id	sid	tid	token	lemma	pos
m-1155	1	1	ijo	ijo	PROPN
m-1155	1	2	international	international	PROPN
m-1155	1	3	journal	journal	PROPN
m-1155	1	4	of	of	ADP
m-1155	1	5	mathematics	mathematics	PROPN
m-1155	1	6	(	(	PUNCT
m-1155	1	7	issn	issn	PROPN
m-1155	1	8	:	:	PUNCT
m-1155	1	9	2992	2992	NUM
m-1155	1	10	-	-	SYM
m-1155	1	11	4421	4421	NUM
m-1155	1	12	)	)	PUNCT
m-1155	1	13	thomas	thomas	PROPN
m-1155	1	14	,	,	PUNCT
m-1155	2	1	henry	henry	PROPN
m-1155	2	2	sylvester	sylvester	PROPN
m-1155	2	3	*	*	PUNCT
m-1155	2	4	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-1155	2	5	volume	volume	NOUN
m-1155	2	6	08	08	NUM
m-1155	2	7	||	||	PROPN
m-1155	2	8	issue	issue	NOUN
m-1155	2	9	09	09	NUM
m-1155	2	10	||	||	NOUN
m-1155	2	11	september	september	PROPN
m-1155	2	12	,	,	PUNCT
m-1155	2	13	2025	2025	NUM
m-1155	2	14	||	||	PUNCT
m-1155	3	1	“	"	PUNCT
m-1155	3	2	caputo	caputo	PROPN
m-1155	3	3	-	-	PUNCT
m-1155	3	4	fabrizio	fabrizio	PROPN
m-1155	3	5	fractional	fractional	ADJ
m-1155	3	6	drivatives	drivative	NOUN
m-1155	3	7	of	of	ADP
m-1155	3	8	age	age	NOUN
m-1155	3	9	-	-	PUNCT
m-1155	3	10	structured	structure	VERB
m-1155	3	11	dipptheria	dipptheria	NOUN
m-1155	3	12	infection	infection	NOUN
m-1155	3	13	model	model	NOUN
m-1155	3	14	with	with	ADP
m-1155	3	15	laplace	laplace	NOUN
m-1155	3	16	adomian	adomian	NOUN
m-1155	3	17	decomposition	decomposition	NOUN
m-1155	3	18	analysis	analysis	NOUN
m-1155	3	19	"	"	PUNCT
m-1155	3	20	caputo	caputo	PROPN
m-1155	3	21	-	-	PUNCT
m-1155	3	22	fabrizio	fabrizio	PROPN
m-1155	3	23	fractional	fractional	ADJ
m-1155	3	24	drivatives	drivative	NOUN
m-1155	3	25	of	of	ADP
m-1155	3	26	age	age	NOUN
m-1155	3	27	-	-	PUNCT
m-1155	3	28	structured	structure	VERB
m-1155	3	29	dipptheria	dipptheria	NOUN
m-1155	3	30	infection	infection	NOUN
m-1155	3	31	model	model	NOUN
m-1155	3	32	with	with	ADP
m-1155	3	33	laplace	laplace	NOUN
m-1155	3	34	adomian	adomian	NOUN
m-1155	3	35	decomposition	decomposition	NOUN
m-1155	3	36	analysis	analysis	NOUN
m-1155	3	37	abstract	abstract	NOUN
m-1155	3	38	:	:	PUNCT
m-1155	3	39	diphtheria	diphtheria	NOUN
m-1155	3	40	is	be	AUX
m-1155	3	41	a	a	DET
m-1155	3	42	bacterial	bacterial	ADJ
m-1155	3	43	infectious	infectious	ADJ
m-1155	3	44	disease	disease	NOUN
m-1155	3	45	that	that	PRON
m-1155	3	46	can	can	AUX
m-1155	3	47	lead	lead	VERB
m-1155	3	48	to	to	ADP
m-1155	3	49	severe	severe	ADJ
m-1155	3	50	complications	complication	NOUN
m-1155	3	51	and	and	CCONJ
m-1155	3	52	even	even	ADV
m-1155	3	53	deaths	death	NOUN
m-1155	3	54	.	.	PUNCT
m-1155	4	1	this	this	DET
m-1155	4	2	work	work	NOUN
m-1155	4	3	presents	present	VERB
m-1155	4	4	the	the	DET
m-1155	4	5	caputo	caputo	PROPN
m-1155	4	6	-	-	PUNCT
m-1155	4	7	fabrizio	fabrizio	PROPN
m-1155	4	8	fractional	fractional	ADJ
m-1155	4	9	derivatives	derivative	NOUN
m-1155	4	10	of	of	ADP
m-1155	4	11	the	the	DET
m-1155	4	12	aged	age	VERB
m-1155	4	13	-	-	PUNCT
m-1155	4	14	structured	structure	VERB
m-1155	4	15	deterministic	deterministic	ADJ
m-1155	4	16	model	model	NOUN
m-1155	4	17	of	of	ADP
m-1155	4	18	diphtheria	diphtheria	NOUN
m-1155	4	19	infection	infection	NOUN
m-1155	4	20	.	.	PUNCT
m-1155	5	1	the	the	DET
m-1155	5	2	existence	existence	NOUN
m-1155	5	3	and	and	CCONJ
m-1155	5	4	the	the	DET
m-1155	5	5	uniqueness	uniqueness	NOUN
m-1155	5	6	of	of	ADP
m-1155	5	7	the	the	DET
m-1155	5	8	solution	solution	NOUN
m-1155	5	9	of	of	ADP
m-1155	5	10	the	the	DET
m-1155	5	11	model	model	NOUN
m-1155	5	12	are	be	AUX
m-1155	5	13	investigated	investigate	VERB
m-1155	5	14	and	and	CCONJ
m-1155	5	15	established	establish	VERB
m-1155	5	16	using	use	VERB
m-1155	5	17	the	the	DET
m-1155	5	18	contraction	contraction	NOUN
m-1155	5	19	principle	principle	NOUN
m-1155	5	20	.	.	PUNCT
m-1155	6	1	the	the	DET
m-1155	6	2	stability	stability	NOUN
m-1155	6	3	of	of	ADP
m-1155	6	4	the	the	DET
m-1155	6	5	model	model	NOUN
m-1155	6	6	is	be	AUX
m-1155	6	7	investigated	investigate	VERB
m-1155	6	8	with	with	ADP
m-1155	6	9	the	the	DET
m-1155	6	10	help	help	NOUN
m-1155	6	11	of	of	ADP
m-1155	6	12	the	the	DET
m-1155	6	13	well	well	ADV
m-1155	6	14	-	-	PUNCT
m-1155	6	15	known	know	VERB
m-1155	6	16	ulem	ulem	NOUN
m-1155	6	17	-	-	PUNCT
m-1155	6	18	hyers	hyer	NOUN
m-1155	6	19	and	and	CCONJ
m-1155	6	20	the	the	DET
m-1155	6	21	generalized	generalized	ADJ
m-1155	6	22	ulem	ulem	NOUN
m-1155	6	23	-	-	PUNCT
m-1155	6	24	hyers	hyer	NOUN
m-1155	6	25	theorems	theorem	NOUN
m-1155	6	26	.	.	PUNCT
m-1155	7	1	analyzing	analyze	VERB
m-1155	7	2	the	the	DET
m-1155	7	3	model	model	NOUN
m-1155	7	4	using	use	VERB
m-1155	7	5	the	the	DET
m-1155	7	6	laplace	laplace	NOUN
m-1155	7	7	adomian	adomian	NOUN
m-1155	7	8	decomposition	decomposition	NOUN
m-1155	7	9	methods	method	NOUN
m-1155	7	10	,	,	PUNCT
m-1155	7	11	the	the	DET
m-1155	7	12	system	system	NOUN
m-1155	7	13	’s	’s	PART
m-1155	7	14	analytical	analytical	ADJ
m-1155	7	15	solution	solution	NOUN
m-1155	7	16	,	,	PUNCT
m-1155	7	17	in	in	ADP
m-1155	7	18	the	the	DET
m-1155	7	19	form	form	NOUN
m-1155	7	20	of	of	ADP
m-1155	7	21	an	an	DET
m-1155	7	22	infinite	infinite	ADJ
m-1155	7	23	series	series	NOUN
m-1155	7	24	that	that	PRON
m-1155	7	25	converges	converge	VERB
m-1155	7	26	quickly	quickly	ADV
m-1155	7	27	to	to	ADP
m-1155	7	28	it	it	PRON
m-1155	7	29	exact	exact	ADJ
m-1155	7	30	value	value	NOUN
m-1155	7	31	is	be	AUX
m-1155	7	32	obtained	obtain	VERB
m-1155	7	33	.	.	PUNCT
m-1155	8	1	keywords	keyword	NOUN
m-1155	8	2	:	:	PUNCT
m-1155	8	3	diphtheria	diphtheria	PROPN
m-1155	8	4	,	,	PUNCT
m-1155	8	5	caputo	caputo	PROPN
m-1155	8	6	-	-	PUNCT
m-1155	8	7	fabrizio	fabrizio	PROPN
m-1155	8	8	,	,	PUNCT
m-1155	8	9	adomian	adomian	NOUN
m-1155	8	10	decomposition	decomposition	NOUN
m-1155	8	11	,	,	PUNCT
m-1155	8	12	aged	age	VERB
m-1155	8	13	-	-	PUNCT
m-1155	8	14	structured	structure	VERB
m-1155	8	15	,	,	PUNCT
m-1155	8	16	contraction	contraction	NOUN
m-1155	8	17	principle	principle	ADJ
m-1155	8	18	introduction	introduction	NOUN
m-1155	8	19	1.1	1.1	NUM
m-1155	8	20	introduction	introduction	NOUN
m-1155	8	21	diphtheria	diphtheria	NOUN
m-1155	8	22	is	be	AUX
m-1155	8	23	one	one	NUM
m-1155	8	24	of	of	ADP
m-1155	8	25	the	the	DET
m-1155	8	26	respiratory	respiratory	ADJ
m-1155	8	27	diseases	disease	NOUN
m-1155	8	28	raphaging	raphage	VERB
m-1155	8	29	the	the	DET
m-1155	8	30	population	population	NOUN
m-1155	8	31	in	in	ADP
m-1155	8	32	recent	recent	ADJ
m-1155	8	33	time	time	NOUN
m-1155	8	34	.	.	PUNCT
m-1155	9	1	it	it	PRON
m-1155	9	2	is	be	AUX
m-1155	9	3	a	a	DET
m-1155	9	4	bacterial	bacterial	ADJ
m-1155	9	5	(	(	PUNCT
m-1155	9	6	corynebacteriumdiptheriae	corynebacteriumdiptheriae	NOUN
m-1155	9	7	)	)	PUNCT
m-1155	9	8	infectious	infectious	ADJ
m-1155	9	9	disease	disease	NOUN
m-1155	9	10	that	that	PRON
m-1155	9	11	can	can	AUX
m-1155	9	12	lead	lead	VERB
m-1155	9	13	to	to	ADP
m-1155	9	14	severe	severe	ADJ
m-1155	9	15	complications	complication	NOUN
m-1155	9	16	such	such	ADJ
m-1155	9	17	as	as	ADP
m-1155	9	18	respiratory	respiratory	ADJ
m-1155	9	19	failure	failure	NOUN
m-1155	9	20	,	,	PUNCT
m-1155	9	21	heart	heart	NOUN
m-1155	9	22	problems	problem	NOUN
m-1155	9	23	and	and	CCONJ
m-1155	9	24	even	even	ADV
m-1155	9	25	deaths	death	NOUN
m-1155	9	26	if	if	SCONJ
m-1155	9	27	it	it	PRON
m-1155	9	28	is	be	AUX
m-1155	9	29	not	not	PART
m-1155	9	30	detected	detect	VERB
m-1155	9	31	early	early	ADV
m-1155	9	32	.	.	PUNCT
m-1155	10	1	this	this	DET
m-1155	10	2	infection	infection	NOUN
m-1155	10	3	that	that	PRON
m-1155	10	4	mostly	mostly	ADV
m-1155	10	5	affects	affect	VERB
m-1155	10	6	the	the	DET
m-1155	10	7	throat	throat	NOUN
m-1155	10	8	and	and	CCONJ
m-1155	10	9	the	the	DET
m-1155	10	10	nose	nose	NOUN
m-1155	10	11	can	can	AUX
m-1155	10	12	be	be	AUX
m-1155	10	13	prevented	prevent	VERB
m-1155	10	14	by	by	ADP
m-1155	10	15	vaccination	vaccination	NOUN
m-1155	10	16	.	.	PUNCT
m-1155	11	1	case	case	NOUN
m-1155	11	2	-	-	PUNCT
m-1155	11	3	fatality	fatality	NOUN
m-1155	11	4	occurs	occur	VERB
m-1155	11	5	only	only	ADV
m-1155	11	6	in	in	ADP
m-1155	11	7	places	place	NOUN
m-1155	11	8	where	where	SCONJ
m-1155	11	9	there	there	PRON
m-1155	11	10	is	be	VERB
m-1155	11	11	poor	poor	ADJ
m-1155	11	12	sanitation	sanitation	NOUN
m-1155	11	13	condition	condition	NOUN
m-1155	11	14	and	and	CCONJ
m-1155	11	15	inadequate	inadequate	ADJ
m-1155	11	16	vaccination	vaccination	NOUN
m-1155	11	17	coverage	coverage	NOUN
m-1155	11	18	as	as	ADP
m-1155	11	19	a	a	DET
m-1155	11	20	result	result	NOUN
m-1155	11	21	of	of	ADP
m-1155	11	22	low	low	ADJ
m-1155	11	23	resources	resource	NOUN
m-1155	11	24	[	[	X
m-1155	11	25	1,2,3	1,2,3	NUM
m-1155	11	26	]	]	X
m-1155	11	27	diphtheria	diphtheria	NOUN
m-1155	11	28	is	be	AUX
m-1155	11	29	a	a	DET
m-1155	11	30	highly	highly	ADV
m-1155	11	31	contagious	contagious	ADJ
m-1155	11	32	infection	infection	NOUN
m-1155	11	33	that	that	PRON
m-1155	11	34	spreads	spread	VERB
m-1155	11	35	primarily	primarily	ADV
m-1155	11	36	through	through	ADP
m-1155	11	37	person	person	NOUN
m-1155	11	38	-	-	PUNCT
m-1155	11	39	to	to	ADP
m-1155	11	40	-	-	PUNCT
m-1155	11	41	person	person	NOUN
m-1155	11	42	contact	contact	NOUN
m-1155	11	43	via	via	ADP
m-1155	11	44	respiratory	respiratory	ADJ
m-1155	11	45	droplets(coughing	droplets(coughing	NOUN
m-1155	11	46	,	,	PUNCT
m-1155	11	47	sneezing	sneeze	VERB
m-1155	11	48	or	or	CCONJ
m-1155	11	49	spitting	spitting	NOUN
m-1155	11	50	)	)	PUNCT
m-1155	11	51	or	or	CCONJ
m-1155	11	52	direct	direct	ADJ
m-1155	11	53	contact	contact	NOUN
m-1155	11	54	with	with	ADP
m-1155	11	55	infected	infected	ADJ
m-1155	11	56	skin	skin	NOUN
m-1155	11	57	lessions	lession	NOUN
m-1155	11	58	or	or	CCONJ
m-1155	11	59	any	any	DET
m-1155	11	60	material	material	NOUN
m-1155	11	61	(	(	PUNCT
m-1155	11	62	like	like	INTJ
m-1155	11	63	clothe	clothe	NOUN
m-1155	11	64	)	)	PUNCT
m-1155	11	65	that	that	PRON
m-1155	11	66	has	have	AUX
m-1155	11	67	been	be	AUX
m-1155	11	68	in	in	ADP
m-1155	11	69	contact	contact	NOUN
m-1155	11	70	with	with	ADP
m-1155	11	71	the	the	DET
m-1155	11	72	bacteria	bacteria	NOUN
m-1155	11	73	.	.	PUNCT
m-1155	12	1	it	it	PRON
m-1155	12	2	is	be	AUX
m-1155	12	3	possible	possible	ADJ
m-1155	12	4	to	to	PART
m-1155	12	5	get	get	VERB
m-1155	12	6	diphtheria	diphtheria	NOUN
m-1155	12	7	more	more	ADJ
m-1155	12	8	than	than	ADP
m-1155	12	9	once	once	ADV
m-1155	12	10	.	.	PUNCT
m-1155	13	1	anyone	anyone	PRON
m-1155	13	2	who	who	PRON
m-1155	13	3	is	be	AUX
m-1155	13	4	not	not	PART
m-1155	13	5	protected	protect	VERB
m-1155	13	6	by	by	ADP
m-1155	13	7	diphtheria	diphtheria	NOUN
m-1155	13	8	vaccine	vaccine	NOUN
m-1155	13	9	and	and	CCONJ
m-1155	13	10	comes	come	VERB
m-1155	13	11	in	in	ADP
m-1155	13	12	close	close	ADJ
m-1155	13	13	contact	contact	NOUN
m-1155	13	14	with	with	ADP
m-1155	13	15	diphtheria	diphtheria	NOUN
m-1155	13	16	is	be	AUX
m-1155	13	17	susceptible	susceptible	ADJ
m-1155	13	18	.	.	PUNCT
m-1155	14	1	some	some	PRON
m-1155	14	2	of	of	ADP
m-1155	14	3	the	the	DET
m-1155	14	4	symptoms	symptom	NOUN
m-1155	14	5	/	/	SYM
m-1155	14	6	signs	sign	NOUN
m-1155	14	7	of	of	ADP
m-1155	14	8	diphtheria	diphtheria	NOUN
m-1155	14	9	are	be	AUX
m-1155	14	10	:	:	PUNCT
m-1155	14	11	throat	throat	NOUN
m-1155	14	12	pain	pain	NOUN
m-1155	14	13	,	,	PUNCT
m-1155	14	14	weakness/	weakness/	NUM
m-1155	14	15	fatigue	fatigue	NOUN
m-1155	14	16	,	,	PUNCT
m-1155	14	17	fever	fever	NOUN
m-1155	14	18	,	,	PUNCT
m-1155	14	19	swollen	swollen	ADJ
m-1155	14	20	neck	neck	NOUN
m-1155	14	21	glands	gland	NOUN
m-1155	14	22	,	,	PUNCT
m-1155	14	23	problems	problem	NOUN
m-1155	14	24	breathing	breathe	VERB
m-1155	14	25	due	due	ADP
m-1155	14	26	to	to	ADP
m-1155	14	27	tissues	tissue	NOUN
m-1155	14	28	obstructing	obstruct	VERB
m-1155	14	29	nose	nose	NOUN
m-1155	14	30	and	and	CCONJ
m-1155	14	31	throat	throat	NOUN
m-1155	14	32	,	,	PUNCT
m-1155	14	33	nerve	nerve	NOUN
m-1155	14	34	,	,	PUNCT
m-1155	14	35	kidney	kidney	NOUN
m-1155	14	36	or	or	CCONJ
m-1155	14	37	heart	heart	NOUN
m-1155	14	38	problems	problem	NOUN
m-1155	14	39	(	(	PUNCT
m-1155	14	40	if	if	SCONJ
m-1155	14	41	the	the	DET
m-1155	14	42	bacteria	bacteria	NOUN
m-1155	14	43	enters	enter	VERB
m-1155	14	44	the	the	DET
m-1155	14	45	blood	blood	NOUN
m-1155	14	46	stream	stream	NOUN
m-1155	14	47	)	)	PUNCT
m-1155	14	48	.	.	PUNCT
m-1155	15	1	the	the	DET
m-1155	15	2	incubation	incubation	NOUN
m-1155	15	3	period	period	NOUN
m-1155	15	4	is	be	AUX
m-1155	15	5	one	one	NUM
m-1155	15	6	to	to	PART
m-1155	15	7	ten	ten	NUM
m-1155	15	8	days	day	NOUN
m-1155	15	9	after	after	ADP
m-1155	15	10	exposure	exposure	NOUN
m-1155	15	11	(	(	PUNCT
m-1155	15	12	4	4	NUM
m-1155	15	13	,	,	PUNCT
m-1155	15	14	5	5	NUM
m-1155	15	15	,	,	PUNCT
m-1155	15	16	6,7,8	6,7,8	NUM
m-1155	15	17	)	)	PUNCT
m-1155	15	18	thomas	thomas	PROPN
m-1155	15	19	,	,	PUNCT
m-1155	15	20	henry	henry	PROPN
m-1155	15	21	sylvester	sylvester	PROPN
m-1155	15	22	and	and	CCONJ
m-1155	15	23	udofia	udofia	PROPN
m-1155	15	24	,	,	PUNCT
m-1155	15	25	ekere	ekere	ADJ
m-1155	15	26	sunday	sunday	PROPN
m-1155	15	27	akpan	akpan	PROPN
m-1155	15	28	,	,	PUNCT
m-1155	15	29	ubong	ubong	PROPN
m-1155	15	30	dominic	dominic	PROPN
m-1155	15	31	department	department	PROPN
m-1155	15	32	of	of	ADP
m-1155	15	33	mathematics	mathematics	PROPN
m-1155	15	34	,	,	PUNCT
m-1155	15	35	aksu	aksu	PROPN
m-1155	15	36	uwakwe	uwakwe	NOUN
m-1155	15	37	,	,	PUNCT
m-1155	15	38	joy	joy	NOUN
m-1155	15	39	ijeoma	ijeoma	NOUN
m-1155	15	40	,	,	PUNCT
m-1155	15	41	department	department	NOUN
m-1155	15	42	of	of	ADP
m-1155	15	43	mathematics	mathematic	NOUN
m-1155	15	44	,	,	PUNCT
m-1155	15	45	alvan	alvan	PROPN
m-1155	15	46	ikoku	ikoku	PROPN
m-1155	15	47	university	university	PROPN
m-1155	15	48	of	of	ADP
m-1155	15	49	education	education	PROPN
m-1155	15	50	,	,	PUNCT
m-1155	15	51	owerri	owerri	PROPN
m-1155	15	52	department	department	PROPN
m-1155	15	53	of	of	ADP
m-1155	15	54	mathematics	mathematics	PROPN
m-1155	15	55	akwaibom	akwaibom	NOUN
m-1155	15	56	state	state	PROPN
m-1155	15	57	university	university	PROPN
m-1155	15	58	,	,	PUNCT
m-1155	15	59	ikotakpaden	ikotakpaden	ADJ
m-1155	15	60	,	,	PUNCT
m-1155	15	61	akwaibom	akwaibom	NOUN
m-1155	15	62	state	state	NOUN
m-1155	15	63	,	,	PUNCT
m-1155	15	64	nigeria	nigeria	PROPN
m-1155	15	65	ijo	ijo	PROPN
m-1155	15	66	journals	journals	PROPN
m-1155	15	67	volume	volume	NOUN
m-1155	15	68	08	08	NUM
m-1155	16	1	|	|	ADV
m-1155	16	2	issue	issue	NOUN
m-1155	16	3	09	09	NUM
m-1155	16	4	|	|	ADV
m-1155	16	5	september	september	PROPN
m-1155	16	6	2025	2025	NUM
m-1155	17	1	|	|	ADV
m-1155	17	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-1155	17	3	38	38	NUM
m-1155	17	4	ijo	ijo	PROPN
m-1155	17	5	international	international	ADJ
m-1155	17	6	journal	journal	PROPN
m-1155	17	7	of	of	ADP
m-1155	17	8	mathematics	mathematics	PROPN
m-1155	17	9	(	(	PUNCT
m-1155	17	10	issn	issn	PROPN
m-1155	17	11	:	:	PUNCT
m-1155	17	12	2992	2992	NUM
m-1155	17	13	-	-	SYM
m-1155	17	14	4421	4421	NUM
m-1155	17	15	)	)	PUNCT
m-1155	18	1	thomas	thomas	PROPN
m-1155	18	2	,	,	PUNCT
m-1155	18	3	henry	henry	PROPN
m-1155	18	4	sylvester	sylvester	PROPN
m-1155	18	5	*	*	PUNCT
m-1155	18	6	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-1155	18	7	volume	volume	NOUN
m-1155	18	8	08	08	NUM
m-1155	18	9	||	||	PROPN
m-1155	18	10	issue	issue	NOUN
m-1155	18	11	09	09	NUM
m-1155	18	12	||	||	NOUN
m-1155	18	13	september	september	PROPN
m-1155	18	14	,	,	PUNCT
m-1155	18	15	2025	2025	NUM
m-1155	18	16	||	||	PUNCT
m-1155	19	1	“	"	PUNCT
m-1155	19	2	caputo	caputo	PROPN
m-1155	19	3	-	-	PUNCT
m-1155	19	4	fabrizio	fabrizio	PROPN
m-1155	19	5	fractional	fractional	ADJ
m-1155	19	6	drivatives	drivative	NOUN
m-1155	19	7	of	of	ADP
m-1155	19	8	age	age	NOUN
m-1155	19	9	-	-	PUNCT
m-1155	19	10	structured	structure	VERB
m-1155	19	11	dipptheria	dipptheria	NOUN
m-1155	19	12	infection	infection	NOUN
m-1155	19	13	model	model	NOUN
m-1155	19	14	with	with	ADP
m-1155	19	15	laplace	laplace	NOUN
m-1155	19	16	adomian	adomian	NOUN
m-1155	19	17	decomposition	decomposition	NOUN
m-1155	19	18	analysis	analysis	NOUN
m-1155	19	19	"	"	PUNCT
m-1155	19	20	to	to	PART
m-1155	19	21	effectively	effectively	ADV
m-1155	19	22	contend	contend	VERB
m-1155	19	23	the	the	DET
m-1155	19	24	spread	spread	NOUN
m-1155	19	25	of	of	ADP
m-1155	19	26	diphtheria	diphtheria	NOUN
m-1155	19	27	,	,	PUNCT
m-1155	19	28	different	different	ADJ
m-1155	19	29	control	control	NOUN
m-1155	19	30	measures	measure	NOUN
m-1155	19	31	,	,	PUNCT
m-1155	19	32	such	such	ADJ
m-1155	19	33	as	as	ADP
m-1155	19	34	isolation	isolation	NOUN
m-1155	19	35	of	of	ADP
m-1155	19	36	patient	patient	NOUN
m-1155	19	37	,	,	PUNCT
m-1155	19	38	maintenance	maintenance	NOUN
m-1155	19	39	of	of	ADP
m-1155	19	40	one	one	NUM
m-1155	19	41	meter	meter	NOUN
m-1155	19	42	between	between	ADP
m-1155	19	43	patients	patient	NOUN
m-1155	19	44	,	,	PUNCT
m-1155	19	45	keeping	keep	VERB
m-1155	19	46	patient	patient	ADJ
m-1155	19	47	care	care	NOUN
m-1155	19	48	areas	area	NOUN
m-1155	19	49	with	with	ADP
m-1155	19	50	good	good	ADJ
m-1155	19	51	ventilation	ventilation	NOUN
m-1155	19	52	,	,	PUNCT
m-1155	19	53	the	the	DET
m-1155	19	54	use	use	NOUN
m-1155	19	55	mask	mask	NOUN
m-1155	19	56	that	that	PRON
m-1155	19	57	is	be	AUX
m-1155	19	58	medically	medically	ADV
m-1155	19	59	prepared	prepare	VERB
m-1155	19	60	and	and	CCONJ
m-1155	19	61	cover	cover	VERB
m-1155	19	62	any	any	DET
m-1155	19	63	wound	wound	NOUN
m-1155	19	64	/	/	SYM
m-1155	19	65	lesions	lesion	NOUN
m-1155	19	66	on	on	ADP
m-1155	19	67	patient	patient	NOUN
m-1155	19	68	’s	’s	PART
m-1155	19	69	body	body	NOUN
m-1155	19	70	by	by	ADP
m-1155	19	71	patient	patient	NOUN
m-1155	19	72	who	who	PRON
m-1155	19	73	may	may	AUX
m-1155	19	74	have	have	VERB
m-1155	19	75	to	to	PART
m-1155	19	76	move	move	VERB
m-1155	19	77	out	out	ADP
m-1155	19	78	of	of	ADP
m-1155	19	79	the	the	DET
m-1155	19	80	isolation	isolation	NOUN
m-1155	19	81	areas	area	NOUN
m-1155	19	82	,	,	PUNCT
m-1155	19	83	population	population	NOUN
m-1155	19	84	subgroup	subgroup	NOUN
m-1155	19	85	such	such	ADJ
m-1155	19	86	as	as	ADP
m-1155	19	87	young	young	ADJ
m-1155	19	88	children	child	NOUN
m-1155	19	89	under	under	ADP
m-1155	19	90	five	five	NUM
m-1155	19	91	years	year	NOUN
m-1155	19	92	of	of	ADP
m-1155	19	93	age	age	NOUN
m-1155	19	94	,	,	PUNCT
m-1155	19	95	school	school	NOUN
m-1155	19	96	children	child	NOUN
m-1155	19	97	,	,	PUNCT
m-1155	19	98	elderly	elderly	ADJ
m-1155	19	99	who	who	PRON
m-1155	19	100	are	be	AUX
m-1155	19	101	at	at	ADP
m-1155	19	102	greater	great	ADJ
m-1155	19	103	risk	risk	NOUN
m-1155	19	104	and	and	CCONJ
m-1155	19	105	have	have	VERB
m-1155	19	106	close	close	ADJ
m-1155	19	107	contact	contact	NOUN
m-1155	19	108	with	with	ADP
m-1155	19	109	diphtheria	diphtheria	NOUN
m-1155	19	110	infection	infection	NOUN
m-1155	19	111	and	and	CCONJ
m-1155	19	112	health	health	NOUN
m-1155	19	113	workers	worker	NOUN
m-1155	19	114	should	should	AUX
m-1155	19	115	highly	highly	ADV
m-1155	19	116	prioritized	prioritize	VERB
m-1155	19	117	with	with	ADP
m-1155	19	118	treatment	treatment	NOUN
m-1155	19	119	and	and	CCONJ
m-1155	19	120	vaccination	vaccination	NOUN
m-1155	19	121	,	,	PUNCT
m-1155	19	122	epidemiological	epidemiological	ADJ
m-1155	19	123	surveillance	surveillance	NOUN
m-1155	19	124	ensuring	ensure	VERB
m-1155	19	125	early	early	ADJ
m-1155	19	126	detection	detection	NOUN
m-1155	19	127	of	of	ADP
m-1155	19	128	diphtheria	diphtheria	NOUN
m-1155	19	129	outbreak	outbreak	NOUN
m-1155	19	130	,	,	PUNCT
m-1155	19	131	administering	administer	VERB
m-1155	19	132	antitoxin	antitoxin	NOUN
m-1155	19	133	to	to	PART
m-1155	19	134	neutralize	neutralize	VERB
m-1155	19	135	the	the	DET
m-1155	19	136	toxin	toxin	NOUN
m-1155	19	137	and	and	CCONJ
m-1155	19	138	antibiotics	antibiotic	NOUN
m-1155	19	139	to	to	PART
m-1155	19	140	kill	kill	VERB
m-1155	19	141	the	the	DET
m-1155	19	142	bacteria	bacteria	NOUN
m-1155	19	143	,	,	PUNCT
m-1155	19	144	reducing	reduce	VERB
m-1155	19	145	complication	complication	NOUN
m-1155	19	146	and	and	CCONJ
m-1155	19	147	mortality	mortality	NOUN
m-1155	19	148	should	should	AUX
m-1155	19	149	be	be	AUX
m-1155	19	150	implemented	implement	VERB
m-1155	19	151	[	[	PUNCT
m-1155	19	152	6,7,8	6,7,8	NUM
m-1155	19	153	]	]	X
m-1155	19	154	.	.	PUNCT
m-1155	20	1	understanding	understanding	NOUN
m-1155	20	2	,	,	PUNCT
m-1155	20	3	describing	describe	VERB
m-1155	20	4	and	and	CCONJ
m-1155	20	5	analyzing	analyze	VERB
m-1155	20	6	the	the	DET
m-1155	20	7	dynamics	dynamic	NOUN
m-1155	20	8	of	of	ADP
m-1155	20	9	infectious	infectious	ADJ
m-1155	20	10	diseases	disease	NOUN
m-1155	20	11	[	[	PUNCT
m-1155	20	12	9	9	NUM
m-1155	20	13	,	,	PUNCT
m-1155	20	14	10	10	NUM
m-1155	20	15	,	,	PUNCT
m-1155	20	16	11	11	NUM
m-1155	20	17	,	,	PUNCT
m-1155	20	18	12	12	NUM
m-1155	20	19	,	,	PUNCT
m-1155	20	20	13	13	NUM
m-1155	20	21	,	,	PUNCT
m-1155	20	22	14	14	NUM
m-1155	20	23	,	,	PUNCT
m-1155	20	24	15,16	15,16	NUM
m-1155	20	25	,	,	PUNCT
m-1155	20	26	17,18	17,18	NUM
m-1155	20	27	]	]	PUNCT
m-1155	20	28	have	have	AUX
m-1155	20	29	been	be	AUX
m-1155	20	30	key	key	ADJ
m-1155	20	31	in	in	ADP
m-1155	20	32	guiding	guide	VERB
m-1155	20	33	decisions	decision	NOUN
m-1155	20	34	and	and	CCONJ
m-1155	20	35	policies	policy	NOUN
m-1155	20	36	in	in	ADP
m-1155	20	37	public	public	ADJ
m-1155	20	38	health	health	NOUN
m-1155	20	39	system	system	NOUN
m-1155	20	40	.	.	PUNCT
m-1155	21	1	in	in	ADP
m-1155	21	2	recent	recent	ADJ
m-1155	21	3	time	time	NOUN
m-1155	21	4	,	,	PUNCT
m-1155	21	5	mathematicians	mathematician	NOUN
m-1155	21	6	and	and	CCONJ
m-1155	21	7	epidemiologist	epidemiologist	NOUN
m-1155	21	8	have	have	AUX
m-1155	21	9	demonstrated	demonstrate	VERB
m-1155	21	10	great	great	ADJ
m-1155	21	11	effort	effort	NOUN
m-1155	21	12	in	in	ADP
m-1155	21	13	understanding	understanding	NOUN
m-1155	21	14	and	and	CCONJ
m-1155	21	15	describing	describe	VERB
m-1155	21	16	the	the	DET
m-1155	21	17	dynamics	dynamic	NOUN
m-1155	21	18	of	of	ADP
m-1155	21	19	diphtheria	diphtheria	NOUN
m-1155	21	20	infection	infection	NOUN
m-1155	21	21	.	.	PUNCT
m-1155	22	1	[	[	X
m-1155	22	2	19	19	NUM
m-1155	22	3	]	]	PUNCT
m-1155	22	4	,	,	PUNCT
m-1155	22	5	presented	present	VERB
m-1155	22	6	the	the	DET
m-1155	22	7	mathematical	mathematical	ADJ
m-1155	22	8	model	model	NOUN
m-1155	22	9	of	of	ADP
m-1155	22	10	diphtheria	diphtheria	NOUN
m-1155	22	11	diseases	disease	NOUN
m-1155	22	12	that	that	PRON
m-1155	22	13	categorizes	categorize	VERB
m-1155	22	14	the	the	DET
m-1155	22	15	individuals	individual	NOUN
m-1155	22	16	based	base	VERB
m-1155	22	17	on	on	ADP
m-1155	22	18	susceptibility	susceptibility	NOUN
m-1155	22	19	,	,	PUNCT
m-1155	22	20	vaccination	vaccination	NOUN
m-1155	22	21	,	,	PUNCT
m-1155	22	22	infected	infected	ADJ
m-1155	22	23	and	and	CCONJ
m-1155	22	24	recovery	recovery	NOUN
m-1155	22	25	status	status	NOUN
m-1155	22	26	.	.	PUNCT
m-1155	23	1	the	the	DET
m-1155	23	2	stability	stability	NOUN
m-1155	23	3	of	of	ADP
m-1155	23	4	the	the	DET
m-1155	23	5	system	system	NOUN
m-1155	23	6	wa	wa	PROPN
m-1155	23	7	confirmed	confirm	VERB
m-1155	23	8	,	,	PUNCT
m-1155	23	9	the	the	DET
m-1155	23	10	basic	basic	ADJ
m-1155	23	11	reproductive	reproductive	ADJ
m-1155	23	12	ratio	ratio	NOUN
m-1155	23	13	was	be	AUX
m-1155	23	14	calculated	calculate	VERB
m-1155	23	15	.	.	PUNCT
m-1155	24	1	they	they	PRON
m-1155	24	2	also	also	ADV
m-1155	24	3	converted	convert	VERB
m-1155	24	4	the	the	DET
m-1155	24	5	deterministic	deterministic	ADJ
m-1155	24	6	model	model	NOUN
m-1155	24	7	into	into	ADP
m-1155	24	8	caputo	caputo	PROPN
m-1155	24	9	-	-	PUNCT
m-1155	24	10	fabrizio	fabrizio	PROPN
m-1155	24	11	fractional	fractional	ADJ
m-1155	24	12	order	order	NOUN
m-1155	24	13	model	model	NOUN
m-1155	24	14	,	,	PUNCT
m-1155	24	15	analyzed	analyze	VERB
m-1155	24	16	it	it	PRON
m-1155	24	17	for	for	ADP
m-1155	24	18	existence	existence	NOUN
m-1155	24	19	and	and	CCONJ
m-1155	24	20	uniqueness	uniqueness	NOUN
m-1155	24	21	of	of	ADP
m-1155	24	22	solution	solution	NOUN
m-1155	24	23	using	use	VERB
m-1155	24	24	appropriate	appropriate	ADJ
m-1155	24	25	principle	principle	NOUN
m-1155	24	26	.	.	PUNCT
m-1155	25	1	adomian	adomian	NOUN
m-1155	25	2	decomposition	decomposition	NOUN
m-1155	25	3	method	method	NOUN
m-1155	25	4	was	be	AUX
m-1155	25	5	applied	apply	VERB
m-1155	25	6	for	for	ADP
m-1155	25	7	numerical	numerical	ADJ
m-1155	25	8	solution	solution	NOUN
m-1155	25	9	of	of	ADP
m-1155	25	10	the	the	DET
m-1155	25	11	model	model	NOUN
m-1155	25	12	.	.	PUNCT
m-1155	26	1	in	in	ADP
m-1155	26	2	the	the	DET
m-1155	26	3	research	research	NOUN
m-1155	26	4	under	under	ADP
m-1155	26	5	consideration	consideration	NOUN
m-1155	26	6	,	,	PUNCT
m-1155	26	7	we	we	PRON
m-1155	26	8	seek	seek	VERB
m-1155	26	9	to	to	PART
m-1155	26	10	transform	transform	VERB
m-1155	26	11	the	the	DET
m-1155	26	12	aged	age	VERB
m-1155	26	13	-	-	PUNCT
m-1155	26	14	structured	structure	VERB
m-1155	26	15	deterministic	deterministic	ADJ
m-1155	26	16	model	model	NOUN
m-1155	26	17	of	of	ADP
m-1155	26	18	diphtheria	diphtheria	NOUN
m-1155	26	19	infection	infection	NOUN
m-1155	26	20	[	[	X
m-1155	26	21	8,9	8,9	NUM
m-1155	26	22	]	]	PUNCT
m-1155	26	23	into	into	ADP
m-1155	26	24	the	the	DET
m-1155	26	25	caputo	caputo	NOUN
m-1155	26	26	-	-	PUNCT
m-1155	26	27	fractional	fractional	ADJ
m-1155	26	28	order	order	NOUN
m-1155	26	29	of	of	ADP
m-1155	26	30	aged	aged	ADJ
m-1155	26	31	-	-	PUNCT
m-1155	26	32	structured	structure	VERB
m-1155	26	33	model	model	NOUN
m-1155	26	34	of	of	ADP
m-1155	26	35	diphtheria	diphtheria	NOUN
m-1155	26	36	infection	infection	NOUN
m-1155	26	37	.	.	PUNCT
m-1155	27	1	the	the	DET
m-1155	27	2	existence	existence	NOUN
m-1155	27	3	and	and	CCONJ
m-1155	27	4	the	the	DET
m-1155	27	5	uniqueness	uniqueness	NOUN
m-1155	27	6	of	of	ADP
m-1155	27	7	the	the	DET
m-1155	27	8	solution	solution	NOUN
m-1155	27	9	of	of	ADP
m-1155	27	10	the	the	DET
m-1155	27	11	model	model	NOUN
m-1155	27	12	shall	shall	AUX
m-1155	27	13	be	be	AUX
m-1155	27	14	investigated	investigate	VERB
m-1155	27	15	and	and	CCONJ
m-1155	27	16	established	establish	VERB
m-1155	27	17	using	use	VERB
m-1155	27	18	the	the	DET
m-1155	27	19	contraction	contraction	NOUN
m-1155	27	20	principle	principle	NOUN
m-1155	27	21	.	.	PUNCT
m-1155	28	1	the	the	DET
m-1155	28	2	stability	stability	NOUN
m-1155	28	3	of	of	ADP
m-1155	28	4	the	the	DET
m-1155	28	5	model	model	NOUN
m-1155	28	6	shall	shall	AUX
m-1155	28	7	be	be	AUX
m-1155	28	8	investigated	investigate	VERB
m-1155	28	9	with	with	ADP
m-1155	28	10	the	the	DET
m-1155	28	11	help	help	NOUN
m-1155	28	12	of	of	ADP
m-1155	28	13	the	the	DET
m-1155	28	14	well	well	ADV
m-1155	28	15	-	-	PUNCT
m-1155	28	16	known	know	VERB
m-1155	28	17	ulem	ulem	NOUN
m-1155	28	18	-	-	PUNCT
m-1155	28	19	hyers	hyer	NOUN
m-1155	28	20	and	and	CCONJ
m-1155	28	21	the	the	DET
m-1155	28	22	generalized	generalized	ADJ
m-1155	28	23	ulem	ulem	NOUN
m-1155	28	24	-	-	PUNCT
m-1155	28	25	hyers	hyer	NOUN
m-1155	28	26	theorems	theorem	NOUN
m-1155	28	27	.	.	PUNCT
m-1155	29	1	analyzing	analyze	VERB
m-1155	29	2	the	the	DET
m-1155	29	3	model	model	NOUN
m-1155	29	4	using	use	VERB
m-1155	29	5	the	the	DET
m-1155	29	6	laplace	laplace	NOUN
m-1155	29	7	adomian	adomian	NOUN
m-1155	29	8	decomposition	decomposition	NOUN
m-1155	29	9	methods	method	NOUN
m-1155	29	10	,	,	PUNCT
m-1155	29	11	the	the	DET
m-1155	29	12	system	system	NOUN
m-1155	29	13	’s	’s	PART
m-1155	29	14	analytical	analytical	ADJ
m-1155	29	15	solution	solution	NOUN
m-1155	29	16	,	,	PUNCT
m-1155	29	17	in	in	ADP
m-1155	29	18	the	the	DET
m-1155	29	19	form	form	NOUN
m-1155	29	20	of	of	ADP
m-1155	29	21	an	an	DET
m-1155	29	22	infinite	infinite	ADJ
m-1155	29	23	series	series	NOUN
m-1155	29	24	that	that	PRON
m-1155	29	25	converges	converge	VERB
m-1155	29	26	quickly	quickly	ADV
m-1155	29	27	to	to	ADP
m-1155	29	28	it	it	PRON
m-1155	29	29	exact	exact	ADJ
m-1155	29	30	value	value	NOUN
m-1155	29	31	shall	shall	AUX
m-1155	29	32	be	be	AUX
m-1155	29	33	obtained	obtain	VERB
m-1155	29	34	.	.	PUNCT
m-1155	30	1	2.0	2.0	NUM
m-1155	30	2	model	model	NOUN
m-1155	30	3	formulation	formulation	NOUN
m-1155	30	4	2.1	2.1	NUM
m-1155	30	5	assumptions	assumption	NOUN
m-1155	30	6	1	1	NUM
m-1155	30	7	.	.	PUNCT
m-1155	31	1	the	the	DET
m-1155	31	2	control	control	NOUN
m-1155	31	3	of	of	ADP
m-1155	31	4	diphtheria	diphtheria	NOUN
m-1155	31	5	is	be	AUX
m-1155	31	6	based	base	VERB
m-1155	31	7	on	on	ADP
m-1155	31	8	primary	primary	ADJ
m-1155	31	9	prevention	prevention	NOUN
m-1155	31	10	of	of	ADP
m-1155	31	11	disease	disease	NOUN
m-1155	31	12	by	by	ADP
m-1155	31	13	ensuring	ensure	VERB
m-1155	31	14	high	high	ADJ
m-1155	31	15	population	population	NOUN
m-1155	31	16	immunity	immunity	NOUN
m-1155	31	17	of	of	ADP
m-1155	31	18	the	the	DET
m-1155	31	19	infant	infant	NOUN
m-1155	31	20	(	(	PUNCT
m-1155	31	21	(	(	PUNCT
m-1155	31	22	0	0	NUM
m-1155	31	23	-	-	SYM
m-1155	31	24	1	1	NUM
m-1155	31	25	year	year	NOUN
m-1155	31	26	)	)	PUNCT
m-1155	31	27	and	and	CCONJ
m-1155	31	28	school	school	NOUN
m-1155	31	29	children	child	NOUN
m-1155	31	30	by	by	ADP
m-1155	31	31	vaccination	vaccination	NOUN
m-1155	31	32	2	2	NUM
m-1155	31	33	.	.	PUNCT
m-1155	32	1	isolation	isolation	NOUN
m-1155	32	2	of	of	ADP
m-1155	32	3	detected	detect	VERB
m-1155	32	4	cases	case	NOUN
m-1155	32	5	(	(	PUNCT
m-1155	32	6	that	that	PRON
m-1155	32	7	is	be	AUX
m-1155	32	8	confirmed	confirm	VERB
m-1155	32	9	cases	case	NOUN
m-1155	32	10	are	be	AUX
m-1155	32	11	not	not	PART
m-1155	32	12	allowed	allow	VERB
m-1155	32	13	to	to	PART
m-1155	32	14	interact	interact	VERB
m-1155	32	15	with	with	ADP
m-1155	32	16	the	the	DET
m-1155	32	17	population	population	NOUN
m-1155	32	18	freely	freely	ADV
m-1155	32	19	.	.	PUNCT
m-1155	33	1	3	3	X
m-1155	33	2	.	.	X
m-1155	33	3	epidemiological	epidemiological	ADJ
m-1155	33	4	surveillance	surveillance	NOUN
m-1155	33	5	ensuring	ensure	VERB
m-1155	33	6	early	early	ADJ
m-1155	33	7	detection	detection	NOUN
m-1155	33	8	through	through	ADP
m-1155	33	9	contact	contact	NOUN
m-1155	33	10	tracing	trace	VERB
m-1155	33	11	is	be	AUX
m-1155	33	12	carried	carry	VERB
m-1155	33	13	out	out	ADP
m-1155	33	14	4	4	NUM
m-1155	33	15	.	.	PUNCT
m-1155	34	1	secondary	secondary	ADJ
m-1155	34	2	prevention	prevention	NOUN
m-1155	34	3	spread	spread	VERB
m-1155	34	4	by	by	ADP
m-1155	34	5	the	the	DET
m-1155	34	6	rapid	rapid	ADJ
m-1155	34	7	investigation	investigation	NOUN
m-1155	34	8	of	of	ADP
m-1155	34	9	close	close	ADJ
m-1155	34	10	contacts	contact	NOUN
m-1155	34	11	to	to	PART
m-1155	34	12	ensure	ensure	VERB
m-1155	34	13	prompt	prompt	ADJ
m-1155	34	14	treatment	treatment	NOUN
m-1155	34	15	of	of	ADP
m-1155	34	16	those	those	DET
m-1155	34	17	infected	infect	VERB
m-1155	34	18	ijo	ijo	PROPN
m-1155	34	19	journals	journal	NOUN
m-1155	34	20	volume	volume	NOUN
m-1155	34	21	08	08	NUM
m-1155	35	1	|	|	ADV
m-1155	35	2	issue	issue	NOUN
m-1155	35	3	09	09	NUM
m-1155	35	4	|	|	ADV
m-1155	35	5	september	september	PROPN
m-1155	35	6	2025	2025	NUM
m-1155	36	1	|	|	ADV
m-1155	36	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-1155	36	3	39	39	NUM
m-1155	36	4	ijo	ijo	PROPN
m-1155	36	5	international	international	ADJ
m-1155	36	6	journal	journal	PROPN
m-1155	36	7	of	of	ADP
m-1155	36	8	mathematics	mathematics	PROPN
m-1155	36	9	(	(	PUNCT
m-1155	36	10	issn	issn	PROPN
m-1155	36	11	:	:	PUNCT
m-1155	36	12	2992	2992	NUM
m-1155	36	13	-	-	SYM
m-1155	36	14	4421	4421	NUM
m-1155	36	15	)	)	PUNCT
m-1155	36	16	thomas	thomas	PROPN
m-1155	36	17	,	,	PUNCT
m-1155	36	18	henry	henry	PROPN
m-1155	36	19	sylvester	sylvester	PROPN
m-1155	36	20	*	*	PUNCT
m-1155	36	21	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-1155	36	22	volume	volume	NOUN
m-1155	36	23	08	08	NUM
m-1155	36	24	||	||	PROPN
m-1155	36	25	issue	issue	NOUN
m-1155	36	26	09	09	NUM
m-1155	36	27	||	||	NOUN
m-1155	36	28	september	september	PROPN
m-1155	36	29	,	,	PUNCT
m-1155	36	30	2025	2025	NUM
m-1155	36	31	||	||	PUNCT
m-1155	37	1	“	"	PUNCT
m-1155	37	2	caputo	caputo	PROPN
m-1155	37	3	-	-	PUNCT
m-1155	37	4	fabrizio	fabrizio	PROPN
m-1155	37	5	fractional	fractional	ADJ
m-1155	37	6	drivatives	drivative	NOUN
m-1155	37	7	of	of	ADP
m-1155	37	8	age	age	NOUN
m-1155	37	9	-	-	PUNCT
m-1155	37	10	structured	structure	VERB
m-1155	37	11	dipptheria	dipptheria	NOUN
m-1155	37	12	infection	infection	NOUN
m-1155	37	13	model	model	NOUN
m-1155	37	14	with	with	ADP
m-1155	37	15	laplace	laplace	NOUN
m-1155	37	16	adomian	adomian	NOUN
m-1155	37	17	decomposition	decomposition	NOUN
m-1155	37	18	analysis	analysis	NOUN
m-1155	37	19	"	"	PUNCT
m-1155	37	20	5	5	NUM
m-1155	37	21	.	.	PUNCT
m-1155	38	1	the	the	DET
m-1155	38	2	total	total	ADJ
m-1155	38	3	population	population	NOUN
m-1155	38	4	of	of	ADP
m-1155	38	5	human	human	NOUN
m-1155	38	6	at	at	ADP
m-1155	38	7	time	time	NOUN
m-1155	38	8	�	�	PROPN
m-1155	38	9	under	under	ADP
m-1155	38	10	consideration	consideration	NOUN
m-1155	38	11	denoted	denote	VERB
m-1155	38	12	by	by	ADP
m-1155	38	13	�	�	PROPN
m-1155	38	14	�	�	PROPN
m-1155	38	15	is	be	AUX
m-1155	38	16	split	split	VERB
m-1155	38	17	into	into	ADP
m-1155	38	18	mutually	mutually	ADV
m-1155	38	19	exclusive	exclusive	ADJ
m-1155	38	20	sub	sub	NOUN
m-1155	38	21	-	-	NOUN
m-1155	38	22	population	population	NOUN
m-1155	38	23	of	of	ADP
m-1155	38	24	�	�	PROPN
m-1155	38	25	�	�	PROPN
m-1155	38	26	susceptible	susceptible	ADJ
m-1155	38	27	infant	infant	NOUN
m-1155	38	28	at	at	ADP
m-1155	38	29	time	time	NOUN
m-1155	38	30	�	�	PROPN
m-1155	38	31	(	(	PUNCT
m-1155	38	32	0	0	NUM
m-1155	38	33	-	-	SYM
m-1155	38	34	1years	1years	NUM
m-1155	38	35	)	)	PUNCT
m-1155	38	36	,	,	PUNCT
m-1155	38	37	�	�	PROPN
m-1155	38	38	�	�	PROPN
m-1155	38	39	,	,	PUNCT
m-1155	38	40	susceptible	susceptible	ADJ
m-1155	38	41	school	school	NOUN
m-1155	38	42	children	child	NOUN
m-1155	38	43	population	population	NOUN
m-1155	38	44	at	at	ADP
m-1155	38	45	time	time	NOUN
m-1155	38	46	�	�	PROPN
m-1155	38	47	,	,	PUNCT
m-1155	38	48	�	�	PROPN
m-1155	38	49	,	,	PUNCT
m-1155	38	50	vaccination	vaccination	NOUN
m-1155	38	51	population	population	NOUN
m-1155	38	52	at	at	ADP
m-1155	38	53	time	time	NOUN
m-1155	38	54	�	�	PROPN
m-1155	38	55	,	,	PUNCT
m-1155	38	56	�	�	PROPN
m-1155	38	57	,	,	PUNCT
m-1155	38	58	exposed	expose	VERB
m-1155	38	59	population	population	NOUN
m-1155	38	60	at	at	ADP
m-1155	38	61	time	time	NOUN
m-1155	38	62	�	�	PROPN
m-1155	38	63	,	,	PUNCT
m-1155	38	64	�	�	PROPN
m-1155	38	65	�	�	PROPN
m-1155	38	66	,	,	PUNCT
m-1155	38	67	asymptomatic	asymptomatic	ADJ
m-1155	38	68	infection	infection	NOUN
m-1155	38	69	population	population	NOUN
m-1155	38	70	at	at	ADP
m-1155	38	71	time	time	NOUN
m-1155	38	72	�	�	PROPN
m-1155	38	73	,	,	PUNCT
m-1155	38	74	�	�	PROPN
m-1155	38	75	�	�	PROPN
m-1155	38	76	.	.	PROPN
m-1155	38	77	,	,	PUNCT
m-1155	38	78	symptomatic	symptomatic	ADJ
m-1155	38	79	infection	infection	NOUN
m-1155	38	80	population	population	NOUN
m-1155	38	81	at	at	ADP
m-1155	38	82	time	time	NOUN
m-1155	38	83	�	�	PROPN
m-1155	38	84	,	,	PUNCT
m-1155	38	85	�	�	PROPN
m-1155	38	86	.	.	PROPN
m-1155	38	87	,	,	PUNCT
m-1155	38	88	recovered	recover	VERB
m-1155	38	89	population	population	NOUN
m-1155	38	90	at	at	ADP
m-1155	38	91	time	time	NOUN
m-1155	38	92	�	�	PROPN
m-1155	38	93	.	.	PROPN
m-1155	38	94	�	�	PROPN
m-1155	38	95	�	�	PROPN
m-1155	38	96	.	.	PROPN
m-1155	38	97	,	,	PUNCT
m-1155	38	98	detected	detect	VERB
m-1155	38	99	infectious	infectious	ADJ
m-1155	38	100	humans	human	NOUN
m-1155	38	101	at	at	ADP
m-1155	38	102	time	time	NOUN
m-1155	38	103	�	�	PROPN
m-1155	38	104	(	(	PUNCT
m-1155	38	105	asymptomatic	asymptomatic	ADJ
m-1155	38	106	and	and	CCONJ
m-1155	38	107	symptomatic	symptomatic	ADJ
m-1155	38	108	)	)	PUNCT
m-1155	38	109	population	population	NOUN
m-1155	38	110	through	through	ADP
m-1155	38	111	testing	testing	NOUN
m-1155	38	112	,	,	PUNCT
m-1155	38	113	�	�	PROPN
m-1155	38	114	�	�	PROPN
m-1155	38	115	=	=	SYM
m-1155	38	116	�	�	PROPN
m-1155	38	117	�	�	PROPN
m-1155	38	118	+	+	CCONJ
m-1155	38	119	�	�	PROPN
m-1155	38	120	�	�	PROPN
m-1155	38	121	+	+	CCONJ
m-1155	38	122	�	�	PROPN
m-1155	38	123	+	+	CCONJ
m-1155	38	124	�	�	PROPN
m-1155	38	125	+	+	SYM
m-1155	38	126	�	�	PROPN
m-1155	38	127	�	�	PROPN
m-1155	38	128	+	+	SYM
m-1155	38	129	�	�	PROPN
m-1155	38	130	�	�	PROPN
m-1155	38	131	+	+	CCONJ
m-1155	38	132	�	�	PROPN
m-1155	38	133	+	+	SYM
m-1155	38	134	�	�	PROPN
m-1155	38	135	�	�	PROPN
m-1155	38	136	2.2	2.2	NUM
m-1155	38	137	state	state	NOUN
m-1155	38	138	variables	variable	NOUN
m-1155	38	139	�	�	PROPN
m-1155	38	140	�	�	PROPN
m-1155	38	141	−the	−the	PRON
m-1155	38	142	total	total	ADJ
m-1155	38	143	population	population	NOUN
m-1155	38	144	of	of	ADP
m-1155	38	145	human	human	NOUN
m-1155	38	146	at	at	ADP
m-1155	38	147	time	time	NOUN
m-1155	38	148	�	�	PROPN
m-1155	38	149	under	under	ADP
m-1155	38	150	consideration	consideration	NOUN
m-1155	38	151	�	�	PROPN
m-1155	38	152	�	�	PROPN
m-1155	38	153	−	−	PROPN
m-1155	38	154	susceptible	susceptible	ADJ
m-1155	38	155	infantat	infantat	ADJ
m-1155	38	156	time	time	NOUN
m-1155	38	157	�	�	PROPN
m-1155	38	158	(	(	PUNCT
m-1155	38	159	0	0	NUM
m-1155	38	160	-	-	SYM
m-1155	38	161	1years	1years	NUM
m-1155	38	162	)	)	PUNCT
m-1155	38	163	,	,	PUNCT
m-1155	38	164	�	�	PROPN
m-1155	38	165	�	�	PROPN
m-1155	38	166	−	−	PROPN
m-1155	38	167	susceptible	susceptible	ADJ
m-1155	38	168	school	school	NOUN
m-1155	38	169	children	child	NOUN
m-1155	38	170	populationat	populationat	VERB
m-1155	38	171	time	time	PROPN
m-1155	38	172	�	�	PROPN
m-1155	38	173	,	,	PUNCT
m-1155	38	174	�	�	PROPN
m-1155	38	175	−vaccination	−vaccination	PROPN
m-1155	38	176	populationat	populationat	NOUN
m-1155	38	177	time	time	PROPN
m-1155	38	178	�	�	PROPN
m-1155	38	179	,	,	PUNCT
m-1155	38	180	�	�	PROPN
m-1155	38	181	−	−	PROPN
m-1155	38	182	exposed	expose	VERB
m-1155	38	183	populationat	populationat	NOUN
m-1155	38	184	time	time	NOUN
m-1155	38	185	,	,	PUNCT
m-1155	38	186	�	�	PROPN
m-1155	38	187	�	�	PROPN
m-1155	38	188	.	.	PUNCT
m-1155	39	1	−	−	PROPN
m-1155	39	2	asymptomatic	asymptomatic	ADJ
m-1155	39	3	infection	infection	NOUN
m-1155	39	4	populationat	populationat	PROPN
m-1155	39	5	time	time	PROPN
m-1155	39	6	�	�	PROPN
m-1155	39	7	,	,	PUNCT
m-1155	39	8	�	�	PROPN
m-1155	39	9	�	�	PROPN
m-1155	39	10	.	.	PUNCT
m-1155	40	1	−	−	PROPN
m-1155	40	2	symptomatic	symptomatic	ADJ
m-1155	40	3	infection	infection	NOUN
m-1155	40	4	populationat	populationat	NOUN
m-1155	40	5	time	time	PROPN
m-1155	40	6	�	�	PROPN
m-1155	40	7	,	,	PUNCT
m-1155	40	8	�	�	PROPN
m-1155	40	9	−recovered	−recovere	VERB
m-1155	40	10	populationat	populationat	PROPN
m-1155	40	11	time	time	PROPN
m-1155	40	12	�	�	PROPN
m-1155	40	13	.	.	PROPN
m-1155	40	14	�	�	PROPN
m-1155	40	15	�	�	PROPN
m-1155	40	16	.	.	PUNCT
m-1155	41	1	−	−	PROPN
m-1155	41	2	detected	detect	VERB
m-1155	41	3	infectious	infectious	ADJ
m-1155	41	4	humansat	humansat	NOUN
m-1155	41	5	time	time	NOUN
m-1155	41	6	�	�	PROPN
m-1155	41	7	(	(	PUNCT
m-1155	41	8	asymptomatic	asymptomatic	ADJ
m-1155	41	9	and	and	CCONJ
m-1155	41	10	symptomatic	symptomatic	ADJ
m-1155	41	11	)	)	PUNCT
m-1155	41	12	population	population	NOUN
m-1155	41	13	through	through	ADP
m-1155	41	14	testing	testing	NOUN
m-1155	41	15	,	,	PUNCT
m-1155	41	16	2.3	2.3	NUM
m-1155	41	17	parameters	parameter	NOUN
m-1155	41	18	�	�	PROPN
m-1155	41	19	�	�	PROPN
m-1155	41	20	−	−	PROPN
m-1155	41	21	�	�	PROPN
m-1155	41	22	�	�	PROPN
m-1155	41	23	�	�	PROPN
m-1155	41	24	�	�	PROPN
m-1155	41	25	�	�	PROPN
m-1155	41	26	�	�	PROPN
m-1155	41	27	�	�	PROPN
m-1155	41	28	�	�	PROPN
m-1155	41	29	�	�	PROPN
m-1155	41	30	�	�	PROPN
m-1155	41	31	�	�	PROPN
m-1155	41	32	�	�	PROPN
m-1155	41	33	�	�	PROPN
m-1155	41	34	�	�	PROPN
m-1155	41	35	�	�	PROPN
m-1155	41	36	�	�	PROPN
m-1155	41	37	�	�	PROPN
m-1155	41	38	�	�	PROPN
m-1155	41	39	�	�	PROPN
m-1155	41	40	�	�	PROPN
m-1155	41	41	�	�	PROPN
m-1155	41	42	�	�	PROPN
m-1155	41	43	�	�	PROPN
m-1155	41	44	�	�	PROPN
m-1155	41	45	�	�	PROPN
m-1155	41	46	�	�	PROPN
m-1155	41	47	�	�	PROPN
m-1155	41	48	,	,	PUNCT
m-1155	41	49	asymptomatic	asymptomatic	ADJ
m-1155	41	50	infection	infection	NOUN
m-1155	41	51	population	population	NOUN
m-1155	41	52	�	�	PROPN
m-1155	41	53	�	�	PROPN
m-1155	41	54	−	−	PROPN
m-1155	41	55	�	�	PROPN
m-1155	41	56	�	�	PROPN
m-1155	41	57	�	�	PROPN
m-1155	41	58	�	�	PROPN
m-1155	41	59	�	�	PROPN
m-1155	41	60	�	�	PROPN
m-1155	41	61	�	�	PROPN
m-1155	41	62	�	�	PROPN
m-1155	41	63	�	�	PROPN
m-1155	41	64	�	�	PROPN
m-1155	41	65	�	�	PROPN
m-1155	41	66	�	�	PROPN
m-1155	41	67	�	�	PROPN
m-1155	41	68	�	�	PROPN
m-1155	41	69	�	�	PROPN
m-1155	41	70	�	�	PROPN
m-1155	41	71	�	�	PROPN
m-1155	41	72	�	�	PROPN
m-1155	41	73	�	�	PROPN
m-1155	41	74	�	�	PROPN
m-1155	41	75	�	�	PROPN
m-1155	41	76	�	�	PROPN
m-1155	41	77	�	�	PROPN
m-1155	41	78	�	�	PROPN
m-1155	41	79	�	�	PROPN
m-1155	41	80	�	�	PROPN
m-1155	41	81	�	�	PROPN
m-1155	41	82	�	�	PROPN
m-1155	41	83	,	,	PUNCT
m-1155	41	84	symptomatic	symptomatic	ADJ
m-1155	41	85	infection	infection	NOUN
m-1155	41	86	population	population	NOUN
m-1155	41	87	�	�	PROPN
m-1155	41	88	−	−	PROPN
m-1155	41	89	�	�	PROPN
m-1155	41	90	�	�	PROPN
m-1155	41	91	�	�	PROPN
m-1155	41	92	�	�	PROPN
m-1155	41	93	�	�	PROPN
m-1155	41	94	�	�	PROPN
m-1155	41	95	�	�	PROPN
m-1155	41	96	�	�	PROPN
m-1155	41	97	�	�	PROPN
m-1155	41	98	�	�	PROPN
m-1155	41	99	�	�	PROPN
m-1155	41	100	�	�	PROPN
m-1155	41	101	�	�	PROPN
m-1155	41	102	�	�	PROPN
m-1155	41	103	�	�	PROPN
m-1155	41	104	�	�	PROPN
m-1155	41	105	�	�	PROPN
m-1155	41	106	�	�	PROPN
m-1155	41	107	�	�	PROPN
m-1155	41	108	�	�	PROPN
m-1155	41	109	�	�	PROPN
m-1155	41	110	�	�	PROPN
m-1155	41	111	�	�	PROPN
m-1155	41	112	ℎ	ℎ	PROPN
m-1155	41	113	�	�	PROPN
m-1155	41	114	�	�	PROPN
m-1155	41	115	�	�	PROPN
m-1155	41	116	�	�	PROPN
m-1155	41	117	�	�	PROPN
m-1155	41	118	�	�	PROPN
m-1155	41	119	�	�	PROPN
m-1155	41	120	,	,	PUNCT
m-1155	41	121	asymptomatic	asymptomatic	ADJ
m-1155	41	122	1	1	NUM
m-1155	41	123	−	−	PROPN
m-1155	41	124	�	�	PROPN
m-1155	41	125	−	−	PROPN
m-1155	41	126	�	�	PROPN
m-1155	41	127	�	�	PROPN
m-1155	41	128	�	�	PROPN
m-1155	41	129	�	�	PROPN
m-1155	41	130	�	�	PROPN
m-1155	41	131	�	�	PROPN
m-1155	41	132	�	�	PROPN
m-1155	41	133	�	�	PROPN
m-1155	41	134	�	�	PROPN
m-1155	41	135	�	�	PROPN
m-1155	41	136	�	�	PROPN
m-1155	41	137	�	�	PROPN
m-1155	41	138	�	�	PROPN
m-1155	41	139	�	�	PROPN
m-1155	41	140	�	�	PROPN
m-1155	41	141	�	�	PROPN
m-1155	41	142	�	�	PROPN
m-1155	41	143	�	�	PROPN
m-1155	41	144	�	�	PROPN
m-1155	41	145	�	�	PROPN
m-1155	41	146	�	�	PROPN
m-1155	41	147	�	�	PROPN
m-1155	41	148	�	�	PROPN
m-1155	41	149	ℎ	ℎ	PROPN
m-1155	41	150	�	�	PROPN
m-1155	41	151	�	�	PROPN
m-1155	41	152	�	�	PROPN
m-1155	41	153	�	�	PROPN
m-1155	41	154	�	�	PROPN
m-1155	41	155	�	�	PROPN
m-1155	41	156	�	�	PROPN
m-1155	41	157	,	,	PUNCT
m-1155	41	158	symptomatic	symptomatic	ADJ
m-1155	41	159	ijo	ijo	PROPN
m-1155	41	160	journals	journal	NOUN
m-1155	41	161	volume	volume	NOUN
m-1155	41	162	08	08	NUM
m-1155	42	1	|	|	ADV
m-1155	42	2	issue	issue	NOUN
m-1155	42	3	09	09	NUM
m-1155	42	4	|	|	ADV
m-1155	42	5	september	september	PROPN
m-1155	42	6	2025	2025	NUM
m-1155	43	1	|	|	ADV
m-1155	43	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-1155	43	3	40	40	NUM
m-1155	43	4	ijo	ijo	PROPN
m-1155	43	5	international	international	ADJ
m-1155	43	6	journal	journal	PROPN
m-1155	43	7	of	of	ADP
m-1155	43	8	mathematics	mathematics	PROPN
m-1155	43	9	(	(	PUNCT
m-1155	43	10	issn	issn	PROPN
m-1155	43	11	:	:	PUNCT
m-1155	43	12	2992	2992	NUM
m-1155	43	13	-	-	SYM
m-1155	43	14	4421	4421	NUM
m-1155	43	15	)	)	PUNCT
m-1155	43	16	thomas	thomas	PROPN
m-1155	43	17	,	,	PUNCT
m-1155	43	18	henry	henry	PROPN
m-1155	43	19	sylvester	sylvester	PROPN
m-1155	43	20	*	*	PUNCT
m-1155	43	21	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-1155	43	22	volume	volume	NOUN
m-1155	43	23	08	08	NUM
m-1155	43	24	||	||	PROPN
m-1155	43	25	issue	issue	NOUN
m-1155	43	26	09	09	NUM
m-1155	43	27	||	||	NOUN
m-1155	43	28	september	september	PROPN
m-1155	43	29	,	,	PUNCT
m-1155	43	30	2025	2025	NUM
m-1155	43	31	||	||	PUNCT
m-1155	44	1	“	"	PUNCT
m-1155	44	2	caputo	caputo	PROPN
m-1155	44	3	-	-	PUNCT
m-1155	44	4	fabrizio	fabrizio	PROPN
m-1155	44	5	fractional	fractional	ADJ
m-1155	44	6	drivatives	drivative	NOUN
m-1155	44	7	of	of	ADP
m-1155	44	8	age	age	NOUN
m-1155	44	9	-	-	PUNCT
m-1155	44	10	structured	structure	VERB
m-1155	44	11	dipptheria	dipptheria	NOUN
m-1155	44	12	infection	infection	NOUN
m-1155	44	13	model	model	NOUN
m-1155	44	14	with	with	ADP
m-1155	44	15	laplace	laplace	NOUN
m-1155	44	16	adomian	adomian	NOUN
m-1155	44	17	decomposition	decomposition	NOUN
m-1155	44	18	analysis	analysis	NOUN
m-1155	44	19	"	"	PUNCT
m-1155	44	20	�	�	PROPN
m-1155	44	21	�	�	PROPN
m-1155	44	22	−	−	PROPN
m-1155	44	23	�	�	PROPN
m-1155	44	24	�	�	PROPN
m-1155	44	25	�	�	PROPN
m-1155	44	26	�	�	PROPN
m-1155	44	27	�	�	PROPN
m-1155	44	28	�	�	PROPN
m-1155	44	29	�	�	PROPN
m-1155	44	30	�	�	PROPN
m-1155	44	31	�	�	PROPN
m-1155	44	32	�	�	PROPN
m-1155	44	33	�	�	PROPN
m-1155	44	34	�	�	PROPN
m-1155	44	35	�	�	PROPN
m-1155	44	36	�	�	PROPN
m-1155	44	37	�	�	PROPN
m-1155	44	38	�	�	PROPN
m-1155	44	39	�	�	PROPN
m-1155	44	40	�	�	PROPN
m-1155	44	41	�	�	PROPN
m-1155	44	42	�	�	PROPN
m-1155	44	43	�	�	PROPN
m-1155	44	44	�	�	PROPN
m-1155	44	45	�	�	PROPN
m-1155	44	46	�	�	PROPN
m-1155	44	47	�	�	PROPN
m-1155	44	48	�	�	PROPN
m-1155	44	49	�	�	PROPN
m-1155	44	50	�	�	PROPN
m-1155	44	51	�	�	PROPN
m-1155	44	52	�	�	PROPN
m-1155	44	53	�	�	PROPN
m-1155	44	54	�	�	PROPN
m-1155	44	55	�	�	PROPN
m-1155	44	56	−	−	PROPN
m-1155	44	57	�	�	PROPN
m-1155	44	58	�	�	PROPN
m-1155	44	59	�	�	PROPN
m-1155	44	60	�	�	PROPN
m-1155	44	61	�	�	PROPN
m-1155	44	62	�	�	PROPN
m-1155	44	63	�	�	PROPN
m-1155	44	64	�	�	PROPN
m-1155	44	65	�	�	PROPN
m-1155	44	66	�	�	PROPN
m-1155	44	67	�	�	PROPN
m-1155	44	68	�	�	PROPN
m-1155	44	69	�	�	PROPN
m-1155	44	70	�	�	PROPN
m-1155	44	71	�	�	PROPN
m-1155	44	72	�	�	PROPN
m-1155	44	73	�	�	PROPN
m-1155	44	74	�	�	PROPN
m-1155	44	75	�	�	PROPN
m-1155	44	76	�	�	PROPN
m-1155	44	77	�	�	PROPN
m-1155	44	78	�	�	PROPN
m-1155	44	79	�	�	PROPN
m-1155	44	80	�	�	PROPN
m-1155	44	81	�	�	PROPN
m-1155	44	82	�	�	PROPN
m-1155	44	83	�	�	PROPN
m-1155	44	84	�	�	PROPN
m-1155	44	85	�	�	PROPN
m-1155	44	86	�	�	PROPN
m-1155	44	87	�	�	PROPN
m-1155	44	88	�	�	PROPN
m-1155	44	89	�	�	PROPN
m-1155	44	90	−	−	PROPN
m-1155	44	91	�	�	PROPN
m-1155	44	92	�	�	PROPN
m-1155	44	93	�	�	PROPN
m-1155	44	94	�	�	PROPN
m-1155	44	95	�	�	PROPN
m-1155	44	96	�	�	PROPN
m-1155	44	97	�	�	PROPN
m-1155	44	98	�	�	PROPN
m-1155	44	99	�	�	PROPN
m-1155	44	100	�	�	PROPN
m-1155	44	101	�	�	PROPN
m-1155	44	102	�	�	PROPN
m-1155	44	103	�	�	PROPN
m-1155	44	104	�	�	PROPN
m-1155	44	105	�	�	PROPN
m-1155	44	106	�	�	PROPN
m-1155	44	107	�	�	PROPN
m-1155	44	108	�	�	PROPN
m-1155	44	109	�	�	PROPN
m-1155	44	110	�	�	PROPN
m-1155	44	111	�	�	PROPN
m-1155	44	112	�	�	PROPN
m-1155	44	113	�	�	PROPN
m-1155	44	114	�	�	PROPN
m-1155	44	115	�	�	PROPN
m-1155	44	116	�	�	PROPN
m-1155	44	117	−	−	PROPN
m-1155	44	118	�	�	PROPN
m-1155	44	119	�	�	PROPN
m-1155	44	120	�	�	PROPN
m-1155	44	121	�	�	PROPN
m-1155	44	122	�	�	PROPN
m-1155	44	123	�	�	PROPN
m-1155	44	124	�	�	PROPN
m-1155	44	125	�	�	PROPN
m-1155	44	126	�	�	PROPN
m-1155	44	127	�	�	PROPN
m-1155	44	128	�	�	PROPN
m-1155	44	129	�	�	PROPN
m-1155	44	130	�	�	PROPN
m-1155	44	131	�	�	PROPN
m-1155	44	132	�	�	PROPN
m-1155	44	133	�	�	PROPN
m-1155	44	134	�	�	PROPN
m-1155	44	135	�	�	PROPN
m-1155	44	136	�	�	PROPN
m-1155	44	137	�	�	PROPN
m-1155	44	138	�	�	PROPN
m-1155	44	139	�	�	PROPN
m-1155	44	140	�	�	PROPN
m-1155	44	141	�	�	PROPN
m-1155	44	142	�	�	PROPN
m-1155	44	143	−	−	PROPN
m-1155	44	144	�	�	PROPN
m-1155	44	145	�	�	PROPN
m-1155	44	146	�	�	PROPN
m-1155	44	147	�	�	PROPN
m-1155	44	148	�	�	PROPN
m-1155	44	149	�	�	PROPN
m-1155	44	150	�	�	PROPN
m-1155	44	151	�	�	PROPN
m-1155	44	152	�	�	PROPN
m-1155	44	153	�	�	PROPN
m-1155	44	154	�	�	PROPN
m-1155	44	155	�	�	PROPN
m-1155	44	156	�	�	PROPN
m-1155	44	157	�	�	PROPN
m-1155	44	158	�	�	PROPN
m-1155	44	159	�	�	PROPN
m-1155	44	160	−	−	PROPN
m-1155	44	161	�	�	PROPN
m-1155	44	162	�	�	PROPN
m-1155	44	163	�	�	PROPN
m-1155	44	164	�	�	PROPN
m-1155	44	165	�	�	PROPN
m-1155	44	166	�	�	PROPN
m-1155	44	167	�	�	PROPN
m-1155	44	168	�	�	PROPN
m-1155	44	169	�	�	PROPN
m-1155	44	170	�	�	PROPN
m-1155	44	171	�	�	PROPN
m-1155	44	172	�	�	PROPN
m-1155	44	173	�	�	PROPN
m-1155	44	174	�	�	PROPN
m-1155	44	175	�	�	PROPN
m-1155	44	176	�	�	PROPN
m-1155	44	177	�	�	PROPN
m-1155	44	178	�	�	PROPN
m-1155	44	179	�	�	PROPN
m-1155	44	180	�	�	PROPN
m-1155	44	181	�	�	PROPN
m-1155	44	182	�	�	PROPN
m-1155	44	183	�	�	PROPN
m-1155	44	184	−	−	PROPN
m-1155	44	185	�	�	PROPN
m-1155	44	186	�	�	PROPN
m-1155	44	187	�	�	PROPN
m-1155	44	188	�	�	PROPN
m-1155	44	189	�	�	PROPN
m-1155	44	190	�	�	PROPN
m-1155	44	191	�	�	PROPN
m-1155	44	192	�	�	PROPN
m-1155	44	193	�	�	PROPN
m-1155	44	194	�	�	PROPN
m-1155	44	195	�	�	PROPN
m-1155	44	196	�	�	PROPN
m-1155	44	197	�	�	PROPN
m-1155	44	198	ℎ	ℎ	PROPN
m-1155	44	199	�	�	PROPN
m-1155	44	200	�	�	PROPN
m-1155	44	201	�	�	PROPN
m-1155	44	202	�	�	PROPN
m-1155	44	203	�	�	PROPN
m-1155	44	204	�	�	PROPN
m-1155	44	205	ℎ	ℎ	PROPN
m-1155	44	206	�	�	PROPN
m-1155	44	207	�	�	PROPN
m-1155	44	208	�	�	PROPN
m-1155	44	209	�	�	PROPN
m-1155	44	210	�	�	PROPN
m-1155	44	211	�	�	PROPN
m-1155	44	212	�	�	PROPN
m-1155	44	213	�	�	PROPN
m-1155	44	214	−	−	PROPN
m-1155	44	215	�	�	PROPN
m-1155	44	216	�	�	PROPN
m-1155	44	217	�	�	PROPN
m-1155	44	218	�	�	PROPN
m-1155	44	219	�	�	PROPN
m-1155	44	220	�	�	PROPN
m-1155	44	221	�	�	PROPN
m-1155	44	222	�	�	PROPN
m-1155	44	223	�	�	PROPN
m-1155	44	224	�	�	PROPN
m-1155	44	225	�	�	PROPN
m-1155	44	226	�	�	PROPN
m-1155	44	227	�	�	PROPN
m-1155	44	228	�	�	PROPN
m-1155	44	229	�	�	PROPN
m-1155	44	230	�	�	PROPN
m-1155	44	231	�	�	PROPN
m-1155	44	232	�	�	PROPN
m-1155	44	233	�	�	PROPN
m-1155	44	234	�	�	PROPN
m-1155	44	235	�	�	PROPN
m-1155	44	236	�	�	PROPN
m-1155	44	237	�	�	PROPN
m-1155	44	238	−	−	PROPN
m-1155	44	239	�	�	PROPN
m-1155	44	240	�	�	PROPN
m-1155	44	241	�	�	PROPN
m-1155	44	242	�	�	PROPN
m-1155	44	243	�	�	PROPN
m-1155	44	244	�	�	PROPN
m-1155	44	245	�	�	PROPN
m-1155	44	246	�	�	PROPN
m-1155	44	247	�	�	PROPN
m-1155	44	248	�	�	PROPN
m-1155	44	249	�	�	PROPN
m-1155	44	250	�	�	PROPN
m-1155	44	251	�	�	PROPN
m-1155	44	252	�	�	PROPN
m-1155	44	253	�	�	PROPN
m-1155	44	254	�	�	PROPN
m-1155	44	255	�	�	PROPN
m-1155	44	256	�	�	PROPN
m-1155	44	257	�	�	PROPN
m-1155	44	258	�	�	PROPN
m-1155	44	259	�	�	PROPN
m-1155	44	260	−	−	PROPN
m-1155	44	261	�	�	PROPN
m-1155	44	262	�	�	PROPN
m-1155	44	263	�	�	PROPN
m-1155	44	264	�	�	PROPN
m-1155	44	265	�	�	PROPN
m-1155	44	266	�	�	PROPN
m-1155	44	267	�	�	PROPN
m-1155	44	268	�	�	PROPN
m-1155	44	269	�	�	PROPN
m-1155	44	270	�	�	PROPN
m-1155	44	271	�	�	PROPN
m-1155	44	272	�	�	PROPN
m-1155	44	273	�	�	PROPN
m-1155	44	274	�	�	PROPN
m-1155	44	275	�	�	PROPN
m-1155	44	276	�	�	PROPN
m-1155	44	277	�	�	PROPN
m-1155	44	278	�	�	PROPN
m-1155	44	279	�	�	PROPN
m-1155	44	280	−	−	PROPN
m-1155	44	281	�	�	PROPN
m-1155	44	282	�	�	PROPN
m-1155	44	283	�	�	PROPN
m-1155	44	284	�	�	PROPN
m-1155	44	285	�	�	PROPN
m-1155	44	286	�	�	PROPN
m-1155	44	287	�	�	PROPN
m-1155	44	288	�	�	PROPN
m-1155	44	289	�	�	PROPN
m-1155	44	290	�	�	PROPN
m-1155	44	291	�	�	PROPN
m-1155	44	292	�	�	PROPN
m-1155	44	293	�	�	PROPN
m-1155	44	294	(	(	PUNCT
m-1155	44	295	�	�	PROPN
m-1155	44	296	�	�	PROPN
m-1155	44	297	�	�	PROPN
m-1155	44	298	�	�	PROPN
m-1155	44	299	�	�	PROPN
m-1155	44	300	�	�	PROPN
m-1155	44	301	�	�	PROPN
m-1155	44	302	�	�	PROPN
m-1155	44	303	�	�	PROPN
m-1155	44	304	�	�	PROPN
m-1155	44	305	�	�	PROPN
m-1155	44	306	�	�	PROPN
m-1155	44	307	�	�	PROPN
m-1155	44	308	�	�	PROPN
m-1155	44	309	�	�	PROPN
m-1155	44	310	�	�	PROPN
m-1155	44	311	�	�	PROPN
m-1155	44	312	)	)	PUNCT
m-1155	44	313	�	�	PROPN
m-1155	44	314	�	�	PROPN
m-1155	44	315	�	�	PROPN
m-1155	44	316	�	�	PROPN
m-1155	44	317	�	�	PROPN
m-1155	44	318	�	�	PROPN
m-1155	44	319	�	�	PROPN
m-1155	44	320	−	−	PROPN
m-1155	44	321	�	�	PROPN
m-1155	44	322	�	�	PROPN
m-1155	44	323	�	�	PROPN
m-1155	44	324	�	�	PROPN
m-1155	44	325	�	�	PROPN
m-1155	44	326	�	�	PROPN
m-1155	44	327	�	�	PROPN
m-1155	44	328	�	�	PROPN
m-1155	44	329	�	�	PROPN
m-1155	44	330	�	�	PROPN
m-1155	44	331	�	�	PROPN
m-1155	44	332	�	�	PROPN
m-1155	44	333	�	�	PROPN
m-1155	44	334	(	(	PUNCT
m-1155	44	335	�	�	PROPN
m-1155	44	336	�	�	PROPN
m-1155	44	337	�	�	PROPN
m-1155	44	338	�	�	PROPN
m-1155	44	339	�	�	PROPN
m-1155	44	340	�	�	PROPN
m-1155	44	341	�	�	PROPN
m-1155	44	342	�	�	PROPN
m-1155	44	343	�	�	PROPN
m-1155	44	344	�	�	PROPN
m-1155	44	345	�	�	PROPN
m-1155	44	346	�	�	PROPN
m-1155	44	347	�	�	PROPN
m-1155	44	348	�	�	PROPN
m-1155	44	349	�	�	PROPN
m-1155	44	350	�	�	PROPN
m-1155	44	351	�	�	PROPN
m-1155	44	352	)	)	PUNCT
m-1155	44	353	�	�	PROPN
m-1155	44	354	�	�	PROPN
m-1155	44	355	�	�	PROPN
m-1155	44	356	�	�	PROPN
m-1155	44	357	�	�	PROPN
m-1155	44	358	�	�	PROPN
m-1155	44	359	−	−	PROPN
m-1155	44	360	�	�	PROPN
m-1155	44	361	�	�	PROPN
m-1155	44	362	�	�	PROPN
m-1155	44	363	�	�	PROPN
m-1155	44	364	ℎ	ℎ	PROPN
m-1155	44	365	�	�	PROPN
m-1155	44	366	�	�	PROPN
m-1155	44	367	�	�	PROPN
m-1155	44	368	�	�	PROPN
m-1155	44	369	�	�	PROPN
m-1155	44	370	�	�	PROPN
m-1155	44	371	�	�	PROPN
m-1155	44	372	�	�	PROPN
m-1155	44	373	�	�	PROPN
m-1155	44	374	�	�	PROPN
m-1155	44	375	�	�	PROPN
m-1155	44	376	�	�	PROPN
m-1155	44	377	�	�	PROPN
m-1155	44	378	�	�	PROPN
m-1155	44	379	�	�	PROPN
m-1155	44	380	−	−	PROPN
m-1155	44	381	�	�	PROPN
m-1155	44	382	�	�	PROPN
m-1155	44	383	�	�	PROPN
m-1155	44	384	�	�	PROPN
m-1155	44	385	�	�	PROPN
m-1155	44	386	�	�	PROPN
m-1155	44	387	�	�	PROPN
m-1155	44	388	�	�	PROPN
m-1155	44	389	�	�	PROPN
m-1155	44	390	�	�	PROPN
m-1155	44	391	�	�	PROPN
m-1155	44	392	ℎ	ℎ	PROPN
m-1155	44	393	�	�	PROPN
m-1155	44	394	�	�	PROPN
m-1155	44	395	�	�	PROPN
m-1155	44	396	�	�	PROPN
m-1155	44	397	�	�	PROPN
m-1155	44	398	�	�	PROPN
m-1155	44	399	(	(	PUNCT
m-1155	44	400	�	�	PROPN
m-1155	44	401	)	)	PUNCT
m-1155	44	402	=	=	SYM
m-1155	44	403	�	�	PROPN
m-1155	44	404	�	�	PROPN
m-1155	44	405	(	(	PUNCT
m-1155	44	406	�	�	PROPN
m-1155	44	407	�	�	PROPN
m-1155	44	408	�	�	PROPN
m-1155	44	409	�	�	PROPN
m-1155	44	410	+	+	SYM
m-1155	44	411	�	�	PROPN
m-1155	44	412	�	�	PROPN
m-1155	44	413	�	�	PROPN
m-1155	44	414	�	�	PROPN
m-1155	44	415	)	)	PUNCT
m-1155	44	416	�	�	PROPN
m-1155	44	417	�	�	PROPN
m-1155	44	418	−	−	PROPN
m-1155	44	419	�	�	PROPN
m-1155	44	420	�	�	PROPN
m-1155	44	421	�	�	PROPN
m-1155	44	422	�	�	PROPN
m-1155	44	423	(	(	PUNCT
m-1155	44	424	�	�	PROPN
m-1155	44	425	)	)	PUNCT
m-1155	44	426	=	=	SYM
m-1155	44	427	�	�	PROPN
m-1155	44	428	�	�	PROPN
m-1155	44	429	(	(	PUNCT
m-1155	44	430	�	�	PROPN
m-1155	44	431	�	�	PROPN
m-1155	44	432	�	�	PROPN
m-1155	44	433	�	�	PROPN
m-1155	44	434	+	+	SYM
m-1155	44	435	�	�	PROPN
m-1155	44	436	�	�	PROPN
m-1155	44	437	�	�	PROPN
m-1155	44	438	�	�	PROPN
m-1155	44	439	)	)	PUNCT
m-1155	44	440	�	�	PROPN
m-1155	44	441	�	�	PROPN
m-1155	44	442	−	−	PROPN
m-1155	44	443	�	�	PROPN
m-1155	44	444	�	�	PROPN
m-1155	44	445	2.4	2.4	NUM
m-1155	44	446	model	model	NOUN
m-1155	44	447	equations	equation	NOUN
m-1155	44	448	ijo	ijo	PROPN
m-1155	44	449	journals	journal	NOUN
m-1155	44	450	volume	volume	NOUN
m-1155	44	451	08	08	NUM
m-1155	44	452	|	|	ADV
m-1155	44	453	issue	issue	NOUN
m-1155	44	454	09	09	NUM
m-1155	45	1	|	|	ADV
m-1155	45	2	september	september	PROPN
m-1155	45	3	2025	2025	NUM
m-1155	46	1	|	|	ADV
m-1155	46	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-1155	46	3	41	41	NUM
m-1155	46	4	ijo	ijo	PROPN
m-1155	46	5	international	international	ADJ
m-1155	46	6	journal	journal	PROPN
m-1155	46	7	of	of	ADP
m-1155	46	8	mathematics	mathematics	PROPN
m-1155	46	9	(	(	PUNCT
m-1155	46	10	issn	issn	PROPN
m-1155	46	11	:	:	PUNCT
m-1155	46	12	2992	2992	NUM
m-1155	46	13	-	-	SYM
m-1155	46	14	4421	4421	NUM
m-1155	46	15	)	)	PUNCT
m-1155	46	16	thomas	thomas	PROPN
m-1155	46	17	,	,	PUNCT
m-1155	46	18	henry	henry	PROPN
m-1155	46	19	sylvester	sylvester	PROPN
m-1155	46	20	*	*	PUNCT
m-1155	46	21	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-1155	46	22	volume	volume	NOUN
m-1155	46	23	08	08	NUM
m-1155	46	24	||	||	PROPN
m-1155	46	25	issue	issue	NOUN
m-1155	46	26	09	09	NUM
m-1155	46	27	||	||	NOUN
