id	sid	tid	token	lemma	pos
ejpam-5013	1	1	european	european	PROPN
ejpam-5013	1	2	journal	journal	PROPN
ejpam-5013	1	3	of	of	ADP
ejpam-5013	1	4	pure	pure	ADJ
ejpam-5013	1	5	and	and	CCONJ
ejpam-5013	1	6	applied	apply	VERB
ejpam-5013	1	7	mathematics	mathematic	NOUN
ejpam-5013	1	8	vol	vol	NOUN
ejpam-5013	1	9	.	.	PROPN
ejpam-5013	2	1	17	17	NUM
ejpam-5013	2	2	,	,	PUNCT
ejpam-5013	2	3	no	no	INTJ
ejpam-5013	2	4	.	.	NOUN
ejpam-5013	2	5	1	1	NUM
ejpam-5013	2	6	,	,	PUNCT
ejpam-5013	2	7	2024	2024	NUM
ejpam-5013	2	8	,	,	PUNCT
ejpam-5013	2	9	372	372	NUM
ejpam-5013	2	10	-	-	SYM
ejpam-5013	2	11	384	384	NUM
ejpam-5013	2	12	issn	issn	PROPN
ejpam-5013	2	13	1307	1307	NUM
ejpam-5013	2	14	-	-	SYM
ejpam-5013	2	15	5543	5543	NUM
ejpam-5013	2	16	–	–	PUNCT
ejpam-5013	3	1	ejpam.com	ejpam.com	X
ejpam-5013	3	2	published	publish	VERB
ejpam-5013	3	3	by	by	ADP
ejpam-5013	3	4	new	new	PROPN
ejpam-5013	3	5	york	york	PROPN
ejpam-5013	3	6	business	business	PROPN
ejpam-5013	3	7	global	global	ADJ
ejpam-5013	3	8	solving	solve	VERB
ejpam-5013	3	9	fractional	fractional	ADJ
ejpam-5013	3	10	riccati	riccati	PROPN
ejpam-5013	3	11	differential	differential	NOUN
ejpam-5013	3	12	equation	equation	NOUN
ejpam-5013	3	13	with	with	ADP
ejpam-5013	3	14	caputofabrizio	caputofabrizio	PROPN
ejpam-5013	3	15	fractional	fractional	PROPN
ejpam-5013	3	16	derivative	derivative	ADJ
ejpam-5013	3	17	eman	eman	NOUN
ejpam-5013	3	18	abuteen	abuteen	PROPN
ejpam-5013	3	19	department	department	PROPN
ejpam-5013	3	20	of	of	ADP
ejpam-5013	3	21	basic	basic	ADJ
ejpam-5013	3	22	scientific	scientific	ADJ
ejpam-5013	3	23	sciences	science	NOUN
ejpam-5013	3	24	,	,	PUNCT
ejpam-5013	3	25	faculty	faculty	NOUN
ejpam-5013	3	26	of	of	ADP
ejpam-5013	3	27	engineering	engineering	NOUN
ejpam-5013	3	28	technology	technology	NOUN
ejpam-5013	3	29	,	,	PUNCT
ejpam-5013	3	30	al	al	PROPN
ejpam-5013	3	31	-	-	PUNCT
ejpam-5013	3	32	balqa	balqa	NOUN
ejpam-5013	3	33	applied	apply	VERB
ejpam-5013	3	34	university	university	NOUN
ejpam-5013	3	35	,	,	PUNCT
ejpam-5013	3	36	jordan	jordan	PROPN
ejpam-5013	3	37	abstract	abstract	PROPN
ejpam-5013	3	38	.	.	PUNCT
ejpam-5013	4	1	this	this	DET
ejpam-5013	4	2	article	article	NOUN
ejpam-5013	4	3	offers	offer	VERB
ejpam-5013	4	4	an	an	DET
ejpam-5013	4	5	analytical	analytical	ADJ
ejpam-5013	4	6	solution	solution	NOUN
ejpam-5013	4	7	for	for	ADP
ejpam-5013	4	8	the	the	DET
ejpam-5013	4	9	fractional	fractional	ADJ
ejpam-5013	4	10	riccati	riccati	PROPN
ejpam-5013	4	11	differential	differential	NOUN
ejpam-5013	4	12	equation	equation	NOUN
ejpam-5013	4	13	in	in	ADP
ejpam-5013	4	14	three	three	NUM
ejpam-5013	4	15	distinct	distinct	ADJ
ejpam-5013	4	16	cases	case	NOUN
ejpam-5013	4	17	.	.	PUNCT
ejpam-5013	5	1	these	these	DET
ejpam-5013	5	2	cases	case	NOUN
ejpam-5013	5	3	are	be	AUX
ejpam-5013	5	4	determined	determine	VERB
ejpam-5013	5	5	by	by	ADP
ejpam-5013	5	6	the	the	DET
ejpam-5013	5	7	discriminant	discriminant	NOUN
ejpam-5013	5	8	and	and	CCONJ
ejpam-5013	5	9	the	the	DET
ejpam-5013	5	10	analytical	analytical	ADJ
ejpam-5013	5	11	solution	solution	NOUN
ejpam-5013	5	12	based	base	VERB
ejpam-5013	5	13	on	on	ADP
ejpam-5013	5	14	the	the	DET
ejpam-5013	5	15	properties	property	NOUN
ejpam-5013	5	16	of	of	ADP
ejpam-5013	5	17	the	the	DET
ejpam-5013	5	18	caputo	caputo	PROPN
ejpam-5013	5	19	-	-	PUNCT
ejpam-5013	5	20	fabrizio	fabrizio	PROPN
ejpam-5013	5	21	fractional	fractional	ADJ
ejpam-5013	5	22	derivative	derivative	ADJ
ejpam-5013	5	23	and	and	CCONJ
ejpam-5013	5	24	integral	integral	ADJ
ejpam-5013	5	25	.	.	PUNCT
ejpam-5013	6	1	several	several	ADJ
ejpam-5013	6	2	examples	example	NOUN
ejpam-5013	6	3	were	be	AUX
ejpam-5013	6	4	tested	test	VERB
ejpam-5013	6	5	using	use	VERB
ejpam-5013	6	6	this	this	DET
ejpam-5013	6	7	analytical	analytical	ADJ
ejpam-5013	6	8	solution	solution	NOUN
ejpam-5013	6	9	.	.	PUNCT
ejpam-5013	7	1	it	it	PRON
ejpam-5013	7	2	is	be	AUX
ejpam-5013	7	3	noteworthy	noteworthy	ADJ
ejpam-5013	7	4	that	that	SCONJ
ejpam-5013	7	5	various	various	ADJ
ejpam-5013	7	6	methods	method	NOUN
ejpam-5013	7	7	have	have	AUX
ejpam-5013	7	8	yielded	yield	VERB
ejpam-5013	7	9	related	related	ADJ
ejpam-5013	7	10	results	result	NOUN
ejpam-5013	7	11	as	as	SCONJ
ejpam-5013	7	12	indicated	indicate	VERB
ejpam-5013	7	13	in	in	ADP
ejpam-5013	7	14	the	the	DET
ejpam-5013	7	15	literature	literature	NOUN
ejpam-5013	7	16	.	.	PUNCT
ejpam-5013	8	1	2020	2020	NUM
ejpam-5013	8	2	mathematics	mathematics	PROPN
ejpam-5013	8	3	subject	subject	NOUN
ejpam-5013	8	4	classifications	classification	NOUN
ejpam-5013	8	5	:	:	PUNCT
ejpam-5013	8	6	34a08	34a08	NUM
ejpam-5013	8	7	,	,	PUNCT
ejpam-5013	8	8	26a33	26a33	NUM
ejpam-5013	8	9	,	,	PUNCT
ejpam-5013	8	10	34a34	34a34	NUM
ejpam-5013	8	11	,	,	PUNCT
ejpam-5013	8	12	65l05	65l05	NUM
ejpam-5013	8	13	key	key	ADJ
ejpam-5013	8	14	words	word	NOUN
ejpam-5013	8	15	and	and	CCONJ
ejpam-5013	8	16	phrases	phrase	NOUN
ejpam-5013	8	17	:	:	PUNCT
ejpam-5013	8	18	caputo	caputo	PROPN
ejpam-5013	8	19	-	-	PUNCT
ejpam-5013	8	20	fabrizio	fabrizio	PROPN
ejpam-5013	8	21	fractional	fractional	ADJ
ejpam-5013	8	22	operator	operator	NOUN
ejpam-5013	8	23	,	,	PUNCT
ejpam-5013	8	24	riccati	riccati	PROPN
ejpam-5013	8	25	differential	differential	NOUN
ejpam-5013	8	26	equation	equation	NOUN
ejpam-5013	8	27	,	,	PUNCT
ejpam-5013	8	28	fractional	fractional	ADJ
ejpam-5013	8	29	differential	differential	NOUN
ejpam-5013	8	30	equation	equation	NOUN
ejpam-5013	8	31	1	1	NUM
ejpam-5013	8	32	.	.	PUNCT
ejpam-5013	9	1	introduction	introduction	NOUN
ejpam-5013	9	2	fractional	fractional	ADJ
ejpam-5013	9	3	calculus	calculus	NOUN
ejpam-5013	9	4	serves	serve	VERB
ejpam-5013	9	5	as	as	ADP
ejpam-5013	9	6	a	a	DET
ejpam-5013	9	7	smooth	smooth	ADJ
ejpam-5013	9	8	extension	extension	NOUN
ejpam-5013	9	9	of	of	ADP
ejpam-5013	9	10	classical	classical	ADJ
ejpam-5013	9	11	calculus	calculus	NOUN
ejpam-5013	9	12	,	,	PUNCT
ejpam-5013	9	13	exploring	explore	VERB
ejpam-5013	9	14	integrals	integral	NOUN
ejpam-5013	9	15	and	and	CCONJ
ejpam-5013	9	16	derivatives	derivative	NOUN
ejpam-5013	9	17	of	of	ADP
ejpam-5013	9	18	non	non	ADJ
ejpam-5013	9	19	-	-	ADJ
ejpam-5013	9	20	integer	integer	ADJ
ejpam-5013	9	21	order	order	NOUN
ejpam-5013	10	1	[	[	X
ejpam-5013	10	2	19],[34],[2	19],[34],[2	NOUN
ejpam-5013	10	3	]	]	PUNCT
ejpam-5013	10	4	.	.	PUNCT
ejpam-5013	11	1	this	this	DET
ejpam-5013	11	2	extension	extension	NOUN
ejpam-5013	11	3	opens	open	VERB
ejpam-5013	11	4	the	the	DET
ejpam-5013	11	5	door	door	NOUN
ejpam-5013	11	6	to	to	ADP
ejpam-5013	11	7	a	a	DET
ejpam-5013	11	8	multitude	multitude	NOUN
ejpam-5013	11	9	of	of	ADP
ejpam-5013	11	10	applications	application	NOUN
ejpam-5013	11	11	and	and	CCONJ
ejpam-5013	11	12	real	real	ADJ
ejpam-5013	11	13	-	-	PUNCT
ejpam-5013	11	14	world	world	NOUN
ejpam-5013	11	15	phenomena	phenomenon	NOUN
ejpam-5013	11	16	.	.	PUNCT
ejpam-5013	12	1	in	in	ADP
ejpam-5013	12	2	various	various	ADJ
ejpam-5013	12	3	disciplines	discipline	NOUN
ejpam-5013	12	4	,	,	PUNCT
ejpam-5013	12	5	including	include	VERB
ejpam-5013	12	6	engineering	engineering	NOUN
ejpam-5013	12	7	,	,	PUNCT
ejpam-5013	12	8	physics	physics	NOUN
ejpam-5013	12	9	,	,	PUNCT
ejpam-5013	12	10	chemistry	chemistry	NOUN
ejpam-5013	12	11	,	,	PUNCT
ejpam-5013	12	12	biology	biology	NOUN
ejpam-5013	12	13	,	,	PUNCT
ejpam-5013	12	14	economics	economic	NOUN
ejpam-5013	12	15	,	,	PUNCT
ejpam-5013	12	16	control	control	NOUN
ejpam-5013	12	17	theory	theory	NOUN
ejpam-5013	12	18	,	,	PUNCT
ejpam-5013	12	19	and	and	CCONJ
ejpam-5013	12	20	other	other	ADJ
ejpam-5013	12	21	different	different	ADJ
ejpam-5013	12	22	fields	field	NOUN
ejpam-5013	12	23	,	,	PUNCT
ejpam-5013	12	24	fractional	fractional	ADJ
ejpam-5013	12	25	calculus	calculus	NOUN
ejpam-5013	12	26	has	have	AUX
ejpam-5013	12	27	evolved	evolve	VERB
ejpam-5013	12	28	into	into	ADP
ejpam-5013	12	29	a	a	DET
ejpam-5013	12	30	pivotal	pivotal	ADJ
ejpam-5013	12	31	tool	tool	NOUN
ejpam-5013	12	32	.	.	PUNCT
ejpam-5013	13	1	it	it	PRON
ejpam-5013	13	2	achieves	achieve	VERB
