id	sid	tid	token	lemma	pos
ejpam-5447	1	1	european	european	PROPN
ejpam-5447	1	2	journal	journal	PROPN
ejpam-5447	1	3	of	of	ADP
ejpam-5447	1	4	pure	pure	ADJ
ejpam-5447	1	5	and	and	CCONJ
ejpam-5447	1	6	applied	apply	VERB
ejpam-5447	1	7	mathematics	mathematic	NOUN
ejpam-5447	1	8	vol	vol	NOUN
ejpam-5447	1	9	.	.	PROPN
ejpam-5447	2	1	17	17	NUM
ejpam-5447	2	2	,	,	PUNCT
ejpam-5447	2	3	no	no	INTJ
ejpam-5447	2	4	.	.	NOUN
ejpam-5447	2	5	4	4	NUM
ejpam-5447	2	6	,	,	PUNCT
ejpam-5447	2	7	2024	2024	NUM
ejpam-5447	2	8	,	,	PUNCT
ejpam-5447	2	9	3167	3167	NUM
ejpam-5447	2	10	-	-	SYM
ejpam-5447	2	11	3184	3184	NUM
ejpam-5447	2	12	issn	issn	PROPN
ejpam-5447	2	13	1307	1307	NUM
ejpam-5447	2	14	-	-	SYM
ejpam-5447	2	15	5543	5543	NUM
ejpam-5447	2	16	–	–	PUNCT
ejpam-5447	2	17	ejpam.com	ejpam.com	X
ejpam-5447	2	18	published	publish	VERB
ejpam-5447	2	19	by	by	ADP
ejpam-5447	2	20	new	new	PROPN
ejpam-5447	2	21	york	york	PROPN
ejpam-5447	2	22	business	business	PROPN
ejpam-5447	2	23	global	global	ADJ
ejpam-5447	2	24	designing	design	VERB
ejpam-5447	2	25	an	an	DET
ejpam-5447	2	26	efficient	efficient	ADJ
ejpam-5447	2	27	numerical	numerical	ADJ
ejpam-5447	2	28	method	method	NOUN
ejpam-5447	2	29	for	for	ADP
ejpam-5447	2	30	solving	solve	VERB
ejpam-5447	2	31	the	the	DET
ejpam-5447	2	32	blood	blood	NOUN
ejpam-5447	2	33	ethanol	ethanol	NOUN
ejpam-5447	2	34	concentration	concentration	NOUN
ejpam-5447	2	35	system	system	NOUN
ejpam-5447	2	36	and	and	CCONJ
ejpam-5447	2	37	ebola	ebola	NOUN
ejpam-5447	2	38	virus	virus	NOUN
ejpam-5447	2	39	models	model	NOUN
ejpam-5447	2	40	mohamed	mohamed	PROPN
ejpam-5447	2	41	m.	m.	PROPN
ejpam-5447	2	42	khader1,2,∗	khader1,2,∗	PROPN
ejpam-5447	2	43	,	,	PUNCT
ejpam-5447	3	1	mohammed	mohammed	PROPN
ejpam-5447	3	2	m.	m.	PROPN
ejpam-5447	3	3	babatin1	babatin1	PROPN
ejpam-5447	3	4	1	1	NUM
ejpam-5447	3	5	department	department	NOUN
ejpam-5447	3	6	of	of	ADP
ejpam-5447	3	7	mathematics	mathematic	NOUN
ejpam-5447	3	8	and	and	CCONJ
ejpam-5447	3	9	statistics	statistic	NOUN
ejpam-5447	3	10	,	,	PUNCT
ejpam-5447	3	11	college	college	NOUN
ejpam-5447	3	12	of	of	ADP
ejpam-5447	3	13	science	science	NOUN
ejpam-5447	3	14	,	,	PUNCT
ejpam-5447	3	15	imam	imam	PROPN
ejpam-5447	3	16	mohammad	mohammad	PROPN
ejpam-5447	3	17	ibn	ibn	PROPN
ejpam-5447	3	18	saud	saud	PROPN
ejpam-5447	3	19	islamic	islamic	PROPN
ejpam-5447	3	20	university	university	PROPN
ejpam-5447	3	21	(	(	PUNCT
ejpam-5447	3	22	imsiu	imsiu	PROPN
ejpam-5447	3	23	)	)	PUNCT
ejpam-5447	3	24	,	,	PUNCT
ejpam-5447	3	25	riyadh	riyadh	PROPN
ejpam-5447	3	26	,	,	PUNCT
ejpam-5447	3	27	saudi	saudi	PROPN
ejpam-5447	3	28	arabia	arabia	PROPN
ejpam-5447	3	29	2	2	NUM
ejpam-5447	3	30	department	department	NOUN
ejpam-5447	3	31	of	of	ADP
ejpam-5447	3	32	mathematics	mathematic	NOUN
ejpam-5447	3	33	,	,	PUNCT
ejpam-5447	3	34	faculty	faculty	NOUN
ejpam-5447	3	35	of	of	ADP
ejpam-5447	3	36	science	science	NOUN
ejpam-5447	3	37	,	,	PUNCT
ejpam-5447	3	38	benha	benha	VERB
ejpam-5447	3	39	university	university	NOUN
ejpam-5447	3	40	,	,	PUNCT
ejpam-5447	3	41	benha	benha	NOUN
ejpam-5447	3	42	,	,	PUNCT
ejpam-5447	3	43	egypt	egypt	PROPN
ejpam-5447	3	44	abstract	abstract	PROPN
ejpam-5447	3	45	.	.	PUNCT
ejpam-5447	4	1	this	this	DET
ejpam-5447	4	2	study	study	NOUN
ejpam-5447	4	3	aims	aim	VERB
ejpam-5447	4	4	to	to	PART
ejpam-5447	4	5	provide	provide	VERB
ejpam-5447	4	6	a	a	DET
ejpam-5447	4	7	numerical	numerical	ADJ
ejpam-5447	4	8	simulation	simulation	NOUN
ejpam-5447	4	9	of	of	ADP
ejpam-5447	4	10	two	two	NUM
ejpam-5447	4	11	important	important	ADJ
ejpam-5447	4	12	models	model	NOUN
ejpam-5447	4	13	called	call	VERB
ejpam-5447	4	14	the	the	DET
ejpam-5447	4	15	blood	blood	NOUN
ejpam-5447	4	16	ethanol	ethanol	NOUN
ejpam-5447	4	17	concentration	concentration	NOUN
ejpam-5447	4	18	(	(	PUNCT
ejpam-5447	4	19	bec	bec	PROPN
ejpam-5447	4	20	)	)	PUNCT
ejpam-5447	4	21	model	model	NOUN
ejpam-5447	4	22	and	and	CCONJ
ejpam-5447	4	23	the	the	DET
ejpam-5447	4	24	ebola	ebola	PROPN
ejpam-5447	4	25	virus	virus	NOUN
ejpam-5447	4	26	model	model	NOUN
ejpam-5447	4	27	in	in	ADP
ejpam-5447	4	28	their	their	PRON
ejpam-5447	4	29	fractional	fractional	ADJ
ejpam-5447	4	30	form	form	NOUN
ejpam-5447	4	31	(	(	PUNCT
ejpam-5447	4	32	caputo	caputo	PROPN
ejpam-5447	4	33	-	-	PUNCT
ejpam-5447	4	34	fabrizio	fabrizio	PROPN
ejpam-5447	4	35	sense	sense	NOUN
ejpam-5447	4	36	(	(	PUNCT
ejpam-5447	4	37	cf	cf	NOUN
ejpam-5447	4	38	)	)	PUNCT
ejpam-5447	4	39	)	)	PUNCT
ejpam-5447	4	40	.	.	PUNCT
ejpam-5447	5	1	here	here	ADV
ejpam-5447	5	2	,	,	PUNCT
ejpam-5447	5	3	we	we	PRON
ejpam-5447	5	4	used	use	VERB
ejpam-5447	5	5	simpson	simpson	PROPN
ejpam-5447	5	6	’s	’s	PART
ejpam-5447	5	7	1/3	1/3	NUM
ejpam-5447	5	8	rule	rule	NOUN
ejpam-5447	5	9	as	as	ADP
ejpam-5447	5	10	an	an	DET
ejpam-5447	5	11	efficient	efficient	ADJ
ejpam-5447	5	12	numerical	numerical	ADJ
ejpam-5447	5	13	scheme	scheme	NOUN
ejpam-5447	5	14	for	for	ADP
ejpam-5447	5	15	integration	integration	NOUN
ejpam-5447	5	16	to	to	PART
ejpam-5447	5	17	solve	solve	VERB
ejpam-5447	5	18	the	the	DET
ejpam-5447	5	19	obtained	obtain	VERB
ejpam-5447	5	20	fractional	fractional	ADJ
ejpam-5447	5	21	integral	integral	ADJ
ejpam-5447	5	22	equations	equation	NOUN
ejpam-5447	5	23	(	(	PUNCT
ejpam-5447	5	24	fies	fie	NOUN
ejpam-5447	5	25	)	)	PUNCT
ejpam-5447	5	26	and	and	CCONJ
ejpam-5447	5	27	reduce	reduce	VERB
ejpam-5447	5	28	it	it	PRON
ejpam-5447	5	29	to	to	ADP
ejpam-5447	5	30	a	a	DET
ejpam-5447	5	31	collection	collection	NOUN
ejpam-5447	5	32	of	of	ADP
ejpam-5447	5	33	algebraic	algebraic	ADJ
ejpam-5447	5	34	equations	equation	NOUN
ejpam-5447	5	35	.	.	PUNCT
ejpam-5447	6	1	particular	particular	ADJ
ejpam-5447	6	2	emphasis	emphasis	NOUN
ejpam-5447	6	3	is	be	AUX
ejpam-5447	6	4	placed	place	VERB
ejpam-5447	6	5	on	on	ADP
ejpam-5447	6	6	elucidating	elucidate	VERB
ejpam-5447	6	7	the	the	DET
ejpam-5447	6	8	error	error	NOUN
ejpam-5447	6	9	analysis	analysis	NOUN
ejpam-5447	6	10	of	of	ADP
ejpam-5447	6	11	the	the	DET
ejpam-5447	6	12	given	give	VERB
ejpam-5447	6	13	scheme	scheme	NOUN
ejpam-5447	6	14	.	.	PUNCT
ejpam-5447	7	1	the	the	DET
ejpam-5447	7	2	results	result	NOUN
ejpam-5447	7	3	acquired	acquire	VERB
ejpam-5447	7	4	by	by	ADP
ejpam-5447	7	5	implementing	implement	VERB
ejpam-5447	7	6	the	the	DET
ejpam-5447	7	7	runge	runge	NOUN
ejpam-5447	7	8	-	-	PUNCT
ejpam-5447	7	9	kutta	kutta	NOUN
ejpam-5447	7	10	method	method	NOUN
ejpam-5447	7	11	(	(	PUNCT
ejpam-5447	7	12	rk4	rk4	NOUN
ejpam-5447	7	13	m	m	NOUN
ejpam-5447	7	14	)	)	PUNCT
ejpam-5447	7	15	and	and	CCONJ
ejpam-5447	7	16	others	other	NOUN
ejpam-5447	7	17	are	be	AUX
ejpam-5447	7	18	compared	compare	VERB
ejpam-5447	7	19	to	to	ADP
ejpam-5447	7	20	the	the	DET
ejpam-5447	7	21	achieved	achieve	VERB
ejpam-5447	7	22	results	result	NOUN
ejpam-5447	7	23	.	.	PUNCT
ejpam-5447	8	1	the	the	DET
ejpam-5447	8	2	results	result	NOUN
ejpam-5447	8	3	explain	explain	VERB
ejpam-5447	8	4	that	that	SCONJ
ejpam-5447	8	5	the	the	DET
ejpam-5447	8	6	implemented	implement	VERB
ejpam-5447	8	7	scheme	scheme	NOUN
ejpam-5447	8	8	offers	offer	VERB
ejpam-5447	8	9	a	a	DET
ejpam-5447	8	10	straightforward	straightforward	ADJ
ejpam-5447	8	11	and	and	CCONJ
ejpam-5447	8	12	effective	effective	ADJ
ejpam-5447	8	13	tool	tool	NOUN
ejpam-5447	8	14	for	for	ADP
ejpam-5447	8	15	simulating	simulate	VERB
ejpam-5447	8	16	solutions	solution	NOUN
ejpam-5447	8	17	of	of	ADP
ejpam-5447	8	18	these	these	DET
ejpam-5447	8	19	models	model	NOUN
ejpam-5447	8	20	.	.	PUNCT
ejpam-5447	9	1	the	the	DET
ejpam-5447	9	2	primary	primary	ADJ
ejpam-5447	9	3	benefit	benefit	NOUN
ejpam-5447	9	4	of	of	ADP
ejpam-5447	9	5	the	the	DET
ejpam-5447	9	6	implemented	implement	VERB
ejpam-5447	9	7	method	method	NOUN
ejpam-5447	9	8	is	be	AUX
ejpam-5447	9	9	that	that	SCONJ
ejpam-5447	9	10	it	it	PRON
ejpam-5447	9	11	relies	rely	VERB
ejpam-5447	9	12	on	on	ADP
ejpam-5447	9	13	a	a	DET
ejpam-5447	9	14	small	small	ADJ
ejpam-5447	9	15	number	number	NOUN
ejpam-5447	9	16	of	of	ADP
ejpam-5447	9	17	uncomplicated	uncomplicated	ADJ
ejpam-5447	9	18	steps	step	NOUN
ejpam-5447	9	19	and	and	CCONJ
ejpam-5447	9	20	does	do	AUX
ejpam-5447	9	21	not	not	PART
ejpam-5447	9	22	have	have	VERB
ejpam-5447	9	23	long	long	ADJ
ejpam-5447	9	24	-	-	PUNCT
ejpam-5447	9	25	term	term	NOUN
ejpam-5447	9	26	effects	effect	NOUN
ejpam-5447	9	27	.	.	PUNCT
ejpam-5447	10	1	finally	finally	ADV
ejpam-5447	10	2	,	,	PUNCT
ejpam-5447	10	3	numerical	numerical	ADJ
ejpam-5447	10	4	simulations	simulation	NOUN
ejpam-5447	10	5	support	support	VERB
ejpam-5447	10	6	the	the	DET
ejpam-5447	10	7	theoretical	theoretical	ADJ
ejpam-5447	10	8	conclusions	conclusion	NOUN
ejpam-5447	10	9	,	,	PUNCT
ejpam-5447	10	10	showing	show	VERB
ejpam-5447	10	11	the	the	DET
ejpam-5447	10	12	great	great	ADJ
ejpam-5447	10	13	agreement	agreement	NOUN
ejpam-5447	10	14	between	between	ADP
ejpam-5447	10	15	the	the	DET
ejpam-5447	10	16	two	two	NUM
ejpam-5447	10	17	.	.	PUNCT
ejpam-5447	11	1	2020	2020	NUM
ejpam-5447	11	2	mathematics	mathematic	NOUN
ejpam-5447	11	3	subject	subject	NOUN
ejpam-5447	11	4	classifications	classification	NOUN
ejpam-5447	11	5	:	:	PUNCT
ejpam-5447	11	6	34a12	34a12	NUM
ejpam-5447	11	7	,	,	PUNCT
ejpam-5447	11	8	41a30	41a30	NUM
ejpam-5447	11	9	,	,	PUNCT
ejpam-5447	11	10	26c10	26c10	NUM
ejpam-5447	11	11	,	,	PUNCT
ejpam-5447	11	12	47h10	47h10	NUM
ejpam-5447	11	13	,	,	PUNCT
ejpam-5447	11	14	65n20	65n20	NUM
ejpam-5447	11	15	key	key	ADJ
ejpam-5447	11	16	words	word	NOUN
ejpam-5447	11	17	and	and	CCONJ
ejpam-5447	11	18	phrases	phrase	NOUN
ejpam-5447	11	19	:	:	PUNCT
ejpam-5447	11	20	blood	blood	NOUN
ejpam-5447	11	21	ethanol	ethanol	NOUN
ejpam-5447	11	22	concentration	concentration	NOUN
ejpam-5447	11	23	system	system	NOUN
ejpam-5447	11	24	,	,	PUNCT
ejpam-5447	11	25	ebola	ebola	PROPN
ejpam-5447	11	26	virus	virus	NOUN
ejpam-5447	11	27	epidemic	epidemic	NOUN
ejpam-5447	11	28	model	model	NOUN
ejpam-5447	11	29	,	,	PUNCT
ejpam-5447	11	30	caputo	caputo	PROPN
ejpam-5447	11	31	-	-	PUNCT
ejpam-5447	11	32	fabrizio	fabrizio	PROPN
ejpam-5447	11	33	fractional	fractional	PROPN
ejpam-5447	11	34	derivative	derivative	ADJ
ejpam-5447	11	35	,	,	PUNCT
ejpam-5447	11	36	numerical	numerical	ADJ
ejpam-5447	11	37	integration	integration	NOUN
ejpam-5447	11	38	,	,	PUNCT
ejpam-5447	11	39	rk4	rk4	PROPN
ejpam-5447	11	40	m	m	VERB
ejpam-5447	11	41	1	1	NUM
ejpam-5447	11	42	.	.	PUNCT
ejpam-5447	12	1	introduction	introduction	NOUN
ejpam-5447	12	2	given	give	VERB
ejpam-5447	12	3	the	the	DET
ejpam-5447	12	4	importance	importance	NOUN
ejpam-5447	12	5	of	of	ADP
ejpam-5447	12	6	modeling	modeling	NOUN
ejpam-5447	12	7	and	and	CCONJ
ejpam-5447	12	8	analyzing	analyze	VERB
ejpam-5447	12	9	many	many	ADJ
ejpam-5447	12	10	problems	problem	NOUN
ejpam-5447	12	11	in	in	ADP
ejpam-5447	12	12	the	the	DET
ejpam-5447	12	13	mathematical	mathematical	ADJ
ejpam-5447	12	14	life	life	NOUN
ejpam-5447	12	15	sciences	science	NOUN
ejpam-5447	12	16	,	,	PUNCT
ejpam-5447	12	17	which	which	PRON
ejpam-5447	12	18	in	in	ADP
ejpam-5447	12	19	turn	turn	NOUN
ejpam-5447	12	20	provide	provide	VERB
ejpam-5447	12	21	many	many	ADJ
ejpam-5447	12	22	different	different	ADJ
ejpam-5447	12	23	data	datum	NOUN
ejpam-5447	12	24	concerning	concern	VERB
ejpam-5447	12	25	biological	biological	ADJ
ejpam-5447	12	26	phenomena	phenomenon	NOUN
ejpam-5447	12	27	such	such	ADJ
ejpam-5447	12	28	as	as	ADP
ejpam-5447	12	29	the	the	DET
ejpam-5447	12	30	bacterial	bacterial	ADJ
ejpam-5447	12	31	cell	cell	NOUN
ejpam-5447	12	32	and	and	CCONJ
ejpam-5447	12	33	its	its	PRON
ejpam-5447	12	34	allocation	allocation	NOUN
ejpam-5447	12	35	,	,	PUNCT
ejpam-5447	12	36	the	the	DET
ejpam-5447	12	37	nervous	nervous	ADJ
ejpam-5447	12	38	system	system	NOUN
ejpam-5447	12	39	,	,	PUNCT
ejpam-5447	12	40	viruses	virus	NOUN
ejpam-5447	12	41	(	(	PUNCT
ejpam-5447	12	42	such	such	ADJ
ejpam-5447	12	43	as	as	ADP
ejpam-5447	12	44	the	the	DET
ejpam-5447	12	45	ebola	ebola	PROPN
ejpam-5447	12	46	virus	virus	PROPN
ejpam-5447	12	47	)	)	PUNCT
ejpam-5447	12	48	,	,	PUNCT
ejpam-5447	12	49	etc	etc	X
ejpam-5447	12	50	.	.	X
ejpam-5447	13	1	(	(	PUNCT
ejpam-5447	13	2	[	[	X
ejpam-5447	13	3	4	4	NUM
ejpam-5447	13	4	]	]	PUNCT
ejpam-5447	13	5	,	,	PUNCT
ejpam-5447	13	6	[	[	X
ejpam-5447	13	7	22	22	NUM
ejpam-5447	13	8	]	]	PUNCT
ejpam-5447	13	9	)	)	PUNCT
ejpam-5447	13	10	,	,	PUNCT
ejpam-5447	13	11	we	we	PRON
ejpam-5447	13	12	found	find	VERB
ejpam-5447	13	13	that	that	SCONJ
ejpam-5447	13	14	many	many	ADJ
ejpam-5447	13	15	researchers	researcher	NOUN
ejpam-5447	13	16	have	have	AUX
ejpam-5447	13	17	recently	recently	ADV
ejpam-5447	13	18	focused	focus	VERB
ejpam-5447	13	19	on	on	ADP
ejpam-5447	13	20	this	this	DET
ejpam-5447	13	21	branch	branch	NOUN
ejpam-5447	13	22	of	of	ADP
ejpam-5447	13	23	science	science	NOUN
ejpam-5447	13	24	.	.	PUNCT
ejpam-5447	14	1	these	these	DET
ejpam-5447	14	2	mathematical	mathematical	ADJ
ejpam-5447	14	3	models	model	NOUN
ejpam-5447	14	4	of	of	ADP
ejpam-5447	14	5	numerous	numerous	ADJ
ejpam-5447	14	6	real	real	ADJ
ejpam-5447	14	7	-	-	PUNCT
ejpam-5447	14	8	world	world	NOUN
ejpam-5447	14	9	issues	issue	NOUN
ejpam-5447	14	10	are	be	AUX
ejpam-5447	14	11	derived	derive	VERB
ejpam-5447	14	12	and	and	CCONJ
ejpam-5447	14	13	formulated	formulate	VERB
ejpam-5447	14	14	depending	depend	VERB
ejpam-5447	14	15	on	on	ADP
ejpam-5447	14	16	the	the	DET
ejpam-5447	14	17	results	result	NOUN
ejpam-5447	14	18	of	of	ADP
ejpam-5447	14	19	many	many	ADJ
ejpam-5447	14	20	biological	biological	ADJ
ejpam-5447	14	21	experiments	experiment	NOUN
ejpam-5447	14	22	or	or	CCONJ
ejpam-5447	14	23	statistical	statistical	ADJ
ejpam-5447	14	24	analyzes	analyze	NOUN
ejpam-5447	14	25	.	.	PUNCT
ejpam-5447	15	1	these	these	DET
ejpam-5447	15	2	mathematical	mathematical	ADJ
ejpam-5447	15	3	models	model	NOUN
ejpam-5447	15	4	enable	enable	VERB
ejpam-5447	15	5	scientists	scientist	NOUN
ejpam-5447	15	6	to	to	PART
ejpam-5447	15	7	study	study	VERB
ejpam-5447	15	8	and	and	CCONJ
ejpam-5447	15	9	simulate	simulate	VERB
ejpam-5447	15	10	the	the	DET
ejpam-5447	15	11	behavior	behavior	NOUN
ejpam-5447	15	12	of	of	ADP
ejpam-5447	15	13	these	these	DET
ejpam-5447	15	14	∗corresponding	∗corresponde	VERB
ejpam-5447	15	15	author	author	NOUN
ejpam-5447	15	16	.	.	PUNCT
ejpam-5447	16	1	doi	doi	NOUN
ejpam-5447	16	2	:	:	PUNCT
ejpam-5447	16	3	https://doi.org/10.29020/nybg.ejpam.v17i4.5447	https://doi.org/10.29020/nybg.ejpam.v17i4.5447	NOUN
ejpam-5447	16	4	email	email	NOUN
ejpam-5447	16	5	addresses	address	NOUN
ejpam-5447	16	6	:	:	PUNCT
ejpam-5447	16	7	mmkhader@imamu.edu.sa	mmkhader@imamu.edu.sa	PROPN
ejpam-5447	16	8	(	(	PUNCT
ejpam-5447	16	9	m.	m.	NOUN
ejpam-5447	16	10	m.	m.	NOUN
ejpam-5447	16	11	khader	khader	PROPN
ejpam-5447	16	12	)	)	PUNCT
ejpam-5447	16	13	,	,	PUNCT
ejpam-5447	16	14	mmbabatin@imamu.edu.sa	mmbabatin@imamu.edu.sa	PROPN
ejpam-5447	16	15	(	(	PUNCT
ejpam-5447	16	16	m.	m.	NOUN
ejpam-5447	16	17	m.	m.	PROPN
ejpam-5447	16	18	babatin	babatin	PROPN
ejpam-5447	16	19	)	)	PUNCT
ejpam-5447	16	20	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5447	16	21	3167	3167	NUM
ejpam-5447	17	1	copyright	copyright	NOUN
ejpam-5447	17	2	:	:	PUNCT
ejpam-5447	17	3	©	©	PROPN
ejpam-5447	17	4	2024	2024	NUM
ejpam-5447	17	5	the	the	DET
ejpam-5447	17	6	author(s	author(s	NOUN
ejpam-5447	17	7	)	)	PUNCT
ejpam-5447	17	8	.	.	PUNCT
ejpam-5447	18	1	(	(	PUNCT
ejpam-5447	18	2	cc	cc	NOUN
ejpam-5447	18	3	by	by	ADP
ejpam-5447	18	4	-	-	PUNCT
ejpam-5447	18	5	nc	nc	PROPN
ejpam-5447	18	6	4.0	4.0	NUM
ejpam-5447	18	7	)	)	PUNCT
ejpam-5447	18	8	m.	m.	NOUN
ejpam-5447	18	9	m.	m.	NOUN
ejpam-5447	18	10	khader	khader	PROPN
ejpam-5447	18	11	,	,	PUNCT
ejpam-5447	18	12	m.	m.	NOUN
ejpam-5447	18	13	m.	m.	NOUN
ejpam-5447	18	14	babatin	babatin	PROPN
ejpam-5447	18	15	/	/	SYM
ejpam-5447	18	16	eur	eur	PROPN
ejpam-5447	18	17	.	.	PUNCT
ejpam-5447	19	1	j.	j.	PROPN
ejpam-5447	19	2	pure	pure	PROPN
ejpam-5447	19	3	appl	appl	PROPN
ejpam-5447	19	4	.	.	PROPN
ejpam-5447	19	5	math	math	PROPN
ejpam-5447	19	6	,	,	PUNCT
ejpam-5447	19	7	17	17	NUM
ejpam-5447	19	8	(	(	PUNCT
ejpam-5447	19	9	4	4	NUM
ejpam-5447	19	10	)	)	PUNCT
ejpam-5447	19	11	(	(	PUNCT
ejpam-5447	19	12	2024	2024	NUM
ejpam-5447	19	13	)	)	PUNCT
ejpam-5447	19	14	,	,	PUNCT
ejpam-5447	19	15	3167	3167	NUM
ejpam-5447	19	16	-	-	SYM
ejpam-5447	19	17	3184	3184	NUM
ejpam-5447	19	18	3168	3168	NUM
ejpam-5447	19	19	realistic	realistic	ADJ
ejpam-5447	19	20	models	model	NOUN
ejpam-5447	19	21	,	,	PUNCT
ejpam-5447	19	22	separate	separate	ADJ
ejpam-5447	19	23	from	from	ADP
ejpam-5447	19	24	modern	modern	ADJ
ejpam-5447	19	25	biological	biological	ADJ
ejpam-5447	19	26	experiments	experiment	NOUN
ejpam-5447	19	27	conducted	conduct	VERB
ejpam-5447	19	28	in	in	ADP
ejpam-5447	19	29	laboratories	laboratory	NOUN
ejpam-5447	19	30	,	,	PUNCT
ejpam-5447	19	31	which	which	PRON
ejpam-5447	19	32	may	may	AUX
ejpam-5447	19	33	pose	pose	VERB
ejpam-5447	19	34	risks	risk	NOUN
ejpam-5447	19	35	or	or	CCONJ
ejpam-5447	19	36	be	be	AUX
ejpam-5447	19	37	very	very	ADV
ejpam-5447	19	38	costly	costly	ADJ
ejpam-5447	19	39	(	(	PUNCT
ejpam-5447	19	40	[	[	X
ejpam-5447	19	41	5	5	NUM
ejpam-5447	19	42	]	]	PUNCT
ejpam-5447	19	43	,	,	PUNCT
ejpam-5447	19	44	[	[	X
ejpam-5447	19	45	23	23	NUM
ejpam-5447	19	46	]	]	SYM
ejpam-5447	19	47	)	)	PUNCT
ejpam-5447	19	48	.	.	PUNCT
ejpam-5447	20	1	ebola	ebola	PROPN
ejpam-5447	20	2	virus	virus	NOUN
ejpam-5447	20	3	disease	disease	NOUN
ejpam-5447	20	4	(	(	PUNCT
ejpam-5447	20	5	evd	evd	NOUN
ejpam-5447	20	6	)	)	PUNCT
ejpam-5447	20	7	was	be	AUX
ejpam-5447	20	8	first	first	ADV
ejpam-5447	20	9	revealed	reveal	VERB
ejpam-5447	20	10	in	in	ADP
ejpam-5447	20	11	1976	1976	NUM
ejpam-5447	20	12	in	in	ADP
ejpam-5447	20	13	the	the	DET
ejpam-5447	20	14	congo	congo	NOUN
ejpam-5447	20	15	near	near	ADP
ejpam-5447	20	16	the	the	DET
ejpam-5447	20	17	ebola	ebola	PROPN
ejpam-5447	20	18	river	river	NOUN
ejpam-5447	20	19	.	.	PUNCT
ejpam-5447	21	1	although	although	SCONJ
ejpam-5447	21	2	this	this	DET
ejpam-5447	21	3	disease	disease	NOUN
ejpam-5447	21	4	is	be	AUX
ejpam-5447	21	5	rare	rare	ADJ
ejpam-5447	21	6	,	,	PUNCT
ejpam-5447	21	7	it	it	PRON
ejpam-5447	21	8	often	often	ADV
ejpam-5447	21	9	causes	cause	VERB
ejpam-5447	21	10	death	death	NOUN
ejpam-5447	22	1	[	[	X
ejpam-5447	22	2	22	22	NUM
ejpam-5447	22	3	]	]	PUNCT
ejpam-5447	22	4	.	.	PUNCT
ejpam-5447	23	1	the	the	DET
ejpam-5447	23	2	evd	evd	PROPN
ejpam-5447	23	3	infects	infect	VERB
ejpam-5447	23	4	monkeys	monkey	NOUN
ejpam-5447	23	5	and	and	CCONJ
ejpam-5447	23	6	humans	human	NOUN
ejpam-5447	23	7	on	on	ADP
ejpam-5447	23	8	and	and	CCONJ
ejpam-5447	23	9	off	off	ADV
ejpam-5447	23	10	,	,	PUNCT
ejpam-5447	23	11	and	and	CCONJ
ejpam-5447	23	12	it	it	PRON
ejpam-5447	23	13	also	also	ADV
ejpam-5447	23	14	leads	lead	VERB
ejpam-5447	23	15	to	to	ADP
ejpam-5447	23	16	outbreaks	outbreak	NOUN
ejpam-5447	23	17	in	in	ADP
ejpam-5447	23	18	some	some	DET
ejpam-5447	23	19	other	other	ADJ
ejpam-5447	23	20	african	african	ADJ
ejpam-5447	23	21	countries	country	NOUN
ejpam-5447	23	22	.	.	PUNCT
ejpam-5447	24	1	however	however	ADV
ejpam-5447	24	2	for	for	ADP
ejpam-5447	24	3	some	some	DET
ejpam-5447	24	4	time	time	NOUN
ejpam-5447	24	5	,	,	PUNCT
ejpam-5447	24	6	it	it	PRON
ejpam-5447	24	7	has	have	AUX
ejpam-5447	24	8	been	be	AUX
ejpam-5447	24	9	complicated	complicate	VERB
ejpam-5447	24	10	for	for	SCONJ
ejpam-5447	24	11	numerous	numerous	ADJ
ejpam-5447	24	12	biologists	biologist	NOUN
ejpam-5447	24	13	to	to	PART
ejpam-5447	24	14	locate	locate	VERB
ejpam-5447	24	15	the	the	DET
ejpam-5447	24	16	original	original	ADJ
ejpam-5447	24	17	origin	origin	NOUN
ejpam-5447	24	18	of	of	ADP
ejpam-5447	24	19	the	the	DET
ejpam-5447	24	20	virus	virus	NOUN
ejpam-5447	24	21	;	;	PUNCT
ejpam-5447	24	22	but	but	CCONJ
ejpam-5447	24	23	,	,	PUNCT
ejpam-5447	24	24	through	through	ADP
ejpam-5447	24	25	recent	recent	ADJ
ejpam-5447	24	26	studies	study	NOUN
ejpam-5447	24	27	and	and	CCONJ
ejpam-5447	24	28	experiments	experiment	NOUN
ejpam-5447	24	29	,	,	PUNCT
ejpam-5447	24	30	it	it	PRON
ejpam-5447	24	31	has	have	AUX
ejpam-5447	24	32	been	be	AUX
ejpam-5447	24	33	set	set	VERB
ejpam-5447	24	34	up	up	ADP
ejpam-5447	24	35	that	that	SCONJ
ejpam-5447	24	36	it	it	PRON
ejpam-5447	24	37	is	be	AUX
ejpam-5447	24	38	foremost	foremost	ADV
ejpam-5447	24	39	transmitted	transmit	VERB
ejpam-5447	24	40	from	from	ADP
ejpam-5447	24	41	animals	animal	NOUN
ejpam-5447	24	42	such	such	ADJ
ejpam-5447	24	43	as	as	ADP
ejpam-5447	24	44	bats	bat	NOUN
ejpam-5447	24	45	meaning	mean	VERB
ejpam-5447	24	46	that	that	SCONJ
ejpam-5447	24	47	they	they	PRON
ejpam-5447	24	48	are	be	AUX
ejpam-5447	24	49	the	the	DET
ejpam-5447	24	50	origin	origin	NOUN
ejpam-5447	24	51	of	of	ADP
ejpam-5447	24	52	the	the	DET
ejpam-5447	24	53	evd	evd	NOUN
ejpam-5447	25	1	[	[	X
ejpam-5447	25	2	16	16	NUM
ejpam-5447	25	3	]	]	PUNCT
ejpam-5447	25	4	.	.	PUNCT
ejpam-5447	26	1	in	in	ADP
ejpam-5447	26	2	general	general	ADJ
ejpam-5447	26	3	,	,	PUNCT
ejpam-5447	26	4	this	this	DET
ejpam-5447	26	5	virus	virus	NOUN
ejpam-5447	26	6	can	can	AUX
ejpam-5447	26	7	infect	infect	VERB
ejpam-5447	26	8	humans	human	NOUN
ejpam-5447	26	9	during	during	ADP
ejpam-5447	26	10	immediate	immediate	ADJ
ejpam-5447	26	11	connection	connection	NOUN
ejpam-5447	26	12	with	with	ADP
ejpam-5447	26	13	humans	human	NOUN
ejpam-5447	26	14	,	,	PUNCT
ejpam-5447	26	15	the	the	DET
ejpam-5447	26	16	blood	blood	NOUN
ejpam-5447	26	17	or	or	CCONJ
ejpam-5447	26	18	body	body	NOUN
ejpam-5447	26	19	fluids	fluid	NOUN
ejpam-5447	26	20	of	of	ADP
ejpam-5447	26	21	a	a	DET
ejpam-5447	26	22	sick	sick	ADJ
ejpam-5447	26	23	or	or	CCONJ
ejpam-5447	26	24	deceased	deceased	ADJ
ejpam-5447	26	25	person	person	NOUN
ejpam-5447	26	26	,	,	PUNCT
ejpam-5447	26	27	or	or	CCONJ
ejpam-5447	26	28	animal	animal	NOUN
ejpam-5447	26	29	tissues	tissue	NOUN
ejpam-5447	26	30	[	[	X
ejpam-5447	26	31	18	18	NUM
ejpam-5447	26	32	]	]	PUNCT
ejpam-5447	26	33	.	.	PUNCT
ejpam-5447	27	1	recent	recent	ADJ
ejpam-5447	27	2	studies	study	NOUN
ejpam-5447	27	3	have	have	AUX
ejpam-5447	27	4	confirmed	confirm	VERB
ejpam-5447	27	5	that	that	SCONJ
ejpam-5447	27	6	evd	evd	NOUN
ejpam-5447	27	7	can	can	AUX
ejpam-5447	27	8	pass	pass	VERB
ejpam-5447	27	9	during	during	ADP
ejpam-5447	27	10	broken	broken	ADJ
ejpam-5447	27	11	skin	skin	NOUN
ejpam-5447	27	12	or	or	CCONJ
ejpam-5447	27	13	mucous	mucous	ADJ
ejpam-5447	27	14	membranes	membrane	NOUN
ejpam-5447	27	15	in	in	ADP
ejpam-5447	27	16	the	the	DET
ejpam-5447	27	17	eyes	eye	NOUN
ejpam-5447	27	18	,	,	PUNCT
ejpam-5447	27	19	nose	nose	NOUN
ejpam-5447	27	20	,	,	PUNCT
ejpam-5447	27	21	and	and	CCONJ
ejpam-5447	27	22	mouth	mouth	NOUN
ejpam-5447	27	23	when	when	SCONJ
ejpam-5447	27	24	a	a	DET
ejpam-5447	27	25	person	person	NOUN
ejpam-5447	27	26	comes	come	VERB
ejpam-5447	27	27	into	into	ADP
ejpam-5447	27	28	connect	connect	NOUN
ejpam-5447	27	29	with	with	ADP
ejpam-5447	27	30	the	the	DET
ejpam-5447	27	31	body	body	NOUN
ejpam-5447	27	32	fluids	fluid	NOUN
ejpam-5447	27	33	of	of	ADP
ejpam-5447	27	34	an	an	DET
ejpam-5447	27	35	infected	infected	ADJ
ejpam-5447	27	36	person	person	NOUN
ejpam-5447	27	37	.	.	PUNCT
ejpam-5447	28	1	it	it	PRON
ejpam-5447	28	2	can	can	AUX
ejpam-5447	28	3	also	also	ADV
ejpam-5447	28	4	be	be	AUX
ejpam-5447	28	5	moved	move	VERB
ejpam-5447	28	6	during	during	ADP
ejpam-5447	28	7	sexual	sexual	ADJ
ejpam-5447	28	8	contact	contact	NOUN
ejpam-5447	28	9	with	with	ADP
ejpam-5447	28	10	a	a	DET
ejpam-5447	28	11	person	person	NOUN
ejpam-5447	28	12	infected	infect	VERB
ejpam-5447	28	13	with	with	ADP
ejpam-5447	28	14	the	the	DET
ejpam-5447	28	15	virus	virus	NOUN
ejpam-5447	28	16	or	or	CCONJ
ejpam-5447	28	17	who	who	PRON
ejpam-5447	28	18	has	have	AUX
ejpam-5447	28	19	recovered	recover	VERB
ejpam-5447	28	20	from	from	ADP
ejpam-5447	28	21	it	it	PRON
ejpam-5447	29	1	[	[	X
ejpam-5447	29	2	7	7	NUM
ejpam-5447	29	3	]	]	PUNCT
ejpam-5447	29	4	.	.	PUNCT
ejpam-5447	30	1	scientists	scientist	NOUN
ejpam-5447	30	2	are	be	AUX
ejpam-5447	30	3	currently	currently	ADV
ejpam-5447	30	4	studying	study	VERB
ejpam-5447	30	5	more	more	ADV
ejpam-5447	30	6	effective	effective	ADJ
ejpam-5447	30	7	fractional	fractional	ADJ
ejpam-5447	30	8	operators	operator	NOUN
ejpam-5447	30	9	.	.	PUNCT
ejpam-5447	31	1	in	in	ADP
ejpam-5447	31	2	order	order	NOUN
ejpam-5447	31	3	to	to	PART
ejpam-5447	31	4	address	address	VERB
ejpam-5447	31	5	the	the	DET
ejpam-5447	31	6	issue	issue	NOUN
ejpam-5447	31	7	of	of	ADP
ejpam-5447	31	8	singularity	singularity	NOUN
ejpam-5447	31	9	and	and	CCONJ
ejpam-5447	31	10	achieve	achieve	VERB
ejpam-5447	31	11	accurate	accurate	ADJ
ejpam-5447	31	12	and	and	CCONJ
ejpam-5447	31	13	reliable	reliable	ADJ
ejpam-5447	31	14	modeling	modeling	NOUN
ejpam-5447	31	15	outcomes	outcome	NOUN
ejpam-5447	31	16	,	,	PUNCT
ejpam-5447	31	17	a	a	DET
ejpam-5447	31	18	more	more	ADV
ejpam-5447	31	19	effective	effective	ADJ
ejpam-5447	31	20	cf	cf	NOUN
ejpam-5447	31	21	fractional	fractional	ADJ
ejpam-5447	31	22	derivative	derivative	NOUN
ejpam-5447	31	23	has	have	AUX
ejpam-5447	31	24	been	be	AUX
ejpam-5447	31	25	developed	develop	VERB
ejpam-5447	31	26	.	.	PUNCT
ejpam-5447	32	1	this	this	DET
ejpam-5447	32	2	derivative	derivative	NOUN
ejpam-5447	32	3	incorporates	incorporate	VERB
ejpam-5447	32	4	a	a	DET
ejpam-5447	32	5	nonsingular	nonsingular	ADJ
ejpam-5447	32	6	kernel	kernel	NOUN
ejpam-5447	32	7	,	,	PUNCT
ejpam-5447	32	8	as	as	SCONJ
ejpam-5447	32	9	proposed	propose	VERB
ejpam-5447	32	10	by	by	ADP
ejpam-5447	32	11	caputo	caputo	PROPN
ejpam-5447	32	12	and	and	CCONJ
ejpam-5447	32	13	fabrizio	fabrizio	PROPN
ejpam-5447	32	14	,	,	PUNCT
ejpam-5447	32	15	leading	lead	VERB
ejpam-5447	32	16	to	to	ADP
ejpam-5447	32	17	improved	improved	ADJ
ejpam-5447	32	18	efficiency	efficiency	NOUN
ejpam-5447	32	19	and	and	CCONJ
ejpam-5447	32	20	robustness	robustness	NOUN
ejpam-5447	32	21	in	in	ADP
ejpam-5447	32	22	recent	recent	ADJ
ejpam-5447	32	23	years	year	NOUN
ejpam-5447	32	24	.	.	PUNCT
ejpam-5447	33	1	the	the	DET
ejpam-5447	33	2	use	use	NOUN
ejpam-5447	33	3	of	of	ADP
ejpam-5447	33	4	laplace	laplace	NOUN
ejpam-5447	33	5	transformation	transformation	NOUN
ejpam-5447	33	6	to	to	PART
ejpam-5447	33	7	convert	convert	VERB
ejpam-5447	33	8	it	it	PRON
ejpam-5447	33	9	to	to	ADP
ejpam-5447	33	10	integer	integer	NOUN
ejpam-5447	33	11	power	power	NOUN
ejpam-5447	33	12	is	be	AUX
ejpam-5447	33	13	regarded	regard	VERB
ejpam-5447	33	14	as	as	ADP
ejpam-5447	33	15	a	a	DET
ejpam-5447	33	16	constructive	constructive	ADJ
ejpam-5447	33	17	method	method	NOUN
ejpam-5447	33	18	.	.	PUNCT
ejpam-5447	34	1	time	time	NOUN
ejpam-5447	34	2	-	-	PUNCT
ejpam-5447	34	3	fractional	fractional	ADJ
ejpam-5447	34	4	caputo	caputo	PROPN
ejpam-5447	34	5	-	-	PUNCT
ejpam-5447	34	6	fabrizio	fabrizio	PROPN
ejpam-5447	34	7	fractal	fractal	ADJ
ejpam-5447	34	8	fractional	fractional	ADJ
ejpam-5447	34	9	derivatives	derivative	NOUN
ejpam-5447	34	10	(	(	PUNCT
ejpam-5447	34	11	with	with	ADP
ejpam-5447	34	12	an	an	DET
ejpam-5447	34	13	exponential	exponential	ADJ
ejpam-5447	34	14	decay	decay	NOUN
ejpam-5447	34	15	kernel	kernel	NOUN
ejpam-5447	34	16	)	)	PUNCT
ejpam-5447	34	17	are	be	AUX
ejpam-5447	34	18	applied	apply	VERB
ejpam-5447	34	19	to	to	ADP
ejpam-5447	34	20	the	the	DET
ejpam-5447	34	21	burke	burke	PROPN
ejpam-5447	34	22	-	-	PUNCT
ejpam-5447	34	23	shaw	shaw	NOUN
ejpam-5447	34	24	-	-	PUNCT
ejpam-5447	34	25	type	type	NOUN
ejpam-5447	34	26	nonlinear	nonlinear	ADJ
ejpam-5447	34	27	chaotic	chaotic	ADJ
ejpam-5447	34	28	systems	system	NOUN
ejpam-5447	34	29	.	.	PUNCT
ejpam-5447	35	1	based	base	VERB
ejpam-5447	35	2	on	on	ADP
ejpam-5447	35	3	fixed	fix	VERB
ejpam-5447	35	4	point	point	NOUN
ejpam-5447	35	5	theory	theory	NOUN
ejpam-5447	35	6	,	,	PUNCT
ejpam-5447	35	7	it	it	PRON
ejpam-5447	35	8	has	have	AUX
ejpam-5447	35	9	been	be	AUX
ejpam-5447	35	10	demonstrated	demonstrate	VERB
ejpam-5447	35	11	that	that	SCONJ
ejpam-5447	35	12	such	such	DET
ejpam-5447	35	13	an	an	DET
ejpam-5447	35	14	operator	operator	NOUN
ejpam-5447	35	15	exists	exist	VERB
ejpam-5447	35	16	and	and	CCONJ
ejpam-5447	35	17	is	be	AUX
ejpam-5447	35	18	unique	unique	ADJ
ejpam-5447	35	19	[	[	X
ejpam-5447	35	20	24	24	NUM
ejpam-5447	35	21	]	]	PUNCT
ejpam-5447	35	22	.	.	PUNCT
ejpam-5447	36	1	the	the	DET
