id	sid	tid	token	lemma	pos
ejpam-4864	1	1	european	european	PROPN
ejpam-4864	1	2	journal	journal	PROPN
ejpam-4864	1	3	of	of	ADP
ejpam-4864	1	4	pure	pure	ADJ
ejpam-4864	1	5	and	and	CCONJ
ejpam-4864	1	6	applied	apply	VERB
ejpam-4864	1	7	mathematics	mathematic	NOUN
ejpam-4864	1	8	vol	vol	NOUN
ejpam-4864	1	9	.	.	PUNCT
ejpam-4864	2	1	16	16	NUM
ejpam-4864	2	2	,	,	PUNCT
ejpam-4864	2	3	no	no	INTJ
ejpam-4864	2	4	.	.	NOUN
ejpam-4864	2	5	4	4	NUM
ejpam-4864	2	6	,	,	PUNCT
ejpam-4864	2	7	2023	2023	NUM
ejpam-4864	2	8	,	,	PUNCT
ejpam-4864	2	9	2632	2632	NUM
ejpam-4864	2	10	-	-	SYM
ejpam-4864	2	11	2642	2642	NUM
ejpam-4864	2	12	issn	issn	PROPN
ejpam-4864	2	13	1307	1307	NUM
ejpam-4864	2	14	-	-	SYM
ejpam-4864	2	15	5543	5543	NUM
ejpam-4864	2	16	–	–	PUNCT
ejpam-4864	3	1	ejpam.com	ejpam.com	X
ejpam-4864	3	2	published	publish	VERB
ejpam-4864	3	3	by	by	ADP
ejpam-4864	3	4	new	new	PROPN
ejpam-4864	3	5	york	york	PROPN
ejpam-4864	3	6	business	business	PROPN
ejpam-4864	3	7	global	global	ADJ
ejpam-4864	3	8	analytical	analytical	ADJ
ejpam-4864	3	9	and	and	CCONJ
ejpam-4864	3	10	approximate	approximate	ADJ
ejpam-4864	3	11	solutions	solution	NOUN
ejpam-4864	3	12	for	for	ADP
ejpam-4864	3	13	fractional	fractional	ADJ
ejpam-4864	3	14	systems	system	NOUN
ejpam-4864	3	15	of	of	ADP
ejpam-4864	3	16	nonlinear	nonlinear	ADJ
ejpam-4864	3	17	differential	differential	ADJ
ejpam-4864	3	18	equations	equation	NOUN
ejpam-4864	3	19	h.	h.	PROPN
ejpam-4864	3	20	r.	r.	PROPN
ejpam-4864	3	21	abdl	abdl	PROPN
ejpam-4864	3	22	-	-	PUNCT
ejpam-4864	3	23	rahim1	rahim1	PROPN
ejpam-4864	3	24	,	,	PUNCT
ejpam-4864	3	25	hijaz	hijaz	PROPN
ejpam-4864	3	26	ahmad2,∗	ahmad2,∗	PROPN
ejpam-4864	3	27	,	,	PUNCT
ejpam-4864	3	28	taher	taher	ADJ
ejpam-4864	3	29	a.	a.	NOUN
ejpam-4864	3	30	nofal3	nofal3	PROPN
ejpam-4864	3	31	,	,	PUNCT
ejpam-4864	3	32	g.	g.	PROPN
ejpam-4864	3	33	m.	m.	PROPN
ejpam-4864	3	34	ismail4	ismail4	PROPN
ejpam-4864	3	35	1	1	NUM
ejpam-4864	3	36	industrial	industrial	PROPN
ejpam-4864	3	37	technical	technical	PROPN
ejpam-4864	3	38	institute	institute	PROPN
ejpam-4864	3	39	,	,	PUNCT
ejpam-4864	3	40	medium	medium	NOUN
ejpam-4864	3	41	valley	valley	NOUN
ejpam-4864	3	42	technological	technological	ADJ
ejpam-4864	3	43	college	college	NOUN
ejpam-4864	3	44	,	,	PUNCT
ejpam-4864	3	45	ministry	ministry	PROPN
ejpam-4864	3	46	of	of	ADP
ejpam-4864	3	47	higher	high	ADJ
ejpam-4864	3	48	education	education	NOUN
ejpam-4864	3	49	,	,	PUNCT
ejpam-4864	3	50	sohag	sohag	NOUN
ejpam-4864	3	51	,	,	PUNCT
ejpam-4864	3	52	egypt	egypt	PROPN
ejpam-4864	3	53	2	2	NUM
ejpam-4864	3	54	near	near	ADP
ejpam-4864	3	55	east	east	PROPN
ejpam-4864	3	56	university	university	PROPN
ejpam-4864	3	57	,	,	PUNCT
ejpam-4864	3	58	operational	operational	ADJ
ejpam-4864	3	59	research	research	NOUN
ejpam-4864	3	60	center	center	NOUN
ejpam-4864	3	61	in	in	ADP
ejpam-4864	3	62	healthcare	healthcare	PROPN
ejpam-4864	3	63	,	,	PUNCT
ejpam-4864	3	64	trnc	trnc	PROPN
ejpam-4864	3	65	mersin	mersin	PROPN
ejpam-4864	3	66	10	10	NUM
ejpam-4864	3	67	,	,	PUNCT
ejpam-4864	3	68	nicosia	nicosia	NOUN
ejpam-4864	3	69	,	,	PUNCT
ejpam-4864	3	70	99138	99138	NUM
ejpam-4864	3	71	,	,	PUNCT
ejpam-4864	3	72	turkey	turkey	PROPN
ejpam-4864	3	73	3	3	NUM
ejpam-4864	3	74	department	department	PROPN
ejpam-4864	3	75	of	of	ADP
ejpam-4864	3	76	mathematic	mathematic	PROPN
ejpam-4864	3	77	,	,	PUNCT
ejpam-4864	3	78	college	college	NOUN
ejpam-4864	3	79	of	of	ADP
ejpam-4864	3	80	science	science	PROPN
ejpam-4864	3	81	,	,	PUNCT
ejpam-4864	3	82	taif	taif	PROPN
ejpam-4864	3	83	university	university	PROPN
ejpam-4864	3	84	,	,	PUNCT
ejpam-4864	3	85	p.o	p.o	PROPN
ejpam-4864	3	86	.	.	PROPN
ejpam-4864	3	87	box	box	PROPN
ejpam-4864	3	88	11099	11099	NUM
ejpam-4864	3	89	,	,	PUNCT
ejpam-4864	3	90	taif	taif	PROPN
ejpam-4864	3	91	21944	21944	NUM
ejpam-4864	3	92	,	,	PUNCT
ejpam-4864	3	93	saudi	saudi	PROPN
ejpam-4864	3	94	arabia	arabia	PROPN
ejpam-4864	3	95	4	4	NUM
ejpam-4864	3	96	department	department	NOUN
ejpam-4864	3	97	of	of	ADP
ejpam-4864	3	98	mathematics	mathematic	NOUN
ejpam-4864	3	99	,	,	PUNCT
ejpam-4864	3	100	faculty	faculty	NOUN
ejpam-4864	3	101	of	of	ADP
ejpam-4864	3	102	science	science	NOUN
ejpam-4864	3	103	,	,	PUNCT
ejpam-4864	3	104	islamic	islamic	PROPN
ejpam-4864	3	105	university	university	PROPN
ejpam-4864	3	106	of	of	ADP
ejpam-4864	3	107	madinah	madinah	PROPN
ejpam-4864	3	108	,	,	PUNCT
ejpam-4864	3	109	42351	42351	NUM
ejpam-4864	3	110	,	,	PUNCT
ejpam-4864	3	111	madinah	madinah	PROPN
ejpam-4864	3	112	,	,	PUNCT
ejpam-4864	3	113	saudi	saudi	PROPN
ejpam-4864	3	114	arabia	arabia	PROPN
ejpam-4864	3	115	abstract	abstract	NOUN
ejpam-4864	3	116	.	.	PUNCT
ejpam-4864	4	1	this	this	DET
ejpam-4864	4	2	paper	paper	NOUN
ejpam-4864	4	3	studies	study	NOUN
ejpam-4864	4	4	the	the	DET
ejpam-4864	4	5	epidemic	epidemic	NOUN
ejpam-4864	4	6	model	model	NOUN
ejpam-4864	4	7	via	via	ADP
ejpam-4864	4	8	an	an	DET
ejpam-4864	4	9	efficient	efficient	ADJ
ejpam-4864	4	10	genius	genius	NOUN
ejpam-4864	4	11	modern	modern	ADJ
ejpam-4864	4	12	analytical	analytical	ADJ
ejpam-4864	4	13	approximate	approximate	ADJ
ejpam-4864	4	14	technique	technique	NOUN
ejpam-4864	4	15	named	name	VERB
ejpam-4864	4	16	natural	natural	ADJ
ejpam-4864	4	17	transform	transform	NOUN
ejpam-4864	4	18	adomian	adomian	NOUN
ejpam-4864	4	19	decomposition	decomposition	NOUN
ejpam-4864	4	20	method	method	NOUN
ejpam-4864	4	21	(	(	PUNCT
ejpam-4864	4	22	ntadm	ntadm	PROPN
ejpam-4864	4	23	)	)	PUNCT
ejpam-4864	4	24	.	.	PUNCT
ejpam-4864	5	1	it	it	PRON
ejpam-4864	5	2	is	be	AUX
ejpam-4864	5	3	based	base	VERB
ejpam-4864	5	4	on	on	ADP
ejpam-4864	5	5	caputo	caputo	PROPN
ejpam-4864	5	6	fractional	fractional	PROPN
ejpam-4864	5	7	derivative	derivative	PROPN
ejpam-4864	5	8	.	.	PUNCT
ejpam-4864	6	1	to	to	PART
ejpam-4864	6	2	demonstrate	demonstrate	VERB
ejpam-4864	6	3	the	the	DET
ejpam-4864	6	4	effectiveness	effectiveness	NOUN
ejpam-4864	6	5	of	of	ADP
ejpam-4864	6	6	the	the	DET
ejpam-4864	6	7	present	present	ADJ
ejpam-4864	6	8	method	method	NOUN
ejpam-4864	6	9	,	,	PUNCT
ejpam-4864	6	10	the	the	DET
ejpam-4864	6	11	results	result	NOUN
ejpam-4864	6	12	are	be	AUX
ejpam-4864	6	13	displayed	display	VERB
ejpam-4864	6	14	in	in	ADP
ejpam-4864	6	15	graphs	graph	NOUN
ejpam-4864	6	16	.	.	PUNCT
ejpam-4864	7	1	accordingly	accordingly	ADV
ejpam-4864	7	2	,	,	PUNCT
ejpam-4864	7	3	the	the	DET
ejpam-4864	7	4	ntadm	ntadm	PROPN
ejpam-4864	7	5	can	can	AUX
ejpam-4864	7	6	be	be	AUX
ejpam-4864	7	7	very	very	ADV
ejpam-4864	7	8	easily	easily	ADV
ejpam-4864	7	9	applied	apply	VERB
ejpam-4864	7	10	to	to	ADP
ejpam-4864	7	11	other	other	ADJ
ejpam-4864	7	12	nonlinear	nonlinear	ADJ
ejpam-4864	7	13	models	model	NOUN
ejpam-4864	7	14	.	.	PUNCT
ejpam-4864	8	1	2020	2020	NUM
ejpam-4864	8	2	mathematics	mathematic	NOUN
ejpam-4864	8	3	subject	subject	NOUN
ejpam-4864	8	4	classifications	classification	NOUN
ejpam-4864	8	5	:	:	PUNCT
ejpam-4864	8	6	97m40	97m40	NUM
ejpam-4864	8	7	key	key	ADJ
ejpam-4864	8	8	words	word	NOUN
ejpam-4864	8	9	and	and	CCONJ
ejpam-4864	8	10	phrases	phrase	NOUN
ejpam-4864	8	11	:	:	PUNCT
ejpam-4864	8	12	natural	natural	ADJ
ejpam-4864	8	13	transform	transform	NOUN
ejpam-4864	8	14	,	,	PUNCT
ejpam-4864	8	15	adomian	adomian	NOUN
ejpam-4864	8	16	decomposition	decomposition	NOUN
ejpam-4864	8	17	method	method	NOUN
ejpam-4864	8	18	,	,	PUNCT
ejpam-4864	8	19	mathematical	mathematical	ADJ
ejpam-4864	8	20	epidemic	epidemic	NOUN
ejpam-4864	8	21	model	model	NOUN
ejpam-4864	8	22	,	,	PUNCT
ejpam-4864	8	23	analytical	analytical	ADJ
ejpam-4864	8	24	solution	solution	NOUN
ejpam-4864	8	25	1	1	NUM
ejpam-4864	8	26	.	.	PUNCT
ejpam-4864	9	1	introduction	introduction	NOUN
ejpam-4864	9	2	fractional	fractional	ADJ
ejpam-4864	9	3	calculus	calculus	NOUN
ejpam-4864	9	4	has	have	AUX
ejpam-4864	9	5	become	become	VERB
ejpam-4864	9	6	an	an	DET
ejpam-4864	9	7	important	important	ADJ
ejpam-4864	9	8	tool	tool	NOUN
ejpam-4864	9	9	for	for	ADP
ejpam-4864	9	10	modeling	modeling	NOUN
ejpam-4864	9	11	and	and	CCONJ
ejpam-4864	9	12	solving	solve	VERB
ejpam-4864	9	13	problems	problem	NOUN
ejpam-4864	9	14	in	in	ADP
ejpam-4864	9	15	various	various	ADJ
ejpam-4864	9	16	areas	area	NOUN
ejpam-4864	9	17	of	of	ADP
ejpam-4864	9	18	science	science	NOUN
ejpam-4864	9	19	,	,	PUNCT
ejpam-4864	9	20	including	include	VERB
ejpam-4864	9	21	biology	biology	NOUN
ejpam-4864	9	22	,	,	PUNCT
ejpam-4864	9	23	physics	physics	NOUN
ejpam-4864	9	24	,	,	PUNCT
ejpam-4864	9	25	chemistry	chemistry	NOUN
ejpam-4864	9	26	,	,	PUNCT
ejpam-4864	9	27	and	and	CCONJ
ejpam-4864	9	28	engineering	engineering	NOUN
ejpam-4864	9	29	,	,	PUNCT
ejpam-4864	9	30	among	among	ADP
ejpam-4864	9	31	others	other	NOUN
ejpam-4864	10	1	[	[	X
ejpam-4864	10	2	6–8	6–8	NUM
ejpam-4864	10	3	,	,	PUNCT
ejpam-4864	10	4	10	10	NUM
ejpam-4864	10	5	,	,	PUNCT
ejpam-4864	10	6	16	16	NUM
ejpam-4864	10	7	,	,	PUNCT
ejpam-4864	10	8	28	28	NUM
ejpam-4864	10	9	]	]	PUNCT
ejpam-4864	10	10	.	.	PUNCT
ejpam-4864	11	1	in	in	ADP
ejpam-4864	11	2	biology	biology	NOUN
ejpam-4864	11	3	,	,	PUNCT
ejpam-4864	11	4	for	for	ADP
ejpam-4864	11	5	example	example	NOUN
ejpam-4864	11	6	,	,	PUNCT
ejpam-4864	11	7	fractional	fractional	ADJ
ejpam-4864	11	8	calculus	calculus	NOUN
ejpam-4864	11	9	has	have	AUX
ejpam-4864	11	10	been	be	AUX
ejpam-4864	11	11	used	use	VERB
ejpam-4864	11	12	to	to	PART
ejpam-4864	11	13	model	model	VERB
ejpam-4864	11	14	the	the	DET
ejpam-4864	11	15	behavior	behavior	NOUN
ejpam-4864	11	16	of	of	ADP
ejpam-4864	11	17	cells	cell	NOUN
ejpam-4864	11	18	,	,	PUNCT
ejpam-4864	11	19	the	the	DET
ejpam-4864	11	20	spread	spread	NOUN
ejpam-4864	11	21	of	of	ADP
ejpam-4864	11	22	diseases	disease	NOUN
ejpam-4864	11	23	,	,	PUNCT
ejpam-4864	11	24	and	and	CCONJ
ejpam-4864	11	25	the	the	DET
ejpam-4864	11	26	dynamics	dynamic	NOUN
ejpam-4864	11	27	of	of	ADP
ejpam-4864	11	28	biological	biological	ADJ
ejpam-4864	11	29	systems	system	NOUN
ejpam-4864	11	30	.	.	PUNCT
ejpam-4864	12	1	in	in	ADP
ejpam-4864	12	2	physics	physics	NOUN
ejpam-4864	12	3	,	,	PUNCT
ejpam-4864	12	4	fractional	fractional	ADJ
ejpam-4864	12	5	calculus	calculus	NOUN
ejpam-4864	12	6	has	have	AUX
ejpam-4864	12	7	been	be	AUX
ejpam-4864	12	8	used	use	VERB
ejpam-4864	12	9	to	to	PART
ejpam-4864	12	10	model	model	VERB
ejpam-4864	12	11	the	the	DET
ejpam-4864	12	12	behavior	behavior	NOUN
ejpam-4864	12	13	of	of	ADP
ejpam-4864	12	14	fluids	fluid	NOUN
ejpam-4864	12	15	,	,	PUNCT
ejpam-4864	12	16	the	the	DET
ejpam-4864	12	17	diffusion	diffusion	NOUN
ejpam-4864	12	18	of	of	ADP
ejpam-4864	12	19	particles	particle	NOUN
ejpam-4864	12	20	,	,	PUNCT
ejpam-4864	12	21	and	and	CCONJ
ejpam-4864	12	22	the	the	DET
ejpam-4864	12	23	properties	property	NOUN
ejpam-4864	12	24	of	of	ADP
ejpam-4864	12	25	materials	material	NOUN
ejpam-4864	12	26	,	,	PUNCT
ejpam-4864	12	27	among	among	ADP
ejpam-4864	12	28	other	other	ADJ
ejpam-4864	12	29	things	thing	NOUN
ejpam-4864	12	30	.	.	PUNCT
ejpam-4864	13	1	one	one	NUM
ejpam-4864	13	2	of	of	ADP
ejpam-4864	13	3	the	the	DET
ejpam-4864	13	4	reasons	reason	NOUN
ejpam-4864	13	5	why	why	SCONJ
ejpam-4864	13	6	fractional	fractional	ADJ
ejpam-4864	13	7	calculus	calculus	NOUN
ejpam-4864	13	8	is	be	AUX
ejpam-4864	13	9	so	so	ADV
ejpam-4864	13	10	useful	useful	ADJ
ejpam-4864	13	11	in	in	ADP
ejpam-4864	13	12	modeling	model	VERB
ejpam-4864	13	13	these	these	DET
ejpam-4864	13	14	types	type	NOUN
ejpam-4864	13	15	of	of	ADP
ejpam-4864	13	16	problems	problem	NOUN
ejpam-4864	13	17	is	be	AUX
ejpam-4864	13	18	that	that	SCONJ
ejpam-4864	13	19	it	it	PRON
ejpam-4864	13	20	allows	allow	VERB
ejpam-4864	13	21	for	for	ADP
ejpam-4864	13	22	the	the	DET
ejpam-4864	13	23	modeling	modeling	NOUN
ejpam-4864	13	24	of	of	ADP
ejpam-4864	13	25	systems	system	NOUN
ejpam-4864	13	26	that	that	PRON
ejpam-4864	13	27	exhibit	exhibit	VERB
ejpam-4864	13	28	memory	memory	NOUN
ejpam-4864	13	29	or	or	CCONJ
ejpam-4864	13	30	hereditary	hereditary	ADJ
ejpam-4864	13	31	effects	effect	NOUN
ejpam-4864	13	32	.	.	PUNCT
ejpam-4864	14	1	traditional	traditional	ADJ
ejpam-4864	14	2	calculus	calculus	NOUN
ejpam-4864	14	3	assumes	assume	VERB
ejpam-4864	14	4	that	that	SCONJ
ejpam-4864	14	5	a	a	DET
ejpam-4864	14	6	system	system	NOUN
ejpam-4864	14	7	’s	’s	PART
ejpam-4864	14	8	behavior	behavior	NOUN
ejpam-4864	14	9	is	be	AUX
ejpam-4864	14	10	determined	determine	VERB
ejpam-4864	14	11	solely	solely	ADV
ejpam-4864	14	12	by	by	ADP
ejpam-4864	14	13	its	its	PRON
ejpam-4864	14	14	current	current	ADJ
ejpam-4864	14	15	state	state	NOUN
ejpam-4864	14	16	,	,	PUNCT
ejpam-4864	14	17	while	while	SCONJ
ejpam-4864	14	18	fractional	fractional	ADJ
ejpam-4864	14	19	∗corresponding	∗corresponding	NOUN
ejpam-4864	14	20	author	author	NOUN
ejpam-4864	14	21	.	.	PUNCT
ejpam-4864	15	1	doi	doi	NOUN
ejpam-4864	15	2	:	:	PUNCT
ejpam-4864	15	3	https://doi.org/10.29020/nybg.ejpam.v16i4.4864	https://doi.org/10.29020/nybg.ejpam.v16i4.4864	ADP
ejpam-4864	15	4	email	email	NOUN
ejpam-4864	15	5	addresses	address	NOUN
ejpam-4864	15	6	:	:	PUNCT
ejpam-4864	15	7	hamdy.ragab2013@yahoo.com	hamdy.ragab2013@yahoo.com	PROPN
ejpam-4864	15	8	(	(	PUNCT
ejpam-4864	15	9	h.	h.	PROPN
ejpam-4864	15	10	r.	r.	PROPN
ejpam-4864	15	11	abdl	abdl	PROPN
ejpam-4864	15	12	-	-	PUNCT
ejpam-4864	15	13	rahim	rahim	PROPN
ejpam-4864	15	14	)	)	PUNCT
ejpam-4864	15	15	,	,	PUNCT
ejpam-4864	15	16	hijaz.ahmad@neu.edu.tr	hijaz.ahmad@neu.edu.tr	PROPN
ejpam-4864	15	17	(	(	PUNCT
ejpam-4864	15	18	h.	h.	PROPN
ejpam-4864	15	19	ahmad	ahmad	PROPN
ejpam-4864	15	20	)	)	PUNCT
ejpam-4864	15	21	,	,	PUNCT
ejpam-4864	15	22	gismail@iu.edu.sa	gismail@iu.edu.sa	PROPN
ejpam-4864	15	23	(	(	PUNCT
ejpam-4864	15	24	g.	g.	PROPN
ejpam-4864	15	25	m.	m.	PROPN
ejpam-4864	15	26	ismail	ismail	PROPN
ejpam-4864	15	27	)	)	PUNCT
ejpam-4864	15	28	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-4864	15	29	2632	2632	NUM
ejpam-4864	16	1	©	©	ADP
ejpam-4864	16	2	2023	2023	NUM
ejpam-4864	16	3	ejpam	ejpam	NOUN
ejpam-4864	16	4	all	all	DET
ejpam-4864	16	5	rights	right	NOUN
ejpam-4864	16	6	reserved	reserve	VERB
ejpam-4864	16	7	.	.	PUNCT
ejpam-4864	17	1	h.	h.	PROPN
ejpam-4864	17	2	r.	r.	PROPN
ejpam-4864	17	3	abdl	abdl	PROPN
ejpam-4864	17	4	-	-	PUNCT
ejpam-4864	17	5	rahim	rahim	PROPN
ejpam-4864	17	6	et	et	PROPN
ejpam-4864	17	7	al	al	PROPN
ejpam-4864	17	8	.	.	PUNCT
ejpam-4864	17	9	/	/	SYM
ejpam-4864	17	10	eur	eur	PROPN
ejpam-4864	17	11	.	.	PUNCT
ejpam-4864	18	1	j.	j.	PROPN
ejpam-4864	18	2	pure	pure	PROPN
ejpam-4864	18	3	appl	appl	PROPN
ejpam-4864	18	4	.	.	PROPN
ejpam-4864	18	5	math	math	PROPN
ejpam-4864	18	6	,	,	PUNCT
ejpam-4864	18	7	16	16	NUM
ejpam-4864	18	8	(	(	PUNCT
ejpam-4864	18	9	4	4	NUM
ejpam-4864	18	10	)	)	PUNCT
ejpam-4864	18	11	(	(	PUNCT
ejpam-4864	18	12	2023	2023	NUM
ejpam-4864	18	13	)	)	PUNCT
ejpam-4864	18	14	,	,	PUNCT
ejpam-4864	18	15	2632	2632	NUM
ejpam-4864	18	16	-	-	SYM
ejpam-4864	18	17	2642	2642	NUM
ejpam-4864	18	18	2633	2633	NUM
ejpam-4864	18	19	calculus	calculus	NOUN
ejpam-4864	18	20	allows	allow	VERB
ejpam-4864	18	21	for	for	ADP
ejpam-4864	18	22	the	the	DET
ejpam-4864	18	23	influence	influence	NOUN
ejpam-4864	18	24	of	of	ADP
ejpam-4864	18	25	past	past	ADJ
ejpam-4864	18	26	states	state	NOUN
ejpam-4864	18	27	as	as	ADV
ejpam-4864	18	28	well	well	ADV
ejpam-4864	18	29	.	.	PUNCT
ejpam-4864	19	1	this	this	DET
ejpam-4864	19	2	ability	ability	NOUN
ejpam-4864	19	3	to	to	PART
ejpam-4864	19	4	model	model	VERB
ejpam-4864	19	5	systems	system	NOUN
ejpam-4864	19	6	with	with	ADP
ejpam-4864	19	7	memory	memory	NOUN
ejpam-4864	19	8	effects	effect	NOUN
ejpam-4864	19	9	has	have	AUX
ejpam-4864	19	10	made	make	VERB
ejpam-4864	19	11	fractional	fractional	ADJ
ejpam-4864	19	12	calculus	calculus	NOUN
ejpam-4864	19	13	an	an	DET
ejpam-4864	19	14	important	important	ADJ
ejpam-4864	19	15	tool	tool	NOUN
ejpam-4864	19	16	in	in	ADP
ejpam-4864	19	17	fields	field	NOUN
ejpam-4864	19	18	such	such	ADJ
ejpam-4864	19	19	as	as	ADP
ejpam-4864	19	20	control	control	NOUN
ejpam-4864	19	21	theory	theory	NOUN
ejpam-4864	19	22	,	,	PUNCT
ejpam-4864	19	23	signal	signal	ADJ
ejpam-4864	19	24	processing	processing	NOUN
ejpam-4864	19	25	,	,	PUNCT
ejpam-4864	19	26	and	and	CCONJ
ejpam-4864	19	27	image	image	NOUN
ejpam-4864	19	28	analysis	analysis	NOUN
ejpam-4864	19	29	,	,	PUNCT
ejpam-4864	19	30	where	where	SCONJ
ejpam-4864	19	31	the	the	DET
ejpam-4864	19	32	behavior	behavior	NOUN
ejpam-4864	19	33	of	of	ADP
ejpam-4864	19	34	systems	system	NOUN
ejpam-4864	19	35	depends	depend	VERB
ejpam-4864	19	36	on	on	ADP
ejpam-4864	19	37	past	past	ADJ
ejpam-4864	19	38	inputs	input	NOUN
ejpam-4864	19	39	and	and	CCONJ
ejpam-4864	19	40	states	state	NOUN
ejpam-4864	19	41	.	.	PUNCT
ejpam-4864	20	1	many	many	ADJ
ejpam-4864	20	2	challenges	challenge	NOUN
ejpam-4864	20	3	can	can	AUX