ejpam-5013	13	3	this	this	PRON
ejpam-5013	13	4	by	by	ADP
ejpam-5013	13	5	transforming	transform	VERB
ejpam-5013	13	6	complex	complex	ADJ
ejpam-5013	13	7	problems	problem	NOUN
ejpam-5013	13	8	in	in	ADP
ejpam-5013	13	9	these	these	DET
ejpam-5013	13	10	domains	domain	NOUN
ejpam-5013	13	11	into	into	ADP
ejpam-5013	13	12	mathematical	mathematical	ADJ
ejpam-5013	13	13	models	model	NOUN
ejpam-5013	13	14	using	use	VERB
ejpam-5013	13	15	fractional	fractional	ADJ
ejpam-5013	13	16	orders	order	NOUN
ejpam-5013	13	17	.	.	PUNCT
ejpam-5013	14	1	despite	despite	SCONJ
ejpam-5013	14	2	these	these	DET
ejpam-5013	14	3	advancements	advancement	NOUN
ejpam-5013	14	4	,	,	PUNCT
ejpam-5013	14	5	challenges	challenge	NOUN
ejpam-5013	14	6	persist	persist	VERB
ejpam-5013	14	7	in	in	ADP
ejpam-5013	14	8	solving	solve	VERB
ejpam-5013	14	9	several	several	ADJ
ejpam-5013	14	10	models	model	NOUN
ejpam-5013	14	11	that	that	PRON
ejpam-5013	14	12	employ	employ	VERB
ejpam-5013	14	13	fractional	fractional	ADJ
ejpam-5013	14	14	differential	differential	NOUN
ejpam-5013	14	15	operators	operator	NOUN
ejpam-5013	14	16	.	.	PUNCT
ejpam-5013	15	1	recent	recent	ADJ
ejpam-5013	15	2	progress	progress	NOUN
ejpam-5013	15	3	in	in	ADP
ejpam-5013	15	4	the	the	DET
ejpam-5013	15	5	theory	theory	NOUN
ejpam-5013	15	6	and	and	CCONJ
ejpam-5013	15	7	applications	application	NOUN
ejpam-5013	15	8	of	of	ADP
ejpam-5013	15	9	fractional	fractional	ADJ
ejpam-5013	15	10	calculus	calculus	NOUN
ejpam-5013	15	11	has	have	AUX
ejpam-5013	15	12	been	be	AUX
ejpam-5013	15	13	observed	observe	VERB
ejpam-5013	15	14	,	,	PUNCT
ejpam-5013	15	15	introducing	introduce	VERB
ejpam-5013	15	16	analytical	analytical	ADJ
ejpam-5013	15	17	methods	method	NOUN
ejpam-5013	15	18	for	for	ADP
ejpam-5013	15	19	resolving	resolve	VERB
ejpam-5013	15	20	fractional	fractional	ADJ
ejpam-5013	15	21	differential	differential	ADJ
ejpam-5013	15	22	equations	equation	NOUN
ejpam-5013	15	23	,	,	PUNCT
ejpam-5013	15	24	such	such	ADJ
ejpam-5013	15	25	as	as	ADP
ejpam-5013	15	26	adomain	adomain	NOUN
ejpam-5013	15	27	decomposition	decomposition	NOUN
ejpam-5013	15	28	method	method	NOUN
ejpam-5013	15	29	[	[	X
ejpam-5013	15	30	9	9	NUM
ejpam-5013	15	31	]	]	PUNCT
ejpam-5013	15	32	,	,	PUNCT
ejpam-5013	15	33	variational	variational	ADJ
ejpam-5013	15	34	iteration	iteration	NOUN
ejpam-5013	15	35	method	method	NOUN
ejpam-5013	15	36	[	[	X
ejpam-5013	15	37	44	44	NUM
ejpam-5013	15	38	]	]	PUNCT
ejpam-5013	15	39	,	,	PUNCT
ejpam-5013	15	40	the	the	DET
ejpam-5013	15	41	continuous	continuous	ADJ
ejpam-5013	15	42	and	and	CCONJ
ejpam-5013	15	43	discrete	discrete	ADJ
ejpam-5013	15	44	symmetry	symmetry	NOUN
ejpam-5013	15	45	methods	method	NOUN
ejpam-5013	15	46	[	[	X
ejpam-5013	15	47	17],[41],[15],[16	17],[41],[15],[16	NUM
ejpam-5013	15	48	]	]	PUNCT
ejpam-5013	15	49	.	.	PUNCT
ejpam-5013	16	1	numerous	numerous	ADJ
ejpam-5013	16	2	fractional	fractional	ADJ
ejpam-5013	16	3	operators	operator	NOUN
ejpam-5013	16	4	find	find	VERB
ejpam-5013	16	5	usage	usage	NOUN
ejpam-5013	16	6	in	in	ADP
ejpam-5013	16	7	the	the	DET
ejpam-5013	16	8	literature	literature	NOUN
ejpam-5013	16	9	,	,	PUNCT
ejpam-5013	16	10	some	some	PRON
ejpam-5013	16	11	are	be	AUX
ejpam-5013	16	12	more	more	ADV
ejpam-5013	16	13	widely	widely	ADV
ejpam-5013	16	14	adopted	adopt	VERB
ejpam-5013	16	15	,	,	PUNCT
ejpam-5013	16	16	such	such	ADJ
ejpam-5013	16	17	as	as	ADP
ejpam-5013	16	18	riemann	riemann	PROPN
ejpam-5013	16	19	-	-	PUNCT
ejpam-5013	16	20	liouville	liouville	PROPN
ejpam-5013	16	21	and	and	CCONJ
ejpam-5013	16	22	caputo	caputo	PROPN
ejpam-5013	16	23	operators	operators	PROPN
ejpam-5013	16	24	.	.	PUNCT
ejpam-5013	17	1	the	the	DET
ejpam-5013	17	2	integral	integral	ADJ
ejpam-5013	17	3	kernel	kernel	NOUN
ejpam-5013	17	4	of	of	ADP
ejpam-5013	17	5	commonly	commonly	ADV
ejpam-5013	17	6	utilized	utilize	VERB
ejpam-5013	17	7	fractional	fractional	ADJ
ejpam-5013	17	8	operators	operator	NOUN
ejpam-5013	17	9	is	be	AUX
ejpam-5013	17	10	characterized	characterize	VERB
ejpam-5013	17	11	by	by	ADP
ejpam-5013	17	12	singularity	singularity	NOUN
ejpam-5013	17	13	.	.	PUNCT
ejpam-5013	18	1	to	to	PART
ejpam-5013	18	2	tackle	tackle	VERB
ejpam-5013	18	3	the	the	DET
ejpam-5013	18	4	singularity	singularity	NOUN
ejpam-5013	18	5	challenge	challenge	NOUN
ejpam-5013	18	6	and	and	CCONJ
ejpam-5013	18	7	attain	attain	VERB
ejpam-5013	18	8	efficient	efficient	ADJ
ejpam-5013	18	9	and	and	CCONJ
ejpam-5013	18	10	dependable	dependable	ADJ
ejpam-5013	18	11	modeling	modeling	NOUN
ejpam-5013	18	12	results	result	NOUN
ejpam-5013	18	13	in	in	ADP
ejpam-5013	18	14	recent	recent	ADJ
ejpam-5013	18	15	times	time	NOUN
ejpam-5013	18	16	,	,	PUNCT
ejpam-5013	18	17	caputo	caputo	PROPN
ejpam-5013	18	18	and	and	CCONJ
ejpam-5013	18	19	fabrizio	fabrizio	PROPN
ejpam-5013	18	20	doi	doi	PROPN
ejpam-5013	18	21	:	:	PUNCT
ejpam-5013	18	22	https://doi.org/10.29020/nybg.ejpam.v17i1.5013	https://doi.org/10.29020/nybg.ejpam.v17i1.5013	PROPN
ejpam-5013	18	23	email	email	NOUN
ejpam-5013	18	24	address	address	NOUN
ejpam-5013	18	25	:	:	PUNCT
ejpam-5013	19	1	dr.eman.abuteen@bau.edu.jo	dr.eman.abuteen@bau.edu.jo	PROPN
ejpam-5013	19	2	(	(	PUNCT
ejpam-5013	19	3	e.	e.	PROPN
ejpam-5013	19	4	abuteen	abuteen	PROPN
ejpam-5013	19	5	)	)	PUNCT
ejpam-5013	19	6	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-5013	20	1	372	372	NUM
ejpam-5013	20	2	©	©	PROPN
ejpam-5013	20	3	2024	2024	NUM
ejpam-5013	20	4	ejpam	ejpam	NOUN
ejpam-5013	20	5	all	all	DET
ejpam-5013	20	6	rights	right	NOUN
ejpam-5013	20	7	reserved	reserve	VERB
ejpam-5013	20	8	.	.	PUNCT
ejpam-5013	21	1	e.	e.	PROPN
ejpam-5013	21	2	abuteen	abuteen	PROPN
ejpam-5013	21	3	/	/	SYM
ejpam-5013	21	4	eur	eur	PROPN
ejpam-5013	21	5	.	.	PUNCT
ejpam-5013	22	1	j.	j.	PROPN
ejpam-5013	22	2	pure	pure	PROPN
ejpam-5013	22	3	appl	appl	PROPN
ejpam-5013	22	4	.	.	PROPN
ejpam-5013	22	5	math	math	PROPN
ejpam-5013	22	6	,	,	PUNCT
ejpam-5013	22	7	17	17	NUM
ejpam-5013	22	8	(	(	PUNCT
ejpam-5013	22	9	1	1	NUM
ejpam-5013	22	10	)	)	PUNCT
ejpam-5013	22	11	(	(	PUNCT
ejpam-5013	22	12	2024	2024	NUM
ejpam-5013	22	13	)	)	PUNCT
ejpam-5013	22	14	,	,	PUNCT
ejpam-5013	22	15	372	372	NUM
ejpam-5013	22	16	-	-	SYM
ejpam-5013	22	17	384	384	NUM
ejpam-5013	22	18	373	373	NUM
ejpam-5013	22	19	have	have	AUX
ejpam-5013	22	20	introduced	introduce	VERB
ejpam-5013	22	21	an	an	DET
ejpam-5013	22	22	effective	effective	ADJ
ejpam-5013	22	23	fractional	fractional	ADJ
ejpam-5013	22	24	order	order	NOUN
ejpam-5013	22	25	caputo	caputo	PROPN
ejpam-5013	22	26	-	-	PUNCT
ejpam-5013	22	27	fabrizio	fabrizio	PROPN
ejpam-5013	22	28	derivative	derivative	NOUN
ejpam-5013	22	29	featuring	feature	VERB
ejpam-5013	22	30	a	a	DET
ejpam-5013	22	31	nonsingular	nonsingular	ADJ
ejpam-5013	22	32	kernel	kernel	NOUN
ejpam-5013	22	33	.	.	PUNCT
ejpam-5013	23	1	a	a	DET
ejpam-5013	23	2	comprehensive	comprehensive	ADJ
ejpam-5013	23	3	presentation	presentation	NOUN
ejpam-5013	23	4	of	of	ADP
ejpam-5013	23	5	the	the	DET
ejpam-5013	23	6	essential	essential	ADJ
ejpam-5013	23	7	traits	trait	NOUN
ejpam-5013	23	8	of	of	ADP
ejpam-5013	23	9	the	the	DET
ejpam-5013	23	10	caputo	caputo	PROPN
ejpam-5013	23	11	-	-	PUNCT
ejpam-5013	23	12	fabrizio	fabrizio	PROPN
ejpam-5013	23	13	derivative	derivative	NOUN
ejpam-5013	23	14	is	be	AUX
ejpam-5013	23	15	provided	provide	VERB
ejpam-5013	23	16	in	in	ADP
ejpam-5013	23	17	[	[	X
ejpam-5013	23	18	31],[14],[29],[13],[12	31],[14],[29],[13],[12	NUM
ejpam-5013	23	19	]	]	X
ejpam-5013	23	20	.	.	PUNCT
ejpam-5013	24	1	later	later	ADV
ejpam-5013	24	2	,	,	PUNCT
ejpam-5013	24	3	many	many	ADJ
ejpam-5013	24	4	authors	author	NOUN
ejpam-5013	24	5	turned	turn	VERB
ejpam-5013	24	6	to	to	ADP
ejpam-5013	24	7	the	the	DET
ejpam-5013	24	8	caputofabrizio	caputofabrizio	NOUN
ejpam-5013	24	9	derivative	derivative	ADJ
ejpam-5013	24	10	to	to	PART
ejpam-5013	24	11	model	model	VERB
ejpam-5013	24	12	diverse	diverse	ADJ
ejpam-5013	24	13	engineering	engineering	NOUN
ejpam-5013	24	14	problems	problem	NOUN
ejpam-5013	24	15	[	[	X