m-1155	46	28	september	september	PROPN
m-1155	46	29	,	,	PUNCT
m-1155	46	30	2025	2025	NUM
m-1155	46	31	||	||	PUNCT
m-1155	47	1	“	"	PUNCT
m-1155	47	2	caputo	caputo	PROPN
m-1155	47	3	-	-	PUNCT
m-1155	47	4	fabrizio	fabrizio	PROPN
m-1155	47	5	fractional	fractional	ADJ
m-1155	47	6	drivatives	drivative	NOUN
m-1155	47	7	of	of	ADP
m-1155	47	8	age	age	NOUN
m-1155	47	9	-	-	PUNCT
m-1155	47	10	structured	structure	VERB
m-1155	47	11	dipptheria	dipptheria	NOUN
m-1155	47	12	infection	infection	NOUN
m-1155	47	13	model	model	NOUN
m-1155	47	14	with	with	ADP
m-1155	47	15	laplace	laplace	NOUN
m-1155	47	16	adomian	adomian	NOUN
m-1155	47	17	decomposition	decomposition	NOUN
m-1155	47	18	analysis	analysis	NOUN
m-1155	47	19	"	"	PUNCT
m-1155	47	20	using	use	VERB
m-1155	47	21	the	the	DET
m-1155	47	22	above	above	ADJ
m-1155	47	23	described	describe	VERB
m-1155	47	24	state	state	NOUN
m-1155	47	25	variables	variable	NOUN
m-1155	47	26	and	and	CCONJ
m-1155	47	27	parameters	parameter	NOUN
m-1155	47	28	together	together	ADV
m-1155	47	29	with	with	ADP
m-1155	47	30	the	the	DET
m-1155	47	31	schematic	schematic	ADJ
m-1155	47	32	diagram	diagram	NOUN
m-1155	47	33	in	in	ADP
m-1155	47	34	figure	figure	NOUN
m-1155	47	35	1	1	NUM
m-1155	47	36	,	,	PUNCT
m-1155	47	37	the	the	DET
m-1155	47	38	model	model	NOUN
m-1155	47	39	of	of	ADP
m-1155	47	40	the	the	DET
m-1155	47	41	diphtheria	diphtheria	NOUN
m-1155	47	42	infection	infection	NOUN
m-1155	47	43	transmission	transmission	NOUN
m-1155	47	44	dynamics	dynamic	NOUN
m-1155	47	45	results	result	VERB
m-1155	47	46	in	in	ADP
m-1155	47	47	the	the	DET
m-1155	47	48	following	follow	VERB
m-1155	47	49	system	system	NOUN
m-1155	47	50	of	of	ADP
m-1155	47	51	deterministic	deterministic	ADJ
m-1155	47	52	non	non	ADJ
m-1155	47	53	-	-	ADJ
m-1155	47	54	linear	linear	ADJ
m-1155	47	55	first	first	ADJ
m-1155	47	56	order	order	NOUN
m-1155	47	57	differential	differential	ADJ
m-1155	47	58	equations	equation	NOUN
m-1155	47	59	�	�	PROPN
m-1155	47	60	�	�	PROPN
m-1155	47	61	�	�	PROPN
m-1155	47	62	�	�	PROPN
m-1155	47	63	�	�	PROPN
m-1155	47	64	=	=	SYM
m-1155	47	65	�	�	PROPN
m-1155	47	66	�	�	PROPN
m-1155	47	67	�	�	PROPN
m-1155	47	68	−	−	PROPN
m-1155	47	69	�	�	PROPN
m-1155	47	70	�	�	PROPN
m-1155	47	71	(	(	PUNCT
m-1155	47	72	�	�	PROPN
m-1155	47	73	�	�	PROPN
m-1155	47	74	�	�	PROPN
m-1155	47	75	�	�	PROPN
m-1155	47	76	+	+	SYM
m-1155	47	77	�	�	PROPN
m-1155	47	78	�	�	PROPN
m-1155	47	79	�	�	PROPN
m-1155	47	80	�	�	PROPN
m-1155	47	81	)	)	PUNCT
m-1155	47	82	�	�	PROPN
m-1155	47	83	�	�	PROPN
m-1155	47	84	−	−	PROPN
m-1155	47	85	�	�	PROPN
m-1155	47	86	�	�	PROPN
m-1155	47	87	�	�	PROPN
m-1155	47	88	�	�	PROPN
m-1155	47	89	−	−	PROPN
m-1155	47	90	�	�	PROPN
m-1155	47	91	�	�	PROPN
m-1155	47	92	1	1	NUM
m-1155	47	93	�	�	PROPN
m-1155	47	94	1	1	NUM
m-1155	47	95	−	−	PROPN
m-1155	47	96	�	�	PROPN
m-1155	47	97	�	�	PROPN
m-1155	47	98	�	�	PROPN
m-1155	47	99	−	−	PROPN
m-1155	47	100	�	�	PROPN
m-1155	47	101	�	�	PROPN
m-1155	47	102	1	1	NUM
m-1155	47	103	(	(	PUNCT
m-1155	47	104	2.1	2.1	NUM
m-1155	47	105	)	)	PUNCT
m-1155	47	106	�	�	PROPN
m-1155	47	107	�	�	PROPN
m-1155	47	108	�	�	PROPN
m-1155	47	109	�	�	PROPN
m-1155	47	110	�	�	PROPN
m-1155	47	111	=	=	SYM
m-1155	47	112	�	�	PROPN
m-1155	47	113	�	�	PROPN
m-1155	47	114	�	�	PROPN
m-1155	47	115	−	−	PROPN
m-1155	47	116	�	�	PROPN
m-1155	47	117	�	�	PROPN
m-1155	47	118	(	(	PUNCT
m-1155	47	119	�	�	PROPN
m-1155	47	120	�	�	PROPN
m-1155	47	121	�	�	PROPN
m-1155	47	122	�	�	PROPN
m-1155	47	123	+	+	SYM
m-1155	47	124	�	�	PROPN
m-1155	47	125	�	�	PROPN
m-1155	47	126	�	�	PROPN
m-1155	47	127	�	�	PROPN
m-1155	47	128	)	)	PUNCT
m-1155	47	129	�	�	PROPN
m-1155	47	130	�	�	PROPN
m-1155	47	131	−	−	PROPN
m-1155	47	132	�	�	PROPN
m-1155	47	133	�	�	PROPN
m-1155	47	134	�	�	PROPN
m-1155	47	135	�	�	PROPN
m-1155	47	136	−	−	PROPN
m-1155	47	137	�	�	PROPN
m-1155	47	138	�	�	PROPN
m-1155	47	139	2	2	NUM
m-1155	47	140	�	�	PROPN
m-1155	47	141	2	2	NUM
m-1155	47	142	−	−	NOUN
m-1155	47	143	�	�	PROPN
m-1155	47	144	�	�	NOUN
m-1155	47	145	2	2	NUM
m-1155	47	146	(	(	PUNCT
m-1155	47	147	2.2	2.2	NUM
m-1155	47	148	)	)	PUNCT
m-1155	47	149	�	�	PROPN
m-1155	47	150	�	�	PROPN
m-1155	47	151	�	�	PROPN
m-1155	47	152	�	�	PROPN
m-1155	47	153	=	=	SYM
m-1155	47	154	�	�	PROPN
m-1155	47	155	�	�	PROPN
m-1155	47	156	1	1	NUM
m-1155	47	157	�	�	PROPN
m-1155	47	158	1	1	NUM
m-1155	47	159	+	+	NUM
m-1155	47	160	�	�	PROPN
m-1155	47	161	�	�	PROPN
m-1155	47	162	2	2	NUM
m-1155	47	163	�	�	PROPN
m-1155	47	164	2	2	NUM
m-1155	47	165	−	−	PROPN
m-1155	47	166	�	�	PROPN
m-1155	47	167	�	�	PROPN
m-1155	47	168	(	(	PUNCT
m-1155	47	169	2.3	2.3	NUM
m-1155	47	170	)	)	PUNCT
m-1155	47	171	�	�	PROPN
m-1155	47	172	�	�	PROPN
m-1155	47	173	�	�	PROPN
m-1155	47	174	�	�	PROPN
m-1155	47	175	=	=	SYM
m-1155	47	176	�	�	PROPN
m-1155	47	177	�	�	PROPN
m-1155	47	178	(	(	PUNCT
m-1155	47	179	�	�	PROPN
m-1155	47	180	�	�	PROPN
m-1155	47	181	�	�	PROPN
m-1155	47	182	�	�	PROPN
m-1155	47	183	+	+	SYM
m-1155	47	184	�	�	PROPN
m-1155	47	185	�	�	PROPN
m-1155	47	186	�	�	PROPN
m-1155	47	187	�	�	PROPN
m-1155	47	188	)	)	PUNCT
m-1155	47	189	�	�	PROPN
m-1155	47	190	�	�	PROPN
m-1155	47	191	−	−	PROPN
m-1155	47	192	�	�	PROPN
m-1155	47	193	�	�	PROPN
m-1155	47	194	�	�	PROPN
m-1155	47	195	�	�	PROPN
m-1155	47	196	+	+	CCONJ
m-1155	47	197	�	�	PROPN
m-1155	47	198	�	�	PROPN
m-1155	47	199	(	(	PUNCT
m-1155	47	200	�	�	PROPN
m-1155	47	201	�	�	PROPN
m-1155	47	202	�	�	PROPN
m-1155	47	203	�	�	PROPN
m-1155	47	204	+	+	SYM
m-1155	47	205	�	�	PROPN
m-1155	47	206	�	�	PROPN
m-1155	47	207	�	�	PROPN
m-1155	47	208	�	�	PROPN
m-1155	47	209	)	)	PUNCT
m-1155	47	210	�	�	PROPN
m-1155	47	211	�	�	PROPN
m-1155	47	212	−	−	PROPN
m-1155	47	213	�	�	PROPN
m-1155	47	214	�	�	PROPN
m-1155	47	215	�	�	PROPN
m-1155	47	216	�	�	PROPN
m-1155	47	217	−	−	PROPN
m-1155	47	218	�	�	PROPN
m-1155	47	219	1	1	NUM
m-1155	47	220	�	�	PROPN
m-1155	47	221	�	�	PROPN
m-1155	47	222	−	−	PROPN
m-1155	47	223	�	�	PROPN
m-1155	47	224	2	2	NUM
m-1155	47	225	�	�	PROPN
m-1155	47	226	1	1	NUM
m-1155	47	227	−	−	PROPN
m-1155	47	228	�	�	PROPN
m-1155	47	229	�	�	PROPN
m-1155	47	230	�	�	PROPN
m-1155	47	231	−	−	PROPN
m-1155	47	232	�	�	PROPN
m-1155	47	233	�	�	PROPN
m-1155	47	234	(	(	PUNCT
m-1155	47	235	2.4	2.4	NUM
m-1155	47	236	)	)	PUNCT
m-1155	47	237	�	�	PROPN
m-1155	47	238	�	�	PROPN
m-1155	47	239	�	�	PROPN
m-1155	47	240	�	�	PROPN
m-1155	47	241	�	�	PROPN
m-1155	47	242	=	=	SYM
m-1155	47	243	�	�	PROPN
m-1155	47	244	1	1	NUM
m-1155	47	245	�	�	PROPN
m-1155	47	246	�	�	PROPN
m-1155	47	247	−	−	PROPN
m-1155	47	248	�	�	PROPN
m-1155	47	249	�	�	PROPN
m-1155	47	250	�	�	PROPN
m-1155	47	251	1	1	NUM
m-1155	47	252	−	−	PROPN
m-1155	47	253	�	�	PROPN
m-1155	47	254	1	1	NUM
m-1155	47	255	�	�	PROPN
m-1155	47	256	1	1	NUM
m-1155	47	257	−	−	PROPN
m-1155	47	258	�	�	PROPN
m-1155	47	259	�	�	PROPN
m-1155	47	260	1	1	NUM
m-1155	47	261	−	−	PROPN
m-1155	47	262	�	�	PROPN
m-1155	47	263	�	�	NOUN
m-1155	47	264	1	1	NUM
m-1155	47	265	(	(	PUNCT
m-1155	47	266	2.5	2.5	NUM
m-1155	47	267	)	)	PUNCT
m-1155	47	268	�	�	PROPN
m-1155	47	269	�	�	PROPN
m-1155	47	270	�	�	PROPN
m-1155	47	271	�	�	PROPN
m-1155	47	272	�	�	PROPN
m-1155	47	273	=	=	SYM
m-1155	47	274	�	�	PROPN
m-1155	47	275	2	2	NUM
m-1155	47	276	�	�	PROPN
m-1155	47	277	1	1	NUM
m-1155	47	278	−	−	PROPN
m-1155	47	279	�	�	PROPN
m-1155	47	280	�	�	PROPN
m-1155	47	281	�	�	PROPN
m-1155	47	282	−	−	PROPN
m-1155	47	283	�	�	PROPN
m-1155	47	284	�	�	PROPN
m-1155	47	285	�	�	PROPN
m-1155	47	286	2	2	NUM
m-1155	47	287	−	−	PROPN
m-1155	47	288	�	�	PROPN
m-1155	47	289	2	2	NUM
m-1155	47	290	�	�	NOUN
m-1155	47	291	2	2	NUM
m-1155	47	292	−	−	NOUN
m-1155	47	293	�	�	PROPN
m-1155	47	294	�	�	PROPN
m-1155	47	295	2	2	NUM
m-1155	47	296	−	−	PROPN
m-1155	47	297	�	�	PROPN
m-1155	47	298	�	�	NOUN
m-1155	47	299	2	2	NUM
m-1155	47	300	(	(	PUNCT
m-1155	47	301	2.6	2.6	NUM
m-1155	47	302	)	)	PUNCT
m-1155	47	303	�	�	PROPN
m-1155	47	304	�	�	PROPN
m-1155	47	305	�	�	PROPN
m-1155	47	306	�	�	PROPN
m-1155	47	307	�	�	PROPN
m-1155	47	308	=	=	SYM
m-1155	47	309	�	�	PROPN
m-1155	47	310	1	1	NUM
m-1155	47	311	�	�	PROPN
m-1155	47	312	1	1	NUM
m-1155	47	313	+	+	NUM
m-1155	47	314	�	�	PROPN
m-1155	47	315	2	2	NUM
m-1155	47	316	�	�	PROPN
m-1155	47	317	2	2	NUM
m-1155	47	318	−	−	PROPN
m-1155	47	319	�	�	PROPN
m-1155	47	320	�	�	PROPN
m-1155	47	321	�	�	PROPN
m-1155	47	322	�	�	PROPN
m-1155	47	323	−	−	PROPN
m-1155	47	324	�	�	PROPN
m-1155	47	325	�	�	PROPN
m-1155	47	326	�	�	PROPN
m-1155	47	327	−	−	PROPN
m-1155	47	328	�	�	PROPN
m-1155	47	329	�	�	PROPN
m-1155	47	330	�	�	PROPN
m-1155	47	331	(	(	PUNCT
m-1155	47	332	2.7	2.7	NUM
m-1155	47	333	)	)	PUNCT
m-1155	47	334	�	�	PROPN
m-1155	47	335	�	�	PROPN
m-1155	47	336	�	�	PROPN
m-1155	47	337	�	�	PROPN
m-1155	47	338	=	=	SYM
m-1155	47	339	�	�	PROPN
m-1155	47	340	�	�	PROPN
m-1155	47	341	�	�	PROPN
m-1155	47	342	1	1	NUM
m-1155	47	343	+	+	NUM
m-1155	47	344	�	�	PROPN
m-1155	47	345	�	�	PROPN
m-1155	47	346	�	�	NOUN
m-1155	47	347	2	2	NUM
m-1155	47	348	+	+	SYM
m-1155	47	349	�	�	PROPN
m-1155	47	350	�	�	PROPN
m-1155	47	351	�	�	PROPN
m-1155	47	352	�	�	PROPN
m-1155	47	353	−	−	PROPN
m-1155	47	354	�	�	PROPN
m-1155	47	355	�	�	PROPN
m-1155	47	356	(	(	PUNCT
m-1155	47	357	2.8	2.8	NUM
m-1155	47	358	)	)	PUNCT
m-1155	47	359	2.5	2.5	NUM
m-1155	47	360	fractional	fractional	ADJ
m-1155	47	361	order	order	NOUN
m-1155	47	362	model	model	NOUN
m-1155	47	363	thecaputo	thecaputo	PROPN
m-1155	47	364	-	-	PUNCT
m-1155	47	365	fabrizio	fabrizio	PROPN
m-1155	47	366	order	order	NOUN
m-1155	47	367	derivatives	derivative	NOUN
m-1155	47	368	of	of	ADP
m-1155	47	369	(	(	PUNCT
m-1155	47	370	2.1	2.1	NUM
m-1155	47	371	)	)	PUNCT
m-1155	47	372	–	–	PUNCT
m-1155	47	373	(	(	PUNCT
m-1155	47	374	2.8	2.8	NUM
m-1155	47	375	)	)	PUNCT
m-1155	47	376	is	be	AUX
m-1155	47	377	given	give	VERB
m-1155	47	378	as	as	SCONJ
m-1155	47	379	follows	follow	VERB
m-1155	47	380	�	�	PROPN
m-1155	47	381	�	�	PROPN
m-1155	47	382	�	�	PROPN
m-1155	47	383	�	�	PROPN
m-1155	47	384	�	�	PROPN
m-1155	47	385	(	(	PUNCT
m-1155	47	386	�	�	PROPN
m-1155	47	387	)	)	PUNCT
m-1155	47	388	�	�	PROPN
m-1155	47	389	�	�	PROPN
m-1155	47	390	�	�	PROPN
m-1155	47	391	=	=	SYM
m-1155	47	392	�	�	PROPN
m-1155	47	393	�	�	PROPN
m-1155	47	394	�	�	PROPN
m-1155	47	395	−	−	PROPN
m-1155	47	396	�	�	PROPN
m-1155	47	397	�	�	PROPN
m-1155	47	398	(	(	PUNCT
m-1155	47	399	�	�	PROPN
m-1155	47	400	�	�	PROPN
m-1155	47	401	�	�	PROPN
m-1155	47	402	�	�	PROPN
m-1155	47	403	+	+	SYM
m-1155	47	404	�	�	PROPN
m-1155	47	405	�	�	PROPN
m-1155	47	406	�	�	PROPN
m-1155	47	407	�	�	PROPN
m-1155	47	408	)	)	PUNCT
m-1155	47	409	�	�	PROPN
m-1155	47	410	�	�	PROPN
m-1155	47	411	−	−	PROPN
m-1155	47	412	�	�	PROPN
m-1155	47	413	�	�	PROPN
m-1155	47	414	�	�	PROPN
m-1155	47	415	�	�	PROPN
m-1155	47	416	−	−	PROPN
m-1155	47	417	�	�	PROPN
m-1155	47	418	�	�	PROPN
m-1155	47	419	�	�	PROPN
m-1155	47	420	�	�	PROPN
m-1155	47	421	�	�	PROPN
m-1155	47	422	−	−	PROPN
m-1155	47	423	�	�	PROPN
m-1155	47	424	�	�	PROPN
m-1155	47	425	�	�	PROPN
m-1155	47	426	−	−	PROPN
m-1155	47	427	�	�	PROPN
m-1155	47	428	�	�	PROPN
m-1155	47	429	�	�	PROPN
m-1155	47	430	(	(	PUNCT
m-1155	47	431	3.1	3.1	NUM
m-1155	47	432	)	)	PUNCT
m-1155	47	433	�	�	PROPN
m-1155	47	434	�	�	PROPN
m-1155	47	435	�	�	PROPN
m-1155	47	436	�	�	PROPN
m-1155	47	437	�	�	PROPN
m-1155	47	438	(	(	PUNCT
m-1155	47	439	�	�	PROPN
m-1155	47	440	)	)	PUNCT
m-1155	47	441	�	�	PROPN
m-1155	47	442	�	�	PROPN
m-1155	47	443	�	�	PROPN
m-1155	47	444	=	=	SYM
m-1155	47	445	�	�	PROPN
m-1155	47	446	�	�	PROPN
m-1155	47	447	�	�	PROPN
m-1155	47	448	−	−	PROPN
m-1155	47	449	�	�	PROPN
m-1155	47	450	�	�	PROPN
m-1155	47	451	(	(	PUNCT
m-1155	47	452	�	�	PROPN
m-1155	47	453	�	�	PROPN
m-1155	47	454	�	�	PROPN
m-1155	47	455	�	�	PROPN
m-1155	47	456	+	+	SYM
m-1155	47	457	�	�	PROPN
m-1155	47	458	�	�	PROPN
m-1155	47	459	�	�	PROPN
m-1155	47	460	�	�	PROPN
m-1155	47	461	)	)	PUNCT
m-1155	47	462	�	�	PROPN
m-1155	47	463	�	�	PROPN
m-1155	47	464	−	−	PROPN
m-1155	47	465	�	�	PROPN
m-1155	47	466	�	�	PROPN
m-1155	47	467	�	�	PROPN
m-1155	47	468	�	�	PROPN
m-1155	47	469	−	−	PROPN
m-1155	47	470	�	�	PROPN
m-1155	47	471	�	�	PROPN
m-1155	47	472	�	�	PROPN
m-1155	47	473	�	�	PROPN
m-1155	47	474	�	�	PROPN
m-1155	47	475	−	−	PROPN
m-1155	47	476	�	�	PROPN
m-1155	47	477	�	�	PROPN
m-1155	47	478	�	�	PROPN
m-1155	47	479	(	(	PUNCT
m-1155	47	480	3.2	3.2	NUM
m-1155	47	481	)	)	PUNCT
m-1155	47	482	�	�	PROPN
m-1155	47	483	�	�	PROPN
m-1155	47	484	�	�	PROPN
m-1155	47	485	�	�	PROPN
m-1155	47	486	(	(	PUNCT
m-1155	47	487	�	�	PROPN
m-1155	47	488	)	)	PUNCT
m-1155	47	489	�	�	PROPN
m-1155	47	490	�	�	PROPN
m-1155	47	491	�	�	PROPN
m-1155	47	492	=	=	SYM
m-1155	47	493	�	�	PROPN
m-1155	47	494	�	�	PROPN
m-1155	47	495	�	�	PROPN
m-1155	47	496	�	�	PROPN
m-1155	47	497	�	�	PROPN
m-1155	47	498	+	+	SYM
m-1155	47	499	�	�	PROPN
m-1155	47	500	�	�	PROPN
m-1155	47	501	�	�	PROPN
m-1155	47	502	�	�	PROPN
m-1155	47	503	�	�	PROPN
m-1155	47	504	−	−	PROPN
m-1155	47	505	�	�	PROPN
m-1155	47	506	�	�	PROPN
m-1155	47	507	(	(	PUNCT
m-1155	47	508	3.3	3.3	NUM
m-1155	47	509	)	)	PUNCT
m-1155	47	510	ijo	ijo	PROPN
m-1155	47	511	journals	journal	NOUN
m-1155	47	512	volume	volume	NOUN
m-1155	47	513	08	08	NUM
m-1155	48	1	|	|	ADV
m-1155	48	2	issue	issue	NOUN
m-1155	48	3	09	09	NUM
m-1155	48	4	|	|	ADV
m-1155	48	5	september	september	PROPN
m-1155	48	6	2025	2025	NUM
m-1155	49	1	|	|	ADV
m-1155	49	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-1155	49	3	42	42	NUM
m-1155	49	4	ijo	ijo	PROPN
m-1155	49	5	international	international	PROPN
m-1155	49	6	journal	journal	PROPN
m-1155	49	7	of	of	ADP
m-1155	49	8	mathematics	mathematics	PROPN
m-1155	49	9	(	(	PUNCT
m-1155	49	10	issn	issn	PROPN
m-1155	49	11	:	:	PUNCT
m-1155	49	12	2992	2992	NUM
m-1155	49	13	-	-	SYM
m-1155	49	14	4421	4421	NUM
m-1155	49	15	)	)	PUNCT
m-1155	49	16	thomas	thomas	PROPN
m-1155	49	17	,	,	PUNCT
m-1155	49	18	henry	henry	PROPN
m-1155	49	19	sylvester	sylvester	PROPN
m-1155	49	20	*	*	PUNCT
m-1155	49	21	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-1155	49	22	volume	volume	NOUN
m-1155	49	23	08	08	NUM
m-1155	49	24	||	||	PROPN
m-1155	49	25	issue	issue	NOUN
m-1155	49	26	09	09	NUM
m-1155	49	27	||	||	NOUN
m-1155	49	28	september	september	PROPN
m-1155	49	29	,	,	PUNCT
m-1155	49	30	2025	2025	NUM
m-1155	49	31	||	||	PUNCT
m-1155	50	1	“	"	PUNCT
m-1155	50	2	caputo	caputo	PROPN
m-1155	50	3	-	-	PUNCT
m-1155	50	4	fabrizio	fabrizio	PROPN
m-1155	50	5	fractional	fractional	ADJ
m-1155	50	6	drivatives	drivative	NOUN
m-1155	50	7	of	of	ADP
m-1155	50	8	age	age	NOUN
m-1155	50	9	-	-	PUNCT
m-1155	50	10	structured	structure	VERB
m-1155	50	11	dipptheria	dipptheria	NOUN
m-1155	50	12	infection	infection	NOUN
m-1155	50	13	model	model	NOUN
m-1155	50	14	with	with	ADP
m-1155	50	15	laplace	laplace	NOUN
m-1155	50	16	adomian	adomian	NOUN
m-1155	50	17	decomposition	decomposition	NOUN
m-1155	50	18	analysis	analysis	NOUN
m-1155	50	19	"	"	PUNCT
m-1155	50	20	�	�	PROPN
m-1155	50	21	�	�	PROPN
m-1155	50	22	�	�	PROPN
m-1155	50	23	�	�	PROPN
m-1155	50	24	(	(	PUNCT
m-1155	50	25	�	�	PROPN
m-1155	50	26	)	)	PUNCT
m-1155	50	27	�	�	PROPN
m-1155	50	28	�	�	PROPN
m-1155	50	29	�	�	PROPN
m-1155	50	30	=	=	SYM
m-1155	50	31	�	�	PROPN
m-1155	50	32	�	�	PROPN
m-1155	50	33	(	(	PUNCT
m-1155	50	34	�	�	PROPN
m-1155	50	35	�	�	PROPN
m-1155	50	36	�	�	PROPN
m-1155	50	37	�	�	PROPN
m-1155	50	38	+	+	SYM
m-1155	50	39	�	�	PROPN
m-1155	50	40	�	�	PROPN
m-1155	50	41	�	�	PROPN
m-1155	50	42	�	�	PROPN
m-1155	50	43	)	)	PUNCT
m-1155	50	44	�	�	PROPN
m-1155	50	45	�	�	PROPN
m-1155	50	46	−	−	PROPN
m-1155	50	47	�	�	PROPN
m-1155	50	48	�	�	PROPN
m-1155	50	49	�	�	PROPN
m-1155	50	50	�	�	PROPN
m-1155	50	51	+	+	CCONJ
m-1155	50	52	�	�	PROPN
m-1155	50	53	�	�	PROPN
m-1155	50	54	(	(	PUNCT
m-1155	50	55	�	�	PROPN
m-1155	50	56	�	�	PROPN
m-1155	50	57	�	�	PROPN
m-1155	50	58	�	�	PROPN
m-1155	50	59	+	+	SYM
m-1155	50	60	�	�	PROPN
m-1155	50	61	�	�	PROPN
m-1155	50	62	�	�	PROPN
m-1155	50	63	�	�	PROPN
m-1155	50	64	)	)	PUNCT
m-1155	50	65	�	�	PROPN
m-1155	50	66	�	�	PROPN
m-1155	50	67	−	−	PROPN
m-1155	50	68	�	�	PROPN
m-1155	50	69	�	�	PROPN
m-1155	50	70	�	�	PROPN
m-1155	50	71	�	�	PROPN
m-1155	50	72	−	−	PROPN
m-1155	50	73	�	�	PROPN
m-1155	50	74	�	�	PROPN
m-1155	50	75	�	�	PROPN
m-1155	50	76	�	�	PROPN
m-1155	50	77	−	−	PROPN
m-1155	50	78	�	�	PROPN
m-1155	50	79	�	�	PROPN
m-1155	50	80	(	(	PUNCT
m-1155	50	81	1	1	NUM
m-1155	50	82	−	−	PROPN
m-1155	50	83	�	�	PROPN
m-1155	50	84	)	)	PUNCT
m-1155	50	85	�	�	PROPN
m-1155	50	86	−	−	PROPN
m-1155	50	87	�	�	PROPN
m-1155	50	88	�	�	PROPN
m-1155	50	89	(	(	PUNCT
m-1155	50	90	3.4	3.4	NUM
m-1155	50	91	)	)	PUNCT
m-1155	50	92	�	�	PROPN
m-1155	50	93	�	�	PROPN
m-1155	50	94	�	�	PROPN
m-1155	50	95	�	�	PROPN
m-1155	50	96	�	�	PROPN
m-1155	50	97	(	(	PUNCT
m-1155	50	98	�	�	PROPN
m-1155	50	99	)	)	PUNCT
m-1155	50	100	�	�	PROPN
m-1155	50	101	�	�	PROPN
m-1155	50	102	=	=	SYM
m-1155	50	103	�	�	PROPN
m-1155	50	104	�	�	PROPN
m-1155	50	105	�	�	PROPN
m-1155	50	106	�	�	PROPN
m-1155	50	107	−	−	PROPN
m-1155	50	108	�	�	PROPN
m-1155	50	109	�	�	PROPN
m-1155	50	110	�	�	PROPN
m-1155	50	111	�	�	PROPN
m-1155	50	112	−	−	PROPN
m-1155	50	113	�	�	PROPN
m-1155	50	114	�	�	PROPN
m-1155	50	115	�	�	PROPN
m-1155	50	116	�	�	PROPN
m-1155	50	117	−	−	PROPN
m-1155	50	118	�	�	PROPN
m-1155	50	119	�	�	PROPN
m-1155	50	120	�	�	PROPN
m-1155	50	121	−	−	PROPN
m-1155	50	122	�	�	PROPN
m-1155	50	123	�	�	PROPN
m-1155	50	124	�	�	PROPN
m-1155	50	125	(	(	PUNCT
m-1155	50	126	3.5	3.5	NUM
m-1155	50	127	)	)	PUNCT
m-1155	50	128	�	�	PROPN
m-1155	50	129	�	�	PROPN
m-1155	50	130	�	�	PROPN
m-1155	50	131	�	�	PROPN
m-1155	50	132	�	�	PROPN
m-1155	50	133	(	(	PUNCT
m-1155	50	134	�	�	PROPN
m-1155	50	135	)	)	PUNCT
m-1155	50	136	�	�	PROPN
m-1155	50	137	�	�	PROPN
m-1155	50	138	�	�	PROPN
m-1155	50	139	=	=	SYM
m-1155	50	140	�	�	PROPN
m-1155	50	141	�	�	PROPN
m-1155	50	142	(	(	PUNCT
m-1155	50	143	1	1	NUM
m-1155	50	144	−	−	PROPN
m-1155	50	145	�	�	PROPN
m-1155	50	146	)	)	PUNCT
m-1155	50	147	�	�	PROPN
m-1155	50	148	−	−	PROPN
m-1155	50	149	�	�	PROPN
m-1155	50	150	�	�	PROPN
m-1155	50	151	�	�	PROPN
m-1155	50	152	�	�	PROPN
m-1155	50	153	−	−	PROPN
m-1155	50	154	�	�	PROPN
m-1155	50	155	�	�	PROPN
m-1155	50	156	�	�	PROPN
m-1155	50	157	�	�	PROPN
m-1155	50	158	−	−	PROPN
m-1155	50	159	�	�	PROPN
m-1155	50	160	�	�	PROPN
m-1155	50	161	�	�	PROPN
m-1155	50	162	−	−	PROPN
m-1155	50	163	�	�	PROPN
m-1155	50	164	�	�	PROPN
m-1155	50	165	�	�	PROPN
m-1155	50	166	(	(	PUNCT
m-1155	50	167	3.6	3.6	NUM
m-1155	50	168	)	)	PUNCT
m-1155	50	169	�	�	PROPN
m-1155	50	170	�	�	PROPN
m-1155	50	171	�	�	PROPN
m-1155	50	172	�	�	PROPN
m-1155	50	173	�	�	PROPN
m-1155	50	174	(	(	PUNCT
m-1155	50	175	�	�	PROPN
m-1155	50	176	)	)	PUNCT
m-1155	50	177	�	�	PROPN
m-1155	50	178	�	�	PROPN
m-1155	50	179	�	�	PROPN
m-1155	50	180	=	=	SYM
m-1155	50	181	�	�	PROPN
m-1155	50	182	�	�	PROPN
m-1155	50	183	�	�	PROPN
m-1155	50	184	�	�	PROPN
m-1155	50	185	+	+	SYM
m-1155	50	186	�	�	PROPN
m-1155	50	187	�	�	PROPN
m-1155	50	188	�	�	PROPN
m-1155	50	189	�	�	PROPN
m-1155	50	190	−	−	PROPN
m-1155	50	191	�	�	PROPN
m-1155	50	192	�	�	PROPN
m-1155	50	193	�	�	PROPN
m-1155	50	194	�	�	PROPN
m-1155	50	195	−	−	PROPN
m-1155	50	196	�	�	PROPN
m-1155	50	197	�	�	PROPN
m-1155	50	198	�	�	PROPN
m-1155	50	199	−	−	PROPN
m-1155	50	200	�	�	PROPN
m-1155	50	201	�	�	PROPN
m-1155	50	202	�	�	PROPN
m-1155	50	203	(	(	PUNCT
m-1155	50	204	3.7	3.7	NUM
m-1155	50	205	)	)	PUNCT
m-1155	50	206	�	�	PROPN
m-1155	50	207	�	�	PROPN
m-1155	50	208	�	�	PROPN
m-1155	50	209	�	�	PROPN
m-1155	50	210	(	(	PUNCT
m-1155	50	211	�	�	PROPN
m-1155	50	212	)	)	PUNCT
m-1155	50	213	�	�	PROPN
m-1155	50	214	�	�	PROPN
m-1155	50	215	�	�	PROPN
m-1155	50	216	=	=	SYM
m-1155	50	217	�	�	PROPN
m-1155	50	218	�	�	PROPN
m-1155	50	219	�	�	PROPN
m-1155	50	220	�	�	PROPN
m-1155	50	221	+	+	SYM
m-1155	50	222	�	�	PROPN
m-1155	50	223	�	�	PROPN
m-1155	50	224	�	�	PROPN
m-1155	50	225	�	�	PROPN
m-1155	50	226	+	+	SYM
m-1155	50	227	�	�	PROPN
m-1155	50	228	�	�	PROPN
m-1155	50	229	�	�	PROPN
m-1155	50	230	�	�	PROPN
m-1155	50	231	−	−	PROPN
m-1155	50	232	�	�	PROPN
m-1155	50	233	�	�	PROPN
m-1155	50	234	(	(	PUNCT
m-1155	50	235	3.8	3.8	NUM
m-1155	50	236	)	)	PUNCT
m-1155	50	237	ssss	ssss	NOUN
m-1155	50	238	with	with	ADP
m-1155	50	239	the	the	DET
m-1155	50	240	initial	initial	ADJ
m-1155	50	241	conditions	condition	NOUN
m-1155	50	242	,	,	PUNCT
m-1155	50	243	�	�	PROPN
m-1155	50	244	�	�	PROPN
m-1155	50	245	(	(	PUNCT
m-1155	50	246	0	0	NUM
m-1155	50	247	)	)	PUNCT
m-1155	50	248	=	=	SYM
m-1155	50	249	�	�	PROPN
m-1155	50	250	�	�	PROPN
m-1155	50	251	�	�	PROPN
m-1155	50	252	,	,	PUNCT
m-1155	50	253	�	�	PROPN
m-1155	50	254	�	�	PROPN
m-1155	50	255	(	(	PUNCT
m-1155	50	256	�	�	PROPN
m-1155	50	257	)	)	PUNCT
m-1155	50	258	=	=	SYM
m-1155	50	259	�	�	PROPN
m-1155	50	260	�	�	PROPN
m-1155	50	261	�	�	PROPN
m-1155	50	262	,	,	PUNCT
m-1155	50	263	�	�	PROPN
m-1155	50	264	(	(	PUNCT
m-1155	50	265	�	�	PROPN
m-1155	50	266	)	)	PUNCT
m-1155	50	267	=	=	SYM
m-1155	50	268	�	�	PROPN
m-1155	50	269	�	�	PROPN
m-1155	50	270	,	,	PUNCT
m-1155	50	271	�	�	PROPN
m-1155	50	272	(	(	PUNCT
m-1155	50	273	�	�	PROPN
m-1155	50	274	)	)	PUNCT
m-1155	50	275	=	=	SYM
m-1155	50	276	�	�	PROPN
m-1155	50	277	�	�	PROPN
m-1155	50	278	,	,	PUNCT
m-1155	50	279	�	�	PROPN
m-1155	50	280	�	�	PROPN
m-1155	50	281	(	(	PUNCT
m-1155	50	282	�	�	PROPN
m-1155	50	283	)	)	PUNCT
m-1155	50	284	=	=	SYM
m-1155	50	285	�	�	PROPN
m-1155	50	286	�	�	PROPN
m-1155	50	287	�	�	PROPN
m-1155	50	288	,	,	PUNCT
m-1155	50	289	�	�	PROPN
m-1155	50	290	�	�	PROPN
m-1155	50	291	(	(	PUNCT
m-1155	50	292	�	�	PROPN
m-1155	50	293	)	)	PUNCT
m-1155	50	294	=	=	SYM
m-1155	50	295	�	�	PROPN
m-1155	50	296	�	�	PROPN
m-1155	50	297	�	�	PROPN
m-1155	50	298	,	,	PUNCT
m-1155	50	299	,	,	PUNCT
m-1155	50	300	�	�	PROPN
m-1155	50	301	�	�	PROPN
m-1155	50	302	(	(	PUNCT
m-1155	50	303	�	�	PROPN
m-1155	50	304	)	)	PUNCT
m-1155	50	305	=	=	SYM
m-1155	50	306	�	�	PROPN
m-1155	50	307	�	�	PROPN
m-1155	50	308	�	�	PROPN
m-1155	50	309	�	�	PROPN
m-1155	50	310	(	(	PUNCT
m-1155	50	311	�	�	PROPN
m-1155	50	312	)	)	PUNCT
m-1155	50	313	=	=	SYM
m-1155	50	314	�	�	PROPN
m-1155	50	315	�	�	PROPN
m-1155	50	316	�	�	PROPN
m-1155	50	317	�	�	PROPN
m-1155	50	318	(	(	PUNCT
m-1155	50	319	�	�	PROPN
m-1155	50	320	)	)	PUNCT
m-1155	50	321	+	+	SYM
m-1155	50	322	�	�	PROPN
m-1155	50	323	�	�	PROPN
m-1155	50	324	(	(	PUNCT
m-1155	50	325	�	�	PROPN
m-1155	50	326	)	)	PUNCT
m-1155	50	327	+	+	SYM
m-1155	50	328	�	�	PROPN
m-1155	50	329	(	(	PUNCT
m-1155	50	330	�	�	PROPN
m-1155	50	331	)	)	PUNCT
m-1155	50	332	+	+	SYM
m-1155	50	333	�	�	PROPN
m-1155	50	334	(	(	PUNCT
m-1155	50	335	�	�	PROPN
m-1155	50	336	)	)	PUNCT
m-1155	50	337	+	+	SYM
m-1155	50	338	�	�	PROPN
m-1155	50	339	�	�	PROPN
m-1155	50	340	(	(	PUNCT
m-1155	50	341	�	�	PROPN
m-1155	50	342	)	)	PUNCT
m-1155	50	343	+	+	SYM
m-1155	50	344	�	�	PROPN
m-1155	50	345	�	�	PROPN
m-1155	50	346	(	(	PUNCT
m-1155	50	347	�	�	PROPN
m-1155	50	348	)	)	PUNCT
m-1155	50	349	+	+	SYM
m-1155	50	350	�	�	PROPN
m-1155	50	351	�	�	PROPN
m-1155	50	352	(	(	PUNCT
m-1155	50	353	�	�	PROPN
m-1155	50	354	)	)	PUNCT
m-1155	50	355	+	+	SYM
m-1155	50	356	�	�	PROPN
m-1155	50	357	(	(	PUNCT
m-1155	50	358	�	�	PROPN
m-1155	50	359	)	)	PUNCT
m-1155	50	360	=	=	SYM
m-1155	50	361	1	1	NUM
m-1155	50	362	�	�	PROPN
m-1155	50	363	�	�	PROPN
m-1155	50	364	�	�	PROPN
m-1155	50	365	�	�	PROPN
m-1155	50	366	�	�	PROPN
m-1155	50	367	�	�	PROPN
m-1155	50	368	represents	represent	VERB
m-1155	50	369	the	the	DET
m-1155	50	370	caputo	caputo	PROPN
m-1155	50	371	-	-	PUNCT
m-1155	50	372	fabrizio	fabrizio	PROPN
m-1155	50	373	fractional	fractional	ADJ
m-1155	50	374	derivative	derivative	NOUN
m-1155	50	375	of	of	ADP
m-1155	50	376	order	order	NOUN
m-1155	50	377	�	�	PROPN
m-1155	50	378	�	�	PROPN
m-1155	50	379	[	[	X
m-1155	50	380	0	0	NUM
m-1155	50	381	,	,	PUNCT
m-1155	50	382	1	1	NUM
m-1155	50	383	]	]	SYM
m-1155	50	384	3.0	3.0	NUM
m-1155	50	385	analysis	analysis	NOUN
m-1155	50	386	of	of	ADP
m-1155	50	387	the	the	DET
m-1155	50	388	model	model	NOUN
m-1155	50	389	3.1	3.1	NUM
m-1155	50	390	existence	existence	NOUN
m-1155	50	391	and	and	CCONJ
m-1155	50	392	uniqueness	uniqueness	NOUN
m-1155	50	393	of	of	ADP
m-1155	50	394	solution	solution	NOUN
m-1155	50	395	we	we	PRON
m-1155	50	396	shall	shall	AUX
m-1155	50	397	use	use	VERB
m-1155	50	398	some	some	DET
m-1155	50	399	basic	basic	ADJ
m-1155	50	400	fixed	fix	VERB
m-1155	50	401	point	point	NOUN
m-1155	50	402	theorem	theorem	VERB
m-1155	50	403	to	to	PART
m-1155	50	404	establish	establish	VERB
m-1155	50	405	the	the	DET
m-1155	50	406	existence	existence	NOUN
m-1155	50	407	and	and	CCONJ
m-1155	50	408	uniqueness	uniqueness	NOUN
m-1155	50	409	of	of	ADP
m-1155	50	410	the	the	DET
m-1155	50	411	solution	solution	NOUN
m-1155	50	412	of	of	ADP
m-1155	50	413	(	(	PUNCT
m-1155	50	414	3.1	3.1	NUM
m-1155	50	415	)	)	PUNCT
m-1155	50	416	–	–	PUNCT
m-1155	50	417	(	(	PUNCT
m-1155	50	418	3.8	3.8	NUM
m-1155	50	419	)	)	PUNCT
m-1155	50	420	�	�	PROPN
m-1155	50	421	�	�	PROPN
m-1155	50	422	�	�	PROPN
m-1155	50	423	�	�	PROPN
m-1155	50	424	(	(	PUNCT
m-1155	50	425	�	�	PROPN
m-1155	50	426	)	)	PUNCT
m-1155	50	427	�	�	PROPN
m-1155	50	428	�	�	PROPN
m-1155	50	429	�	�	PROPN
m-1155	50	430	=	=	PUNCT
m-1155	50	431	ℒ	ℒ	PROPN
m-1155	50	432	(	(	PUNCT
m-1155	50	433	�	�	PROPN
m-1155	50	434	,	,	PUNCT
m-1155	50	435	�	�	PROPN
m-1155	50	436	(	(	PUNCT
m-1155	50	437	�	�	PROPN
m-1155	50	438	)	)	PUNCT
m-1155	50	439	(	(	PUNCT
m-1155	50	440	3.9	3.9	NUM
m-1155	50	441	)	)	PUNCT
m-1155	50	442	�	�	PROPN
m-1155	50	443	(	(	PUNCT
m-1155	50	444	0	0	NUM
m-1155	50	445	)	)	PUNCT
m-1155	50	446	=	=	SYM
m-1155	50	447	�	�	PROPN
m-1155	50	448	�	�	PROPN
m-1155	50	449	�	�	PROPN
m-1155	50	450	(	(	PUNCT
m-1155	50	451	�	�	PROPN
m-1155	50	452	)	)	PUNCT
m-1155	50	453	=	=	SYM
m-1155	50	454	�	�	PROPN
m-1155	50	455	�	�	PROPN
m-1155	50	456	�	�	PROPN
m-1155	50	457	(	(	PUNCT
m-1155	50	458	�	�	PROPN
m-1155	50	459	)	)	PUNCT
m-1155	50	460	,	,	PUNCT
m-1155	50	461	�	�	PROPN
m-1155	50	462	�	�	PROPN
m-1155	50	463	(	(	PUNCT
m-1155	50	464	�	�	PROPN
m-1155	50	465	)	)	PUNCT
m-1155	50	466	,	,	PUNCT
m-1155	50	467	�	�	PROPN
m-1155	50	468	(	(	PUNCT
m-1155	50	469	�	�	PROPN
m-1155	50	470	)	)	PUNCT
m-1155	50	471	,	,	PUNCT
m-1155	50	472	�	�	PROPN
m-1155	50	473	(	(	PUNCT
m-1155	50	474	�	�	PROPN
m-1155	50	475	)	)	PUNCT
m-1155	50	476	,	,	PUNCT
m-1155	50	477	�	�	PROPN
m-1155	50	478	�	�	PROPN
m-1155	50	479	(	(	PUNCT
m-1155	50	480	�	�	PROPN
m-1155	50	481	)	)	PUNCT
m-1155	50	482	,	,	PUNCT
m-1155	50	483	�	�	PROPN
m-1155	50	484	�	�	PROPN
m-1155	50	485	(	(	PUNCT
m-1155	50	486	�	�	PROPN
m-1155	50	487	)	)	PUNCT
m-1155	50	488	,	,	PUNCT
m-1155	50	489	�	�	PROPN
m-1155	50	490	�	�	PROPN
m-1155	50	491	(	(	PUNCT
m-1155	50	492	�	�	PROPN
m-1155	50	493	)	)	PUNCT
m-1155	50	494	,	,	PUNCT
m-1155	50	495	�	�	PROPN
m-1155	50	496	(	(	PUNCT
m-1155	50	497	�	�	PROPN
m-1155	50	498	)	)	PUNCT
m-1155	50	499	�	�	PROPN
m-1155	50	500	�	�	PROPN
m-1155	50	501	∈	∈	PROPN
m-1155	50	502	ℜ	ℜ	PROPN
m-1155	50	503	�	�	PROPN
m-1155	50	504	�	�	PROPN
m-1155	50	505	�	�	PROPN
m-1155	50	506	�	�	PROPN
m-1155	50	507	�	�	PROPN
m-1155	50	508	∈	∈	PROPN
m-1155	51	1	[	[	X
m-1155	51	2	0	0	NUM
m-1155	51	3	.	.	PUNCT
m-1155	51	4	�	�	PROPN
m-1155	51	5	�	�	PROPN
m-1155	51	6	�	�	PROPN
m-1155	51	7	�	�	PROPN
m-1155	51	8	]	]	PUNCT
m-1155	51	9	denotes	denote	VERB
m-1155	51	10	the	the	DET
m-1155	51	11	state	state	NOUN
m-1155	51	12	of	of	ADP
m-1155	51	13	the	the	DET
m-1155	51	14	model	model	NOUN
m-1155	51	15	and	and	CCONJ
m-1155	51	16	ℒ	ℒ	PROPN
m-1155	51	17	represent	represent	VERB
m-1155	51	18	the	the	DET
m-1155	51	19	continuous	continuous	ADJ
m-1155	51	20	vector	vector	NOUN
m-1155	51	21	given	give	VERB
m-1155	51	22	below	below	ADP
m-1155	51	23	ijo	ijo	PROPN
m-1155	51	24	journals	journal	NOUN
m-1155	51	25	volume	volume	NOUN
m-1155	51	26	08	08	NUM
m-1155	52	1	|	|	ADV
m-1155	52	2	issue	issue	NOUN
m-1155	52	3	09	09	NUM
m-1155	52	4	|	|	ADV
m-1155	52	5	september	september	PROPN
m-1155	52	6	2025	2025	NUM
m-1155	53	1	|	|	ADV
m-1155	53	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-1155	53	3	43	43	NUM
m-1155	53	4	ijo	ijo	PROPN
m-1155	53	5	international	international	PROPN
m-1155	53	6	journal	journal	PROPN
m-1155	53	7	of	of	ADP
m-1155	53	8	mathematics	mathematics	PROPN
m-1155	53	9	(	(	PUNCT
m-1155	53	10	issn	issn	PROPN
m-1155	53	11	:	:	PUNCT
m-1155	53	12	2992	2992	NUM
m-1155	53	13	-	-	SYM
m-1155	53	14	4421	4421	NUM
m-1155	53	15	)	)	PUNCT
m-1155	53	16	thomas	thomas	PROPN
m-1155	53	17	,	,	PUNCT
m-1155	53	18	henry	henry	PROPN
m-1155	53	19	sylvester	sylvester	PROPN
m-1155	53	20	*	*	PUNCT
m-1155	53	21	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-1155	53	22	volume	volume	NOUN
m-1155	53	23	08	08	NUM
m-1155	53	24	||	||	PROPN
m-1155	53	25	issue	issue	NOUN
m-1155	53	26	09	09	NUM
m-1155	53	27	||	||	NOUN
m-1155	53	28	september	september	PROPN
m-1155	53	29	,	,	PUNCT
m-1155	53	30	2025	2025	NUM
m-1155	53	31	||	||	PUNCT
m-1155	54	1	“	"	PUNCT
m-1155	54	2	caputo	caputo	PROPN
m-1155	54	3	-	-	PUNCT
m-1155	54	4	fabrizio	fabrizio	PROPN
m-1155	54	5	fractional	fractional	ADJ
m-1155	54	6	drivatives	drivative	NOUN
m-1155	54	7	of	of	ADP
m-1155	54	8	age	age	NOUN
m-1155	54	9	-	-	PUNCT
m-1155	54	10	structured	structure	VERB
m-1155	54	11	dipptheria	dipptheria	NOUN
m-1155	54	12	infection	infection	NOUN
m-1155	54	13	model	model	NOUN
m-1155	54	14	with	with	ADP
m-1155	54	15	laplace	laplace	NOUN
m-1155	54	16	adomian	adomian	NOUN
m-1155	54	17	decomposition	decomposition	NOUN
m-1155	54	18	analysis	analysis	NOUN
m-1155	54	19	"	"	PUNCT
m-1155	54	20	ℒ	ℒ	NOUN
m-1155	54	21	=	=	SYM
m-1155	54	22	⎝	⎝	PROPN
m-1155	54	23	⎜	⎜	PROPN
m-1155	54	24	⎜	⎜	PROPN
m-1155	54	25	⎜	⎜	PROPN
m-1155	54	26	⎜	⎜	PROPN
m-1155	54	27	⎜	⎜	PROPN
m-1155	54	28	⎛	⎛	PROPN
m-1155	54	29	ℒ2	ℒ2	PROPN
m-1155	54	30	ℒ3	ℒ3	PROPN
m-1155	54	31	ℒ4	ℒ4	VERB
m-1155	54	32	ℒ5	ℒ5	PROPN
m-1155	54	33	ℒ6	ℒ6	PROPN
m-1155	54	34	ℒ7	ℒ7	PROPN
m-1155	54	35	ℒ8	ℒ8	ADP
m-1155	54	36	⎠	⎠	X
m-1155	54	37	⎟	⎟	X
m-1155	54	38	⎟	⎟	X
m-1155	54	39	⎟	⎟	X
m-1155	54	40	⎟	⎟	X
m-1155	54	41	⎟	⎟	PROPN
m-1155	54	42	⎞	⎞	VERB
m-1155	54	43	=	=	SYM
m-1155	54	44	⎝	⎝	PROPN
m-1155	54	45	⎜	⎜	PROPN
m-1155	54	46	⎜	⎜	PROPN
m-1155	54	47	⎜	⎜	PROPN
m-1155	54	48	⎜	⎜	PROPN
m-1155	54	49	⎜	⎜	PROPN
m-1155	54	50	⎜	⎜	PROPN
m-1155	54	51	⎜	⎜	PROPN
m-1155	54	52	⎛	⎛	SYM
m-1155	54	53	�	�	PROPN
m-1155	54	54	�	�	PROPN
m-1155	54	55	�	�	PROPN
m-1155	54	56	−	−	PROPN
m-1155	54	57	�	�	PROPN
m-1155	54	58	�	�	PROPN
m-1155	54	59	(	(	PUNCT
m-1155	54	60	�	�	PROPN
m-1155	54	61	�	�	PROPN
m-1155	54	62	�	�	PROPN
m-1155	54	63	�	�	PROPN
m-1155	54	64	�	�	PROPN
m-1155	54	65	�	�	PROPN
m-1155	54	66	�	�	PROPN
m-1155	54	67	�	�	PROPN
m-1155	54	68	�	�	PROPN
m-1155	54	69	)	)	PUNCT
m-1155	54	70	�	�	PROPN
m-1155	54	71	�	�	PROPN
m-1155	54	72	�	�	PROPN
m-1155	54	73	�	�	PROPN
m-1155	54	74	�	�	PROPN
m-1155	54	75	�	�	PROPN
m-1155	54	76	�	�	PROPN
m-1155	54	77	−	−	PROPN
m-1155	54	78	�	�	PROPN
m-1155	54	79	�	�	PROPN
m-1155	54	80	�	�	PROPN
m-1155	54	81	�	�	PROPN
m-1155	54	82	�	�	PROPN
m-1155	54	83	−	−	PROPN
m-1155	54	84	�	�	PROPN
m-1155	54	85	�	�	PROPN
m-1155	54	86	�	�	PROPN
m-1155	54	87	−	−	PROPN
m-1155	54	88	�	�	PROPN
m-1155	54	89	�	�	PROPN
m-1155	54	90	�	�	PROPN
m-1155	54	91	�	�	PROPN
m-1155	54	92	�	�	PROPN
m-1155	54	93	�	�	PROPN
m-1155	54	94	−	−	PROPN
m-1155	54	95	�	�	PROPN
m-1155	54	96	�	�	PROPN
m-1155	54	97	(	(	PUNCT
m-1155	54	98	�	�	PROPN
m-1155	54	99	�	�	PROPN
m-1155	54	100	�	�	PROPN
m-1155	54	101	�	�	PROPN
m-1155	54	102	�	�	PROPN
m-1155	54	103	�	�	PROPN
m-1155	54	104	�	�	PROPN
m-1155	54	105	�	�	PROPN
m-1155	54	106	�	�	PROPN
m-1155	54	107	)	)	PUNCT
m-1155	54	108	�	�	PROPN
m-1155	54	109	�	�	PROPN
m-1155	54	110	�	�	PROPN
m-1155	54	111	�	�	PROPN
m-1155	54	112	�	�	PROPN
m-1155	54	113	�	�	PROPN
m-1155	54	114	�	�	PROPN
m-1155	54	115	−	−	PROPN
m-1155	54	116	�	�	PROPN
m-1155	54	117	�	�	PROPN
m-1155	54	118	�	�	PROPN
m-1155	54	119	�	�	PROPN
m-1155	54	120	�	�	PROPN
m-1155	54	121	−	−	PROPN
m-1155	54	122	�	�	PROPN
m-1155	54	123	�	�	PROPN
m-1155	54	124	�	�	PROPN
m-1155	54	125	�	�	PROPN
m-1155	54	126	�	�	PROPN
m-1155	54	127	�	�	PROPN
m-1155	54	128	�	�	PROPN
m-1155	54	129	�	�	PROPN
m-1155	54	130	+	+	SYM
m-1155	54	131	�	�	PROPN
m-1155	54	132	�	�	PROPN
m-1155	54	133	�	�	PROPN
m-1155	54	134	�	�	PROPN
m-1155	54	135	�	�	PROPN
m-1155	54	136	−	−	PROPN
m-1155	54	137	�	�	PROPN
m-1155	54	138	�	�	PROPN
m-1155	54	139	−	−	PROPN
m-1155	54	140	�	�	PROPN
m-1155	54	141	�	�	PROPN
m-1155	54	142	�	�	PROPN
m-1155	54	143	�	�	PROPN
m-1155	54	144	(	(	PUNCT
m-1155	54	145	�	�	PROPN
m-1155	54	146	�	�	PROPN
m-1155	54	147	�	�	PROPN
m-1155	54	148	�	�	PROPN
m-1155	54	149	�	�	PROPN
m-1155	54	150	�	�	PROPN
m-1155	54	151	�	�	PROPN
m-1155	54	152	�	�	PROPN
m-1155	54	153	�	�	PROPN
m-1155	54	154	)	)	PUNCT
m-1155	54	155	�	�	PROPN
m-1155	54	156	�	�	PROPN
m-1155	54	157	�	�	PROPN
m-1155	54	158	�	�	PROPN
m-1155	54	159	�	�	PROPN
m-1155	54	160	�	�	PROPN
m-1155	54	161	�	�	PROPN
m-1155	54	162	+	+	CCONJ
m-1155	54	163	�	�	PROPN
m-1155	54	164	�	�	PROPN
m-1155	54	165	(	(	PUNCT
m-1155	54	166	�	�	PROPN
m-1155	54	167	�	�	PROPN
m-1155	54	168	�	�	PROPN
m-1155	54	169	�	�	PROPN
m-1155	54	170	�	�	PROPN
m-1155	54	171	�	�	PROPN
m-1155	54	172	�	�	PROPN
m-1155	54	173	�	�	PROPN
m-1155	54	174	�	�	PROPN
m-1155	54	175	)	)	PUNCT
m-1155	54	176	�	�	PROPN
m-1155	54	177	�	�	PROPN
m-1155	54	178	�	�	PROPN
m-1155	54	179	�	�	PROPN
m-1155	54	180	�	�	PROPN
m-1155	54	181	�	�	PROPN
m-1155	54	182	�	�	PROPN
m-1155	54	183	−	−	PROPN
m-1155	54	184	�	�	PROPN
m-1155	54	185	�	�	PROPN
m-1155	54	186	�	�	PROPN
m-1155	54	187	�	�	PROPN
m-1155	54	188	−	−	PROPN
m-1155	54	189	�	�	PROPN
m-1155	54	190	�	�	PROPN
m-1155	54	191	(	(	PUNCT
m-1155	54	192	1	1	NUM
m-1155	54	193	−	−	PROPN
m-1155	54	194	�	�	PROPN
m-1155	54	195	)	)	PUNCT
m-1155	54	196	�	�	PROPN
m-1155	54	197	−	−	PROPN
m-1155	54	198	�	�	PROPN
m-1155	54	199	�	�	PROPN
m-1155	54	200	�	�	PROPN
m-1155	54	201	�	�	PROPN
m-1155	54	202	�	�	PROPN
m-1155	54	203	�	�	PROPN
m-1155	54	204	−	−	PROPN
m-1155	54	205	�	�	PROPN
m-1155	54	206	�	�	PROPN
m-1155	54	207	�	�	PROPN
m-1155	54	208	�	�	PROPN
m-1155	54	209	−	−	PROPN
m-1155	54	210	�	�	PROPN
m-1155	54	211	�	�	PROPN
m-1155	54	212	�	�	PROPN
m-1155	54	213	�	�	PROPN
m-1155	54	214	−	−	PROPN
m-1155	54	215	�	�	PROPN
m-1155	54	216	�	�	PROPN
m-1155	54	217	�	�	PROPN
m-1155	54	218	−	−	PROPN
m-1155	54	219	�	�	PROPN
m-1155	54	220	�	�	PROPN
m-1155	54	221	�	�	PROPN
m-1155	54	222	�	�	PROPN
m-1155	54	223	�	�	PROPN
m-1155	54	224	(	(	PUNCT
m-1155	54	225	1	1	NUM
m-1155	54	226	−	−	PROPN
m-1155	54	227	�	�	PROPN
m-1155	54	228	)	)	PUNCT
m-1155	54	229	�	�	PROPN
m-1155	54	230	−	−	PROPN
m-1155	54	231	�	�	PROPN
m-1155	54	232	�	�	PROPN
m-1155	54	233	�	�	PROPN
m-1155	54	234	�	�	PROPN
m-1155	54	235	−	−	PROPN
m-1155	54	236	�	�	PROPN
m-1155	54	237	�	�	PROPN
m-1155	54	238	�	�	PROPN
m-1155	54	239	�	�	PROPN
m-1155	54	240	−	−	PROPN
m-1155	54	241	�	�	PROPN
m-1155	54	242	�	�	PROPN
m-1155	54	243	�	�	PROPN
m-1155	54	244	−	−	PROPN
m-1155	54	245	�	�	PROPN
m-1155	54	246	�	�	PROPN
m-1155	54	247	�	�	PROPN
m-1155	54	248	�	�	PROPN
m-1155	54	249	�	�	PROPN
m-1155	54	250	�	�	PROPN
m-1155	54	251	�	�	PROPN
m-1155	54	252	+	+	SYM
m-1155	54	253	�	�	PROPN
m-1155	54	254	�	�	PROPN
m-1155	54	255	�	�	PROPN
m-1155	54	256	�	�	PROPN
m-1155	54	257	−	−	PROPN
m-1155	54	258	�	�	PROPN
m-1155	54	259	�	�	PROPN
m-1155	54	260	�	�	PROPN
m-1155	54	261	�	�	PROPN
m-1155	54	262	−	−	PROPN
m-1155	54	263	�	�	PROPN
m-1155	54	264	�	�	PROPN
m-1155	54	265	�	�	PROPN
m-1155	54	266	−	−	PROPN
m-1155	54	267	�	�	PROPN
m-1155	54	268	�	�	PROPN
m-1155	54	269	�	�	PROPN
m-1155	54	270	�	�	PROPN
m-1155	54	271	�	�	PROPN
m-1155	54	272	�	�	PROPN
m-1155	54	273	�	�	PROPN
m-1155	54	274	+	+	SYM
m-1155	54	275	�	�	PROPN
m-1155	54	276	�	�	PROPN
m-1155	54	277	�	�	PROPN
m-1155	54	278	�	�	PROPN
m-1155	54	279	+	+	SYM
m-1155	54	280	�	�	PROPN
m-1155	54	281	�	�	PROPN
m-1155	54	282	�	�	PROPN
m-1155	54	283	�	�	PROPN
m-1155	54	284	−	−	PROPN
m-1155	54	285	�	�	PROPN
m-1155	54	286	�	�	NOUN
m-1155	54	287	⎠	⎠	NOUN
m-1155	54	288	⎟	⎟	X
m-1155	54	289	⎟	⎟	X
m-1155	54	290	⎟	⎟	X
m-1155	54	291	⎟	⎟	X
m-1155	54	292	⎟	⎟	PROPN
m-1155	54	293	⎟	⎟	PROPN
m-1155	54	294	⎟	⎟	PROPN
m-1155	54	295	⎞	⎞	PROPN
m-1155	54	296	(	(	PUNCT
m-1155	54	297	3.10	3.10	NUM
m-1155	54	298	)	)	PUNCT
m-1155	54	299	the	the	DET
m-1155	54	300	initial	initial	ADJ
m-1155	54	301	condition	condition	NOUN
m-1155	54	302	of	of	ADP
m-1155	54	303	the	the	DET
m-1155	54	304	variable	variable	NOUN
m-1155	54	305	of	of	ADP
m-1155	54	306	the	the	DET
m-1155	54	307	model	model	NOUN
m-1155	54	308	is	be	AUX
m-1155	54	309	denoted	denote	VERB
m-1155	54	310	by	by	ADP
m-1155	54	311	�	�	PROPN
m-1155	54	312	�	�	PROPN
m-1155	54	313	�	�	PROPN
m-1155	54	314	(	(	PUNCT
m-1155	54	315	0	0	NUM
m-1155	54	316	)	)	PUNCT
m-1155	54	317	,	,	PUNCT
m-1155	54	318	�	�	PROPN
m-1155	54	319	�	�	PROPN
m-1155	54	320	(	(	PUNCT
m-1155	54	321	0	0	NUM
m-1155	54	322	)	)	PUNCT
m-1155	54	323	,	,	PUNCT
m-1155	54	324	�	�	PROPN
m-1155	54	325	(	(	PUNCT
m-1155	54	326	0	0	NUM
m-1155	54	327	)	)	PUNCT
m-1155	54	328	,	,	PUNCT
m-1155	54	329	�	�	PROPN
m-1155	54	330	(	(	PUNCT
m-1155	54	331	0	0	NUM
m-1155	54	332	)	)	PUNCT
m-1155	54	333	,	,	PUNCT
m-1155	54	334	�	�	PROPN
m-1155	54	335	�	�	PROPN
m-1155	54	336	(	(	PUNCT
m-1155	54	337	0	0	NUM
m-1155	54	338	)	)	PUNCT
m-1155	54	339	,	,	PUNCT
m-1155	54	340	�	�	PROPN
m-1155	54	341	20	20	NUM
m-1155	54	342	,	,	PUNCT
m-1155	54	343	�	�	PROPN
m-1155	54	344	�	�	PROPN
m-1155	54	345	0	0	NUM
m-1155	54	346	,	,	PUNCT
m-1155	54	347	�	�	PROPN
m-1155	54	348	0	0	NUM
m-1155	54	349	�	�	PROPN
m-1155	54	350	where	where	SCONJ
m-1155	54	351	�	�	PROPN
m-1155	54	352	(	(	PUNCT
m-1155	54	353	0	0	NUM
m-1155	54	354	)	)	PUNCT
m-1155	54	355	=	=	SYM
m-1155	54	356	�	�	PROPN
m-1155	54	357	�	�	PROPN
m-1155	54	358	�	�	PROPN
m-1155	54	359	(	(	PUNCT
m-1155	54	360	0	0	NUM
m-1155	54	361	)	)	PUNCT
m-1155	54	362	,	,	PUNCT
m-1155	54	363	�	�	PROPN
m-1155	54	364	�	�	PROPN
m-1155	54	365	(	(	PUNCT
m-1155	54	366	0	0	NUM
m-1155	54	367	)	)	PUNCT
m-1155	54	368	,	,	PUNCT
m-1155	54	369	�	�	PROPN
m-1155	54	370	(	(	PUNCT
m-1155	54	371	0	0	NUM
m-1155	54	372	)	)	PUNCT
m-1155	54	373	,	,	PUNCT
m-1155	54	374	�	�	PROPN
m-1155	54	375	(	(	PUNCT
m-1155	54	376	0	0	NUM
m-1155	54	377	)	)	PUNCT
m-1155	54	378	,	,	PUNCT
m-1155	54	379	�	�	PROPN
m-1155	54	380	�	�	PROPN
m-1155	54	381	(	(	PUNCT
m-1155	54	382	0	0	NUM
m-1155	54	383	)	)	PUNCT
m-1155	54	384	,	,	PUNCT
m-1155	54	385	�	�	PROPN
m-1155	54	386	�	�	PROPN
m-1155	54	387	(	(	PUNCT
m-1155	54	388	0	0	NUM
m-1155	54	389	)	)	PUNCT
m-1155	54	390	,	,	PUNCT
m-1155	54	391	�	�	PROPN
m-1155	54	392	�	�	PROPN
m-1155	54	393	(	(	PUNCT
m-1155	54	394	0	0	NUM
m-1155	54	395	)	)	PUNCT
m-1155	54	396	,	,	PUNCT
m-1155	54	397	�	�	PROPN
m-1155	54	398	(	(	PUNCT
m-1155	54	399	0	0	NUM
m-1155	54	400	)	)	PUNCT
m-1155	54	401	�	�	PROPN
m-1155	54	402	�	�	PROPN
m-1155	54	403	�	�	PROPN
m-1155	54	404	�	�	PROPN
m-1155	54	405	�	�	PROPN
m-1155	54	406	,	,	PUNCT
m-1155	54	407	�	�	PROPN
m-1155	54	408	�	�	PROPN
m-1155	54	409	=	=	SYM
m-1155	54	410	(	(	PUNCT
m-1155	54	411	�	�	PROPN
m-1155	54	412	�	�	PROPN
m-1155	54	413	�	�	PROPN
m-1155	54	414	,	,	PUNCT
m-1155	54	415	�	�	PROPN
m-1155	54	416	�	�	PROPN
m-1155	54	417	�	�	PROPN
m-1155	54	418	,	,	PUNCT
m-1155	54	419	�	�	PROPN
m-1155	54	420	�	�	PROPN
m-1155	54	421	,	,	PUNCT
m-1155	54	422	�	�	PROPN
m-1155	54	423	�	�	PROPN
m-1155	54	424	,	,	PUNCT
m-1155	54	425	�	�	PROPN
m-1155	54	426	�	�	PROPN
m-1155	54	427	�	�	PROPN
m-1155	54	428	,	,	PUNCT
m-1155	54	429	�	�	PROPN
m-1155	54	430	20	20	NUM
m-1155	54	431	,	,	PUNCT
m-1155	54	432	�	�	PROPN
m-1155	54	433	�	�	PROPN
m-1155	54	434	0	0	NUM
m-1155	54	435	,	,	PUNCT
m-1155	54	436	�	�	PROPN
m-1155	54	437	0	0	NUM
m-1155	54	438	�	�	PROPN
m-1155	54	439	in	in	ADP
m-1155	54	440	addition	addition	NOUN
m-1155	54	441	,	,	PUNCT
m-1155	54	442	we	we	PRON
m-1155	54	443	define	define	VERB
m-1155	54	444	ℒ	ℒ	NOUN
m-1155	54	445	:	:	PUNCT
m-1155	54	446	[	[	X
m-1155	54	447	0	0	X
m-1155	54	448	.	.	PUNCT
m-1155	54	449	�	�	PROPN
m-1155	54	450	�	�	PROPN
m-1155	54	451	�	�	PROPN
m-1155	54	452	�	�	PROPN
m-1155	54	453	]	]	X
m-1155	54	454	×	×	PROPN
m-1155	54	455	ℜ	ℜ	PROPN
m-1155	54	456	�	�	PROPN
m-1155	54	457	→	→	SYM
m-1155	54	458	ℜ	ℜ	PROPN
m-1155	54	459	�	�	PROPN
m-1155	54	460	is	be	AUX
m-1155	54	461	said	say	VERB
m-1155	54	462	to	to	PART
m-1155	54	463	satisfy	satisfy	VERB
m-1155	54	464	lipschitz	lipschitz	NOUN
m-1155	54	465	condition	condition	NOUN
m-1155	54	466	in	in	ADP
m-1155	54	467	the	the	DET
m-1155	54	468	second	second	ADJ
m-1155	54	469	argument	argument	NOUN
m-1155	54	470	,	,	PUNCT
m-1155	54	471	if	if	SCONJ
m-1155	54	472	we	we	PRON
m-1155	54	473	have	have	VERB
m-1155	54	474	:	:	PUNCT
m-1155	54	475	�	�	PROPN
m-1155	54	476	ℒ	ℒ	PROPN
m-1155	54	477	�	�	PROPN
m-1155	54	478	�	�	PROPN
m-1155	54	479	,	,	PUNCT
m-1155	54	480	�	�	PROPN
m-1155	54	481	�	�	PROPN
m-1155	54	482	�	�	PROPN
m-1155	54	483	−	−	PROPN
m-1155	54	484	ℒ	ℒ	PROPN
m-1155	54	485	�	�	PROPN
m-1155	54	486	�	�	PROPN
m-1155	54	487	,	,	PUNCT
m-1155	54	488	�	�	PROPN
m-1155	54	489	�	�	PROPN
m-1155	54	490	�	�	PROPN
m-1155	54	491	�	�	PROPN
m-1155	54	492	≤	≤	PROPN
m-1155	54	493	�	�	PROPN
m-1155	54	494	�	�	PROPN
m-1155	54	495	�	�	PROPN
m-1155	54	496	�	�	PROPN
m-1155	54	497	−	−	PROPN
m-1155	54	498	�	�	PROPN
m-1155	54	499	�	�	PROPN
m-1155	54	500	�	�	PROPN
m-1155	54	501	∀	∀	X
m-1155	54	502	�	�	PROPN
m-1155	54	503	∈	∈	PROPN
m-1155	54	504	[	[	X
m-1155	54	505	0	0	NUM
m-1155	54	506	,	,	PUNCT
m-1155	54	507	�	�	PROPN
m-1155	54	508	�	�	PROPN
m-1155	54	509	�	�	PROPN
m-1155	54	510	�	�	PROPN
m-1155	54	511	]	]	PART
m-1155	54	512	∀	∀	X
m-1155	54	513	�	�	PROPN
m-1155	54	514	�	�	PROPN
m-1155	54	515	�	�	PROPN
m-1155	54	516	,	,	PUNCT
m-1155	54	517	�	�	PROPN
m-1155	54	518	�	�	PROPN
m-1155	54	519	∈	∈	PROPN
m-1155	54	520	ℝ	ℝ	PROPN
m-1155	54	521	�	�	PROPN
m-1155	54	522	�	�	PROPN
m-1155	54	523	ℎ	ℎ	PROPN
m-1155	54	524	�	�	PROPN
m-1155	54	525	�	�	PROPN
m-1155	54	526	�	�	PROPN
m-1155	54	527	�	�	PROPN
m-1155	54	528	>	>	X
m-1155	54	529	0	0	PROPN
m-1155	54	530	,	,	PUNCT
m-1155	54	531	�	�	PROPN
m-1155	54	532	�	�	PROPN
m-1155	54	533	�	�	PROPN
m-1155	54	534	�	�	PROPN
m-1155	54	535	�	�	PROPN
m-1155	54	536	�	�	PROPN
m-1155	54	537	�	�	PROPN
m-1155	54	538	�	�	PROPN
m-1155	54	539	�	�	PROPN
m-1155	54	540	�	�	PROPN
m-1155	54	541	�	�	PROPN
m-1155	54	542	�	�	PROPN
m-1155	54	543	�	�	PROPN
m-1155	54	544	�	�	PROPN
m-1155	54	545	�	�	PROPN
m-1155	54	546	…	…	PUNCT
m-1155	54	547	…	…	PUNCT
m-1155	54	548	…	…	PUNCT
m-1155	54	549	…	…	PUNCT
m-1155	54	550	…	…	PUNCT
m-1155	54	551	…	…	PUNCT
m-1155	54	552	(	(	PUNCT
m-1155	54	553	3.11	3.11	NUM
m-1155	54	554	)	)	PUNCT
m-1155	54	555	the	the	DET
m-1155	54	556	existence	existence	NOUN
m-1155	54	557	of	of	ADP
m-1155	54	558	a	a	DET
m-1155	54	559	unique	unique	ADJ
m-1155	54	560	solution	solution	NOUN
m-1155	54	561	to	to	ADP
m-1155	54	562	the	the	DET
m-1155	54	563	model	model	NOUN
m-1155	54	564	(	(	PUNCT
m-1155	54	565	3.1	3.1	NUM
m-1155	54	566	)	)	PUNCT
m-1155	54	567	(	(	PUNCT
m-1155	54	568	3.8)is	3.8)is	NUM
m-1155	54	569	established	establish	VERB
m-1155	54	570	in	in	ADP
m-1155	54	571	the	the	DET
m-1155	54	572	following	following	NOUN
m-1155	54	573	theorem	theorem	NOUN
m-1155	54	574	:	:	PUNCT
m-1155	54	575	theorem	theorem	NOUN
m-1155	54	576	3.1	3.1	NUM
m-1155	54	577	.	.	PUNCT
m-1155	55	1	there	there	PRON
m-1155	55	2	exists	exist	VERB
m-1155	55	3	a	a	DET
m-1155	55	4	unique	unique	ADJ
m-1155	55	5	solution	solution	NOUN
m-1155	55	6	to	to	ADP
m-1155	55	7	the	the	DET
m-1155	55	8	initial	initial	ADJ
m-1155	55	9	value	value	NOUN
m-1155	55	10	problem	problem	NOUN
m-1155	55	11	(	(	PUNCT
m-1155	55	12	3.9	3.9	NUM
m-1155	55	13	)	)	PUNCT
m-1155	55	14	on	on	ADP
m-1155	55	15	�	�	PROPN
m-1155	55	16	(	(	PUNCT
m-1155	55	17	[	[	NOUN
m-1155	55	18	0	0	NUM
m-1155	55	19	,	,	PUNCT
m-1155	55	20	�	�	PROPN
m-1155	55	21	�	�	PROPN
m-1155	55	22	�	�	PROPN
m-1155	55	23	�	�	PROPN
m-1155	55	24	]	]	PUNCT
m-1155	55	25	,	,	PUNCT
m-1155	55	26	ℝ	ℝ	PROPN
m-1155	55	27	�	�	PROPN
m-1155	55	28	)	)	PUNCT
m-1155	55	29	,	,	PUNCT
m-1155	55	30	provided	provide	VERB
m-1155	55	31	that	that	SCONJ
m-1155	55	32	(	(	PUNCT
m-1155	55	33	3.11	3.11	NUM
m-1155	55	34	)	)	PUNCT
m-1155	55	35	and	and	CCONJ
m-1155	55	36	�	�	PROPN
m-1155	55	37	2(1	2(1	NUM
m-1155	55	38	−	−	PROPN
m-1155	55	39	�	�	SYM
m-1155	55	40	)	)	PUNCT
m-1155	55	41	�	�	PROPN
m-1155	55	42	(	(	PUNCT
m-1155	55	43	2	2	NUM
m-1155	55	44	−	−	PROPN
m-1155	55	45	�	�	SYM
m-1155	55	46	)	)	PUNCT
m-1155	55	47	ℱ	ℱ	PROPN
m-1155	55	48	(	(	PUNCT
m-1155	55	49	�	�	PROPN
m-1155	55	50	)	)	PUNCT
m-1155	55	51	+	+	CCONJ
m-1155	55	52	2	2	NUM
m-1155	55	53	�	�	PROPN
m-1155	55	54	�	�	PROPN
m-1155	55	55	(	(	PUNCT
m-1155	55	56	2	2	NUM
m-1155	55	57	−	−	PROPN
m-1155	55	58	�	�	SYM
m-1155	55	59	)	)	PUNCT
m-1155	55	60	ℱ	ℱ	PROPN
m-1155	55	61	(	(	PUNCT
m-1155	55	62	�	�	PROPN
m-1155	55	63	)	)	PUNCT
m-1155	55	64	�	�	PROPN
m-1155	55	65	�	�	PROPN
m-1155	55	66	�	�	PROPN
m-1155	55	67	�	�	PROPN
m-1155	55	68	�	�	PROPN
m-1155	55	69	<	<	X
m-1155	55	70	1	1	NUM
m-1155	55	71	…	…	PUNCT
m-1155	55	72	…	…	PUNCT
m-1155	55	73	…	…	PUNCT
m-1155	55	74	…	…	PUNCT
m-1155	55	75	…	…	PUNCT
m-1155	55	76	…	…	PUNCT
m-1155	55	77	.	.	PUNCT
m-1155	55	78	.	.	PUNCT
m-1155	56	1	(	(	PUNCT
m-1155	56	2	3.12	3.12	NUM
m-1155	56	3	)	)	PUNCT
m-1155	56	4	are	be	AUX
m-1155	56	5	satisfied	satisfied	ADJ
m-1155	56	6	.	.	PUNCT
m-1155	57	1	proof	proof	NOUN
m-1155	57	2	:	:	PUNCT
m-1155	57	3	if	if	SCONJ
m-1155	57	4	we	we	PRON
m-1155	57	5	apply	apply	VERB
m-1155	57	6	the	the	DET
m-1155	57	7	caputo	caputo	PROPN
m-1155	57	8	-	-	PUNCT
m-1155	57	9	fabrizio	fabrizio	PROPN
m-1155	57	10	fractional	fractional	ADJ
m-1155	57	11	integral	integral	ADJ
m-1155	57	12	on	on	ADP
m-1155	57	13	each	each	DET
m-1155	57	14	sides	side	NOUN
m-1155	57	15	of	of	ADP
m-1155	57	16	(	(	PUNCT
m-1155	57	17	3.9	3.9	NUM
m-1155	57	18	)	)	PUNCT
m-1155	57	19	,	,	PUNCT
m-1155	57	20	then	then	ADV
m-1155	57	21	we	we	PRON
m-1155	57	22	havethecaputo	havethecaputo	NOUN
m-1155	57	23	-	-	PUNCT
m-1155	57	24	fabrizio	fabrizio	NOUN
m-1155	57	25	time	time	NOUN
m-1155	57	26	-	-	PUNCT
m-1155	57	27	fractional	fractional	ADJ
m-1155	57	28	integral	integral	ADJ
m-1155	57	29	of	of	ADP
m-1155	57	30	the	the	DET
m-1155	57	31	function	function	NOUN
m-1155	57	32	�	�	PROPN
m-1155	57	33	(	(	PUNCT
m-1155	57	34	�	�	PROPN
m-1155	57	35	)	)	PUNCT
m-1155	57	36	of	of	ADP
m-1155	57	37	order	order	NOUN
m-1155	57	38	�	�	PROPN
m-1155	57	39	is	be	AUX
m-1155	57	40	defined	define	VERB
m-1155	57	41	by	by	ADP
m-1155	57	42	�	�	PROPN
m-1155	57	43	(	(	PUNCT
m-1155	57	44	�	�	PROPN
m-1155	57	45	)	)	PUNCT
m-1155	57	46	=	=	SYM
m-1155	57	47	�	�	PROPN
m-1155	57	48	�	�	PROPN
m-1155	57	49	+	+	CCONJ
m-1155	57	50	2(1	2(1	NUM
m-1155	57	51	−	−	NOUN
m-1155	57	52	�	�	PROPN
m-1155	57	53	)	)	PUNCT
m-1155	57	54	(	(	PUNCT
m-1155	57	55	2	2	NUM
m-1155	57	56	−	−	PROPN
m-1155	57	57	�	�	SYM
m-1155	57	58	)	)	PUNCT
m-1155	57	59	ℱ	ℱ	PROPN
m-1155	57	60	(	(	PUNCT
m-1155	57	61	�	�	PROPN
m-1155	57	62	)	)	PUNCT
m-1155	57	63	�	�	PROPN
m-1155	57	64	(	(	PUNCT
m-1155	57	65	�	�	PROPN
m-1155	57	66	,	,	PUNCT
m-1155	57	67	�	�	PROPN
m-1155	57	68	)	)	PUNCT
m-1155	57	69	+	+	CCONJ
m-1155	57	70	2	2	NUM
m-1155	57	71	�	�	NOUN
m-1155	57	72	(	(	PUNCT
m-1155	57	73	2	2	NUM
m-1155	57	74	−	−	PROPN
m-1155	57	75	�	�	SYM
m-1155	57	76	)	)	PUNCT
m-1155	57	77	ℱ	ℱ	PROPN
m-1155	57	78	(	(	PUNCT
m-1155	57	79	�	�	PROPN
m-1155	57	80	)	)	PUNCT
m-1155	57	81	�	�	PROPN
m-1155	57	82	ℒ	ℒ	PROPN
m-1155	57	83	(	(	PUNCT
m-1155	57	84	�	�	PROPN
m-1155	57	85	,	,	PUNCT
m-1155	57	86	�	�	PROPN
m-1155	57	87	(	(	PUNCT
m-1155	57	88	�	�	NOUN
m-1155	57	89	)	)	PUNCT
m-1155	57	90	�	�	PROPN
m-1155	57	91	�	�	PROPN
m-1155	57	92	�	�	PROPN
m-1155	57	93	0	0	NUM
m-1155	57	94	(	(	PUNCT
m-1155	57	95	3.13	3.13	NUM
m-1155	57	96	)	)	PUNCT
m-1155	57	97	let	let	VERB
m-1155	57	98	us	we	PRON
m-1155	57	99	defined	define	VERB
m-1155	57	100	the	the	DET
m-1155	57	101	operator	operator	NOUN
m-1155	57	102	κ	κ	NOUN
m-1155	57	103	:	:	PUNCT
m-1155	57	104	�	�	PROPN
m-1155	57	105	(	(	PUNCT
m-1155	57	106	[	[	NOUN
m-1155	57	107	0	0	NUM
m-1155	57	108	,	,	PUNCT
m-1155	57	109	�	�	PROPN
m-1155	57	110	�	�	PROPN
m-1155	57	111	�	�	PROPN
m-1155	57	112	�	�	PROPN
m-1155	57	113	]	]	PUNCT
m-1155	57	114	,	,	PUNCT
m-1155	57	115	ℝ	ℝ	PROPN
m-1155	57	116	�	�	PROPN
m-1155	57	117	)	)	PUNCT
m-1155	57	118	→	→	SYM
m-1155	57	119	�	�	PROPN
m-1155	57	120	(	(	PUNCT
m-1155	57	121	[	[	NOUN
m-1155	57	122	0	0	NUM
m-1155	57	123	,	,	PUNCT
m-1155	57	124	�	�	PROPN
m-1155	57	125	�	�	PROPN
m-1155	57	126	�	�	PROPN
m-1155	57	127	�	�	PROPN
m-1155	57	128	]	]	PUNCT
m-1155	57	129	,	,	PUNCT
m-1155	57	130	ℝ	ℝ	PROPN
m-1155	57	131	�	�	PROPN
m-1155	57	132	)	)	PUNCT
m-1155	57	133	by	by	ADP
m-1155	57	134	ijo	ijo	PROPN
m-1155	57	135	journals	journal	NOUN
m-1155	57	136	volume	volume	NOUN
m-1155	57	137	08	08	NUM
m-1155	58	1	|	|	ADV
m-1155	58	2	issue	issue	NOUN
m-1155	58	3	09	09	NUM
m-1155	58	4	|	|	ADV
m-1155	58	5	september	september	PROPN
m-1155	58	6	2025	2025	NUM
m-1155	59	1	|	|	ADV
m-1155	59	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-1155	59	3	44	44	NUM
m-1155	59	4	ijo	ijo	PROPN
m-1155	59	5	international	international	PROPN
m-1155	59	6	journal	journal	PROPN
m-1155	59	7	of	of	ADP
m-1155	59	8	mathematics	mathematics	PROPN
m-1155	59	9	(	(	PUNCT
m-1155	59	10	issn	issn	PROPN
m-1155	59	11	:	:	PUNCT
m-1155	59	12	2992	2992	NUM
m-1155	59	13	-	-	SYM
m-1155	59	14	4421	4421	NUM
m-1155	59	15	)	)	PUNCT
m-1155	60	1	thomas	thomas	PROPN
m-1155	60	2	,	,	PUNCT
m-1155	60	3	henry	henry	PROPN
m-1155	60	4	sylvester	sylvester	PROPN
m-1155	60	5	*	*	PUNCT
m-1155	60	6	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-1155	60	7	volume	volume	NOUN
m-1155	60	8	08	08	NUM
m-1155	60	9	||	||	PROPN
m-1155	60	10	issue	issue	NOUN
m-1155	60	11	09	09	NUM
m-1155	60	12	||	||	NOUN
m-1155	60	13	september	september	PROPN
m-1155	60	14	,	,	PUNCT
m-1155	60	15	2025	2025	NUM
m-1155	60	16	||	||	PUNCT
m-1155	61	1	“	"	PUNCT
m-1155	61	2	caputo	caputo	PROPN
m-1155	61	3	-	-	PUNCT
m-1155	61	4	fabrizio	fabrizio	PROPN
m-1155	61	5	fractional	fractional	ADJ
m-1155	61	6	drivatives	drivative	NOUN
m-1155	61	7	of	of	ADP
m-1155	61	8	age	age	NOUN
m-1155	61	9	-	-	PUNCT
m-1155	61	10	structured	structure	VERB
m-1155	61	11	dipptheria	dipptheria	NOUN
m-1155	61	12	infection	infection	NOUN
m-1155	61	13	model	model	NOUN
m-1155	61	14	with	with	ADP
m-1155	61	15	laplace	laplace	NOUN
m-1155	61	16	adomian	adomian	NOUN
m-1155	61	17	decomposition	decomposition	NOUN
m-1155	61	18	analysis	analysis	NOUN
m-1155	61	19	"	"	PUNCT
m-1155	61	20	κ	κ	X
m-1155	61	21	[	[	X
m-1155	61	22	�	�	X
m-1155	61	23	]	]	X
m-1155	61	24	(	(	PUNCT
m-1155	61	25	�	�	NOUN
m-1155	61	26	)	)	PUNCT
m-1155	61	27	=	=	SYM
m-1155	61	28	�	�	PROPN
m-1155	61	29	(	(	PUNCT
m-1155	61	30	�	�	PROPN
m-1155	61	31	)	)	PUNCT
m-1155	61	32	,	,	PUNCT
m-1155	61	33	�	�	PROPN
m-1155	61	34	,	,	PUNCT
m-1155	61	35	v	v	PROPN
m-1155	61	36	∈	∈	PROPN
m-1155	61	37	�	�	PROPN
m-1155	61	38	�	�	PROPN
m-1155	61	39	[	[	X
m-1155	61	40	0	0	NUM
m-1155	61	41	,	,	PUNCT
m-1155	61	42	�	�	PROPN
m-1155	61	43	�	�	PROPN
m-1155	61	44	�	�	PROPN
m-1155	61	45	�	�	PROPN
m-1155	61	46	]	]	PUNCT
m-1155	61	47	,	,	PUNCT
m-1155	61	48	ℝ	ℝ	PROPN
m-1155	61	49	�	�	PROPN
m-1155	61	50	�	�	PROPN
m-1155	61	51	(	(	PUNCT
m-1155	61	52	3.14	3.14	NUM
m-1155	61	53	)	)	PUNCT
m-1155	61	54	where	where	SCONJ
m-1155	61	55	�	�	PROPN
m-1155	61	56	(	(	PUNCT
m-1155	61	57	�	�	PROPN
m-1155	61	58	)	)	PUNCT
m-1155	61	59	=	=	SYM
m-1155	61	60	�	�	NOUN
m-1155	61	61	0	0	NUM
m-1155	61	62	+	+	NUM
m-1155	61	63	2(1	2(1	NUM
m-1155	61	64	−	−	NOUN
m-1155	61	65	�	�	PROPN
m-1155	61	66	)	)	PUNCT
m-1155	61	67	(	(	PUNCT
m-1155	61	68	2	2	NUM
m-1155	61	69	−	−	PROPN
m-1155	61	70	�	�	SYM
m-1155	61	71	)	)	PUNCT
m-1155	61	72	ℱ	ℱ	PROPN
m-1155	61	73	(	(	PUNCT
m-1155	61	74	�	�	PROPN
m-1155	61	75	)	)	PUNCT
m-1155	61	76	�	�	PROPN
m-1155	61	77	(	(	PUNCT
m-1155	61	78	�	�	PROPN
m-1155	61	79	,	,	PUNCT
m-1155	61	80	�	�	PROPN
m-1155	61	81	)	)	PUNCT
m-1155	61	82	+	+	CCONJ
m-1155	61	83	2	2	NUM
m-1155	61	84	�	�	NOUN
m-1155	61	85	(	(	PUNCT
m-1155	61	86	2	2	NUM
m-1155	61	87	−	−	PROPN
m-1155	61	88	�	�	SYM
m-1155	61	89	)	)	PUNCT
m-1155	61	90	ℱ	ℱ	PROPN
m-1155	61	91	(	(	PUNCT
m-1155	61	92	�	�	PROPN
m-1155	61	93	)	)	PUNCT
m-1155	61	94	�	�	PROPN
m-1155	61	95	ℒ	ℒ	PROPN
m-1155	61	96	(	(	PUNCT
m-1155	61	97	�	�	PROPN
m-1155	61	98	,	,	PUNCT
m-1155	61	99	�	�	PROPN
m-1155	61	100	(	(	PUNCT
m-1155	61	101	�	�	NOUN
m-1155	61	102	)	)	PUNCT
m-1155	61	103	�	�	PROPN
m-1155	61	104	�	�	PROPN
m-1155	61	105	�	�	PROPN
m-1155	61	106	�	�	PROPN
m-1155	61	107	the	the	DET
m-1155	61	108	supremum	supremum	ADJ
m-1155	61	109	norm	norm	NOUN
m-1155	61	110	on	on	ADP
m-1155	61	111	�	�	PROPN
m-1155	61	112	�	�	PROPN
m-1155	61	113	[	[	X
m-1155	61	114	0	0	NUM
m-1155	61	115	,	,	PUNCT
m-1155	61	116	�	�	PROPN
m-1155	61	117	�	�	PROPN
m-1155	61	118	�	�	PROPN
m-1155	61	119	�	�	PROPN
m-1155	61	120	]	]	PUNCT
m-1155	61	121	,	,	PUNCT
m-1155	61	122	ℝ	ℝ	PROPN
m-1155	61	123	�	�	PROPN
m-1155	61	124	�	�	PROPN
m-1155	61	125	is	be	AUX
m-1155	61	126	given	give	VERB
m-1155	61	127	by	by	ADP
m-1155	61	128	:	:	PUNCT
m-1155	61	129	‖	‖	PROPN
m-1155	61	130	�	�	PROPN
m-1155	61	131	(	(	PUNCT
m-1155	61	132	�	�	PROPN
m-1155	61	133	)‖	)‖	PROPN
m-1155	61	134	=	=	SYM
m-1155	61	135	‖	‖	PROPN
m-1155	61	136	�	�	PROPN
m-1155	61	137	(	(	PUNCT
m-1155	61	138	�	�	PROPN
m-1155	61	139	)‖	)‖	PROPN
m-1155	61	140	�	�	PROPN
m-1155	61	141	∈	∈	PROPN
m-1155	61	142	[	[	X
m-1155	61	143	�	�	PROPN
m-1155	61	144	,	,	PUNCT
m-1155	61	145	�	�	PROPN
m-1155	61	146	�	�	PROPN
m-1155	61	147	�	�	PROPN
m-1155	61	148	�	�	PROPN
m-1155	61	149	]	]	PUNCT
m-1155	61	150	�	�	PROPN
m-1155	61	151	�	�	PROPN
m-1155	61	152	�	�	PROPN
m-1155	61	153	,	,	PUNCT
m-1155	61	154	∀	∀	NUM
m-1155	61	155	�	�	PROPN
m-1155	61	156	∈	∈	PROPN
m-1155	61	157	�	�	PROPN
m-1155	61	158	(	(	PUNCT
m-1155	61	159	[	[	NOUN
m-1155	61	160	0	0	NUM
m-1155	61	161	,	,	PUNCT
m-1155	61	162	�	�	PROPN
m-1155	61	163	�	�	PROPN
m-1155	61	164	�	�	PROPN
m-1155	61	165	�	�	PROPN
m-1155	61	166	]	]	PUNCT
m-1155	61	167	,	,	PUNCT
m-1155	61	168	ℝ	ℝ	PROPN
m-1155	61	169	�	�	PROPN
m-1155	61	170	)	)	PUNCT
m-1155	61	171	clearly	clearly	ADV
m-1155	61	172	,	,	PUNCT
m-1155	61	173	�	�	PROPN
m-1155	61	174	(	(	PUNCT
m-1155	61	175	[	[	NOUN
m-1155	61	176	0	0	NUM
m-1155	61	177	,	,	PUNCT
m-1155	61	178	�	�	PROPN
m-1155	61	179	�	�	PROPN
m-1155	61	180	�	�	PROPN
m-1155	61	181	�	�	PROPN
m-1155	61	182	]	]	PUNCT
m-1155	61	183	,	,	PUNCT
m-1155	61	184	ℝ	ℝ	PROPN
m-1155	61	185	�	�	PROPN
m-1155	61	186	)	)	PUNCT
m-1155	61	187	equipped	equip	VERB
m-1155	61	188	with	with	ADP
m-1155	61	189	‖.	‖.	PROPN
m-1155	61	190	‖	‖	PROPN
m-1155	61	191	is	be	AUX
m-1155	61	192	a	a	DET
m-1155	61	193	banach	banach	NOUN
m-1155	61	194	space	space	NOUN
m-1155	61	195	.	.	PUNCT
m-1155	62	1	suppose	suppose	VERB
m-1155	62	2	,	,	PUNCT
m-1155	62	3	℘	℘	PROPN
m-1155	62	4	is	be	AUX
m-1155	62	5	the	the	DET
m-1155	62	6	fixed	fix	VERB
m-1155	62	7	point	point	NOUN
m-1155	62	8	of	of	ADP
m-1155	62	9	the	the	DET
m-1155	62	10	operator	operator	NOUN
m-1155	62	11	κ	κ	NOUN
m-1155	62	12	:	:	PUNCT
m-1155	62	13	�	�	PROPN
m-1155	62	14	(	(	PUNCT
m-1155	62	15	[	[	NOUN
m-1155	62	16	0	0	NUM
m-1155	62	17	,	,	PUNCT
m-1155	62	18	�	�	PROPN
m-1155	62	19	�	�	PROPN
m-1155	62	20	�	�	PROPN
m-1155	62	21	�	�	PROPN
m-1155	62	22	]	]	PUNCT
m-1155	62	23	,	,	PUNCT
m-1155	62	24	ℝ	ℝ	PROPN
m-1155	62	25	�	�	PROPN
m-1155	62	26	)	)	PUNCT
m-1155	62	27	→	→	SYM
m-1155	62	28	�	�	PROPN
m-1155	62	29	(	(	PUNCT
m-1155	62	30	[	[	NOUN
m-1155	62	31	0	0	NUM
m-1155	62	32	,	,	PUNCT
m-1155	62	33	�	�	PROPN
m-1155	62	34	�	�	PROPN
m-1155	62	35	�	�	PROPN
m-1155	62	36	�	�	PROPN
m-1155	62	37	]	]	PUNCT
m-1155	62	38	,	,	PUNCT
m-1155	62	39	ℝ	ℝ	PROPN
m-1155	62	40	�	�	PROPN
m-1155	62	41	)	)	PUNCT
m-1155	62	42	,	,	PUNCT
m-1155	62	43	then	then	ADV
m-1155	62	44	℘	℘	PROPN
m-1155	62	45	becomes	become	VERB
m-1155	62	46	the	the	DET
m-1155	62	47	solution	solution	NOUN
m-1155	62	48	of	of	ADP
m-1155	62	49	the	the	DET
m-1155	62	50	initial	initial	ADJ
m-1155	62	51	value	value	NOUN
m-1155	62	52	problem	problem	NOUN
m-1155	62	53	(	(	PUNCT
m-1155	62	54	3.9	3.9	NUM
m-1155	62	55	)	)	PUNCT