ejpam-4864	20	4	disrupt	disrupt	VERB
ejpam-4864	20	5	daily	daily	ADJ
ejpam-4864	20	6	life	life	NOUN
ejpam-4864	20	7	,	,	PUNCT
ejpam-4864	20	8	and	and	CCONJ
ejpam-4864	20	9	we	we	PRON
ejpam-4864	20	10	need	need	VERB
ejpam-4864	20	11	to	to	PART
ejpam-4864	20	12	control	control	VERB
ejpam-4864	20	13	these	these	DET
ejpam-4864	20	14	challenges	challenge	NOUN
ejpam-4864	20	15	in	in	ADP
ejpam-4864	20	16	order	order	NOUN
ejpam-4864	20	17	to	to	PART
ejpam-4864	20	18	improve	improve	VERB
ejpam-4864	20	19	our	our	PRON
ejpam-4864	20	20	quality	quality	NOUN
ejpam-4864	20	21	of	of	ADP
ejpam-4864	20	22	life	life	NOUN
ejpam-4864	20	23	.	.	PUNCT
ejpam-4864	21	1	one	one	NUM
ejpam-4864	21	2	of	of	ADP
ejpam-4864	21	3	these	these	DET
ejpam-4864	21	4	challenges	challenge	NOUN
ejpam-4864	21	5	is	be	AUX
ejpam-4864	21	6	the	the	DET
ejpam-4864	21	7	spread	spread	NOUN
ejpam-4864	21	8	of	of	ADP
ejpam-4864	21	9	epidemics	epidemic	NOUN
ejpam-4864	21	10	,	,	PUNCT
ejpam-4864	21	11	the	the	DET
ejpam-4864	21	12	most	most	ADV
ejpam-4864	21	13	recent	recent	ADJ
ejpam-4864	21	14	being	be	AUX
ejpam-4864	21	15	the	the	DET
ejpam-4864	21	16	covid-19	covid-19	PROPN
ejpam-4864	21	17	pandemic	pandemic	NOUN
ejpam-4864	21	18	.	.	PUNCT
ejpam-4864	22	1	many	many	ADJ
ejpam-4864	22	2	effective	effective	ADJ
ejpam-4864	22	3	methods	method	NOUN
ejpam-4864	22	4	for	for	ADP
ejpam-4864	22	5	obtaining	obtain	VERB
ejpam-4864	22	6	numerical	numerical	ADJ
ejpam-4864	22	7	and	and	CCONJ
ejpam-4864	22	8	analytical	analytical	ADJ
ejpam-4864	22	9	solutions	solution	NOUN
ejpam-4864	22	10	for	for	ADP
ejpam-4864	22	11	epidemic	epidemic	NOUN
ejpam-4864	22	12	mathematical	mathematical	ADJ
ejpam-4864	22	13	models	model	NOUN
ejpam-4864	22	14	with	with	ADP
ejpam-4864	22	15	fractional	fractional	ADJ
ejpam-4864	22	16	-	-	PUNCT
ejpam-4864	22	17	order	order	NOUN
ejpam-4864	22	18	derivatives	derivative	NOUN
ejpam-4864	22	19	have	have	AUX
ejpam-4864	22	20	recently	recently	ADV
ejpam-4864	22	21	been	be	AUX
ejpam-4864	22	22	used	use	VERB
ejpam-4864	22	23	,	,	PUNCT
ejpam-4864	22	24	for	for	ADP
ejpam-4864	22	25	example	example	NOUN
ejpam-4864	22	26	,	,	PUNCT
ejpam-4864	22	27	fractional	fractional	ADJ
ejpam-4864	22	28	natural	natural	ADJ
ejpam-4864	22	29	decomposition	decomposition	NOUN
ejpam-4864	22	30	method	method	NOUN
ejpam-4864	22	31	[	[	X
ejpam-4864	22	32	11	11	NUM
ejpam-4864	22	33	,	,	PUNCT
ejpam-4864	22	34	25	25	NUM
ejpam-4864	22	35	]	]	PUNCT
ejpam-4864	22	36	,	,	PUNCT
ejpam-4864	22	37	natural	natural	ADJ
ejpam-4864	22	38	transform	transform	NOUN
ejpam-4864	22	39	decomposition	decomposition	NOUN
ejpam-4864	22	40	method	method	NOUN
ejpam-4864	22	41	[	[	X
ejpam-4864	22	42	26	26	NUM
ejpam-4864	22	43	]	]	PUNCT
ejpam-4864	22	44	,	,	PUNCT
ejpam-4864	22	45	fractional	fractional	ADJ
ejpam-4864	22	46	residual	residual	ADJ
ejpam-4864	22	47	power	power	NOUN
ejpam-4864	22	48	series	series	NOUN
ejpam-4864	22	49	method	method	NOUN
ejpam-4864	22	50	[	[	X
ejpam-4864	22	51	14	14	NUM
ejpam-4864	22	52	]	]	PUNCT
ejpam-4864	22	53	,	,	PUNCT
ejpam-4864	22	54	fractional	fractional	ADJ
ejpam-4864	22	55	exponential	exponential	ADJ
ejpam-4864	22	56	function	function	NOUN
ejpam-4864	22	57	method	method	NOUN
ejpam-4864	22	58	[	[	X
ejpam-4864	22	59	4	4	NUM
ejpam-4864	22	60	]	]	PUNCT
ejpam-4864	22	61	,	,	PUNCT
ejpam-4864	22	62	laplace	laplace	NOUN
ejpam-4864	22	63	adomian	adomian	NOUN
ejpam-4864	22	64	decomposition	decomposition	NOUN
ejpam-4864	22	65	method	method	NOUN
ejpam-4864	22	66	[	[	X
ejpam-4864	22	67	9	9	NUM
ejpam-4864	22	68	]	]	PUNCT
ejpam-4864	22	69	,	,	PUNCT
ejpam-4864	22	70	natural	natural	ADJ
ejpam-4864	22	71	transform	transform	NOUN
ejpam-4864	22	72	homotopy	homotopy	NOUN
ejpam-4864	22	73	analysis	analysis	NOUN
ejpam-4864	22	74	method	method	NOUN
ejpam-4864	22	75	[	[	X
ejpam-4864	22	76	1	1	NUM
ejpam-4864	22	77	]	]	PUNCT
ejpam-4864	22	78	,	,	PUNCT
ejpam-4864	22	79	sumudu	sumudu	NOUN
ejpam-4864	22	80	transform	transform	VERB
ejpam-4864	22	81	[	[	X
ejpam-4864	22	82	30	30	NUM
ejpam-4864	22	83	]	]	PUNCT
ejpam-4864	22	84	,	,	PUNCT
ejpam-4864	22	85	fractional	fractional	ADJ
ejpam-4864	22	86	novel	novel	ADJ
ejpam-4864	22	87	analytical	analytical	ADJ
ejpam-4864	22	88	method	method	NOUN
ejpam-4864	22	89	[	[	X
ejpam-4864	22	90	5	5	NUM
ejpam-4864	22	91	]	]	PUNCT
ejpam-4864	22	92	,	,	PUNCT
ejpam-4864	22	93	fractional	fractional	PROPN
ejpam-4864	22	94	taylor	taylor	PROPN
ejpam-4864	22	95	series	series	PROPN
ejpam-4864	22	96	[	[	X
ejpam-4864	22	97	29	29	NUM
ejpam-4864	22	98	]	]	PUNCT
ejpam-4864	22	99	and	and	CCONJ
ejpam-4864	22	100	caputo	caputo	PROPN
ejpam-4864	22	101	-	-	PUNCT
ejpam-4864	22	102	katugampola	katugampola	PROPN
ejpam-4864	22	103	derivatives	derivative	NOUN
ejpam-4864	22	104	[	[	X
ejpam-4864	22	105	2	2	NUM
ejpam-4864	22	106	]	]	PUNCT
ejpam-4864	22	107	.	.	PUNCT
ejpam-4864	23	1	in	in	ADP
ejpam-4864	23	2	this	this	DET
ejpam-4864	23	3	paper	paper	NOUN
ejpam-4864	23	4	,	,	PUNCT
ejpam-4864	23	5	we	we	PRON
ejpam-4864	23	6	will	will	AUX
ejpam-4864	23	7	study	study	VERB
ejpam-4864	23	8	the	the	DET
ejpam-4864	23	9	epidemic	epidemic	PROPN
ejpam-4864	23	10	mathematical	mathematical	ADJ
ejpam-4864	23	11	model	model	NOUN
ejpam-4864	23	12	represented	represent	VERB
ejpam-4864	23	13	by	by	ADP
ejpam-4864	23	14	system	system	NOUN
ejpam-4864	23	15	of	of	ADP
ejpam-4864	23	16	nonlinear	nonlinear	ADJ
ejpam-4864	23	17	ordinary	ordinary	ADJ
ejpam-4864	23	18	nonlinear	nonlinear	ADJ
ejpam-4864	23	19	differentials	differential	NOUN
ejpam-4864	23	20	;	;	PUNCT
ejpam-4864	23	21	studied	study	VERB
ejpam-4864	23	22	recently	recently	ADV
ejpam-4864	23	23	through	through	ADP
ejpam-4864	23	24	[	[	X
ejpam-4864	23	25	13	13	NUM
ejpam-4864	23	26	,	,	PUNCT
ejpam-4864	23	27	18	18	NUM
ejpam-4864	23	28	]	]	PUNCT
ejpam-4864	23	29	,	,	PUNCT
ejpam-4864	23	30	where	where	SCONJ
ejpam-4864	23	31	gao	gao	PROPN
ejpam-4864	23	32	et	et	PROPN
ejpam-4864	23	33	al	al	PROPN
ejpam-4864	23	34	.	.	PUNCT
ejpam-4864	24	1	[	[	X
ejpam-4864	24	2	13	13	NUM
ejpam-4864	24	3	]	]	PUNCT
ejpam-4864	24	4	used	use	VERB
ejpam-4864	24	5	the	the	DET
ejpam-4864	24	6	(	(	PUNCT
ejpam-4864	24	7	q	q	NOUN
ejpam-4864	24	8	-	-	PUNCT
ejpam-4864	24	9	hatm	hatm	ADJ
ejpam-4864	24	10	)	)	PUNCT
ejpam-4864	24	11	,	,	PUNCT
ejpam-4864	24	12	while	while	SCONJ
ejpam-4864	24	13	liu	liu	PROPN
ejpam-4864	24	14	et	et	PROPN
ejpam-4864	24	15	al	al	PROPN
ejpam-4864	24	16	.	.	PUNCT
ejpam-4864	25	1	[	[	X
ejpam-4864	25	2	18	18	NUM
ejpam-4864	25	3	]	]	PUNCT
ejpam-4864	25	4	presented	present	VERB
ejpam-4864	25	5	some	some	DET
ejpam-4864	25	6	interesting	interesting	ADJ
ejpam-4864	25	7	results	result	NOUN
ejpam-4864	25	8	for	for	ADP
ejpam-4864	25	9	the	the	DET
ejpam-4864	25	10	projected	project	VERB
ejpam-4864	25	11	model	model	NOUN
ejpam-4864	25	12	,	,	PUNCT
ejpam-4864	25	13	we	we	PRON
ejpam-4864	25	14	present	present	VERB
ejpam-4864	25	15	its	its	PRON
ejpam-4864	25	16	treatment	treatment	NOUN
ejpam-4864	25	17	in	in	ADP
ejpam-4864	25	18	fractional	fractional	ADJ
ejpam-4864	25	19	order	order	NOUN
ejpam-4864	25	20	via	via	ADP
ejpam-4864	25	21	a	a	DET
ejpam-4864	25	22	novel	novel	ADJ
ejpam-4864	25	23	smart	smart	ADJ
ejpam-4864	25	24	technique	technique	NOUN
ejpam-4864	25	25	named	name	VERB
ejpam-4864	25	26	the	the	DET
ejpam-4864	25	27	natural	natural	ADJ
ejpam-4864	25	28	transform	transform	NOUN
ejpam-4864	25	29	adomian	adomian	NOUN
ejpam-4864	25	30	decomposition	decomposition	NOUN
ejpam-4864	25	31	method	method	NOUN
ejpam-4864	25	32	(	(	PUNCT
ejpam-4864	25	33	ntadm	ntadm	PROPN
ejpam-4864	25	34	)	)	PUNCT
ejpam-4864	25	35	.	.	PUNCT
ejpam-4864	26	1	the	the	DET
ejpam-4864	26	2	natural	natural	ADJ
ejpam-4864	26	3	transform	transform	NOUN
ejpam-4864	26	4	(	(	PUNCT
ejpam-4864	26	5	nt	not	PART
ejpam-4864	26	6	)	)	PUNCT
ejpam-4864	26	7	is	be	AUX
ejpam-4864	26	8	a	a	DET
ejpam-4864	26	9	mathematical	mathematical	ADJ
ejpam-4864	26	10	tool	tool	NOUN
ejpam-4864	26	11	that	that	PRON
ejpam-4864	26	12	was	be	AUX
ejpam-4864	26	13	originally	originally	ADV
ejpam-4864	26	14	defined	define	VERB
ejpam-4864	26	15	by	by	ADP
ejpam-4864	26	16	khan	khan	PROPN
ejpam-4864	26	17	and	and	CCONJ
ejpam-4864	26	18	khan	khan	PROPN
ejpam-4864	27	1	[	[	X
ejpam-4864	27	2	17	17	NUM
ejpam-4864	27	3	]	]	PUNCT
ejpam-4864	27	4	and	and	CCONJ
ejpam-4864	27	5	has	have	AUX
ejpam-4864	27	6	since	since	ADV
ejpam-4864	27	7	been	be	AUX
ejpam-4864	27	8	studied	study	VERB
ejpam-4864	27	9	by	by	ADP
ejpam-4864	27	10	other	other	ADJ
ejpam-4864	27	11	researchers	researcher	NOUN
ejpam-4864	27	12	[	[	X
ejpam-4864	27	13	3	3	NUM
ejpam-4864	27	14	,	,	PUNCT
ejpam-4864	27	15	15	15	NUM
ejpam-4864	27	16	,	,	PUNCT
ejpam-4864	27	17	19–22	19–22	NUM
ejpam-4864	27	18	,	,	PUNCT
ejpam-4864	27	19	24	24	NUM
ejpam-4864	27	20	]	]	PUNCT
ejpam-4864	27	21	.	.	PUNCT
ejpam-4864	28	1	the	the	DET
ejpam-4864	28	2	inverse	inverse	ADJ
ejpam-4864	28	3	natural	natural	ADJ
ejpam-4864	28	4	transform	transform	NOUN
ejpam-4864	28	5	has	have	AUX
ejpam-4864	28	6	also	also	ADV
ejpam-4864	28	7	been	be	AUX
ejpam-4864	28	8	defined	define	VERB
ejpam-4864	28	9	by	by	ADP
ejpam-4864	28	10	other	other	ADJ
ejpam-4864	28	11	researchers	researcher	NOUN
ejpam-4864	28	12	such	such	ADJ
ejpam-4864	28	13	as	as	ADP
ejpam-4864	28	14	in	in	ADP
ejpam-4864	28	15	[	[	X
ejpam-4864	28	16	12	12	NUM
ejpam-4864	28	17	,	,	PUNCT
ejpam-4864	28	18	23	23	NUM
ejpam-4864	28	19	,	,	PUNCT
ejpam-4864	28	20	27	27	NUM
ejpam-4864	28	21	]	]	PUNCT
ejpam-4864	28	22	.	.	PUNCT
ejpam-4864	29	1	2	2	X
ejpam-4864	29	2	.	.	X
ejpam-4864	29	3	basic	basic	ADJ
ejpam-4864	29	4	scheme	scheme	NOUN
ejpam-4864	29	5	of	of	ADP
ejpam-4864	29	6	the	the	DET
ejpam-4864	29	7	suggested	suggest	VERB
ejpam-4864	29	8	method	method	NOUN
ejpam-4864	29	9	we	we	PRON
ejpam-4864	29	10	will	will	AUX
ejpam-4864	29	11	consider	consider	VERB
ejpam-4864	29	12	the	the	DET
ejpam-4864	29	13	non	non	ADJ
ejpam-4864	29	14	-	-	ADJ
ejpam-4864	29	15	linear	linear	ADJ
ejpam-4864	29	16	equation	equation	NOUN
ejpam-4864	29	17	in	in	ADP
ejpam-4864	29	18	the	the	DET
ejpam-4864	29	19	form	form	NOUN
ejpam-4864	29	20	:	:	PUNCT
ejpam-4864	29	21	ℓϕ+	ℓϕ+	NOUN
ejpam-4864	29	22	rϕ+	rϕ+	NOUN
ejpam-4864	29	23	fϕ	fϕ	ADP
ejpam-4864	29	24	=	=	PROPN
ejpam-4864	29	25	ϖ(χ	ϖ(χ	PROPN
ejpam-4864	29	26	,	,	PUNCT
ejpam-4864	29	27	τ	τ	PROPN
ejpam-4864	29	28	)	)	PUNCT
ejpam-4864	29	29	,	,	PUNCT
ejpam-4864	29	30	(	(	PUNCT
ejpam-4864	29	31	1	1	X
ejpam-4864	29	32	)	)	PUNCT
ejpam-4864	29	33	where	where	SCONJ
ejpam-4864	29	34	ℓ	ℓ	PROPN
ejpam-4864	29	35	is	be	AUX
ejpam-4864	29	36	the	the	DET
ejpam-4864	29	37	lowest	low	ADJ
ejpam-4864	29	38	order	order	NOUN
ejpam-4864	29	39	derivative	derivative	NOUN
ejpam-4864	29	40	,	,	PUNCT
ejpam-4864	29	41	r	r	NOUN
ejpam-4864	29	42	is	be	AUX
ejpam-4864	29	43	a	a	DET
ejpam-4864	29	44	linear	linear	ADJ
ejpam-4864	29	45	operator	operator	NOUN
ejpam-4864	29	46	of	of	ADP
ejpam-4864	29	47	order	order	NOUN
ejpam-4864	29	48	lower	low	ADJ
ejpam-4864	29	49	than	than	ADP
ejpam-4864	29	50	ℓ	ℓ	NOUN
ejpam-4864	29	51	,	,	PUNCT
ejpam-4864	29	52	fϕ	fϕ	VERB
ejpam-4864	29	53	the	the	DET
ejpam-4864	29	54	nonlinear	nonlinear	ADJ
ejpam-4864	29	55	terms	term	NOUN
ejpam-4864	29	56	,	,	PUNCT
ejpam-4864	29	57	and	and	CCONJ
ejpam-4864	29	58	ϖ(χ	ϖ(χ	PROPN
ejpam-4864	29	59	,	,	PUNCT
ejpam-4864	29	60	τ	τ	X
ejpam-4864	29	61	)	)	PUNCT
ejpam-4864	29	62	is	be	AUX
ejpam-4864	29	63	the	the	DET
ejpam-4864	29	64	source	source	NOUN
ejpam-4864	29	65	term	term	NOUN
ejpam-4864	29	66	.	.	PUNCT
ejpam-4864	30	1	applying	apply	VERB
ejpam-4864	30	2	the	the	DET
ejpam-4864	30	3	nt	nt	NOUN
ejpam-4864	30	4	on	on	ADP
ejpam-4864	30	5	both	both	DET
ejpam-4864	30	6	sides	side	NOUN
ejpam-4864	30	7	of	of	ADP
ejpam-4864	30	8	eq	eq	PROPN
ejpam-4864	30	9	.	.	PUNCT
ejpam-4864	31	1	(	(	PUNCT
ejpam-4864	31	2	1	1	NUM
ejpam-4864	31	3	)	)	PUNCT
ejpam-4864	31	4	,	,	PUNCT
ejpam-4864	31	5	we	we	PRON
ejpam-4864	31	6	get	get	VERB
ejpam-4864	31	7	:	:	PUNCT
ejpam-4864	31	8	n	n	CCONJ
ejpam-4864	31	9	[	[	X
ejpam-4864	31	10	ℓϕ	ℓϕ	X
ejpam-4864	31	11	]	]	X
ejpam-4864	31	12	+	+	NOUN
ejpam-4864	31	13	n	n	X
ejpam-4864	31	14	[	[	X
ejpam-4864	31	15	rϕ	rϕ	X
ejpam-4864	31	16	]	]	X
ejpam-4864	31	17	+	+	NOUN
ejpam-4864	31	18	n	n	CCONJ
ejpam-4864	31	19	[	[	X
ejpam-4864	31	20	fϕ	fϕ	X
ejpam-4864	31	21	]	]	X
ejpam-4864	31	22	=	=	SYM
ejpam-4864	31	23	n	n	PROPN
ejpam-4864	32	1	[	[	X
ejpam-4864	32	2	ϖ(χ	ϖ(χ	PROPN
ejpam-4864	32	3	,	,	PUNCT
ejpam-4864	32	4	τ	τ	PROPN
ejpam-4864	32	5	)	)	PUNCT
ejpam-4864	32	6	]	]	PUNCT
ejpam-4864	32	7	.	.	PUNCT
ejpam-4864	33	1	(	(	PUNCT
ejpam-4864	33	2	2	2	X
ejpam-4864	33	3	)	)	PUNCT
ejpam-4864	33	4	using	use	VERB
ejpam-4864	33	5	the	the	DET
ejpam-4864	33	6	property	property	NOUN
ejpam-4864	33	7	of	of	ADP
ejpam-4864	33	8	the	the	DET
ejpam-4864	33	9	nt	nt	NOUN
ejpam-4864	33	10	,	,	PUNCT
ejpam-4864	33	11	as	as	ADV
ejpam-4864	33	12	well	well	ADV
ejpam-4864	33	13	as	as	ADP
ejpam-4864	33	14	the	the	DET
ejpam-4864	33	15	initial	initial	ADJ
ejpam-4864	33	16	conditions	condition	NOUN
ejpam-4864	33	17	and	and	CCONJ
ejpam-4864	33	18	arrangement	arrangement	NOUN
ejpam-4864	33	19	,	,	PUNCT
ejpam-4864	33	20	we	we	PRON
ejpam-4864	33	21	have	have	VERB
ejpam-4864	33	22	:	:	PUNCT
ejpam-4864	33	23	n	n	PROPN
ejpam-4864	34	1	[	[	X
ejpam-4864	34	2	ϕ(χ	ϕ(χ	PROPN
ejpam-4864	34	3	,	,	PUNCT
ejpam-4864	34	4	t	t	PROPN
ejpam-4864	34	5	)	)	PUNCT
ejpam-4864	34	6	]	]	PUNCT
ejpam-4864	35	1	=	=	PUNCT
ejpam-4864	35	2	1	1	NUM
ejpam-4864	35	3	s	s	NOUN
ejpam-4864	35	4	ϕ(χ	ϕ(χ	PROPN
ejpam-4864	35	5	,	,	PUNCT
ejpam-4864	35	6	0)+	0)+	NOUN
ejpam-4864	35	7	u	u	PROPN
ejpam-4864	35	8	s2	s2	PROPN
ejpam-4864	35	9	ϕ(χ	ϕ(χ	NOUN
ejpam-4864	35	10	,	,	PUNCT
ejpam-4864	35	11	0)+	0)+	NOUN
ejpam-4864	35	12	.	.	PUNCT
ejpam-4864	35	13	.	.	PUNCT
ejpam-4864	36	1	.+	.+	NOUN
ejpam-4864	36	2	u(n−1	u(n−1	NOUN
ejpam-4864	36	3	)	)	PUNCT
ejpam-4864	36	4	s(n−1	s(n−1	NOUN
ejpam-4864	36	5	)	)	PUNCT
ejpam-4864	36	6	ϕ(n−1)(χ	ϕ(n−1)(χ	ADV
ejpam-4864	36	7	,	,	PUNCT
ejpam-4864	36	8	0)−un	0)−un	PROPN
ejpam-4864	36	9	sn	sn	PROPN
ejpam-4864	36	10	n	n	PROPN
ejpam-4864	37	1	[	[	X
ejpam-4864	37	2	ϕ]−un	ϕ]−un	X
ejpam-4864	37	3	sn	sn	INTJ
ejpam-4864	37	4	n	n	CCONJ
ejpam-4864	38	1	[	[	X
ejpam-4864	38	2	fϕ]+	fϕ]+	ADJ
ejpam-4864	38	3	un	un	PROPN
ejpam-4864	38	4	sn	sn	PROPN
ejpam-4864	38	5	n	n	PROPN
ejpam-4864	38	6	[	[	X
ejpam-4864	38	7	ϖ(χ	ϖ(χ	PROPN
ejpam-4864	38	8	,	,	PUNCT
ejpam-4864	38	9	t	t	PROPN
ejpam-4864	38	10	)	)	PUNCT
ejpam-4864	38	11	]	]	PUNCT
ejpam-4864	38	12	.	.	PUNCT
ejpam-4864	39	1	(	(	PUNCT
ejpam-4864	39	2	3	3	X
ejpam-4864	39	3	)	)	PUNCT
ejpam-4864	39	4	via	via	ADP
ejpam-4864	39	5	adomian	adomian	NOUN
ejpam-4864	39	6	producers	producer	NOUN
ejpam-4864	39	7	,	,	PUNCT
ejpam-4864	39	8	we	we	PRON
ejpam-4864	39	9	have	have	VERB
ejpam-4864	39	10	ϕ(χ	ϕ(χ	PROPN
ejpam-4864	39	11	,	,	PUNCT
ejpam-4864	39	12	τ	τ	X
ejpam-4864	39	13	)	)	PUNCT
ejpam-4864	39	14	=	=	PUNCT
ejpam-4864	40	1	∞∑	∞∑	PRON
ejpam-4864	40	2	n=0	n=0	NUM
ejpam-4864	40	3	ϕn(χ	ϕn(χ	NUM
ejpam-4864	40	4	,	,	PUNCT
ejpam-4864	40	5	τ	τ	PROPN
ejpam-4864	40	6	)	)	PUNCT
ejpam-4864	40	7	,	,	PUNCT
ejpam-4864	40	8	(	(	PUNCT
ejpam-4864	40	9	4	4	X
ejpam-4864	40	10	)	)	PUNCT
ejpam-4864	40	11	h.	h.	PROPN
ejpam-4864	40	12	r.	r.	PROPN
ejpam-4864	40	13	abdl	abdl	PROPN
ejpam-4864	40	14	-	-	PUNCT
ejpam-4864	40	15	rahim	rahim	PROPN
ejpam-4864	40	16	et	et	PROPN
ejpam-4864	40	17	al	al	PROPN
ejpam-4864	40	18	.	.	PUNCT
ejpam-4864	40	19	/	/	SYM
ejpam-4864	40	20	eur	eur	PROPN
ejpam-4864	40	21	.	.	PUNCT
ejpam-4864	41	1	j.	j.	PROPN
ejpam-4864	41	2	pure	pure	PROPN
ejpam-4864	41	3	appl	appl	PROPN
ejpam-4864	41	4	.	.	PROPN
ejpam-4864	41	5	math	math	PROPN
ejpam-4864	41	6	,	,	PUNCT
ejpam-4864	41	7	16	16	NUM
ejpam-4864	41	8	(	(	PUNCT
ejpam-4864	41	9	4	4	NUM
ejpam-4864	41	10	)	)	PUNCT
ejpam-4864	41	11	(	(	PUNCT
ejpam-4864	41	12	2023	2023	NUM
ejpam-4864	41	13	)	)	PUNCT
ejpam-4864	41	14	,	,	PUNCT
ejpam-4864	41	15	2632	2632	NUM
ejpam-4864	41	16	-	-	SYM
ejpam-4864	41	17	2642	2642	NUM
ejpam-4864	41	18	2634	2634	NUM
ejpam-4864	41	19	and	and	CCONJ
ejpam-4864	41	20	the	the	DET
ejpam-4864	41	21	nonlinear	nonlinear	ADJ
ejpam-4864	41	22	term	term	NOUN
ejpam-4864	41	23	can	can	AUX
ejpam-4864	41	24	be	be	AUX
ejpam-4864	41	25	analyzed	analyze	VERB
ejpam-4864	41	26	as	as	ADP
ejpam-4864	41	27	:	:	PUNCT
ejpam-4864	41	28	fϕ(χ	fϕ(χ	NUM
ejpam-4864	41	29	,	,	PUNCT
ejpam-4864	41	30	τ	τ	X
ejpam-4864	41	31	)	)	PUNCT
ejpam-4864	41	32	=	=	PUNCT
ejpam-4864	42	1	∞∑	∞∑	PRON
ejpam-4864	42	2	n=0	n=0	NUM
ejpam-4864	42	3	∆n(χ	∆n(χ	PROPN
ejpam-4864	42	4	,	,	PUNCT
ejpam-4864	42	5	τ	τ	PROPN
ejpam-4864	42	6	)	)	PUNCT
ejpam-4864	42	7	,	,	PUNCT
ejpam-4864	42	8	(	(	PUNCT
ejpam-4864	42	9	5	5	X