ejpam-5447	36	2	author	author	NOUN
ejpam-5447	36	3	solved	solve	VERB
ejpam-5447	36	4	this	this	DET
ejpam-5447	36	5	model	model	NOUN
ejpam-5447	36	6	by	by	ADP
ejpam-5447	36	7	using	use	VERB
ejpam-5447	36	8	a	a	DET
ejpam-5447	36	9	numerical	numerical	ADJ
ejpam-5447	36	10	power	power	NOUN
ejpam-5447	36	11	series	series	PROPN
ejpam-5447	36	12	method	method	PROPN
ejpam-5447	36	13	with	with	ADP
ejpam-5447	36	14	newton	newton	PROPN
ejpam-5447	36	15	’s	’s	PART
ejpam-5447	36	16	interpolation	interpolation	NOUN
ejpam-5447	36	17	polynomials	polynomial	NOUN
ejpam-5447	36	18	.	.	PUNCT
ejpam-5447	37	1	in	in	ADP
ejpam-5447	37	2	the	the	DET
ejpam-5447	37	3	paper	paper	NOUN
ejpam-5447	37	4	[	[	X
ejpam-5447	37	5	3	3	NUM
ejpam-5447	37	6	]	]	PUNCT
ejpam-5447	37	7	,	,	PUNCT
ejpam-5447	37	8	the	the	DET
ejpam-5447	37	9	authors	author	NOUN
ejpam-5447	37	10	proposed	propose	VERB
ejpam-5447	37	11	some	some	DET
ejpam-5447	37	12	updated	update	VERB
ejpam-5447	37	13	and	and	CCONJ
ejpam-5447	37	14	improved	improve	VERB
ejpam-5447	37	15	numerical	numerical	ADJ
ejpam-5447	37	16	schemes	scheme	NOUN
ejpam-5447	37	17	based	base	VERB
ejpam-5447	37	18	on	on	ADP
ejpam-5447	37	19	newton	newton	PROPN
ejpam-5447	37	20	’s	’s	PART
ejpam-5447	37	21	interpolation	interpolation	NOUN
ejpam-5447	37	22	polynomial	polynomial	ADJ
ejpam-5447	37	23	to	to	PART
ejpam-5447	37	24	solve	solve	VERB
ejpam-5447	37	25	numerically	numerically	ADV
ejpam-5447	37	26	the	the	DET
ejpam-5447	37	27	burke	burke	PROPN
ejpam-5447	37	28	-	-	PUNCT
ejpam-5447	37	29	shaw	shaw	PROPN
ejpam-5447	37	30	system	system	NOUN
ejpam-5447	37	31	of	of	ADP
ejpam-5447	37	32	caputo	caputo	PROPN
ejpam-5447	37	33	’s	’s	PART
ejpam-5447	37	34	time	time	NOUN
ejpam-5447	37	35	-	-	PUNCT
ejpam-5447	37	36	fractal	fractal	ADJ
ejpam-5447	37	37	fractional	fractional	ADJ
ejpam-5447	37	38	derivative	derivative	NOUN
ejpam-5447	37	39	with	with	ADP
ejpam-5447	37	40	a	a	DET
ejpam-5447	37	41	power	power	NOUN
ejpam-5447	37	42	-	-	PUNCT
ejpam-5447	37	43	law	law	NOUN
ejpam-5447	37	44	kernel	kernel	NOUN
ejpam-5447	37	45	with	with	ADP
ejpam-5447	37	46	variable	variable	ADJ
ejpam-5447	37	47	order	order	NOUN
ejpam-5447	37	48	.	.	PUNCT
ejpam-5447	38	1	additionally	additionally	ADV
ejpam-5447	38	2	,	,	PUNCT
ejpam-5447	38	3	they	they	PRON
ejpam-5447	38	4	calculated	calculate	VERB
ejpam-5447	38	5	the	the	DET
ejpam-5447	38	6	lyapunov	lyapunov	ADJ
ejpam-5447	38	7	exponent	exponent	NOUN
ejpam-5447	38	8	of	of	ADP
ejpam-5447	38	9	the	the	DET
ejpam-5447	38	10	proposed	propose	VERB
ejpam-5447	38	11	system	system	NOUN
ejpam-5447	38	12	.	.	PUNCT
ejpam-5447	39	1	furthermore	furthermore	ADV
ejpam-5447	39	2	,	,	PUNCT
ejpam-5447	39	3	the	the	DET
ejpam-5447	39	4	atangana	atangana	PROPN
ejpam-5447	39	5	-	-	PUNCT
ejpam-5447	39	6	seda	seda	PROPN
ejpam-5447	39	7	numerical	numerical	PROPN
ejpam-5447	39	8	scheme	scheme	PROPN
ejpam-5447	39	9	,	,	PUNCT
ejpam-5447	39	10	based	base	VERB
ejpam-5447	39	11	on	on	ADP
ejpam-5447	39	12	newton	newton	PROPN
ejpam-5447	39	13	polynomials	polynomial	NOUN
ejpam-5447	39	14	,	,	PUNCT
ejpam-5447	39	15	has	have	AUX
ejpam-5447	39	16	been	be	AUX
ejpam-5447	39	17	used	use	VERB
ejpam-5447	39	18	to	to	PART
ejpam-5447	39	19	solve	solve	VERB
ejpam-5447	39	20	this	this	DET
ejpam-5447	39	21	problem	problem	NOUN
ejpam-5447	39	22	.	.	PUNCT
ejpam-5447	40	1	the	the	DET
ejpam-5447	40	2	authors	author	NOUN
ejpam-5447	40	3	proposed	propose	VERB
ejpam-5447	40	4	a	a	DET
ejpam-5447	40	5	generalized	generalized	ADJ
ejpam-5447	40	6	numerical	numerical	ADJ
ejpam-5447	40	7	scheme	scheme	NOUN
ejpam-5447	40	8	by	by	ADP
ejpam-5447	40	9	using	use	VERB
ejpam-5447	40	10	the	the	DET
ejpam-5447	40	11	lagrange	lagrange	ADJ
ejpam-5447	40	12	polynomial	polynomial	ADJ
ejpam-5447	40	13	interpolation	interpolation	NOUN
ejpam-5447	40	14	to	to	PART
ejpam-5447	40	15	simulate	simulate	VERB
ejpam-5447	40	16	variable	variable	ADJ
ejpam-5447	40	17	-	-	PUNCT
ejpam-5447	40	18	order	order	NOUN
ejpam-5447	40	19	fractional	fractional	ADJ
ejpam-5447	40	20	differential	differential	NOUN
ejpam-5447	40	21	operators	operator	NOUN
ejpam-5447	40	22	.	.	PUNCT
ejpam-5447	41	1	two	two	NUM
ejpam-5447	41	2	methods	method	NOUN
ejpam-5447	41	3	,	,	PUNCT
ejpam-5447	41	4	atangana	atangana	PROPN
ejpam-5447	41	5	-	-	PUNCT
ejpam-5447	41	6	baleanu	baleanu	PROPN
ejpam-5447	41	7	-	-	PUNCT
ejpam-5447	41	8	caputo	caputo	PROPN
ejpam-5447	41	9	and	and	CCONJ
ejpam-5447	41	10	atangana	atangana	PROPN
ejpam-5447	41	11	-	-	PUNCT
ejpam-5447	41	12	seda	seda	NOUN
ejpam-5447	41	13	derivatives	derivative	NOUN
ejpam-5447	41	14	,	,	PUNCT
ejpam-5447	41	15	were	be	AUX
ejpam-5447	41	16	used	use	VERB
ejpam-5447	41	17	to	to	PART
ejpam-5447	41	18	solve	solve	VERB
ejpam-5447	41	19	a	a	DET
ejpam-5447	41	20	chaotic	chaotic	ADJ
ejpam-5447	41	21	newton	newton	NOUN
ejpam-5447	41	22	-	-	PUNCT
ejpam-5447	41	23	leipnik	leipnik	PROPN
ejpam-5447	41	24	system	system	NOUN
ejpam-5447	41	25	problem	problem	NOUN
ejpam-5447	41	26	.	.	PUNCT
ejpam-5447	42	1	the	the	DET
ejpam-5447	42	2	fractional	fractional	ADJ
ejpam-5447	42	3	-	-	PUNCT
ejpam-5447	42	4	order	order	NOUN
ejpam-5447	42	5	epidemic	epidemic	NOUN
ejpam-5447	42	6	model	model	NOUN
ejpam-5447	42	7	of	of	ADP
ejpam-5447	42	8	the	the	DET
ejpam-5447	42	9	hepatitis	hepatitis	PROPN
ejpam-5447	42	10	c	c	PROPN
ejpam-5447	42	11	virus	virus	NOUN
ejpam-5447	42	12	(	(	PUNCT
ejpam-5447	42	13	hcv	hcv	PROPN
ejpam-5447	42	14	)	)	PUNCT
ejpam-5447	42	15	involving	involve	VERB
ejpam-5447	42	16	partial	partial	ADJ
ejpam-5447	42	17	immunity	immunity	NOUN
ejpam-5447	42	18	under	under	ADP
ejpam-5447	42	19	the	the	DET
ejpam-5447	42	20	influence	influence	NOUN
ejpam-5447	42	21	of	of	ADP
ejpam-5447	42	22	memory	memory	NOUN
ejpam-5447	42	23	effect	effect	NOUN
ejpam-5447	42	24	to	to	PART
ejpam-5447	42	25	know	know	VERB
ejpam-5447	42	26	the	the	DET
ejpam-5447	42	27	transmission	transmission	NOUN
ejpam-5447	42	28	patterns	pattern	NOUN
ejpam-5447	42	29	and	and	CCONJ
ejpam-5447	42	30	prevalence	prevalence	NOUN
ejpam-5447	42	31	of	of	ADP
ejpam-5447	42	32	hcv	hcv	NOUN
ejpam-5447	42	33	infection	infection	NOUN
ejpam-5447	42	34	is	be	AUX
ejpam-5447	42	35	studied	study	VERB
ejpam-5447	42	36	in	in	ADP
ejpam-5447	42	37	[	[	X
ejpam-5447	42	38	17	17	NUM
ejpam-5447	42	39	]	]	PUNCT
ejpam-5447	42	40	.	.	PUNCT
ejpam-5447	43	1	the	the	DET
ejpam-5447	43	2	authors	author	NOUN
ejpam-5447	43	3	calculated	calculate	VERB
ejpam-5447	43	4	the	the	DET
ejpam-5447	43	5	basic	basic	ADJ
ejpam-5447	43	6	reproduction	reproduction	NOUN
ejpam-5447	43	7	number	number	NOUN
ejpam-5447	43	8	for	for	ADP
ejpam-5447	43	9	the	the	DET
ejpam-5447	43	10	hcv	hcv	NOUN
ejpam-5447	43	11	model	model	NOUN
ejpam-5447	43	12	using	use	VERB
ejpam-5447	43	13	the	the	DET
ejpam-5447	43	14	next	next	ADJ
ejpam-5447	43	15	-	-	PUNCT
ejpam-5447	43	16	generation	generation	NOUN
ejpam-5447	43	17	matrix	matrix	NOUN
ejpam-5447	43	18	technique	technique	NOUN
ejpam-5447	43	19	to	to	PART
ejpam-5447	43	20	determine	determine	VERB
ejpam-5447	43	21	the	the	DET
ejpam-5447	43	22	model	model	NOUN
ejpam-5447	43	23	’s	’s	PART
ejpam-5447	43	24	global	global	ADJ
ejpam-5447	43	25	dynamics	dynamic	NOUN
ejpam-5447	43	26	.	.	PUNCT
ejpam-5447	44	1	the	the	DET
ejpam-5447	44	2	model	model	NOUN
ejpam-5447	44	3	’s	’s	PART
ejpam-5447	44	4	reproduction	reproduction	NOUN
ejpam-5447	44	5	number	number	NOUN
ejpam-5447	44	6	shows	show	VERB
ejpam-5447	44	7	how	how	SCONJ
ejpam-5447	44	8	the	the	DET
ejpam-5447	44	9	disease	disease	NOUN
ejpam-5447	44	10	progresses	progress	VERB
ejpam-5447	44	11	.	.	PUNCT
ejpam-5447	45	1	the	the	DET
ejpam-5447	45	2	model	model	NOUN
ejpam-5447	45	3	’s	’s	PART
ejpam-5447	45	4	numerical	numerical	ADJ
ejpam-5447	45	5	solutions	solution	NOUN
ejpam-5447	45	6	are	be	AUX
ejpam-5447	45	7	obtained	obtain	VERB
ejpam-5447	45	8	using	use	VERB
ejpam-5447	45	9	the	the	DET
ejpam-5447	45	10	fractional	fractional	PROPN
ejpam-5447	45	11	adams	adams	PROPN
ejpam-5447	45	12	method	method	NOUN
ejpam-5447	45	13	.	.	PUNCT
ejpam-5447	46	1	the	the	DET
ejpam-5447	46	2	study	study	NOUN
ejpam-5447	46	3	in	in	ADP
ejpam-5447	46	4	[	[	X
ejpam-5447	46	5	20	20	NUM
ejpam-5447	46	6	]	]	PUNCT
ejpam-5447	46	7	introduced	introduce	VERB
ejpam-5447	46	8	a	a	DET
ejpam-5447	46	9	family	family	NOUN
ejpam-5447	46	10	of	of	ADP
ejpam-5447	46	11	root	root	NOUN
ejpam-5447	46	12	-	-	PUNCT
ejpam-5447	46	13	solvers	solver	NOUN
ejpam-5447	46	14	for	for	ADP
ejpam-5447	46	15	systems	system	NOUN
ejpam-5447	46	16	of	of	ADP
ejpam-5447	46	17	nonlinear	nonlinear	ADJ
ejpam-5447	46	18	equations	equation	NOUN
ejpam-5447	46	19	,	,	PUNCT
ejpam-5447	46	20	leveraging	leverage	VERB
ejpam-5447	46	21	the	the	DET
ejpam-5447	46	22	daftardar	daftardar	NOUN
ejpam-5447	46	23	-	-	PUNCT
ejpam-5447	46	24	gejji	gejji	NOUN
ejpam-5447	46	25	and	and	CCONJ
ejpam-5447	46	26	jafari	jafari	ADJ
ejpam-5447	46	27	decomposition	decomposition	NOUN
ejpam-5447	46	28	technique	technique	NOUN
ejpam-5447	46	29	coupled	couple	VERB
ejpam-5447	46	30	with	with	ADP
ejpam-5447	46	31	the	the	DET
ejpam-5447	46	32	midpoint	midpoint	NOUN
ejpam-5447	46	33	quadrature	quadrature	NOUN
ejpam-5447	46	34	rule	rule	NOUN
ejpam-5447	46	35	.	.	PUNCT
ejpam-5447	47	1	also	also	ADV
ejpam-5447	47	2	,	,	PUNCT
ejpam-5447	47	3	they	they	PRON
ejpam-5447	47	4	presented	present	VERB
ejpam-5447	47	5	a	a	DET
ejpam-5447	47	6	comprehensive	comprehensive	ADJ
ejpam-5447	47	7	analysis	analysis	NOUN
ejpam-5447	47	8	of	of	ADP
ejpam-5447	47	9	their	their	PRON
ejpam-5447	47	10	stability	stability	NOUN
ejpam-5447	47	11	and	and	CCONJ
ejpam-5447	47	12	semi	semi	ADJ
ejpam-5447	47	13	-	-	ADJ
ejpam-5447	47	14	local	local	ADJ
ejpam-5447	47	15	convergence	convergence	NOUN
ejpam-5447	47	16	with	with	ADP
ejpam-5447	47	17	the	the	DET
ejpam-5447	47	18	help	help	NOUN
ejpam-5447	47	19	of	of	ADP
ejpam-5447	47	20	taylor	taylor	PROPN
ejpam-5447	47	21	series	series	PROPN
ejpam-5447	47	22	expansions	expansion	NOUN
ejpam-5447	47	23	and	and	CCONJ
ejpam-5447	47	24	the	the	DET
ejpam-5447	47	25	banach	banach	ADV
ejpam-5447	47	26	fixed	fix	VERB
ejpam-5447	47	27	point	point	NOUN
ejpam-5447	47	28	theorem	theorem	VERB
ejpam-5447	47	29	.	.	PUNCT
ejpam-5447	48	1	the	the	DET
ejpam-5447	48	2	practical	practical	ADJ
ejpam-5447	48	3	efficacy	efficacy	NOUN
ejpam-5447	48	4	and	and	CCONJ
ejpam-5447	48	5	applicam	applicam	NOUN
ejpam-5447	48	6	.	.	PUNCT
ejpam-5447	49	1	m.	m.	PROPN
ejpam-5447	49	2	khader	khader	PROPN
ejpam-5447	49	3	,	,	PUNCT
ejpam-5447	49	4	m.	m.	NOUN
ejpam-5447	49	5	m.	m.	NOUN
ejpam-5447	49	6	babatin	babatin	PROPN
ejpam-5447	49	7	/	/	SYM
ejpam-5447	49	8	eur	eur	PROPN
ejpam-5447	49	9	.	.	PUNCT
ejpam-5447	50	1	j.	j.	PROPN
ejpam-5447	50	2	pure	pure	PROPN
ejpam-5447	50	3	appl	appl	PROPN
ejpam-5447	50	4	.	.	PROPN
ejpam-5447	50	5	math	math	PROPN
ejpam-5447	50	6	,	,	PUNCT
ejpam-5447	50	7	17	17	NUM
ejpam-5447	50	8	(	(	PUNCT
ejpam-5447	50	9	4	4	NUM
ejpam-5447	50	10	)	)	PUNCT
ejpam-5447	50	11	(	(	PUNCT
ejpam-5447	50	12	2024	2024	NUM
ejpam-5447	50	13	)	)	PUNCT
ejpam-5447	50	14	,	,	PUNCT
ejpam-5447	50	15	3167	3167	NUM
ejpam-5447	50	16	-	-	SYM
ejpam-5447	50	17	3184	3184	NUM
ejpam-5447	50	18	3169	3169	NUM
ejpam-5447	50	19	bility	bility	NOUN
ejpam-5447	50	20	of	of	ADP
ejpam-5447	50	21	the	the	DET
ejpam-5447	50	22	developed	develop	VERB
ejpam-5447	50	23	methods	method	NOUN
ejpam-5447	50	24	are	be	AUX
ejpam-5447	50	25	demonstrated	demonstrate	VERB
ejpam-5447	50	26	through	through	ADP
ejpam-5447	50	27	the	the	DET
ejpam-5447	50	28	resolution	resolution	NOUN
ejpam-5447	50	29	of	of	ADP
ejpam-5447	50	30	five	five	NUM
ejpam-5447	50	31	real	real	ADJ
ejpam-5447	50	32	-	-	PUNCT
ejpam-5447	50	33	world	world	NOUN
ejpam-5447	50	34	application	application	NOUN
ejpam-5447	50	35	problems	problem	NOUN
ejpam-5447	50	36	of	of	ADP
ejpam-5447	50	37	complex	complex	ADJ
ejpam-5447	50	38	nonlinear	nonlinear	ADJ
ejpam-5447	50	39	systems	system	NOUN
ejpam-5447	50	40	.	.	PUNCT
ejpam-5447	51	1	many	many	ADJ
ejpam-5447	51	2	mathematicians	mathematician	NOUN
ejpam-5447	51	3	find	find	VERB
ejpam-5447	51	4	it	it	PRON
ejpam-5447	51	5	challenging	challenge	VERB
ejpam-5447	51	6	to	to	PART
ejpam-5447	51	7	create	create	VERB
ejpam-5447	51	8	numerical	numerical	ADJ
ejpam-5447	51	9	and	and	CCONJ
ejpam-5447	51	10	approximate	approximate	ADJ
ejpam-5447	51	11	solutions	solution	NOUN
ejpam-5447	51	12	for	for	ADP
ejpam-5447	51	13	the	the	DET
ejpam-5447	51	14	fdes	fde	NOUN
ejpam-5447	51	15	[	[	X
ejpam-5447	51	16	11	11	NUM
ejpam-5447	51	17	]	]	PUNCT
ejpam-5447	51	18	.	.	PUNCT
ejpam-5447	52	1	the	the	DET
ejpam-5447	52	2	adams	adams	PROPN
ejpam-5447	52	3	-	-	PUNCT
ejpam-5447	52	4	bashforth	bashforth	NOUN
ejpam-5447	52	5	method	method	NOUN
ejpam-5447	52	6	,	,	PUNCT
ejpam-5447	52	7	incorporating	incorporate	VERB
ejpam-5447	52	8	the	the	DET
ejpam-5447	52	9	cf	cf	NOUN
ejpam-5447	52	10	operator	operator	NOUN
ejpam-5447	52	11	,	,	PUNCT
ejpam-5447	52	12	is	be	AUX
ejpam-5447	52	13	formulated	formulate	VERB
ejpam-5447	52	14	in	in	ADP
ejpam-5447	52	15	[	[	X
ejpam-5447	52	16	19	19	NUM
ejpam-5447	52	17	]	]	PUNCT
ejpam-5447	52	18	.	.	PUNCT
ejpam-5447	53	1	this	this	DET
ejpam-5447	53	2	method	method	NOUN
ejpam-5447	53	3	involves	involve	VERB
ejpam-5447	53	4	three	three	NUM
ejpam-5447	53	5	steps	step	NOUN
ejpam-5447	53	6	and	and	CCONJ
ejpam-5447	53	7	can	can	AUX
ejpam-5447	53	8	be	be	AUX
ejpam-5447	53	9	used	use	VERB
ejpam-5447	53	10	to	to	PART
ejpam-5447	53	11	solve	solve	VERB
ejpam-5447	53	12	both	both	DET
ejpam-5447	53	13	linear	linear	ADJ
ejpam-5447	53	14	/	/	SYM
ejpam-5447	53	15	nonlinear	nonlinear	ADJ
ejpam-5447	53	16	fdes	fde	NOUN
ejpam-5447	53	17	.	.	PUNCT
ejpam-5447	54	1	additionally	additionally	ADV
ejpam-5447	54	2	,	,	PUNCT
ejpam-5447	54	3	it	it	PRON
ejpam-5447	54	4	possesses	possess	VERB
ejpam-5447	54	5	diverse	diverse	ADJ
ejpam-5447	54	6	uses	use	NOUN
ejpam-5447	54	7	in	in	ADP
ejpam-5447	54	8	resolving	resolve	VERB
ejpam-5447	54	9	chaotic	chaotic	ADJ
ejpam-5447	54	10	systems	system	NOUN
ejpam-5447	54	11	with	with	ADP
ejpam-5447	54	12	fractional	fractional	ADJ
ejpam-5447	54	13	orders	order	NOUN
ejpam-5447	54	14	.	.	PUNCT
ejpam-5447	55	1	the	the	DET
ejpam-5447	55	2	study	study	NOUN
ejpam-5447	55	3	[	[	X
ejpam-5447	55	4	2	2	X
ejpam-5447	55	5	]	]	PUNCT
ejpam-5447	55	6	introduced	introduce	VERB
ejpam-5447	55	7	a	a	DET
ejpam-5447	55	8	fractional	fractional	ADJ
ejpam-5447	55	9	msd	msd	NOUN
ejpam-5447	55	10	model	model	NOUN
ejpam-5447	55	11	that	that	PRON
ejpam-5447	55	12	incorporates	incorporate	VERB
ejpam-5447	55	13	cf	cf	NOUN
ejpam-5447	55	14	-	-	PUNCT
ejpam-5447	55	15	derivatives	derivative	NOUN
ejpam-5447	55	16	.	.	PUNCT
ejpam-5447	56	1	the	the	DET
ejpam-5447	56	2	authors	author	NOUN
ejpam-5447	56	3	[	[	X
ejpam-5447	56	4	10	10	NUM
ejpam-5447	56	5	]	]	PUNCT
ejpam-5447	56	6	have	have	AUX
ejpam-5447	56	7	developed	develop	VERB
ejpam-5447	56	8	a	a	DET
ejpam-5447	56	9	trapezoidal	trapezoidal	ADJ
ejpam-5447	56	10	strategy	strategy	NOUN
ejpam-5447	56	11	to	to	PART
ejpam-5447	56	12	solve	solve	VERB
ejpam-5447	56	13	the	the	DET
ejpam-5447	56	14	fdes	fde	NOUN
ejpam-5447	56	15	efficiently	efficiently	ADV
ejpam-5447	56	16	.	.	PUNCT
ejpam-5447	57	1	this	this	DET
ejpam-5447	57	2	scheme	scheme	NOUN
ejpam-5447	57	3	utilizes	utilize	VERB
ejpam-5447	57	4	the	the	DET
ejpam-5447	57	5	cf	cf	NOUN
ejpam-5447	57	6	operator	operator	NOUN
ejpam-5447	57	7	and	and	CCONJ
ejpam-5447	57	8	achieves	achieve	VERB
ejpam-5447	57	9	a	a	DET
ejpam-5447	57	10	convergence	convergence	NOUN
ejpam-5447	57	11	order	order	NOUN
ejpam-5447	57	12	of	of	ADP
ejpam-5447	57	13	two	two	NUM
ejpam-5447	57	14	.	.	PUNCT
ejpam-5447	58	1	additionally	additionally	ADV
ejpam-5447	58	2	,	,	PUNCT
ejpam-5447	58	3	the	the	DET
ejpam-5447	58	4	convergence	convergence	NOUN
ejpam-5447	58	5	and	and	CCONJ
ejpam-5447	58	6	stability	stability	NOUN
ejpam-5447	58	7	of	of	ADP
ejpam-5447	58	8	this	this	DET
ejpam-5447	58	9	technique	technique	NOUN
ejpam-5447	58	10	have	have	AUX
ejpam-5447	58	11	been	be	AUX
ejpam-5447	58	12	thoroughly	thoroughly	ADV
ejpam-5447	58	13	investigated	investigate	VERB
ejpam-5447	58	14	.	.	PUNCT
ejpam-5447	59	1	inspired	inspire	VERB
ejpam-5447	59	2	by	by	ADP
ejpam-5447	59	3	this	this	DET
ejpam-5447	59	4	research	research	NOUN
ejpam-5447	59	5	,	,	PUNCT
ejpam-5447	59	6	we	we	PRON
ejpam-5447	59	7	devised	devise	VERB
ejpam-5447	59	8	simpson	simpson	PROPN
ejpam-5447	59	9	’s	’s	PART
ejpam-5447	59	10	1/3	1/3	NUM
ejpam-5447	59	11	scheme	scheme	NOUN
ejpam-5447	59	12	for	for	ADP
ejpam-5447	59	13	solving	solve	VERB
ejpam-5447	59	14	fdes	fde	NOUN
ejpam-5447	59	15	.	.	PUNCT
ejpam-5447	60	1	this	this	DET
ejpam-5447	60	2	method	method	NOUN
ejpam-5447	60	3	achieves	achieve	VERB
ejpam-5447	60	4	a	a	DET
ejpam-5447	60	5	high	high	ADJ
ejpam-5447	60	6	level	level	NOUN
ejpam-5447	60	7	of	of	ADP
ejpam-5447	60	8	accuracy	accuracy	NOUN
ejpam-5447	60	9	,	,	PUNCT
ejpam-5447	60	10	with	with	ADP
ejpam-5447	60	11	an	an	DET
ejpam-5447	60	12	order	order	NOUN
ejpam-5447	60	13	of	of	ADP
ejpam-5447	60	14	four	four	NUM
ejpam-5447	60	15	,	,	PUNCT
ejpam-5447	60	16	as	as	SCONJ
ejpam-5447	60	17	detailed	detailed	ADJ
ejpam-5447	60	18	in	in	ADP
ejpam-5447	60	19	our	our	PRON
ejpam-5447	60	20	work	work	NOUN
ejpam-5447	60	21	.	.	PUNCT
ejpam-5447	61	1	the	the	DET
ejpam-5447	61	2	proposed	propose	VERB
ejpam-5447	61	3	fractional	fractional	PROPN
ejpam-5447	61	4	simpson	simpson	PROPN
ejpam-5447	61	5	’s	’s	PART
ejpam-5447	61	6	1/3	1/3	NUM
ejpam-5447	61	7	approach	approach	NOUN
ejpam-5447	61	8	offers	offer	VERB
ejpam-5447	61	9	superior	superior	ADJ
ejpam-5447	61	10	accuracy	accuracy	NOUN
ejpam-5447	61	11	compared	compare	VERB
ejpam-5447	61	12	to	to	ADP
ejpam-5447	61	13	current	current	ADJ
ejpam-5447	61	14	methods	method	NOUN
ejpam-5447	61	15	and	and	CCONJ
ejpam-5447	61	16	is	be	AUX
ejpam-5447	61	17	straightforward	straightforward	ADJ
ejpam-5447	61	18	to	to	PART
ejpam-5447	61	19	implement	implement	VERB
ejpam-5447	61	20	.	.	PUNCT
ejpam-5447	62	1	2	2	X
ejpam-5447	62	2	.	.	X
ejpam-5447	62	3	preliminaries	preliminary	NOUN
ejpam-5447	62	4	mathematical	mathematical	ADJ
ejpam-5447	62	5	models	model	NOUN
ejpam-5447	62	6	using	use	VERB
ejpam-5447	62	7	more	more	ADV
ejpam-5447	62	8	accurate	accurate	ADJ
ejpam-5447	62	9	fractional	fractional	ADJ
ejpam-5447	62	10	derivatives	derivative	NOUN
ejpam-5447	62	11	(	(	PUNCT
ejpam-5447	62	12	fd	fd	X
ejpam-5447	62	13	)	)	PUNCT
ejpam-5447	62	14	have	have	AUX
ejpam-5447	62	15	been	be	AUX
ejpam-5447	62	16	used	use	VERB
ejpam-5447	62	17	by	by	ADP
ejpam-5447	62	18	taking	take	VERB
ejpam-5447	62	19	advantage	advantage	NOUN
ejpam-5447	62	20	of	of	ADP
ejpam-5447	62	21	a	a	DET
ejpam-5447	62	22	non	non	ADJ
ejpam-5447	62	23	-	-	ADJ
ejpam-5447	62	24	singular	singular	ADJ
ejpam-5447	62	25	kernel	kernel	NOUN
ejpam-5447	62	26	.	.	PUNCT
ejpam-5447	63	1	this	this	DET
ejpam-5447	63	2	approach	approach	NOUN
ejpam-5447	63	3	enhances	enhance	VERB
ejpam-5447	63	4	the	the	DET
ejpam-5447	63	5	system	system	NOUN
ejpam-5447	63	6	’s	’s	PART
ejpam-5447	63	7	ability	ability	NOUN
ejpam-5447	63	8	to	to	PART
ejpam-5447	63	9	accurately	accurately	ADV
ejpam-5447	63	10	represent	represent	VERB
ejpam-5447	63	11	and	and	CCONJ
ejpam-5447	63	12	capture	capture	VERB
ejpam-5447	63	13	memory	memory	NOUN
ejpam-5447	63	14	effects	effect	NOUN
ejpam-5447	63	15	.	.	PUNCT
ejpam-5447	64	1	in	in	ADP
ejpam-5447	64	2	2015	2015	NUM
ejpam-5447	64	3	,	,	PUNCT
ejpam-5447	64	4	caputo	caputo	PROPN
ejpam-5447	64	5	and	and	CCONJ
ejpam-5447	64	6	fabrizio	fabrizio	PROPN
ejpam-5447	64	7	successfully	successfully	ADV
ejpam-5447	64	8	introduced	introduce	VERB
ejpam-5447	64	9	the	the	DET
ejpam-5447	64	10	cf	cf	NOUN
ejpam-5447	64	11	-	-	PUNCT
ejpam-5447	64	12	fractional	fractional	ADJ
ejpam-5447	64	13	derivative	derivative	NOUN
ejpam-5447	64	14	by	by	ADP
ejpam-5447	64	15	substituting	substitute	VERB
ejpam-5447	64	16	the	the	DET
ejpam-5447	64	17	singular	singular	ADJ
ejpam-5447	64	18	kernel	kernel	NOUN
ejpam-5447	64	19	(	(	PUNCT
ejpam-5447	64	20	t−	t−	PROPN
ejpam-5447	64	21	τ)−γ	τ)−γ	PUNCT
ejpam-5447	64	22	with	with	ADP
ejpam-5447	64	23	e	e	NOUN
ejpam-5447	64	24	(	(	PUNCT
ejpam-5447	64	25	−γ(t−τ	−γ(t−τ	NOUN
ejpam-5447	64	26	)	)	PUNCT
ejpam-5447	64	27	1−γ	1−γ	NUM
ejpam-5447	64	28	)	)	PUNCT
ejpam-5447	64	29	in	in	ADP
ejpam-5447	64	30	the	the	DET
ejpam-5447	64	31	caputo	caputo	PROPN
ejpam-5447	64	32	derivative	derivative	NOUN
ejpam-5447	65	1	[	[	X
ejpam-5447	65	2	8	8	NUM
ejpam-5447	65	3	]	]	PUNCT
ejpam-5447	65	4	.	.	PUNCT
ejpam-5447	66	1	here	here	ADV
ejpam-5447	66	2	,	,	PUNCT
ejpam-5447	66	3	we	we	PRON
ejpam-5447	66	4	will	will	AUX
ejpam-5447	66	5	provide	provide	VERB
ejpam-5447	66	6	a	a	DET
ejpam-5447	66	7	succinct	succinct	ADJ
ejpam-5447	66	8	overview	overview	NOUN
ejpam-5447	66	9	of	of	ADP
ejpam-5447	66	10	fundamental	fundamental	ADJ
ejpam-5447	66	11	definitions	definition	NOUN
ejpam-5447	66	12	pertaining	pertain	VERB
ejpam-5447	66	13	to	to	ADP
ejpam-5447	66	14	fractional	fractional	ADJ
ejpam-5447	66	15	calculus	calculus	NOUN
ejpam-5447	66	16	involving	involve	VERB
ejpam-5447	66	17	a	a	DET
ejpam-5447	66	18	non	non	ADJ
ejpam-5447	66	19	-	-	ADJ
ejpam-5447	66	20	singular	singular	ADJ
ejpam-5447	66	21	kernel	kernel	NOUN
ejpam-5447	66	22	.	.	PUNCT
ejpam-5447	67	1	definition	definition	NOUN
ejpam-5447	67	2	1	1	NUM
ejpam-5447	67	3	.	.	PUNCT
ejpam-5447	68	1	for	for	ADP
ejpam-5447	68	2	ψ(t	ψ(t	PROPN
ejpam-5447	68	3	)	)	PUNCT
ejpam-5447	68	4	∈	∈	PROPN
ejpam-5447	68	5	h1(0	h1(0	PROPN
ejpam-5447	68	6	,	,	PUNCT
ejpam-5447	68	7	a	a	PRON
ejpam-5447	68	8	)	)	PUNCT
ejpam-5447	68	9	,	,	PUNCT
ejpam-5447	68	10	0	0	PUNCT
ejpam-5447	68	11	<	<	X
ejpam-5447	68	12	γ	γ	X
ejpam-5447	68	13	<	<	X
ejpam-5447	68	14	1	1	NUM
ejpam-5447	68	15	.	.	PUNCT
ejpam-5447	69	1	then	then	ADV
ejpam-5447	69	2	the	the	DET
ejpam-5447	69	3	cf	cf	NOUN
ejpam-5447	69	4	-	-	PUNCT
ejpam-5447	69	5	fd	fd	NOUN
ejpam-5447	69	6	,	,	PUNCT
ejpam-5447	69	7	cfdγψ(t	cfdγψ(t	NOUN
ejpam-5447	69	8	)	)	PUNCT
ejpam-5447	69	9	and	and	CCONJ
ejpam-5447	69	10	cf	cf	NOUN
ejpam-5447	69	11	-	-	PUNCT
ejpam-5447	69	12	fractional	fractional	ADJ
ejpam-5447	69	13	integral	integral	ADJ
ejpam-5447	69	14	cf	cf	NOUN
ejpam-5447	69	15	iγψ(t	iγψ(t	PROPN
ejpam-5447	69	16	)	)	PUNCT
ejpam-5447	69	17	,	,	PUNCT
ejpam-5447	69	18	respectively	respectively	ADV
ejpam-5447	69	19	are	be	AUX
ejpam-5447	69	20	defined	define	VERB
ejpam-5447	69	21	by	by	ADP
ejpam-5447	69	22	:	:	PUNCT
ejpam-5447	69	23	cfdγψ(t	cfdγψ(t	NOUN
ejpam-5447	69	24	)	)	PUNCT
ejpam-5447	69	25	:	:	PUNCT
ejpam-5447	69	26	=	=	SYM
ejpam-5447	69	27	1	1	NUM
ejpam-5447	69	28	1−	1−	NUM
ejpam-5447	69	29	γ	γ	PROPN
ejpam-5447	69	30	∫	∫	PROPN
ejpam-5447	69	31	t	t	PROPN
ejpam-5447	69	32	0	0	NUM
ejpam-5447	69	33	exp	exp	NOUN
ejpam-5447	69	34	[	[	PUNCT
ejpam-5447	69	35	−	−	PROPN
ejpam-5447	69	36	γ	γ	NOUN
ejpam-5447	69	37	1−	1−	NUM
ejpam-5447	69	38	γ	γ	X
ejpam-5447	69	39	(	(	PUNCT
ejpam-5447	69	40	t−	t−	PROPN
ejpam-5447	69	41	τ	τ	PROPN
ejpam-5447	69	42	)	)	PUNCT
ejpam-5447	69	43	]	]	PUNCT
ejpam-5447	70	1	ψ̇(τ)dτ	ψ̇(τ)dτ	INTJ
ejpam-5447	70	2	,	,	PUNCT
ejpam-5447	70	3	cf	cf	X
ejpam-5447	70	4	iγψ(t	iγψ(t	PROPN
ejpam-5447	70	5	)	)	PUNCT
ejpam-5447	70	6	:	:	PUNCT
ejpam-5447	70	7	=	=	SYM
ejpam-5447	70	8	(	(	PUNCT
ejpam-5447	70	9	1−	1−	NUM
ejpam-5447	70	10	γ)ψ(t	γ)ψ(t	PROPN
ejpam-5447	70	11	)	)	PUNCT
ejpam-5447	71	1	+	+	CCONJ
ejpam-5447	71	2	γ	γ	PROPN
ejpam-5447	71	3	∫	∫	PROPN
ejpam-5447	71	4	t	t	PROPN
ejpam-5447	71	5	0	0	NUM
ejpam-5447	71	6	ψ(τ)dτ	ψ(τ)dτ	PROPN
ejpam-5447	71	7	.	.	PUNCT
ejpam-5447	72	1	(	(	PUNCT
ejpam-5447	72	2	1	1	NUM
ejpam-5447	72	3	)	)	PUNCT
ejpam-5447	72	4	3	3	NUM
ejpam-5447	72	5	.	.	X
ejpam-5447	73	1	formulation	formulation	NOUN
ejpam-5447	73	2	of	of	ADP
ejpam-5447	73	3	the	the	DET
ejpam-5447	73	4	two	two	NUM
ejpam-5447	73	5	models	model	NOUN
ejpam-5447	73	6	3.1	3.1	NUM
ejpam-5447	73	7	.	.	PUNCT
ejpam-5447	74	1	description	description	NOUN
ejpam-5447	74	2	of	of	ADP
ejpam-5447	74	3	the	the	DET
ejpam-5447	74	4	blood	blood	NOUN
ejpam-5447	74	5	ethanol	ethanol	NOUN
ejpam-5447	74	6	concentration	concentration	NOUN
ejpam-5447	74	7	model	model	NOUN
ejpam-5447	74	8	here	here	ADV
ejpam-5447	75	1	,	,	PUNCT
ejpam-5447	75	2	we	we	PRON
ejpam-5447	75	3	will	will	AUX
ejpam-5447	75	4	use	use	VERB
ejpam-5447	75	5	the	the	DET
ejpam-5447	75	6	experimental	experimental	ADJ
ejpam-5447	75	7	study	study	NOUN
ejpam-5447	75	8	conducted	conduct	VERB
ejpam-5447	75	9	in	in	ADP
ejpam-5447	75	10	[	[	X
ejpam-5447	75	11	15	15	NUM
ejpam-5447	75	12	]	]	PUNCT
ejpam-5447	75	13	to	to	PART
ejpam-5447	75	14	deduce	deduce	VERB
ejpam-5447	75	15	the	the	DET
ejpam-5447	75	16	mathematical	mathematical	ADJ
ejpam-5447	75	17	model	model	NOUN
ejpam-5447	75	18	that	that	PRON
ejpam-5447	75	19	describes	describe	VERB
ejpam-5447	75	20	the	the	DET
ejpam-5447	75	21	issue	issue	NOUN
ejpam-5447	75	22	under	under	ADP
ejpam-5447	75	23	study	study	NOUN
ejpam-5447	75	24	to	to	PART
ejpam-5447	75	25	locate	locate	VERB
ejpam-5447	75	26	the	the	DET
ejpam-5447	75	27	concentration	concentration	NOUN
ejpam-5447	75	28	of	of	ADP
ejpam-5447	75	29	alcohol	alcohol	NOUN
ejpam-5447	75	30	in	in	ADP
ejpam-5447	75	31	the	the	DET
ejpam-5447	75	32	human	human	ADJ
ejpam-5447	75	33	stomach	stomach	NOUN
ejpam-5447	75	34	θ1(t	θ1(t	PROPN
ejpam-5447	75	35	)	)	PUNCT
ejpam-5447	75	36	&	&	CCONJ
ejpam-5447	75	37	in	in	ADP
ejpam-5447	75	38	his	his	PRON
ejpam-5447	75	39	blood	blood	NOUN
ejpam-5447	75	40	θ2(t	θ2(t	NOUN
ejpam-5447	75	41	)	)	PUNCT
ejpam-5447	75	42	at	at	ADP
ejpam-5447	75	43	any	any	DET
ejpam-5447	75	44	time	time	NOUN
ejpam-5447	75	45	t	t	NOUN
ejpam-5447	75	46	(	(	PUNCT
ejpam-5447	75	47	mg	mg	PROPN
ejpam-5447	75	48	/	/	SYM
ejpam-5447	75	49	l	l	NOUN
ejpam-5447	75	50	)	)	PUNCT
ejpam-5447	75	51	,	,	PUNCT
ejpam-5447	75	52	as	as	SCONJ
ejpam-5447	75	53	it	it	PRON
ejpam-5447	75	54	is	be	AUX
ejpam-5447	75	55	the	the	DET
ejpam-5447	75	56	major	major	ADJ
ejpam-5447	75	57	provenance	provenance	NOUN
ejpam-5447	75	58	for	for	ADP
ejpam-5447	75	59	obtaining	obtain	VERB
ejpam-5447	75	60	the	the	DET
ejpam-5447	75	61	real	real	ADJ
ejpam-5447	75	62	data	datum	NOUN
ejpam-5447	75	63	for	for	ADP
ejpam-5447	75	64	the	the	DET
ejpam-5447	75	65	present	present	ADJ
ejpam-5447	75	66	study	study	NOUN
ejpam-5447	75	67	.	.	PUNCT
ejpam-5447	76	1	the	the	DET
ejpam-5447	76	2	proposed	propose	VERB
ejpam-5447	76	3	system	system	NOUN
ejpam-5447	76	4	in	in	ADP
ejpam-5447	76	5	its	its	PRON
ejpam-5447	76	6	cf	cf	NOUN
ejpam-5447	76	7	-	-	PUNCT
ejpam-5447	76	8	fractional	fractional	ADJ
ejpam-5447	76	9	m.	m.	NOUN
ejpam-5447	76	10	m.	m.	NOUN
ejpam-5447	76	11	khader	khader	PROPN
ejpam-5447	76	12	,	,	PUNCT
ejpam-5447	76	13	m.	m.	NOUN
ejpam-5447	76	14	m.	m.	NOUN
ejpam-5447	76	15	babatin	babatin	PROPN
ejpam-5447	76	16	/	/	SYM
ejpam-5447	76	17	eur	eur	PROPN
ejpam-5447	76	18	.	.	PUNCT
ejpam-5447	77	1	j.	j.	PROPN
ejpam-5447	77	2	pure	pure	PROPN
ejpam-5447	77	3	appl	appl	PROPN
ejpam-5447	77	4	.	.	PROPN
ejpam-5447	77	5	math	math	PROPN
ejpam-5447	77	6	,	,	PUNCT
ejpam-5447	77	7	17	17	NUM
ejpam-5447	77	8	(	(	PUNCT
ejpam-5447	77	9	4	4	NUM
ejpam-5447	77	10	)	)	PUNCT
ejpam-5447	77	11	(	(	PUNCT
ejpam-5447	77	12	2024	2024	NUM
ejpam-5447	77	13	)	)	PUNCT
ejpam-5447	77	14	,	,	PUNCT
ejpam-5447	77	15	3167	3167	NUM
ejpam-5447	77	16	-	-	SYM
ejpam-5447	77	17	3184	3184	NUM
ejpam-5447	77	18	3170	3170	NUM
ejpam-5447	77	19	form	form	NOUN
ejpam-5447	77	20	is	be	AUX
ejpam-5447	77	21	specified	specify	VERB
ejpam-5447	77	22	by	by	ADP
ejpam-5447	77	23	the	the	DET
ejpam-5447	77	24	subsequent	subsequent	ADJ
ejpam-5447	77	25	equations	equation	NOUN
ejpam-5447	77	26	:	:	PUNCT
ejpam-5447	77	27	cfdαθ1(t	cfdαθ1(t	X
ejpam-5447	77	28	)	)	PUNCT
ejpam-5447	77	29	=	=	PUNCT
ejpam-5447	78	1	−λαθ1(t	−λαθ1(t	NOUN
ejpam-5447	78	2	)	)	PUNCT
ejpam-5447	78	3	,	,	PUNCT
ejpam-5447	78	4	cfdβθ2(t	cfdβθ2(t	NOUN
ejpam-5447	78	5	)	)	PUNCT
ejpam-5447	78	6	=	=	SYM
ejpam-5447	79	1	λβθ1(t)−	λβθ1(t)−	PRON
ejpam-5447	79	2	µβθ2(t	µβθ2(t	NOUN
ejpam-5447	79	3	)	)	PUNCT
ejpam-5447	79	4	,	,	PUNCT
ejpam-5447	79	5	(	(	PUNCT
ejpam-5447	79	6	2	2	X
ejpam-5447	79	7	)	)	PUNCT
ejpam-5447	79	8	θ1(0	θ1(0	PROPN