m-1155	62	56	,	,	PUNCT
m-1155	62	57	and	and	CCONJ
m-1155	63	1	κ℘	κ℘	PROPN
m-1155	63	2	(	(	PUNCT
m-1155	63	3	�	�	PROPN
m-1155	63	4	)	)	PUNCT
m-1155	63	5	=	=	SYM
m-1155	63	6	℘	℘	PROPN
m-1155	63	7	(	(	PUNCT
m-1155	63	8	�	�	PROPN
m-1155	63	9	)	)	PUNCT
m-1155	64	1	where	where	SCONJ
m-1155	64	2	℘	℘	PROPN
m-1155	64	3	(	(	PUNCT
m-1155	64	4	�	�	NOUN
m-1155	64	5	)	)	PUNCT
m-1155	64	6	=	=	SYM
m-1155	64	7	�	�	NOUN
m-1155	64	8	0	0	NUM
m-1155	64	9	+	+	NUM
m-1155	64	10	2(1	2(1	NUM
m-1155	64	11	−	−	NOUN
m-1155	64	12	�	�	PROPN
m-1155	64	13	)	)	PUNCT
m-1155	64	14	(	(	PUNCT
m-1155	64	15	2	2	NUM
m-1155	64	16	−	−	PROPN
m-1155	64	17	�	�	SYM
m-1155	64	18	)	)	PUNCT
m-1155	64	19	ℱ	ℱ	PROPN
m-1155	64	20	(	(	PUNCT
m-1155	64	21	�	�	PROPN
m-1155	64	22	)	)	PUNCT
m-1155	64	23	ℒ	ℒ	PROPN
m-1155	64	24	(	(	PUNCT
m-1155	64	25	�	�	PROPN
m-1155	64	26	,	,	PUNCT
m-1155	64	27	℘(t	℘(t	NOUN
m-1155	64	28	)	)	PUNCT
m-1155	64	29	)	)	PUNCT
m-1155	64	30	+	+	CCONJ
m-1155	64	31	2	2	NUM
m-1155	64	32	�	�	NOUN
m-1155	64	33	(	(	PUNCT
m-1155	64	34	2	2	NUM
m-1155	64	35	−	−	PROPN
m-1155	64	36	�	�	SYM
m-1155	64	37	)	)	PUNCT
m-1155	64	38	ℱ	ℱ	PROPN
m-1155	64	39	(	(	PUNCT
m-1155	64	40	�	�	PROPN
m-1155	64	41	)	)	PUNCT
m-1155	64	42	�	�	PROPN
m-1155	64	43	ℒ	ℒ	PROPN
m-1155	64	44	(	(	PUNCT
m-1155	64	45	�	�	PROPN
m-1155	64	46	,	,	PUNCT
m-1155	64	47	℘	℘	PROPN
m-1155	64	48	(	(	PUNCT
m-1155	64	49	�	�	NOUN
m-1155	64	50	)	)	PUNCT
m-1155	64	51	�	�	PROPN
m-1155	64	52	�	�	PROPN
m-1155	64	53	�	�	PROPN
m-1155	64	54	�	�	PROPN
m-1155	64	55	consider	consider	VERB
m-1155	64	56	‖k	‖k	NOUN
m-1155	64	57	[	[	X
m-1155	64	58	�	�	X
m-1155	64	59	]	]	X
m-1155	64	60	(	(	PUNCT
m-1155	64	61	�	�	PROPN
m-1155	64	62	)	)	PUNCT
m-1155	64	63	−	−	PROPN
m-1155	64	64	k[℘](	k[℘](	PROPN
m-1155	64	65	�	�	PROPN
m-1155	64	66	)‖	)‖	PROPN
m-1155	64	67	=	=	SYM
m-1155	64	68	�	�	PROPN
m-1155	64	69	�	�	PROPN
m-1155	64	70	0	0	NUM
m-1155	65	1	+	+	NUM
m-1155	65	2	2(1	2(1	NUM
m-1155	65	3	−	−	NOUN
m-1155	65	4	�	�	PROPN
m-1155	65	5	)	)	PUNCT
m-1155	65	6	(	(	PUNCT
m-1155	65	7	2	2	NUM
m-1155	65	8	−	−	PROPN
m-1155	65	9	�	�	SYM
m-1155	65	10	)	)	PUNCT
m-1155	65	11	ℱ	ℱ	PROPN
m-1155	65	12	(	(	PUNCT
m-1155	65	13	�	�	PROPN
m-1155	65	14	)	)	PUNCT
m-1155	65	15	ℒ	ℒ	PROPN
m-1155	65	16	(	(	PUNCT
m-1155	65	17	�	�	PROPN
m-1155	65	18	,	,	PUNCT
m-1155	65	19	v(t	v(t	NOUN
m-1155	65	20	)	)	PUNCT
m-1155	65	21	)	)	PUNCT
m-1155	66	1	+	+	CCONJ
m-1155	66	2	2	2	NUM
m-1155	66	3	�	�	NOUN
m-1155	66	4	(	(	PUNCT
m-1155	66	5	2	2	NUM
m-1155	66	6	−	−	PROPN
m-1155	66	7	�	�	SYM
m-1155	66	8	)	)	PUNCT
m-1155	66	9	ℱ	ℱ	PROPN
m-1155	66	10	(	(	PUNCT
m-1155	66	11	�	�	PROPN
m-1155	66	12	)	)	PUNCT
m-1155	66	13	�	�	PROPN
m-1155	66	14	ℒ	ℒ	PROPN
m-1155	66	15	(	(	PUNCT
m-1155	66	16	�	�	PROPN
m-1155	66	17	,	,	PUNCT
m-1155	66	18	�	�	PROPN
m-1155	66	19	(	(	PUNCT
m-1155	66	20	�	�	NOUN
m-1155	66	21	)	)	PUNCT
m-1155	66	22	�	�	PROPN
m-1155	66	23	�	�	PROPN
m-1155	66	24	�	�	PROPN
m-1155	66	25	�	�	PROPN
m-1155	66	26	−	−	PROPN
m-1155	66	27	�	�	PROPN
m-1155	66	28	�	�	PROPN
m-1155	66	29	0	0	NUM
m-1155	66	30	+	+	NUM
m-1155	66	31	2(1	2(1	NUM
m-1155	66	32	−	−	NOUN
m-1155	66	33	�	�	PROPN
m-1155	66	34	)	)	PUNCT
m-1155	66	35	(	(	PUNCT
m-1155	66	36	2	2	NUM
m-1155	66	37	−	−	PROPN
m-1155	66	38	�	�	SYM
m-1155	66	39	)	)	PUNCT
m-1155	66	40	ℱ	ℱ	PROPN
m-1155	66	41	(	(	PUNCT
m-1155	66	42	�	�	PROPN
m-1155	66	43	)	)	PUNCT
m-1155	66	44	ℒ	ℒ	PROPN
m-1155	66	45	(	(	PUNCT
m-1155	66	46	�	�	PROPN
m-1155	66	47	,	,	PUNCT
m-1155	66	48	℘(t	℘(t	NOUN
m-1155	66	49	)	)	PUNCT
m-1155	66	50	)	)	PUNCT
m-1155	67	1	+	+	CCONJ
m-1155	67	2	2	2	NUM
m-1155	67	3	�	�	NOUN
m-1155	67	4	(	(	PUNCT
m-1155	67	5	2	2	NUM
m-1155	67	6	−	−	PROPN
m-1155	67	7	�	�	SYM
m-1155	67	8	)	)	PUNCT
m-1155	67	9	ℱ	ℱ	PROPN
m-1155	67	10	(	(	PUNCT
m-1155	67	11	�	�	PROPN
m-1155	67	12	)	)	PUNCT
m-1155	67	13	�	�	PROPN
m-1155	67	14	ℒ	ℒ	PROPN
m-1155	67	15	(	(	PUNCT
m-1155	67	16	�	�	PROPN
m-1155	67	17	,	,	PUNCT
m-1155	67	18	℘	℘	PROPN
m-1155	67	19	(	(	PUNCT
m-1155	67	20	�	�	NOUN
m-1155	67	21	)	)	PUNCT
m-1155	67	22	�	�	PROPN
m-1155	67	23	�	�	PROPN
m-1155	67	24	�	�	PROPN
m-1155	67	25	�	�	PROPN
m-1155	67	26	�	�	PROPN
m-1155	67	27	�	�	PROPN
m-1155	67	28	‖k	‖k	PROPN
m-1155	67	29	[	[	X
m-1155	67	30	�	�	NOUN
m-1155	67	31	]	]	X
m-1155	67	32	(	(	PUNCT
m-1155	67	33	�	�	PROPN
m-1155	67	34	)	)	PUNCT
m-1155	67	35	−	−	PROPN
m-1155	67	36	k[℘](	k[℘](	PROPN
m-1155	67	37	�	�	PROPN
m-1155	67	38	)‖	)‖	PROPN
m-1155	67	39	≤	≤	PROPN
m-1155	67	40	�	�	PROPN
m-1155	67	41	2(1	2(1	NUM
m-1155	67	42	−	−	PROPN
m-1155	67	43	�	�	PROPN
m-1155	67	44	)	)	PUNCT
m-1155	67	45	(	(	PUNCT
m-1155	67	46	2	2	NUM
m-1155	67	47	−	−	PROPN
m-1155	67	48	�	�	SYM
m-1155	67	49	)	)	PUNCT
m-1155	67	50	ℱ	ℱ	PROPN
m-1155	67	51	(	(	PUNCT
m-1155	67	52	�	�	PROPN
m-1155	67	53	)	)	PUNCT
m-1155	67	54	1	1	NUM
m-1155	67	55	γ	γ	X
m-1155	67	56	(	(	PUNCT
m-1155	67	57	�	�	NOUN
m-1155	67	58	)	)	PUNCT
m-1155	67	59	�	�	PROPN
m-1155	67	60	ℒ	ℒ	PROPN
m-1155	67	61	�	�	PROPN
m-1155	67	62	�	�	PROPN
m-1155	67	63	,	,	PUNCT
m-1155	67	64	v(t	v(t	NOUN
m-1155	67	65	)	)	PUNCT
m-1155	67	66	�	�	PROPN
m-1155	67	67	−	−	PROPN
m-1155	67	68	ℒ	ℒ	PROPN
m-1155	67	69	�	�	PROPN
m-1155	67	70	�	�	PROPN
m-1155	67	71	,	,	PUNCT
m-1155	67	72	℘(t	℘(t	PROPN
m-1155	67	73	)	)	PUNCT
m-1155	67	74	�	�	PROPN
m-1155	67	75	�	�	PROPN
m-1155	67	76	+	+	CCONJ
m-1155	67	77	2	2	NUM
m-1155	67	78	�	�	PROPN
m-1155	67	79	(	(	PUNCT
m-1155	67	80	2	2	NUM
m-1155	67	81	−	−	PROPN
m-1155	67	82	�	�	SYM
m-1155	67	83	)	)	PUNCT
m-1155	67	84	ℱ	ℱ	PROPN
m-1155	67	85	(	(	PUNCT
m-1155	67	86	�	�	PROPN
m-1155	67	87	)	)	PUNCT
m-1155	67	88	�	�	PROPN
m-1155	67	89	[	[	PUNCT
m-1155	67	90	ℒ	ℒ	PROPN
m-1155	67	91	(	(	PUNCT
m-1155	67	92	�	�	PROPN
m-1155	67	93	,	,	PUNCT
m-1155	67	94	�	�	PROPN
m-1155	67	95	(	(	PUNCT
m-1155	67	96	�	�	PROPN
m-1155	67	97	)	)	PUNCT
m-1155	67	98	−	−	PROPN
m-1155	67	99	ℒ	ℒ	PROPN
m-1155	67	100	(	(	PUNCT
m-1155	67	101	�	�	PROPN
m-1155	67	102	,	,	PUNCT
m-1155	67	103	℘	℘	PROPN
m-1155	67	104	(	(	PUNCT
m-1155	67	105	�	�	PROPN
m-1155	67	106	)	)	PUNCT
m-1155	67	107	]	]	PUNCT
m-1155	67	108	�	�	PROPN
m-1155	67	109	�	�	PROPN
m-1155	67	110	�	�	PROPN
m-1155	67	111	�	�	PROPN
m-1155	67	112	�	�	PROPN
m-1155	67	113	ijo	ijo	PROPN
m-1155	67	114	journals	journal	NOUN
m-1155	67	115	volume	volume	NOUN
m-1155	67	116	08	08	NUM
m-1155	68	1	|	|	ADV
m-1155	68	2	issue	issue	NOUN
m-1155	68	3	09	09	NUM
m-1155	68	4	|	|	ADV
m-1155	68	5	september	september	PROPN
m-1155	68	6	2025	2025	NUM
m-1155	69	1	|	|	ADV
m-1155	69	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-1155	69	3	45	45	NUM
m-1155	69	4	ijo	ijo	PROPN
m-1155	69	5	international	international	ADJ
m-1155	69	6	journal	journal	PROPN
m-1155	69	7	of	of	ADP
m-1155	69	8	mathematics	mathematics	PROPN
m-1155	69	9	(	(	PUNCT
m-1155	69	10	issn	issn	PROPN
m-1155	69	11	:	:	PUNCT
m-1155	69	12	2992	2992	NUM
m-1155	69	13	-	-	SYM
m-1155	69	14	4421	4421	NUM
m-1155	69	15	)	)	PUNCT
m-1155	69	16	thomas	thomas	PROPN
m-1155	69	17	,	,	PUNCT
m-1155	70	1	henry	henry	PROPN
m-1155	70	2	sylvester	sylvester	PROPN
m-1155	70	3	*	*	PUNCT
m-1155	70	4	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-1155	70	5	volume	volume	NOUN
m-1155	70	6	08	08	NUM
m-1155	70	7	||	||	PROPN
m-1155	70	8	issue	issue	NOUN
m-1155	70	9	09	09	NUM
m-1155	70	10	||	||	NOUN
m-1155	70	11	september	september	PROPN
m-1155	70	12	,	,	PUNCT
m-1155	70	13	2025	2025	NUM
m-1155	70	14	||	||	PUNCT
m-1155	71	1	“	"	PUNCT
m-1155	71	2	caputo	caputo	PROPN
m-1155	71	3	-	-	PUNCT
m-1155	71	4	fabrizio	fabrizio	PROPN
m-1155	71	5	fractional	fractional	ADJ
m-1155	71	6	drivatives	drivative	NOUN
m-1155	71	7	of	of	ADP
m-1155	71	8	age	age	NOUN
m-1155	71	9	-	-	PUNCT
m-1155	71	10	structured	structure	VERB
m-1155	71	11	dipptheria	dipptheria	NOUN
m-1155	71	12	infection	infection	NOUN
m-1155	71	13	model	model	NOUN
m-1155	71	14	with	with	ADP
m-1155	71	15	laplace	laplace	NOUN
m-1155	71	16	adomian	adomian	NOUN
m-1155	71	17	decomposition	decomposition	NOUN
m-1155	71	18	analysis	analysis	NOUN
m-1155	71	19	"	"	PUNCT
m-1155	71	20	≤	≤	NUM
m-1155	71	21	2(1	2(1	NUM
m-1155	71	22	−	−	NOUN
m-1155	71	23	�	�	PROPN
m-1155	71	24	)	)	PUNCT
m-1155	71	25	(	(	PUNCT
m-1155	71	26	2	2	NUM
m-1155	71	27	−	−	PROPN
m-1155	71	28	�	�	SYM
m-1155	71	29	)	)	PUNCT
m-1155	71	30	ℱ	ℱ	PROPN
m-1155	71	31	(	(	PUNCT
m-1155	71	32	�	�	PROPN
m-1155	71	33	)	)	PUNCT
m-1155	71	34	�	�	PROPN
m-1155	71	35	�	�	PROPN
m-1155	71	36	ℒ	ℒ	PROPN
m-1155	71	37	�	�	PROPN
m-1155	71	38	�	�	PROPN
m-1155	71	39	,	,	PUNCT
m-1155	71	40	v(t	v(t	NOUN
m-1155	71	41	)	)	PUNCT
m-1155	71	42	�	�	PROPN
m-1155	71	43	−	−	PROPN
m-1155	71	44	ℒ	ℒ	PROPN
m-1155	71	45	�	�	PROPN
m-1155	71	46	�	�	PROPN
m-1155	71	47	,	,	PUNCT
m-1155	71	48	℘(t	℘(t	PROPN
m-1155	71	49	)	)	PUNCT
m-1155	71	50	�	�	PROPN
m-1155	71	51	�	�	PROPN
m-1155	71	52	�	�	PROPN
m-1155	71	53	+	+	CCONJ
m-1155	71	54	2	2	NUM
m-1155	71	55	�	�	PROPN
m-1155	71	56	(	(	PUNCT
m-1155	71	57	2	2	NUM
m-1155	71	58	−	−	PROPN
m-1155	71	59	�	�	SYM
m-1155	71	60	)	)	PUNCT
m-1155	71	61	ℱ	ℱ	PROPN
m-1155	71	62	(	(	PUNCT
m-1155	71	63	�	�	PROPN
m-1155	71	64	)	)	PUNCT
m-1155	71	65	�	�	PROPN
m-1155	71	66	�	�	PROPN
m-1155	71	67	[	[	PUNCT
m-1155	71	68	ℒ	ℒ	PROPN
m-1155	71	69	(	(	PUNCT
m-1155	71	70	�	�	PROPN
m-1155	71	71	,	,	PUNCT
m-1155	71	72	�	�	PROPN
m-1155	71	73	(	(	PUNCT
m-1155	71	74	�	�	PROPN
m-1155	71	75	)	)	PUNCT
m-1155	71	76	−	−	PROPN
m-1155	71	77	ℒ	ℒ	PROPN
m-1155	71	78	(	(	PUNCT
m-1155	71	79	�	�	PROPN
m-1155	71	80	,	,	PUNCT
m-1155	71	81	℘	℘	PROPN
m-1155	71	82	(	(	PUNCT
m-1155	71	83	�	�	PROPN
m-1155	71	84	)	)	PUNCT
m-1155	71	85	]	]	PUNCT
m-1155	71	86	�	�	PROPN
m-1155	71	87	�	�	PROPN
m-1155	71	88	�	�	PROPN
m-1155	71	89	�	�	PROPN
m-1155	71	90	�	�	PROPN
m-1155	71	91	(	(	PUNCT
m-1155	71	92	3.15	3.15	NUM
m-1155	71	93	)	)	PUNCT
m-1155	71	94	since	since	SCONJ
m-1155	71	95	the	the	DET
m-1155	71	96	operator	operator	NOUN
m-1155	71	97	ℒsatisfies	ℒsatisfie	VERB
m-1155	71	98	the	the	DET
m-1155	71	99	lipschitz	lipschitz	NOUN
m-1155	71	100	condition	condition	NOUN
m-1155	71	101	(	(	PUNCT
m-1155	71	102	eq	eq	NOUN
m-1155	71	103	.	.	PROPN
m-1155	71	104	3.11	3.11	NUM
m-1155	71	105	)	)	PUNCT
m-1155	71	106	,	,	PUNCT
m-1155	71	107	we	we	PRON
m-1155	71	108	have	have	VERB
m-1155	71	109	that	that	DET
m-1155	71	110	‖k	‖k	NOUN
m-1155	71	111	[	[	X
m-1155	71	112	�	�	NOUN
m-1155	71	113	]	]	X
m-1155	71	114	(	(	PUNCT
m-1155	71	115	�	�	PROPN
m-1155	71	116	)	)	PUNCT
m-1155	71	117	−	−	PROPN
m-1155	71	118	k[℘](	k[℘](	PROPN
m-1155	71	119	�	�	PROPN
m-1155	71	120	)‖	)‖	PROPN
m-1155	71	121	≤	≤	NOUN
m-1155	71	122	2(1	2(1	NUM
m-1155	71	123	−	−	PROPN
m-1155	71	124	�	�	PROPN
m-1155	71	125	)	)	PUNCT
m-1155	71	126	(	(	PUNCT
m-1155	71	127	2	2	NUM
m-1155	71	128	−	−	PROPN
m-1155	71	129	�	�	SYM
m-1155	71	130	)	)	PUNCT
m-1155	71	131	ℱ	ℱ	PROPN
m-1155	71	132	(	(	PUNCT
m-1155	71	133	�	�	PROPN
m-1155	71	134	)	)	PUNCT
m-1155	71	135	�	�	PROPN
m-1155	71	136	‖v(t	‖v(t	NUM
m-1155	71	137	)	)	PUNCT
m-1155	71	138	−	−	NUM
m-1155	71	139	℘(t)‖	℘(t)‖	NOUN
m-1155	72	1	+	+	CCONJ
m-1155	72	2	2	2	NUM
m-1155	72	3	�	�	PROPN
m-1155	72	4	�	�	PROPN
m-1155	72	5	(	(	PUNCT
m-1155	72	6	2	2	NUM
m-1155	72	7	−	−	PROPN
m-1155	72	8	�	�	SYM
m-1155	72	9	)	)	PUNCT
m-1155	72	10	ℱ	ℱ	PROPN
m-1155	72	11	(	(	PUNCT
m-1155	72	12	�	�	PROPN
m-1155	72	13	)	)	PUNCT
m-1155	72	14	�	�	PROPN
m-1155	72	15	‖v(t	‖v(t	NUM
m-1155	72	16	)	)	PUNCT
m-1155	73	1	−	−	ADP
m-1155	73	2	℘(t)‖	℘(t)‖	SYM
m-1155	73	3	�	�	PROPN
m-1155	73	4	�	�	PROPN
m-1155	73	5	�	�	PROPN
m-1155	73	6	�	�	PROPN
m-1155	73	7	‖k	‖k	PROPN
m-1155	73	8	[	[	X
m-1155	73	9	�	�	NOUN
m-1155	73	10	]	]	X
m-1155	73	11	(	(	PUNCT
m-1155	73	12	�	�	PROPN
m-1155	73	13	)	)	PUNCT
m-1155	73	14	−	−	PROPN
m-1155	73	15	k[℘](	k[℘](	PROPN
m-1155	73	16	�	�	PROPN
m-1155	73	17	)‖	)‖	PROPN
m-1155	73	18	≤	≤	NOUN
m-1155	73	19	2(1	2(1	NUM
m-1155	74	1	−	−	PROPN
m-1155	74	2	�	�	PROPN
m-1155	74	3	)	)	PUNCT
m-1155	74	4	(	(	PUNCT
m-1155	74	5	2	2	NUM
m-1155	74	6	−	−	PROPN
m-1155	74	7	�	�	SYM
m-1155	74	8	)	)	PUNCT
m-1155	74	9	ℱ	ℱ	PROPN
m-1155	74	10	(	(	PUNCT
m-1155	74	11	�	�	PROPN
m-1155	74	12	)	)	PUNCT
m-1155	74	13	�	�	PROPN
m-1155	74	14	‖v(t	‖v(t	NUM
m-1155	74	15	)	)	PUNCT
m-1155	74	16	−	−	ADP
m-1155	74	17	℘(t)‖	℘(t)‖	SYM
m-1155	74	18	�	�	PROPN
m-1155	74	19	∈	∈	PROPN
m-1155	74	20	[	[	X
m-1155	74	21	�	�	PROPN
m-1155	74	22	,	,	PUNCT
m-1155	74	23	�	�	PROPN
m-1155	74	24	�	�	PROPN
m-1155	74	25	�	�	PROPN
m-1155	74	26	�	�	PROPN
m-1155	74	27	]	]	PUNCT
m-1155	74	28	�	�	PROPN
m-1155	74	29	�	�	PROPN
m-1155	74	30	�	�	PROPN
m-1155	74	31	+	+	CCONJ
m-1155	74	32	2	2	NUM
m-1155	74	33	�	�	PROPN
m-1155	74	34	�	�	PROPN
m-1155	74	35	(	(	PUNCT
m-1155	74	36	2	2	NUM
m-1155	74	37	−	−	PROPN
m-1155	74	38	�	�	SYM
m-1155	74	39	)	)	PUNCT
m-1155	74	40	ℱ	ℱ	PROPN
m-1155	74	41	(	(	PUNCT
m-1155	74	42	�	�	PROPN
m-1155	74	43	)	)	PUNCT
m-1155	74	44	�	�	PROPN
m-1155	74	45	‖v(t	‖v(t	NUM
m-1155	74	46	)	)	PUNCT
m-1155	74	47	−	−	ADP
m-1155	74	48	℘(t)‖	℘(t)‖	SYM
m-1155	74	49	�	�	PROPN
m-1155	74	50	�	�	PROPN
m-1155	74	51	�	�	PROPN
m-1155	74	52	�	�	PROPN
m-1155	74	53	�	�	PROPN
m-1155	74	54	�	�	PROPN
m-1155	74	55	�	�	PROPN
m-1155	74	56	�	�	PROPN
m-1155	74	57	∈	∈	PROPN
m-1155	74	58	[	[	X
m-1155	74	59	�	�	PROPN
m-1155	74	60	,	,	PUNCT
m-1155	74	61	�	�	PROPN
m-1155	74	62	�	�	PROPN
m-1155	74	63	�	�	PROPN
m-1155	74	64	�	�	PROPN
m-1155	74	65	]	]	X
m-1155	74	66	(	(	PUNCT
m-1155	74	67	3.16	3.16	NUM
m-1155	74	68	)	)	PUNCT
m-1155	74	69	≤	≤	NOUN
m-1155	74	70	2(1	2(1	NUM
m-1155	74	71	−	−	PRON
m-1155	74	72	�	�	SYM
m-1155	74	73	)	)	PUNCT
m-1155	74	74	�	�	PROPN
m-1155	74	75	(	(	PUNCT
m-1155	74	76	2	2	NUM
m-1155	74	77	−	−	PROPN
m-1155	74	78	�	�	SYM
m-1155	74	79	)	)	PUNCT
m-1155	74	80	ℱ	ℱ	PROPN
m-1155	74	81	(	(	PUNCT
m-1155	74	82	�	�	PROPN
m-1155	74	83	)	)	PUNCT
m-1155	74	84	+	+	CCONJ
m-1155	74	85	2	2	NUM
m-1155	74	86	�	�	PROPN
m-1155	74	87	�	�	PROPN
m-1155	74	88	∫	∫	PROPN
m-1155	74	89	�	�	PROPN
m-1155	74	90	�	�	PROPN
m-1155	74	91	�	�	PROPN
m-1155	74	92	�	�	PROPN
m-1155	74	93	(	(	PUNCT
m-1155	74	94	2	2	NUM
m-1155	74	95	−	−	PROPN
m-1155	74	96	�	�	SYM
m-1155	74	97	)	)	PUNCT
m-1155	74	98	ℱ	ℱ	PROPN
m-1155	74	99	(	(	PUNCT
m-1155	74	100	�	�	PROPN
m-1155	74	101	)	)	PUNCT
m-1155	74	102	‖v	‖v	NOUN
m-1155	74	103	−	−	NOUN
m-1155	74	104	℘‖	℘‖	PUNCT
m-1155	74	105	≤	≤	NUM
m-1155	74	106	2(1	2(1	NUM
m-1155	74	107	−	−	PROPN
m-1155	74	108	�	�	SYM
m-1155	74	109	)	)	PUNCT
m-1155	74	110	�	�	PROPN
m-1155	74	111	(	(	PUNCT
m-1155	74	112	2	2	NUM
m-1155	74	113	−	−	PROPN
m-1155	74	114	�	�	SYM
m-1155	74	115	)	)	PUNCT
m-1155	74	116	ℱ	ℱ	PROPN
m-1155	74	117	(	(	PUNCT
m-1155	74	118	�	�	PROPN
m-1155	74	119	)	)	PUNCT
m-1155	74	120	+	+	CCONJ
m-1155	74	121	2	2	NUM
m-1155	74	122	�	�	PROPN
m-1155	74	123	�	�	PROPN
m-1155	74	124	�	�	PROPN
m-1155	74	125	�	�	PROPN
m-1155	74	126	�	�	PROPN
m-1155	74	127	�	�	PROPN
m-1155	74	128	(	(	PUNCT
m-1155	74	129	2	2	NUM
m-1155	74	130	−	−	PROPN
m-1155	74	131	�	�	SYM
m-1155	74	132	)	)	PUNCT
m-1155	74	133	ℱ	ℱ	PROPN
m-1155	74	134	(	(	PUNCT
m-1155	74	135	�	�	PROPN
m-1155	74	136	)	)	PUNCT
m-1155	74	137	‖v	‖v	NOUN
m-1155	74	138	−	−	PROPN
m-1155	74	139	℘‖	℘‖	PUNCT
m-1155	75	1	thus	thus	ADV
m-1155	75	2	if	if	SCONJ
m-1155	75	3	the	the	DET
m-1155	75	4	condition	condition	NOUN
m-1155	75	5	(	(	PUNCT
m-1155	75	6	3.12)holds	3.12)holds	NUM
m-1155	75	7	then	then	ADV
m-1155	75	8	,	,	PUNCT
m-1155	75	9	‖k	‖k	PROPN
m-1155	75	10	[	[	X
m-1155	75	11	�	�	X
m-1155	75	12	]	]	X
m-1155	75	13	(	(	PUNCT
m-1155	75	14	�	�	PROPN
m-1155	75	15	)	)	PUNCT
m-1155	75	16	−	−	PROPN
m-1155	75	17	k[	k[	PROPN
m-1155	75	18	�	�	PROPN
m-1155	75	19	](	](	PROPN
m-1155	75	20	�	�	PROPN
m-1155	75	21	)‖	)‖	PROPN
m-1155	75	22	≤	≤	NOUN
m-1155	75	23	2(1	2(1	NUM
m-1155	75	24	−	−	PROPN
m-1155	75	25	�	�	SYM
m-1155	75	26	)	)	PUNCT
m-1155	75	27	�	�	PROPN
m-1155	75	28	(	(	PUNCT
m-1155	75	29	2	2	NUM
m-1155	75	30	−	−	PROPN
m-1155	75	31	�	�	SYM
m-1155	75	32	)	)	PUNCT
m-1155	75	33	ℱ	ℱ	PROPN
m-1155	75	34	(	(	PUNCT
m-1155	75	35	�	�	PROPN
m-1155	75	36	)	)	PUNCT
m-1155	75	37	+	+	CCONJ
m-1155	75	38	2	2	NUM
m-1155	75	39	�	�	PROPN
m-1155	75	40	�	�	PROPN
m-1155	75	41	�	�	PROPN
m-1155	75	42	�	�	PROPN
m-1155	75	43	�	�	PROPN
m-1155	75	44	�	�	PROPN
m-1155	75	45	(	(	PUNCT
m-1155	75	46	2	2	NUM
m-1155	75	47	−	−	PROPN
m-1155	75	48	�	�	SYM
m-1155	75	49	)	)	PUNCT
m-1155	75	50	ℱ	ℱ	PROPN
m-1155	75	51	(	(	PUNCT
m-1155	75	52	�	�	PROPN
m-1155	75	53	)	)	PUNCT
m-1155	75	54	‖v	‖v	NOUN
m-1155	75	55	−	−	PROPN
m-1155	75	56	w‖	w‖	PROPN
m-1155	75	57	hence	hence	ADV
m-1155	75	58	,	,	PUNCT
m-1155	75	59	the	the	DET
m-1155	75	60	operator	operator	NOUN
m-1155	75	61	k	k	PROPN
m-1155	75	62	becomes	become	VERB
m-1155	75	63	a	a	DET
m-1155	75	64	contraction	contraction	NOUN
m-1155	75	65	.	.	PUNCT
m-1155	76	1	therefore	therefore	ADV
m-1155	76	2	k	k	PROPN
m-1155	76	3	has	have	VERB
m-1155	76	4	a	a	DET
m-1155	76	5	unique	unique	ADJ
m-1155	76	6	fixed	fix	VERB
m-1155	76	7	point	point	NOUN
m-1155	76	8	which	which	PRON
m-1155	76	9	is	be	AUX
m-1155	76	10	a	a	DET
m-1155	76	11	solution	solution	NOUN
m-1155	76	12	to	to	ADP
m-1155	76	13	the	the	DET
m-1155	76	14	initial	initial	ADJ
m-1155	76	15	value	value	NOUN
m-1155	76	16	problem	problem	NOUN
m-1155	76	17	(	(	PUNCT
m-1155	76	18	3.9)and	3.9)and	PRON
m-1155	76	19	hence	hence	ADV
m-1155	76	20	asolution	asolution	NOUN
m-1155	76	21	to	to	ADP
m-1155	76	22	the	the	DET
m-1155	76	23	system	system	NOUN
m-1155	76	24	(	(	PUNCT
m-1155	76	25	(	(	PUNCT
m-1155	76	26	3.1)-(3.8	3.1)-(3.8	NUM
m-1155	76	27	)	)	PUNCT
m-1155	76	28	)	)	PUNCT
m-1155	76	29	.	.	PUNCT
m-1155	77	1	ijo	ijo	PROPN
m-1155	77	2	journals	journal	NOUN
m-1155	77	3	volume	volume	NOUN
m-1155	77	4	08	08	NUM
m-1155	78	1	|	|	ADV
m-1155	78	2	issue	issue	NOUN
m-1155	78	3	09	09	NUM
m-1155	78	4	|	|	ADV
m-1155	78	5	september	september	PROPN
m-1155	78	6	2025	2025	NUM
m-1155	79	1	|	|	ADV
m-1155	79	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-1155	79	3	46	46	NUM
m-1155	79	4	ijo	ijo	PROPN
m-1155	79	5	international	international	PROPN
m-1155	79	6	journal	journal	PROPN
m-1155	79	7	of	of	ADP
m-1155	79	8	mathematics	mathematics	PROPN
m-1155	79	9	(	(	PUNCT
m-1155	79	10	issn	issn	PROPN
m-1155	79	11	:	:	PUNCT
m-1155	79	12	2992	2992	NUM
m-1155	79	13	-	-	SYM
m-1155	79	14	4421	4421	NUM
m-1155	79	15	)	)	PUNCT
m-1155	79	16	thomas	thomas	PROPN
m-1155	79	17	,	,	PUNCT
m-1155	80	1	henry	henry	PROPN
m-1155	80	2	sylvester	sylvester	PROPN
m-1155	80	3	*	*	PUNCT
m-1155	80	4	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-1155	80	5	volume	volume	NOUN
m-1155	80	6	08	08	NUM
m-1155	80	7	||	||	PROPN
m-1155	80	8	issue	issue	NOUN
m-1155	80	9	09	09	NUM
m-1155	80	10	||	||	NOUN
m-1155	80	11	september	september	PROPN
m-1155	80	12	,	,	PUNCT
m-1155	80	13	2025	2025	NUM
m-1155	80	14	||	||	PUNCT
m-1155	81	1	“	"	PUNCT
m-1155	81	2	caputo	caputo	PROPN
m-1155	81	3	-	-	PUNCT
m-1155	81	4	fabrizio	fabrizio	PROPN
m-1155	81	5	fractional	fractional	ADJ
m-1155	81	6	drivatives	drivative	NOUN
m-1155	81	7	of	of	ADP
m-1155	81	8	age	age	NOUN
m-1155	81	9	-	-	PUNCT
m-1155	81	10	structured	structure	VERB
m-1155	81	11	dipptheria	dipptheria	NOUN
m-1155	81	12	infection	infection	NOUN
m-1155	81	13	model	model	NOUN
m-1155	81	14	with	with	ADP
m-1155	81	15	laplace	laplace	NOUN
m-1155	81	16	adomian	adomian	NOUN
m-1155	81	17	decomposition	decomposition	NOUN
m-1155	81	18	analysis	analysis	NOUN
m-1155	81	19	"	"	PUNCT
m-1155	81	20	ulam	ulam	NOUN
m-1155	81	21	-	-	PUNCT
m-1155	81	22	hyersstability	hyersstability	NOUN
m-1155	81	23	theulam	theulam	ADJ
m-1155	81	24	-	-	PUNCT
m-1155	81	25	hyers	hyer	NOUN
m-1155	81	26	(	(	PUNCT
m-1155	81	27	uh	uh	INTJ
m-1155	81	28	)	)	PUNCT
m-1155	81	29	stability	stability	NOUN
m-1155	81	30	and	and	CCONJ
m-1155	81	31	generalized	generalize	VERB
m-1155	81	32	uh	uh	INTJ
m-1155	81	33	stability	stability	NOUN
m-1155	81	34	[	[	X
m-1155	81	35	20,21]for	20,21]for	ADP
m-1155	81	36	the	the	DET
m-1155	81	37	fractional	fractional	ADJ
m-1155	81	38	system	system	NOUN
m-1155	81	39	(	(	PUNCT
m-1155	81	40	3.1	3.1	NUM
m-1155	81	41	)	)	PUNCT
m-1155	81	42	–	–	PUNCT
m-1155	81	43	(	(	PUNCT
m-1155	81	44	3.8	3.8	NUM
m-1155	81	45	)	)	PUNCT
m-1155	81	46	using	use	VERB
m-1155	81	47	the	the	DET
m-1155	81	48	caputo	caputo	PROPN
m-1155	81	49	-	-	PUNCT
m-1155	81	50	fabrizio	fabrizio	PROPN
m-1155	81	51	operator	operator	NOUN
m-1155	81	52	is	be	AUX
m-1155	81	53	discussed	discuss	VERB
m-1155	81	54	in	in	ADP
m-1155	81	55	this	this	DET
m-1155	81	56	section.lets	section.let	NOUN
m-1155	81	57	=	=	SYM
m-1155	81	58	�	�	PROPN
m-1155	81	59	(	(	PUNCT
m-1155	81	60	[	[	NOUN
m-1155	81	61	0	0	NUM
m-1155	81	62	,	,	PUNCT
m-1155	81	63	�	�	PROPN
m-1155	81	64	�	�	PROPN
m-1155	81	65	�	�	PROPN
m-1155	81	66	�	�	PROPN
m-1155	81	67	]	]	PUNCT
m-1155	81	68	:	:	PUNCT
m-1155	81	69	ℝ	ℝ	PROPN
m-1155	81	70	�	�	PROPN
m-1155	81	71	)	)	PUNCT
m-1155	81	72	be	be	AUX
m-1155	81	73	the	the	DET
m-1155	81	74	space	space	NOUN
m-1155	81	75	of	of	ADP
m-1155	81	76	all	all	DET
m-1155	81	77	continuous	continuous	ADJ
m-1155	81	78	functions	function	NOUN
m-1155	81	79	from	from	ADP
m-1155	81	80	[	[	X
m-1155	81	81	0	0	NUM
m-1155	81	82	,	,	PUNCT
m-1155	81	83	�	�	PROPN
m-1155	81	84	�	�	PROPN
m-1155	81	85	�	�	PROPN
m-1155	81	86	�	�	PROPN
m-1155	81	87	]	]	SYM
m-1155	81	88	toℝ	toℝ	PROPN
m-1155	81	89	�	�	PROPN
m-1155	81	90	,	,	PUNCT
m-1155	81	91	endowed	endow	VERB
m-1155	81	92	with	with	ADP
m-1155	81	93	the	the	DET
m-1155	81	94	norm:‖	norm:‖	PROPN
m-1155	81	95	�	�	PROPN
m-1155	81	96	‖	‖	PROPN
m-1155	81	97	=	=	SYM
m-1155	81	98	‖	‖	PROPN
m-1155	81	99	�	�	PROPN
m-1155	81	100	‖	‖	PROPN
m-1155	81	101	�	�	PROPN
m-1155	81	102	∈	∈	PROPN
m-1155	81	103	[	[	X
m-1155	81	104	�	�	PROPN
m-1155	81	105	,	,	PUNCT
m-1155	81	106	�	�	PROPN
m-1155	81	107	�	�	PROPN
m-1155	81	108	�	�	PROPN
m-1155	81	109	�	�	PROPN
m-1155	81	110	]	]	PUNCT
m-1155	81	111	�	�	PROPN
m-1155	81	112	�	�	PROPN
m-1155	81	113	�	�	PROPN
m-1155	81	114	,	,	PUNCT
m-1155	81	115	consider	consider	VERB
m-1155	81	116	�	�	PROPN
m-1155	81	117	�	�	PROPN
m-1155	81	118	�	�	PROPN
m-1155	81	119	�	�	PROPN
m-1155	81	120	�	�	PROPN
m-1155	81	121	�	�	PROPN
m-1155	81	122	�	�	PROPN
m-1155	81	123	(	(	PUNCT
m-1155	81	124	�	�	PROPN
m-1155	81	125	)	)	PUNCT
m-1155	81	126	=	=	PUNCT
m-1155	81	127	ℒ	ℒ	PROPN
m-1155	81	128	�	�	PROPN
m-1155	81	129	�	�	PROPN
m-1155	81	130	.	.	PUNCT
m-1155	81	131	�	�	PROPN
m-1155	81	132	(	(	PUNCT
m-1155	81	133	�	�	PROPN
m-1155	81	134	)	)	PUNCT
m-1155	81	135	�	�	PROPN
m-1155	81	136	(	(	PUNCT
m-1155	81	137	3.17	3.17	NUM
m-1155	81	138	)	)	PUNCT
m-1155	81	139	�	�	PROPN
m-1155	81	140	(	(	PUNCT
m-1155	81	141	�	�	PROPN
m-1155	81	142	)	)	PUNCT
m-1155	81	143	=	=	SYM
m-1155	81	144	�	�	PROPN
m-1155	81	145	0	0	NUM
m-1155	81	146	also	also	ADV
m-1155	81	147	let	let	VERB
m-1155	81	148	ε	ε	PROPN
m-1155	81	149	>	>	X
m-1155	81	150	0	0	X
m-1155	81	151	.	.	PUNCT
m-1155	82	1	consider	consider	VERB
m-1155	82	2	the	the	DET
m-1155	82	3	following	follow	VERB
m-1155	82	4	inequality	inequality	NOUN
m-1155	82	5	:	:	PUNCT
m-1155	82	6	�	�	PROPN
m-1155	82	7	�	�	PROPN
m-1155	82	8	�	�	PROPN
m-1155	82	9	�	�	PROPN
m-1155	82	10	�	�	PROPN
m-1155	82	11	�	�	PROPN
m-1155	82	12	�	�	PROPN
m-1155	82	13	�	�	PROPN
m-1155	82	14	�	�	PROPN
m-1155	82	15	(	(	PUNCT
m-1155	82	16	�	�	PROPN
m-1155	82	17	)	)	PUNCT
m-1155	82	18	−	−	ADP
m-1155	82	19	ℒ	ℒ	PROPN
m-1155	82	20	�	�	PROPN
m-1155	82	21	�	�	PROPN
m-1155	82	22	.	.	PUNCT
m-1155	82	23	�	�	PROPN
m-1155	82	24	�	�	PROPN
m-1155	82	25	(	(	PUNCT
m-1155	82	26	�	�	PROPN
m-1155	82	27	)	)	PUNCT
m-1155	82	28	�	�	PROPN
m-1155	82	29	�	�	PROPN
m-1155	82	30	≤	≤	PROPN
m-1155	82	31	�	�	PROPN
m-1155	82	32	,	,	PUNCT
m-1155	82	33	�	�	PROPN
m-1155	82	34	�	�	PROPN
m-1155	82	35	ℑ	ℑ	PROPN
m-1155	82	36	,	,	PUNCT
m-1155	82	37	�	�	PROPN
m-1155	82	38	=	=	SYM
m-1155	82	39	max	max	PROPN
m-1155	82	40	(	(	PUNCT
m-1155	82	41	�	�	PROPN
m-1155	82	42	�	�	PROPN
m-1155	82	43	)	)	PUNCT
m-1155	82	44	�	�	PROPN
m-1155	82	45	,	,	PUNCT
m-1155	82	46	�	�	PROPN
m-1155	82	47	=	=	PUNCT
m-1155	82	48	1,2,3	1,2,3	NUM
m-1155	82	49	,	,	PUNCT
m-1155	82	50	…	…	PUNCT
m-1155	82	51	,	,	PUNCT
m-1155	82	52	8	8	NUM
m-1155	82	53	,	,	PUNCT
m-1155	82	54	�	�	PROPN
m-1155	82	55	�	�	PROPN
m-1155	82	56	∈	∈	PROPN
m-1155	82	57	s	s	PART
m-1155	82	58	(	(	PUNCT
m-1155	82	59	3.18	3.18	NUM
m-1155	82	60	)	)	PUNCT
m-1155	82	61	remark	remark	NOUN
m-1155	82	62	3.1	3.1	NUM
m-1155	82	63	.	.	PUNCT
m-1155	83	1	“	"	PUNCT
m-1155	83	2	a	a	DET
m-1155	83	3	function	function	NOUN
m-1155	83	4	�	�	PROPN
m-1155	83	5	∈	∈	PROPN
m-1155	83	6	s	s	PART
m-1155	83	7	satisfies	satisfie	NOUN
m-1155	83	8	the	the	DET
m-1155	83	9	inequality	inequality	NOUN
m-1155	83	10	(	(	PUNCT
m-1155	83	11	3.18)if	3.18)if	NOUN
m-1155	83	12	and	and	CCONJ
m-1155	83	13	only	only	ADV
m-1155	83	14	if	if	SCONJ
m-1155	83	15	there	there	PRON
m-1155	83	16	exists	exist	VERB
m-1155	83	17	a	a	DET
m-1155	83	18	function	function	NOUN
m-1155	83	19	p	p	PROPN
m-1155	83	20	∈	∈	PROPN
m-1155	83	21	s	s	NOUN
m-1155	83	22	,	,	PUNCT
m-1155	83	23	having	have	VERB
m-1155	83	24	the	the	DET
m-1155	83	25	following	follow	VERB
m-1155	83	26	properties	property	NOUN
m-1155	83	27	;	;	PUNCT
m-1155	83	28	(	(	PUNCT
m-1155	83	29	�	�	NOUN
m-1155	83	30	)	)	PUNCT
m-1155	83	31	|	|	NOUN
m-1155	83	32	�	�	PROPN
m-1155	83	33	(	(	PUNCT
m-1155	83	34	�	�	PROPN
m-1155	83	35	)|	)|	PART
m-1155	83	36	≤	≤	NUM
m-1155	83	37	�	�	PROPN
m-1155	83	38	,	,	PUNCT
m-1155	83	39	�	�	PROPN
m-1155	83	40	=	=	SYM
m-1155	83	41	max	max	PROPN
m-1155	83	42	�	�	PROPN
m-1155	83	43	�	�	PROPN
m-1155	83	44	�	�	PROPN
m-1155	83	45	�	�	PROPN
m-1155	83	46	,	,	PUNCT
m-1155	83	47	�	�	PROPN
m-1155	83	48	�	�	PROPN
m-1155	83	49	ℑ	ℑ	PROPN
m-1155	83	50	(	(	PUNCT
m-1155	83	51	ii	ii	NOUN
m-1155	83	52	)	)	PUNCT
m-1155	83	53	�	�	PROPN
m-1155	83	54	�	�	PROPN
m-1155	83	55	�	�	PROPN
m-1155	83	56	�	�	PROPN
m-1155	83	57	�	�	PROPN
m-1155	83	58	�	�	PROPN
m-1155	83	59	�	�	PROPN
m-1155	83	60	(	(	PUNCT
m-1155	83	61	�	�	PROPN
m-1155	83	62	)	)	PUNCT
m-1155	83	63	=	=	PUNCT
m-1155	83	64	ℒ	ℒ	PROPN
m-1155	83	65	�	�	PROPN
m-1155	83	66	�	�	PROPN
m-1155	83	67	.	.	PUNCT
m-1155	83	68	�	�	PROPN
m-1155	83	69	�	�	PROPN
m-1155	83	70	(	(	PUNCT
m-1155	83	71	�	�	PROPN
m-1155	83	72	)	)	PUNCT
m-1155	83	73	�	�	PROPN
m-1155	83	74	+	+	SYM
m-1155	83	75	�	�	PROPN
m-1155	83	76	(	(	PUNCT
m-1155	83	77	�	�	PROPN
m-1155	83	78	)	)	PUNCT
m-1155	83	79	,	,	PUNCT
m-1155	83	80	�	�	PROPN
m-1155	83	81	�	�	PROPN
m-1155	83	82	ℑ	ℑ	PROPN
m-1155	83	83	definition	definition	NOUN
m-1155	83	84	3.1	3.1	NUM
m-1155	83	85	.	.	PUNCT
m-1155	84	1	the	the	DET
m-1155	84	2	fractional	fractional	ADJ
m-1155	84	3	model	model	NOUN
m-1155	84	4	(	(	PUNCT
m-1155	84	5	(	(	PUNCT
m-1155	84	6	3.1)-(3.8))or	3.1)-(3.8))or	NUM
m-1155	84	7	the	the	DET
m-1155	84	8	transformed	transform	VERB
m-1155	84	9	system	system	NOUN
m-1155	84	10	(	(	PUNCT
m-1155	84	11	3.17)is	3.17)is	NUM
m-1155	84	12	uh	uh	INTJ
m-1155	84	13	stable	stable	ADJ
m-1155	84	14	if	if	SCONJ
m-1155	84	15	for	for	ADP
m-1155	84	16	every	every	DET
m-1155	84	17	ε	ε	PROPN
m-1155	84	18	>	>	X
m-1155	84	19	0	0	PUNCT
m-1155	85	1	there	there	PRON
m-1155	85	2	exists	exist	VERB
m-1155	85	3	k	k	PROPN
m-1155	85	4	>	>	X
m-1155	85	5	0	0	PROPN
m-1155	85	6	,	,	PUNCT
m-1155	85	7	such	such	ADJ
m-1155	85	8	that	that	PRON
m-1155	85	9	for	for	ADP
m-1155	85	10	any	any	DET
m-1155	85	11	solution	solution	NOUN
m-1155	85	12	φ	φ	X
m-1155	85	13	∈	∈	PROPN
m-1155	85	14	s	s	X
m-1155	85	15	of	of	ADP
m-1155	85	16	the	the	DET
m-1155	85	17	inequality	inequality	NOUN
m-1155	85	18	(	(	PUNCT
m-1155	85	19	3.18	3.18	NUM
m-1155	85	20	)	)	PUNCT
m-1155	85	21	,	,	PUNCT
m-1155	85	22	there	there	PRON
m-1155	85	23	exists	exist	VERB
m-1155	85	24	a	a	DET
m-1155	85	25	unique	unique	ADJ
m-1155	85	26	solution	solution	NOUN
m-1155	85	27	�	�	PROPN
m-1155	85	28	∈	∈	PROPN
m-1155	85	29	s	s	PROPN
m-1155	85	30	,	,	PUNCT
m-1155	85	31	of	of	ADP
m-1155	85	32	the	the	DET
m-1155	85	33	fractional	fractional	ADJ
m-1155	85	34	system	system	NOUN
m-1155	85	35	(	(	PUNCT
m-1155	85	36	3.17)such	3.17)such	NUM
m-1155	85	37	that	that	SCONJ
m-1155	85	38	the	the	DET
m-1155	85	39	following	follow	VERB
m-1155	85	40	inequality	inequality	NOUN
m-1155	85	41	is	be	AUX
m-1155	85	42	satisfied	satisfied	ADJ
m-1155	85	43	:	:	PUNCT
m-1155	85	44	‖	‖	PROPN
m-1155	85	45	�	�	PROPN
m-1155	85	46	�	�	PROPN
m-1155	85	47	(	(	PUNCT
m-1155	85	48	�	�	PROPN
m-1155	85	49	)	)	PUNCT
m-1155	85	50	−	−	PROPN
m-1155	85	51	�	�	PROPN
m-1155	85	52	(	(	PUNCT
m-1155	85	53	�	�	PROPN
m-1155	85	54	)	)	PUNCT
m-1155	85	55	‖	‖	PROPN
m-1155	85	56	≤	≤	PROPN
m-1155	85	57	�	�	PROPN
m-1155	85	58	�	�	PROPN
m-1155	85	59	,	,	PUNCT
m-1155	85	60	�	�	PROPN
m-1155	85	61	�	�	PROPN
m-1155	85	62	ℑ	ℑ	PROPN
m-1155	85	63	�	�	PROPN
m-1155	85	64	=	=	SYM
m-1155	85	65	max	max	PROPN
m-1155	85	66	�	�	PROPN
m-1155	85	67	�	�	PROPN
m-1155	85	68	�	�	PROPN
m-1155	85	69	�	�	PROPN
m-1155	85	70	,	,	PUNCT
m-1155	85	71	�	�	PROPN
m-1155	85	72	=	=	SYM
m-1155	85	73	1	1	NUM
m-1155	85	74	,	,	PUNCT
m-1155	85	75	2	2	NUM
m-1155	85	76	,	,	PUNCT
m-1155	85	77	3	3	NUM
m-1155	85	78	,	,	PUNCT
m-1155	85	79	…	…	PUNCT
m-1155	85	80	,	,	PUNCT
m-1155	85	81	8	8	NUM
m-1155	85	82	(	(	PUNCT
m-1155	85	83	3.19	3.19	NUM
m-1155	85	84	)	)	PUNCT
m-1155	86	1	where	where	SCONJ
m-1155	86	2	�	�	PROPN
m-1155	86	3	(	(	PUNCT
m-1155	86	4	�	�	PROPN
m-1155	86	5	)	)	PUNCT
m-1155	86	6	=	=	SYM
m-1155	86	7	�	�	PROPN
m-1155	86	8	�	�	PROPN
m-1155	86	9	�	�	PROPN
m-1155	86	10	(	(	PUNCT
m-1155	86	11	�	�	PROPN
m-1155	86	12	)	)	PUNCT
m-1155	86	13	,	,	PUNCT
m-1155	86	14	�	�	PROPN
m-1155	86	15	�	�	PROPN
m-1155	86	16	(	(	PUNCT
m-1155	86	17	�	�	PROPN
m-1155	86	18	)	)	PUNCT
m-1155	86	19	,	,	PUNCT
m-1155	86	20	�	�	PROPN
m-1155	86	21	(	(	PUNCT
m-1155	86	22	�	�	PROPN
m-1155	86	23	)	)	PUNCT
m-1155	86	24	,	,	PUNCT
m-1155	86	25	�	�	PROPN
m-1155	86	26	(	(	PUNCT
m-1155	86	27	�	�	PROPN
m-1155	86	28	)	)	PUNCT
m-1155	86	29	,	,	PUNCT
m-1155	86	30	�	�	PROPN
m-1155	86	31	�	�	PROPN
m-1155	86	32	(	(	PUNCT
m-1155	86	33	�	�	PROPN
m-1155	86	34	)	)	PUNCT
m-1155	86	35	,	,	PUNCT
m-1155	86	36	�	�	PROPN
m-1155	86	37	�	�	PROPN
m-1155	86	38	(	(	PUNCT
m-1155	86	39	�	�	PROPN
m-1155	86	40	)	)	PUNCT
m-1155	86	41	,	,	PUNCT
m-1155	86	42	�	�	PROPN
m-1155	86	43	�	�	PROPN
m-1155	86	44	(	(	PUNCT
m-1155	86	45	�	�	PROPN
m-1155	86	46	)	)	PUNCT
m-1155	86	47	,	,	PUNCT
m-1155	86	48	�	�	PROPN
m-1155	86	49	(	(	PUNCT
m-1155	86	50	�	�	PROPN
m-1155	86	51	)	)	PUNCT
m-1155	86	52	�	�	PROPN
m-1155	86	53	�	�	PROPN
m-1155	86	54	�	�	PROPN
m-1155	86	55	�	�	PROPN
m-1155	86	56	(	(	PUNCT
m-1155	86	57	�	�	PROPN
m-1155	86	58	)	)	PUNCT
m-1155	86	59	=	=	SYM
m-1155	86	60	�	�	PROPN
m-1155	86	61	�	�	PROPN
m-1155	86	62	�	�	PROPN
m-1155	86	63	̅	̅	NOUN
m-1155	86	64	�	�	PROPN
m-1155	86	65	(	(	PUNCT
m-1155	86	66	�	�	PROPN
m-1155	86	67	)	)	PUNCT
m-1155	86	68	,	,	PUNCT
m-1155	86	69	�	�	PROPN
m-1155	86	70	�	�	PROPN
m-1155	86	71	�	�	PROPN
m-1155	86	72	(	(	PUNCT
m-1155	86	73	�	�	PROPN
m-1155	86	74	)	)	PUNCT
m-1155	86	75	,	,	PUNCT
m-1155	86	76	�	�	PROPN
m-1155	86	77	�	�	PROPN
m-1155	86	78	(	(	PUNCT
m-1155	86	79	�	�	PROPN
m-1155	86	80	)	)	PUNCT
m-1155	86	81	,	,	PUNCT
m-1155	86	82	�	�	PROPN
m-1155	86	83	�	�	PROPN
m-1155	86	84	(	(	PUNCT
m-1155	86	85	�	�	PROPN
m-1155	86	86	)	)	PUNCT
m-1155	86	87	,	,	PUNCT
m-1155	86	88	�	�	PROPN
m-1155	86	89	�	�	PROPN
m-1155	86	90	�	�	PROPN
m-1155	86	91	(	(	PUNCT
m-1155	86	92	�	�	PROPN
m-1155	86	93	)	)	PUNCT
m-1155	86	94	,	,	PUNCT
m-1155	86	95	�	�	PROPN
m-1155	86	96	�	�	PROPN
m-1155	86	97	�	�	PROPN
m-1155	86	98	(	(	PUNCT
m-1155	86	99	�	�	PROPN
m-1155	86	100	)	)	PUNCT
m-1155	86	101	,	,	PUNCT
m-1155	86	102	�	�	PROPN
m-1155	86	103	�	�	PROPN
m-1155	86	104	�	�	PROPN
m-1155	86	105	(	(	PUNCT
m-1155	86	106	�	�	PROPN
m-1155	86	107	)	)	PUNCT
m-1155	86	108	,	,	PUNCT
m-1155	86	109	�	�	PROPN
m-1155	86	110	�	�	PROPN
m-1155	86	111	(	(	PUNCT
m-1155	86	112	�	�	PROPN
m-1155	86	113	)	)	PUNCT
m-1155	86	114	�	�	PROPN
m-1155	86	115	�	�	PROPN
m-1155	86	116	�	�	PROPN
m-1155	86	117	(	(	PUNCT
m-1155	86	118	0	0	NUM
m-1155	86	119	)	)	PUNCT
m-1155	86	120	=	=	SYM
m-1155	86	121	�	�	PROPN
m-1155	86	122	�	�	PROPN
m-1155	86	123	�	�	PROPN
m-1155	86	124	(	(	PUNCT
m-1155	86	125	0	0	NUM
m-1155	86	126	)	)	PUNCT
m-1155	86	127	,	,	PUNCT
m-1155	86	128	�	�	PROPN
m-1155	86	129	�	�	PROPN
m-1155	86	130	(	(	PUNCT
m-1155	86	131	0	0	NUM
m-1155	86	132	)	)	PUNCT
m-1155	86	133	,	,	PUNCT
m-1155	86	134	�	�	PROPN
m-1155	86	135	(	(	PUNCT
m-1155	86	136	0	0	NUM
m-1155	86	137	)	)	PUNCT
m-1155	86	138	,	,	PUNCT
m-1155	86	139	�	�	PROPN
m-1155	86	140	(	(	PUNCT
m-1155	86	141	0	0	NUM
m-1155	86	142	)	)	PUNCT
m-1155	86	143	,	,	PUNCT
m-1155	86	144	�	�	PROPN
m-1155	86	145	�	�	PROPN
m-1155	86	146	(	(	PUNCT
m-1155	86	147	0	0	NUM
m-1155	86	148	)	)	PUNCT
m-1155	86	149	,	,	PUNCT
m-1155	86	150	�	�	PROPN
m-1155	86	151	�	�	PROPN
m-1155	86	152	(	(	PUNCT
m-1155	86	153	0	0	NUM
m-1155	86	154	)	)	PUNCT
m-1155	86	155	,	,	PUNCT
m-1155	86	156	�	�	PROPN
m-1155	86	157	�	�	PROPN
m-1155	86	158	(	(	PUNCT
m-1155	86	159	0	0	NUM
m-1155	86	160	)	)	PUNCT
m-1155	86	161	,	,	PUNCT
m-1155	86	162	�	�	PROPN
m-1155	86	163	(	(	PUNCT
m-1155	86	164	0	0	NUM
m-1155	86	165	)	)	PUNCT
m-1155	86	166	�	�	PROPN
m-1155	86	167	�	�	PROPN
m-1155	86	168	definition	definition	NOUN
m-1155	86	169	3.2	3.2	NUM
m-1155	86	170	.	.	PUNCT
m-1155	86	171	themodel	themodel	NOUN
m-1155	86	172	system	system	NOUN
m-1155	86	173	(	(	PUNCT
m-1155	86	174	3.17	3.17	NUM
m-1155	86	175	)	)	PUNCT
m-1155	86	176	is	be	AUX
m-1155	86	177	generalized	generalize	VERB
m-1155	86	178	uh	uh	INTJ
m-1155	86	179	stable	stable	ADJ
m-1155	86	180	if	if	SCONJ
m-1155	86	181	there	there	PRON
m-1155	86	182	exists	exist	VERB
m-1155	86	183	a	a	DET
m-1155	86	184	continuous	continuous	ADJ
m-1155	86	185	function	function	NOUN
m-1155	86	186	�	�	PROPN
m-1155	86	187	:	:	PUNCT
m-1155	86	188	ℝ+	ℝ+	ADP
m-1155	86	189	→	→	SYM
m-1155	86	190	ℝ+satisfying	ℝ+satisfye	VERB
m-1155	86	191	�	�	PROPN
m-1155	86	192	(0	(0	X
m-1155	86	193	)	)	PUNCT
m-1155	86	194	=	=	SYM
m-1155	86	195	0	0	NUM
m-1155	86	196	,	,	PUNCT
m-1155	86	197	such	such	ADJ
m-1155	86	198	that	that	SCONJ
m-1155	86	199	for	for	ADP
m-1155	86	200	anysolution	anysolution	NOUN
m-1155	86	201	�	�	PROPN
m-1155	86	202	∈	∈	PROPN
m-1155	86	203	s	s	X
m-1155	86	204	of	of	ADP
m-1155	86	205	system	system	NOUN
m-1155	86	206	(	(	PUNCT
m-1155	86	207	3.18	3.18	NUM
m-1155	86	208	)	)	PUNCT
m-1155	86	209	,	,	PUNCT
m-1155	86	210	there	there	PRON
m-1155	86	211	exists	exist	VERB
m-1155	86	212	a	a	DET
m-1155	86	213	unique	unique	ADJ
m-1155	86	214	solution	solution	NOUN
m-1155	86	215	�	�	PROPN
m-1155	86	216	∈	∈	PROPN
m-1155	86	217	s	s	VERB
m-1155	86	218	such	such	ADJ
m-1155	86	219	that	that	SCONJ
m-1155	86	220	the	the	DET
m-1155	86	221	following	follow	VERB
m-1155	86	222	inequality	inequality	NOUN
m-1155	86	223	is	be	AUX
m-1155	86	224	satisfied	satisfied	ADJ
m-1155	86	225	:	:	PUNCT
m-1155	87	1	‖	‖	PROPN
m-1155	87	2	�	�	PROPN
m-1155	87	3	�	�	PROPN
m-1155	87	4	(	(	PUNCT
m-1155	87	5	�	�	PROPN
m-1155	87	6	)	)	PUNCT
m-1155	87	7	−	−	PROPN
m-1155	87	8	�	�	PROPN
m-1155	87	9	(	(	PUNCT
m-1155	87	10	�	�	PROPN
m-1155	87	11	)	)	PUNCT
m-1155	87	12	‖	‖	PROPN
m-1155	87	13	≤	≤	PROPN
m-1155	87	14	�	�	PROPN
m-1155	87	15	(	(	PUNCT
m-1155	87	16	�	�	PROPN
m-1155	87	17	)	)	PUNCT
m-1155	87	18	,	,	PUNCT
m-1155	87	19	�	�	PROPN
m-1155	87	20	�	�	PROPN
m-1155	87	21	ℑ	ℑ	PROPN
m-1155	87	22	�	�	PROPN
m-1155	87	23	=	=	SYM
m-1155	87	24	max	max	PROPN
m-1155	87	25	�	�	PROPN
m-1155	87	26	�	�	PROPN
m-1155	87	27	�	�	PROPN
m-1155	87	28	�	�	PROPN
m-1155	87	29	�	�	PROPN
m-1155	87	30	,	,	PUNCT
m-1155	87	31	�	�	PROPN
m-1155	87	32	=	=	SYM
m-1155	87	33	1	1	NUM
m-1155	87	34	,	,	PUNCT
m-1155	87	35	2	2	NUM
m-1155	87	36	,	,	PUNCT
m-1155	87	37	3	3	NUM
m-1155	87	38	,	,	PUNCT
m-1155	87	39	…	…	PUNCT
m-1155	87	40	,	,	PUNCT
m-1155	87	41	8	8	NUM
m-1155	87	42	(	(	PUNCT
m-1155	87	43	3.20	3.20	NUM
m-1155	87	44	)	)	PUNCT
m-1155	87	45	ijo	ijo	PROPN
m-1155	87	46	journals	journal	NOUN
m-1155	87	47	volume	volume	NOUN
m-1155	87	48	08	08	NUM
m-1155	88	1	|	|	ADV
m-1155	88	2	issue	issue	NOUN
m-1155	88	3	09	09	NUM
m-1155	88	4	|	|	ADV
m-1155	88	5	september	september	PROPN
m-1155	88	6	2025	2025	NUM
m-1155	89	1	|	|	ADV
m-1155	89	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	PROPN
m-1155	89	3	47	47	NUM
m-1155	89	4	ijo	ijo	PROPN
m-1155	89	5	international	international	PROPN
m-1155	89	6	journal	journal	PROPN
m-1155	89	7	of	of	ADP
m-1155	89	8	mathematics	mathematics	PROPN
m-1155	89	9	(	(	PUNCT
m-1155	89	10	issn	issn	PROPN
m-1155	89	11	:	:	PUNCT
m-1155	89	12	2992	2992	NUM
m-1155	89	13	-	-	SYM
m-1155	89	14	4421	4421	NUM
m-1155	89	15	)	)	PUNCT
m-1155	89	16	thomas	thomas	PROPN
m-1155	89	17	,	,	PUNCT
m-1155	89	18	henry	henry	PROPN
m-1155	89	19	sylvester	sylvester	PROPN
m-1155	89	20	*	*	PUNCT
m-1155	89	21	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-1155	89	22	volume	volume	NOUN
m-1155	89	23	08	08	NUM
m-1155	89	24	||	||	PROPN
m-1155	89	25	issue	issue	NOUN
m-1155	89	26	09	09	NUM
m-1155	89	27	||	||	NOUN
m-1155	89	28	september	september	PROPN
m-1155	89	29	,	,	PUNCT
m-1155	89	30	2025	2025	NUM
m-1155	89	31	||	||	PUNCT
m-1155	90	1	“	"	PUNCT
m-1155	90	2	caputo	caputo	PROPN
m-1155	90	3	-	-	PUNCT
m-1155	90	4	fabrizio	fabrizio	PROPN
m-1155	90	5	fractional	fractional	ADJ
m-1155	90	6	drivatives	drivative	NOUN
m-1155	90	7	of	of	ADP
m-1155	90	8	age	age	NOUN
m-1155	90	9	-	-	PUNCT
m-1155	90	10	structured	structure	VERB
m-1155	90	11	dipptheria	dipptheria	NOUN
m-1155	90	12	infection	infection	NOUN
m-1155	90	13	model	model	NOUN
m-1155	90	14	with	with	ADP
m-1155	90	15	laplace	laplace	NOUN
m-1155	90	16	adomian	adomian	NOUN
m-1155	90	17	decomposition	decomposition	NOUN
m-1155	90	18	analysis	analysis	NOUN
m-1155	90	19	"	"	PUNCT
m-1155	90	20	theorem	theorem	VERB
m-1155	90	21	3.4	3.4	NUM
m-1155	90	22	.	.	PUNCT
m-1155	91	1	if	if	SCONJ
m-1155	91	2	φ	φ	PROPN
m-1155	91	3	∈	∈	PROPN
m-1155	91	4	ε	ε	PROPN
m-1155	91	5	satisfies	satisfy	VERB
m-1155	91	6	the	the	DET
m-1155	91	7	system	system	NOUN
m-1155	91	8	(	(	PUNCT
m-1155	91	9	3.17	3.17	NUM
m-1155	91	10	)	)	PUNCT
m-1155	91	11	,	,	PUNCT
m-1155	91	12	then	then	ADV
m-1155	91	13	we	we	PRON
m-1155	91	14	have	have	VERB
m-1155	91	15	the	the	DET
m-1155	91	16	following	follow	VERB
m-1155	91	17	:	:	PUNCT
m-1155	91	18	�	�	PROPN
m-1155	91	19	�	�	PROPN
m-1155	91	20	�	�	PROPN
m-1155	91	21	(	(	PUNCT
m-1155	91	22	�	�	PROPN
m-1155	91	23	)	)	PUNCT
m-1155	91	24	−	−	PROPN
m-1155	91	25	�	�	PROPN
m-1155	91	26	�	�	PROPN
m-1155	91	27	�	�	PROPN
m-1155	91	28	(	(	PUNCT
m-1155	91	29	�	�	PROPN
m-1155	91	30	)	)	PUNCT
m-1155	91	31	−	−	PROPN
m-1155	91	32	2(1	2(1	NUM
m-1155	91	33	−	−	PROPN
m-1155	91	34	�	�	PROPN
m-1155	91	35	)	)	PUNCT
m-1155	91	36	(	(	PUNCT
m-1155	91	37	2	2	NUM
m-1155	91	38	−	−	PROPN
m-1155	91	39	�	�	SYM
m-1155	91	40	)	)	PUNCT
m-1155	91	41	ℱ	ℱ	PROPN
m-1155	91	42	(	(	PUNCT
m-1155	91	43	�	�	PROPN
m-1155	91	44	)	)	PUNCT
m-1155	91	45	�	�	PROPN
m-1155	91	46	(	(	PUNCT
m-1155	91	47	�	�	PROPN
m-1155	91	48	,	,	PUNCT
m-1155	91	49	�	�	PROPN
m-1155	91	50	)	)	PUNCT
m-1155	91	51	+	+	CCONJ
m-1155	91	52	2	2	NUM
m-1155	91	53	�	�	NOUN
m-1155	91	54	(	(	PUNCT
m-1155	91	55	2	2	NUM
m-1155	91	56	−	−	PROPN
m-1155	91	57	�	�	SYM
m-1155	91	58	)	)	PUNCT
m-1155	91	59	ℱ	ℱ	PROPN
m-1155	91	60	(	(	PUNCT
m-1155	91	61	�	�	PROPN
m-1155	91	62	)	)	PUNCT
m-1155	91	63	�	�	PROPN
m-1155	91	64	ℒ	ℒ	PROPN
m-1155	91	65	�	�	PROPN
m-1155	91	66	�	�	PROPN
m-1155	91	67	.	.	PUNCT
m-1155	91	68	�	�	PROPN
m-1155	91	69	�	�	PROPN
m-1155	91	70	(	(	PUNCT
m-1155	91	71	�	�	PROPN
m-1155	91	72	)	)	PUNCT
m-1155	91	73	�	�	PROPN
m-1155	91	74	�	�	PROPN
m-1155	91	75	�	�	PROPN
m-1155	91	76	�	�	PROPN
m-1155	91	77	0	0	NUM
m-1155	91	78	�	�	PROPN
m-1155	91	79	≤	≤	PROPN
m-1155	91	80	ωε	ωε	ADP
m-1155	91	81	�	�	PROPN
m-1155	91	82	ℎ	ℎ	PROPN
m-1155	91	83	�	�	PROPN
m-1155	91	84	�	�	PROPN
m-1155	91	85	�	�	PROPN
m-1155	91	86	ω	ω	PROPN
m-1155	91	87	=	=	SYM
m-1155	91	88	2(1	2(1	NUM
m-1155	91	89	−	−	PROPN
m-1155	91	90	�	�	PROPN
m-1155	91	91	)	)	PUNCT
m-1155	91	92	(	(	PUNCT
m-1155	91	93	2	2	NUM
m-1155	91	94	−	−	PROPN
m-1155	91	95	�	�	SYM
m-1155	91	96	)	)	PUNCT
m-1155	91	97	ℱ	ℱ	PROPN
m-1155	91	98	(	(	PUNCT
m-1155	91	99	�	�	PROPN
m-1155	91	100	)	)	PUNCT
m-1155	91	101	+	+	CCONJ
m-1155	91	102	2	2	NUM
m-1155	91	103	�	�	NOUN
m-1155	91	104	(	(	PUNCT
m-1155	91	105	2	2	NUM
m-1155	91	106	−	−	PROPN
m-1155	91	107	�	�	SYM
m-1155	91	108	)	)	PUNCT
m-1155	91	109	ℱ	ℱ	PROPN
m-1155	91	110	(	(	PUNCT
m-1155	91	111	�	�	PROPN
m-1155	91	112	)	)	PUNCT
m-1155	91	113	�	�	PROPN
m-1155	91	114	�	�	PROPN
m-1155	91	115	�	�	PROPN
m-1155	91	116	�	�	PROPN
m-1155	91	117	0	0	NUM
m-1155	91	118	(	(	PUNCT
m-1155	91	119	3.19	3.19	NUM
m-1155	91	120	)	)	PUNCT
m-1155	91	121	proof	proof	NOUN
m-1155	91	122	:	:	PUNCT
m-1155	91	123	using	use	VERB
m-1155	91	124	remark	remark	NOUN
m-1155	91	125	3.1(ii	3.1(ii	NUM
m-1155	91	126	)	)	PUNCT
m-1155	91	127	�	�	PROPN
m-1155	91	128	�	�	PROPN
m-1155	91	129	�	�	PROPN
m-1155	91	130	�	�	PROPN
m-1155	91	131	�	�	PROPN
m-1155	91	132	�	�	PROPN
m-1155	91	133	�	�	PROPN
m-1155	91	134	�	�	PROPN
m-1155	91	135	(	(	PUNCT
m-1155	91	136	�	�	PROPN
m-1155	91	137	)	)	PUNCT
m-1155	91	138	=	=	PUNCT
m-1155	91	139	ℒ	ℒ	PROPN
m-1155	91	140	�	�	PROPN
m-1155	91	141	�	�	PROPN
m-1155	91	142	.	.	PUNCT
m-1155	91	143	�	�	PROPN
m-1155	91	144	�	�	PROPN
m-1155	91	145	(	(	PUNCT
m-1155	91	146	�	�	PROPN
m-1155	91	147	)	)	PUNCT
m-1155	91	148	�	�	PROPN
m-1155	91	149	+	+	SYM
m-1155	91	150	�	�	PROPN
m-1155	91	151	(	(	PUNCT
m-1155	91	152	�	�	PROPN
m-1155	91	153	)	)	PUNCT
m-1155	91	154	,	,	PUNCT
m-1155	91	155	�	�	PROPN
m-1155	91	156	�	�	PROPN
m-1155	91	157	ℑ	ℑ	PROPN
m-1155	91	158	,	,	PUNCT
m-1155	91	159	which	which	PRON
m-1155	91	160	on	on	ADP
m-1155	91	161	applying	apply	VERB
m-1155	91	162	the	the	DET
m-1155	91	163	caputofabrizio	caputofabrizio	NOUN
m-1155	91	164	integral	integral	ADJ
m-1155	91	165	gives	give	VERB
m-1155	91	166	�	�	PROPN
m-1155	91	167	�	�	PROPN
m-1155	91	168	(	(	PUNCT
m-1155	91	169	�	�	PROPN
m-1155	91	170	)	)	PUNCT
m-1155	91	171	=	=	SYM
m-1155	91	172	�	�	PROPN
m-1155	91	173	�	�	PROPN
m-1155	91	174	�	�	PROPN
m-1155	91	175	(	(	PUNCT
m-1155	91	176	�	�	PROPN
m-1155	91	177	)	)	PUNCT
m-1155	91	178	+	+	NUM
m-1155	91	179	2(1	2(1	NUM
m-1155	91	180	−	−	NOUN
m-1155	91	181	�	�	PROPN
m-1155	91	182	)	)	PUNCT
m-1155	91	183	(	(	PUNCT
m-1155	91	184	2	2	NUM
m-1155	91	185	−	−	PROPN
m-1155	91	186	�	�	SYM
m-1155	91	187	)	)	PUNCT
m-1155	91	188	ℱ	ℱ	PROPN
m-1155	91	189	(	(	PUNCT
m-1155	91	190	�	�	PROPN
m-1155	91	191	)	)	PUNCT
m-1155	91	192	�	�	PROPN
m-1155	91	193	(	(	PUNCT
m-1155	91	194	�	�	PROPN
m-1155	91	195	,	,	PUNCT
m-1155	91	196	�	�	PROPN
m-1155	91	197	)	)	PUNCT
m-1155	91	198	+	+	CCONJ
m-1155	91	199	2	2	NUM
m-1155	91	200	�	�	NOUN
m-1155	91	201	(	(	PUNCT
m-1155	91	202	2	2	NUM
m-1155	91	203	−	−	PROPN
m-1155	91	204	�	�	SYM
m-1155	91	205	)	)	PUNCT
m-1155	91	206	ℱ	ℱ	PROPN
m-1155	91	207	(	(	PUNCT
m-1155	91	208	�	�	PROPN
m-1155	91	209	)	)	PUNCT
m-1155	91	210	�	�	PROPN
m-1155	91	211	ℒ	ℒ	PROPN
m-1155	91	212	�	�	PROPN
m-1155	91	213	�	�	PROPN
m-1155	91	214	.	.	PUNCT
m-1155	91	215	�	�	PROPN
m-1155	91	216	�	�	PROPN
m-1155	91	217	(	(	PUNCT
m-1155	91	218	�	�	PROPN
m-1155	91	219	)	)	PUNCT
m-1155	91	220	�	�	PROPN
m-1155	91	221	�	�	PROPN
m-1155	91	222	�	�	PROPN
m-1155	91	223	�	�	PROPN
m-1155	91	224	�	�	PROPN
m-1155	91	225	+	+	CCONJ
m-1155	91	226	2(1	2(1	NUM
m-1155	91	227	−	−	NOUN
m-1155	91	228	�	�	PROPN
m-1155	91	229	)	)	PUNCT
m-1155	91	230	(	(	PUNCT
m-1155	91	231	2	2	NUM
m-1155	91	232	−	−	PROPN
m-1155	91	233	�	�	SYM
m-1155	91	234	)	)	PUNCT
m-1155	91	235	ℱ	ℱ	PROPN
m-1155	91	236	(	(	PUNCT
m-1155	91	237	�	�	PROPN
m-1155	91	238	)	)	PUNCT
m-1155	91	239	�	�	PROPN
m-1155	91	240	(	(	PUNCT
m-1155	91	241	�	�	PROPN
m-1155	91	242	)	)	PUNCT
m-1155	91	243	+	+	CCONJ
m-1155	91	244	2	2	NUM
m-1155	91	245	�	�	NOUN
m-1155	91	246	(	(	PUNCT
m-1155	91	247	2	2	NUM
m-1155	91	248	−	−	PROPN
m-1155	91	249	�	�	SYM
m-1155	91	250	)	)	PUNCT
m-1155	91	251	ℱ	ℱ	PROPN
m-1155	91	252	(	(	PUNCT
m-1155	91	253	�	�	PROPN
m-1155	91	254	)	)	PUNCT
m-1155	91	255	�	�	PROPN
m-1155	91	256	�	�	PROPN
m-1155	91	257	(	(	PUNCT
m-1155	91	258	�	�	PROPN
m-1155	91	259	)	)	PUNCT
m-1155	91	260	�	�	PROPN
m-1155	91	261	�	�	PROPN
m-1155	91	262	�	�	PROPN
m-1155	91	263	�	�	PROPN
m-1155	91	264	by	by	ADP
m-1155	91	265	rearranging	rearrange	VERB
m-1155	91	266	,	,	PUNCT
m-1155	91	267	applying	apply	VERB
m-1155	91	268	norm	norm	NOUN
m-1155	91	269	on	on	ADP
m-1155	91	270	both	both	DET
m-1155	91	271	sides	side	NOUN
m-1155	91	272	and	and	CCONJ
m-1155	91	273	using	use	VERB
m-1155	91	274	remark	remark	NOUN
m-1155	91	275	4.1	4.1	NUM
m-1155	91	276	(	(	PUNCT
m-1155	91	277	i	i	NOUN
m-1155	91	278	)	)	PUNCT
m-1155	91	279	,	,	PUNCT
m-1155	91	280	it	it	PRON
m-1155	91	281	follows	follow	VERB
m-1155	91	282	that	that	SCONJ
m-1155	91	283	;	;	PUNCT
m-1155	92	1	�	�	PROPN
m-1155	92	2	�	�	PROPN
m-1155	92	3	�	�	PROPN
m-1155	92	4	(	(	PUNCT
m-1155	92	5	�	�	PROPN
m-1155	92	6	)	)	PUNCT
m-1155	92	7	−	−	PROPN
m-1155	92	8	�	�	PROPN
m-1155	92	9	�	�	PROPN
m-1155	92	10	�	�	PROPN
m-1155	92	11	(	(	PUNCT
m-1155	92	12	�	�	PROPN
m-1155	92	13	)	)	PUNCT
m-1155	92	14	−	−	PROPN
m-1155	92	15	2(1	2(1	NUM
m-1155	92	16	−	−	PROPN
m-1155	92	17	�	�	PROPN
m-1155	92	18	)	)	PUNCT
m-1155	92	19	(	(	PUNCT
m-1155	92	20	2	2	NUM
m-1155	92	21	−	−	PROPN
m-1155	92	22	�	�	SYM
m-1155	92	23	)	)	PUNCT
m-1155	92	24	ℱ	ℱ	PROPN
m-1155	92	25	(	(	PUNCT
m-1155	92	26	�	�	PROPN
m-1155	92	27	)	)	PUNCT
m-1155	92	28	�	�	PROPN
m-1155	92	29	(	(	PUNCT
m-1155	92	30	�	�	PROPN
m-1155	92	31	,	,	PUNCT
m-1155	92	32	�	�	PROPN
m-1155	92	33	)	)	PUNCT
m-1155	92	34	−	−	PROPN
m-1155	92	35	2	2	NUM
m-1155	92	36	�	�	PROPN
m-1155	92	37	(	(	PUNCT
m-1155	92	38	2	2	NUM
m-1155	92	39	−	−	PROPN
m-1155	92	40	�	�	SYM
m-1155	92	41	)	)	PUNCT
m-1155	92	42	ℱ	ℱ	PROPN
m-1155	92	43	(	(	PUNCT
m-1155	92	44	�	�	PROPN
m-1155	92	45	)	)	PUNCT
m-1155	92	46	�	�	PROPN
m-1155	92	47	ℒ	ℒ	PROPN
m-1155	92	48	�	�	PROPN
m-1155	92	49	�	�	PROPN
m-1155	92	50	.	.	PUNCT
m-1155	92	51	�	�	PROPN
m-1155	92	52	�	�	PROPN
m-1155	92	53	(	(	PUNCT
m-1155	92	54	�	�	PROPN
m-1155	92	55	)	)	PUNCT
m-1155	92	56	�	�	PROPN
m-1155	92	57	�	�	PROPN
m-1155	92	58	�	�	PROPN
m-1155	92	59	�	�	PROPN
m-1155	92	60	�	�	PROPN
m-1155	92	61	�	�	PROPN
m-1155	92	62	≤	≤	NOUN
m-1155	92	63	2(1	2(1	NUM
m-1155	92	64	−	−	PROPN
m-1155	92	65	�	�	PROPN
m-1155	92	66	)	)	PUNCT
m-1155	92	67	(	(	PUNCT
m-1155	92	68	2	2	NUM
m-1155	92	69	−	−	PROPN
m-1155	92	70	�	�	SYM
m-1155	92	71	)	)	PUNCT
m-1155	92	72	ℱ	ℱ	PROPN
m-1155	92	73	(	(	PUNCT
m-1155	92	74	�	�	PROPN
m-1155	92	75	)	)	PUNCT
m-1155	92	76	�	�	PROPN
m-1155	92	77	(	(	PUNCT
m-1155	92	78	�	�	PROPN
m-1155	92	79	)	)	PUNCT
m-1155	92	80	+	+	CCONJ
m-1155	92	81	2	2	NUM
m-1155	92	82	�	�	NOUN
m-1155	92	83	(	(	PUNCT
m-1155	92	84	2	2	NUM
m-1155	92	85	−	−	PROPN
m-1155	92	86	�	�	SYM
m-1155	92	87	)	)	PUNCT
m-1155	92	88	ℱ	ℱ	PROPN
m-1155	92	89	(	(	PUNCT
m-1155	92	90	�	�	PROPN
m-1155	92	91	)	)	PUNCT
m-1155	92	92	�	�	PROPN
m-1155	92	93	|	|	NOUN
m-1155	92	94	�	�	PROPN
m-1155	92	95	(	(	PUNCT
m-1155	92	96	�	�	PROPN
m-1155	92	97	)|	)|	PROPN
m-1155	92	98	�	�	PROPN
m-1155	92	99	�	�	PROPN
m-1155	92	100	�	�	PROPN
m-1155	92	101	�	�	PROPN
m-1155	92	102	≤	≤	PROPN
m-1155	92	103	ωε	ωε	ADP
m-1155	92	104	theorem	theorem	ADJ
m-1155	92	105	3.5	3.5	NUM
m-1155	92	106	.	.	PUNCT
m-1155	93	1	supposeℒ	supposeℒ	NOUN
m-1155	93	2	:	:	PUNCT
m-1155	93	3	ℑ	ℑ	PROPN
m-1155	93	4	×	×	VERB
m-1155	93	5	ℝ	ℝ	PROPN
m-1155	93	6	�	�	PROPN
m-1155	93	7	→	→	SYM
m-1155	93	8	ℝ	ℝ	PROPN
m-1155	93	9	�	�	PROPN
m-1155	93	10	satisfies	satisfy	VERB
m-1155	93	11	the	the	DET
m-1155	93	12	lipschitz	lipschitz	NOUN
m-1155	93	13	condition	condition	NOUN
m-1155	93	14	,	,	PUNCT
m-1155	93	15	with	with	ADP
m-1155	93	16	lipschitz	lipschitz	NOUN
m-1155	93	17	constant	constant	ADJ
m-1155	93	18	�	�	PROPN
m-1155	93	19	>	>	SYM
m-1155	93	20	0	0	NUM
m-1155	93	21	and(1	and(1	PROPN
m-1155	93	22	−	−	PROPN
m-1155	93	23	ω	ω	NUM
m-1155	93	24	)	)	PUNCT
m-1155	93	25	�	�	PROPN
m-1155	93	26	>	>	X
m-1155	93	27	0	0	PROPN
m-1155	93	28	,	,	PUNCT
m-1155	93	29	then	then	ADV
m-1155	93	30	the	the	DET
m-1155	93	31	model	model	NOUN
m-1155	93	32	(	(	PUNCT
m-1155	93	33	3.17)is	3.17)is	NUM
m-1155	93	34	generalized	generalize	VERB
m-1155	93	35	uh	uh	INTJ
m-1155	93	36	stable	stable	ADJ
m-1155	93	37	.	.	PUNCT
m-1155	94	1	proof	proof	NOUN
m-1155	94	2	:	:	PUNCT
m-1155	94	3	suppose	suppose	VERB
m-1155	94	4	that	that	SCONJ
m-1155	94	5	�	�	PROPN
m-1155	94	6	∈s	∈s	PROPN
m-1155	94	7	satisfies	satisfy	VERB
m-1155	94	8	the	the	DET
m-1155	94	9	inequality	inequality	NOUN
m-1155	94	10	in	in	ADP
m-1155	94	11	(	(	PUNCT
m-1155	94	12	3.18)and	3.18)and	NUM
m-1155	94	13	�	�	PROPN
m-1155	94	14	∈s	∈s	PROPN
m-1155	94	15	is	be	AUX
m-1155	94	16	a	a	DET
m-1155	94	17	unique	unique	ADJ
m-1155	94	18	solution	solution	NOUN
m-1155	94	19	of	of	ADP
m-1155	94	20	(	(	PUNCT
m-1155	94	21	3.17	3.17	NUM
m-1155	94	22	)	)	PUNCT
m-1155	94	23	.	.	PUNCT
m-1155	95	1	then	then	ADV
m-1155	95	2	∀ε	∀ε	X
m-1155	95	3	>	>	X
m-1155	95	4	0	0	NUM
m-1155	95	5	;	;	PUNCT
m-1155	95	6	�	�	PROPN
m-1155	95	7	�	�	PROPN
m-1155	95	8	[	[	X
m-1155	95	9	0	0	NUM
m-1155	95	10	,	,	PUNCT
m-1155	95	11	�	�	PROPN
m-1155	95	12	�	�	PROPN
m-1155	95	13	�	�	PROPN
m-1155	95	14	�	�	PROPN
m-1155	95	15	]	]	PUNCT
m-1155	95	16	,	,	PUNCT
m-1155	95	17	we	we	PRON
m-1155	95	18	have	have	VERB
m-1155	95	19	ijo	ijo	NOUN
m-1155	95	20	journals	journal	NOUN
m-1155	95	21	volume	volume	NOUN
m-1155	95	22	08	08	NUM
m-1155	96	1	|	|	ADV
m-1155	96	2	issue	issue	NOUN
m-1155	96	3	09	09	NUM
m-1155	96	4	|	|	ADV
m-1155	96	5	september	september	PROPN
m-1155	96	6	2025	2025	NUM
m-1155	97	1	|	|	ADV
m-1155	97	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-1155	97	3	48	48	NUM
m-1155	97	4	ijo	ijo	PROPN
m-1155	97	5	international	international	PROPN
m-1155	97	6	journal	journal	PROPN
m-1155	97	7	of	of	ADP
m-1155	97	8	mathematics	mathematics	PROPN
m-1155	97	9	(	(	PUNCT
m-1155	97	10	issn	issn	PROPN
m-1155	97	11	:	:	PUNCT
m-1155	97	12	2992	2992	NUM
m-1155	97	13	-	-	SYM
m-1155	97	14	4421	4421	NUM
m-1155	97	15	)	)	PUNCT
m-1155	97	16	thomas	thomas	PROPN
m-1155	97	17	,	,	PUNCT
m-1155	98	1	henry	henry	PROPN
m-1155	98	2	sylvester	sylvester	PROPN
m-1155	98	3	*	*	PUNCT
m-1155	98	4	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-1155	98	5	volume	volume	NOUN
m-1155	98	6	08	08	NUM
m-1155	98	7	||	||	PROPN
m-1155	98	8	issue	issue	NOUN
m-1155	98	9	09	09	NUM
m-1155	98	10	||	||	NOUN
m-1155	98	11	september	september	PROPN
m-1155	98	12	,	,	PUNCT
m-1155	98	13	2025	2025	NUM
m-1155	98	14	||	||	PUNCT
m-1155	99	1	“	"	PUNCT
m-1155	99	2	caputo	caputo	PROPN
m-1155	99	3	-	-	PUNCT
m-1155	99	4	fabrizio	fabrizio	PROPN
m-1155	99	5	fractional	fractional	ADJ
m-1155	99	6	drivatives	drivative	NOUN
m-1155	99	7	of	of	ADP
m-1155	99	8	age	age	NOUN
m-1155	99	9	-	-	PUNCT
m-1155	99	10	structured	structure	VERB
m-1155	99	11	dipptheria	dipptheria	NOUN
m-1155	99	12	infection	infection	NOUN
m-1155	99	13	model	model	NOUN
m-1155	99	14	with	with	ADP
m-1155	99	15	laplace	laplace	NOUN
m-1155	99	16	adomian	adomian	NOUN
m-1155	99	17	decomposition	decomposition	NOUN
m-1155	99	18	analysis	analysis	NOUN
m-1155	99	19	"	"	PUNCT
m-1155	99	20	|	|	PROPN
m-1155	99	21	�	�	PROPN
m-1155	99	22	�	�	PROPN
m-1155	99	23	(	(	PUNCT
m-1155	99	24	�	�	PROPN
m-1155	99	25	)	)	PUNCT
m-1155	99	26	−	−	PROPN
m-1155	99	27	�	�	PROPN
m-1155	99	28	(	(	PUNCT
m-1155	99	29	�	�	NOUN
m-1155	99	30	)	)	PUNCT
m-1155	99	31	|	|	NOUN
m-1155	99	32	=	=	SYM
m-1155	99	33	�	�	PROPN
m-1155	99	34	�	�	PROPN
m-1155	99	35	�	�	PROPN
m-1155	99	36	(	(	PUNCT
m-1155	99	37	�	�	PROPN
m-1155	99	38	)	)	PUNCT
m-1155	99	39	−	−	PROPN
m-1155	99	40	�	�	PROPN
m-1155	99	41	�	�	PROPN
m-1155	99	42	�	�	PROPN
m-1155	99	43	(	(	PUNCT
m-1155	99	44	�	�	PROPN
m-1155	99	45	)	)	PUNCT
m-1155	99	46	−	−	PROPN
m-1155	99	47	2(1	2(1	NUM
m-1155	99	48	−	−	PROPN
m-1155	99	49	�	�	PROPN
m-1155	99	50	)	)	PUNCT
m-1155	99	51	(	(	PUNCT
m-1155	99	52	2	2	NUM
m-1155	99	53	−	−	PROPN
m-1155	99	54	�	�	SYM
m-1155	99	55	)	)	PUNCT
m-1155	99	56	ℱ	ℱ	PROPN
m-1155	99	57	(	(	PUNCT
m-1155	99	58	�	�	PROPN
m-1155	99	59	)	)	PUNCT
m-1155	99	60	�	�	PROPN
m-1155	99	61	�	�	PROPN
m-1155	99	62	(	(	PUNCT
m-1155	99	63	�	�	PROPN
m-1155	99	64	,	,	PUNCT
m-1155	99	65	�	�	PROPN
m-1155	99	66	)	)	PUNCT
m-1155	99	67	−	−	PROPN
m-1155	99	68	2	2	NUM
m-1155	99	69	�	�	PROPN
m-1155	99	70	(	(	PUNCT
m-1155	99	71	2	2	NUM
m-1155	99	72	−	−	PROPN
m-1155	99	73	�	�	SYM
m-1155	99	74	)	)	PUNCT
m-1155	99	75	ℱ	ℱ	PROPN
m-1155	99	76	(	(	PUNCT
m-1155	99	77	�	�	PROPN
m-1155	99	78	)	)	PUNCT
m-1155	99	79	�	�	PROPN
m-1155	99	80	ℒ	ℒ	PROPN
m-1155	99	81	�	�	PROPN
m-1155	99	82	�	�	PROPN
m-1155	99	83	.	.	PUNCT
m-1155	99	84	�	�	PROPN
m-1155	99	85	�	�	PROPN
m-1155	99	86	(	(	PUNCT
m-1155	99	87	�	�	PROPN
m-1155	99	88	)	)	PUNCT
m-1155	99	89	�	�	PROPN
m-1155	99	90	�	�	PROPN
m-1155	99	91	�	�	PROPN
m-1155	99	92	�	�	PROPN
m-1155	99	93	�	�	PROPN
m-1155	99	94	�	�	PROPN
m-1155	99	95	�	�	PROPN
m-1155	99	96	�	�	PROPN
m-1155	99	97	[	[	NOUN
m-1155	99	98	�	�	PROPN
m-1155	99	99	,	,	PUNCT
m-1155	99	100	�	�	PROPN
m-1155	99	101	�	�	PROPN
m-1155	99	102	�	�	PROPN
m-1155	99	103	�	�	PROPN
m-1155	99	104	]	]	PUNCT
m-1155	99	105	�	�	PROPN
m-1155	99	106	�	�	PROPN
m-1155	99	107	�	�	PROPN
m-1155	99	108	≤	≤	PROPN
m-1155	99	109	�	�	PROPN
m-1155	99	110	�	�	PROPN
m-1155	99	111	�	�	PROPN
m-1155	99	112	(	(	PUNCT
m-1155	99	113	�	�	PROPN
m-1155	99	114	)	)	PUNCT
m-1155	99	115	−	−	PROPN
m-1155	99	116	�	�	PROPN
m-1155	99	117	�	�	PROPN
m-1155	99	118	�	�	PROPN
m-1155	99	119	(	(	PUNCT
m-1155	99	120	�	�	PROPN
m-1155	99	121	)	)	PUNCT
m-1155	99	122	−	−	PROPN
m-1155	99	123	2(1	2(1	NUM
m-1155	99	124	−	−	PROPN
m-1155	99	125	�	�	PROPN
m-1155	99	126	)	)	PUNCT
m-1155	99	127	(	(	PUNCT
m-1155	99	128	2	2	NUM
m-1155	99	129	−	−	PROPN
m-1155	99	130	�	�	SYM
m-1155	99	131	)	)	PUNCT
m-1155	99	132	ℱ	ℱ	PROPN
m-1155	99	133	(	(	PUNCT
m-1155	99	134	�	�	PROPN
m-1155	99	135	)	)	PUNCT
m-1155	99	136	�	�	PROPN
m-1155	99	137	�	�	PROPN
m-1155	99	138	(	(	PUNCT
m-1155	99	139	�	�	PROPN
m-1155	99	140	,	,	PUNCT
m-1155	99	141	�	�	PROPN
m-1155	99	142	)	)	PUNCT
m-1155	99	143	−	−	PROPN
m-1155	99	144	2	2	NUM
m-1155	99	145	�	�	PROPN
m-1155	99	146	(	(	PUNCT
m-1155	99	147	2	2	NUM
m-1155	99	148	−	−	PROPN
m-1155	99	149	�	�	SYM
m-1155	99	150	)	)	PUNCT
m-1155	99	151	ℱ	ℱ	PROPN
m-1155	99	152	(	(	PUNCT
m-1155	99	153	�	�	PROPN
m-1155	99	154	)	)	PUNCT
m-1155	99	155	�	�	PROPN
m-1155	99	156	ℒ	ℒ	PROPN
m-1155	99	157	�	�	PROPN
m-1155	99	158	�	�	PROPN
m-1155	99	159	.	.	PUNCT
m-1155	99	160	�	�	PROPN
m-1155	99	161	�	�	PROPN
m-1155	99	162	(	(	PUNCT
m-1155	99	163	�	�	PROPN
m-1155	99	164	)	)	PUNCT
m-1155	99	165	�	�	PROPN
m-1155	99	166	�	�	PROPN
m-1155	99	167	�	�	PROPN
m-1155	99	168	�	�	PROPN
m-1155	99	169	�	�	PROPN
m-1155	99	170	�	�	PROPN
m-1155	99	171	�	�	PROPN
m-1155	99	172	�	�	PROPN
m-1155	99	173	[	[	NOUN
m-1155	99	174	�	�	PROPN
m-1155	99	175	,	,	PUNCT
m-1155	99	176	�	�	PROPN
m-1155	99	177	�	�	PROPN
m-1155	99	178	�	�	PROPN
m-1155	99	179	�	�	PROPN
m-1155	99	180	]	]	PUNCT
m-1155	99	181	�	�	PROPN
m-1155	99	182	�	�	PROPN
m-1155	99	183	�	�	PROPN
m-1155	99	184	+	+	SYM
m-1155	99	185	�	�	PROPN
m-1155	99	186	�	�	PROPN
m-1155	99	187	2(1	2(1	NUM
m-1155	99	188	−	−	PROPN
m-1155	99	189	�	�	PROPN
m-1155	99	190	)	)	PUNCT
m-1155	99	191	(	(	PUNCT
m-1155	99	192	2	2	NUM
m-1155	99	193	−	−	PROPN
m-1155	99	194	�	�	SYM
m-1155	99	195	)	)	PUNCT
m-1155	99	196	ℱ	ℱ	PROPN
m-1155	99	197	(	(	PUNCT
m-1155	99	198	�	�	PROPN
m-1155	99	199	)	)	PUNCT
m-1155	99	200	�	�	PROPN
m-1155	99	201	�	�	PROPN
m-1155	99	202	(	(	PUNCT
m-1155	99	203	�	�	PROPN
m-1155	99	204	,	,	PUNCT
m-1155	99	205	�	�	PROPN
m-1155	99	206	)	)	PUNCT
m-1155	99	207	−	−	PROPN
m-1155	99	208	2(1	2(1	NUM
m-1155	99	209	−	−	PROPN
m-1155	99	210	�	�	PROPN
m-1155	99	211	)	)	PUNCT
m-1155	99	212	(	(	PUNCT
m-1155	99	213	2	2	NUM
m-1155	99	214	−	−	PROPN
m-1155	99	215	�	�	SYM
m-1155	99	216	)	)	PUNCT
m-1155	99	217	ℱ	ℱ	PROPN
m-1155	99	218	(	(	PUNCT
m-1155	99	219	�	�	PROPN
m-1155	99	220	)	)	PUNCT
m-1155	99	221	�	�	PROPN
m-1155	99	222	(	(	PUNCT
m-1155	99	223	�	�	PROPN
m-1155	99	224	,	,	PUNCT
m-1155	99	225	�	�	PROPN
m-1155	99	226	)	)	PUNCT
m-1155	99	227	�	�	PROPN
m-1155	99	228	�	�	PROPN
m-1155	99	229	�	�	PROPN