ejpam-4864	42	10	)	)	PUNCT
ejpam-4864	42	11	where	where	SCONJ
ejpam-4864	42	12	∆n	∆n	PROPN
ejpam-4864	42	13	is	be	AUX
ejpam-4864	42	14	an	an	DET
ejpam-4864	42	15	adomian	adomian	NOUN
ejpam-4864	42	16	polynomial	polynomial	NOUN
ejpam-4864	42	17	of	of	ADP
ejpam-4864	42	18	ϕ0	ϕ0	NOUN
ejpam-4864	42	19	,	,	PUNCT
ejpam-4864	42	20	ϕ1	ϕ1	NOUN
ejpam-4864	42	21	,	,	PUNCT
ejpam-4864	42	22	.	.	PUNCT
ejpam-4864	42	23	.	.	PUNCT
ejpam-4864	42	24	.	.	PUNCT
ejpam-4864	43	1	,	,	PUNCT
ejpam-4864	43	2	ϕn	ϕn	INTJ
ejpam-4864	43	3	that	that	PRON
ejpam-4864	43	4	has	have	VERB
ejpam-4864	43	5	the	the	DET
ejpam-4864	43	6	following	follow	VERB
ejpam-4864	43	7	relation	relation	NOUN
ejpam-4864	43	8	:	:	PUNCT
ejpam-4864	44	1	∆n	∆n	PROPN
ejpam-4864	44	2	=	=	SYM
ejpam-4864	44	3	1	1	NUM
ejpam-4864	44	4	n	n	NUM
ejpam-4864	44	5	!	!	PUNCT
ejpam-4864	44	6	dn	dn	PROPN
ejpam-4864	44	7	dλn	dλn	PROPN
ejpam-4864	45	1	[	[	PUNCT
ejpam-4864	45	2	f	f	PROPN
ejpam-4864	45	3	∞∑	∞∑	ADJ
ejpam-4864	45	4	n=0	n=0	ADJ
ejpam-4864	45	5	λnϕn	λnϕn	NOUN
ejpam-4864	45	6	]	]	PUNCT
ejpam-4864	45	7	λ=0	λ=0	X
ejpam-4864	45	8	,	,	PUNCT
ejpam-4864	45	9	n	n	PROPN
ejpam-4864	45	10	=	=	SYM
ejpam-4864	45	11	0	0	NUM
ejpam-4864	45	12	,	,	PUNCT
ejpam-4864	45	13	1	1	NUM
ejpam-4864	45	14	,	,	PUNCT
ejpam-4864	45	15	2	2	NUM
ejpam-4864	45	16	,	,	PUNCT
ejpam-4864	45	17	3	3	NUM
ejpam-4864	45	18	,	,	PUNCT
ejpam-4864	45	19	.	.	PUNCT
ejpam-4864	45	20	.	.	PUNCT
ejpam-4864	45	21	.	.	PUNCT
ejpam-4864	45	22	.	.	PUNCT
ejpam-4864	46	1	(	(	PUNCT
ejpam-4864	46	2	6	6	X
ejpam-4864	46	3	)	)	PUNCT
ejpam-4864	46	4	substituting	substitute	VERB
ejpam-4864	46	5	eqs	eqs	PROPN
ejpam-4864	46	6	.	.	PUNCT
ejpam-4864	47	1	(	(	PUNCT
ejpam-4864	47	2	5	5	NUM
ejpam-4864	47	3	)	)	PUNCT
ejpam-4864	47	4	and	and	CCONJ
ejpam-4864	47	5	(	(	PUNCT
ejpam-4864	47	6	4	4	NUM
ejpam-4864	47	7	)	)	PUNCT
ejpam-4864	47	8	into	into	ADP
ejpam-4864	47	9	eq	eq	NOUN
ejpam-4864	47	10	.	.	PUNCT
ejpam-4864	48	1	(	(	PUNCT
ejpam-4864	48	2	3	3	X
ejpam-4864	48	3	)	)	PUNCT
ejpam-4864	48	4	yields	yield	NOUN
ejpam-4864	48	5	:	:	PUNCT
ejpam-4864	48	6	n	n	X
ejpam-4864	48	7	[	[	PUNCT
ejpam-4864	48	8	∞∑	∞∑	PROPN
ejpam-4864	48	9	n=0	n=0	NUM
ejpam-4864	48	10	ϕn(χ	ϕn(χ	NUM
ejpam-4864	48	11	,	,	PUNCT
ejpam-4864	48	12	τ	τ	X
ejpam-4864	48	13	)	)	PUNCT
ejpam-4864	48	14	]	]	PUNCT
ejpam-4864	49	1	=	=	PUNCT
ejpam-4864	49	2	1	1	NUM
ejpam-4864	49	3	s	s	NOUN
ejpam-4864	49	4	ϕ(χ	ϕ(χ	PROPN
ejpam-4864	49	5	,	,	PUNCT
ejpam-4864	49	6	0)+	0)+	NOUN
ejpam-4864	49	7	u	u	PROPN
ejpam-4864	49	8	s2	s2	NOUN
ejpam-4864	49	9	ϕ′(χ	ϕ′(χ	PROPN
ejpam-4864	49	10	,	,	PUNCT
ejpam-4864	49	11	0)+	0)+	NOUN
ejpam-4864	49	12	.	.	PUNCT
ejpam-4864	49	13	.	.	PUNCT
ejpam-4864	50	1	.+	.+	NOUN
ejpam-4864	50	2	u(n−1	u(n−1	NOUN
ejpam-4864	50	3	)	)	PUNCT
ejpam-4864	50	4	s(n−1	s(n−1	NOUN
ejpam-4864	50	5	)	)	PUNCT
ejpam-4864	50	6	ϕ(n−1)(χ	ϕ(n−1)(χ	ADV
ejpam-4864	50	7	,	,	PUNCT
ejpam-4864	50	8	0)−un	0)−un	PROPN
ejpam-4864	50	9	sn	sn	PROPN
ejpam-4864	50	10	n	n	PROPN
ejpam-4864	51	1	[	[	X
ejpam-4864	51	2	ϕ]−un	ϕ]−un	X
ejpam-4864	51	3	sn	sn	INTJ
ejpam-4864	51	4	n	n	CCONJ
ejpam-4864	51	5	[	[	PUNCT
ejpam-4864	51	6	∞∑	∞∑	PROPN
ejpam-4864	51	7	n=0	n=0	NUM
ejpam-4864	51	8	∆n]+	∆n]+	PROPN
ejpam-4864	51	9	un	un	PROPN
ejpam-4864	51	10	sn	sn	PROPN
ejpam-4864	51	11	n	n	PROPN
ejpam-4864	52	1	[	[	X
ejpam-4864	52	2	ϖ(χ	ϖ(χ	PROPN
ejpam-4864	52	3	,	,	PUNCT
ejpam-4864	52	4	τ	τ	PROPN
ejpam-4864	52	5	)	)	PUNCT
ejpam-4864	52	6	]	]	PUNCT
ejpam-4864	52	7	,	,	PUNCT
ejpam-4864	52	8	(	(	PUNCT
ejpam-4864	52	9	7	7	X
ejpam-4864	52	10	)	)	PUNCT
ejpam-4864	52	11	i.e	i.e	NOUN
ejpam-4864	52	12	,	,	PUNCT
ejpam-4864	52	13	n	n	X
ejpam-4864	52	14	[	[	PUNCT
ejpam-4864	52	15	∞∑	∞∑	PROPN
ejpam-4864	52	16	n=0	n=0	SYM
ejpam-4864	52	17	ϕ0(χ	ϕ0(χ	NOUN
ejpam-4864	52	18	,	,	PUNCT
ejpam-4864	52	19	τ	τ	X
ejpam-4864	52	20	)	)	PUNCT
ejpam-4864	52	21	]	]	PUNCT
ejpam-4864	53	1	=	=	PUNCT
ejpam-4864	53	2	1	1	NUM
ejpam-4864	53	3	s	s	NOUN
ejpam-4864	53	4	ϕ(χ	ϕ(χ	PROPN
ejpam-4864	53	5	,	,	PUNCT
ejpam-4864	53	6	0)+	0)+	NOUN
ejpam-4864	53	7	u	u	PROPN
ejpam-4864	53	8	s2	s2	NOUN
ejpam-4864	53	9	ϕ′(χ	ϕ′(χ	PROPN
ejpam-4864	53	10	,	,	PUNCT
ejpam-4864	53	11	0)+	0)+	NOUN
ejpam-4864	53	12	.	.	PUNCT
ejpam-4864	53	13	.	.	PUNCT
ejpam-4864	54	1	.+	.+	NOUN
ejpam-4864	54	2	u(n−1	u(n−1	NOUN
ejpam-4864	54	3	)	)	PUNCT
ejpam-4864	54	4	s(n−1	s(n−1	NOUN
ejpam-4864	54	5	)	)	PUNCT
ejpam-4864	54	6	ϕ(n−1)(χ	ϕ(n−1)(χ	ADV
ejpam-4864	54	7	,	,	PUNCT
ejpam-4864	54	8	0)+	0)+	NOUN
ejpam-4864	54	9	un	un	PROPN
ejpam-4864	54	10	sn	sn	PROPN
ejpam-4864	54	11	n	n	PROPN
ejpam-4864	54	12	[	[	X
ejpam-4864	54	13	ϖ(χ	ϖ(χ	PROPN
ejpam-4864	54	14	,	,	PUNCT
ejpam-4864	54	15	τ	τ	PROPN
ejpam-4864	54	16	)	)	PUNCT
ejpam-4864	54	17	]	]	PUNCT
ejpam-4864	55	1	=	=	PUNCT
ejpam-4864	55	2	y	y	PROPN
ejpam-4864	55	3	(	(	PUNCT
ejpam-4864	55	4	χ	χ	NOUN
ejpam-4864	55	5	,	,	PUNCT
ejpam-4864	55	6	u	u	NOUN
ejpam-4864	55	7	)	)	PUNCT
ejpam-4864	55	8	.	.	PUNCT
ejpam-4864	56	1	(	(	PUNCT
ejpam-4864	56	2	8)	8)	NUM
ejpam-4864	56	3	so	so	ADV
ejpam-4864	56	4	,	,	PUNCT
ejpam-4864	56	5	n	n	PROPN
ejpam-4864	56	6	[	[	X
ejpam-4864	56	7	ϕ1(χ	ϕ1(χ	PROPN
ejpam-4864	56	8	,	,	PUNCT
ejpam-4864	56	9	τ	τ	PROPN
ejpam-4864	56	10	)	)	PUNCT
ejpam-4864	56	11	]	]	PUNCT
ejpam-4864	57	1	=	=	PUNCT
ejpam-4864	57	2	−un	−un	X
ejpam-4864	57	3	sn	sn	PROPN
ejpam-4864	57	4	n	n	CCONJ
ejpam-4864	57	5	[	[	X
ejpam-4864	57	6	rϕ0(x	rϕ0(x	NOUN
ejpam-4864	57	7	,	,	PUNCT
ejpam-4864	57	8	t)]−	t)]−	PRON
ejpam-4864	57	9	un	un	PROPN
ejpam-4864	57	10	sn	sn	PROPN
ejpam-4864	57	11	n	n	PROPN
ejpam-4864	57	12	[	[	X
ejpam-4864	57	13	∆0	∆0	X
ejpam-4864	57	14	]	]	PUNCT
ejpam-4864	57	15	,	,	PUNCT
ejpam-4864	57	16	(	(	PUNCT
ejpam-4864	57	17	9a	9a	NOUN
ejpam-4864	57	18	)	)	PUNCT
ejpam-4864	57	19	n	n	CCONJ
ejpam-4864	58	1	[	[	X
ejpam-4864	58	2	ϕ2(χ	ϕ2(χ	PROPN
ejpam-4864	58	3	,	,	PUNCT
ejpam-4864	58	4	τ	τ	PROPN
ejpam-4864	58	5	)	)	PUNCT
ejpam-4864	58	6	]	]	PUNCT
ejpam-4864	59	1	=	=	PUNCT
ejpam-4864	59	2	−un	−un	X
ejpam-4864	59	3	sn	sn	PROPN
ejpam-4864	59	4	n	n	CCONJ
ejpam-4864	59	5	[	[	X
ejpam-4864	59	6	rϕ1(x	rϕ1(x	NOUN
ejpam-4864	59	7	,	,	PUNCT
ejpam-4864	59	8	t)]−	t)]−	NOUN
ejpam-4864	59	9	un	un	PROPN
ejpam-4864	59	10	sn	sn	PROPN
ejpam-4864	59	11	n	n	PROPN
ejpam-4864	59	12	[	[	X
ejpam-4864	59	13	∆1	∆1	X
ejpam-4864	59	14	]	]	X
ejpam-4864	59	15	.	.	PUNCT
ejpam-4864	60	1	(	(	PUNCT
ejpam-4864	60	2	9b	9b	NOUN
ejpam-4864	60	3	)	)	PUNCT
ejpam-4864	60	4	finally	finally	ADV
ejpam-4864	60	5	,	,	PUNCT
ejpam-4864	60	6	we	we	PRON
ejpam-4864	60	7	obtain	obtain	VERB
ejpam-4864	60	8	:	:	PUNCT
ejpam-4864	60	9	n	n	PROPN
ejpam-4864	61	1	[	[	X
ejpam-4864	61	2	ϕn+1(χ	ϕn+1(χ	PROPN
ejpam-4864	61	3	,	,	PUNCT
ejpam-4864	61	4	τ	τ	PROPN
ejpam-4864	61	5	)	)	PUNCT
ejpam-4864	61	6	]	]	PUNCT
ejpam-4864	62	1	=	=	PUNCT
ejpam-4864	62	2	−un	−un	X
ejpam-4864	62	3	sn	sn	NOUN
ejpam-4864	62	4	n	n	CCONJ
ejpam-4864	62	5	[	[	X
ejpam-4864	62	6	rϕn(x	rϕn(x	PROPN
ejpam-4864	62	7	,	,	PUNCT
ejpam-4864	62	8	t)]−	t)]−	PROPN
ejpam-4864	62	9	un	un	PROPN
ejpam-4864	62	10	sn	sn	PROPN
ejpam-4864	62	11	n	n	PROPN
ejpam-4864	63	1	[	[	X
ejpam-4864	63	2	∆n	∆n	PROPN
ejpam-4864	63	3	]	]	X
ejpam-4864	63	4	,	,	PUNCT
ejpam-4864	63	5	n	n	X
ejpam-4864	63	6	≥	≥	X
ejpam-4864	63	7	0	0	NUM
ejpam-4864	63	8	(	(	PUNCT
ejpam-4864	63	9	10	10	NUM
ejpam-4864	63	10	)	)	PUNCT
ejpam-4864	63	11	by	by	ADP
ejpam-4864	63	12	using	use	VERB
ejpam-4864	63	13	the	the	DET
ejpam-4864	63	14	inverse	inverse	NOUN
ejpam-4864	63	15	nt	not	PART
ejpam-4864	63	16	to	to	ADP
ejpam-4864	63	17	(	(	PUNCT
ejpam-4864	63	18	8)	8)	NUM
ejpam-4864	63	19	and	and	CCONJ
ejpam-4864	63	20	(	(	PUNCT
ejpam-4864	63	21	10	10	NUM
ejpam-4864	63	22	)	)	PUNCT
ejpam-4864	63	23	,	,	PUNCT
ejpam-4864	63	24	we	we	PRON
ejpam-4864	63	25	obtain	obtain	VERB
ejpam-4864	63	26	:	:	PUNCT
ejpam-4864	63	27	ϕ0(χ	ϕ0(χ	NUM
ejpam-4864	63	28	,	,	PUNCT
ejpam-4864	63	29	τ	τ	X
ejpam-4864	63	30	)	)	PUNCT
ejpam-4864	63	31	=	=	SYM
ejpam-4864	63	32	℘(χ	℘(χ	NOUN
ejpam-4864	63	33	,	,	PUNCT
ejpam-4864	63	34	τ	τ	PROPN
ejpam-4864	63	35	)	)	PUNCT
ejpam-4864	63	36	,	,	PUNCT
ejpam-4864	63	37	(	(	PUNCT
ejpam-4864	63	38	11a	11a	NOUN
ejpam-4864	63	39	)	)	PUNCT
ejpam-4864	63	40	ϕn+1(χ	ϕn+1(χ	PROPN
ejpam-4864	63	41	,	,	PUNCT
ejpam-4864	63	42	τ	τ	X
ejpam-4864	63	43	)	)	PUNCT
ejpam-4864	63	44	=	=	SYM
ejpam-4864	64	1	−n−1	−n−1	PROPN
ejpam-4864	64	2	[	[	PUNCT
ejpam-4864	64	3	un	un	PROPN
ejpam-4864	64	4	sn	sn	PROPN
ejpam-4864	64	5	n	n	PROPN
ejpam-4864	65	1	[	[	X
ejpam-4864	65	2	rϕn(x	rϕn(x	PROPN
ejpam-4864	65	3	,	,	PUNCT
ejpam-4864	65	4	t	t	PROPN
ejpam-4864	65	5	)	)	PUNCT
ejpam-4864	65	6	]	]	PUNCT
ejpam-4864	66	1	+	+	CCONJ
ejpam-4864	67	1	un	un	PROPN
ejpam-4864	67	2	sn	sn	PROPN
ejpam-4864	67	3	n	n	PROPN
ejpam-4864	67	4	[	[	X
ejpam-4864	67	5	∆n	∆n	PROPN
ejpam-4864	67	6	]	]	X
ejpam-4864	67	7	]	]	X
ejpam-4864	67	8	,	,	PUNCT
ejpam-4864	67	9	n	n	X
ejpam-4864	67	10	≥	≥	NOUN
ejpam-4864	67	11	0	0	NUM
ejpam-4864	67	12	.	.	PUNCT
ejpam-4864	67	13	(	(	PUNCT
ejpam-4864	67	14	11b	11b	NOUN
ejpam-4864	67	15	)	)	PUNCT
ejpam-4864	67	16	where	where	SCONJ
ejpam-4864	67	17	℘(χ	℘(χ	NOUN
ejpam-4864	67	18	,	,	PUNCT
ejpam-4864	67	19	τ	τ	X
ejpam-4864	67	20	)	)	PUNCT
ejpam-4864	67	21	represents	represent	VERB
ejpam-4864	67	22	the	the	DET
ejpam-4864	67	23	term	term	NOUN
ejpam-4864	67	24	that	that	PRON
ejpam-4864	67	25	is	be	AUX
ejpam-4864	67	26	arising	arise	VERB
ejpam-4864	67	27	from	from	ADP
ejpam-4864	67	28	the	the	DET
ejpam-4864	67	29	source	source	NOUN
ejpam-4864	67	30	term	term	NOUN
ejpam-4864	67	31	and	and	CCONJ
ejpam-4864	67	32	prescribed	prescribed	ADJ
ejpam-4864	67	33	initial	initial	ADJ
ejpam-4864	67	34	conductions	conduction	NOUN
ejpam-4864	67	35	.	.	PUNCT
ejpam-4864	68	1	by	by	ADP
ejpam-4864	68	2	using	use	VERB
ejpam-4864	68	3	the	the	DET
ejpam-4864	68	4	inverse	inverse	NOUN
ejpam-4864	68	5	nt	not	PART
ejpam-4864	68	6	to	to	ADP
ejpam-4864	68	7	ϖ(χ	ϖ(χ	PROPN
ejpam-4864	68	8	,	,	PUNCT
ejpam-4864	68	9	τ	τ	PROPN
ejpam-4864	68	10	)	)	PUNCT
ejpam-4864	68	11	and	and	CCONJ
ejpam-4864	68	12	the	the	DET
ejpam-4864	68	13	given	give	VERB
ejpam-4864	68	14	conditions	condition	NOUN
ejpam-4864	68	15	we	we	PRON
ejpam-4864	68	16	get	get	VERB
ejpam-4864	68	17	:	:	PUNCT
ejpam-4864	68	18	δ	δ	X
ejpam-4864	68	19	=	=	PUNCT
ejpam-4864	68	20	η	η	PROPN
ejpam-4864	68	21	+	+	PROPN
ejpam-4864	68	22	n−1[ϖ(χ	n−1[ϖ(χ	PROPN
ejpam-4864	68	23	,	,	PUNCT
ejpam-4864	68	24	τ	τ	PROPN
ejpam-4864	68	25	)	)	PUNCT
ejpam-4864	68	26	]	]	PUNCT
ejpam-4864	68	27	,	,	PUNCT
ejpam-4864	68	28	(	(	PUNCT
ejpam-4864	68	29	12	12	NUM
ejpam-4864	68	30	)	)	PUNCT
ejpam-4864	69	1	where	where	SCONJ
ejpam-4864	69	2	δ	δ	X
ejpam-4864	69	3	=	=	SYM
ejpam-4864	69	4	δ0	δ0	NOUN
ejpam-4864	69	5	+	+	X
ejpam-4864	69	6	δ1	δ1	NOUN
ejpam-4864	69	7	+	+	CCONJ
ejpam-4864	69	8	.	.	PUNCT
ejpam-4864	69	9	.	.	PUNCT
ejpam-4864	70	1	.+	.+	NOUN
ejpam-4864	70	2	δn	δn	PROPN
ejpam-4864	70	3	,	,	PUNCT
ejpam-4864	70	4	(	(	PUNCT
ejpam-4864	70	5	13	13	NUM
ejpam-4864	70	6	)	)	PUNCT
ejpam-4864	70	7	ϕ0	ϕ0	NOUN
ejpam-4864	70	8	=	=	SYM
ejpam-4864	70	9	δk	δk	PROPN
ejpam-4864	70	10	+	+	X
ejpam-4864	70	11	.	.	PUNCT
ejpam-4864	70	12	.	.	PUNCT
ejpam-4864	71	1	.+	.+	NOUN
ejpam-4864	71	2	δk+1	δk+1	NOUN
ejpam-4864	71	3	.	.	PUNCT
ejpam-4864	72	1	(	(	PUNCT
ejpam-4864	72	2	14	14	NUM
ejpam-4864	72	3	)	)	PUNCT
ejpam-4864	72	4	finally	finally	ADV
ejpam-4864	72	5	,	,	PUNCT
ejpam-4864	72	6	we	we	PRON
ejpam-4864	72	7	proof	proof	VERB
ejpam-4864	72	8	that	that	SCONJ
ejpam-4864	72	9	ϕ0	ϕ0	NOUN
ejpam-4864	72	10	satisfy	satisfy	VERB
ejpam-4864	72	11	the	the	DET
ejpam-4864	72	12	original	original	ADJ
ejpam-4864	72	13	equation	equation	NOUN
ejpam-4864	72	14	.	.	PUNCT
ejpam-4864	73	1	h.	h.	PROPN
ejpam-4864	73	2	r.	r.	PROPN
ejpam-4864	73	3	abdl	abdl	PROPN
ejpam-4864	73	4	-	-	PUNCT
ejpam-4864	73	5	rahim	rahim	PROPN
ejpam-4864	73	6	et	et	PROPN
ejpam-4864	73	7	al	al	PROPN
ejpam-4864	73	8	.	.	PUNCT
ejpam-4864	73	9	/	/	SYM
ejpam-4864	73	10	eur	eur	PROPN
ejpam-4864	73	11	.	.	PUNCT
ejpam-4864	74	1	j.	j.	PROPN
ejpam-4864	74	2	pure	pure	PROPN
ejpam-4864	74	3	appl	appl	PROPN
ejpam-4864	74	4	.	.	PROPN
ejpam-4864	74	5	math	math	PROPN
ejpam-4864	74	6	,	,	PUNCT
ejpam-4864	74	7	16	16	NUM
ejpam-4864	74	8	(	(	PUNCT
ejpam-4864	74	9	4	4	NUM
ejpam-4864	74	10	)	)	PUNCT
ejpam-4864	74	11	(	(	PUNCT
ejpam-4864	74	12	2023	2023	NUM
ejpam-4864	74	13	)	)	PUNCT
ejpam-4864	74	14	,	,	PUNCT
ejpam-4864	74	15	2632	2632	NUM
ejpam-4864	74	16	-	-	SYM
ejpam-4864	74	17	2642	2642	NUM
ejpam-4864	74	18	2635	2635	NUM
ejpam-4864	74	19	3	3	NUM
ejpam-4864	74	20	.	.	PUNCT
ejpam-4864	75	1	the	the	DET
ejpam-4864	75	2	epidemic	epidemic	PROPN
ejpam-4864	75	3	mathematical	mathematical	ADJ
ejpam-4864	75	4	model	model	NOUN
ejpam-4864	75	5	formulation	formulation	NOUN
ejpam-4864	75	6	now	now	ADV
ejpam-4864	75	7	,	,	PUNCT
ejpam-4864	75	8	we	we	PRON
ejpam-4864	75	9	consider	consider	VERB
ejpam-4864	75	10	the	the	DET
ejpam-4864	75	11	epidemic	epidemic	NOUN
ejpam-4864	75	12	mathematical	mathematical	ADJ
ejpam-4864	75	13	model	model	NOUN
ejpam-4864	75	14	within	within	ADP
ejpam-4864	75	15	fractional	fractional	ADJ
ejpam-4864	75	16	order	order	NOUN
ejpam-4864	75	17	represented	represent	VERB
ejpam-4864	75	18	by	by	ADP
ejpam-4864	75	19	a	a	DET
ejpam-4864	75	20	system	system	NOUN
ejpam-4864	75	21	of	of	ADP
ejpam-4864	75	22	nonlinear	nonlinear	ADJ
ejpam-4864	75	23	differential	differential	ADJ
ejpam-4864	75	24	equations	equation	NOUN
ejpam-4864	75	25	,	,	PUNCT
ejpam-4864	75	26	and	and	CCONJ
ejpam-4864	75	27	consists	consist	VERB
ejpam-4864	75	28	of	of	ADP
ejpam-4864	75	29	four	four	NUM
ejpam-4864	75	30	categories	category	NOUN
ejpam-4864	75	31	of	of	ADP
ejpam-4864	75	32	individuals	individual	NOUN
ejpam-4864	75	33	ι(τ	ι(τ	ADJ
ejpam-4864	75	34	)	)	PUNCT
ejpam-4864	75	35	,	,	PUNCT
ejpam-4864	75	36	a(τ	a(τ	PROPN
ejpam-4864	75	37	)	)	PUNCT
ejpam-4864	75	38	,	,	PUNCT
ejpam-4864	75	39	γ(τ	γ(τ	PROPN
ejpam-4864	75	40	)	)	PUNCT
ejpam-4864	75	41	,	,	PUNCT
ejpam-4864	75	42	and	and	CCONJ
ejpam-4864	75	43	α(τ	α(τ	NUM
ejpam-4864	75	44	)	)	PUNCT
ejpam-4864	75	45	.	.	PUNCT
ejpam-4864	76	1	the	the	DET
ejpam-4864	76	2	description	description	NOUN
ejpam-4864	76	3	of	of	ADP
ejpam-4864	76	4	the	the	DET
ejpam-4864	76	5	interactions	interaction	NOUN
ejpam-4864	76	6	between	between	ADP
ejpam-4864	76	7	the	the	DET
ejpam-4864	76	8	variables	variable	NOUN
ejpam-4864	76	9	in	in	ADP
ejpam-4864	76	10	this	this	DET
ejpam-4864	76	11	system	system	NOUN
ejpam-4864	76	12	is	be	AUX
ejpam-4864	76	13	done	do	VERB
ejpam-4864	76	14	by	by	ADP
ejpam-4864	76	15	using	use	VERB
ejpam-4864	76	16	the	the	DET
ejpam-4864	76	17	given	give	VERB
ejpam-4864	76	18	nonlinear	nonlinear	ADJ
ejpam-4864	76	19	system	system	NOUN
ejpam-4864	76	20	[	[	X
ejpam-4864	76	21	13	13	NUM
ejpam-4864	76	22	,	,	PUNCT
ejpam-4864	76	23	18	18	NUM
ejpam-4864	76	24	]	]	PUNCT
ejpam-4864	76	25	:	:	PUNCT
ejpam-4864	76	26	dε	dε	VERB
ejpam-4864	76	27	τ	τ	X
ejpam-4864	76	28	ι(τ	ι(τ	ADJ
ejpam-4864	76	29	)	)	PUNCT
ejpam-4864	76	30	=	=	SYM
ejpam-4864	76	31	−ρι(τ)[a(τ	−ρι(τ)[a(τ	NOUN
ejpam-4864	76	32	)	)	PUNCT
ejpam-4864	77	1	+	+	NUM
ejpam-4864	77	2	α(τ	α(τ	NUM
ejpam-4864	77	3	)	)	PUNCT
ejpam-4864	77	4	]	]	PUNCT
ejpam-4864	77	5	,	,	PUNCT
ejpam-4864	77	6	(	(	PUNCT
ejpam-4864	77	7	15a	15a	NOUN
ejpam-4864	77	8	)	)	PUNCT
ejpam-4864	77	9	dε	dε	VERB
ejpam-4864	77	10	ta(τ	ta(τ	NOUN
ejpam-4864	77	11	)	)	PUNCT
ejpam-4864	77	12	=	=	SYM
ejpam-4864	77	13	ρι(τ)[a(τ	ρι(τ)[a(τ	PROPN
ejpam-4864	77	14	)	)	PUNCT
ejpam-4864	78	1	+	+	CCONJ
ejpam-4864	78	2	α(τ)]−	α(τ)]−	NOUN
ejpam-4864	78	3	βa(τ	βa(τ	PUNCT
ejpam-4864	78	4	)	)	PUNCT
ejpam-4864	78	5	,	,	PUNCT
ejpam-4864	78	6	(	(	PUNCT
ejpam-4864	78	7	15b	15b	X
ejpam-4864	78	8	)	)	PUNCT
ejpam-4864	78	9	dε	dε	VERB
ejpam-4864	78	10	τγ(τ	τγ(τ	PRON
ejpam-4864	78	11	)	)	PUNCT
ejpam-4864	78	12	=	=	SYM
ejpam-4864	78	13	β1a(τ)−	β1a(τ)−	PUNCT
ejpam-4864	78	14	µγ(τ	µγ(τ	NOUN
ejpam-4864	78	15	)	)	PUNCT
ejpam-4864	78	16	,	,	PUNCT
ejpam-4864	78	17	(	(	PUNCT
ejpam-4864	78	18	15c	15c	NOUN
ejpam-4864	78	19	)	)	PUNCT
ejpam-4864	78	20	dε	dε	NOUN
ejpam-4864	78	21	τα(τ	τα(τ	NUM
ejpam-4864	78	22	)	)	PUNCT
ejpam-4864	79	1	=	=	SYM
ejpam-4864	79	2	β2a(τ)−	β2a(τ)−	NOUN
ejpam-4864	79	3	µα(τ	µα(τ	NUM
ejpam-4864	79	4	)	)	PUNCT
ejpam-4864	79	5	,	,	PUNCT
ejpam-4864	79	6	0	0	NUM
ejpam-4864	79	7	<	<	X
ejpam-4864	79	8	ε	ε	X
ejpam-4864	79	9	<	<	X
ejpam-4864	79	10	1	1	NUM
ejpam-4864	79	11	.	.	PUNCT
ejpam-4864	79	12	(	(	PUNCT
ejpam-4864	79	13	15d	15d	NUM
ejpam-4864	79	14	)	)	PUNCT
ejpam-4864	79	15	with	with	ADP
ejpam-4864	79	16	the	the	DET
ejpam-4864	79	17	initial	initial	ADJ
ejpam-4864	79	18	conditions	condition	NOUN
ejpam-4864	79	19	ι(0	ι(0	PROPN
ejpam-4864	79	20	)	)	PUNCT
ejpam-4864	79	21	=	=	SYM
ejpam-4864	79	22	t0	t0	NOUN