ejpam-5013	24	16	14],[29],[13],[3],[10],[13],[39	14],[29],[13],[3],[10],[13],[39	NUM
ejpam-5013	24	17	]	]	X
ejpam-5013	24	18	.	.	PUNCT
ejpam-5013	25	1	the	the	DET
ejpam-5013	25	2	riccati	riccati	PROPN
ejpam-5013	25	3	differential	differential	NOUN
ejpam-5013	25	4	equation	equation	NOUN
ejpam-5013	25	5	is	be	AUX
ejpam-5013	25	6	employed	employ	VERB
ejpam-5013	25	7	across	across	ADP
ejpam-5013	25	8	diverse	diverse	ADJ
ejpam-5013	25	9	disciplines	discipline	NOUN
ejpam-5013	25	10	like	like	ADP
ejpam-5013	25	11	physics	physics	NOUN
ejpam-5013	25	12	,	,	PUNCT
ejpam-5013	25	13	engineering	engineering	NOUN
ejpam-5013	25	14	,	,	PUNCT
ejpam-5013	25	15	biology	biology	NOUN
ejpam-5013	25	16	,	,	PUNCT
ejpam-5013	25	17	control	control	NOUN
ejpam-5013	25	18	theory	theory	NOUN
ejpam-5013	25	19	,	,	PUNCT
ejpam-5013	25	20	signal	signal	ADJ
ejpam-5013	25	21	processing	processing	NOUN
ejpam-5013	25	22	,	,	PUNCT
ejpam-5013	25	23	and	and	CCONJ
ejpam-5013	25	24	finance	finance	NOUN
ejpam-5013	26	1	[	[	X
ejpam-5013	26	2	25],[6],[20	25],[6],[20	X
ejpam-5013	26	3	]	]	X
ejpam-5013	26	4	.	.	PUNCT
ejpam-5013	27	1	the	the	DET
ejpam-5013	27	2	fractional	fractional	ADJ
ejpam-5013	27	3	riccati	riccati	PROPN
ejpam-5013	27	4	equation	equation	NOUN
ejpam-5013	27	5	holds	hold	VERB
ejpam-5013	27	6	significance	significance	NOUN
ejpam-5013	27	7	in	in	ADP
ejpam-5013	27	8	numerous	numerous	ADJ
ejpam-5013	27	9	physics	physics	NOUN
ejpam-5013	27	10	and	and	CCONJ
ejpam-5013	27	11	engineering	engineering	NOUN
ejpam-5013	27	12	contexts	context	NOUN
ejpam-5013	27	13	[	[	X
ejpam-5013	27	14	36],[33],[43],[40],[8],[11],[23],[35],[45	36],[33],[43],[40],[8],[11],[23],[35],[45	NUM
ejpam-5013	27	15	]	]	PUNCT
ejpam-5013	27	16	.	.	PUNCT
ejpam-5013	28	1	many	many	ADJ
ejpam-5013	28	2	investigators	investigator	NOUN
ejpam-5013	28	3	have	have	AUX
ejpam-5013	28	4	examined	examine	VERB
ejpam-5013	28	5	the	the	DET
ejpam-5013	28	6	numerical	numerical	ADJ
ejpam-5013	28	7	solution	solution	NOUN
ejpam-5013	28	8	of	of	ADP
ejpam-5013	28	9	this	this	DET
ejpam-5013	28	10	problem	problem	NOUN
ejpam-5013	29	1	[	[	X
ejpam-5013	29	2	24],[22],[21],[30],[42],[5],[7].more	24],[22],[21],[30],[42],[5],[7].more	NUM
ejpam-5013	29	3	convenientreferences	convenientreference	NOUN
ejpam-5013	29	4	for	for	ADP
ejpam-5013	29	5	this	this	DET
ejpam-5013	29	6	equation	equation	NOUN
ejpam-5013	29	7	can	can	AUX
ejpam-5013	29	8	be	be	AUX
ejpam-5013	29	9	found	find	VERB
ejpam-5013	29	10	in	in	ADP
ejpam-5013	29	11	[	[	X
ejpam-5013	29	12	18],[37],[1],[30],[38],[27	18],[37],[1],[30],[38],[27	NUM
ejpam-5013	29	13	]	]	X
ejpam-5013	29	14	.	.	PUNCT
ejpam-5013	30	1	this	this	DET
ejpam-5013	30	2	article	article	NOUN
ejpam-5013	30	3	is	be	AUX
ejpam-5013	30	4	organized	organize	VERB
ejpam-5013	30	5	as	as	SCONJ
ejpam-5013	30	6	follows	follow	VERB
ejpam-5013	30	7	:	:	PUNCT
ejpam-5013	30	8	section	section	NOUN
ejpam-5013	30	9	2	2	NUM
ejpam-5013	30	10	reviews	review	VERB
ejpam-5013	30	11	some	some	DET
ejpam-5013	30	12	concepts	concept	NOUN
ejpam-5013	30	13	and	and	CCONJ
ejpam-5013	30	14	properties	property	NOUN
ejpam-5013	30	15	of	of	ADP
ejpam-5013	30	16	the	the	DET
ejpam-5013	30	17	caputo	caputo	PROPN
ejpam-5013	30	18	-	-	PUNCT
ejpam-5013	30	19	fabrizio	fabrizio	PROPN
ejpam-5013	30	20	fractional	fractional	PROPN
ejpam-5013	30	21	derivative	derivative	NOUN
ejpam-5013	30	22	along	along	ADP
ejpam-5013	30	23	with	with	ADP
ejpam-5013	30	24	its	its	PRON
ejpam-5013	30	25	corresponding	correspond	VERB
ejpam-5013	30	26	integral	integral	NOUN
ejpam-5013	30	27	.	.	PUNCT
ejpam-5013	31	1	an	an	DET
ejpam-5013	31	2	analytical	analytical	ADJ
ejpam-5013	31	3	solution	solution	NOUN
ejpam-5013	31	4	of	of	ADP
ejpam-5013	31	5	any	any	DET
ejpam-5013	31	6	nonhomogeneous	nonhomogeneous	ADJ
ejpam-5013	31	7	fractional	fractional	ADJ
ejpam-5013	31	8	differential	differential	NOUN
ejpam-5013	31	9	equation	equation	NOUN
ejpam-5013	31	10	is	be	AUX
ejpam-5013	31	11	presented	present	VERB
ejpam-5013	31	12	.	.	PUNCT
ejpam-5013	32	1	in	in	ADP
ejpam-5013	32	2	detail	detail	NOUN
ejpam-5013	32	3	,	,	PUNCT
ejpam-5013	32	4	solutions	solution	NOUN
ejpam-5013	32	5	of	of	ADP
ejpam-5013	32	6	the	the	DET
ejpam-5013	32	7	fractional	fractional	ADJ
ejpam-5013	32	8	riccati	riccati	PROPN
ejpam-5013	32	9	differential	differential	NOUN
ejpam-5013	32	10	equation	equation	NOUN
ejpam-5013	32	11	for	for	ADP
ejpam-5013	32	12	different	different	ADJ
ejpam-5013	32	13	cases	case	NOUN
ejpam-5013	32	14	by	by	ADP
ejpam-5013	32	15	using	use	VERB
ejpam-5013	32	16	the	the	DET
ejpam-5013	32	17	solution	solution	NOUN
ejpam-5013	32	18	of	of	ADP
ejpam-5013	32	19	the	the	DET
ejpam-5013	32	20	caputo	caputo	PROPN
ejpam-5013	32	21	-	-	PUNCT
ejpam-5013	32	22	fabrizio	fabrizio	PROPN
ejpam-5013	32	23	fractional	fractional	ADJ
ejpam-5013	32	24	nonhomogeneous	nonhomogeneous	ADJ
ejpam-5013	32	25	differential	differential	NOUN
ejpam-5013	32	26	equation	equation	NOUN
ejpam-5013	32	27	are	be	AUX
ejpam-5013	32	28	presented	present	VERB
ejpam-5013	32	29	in	in	ADP
ejpam-5013	32	30	the	the	DET
ejpam-5013	32	31	third	third	ADJ
ejpam-5013	32	32	section	section	NOUN
ejpam-5013	32	33	.	.	PUNCT
ejpam-5013	33	1	section	section	NOUN
ejpam-5013	33	2	4	4	NUM
ejpam-5013	33	3	is	be	AUX
ejpam-5013	33	4	dedicated	dedicate	VERB
ejpam-5013	33	5	to	to	ADP
ejpam-5013	33	6	conducting	conduct	VERB
ejpam-5013	33	7	various	various	ADJ
ejpam-5013	33	8	numerical	numerical	ADJ
ejpam-5013	33	9	problems	problem	NOUN
ejpam-5013	33	10	.	.	PUNCT
ejpam-5013	34	1	2	2	X
ejpam-5013	34	2	.	.	X
ejpam-5013	34	3	preliminaries	preliminary	NOUN
ejpam-5013	34	4	in	in	ADP
ejpam-5013	34	5	this	this	DET
ejpam-5013	34	6	section	section	NOUN
ejpam-5013	34	7	,	,	PUNCT
ejpam-5013	34	8	we	we	PRON
ejpam-5013	34	9	introduce	introduce	VERB
ejpam-5013	34	10	some	some	DET
ejpam-5013	34	11	basic	basic	ADJ
ejpam-5013	34	12	definitions	definition	NOUN
ejpam-5013	34	13	and	and	CCONJ
ejpam-5013	34	14	theorems	theorem	NOUN
ejpam-5013	34	15	related	relate	VERB
ejpam-5013	34	16	to	to	AUX
ejpam-5013	34	17	caputofabrizio	caputofabrizio	VERB
ejpam-5013	34	18	fractional	fractional	ADJ
ejpam-5013	34	19	derivative	derivative	ADJ
ejpam-5013	34	20	and	and	CCONJ
ejpam-5013	34	21	integral	integral	ADJ
ejpam-5013	34	22	.	.	PUNCT
ejpam-5013	35	1	definition	definition	NOUN
ejpam-5013	35	2	1	1	NUM
ejpam-5013	35	3	.	.	PUNCT
ejpam-5013	36	1	[	[	X
ejpam-5013	36	2	14	14	NUM
ejpam-5013	36	3	]	]	PUNCT
ejpam-5013	36	4	the	the	DET
ejpam-5013	36	5	caputo	caputo	PROPN
ejpam-5013	36	6	-	-	PUNCT
ejpam-5013	36	7	fabrizio	fabrizio	PROPN
ejpam-5013	36	8	fractional	fractional	ADJ
ejpam-5013	36	9	derivative	derivative	NOUN
ejpam-5013	36	10	for	for	ADP
ejpam-5013	36	11	a	a	DET
ejpam-5013	36	12	smooth	smooth	ADJ
ejpam-5013	36	13	function	function	NOUN
ejpam-5013	36	14	f	f	NOUN
ejpam-5013	36	15	:	:	PUNCT
ejpam-5013	37	1	[	[	X
ejpam-5013	37	2	a,∞	a,∞	PROPN
ejpam-5013	37	3	)	)	PUNCT
ejpam-5013	37	4	→	→	SYM
ejpam-5013	37	5	r	r	NOUN
ejpam-5013	37	6	is	be	AUX
ejpam-5013	37	7	defined	define	VERB
ejpam-5013	37	8	by	by	ADP
ejpam-5013	37	9	dαf(t	dαf(t	NOUN
ejpam-5013	37	10	)	)	PUNCT
ejpam-5013	37	11	=	=	SYM
ejpam-5013	38	1	1	1	NUM
ejpam-5013	38	2	1−	1−	NUM
ejpam-5013	38	3	α	α	NUM
ejpam-5013	38	4	∫	∫	PROPN
ejpam-5013	38	5	t	t	PROPN
ejpam-5013	38	6	a	a	DET
ejpam-5013	38	7	e	e	PROPN
ejpam-5013	38	8	(	(	PUNCT
ejpam-5013	38	9	−α	−α	PROPN
ejpam-5013	38	10	1−	1−	NUM
ejpam-5013	38	11	α	α	NOUN
ejpam-5013	38	12	(	(	PUNCT
ejpam-5013	38	13	t−s	t−	NOUN
ejpam-5013	38	14	)	)	PUNCT
ejpam-5013	38	15	)	)	PUNCT
ejpam-5013	38	16	f	f	PROPN
ejpam-5013	38	17	′(s)ds	′(s)ds	PROPN
ejpam-5013	38	18	,	,	PUNCT
ejpam-5013	38	19	(	(	PUNCT
ejpam-5013	38	20	1	1	X
ejpam-5013	38	21	)	)	PUNCT
ejpam-5013	38	22	were	be	AUX
ejpam-5013	38	23	a	a	DET
ejpam-5013	38	24	,	,	PUNCT
ejpam-5013	38	25	α	α	PROPN
ejpam-5013	38	26	∈	∈	PROPN
ejpam-5013	38	27	r	r	NOUN
ejpam-5013	38	28	and	and	CCONJ
ejpam-5013	38	29	α	α	NOUN
ejpam-5013	38	30	∈	∈	PROPN
ejpam-5013	38	31	(	(	PUNCT