m-1155	99	230	�	�	PROPN
m-1155	99	231	[	[	NOUN
m-1155	99	232	�	�	PROPN
m-1155	99	233	,	,	PUNCT
m-1155	99	234	�	�	PROPN
m-1155	99	235	�	�	PROPN
m-1155	99	236	�	�	PROPN
m-1155	99	237	�	�	PROPN
m-1155	99	238	]	]	PUNCT
m-1155	99	239	�	�	PROPN
m-1155	99	240	�	�	PROPN
m-1155	99	241	�	�	PROPN
m-1155	99	242	+	+	CCONJ
m-1155	99	243	2	2	NUM
m-1155	99	244	�	�	PROPN
m-1155	99	245	(	(	PUNCT
m-1155	99	246	2	2	NUM
m-1155	99	247	−	−	PROPN
m-1155	99	248	�	�	SYM
m-1155	99	249	)	)	PUNCT
m-1155	99	250	ℱ	ℱ	PROPN
m-1155	99	251	(	(	PUNCT
m-1155	99	252	�	�	PROPN
m-1155	99	253	)	)	PUNCT
m-1155	99	254	�	�	PROPN
m-1155	99	255	�	�	PROPN
m-1155	99	256	ℒ	ℒ	PROPN
m-1155	99	257	�	�	PROPN
m-1155	99	258	�	�	PROPN
m-1155	99	259	.	.	PUNCT
m-1155	99	260	�	�	PROPN
m-1155	99	261	�	�	PROPN
m-1155	99	262	(	(	PUNCT
m-1155	99	263	�	�	PROPN
m-1155	99	264	)	)	PUNCT
m-1155	99	265	�	�	PROPN
m-1155	99	266	−	−	PROPN
m-1155	99	267	ℒ	ℒ	PROPN
m-1155	99	268	�	�	PROPN
m-1155	99	269	�	�	PROPN
m-1155	99	270	.	.	PUNCT
m-1155	99	271	�	�	PROPN
m-1155	99	272	(	(	PUNCT
m-1155	99	273	�	�	PROPN
m-1155	99	274	)	)	PUNCT
m-1155	99	275	�	�	PROPN
m-1155	99	276	�	�	PROPN
m-1155	99	277	�	�	PROPN
m-1155	99	278	�	�	PROPN
m-1155	99	279	�	�	PROPN
m-1155	99	280	�	�	PROPN
m-1155	99	281	�	�	PROPN
m-1155	99	282	�	�	PROPN
m-1155	99	283	[	[	NOUN
m-1155	99	284	�	�	PROPN
m-1155	99	285	,	,	PUNCT
m-1155	99	286	�	�	PROPN
m-1155	99	287	�	�	PROPN
m-1155	99	288	�	�	PROPN
m-1155	99	289	�	�	PROPN
m-1155	99	290	]	]	PUNCT
m-1155	99	291	�	�	PROPN
m-1155	99	292	�	�	PROPN
m-1155	99	293	�	�	PROPN
m-1155	99	294	≤	≤	PROPN
m-1155	99	295	�	�	PROPN
m-1155	99	296	�	�	PROPN
m-1155	99	297	�	�	PROPN
m-1155	99	298	(	(	PUNCT
m-1155	99	299	�	�	PROPN
m-1155	99	300	)	)	PUNCT
m-1155	99	301	−	−	PROPN
m-1155	99	302	�	�	PROPN
m-1155	99	303	�	�	PROPN
m-1155	99	304	�	�	PROPN
m-1155	99	305	(	(	PUNCT
m-1155	99	306	�	�	PROPN
m-1155	99	307	)	)	PUNCT
m-1155	99	308	−	−	PROPN
m-1155	99	309	2(1	2(1	NUM
m-1155	99	310	−	−	PROPN
m-1155	99	311	�	�	PROPN
m-1155	99	312	)	)	PUNCT
m-1155	99	313	(	(	PUNCT
m-1155	99	314	2	2	NUM
m-1155	99	315	−	−	PROPN
m-1155	99	316	�	�	SYM
m-1155	99	317	)	)	PUNCT
m-1155	99	318	ℱ	ℱ	PROPN
m-1155	99	319	(	(	PUNCT
m-1155	99	320	�	�	PROPN
m-1155	99	321	)	)	PUNCT
m-1155	99	322	�	�	PROPN
m-1155	99	323	�	�	PROPN
m-1155	99	324	(	(	PUNCT
m-1155	99	325	�	�	PROPN
m-1155	99	326	,	,	PUNCT
m-1155	99	327	�	�	PROPN
m-1155	99	328	)	)	PUNCT
m-1155	99	329	−	−	PROPN
m-1155	99	330	2	2	NUM
m-1155	99	331	�	�	PROPN
m-1155	99	332	(	(	PUNCT
m-1155	99	333	2	2	NUM
m-1155	99	334	−	−	PROPN
m-1155	99	335	�	�	SYM
m-1155	99	336	)	)	PUNCT
m-1155	99	337	ℱ	ℱ	PROPN
m-1155	99	338	(	(	PUNCT
m-1155	99	339	�	�	PROPN
m-1155	99	340	)	)	PUNCT
m-1155	99	341	�	�	PROPN
m-1155	99	342	ℒ	ℒ	PROPN
m-1155	99	343	�	�	PROPN
m-1155	99	344	�	�	PROPN
m-1155	99	345	.	.	PUNCT
m-1155	99	346	�	�	PROPN
m-1155	99	347	�	�	PROPN
m-1155	99	348	(	(	PUNCT
m-1155	99	349	�	�	PROPN
m-1155	99	350	)	)	PUNCT
m-1155	99	351	�	�	PROPN
m-1155	99	352	�	�	PROPN
m-1155	99	353	�	�	PROPN
m-1155	99	354	�	�	PROPN
m-1155	99	355	�	�	PROPN
m-1155	99	356	�	�	PROPN
m-1155	99	357	�	�	PROPN
m-1155	99	358	�	�	PROPN
m-1155	99	359	[	[	NOUN
m-1155	99	360	�	�	PROPN
m-1155	99	361	,	,	PUNCT
m-1155	99	362	�	�	PROPN
m-1155	99	363	�	�	PROPN
m-1155	99	364	�	�	PROPN
m-1155	99	365	�	�	PROPN
m-1155	99	366	]	]	PUNCT
m-1155	99	367	�	�	PROPN
m-1155	99	368	�	�	PROPN
m-1155	99	369	�	�	PROPN
m-1155	99	370	+	+	CCONJ
m-1155	99	371	2(1	2(1	NUM
m-1155	99	372	−	−	NOUN
m-1155	99	373	�	�	PROPN
m-1155	99	374	)	)	PUNCT
m-1155	99	375	(	(	PUNCT
m-1155	99	376	2	2	NUM
m-1155	99	377	−	−	PROPN
m-1155	99	378	�	�	SYM
m-1155	99	379	)	)	PUNCT
m-1155	99	380	ℱ	ℱ	PROPN
m-1155	99	381	(	(	PUNCT
m-1155	99	382	�	�	PROPN
m-1155	99	383	)	)	PUNCT
m-1155	99	384	|	|	NOUN
m-1155	99	385	�	�	PROPN
m-1155	99	386	�	�	PROPN
m-1155	99	387	(	(	PUNCT
m-1155	99	388	�	�	PROPN
m-1155	99	389	,	,	PUNCT
m-1155	99	390	�	�	PROPN
m-1155	99	391	)	)	PUNCT
m-1155	99	392	−	−	PROPN
m-1155	99	393	�	�	PROPN
m-1155	99	394	(	(	PUNCT
m-1155	99	395	�	�	PROPN
m-1155	99	396	,	,	PUNCT
m-1155	99	397	�	�	PROPN
m-1155	99	398	)	)	PUNCT
m-1155	99	399	|	|	PROPN
m-1155	99	400	�	�	PROPN
m-1155	99	401	�	�	PROPN
m-1155	99	402	[	[	NOUN
m-1155	99	403	�	�	PROPN
m-1155	99	404	,	,	PUNCT
m-1155	99	405	�	�	PROPN
m-1155	99	406	�	�	PROPN
m-1155	99	407	�	�	PROPN
m-1155	99	408	�	�	PROPN
m-1155	99	409	]	]	PUNCT
m-1155	99	410	�	�	PROPN
m-1155	99	411	�	�	PROPN
m-1155	99	412	�	�	PROPN
m-1155	99	413	+	+	CCONJ
m-1155	99	414	2	2	NUM
m-1155	99	415	�	�	PROPN
m-1155	99	416	(	(	PUNCT
m-1155	99	417	2	2	NUM
m-1155	99	418	−	−	PROPN
m-1155	99	419	�	�	SYM
m-1155	99	420	)	)	PUNCT
m-1155	99	421	ℱ	ℱ	PROPN
m-1155	99	422	(	(	PUNCT
m-1155	99	423	�	�	PROPN
m-1155	99	424	)	)	PUNCT
m-1155	99	425	�	�	PROPN
m-1155	99	426	|	|	NOUN
m-1155	99	427	�	�	PROPN
m-1155	99	428	�	�	PROPN
m-1155	99	429	(	(	PUNCT
m-1155	99	430	�	�	PROPN
m-1155	99	431	)	)	PUNCT
m-1155	99	432	−	−	PROPN
m-1155	99	433	�	�	PROPN
m-1155	99	434	(	(	PUNCT
m-1155	99	435	�	�	PROPN
m-1155	99	436	)	)	PUNCT
m-1155	99	437	|	|	PROPN
m-1155	99	438	�	�	PROPN
m-1155	99	439	�	�	PROPN
m-1155	99	440	�	�	PROPN
m-1155	99	441	�	�	PROPN
m-1155	99	442	�	�	PROPN
m-1155	99	443	�	�	PROPN
m-1155	99	444	[	[	NOUN
m-1155	99	445	�	�	PROPN
m-1155	99	446	,	,	PUNCT
m-1155	99	447	�	�	PROPN
m-1155	99	448	�	�	PROPN
m-1155	99	449	�	�	PROPN
m-1155	99	450	�	�	PROPN
m-1155	99	451	]	]	PUNCT
m-1155	99	452	�	�	PROPN
m-1155	99	453	�	�	PROPN
m-1155	99	454	�	�	PROPN
m-1155	99	455	≤	≤	PROPN
m-1155	99	456	�	�	PROPN
m-1155	99	457	ω	ω	NUM
m-1155	99	458	+	+	CCONJ
m-1155	99	459	ωℳ|	ωℳ|	PROPN
m-1155	99	460	�	�	PROPN
m-1155	99	461	�	�	PROPN
m-1155	99	462	−	−	PROPN
m-1155	99	463	�	�	PROPN
m-1155	99	464	|	|	CCONJ
m-1155	99	465	thus	thus	ADV
m-1155	99	466	,	,	PUNCT
m-1155	99	467	we	we	PRON
m-1155	99	468	have	have	VERB
m-1155	99	469	‖	‖	PROPN
m-1155	99	470	�	�	PROPN
m-1155	99	471	�	�	PROPN
m-1155	99	472	−	−	PROPN
m-1155	99	473	�	�	PROPN
m-1155	99	474	‖	‖	PROPN
m-1155	99	475	≤	≤	PROPN
m-1155	99	476	�	�	PROPN
m-1155	99	477	�	�	PROPN
m-1155	99	478	,	,	PUNCT
m-1155	99	479	�	�	PROPN
m-1155	99	480	ℎ	ℎ	PROPN
m-1155	99	481	�	�	PROPN
m-1155	99	482	�	�	PROPN
m-1155	99	483	�	�	PROPN
m-1155	99	484	�	�	PROPN
m-1155	99	485	=	=	SYM
m-1155	99	486	�	�	PROPN
m-1155	99	487	�	�	PROPN
m-1155	99	488	�	�	PROPN
m-1155	99	489	�	�	PROPN
m-1155	99	490	ℳ	ℳ	PROPN
m-1155	99	491	(	(	PUNCT
m-1155	99	492	3.20	3.20	NUM
m-1155	99	493	)	)	PUNCT
m-1155	99	494	hence	hence	ADV
m-1155	99	495	equating	equate	VERB
m-1155	99	496	�	�	PROPN
m-1155	99	497	(	(	PUNCT
m-1155	99	498	�	�	PROPN
m-1155	99	499	)	)	PUNCT
m-1155	99	500	=	=	SYM
m-1155	99	501	�	�	PROPN
m-1155	99	502	�	�	PROPN
m-1155	99	503	,	,	PUNCT
m-1155	99	504	so	so	SCONJ
m-1155	99	505	that	that	SCONJ
m-1155	99	506	�	�	PROPN
m-1155	99	507	(	(	PUNCT
m-1155	99	508	0	0	NUM
m-1155	99	509	)	)	PUNCT
m-1155	99	510	=	=	SYM
m-1155	99	511	0we	0we	NOUN
m-1155	99	512	conclude	conclude	VERB
m-1155	99	513	that	that	SCONJ
m-1155	99	514	the	the	DET
m-1155	99	515	model	model	NOUN
m-1155	99	516	(	(	PUNCT
m-1155	99	517	3.16),is	3.16),is	NUM
m-1155	99	518	both	both	CCONJ
m-1155	99	519	uh	uh	INTJ
m-1155	99	520	and	and	CCONJ
m-1155	99	521	generalized	generalize	VERB
m-1155	99	522	uh	uh	INTJ
m-1155	99	523	stable	stable	ADJ
m-1155	99	524	.	.	PUNCT
m-1155	99	525	4.0	4.0	NUM
m-1155	99	526	iterative	iterative	NOUN
m-1155	99	527	schemes	scheme	NOUN
m-1155	99	528	involving	involve	VERB
m-1155	99	529	the	the	DET
m-1155	99	530	caputo	caputo	PROPN
m-1155	99	531	fractional	fractional	PROPN
m-1155	99	532	operators	operator	NOUN
m-1155	99	533	this	this	DET
m-1155	99	534	section	section	NOUN
m-1155	99	535	,	,	PUNCT
m-1155	99	536	we	we	PRON
m-1155	99	537	shall	shall	AUX
m-1155	99	538	study	study	VERB
m-1155	99	539	an	an	DET
m-1155	99	540	iterative	iterative	NOUN
m-1155	99	541	scheme	scheme	NOUN
m-1155	99	542	using	use	VERB
m-1155	99	543	the	the	DET
m-1155	99	544	caputo	caputo	PROPN
m-1155	99	545	-	-	PUNCT
m-1155	99	546	fabrizio	fabrizio	PROPN
m-1155	99	547	fractional	fractional	ADJ
m-1155	99	548	derivative	derivative	NOUN
m-1155	99	549	.	.	PUNCT
m-1155	100	1	we	we	PRON
m-1155	100	2	seek	seek	VERB
m-1155	100	3	to	to	PART
m-1155	100	4	derive	derive	VERB
m-1155	100	5	explicit	explicit	ADJ
m-1155	100	6	expressions	expression	NOUN
m-1155	100	7	for	for	ADP
m-1155	100	8	the	the	DET
m-1155	100	9	unknown	unknown	ADJ
m-1155	100	10	functions	function	NOUN
m-1155	100	11	,	,	PUNCT
m-1155	100	12	�	�	PROPN
m-1155	100	13	�	�	PROPN
m-1155	100	14	(	(	PUNCT
m-1155	100	15	�	�	PROPN
m-1155	100	16	)	)	PUNCT
m-1155	100	17	,	,	PUNCT
m-1155	100	18	�	�	PROPN
m-1155	100	19	�	�	PROPN
m-1155	100	20	(	(	PUNCT
m-1155	100	21	�	�	PROPN
m-1155	100	22	)	)	PUNCT
m-1155	100	23	,	,	PUNCT
m-1155	100	24	�	�	PROPN
m-1155	100	25	(	(	PUNCT
m-1155	100	26	�	�	PROPN
m-1155	100	27	)	)	PUNCT
m-1155	100	28	,	,	PUNCT
m-1155	100	29	�	�	PROPN
m-1155	100	30	(	(	PUNCT
m-1155	100	31	�	�	PROPN
m-1155	100	32	)	)	PUNCT
m-1155	100	33	,	,	PUNCT
m-1155	100	34	�	�	PROPN
m-1155	100	35	�	�	PROPN
m-1155	100	36	(	(	PUNCT
m-1155	100	37	�	�	PROPN
m-1155	100	38	)	)	PUNCT
m-1155	100	39	,	,	PUNCT
m-1155	100	40	�	�	PROPN
m-1155	100	41	�	�	PROPN
m-1155	100	42	(	(	PUNCT
m-1155	100	43	�	�	PROPN
m-1155	100	44	)	)	PUNCT
m-1155	100	45	,	,	PUNCT
m-1155	100	46	�	�	PROPN
m-1155	100	47	(	(	PUNCT
m-1155	100	48	�	�	PROPN
m-1155	100	49	)	)	PUNCT
m-1155	100	50	,	,	PUNCT
m-1155	100	51	�	�	PROPN
m-1155	100	52	�	�	PROPN
m-1155	100	53	(	(	PUNCT
m-1155	100	54	�	�	PROPN
m-1155	100	55	)	)	PUNCT
m-1155	100	56	using	use	VERB
m-1155	100	57	series	series	NOUN
m-1155	100	58	representation	representation	NOUN
m-1155	100	59	approach	approach	NOUN
m-1155	100	60	based	base	VERB
m-1155	100	61	on	on	ADP
m-1155	100	62	ijo	ijo	PROPN
m-1155	100	63	journals	journal	NOUN
m-1155	100	64	volume	volume	NOUN
m-1155	100	65	08	08	NUM
m-1155	101	1	|	|	ADV
m-1155	101	2	issue	issue	NOUN
m-1155	101	3	09	09	NUM
m-1155	101	4	|	|	ADV
m-1155	101	5	september	september	PROPN
m-1155	101	6	2025	2025	NUM
m-1155	102	1	|	|	ADV
m-1155	102	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-1155	102	3	49	49	NUM
m-1155	102	4	ijo	ijo	PROPN
m-1155	102	5	international	international	PROPN
m-1155	102	6	journal	journal	PROPN
m-1155	102	7	of	of	ADP
m-1155	102	8	mathematics	mathematics	PROPN
m-1155	102	9	(	(	PUNCT
m-1155	102	10	issn	issn	PROPN
m-1155	102	11	:	:	PUNCT
m-1155	102	12	2992	2992	NUM
m-1155	102	13	-	-	SYM
m-1155	102	14	4421	4421	NUM
m-1155	102	15	)	)	PUNCT
m-1155	102	16	thomas	thomas	PROPN
m-1155	102	17	,	,	PUNCT
m-1155	102	18	henry	henry	PROPN
m-1155	102	19	sylvester	sylvester	PROPN
m-1155	102	20	*	*	PUNCT
m-1155	102	21	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-1155	102	22	volume	volume	NOUN
m-1155	102	23	08	08	NUM
m-1155	102	24	||	||	PROPN
m-1155	102	25	issue	issue	NOUN
m-1155	102	26	09	09	NUM
m-1155	102	27	||	||	NOUN
m-1155	102	28	september	september	PROPN
m-1155	102	29	,	,	PUNCT
m-1155	102	30	2025	2025	NUM
m-1155	102	31	||	||	PUNCT
m-1155	103	1	“	"	PUNCT
m-1155	103	2	caputo	caputo	PROPN
m-1155	103	3	-	-	PUNCT
m-1155	103	4	fabrizio	fabrizio	PROPN
m-1155	103	5	fractional	fractional	ADJ
m-1155	103	6	drivatives	drivative	NOUN
m-1155	103	7	of	of	ADP
m-1155	103	8	age	age	NOUN
m-1155	103	9	-	-	PUNCT
m-1155	103	10	structured	structure	VERB
m-1155	103	11	dipptheria	dipptheria	NOUN
m-1155	103	12	infection	infection	NOUN
m-1155	103	13	model	model	NOUN
m-1155	103	14	with	with	ADP
m-1155	103	15	laplace	laplace	NOUN
m-1155	103	16	adomian	adomian	NOUN
m-1155	103	17	decomposition	decomposition	NOUN
m-1155	103	18	analysis	analysis	NOUN
m-1155	103	19	"	"	PUNCT
m-1155	103	20	laplace	laplace	NOUN
m-1155	103	21	adomian	adomian	NOUN
m-1155	103	22	decomposition	decomposition	NOUN
m-1155	103	23	method	method	NOUN
m-1155	103	24	.	.	PUNCT
m-1155	104	1	the	the	DET
m-1155	104	2	system	system	NOUN
m-1155	104	3	is	be	AUX
m-1155	104	4	transformed	transform	VERB
m-1155	104	5	to	to	ADP
m-1155	104	6	algebraic	algebraic	ADJ
m-1155	104	7	equations	equation	NOUN
m-1155	104	8	by	by	ADP
m-1155	104	9	the	the	DET
m-1155	104	10	application	application	NOUN
m-1155	104	11	of	of	ADP
m-1155	104	12	laplace	laplace	NOUN
m-1155	104	13	transform	transform	NOUN
m-1155	104	14	to	to	ADP
m-1155	104	15	the	the	DET
m-1155	104	16	caputo	caputo	PROPN
m-1155	104	17	-	-	PUNCT
m-1155	104	18	fabrizio	fabrizio	PROPN
m-1155	104	19	fractional	fractional	ADJ
m-1155	104	20	order	order	NOUN
m-1155	104	21	derivative	derivative	NOUN
m-1155	104	22	(	(	PUNCT
m-1155	104	23	3.1	3.1	NUM
m-1155	104	24	)	)	PUNCT
m-1155	104	25	–	–	PUNCT
m-1155	104	26	(	(	PUNCT
m-1155	104	27	3.8	3.8	NUM
m-1155	104	28	)	)	PUNCT
m-1155	104	29	.	.	PUNCT
m-1155	105	1	laplace	laplace	PROPN
m-1155	105	2	adomian	adomian	NOUN
m-1155	105	3	decomposition	decomposition	NOUN
m-1155	105	4	method	method	NOUN
m-1155	105	5	empowers	empower	VERB
m-1155	105	6	us	we	PRON
m-1155	105	7	to	to	PART
m-1155	105	8	construct	construct	VERB
m-1155	105	9	a	a	DET
m-1155	105	10	convergent	convergent	NOUN
m-1155	105	11	series	series	NOUN
m-1155	105	12	solution	solution	NOUN
m-1155	105	13	for	for	ADP
m-1155	105	14	�	�	PROPN
m-1155	105	15	�	�	PROPN
m-1155	105	16	(	(	PUNCT
m-1155	105	17	�	�	PROPN
m-1155	105	18	)	)	PUNCT
m-1155	105	19	,	,	PUNCT
m-1155	105	20	�	�	PROPN
m-1155	105	21	�	�	PROPN
m-1155	105	22	(	(	PUNCT
m-1155	105	23	�	�	PROPN
m-1155	105	24	)	)	PUNCT
m-1155	105	25	,	,	PUNCT
m-1155	105	26	�	�	PROPN
m-1155	105	27	(	(	PUNCT
m-1155	105	28	�	�	PROPN
m-1155	105	29	)	)	PUNCT
m-1155	105	30	,	,	PUNCT
m-1155	105	31	�	�	PROPN
m-1155	105	32	(	(	PUNCT
m-1155	105	33	�	�	PROPN
m-1155	105	34	)	)	PUNCT
m-1155	105	35	,	,	PUNCT
m-1155	105	36	�	�	PROPN
m-1155	105	37	�	�	PROPN
m-1155	105	38	(	(	PUNCT
m-1155	105	39	�	�	PROPN
m-1155	105	40	)	)	PUNCT
m-1155	105	41	,	,	PUNCT
m-1155	105	42	�	�	PROPN
m-1155	105	43	�	�	PROPN
m-1155	105	44	(	(	PUNCT
m-1155	105	45	�	�	PROPN
m-1155	105	46	)	)	PUNCT
m-1155	105	47	,	,	PUNCT
m-1155	105	48	�	�	PROPN
m-1155	105	49	(	(	PUNCT
m-1155	105	50	�	�	PROPN
m-1155	105	51	)	)	PUNCT
m-1155	105	52	,	,	PUNCT
m-1155	105	53	�	�	PROPN
m-1155	105	54	�	�	PROPN
m-1155	105	55	(	(	PUNCT
m-1155	105	56	�	�	PROPN
m-1155	105	57	)	)	PUNCT
m-1155	105	58	which	which	PRON
m-1155	105	59	can	can	AUX
m-1155	105	60	be	be	AUX
m-1155	105	61	evaluated	evaluate	VERB
m-1155	105	62	numerically	numerically	ADV
m-1155	105	63	to	to	PART
m-1155	105	64	obtain	obtain	VERB
m-1155	105	65	accurate	accurate	ADJ
m-1155	105	66	approximations	approximation	NOUN
m-1155	105	67	.	.	PUNCT
m-1155	106	1	for	for	ADP
m-1155	106	2	the	the	DET
m-1155	106	3	solution	solution	NOUN
m-1155	106	4	of	of	ADP
m-1155	106	5	themodel(3.1)-(3.8	themodel(3.1)-(3.8	NOUN
m-1155	106	6	)	)	PUNCT
m-1155	106	7	,	,	PUNCT
m-1155	106	8	we	we	PRON
m-1155	106	9	shall	shall	AUX
m-1155	106	10	adopt	adopt	VERB
m-1155	106	11	the	the	DET
m-1155	106	12	laplace	laplace	PROPN
m-1155	106	13	adomian	adomian	PROPN
m-1155	106	14	decompositionmethod	decompositionmethod	PROPN
m-1155	106	15	.	.	PUNCT
m-1155	107	1	applying	apply	VERB
m-1155	107	2	the	the	DET
m-1155	107	3	laplace	laplace	NOUN
m-1155	107	4	transform	transform	NOUN
m-1155	107	5	of	of	ADP
m-1155	107	6	the	the	DET
m-1155	107	7	caputo	caputo	PROPN
m-1155	107	8	-	-	PUNCT
m-1155	107	9	fabrizio	fabrizio	PROPN
m-1155	107	10	fractional	fractional	ADJ
m-1155	107	11	operator	operator	NOUN
m-1155	107	12	toboth	toboth	NOUN
m-1155	107	13	sides	side	NOUN
m-1155	107	14	of	of	ADP
m-1155	107	15	the	the	DET
m-1155	107	16	system	system	NOUN
m-1155	107	17	(	(	PUNCT
m-1155	107	18	3.1)-(3.8	3.1)-(3.8	NUM
m-1155	107	19	)	)	PUNCT
m-1155	107	20	,	,	PUNCT
m-1155	107	21	we	we	PRON
m-1155	107	22	have	have	VERB
m-1155	107	23	ℒ	ℒ	PROPN
m-1155	107	24	�	�	PROPN
m-1155	107	25	�	�	PROPN
m-1155	107	26	�	�	PROPN
m-1155	107	27	�	�	PROPN
m-1155	107	28	�	�	PROPN
m-1155	107	29	�	�	PROPN
m-1155	107	30	(	(	PUNCT
m-1155	107	31	�	�	PROPN
m-1155	107	32	)	)	PUNCT
m-1155	107	33	�	�	PROPN
m-1155	107	34	�	�	PROPN
m-1155	107	35	�	�	PROPN
m-1155	107	36	�	�	PROPN
m-1155	107	37	=	=	PROPN
m-1155	107	38	ℒ	ℒ	PROPN
m-1155	107	39	�	�	PROPN
m-1155	107	40	�	�	PROPN
m-1155	107	41	�	�	PROPN
m-1155	107	42	�	�	PROPN
m-1155	107	43	−	−	PROPN
m-1155	107	44	�	�	PROPN
m-1155	107	45	�	�	PROPN
m-1155	107	46	(	(	PUNCT
m-1155	107	47	�	�	PROPN
m-1155	107	48	�	�	PROPN
m-1155	107	49	�	�	PROPN
m-1155	107	50	�	�	PROPN
m-1155	107	51	+	+	SYM
m-1155	107	52	�	�	PROPN
m-1155	107	53	�	�	PROPN
m-1155	107	54	�	�	PROPN
m-1155	107	55	�	�	PROPN
m-1155	107	56	)	)	PUNCT
m-1155	107	57	�	�	PROPN
m-1155	107	58	�	�	PROPN
m-1155	107	59	−	−	PROPN
m-1155	107	60	�	�	PROPN
m-1155	107	61	�	�	PROPN
m-1155	107	62	�	�	PROPN
m-1155	107	63	�	�	PROPN
m-1155	107	64	−	−	PROPN
m-1155	107	65	�	�	PROPN
m-1155	107	66	�	�	PROPN
m-1155	107	67	�	�	PROPN
m-1155	107	68	�	�	PROPN
m-1155	107	69	�	�	PROPN
m-1155	107	70	−	−	PROPN
m-1155	107	71	�	�	PROPN
m-1155	107	72	�	�	PROPN
m-1155	107	73	�	�	PROPN
m-1155	107	74	−	−	PROPN
m-1155	107	75	�	�	PROPN
m-1155	107	76	�	�	PROPN
m-1155	107	77	�	�	PROPN
m-1155	107	78	�	�	PROPN
m-1155	107	79	(	(	PUNCT
m-1155	107	80	4.1.1	4.1.1	NUM
m-1155	107	81	)	)	PUNCT
m-1155	107	82	ℒ	ℒ	PROPN
m-1155	107	83	�	�	PROPN
m-1155	107	84	�	�	PROPN
m-1155	107	85	�	�	PROPN
m-1155	107	86	�	�	PROPN
m-1155	107	87	�	�	PROPN
m-1155	107	88	�	�	PROPN
m-1155	107	89	(	(	PUNCT
m-1155	107	90	�	�	PROPN
m-1155	107	91	)	)	PUNCT
m-1155	107	92	�	�	PROPN
m-1155	107	93	�	�	PROPN
m-1155	107	94	�	�	PROPN
m-1155	107	95	�	�	PROPN
m-1155	107	96	=	=	PROPN
m-1155	107	97	ℒ	ℒ	PROPN
m-1155	107	98	�	�	PROPN
m-1155	107	99	�	�	PROPN
m-1155	107	100	�	�	PROPN
m-1155	107	101	�	�	PROPN
m-1155	107	102	−	−	PROPN
m-1155	107	103	�	�	PROPN
m-1155	107	104	�	�	PROPN
m-1155	107	105	(	(	PUNCT
m-1155	107	106	�	�	PROPN
m-1155	107	107	�	�	PROPN
m-1155	107	108	�	�	PROPN
m-1155	107	109	�	�	PROPN
m-1155	107	110	+	+	SYM
m-1155	107	111	�	�	PROPN
m-1155	107	112	�	�	PROPN
m-1155	107	113	�	�	PROPN
m-1155	107	114	�	�	PROPN
m-1155	107	115	)	)	PUNCT
m-1155	107	116	�	�	PROPN
m-1155	107	117	�	�	PROPN
m-1155	107	118	−	−	PROPN
m-1155	107	119	�	�	PROPN
m-1155	107	120	�	�	PROPN
m-1155	107	121	�	�	PROPN
m-1155	107	122	�	�	PROPN
m-1155	107	123	−	−	PROPN
m-1155	107	124	�	�	PROPN
m-1155	107	125	�	�	PROPN
m-1155	107	126	�	�	PROPN
m-1155	107	127	�	�	PROPN
m-1155	107	128	�	�	PROPN
m-1155	107	129	−	−	PROPN
m-1155	107	130	�	�	PROPN
m-1155	107	131	�	�	PROPN
m-1155	107	132	�	�	PROPN
m-1155	107	133	�	�	PROPN
m-1155	107	134	(	(	PUNCT
m-1155	107	135	4.1.2	4.1.2	NOUN
m-1155	107	136	)	)	PUNCT
m-1155	107	137	ℒ	ℒ	PROPN
m-1155	107	138	�	�	PROPN
m-1155	107	139	�	�	PROPN
m-1155	107	140	�	�	PROPN
m-1155	107	141	�	�	PROPN
m-1155	107	142	�	�	PROPN
m-1155	107	143	(	(	PUNCT
m-1155	107	144	�	�	PROPN
m-1155	107	145	)	)	PUNCT
m-1155	107	146	�	�	PROPN
m-1155	107	147	�	�	PROPN
m-1155	107	148	�	�	PROPN
m-1155	107	149	�	�	PROPN
m-1155	107	150	=	=	PUNCT
m-1155	107	151	ℒ	ℒ	PROPN
m-1155	107	152	{	{	PUNCT
m-1155	107	153	�	�	PROPN
m-1155	107	154	�	�	PROPN
m-1155	107	155	�	�	PROPN
m-1155	107	156	�	�	PROPN
m-1155	107	157	�	�	PROPN
m-1155	107	158	+	+	SYM
m-1155	107	159	�	�	PROPN
m-1155	107	160	�	�	PROPN
m-1155	107	161	�	�	PROPN
m-1155	107	162	�	�	PROPN
m-1155	107	163	�	�	PROPN
m-1155	107	164	−	−	PROPN
m-1155	107	165	�	�	PROPN
m-1155	107	166	�	�	PROPN
m-1155	107	167	−	−	PROPN
m-1155	107	168	�	�	PROPN
m-1155	107	169	�	�	PROPN
m-1155	107	170	}	}	PUNCT
m-1155	107	171	(	(	PUNCT
m-1155	107	172	4.1.3	4.1.3	X
m-1155	107	173	)	)	PUNCT
m-1155	107	174	ℒ	ℒ	PROPN
m-1155	107	175	�	�	PROPN
m-1155	107	176	�	�	PROPN
m-1155	107	177	�	�	PROPN
m-1155	107	178	�	�	PROPN
m-1155	107	179	�	�	PROPN
m-1155	107	180	(	(	PUNCT
m-1155	107	181	�	�	PROPN
m-1155	107	182	)	)	PUNCT
m-1155	107	183	�	�	PROPN
m-1155	107	184	�	�	PROPN
m-1155	107	185	�	�	PROPN
m-1155	107	186	�	�	PROPN
m-1155	107	187	=	=	PROPN
m-1155	107	188	ℒ	ℒ	PROPN
m-1155	107	189	�	�	PROPN
m-1155	107	190	�	�	PROPN
m-1155	107	191	�	�	PROPN
m-1155	107	192	(	(	PUNCT
m-1155	107	193	�	�	PROPN
m-1155	107	194	�	�	PROPN
m-1155	107	195	�	�	PROPN
m-1155	107	196	�	�	PROPN
m-1155	107	197	+	+	SYM
m-1155	107	198	�	�	PROPN
m-1155	107	199	�	�	PROPN
m-1155	107	200	�	�	PROPN
m-1155	107	201	�	�	PROPN
m-1155	107	202	)	)	PUNCT
m-1155	107	203	�	�	PROPN
m-1155	107	204	�	�	PROPN
m-1155	107	205	−	−	PROPN
m-1155	107	206	�	�	PROPN
m-1155	107	207	�	�	PROPN
m-1155	107	208	�	�	PROPN
m-1155	107	209	�	�	PROPN
m-1155	107	210	+	+	CCONJ
m-1155	107	211	�	�	PROPN
m-1155	107	212	�	�	PROPN
m-1155	107	213	(	(	PUNCT
m-1155	107	214	�	�	PROPN
m-1155	107	215	�	�	PROPN
m-1155	107	216	�	�	PROPN
m-1155	107	217	�	�	PROPN
m-1155	107	218	+	+	SYM
m-1155	107	219	�	�	PROPN
m-1155	107	220	�	�	PROPN
m-1155	107	221	�	�	PROPN
m-1155	107	222	�	�	PROPN
m-1155	107	223	)	)	PUNCT
m-1155	107	224	�	�	PROPN
m-1155	107	225	�	�	PROPN
m-1155	107	226	−	−	PROPN
m-1155	107	227	�	�	PROPN
m-1155	107	228	�	�	PROPN
m-1155	107	229	�	�	PROPN
m-1155	107	230	�	�	PROPN
m-1155	107	231	−	−	PROPN
m-1155	107	232	�	�	PROPN
m-1155	107	233	�	�	PROPN
m-1155	107	234	�	�	PROPN
m-1155	107	235	�	�	PROPN
m-1155	107	236	−	−	PROPN
m-1155	107	237	�	�	PROPN
m-1155	107	238	�	�	PROPN
m-1155	107	239	(	(	PUNCT
m-1155	107	240	1	1	NUM
m-1155	107	241	−	−	PROPN
m-1155	107	242	�	�	PROPN
m-1155	107	243	)	)	PUNCT
m-1155	107	244	�	�	PROPN
m-1155	107	245	−	−	PROPN
m-1155	107	246	�	�	PROPN
m-1155	107	247	�	�	PROPN
m-1155	107	248	�	�	PROPN
m-1155	107	249	(	(	PUNCT
m-1155	107	250	4.1.4	4.1.4	NUM
m-1155	107	251	)	)	PUNCT
m-1155	107	252	ℒ	ℒ	PROPN
m-1155	107	253	�	�	PROPN
m-1155	107	254	�	�	PROPN
m-1155	107	255	�	�	PROPN
m-1155	107	256	�	�	PROPN
m-1155	107	257	�	�	PROPN
m-1155	107	258	�	�	PROPN
m-1155	107	259	(	(	PUNCT
m-1155	107	260	�	�	PROPN
m-1155	107	261	)	)	PUNCT
m-1155	107	262	�	�	PROPN
m-1155	107	263	�	�	PROPN
m-1155	107	264	�	�	PROPN
m-1155	107	265	�	�	PROPN
m-1155	107	266	=	=	PUNCT
m-1155	107	267	ℒ	ℒ	PROPN
m-1155	107	268	{	{	PUNCT
m-1155	107	269	�	�	PROPN
m-1155	107	270	�	�	PROPN
m-1155	107	271	�	�	PROPN
m-1155	107	272	�	�	PROPN
m-1155	107	273	−	−	PROPN
m-1155	107	274	�	�	PROPN
m-1155	107	275	�	�	PROPN
m-1155	107	276	�	�	PROPN
m-1155	107	277	�	�	PROPN
m-1155	107	278	−	−	PROPN
m-1155	107	279	�	�	PROPN
m-1155	107	280	�	�	PROPN
m-1155	107	281	�	�	PROPN
m-1155	107	282	�	�	PROPN
m-1155	107	283	−	−	PROPN
m-1155	107	284	�	�	PROPN
m-1155	107	285	�	�	PROPN
m-1155	107	286	�	�	PROPN
m-1155	107	287	−	−	PROPN
m-1155	107	288	�	�	PROPN
m-1155	107	289	�	�	PROPN
m-1155	107	290	�	�	PROPN
m-1155	107	291	}	}	PUNCT
m-1155	107	292	(	(	PUNCT
m-1155	107	293	4.1.5	4.1.5	X
m-1155	107	294	)	)	PUNCT
m-1155	107	295	ℒ	ℒ	PROPN
m-1155	107	296	�	�	PROPN
m-1155	107	297	�	�	PROPN
m-1155	107	298	�	�	PROPN
m-1155	107	299	�	�	PROPN
m-1155	107	300	�	�	PROPN
m-1155	107	301	�	�	PROPN
m-1155	107	302	(	(	PUNCT
m-1155	107	303	�	�	PROPN
m-1155	107	304	)	)	PUNCT
m-1155	107	305	�	�	PROPN
m-1155	107	306	�	�	PROPN
m-1155	107	307	�	�	PROPN
m-1155	107	308	�	�	PROPN
m-1155	107	309	=	=	SYM
m-1155	107	310	ℒ{	ℒ{	PROPN
m-1155	107	311	�	�	PROPN
m-1155	107	312	�	�	PROPN
m-1155	107	313	(1	(1	PUNCT
m-1155	107	314	−	−	PROPN
m-1155	107	315	�	�	PROPN
m-1155	107	316	)	)	PUNCT
m-1155	107	317	�	�	PROPN
m-1155	107	318	−	−	PROPN
m-1155	107	319	�	�	PROPN
m-1155	107	320	�	�	PROPN
m-1155	107	321	�	�	PROPN
m-1155	107	322	�	�	PROPN
m-1155	107	323	−	−	PROPN
m-1155	107	324	�	�	PROPN
m-1155	107	325	�	�	PROPN
m-1155	107	326	�	�	PROPN
m-1155	107	327	�	�	PROPN
m-1155	107	328	−	−	PROPN
m-1155	107	329	�	�	PROPN
m-1155	107	330	�	�	PROPN
m-1155	107	331	�	�	PROPN
m-1155	107	332	−	−	PROPN
m-1155	107	333	�	�	PROPN
m-1155	107	334	�	�	PROPN
m-1155	107	335	�	�	PROPN
m-1155	107	336	}	}	PUNCT
m-1155	107	337	(	(	PUNCT
m-1155	107	338	4.1.6	4.1.6	X
m-1155	107	339	)	)	PUNCT
m-1155	107	340	ℒ	ℒ	PROPN
m-1155	107	341	�	�	PROPN
m-1155	107	342	�	�	PROPN
m-1155	107	343	�	�	PROPN
m-1155	107	344	�	�	PROPN
m-1155	107	345	�	�	PROPN
m-1155	107	346	(	(	PUNCT
m-1155	107	347	�	�	PROPN
m-1155	107	348	)	)	PUNCT
m-1155	107	349	�	�	PROPN
m-1155	107	350	�	�	PROPN
m-1155	107	351	�	�	PROPN
m-1155	107	352	=	=	PUNCT
m-1155	107	353	ℒ	ℒ	PROPN
m-1155	107	354	{	{	PUNCT
m-1155	107	355	�	�	PROPN
m-1155	107	356	�	�	PROPN
m-1155	107	357	�	�	PROPN
m-1155	107	358	�	�	PROPN
m-1155	107	359	+	+	SYM
m-1155	107	360	�	�	PROPN
m-1155	107	361	�	�	PROPN
m-1155	107	362	�	�	PROPN
m-1155	107	363	�	�	PROPN
m-1155	107	364	+	+	SYM
m-1155	107	365	�	�	PROPN
m-1155	107	366	�	�	PROPN
m-1155	107	367	�	�	PROPN
m-1155	107	368	�	�	PROPN
m-1155	107	369	−	−	PROPN
m-1155	107	370	�	�	PROPN
m-1155	107	371	�	�	PROPN
m-1155	107	372	}	}	PUNCT
m-1155	107	373	(	(	PUNCT
m-1155	107	374	4.1.7	4.1.7	NUM
m-1155	107	375	)	)	PUNCT
m-1155	107	376	ℒ	ℒ	PROPN
m-1155	107	377	�	�	PROPN
m-1155	107	378	�	�	PROPN
m-1155	107	379	�	�	PROPN
m-1155	107	380	�	�	PROPN
m-1155	107	381	�	�	PROPN
m-1155	107	382	�	�	PROPN
m-1155	107	383	(	(	PUNCT
m-1155	107	384	�	�	PROPN
m-1155	107	385	)	)	PUNCT
m-1155	107	386	�	�	PROPN
m-1155	107	387	�	�	PROPN
m-1155	107	388	�	�	PROPN
m-1155	107	389	�	�	PROPN
m-1155	107	390	=	=	PUNCT
m-1155	107	391	ℒ	ℒ	PROPN
m-1155	107	392	{	{	PUNCT
m-1155	107	393	�	�	PROPN
m-1155	107	394	�	�	PROPN
m-1155	107	395	�	�	PROPN
m-1155	107	396	�	�	PROPN
m-1155	107	397	+	+	SYM
m-1155	107	398	�	�	PROPN
m-1155	107	399	�	�	PROPN
m-1155	107	400	�	�	PROPN
m-1155	107	401	�	�	PROPN
m-1155	107	402	−	−	PROPN
m-1155	107	403	�	�	PROPN
m-1155	107	404	�	�	PROPN
m-1155	107	405	�	�	PROPN
m-1155	107	406	�	�	PROPN
m-1155	107	407	−	−	PROPN
m-1155	107	408	�	�	PROPN
m-1155	107	409	�	�	PROPN
m-1155	107	410	�	�	PROPN
m-1155	107	411	−	−	PROPN
m-1155	107	412	�	�	PROPN
m-1155	107	413	�	�	PROPN
m-1155	107	414	�	�	PROPN
m-1155	107	415	}	}	PUNCT
m-1155	107	416	(	(	PUNCT
m-1155	107	417	4.1.8	4.1.8	X
m-1155	107	418	)	)	PUNCT
m-1155	107	419	ijo	ijo	PROPN
m-1155	107	420	journals	journal	NOUN
m-1155	107	421	volume	volume	NOUN
m-1155	107	422	08	08	NUM
m-1155	108	1	|	|	ADV
m-1155	108	2	issue	issue	NOUN
m-1155	108	3	09	09	NUM
m-1155	108	4	|	|	ADV
m-1155	108	5	september	september	PROPN
m-1155	108	6	2025	2025	NUM
m-1155	109	1	|	|	ADV
m-1155	109	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-1155	109	3	50	50	NUM
m-1155	109	4	ijo	ijo	PROPN
m-1155	109	5	international	international	ADJ
m-1155	109	6	journal	journal	PROPN
m-1155	109	7	of	of	ADP
m-1155	109	8	mathematics	mathematics	PROPN
m-1155	109	9	(	(	PUNCT
m-1155	109	10	issn	issn	PROPN
m-1155	109	11	:	:	PUNCT
m-1155	109	12	2992	2992	NUM
m-1155	109	13	-	-	SYM
m-1155	109	14	4421	4421	NUM
m-1155	109	15	)	)	PUNCT
m-1155	109	16	thomas	thomas	PROPN
m-1155	109	17	,	,	PUNCT
m-1155	109	18	henry	henry	PROPN
m-1155	109	19	sylvester	sylvester	PROPN
m-1155	109	20	*	*	PUNCT
m-1155	109	21	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-1155	109	22	volume	volume	NOUN
m-1155	109	23	08	08	NUM
m-1155	109	24	||	||	PROPN
m-1155	109	25	issue	issue	NOUN
m-1155	109	26	09	09	NUM
m-1155	109	27	||	||	NOUN
m-1155	109	28	september	september	PROPN
m-1155	109	29	,	,	PUNCT
m-1155	109	30	2025	2025	NUM
m-1155	109	31	||	||	PUNCT
m-1155	110	1	“	"	PUNCT
m-1155	110	2	caputo	caputo	PROPN
m-1155	110	3	-	-	PUNCT
m-1155	110	4	fabrizio	fabrizio	PROPN
m-1155	110	5	fractional	fractional	ADJ
m-1155	110	6	drivatives	drivative	NOUN
m-1155	110	7	of	of	ADP
m-1155	110	8	age	age	NOUN
m-1155	110	9	-	-	PUNCT
m-1155	110	10	structured	structure	VERB
m-1155	110	11	dipptheria	dipptheria	NOUN
m-1155	110	12	infection	infection	NOUN
m-1155	110	13	model	model	NOUN
m-1155	110	14	with	with	ADP
m-1155	110	15	laplace	laplace	NOUN
m-1155	110	16	adomian	adomian	NOUN
m-1155	110	17	decomposition	decomposition	NOUN
m-1155	110	18	analysis	analysis	NOUN
m-1155	110	19	"	"	PUNCT
m-1155	110	20	using	use	VERB
m-1155	110	21	the	the	DET
m-1155	110	22	property	property	NOUN
m-1155	110	23	of	of	ADP
m-1155	110	24	laplace	laplace	NOUN
m-1155	110	25	transform	transform	NOUN
m-1155	110	26	for	for	ADP
m-1155	110	27	caputo	caputo	PROPN
m-1155	110	28	-	-	PUNCT
m-1155	110	29	fabrizio	fabrizio	PROPN
m-1155	110	30	fractional	fractional	ADJ
m-1155	110	31	derivatives	derivative	NOUN
m-1155	110	32	,	,	PUNCT
m-1155	110	33	we	we	PRON
m-1155	110	34	obtain	obtain	VERB
m-1155	110	35	following	follow	VERB
m-1155	110	36	the	the	DET
m-1155	110	37	definition	definition	NOUN
m-1155	110	38	of	of	ADP
m-1155	110	39	laplace	laplace	NOUN
m-1155	110	40	transform	transform	NOUN
m-1155	110	41	for	for	ADP
m-1155	110	42	the	the	DET
m-1155	110	43	caputo	caputo	PROPN
m-1155	110	44	-	-	PUNCT
m-1155	110	45	fabrizio	fabrizio	PROPN
m-1155	110	46	derivative	derivative	NOUN
m-1155	110	47	,	,	PUNCT
m-1155	110	48	(	(	PUNCT
m-1155	110	49	laplace	laplace	NOUN
m-1155	110	50	transform	transform	NOUN
m-1155	110	51	of	of	ADP
m-1155	110	52	the	the	DET
m-1155	110	53	caputo	caputo	PROPN
m-1155	110	54	-	-	PUNCT
m-1155	110	55	fabrizio	fabrizio	PROPN
m-1155	110	56	derivative	derivative	NOUN
m-1155	110	57	of	of	ADP
m-1155	110	58	functions	function	NOUN
m-1155	110	59	)	)	PUNCT
m-1155	110	60	the	the	DET
m-1155	110	61	laplace	laplace	NOUN
m-1155	110	62	transform	transform	NOUN
m-1155	110	63	of	of	ADP
m-1155	110	64	the	the	DET
m-1155	110	65	caputo	caputo	PROPN
m-1155	110	66	-	-	PUNCT
m-1155	110	67	fabrizio	fabrizio	PROPN
m-1155	110	68	derivative	derivative	NOUN
m-1155	110	69	is	be	AUX
m-1155	110	70	given	give	VERB
m-1155	110	71	by	by	ADP
m-1155	110	72	ℒ	ℒ	PROPN
m-1155	110	73	{	{	PUNCT
m-1155	110	74	�	�	PROPN
m-1155	110	75	�	�	PROPN
m-1155	110	76	�	�	PROPN
m-1155	110	77	�	�	PROPN
m-1155	110	78	�	�	PROPN
m-1155	110	79	�	�	PROPN
m-1155	110	80	�	�	PROPN
m-1155	110	81	(	(	PUNCT
m-1155	110	82	�	�	PROPN
m-1155	110	83	,	,	PUNCT
m-1155	110	84	�	�	PROPN
m-1155	110	85	)	)	PUNCT
m-1155	110	86	}	}	PUNCT
m-1155	110	87	(	(	PUNCT
m-1155	110	88	�	�	PROPN
m-1155	110	89	)	)	PUNCT
m-1155	110	90	=	=	PUNCT
m-1155	111	1	(	(	PUNCT
m-1155	111	2	2	2	NUM
m-1155	111	3	−	−	PROPN
m-1155	111	4	�	�	SYM
m-1155	111	5	)	)	PUNCT
m-1155	111	6	ℱ	ℱ	PROPN
m-1155	111	7	(	(	PUNCT
m-1155	111	8	�	�	PROPN
m-1155	111	9	)	)	PUNCT
m-1155	111	10	2	2	NUM
m-1155	111	11	�	�	NOUN
m-1155	111	12	ℒ	ℒ	NOUN
m-1155	111	13	{	{	PUNCT
m-1155	111	14	�	�	PROPN
m-1155	111	15	(	(	PUNCT
m-1155	111	16	�	�	PROPN
m-1155	111	17	,	,	PUNCT
m-1155	111	18	�	�	PROPN
m-1155	111	19	)	)	PUNCT
m-1155	111	20	}	}	PUNCT
m-1155	111	21	−	−	PROPN
m-1155	111	22	�	�	PROPN
m-1155	111	23	(	(	PUNCT
m-1155	111	24	�	�	PROPN
m-1155	111	25	,	,	PUNCT
m-1155	111	26	0	0	NUM
m-1155	111	27	)	)	PUNCT
m-1155	111	28	�	�	PROPN
m-1155	111	29	+	+	SYM
m-1155	111	30	�	�	PROPN
m-1155	111	31	(	(	PUNCT
m-1155	111	32	1	1	NUM
m-1155	111	33	−	−	PROPN
m-1155	111	34	�	�	PROPN
m-1155	111	35	)	)	PUNCT
m-1155	111	36	�	�	PROPN
m-1155	111	37	ℒ{	ℒ{	NOUN
m-1155	111	38	�	�	PROPN
m-1155	111	39	1	1	NUM
m-1155	111	40	(	(	PUNCT
m-1155	111	41	�	�	NOUN
m-1155	111	42	)	)	PUNCT
m-1155	111	43	}	}	PUNCT
m-1155	111	44	−	−	PROPN
m-1155	111	45	�	�	NOUN
m-1155	111	46	1(0	1(0	NUM
m-1155	111	47	)	)	PUNCT
m-1155	111	48	�	�	PROPN
m-1155	111	49	+	+	NUM
m-1155	111	50	�	�	PROPN
m-1155	111	51	(	(	PUNCT
m-1155	111	52	1	1	NUM
m-1155	111	53	−	−	PROPN
m-1155	111	54	�	�	PROPN
m-1155	111	55	)	)	PUNCT
m-1155	111	56	=	=	PUNCT
m-1155	111	57	ℒ	ℒ	PROPN
m-1155	111	58	�	�	PROPN
m-1155	111	59	�	�	PROPN
m-1155	111	60	�	�	PROPN
m-1155	111	61	�	�	PROPN
m-1155	111	62	−	−	PROPN
m-1155	111	63	�	�	PROPN
m-1155	111	64	�	�	PROPN
m-1155	111	65	(	(	PUNCT
m-1155	111	66	�	�	PROPN
m-1155	111	67	�	�	PROPN
m-1155	111	68	�	�	PROPN
m-1155	111	69	�	�	PROPN
m-1155	111	70	+	+	SYM
m-1155	111	71	�	�	PROPN
m-1155	111	72	�	�	PROPN
m-1155	111	73	�	�	PROPN
m-1155	111	74	�	�	PROPN
m-1155	111	75	)	)	PUNCT
m-1155	111	76	�	�	PROPN
m-1155	111	77	�	�	PROPN
m-1155	111	78	−	−	PROPN
m-1155	111	79	�	�	PROPN
m-1155	111	80	�	�	PROPN
m-1155	111	81	�	�	PROPN
m-1155	111	82	�	�	PROPN
m-1155	111	83	−	−	PROPN
m-1155	111	84	�	�	PROPN
m-1155	111	85	�	�	PROPN
m-1155	111	86	�	�	PROPN
m-1155	111	87	�	�	PROPN
m-1155	111	88	�	�	PROPN
m-1155	111	89	−	−	PROPN
m-1155	111	90	�	�	PROPN
m-1155	111	91	�	�	PROPN
m-1155	111	92	�	�	PROPN
m-1155	111	93	−	−	PROPN
m-1155	111	94	�	�	PROPN
m-1155	111	95	�	�	PROPN
m-1155	111	96	�	�	PROPN
m-1155	111	97	�	�	PROPN
m-1155	111	98	(	(	PUNCT
m-1155	111	99	4.2.1	4.2.1	NOUN
m-1155	111	100	)	)	PUNCT
m-1155	111	101	�	�	PROPN
m-1155	111	102	ℒ{	ℒ{	NOUN
m-1155	111	103	�	�	PROPN
m-1155	111	104	2	2	NUM
m-1155	111	105	(	(	PUNCT
m-1155	111	106	�	�	NOUN
m-1155	111	107	)	)	PUNCT
m-1155	111	108	}	}	PUNCT
m-1155	111	109	−	−	ADP
m-1155	111	110	�	�	NOUN
m-1155	111	111	2(0	2(0	NUM
m-1155	111	112	)	)	PUNCT
m-1155	111	113	�	�	PROPN
m-1155	111	114	+	+	SYM
m-1155	111	115	�	�	PROPN
m-1155	111	116	(	(	PUNCT
m-1155	111	117	1	1	NUM
m-1155	111	118	−	−	PROPN
m-1155	111	119	�	�	PROPN
m-1155	111	120	)	)	PUNCT
m-1155	111	121	=	=	PUNCT
m-1155	111	122	ℒ	ℒ	PROPN
m-1155	111	123	�	�	PROPN
m-1155	111	124	�	�	PROPN
m-1155	111	125	�	�	PROPN
m-1155	111	126	1	1	NUM
m-1155	111	127	−	−	PROPN
m-1155	111	128	�	�	PROPN
m-1155	111	129	2	2	NUM
m-1155	111	130	�	�	PROPN
m-1155	111	131	�	�	PROPN
m-1155	111	132	1	1	NUM
m-1155	111	133	�	�	PROPN
m-1155	111	134	1	1	NUM
m-1155	111	135	+	+	NUM
m-1155	111	136	�	�	PROPN
m-1155	111	137	2	2	NUM
m-1155	111	138	�	�	PROPN
m-1155	111	139	2	2	NUM
m-1155	111	140	�	�	PROPN
m-1155	111	141	�	�	PROPN
m-1155	111	142	ℎ	ℎ	PROPN
m-1155	111	143	−	−	PROPN
m-1155	111	144	�	�	PROPN
m-1155	111	145	�	�	PROPN
m-1155	111	146	�	�	PROPN
m-1155	111	147	2	2	NUM
m-1155	111	148	−	−	PROPN
m-1155	111	149	�	�	PROPN
m-1155	111	150	�	�	PROPN
m-1155	111	151	2	2	NUM
m-1155	111	152	�	�	PROPN
m-1155	111	153	2	2	NUM
m-1155	111	154	−	−	PROPN
m-1155	111	155	�	�	PROPN
m-1155	111	156	�	�	PROPN
m-1155	111	157	2	2	NUM
m-1155	111	158	�	�	PROPN
m-1155	111	159	(	(	PUNCT
m-1155	111	160	4.2.2	4.2.2	NUM
m-1155	111	161	)	)	PUNCT
m-1155	111	162	�	�	NOUN
m-1155	111	163	ℒ	ℒ	NOUN
m-1155	111	164	{	{	PUNCT
m-1155	111	165	�	�	PROPN
m-1155	111	166	(	(	PUNCT
m-1155	111	167	�	�	PROPN
m-1155	111	168	)	)	PUNCT
m-1155	111	169	}	}	PUNCT
m-1155	111	170	−	−	PROPN
m-1155	111	171	�	�	PROPN
m-1155	111	172	(	(	PUNCT
m-1155	111	173	0	0	NUM
m-1155	111	174	)	)	PUNCT
m-1155	111	175	�	�	PROPN
m-1155	111	176	+	+	SYM
m-1155	111	177	�	�	PROPN
m-1155	111	178	(	(	PUNCT
m-1155	111	179	1	1	NUM
m-1155	111	180	−	−	PROPN
m-1155	111	181	�	�	PROPN
m-1155	111	182	)	)	PUNCT
m-1155	111	183	=	=	SYM
m-1155	111	184	ℒ{	ℒ{	NOUN
m-1155	111	185	�	�	PROPN
m-1155	111	186	�	�	PROPN
m-1155	111	187	1	1	NUM
m-1155	111	188	�	�	PROPN
m-1155	111	189	1	1	NUM
m-1155	111	190	+	+	NUM
m-1155	111	191	�	�	PROPN
m-1155	111	192	�	�	PROPN
m-1155	111	193	2	2	NUM
m-1155	111	194	�	�	PROPN
m-1155	111	195	2	2	NUM
m-1155	111	196	−	−	PROPN
m-1155	111	197	�	�	PROPN
m-1155	111	198	�	�	PROPN
m-1155	111	199	−	−	PROPN
m-1155	111	200	�	�	PROPN
m-1155	111	201	�	�	PROPN
m-1155	111	202	}	}	PUNCT
m-1155	111	203	(	(	PUNCT
m-1155	111	204	4.2.3	4.2.3	NUM
m-1155	111	205	)	)	PUNCT
m-1155	111	206	�	�	PROPN
m-1155	111	207	ℒ	ℒ	VERB
m-1155	111	208	{	{	PUNCT
m-1155	111	209	�	�	PROPN
m-1155	111	210	(	(	PUNCT
m-1155	111	211	�	�	PROPN
m-1155	111	212	)	)	PUNCT
m-1155	111	213	}	}	PUNCT
m-1155	111	214	−	−	PROPN
m-1155	111	215	�	�	PROPN
m-1155	111	216	(	(	PUNCT
m-1155	111	217	0	0	NUM
m-1155	111	218	)	)	PUNCT
m-1155	111	219	�	�	PROPN
m-1155	111	220	+	+	SYM
m-1155	111	221	�	�	PROPN
m-1155	111	222	(	(	PUNCT
m-1155	111	223	1	1	NUM
m-1155	111	224	−	−	PROPN
m-1155	111	225	�	�	PROPN
m-1155	111	226	)	)	PUNCT
m-1155	111	227	=	=	PUNCT
m-1155	111	228	ℒ	ℒ	PROPN
m-1155	111	229	�	�	PROPN
m-1155	111	230	�	�	PROPN
m-1155	111	231	1	1	NUM
m-1155	111	232	(	(	PUNCT
m-1155	111	233	�	�	PROPN
m-1155	111	234	1	1	NUM
m-1155	111	235	�	�	PROPN
m-1155	111	236	1	1	NUM
m-1155	111	237	+	+	NUM
m-1155	111	238	�	�	PROPN
m-1155	111	239	2	2	NUM
m-1155	111	240	�	�	PROPN
m-1155	111	241	2	2	NUM
m-1155	111	242	)	)	PUNCT
m-1155	111	243	�	�	PROPN
m-1155	111	244	ℎ	ℎ	PART
m-1155	111	245	−	−	PROPN
m-1155	111	246	�	�	PROPN
m-1155	111	247	�	�	PROPN
m-1155	111	248	�	�	PROPN
m-1155	111	249	1	1	NUM
m-1155	111	250	+	+	NUM
m-1155	111	251	�	�	PROPN
m-1155	111	252	2	2	NUM
m-1155	111	253	(	(	PUNCT
m-1155	111	254	�	�	NOUN
m-1155	111	255	1	1	NUM
m-1155	111	256	�	�	PROPN
m-1155	111	257	1	1	NUM
m-1155	111	258	+	+	NUM
m-1155	111	259	�	�	PROPN
m-1155	111	260	2	2	NUM
m-1155	111	261	�	�	PROPN
m-1155	111	262	2	2	NUM
m-1155	111	263	)	)	PUNCT
m-1155	111	264	�	�	PROPN
m-1155	111	265	ℎ	ℎ	PART
m-1155	111	266	−	−	PROPN
m-1155	111	267	�	�	PROPN
m-1155	111	268	�	�	PROPN
m-1155	111	269	�	�	PROPN
m-1155	111	270	2	2	NUM
m-1155	111	271	−	−	PROPN
m-1155	111	272	�	�	PROPN
m-1155	111	273	1	1	NUM
m-1155	111	274	�	�	PROPN
m-1155	111	275	�	�	PROPN
m-1155	111	276	−	−	PROPN
m-1155	111	277	�	�	PROPN
m-1155	111	278	2(1	2(1	NUM
m-1155	111	279	−	−	PROPN
m-1155	111	280	�	�	PROPN
m-1155	111	281	)	)	PUNCT
m-1155	111	282	�	�	PROPN
m-1155	111	283	−	−	PROPN
m-1155	111	284	�	�	PROPN
m-1155	111	285	�	�	PROPN
m-1155	111	286	�	�	PROPN
m-1155	111	287	(	(	PUNCT
m-1155	111	288	4.2.4	4.2.4	NUM
m-1155	111	289	)	)	PUNCT
m-1155	111	290	�	�	PROPN
m-1155	111	291	ℒ{	ℒ{	NOUN
m-1155	111	292	�	�	PROPN
m-1155	111	293	1	1	NUM
m-1155	111	294	(	(	PUNCT
m-1155	111	295	�	�	NOUN
m-1155	111	296	)	)	PUNCT
m-1155	111	297	}	}	PUNCT
m-1155	112	1	−	−	PROPN
m-1155	112	2	�	�	NOUN
m-1155	112	3	1(0	1(0	NUM
m-1155	112	4	)	)	PUNCT
m-1155	112	5	�	�	PROPN
m-1155	112	6	+	+	NUM
m-1155	112	7	�	�	PROPN
m-1155	112	8	(	(	PUNCT
m-1155	112	9	1	1	NUM
m-1155	112	10	−	−	PROPN
m-1155	112	11	�	�	PROPN
m-1155	112	12	)	)	PUNCT
m-1155	112	13	=	=	PUNCT
m-1155	112	14	ℒ	ℒ	PROPN
m-1155	112	15	�	�	PROPN
m-1155	112	16	�	�	PROPN
m-1155	112	17	1	1	NUM
m-1155	112	18	�	�	PROPN
m-1155	112	19	�	�	PROPN
m-1155	112	20	−	−	PROPN
m-1155	112	21	�	�	PROPN
m-1155	112	22	1	1	NUM
m-1155	112	23	�	�	PROPN
m-1155	112	24	1	1	NUM
m-1155	112	25	−	−	PROPN
m-1155	112	26	�	�	PROPN
m-1155	112	27	1	1	NUM
m-1155	112	28	�	�	PROPN
m-1155	112	29	1	1	NUM
m-1155	112	30	−	−	PROPN
m-1155	112	31	�	�	PROPN
m-1155	112	32	�	�	PROPN
m-1155	112	33	1	1	NUM
m-1155	112	34	−	−	PROPN
m-1155	112	35	�	�	PROPN
m-1155	112	36	�	�	PROPN
m-1155	112	37	1	1	NUM
m-1155	112	38	�	�	PROPN
m-1155	112	39	(	(	PUNCT
m-1155	112	40	4.2.5	4.2.5	NUM
m-1155	112	41	)	)	PUNCT
m-1155	112	42	�	�	PROPN
m-1155	112	43	ℒ{	ℒ{	NOUN
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m-1155	112	50	−	−	ADP
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m-1155	112	62	=	=	PUNCT
m-1155	112	63	ℒ	ℒ	PROPN
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m-1155	112	73	2	2	NUM
m-1155	112	74	�	�	PROPN
m-1155	112	75	2	2	NUM
m-1155	112	76	−	−	NOUN
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m-1155	112	78	2	2	NUM
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m-1155	112	80	2	2	NUM
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m-1155	112	83	�	�	PROPN
m-1155	112	84	2	2	NUM
m-1155	112	85	−	−	PROPN
m-1155	112	86	�	�	PROPN
m-1155	112	87	�	�	PROPN
m-1155	112	88	2	2	NUM
m-1155	112	89	�	�	PROPN
m-1155	112	90	(	(	PUNCT
m-1155	112	91	4.2.6	4.2.6	NUM
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m-1155	112	93	�	�	NOUN
m-1155	112	94	ℒ	ℒ	VERB
m-1155	112	95	{	{	PUNCT
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m-1155	112	98	(	(	PUNCT
m-1155	112	99	�	�	PROPN
m-1155	112	100	)	)	PUNCT
m-1155	112	101	}	}	PUNCT
m-1155	112	102	−	−	PROPN
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m-1155	112	104	�	�	PROPN
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m-1155	112	107	)	)	PUNCT
m-1155	112	108	�	�	PROPN
m-1155	112	109	+	+	SYM
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m-1155	112	111	(	(	PUNCT
m-1155	112	112	1	1	NUM
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m-1155	112	115	)	)	PUNCT
m-1155	112	116	=	=	PUNCT
m-1155	112	117	ℒ	ℒ	PROPN
m-1155	112	118	�	�	PROPN
m-1155	112	119	�	�	PROPN
m-1155	112	120	1	1	NUM
m-1155	112	121	�	�	PROPN
m-1155	112	122	1	1	NUM
m-1155	112	123	+	+	NUM
m-1155	112	124	�	�	PROPN
m-1155	112	125	2	2	NUM
m-1155	112	126	�	�	PROPN
m-1155	112	127	2	2	NUM
m-1155	112	128	−	−	PROPN
m-1155	112	129	�	�	PROPN
m-1155	112	130	3	3	NUM
m-1155	112	131	�	�	PROPN
m-1155	112	132	�	�	PROPN
m-1155	112	133	−	−	PROPN
m-1155	112	134	�	�	PROPN
m-1155	112	135	�	�	PROPN
m-1155	112	136	�	�	PROPN
m-1155	112	137	−	−	PROPN
m-1155	112	138	�	�	PROPN
m-1155	112	139	�	�	PROPN
m-1155	112	140	�	�	PROPN
m-1155	112	141	�	�	PROPN
m-1155	112	142	(	(	PUNCT
m-1155	112	143	4,2.7	4,2.7	NUM
m-1155	112	144	)	)	PUNCT
m-1155	112	145	ijo	ijo	PROPN
m-1155	112	146	journals	journal	NOUN
m-1155	112	147	volume	volume	NOUN
m-1155	112	148	08	08	NUM
m-1155	113	1	|	|	ADV
m-1155	113	2	issue	issue	NOUN
m-1155	113	3	09	09	NUM
m-1155	113	4	|	|	ADV
m-1155	113	5	september	september	PROPN
m-1155	113	6	2025	2025	NUM
m-1155	114	1	|	|	ADV
m-1155	114	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-1155	114	3	51	51	NUM
m-1155	114	4	ijo	ijo	PROPN
m-1155	114	5	international	international	PROPN
m-1155	114	6	journal	journal	PROPN
m-1155	114	7	of	of	ADP
m-1155	114	8	mathematics	mathematics	PROPN
m-1155	114	9	(	(	PUNCT
m-1155	114	10	issn	issn	PROPN
m-1155	114	11	:	:	PUNCT
m-1155	114	12	2992	2992	NUM
m-1155	114	13	-	-	SYM
m-1155	114	14	4421	4421	NUM
m-1155	114	15	)	)	PUNCT
m-1155	114	16	thomas	thomas	PROPN
m-1155	114	17	,	,	PUNCT
m-1155	114	18	henry	henry	PROPN
m-1155	114	19	sylvester	sylvester	PROPN
m-1155	114	20	*	*	PUNCT
m-1155	114	21	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-1155	114	22	volume	volume	NOUN
m-1155	114	23	08	08	NUM
m-1155	114	24	||	||	PROPN
m-1155	114	25	issue	issue	NOUN
m-1155	114	26	09	09	NUM
m-1155	114	27	||	||	NOUN
m-1155	114	28	september	september	PROPN
m-1155	114	29	,	,	PUNCT
m-1155	114	30	2025	2025	NUM
m-1155	114	31	||	||	PUNCT
m-1155	115	1	“	"	PUNCT
m-1155	115	2	caputo	caputo	PROPN
m-1155	115	3	-	-	PUNCT
m-1155	115	4	fabrizio	fabrizio	PROPN
m-1155	115	5	fractional	fractional	ADJ
m-1155	115	6	drivatives	drivative	NOUN
m-1155	115	7	of	of	ADP
m-1155	115	8	age	age	NOUN
m-1155	115	9	-	-	PUNCT
m-1155	115	10	structured	structure	VERB
m-1155	115	11	dipptheria	dipptheria	NOUN
m-1155	115	12	infection	infection	NOUN
m-1155	115	13	model	model	NOUN
m-1155	115	14	with	with	ADP
m-1155	115	15	laplace	laplace	NOUN
m-1155	115	16	adomian	adomian	NOUN
m-1155	115	17	decomposition	decomposition	NOUN
m-1155	115	18	analysis	analysis	NOUN
m-1155	115	19	"	"	PUNCT
m-1155	115	20	�	�	NOUN
m-1155	115	21	ℒ	ℒ	NOUN
m-1155	115	22	{	{	PUNCT
m-1155	115	23	�	�	PROPN
m-1155	115	24	(	(	PUNCT
m-1155	115	25	�	�	PROPN
m-1155	115	26	)	)	PUNCT
m-1155	115	27	}	}	PUNCT
m-1155	115	28	−	−	PROPN
m-1155	115	29	�	�	PROPN
m-1155	115	30	(	(	PUNCT
m-1155	115	31	0	0	NUM
m-1155	115	32	)	)	PUNCT
m-1155	115	33	�	�	PROPN
m-1155	115	34	+	+	SYM
m-1155	115	35	�	�	PROPN
m-1155	115	36	(	(	PUNCT
m-1155	115	37	1	1	NUM
m-1155	115	38	−	−	PROPN
m-1155	115	39	�	�	PROPN
m-1155	115	40	)	)	PUNCT
m-1155	115	41	=	=	PUNCT
m-1155	115	42	ℒ	ℒ	PROPN
m-1155	115	43	�	�	PROPN
m-1155	115	44	�	�	PROPN
m-1155	115	45	1	1	NUM
m-1155	115	46	�	�	PROPN
m-1155	115	47	1	1	NUM
m-1155	115	48	+	+	NUM
m-1155	115	49	�	�	PROPN
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m-1155	115	51	�	�	NOUN
m-1155	115	52	2	2	NUM
m-1155	115	53	+	+	NUM
m-1155	115	54	�	�	PROPN
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m-1155	115	56	�	�	PROPN
m-1155	115	57	�	�	PROPN
m-1155	115	58	−	−	PROPN
m-1155	115	59	�	�	PROPN
m-1155	115	60	�	�	PROPN
m-1155	115	61	�	�	PROPN
m-1155	115	62	(	(	PUNCT
m-1155	115	63	4.2	4.2	NUM
m-1155	115	64	.	.	NOUN
m-1155	115	65	8)	8)	NUM
m-1155	115	66	ℒ{	ℒ{	NOUN
m-1155	115	67	�	�	NOUN
m-1155	115	68	1	1	NUM
m-1155	115	69	(	(	PUNCT
m-1155	115	70	�	�	NOUN
m-1155	115	71	)	)	PUNCT
m-1155	115	72	}	}	PUNCT
m-1155	115	73	=	=	SYM
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m-1155	115	76	)	)	PUNCT
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m-1155	115	78	+	+	CCONJ
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m-1155	115	83	1	1	NUM
m-1155	115	84	−	−	PROPN
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m-1155	115	87	�	�	PROPN
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m-1155	115	91	�	�	PROPN
m-1155	115	92	ℎ	ℎ	PROPN
m-1155	115	93	−	−	PROPN
m-1155	115	94	�	�	PROPN
m-1155	115	95	1	1	NUM
m-1155	115	96	�	�	PROPN
m-1155	115	97	�	�	PROPN
m-1155	115	98	1	1	NUM
m-1155	115	99	�	�	PROPN
m-1155	115	100	1	1	NUM
m-1155	115	101	+	+	NUM
m-1155	115	102	�	�	PROPN
m-1155	115	103	2	2	NUM
m-1155	115	104	�	�	PROPN
m-1155	115	105	2	2	NUM
m-1155	115	106	�	�	PROPN
m-1155	115	107	�	�	PROPN
m-1155	115	108	ℎ	ℎ	PROPN
m-1155	115	109	−	−	PROPN
m-1155	115	110	�	�	PROPN
m-1155	115	111	�	�	PROPN
m-1155	115	112	�	�	PROPN
m-1155	115	113	1	1	NUM
m-1155	115	114	−	−	PROPN
m-1155	115	115	�	�	PROPN
m-1155	115	116	�	�	PROPN
m-1155	115	117	1	1	NUM
m-1155	115	118	�	�	PROPN
m-1155	115	119	1	1	NUM
m-1155	115	120	−	−	PROPN
m-1155	115	121	�	�	PROPN
m-1155	115	122	�	�	PROPN
m-1155	115	123	1	1	NUM
m-1155	115	124	−	−	PROPN
m-1155	115	125	�	�	PROPN
m-1155	115	126	�	�	PROPN
m-1155	115	127	1	1	NUM
m-1155	115	128	�	�	PROPN
m-1155	115	129	(	(	PUNCT
m-1155	115	130	4.3.1	4.3.1	NOUN
m-1155	115	131	)	)	PUNCT
m-1155	115	132	ℒ{	ℒ{	NOUN
m-1155	115	133	�	�	X
m-1155	115	134	2	2	NUM
m-1155	115	135	(	(	PUNCT
m-1155	115	136	�	�	NOUN
m-1155	115	137	)	)	PUNCT
m-1155	115	138	}	}	PUNCT
m-1155	115	139	=	=	SYM
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m-1155	115	141	2(0	2(0	NUM
m-1155	115	142	)	)	PUNCT
m-1155	115	143	�	�	PROPN
m-1155	115	144	+	+	CCONJ
m-1155	115	145	�	�	PROPN
m-1155	115	146	+	+	SYM
m-1155	115	147	�	�	PROPN
m-1155	115	148	(	(	PUNCT
m-1155	115	149	1	1	NUM
m-1155	115	150	−	−	PROPN
m-1155	115	151	�	�	PROPN
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m-1155	115	153	�	�	PROPN
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m-1155	115	156	�	�	PROPN
m-1155	115	157	�	�	PROPN
m-1155	115	158	1	1	NUM
m-1155	115	159	−	−	PROPN
m-1155	115	160	�	�	PROPN
m-1155	115	161	2	2	NUM
m-1155	115	162	�	�	PROPN
m-1155	115	163	�	�	PROPN
m-1155	115	164	1	1	NUM
m-1155	115	165	�	�	PROPN
m-1155	115	166	1	1	NUM
m-1155	115	167	+	+	NUM
m-1155	115	168	�	�	PROPN
m-1155	115	169	2	2	NUM
m-1155	115	170	�	�	PROPN
m-1155	115	171	2	2	NUM
m-1155	115	172	�	�	PROPN
m-1155	115	173	�	�	PROPN
m-1155	115	174	ℎ	ℎ	PROPN
m-1155	115	175	−	−	PROPN
m-1155	115	176	�	�	PROPN
m-1155	115	177	�	�	PROPN
m-1155	115	178	�	�	PROPN
m-1155	115	179	2	2	NUM
m-1155	115	180	−	−	PROPN
m-1155	115	181	�	�	PROPN
m-1155	115	182	�	�	PROPN
m-1155	115	183	2	2	NUM
m-1155	115	184	�	�	PROPN
m-1155	115	185	2	2	NUM
m-1155	115	186	−	−	PROPN
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m-1155	115	188	�	�	PROPN
m-1155	115	189	2	2	NUM
m-1155	115	190	�	�	PROPN
m-1155	115	191	(	(	PUNCT
m-1155	115	192	4.3.2	4.3.2	NOUN
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m-1155	115	194	ℒ	ℒ	NOUN
m-1155	115	195	{	{	PUNCT
m-1155	115	196	�	�	PROPN
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m-1155	115	198	�	�	NOUN
m-1155	115	199	)	)	PUNCT
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m-1155	115	201	=	=	SYM
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m-1155	115	204	0	0	NUM
m-1155	115	205	)	)	PUNCT
m-1155	115	206	�	�	PROPN
m-1155	115	207	+	+	CCONJ
m-1155	115	208	�	�	PROPN
m-1155	115	209	+	+	SYM
m-1155	115	210	�	�	PROPN
m-1155	115	211	(	(	PUNCT
m-1155	115	212	1	1	NUM
m-1155	115	213	−	−	PROPN
m-1155	115	214	�	�	PROPN
m-1155	115	215	)	)	PUNCT
m-1155	115	216	�	�	PROPN
m-1155	115	217	ℒ{	ℒ{	PROPN
m-1155	115	218	�	�	PROPN
m-1155	115	219	�	�	PROPN
m-1155	115	220	1	1	NUM
m-1155	115	221	�	�	PROPN
m-1155	115	222	1	1	NUM
m-1155	115	223	+	+	NUM
m-1155	115	224	�	�	PROPN
m-1155	115	225	�	�	PROPN
m-1155	115	226	2	2	NUM
m-1155	115	227	�	�	PROPN
m-1155	115	228	2	2	NUM
m-1155	115	229	−	−	PROPN
m-1155	115	230	�	�	PROPN
m-1155	115	231	�	�	PROPN
m-1155	115	232	−	−	PROPN
m-1155	115	233	�	�	PROPN
m-1155	115	234	�	�	PROPN
m-1155	115	235	}	}	PUNCT
m-1155	115	236	(	(	PUNCT
m-1155	115	237	4.3.3	4.3.3	NOUN
m-1155	115	238	)	)	PUNCT
m-1155	115	239	ℒ	ℒ	NOUN
m-1155	115	240	{	{	PUNCT
m-1155	115	241	�	�	PROPN
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m-1155	115	243	�	�	NOUN
m-1155	115	244	)	)	PUNCT
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m-1155	115	246	=	=	SYM
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m-1155	115	250	)	)	PUNCT
m-1155	115	251	�	�	PROPN
m-1155	115	252	+	+	CCONJ
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m-1155	115	254	+	+	SYM
m-1155	115	255	�	�	PROPN
m-1155	115	256	(	(	PUNCT
m-1155	115	257	1	1	NUM
m-1155	115	258	−	−	PROPN
m-1155	115	259	�	�	PROPN
m-1155	115	260	)	)	PUNCT
m-1155	115	261	�	�	PROPN
m-1155	115	262	ℒ	ℒ	PROPN
m-1155	115	263	�	�	PROPN
m-1155	115	264	�	�	PROPN
m-1155	115	265	1	1	NUM
m-1155	115	266	(	(	PUNCT
m-1155	115	267	�	�	PROPN
m-1155	115	268	1	1	NUM
m-1155	115	269	�	�	PROPN
m-1155	115	270	1	1	NUM
m-1155	115	271	+	+	NUM
m-1155	115	272	�	�	PROPN
m-1155	115	273	2	2	NUM
m-1155	115	274	�	�	PROPN
m-1155	115	275	2	2	NUM
m-1155	115	276	)	)	PUNCT
m-1155	115	277	�	�	PROPN
m-1155	115	278	ℎ	ℎ	PART
m-1155	115	279	−	−	PROPN
m-1155	115	280	�	�	PROPN
m-1155	115	281	�	�	PROPN
m-1155	115	282	�	�	PROPN
m-1155	115	283	1	1	NUM
m-1155	115	284	+	+	NUM
m-1155	115	285	�	�	PROPN
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m-1155	115	287	(	(	PUNCT
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m-1155	115	289	1	1	NUM
m-1155	115	290	�	�	PROPN
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m-1155	115	292	+	+	NUM
m-1155	115	293	�	�	PROPN
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m-1155	115	295	�	�	PROPN
m-1155	115	296	2	2	NUM
m-1155	115	297	)	)	PUNCT
m-1155	115	298	�	�	PROPN
m-1155	115	299	ℎ	ℎ	PART
m-1155	115	300	−	−	PROPN
m-1155	115	301	�	�	PROPN
m-1155	115	302	�	�	PROPN
m-1155	115	303	�	�	PROPN
m-1155	115	304	2	2	NUM
m-1155	115	305	−	−	PROPN
m-1155	115	306	�	�	PROPN
m-1155	115	307	1	1	NUM
m-1155	115	308	�	�	PROPN
m-1155	115	309	�	�	PROPN
m-1155	115	310	−	−	PROPN
m-1155	115	311	�	�	PROPN
m-1155	115	312	2(1	2(1	NUM
m-1155	115	313	−	−	PROPN
m-1155	115	314	�	�	PROPN
m-1155	115	315	)	)	PUNCT
m-1155	115	316	�	�	PROPN
m-1155	115	317	−	−	PROPN
m-1155	115	318	�	�	PROPN
m-1155	115	319	�	�	PROPN
m-1155	115	320	�	�	PROPN
m-1155	115	321	(	(	PUNCT
m-1155	115	322	4.3.4	4.3.4	NOUN
m-1155	115	323	)	)	PUNCT
m-1155	115	324	ℒ{	ℒ{	NOUN
m-1155	115	325	�	�	X
m-1155	115	326	1	1	NUM
m-1155	115	327	(	(	PUNCT
m-1155	115	328	�	�	NOUN
m-1155	115	329	)	)	PUNCT
m-1155	115	330	}	}	PUNCT
m-1155	115	331	=	=	SYM
m-1155	115	332	�	�	PROPN
m-1155	115	333	1(0	1(0	NUM
m-1155	115	334	)	)	PUNCT
m-1155	115	335	�	�	PROPN
m-1155	115	336	+	+	CCONJ
m-1155	115	337	�	�	PROPN
m-1155	115	338	+	+	SYM
m-1155	115	339	�	�	PROPN
m-1155	115	340	(	(	PUNCT
m-1155	115	341	1	1	NUM
m-1155	115	342	−	−	PROPN
m-1155	115	343	�	�	PROPN
m-1155	115	344	)	)	PUNCT
m-1155	115	345	�	�	PROPN
m-1155	115	346	ℒ	ℒ	PROPN
m-1155	115	347	�	�	PROPN
m-1155	115	348	�	�	PROPN
m-1155	115	349	1	1	NUM
m-1155	115	350	�	�	PROPN
m-1155	115	351	�	�	PROPN
m-1155	115	352	−	−	PROPN
m-1155	115	353	�	�	PROPN
m-1155	115	354	1	1	NUM
m-1155	115	355	�	�	PROPN
m-1155	115	356	1	1	NUM
m-1155	115	357	−	−	PROPN
m-1155	115	358	�	�	PROPN
m-1155	115	359	1	1	NUM
m-1155	115	360	�	�	PROPN
m-1155	115	361	1	1	NUM
m-1155	115	362	−	−	PROPN
m-1155	115	363	�	�	PROPN
m-1155	115	364	�	�	PROPN
m-1155	115	365	1	1	NUM
m-1155	115	366	−	−	PROPN
m-1155	115	367	�	�	PROPN
m-1155	115	368	�	�	PROPN
m-1155	115	369	1	1	NUM
m-1155	115	370	�	�	PROPN
m-1155	115	371	(	(	PUNCT
m-1155	115	372	4.3.5	4.3.5	NOUN
m-1155	115	373	)	)	PUNCT
m-1155	115	374	ℒ{	ℒ{	NOUN
m-1155	115	375	�	�	X
m-1155	115	376	2	2	NUM
m-1155	115	377	(	(	PUNCT
m-1155	115	378	�	�	NOUN
m-1155	115	379	)	)	PUNCT
m-1155	115	380	}	}	PUNCT
m-1155	115	381	=	=	SYM
m-1155	115	382	�	�	NOUN
m-1155	115	383	2(0	2(0	NUM
m-1155	115	384	)	)	PUNCT
m-1155	115	385	�	�	PROPN
m-1155	115	386	+	+	CCONJ
m-1155	115	387	�	�	PROPN
m-1155	115	388	+	+	SYM
m-1155	115	389	�	�	PROPN
m-1155	115	390	(	(	PUNCT
m-1155	115	391	1	1	NUM
m-1155	115	392	−	−	PROPN
m-1155	115	393	�	�	PROPN
m-1155	115	394	)	)	PUNCT
m-1155	115	395	�	�	PROPN
m-1155	115	396	ℒ	ℒ	PROPN
m-1155	115	397	�	�	PROPN
m-1155	115	398	�	�	PROPN
m-1155	115	399	2(1	2(1	NUM
m-1155	115	400	−	−	PROPN
m-1155	115	401	�	�	PROPN
m-1155	115	402	)	)	PUNCT
m-1155	115	403	�	�	PROPN
m-1155	115	404	−	−	PROPN
m-1155	115	405	�	�	PROPN
m-1155	115	406	2	2	NUM
m-1155	115	407	�	�	PROPN
m-1155	115	408	2	2	NUM
m-1155	115	409	−	−	NOUN
m-1155	115	410	�	�	PROPN
m-1155	115	411	2	2	NUM
m-1155	115	412	�	�	NOUN
m-1155	115	413	2	2	NUM
m-1155	115	414	−	−	NOUN
m-1155	115	415	�	�	PROPN
m-1155	115	416	�	�	PROPN
m-1155	115	417	2	2	NUM
m-1155	115	418	−	−	PROPN
m-1155	115	419	�	�	PROPN
m-1155	115	420	�	�	PROPN
m-1155	115	421	2	2	NUM
m-1155	115	422	�	�	PROPN
m-1155	115	423	(	(	PUNCT
m-1155	115	424	4.3.6	4.3.6	NUM
m-1155	115	425	)	)	PUNCT
m-1155	115	426	ℒ	ℒ	PROPN
m-1155	115	427	{	{	PUNCT
m-1155	115	428	�	�	PROPN
m-1155	115	429	�	�	PROPN
m-1155	115	430	(	(	PUNCT
m-1155	115	431	�	�	PROPN
m-1155	115	432	)	)	PUNCT
m-1155	115	433	}	}	PUNCT
m-1155	115	434	=	=	SYM
m-1155	115	435	�	�	PROPN
m-1155	115	436	�	�	PROPN
m-1155	115	437	(	(	PUNCT
m-1155	115	438	0	0	NUM
m-1155	115	439	)	)	PUNCT
m-1155	115	440	�	�	PROPN
m-1155	115	441	+	+	CCONJ
m-1155	115	442	�	�	PROPN
m-1155	115	443	+	+	SYM
m-1155	115	444	�	�	PROPN
m-1155	115	445	(	(	PUNCT
m-1155	115	446	1	1	NUM
m-1155	115	447	−	−	PROPN
m-1155	115	448	�	�	PROPN
m-1155	115	449	)	)	PUNCT
m-1155	115	450	�	�	PROPN
m-1155	115	451	ℒ	ℒ	PROPN
m-1155	115	452	�	�	PROPN
m-1155	115	453	�	�	PROPN
m-1155	115	454	1	1	NUM
m-1155	115	455	�	�	PROPN
m-1155	115	456	1	1	NUM
m-1155	115	457	+	+	NUM
m-1155	115	458	�	�	PROPN
m-1155	115	459	2	2	NUM
m-1155	115	460	�	�	NOUN
m-1155	115	461	2	2	NUM
m-1155	115	462	+	+	NUM
m-1155	115	463	�	�	PROPN
m-1155	115	464	3	3	NUM
m-1155	115	465	�	�	PROPN
m-1155	115	466	�	�	PROPN
m-1155	115	467	−	−	PROPN
m-1155	115	468	�	�	PROPN
m-1155	115	469	�	�	PROPN
m-1155	115	470	�	�	PROPN
m-1155	115	471	(	(	PUNCT
m-1155	115	472	4.3	4.3	NUM
m-1155	115	473	.	.	NOUN
m-1155	115	474	7	7	X
m-1155	115	475	)	)	PUNCT
m-1155	115	476	ℒ	ℒ	NOUN
m-1155	115	477	{	{	PUNCT
m-1155	115	478	�	�	PROPN
m-1155	115	479	(	(	PUNCT
m-1155	115	480	�	�	NOUN
m-1155	115	481	)	)	PUNCT
m-1155	115	482	}	}	PUNCT
m-1155	115	483	=	=	SYM
m-1155	115	484	�	�	PROPN
m-1155	115	485	(	(	PUNCT
m-1155	115	486	0	0	NUM
m-1155	115	487	)	)	PUNCT
m-1155	115	488	�	�	PROPN
m-1155	115	489	+	+	CCONJ
m-1155	115	490	�	�	PROPN
m-1155	115	491	+	+	SYM
m-1155	115	492	�	�	PROPN
m-1155	115	493	(	(	PUNCT
m-1155	115	494	1	1	NUM
m-1155	115	495	−	−	PROPN
m-1155	115	496	�	�	PROPN
m-1155	115	497	)	)	PUNCT
m-1155	115	498	�	�	PROPN
m-1155	115	499	ℒ	ℒ	PROPN
m-1155	115	500	�	�	PROPN
m-1155	115	501	�	�	PROPN
m-1155	115	502	1	1	NUM
m-1155	115	503	�	�	PROPN
m-1155	115	504	1	1	NUM
m-1155	115	505	+	+	NUM
m-1155	115	506	�	�	PROPN
m-1155	115	507	2	2	NUM
m-1155	115	508	�	�	PROPN
m-1155	115	509	2	2	NUM
m-1155	115	510	−	−	PROPN
m-1155	115	511	�	�	PROPN
m-1155	115	512	3	3	NUM
m-1155	115	513	�	�	PROPN
m-1155	115	514	�	�	PROPN
m-1155	115	515	−	−	PROPN
m-1155	115	516	�	�	PROPN
m-1155	115	517	�	�	PROPN
m-1155	115	518	�	�	PROPN
m-1155	115	519	−	−	PROPN
m-1155	115	520	�	�	PROPN
m-1155	115	521	�	�	PROPN
m-1155	115	522	�	�	PROPN
m-1155	115	523	�	�	PROPN
m-1155	115	524	(	(	PUNCT
m-1155	115	525	4.3.8	4.3.8	NOUN
m-1155	115	526	)	)	PUNCT
m-1155	115	527	according	accord	VERB
m-1155	115	528	to	to	ADP
m-1155	115	529	the	the	DET
m-1155	115	530	adomian	adomian	NOUN
m-1155	115	531	decomposition	decomposition	NOUN
m-1155	115	532	method	method	NOUN
m-1155	115	533	,	,	PUNCT
m-1155	115	534	the	the	DET
m-1155	115	535	solution	solution	NOUN
m-1155	115	536	will	will	AUX
m-1155	115	537	be	be	AUX
m-1155	115	538	in	in	ADP
m-1155	115	539	the	the	DET
m-1155	115	540	following	follow	VERB
m-1155	115	541	series	series	PROPN
m-1155	115	542	type	type	PROPN
m-1155	115	543	ijo	ijo	PROPN
m-1155	115	544	journals	journal	NOUN
m-1155	115	545	volume	volume	NOUN
m-1155	115	546	08	08	NUM