ejpam-4864	79	23	=	=	PUNCT
ejpam-4864	80	1	11.081×	11.081×	NUM
ejpam-4864	80	2	106	106	NUM
ejpam-4864	80	3	,	,	PUNCT
ejpam-4864	80	4	a(0	a(0	PROPN
ejpam-4864	80	5	)	)	PUNCT
ejpam-4864	80	6	=	=	SYM
ejpam-4864	80	7	a0	a0	NOUN
ejpam-4864	80	8	=	=	PROPN
ejpam-4864	80	9	3.62	3.62	NUM
ejpam-4864	80	10	,	,	PUNCT
ejpam-4864	80	11	α(0	α(0	NOUN
ejpam-4864	80	12	)	)	PUNCT
ejpam-4864	81	1	=	=	SYM
ejpam-4864	82	1	α0	α0	VERB
ejpam-4864	82	2	=	=	SYM
ejpam-4864	82	3	4.13	4.13	NUM
ejpam-4864	82	4	,	,	PUNCT
ejpam-4864	82	5	and	and	CCONJ
ejpam-4864	82	6	γ(0	γ(0	PROPN
ejpam-4864	82	7	)	)	PUNCT
ejpam-4864	83	1	=	=	SYM
ejpam-4864	83	2	γ0	γ0	NOUN
ejpam-4864	83	3	=	=	SYM
ejpam-4864	83	4	0	0	NUM
ejpam-4864	83	5	.	.	PUNCT
ejpam-4864	84	1	(	(	PUNCT
ejpam-4864	84	2	16	16	NUM
ejpam-4864	84	3	)	)	PUNCT
ejpam-4864	84	4	the	the	DET
ejpam-4864	84	5	epidemic	epidemic	PROPN
ejpam-4864	84	6	mathematical	mathematical	ADJ
ejpam-4864	84	7	model	model	NOUN
ejpam-4864	84	8	system	system	NOUN
ejpam-4864	84	9	contains	contain	VERB
ejpam-4864	84	10	four	four	NUM
ejpam-4864	84	11	components	component	NOUN
ejpam-4864	84	12	,	,	PUNCT
ejpam-4864	84	13	representing	represent	VERB
ejpam-4864	84	14	individuals	individual	NOUN
ejpam-4864	84	15	of	of	ADP
ejpam-4864	84	16	different	different	ADJ
ejpam-4864	84	17	infection	infection	NOUN
ejpam-4864	84	18	status	status	NOUN
ejpam-4864	84	19	:	:	PUNCT
ejpam-4864	84	20	ι(τ	ι(τ	ADJ
ejpam-4864	84	21	)	)	PUNCT
ejpam-4864	84	22	individuals	individual	NOUN
ejpam-4864	84	23	susceptible	susceptible	ADJ
ejpam-4864	84	24	,	,	PUNCT
ejpam-4864	84	25	a(τ	a(τ	PROPN
ejpam-4864	84	26	)	)	PUNCT
ejpam-4864	84	27	asymptomatic	asymptomatic	ADJ
ejpam-4864	84	28	infectious	infectious	ADJ
ejpam-4864	84	29	,	,	PUNCT
ejpam-4864	84	30	γ(τ	γ(τ	PROPN
ejpam-4864	84	31	)	)	PUNCT
ejpam-4864	84	32	reported	report	VERB
ejpam-4864	84	33	asymptomatic	asymptomatic	ADJ
ejpam-4864	84	34	infectious	infectious	ADJ
ejpam-4864	84	35	,	,	PUNCT
ejpam-4864	84	36	α(τ	α(τ	NUM
ejpam-4864	84	37	)	)	PUNCT
ejpam-4864	84	38	unreported	unreported	ADJ
ejpam-4864	84	39	asymptomatic	asymptomatic	ADJ
ejpam-4864	84	40	infectious	infectious	ADJ
ejpam-4864	84	41	.	.	PUNCT
ejpam-4864	85	1	applying	apply	VERB
ejpam-4864	85	2	nt	not	PART
ejpam-4864	85	3	of	of	ADP
ejpam-4864	85	4	eq	eq	PROPN
ejpam-4864	85	5	.	.	PUNCT
ejpam-4864	86	1	(	(	PUNCT
ejpam-4864	86	2	15d	15d	NUM
ejpam-4864	86	3	)	)	PUNCT
ejpam-4864	86	4	,	,	PUNCT
ejpam-4864	86	5	we	we	PRON
ejpam-4864	86	6	obtain	obtain	VERB
ejpam-4864	86	7	:	:	PUNCT
ejpam-4864	86	8	sε	sε	X
ejpam-4864	86	9	uε	uε	ADP
ejpam-4864	86	10	n	n	PROPN
ejpam-4864	87	1	[	[	X
ejpam-4864	87	2	ι(τ)]−	ι(τ)]−	X
ejpam-4864	87	3	sε−1	sε−1	PROPN
ejpam-4864	87	4	uε	uε	PROPN
ejpam-4864	87	5	ι(0	ι(0	PROPN
ejpam-4864	87	6	)	)	PUNCT
ejpam-4864	87	7	=	=	SYM
ejpam-4864	88	1	−ρn	−ρn	NOUN
ejpam-4864	88	2	[	[	X
ejpam-4864	88	3	ι(τ)a(τ	ι(τ)a(τ	X
ejpam-4864	88	4	)	)	PUNCT
ejpam-4864	88	5	+	+	NUM
ejpam-4864	88	6	ι(τ)α(τ	ι(τ)α(τ	NUM
ejpam-4864	88	7	)	)	PUNCT
ejpam-4864	88	8	]	]	PUNCT
ejpam-4864	88	9	,	,	PUNCT
ejpam-4864	88	10	(	(	PUNCT
ejpam-4864	88	11	17a	17a	X
ejpam-4864	88	12	)	)	PUNCT
ejpam-4864	88	13	sε	sε	PROPN
ejpam-4864	88	14	uε	uε	NOUN
ejpam-4864	88	15	n	n	PROPN
ejpam-4864	89	1	[	[	X
ejpam-4864	89	2	a(τ)]−	a(τ)]−	CCONJ
ejpam-4864	89	3	sε−1	sε−1	NOUN
ejpam-4864	89	4	uε	uε	NOUN
ejpam-4864	89	5	a(0	a(0	PROPN
ejpam-4864	89	6	)	)	PUNCT
ejpam-4864	90	1	=	=	PUNCT
ejpam-4864	90	2	ρn	ρn	PROPN
ejpam-4864	91	1	[	[	X
ejpam-4864	91	2	ι(τ)a(τ	ι(τ)a(τ	X
ejpam-4864	91	3	)	)	PUNCT
ejpam-4864	91	4	+	+	CCONJ
ejpam-4864	91	5	ι(τ)α(τ)]−	ι(τ)α(τ)]−	SYM
ejpam-4864	91	6	βn	βn	PUNCT
ejpam-4864	92	1	[	[	X
ejpam-4864	92	2	a(τ	a(τ	PROPN
ejpam-4864	92	3	)	)	PUNCT
ejpam-4864	92	4	]	]	PUNCT
ejpam-4864	92	5	,	,	PUNCT
ejpam-4864	92	6	0	0	PUNCT
ejpam-4864	92	7	<	<	X
ejpam-4864	92	8	ε	ε	X
ejpam-4864	92	9	<	<	X
ejpam-4864	92	10	1	1	NUM
ejpam-4864	92	11	,	,	PUNCT
ejpam-4864	92	12	(	(	PUNCT
ejpam-4864	92	13	17b	17b	NUM
ejpam-4864	92	14	)	)	PUNCT
ejpam-4864	92	15	sε	sε	PROPN
ejpam-4864	92	16	uε	uε	NOUN
ejpam-4864	92	17	n	n	PROPN
ejpam-4864	92	18	[	[	X
ejpam-4864	92	19	γ(τ)]−	γ(τ)]−	NOUN
ejpam-4864	92	20	sε−1	sε−1	PROPN
ejpam-4864	92	21	uε	uε	PROPN
ejpam-4864	92	22	γ(0	γ(0	PROPN
ejpam-4864	92	23	)	)	PUNCT
ejpam-4864	92	24	=	=	SYM
ejpam-4864	93	1	β1n	β1n	X
ejpam-4864	94	1	[	[	X
ejpam-4864	94	2	a(τ)]−	a(τ)]−	X
ejpam-4864	94	3	µn	µn	PROPN
ejpam-4864	94	4	[	[	X
ejpam-4864	94	5	γ(τ	γ(τ	PROPN
ejpam-4864	94	6	)	)	PUNCT
ejpam-4864	94	7	]	]	PUNCT
ejpam-4864	94	8	,	,	PUNCT
ejpam-4864	94	9	(	(	PUNCT
ejpam-4864	94	10	17c	17c	NUM
ejpam-4864	94	11	)	)	PUNCT
ejpam-4864	94	12	sε	sε	PROPN
ejpam-4864	94	13	uε	uε	NOUN
ejpam-4864	94	14	n	n	PROPN
ejpam-4864	95	1	[	[	X
ejpam-4864	95	2	α(τ)]−	α(τ)]−	ADJ
ejpam-4864	95	3	sε−1	sε−1	PROPN
ejpam-4864	95	4	uε	uε	PROPN
ejpam-4864	95	5	α(0	α(0	PROPN
ejpam-4864	95	6	)	)	PUNCT
ejpam-4864	95	7	=	=	PUNCT
ejpam-4864	96	1	β2n	β2n	PUNCT
ejpam-4864	97	1	[	[	X
ejpam-4864	97	2	a(τ)]−	a(τ)]−	X
ejpam-4864	97	3	µn	µn	NOUN
ejpam-4864	97	4	[	[	X
ejpam-4864	97	5	α(τ	α(τ	NUM
ejpam-4864	97	6	)	)	PUNCT
ejpam-4864	97	7	]	]	PUNCT
ejpam-4864	97	8	.	.	PUNCT
ejpam-4864	98	1	(	(	PUNCT
ejpam-4864	98	2	17d	17d	NUM
ejpam-4864	98	3	)	)	PUNCT
ejpam-4864	98	4	after	after	ADP
ejpam-4864	98	5	rearrangement	rearrangement	NOUN
ejpam-4864	98	6	,	,	PUNCT
ejpam-4864	98	7	we	we	PRON
ejpam-4864	98	8	have	have	VERB
ejpam-4864	98	9	n	n	NUM
ejpam-4864	98	10	[	[	X
ejpam-4864	98	11	ι(τ	ι(τ	ADJ
ejpam-4864	98	12	)	)	PUNCT
ejpam-4864	98	13	]	]	PUNCT
ejpam-4864	99	1	=	=	PUNCT
ejpam-4864	100	1	1	1	NUM
ejpam-4864	100	2	s	s	NOUN
ejpam-4864	100	3	ι(0)−	ι(0)−	NOUN
ejpam-4864	100	4	ρ	ρ	NUM
ejpam-4864	100	5	uε	uε	NOUN
ejpam-4864	100	6	sε	sε	PROPN
ejpam-4864	100	7	n	n	CCONJ
ejpam-4864	100	8	[	[	X
ejpam-4864	100	9	q(t	q(t	PROPN
ejpam-4864	100	10	,	,	PUNCT
ejpam-4864	100	11	a	a	NOUN
ejpam-4864	100	12	)	)	PUNCT
ejpam-4864	101	1	+	+	NOUN
ejpam-4864	101	2	p	p	X
ejpam-4864	101	3	(	(	PUNCT
ejpam-4864	101	4	t	t	PROPN
ejpam-4864	101	5	,	,	PUNCT
ejpam-4864	101	6	α	α	NOUN
ejpam-4864	101	7	)	)	PUNCT
ejpam-4864	101	8	]	]	PUNCT
ejpam-4864	101	9	,	,	PUNCT
ejpam-4864	101	10	n	n	X
ejpam-4864	101	11	[	[	X
ejpam-4864	101	12	a(τ	a(τ	PROPN
ejpam-4864	101	13	)	)	PUNCT
ejpam-4864	101	14	]	]	PUNCT
ejpam-4864	102	1	=	=	PUNCT
ejpam-4864	102	2	1	1	NUM
ejpam-4864	102	3	s	s	NOUN
ejpam-4864	102	4	a(0	a(0	PROPN
ejpam-4864	102	5	)	)	PUNCT
ejpam-4864	103	1	+	+	NUM
ejpam-4864	104	1	ρ	ρ	NUM
ejpam-4864	104	2	uε	uε	X
ejpam-4864	104	3	sε	sε	PROPN
ejpam-4864	104	4	n	n	CCONJ
ejpam-4864	105	1	[	[	X
ejpam-4864	105	2	q(t	q(t	PROPN
ejpam-4864	105	3	,	,	PUNCT
ejpam-4864	105	4	a	a	NOUN
ejpam-4864	105	5	)	)	PUNCT
ejpam-4864	105	6	+	+	NOUN
ejpam-4864	105	7	p	p	X
ejpam-4864	105	8	(	(	PUNCT
ejpam-4864	105	9	t	t	PROPN
ejpam-4864	105	10	,	,	PUNCT
ejpam-4864	105	11	α)]−	α)]−	NUM
ejpam-4864	105	12	β	β	X
ejpam-4864	105	13	uε	uε	ADP
ejpam-4864	105	14	sε	sε	PROPN
ejpam-4864	105	15	n	n	X
ejpam-4864	105	16	[	[	X
ejpam-4864	105	17	a(τ	a(τ	PROPN
ejpam-4864	105	18	)	)	PUNCT
ejpam-4864	105	19	]	]	PUNCT
ejpam-4864	105	20	,	,	PUNCT
ejpam-4864	105	21	n	n	X
ejpam-4864	105	22	[	[	X
ejpam-4864	105	23	γ(τ	γ(τ	PROPN
ejpam-4864	105	24	)	)	PUNCT
ejpam-4864	105	25	]	]	PUNCT
ejpam-4864	105	26	=	=	PUNCT
ejpam-4864	105	27	1	1	NUM
ejpam-4864	105	28	s	s	X
ejpam-4864	105	29	r(0	r(0	PROPN
ejpam-4864	105	30	)	)	PUNCT
ejpam-4864	105	31	+	+	CCONJ
ejpam-4864	105	32	β1	β1	PROPN
ejpam-4864	105	33	uε	uε	NUM
ejpam-4864	105	34	sε	sε	PROPN
ejpam-4864	105	35	n	n	PROPN
ejpam-4864	105	36	[	[	X
ejpam-4864	105	37	γ(τ)]−	γ(τ)]−	NOUN
ejpam-4864	105	38	µ	µ	X
ejpam-4864	105	39	uε	uε	ADP
ejpam-4864	105	40	sε	sε	PROPN
ejpam-4864	105	41	n	n	X
ejpam-4864	105	42	[	[	X
ejpam-4864	105	43	γ(τ	γ(τ	PROPN
ejpam-4864	105	44	)	)	PUNCT
ejpam-4864	105	45	]	]	PUNCT
ejpam-4864	105	46	,	,	PUNCT
ejpam-4864	105	47	n	n	PROPN
ejpam-4864	105	48	[	[	X
ejpam-4864	105	49	α(τ	α(τ	NUM
ejpam-4864	105	50	)	)	PUNCT
ejpam-4864	105	51	]	]	PUNCT
ejpam-4864	106	1	=	=	PUNCT
ejpam-4864	106	2	1	1	NUM
ejpam-4864	106	3	s	s	NOUN
ejpam-4864	106	4	α(0	α(0	PROPN
ejpam-4864	106	5	)	)	PUNCT
ejpam-4864	107	1	+	+	CCONJ
ejpam-4864	107	2	β2	β2	VERB
ejpam-4864	107	3	uε	uε	VERB
ejpam-4864	107	4	sε	sε	X
ejpam-4864	107	5	n	n	CCONJ
ejpam-4864	107	6	[	[	X
ejpam-4864	107	7	a(τ)]−	a(τ)]−	X
ejpam-4864	107	8	µ	µ	X
ejpam-4864	107	9	uε	uε	NOUN
ejpam-4864	107	10	sε	sε	PROPN
ejpam-4864	107	11	n	n	CCONJ
ejpam-4864	107	12	[	[	NOUN
ejpam-4864	107	13	α(τ	α(τ	NUM
ejpam-4864	107	14	)	)	PUNCT
ejpam-4864	107	15	]	]	PUNCT
ejpam-4864	107	16	.	.	PUNCT
ejpam-4864	108	1	(	(	PUNCT
ejpam-4864	108	2	18a	18a	NOUN
ejpam-4864	108	3	)	)	PUNCT
ejpam-4864	108	4	using	use	VERB
ejpam-4864	108	5	adm	adm	PROPN
ejpam-4864	108	6	,	,	PUNCT
ejpam-4864	108	7	we	we	PRON
ejpam-4864	108	8	have	have	VERB
ejpam-4864	108	9	ι(τ	ι(τ	ADJ
ejpam-4864	108	10	)	)	PUNCT
ejpam-4864	108	11	=	=	PUNCT
ejpam-4864	109	1	∞∑	∞∑	PRON
ejpam-4864	109	2	n=0	n=0	NUM
ejpam-4864	109	3	ιn(τ	ιn(τ	PUNCT
ejpam-4864	109	4	)	)	PUNCT
ejpam-4864	109	5	,	,	PUNCT
ejpam-4864	109	6	a(τ	a(τ	PROPN
ejpam-4864	109	7	)	)	PUNCT
ejpam-4864	109	8	=	=	PUNCT
ejpam-4864	110	1	∞∑	∞∑	PRON
ejpam-4864	110	2	n=0	n=0	NUM
ejpam-4864	110	3	an(τ	an(τ	NOUN
ejpam-4864	110	4	)	)	PUNCT
ejpam-4864	110	5	,	,	PUNCT
ejpam-4864	110	6	γ(τ	γ(τ	PROPN
ejpam-4864	110	7	)	)	PUNCT
ejpam-4864	110	8	=	=	PUNCT
ejpam-4864	111	1	∞∑	∞∑	PRON
ejpam-4864	111	2	n=0	n=0	NUM
ejpam-4864	111	3	γn(τ	γn(τ	ADJ
ejpam-4864	111	4	)	)	PUNCT
ejpam-4864	111	5	,	,	PUNCT
ejpam-4864	111	6	α(τ	α(τ	NUM
ejpam-4864	111	7	)	)	PUNCT
ejpam-4864	112	1	=	=	PUNCT
ejpam-4864	113	1	∞∑	∞∑	PROPN
ejpam-4864	113	2	n=0	n=0	NUM
ejpam-4864	113	3	αn(τ	αn(τ	NOUN
ejpam-4864	113	4	)	)	PUNCT
ejpam-4864	113	5	,	,	PUNCT
ejpam-4864	113	6	(	(	PUNCT
ejpam-4864	113	7	19	19	NUM
ejpam-4864	113	8	)	)	PUNCT
ejpam-4864	113	9	h.	h.	PROPN
ejpam-4864	113	10	r.	r.	PROPN
ejpam-4864	113	11	abdl	abdl	PROPN
ejpam-4864	113	12	-	-	PUNCT
ejpam-4864	113	13	rahim	rahim	PROPN
ejpam-4864	113	14	et	et	PROPN
ejpam-4864	113	15	al	al	PROPN
ejpam-4864	113	16	.	.	PUNCT
ejpam-4864	113	17	/	/	SYM
ejpam-4864	113	18	eur	eur	PROPN
ejpam-4864	113	19	.	.	PUNCT
ejpam-4864	114	1	j.	j.	PROPN
ejpam-4864	114	2	pure	pure	PROPN
ejpam-4864	114	3	appl	appl	PROPN
ejpam-4864	114	4	.	.	PROPN
ejpam-4864	114	5	math	math	PROPN
ejpam-4864	114	6	,	,	PUNCT
ejpam-4864	114	7	16	16	NUM
ejpam-4864	114	8	(	(	PUNCT
ejpam-4864	114	9	4	4	NUM
ejpam-4864	114	10	)	)	PUNCT
ejpam-4864	114	11	(	(	PUNCT
ejpam-4864	114	12	2023	2023	NUM
ejpam-4864	114	13	)	)	PUNCT
ejpam-4864	114	14	,	,	PUNCT
ejpam-4864	114	15	2632	2632	NUM
ejpam-4864	114	16	-	-	SYM
ejpam-4864	114	17	2642	2642	NUM
ejpam-4864	114	18	2636	2636	NUM
ejpam-4864	114	19	and	and	CCONJ
ejpam-4864	114	20	the	the	DET
ejpam-4864	114	21	nonlinear	nonlinear	ADJ
ejpam-4864	114	22	terms	term	NOUN
ejpam-4864	114	23	are	be	AUX
ejpam-4864	114	24	:	:	PUNCT
ejpam-4864	114	25	q(t	q(t	ADJ
ejpam-4864	114	26	,	,	PUNCT
ejpam-4864	114	27	a	a	NOUN
ejpam-4864	114	28	)	)	PUNCT
ejpam-4864	114	29	=	=	SYM
ejpam-4864	114	30	bn	bn	PROPN
ejpam-4864	114	31	,	,	PUNCT
ejpam-4864	114	32	p	p	X
ejpam-4864	114	33	(	(	PUNCT
ejpam-4864	114	34	t	t	PROPN
ejpam-4864	114	35	,	,	PUNCT
ejpam-4864	114	36	α	α	NOUN
ejpam-4864	114	37	)	)	PUNCT
ejpam-4864	114	38	=	=	SYM
ejpam-4864	114	39	en	en	X
ejpam-4864	114	40	,	,	PUNCT
ejpam-4864	114	41	(	(	PUNCT
ejpam-4864	114	42	20	20	NUM
ejpam-4864	114	43	)	)	PUNCT
ejpam-4864	114	44	where	where	SCONJ
ejpam-4864	114	45	bn	bn	X
ejpam-4864	114	46	,	,	PUNCT
ejpam-4864	114	47	en	en	X
ejpam-4864	114	48	are	be	AUX
ejpam-4864	114	49	adomian	adomian	NOUN
ejpam-4864	114	50	polynomials	polynomial	NOUN
ejpam-4864	114	51	of	of	ADP
ejpam-4864	114	52	ι	ι	PRON
ejpam-4864	114	53	,	,	PUNCT
ejpam-4864	114	54	a	a	PRON
ejpam-4864	114	55	,	,	PUNCT
ejpam-4864	114	56	α	α	NOUN
ejpam-4864	114	57	,	,	PUNCT
ejpam-4864	114	58	.	.	PUNCT
ejpam-4864	114	59	.	.	PUNCT
ejpam-4864	115	1	.	.	PUNCT
ejpam-4864	116	1	which	which	PRON
ejpam-4864	116	2	calculated	calculate	VERB
ejpam-4864	116	3	by	by	ADP
ejpam-4864	116	4	formulas	formula	NOUN
ejpam-4864	116	5	:	:	PUNCT
ejpam-4864	116	6	bn	bn	PROPN
ejpam-4864	116	7	=	=	SYM
ejpam-4864	116	8	1	1	NUM
ejpam-4864	116	9	n	n	NOUN
ejpam-4864	116	10	!	!	PUNCT
ejpam-4864	116	11	dn	dn	PROPN
ejpam-4864	116	12	dλ̄n	dλ̄n	PROPN
ejpam-4864	116	13	[	[	PUNCT
ejpam-4864	116	14	n	n	CCONJ
ejpam-4864	116	15	(	(	PUNCT
ejpam-4864	116	16	∞∑	∞∑	PROPN
ejpam-4864	116	17	n=0	n=0	NUM
ejpam-4864	116	18	λ̄nun	λ̄nun	PROPN
ejpam-4864	116	19	)	)	PUNCT
ejpam-4864	116	20	]	]	PUNCT
ejpam-4864	117	1	λ̄=0	λ̄=0	X
ejpam-4864	117	2	,	,	PUNCT
ejpam-4864	117	3	(	(	PUNCT
ejpam-4864	117	4	21a	21a	X
ejpam-4864	117	5	)	)	PUNCT
ejpam-4864	117	6	en	en	X
ejpam-4864	117	7	=	=	SYM
ejpam-4864	117	8	1	1	NUM
ejpam-4864	117	9	n	n	NOUN
ejpam-4864	117	10	!	!	PUNCT
ejpam-4864	118	1	dn	dn	PROPN
ejpam-4864	118	2	dλ̄n	dλ̄n	PROPN
ejpam-4864	118	3	[	[	PUNCT
ejpam-4864	118	4	n	n	CCONJ
ejpam-4864	118	5	(	(	PUNCT
ejpam-4864	118	6	∞∑	∞∑	PROPN
ejpam-4864	118	7	n=0	n=0	NUM
ejpam-4864	118	8	λ̄nun	λ̄nun	PROPN
ejpam-4864	118	9	)	)	PUNCT
ejpam-4864	118	10	]	]	PUNCT
ejpam-4864	119	1	λ̄=0	λ̄=0	X
ejpam-4864	119	2	.	.	PUNCT
ejpam-4864	120	1	(	(	PUNCT
ejpam-4864	120	2	21b	21b	NOUN
ejpam-4864	120	3	)	)	PUNCT
ejpam-4864	120	4	substituting	substitute	VERB
ejpam-4864	120	5	eqs	eqs	PROPN
ejpam-4864	120	6	.	.	PUNCT
ejpam-4864	121	1	(	(	PUNCT
ejpam-4864	121	2	19	19	NUM
ejpam-4864	121	3	)	)	PUNCT
ejpam-4864	121	4	,	,	PUNCT
ejpam-4864	121	5	(	(	PUNCT
ejpam-4864	121	6	20	20	NUM
ejpam-4864	121	7	)	)	PUNCT
ejpam-4864	121	8	and	and	CCONJ
ejpam-4864	121	9	(	(	PUNCT
ejpam-4864	121	10	21	21	NUM
ejpam-4864	121	11	)	)	PUNCT
ejpam-4864	121	12	into	into	ADP
ejpam-4864	121	13	eq	eq	NOUN
ejpam-4864	121	14	.	.	PUNCT
ejpam-4864	122	1	(	(	PUNCT
ejpam-4864	122	2	18	18	NUM
ejpam-4864	122	3	)	)	PUNCT
ejpam-4864	122	4	yields	yield	NOUN
ejpam-4864	122	5	:	:	PUNCT
ejpam-4864	122	6	n	n	X
ejpam-4864	122	7	[	[	PUNCT
ejpam-4864	122	8	∞∑	∞∑	PROPN
ejpam-4864	122	9	n=0	n=0	NUM
ejpam-4864	122	10	ιn(τ	ιn(τ	PUNCT
ejpam-4864	122	11	)	)	PUNCT
ejpam-4864	122	12	]	]	PUNCT
ejpam-4864	123	1	=	=	PUNCT
ejpam-4864	123	2	1	1	NUM
ejpam-4864	123	3	s	s	NOUN
ejpam-4864	123	4	ι0	ι0	NOUN
ejpam-4864	123	5	−	−	PROPN
ejpam-4864	123	6	ρ	ρ	NUM
ejpam-4864	123	7	uε	uε	INTJ
ejpam-4864	123	8	sε	sε	PROPN
ejpam-4864	123	9	n	n	X
ejpam-4864	124	1	[	[	X
ejpam-4864	124	2	q+	q+	NOUN
ejpam-4864	124	3	p	p	X
ejpam-4864	124	4	]	]	X
ejpam-4864	124	5	,	,	PUNCT
ejpam-4864	124	6	(	(	PUNCT
ejpam-4864	124	7	22a	22a	NOUN
ejpam-4864	124	8	)	)	PUNCT
ejpam-4864	124	9	n	n	CCONJ
ejpam-4864	124	10	[	[	PUNCT
ejpam-4864	124	11	∞∑	∞∑	PROPN
ejpam-4864	124	12	n=0	n=0	NUM
ejpam-4864	124	13	an(τ	an(τ	PUNCT
ejpam-4864	124	14	)	)	PUNCT
ejpam-4864	124	15	]	]	PUNCT
ejpam-4864	125	1	=	=	PUNCT
ejpam-4864	125	2	1	1	NUM
ejpam-4864	125	3	s	s	NOUN
ejpam-4864	125	4	a0	a0	NOUN
ejpam-4864	125	5	+	+	CCONJ
ejpam-4864	125	6	ρ	ρ	PROPN
ejpam-4864	125	7	uε	uε	X
ejpam-4864	125	8	sε	sε	PROPN
ejpam-4864	125	9	n	n	X
ejpam-4864	125	10	[	[	X
ejpam-4864	125	11	q+	q+	NOUN
ejpam-4864	125	12	p	p	X
ejpam-4864	125	13	]	]	X
ejpam-4864	125	14	−	−	X
ejpam-4864	125	15	β	β	SYM
ejpam-4864	125	16	uε	uε	ADP
ejpam-4864	125	17	sε	sε	PROPN
ejpam-4864	125	18	n	n	CCONJ
ejpam-4864	125	19	[	[	PUNCT
ejpam-4864	125	20	∞∑	∞∑	PROPN
ejpam-4864	125	21	n=0	n=0	NUM
ejpam-4864	125	22	an(τ	an(τ	NOUN
ejpam-4864	125	23	)	)	PUNCT
ejpam-4864	125	24	]	]	PUNCT
ejpam-4864	125	25	,	,	PUNCT
ejpam-4864	125	26	(	(	PUNCT
ejpam-4864	125	27	22b	22b	NOUN
ejpam-4864	125	28	)	)	PUNCT
ejpam-4864	125	29	n	n	NOUN
ejpam-4864	125	30	[	[	PUNCT
ejpam-4864	125	31	∞∑	∞∑	PROPN
ejpam-4864	125	32	n=0	n=0	NUM
ejpam-4864	125	33	γn(τ	γn(τ	ADV
ejpam-4864	125	34	)	)	PUNCT
ejpam-4864	125	35	]	]	PUNCT
ejpam-4864	126	1	=	=	PUNCT
ejpam-4864	126	2	1	1	NUM
ejpam-4864	126	3	s	s	NOUN
ejpam-4864	126	4	γ0	γ0	NOUN
ejpam-4864	126	5	+	+	CCONJ
ejpam-4864	126	6	β1	β1	PROPN
ejpam-4864	126	7	uε	uε	PROPN
ejpam-4864	126	8	sε	sε	PROPN
ejpam-4864	126	9	n	n	PROPN
ejpam-4864	126	10	[	[	PUNCT
ejpam-4864	126	11	∞∑	∞∑	PROPN
ejpam-4864	126	12	n=0	n=0	PROPN
ejpam-4864	126	13	an(τ)]−	an(τ)]−	PROPN
ejpam-4864	126	14	µ	µ	X
ejpam-4864	126	15	uε	uε	NOUN
ejpam-4864	126	16	sε	sε	X
ejpam-4864	126	17	n	n	CCONJ
ejpam-4864	126	18	[	[	PUNCT
ejpam-4864	126	19	∞∑	∞∑	PROPN
ejpam-4864	126	20	n=0	n=0	NUM
ejpam-4864	126	21	γn(τ	γn(τ	ADJ
ejpam-4864	126	22	)	)	PUNCT
ejpam-4864	126	23	]	]	PUNCT
ejpam-4864	126	24	,	,	PUNCT
ejpam-4864	126	25	(	(	PUNCT
ejpam-4864	126	26	22c	22c	NOUN
ejpam-4864	126	27	)	)	PUNCT
ejpam-4864	126	28	n	n	CCONJ
ejpam-4864	126	29	[	[	PUNCT
ejpam-4864	126	30	∞∑	∞∑	PROPN
ejpam-4864	126	31	n=0	n=0	NUM
ejpam-4864	126	32	αn(τ	αn(τ	PUNCT