ejpam-5013	38	32	0	0	NUM
ejpam-5013	38	33	,	,	PUNCT
ejpam-5013	38	34	1	1	NUM
ejpam-5013	38	35	)	)	PUNCT
ejpam-5013	38	36	.	.	PUNCT
ejpam-5013	39	1	definition	definition	NOUN
ejpam-5013	39	2	2	2	NUM
ejpam-5013	39	3	.	.	PUNCT
ejpam-5013	40	1	[	[	X
ejpam-5013	40	2	14	14	NUM
ejpam-5013	40	3	]	]	PUNCT
ejpam-5013	40	4	the	the	DET
ejpam-5013	40	5	caputo	caputo	PROPN
ejpam-5013	40	6	-	-	PUNCT
ejpam-5013	40	7	fabrizio	fabrizio	PROPN
ejpam-5013	40	8	fractional	fractional	NOUN
ejpam-5013	40	9	integral	integral	ADJ
ejpam-5013	40	10	for	for	ADP
ejpam-5013	40	11	a	a	DET
ejpam-5013	40	12	smooth	smooth	ADJ
ejpam-5013	40	13	function	function	NOUN
ejpam-5013	40	14	f	f	NOUN
ejpam-5013	40	15	:	:	PUNCT
ejpam-5013	41	1	[	[	X
ejpam-5013	41	2	a,∞	a,∞	PROPN
ejpam-5013	41	3	)	)	PUNCT
ejpam-5013	41	4	→	→	SYM
ejpam-5013	41	5	r	r	NOUN
ejpam-5013	41	6	is	be	AUX
ejpam-5013	41	7	defined	define	VERB
ejpam-5013	41	8	by	by	ADP
ejpam-5013	41	9	iαf(t	iαf(t	NOUN
ejpam-5013	41	10	)	)	PUNCT
ejpam-5013	41	11	=	=	SYM
ejpam-5013	41	12	(	(	PUNCT
ejpam-5013	41	13	1−	1−	NUM
ejpam-5013	41	14	α)(f(t)−	α)(f(t)−	NUM
ejpam-5013	41	15	f(a	f(a	NOUN
ejpam-5013	41	16	)	)	PUNCT
ejpam-5013	41	17	)	)	PUNCT
ejpam-5013	42	1	+	+	CCONJ
ejpam-5013	42	2	α	α	PRON
ejpam-5013	42	3	∫	∫	PROPN
ejpam-5013	42	4	t	t	PROPN
ejpam-5013	42	5	a	a	DET
ejpam-5013	42	6	f(s)ds	f(s)ds	PROPN
ejpam-5013	42	7	,	,	PUNCT
ejpam-5013	42	8	(	(	PUNCT
ejpam-5013	42	9	2	2	X
ejpam-5013	42	10	)	)	PUNCT
ejpam-5013	42	11	were	be	AUX
ejpam-5013	42	12	a	a	DET
ejpam-5013	42	13	,	,	PUNCT
ejpam-5013	42	14	α	α	PROPN
ejpam-5013	42	15	∈	∈	PROPN
ejpam-5013	42	16	r	r	NOUN
ejpam-5013	42	17	and	and	CCONJ
ejpam-5013	42	18	α	α	NOUN
ejpam-5013	42	19	∈	∈	PROPN
ejpam-5013	42	20	(	(	PUNCT
ejpam-5013	42	21	0	0	NUM
ejpam-5013	42	22	,	,	PUNCT
ejpam-5013	42	23	1	1	NUM
ejpam-5013	42	24	)	)	PUNCT
ejpam-5013	42	25	.	.	PUNCT
ejpam-5013	43	1	theorem	theorem	NOUN
ejpam-5013	43	2	1	1	NUM
ejpam-5013	43	3	.	.	PUNCT
ejpam-5013	44	1	[	[	X
ejpam-5013	44	2	28	28	NUM
ejpam-5013	44	3	]	]	X
ejpam-5013	44	4	let	let	VERB
ejpam-5013	44	5	a	a	DET
ejpam-5013	44	6	,	,	PUNCT
ejpam-5013	44	7	α	α	PROPN
ejpam-5013	44	8	∈	∈	NOUN
ejpam-5013	44	9	r	r	NOUN
ejpam-5013	44	10	with	with	ADP
ejpam-5013	44	11	α	α	PRON
ejpam-5013	44	12	∈	∈	PROPN
ejpam-5013	44	13	(	(	PUNCT
ejpam-5013	44	14	0	0	NUM
ejpam-5013	44	15	,	,	PUNCT
ejpam-5013	44	16	1).then	1).then	NUM
ejpam-5013	44	17	we	we	PRON
ejpam-5013	44	18	have	have	VERB
ejpam-5013	44	19	(	(	PUNCT
ejpam-5013	44	20	dαiαf(t	dαiαf(t	NOUN
ejpam-5013	44	21	)	)	PUNCT
ejpam-5013	44	22	)	)	PUNCT
ejpam-5013	45	1	=	=	PUNCT
ejpam-5013	45	2	f(t)−	f(t)−	PROPN
ejpam-5013	45	3	e	e	X
ejpam-5013	45	4	(	(	PUNCT
ejpam-5013	45	5	−α	−α	PROPN
ejpam-5013	45	6	1−	1−	NUM
ejpam-5013	45	7	α	α	NOUN
ejpam-5013	45	8	(	(	PUNCT
ejpam-5013	45	9	t−a	t−a	PROPN
ejpam-5013	45	10	)	)	PUNCT
ejpam-5013	45	11	)	)	PUNCT
ejpam-5013	45	12	f(a	f(a	NOUN
ejpam-5013	45	13	)	)	PUNCT
ejpam-5013	45	14	,	,	PUNCT
ejpam-5013	45	15	(	(	PUNCT
ejpam-5013	45	16	3	3	X
ejpam-5013	45	17	)	)	PUNCT
ejpam-5013	45	18	e.	e.	PROPN
ejpam-5013	45	19	abuteen	abuteen	PROPN
ejpam-5013	45	20	/	/	SYM
ejpam-5013	45	21	eur	eur	PROPN
ejpam-5013	45	22	.	.	PUNCT
ejpam-5013	46	1	j.	j.	PROPN
ejpam-5013	46	2	pure	pure	PROPN
ejpam-5013	46	3	appl	appl	PROPN
ejpam-5013	46	4	.	.	PROPN
ejpam-5013	46	5	math	math	PROPN
ejpam-5013	46	6	,	,	PUNCT
ejpam-5013	46	7	17	17	NUM
ejpam-5013	46	8	(	(	PUNCT
ejpam-5013	46	9	1	1	NUM
ejpam-5013	46	10	)	)	PUNCT
ejpam-5013	46	11	(	(	PUNCT
ejpam-5013	46	12	2024	2024	NUM
ejpam-5013	46	13	)	)	PUNCT
ejpam-5013	46	14	,	,	PUNCT
ejpam-5013	46	15	372	372	NUM
ejpam-5013	46	16	-	-	SYM
ejpam-5013	46	17	384	384	NUM
ejpam-5013	46	18	374	374	NUM
ejpam-5013	46	19	theorem	theorem	NOUN
ejpam-5013	46	20	2	2	NUM
ejpam-5013	46	21	.	.	PUNCT
ejpam-5013	47	1	[	[	X
ejpam-5013	47	2	28	28	NUM
ejpam-5013	47	3	]	]	X
ejpam-5013	47	4	let	let	VERB
ejpam-5013	47	5	a	a	DET
ejpam-5013	47	6	,	,	PUNCT
ejpam-5013	47	7	α	α	PROPN
ejpam-5013	47	8	∈	∈	NOUN
ejpam-5013	47	9	r	r	NOUN
ejpam-5013	47	10	with	with	ADP
ejpam-5013	47	11	α	α	PRON
ejpam-5013	47	12	∈	∈	PROPN
ejpam-5013	47	13	(	(	PUNCT
ejpam-5013	47	14	0	0	NUM
ejpam-5013	47	15	,	,	PUNCT
ejpam-5013	47	16	1	1	NUM
ejpam-5013	47	17	)	)	PUNCT
ejpam-5013	47	18	.	.	PUNCT
ejpam-5013	48	1	for	for	ADP
ejpam-5013	48	2	a	a	DET
ejpam-5013	48	3	smooth	smooth	ADJ
ejpam-5013	48	4	function	function	NOUN
ejpam-5013	48	5	,	,	PUNCT
ejpam-5013	48	6	f	f	X
ejpam-5013	48	7	:	:	PUNCT
ejpam-5013	49	1	[	[	X
ejpam-5013	49	2	a,∞	a,∞	PROPN
ejpam-5013	49	3	)	)	PUNCT
ejpam-5013	49	4	→	→	SYM
ejpam-5013	49	5	r	r	X
ejpam-5013	49	6	the	the	DET
ejpam-5013	49	7	equality	equality	NOUN
ejpam-5013	49	8	(	(	PUNCT
ejpam-5013	49	9	dαf(t))′	dαf(t))′	PROPN
ejpam-5013	49	10	=	=	SYM
ejpam-5013	49	11	1	1	NUM
ejpam-5013	49	12	1−	1−	NUM
ejpam-5013	50	1	α	α	NOUN
ejpam-5013	50	2	f	f	PROPN
ejpam-5013	51	1	′(t)−	′(t)−	PROPN
ejpam-5013	51	2	α	α	PROPN
ejpam-5013	51	3	1−	1−	NUM
ejpam-5013	51	4	α	α	PROPN
ejpam-5013	51	5	dαf(t	dαf(t	PROPN
ejpam-5013	51	6	)	)	PUNCT
ejpam-5013	51	7	(	(	PUNCT
ejpam-5013	51	8	4	4	X
ejpam-5013	51	9	)	)	PUNCT
ejpam-5013	51	10	corollary	corollary	ADJ
ejpam-5013	51	11	1	1	NUM
ejpam-5013	51	12	.	.	PUNCT
ejpam-5013	52	1	let	let	VERB
ejpam-5013	52	2	a	a	DET
ejpam-5013	52	3	,	,	PUNCT
ejpam-5013	52	4	α	α	PROPN
ejpam-5013	52	5	∈	∈	NOUN
ejpam-5013	52	6	r	r	NOUN
ejpam-5013	52	7	with	with	ADP
ejpam-5013	52	8	α	α	PRON
ejpam-5013	52	9	∈	∈	PROPN
ejpam-5013	52	10	(	(	PUNCT
ejpam-5013	52	11	0	0	NUM
ejpam-5013	52	12	,	,	PUNCT
ejpam-5013	52	13	1).for	1).for	NOUN
ejpam-5013	52	14	a	a	DET
ejpam-5013	52	15	smooth	smooth	ADJ
ejpam-5013	52	16	function	function	NOUN
ejpam-5013	53	1	f	f	NOUN
ejpam-5013	53	2	:	:	PUNCT
ejpam-5013	54	1	[	[	X
ejpam-5013	54	2	a,∞	a,∞	PROPN
ejpam-5013	54	3	)	)	PUNCT
ejpam-5013	54	4	→	→	SYM
ejpam-5013	54	5	r	r	NOUN
ejpam-5013	54	6	we	we	PRON
ejpam-5013	54	7	have∫	have∫	AUX
ejpam-5013	54	8	t	t	VERB
ejpam-5013	54	9	a	a	DET
ejpam-5013	54	10	dαf(s)ds	dαf(s)ds	NOUN
ejpam-5013	54	11	=	=	SYM
ejpam-5013	54	12	1	1	NUM
ejpam-5013	54	13	α	α	NOUN
ejpam-5013	54	14	(	(	PUNCT
ejpam-5013	54	15	f(t)−	f(t)−	PROPN
ejpam-5013	54	16	f(a))−	f(a))−	VERB
ejpam-5013	54	17	1−	1−	NUM
ejpam-5013	54	18	α	α	NOUN
ejpam-5013	54	19	α	α	NOUN
ejpam-5013	54	20	dαf(t	dαf(t	PROPN
ejpam-5013	54	21	)	)	PUNCT
ejpam-5013	54	22	(	(	PUNCT
ejpam-5013	54	23	5	5	X
ejpam-5013	54	24	)	)	PUNCT
ejpam-5013	54	25	proof	proof	NOUN
ejpam-5013	54	26	.	.	PUNCT
ejpam-5013	54	27	integrate	integrate	VERB
ejpam-5013	54	28	both	both	DET
ejpam-5013	54	29	sides	side	NOUN
ejpam-5013	54	30	of	of	ADP
ejpam-5013	54	31	the	the	DET
ejpam-5013	54	32	equation	equation	NOUN
ejpam-5013	54	33	(	(	PUNCT
ejpam-5013	54	34	4	4	NUM
ejpam-5013	54	35	)	)	PUNCT
ejpam-5013	54	36	in	in	ADP
ejpam-5013	54	37	theorem	theorem	NOUN
ejpam-5013	54	38	2	2	NUM
ejpam-5013	54	39	,	,	PUNCT
ejpam-5013	54	40	we	we	PRON
ejpam-5013	54	41	get	get	VERB
ejpam-5013	54	42	dαf(t	dαf(t	NOUN
ejpam-5013	54	43	)	)	PUNCT
ejpam-5013	54	44	=	=	SYM
ejpam-5013	54	45	1	1	NUM
ejpam-5013	54	46	1−	1−	NUM
ejpam-5013	54	47	α	α	NOUN
ejpam-5013	54	48	(	(	PUNCT
ejpam-5013	54	49	f(t)−	f(t)−	PROPN
ejpam-5013	54	50	f(a))−	f(a))−	VERB
ejpam-5013	54	51	α	α	NOUN
ejpam-5013	54	52	1−	1−	NUM
ejpam-5013	55	1	α	α	NUM
ejpam-5013	55	2	∫	∫	PROPN
ejpam-5013	55	3	t	t	PROPN
ejpam-5013	55	4	a	a	DET
ejpam-5013	55	5	dαf(s)ds	dαf(s)ds	PROPN
ejpam-5013	55	6	therefore	therefore	ADV
ejpam-5013	55	7	,	,	PUNCT
ejpam-5013	55	8	we	we	PRON
ejpam-5013	55	9	have	have	VERB
ejpam-5013	55	10	∫	∫	PROPN
ejpam-5013	55	11	t	t	PROPN
ejpam-5013	55	12	a	a	DET
ejpam-5013	55	13	dαf(s)ds	dαf(s)ds	NOUN
ejpam-5013	55	14	=	=	SYM
ejpam-5013	55	15	1	1	NUM
ejpam-5013	55	16	α	α	NOUN
ejpam-5013	55	17	(	(	PUNCT
ejpam-5013	55	18	f(t)−	f(t)−	PROPN
ejpam-5013	55	19	f(a))−	f(a))−	VERB
ejpam-5013	55	20	1−	1−	NUM
ejpam-5013	55	21	α	α	NOUN
ejpam-5013	55	22	α	α	NOUN
ejpam-5013	55	23	dαf(t	dαf(t	PROPN
ejpam-5013	55	24	)	)	PUNCT
ejpam-5013	55	25	.	.	PUNCT
ejpam-5013	56	1	theorem	theorem	NOUN