ejpam-5447	79	9	)	)	PUNCT
ejpam-5447	79	10	=	=	SYM
ejpam-5447	79	11	θ01	θ01	NOUN
ejpam-5447	79	12	,	,	PUNCT
ejpam-5447	79	13	θ2(0	θ2(0	NOUN
ejpam-5447	79	14	)	)	PUNCT
ejpam-5447	79	15	=	=	SYM
ejpam-5447	80	1	0	0	NUM
ejpam-5447	80	2	,	,	PUNCT
ejpam-5447	80	3	where	where	SCONJ
ejpam-5447	80	4	λ	λ	PROPN
ejpam-5447	80	5	and	and	CCONJ
ejpam-5447	80	6	µ	µ	X
ejpam-5447	80	7	are	be	AUX
ejpam-5447	80	8	the	the	DET
ejpam-5447	80	9	rate	rate	NOUN
ejpam-5447	80	10	law	law	NOUN
ejpam-5447	80	11	constants	constant	NOUN
ejpam-5447	80	12	1	1	NUM
ejpam-5447	80	13	and	and	CCONJ
ejpam-5447	80	14	2	2	NUM
ejpam-5447	80	15	,	,	PUNCT
ejpam-5447	80	16	respectively	respectively	ADV
ejpam-5447	80	17	[	[	X
ejpam-5447	80	18	15	15	NUM
ejpam-5447	80	19	]	]	PUNCT
ejpam-5447	80	20	.	.	PUNCT
ejpam-5447	81	1	the	the	DET
ejpam-5447	81	2	true	true	ADJ
ejpam-5447	81	3	solution	solution	NOUN
ejpam-5447	81	4	of	of	ADP
ejpam-5447	81	5	this	this	DET
ejpam-5447	81	6	model	model	NOUN
ejpam-5447	81	7	is	be	AUX
ejpam-5447	81	8	defined	define	VERB
ejpam-5447	81	9	by	by	ADP
ejpam-5447	81	10	[	[	X
ejpam-5447	81	11	21	21	NUM
ejpam-5447	81	12	]	]	X
ejpam-5447	81	13	:	:	PUNCT
ejpam-5447	81	14	θ1(t	θ1(t	X
ejpam-5447	81	15	)	)	PUNCT
ejpam-5447	81	16	=	=	SYM
ejpam-5447	81	17	θ01	θ01	NOUN
ejpam-5447	81	18	eα(−λαtα	eα(−λαtα	PROPN
ejpam-5447	81	19	)	)	PUNCT
ejpam-5447	81	20	,	,	PUNCT
ejpam-5447	81	21	θ2(t	θ2(t	PROPN
ejpam-5447	81	22	)	)	PUNCT
ejpam-5447	81	23	=	=	PUNCT
ejpam-5447	82	1	θ01λ	θ01λ	NOUN
ejpam-5447	82	2	β	β	VERB
ejpam-5447	82	3	∞∑	∞∑	ADJ
ejpam-5447	82	4	p=0	p=0	PROPN
ejpam-5447	82	5	∞∑	∞∑	NUM
ejpam-5447	82	6	q=0	q=0	NOUN
ejpam-5447	82	7	(	(	PUNCT
ejpam-5447	82	8	−λα)p(−µβ)q	−λα)p(−µβ)q	NOUN
ejpam-5447	82	9	γ(pα+	γ(pα+	PROPN
ejpam-5447	82	10	qβ	qβ	PROPN
ejpam-5447	83	1	+	+	X
ejpam-5447	83	2	β	β	X
ejpam-5447	83	3	+	+	ADJ
ejpam-5447	83	4	1	1	NUM
ejpam-5447	83	5	)	)	PUNCT
ejpam-5447	83	6	tpα+qβ+β	tpα+qβ+β	NUM
ejpam-5447	83	7	.	.	PROPN
ejpam-5447	84	1	3.2	3.2	NUM
ejpam-5447	84	2	.	.	PUNCT
ejpam-5447	84	3	description	description	NOUN
ejpam-5447	84	4	of	of	ADP
ejpam-5447	84	5	the	the	DET
ejpam-5447	84	6	ebola	ebola	PROPN
ejpam-5447	84	7	virus	virus	NOUN
ejpam-5447	84	8	disease	disease	NOUN
ejpam-5447	84	9	model	model	VERB
ejpam-5447	84	10	the	the	DET
ejpam-5447	84	11	fractional	fractional	ADJ
ejpam-5447	84	12	epidemiological	epidemiological	ADJ
ejpam-5447	84	13	system	system	NOUN
ejpam-5447	84	14	(	(	PUNCT
ejpam-5447	84	15	with	with	ADP
ejpam-5447	84	16	the	the	DET
ejpam-5447	84	17	total	total	ADJ
ejpam-5447	84	18	population	population	NOUN
ejpam-5447	84	19	,	,	PUNCT
ejpam-5447	84	20	n	n	CCONJ
ejpam-5447	84	21	)	)	PUNCT
ejpam-5447	84	22	of	of	ADP
ejpam-5447	84	23	the	the	DET
ejpam-5447	84	24	evd	evd	NOUN
ejpam-5447	84	25	can	can	AUX
ejpam-5447	84	26	be	be	AUX
ejpam-5447	84	27	described	describe	VERB
ejpam-5447	84	28	as	as	SCONJ
ejpam-5447	84	29	follows	follow	VERB
ejpam-5447	84	30	[	[	X
ejpam-5447	84	31	9	9	NUM
ejpam-5447	84	32	]	]	PUNCT
ejpam-5447	84	33	:	:	PUNCT
ejpam-5447	84	34	cfdνψ1(t	cfdνψ1(t	NOUN
ejpam-5447	84	35	)	)	PUNCT
ejpam-5447	84	36	=	=	PUNCT
ejpam-5447	84	37	−αψ1(t)ψ2(t	−αψ1(t)ψ2(t	PUNCT
ejpam-5447	84	38	)	)	PUNCT
ejpam-5447	85	1	+	+	CCONJ
ejpam-5447	85	2	β	β	X
ejpam-5447	85	3	ψ3(t)−	ψ3(t)−	X
ejpam-5447	85	4	γ	γ	PROPN
ejpam-5447	85	5	n	n	CCONJ
ejpam-5447	85	6	,	,	PUNCT
ejpam-5447	85	7	cfdνψ2(t	cfdνψ2(t	NOUN
ejpam-5447	85	8	)	)	PUNCT
ejpam-5447	85	9	=	=	SYM
ejpam-5447	86	1	αψ1(t)ψ2(t)−	αψ1(t)ψ2(t)−	PROPN
ejpam-5447	86	2	ϵ	ϵ	X
ejpam-5447	86	3	ψ2(t)−	ψ2(t)−	PUNCT
ejpam-5447	86	4	δ	δ	PROPN
ejpam-5447	86	5	ψ2(t	ψ2(t	PROPN
ejpam-5447	86	6	)	)	PUNCT
ejpam-5447	86	7	,	,	PUNCT
ejpam-5447	86	8	cfdνψ3(t	cfdνψ3(t	PROPN
ejpam-5447	86	9	)	)	PUNCT
ejpam-5447	87	1	=	=	SYM
ejpam-5447	87	2	δ	δ	X
ejpam-5447	87	3	ψ2(t)−	ψ2(t)−	PUNCT
ejpam-5447	87	4	β	β	X
ejpam-5447	87	5	ψ3(t	ψ3(t	NOUN
ejpam-5447	87	6	)	)	PUNCT
ejpam-5447	87	7	,	,	PUNCT
ejpam-5447	87	8	cfdνψ4(t	cfdνψ4(t	PROPN
ejpam-5447	87	9	)	)	PUNCT
ejpam-5447	87	10	=	=	PUNCT
ejpam-5447	87	11	ϵ	ϵ	X
ejpam-5447	87	12	ψ2(t	ψ2(t	PROPN
ejpam-5447	87	13	)	)	PUNCT
ejpam-5447	87	14	+	+	CCONJ
ejpam-5447	87	15	γ	γ	PROPN
ejpam-5447	87	16	n	n	X
ejpam-5447	87	17	,	,	PUNCT
ejpam-5447	87	18	(	(	PUNCT
ejpam-5447	87	19	3	3	X
ejpam-5447	87	20	)	)	PUNCT
ejpam-5447	87	21	with	with	ADP
ejpam-5447	87	22	the	the	DET
ejpam-5447	87	23	i.cs	i.cs	PROPN
ejpam-5447	87	24	ψi(0	ψi(0	PROPN
ejpam-5447	87	25	)	)	PUNCT
ejpam-5447	88	1	=	=	PRON
ejpam-5447	88	2	ψ̂0	ψ̂0	PROPN
ejpam-5447	89	1	i	i	PRON
ejpam-5447	89	2	,	,	PUNCT
ejpam-5447	89	3	i	i	PRON
ejpam-5447	89	4	=	=	NOUN
ejpam-5447	89	5	1	1	NUM
ejpam-5447	89	6	,	,	PUNCT
ejpam-5447	89	7	2	2	NUM
ejpam-5447	89	8	,	,	PUNCT
ejpam-5447	89	9	3	3	NUM
ejpam-5447	89	10	,	,	PUNCT
ejpam-5447	89	11	4	4	NUM
ejpam-5447	89	12	where	where	SCONJ
ejpam-5447	89	13	ν	ν	PROPN
ejpam-5447	89	14	∈	∈	PROPN
ejpam-5447	89	15	(	(	PUNCT
ejpam-5447	89	16	0	0	NUM
ejpam-5447	89	17	,	,	PUNCT
ejpam-5447	89	18	1	1	NUM
ejpam-5447	89	19	]	]	PUNCT
ejpam-5447	89	20	.	.	PUNCT
ejpam-5447	90	1	all	all	DET
ejpam-5447	90	2	variables	variable	NOUN
ejpam-5447	90	3	&	&	CCONJ
ejpam-5447	90	4	constants	constant	NOUN
ejpam-5447	90	5	contained	contain	VERB
ejpam-5447	90	6	in	in	ADP
ejpam-5447	90	7	the	the	DET
ejpam-5447	90	8	previous	previous	ADJ
ejpam-5447	90	9	model	model	NOUN
ejpam-5447	90	10	can	can	AUX
ejpam-5447	90	11	be	be	AUX
ejpam-5447	90	12	described	describe	VERB
ejpam-5447	90	13	&	&	CCONJ
ejpam-5447	90	14	defined	define	VERB
ejpam-5447	90	15	as	as	ADP
ejpam-5447	90	16	in	in	ADP
ejpam-5447	90	17	the	the	DET
ejpam-5447	90	18	following	follow	VERB
ejpam-5447	90	19	table	table	NOUN
ejpam-5447	90	20	:	:	PUNCT
ejpam-5447	90	21	symbol	symbol	NOUN
ejpam-5447	90	22	description	description	NOUN
ejpam-5447	90	23	ψ1(t	ψ1(t	PART
ejpam-5447	90	24	)	)	PUNCT
ejpam-5447	90	25	,	,	PUNCT
ejpam-5447	90	26	ψ2(t	ψ2(t	PROPN
ejpam-5447	90	27	)	)	PUNCT
ejpam-5447	90	28	and	and	CCONJ
ejpam-5447	90	29	ψ3(t	ψ3(t	NOUN
ejpam-5447	90	30	)	)	PUNCT
ejpam-5447	90	31	the	the	DET
ejpam-5447	90	32	susceptible	susceptible	ADJ
ejpam-5447	90	33	,	,	PUNCT
ejpam-5447	90	34	infected	infected	ADJ
ejpam-5447	90	35	,	,	PUNCT
ejpam-5447	90	36	and	and	CCONJ
ejpam-5447	90	37	recovery	recovery	NOUN
ejpam-5447	90	38	population	population	NOUN
ejpam-5447	90	39	,	,	PUNCT
ejpam-5447	90	40	respectively	respectively	ADV
ejpam-5447	90	41	ψ4(t	ψ4(t	ADP
ejpam-5447	90	42	)	)	PUNCT
ejpam-5447	90	43	the	the	DET
ejpam-5447	90	44	population	population	NOUN
ejpam-5447	90	45	died	die	VERB
ejpam-5447	90	46	α	α	PROPN
ejpam-5447	90	47	the	the	DET
ejpam-5447	90	48	rate	rate	NOUN
ejpam-5447	90	49	of	of	ADP
ejpam-5447	90	50	infection	infection	NOUN
ejpam-5447	90	51	with	with	ADP
ejpam-5447	90	52	the	the	DET
ejpam-5447	90	53	disease	disease	NOUN
ejpam-5447	90	54	β	β	PROPN
ejpam-5447	90	55	and	and	CCONJ
ejpam-5447	90	56	γ	γ	X
ejpam-5447	90	57	the	the	DET
ejpam-5447	90	58	rate	rate	NOUN
ejpam-5447	90	59	of	of	ADP
ejpam-5447	90	60	susceptibility	susceptibility	NOUN
ejpam-5447	90	61	,	,	PUNCT
ejpam-5447	90	62	and	and	CCONJ
ejpam-5447	90	63	natural	natural	ADJ
ejpam-5447	90	64	death	death	NOUN
ejpam-5447	90	65	respectively	respectively	ADV
ejpam-5447	90	66	ϵ	ϵ	PROPN
ejpam-5447	90	67	and	and	CCONJ
ejpam-5447	90	68	δ	δ	PRON
ejpam-5447	90	69	the	the	DET
ejpam-5447	90	70	rate	rate	NOUN
ejpam-5447	90	71	of	of	ADP
ejpam-5447	90	72	death	death	NOUN
ejpam-5447	90	73	,	,	PUNCT
ejpam-5447	90	74	and	and	CCONJ
ejpam-5447	90	75	recovery	recovery	NOUN
ejpam-5447	90	76	from	from	ADP
ejpam-5447	90	77	the	the	DET
ejpam-5447	90	78	disease	disease	NOUN
ejpam-5447	90	79	,	,	PUNCT
ejpam-5447	90	80	respectively	respectively	ADV
ejpam-5447	90	81	throughout	throughout	ADP
ejpam-5447	90	82	the	the	DET
ejpam-5447	90	83	examination	examination	NOUN
ejpam-5447	90	84	of	of	ADP
ejpam-5447	90	85	the	the	DET
ejpam-5447	90	86	models	model	NOUN
ejpam-5447	90	87	presented	present	VERB
ejpam-5447	90	88	in	in	ADP
ejpam-5447	90	89	(	(	PUNCT
ejpam-5447	90	90	2	2	NUM
ejpam-5447	90	91	)	)	PUNCT
ejpam-5447	90	92	and	and	CCONJ
ejpam-5447	90	93	(	(	PUNCT
ejpam-5447	90	94	3	3	NUM
ejpam-5447	90	95	)	)	PUNCT
ejpam-5447	90	96	,	,	PUNCT
ejpam-5447	90	97	the	the	DET
ejpam-5447	90	98	subsequent	subsequent	ADJ
ejpam-5447	90	99	approaches	approach	NOUN
ejpam-5447	90	100	will	will	AUX
ejpam-5447	90	101	be	be	AUX
ejpam-5447	90	102	employed	employ	VERB
ejpam-5447	90	103	.	.	PUNCT
ejpam-5447	91	1	we	we	PRON
ejpam-5447	91	2	will	will	AUX
ejpam-5447	91	3	provide	provide	VERB
ejpam-5447	91	4	the	the	DET
ejpam-5447	91	5	necessary	necessary	ADJ
ejpam-5447	91	6	definitions	definition	NOUN
ejpam-5447	91	7	in	in	ADP
ejpam-5447	91	8	the	the	DET
ejpam-5447	91	9	following	follow	VERB
ejpam-5447	91	10	sections	section	NOUN
ejpam-5447	91	11	.	.	PUNCT
ejpam-5447	92	1	the	the	DET
ejpam-5447	92	2	advanced	advanced	ADJ
ejpam-5447	92	3	portions	portion	NOUN
ejpam-5447	92	4	will	will	AUX
ejpam-5447	92	5	then	then	ADV
ejpam-5447	92	6	contain	contain	VERB
ejpam-5447	92	7	numerical	numerical	ADJ
ejpam-5447	92	8	results	result	NOUN
ejpam-5447	92	9	,	,	PUNCT
ejpam-5447	92	10	simulations	simulation	NOUN
ejpam-5447	92	11	,	,	PUNCT
ejpam-5447	92	12	and	and	CCONJ
ejpam-5447	92	13	conclusions	conclusion	NOUN
ejpam-5447	92	14	.	.	PUNCT
ejpam-5447	93	1	the	the	DET
ejpam-5447	93	2	study	study	NOUN
ejpam-5447	93	3	’s	’s	PART
ejpam-5447	93	4	primary	primary	ADJ
ejpam-5447	93	5	goal	goal	NOUN
ejpam-5447	93	6	is	be	AUX
ejpam-5447	93	7	to	to	PART
ejpam-5447	93	8	examine	examine	VERB
ejpam-5447	93	9	the	the	DET
ejpam-5447	93	10	models	model	NOUN
ejpam-5447	93	11	under	under	ADP
ejpam-5447	93	12	the	the	DET
ejpam-5447	93	13	cf	cf	NOUN
ejpam-5447	93	14	-	-	PUNCT
ejpam-5447	93	15	fractional	fractional	ADJ
ejpam-5447	93	16	derivative	derivative	NOUN
ejpam-5447	93	17	.	.	PUNCT
ejpam-5447	94	1	4	4	X
ejpam-5447	94	2	.	.	X
ejpam-5447	94	3	derivation	derivation	NOUN
ejpam-5447	94	4	simpson’s-1/3	simpson’s-1/3	NUM
ejpam-5447	94	5	rule	rule	NOUN
ejpam-5447	94	6	for	for	ADP
ejpam-5447	94	7	cf	cf	NOUN
ejpam-5447	94	8	-	-	PUNCT
ejpam-5447	94	9	fractional	fractional	ADJ
ejpam-5447	94	10	integral	integral	ADJ
ejpam-5447	94	11	this	this	DET
ejpam-5447	94	12	section	section	NOUN
ejpam-5447	94	13	presents	present	VERB
ejpam-5447	94	14	the	the	DET
ejpam-5447	94	15	formulation	formulation	NOUN
ejpam-5447	94	16	of	of	ADP
ejpam-5447	94	17	the	the	DET
ejpam-5447	94	18	fractional	fractional	ADJ
ejpam-5447	94	19	simpson’s-1/3	simpson’s-1/3	NUM
ejpam-5447	94	20	rule	rule	NOUN
ejpam-5447	94	21	(	(	PUNCT
ejpam-5447	94	22	fsr	fsr	PROPN
ejpam-5447	94	23	)	)	PUNCT
ejpam-5447	94	24	for	for	ADP
ejpam-5447	94	25	solving	solve	VERB
ejpam-5447	94	26	cf	cf	NOUN
ejpam-5447	94	27	-	-	PUNCT
ejpam-5447	94	28	fdes	fde	NOUN
ejpam-5447	94	29	[	[	X
ejpam-5447	94	30	6	6	NUM
ejpam-5447	94	31	]	]	PUNCT
ejpam-5447	94	32	.	.	PUNCT
ejpam-5447	95	1	this	this	DET
ejpam-5447	95	2	aim	aim	NOUN
ejpam-5447	95	3	will	will	AUX
ejpam-5447	95	4	be	be	AUX
ejpam-5447	95	5	achieved	achieve	VERB
ejpam-5447	95	6	through	through	ADP
ejpam-5447	95	7	the	the	DET
ejpam-5447	95	8	following	follow	VERB
ejpam-5447	95	9	steps	step	NOUN
ejpam-5447	95	10	:	:	PUNCT
ejpam-5447	95	11	m.	m.	NOUN
ejpam-5447	95	12	m.	m.	NOUN
ejpam-5447	95	13	khader	khader	PROPN
ejpam-5447	95	14	,	,	PUNCT
ejpam-5447	95	15	m.	m.	NOUN
ejpam-5447	95	16	m.	m.	NOUN
ejpam-5447	95	17	babatin	babatin	PROPN
ejpam-5447	95	18	/	/	SYM
ejpam-5447	95	19	eur	eur	PROPN
ejpam-5447	95	20	.	.	PUNCT
ejpam-5447	96	1	j.	j.	PROPN
ejpam-5447	96	2	pure	pure	PROPN
ejpam-5447	96	3	appl	appl	PROPN
ejpam-5447	96	4	.	.	PROPN
ejpam-5447	96	5	math	math	PROPN
ejpam-5447	96	6	,	,	PUNCT
ejpam-5447	96	7	17	17	NUM
ejpam-5447	96	8	(	(	PUNCT
ejpam-5447	96	9	4	4	NUM
ejpam-5447	96	10	)	)	PUNCT
ejpam-5447	96	11	(	(	PUNCT
ejpam-5447	96	12	2024	2024	NUM
ejpam-5447	96	13	)	)	PUNCT
ejpam-5447	96	14	,	,	PUNCT
ejpam-5447	96	15	3167	3167	NUM
ejpam-5447	96	16	-	-	SYM
ejpam-5447	96	17	3184	3184	NUM
ejpam-5447	96	18	3171	3171	NUM
ejpam-5447	96	19	(	(	PUNCT
ejpam-5447	96	20	i	i	NOUN
ejpam-5447	96	21	)	)	PUNCT
ejpam-5447	96	22	considering	consider	VERB
ejpam-5447	96	23	the	the	DET
ejpam-5447	96	24	subsequent	subsequent	ADJ
ejpam-5447	96	25	γ	γ	NOUN
ejpam-5447	96	26	-	-	PUNCT
ejpam-5447	96	27	order	order	NOUN
ejpam-5447	96	28	ivp	ivp	NOUN
ejpam-5447	96	29	:	:	PUNCT
ejpam-5447	96	30	cfdγu(t	cfdγu(t	ADJ
ejpam-5447	96	31	)	)	PUNCT
ejpam-5447	96	32	=	=	SYM
ejpam-5447	96	33	f(u(t	f(u(t	PROPN
ejpam-5447	96	34	)	)	PUNCT
ejpam-5447	96	35	)	)	PUNCT
ejpam-5447	96	36	,	,	PUNCT
ejpam-5447	96	37	u(0	u(0	PROPN
ejpam-5447	96	38	)	)	PUNCT
ejpam-5447	96	39	=	=	PUNCT
ejpam-5447	97	1	u0	u0	ADJ
ejpam-5447	97	2	.	.	PUNCT
ejpam-5447	98	1	(	(	PUNCT
ejpam-5447	98	2	4	4	NUM
ejpam-5447	98	3	)	)	PUNCT
ejpam-5447	98	4	(	(	PUNCT
ejpam-5447	98	5	ii	ii	NOUN
ejpam-5447	98	6	)	)	PUNCT
ejpam-5447	98	7	applying	apply	VERB
ejpam-5447	98	8	the	the	DET
ejpam-5447	98	9	cf	cf	NOUN
ejpam-5447	98	10	-	-	PUNCT
ejpam-5447	98	11	fractional	fractional	ADJ
ejpam-5447	98	12	integral	integral	ADJ
ejpam-5447	98	13	operator	operator	NOUN
ejpam-5447	98	14	on	on	ADP
ejpam-5447	98	15	the	the	DET
ejpam-5447	98	16	ivp	ivp	NOUN
ejpam-5447	98	17	(	(	PUNCT
ejpam-5447	98	18	4	4	NUM
ejpam-5447	98	19	)	)	PUNCT
ejpam-5447	98	20	and	and	CCONJ
ejpam-5447	98	21	applying	apply	VERB
ejpam-5447	98	22	proposition	proposition	NOUN
ejpam-5447	98	23	3	3	NUM
ejpam-5447	98	24	in	in	ADP
ejpam-5447	98	25	[	[	X
ejpam-5447	98	26	1	1	NUM
ejpam-5447	98	27	]	]	PUNCT
ejpam-5447	98	28	and	and	CCONJ
ejpam-5447	98	29	formula	formula	NOUN
ejpam-5447	98	30	(	(	PUNCT
ejpam-5447	98	31	1	1	NUM
ejpam-5447	98	32	)	)	PUNCT
ejpam-5447	98	33	,	,	PUNCT
ejpam-5447	98	34	we	we	PRON
ejpam-5447	98	35	get	get	VERB
ejpam-5447	98	36	:	:	PUNCT
ejpam-5447	98	37	u(t	u(t	NOUN
ejpam-5447	98	38	)	)	PUNCT
ejpam-5447	98	39	=	=	PUNCT
ejpam-5447	99	1	u0	u0	ADJ
ejpam-5447	99	2	+	+	CCONJ
ejpam-5447	99	3	cf	cf	NOUN
ejpam-5447	99	4	iγf	iγf	NOUN
ejpam-5447	99	5	(	(	PUNCT
ejpam-5447	99	6	u(t	u(t	PROPN
ejpam-5447	99	7	)	)	PUNCT
ejpam-5447	99	8	)	)	PUNCT
ejpam-5447	100	1	=	=	PUNCT
ejpam-5447	100	2	u0	u0	ADJ
ejpam-5447	100	3	+	+	X
ejpam-5447	100	4	(	(	PUNCT
ejpam-5447	100	5	1−	1−	NUM
ejpam-5447	100	6	γ)f(u(t	γ)f(u(t	NOUN
ejpam-5447	100	7	)	)	PUNCT
ejpam-5447	100	8	)	)	PUNCT
ejpam-5447	101	1	+	+	CCONJ
ejpam-5447	101	2	γ	γ	PROPN
ejpam-5447	101	3	∫	∫	PROPN
ejpam-5447	101	4	t	t	PROPN
ejpam-5447	101	5	0	0	NUM
ejpam-5447	101	6	f(u(s))ds	f(u(s))ds	PROPN
ejpam-5447	101	7	.	.	PUNCT
ejpam-5447	102	1	(	(	PUNCT
ejpam-5447	102	2	5	5	NUM
ejpam-5447	102	3	)	)	PUNCT
ejpam-5447	102	4	(	(	PUNCT
ejpam-5447	102	5	iii	iii	NOUN
ejpam-5447	102	6	)	)	PUNCT
ejpam-5447	102	7	initially	initially	ADV
ejpam-5447	102	8	,	,	PUNCT
ejpam-5447	102	9	we	we	PRON
ejpam-5447	102	10	will	will	AUX
ejpam-5447	102	11	employ	employ	VERB
ejpam-5447	102	12	a	a	DET
ejpam-5447	102	13	quadratic	quadratic	ADJ
ejpam-5447	102	14	polynomial	polynomial	ADJ
ejpam-5447	102	15	p2	p2	NOUN
ejpam-5447	102	16	to	to	PART
ejpam-5447	102	17	estimate	estimate	VERB
ejpam-5447	102	18	the	the	DET
ejpam-5447	102	19	integral	integral	ADJ
ejpam-5447	102	20	function	function	NOUN
ejpam-5447	102	21	f	f	PROPN
ejpam-5447	102	22	in	in	ADP
ejpam-5447	102	23	equation	equation	NOUN
ejpam-5447	102	24	(	(	PUNCT
ejpam-5447	102	25	5	5	NUM
ejpam-5447	102	26	)	)	PUNCT
ejpam-5447	102	27	.	.	PUNCT
ejpam-5447	103	1	the	the	DET
ejpam-5447	103	2	function	function	NOUN
ejpam-5447	103	3	will	will	AUX
ejpam-5447	103	4	be	be	AUX
ejpam-5447	103	5	assessed	assess	VERB
ejpam-5447	103	6	at	at	ADP
ejpam-5447	103	7	t0	t0	PROPN
ejpam-5447	103	8	,	,	PUNCT
ejpam-5447	103	9	t1	t1	NOUN
ejpam-5447	103	10	,	,	PUNCT
ejpam-5447	103	11	and	and	CCONJ
ejpam-5447	103	12	t2	t2	NOUN
ejpam-5447	103	13	,	,	PUNCT
ejpam-5447	103	14	where	where	SCONJ
ejpam-5447	103	15	t0	t0	PROPN
ejpam-5447	103	16	is	be	AUX
ejpam-5447	103	17	less	less	ADJ
ejpam-5447	103	18	than	than	ADP
ejpam-5447	103	19	t1	t1	NOUN
ejpam-5447	103	20	and	and	CCONJ
ejpam-5447	103	21	t1	t1	NOUN
ejpam-5447	103	22	is	be	AUX
ejpam-5447	103	23	less	less	ADJ
ejpam-5447	103	24	than	than	ADP
ejpam-5447	103	25	t2	t2	NOUN
ejpam-5447	103	26	.	.	PUNCT
ejpam-5447	104	1	the	the	DET
ejpam-5447	104	2	interval	interval	NOUN
ejpam-5447	104	3	is	be	AUX
ejpam-5447	104	4	partitioned	partition	VERB
ejpam-5447	104	5	into	into	ADP
ejpam-5447	104	6	two	two	NUM
ejpam-5447	104	7	subintervals	subinterval	NOUN
ejpam-5447	104	8	,	,	PUNCT
ejpam-5447	104	9	denoted	denote	VERB
ejpam-5447	104	10	as	as	ADP
ejpam-5447	104	11	t1	t1	NOUN
ejpam-5447	104	12	−	−	PROPN
ejpam-5447	104	13	t0	t0	PROPN
ejpam-5447	104	14	=	=	SYM
ejpam-5447	104	15	t2	t2	PROPN
ejpam-5447	104	16	−	−	PROPN
ejpam-5447	104	17	t1	t1	NOUN
ejpam-5447	104	18	=	=	SYM
ejpam-5447	104	19	h	h	NOUN
ejpam-5447	104	20	,	,	PUNCT
ejpam-5447	104	21	resulting	result	VERB
ejpam-5447	104	22	in	in	ADP
ejpam-5447	104	23	a	a	DET
ejpam-5447	104	24	combined	combine	VERB
ejpam-5447	104	25	width	width	NOUN
ejpam-5447	104	26	of	of	ADP
ejpam-5447	104	27	2h	2h	NUM
ejpam-5447	104	28	.	.	PUNCT
ejpam-5447	105	1	the	the	DET
ejpam-5447	105	2	integration	integration	NOUN
ejpam-5447	105	3	of	of	ADP
ejpam-5447	105	4	the	the	DET
ejpam-5447	105	5	quadratic	quadratic	ADJ
ejpam-5447	105	6	polynomial	polynomial	ADJ
ejpam-5447	105	7	p2	p2	NOUN
ejpam-5447	105	8	can	can	AUX
ejpam-5447	105	9	be	be	AUX
ejpam-5447	105	10	computed	compute	VERB
ejpam-5447	105	11	as	as	SCONJ
ejpam-5447	105	12	follows	follow	VERB
ejpam-5447	105	13	:	:	PUNCT
ejpam-5447	105	14	i2f(u(t	i2f(u(t	NOUN
ejpam-5447	105	15	)	)	PUNCT
ejpam-5447	105	16	)	)	PUNCT
ejpam-5447	106	1	=	=	SYM
ejpam-5447	106	2	∫	∫	PROPN
ejpam-5447	106	3	b	b	PROPN
ejpam-5447	106	4	a	a	DET
ejpam-5447	106	5	f(u(t))dt	f(u(t))dt	NOUN
ejpam-5447	107	1	≈	≈	PROPN
ejpam-5447	107	2	∫	∫	PROPN
ejpam-5447	107	3	t2	t2	PROPN
ejpam-5447	107	4	t0	t0	PROPN
ejpam-5447	107	5	p2(u(t))dt	p2(u(t))dt	PUNCT
ejpam-5447	108	1	=	=	SYM
ejpam-5447	108	2	∫	∫	PROPN
ejpam-5447	108	3	t2	t2	PROPN
ejpam-5447	108	4	t0	t0	PROPN
ejpam-5447	108	5			PROPN
ejpam-5447	108	6	2∑	2∑	NUM
ejpam-5447	108	7	j=0	j=0	PROPN
ejpam-5447	108	8	lj(t	lj(t	PUNCT
ejpam-5447	108	9	)	)	PUNCT
ejpam-5447	108	10	f	f	PROPN
ejpam-5447	108	11	(	(	PUNCT
ejpam-5447	108	12	u	u	NOUN
ejpam-5447	108	13	(	(	PUNCT
ejpam-5447	108	14	tj	tj	NOUN
ejpam-5447	108	15	)	)	PUNCT
ejpam-5447	108	16	)	)	PUNCT
ejpam-5447	108	17			NOUN
ejpam-5447	108	18	dt	dt	PROPN
ejpam-5447	108	19	,	,	PUNCT
ejpam-5447	108	20	where	where	SCONJ
ejpam-5447	108	21	the	the	DET
ejpam-5447	108	22	second	second	ADJ
ejpam-5447	108	23	-	-	PUNCT
ejpam-5447	108	24	order	order	NOUN
ejpam-5447	108	25	lagrange	lagrange	NOUN
ejpam-5447	108	26	polynomials	polynomial	NOUN
ejpam-5447	108	27	l0(t	l0(t	NOUN
ejpam-5447	108	28	)	)	PUNCT
ejpam-5447	108	29	,	,	PUNCT
ejpam-5447	108	30	l1(t	l1(t	PROPN
ejpam-5447	108	31	)	)	PUNCT
ejpam-5447	108	32	,	,	PUNCT
ejpam-5447	108	33	and	and	CCONJ
ejpam-5447	108	34	l2(t	l2(t	PROPN
ejpam-5447	108	35	)	)	PUNCT
ejpam-5447	108	36	are	be	AUX
ejpam-5447	108	37	defined	define	VERB
ejpam-5447	108	38	as	as	SCONJ
ejpam-5447	108	39	follows	follow	VERB
ejpam-5447	108	40	:	:	PUNCT
ejpam-5447	108	41	lj(t	lj(t	PUNCT
ejpam-5447	108	42	)	)	PUNCT
ejpam-5447	109	1	=	=	SYM
ejpam-5447	110	1	2∏	2∏	NUM
ejpam-5447	110	2	i=0	i=0	PROPN
ejpam-5447	110	3	,	,	PUNCT
ejpam-5447	110	4	i	i	PRON
ejpam-5447	110	5	̸=	̸=	PROPN
ejpam-5447	110	6	j	j	PROPN
ejpam-5447	110	7	(	(	PUNCT
ejpam-5447	110	8	t−	t−	PROPN
ejpam-5447	110	9	ti	ti	NOUN
ejpam-5447	110	10	)	)	PUNCT
ejpam-5447	110	11	(	(	PUNCT
ejpam-5447	110	12	tj	tj	NOUN
ejpam-5447	110	13	−	−	NOUN
ejpam-5447	110	14	ti	ti	NOUN
ejpam-5447	110	15	)	)	PUNCT
ejpam-5447	110	16	.	.	PUNCT
ejpam-5447	111	1	(	(	PUNCT
ejpam-5447	111	2	iv	iv	X
ejpam-5447	111	3	)	)	PUNCT
ejpam-5447	111	4	integrating	integrate	VERB
ejpam-5447	111	5	the	the	DET
ejpam-5447	111	6	first	first	ADJ
ejpam-5447	111	7	interpolant	interpolant	NOUN
ejpam-5447	111	8	function	function	NOUN
ejpam-5447	111	9	l0(t	l0(t	PROPN
ejpam-5447	111	10	)	)	PUNCT
ejpam-5447	111	11	,	,	PUNCT
ejpam-5447	111	12	by	by	ADP
ejpam-5447	111	13	taking	take	VERB
ejpam-5447	111	14	h	h	NOUN
ejpam-5447	111	15	=	=	NOUN
ejpam-5447	111	16	t2−t0	t2−t0	NUM
ejpam-5447	111	17	2	2	NUM
ejpam-5447	111	18	and	and	CCONJ
ejpam-5447	111	19	substituting	substitute	VERB
ejpam-5447	111	20	”	"	PUNCT
ejpam-5447	111	21	t	t	PROPN
ejpam-5447	111	22	=	=	PUNCT
ejpam-5447	111	23	s+	s+	NUM
ejpam-5447	111	24	t0	t0	PROPN
ejpam-5447	111	25	”	"	PUNCT
ejpam-5447	111	26	,	,	PUNCT
ejpam-5447	111	27	gives	give	VERB
ejpam-5447	111	28	us:∫	us:∫	ADP
ejpam-5447	111	29	t2	t2	NOUN
ejpam-5447	111	30	t0	t0	PROPN
ejpam-5447	111	31	l0(t)dt	l0(t)dt	X
ejpam-5447	112	1	=	=	SYM
ejpam-5447	112	2	1	1	NUM
ejpam-5447	112	3	2h2	2h2	NUM
ejpam-5447	112	4	∫	∫	PROPN
ejpam-5447	112	5	t0	t0	PROPN
ejpam-5447	113	1	+	+	PROPN
ejpam-5447	113	2	2h	2h	NUM
ejpam-5447	113	3	t0	t0	NOUN
ejpam-5447	113	4	(	(	PUNCT
ejpam-5447	113	5	t−	t−	PROPN
ejpam-5447	113	6	t1	t1	NOUN
ejpam-5447	113	7	)	)	PUNCT
ejpam-5447	113	8	(	(	PUNCT
ejpam-5447	113	9	t−	t−	PROPN
ejpam-5447	113	10	t2	t2	NOUN
ejpam-5447	113	11	)	)	PUNCT
ejpam-5447	113	12	dt	dt	NOUN
ejpam-5447	114	1	=	=	NOUN
ejpam-5447	114	2	1	1	NUM
ejpam-5447	114	3	2h2	2h2	NUM
ejpam-5447	114	4	∫	∫	PROPN
ejpam-5447	114	5	2h	2h	NUM
ejpam-5447	114	6	0	0	PUNCT
ejpam-5447	114	7	(	(	PUNCT
ejpam-5447	114	8	s+	s+	NUM
ejpam-5447	114	9	t0	t0	PROPN
ejpam-5447	114	10	−	−	PROPN
ejpam-5447	114	11	t2	t2	PROPN
ejpam-5447	114	12	)	)	PUNCT
ejpam-5447	114	13	(	(	PUNCT
ejpam-5447	114	14	s+	s+	NUM
ejpam-5447	115	1	t0	t0	PROPN
ejpam-5447	115	2	−	−	PROPN
ejpam-5447	115	3	t1	t1	NOUN
ejpam-5447	115	4	)	)	PUNCT
ejpam-5447	115	5	ds	ds	NOUN
ejpam-5447	115	6	=	=	SYM
ejpam-5447	115	7	1	1	NUM
ejpam-5447	115	8	2h2	2h2	NUM
ejpam-5447	115	9	∫	∫	PROPN
ejpam-5447	115	10	2h	2h	NUM
ejpam-5447	115	11	0	0	PUNCT
ejpam-5447	115	12	(	(	PUNCT
ejpam-5447	115	13	s−	s−	PROPN
ejpam-5447	115	14	2h)(s−	2h)(s−	NUM
ejpam-5447	115	15	h)ds	h)ds	PROPN
ejpam-5447	115	16	=	=	SYM
ejpam-5447	115	17	h	h	NOUN
ejpam-5447	115	18	3	3	NUM
ejpam-5447	115	19	.	.	PUNCT
ejpam-5447	116	1	after	after	ADP
ejpam-5447	116	2	making	make	VERB
ejpam-5447	116	3	some	some	DET
ejpam-5447	116	4	simplifications	simplification	NOUN
ejpam-5447	116	5	to	to	ADP
ejpam-5447	116	6	the	the	DET
ejpam-5447	116	7	rest	rest	NOUN
ejpam-5447	116	8	of	of	ADP
ejpam-5447	116	9	the	the	DET
ejpam-5447	116	10	terms	term	NOUN
ejpam-5447	116	11	,	,	PUNCT
ejpam-5447	116	12	we	we	PRON
ejpam-5447	116	13	have	have	VERB
ejpam-5447	116	14	the	the	DET
ejpam-5447	116	15	following	follow	VERB
ejpam-5447	116	16	:	:	PUNCT
ejpam-5447	116	17	i2(f	i2(f	X
ejpam-5447	116	18	)	)	PUNCT
ejpam-5447	116	19	=	=	SYM
ejpam-5447	116	20	h	h	NOUN
ejpam-5447	116	21	3	3	NUM
ejpam-5447	117	1	[	[	X
ejpam-5447	117	2	f	f	X
ejpam-5447	117	3	(	(	PUNCT
ejpam-5447	117	4	u	u	PROPN
ejpam-5447	117	5	(	(	PUNCT
ejpam-5447	117	6	t0	t0	NOUN
ejpam-5447	117	7	)	)	PUNCT
ejpam-5447	117	8	)	)	PUNCT
ejpam-5447	118	1	+	+	CCONJ
ejpam-5447	118	2	4f	4f	NUM
ejpam-5447	118	3	(	(	PUNCT
ejpam-5447	118	4	u	u	NOUN
ejpam-5447	118	5	(	(	PUNCT
ejpam-5447	118	6	t1	t1	NOUN
ejpam-5447	118	7	)	)	PUNCT
ejpam-5447	118	8	)	)	PUNCT
ejpam-5447	119	1	+	+	CCONJ
ejpam-5447	119	2	f	f	X
ejpam-5447	119	3	(	(	PUNCT
ejpam-5447	119	4	u	u	NOUN
ejpam-5447	119	5	(	(	PUNCT
ejpam-5447	119	6	t2	t2	PROPN
ejpam-5447	119	7	)	)	PUNCT
ejpam-5447	119	8	)	)	PUNCT
ejpam-5447	119	9	]	]	PUNCT
ejpam-5447	119	10	.	.	PUNCT
ejpam-5447	120	1	(	(	PUNCT
ejpam-5447	120	2	v	v	NOUN
ejpam-5447	120	3	)	)	PUNCT
ejpam-5447	120	4	by	by	ADP
ejpam-5447	120	5	substituting	substitute	VERB
ejpam-5447	120	6	in	in	ADP
ejpam-5447	120	7	the	the	DET
ejpam-5447	120	8	equation	equation	NOUN
ejpam-5447	120	9	(	(	PUNCT
ejpam-5447	120	10	5	5	NUM
ejpam-5447	120	11	)	)	PUNCT
ejpam-5447	120	12	,	,	PUNCT
ejpam-5447	120	13	we	we	PRON
ejpam-5447	120	14	get	get	VERB
ejpam-5447	120	15	:	:	PUNCT
ejpam-5447	120	16	u	u	NOUN
ejpam-5447	120	17	(	(	PUNCT
ejpam-5447	120	18	tn	tn	NOUN
ejpam-5447	120	19	)	)	PUNCT
ejpam-5447	120	20	=	=	PUNCT
ejpam-5447	121	1	u0	u0	ADJ
ejpam-5447	121	2	+	+	X
ejpam-5447	121	3	(	(	PUNCT
ejpam-5447	121	4	1−	1−	NUM
ejpam-5447	121	5	γ)f	γ)f	NOUN
ejpam-5447	121	6	(	(	PUNCT
ejpam-5447	121	7	u	u	NOUN
ejpam-5447	121	8	(	(	PUNCT
ejpam-5447	121	9	tn	tn	NOUN
ejpam-5447	121	10	)	)	PUNCT
ejpam-5447	121	11	)	)	PUNCT
ejpam-5447	122	1	+	+	CCONJ
ejpam-5447	122	2	h	h	NOUN
ejpam-5447	122	3	3	3	NUM
ejpam-5447	123	1	[	[	X
ejpam-5447	123	2	f	f	X
ejpam-5447	123	3	(	(	PUNCT
ejpam-5447	123	4	u	u	PROPN
ejpam-5447	123	5	(	(	PUNCT
ejpam-5447	123	6	t0	t0	NOUN
ejpam-5447	123	7	)	)	PUNCT
ejpam-5447	123	8	)	)	PUNCT
ejpam-5447	124	1	+	+	CCONJ
ejpam-5447	124	2	4f	4f	NUM
ejpam-5447	124	3	(	(	PUNCT
ejpam-5447	124	4	u	u	NOUN
ejpam-5447	124	5	(	(	PUNCT
ejpam-5447	124	6	t1	t1	NOUN
ejpam-5447	124	7	)	)	PUNCT
ejpam-5447	124	8	)	)	PUNCT
ejpam-5447	125	1	+	+	CCONJ
ejpam-5447	125	2	f	f	X
ejpam-5447	125	3	(	(	PUNCT
ejpam-5447	125	4	u	u	NOUN
ejpam-5447	125	5	(	(	PUNCT
ejpam-5447	125	6	t2	t2	PROPN
ejpam-5447	125	7	)	)	PUNCT
ejpam-5447	125	8	)	)	PUNCT
ejpam-5447	125	9	]	]	PUNCT
ejpam-5447	125	10	,	,	PUNCT
ejpam-5447	125	11	n	n	NOUN
ejpam-5447	125	12	=	=	SYM
ejpam-5447	125	13	0	0	NUM
ejpam-5447	125	14	,	,	PUNCT
ejpam-5447	125	15	1	1	NUM
ejpam-5447	125	16	,	,	PUNCT
ejpam-5447	125	17	2	2	NUM
ejpam-5447	125	18	.	.	PUNCT
ejpam-5447	125	19	m.	m.	NOUN
ejpam-5447	125	20	m.	m.	PROPN
ejpam-5447	125	21	khader	khader	PROPN
ejpam-5447	125	22	,	,	PUNCT
ejpam-5447	125	23	m.	m.	NOUN
ejpam-5447	125	24	m.	m.	NOUN
ejpam-5447	125	25	babatin	babatin	PROPN
ejpam-5447	125	26	/	/	SYM
ejpam-5447	125	27	eur	eur	PROPN
ejpam-5447	125	28	.	.	PUNCT
ejpam-5447	126	1	j.	j.	PROPN
ejpam-5447	126	2	pure	pure	PROPN
ejpam-5447	126	3	appl	appl	PROPN
ejpam-5447	126	4	.	.	PROPN
ejpam-5447	126	5	math	math	PROPN
ejpam-5447	126	6	,	,	PUNCT
ejpam-5447	126	7	17	17	NUM
ejpam-5447	126	8	(	(	PUNCT
ejpam-5447	126	9	4	4	NUM
ejpam-5447	126	10	)	)	PUNCT
ejpam-5447	126	11	(	(	PUNCT
ejpam-5447	126	12	2024	2024	NUM
ejpam-5447	126	13	)	)	PUNCT
ejpam-5447	126	14	,	,	PUNCT
ejpam-5447	126	15	3167	3167	NUM
ejpam-5447	126	16	-	-	SYM
ejpam-5447	126	17	3184	3184	NUM
ejpam-5447	126	18	3172	3172	NUM
ejpam-5447	126	19	(	(	PUNCT
ejpam-5447	126	20	vi	vi	NOUN
ejpam-5447	126	21	)	)	PUNCT
ejpam-5447	126	22	to	to	PART
ejpam-5447	126	23	improve	improve	VERB
ejpam-5447	126	24	the	the	DET
ejpam-5447	126	25	accuracy	accuracy	NOUN
ejpam-5447	126	26	of	of	ADP
ejpam-5447	126	27	numerical	numerical	ADJ
ejpam-5447	126	28	integration	integration	NOUN
ejpam-5447	126	29	,	,	PUNCT
ejpam-5447	126	30	we	we	PRON
ejpam-5447	126	31	partition	partition	VERB
ejpam-5447	126	32	[	[	X
ejpam-5447	126	33	a	a	X
ejpam-5447	126	34	,	,	PUNCT
ejpam-5447	126	35	b	b	NOUN
ejpam-5447	126	36	]	]	X
ejpam-5447	126	37	to	to	ADP
ejpam-5447	126	38	n	n	PROPN
ejpam-5447	126	39	subintervals	subinterval	NOUN
ejpam-5447	126	40	as	as	SCONJ
ejpam-5447	126	41	follows	follow	VERB
ejpam-5447	126	42	:	:	PUNCT
ejpam-5447	126	43	for	for	ADP
ejpam-5447	126	44	any	any	DET
ejpam-5447	126	45	even	even	ADJ
ejpam-5447	126	46	number	number	NOUN
ejpam-5447	126	47	n	n	CCONJ
ejpam-5447	126	48	≥	≥	NOUN
ejpam-5447	126	49	2	2	NUM
ejpam-5447	126	50	,	,	PUNCT
ejpam-5447	126	51	we	we	PRON
ejpam-5447	126	52	establish	establish	VERB
ejpam-5447	126	53	the	the	DET
ejpam-5447	126	54	following	follow	VERB
ejpam-5447	126	55	definitions	definition	NOUN
ejpam-5447	126	56	:	:	PUNCT
ejpam-5447	126	57	h	h	NOUN
ejpam-5447	126	58	=	=	PUNCT
ejpam-5447	126	59	b−	b−	PROPN
ejpam-5447	126	60	a	a	PRON
ejpam-5447	126	61	n	n	NOUN
ejpam-5447	126	62	=	=	SYM
ejpam-5447	126	63	tk+1	tk+1	NUM
ejpam-5447	126	64	−	−	PROPN
ejpam-5447	126	65	tk	tk	PROPN
ejpam-5447	126	66	,	,	PUNCT
ejpam-5447	126	67	k	k	PROPN
ejpam-5447	126	68	=	=	SYM
ejpam-5447	126	69	0	0	NUM
ejpam-5447	126	70	,	,	PUNCT
ejpam-5447	126	71	1	1	NUM
ejpam-5447	126	72	,	,	PUNCT
ejpam-5447	126	73	2	2	NUM
ejpam-5447	126	74	,	,	PUNCT
ejpam-5447	126	75	.	.	PUNCT
ejpam-5447	126	76	.	.	PUNCT
ejpam-5447	127	1	.	.	PUNCT
ejpam-5447	128	1	,	,	PUNCT
ejpam-5447	128	2	n.	n.	PROPN
ejpam-5447	128	3	now	now	ADV
ejpam-5447	128	4	,	,	PUNCT