m-1155	116	1	|	|	ADV
m-1155	116	2	issue	issue	NOUN
m-1155	116	3	09	09	NUM
m-1155	116	4	|	|	ADV
m-1155	116	5	september	september	PROPN
m-1155	116	6	2025	2025	NUM
m-1155	117	1	|	|	ADV
m-1155	117	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-1155	117	3	52	52	NUM
m-1155	117	4	ijo	ijo	PROPN
m-1155	117	5	international	international	ADJ
m-1155	117	6	journal	journal	PROPN
m-1155	117	7	of	of	ADP
m-1155	117	8	mathematics	mathematics	PROPN
m-1155	117	9	(	(	PUNCT
m-1155	117	10	issn	issn	PROPN
m-1155	117	11	:	:	PUNCT
m-1155	117	12	2992	2992	NUM
m-1155	117	13	-	-	SYM
m-1155	117	14	4421	4421	NUM
m-1155	117	15	)	)	PUNCT
m-1155	118	1	thomas	thomas	PROPN
m-1155	118	2	,	,	PUNCT
m-1155	118	3	henry	henry	PROPN
m-1155	118	4	sylvester	sylvester	PROPN
m-1155	118	5	*	*	PUNCT
m-1155	118	6	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-1155	118	7	volume	volume	NOUN
m-1155	118	8	08	08	NUM
m-1155	118	9	||	||	PROPN
m-1155	118	10	issue	issue	NOUN
m-1155	118	11	09	09	NUM
m-1155	118	12	||	||	NOUN
m-1155	118	13	september	september	PROPN
m-1155	118	14	,	,	PUNCT
m-1155	118	15	2025	2025	NUM
m-1155	118	16	||	||	PUNCT
m-1155	119	1	“	"	PUNCT
m-1155	119	2	caputo	caputo	PROPN
m-1155	119	3	-	-	PUNCT
m-1155	119	4	fabrizio	fabrizio	PROPN
m-1155	119	5	fractional	fractional	ADJ
m-1155	119	6	drivatives	drivative	NOUN
m-1155	119	7	of	of	ADP
m-1155	119	8	age	age	NOUN
m-1155	119	9	-	-	PUNCT
m-1155	119	10	structured	structure	VERB
m-1155	119	11	dipptheria	dipptheria	NOUN
m-1155	119	12	infection	infection	NOUN
m-1155	119	13	model	model	NOUN
m-1155	119	14	with	with	ADP
m-1155	119	15	laplace	laplace	NOUN
m-1155	119	16	adomian	adomian	NOUN
m-1155	119	17	decomposition	decomposition	NOUN
m-1155	119	18	analysis	analysis	NOUN
m-1155	119	19	"	"	PUNCT
m-1155	119	20	�	�	PROPN
m-1155	119	21	�	�	PROPN
m-1155	119	22	(	(	PUNCT
m-1155	119	23	�	�	PROPN
m-1155	119	24	)	)	PUNCT
m-1155	119	25	=	=	SYM
m-1155	119	26	∑	∑	PUNCT
m-1155	119	27	�	�	PROPN
m-1155	119	28	�	�	PROPN
m-1155	119	29	�	�	PROPN
m-1155	119	30	(	(	PUNCT
m-1155	119	31	�	�	PROPN
m-1155	119	32	)	)	PUNCT
m-1155	119	33	�	�	PROPN
m-1155	119	34	�	�	PROPN
m-1155	119	35	�	�	PROPN
m-1155	119	36	�	�	PROPN
m-1155	119	37	,	,	PUNCT
m-1155	119	38	�	�	PROPN
m-1155	119	39	�	�	PROPN
m-1155	119	40	(	(	PUNCT
m-1155	119	41	�	�	PROPN
m-1155	119	42	)	)	PUNCT
m-1155	119	43	=	=	SYM
m-1155	119	44	∑	∑	PUNCT
m-1155	119	45	�	�	PROPN
m-1155	119	46	�	�	PROPN
m-1155	119	47	�	�	PROPN
m-1155	119	48	(	(	PUNCT
m-1155	119	49	�	�	PROPN
m-1155	119	50	)	)	PUNCT
m-1155	119	51	�	�	PROPN
m-1155	119	52	�	�	PROPN
m-1155	119	53	�	�	PROPN
m-1155	119	54	�	�	PROPN
m-1155	119	55	,	,	PUNCT
m-1155	119	56	�	�	PROPN
m-1155	119	57	(	(	PUNCT
m-1155	119	58	�	�	PROPN
m-1155	119	59	)	)	PUNCT
m-1155	119	60	=	=	SYM
m-1155	119	61	∑	∑	PUNCT
m-1155	119	62	�	�	PROPN
m-1155	119	63	�	�	PROPN
m-1155	119	64	(	(	PUNCT
m-1155	119	65	�	�	PROPN
m-1155	119	66	)	)	PUNCT
m-1155	119	67	�	�	PROPN
m-1155	119	68	�	�	PROPN
m-1155	119	69	�	�	PROPN
m-1155	119	70	�	�	PROPN
m-1155	119	71	,	,	PUNCT
m-1155	119	72	�	�	PROPN
m-1155	119	73	(	(	PUNCT
m-1155	119	74	�	�	PROPN
m-1155	119	75	)	)	PUNCT
m-1155	119	76	=	=	SYM
m-1155	119	77	∑	∑	PUNCT
m-1155	119	78	�	�	PROPN
m-1155	119	79	�	�	PROPN
m-1155	119	80	(	(	PUNCT
m-1155	119	81	�	�	PROPN
m-1155	119	82	)	)	PUNCT
m-1155	119	83	�	�	PROPN
m-1155	119	84	�	�	PROPN
m-1155	119	85	�	�	PROPN
m-1155	119	86	�	�	PROPN
m-1155	119	87	,	,	PUNCT
m-1155	119	88	�	�	PROPN
m-1155	119	89	�	�	PROPN
m-1155	119	90	(	(	PUNCT
m-1155	119	91	�	�	PROPN
m-1155	119	92	)	)	PUNCT
m-1155	119	93	=	=	SYM
m-1155	119	94	∑	∑	PUNCT
m-1155	119	95	�	�	PROPN
m-1155	119	96	�	�	PROPN
m-1155	119	97	�	�	PROPN
m-1155	119	98	(	(	PUNCT
m-1155	119	99	�	�	PROPN
m-1155	119	100	)	)	PUNCT
m-1155	119	101	�	�	PROPN
m-1155	119	102	�	�	PROPN
m-1155	119	103	�	�	PROPN
m-1155	119	104	�	�	PROPN
m-1155	119	105	,	,	PUNCT
m-1155	119	106	�	�	PROPN
m-1155	119	107	�	�	PROPN
m-1155	119	108	(	(	PUNCT
m-1155	119	109	�	�	PROPN
m-1155	119	110	)	)	PUNCT
m-1155	119	111	=	=	SYM
m-1155	119	112	∑	∑	PUNCT
m-1155	119	113	�	�	PROPN
m-1155	119	114	�	�	PROPN
m-1155	119	115	�	�	PROPN
m-1155	119	116	(	(	PUNCT
m-1155	119	117	�	�	PROPN
m-1155	119	118	)	)	PUNCT
m-1155	119	119	�	�	PROPN
m-1155	119	120	�	�	PROPN
m-1155	119	121	�	�	PROPN
m-1155	119	122	�	�	PROPN
m-1155	119	123	�	�	PROPN
m-1155	119	124	�	�	PROPN
m-1155	119	125	(	(	PUNCT
m-1155	119	126	�	�	PROPN
m-1155	119	127	)	)	PUNCT
m-1155	119	128	=	=	SYM
m-1155	119	129	∑	∑	PUNCT
m-1155	119	130	�	�	PROPN
m-1155	119	131	�	�	PROPN
m-1155	119	132	�	�	PROPN
m-1155	119	133	(	(	PUNCT
m-1155	119	134	�	�	PROPN
m-1155	119	135	)	)	PUNCT
m-1155	119	136	(	(	PUNCT
m-1155	119	137	�	�	NOUN
m-1155	119	138	)	)	PUNCT
m-1155	119	139	�	�	PROPN
m-1155	119	140	�	�	PROPN
m-1155	119	141	�	�	PROPN
m-1155	119	142	�	�	PROPN
m-1155	119	143	,	,	PUNCT
m-1155	119	144	r	r	PROPN
m-1155	119	145	(	(	PUNCT
m-1155	119	146	�	�	NOUN
m-1155	119	147	)	)	PUNCT
m-1155	119	148	=	=	SYM
m-1155	119	149	∑	∑	PUNCT
m-1155	119	150	�	�	PROPN
m-1155	119	151	�	�	PROPN
m-1155	119	152	(	(	PUNCT
m-1155	119	153	�	�	PROPN
m-1155	119	154	)	)	PUNCT
m-1155	119	155	�	�	PROPN
m-1155	119	156	�	�	PROPN
m-1155	119	157	�	�	PROPN
m-1155	119	158	�	�	PROPN
m-1155	119	159	(	(	PUNCT
m-1155	119	160	4.4	4.4	NUM
m-1155	119	161	)	)	PUNCT
m-1155	119	162	the	the	DET
m-1155	119	163	nonlinear	nonlinear	ADJ
m-1155	119	164	term	term	NOUN
m-1155	119	165	involved	involve	VERB
m-1155	119	166	in	in	ADP
m-1155	119	167	the	the	DET
m-1155	119	168	model	model	NOUN
m-1155	119	169	are	be	AUX
m-1155	119	170	�	�	PROPN
m-1155	119	171	�	�	PROPN
m-1155	119	172	(	(	PUNCT
m-1155	119	173	�	�	PROPN
m-1155	119	174	)	)	PUNCT
m-1155	119	175	�	�	PROPN
m-1155	119	176	�	�	PROPN
m-1155	119	177	(	(	PUNCT
m-1155	119	178	�	�	PROPN
m-1155	119	179	)	)	PUNCT
m-1155	119	180	,	,	PUNCT
m-1155	119	181	�	�	PROPN
m-1155	119	182	�	�	PROPN
m-1155	119	183	(	(	PUNCT
m-1155	119	184	�	�	PROPN
m-1155	119	185	)	)	PUNCT
m-1155	119	186	�	�	PROPN
m-1155	119	187	�	�	PROPN
m-1155	119	188	(	(	PUNCT
m-1155	119	189	�	�	PROPN
m-1155	119	190	)	)	PUNCT
m-1155	119	191	,	,	PUNCT
m-1155	119	192	�	�	PROPN
m-1155	119	193	�	�	PROPN
m-1155	119	194	(	(	PUNCT
m-1155	119	195	�	�	PROPN
m-1155	119	196	)	)	PUNCT
m-1155	119	197	�	�	PROPN
m-1155	119	198	�	�	PROPN
m-1155	119	199	(	(	PUNCT
m-1155	119	200	�	�	PROPN
m-1155	119	201	)	)	PUNCT
m-1155	119	202	,	,	PUNCT
m-1155	119	203	�	�	PROPN
m-1155	119	204	�	�	PROPN
m-1155	119	205	(	(	PUNCT
m-1155	119	206	�	�	PROPN
m-1155	119	207	)	)	PUNCT
m-1155	119	208	�	�	PROPN
m-1155	119	209	�	�	PROPN
m-1155	119	210	(	(	PUNCT
m-1155	119	211	�	�	PROPN
m-1155	119	212	)	)	PUNCT
m-1155	119	213	.	.	PUNCT
m-1155	120	1	these	these	PRON
m-1155	120	2	are	be	AUX
m-1155	120	3	decomposed	decompose	VERB
m-1155	120	4	by	by	ADP
m-1155	120	5	adomian	adomian	NOUN
m-1155	120	6	decomposition	decomposition	NOUN
m-1155	120	7	polynomial	polynomial	NOUN
m-1155	120	8	as	as	ADP
m-1155	120	9	�	�	PROPN
m-1155	120	10	�	�	PROPN
m-1155	120	11	(	(	PUNCT
m-1155	120	12	�	�	PROPN
m-1155	120	13	)	)	PUNCT
m-1155	120	14	�	�	PROPN
m-1155	120	15	�	�	PROPN
m-1155	120	16	(	(	PUNCT
m-1155	120	17	�	�	PROPN
m-1155	120	18	)	)	PUNCT
m-1155	120	19	=	=	SYM
m-1155	120	20	∑	∑	PUNCT
m-1155	120	21	�	�	PROPN
m-1155	120	22	�	�	PROPN
m-1155	120	23	�	�	PROPN
m-1155	120	24	�	�	PROPN
m-1155	120	25	�	�	PROPN
m-1155	120	26	�	�	PROPN
m-1155	120	27	�	�	PROPN
m-1155	120	28	,	,	PUNCT
m-1155	120	29	�	�	PROPN
m-1155	120	30	�	�	PROPN
m-1155	120	31	(	(	PUNCT
m-1155	120	32	�	�	PROPN
m-1155	120	33	)	)	PUNCT
m-1155	120	34	�	�	PROPN
m-1155	120	35	�	�	PROPN
m-1155	120	36	(	(	PUNCT
m-1155	120	37	�	�	PROPN
m-1155	120	38	)	)	PUNCT
m-1155	120	39	=	=	SYM
m-1155	120	40	∑	∑	PUNCT
m-1155	120	41	�	�	PROPN
m-1155	120	42	�	�	PROPN
m-1155	120	43	�	�	PROPN
m-1155	120	44	�	�	PROPN
m-1155	120	45	�	�	PROPN
m-1155	120	46	�	�	PROPN
m-1155	120	47	�	�	PROPN
m-1155	120	48	,	,	PUNCT
m-1155	120	49	�	�	PROPN
m-1155	120	50	�	�	PROPN
m-1155	120	51	(	(	PUNCT
m-1155	120	52	�	�	PROPN
m-1155	120	53	)	)	PUNCT
m-1155	120	54	�	�	PROPN
m-1155	120	55	�	�	PROPN
m-1155	120	56	(	(	PUNCT
m-1155	120	57	�	�	PROPN
m-1155	120	58	)	)	PUNCT
m-1155	120	59	=	=	SYM
m-1155	120	60	∑	∑	PUNCT
m-1155	120	61	�	�	PROPN
m-1155	120	62	�	�	PROPN
m-1155	120	63	�	�	PROPN
m-1155	120	64	�	�	PROPN
m-1155	120	65	�	�	PROPN
m-1155	120	66	�	�	PROPN
m-1155	120	67	�	�	PROPN
m-1155	120	68	,	,	PUNCT
m-1155	120	69	�	�	PROPN
m-1155	120	70	�	�	PROPN
m-1155	120	71	(	(	PUNCT
m-1155	120	72	�	�	PROPN
m-1155	120	73	)	)	PUNCT
m-1155	120	74	�	�	PROPN
m-1155	120	75	�	�	PROPN
m-1155	120	76	(	(	PUNCT
m-1155	120	77	�	�	PROPN
m-1155	120	78	)	)	PUNCT
m-1155	120	79	=	=	SYM
m-1155	120	80	∑	∑	PUNCT
m-1155	120	81	�	�	PROPN
m-1155	120	82	�	�	PROPN
m-1155	120	83	�	�	PROPN
m-1155	120	84	�	�	PROPN
m-1155	120	85	�	�	PROPN
m-1155	120	86	�	�	PROPN
m-1155	120	87	�	�	PROPN
m-1155	120	88	(	(	PUNCT
m-1155	120	89	4.5	4.5	NUM
m-1155	120	90	)	)	PUNCT
m-1155	120	91	where	where	SCONJ
m-1155	120	92	�	�	PROPN
m-1155	120	93	�	�	PROPN
m-1155	120	94	is	be	AUX
m-1155	120	95	adomian	adomian	NOUN
m-1155	120	96	polynomial	polynomial	NOUN
m-1155	120	97	defined	define	VERB
m-1155	120	98	as	as	ADP
m-1155	120	99	:	:	PUNCT
m-1155	120	100	�	�	PROPN
m-1155	120	101	�	�	PROPN
m-1155	120	102	=	=	SYM
m-1155	120	103	�	�	PROPN
m-1155	120	104	�	�	PROPN
m-1155	120	105	(	(	PUNCT
m-1155	120	106	�	�	PROPN
m-1155	120	107	�	�	PROPN
m-1155	120	108	�	�	PROPN
m-1155	120	109	)	)	PUNCT
m-1155	120	110	�	�	PROPN
m-1155	120	111	�	�	PROPN
m-1155	120	112	�	�	PROPN
m-1155	120	113	�	�	PROPN
m-1155	120	114	�	�	PROPN
m-1155	120	115	�	�	PROPN
m-1155	120	116	∑	∑	PROPN
m-1155	120	117	ℎ	ℎ	PROPN
m-1155	120	118	�	�	PROPN
m-1155	120	119	�	�	PROPN
m-1155	120	120	�	�	PROPN
m-1155	120	121	�	�	PROPN
m-1155	120	122	�	�	PROPN
m-1155	120	123	�	�	PROPN
m-1155	120	124	�	�	PROPN
m-1155	120	125	∑	∑	PUNCT
m-1155	120	126	ℎ	ℎ	PROPN
m-1155	120	127	�	�	PROPN
m-1155	120	128	�	�	PROPN
m-1155	120	129	�	�	PROPN
m-1155	120	130	�	�	PROPN
m-1155	120	131	�	�	PROPN
m-1155	120	132	�	�	PROPN
m-1155	120	133	�	�	PROPN
m-1155	120	134	�	�	PROPN
m-1155	120	135	�	�	PROPN
m-1155	120	136	�	�	PROPN
m-1155	120	137	�	�	PROPN
m-1155	120	138	(	(	PUNCT
m-1155	120	139	4.6	4.6	NUM
m-1155	120	140	)	)	PUNCT
m-1155	120	141	�	�	PROPN
m-1155	120	142	�	�	PROPN
m-1155	120	143	=	=	SYM
m-1155	120	144	�	�	PROPN
m-1155	120	145	�	�	PROPN
m-1155	120	146	�	�	PROPN
m-1155	120	147	�	�	PROPN
m-1155	120	148	,	,	PUNCT
m-1155	120	149	�	�	PROPN
m-1155	120	150	�	�	PROPN
m-1155	120	151	=	=	SYM
m-1155	120	152	�	�	PROPN
m-1155	120	153	�	�	PROPN
m-1155	120	154	�	�	PROPN
m-1155	120	155	�	�	PROPN
m-1155	120	156	+	+	SYM
m-1155	120	157	�	�	PROPN
m-1155	120	158	�	�	PROPN
m-1155	120	159	�	�	PROPN
m-1155	120	160	�	�	PROPN
m-1155	120	161	,	,	PUNCT
m-1155	120	162	�	�	PROPN
m-1155	120	163	�	�	PROPN
m-1155	120	164	=	=	SYM
m-1155	120	165	�	�	PROPN
m-1155	120	166	�	�	PROPN
m-1155	120	167	�	�	PROPN
m-1155	120	168	�	�	PROPN
m-1155	120	169	+	+	SYM
m-1155	120	170	�	�	PROPN
m-1155	120	171	�	�	PROPN
m-1155	120	172	�	�	PROPN
m-1155	120	173	�	�	PROPN
m-1155	120	174	+	+	SYM
m-1155	120	175	�	�	PROPN
m-1155	120	176	�	�	PROPN
m-1155	120	177	�	�	PROPN
m-1155	120	178	�	�	PROPN
m-1155	120	179	,	,	PUNCT
m-1155	120	180	�	�	PROPN
m-1155	120	181	�	�	PROPN
m-1155	120	182	=	=	SYM
m-1155	120	183	�	�	PROPN
m-1155	120	184	�	�	PROPN
m-1155	120	185	�	�	PROPN
m-1155	120	186	�	�	PROPN
m-1155	120	187	+	+	SYM
m-1155	120	188	�	�	PROPN
m-1155	120	189	�	�	PROPN
m-1155	120	190	�	�	PROPN
m-1155	120	191	�	�	PROPN
m-1155	120	192	+	+	SYM
m-1155	120	193	�	�	PROPN
m-1155	120	194	�	�	PROPN
m-1155	120	195	�	�	PROPN
m-1155	120	196	�	�	PROPN
m-1155	120	197	+	+	SYM
m-1155	120	198	�	�	PROPN
m-1155	120	199	�	�	PROPN
m-1155	120	200	�	�	PROPN
m-1155	120	201	�	�	PROPN
m-1155	120	202	,	,	PUNCT
m-1155	120	203	.	.	PUNCT
m-1155	120	204	.	.	PUNCT
m-1155	120	205	.	.	PUNCT
m-1155	121	1	(	(	PUNCT
m-1155	121	2	4.7	4.7	NUM
m-1155	121	3	)	)	PUNCT
m-1155	121	4	applying	apply	VERB
m-1155	121	5	equation	equation	NOUN
m-1155	121	6	(	(	PUNCT
m-1155	121	7	4.4)-(4.7	4.4)-(4.7	NOUN
m-1155	121	8	)	)	PUNCT
m-1155	121	9	into	into	ADP
m-1155	121	10	the	the	DET
m-1155	121	11	system	system	NOUN
m-1155	121	12	(	(	PUNCT
m-1155	121	13	4.3.1)-(4.3.8	4.3.1)-(4.3.8	NUM
m-1155	121	14	)	)	PUNCT
m-1155	121	15	,	,	PUNCT
m-1155	121	16	we	we	PRON
m-1155	121	17	have	have	VERB
m-1155	121	18	ℒ	ℒ	PROPN
m-1155	121	19	�	�	PROPN
m-1155	121	20	�	�	PROPN
m-1155	121	21	�	�	PROPN
m-1155	121	22	�	�	PROPN
m-1155	121	23	�	�	PROPN
m-1155	121	24	(	(	PUNCT
m-1155	121	25	�	�	PROPN
m-1155	121	26	)	)	PUNCT
m-1155	121	27	�	�	PROPN
m-1155	121	28	�	�	PROPN
m-1155	121	29	�	�	PROPN
m-1155	121	30	�	�	PROPN
m-1155	121	31	�	�	PROPN
m-1155	121	32	=	=	SYM
m-1155	121	33	�	�	PROPN
m-1155	121	34	1(0	1(0	NUM
m-1155	121	35	)	)	PUNCT
m-1155	121	36	�	�	PROPN
m-1155	121	37	+	+	CCONJ
m-1155	121	38	�	�	PROPN
m-1155	121	39	+	+	SYM
m-1155	121	40	�	�	PROPN
m-1155	121	41	(	(	PUNCT
m-1155	121	42	1	1	NUM
m-1155	121	43	−	−	PROPN
m-1155	121	44	�	�	PROPN
m-1155	121	45	)	)	PUNCT
m-1155	121	46	�	�	PROPN
m-1155	121	47	ℒ	ℒ	PROPN
m-1155	121	48	�	�	PROPN
m-1155	121	49	�	�	PROPN
m-1155	121	50	�	�	PROPN
m-1155	121	51	ℎ	ℎ	PROPN
m-1155	121	52	−	−	PROPN
m-1155	121	53	−	−	PROPN
m-1155	121	54	�	�	PROPN
m-1155	121	55	1	1	NUM
m-1155	121	56	�	�	PROPN
m-1155	121	57	1	1	NUM
m-1155	121	58	∑	∑	PUNCT
m-1155	121	59	�	�	PROPN
m-1155	121	60	1	1	NUM
m-1155	121	61	�	�	PROPN
m-1155	121	62	∞	∞	NUM
m-1155	121	63	�	�	PROPN
m-1155	121	64	=	=	SYM
m-1155	121	65	0	0	NUM
m-1155	121	66	�	�	NOUN
m-1155	121	67	ℎ	ℎ	PART
m-1155	121	68	−	−	NOUN
m-1155	121	69	∑	∑	PUNCT
m-1155	121	70	�	�	PROPN
m-1155	121	71	�	�	PROPN
m-1155	121	72	�	�	PROPN
m-1155	121	73	∞	∞	NUM
m-1155	121	74	�	�	PROPN
m-1155	122	1	=	=	SYM
m-1155	122	2	0	0	NUM
m-1155	122	3	−	−	PROPN
m-1155	122	4	�	�	PROPN
m-1155	122	5	1	1	NUM
m-1155	122	6	�	�	PROPN
m-1155	122	7	2	2	NUM
m-1155	122	8	∑	∑	PUNCT
m-1155	122	9	�	�	PROPN
m-1155	122	10	2	2	NUM
m-1155	122	11	�	�	PROPN
m-1155	122	12	∞	∞	NUM
m-1155	122	13	�	�	PROPN
m-1155	122	14	=	=	SYM
m-1155	122	15	0	0	NUM
m-1155	122	16	�	�	NOUN
m-1155	122	17	ℎ	ℎ	PART
m-1155	122	18	−	−	NOUN
m-1155	122	19	∑	∑	PUNCT
m-1155	122	20	�	�	PROPN
m-1155	122	21	�	�	PROPN
m-1155	122	22	�	�	PROPN
m-1155	122	23	∞	∞	NUM
m-1155	122	24	�	�	PROPN
m-1155	122	25	=	=	PROPN
m-1155	122	26	0	0	NUM
m-1155	123	1	−	−	PROPN
m-1155	123	2	(	(	PUNCT
m-1155	123	3	�	�	NOUN
m-1155	123	4	�	�	NOUN
m-1155	123	5	1	1	NUM
m-1155	123	6	+	+	NUM
m-1155	123	7	�	�	PROPN
m-1155	123	8	+	+	CCONJ
m-1155	123	9	�	�	PROPN
m-1155	123	10	)	)	PUNCT
m-1155	123	11	�	�	PROPN
m-1155	123	12	�	�	PROPN
m-1155	123	13	1	1	NUM
m-1155	123	14	�	�	PROPN
m-1155	123	15	∞	∞	NUM
m-1155	123	16	�	�	PROPN
m-1155	123	17	=	=	SYM
m-1155	123	18	0	0	NUM
m-1155	123	19	�	�	PROPN
m-1155	123	20	(	(	PUNCT
m-1155	123	21	4.8.1	4.8.1	NOUN
m-1155	123	22	)	)	PUNCT
m-1155	123	23	ijo	ijo	PROPN
m-1155	123	24	journals	journal	NOUN
m-1155	123	25	volume	volume	NOUN
m-1155	123	26	08	08	NUM
m-1155	124	1	|	|	ADV
m-1155	124	2	issue	issue	NOUN
m-1155	124	3	09	09	NUM
m-1155	124	4	|	|	ADV
m-1155	124	5	september	september	PROPN
m-1155	124	6	2025	2025	NUM
m-1155	124	7	|	|	ADV
m-1155	124	8	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	PROPN
m-1155	124	9	53	53	NUM
m-1155	124	10	ijo	ijo	PROPN
m-1155	124	11	international	international	PROPN
m-1155	124	12	journal	journal	PROPN
m-1155	124	13	of	of	ADP
m-1155	124	14	mathematics	mathematics	PROPN
m-1155	124	15	(	(	PUNCT
m-1155	124	16	issn	issn	PROPN
m-1155	124	17	:	:	PUNCT
m-1155	124	18	2992	2992	NUM
m-1155	124	19	-	-	SYM
m-1155	124	20	4421	4421	NUM
m-1155	124	21	)	)	PUNCT
m-1155	125	1	thomas	thomas	PROPN
m-1155	125	2	,	,	PUNCT
m-1155	125	3	henry	henry	PROPN
m-1155	125	4	sylvester	sylvester	PROPN
m-1155	125	5	*	*	PUNCT
m-1155	125	6	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-1155	125	7	volume	volume	NOUN
m-1155	125	8	08	08	NUM
m-1155	125	9	||	||	PROPN
m-1155	125	10	issue	issue	NOUN
m-1155	125	11	09	09	NUM
m-1155	125	12	||	||	NOUN
m-1155	125	13	september	september	PROPN
m-1155	125	14	,	,	PUNCT
m-1155	125	15	2025	2025	NUM
m-1155	125	16	||	||	PUNCT
m-1155	126	1	“	"	PUNCT
m-1155	126	2	caputo	caputo	PROPN
m-1155	126	3	-	-	PUNCT
m-1155	126	4	fabrizio	fabrizio	PROPN
m-1155	126	5	fractional	fractional	ADJ
m-1155	126	6	drivatives	drivative	NOUN
m-1155	126	7	of	of	ADP
m-1155	126	8	age	age	NOUN
m-1155	126	9	-	-	PUNCT
m-1155	126	10	structured	structure	VERB
m-1155	126	11	dipptheria	dipptheria	NOUN
m-1155	126	12	infection	infection	NOUN
m-1155	126	13	model	model	NOUN
m-1155	126	14	with	with	ADP
m-1155	126	15	laplace	laplace	NOUN
m-1155	126	16	adomian	adomian	NOUN
m-1155	126	17	decomposition	decomposition	NOUN
m-1155	126	18	analysis	analysis	NOUN
m-1155	126	19	"	"	PUNCT
m-1155	126	20	ℒ	ℒ	PROPN
m-1155	126	21	�	�	PROPN
m-1155	126	22	�	�	PROPN
m-1155	126	23	�	�	PROPN
m-1155	126	24	�	�	PROPN
m-1155	126	25	�	�	PROPN
m-1155	126	26	(	(	PUNCT
m-1155	126	27	�	�	PROPN
m-1155	126	28	)	)	PUNCT
m-1155	126	29	�	�	PROPN
m-1155	126	30	�	�	PROPN
m-1155	126	31	�	�	PROPN
m-1155	126	32	�	�	PROPN
m-1155	126	33	�	�	PROPN
m-1155	126	34	=	=	SYM
m-1155	126	35	�	�	PROPN
m-1155	126	36	2(0	2(0	NUM
m-1155	126	37	)	)	PUNCT
m-1155	126	38	�	�	PROPN
m-1155	126	39	+	+	CCONJ
m-1155	126	40	�	�	PROPN
m-1155	126	41	+	+	SYM
m-1155	126	42	�	�	PROPN
m-1155	126	43	(	(	PUNCT
m-1155	126	44	1	1	NUM
m-1155	126	45	−	−	PROPN
m-1155	126	46	�	�	PROPN
m-1155	126	47	)	)	PUNCT
m-1155	126	48	�	�	PROPN
m-1155	126	49	ℒ	ℒ	PROPN
m-1155	126	50	�	�	PROPN
m-1155	126	51	�	�	PROPN
m-1155	126	52	�	�	PROPN
m-1155	126	53	�	�	PROPN
m-1155	126	54	1	1	NUM
m-1155	126	55	�	�	PROPN
m-1155	126	56	∞	∞	NUM
m-1155	126	57	�	�	PROPN
m-1155	126	58	=	=	SYM
m-1155	126	59	0	0	NUM
m-1155	126	60	−	−	PROPN
m-1155	126	61	�	�	PROPN
m-1155	126	62	2	2	NUM
m-1155	126	63	�	�	PROPN
m-1155	126	64	1	1	NUM
m-1155	126	65	∑	∑	PUNCT
m-1155	126	66	�	�	PROPN
m-1155	126	67	3	3	NUM
m-1155	126	68	�	�	PROPN
m-1155	126	69	∞	∞	NUM
m-1155	126	70	�	�	PROPN
m-1155	126	71	=	=	SYM
m-1155	126	72	0	0	NUM
m-1155	126	73	�	�	NOUN
m-1155	126	74	ℎ	ℎ	PART
m-1155	126	75	−	−	NOUN
m-1155	126	76	∑	∑	PUNCT
m-1155	126	77	�	�	PROPN
m-1155	126	78	�	�	PROPN
m-1155	126	79	�	�	PROPN
m-1155	126	80	∞	∞	NUM
m-1155	126	81	�	�	PROPN
m-1155	126	82	=	=	SYM
m-1155	126	83	0	0	NUM
m-1155	126	84	−	−	PROPN
m-1155	126	85	�	�	PROPN
m-1155	126	86	2	2	NUM
m-1155	126	87	�	�	PROPN
m-1155	126	88	2	2	NUM
m-1155	126	89	∑	∑	PUNCT
m-1155	126	90	�	�	PROPN
m-1155	126	91	4	4	NUM
m-1155	126	92	�	�	PROPN
m-1155	126	93	∞	∞	NUM
m-1155	126	94	�	�	PROPN
m-1155	126	95	=	=	SYM
m-1155	126	96	0	0	NUM
m-1155	126	97	�	�	NOUN
m-1155	126	98	ℎ	ℎ	PART
m-1155	126	99	−	−	NOUN
m-1155	126	100	∑	∑	PUNCT
m-1155	126	101	�	�	PROPN
m-1155	126	102	�	�	PROPN
m-1155	126	103	�	�	PROPN
m-1155	126	104	∞	∞	NUM
m-1155	126	105	�	�	PROPN
m-1155	126	106	=	=	PROPN
m-1155	126	107	0	0	NUM
m-1155	126	108	−	−	PROPN
m-1155	126	109	(	(	PUNCT
m-1155	126	110	�	�	NOUN
m-1155	126	111	�	�	NOUN
m-1155	126	112	2	2	NUM
m-1155	126	113	+	+	SYM
m-1155	126	114	�	�	PROPN
m-1155	126	115	)	)	PUNCT
m-1155	126	116	�	�	PROPN
m-1155	126	117	�	�	PROPN
m-1155	126	118	2	2	NUM
m-1155	126	119	�	�	PROPN
m-1155	126	120	∞	∞	NUM
m-1155	126	121	�	�	PROPN
m-1155	126	122	=	=	SYM
m-1155	126	123	0	0	NUM
m-1155	126	124	�	�	PROPN
m-1155	126	125	(	(	PUNCT
m-1155	126	126	4.8.2	4.8.2	NOUN
m-1155	126	127	)	)	PUNCT
m-1155	126	128	ℒ	ℒ	PROPN
m-1155	126	129	�	�	PROPN
m-1155	126	130	�	�	PROPN
m-1155	126	131	�	�	PROPN
m-1155	126	132	�	�	PROPN
m-1155	126	133	(	(	PUNCT
m-1155	126	134	�	�	PROPN
m-1155	126	135	)	)	PUNCT
m-1155	126	136	�	�	PROPN
m-1155	126	137	�	�	PROPN
m-1155	126	138	�	�	PROPN
m-1155	126	139	�	�	PROPN
m-1155	126	140	�	�	PROPN
m-1155	126	141	=	=	SYM
m-1155	126	142	�	�	PROPN
m-1155	126	143	(	(	PUNCT
m-1155	126	144	0	0	NUM
m-1155	126	145	)	)	PUNCT
m-1155	126	146	�	�	PROPN
m-1155	126	147	+	+	CCONJ
m-1155	126	148	�	�	PROPN
m-1155	126	149	+	+	SYM
m-1155	126	150	�	�	PROPN
m-1155	126	151	(	(	PUNCT
m-1155	126	152	1	1	NUM
m-1155	126	153	−	−	PROPN
m-1155	126	154	�	�	PROPN
m-1155	126	155	)	)	PUNCT
m-1155	126	156	�	�	PROPN
m-1155	126	157	ℒ	ℒ	PROPN
m-1155	126	158	�	�	PROPN
m-1155	126	159	�	�	PROPN
m-1155	126	160	�	�	PROPN
m-1155	126	161	1	1	NUM
m-1155	126	162	�	�	PROPN
m-1155	126	163	�	�	PROPN
m-1155	126	164	1	1	NUM
m-1155	126	165	�	�	PROPN
m-1155	126	166	∞	∞	NUM
m-1155	126	167	�	�	PROPN
m-1155	126	168	=	=	SYM
m-1155	126	169	0	0	PROPN
m-1155	126	170	+	+	NUM
m-1155	126	171	�	�	PROPN
m-1155	126	172	�	�	PROPN
m-1155	126	173	2	2	NUM
m-1155	126	174	�	�	PROPN
m-1155	126	175	�	�	PROPN
m-1155	126	176	2	2	NUM
m-1155	126	177	�	�	PROPN
m-1155	126	178	∞	∞	NUM
m-1155	126	179	�	�	PROPN
m-1155	126	180	=	=	PROPN
m-1155	126	181	0	0	NUM
m-1155	126	182	−	−	PROPN
m-1155	126	183	(	(	PUNCT
m-1155	126	184	�	�	PROPN
m-1155	126	185	+	+	CCONJ
m-1155	126	186	�	�	PROPN
m-1155	126	187	)	)	PUNCT
m-1155	126	188	�	�	PROPN
m-1155	126	189	�	�	PROPN
m-1155	126	190	�	�	PROPN
m-1155	126	191	∞	∞	PROPN
m-1155	126	192	�	�	PROPN
m-1155	126	193	=	=	SYM
m-1155	126	194	0	0	NUM
m-1155	126	195	�	�	PROPN
m-1155	126	196	(	(	PUNCT
m-1155	126	197	4.8.3	4.8.3	NOUN
m-1155	126	198	)	)	PUNCT
m-1155	126	199	ℒ	ℒ	PROPN
m-1155	126	200	�	�	PROPN
m-1155	126	201	�	�	PROPN
m-1155	126	202	�	�	PROPN
m-1155	126	203	�	�	PROPN
m-1155	126	204	(	(	PUNCT
m-1155	126	205	�	�	PROPN
m-1155	126	206	)	)	PUNCT
m-1155	126	207	�	�	PROPN
m-1155	126	208	�	�	PROPN
m-1155	126	209	�	�	PROPN
m-1155	126	210	�	�	PROPN
m-1155	126	211	�	�	PROPN
m-1155	126	212	=	=	SYM
m-1155	126	213	�	�	PROPN
m-1155	126	214	(	(	PUNCT
m-1155	126	215	0	0	NUM
m-1155	126	216	)	)	PUNCT
m-1155	126	217	�	�	PROPN
m-1155	126	218	+	+	CCONJ
m-1155	126	219	�	�	PROPN
m-1155	126	220	+	+	SYM
m-1155	126	221	�	�	PROPN
m-1155	126	222	(	(	PUNCT
m-1155	126	223	1	1	NUM
m-1155	126	224	−	−	PROPN
m-1155	126	225	�	�	PROPN
m-1155	126	226	)	)	PUNCT
m-1155	126	227	�	�	PROPN
m-1155	126	228	ℒ	ℒ	PROPN
m-1155	126	229	�	�	PROPN
m-1155	126	230	�	�	PROPN
m-1155	126	231	1	1	NUM
m-1155	126	232	�	�	PROPN
m-1155	126	233	1	1	NUM
m-1155	126	234	∑	∑	PUNCT
m-1155	126	235	�	�	PROPN
m-1155	126	236	1	1	NUM
m-1155	126	237	�	�	PROPN
m-1155	126	238	∞	∞	NUM
m-1155	126	239	�	�	PROPN
m-1155	126	240	=	=	SYM
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m-1155	126	242	�	�	NOUN
m-1155	126	243	ℎ	ℎ	PART
m-1155	126	244	−	−	NOUN
m-1155	126	245	∑	∑	PUNCT
m-1155	126	246	�	�	PROPN
m-1155	126	247	�	�	PROPN
m-1155	126	248	�	�	PROPN
m-1155	126	249	∞	∞	NUM
m-1155	126	250	�	�	PROPN
m-1155	126	251	=	=	SYM
m-1155	126	252	0	0	SYM
m-1155	126	253	+	+	NUM
m-1155	126	254	�	�	PROPN
m-1155	126	255	1	1	NUM
m-1155	126	256	�	�	PROPN
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m-1155	126	258	∑	∑	PUNCT
m-1155	126	259	�	�	PROPN
m-1155	126	260	2	2	NUM
m-1155	126	261	�	�	PROPN
m-1155	126	262	∞	∞	NUM
m-1155	126	263	�	�	PROPN
m-1155	126	264	=	=	SYM
m-1155	126	265	0	0	NUM
m-1155	126	266	�	�	NOUN
m-1155	126	267	ℎ	ℎ	PART
m-1155	126	268	−	−	NOUN
m-1155	126	269	∑	∑	PUNCT
m-1155	126	270	�	�	PROPN
m-1155	126	271	�	�	PROPN
m-1155	126	272	�	�	PROPN
m-1155	126	273	∞	∞	NUM
m-1155	126	274	�	�	PROPN
m-1155	126	275	=	=	SYM
m-1155	126	276	0	0	SYM
m-1155	126	277	+	+	NUM
m-1155	126	278	�	�	PROPN
m-1155	126	279	2	2	NUM
m-1155	126	280	�	�	PROPN
m-1155	126	281	1	1	NUM
m-1155	126	282	∑	∑	PUNCT
m-1155	126	283	�	�	PROPN
m-1155	126	284	3	3	NUM
m-1155	126	285	�	�	PROPN
m-1155	126	286	∞	∞	NUM
m-1155	126	287	�	�	PROPN
m-1155	126	288	=	=	SYM
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m-1155	126	290	�	�	NOUN
m-1155	126	291	ℎ	ℎ	PART
m-1155	126	292	−	−	NOUN
m-1155	126	293	∑	∑	PUNCT
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m-1155	126	295	�	�	PROPN
m-1155	126	296	�	�	PROPN
m-1155	126	297	∞	∞	NUM
m-1155	126	298	�	�	PROPN
m-1155	126	299	=	=	SYM
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m-1155	126	301	+	+	NUM
m-1155	126	302	�	�	PROPN
m-1155	126	303	2	2	NUM
m-1155	126	304	�	�	PROPN
m-1155	126	305	2	2	NUM
m-1155	126	306	∑	∑	PUNCT
m-1155	126	307	�	�	PROPN
m-1155	126	308	4	4	NUM
m-1155	126	309	�	�	PROPN
m-1155	126	310	∞	∞	NUM
m-1155	126	311	�	�	PROPN
m-1155	126	312	=	=	SYM
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m-1155	126	314	�	�	NOUN
m-1155	126	315	ℎ	ℎ	PART
m-1155	126	316	−	−	NOUN
m-1155	126	317	∑	∑	PUNCT
m-1155	126	318	�	�	PROPN
m-1155	126	319	�	�	PROPN
m-1155	126	320	�	�	PROPN
m-1155	126	321	∞	∞	NUM
m-1155	126	322	�	�	PROPN
m-1155	126	323	=	=	PROPN
m-1155	126	324	0	0	NUM
m-1155	126	325	−	−	PROPN
m-1155	126	326	(	(	PUNCT
m-1155	126	327	�	�	NOUN
m-1155	126	328	1	1	NUM
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m-1155	126	330	+	+	CCONJ
m-1155	126	331	�	�	PROPN
m-1155	126	332	2(1	2(1	NUM
m-1155	126	333	−	−	PROPN
m-1155	126	334	�	�	PROPN
m-1155	126	335	)	)	PUNCT
m-1155	126	336	+	+	NUM
m-1155	126	337	�	�	PROPN
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m-1155	126	339	�	�	PROPN
m-1155	126	340	�	�	PROPN
m-1155	126	341	�	�	PROPN
m-1155	126	342	∞	∞	PROPN
m-1155	126	343	�	�	PROPN
m-1155	126	344	=	=	SYM
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m-1155	126	346	�	�	PROPN
m-1155	126	347	(	(	PUNCT
m-1155	126	348	4.8.4	4.8.4	NOUN
m-1155	126	349	)	)	PUNCT
m-1155	126	350	ijo	ijo	PROPN
m-1155	126	351	journals	journal	NOUN
m-1155	126	352	volume	volume	NOUN
m-1155	126	353	08	08	NUM
m-1155	127	1	|	|	ADV
m-1155	127	2	issue	issue	NOUN
m-1155	127	3	09	09	NUM
m-1155	127	4	|	|	ADV
m-1155	127	5	september	september	PROPN
m-1155	127	6	2025	2025	NUM
m-1155	127	7	|	|	ADV
m-1155	127	8	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	PROPN
m-1155	127	9	54	54	NUM
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m-1155	127	11	international	international	ADJ
m-1155	127	12	journal	journal	PROPN
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m-1155	127	14	mathematics	mathematics	PROPN
m-1155	127	15	(	(	PUNCT
m-1155	127	16	issn	issn	PROPN
m-1155	127	17	:	:	PUNCT
m-1155	127	18	2992	2992	NUM
m-1155	127	19	-	-	SYM
m-1155	127	20	4421	4421	NUM
m-1155	127	21	)	)	PUNCT
m-1155	128	1	thomas	thomas	PROPN
m-1155	128	2	,	,	PUNCT
m-1155	128	3	henry	henry	PROPN
m-1155	128	4	sylvester	sylvester	PROPN
m-1155	128	5	*	*	PUNCT
m-1155	128	6	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-1155	128	7	volume	volume	NOUN
m-1155	128	8	08	08	NUM
m-1155	128	9	||	||	PROPN
m-1155	128	10	issue	issue	NOUN
m-1155	128	11	09	09	NUM
m-1155	128	12	||	||	NOUN
m-1155	128	13	september	september	PROPN
m-1155	128	14	,	,	PUNCT
m-1155	128	15	2025	2025	NUM
m-1155	128	16	||	||	PUNCT
m-1155	129	1	“	"	PUNCT
m-1155	129	2	caputo	caputo	PROPN
m-1155	129	3	-	-	PUNCT
m-1155	129	4	fabrizio	fabrizio	PROPN
m-1155	129	5	fractional	fractional	ADJ
m-1155	129	6	drivatives	drivative	NOUN
m-1155	129	7	of	of	ADP
m-1155	129	8	age	age	NOUN
m-1155	129	9	-	-	PUNCT
m-1155	129	10	structured	structure	VERB
m-1155	129	11	dipptheria	dipptheria	NOUN
m-1155	129	12	infection	infection	NOUN
m-1155	129	13	model	model	NOUN
m-1155	129	14	with	with	ADP
m-1155	129	15	laplace	laplace	NOUN
m-1155	129	16	adomian	adomian	NOUN
m-1155	129	17	decomposition	decomposition	NOUN
m-1155	129	18	analysis	analysis	NOUN
m-1155	129	19	"	"	PUNCT
m-1155	129	20	ℒ	ℒ	PROPN
m-1155	129	21	�	�	PROPN
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m-1155	129	23	�	�	PROPN
m-1155	129	24	�	�	PROPN
m-1155	129	25	�	�	PROPN
m-1155	129	26	(	(	PUNCT
m-1155	129	27	�	�	PROPN
m-1155	129	28	)	)	PUNCT
m-1155	129	29	�	�	PROPN
m-1155	129	30	�	�	PROPN
m-1155	129	31	�	�	PROPN
m-1155	129	32	�	�	PROPN
m-1155	129	33	�	�	PROPN
m-1155	129	34	=	=	SYM
m-1155	129	35	�	�	PROPN
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m-1155	129	37	)	)	PUNCT
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m-1155	129	39	+	+	CCONJ
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m-1155	129	41	+	+	SYM
m-1155	129	42	�	�	PROPN
m-1155	129	43	(	(	PUNCT
m-1155	129	44	1	1	NUM
m-1155	129	45	−	−	PROPN
m-1155	129	46	�	�	PROPN
m-1155	129	47	)	)	PUNCT
m-1155	129	48	�	�	PROPN
m-1155	129	49	ℒ	ℒ	PROPN
m-1155	129	50	�	�	PROPN
m-1155	129	51	�	�	PROPN
m-1155	129	52	1	1	NUM
m-1155	129	53	�	�	PROPN
m-1155	129	54	�	�	PROPN
m-1155	129	55	�	�	PROPN
m-1155	129	56	�	�	PROPN
m-1155	129	57	∞	∞	NUM
m-1155	129	58	�	�	PROPN
m-1155	129	59	=	=	SYM
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m-1155	129	61	−	−	PROPN
m-1155	129	62	�	�	PROPN
m-1155	129	63	�	�	PROPN
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m-1155	129	65	+	+	NUM
m-1155	129	66	�	�	NOUN
m-1155	129	67	1	1	NUM
m-1155	129	68	+	+	CCONJ
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m-1155	129	73	�	�	PROPN
m-1155	129	74	�	�	PROPN
m-1155	129	75	1	1	NUM
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m-1155	129	77	∞	∞	NUM
m-1155	129	78	�	�	PROPN
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m-1155	129	83	4.8.5	4.8.5	PROPN
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m-1155	129	87	�	�	PROPN
m-1155	129	88	�	�	PROPN
m-1155	129	89	�	�	PROPN
m-1155	129	90	�	�	PROPN
m-1155	129	91	(	(	PUNCT
m-1155	129	92	�	�	PROPN
m-1155	129	93	)	)	PUNCT
m-1155	129	94	�	�	PROPN
m-1155	129	95	�	�	PROPN
m-1155	129	96	�	�	PROPN
m-1155	129	97	�	�	PROPN
m-1155	129	98	�	�	PROPN
m-1155	129	99	=	=	SYM
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m-1155	129	112	)	)	PUNCT
m-1155	129	113	�	�	PROPN
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m-1155	129	115	�	�	PROPN
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m-1155	129	117	2(1	2(1	NUM
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m-1155	129	119	�	�	PROPN
m-1155	129	120	)	)	PUNCT
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m-1155	129	125	�	�	PROPN
m-1155	129	126	=	=	PROPN
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m-1155	129	130	�	�	PROPN
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m-1155	129	132	+	+	CCONJ
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m-1155	129	137	+	+	CCONJ
m-1155	129	138	�	�	PROPN
m-1155	129	139	)	)	PUNCT
m-1155	129	140	�	�	PROPN
m-1155	129	141	�	�	PROPN
m-1155	129	142	2	2	NUM
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m-1155	129	150	4.8.6	4.8.6	NOUN
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m-1155	129	152	ℒ	ℒ	PROPN
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m-1155	129	154	�	�	PROPN
m-1155	129	155	�	�	PROPN
m-1155	129	156	�	�	PROPN
m-1155	129	157	�	�	PROPN
m-1155	129	158	(	(	PUNCT
m-1155	129	159	�	�	PROPN
m-1155	129	160	)	)	PUNCT
m-1155	129	161	�	�	PROPN
m-1155	129	162	�	�	PROPN
m-1155	129	163	�	�	PROPN
m-1155	129	164	�	�	PROPN
m-1155	129	165	�	�	PROPN
m-1155	129	166	=	=	SYM
m-1155	129	167	�	�	PROPN
m-1155	129	168	�	�	PROPN
m-1155	129	169	(	(	PUNCT
m-1155	129	170	0	0	NUM
m-1155	129	171	)	)	PUNCT
m-1155	129	172	�	�	PROPN
m-1155	129	173	+	+	CCONJ
m-1155	129	174	�	�	PROPN
m-1155	129	175	+	+	SYM
m-1155	129	176	�	�	PROPN
m-1155	129	177	(	(	PUNCT
m-1155	129	178	1	1	NUM
m-1155	129	179	−	−	PROPN
m-1155	129	180	�	�	PROPN
m-1155	129	181	)	)	PUNCT
m-1155	129	182	�	�	PROPN
m-1155	129	183	ℒ	ℒ	PROPN
m-1155	129	184	�	�	PROPN
m-1155	129	185	�	�	PROPN
m-1155	129	186	1	1	NUM
m-1155	129	187	�	�	PROPN
m-1155	129	188	�	�	PROPN
m-1155	129	189	1	1	NUM
m-1155	129	190	�	�	PROPN
m-1155	129	191	∞	∞	NUM
m-1155	129	192	�	�	PROPN
m-1155	129	193	=	=	SYM
m-1155	129	194	0	0	NUM
m-1155	129	195	+	+	NUM
m-1155	129	196	�	�	PROPN
m-1155	129	197	2	2	NUM
m-1155	129	198	�	�	PROPN
m-1155	129	199	�	�	PROPN
m-1155	129	200	2	2	NUM
m-1155	129	201	�	�	PROPN
m-1155	129	202	∞	∞	NUM
m-1155	129	203	�	�	PROPN
m-1155	129	204	=	=	NOUN
m-1155	129	205	0	0	NUM
m-1155	129	206	−	−	PROPN
m-1155	129	207	(	(	PUNCT
m-1155	129	208	�	�	NOUN
m-1155	129	209	3	3	NUM
m-1155	129	210	+	+	CCONJ
m-1155	129	211	�	�	PROPN
m-1155	129	212	+	+	CCONJ
m-1155	129	213	�	�	PROPN
m-1155	129	214	)	)	PUNCT
m-1155	129	215	�	�	PROPN
m-1155	129	216	�	�	PROPN
m-1155	129	217	�	�	PROPN
m-1155	129	218	�	�	PROPN
m-1155	129	219	∞	∞	NUM
m-1155	129	220	�	�	PROPN
m-1155	129	221	=	=	SYM
m-1155	129	222	0	0	NUM
m-1155	129	223	�	�	PROPN
m-1155	129	224	(	(	PUNCT
m-1155	129	225	4.8	4.8	NUM
m-1155	129	226	.	.	NOUN
m-1155	129	227	7	7	X
m-1155	129	228	)	)	PUNCT
m-1155	129	229	ijo	ijo	PROPN
m-1155	129	230	journals	journal	NOUN
m-1155	129	231	volume	volume	NOUN
m-1155	129	232	08	08	NUM
m-1155	130	1	|	|	ADV
m-1155	130	2	issue	issue	NOUN
m-1155	130	3	09	09	NUM
m-1155	130	4	|	|	ADV
m-1155	130	5	september	september	PROPN
m-1155	130	6	2025	2025	NUM
m-1155	131	1	|	|	ADV
m-1155	131	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	PROPN
m-1155	131	3	55	55	NUM
m-1155	131	4	ijo	ijo	PROPN
m-1155	131	5	international	international	ADJ
m-1155	131	6	journal	journal	PROPN
m-1155	131	7	of	of	ADP
m-1155	131	8	mathematics	mathematics	PROPN
m-1155	131	9	(	(	PUNCT
m-1155	131	10	issn	issn	PROPN
m-1155	131	11	:	:	PUNCT
m-1155	131	12	2992	2992	NUM
m-1155	131	13	-	-	SYM
m-1155	131	14	4421	4421	NUM
m-1155	131	15	)	)	PUNCT
m-1155	131	16	thomas	thomas	PROPN
m-1155	131	17	,	,	PUNCT
m-1155	132	1	henry	henry	PROPN
m-1155	132	2	sylvester	sylvester	PROPN
m-1155	132	3	*	*	PUNCT
m-1155	132	4	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-1155	132	5	volume	volume	NOUN
m-1155	132	6	08	08	NUM
m-1155	132	7	||	||	PROPN
m-1155	132	8	issue	issue	NOUN
m-1155	132	9	09	09	NUM
m-1155	132	10	||	||	NOUN
m-1155	132	11	september	september	PROPN
m-1155	132	12	,	,	PUNCT
m-1155	132	13	2025	2025	NUM
m-1155	132	14	||	||	PUNCT
m-1155	133	1	“	"	PUNCT
m-1155	133	2	caputo	caputo	PROPN
m-1155	133	3	-	-	PUNCT
m-1155	133	4	fabrizio	fabrizio	PROPN
m-1155	133	5	fractional	fractional	ADJ
m-1155	133	6	drivatives	drivative	NOUN
m-1155	133	7	of	of	ADP
m-1155	133	8	age	age	NOUN
m-1155	133	9	-	-	PUNCT
m-1155	133	10	structured	structure	VERB
m-1155	133	11	dipptheria	dipptheria	NOUN
m-1155	133	12	infection	infection	NOUN
m-1155	133	13	model	model	NOUN
m-1155	133	14	with	with	ADP
m-1155	133	15	laplace	laplace	NOUN
m-1155	133	16	adomian	adomian	NOUN
m-1155	133	17	decomposition	decomposition	NOUN
m-1155	133	18	analysis	analysis	NOUN
m-1155	133	19	"	"	PUNCT
m-1155	133	20	ℒ	ℒ	PROPN
m-1155	133	21	�	�	PROPN
m-1155	133	22	�	�	PROPN
m-1155	133	23	�	�	PROPN
m-1155	133	24	�	�	PROPN
m-1155	133	25	(	(	PUNCT
m-1155	133	26	�	�	PROPN
m-1155	133	27	)	)	PUNCT
m-1155	133	28	�	�	PROPN
m-1155	133	29	�	�	PROPN
m-1155	133	30	�	�	PROPN
m-1155	133	31	�	�	PROPN
m-1155	133	32	�	�	PROPN
m-1155	133	33	=	=	SYM
m-1155	133	34	�	�	PROPN
m-1155	133	35	(	(	PUNCT
m-1155	133	36	0	0	NUM
m-1155	133	37	)	)	PUNCT
m-1155	133	38	�	�	PROPN
m-1155	133	39	+	+	CCONJ
m-1155	133	40	�	�	PROPN
m-1155	133	41	+	+	SYM
m-1155	133	42	�	�	PROPN
m-1155	133	43	(	(	PUNCT
m-1155	133	44	1	1	NUM
m-1155	133	45	−	−	PROPN
m-1155	133	46	�	�	PROPN
m-1155	133	47	)	)	PUNCT
m-1155	133	48	�	�	PROPN
m-1155	133	49	ℒ	ℒ	PROPN
m-1155	133	50	�	�	PROPN
m-1155	133	51	�	�	PROPN
m-1155	133	52	1	1	NUM
m-1155	133	53	�	�	PROPN
m-1155	133	54	�	�	PROPN
m-1155	133	55	1	1	NUM
m-1155	133	56	�	�	PROPN
m-1155	133	57	∞	∞	NUM
m-1155	133	58	�	�	PROPN
m-1155	133	59	=	=	SYM
m-1155	133	60	0	0	SYM
m-1155	133	61	+	+	NUM
m-1155	133	62	�	�	PROPN
m-1155	133	63	2	2	NUM
m-1155	133	64	�	�	PROPN
m-1155	133	65	�	�	PROPN
m-1155	133	66	2	2	NUM
m-1155	133	67	�	�	PROPN
m-1155	133	68	∞	∞	NUM
m-1155	133	69	�	�	PROPN
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m-1155	133	72	+	+	NUM
m-1155	133	73	�	�	PROPN
m-1155	133	74	3	3	NUM
m-1155	133	75	�	�	PROPN
m-1155	133	76	�	�	PROPN
m-1155	133	77	�	�	PROPN
m-1155	133	78	�	�	PROPN
m-1155	133	79	∞	∞	NUM
m-1155	133	80	�	�	PROPN
m-1155	133	81	=	=	SYM
m-1155	133	82	0	0	NUM
m-1155	133	83	−	−	PROPN
m-1155	133	84	�	�	PROPN
m-1155	133	85	�	�	PROPN
m-1155	133	86	�	�	PROPN
m-1155	133	87	�	�	PROPN
m-1155	133	88	∞	∞	PROPN
m-1155	133	89	�	�	PROPN
m-1155	133	90	=	=	SYM
m-1155	133	91	0	0	NUM
m-1155	133	92	�	�	PROPN
m-1155	133	93	(	(	PUNCT
m-1155	133	94	4.8.8	4.8.8	NOUN
m-1155	133	95	)	)	PUNCT
m-1155	133	96	using	use	VERB
m-1155	133	97	initial	initial	ADJ
m-1155	133	98	value	value	NOUN
m-1155	133	99	condition	condition	NOUN
m-1155	133	100	,	,	PUNCT
m-1155	133	101	�	�	PROPN
m-1155	133	102	�	�	PROPN
m-1155	133	103	(	(	PUNCT
m-1155	133	104	0	0	NUM
m-1155	133	105	)	)	PUNCT
m-1155	133	106	=	=	SYM
m-1155	133	107	�	�	PROPN
m-1155	133	108	�	�	PROPN
m-1155	133	109	�	�	PROPN
m-1155	133	110	,	,	PUNCT
m-1155	133	111	�	�	PROPN
m-1155	133	112	(	(	PUNCT
m-1155	133	113	0	0	NUM
m-1155	133	114	)	)	PUNCT
m-1155	133	115	=	=	SYM
m-1155	133	116	�	�	PROPN
m-1155	133	117	�	�	PROPN
m-1155	133	118	,	,	PUNCT
m-1155	133	119	�	�	PROPN
m-1155	133	120	�	�	PROPN
m-1155	133	121	(	(	PUNCT
m-1155	133	122	0	0	NUM
m-1155	133	123	)	)	PUNCT
m-1155	133	124	=	=	SYM
m-1155	133	125	�	�	PROPN
m-1155	133	126	�	�	PROPN
m-1155	133	127	�	�	PROPN
m-1155	133	128	�	�	PROPN
m-1155	133	129	�	�	PROPN
m-1155	133	130	(	(	PUNCT
m-1155	133	131	0	0	NUM
m-1155	133	132	)	)	PUNCT
m-1155	133	133	=	=	SYM
m-1155	133	134	�	�	PROPN
m-1155	133	135	�	�	PROPN
m-1155	133	136	�	�	PROPN
m-1155	133	137	,	,	PUNCT
m-1155	133	138	�	�	PROPN
m-1155	133	139	(	(	PUNCT
m-1155	133	140	0	0	NUM
m-1155	133	141	)	)	PUNCT
m-1155	133	142	=	=	SYM
m-1155	133	143	�	�	PROPN
m-1155	133	144	�	�	PROPN
m-1155	133	145	,	,	PUNCT
m-1155	133	146	�	�	PROPN
m-1155	133	147	(	(	PUNCT
m-1155	133	148	�	�	PROPN
m-1155	133	149	)	)	PUNCT
m-1155	133	150	=	=	SYM
m-1155	133	151	�	�	PROPN
m-1155	133	152	�	�	PROPN
m-1155	133	153	,	,	PUNCT
m-1155	133	154	�	�	PROPN
m-1155	133	155	�	�	PROPN
m-1155	133	156	(	(	PUNCT
m-1155	133	157	0	0	NUM
m-1155	133	158	)	)	PUNCT
m-1155	133	159	=	=	SYM
m-1155	133	160	�	�	PROPN
m-1155	133	161	�	�	PROPN
m-1155	133	162	�	�	PROPN
m-1155	133	163	,	,	PUNCT
m-1155	133	164	�	�	PROPN
m-1155	133	165	�	�	PROPN
m-1155	133	166	(	(	PUNCT
m-1155	133	167	�	�	PROPN
m-1155	133	168	)	)	PUNCT
m-1155	133	169	=	=	SYM
m-1155	133	170	�	�	PROPN
m-1155	133	171	�	�	PROPN
m-1155	133	172	�	�	PROPN
m-1155	133	173	,	,	PUNCT
m-1155	133	174	matching	match	VERB
m-1155	133	175	the	the	DET
m-1155	133	176	items	item	NOUN
m-1155	133	177	on	on	ADP
m-1155	133	178	both	both	DET
m-1155	133	179	sides	side	NOUN
m-1155	133	180	of	of	ADP
m-1155	133	181	(	(	PUNCT
m-1155	133	182	4.8.1	4.8.1	NOUN
m-1155	133	183	)	)	PUNCT
m-1155	133	184	–	–	PUNCT
m-1155	133	185	(	(	PUNCT
m-1155	133	186	4.8.8	4.8.8	NOUN
m-1155	133	187	)	)	PUNCT
m-1155	133	188	and	and	CCONJ
m-1155	133	189	applying	apply	VERB
m-1155	133	190	�	�	PROPN
m-1155	133	191	�	�	PROPN
m-1155	133	192	�	�	PROPN
m-1155	133	193	(	(	PUNCT
m-1155	133	194	�	�	PROPN
m-1155	133	195	)	)	PUNCT
m-1155	133	196	�	�	PROPN
m-1155	133	197	�	�	PROPN
m-1155	133	198	�	�	PROPN
m-1155	133	199	(	(	PUNCT
m-1155	133	200	�	�	PROPN
m-1155	133	201	)	)	PUNCT
m-1155	133	202	=	=	SYM
m-1155	133	203	�	�	PROPN
m-1155	133	204	�	�	PROPN
m-1155	133	205	�	�	PROPN
m-1155	133	206	,	,	PUNCT
m-1155	133	207	�	�	PROPN
m-1155	133	208	�	�	PROPN
m-1155	133	209	�	�	PROPN
m-1155	133	210	(	(	PUNCT
m-1155	133	211	�	�	PROPN
m-1155	133	212	)	)	PUNCT
m-1155	133	213	�	�	PROPN
m-1155	133	214	�	�	PROPN
m-1155	133	215	�	�	PROPN
m-1155	133	216	(	(	PUNCT
m-1155	133	217	�	�	PROPN
m-1155	133	218	)	)	PUNCT
m-1155	133	219	=	=	SYM
m-1155	133	220	�	�	PROPN
m-1155	133	221	�	�	PROPN
m-1155	133	222	�	�	PROPN
m-1155	133	223	,	,	PUNCT
m-1155	133	224	�	�	PROPN
m-1155	133	225	�	�	PROPN
m-1155	133	226	�	�	PROPN
m-1155	133	227	(	(	PUNCT
m-1155	133	228	�	�	PROPN
m-1155	133	229	)	)	PUNCT
m-1155	133	230	�	�	PROPN
m-1155	133	231	�	�	PROPN
m-1155	133	232	�	�	PROPN
m-1155	133	233	(	(	PUNCT
m-1155	133	234	�	�	PROPN
m-1155	133	235	)	)	PUNCT
m-1155	133	236	=	=	SYM
m-1155	133	237	�	�	PROPN
m-1155	133	238	�	�	PROPN
m-1155	133	239	�	�	PROPN
m-1155	133	240	,	,	PUNCT
m-1155	133	241	�	�	PROPN
m-1155	133	242	�	�	PROPN
m-1155	133	243	�	�	PROPN
m-1155	133	244	(	(	PUNCT
m-1155	133	245	�	�	PROPN
m-1155	133	246	)	)	PUNCT
m-1155	133	247	�	�	PROPN
m-1155	133	248	�	�	PROPN
m-1155	133	249	�	�	PROPN
m-1155	133	250	(	(	PUNCT
m-1155	133	251	�	�	PROPN
m-1155	133	252	)	)	PUNCT
m-1155	133	253	=	=	SYM
m-1155	133	254	�	�	PROPN
m-1155	133	255	�	�	PROPN
m-1155	133	256	�	�	PROPN
m-1155	133	257	the	the	DET
m-1155	133	258	general	general	ADJ
m-1155	133	259	term	term	NOUN
m-1155	133	260	of	of	ADP
m-1155	133	261	the	the	DET
m-1155	133	262	model	model	NOUN
m-1155	133	263	is	be	AUX
m-1155	133	264	given	give	VERB
m-1155	133	265	below	below	ADP
m-1155	133	266	�	�	PROPN
m-1155	133	267	�	�	PROPN
m-1155	133	268	�	�	PROPN
m-1155	133	269	(	(	PUNCT
m-1155	133	270	�	�	PROPN
m-1155	133	271	�	�	PROPN
m-1155	133	272	�	�	PROPN
m-1155	133	273	)	)	PUNCT
m-1155	133	274	(	(	PUNCT
m-1155	133	275	�	�	PROPN
m-1155	133	276	)	)	PUNCT
m-1155	133	277	�	�	PROPN
m-1155	133	278	�	�	PROPN
m-1155	133	279	�	�	PROPN
m-1155	133	280	�	�	PROPN
m-1155	133	281	=	=	SYM
m-1155	133	282	ℒ	ℒ	PROPN
m-1155	133	283	�	�	PROPN
m-1155	133	284	�	�	PROPN
m-1155	133	285	�	�	PROPN
m-1155	133	286	�	�	PROPN
m-1155	133	287	+	+	CCONJ
m-1155	133	288	�	�	PROPN
m-1155	133	289	(	(	PUNCT
m-1155	133	290	1	1	NUM
m-1155	133	291	−	−	PROPN
m-1155	133	292	�	�	PROPN
m-1155	133	293	)	)	PUNCT
m-1155	133	294	�	�	PROPN
m-1155	133	295	ℒ	ℒ	PROPN
m-1155	133	296	�	�	PROPN
m-1155	133	297	�	�	PROPN
m-1155	133	298	�	�	PROPN
m-1155	133	299	�	�	PROPN
m-1155	133	300	−	−	PROPN
m-1155	133	301	�	�	PROPN
m-1155	133	302	�	�	PROPN
m-1155	133	303	�	�	PROPN
m-1155	133	304	�	�	PROPN
m-1155	133	305	�	�	PROPN
m-1155	133	306	�	�	PROPN
m-1155	133	307	�	�	PROPN
m-1155	133	308	�	�	PROPN
m-1155	133	309	�	�	PROPN
m-1155	133	310	�	�	PROPN
m-1155	133	311	�	�	PROPN
m-1155	133	312	�	�	PROPN
m-1155	133	313	−	−	PROPN
m-1155	133	314	�	�	PROPN
m-1155	133	315	�	�	PROPN
m-1155	133	316	�	�	PROPN
m-1155	133	317	−	−	PROPN
m-1155	133	318	�	�	PROPN
m-1155	133	319	�	�	PROPN
m-1155	133	320	�	�	PROPN
m-1155	133	321	�	�	PROPN
m-1155	133	322	�	�	PROPN
m-1155	133	323	�	�	PROPN
m-1155	133	324	�	�	PROPN
m-1155	133	325	�	�	PROPN
m-1155	133	326	�	�	PROPN
m-1155	133	327	�	�	PROPN
m-1155	133	328	�	�	PROPN
m-1155	133	329	�	�	PROPN
m-1155	133	330	−	−	PROPN
m-1155	133	331	�	�	PROPN
m-1155	133	332	�	�	PROPN
m-1155	133	333	�	�	PROPN
m-1155	133	334	−	−	PROPN
m-1155	133	335	(	(	PUNCT
m-1155	133	336	�	�	PROPN
m-1155	133	337	�	�	PROPN
m-1155	133	338	�	�	PROPN
m-1155	133	339	+	+	CCONJ
m-1155	133	340	�	�	PROPN
m-1155	133	341	+	+	CCONJ
m-1155	133	342	�	�	PROPN
m-1155	133	343	)	)	PUNCT
m-1155	133	344	�	�	PROPN
m-1155	133	345	�	�	PROPN
m-1155	133	346	�	�	PROPN
m-1155	133	347	�	�	PROPN
m-1155	133	348	�	�	PROPN
m-1155	133	349	(	(	PUNCT
m-1155	133	350	4.9.1	4.9.1	NUM
m-1155	133	351	)	)	PUNCT
m-1155	133	352	�	�	PROPN
m-1155	133	353	�	�	PROPN
m-1155	133	354	�	�	PROPN
m-1155	133	355	(	(	PUNCT
m-1155	133	356	�	�	PROPN
m-1155	133	357	�	�	PROPN
m-1155	133	358	�	�	PROPN
m-1155	133	359	)	)	PUNCT
m-1155	133	360	(	(	PUNCT
m-1155	133	361	�	�	PROPN
m-1155	133	362	)	)	PUNCT
m-1155	133	363	�	�	PROPN
m-1155	133	364	�	�	PROPN
m-1155	133	365	�	�	PROPN
m-1155	133	366	�	�	PROPN
m-1155	133	367	=	=	SYM
m-1155	133	368	ℒ	ℒ	PROPN
m-1155	133	369	�	�	PROPN
m-1155	133	370	�	�	PROPN
m-1155	133	371	�	�	PROPN
m-1155	133	372	�	�	PROPN
m-1155	133	373	+	+	CCONJ
m-1155	133	374	�	�	PROPN
m-1155	133	375	(	(	PUNCT
m-1155	133	376	1	1	NUM
m-1155	133	377	−	−	PROPN
m-1155	133	378	�	�	PROPN
m-1155	133	379	)	)	PUNCT
m-1155	133	380	�	�	PROPN
m-1155	133	381	ℒ	ℒ	PROPN
m-1155	133	382	1	1	NUM
m-1155	133	383	�	�	PROPN
m-1155	133	384	�	�	PROPN
m-1155	133	385	ℒ	ℒ	PROPN
m-1155	133	386	�	�	PROPN
m-1155	133	387	�	�	PROPN
m-1155	133	388	�	�	PROPN
m-1155	133	389	�	�	PROPN
m-1155	133	390	�	�	PROPN
m-1155	133	391	−	−	PROPN
m-1155	133	392	�	�	PROPN
m-1155	133	393	�	�	PROPN
m-1155	133	394	�	�	PROPN
m-1155	133	395	�	�	PROPN
m-1155	133	396	�	�	PROPN
m-1155	133	397	�	�	PROPN
m-1155	133	398	�	�	PROPN
m-1155	133	399	�	�	PROPN
m-1155	133	400	�	�	PROPN
m-1155	133	401	�	�	PROPN
m-1155	133	402	�	�	PROPN
m-1155	133	403	�	�	PROPN
m-1155	133	404	−	−	PROPN
m-1155	133	405	�	�	PROPN
m-1155	133	406	�	�	PROPN
m-1155	133	407	�	�	PROPN
m-1155	133	408	−	−	PROPN
m-1155	133	409	�	�	PROPN
m-1155	133	410	�	�	PROPN
m-1155	133	411	�	�	PROPN
m-1155	133	412	�	�	PROPN
m-1155	133	413	�	�	PROPN
m-1155	133	414	�	�	PROPN
m-1155	133	415	�	�	PROPN
m-1155	133	416	�	�	PROPN
m-1155	133	417	�	�	PROPN
m-1155	133	418	�	�	PROPN
m-1155	133	419	�	�	PROPN
m-1155	133	420	�	�	PROPN
m-1155	133	421	−	−	PROPN
m-1155	133	422	�	�	PROPN
m-1155	133	423	�	�	PROPN
m-1155	133	424	�	�	PROPN
m-1155	133	425	−	−	PROPN
m-1155	133	426	(	(	PUNCT
m-1155	133	427	�	�	PROPN
m-1155	133	428	�	�	PROPN
m-1155	133	429	�	�	PROPN
m-1155	133	430	+	+	CCONJ
m-1155	133	431	�	�	PROPN
m-1155	133	432	)	)	PUNCT
m-1155	133	433	�	�	PROPN
m-1155	133	434	�	�	PROPN
m-1155	133	435	�	�	PROPN
m-1155	133	436	�	�	PROPN
m-1155	133	437	�	�	PROPN
m-1155	133	438	(	(	PUNCT
m-1155	133	439	4.9.2	4.9.2	NUM
m-1155	133	440	)	)	PUNCT
m-1155	134	1	�	�	PROPN
m-1155	134	2	�	�	PROPN
m-1155	134	3	�	�	PROPN
m-1155	134	4	�	�	PROPN
m-1155	134	5	�	�	PROPN
m-1155	134	6	(	(	PUNCT
m-1155	134	7	�	�	PROPN
m-1155	134	8	)	)	PUNCT
m-1155	134	9	�	�	PROPN
m-1155	134	10	�	�	PROPN
m-1155	134	11	�	�	PROPN
m-1155	134	12	�	�	PROPN
m-1155	134	13	=	=	SYM
m-1155	134	14	ℒ	ℒ	PROPN
m-1155	134	15	�	�	PROPN
m-1155	134	16	�	�	PROPN
m-1155	134	17	�	�	PROPN
m-1155	134	18	�	�	PROPN
m-1155	134	19	+	+	CCONJ
m-1155	134	20	�	�	PROPN
m-1155	134	21	(	(	PUNCT
m-1155	134	22	1	1	NUM
m-1155	134	23	−	−	PROPN
m-1155	134	24	�	�	PROPN
m-1155	134	25	)	)	PUNCT
m-1155	134	26	�	�	PROPN
m-1155	134	27	ℒ	ℒ	PROPN
m-1155	134	28	{	{	PUNCT
m-1155	134	29	�	�	PROPN
m-1155	134	30	�	�	PROPN
m-1155	134	31	�	�	PROPN
m-1155	134	32	�	�	PROPN
m-1155	134	33	�	�	PROPN
m-1155	134	34	�	�	PROPN
m-1155	134	35	+	+	SYM
m-1155	134	36	�	�	PROPN
m-1155	134	37	�	�	PROPN
m-1155	134	38	�	�	PROPN
m-1155	134	39	�	�	PROPN
m-1155	134	40	�	�	PROPN
m-1155	134	41	�	�	PROPN
m-1155	134	42	−	−	PROPN
m-1155	134	43	(	(	PUNCT
m-1155	134	44	�	�	PROPN
m-1155	134	45	+	+	CCONJ
m-1155	134	46	�	�	PROPN
m-1155	134	47	)	)	PUNCT
m-1155	134	48	�	�	PROPN
m-1155	134	49	�	�	PROPN
m-1155	134	50	}	}	SYM
m-1155	134	51	�	�	PROPN
m-1155	134	52	(	(	PUNCT
m-1155	134	53	4.9.3	4.9.3	NOUN
m-1155	134	54	)	)	PUNCT
m-1155	134	55	�	�	PROPN
m-1155	134	56	�	�	PROPN
m-1155	134	57	�	�	PROPN
m-1155	134	58	�	�	PROPN
m-1155	134	59	�	�	PROPN
m-1155	134	60	(	(	PUNCT
m-1155	134	61	�	�	PROPN
m-1155	134	62	)	)	PUNCT
m-1155	134	63	�	�	PROPN
m-1155	134	64	�	�	PROPN
m-1155	134	65	�	�	PROPN
m-1155	134	66	�	�	PROPN
m-1155	134	67	=	=	SYM
m-1155	134	68	ℒ	ℒ	PROPN
m-1155	134	69	�	�	PROPN
m-1155	134	70	�	�	PROPN
m-1155	134	71	�	�	PROPN
m-1155	134	72	�	�	PROPN
m-1155	134	73	+	+	CCONJ
m-1155	134	74	�	�	PROPN
m-1155	134	75	(	(	PUNCT
m-1155	134	76	1	1	NUM
m-1155	134	77	−	−	PROPN
m-1155	134	78	�	�	PROPN
m-1155	134	79	)	)	PUNCT
m-1155	134	80	�	�	PROPN
m-1155	134	81	ℒ	ℒ	PROPN
m-1155	134	82	�	�	PROPN
m-1155	134	83	�	�	PROPN
m-1155	134	84	�	�	PROPN
m-1155	134	85	�	�	PROPN
m-1155	134	86	�	�	PROPN
m-1155	134	87	�	�	PROPN
m-1155	134	88	�	�	PROPN
m-1155	134	89	�	�	PROPN
m-1155	134	90	�	�	PROPN
m-1155	134	91	�	�	PROPN
m-1155	134	92	�	�	PROPN
m-1155	134	93	�	�	PROPN
m-1155	134	94	�	�	PROPN
m-1155	134	95	−	−	PROPN
m-1155	134	96	�	�	PROPN
m-1155	134	97	�	�	PROPN
m-1155	134	98	�	�	PROPN
m-1155	134	99	+	+	SYM
m-1155	134	100	�	�	PROPN
m-1155	134	101	�	�	PROPN
m-1155	134	102	�	�	PROPN
m-1155	134	103	�	�	PROPN
m-1155	134	104	�	�	PROPN
m-1155	134	105	�	�	PROPN
m-1155	134	106	�	�	PROPN
m-1155	134	107	�	�	PROPN
m-1155	134	108	�	�	PROPN
m-1155	134	109	�	�	PROPN
m-1155	134	110	�	�	PROPN
m-1155	134	111	�	�	PROPN
m-1155	134	112	−	−	PROPN
m-1155	134	113	�	�	PROPN
m-1155	134	114	�	�	PROPN
m-1155	134	115	�	�	PROPN
m-1155	134	116	+	+	SYM
m-1155	134	117	�	�	PROPN
m-1155	134	118	�	�	PROPN
m-1155	134	119	�	�	PROPN
m-1155	134	120	�	�	PROPN
m-1155	134	121	�	�	PROPN
m-1155	134	122	�	�	PROPN
m-1155	134	123	�	�	PROPN
m-1155	134	124	�	�	PROPN
m-1155	134	125	�	�	PROPN
m-1155	134	126	�	�	PROPN
m-1155	134	127	�	�	PROPN
m-1155	134	128	�	�	PROPN
m-1155	134	129	−	−	PROPN
m-1155	134	130	�	�	PROPN
m-1155	134	131	�	�	PROPN
m-1155	134	132	�	�	PROPN
m-1155	134	133	+	+	SYM
m-1155	134	134	�	�	PROPN
m-1155	134	135	�	�	PROPN
m-1155	134	136	�	�	PROPN
m-1155	134	137	�	�	PROPN
m-1155	134	138	�	�	PROPN
m-1155	134	139	�	�	PROPN
m-1155	134	140	�	�	PROPN
m-1155	134	141	�	�	PROPN
m-1155	134	142	�	�	PROPN
m-1155	134	143	�	�	PROPN
m-1155	134	144	�	�	PROPN
m-1155	134	145	�	�	PROPN
m-1155	134	146	−	−	PROPN
m-1155	134	147	�	�	PROPN
m-1155	134	148	�	�	PROPN
m-1155	134	149	�	�	PROPN
m-1155	134	150	−	−	PROPN
m-1155	134	151	(	(	PUNCT
m-1155	134	152	�	�	PROPN
m-1155	134	153	�	�	PROPN
m-1155	134	154	�	�	PROPN
m-1155	134	155	+	+	SYM
m-1155	134	156	�	�	PROPN
m-1155	134	157	�	�	PROPN
m-1155	134	158	(	(	PUNCT
m-1155	134	159	1	1	NUM
m-1155	134	160	−	−	PROPN
m-1155	134	161	�	�	PROPN
m-1155	134	162	)	)	PUNCT
m-1155	134	163	+	+	NUM
m-1155	134	164	�	�	PROPN
m-1155	134	165	)	)	PUNCT
m-1155	134	166	�	�	PROPN
m-1155	134	167	�	�	PROPN
m-1155	134	168	�	�	PROPN
m-1155	134	169	�	�	PROPN
m-1155	134	170	(	(	PUNCT
m-1155	134	171	9.4	9.4	NUM
m-1155	134	172	)	)	PUNCT
m-1155	134	173	�	�	PROPN
m-1155	134	174	�	�	PROPN
m-1155	134	175	�	�	PROPN
m-1155	134	176	(	(	PUNCT
m-1155	134	177	�	�	PROPN
m-1155	134	178	�	�	PROPN
m-1155	134	179	�	�	PROPN
m-1155	134	180	)	)	PUNCT
m-1155	134	181	(	(	PUNCT
m-1155	134	182	�	�	PROPN
m-1155	134	183	)	)	PUNCT
m-1155	134	184	�	�	PROPN
m-1155	134	185	�	�	PROPN
m-1155	134	186	�	�	PROPN
m-1155	134	187	�	�	PROPN
m-1155	134	188	=	=	SYM
m-1155	134	189	ℒ	ℒ	PROPN
m-1155	134	190	�	�	PROPN
m-1155	134	191	�	�	PROPN
m-1155	134	192	�	�	PROPN
m-1155	134	193	�	�	PROPN
m-1155	134	194	+	+	CCONJ
m-1155	134	195	�	�	PROPN
m-1155	134	196	(	(	PUNCT
m-1155	134	197	1	1	NUM
m-1155	134	198	−	−	PROPN
m-1155	134	199	�	�	PROPN
m-1155	134	200	)	)	PUNCT
m-1155	134	201	�	�	PROPN
m-1155	134	202	ℒ	ℒ	PROPN
m-1155	134	203	{	{	PUNCT
m-1155	134	204	�	�	PROPN
m-1155	134	205	�	�	PROPN
m-1155	134	206	�	�	PROPN
m-1155	134	207	�	�	PROPN
m-1155	134	208	�	�	PROPN
m-1155	134	209	−	−	PROPN
m-1155	134	210	(	(	PUNCT
m-1155	134	211	�	�	PROPN
m-1155	134	212	�	�	PROPN
m-1155	134	213	+	+	SYM
m-1155	134	214	�	�	PROPN
m-1155	134	215	�	�	PROPN
m-1155	134	216	+	+	CCONJ
m-1155	134	217	�	�	PROPN
m-1155	134	218	+	+	CCONJ
m-1155	134	219	�	�	PROPN
m-1155	134	220	)	)	PUNCT
m-1155	134	221	�	�	PROPN
m-1155	134	222	�	�	PROPN
m-1155	134	223	�	�	PROPN
m-1155	134	224	}	}	SYM
m-1155	134	225	�	�	PROPN
m-1155	134	226	(	(	PUNCT
m-1155	134	227	4.9.5	4.9.5	NUM
m-1155	134	228	)	)	PUNCT
m-1155	134	229	ijo	ijo	PROPN
m-1155	134	230	journals	journal	NOUN
m-1155	134	231	volume	volume	NOUN
m-1155	134	232	08	08	NUM
m-1155	135	1	|	|	ADV
m-1155	135	2	issue	issue	NOUN
m-1155	135	3	09	09	NUM
m-1155	135	4	|	|	ADV
m-1155	135	5	september	september	PROPN
m-1155	135	6	2025	2025	NUM
m-1155	136	1	|	|	ADV
m-1155	136	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	PROPN
m-1155	136	3	56	56	NUM
m-1155	136	4	ijo	ijo	PROPN
m-1155	136	5	international	international	PROPN
m-1155	136	6	journal	journal	PROPN
m-1155	136	7	of	of	ADP
m-1155	136	8	mathematics	mathematics	PROPN
m-1155	136	9	(	(	PUNCT
m-1155	136	10	issn	issn	PROPN
m-1155	136	11	:	:	PUNCT
m-1155	136	12	2992	2992	NUM
m-1155	136	13	-	-	SYM
m-1155	136	14	4421	4421	NUM
m-1155	136	15	)	)	PUNCT
m-1155	137	1	thomas	thomas	PROPN
m-1155	137	2	,	,	PUNCT
m-1155	137	3	henry	henry	PROPN
m-1155	137	4	sylvester	sylvester	PROPN
m-1155	137	5	*	*	PUNCT
m-1155	137	6	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-1155	137	7	volume	volume	NOUN
m-1155	137	8	08	08	NUM
m-1155	137	9	||	||	PROPN
m-1155	137	10	issue	issue	NOUN
m-1155	137	11	09	09	NUM
m-1155	137	12	||	||	NOUN
m-1155	137	13	september	september	PROPN
m-1155	137	14	,	,	PUNCT
m-1155	137	15	2025	2025	NUM
m-1155	137	16	||	||	PUNCT
m-1155	138	1	“	"	PUNCT
m-1155	138	2	caputo	caputo	PROPN
m-1155	138	3	-	-	PUNCT
m-1155	138	4	fabrizio	fabrizio	PROPN
m-1155	138	5	fractional	fractional	ADJ
m-1155	138	6	drivatives	drivative	NOUN
m-1155	138	7	of	of	ADP
m-1155	138	8	age	age	NOUN
m-1155	138	9	-	-	PUNCT
m-1155	138	10	structured	structure	VERB
m-1155	138	11	dipptheria	dipptheria	NOUN
m-1155	138	12	infection	infection	NOUN
m-1155	138	13	model	model	NOUN
m-1155	138	14	with	with	ADP
m-1155	138	15	laplace	laplace	NOUN
m-1155	138	16	adomian	adomian	NOUN
m-1155	138	17	decomposition	decomposition	NOUN
m-1155	138	18	analysis	analysis	NOUN
m-1155	138	19	"	"	PUNCT
m-1155	138	20	�	�	PROPN
m-1155	138	21	�	�	PROPN
m-1155	138	22	�	�	PROPN
m-1155	138	23	(	(	PUNCT
m-1155	138	24	�	�	PROPN
m-1155	138	25	�	�	PROPN
m-1155	138	26	�	�	PROPN
m-1155	138	27	)	)	PUNCT
m-1155	138	28	(	(	PUNCT
m-1155	138	29	�	�	PROPN
m-1155	138	30	)	)	PUNCT
m-1155	138	31	�	�	PROPN
m-1155	138	32	�	�	PROPN
m-1155	138	33	�	�	PROPN
m-1155	138	34	�	�	PROPN
m-1155	138	35	=	=	SYM
m-1155	138	36	ℒ	ℒ	PROPN
m-1155	138	37	�	�	PROPN
m-1155	138	38	�	�	PROPN
m-1155	138	39	�	�	PROPN
m-1155	138	40	�	�	PROPN
m-1155	138	41	+	+	CCONJ
m-1155	138	42	�	�	PROPN
m-1155	138	43	(	(	PUNCT
m-1155	138	44	1	1	NUM
m-1155	138	45	−	−	PROPN
m-1155	138	46	�	�	PROPN
m-1155	138	47	)	)	PUNCT
m-1155	138	48	�	�	PROPN
m-1155	138	49	ℒ{	ℒ{	PROPN
m-1155	138	50	�	�	PROPN
m-1155	138	51	�	�	PROPN
m-1155	138	52	(1	(1	PUNCT
m-1155	138	53	−	−	PROPN
m-1155	138	54	�	�	SYM
m-1155	138	55	)	)	PUNCT
m-1155	138	56	�	�	PROPN
m-1155	138	57	�	�	PROPN
m-1155	138	58	−	−	PROPN
m-1155	138	59	(	(	PUNCT
m-1155	138	60	�	�	PROPN
m-1155	138	61	�	�	PROPN
m-1155	138	62	+	+	SYM
m-1155	138	63	�	�	PROPN
m-1155	138	64	�	�	PROPN
m-1155	138	65	+	+	CCONJ
m-1155	138	66	�	�	PROPN
m-1155	138	67	+	+	CCONJ
m-1155	138	68	�	�	PROPN
m-1155	138	69	)	)	PUNCT
m-1155	138	70	�	�	PROPN
m-1155	138	71	�	�	PROPN
m-1155	138	72	�	�	PROPN
m-1155	138	73	}	}	SYM
m-1155	138	74	�	�	PROPN
m-1155	138	75	(	(	PUNCT
m-1155	138	76	4.9.6	4.9.6	NOUN
m-1155	138	77	)	)	PUNCT
m-1155	138	78	�	�	PROPN
m-1155	138	79	�	�	PROPN
m-1155	138	80	�	�	PROPN
m-1155	138	81	(	(	PUNCT
m-1155	138	82	�	�	PROPN
m-1155	138	83	�	�	PROPN
m-1155	138	84	�	�	PROPN
m-1155	138	85	)	)	PUNCT
m-1155	138	86	(	(	PUNCT
m-1155	138	87	�	�	PROPN
m-1155	138	88	)	)	PUNCT
m-1155	138	89	�	�	PROPN
m-1155	138	90	�	�	PROPN
m-1155	138	91	�	�	PROPN
m-1155	138	92	�	�	PROPN
m-1155	138	93	=	=	SYM
m-1155	138	94	ℒ	ℒ	PROPN
m-1155	138	95	�	�	PROPN
m-1155	138	96	�	�	PROPN
m-1155	138	97	�	�	PROPN
m-1155	138	98	�	�	PROPN
m-1155	138	99	+	+	CCONJ
m-1155	138	100	�	�	PROPN
m-1155	138	101	(	(	PUNCT
m-1155	138	102	1	1	NUM
m-1155	138	103	−	−	PROPN
m-1155	138	104	�	�	PROPN
m-1155	138	105	)	)	PUNCT
m-1155	138	106	�	�	PROPN
m-1155	138	107	ℒ	ℒ	PROPN
m-1155	138	108	{	{	PUNCT
m-1155	138	109	�	�	PROPN
m-1155	138	110	�	�	PROPN
m-1155	138	111	�	�	PROPN
m-1155	138	112	�	�	PROPN
m-1155	138	113	�	�	PROPN
m-1155	138	114	+	+	SYM
m-1155	138	115	�	�	PROPN
m-1155	138	116	�	�	PROPN
m-1155	138	117	�	�	PROPN
m-1155	138	118	�	�	PROPN
m-1155	138	119	�	�	PROPN
m-1155	138	120	−	−	PROPN
m-1155	138	121	(	(	PUNCT
m-1155	138	122	�	�	PROPN
m-1155	138	123	�	�	PROPN
m-1155	138	124	+	+	CCONJ
m-1155	138	125	�	�	PROPN
m-1155	138	126	+	+	CCONJ
m-1155	138	127	�	�	PROPN
m-1155	138	128	)	)	PUNCT
m-1155	138	129	�	�	PROPN
m-1155	138	130	�	�	PROPN
m-1155	138	131	�	�	PROPN
m-1155	138	132	}	}	SYM
m-1155	138	133	�	�	PROPN
m-1155	138	134	(	(	PUNCT
m-1155	138	135	4.9.7	4.9.7	NUM
m-1155	138	136	)	)	PUNCT
m-1155	138	137	�	�	PROPN
m-1155	138	138	�	�	PROPN
m-1155	138	139	�	�	PROPN
m-1155	138	140	�	�	PROPN
m-1155	138	141	�	�	PROPN
m-1155	138	142	(	(	PUNCT
m-1155	138	143	�	�	PROPN
m-1155	138	144	)	)	PUNCT
m-1155	138	145	�	�	PROPN
m-1155	138	146	�	�	PROPN
m-1155	138	147	�	�	PROPN
m-1155	138	148	�	�	PROPN
m-1155	138	149	=	=	SYM
m-1155	138	150	ℒ	ℒ	PROPN
m-1155	138	151	�	�	PROPN
m-1155	138	152	�	�	PROPN
m-1155	138	153	�	�	PROPN
m-1155	138	154	�	�	PROPN
m-1155	138	155	+	+	CCONJ
m-1155	138	156	�	�	PROPN
m-1155	138	157	(	(	PUNCT
m-1155	138	158	1	1	NUM
m-1155	138	159	−	−	PROPN
m-1155	138	160	�	�	PROPN
m-1155	138	161	)	)	PUNCT
m-1155	138	162	�	�	PROPN
m-1155	138	163	ℒ	ℒ	PROPN
m-1155	138	164	{	{	PUNCT