ejpam-5013	56	2	3	3	NUM
ejpam-5013	56	3	.	.	PUNCT
ejpam-5013	57	1	[	[	X
ejpam-5013	57	2	32	32	NUM
ejpam-5013	57	3	]	]	PUNCT
ejpam-5013	57	4	let	let	VERB
ejpam-5013	57	5	a	a	DET
ejpam-5013	57	6	,	,	PUNCT
ejpam-5013	57	7	α	α	PROPN
ejpam-5013	57	8	∈	∈	NOUN
ejpam-5013	57	9	r	r	NOUN
ejpam-5013	57	10	with	with	ADP
ejpam-5013	57	11	α	α	PRON
ejpam-5013	57	12	∈	∈	PROPN
ejpam-5013	57	13	(	(	PUNCT
ejpam-5013	57	14	0	0	NUM
ejpam-5013	57	15	,	,	PUNCT
ejpam-5013	57	16	1).then	1).then	NUM
ejpam-5013	57	17	we	we	PRON
ejpam-5013	57	18	have	have	VERB
ejpam-5013	57	19	iα(dαf(t	iα(dαf(t	NOUN
ejpam-5013	57	20	)	)	PUNCT
ejpam-5013	57	21	)	)	PUNCT
ejpam-5013	58	1	=	=	SYM
ejpam-5013	58	2	f(t)−	f(t)−	PROPN
ejpam-5013	58	3	f(a	f(a	PROPN
ejpam-5013	58	4	)	)	PUNCT
ejpam-5013	58	5	,	,	PUNCT
ejpam-5013	58	6	(	(	PUNCT
ejpam-5013	58	7	6	6	X
ejpam-5013	58	8	)	)	PUNCT
ejpam-5013	58	9	proof	proof	NOUN
ejpam-5013	58	10	.	.	PUNCT
ejpam-5013	59	1	using	use	VERB
ejpam-5013	59	2	the	the	DET
ejpam-5013	59	3	definition	definition	NOUN
ejpam-5013	59	4	of	of	ADP
ejpam-5013	59	5	cf	cf	NOUN
ejpam-5013	59	6	integral	integral	ADJ
ejpam-5013	59	7	,	,	PUNCT
ejpam-5013	59	8	we	we	PRON
ejpam-5013	59	9	have	have	VERB
ejpam-5013	59	10	iα(dαf(t	iα(dαf(t	NOUN
ejpam-5013	59	11	)	)	PUNCT
ejpam-5013	59	12	)	)	PUNCT
ejpam-5013	60	1	=	=	PUNCT
ejpam-5013	60	2	(	(	PUNCT
ejpam-5013	60	3	1−	1−	NUM
ejpam-5013	60	4	α)dαf(t	α)dαf(t	NUM
ejpam-5013	60	5	)	)	PUNCT
ejpam-5013	61	1	+	+	CCONJ
ejpam-5013	61	2	α	α	PROPN
ejpam-5013	61	3	∫	∫	PROPN
ejpam-5013	61	4	t	t	PROPN
ejpam-5013	61	5	a	a	DET
ejpam-5013	61	6	dαf(s)ds	dαf(s)ds	NOUN
ejpam-5013	61	7	applying	apply	VERB
ejpam-5013	61	8	equation	equation	NOUN
ejpam-5013	61	9	(	(	PUNCT
ejpam-5013	61	10	5	5	NUM
ejpam-5013	61	11	)	)	PUNCT
ejpam-5013	61	12	,	,	PUNCT
ejpam-5013	61	13	we	we	PRON
ejpam-5013	61	14	get	get	VERB
ejpam-5013	61	15	iα(dαf(t	iα(dαf(t	NOUN
ejpam-5013	61	16	)	)	PUNCT
ejpam-5013	61	17	)	)	PUNCT
ejpam-5013	62	1	=	=	PUNCT
ejpam-5013	62	2	(	(	PUNCT
ejpam-5013	62	3	1−	1−	NUM
ejpam-5013	62	4	α)dαf(t	α)dαf(t	NUM
ejpam-5013	62	5	)	)	PUNCT
ejpam-5013	63	1	+	+	CCONJ
ejpam-5013	63	2	α	α	PROPN
ejpam-5013	63	3	(	(	PUNCT
ejpam-5013	63	4	1	1	NUM
ejpam-5013	63	5	α	α	NOUN
ejpam-5013	63	6	(	(	PUNCT
ejpam-5013	63	7	f(t)−	f(t)−	PROPN
ejpam-5013	63	8	f(a))−	f(a))−	VERB
ejpam-5013	63	9	1−	1−	NUM
ejpam-5013	63	10	α	α	NOUN
ejpam-5013	63	11	α	α	NOUN
ejpam-5013	63	12	dαf(t	dαf(t	PROPN
ejpam-5013	63	13	)	)	PUNCT
ejpam-5013	63	14	)	)	PUNCT
ejpam-5013	64	1	=	=	PUNCT
ejpam-5013	64	2	f(t)−	f(t)−	PROPN
ejpam-5013	64	3	f(a	f(a	PROPN
ejpam-5013	64	4	)	)	PUNCT
ejpam-5013	64	5	.	.	PUNCT
ejpam-5013	65	1	now	now	ADV
ejpam-5013	65	2	we	we	PRON
ejpam-5013	65	3	apply	apply	VERB
ejpam-5013	65	4	the	the	DET
ejpam-5013	65	5	definitions	definition	NOUN
ejpam-5013	65	6	and	and	CCONJ
ejpam-5013	65	7	properties	property	NOUN
ejpam-5013	65	8	of	of	ADP
ejpam-5013	65	9	caputo	caputo	PROPN
ejpam-5013	65	10	-	-	PUNCT
ejpam-5013	65	11	fabrizio	fabrizio	PROPN
ejpam-5013	65	12	fractional	fractional	ADJ
ejpam-5013	65	13	derivative	derivative	NOUN
ejpam-5013	65	14	and	and	CCONJ
ejpam-5013	65	15	integral	integral	ADJ
ejpam-5013	65	16	on	on	ADP
ejpam-5013	65	17	the	the	DET
ejpam-5013	65	18	nonhomogeneous	nonhomogeneous	ADJ
ejpam-5013	65	19	fractional	fractional	ADJ
ejpam-5013	65	20	differential	differential	NOUN
ejpam-5013	65	21	equation	equation	NOUN
ejpam-5013	65	22	dαf(t	dαf(t	PRON
ejpam-5013	65	23	)	)	PUNCT
ejpam-5013	65	24	=	=	SYM
ejpam-5013	65	25	g(t	g(t	PROPN
ejpam-5013	65	26	)	)	PUNCT
ejpam-5013	65	27	(	(	PUNCT
ejpam-5013	65	28	7	7	X
ejpam-5013	65	29	)	)	PUNCT
ejpam-5013	65	30	derive	derive	VERB
ejpam-5013	65	31	both	both	DET
ejpam-5013	65	32	sides	side	NOUN
ejpam-5013	65	33	and	and	CCONJ
ejpam-5013	65	34	use	use	VERB
ejpam-5013	65	35	theorem2	theorem2	NOUN
ejpam-5013	65	36	,	,	PUNCT
ejpam-5013	65	37	we	we	PRON
ejpam-5013	65	38	get	get	VERB
ejpam-5013	65	39	−α	−α	NOUN
ejpam-5013	65	40	1−	1−	NUM
ejpam-5013	65	41	α	α	PROPN
ejpam-5013	65	42	dαf(t	dαf(t	PROPN
ejpam-5013	65	43	)	)	PUNCT
ejpam-5013	66	1	+	+	CCONJ
ejpam-5013	66	2	1	1	NUM
ejpam-5013	66	3	1−	1−	NUM
ejpam-5013	66	4	α	α	NOUN
ejpam-5013	66	5	f	f	NOUN
ejpam-5013	66	6	′(t	′(t	PROPN
ejpam-5013	66	7	)	)	PUNCT
ejpam-5013	67	1	=	=	SYM
ejpam-5013	67	2	g′(t	g′(t	PROPN
ejpam-5013	67	3	)	)	PUNCT
ejpam-5013	67	4	(	(	PUNCT
ejpam-5013	67	5	8)	8)	NUM
ejpam-5013	67	6	integrate	integrate	VERB
ejpam-5013	67	7	equation	equation	NOUN
ejpam-5013	67	8	(	(	PUNCT
ejpam-5013	67	9	8)	8)	NUM
ejpam-5013	67	10	and	and	CCONJ
ejpam-5013	67	11	use	use	VERB
ejpam-5013	67	12	the	the	DET
ejpam-5013	67	13	previous	previous	ADJ
ejpam-5013	67	14	properties	property	NOUN
ejpam-5013	67	15	of	of	ADP
ejpam-5013	67	16	caputo	caputo	PROPN
ejpam-5013	67	17	-	-	PUNCT
ejpam-5013	67	18	fabrizio	fabrizio	PROPN
ejpam-5013	67	19	fractional	fractional	ADJ
ejpam-5013	67	20	derivative	derivative	NOUN
ejpam-5013	67	21	.	.	PUNCT
ejpam-5013	68	1	the	the	DET
ejpam-5013	68	2	solution	solution	NOUN
ejpam-5013	68	3	of	of	ADP
ejpam-5013	68	4	the	the	DET
ejpam-5013	68	5	nonhomogeneous	nonhomogeneous	ADJ
ejpam-5013	68	6	fractional	fractional	ADJ
ejpam-5013	68	7	differential	differential	ADJ
ejpam-5013	68	8	equation	equation	NOUN
ejpam-5013	68	9	(	(	PUNCT
ejpam-5013	68	10	7	7	X
ejpam-5013	68	11	)	)	PUNCT
ejpam-5013	68	12	is	be	AUX
ejpam-5013	68	13	f(t	f(t	NOUN
ejpam-5013	68	14	)	)	PUNCT
ejpam-5013	68	15	=	=	SYM
ejpam-5013	68	16	(	(	PUNCT
ejpam-5013	68	17	1−	1−	NUM
ejpam-5013	68	18	α)(g(t)−	α)(g(t)−	PROPN
ejpam-5013	68	19	g(a	g(a	PROPN
ejpam-5013	68	20	)	)	PUNCT
ejpam-5013	68	21	)	)	PUNCT
ejpam-5013	69	1	+	+	CCONJ
ejpam-5013	69	2	α	α	PRON
ejpam-5013	69	3	∫	∫	PROPN
ejpam-5013	69	4	t	t	PROPN
ejpam-5013	69	5	a	a	DET
ejpam-5013	69	6	g(s)ds+	g(s)ds+	PROPN
ejpam-5013	69	7	f(a	f(a	PROPN
ejpam-5013	69	8	)	)	PUNCT
ejpam-5013	69	9	(	(	PUNCT
ejpam-5013	69	10	9	9	X
ejpam-5013	69	11	)	)	PUNCT
ejpam-5013	69	12	e.	e.	PROPN
ejpam-5013	69	13	abuteen	abuteen	PROPN
ejpam-5013	69	14	/	/	SYM
ejpam-5013	69	15	eur	eur	PROPN
ejpam-5013	69	16	.	.	PUNCT
ejpam-5013	70	1	j.	j.	PROPN
ejpam-5013	70	2	pure	pure	PROPN
ejpam-5013	70	3	appl	appl	PROPN
ejpam-5013	70	4	.	.	PROPN
ejpam-5013	70	5	math	math	PROPN
ejpam-5013	70	6	,	,	PUNCT
ejpam-5013	70	7	17	17	NUM
ejpam-5013	70	8	(	(	PUNCT
ejpam-5013	70	9	1	1	NUM
ejpam-5013	70	10	)	)	PUNCT
ejpam-5013	70	11	(	(	PUNCT
ejpam-5013	70	12	2024	2024	NUM
ejpam-5013	70	13	)	)	PUNCT
ejpam-5013	70	14	,	,	PUNCT
ejpam-5013	70	15	372	372	NUM
ejpam-5013	70	16	-	-	SYM
ejpam-5013	70	17	384	384	NUM
ejpam-5013	70	18	375	375	NUM
ejpam-5013	70	19	3	3	NUM
ejpam-5013	70	20	.	.	PUNCT
ejpam-5013	70	21	solution	solution	NOUN
ejpam-5013	70	22	of	of	ADP
ejpam-5013	70	23	fractional	fractional	ADJ
ejpam-5013	70	24	order	order	NOUN
ejpam-5013	70	25	riccati	riccati	PROPN
ejpam-5013	70	26	differential	differential	NOUN
ejpam-5013	70	27	equation	equation	NOUN
ejpam-5013	70	28	the	the	DET
ejpam-5013	70	29	typical	typical	ADJ
ejpam-5013	70	30	format	format	NOUN
ejpam-5013	70	31	for	for	ADP
ejpam-5013	70	32	the	the	DET
ejpam-5013	70	33	general	general	ADJ
ejpam-5013	70	34	form	form	NOUN
ejpam-5013	70	35	fractional	fractional	PROPN
ejpam-5013	70	36	riccati	riccati	PROPN
ejpam-5013	70	37	differential	differential	NOUN
ejpam-5013	70	38	equations	equation	NOUN
ejpam-5013	70	39	is	be	AUX
ejpam-5013	70	40	as	as	SCONJ
ejpam-5013	70	41	follows	follow	VERB
ejpam-5013	70	42	:	:	PUNCT
ejpam-5013	70	43	dαy(t	dαy(t	PROPN
ejpam-5013	70	44	)	)	PUNCT
ejpam-5013	70	45	=	=	SYM
ejpam-5013	70	46	ay2(t	ay2(t	PROPN
ejpam-5013	70	47	)	)	PUNCT
ejpam-5013	70	48	+	+	NOUN
ejpam-5013	70	49	by(t	by(t	NUM
ejpam-5013	70	50	)	)	PUNCT
ejpam-5013	71	1	+	+	CCONJ
ejpam-5013	72	1	c	c	X
ejpam-5013	72	2	,	,	PUNCT
ejpam-5013	72	3	0	0	PUNCT
ejpam-5013	72	4	<	<	X
ejpam-5013	72	5	α	α	PROPN
ejpam-5013	72	6	≤	≤	NUM
ejpam-5013	72	7	1	1	NUM
ejpam-5013	72	8	.	.	PUNCT
ejpam-5013	73	1	(	(	PUNCT
ejpam-5013	73	2	10	10	NUM
ejpam-5013	73	3	)	)	PUNCT
ejpam-5013	73	4	with	with	ADP