ejpam-5447	128	5	by	by	ADP
ejpam-5447	128	6	using	use	VERB
ejpam-5447	128	7	the	the	DET
ejpam-5447	128	8	quadrature	quadrature	NOUN
ejpam-5447	128	9	rule	rule	NOUN
ejpam-5447	128	10	for	for	ADP
ejpam-5447	128	11	each	each	DET
ejpam-5447	128	12	pair	pair	NOUN
ejpam-5447	128	13	of	of	ADP
ejpam-5447	128	14	subintervals	subinterval	NOUN
ejpam-5447	128	15	and	and	CCONJ
ejpam-5447	128	16	implementing	implement	VERB
ejpam-5447	128	17	the	the	DET
ejpam-5447	128	18	simpson’s-1/3	simpson’s-1/3	ADJ
ejpam-5447	128	19	rule	rule	NOUN
ejpam-5447	128	20	to	to	ADP
ejpam-5447	128	21	each	each	PRON
ejpam-5447	128	22	of	of	ADP
ejpam-5447	128	23	[	[	PUNCT
ejpam-5447	128	24	t2k	t2k	PROPN
ejpam-5447	128	25	,	,	PUNCT
ejpam-5447	128	26	t2(k+1	t2(k+1	PROPN
ejpam-5447	128	27	)	)	PUNCT
ejpam-5447	128	28	]	]	PUNCT
ejpam-5447	128	29	,	,	PUNCT
ejpam-5447	128	30	k	k	X
ejpam-5447	128	31	=	=	SYM
ejpam-5447	128	32	0	0	NUM
ejpam-5447	128	33	,	,	PUNCT
ejpam-5447	128	34	1	1	NUM
ejpam-5447	128	35	,	,	PUNCT
ejpam-5447	128	36	2	2	NUM
ejpam-5447	128	37	,	,	PUNCT
ejpam-5447	128	38	.	.	PUNCT
ejpam-5447	128	39	.	.	PUNCT
ejpam-5447	129	1	.	.	PUNCT
ejpam-5447	130	1	,	,	PUNCT
ejpam-5447	130	2	n−2	n−2	PROPN
ejpam-5447	130	3	2	2	NUM
ejpam-5447	130	4	,	,	PUNCT
ejpam-5447	130	5	we	we	PRON
ejpam-5447	130	6	can	can	AUX
ejpam-5447	130	7	appoint	appoint	VERB
ejpam-5447	130	8	the	the	DET
ejpam-5447	130	9	following	follow	VERB
ejpam-5447	130	10	formula	formula	NOUN
ejpam-5447	130	11	:	:	PUNCT
ejpam-5447	130	12	in(f	in(f	X
ejpam-5447	130	13	)	)	PUNCT
ejpam-5447	131	1	=	=	SYM
ejpam-5447	131	2	n−2	n−2	PROPN
ejpam-5447	131	3	2∑	2∑	X
ejpam-5447	131	4	k=0	k=0	PROPN
ejpam-5447	131	5	∫	∫	PROPN
ejpam-5447	132	1	t2k+2	t2k+2	PROPN
ejpam-5447	132	2	t2k	t2k	NOUN
ejpam-5447	132	3	f(u(t))dt	f(u(t))dt	NOUN
ejpam-5447	133	1	=	=	SYM
ejpam-5447	133	2	n−2	n−2	PROPN
ejpam-5447	133	3	2∑	2∑	NUM
ejpam-5447	133	4	k=0	k=0	PROPN
ejpam-5447	133	5	(	(	PUNCT
ejpam-5447	133	6	h	h	NOUN
ejpam-5447	133	7	3	3	NUM
ejpam-5447	134	1	[	[	X
ejpam-5447	134	2	f	f	X
ejpam-5447	134	3	(	(	PUNCT
ejpam-5447	134	4	u	u	PROPN
ejpam-5447	134	5	(	(	PUNCT
ejpam-5447	134	6	t2k	t2k	PROPN
ejpam-5447	134	7	)	)	PUNCT
ejpam-5447	134	8	)	)	PUNCT
ejpam-5447	135	1	+	+	CCONJ
ejpam-5447	135	2	4f	4f	NUM
ejpam-5447	135	3	(	(	PUNCT
ejpam-5447	135	4	u	u	NOUN
ejpam-5447	135	5	(	(	PUNCT
ejpam-5447	135	6	t2k+1	t2k+1	NOUN
ejpam-5447	135	7	)	)	PUNCT
ejpam-5447	135	8	)	)	PUNCT
ejpam-5447	136	1	+	+	CCONJ
ejpam-5447	136	2	f	f	X
ejpam-5447	136	3	(	(	PUNCT
ejpam-5447	136	4	u	u	NOUN
ejpam-5447	136	5	(	(	PUNCT
ejpam-5447	136	6	t2k+2	t2k+2	NOUN
ejpam-5447	136	7	)	)	PUNCT
ejpam-5447	136	8	)	)	PUNCT
ejpam-5447	136	9	]	]	PUNCT
ejpam-5447	136	10	)	)	PUNCT
ejpam-5447	136	11	.	.	PUNCT
ejpam-5447	137	1	(	(	PUNCT
ejpam-5447	137	2	vii	vii	PROPN
ejpam-5447	137	3	)	)	PUNCT
ejpam-5447	137	4	by	by	ADP
ejpam-5447	137	5	referring	refer	VERB
ejpam-5447	137	6	uj	uj	PROPN
ejpam-5447	137	7	as	as	ADP
ejpam-5447	137	8	the	the	DET
ejpam-5447	137	9	approximate	approximate	ADJ
ejpam-5447	137	10	solution	solution	NOUN
ejpam-5447	137	11	of	of	ADP
ejpam-5447	137	12	u	u	PROPN
ejpam-5447	137	13	(	(	PUNCT
ejpam-5447	137	14	tj	tj	NOUN
ejpam-5447	137	15	)	)	PUNCT
ejpam-5447	137	16	and	and	CCONJ
ejpam-5447	137	17	using	use	VERB
ejpam-5447	137	18	eq.(5	eq.(5	NOUN
ejpam-5447	137	19	)	)	PUNCT
ejpam-5447	137	20	,	,	PUNCT
ejpam-5447	137	21	we	we	PRON
ejpam-5447	137	22	can	can	AUX
ejpam-5447	137	23	write	write	VERB
ejpam-5447	137	24	the	the	DET
ejpam-5447	137	25	fsr	fsr	PROPN
ejpam-5447	137	26	for	for	ADP
ejpam-5447	137	27	the	the	DET
ejpam-5447	137	28	cf	cf	NOUN
ejpam-5447	137	29	-	-	PUNCT
ejpam-5447	137	30	fde	fde	NOUN
ejpam-5447	137	31	(	(	PUNCT
ejpam-5447	137	32	4	4	NUM
ejpam-5447	137	33	)	)	PUNCT
ejpam-5447	137	34	,	,	PUNCT
ejpam-5447	137	35	for	for	ADP
ejpam-5447	137	36	j	j	PROPN
ejpam-5447	138	1	=	=	NOUN
ejpam-5447	138	2	0[1](n−	0[1](n−	NUM
ejpam-5447	138	3	1	1	NUM
ejpam-5447	138	4	):	):	PUNCT
ejpam-5447	138	5	uj+1	uj+1	X
ejpam-5447	138	6	=	=	SYM
ejpam-5447	138	7	u0+(1−γ)f	u0+(1−γ)f	PROPN
ejpam-5447	138	8	(	(	PUNCT
ejpam-5447	138	9	uj+1)+γ	uj+1)+γ	PUNCT
ejpam-5447	138	10	h	h	NOUN
ejpam-5447	138	11	3	3	NUM
ejpam-5447	138	12	f	f	PUNCT
ejpam-5447	138	13	(	(	PUNCT
ejpam-5447	138	14	u	u	PROPN
ejpam-5447	138	15	(	(	PUNCT
ejpam-5447	138	16	t0	t0	NOUN
ejpam-5447	138	17	)	)	PUNCT
ejpam-5447	138	18	)	)	PUNCT
ejpam-5447	139	1	+	+	CCONJ
ejpam-5447	139	2	4	4	NUM
ejpam-5447	139	3	j∑	j∑	NOUN
ejpam-5447	139	4	i=2,4,6	i=2,4,6	NUM
ejpam-5447	139	5	f	f	X
ejpam-5447	139	6	(	(	PUNCT
ejpam-5447	139	7	u	u	NOUN
ejpam-5447	139	8	(	(	PUNCT
ejpam-5447	139	9	ti	ti	NOUN
ejpam-5447	139	10	)	)	PUNCT
ejpam-5447	139	11	)	)	PUNCT
ejpam-5447	140	1	+	+	CCONJ
ejpam-5447	140	2	2	2	NUM
ejpam-5447	140	3	j−1∑	j−1∑	NOUN
ejpam-5447	140	4	j=1,3,5	j=1,3,5	X
ejpam-5447	140	5	f	f	X
ejpam-5447	140	6	(	(	PUNCT
ejpam-5447	140	7	u	u	NOUN
ejpam-5447	140	8	(	(	PUNCT
ejpam-5447	140	9	tj	tj	NOUN
ejpam-5447	140	10	)	)	PUNCT
ejpam-5447	140	11	)	)	PUNCT
ejpam-5447	141	1	+	+	CCONJ
ejpam-5447	141	2	f	f	X
ejpam-5447	141	3	(	(	PUNCT
ejpam-5447	141	4	u	u	NOUN
ejpam-5447	141	5	(	(	PUNCT
ejpam-5447	141	6	tj+1	tj+1	PROPN
ejpam-5447	141	7	)	)	PUNCT
ejpam-5447	141	8	)	)	PUNCT
ejpam-5447	141	9			NOUN
ejpam-5447	141	10	.	.	PUNCT
ejpam-5447	142	1	this	this	DET
ejpam-5447	142	2	formula	formula	NOUN
ejpam-5447	142	3	can	can	AUX
ejpam-5447	142	4	be	be	AUX
ejpam-5447	142	5	rewritten	rewrite	VERB
ejpam-5447	142	6	in	in	ADP
ejpam-5447	142	7	a	a	DET
ejpam-5447	142	8	compact	compact	ADJ
ejpam-5447	142	9	form	form	NOUN
ejpam-5447	142	10	as	as	SCONJ
ejpam-5447	142	11	follows	follow	VERB
ejpam-5447	142	12	:	:	PUNCT
ejpam-5447	142	13	uj+1	uj+1	NUM
ejpam-5447	142	14	=	=	PUNCT
ejpam-5447	142	15	u0	u0	ADJ
ejpam-5447	142	16	+	+	CCONJ
ejpam-5447	142	17	(	(	PUNCT
ejpam-5447	142	18	1−	1−	NUM
ejpam-5447	142	19	γ	γ	X
ejpam-5447	142	20	)	)	PUNCT
ejpam-5447	142	21	f	f	NOUN
ejpam-5447	142	22	(	(	PUNCT
ejpam-5447	142	23	uj+1	uj+1	PROPN
ejpam-5447	142	24	)	)	PUNCT
ejpam-5447	142	25	+	+	CCONJ
ejpam-5447	142	26	γ	γ	PROPN
ejpam-5447	142	27	h	h	NOUN
ejpam-5447	142	28	j+1∑	j+1∑	PROPN
ejpam-5447	142	29	r=0	r=0	PROPN
ejpam-5447	142	30	ξr	ξr	PROPN
ejpam-5447	142	31	f	f	PROPN
ejpam-5447	142	32	(	(	PUNCT
ejpam-5447	142	33	ur	ur	INTJ
ejpam-5447	142	34	)	)	PUNCT
ejpam-5447	142	35	,	,	PUNCT
ejpam-5447	142	36	j	j	PROPN
ejpam-5447	143	1	=	=	SYM
ejpam-5447	143	2	0	0	NUM
ejpam-5447	143	3	,	,	PUNCT
ejpam-5447	143	4	1	1	NUM
ejpam-5447	143	5	,	,	PUNCT
ejpam-5447	143	6	2	2	NUM
ejpam-5447	143	7	,	,	PUNCT
ejpam-5447	143	8	.	.	PUNCT
ejpam-5447	143	9	.	.	PUNCT
ejpam-5447	144	1	.	.	PUNCT
ejpam-5447	145	1	,	,	PUNCT
ejpam-5447	145	2	n−	n−	NOUN
ejpam-5447	145	3	1	1	NUM
ejpam-5447	145	4	,	,	PUNCT
ejpam-5447	145	5	(	(	PUNCT
ejpam-5447	145	6	6	6	NUM
ejpam-5447	145	7	)	)	PUNCT
ejpam-5447	145	8	where	where	SCONJ
ejpam-5447	145	9	ξr	ξr	PRON
ejpam-5447	145	10	are	be	AUX
ejpam-5447	145	11	the	the	DET
ejpam-5447	145	12	weights	weight	NOUN
ejpam-5447	145	13	of	of	ADP
ejpam-5447	145	14	the	the	DET
ejpam-5447	145	15	fsr	fsr	NOUN
ejpam-5447	145	16	and	and	CCONJ
ejpam-5447	145	17	are	be	AUX
ejpam-5447	145	18	defined	define	VERB
ejpam-5447	145	19	as	as	ADP
ejpam-5447	145	20	:	:	PUNCT
ejpam-5447	145	21	ξr	ξr	X
ejpam-5447	145	22	=	=	SYM
ejpam-5447	145	23			PROPN
ejpam-5447	145	24	1/3	1/3	NUM
ejpam-5447	145	25	,	,	PUNCT
ejpam-5447	145	26	r	r	NOUN
ejpam-5447	145	27	=	=	SYM
ejpam-5447	145	28	0	0	NUM
ejpam-5447	145	29	,	,	PUNCT
ejpam-5447	145	30	n+	n+	PUNCT
ejpam-5447	145	31	1	1	NUM
ejpam-5447	145	32	,	,	PUNCT
ejpam-5447	145	33	2/3	2/3	NUM
ejpam-5447	145	34	,	,	PUNCT
ejpam-5447	145	35	r	r	NOUN
ejpam-5447	145	36	=	=	SYM
ejpam-5447	145	37	1	1	NUM
ejpam-5447	145	38	,	,	PUNCT
ejpam-5447	145	39	3	3	NUM
ejpam-5447	145	40	,	,	PUNCT
ejpam-5447	145	41	5	5	NUM
ejpam-5447	145	42	,	,	PUNCT
ejpam-5447	145	43	.	.	PUNCT
ejpam-5447	145	44	.	.	PUNCT
ejpam-5447	146	1	.	.	PUNCT
ejpam-5447	147	1	,	,	PUNCT
ejpam-5447	147	2	4/3	4/3	NUM
ejpam-5447	147	3	,	,	PUNCT
ejpam-5447	147	4	r	r	NOUN
ejpam-5447	147	5	=	=	SYM
ejpam-5447	147	6	2	2	NUM
ejpam-5447	147	7	,	,	PUNCT
ejpam-5447	147	8	4	4	NUM
ejpam-5447	147	9	,	,	PUNCT
ejpam-5447	147	10	6	6	NUM
ejpam-5447	147	11	,	,	PUNCT
ejpam-5447	147	12	.	.	PUNCT
ejpam-5447	147	13	.	.	PUNCT
ejpam-5447	147	14	.	.	PUNCT
ejpam-5447	147	15	.	.	PUNCT
ejpam-5447	148	1	5	5	X
ejpam-5447	148	2	.	.	X
ejpam-5447	148	3	convergence	convergence	NOUN
ejpam-5447	148	4	analysis	analysis	NOUN
ejpam-5447	148	5	in	in	ADP
ejpam-5447	148	6	this	this	DET
ejpam-5447	148	7	section	section	NOUN
ejpam-5447	148	8	,	,	PUNCT
ejpam-5447	148	9	we	we	PRON
ejpam-5447	148	10	are	be	AUX
ejpam-5447	148	11	going	go	VERB
ejpam-5447	148	12	to	to	PART
ejpam-5447	148	13	collect	collect	VERB
ejpam-5447	148	14	some	some	DET
ejpam-5447	148	15	theorems	theorem	NOUN
ejpam-5447	148	16	concerning	concern	VERB
ejpam-5447	148	17	the	the	DET
ejpam-5447	148	18	stability	stability	NOUN
ejpam-5447	148	19	and	and	CCONJ
ejpam-5447	148	20	error	error	NOUN
ejpam-5447	148	21	analysis	analysis	NOUN
ejpam-5447	148	22	of	of	ADP
ejpam-5447	148	23	the	the	DET
ejpam-5447	148	24	given	give	VERB
ejpam-5447	148	25	ivp	ivp	PROPN
ejpam-5447	148	26	(	(	PUNCT
ejpam-5447	148	27	4	4	NUM
ejpam-5447	148	28	)	)	PUNCT
ejpam-5447	148	29	,	,	PUNCT
ejpam-5447	148	30	and	and	CCONJ
ejpam-5447	148	31	the	the	DET
ejpam-5447	148	32	regulated	regulated	ADJ
ejpam-5447	148	33	numerical	numerical	ADJ
ejpam-5447	148	34	scheme	scheme	NOUN
ejpam-5447	148	35	which	which	PRON
ejpam-5447	148	36	investigated	investigate	VERB
ejpam-5447	148	37	and	and	CCONJ
ejpam-5447	148	38	proved	prove	VERB
ejpam-5447	148	39	in	in	ADP
ejpam-5447	148	40	(	(	PUNCT
ejpam-5447	148	41	[	[	X
ejpam-5447	148	42	6	6	NUM
ejpam-5447	148	43	]	]	PUNCT
ejpam-5447	148	44	,	,	PUNCT
ejpam-5447	148	45	[	[	X
ejpam-5447	148	46	14	14	NUM
ejpam-5447	148	47	]	]	SYM
ejpam-5447	148	48	)	)	PUNCT
ejpam-5447	148	49	.	.	PUNCT
ejpam-5447	149	1	theorem	theorem	NOUN
ejpam-5447	149	2	1	1	NUM
ejpam-5447	149	3	.	.	PUNCT
ejpam-5447	150	1	[	[	X
ejpam-5447	150	2	14	14	NUM
ejpam-5447	150	3	]	]	PUNCT
ejpam-5447	150	4	let	let	VERB
ejpam-5447	150	5	us	we	PRON
ejpam-5447	150	6	assume	assume	VERB
ejpam-5447	150	7	a	a	DET
ejpam-5447	150	8	continuous	continuous	ADJ
ejpam-5447	150	9	function	function	NOUN
ejpam-5447	150	10	f	f	NOUN
ejpam-5447	150	11	:	:	PUNCT
ejpam-5447	151	1	[	[	X
ejpam-5447	151	2	0	0	NUM
ejpam-5447	151	3	,	,	PUNCT
ejpam-5447	151	4	t	t	X
ejpam-5447	151	5	]	]	PUNCT
ejpam-5447	151	6	×	×	NOUN
ejpam-5447	151	7	r	r	NOUN
ejpam-5447	151	8	→	→	SYM
ejpam-5447	151	9	r	r	NOUN
ejpam-5447	151	10	with	with	ADP
ejpam-5447	151	11	γ	γ	X
ejpam-5447	151	12	∈	∈	PROPN
ejpam-5447	151	13	(	(	PUNCT
ejpam-5447	151	14	0	0	NUM
ejpam-5447	151	15	,	,	PUNCT
ejpam-5447	151	16	1	1	NUM
ejpam-5447	151	17	)	)	PUNCT
ejpam-5447	151	18	that	that	PRON
ejpam-5447	151	19	satisfies	satisfy	VERB
ejpam-5447	151	20	the	the	DET
ejpam-5447	151	21	lipschitz	lipschitz	NOUN
ejpam-5447	151	22	condition	condition	NOUN
ejpam-5447	151	23	:	:	PUNCT
ejpam-5447	151	24	|f	|f	PROPN
ejpam-5447	151	25	(	(	PUNCT
ejpam-5447	151	26	u(t1))−	u(t1))−	NOUN
ejpam-5447	151	27	f	f	X
ejpam-5447	151	28	(	(	PUNCT
ejpam-5447	151	29	u(t2	u(t2	NOUN
ejpam-5447	151	30	)	)	PUNCT
ejpam-5447	151	31	)	)	PUNCT
ejpam-5447	152	1	|	|	ADV
ejpam-5447	152	2	≤	≤	X
ejpam-5447	152	3	ϵ	ϵ	X
ejpam-5447	152	4	|u(t1)−	|u(t1)−	PROPN
ejpam-5447	152	5	u(t2)|	u(t2)|	PROPN
ejpam-5447	152	6	,	,	PUNCT
ejpam-5447	152	7	ϵ	ϵ	X
ejpam-5447	152	8	>	>	X
ejpam-5447	152	9	0	0	NUM
ejpam-5447	152	10	.	.	PUNCT
ejpam-5447	153	1	(	(	PUNCT
ejpam-5447	153	2	7	7	NUM
ejpam-5447	153	3	)	)	PUNCT
ejpam-5447	153	4	then	then	ADV
ejpam-5447	153	5	the	the	DET
ejpam-5447	153	6	ivp	ivp	X
ejpam-5447	153	7	(	(	PUNCT
ejpam-5447	153	8	4	4	NUM
ejpam-5447	153	9	)	)	PUNCT
ejpam-5447	153	10	has	have	VERB
ejpam-5447	153	11	a	a	DET
ejpam-5447	153	12	unique	unique	ADJ
ejpam-5447	153	13	solution	solution	NOUN
ejpam-5447	153	14	on	on	ADP
ejpam-5447	153	15	c[0	c[0	PROPN
ejpam-5447	153	16	,	,	PUNCT
ejpam-5447	153	17	t	t	X
ejpam-5447	153	18	]	]	PUNCT
ejpam-5447	153	19	under	under	ADP
ejpam-5447	153	20	the	the	DET
ejpam-5447	153	21	condition	condition	NOUN
ejpam-5447	153	22	:	:	PUNCT
ejpam-5447	153	23	(	(	PUNCT
ejpam-5447	153	24	2(1−	2(1−	NUM
ejpam-5447	153	25	γ	γ	X
ejpam-5447	153	26	)	)	PUNCT
ejpam-5447	154	1	+	+	NUM
ejpam-5447	154	2	2γ	2γ	NUM
ejpam-5447	154	3	t	t	NOUN
ejpam-5447	154	4	)	)	PUNCT
ejpam-5447	154	5	ϵ	ϵ	X
ejpam-5447	154	6	(	(	PUNCT
ejpam-5447	154	7	2−	2−	NUM
ejpam-5447	154	8	γ	γ	NOUN
ejpam-5447	154	9	)	)	PUNCT
ejpam-5447	154	10	<	<	X
ejpam-5447	154	11	1	1	X
ejpam-5447	154	12	.	.	PUNCT
ejpam-5447	154	13	m.	m.	NOUN
ejpam-5447	154	14	m.	m.	PROPN
ejpam-5447	154	15	khader	khader	PROPN
ejpam-5447	154	16	,	,	PUNCT
ejpam-5447	154	17	m.	m.	NOUN
ejpam-5447	154	18	m.	m.	NOUN
ejpam-5447	154	19	babatin	babatin	PROPN
ejpam-5447	154	20	/	/	SYM
ejpam-5447	154	21	eur	eur	PROPN
ejpam-5447	154	22	.	.	PUNCT
ejpam-5447	155	1	j.	j.	PROPN
ejpam-5447	155	2	pure	pure	PROPN
ejpam-5447	155	3	appl	appl	PROPN
ejpam-5447	155	4	.	.	PROPN
ejpam-5447	155	5	math	math	PROPN
ejpam-5447	155	6	,	,	PUNCT
ejpam-5447	155	7	17	17	NUM
ejpam-5447	155	8	(	(	PUNCT
ejpam-5447	155	9	4	4	NUM
ejpam-5447	155	10	)	)	PUNCT
ejpam-5447	155	11	(	(	PUNCT
ejpam-5447	155	12	2024	2024	NUM
ejpam-5447	155	13	)	)	PUNCT
ejpam-5447	155	14	,	,	PUNCT
ejpam-5447	155	15	3167	3167	NUM
ejpam-5447	155	16	-	-	SYM
ejpam-5447	155	17	3184	3184	NUM
ejpam-5447	155	18	3173	3173	NUM
ejpam-5447	155	19	lemma	lemma	PROPN
ejpam-5447	155	20	1	1	NUM
ejpam-5447	155	21	.	.	PUNCT
ejpam-5447	155	22	suppose	suppose	VERB
ejpam-5447	155	23	that	that	SCONJ
ejpam-5447	155	24	f(u(t	f(u(t	PROPN
ejpam-5447	155	25	)	)	PUNCT
ejpam-5447	155	26	)	)	PUNCT
ejpam-5447	156	1	∈	∈	PROPN
ejpam-5447	156	2	c4([a	c4([a	PROPN
ejpam-5447	156	3	,	,	PUNCT
ejpam-5447	156	4	b	b	NOUN
ejpam-5447	156	5	]	]	X
ejpam-5447	156	6	)	)	PUNCT
ejpam-5447	156	7	,	,	PUNCT
ejpam-5447	156	8	then	then	ADV
ejpam-5447	156	9	the	the	DET
ejpam-5447	156	10	error	error	NOUN
ejpam-5447	156	11	of	of	ADP
ejpam-5447	156	12	numerical	numerical	ADJ
ejpam-5447	156	13	scheme	scheme	NOUN
ejpam-5447	156	14	(	(	PUNCT
ejpam-5447	156	15	6	6	NUM
ejpam-5447	156	16	)	)	PUNCT
ejpam-5447	156	17	is	be	AUX
ejpam-5447	156	18	estimated	estimate	VERB
ejpam-5447	156	19	by	by	ADP
ejpam-5447	156	20	:	:	PUNCT
ejpam-5447	157	1	∣∣∣∣∣	∣∣∣∣∣	PROPN
ejpam-5447	157	2	∫	∫	PROPN
ejpam-5447	157	3	tn+1	tn+1	PROPN
ejpam-5447	157	4	t0	t0	PROPN
ejpam-5447	157	5	f(u(s))ds−	f(u(s))ds−	X
ejpam-5447	157	6	γh	γh	ADP
ejpam-5447	157	7	n+1∑	n+1∑	PROPN
ejpam-5447	157	8	i=0	i=0	PROPN
ejpam-5447	157	9	ξif	ξif	X
ejpam-5447	157	10	(	(	PUNCT
ejpam-5447	157	11	u(ti	u(ti	NOUN
ejpam-5447	157	12	)	)	PUNCT
ejpam-5447	157	13	)	)	PUNCT
ejpam-5447	158	1	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-5447	158	2	≤	≤	ADJ
ejpam-5447	158	3	h4	h4	NOUN
ejpam-5447	158	4	,	,	PUNCT
ejpam-5447	158	5	where	where	SCONJ
ejpam-5447	158	6	ĉ	ĉ	ADV
ejpam-5447	158	7	=	=	SYM
ejpam-5447	158	8	(	(	PUNCT
ejpam-5447	158	9	b−a)f	b−a)f	PROPN
ejpam-5447	158	10	(	(	PUNCT
ejpam-5447	158	11	4)(ζ	4)(ζ	PROPN
ejpam-5447	158	12	)	)	PUNCT
ejpam-5447	158	13	180	180	NUM
ejpam-5447	158	14	,	,	PUNCT
ejpam-5447	158	15	for	for	ADP
ejpam-5447	158	16	some	some	PRON
ejpam-5447	158	17	constant	constant	ADJ
ejpam-5447	158	18	a	a	PRON
ejpam-5447	158	19	<	<	X
ejpam-5447	158	20	ζ	ζ	NOUN
ejpam-5447	158	21	<	<	X
ejpam-5447	158	22	b	b	PROPN
ejpam-5447	158	23	,	,	PUNCT
ejpam-5447	158	24	h	h	NOUN
ejpam-5447	158	25	=	=	NOUN
ejpam-5447	158	26	b−a	b−a	NOUN
ejpam-5447	158	27	n	n	NOUN
ejpam-5447	158	28	,	,	PUNCT
ejpam-5447	158	29	and	and	CCONJ
ejpam-5447	158	30	tk	tk	X
ejpam-5447	158	31	=	=	PUNCT
ejpam-5447	158	32	a	a	PROPN
ejpam-5447	158	33	+	+	X
ejpam-5447	158	34	hk	hk	PROPN
ejpam-5447	158	35	,	,	PUNCT
ejpam-5447	158	36	k	k	PROPN
ejpam-5447	158	37	=	=	SYM
ejpam-5447	158	38	0	0	NUM
ejpam-5447	158	39	,	,	PUNCT
ejpam-5447	158	40	1	1	NUM
ejpam-5447	158	41	,	,	PUNCT
ejpam-5447	158	42	.	.	PUNCT
ejpam-5447	158	43	.	.	PUNCT
ejpam-5447	158	44	.	.	PUNCT
ejpam-5447	159	1	,	,	PUNCT
ejpam-5447	159	2	n+	n+	PUNCT
ejpam-5447	160	1	1	1	X
ejpam-5447	160	2	.	.	PUNCT
ejpam-5447	160	3	the	the	DET
ejpam-5447	160	4	stability	stability	NOUN
ejpam-5447	160	5	and	and	CCONJ
ejpam-5447	160	6	error	error	NOUN
ejpam-5447	160	7	analysis	analysis	NOUN
ejpam-5447	160	8	of	of	ADP
ejpam-5447	160	9	the	the	DET
ejpam-5447	160	10	regulated	regulate	VERB
ejpam-5447	160	11	numerical	numerical	ADJ
ejpam-5447	160	12	scheme	scheme	NOUN
ejpam-5447	160	13	are	be	AUX
ejpam-5447	160	14	investigated	investigate	VERB
ejpam-5447	160	15	and	and	CCONJ
ejpam-5447	160	16	proved	prove	VERB
ejpam-5447	160	17	meanwhile	meanwhile	ADV
ejpam-5447	160	18	the	the	DET
ejpam-5447	160	19	following	follow	VERB
ejpam-5447	160	20	theorems	theorem	NOUN
ejpam-5447	160	21	[	[	X
ejpam-5447	160	22	6	6	NUM
ejpam-5447	160	23	]	]	PUNCT
ejpam-5447	160	24	.	.	PUNCT
ejpam-5447	161	1	theorem	theorem	NOUN
ejpam-5447	161	2	2	2	NUM
ejpam-5447	161	3	.	.	PUNCT
ejpam-5447	162	1	the	the	DET
ejpam-5447	162	2	newly	newly	ADV
ejpam-5447	162	3	designed	design	VERB
ejpam-5447	162	4	fractional	fractional	ADJ
ejpam-5447	162	5	numerical	numerical	ADJ
ejpam-5447	162	6	technique	technique	NOUN
ejpam-5447	162	7	(	(	PUNCT
ejpam-5447	162	8	6	6	NUM
ejpam-5447	162	9	)	)	PUNCT
ejpam-5447	162	10	exhibits	exhibit	VERB
ejpam-5447	162	11	conditional	conditional	ADJ
ejpam-5447	162	12	stability	stability	NOUN
ejpam-5447	162	13	.	.	PUNCT
ejpam-5447	163	1	theorem	theorem	VERB
ejpam-5447	163	2	3	3	NUM
ejpam-5447	163	3	.	.	PUNCT
ejpam-5447	164	1	the	the	DET
ejpam-5447	164	2	recently	recently	ADV
ejpam-5447	164	3	developed	develop	VERB
ejpam-5447	164	4	fractional	fractional	ADJ
ejpam-5447	164	5	numerical	numerical	ADJ
ejpam-5447	164	6	method	method	PROPN
ejpam-5447	164	7	exhibits	exhibit	VERB
ejpam-5447	164	8	conditional	conditional	ADJ
ejpam-5447	164	9	convergence	convergence	NOUN
ejpam-5447	164	10	of	of	ADP
ejpam-5447	164	11	order	order	NOUN
ejpam-5447	164	12	four	four	NUM
ejpam-5447	164	13	,	,	PUNCT
ejpam-5447	164	14	as	as	SCONJ
ejpam-5447	164	15	stated	state	VERB
ejpam-5447	164	16	in	in	ADP
ejpam-5447	164	17	the	the	DET
ejpam-5447	164	18	equation	equation	NOUN
ejpam-5447	164	19	(	(	PUNCT
ejpam-5447	164	20	6	6	NUM
ejpam-5447	164	21	):	):	PUNCT
ejpam-5447	164	22	∥u	∥u	PROPN
ejpam-5447	164	23	(	(	PUNCT
ejpam-5447	164	24	tn+1)−	tn+1)−	PROPN
ejpam-5447	164	25	un+1∥	un+1∥	PROPN
ejpam-5447	164	26	≤	≤	PROPN
ejpam-5447	164	27	ch4	ch4	PROPN
ejpam-5447	164	28	,	,	PUNCT
ejpam-5447	164	29	where	where	SCONJ
ejpam-5447	164	30	c	c	NOUN
ejpam-5447	164	31	=	=	SYM
ejpam-5447	164	32	γĉ	γĉ	PROPN
ejpam-5447	164	33	ch	ch	NOUN
ejpam-5447	164	34	.	.	PROPN
ejpam-5447	164	35	6	6	NUM
ejpam-5447	164	36	.	.	X
ejpam-5447	165	1	numerical	numerical	ADJ
ejpam-5447	165	2	implementation	implementation	NOUN
ejpam-5447	165	3	here	here	ADV
ejpam-5447	165	4	in	in	ADP
ejpam-5447	165	5	this	this	DET
ejpam-5447	165	6	section	section	NOUN
ejpam-5447	165	7	,	,	PUNCT
ejpam-5447	165	8	we	we	PRON
ejpam-5447	165	9	will	will	AUX
ejpam-5447	165	10	try	try	VERB
ejpam-5447	165	11	to	to	PART
ejpam-5447	165	12	treat	treat	VERB
ejpam-5447	165	13	the	the	DET
ejpam-5447	165	14	shortcomings	shortcoming	NOUN
ejpam-5447	165	15	of	of	ADP
ejpam-5447	165	16	the	the	DET
ejpam-5447	165	17	existing	exist	VERB
ejpam-5447	165	18	numerical	numerical	ADJ
ejpam-5447	165	19	methods	method	NOUN
ejpam-5447	165	20	,	,	PUNCT
ejpam-5447	165	21	which	which	PRON
ejpam-5447	165	22	are	be	AUX
ejpam-5447	165	23	represented	represent	VERB
ejpam-5447	165	24	by	by	ADP
ejpam-5447	165	25	the	the	DET
ejpam-5447	165	26	slow	slow	ADJ
ejpam-5447	165	27	convergence	convergence	NOUN
ejpam-5447	165	28	of	of	ADP
ejpam-5447	165	29	most	most	ADJ
ejpam-5447	165	30	of	of	ADP
ejpam-5447	165	31	them	they	PRON
ejpam-5447	165	32	when	when	SCONJ
ejpam-5447	165	33	solving	solve	VERB
ejpam-5447	165	34	this	this	DET
ejpam-5447	165	35	type	type	NOUN
ejpam-5447	165	36	of	of	ADP
ejpam-5447	165	37	problem	problem	NOUN
ejpam-5447	165	38	,	,	PUNCT
ejpam-5447	165	39	which	which	PRON
ejpam-5447	165	40	in	in	ADP
ejpam-5447	165	41	turn	turn	NOUN
ejpam-5447	165	42	leads	lead	VERB
ejpam-5447	165	43	to	to	ADP
ejpam-5447	165	44	inaccurate	inaccurate	ADJ
ejpam-5447	165	45	approximations	approximation	NOUN
ejpam-5447	165	46	[	[	X
ejpam-5447	165	47	13	13	NUM
ejpam-5447	165	48	]	]	PUNCT
ejpam-5447	165	49	.	.	PUNCT
ejpam-5447	166	1	to	to	PART
ejpam-5447	166	2	address	address	VERB
ejpam-5447	166	3	this	this	PRON
ejpam-5447	166	4	,	,	PUNCT
ejpam-5447	166	5	we	we	PRON
ejpam-5447	166	6	use	use	VERB
ejpam-5447	166	7	the	the	DET
ejpam-5447	166	8	fsr	fsr	PROPN
ejpam-5447	166	9	for	for	ADP
ejpam-5447	166	10	numerical	numerical	ADJ
ejpam-5447	166	11	integration	integration	NOUN
ejpam-5447	166	12	to	to	PART
ejpam-5447	166	13	calculate	calculate	VERB
ejpam-5447	166	14	the	the	DET
ejpam-5447	166	15	resulting	result	VERB
ejpam-5447	166	16	integral	integral	ADJ
ejpam-5447	166	17	in	in	ADP
ejpam-5447	166	18	the	the	DET
ejpam-5447	166	19	system	system	NOUN
ejpam-5447	166	20	of	of	ADP
ejpam-5447	166	21	fies	fie	NOUN
ejpam-5447	166	22	obtained	obtain	VERB
ejpam-5447	166	23	from	from	ADP
ejpam-5447	166	24	the	the	DET
ejpam-5447	166	25	same	same	ADJ
ejpam-5447	166	26	models	model	NOUN
ejpam-5447	166	27	of	of	ADP
ejpam-5447	166	28	fdes	fde	NOUN
ejpam-5447	166	29	under	under	ADP
ejpam-5447	166	30	study	study	NOUN
ejpam-5447	166	31	.	.	PUNCT
ejpam-5447	167	1	6.1	6.1	NUM
ejpam-5447	167	2	.	.	X
ejpam-5447	167	3	solving	solve	VERB
ejpam-5447	167	4	fractional	fractional	ADJ
ejpam-5447	167	5	blood	blood	NOUN
ejpam-5447	167	6	ethanol	ethanol	NOUN
ejpam-5447	167	7	concentration	concentration	NOUN
ejpam-5447	167	8	model	model	NOUN
ejpam-5447	167	9	now	now	ADV
ejpam-5447	167	10	,	,	PUNCT
ejpam-5447	167	11	we	we	PRON
ejpam-5447	167	12	will	will	AUX
ejpam-5447	167	13	numerically	numerically	ADV
ejpam-5447	167	14	treat	treat	VERB
ejpam-5447	167	15	the	the	DET
ejpam-5447	167	16	bec	bec	NOUN
ejpam-5447	167	17	system	system	NOUN
ejpam-5447	167	18	in	in	ADP
ejpam-5447	167	19	its	its	PRON
ejpam-5447	167	20	fractional	fractional	ADJ
ejpam-5447	167	21	form	form	NOUN
ejpam-5447	167	22	by	by	ADP
ejpam-5447	167	23	creating	create	VERB
ejpam-5447	167	24	a	a	DET
ejpam-5447	167	25	numerical	numerical	ADJ
ejpam-5447	167	26	scheme	scheme	NOUN
ejpam-5447	167	27	for	for	ADP
ejpam-5447	167	28	it	it	PRON
ejpam-5447	167	29	.	.	PUNCT
ejpam-5447	168	1	for	for	ADP
ejpam-5447	168	2	this	this	DET
ejpam-5447	168	3	purpose	purpose	NOUN
ejpam-5447	168	4	,	,	PUNCT
ejpam-5447	168	5	let	let	VERB
ejpam-5447	168	6	us	we	PRON
ejpam-5447	168	7	reformulate	reformulate	VERB
ejpam-5447	168	8	the	the	DET
ejpam-5447	168	9	system	system	NOUN
ejpam-5447	168	10	(	(	PUNCT
ejpam-5447	168	11	2	2	NUM
ejpam-5447	168	12	)	)	PUNCT
ejpam-5447	168	13	in	in	ADP
ejpam-5447	168	14	an	an	DET
ejpam-5447	168	15	operator	operator	NOUN
ejpam-5447	168	16	form	form	NOUN
ejpam-5447	168	17	as	as	SCONJ
ejpam-5447	168	18	follows	follow	VERB
ejpam-5447	168	19	:	:	PUNCT
ejpam-5447	168	20	cfdν	cfdν	NOUN
ejpam-5447	168	21	θ̄(t	θ̄(t	NOUN
ejpam-5447	168	22	)	)	PUNCT
ejpam-5447	169	1	=	=	SYM
ejpam-5447	169	2	f(θ̄(t	f(θ̄(t	NOUN
ejpam-5447	169	3	)	)	PUNCT
ejpam-5447	169	4	,	,	PUNCT
ejpam-5447	169	5	t	t	PROPN
ejpam-5447	169	6	)	)	PUNCT
ejpam-5447	169	7	,	,	PUNCT
ejpam-5447	169	8	(	(	PUNCT
ejpam-5447	169	9	8)	8)	NUM
ejpam-5447	169	10	where	where	SCONJ
ejpam-5447	169	11	θ̄(t	θ̄(t	NOUN
ejpam-5447	169	12	)	)	PUNCT
ejpam-5447	169	13	=	=	PUNCT
ejpam-5447	170	1	[	[	X
ejpam-5447	170	2	θ1(t	θ1(t	PROPN
ejpam-5447	170	3	)	)	PUNCT
ejpam-5447	170	4	,	,	PUNCT
ejpam-5447	170	5	θ2(t	θ2(t	PROPN
ejpam-5447	170	6	)	)	PUNCT
ejpam-5447	170	7	]	]	PUNCT
ejpam-5447	171	1	t	t	X
ejpam-5447	171	2	,	,	PUNCT
ejpam-5447	171	3	f(θ̄(t	f(θ̄(t	NOUN
ejpam-5447	171	4	)	)	PUNCT
ejpam-5447	171	5	,	,	PUNCT
ejpam-5447	171	6	t	t	PROPN
ejpam-5447	171	7	)	)	PUNCT
ejpam-5447	171	8	=	=	PUNCT
ejpam-5447	172	1	[	[	X
ejpam-5447	172	2	f1	f1	NOUN
ejpam-5447	172	3	,	,	PUNCT
ejpam-5447	172	4	f2	f2	PROPN
ejpam-5447	172	5	]	]	PUNCT
ejpam-5447	172	6	t	t	PROPN
ejpam-5447	172	7	,	,	PUNCT
ejpam-5447	172	8	θ̄(0	θ̄(0	PUNCT
ejpam-5447	172	9	)	)	PUNCT
ejpam-5447	172	10	=	=	NOUN
ejpam-5447	173	1	[	[	X
ejpam-5447	173	2	θ01	θ01	NOUN
ejpam-5447	173	3	,	,	PUNCT
ejpam-5447	173	4	0	0	NUM
ejpam-5447	173	5	]	]	X
ejpam-5447	173	6	t	t	NOUN
ejpam-5447	173	7	,	,	PUNCT
ejpam-5447	173	8	(	(	PUNCT
ejpam-5447	173	9	9	9	X
ejpam-5447	173	10	)	)	PUNCT
ejpam-5447	174	1	where	where	SCONJ
ejpam-5447	174	2	each	each	DET
ejpam-5447	174	3	one	one	NUM
ejpam-5447	174	4	of	of	ADP
ejpam-5447	174	5	the	the	DET
ejpam-5447	174	6	functions	function	NOUN
ejpam-5447	174	7	fi(θ1	fi(θ1	NOUN
ejpam-5447	174	8	,	,	PUNCT
ejpam-5447	174	9	θ2	θ2	PROPN
ejpam-5447	174	10	)	)	PUNCT
ejpam-5447	174	11	,	,	PUNCT
ejpam-5447	174	12	i	i	PRON
ejpam-5447	174	13	=	=	NOUN
ejpam-5447	174	14	1	1	NUM
ejpam-5447	174	15	,	,	PUNCT
ejpam-5447	174	16	2	2	NUM
ejpam-5447	174	17	are	be	AUX
ejpam-5447	174	18	defined	define	VERB
ejpam-5447	174	19	in	in	ADP
ejpam-5447	174	20	the	the	DET
ejpam-5447	174	21	rhs	rhs	PROPN
ejpam-5447	174	22	of	of	ADP
ejpam-5447	174	23	the	the	DET
ejpam-5447	174	24	two	two	NUM
ejpam-5447	174	25	equations	equation	NOUN
ejpam-5447	174	26	in	in	ADP
ejpam-5447	174	27	(	(	PUNCT
ejpam-5447	174	28	2	2	NUM
ejpam-5447	174	29	)	)	PUNCT
ejpam-5447	174	30	,	,	PUNCT
ejpam-5447	174	31	respectively	respectively	ADV
ejpam-5447	174	32	.	.	PUNCT
ejpam-5447	174	33	m.	m.	NOUN
ejpam-5447	174	34	m.	m.	PROPN
ejpam-5447	174	35	khader	khader	PROPN
ejpam-5447	174	36	,	,	PUNCT
ejpam-5447	174	37	m.	m.	NOUN
ejpam-5447	174	38	m.	m.	NOUN
ejpam-5447	174	39	babatin	babatin	PROPN
ejpam-5447	174	40	/	/	SYM
ejpam-5447	174	41	eur	eur	PROPN
ejpam-5447	174	42	.	.	PUNCT
ejpam-5447	175	1	j.	j.	PROPN
ejpam-5447	175	2	pure	pure	PROPN
ejpam-5447	175	3	appl	appl	PROPN
ejpam-5447	175	4	.	.	PROPN
ejpam-5447	175	5	math	math	PROPN
ejpam-5447	175	6	,	,	PUNCT
ejpam-5447	175	7	17	17	NUM
ejpam-5447	175	8	(	(	PUNCT
ejpam-5447	175	9	4	4	NUM
ejpam-5447	175	10	)	)	PUNCT
ejpam-5447	175	11	(	(	PUNCT
ejpam-5447	175	12	2024	2024	NUM
ejpam-5447	175	13	)	)	PUNCT
ejpam-5447	175	14	,	,	PUNCT
ejpam-5447	175	15	3167	3167	NUM
ejpam-5447	175	16	-	-	SYM
ejpam-5447	175	17	3184	3184	NUM
ejpam-5447	175	18	3174	3174	NUM
ejpam-5447	175	19	applying	apply	VERB
ejpam-5447	175	20	the	the	DET
ejpam-5447	175	21	cf	cf	NOUN
ejpam-5447	175	22	-	-	PUNCT
ejpam-5447	175	23	fractional	fractional	ADJ
ejpam-5447	175	24	integral	integral	ADJ
ejpam-5447	175	25	operator	operator	NOUN
ejpam-5447	175	26	on	on	ADP
ejpam-5447	175	27	the	the	DET
ejpam-5447	175	28	model	model	NOUN
ejpam-5447	175	29	(	(	PUNCT
ejpam-5447	175	30	8)	8)	NUM
ejpam-5447	175	31	and	and	CCONJ
ejpam-5447	175	32	implementing	implement	VERB
ejpam-5447	175	33	proposition	proposition	NOUN
ejpam-5447	175	34	3	3	NUM
ejpam-5447	175	35	in	in	ADP
ejpam-5447	175	36	[	[	X
ejpam-5447	175	37	1	1	NUM
ejpam-5447	175	38	]	]	PUNCT
ejpam-5447	175	39	and	and	CCONJ
ejpam-5447	175	40	formula	formula	NOUN
ejpam-5447	175	41	(	(	PUNCT
ejpam-5447	175	42	1	1	NUM
ejpam-5447	175	43	)	)	PUNCT
ejpam-5447	175	44	,	,	PUNCT
ejpam-5447	175	45	we	we	PRON
ejpam-5447	175	46	get	get	VERB
ejpam-5447	175	47	:	:	PUNCT
ejpam-5447	175	48	θ̄(t	θ̄(t	NUM
ejpam-5447	175	49	)	)	PUNCT
ejpam-5447	175	50	=	=	SYM
ejpam-5447	175	51	θ̄(0	θ̄(0	NUM
ejpam-5447	175	52	)	)	PUNCT
ejpam-5447	176	1	+	+	CCONJ
ejpam-5447	176	2	cf	cf	X
ejpam-5447	176	3	iν	iν	NOUN
ejpam-5447	176	4	f(θ̄(t	f(θ̄(t	NOUN
ejpam-5447	176	5	)	)	PUNCT
ejpam-5447	176	6	,	,	PUNCT
ejpam-5447	176	7	t	t	PROPN
ejpam-5447	176	8	)	)	PUNCT
ejpam-5447	176	9	=	=	SYM
ejpam-5447	176	10	θ̄(0	θ̄(0	NUM
ejpam-5447	176	11	)	)	PUNCT
ejpam-5447	177	1	+	+	CCONJ
ejpam-5447	177	2	(	(	PUNCT
ejpam-5447	177	3	1−	1−	NUM
ejpam-5447	177	4	ν)f(θ̄(t	ν)f(θ̄(t	NOUN
ejpam-5447	177	5	)	)	PUNCT
ejpam-5447	177	6	,	,	PUNCT
ejpam-5447	177	7	t	t	PROPN
ejpam-5447	177	8	)	)	PUNCT
ejpam-5447	177	9	+	+	NUM
ejpam-5447	177	10	ν	ν	X
ejpam-5447	177	11	∫	∫	PROPN
ejpam-5447	177	12	t	t	PROPN