m-1155	138	165	�	�	PROPN
m-1155	138	166	�	�	PROPN
m-1155	138	167	�	�	PROPN
m-1155	138	168	�	�	PROPN
m-1155	138	169	�	�	PROPN
m-1155	138	170	+	+	SYM
m-1155	138	171	�	�	PROPN
m-1155	138	172	�	�	PROPN
m-1155	138	173	�	�	PROPN
m-1155	138	174	�	�	PROPN
m-1155	138	175	�	�	PROPN
m-1155	138	176	+	+	SYM
m-1155	138	177	�	�	PROPN
m-1155	138	178	�	�	PROPN
m-1155	138	179	�	�	PROPN
m-1155	138	180	�	�	PROPN
m-1155	138	181	�	�	PROPN
m-1155	138	182	−	−	PROPN
m-1155	138	183	�	�	PROPN
m-1155	138	184	�	�	PROPN
m-1155	138	185	�	�	PROPN
m-1155	138	186	}	}	SYM
m-1155	138	187	�	�	PROPN
m-1155	138	188	(	(	PUNCT
m-1155	138	189	4.9	4.9	NUM
m-1155	138	190	.	.	X
m-1155	138	191	8)	8)	NUM
m-1155	138	192	let	let	VERB
m-1155	138	193	�	�	PROPN
m-1155	138	194	=	=	SYM
m-1155	138	195	0	0	NUM
m-1155	138	196	�	�	PROPN
m-1155	138	197	�	�	PROPN
m-1155	138	198	�	�	PROPN
m-1155	138	199	(	(	PUNCT
m-1155	138	200	�	�	PROPN
m-1155	138	201	)	)	PUNCT
m-1155	138	202	=	=	PUNCT
m-1155	138	203	ℒ	ℒ	PROPN
m-1155	138	204	�	�	PROPN
m-1155	138	205	�	�	PROPN
m-1155	138	206	�	�	PROPN
m-1155	138	207	�	�	PROPN
m-1155	138	208	+	+	CCONJ
m-1155	138	209	�	�	PROPN
m-1155	138	210	(	(	PUNCT
m-1155	138	211	1	1	NUM
m-1155	138	212	−	−	PROPN
m-1155	138	213	�	�	PROPN
m-1155	138	214	)	)	PUNCT
m-1155	138	215	�	�	PROPN
m-1155	138	216	ℒ	ℒ	PROPN
m-1155	138	217	�	�	PROPN
m-1155	138	218	�	�	PROPN
m-1155	138	219	�	�	PROPN
m-1155	138	220	�	�	PROPN
m-1155	138	221	−	−	PROPN
m-1155	138	222	�	�	PROPN
m-1155	138	223	�	�	PROPN
m-1155	138	224	�	�	PROPN
m-1155	138	225	�	�	PROPN
m-1155	138	226	�	�	PROPN
m-1155	138	227	�	�	PROPN
m-1155	138	228	�	�	PROPN
m-1155	138	229	�	�	PROPN
m-1155	138	230	�	�	PROPN
m-1155	138	231	�	�	PROPN
m-1155	138	232	�	�	PROPN
m-1155	138	233	�	�	PROPN
m-1155	138	234	−	−	PROPN
m-1155	138	235	�	�	PROPN
m-1155	138	236	�	�	PROPN
m-1155	138	237	�	�	PROPN
m-1155	138	238	−	−	PROPN
m-1155	138	239	�	�	PROPN
m-1155	138	240	�	�	PROPN
m-1155	138	241	�	�	PROPN
m-1155	138	242	�	�	PROPN
m-1155	138	243	�	�	PROPN
m-1155	138	244	�	�	PROPN
m-1155	138	245	�	�	PROPN
m-1155	138	246	�	�	PROPN
m-1155	138	247	�	�	PROPN
m-1155	138	248	�	�	PROPN
m-1155	138	249	�	�	PROPN
m-1155	138	250	�	�	PROPN
m-1155	138	251	−	−	PROPN
m-1155	138	252	�	�	PROPN
m-1155	138	253	�	�	PROPN
m-1155	138	254	�	�	PROPN
m-1155	138	255	−	−	PROPN
m-1155	138	256	(	(	PUNCT
m-1155	138	257	�	�	PROPN
m-1155	138	258	�	�	PROPN
m-1155	138	259	�	�	PROPN
m-1155	138	260	+	+	CCONJ
m-1155	138	261	�	�	PROPN
m-1155	138	262	+	+	CCONJ
m-1155	138	263	�	�	PROPN
m-1155	138	264	)	)	PUNCT
m-1155	138	265	�	�	PROPN
m-1155	138	266	�	�	PROPN
m-1155	138	267	�	�	PROPN
m-1155	138	268	�	�	PROPN
m-1155	138	269	�	�	PROPN
m-1155	138	270	(	(	PUNCT
m-1155	138	271	4.10.1	4.10.1	NUM
m-1155	138	272	)	)	PUNCT
m-1155	138	273	�	�	PROPN
m-1155	138	274	�	�	PROPN
m-1155	138	275	�	�	PROPN
m-1155	138	276	(	(	PUNCT
m-1155	138	277	�	�	PROPN
m-1155	138	278	)	)	PUNCT
m-1155	138	279	=	=	PUNCT
m-1155	138	280	ℒ	ℒ	PROPN
m-1155	138	281	�	�	PROPN
m-1155	138	282	�	�	PROPN
m-1155	138	283	�	�	PROPN
m-1155	138	284	�	�	PROPN
m-1155	138	285	+	+	CCONJ
m-1155	138	286	�	�	PROPN
m-1155	138	287	(	(	PUNCT
m-1155	138	288	1	1	NUM
m-1155	138	289	−	−	PROPN
m-1155	138	290	�	�	PROPN
m-1155	138	291	)	)	PUNCT
m-1155	138	292	�	�	PROPN
m-1155	138	293	ℒ	ℒ	PROPN
m-1155	138	294	1	1	NUM
m-1155	138	295	�	�	PROPN
m-1155	138	296	�	�	PROPN
m-1155	138	297	ℒ	ℒ	PROPN
m-1155	138	298	�	�	PROPN
m-1155	138	299	�	�	PROPN
m-1155	138	300	�	�	PROPN
m-1155	138	301	�	�	PROPN
m-1155	138	302	�	�	PROPN
m-1155	138	303	−	−	PROPN
m-1155	138	304	�	�	PROPN
m-1155	138	305	�	�	PROPN
m-1155	138	306	�	�	PROPN
m-1155	138	307	�	�	PROPN
m-1155	138	308	�	�	PROPN
m-1155	138	309	�	�	PROPN
m-1155	138	310	�	�	PROPN
m-1155	138	311	�	�	PROPN
m-1155	138	312	�	�	PROPN
m-1155	138	313	�	�	PROPN
m-1155	138	314	�	�	PROPN
m-1155	138	315	�	�	PROPN
m-1155	138	316	−	−	PROPN
m-1155	138	317	�	�	PROPN
m-1155	138	318	�	�	PROPN
m-1155	138	319	�	�	PROPN
m-1155	138	320	−	−	PROPN
m-1155	138	321	�	�	PROPN
m-1155	138	322	�	�	PROPN
m-1155	138	323	�	�	PROPN
m-1155	138	324	�	�	PROPN
m-1155	138	325	�	�	PROPN
m-1155	138	326	�	�	PROPN
m-1155	138	327	�	�	PROPN
m-1155	138	328	�	�	PROPN
m-1155	138	329	�	�	PROPN
m-1155	138	330	�	�	PROPN
m-1155	138	331	�	�	PROPN
m-1155	138	332	�	�	PROPN
m-1155	138	333	−	−	PROPN
m-1155	138	334	�	�	PROPN
m-1155	138	335	�	�	PROPN
m-1155	138	336	�	�	PROPN
m-1155	138	337	−	−	PROPN
m-1155	138	338	(	(	PUNCT
m-1155	138	339	�	�	PROPN
m-1155	138	340	�	�	PROPN
m-1155	138	341	�	�	PROPN
m-1155	138	342	+	+	CCONJ
m-1155	138	343	�	�	PROPN
m-1155	138	344	)	)	PUNCT
m-1155	138	345	�	�	PROPN
m-1155	138	346	�	�	PROPN
m-1155	138	347	�	�	PROPN
m-1155	138	348	�	�	PROPN
m-1155	138	349	�	�	PROPN
m-1155	138	350	(	(	PUNCT
m-1155	138	351	4.10.2	4.10.2	NUM
m-1155	138	352	)	)	PUNCT
m-1155	138	353	�	�	PROPN
m-1155	138	354	�	�	PROPN
m-1155	138	355	(	(	PUNCT
m-1155	138	356	�	�	PROPN
m-1155	138	357	)	)	PUNCT
m-1155	138	358	=	=	PUNCT
m-1155	138	359	ℒ	ℒ	PROPN
m-1155	138	360	�	�	PROPN
m-1155	138	361	�	�	PROPN
m-1155	138	362	�	�	PROPN
m-1155	138	363	�	�	PROPN
m-1155	138	364	+	+	CCONJ
m-1155	138	365	�	�	PROPN
m-1155	138	366	(	(	PUNCT
m-1155	138	367	1	1	NUM
m-1155	138	368	−	−	PROPN
m-1155	138	369	�	�	PROPN
m-1155	138	370	)	)	PUNCT
m-1155	138	371	�	�	PROPN
m-1155	138	372	ℒ	ℒ	PROPN
m-1155	138	373	{	{	PUNCT
m-1155	138	374	�	�	PROPN
m-1155	138	375	�	�	PROPN
m-1155	138	376	�	�	PROPN
m-1155	138	377	�	�	PROPN
m-1155	138	378	�	�	PROPN
m-1155	138	379	�	�	PROPN
m-1155	138	380	+	+	SYM
m-1155	138	381	�	�	PROPN
m-1155	138	382	�	�	PROPN
m-1155	138	383	�	�	PROPN
m-1155	138	384	�	�	PROPN
m-1155	138	385	�	�	PROPN
m-1155	138	386	�	�	PROPN
m-1155	138	387	−	−	PROPN
m-1155	138	388	(	(	PUNCT
m-1155	138	389	�	�	PROPN
m-1155	138	390	+	+	CCONJ
m-1155	138	391	�	�	PROPN
m-1155	138	392	)	)	PUNCT
m-1155	138	393	�	�	PROPN
m-1155	138	394	�	�	PROPN
m-1155	138	395	}	}	SYM
m-1155	138	396	�	�	PROPN
m-1155	138	397	(	(	PUNCT
m-1155	138	398	4.10.3	4.10.3	NUM
m-1155	138	399	)	)	PUNCT
m-1155	138	400	�	�	PROPN
m-1155	138	401	�	�	PROPN
m-1155	138	402	(	(	PUNCT
m-1155	138	403	�	�	PROPN
m-1155	138	404	)	)	PUNCT
m-1155	138	405	=	=	PUNCT
m-1155	138	406	ℒ	ℒ	PROPN
m-1155	138	407	�	�	PROPN
m-1155	138	408	�	�	PROPN
m-1155	138	409	�	�	PROPN
m-1155	138	410	�	�	PROPN
m-1155	138	411	+	+	CCONJ
m-1155	138	412	�	�	PROPN
m-1155	138	413	(	(	PUNCT
m-1155	138	414	1	1	NUM
m-1155	138	415	−	−	PROPN
m-1155	138	416	�	�	PROPN
m-1155	138	417	)	)	PUNCT
m-1155	138	418	�	�	PROPN
m-1155	138	419	ℒ	ℒ	PROPN
m-1155	138	420	�	�	PROPN
m-1155	138	421	�	�	PROPN
m-1155	138	422	�	�	PROPN
m-1155	138	423	�	�	PROPN
m-1155	138	424	�	�	PROPN
m-1155	138	425	�	�	PROPN
m-1155	138	426	�	�	PROPN
m-1155	138	427	�	�	PROPN
m-1155	138	428	�	�	PROPN
m-1155	138	429	�	�	PROPN
m-1155	138	430	�	�	PROPN
m-1155	138	431	�	�	PROPN
m-1155	138	432	�	�	PROPN
m-1155	138	433	−	−	PROPN
m-1155	138	434	�	�	PROPN
m-1155	138	435	�	�	PROPN
m-1155	138	436	�	�	PROPN
m-1155	138	437	+	+	SYM
m-1155	138	438	�	�	PROPN
m-1155	138	439	�	�	PROPN
m-1155	138	440	�	�	PROPN
m-1155	138	441	�	�	PROPN
m-1155	138	442	�	�	PROPN
m-1155	138	443	�	�	PROPN
m-1155	138	444	�	�	PROPN
m-1155	138	445	�	�	PROPN
m-1155	138	446	�	�	PROPN
m-1155	138	447	�	�	PROPN
m-1155	138	448	�	�	PROPN
m-1155	138	449	�	�	PROPN
m-1155	138	450	−	−	PROPN
m-1155	138	451	�	�	PROPN
m-1155	138	452	�	�	PROPN
m-1155	138	453	�	�	PROPN
m-1155	138	454	+	+	SYM
m-1155	138	455	�	�	PROPN
m-1155	138	456	�	�	PROPN
m-1155	138	457	�	�	PROPN
m-1155	138	458	�	�	PROPN
m-1155	138	459	�	�	PROPN
m-1155	138	460	�	�	PROPN
m-1155	138	461	�	�	PROPN
m-1155	138	462	�	�	PROPN
m-1155	138	463	�	�	PROPN
m-1155	138	464	�	�	PROPN
m-1155	138	465	�	�	PROPN
m-1155	138	466	�	�	PROPN
m-1155	138	467	−	−	PROPN
m-1155	138	468	�	�	PROPN
m-1155	138	469	�	�	PROPN
m-1155	138	470	�	�	PROPN
m-1155	138	471	+	+	SYM
m-1155	138	472	�	�	PROPN
m-1155	138	473	�	�	PROPN
m-1155	138	474	�	�	PROPN
m-1155	138	475	�	�	PROPN
m-1155	138	476	�	�	PROPN
m-1155	138	477	�	�	PROPN
m-1155	138	478	�	�	PROPN
m-1155	138	479	�	�	PROPN
m-1155	138	480	�	�	PROPN
m-1155	138	481	�	�	PROPN
m-1155	138	482	�	�	PROPN
m-1155	138	483	�	�	PROPN
m-1155	138	484	−	−	PROPN
m-1155	138	485	�	�	PROPN
m-1155	138	486	�	�	PROPN
m-1155	138	487	�	�	PROPN
m-1155	138	488	−	−	PROPN
m-1155	138	489	(	(	PUNCT
m-1155	138	490	�	�	PROPN
m-1155	138	491	�	�	PROPN
m-1155	138	492	�	�	PROPN
m-1155	138	493	+	+	SYM
m-1155	138	494	�	�	PROPN
m-1155	138	495	�	�	PROPN
m-1155	138	496	(	(	PUNCT
m-1155	138	497	1	1	NUM
m-1155	138	498	−	−	PROPN
m-1155	138	499	�	�	PROPN
m-1155	138	500	)	)	PUNCT
m-1155	138	501	+	+	NUM
m-1155	138	502	�	�	PROPN
m-1155	138	503	)	)	PUNCT
m-1155	138	504	�	�	PROPN
m-1155	138	505	�	�	PROPN
m-1155	138	506	�	�	PROPN
m-1155	138	507	�	�	PROPN
m-1155	138	508	(	(	PUNCT
m-1155	138	509	4.10.4	4.10.4	NUM
m-1155	138	510	)	)	PUNCT
m-1155	138	511	�	�	PROPN
m-1155	138	512	�	�	PROPN
m-1155	138	513	�	�	PROPN
m-1155	138	514	(	(	PUNCT
m-1155	138	515	�	�	PROPN
m-1155	138	516	)	)	PUNCT
m-1155	138	517	=	=	PUNCT
m-1155	138	518	ℒ	ℒ	PROPN
m-1155	138	519	�	�	PROPN
m-1155	138	520	�	�	PROPN
m-1155	138	521	�	�	PROPN
m-1155	138	522	�	�	PROPN
m-1155	138	523	+	+	CCONJ
m-1155	138	524	�	�	PROPN
m-1155	138	525	(	(	PUNCT
m-1155	138	526	1	1	NUM
m-1155	138	527	−	−	PROPN
m-1155	138	528	�	�	PROPN
m-1155	138	529	)	)	PUNCT
m-1155	138	530	�	�	PROPN
m-1155	138	531	ℒ	ℒ	PROPN
m-1155	138	532	{	{	PUNCT
m-1155	138	533	�	�	PROPN
m-1155	138	534	�	�	PROPN
m-1155	138	535	�	�	PROPN
m-1155	138	536	�	�	PROPN
m-1155	138	537	�	�	PROPN
m-1155	138	538	−	−	PROPN
m-1155	138	539	(	(	PUNCT
m-1155	138	540	�	�	PROPN
m-1155	138	541	�	�	PROPN
m-1155	138	542	+	+	SYM
m-1155	138	543	�	�	PROPN
m-1155	138	544	�	�	PROPN
m-1155	138	545	+	+	CCONJ
m-1155	138	546	�	�	PROPN
m-1155	138	547	+	+	CCONJ
m-1155	138	548	�	�	PROPN
m-1155	138	549	)	)	PUNCT
m-1155	138	550	�	�	PROPN
m-1155	138	551	�	�	PROPN
m-1155	138	552	�	�	PROPN
m-1155	138	553	}	}	SYM
m-1155	138	554	�	�	PROPN
m-1155	138	555	(	(	PUNCT
m-1155	138	556	4.10.5	4.10.5	NUM
m-1155	138	557	)	)	PUNCT
m-1155	138	558	�	�	PROPN
m-1155	138	559	�	�	PROPN
m-1155	138	560	�	�	PROPN
m-1155	138	561	(	(	PUNCT
m-1155	138	562	�	�	PROPN
m-1155	138	563	)	)	PUNCT
m-1155	138	564	=	=	PUNCT
m-1155	138	565	ℒ	ℒ	PROPN
m-1155	138	566	�	�	PROPN
m-1155	138	567	�	�	PROPN
m-1155	138	568	�	�	PROPN
m-1155	138	569	�	�	PROPN
m-1155	138	570	+	+	CCONJ
m-1155	138	571	�	�	PROPN
m-1155	138	572	(	(	PUNCT
m-1155	138	573	1	1	NUM
m-1155	138	574	−	−	PROPN
m-1155	138	575	�	�	PROPN
m-1155	138	576	)	)	PUNCT
m-1155	138	577	�	�	PROPN
m-1155	138	578	ℒ{	ℒ{	PROPN
m-1155	138	579	�	�	PROPN
m-1155	138	580	�	�	PROPN
m-1155	138	581	(1	(1	PUNCT
m-1155	138	582	−	−	PROPN
m-1155	138	583	�	�	SYM
m-1155	138	584	)	)	PUNCT
m-1155	138	585	�	�	PROPN
m-1155	138	586	�	�	PROPN
m-1155	138	587	−	−	PROPN
m-1155	138	588	(	(	PUNCT
m-1155	138	589	�	�	PROPN
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m-1155	138	591	+	+	SYM
m-1155	138	592	�	�	PROPN
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m-1155	138	594	+	+	CCONJ
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m-1155	138	596	+	+	CCONJ
m-1155	138	597	�	�	PROPN
m-1155	138	598	)	)	PUNCT
m-1155	138	599	�	�	PROPN
m-1155	138	600	�	�	PROPN
m-1155	138	601	�	�	PROPN
m-1155	138	602	}	}	SYM
m-1155	138	603	�	�	PROPN
m-1155	138	604	(	(	PUNCT
m-1155	138	605	4.10.6	4.10.6	NUM
m-1155	138	606	)	)	PUNCT
m-1155	138	607	�	�	PROPN
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m-1155	138	609	�	�	PROPN
m-1155	138	610	(	(	PUNCT
m-1155	138	611	�	�	PROPN
m-1155	138	612	)	)	PUNCT
m-1155	138	613	=	=	PUNCT
m-1155	138	614	ℒ	ℒ	PROPN
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m-1155	138	616	�	�	PROPN
m-1155	138	617	�	�	PROPN
m-1155	138	618	�	�	PROPN
m-1155	138	619	+	+	CCONJ
m-1155	138	620	�	�	PROPN
m-1155	138	621	(	(	PUNCT
m-1155	138	622	1	1	NUM
m-1155	138	623	−	−	PROPN
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m-1155	138	625	)	)	PUNCT
m-1155	138	626	�	�	PROPN
m-1155	138	627	ℒ	ℒ	PROPN
m-1155	138	628	{	{	PUNCT
m-1155	138	629	�	�	PROPN
m-1155	138	630	�	�	PROPN
m-1155	138	631	�	�	PROPN
m-1155	138	632	�	�	PROPN
m-1155	138	633	�	�	PROPN
m-1155	138	634	+	+	SYM
m-1155	138	635	�	�	PROPN
m-1155	138	636	�	�	PROPN
m-1155	138	637	�	�	PROPN
m-1155	138	638	�	�	PROPN
m-1155	138	639	�	�	PROPN
m-1155	138	640	−	−	PROPN
m-1155	138	641	(	(	PUNCT
m-1155	138	642	�	�	PROPN
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m-1155	138	644	+	+	CCONJ
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m-1155	138	646	+	+	CCONJ
m-1155	138	647	�	�	PROPN
m-1155	138	648	)	)	PUNCT
m-1155	138	649	�	�	PROPN
m-1155	138	650	�	�	PROPN
m-1155	138	651	�	�	PROPN
m-1155	138	652	}	}	SYM
m-1155	138	653	�	�	PROPN
m-1155	138	654	(	(	PUNCT
m-1155	138	655	4.10.7	4.10.7	NUM
m-1155	138	656	)	)	PUNCT
m-1155	138	657	ijo	ijo	PROPN
m-1155	138	658	journals	journal	NOUN
m-1155	138	659	volume	volume	NOUN
m-1155	138	660	08	08	NUM
m-1155	139	1	|	|	ADV
m-1155	139	2	issue	issue	NOUN
m-1155	139	3	09	09	NUM
m-1155	139	4	|	|	ADV
m-1155	139	5	september	september	PROPN
m-1155	139	6	2025	2025	NUM
m-1155	139	7	|	|	ADV
m-1155	139	8	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-1155	139	9	57	57	NUM
m-1155	139	10	ijo	ijo	PROPN
m-1155	139	11	international	international	ADJ
m-1155	139	12	journal	journal	PROPN
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m-1155	139	14	mathematics	mathematics	PROPN
m-1155	139	15	(	(	PUNCT
m-1155	139	16	issn	issn	PROPN
m-1155	139	17	:	:	PUNCT
m-1155	139	18	2992	2992	NUM
m-1155	139	19	-	-	SYM
m-1155	139	20	4421	4421	NUM
m-1155	139	21	)	)	PUNCT
m-1155	139	22	thomas	thomas	PROPN
m-1155	139	23	,	,	PUNCT
m-1155	140	1	henry	henry	PROPN
m-1155	140	2	sylvester	sylvester	PROPN
m-1155	140	3	*	*	PUNCT
m-1155	140	4	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-1155	140	5	volume	volume	NOUN
m-1155	140	6	08	08	NUM
m-1155	140	7	||	||	PROPN
m-1155	140	8	issue	issue	NOUN
m-1155	140	9	09	09	NUM
m-1155	140	10	||	||	NOUN
m-1155	140	11	september	september	PROPN
m-1155	140	12	,	,	PUNCT
m-1155	140	13	2025	2025	NUM
m-1155	140	14	||	||	PUNCT
m-1155	141	1	“	"	PUNCT
m-1155	141	2	caputo	caputo	PROPN
m-1155	141	3	-	-	PUNCT
m-1155	141	4	fabrizio	fabrizio	PROPN
m-1155	141	5	fractional	fractional	ADJ
m-1155	141	6	drivatives	drivative	NOUN
m-1155	141	7	of	of	ADP
m-1155	141	8	age	age	NOUN
m-1155	141	9	-	-	PUNCT
m-1155	141	10	structured	structure	VERB
m-1155	141	11	dipptheria	dipptheria	NOUN
m-1155	141	12	infection	infection	NOUN
m-1155	141	13	model	model	NOUN
m-1155	141	14	with	with	ADP
m-1155	141	15	laplace	laplace	NOUN
m-1155	141	16	adomian	adomian	NOUN
m-1155	141	17	decomposition	decomposition	NOUN
m-1155	141	18	analysis	analysis	NOUN
m-1155	141	19	"	"	PUNCT
m-1155	141	20	�	�	PROPN
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m-1155	141	22	(	(	PUNCT
m-1155	141	23	�	�	PROPN
m-1155	141	24	)	)	PUNCT
m-1155	141	25	=	=	PUNCT
m-1155	141	26	ℒ	ℒ	PROPN
m-1155	141	27	�	�	PROPN
m-1155	141	28	�	�	PROPN
m-1155	141	29	�	�	PROPN
m-1155	141	30	�	�	PROPN
m-1155	141	31	+	+	CCONJ
m-1155	141	32	�	�	PROPN
m-1155	141	33	(	(	PUNCT
m-1155	141	34	1	1	NUM
m-1155	141	35	−	−	PROPN
m-1155	141	36	�	�	PROPN
m-1155	141	37	)	)	PUNCT
m-1155	141	38	�	�	PROPN
m-1155	141	39	ℒ	ℒ	PROPN
m-1155	141	40	{	{	PUNCT
m-1155	141	41	�	�	PROPN
m-1155	141	42	�	�	PROPN
m-1155	141	43	�	�	PROPN
m-1155	141	44	�	�	PROPN
m-1155	141	45	�	�	PROPN
m-1155	141	46	+	+	SYM
m-1155	141	47	�	�	PROPN
m-1155	141	48	�	�	PROPN
m-1155	141	49	�	�	PROPN
m-1155	141	50	�	�	PROPN
m-1155	141	51	�	�	PROPN
m-1155	141	52	+	+	SYM
m-1155	141	53	�	�	PROPN
m-1155	141	54	�	�	PROPN
m-1155	141	55	�	�	PROPN
m-1155	141	56	�	�	PROPN
m-1155	141	57	�	�	PROPN
m-1155	141	58	−	−	PROPN
m-1155	141	59	�	�	PROPN
m-1155	141	60	�	�	PROPN
m-1155	141	61	�	�	PROPN
m-1155	141	62	}	}	SYM
m-1155	141	63	�	�	PROPN
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m-1155	141	65	4.10	4.10	NUM
m-1155	141	66	.	.	NOUN
m-1155	141	67	8)	8)	NUM
m-1155	141	68	�	�	PROPN
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m-1155	141	70	�	�	PROPN
m-1155	141	71	(	(	PUNCT
m-1155	141	72	�	�	PROPN
m-1155	141	73	)	)	PUNCT
m-1155	141	74	=	=	PUNCT
m-1155	141	75	ℒ	ℒ	PROPN
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m-1155	141	77	�	�	PROPN
m-1155	141	78	�	�	PROPN
m-1155	141	79	�	�	PROPN
m-1155	141	80	+	+	CCONJ
m-1155	141	81	�	�	PROPN
m-1155	141	82	(	(	PUNCT
m-1155	141	83	1	1	NUM
m-1155	141	84	−	−	PROPN
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m-1155	141	86	)	)	PUNCT
m-1155	141	87	�	�	PROPN
m-1155	141	88	ℒ	ℒ	PROPN
m-1155	141	89	�	�	PROPN
m-1155	141	90	�	�	PROPN
m-1155	141	91	�	�	PROPN
m-1155	141	92	�	�	PROPN
m-1155	141	93	−	−	PROPN
m-1155	141	94	�	�	PROPN
m-1155	141	95	�	�	PROPN
m-1155	141	96	�	�	PROPN
m-1155	141	97	�	�	PROPN
m-1155	141	98	�	�	PROPN
m-1155	141	99	�	�	PROPN
m-1155	141	100	�	�	PROPN
m-1155	141	101	�	�	PROPN
m-1155	141	102	�	�	PROPN
m-1155	141	103	�	�	PROPN
m-1155	141	104	�	�	PROPN
m-1155	141	105	�	�	PROPN
m-1155	141	106	−	−	PROPN
m-1155	141	107	�	�	PROPN
m-1155	141	108	�	�	PROPN
m-1155	141	109	�	�	PROPN
m-1155	141	110	−	−	PROPN
m-1155	141	111	�	�	PROPN
m-1155	141	112	�	�	PROPN
m-1155	141	113	�	�	PROPN
m-1155	141	114	�	�	PROPN
m-1155	141	115	�	�	PROPN
m-1155	141	116	�	�	PROPN
m-1155	141	117	�	�	PROPN
m-1155	141	118	�	�	PROPN
m-1155	141	119	�	�	PROPN
m-1155	141	120	�	�	PROPN
m-1155	141	121	�	�	PROPN
m-1155	141	122	�	�	PROPN
m-1155	141	123	−	−	PROPN
m-1155	141	124	�	�	PROPN
m-1155	141	125	�	�	PROPN
m-1155	141	126	�	�	PROPN
m-1155	141	127	−	−	PROPN
m-1155	141	128	(	(	PUNCT
m-1155	141	129	�	�	PROPN
m-1155	141	130	�	�	PROPN
m-1155	141	131	�	�	PROPN
m-1155	141	132	+	+	CCONJ
m-1155	141	133	�	�	PROPN
m-1155	141	134	+	+	CCONJ
m-1155	141	135	�	�	PROPN
m-1155	141	136	)	)	PUNCT
m-1155	141	137	�	�	PROPN
m-1155	141	138	�	�	PROPN
m-1155	141	139	�	�	PROPN
m-1155	141	140	�	�	PROPN
m-1155	141	141	�	�	PROPN
m-1155	141	142	(	(	PUNCT
m-1155	141	143	4.10.1	4.10.1	NUM
m-1155	141	144	)	)	PUNCT
m-1155	141	145	�	�	PROPN
m-1155	141	146	�	�	PROPN
m-1155	141	147	�	�	PROPN
m-1155	141	148	(	(	PUNCT
m-1155	141	149	�	�	PROPN
m-1155	141	150	)	)	PUNCT
m-1155	141	151	=	=	PUNCT
m-1155	141	152	ℒ	ℒ	PROPN
m-1155	141	153	�	�	PROPN
m-1155	141	154	�	�	PROPN
m-1155	141	155	�	�	PROPN
m-1155	141	156	�	�	PROPN
m-1155	141	157	+	+	CCONJ
m-1155	141	158	�	�	PROPN
m-1155	141	159	(	(	PUNCT
m-1155	141	160	1	1	NUM
m-1155	141	161	−	−	PROPN
m-1155	141	162	�	�	PROPN
m-1155	141	163	)	)	PUNCT
m-1155	141	164	�	�	PROPN
m-1155	141	165	ℒ	ℒ	PROPN
m-1155	141	166	1	1	NUM
m-1155	141	167	�	�	PROPN
m-1155	141	168	�	�	PROPN
m-1155	141	169	ℒ	ℒ	PROPN
m-1155	141	170	�	�	PROPN
m-1155	141	171	�	�	PROPN
m-1155	141	172	�	�	PROPN
m-1155	141	173	�	�	PROPN
m-1155	141	174	�	�	PROPN
m-1155	141	175	−	−	PROPN
m-1155	141	176	�	�	PROPN
m-1155	141	177	�	�	PROPN
m-1155	141	178	�	�	PROPN
m-1155	141	179	�	�	PROPN
m-1155	141	180	�	�	PROPN
m-1155	141	181	�	�	PROPN
m-1155	141	182	�	�	PROPN
m-1155	141	183	�	�	PROPN
m-1155	141	184	�	�	PROPN
m-1155	141	185	�	�	PROPN
m-1155	141	186	�	�	PROPN
m-1155	141	187	�	�	PROPN
m-1155	141	188	−	−	PROPN
m-1155	141	189	�	�	PROPN
m-1155	141	190	�	�	PROPN
m-1155	141	191	�	�	PROPN
m-1155	141	192	−	−	PROPN
m-1155	141	193	�	�	PROPN
m-1155	141	194	�	�	PROPN
m-1155	141	195	�	�	PROPN
m-1155	141	196	�	�	PROPN
m-1155	141	197	�	�	PROPN
m-1155	141	198	�	�	PROPN
m-1155	141	199	�	�	PROPN
m-1155	141	200	�	�	PROPN
m-1155	141	201	�	�	PROPN
m-1155	141	202	�	�	PROPN
m-1155	141	203	�	�	PROPN
m-1155	141	204	�	�	PROPN
m-1155	141	205	−	−	PROPN
m-1155	141	206	�	�	PROPN
m-1155	141	207	�	�	PROPN
m-1155	141	208	�	�	PROPN
m-1155	141	209	−	−	PROPN
m-1155	141	210	(	(	PUNCT
m-1155	141	211	�	�	PROPN
m-1155	141	212	�	�	PROPN
m-1155	141	213	�	�	PROPN
m-1155	141	214	+	+	CCONJ
m-1155	141	215	�	�	PROPN
m-1155	141	216	)	)	PUNCT
m-1155	141	217	�	�	PROPN
m-1155	141	218	�	�	PROPN
m-1155	141	219	�	�	PROPN
m-1155	141	220	�	�	PROPN
m-1155	141	221	�	�	PROPN
m-1155	141	222	(	(	PUNCT
m-1155	141	223	4.10.2	4.10.2	NUM
m-1155	141	224	)	)	PUNCT
m-1155	141	225	�	�	PROPN
m-1155	141	226	�	�	PROPN
m-1155	141	227	(	(	PUNCT
m-1155	141	228	�	�	PROPN
m-1155	141	229	)	)	PUNCT
m-1155	141	230	=	=	PUNCT
m-1155	141	231	ℒ	ℒ	PROPN
m-1155	141	232	�	�	PROPN
m-1155	141	233	�	�	PROPN
m-1155	141	234	�	�	PROPN
m-1155	141	235	�	�	PROPN
m-1155	141	236	+	+	CCONJ
m-1155	141	237	�	�	PROPN
m-1155	141	238	(	(	PUNCT
m-1155	141	239	1	1	NUM
m-1155	141	240	−	−	PROPN
m-1155	141	241	�	�	PROPN
m-1155	141	242	)	)	PUNCT
m-1155	141	243	�	�	PROPN
m-1155	141	244	ℒ	ℒ	PROPN
m-1155	141	245	{	{	PUNCT
m-1155	141	246	�	�	PROPN
m-1155	141	247	�	�	PROPN
m-1155	141	248	�	�	PROPN
m-1155	141	249	�	�	PROPN
m-1155	141	250	�	�	PROPN
m-1155	141	251	�	�	PROPN
m-1155	141	252	+	+	SYM
m-1155	141	253	�	�	PROPN
m-1155	141	254	�	�	PROPN
m-1155	141	255	�	�	PROPN
m-1155	141	256	�	�	PROPN
m-1155	141	257	�	�	PROPN
m-1155	141	258	�	�	PROPN
m-1155	141	259	−	−	PROPN
m-1155	141	260	(	(	PUNCT
m-1155	141	261	�	�	PROPN
m-1155	141	262	+	+	CCONJ
m-1155	141	263	�	�	PROPN
m-1155	141	264	)	)	PUNCT
m-1155	141	265	�	�	PROPN
m-1155	141	266	�	�	PROPN
m-1155	141	267	}	}	SYM
m-1155	141	268	�	�	PROPN
m-1155	141	269	(	(	PUNCT
m-1155	141	270	4.10.3	4.10.3	NUM
m-1155	141	271	)	)	PUNCT
m-1155	141	272	�	�	PROPN
m-1155	141	273	�	�	PROPN
m-1155	141	274	(	(	PUNCT
m-1155	141	275	�	�	PROPN
m-1155	141	276	)	)	PUNCT
m-1155	141	277	=	=	PUNCT
m-1155	141	278	ℒ	ℒ	PROPN
m-1155	141	279	�	�	PROPN
m-1155	141	280	�	�	PROPN
m-1155	141	281	�	�	PROPN
m-1155	141	282	�	�	PROPN
m-1155	141	283	+	+	CCONJ
m-1155	141	284	�	�	PROPN
m-1155	141	285	(	(	PUNCT
m-1155	141	286	1	1	NUM
m-1155	141	287	−	−	PROPN
m-1155	141	288	�	�	PROPN
m-1155	141	289	)	)	PUNCT
m-1155	141	290	�	�	PROPN
m-1155	141	291	ℒ	ℒ	PROPN
m-1155	141	292	�	�	PROPN
m-1155	141	293	�	�	PROPN
m-1155	141	294	�	�	PROPN
m-1155	141	295	�	�	PROPN
m-1155	141	296	�	�	PROPN
m-1155	141	297	�	�	PROPN
m-1155	141	298	�	�	PROPN
m-1155	141	299	�	�	PROPN
m-1155	141	300	�	�	PROPN
m-1155	141	301	�	�	PROPN
m-1155	141	302	�	�	PROPN
m-1155	141	303	�	�	PROPN
m-1155	141	304	�	�	PROPN
m-1155	141	305	−	−	PROPN
m-1155	141	306	�	�	PROPN
m-1155	141	307	�	�	PROPN
m-1155	141	308	�	�	PROPN
m-1155	141	309	+	+	SYM
m-1155	141	310	�	�	PROPN
m-1155	141	311	�	�	PROPN
m-1155	141	312	�	�	PROPN
m-1155	141	313	�	�	PROPN
m-1155	141	314	�	�	PROPN
m-1155	141	315	�	�	PROPN
m-1155	141	316	�	�	PROPN
m-1155	141	317	�	�	PROPN
m-1155	141	318	�	�	PROPN
m-1155	141	319	�	�	PROPN
m-1155	141	320	�	�	PROPN
m-1155	141	321	�	�	PROPN
m-1155	141	322	−	−	PROPN
m-1155	141	323	�	�	PROPN
m-1155	141	324	�	�	PROPN
m-1155	141	325	�	�	PROPN
m-1155	141	326	+	+	SYM
m-1155	141	327	�	�	PROPN
m-1155	141	328	�	�	PROPN
m-1155	141	329	�	�	PROPN
m-1155	141	330	�	�	PROPN
m-1155	141	331	�	�	PROPN
m-1155	141	332	�	�	PROPN
m-1155	141	333	�	�	PROPN
m-1155	141	334	�	�	PROPN
m-1155	141	335	�	�	PROPN
m-1155	141	336	�	�	PROPN
m-1155	141	337	�	�	PROPN
m-1155	141	338	�	�	PROPN
m-1155	141	339	−	−	PROPN
m-1155	141	340	�	�	PROPN
m-1155	141	341	�	�	PROPN
m-1155	141	342	�	�	PROPN
m-1155	141	343	+	+	SYM
m-1155	141	344	�	�	PROPN
m-1155	141	345	�	�	PROPN
m-1155	141	346	�	�	PROPN
m-1155	141	347	�	�	PROPN
m-1155	141	348	�	�	PROPN
m-1155	141	349	�	�	PROPN
m-1155	141	350	�	�	PROPN
m-1155	141	351	�	�	PROPN
m-1155	141	352	�	�	PROPN
m-1155	141	353	�	�	PROPN
m-1155	141	354	�	�	PROPN
m-1155	141	355	�	�	PROPN
m-1155	141	356	−	−	PROPN
m-1155	141	357	�	�	PROPN
m-1155	141	358	�	�	PROPN
m-1155	141	359	�	�	PROPN
m-1155	141	360	−	−	PROPN
m-1155	141	361	(	(	PUNCT
m-1155	141	362	�	�	PROPN
m-1155	141	363	�	�	PROPN
m-1155	141	364	�	�	PROPN
m-1155	141	365	+	+	SYM
m-1155	141	366	�	�	PROPN
m-1155	141	367	�	�	PROPN
m-1155	141	368	(	(	PUNCT
m-1155	141	369	1	1	NUM
m-1155	141	370	−	−	PROPN
m-1155	141	371	�	�	PROPN
m-1155	141	372	)	)	PUNCT
m-1155	141	373	+	+	NUM
m-1155	141	374	�	�	PROPN
m-1155	141	375	)	)	PUNCT
m-1155	141	376	�	�	PROPN
m-1155	141	377	�	�	PROPN
m-1155	141	378	�	�	PROPN
m-1155	141	379	�	�	PROPN
m-1155	141	380	(	(	PUNCT
m-1155	141	381	4.10.4	4.10.4	NUM
m-1155	141	382	)	)	PUNCT
m-1155	141	383	�	�	PROPN
m-1155	141	384	�	�	PROPN
m-1155	141	385	�	�	PROPN
m-1155	141	386	(	(	PUNCT
m-1155	141	387	�	�	PROPN
m-1155	141	388	)	)	PUNCT
m-1155	141	389	=	=	PUNCT
m-1155	141	390	ℒ	ℒ	PROPN
m-1155	141	391	�	�	PROPN
m-1155	141	392	�	�	PROPN
m-1155	141	393	�	�	PROPN
m-1155	141	394	�	�	PROPN
m-1155	141	395	+	+	CCONJ
m-1155	141	396	�	�	PROPN
m-1155	141	397	(	(	PUNCT
m-1155	141	398	1	1	NUM
m-1155	141	399	−	−	PROPN
m-1155	141	400	�	�	PROPN
m-1155	141	401	)	)	PUNCT
m-1155	141	402	�	�	PROPN
m-1155	141	403	ℒ	ℒ	PROPN
m-1155	141	404	{	{	PUNCT
m-1155	141	405	�	�	PROPN
m-1155	141	406	�	�	PROPN
m-1155	141	407	�	�	PROPN
m-1155	141	408	�	�	PROPN
m-1155	141	409	�	�	PROPN
m-1155	141	410	−	−	PROPN
m-1155	141	411	(	(	PUNCT
m-1155	141	412	�	�	PROPN
m-1155	141	413	�	�	PROPN
m-1155	141	414	+	+	SYM
m-1155	141	415	�	�	PROPN
m-1155	141	416	�	�	PROPN
m-1155	141	417	+	+	CCONJ
m-1155	141	418	�	�	PROPN
m-1155	141	419	+	+	CCONJ
m-1155	141	420	�	�	PROPN
m-1155	141	421	)	)	PUNCT
m-1155	141	422	�	�	PROPN
m-1155	141	423	�	�	PROPN
m-1155	141	424	�	�	PROPN
m-1155	141	425	}	}	SYM
m-1155	141	426	�	�	PROPN
m-1155	141	427	(	(	PUNCT
m-1155	141	428	4.10.5	4.10.5	NUM
m-1155	141	429	)	)	PUNCT
m-1155	141	430	�	�	PROPN
m-1155	141	431	�	�	PROPN
m-1155	141	432	�	�	PROPN
m-1155	141	433	(	(	PUNCT
m-1155	141	434	�	�	PROPN
m-1155	141	435	)	)	PUNCT
m-1155	141	436	=	=	PUNCT
m-1155	141	437	ℒ	ℒ	PROPN
m-1155	141	438	�	�	PROPN
m-1155	141	439	�	�	PROPN
m-1155	141	440	�	�	PROPN
m-1155	141	441	�	�	PROPN
m-1155	141	442	+	+	CCONJ
m-1155	141	443	�	�	PROPN
m-1155	141	444	(	(	PUNCT
m-1155	141	445	1	1	NUM
m-1155	141	446	−	−	PROPN
m-1155	141	447	�	�	PROPN
m-1155	141	448	)	)	PUNCT
m-1155	141	449	�	�	PROPN
m-1155	141	450	ℒ{	ℒ{	PROPN
m-1155	141	451	�	�	PROPN
m-1155	141	452	�	�	PROPN
m-1155	141	453	(1	(1	PUNCT
m-1155	141	454	−	−	PROPN
m-1155	141	455	�	�	SYM
m-1155	141	456	)	)	PUNCT
m-1155	141	457	�	�	PROPN
m-1155	141	458	�	�	PROPN
m-1155	141	459	−	−	PROPN
m-1155	141	460	(	(	PUNCT
m-1155	141	461	�	�	PROPN
m-1155	141	462	�	�	PROPN
m-1155	141	463	+	+	SYM
m-1155	141	464	�	�	PROPN
m-1155	141	465	�	�	PROPN
m-1155	141	466	+	+	CCONJ
m-1155	141	467	�	�	PROPN
m-1155	141	468	+	+	CCONJ
m-1155	141	469	�	�	PROPN
m-1155	141	470	)	)	PUNCT
m-1155	141	471	�	�	PROPN
m-1155	141	472	�	�	PROPN
m-1155	141	473	�	�	PROPN
m-1155	141	474	}	}	SYM
m-1155	141	475	�	�	PROPN
m-1155	141	476	(	(	PUNCT
m-1155	141	477	4.10.6	4.10.6	NUM
m-1155	141	478	)	)	PUNCT
m-1155	141	479	�	�	PROPN
m-1155	141	480	�	�	PROPN
m-1155	141	481	�	�	PROPN
m-1155	141	482	(	(	PUNCT
m-1155	141	483	�	�	PROPN
m-1155	141	484	)	)	PUNCT
m-1155	141	485	=	=	PUNCT
m-1155	141	486	ℒ	ℒ	PROPN
m-1155	141	487	�	�	PROPN
m-1155	141	488	�	�	PROPN
m-1155	141	489	�	�	PROPN
m-1155	141	490	�	�	PROPN
m-1155	141	491	+	+	CCONJ
m-1155	141	492	�	�	PROPN
m-1155	141	493	(	(	PUNCT
m-1155	141	494	1	1	NUM
m-1155	141	495	−	−	PROPN
m-1155	141	496	�	�	PROPN
m-1155	141	497	)	)	PUNCT
m-1155	141	498	�	�	PROPN
m-1155	141	499	ℒ	ℒ	PROPN
m-1155	141	500	{	{	PUNCT
m-1155	141	501	�	�	PROPN
m-1155	141	502	�	�	PROPN
m-1155	141	503	�	�	PROPN
m-1155	141	504	�	�	PROPN
m-1155	141	505	�	�	PROPN
m-1155	141	506	+	+	SYM
m-1155	141	507	�	�	PROPN
m-1155	141	508	�	�	PROPN
m-1155	141	509	�	�	PROPN
m-1155	141	510	�	�	PROPN
m-1155	141	511	�	�	PROPN
m-1155	141	512	−	−	PROPN
m-1155	141	513	(	(	PUNCT
m-1155	141	514	�	�	PROPN
m-1155	141	515	�	�	PROPN
m-1155	141	516	+	+	CCONJ
m-1155	141	517	�	�	PROPN
m-1155	141	518	+	+	CCONJ
m-1155	141	519	�	�	PROPN
m-1155	141	520	)	)	PUNCT
m-1155	141	521	�	�	PROPN
m-1155	141	522	�	�	PROPN
m-1155	141	523	�	�	PROPN
m-1155	141	524	}	}	SYM
m-1155	141	525	�	�	PROPN
m-1155	141	526	(	(	PUNCT
m-1155	141	527	4.10.7	4.10.7	NUM
m-1155	141	528	)	)	PUNCT
m-1155	141	529	�	�	PROPN
m-1155	141	530	�	�	PROPN
m-1155	141	531	(	(	PUNCT
m-1155	141	532	�	�	PROPN
m-1155	141	533	)	)	PUNCT
m-1155	141	534	=	=	PUNCT
m-1155	141	535	ℒ	ℒ	PROPN
m-1155	141	536	�	�	PROPN
m-1155	141	537	�	�	PROPN
m-1155	141	538	�	�	PROPN
m-1155	141	539	�	�	PROPN
m-1155	141	540	+	+	CCONJ
m-1155	141	541	�	�	PROPN
m-1155	141	542	(	(	PUNCT
m-1155	141	543	1	1	NUM
m-1155	141	544	−	−	PROPN
m-1155	141	545	�	�	PROPN
m-1155	141	546	)	)	PUNCT
m-1155	141	547	�	�	PROPN
m-1155	141	548	ℒ	ℒ	PROPN
m-1155	141	549	{	{	PUNCT
m-1155	141	550	�	�	PROPN
m-1155	141	551	�	�	PROPN
m-1155	141	552	�	�	PROPN
m-1155	141	553	�	�	PROPN
m-1155	141	554	�	�	PROPN
m-1155	141	555	+	+	SYM
m-1155	141	556	�	�	PROPN
m-1155	141	557	�	�	PROPN
m-1155	141	558	�	�	PROPN
m-1155	141	559	�	�	PROPN
m-1155	141	560	�	�	PROPN
m-1155	141	561	+	+	SYM
m-1155	141	562	�	�	PROPN
m-1155	141	563	�	�	PROPN
m-1155	141	564	�	�	PROPN
m-1155	141	565	�	�	PROPN
m-1155	141	566	�	�	PROPN
m-1155	141	567	−	−	PROPN
m-1155	141	568	�	�	PROPN
m-1155	141	569	�	�	PROPN
m-1155	141	570	�	�	PROPN
m-1155	141	571	}	}	SYM
m-1155	141	572	�	�	PROPN
m-1155	141	573	(	(	PUNCT
m-1155	141	574	4.10	4.10	NUM
m-1155	141	575	.	.	PUNCT
m-1155	141	576	8)	8)	NUM
m-1155	141	577	applying	apply	VERB
m-1155	141	578	the	the	DET
m-1155	141	579	inverse	inverse	ADJ
m-1155	141	580	laplace	laplace	NOUN
m-1155	141	581	transform	transform	NOUN
m-1155	141	582	,	,	PUNCT
m-1155	141	583	we	we	PRON
m-1155	141	584	obtain	obtain	VERB
m-1155	141	585	�	�	PROPN
m-1155	141	586	�	�	PROPN
m-1155	141	587	�	�	PROPN
m-1155	141	588	(	(	PUNCT
m-1155	141	589	�	�	PROPN
m-1155	141	590	)	)	PUNCT
m-1155	141	591	=	=	PUNCT
m-1155	141	592	ℒ	ℒ	PROPN
m-1155	141	593	�	�	PROPN
m-1155	141	594	�	�	PROPN
m-1155	141	595	�	�	PROPN
m-1155	141	596	�	�	PROPN
m-1155	141	597	+	+	CCONJ
m-1155	141	598	�	�	PROPN
m-1155	141	599	(	(	PUNCT
m-1155	141	600	1	1	NUM
m-1155	141	601	−	−	PROPN
m-1155	141	602	�	�	PROPN
m-1155	141	603	)	)	PUNCT
m-1155	141	604	�	�	PROPN
m-1155	141	605	ℒ	ℒ	PROPN
m-1155	141	606	�	�	PROPN
m-1155	141	607	�	�	PROPN
m-1155	141	608	�	�	PROPN
m-1155	141	609	�	�	PROPN
m-1155	141	610	−	−	PROPN
m-1155	141	611	�	�	PROPN
m-1155	141	612	�	�	PROPN
m-1155	141	613	�	�	PROPN
m-1155	141	614	�	�	PROPN
m-1155	141	615	�	�	PROPN
m-1155	141	616	�	�	PROPN
m-1155	141	617	�	�	PROPN
m-1155	141	618	�	�	PROPN
m-1155	141	619	�	�	PROPN
m-1155	141	620	�	�	PROPN
m-1155	141	621	�	�	PROPN
m-1155	141	622	�	�	PROPN
m-1155	141	623	−	−	PROPN
m-1155	141	624	�	�	PROPN
m-1155	141	625	�	�	PROPN
m-1155	141	626	�	�	PROPN
m-1155	141	627	−	−	PROPN
m-1155	141	628	�	�	PROPN
m-1155	141	629	�	�	PROPN
m-1155	141	630	�	�	PROPN
m-1155	141	631	�	�	PROPN
m-1155	141	632	�	�	PROPN
m-1155	141	633	�	�	PROPN
m-1155	141	634	�	�	PROPN
m-1155	141	635	�	�	PROPN
m-1155	141	636	�	�	PROPN
m-1155	141	637	�	�	PROPN
m-1155	141	638	�	�	PROPN
m-1155	141	639	�	�	PROPN
m-1155	141	640	−	−	PROPN
m-1155	141	641	�	�	PROPN
m-1155	141	642	�	�	PROPN
m-1155	141	643	�	�	PROPN
m-1155	141	644	−	−	PROPN
m-1155	141	645	(	(	PUNCT
m-1155	141	646	�	�	PROPN
m-1155	141	647	�	�	PROPN
m-1155	141	648	�	�	PROPN
m-1155	141	649	+	+	CCONJ
m-1155	141	650	�	�	PROPN
m-1155	141	651	+	+	CCONJ
m-1155	141	652	�	�	PROPN
m-1155	141	653	)	)	PUNCT
m-1155	141	654	�	�	PROPN
m-1155	141	655	�	�	PROPN
m-1155	141	656	�	�	PROPN
m-1155	141	657	�	�	PROPN
m-1155	141	658	�	�	PROPN
m-1155	141	659	(	(	PUNCT
m-1155	141	660	4.10.1	4.10.1	NUM
m-1155	141	661	)	)	PUNCT
m-1155	141	662	ijo	ijo	PROPN
m-1155	141	663	journals	journal	NOUN
m-1155	141	664	volume	volume	NOUN
m-1155	141	665	08	08	NUM
m-1155	142	1	|	|	ADV
m-1155	142	2	issue	issue	NOUN
m-1155	142	3	09	09	NUM
m-1155	142	4	|	|	ADV
m-1155	142	5	september	september	PROPN
m-1155	142	6	2025	2025	NUM
m-1155	142	7	|	|	ADV
m-1155	142	8	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-1155	142	9	58	58	NUM
m-1155	142	10	ijo	ijo	PROPN
m-1155	142	11	international	international	PROPN
m-1155	142	12	journal	journal	PROPN
m-1155	142	13	of	of	ADP
m-1155	142	14	mathematics	mathematics	PROPN
m-1155	142	15	(	(	PUNCT
m-1155	142	16	issn	issn	PROPN
m-1155	142	17	:	:	PUNCT
m-1155	142	18	2992	2992	NUM
m-1155	142	19	-	-	SYM
m-1155	142	20	4421	4421	NUM
m-1155	142	21	)	)	PUNCT
m-1155	142	22	thomas	thomas	PROPN
m-1155	142	23	,	,	PUNCT
m-1155	143	1	henry	henry	PROPN
m-1155	143	2	sylvester	sylvester	PROPN
m-1155	143	3	*	*	PUNCT
m-1155	143	4	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-1155	143	5	volume	volume	NOUN
m-1155	143	6	08	08	NUM
m-1155	143	7	||	||	PROPN
m-1155	143	8	issue	issue	NOUN
m-1155	143	9	09	09	NUM
m-1155	143	10	||	||	NOUN
m-1155	143	11	september	september	PROPN
m-1155	143	12	,	,	PUNCT
m-1155	143	13	2025	2025	NUM
m-1155	143	14	||	||	PUNCT
m-1155	144	1	“	"	PUNCT
m-1155	144	2	caputo	caputo	PROPN
m-1155	144	3	-	-	PUNCT
m-1155	144	4	fabrizio	fabrizio	PROPN
m-1155	144	5	fractional	fractional	ADJ
m-1155	144	6	drivatives	drivative	NOUN
m-1155	144	7	of	of	ADP
m-1155	144	8	age	age	NOUN
m-1155	144	9	-	-	PUNCT
m-1155	144	10	structured	structure	VERB
m-1155	144	11	dipptheria	dipptheria	NOUN
m-1155	144	12	infection	infection	NOUN
m-1155	144	13	model	model	NOUN
m-1155	144	14	with	with	ADP
m-1155	144	15	laplace	laplace	NOUN
m-1155	144	16	adomian	adomian	NOUN
m-1155	144	17	decomposition	decomposition	NOUN
m-1155	144	18	analysis	analysis	NOUN
m-1155	144	19	"	"	PUNCT
m-1155	144	20	�	�	PROPN
m-1155	144	21	�	�	PROPN
m-1155	144	22	�	�	PROPN
m-1155	144	23	(	(	PUNCT
m-1155	144	24	�	�	PROPN
m-1155	144	25	)	)	PUNCT
m-1155	144	26	=	=	PUNCT
m-1155	144	27	ℒ	ℒ	PROPN
m-1155	144	28	�	�	PROPN
m-1155	144	29	�	�	PROPN
m-1155	144	30	�	�	PROPN
m-1155	144	31	�	�	PROPN
m-1155	144	32	+	+	CCONJ
m-1155	144	33	�	�	PROPN
m-1155	144	34	(	(	PUNCT
m-1155	144	35	1	1	NUM
m-1155	144	36	−	−	PROPN
m-1155	144	37	�	�	PROPN
m-1155	144	38	)	)	PUNCT
m-1155	144	39	�	�	PROPN
m-1155	144	40	ℒ	ℒ	PROPN
m-1155	144	41	1	1	NUM
m-1155	144	42	�	�	PROPN
m-1155	144	43	�	�	PROPN
m-1155	144	44	ℒ	ℒ	PROPN
m-1155	144	45	�	�	PROPN
m-1155	144	46	�	�	PROPN
m-1155	144	47	�	�	PROPN
m-1155	144	48	�	�	PROPN
m-1155	144	49	�	�	PROPN
m-1155	144	50	−	−	PROPN
m-1155	144	51	�	�	PROPN
m-1155	144	52	�	�	PROPN
m-1155	144	53	�	�	PROPN
m-1155	144	54	�	�	PROPN
m-1155	144	55	�	�	PROPN
m-1155	144	56	�	�	PROPN
m-1155	144	57	�	�	PROPN
m-1155	144	58	�	�	PROPN
m-1155	144	59	�	�	PROPN
m-1155	144	60	�	�	PROPN
m-1155	144	61	�	�	PROPN
m-1155	144	62	�	�	PROPN
m-1155	144	63	−	−	PROPN
m-1155	144	64	�	�	PROPN
m-1155	144	65	�	�	PROPN
m-1155	144	66	�	�	PROPN
m-1155	144	67	−	−	PROPN
m-1155	144	68	�	�	PROPN
m-1155	144	69	�	�	PROPN
m-1155	144	70	�	�	PROPN
m-1155	144	71	�	�	PROPN
m-1155	144	72	�	�	PROPN
m-1155	144	73	�	�	PROPN
m-1155	144	74	�	�	PROPN
m-1155	144	75	�	�	PROPN
m-1155	144	76	�	�	PROPN
m-1155	144	77	�	�	PROPN
m-1155	144	78	�	�	PROPN
m-1155	144	79	�	�	PROPN
m-1155	144	80	−	−	PROPN
m-1155	144	81	�	�	PROPN
m-1155	144	82	�	�	PROPN
m-1155	144	83	�	�	PROPN
m-1155	144	84	−	−	PROPN
m-1155	144	85	(	(	PUNCT
m-1155	144	86	�	�	PROPN
m-1155	144	87	�	�	PROPN
m-1155	144	88	�	�	PROPN
m-1155	144	89	+	+	CCONJ
m-1155	144	90	�	�	PROPN
m-1155	144	91	)	)	PUNCT
m-1155	144	92	�	�	PROPN
m-1155	144	93	�	�	PROPN
m-1155	144	94	�	�	PROPN
m-1155	144	95	�	�	PROPN
m-1155	144	96	�	�	PROPN
m-1155	144	97	(	(	PUNCT
m-1155	144	98	4.10.2	4.10.2	NUM
m-1155	144	99	)	)	PUNCT
m-1155	144	100	�	�	PROPN
m-1155	144	101	�	�	PROPN
m-1155	144	102	(	(	PUNCT
m-1155	144	103	�	�	PROPN
m-1155	144	104	)	)	PUNCT
m-1155	144	105	=	=	PUNCT
m-1155	144	106	ℒ	ℒ	PROPN
m-1155	144	107	�	�	PROPN
m-1155	144	108	�	�	PROPN
m-1155	144	109	�	�	PROPN
m-1155	144	110	�	�	PROPN
m-1155	144	111	+	+	CCONJ
m-1155	144	112	�	�	PROPN
m-1155	144	113	(	(	PUNCT
m-1155	144	114	1	1	NUM
m-1155	144	115	−	−	PROPN
m-1155	144	116	�	�	PROPN
m-1155	144	117	)	)	PUNCT
m-1155	144	118	�	�	PROPN
m-1155	144	119	ℒ	ℒ	PROPN
m-1155	144	120	{	{	PUNCT
m-1155	144	121	�	�	PROPN
m-1155	144	122	�	�	PROPN
m-1155	144	123	�	�	PROPN
m-1155	144	124	�	�	PROPN
m-1155	144	125	�	�	PROPN
m-1155	144	126	�	�	PROPN
m-1155	144	127	+	+	SYM
m-1155	144	128	�	�	PROPN
m-1155	144	129	�	�	PROPN
m-1155	144	130	�	�	PROPN
m-1155	144	131	�	�	PROPN
m-1155	144	132	�	�	PROPN
m-1155	144	133	�	�	PROPN
m-1155	144	134	−	−	PROPN
m-1155	144	135	(	(	PUNCT
m-1155	144	136	�	�	PROPN
m-1155	144	137	+	+	CCONJ
m-1155	144	138	�	�	PROPN
m-1155	144	139	)	)	PUNCT
m-1155	144	140	�	�	PROPN
m-1155	144	141	�	�	PROPN
m-1155	144	142	}	}	SYM
m-1155	144	143	�	�	PROPN
m-1155	144	144	(	(	PUNCT
m-1155	144	145	4.10.3	4.10.3	NUM
m-1155	144	146	)	)	PUNCT
m-1155	144	147	�	�	PROPN
m-1155	144	148	�	�	PROPN
m-1155	144	149	(	(	PUNCT
m-1155	144	150	�	�	PROPN
m-1155	144	151	)	)	PUNCT
m-1155	144	152	=	=	PUNCT
m-1155	144	153	ℒ	ℒ	PROPN
m-1155	144	154	�	�	PROPN
m-1155	144	155	�	�	PROPN
m-1155	144	156	�	�	PROPN
m-1155	144	157	�	�	PROPN
m-1155	144	158	+	+	CCONJ
m-1155	144	159	�	�	PROPN
m-1155	144	160	(	(	PUNCT
m-1155	144	161	1	1	NUM
m-1155	144	162	−	−	PROPN
m-1155	144	163	�	�	PROPN
m-1155	144	164	)	)	PUNCT
m-1155	144	165	�	�	PROPN
m-1155	144	166	ℒ	ℒ	PROPN
m-1155	144	167	�	�	PROPN
m-1155	144	168	�	�	PROPN
m-1155	144	169	�	�	PROPN
m-1155	144	170	�	�	PROPN
m-1155	144	171	�	�	PROPN
m-1155	144	172	�	�	PROPN
m-1155	144	173	�	�	PROPN
m-1155	144	174	�	�	PROPN
m-1155	144	175	�	�	PROPN
m-1155	144	176	�	�	PROPN
m-1155	144	177	�	�	PROPN
m-1155	144	178	�	�	PROPN
m-1155	144	179	�	�	PROPN
m-1155	144	180	−	−	PROPN
m-1155	144	181	�	�	PROPN
m-1155	144	182	�	�	PROPN
m-1155	144	183	�	�	PROPN
m-1155	144	184	+	+	SYM
m-1155	144	185	�	�	PROPN
m-1155	144	186	�	�	PROPN
m-1155	144	187	�	�	PROPN
m-1155	144	188	�	�	PROPN
m-1155	144	189	�	�	PROPN
m-1155	144	190	�	�	PROPN
m-1155	144	191	�	�	PROPN
m-1155	144	192	�	�	PROPN
m-1155	144	193	�	�	PROPN
m-1155	144	194	�	�	PROPN
m-1155	144	195	�	�	PROPN
m-1155	144	196	�	�	PROPN
m-1155	144	197	−	−	PROPN
m-1155	144	198	�	�	PROPN
m-1155	144	199	�	�	PROPN
m-1155	144	200	�	�	PROPN
m-1155	144	201	+	+	SYM
m-1155	144	202	�	�	PROPN
m-1155	144	203	�	�	PROPN
m-1155	144	204	�	�	PROPN
m-1155	144	205	�	�	PROPN
m-1155	144	206	�	�	PROPN
m-1155	144	207	�	�	PROPN
m-1155	144	208	�	�	PROPN
m-1155	144	209	�	�	PROPN
m-1155	144	210	�	�	PROPN
m-1155	144	211	�	�	PROPN
m-1155	144	212	�	�	PROPN
m-1155	144	213	�	�	PROPN
m-1155	144	214	−	−	PROPN
m-1155	144	215	�	�	PROPN
m-1155	144	216	�	�	PROPN
m-1155	144	217	�	�	PROPN
m-1155	144	218	+	+	SYM
m-1155	144	219	�	�	PROPN
m-1155	144	220	�	�	PROPN
m-1155	144	221	�	�	PROPN
m-1155	144	222	�	�	PROPN
m-1155	144	223	�	�	PROPN
m-1155	144	224	�	�	PROPN
m-1155	144	225	�	�	PROPN
m-1155	144	226	�	�	PROPN
m-1155	144	227	�	�	PROPN
m-1155	144	228	�	�	PROPN
m-1155	144	229	�	�	PROPN
m-1155	144	230	�	�	PROPN
m-1155	144	231	−	−	PROPN
m-1155	144	232	�	�	PROPN
m-1155	144	233	�	�	PROPN
m-1155	144	234	�	�	PROPN
m-1155	144	235	−	−	PROPN
m-1155	144	236	(	(	PUNCT
m-1155	144	237	�	�	PROPN
m-1155	144	238	�	�	PROPN
m-1155	144	239	�	�	PROPN
m-1155	144	240	+	+	SYM
m-1155	144	241	�	�	PROPN
m-1155	144	242	�	�	PROPN
m-1155	144	243	(	(	PUNCT
m-1155	144	244	1	1	NUM
m-1155	144	245	−	−	PROPN
m-1155	144	246	�	�	PROPN
m-1155	144	247	)	)	PUNCT
m-1155	144	248	+	+	NUM
m-1155	144	249	�	�	PROPN
m-1155	144	250	)	)	PUNCT
m-1155	144	251	�	�	PROPN
m-1155	144	252	�	�	PROPN
m-1155	144	253	�	�	PROPN
m-1155	144	254	�	�	PROPN
m-1155	144	255	(	(	PUNCT
m-1155	144	256	4.10.4	4.10.4	NUM
m-1155	144	257	)	)	PUNCT
m-1155	144	258	�	�	PROPN
m-1155	144	259	�	�	PROPN
m-1155	144	260	�	�	PROPN
m-1155	144	261	(	(	PUNCT
m-1155	144	262	�	�	PROPN
m-1155	144	263	)	)	PUNCT
m-1155	144	264	=	=	PUNCT
m-1155	144	265	ℒ	ℒ	PROPN
m-1155	144	266	�	�	PROPN
m-1155	144	267	�	�	PROPN
m-1155	144	268	�	�	PROPN
m-1155	144	269	�	�	PROPN
m-1155	144	270	+	+	CCONJ
m-1155	144	271	�	�	PROPN
m-1155	144	272	(	(	PUNCT
m-1155	144	273	1	1	NUM
m-1155	144	274	−	−	PROPN
m-1155	144	275	�	�	PROPN
m-1155	144	276	)	)	PUNCT
m-1155	144	277	�	�	PROPN
m-1155	144	278	ℒ	ℒ	PROPN
m-1155	144	279	{	{	PUNCT
m-1155	144	280	�	�	PROPN
m-1155	144	281	�	�	PROPN
m-1155	144	282	�	�	PROPN
m-1155	144	283	�	�	PROPN
m-1155	144	284	�	�	PROPN
m-1155	144	285	−	−	PROPN
m-1155	144	286	(	(	PUNCT
m-1155	144	287	�	�	PROPN
m-1155	144	288	�	�	PROPN
m-1155	144	289	+	+	SYM
m-1155	144	290	�	�	PROPN
m-1155	144	291	�	�	PROPN
m-1155	144	292	+	+	CCONJ
m-1155	144	293	�	�	PROPN
m-1155	144	294	+	+	CCONJ
m-1155	144	295	�	�	PROPN
m-1155	144	296	)	)	PUNCT
m-1155	144	297	�	�	PROPN
m-1155	144	298	�	�	PROPN
m-1155	144	299	�	�	PROPN
m-1155	144	300	}	}	SYM
m-1155	144	301	�	�	PROPN
m-1155	144	302	(	(	PUNCT
m-1155	144	303	4.10.5	4.10.5	NUM
m-1155	144	304	)	)	PUNCT
m-1155	144	305	�	�	PROPN
m-1155	144	306	�	�	PROPN
m-1155	144	307	�	�	PROPN
m-1155	144	308	(	(	PUNCT
m-1155	144	309	�	�	PROPN
m-1155	144	310	)	)	PUNCT
m-1155	144	311	=	=	PUNCT
m-1155	144	312	ℒ	ℒ	PROPN
m-1155	144	313	�	�	PROPN
m-1155	144	314	�	�	PROPN
m-1155	144	315	�	�	PROPN
m-1155	144	316	�	�	PROPN
m-1155	144	317	+	+	CCONJ
m-1155	144	318	�	�	PROPN
m-1155	144	319	(	(	PUNCT
m-1155	144	320	1	1	NUM
m-1155	144	321	−	−	PROPN
m-1155	144	322	�	�	PROPN
m-1155	144	323	)	)	PUNCT
m-1155	144	324	�	�	PROPN
m-1155	144	325	ℒ{	ℒ{	PROPN
m-1155	144	326	�	�	PROPN
m-1155	144	327	�	�	PROPN
m-1155	144	328	(1	(1	PUNCT
m-1155	144	329	−	−	PROPN
m-1155	144	330	�	�	SYM
m-1155	144	331	)	)	PUNCT
m-1155	144	332	�	�	PROPN
m-1155	144	333	�	�	PROPN
m-1155	144	334	−	−	PROPN
m-1155	144	335	(	(	PUNCT
m-1155	144	336	�	�	PROPN
m-1155	144	337	�	�	PROPN
m-1155	144	338	+	+	SYM
m-1155	144	339	�	�	PROPN
m-1155	144	340	�	�	PROPN
m-1155	144	341	+	+	CCONJ
m-1155	144	342	�	�	PROPN
m-1155	144	343	+	+	CCONJ
m-1155	144	344	�	�	PROPN
m-1155	144	345	)	)	PUNCT
m-1155	144	346	�	�	PROPN
m-1155	144	347	�	�	PROPN
m-1155	144	348	�	�	PROPN
m-1155	144	349	}	}	SYM
m-1155	144	350	�	�	PROPN
m-1155	144	351	(	(	PUNCT
m-1155	144	352	4.10.6	4.10.6	NUM
m-1155	144	353	)	)	PUNCT
m-1155	144	354	�	�	PROPN
m-1155	144	355	�	�	PROPN
m-1155	144	356	�	�	PROPN
m-1155	144	357	(	(	PUNCT
m-1155	144	358	�	�	PROPN
m-1155	144	359	)	)	PUNCT
m-1155	144	360	=	=	PUNCT
m-1155	144	361	ℒ	ℒ	PROPN
m-1155	144	362	�	�	PROPN
m-1155	144	363	�	�	PROPN
m-1155	144	364	�	�	PROPN
m-1155	144	365	�	�	PROPN
m-1155	144	366	+	+	CCONJ
m-1155	144	367	�	�	PROPN
m-1155	144	368	(	(	PUNCT
m-1155	144	369	1	1	NUM
m-1155	144	370	−	−	PROPN
m-1155	144	371	�	�	PROPN
m-1155	144	372	)	)	PUNCT
m-1155	144	373	�	�	PROPN
m-1155	144	374	ℒ	ℒ	PROPN
m-1155	144	375	{	{	PUNCT
m-1155	144	376	�	�	PROPN
m-1155	144	377	�	�	PROPN
m-1155	144	378	�	�	PROPN
m-1155	144	379	�	�	PROPN
m-1155	144	380	�	�	PROPN
m-1155	144	381	+	+	SYM
m-1155	144	382	�	�	PROPN
m-1155	144	383	�	�	PROPN
m-1155	144	384	�	�	PROPN
m-1155	144	385	�	�	PROPN
m-1155	144	386	�	�	PROPN
m-1155	144	387	−	−	PROPN
m-1155	144	388	(	(	PUNCT
m-1155	144	389	�	�	PROPN
m-1155	144	390	�	�	PROPN
m-1155	144	391	+	+	CCONJ
m-1155	144	392	�	�	PROPN
m-1155	144	393	+	+	CCONJ
m-1155	144	394	�	�	PROPN
m-1155	144	395	)	)	PUNCT
m-1155	144	396	�	�	PROPN
m-1155	144	397	�	�	PROPN
m-1155	144	398	�	�	PROPN
m-1155	144	399	}	}	SYM
m-1155	144	400	�	�	PROPN
m-1155	144	401	(	(	PUNCT
m-1155	144	402	4.10.7	4.10.7	NUM
m-1155	144	403	)	)	PUNCT
m-1155	144	404	�	�	PROPN
m-1155	144	405	�	�	PROPN
m-1155	144	406	(	(	PUNCT
m-1155	144	407	�	�	PROPN
m-1155	144	408	)	)	PUNCT
m-1155	144	409	=	=	PUNCT
m-1155	144	410	ℒ	ℒ	PROPN
m-1155	144	411	�	�	PROPN
m-1155	144	412	�	�	PROPN
m-1155	144	413	�	�	PROPN
m-1155	144	414	�	�	PROPN
m-1155	144	415	+	+	CCONJ
m-1155	144	416	�	�	PROPN
m-1155	144	417	(	(	PUNCT
m-1155	144	418	1	1	NUM
m-1155	144	419	−	−	PROPN
m-1155	144	420	�	�	PROPN
m-1155	144	421	)	)	PUNCT
m-1155	144	422	�	�	PROPN
m-1155	144	423	ℒ	ℒ	PROPN
m-1155	144	424	{	{	PUNCT
m-1155	144	425	�	�	PROPN
m-1155	144	426	�	�	PROPN
m-1155	144	427	�	�	PROPN
m-1155	144	428	�	�	PROPN
m-1155	144	429	�	�	PROPN
m-1155	144	430	+	+	SYM
m-1155	144	431	�	�	PROPN
m-1155	144	432	�	�	PROPN
m-1155	144	433	�	�	PROPN
m-1155	144	434	�	�	PROPN
m-1155	144	435	�	�	PROPN
m-1155	144	436	+	+	SYM
m-1155	144	437	�	�	PROPN
m-1155	144	438	�	�	PROPN
m-1155	144	439	�	�	PROPN
m-1155	144	440	�	�	PROPN
m-1155	144	441	�	�	PROPN
m-1155	144	442	−	−	PROPN
m-1155	144	443	�	�	PROPN
m-1155	144	444	�	�	PROPN
m-1155	144	445	�	�	PROPN
m-1155	144	446	}	}	SYM
m-1155	144	447	�	�	PROPN
m-1155	144	448	(	(	PUNCT
m-1155	144	449	4.10	4.10	NUM
m-1155	144	450	.	.	NOUN
m-1155	144	451	8)	8)	NUM
m-1155	144	452	�	�	PROPN
m-1155	144	453	�	�	PROPN
m-1155	144	454	�	�	PROPN
m-1155	144	455	(	(	PUNCT
m-1155	144	456	�	�	PROPN
m-1155	144	457	)	)	PUNCT
m-1155	144	458	=	=	SYM
m-1155	144	459	�	�	PROPN
m-1155	144	460	�	�	PROPN
m-1155	144	461	�	�	PROPN
m-1155	144	462	�	�	PROPN
m-1155	144	463	−	−	PROPN
m-1155	144	464	�	�	PROPN
m-1155	144	465	�	�	PROPN
m-1155	144	466	�	�	PROPN
m-1155	144	467	�	�	PROPN
m-1155	144	468	�	�	PROPN
m-1155	144	469	�	�	PROPN
m-1155	144	470	�	�	PROPN
m-1155	144	471	�	�	PROPN
m-1155	144	472	�	�	PROPN
m-1155	144	473	�	�	PROPN
m-1155	144	474	�	�	PROPN
m-1155	144	475	�	�	PROPN
m-1155	144	476	−	−	PROPN
m-1155	144	477	�	�	PROPN
m-1155	144	478	�	�	PROPN
m-1155	144	479	�	�	PROPN
m-1155	144	480	−	−	PROPN
m-1155	144	481	�	�	PROPN
m-1155	144	482	�	�	PROPN
m-1155	144	483	�	�	PROPN
m-1155	144	484	�	�	PROPN
m-1155	144	485	�	�	PROPN
m-1155	144	486	�	�	PROPN
m-1155	144	487	�	�	PROPN
m-1155	144	488	�	�	PROPN
m-1155	144	489	�	�	PROPN
m-1155	144	490	�	�	PROPN
m-1155	144	491	�	�	PROPN
m-1155	144	492	�	�	PROPN
m-1155	144	493	−	−	PROPN
m-1155	144	494	�	�	PROPN
m-1155	144	495	�	�	PROPN
m-1155	144	496	�	�	PROPN
m-1155	144	497	−	−	PROPN
m-1155	144	498	(	(	PUNCT
m-1155	144	499	�	�	PROPN
m-1155	144	500	�	�	PROPN
m-1155	144	501	�	�	PROPN
m-1155	144	502	+	+	CCONJ
m-1155	144	503	�	�	PROPN
m-1155	144	504	+	+	CCONJ
m-1155	144	505	�	�	PROPN
m-1155	144	506	)	)	PUNCT
m-1155	144	507	�	�	PROPN
m-1155	144	508	�	�	PROPN
m-1155	144	509	�	�	PROPN
m-1155	144	510	�	�	PROPN
m-1155	144	511	{	{	PUNCT
m-1155	144	512	1	1	NUM
m-1155	144	513	+	+	NUM
m-1155	144	514	�	�	PROPN
m-1155	144	515	(	(	PUNCT
m-1155	144	516	�	�	PROPN
m-1155	144	517	−	−	PROPN
m-1155	144	518	1	1	NUM
m-1155	144	519	)	)	PUNCT
m-1155	144	520	}	}	PUNCT
m-1155	144	521	(	(	PUNCT
m-1155	144	522	4.11.1	4.11.1	NUM
m-1155	144	523	)	)	PUNCT
m-1155	144	524	�	�	PROPN
m-1155	144	525	�	�	PROPN
m-1155	144	526	�	�	PROPN
m-1155	144	527	(	(	PUNCT
m-1155	144	528	�	�	PROPN
m-1155	144	529	)	)	PUNCT
m-1155	144	530	=	=	SYM
m-1155	144	531	�	�	PROPN
m-1155	144	532	�	�	PROPN
m-1155	144	533	�	�	PROPN
m-1155	144	534	�	�	PROPN
m-1155	144	535	�	�	PROPN
m-1155	144	536	−	−	PROPN
m-1155	144	537	�	�	PROPN
m-1155	144	538	�	�	PROPN
m-1155	144	539	�	�	PROPN
m-1155	144	540	�	�	PROPN
m-1155	144	541	�	�	PROPN
m-1155	144	542	�	�	PROPN
m-1155	144	543	�	�	PROPN
m-1155	144	544	�	�	PROPN
m-1155	144	545	�	�	PROPN
m-1155	144	546	�	�	PROPN
m-1155	144	547	�	�	PROPN
m-1155	144	548	�	�	PROPN
m-1155	144	549	−	−	PROPN
m-1155	144	550	�	�	PROPN
m-1155	144	551	�	�	PROPN
m-1155	144	552	�	�	PROPN
m-1155	144	553	−	−	PROPN
m-1155	144	554	�	�	PROPN
m-1155	144	555	�	�	PROPN
m-1155	144	556	�	�	PROPN
m-1155	144	557	�	�	PROPN
m-1155	144	558	�	�	PROPN
m-1155	144	559	�	�	PROPN
m-1155	144	560	�	�	PROPN
m-1155	144	561	�	�	PROPN
m-1155	144	562	�	�	PROPN
m-1155	144	563	�	�	PROPN
m-1155	144	564	�	�	PROPN
m-1155	144	565	�	�	PROPN
m-1155	144	566	−	−	PROPN
m-1155	144	567	�	�	PROPN
m-1155	144	568	�	�	PROPN
m-1155	144	569	�	�	PROPN
m-1155	144	570	−	−	PROPN
m-1155	144	571	(	(	PUNCT
m-1155	144	572	�	�	PROPN
m-1155	144	573	�	�	PROPN
m-1155	144	574	�	�	PROPN
m-1155	144	575	+	+	CCONJ
m-1155	144	576	�	�	PROPN
m-1155	144	577	)	)	PUNCT
m-1155	144	578	�	�	PROPN
m-1155	144	579	�	�	PROPN
m-1155	144	580	�	�	PROPN
m-1155	144	581	�	�	PROPN
m-1155	144	582	{	{	PUNCT
m-1155	144	583	1	1	NUM
m-1155	144	584	+	+	NUM
m-1155	144	585	�	�	PROPN
m-1155	144	586	(	(	PUNCT
m-1155	144	587	�	�	PROPN
m-1155	144	588	−	−	PROPN
m-1155	144	589	1	1	NUM
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m-1155	144	591	}	}	PUNCT
m-1155	144	592	(	(	PUNCT
m-1155	144	593	4.11.2	4.11.2	X
m-1155	144	594	)	)	PUNCT
m-1155	144	595	�	�	PROPN
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m-1155	144	597	(	(	PUNCT
m-1155	144	598	�	�	PROPN
m-1155	144	599	)	)	PUNCT
m-1155	144	600	=	=	PRON
m-1155	144	601	{	{	PUNCT
m-1155	144	602	�	�	PROPN
m-1155	144	603	�	�	PROPN
m-1155	144	604	�	�	PROPN
m-1155	144	605	�	�	PROPN
m-1155	144	606	�	�	PROPN
m-1155	144	607	�	�	PROPN
m-1155	144	608	+	+	SYM
m-1155	144	609	�	�	PROPN
m-1155	144	610	�	�	PROPN
m-1155	144	611	�	�	PROPN
m-1155	144	612	�	�	PROPN
m-1155	144	613	�	�	PROPN
m-1155	144	614	�	�	PROPN
m-1155	144	615	−	−	PROPN
m-1155	144	616	(	(	PUNCT
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m-1155	144	618	+	+	CCONJ
m-1155	144	619	�	�	PROPN
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m-1155	144	621	�	�	PROPN
m-1155	144	622	�	�	PROPN
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m-1155	144	625	1	1	NUM
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m-1155	144	629	�	�	PROPN
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m-1155	144	631	1	1	NUM
m-1155	144	632	)	)	PUNCT
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m-1155	144	634	(	(	PUNCT
m-1155	144	635	4.11.3	4.11.3	NUM
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m-1155	144	637	�	�	PROPN
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m-1155	144	639	(	(	PUNCT
m-1155	144	640	�	�	PROPN
m-1155	144	641	)	)	PUNCT
m-1155	144	642	=	=	SYM
m-1155	144	643	�	�	PROPN
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m-1155	144	645	�	�	PROPN
m-1155	144	646	�	�	PROPN
m-1155	144	647	�	�	PROPN
m-1155	144	648	�	�	PROPN
m-1155	144	649	�	�	PROPN
m-1155	144	650	�	�	PROPN
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m-1155	144	652	�	�	PROPN
m-1155	144	653	�	�	PROPN
m-1155	144	654	�	�	PROPN
m-1155	144	655	�	�	PROPN
m-1155	144	656	−	−	PROPN
m-1155	144	657	�	�	PROPN
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m-1155	144	660	+	+	SYM
m-1155	144	661	�	�	PROPN
m-1155	144	662	�	�	PROPN
m-1155	144	663	�	�	PROPN
m-1155	144	664	�	�	PROPN
m-1155	144	665	�	�	PROPN
m-1155	144	666	�	�	PROPN
m-1155	144	667	�	�	PROPN
m-1155	144	668	�	�	PROPN
m-1155	144	669	�	�	PROPN
m-1155	144	670	�	�	PROPN
m-1155	144	671	�	�	PROPN
m-1155	144	672	�	�	PROPN
m-1155	144	673	−	−	PROPN
m-1155	144	674	�	�	PROPN
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m-1155	144	677	+	+	SYM
m-1155	144	678	�	�	PROPN
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m-1155	144	680	�	�	PROPN
m-1155	144	681	�	�	PROPN
m-1155	144	682	�	�	PROPN
m-1155	144	683	�	�	PROPN
m-1155	144	684	�	�	PROPN
m-1155	144	685	�	�	PROPN
m-1155	144	686	�	�	PROPN
m-1155	144	687	�	�	PROPN
m-1155	144	688	�	�	PROPN
m-1155	144	689	�	�	PROPN
m-1155	144	690	−	−	PROPN
m-1155	144	691	�	�	PROPN
m-1155	144	692	�	�	PROPN
m-1155	144	693	�	�	PROPN
m-1155	144	694	+	+	SYM
m-1155	144	695	�	�	PROPN
m-1155	144	696	�	�	PROPN
m-1155	144	697	�	�	PROPN
m-1155	144	698	�	�	PROPN
m-1155	144	699	�	�	PROPN
m-1155	144	700	�	�	PROPN
m-1155	144	701	�	�	PROPN
m-1155	144	702	�	�	PROPN
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m-1155	144	704	�	�	PROPN
m-1155	144	705	�	�	PROPN
m-1155	144	706	�	�	PROPN
m-1155	144	707	−	−	PROPN
m-1155	144	708	�	�	PROPN
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m-1155	144	711	−	−	PROPN
m-1155	144	712	(	(	PUNCT
m-1155	144	713	�	�	PROPN
m-1155	144	714	�	�	PROPN
m-1155	144	715	�	�	PROPN
m-1155	144	716	+	+	SYM
m-1155	144	717	�	�	PROPN
m-1155	144	718	�	�	PROPN
m-1155	144	719	(	(	PUNCT
m-1155	144	720	1	1	NUM
m-1155	144	721	−	−	PROPN
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m-1155	144	723	)	)	PUNCT
m-1155	144	724	+	+	NUM
m-1155	144	725	�	�	PROPN
m-1155	144	726	)	)	PUNCT
m-1155	144	727	�	�	PROPN
m-1155	144	728	�	�	PROPN
m-1155	144	729	�	�	PROPN
m-1155	144	730	{	{	PUNCT
m-1155	144	731	1	1	NUM
m-1155	144	732	+	+	NUM
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m-1155	144	734	(	(	PUNCT
m-1155	144	735	�	�	PROPN
m-1155	144	736	−	−	PROPN
m-1155	144	737	1	1	NUM
m-1155	144	738	)	)	PUNCT
m-1155	144	739	}	}	PUNCT
m-1155	144	740	(	(	PUNCT
m-1155	144	741	4.11.4	4.11.4	NUM
m-1155	144	742	)	)	PUNCT
m-1155	144	743	�	�	PROPN
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m-1155	144	745	�	�	PROPN
m-1155	144	746	(	(	PUNCT
m-1155	144	747	�	�	PROPN
m-1155	144	748	)	)	PUNCT
m-1155	144	749	=	=	PRON
m-1155	144	750	{	{	PUNCT
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m-1155	144	755	�	�	PROPN
m-1155	144	756	−	−	PROPN
m-1155	144	757	(	(	PUNCT
m-1155	144	758	�	�	PROPN
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m-1155	144	762	�	�	PROPN
m-1155	144	763	+	+	CCONJ
m-1155	144	764	�	�	PROPN
m-1155	144	765	+	+	CCONJ
m-1155	144	766	�	�	PROPN
m-1155	144	767	)	)	PUNCT
m-1155	144	768	�	�	PROPN
m-1155	144	769	�	�	PROPN
m-1155	144	770	�	�	PROPN
m-1155	144	771	}	}	PUNCT
m-1155	144	772	{	{	PUNCT
m-1155	144	773	1	1	NUM
m-1155	144	774	+	+	NUM
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m-1155	144	776	(	(	PUNCT
m-1155	144	777	�	�	PROPN
m-1155	144	778	−	−	PROPN
m-1155	144	779	1	1	NUM
m-1155	144	780	)	)	PUNCT
m-1155	144	781	}	}	PUNCT
m-1155	144	782	(	(	PUNCT
m-1155	144	783	4.11.5	4.11.5	X
m-1155	144	784	)	)	PUNCT
m-1155	144	785	ijo	ijo	PROPN
m-1155	144	786	journals	journal	NOUN
m-1155	144	787	volume	volume	NOUN
m-1155	144	788	08	08	NUM
m-1155	145	1	|	|	ADV
m-1155	145	2	issue	issue	NOUN
m-1155	145	3	09	09	NUM
m-1155	145	4	|	|	ADV
m-1155	145	5	september	september	PROPN
m-1155	145	6	2025	2025	NUM
m-1155	146	1	|	|	ADV
m-1155	146	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	PROPN
m-1155	146	3	59	59	NUM
m-1155	146	4	ijo	ijo	PROPN
m-1155	146	5	international	international	PROPN
m-1155	146	6	journal	journal	PROPN
m-1155	146	7	of	of	ADP
m-1155	146	8	mathematics	mathematics	PROPN
m-1155	146	9	(	(	PUNCT
m-1155	146	10	issn	issn	PROPN
m-1155	146	11	:	:	PUNCT
m-1155	146	12	2992	2992	NUM
m-1155	146	13	-	-	SYM
m-1155	146	14	4421	4421	NUM
m-1155	146	15	)	)	PUNCT
m-1155	146	16	thomas	thomas	PROPN
m-1155	146	17	,	,	PUNCT
m-1155	147	1	henry	henry	PROPN
m-1155	147	2	sylvester	sylvester	PROPN
m-1155	147	3	*	*	PUNCT
m-1155	147	4	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-1155	147	5	volume	volume	NOUN
m-1155	147	6	08	08	NUM
m-1155	147	7	||	||	PROPN
m-1155	147	8	issue	issue	NOUN
m-1155	147	9	09	09	NUM
m-1155	147	10	||	||	NOUN
m-1155	147	11	september	september	PROPN
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m-1155	147	13	2025	2025	NUM
m-1155	147	14	||	||	PUNCT
m-1155	148	1	“	"	PUNCT
m-1155	148	2	caputo	caputo	PROPN
m-1155	148	3	-	-	PUNCT
m-1155	148	4	fabrizio	fabrizio	PROPN
m-1155	148	5	fractional	fractional	ADJ
m-1155	148	6	drivatives	drivative	NOUN
m-1155	148	7	of	of	ADP
m-1155	148	8	age	age	NOUN
m-1155	148	9	-	-	PUNCT
m-1155	148	10	structured	structure	VERB
m-1155	148	11	dipptheria	dipptheria	NOUN
m-1155	148	12	infection	infection	NOUN
m-1155	148	13	model	model	NOUN
m-1155	148	14	with	with	ADP
m-1155	148	15	laplace	laplace	NOUN
m-1155	148	16	adomian	adomian	NOUN
m-1155	148	17	decomposition	decomposition	NOUN
m-1155	148	18	analysis	analysis	NOUN
m-1155	148	19	"	"	PUNCT
m-1155	148	20	�	�	PROPN
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m-1155	148	31	1	1	NUM
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m-1155	148	37	−	−	PROPN
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m-1155	148	41	+	+	SYM
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m-1155	148	43	�	�	PROPN
m-1155	148	44	+	+	CCONJ
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m-1155	148	49	�	�	PROPN
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m-1155	148	52	}	}	PUNCT
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m-1155	148	54	1	1	NUM
m-1155	148	55	+	+	NUM
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m-1155	148	60	1	1	NUM
m-1155	148	61	)	)	PUNCT
m-1155	148	62	}	}	PUNCT
m-1155	148	63	(	(	PUNCT
m-1155	148	64	4.11.6	4.11.6	X
m-1155	148	65	)	)	PUNCT
m-1155	148	66	�	�	PROPN
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m-1155	148	69	(	(	PUNCT
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m-1155	148	79	+	+	SYM
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m-1155	148	89	+	+	CCONJ
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m-1155	148	97	}	}	PUNCT