ejpam-5013	73	5	the	the	DET
ejpam-5013	73	6	initial	initial	ADJ
ejpam-5013	73	7	condition	condition	NOUN
ejpam-5013	73	8	,	,	PUNCT
ejpam-5013	73	9	y(0	y(0	PROPN
ejpam-5013	73	10	)	)	PUNCT
ejpam-5013	73	11	=	=	SYM
ejpam-5013	73	12	y0	y0	NOUN
ejpam-5013	73	13	.	.	PUNCT
ejpam-5013	74	1	using	use	VERB
ejpam-5013	74	2	equation	equation	NOUN
ejpam-5013	74	3	(	(	PUNCT
ejpam-5013	74	4	9	9	NUM
ejpam-5013	74	5	)	)	PUNCT
ejpam-5013	74	6	,	,	PUNCT
ejpam-5013	74	7	the	the	DET
ejpam-5013	74	8	solution	solution	NOUN
ejpam-5013	74	9	of	of	ADP
ejpam-5013	74	10	fractional	fractional	ADJ
ejpam-5013	74	11	riccati	riccati	PROPN
ejpam-5013	74	12	differential	differential	NOUN
ejpam-5013	74	13	equation	equation	NOUN
ejpam-5013	74	14	(	(	PUNCT
ejpam-5013	74	15	10	10	NUM
ejpam-5013	74	16	)	)	PUNCT
ejpam-5013	74	17	is	be	AUX
ejpam-5013	74	18	y(t)−y(0	y(t)−y(0	PROPN
ejpam-5013	74	19	)	)	PUNCT
ejpam-5013	74	20	=	=	PUNCT
ejpam-5013	74	21	(	(	PUNCT
ejpam-5013	74	22	1−α	1−α	NUM
ejpam-5013	74	23	)	)	PUNCT
ejpam-5013	74	24	(	(	PUNCT
ejpam-5013	74	25	(	(	PUNCT
ejpam-5013	74	26	ay2	ay2	INTJ
ejpam-5013	74	27	+	+	ADJ
ejpam-5013	74	28	by	by	ADP
ejpam-5013	74	29	+	+	X
ejpam-5013	74	30	c)−	c)−	PROPN
ejpam-5013	74	31	(	(	PUNCT
ejpam-5013	74	32	a(y(0))2	a(y(0))2	X
ejpam-5013	74	33	+	+	PROPN
ejpam-5013	74	34	by(0	by(0	PROPN
ejpam-5013	74	35	)	)	PUNCT
ejpam-5013	74	36	+	+	NUM
ejpam-5013	74	37	c	c	NOUN
ejpam-5013	74	38	)	)	PUNCT
ejpam-5013	74	39	)	)	PUNCT
ejpam-5013	75	1	+	+	ADV
ejpam-5013	75	2	α	α	NOUN
ejpam-5013	75	3	∫	∫	PROPN
ejpam-5013	75	4	t	t	PROPN
ejpam-5013	75	5	0	0	NUM
ejpam-5013	75	6	(	(	PUNCT
ejpam-5013	75	7	ay2(s)+by(s)+c)ds	ay2(s)+by(s)+c)ds	X
ejpam-5013	75	8	(	(	PUNCT
ejpam-5013	75	9	11	11	NUM
ejpam-5013	75	10	)	)	PUNCT
ejpam-5013	75	11	by	by	ADP
ejpam-5013	75	12	deriving	derive	VERB
ejpam-5013	75	13	both	both	DET
ejpam-5013	75	14	sides	side	NOUN
ejpam-5013	75	15	,	,	PUNCT
ejpam-5013	75	16	we	we	PRON
ejpam-5013	75	17	get	get	VERB
ejpam-5013	75	18	y′(t	y′(t	NOUN
ejpam-5013	75	19	)	)	PUNCT
ejpam-5013	75	20	=	=	PUNCT
ejpam-5013	76	1	(	(	PUNCT
ejpam-5013	76	2	1−	1−	NUM
ejpam-5013	76	3	α	α	NOUN
ejpam-5013	76	4	)	)	PUNCT
ejpam-5013	76	5	(	(	PUNCT
ejpam-5013	76	6	2ay(t)y′(t	2ay(t)y′(t	X
ejpam-5013	76	7	)	)	PUNCT
ejpam-5013	76	8	+	+	ADJ
ejpam-5013	76	9	by′(t	by′(t	NOUN
ejpam-5013	76	10	)	)	PUNCT
ejpam-5013	76	11	)	)	PUNCT
ejpam-5013	77	1	+	+	CCONJ
ejpam-5013	77	2	α(ay2(t	α(ay2(t	NOUN
ejpam-5013	77	3	)	)	PUNCT
ejpam-5013	77	4	+	+	NOUN
ejpam-5013	77	5	by(t	by(t	NUM
ejpam-5013	77	6	)	)	PUNCT
ejpam-5013	77	7	+	+	CCONJ
ejpam-5013	77	8	c	c	X
ejpam-5013	77	9	)	)	PUNCT
ejpam-5013	77	10	(	(	PUNCT
ejpam-5013	77	11	12	12	NUM
ejpam-5013	77	12	)	)	PUNCT
ejpam-5013	77	13	which	which	PRON
ejpam-5013	77	14	is	be	AUX
ejpam-5013	77	15	equivalent	equivalent	ADJ
ejpam-5013	77	16	to	to	ADP
ejpam-5013	77	17	y′(t	y′(t	PROPN
ejpam-5013	77	18	)	)	PUNCT
ejpam-5013	77	19	ay2(t	ay2(t	PROPN
ejpam-5013	77	20	)	)	PUNCT
ejpam-5013	77	21	+	+	NOUN
ejpam-5013	77	22	by(t	by(t	NUM
ejpam-5013	77	23	)	)	PUNCT
ejpam-5013	78	1	+	+	CCONJ
ejpam-5013	79	1	c	c	NOUN
ejpam-5013	79	2	−	−	PROPN
ejpam-5013	79	3	(	(	PUNCT
ejpam-5013	79	4	1−	1−	NUM
ejpam-5013	79	5	α	α	NOUN
ejpam-5013	79	6	)	)	PUNCT
ejpam-5013	79	7	(	(	PUNCT
ejpam-5013	79	8	2ay(t)y′(t	2ay(t)y′(t	X
ejpam-5013	79	9	)	)	PUNCT
ejpam-5013	79	10	+	+	ADJ
ejpam-5013	79	11	by′(t	by′(t	NOUN
ejpam-5013	79	12	)	)	PUNCT
ejpam-5013	79	13	)	)	PUNCT
ejpam-5013	80	1	ay2(t	ay2(t	PROPN
ejpam-5013	80	2	)	)	PUNCT
ejpam-5013	81	1	+	+	NOUN
ejpam-5013	81	2	by(t	by(t	NUM
ejpam-5013	81	3	)	)	PUNCT
ejpam-5013	82	1	+	+	PUNCT
ejpam-5013	82	2	c	c	X
ejpam-5013	82	3	=	=	SYM
ejpam-5013	82	4	α	α	PROPN
ejpam-5013	82	5	(	(	PUNCT
ejpam-5013	82	6	13	13	NUM
ejpam-5013	82	7	)	)	PUNCT
ejpam-5013	82	8	to	to	PART
ejpam-5013	82	9	find	find	VERB
ejpam-5013	82	10	a	a	DET
ejpam-5013	82	11	general	general	ADJ
ejpam-5013	82	12	solution	solution	NOUN
ejpam-5013	82	13	for	for	ADP
ejpam-5013	82	14	fractional	fractional	ADJ
ejpam-5013	82	15	order	order	NOUN
ejpam-5013	82	16	riccati	riccati	PROPN
ejpam-5013	82	17	differential	differential	NOUN
ejpam-5013	82	18	equation	equation	NOUN
ejpam-5013	82	19	,	,	PUNCT
ejpam-5013	82	20	we	we	PRON
ejpam-5013	82	21	analyze	analyze	VERB
ejpam-5013	82	22	the	the	DET
ejpam-5013	82	23	equation	equation	NOUN
ejpam-5013	82	24	ay2(t	ay2(t	PROPN
ejpam-5013	82	25	)	)	PUNCT
ejpam-5013	82	26	+	+	NOUN
ejpam-5013	82	27	by(t	by(t	NUM
ejpam-5013	82	28	)	)	PUNCT
ejpam-5013	83	1	+	+	CCONJ
ejpam-5013	83	2	c	c	X
ejpam-5013	83	3	,	,	PUNCT
ejpam-5013	83	4	under	under	ADP
ejpam-5013	83	5	3	3	NUM
ejpam-5013	83	6	distinct	distinct	ADJ
ejpam-5013	83	7	cases	case	NOUN
ejpam-5013	83	8	case	case	NOUN
ejpam-5013	83	9	1	1	NUM
ejpam-5013	83	10	:	:	PUNCT
ejpam-5013	83	11	assume	assume	VERB
ejpam-5013	83	12	that	that	SCONJ
ejpam-5013	83	13	the	the	DET
ejpam-5013	83	14	discriminant	discriminant	NOUN
ejpam-5013	83	15	△	△	X
ejpam-5013	83	16	=	=	SYM
ejpam-5013	83	17	b2	b2	NOUN
ejpam-5013	83	18	−	−	PROPN
ejpam-5013	83	19	4ac	4ac	NOUN
ejpam-5013	83	20	>	>	X
ejpam-5013	83	21	0	0	PUNCT
ejpam-5013	83	22	the	the	DET
ejpam-5013	83	23	fractional	fractional	PROPN
ejpam-5013	83	24	riccati	riccati	PROPN
ejpam-5013	83	25	differential	differential	NOUN
ejpam-5013	83	26	equations	equation	NOUN
ejpam-5013	83	27	can	can	AUX
ejpam-5013	83	28	be	be	AUX
ejpam-5013	83	29	reformulated	reformulate	VERB
ejpam-5013	83	30	as	as	ADP
ejpam-5013	83	31	dαy(t	dαy(t	PROPN
ejpam-5013	83	32	)	)	PUNCT
ejpam-5013	83	33	=	=	PUNCT
ejpam-5013	84	1	ay2	ay2	ADP
ejpam-5013	85	1	+	+	ADJ
ejpam-5013	85	2	by	by	ADV
ejpam-5013	85	3	+	+	NOUN
ejpam-5013	85	4	c	c	NOUN
ejpam-5013	85	5	=	=	SYM
ejpam-5013	85	6	(	(	PUNCT
ejpam-5013	85	7	a1y	a1y	NOUN
ejpam-5013	85	8	+	+	CCONJ
ejpam-5013	85	9	b1)(a2y	b1)(a2y	PROPN
ejpam-5013	85	10	+	+	NUM
ejpam-5013	85	11	b2	b2	NOUN
ejpam-5013	85	12	)	)	PUNCT
ejpam-5013	85	13	(	(	PUNCT
ejpam-5013	85	14	14	14	NUM
ejpam-5013	85	15	)	)	PUNCT
ejpam-5013	85	16	using	use	VERB
ejpam-5013	85	17	equation	equation	NOUN
ejpam-5013	85	18	(	(	PUNCT
ejpam-5013	85	19	13	13	NUM
ejpam-5013	85	20	)	)	PUNCT
ejpam-5013	85	21	,	,	PUNCT
ejpam-5013	85	22	we	we	PRON
ejpam-5013	85	23	have	have	VERB
ejpam-5013	85	24	y′(t	y′(t	NOUN
ejpam-5013	85	25	)	)	PUNCT
ejpam-5013	86	1	(	(	PUNCT
ejpam-5013	86	2	a1y	a1y	NOUN
ejpam-5013	86	3	+	+	CCONJ
ejpam-5013	86	4	b1)(a2y	b1)(a2y	PROPN
ejpam-5013	86	5	+	+	NUM
ejpam-5013	86	6	b2	b2	NOUN
ejpam-5013	86	7	)	)	PUNCT
ejpam-5013	86	8	−	−	PROPN
ejpam-5013	87	1	(	(	PUNCT
ejpam-5013	87	2	1−	1−	NUM
ejpam-5013	87	3	α	α	NOUN
ejpam-5013	87	4	)	)	PUNCT
ejpam-5013	87	5	(	(	PUNCT
ejpam-5013	87	6	2ay(t)y′(t	2ay(t)y′(t	X
ejpam-5013	87	7	)	)	PUNCT
ejpam-5013	87	8	+	+	ADJ
ejpam-5013	87	9	by′(t	by′(t	NOUN
ejpam-5013	87	10	)	)	PUNCT
ejpam-5013	87	11	)	)	PUNCT
ejpam-5013	87	12	ay2(t	ay2(t	PROPN
ejpam-5013	87	13	)	)	PUNCT
ejpam-5013	88	1	+	+	NOUN
ejpam-5013	88	2	by(t	by(t	NUM
ejpam-5013	88	3	)	)	PUNCT
ejpam-5013	89	1	+	+	PUNCT
ejpam-5013	89	2	c	c	X
ejpam-5013	89	3	=	=	SYM
ejpam-5013	89	4	α	α	PROPN
ejpam-5013	89	5	using	use	VERB
ejpam-5013	89	6	partial	partial	ADJ
ejpam-5013	89	7	fractions	fraction	NOUN
ejpam-5013	89	8	,	,	PUNCT
ejpam-5013	89	9	we	we	PRON
ejpam-5013	89	10	get	get	VERB
ejpam-5013	89	11	y′(t	y′(t	NOUN
ejpam-5013	89	12	)	)	PUNCT
ejpam-5013	89	13	(	(	PUNCT
ejpam-5013	89	14	a1	a1	NOUN
ejpam-5013	89	15	a1y	a1y	PROPN
ejpam-5013	89	16	+	+	CCONJ
ejpam-5013	89	17	b1	b1	PROPN
ejpam-5013	89	18	−	−	PROPN
ejpam-5013	89	19	a2	a2	PROPN
ejpam-5013	89	20	a2y	a2y	PROPN
ejpam-5013	89	21	+	+	CCONJ
ejpam-5013	89	22	b2	b2	PROPN
ejpam-5013	89	23	)	)	PUNCT
ejpam-5013	89	24	−	−	PROPN
ejpam-5013	90	1	(	(	PUNCT
ejpam-5013	90	2	1−	1−	NUM
ejpam-5013	90	3	α	α	NOUN
ejpam-5013	90	4	)	)	PUNCT
ejpam-5013	90	5	(	(	PUNCT
ejpam-5013	90	6	2ay(t)y′(t	2ay(t)y′(t	X
ejpam-5013	90	7	)	)	PUNCT
ejpam-5013	90	8	+	+	ADJ
ejpam-5013	90	9	by′(t	by′(t	NOUN
ejpam-5013	90	10	)	)	PUNCT
ejpam-5013	90	11	)	)	PUNCT
ejpam-5013	90	12	ay2(t	ay2(t	PROPN