ejpam-5447	177	13	0	0	NUM
ejpam-5447	177	14	f(θ̄(s	f(θ̄(s	PROPN
ejpam-5447	177	15	)	)	PUNCT
ejpam-5447	177	16	,	,	PUNCT
ejpam-5447	177	17	s)ds	s)ds	PROPN
ejpam-5447	177	18	.	.	PUNCT
ejpam-5447	178	1	(	(	PUNCT
ejpam-5447	178	2	10	10	NUM
ejpam-5447	178	3	)	)	PUNCT
ejpam-5447	178	4	applying	apply	VERB
ejpam-5447	178	5	the	the	DET
ejpam-5447	178	6	derived	derive	VERB
ejpam-5447	178	7	fsr	fsr	NOUN
ejpam-5447	178	8	for	for	ADP
ejpam-5447	178	9	the	the	DET
ejpam-5447	178	10	integration	integration	NOUN
ejpam-5447	178	11	on	on	ADP
ejpam-5447	178	12	the	the	DET
ejpam-5447	178	13	rhs	rhs	PROPN
ejpam-5447	178	14	of	of	ADP
ejpam-5447	178	15	(	(	PUNCT
ejpam-5447	178	16	10	10	NUM
ejpam-5447	178	17	)	)	PUNCT
ejpam-5447	178	18	,	,	PUNCT
ejpam-5447	178	19	to	to	PART
ejpam-5447	178	20	get	get	VERB
ejpam-5447	178	21	the	the	DET
ejpam-5447	178	22	following	follow	VERB
ejpam-5447	178	23	numerical	numerical	ADJ
ejpam-5447	178	24	scheme	scheme	NOUN
ejpam-5447	178	25	as	as	SCONJ
ejpam-5447	178	26	constructed	construct	VERB
ejpam-5447	178	27	in	in	ADP
ejpam-5447	178	28	the	the	DET
ejpam-5447	178	29	formula	formula	NOUN
ejpam-5447	178	30	(	(	PUNCT
ejpam-5447	178	31	6	6	NUM
ejpam-5447	178	32	):	):	PUNCT
ejpam-5447	178	33	θ̄j+1	θ̄j+1	NOUN
ejpam-5447	178	34	=	=	SYM
ejpam-5447	178	35	θ̄(0	θ̄(0	NUM
ejpam-5447	178	36	)	)	PUNCT
ejpam-5447	179	1	+	+	CCONJ
ejpam-5447	179	2	(	(	PUNCT
ejpam-5447	179	3	1−	1−	NUM
ejpam-5447	179	4	ν)f(θ̄j+1	ν)f(θ̄j+1	PROPN
ejpam-5447	179	5	,	,	PUNCT
ejpam-5447	179	6	tj+1	tj+1	NUM
ejpam-5447	179	7	)	)	PUNCT
ejpam-5447	179	8	+	+	NUM
ejpam-5447	179	9	ν	ν	NOUN
ejpam-5447	179	10	h	h	NOUN
ejpam-5447	179	11	j+1∑	j+1∑	PROPN
ejpam-5447	179	12	r=0	r=0	PROPN
ejpam-5447	179	13	ξr	ξr	ADP
ejpam-5447	179	14	f(θ̄r	f(θ̄r	NOUN
ejpam-5447	179	15	,	,	PUNCT
ejpam-5447	179	16	tr	tr	VERB
ejpam-5447	179	17	)	)	PUNCT
ejpam-5447	179	18	,	,	PUNCT
ejpam-5447	179	19	j	j	PROPN
ejpam-5447	179	20	=	=	SYM
ejpam-5447	179	21	0	0	NUM
ejpam-5447	179	22	,	,	PUNCT
ejpam-5447	179	23	1	1	NUM
ejpam-5447	179	24	,	,	PUNCT
ejpam-5447	179	25	2	2	NUM
ejpam-5447	179	26	,	,	PUNCT
ejpam-5447	179	27	.	.	PUNCT
ejpam-5447	179	28	.	.	PUNCT
ejpam-5447	179	29	.	.	PUNCT
ejpam-5447	180	1	,	,	PUNCT
ejpam-5447	180	2	n−	n−	NOUN
ejpam-5447	180	3	1	1	NUM
ejpam-5447	180	4	,	,	PUNCT
ejpam-5447	180	5	(	(	PUNCT
ejpam-5447	180	6	11	11	NUM
ejpam-5447	180	7	)	)	PUNCT
ejpam-5447	180	8	where	where	SCONJ
ejpam-5447	180	9	the	the	DET
ejpam-5447	180	10	weights	weight	NOUN
ejpam-5447	180	11	ξr	ξr	NOUN
ejpam-5447	180	12	,	,	PUNCT
ejpam-5447	180	13	r	r	NOUN
ejpam-5447	180	14	=	=	SYM
ejpam-5447	180	15	0	0	NUM
ejpam-5447	180	16	,	,	PUNCT
ejpam-5447	180	17	1	1	NUM
ejpam-5447	180	18	,	,	PUNCT
ejpam-5447	180	19	...	...	PUNCT
ejpam-5447	180	20	,	,	PUNCT
ejpam-5447	180	21	n+	n+	ADP
ejpam-5447	180	22	1	1	NUM
ejpam-5447	180	23	of	of	ADP
ejpam-5447	180	24	the	the	DET
ejpam-5447	180	25	fsr	fsr	NOUN
ejpam-5447	180	26	are	be	AUX
ejpam-5447	180	27	defined	define	VERB
ejpam-5447	180	28	in	in	ADP
ejpam-5447	180	29	(	(	PUNCT
ejpam-5447	180	30	6	6	NUM
ejpam-5447	180	31	)	)	PUNCT
ejpam-5447	180	32	.	.	PUNCT
ejpam-5447	181	1	so	so	ADV
ejpam-5447	181	2	,	,	PUNCT
ejpam-5447	181	3	the	the	DET
ejpam-5447	181	4	system	system	NOUN
ejpam-5447	181	5	given	give	VERB
ejpam-5447	181	6	in	in	ADP
ejpam-5447	181	7	(	(	PUNCT
ejpam-5447	181	8	2	2	NUM
ejpam-5447	181	9	)	)	PUNCT
ejpam-5447	181	10	transforms	transform	VERB
ejpam-5447	181	11	into	into	ADP
ejpam-5447	181	12	an	an	DET
ejpam-5447	181	13	algebraic	algebraic	ADJ
ejpam-5447	181	14	equations	equation	NOUN
ejpam-5447	181	15	system	system	NOUN
ejpam-5447	181	16	as	as	SCONJ
ejpam-5447	181	17	follows	follow	VERB
ejpam-5447	181	18	:	:	PUNCT
ejpam-5447	181	19	θk	θk	NOUN
ejpam-5447	181	20	,	,	PUNCT
ejpam-5447	181	21	j+1	j+1	PROPN
ejpam-5447	181	22	=	=	PUNCT
ejpam-5447	181	23	θk,0	θk,0	PROPN
ejpam-5447	181	24	+	+	CCONJ
ejpam-5447	181	25	(	(	PUNCT
ejpam-5447	181	26	1−	1−	NUM
ejpam-5447	181	27	ν)fk(θ1,j+1	ν)fk(θ1,j+1	PROPN
ejpam-5447	181	28	,	,	PUNCT
ejpam-5447	181	29	θ2,j+1	θ2,j+1	PROPN
ejpam-5447	181	30	,	,	PUNCT
ejpam-5447	181	31	tj+1	tj+1	X
ejpam-5447	181	32	)	)	PUNCT
ejpam-5447	182	1	+	+	NUM
ejpam-5447	183	1	ν	ν	NOUN
ejpam-5447	183	2	h	h	NOUN
ejpam-5447	183	3	j+1∑	j+1∑	PROPN
ejpam-5447	183	4	r=0	r=0	PROPN
ejpam-5447	183	5	ξr	ξr	PROPN
ejpam-5447	183	6	fk(θ1,r	fk(θ1,r	PROPN
ejpam-5447	183	7	,	,	PUNCT
ejpam-5447	183	8	θ2,r	θ2,r	PROPN
ejpam-5447	183	9	,	,	PUNCT
ejpam-5447	183	10	tr	tr	VERB
ejpam-5447	183	11	)	)	PUNCT
ejpam-5447	183	12	,	,	PUNCT
ejpam-5447	183	13	k	k	PROPN
ejpam-5447	183	14	=	=	SYM
ejpam-5447	183	15	1	1	NUM
ejpam-5447	183	16	,	,	PUNCT
ejpam-5447	183	17	2	2	NUM
ejpam-5447	183	18	,	,	PUNCT
ejpam-5447	183	19	(	(	PUNCT
ejpam-5447	183	20	12	12	NUM
ejpam-5447	183	21	)	)	PUNCT
ejpam-5447	183	22	where	where	SCONJ
ejpam-5447	183	23	the	the	DET
ejpam-5447	183	24	functions	function	NOUN
ejpam-5447	183	25	fk	fk	INTJ
ejpam-5447	183	26	are	be	AUX
ejpam-5447	183	27	defined	define	VERB
ejpam-5447	183	28	in	in	ADP
ejpam-5447	183	29	(	(	PUNCT
ejpam-5447	183	30	9	9	NUM
ejpam-5447	183	31	)	)	PUNCT
ejpam-5447	183	32	.	.	PUNCT
ejpam-5447	184	1	6.2	6.2	NUM
ejpam-5447	184	2	.	.	PUNCT
ejpam-5447	184	3	solving	solve	VERB
ejpam-5447	184	4	fractional	fractional	ADJ
ejpam-5447	184	5	ebola	ebola	PROPN
ejpam-5447	184	6	virus	virus	NOUN
ejpam-5447	184	7	disease	disease	NOUN
ejpam-5447	184	8	model	model	NOUN
ejpam-5447	184	9	now	now	ADV
ejpam-5447	184	10	,	,	PUNCT
ejpam-5447	184	11	we	we	PRON
ejpam-5447	184	12	will	will	AUX
ejpam-5447	184	13	numerically	numerically	ADV
ejpam-5447	184	14	treat	treat	VERB
ejpam-5447	184	15	the	the	DET
ejpam-5447	184	16	ebola	ebola	PROPN
ejpam-5447	184	17	virus	virus	NOUN
ejpam-5447	184	18	system	system	NOUN
ejpam-5447	184	19	in	in	ADP
ejpam-5447	184	20	its	its	PRON
ejpam-5447	184	21	fractional	fractional	ADJ
ejpam-5447	184	22	form	form	NOUN
ejpam-5447	184	23	by	by	ADP
ejpam-5447	184	24	creating	create	VERB
ejpam-5447	184	25	a	a	DET
ejpam-5447	184	26	numerical	numerical	ADJ
ejpam-5447	184	27	scheme	scheme	NOUN
ejpam-5447	184	28	of	of	ADP
ejpam-5447	184	29	it	it	PRON
ejpam-5447	184	30	.	.	PUNCT
ejpam-5447	185	1	for	for	ADP
ejpam-5447	185	2	this	this	DET
ejpam-5447	185	3	purpose	purpose	NOUN
ejpam-5447	185	4	,	,	PUNCT
ejpam-5447	185	5	let	let	VERB
ejpam-5447	185	6	us	we	PRON
ejpam-5447	185	7	reformulate	reformulate	VERB
ejpam-5447	185	8	the	the	DET
ejpam-5447	185	9	system	system	NOUN
ejpam-5447	185	10	(	(	PUNCT
ejpam-5447	185	11	3	3	NUM
ejpam-5447	185	12	)	)	PUNCT
ejpam-5447	185	13	in	in	ADP
ejpam-5447	185	14	an	an	DET
ejpam-5447	185	15	operator	operator	NOUN
ejpam-5447	185	16	form	form	NOUN
ejpam-5447	185	17	as	as	SCONJ
ejpam-5447	185	18	follows	follow	VERB
ejpam-5447	185	19	:	:	PUNCT
ejpam-5447	185	20	cfdν	cfdν	NOUN
ejpam-5447	185	21	ψ̄(t	ψ̄(t	ADJ
ejpam-5447	185	22	)	)	PUNCT
ejpam-5447	185	23	=	=	SYM
ejpam-5447	185	24	f(ψ̄(t	f(ψ̄(t	NOUN
ejpam-5447	185	25	)	)	PUNCT
ejpam-5447	185	26	,	,	PUNCT
ejpam-5447	185	27	t	t	PROPN
ejpam-5447	185	28	)	)	PUNCT
ejpam-5447	185	29	,	,	PUNCT
ejpam-5447	185	30	(	(	PUNCT
ejpam-5447	185	31	13	13	NUM
ejpam-5447	185	32	)	)	PUNCT
ejpam-5447	185	33	ψ̄(t	ψ̄(t	NOUN
ejpam-5447	185	34	)	)	PUNCT
ejpam-5447	185	35	=	=	PUNCT
ejpam-5447	186	1	[	[	X
ejpam-5447	186	2	ψ1(t	ψ1(t	NOUN
ejpam-5447	186	3	)	)	PUNCT
ejpam-5447	186	4	,	,	PUNCT
ejpam-5447	186	5	ψ2(t	ψ2(t	PROPN
ejpam-5447	186	6	)	)	PUNCT
ejpam-5447	186	7	,	,	PUNCT
ejpam-5447	186	8	ψ3(t	ψ3(t	PROPN
ejpam-5447	186	9	)	)	PUNCT
ejpam-5447	186	10	,	,	PUNCT
ejpam-5447	186	11	ψ4(t	ψ4(t	PROPN
ejpam-5447	186	12	)	)	PUNCT
ejpam-5447	186	13	]	]	PUNCT
ejpam-5447	187	1	t	t	PROPN
ejpam-5447	187	2	,	,	PUNCT
ejpam-5447	187	3	f(ψ̄(t	f(ψ̄(t	PROPN
ejpam-5447	187	4	)	)	PUNCT
ejpam-5447	187	5	,	,	PUNCT
ejpam-5447	187	6	t	t	PROPN
ejpam-5447	187	7	)	)	PUNCT
ejpam-5447	187	8	=	=	PUNCT
ejpam-5447	188	1	[	[	X
ejpam-5447	188	2	f1	f1	NOUN
ejpam-5447	188	3	,	,	PUNCT
ejpam-5447	188	4	f2	f2	PROPN
ejpam-5447	188	5	,	,	PUNCT
ejpam-5447	188	6	f3	f3	PROPN
ejpam-5447	188	7	,	,	PUNCT
ejpam-5447	188	8	f4	f4	PROPN
ejpam-5447	188	9	]	]	X
ejpam-5447	188	10	t	t	NOUN
ejpam-5447	188	11	,	,	PUNCT
ejpam-5447	188	12	ψ̄(0	ψ̄(0	PUNCT
ejpam-5447	188	13	)	)	PUNCT
ejpam-5447	189	1	=	=	NOUN
ejpam-5447	190	1	[	[	X
ejpam-5447	190	2	ψ̂0	ψ̂0	X
ejpam-5447	190	3	1	1	NUM
ejpam-5447	190	4	,	,	PUNCT
ejpam-5447	190	5	ψ̂	ψ̂	ADV
ejpam-5447	190	6	0	0	NUM
ejpam-5447	190	7	2	2	NUM
ejpam-5447	190	8	,	,	PUNCT
ejpam-5447	190	9	ψ̂	ψ̂	ADV
ejpam-5447	190	10	0	0	NUM
ejpam-5447	190	11	3	3	NUM
ejpam-5447	190	12	,	,	PUNCT
ejpam-5447	190	13	ψ̂	ψ̂	ADV
ejpam-5447	190	14	0	0	NUM
ejpam-5447	190	15	4	4	NUM
ejpam-5447	190	16	]	]	X
ejpam-5447	190	17	t	t	NOUN
ejpam-5447	190	18	,	,	PUNCT
ejpam-5447	190	19	(	(	PUNCT
ejpam-5447	190	20	14	14	NUM
ejpam-5447	190	21	)	)	PUNCT
ejpam-5447	190	22	where	where	SCONJ
ejpam-5447	190	23	each	each	DET
ejpam-5447	190	24	one	one	NUM
ejpam-5447	190	25	of	of	ADP
ejpam-5447	190	26	the	the	DET
ejpam-5447	190	27	functions	function	NOUN
ejpam-5447	190	28	fi(ψ1	fi(ψ1	NOUN
ejpam-5447	190	29	,	,	PUNCT
ejpam-5447	190	30	ψ2	ψ2	NOUN
ejpam-5447	190	31	,	,	PUNCT
ejpam-5447	190	32	ψ3	ψ3	NOUN
ejpam-5447	190	33	,	,	PUNCT
ejpam-5447	190	34	ψ4	ψ4	PROPN
ejpam-5447	190	35	)	)	PUNCT
ejpam-5447	190	36	,	,	PUNCT
ejpam-5447	190	37	i	i	PRON
ejpam-5447	190	38	=	=	NOUN
ejpam-5447	190	39	1(1)4	1(1)4	PROPN
ejpam-5447	190	40	are	be	AUX
ejpam-5447	190	41	defined	define	VERB
ejpam-5447	190	42	in	in	ADP
ejpam-5447	190	43	the	the	DET
ejpam-5447	190	44	rhs	rhs	PROPN
ejpam-5447	190	45	of	of	ADP
ejpam-5447	190	46	the	the	DET
ejpam-5447	190	47	four	four	NUM
ejpam-5447	190	48	equations	equation	NOUN
ejpam-5447	190	49	in	in	ADP
ejpam-5447	190	50	(	(	PUNCT
ejpam-5447	190	51	3	3	NUM
ejpam-5447	190	52	)	)	PUNCT
ejpam-5447	190	53	,	,	PUNCT
ejpam-5447	190	54	respectively	respectively	ADV
ejpam-5447	190	55	.	.	PUNCT
ejpam-5447	191	1	applying	apply	VERB
ejpam-5447	191	2	the	the	DET
ejpam-5447	191	3	cf	cf	NOUN
ejpam-5447	191	4	-	-	PUNCT
ejpam-5447	191	5	fractional	fractional	ADJ
ejpam-5447	191	6	integral	integral	ADJ
ejpam-5447	191	7	operator	operator	NOUN
ejpam-5447	191	8	on	on	ADP
ejpam-5447	191	9	the	the	DET
ejpam-5447	191	10	model	model	NOUN
ejpam-5447	191	11	(	(	PUNCT
ejpam-5447	191	12	13	13	NUM
ejpam-5447	191	13	)	)	PUNCT
ejpam-5447	191	14	and	and	CCONJ
ejpam-5447	191	15	implementing	implement	VERB
ejpam-5447	191	16	proposition	proposition	NOUN
ejpam-5447	191	17	3	3	NUM
ejpam-5447	191	18	in	in	ADP
ejpam-5447	191	19	[	[	X
ejpam-5447	191	20	1	1	NUM
ejpam-5447	191	21	]	]	PUNCT
ejpam-5447	191	22	and	and	CCONJ
ejpam-5447	191	23	formula	formula	NOUN
ejpam-5447	191	24	(	(	PUNCT
ejpam-5447	191	25	1	1	NUM
ejpam-5447	191	26	)	)	PUNCT
ejpam-5447	191	27	,	,	PUNCT
ejpam-5447	191	28	we	we	PRON
ejpam-5447	191	29	get	get	VERB
ejpam-5447	191	30	:	:	PUNCT
ejpam-5447	191	31	ψ̄(t	ψ̄(t	X
ejpam-5447	191	32	)	)	PUNCT
ejpam-5447	191	33	=	=	PUNCT
ejpam-5447	191	34	ψ̄(0	ψ̄(0	X
ejpam-5447	191	35	)	)	PUNCT
ejpam-5447	192	1	+	+	CCONJ
ejpam-5447	192	2	cf	cf	X
ejpam-5447	192	3	iν	iν	NOUN
ejpam-5447	192	4	f(ψ̄(t	f(ψ̄(t	NOUN
ejpam-5447	192	5	)	)	PUNCT
ejpam-5447	192	6	,	,	PUNCT
ejpam-5447	192	7	t	t	PROPN
ejpam-5447	192	8	)	)	PUNCT
ejpam-5447	192	9	=	=	PUNCT
ejpam-5447	192	10	ψ̄(0	ψ̄(0	PUNCT
ejpam-5447	192	11	)	)	PUNCT
ejpam-5447	193	1	+	+	CCONJ
ejpam-5447	193	2	(	(	PUNCT
ejpam-5447	193	3	1−	1−	NUM
ejpam-5447	193	4	ν)f(ψ̄(t	ν)f(ψ̄(t	NUM
ejpam-5447	193	5	)	)	PUNCT
ejpam-5447	193	6	,	,	PUNCT
ejpam-5447	193	7	t	t	PROPN
ejpam-5447	193	8	)	)	PUNCT
ejpam-5447	194	1	+	+	NUM
ejpam-5447	194	2	ν	ν	X
ejpam-5447	194	3	∫	∫	PROPN
ejpam-5447	194	4	t	t	PROPN
ejpam-5447	194	5	0	0	NUM
ejpam-5447	194	6	f(ψ̄(s	f(ψ̄(s	PROPN
ejpam-5447	194	7	)	)	PUNCT
ejpam-5447	194	8	,	,	PUNCT
ejpam-5447	195	1	s)ds	s)ds	PROPN
ejpam-5447	195	2	.	.	PUNCT
ejpam-5447	195	3	(	(	PUNCT
ejpam-5447	195	4	15	15	X
ejpam-5447	195	5	)	)	PUNCT
ejpam-5447	195	6	applying	apply	VERB
ejpam-5447	195	7	the	the	DET
ejpam-5447	195	8	derived	derive	VERB
ejpam-5447	195	9	fsr	fsr	NOUN
ejpam-5447	195	10	for	for	ADP
ejpam-5447	195	11	the	the	DET
ejpam-5447	195	12	integration	integration	NOUN
ejpam-5447	195	13	on	on	ADP
ejpam-5447	195	14	the	the	DET
ejpam-5447	195	15	rhs	rhs	PROPN
ejpam-5447	195	16	of	of	ADP
ejpam-5447	195	17	(	(	PUNCT
ejpam-5447	195	18	15	15	NUM
ejpam-5447	195	19	)	)	PUNCT
ejpam-5447	195	20	,	,	PUNCT
ejpam-5447	195	21	to	to	PART
ejpam-5447	195	22	get	get	VERB
ejpam-5447	195	23	the	the	DET
ejpam-5447	195	24	following	follow	VERB
ejpam-5447	195	25	numerical	numerical	ADJ
ejpam-5447	195	26	scheme	scheme	NOUN
ejpam-5447	195	27	as	as	SCONJ
ejpam-5447	195	28	constructed	construct	VERB
ejpam-5447	195	29	in	in	ADP
ejpam-5447	195	30	the	the	DET
ejpam-5447	195	31	formula	formula	NOUN
ejpam-5447	195	32	(	(	PUNCT
ejpam-5447	195	33	6	6	NUM
ejpam-5447	195	34	):	):	PUNCT
ejpam-5447	195	35	ψ̄j+1	ψ̄j+1	NOUN
ejpam-5447	195	36	=	=	PUNCT
ejpam-5447	195	37	ψ̄(0	ψ̄(0	X
ejpam-5447	195	38	)	)	PUNCT
ejpam-5447	196	1	+	+	CCONJ
ejpam-5447	196	2	(	(	PUNCT
ejpam-5447	196	3	1−	1−	NUM
ejpam-5447	196	4	ν)f(ψ̄j+1	ν)f(ψ̄j+1	PROPN
ejpam-5447	196	5	,	,	PUNCT
ejpam-5447	196	6	tj+1	tj+1	NUM
ejpam-5447	196	7	)	)	PUNCT
ejpam-5447	196	8	+	+	NUM
ejpam-5447	196	9	ν	ν	NOUN
ejpam-5447	196	10	h	h	NOUN
ejpam-5447	196	11	j+1∑	j+1∑	PROPN
ejpam-5447	196	12	r=0	r=0	PROPN
ejpam-5447	196	13	ξr	ξr	PROPN
ejpam-5447	196	14	f(ψ̄r	f(ψ̄r	NOUN
ejpam-5447	196	15	,	,	PUNCT
ejpam-5447	196	16	tr	tr	VERB
ejpam-5447	196	17	)	)	PUNCT
ejpam-5447	196	18	,	,	PUNCT
ejpam-5447	196	19	j	j	PROPN
ejpam-5447	196	20	=	=	SYM
ejpam-5447	196	21	0	0	NUM
ejpam-5447	196	22	,	,	PUNCT
ejpam-5447	196	23	1	1	NUM
ejpam-5447	196	24	,	,	PUNCT
ejpam-5447	196	25	2	2	NUM
ejpam-5447	196	26	,	,	PUNCT
ejpam-5447	196	27	.	.	PUNCT
ejpam-5447	196	28	.	.	PUNCT
ejpam-5447	196	29	.	.	PUNCT
ejpam-5447	197	1	,	,	PUNCT
ejpam-5447	197	2	n−	n−	NOUN
ejpam-5447	197	3	1	1	NUM
ejpam-5447	197	4	,	,	PUNCT
ejpam-5447	197	5	(	(	PUNCT
ejpam-5447	197	6	16	16	NUM
ejpam-5447	197	7	)	)	PUNCT
ejpam-5447	197	8	m.	m.	NOUN
ejpam-5447	197	9	m.	m.	NOUN
ejpam-5447	197	10	khader	khader	PROPN
ejpam-5447	197	11	,	,	PUNCT
ejpam-5447	197	12	m.	m.	NOUN
ejpam-5447	197	13	m.	m.	NOUN
ejpam-5447	197	14	babatin	babatin	PROPN
ejpam-5447	197	15	/	/	SYM
ejpam-5447	197	16	eur	eur	PROPN
ejpam-5447	197	17	.	.	PUNCT
ejpam-5447	198	1	j.	j.	PROPN
ejpam-5447	198	2	pure	pure	PROPN
ejpam-5447	198	3	appl	appl	PROPN
ejpam-5447	198	4	.	.	PROPN
ejpam-5447	198	5	math	math	PROPN
ejpam-5447	198	6	,	,	PUNCT
ejpam-5447	198	7	17	17	NUM
ejpam-5447	198	8	(	(	PUNCT
ejpam-5447	198	9	4	4	NUM
ejpam-5447	198	10	)	)	PUNCT
ejpam-5447	198	11	(	(	PUNCT
ejpam-5447	198	12	2024	2024	NUM
ejpam-5447	198	13	)	)	PUNCT
ejpam-5447	198	14	,	,	PUNCT
ejpam-5447	198	15	3167	3167	NUM
ejpam-5447	198	16	-	-	SYM
ejpam-5447	198	17	3184	3184	NUM
ejpam-5447	198	18	3175	3175	NUM
ejpam-5447	199	1	where	where	SCONJ
ejpam-5447	199	2	the	the	DET
ejpam-5447	199	3	weights	weight	NOUN
ejpam-5447	199	4	ξr	ξr	NOUN
ejpam-5447	199	5	,	,	PUNCT
ejpam-5447	199	6	r	r	NOUN
ejpam-5447	199	7	=	=	SYM
ejpam-5447	199	8	0	0	NUM
ejpam-5447	199	9	,	,	PUNCT
ejpam-5447	199	10	1	1	NUM
ejpam-5447	199	11	,	,	PUNCT
ejpam-5447	199	12	...	...	PUNCT
ejpam-5447	199	13	,	,	PUNCT
ejpam-5447	199	14	n+	n+	ADP
ejpam-5447	199	15	1	1	NUM
ejpam-5447	199	16	of	of	ADP
ejpam-5447	199	17	the	the	DET
ejpam-5447	199	18	fsr	fsr	NOUN
ejpam-5447	199	19	are	be	AUX
ejpam-5447	199	20	defined	define	VERB
ejpam-5447	199	21	in	in	ADP
ejpam-5447	199	22	(	(	PUNCT
ejpam-5447	199	23	6	6	NUM
ejpam-5447	199	24	)	)	PUNCT
ejpam-5447	199	25	.	.	PUNCT
ejpam-5447	200	1	so	so	ADV
ejpam-5447	200	2	,	,	PUNCT
ejpam-5447	200	3	the	the	DET
ejpam-5447	200	4	system	system	NOUN
ejpam-5447	200	5	given	give	VERB
ejpam-5447	200	6	in	in	ADP
ejpam-5447	200	7	(	(	PUNCT
ejpam-5447	200	8	3	3	NUM
ejpam-5447	200	9	)	)	PUNCT
ejpam-5447	200	10	transforms	transform	VERB
ejpam-5447	200	11	into	into	ADP
ejpam-5447	200	12	an	an	DET
ejpam-5447	200	13	algebraic	algebraic	ADJ
ejpam-5447	200	14	equations	equation	NOUN
ejpam-5447	200	15	system	system	NOUN
ejpam-5447	200	16	as	as	SCONJ
ejpam-5447	200	17	follows	follow	VERB
ejpam-5447	200	18	:	:	PUNCT
ejpam-5447	200	19	ψk	ψk	VERB
ejpam-5447	200	20	,	,	PUNCT
ejpam-5447	200	21	j+1	j+1	PROPN
ejpam-5447	200	22	=	=	PUNCT
ejpam-5447	200	23	ψk,0	ψk,0	PROPN
ejpam-5447	200	24	+	+	CCONJ
ejpam-5447	200	25	(	(	PUNCT
ejpam-5447	200	26	1−	1−	NUM
ejpam-5447	200	27	ν)fk(ψ1,j+1	ν)fk(ψ1,j+1	PROPN
ejpam-5447	200	28	,	,	PUNCT
ejpam-5447	200	29	ψ2,j+1	ψ2,j+1	PROPN
ejpam-5447	200	30	,	,	PUNCT
ejpam-5447	200	31	ψ3,j+1	ψ3,j+1	PROPN
ejpam-5447	200	32	,	,	PUNCT
ejpam-5447	200	33	ψ4,j+1	ψ4,j+1	ADP
ejpam-5447	200	34	,	,	PUNCT
ejpam-5447	200	35	tj+1	tj+1	X
ejpam-5447	200	36	)	)	PUNCT
ejpam-5447	200	37	+	+	NUM
ejpam-5447	200	38	ν	ν	NOUN
ejpam-5447	200	39	h	h	NOUN
ejpam-5447	200	40	j+1∑	j+1∑	PROPN
ejpam-5447	200	41	r=0	r=0	PROPN
ejpam-5447	200	42	ξr	ξr	ADP
ejpam-5447	200	43	fk(ψ1,r	fk(ψ1,r	PROPN
ejpam-5447	200	44	,	,	PUNCT
ejpam-5447	200	45	ψ2,r	ψ2,r	PROPN
ejpam-5447	200	46	,	,	PUNCT
ejpam-5447	200	47	ψ3,r	ψ3,r	PROPN
ejpam-5447	200	48	,	,	PUNCT
ejpam-5447	200	49	ψ4,r	ψ4,r	PROPN
ejpam-5447	200	50	,	,	PUNCT
ejpam-5447	200	51	tr	tr	VERB
ejpam-5447	200	52	)	)	PUNCT
ejpam-5447	200	53	,	,	PUNCT
ejpam-5447	200	54	k	k	X
ejpam-5447	201	1	=	=	PUNCT
ejpam-5447	201	2	1(1)4	1(1)4	ADJ
ejpam-5447	201	3	,	,	PUNCT
ejpam-5447	201	4	(	(	PUNCT
ejpam-5447	201	5	17	17	NUM
ejpam-5447	201	6	)	)	PUNCT
ejpam-5447	201	7	where	where	SCONJ
ejpam-5447	201	8	the	the	DET
ejpam-5447	201	9	functions	function	NOUN
ejpam-5447	201	10	fk	fk	INTJ
ejpam-5447	201	11	are	be	AUX
ejpam-5447	201	12	defined	define	VERB
ejpam-5447	201	13	in	in	ADP
ejpam-5447	201	14	(	(	PUNCT
ejpam-5447	201	15	14	14	NUM
ejpam-5447	201	16	)	)	PUNCT
ejpam-5447	201	17	.	.	PUNCT
ejpam-5447	202	1	7	7	X
ejpam-5447	202	2	.	.	X
ejpam-5447	202	3	numerical	numerical	PROPN
ejpam-5447	202	4	simulation	simulation	PROPN
ejpam-5447	202	5	7.1	7.1	NUM
ejpam-5447	202	6	.	.	PUNCT
ejpam-5447	203	1	for	for	ADP
ejpam-5447	203	2	the	the	DET
ejpam-5447	203	3	blood	blood	NOUN
ejpam-5447	203	4	ethanol	ethanol	NOUN
ejpam-5447	203	5	concentration	concentration	NOUN
ejpam-5447	203	6	model	model	NOUN
ejpam-5447	203	7	here	here	ADV
ejpam-5447	203	8	,	,	PUNCT
ejpam-5447	203	9	we	we	PRON
ejpam-5447	203	10	behold	behold	VERB
ejpam-5447	203	11	the	the	DET
ejpam-5447	203	12	model	model	NOUN
ejpam-5447	203	13	(	(	PUNCT
ejpam-5447	203	14	2	2	NUM
ejpam-5447	203	15	)	)	PUNCT
ejpam-5447	203	16	with	with	ADP
ejpam-5447	203	17	different	different	ADJ
ejpam-5447	203	18	values	value	NOUN
ejpam-5447	203	19	of	of	ADP
ejpam-5447	203	20	α	α	PROPN
ejpam-5447	203	21	,	,	PUNCT
ejpam-5447	203	22	β	β	X
ejpam-5447	203	23	,	,	PUNCT
ejpam-5447	203	24	n	n	CCONJ
ejpam-5447	203	25	at	at	ADP
ejpam-5447	203	26	λ	λ	X
ejpam-5447	203	27	=	=	SYM
ejpam-5447	203	28	0.018713	0.018713	NUM
ejpam-5447	203	29	and	and	CCONJ
ejpam-5447	203	30	µ	µ	NOUN
ejpam-5447	203	31	=	=	SYM
ejpam-5447	203	32	0.084457	0.084457	NUM
ejpam-5447	203	33	and	and	CCONJ
ejpam-5447	203	34	initial	initial	ADJ
ejpam-5447	203	35	conditions	condition	NOUN
ejpam-5447	203	36	θ01	θ01	NOUN
ejpam-5447	203	37	=	=	SYM
ejpam-5447	203	38	500	500	NUM
ejpam-5447	203	39	,	,	PUNCT
ejpam-5447	203	40	θ02	θ02	VERB
ejpam-5447	203	41	=	=	SYM
ejpam-5447	203	42	0	0	NUM
ejpam-5447	203	43	in	in	ADP
ejpam-5447	203	44	[	[	X
ejpam-5447	203	45	0,100	0,100	NUM
ejpam-5447	203	46	]	]	PUNCT
ejpam-5447	203	47	.	.	PUNCT
ejpam-5447	204	1	we	we	PRON
ejpam-5447	204	2	give	give	VERB
ejpam-5447	204	3	a	a	DET
ejpam-5447	204	4	numerical	numerical	ADJ
ejpam-5447	204	5	simulation	simulation	NOUN
ejpam-5447	204	6	for	for	ADP
ejpam-5447	204	7	the	the	DET
ejpam-5447	204	8	bec	bec	PROPN
ejpam-5447	204	9	system	system	NOUN
ejpam-5447	204	10	by	by	ADP
ejpam-5447	204	11	implementing	implement	VERB
ejpam-5447	204	12	the	the	DET
ejpam-5447	204	13	indicated	indicate	VERB
ejpam-5447	204	14	scheme	scheme	NOUN
ejpam-5447	204	15	during	during	ADP
ejpam-5447	204	16	in	in	ADP
ejpam-5447	204	17	figures	figure	NOUN
ejpam-5447	204	18	1	1	NUM
ejpam-5447	204	19	-	-	SYM
ejpam-5447	204	20	4	4	NUM
ejpam-5447	204	21	[	[	X
ejpam-5447	204	22	12	12	NUM
ejpam-5447	204	23	]	]	PUNCT
ejpam-5447	204	24	.	.	PUNCT
ejpam-5447	205	1	(	(	PUNCT
ejpam-5447	205	2	i	i	NOUN
ejpam-5447	205	3	)	)	PUNCT
ejpam-5447	205	4	figure	figure	NOUN
ejpam-5447	205	5	1	1	NUM
ejpam-5447	205	6	recognizes	recognize	VERB
ejpam-5447	205	7	a	a	DET
ejpam-5447	205	8	comparison	comparison	NOUN
ejpam-5447	205	9	between	between	ADP
ejpam-5447	205	10	the	the	DET
ejpam-5447	205	11	numerical	numerical	ADJ
ejpam-5447	205	12	and	and	CCONJ
ejpam-5447	205	13	true	true	ADJ
ejpam-5447	205	14	solutions	solution	NOUN
ejpam-5447	205	15	with	with	ADP
ejpam-5447	205	16	α	α	NOUN
ejpam-5447	205	17	=	=	NOUN
ejpam-5447	205	18	0.95	0.95	NUM
ejpam-5447	205	19	,	,	PUNCT
ejpam-5447	205	20	β	β	X
ejpam-5447	205	21	=	=	SYM
ejpam-5447	205	22	0.95	0.95	NUM
ejpam-5447	205	23	,	,	PUNCT
ejpam-5447	205	24	&	&	CCONJ
ejpam-5447	205	25	n	n	CCONJ
ejpam-5447	205	26	=	=	NUM
ejpam-5447	205	27	200	200	NUM
ejpam-5447	205	28	.	.	PUNCT
ejpam-5447	206	1	(	(	PUNCT
ejpam-5447	206	2	ii	ii	NOUN
ejpam-5447	206	3	)	)	PUNCT
ejpam-5447	206	4	figure	figure	NOUN
ejpam-5447	206	5	2	2	NUM
ejpam-5447	206	6	gives	give	VERB
ejpam-5447	206	7	the	the	DET
ejpam-5447	206	8	absolute	absolute	ADJ
ejpam-5447	206	9	true	true	ADJ
ejpam-5447	206	10	error	error	NOUN
ejpam-5447	206	11	(	(	PUNCT
ejpam-5447	206	12	ate	ate	NOUN
ejpam-5447	206	13	)	)	PUNCT
ejpam-5447	206	14	with	with	ADP
ejpam-5447	206	15	α	α	PROPN
ejpam-5447	206	16	=	=	SYM
ejpam-5447	206	17	0.9	0.9	NUM
ejpam-5447	206	18	,	,	PUNCT
ejpam-5447	206	19	β	β	X
ejpam-5447	206	20	=	=	SYM
ejpam-5447	206	21	0.9	0.9	NUM
ejpam-5447	206	22	,	,	PUNCT
ejpam-5447	206	23	&	&	CCONJ
ejpam-5447	206	24	n	n	PROPN
ejpam-5447	206	25	=	=	NUM
ejpam-5447	206	26	250	250	NUM
ejpam-5447	206	27	.	.	PUNCT
ejpam-5447	207	1	(	(	PUNCT
ejpam-5447	207	2	iii	iii	X
ejpam-5447	207	3	)	)	PUNCT
ejpam-5447	207	4	figure	figure	NOUN
ejpam-5447	207	5	3	3	NUM
ejpam-5447	207	6	shows	show	VERB
ejpam-5447	207	7	the	the	DET
ejpam-5447	207	8	influence	influence	NOUN
ejpam-5447	207	9	of	of	ADP
ejpam-5447	207	10	the	the	DET
ejpam-5447	207	11	fractional	fractional	ADJ
ejpam-5447	207	12	order	order	NOUN
ejpam-5447	207	13	on	on	ADP
ejpam-5447	207	14	the	the	DET
ejpam-5447	207	15	numerical	numerical	ADJ
ejpam-5447	207	16	solution	solution	NOUN
ejpam-5447	207	17	with	with	ADP
ejpam-5447	207	18	various	various	ADJ
ejpam-5447	207	19	values	value	NOUN
ejpam-5447	207	20	of	of	ADP
ejpam-5447	207	21	α	α	NOUN
ejpam-5447	207	22	=	=	SYM
ejpam-5447	207	23	β	β	X
ejpam-5447	207	24	=	=	SYM
ejpam-5447	207	25	1	1	NUM
ejpam-5447	207	26	,	,	PUNCT
ejpam-5447	207	27	0.85	0.85	NUM
ejpam-5447	207	28	,	,	PUNCT
ejpam-5447	207	29	0.75	0.75	NUM
ejpam-5447	207	30	,	,	PUNCT
ejpam-5447	207	31	0.65	0.65	NUM
ejpam-5447	207	32	with	with	ADP
ejpam-5447	207	33	n	n	NOUN
ejpam-5447	207	34	=	=	NUM
ejpam-5447	207	35	200	200	NUM
ejpam-5447	207	36	.	.	PUNCT
ejpam-5447	208	1	(	(	PUNCT
ejpam-5447	208	2	iv	iv	X
ejpam-5447	208	3	)	)	PUNCT
ejpam-5447	208	4	figure	figure	NOUN
ejpam-5447	208	5	4	4	NUM
ejpam-5447	208	6	shows	show	VERB
ejpam-5447	208	7	the	the	DET
ejpam-5447	208	8	influence	influence	NOUN
ejpam-5447	208	9	of	of	ADP
ejpam-5447	208	10	the	the	DET
ejpam-5447	208	11	fractional	fractional	ADJ
ejpam-5447	208	12	order	order	NOUN
ejpam-5447	208	13	on	on	ADP
ejpam-5447	208	14	the	the	DET
ejpam-5447	208	15	numerical	numerical	ADJ
ejpam-5447	208	16	solution	solution	NOUN
ejpam-5447	208	17	with	with	ADP
ejpam-5447	208	18	various	various	ADJ
ejpam-5447	208	19	values	value	NOUN
ejpam-5447	208	20	of	of	ADP
ejpam-5447	208	21	α	α	NOUN
ejpam-5447	208	22	=	=	SYM
ejpam-5447	208	23	β	β	X
ejpam-5447	208	24	=	=	SYM
ejpam-5447	208	25	0.55	0.55	NUM
ejpam-5447	208	26	,	,	PUNCT
ejpam-5447	208	27	0.45	0.45	NUM
ejpam-5447	208	28	,	,	PUNCT
ejpam-5447	208	29	0.35	0.35	NUM
ejpam-5447	208	30	,	,	PUNCT
ejpam-5447	208	31	0.25	0.25	NUM
ejpam-5447	208	32	with	with	ADP
ejpam-5447	208	33	n	n	NOUN
ejpam-5447	208	34	=	=	NUM
ejpam-5447	208	35	200	200	NUM
ejpam-5447	208	36	.	.	PUNCT
ejpam-5447	208	37	by	by	ADP
ejpam-5447	208	38	looking	look	VERB
ejpam-5447	208	39	closely	closely	ADV
ejpam-5447	208	40	at	at	ADP
ejpam-5447	208	41	these	these	DET
ejpam-5447	208	42	four	four	NUM
ejpam-5447	208	43	figures	figure	NOUN
ejpam-5447	208	44	,	,	PUNCT
ejpam-5447	208	45	we	we	PRON
ejpam-5447	208	46	can	can	AUX
ejpam-5447	208	47	assert	assert	VERB
ejpam-5447	208	48	and	and	CCONJ
ejpam-5447	208	49	confirm	confirm	VERB
ejpam-5447	208	50	that	that	SCONJ
ejpam-5447	208	51	the	the	DET
ejpam-5447	208	52	numerical	numerical	ADJ
ejpam-5447	208	53	solution	solution	NOUN
ejpam-5447	208	54	is	be	AUX
ejpam-5447	208	55	based	base	VERB
ejpam-5447	208	56	on	on	ADP
ejpam-5447	208	57	the	the	DET
ejpam-5447	208	58	different	different	ADJ
ejpam-5447	208	59	values	value	NOUN
ejpam-5447	208	60	of	of	ADP
ejpam-5447	208	61	α	α	PROPN
ejpam-5447	208	62	and	and	CCONJ
ejpam-5447	208	63	β	β	NOUN
ejpam-5447	208	64	;	;	PUNCT
ejpam-5447	208	65	it	it	PRON
ejpam-5447	208	66	is	be	AUX
ejpam-5447	208	67	a	a	DET
ejpam-5447	208	68	clear	clear	ADJ
ejpam-5447	208	69	indication	indication	NOUN
ejpam-5447	208	70	that	that	SCONJ
ejpam-5447	208	71	the	the	DET
ejpam-5447	208	72	presented	present	VERB
ejpam-5447	208	73	numerical	numerical	ADJ
ejpam-5447	208	74	scheme	scheme	NOUN
ejpam-5447	208	75	has	have	AUX
ejpam-5447	208	76	been	be	AUX
ejpam-5447	208	77	well	well	ADV
ejpam-5447	208	78	implement	implement	ADJ
ejpam-5447	208	79	for	for	ADP
ejpam-5447	208	80	solving	solve	VERB
ejpam-5447	208	81	the	the	DET
ejpam-5447	208	82	suggested	suggest	VERB
ejpam-5447	208	83	system	system	NOUN
ejpam-5447	208	84	in	in	ADP
ejpam-5447	208	85	its	its	PRON
ejpam-5447	208	86	fractional	fractional	ADJ
ejpam-5447	208	87	form	form	NOUN
ejpam-5447	208	88	and	and	CCONJ
ejpam-5447	208	89	with	with	ADP
ejpam-5447	208	90	this	this	DET
ejpam-5447	208	91	type	type	NOUN
ejpam-5447	208	92	of	of	ADP
ejpam-5447	208	93	derivatives	derivative	NOUN
ejpam-5447	208	94	with	with	ADP
ejpam-5447	208	95	small	small	ADJ
ejpam-5447	208	96	and	and	CCONJ
ejpam-5447	208	97	large	large	ADJ
ejpam-5447	208	98	values	value	NOUN
ejpam-5447	208	99	of	of	ADP
ejpam-5447	208	100	the	the	DET
ejpam-5447	208	101	fractional	fractional	ADJ
ejpam-5447	208	102	order	order	NOUN
ejpam-5447	208	103	.	.	PUNCT
ejpam-5447	209	1	in	in	ADP
ejpam-5447	209	2	addition	addition	NOUN
ejpam-5447	209	3	,	,	PUNCT
ejpam-5447	209	4	to	to	PART
ejpam-5447	209	5	verify	verify	VERB
ejpam-5447	209	6	the	the	DET
ejpam-5447	209	7	numerical	numerical	ADJ
ejpam-5447	209	8	convergence	convergence	NOUN
ejpam-5447	209	9	of	of	ADP
ejpam-5447	209	10	the	the	DET
ejpam-5447	209	11	solutions	solution	NOUN
ejpam-5447	209	12	in	in	ADP
ejpam-5447	209	13	the	the	DET
ejpam-5447	209	14	interval	interval	NOUN
ejpam-5447	209	15	[	[	X
ejpam-5447	209	16	0	0	NUM
ejpam-5447	209	17	,	,	PUNCT
ejpam-5447	209	18	100	100	NUM
ejpam-5447	209	19	]	]	PUNCT
ejpam-5447	209	20	,	,	PUNCT
ejpam-5447	209	21	the	the	DET
ejpam-5447	209	22	fractional	fractional	ADJ
ejpam-5447	209	23	trapezoidal	trapezoidal	ADJ
ejpam-5447	209	24	rule	rule	NOUN
ejpam-5447	209	25	(	(	PUNCT
ejpam-5447	209	26	ftr	ftr	PROPN
ejpam-5447	209	27	)	)	PUNCT
ejpam-5447	209	28	for	for	ADP
ejpam-5447	209	29	the	the	DET
ejpam-5447	209	30	numerical	numerical	ADJ
ejpam-5447	209	31	integration	integration	NOUN
ejpam-5447	209	32	which	which	PRON
ejpam-5447	209	33	achieves	achieve	VERB
ejpam-5447	209	34	a	a	DET
ejpam-5447	209	35	convergence	convergence	NOUN
ejpam-5447	209	36	order	order	NOUN
ejpam-5447	209	37	of	of	ADP
ejpam-5447	209	38	two	two	NUM
ejpam-5447	209	39	is	be	AUX
ejpam-5447	209	40	applied	apply	VERB
ejpam-5447	209	41	to	to	PART
ejpam-5447	209	42	solve	solve	VERB
ejpam-5447	209	43	the	the	DET
ejpam-5447	209	44	given	give	VERB
ejpam-5447	209	45	problem	problem	NOUN
ejpam-5447	209	46	as	as	ADP
ejpam-5447	209	47	the	the	DET
ejpam-5447	209	48	benchmarking	benchmarking	NOUN
ejpam-5447	209	49	to	to	ADP