ejpam-4864	126	33	)	)	PUNCT
ejpam-4864	126	34	]	]	PUNCT
ejpam-4864	127	1	=	=	PUNCT
ejpam-4864	127	2	1	1	NUM
ejpam-4864	127	3	s	s	PART
ejpam-4864	127	4	α0	α0	ADJ
ejpam-4864	127	5	+	+	CCONJ
ejpam-4864	127	6	β2	β2	NOUN
ejpam-4864	127	7	uε	uε	X
ejpam-4864	127	8	sε	sε	PROPN
ejpam-4864	127	9	n	n	CCONJ
ejpam-4864	127	10	[	[	PUNCT
ejpam-4864	127	11	∞∑	∞∑	PROPN
ejpam-4864	127	12	n=0	n=0	PROPN
ejpam-4864	127	13	an(τ)]−	an(τ)]−	PROPN
ejpam-4864	127	14	µ	µ	X
ejpam-4864	127	15	uε	uε	NOUN
ejpam-4864	127	16	sε	sε	X
ejpam-4864	127	17	n	n	CCONJ
ejpam-4864	127	18	[	[	PUNCT
ejpam-4864	127	19	∞∑	∞∑	PROPN
ejpam-4864	127	20	n=0	n=0	NUM
ejpam-4864	127	21	αn(τ	αn(τ	PUNCT
ejpam-4864	127	22	)	)	PUNCT
ejpam-4864	127	23	]	]	PUNCT
ejpam-4864	127	24	.	.	PUNCT
ejpam-4864	128	1	(	(	PUNCT
ejpam-4864	128	2	22d	22d	NOUN
ejpam-4864	128	3	)	)	PUNCT
ejpam-4864	128	4	by	by	ADP
ejpam-4864	128	5	comparing	compare	VERB
ejpam-4864	128	6	both	both	DET
ejpam-4864	128	7	sides	side	NOUN
ejpam-4864	128	8	of	of	ADP
ejpam-4864	128	9	eq	eq	PROPN
ejpam-4864	128	10	.	.	PUNCT
ejpam-4864	129	1	(	(	PUNCT
ejpam-4864	129	2	22	22	NUM
ejpam-4864	129	3	)	)	PUNCT
ejpam-4864	129	4	and	and	CCONJ
ejpam-4864	129	5	throw	throw	VERB
ejpam-4864	129	6	adm	adm	PROPN
ejpam-4864	129	7	,	,	PUNCT
ejpam-4864	129	8	we	we	PRON
ejpam-4864	129	9	get	get	VERB
ejpam-4864	129	10	:	:	PUNCT
ejpam-4864	129	11	ι(0	ι(0	PROPN
ejpam-4864	129	12	)	)	PUNCT
ejpam-4864	129	13	=	=	SYM
ejpam-4864	129	14	ι0	ι0	NOUN
ejpam-4864	129	15	,	,	PUNCT
ejpam-4864	129	16	ιn+1	ιn+1	PUNCT
ejpam-4864	129	17	=	=	SYM
ejpam-4864	129	18	−ρn−1	−ρn−1	X
ejpam-4864	129	19	[	[	PUNCT
ejpam-4864	129	20	uε	uε	X
ejpam-4864	129	21	sε	sε	PROPN
ejpam-4864	129	22	n	n	X
ejpam-4864	130	1	[	[	X
ejpam-4864	130	2	q+	q+	NOUN
ejpam-4864	130	3	p	p	X
ejpam-4864	130	4	]	]	X
ejpam-4864	130	5	]	]	PUNCT
ejpam-4864	130	6	,	,	PUNCT
ejpam-4864	130	7	(	(	PUNCT
ejpam-4864	130	8	23a	23a	NUM
ejpam-4864	130	9	)	)	PUNCT
ejpam-4864	130	10	a(0	a(0	PROPN
ejpam-4864	130	11	)	)	PUNCT
ejpam-4864	130	12	=	=	SYM
ejpam-4864	130	13	a0	a0	PROPN
ejpam-4864	130	14	,	,	PUNCT
ejpam-4864	130	15	an+1	an+1	NOUN
ejpam-4864	130	16	=	=	SYM
ejpam-4864	130	17	ρn−1	ρn−1	PROPN
ejpam-4864	130	18	[	[	PUNCT
ejpam-4864	130	19	uε	uε	X
ejpam-4864	130	20	sε	sε	PROPN
ejpam-4864	130	21	n	n	X
ejpam-4864	131	1	[	[	X
ejpam-4864	132	1	q+	q+	NOUN
ejpam-4864	132	2	p	p	X
ejpam-4864	132	3	]	]	X
ejpam-4864	132	4	]	]	PUNCT
ejpam-4864	132	5	−	−	PROPN
ejpam-4864	133	1	βn−1	βn−1	PROPN
ejpam-4864	133	2	[	[	PUNCT
ejpam-4864	133	3	uε	uε	ADP
ejpam-4864	133	4	sε	sε	PROPN
ejpam-4864	133	5	n	n	CCONJ
ejpam-4864	133	6	[	[	PUNCT
ejpam-4864	133	7	∞∑	∞∑	PROPN
ejpam-4864	133	8	n=0	n=0	NUM
ejpam-4864	133	9	an(τ	an(τ	PUNCT
ejpam-4864	133	10	)	)	PUNCT
ejpam-4864	133	11	]	]	PUNCT
ejpam-4864	133	12	]	]	PUNCT
ejpam-4864	133	13	,	,	PUNCT
ejpam-4864	133	14	(	(	PUNCT
ejpam-4864	133	15	23b	23b	NOUN
ejpam-4864	133	16	)	)	PUNCT
ejpam-4864	133	17	γ(0	γ(0	NOUN
ejpam-4864	133	18	)	)	PUNCT
ejpam-4864	133	19	=	=	SYM
ejpam-4864	133	20	r0	r0	NOUN
ejpam-4864	133	21	,	,	PUNCT
ejpam-4864	133	22	γn+1	γn+1	CCONJ
ejpam-4864	133	23	=	=	SYM
ejpam-4864	133	24	β1n	β1n	NOUN
ejpam-4864	133	25	−1	−1	NOUN
ejpam-4864	133	26	[	[	PUNCT
ejpam-4864	133	27	uε	uε	X
ejpam-4864	133	28	sε	sε	PROPN
ejpam-4864	133	29	n	n	CCONJ
ejpam-4864	133	30	[	[	PUNCT
ejpam-4864	133	31	∞∑	∞∑	PROPN
ejpam-4864	133	32	n=0	n=0	NUM
ejpam-4864	133	33	an(τ	an(τ	PUNCT
ejpam-4864	133	34	)	)	PUNCT
ejpam-4864	133	35	]	]	PUNCT
ejpam-4864	133	36	]	]	PUNCT
ejpam-4864	134	1	−	−	PUNCT
ejpam-4864	134	2	µn−1	µn−1	ADP
ejpam-4864	134	3	[	[	PUNCT
ejpam-4864	134	4	uε	uε	ADP
ejpam-4864	134	5	sε	sε	PROPN
ejpam-4864	134	6	n	n	CCONJ
ejpam-4864	134	7	[	[	PUNCT
ejpam-4864	134	8	∞∑	∞∑	PROPN
ejpam-4864	134	9	n=0	n=0	NUM
ejpam-4864	134	10	γn(τ	γn(τ	ADV
ejpam-4864	134	11	)	)	PUNCT
ejpam-4864	134	12	]	]	PUNCT
ejpam-4864	134	13	]	]	X
ejpam-4864	134	14	,	,	PUNCT
ejpam-4864	134	15	(	(	PUNCT
ejpam-4864	134	16	23c	23c	NOUN
ejpam-4864	134	17	)	)	PUNCT
ejpam-4864	134	18	α(0	α(0	NOUN
ejpam-4864	134	19	)	)	PUNCT
ejpam-4864	134	20	=	=	SYM
ejpam-4864	134	21	α0	α0	ADJ
ejpam-4864	134	22	,	,	PUNCT
ejpam-4864	134	23	αn+1	αn+1	NUM
ejpam-4864	134	24	=	=	X
ejpam-4864	134	25	β2n	β2n	PUNCT
ejpam-4864	134	26	−1	−1	NOUN
ejpam-4864	134	27	[	[	PUNCT
ejpam-4864	134	28	uε	uε	X
ejpam-4864	134	29	sε	sε	PROPN
ejpam-4864	134	30	n	n	CCONJ
ejpam-4864	134	31	[	[	PUNCT
ejpam-4864	134	32	∞∑	∞∑	PROPN
ejpam-4864	134	33	n=0	n=0	NUM
ejpam-4864	134	34	an(τ	an(τ	PUNCT
ejpam-4864	134	35	)	)	PUNCT
ejpam-4864	134	36	]	]	PUNCT
ejpam-4864	134	37	]	]	PUNCT
ejpam-4864	135	1	−	−	PUNCT
ejpam-4864	135	2	µn−1	µn−1	ADP
ejpam-4864	135	3	[	[	PUNCT
ejpam-4864	135	4	uε	uε	X
ejpam-4864	135	5	sε	sε	PROPN
ejpam-4864	135	6	n	n	CCONJ
ejpam-4864	135	7	[	[	PUNCT
ejpam-4864	135	8	∞∑	∞∑	PROPN
ejpam-4864	135	9	n=0	n=0	NUM
ejpam-4864	135	10	αn(τ	αn(τ	PUNCT
ejpam-4864	135	11	)	)	PUNCT
ejpam-4864	135	12	]	]	PUNCT
ejpam-4864	135	13	]	]	PUNCT
ejpam-4864	135	14	.	.	PUNCT
ejpam-4864	136	1	(	(	PUNCT
ejpam-4864	136	2	23d	23d	NOUN
ejpam-4864	136	3	)	)	PUNCT
ejpam-4864	136	4	i.e.	i.e.	X
ejpam-4864	136	5	ι1	ι1	NOUN
ejpam-4864	136	6	=	=	SYM
ejpam-4864	136	7	−ρn−1	−ρn−1	X
ejpam-4864	136	8	[	[	PUNCT
ejpam-4864	136	9	uε	uε	X
ejpam-4864	136	10	sε	sε	PROPN
ejpam-4864	136	11	n	n	PROPN
ejpam-4864	136	12	[	[	X
ejpam-4864	136	13	ι0a0	ι0a0	PUNCT
ejpam-4864	136	14	+	+	X
ejpam-4864	136	15	ι0α0	ι0α0	X
ejpam-4864	136	16	]	]	X
ejpam-4864	136	17	]	]	X
ejpam-4864	136	18	,	,	PUNCT
ejpam-4864	136	19	(	(	PUNCT
ejpam-4864	136	20	24a	24a	NOUN
ejpam-4864	136	21	)	)	PUNCT
ejpam-4864	136	22	a1	a1	NOUN
ejpam-4864	136	23	=	=	SYM
ejpam-4864	136	24	ρn−1	ρn−1	PROPN
ejpam-4864	136	25	[	[	PUNCT
ejpam-4864	136	26	uε	uε	X
ejpam-4864	136	27	sε	sε	PROPN
ejpam-4864	136	28	n	n	PROPN
ejpam-4864	137	1	[	[	X
ejpam-4864	137	2	ι0a0	ι0a0	X
ejpam-4864	137	3	+	+	CCONJ
ejpam-4864	137	4	ι0α0]]−	ι0α0]]−	PROPN
ejpam-4864	137	5	βn−1	βn−1	PROPN
ejpam-4864	137	6	[	[	PUNCT
ejpam-4864	137	7	uε	uε	ADV
ejpam-4864	137	8	sε	sε	PROPN
ejpam-4864	137	9	n	n	PROPN
ejpam-4864	137	10	[	[	X
ejpam-4864	137	11	a0	a0	NOUN
ejpam-4864	137	12	]	]	X
ejpam-4864	137	13	]	]	X
ejpam-4864	137	14	,	,	PUNCT
ejpam-4864	137	15	(	(	PUNCT
ejpam-4864	137	16	24b	24b	NUM
ejpam-4864	137	17	)	)	PUNCT
ejpam-4864	137	18	h.	h.	PROPN
ejpam-4864	137	19	r.	r.	PROPN
ejpam-4864	137	20	abdl	abdl	PROPN
ejpam-4864	137	21	-	-	PUNCT
ejpam-4864	137	22	rahim	rahim	PROPN
ejpam-4864	137	23	et	et	PROPN
ejpam-4864	137	24	al	al	PROPN
ejpam-4864	137	25	.	.	PUNCT
ejpam-4864	137	26	/	/	SYM
ejpam-4864	137	27	eur	eur	PROPN
ejpam-4864	137	28	.	.	PUNCT
ejpam-4864	138	1	j.	j.	PROPN
ejpam-4864	138	2	pure	pure	PROPN
ejpam-4864	138	3	appl	appl	PROPN
ejpam-4864	138	4	.	.	PROPN
ejpam-4864	138	5	math	math	PROPN
ejpam-4864	138	6	,	,	PUNCT
ejpam-4864	138	7	16	16	NUM
ejpam-4864	138	8	(	(	PUNCT
ejpam-4864	138	9	4	4	NUM
ejpam-4864	138	10	)	)	PUNCT
ejpam-4864	138	11	(	(	PUNCT
ejpam-4864	138	12	2023	2023	NUM
ejpam-4864	138	13	)	)	PUNCT
ejpam-4864	138	14	,	,	PUNCT
ejpam-4864	138	15	2632	2632	NUM
ejpam-4864	138	16	-	-	SYM
ejpam-4864	138	17	2642	2642	NUM
ejpam-4864	138	18	2637	2637	NUM
ejpam-4864	138	19	γ1	γ1	NOUN
ejpam-4864	138	20	=	=	SYM
ejpam-4864	138	21	β1n	β1n	NOUN
ejpam-4864	139	1	−1	−1	NOUN
ejpam-4864	139	2	[	[	PUNCT
ejpam-4864	139	3	uε	uε	X
ejpam-4864	139	4	sε	sε	PROPN
ejpam-4864	139	5	n	n	PROPN
ejpam-4864	140	1	[	[	X
ejpam-4864	140	2	a0]]−	a0]]−	PROPN
ejpam-4864	140	3	µn−1	µn−1	PROPN
ejpam-4864	140	4	[	[	PUNCT
ejpam-4864	140	5	uε	uε	ADP
ejpam-4864	140	6	sε	sε	PROPN
ejpam-4864	140	7	n	n	PROPN
ejpam-4864	140	8	[	[	X
ejpam-4864	140	9	γ0	γ0	NOUN
ejpam-4864	140	10	]	]	X
ejpam-4864	140	11	]	]	PUNCT
ejpam-4864	140	12	,	,	PUNCT
ejpam-4864	140	13	(	(	PUNCT
ejpam-4864	140	14	24c	24c	NOUN
ejpam-4864	140	15	)	)	PUNCT
ejpam-4864	140	16	α1	α1	NOUN
ejpam-4864	140	17	=	=	SYM
ejpam-4864	140	18	β2n	β2n	PUNCT
ejpam-4864	140	19	−1	−1	NOUN
ejpam-4864	140	20	[	[	PUNCT
ejpam-4864	140	21	uε	uε	X
ejpam-4864	140	22	sε	sε	PROPN
ejpam-4864	140	23	n	n	PROPN
ejpam-4864	141	1	[	[	X
ejpam-4864	141	2	a0]]−	a0]]−	PROPN
ejpam-4864	141	3	µn−1	µn−1	PROPN
ejpam-4864	141	4	[	[	PUNCT
ejpam-4864	141	5	uε	uε	ADP
ejpam-4864	141	6	sε	sε	PROPN
ejpam-4864	141	7	n	n	X
ejpam-4864	141	8	[	[	X
ejpam-4864	141	9	α0	α0	X
ejpam-4864	141	10	]	]	X
ejpam-4864	141	11	]	]	PUNCT
ejpam-4864	141	12	.	.	PUNCT
ejpam-4864	142	1	(	(	PUNCT
ejpam-4864	142	2	24d	24d	NOUN
ejpam-4864	142	3	)	)	PUNCT
ejpam-4864	142	4	then	then	ADV
ejpam-4864	142	5	,	,	PUNCT
ejpam-4864	142	6	using	use	VERB
ejpam-4864	142	7	parameters	parameter	NOUN
ejpam-4864	142	8	in	in	ADP
ejpam-4864	142	9	the	the	DET
ejpam-4864	142	10	present	present	ADJ
ejpam-4864	142	11	model	model	NOUN
ejpam-4864	142	12	as	as	ADP
ejpam-4864	142	13	in	in	ADP
ejpam-4864	142	14	[	[	X
ejpam-4864	142	15	18	18	NUM
ejpam-4864	142	16	]	]	PUNCT
ejpam-4864	142	17	,	,	PUNCT
ejpam-4864	142	18	we	we	PRON
ejpam-4864	142	19	have	have	VERB
ejpam-4864	142	20	ρ	ρ	NOUN
ejpam-4864	142	21	=	=	SYM
ejpam-4864	142	22	4.48	4.48	NUM
ejpam-4864	142	23	×	×	NOUN
ejpam-4864	142	24	10−8	10−8	NUM
ejpam-4864	142	25	,	,	PUNCT
ejpam-4864	142	26	β	β	X
ejpam-4864	142	27	=	=	SYM
ejpam-4864	142	28	1	1	NUM
ejpam-4864	142	29	7	7	NUM
ejpam-4864	142	30	,	,	PUNCT
ejpam-4864	142	31	µ	µ	NOUN
ejpam-4864	142	32	=	=	SYM
ejpam-4864	142	33	1	1	NUM
ejpam-4864	142	34	7β1	7β1	NUM
ejpam-4864	142	35	=	=	SYM
ejpam-4864	142	36	0.8µ	0.8µ	NUM
ejpam-4864	142	37	,	,	PUNCT
ejpam-4864	142	38	β2	β2	NOUN
ejpam-4864	142	39	=	=	NOUN
ejpam-4864	142	40	0.8µ	0.8µ	PROPN
ejpam-4864	142	41	also	also	ADV
ejpam-4864	142	42	,	,	PUNCT
ejpam-4864	142	43	we	we	PRON
ejpam-4864	142	44	obtain	obtain	VERB
ejpam-4864	142	45	:	:	PUNCT
ejpam-4864	142	46	ι1	ι1	ADJ
ejpam-4864	142	47	=	=	SYM
ejpam-4864	142	48	−3.8432	−3.8432	NOUN
ejpam-4864	142	49	tε	tε	NUM
ejpam-4864	142	50	γ(ε+	γ(ε+	PROPN
ejpam-4864	142	51	1	1	NUM
ejpam-4864	142	52	)	)	PUNCT
ejpam-4864	142	53	,	,	PUNCT
ejpam-4864	142	54	ι2	ι2	PROPN
ejpam-4864	142	55	=	=	SYM
ejpam-4864	142	56	−0.898197	−0.898197	PROPN
ejpam-4864	142	57	t2ε	t2ε	PUNCT
ejpam-4864	142	58	γ(2ε+	γ(2ε+	NOUN
ejpam-4864	142	59	1	1	NUM
ejpam-4864	142	60	)	)	PUNCT
ejpam-4864	142	61	,	,	PUNCT
ejpam-4864	142	62	(	(	PUNCT
ejpam-4864	142	63	25a	25a	NOUN
ejpam-4864	142	64	)	)	PUNCT
ejpam-4864	142	65	a1	a1	NOUN
ejpam-4864	142	66	=	=	SYM
ejpam-4864	142	67	2.29589	2.29589	NUM
ejpam-4864	142	68	tε	tε	NUM
ejpam-4864	142	69	γ(ε+	γ(ε+	PROPN
ejpam-4864	142	70	1	1	NUM
ejpam-4864	142	71	)	)	PUNCT
ejpam-4864	142	72	,	,	PUNCT
ejpam-4864	143	1	a2	a2	PROPN
ejpam-4864	143	2	=	=	PUNCT
ejpam-4864	143	3	0.570213	0.570213	NUM
ejpam-4864	143	4	t2ε	t2ε	PUNCT
ejpam-4864	143	5	γ(2ε+	γ(2ε+	NOUN
ejpam-4864	143	6	1	1	NUM
ejpam-4864	143	7	)	)	PUNCT
ejpam-4864	143	8	,	,	PUNCT
ejpam-4864	143	9	(	(	PUNCT
ejpam-4864	143	10	25b	25b	NOUN
ejpam-4864	143	11	)	)	PUNCT
ejpam-4864	143	12	γ1	γ1	NOUN
ejpam-4864	143	13	=	=	SYM
ejpam-4864	143	14	0.413714	0.413714	NUM
ejpam-4864	143	15	tε	tε	NUM
ejpam-4864	143	16	γ(ε+	γ(ε+	NOUN
ejpam-4864	143	17	1	1	NUM
ejpam-4864	143	18	)	)	PUNCT
ejpam-4864	143	19	,	,	PUNCT
ejpam-4864	143	20	γ2	γ2	PROPN
ejpam-4864	143	21	=	=	SYM
ejpam-4864	143	22	0.203285	0.203285	PROPN
ejpam-4864	143	23	t2ε	t2ε	PUNCT
ejpam-4864	143	24	γ(2ε+	γ(2ε+	NOUN
ejpam-4864	143	25	1	1	NUM
ejpam-4864	143	26	)	)	PUNCT
ejpam-4864	143	27	,	,	PUNCT
ejpam-4864	143	28	(	(	PUNCT
ejpam-4864	143	29	25c	25c	NOUN
ejpam-4864	143	30	)	)	PUNCT
ejpam-4864	143	31	α1	α1	PROPN
ejpam-4864	143	32	=	=	SYM
ejpam-4864	143	33	−0.486571	−0.486571	PROPN
ejpam-4864	143	34	tε	tε	NUM
ejpam-4864	143	35	γ(ε+	γ(ε+	PROPN
ejpam-4864	143	36	1	1	NUM
ejpam-4864	143	37	)	)	PUNCT
ejpam-4864	143	38	,	,	PUNCT
ejpam-4864	143	39	α2	α2	NOUN
ejpam-4864	143	40	=	=	SYM
ejpam-4864	143	41	1.35107	1.35107	NUM
ejpam-4864	143	42	t2ε	t2ε	PUNCT
ejpam-4864	143	43	γ(2ε+	γ(2ε+	NOUN
ejpam-4864	143	44	1	1	NUM
ejpam-4864	143	45	)	)	PUNCT
ejpam-4864	143	46	.	.	PUNCT
ejpam-4864	144	1	(	(	PUNCT
ejpam-4864	144	2	25d	25d	NOUN
ejpam-4864	144	3	)	)	PUNCT
ejpam-4864	144	4	then	then	ADV
ejpam-4864	144	5	,	,	PUNCT
ejpam-4864	144	6	we	we	PRON
ejpam-4864	144	7	can	can	AUX
ejpam-4864	144	8	write	write	VERB
ejpam-4864	144	9	the	the	DET
ejpam-4864	144	10	solution	solution	NOUN
ejpam-4864	144	11	of	of	ADP
ejpam-4864	144	12	the	the	DET
ejpam-4864	144	13	epidemic	epidemic	NOUN
ejpam-4864	144	14	model	model	NOUN
ejpam-4864	144	15	in	in	ADP
ejpam-4864	144	16	series	series	NOUN
ejpam-4864	144	17	form	form	NOUN
ejpam-4864	144	18	as	as	SCONJ
ejpam-4864	144	19	follows	follow	VERB
ejpam-4864	144	20	:	:	PUNCT
ejpam-4864	144	21	ι(t	ι(t	X
ejpam-4864	144	22	)	)	PUNCT
ejpam-4864	144	23	=	=	PUNCT
ejpam-4864	145	1	11.081×	11.081×	NUM
ejpam-4864	145	2	106	106	NUM
ejpam-4864	146	1	−	−	NUM
ejpam-4864	146	2	3.8432	3.8432	NUM
ejpam-4864	146	3	tε	tε	NUM
ejpam-4864	146	4	γ(ε+	γ(ε+	NOUN
ejpam-4864	146	5	1	1	NUM
ejpam-4864	146	6	)	)	PUNCT
ejpam-4864	146	7	−	−	ADP
ejpam-4864	146	8	0.898197	0.898197	NUM
ejpam-4864	146	9	t2ε	t2ε	PUNCT
ejpam-4864	146	10	γ(2ε+	γ(2ε+	NOUN
ejpam-4864	146	11	1	1	NUM
ejpam-4864	146	12	)	)	PUNCT
ejpam-4864	146	13	+	+	CCONJ
ejpam-4864	146	14	.	.	PUNCT
ejpam-4864	146	15	.	.	PUNCT
ejpam-4864	146	16	.	.	PUNCT
ejpam-4864	147	1	,	,	PUNCT
ejpam-4864	147	2	(	(	PUNCT
ejpam-4864	147	3	26a	26a	NOUN
ejpam-4864	147	4	)	)	PUNCT
ejpam-4864	147	5	a(t	a(t	NOUN
ejpam-4864	147	6	)	)	PUNCT
ejpam-4864	148	1	=	=	PUNCT
ejpam-4864	149	1	3.62	3.62	NUM
ejpam-4864	149	2	+	+	NUM
ejpam-4864	149	3	2.29589	2.29589	NUM
ejpam-4864	149	4	tε	tε	NUM
ejpam-4864	149	5	γ(ε+	γ(ε+	NOUN
ejpam-4864	149	6	1	1	NUM
ejpam-4864	149	7	)	)	PUNCT
ejpam-4864	149	8	+	+	CCONJ
ejpam-4864	149	9	0.570213	0.570213	NUM
ejpam-4864	149	10	t2ε	t2ε	PUNCT
ejpam-4864	149	11	γ(2ε+	γ(2ε+	NOUN
ejpam-4864	149	12	1	1	NUM
ejpam-4864	149	13	)	)	PUNCT
ejpam-4864	149	14	+	+	CCONJ
ejpam-4864	149	15	.	.	PUNCT
ejpam-4864	149	16	.	.	PUNCT
ejpam-4864	149	17	.	.	PUNCT
ejpam-4864	150	1	,	,	PUNCT
ejpam-4864	150	2	(	(	PUNCT
ejpam-4864	150	3	26b	26b	NOUN
ejpam-4864	150	4	)	)	PUNCT
ejpam-4864	150	5	γ(t	γ(t	NOUN
ejpam-4864	150	6	)	)	PUNCT
ejpam-4864	151	1	=	=	PUNCT
ejpam-4864	151	2	0	0	PUNCT
ejpam-4864	152	1	+	+	NUM
ejpam-4864	152	2	0.413714	0.413714	NUM
ejpam-4864	152	3	tε	tε	NUM
ejpam-4864	152	4	γ(ε+	γ(ε+	NOUN
ejpam-4864	152	5	1	1	NUM
ejpam-4864	152	6	)	)	PUNCT
ejpam-4864	153	1	+	+	NUM
ejpam-4864	154	1	0.203285	0.203285	NUM
ejpam-4864	154	2	t2ε	t2ε	PUNCT
ejpam-4864	154	3	γ(2ε+	γ(2ε+	NOUN
ejpam-4864	154	4	1	1	NUM
ejpam-4864	154	5	)	)	PUNCT
ejpam-4864	154	6	+	+	CCONJ
ejpam-4864	154	7	.	.	PUNCT
ejpam-4864	154	8	.	.	PUNCT
ejpam-4864	154	9	.	.	PUNCT
ejpam-4864	155	1	,	,	PUNCT
ejpam-4864	155	2	(	(	PUNCT
ejpam-4864	155	3	26c	26c	NOUN
ejpam-4864	155	4	)	)	PUNCT
ejpam-4864	155	5	α(t	α(t	PROPN
ejpam-4864	155	6	)	)	PUNCT
ejpam-4864	156	1	=	=	SYM
ejpam-4864	156	2	4.13−	4.13−	NUM
ejpam-4864	156	3	0.486571	0.486571	NUM
ejpam-4864	156	4	tε	tε	NUM
ejpam-4864	156	5	γ(ε+	γ(ε+	NOUN
ejpam-4864	156	6	1	1	NUM
ejpam-4864	156	7	)	)	PUNCT
ejpam-4864	156	8	+	+	CCONJ
ejpam-4864	156	9	1.35107	1.35107	NUM
ejpam-4864	156	10	t2ε	t2ε	PUNCT
ejpam-4864	156	11	γ(2ε+	γ(2ε+	NOUN
ejpam-4864	156	12	1	1	NUM
ejpam-4864	156	13	)	)	PUNCT
ejpam-4864	157	1	+	+	CCONJ
ejpam-4864	157	2	.	.	PUNCT
ejpam-4864	157	3	.	.	PUNCT
ejpam-4864	158	1	.	.	PUNCT
ejpam-4864	159	1	,	,	PUNCT
ejpam-4864	159	2	(	(	PUNCT
ejpam-4864	159	3	26d	26d	NOUN
ejpam-4864	159	4	)	)	PUNCT
ejpam-4864	159	5	which	which	PRON
ejpam-4864	159	6	is	be	AUX
ejpam-4864	159	7	the	the	DET
ejpam-4864	159	8	same	same	ADJ
ejpam-4864	159	9	exact	exact	ADJ
ejpam-4864	159	10	solution	solution	NOUN
ejpam-4864	159	11	obtained	obtain	VERB
ejpam-4864	159	12	by	by	ADP
ejpam-4864	159	13	using	use	VERB
ejpam-4864	159	14	the	the	DET
ejpam-4864	159	15	q	q	NOUN
ejpam-4864	159	16	-	-	PUNCT
ejpam-4864	159	17	homotopy	homotopy	NOUN
ejpam-4864	159	18	analysis	analysis	NOUN
ejpam-4864	159	19	transform	transform	NOUN
ejpam-4864	159	20	method	method	NOUN
ejpam-4864	159	21	(	(	PUNCT
ejpam-4864	159	22	q	q	NOUN
ejpam-4864	159	23	-	-	PUNCT
ejpam-4864	159	24	ham	ham	NOUN
ejpam-4864	159	25	)	)	PUNCT
ejpam-4864	159	26	.	.	PUNCT
ejpam-4864	160	1	figure	figure	VERB
ejpam-4864	160	2	1	1	NUM
ejpam-4864	160	3	:	:	PUNCT
ejpam-4864	160	4	natural	natural	ADJ
ejpam-4864	160	5	solution	solution	NOUN
ejpam-4864	160	6	of	of	ADP
ejpam-4864	160	7	a(τ	a(τ	PROPN
ejpam-4864	160	8	)	)	PUNCT
ejpam-4864	160	9	for	for	ADP
ejpam-4864	160	10	various	various	ADJ
ejpam-4864	160	11	values	value	NOUN
ejpam-4864	160	12	of	of	ADP
ejpam-4864	160	13	ε	ε	PROPN
ejpam-4864	160	14	that	that	PRON
ejpam-4864	160	15	are	be	AUX
ejpam-4864	160	16	similar	similar	ADJ
ejpam-4864	160	17	results	result	NOUN