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m-1155	148	99	1	1	NUM
m-1155	148	100	+	+	NUM
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m-1155	148	108	(	(	PUNCT
m-1155	148	109	4.11.7	4.11.7	NUM
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m-1155	148	111	�	�	PROPN
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m-1155	148	113	(	(	PUNCT
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m-1155	148	123	+	+	SYM
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m-1155	148	129	+	+	SYM
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m-1155	148	131	�	�	PROPN
m-1155	148	132	�	�	PROPN
m-1155	148	133	�	�	PROPN
m-1155	148	134	�	�	PROPN
m-1155	148	135	−	−	PROPN
m-1155	148	136	�	�	PROPN
m-1155	148	137	�	�	PROPN
m-1155	148	138	�	�	PROPN
m-1155	148	139	}	}	PUNCT
m-1155	148	140	{	{	PUNCT
m-1155	148	141	1	1	NUM
m-1155	148	142	+	+	NUM
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m-1155	148	145	�	�	PROPN
m-1155	148	146	−	−	PROPN
m-1155	148	147	1	1	NUM
m-1155	148	148	)	)	PUNCT
m-1155	148	149	}	}	PUNCT
m-1155	148	150	(	(	PUNCT
m-1155	148	151	4.11	4.11	NUM
m-1155	148	152	.	.	X
m-1155	148	153	8)	8)	NUM
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m-1155	148	158	�	�	PROPN
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m-1155	148	160	�	�	PROPN
m-1155	148	161	(	(	PUNCT
m-1155	148	162	�	�	PROPN
m-1155	148	163	)	)	PUNCT
m-1155	148	164	=	=	PUNCT
m-1155	148	165	ℒ	ℒ	PROPN
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m-1155	148	167	�	�	PROPN
m-1155	148	168	�	�	PROPN
m-1155	148	169	�	�	PROPN
m-1155	148	170	+	+	CCONJ
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m-1155	148	172	(	(	PUNCT
m-1155	148	173	1	1	NUM
m-1155	148	174	−	−	PROPN
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m-1155	148	176	)	)	PUNCT
m-1155	148	177	�	�	PROPN
m-1155	148	178	ℒ	ℒ	PROPN
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m-1155	148	180	�	�	PROPN
m-1155	148	181	�	�	PROPN
m-1155	148	182	�	�	PROPN
m-1155	148	183	−	−	PROPN
m-1155	148	184	�	�	PROPN
m-1155	148	185	�	�	PROPN
m-1155	148	186	�	�	PROPN
m-1155	148	187	�	�	PROPN
m-1155	148	188	�	�	PROPN
m-1155	148	189	�	�	PROPN
m-1155	148	190	�	�	PROPN
m-1155	148	191	�	�	PROPN
m-1155	148	192	�	�	PROPN
m-1155	148	193	�	�	PROPN
m-1155	148	194	�	�	PROPN
m-1155	148	195	�	�	PROPN
m-1155	148	196	−	−	PROPN
m-1155	148	197	�	�	PROPN
m-1155	148	198	�	�	PROPN
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m-1155	148	200	−	−	PROPN
m-1155	148	201	�	�	PROPN
m-1155	148	202	�	�	PROPN
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m-1155	148	204	�	�	PROPN
m-1155	148	205	�	�	PROPN
m-1155	148	206	�	�	PROPN
m-1155	148	207	�	�	PROPN
m-1155	148	208	�	�	PROPN
m-1155	148	209	�	�	PROPN
m-1155	148	210	�	�	PROPN
m-1155	148	211	�	�	PROPN
m-1155	148	212	�	�	PROPN
m-1155	148	213	−	−	PROPN
m-1155	148	214	�	�	PROPN
m-1155	148	215	�	�	PROPN
m-1155	148	216	�	�	PROPN
m-1155	148	217	−	−	PROPN
m-1155	148	218	(	(	PUNCT
m-1155	148	219	�	�	PROPN
m-1155	148	220	�	�	PROPN
m-1155	148	221	�	�	PROPN
m-1155	148	222	+	+	CCONJ
m-1155	148	223	�	�	PROPN
m-1155	148	224	+	+	CCONJ
m-1155	148	225	�	�	PROPN
m-1155	148	226	)	)	PUNCT
m-1155	148	227	�	�	PROPN
m-1155	148	228	�	�	PROPN
m-1155	148	229	�	�	PROPN
m-1155	148	230	�	�	PROPN
m-1155	148	231	�	�	PROPN
m-1155	148	232	(	(	PUNCT
m-1155	148	233	4.12.1	4.12.1	NUM
m-1155	148	234	)	)	PUNCT
m-1155	148	235	�	�	PROPN
m-1155	148	236	�	�	PROPN
m-1155	148	237	�	�	PROPN
m-1155	148	238	(	(	PUNCT
m-1155	148	239	�	�	PROPN
m-1155	148	240	)	)	PUNCT
m-1155	148	241	=	=	PUNCT
m-1155	148	242	ℒ	ℒ	PROPN
m-1155	148	243	�	�	PROPN
m-1155	148	244	�	�	PROPN
m-1155	148	245	�	�	PROPN
m-1155	148	246	�	�	PROPN
m-1155	148	247	+	+	CCONJ
m-1155	148	248	�	�	PROPN
m-1155	148	249	(	(	PUNCT
m-1155	148	250	1	1	NUM
m-1155	148	251	−	−	PROPN
m-1155	148	252	�	�	PROPN
m-1155	148	253	)	)	PUNCT
m-1155	148	254	�	�	PROPN
m-1155	148	255	ℒ	ℒ	PROPN
m-1155	148	256	�	�	PROPN
m-1155	148	257	�	�	PROPN
m-1155	148	258	�	�	PROPN
m-1155	148	259	�	�	PROPN
m-1155	148	260	�	�	PROPN
m-1155	148	261	−	−	PROPN
m-1155	148	262	�	�	PROPN
m-1155	148	263	�	�	PROPN
m-1155	148	264	�	�	PROPN
m-1155	148	265	�	�	PROPN
m-1155	148	266	�	�	PROPN
m-1155	148	267	�	�	PROPN
m-1155	148	268	�	�	PROPN
m-1155	148	269	�	�	PROPN
m-1155	148	270	�	�	PROPN
m-1155	148	271	�	�	PROPN
m-1155	148	272	�	�	PROPN
m-1155	148	273	�	�	PROPN
m-1155	148	274	−	−	PROPN
m-1155	148	275	�	�	PROPN
m-1155	148	276	�	�	PROPN
m-1155	148	277	�	�	PROPN
m-1155	148	278	−	−	PROPN
m-1155	148	279	�	�	PROPN
m-1155	148	280	�	�	PROPN
m-1155	148	281	�	�	PROPN
m-1155	148	282	�	�	PROPN
m-1155	148	283	�	�	PROPN
m-1155	148	284	�	�	PROPN
m-1155	148	285	�	�	PROPN
m-1155	148	286	�	�	PROPN
m-1155	148	287	�	�	PROPN
m-1155	148	288	�	�	PROPN
m-1155	148	289	�	�	PROPN
m-1155	148	290	�	�	PROPN
m-1155	148	291	−	−	PROPN
m-1155	148	292	�	�	PROPN
m-1155	148	293	�	�	PROPN
m-1155	148	294	�	�	PROPN
m-1155	148	295	−	−	PROPN
m-1155	148	296	(	(	PUNCT
m-1155	148	297	�	�	PROPN
m-1155	148	298	�	�	PROPN
m-1155	148	299	�	�	PROPN
m-1155	148	300	+	+	CCONJ
m-1155	148	301	�	�	PROPN
m-1155	148	302	)	)	PUNCT
m-1155	148	303	�	�	PROPN
m-1155	148	304	�	�	PROPN
m-1155	148	305	�	�	PROPN
m-1155	148	306	�	�	PROPN
m-1155	148	307	�	�	PROPN
m-1155	148	308	(	(	PUNCT
m-1155	148	309	4.12.2	4.12.2	NUM
m-1155	148	310	)	)	PUNCT
m-1155	148	311	�	�	PROPN
m-1155	148	312	�	�	PROPN
m-1155	148	313	(	(	PUNCT
m-1155	148	314	�	�	PROPN
m-1155	148	315	)	)	PUNCT
m-1155	148	316	=	=	PUNCT
m-1155	148	317	ℒ	ℒ	PROPN
m-1155	148	318	�	�	PROPN
m-1155	148	319	�	�	PROPN
m-1155	148	320	�	�	PROPN
m-1155	148	321	�	�	PROPN
m-1155	148	322	+	+	CCONJ
m-1155	148	323	�	�	PROPN
m-1155	148	324	(	(	PUNCT
m-1155	148	325	1	1	NUM
m-1155	148	326	−	−	PROPN
m-1155	148	327	�	�	PROPN
m-1155	148	328	)	)	PUNCT
m-1155	148	329	�	�	PROPN
m-1155	148	330	ℒ	ℒ	PROPN
m-1155	148	331	{	{	PUNCT
m-1155	148	332	�	�	PROPN
m-1155	148	333	�	�	PROPN
m-1155	148	334	�	�	PROPN
m-1155	148	335	�	�	PROPN
m-1155	148	336	�	�	PROPN
m-1155	148	337	�	�	PROPN
m-1155	148	338	+	+	SYM
m-1155	148	339	�	�	PROPN
m-1155	148	340	�	�	PROPN
m-1155	148	341	�	�	PROPN
m-1155	148	342	�	�	PROPN
m-1155	148	343	�	�	PROPN
m-1155	148	344	�	�	PROPN
m-1155	148	345	−	−	PROPN
m-1155	148	346	(	(	PUNCT
m-1155	148	347	�	�	PROPN
m-1155	148	348	+	+	CCONJ
m-1155	148	349	�	�	PROPN
m-1155	148	350	)	)	PUNCT
m-1155	148	351	�	�	PROPN
m-1155	148	352	�	�	PROPN
m-1155	148	353	}	}	SYM
m-1155	148	354	�	�	PROPN
m-1155	148	355	(	(	PUNCT
m-1155	148	356	4.12.3	4.12.3	NUM
m-1155	148	357	)	)	PUNCT
m-1155	148	358	�	�	PROPN
m-1155	148	359	�	�	PROPN
m-1155	148	360	(	(	PUNCT
m-1155	148	361	�	�	PROPN
m-1155	148	362	)	)	PUNCT
m-1155	148	363	=	=	PUNCT
m-1155	148	364	ℒ	ℒ	PROPN
m-1155	148	365	�	�	PROPN
m-1155	148	366	�	�	PROPN
m-1155	148	367	�	�	PROPN
m-1155	148	368	�	�	PROPN
m-1155	148	369	+	+	CCONJ
m-1155	148	370	�	�	PROPN
m-1155	148	371	(	(	PUNCT
m-1155	148	372	1	1	NUM
m-1155	148	373	−	−	PROPN
m-1155	148	374	�	�	PROPN
m-1155	148	375	)	)	PUNCT
m-1155	148	376	�	�	PROPN
m-1155	148	377	ℒ	ℒ	PROPN
m-1155	148	378	�	�	PROPN
m-1155	148	379	�	�	PROPN
m-1155	148	380	�	�	PROPN
m-1155	148	381	�	�	PROPN
m-1155	148	382	�	�	PROPN
m-1155	148	383	�	�	PROPN
m-1155	148	384	�	�	PROPN
m-1155	148	385	�	�	PROPN
m-1155	148	386	�	�	PROPN
m-1155	148	387	�	�	PROPN
m-1155	148	388	�	�	PROPN
m-1155	148	389	�	�	PROPN
m-1155	148	390	�	�	PROPN
m-1155	148	391	−	−	PROPN
m-1155	148	392	�	�	PROPN
m-1155	148	393	�	�	PROPN
m-1155	148	394	�	�	PROPN
m-1155	148	395	+	+	SYM
m-1155	148	396	�	�	PROPN
m-1155	148	397	�	�	PROPN
m-1155	148	398	�	�	PROPN
m-1155	148	399	�	�	PROPN
m-1155	148	400	�	�	PROPN
m-1155	148	401	�	�	PROPN
m-1155	148	402	�	�	PROPN
m-1155	148	403	�	�	PROPN
m-1155	148	404	�	�	PROPN
m-1155	148	405	�	�	PROPN
m-1155	148	406	�	�	PROPN
m-1155	148	407	�	�	PROPN
m-1155	148	408	−	−	PROPN
m-1155	148	409	�	�	PROPN
m-1155	148	410	�	�	PROPN
m-1155	148	411	�	�	PROPN
m-1155	148	412	+	+	SYM
m-1155	148	413	�	�	PROPN
m-1155	148	414	�	�	PROPN
m-1155	148	415	�	�	PROPN
m-1155	148	416	�	�	PROPN
m-1155	148	417	�	�	PROPN
m-1155	148	418	�	�	PROPN
m-1155	148	419	�	�	PROPN
m-1155	148	420	�	�	PROPN
m-1155	148	421	�	�	PROPN
m-1155	148	422	�	�	PROPN
m-1155	148	423	�	�	PROPN
m-1155	148	424	�	�	PROPN
m-1155	148	425	−	−	PROPN
m-1155	148	426	�	�	PROPN
m-1155	148	427	�	�	PROPN
m-1155	148	428	�	�	PROPN
m-1155	148	429	+	+	SYM
m-1155	148	430	�	�	PROPN
m-1155	148	431	�	�	PROPN
m-1155	148	432	�	�	PROPN
m-1155	148	433	�	�	PROPN
m-1155	148	434	�	�	PROPN
m-1155	148	435	�	�	PROPN
m-1155	148	436	�	�	PROPN
m-1155	148	437	�	�	PROPN
m-1155	148	438	�	�	PROPN
m-1155	148	439	�	�	PROPN
m-1155	148	440	�	�	PROPN
m-1155	148	441	�	�	PROPN
m-1155	148	442	−	−	PROPN
m-1155	148	443	�	�	PROPN
m-1155	148	444	�	�	PROPN
m-1155	148	445	�	�	PROPN
m-1155	148	446	−	−	PROPN
m-1155	148	447	(	(	PUNCT
m-1155	148	448	�	�	PROPN
m-1155	148	449	�	�	PROPN
m-1155	148	450	�	�	PROPN
m-1155	148	451	+	+	SYM
m-1155	148	452	�	�	PROPN
m-1155	148	453	�	�	PROPN
m-1155	148	454	(	(	PUNCT
m-1155	148	455	1	1	NUM
m-1155	148	456	−	−	PROPN
m-1155	148	457	�	�	PROPN
m-1155	148	458	)	)	PUNCT
m-1155	148	459	+	+	NUM
m-1155	148	460	�	�	PROPN
m-1155	148	461	)	)	PUNCT
m-1155	148	462	�	�	PROPN
m-1155	148	463	�	�	PROPN
m-1155	148	464	�	�	PROPN
m-1155	148	465	�	�	PROPN
m-1155	148	466	(	(	PUNCT
m-1155	148	467	4.12.4	4.12.4	NUM
m-1155	148	468	)	)	PUNCT
m-1155	148	469	�	�	PROPN
m-1155	148	470	�	�	PROPN
m-1155	148	471	�	�	PROPN
m-1155	148	472	(	(	PUNCT
m-1155	148	473	�	�	PROPN
m-1155	148	474	)	)	PUNCT
m-1155	148	475	=	=	PUNCT
m-1155	148	476	ℒ	ℒ	PROPN
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m-1155	148	478	�	�	PROPN
m-1155	148	479	�	�	PROPN
m-1155	148	480	�	�	PROPN
m-1155	148	481	+	+	CCONJ
m-1155	148	482	�	�	PROPN
m-1155	148	483	(	(	PUNCT
m-1155	148	484	1	1	NUM
m-1155	148	485	−	−	PROPN
m-1155	148	486	�	�	PROPN
m-1155	148	487	)	)	PUNCT
m-1155	148	488	�	�	PROPN
m-1155	148	489	ℒ	ℒ	PROPN
m-1155	148	490	{	{	PUNCT
m-1155	148	491	�	�	PROPN
m-1155	148	492	�	�	PROPN
m-1155	148	493	�	�	PROPN
m-1155	148	494	�	�	PROPN
m-1155	148	495	�	�	PROPN
m-1155	148	496	−	−	PROPN
m-1155	148	497	(	(	PUNCT
m-1155	148	498	�	�	PROPN
m-1155	148	499	�	�	PROPN
m-1155	148	500	+	+	SYM
m-1155	148	501	�	�	PROPN
m-1155	148	502	�	�	PROPN
m-1155	148	503	+	+	CCONJ
m-1155	148	504	�	�	PROPN
m-1155	148	505	+	+	CCONJ
m-1155	148	506	�	�	PROPN
m-1155	148	507	)	)	PUNCT
m-1155	148	508	�	�	PROPN
m-1155	148	509	�	�	PROPN
m-1155	148	510	�	�	PROPN
m-1155	148	511	}	}	SYM
m-1155	148	512	�	�	PROPN
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m-1155	148	514	4.12.5	4.12.5	NUM
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m-1155	148	516	�	�	PROPN
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m-1155	148	518	�	�	PROPN
m-1155	148	519	(	(	PUNCT
m-1155	148	520	�	�	PROPN
m-1155	148	521	)	)	PUNCT
m-1155	148	522	=	=	PUNCT
m-1155	148	523	ℒ	ℒ	PROPN
m-1155	148	524	�	�	PROPN
m-1155	148	525	�	�	PROPN
m-1155	148	526	�	�	PROPN
m-1155	148	527	�	�	PROPN
m-1155	148	528	+	+	CCONJ
m-1155	148	529	�	�	PROPN
m-1155	148	530	(	(	PUNCT
m-1155	148	531	1	1	NUM
m-1155	148	532	−	−	PROPN
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m-1155	148	535	�	�	PROPN
m-1155	148	536	ℒ{	ℒ{	PROPN
m-1155	148	537	�	�	PROPN
m-1155	148	538	�	�	PROPN
m-1155	148	539	(1	(1	PUNCT
m-1155	148	540	−	−	PROPN
m-1155	148	541	�	�	SYM
m-1155	148	542	)	)	PUNCT
m-1155	148	543	�	�	PROPN
m-1155	148	544	�	�	PROPN
m-1155	148	545	−	−	PROPN
m-1155	148	546	(	(	PUNCT
m-1155	148	547	�	�	PROPN
m-1155	148	548	�	�	PROPN
m-1155	148	549	+	+	SYM
m-1155	148	550	�	�	PROPN
m-1155	148	551	�	�	PROPN
m-1155	148	552	+	+	CCONJ
m-1155	148	553	�	�	PROPN
m-1155	148	554	+	+	CCONJ
m-1155	148	555	�	�	PROPN
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m-1155	148	557	�	�	PROPN
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m-1155	148	561	�	�	PROPN
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m-1155	148	563	4.12.6	4.12.6	NUM
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m-1155	148	565	�	�	PROPN
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m-1155	148	567	�	�	PROPN
m-1155	148	568	(	(	PUNCT
m-1155	148	569	�	�	PROPN
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m-1155	148	572	ℒ	ℒ	PROPN
m-1155	148	573	�	�	PROPN
m-1155	148	574	�	�	PROPN
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m-1155	148	577	+	+	CCONJ
m-1155	148	578	�	�	PROPN
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m-1155	148	580	1	1	NUM
m-1155	148	581	−	−	PROPN
m-1155	148	582	�	�	PROPN
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m-1155	148	584	�	�	PROPN
m-1155	148	585	ℒ	ℒ	PROPN
m-1155	148	586	{	{	PUNCT
m-1155	148	587	�	�	PROPN
m-1155	148	588	�	�	PROPN
m-1155	148	589	�	�	PROPN
m-1155	148	590	�	�	PROPN
m-1155	148	591	�	�	PROPN
m-1155	148	592	+	+	SYM
m-1155	148	593	�	�	PROPN
m-1155	148	594	�	�	PROPN
m-1155	148	595	�	�	PROPN
m-1155	148	596	�	�	PROPN
m-1155	148	597	�	�	PROPN
m-1155	148	598	−	−	PROPN
m-1155	148	599	(	(	PUNCT
m-1155	148	600	�	�	PROPN
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m-1155	148	602	+	+	CCONJ
m-1155	148	603	�	�	PROPN
m-1155	148	604	+	+	CCONJ
m-1155	148	605	�	�	PROPN
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m-1155	148	607	�	�	PROPN
m-1155	148	608	�	�	PROPN
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m-1155	148	611	�	�	PROPN
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m-1155	148	613	4.12.7	4.12.7	NUM
m-1155	148	614	)	)	PUNCT
m-1155	148	615	�	�	PROPN
m-1155	148	616	�	�	PROPN
m-1155	148	617	(	(	PUNCT
m-1155	148	618	�	�	PROPN
m-1155	148	619	)	)	PUNCT
m-1155	148	620	=	=	PUNCT
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m-1155	148	623	�	�	PROPN
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m-1155	148	626	+	+	CCONJ
m-1155	148	627	�	�	PROPN
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m-1155	148	629	1	1	NUM
m-1155	148	630	−	−	PROPN
m-1155	148	631	�	�	PROPN
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m-1155	148	633	�	�	PROPN
m-1155	148	634	ℒ	ℒ	PROPN
m-1155	148	635	{	{	PUNCT
m-1155	148	636	�	�	PROPN
m-1155	148	637	�	�	PROPN
m-1155	148	638	�	�	PROPN
m-1155	148	639	�	�	PROPN
m-1155	148	640	�	�	PROPN
m-1155	148	641	+	+	SYM
m-1155	148	642	�	�	PROPN
m-1155	148	643	�	�	PROPN
m-1155	148	644	�	�	PROPN
m-1155	148	645	�	�	PROPN
m-1155	148	646	�	�	PROPN
m-1155	148	647	+	+	SYM
m-1155	148	648	�	�	PROPN
m-1155	148	649	�	�	PROPN
m-1155	148	650	�	�	PROPN
m-1155	148	651	�	�	PROPN
m-1155	148	652	�	�	PROPN
m-1155	148	653	−	−	PROPN
m-1155	148	654	�	�	PROPN
m-1155	148	655	�	�	PROPN
m-1155	148	656	�	�	PROPN
m-1155	148	657	}	}	SYM
m-1155	148	658	�	�	PROPN
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m-1155	148	661	.12	.12	NUM
m-1155	148	662	.	.	X
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m-1155	148	664	ijo	ijo	PROPN
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m-1155	149	7	|	|	ADV
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m-1155	149	17	:	:	PUNCT
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m-1155	150	3	*	*	PUNCT
m-1155	150	4	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-1155	150	5	volume	volume	NOUN
m-1155	150	6	08	08	NUM
m-1155	150	7	||	||	PROPN
m-1155	150	8	issue	issue	NOUN
m-1155	150	9	09	09	NUM
m-1155	150	10	||	||	NOUN
m-1155	150	11	september	september	PROPN
m-1155	150	12	,	,	PUNCT
m-1155	150	13	2025	2025	NUM
m-1155	150	14	||	||	PUNCT
m-1155	151	1	“	"	PUNCT
m-1155	151	2	caputo	caputo	PROPN
m-1155	151	3	-	-	PUNCT
m-1155	151	4	fabrizio	fabrizio	PROPN
m-1155	151	5	fractional	fractional	ADJ
m-1155	151	6	drivatives	drivative	NOUN
m-1155	151	7	of	of	ADP
m-1155	151	8	age	age	NOUN
m-1155	151	9	-	-	PUNCT
m-1155	151	10	structured	structure	VERB
m-1155	151	11	dipptheria	dipptheria	NOUN
m-1155	151	12	infection	infection	NOUN
m-1155	151	13	model	model	NOUN
m-1155	151	14	with	with	ADP
m-1155	151	15	laplace	laplace	NOUN
m-1155	151	16	adomian	adomian	NOUN
m-1155	151	17	decomposition	decomposition	NOUN
m-1155	151	18	analysis	analysis	NOUN
m-1155	151	19	"	"	PUNCT
m-1155	151	20	�	�	PROPN
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m-1155	151	23	(	(	PUNCT
m-1155	151	24	�	�	PROPN
m-1155	151	25	)	)	PUNCT
m-1155	151	26	=	=	SYM
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m-1155	151	31	−	−	PROPN
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m-1155	151	33	1	1	NUM
m-1155	151	34	�	�	PROPN
m-1155	151	35	�	�	PROPN
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m-1155	152	1	[	[	X
m-1155	152	2	{	{	PUNCT
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m-1155	152	26	}	}	PUNCT
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m-1155	152	28	1	1	NUM
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m-1155	152	34	1	1	NUM
m-1155	152	35	)	)	PUNCT
m-1155	152	36	}	}	PUNCT
m-1155	152	37	]	]	PUNCT
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m-1155	152	43	�	�	PROPN
m-1155	152	44	{	{	PUNCT
m-1155	152	45	�	�	PROPN
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m-1155	152	110	1	1	NUM
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m-1155	152	119	�	�	PROPN
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m-1155	152	126	+	+	CCONJ
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m-1155	152	133	�	�	PROPN
m-1155	152	134	�	�	PROPN
m-1155	152	135	�	�	PROPN
m-1155	152	136	−	−	PROPN
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m-1155	152	138	�	�	PROPN
m-1155	152	139	�	�	PROPN
m-1155	152	140	�	�	PROPN
m-1155	152	141	�	�	PROPN
m-1155	152	142	�	�	PROPN
m-1155	152	143	�	�	PROPN
m-1155	152	144	�	�	PROPN
m-1155	152	145	�	�	PROPN
m-1155	152	146	�	�	PROPN
m-1155	152	147	�	�	PROPN
m-1155	152	148	�	�	PROPN
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m-1155	152	154	�	�	PROPN
m-1155	152	155	�	�	PROPN
m-1155	152	156	�	�	PROPN
m-1155	152	157	�	�	PROPN
m-1155	152	158	�	�	PROPN
m-1155	152	159	�	�	PROPN
m-1155	152	160	�	�	PROPN
m-1155	152	161	�	�	PROPN
m-1155	152	162	�	�	PROPN
m-1155	152	163	�	�	PROPN
m-1155	152	164	�	�	PROPN
m-1155	152	165	�	�	PROPN
m-1155	152	166	−	−	PROPN
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m-1155	152	175	+	+	CCONJ
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m-1155	152	178	�	�	PROPN
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m-1155	152	180	�	�	PROPN
m-1155	152	181	�	�	PROPN
m-1155	152	182	�	�	PROPN
m-1155	152	183	�	�	PROPN
m-1155	152	184	{	{	PUNCT
m-1155	152	185	1	1	NUM
m-1155	152	186	+	+	NUM
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m-1155	152	189	�	�	PROPN
m-1155	152	190	−	−	PROPN
m-1155	152	191	1	1	NUM
m-1155	152	192	)	)	PUNCT
m-1155	152	193	}	}	PUNCT
m-1155	152	194	�	�	PROPN
m-1155	152	195	{	{	PUNCT
m-1155	152	196	1	1	NUM
m-1155	152	197	+	+	NUM
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m-1155	152	200	�	�	PROPN
m-1155	152	201	−	−	PROPN
m-1155	152	202	1	1	NUM
m-1155	152	203	)	)	PUNCT
m-1155	152	204	}	}	PUNCT
m-1155	152	205	4.13.1	4.13.1	NUM
m-1155	152	206	�	�	PROPN
m-1155	152	207	�	�	PROPN
m-1155	152	208	�	�	PROPN
m-1155	152	209	(	(	PUNCT
m-1155	152	210	�	�	PROPN
m-1155	152	211	)	)	PUNCT
m-1155	152	212	=	=	SYM
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m-1155	152	214	�	�	PROPN
m-1155	152	215	�	�	PROPN
m-1155	152	216	�	�	PROPN
m-1155	152	217	�	�	PROPN
m-1155	152	218	�	�	PROPN
m-1155	152	219	�	�	PROPN
m-1155	152	220	−	−	PROPN
m-1155	152	221	�	�	PROPN
m-1155	152	222	�	�	PROPN
m-1155	152	223	�	�	PROPN
m-1155	152	224	�	�	PROPN
m-1155	152	225	�	�	PROPN
m-1155	152	226	�	�	PROPN
m-1155	152	227	�	�	PROPN
m-1155	152	228	�	�	PROPN
m-1155	152	229	�	�	PROPN
m-1155	152	230	�	�	PROPN
m-1155	152	231	�	�	PROPN
m-1155	152	232	�	�	PROPN
m-1155	152	233	−	−	PROPN
m-1155	152	234	�	�	PROPN
m-1155	152	235	�	�	PROPN
m-1155	152	236	�	�	PROPN
m-1155	152	237	−	−	PROPN
m-1155	152	238	�	�	PROPN
m-1155	152	239	�	�	PROPN
m-1155	152	240	�	�	PROPN
m-1155	152	241	�	�	PROPN
m-1155	152	242	�	�	PROPN
m-1155	152	243	�	�	PROPN
m-1155	152	244	�	�	PROPN
m-1155	152	245	�	�	PROPN
m-1155	152	246	�	�	PROPN
m-1155	152	247	�	�	PROPN
m-1155	152	248	�	�	PROPN
m-1155	152	249	�	�	PROPN
m-1155	152	250	−	−	PROPN
m-1155	152	251	�	�	PROPN
m-1155	152	252	�	�	PROPN
m-1155	152	253	�	�	PROPN
m-1155	152	254	−	−	PROPN
m-1155	152	255	(	(	PUNCT
m-1155	152	256	�	�	PROPN
m-1155	152	257	�	�	PROPN
m-1155	152	258	�	�	PROPN
m-1155	152	259	+	+	CCONJ
m-1155	152	260	�	�	PROPN
m-1155	152	261	+	+	CCONJ
m-1155	152	262	�	�	PROPN
m-1155	152	263	)	)	PUNCT
m-1155	152	264	�	�	PROPN
m-1155	152	265	�	�	PROPN
m-1155	152	266	�	�	PROPN
m-1155	152	267	�	�	PROPN
m-1155	152	268	−	−	PROPN
m-1155	152	269	1	1	NUM
m-1155	152	270	�	�	PROPN
m-1155	152	271	�	�	PROPN
m-1155	152	272	−	−	PROPN
m-1155	152	273	{	{	PUNCT
m-1155	152	274	�	�	PROPN
m-1155	152	275	�	�	PROPN
m-1155	152	276	�	�	PROPN
m-1155	152	277	�	�	PROPN
m-1155	152	278	�	�	PROPN
m-1155	152	279	+	+	SYM
m-1155	152	280	�	�	PROPN
m-1155	152	281	�	�	PROPN
m-1155	152	282	�	�	PROPN
m-1155	152	283	�	�	PROPN
m-1155	152	284	�	�	PROPN
m-1155	152	285	−	−	PROPN
m-1155	152	286	(	(	PUNCT
m-1155	152	287	�	�	PROPN
m-1155	152	288	�	�	PROPN
m-1155	152	289	+	+	CCONJ
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m-1155	152	291	+	+	CCONJ
m-1155	152	292	�	�	PROPN
m-1155	152	293	)	)	PUNCT
m-1155	152	294	�	�	PROPN
m-1155	152	295	�	�	PROPN
m-1155	152	296	�	�	PROPN
m-1155	152	297	}	}	PUNCT
m-1155	152	298	{	{	PUNCT
m-1155	152	299	1	1	NUM
m-1155	152	300	+	+	NUM
m-1155	152	301	�	�	PROPN
m-1155	152	302	(	(	PUNCT
m-1155	152	303	�	�	PROPN
m-1155	152	304	−	−	PROPN
m-1155	152	305	1	1	NUM
m-1155	152	306	)	)	PUNCT
m-1155	152	307	}	}	PUNCT
m-1155	153	1	[	[	X
m-1155	153	2	�	�	PROPN
m-1155	153	3	�	�	PROPN
m-1155	153	4	�	�	PROPN
m-1155	153	5	�	�	PROPN
m-1155	153	6	{	{	PUNCT
m-1155	153	7	�	�	PROPN
m-1155	153	8	�	�	PROPN
m-1155	153	9	�	�	PROPN
m-1155	153	10	�	�	PROPN
m-1155	153	11	�	�	PROPN
m-1155	153	12	−	−	PROPN
m-1155	153	13	(	(	PUNCT
m-1155	153	14	�	�	PROPN
m-1155	153	15	�	�	PROPN
m-1155	153	16	+	+	SYM
m-1155	153	17	�	�	PROPN
m-1155	153	18	�	�	PROPN
m-1155	153	19	+	+	CCONJ
m-1155	153	20	�	�	PROPN
m-1155	153	21	+	+	CCONJ
m-1155	153	22	�	�	PROPN
m-1155	153	23	)	)	PUNCT
m-1155	153	24	�	�	PROPN
m-1155	153	25	�	�	PROPN
m-1155	153	26	�	�	PROPN
m-1155	153	27	}	}	PUNCT
m-1155	153	28	−	−	PROPN
m-1155	153	29	�	�	PROPN
m-1155	153	30	�	�	PROPN
m-1155	153	31	�	�	PROPN
m-1155	153	32	�	�	PROPN
m-1155	153	33	{	{	SYM
m-1155	153	34	�	�	PROPN
m-1155	153	35	�	�	PROPN
m-1155	153	36	(	(	PUNCT
m-1155	153	37	1	1	NUM
m-1155	153	38	−	−	PROPN
m-1155	153	39	�	�	SYM
m-1155	153	40	)	)	PUNCT
m-1155	153	41	�	�	PROPN
m-1155	153	42	�	�	PROPN
m-1155	153	43	−	−	PROPN
m-1155	153	44	(	(	PUNCT
m-1155	153	45	�	�	PROPN
m-1155	153	46	�	�	PROPN
m-1155	153	47	+	+	SYM
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m-1155	153	49	�	�	PROPN
m-1155	153	50	+	+	CCONJ
m-1155	153	51	�	�	PROPN
m-1155	153	52	+	+	CCONJ
m-1155	153	53	�	�	PROPN
m-1155	153	54	)	)	PUNCT
m-1155	153	55	�	�	PROPN
m-1155	153	56	�	�	PROPN
m-1155	153	57	�	�	PROPN
m-1155	153	58	}	}	PUNCT
m-1155	153	59	]	]	PUNCT
m-1155	153	60	−	−	PROPN
m-1155	153	61	(	(	PUNCT
m-1155	153	62	�	�	PROPN
m-1155	153	63	�	�	PROPN
m-1155	153	64	�	�	PROPN
m-1155	153	65	+	+	CCONJ
m-1155	153	66	�	�	PROPN
m-1155	153	67	)	)	PUNCT
m-1155	153	68	�	�	PROPN
m-1155	153	69	�	�	PROPN
m-1155	153	70	�	�	PROPN
m-1155	153	71	�	�	PROPN
m-1155	153	72	�	�	PROPN
m-1155	153	73	�	�	PROPN
m-1155	153	74	−	−	PROPN
m-1155	153	75	�	�	PROPN
m-1155	153	76	�	�	PROPN
m-1155	153	77	�	�	PROPN
m-1155	153	78	�	�	PROPN
m-1155	153	79	�	�	PROPN
m-1155	153	80	�	�	PROPN
m-1155	153	81	�	�	PROPN
m-1155	153	82	�	�	PROPN
m-1155	153	83	�	�	PROPN
m-1155	153	84	�	�	PROPN
m-1155	153	85	�	�	PROPN
m-1155	153	86	�	�	PROPN
m-1155	153	87	−	−	PROPN
m-1155	153	88	�	�	PROPN
m-1155	153	89	�	�	PROPN
m-1155	153	90	�	�	PROPN
m-1155	153	91	−	−	PROPN
m-1155	153	92	�	�	PROPN
m-1155	153	93	�	�	PROPN
m-1155	153	94	�	�	PROPN
m-1155	153	95	�	�	PROPN
m-1155	153	96	�	�	PROPN
m-1155	153	97	�	�	PROPN
m-1155	153	98	�	�	PROPN
m-1155	153	99	�	�	PROPN
m-1155	153	100	�	�	PROPN
m-1155	153	101	�	�	PROPN
m-1155	153	102	�	�	PROPN
m-1155	153	103	�	�	PROPN
m-1155	153	104	−	−	PROPN
m-1155	153	105	�	�	PROPN
m-1155	153	106	�	�	PROPN
m-1155	153	107	�	�	PROPN
m-1155	153	108	−	−	PROPN
m-1155	153	109	(	(	PUNCT
m-1155	153	110	�	�	PROPN
m-1155	153	111	�	�	PROPN
m-1155	153	112	�	�	PROPN
m-1155	153	113	+	+	CCONJ
m-1155	153	114	�	�	PROPN
m-1155	153	115	)	)	PUNCT
m-1155	153	116	�	�	PROPN
m-1155	153	117	�	�	PROPN
m-1155	153	118	�	�	PROPN
m-1155	153	119	�	�	PROPN
m-1155	153	120	{	{	PUNCT
m-1155	153	121	1	1	NUM
m-1155	153	122	+	+	NUM
m-1155	153	123	�	�	PROPN
m-1155	153	124	(	(	PUNCT
m-1155	153	125	�	�	PROPN
m-1155	153	126	−	−	PROPN
m-1155	153	127	1)}{1	1)}{1	NUM
m-1155	153	128	+	+	PUNCT
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m-1155	153	130	(	(	PUNCT
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m-1155	153	133	1)}(4.13.2	1)}(4.13.2	NUM
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m-1155	153	135	�	�	PROPN
m-1155	153	136	�	�	PROPN
m-1155	153	137	(	(	PUNCT
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m-1155	153	139	)	)	PUNCT
m-1155	153	140	=	=	SYM
m-1155	153	141	�	�	PROPN
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m-1155	153	143	�	�	PROPN
m-1155	153	144	�	�	PROPN
m-1155	153	145	�	�	PROPN
m-1155	153	146	�	�	PROPN
m-1155	153	147	�	�	PROPN
m-1155	153	148	�	�	PROPN
m-1155	153	149	−	−	PROPN
m-1155	153	150	�	�	PROPN
m-1155	153	151	�	�	PROPN
m-1155	153	152	�	�	PROPN
m-1155	153	153	�	�	PROPN
m-1155	153	154	�	�	PROPN
m-1155	153	155	�	�	PROPN
m-1155	153	156	�	�	PROPN
m-1155	153	157	�	�	PROPN
m-1155	153	158	�	�	PROPN
m-1155	153	159	�	�	PROPN
m-1155	153	160	�	�	PROPN
m-1155	153	161	�	�	PROPN
m-1155	153	162	−	−	PROPN
m-1155	153	163	�	�	PROPN
m-1155	153	164	�	�	PROPN
m-1155	153	165	�	�	PROPN
m-1155	153	166	−	−	PROPN
m-1155	153	167	�	�	PROPN
m-1155	153	168	�	�	PROPN
m-1155	153	169	�	�	PROPN
m-1155	153	170	�	�	PROPN
m-1155	153	171	�	�	PROPN
m-1155	153	172	�	�	PROPN
m-1155	153	173	�	�	PROPN
m-1155	153	174	�	�	PROPN
m-1155	153	175	�	�	PROPN
m-1155	153	176	�	�	PROPN
m-1155	153	177	�	�	PROPN
m-1155	153	178	�	�	PROPN
m-1155	153	179	−	−	PROPN
m-1155	153	180	�	�	PROPN
m-1155	153	181	�	�	PROPN
m-1155	153	182	�	�	PROPN
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m-1155	153	184	(	(	PUNCT
m-1155	153	185	�	�	PROPN
m-1155	153	186	�	�	PROPN
m-1155	153	187	�	�	PROPN
m-1155	153	188	+	+	CCONJ
m-1155	153	189	�	�	PROPN
m-1155	153	190	+	+	CCONJ
m-1155	153	191	�	�	PROPN
m-1155	153	192	)	)	PUNCT
m-1155	153	193	�	�	PROPN
m-1155	153	194	�	�	PROPN
m-1155	153	195	�	�	PROPN
m-1155	153	196	�	�	PROPN
m-1155	153	197	+	+	CCONJ
m-1155	153	198	�	�	PROPN
m-1155	153	199	�	�	PROPN
m-1155	153	200	�	�	PROPN
m-1155	153	201	�	�	PROPN
m-1155	153	202	�	�	PROPN
m-1155	153	203	�	�	PROPN
m-1155	153	204	�	�	PROPN
m-1155	153	205	�	�	PROPN
m-1155	153	206	−	−	PROPN
m-1155	153	207	�	�	PROPN
m-1155	153	208	�	�	PROPN
m-1155	153	209	�	�	PROPN
m-1155	153	210	�	�	PROPN
m-1155	153	211	�	�	PROPN
m-1155	153	212	�	�	PROPN
m-1155	153	213	�	�	PROPN
m-1155	153	214	�	�	PROPN
m-1155	153	215	�	�	PROPN
m-1155	153	216	�	�	PROPN
m-1155	153	217	�	�	PROPN
m-1155	153	218	�	�	PROPN
m-1155	153	219	−	−	PROPN
m-1155	153	220	�	�	PROPN
m-1155	153	221	�	�	PROPN
m-1155	153	222	�	�	PROPN
m-1155	153	223	−	−	PROPN
m-1155	153	224	�	�	PROPN
m-1155	153	225	�	�	PROPN
m-1155	153	226	�	�	PROPN
m-1155	153	227	�	�	PROPN
m-1155	153	228	�	�	PROPN
m-1155	153	229	�	�	PROPN
m-1155	153	230	�	�	PROPN
m-1155	153	231	�	�	PROPN
m-1155	153	232	�	�	PROPN
m-1155	153	233	�	�	PROPN
m-1155	153	234	�	�	PROPN
m-1155	153	235	�	�	PROPN
m-1155	153	236	−	−	PROPN
m-1155	153	237	�	�	PROPN
m-1155	153	238	�	�	PROPN
m-1155	153	239	�	�	PROPN
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m-1155	153	241	(	(	PUNCT
m-1155	153	242	�	�	PROPN
m-1155	153	243	�	�	PROPN
m-1155	153	244	�	�	PROPN
m-1155	153	245	+	+	CCONJ
m-1155	153	246	�	�	PROPN
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m-1155	153	248	�	�	PROPN
m-1155	153	249	�	�	PROPN
m-1155	153	250	�	�	PROPN
m-1155	153	251	�	�	PROPN
m-1155	153	252	−	−	PROPN
m-1155	153	253	(	(	PUNCT
m-1155	153	254	�	�	PROPN
m-1155	153	255	+	+	CCONJ
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m-1155	153	258	{	{	PUNCT
m-1155	153	259	�	�	PROPN
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m-1155	153	261	�	�	PROPN
m-1155	153	262	�	�	PROPN
m-1155	153	263	�	�	PROPN
m-1155	153	264	�	�	PROPN
m-1155	153	265	+	+	SYM
m-1155	153	266	�	�	PROPN
m-1155	153	267	�	�	PROPN
m-1155	153	268	�	�	PROPN
m-1155	153	269	�	�	PROPN
m-1155	153	270	�	�	PROPN
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m-1155	153	278	�	�	PROPN
m-1155	153	279	�	�	PROPN
m-1155	153	280	}	}	PUNCT
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m-1155	153	282	{	{	PUNCT
m-1155	153	283	1	1	NUM
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m-1155	153	297	}	}	PUNCT
m-1155	153	298	(	(	PUNCT
m-1155	153	299	4.13.3	4.13.3	NUM
m-1155	153	300	)	)	PUNCT
m-1155	153	301	ijo	ijo	PROPN
m-1155	153	302	journals	journal	NOUN
m-1155	153	303	volume	volume	NOUN
m-1155	153	304	08	08	NUM
m-1155	154	1	|	|	ADV
m-1155	154	2	issue	issue	NOUN
m-1155	154	3	09	09	NUM
m-1155	154	4	|	|	ADV
m-1155	154	5	september	september	PROPN
m-1155	154	6	2025	2025	NUM
m-1155	155	1	|	|	ADV
m-1155	155	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-1155	155	3	61	61	NUM
m-1155	155	4	ijo	ijo	PROPN
m-1155	155	5	international	international	ADJ
m-1155	155	6	journal	journal	NOUN
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m-1155	155	8	mathematics	mathematics	PROPN
m-1155	155	9	(	(	PUNCT
m-1155	155	10	issn	issn	PROPN
m-1155	155	11	:	:	PUNCT
m-1155	155	12	2992	2992	NUM
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m-1155	155	14	4421	4421	NUM
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m-1155	155	16	thomas	thomas	PROPN
m-1155	155	17	,	,	PUNCT
m-1155	155	18	henry	henry	PROPN
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m-1155	155	20	*	*	PUNCT
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m-1155	155	23	08	08	NUM
m-1155	155	24	||	||	PROPN
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m-1155	155	26	09	09	NUM
m-1155	155	27	||	||	NOUN
m-1155	155	28	september	september	PROPN
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m-1155	155	30	2025	2025	NUM
m-1155	155	31	||	||	PUNCT
m-1155	156	1	“	"	PUNCT
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m-1155	156	3	-	-	PUNCT
m-1155	156	4	fabrizio	fabrizio	PROPN
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m-1155	156	6	drivatives	drivative	NOUN
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m-1155	156	8	age	age	NOUN
m-1155	156	9	-	-	PUNCT
m-1155	156	10	structured	structure	VERB
m-1155	156	11	dipptheria	dipptheria	NOUN
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m-1155	156	15	laplace	laplace	NOUN
m-1155	156	16	adomian	adomian	NOUN
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m-1155	156	25	=	=	SYM
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m-1155	156	30	−	−	PROPN
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m-1155	156	32	�	�	PROPN
m-1155	156	33	�	�	PROPN
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m-1155	156	35	�	�	PROPN
m-1155	156	36	�	�	PROPN
m-1155	156	37	+	+	SYM
m-1155	156	38	�	�	PROPN
m-1155	156	39	�	�	PROPN
m-1155	156	40	�	�	PROPN
m-1155	156	41	�	�	PROPN
m-1155	156	42	�	�	PROPN
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m-1155	156	45	�	�	PROPN
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m-1155	156	47	+	+	CCONJ
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m-1155	156	52	�	�	PROPN
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m-1155	156	56	{	{	PUNCT
m-1155	156	57	1	1	NUM
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m-1155	156	63	1	1	NUM
m-1155	156	64	)	)	PUNCT
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m-1155	157	1	[	[	X
m-1155	157	2	�	�	PROPN
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m-1155	157	19	+	+	CCONJ
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m-1155	157	22	�	�	PROPN
m-1155	157	23	)	)	PUNCT
m-1155	157	24	�	�	PROPN
m-1155	157	25	�	�	PROPN
m-1155	157	26	�	�	PROPN
m-1155	157	27	}	}	PUNCT
m-1155	157	28	�	�	PROPN
m-1155	157	29	�	�	PROPN
m-1155	157	30	�	�	PROPN
m-1155	157	31	�	�	PROPN
m-1155	157	32	�	�	PROPN
m-1155	157	33	−	−	PROPN
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m-1155	157	35	�	�	PROPN
m-1155	157	36	�	�	PROPN
m-1155	157	37	�	�	PROPN
m-1155	157	38	�	�	PROPN
m-1155	157	39	�	�	PROPN
m-1155	157	40	�	�	PROPN
m-1155	157	41	�	�	PROPN
m-1155	157	42	�	�	PROPN
m-1155	157	43	�	�	PROPN
m-1155	157	44	�	�	PROPN
m-1155	157	45	�	�	PROPN
m-1155	157	46	−	−	PROPN
m-1155	157	47	�	�	PROPN
m-1155	157	48	�	�	PROPN
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m-1155	157	50	−	−	PROPN
m-1155	157	51	�	�	PROPN
m-1155	157	52	�	�	PROPN
m-1155	157	53	�	�	PROPN
m-1155	157	54	�	�	PROPN
m-1155	157	55	�	�	PROPN
m-1155	157	56	�	�	PROPN
m-1155	157	57	�	�	PROPN
m-1155	157	58	�	�	PROPN
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m-1155	157	60	�	�	PROPN
m-1155	157	61	�	�	PROPN
m-1155	157	62	�	�	PROPN
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m-1155	157	68	(	(	PUNCT
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m-1155	157	72	+	+	CCONJ
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m-1155	157	78	�	�	PROPN
m-1155	157	79	+	+	SYM
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m-1155	157	82	�	�	PROPN
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m-1155	157	84	{	{	SYM
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m-1155	157	88	1	1	NUM
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m-1155	157	92	�	�	PROPN
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m-1155	157	95	(	(	PUNCT
m-1155	157	96	�	�	PROPN
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m-1155	157	99	�	�	PROPN
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m-1155	157	101	+	+	CCONJ
m-1155	157	102	�	�	PROPN
m-1155	157	103	+	+	CCONJ
m-1155	157	104	�	�	PROPN
m-1155	157	105	)	)	PUNCT
m-1155	157	106	�	�	PROPN
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m-1155	157	108	�	�	PROPN
m-1155	157	109	}	}	PUNCT
m-1155	157	110	�	�	PROPN
m-1155	157	111	�	�	PROPN
m-1155	157	112	�	�	PROPN
m-1155	157	113	�	�	PROPN
m-1155	157	114	−	−	PROPN
m-1155	157	115	�	�	PROPN
m-1155	157	116	�	�	PROPN
m-1155	157	117	�	�	PROPN
m-1155	157	118	�	�	PROPN
m-1155	157	119	�	�	PROPN
m-1155	157	120	�	�	PROPN
m-1155	157	121	�	�	PROPN
m-1155	157	122	�	�	PROPN
m-1155	157	123	�	�	PROPN
m-1155	157	124	�	�	PROPN
m-1155	157	125	�	�	PROPN
m-1155	157	126	�	�	PROPN
m-1155	157	127	−	−	PROPN
m-1155	157	128	�	�	PROPN
m-1155	157	129	�	�	PROPN
m-1155	157	130	�	�	PROPN
m-1155	157	131	−	−	PROPN
m-1155	157	132	�	�	PROPN
m-1155	157	133	�	�	PROPN
m-1155	157	134	�	�	PROPN
m-1155	157	135	�	�	PROPN
m-1155	157	136	�	�	PROPN
m-1155	157	137	�	�	PROPN
m-1155	157	138	�	�	PROPN
m-1155	157	139	�	�	PROPN
m-1155	157	140	�	�	PROPN
m-1155	157	141	�	�	PROPN
m-1155	157	142	�	�	PROPN
m-1155	157	143	�	�	PROPN
m-1155	157	144	−	−	PROPN
m-1155	157	145	�	�	PROPN
m-1155	157	146	�	�	PROPN
m-1155	157	147	�	�	PROPN
m-1155	157	148	−	−	PROPN
m-1155	157	149	(	(	PUNCT
m-1155	157	150	�	�	PROPN
m-1155	157	151	�	�	PROPN
m-1155	157	152	�	�	PROPN
m-1155	157	153	+	+	CCONJ
m-1155	157	154	�	�	PROPN
m-1155	157	155	+	+	CCONJ
m-1155	157	156	�	�	PROPN
m-1155	157	157	)	)	PUNCT
m-1155	157	158	�	�	PROPN
m-1155	157	159	�	�	PROPN
m-1155	157	160	�	�	PROPN
m-1155	157	161	�	�	PROPN
m-1155	157	162	+	+	SYM
m-1155	157	163	�	�	PROPN
m-1155	157	164	�	�	PROPN
m-1155	157	165	�	�	PROPN
m-1155	157	166	�	�	PROPN
m-1155	157	167	{	{	PUNCT
m-1155	157	168	�	�	PROPN
m-1155	157	169	�	�	PROPN
m-1155	157	170	�	�	PROPN
m-1155	157	171	�	�	PROPN
m-1155	157	172	�	�	PROPN
m-1155	157	173	−	−	PROPN
m-1155	157	174	(	(	PUNCT
m-1155	157	175	�	�	PROPN
m-1155	157	176	�	�	PROPN
m-1155	157	177	+	+	SYM
m-1155	157	178	�	�	PROPN
m-1155	157	179	�	�	PROPN
m-1155	157	180	+	+	CCONJ
m-1155	157	181	�	�	PROPN
m-1155	157	182	+	+	CCONJ
m-1155	157	183	�	�	PROPN
m-1155	157	184	)	)	PUNCT
m-1155	157	185	�	�	PROPN
m-1155	157	186	�	�	PROPN
m-1155	157	187	�	�	PROPN
m-1155	157	188	}	}	PUNCT
m-1155	157	189	�	�	PROPN
m-1155	157	190	�	�	PROPN
m-1155	157	191	�	�	PROPN
m-1155	157	192	�	�	PROPN
m-1155	157	193	�	�	PROPN
m-1155	157	194	−	−	PROPN
m-1155	157	195	�	�	PROPN
m-1155	157	196	�	�	PROPN
m-1155	157	197	�	�	PROPN
m-1155	157	198	�	�	PROPN
m-1155	157	199	�	�	PROPN
m-1155	157	200	�	�	PROPN
m-1155	157	201	�	�	PROPN
m-1155	157	202	�	�	PROPN
m-1155	157	203	�	�	PROPN
m-1155	157	204	�	�	PROPN
m-1155	157	205	�	�	PROPN
m-1155	157	206	�	�	PROPN
m-1155	157	207	−	−	PROPN
m-1155	157	208	�	�	PROPN
m-1155	157	209	�	�	PROPN
m-1155	157	210	�	�	PROPN
m-1155	157	211	−	−	PROPN
m-1155	157	212	�	�	PROPN
m-1155	157	213	�	�	PROPN
m-1155	157	214	�	�	PROPN
m-1155	157	215	�	�	PROPN
m-1155	157	216	�	�	PROPN
m-1155	157	217	�	�	PROPN
m-1155	157	218	�	�	PROPN
m-1155	157	219	�	�	PROPN
m-1155	157	220	�	�	PROPN
m-1155	157	221	�	�	PROPN
m-1155	157	222	�	�	PROPN
m-1155	157	223	�	�	PROPN
m-1155	157	224	−	−	PROPN
m-1155	157	225	�	�	PROPN
m-1155	157	226	�	�	PROPN
m-1155	157	227	�	�	PROPN
m-1155	157	228	−	−	PROPN
m-1155	157	229	(	(	PUNCT
m-1155	157	230	�	�	PROPN
m-1155	157	231	�	�	PROPN
m-1155	157	232	�	�	PROPN
m-1155	157	233	+	+	CCONJ
m-1155	157	234	�	�	PROPN
m-1155	157	235	)	)	PUNCT
m-1155	157	236	�	�	PROPN
m-1155	157	237	�	�	PROPN
m-1155	157	238	�	�	PROPN
m-1155	157	239	�	�	PROPN
m-1155	157	240	+	+	SYM
m-1155	157	241	�	�	PROPN
m-1155	157	242	�	�	PROPN
m-1155	157	243	�	�	PROPN
m-1155	157	244	�	�	PROPN
m-1155	157	245	{	{	SYM
m-1155	157	246	�	�	PROPN
m-1155	157	247	�	�	PROPN
m-1155	157	248	(	(	PUNCT
m-1155	157	249	1	1	NUM
m-1155	157	250	−	−	PROPN
m-1155	157	251	�	�	SYM
m-1155	157	252	)	)	PUNCT
m-1155	157	253	�	�	PROPN
m-1155	157	254	�	�	PROPN
m-1155	157	255	−	−	PROPN
m-1155	157	256	(	(	PUNCT
m-1155	157	257	�	�	PROPN
m-1155	157	258	�	�	PROPN
m-1155	157	259	+	+	SYM
m-1155	157	260	�	�	PROPN
m-1155	157	261	�	�	PROPN
m-1155	157	262	+	+	CCONJ
m-1155	157	263	�	�	PROPN
m-1155	157	264	+	+	CCONJ
m-1155	157	265	�	�	PROPN
m-1155	157	266	)	)	PUNCT
m-1155	157	267	�	�	PROPN
m-1155	157	268	�	�	PROPN
m-1155	157	269	�	�	PROPN
m-1155	157	270	}	}	PUNCT
m-1155	157	271	�	�	PROPN
m-1155	157	272	�	�	PROPN
m-1155	157	273	�	�	PROPN
m-1155	157	274	�	�	PROPN
m-1155	157	275	�	�	PROPN
m-1155	157	276	−	−	PROPN
m-1155	157	277	�	�	PROPN
m-1155	157	278	�	�	PROPN
m-1155	157	279	�	�	PROPN
m-1155	157	280	�	�	PROPN
m-1155	157	281	�	�	PROPN
m-1155	157	282	�	�	PROPN
m-1155	157	283	�	�	PROPN
m-1155	157	284	�	�	PROPN
m-1155	157	285	�	�	PROPN
m-1155	157	286	�	�	PROPN
m-1155	157	287	�	�	PROPN
m-1155	157	288	�	�	PROPN
m-1155	157	289	−	−	PROPN
m-1155	157	290	�	�	PROPN
m-1155	157	291	�	�	PROPN
m-1155	157	292	�	�	PROPN
m-1155	157	293	−	−	PROPN
m-1155	157	294	�	�	PROPN
m-1155	157	295	�	�	PROPN
m-1155	157	296	�	�	PROPN
m-1155	157	297	�	�	PROPN
m-1155	157	298	�	�	PROPN
m-1155	157	299	�	�	PROPN
m-1155	157	300	�	�	PROPN
m-1155	157	301	�	�	PROPN
m-1155	157	302	�	�	PROPN
m-1155	157	303	�	�	PROPN
m-1155	157	304	�	�	PROPN
m-1155	157	305	�	�	PROPN
m-1155	157	306	−	−	PROPN
m-1155	157	307	�	�	PROPN
m-1155	157	308	�	�	PROPN
m-1155	157	309	�	�	PROPN
m-1155	157	310	−	−	PROPN
m-1155	157	311	(	(	PUNCT
m-1155	157	312	�	�	PROPN
m-1155	157	313	�	�	PROPN
m-1155	157	314	�	�	PROPN
m-1155	157	315	+	+	CCONJ
m-1155	157	316	�	�	PROPN
m-1155	157	317	)	)	PUNCT
m-1155	157	318	�	�	PROPN
m-1155	157	319	�	�	PROPN
m-1155	157	320	�	�	PROPN
m-1155	157	321	�	�	PROPN
m-1155	157	322	]	]	PUNCT
m-1155	157	323	{	{	PUNCT
m-1155	157	324	1	1	NUM
m-1155	157	325	+	+	NUM
m-1155	157	326	�	�	PROPN
m-1155	157	327	(	(	PUNCT
m-1155	157	328	�	�	PROPN
m-1155	157	329	−	−	PROPN
m-1155	157	330	1	1	NUM
m-1155	157	331	)	)	PUNCT
m-1155	157	332	}	}	PUNCT
m-1155	157	333	−	−	PROPN
m-1155	157	334	(	(	PUNCT
m-1155	157	335	�	�	PROPN
m-1155	157	336	�	�	PROPN
m-1155	157	337	�	�	PROPN
m-1155	157	338	+	+	SYM
m-1155	157	339	�	�	PROPN
m-1155	157	340	�	�	PROPN
m-1155	157	341	(	(	PUNCT
m-1155	157	342	1	1	NUM
m-1155	157	343	−	−	PROPN
m-1155	157	344	�	�	PROPN
m-1155	157	345	)	)	PUNCT
m-1155	157	346	+	+	NUM
m-1155	157	347	�	�	PROPN
m-1155	157	348	)	)	PUNCT
m-1155	157	349	�	�	PROPN
m-1155	157	350	�	�	PROPN
m-1155	157	351	�	�	PROPN
m-1155	157	352	�	�	PROPN
m-1155	157	353	�	�	PROPN
m-1155	157	354	�	�	PROPN
m-1155	157	355	�	�	PROPN
m-1155	157	356	�	�	PROPN
m-1155	157	357	�	�	PROPN
m-1155	157	358	�	�	PROPN
m-1155	157	359	�	�	PROPN
m-1155	157	360	�	�	PROPN
m-1155	157	361	�	�	PROPN
m-1155	157	362	−	−	PROPN
m-1155	157	363	�	�	PROPN
m-1155	157	364	�	�	PROPN
m-1155	157	365	�	�	PROPN
m-1155	157	366	+	+	SYM
m-1155	157	367	�	�	PROPN
m-1155	157	368	�	�	PROPN
m-1155	157	369	�	�	PROPN
m-1155	157	370	�	�	PROPN
m-1155	157	371	�	�	PROPN
m-1155	157	372	�	�	PROPN
m-1155	157	373	�	�	PROPN
m-1155	157	374	�	�	PROPN
m-1155	157	375	�	�	PROPN
m-1155	157	376	�	�	PROPN
m-1155	157	377	�	�	PROPN
m-1155	157	378	�	�	PROPN
m-1155	157	379	−	−	PROPN
m-1155	157	380	�	�	PROPN
m-1155	157	381	�	�	PROPN
m-1155	157	382	�	�	PROPN
m-1155	157	383	+	+	SYM
m-1155	157	384	�	�	PROPN
m-1155	157	385	�	�	PROPN
m-1155	157	386	�	�	PROPN
m-1155	157	387	�	�	PROPN
m-1155	157	388	�	�	PROPN
m-1155	157	389	�	�	PROPN
m-1155	157	390	�	�	PROPN
m-1155	157	391	�	�	PROPN
m-1155	157	392	�	�	PROPN
m-1155	157	393	�	�	PROPN
m-1155	157	394	�	�	PROPN
m-1155	157	395	�	�	PROPN
m-1155	157	396	−	−	PROPN
m-1155	157	397	�	�	PROPN
m-1155	157	398	�	�	PROPN
m-1155	157	399	�	�	PROPN
m-1155	157	400	+	+	SYM
m-1155	157	401	�	�	PROPN
m-1155	157	402	�	�	PROPN
m-1155	157	403	�	�	PROPN
m-1155	157	404	�	�	PROPN
m-1155	157	405	�	�	PROPN
m-1155	157	406	�	�	PROPN
m-1155	157	407	�	�	PROPN
m-1155	157	408	�	�	PROPN
m-1155	157	409	�	�	PROPN
m-1155	157	410	�	�	PROPN
m-1155	157	411	�	�	PROPN
m-1155	157	412	�	�	PROPN
m-1155	157	413	−	−	PROPN
m-1155	157	414	�	�	PROPN
m-1155	157	415	�	�	PROPN
m-1155	157	416	�	�	PROPN
m-1155	157	417	−	−	PROPN
m-1155	157	418	(	(	PUNCT
m-1155	157	419	�	�	PROPN
m-1155	157	420	�	�	PROPN
m-1155	157	421	�	�	PROPN
m-1155	157	422	+	+	SYM
m-1155	157	423	�	�	PROPN
m-1155	157	424	�	�	PROPN
m-1155	157	425	(	(	PUNCT
m-1155	157	426	1	1	NUM
m-1155	157	427	−	−	PROPN
m-1155	157	428	�	�	PROPN
m-1155	157	429	)	)	PUNCT
m-1155	157	430	+	+	NUM
m-1155	157	431	�	�	PROPN
m-1155	157	432	)	)	PUNCT
m-1155	157	433	�	�	PROPN
m-1155	157	434	�	�	PROPN
m-1155	157	435	�	�	PROPN
m-1155	157	436	{	{	PUNCT
m-1155	157	437	1	1	NUM
m-1155	157	438	+	+	NUM
m-1155	157	439	�	�	PROPN
m-1155	157	440	(	(	PUNCT
m-1155	157	441	�	�	PROPN
m-1155	157	442	−	−	PROPN
m-1155	157	443	1	1	NUM
m-1155	157	444	)	)	PUNCT
m-1155	157	445	}	}	PUNCT
m-1155	157	446	�	�	PROPN
m-1155	157	447	{	{	PUNCT
m-1155	157	448	1	1	NUM
m-1155	157	449	+	+	NUM
m-1155	157	450	�	�	PROPN
m-1155	157	451	(	(	PUNCT
m-1155	157	452	�	�	PROPN
m-1155	157	453	−	−	PROPN
m-1155	157	454	1	1	NUM
m-1155	157	455	)	)	PUNCT
m-1155	157	456	}	}	PUNCT
m-1155	157	457	(	(	PUNCT
m-1155	157	458	4.13.4	4.13.4	NOUN
m-1155	157	459	)	)	PUNCT
m-1155	157	460	�	�	PROPN
m-1155	157	461	�	�	PROPN
m-1155	157	462	�	�	PROPN
m-1155	157	463	(	(	PUNCT
m-1155	157	464	�	�	PROPN
m-1155	157	465	)	)	PUNCT
m-1155	157	466	=	=	SYM
m-1155	157	467	�	�	PROPN
m-1155	157	468	�	�	PROPN
m-1155	157	469	�	�	PROPN
m-1155	157	470	�	�	PROPN
m-1155	157	471	�	�	PROPN
m-1155	157	472	�	�	PROPN
m-1155	157	473	�	�	PROPN
m-1155	157	474	�	�	PROPN
m-1155	157	475	�	�	PROPN
m-1155	157	476	�	�	PROPN
m-1155	157	477	�	�	PROPN
m-1155	157	478	�	�	PROPN
m-1155	157	479	�	�	PROPN
m-1155	157	480	�	�	PROPN
m-1155	157	481	�	�	PROPN
m-1155	157	482	�	�	PROPN
m-1155	157	483	�	�	PROPN
m-1155	157	484	−	−	PROPN
m-1155	157	485	�	�	PROPN
m-1155	157	486	�	�	PROPN
m-1155	157	487	�	�	PROPN
m-1155	157	488	+	+	SYM
m-1155	157	489	�	�	PROPN
m-1155	157	490	�	�	PROPN
m-1155	157	491	�	�	PROPN
m-1155	157	492	�	�	PROPN
m-1155	157	493	�	�	PROPN
m-1155	157	494	�	�	PROPN
m-1155	157	495	�	�	PROPN
m-1155	157	496	�	�	PROPN
m-1155	157	497	�	�	PROPN
m-1155	157	498	�	�	PROPN
m-1155	157	499	�	�	PROPN
m-1155	157	500	�	�	PROPN
m-1155	157	501	−	−	PROPN
m-1155	157	502	�	�	PROPN
m-1155	157	503	�	�	PROPN
m-1155	157	504	�	�	PROPN
m-1155	157	505	+	+	SYM
m-1155	157	506	�	�	PROPN
m-1155	157	507	�	�	PROPN
m-1155	157	508	�	�	PROPN
m-1155	157	509	�	�	PROPN
m-1155	157	510	�	�	PROPN
m-1155	157	511	�	�	PROPN
m-1155	157	512	�	�	PROPN
m-1155	157	513	�	�	PROPN
m-1155	157	514	�	�	PROPN
m-1155	157	515	�	�	PROPN
m-1155	157	516	�	�	PROPN
m-1155	157	517	�	�	PROPN
m-1155	157	518	−	−	PROPN
m-1155	157	519	�	�	PROPN
m-1155	157	520	�	�	PROPN
m-1155	157	521	�	�	PROPN
m-1155	157	522	+	+	SYM
m-1155	157	523	�	�	PROPN
m-1155	157	524	�	�	PROPN
m-1155	157	525	�	�	PROPN
m-1155	157	526	�	�	PROPN
m-1155	157	527	�	�	PROPN
m-1155	157	528	�	�	PROPN
m-1155	157	529	�	�	PROPN
m-1155	157	530	�	�	PROPN
m-1155	157	531	�	�	PROPN
m-1155	157	532	�	�	PROPN
m-1155	157	533	�	�	PROPN
m-1155	157	534	�	�	PROPN
m-1155	157	535	−	−	PROPN
m-1155	157	536	�	�	PROPN
m-1155	157	537	�	�	PROPN
m-1155	157	538	�	�	PROPN
m-1155	157	539	−	−	PROPN
m-1155	157	540	(	(	PUNCT
m-1155	157	541	�	�	PROPN
m-1155	157	542	�	�	PROPN
m-1155	157	543	�	�	PROPN
m-1155	157	544	+	+	SYM
m-1155	157	545	�	�	PROPN
m-1155	157	546	�	�	PROPN
m-1155	157	547	(	(	PUNCT
m-1155	157	548	1	1	NUM
m-1155	157	549	−	−	PROPN
m-1155	157	550	�	�	PROPN
m-1155	157	551	)	)	PUNCT
m-1155	157	552	+	+	NUM
m-1155	157	553	�	�	PROPN
m-1155	157	554	)	)	PUNCT
m-1155	157	555	�	�	PROPN
m-1155	157	556	�	�	PROPN
m-1155	157	557	�	�	PROPN
m-1155	157	558	−	−	PROPN
m-1155	157	559	(	(	PUNCT
m-1155	157	560	�	�	PROPN
m-1155	157	561	�	�	PROPN
m-1155	157	562	+	+	SYM
m-1155	157	563	�	�	PROPN
m-1155	157	564	�	�	PROPN
m-1155	157	565	+	+	CCONJ
m-1155	157	566	�	�	PROPN
m-1155	157	567	+	+	CCONJ
m-1155	157	568	�	�	PROPN
m-1155	157	569	)	)	PUNCT
m-1155	157	570	{	{	PUNCT
m-1155	157	571	�	�	PROPN
m-1155	157	572	�	�	PROPN
m-1155	157	573	�	�	PROPN
m-1155	157	574	�	�	PROPN
m-1155	157	575	�	�	PROPN
m-1155	157	576	−	−	PROPN
m-1155	157	577	(	(	PUNCT
m-1155	157	578	�	�	PROPN
m-1155	157	579	�	�	PROPN
m-1155	157	580	+	+	SYM
m-1155	157	581	�	�	PROPN
m-1155	157	582	�	�	PROPN
m-1155	157	583	+	+	CCONJ
m-1155	157	584	�	�	PROPN
m-1155	157	585	+	+	CCONJ
m-1155	157	586	�	�	PROPN
m-1155	157	587	)	)	PUNCT
m-1155	157	588	�	�	PROPN
m-1155	157	589	�	�	PROPN
m-1155	157	590	�	�	PROPN
m-1155	157	591	}	}	PUNCT
m-1155	157	592	�	�	PROPN
m-1155	157	593	{	{	PUNCT
m-1155	157	594	1	1	NUM
m-1155	157	595	+	+	NUM
m-1155	157	596	�	�	PROPN
m-1155	157	597	(	(	PUNCT
m-1155	157	598	�	�	PROPN
m-1155	157	599	−	−	PROPN
m-1155	157	600	1)}{1	1)}{1	NUM
m-1155	157	601	+	+	PUNCT
m-1155	157	602	�	�	PROPN
m-1155	157	603	(	(	PUNCT
m-1155	157	604	�	�	PROPN
m-1155	157	605	−	−	PROPN
m-1155	157	606	1	1	NUM
m-1155	157	607	)	)	PUNCT
m-1155	157	608	}	}	PUNCT
m-1155	157	609	(	(	PUNCT
m-1155	157	610	4.13.5	4.13.5	X
m-1155	157	611	)	)	PUNCT
m-1155	157	612	�	�	PROPN
m-1155	157	613	�	�	PROPN
m-1155	157	614	�	�	PROPN
m-1155	157	615	(	(	PUNCT
m-1155	157	616	�	�	PROPN
m-1155	157	617	)	)	PUNCT
m-1155	157	618	=	=	SYM
m-1155	157	619	�	�	PROPN
m-1155	157	620	�	�	PROPN
m-1155	157	621	�	�	PROPN
m-1155	157	622	(	(	PUNCT
m-1155	157	623	1	1	NUM
m-1155	157	624	−	−	PROPN
m-1155	157	625	�	�	PROPN
m-1155	157	626	)	)	PUNCT
m-1155	157	627	�	�	PROPN
m-1155	157	628	�	�	PROPN
m-1155	157	629	�	�	PROPN
m-1155	157	630	�	�	PROPN
m-1155	157	631	�	�	PROPN
m-1155	157	632	�	�	PROPN
m-1155	157	633	�	�	PROPN
m-1155	157	634	�	�	PROPN
m-1155	157	635	�	�	PROPN
m-1155	157	636	�	�	PROPN
m-1155	157	637	�	�	PROPN
m-1155	157	638	�	�	PROPN
m-1155	157	639	�	�	PROPN
m-1155	157	640	−	−	PROPN
m-1155	157	641	�	�	PROPN
m-1155	157	642	�	�	PROPN
m-1155	157	643	�	�	PROPN
m-1155	157	644	+	+	SYM
m-1155	157	645	�	�	PROPN
m-1155	157	646	�	�	PROPN
m-1155	157	647	�	�	PROPN
m-1155	157	648	�	�	PROPN
m-1155	157	649	�	�	PROPN
m-1155	157	650	�	�	PROPN
m-1155	157	651	�	�	PROPN
m-1155	157	652	�	�	PROPN
m-1155	157	653	�	�	PROPN
m-1155	157	654	�	�	PROPN
m-1155	157	655	�	�	PROPN
m-1155	157	656	�	�	PROPN
m-1155	157	657	−	−	PROPN
m-1155	157	658	�	�	PROPN
m-1155	157	659	�	�	PROPN
m-1155	157	660	�	�	PROPN
m-1155	157	661	+	+	SYM
m-1155	157	662	�	�	PROPN
m-1155	157	663	�	�	PROPN
m-1155	157	664	�	�	PROPN
m-1155	157	665	�	�	PROPN
m-1155	157	666	�	�	PROPN
m-1155	157	667	�	�	PROPN
m-1155	157	668	�	�	PROPN
m-1155	157	669	�	�	PROPN
m-1155	157	670	�	�	PROPN
m-1155	157	671	�	�	PROPN
m-1155	157	672	�	�	PROPN
m-1155	157	673	�	�	PROPN
m-1155	157	674	−	−	PROPN
m-1155	157	675	�	�	PROPN
m-1155	157	676	�	�	PROPN
m-1155	157	677	�	�	PROPN
m-1155	157	678	+	+	SYM
m-1155	157	679	�	�	PROPN
m-1155	157	680	�	�	PROPN
m-1155	157	681	�	�	PROPN
m-1155	157	682	�	�	PROPN
m-1155	157	683	�	�	PROPN
m-1155	157	684	�	�	PROPN
m-1155	157	685	�	�	PROPN
m-1155	157	686	�	�	PROPN
m-1155	157	687	�	�	PROPN
m-1155	157	688	�	�	PROPN
m-1155	157	689	�	�	PROPN
m-1155	157	690	�	�	PROPN
m-1155	157	691	−	−	PROPN
m-1155	157	692	�	�	PROPN
m-1155	157	693	�	�	PROPN
m-1155	157	694	�	�	PROPN
m-1155	157	695	−	−	PROPN
m-1155	157	696	(	(	PUNCT
m-1155	157	697	�	�	PROPN
m-1155	157	698	�	�	PROPN
m-1155	157	699	�	�	PROPN
m-1155	157	700	+	+	SYM
m-1155	157	701	�	�	PROPN
m-1155	157	702	�	�	PROPN
m-1155	157	703	(	(	PUNCT
m-1155	157	704	1	1	NUM
m-1155	157	705	−	−	PROPN
m-1155	157	706	�	�	PROPN
m-1155	157	707	)	)	PUNCT
m-1155	157	708	+	+	NUM
m-1155	157	709	�	�	PROPN
m-1155	157	710	)	)	PUNCT
m-1155	157	711	�	�	PROPN
m-1155	157	712	�	�	PROPN
m-1155	157	713	�	�	PROPN
m-1155	157	714	−	−	PROPN
m-1155	157	715	(	(	PUNCT
m-1155	157	716	�	�	PROPN
m-1155	157	717	�	�	PROPN
m-1155	157	718	+	+	SYM
m-1155	157	719	�	�	PROPN
m-1155	157	720	�	�	PROPN
m-1155	157	721	+	+	CCONJ
m-1155	157	722	�	�	PROPN
m-1155	157	723	+	+	CCONJ
m-1155	157	724	�	�	PROPN
m-1155	157	725	)	)	PUNCT
m-1155	157	726	{	{	PUNCT
m-1155	157	727	�	�	PROPN
m-1155	157	728	�	�	PROPN
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m-1155	157	730	�	�	PROPN
m-1155	157	731	�	�	PROPN
m-1155	157	732	−	−	PROPN
m-1155	157	733	(	(	PUNCT
m-1155	157	734	�	�	PROPN
m-1155	157	735	�	�	PROPN
m-1155	157	736	+	+	SYM
m-1155	157	737	�	�	PROPN
m-1155	157	738	�	�	PROPN
m-1155	157	739	+	+	CCONJ
m-1155	157	740	�	�	PROPN
m-1155	157	741	+	+	CCONJ
m-1155	157	742	�	�	PROPN
m-1155	157	743	)	)	PUNCT
m-1155	157	744	�	�	PROPN
m-1155	157	745	�	�	PROPN
m-1155	157	746	�	�	PROPN
m-1155	157	747	}	}	PUNCT
m-1155	157	748	�	�	PROPN
m-1155	157	749	{	{	PUNCT
m-1155	157	750	1	1	NUM
m-1155	157	751	+	+	NUM
m-1155	157	752	�	�	PROPN
m-1155	157	753	(	(	PUNCT
m-1155	157	754	�	�	PROPN
m-1155	157	755	−	−	PROPN
m-1155	157	756	1)}{1	1)}{1	NUM
m-1155	157	757	+	+	PUNCT
m-1155	157	758	�	�	PROPN
m-1155	157	759	(	(	PUNCT
m-1155	157	760	�	�	PROPN
m-1155	157	761	−	−	PROPN
m-1155	157	762	1	1	NUM
m-1155	157	763	)	)	PUNCT
m-1155	157	764	}	}	PUNCT
m-1155	157	765	(	(	PUNCT
m-1155	157	766	4.13.6	4.13.6	NUM
m-1155	157	767	)	)	PUNCT
m-1155	157	768	ijo	ijo	PROPN
m-1155	157	769	journals	journal	NOUN
m-1155	157	770	volume	volume	NOUN
m-1155	157	771	08	08	NUM
m-1155	158	1	|	|	ADV
m-1155	158	2	issue	issue	NOUN
m-1155	158	3	09	09	NUM
m-1155	158	4	|	|	ADV
m-1155	158	5	september	september	PROPN
m-1155	158	6	2025	2025	NUM
m-1155	158	7	|	|	ADV
m-1155	158	8	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-1155	158	9	62	62	NUM
m-1155	158	10	ijo	ijo	PROPN
m-1155	158	11	international	international	PROPN
m-1155	158	12	journal	journal	PROPN
m-1155	158	13	of	of	ADP
m-1155	158	14	mathematics	mathematics	PROPN
m-1155	158	15	(	(	PUNCT
m-1155	158	16	issn	issn	PROPN
m-1155	158	17	:	:	PUNCT
m-1155	158	18	2992	2992	NUM
m-1155	158	19	-	-	SYM
m-1155	158	20	4421	4421	NUM
m-1155	158	21	)	)	PUNCT
m-1155	158	22	thomas	thomas	PROPN
m-1155	158	23	,	,	PUNCT
m-1155	159	1	henry	henry	PROPN
m-1155	159	2	sylvester	sylvester	PROPN
m-1155	159	3	*	*	PUNCT
m-1155	159	4	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-1155	159	5	volume	volume	NOUN
m-1155	159	6	08	08	NUM
m-1155	159	7	||	||	PROPN
m-1155	159	8	issue	issue	NOUN
m-1155	159	9	09	09	NUM
m-1155	159	10	||	||	NOUN
m-1155	159	11	september	september	PROPN
m-1155	159	12	,	,	PUNCT
m-1155	159	13	2025	2025	NUM
m-1155	159	14	||	||	PUNCT
m-1155	160	1	“	"	PUNCT
m-1155	160	2	caputo	caputo	PROPN
m-1155	160	3	-	-	PUNCT
m-1155	160	4	fabrizio	fabrizio	PROPN
m-1155	160	5	fractional	fractional	ADJ
m-1155	160	6	drivatives	drivative	NOUN
m-1155	160	7	of	of	ADP
m-1155	160	8	age	age	NOUN
m-1155	160	9	-	-	PUNCT
m-1155	160	10	structured	structure	VERB
m-1155	160	11	dipptheria	dipptheria	NOUN
m-1155	160	12	infection	infection	NOUN
m-1155	160	13	model	model	NOUN
m-1155	160	14	with	with	ADP
m-1155	160	15	laplace	laplace	NOUN
m-1155	160	16	adomian	adomian	NOUN
m-1155	160	17	decomposition	decomposition	NOUN
m-1155	160	18	analysis	analysis	NOUN
m-1155	160	19	"	"	PUNCT
m-1155	160	20	�	�	PROPN
m-1155	160	21	�	�	PROPN
m-1155	160	22	�	�	PROPN
m-1155	160	23	(	(	PUNCT
m-1155	160	24	�	�	PROPN
m-1155	160	25	)	)	PUNCT
m-1155	160	26	=	=	SYM
m-1155	160	27	�	�	PROPN
m-1155	160	28	�	�	PROPN
m-1155	160	29	�	�	PROPN
m-1155	160	30	{	{	PUNCT
m-1155	160	31	�	�	PROPN
m-1155	160	32	�	�	PROPN
m-1155	160	33	�	�	PROPN
m-1155	160	34	�	�	PROPN
m-1155	160	35	�	�	PROPN
m-1155	160	36	−	−	PROPN
m-1155	160	37	(	(	PUNCT
m-1155	160	38	�	�	PROPN
m-1155	160	39	�	�	PROPN
m-1155	160	40	+	+	SYM
m-1155	160	41	�	�	PROPN
m-1155	160	42	�	�	PROPN
m-1155	160	43	+	+	CCONJ
m-1155	160	44	�	�	PROPN
m-1155	160	45	+	+	CCONJ
m-1155	160	46	�	�	PROPN
m-1155	160	47	)	)	PUNCT
m-1155	160	48	�	�	PROPN
m-1155	160	49	�	�	PROPN
m-1155	160	50	�	�	PROPN
m-1155	160	51	}	}	PUNCT
m-1155	160	52	{	{	PUNCT
m-1155	160	53	1	1	NUM
m-1155	160	54	+	+	NUM
m-1155	160	55	�	�	PROPN
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m-1155	160	57	�	�	PROPN
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m-1155	160	59	1	1	NUM
m-1155	160	60	)	)	PUNCT
m-1155	160	61	}	}	PUNCT
m-1155	160	62	+	+	CCONJ
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m-1155	160	66	�	�	PROPN
m-1155	160	67	�	�	PROPN
m-1155	160	68	(	(	PUNCT
m-1155	160	69	1	1	NUM
m-1155	160	70	−	−	PROPN
m-1155	160	71	�	�	SYM
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m-1155	160	73	�	�	PROPN
m-1155	160	74	�	�	PROPN
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m-1155	160	77	�	�	PROPN
m-1155	160	78	�	�	PROPN
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m-1155	160	80	�	�	PROPN
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m-1155	160	82	+	+	CCONJ
m-1155	160	83	�	�	PROPN
m-1155	160	84	+	+	CCONJ
m-1155	160	85	�	�	PROPN
m-1155	160	86	)	)	PUNCT
m-1155	160	87	�	�	PROPN
m-1155	160	88	�	�	PROPN
m-1155	160	89	�	�	PROPN
m-1155	160	90	}	}	PUNCT
m-1155	160	91	{	{	PUNCT
m-1155	160	92	1	1	NUM
m-1155	160	93	+	+	NUM
m-1155	160	94	�	�	PROPN
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m-1155	160	96	�	�	PROPN
m-1155	160	97	−	−	PROPN
m-1155	160	98	1	1	NUM
m-1155	160	99	)	)	PUNCT
m-1155	160	100	}	}	PUNCT
m-1155	160	101	−	−	PROPN
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m-1155	160	103	�	�	PROPN
m-1155	160	104	�	�	PROPN
m-1155	160	105	+	+	CCONJ
m-1155	160	106	�	�	PROPN
m-1155	160	107	+	+	CCONJ
m-1155	160	108	�	�	PROPN
m-1155	160	109	)	)	PUNCT
m-1155	160	110	{	{	PUNCT
m-1155	160	111	�	�	PROPN
m-1155	160	112	�	�	PROPN
m-1155	160	113	�	�	PROPN
m-1155	160	114	�	�	PROPN
m-1155	160	115	�	�	PROPN
m-1155	160	116	+	+	SYM
m-1155	160	117	�	�	PROPN
m-1155	160	118	�	�	PROPN
m-1155	160	119	�	�	PROPN
m-1155	160	120	�	�	PROPN
m-1155	160	121	�	�	PROPN
m-1155	160	122	−	−	PROPN
m-1155	160	123	(	(	PUNCT
m-1155	160	124	�	�	PROPN
m-1155	160	125	�	�	PROPN
m-1155	160	126	+	+	CCONJ
m-1155	160	127	�	�	PROPN
m-1155	160	128	+	+	CCONJ
m-1155	160	129	�	�	PROPN
m-1155	160	130	)	)	PUNCT
m-1155	160	131	�	�	PROPN
m-1155	160	132	�	�	PROPN
m-1155	160	133	�	�	PROPN
m-1155	160	134	}	}	PUNCT
m-1155	160	135	�	�	PROPN