ejpam-5447	209	50	the	the	DET
ejpam-5447	209	51	proposed	propose	VERB
ejpam-5447	209	52	fsr	fsr	NOUN
ejpam-5447	209	53	in	in	ADP
ejpam-5447	209	54	terms	term	NOUN
ejpam-5447	209	55	of	of	ADP
ejpam-5447	209	56	efficiency	efficiency	NOUN
ejpam-5447	209	57	and	and	CCONJ
ejpam-5447	209	58	accuracy	accuracy	NOUN
ejpam-5447	210	1	[	[	X
ejpam-5447	210	2	10	10	NUM
ejpam-5447	210	3	]	]	PUNCT
ejpam-5447	210	4	.	.	PUNCT
ejpam-5447	211	1	in	in	ADP
ejpam-5447	211	2	table	table	NOUN
ejpam-5447	211	3	1	1	NUM
ejpam-5447	211	4	,	,	PUNCT
ejpam-5447	211	5	we	we	PRON
ejpam-5447	211	6	computed	compute	VERB
ejpam-5447	211	7	the	the	DET
ejpam-5447	211	8	maximum	maximum	ADJ
ejpam-5447	211	9	absolute	absolute	ADJ
ejpam-5447	211	10	approximate	approximate	ADJ
ejpam-5447	211	11	errors	error	NOUN
ejpam-5447	211	12	(	(	PUNCT
ejpam-5447	211	13	aae	aae	PROPN
ejpam-5447	211	14	)	)	PUNCT
ejpam-5447	211	15	to	to	PART
ejpam-5447	211	16	show	show	VERB
ejpam-5447	211	17	the	the	DET
ejpam-5447	211	18	performance	performance	NOUN
ejpam-5447	211	19	of	of	ADP
ejpam-5447	211	20	the	the	DET
ejpam-5447	211	21	fsr	fsr	PROPN
ejpam-5447	211	22	method	method	NOUN
ejpam-5447	211	23	against	against	ADP
ejpam-5447	211	24	the	the	DET
ejpam-5447	211	25	benchmark	benchmark	NOUN
ejpam-5447	211	26	method	method	NOUN
ejpam-5447	211	27	in	in	ADP
ejpam-5447	211	28	solving	solve	VERB
ejpam-5447	211	29	the	the	DET
ejpam-5447	211	30	bec	bec	PROPN
ejpam-5447	211	31	model	model	NOUN
ejpam-5447	211	32	at	at	ADP
ejpam-5447	211	33	various	various	ADJ
ejpam-5447	211	34	values	value	NOUN
ejpam-5447	211	35	of	of	ADP
ejpam-5447	211	36	the	the	DET
ejpam-5447	211	37	fractional	fractional	ADJ
ejpam-5447	211	38	order	order	NOUN
ejpam-5447	211	39	α	α	NOUN
ejpam-5447	211	40	,	,	PUNCT
ejpam-5447	211	41	β	β	X
ejpam-5447	211	42	and	and	CCONJ
ejpam-5447	211	43	the	the	DET
ejpam-5447	211	44	step	step	NOUN
ejpam-5447	211	45	size	size	NOUN
ejpam-5447	211	46	h.	h.	PROPN
ejpam-5447	211	47	table	table	NOUN
ejpam-5447	211	48	1	1	NUM
ejpam-5447	211	49	shows	show	VERB
ejpam-5447	211	50	that	that	SCONJ
ejpam-5447	211	51	the	the	DET
ejpam-5447	211	52	maximum	maximum	PROPN
ejpam-5447	211	53	aae	aae	PROPN
ejpam-5447	211	54	decreases	decrease	VERB
ejpam-5447	211	55	when	when	SCONJ
ejpam-5447	211	56	the	the	DET
ejpam-5447	211	57	step	step	NOUN
ejpam-5447	211	58	-	-	PUNCT
ejpam-5447	211	59	size	size	NOUN
ejpam-5447	211	60	used	use	VERB
ejpam-5447	211	61	in	in	ADP
ejpam-5447	211	62	the	the	DET
ejpam-5447	211	63	computation	computation	NOUN
ejpam-5447	211	64	decreases	decrease	VERB
ejpam-5447	211	65	.	.	PUNCT
ejpam-5447	212	1	therefore	therefore	ADV
ejpam-5447	212	2	,	,	PUNCT
ejpam-5447	212	3	the	the	DET
ejpam-5447	212	4	errors	error	NOUN
ejpam-5447	212	5	illustrated	illustrate	VERB
ejpam-5447	212	6	sufficient	sufficient	ADJ
ejpam-5447	212	7	proof	proof	NOUN
ejpam-5447	212	8	of	of	ADP
ejpam-5447	212	9	numerical	numerical	ADJ
ejpam-5447	212	10	convergence	convergence	NOUN
ejpam-5447	212	11	of	of	ADP
ejpam-5447	212	12	the	the	DET
ejpam-5447	212	13	proposed	propose	VERB
ejpam-5447	212	14	numerical	numerical	ADJ
ejpam-5447	212	15	scheme	scheme	NOUN
ejpam-5447	212	16	.	.	PUNCT
ejpam-5447	213	1	this	this	DET
ejpam-5447	213	2	comparison	comparison	NOUN
ejpam-5447	213	3	confirms	confirm	VERB
ejpam-5447	213	4	the	the	DET
ejpam-5447	213	5	thoroughness	thoroughness	NOUN
ejpam-5447	213	6	of	of	ADP
ejpam-5447	213	7	the	the	DET
ejpam-5447	213	8	proposed	propose	VERB
ejpam-5447	213	9	method	method	NOUN
ejpam-5447	213	10	in	in	ADP
ejpam-5447	213	11	this	this	DET
ejpam-5447	213	12	article	article	NOUN
ejpam-5447	213	13	.	.	PUNCT
ejpam-5447	214	1	m.	m.	PROPN
ejpam-5447	214	2	m.	m.	PROPN
ejpam-5447	214	3	khader	khader	PROPN
ejpam-5447	214	4	,	,	PUNCT
ejpam-5447	214	5	m.	m.	NOUN
ejpam-5447	214	6	m.	m.	NOUN
ejpam-5447	214	7	babatin	babatin	PROPN
ejpam-5447	214	8	/	/	SYM
ejpam-5447	214	9	eur	eur	PROPN
ejpam-5447	214	10	.	.	PUNCT
ejpam-5447	215	1	j.	j.	PROPN
ejpam-5447	215	2	pure	pure	PROPN
ejpam-5447	215	3	appl	appl	PROPN
ejpam-5447	215	4	.	.	PROPN
ejpam-5447	215	5	math	math	PROPN
ejpam-5447	215	6	,	,	PUNCT
ejpam-5447	215	7	17	17	NUM
ejpam-5447	215	8	(	(	PUNCT
ejpam-5447	215	9	4	4	NUM
ejpam-5447	215	10	)	)	PUNCT
ejpam-5447	215	11	(	(	PUNCT
ejpam-5447	215	12	2024	2024	NUM
ejpam-5447	215	13	)	)	PUNCT
ejpam-5447	215	14	,	,	PUNCT
ejpam-5447	215	15	3167	3167	NUM
ejpam-5447	215	16	-	-	SYM
ejpam-5447	215	17	3184	3184	NUM
ejpam-5447	215	18	3176	3176	NUM
ejpam-5447	215	19	figure	figure	NOUN
ejpam-5447	215	20	1	1	NUM
ejpam-5447	215	21	.	.	PUNCT
ejpam-5447	216	1	the	the	DET
ejpam-5447	216	2	numerical	numerical	ADJ
ejpam-5447	216	3	and	and	CCONJ
ejpam-5447	216	4	true	true	ADJ
ejpam-5447	216	5	solutions	solution	NOUN
ejpam-5447	216	6	with	with	ADP
ejpam-5447	216	7	α	α	NOUN
ejpam-5447	216	8	=	=	NOUN
ejpam-5447	216	9	0.95	0.95	NUM
ejpam-5447	216	10	,	,	PUNCT
ejpam-5447	216	11	β	β	X
ejpam-5447	216	12	=	=	SYM
ejpam-5447	216	13	0.95	0.95	NUM
ejpam-5447	216	14	,	,	PUNCT
ejpam-5447	216	15	&	&	CCONJ
ejpam-5447	216	16	n	n	CCONJ
ejpam-5447	216	17	=	=	NUM
ejpam-5447	216	18	200	200	NUM
ejpam-5447	216	19	.	.	PUNCT
ejpam-5447	217	1	figure	figure	NOUN
ejpam-5447	217	2	2	2	NUM
ejpam-5447	217	3	:	:	PUNCT
ejpam-5447	217	4	the	the	DET
ejpam-5447	217	5	ate	eat	VERB
ejpam-5447	217	6	with	with	ADP
ejpam-5447	217	7	α	α	NOUN
ejpam-5447	217	8	=	=	SYM
ejpam-5447	217	9	0.9	0.9	NUM
ejpam-5447	217	10	,	,	PUNCT
ejpam-5447	217	11	β	β	X
ejpam-5447	217	12	=	=	SYM
ejpam-5447	217	13	0.9	0.9	NUM
ejpam-5447	217	14	,	,	PUNCT
ejpam-5447	217	15	and	and	CCONJ
ejpam-5447	217	16	n	n	CCONJ
ejpam-5447	217	17	=	=	SYM
ejpam-5447	217	18	250	250	NUM
ejpam-5447	217	19	.	.	PUNCT
ejpam-5447	217	20	table	table	NOUN
ejpam-5447	217	21	1	1	NUM
ejpam-5447	217	22	.	.	PUNCT
ejpam-5447	218	1	a	a	DET
ejpam-5447	218	2	comparison	comparison	NOUN
ejpam-5447	218	3	of	of	ADP
ejpam-5447	218	4	the	the	DET
ejpam-5447	218	5	maximum	maximum	ADJ
ejpam-5447	218	6	absolute	absolute	ADJ
ejpam-5447	218	7	approximate	approximate	ADJ
ejpam-5447	218	8	errors	error	NOUN
ejpam-5447	218	9	from	from	ADP
ejpam-5447	218	10	solving	solve	VERB
ejpam-5447	218	11	the	the	DET
ejpam-5447	218	12	bec	bec	PROPN
ejpam-5447	218	13	model	model	NOUN
ejpam-5447	218	14	at	at	ADP
ejpam-5447	218	15	different	different	ADJ
ejpam-5447	218	16	values	value	NOUN
ejpam-5447	218	17	of	of	ADP
ejpam-5447	218	18	α	α	PROPN
ejpam-5447	218	19	,	,	PUNCT
ejpam-5447	218	20	β	β	NOUN
ejpam-5447	218	21	,	,	PUNCT
ejpam-5447	218	22	and	and	CCONJ
ejpam-5447	218	23	h.	h.	PROPN
ejpam-5447	218	24	method	method	PROPN
ejpam-5447	218	25	α	α	PROPN
ejpam-5447	218	26	/	/	SYM
ejpam-5447	218	27	h	h	NOUN
ejpam-5447	218	28	1	1	NUM
ejpam-5447	218	29	2	2	NUM
ejpam-5447	218	30	1	1	NUM
ejpam-5447	218	31	3	3	NUM
ejpam-5447	218	32	1	1	NUM
ejpam-5447	218	33	4	4	NUM
ejpam-5447	218	34	1	1	NUM
ejpam-5447	218	35	5	5	NUM
ejpam-5447	218	36	1	1	NUM
ejpam-5447	218	37	6	6	NUM
ejpam-5447	218	38	fsr	fsr	PROPN
ejpam-5447	218	39	ftr	ftr	PROPN
ejpam-5447	218	40	fsr	fsr	PROPN
ejpam-5447	218	41	ftr	ftr	PROPN
ejpam-5447	218	42	fsr	fsr	PROPN
ejpam-5447	218	43	ftr	ftr	PROPN
ejpam-5447	218	44	0.75	0.75	NUM
ejpam-5447	218	45	0.85	0.85	NUM
ejpam-5447	218	46	0.95	0.95	NUM
ejpam-5447	218	47	0.1345e-2	0.1345e-2	NUM
ejpam-5447	218	48	2.0134e-1	2.0134e-1	NUM
ejpam-5447	218	49	3.2590e-2	3.2590e-2	NUM
ejpam-5447	218	50	3.9521e-1	3.9521e-1	NUM
ejpam-5447	218	51	7.9325e-2	7.9325e-2	NUM
ejpam-5447	218	52	8.0265e-1	8.0265e-1	NUM
ejpam-5447	218	53	5.9510e-2	5.9510e-2	NUM
ejpam-5447	218	54	6.2581e-1	6.2581e-1	NOUN
ejpam-5447	218	55	9.0560e-2	9.0560e-2	NUM
ejpam-5447	218	56	9.9854e-1	9.9854e-1	NUM
ejpam-5447	218	57	6.0259e-2	6.0259e-2	NUM
ejpam-5447	218	58	5.2361e-1	5.2361e-1	NUM
ejpam-5447	218	59	8.2140e-3	8.2140e-3	NUM
ejpam-5447	218	60	9.3628e-2	9.3628e-2	NUM
ejpam-5447	218	61	6.2540e-3	6.2540e-3	NUM
ejpam-5447	218	62	6.9510e-2	6.9510e-2	NUM
ejpam-5447	218	63	7.0254e-3	7.0254e-3	NUM
ejpam-5447	218	64	8.0124e-2	8.0124e-2	NUM
ejpam-5447	218	65	5.6064e-3	5.6064e-3	NUM
ejpam-5447	218	66	5.9012e-2	5.9012e-2	NUM
ejpam-5447	218	67	1.5348e-3	1.5348e-3	NUM
ejpam-5447	218	68	1.6542e-2	1.6542e-2	NUM
ejpam-5447	218	69	3.2541e-3	3.2541e-3	NUM
ejpam-5447	218	70	3.9651e-2	3.9651e-2	NUM
ejpam-5447	218	71	3.5641e-4	3.5641e-4	NUM
ejpam-5447	218	72	3.9752e-2	3.9752e-2	NUM
ejpam-5447	218	73	1.0654e-4	1.0654e-4	NUM
ejpam-5447	218	74	1.9875e-3	1.9875e-3	NUM
ejpam-5447	218	75	0.0254e-4	0.0254e-4	NOUN
ejpam-5447	218	76	0.9687e-3	0.9687e-3	NUM
ejpam-5447	218	77	7.2	7.2	NUM
ejpam-5447	218	78	.	.	PUNCT
ejpam-5447	219	1	for	for	ADP
ejpam-5447	219	2	the	the	DET
ejpam-5447	219	3	ebola	ebola	PROPN
ejpam-5447	219	4	virus	virus	PROPN
ejpam-5447	219	5	disease	disease	NOUN
ejpam-5447	219	6	model	model	NOUN
ejpam-5447	219	7	here	here	ADV
ejpam-5447	219	8	,	,	PUNCT
ejpam-5447	219	9	we	we	PRON
ejpam-5447	219	10	behold	behold	VERB
ejpam-5447	219	11	the	the	DET
ejpam-5447	219	12	model	model	NOUN
ejpam-5447	219	13	(	(	PUNCT
ejpam-5447	219	14	3	3	NUM
ejpam-5447	219	15	)	)	PUNCT
ejpam-5447	219	16	with	with	ADP
ejpam-5447	219	17	various	various	ADJ
ejpam-5447	219	18	quantities	quantity	NOUN
ejpam-5447	219	19	of	of	ADP
ejpam-5447	219	20	ν	ν	NOUN
ejpam-5447	219	21	,	,	PUNCT
ejpam-5447	219	22	n	n	CCONJ
ejpam-5447	219	23	,	,	PUNCT
ejpam-5447	219	24	α	α	PROPN
ejpam-5447	219	25	,	,	PUNCT
ejpam-5447	219	26	β	β	X
ejpam-5447	219	27	,	,	PUNCT
ejpam-5447	219	28	γ	γ	PROPN
ejpam-5447	219	29	,	,	PUNCT
ejpam-5447	219	30	δ	δ	PROPN
ejpam-5447	219	31	,	,	PUNCT
ejpam-5447	219	32	ϵ	ϵ	X
ejpam-5447	219	33	,	,	PUNCT
ejpam-5447	219	34	n	n	X
ejpam-5447	219	35	in	in	ADP
ejpam-5447	219	36	[	[	X
ejpam-5447	219	37	0	0	NUM
ejpam-5447	219	38	,	,	PUNCT
ejpam-5447	219	39	5	5	NUM
ejpam-5447	219	40	]	]	PUNCT
ejpam-5447	219	41	.	.	PUNCT
ejpam-5447	220	1	we	we	PRON
ejpam-5447	220	2	take	take	VERB
ejpam-5447	220	3	two	two	NUM
ejpam-5447	220	4	cases	case	NOUN
ejpam-5447	220	5	of	of	ADP
ejpam-5447	220	6	the	the	DET
ejpam-5447	220	7	i.cs	i.cs	NOUN
ejpam-5447	220	8	ψ0	ψ0	PROPN
ejpam-5447	220	9	i	i	PRON
ejpam-5447	220	10	,	,	PUNCT
ejpam-5447	220	11	i	i	PRON
ejpam-5447	220	12	=	=	NOUN
ejpam-5447	220	13	1	1	NUM
ejpam-5447	220	14	,	,	PUNCT
ejpam-5447	220	15	2	2	NUM
ejpam-5447	220	16	,	,	PUNCT
ejpam-5447	220	17	3	3	NUM
ejpam-5447	220	18	,	,	PUNCT
ejpam-5447	220	19	4	4	NUM
ejpam-5447	220	20	as	as	SCONJ
ejpam-5447	220	21	follows	follow	VERB
ejpam-5447	220	22	[	[	X
ejpam-5447	220	23	25	25	NUM
ejpam-5447	220	24	]	]	X
ejpam-5447	220	25	:	:	PUNCT
ejpam-5447	220	26	(	(	PUNCT
ejpam-5447	220	27	i	i	NOUN
ejpam-5447	220	28	)	)	PUNCT
ejpam-5447	220	29	case	case	NOUN
ejpam-5447	220	30	1	1	NUM
ejpam-5447	220	31	:	:	PUNCT
ejpam-5447	220	32	ψ0	ψ0	PROPN
ejpam-5447	220	33	1	1	NUM
ejpam-5447	220	34	=	=	SYM
ejpam-5447	220	35	100	100	NUM
ejpam-5447	220	36	,	,	PUNCT
ejpam-5447	220	37	ψ0	ψ0	ADV
ejpam-5447	220	38	2	2	NUM
ejpam-5447	220	39	=	=	SYM
ejpam-5447	220	40	10	10	NUM
ejpam-5447	220	41	,	,	PUNCT
ejpam-5447	220	42	ψ0	ψ0	ADV
ejpam-5447	220	43	3	3	NUM
ejpam-5447	220	44	=	=	SYM
ejpam-5447	220	45	0	0	NUM
ejpam-5447	220	46	,	,	PUNCT
ejpam-5447	220	47	ψ0	ψ0	ADV
ejpam-5447	220	48	4	4	NUM
ejpam-5447	220	49	=	=	SYM
ejpam-5447	220	50	0	0	NUM
ejpam-5447	220	51	;	;	PUNCT
ejpam-5447	220	52	(	(	PUNCT
ejpam-5447	220	53	ii	ii	NOUN
ejpam-5447	220	54	)	)	PUNCT
ejpam-5447	220	55	case	case	NOUN
ejpam-5447	220	56	2	2	NUM
ejpam-5447	220	57	:	:	PUNCT
ejpam-5447	220	58	ψ0	ψ0	PROPN
ejpam-5447	220	59	1	1	NUM
ejpam-5447	220	60	=	=	SYM
ejpam-5447	220	61	70	70	NUM
ejpam-5447	220	62	,	,	PUNCT
ejpam-5447	220	63	ψ0	ψ0	NOUN
ejpam-5447	220	64	2	2	NUM
ejpam-5447	220	65	=	=	SYM
ejpam-5447	220	66	2	2	NUM
ejpam-5447	220	67	,	,	PUNCT
ejpam-5447	220	68	ψ0	ψ0	ADV
ejpam-5447	220	69	3	3	NUM
ejpam-5447	220	70	=	=	SYM
ejpam-5447	220	71	0	0	NUM
ejpam-5447	220	72	,	,	PUNCT
ejpam-5447	220	73	ψ0	ψ0	ADV
ejpam-5447	220	74	4	4	NUM
ejpam-5447	220	75	=	=	SYM
ejpam-5447	220	76	0	0	NUM
ejpam-5447	220	77	.	.	PUNCT
ejpam-5447	220	78	m.	m.	NOUN
ejpam-5447	220	79	m.	m.	PROPN
ejpam-5447	220	80	khader	khader	PROPN
ejpam-5447	220	81	,	,	PUNCT
ejpam-5447	220	82	m.	m.	NOUN
ejpam-5447	220	83	m.	m.	NOUN
ejpam-5447	220	84	babatin	babatin	PROPN
ejpam-5447	220	85	/	/	SYM
ejpam-5447	220	86	eur	eur	PROPN
ejpam-5447	220	87	.	.	PUNCT
ejpam-5447	221	1	j.	j.	PROPN
ejpam-5447	221	2	pure	pure	PROPN
ejpam-5447	221	3	appl	appl	PROPN
ejpam-5447	221	4	.	.	PROPN
ejpam-5447	221	5	math	math	PROPN
ejpam-5447	221	6	,	,	PUNCT
ejpam-5447	221	7	17	17	NUM
ejpam-5447	221	8	(	(	PUNCT
ejpam-5447	221	9	4	4	NUM
ejpam-5447	221	10	)	)	PUNCT
ejpam-5447	221	11	(	(	PUNCT
ejpam-5447	221	12	2024	2024	NUM
ejpam-5447	221	13	)	)	PUNCT
ejpam-5447	221	14	,	,	PUNCT
ejpam-5447	221	15	3167	3167	NUM
ejpam-5447	221	16	-	-	SYM
ejpam-5447	221	17	3184	3184	NUM
ejpam-5447	221	18	3177	3177	NUM
ejpam-5447	221	19	figure	figure	NOUN
ejpam-5447	221	20	3	3	NUM
ejpam-5447	221	21	:	:	PUNCT
ejpam-5447	221	22	the	the	DET
ejpam-5447	221	23	numerical	numerical	ADJ
ejpam-5447	221	24	solution	solution	NOUN
ejpam-5447	221	25	with	with	ADP
ejpam-5447	221	26	various	various	ADJ
ejpam-5447	221	27	values	value	NOUN
ejpam-5447	221	28	of	of	ADP
ejpam-5447	221	29	α	α	PROPN
ejpam-5447	221	30	>	>	X
ejpam-5447	221	31	0.55	0.55	NUM
ejpam-5447	221	32	&	&	CCONJ
ejpam-5447	221	33	β	β	X
ejpam-5447	221	34	>	>	X
ejpam-5447	221	35	0.55	0.55	NUM
ejpam-5447	221	36	with	with	ADP
ejpam-5447	221	37	n	n	NOUN
ejpam-5447	221	38	=	=	NUM
ejpam-5447	221	39	200	200	NUM
ejpam-5447	221	40	.	.	PUNCT
ejpam-5447	221	41	figure	figure	VERB
ejpam-5447	221	42	4	4	NUM
ejpam-5447	221	43	:	:	PUNCT
ejpam-5447	221	44	the	the	DET
ejpam-5447	221	45	numerical	numerical	ADJ
ejpam-5447	221	46	solution	solution	NOUN
ejpam-5447	221	47	with	with	ADP
ejpam-5447	221	48	various	various	ADJ
ejpam-5447	221	49	values	value	NOUN
ejpam-5447	221	50	of	of	ADP
ejpam-5447	221	51	α	α	PRON
ejpam-5447	221	52	≤	≤	NOUN
ejpam-5447	221	53	0.55	0.55	NUM
ejpam-5447	221	54	&	&	CCONJ
ejpam-5447	221	55	β	β	X
ejpam-5447	221	56	≤	≤	NUM
ejpam-5447	221	57	0.55	0.55	NUM
ejpam-5447	221	58	with	with	ADP
ejpam-5447	221	59	n	n	NOUN
ejpam-5447	221	60	=	=	NUM
ejpam-5447	221	61	200	200	NUM
ejpam-5447	221	62	.	.	PUNCT
ejpam-5447	222	1	we	we	PRON
ejpam-5447	222	2	give	give	VERB
ejpam-5447	222	3	a	a	DET
ejpam-5447	222	4	numerical	numerical	ADJ
ejpam-5447	222	5	simulation	simulation	NOUN
ejpam-5447	222	6	for	for	ADP
ejpam-5447	222	7	the	the	DET
ejpam-5447	222	8	evd	evd	NOUN
ejpam-5447	222	9	system	system	NOUN
ejpam-5447	222	10	by	by	ADP
ejpam-5447	222	11	implementing	implement	VERB
ejpam-5447	222	12	the	the	DET
ejpam-5447	222	13	indicated	indicate	VERB
ejpam-5447	222	14	scheme	scheme	NOUN
ejpam-5447	222	15	during	during	ADP
ejpam-5447	222	16	in	in	ADP
ejpam-5447	222	17	figures	figure	NOUN
ejpam-5447	222	18	5	5	NUM
ejpam-5447	222	19	-	-	SYM
ejpam-5447	222	20	9	9	NUM
ejpam-5447	222	21	.	.	PUNCT
ejpam-5447	223	1	(	(	PUNCT
ejpam-5447	223	2	i	i	NOUN
ejpam-5447	223	3	)	)	PUNCT
ejpam-5447	223	4	figure	figure	NOUN
ejpam-5447	223	5	5	5	NUM
ejpam-5447	223	6	recognizes	recognize	VERB
ejpam-5447	223	7	a	a	DET
ejpam-5447	223	8	comparison	comparison	NOUN
ejpam-5447	223	9	between	between	ADP
ejpam-5447	223	10	the	the	DET
ejpam-5447	223	11	numerical	numerical	ADJ
ejpam-5447	223	12	solution	solution	NOUN
ejpam-5447	223	13	by	by	ADP
ejpam-5447	223	14	the	the	DET
ejpam-5447	223	15	proposed	propose	VERB
ejpam-5447	223	16	scheme	scheme	NOUN
ejpam-5447	223	17	&	&	CCONJ
ejpam-5447	223	18	the	the	DET
ejpam-5447	223	19	solution	solution	NOUN
ejpam-5447	223	20	by	by	ADP
ejpam-5447	223	21	rk4	rk4	NOUN
ejpam-5447	223	22	m	m	VERB
ejpam-5447	223	23	(	(	PUNCT
ejpam-5447	223	24	at	at	ADP
ejpam-5447	223	25	ν	ν	NOUN
ejpam-5447	223	26	=	=	SYM
ejpam-5447	223	27	1	1	NUM
ejpam-5447	223	28	)	)	PUNCT
ejpam-5447	223	29	with	with	ADP
ejpam-5447	223	30	α	α	PROPN
ejpam-5447	223	31	=	=	SYM
ejpam-5447	223	32	0.001	0.001	NUM
ejpam-5447	223	33	,	,	PUNCT
ejpam-5447	223	34	γ	γ	X
ejpam-5447	223	35	=	=	NOUN
ejpam-5447	223	36	0.01	0.01	NUM
ejpam-5447	223	37	,	,	PUNCT
ejpam-5447	223	38	β	β	X
ejpam-5447	223	39	=	=	SYM
ejpam-5447	223	40	0.002	0.002	NUM
ejpam-5447	223	41	,	,	PUNCT
ejpam-5447	223	42	ϵ	ϵ	X
ejpam-5447	223	43	=	=	SYM
ejpam-5447	223	44	0.006	0.006	NUM
ejpam-5447	223	45	,	,	PUNCT
ejpam-5447	223	46	δ	δ	X
ejpam-5447	223	47	=	=	NOUN
ejpam-5447	223	48	0.004	0.004	NUM
ejpam-5447	223	49	,	,	PUNCT
ejpam-5447	223	50	&	&	CCONJ
ejpam-5447	223	51	n	n	CCONJ
ejpam-5447	223	52	=	=	NUM
ejpam-5447	223	53	40	40	NUM
ejpam-5447	223	54	,	,	PUNCT
ejpam-5447	223	55	the	the	DET
ejpam-5447	223	56	i.cs	i.cs	NOUN
ejpam-5447	223	57	are	be	AUX
ejpam-5447	223	58	given	give	VERB
ejpam-5447	223	59	by	by	ADP
ejpam-5447	223	60	case	case	NOUN
ejpam-5447	223	61	2	2	NUM
ejpam-5447	223	62	.	.	PUNCT
ejpam-5447	223	63	(	(	PUNCT
ejpam-5447	223	64	ii	ii	NOUN
ejpam-5447	223	65	)	)	PUNCT
ejpam-5447	223	66	figure	figure	NOUN
ejpam-5447	223	67	6	6	NUM
ejpam-5447	223	68	gives	give	VERB
ejpam-5447	223	69	a	a	DET
ejpam-5447	223	70	comparison	comparison	NOUN
ejpam-5447	223	71	between	between	ADP
ejpam-5447	223	72	the	the	DET
ejpam-5447	223	73	numerical	numerical	ADJ
ejpam-5447	223	74	solutions	solution	NOUN
ejpam-5447	223	75	by	by	ADP
ejpam-5447	223	76	the	the	DET
ejpam-5447	223	77	introduced	introduce	VERB
ejpam-5447	223	78	scheme	scheme	NOUN
ejpam-5447	223	79	and	and	CCONJ
ejpam-5447	223	80	the	the	DET
ejpam-5447	223	81	approximate	approximate	ADJ
ejpam-5447	223	82	solution	solution	NOUN
ejpam-5447	223	83	by	by	ADP
ejpam-5447	223	84	applying	apply	VERB
ejpam-5447	223	85	the	the	DET
ejpam-5447	223	86	scheme	scheme	NOUN
ejpam-5447	223	87	in	in	ADP
ejpam-5447	223	88	[	[	X
ejpam-5447	223	89	25	25	NUM
ejpam-5447	223	90	]	]	PUNCT
ejpam-5447	223	91	at	at	ADP
ejpam-5447	223	92	ν	ν	X
ejpam-5447	223	93	=	=	SYM
ejpam-5447	223	94	0.9	0.9	NUM
ejpam-5447	223	95	with	with	ADP
ejpam-5447	223	96	the	the	DET
ejpam-5447	223	97	i.cs	i.cs	NOUN
ejpam-5447	223	98	given	give	VERB
ejpam-5447	223	99	by	by	ADP
ejpam-5447	223	100	case	case	NOUN
ejpam-5447	223	101	1	1	NUM
ejpam-5447	223	102	,	,	PUNCT
ejpam-5447	223	103	and	and	CCONJ
ejpam-5447	223	104	the	the	DET
ejpam-5447	223	105	values	value	NOUN
ejpam-5447	223	106	of	of	ADP
ejpam-5447	223	107	β	β	PROPN
ejpam-5447	223	108	,	,	PUNCT
ejpam-5447	223	109	α	α	PROPN
ejpam-5447	223	110	,	,	PUNCT
ejpam-5447	223	111	γ	γ	PROPN
ejpam-5447	223	112	,	,	PUNCT
ejpam-5447	223	113	δ	δ	PROPN
ejpam-5447	223	114	,	,	PUNCT
ejpam-5447	223	115	ϵ	ϵ	X
ejpam-5447	223	116	,	,	PUNCT
ejpam-5447	223	117	n	n	PRON
ejpam-5447	223	118	are	be	AUX
ejpam-5447	223	119	the	the	DET
ejpam-5447	223	120	same	same	ADJ
ejpam-5447	223	121	in	in	ADP
ejpam-5447	223	122	figure	figure	NOUN
ejpam-5447	223	123	5	5	NUM
ejpam-5447	223	124	.	.	PUNCT
ejpam-5447	223	125	(	(	PUNCT
ejpam-5447	223	126	iii	iii	X
ejpam-5447	223	127	)	)	PUNCT
ejpam-5447	223	128	figure	figure	NOUN
ejpam-5447	223	129	7	7	NUM
ejpam-5447	223	130	gives	give	VERB
ejpam-5447	223	131	the	the	DET
ejpam-5447	223	132	relative	relative	ADJ
ejpam-5447	223	133	approximate	approximate	ADJ
ejpam-5447	223	134	error	error	NOUN
ejpam-5447	223	135	(	(	PUNCT
ejpam-5447	223	136	rae	rae	NOUN
ejpam-5447	223	137	)	)	PUNCT
ejpam-5447	223	138	with	with	ADP
ejpam-5447	223	139	ν	ν	X
ejpam-5447	223	140	=	=	SYM
ejpam-5447	223	141	0.95	0.95	NUM
ejpam-5447	223	142	for	for	ADP
ejpam-5447	223	143	the	the	DET
ejpam-5447	223	144	values	value	NOUN
ejpam-5447	223	145	n	n	NOUN
ejpam-5447	223	146	=	=	SYM
ejpam-5447	223	147	40	40	NUM
ejpam-5447	223	148	,	,	PUNCT
ejpam-5447	223	149	α	α	NOUN
ejpam-5447	223	150	=	=	NOUN
ejpam-5447	223	151	0.01	0.01	NUM
ejpam-5447	223	152	,	,	PUNCT
ejpam-5447	223	153	β	β	X
ejpam-5447	223	154	=	=	SYM
ejpam-5447	223	155	0.02	0.02	NUM
ejpam-5447	223	156	,	,	PUNCT
ejpam-5447	223	157	γ	γ	X
ejpam-5447	223	158	=	=	NOUN
ejpam-5447	223	159	0.01	0.01	NUM
ejpam-5447	223	160	,	,	PUNCT
ejpam-5447	223	161	ϵ	ϵ	X
ejpam-5447	223	162	=	=	SYM
ejpam-5447	223	163	0.6	0.6	NUM
ejpam-5447	223	164	,	,	PUNCT
ejpam-5447	223	165	δ	δ	PROPN
ejpam-5447	223	166	=	=	SYM
ejpam-5447	223	167	0	0	NUM
ejpam-5447	223	168	,	,	PUNCT
ejpam-5447	223	169	,	,	PUNCT
ejpam-5447	223	170	with	with	ADP
ejpam-5447	223	171	i.cs	i.cs	NOUN
ejpam-5447	223	172	given	give	VERB
ejpam-5447	223	173	by	by	ADP
ejpam-5447	223	174	case	case	NOUN
ejpam-5447	223	175	1	1	NUM
ejpam-5447	223	176	.	.	PUNCT
ejpam-5447	223	177	(	(	PUNCT
ejpam-5447	223	178	iv	iv	X
ejpam-5447	223	179	)	)	PUNCT
ejpam-5447	223	180	figure	figure	NOUN
ejpam-5447	223	181	8	8	NUM
ejpam-5447	223	182	shows	show	VERB
ejpam-5447	223	183	the	the	DET
ejpam-5447	223	184	impact	impact	NOUN
ejpam-5447	223	185	of	of	ADP
ejpam-5447	223	186	the	the	DET
ejpam-5447	223	187	fractional	fractional	ADJ
ejpam-5447	223	188	order	order	NOUN
ejpam-5447	223	189	ν	ν	NOUN
ejpam-5447	223	190	on	on	ADP
ejpam-5447	223	191	the	the	DET
ejpam-5447	223	192	numerical	numerical	ADJ
ejpam-5447	223	193	solution	solution	NOUN
ejpam-5447	223	194	with	with	ADP
ejpam-5447	223	195	various	various	ADJ
ejpam-5447	223	196	quantities	quantity	NOUN
ejpam-5447	223	197	of	of	ADP
ejpam-5447	223	198	ν	ν	NOUN
ejpam-5447	223	199	=	=	SYM
ejpam-5447	223	200	1	1	NUM
ejpam-5447	223	201	,	,	PUNCT
ejpam-5447	223	202	0.9	0.9	NUM
ejpam-5447	223	203	,	,	PUNCT
ejpam-5447	223	204	0.8	0.8	NUM
ejpam-5447	223	205	,	,	PUNCT
ejpam-5447	223	206	0.7	0.7	NUM
ejpam-5447	223	207	,	,	PUNCT
ejpam-5447	223	208	with	with	ADP
ejpam-5447	223	209	i.cs	i.cs	NOUN
ejpam-5447	223	210	given	give	VERB
ejpam-5447	223	211	by	by	ADP
ejpam-5447	223	212	case	case	NOUN
ejpam-5447	223	213	2	2	NUM
ejpam-5447	223	214	,	,	PUNCT
ejpam-5447	223	215	and	and	CCONJ
ejpam-5447	223	216	the	the	DET
ejpam-5447	223	217	values	value	NOUN
ejpam-5447	223	218	of	of	ADP
ejpam-5447	223	219	β	β	PROPN
ejpam-5447	223	220	,	,	PUNCT
ejpam-5447	223	221	α	α	PROPN
ejpam-5447	223	222	,	,	PUNCT
ejpam-5447	223	223	γ	γ	PROPN
ejpam-5447	223	224	,	,	PUNCT
ejpam-5447	223	225	δ	δ	PROPN
ejpam-5447	223	226	,	,	PUNCT
ejpam-5447	223	227	ϵ	ϵ	X
ejpam-5447	223	228	,	,	PUNCT
ejpam-5447	223	229	n	n	PRON
ejpam-5447	223	230	are	be	AUX
ejpam-5447	223	231	the	the	DET
ejpam-5447	223	232	same	same	ADJ
ejpam-5447	223	233	in	in	ADP
ejpam-5447	223	234	figure	figure	NOUN
ejpam-5447	223	235	5	5	NUM
ejpam-5447	223	236	.	.	PUNCT
ejpam-5447	223	237	m.	m.	NOUN
ejpam-5447	223	238	m.	m.	PROPN
ejpam-5447	223	239	khader	khader	PROPN
ejpam-5447	223	240	,	,	PUNCT
ejpam-5447	223	241	m.	m.	NOUN
ejpam-5447	223	242	m.	m.	NOUN
ejpam-5447	223	243	babatin	babatin	PROPN
ejpam-5447	223	244	/	/	SYM
ejpam-5447	223	245	eur	eur	PROPN
ejpam-5447	223	246	.	.	PUNCT
ejpam-5447	224	1	j.	j.	PROPN
ejpam-5447	224	2	pure	pure	PROPN
ejpam-5447	224	3	appl	appl	PROPN
ejpam-5447	224	4	.	.	PROPN
ejpam-5447	224	5	math	math	PROPN
ejpam-5447	224	6	,	,	PUNCT
ejpam-5447	224	7	17	17	NUM
ejpam-5447	224	8	(	(	PUNCT
ejpam-5447	224	9	4	4	NUM
ejpam-5447	224	10	)	)	PUNCT
ejpam-5447	224	11	(	(	PUNCT
ejpam-5447	224	12	2024	2024	NUM
ejpam-5447	224	13	)	)	PUNCT
ejpam-5447	224	14	,	,	PUNCT
ejpam-5447	224	15	3167	3167	NUM
ejpam-5447	224	16	-	-	SYM
ejpam-5447	224	17	3184	3184	NUM
ejpam-5447	224	18	3178	3178	NUM
ejpam-5447	224	19	figure	figure	NOUN
ejpam-5447	224	20	5	5	NUM
ejpam-5447	224	21	.	.	PUNCT
ejpam-5447	224	22	comparison	comparison	NOUN
ejpam-5447	224	23	between	between	ADP
ejpam-5447	224	24	the	the	DET
ejpam-5447	224	25	obtained	obtain	VERB
ejpam-5447	224	26	numerical	numerical	ADJ
ejpam-5447	224	27	solutions	solution	NOUN
ejpam-5447	224	28	&	&	CCONJ
ejpam-5447	224	29	the	the	DET
ejpam-5447	224	30	rk4	rk4	NOUN
ejpam-5447	224	31	m	m	NOUN
ejpam-5447	224	32	with	with	ADP
ejpam-5447	224	33	the	the	DET
ejpam-5447	224	34	i.cs	i.cs	NOUN
ejpam-5447	224	35	given	give	VERB
ejpam-5447	224	36	by	by	ADP
ejpam-5447	224	37	case	case	NOUN
ejpam-5447	224	38	2	2	NUM
ejpam-5447	224	39	.	.	PUNCT
ejpam-5447	224	40	(	(	PUNCT
ejpam-5447	224	41	v	v	NOUN
ejpam-5447	224	42	)	)	PUNCT
ejpam-5447	224	43	figure	figure	NOUN
ejpam-5447	224	44	9	9	NUM
ejpam-5447	224	45	shows	show	VERB
ejpam-5447	224	46	the	the	DET
ejpam-5447	224	47	impact	impact	NOUN
ejpam-5447	224	48	of	of	ADP
ejpam-5447	224	49	the	the	DET
ejpam-5447	224	50	fractional	fractional	ADJ
ejpam-5447	224	51	order	order	NOUN
ejpam-5447	224	52	ν	ν	NOUN
ejpam-5447	224	53	on	on	ADP
ejpam-5447	224	54	the	the	DET
ejpam-5447	224	55	numerical	numerical	ADJ
ejpam-5447	224	56	solution	solution	NOUN
ejpam-5447	224	57	with	with	ADP
ejpam-5447	224	58	various	various	ADJ
ejpam-5447	224	59	quantities	quantity	NOUN
ejpam-5447	224	60	of	of	ADP
ejpam-5447	224	61	ν	ν	NOUN
ejpam-5447	224	62	=	=	SYM
ejpam-5447	224	63	0.5	0.5	NUM
ejpam-5447	224	64	,	,	PUNCT
ejpam-5447	224	65	0.4	0.4	NUM
ejpam-5447	224	66	,	,	PUNCT
ejpam-5447	224	67	0.3	0.3	NUM
ejpam-5447	224	68	,	,	PUNCT
ejpam-5447	224	69	0.2	0.2	NUM
ejpam-5447	224	70	,	,	PUNCT
ejpam-5447	224	71	with	with	ADP
ejpam-5447	224	72	i.cs	i.cs	NOUN
ejpam-5447	224	73	given	give	VERB
ejpam-5447	224	74	by	by	ADP
ejpam-5447	224	75	case	case	NOUN
ejpam-5447	224	76	2	2	NUM
ejpam-5447	224	77	,	,	PUNCT
ejpam-5447	224	78	and	and	CCONJ
ejpam-5447	224	79	the	the	DET
ejpam-5447	224	80	values	value	NOUN
ejpam-5447	224	81	of	of	ADP
ejpam-5447	224	82	β	β	PROPN
ejpam-5447	224	83	,	,	PUNCT
ejpam-5447	224	84	α	α	PROPN
ejpam-5447	224	85	,	,	PUNCT
ejpam-5447	224	86	γ	γ	PROPN
ejpam-5447	224	87	,	,	PUNCT
ejpam-5447	224	88	δ	δ	PROPN
ejpam-5447	224	89	,	,	PUNCT
ejpam-5447	224	90	ϵ	ϵ	X
ejpam-5447	224	91	,	,	PUNCT
ejpam-5447	224	92	n	n	PRON
ejpam-5447	224	93	are	be	AUX
ejpam-5447	224	94	the	the	DET
ejpam-5447	224	95	same	same	ADJ
ejpam-5447	224	96	in	in	ADP
ejpam-5447	224	97	figure	figure	NOUN
ejpam-5447	224	98	5	5	NUM
ejpam-5447	224	99	.	.	PUNCT
ejpam-5447	224	100	m.	m.	NOUN
ejpam-5447	224	101	m.	m.	PROPN
ejpam-5447	224	102	khader	khader	PROPN
ejpam-5447	224	103	,	,	PUNCT
ejpam-5447	224	104	m.	m.	NOUN
ejpam-5447	224	105	m.	m.	NOUN
ejpam-5447	224	106	babatin	babatin	PROPN
ejpam-5447	224	107	/	/	SYM
ejpam-5447	224	108	eur	eur	PROPN
ejpam-5447	224	109	.	.	PUNCT
ejpam-5447	225	1	j.	j.	PROPN
ejpam-5447	225	2	pure	pure	PROPN
ejpam-5447	225	3	appl	appl	PROPN
ejpam-5447	225	4	.	.	PROPN
ejpam-5447	225	5	math	math	PROPN
ejpam-5447	225	6	,	,	PUNCT
ejpam-5447	225	7	17	17	NUM
ejpam-5447	225	8	(	(	PUNCT
ejpam-5447	225	9	4	4	NUM
ejpam-5447	225	10	)	)	PUNCT
ejpam-5447	225	11	(	(	PUNCT
ejpam-5447	225	12	2024	2024	NUM
ejpam-5447	225	13	)	)	PUNCT
ejpam-5447	225	14	,	,	PUNCT
ejpam-5447	225	15	3167	3167	NUM
ejpam-5447	225	16	-	-	SYM
ejpam-5447	225	17	3184	3184	NUM
ejpam-5447	225	18	3179	3179	NUM
ejpam-5447	225	19	figure	figure	NOUN
ejpam-5447	225	20	6	6	NUM
ejpam-5447	225	21	.	.	PUNCT
ejpam-5447	225	22	comparison	comparison	NOUN
ejpam-5447	225	23	between	between	ADP
ejpam-5447	225	24	the	the	DET
ejpam-5447	225	25	obtained	obtain	VERB
ejpam-5447	225	26	numerical	numerical	ADJ
ejpam-5447	225	27	solution	solution	NOUN
ejpam-5447	225	28	&	&	CCONJ
ejpam-5447	225	29	the	the	DET
ejpam-5447	225	30	approximate	approximate	ADJ
ejpam-5447	225	31	solution	solution	NOUN
ejpam-5447	225	32	[	[	X
ejpam-5447	225	33	25	25	NUM
ejpam-5447	225	34	]	]	PUNCT
ejpam-5447	225	35	with	with	ADP
ejpam-5447	225	36	the	the	DET
ejpam-5447	225	37	i.cs	i.cs	NOUN
ejpam-5447	225	38	given	give	VERB
ejpam-5447	225	39	by	by	ADP
ejpam-5447	225	40	case	case	NOUN
ejpam-5447	225	41	1	1	NUM
ejpam-5447	225	42	.	.	PUNCT
ejpam-5447	225	43	figure	figure	VERB
ejpam-5447	225	44	7	7	NUM
ejpam-5447	225	45	.	.	PUNCT
ejpam-5447	226	1	the	the	DET
ejpam-5447	226	2	rae	rae	NOUN
ejpam-5447	226	3	with	with	ADP
ejpam-5447	226	4	ν	ν	X
ejpam-5447	226	5	=	=	SYM
ejpam-5447	226	6	0.95	0.95	NUM
ejpam-5447	226	7	for	for	ADP
ejpam-5447	226	8	the	the	DET
ejpam-5447	226	9	i.cs	i.cs	NOUN
ejpam-5447	226	10	given	give	VERB
ejpam-5447	226	11	by	by	ADP
ejpam-5447	226	12	case	case	NOUN
ejpam-5447	226	13	1	1	NUM
ejpam-5447	226	14	.	.	PUNCT
ejpam-5447	226	15	m.	m.	NOUN
ejpam-5447	226	16	m.	m.	PROPN
ejpam-5447	226	17	khader	khader	PROPN
ejpam-5447	226	18	,	,	PUNCT
ejpam-5447	226	19	m.	m.	NOUN
ejpam-5447	226	20	m.	m.	NOUN
ejpam-5447	226	21	babatin	babatin	PROPN
ejpam-5447	226	22	/	/	SYM
ejpam-5447	226	23	eur	eur	PROPN