ejpam-4864	160	18	obtained	obtain	VERB
ejpam-4864	160	19	via	via	ADP
ejpam-4864	160	20	[	[	X
ejpam-4864	160	21	13	13	NUM
ejpam-4864	160	22	]	]	PUNCT
ejpam-4864	160	23	.	.	PUNCT
ejpam-4864	161	1	h.	h.	PROPN
ejpam-4864	161	2	r.	r.	PROPN
ejpam-4864	161	3	abdl	abdl	PROPN
ejpam-4864	161	4	-	-	PUNCT
ejpam-4864	161	5	rahim	rahim	PROPN
ejpam-4864	161	6	et	et	PROPN
ejpam-4864	161	7	al	al	PROPN
ejpam-4864	161	8	.	.	PUNCT
ejpam-4864	161	9	/	/	SYM
ejpam-4864	161	10	eur	eur	PROPN
ejpam-4864	161	11	.	.	PUNCT
ejpam-4864	162	1	j.	j.	PROPN
ejpam-4864	162	2	pure	pure	PROPN
ejpam-4864	162	3	appl	appl	PROPN
ejpam-4864	162	4	.	.	PROPN
ejpam-4864	162	5	math	math	PROPN
ejpam-4864	162	6	,	,	PUNCT
ejpam-4864	162	7	16	16	NUM
ejpam-4864	162	8	(	(	PUNCT
ejpam-4864	162	9	4	4	NUM
ejpam-4864	162	10	)	)	PUNCT
ejpam-4864	162	11	(	(	PUNCT
ejpam-4864	162	12	2023	2023	NUM
ejpam-4864	162	13	)	)	PUNCT
ejpam-4864	162	14	,	,	PUNCT
ejpam-4864	162	15	2632	2632	NUM
ejpam-4864	162	16	-	-	SYM
ejpam-4864	162	17	2642	2642	NUM
ejpam-4864	162	18	2638	2638	NUM
ejpam-4864	162	19	figure	figure	NOUN
ejpam-4864	162	20	2	2	NUM
ejpam-4864	162	21	:	:	PUNCT
ejpam-4864	162	22	natural	natural	ADJ
ejpam-4864	162	23	solution	solution	NOUN
ejpam-4864	162	24	of	of	ADP
ejpam-4864	162	25	γ(τ	γ(τ	PROPN
ejpam-4864	162	26	)	)	PUNCT
ejpam-4864	162	27	for	for	ADP
ejpam-4864	162	28	various	various	ADJ
ejpam-4864	162	29	values	value	NOUN
ejpam-4864	162	30	of	of	ADP
ejpam-4864	162	31	ε	ε	PROPN
ejpam-4864	162	32	that	that	PRON
ejpam-4864	162	33	are	be	AUX
ejpam-4864	162	34	similar	similar	ADJ
ejpam-4864	162	35	results	result	NOUN
ejpam-4864	162	36	obtained	obtain	VERB
ejpam-4864	162	37	via	via	ADP
ejpam-4864	162	38	[	[	X
ejpam-4864	162	39	13	13	NUM
ejpam-4864	162	40	]	]	PUNCT
ejpam-4864	162	41	.	.	PUNCT
ejpam-4864	163	1	figure	figure	VERB
ejpam-4864	163	2	3	3	NUM
ejpam-4864	163	3	:	:	PUNCT
ejpam-4864	163	4	natural	natural	ADJ
ejpam-4864	163	5	solution	solution	NOUN
ejpam-4864	163	6	of	of	ADP
ejpam-4864	163	7	α(τ	α(τ	NUM
ejpam-4864	163	8	)	)	PUNCT
ejpam-4864	163	9	for	for	ADP
ejpam-4864	163	10	various	various	ADJ
ejpam-4864	163	11	values	value	NOUN
ejpam-4864	163	12	of	of	ADP
ejpam-4864	163	13	ε	ε	PROPN
ejpam-4864	163	14	that	that	PRON
ejpam-4864	163	15	are	be	AUX
ejpam-4864	163	16	similar	similar	ADJ
ejpam-4864	163	17	results	result	NOUN
ejpam-4864	163	18	obtained	obtain	VERB
ejpam-4864	163	19	via	via	ADP
ejpam-4864	163	20	[	[	X
ejpam-4864	163	21	13	13	NUM
ejpam-4864	163	22	]	]	PUNCT
ejpam-4864	163	23	.	.	PUNCT
ejpam-4864	164	1	references	reference	NOUN
ejpam-4864	164	2	2639	2639	NUM
ejpam-4864	164	3	4	4	NUM
ejpam-4864	164	4	.	.	PUNCT
ejpam-4864	164	5	conclusion	conclusion	VERB
ejpam-4864	164	6	the	the	DET
ejpam-4864	164	7	present	present	ADJ
ejpam-4864	164	8	paper	paper	NOUN
ejpam-4864	164	9	deals	deal	NOUN
ejpam-4864	164	10	with	with	ADP
ejpam-4864	164	11	the	the	DET
ejpam-4864	164	12	epidemic	epidemic	PROPN
ejpam-4864	164	13	mathematical	mathematical	ADJ
ejpam-4864	164	14	model	model	NOUN
ejpam-4864	164	15	,	,	PUNCT
ejpam-4864	164	16	which	which	PRON
ejpam-4864	164	17	is	be	AUX
ejpam-4864	164	18	solved	solve	VERB
ejpam-4864	164	19	via	via	ADP
ejpam-4864	164	20	the	the	DET
ejpam-4864	164	21	natural	natural	ADJ
ejpam-4864	164	22	transform	transform	NOUN
ejpam-4864	164	23	adomian	adomian	NOUN
ejpam-4864	164	24	decomposition	decomposition	NOUN
ejpam-4864	164	25	method	method	NOUN
ejpam-4864	164	26	.	.	PUNCT
ejpam-4864	165	1	it	it	PRON
ejpam-4864	165	2	is	be	AUX
ejpam-4864	165	3	found	find	VERB
ejpam-4864	165	4	that	that	SCONJ
ejpam-4864	165	5	the	the	DET
ejpam-4864	165	6	result	result	NOUN
ejpam-4864	165	7	of	of	ADP
ejpam-4864	165	8	the	the	DET
ejpam-4864	165	9	proposed	propose	VERB
ejpam-4864	165	10	method	method	NOUN
ejpam-4864	165	11	is	be	AUX
ejpam-4864	165	12	equivalent	equivalent	ADJ
ejpam-4864	165	13	to	to	ADP
ejpam-4864	165	14	those	those	PRON
ejpam-4864	165	15	of	of	ADP
ejpam-4864	165	16	q	q	NOUN
ejpam-4864	165	17	-	-	PUNCT
ejpam-4864	165	18	ham	ham	NOUN
ejpam-4864	165	19	.	.	PUNCT
ejpam-4864	166	1	the	the	DET
ejpam-4864	166	2	approximate	approximate	ADJ
ejpam-4864	166	3	analytical	analytical	ADJ
ejpam-4864	166	4	solutions	solution	NOUN
ejpam-4864	166	5	of	of	ADP
ejpam-4864	166	6	the	the	DET
ejpam-4864	166	7	fractional	fractional	ADJ
ejpam-4864	166	8	epidemic	epidemic	PROPN
ejpam-4864	166	9	mathematical	mathematical	ADJ
ejpam-4864	166	10	model	model	NOUN
ejpam-4864	166	11	gained	gain	VERB
ejpam-4864	166	12	via	via	ADP
ejpam-4864	166	13	ntadm	ntadm	PROPN
ejpam-4864	166	14	are	be	AUX
ejpam-4864	166	15	equivalent	equivalent	ADJ
ejpam-4864	166	16	to	to	ADP
ejpam-4864	166	17	qham	qham	PROPN
ejpam-4864	166	18	,	,	PUNCT
ejpam-4864	166	19	and	and	CCONJ
ejpam-4864	166	20	suitable	suitable	ADJ
ejpam-4864	166	21	for	for	ADP
ejpam-4864	166	22	various	various	ADJ
ejpam-4864	166	23	aspects	aspect	NOUN
ejpam-4864	166	24	of	of	ADP
ejpam-4864	166	25	science	science	NOUN
ejpam-4864	166	26	.	.	PUNCT
ejpam-4864	167	1	finally	finally	ADV
ejpam-4864	167	2	,	,	PUNCT
ejpam-4864	167	3	we	we	PRON
ejpam-4864	167	4	can	can	AUX
ejpam-4864	167	5	conclude	conclude	VERB
ejpam-4864	167	6	that	that	PRON
ejpam-4864	167	7	,	,	PUNCT
ejpam-4864	167	8	the	the	DET
ejpam-4864	167	9	present	present	ADJ
ejpam-4864	167	10	technique	technique	NOUN
ejpam-4864	167	11	is	be	AUX
ejpam-4864	167	12	generalization	generalization	NOUN
ejpam-4864	167	13	of	of	ADP
ejpam-4864	167	14	laplace	laplace	NOUN
ejpam-4864	167	15	and	and	CCONJ
ejpam-4864	167	16	sumudu	sumudu	NOUN
ejpam-4864	167	17	transforms	transform	VERB
ejpam-4864	167	18	.	.	PUNCT
ejpam-4864	168	1	by	by	ADP
ejpam-4864	168	2	setting	set	VERB
ejpam-4864	168	3	u	u	NOUN
ejpam-4864	168	4	=	=	NOUN
ejpam-4864	168	5	1	1	NUM
ejpam-4864	168	6	in	in	ADP
ejpam-4864	168	7	eq	eq	ADP
ejpam-4864	168	8	.	.	PUNCT
ejpam-4864	168	9	(	(	PUNCT
ejpam-4864	168	10	18	18	NUM
ejpam-4864	168	11	)	)	PUNCT
ejpam-4864	168	12	we	we	PRON
ejpam-4864	168	13	have	have	VERB
ejpam-4864	168	14	the	the	DET
ejpam-4864	168	15	solution	solution	NOUN
ejpam-4864	168	16	via	via	ADP
ejpam-4864	168	17	laplace	laplace	NOUN
ejpam-4864	168	18	transform	transform	NOUN
ejpam-4864	168	19	.	.	PUNCT
ejpam-4864	169	1	also	also	ADV
ejpam-4864	169	2	by	by	ADP
ejpam-4864	169	3	setting	set	VERB
ejpam-4864	169	4	s	s	PART
ejpam-4864	169	5	=	=	SYM
ejpam-4864	169	6	1	1	NUM
ejpam-4864	169	7	in	in	ADP
ejpam-4864	169	8	eq	eq	ADP
ejpam-4864	169	9	.	.	PUNCT
ejpam-4864	170	1	(	(	PUNCT
ejpam-4864	170	2	18	18	NUM
ejpam-4864	170	3	)	)	PUNCT
ejpam-4864	170	4	we	we	PRON
ejpam-4864	170	5	have	have	VERB
ejpam-4864	170	6	the	the	DET
ejpam-4864	170	7	same	same	ADJ
ejpam-4864	170	8	solution	solution	NOUN
ejpam-4864	170	9	via	via	ADP
ejpam-4864	170	10	sumudu	sumudu	NOUN
ejpam-4864	170	11	transform	transform	NOUN
ejpam-4864	170	12	.	.	PUNCT
ejpam-4864	171	1	in	in	ADP
ejpam-4864	171	2	the	the	DET
ejpam-4864	171	3	future	future	NOUN
ejpam-4864	171	4	,	,	PUNCT
ejpam-4864	171	5	we	we	PRON
ejpam-4864	171	6	will	will	AUX
ejpam-4864	171	7	employ	employ	VERB
ejpam-4864	171	8	the	the	DET
ejpam-4864	171	9	ntadm	ntadm	PROPN
ejpam-4864	171	10	to	to	PART
ejpam-4864	171	11	solve	solve	VERB
ejpam-4864	171	12	fdes	fde	NOUN
ejpam-4864	171	13	in	in	ADP
ejpam-4864	171	14	various	various	ADJ
ejpam-4864	171	15	aspects	aspect	NOUN
ejpam-4864	171	16	of	of	ADP
ejpam-4864	171	17	science	science	NOUN
ejpam-4864	171	18	.	.	PUNCT
ejpam-4864	172	1	acknowledgements	acknowledgement	NOUN
ejpam-4864	172	2	the	the	DET
ejpam-4864	172	3	researchers	researcher	NOUN
ejpam-4864	172	4	would	would	AUX
ejpam-4864	172	5	like	like	VERB
ejpam-4864	172	6	to	to	PART
ejpam-4864	172	7	acknowledge	acknowledge	VERB
ejpam-4864	172	8	deanship	deanship	NOUN
ejpam-4864	172	9	of	of	ADP
ejpam-4864	172	10	scientific	scientific	ADJ
ejpam-4864	172	11	researcher	researcher	NOUN
ejpam-4864	172	12	,	,	PUNCT
ejpam-4864	172	13	taif	taif	PROPN
ejpam-4864	172	14	university	university	PROPN
ejpam-4864	172	15	for	for	ADP
ejpam-4864	172	16	funding	fund	VERB
ejpam-4864	172	17	this	this	DET
ejpam-4864	172	18	work	work	NOUN
ejpam-4864	172	19	.	.	PUNCT
ejpam-4864	173	1	declarations	declaration	NOUN
ejpam-4864	173	2	ethical	ethical	ADJ
ejpam-4864	173	3	approval	approval	NOUN
ejpam-4864	173	4	:	:	PUNCT
ejpam-4864	173	5	all	all	DET
ejpam-4864	173	6	the	the	DET
ejpam-4864	173	7	authors	author	NOUN
ejpam-4864	173	8	demonstrating	demonstrate	VERB
ejpam-4864	173	9	that	that	SCONJ
ejpam-4864	173	10	they	they	PRON
ejpam-4864	173	11	have	have	AUX
ejpam-4864	173	12	adhered	adhere	VERB
ejpam-4864	173	13	to	to	ADP
ejpam-4864	173	14	the	the	DET
ejpam-4864	173	15	accepted	accept	VERB
ejpam-4864	173	16	ethical	ethical	ADJ
ejpam-4864	173	17	standards	standard	NOUN
ejpam-4864	173	18	of	of	ADP
ejpam-4864	173	19	a	a	DET
ejpam-4864	173	20	genuine	genuine	ADJ
ejpam-4864	173	21	research	research	NOUN
ejpam-4864	173	22	study	study	NOUN
ejpam-4864	173	23	.	.	PUNCT
ejpam-4864	174	1	consent	consent	NOUN
ejpam-4864	174	2	to	to	PART
ejpam-4864	174	3	participate	participate	VERB
ejpam-4864	174	4	:	:	PUNCT
ejpam-4864	174	5	being	be	AUX
ejpam-4864	174	6	the	the	DET
ejpam-4864	174	7	corresponding	corresponding	ADJ
ejpam-4864	174	8	author	author	NOUN
ejpam-4864	174	9	,	,	PUNCT
ejpam-4864	174	10	i	i	PRON
ejpam-4864	174	11	have	have	VERB
ejpam-4864	174	12	consent	consent	NOUN
ejpam-4864	174	13	to	to	PART
ejpam-4864	174	14	participate	participate	VERB
ejpam-4864	174	15	of	of	ADP
ejpam-4864	174	16	all	all	DET
ejpam-4864	174	17	the	the	DET
ejpam-4864	174	18	authors	author	NOUN
ejpam-4864	174	19	in	in	ADP
ejpam-4864	174	20	this	this	DET
ejpam-4864	174	21	research	research	NOUN
ejpam-4864	174	22	work	work	NOUN
ejpam-4864	174	23	.	.	PUNCT
ejpam-4864	175	1	consent	consent	NOUN
ejpam-4864	175	2	to	to	PART
ejpam-4864	175	3	publish	publish	VERB
ejpam-4864	175	4	:	:	PUNCT
ejpam-4864	175	5	all	all	DET
ejpam-4864	175	6	the	the	DET
ejpam-4864	175	7	authors	author	NOUN
ejpam-4864	175	8	are	be	AUX
ejpam-4864	175	9	agreed	agree	VERB
ejpam-4864	175	10	to	to	PART
ejpam-4864	175	11	publish	publish	VERB
ejpam-4864	175	12	this	this	DET
ejpam-4864	175	13	research	research	NOUN
ejpam-4864	175	14	work	work	NOUN
ejpam-4864	175	15	.	.	PUNCT
ejpam-4864	176	1	competing	compete	VERB
ejpam-4864	176	2	interests	interest	NOUN
ejpam-4864	176	3	:	:	PUNCT
ejpam-4864	176	4	authors	author	NOUN
ejpam-4864	176	5	declare	declare	VERB
ejpam-4864	176	6	no	no	DET
ejpam-4864	176	7	conflict	conflict	NOUN
ejpam-4864	176	8	of	of	ADP
ejpam-4864	176	9	interest	interest	NOUN
ejpam-4864	176	10	authors	author	NOUN
ejpam-4864	176	11	’	'	PUNCT
ejpam-4864	176	12	contributions	contribution	NOUN
ejpam-4864	176	13	all	all	DET
ejpam-4864	176	14	authors	author	NOUN
ejpam-4864	176	15	contributed	contribute	VERB
ejpam-4864	176	16	equally	equally	ADV
ejpam-4864	176	17	.	.	PUNCT
ejpam-4864	177	1	availability	availability	NOUN
ejpam-4864	177	2	of	of	ADP
ejpam-4864	177	3	data	datum	NOUN
ejpam-4864	177	4	and	and	CCONJ
ejpam-4864	177	5	materials	material	NOUN
ejpam-4864	177	6	:	:	PUNCT
ejpam-4864	177	7	data	datum	NOUN
ejpam-4864	177	8	will	will	AUX
ejpam-4864	177	9	be	be	AUX
ejpam-4864	177	10	provided	provide	VERB
ejpam-4864	177	11	on	on	ADP
ejpam-4864	177	12	request	request	NOUN
ejpam-4864	177	13	to	to	ADP
ejpam-4864	177	14	the	the	DET
ejpam-4864	177	15	corresponding	corresponding	ADJ
ejpam-4864	177	16	author	author	NOUN
ejpam-4864	177	17	.	.	PUNCT
ejpam-4864	178	1	references	reference	NOUN
ejpam-4864	178	2	[	[	X
ejpam-4864	178	3	1	1	NUM
ejpam-4864	178	4	]	]	X
ejpam-4864	178	5	hamdy	hamdy	NOUN
ejpam-4864	178	6	r	r	PROPN
ejpam-4864	178	7	abdl	abdl	PROPN
ejpam-4864	178	8	-	-	PUNCT
ejpam-4864	178	9	rahim	rahim	PROPN
ejpam-4864	178	10	,	,	PUNCT
ejpam-4864	178	11	mohra	mohra	NOUN
ejpam-4864	178	12	zayed	zaye	VERB
ejpam-4864	178	13	,	,	PUNCT
ejpam-4864	178	14	and	and	CCONJ
ejpam-4864	178	15	gamal	gamal	PROPN
ejpam-4864	178	16	m	m	PROPN
ejpam-4864	178	17	ismail	ismail	PROPN
ejpam-4864	178	18	.	.	PUNCT
ejpam-4864	179	1	analytical	analytical	ADJ
ejpam-4864	179	2	study	study	NOUN
ejpam-4864	179	3	of	of	ADP
ejpam-4864	179	4	fractional	fractional	ADJ
ejpam-4864	179	5	epidemic	epidemic	NOUN
ejpam-4864	179	6	model	model	NOUN
ejpam-4864	179	7	via	via	ADP
ejpam-4864	179	8	natural	natural	ADJ
ejpam-4864	179	9	transform	transform	NOUN
ejpam-4864	179	10	homotopy	homotopy	NOUN
ejpam-4864	179	11	analysis	analysis	NOUN
ejpam-4864	179	12	method	method	NOUN
ejpam-4864	179	13	.	.	PUNCT
ejpam-4864	180	1	symmetry	symmetry	NOUN
ejpam-4864	180	2	,	,	PUNCT
ejpam-4864	180	3	14(8):1695	14(8):1695	NUM
ejpam-4864	180	4	,	,	PUNCT
ejpam-4864	180	5	2022	2022	NUM
ejpam-4864	180	6	.	.	PUNCT
ejpam-4864	181	1	[	[	X
ejpam-4864	181	2	2	2	NUM
ejpam-4864	181	3	]	]	X
ejpam-4864	181	4	khalil	khalil	PROPN
ejpam-4864	181	5	s	s	PROPN
ejpam-4864	181	6	al	al	PROPN
ejpam-4864	181	7	-	-	PUNCT
ejpam-4864	181	8	ghafri	ghafri	PROPN
ejpam-4864	181	9	,	,	PUNCT
ejpam-4864	181	10	awad	awad	PROPN
ejpam-4864	181	11	t	t	PROPN
ejpam-4864	181	12	alabdala	alabdala	PROPN
ejpam-4864	181	13	,	,	PUNCT
ejpam-4864	181	14	saleh	saleh	PROPN
ejpam-4864	181	15	s	s	PART
ejpam-4864	181	16	redhwan	redhwan	NOUN
ejpam-4864	181	17	,	,	PUNCT
ejpam-4864	181	18	omar	omar	PROPN
ejpam-4864	181	19	bazighifan	bazighifan	PROPN
ejpam-4864	181	20	,	,	PUNCT
ejpam-4864	181	21	ali	ali	PROPN
ejpam-4864	181	22	hasan	hasan	PROPN
ejpam-4864	181	23	ali	ali	PROPN
ejpam-4864	181	24	,	,	PUNCT
ejpam-4864	181	25	and	and	CCONJ
ejpam-4864	181	26	loredana	loredana	PROPN
ejpam-4864	181	27	florentina	florentina	PROPN
ejpam-4864	181	28	iambor	iambor	PROPN
ejpam-4864	181	29	.	.	PUNCT
ejpam-4864	181	30	symmetrical	symmetrical	ADJ
ejpam-4864	181	31	solutions	solution	NOUN
ejpam-4864	181	32	for	for	ADP
ejpam-4864	181	33	non	non	ADJ
ejpam-4864	181	34	-	-	ADJ
ejpam-4864	181	35	local	local	ADJ
ejpam-4864	181	36	fractional	fractional	ADJ
ejpam-4864	181	37	integro	integro	ADJ
ejpam-4864	181	38	-	-	PUNCT
ejpam-4864	181	39	differential	differential	NOUN
ejpam-4864	181	40	equations	equation	NOUN
ejpam-4864	181	41	via	via	ADP
ejpam-4864	181	42	caputo	caputo	PROPN
ejpam-4864	181	43	–	–	PUNCT
ejpam-4864	181	44	katugampola	katugampola	PROPN
ejpam-4864	181	45	derivatives	derivative	NOUN
ejpam-4864	181	46	.	.	PUNCT
ejpam-4864	182	1	symmetry	symmetry	PROPN
ejpam-4864	182	2	,	,	PUNCT
ejpam-4864	182	3	15(3):662	15(3):662	NOUN
ejpam-4864	182	4	,	,	PUNCT
ejpam-4864	182	5	2023	2023	NUM
ejpam-4864	182	6	.	.	PUNCT
ejpam-4864	183	1	references	reference	NOUN
ejpam-4864	183	2	2640	2640	NUM
ejpam-4864	183	3	[	[	X
ejpam-4864	183	4	3	3	NUM
ejpam-4864	183	5	]	]	X
ejpam-4864	183	6	skq	skq	PROPN
ejpam-4864	183	7	al	al	PROPN
ejpam-4864	183	8	-	-	PUNCT
ejpam-4864	183	9	omari	omari	PROPN
ejpam-4864	183	10	.	.	PUNCT
ejpam-4864	184	1	on	on	ADP
ejpam-4864	184	2	the	the	DET
ejpam-4864	184	3	application	application	NOUN
ejpam-4864	184	4	of	of	ADP
ejpam-4864	184	5	natural	natural	ADJ
ejpam-4864	184	6	transforms	transform	NOUN
ejpam-4864	184	7	.	.	PUNCT
ejpam-4864	185	1	int	int	NOUN
ejpam-4864	185	2	.	.	PUNCT
ejpam-4864	186	1	j.	j.	PROPN
ejpam-4864	186	2	pure	pure	PROPN
ejpam-4864	186	3	appl	appl	PROPN
ejpam-4864	186	4	.	.	PUNCT
ejpam-4864	186	5	math	math	PROPN
ejpam-4864	186	6	,	,	PUNCT
ejpam-4864	186	7	85(4):729–744	85(4):729–744	NOUN
ejpam-4864	186	8	,	,	PUNCT
ejpam-4864	186	9	2013	2013	NUM
ejpam-4864	186	10	.	.	PUNCT
ejpam-4864	187	1	[	[	X
ejpam-4864	187	2	4	4	NUM
ejpam-4864	187	3	]	]	X
ejpam-4864	187	4	hammad	hammad	PROPN
ejpam-4864	187	5	alotaibi	alotaibi	PROPN
ejpam-4864	187	6	,	,	PUNCT
ejpam-4864	187	7	sm	sm	PROPN
ejpam-4864	187	8	abo	abo	PROPN
ejpam-4864	187	9	-	-	PUNCT
ejpam-4864	187	10	dahab	dahab	PROPN
ejpam-4864	187	11	,	,	PUNCT
ejpam-4864	187	12	hr	hr	NOUN
ejpam-4864	187	13	abdlrahim	abdlrahim	NOUN
ejpam-4864	187	14	,	,	PUNCT
ejpam-4864	187	15	and	and	CCONJ
ejpam-4864	187	16	aa	aa	PROPN
ejpam-4864	187	17	kilany	kilany	PROPN
ejpam-4864	187	18	.	.	PUNCT
ejpam-4864	188	1	fractional	fractional	ADJ
ejpam-4864	188	2	calculus	calculus	NOUN
ejpam-4864	188	3	of	of	ADP
ejpam-4864	188	4	thermoelastic	thermoelastic	ADJ
ejpam-4864	188	5	p	p	ADJ
ejpam-4864	188	6	-	-	PUNCT
ejpam-4864	188	7	waves	wave	NOUN
ejpam-4864	188	8	reflection	reflection	NOUN
ejpam-4864	188	9	under	under	ADP
ejpam-4864	188	10	influence	influence	NOUN
ejpam-4864	188	11	of	of	ADP
ejpam-4864	188	12	gravity	gravity	NOUN
ejpam-4864	188	13	and	and	CCONJ
ejpam-4864	188	14	electromagnetic	electromagnetic	ADJ
ejpam-4864	188	15	fields	field	NOUN
ejpam-4864	188	16	.	.	PUNCT
ejpam-4864	189	1	fractals	fractal	NOUN
ejpam-4864	189	2	,	,	PUNCT
ejpam-4864	189	3	28(08):2040037	28(08):2040037	NUM