ejpam-5013	90	13	)	)	PUNCT
ejpam-5013	91	1	+	+	NOUN
ejpam-5013	91	2	by(t	by(t	NUM
ejpam-5013	91	3	)	)	PUNCT
ejpam-5013	92	1	+	+	PUNCT
ejpam-5013	92	2	c	c	X
ejpam-5013	92	3	=	=	SYM
ejpam-5013	92	4	α	α	PROPN
ejpam-5013	92	5	(	(	PUNCT
ejpam-5013	92	6	15	15	NUM
ejpam-5013	92	7	)	)	PUNCT
ejpam-5013	92	8	where	where	SCONJ
ejpam-5013	92	9	a1	a1	NOUN
ejpam-5013	92	10	=	=	SYM
ejpam-5013	92	11	a1	a1	NOUN
ejpam-5013	92	12	b2a1	b2a1	X
ejpam-5013	92	13	−	−	PROPN
ejpam-5013	92	14	b1a2	b1a2	NOUN
ejpam-5013	92	15	and	and	CCONJ
ejpam-5013	92	16	a2	a2	PROPN
ejpam-5013	92	17	=	=	SYM
ejpam-5013	92	18	a2	a2	PROPN
ejpam-5013	92	19	b1a2	b1a2	X
ejpam-5013	92	20	−	−	PROPN
ejpam-5013	92	21	b2a1	b2a1	ADP
ejpam-5013	92	22	the	the	DET
ejpam-5013	92	23	solution	solution	NOUN
ejpam-5013	92	24	of	of	ADP
ejpam-5013	92	25	the	the	DET
ejpam-5013	92	26	fractional	fractional	ADJ
ejpam-5013	92	27	riccati	riccati	PROPN
ejpam-5013	92	28	differential	differential	NOUN
ejpam-5013	92	29	equation	equation	NOUN
ejpam-5013	92	30	will	will	AUX
ejpam-5013	92	31	be	be	AUX
ejpam-5013	92	32	ln|a1y	ln|a1y	PRON
ejpam-5013	92	33	+	+	CCONJ
ejpam-5013	92	34	b1|	b1|	ADJ
ejpam-5013	92	35	a1	a1	NOUN
ejpam-5013	92	36	a1	a1	NOUN
ejpam-5013	92	37	−(1−α	−(1−α	PROPN
ejpam-5013	92	38	)	)	PUNCT
ejpam-5013	93	1	+	+	CCONJ
ejpam-5013	93	2	ln|a2y	ln|a2y	ADJ
ejpam-5013	93	3	+	+	CCONJ
ejpam-5013	93	4	b2|	b2|	PROPN
ejpam-5013	93	5	a2	a2	PROPN
ejpam-5013	93	6	a2	a2	PROPN
ejpam-5013	93	7	−(1−α	−(1−α	PROPN
ejpam-5013	93	8	)	)	PUNCT
ejpam-5013	93	9	=	=	SYM
ejpam-5013	94	1	αt+	αt+	NOUN
ejpam-5013	94	2	c	c	NOUN
ejpam-5013	94	3	(	(	PUNCT
ejpam-5013	94	4	16	16	NUM
ejpam-5013	94	5	)	)	PUNCT
ejpam-5013	95	1	so	so	ADV
ejpam-5013	95	2	,	,	PUNCT
ejpam-5013	95	3	we	we	PRON
ejpam-5013	95	4	have	have	VERB
ejpam-5013	95	5	the	the	DET
ejpam-5013	95	6	solution	solution	NOUN
ejpam-5013	95	7	is	be	AUX
ejpam-5013	95	8	|a1y	|a1y	NOUN
ejpam-5013	95	9	+	+	CCONJ
ejpam-5013	96	1	b1|	b1|	NOUN
ejpam-5013	96	2	1	1	NUM
ejpam-5013	96	3	b2a1	b2a1	ADP
ejpam-5013	96	4	−	−	PROPN
ejpam-5013	96	5	b1a2	b1a2	INTJ
ejpam-5013	96	6	−(1−α	−(1−α	PROPN
ejpam-5013	96	7	)	)	PUNCT
ejpam-5013	96	8	|a2y	|a2y	PROPN
ejpam-5013	97	1	+	+	CCONJ
ejpam-5013	97	2	b2|	b2|	PROPN
ejpam-5013	97	3	1	1	NUM
ejpam-5013	97	4	b1a2	b1a2	NOUN
ejpam-5013	97	5	−	−	NOUN
ejpam-5013	97	6	b2a1	b2a1	X
ejpam-5013	97	7	−(1−α	−(1−α	PROPN
ejpam-5013	97	8	)	)	PUNCT
ejpam-5013	97	9	=	=	SYM
ejpam-5013	97	10	ceαt	ceαt	NOUN
ejpam-5013	97	11	(	(	PUNCT
ejpam-5013	97	12	17	17	NUM
ejpam-5013	97	13	)	)	PUNCT
ejpam-5013	97	14	e.	e.	PROPN
ejpam-5013	97	15	abuteen	abuteen	PROPN
ejpam-5013	97	16	/	/	SYM
ejpam-5013	97	17	eur	eur	PROPN
ejpam-5013	97	18	.	.	PUNCT
ejpam-5013	98	1	j.	j.	PROPN
ejpam-5013	98	2	pure	pure	PROPN
ejpam-5013	98	3	appl	appl	PROPN
ejpam-5013	98	4	.	.	PROPN
ejpam-5013	98	5	math	math	PROPN
ejpam-5013	98	6	,	,	PUNCT
ejpam-5013	98	7	17	17	NUM
ejpam-5013	98	8	(	(	PUNCT
ejpam-5013	98	9	1	1	NUM
ejpam-5013	98	10	)	)	PUNCT
ejpam-5013	98	11	(	(	PUNCT
ejpam-5013	98	12	2024	2024	NUM
ejpam-5013	98	13	)	)	PUNCT
ejpam-5013	98	14	,	,	PUNCT
ejpam-5013	98	15	372	372	NUM
ejpam-5013	98	16	-	-	SYM
ejpam-5013	98	17	384	384	NUM
ejpam-5013	98	18	376	376	NUM
ejpam-5013	98	19	case	case	NOUN
ejpam-5013	98	20	2	2	NUM
ejpam-5013	98	21	:	:	PUNCT
ejpam-5013	98	22	if	if	SCONJ
ejpam-5013	98	23	the	the	DET
ejpam-5013	98	24	discriminant	discriminant	ADJ
ejpam-5013	98	25	△	△	X
ejpam-5013	98	26	=	=	SYM
ejpam-5013	98	27	b2	b2	NOUN
ejpam-5013	98	28	−	−	NOUN
ejpam-5013	98	29	4ac	4ac	NOUN
ejpam-5013	98	30	=	=	PUNCT
ejpam-5013	98	31	0	0	PUNCT
ejpam-5013	99	1	the	the	DET
ejpam-5013	99	2	fractional	fractional	PROPN
ejpam-5013	99	3	riccati	riccati	PROPN
ejpam-5013	99	4	differential	differential	NOUN
ejpam-5013	99	5	equation	equation	NOUN
ejpam-5013	99	6	(	(	PUNCT
ejpam-5013	99	7	10)takes	10)takes	NUM
ejpam-5013	99	8	the	the	DET
ejpam-5013	99	9	form	form	NOUN
ejpam-5013	99	10	dαy(t	dαy(t	PROPN
ejpam-5013	99	11	)	)	PUNCT
ejpam-5013	99	12	=	=	PRON
ejpam-5013	99	13	(	(	PUNCT
ejpam-5013	99	14	ay(t	ay(t	PROPN
ejpam-5013	99	15	)	)	PUNCT
ejpam-5013	100	1	+	+	CCONJ
ejpam-5013	100	2	b)2	b)2	ADJ
ejpam-5013	100	3	,	,	PUNCT
ejpam-5013	100	4	0	0	PUNCT
ejpam-5013	100	5	<	<	X
ejpam-5013	100	6	α	α	PROPN
ejpam-5013	100	7	≤	≤	NUM
ejpam-5013	100	8	1	1	NUM
ejpam-5013	100	9	.	.	PUNCT
ejpam-5013	100	10	(	(	PUNCT
ejpam-5013	100	11	18	18	NUM
ejpam-5013	100	12	)	)	PUNCT
ejpam-5013	100	13	with	with	ADP
ejpam-5013	100	14	the	the	DET
ejpam-5013	100	15	initial	initial	ADJ
ejpam-5013	100	16	condition	condition	NOUN
ejpam-5013	100	17	,	,	PUNCT
ejpam-5013	100	18	y(0	y(0	PROPN
ejpam-5013	100	19	)	)	PUNCT
ejpam-5013	100	20	=	=	SYM
ejpam-5013	100	21	y0	y0	NOUN
ejpam-5013	100	22	.	.	PUNCT
ejpam-5013	100	23	using	use	VERB
ejpam-5013	100	24	equation	equation	NOUN
ejpam-5013	100	25	(	(	PUNCT
ejpam-5013	100	26	13	13	NUM
ejpam-5013	100	27	)	)	PUNCT
ejpam-5013	100	28	we	we	PRON
ejpam-5013	100	29	have	have	VERB
ejpam-5013	100	30	y′(t	y′(t	NOUN
ejpam-5013	100	31	)	)	PUNCT
ejpam-5013	100	32	(	(	PUNCT
ejpam-5013	100	33	ay(t	ay(t	PUNCT
ejpam-5013	100	34	)	)	PUNCT
ejpam-5013	101	1	+	+	CCONJ
ejpam-5013	101	2	b)2	b)2	ADJ
ejpam-5013	101	3	−	−	PROPN
ejpam-5013	101	4	(	(	PUNCT
ejpam-5013	101	5	1−	1−	NUM
ejpam-5013	101	6	α	α	NOUN
ejpam-5013	101	7	)	)	PUNCT
ejpam-5013	101	8	(	(	PUNCT
ejpam-5013	101	9	2ay(t)y′(t	2ay(t)y′(t	X
ejpam-5013	101	10	)	)	PUNCT
ejpam-5013	102	1	+	+	ADJ
ejpam-5013	102	2	by′(t	by′(t	NOUN
ejpam-5013	102	3	)	)	PUNCT
ejpam-5013	102	4	)	)	PUNCT
ejpam-5013	103	1	ay2(t	ay2(t	PROPN
ejpam-5013	103	2	)	)	PUNCT
ejpam-5013	104	1	+	+	NOUN
ejpam-5013	104	2	by(t	by(t	NUM
ejpam-5013	104	3	)	)	PUNCT
ejpam-5013	105	1	+	+	PUNCT
ejpam-5013	105	2	c	c	X
ejpam-5013	105	3	=	=	SYM
ejpam-5013	105	4	α	α	PROPN
ejpam-5013	105	5	(	(	PUNCT
ejpam-5013	105	6	19	19	NUM
ejpam-5013	105	7	)	)	PUNCT
ejpam-5013	105	8	integrate	integrate	VERB
ejpam-5013	105	9	equation	equation	NOUN
ejpam-5013	105	10	(	(	PUNCT
ejpam-5013	105	11	19	19	NUM
ejpam-5013	105	12	)	)	PUNCT
ejpam-5013	105	13	,	,	PUNCT
ejpam-5013	105	14	the	the	DET
ejpam-5013	105	15	solution	solution	NOUN
ejpam-5013	105	16	will	will	AUX
ejpam-5013	105	17	have	have	VERB
ejpam-5013	105	18	the	the	DET
ejpam-5013	105	19	following	follow	VERB
ejpam-5013	105	20	form	form	NOUN
ejpam-5013	105	21	|ay	|ay	PUNCT
ejpam-5013	105	22	+	+	NOUN
ejpam-5013	105	23	b|2(α−1	b|2(α−1	NUM
ejpam-5013	105	24	)	)	PUNCT
ejpam-5013	105	25	=	=	SYM
ejpam-5013	105	26	ce	ce	PROPN
ejpam-5013	105	27	1	1	NUM
ejpam-5013	105	28	ay	ay	NOUN
ejpam-5013	105	29	+	+	NUM
ejpam-5013	105	30	b	b	NOUN
ejpam-5013	105	31	eαt	eαt	ADV
ejpam-5013	105	32	,	,	PUNCT
ejpam-5013	105	33	y	y	PROPN
ejpam-5013	105	34	̸=	̸=	PROPN
ejpam-5013	105	35	−b	−b	VERB
ejpam-5013	105	36	a	a	DET
ejpam-5013	105	37	(	(	PUNCT
ejpam-5013	105	38	20	20	NUM
ejpam-5013	105	39	)	)	PUNCT
ejpam-5013	105	40	case	case	NOUN
ejpam-5013	105	41	3	3	NUM
ejpam-5013	105	42	:	:	PUNCT
ejpam-5013	105	43	if	if	SCONJ
ejpam-5013	105	44	the	the	DET
ejpam-5013	105	45	discriminant	discriminant	ADJ
ejpam-5013	105	46	△	△	X
ejpam-5013	105	47	=	=	SYM
ejpam-5013	105	48	b2	b2	NOUN
ejpam-5013	105	49	−	−	PROPN
ejpam-5013	105	50	4ac	4ac	NOUN
ejpam-5013	105	51	<	<	X
ejpam-5013	105	52	0	0	PUNCT
ejpam-5013	105	53	the	the	DET
ejpam-5013	105	54	fractional	fractional	ADJ
ejpam-5013	105	55	riccati	riccati	PROPN
ejpam-5013	105	56	differential	differential	NOUN
ejpam-5013	105	57	equation	equation	NOUN
ejpam-5013	105	58	(	(	PUNCT
ejpam-5013	105	59	10	10	NUM
ejpam-5013	105	60	)	)	PUNCT
ejpam-5013	105	61	dαy(t	dαy(t	PROPN
ejpam-5013	105	62	)	)	PUNCT
ejpam-5013	105	63	=	=	PUNCT
ejpam-5013	106	1	ay2	ay2	ADP
ejpam-5013	107	1	+	+	ADJ
ejpam-5013	107	2	by	by	ADP
ejpam-5013	107	3	+	+	NOUN
ejpam-5013	107	4	c	c	NOUN
ejpam-5013	107	5	,	,	PUNCT
ejpam-5013	107	6	0	0	NUM
ejpam-5013	107	7	<	<	X
ejpam-5013	107	8	α	α	PROPN
ejpam-5013	107	9	≤	≤	NUM
ejpam-5013	107	10	1	1	NUM
ejpam-5013	107	11	.	.	PUNCT
ejpam-5013	108	1	the	the	DET
ejpam-5013	108	2	equation	equation	NOUN