ejpam-5447	226	24	.	.	PUNCT
ejpam-5447	227	1	j.	j.	PROPN
ejpam-5447	227	2	pure	pure	PROPN
ejpam-5447	227	3	appl	appl	PROPN
ejpam-5447	227	4	.	.	PROPN
ejpam-5447	227	5	math	math	PROPN
ejpam-5447	227	6	,	,	PUNCT
ejpam-5447	227	7	17	17	NUM
ejpam-5447	227	8	(	(	PUNCT
ejpam-5447	227	9	4	4	NUM
ejpam-5447	227	10	)	)	PUNCT
ejpam-5447	227	11	(	(	PUNCT
ejpam-5447	227	12	2024	2024	NUM
ejpam-5447	227	13	)	)	PUNCT
ejpam-5447	227	14	,	,	PUNCT
ejpam-5447	227	15	3167	3167	NUM
ejpam-5447	227	16	-	-	SYM
ejpam-5447	227	17	3184	3184	NUM
ejpam-5447	227	18	3180	3180	NUM
ejpam-5447	227	19	figure	figure	NOUN
ejpam-5447	227	20	8	8	NUM
ejpam-5447	227	21	.	.	PUNCT
ejpam-5447	228	1	the	the	DET
ejpam-5447	228	2	influence	influence	NOUN
ejpam-5447	228	3	of	of	ADP
ejpam-5447	228	4	the	the	DET
ejpam-5447	228	5	fractional	fractional	ADJ
ejpam-5447	228	6	-	-	PUNCT
ejpam-5447	228	7	order	order	NOUN
ejpam-5447	228	8	ν	ν	X
ejpam-5447	228	9	>	>	X
ejpam-5447	228	10	0.5	0.5	NUM
ejpam-5447	228	11	on	on	ADP
ejpam-5447	228	12	the	the	DET
ejpam-5447	228	13	numerical	numerical	ADJ
ejpam-5447	228	14	solution	solution	NOUN
ejpam-5447	228	15	,	,	PUNCT
ejpam-5447	228	16	using	use	VERB
ejpam-5447	228	17	initial	initial	ADJ
ejpam-5447	228	18	conditions	condition	NOUN
ejpam-5447	228	19	given	give	VERB
ejpam-5447	228	20	in	in	ADP
ejpam-5447	228	21	case	case	NOUN
ejpam-5447	228	22	2	2	NUM
ejpam-5447	228	23	.	.	PUNCT
ejpam-5447	228	24	by	by	ADP
ejpam-5447	228	25	looking	look	VERB
ejpam-5447	228	26	closely	closely	ADV
ejpam-5447	228	27	at	at	ADP
ejpam-5447	228	28	these	these	DET
ejpam-5447	228	29	five	five	NUM
ejpam-5447	228	30	figures	figure	NOUN
ejpam-5447	228	31	,	,	PUNCT
ejpam-5447	228	32	we	we	PRON
ejpam-5447	228	33	can	can	AUX
ejpam-5447	228	34	assert	assert	VERB
ejpam-5447	228	35	and	and	CCONJ
ejpam-5447	228	36	confirm	confirm	VERB
ejpam-5447	228	37	that	that	SCONJ
ejpam-5447	228	38	the	the	DET
ejpam-5447	228	39	behavior	behavior	NOUN
ejpam-5447	228	40	of	of	ADP
ejpam-5447	228	41	the	the	DET
ejpam-5447	228	42	numerical	numerical	ADJ
ejpam-5447	228	43	solution	solution	NOUN
ejpam-5447	228	44	is	be	AUX
ejpam-5447	228	45	based	base	VERB
ejpam-5447	228	46	on	on	ADP
ejpam-5447	228	47	the	the	DET
ejpam-5447	228	48	different	different	ADJ
ejpam-5447	228	49	amounts	amount	NOUN
ejpam-5447	228	50	of	of	ADP
ejpam-5447	228	51	ν	ν	NOUN
ejpam-5447	228	52	,	,	PUNCT
ejpam-5447	228	53	β	β	X
ejpam-5447	228	54	,	,	PUNCT
ejpam-5447	228	55	α	α	PROPN
ejpam-5447	228	56	,	,	PUNCT
ejpam-5447	228	57	γ	γ	PROPN
ejpam-5447	228	58	,	,	PUNCT
ejpam-5447	228	59	δ	δ	PROPN
ejpam-5447	228	60	,	,	PUNCT
ejpam-5447	228	61	ϵ	ϵ	X
ejpam-5447	228	62	,	,	PUNCT
ejpam-5447	228	63	n	n	PROPN
ejpam-5447	228	64	;	;	PUNCT
ejpam-5447	228	65	it	it	PRON
ejpam-5447	228	66	is	be	AUX
ejpam-5447	228	67	a	a	DET
ejpam-5447	228	68	clear	clear	ADJ
ejpam-5447	228	69	indication	indication	NOUN
ejpam-5447	228	70	that	that	SCONJ
ejpam-5447	228	71	the	the	DET
ejpam-5447	228	72	presented	present	VERB
ejpam-5447	228	73	numerical	numerical	ADJ
ejpam-5447	228	74	scheme	scheme	NOUN
ejpam-5447	228	75	has	have	AUX
ejpam-5447	228	76	been	be	AUX
ejpam-5447	228	77	well	well	ADV
ejpam-5447	228	78	implemented	implement	VERB
ejpam-5447	228	79	to	to	PART
ejpam-5447	228	80	solve	solve	VERB
ejpam-5447	228	81	the	the	DET
ejpam-5447	228	82	given	give	VERB
ejpam-5447	228	83	system	system	NOUN
ejpam-5447	228	84	in	in	ADP
ejpam-5447	228	85	its	its	PRON
ejpam-5447	228	86	fractional	fractional	ADJ
ejpam-5447	228	87	form	form	NOUN
ejpam-5447	228	88	with	with	ADP
ejpam-5447	228	89	this	this	DET
ejpam-5447	228	90	type	type	NOUN
ejpam-5447	228	91	of	of	ADP
ejpam-5447	228	92	derivatives	derivative	NOUN
ejpam-5447	228	93	with	with	ADP
ejpam-5447	228	94	small	small	ADJ
ejpam-5447	228	95	and	and	CCONJ
ejpam-5447	228	96	large	large	ADJ
ejpam-5447	228	97	values	value	NOUN
ejpam-5447	228	98	of	of	ADP
ejpam-5447	228	99	the	the	DET
ejpam-5447	228	100	fractional	fractional	ADJ
ejpam-5447	228	101	order	order	NOUN
ejpam-5447	228	102	.	.	PUNCT
ejpam-5447	229	1	in	in	ADP
ejpam-5447	229	2	addition	addition	NOUN
ejpam-5447	229	3	,	,	PUNCT
ejpam-5447	229	4	we	we	PRON
ejpam-5447	229	5	can	can	AUX
ejpam-5447	229	6	also	also	ADV
ejpam-5447	229	7	emphasize	emphasize	VERB
ejpam-5447	229	8	the	the	DET
ejpam-5447	229	9	efficiency	efficiency	NOUN
ejpam-5447	229	10	of	of	ADP
ejpam-5447	229	11	the	the	DET
ejpam-5447	229	12	suggested	suggest	VERB
ejpam-5447	229	13	scheme	scheme	NOUN
ejpam-5447	229	14	and	and	CCONJ
ejpam-5447	229	15	note	note	VERB
ejpam-5447	229	16	that	that	SCONJ
ejpam-5447	229	17	all	all	DET
ejpam-5447	229	18	studies	study	NOUN
ejpam-5447	229	19	related	relate	VERB
ejpam-5447	229	20	to	to	PART
ejpam-5447	229	21	convergence	convergence	NOUN
ejpam-5447	229	22	analysis	analysis	NOUN
ejpam-5447	229	23	have	have	AUX
ejpam-5447	229	24	been	be	AUX
ejpam-5447	229	25	achieved	achieve	VERB
ejpam-5447	229	26	.	.	PUNCT
ejpam-5447	230	1	finally	finally	ADV
ejpam-5447	230	2	,	,	PUNCT
ejpam-5447	230	3	the	the	DET
ejpam-5447	230	4	major	major	ADJ
ejpam-5447	230	5	and	and	CCONJ
ejpam-5447	230	6	important	important	ADJ
ejpam-5447	230	7	observation	observation	NOUN
ejpam-5447	230	8	is	be	AUX
ejpam-5447	230	9	that	that	SCONJ
ejpam-5447	230	10	the	the	DET
ejpam-5447	230	11	behavior	behavior	NOUN
ejpam-5447	230	12	of	of	ADP
ejpam-5447	230	13	the	the	DET
ejpam-5447	230	14	numerical	numerical	ADJ
ejpam-5447	230	15	solutions	solution	NOUN
ejpam-5447	230	16	agrees	agree	VERB
ejpam-5447	230	17	excellently	excellently	ADV
ejpam-5447	230	18	with	with	ADP
ejpam-5447	230	19	the	the	DET
ejpam-5447	230	20	real	real	ADJ
ejpam-5447	230	21	meaning	meaning	NOUN
ejpam-5447	230	22	of	of	ADP
ejpam-5447	230	23	the	the	DET
ejpam-5447	230	24	problem	problem	NOUN
ejpam-5447	230	25	and	and	CCONJ
ejpam-5447	230	26	meets	meet	VERB
ejpam-5447	230	27	the	the	DET
ejpam-5447	230	28	same	same	ADJ
ejpam-5447	230	29	behavior	behavior	NOUN
ejpam-5447	230	30	of	of	ADP
ejpam-5447	230	31	the	the	DET
ejpam-5447	230	32	system	system	NOUN
ejpam-5447	230	33	ψk(t	ψk(t	NOUN
ejpam-5447	230	34	)	)	PUNCT
ejpam-5447	230	35	,	,	PUNCT
ejpam-5447	230	36	k	k	PROPN
ejpam-5447	231	1	=	=	SYM
ejpam-5447	231	2	1	1	NUM
ejpam-5447	231	3	,	,	PUNCT
ejpam-5447	231	4	2	2	NUM
ejpam-5447	231	5	,	,	PUNCT
ejpam-5447	231	6	3	3	NUM
ejpam-5447	231	7	,	,	PUNCT
ejpam-5447	231	8	4	4	NUM
ejpam-5447	231	9	through	through	ADP
ejpam-5447	231	10	different	different	ADJ
ejpam-5447	231	11	values	value	NOUN
ejpam-5447	231	12	of	of	ADP
ejpam-5447	231	13	these	these	DET
ejpam-5447	231	14	variables	variable	NOUN
ejpam-5447	231	15	.	.	PUNCT
ejpam-5447	232	1	in	in	ADP
ejpam-5447	232	2	addition	addition	NOUN
ejpam-5447	232	3	,	,	PUNCT
ejpam-5447	232	4	to	to	PART
ejpam-5447	232	5	verify	verify	VERB
ejpam-5447	232	6	the	the	DET
ejpam-5447	232	7	numerical	numerical	ADJ
ejpam-5447	232	8	convergence	convergence	NOUN
ejpam-5447	232	9	of	of	ADP
ejpam-5447	232	10	the	the	DET
ejpam-5447	232	11	solutions	solution	NOUN
ejpam-5447	232	12	in	in	ADP
ejpam-5447	232	13	the	the	DET
ejpam-5447	232	14	interval	interval	NOUN
ejpam-5447	232	15	[	[	X
ejpam-5447	232	16	0	0	NUM
ejpam-5447	232	17	,	,	PUNCT
ejpam-5447	232	18	5	5	NUM
ejpam-5447	232	19	]	]	PUNCT
ejpam-5447	232	20	,	,	PUNCT
ejpam-5447	232	21	the	the	DET
ejpam-5447	232	22	ftr	ftr	PROPN
ejpam-5447	232	23	is	be	AUX
ejpam-5447	232	24	applied	apply	VERB
ejpam-5447	232	25	to	to	PART
ejpam-5447	232	26	solve	solve	VERB
ejpam-5447	232	27	the	the	DET
ejpam-5447	232	28	given	give	VERB
ejpam-5447	232	29	problem	problem	NOUN
ejpam-5447	232	30	as	as	ADP
ejpam-5447	232	31	the	the	DET
ejpam-5447	232	32	benchmarking	benchmarking	NOUN
ejpam-5447	232	33	to	to	ADP
ejpam-5447	232	34	the	the	DET
ejpam-5447	232	35	proposed	propose	VERB
ejpam-5447	232	36	fsr	fsr	NOUN
ejpam-5447	232	37	in	in	ADP
ejpam-5447	232	38	terms	term	NOUN
ejpam-5447	232	39	of	of	ADP
ejpam-5447	232	40	efficiency	efficiency	NOUN
ejpam-5447	232	41	and	and	CCONJ
ejpam-5447	232	42	accuracy	accuracy	NOUN
ejpam-5447	233	1	[	[	X
ejpam-5447	233	2	10	10	NUM
ejpam-5447	233	3	]	]	PUNCT
ejpam-5447	233	4	.	.	PUNCT
ejpam-5447	234	1	in	in	ADP
ejpam-5447	234	2	table	table	NOUN
ejpam-5447	234	3	2	2	NUM
ejpam-5447	234	4	,	,	PUNCT
ejpam-5447	234	5	we	we	PRON
ejpam-5447	234	6	computed	compute	VERB
ejpam-5447	234	7	the	the	DET
ejpam-5447	234	8	maximum	maximum	PROPN
ejpam-5447	234	9	aae	aae	PROPN
ejpam-5447	234	10	to	to	PART
ejpam-5447	234	11	show	show	VERB
ejpam-5447	234	12	the	the	DET
ejpam-5447	234	13	performance	performance	NOUN
ejpam-5447	234	14	of	of	ADP
ejpam-5447	234	15	the	the	DET
ejpam-5447	234	16	fsr	fsr	PROPN
ejpam-5447	234	17	method	method	NOUN
ejpam-5447	234	18	against	against	ADP
ejpam-5447	234	19	the	the	DET
ejpam-5447	234	20	benchmark	benchmark	NOUN
ejpam-5447	234	21	method	method	NOUN
ejpam-5447	234	22	in	in	ADP
ejpam-5447	234	23	solving	solve	VERB
ejpam-5447	234	24	the	the	DET
ejpam-5447	234	25	evd	evd	NOUN
ejpam-5447	234	26	model	model	NOUN
ejpam-5447	234	27	at	at	ADP
ejpam-5447	234	28	various	various	ADJ
ejpam-5447	234	29	values	value	NOUN
ejpam-5447	234	30	of	of	ADP
ejpam-5447	234	31	ν	ν	PROPN
ejpam-5447	234	32	and	and	CCONJ
ejpam-5447	234	33	h.	h.	PROPN
ejpam-5447	234	34	table	table	NOUN
ejpam-5447	234	35	2	2	NUM
ejpam-5447	234	36	shows	show	VERB
ejpam-5447	234	37	that	that	SCONJ
ejpam-5447	234	38	the	the	DET
ejpam-5447	234	39	maximum	maximum	PROPN
ejpam-5447	234	40	aae	aae	PROPN
ejpam-5447	234	41	decreases	decrease	VERB
ejpam-5447	234	42	when	when	SCONJ
ejpam-5447	234	43	the	the	DET
ejpam-5447	234	44	step	step	NOUN
ejpam-5447	234	45	-	-	PUNCT
ejpam-5447	234	46	size	size	NOUN
ejpam-5447	234	47	used	use	VERB
ejpam-5447	234	48	in	in	ADP
ejpam-5447	234	49	the	the	DET
ejpam-5447	234	50	computation	computation	NOUN
ejpam-5447	234	51	decreases	decrease	VERB
ejpam-5447	234	52	.	.	PUNCT
ejpam-5447	235	1	therefore	therefore	ADV
ejpam-5447	235	2	,	,	PUNCT
ejpam-5447	235	3	the	the	DET
ejpam-5447	235	4	errors	error	NOUN
ejpam-5447	235	5	illustrated	illustrate	VERB
ejpam-5447	235	6	sufficient	sufficient	ADJ
ejpam-5447	235	7	proof	proof	NOUN
ejpam-5447	235	8	of	of	ADP
ejpam-5447	235	9	numerical	numerical	ADJ
ejpam-5447	235	10	convergence	convergence	NOUN
ejpam-5447	235	11	of	of	ADP
ejpam-5447	235	12	the	the	DET
ejpam-5447	235	13	proposed	propose	VERB
ejpam-5447	235	14	numerical	numerical	ADJ
ejpam-5447	235	15	scheme	scheme	NOUN
ejpam-5447	235	16	.	.	PUNCT
ejpam-5447	236	1	this	this	DET
ejpam-5447	236	2	comparison	comparison	NOUN
ejpam-5447	236	3	confirms	confirm	VERB
ejpam-5447	236	4	the	the	DET
ejpam-5447	236	5	thoroughness	thoroughness	NOUN
ejpam-5447	236	6	of	of	ADP
ejpam-5447	236	7	the	the	DET
ejpam-5447	236	8	proposed	propose	VERB
ejpam-5447	236	9	method	method	NOUN
ejpam-5447	236	10	in	in	ADP
ejpam-5447	236	11	this	this	DET
ejpam-5447	236	12	article	article	NOUN
ejpam-5447	236	13	.	.	PUNCT
ejpam-5447	237	1	m.	m.	PROPN
ejpam-5447	237	2	m.	m.	PROPN
ejpam-5447	237	3	khader	khader	PROPN
ejpam-5447	237	4	,	,	PUNCT
ejpam-5447	237	5	m.	m.	NOUN
ejpam-5447	237	6	m.	m.	NOUN
ejpam-5447	237	7	babatin	babatin	PROPN
ejpam-5447	237	8	/	/	SYM
ejpam-5447	237	9	eur	eur	PROPN
ejpam-5447	237	10	.	.	PUNCT
ejpam-5447	238	1	j.	j.	PROPN
ejpam-5447	238	2	pure	pure	PROPN
ejpam-5447	238	3	appl	appl	PROPN
ejpam-5447	238	4	.	.	PROPN
ejpam-5447	238	5	math	math	PROPN
ejpam-5447	238	6	,	,	PUNCT
ejpam-5447	238	7	17	17	NUM
ejpam-5447	238	8	(	(	PUNCT
ejpam-5447	238	9	4	4	NUM
ejpam-5447	238	10	)	)	PUNCT
ejpam-5447	238	11	(	(	PUNCT
ejpam-5447	238	12	2024	2024	NUM
ejpam-5447	238	13	)	)	PUNCT
ejpam-5447	238	14	,	,	PUNCT
ejpam-5447	238	15	3167	3167	NUM
ejpam-5447	238	16	-	-	SYM
ejpam-5447	238	17	3184	3184	NUM
ejpam-5447	238	18	3181	3181	NUM
ejpam-5447	238	19	figure	figure	NOUN
ejpam-5447	238	20	9	9	NUM
ejpam-5447	238	21	.	.	PUNCT
ejpam-5447	239	1	the	the	DET
ejpam-5447	239	2	influence	influence	NOUN
ejpam-5447	239	3	of	of	ADP
ejpam-5447	239	4	the	the	DET
ejpam-5447	239	5	fractional	fractional	ADJ
ejpam-5447	239	6	-	-	PUNCT
ejpam-5447	239	7	order	order	NOUN
ejpam-5447	239	8	ν	ν	NOUN
ejpam-5447	239	9	≤	≤	NUM
ejpam-5447	239	10	0.5	0.5	NUM
ejpam-5447	239	11	on	on	ADP
ejpam-5447	239	12	the	the	DET
ejpam-5447	239	13	numerical	numerical	ADJ
ejpam-5447	239	14	solution	solution	NOUN
ejpam-5447	239	15	,	,	PUNCT
ejpam-5447	239	16	using	use	VERB
ejpam-5447	239	17	initial	initial	ADJ
ejpam-5447	239	18	conditions	condition	NOUN
ejpam-5447	239	19	given	give	VERB
ejpam-5447	239	20	in	in	ADP
ejpam-5447	239	21	case	case	NOUN
ejpam-5447	239	22	2	2	NUM
ejpam-5447	239	23	.	.	PUNCT
ejpam-5447	239	24	table	table	NOUN
ejpam-5447	239	25	2	2	NUM
ejpam-5447	239	26	.	.	PUNCT
ejpam-5447	239	27	a	a	DET
ejpam-5447	239	28	comparison	comparison	NOUN
ejpam-5447	239	29	of	of	ADP
ejpam-5447	239	30	the	the	DET
ejpam-5447	239	31	maximum	maximum	ADJ
ejpam-5447	239	32	absolute	absolute	ADJ
ejpam-5447	239	33	approximate	approximate	ADJ
ejpam-5447	239	34	errors	error	NOUN
ejpam-5447	239	35	from	from	ADP
ejpam-5447	239	36	solving	solve	VERB
ejpam-5447	239	37	the	the	DET
ejpam-5447	239	38	evd	evd	NOUN
ejpam-5447	239	39	model	model	NOUN
ejpam-5447	239	40	at	at	ADP
ejpam-5447	239	41	different	different	ADJ
ejpam-5447	239	42	values	value	NOUN
ejpam-5447	239	43	of	of	ADP
ejpam-5447	239	44	ν	ν	NOUN
ejpam-5447	239	45	,	,	PUNCT
ejpam-5447	239	46	and	and	CCONJ
ejpam-5447	239	47	h.	h.	PROPN
ejpam-5447	239	48	method	method	PROPN
ejpam-5447	239	49	ν	ν	PROPN
ejpam-5447	239	50	/	/	SYM
ejpam-5447	239	51	h	h	NOUN
ejpam-5447	239	52	1	1	NUM
ejpam-5447	239	53	2	2	NUM
ejpam-5447	239	54	1	1	NUM
ejpam-5447	239	55	4	4	NUM
ejpam-5447	239	56	1	1	NUM
ejpam-5447	239	57	8	8	NUM
ejpam-5447	239	58	1	1	NUM
ejpam-5447	239	59	16	16	NUM
ejpam-5447	239	60	1	1	NUM
ejpam-5447	239	61	32	32	NUM
ejpam-5447	239	62	fsr	fsr	PROPN
ejpam-5447	239	63	ftr	ftr	PROPN
ejpam-5447	239	64	fsr	fsr	PROPN
ejpam-5447	239	65	ftr	ftr	PROPN
ejpam-5447	239	66	fsr	fsr	PROPN
ejpam-5447	239	67	ftr	ftr	PROPN
ejpam-5447	239	68	0.75	0.75	NUM
ejpam-5447	239	69	0.85	0.85	NUM
ejpam-5447	239	70	0.95	0.95	NUM
ejpam-5447	239	71	0.1345e-2	0.1345e-2	NUM
ejpam-5447	239	72	2.1593e-1	2.1593e-1	NUM
ejpam-5447	239	73	2.7562e-2	2.7562e-2	NUM
ejpam-5447	239	74	7.7530e-1	7.7530e-1	NUM
ejpam-5447	239	75	0.2580e-2	0.2580e-2	NUM
ejpam-5447	239	76	9.3520e-1	9.3520e-1	NUM
ejpam-5447	239	77	5.9510e-3	5.9510e-3	NUM
ejpam-5447	239	78	5.6542e-2	5.6542e-2	NUM
ejpam-5447	239	79	9.2458e-3	9.2458e-3	NUM
ejpam-5447	239	80	2.0147e-2	2.0147e-2	NUM
ejpam-5447	239	81	1.9507e-3	1.9507e-3	NUM
ejpam-5447	239	82	6.0147e-2	6.0147e-2	NUM
ejpam-5447	239	83	8.2140e-4	8.2140e-4	NOUN
ejpam-5447	239	84	7.3571e-2	7.3571e-2	NUM
ejpam-5447	239	85	7.9630e-4	7.9630e-4	NOUN
ejpam-5447	239	86	6.6529e-3	6.6529e-3	NUM
ejpam-5447	239	87	6.5219e-4	6.5219e-4	NUM
ejpam-5447	239	88	0.6541e-2	0.6541e-2	NUM
ejpam-5447	240	1	5.6064e-5	5.6064e-5	NUM
ejpam-5447	240	2	6.9510e-3	6.9510e-3	NUM
ejpam-5447	240	3	3.7532e-5	3.7532e-5	NUM
ejpam-5447	240	4	6.1597e-3	6.1597e-3	NUM
ejpam-5447	240	5	9.9425e-5	9.9425e-5	NUM
ejpam-5447	240	6	8.9327e-3	8.9327e-3	NUM
ejpam-5447	240	7	3.5641e-6	3.5641e-6	NUM
ejpam-5447	240	8	0.0145e-4	0.0145e-4	NOUN
ejpam-5447	240	9	0.6528e-6	0.6528e-6	NOUN
ejpam-5447	240	10	8.0581e-4	8.0581e-4	NUM
ejpam-5447	240	11	2.9324e-6	2.9324e-6	NUM
ejpam-5447	240	12	1.7538e-4	1.7538e-4	NUM
ejpam-5447	240	13	8	8	NUM
ejpam-5447	240	14	.	.	PUNCT
ejpam-5447	240	15	conclusions	conclusion	NOUN
ejpam-5447	240	16	and	and	CCONJ
ejpam-5447	240	17	remarks	remark	VERB
ejpam-5447	240	18	this	this	DET
ejpam-5447	240	19	study	study	NOUN
ejpam-5447	240	20	aims	aim	VERB
ejpam-5447	240	21	to	to	PART
ejpam-5447	240	22	utilize	utilize	VERB
ejpam-5447	240	23	an	an	DET
ejpam-5447	240	24	efficient	efficient	ADJ
ejpam-5447	240	25	and	and	CCONJ
ejpam-5447	240	26	accurate	accurate	ADJ
ejpam-5447	240	27	method	method	NOUN
ejpam-5447	240	28	to	to	PART
ejpam-5447	240	29	gain	gain	VERB
ejpam-5447	240	30	numerical	numerical	ADJ
ejpam-5447	240	31	solutions	solution	NOUN
ejpam-5447	240	32	for	for	ADP
ejpam-5447	240	33	cf	cf	NOUN
ejpam-5447	240	34	-	-	PUNCT
ejpam-5447	240	35	fractional	fractional	ADJ
ejpam-5447	240	36	blood	blood	NOUN
ejpam-5447	240	37	ethanol	ethanol	NOUN
ejpam-5447	240	38	concentration	concentration	NOUN
ejpam-5447	240	39	system	system	NOUN
ejpam-5447	240	40	and	and	CCONJ
ejpam-5447	240	41	ebola	ebola	PROPN
ejpam-5447	240	42	virus	virus	NOUN
ejpam-5447	240	43	model	model	PROPN
ejpam-5447	240	44	.	.	PUNCT
ejpam-5447	241	1	simpson	simpson	PROPN
ejpam-5447	241	2	’s	’s	PART
ejpam-5447	241	3	rule	rule	NOUN
ejpam-5447	241	4	1/3	1/3	NUM
ejpam-5447	241	5	was	be	AUX
ejpam-5447	241	6	applied	apply	VERB
ejpam-5447	241	7	in	in	ADP
ejpam-5447	241	8	its	its	PRON
ejpam-5447	241	9	fractional	fractional	ADJ
ejpam-5447	241	10	form	form	NOUN
ejpam-5447	241	11	in	in	ADP
ejpam-5447	241	12	computing	compute	VERB
ejpam-5447	241	13	the	the	DET
ejpam-5447	241	14	resulting	result	VERB
ejpam-5447	241	15	integral	integral	ADJ
ejpam-5447	241	16	within	within	ADP
ejpam-5447	241	17	the	the	DET
ejpam-5447	241	18	system	system	NOUN
ejpam-5447	241	19	of	of	ADP
ejpam-5447	241	20	fies	fie	NOUN
ejpam-5447	241	21	corresponding	correspond	VERB
ejpam-5447	241	22	to	to	ADP
ejpam-5447	241	23	the	the	DET
ejpam-5447	241	24	fdes	fde	NOUN
ejpam-5447	241	25	expressing	express	VERB
ejpam-5447	241	26	mathematically	mathematically	ADV
ejpam-5447	241	27	the	the	DET
ejpam-5447	241	28	models	model	NOUN
ejpam-5447	241	29	under	under	ADP
ejpam-5447	241	30	study	study	NOUN
ejpam-5447	241	31	to	to	PART
ejpam-5447	241	32	achieve	achieve	VERB
ejpam-5447	241	33	fourth	fourth	ADJ
ejpam-5447	241	34	-	-	PUNCT
ejpam-5447	241	35	order	order	NOUN
ejpam-5447	241	36	accuracy	accuracy	NOUN
ejpam-5447	241	37	for	for	ADP
ejpam-5447	241	38	the	the	DET
ejpam-5447	241	39	resulting	result	VERB
ejpam-5447	241	40	solutions	solution	NOUN
ejpam-5447	241	41	.	.	PUNCT
ejpam-5447	242	1	this	this	DET
ejpam-5447	242	2	study	study	NOUN
ejpam-5447	242	3	utilized	utilize	VERB
ejpam-5447	242	4	several	several	ADJ
ejpam-5447	242	5	values	value	NOUN
ejpam-5447	242	6	of	of	ADP
ejpam-5447	242	7	the	the	DET
ejpam-5447	242	8	fractional	fractional	ADJ
ejpam-5447	242	9	order	order	NOUN
ejpam-5447	242	10	and	and	CCONJ
ejpam-5447	242	11	h	h	NOUN
ejpam-5447	242	12	to	to	PART
ejpam-5447	242	13	derive	derive	VERB
ejpam-5447	242	14	solutions	solution	NOUN
ejpam-5447	242	15	for	for	ADP
ejpam-5447	242	16	the	the	DET
ejpam-5447	242	17	models	model	NOUN
ejpam-5447	242	18	being	be	AUX
ejpam-5447	242	19	examined	examine	VERB
ejpam-5447	242	20	.	.	PUNCT
ejpam-5447	243	1	furthermore	furthermore	ADV
ejpam-5447	243	2	,	,	PUNCT
ejpam-5447	243	3	we	we	PRON
ejpam-5447	243	4	have	have	AUX
ejpam-5447	243	5	determined	determine	VERB
ejpam-5447	243	6	that	that	SCONJ
ejpam-5447	243	7	the	the	DET
ejpam-5447	243	8	proposed	propose	VERB
ejpam-5447	243	9	approach	approach	NOUN
ejpam-5447	243	10	is	be	AUX
ejpam-5447	243	11	remarkably	remarkably	ADV
ejpam-5447	243	12	effective	effective	ADJ
ejpam-5447	243	13	in	in	ADP
ejpam-5447	243	14	references	reference	NOUN
ejpam-5447	243	15	3182	3182	NUM
ejpam-5447	243	16	analyzing	analyze	VERB
ejpam-5447	243	17	these	these	DET
ejpam-5447	243	18	systems	system	NOUN
ejpam-5447	243	19	.	.	PUNCT
ejpam-5447	244	1	furthermore	furthermore	ADV
ejpam-5447	244	2	,	,	PUNCT
ejpam-5447	244	3	reducing	reduce	VERB
ejpam-5447	244	4	the	the	DET
ejpam-5447	244	5	value	value	NOUN
ejpam-5447	244	6	of	of	ADP
ejpam-5447	244	7	h	h	NOUN
ejpam-5447	244	8	allows	allow	VERB
ejpam-5447	244	9	us	we	PRON
ejpam-5447	244	10	to	to	PART
ejpam-5447	244	11	control	control	VERB
ejpam-5447	244	12	the	the	DET
ejpam-5447	244	13	accuracy	accuracy	NOUN
ejpam-5447	244	14	of	of	ADP
ejpam-5447	244	15	the	the	DET
ejpam-5447	244	16	numerical	numerical	ADJ
ejpam-5447	244	17	solution	solution	NOUN
ejpam-5447	244	18	.	.	PUNCT
ejpam-5447	245	1	from	from	ADP
ejpam-5447	245	2	the	the	DET
ejpam-5447	245	3	obtained	obtain	VERB
ejpam-5447	245	4	solutions	solution	NOUN
ejpam-5447	245	5	,	,	PUNCT
ejpam-5447	245	6	we	we	PRON
ejpam-5447	245	7	can	can	AUX
ejpam-5447	245	8	confirm	confirm	VERB
ejpam-5447	245	9	that	that	SCONJ
ejpam-5447	245	10	the	the	DET
ejpam-5447	245	11	offered	offer	VERB
ejpam-5447	245	12	approach	approach	NOUN
ejpam-5447	245	13	is	be	AUX
ejpam-5447	245	14	surprisingly	surprisingly	ADV
ejpam-5447	245	15	successful	successful	ADJ
ejpam-5447	245	16	in	in	ADP
ejpam-5447	245	17	simulating	simulate	VERB
ejpam-5447	245	18	the	the	DET
ejpam-5447	245	19	two	two	NUM
ejpam-5447	245	20	models	model	NOUN
ejpam-5447	245	21	,	,	PUNCT
ejpam-5447	245	22	as	as	ADV
ejpam-5447	245	23	well	well	ADV
ejpam-5447	245	24	as	as	ADP
ejpam-5447	245	25	demonstrating	demonstrate	VERB
ejpam-5447	245	26	the	the	DET
ejpam-5447	245	27	accuracy	accuracy	NOUN
ejpam-5447	245	28	and	and	CCONJ
ejpam-5447	245	29	computational	computational	ADJ
ejpam-5447	245	30	effectiveness	effectiveness	NOUN
ejpam-5447	245	31	of	of	ADP
ejpam-5447	245	32	this	this	DET
ejpam-5447	245	33	method	method	NOUN
ejpam-5447	245	34	.	.	PUNCT
ejpam-5447	246	1	finally	finally	ADV
ejpam-5447	246	2	,	,	PUNCT
ejpam-5447	246	3	the	the	DET
ejpam-5447	246	4	present	present	ADJ
ejpam-5447	246	5	study	study	NOUN
ejpam-5447	246	6	may	may	AUX
ejpam-5447	246	7	contribute	contribute	VERB
ejpam-5447	246	8	to	to	ADP
ejpam-5447	246	9	providing	provide	VERB
ejpam-5447	246	10	more	more	ADV
ejpam-5447	246	11	robust	robust	ADJ
ejpam-5447	246	12	physical	physical	ADJ
ejpam-5447	246	13	explanations	explanation	NOUN
ejpam-5447	246	14	for	for	ADP
ejpam-5447	246	15	future	future	ADJ
ejpam-5447	246	16	theoretical	theoretical	ADJ
ejpam-5447	246	17	and	and	CCONJ
ejpam-5447	246	18	computational	computational	ADJ
ejpam-5447	246	19	studies	study	NOUN
ejpam-5447	246	20	on	on	ADP
ejpam-5447	246	21	the	the	DET
ejpam-5447	246	22	same	same	ADJ
ejpam-5447	246	23	topic	topic	NOUN
ejpam-5447	246	24	.	.	PUNCT
ejpam-5447	247	1	in	in	ADP
ejpam-5447	247	2	future	future	ADJ
ejpam-5447	247	3	work	work	NOUN
ejpam-5447	247	4	,	,	PUNCT
ejpam-5447	247	5	we	we	PRON
ejpam-5447	247	6	try	try	VERB
ejpam-5447	247	7	to	to	PART
ejpam-5447	247	8	use	use	VERB
ejpam-5447	247	9	other	other	ADJ
ejpam-5447	247	10	fractional	fractional	ADJ
ejpam-5447	247	11	operators	operator	NOUN
ejpam-5447	247	12	and	and	CCONJ
ejpam-5447	247	13	derive	derive	VERB
ejpam-5447	247	14	a	a	DET
ejpam-5447	247	15	suitable	suitable	ADJ
ejpam-5447	247	16	numerical	numerical	ADJ
ejpam-5447	247	17	scheme	scheme	NOUN
ejpam-5447	247	18	to	to	PART
ejpam-5447	247	19	solve	solve	VERB
ejpam-5447	247	20	a	a	DET
ejpam-5447	247	21	wide	wide	ADJ
ejpam-5447	247	22	class	class	NOUN
ejpam-5447	247	23	of	of	ADP
ejpam-5447	247	24	fractional	fractional	ADJ
ejpam-5447	247	25	differential	differential	ADJ
ejpam-5447	247	26	equations	equation	NOUN
ejpam-5447	247	27	such	such	ADJ
ejpam-5447	247	28	as	as	ADP
ejpam-5447	247	29	complex	complex	ADJ
ejpam-5447	247	30	,	,	PUNCT
ejpam-5447	247	31	chaotic	chaotic	ADJ
ejpam-5447	247	32	systems	system	NOUN
ejpam-5447	247	33	,	,	PUNCT
ejpam-5447	247	34	or	or	CCONJ
ejpam-5447	247	35	higher	higher	ADV
ejpam-5447	247	36	-	-	PUNCT
ejpam-5447	247	37	dimensional	dimensional	ADJ
ejpam-5447	247	38	systems	system	NOUN
ejpam-5447	247	39	.	.	PUNCT
ejpam-5447	248	1	references	reference	NOUN
ejpam-5447	248	2	[	[	X
ejpam-5447	248	3	1	1	X
ejpam-5447	248	4	]	]	PUNCT
ejpam-5447	248	5	t.	t.	NOUN
ejpam-5447	248	6	abdeljawad	abdeljawad	PROPN
ejpam-5447	248	7	and	and	CCONJ
ejpam-5447	248	8	d.	d.	PROPN
ejpam-5447	248	9	baleanu	baleanu	PROPN
ejpam-5447	248	10	.	.	PUNCT
ejpam-5447	249	1	on	on	ADP
ejpam-5447	249	2	fractional	fractional	ADJ
ejpam-5447	249	3	derivatives	derivative	NOUN
ejpam-5447	249	4	with	with	ADP
ejpam-5447	249	5	exponential	exponential	ADJ
ejpam-5447	249	6	kernel	kernel	NOUN
ejpam-5447	249	7	and	and	CCONJ
ejpam-5447	249	8	their	their	PRON
ejpam-5447	249	9	discrete	discrete	ADJ
ejpam-5447	249	10	versions	version	NOUN
ejpam-5447	249	11	.	.	PUNCT
ejpam-5447	250	1	rep	rep	PROPN
ejpam-5447	250	2	.	.	PROPN
ejpam-5447	250	3	math	math	PROPN
ejpam-5447	250	4	.	.	PUNCT
ejpam-5447	251	1	phys	phy	NOUN
ejpam-5447	251	2	.	.	PUNCT
ejpam-5447	251	3	,	,	PUNCT
ejpam-5447	251	4	80:11–27	80:11–27	NUM
ejpam-5447	251	5	,	,	PUNCT
ejpam-5447	251	6	2017	2017	NUM
ejpam-5447	251	7	.	.	PUNCT
ejpam-5447	252	1	[	[	X
ejpam-5447	252	2	2	2	X
ejpam-5447	252	3	]	]	PUNCT
ejpam-5447	252	4	j.	j.	PROPN
ejpam-5447	252	5	f.	f.	PROPN
ejpam-5447	252	6	g.	g.	PROPN
ejpam-5447	252	7	aguilar	aguilar	PROPN
ejpam-5447	252	8	,	,	PUNCT
ejpam-5447	252	9	h.	h.	PROPN
ejpam-5447	252	10	y.	y.	PROPN
ejpam-5447	252	11	martinez	martinez	PROPN
ejpam-5447	252	12	,	,	PUNCT
ejpam-5447	252	13	c.	c.	PROPN
ejpam-5447	252	14	c.	c.	PROPN
ejpam-5447	252	15	ramon	ramon	PROPN
ejpam-5447	252	16	,	,	PUNCT
ejpam-5447	252	17	i.	i.	PROPN
ejpam-5447	252	18	c.	c.	PROPN
ejpam-5447	252	19	ordunia	ordunia	PROPN
ejpam-5447	252	20	,	,	PUNCT
ejpam-5447	252	21	r.	r.	PROPN
ejpam-5447	252	22	f.	f.	PROPN
ejpam-5447	252	23	e.	e.	PROPN
ejpam-5447	252	24	jimenez	jimenez	PROPN
ejpam-5447	252	25	,	,	PUNCT
ejpam-5447	252	26	and	and	CCONJ
ejpam-5447	252	27	v.	v.	ADP
ejpam-5447	252	28	h.	h.	PROPN
ejpam-5447	252	29	o.	o.	PROPN
ejpam-5447	252	30	peregrino	peregrino	PROPN
ejpam-5447	252	31	.	.	PUNCT
ejpam-5447	253	1	modeling	modeling	NOUN
ejpam-5447	253	2	of	of	ADP
ejpam-5447	253	3	a	a	DET
ejpam-5447	253	4	mass	mass	ADJ
ejpam-5447	253	5	-	-	PUNCT
ejpam-5447	253	6	spring	spring	NOUN
ejpam-5447	253	7	-	-	PUNCT
ejpam-5447	253	8	damper	damper	NOUN
ejpam-5447	253	9	system	system	NOUN
ejpam-5447	253	10	by	by	ADP
ejpam-5447	253	11	fractional	fractional	ADJ
ejpam-5447	253	12	derivatives	derivative	NOUN
ejpam-5447	253	13	with	with	ADP
ejpam-5447	253	14	and	and	CCONJ
ejpam-5447	253	15	without	without	ADP
ejpam-5447	253	16	a	a	DET
ejpam-5447	253	17	singular	singular	ADJ
ejpam-5447	253	18	kernel	kernel	NOUN
ejpam-5447	253	19	.	.	PUNCT
ejpam-5447	254	1	entropy	entropy	PROPN
ejpam-5447	254	2	,	,	PUNCT
ejpam-5447	254	3	17:6289–6303	17:6289–6303	NUM
ejpam-5447	254	4	,	,	PUNCT
ejpam-5447	254	5	2015	2015	NUM
ejpam-5447	254	6	.	.	PUNCT
ejpam-5447	255	1	[	[	X
ejpam-5447	255	2	3	3	NUM
ejpam-5447	255	3	]	]	X
ejpam-5447	255	4	n.	n.	NOUN
ejpam-5447	255	5	almutairi	almutairi	PROPN
ejpam-5447	255	6	and	and	CCONJ
ejpam-5447	255	7	s.	s.	PROPN
ejpam-5447	255	8	saber	saber	PROPN
ejpam-5447	255	9	.	.	PUNCT
ejpam-5447	256	1	application	application	NOUN
ejpam-5447	256	2	of	of	ADP
ejpam-5447	256	3	a	a	DET
ejpam-5447	256	4	time	time	NOUN
ejpam-5447	256	5	-	-	PUNCT
ejpam-5447	256	6	fractal	fractal	ADJ
ejpam-5447	256	7	fractional	fractional	ADJ
ejpam-5447	256	8	derivative	derivative	NOUN
ejpam-5447	256	9	with	with	ADP
ejpam-5447	256	10	a	a	DET
ejpam-5447	256	11	power	power	NOUN
ejpam-5447	256	12	-	-	PUNCT
ejpam-5447	256	13	law	law	NOUN
ejpam-5447	256	14	kernel	kernel	NOUN
ejpam-5447	256	15	to	to	ADP
ejpam-5447	256	16	the	the	DET
ejpam-5447	256	17	burke	burke	PROPN
ejpam-5447	256	18	-	-	PUNCT
ejpam-5447	256	19	shaw	shaw	PROPN
ejpam-5447	256	20	system	system	NOUN
ejpam-5447	256	21	based	base	VERB
ejpam-5447	256	22	on	on	ADP
ejpam-5447	256	23	newton	newton	PROPN
ejpam-5447	256	24	’s	’s	PART
ejpam-5447	256	25	interpolation	interpolation	NOUN
ejpam-5447	256	26	polynomials	polynomial	NOUN
ejpam-5447	256	27	.	.	PUNCT
ejpam-5447	257	1	methodsx	methodsx	PROPN
ejpam-5447	257	2	,	,	PUNCT
ejpam-5447	257	3	12:1–13	12:1–13	NUM
ejpam-5447	257	4	,	,	PUNCT
ejpam-5447	257	5	2024	2024	NUM
ejpam-5447	257	6	.	.	PUNCT
ejpam-5447	258	1	[	[	X
ejpam-5447	258	2	4	4	X
ejpam-5447	258	3	]	]	PUNCT
ejpam-5447	258	4	s.	s.	PROPN
ejpam-5447	258	5	b.	b.	PROPN
ejpam-5447	258	6	amundsen	amundsen	PROPN
ejpam-5447	258	7	.	.	PUNCT
ejpam-5447	259	1	historical	historical	ADJ
ejpam-5447	259	2	analysis	analysis	NOUN
ejpam-5447	259	3	of	of	ADP
ejpam-5447	259	4	the	the	DET
ejpam-5447	259	5	ebola	ebola	PROPN
ejpam-5447	259	6	virus	virus	NOUN
ejpam-5447	259	7	:	:	PUNCT
ejpam-5447	259	8	prospective	prospective	ADJ
ejpam-5447	259	9	implications	implication	NOUN
ejpam-5447	259	10	for	for	ADP
ejpam-5447	259	11	primary	primary	ADJ