m-1155	160	136	�	�	PROPN
m-1155	160	137	�	�	PROPN
m-1155	160	138	(	(	PUNCT
m-1155	160	139	�	�	PROPN
m-1155	160	140	)	)	PUNCT
m-1155	160	141	=	=	SYM
m-1155	160	142	�	�	PROPN
m-1155	160	143	�	�	PROPN
m-1155	160	144	�	�	PROPN
m-1155	160	145	{	{	PUNCT
m-1155	160	146	�	�	PROPN
m-1155	160	147	�	�	PROPN
m-1155	160	148	�	�	PROPN
m-1155	160	149	�	�	PROPN
m-1155	160	150	�	�	PROPN
m-1155	160	151	−	−	PROPN
m-1155	160	152	(	(	PUNCT
m-1155	160	153	�	�	PROPN
m-1155	160	154	�	�	PROPN
m-1155	160	155	+	+	SYM
m-1155	160	156	�	�	PROPN
m-1155	160	157	�	�	PROPN
m-1155	160	158	+	+	CCONJ
m-1155	160	159	�	�	PROPN
m-1155	160	160	+	+	CCONJ
m-1155	160	161	�	�	PROPN
m-1155	160	162	)	)	PUNCT
m-1155	160	163	�	�	PROPN
m-1155	160	164	�	�	PROPN
m-1155	160	165	�	�	PROPN
m-1155	160	166	}	}	PUNCT
m-1155	160	167	+	+	NUM
m-1155	160	168	�	�	PROPN
m-1155	160	169	�	�	PROPN
m-1155	160	170	{	{	SYM
m-1155	160	171	�	�	PROPN
m-1155	160	172	�	�	PROPN
m-1155	160	173	(	(	PUNCT
m-1155	160	174	1	1	NUM
m-1155	160	175	−	−	PROPN
m-1155	160	176	�	�	SYM
m-1155	160	177	)	)	PUNCT
m-1155	160	178	�	�	PROPN
m-1155	160	179	�	�	PROPN
m-1155	160	180	−	−	PROPN
m-1155	160	181	(	(	PUNCT
m-1155	160	182	�	�	PROPN
m-1155	160	183	�	�	PROPN
m-1155	160	184	+	+	SYM
m-1155	160	185	�	�	PROPN
m-1155	160	186	�	�	PROPN
m-1155	160	187	+	+	CCONJ
m-1155	160	188	�	�	PROPN
m-1155	160	189	+	+	CCONJ
m-1155	160	190	�	�	PROPN
m-1155	160	191	)	)	PUNCT
m-1155	160	192	�	�	PROPN
m-1155	160	193	�	�	PROPN
m-1155	160	194	�	�	PROPN
m-1155	160	195	}	}	PUNCT
m-1155	160	196	+	+	NUM
m-1155	160	197	�	�	PROPN
m-1155	160	198	�	�	PROPN
m-1155	160	199	{	{	PUNCT
m-1155	160	200	�	�	PROPN
m-1155	160	201	�	�	PROPN
m-1155	160	202	�	�	PROPN
m-1155	160	203	�	�	PROPN
m-1155	160	204	�	�	PROPN
m-1155	160	205	+	+	SYM
m-1155	160	206	�	�	PROPN
m-1155	160	207	�	�	PROPN
m-1155	160	208	�	�	PROPN
m-1155	160	209	�	�	PROPN
m-1155	160	210	�	�	PROPN
m-1155	160	211	−	−	PROPN
m-1155	160	212	(	(	PUNCT
m-1155	160	213	�	�	PROPN
m-1155	160	214	�	�	PROPN
m-1155	160	215	+	+	CCONJ
m-1155	160	216	�	�	PROPN
m-1155	160	217	+	+	CCONJ
m-1155	160	218	�	�	PROPN
m-1155	160	219	)	)	PUNCT
m-1155	160	220	�	�	PROPN
m-1155	160	221	�	�	PROPN
m-1155	160	222	�	�	PROPN
m-1155	160	223	}	}	PUNCT
m-1155	160	224	−	−	PROPN
m-1155	160	225	�	�	PROPN
m-1155	160	226	{	{	PUNCT
m-1155	160	227	�	�	PROPN
m-1155	160	228	�	�	PROPN
m-1155	160	229	�	�	PROPN
m-1155	160	230	�	�	PROPN
m-1155	160	231	�	�	PROPN
m-1155	160	232	+	+	SYM
m-1155	160	233	�	�	PROPN
m-1155	160	234	�	�	PROPN
m-1155	160	235	�	�	PROPN
m-1155	160	236	�	�	PROPN
m-1155	160	237	�	�	PROPN
m-1155	160	238	+	+	SYM
m-1155	160	239	�	�	PROPN
m-1155	160	240	�	�	PROPN
m-1155	160	241	�	�	PROPN
m-1155	160	242	�	�	PROPN
m-1155	160	243	�	�	PROPN
m-1155	160	244	−	−	PROPN
m-1155	160	245	�	�	PROPN
m-1155	160	246	�	�	PROPN
m-1155	160	247	�	�	PROPN
m-1155	160	248	}	}	PUNCT
m-1155	160	249	�	�	PROPN
m-1155	160	250	{	{	PUNCT
m-1155	160	251	1	1	NUM
m-1155	160	252	+	+	NUM
m-1155	160	253	�	�	PROPN
m-1155	160	254	(	(	PUNCT
m-1155	160	255	�	�	PROPN
m-1155	160	256	−	−	PROPN
m-1155	160	257	1)}{1	1)}{1	NUM
m-1155	160	258	+	+	PUNCT
m-1155	160	259	�	�	PROPN
m-1155	160	260	(	(	PUNCT
m-1155	160	261	�	�	PROPN
m-1155	160	262	−	−	PROPN
m-1155	160	263	1	1	NUM
m-1155	160	264	)	)	PUNCT
m-1155	160	265	}	}	PUNCT
m-1155	160	266	(	(	PUNCT
m-1155	160	267	4.13	4.13	NUM
m-1155	160	268	.	.	PUNCT
m-1155	161	1	8)	8)	NUM
m-1155	161	2	hence	hence	ADV
m-1155	161	3	the	the	DET
m-1155	161	4	required	require	VERB
m-1155	161	5	solution	solution	NOUN
m-1155	161	6	�	�	PROPN
m-1155	161	7	�	�	PROPN
m-1155	161	8	(	(	PUNCT
m-1155	161	9	�	�	PROPN
m-1155	161	10	)	)	PUNCT
m-1155	161	11	=	=	SYM
m-1155	161	12	�	�	PROPN
m-1155	161	13	�	�	PROPN
m-1155	161	14	�	�	PROPN
m-1155	161	15	(	(	PUNCT
m-1155	161	16	�	�	PROPN
m-1155	161	17	)	)	PUNCT
m-1155	161	18	+	+	SYM
m-1155	161	19	�	�	PROPN
m-1155	161	20	�	�	PROPN
m-1155	161	21	�	�	PROPN
m-1155	161	22	(	(	PUNCT
m-1155	161	23	�	�	PROPN
m-1155	161	24	)	)	PUNCT
m-1155	161	25	+	+	SYM
m-1155	161	26	�	�	PROPN
m-1155	161	27	�	�	PROPN
m-1155	161	28	�	�	PROPN
m-1155	161	29	(	(	PUNCT
m-1155	161	30	�	�	PROPN
m-1155	161	31	)	)	PUNCT
m-1155	161	32	+	+	CCONJ
m-1155	161	33	.	.	PUNCT
m-1155	161	34	.	.	PUNCT
m-1155	161	35	.	.	PUNCT
m-1155	162	1	�	�	PROPN
m-1155	162	2	�	�	PROPN
m-1155	162	3	(	(	PUNCT
m-1155	162	4	�	�	PROPN
m-1155	162	5	)	)	PUNCT
m-1155	162	6	=	=	SYM
m-1155	162	7	�	�	PROPN
m-1155	162	8	�	�	PROPN
m-1155	162	9	�	�	PROPN
m-1155	162	10	(	(	PUNCT
m-1155	162	11	�	�	PROPN
m-1155	162	12	)	)	PUNCT
m-1155	162	13	+	+	SYM
m-1155	162	14	�	�	PROPN
m-1155	162	15	�	�	PROPN
m-1155	162	16	�	�	PROPN
m-1155	162	17	(	(	PUNCT
m-1155	162	18	�	�	PROPN
m-1155	162	19	)	)	PUNCT
m-1155	162	20	+	+	SYM
m-1155	162	21	�	�	PROPN
m-1155	162	22	�	�	PROPN
m-1155	162	23	�	�	PROPN
m-1155	162	24	(	(	PUNCT
m-1155	162	25	�	�	PROPN
m-1155	162	26	)	)	PUNCT
m-1155	162	27	+	+	CCONJ
m-1155	162	28	.	.	PUNCT
m-1155	162	29	.	.	PUNCT
m-1155	162	30	.	.	PUNCT
m-1155	163	1	�	�	PROPN
m-1155	163	2	(	(	PUNCT
m-1155	163	3	�	�	PROPN
m-1155	163	4	)	)	PUNCT
m-1155	163	5	=	=	SYM
m-1155	163	6	�	�	PROPN
m-1155	163	7	�	�	PROPN
m-1155	163	8	(	(	PUNCT
m-1155	163	9	�	�	PROPN
m-1155	163	10	)	)	PUNCT
m-1155	163	11	+	+	SYM
m-1155	163	12	�	�	PROPN
m-1155	163	13	�	�	PROPN
m-1155	163	14	(	(	PUNCT
m-1155	163	15	�	�	PROPN
m-1155	163	16	)	)	PUNCT
m-1155	163	17	+	+	SYM
m-1155	163	18	�	�	PROPN
m-1155	163	19	�	�	PROPN
m-1155	163	20	(	(	PUNCT
m-1155	163	21	�	�	PROPN
m-1155	163	22	)	)	PUNCT
m-1155	163	23	+	+	CCONJ
m-1155	163	24	.	.	PUNCT
m-1155	163	25	.	.	PUNCT
m-1155	163	26	.	.	PUNCT
m-1155	164	1	�	�	PROPN
m-1155	164	2	(	(	PUNCT
m-1155	164	3	�	�	PROPN
m-1155	164	4	)	)	PUNCT
m-1155	164	5	=	=	SYM
m-1155	164	6	�	�	PROPN
m-1155	164	7	�	�	PROPN
m-1155	164	8	(	(	PUNCT
m-1155	164	9	�	�	PROPN
m-1155	164	10	)	)	PUNCT
m-1155	164	11	+	+	SYM
m-1155	164	12	�	�	PROPN
m-1155	164	13	�	�	PROPN
m-1155	164	14	(	(	PUNCT
m-1155	164	15	�	�	PROPN
m-1155	164	16	)	)	PUNCT
m-1155	164	17	+	+	SYM
m-1155	164	18	�	�	PROPN
m-1155	164	19	�	�	PROPN
m-1155	164	20	(	(	PUNCT
m-1155	164	21	�	�	PROPN
m-1155	164	22	)	)	PUNCT
m-1155	164	23	+	+	CCONJ
m-1155	164	24	.	.	PUNCT
m-1155	164	25	.	.	PUNCT
m-1155	164	26	.	.	PUNCT
m-1155	165	1	�	�	PROPN
m-1155	165	2	�	�	PROPN
m-1155	165	3	(	(	PUNCT
m-1155	165	4	�	�	PROPN
m-1155	165	5	)	)	PUNCT
m-1155	165	6	=	=	SYM
m-1155	165	7	�	�	PROPN
m-1155	165	8	�	�	PROPN
m-1155	165	9	�	�	PROPN
m-1155	165	10	(	(	PUNCT
m-1155	165	11	�	�	PROPN
m-1155	165	12	)	)	PUNCT
m-1155	165	13	+	+	SYM
m-1155	165	14	�	�	PROPN
m-1155	165	15	�	�	PROPN
m-1155	165	16	�	�	PROPN
m-1155	165	17	(	(	PUNCT
m-1155	165	18	�	�	PROPN
m-1155	165	19	)	)	PUNCT
m-1155	165	20	+	+	SYM
m-1155	165	21	�	�	PROPN
m-1155	165	22	�	�	PROPN
m-1155	165	23	�	�	PROPN
m-1155	165	24	(	(	PUNCT
m-1155	165	25	�	�	PROPN
m-1155	165	26	)	)	PUNCT
m-1155	165	27	+	+	CCONJ
m-1155	165	28	.	.	PUNCT
m-1155	165	29	.	.	PUNCT
m-1155	165	30	.	.	PUNCT
m-1155	166	1	�	�	PROPN
m-1155	166	2	�	�	PROPN
m-1155	166	3	(	(	PUNCT
m-1155	166	4	�	�	PROPN
m-1155	166	5	)	)	PUNCT
m-1155	166	6	=	=	SYM
m-1155	166	7	�	�	PROPN
m-1155	166	8	�	�	PROPN
m-1155	166	9	�	�	PROPN
m-1155	166	10	(	(	PUNCT
m-1155	166	11	�	�	PROPN
m-1155	166	12	)	)	PUNCT
m-1155	166	13	+	+	SYM
m-1155	166	14	�	�	PROPN
m-1155	166	15	�	�	PROPN
m-1155	166	16	�	�	PROPN
m-1155	166	17	(	(	PUNCT
m-1155	166	18	�	�	PROPN
m-1155	166	19	)	)	PUNCT
m-1155	166	20	+	+	SYM
m-1155	166	21	�	�	PROPN
m-1155	166	22	�	�	PROPN
m-1155	166	23	�	�	PROPN
m-1155	166	24	(	(	PUNCT
m-1155	166	25	�	�	PROPN
m-1155	166	26	)	)	PUNCT
m-1155	166	27	+	+	CCONJ
m-1155	166	28	.	.	PUNCT
m-1155	166	29	.	.	PUNCT
m-1155	166	30	.	.	PUNCT
m-1155	167	1	�	�	PROPN
m-1155	167	2	�	�	PROPN
m-1155	167	3	(	(	PUNCT
m-1155	167	4	�	�	PROPN
m-1155	167	5	)	)	PUNCT
m-1155	167	6	=	=	SYM
m-1155	167	7	�	�	PROPN
m-1155	167	8	�	�	PROPN
m-1155	167	9	�	�	PROPN
m-1155	167	10	(	(	PUNCT
m-1155	167	11	�	�	PROPN
m-1155	167	12	)	)	PUNCT
m-1155	167	13	+	+	SYM
m-1155	167	14	�	�	PROPN
m-1155	167	15	�	�	PROPN
m-1155	167	16	�	�	PROPN
m-1155	167	17	(	(	PUNCT
m-1155	167	18	�	�	PROPN
m-1155	167	19	)	)	PUNCT
m-1155	167	20	+	+	SYM
m-1155	167	21	�	�	PROPN
m-1155	167	22	�	�	PROPN
m-1155	167	23	�	�	PROPN
m-1155	167	24	(	(	PUNCT
m-1155	167	25	�	�	PROPN
m-1155	167	26	)	)	PUNCT
m-1155	167	27	+	+	CCONJ
m-1155	167	28	.	.	PUNCT
m-1155	167	29	.	.	PUNCT
m-1155	167	30	.	.	PUNCT
m-1155	168	1	�	�	PROPN
m-1155	168	2	(	(	PUNCT
m-1155	168	3	�	�	PROPN
m-1155	168	4	)	)	PUNCT
m-1155	168	5	=	=	SYM
m-1155	168	6	�	�	PROPN
m-1155	168	7	�	�	PROPN
m-1155	168	8	(	(	PUNCT
m-1155	168	9	�	�	PROPN
m-1155	168	10	)	)	PUNCT
m-1155	168	11	+	+	SYM
m-1155	168	12	�	�	PROPN
m-1155	168	13	�	�	PROPN
m-1155	168	14	(	(	PUNCT
m-1155	168	15	�	�	PROPN
m-1155	168	16	)	)	PUNCT
m-1155	168	17	+	+	SYM
m-1155	168	18	�	�	PROPN
m-1155	168	19	�	�	PROPN
m-1155	168	20	(	(	PUNCT
m-1155	168	21	�	�	PROPN
m-1155	168	22	)	)	PUNCT
m-1155	168	23	+	+	CCONJ
m-1155	168	24	.	.	PUNCT
m-1155	168	25	.	.	PUNCT
m-1155	168	26	.	.	PUNCT
m-1155	169	1	summary	summary	NOUN
m-1155	169	2	diphtheria	diphtheria	NOUN
m-1155	169	3	remains	remain	VERB
m-1155	169	4	a	a	DET
m-1155	169	5	re	re	ADJ
m-1155	169	6	-	-	ADJ
m-1155	169	7	emerging	emerge	VERB
m-1155	169	8	public	public	ADJ
m-1155	169	9	health	health	NOUN
m-1155	169	10	concern	concern	NOUN
m-1155	169	11	despite	despite	SCONJ
m-1155	169	12	vaccination	vaccination	NOUN
m-1155	169	13	programs	program	NOUN
m-1155	169	14	,	,	PUNCT
m-1155	169	15	with	with	ADP
m-1155	169	16	children	child	NOUN
m-1155	169	17	and	and	CCONJ
m-1155	169	18	adults	adult	NOUN
m-1155	169	19	exhibiting	exhibit	VERB
m-1155	169	20	different	different	ADJ
m-1155	169	21	levels	level	NOUN
m-1155	169	22	of	of	ADP
m-1155	169	23	susceptibility	susceptibility	NOUN
m-1155	169	24	and	and	CCONJ
m-1155	169	25	transmission	transmission	NOUN
m-1155	169	26	potential	potential	NOUN
m-1155	169	27	.	.	PUNCT
m-1155	170	1	classical	classical	ADJ
m-1155	170	2	integer	integer	NOUN
m-1155	170	3	-	-	PUNCT
m-1155	170	4	order	order	NOUN
m-1155	170	5	models	model	NOUN
m-1155	170	6	often	often	ADV
m-1155	170	7	fail	fail	VERB
m-1155	170	8	to	to	PART
m-1155	170	9	capture	capture	VERB
m-1155	170	10	the	the	DET
m-1155	170	11	memory	memory	NOUN
m-1155	170	12	effects	effect	NOUN
m-1155	170	13	inherent	inherent	ADJ
m-1155	170	14	in	in	ADP
m-1155	170	15	disease	disease	NOUN
m-1155	170	16	transmission	transmission	NOUN
m-1155	170	17	,	,	PUNCT
m-1155	170	18	such	such	ADJ
m-1155	170	19	as	as	ADP
m-1155	170	20	waning	wane	VERB
m-1155	170	21	immunity	immunity	NOUN
m-1155	170	22	and	and	CCONJ
m-1155	170	23	delayed	delay	VERB
m-1155	170	24	intervention	intervention	NOUN
m-1155	170	25	impact	impact	NOUN
m-1155	170	26	,	,	PUNCT
m-1155	170	27	and	and	CCONJ
m-1155	170	28	few	few	ADJ
m-1155	170	29	models	model	NOUN
m-1155	170	30	incorporate	incorporate	VERB
m-1155	170	31	age	age	NOUN
m-1155	170	32	structure	structure	NOUN
m-1155	170	33	,	,	PUNCT
m-1155	170	34	which	which	PRON
m-1155	170	35	is	be	AUX
m-1155	170	36	crucial	crucial	ADJ
m-1155	170	37	for	for	ADP
m-1155	170	38	diphtheria	diphtheria	NOUN
m-1155	170	39	dynamics	dynamic	NOUN
m-1155	170	40	.	.	PUNCT
m-1155	171	1	motivated	motivate	VERB
m-1155	171	2	by	by	ADP
m-1155	171	3	these	these	DET
m-1155	171	4	limitations	limitation	NOUN
m-1155	171	5	,	,	PUNCT
m-1155	171	6	this	this	DET
m-1155	171	7	study	study	NOUN
m-1155	171	8	develops	develop	VERB
m-1155	171	9	a	a	DET
m-1155	171	10	novel	novel	ADJ
m-1155	171	11	age	age	NOUN
m-1155	171	12	-	-	PUNCT
m-1155	171	13	structured	structure	VERB
m-1155	171	14	fractional	fractional	ADJ
m-1155	171	15	-	-	PUNCT
m-1155	171	16	order	order	NOUN
m-1155	171	17	model	model	NOUN
m-1155	171	18	of	of	ADP
m-1155	171	19	diphtheria	diphtheria	NOUN
m-1155	171	20	using	use	VERB
m-1155	171	21	the	the	DET
m-1155	171	22	caputo	caputo	PROPN
m-1155	171	23	–	–	PUNCT
m-1155	171	24	fabrizio	fabrizio	PROPN
m-1155	171	25	derivative	derivative	NOUN
m-1155	171	26	,	,	PUNCT
m-1155	171	27	which	which	PRON
m-1155	171	28	accounts	account	VERB
m-1155	171	29	for	for	ADP
m-1155	171	30	non	non	ADJ
m-1155	171	31	-	-	ADJ
m-1155	171	32	locality	locality	ADJ
m-1155	171	33	and	and	CCONJ
m-1155	171	34	memory	memory	NOUN
m-1155	171	35	effects	effect	NOUN
m-1155	171	36	in	in	ADP
m-1155	171	37	disease	disease	NOUN
m-1155	171	38	spread	spread	VERB
m-1155	171	39	.	.	PUNCT
m-1155	172	1	the	the	DET
m-1155	172	2	model	model	NOUN
m-1155	172	3	stratifies	stratify	VERB
m-1155	172	4	the	the	DET
m-1155	172	5	population	population	NOUN
m-1155	172	6	into	into	ADP
m-1155	172	7	susceptible	susceptible	ADJ
m-1155	172	8	children	child	NOUN
m-1155	172	9	,	,	PUNCT
m-1155	172	10	susceptible	susceptible	ADJ
m-1155	172	11	adults	adult	NOUN
m-1155	172	12	,	,	PUNCT
m-1155	172	13	vaccinated	vaccinate	VERB
m-1155	172	14	,	,	PUNCT
m-1155	172	15	exposed	expose	VERB
m-1155	172	16	,	,	PUNCT
m-1155	172	17	infectious	infectious	ADJ
m-1155	172	18	children	child	NOUN
m-1155	172	19	,	,	PUNCT
m-1155	172	20	infectious	infectious	ADJ
m-1155	172	21	adults	adult	NOUN
m-1155	172	22	,	,	PUNCT
m-1155	172	23	isolated	isolate	VERB
m-1155	172	24	infectious	infectious	ADJ
m-1155	172	25	,	,	PUNCT
m-1155	172	26	and	and	CCONJ
m-1155	172	27	recovered	recover	VERB
m-1155	172	28	individuals	individual	NOUN
m-1155	172	29	.	.	PUNCT
m-1155	173	1	rigorous	rigorous	ADJ
m-1155	173	2	analysis	analysis	NOUN
m-1155	173	3	establishes	establish	VERB
m-1155	173	4	the	the	DET
m-1155	173	5	existence	existence	NOUN
m-1155	173	6	and	and	CCONJ
m-1155	173	7	uniqueness	uniqueness	NOUN
m-1155	173	8	of	of	ADP
m-1155	173	9	solutions	solution	NOUN
m-1155	173	10	via	via	ADP
m-1155	173	11	the	the	DET
m-1155	173	12	contraction	contraction	NOUN
m-1155	173	13	mapping	mapping	NOUN
m-1155	173	14	principle	principle	NOUN
m-1155	173	15	and	and	CCONJ
m-1155	173	16	proves	prove	VERB
m-1155	173	17	ulam	ulam	NOUN
m-1155	173	18	–	–	PUNCT
m-1155	173	19	hyers	hyers	PROPN
m-1155	173	20	ijo	ijo	PROPN
m-1155	173	21	journals	journal	NOUN
m-1155	173	22	volume	volume	NOUN
m-1155	173	23	08	08	NUM
m-1155	174	1	|	|	ADV
m-1155	174	2	issue	issue	NOUN
m-1155	174	3	09	09	NUM
m-1155	174	4	|	|	ADV
m-1155	174	5	september	september	PROPN
m-1155	174	6	2025	2025	NUM
m-1155	174	7	|	|	ADV
m-1155	174	8	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-1155	174	9	63	63	NUM
m-1155	174	10	ijo	ijo	PROPN
m-1155	174	11	international	international	ADJ
m-1155	174	12	journal	journal	PROPN
m-1155	174	13	of	of	ADP
m-1155	174	14	mathematics	mathematics	PROPN
m-1155	174	15	(	(	PUNCT
m-1155	174	16	issn	issn	PROPN
m-1155	174	17	:	:	PUNCT
m-1155	174	18	2992	2992	NUM
m-1155	174	19	-	-	SYM
m-1155	174	20	4421	4421	NUM
m-1155	174	21	)	)	PUNCT
m-1155	174	22	thomas	thomas	PROPN
m-1155	174	23	,	,	PUNCT
m-1155	175	1	henry	henry	PROPN
m-1155	175	2	sylvester	sylvester	PROPN
m-1155	175	3	*	*	PUNCT
m-1155	175	4	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-1155	175	5	volume	volume	NOUN
m-1155	175	6	08	08	NUM
m-1155	175	7	||	||	PROPN
m-1155	175	8	issue	issue	NOUN
m-1155	175	9	09	09	NUM
m-1155	175	10	||	||	NOUN
m-1155	175	11	september	september	PROPN
m-1155	175	12	,	,	PUNCT
m-1155	175	13	2025	2025	NUM
m-1155	175	14	||	||	PUNCT
m-1155	176	1	“	"	PUNCT
m-1155	176	2	caputo	caputo	PROPN
m-1155	176	3	-	-	PUNCT
m-1155	176	4	fabrizio	fabrizio	PROPN
m-1155	176	5	fractional	fractional	ADJ
m-1155	176	6	drivatives	drivative	NOUN
m-1155	176	7	of	of	ADP
m-1155	176	8	age	age	NOUN
m-1155	176	9	-	-	PUNCT
m-1155	176	10	structured	structure	VERB
m-1155	176	11	dipptheria	dipptheria	NOUN
m-1155	176	12	infection	infection	NOUN
m-1155	176	13	model	model	NOUN
m-1155	176	14	with	with	ADP
m-1155	176	15	laplace	laplace	NOUN
m-1155	176	16	adomian	adomian	NOUN
m-1155	176	17	decomposition	decomposition	NOUN
m-1155	176	18	analysis	analysis	NOUN
m-1155	176	19	"	"	PUNCT
m-1155	176	20	stability	stability	NOUN
m-1155	176	21	,	,	PUNCT
m-1155	176	22	confirming	confirm	VERB
m-1155	176	23	the	the	DET
m-1155	176	24	robustness	robustness	NOUN
m-1155	176	25	of	of	ADP
m-1155	176	26	the	the	DET
m-1155	176	27	system	system	NOUN
m-1155	176	28	under	under	ADP
m-1155	176	29	perturbations	perturbation	NOUN
m-1155	176	30	.	.	PUNCT
m-1155	177	1	to	to	PART
m-1155	177	2	obtain	obtain	VERB
m-1155	177	3	approximate	approximate	ADJ
m-1155	177	4	analytic	analytic	ADJ
m-1155	177	5	–	–	PUNCT
m-1155	177	6	numerical	numerical	ADJ
m-1155	177	7	solutions	solution	NOUN
m-1155	177	8	,	,	PUNCT
m-1155	177	9	the	the	DET
m-1155	177	10	laplace	laplace	NOUN
m-1155	177	11	adomian	adomian	NOUN
m-1155	177	12	decomposition	decomposition	NOUN
m-1155	177	13	method	method	NOUN
m-1155	177	14	(	(	PUNCT
m-1155	177	15	ladm	ladm	ADJ
m-1155	177	16	)	)	PUNCT
m-1155	177	17	is	be	AUX
m-1155	177	18	applied	apply	VERB
m-1155	177	19	,	,	PUNCT
m-1155	177	20	yielding	yield	VERB
m-1155	177	21	a	a	DET
m-1155	177	22	rapidly	rapidly	ADV
m-1155	177	23	convergent	convergent	ADJ
m-1155	177	24	series	series	NOUN
m-1155	177	25	representation	representation	NOUN
m-1155	177	26	.	.	PUNCT
m-1155	178	1	results	result	NOUN
m-1155	178	2	show	show	VERB
m-1155	178	3	that	that	SCONJ
m-1155	178	4	the	the	DET
m-1155	178	5	fractional	fractional	ADJ
m-1155	178	6	order	order	NOUN
m-1155	178	7	significantly	significantly	ADV
m-1155	178	8	alters	alter	VERB
m-1155	178	9	outbreak	outbreak	NOUN
m-1155	178	10	intensity	intensity	NOUN
m-1155	178	11	and	and	CCONJ
m-1155	178	12	timing	timing	NOUN
m-1155	178	13	,	,	PUNCT
m-1155	178	14	reflecting	reflect	VERB
m-1155	178	15	the	the	DET
m-1155	178	16	role	role	NOUN
m-1155	178	17	of	of	ADP
m-1155	178	18	memory	memory	NOUN
m-1155	178	19	in	in	ADP
m-1155	178	20	diphtheria	diphtheria	NOUN
m-1155	178	21	persistence	persistence	NOUN
m-1155	178	22	and	and	CCONJ
m-1155	178	23	control	control	NOUN
m-1155	178	24	.	.	PUNCT
m-1155	179	1	this	this	DET
m-1155	179	2	work	work	NOUN
m-1155	179	3	achieves	achieve	VERB
m-1155	179	4	three	three	NUM
m-1155	179	5	key	key	ADJ
m-1155	179	6	outcomes	outcome	NOUN
m-1155	179	7	:	:	PUNCT
m-1155	179	8	(	(	PUNCT
m-1155	179	9	i	i	NOUN
m-1155	179	10	)	)	PUNCT
m-1155	179	11	the	the	DET
m-1155	179	12	formulation	formulation	NOUN
m-1155	179	13	of	of	ADP
m-1155	179	14	a	a	DET
m-1155	179	15	new	new	ADJ
m-1155	179	16	fractional	fractional	ADJ
m-1155	179	17	-	-	PUNCT
m-1155	179	18	order	order	NOUN
m-1155	179	19	,	,	PUNCT
m-1155	179	20	age	age	NOUN
m-1155	179	21	-	-	PUNCT
m-1155	179	22	structured	structure	VERB
m-1155	179	23	diphtheria	diphtheria	NOUN
m-1155	179	24	model	model	NOUN
m-1155	179	25	;	;	PUNCT
m-1155	179	26	(	(	PUNCT
m-1155	179	27	ii	ii	NOUN
m-1155	179	28	)	)	PUNCT
m-1155	179	29	provision	provision	NOUN
m-1155	179	30	of	of	ADP
m-1155	179	31	rigorous	rigorous	ADJ
m-1155	179	32	mathematical	mathematical	ADJ
m-1155	179	33	guarantees	guarantee	NOUN
m-1155	179	34	for	for	ADP
m-1155	179	35	solution	solution	NOUN
m-1155	179	36	behavior	behavior	NOUN
m-1155	179	37	;	;	PUNCT
m-1155	179	38	and	and	CCONJ
m-1155	179	39	(	(	PUNCT
m-1155	179	40	iii	iii	NOUN
m-1155	179	41	)	)	PUNCT
m-1155	179	42	demonstration	demonstration	NOUN
m-1155	179	43	of	of	ADP
m-1155	179	44	efficient	efficient	ADJ
m-1155	179	45	analytic	analytic	ADJ
m-1155	179	46	–	–	PUNCT
m-1155	179	47	numerical	numerical	ADJ
m-1155	179	48	solutions	solution	NOUN
m-1155	179	49	through	through	ADP
m-1155	179	50	ladm	ladm	NOUN
m-1155	179	51	.	.	PUNCT
m-1155	180	1	the	the	DET
m-1155	180	2	study	study	NOUN
m-1155	180	3	contributes	contribute	VERB
m-1155	180	4	to	to	ADP
m-1155	180	5	knowledge	knowledge	NOUN
m-1155	180	6	by	by	ADP
m-1155	180	7	introducing	introduce	VERB
m-1155	180	8	a	a	DET
m-1155	180	9	more	more	ADV
m-1155	180	10	realistic	realistic	ADJ
m-1155	180	11	modeling	modeling	NOUN
m-1155	180	12	framework	framework	NOUN
m-1155	180	13	that	that	PRON
m-1155	180	14	integrates	integrate	VERB
m-1155	180	15	age	age	NOUN
m-1155	180	16	heterogeneity	heterogeneity	NOUN
m-1155	180	17	and	and	CCONJ
m-1155	180	18	memory	memory	NOUN
m-1155	180	19	effects	effect	NOUN
m-1155	180	20	,	,	PUNCT
m-1155	180	21	offering	offer	VERB
m-1155	180	22	deeper	deep	ADJ
m-1155	180	23	epidemiological	epidemiological	ADJ
m-1155	180	24	insights	insight	NOUN
m-1155	180	25	and	and	CCONJ
m-1155	180	26	practical	practical	ADJ
m-1155	180	27	guidance	guidance	NOUN
m-1155	180	28	for	for	ADP
m-1155	180	29	sustaining	sustain	VERB
m-1155	180	30	vaccination	vaccination	NOUN
m-1155	180	31	and	and	CCONJ
m-1155	180	32	isolation	isolation	NOUN
m-1155	180	33	strategies	strategy	NOUN
m-1155	180	34	in	in	ADP
m-1155	180	35	diphtheria	diphtheria	NOUN
m-1155	180	36	control	control	NOUN
m-1155	180	37	.	.	PUNCT
m-1155	181	1	references	reference	NOUN
m-1155	181	2	1	1	NUM
m-1155	181	3	.	.	PUNCT
m-1155	181	4	truelove	truelove	PROPN
m-1155	181	5	sa	sa	PROPN
m-1155	181	6	,	,	PUNCT
m-1155	181	7	keegan	keegan	PROPN
m-1155	181	8	lt	lt	PROPN
m-1155	181	9	,	,	PUNCT
m-1155	181	10	moss	moss	PROPN
m-1155	181	11	wj	wj	PROPN
m-1155	181	12	,	,	PUNCT
m-1155	181	13	et	et	PROPN
m-1155	181	14	al	al	PROPN
m-1155	181	15	.	.	PROPN
m-1155	182	1	clinical	clinical	ADJ
m-1155	182	2	and	and	CCONJ
m-1155	182	3	epidemiological	epidemiological	ADJ
m-1155	182	4	aspects	aspect	NOUN
m-1155	182	5	of	of	ADP
m-1155	182	6	diphtheria	diphtheria	NOUN
m-1155	182	7	:	:	PUNCT
m-1155	182	8	a	a	DET
m-1155	182	9	systematic	systematic	ADJ
m-1155	182	10	review	review	NOUN
m-1155	182	11	and	and	CCONJ
m-1155	182	12	pooled	pool	VERB
m-1155	182	13	analysis	analysis	NOUN
m-1155	182	14	.	.	PUNCT
m-1155	183	1	clin	clin	PROPN
m-1155	183	2	infect	infect	PROPN
m-1155	183	3	dis	dis	PROPN
m-1155	183	4	2020	2020	NUM
m-1155	183	5	;	;	PUNCT
m-1155	183	6	71	71	NUM
m-1155	183	7	:	:	SYM
m-1155	183	8	89–97	89–97	NUM
m-1155	183	9	.	.	PUNCT
m-1155	184	1	[	[	X
m-1155	184	2	pmc	pmc	PROPN
m-1155	184	3	free	free	ADJ
m-1155	184	4	article	article	NOUN
m-1155	184	5	]	]	X
m-1155	185	1	[	[	X
m-1155	185	2	pubmed	pubmed	X
m-1155	185	3	]	]	X
m-1155	186	1	[	[	X
m-1155	186	2	google	google	NOUN
m-1155	186	3	scholar	scholar	NOUN
m-1155	186	4	]	]	X
m-1155	186	5	2	2	X
m-1155	186	6	.	.	X
m-1155	186	7	oyelola	oyelola	PROPN
m-1155	186	8	a.	a.	NOUN
m-1155	186	9	adegboye	adegboye	PROPN
m-1155	186	10	,	,	PUNCT
m-1155	186	11	faith	faith	NOUN
m-1155	186	12	o.	o.	PROPN
m-1155	186	13	alele	alele	PROPN
m-1155	186	14	,	,	PUNCT
m-1155	186	15	anton	anton	PROPN
m-1155	186	16	pak	pak	PROPN
m-1155	186	17	,	,	PUNCT
m-1155	186	18	maria	maria	PROPN
m-1155	186	19	e.	e.	PROPN
m-1155	186	20	castellanos	castellanos	PROPN
m-1155	186	21	,	,	PUNCT
m-1155	186	22	malachy	malachy	PROPN
m-1155	186	23	i.	i.	PROPN
m-1155	186	24	okeke	okeke	PROPN
m-1155	186	25	,	,	PUNCT
m-1155	186	26	mohammed	mohammed	PROPN
m-1155	186	27	a.s	a.s	AUX
m-1155	186	28	.	.	PROPN
m-1155	186	29	,	,	PUNCT
m-1155	186	30	theophilus	theophilus	PROPN
m-1155	186	31	i.	i.	PROPN
m-1155	186	32	emeto	emeto	PROPN
m-1155	186	33	,	,	PUNCT
m-1155	186	34	emma	emma	PROPN
m-1155	186	35	s.	s.	PROPN
m-1155	186	36	mcbryde	mcbryde	PROPN
m-1155	186	37	,	,	PUNCT
m-1155	186	38	a	a	DET
m-1155	186	39	resurgence	resurgence	NOUN
m-1155	186	40	and	and	CCONJ
m-1155	186	41	re	re	NOUN
m-1155	186	42	-	-	NOUN
m-1155	186	43	emergence	emergence	NOUN
m-1155	186	44	of	of	ADP
m-1155	186	45	diphtheria	diphtheria	NOUN
m-1155	186	46	in	in	ADP
m-1155	186	47	nigeria	nigeria	PROPN
m-1155	186	48	,	,	PUNCT
m-1155	186	49	2023	2023	NUM
m-1155	186	50	,	,	PUNCT
m-1155	186	51	theradv	theradv	PROPN
m-1155	186	52	infect	infect	VERB
m-1155	186	53	dis	dis	PROPN
m-1155	186	54	.	.	PUNCT
m-1155	187	1	2023	2023	NUM
m-1155	187	2	jan	jan	PROPN
m-1155	187	3	-	-	PUNCT
m-1155	187	4	dec	dec	PROPN
m-1155	187	5	;	;	PUNCT
m-1155	187	6	10	10	NUM
m-1155	187	7	:	:	SYM
m-1155	187	8	20499361231161936	20499361231161936	NUM
m-1155	187	9	,	,	PUNCT
m-1155	187	10	published	publish	VERB
m-1155	187	11	online	online	ADV
m-1155	187	12	2023	2023	NUM
m-1155	187	13	march	march	PROPN
m-1155	187	14	28	28	NUM
m-1155	187	15	.	.	PUNCT
m-1155	188	1	doi	doi	NOUN
m-1155	188	2	:	:	PUNCT
m-1155	188	3	10.1177/20499361231161936	10.1177/20499361231161936	NUM
m-1155	188	4	3	3	NUM
m-1155	188	5	.	.	PUNCT
m-1155	189	1	al	al	PROPN
m-1155	189	2	-	-	PUNCT
m-1155	189	3	dar	dar	PROPN
m-1155	189	4	aa	aa	PROPN
m-1155	189	5	,	,	PUNCT
m-1155	189	6	al	al	PROPN
m-1155	189	7	-	-	PUNCT
m-1155	189	8	qassimi	qassimi	PROPN
m-1155	189	9	m	m	PROPN
m-1155	189	10	,	,	PUNCT
m-1155	189	11	ezzadeen	ezzadeen	VERB
m-1155	189	12	fh	fh	PROPN
m-1155	189	13	,	,	PUNCT
m-1155	189	14	et	et	PROPN
m-1155	189	15	al	al	PROPN
m-1155	189	16	.	.	PUNCT
m-1155	190	1	diphtheria	diphtheria	PROPN
m-1155	190	2	resurgence	resurgence	NOUN
m-1155	190	3	in	in	ADP
m-1155	190	4	sada’a	sada’a	PROPN
m-1155	190	5	-	-	PUNCT
m-1155	190	6	yemen	yemen	PROPN
m-1155	190	7	,	,	PUNCT
m-1155	190	8	2017	2017	NUM
m-1155	190	9	–	–	PUNCT
m-1155	190	10	2020	2020	NUM
m-1155	190	11	.	.	PUNCT
m-1155	191	1	bmc	bmc	ADJ
m-1155	191	2	infect	infect	NOUN
m-1155	191	3	dis	dis	PROPN
m-1155	191	4	2022	2022	NUM
m-1155	191	5	;	;	PUNCT
m-1155	191	6	22	22	NUM
m-1155	191	7	:	:	SYM
m-1155	191	8	46	46	NUM
m-1155	191	9	.	.	PUNCT
m-1155	192	1	[	[	X
m-1155	192	2	pmc	pmc	PROPN
m-1155	192	3	free	free	ADJ
m-1155	192	4	article	article	NOUN
m-1155	192	5	]	]	X
m-1155	193	1	[	[	X
m-1155	193	2	pubmed	pubmed	X
m-1155	193	3	]	]	X
m-1155	194	1	[	[	X
m-1155	194	2	google	google	NOUN
m-1155	194	3	scholar	scholar	NOUN
m-1155	194	4	]	]	X
m-1155	194	5	4	4	X
m-1155	194	6	.	.	X
m-1155	194	7	centers	center	NOUN
m-1155	194	8	for	for	ADP
m-1155	194	9	disease	disease	NOUN
m-1155	194	10	control	control	NOUN
m-1155	194	11	and	and	CCONJ
m-1155	194	12	preventionhttps://www.cdc.gov/diphtheria	preventionhttps://www.cdc.gov/diphtheria	PROPN
m-1155	194	13	5	5	NUM
m-1155	194	14	.	.	PUNCT
m-1155	194	15	centers	center	NOUN
m-1155	194	16	for	for	ADP
m-1155	194	17	disease	disease	NOUN
m-1155	194	18	control	control	NOUN
m-1155	194	19	and	and	CCONJ
m-1155	194	20	prevention	prevention	NOUN
m-1155	194	21	.	.	PUNCT
m-1155	195	1	travel	travel	NOUN
m-1155	195	2	-	-	PUNCT
m-1155	195	3	related	relate	VERB
m-1155	195	4	infectious	infectious	ADJ
m-1155	195	5	diseases	disease	NOUN
m-1155	195	6	:	:	PUNCT
m-1155	195	7	diptheriahttps://wwwnc.cdc.gov	diptheriahttps://wwwnc.cdc.gov	NOUN
m-1155	195	8	/	/	SYM
m-1155	195	9	travel	travel	NOUN
m-1155	195	10	/	/	SYM
m-1155	195	11	yellowbook/2020	yellowbook/2020	ADJ
m-1155	195	12	/	/	SYM
m-1155	195	13	travel	travel	NOUN
m-1155	195	14	-	-	PUNCT
m-1155	195	15	related	relate	VERB
m-1155	195	16	-	-	PUNCT
m-1155	195	17	infectiousdiseases	infectiousdisease	NOUN
m-1155	195	18	/	/	SYM
m-1155	195	19	diphtheria	diphtheria	NOUN
m-1155	195	20	6	6	NUM
m-1155	195	21	.	.	PUNCT
m-1155	195	22	national	national	ADJ
m-1155	195	23	library	library	NOUN
m-1155	195	24	of	of	ADP
m-1155	195	25	medicine	medicine	NOUN
m-1155	195	26	.	.	PUNCT
m-1155	196	1	diptheria	diptheria	NOUN
m-1155	196	2	(	(	PUNCT
m-1155	196	3	https://medlineplus.gov/diphtheri.html	https://medlineplus.gov/diphtheri.html	X
m-1155	196	4	7	7	NUM
m-1155	196	5	.	.	X
m-1155	196	6	ekere	ekere	PROPN
m-1155	196	7	s.	s.	PROPN
m-1155	196	8	udofia	udofia	PROPN
m-1155	196	9	,	,	PUNCT
m-1155	196	10	ubong	ubong	PROPN
m-1155	196	11	d.	d.	PROPN
m-1155	196	12	akpan	akpan	PROPN
m-1155	196	13	,	,	PUNCT
m-1155	196	14	joy	joy	NOUN
m-1155	196	15	ijeomauwakwe	ijeomauwakwe	ADJ
m-1155	196	16	,	,	PUNCT
m-1155	196	17	henry	henry	PROPN
m-1155	196	18	s.	s.	PROPN
m-1155	196	19	thomas(2024	thomas(2024	PROPN
m-1155	196	20	)	)	PUNCT
m-1155	196	21	earthline	earthline	PROPN
m-1155	196	22	journal	journal	PROPN
m-1155	196	23	of	of	ADP
m-1155	196	24	mathematical	mathematical	ADJ
m-1155	196	25	sciences	science	NOUN
m-1155	196	26	,	,	PUNCT
m-1155	196	27	volume	volume	NOUN
m-1155	196	28	14	14	NUM
m-1155	196	29	,	,	PUNCT
m-1155	196	30	number	number	NOUN
m-1155	196	31	3	3	NUM
m-1155	196	32	,	,	PUNCT
m-1155	196	33	2024	2024	NUM
m-1155	196	34	,	,	PUNCT
m-1155	196	35	page	page	NOUN
m-1155	196	36	391	391	NUM
m-1155	196	37	-	-	SYM
m-1155	196	38	404	404	NUM
m-1155	196	39	8	8	NUM
m-1155	196	40	.	.	PUNCT
m-1155	197	1	e.	e.	PROPN
m-1155	197	2	s.	s.	PROPN
m-1155	197	3	udofia	udofia	PROPN
m-1155	197	4	,	,	PUNCT
m-1155	197	5	j.	j.	PROPN
m-1155	197	6	i.	i.	PROPN
m-1155	197	7	uwakwe	uwakwe	PROPN
m-1155	197	8	,	,	PUNCT
m-1155	197	9	h.	h.	PROPN
m-1155	197	10	s.	s.	PROPN
m-1155	197	11	thomas(2024	thomas(2024	PROPN
m-1155	197	12	)	)	PUNCT
m-1155	197	13	optimal	optimal	ADJ
m-1155	197	14	control	control	NOUN
m-1155	197	15	and	and	CCONJ
m-1155	197	16	sensitivity	sensitivity	NOUN
m-1155	197	17	analysis	analysis	NOUN
m-1155	197	18	of	of	ADP
m-1155	197	19	agestructured	agestructure	VERB
m-1155	197	20	mathematical	mathematical	ADJ
m-1155	197	21	model	model	NOUN
m-1155	197	22	of	of	ADP
m-1155	197	23	diphtheria	diphtheria	NOUN
m-1155	197	24	infection	infection	NOUN
m-1155	197	25	.	.	PUNCT
m-1155	198	1	international	international	ADJ
m-1155	198	2	journal	journal	PROPN
m-1155	198	3	of	of	ADP
m-1155	198	4	mathematical	mathematical	ADJ
m-1155	198	5	analysis	analysis	NOUN
m-1155	198	6	and	and	CCONJ
m-1155	198	7	modelling	modelling	NOUN
m-1155	198	8	,	,	PUNCT
m-1155	198	9	(	(	PUNCT
m-1155	198	10	2024),7(1):122	2024),7(1):122	NUM
m-1155	198	11	-	-	SYM
m-1155	198	12	143	143	NUM
m-1155	198	13	9	9	NUM
m-1155	198	14	.	.	PUNCT
m-1155	199	1	onuoha	onuoha	PROPN
m-1155	199	2	joy	joy	PROPN
m-1155	199	3	ljeoma	ljeoma	PROPN
m-1155	199	4	,	,	PUNCT
m-1155	199	5	inyama	inyama	NOUN
m-1155	199	6	simeon	simeon	NOUN
m-1155	199	7	chioma	chioma	NOUN
m-1155	199	8	,	,	PUNCT
m-1155	199	9	udofia	udofia	VERB
m-1155	199	10	ekere	ekere	ADJ
m-1155	199	11	sunday	sunday	PROPN
m-1155	199	12	and	and	CCONJ
m-1155	199	13	omame	omame	PROPN
m-1155	199	14	andrew	andrew	PROPN
m-1155	199	15	(	(	PUNCT
m-1155	199	16	2015	2015	NUM
m-1155	199	17	)	)	PUNCT
m-1155	199	18	,	,	PUNCT
m-1155	199	19	mathematical	mathematical	ADJ
m-1155	199	20	model	model	NOUN
m-1155	199	21	of	of	ADP
m-1155	199	22	the	the	DET
m-1155	199	23	transmission	transmission	NOUN
m-1155	199	24	dynamics	dynamic	NOUN
m-1155	199	25	of	of	ADP
m-1155	199	26	swine	swine	ADJ
m-1155	199	27	flu	flu	NOUN
m-1155	199	28	ijo	ijo	PROPN
m-1155	199	29	journals	journals	PROPN
m-1155	199	30	volume	volume	NOUN
m-1155	199	31	08	08	NUM
m-1155	199	32	|	|	ADV
m-1155	199	33	issue	issue	NOUN
m-1155	199	34	09	09	NUM
m-1155	199	35	|	|	ADV
m-1155	199	36	september	september	PROPN
m-1155	199	37	2025	2025	NUM
m-1155	199	38	|	|	ADV
m-1155	199	39	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-1155	199	40	64	64	NUM
m-1155	199	41	https://www.ncbi.nlm.nih.gov/pmc/articles/pmc7312233/	https://www.ncbi.nlm.nih.gov/pmc/articles/pmc7312233/	NOUN
m-1155	199	42	https://www.ncbi.nlm.nih.gov/pmc/articles/pmc7312233/	https://www.ncbi.nlm.nih.gov/pmc/articles/pmc7312233/	PROPN
m-1155	199	43	https://pubmed.ncbi.nlm.nih.gov/31425581	https://pubmed.ncbi.nlm.nih.gov/31425581	PROPN
m-1155	199	44	https://scholar.google.com/scholar_lookup?journal=clin+infect+dis&title=clinical+and+epidemiological+aspects+of+diphtheria:+a+systematic+review+and+pooled+analysis&author=sa+truelove&author=lt+keegan&author=wj+moss&volume=71&publication_year=2020&pages=89-97&pmid=31425581	https://scholar.google.com/scholar_lookup?journal=clin+infect+dis&title=clinical+and+epidemiological+aspects+of+diphtheria:+a+systematic+review+and+pooled+analysis&author=sa+truelove&author=lt+keegan&author=wj+moss&volume=71&publication_year=2020&pages=89-97&pmid=31425581	PROPN
m-1155	199	45	&	&	CCONJ
m-1155	199	46	https://pubmed.ncbi.nlm.nih.gov/?term=adegboye%20oa%5bauthor%5d	https://pubmed.ncbi.nlm.nih.gov/?term=adegboye%20oa%5bauthor%5d	PROPN
m-1155	199	47	https://pubmed.ncbi.nlm.nih.gov/?term=alele%20fo%5bauthor%5d	https://pubmed.ncbi.nlm.nih.gov/?term=alele%20fo%5bauthor%5d	NOUN
m-1155	199	48	https://pubmed.ncbi.nlm.nih.gov/?term=pak%20a%5bauthor%5d	https://pubmed.ncbi.nlm.nih.gov/?term=pak%20a%5bauthor%5d	PROPN
m-1155	200	1	https://pubmed.ncbi.nlm.nih.gov/?term=castellanos%20me%5bauthor%5d	https://pubmed.ncbi.nlm.nih.gov/?term=castellanos%20me%5bauthor%5d	INTJ
m-1155	200	2	https://pubmed.ncbi.nlm.nih.gov/?term=okeke%20mi%5bauthor%5d	https://pubmed.ncbi.nlm.nih.gov/?term=okeke%20mi%5bauthor%5d	PROPN
m-1155	200	3	https://pubmed.ncbi.nlm.nih.gov/?term=emeto%20ti%5bauthor%5d	https://pubmed.ncbi.nlm.nih.gov/?term=emeto%20ti%5bauthor%5d	PROPN
m-1155	200	4	https://pubmed.ncbi.nlm.nih.gov/?term=mcbryde%20es%5bauthor%5d	https://pubmed.ncbi.nlm.nih.gov/?term=mcbryde%20es%5bauthor%5d	PROPN
m-1155	200	5	https://www.ncbi.nlm.nih.gov/pmc/articles/pmc10061628/	https://www.ncbi.nlm.nih.gov/pmc/articles/pmc10061628/	PROPN
m-1155	200	6	https://doi.org/10.1177%2f20499361231161936	https://doi.org/10.1177%2f20499361231161936	PROPN
m-1155	200	7	https://www.ncbi.nlm.nih.gov/pmc/articles/pmc8751122/	https://www.ncbi.nlm.nih.gov/pmc/articles/pmc8751122/	VERB
m-1155	200	8	https://pubmed.ncbi.nlm.nih.gov/35016630	https://pubmed.ncbi.nlm.nih.gov/35016630	PROPN
m-1155	200	9	https://scholar.google.com/scholar_lookup?journal=bmc+infect+dis&title=diphtheria+resurgence+in+sada%e2%80%99a-yemen,+2017%e2%80%932020&author=aa+al-dar&author=m+al-qassimi&author=fh+ezzadeen&volume=22&publication_year=2022&pages=46&pmid=35016630	https://scholar.google.com/scholar_lookup?journal=bmc+infect+dis&title=diphtheria+resurgence+in+sada%e2%80%99a-yemen,+2017%e2%80%932020&author=aa+al-dar&author=m+al-qassimi&author=fh+ezzadeen&volume=22&publication_year=2022&pages=46&pmid=35016630	PROPN
m-1155	200	10	&	&	CCONJ
m-1155	200	11	https://www.cdc.gov/diphtheria	https://www.cdc.gov/diphtheria	PROPN
m-1155	200	12	https://wwwnc.cdc.gov/travel/yellowbook/2020/travel-related-infectious-diseases/diphtheria	https://wwwnc.cdc.gov/travel/yellowbook/2020/travel-related-infectious-diseases/diphtheria	PROPN
m-1155	200	13	https://wwwnc.cdc.gov/travel/yellowbook/2020/travel-related-infectious-diseases/diphtheria	https://wwwnc.cdc.gov/travel/yellowbook/2020/travel-related-infectious-diseases/diphtheria	PROPN
m-1155	200	14	https://medlineplus.gov/diphtheri.html	https://medlineplus.gov/diphtheri.html	PROPN
m-1155	200	15	https://scholar.google.com/citations?view_op=view_citation&hl=en&user=anuzknaaaaaj&citation_for_view=anuzknaaaaaj:qjmakfhdy7sc	https://scholar.google.com/citations?view_op=view_citation&hl=en&user=anuzknaaaaaj&citation_for_view=anuzknaaaaaj:qjmakfhdy7sc	PROPN
m-1155	200	16	https://scholar.google.com/citations?view_op=view_citation&hl=en&user=anuzknaaaaaj&citation_for_view=anuzknaaaaaj:qjmakfhdy7sc	https://scholar.google.com/citations?view_op=view_citation&hl=en&user=anuzknaaaaaj&citation_for_view=anuzknaaaaaj:qjmakfhdy7sc	PROPN
m-1155	200	17	ijo	ijo	PROPN
m-1155	200	18	international	international	PROPN
m-1155	200	19	journal	journal	PROPN
m-1155	200	20	of	of	ADP
m-1155	200	21	mathematics	mathematics	PROPN
m-1155	200	22	(	(	PUNCT
m-1155	200	23	issn	issn	PROPN
m-1155	200	24	:	:	PUNCT
m-1155	200	25	2992	2992	NUM
m-1155	200	26	-	-	SYM
m-1155	200	27	4421	4421	NUM
m-1155	200	28	)	)	PUNCT
m-1155	201	1	thomas	thomas	PROPN
m-1155	201	2	,	,	PUNCT
m-1155	201	3	henry	henry	PROPN
m-1155	201	4	sylvester	sylvester	PROPN
m-1155	201	5	*	*	PUNCT
m-1155	201	6	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-1155	201	7	volume	volume	NOUN
m-1155	201	8	08	08	NUM
m-1155	201	9	||	||	PROPN
m-1155	201	10	issue	issue	NOUN
m-1155	201	11	09	09	NUM
m-1155	201	12	||	||	NOUN
m-1155	201	13	september	september	PROPN
m-1155	201	14	,	,	PUNCT
m-1155	201	15	2025	2025	NUM
m-1155	201	16	||	||	PUNCT
m-1155	202	1	“	"	PUNCT
m-1155	202	2	caputo	caputo	PROPN
m-1155	202	3	-	-	PUNCT
m-1155	202	4	fabrizio	fabrizio	PROPN
m-1155	202	5	fractional	fractional	ADJ
m-1155	202	6	drivatives	drivative	NOUN
m-1155	202	7	of	of	ADP
m-1155	202	8	age	age	NOUN
m-1155	202	9	-	-	PUNCT
m-1155	202	10	structured	structure	VERB
m-1155	202	11	dipptheria	dipptheria	NOUN
m-1155	202	12	infection	infection	NOUN
m-1155	202	13	model	model	NOUN
m-1155	202	14	with	with	ADP
m-1155	202	15	laplace	laplace	NOUN
m-1155	202	16	adomian	adomian	NOUN
m-1155	202	17	decomposition	decomposition	NOUN
m-1155	202	18	analysis	analysis	NOUN
m-1155	202	19	"	"	PUNCT
m-1155	202	20	with	with	ADP
m-1155	202	21	the	the	DET
m-1155	202	22	vaccination	vaccination	NOUN
m-1155	202	23	of	of	ADP
m-1155	202	24	non	non	ADJ
m-1155	202	25	newborns	newborn	NOUN
m-1155	202	26	,	,	PUNCT
m-1155	202	27	international	international	ADJ
m-1155	202	28	j.	j.	PROPN
m-1155	202	29	of	of	ADP
m-1155	202	30	math	math	PROPN
m-1155	202	31	.	.	PUNCT
m-1155	203	1	sci	sci	PROPN
m-1155	203	2	.	.	PROPN
m-1155	203	3	&	&	CCONJ
m-1155	203	4	engg	engg	PROPN
m-1155	203	5	.	.	PUNCT
m-1155	204	1	appls	appls	PROPN
m-1155	204	2	.	.	PUNCT
m-1155	205	1	(	(	PUNCT
m-1155	205	2	ijmsea	ijmsea	NOUN
m-1155	205	3	)	)	PUNCT
m-1155	205	4	issn	issn	PROPN
m-1155	205	5	0973	0973	NUM
m-1155	205	6	-	-	SYM
m-1155	205	7	9424	9424	NUM
m-1155	205	8	,	,	PUNCT
m-1155	205	9	vol	vol	NOUN
m-1155	205	10	.	.	PROPN
m-1155	205	11	9	9	NUM
m-1155	205	12	no	no	NOUN
m-1155	205	13	.	.	PUNCT
m-1155	206	1	i	i	PRON
m-1155	206	2	(	(	PUNCT
m-1155	206	3	march	march	PROPN
m-1155	206	4	,	,	PUNCT
m-1155	206	5	2015	2015	NUM
m-1155	206	6	)	)	PUNCT
m-1155	206	7	,	,	PUNCT
m-1155	206	8	pp	pp	PROPN
m-1155	206	9	.	.	PUNCT
m-1155	207	1	1	1	NUM
m-1155	207	2	-	-	SYM
m-1155	207	3	17	17	NUM
m-1155	207	4	www.ascent-journals.com	www.ascent-journals.com	NUM
m-1155	207	5	10	10	NUM
m-1155	207	6	.	.	PUNCT
m-1155	208	1	ekere	ekere	PROPN
m-1155	208	2	s.	s.	PROPN
m-1155	208	3	udofia	udofia	PROPN
m-1155	208	4	,	,	PUNCT
m-1155	208	5	(	(	PUNCT
m-1155	208	6	2023	2023	NUM
m-1155	208	7	)	)	PUNCT
m-1155	208	8	,	,	PUNCT
m-1155	208	9	mathematical	mathematical	ADJ
m-1155	208	10	model	model	NOUN
m-1155	208	11	of	of	ADP
m-1155	208	12	male	male	ADJ
m-1155	208	13	circumcision	circumcision	NOUN
m-1155	208	14	in	in	ADP
m-1155	208	15	hiv	hiv	PROPN
m-1155	208	16	/	/	SYM
m-1155	208	17	aids	aids	PROPN
m-1155	208	18	preventions	prevention	NOUN
m-1155	208	19	,	,	PUNCT
m-1155	208	20	international	international	ADJ
m-1155	208	21	journal	journal	NOUN
m-1155	208	22	of	of	ADP
m-1155	208	23	innovative	innovative	ADJ
m-1155	208	24	science	science	NOUN
m-1155	208	25	and	and	CCONJ
m-1155	208	26	research	research	NOUN
m-1155	208	27	technology	technology	NOUN
m-1155	208	28	,	,	PUNCT
m-1155	208	29	volume	volume	NOUN
m-1155	208	30	8	8	NUM
m-1155	208	31	,	,	PUNCT
m-1155	208	32	issue	issue	NOUN
m-1155	208	33	8	8	NUM
m-1155	208	34	,	,	PUNCT
m-1155	208	35	august	august	PROPN
m-1155	208	36	–	–	PUNCT
m-1155	208	37	2023	2023	NUM
m-1155	208	38	issn	issn	PROPN
m-1155	208	39	no	no	NOUN
m-1155	208	40	:	:	PUNCT
m-1155	208	41	-2456	-2456	NOUN
m-1155	208	42	-	-	PUNCT
m-1155	208	43	2165	2165	NUM
m-1155	208	44	www.ijisrt.com	www.ijisrt.com	NOUN
m-1155	208	45	11	11	NUM
m-1155	208	46	.	.	PUNCT
m-1155	209	1	onuoha	onuoha	PROPN
m-1155	209	2	joy	joy	PROPN
m-1155	209	3	ljeoma	ljeoma	PROPN
m-1155	209	4	,	,	PUNCT
m-1155	209	5	inyama	inyama	NOUN
m-1155	209	6	simeon	simeon	NOUN
m-1155	209	7	chioma	chioma	NOUN
m-1155	209	8	and	and	CCONJ
m-1155	209	9	udofia	udofia	PROPN
m-1155	209	10	sunday	sunday	PROPN
m-1155	209	11	ekere(2014	ekere(2014	NOUN
m-1155	209	12	)	)	PUNCT
m-1155	209	13	mathematical	mathematical	ADJ
m-1155	209	14	model	model	NOUN
m-1155	209	15	of	of	ADP
m-1155	209	16	the	the	DET
m-1155	209	17	transmission	transmission	NOUN
m-1155	209	18	dynamics	dynamic	NOUN
m-1155	209	19	of	of	ADP
m-1155	209	20	swine	swine	ADJ
m-1155	209	21	flu	flu	NOUN
m-1155	209	22	with	with	ADP
m-1155	209	23	the	the	DET
m-1155	209	24	vaccination	vaccination	NOUN
m-1155	209	25	of	of	ADP
m-1155	209	26	newborns	newborn	NOUN
m-1155	209	27	,	,	PUNCT
m-1155	209	28	international	international	ADJ
m-1155	209	29	j.	j.	PROPN
m-1155	209	30	of	of	ADP
m-1155	209	31	math	math	PROPN
m-1155	209	32	.	.	PUNCT
m-1155	210	1	sci	sci	PROPN
m-1155	210	2	.	.	PROPN
m-1155	210	3	&	&	CCONJ
m-1155	210	4	engg	engg	PROPN
m-1155	210	5	.	.	PUNCT
m-1155	211	1	appls	appls	PROPN
m-1155	211	2	.	.	PUNCT
m-1155	212	1	(	(	PUNCT
m-1155	212	2	ijmsea	ijmsea	NOUN
m-1155	212	3	)	)	PUNCT
m-1155	212	4	issn	issn	PROPN
m-1155	212	5	0973	0973	NUM
m-1155	212	6	-	-	SYM
m-1155	212	7	9424	9424	NUM
m-1155	212	8	,	,	PUNCT
m-1155	212	9	vol	vol	NOUN
m-1155	212	10	.	.	NOUN
m-1155	212	11	8	8	NUM
m-1155	213	1	no	no	NOUN
m-1155	213	2	.	.	NOUN
m-1155	214	1	v	v	NOUN
m-1155	214	2	(	(	PUNCT
m-1155	214	3	september	september	PROPN
m-1155	214	4	,	,	PUNCT
m-1155	214	5	2014	2014	NUM
m-1155	214	6	)	)	PUNCT
m-1155	214	7	,	,	PUNCT
m-1155	214	8	pp	pp	ADP
m-1155	214	9	.	.	PUNCT
m-1155	215	1	217	217	NUM
m-1155	215	2	-	-	SYM
m-1155	215	3	229	229	NUM
m-1155	215	4	12	12	NUM
m-1155	215	5	.	.	PUNCT
m-1155	216	1	udofiaekere	udofiaekere	ADJ
m-1155	216	2	sunday	sunday	PROPN
m-1155	216	3	and	and	CCONJ
m-1155	216	4	inyama	inyama	NOUN
m-1155	216	5	simeon	simeon	NOUN
m-1155	216	6	chioma	chioma	NOUN
m-1155	216	7	(	(	PUNCT
m-1155	216	8	2012	2012	NUM
m-1155	216	9	)	)	PUNCT
m-1155	216	10	,	,	PUNCT
m-1155	216	11	application	application	NOUN
m-1155	216	12	of	of	ADP
m-1155	216	13	optimal	optimal	ADJ
m-1155	216	14	control	control	NOUN
m-1155	216	15	to	to	ADP
m-1155	216	16	the	the	DET
m-1155	216	17	epidemiology	epidemiology	NOUN
m-1155	216	18	of	of	ADP
m-1155	216	19	fowl	fowl	NOUN
m-1155	216	20	pox	pox	NOUN
m-1155	216	21	transmission	transmission	NOUN
m-1155	216	22	dynamics	dynamic	NOUN
m-1155	216	23	in	in	ADP
m-1155	216	24	poultry	poultry	NOUN
m-1155	216	25	,	,	PUNCT
m-1155	216	26	journal	journal	NOUN
m-1155	216	27	of	of	ADP
m-1155	216	28	mathematics	mathematic	NOUN
m-1155	216	29	and	and	CCONJ
m-1155	216	30	statistics	statistic	NOUN
m-1155	216	31	8	8	NUM
m-1155	216	32	(	(	PUNCT
m-1155	216	33	2	2	NUM
m-1155	216	34	):	):	PUNCT
m-1155	216	35	248	248	NUM
m-1155	216	36	-	-	SYM
m-1155	216	37	252	252	NUM
m-1155	216	38	,	,	PUNCT
m-1155	216	39	issn	issn	PROPN
m-1155	216	40	1549	1549	NUM
m-1155	216	41	-	-	SYM
m-1155	216	42	3644	3644	NUM
m-1155	216	43	,	,	PUNCT
m-1155	216	44	©	©	PROPN
m-1155	216	45	2012	2012	NUM
m-1155	216	46	science	science	NOUN
m-1155	216	47	publications	publication	NOUN
m-1155	216	48	13	13	NUM
m-1155	216	49	.	.	PUNCT
m-1155	217	1	udofia	udofia	PROPN
m-1155	217	2	,	,	PUNCT
m-1155	217	3	ekere	ekere	ADJ
m-1155	217	4	sunday	sunday	PROPN
m-1155	217	5	and	and	CCONJ
m-1155	217	6	inyama	inyama	NOUN
m-1155	217	7	,	,	PUNCT
m-1155	217	8	simeonchioma	simeonchioma	PROPN
m-1155	217	9	mathematical	mathematical	ADJ
m-1155	217	10	model	model	NOUN
m-1155	217	11	of	of	ADP
m-1155	217	12	structural	structural	ADJ
m-1155	217	13	strategy	strategy	NOUN
m-1155	217	14	(	(	PUNCT
m-1155	217	15	delayed	delay	VERB
m-1155	217	16	first	first	ADJ
m-1155	217	17	intercourse	intercourse	NOUN
m-1155	217	18	)	)	PUNCT
m-1155	217	19	in	in	ADP
m-1155	217	20	hivaids	hivaids	PROPN
m-1155	217	21	prevention	prevention	PROPN
m-1155	217	22	,	,	PUNCT
m-1155	217	23	journal	journal	NOUN
m-1155	217	24	of	of	ADP
m-1155	217	25	the	the	DET
m-1155	217	26	nigerian	nigerian	PROPN
m-1155	217	27	association	association	PROPN
m-1155	217	28	of	of	ADP
m-1155	217	29	mathematical	mathematical	ADJ
m-1155	217	30	physics	physics	NOUN
m-1155	217	31	volume	volume	NOUN
m-1155	217	32	24	24	NUM
m-1155	217	33	(	(	PUNCT
m-1155	217	34	july	july	PROPN
m-1155	217	35	,	,	PUNCT
m-1155	217	36	2013	2013	NUM
m-1155	217	37	)	)	PUNCT
m-1155	217	38	pp	pp	ADP
m-1155	217	39	257	257	NUM
m-1155	217	40	-	-	SYM
m-1155	217	41	260	260	NUM
m-1155	217	42	©	©	PROPN
m-1155	217	43	j.	j.	PROPN
m-1155	217	44	of	of	ADP
m-1155	217	45	namp	namp	PROPN
m-1155	217	46	14	14	NUM
m-1155	217	47	.	.	PUNCT
m-1155	218	1	udofia	udofia	PROPN
m-1155	218	2	,	,	PUNCT
m-1155	218	3	ekere	ekere	ADJ
m-1155	218	4	sunday	sunday	PROPN
m-1155	218	5	,	,	PUNCT
m-1155	218	6	sampson	sampson	PROPN
m-1155	218	7	,	,	PUNCT
m-1155	218	8	marshal	marshal	NOUN
m-1155	218	9	imeh	imeh	NOUN
m-1155	218	10	(	(	PUNCT
m-1155	218	11	2014	2014	NUM
m-1155	218	12	)	)	PUNCT
m-1155	218	13	mathematical	mathematical	ADJ
m-1155	218	14	model	model	NOUN
m-1155	218	15	for	for	ADP
m-1155	218	16	the	the	DET
m-1155	218	17	epidemiology	epidemiology	NOUN
m-1155	218	18	of	of	ADP
m-1155	218	19	fowl	fowl	NOUN
m-1155	218	20	pox	pox	NOUN
m-1155	218	21	infection	infection	NOUN
m-1155	218	22	transmission	transmission	NOUN
m-1155	218	23	that	that	PRON
m-1155	218	24	incorporates	incorporate	VERB
m-1155	218	25	discrete	discrete	ADJ
m-1155	218	26	delay	delay	NOUN
m-1155	218	27	,	,	PUNCT
m-1155	218	28	iosr	iosr	ADJ
m-1155	218	29	journal	journal	NOUN
m-1155	218	30	of	of	ADP
m-1155	218	31	mathematics	mathematics	PROPN
m-1155	218	32	(	(	PUNCT
m-1155	218	33	iosr	iosr	PROPN
m-1155	218	34	-	-	PUNCT
m-1155	218	35	jm	jm	NOUN
m-1155	218	36	)	)	PUNCT
m-1155	218	37	e	e	NOUN
m-1155	218	38	-	-	PUNCT
m-1155	218	39	issn	issn	NOUN
m-1155	218	40	:	:	PUNCT
m-1155	218	41	2278	2278	NUM
m-1155	218	42	-	-	SYM
m-1155	218	43	5728	5728	NUM
m-1155	218	44	,	,	PUNCT
m-1155	218	45	p	p	NOUN
m-1155	218	46	-	-	PUNCT
m-1155	218	47	issn	issn	NOUN
m-1155	218	48	:	:	PUNCT
m-1155	218	49	2319	2319	NUM
m-1155	218	50	-	-	PUNCT
m-1155	218	51	765x	765x	PROPN
m-1155	218	52	.	.	PUNCT
m-1155	219	1	volume	volume	NOUN
m-1155	219	2	10	10	NUM
m-1155	219	3	,	,	PUNCT
m-1155	219	4	issue	issue	NOUN
m-1155	219	5	4	4	NUM
m-1155	219	6	ver	ver	NOUN
m-1155	219	7	.	.	PUNCT
m-1155	220	1	v	v	PROPN
m-1155	220	2	(	(	PUNCT
m-1155	220	3	july	july	PROPN
m-1155	220	4	aug	aug	PROPN
m-1155	220	5	.	.	PROPN
m-1155	220	6	2014	2014	NUM
m-1155	220	7	)	)	PUNCT
m-1155	220	8	,	,	PUNCT
m-1155	220	9	pp	pp	ADV
m-1155	220	10	08	08	NUM
m-1155	220	11	-	-	SYM
m-1155	220	12	16	16	NUM
m-1155	220	13	www.iosrjournals.org	www.iosrjournals.org	NUM
m-1155	220	14	15	15	NUM
m-1155	220	15	.	.	PUNCT
m-1155	221	1	ia	ia	PROPN
m-1155	221	2	agwu	agwu	PROPN
m-1155	221	3	,	,	PUNCT
m-1155	221	4	sc	sc	PROPN
m-1155	221	5	inyama	inyama	NOUN
m-1155	221	6	,	,	PUNCT
m-1155	221	7	ra	ra	PROPN
m-1155	221	8	umana	umana	PROPN
m-1155	221	9	,	,	PUNCT
m-1155	221	10	a	a	DET
m-1155	221	11	omame	omame	NOUN
m-1155	221	12	,	,	PUNCT
m-1155	221	13	n	n	CCONJ
m-1155	221	14	ukanwoke	ukanwoke	NOUN
m-1155	221	15	,	,	PUNCT
m-1155	221	16	a	a	DET
m-1155	221	17	ofomata	ofomata	NOUN
m-1155	221	18	,	,	PUNCT
m-1155	221	19	hi	hi	INTJ
m-1155	221	20	mbachu	mbachu	PROPN
m-1155	221	21	,	,	PUNCT
m-1155	221	22	es	es	X
m-1155	221	23	udofia	udofia	NOUN
m-1155	221	24	,	,	PUNCT
m-1155	221	25	ji	ji	PROPN
m-1155	221	26	uwakwe	uwakwe	NOUN
m-1155	221	27	(	(	PUNCT
m-1155	221	28	2018	2018	NUM
m-1155	221	29	)	)	PUNCT
m-1155	221	30	,	,	PUNCT
m-1155	221	31	determining	determine	VERB
m-1155	221	32	the	the	DET
m-1155	221	33	impact	impact	NOUN
m-1155	221	34	of	of	ADP
m-1155	221	35	variation	variation	NOUN
m-1155	221	36	of	of	ADP
m-1155	221	37	harvesting	harvesting	NOUN
m-1155	221	38	effort	effort	NOUN
m-1155	221	39	on	on	ADP
m-1155	221	40	the	the	DET
m-1155	221	41	qualitative	qualitative	ADJ
m-1155	221	42	behaviour	behaviour	NOUN
m-1155	221	43	of	of	ADP
m-1155	221	44	a	a	DET
m-1155	221	45	coexistence	coexistence	NOUN
m-1155	221	46	steady	steady	ADJ
m-1155	221	47	state	state	NOUN
m-1155	221	48	solution	solution	NOUN
m-1155	221	49	and	and	CCONJ
m-1155	221	50	its	its	PRON
m-1155	221	51	stability	stability	NOUN
m-1155	221	52	in	in	ADP
m-1155	221	53	prey	prey	NOUN
m-1155	221	54	-	-	PUNCT
m-1155	221	55	predator	predator	NOUN
m-1155	221	56	fishery	fishery	NOUN
m-1155	221	57	model	model	NOUN
m-1155	221	58	,	,	PUNCT
m-1155	221	59	academic	academic	ADJ
m-1155	221	60	journal	journal	NOUN
m-1155	221	61	of	of	ADP
m-1155	221	62	applied	apply	VERB
m-1155	221	63	mathematical	mathematical	ADJ
m-1155	221	64	sciences	sciences	PROPN
m-1155	221	65	vol	vol	NOUN
m-1155	221	66	.	.	PROPN
m-1155	221	67	4	4	NUM
m-1155	221	68	issue	issue	NOUN
m-1155	221	69	10	10	NUM
m-1155	221	70	pages	page	NOUN
m-1155	221	71	119	119	NUM
m-1155	221	72	-	-	SYM
m-1155	221	73	128	128	NUM
m-1155	221	74	,	,	PUNCT
m-1155	221	75	2018	2018	NUM
m-1155	221	76	16	16	NUM
m-1155	221	77	.	.	PUNCT
m-1155	222	1	udofiaekere	udofiaekere	ADP
m-1155	222	2	sunday	sunday	PROPN
m-1155	222	3	and	and	CCONJ
m-1155	222	4	amos	amos	PROPN
m-1155	222	5	amosidungafa	amosidungafa	PROPN
m-1155	222	6	(	(	PUNCT
m-1155	222	7	2018	2018	NUM
m-1155	222	8	)	)	PUNCT
m-1155	222	9	,	,	PUNCT
m-1155	222	10	mathematical	mathematical	ADJ
m-1155	222	11	model	model	NOUN
m-1155	222	12	of	of	ADP
m-1155	222	13	bacteria	bacteria	NOUN
m-1155	222	14	-	-	PUNCT
m-1155	222	15	nutrient	nutrient	NOUN
m-1155	222	16	harvesting	harvesting	NOUN
m-1155	222	17	in	in	ADP
m-1155	222	18	a	a	DET
m-1155	222	19	cultured	cultured	ADJ
m-1155	222	20	environment	environment	NOUN
m-1155	222	21	,	,	PUNCT
m-1155	222	22	journal	journal	NOUN
m-1155	222	23	of	of	ADP
m-1155	222	24	the	the	DET
m-1155	222	25	nigerian	nigerian	PROPN
m-1155	222	26	association	association	PROPN
m-1155	222	27	of	of	ADP
m-1155	222	28	mathematical	mathematical	ADJ
m-1155	222	29	physics	physics	NOUN
m-1155	222	30	volume	volume	NOUN
m-1155	222	31	46	46	NUM
m-1155	222	32	(	(	PUNCT
m-1155	222	33	may	may	AUX
m-1155	222	34	,	,	PUNCT
m-1155	222	35	2018	2018	NUM
m-1155	222	36	issue	issue	NOUN
m-1155	222	37	)	)	PUNCT
m-1155	222	38	,	,	PUNCT
m-1155	222	39	pp115	pp115	PROPN
m-1155	222	40	–	–	PUNCT
m-1155	222	41	118	118	NUM
m-1155	222	42	,	,	PUNCT
m-1155	222	43	2018	2018	NUM
m-1155	222	44	©	©	PROPN
m-1155	222	45	j.	j.	PROPN
m-1155	222	46	of	of	ADP
m-1155	222	47	namp	namp	PROPN
m-1155	222	48	17	17	NUM
m-1155	222	49	.	.	PUNCT
m-1155	223	1	udofia	udofia	PROPN
m-1155	223	2	,	,	PUNCT
m-1155	223	3	ekere	ekere	NOUN
m-1155	223	4	s	s	NOUN
m-1155	223	5	,	,	PUNCT
m-1155	223	6	and	and	CCONJ
m-1155	223	7	etukudoidorenyin	etukudoidorenyin	VERB
m-1155	223	8	a	a	DET
m-1155	223	9	(	(	PUNCT
m-1155	223	10	2019	2019	NUM
m-1155	223	11	)	)	PUNCT
m-1155	223	12	,	,	PUNCT
m-1155	223	13	optimal	optimal	ADJ
m-1155	223	14	allocation	allocation	NOUN
m-1155	223	15	of	of	ADP
m-1155	223	16	biscuit	biscuit	NOUN
m-1155	223	17	ingredient	ingredient	NOUN
m-1155	223	18	in	in	ADP
m-1155	223	19	the	the	DET
m-1155	223	20	production	production	NOUN
m-1155	223	21	process	process	NOUN
m-1155	223	22	an	an	DET
m-1155	223	23	invariant	invariant	ADJ
m-1155	223	24	property	property	NOUN
m-1155	223	25	based	base	VERB
m-1155	223	26	algorithm	algorithm	NOUN
m-1155	223	27	approach	approach	NOUN
m-1155	223	28	,	,	PUNCT
m-1155	223	29	mathematical	mathematical	ADJ
m-1155	223	30	theory	theory	NOUN
m-1155	223	31	and	and	CCONJ
m-1155	223	32	modeling	modeling	NOUN
m-1155	223	33	www.iiste.org	www.iiste.org	PROPN
m-1155	223	34	issn	issn	PROPN
m-1155	223	35	2224	2224	NUM
m-1155	223	36	-	-	SYM
m-1155	223	37	5804	5804	NUM
m-1155	223	38	(	(	PUNCT
m-1155	223	39	paper	paper	NOUN
m-1155	223	40	)	)	PUNCT
m-1155	223	41	issn	issn	VERB
m-1155	223	42	2225	2225	NUM
m-1155	223	43	-	-	SYM
m-1155	223	44	0522	0522	NUM
m-1155	223	45	(	(	PUNCT
m-1155	223	46	online	online	ADJ
m-1155	223	47	)	)	PUNCT
m-1155	223	48	doi	doi	NOUN
m-1155	223	49	:	:	PUNCT
m-1155	223	50	10.7176	10.7176	NUM
m-1155	223	51	/	/	SYM
m-1155	223	52	mtm	mtm	PROPN
m-1155	223	53	vol.9	vol.9	PROPN
m-1155	223	54	,	,	PUNCT
m-1155	223	55	no.4	no.4	PROPN
m-1155	223	56	,	,	PUNCT
m-1155	223	57	2019	2019	NUM
m-1155	223	58	18	18	NUM
m-1155	223	59	.	.	PUNCT
m-1155	223	60	i.	i.	PROPN
m-1155	223	61	j.	j.	PROPN
m-1155	223	62	udom	udom	PROPN
m-1155	223	63	,	,	PUNCT
m-1155	223	64	e.	e.	PROPN
m-1155	223	65	s.	s.	PROPN
m-1155	223	66	udofia	udofia	PROPN
m-1155	223	67	,	,	PUNCT
m-1155	223	68	s.	s.	PROPN
m-1155	223	69	a.	a.	PROPN
m-1155	223	70	nta	nta	PROPN
m-1155	223	71	,	,	PUNCT
m-1155	223	72	g.	g.	PROPN
m-1155	223	73	a.	a.	PROPN
m-1155	223	74	usoh	usoh	PROPN
m-1155	223	75	,	,	PUNCT
m-1155	223	76	e.	e.	PROPN
m-1155	223	77	o.	o.	PROPN
m-1155	223	78	sam	sam	PROPN
m-1155	223	79	(	(	PUNCT
m-1155	223	80	2023	2023	NUM
m-1155	223	81	)	)	PUNCT
m-1155	223	82	’	'	PUNCT
m-1155	223	83	prediction	prediction	NOUN
m-1155	223	84	of	of	ADP
m-1155	223	85	piggery	piggery	NOUN
m-1155	223	86	wastewater	wastewater	NOUN
m-1155	223	87	nutrient	nutrient	NOUN
m-1155	223	88	attenuation	attenuation	NOUN
m-1155	223	89	by	by	ADP
m-1155	223	90	constructed	construct	VERB
m-1155	223	91	wetland	wetland	NOUN
m-1155	223	92	in	in	ADP
m-1155	223	93	a	a	DET
m-1155	223	94	humid	humid	NOUN
m-1155	223	95	environment	environment	NOUN
m-1155	223	96	’	'	PUNCT
m-1155	223	97	international	international	ADJ
m-1155	223	98	journal	journal	NOUN
m-1155	223	99	of	of	ADP
m-1155	223	100	innovative	innovative	ADJ
m-1155	223	101	science	science	NOUN
m-1155	223	102	and	and	CCONJ
m-1155	223	103	research	research	NOUN
m-1155	223	104	technology	technology	NOUN
m-1155	223	105	issn	issn	PROPN
m-1155	223	106	no:-2456	no:-2456	PROPN
m-1155	223	107	-	-	PUNCT
m-1155	223	108	2165	2165	NUM
m-1155	223	109	,	,	PUNCT
m-1155	223	110	volume	volume	NOUN
m-1155	223	111	8	8	NUM
m-1155	223	112	,	,	PUNCT
m-1155	223	113	issue	issue	NOUN
m-1155	223	114	9	9	NUM
m-1155	223	115	,	,	PUNCT
m-1155	223	116	september	september	PROPN
m-1155	223	117	–	–	PUNCT
m-1155	223	118	2023,www.ijisrt.com	2023,www.ijisrt.com	NUM
m-1155	223	119	19	19	NUM
m-1155	223	120	.	.	PUNCT
m-1155	224	1	olayiwola	olayiwola	PROPN
m-1155	224	2	,	,	PUNCT
m-1155	224	3	m.	m.	NOUN
m-1155	224	4	o	o	NOUN
m-1155	224	5	,	,	PUNCT
m-1155	224	6	alaje	alaje	ADV
m-1155	224	7	,	,	PUNCT
m-1155	224	8	a.i	a.i	PROPN
m-1155	224	9	.	.	PROPN
m-1155	224	10	(	(	PUNCT
m-1155	224	11	2024	2024	NUM
m-1155	224	12	)	)	PUNCT
m-1155	224	13	mathematical	mathematical	ADJ
m-1155	224	14	modelling	modelling	NOUN
m-1155	224	15	of	of	ADP
m-1155	224	16	diphtheria	diphtheria	NOUN
m-1155	224	17	transmission	transmission	NOUN
m-1155	224	18	and	and	CCONJ
m-1155	224	19	vaccine	vaccine	NOUN
m-1155	224	20	efficacy	efficacy	NOUN
m-1155	224	21	using	use	VERB
m-1155	224	22	nigeria	nigeria	PRON
m-1155	224	23	,	,	PUNCT
m-1155	224	24	modelearth	modelearth	ADV
m-1155	224	25	syst.environ.10	syst.environ.10	VERB
m-1155	224	26	,	,	PUNCT
m-1155	224	27	3941	3941	NUM
m-1155	224	28	-	-	SYM
m-1155	224	29	3967	3967	NUM
m-1155	224	30	https://doi.org/10.1007/s40808-02401976-7	https://doi.org/10.1007/s40808-02401976-7	PROPN
m-1155	224	31	20	20	NUM
m-1155	224	32	.	.	PUNCT
m-1155	225	1	ulam	ulam	PROPN
m-1155	225	2	sm	sm	PROPN
m-1155	225	3	,	,	PUNCT
m-1155	225	4	a	a	DET
m-1155	225	5	collection	collection	NOUN
m-1155	225	6	of	of	ADP
m-1155	225	7	mathematical	mathematical	ADJ
m-1155	225	8	problems	problem	NOUN
m-1155	225	9	;	;	PUNCT
m-1155	225	10	new	new	PROPN
m-1155	225	11	york	york	PROPN
m-1155	225	12	;	;	PUNCT
m-1155	225	13	1960	1960	NUM
m-1155	225	14	,	,	PUNCT
m-1155	225	15	p.29	p.29	PROPN
m-1155	225	16	21	21	NUM
m-1155	225	17	.	.	PUNCT
m-1155	226	1	ulam	ulam	PROPN
m-1155	226	2	sm	sm	PROPN
m-1155	226	3	,	,	PUNCT
m-1155	226	4	problems	problem	NOUN
m-1155	226	5	in	in	ADP
m-1155	226	6	modern	modern	ADJ
m-1155	226	7	mathematics	mathematic	NOUN
m-1155	226	8	;	;	PUNCT
m-1155	226	9	courier	courier	NOUN
m-1155	226	10	co	co	NOUN
m-1155	226	11	;	;	PUNCT
m-1155	226	12	2004	2004	NUM
m-1155	226	13	ijo	ijo	PROPN
m-1155	226	14	journals	journal	NOUN
m-1155	226	15	volume	volume	NOUN
m-1155	226	16	08	08	NUM
m-1155	227	1	|	|	ADV
m-1155	227	2	issue	issue	NOUN
m-1155	227	3	09	09	NUM
m-1155	227	4	|	|	ADV
m-1155	227	5	september	september	PROPN
m-1155	227	6	2025	2025	NUM
m-1155	228	1	|	|	ADV
m-1155	228	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	PROPN
m-1155	228	3	65	65	NUM
m-1155	228	4	http://www.ascent-journals.com/	http://www.ascent-journals.com/	NOUN
m-1155	228	5	http://www.ijisrt.com/	http://www.ijisrt.com/	NOUN
m-1155	228	6	http://www.iosrjournals.org/	http://www.iosrjournals.org/	PROPN
m-1155	228	7	http://www.ijisrt.com/	http://www.ijisrt.com/	NOUN
m-1155	228	8	https://doi.org/10.1007/s40808-024-01976-7	https://doi.org/10.1007/s40808-024-01976-7	NUM
m-1155	228	9	https://doi.org/10.1007/s40808-024-01976-7	https://doi.org/10.1007/s40808-024-01976-7	NUM