ejpam-4864	189	4	,	,	PUNCT
ejpam-4864	189	5	2020	2020	NUM
ejpam-4864	189	6	.	.	PUNCT
ejpam-4864	190	1	[	[	X
ejpam-4864	190	2	5	5	NUM
ejpam-4864	190	3	]	]	X
ejpam-4864	190	4	uroosa	uroosa	PROPN
ejpam-4864	190	5	arshad	arshad	PROPN
ejpam-4864	190	6	,	,	PUNCT
ejpam-4864	190	7	mariam	mariam	PROPN
ejpam-4864	190	8	sultana	sultana	PROPN
ejpam-4864	190	9	,	,	PUNCT
ejpam-4864	190	10	ali	ali	PROPN
ejpam-4864	190	11	hasan	hasan	PROPN
ejpam-4864	190	12	ali	ali	PROPN
ejpam-4864	190	13	,	,	PUNCT
ejpam-4864	190	14	omar	omar	PROPN
ejpam-4864	190	15	bazighifan	bazighifan	PROPN
ejpam-4864	190	16	,	,	PUNCT
ejpam-4864	190	17	areej	areej	VERB
ejpam-4864	190	18	a	a	DET
ejpam-4864	190	19	almoneef	almoneef	NOUN
ejpam-4864	190	20	,	,	PUNCT
ejpam-4864	190	21	and	and	CCONJ
ejpam-4864	190	22	kamsing	kamse	VERB
ejpam-4864	190	23	nonlaopon	nonlaopon	ADV
ejpam-4864	190	24	.	.	PUNCT
ejpam-4864	191	1	numerical	numerical	ADJ
ejpam-4864	191	2	solutions	solution	NOUN
ejpam-4864	191	3	of	of	ADP
ejpam-4864	191	4	fractional	fractional	ADJ
ejpam-4864	191	5	-	-	PUNCT
ejpam-4864	191	6	order	order	NOUN
ejpam-4864	191	7	electrical	electrical	ADJ
ejpam-4864	191	8	rlc	rlc	PROPN
ejpam-4864	191	9	circuit	circuit	PROPN
ejpam-4864	191	10	equations	equation	NOUN
ejpam-4864	191	11	via	via	ADP
ejpam-4864	191	12	three	three	NUM
ejpam-4864	191	13	numerical	numerical	ADJ
ejpam-4864	191	14	techniques	technique	NOUN
ejpam-4864	191	15	.	.	PUNCT
ejpam-4864	192	1	mathematics	mathematic	NOUN
ejpam-4864	192	2	,	,	PUNCT
ejpam-4864	192	3	10(17):3071	10(17):3071	NUM
ejpam-4864	192	4	,	,	PUNCT
ejpam-4864	192	5	2022	2022	NUM
ejpam-4864	192	6	.	.	PUNCT
ejpam-4864	193	1	[	[	X
ejpam-4864	193	2	6	6	NUM
ejpam-4864	193	3	]	]	PUNCT
ejpam-4864	193	4	abdon	abdon	PROPN
ejpam-4864	193	5	atangana	atangana	PROPN
ejpam-4864	193	6	.	.	PUNCT
ejpam-4864	194	1	fractional	fractional	ADJ
ejpam-4864	194	2	discretization	discretization	NOUN
ejpam-4864	194	3	:	:	PUNCT
ejpam-4864	194	4	the	the	DET
ejpam-4864	194	5	african	african	PROPN
ejpam-4864	194	6	’s	’s	PART
ejpam-4864	194	7	tortoise	tortoise	NOUN
ejpam-4864	194	8	walk	walk	NOUN
ejpam-4864	194	9	.	.	PUNCT
ejpam-4864	195	1	chaos	chaos	NOUN
ejpam-4864	195	2	,	,	PUNCT
ejpam-4864	195	3	solitons	soliton	NOUN
ejpam-4864	195	4	&	&	CCONJ
ejpam-4864	195	5	fractals	fractal	NOUN
ejpam-4864	195	6	,	,	PUNCT
ejpam-4864	195	7	130:109399	130:109399	NUM
ejpam-4864	195	8	,	,	PUNCT
ejpam-4864	195	9	2020	2020	NUM
ejpam-4864	195	10	.	.	PUNCT
ejpam-4864	196	1	[	[	X
ejpam-4864	196	2	7	7	X
ejpam-4864	196	3	]	]	X
ejpam-4864	196	4	abdon	abdon	NOUN
ejpam-4864	196	5	atangana	atangana	PROPN
ejpam-4864	196	6	and	and	CCONJ
ejpam-4864	196	7	dumitru	dumitru	PROPN
ejpam-4864	196	8	baleanu	baleanu	NOUN
ejpam-4864	196	9	.	.	PUNCT
ejpam-4864	197	1	new	new	ADJ
ejpam-4864	197	2	fractional	fractional	ADJ
ejpam-4864	197	3	derivatives	derivative	NOUN
ejpam-4864	197	4	with	with	ADP
ejpam-4864	197	5	nonlocal	nonlocal	ADJ
ejpam-4864	197	6	and	and	CCONJ
ejpam-4864	197	7	non	non	ADJ
ejpam-4864	197	8	-	-	ADJ
ejpam-4864	197	9	singular	singular	ADJ
ejpam-4864	197	10	kernel	kernel	NOUN
ejpam-4864	197	11	:	:	PUNCT
ejpam-4864	197	12	theory	theory	NOUN
ejpam-4864	197	13	and	and	CCONJ
ejpam-4864	197	14	application	application	NOUN
ejpam-4864	197	15	to	to	PART
ejpam-4864	197	16	heat	heat	NOUN
ejpam-4864	197	17	transfer	transfer	NOUN
ejpam-4864	197	18	model	model	NOUN
ejpam-4864	197	19	.	.	PUNCT
ejpam-4864	198	1	arxiv	arxiv	PROPN
ejpam-4864	198	2	preprint	preprint	VERB
ejpam-4864	198	3	arxiv:1602.03408	arxiv:1602.03408	PROPN
ejpam-4864	198	4	,	,	PUNCT
ejpam-4864	198	5	2016	2016	NUM
ejpam-4864	198	6	.	.	PUNCT
ejpam-4864	199	1	[	[	X
ejpam-4864	199	2	8	8	NUM
ejpam-4864	199	3	]	]	X
ejpam-4864	199	4	abdon	abdon	NOUN
ejpam-4864	199	5	atangana	atangana	PROPN
ejpam-4864	199	6	and	and	CCONJ
ejpam-4864	199	7	zakia	zakia	PROPN
ejpam-4864	199	8	hammouch	hammouch	PROPN
ejpam-4864	199	9	.	.	PUNCT
ejpam-4864	200	1	fractional	fractional	ADJ
ejpam-4864	200	2	calculus	calculus	NOUN
ejpam-4864	200	3	with	with	ADP
ejpam-4864	200	4	power	power	NOUN
ejpam-4864	200	5	law	law	NOUN
ejpam-4864	200	6	:	:	PUNCT
ejpam-4864	200	7	the	the	DET
ejpam-4864	200	8	cradle	cradle	NOUN
ejpam-4864	200	9	of	of	ADP
ejpam-4864	200	10	our	our	PRON
ejpam-4864	200	11	ancestors	ancestor	NOUN
ejpam-4864	200	12	.	.	PUNCT
ejpam-4864	201	1	the	the	DET
ejpam-4864	201	2	european	european	PROPN
ejpam-4864	201	3	physical	physical	PROPN
ejpam-4864	201	4	journal	journal	PROPN
ejpam-4864	201	5	plus	plus	CCONJ
ejpam-4864	201	6	,	,	PUNCT
ejpam-4864	201	7	134(9):429	134(9):429	NUM
ejpam-4864	201	8	,	,	PUNCT
ejpam-4864	201	9	2019	2019	NUM
ejpam-4864	201	10	.	.	PUNCT
ejpam-4864	202	1	[	[	X
ejpam-4864	202	2	9	9	NUM
ejpam-4864	202	3	]	]	X
ejpam-4864	202	4	dumitru	dumitru	PROPN
ejpam-4864	202	5	baleanu	baleanu	PROPN
ejpam-4864	202	6	,	,	PUNCT
ejpam-4864	202	7	seher	seher	PROPN
ejpam-4864	202	8	melike	melike	NOUN
ejpam-4864	202	9	aydogn	aydogn	ADV
ejpam-4864	202	10	,	,	PUNCT
ejpam-4864	202	11	hakimeh	hakimeh	VERB
ejpam-4864	202	12	mohammadi	mohammadi	NOUN
ejpam-4864	202	13	,	,	PUNCT
ejpam-4864	202	14	and	and	CCONJ
ejpam-4864	202	15	shahram	shahram	PROPN
ejpam-4864	202	16	rezapour	rezapour	PROPN
ejpam-4864	202	17	.	.	PUNCT
ejpam-4864	203	1	on	on	ADP
ejpam-4864	203	2	modelling	modelling	NOUN
ejpam-4864	203	3	of	of	ADP
ejpam-4864	203	4	epidemic	epidemic	ADJ
ejpam-4864	203	5	childhood	childhood	NOUN
ejpam-4864	203	6	diseases	disease	NOUN
ejpam-4864	203	7	with	with	ADP
ejpam-4864	203	8	the	the	DET
ejpam-4864	203	9	caputo	caputo	PROPN
ejpam-4864	203	10	-	-	PUNCT
ejpam-4864	203	11	fabrizio	fabrizio	PROPN
ejpam-4864	203	12	derivative	derivative	NOUN
ejpam-4864	203	13	by	by	ADP
ejpam-4864	203	14	using	use	VERB
ejpam-4864	203	15	the	the	DET
ejpam-4864	203	16	laplace	laplace	NOUN
ejpam-4864	203	17	adomian	adomian	NOUN
ejpam-4864	203	18	decomposition	decomposition	NOUN
ejpam-4864	203	19	method	method	NOUN
ejpam-4864	203	20	.	.	PUNCT
ejpam-4864	204	1	alexandria	alexandria	PROPN
ejpam-4864	204	2	engineering	engineering	PROPN
ejpam-4864	204	3	journal	journal	PROPN
ejpam-4864	204	4	,	,	PUNCT
ejpam-4864	204	5	59(5):3029–3039	59(5):3029–3039	NUM
ejpam-4864	204	6	,	,	PUNCT
ejpam-4864	204	7	2020	2020	NUM
ejpam-4864	204	8	.	.	PUNCT
ejpam-4864	205	1	[	[	X
ejpam-4864	205	2	10	10	NUM
ejpam-4864	205	3	]	]	X
ejpam-4864	205	4	dumitru	dumitru	PROPN
ejpam-4864	205	5	baleanu	baleanu	PROPN
ejpam-4864	205	6	,	,	PUNCT
ejpam-4864	205	7	amin	amin	PROPN
ejpam-4864	205	8	jajarmi	jajarmi	PROPN
ejpam-4864	205	9	,	,	PUNCT
ejpam-4864	205	10	hakimeh	hakimeh	VERB
ejpam-4864	205	11	mohammadi	mohammadi	NOUN
ejpam-4864	205	12	,	,	PUNCT
ejpam-4864	205	13	and	and	CCONJ
ejpam-4864	205	14	shahram	shahram	PROPN
ejpam-4864	205	15	rezapour	rezapour	PROPN
ejpam-4864	205	16	.	.	PUNCT
ejpam-4864	206	1	a	a	DET
ejpam-4864	206	2	new	new	ADJ
ejpam-4864	206	3	study	study	NOUN
ejpam-4864	206	4	on	on	ADP
ejpam-4864	206	5	the	the	DET
ejpam-4864	206	6	mathematical	mathematical	ADJ
ejpam-4864	206	7	modelling	modelling	NOUN
ejpam-4864	206	8	of	of	ADP
ejpam-4864	206	9	human	human	ADJ
ejpam-4864	206	10	liver	liver	NOUN
ejpam-4864	206	11	with	with	ADP
ejpam-4864	206	12	caputo	caputo	PROPN
ejpam-4864	206	13	–	–	PUNCT
ejpam-4864	206	14	fabrizio	fabrizio	PROPN
ejpam-4864	206	15	fractional	fractional	PROPN
ejpam-4864	206	16	derivative	derivative	NOUN
ejpam-4864	206	17	.	.	PUNCT
ejpam-4864	207	1	chaos	chaos	NOUN
ejpam-4864	207	2	,	,	PUNCT
ejpam-4864	207	3	solitons	soliton	NOUN
ejpam-4864	207	4	&	&	CCONJ
ejpam-4864	207	5	fractals	fractal	NOUN
ejpam-4864	207	6	,	,	PUNCT
ejpam-4864	207	7	134:109705	134:109705	NUM
ejpam-4864	207	8	,	,	PUNCT
ejpam-4864	207	9	2020	2020	NUM
ejpam-4864	207	10	.	.	PUNCT
ejpam-4864	208	1	[	[	X
ejpam-4864	208	2	11	11	NUM
ejpam-4864	208	3	]	]	X
ejpam-4864	208	4	haci	haci	PROPN
ejpam-4864	208	5	mehmet	mehmet	PROPN
ejpam-4864	208	6	baskonus	baskonus	PROPN
ejpam-4864	208	7	,	,	PUNCT
ejpam-4864	208	8	hasan	hasan	PROPN
ejpam-4864	208	9	bulut	bulut	PROPN
ejpam-4864	208	10	,	,	PUNCT
ejpam-4864	208	11	and	and	CCONJ
ejpam-4864	208	12	yusuf	yusuf	PROPN
ejpam-4864	208	13	pandir	pandir	NOUN
ejpam-4864	208	14	.	.	PUNCT
ejpam-4864	209	1	the	the	DET
ejpam-4864	209	2	natural	natural	ADJ
ejpam-4864	209	3	transform	transform	NOUN
ejpam-4864	209	4	decomposition	decomposition	NOUN
ejpam-4864	209	5	method	method	NOUN
ejpam-4864	209	6	for	for	ADP
ejpam-4864	209	7	linear	linear	ADJ
ejpam-4864	209	8	and	and	CCONJ
ejpam-4864	209	9	nonlinear	nonlinear	ADJ
ejpam-4864	209	10	partial	partial	ADJ
ejpam-4864	209	11	differential	differential	NOUN
ejpam-4864	209	12	equations	equation	NOUN
ejpam-4864	209	13	.	.	PUNCT
ejpam-4864	210	1	mathematics	mathematic	NOUN
ejpam-4864	210	2	in	in	ADP
ejpam-4864	210	3	engineering	engineering	PROPN
ejpam-4864	210	4	,	,	PUNCT
ejpam-4864	210	5	science	science	PROPN
ejpam-4864	210	6	&	&	CCONJ
ejpam-4864	210	7	aerospace	aerospace	PROPN
ejpam-4864	210	8	(	(	PUNCT
ejpam-4864	210	9	mesa	mesa	PROPN
ejpam-4864	210	10	)	)	PUNCT
ejpam-4864	210	11	,	,	PUNCT
ejpam-4864	210	12	5(1	5(1	NUM
ejpam-4864	210	13	)	)	PUNCT
ejpam-4864	210	14	,	,	PUNCT
ejpam-4864	210	15	2014	2014	NUM
ejpam-4864	210	16	.	.	PUNCT
ejpam-4864	211	1	[	[	X
ejpam-4864	211	2	12	12	NUM
ejpam-4864	211	3	]	]	X
ejpam-4864	211	4	hasan	hasan	PROPN
ejpam-4864	211	5	bulut	bulut	PROPN
ejpam-4864	211	6	,	,	PUNCT
ejpam-4864	211	7	haci	haci	PROPN
ejpam-4864	211	8	mehmet	mehmet	PROPN
ejpam-4864	211	9	baskonus	baskonus	PROPN
ejpam-4864	211	10	,	,	PUNCT
ejpam-4864	211	11	fethi	fethi	PROPN
ejpam-4864	211	12	bin	bin	PROPN
ejpam-4864	211	13	muhammad	muhammad	PROPN
ejpam-4864	211	14	belgacem	belgacem	NOUN
ejpam-4864	211	15	,	,	PUNCT
ejpam-4864	211	16	et	et	PROPN
ejpam-4864	211	17	al	al	PROPN
ejpam-4864	211	18	.	.	PUNCT
ejpam-4864	212	1	the	the	DET
ejpam-4864	212	2	analytical	analytical	ADJ
ejpam-4864	212	3	solution	solution	NOUN
ejpam-4864	212	4	of	of	ADP
ejpam-4864	212	5	some	some	DET
ejpam-4864	212	6	fractional	fractional	ADJ
ejpam-4864	212	7	ordinary	ordinary	ADJ
ejpam-4864	212	8	differential	differential	ADJ
ejpam-4864	212	9	equations	equation	NOUN
ejpam-4864	212	10	by	by	ADP
ejpam-4864	212	11	the	the	DET
ejpam-4864	212	12	sumudu	sumudu	NOUN
ejpam-4864	212	13	transform	transform	NOUN
ejpam-4864	212	14	method	method	NOUN
ejpam-4864	212	15	.	.	PUNCT
ejpam-4864	213	1	in	in	ADP
ejpam-4864	213	2	abstract	abstract	ADJ
ejpam-4864	213	3	and	and	CCONJ
ejpam-4864	213	4	applied	apply	VERB
ejpam-4864	213	5	analysis	analysis	NOUN
ejpam-4864	213	6	,	,	PUNCT
ejpam-4864	213	7	volume	volume	NOUN
ejpam-4864	213	8	2013	2013	NUM
ejpam-4864	213	9	.	.	PUNCT
ejpam-4864	214	1	hindawi	hindawi	ADJ
ejpam-4864	214	2	,	,	PUNCT
ejpam-4864	214	3	2013	2013	NUM
ejpam-4864	214	4	.	.	PUNCT
ejpam-4864	215	1	[	[	X
ejpam-4864	215	2	13	13	NUM
ejpam-4864	215	3	]	]	PUNCT
ejpam-4864	215	4	wei	wei	PROPN
ejpam-4864	215	5	gao	gao	PROPN
ejpam-4864	215	6	,	,	PUNCT
ejpam-4864	215	7	p	p	NOUN
ejpam-4864	215	8	veeresha	veeresha	PROPN
ejpam-4864	215	9	,	,	PUNCT
ejpam-4864	215	10	haci	haci	PROPN
ejpam-4864	215	11	mehmet	mehmet	PROPN
ejpam-4864	215	12	baskonus	baskonus	PROPN
ejpam-4864	215	13	,	,	PUNCT
ejpam-4864	215	14	dg	dg	PROPN
ejpam-4864	215	15	prakasha	prakasha	NOUN
ejpam-4864	215	16	,	,	PUNCT
ejpam-4864	215	17	and	and	CCONJ
ejpam-4864	215	18	pushpendra	pushpendra	PROPN
ejpam-4864	215	19	kumar	kumar	PROPN
ejpam-4864	215	20	.	.	PUNCT
ejpam-4864	216	1	a	a	DET
ejpam-4864	216	2	new	new	ADJ
ejpam-4864	216	3	study	study	NOUN
ejpam-4864	216	4	of	of	ADP
ejpam-4864	216	5	unreported	unreported	ADJ
ejpam-4864	216	6	cases	case	NOUN
ejpam-4864	216	7	of	of	ADP
ejpam-4864	216	8	2019	2019	NUM
ejpam-4864	216	9	-	-	PUNCT
ejpam-4864	216	10	ncov	ncov	ADV
ejpam-4864	216	11	epidemic	epidemic	NOUN
ejpam-4864	216	12	outbreaks	outbreak	NOUN
ejpam-4864	216	13	.	.	PUNCT
ejpam-4864	217	1	chaos	chaos	NOUN
ejpam-4864	217	2	,	,	PUNCT
ejpam-4864	217	3	solitons	soliton	NOUN
ejpam-4864	217	4	&	&	CCONJ
ejpam-4864	217	5	fractals	fractal	NOUN
ejpam-4864	217	6	,	,	PUNCT
ejpam-4864	217	7	138:109929	138:109929	NUM
ejpam-4864	217	8	,	,	PUNCT
ejpam-4864	217	9	2020	2020	NUM
ejpam-4864	217	10	.	.	PUNCT
ejpam-4864	218	1	[	[	X
ejpam-4864	218	2	14	14	NUM
ejpam-4864	218	3	]	]	X
ejpam-4864	218	4	gamal	gamal	PROPN
ejpam-4864	218	5	mohamed	mohamed	PROPN
ejpam-4864	218	6	ismail	ismail	PROPN
ejpam-4864	218	7	,	,	PUNCT
ejpam-4864	218	8	hamdy	hamdy	PROPN
ejpam-4864	218	9	ragab	ragab	PROPN
ejpam-4864	218	10	abdl	abdl	PROPN
ejpam-4864	218	11	-	-	PUNCT
ejpam-4864	218	12	rahim	rahim	PROPN
ejpam-4864	218	13	,	,	PUNCT
ejpam-4864	218	14	hijaz	hijaz	PROPN
ejpam-4864	218	15	ahmad	ahmad	PROPN
ejpam-4864	218	16	,	,	PUNCT
ejpam-4864	218	17	and	and	CCONJ
ejpam-4864	218	18	yu	yu	PROPN
ejpam-4864	218	19	-	-	PUNCT
ejpam-4864	218	20	ming	ming	PROPN
ejpam-4864	218	21	chu	chu	PROPN
ejpam-4864	218	22	.	.	PUNCT
ejpam-4864	219	1	fractional	fractional	ADJ
ejpam-4864	219	2	residual	residual	ADJ
ejpam-4864	219	3	power	power	NOUN
ejpam-4864	219	4	series	series	NOUN
ejpam-4864	219	5	method	method	NOUN
ejpam-4864	219	6	for	for	ADP
ejpam-4864	219	7	the	the	DET
ejpam-4864	219	8	analytical	analytical	ADJ
ejpam-4864	219	9	and	and	CCONJ
ejpam-4864	219	10	approximate	approximate	ADJ
ejpam-4864	219	11	studies	study	NOUN
ejpam-4864	219	12	of	of	ADP
ejpam-4864	219	13	fractional	fractional	ADJ
ejpam-4864	219	14	physical	physical	ADJ
ejpam-4864	219	15	phenomena	phenomenon	NOUN
ejpam-4864	219	16	.	.	PUNCT
ejpam-4864	220	1	open	open	ADJ
ejpam-4864	220	2	physics	physics	PROPN
ejpam-4864	220	3	,	,	PUNCT
ejpam-4864	220	4	18(1):799–805	18(1):799–805	PROPN
ejpam-4864	220	5	,	,	PUNCT
ejpam-4864	220	6	2020	2020	NUM
ejpam-4864	220	7	.	.	PUNCT
ejpam-4864	221	1	references	reference	NOUN
ejpam-4864	221	2	2641	2641	NUM
ejpam-4864	222	1	[	[	X
ejpam-4864	222	2	15	15	NUM
ejpam-4864	222	3	]	]	X
ejpam-4864	222	4	gm	gm	PROPN
ejpam-4864	222	5	ismail	ismail	PROPN
ejpam-4864	222	6	,	,	PUNCT
ejpam-4864	222	7	hr	hr	NOUN
ejpam-4864	222	8	abdl	abdl	PROPN
ejpam-4864	222	9	-	-	PUNCT
ejpam-4864	222	10	rahim	rahim	PROPN
ejpam-4864	222	11	,	,	PUNCT
ejpam-4864	222	12	a	a	DET
ejpam-4864	222	13	abdel	abdel	PROPN
ejpam-4864	222	14	-	-	PUNCT
ejpam-4864	222	15	aty	aty	PROPN
ejpam-4864	222	16	,	,	PUNCT
ejpam-4864	222	17	r	r	NOUN
ejpam-4864	222	18	kharabsheh	kharabsheh	NOUN
ejpam-4864	222	19	,	,	PUNCT
ejpam-4864	222	20	w	w	NOUN
ejpam-4864	222	21	alharbi	alharbi	NOUN
ejpam-4864	222	22	,	,	PUNCT
ejpam-4864	222	23	and	and	CCONJ
ejpam-4864	222	24	m	m	PROPN
ejpam-4864	222	25	abdelaty	abdelaty	NOUN
ejpam-4864	222	26	.	.	PUNCT
ejpam-4864	223	1	an	an	DET
ejpam-4864	223	2	analytical	analytical	ADJ
ejpam-4864	223	3	solution	solution	NOUN
ejpam-4864	223	4	for	for	ADP
ejpam-4864	223	5	fractional	fractional	ADJ
ejpam-4864	223	6	oscillator	oscillator	NOUN
ejpam-4864	223	7	in	in	ADP
ejpam-4864	223	8	a	a	DET
ejpam-4864	223	9	resisting	resist	VERB
ejpam-4864	223	10	medium	medium	NOUN
ejpam-4864	223	11	.	.	PUNCT
ejpam-4864	224	1	chaos	chaos	NOUN
ejpam-4864	224	2	,	,	PUNCT
ejpam-4864	224	3	solitons	soliton	NOUN
ejpam-4864	224	4	&	&	CCONJ
ejpam-4864	224	5	fractals	fractal	NOUN
ejpam-4864	224	6	,	,	PUNCT
ejpam-4864	224	7	130:109395	130:109395	NUM
ejpam-4864	224	8	,	,	PUNCT
ejpam-4864	224	9	2020	2020	NUM
ejpam-4864	224	10	.	.	PUNCT
ejpam-4864	225	1	[	[	X
ejpam-4864	225	2	16	16	NUM
ejpam-4864	225	3	]	]	X
ejpam-4864	225	4	amin	amin	PROPN
ejpam-4864	225	5	jajarmi	jajarmi	PROPN
ejpam-4864	225	6	,	,	PUNCT
ejpam-4864	225	7	dumitru	dumitru	PROPN
ejpam-4864	225	8	baleanu	baleanu	PROPN
ejpam-4864	225	9	,	,	PUNCT
ejpam-4864	225	10	samaneh	samaneh	PROPN
ejpam-4864	225	11	sadat	sadat	PROPN
ejpam-4864	225	12	sajjadi	sajjadi	PROPN
ejpam-4864	225	13	,	,	PUNCT
ejpam-4864	225	14	and	and	CCONJ
ejpam-4864	225	15	jihad	jihad	PROPN
ejpam-4864	225	16	h	h	PROPN
ejpam-4864	225	17	asad	asad	PROPN
ejpam-4864	225	18	.	.	PUNCT
ejpam-4864	226	1	a	a	DET
ejpam-4864	226	2	new	new	ADJ
ejpam-4864	226	3	feature	feature	NOUN
ejpam-4864	226	4	of	of	ADP
ejpam-4864	226	5	the	the	DET
ejpam-4864	226	6	fractional	fractional	PROPN
ejpam-4864	226	7	euler	euler	PROPN
ejpam-4864	226	8	–	–	PUNCT
ejpam-4864	226	9	lagrange	lagrange	NOUN
ejpam-4864	226	10	equations	equation	NOUN
ejpam-4864	226	11	for	for	ADP
ejpam-4864	226	12	a	a	DET
ejpam-4864	226	13	coupled	couple	VERB
ejpam-4864	226	14	oscillator	oscillator	NOUN
ejpam-4864	226	15	using	use	VERB
ejpam-4864	226	16	a	a	DET
ejpam-4864	226	17	nonsingular	nonsingular	ADJ
ejpam-4864	226	18	operator	operator	NOUN
ejpam-4864	226	19	approach	approach	NOUN
ejpam-4864	226	20	.	.	PUNCT
ejpam-4864	227	1	frontiers	frontier	NOUN
ejpam-4864	227	2	in	in	ADP