ejpam-5447	259	12	care	care	NOUN
ejpam-5447	259	13	nursing	nursing	NOUN
ejpam-5447	259	14	today	today	NOUN
ejpam-5447	259	15	.	.	PUNCT
ejpam-5447	260	1	clin	clin	PROPN
ejpam-5447	260	2	.	.	PUNCT
ejpam-5447	261	1	excell	excell	VERB
ejpam-5447	261	2	.	.	PUNCT
ejpam-5447	262	1	nurse	nurse	PROPN
ejpam-5447	262	2	pract	pract	PROPN
ejpam-5447	262	3	.	.	PUNCT
ejpam-5447	262	4	,	,	PUNCT
ejpam-5447	262	5	2:343–351	2:343–351	NOUN
ejpam-5447	262	6	,	,	PUNCT
ejpam-5447	262	7	1998	1998	NUM
ejpam-5447	262	8	.	.	PUNCT
ejpam-5447	263	1	[	[	X
ejpam-5447	263	2	5	5	NUM
ejpam-5447	263	3	]	]	PUNCT
ejpam-5447	263	4	i.	i.	NOUN
ejpam-5447	263	5	area	area	PROPN
ejpam-5447	263	6	,	,	PUNCT
ejpam-5447	263	7	h.	h.	PROPN
ejpam-5447	263	8	batarfi	batarfi	PROPN
ejpam-5447	263	9	,	,	PUNCT
ejpam-5447	263	10	j.	j.	PROPN
ejpam-5447	263	11	losada	losada	PROPN
ejpam-5447	263	12	,	,	PUNCT
ejpam-5447	263	13	j.	j.	PROPN
ejpam-5447	263	14	j.	j.	PROPN
ejpam-5447	263	15	nieto	nieto	PROPN
ejpam-5447	263	16	,	,	PUNCT
ejpam-5447	263	17	w.	w.	PROPN
ejpam-5447	263	18	shammakh	shammakh	PROPN
ejpam-5447	263	19	,	,	PUNCT
ejpam-5447	263	20	and	and	CCONJ
ejpam-5447	263	21	a.	a.	NOUN
ejpam-5447	263	22	torres	torre	NOUN
ejpam-5447	263	23	.	.	PUNCT
ejpam-5447	264	1	on	on	ADP
ejpam-5447	264	2	a	a	DET
ejpam-5447	264	3	fractional	fractional	ADJ
ejpam-5447	264	4	order	order	NOUN
ejpam-5447	264	5	ebola	ebola	PROPN
ejpam-5447	264	6	epidemic	epidemic	NOUN
ejpam-5447	264	7	model	model	NOUN
ejpam-5447	264	8	.	.	PUNCT
ejpam-5447	265	1	adv	adv	PROPN
ejpam-5447	265	2	.	.	PROPN
ejpam-5447	265	3	differ	differ	VERB
ejpam-5447	265	4	.	.	PUNCT
ejpam-5447	266	1	equ	equ	PROPN
ejpam-5447	266	2	.	.	PROPN
ejpam-5447	266	3	,	,	PUNCT
ejpam-5447	266	4	2015:1–8	2015:1–8	PROPN
ejpam-5447	266	5	,	,	PUNCT
ejpam-5447	266	6	2015	2015	NUM
ejpam-5447	266	7	.	.	PUNCT
ejpam-5447	267	1	[	[	X
ejpam-5447	267	2	6	6	NUM
ejpam-5447	267	3	]	]	PUNCT
ejpam-5447	267	4	s.	s.	PROPN
ejpam-5447	267	5	arshad	arshad	PROPN
ejpam-5447	267	6	,	,	PUNCT
ejpam-5447	267	7	i.	i.	PROPN
ejpam-5447	267	8	saleem	saleem	PROPN
ejpam-5447	267	9	,	,	PUNCT
ejpam-5447	267	10	a.	a.	PROPN
ejpam-5447	267	11	akgül	akgül	PROPN
ejpam-5447	267	12	,	,	PUNCT
ejpam-5447	267	13	j.	j.	PROPN
ejpam-5447	267	14	huang	huang	PROPN
ejpam-5447	267	15	,	,	PUNCT
ejpam-5447	267	16	y.	y.	PROPN
ejpam-5447	267	17	tang	tang	PROPN
ejpam-5447	267	18	,	,	PUNCT
ejpam-5447	267	19	and	and	CCONJ
ejpam-5447	267	20	s.	s.	PROPN
ejpam-5447	267	21	m.	m.	PROPN
ejpam-5447	267	22	eldin	eldin	PROPN
ejpam-5447	267	23	.	.	PUNCT
ejpam-5447	268	1	a	a	DET
ejpam-5447	268	2	novel	novel	ADJ
ejpam-5447	268	3	numerical	numerical	ADJ
ejpam-5447	268	4	method	method	NOUN
ejpam-5447	268	5	for	for	ADP
ejpam-5447	268	6	solving	solve	VERB
ejpam-5447	268	7	the	the	DET
ejpam-5447	268	8	caputo	caputo	PROPN
ejpam-5447	268	9	-	-	PUNCT
ejpam-5447	268	10	fabrizio	fabrizio	PROPN
ejpam-5447	268	11	fractional	fractional	ADJ
ejpam-5447	268	12	differential	differential	NOUN
ejpam-5447	268	13	equation	equation	NOUN
ejpam-5447	268	14	.	.	PUNCT
ejpam-5447	269	1	aims	aim	VERB
ejpam-5447	269	2	mathematics	mathematic	NOUN
ejpam-5447	269	3	,	,	PUNCT
ejpam-5447	269	4	8:9535–9556	8:9535–9556	NUM
ejpam-5447	269	5	,	,	PUNCT
ejpam-5447	269	6	2022	2022	NUM
ejpam-5447	269	7	.	.	PUNCT
ejpam-5447	270	1	[	[	X
ejpam-5447	270	2	7	7	X
ejpam-5447	270	3	]	]	X
ejpam-5447	270	4	l.	l.	PROPN
ejpam-5447	270	5	baseler	baseler	PROPN
ejpam-5447	270	6	,	,	PUNCT
ejpam-5447	270	7	d.	d.	PROPN
ejpam-5447	270	8	s.	s.	PROPN
ejpam-5447	270	9	chertow	chertow	PROPN
ejpam-5447	270	10	,	,	PUNCT
ejpam-5447	270	11	k.	k.	PROPN
ejpam-5447	270	12	m.	m.	PROPN
ejpam-5447	270	13	johnson	johnson	PROPN
ejpam-5447	270	14	,	,	PUNCT
ejpam-5447	270	15	h.	h.	PROPN
ejpam-5447	270	16	feldmann	feldmann	PROPN
ejpam-5447	270	17	,	,	PUNCT
ejpam-5447	270	18	and	and	CCONJ
ejpam-5447	270	19	d.	d.	PROPN
ejpam-5447	270	20	m.	m.	PROPN
ejpam-5447	270	21	morens	morens	PROPN
ejpam-5447	270	22	.	.	PUNCT
ejpam-5447	271	1	the	the	DET
ejpam-5447	271	2	pathogenesis	pathogenesis	NOUN
ejpam-5447	271	3	of	of	ADP
ejpam-5447	271	4	ebola	ebola	PROPN
ejpam-5447	271	5	virus	virus	NOUN
ejpam-5447	271	6	disease	disease	PROPN
ejpam-5447	271	7	.	.	PUNCT
ejpam-5447	272	1	ann	ann	AUX
ejpam-5447	272	2	.	.	PUNCT
ejpam-5447	272	3	rev	rev	PROPN
ejpam-5447	272	4	.	.	PROPN
ejpam-5447	272	5	pathol	pathol	PROPN
ejpam-5447	272	6	.	.	PROPN
ejpam-5447	272	7	,	,	PUNCT
ejpam-5447	272	8	12:387–418	12:387–418	NUM
ejpam-5447	272	9	,	,	PUNCT
ejpam-5447	272	10	2017	2017	NUM
ejpam-5447	272	11	.	.	PUNCT
ejpam-5447	273	1	[	[	X
ejpam-5447	273	2	8	8	NUM
ejpam-5447	273	3	]	]	PUNCT
ejpam-5447	273	4	m.	m.	NOUN
ejpam-5447	273	5	caputo	caputo	PROPN
ejpam-5447	273	6	and	and	CCONJ
ejpam-5447	273	7	m.	m.	PROPN
ejpam-5447	273	8	fabrizio	fabrizio	PROPN
ejpam-5447	273	9	.	.	PUNCT
ejpam-5447	274	1	a	a	DET
ejpam-5447	274	2	new	new	ADJ
ejpam-5447	274	3	definition	definition	NOUN
ejpam-5447	274	4	of	of	ADP
ejpam-5447	274	5	fractional	fractional	ADJ
ejpam-5447	274	6	derivative	derivative	NOUN
ejpam-5447	274	7	without	without	ADP
ejpam-5447	274	8	singular	singular	ADJ
ejpam-5447	274	9	kernel	kernel	PROPN
ejpam-5447	274	10	.	.	PUNCT
ejpam-5447	275	1	progr	progr	NOUN
ejpam-5447	275	2	.	.	PUNCT
ejpam-5447	276	1	fract	fract	PROPN
ejpam-5447	276	2	.	.	PUNCT
ejpam-5447	277	1	differ	differ	VERB
ejpam-5447	277	2	.	.	PUNCT
ejpam-5447	278	1	appl	appl	PROPN
ejpam-5447	278	2	.	.	PROPN
ejpam-5447	278	3	,	,	PUNCT
ejpam-5447	278	4	1:73–85	1:73–85	NUM
ejpam-5447	278	5	,	,	PUNCT
ejpam-5447	278	6	2015	2015	NUM
ejpam-5447	278	7	.	.	PUNCT
ejpam-5447	279	1	[	[	X
ejpam-5447	279	2	9	9	NUM
ejpam-5447	279	3	]	]	PUNCT
ejpam-5447	279	4	m.	m.	NOUN
ejpam-5447	279	5	a.	a.	NOUN
ejpam-5447	279	6	dokuyucu	dokuyucu	PROPN
ejpam-5447	279	7	and	and	CCONJ
ejpam-5447	279	8	h.	h.	PROPN
ejpam-5447	279	9	dutta	dutta	PROPN
ejpam-5447	279	10	.	.	PUNCT
ejpam-5447	280	1	a	a	DET
ejpam-5447	280	2	fractional	fractional	ADJ
ejpam-5447	280	3	order	order	NOUN
ejpam-5447	280	4	model	model	NOUN
ejpam-5447	280	5	for	for	ADP
ejpam-5447	280	6	the	the	DET
ejpam-5447	280	7	ebola	ebola	PROPN
ejpam-5447	280	8	virus	virus	NOUN
ejpam-5447	280	9	with	with	ADP
ejpam-5447	280	10	the	the	DET
ejpam-5447	280	11	new	new	PROPN
ejpam-5447	280	12	caputo	caputo	PROPN
ejpam-5447	280	13	fractional	fractional	PROPN
ejpam-5447	280	14	derivative	derivative	NOUN
ejpam-5447	280	15	without	without	ADP
ejpam-5447	280	16	a	a	DET
ejpam-5447	280	17	singular	singular	ADJ
ejpam-5447	280	18	kernel	kernel	NOUN
ejpam-5447	280	19	.	.	PUNCT
ejpam-5447	281	1	chaos	chaos	NOUN
ejpam-5447	281	2	solitons	soliton	NOUN
ejpam-5447	281	3	fract	fract	NOUN
ejpam-5447	281	4	.	.	PUNCT
ejpam-5447	281	5	,	,	PUNCT
ejpam-5447	281	6	134:1–10	134:1–10	NUM
ejpam-5447	281	7	,	,	PUNCT
ejpam-5447	281	8	2020	2020	NUM
ejpam-5447	281	9	.	.	PUNCT
ejpam-5447	282	1	[	[	X
ejpam-5447	282	2	10	10	NUM
ejpam-5447	282	3	]	]	X
ejpam-5447	282	4	a.	a.	NOUN
ejpam-5447	282	5	jajarmi	jajarmi	PROPN
ejpam-5447	282	6	,	,	PUNCT
ejpam-5447	282	7	s.	s.	PROPN
ejpam-5447	282	8	arshad	arshad	PROPN
ejpam-5447	282	9	,	,	PUNCT
ejpam-5447	282	10	and	and	CCONJ
ejpam-5447	282	11	d.	d.	PROPN
ejpam-5447	282	12	baleanu	baleanu	PROPN
ejpam-5447	282	13	.	.	PUNCT
ejpam-5447	283	1	a	a	DET
ejpam-5447	283	2	new	new	ADJ
ejpam-5447	283	3	fractional	fractional	ADJ
ejpam-5447	283	4	modeling	modeling	NOUN
ejpam-5447	283	5	and	and	CCONJ
ejpam-5447	283	6	control	control	NOUN
ejpam-5447	283	7	strategy	strategy	NOUN
ejpam-5447	283	8	for	for	ADP
ejpam-5447	283	9	the	the	DET
ejpam-5447	283	10	outbreak	outbreak	NOUN
ejpam-5447	283	11	of	of	ADP
ejpam-5447	283	12	dengue	dengue	NOUN
ejpam-5447	283	13	fever	fever	NOUN
ejpam-5447	283	14	.	.	PUNCT
ejpam-5447	284	1	physica	physica	PROPN
ejpam-5447	284	2	a	a	PRON
ejpam-5447	284	3	,	,	PUNCT
ejpam-5447	284	4	535:1–10	535:1–10	NUM
ejpam-5447	284	5	,	,	PUNCT
ejpam-5447	284	6	2019	2019	NUM
ejpam-5447	284	7	.	.	PUNCT
ejpam-5447	285	1	references	reference	NOUN
ejpam-5447	285	2	3183	3183	NUM
ejpam-5447	286	1	[	[	X
ejpam-5447	286	2	11	11	NUM
ejpam-5447	286	3	]	]	PUNCT
ejpam-5447	286	4	m.	m.	NOUN
ejpam-5447	286	5	m.	m.	NOUN
ejpam-5447	286	6	khader	khader	PROPN
ejpam-5447	286	7	and	and	CCONJ
ejpam-5447	286	8	m.	m.	PROPN
ejpam-5447	286	9	adel	adel	PROPN
ejpam-5447	286	10	.	.	PUNCT
ejpam-5447	287	1	modeling	modeling	NOUN
ejpam-5447	287	2	and	and	CCONJ
ejpam-5447	287	3	numerical	numerical	PROPN
ejpam-5447	287	4	simulation	simulation	NOUN
ejpam-5447	287	5	for	for	ADP
ejpam-5447	287	6	covering	cover	VERB
ejpam-5447	287	7	the	the	DET
ejpam-5447	287	8	fractional	fractional	ADJ
ejpam-5447	287	9	covid-19	covid-19	PROPN
ejpam-5447	287	10	model	model	NOUN
ejpam-5447	287	11	using	use	VERB
ejpam-5447	287	12	spectral	spectral	ADJ
ejpam-5447	287	13	collocation	collocation	NOUN
ejpam-5447	287	14	-	-	PUNCT
ejpam-5447	287	15	optimization	optimization	NOUN
ejpam-5447	287	16	algorithms	algorithm	NOUN
ejpam-5447	287	17	.	.	PUNCT
ejpam-5447	288	1	fractal	fractal	ADJ
ejpam-5447	288	2	and	and	CCONJ
ejpam-5447	288	3	fractional	fractional	ADJ
ejpam-5447	288	4	,	,	PUNCT
ejpam-5447	288	5	6:1–19	6:1–19	NUM
ejpam-5447	288	6	,	,	PUNCT
ejpam-5447	288	7	2022	2022	NUM
ejpam-5447	288	8	.	.	PUNCT
ejpam-5447	289	1	[	[	X
ejpam-5447	289	2	12	12	NUM
ejpam-5447	289	3	]	]	PUNCT
ejpam-5447	289	4	m.	m.	NOUN
ejpam-5447	289	5	m.	m.	NOUN
ejpam-5447	289	6	khader	khader	PROPN
ejpam-5447	289	7	and	and	CCONJ
ejpam-5447	289	8	k.	k.	PROPN
ejpam-5447	289	9	m.	m.	PROPN
ejpam-5447	289	10	saad	saad	PROPN
ejpam-5447	289	11	.	.	PUNCT
ejpam-5447	290	1	numerical	numerical	ADJ
ejpam-5447	290	2	treatment	treatment	NOUN
ejpam-5447	290	3	for	for	ADP
ejpam-5447	290	4	studying	study	VERB
ejpam-5447	290	5	the	the	DET
ejpam-5447	290	6	blood	blood	NOUN
ejpam-5447	290	7	ethanol	ethanol	NOUN
ejpam-5447	290	8	concentration	concentration	NOUN
ejpam-5447	290	9	systems	system	NOUN
ejpam-5447	290	10	with	with	ADP
ejpam-5447	290	11	different	different	ADJ
ejpam-5447	290	12	forms	form	NOUN
ejpam-5447	290	13	of	of	ADP
ejpam-5447	290	14	fractional	fractional	ADJ
ejpam-5447	290	15	derivatives	derivative	NOUN
ejpam-5447	290	16	.	.	PUNCT
ejpam-5447	291	1	inter	inter	PROPN
ejpam-5447	291	2	.	.	PUNCT
ejpam-5447	292	1	j.	j.	PROPN
ejpam-5447	292	2	modern	modern	PROPN
ejpam-5447	292	3	physics	physics	PROPN
ejpam-5447	292	4	c	c	PROPN
ejpam-5447	292	5	,	,	PUNCT
ejpam-5447	292	6	31:1–10	31:1–10	NUM
ejpam-5447	292	7	,	,	PUNCT
ejpam-5447	292	8	2020	2020	NUM
ejpam-5447	292	9	.	.	PUNCT
ejpam-5447	293	1	[	[	X
ejpam-5447	293	2	13	13	NUM
ejpam-5447	293	3	]	]	PUNCT
ejpam-5447	293	4	m.	m.	NOUN
ejpam-5447	293	5	m.	m.	NOUN
ejpam-5447	293	6	khader	khader	PROPN
ejpam-5447	293	7	,	,	PUNCT
ejpam-5447	293	8	n.	n.	PROPN
ejpam-5447	293	9	h.	h.	PROPN
ejpam-5447	293	10	sweilam	sweilam	PROPN
ejpam-5447	293	11	,	,	PUNCT
ejpam-5447	293	12	a.	a.	PROPN
ejpam-5447	293	13	m.	m.	PROPN
ejpam-5447	293	14	s.	s.	PROPN
ejpam-5447	293	15	mahdy	mahdy	PROPN
ejpam-5447	293	16	,	,	PUNCT
ejpam-5447	293	17	and	and	CCONJ
ejpam-5447	293	18	n.	n.	PROPN
ejpam-5447	293	19	k.	k.	PROPN
ejpam-5447	293	20	a.	a.	PROPN
ejpam-5447	293	21	moniem	moniem	PROPN
ejpam-5447	293	22	.	.	PUNCT
ejpam-5447	294	1	numerical	numerical	PROPN
ejpam-5447	294	2	simulation	simulation	PROPN
ejpam-5447	294	3	for	for	ADP
ejpam-5447	294	4	the	the	DET
ejpam-5447	294	5	fractional	fractional	PROPN
ejpam-5447	294	6	sirc	sirc	PROPN
ejpam-5447	294	7	model	model	NOUN
ejpam-5447	294	8	and	and	CCONJ
ejpam-5447	294	9	influenza	influenza	NOUN
ejpam-5447	294	10	a.	a.	NOUN
ejpam-5447	294	11	applied	apply	VERB
ejpam-5447	294	12	mathematics	mathematic	NOUN
ejpam-5447	294	13	and	and	CCONJ
ejpam-5447	294	14	information	information	NOUN
ejpam-5447	294	15	sciences	science	NOUN
ejpam-5447	294	16	,	,	PUNCT
ejpam-5447	294	17	8:1029–1036	8:1029–1036	NOUN
ejpam-5447	294	18	,	,	PUNCT
ejpam-5447	294	19	2014	2014	NUM
ejpam-5447	294	20	.	.	PUNCT
ejpam-5447	295	1	[	[	X
ejpam-5447	295	2	14	14	NUM
ejpam-5447	295	3	]	]	X
ejpam-5447	295	4	j.	j.	PROPN
ejpam-5447	295	5	losada	losada	PROPN
ejpam-5447	295	6	and	and	CCONJ
ejpam-5447	295	7	j.	j.	PROPN
ejpam-5447	295	8	j.	j.	PROPN
ejpam-5447	295	9	nieto	nieto	PROPN
ejpam-5447	295	10	.	.	PUNCT
ejpam-5447	296	1	properties	property	NOUN
ejpam-5447	296	2	of	of	ADP
ejpam-5447	296	3	a	a	DET
ejpam-5447	296	4	new	new	ADJ
ejpam-5447	296	5	fractional	fractional	ADJ
ejpam-5447	296	6	derivative	derivative	NOUN
ejpam-5447	296	7	without	without	ADP
ejpam-5447	296	8	singular	singular	ADJ
ejpam-5447	296	9	kernel	kernel	PROPN
ejpam-5447	296	10	.	.	PUNCT
ejpam-5447	297	1	progr	progr	NOUN
ejpam-5447	297	2	.	.	PUNCT
ejpam-5447	298	1	fract	fract	PROPN
ejpam-5447	298	2	.	.	PUNCT
ejpam-5447	299	1	differ	differ	VERB
ejpam-5447	299	2	.	.	PUNCT
ejpam-5447	300	1	appl	appl	PROPN
ejpam-5447	300	2	.	.	PROPN
ejpam-5447	300	3	,	,	PUNCT
ejpam-5447	300	4	1:87–92	1:87–92	NUM
ejpam-5447	300	5	,	,	PUNCT
ejpam-5447	300	6	2015	2015	NUM
ejpam-5447	300	7	.	.	PUNCT
ejpam-5447	301	1	[	[	X
ejpam-5447	301	2	15	15	NUM
ejpam-5447	301	3	]	]	X
ejpam-5447	301	4	c.	c.	PROPN
ejpam-5447	301	5	ludwin	ludwin	PROPN
ejpam-5447	301	6	.	.	PUNCT
ejpam-5447	302	1	blood	blood	NOUN
ejpam-5447	302	2	alcohol	alcohol	NOUN
ejpam-5447	302	3	content	content	NOUN
ejpam-5447	302	4	.	.	PUNCT
ejpam-5447	303	1	undergrad	undergrad	NOUN
ejpam-5447	303	2	.	.	PUNCT
ejpam-5447	304	1	j.	j.	PROPN
ejpam-5447	304	2	math	math	PROPN
ejpam-5447	304	3	.	.	PUNCT
ejpam-5447	305	1	model	model	PROPN
ejpam-5447	305	2	.	.	PROPN
ejpam-5447	305	3	,	,	PUNCT
ejpam-5447	305	4	3:1–10	3:1–10	NUM
ejpam-5447	305	5	,	,	PUNCT
ejpam-5447	305	6	2011	2011	NUM
ejpam-5447	305	7	.	.	PUNCT
ejpam-5447	306	1	[	[	X
ejpam-5447	306	2	16	16	NUM
ejpam-5447	306	3	]	]	PUNCT
ejpam-5447	306	4	g.	g.	PROPN
ejpam-5447	306	5	k.	k.	PROPN
ejpam-5447	306	6	mazandu	mazandu	PROPN
ejpam-5447	306	7	,	,	PUNCT
ejpam-5447	306	8	v.	v.	ADP
ejpam-5447	306	9	nembaware	nembaware	PROPN
ejpam-5447	306	10	,	,	PUNCT
ejpam-5447	306	11	n.	n.	PROPN
ejpam-5447	306	12	e.	e.	PROPN
ejpam-5447	306	13	thomford	thomford	PROPN
ejpam-5447	306	14	,	,	PUNCT
ejpam-5447	306	15	c.	c.	PROPN
ejpam-5447	306	16	bope	bope	NOUN
ejpam-5447	306	17	,	,	PUNCT
ejpam-5447	306	18	o.	o.	NOUN
ejpam-5447	306	19	ly	ly	PROPN
ejpam-5447	306	20	,	,	PUNCT
ejpam-5447	306	21	e.	e.	PROPN
ejpam-5447	306	22	r.	r.	PROPN
ejpam-5447	306	23	chimusa	chimusa	PROPN
ejpam-5447	306	24	,	,	PUNCT
ejpam-5447	306	25	and	and	CCONJ
ejpam-5447	306	26	a.	a.	NOUN
ejpam-5447	306	27	wonkam	wonkam	NOUN
ejpam-5447	306	28	.	.	PUNCT
ejpam-5447	307	1	a	a	DET
ejpam-5447	307	2	potential	potential	ADJ
ejpam-5447	307	3	roadmap	roadmap	NOUN
ejpam-5447	307	4	to	to	PART
ejpam-5447	307	5	overcome	overcome	VERB
ejpam-5447	307	6	the	the	DET
ejpam-5447	307	7	current	current	ADJ
ejpam-5447	307	8	eastern	eastern	ADJ
ejpam-5447	307	9	drc	drc	PROPN
ejpam-5447	307	10	ebola	ebola	PROPN
ejpam-5447	307	11	virus	virus	PROPN
ejpam-5447	307	12	disease	disease	PROPN
ejpam-5447	307	13	outbreak	outbreak	NOUN
ejpam-5447	307	14	:	:	PUNCT
ejpam-5447	307	15	from	from	ADP
ejpam-5447	307	16	a	a	DET
ejpam-5447	307	17	computational	computational	ADJ
ejpam-5447	307	18	perspective	perspective	NOUN
ejpam-5447	307	19	.	.	PUNCT
ejpam-5447	308	1	sci	sci	PROPN
ejpam-5447	308	2	.	.	PUNCT
ejpam-5447	308	3	afr	afr	PROPN
ejpam-5447	308	4	.	.	PROPN
ejpam-5447	308	5	,	,	PUNCT
ejpam-5447	308	6	7:1–10	7:1–10	NOUN
ejpam-5447	308	7	,	,	PUNCT
ejpam-5447	308	8	2020	2020	NUM
ejpam-5447	308	9	.	.	PUNCT
ejpam-5447	309	1	[	[	X
ejpam-5447	309	2	17	17	NUM
ejpam-5447	309	3	]	]	X
ejpam-5447	309	4	p.	p.	NOUN
ejpam-5447	309	5	a.	a.	PROPN
ejpam-5447	309	6	naik	naik	PROPN
ejpam-5447	309	7	,	,	PUNCT
ejpam-5447	309	8	m.	m.	PROPN
ejpam-5447	309	9	yavuz	yavuz	PROPN
ejpam-5447	309	10	,	,	PUNCT
ejpam-5447	309	11	s.	s.	PROPN
ejpam-5447	309	12	qureshi	qureshi	PROPN
ejpam-5447	309	13	,	,	PUNCT
ejpam-5447	309	14	m.	m.	PROPN
ejpam-5447	309	15	naik	naik	PROPN
ejpam-5447	309	16	,	,	PUNCT
ejpam-5447	309	17	k.	k.	PROPN
ejpam-5447	309	18	m.	m.	PROPN
ejpam-5447	309	19	owolabi	owolabi	NOUN
ejpam-5447	309	20	,	,	PUNCT
ejpam-5447	309	21	a.	a.	NOUN
ejpam-5447	309	22	soomro	soomro	PROPN
ejpam-5447	309	23	,	,	PUNCT
ejpam-5447	309	24	and	and	CCONJ
ejpam-5447	309	25	a.	a.	PROPN
ejpam-5447	309	26	h.	h.	PROPN
ejpam-5447	309	27	ganie	ganie	PROPN
ejpam-5447	309	28	.	.	PUNCT
ejpam-5447	310	1	memory	memory	NOUN
ejpam-5447	310	2	impacts	impact	NOUN
ejpam-5447	310	3	in	in	ADP
ejpam-5447	310	4	hepatitis	hepatitis	PROPN
ejpam-5447	310	5	c	c	NOUN
ejpam-5447	310	6	:	:	PUNCT
ejpam-5447	310	7	a	a	DET
ejpam-5447	310	8	global	global	ADJ
ejpam-5447	310	9	analysis	analysis	NOUN
ejpam-5447	310	10	of	of	ADP
ejpam-5447	310	11	a	a	DET
ejpam-5447	310	12	fractional	fractional	ADJ
ejpam-5447	310	13	-	-	PUNCT
ejpam-5447	310	14	order	order	NOUN
ejpam-5447	310	15	model	model	NOUN
ejpam-5447	310	16	with	with	ADP
ejpam-5447	310	17	an	an	DET
ejpam-5447	310	18	effective	effective	ADJ
ejpam-5447	310	19	treatment	treatment	NOUN
ejpam-5447	310	20	.	.	PUNCT
ejpam-5447	311	1	computer	computer	NOUN
ejpam-5447	311	2	methods	method	NOUN
ejpam-5447	311	3	and	and	CCONJ
ejpam-5447	311	4	programs	program	NOUN
ejpam-5447	311	5	in	in	ADP
ejpam-5447	311	6	biomedicine	biomedicine	NOUN
ejpam-5447	311	7	,	,	PUNCT
ejpam-5447	311	8	254:1	254:1	NUM
ejpam-5447	311	9	–	–	PUNCT
ejpam-5447	311	10	15	15	NUM
ejpam-5447	311	11	,	,	PUNCT
ejpam-5447	311	12	2024	2024	NUM
ejpam-5447	311	13	.	.	PUNCT
ejpam-5447	312	1	[	[	X
ejpam-5447	312	2	18	18	NUM
ejpam-5447	312	3	]	]	X
ejpam-5447	312	4	f.	f.	PROPN
ejpam-5447	312	5	ndairou	ndairou	PROPN
ejpam-5447	312	6	,	,	PUNCT
ejpam-5447	312	7	i.	i.	PROPN
ejpam-5447	312	8	area	area	PROPN
ejpam-5447	312	9	,	,	PUNCT
ejpam-5447	312	10	j.	j.	PROPN
ejpam-5447	312	11	j.	j.	PROPN
ejpam-5447	312	12	nieto	nieto	PROPN
ejpam-5447	312	13	,	,	PUNCT
ejpam-5447	312	14	and	and	CCONJ
ejpam-5447	312	15	d.	d.	PROPN
ejpam-5447	312	16	f.	f.	PROPN
ejpam-5447	312	17	m.	m.	PROPN
ejpam-5447	312	18	torres	torres	PROPN
ejpam-5447	312	19	.	.	PUNCT
ejpam-5447	313	1	mathematical	mathematical	ADJ
ejpam-5447	313	2	modeling	modeling	NOUN
ejpam-5447	313	3	of	of	ADP
ejpam-5447	313	4	covid-19	covid-19	PROPN
ejpam-5447	313	5	transmission	transmission	NOUN
ejpam-5447	313	6	dynamics	dynamic	NOUN
ejpam-5447	313	7	with	with	ADP
ejpam-5447	313	8	a	a	DET
ejpam-5447	313	9	case	case	NOUN
ejpam-5447	313	10	study	study	NOUN
ejpam-5447	313	11	of	of	ADP
ejpam-5447	313	12	wuhan	wuhan	PROPN
ejpam-5447	313	13	.	.	PUNCT
ejpam-5447	314	1	chaos	chaos	NOUN
ejpam-5447	314	2	solitons	soliton	NOUN
ejpam-5447	314	3	fract	fract	NOUN
ejpam-5447	314	4	.	.	PUNCT
ejpam-5447	314	5	,	,	PUNCT
ejpam-5447	314	6	135:1–12	135:1–12	NUM
ejpam-5447	314	7	,	,	PUNCT
ejpam-5447	314	8	2020	2020	NUM
ejpam-5447	314	9	.	.	PUNCT
ejpam-5447	315	1	[	[	X
ejpam-5447	315	2	19	19	NUM
ejpam-5447	315	3	]	]	PUNCT
ejpam-5447	315	4	k.	k.	PROPN
ejpam-5447	315	5	m.	m.	PROPN
ejpam-5447	315	6	owolabi	owolabi	NOUN
ejpam-5447	315	7	and	and	CCONJ
ejpam-5447	315	8	a.	a.	NOUN
ejpam-5447	315	9	atangana	atangana	PROPN
ejpam-5447	315	10	.	.	PUNCT
ejpam-5447	316	1	analysis	analysis	NOUN
ejpam-5447	316	2	and	and	CCONJ
ejpam-5447	316	3	application	application	NOUN
ejpam-5447	316	4	of	of	ADP
ejpam-5447	316	5	new	new	ADJ
ejpam-5447	316	6	fractional	fractional	ADJ
ejpam-5447	316	7	adamsbashforth	adamsbashforth	NOUN
ejpam-5447	316	8	scheme	scheme	NOUN
ejpam-5447	316	9	with	with	ADP
ejpam-5447	316	10	caputo	caputo	PROPN
ejpam-5447	316	11	-	-	PUNCT
ejpam-5447	316	12	fabrizio	fabrizio	PROPN
ejpam-5447	316	13	derivative	derivative	NOUN
ejpam-5447	316	14	.	.	PUNCT
ejpam-5447	317	1	chaos	chaos	NOUN
ejpam-5447	317	2	soliton	soliton	NOUN
ejpam-5447	317	3	.	.	PUNCT
ejpam-5447	318	1	fract	fract	PROPN
ejpam-5447	318	2	.	.	PUNCT
ejpam-5447	318	3	,	,	PUNCT
ejpam-5447	318	4	105:111	105:111	NUM
ejpam-5447	318	5	–	–	PUNCT
ejpam-5447	318	6	119	119	NUM
ejpam-5447	318	7	,	,	PUNCT
ejpam-5447	318	8	2017	2017	NUM
ejpam-5447	318	9	.	.	PUNCT
ejpam-5447	319	1	[	[	X
ejpam-5447	319	2	20	20	NUM
ejpam-5447	319	3	]	]	PUNCT
ejpam-5447	319	4	s.	s.	PROPN
ejpam-5447	319	5	qureshi	qureshi	PROPN
ejpam-5447	319	6	,	,	PUNCT
ejpam-5447	319	7	i.	i.	PROPN
ejpam-5447	319	8	k.	k.	PROPN
ejpam-5447	319	9	argyros	argyros	PROPN
ejpam-5447	319	10	,	,	PUNCT
ejpam-5447	319	11	h.	h.	PROPN
ejpam-5447	319	12	jafari	jafari	PROPN
ejpam-5447	319	13	,	,	PUNCT
ejpam-5447	319	14	a.	a.	PROPN
ejpam-5447	319	15	soomro	soomro	PROPN
ejpam-5447	319	16	,	,	PUNCT
ejpam-5447	319	17	and	and	CCONJ
ejpam-5447	319	18	k.	k.	PROPN
ejpam-5447	319	19	gdawiec	gdawiec	PROPN
ejpam-5447	319	20	.	.	PUNCT
ejpam-5447	320	1	a	a	DET
ejpam-5447	320	2	highly	highly	ADV
ejpam-5447	320	3	accurate	accurate	ADJ
ejpam-5447	320	4	family	family	NOUN
ejpam-5447	320	5	of	of	ADP
ejpam-5447	320	6	stable	stable	ADJ
ejpam-5447	320	7	and	and	CCONJ
ejpam-5447	320	8	convergent	convergent	ADJ
ejpam-5447	320	9	numerical	numerical	ADJ
ejpam-5447	320	10	solvers	solver	NOUN
ejpam-5447	320	11	based	base	VERB
ejpam-5447	320	12	on	on	ADP
ejpam-5447	320	13	the	the	DET
ejpam-5447	320	14	daftardar	daftardar	NOUN
ejpam-5447	320	15	-	-	PUNCT
ejpam-5447	320	16	gejji	gejji	NOUN
ejpam-5447	320	17	and	and	CCONJ
ejpam-5447	320	18	jafari	jafari	ADJ
ejpam-5447	320	19	decomposition	decomposition	NOUN
ejpam-5447	320	20	technique	technique	NOUN
ejpam-5447	320	21	for	for	ADP
ejpam-5447	320	22	systems	system	NOUN
ejpam-5447	320	23	of	of	ADP
ejpam-5447	320	24	nonlinear	nonlinear	ADJ
ejpam-5447	320	25	equations	equation	NOUN
ejpam-5447	320	26	.	.	PUNCT
ejpam-5447	321	1	methodsx	methodsx	PROPN
ejpam-5447	321	2	,	,	PUNCT
ejpam-5447	321	3	13:1	13:1	NUM
ejpam-5447	321	4	–	–	PUNCT
ejpam-5447	321	5	24	24	NUM
ejpam-5447	321	6	,	,	PUNCT
ejpam-5447	321	7	2024	2024	NUM
ejpam-5447	321	8	.	.	PUNCT
ejpam-5447	322	1	[	[	X
ejpam-5447	322	2	21	21	NUM
ejpam-5447	322	3	]	]	X
ejpam-5447	322	4	s.	s.	PROPN
ejpam-5447	322	5	qureshi	qureshi	PROPN
ejpam-5447	322	6	,	,	PUNCT
ejpam-5447	322	7	a.	a.	PROPN
ejpam-5447	322	8	yusuf	yusuf	PROPN
ejpam-5447	322	9	,	,	PUNCT
ejpam-5447	322	10	a.	a.	NOUN
ejpam-5447	322	11	a.	a.	NOUN
ejpam-5447	322	12	shaikh	shaikh	PROPN
ejpam-5447	322	13	,	,	PUNCT
ejpam-5447	322	14	m.	m.	PROPN
ejpam-5447	322	15	inc	inc	PROPN
ejpam-5447	322	16	,	,	PUNCT
ejpam-5447	322	17	and	and	CCONJ
ejpam-5447	322	18	d.	d.	PROPN
ejpam-5447	322	19	baleanu	baleanu	PROPN
ejpam-5447	322	20	.	.	PUNCT
ejpam-5447	323	1	fractional	fractional	ADJ
ejpam-5447	323	2	modeling	modeling	NOUN
ejpam-5447	323	3	of	of	ADP
ejpam-5447	323	4	blood	blood	NOUN
ejpam-5447	323	5	ethanol	ethanol	NOUN
ejpam-5447	323	6	concentration	concentration	NOUN
ejpam-5447	323	7	system	system	NOUN
ejpam-5447	323	8	with	with	ADP
ejpam-5447	323	9	real	real	ADJ
ejpam-5447	323	10	data	datum	NOUN
ejpam-5447	323	11	application	application	NOUN
ejpam-5447	323	12	.	.	PUNCT
ejpam-5447	324	1	chaos	chaos	NOUN
ejpam-5447	324	2	,	,	PUNCT
ejpam-5447	324	3	29:1–16	29:1–16	NUM
ejpam-5447	324	4	,	,	PUNCT
ejpam-5447	324	5	2019	2019	NUM
ejpam-5447	324	6	.	.	PUNCT
ejpam-5447	325	1	[	[	X
ejpam-5447	325	2	22	22	NUM
ejpam-5447	325	3	]	]	PUNCT
ejpam-5447	325	4	a.	a.	NOUN
ejpam-5447	325	5	rachah	rachah	NOUN
ejpam-5447	325	6	and	and	CCONJ
ejpam-5447	325	7	d.	d.	PROPN
ejpam-5447	325	8	f.	f.	PROPN
ejpam-5447	325	9	m.	m.	PROPN
ejpam-5447	325	10	torres	torres	PROPN
ejpam-5447	325	11	.	.	PUNCT
ejpam-5447	326	1	mathematical	mathematical	ADJ
ejpam-5447	326	2	modeling	modeling	NOUN
ejpam-5447	326	3	,	,	PUNCT
ejpam-5447	326	4	simulation	simulation	NOUN
ejpam-5447	326	5	,	,	PUNCT
ejpam-5447	326	6	and	and	CCONJ
ejpam-5447	326	7	optimal	optimal	ADJ
ejpam-5447	326	8	control	control	NOUN
ejpam-5447	326	9	of	of	ADP
ejpam-5447	326	10	the	the	DET
ejpam-5447	326	11	2014	2014	NUM
ejpam-5447	326	12	ebola	ebola	NOUN
ejpam-5447	326	13	outbreak	outbreak	NOUN
ejpam-5447	326	14	in	in	ADP
ejpam-5447	326	15	west	west	PROPN
ejpam-5447	326	16	africa	africa	PROPN
ejpam-5447	326	17	.	.	PUNCT
ejpam-5447	327	1	discr	discr	PROPN
ejpam-5447	327	2	.	.	PUNCT
ejpam-5447	328	1	dyn	dyn	PROPN
ejpam-5447	328	2	.	.	PUNCT
ejpam-5447	329	1	nature	nature	PROPN
ejpam-5447	329	2	soc	soc	PROPN
ejpam-5447	329	3	.	.	PUNCT
ejpam-5447	329	4	,	,	PUNCT
ejpam-5447	329	5	3:1–10	3:1–10	NUM
ejpam-5447	329	6	,	,	PUNCT
ejpam-5447	329	7	2015	2015	NUM
ejpam-5447	329	8	.	.	PUNCT
ejpam-5447	330	1	[	[	X
ejpam-5447	330	2	23	23	NUM
ejpam-5447	330	3	]	]	PUNCT
ejpam-5447	330	4	a.	a.	NOUN
ejpam-5447	330	5	rachah	rachah	NOUN
ejpam-5447	330	6	and	and	CCONJ
ejpam-5447	330	7	d.	d.	PROPN
ejpam-5447	330	8	f.	f.	PROPN
ejpam-5447	330	9	m.	m.	PROPN
ejpam-5447	330	10	torres	torres	PROPN
ejpam-5447	330	11	.	.	PUNCT
ejpam-5447	331	1	predicting	predict	VERB
ejpam-5447	331	2	and	and	CCONJ
ejpam-5447	331	3	controlling	control	VERB
ejpam-5447	331	4	the	the	DET
ejpam-5447	331	5	ebola	ebola	NOUN
ejpam-5447	331	6	infection	infection	NOUN
ejpam-5447	331	7	.	.	PUNCT
ejpam-5447	332	1	math	math	NOUN
ejpam-5447	332	2	.	.	PUNCT
ejpam-5447	333	1	methods	method	NOUN
ejpam-5447	333	2	appl	appl	PROPN
ejpam-5447	333	3	.	.	PUNCT
ejpam-5447	334	1	sci	sci	PROPN
ejpam-5447	334	2	.	.	PROPN
ejpam-5447	334	3	,	,	PUNCT
ejpam-5447	334	4	40:6155–6164	40:6155–6164	NOUN
ejpam-5447	334	5	,	,	PUNCT
ejpam-5447	334	6	2017	2017	NUM
ejpam-5447	334	7	.	.	PUNCT
ejpam-5447	335	1	references	reference	NOUN
ejpam-5447	335	2	3184	3184	NUM
ejpam-5447	335	3	[	[	X
ejpam-5447	335	4	24	24	NUM
ejpam-5447	335	5	]	]	PUNCT
ejpam-5447	335	6	s.	s.	PROPN
ejpam-5447	335	7	saber	saber	PROPN
ejpam-5447	335	8	.	.	PUNCT
ejpam-5447	336	1	control	control	NOUN
ejpam-5447	336	2	of	of	ADP
ejpam-5447	336	3	chaos	chaos	NOUN
ejpam-5447	336	4	in	in	ADP
ejpam-5447	336	5	the	the	DET
ejpam-5447	336	6	burke	burke	PROPN
ejpam-5447	336	7	-	-	PUNCT
ejpam-5447	336	8	shaw	shaw	PROPN
ejpam-5447	336	9	system	system	NOUN
ejpam-5447	336	10	of	of	ADP
ejpam-5447	336	11	fractal	fractal	ADJ
ejpam-5447	336	12	-	-	PUNCT
ejpam-5447	336	13	fractional	fractional	ADJ
ejpam-5447	336	14	order	order	NOUN
ejpam-5447	336	15	in	in	ADP
ejpam-5447	336	16	the	the	DET
ejpam-5447	336	17	sense	sense	NOUN
ejpam-5447	336	18	of	of	ADP
ejpam-5447	336	19	caputo	caputo	PROPN
ejpam-5447	336	20	-	-	PUNCT
ejpam-5447	336	21	fabrizio	fabrizio	PROPN
ejpam-5447	336	22	.	.	PUNCT
ejpam-5447	337	1	j.	j.	PROPN
ejpam-5447	337	2	applied	apply	VERB
ejpam-5447	337	3	mathematics	mathematic	NOUN
ejpam-5447	337	4	and	and	CCONJ
ejpam-5447	337	5	computational	computational	ADJ
ejpam-5447	337	6	mechanics	mechanic	NOUN
ejpam-5447	337	7	,	,	PUNCT
ejpam-5447	337	8	23:83–96	23:83–96	PROPN
ejpam-5447	337	9	,	,	PUNCT
ejpam-5447	337	10	2024	2024	NUM
ejpam-5447	337	11	.	.	PUNCT
ejpam-5447	338	1	[	[	X
ejpam-5447	338	2	25	25	NUM
ejpam-5447	338	3	]	]	X
ejpam-5447	338	4	h.	h.	PROPN
ejpam-5447	338	5	m.	m.	PROPN
ejpam-5447	338	6	srivastava	srivastava	PROPN
ejpam-5447	338	7	,	,	PUNCT
ejpam-5447	338	8	k.	k.	PROPN
ejpam-5447	338	9	m.	m.	PROPN
ejpam-5447	338	10	saad	saad	PROPN
ejpam-5447	338	11	,	,	PUNCT
ejpam-5447	338	12	and	and	CCONJ
ejpam-5447	338	13	m.	m.	NOUN
ejpam-5447	338	14	m.	m.	NOUN
ejpam-5447	338	15	khader	khader	PROPN
ejpam-5447	338	16	.	.	PUNCT
ejpam-5447	339	1	an	an	DET
ejpam-5447	339	2	efficient	efficient	ADJ
ejpam-5447	339	3	spectral	spectral	ADJ
ejpam-5447	339	4	collocation	collocation	NOUN
ejpam-5447	339	5	method	method	NOUN
ejpam-5447	339	6	for	for	ADP
ejpam-5447	339	7	the	the	DET
ejpam-5447	339	8	dynamic	dynamic	ADJ
ejpam-5447	339	9	simulation	simulation	NOUN
ejpam-5447	339	10	of	of	ADP
ejpam-5447	339	11	the	the	DET
ejpam-5447	339	12	fractional	fractional	ADJ
ejpam-5447	339	13	epidemiological	epidemiological	ADJ
ejpam-5447	339	14	model	model	NOUN
ejpam-5447	339	15	of	of	ADP
ejpam-5447	339	16	the	the	DET
ejpam-5447	339	17	ebola	ebola	PROPN
ejpam-5447	339	18	virus	virus	PROPN
ejpam-5447	339	19	.	.	PUNCT
ejpam-5447	340	1	chaos	chaos	NOUN
ejpam-5447	340	2	,	,	PUNCT
ejpam-5447	340	3	solitons	soliton	NOUN
ejpam-5447	340	4	&	&	CCONJ
ejpam-5447	340	5	fractals	fractal	NOUN
ejpam-5447	340	6	,	,	PUNCT
ejpam-5447	340	7	140:1–7	140:1–7	NUM
ejpam-5447	340	8	,	,	PUNCT
ejpam-5447	340	9	2020	2020	NUM
ejpam-5447	340	10	.	.	PUNCT