ejpam-4864	227	3	physics	physics	PROPN
ejpam-4864	227	4	,	,	PUNCT
ejpam-4864	227	5	7:196	7:196	PROPN
ejpam-4864	227	6	,	,	PUNCT
ejpam-4864	227	7	2019	2019	NUM
ejpam-4864	227	8	.	.	PUNCT
ejpam-4864	228	1	[	[	X
ejpam-4864	228	2	17	17	NUM
ejpam-4864	228	3	]	]	X
ejpam-4864	228	4	zafar	zafar	PROPN
ejpam-4864	228	5	h	h	PROPN
ejpam-4864	228	6	khan	khan	PROPN
ejpam-4864	228	7	and	and	CCONJ
ejpam-4864	228	8	waqar	waqar	PROPN
ejpam-4864	228	9	a	a	DET
ejpam-4864	228	10	khan	khan	PROPN
ejpam-4864	228	11	.	.	PUNCT
ejpam-4864	229	1	n	n	CCONJ
ejpam-4864	229	2	-	-	PUNCT
ejpam-4864	229	3	transform	transform	NOUN
ejpam-4864	229	4	properties	property	NOUN
ejpam-4864	229	5	and	and	CCONJ
ejpam-4864	229	6	applications	application	NOUN
ejpam-4864	229	7	.	.	PUNCT
ejpam-4864	230	1	nust	nust	PROPN
ejpam-4864	230	2	journal	journal	PROPN
ejpam-4864	230	3	of	of	ADP
ejpam-4864	230	4	engineering	engineering	NOUN
ejpam-4864	230	5	sciences	science	NOUN
ejpam-4864	230	6	,	,	PUNCT
ejpam-4864	230	7	1(1):127–133	1(1):127–133	NUM
ejpam-4864	230	8	,	,	PUNCT
ejpam-4864	230	9	2008	2008	NUM
ejpam-4864	230	10	.	.	PUNCT
ejpam-4864	231	1	[	[	X
ejpam-4864	231	2	18	18	NUM
ejpam-4864	231	3	]	]	PUNCT
ejpam-4864	231	4	zhihua	zhihua	PROPN
ejpam-4864	231	5	liu	liu	PROPN
ejpam-4864	231	6	,	,	PUNCT
ejpam-4864	231	7	pierre	pierre	PROPN
ejpam-4864	231	8	magal	magal	ADJ
ejpam-4864	231	9	,	,	PUNCT
ejpam-4864	231	10	ousmane	ousmane	ADJ
ejpam-4864	231	11	seydi	seydi	NOUN
ejpam-4864	231	12	,	,	PUNCT
ejpam-4864	231	13	and	and	CCONJ
ejpam-4864	231	14	glenn	glenn	PROPN
ejpam-4864	231	15	webb	webb	PROPN
ejpam-4864	231	16	.	.	PUNCT
ejpam-4864	232	1	understanding	understand	VERB
ejpam-4864	232	2	unreported	unreported	ADJ
ejpam-4864	232	3	cases	case	NOUN
ejpam-4864	232	4	in	in	ADP
ejpam-4864	232	5	the	the	DET
ejpam-4864	232	6	covid-19	covid-19	PROPN
ejpam-4864	232	7	epidemic	epidemic	NOUN
ejpam-4864	232	8	outbreak	outbreak	NOUN
ejpam-4864	232	9	in	in	ADP
ejpam-4864	232	10	wuhan	wuhan	PROPN
ejpam-4864	232	11	,	,	PUNCT
ejpam-4864	232	12	china	china	PROPN
ejpam-4864	232	13	,	,	PUNCT
ejpam-4864	232	14	and	and	CCONJ
ejpam-4864	232	15	the	the	DET
ejpam-4864	232	16	importance	importance	NOUN
ejpam-4864	232	17	of	of	ADP
ejpam-4864	232	18	major	major	ADJ
ejpam-4864	232	19	public	public	ADJ
ejpam-4864	232	20	health	health	NOUN
ejpam-4864	232	21	interventions	intervention	NOUN
ejpam-4864	232	22	.	.	PUNCT
ejpam-4864	233	1	biology	biology	NOUN
ejpam-4864	233	2	,	,	PUNCT
ejpam-4864	233	3	9(3):50	9(3):50	NUM
ejpam-4864	233	4	,	,	PUNCT
ejpam-4864	233	5	2020	2020	NUM
ejpam-4864	233	6	.	.	PUNCT
ejpam-4864	234	1	[	[	X
ejpam-4864	234	2	19	19	NUM
ejpam-4864	234	3	]	]	PUNCT
ejpam-4864	234	4	deshna	deshna	VERB
ejpam-4864	234	5	loonker	loonker	NOUN
ejpam-4864	234	6	and	and	CCONJ
ejpam-4864	234	7	pk	pk	NOUN
ejpam-4864	234	8	banerji	banerji	NOUN
ejpam-4864	234	9	.	.	PUNCT
ejpam-4864	235	1	applications	application	NOUN
ejpam-4864	235	2	of	of	ADP
ejpam-4864	235	3	natural	natural	ADJ
ejpam-4864	235	4	transform	transform	NOUN
ejpam-4864	235	5	to	to	ADP
ejpam-4864	235	6	differential	differential	ADJ
ejpam-4864	235	7	equations	equation	NOUN
ejpam-4864	235	8	.	.	PUNCT
ejpam-4864	236	1	j.	j.	PROPN
ejpam-4864	236	2	indian	indian	PROPN
ejpam-4864	236	3	acad	acad	PROPN
ejpam-4864	236	4	.	.	PUNCT
ejpam-4864	237	1	math	math	NOUN
ejpam-4864	237	2	,	,	PUNCT
ejpam-4864	237	3	35(1):151–158	35(1):151–158	NUM
ejpam-4864	237	4	,	,	PUNCT
ejpam-4864	237	5	2013	2013	NUM
ejpam-4864	237	6	.	.	PUNCT
ejpam-4864	238	1	[	[	X
ejpam-4864	238	2	20	20	NUM
ejpam-4864	238	3	]	]	PUNCT
ejpam-4864	238	4	deshna	deshna	VERB
ejpam-4864	238	5	loonker	loonker	NOUN
ejpam-4864	238	6	and	and	CCONJ
ejpam-4864	238	7	pk	pk	NOUN
ejpam-4864	238	8	banerji	banerji	NOUN
ejpam-4864	238	9	.	.	PUNCT
ejpam-4864	239	1	natural	natural	ADJ
ejpam-4864	239	2	transform	transform	NOUN
ejpam-4864	239	3	for	for	ADP
ejpam-4864	239	4	distribution	distribution	NOUN
ejpam-4864	239	5	and	and	CCONJ
ejpam-4864	239	6	boehmian	boehmian	ADJ
ejpam-4864	239	7	spaces	space	NOUN
ejpam-4864	239	8	.	.	PUNCT
ejpam-4864	240	1	mathematics	mathematic	NOUN
ejpam-4864	240	2	in	in	ADP
ejpam-4864	240	3	engineering	engineering	PROPN
ejpam-4864	240	4	,	,	PUNCT
ejpam-4864	240	5	science	science	PROPN
ejpam-4864	240	6	&	&	CCONJ
ejpam-4864	240	7	aerospace	aerospace	PROPN
ejpam-4864	240	8	(	(	PUNCT
ejpam-4864	240	9	mesa	mesa	PROPN
ejpam-4864	240	10	)	)	PUNCT
ejpam-4864	240	11	,	,	PUNCT
ejpam-4864	240	12	4(1	4(1	NOUN
ejpam-4864	240	13	)	)	PUNCT
ejpam-4864	240	14	,	,	PUNCT
ejpam-4864	240	15	2013	2013	NUM
ejpam-4864	240	16	.	.	PUNCT
ejpam-4864	241	1	[	[	X
ejpam-4864	241	2	21	21	NUM
ejpam-4864	241	3	]	]	X
ejpam-4864	241	4	deshna	deshna	VERB
ejpam-4864	241	5	loonker	loonker	NOUN
ejpam-4864	241	6	and	and	CCONJ
ejpam-4864	241	7	pk	pk	NOUN
ejpam-4864	241	8	banerji	banerji	NOUN
ejpam-4864	241	9	.	.	PUNCT
ejpam-4864	242	1	solution	solution	NOUN
ejpam-4864	242	2	of	of	ADP
ejpam-4864	242	3	fractional	fractional	ADJ
ejpam-4864	242	4	ordinary	ordinary	ADJ
ejpam-4864	242	5	differential	differential	ADJ
ejpam-4864	242	6	equations	equation	NOUN
ejpam-4864	242	7	by	by	ADP
ejpam-4864	242	8	natural	natural	ADJ
ejpam-4864	242	9	transform	transform	NOUN
ejpam-4864	242	10	.	.	PUNCT
ejpam-4864	243	1	int	int	NOUN
ejpam-4864	243	2	.	.	PUNCT
ejpam-4864	244	1	j.	j.	PROPN
ejpam-4864	244	2	math	math	PROPN
ejpam-4864	244	3	.	.	PUNCT
ejpam-4864	245	1	eng	eng	PROPN
ejpam-4864	245	2	.	.	PUNCT
ejpam-4864	246	1	sci	sci	PROPN
ejpam-4864	246	2	,	,	PUNCT
ejpam-4864	246	3	12(2):1–7	12(2):1–7	NUM
ejpam-4864	246	4	,	,	PUNCT
ejpam-4864	246	5	2013	2013	NUM
ejpam-4864	246	6	.	.	PUNCT
ejpam-4864	247	1	[	[	X
ejpam-4864	247	2	22	22	NUM
ejpam-4864	247	3	]	]	PUNCT
ejpam-4864	247	4	deshna	deshna	VERB
ejpam-4864	247	5	loonker	loonker	NOUN
ejpam-4864	247	6	and	and	CCONJ
ejpam-4864	247	7	pk	pk	NOUN
ejpam-4864	247	8	banerji	banerji	NOUN
ejpam-4864	247	9	.	.	PUNCT
ejpam-4864	248	1	natural	natural	ADJ
ejpam-4864	248	2	transform	transform	NOUN
ejpam-4864	248	3	and	and	CCONJ
ejpam-4864	248	4	solution	solution	NOUN
ejpam-4864	248	5	of	of	ADP
ejpam-4864	248	6	integral	integral	ADJ
ejpam-4864	248	7	equations	equation	NOUN
ejpam-4864	248	8	for	for	ADP
ejpam-4864	248	9	distribution	distribution	NOUN
ejpam-4864	248	10	spaces	space	NOUN
ejpam-4864	248	11	.	.	PUNCT
ejpam-4864	249	1	american	american	ADJ
ejpam-4864	249	2	journal	journal	PROPN
ejpam-4864	249	3	of	of	ADP
ejpam-4864	249	4	mathematics	mathematics	PROPN
ejpam-4864	249	5	and	and	CCONJ
ejpam-4864	249	6	sciences	science	NOUN
ejpam-4864	249	7	,	,	PUNCT
ejpam-4864	249	8	3(1):65–72	3(1):65–72	NUM
ejpam-4864	249	9	,	,	PUNCT
ejpam-4864	249	10	2014	2014	NUM
ejpam-4864	249	11	.	.	PUNCT
ejpam-4864	250	1	[	[	X
ejpam-4864	250	2	23	23	NUM
ejpam-4864	250	3	]	]	X
ejpam-4864	250	4	fethi	fethi	PROPN
ejpam-4864	250	5	bin	bin	PROPN
ejpam-4864	250	6	muhammed	muhamme	VERB
ejpam-4864	250	7	belgacem	belgacem	NOUN
ejpam-4864	250	8	and	and	CCONJ
ejpam-4864	250	9	r	r	PROPN
ejpam-4864	250	10	silambarasan	silambarasan	NOUN
ejpam-4864	250	11	.	.	PUNCT
ejpam-4864	251	1	theory	theory	NOUN
ejpam-4864	251	2	of	of	ADP
ejpam-4864	251	3	natural	natural	ADJ
ejpam-4864	251	4	transform	transform	NOUN
ejpam-4864	251	5	.	.	PUNCT
ejpam-4864	252	1	mathematics	mathematic	NOUN
ejpam-4864	252	2	in	in	ADP
ejpam-4864	252	3	engineering	engineering	PROPN
ejpam-4864	252	4	,	,	PUNCT
ejpam-4864	252	5	science	science	PROPN
ejpam-4864	252	6	&	&	CCONJ
ejpam-4864	252	7	aerospace	aerospace	PROPN
ejpam-4864	252	8	(	(	PUNCT
ejpam-4864	252	9	mesa	mesa	PROPN
ejpam-4864	252	10	)	)	PUNCT
ejpam-4864	252	11	,	,	PUNCT
ejpam-4864	252	12	3(1	3(1	NUM
ejpam-4864	252	13	)	)	PUNCT
ejpam-4864	252	14	,	,	PUNCT
ejpam-4864	252	15	2012	2012	NUM
ejpam-4864	252	16	.	.	PUNCT
ejpam-4864	253	1	[	[	X
ejpam-4864	253	2	24	24	NUM
ejpam-4864	253	3	]	]	PUNCT
ejpam-4864	253	4	igor	igor	NOUN
ejpam-4864	253	5	podlubny	podlubny	PROPN
ejpam-4864	253	6	.	.	PUNCT
ejpam-4864	254	1	fractional	fractional	ADJ
ejpam-4864	254	2	differential	differential	ADJ
ejpam-4864	254	3	equations	equation	NOUN
ejpam-4864	254	4	,	,	PUNCT
ejpam-4864	254	5	mathematics	mathematic	NOUN
ejpam-4864	254	6	in	in	ADP
ejpam-4864	254	7	science	science	NOUN
ejpam-4864	254	8	and	and	CCONJ
ejpam-4864	254	9	engineering	engineering	NOUN
ejpam-4864	254	10	,	,	PUNCT
ejpam-4864	254	11	1999	1999	NUM
ejpam-4864	254	12	.	.	PUNCT
ejpam-4864	255	1	[	[	X
ejpam-4864	255	2	25	25	NUM
ejpam-4864	255	3	]	]	X
ejpam-4864	255	4	mahmoud	mahmoud	PROPN
ejpam-4864	255	5	s	s	PART
ejpam-4864	255	6	rawashdeh	rawashdeh	NOUN
ejpam-4864	255	7	and	and	CCONJ
ejpam-4864	255	8	hadeel	hadeel	PROPN
ejpam-4864	255	9	al	al	PROPN
ejpam-4864	255	10	-	-	PUNCT
ejpam-4864	255	11	jammal	jammal	NOUN
ejpam-4864	255	12	.	.	PUNCT
ejpam-4864	256	1	new	new	ADJ
ejpam-4864	256	2	approximate	approximate	ADJ
ejpam-4864	256	3	solutions	solution	NOUN
ejpam-4864	256	4	to	to	ADP
ejpam-4864	256	5	fractional	fractional	VERB
ejpam-4864	256	6	nonlinear	nonlinear	ADJ
ejpam-4864	256	7	systems	system	NOUN
ejpam-4864	256	8	of	of	ADP
ejpam-4864	256	9	partial	partial	ADJ
ejpam-4864	256	10	differential	differential	ADJ
ejpam-4864	256	11	equations	equation	NOUN
ejpam-4864	256	12	using	use	VERB
ejpam-4864	256	13	the	the	DET
ejpam-4864	256	14	fndm	fndm	NOUN
ejpam-4864	256	15	.	.	PUNCT
ejpam-4864	257	1	advances	advance	NOUN
ejpam-4864	257	2	in	in	ADP
ejpam-4864	257	3	difference	difference	NOUN
ejpam-4864	257	4	equations	equation	NOUN
ejpam-4864	257	5	,	,	PUNCT
ejpam-4864	257	6	2016(1):1–19	2016(1):1–19	NOUN
ejpam-4864	257	7	,	,	PUNCT
ejpam-4864	257	8	2016	2016	NUM
ejpam-4864	257	9	.	.	PUNCT
ejpam-4864	258	1	[	[	X
ejpam-4864	258	2	26	26	NUM
ejpam-4864	258	3	]	]	X
ejpam-4864	258	4	rasool	rasool	NOUN
ejpam-4864	258	5	shah	shah	NOUN
ejpam-4864	258	6	,	,	PUNCT
ejpam-4864	258	7	hassan	hassan	PROPN
ejpam-4864	258	8	khan	khan	PROPN
ejpam-4864	258	9	,	,	PUNCT
ejpam-4864	258	10	saima	saima	PROPN
ejpam-4864	258	11	mustafa	mustafa	PROPN
ejpam-4864	258	12	,	,	PUNCT
ejpam-4864	258	13	poom	poom	NOUN
ejpam-4864	258	14	kumam	kumam	NOUN
ejpam-4864	258	15	,	,	PUNCT
ejpam-4864	258	16	and	and	CCONJ
ejpam-4864	258	17	muhammad	muhammad	PROPN
ejpam-4864	258	18	arif	arif	PROPN
ejpam-4864	258	19	.	.	PUNCT
ejpam-4864	259	1	analytical	analytical	ADJ
ejpam-4864	259	2	solutions	solution	NOUN
ejpam-4864	259	3	of	of	ADP
ejpam-4864	259	4	fractional	fractional	ADJ
ejpam-4864	259	5	-	-	PUNCT
ejpam-4864	259	6	order	order	NOUN
ejpam-4864	259	7	diffusion	diffusion	NOUN
ejpam-4864	259	8	equations	equation	NOUN
ejpam-4864	259	9	by	by	ADP
ejpam-4864	259	10	natural	natural	ADJ
ejpam-4864	259	11	transform	transform	NOUN
ejpam-4864	259	12	decomposition	decomposition	NOUN
ejpam-4864	259	13	method	method	NOUN
ejpam-4864	259	14	.	.	PUNCT
ejpam-4864	260	1	entropy	entropy	PROPN
ejpam-4864	260	2	,	,	PUNCT
ejpam-4864	260	3	21(6):557	21(6):557	NUM
ejpam-4864	260	4	,	,	PUNCT
ejpam-4864	260	5	2019	2019	NUM
ejpam-4864	260	6	.	.	PUNCT
ejpam-4864	261	1	[	[	X
ejpam-4864	261	2	27	27	NUM
ejpam-4864	261	3	]	]	X
ejpam-4864	261	4	r	r	NOUN
ejpam-4864	261	5	silambarasn	silambarasn	NOUN
ejpam-4864	261	6	and	and	CCONJ
ejpam-4864	261	7	fbm	fbm	NOUN
ejpam-4864	261	8	belgacem	belgacem	NOUN
ejpam-4864	261	9	.	.	PUNCT
ejpam-4864	262	1	applications	application	NOUN
ejpam-4864	262	2	of	of	ADP
ejpam-4864	262	3	the	the	DET
ejpam-4864	262	4	natural	natural	ADJ
ejpam-4864	262	5	transform	transform	NOUN
ejpam-4864	262	6	to	to	ADP
ejpam-4864	262	7	maxwell	maxwell	PROPN
ejpam-4864	262	8	’s	’s	PART
ejpam-4864	262	9	equations	equation	NOUN
ejpam-4864	262	10	.	.	PUNCT
ejpam-4864	263	1	progress	progress	NOUN
ejpam-4864	263	2	in	in	ADP
ejpam-4864	263	3	electromagnetics	electromagnetic	NOUN
ejpam-4864	263	4	research	research	NOUN
ejpam-4864	263	5	,	,	PUNCT
ejpam-4864	263	6	899	899	NUM
ejpam-4864	263	7	,	,	PUNCT
ejpam-4864	263	8	2011	2011	NUM
ejpam-4864	263	9	.	.	PUNCT
ejpam-4864	264	1	[	[	X
ejpam-4864	264	2	28	28	NUM
ejpam-4864	264	3	]	]	X
ejpam-4864	264	4	jagdev	jagdev	PROPN
ejpam-4864	264	5	singh	singh	PROPN
ejpam-4864	264	6	,	,	PUNCT
ejpam-4864	264	7	devendra	devendra	PROPN
ejpam-4864	264	8	kumar	kumar	PROPN
ejpam-4864	264	9	,	,	PUNCT
ejpam-4864	264	10	zakia	zakia	NOUN
ejpam-4864	264	11	hammouch	hammouch	NOUN
ejpam-4864	264	12	,	,	PUNCT
ejpam-4864	264	13	and	and	CCONJ
ejpam-4864	264	14	abdon	abdon	PROPN
ejpam-4864	264	15	atangana	atangana	PROPN
ejpam-4864	264	16	.	.	PUNCT
ejpam-4864	265	1	a	a	DET
ejpam-4864	265	2	fractional	fractional	ADJ
ejpam-4864	265	3	epidemiological	epidemiological	ADJ
ejpam-4864	265	4	model	model	NOUN
ejpam-4864	265	5	for	for	ADP
ejpam-4864	265	6	computer	computer	NOUN
ejpam-4864	265	7	viruses	virus	NOUN
ejpam-4864	265	8	pertaining	pertain	VERB
ejpam-4864	265	9	to	to	ADP
ejpam-4864	265	10	a	a	DET
ejpam-4864	265	11	new	new	ADJ
ejpam-4864	265	12	fractional	fractional	ADJ
ejpam-4864	265	13	derivative	derivative	NOUN
ejpam-4864	265	14	.	.	PUNCT
ejpam-4864	266	1	applied	apply	VERB
ejpam-4864	266	2	mathematics	mathematic	NOUN
ejpam-4864	266	3	and	and	CCONJ
ejpam-4864	266	4	computation	computation	NOUN
ejpam-4864	266	5	,	,	PUNCT
ejpam-4864	266	6	316:504–515	316:504–515	NUM
ejpam-4864	266	7	,	,	PUNCT
ejpam-4864	266	8	2018	2018	NUM
ejpam-4864	266	9	.	.	PUNCT
ejpam-4864	267	1	references	reference	NOUN
ejpam-4864	267	2	2642	2642	NUM
ejpam-4864	267	3	[	[	X
ejpam-4864	267	4	29	29	NUM
ejpam-4864	267	5	]	]	X
ejpam-4864	267	6	mariam	mariam	PROPN
ejpam-4864	267	7	sultana	sultana	PROPN
ejpam-4864	267	8	,	,	PUNCT
ejpam-4864	267	9	uroosa	uroosa	PROPN
ejpam-4864	267	10	arshad	arshad	PROPN
ejpam-4864	267	11	,	,	PUNCT
ejpam-4864	267	12	ali	ali	PROPN
ejpam-4864	267	13	hasan	hasan	PROPN
ejpam-4864	267	14	ali	ali	PROPN
ejpam-4864	267	15	,	,	PUNCT
ejpam-4864	267	16	omar	omar	PROPN
ejpam-4864	267	17	bazighifan	bazighifan	PROPN
ejpam-4864	267	18	,	,	PUNCT
ejpam-4864	267	19	areej	areej	VERB
ejpam-4864	267	20	a	a	DET
ejpam-4864	267	21	almoneef	almoneef	NOUN
ejpam-4864	267	22	,	,	PUNCT
ejpam-4864	267	23	and	and	CCONJ
ejpam-4864	267	24	kamsing	kamse	VERB
ejpam-4864	267	25	nonlaopon	nonlaopon	ADV
ejpam-4864	267	26	.	.	PUNCT
ejpam-4864	268	1	new	new	ADJ
ejpam-4864	268	2	efficient	efficient	ADJ
ejpam-4864	268	3	computations	computation	NOUN
ejpam-4864	268	4	with	with	ADP
ejpam-4864	268	5	symmetrical	symmetrical	ADJ
ejpam-4864	268	6	and	and	CCONJ
ejpam-4864	268	7	dynamic	dynamic	ADJ
ejpam-4864	268	8	analysis	analysis	NOUN
ejpam-4864	268	9	for	for	ADP
ejpam-4864	268	10	solving	solve	VERB
ejpam-4864	268	11	higher	high	ADJ
ejpam-4864	268	12	-	-	PUNCT
ejpam-4864	268	13	order	order	NOUN
ejpam-4864	268	14	fractional	fractional	ADJ
ejpam-4864	268	15	partial	partial	ADJ
ejpam-4864	268	16	differential	differential	NOUN
ejpam-4864	268	17	equations	equation	NOUN
ejpam-4864	268	18	.	.	PUNCT
ejpam-4864	269	1	symmetry	symmetry	NOUN
ejpam-4864	269	2	,	,	PUNCT
ejpam-4864	269	3	14(8):1653	14(8):1653	NUM
ejpam-4864	269	4	,	,	PUNCT
ejpam-4864	269	5	2022	2022	NUM
ejpam-4864	269	6	.	.	PUNCT
ejpam-4864	270	1	[	[	X
ejpam-4864	270	2	30	30	NUM
ejpam-4864	270	3	]	]	X
ejpam-4864	270	4	rania	rania	PROPN
ejpam-4864	270	5	wannan	wannan	PROPN
ejpam-4864	270	6	,	,	PUNCT
ejpam-4864	270	7	muhammad	muhammad	PROPN
ejpam-4864	270	8	aslam	aslam	PROPN
ejpam-4864	270	9	,	,	PUNCT
ejpam-4864	270	10	muhammad	muhammad	PROPN
ejpam-4864	270	11	farman	farman	PROPN
ejpam-4864	270	12	,	,	PUNCT
ejpam-4864	270	13	ali	ali	PROPN
ejpam-4864	270	14	akgül	akgül	PROPN
ejpam-4864	270	15	,	,	PUNCT
ejpam-4864	270	16	farhina	farhina	PROPN
ejpam-4864	270	17	kouser	kouser	NOUN
ejpam-4864	270	18	,	,	PUNCT
ejpam-4864	270	19	and	and	CCONJ
ejpam-4864	270	20	jihad	jihad	PROPN
ejpam-4864	270	21	asad	asad	PROPN
ejpam-4864	270	22	.	.	PUNCT
ejpam-4864	271	1	fractional	fractional	ADJ
ejpam-4864	271	2	order	order	NOUN
ejpam-4864	271	3	techniques	technique	NOUN
ejpam-4864	271	4	for	for	ADP
ejpam-4864	271	5	stiff	stiff	ADJ
ejpam-4864	271	6	differential	differential	ADJ
ejpam-4864	271	7	equations	equation	NOUN
ejpam-4864	271	8	arising	arise	VERB
ejpam-4864	271	9	from	from	ADP
ejpam-4864	271	10	chemistry	chemistry	NOUN
ejpam-4864	271	11	kinetics	kinetic	NOUN
ejpam-4864	271	12	.	.	PUNCT
ejpam-4864	272	1	european	european	PROPN
ejpam-4864	272	2	journal	journal	PROPN
ejpam-4864	272	3	of	of	ADP
ejpam-4864	272	4	pure	pure	ADJ
ejpam-4864	272	5	and	and	CCONJ
ejpam-4864	272	6	applied	applied	ADJ
ejpam-4864	272	7	mathematics	mathematic	NOUN
ejpam-4864	272	8	,	,	PUNCT
ejpam-4864	272	9	15(3):1144	15(3):1144	NUM
ejpam-4864	272	10	–	–	PUNCT
ejpam-4864	272	11	1157	1157	NUM
ejpam-4864	272	12	,	,	PUNCT
ejpam-4864	272	13	2022	2022	NUM
ejpam-4864	272	14	.	.	PUNCT