ejpam-5013	108	3	ay2	ay2	ADP
ejpam-5013	108	4	+	+	NOUN
ejpam-5013	108	5	by	by	ADV
ejpam-5013	108	6	+	+	CCONJ
ejpam-5013	108	7	c	c	NOUN
ejpam-5013	108	8	is	be	AUX
ejpam-5013	108	9	irreducible	irreducible	ADJ
ejpam-5013	108	10	,	,	PUNCT
ejpam-5013	108	11	so	so	ADV
ejpam-5013	108	12	by	by	ADP
ejpam-5013	108	13	integrating	integrate	VERB
ejpam-5013	108	14	equation	equation	NOUN
ejpam-5013	108	15	(	(	PUNCT
ejpam-5013	108	16	13	13	NUM
ejpam-5013	108	17	)	)	PUNCT
ejpam-5013	108	18	,	,	PUNCT
ejpam-5013	108	19	we	we	PRON
ejpam-5013	108	20	get	get	VERB
ejpam-5013	108	21	1	1	NUM
ejpam-5013	108	22	a	a	DET
ejpam-5013	108	23	tan−1	tan−1	PROPN
ejpam-5013	108	24	2ay	2ay	NOUN
ejpam-5013	109	1	+	+	NOUN
ejpam-5013	109	2	b√	b√	ADP
ejpam-5013	109	3	4ac	4ac	ADJ
ejpam-5013	109	4	−b2	−b2	PROPN
ejpam-5013	109	5	=	=	SYM
ejpam-5013	109	6	(	(	PUNCT
ejpam-5013	109	7	1−	1−	NUM
ejpam-5013	109	8	α)ln|ay2	α)ln|ay2	NUM
ejpam-5013	110	1	+	+	ADJ
ejpam-5013	110	2	by	by	ADP
ejpam-5013	110	3	+	+	NOUN
ejpam-5013	110	4	c|+	c|+	NOUN
ejpam-5013	110	5	αt+	αt+	NOUN
ejpam-5013	110	6	c	c	NOUN
ejpam-5013	110	7	(	(	PUNCT
ejpam-5013	110	8	21	21	NUM
ejpam-5013	110	9	)	)	PUNCT
ejpam-5013	110	10	4	4	NUM
ejpam-5013	110	11	.	.	PUNCT
ejpam-5013	110	12	numerical	numerical	ADJ
ejpam-5013	110	13	examples	example	NOUN
ejpam-5013	110	14	we	we	PRON
ejpam-5013	110	15	employ	employ	VERB
ejpam-5013	110	16	the	the	DET
ejpam-5013	110	17	general	general	ADJ
ejpam-5013	110	18	solution	solution	NOUN
ejpam-5013	110	19	of	of	ADP
ejpam-5013	110	20	the	the	DET
ejpam-5013	110	21	fractional	fractional	ADJ
ejpam-5013	110	22	riccati	riccati	PROPN
ejpam-5013	110	23	differential	differential	NOUN
ejpam-5013	110	24	equation	equation	NOUN
ejpam-5013	110	25	in	in	ADP
ejpam-5013	110	26	all	all	DET
ejpam-5013	110	27	three	three	NUM
ejpam-5013	110	28	cases	case	NOUN
ejpam-5013	110	29	to	to	PART
ejpam-5013	110	30	analyze	analyze	VERB
ejpam-5013	110	31	the	the	DET
ejpam-5013	110	32	following	follow	VERB
ejpam-5013	110	33	examples	example	NOUN
ejpam-5013	110	34	and	and	CCONJ
ejpam-5013	110	35	contrast	contrast	VERB
ejpam-5013	110	36	them	they	PRON
ejpam-5013	110	37	with	with	ADP
ejpam-5013	110	38	alternative	alternative	ADJ
ejpam-5013	110	39	methods	method	NOUN
ejpam-5013	110	40	.	.	PUNCT
ejpam-5013	111	1	example	example	NOUN
ejpam-5013	112	1	1	1	NUM
ejpam-5013	112	2	.	.	X
ejpam-5013	112	3	consider	consider	VERB
ejpam-5013	112	4	the	the	DET
ejpam-5013	112	5	following	follow	VERB
ejpam-5013	112	6	fractional	fractional	ADJ
ejpam-5013	112	7	logistic	logistic	ADJ
ejpam-5013	112	8	differential	differential	NOUN
ejpam-5013	112	9	equation	equation	NOUN
ejpam-5013	112	10	dαy(t	dαy(t	PROPN
ejpam-5013	112	11	)	)	PUNCT
ejpam-5013	112	12	=	=	SYM
ejpam-5013	112	13	y	y	PROPN
ejpam-5013	112	14	−	−	PROPN
ejpam-5013	112	15	y2	y2	PROPN
ejpam-5013	112	16	,	,	PUNCT
ejpam-5013	112	17	y(0	y(0	PROPN
ejpam-5013	112	18	)	)	PUNCT
ejpam-5013	112	19	=	=	SYM
ejpam-5013	112	20	1	1	NUM
ejpam-5013	112	21	2	2	NUM
ejpam-5013	112	22	(	(	PUNCT
ejpam-5013	112	23	22	22	NUM
ejpam-5013	112	24	)	)	PUNCT
ejpam-5013	112	25	this	this	DET
ejpam-5013	112	26	differential	differential	ADJ
ejpam-5013	112	27	equation	equation	NOUN
ejpam-5013	112	28	is	be	AUX
ejpam-5013	112	29	classified	classify	VERB
ejpam-5013	112	30	under	under	ADP
ejpam-5013	112	31	case	case	NOUN
ejpam-5013	112	32	1	1	NUM
ejpam-5013	112	33	and	and	CCONJ
ejpam-5013	112	34	by	by	ADP
ejpam-5013	112	35	applying	apply	VERB
ejpam-5013	112	36	equation	equation	NOUN
ejpam-5013	112	37	(	(	PUNCT
ejpam-5013	112	38	17	17	NUM
ejpam-5013	112	39	)	)	PUNCT
ejpam-5013	112	40	,	,	PUNCT
ejpam-5013	112	41	we	we	PRON
ejpam-5013	112	42	find	find	VERB
ejpam-5013	112	43	that	that	SCONJ
ejpam-5013	112	44	the	the	DET
ejpam-5013	112	45	solution	solution	NOUN
ejpam-5013	112	46	to	to	PART
ejpam-5013	112	47	be	be	AUX
ejpam-5013	112	48	|y|α|1−	|y|α|1−	PROPN
ejpam-5013	112	49	y|α−2	y|α−2	NOUN
ejpam-5013	112	50	=	=	SYM
ejpam-5013	112	51	(	(	PUNCT
ejpam-5013	112	52	1	1	NUM
ejpam-5013	112	53	4	4	NUM
ejpam-5013	112	54	)	)	PUNCT
ejpam-5013	112	55	2α−2	2α−2	NUM
ejpam-5013	112	56	eαt	eαt	ADV
ejpam-5013	112	57	(	(	PUNCT
ejpam-5013	112	58	23	23	NUM
ejpam-5013	112	59	)	)	PUNCT
ejpam-5013	112	60	if	if	SCONJ
ejpam-5013	112	61	α	α	NOUN
ejpam-5013	112	62	=	=	SYM
ejpam-5013	112	63	1	1	NUM
ejpam-5013	112	64	,	,	PUNCT
ejpam-5013	112	65	then	then	ADV
ejpam-5013	112	66	the	the	DET
ejpam-5013	112	67	solution	solution	NOUN
ejpam-5013	112	68	is	be	AUX
ejpam-5013	112	69	y	y	NOUN
ejpam-5013	112	70	=	=	SYM
ejpam-5013	112	71	1	1	NUM
ejpam-5013	112	72	e−t	e−t	NOUN
ejpam-5013	112	73	+	+	NOUN
ejpam-5013	112	74	1	1	NUM
ejpam-5013	112	75	(	(	PUNCT
ejpam-5013	112	76	24	24	NUM
ejpam-5013	112	77	)	)	PUNCT
ejpam-5013	112	78	e.	e.	PROPN
ejpam-5013	112	79	abuteen	abuteen	PROPN
ejpam-5013	112	80	/	/	SYM
ejpam-5013	112	81	eur	eur	PROPN
ejpam-5013	112	82	.	.	PUNCT
ejpam-5013	113	1	j.	j.	PROPN
ejpam-5013	113	2	pure	pure	PROPN
ejpam-5013	113	3	appl	appl	PROPN
ejpam-5013	113	4	.	.	PROPN
ejpam-5013	113	5	math	math	PROPN
ejpam-5013	113	6	,	,	PUNCT
ejpam-5013	113	7	17	17	NUM
ejpam-5013	113	8	(	(	PUNCT
ejpam-5013	113	9	1	1	NUM
ejpam-5013	113	10	)	)	PUNCT
ejpam-5013	113	11	(	(	PUNCT
ejpam-5013	113	12	2024	2024	NUM
ejpam-5013	113	13	)	)	PUNCT
ejpam-5013	113	14	,	,	PUNCT
ejpam-5013	113	15	372	372	NUM
ejpam-5013	113	16	-	-	SYM
ejpam-5013	113	17	384	384	NUM
ejpam-5013	113	18	377	377	NUM
ejpam-5013	113	19	this	this	DET
ejpam-5013	113	20	solution	solution	NOUN
ejpam-5013	113	21	agrees	agree	VERB
ejpam-5013	113	22	with	with	SCONJ
ejpam-5013	113	23	several	several	ADJ
ejpam-5013	113	24	solutions	solution	NOUN
ejpam-5013	113	25	for	for	ADP
ejpam-5013	113	26	fractional	fractional	ADJ
ejpam-5013	113	27	logistic	logistic	ADJ
ejpam-5013	113	28	differential	differential	NOUN
ejpam-5013	113	29	equations	equation	NOUN
ejpam-5013	113	30	see	see	VERB
ejpam-5013	113	31	[	[	X
ejpam-5013	113	32	24],[5],[7],[32],[4	24],[5],[7],[32],[4	NUM
ejpam-5013	113	33	]	]	PUNCT
ejpam-5013	113	34	.	.	PUNCT
ejpam-5013	114	1	comparisons	comparison	NOUN
ejpam-5013	114	2	for	for	ADP
ejpam-5013	114	3	different	different	ADJ
ejpam-5013	114	4	values	value	NOUN
ejpam-5013	114	5	of	of	ADP
ejpam-5013	114	6	α	α	PROPN
ejpam-5013	114	7	are	be	AUX
ejpam-5013	114	8	shown	show	VERB
ejpam-5013	114	9	in	in	ADP
ejpam-5013	114	10	figure	figure	NOUN
ejpam-5013	114	11	1	1	NUM
ejpam-5013	114	12	.	.	PUNCT
ejpam-5013	115	1	figure	figure	NOUN
ejpam-5013	115	2	1	1	NUM
ejpam-5013	115	3	:	:	PUNCT
ejpam-5013	115	4	solutions	solution	NOUN
ejpam-5013	115	5	of	of	ADP
ejpam-5013	115	6	the	the	DET
ejpam-5013	115	7	fractional	fractional	ADJ
ejpam-5013	115	8	differential	differential	ADJ
ejpam-5013	115	9	equation	equation	NOUN
ejpam-5013	115	10	(	(	PUNCT
ejpam-5013	115	11	22	22	NUM
ejpam-5013	115	12	)	)	PUNCT
ejpam-5013	115	13	for	for	ADP
ejpam-5013	115	14	different	different	ADJ
ejpam-5013	115	15	values	value	NOUN
ejpam-5013	115	16	of	of	ADP
ejpam-5013	115	17	α	α	PROPN
ejpam-5013	115	18	.	.	PUNCT
ejpam-5013	115	19	example	example	NOUN
ejpam-5013	116	1	2	2	NUM
ejpam-5013	116	2	.	.	X
ejpam-5013	116	3	consider	consider	VERB
ejpam-5013	116	4	the	the	DET
ejpam-5013	116	5	following	follow	VERB
ejpam-5013	116	6	fractional	fractional	ADJ
ejpam-5013	116	7	differential	differential	ADJ
ejpam-5013	116	8	equation	equation	NOUN
ejpam-5013	116	9	dαy(t	dαy(t	PROPN
ejpam-5013	116	10	)	)	PUNCT
ejpam-5013	116	11	=	=	SYM
ejpam-5013	116	12	−y2	−y2	PROPN
ejpam-5013	116	13	+	+	NUM
ejpam-5013	116	14	2y	2y	PROPN
ejpam-5013	116	15	+	+	CCONJ
ejpam-5013	116	16	1	1	NUM
ejpam-5013	116	17	,	,	PUNCT
ejpam-5013	116	18	y(0	y(0	PROPN
ejpam-5013	116	19	)	)	PUNCT
ejpam-5013	116	20	=	=	SYM
ejpam-5013	116	21	0	0	PUNCT
ejpam-5013	117	1	(	(	PUNCT
ejpam-5013	117	2	25	25	NUM
ejpam-5013	117	3	)	)	PUNCT
ejpam-5013	117	4	based	base	VERB
ejpam-5013	117	5	on	on	ADP
ejpam-5013	117	6	positive	positive	ADJ
ejpam-5013	117	7	discriminant	discriminant	NOUN
ejpam-5013	117	8	,	,	PUNCT
ejpam-5013	117	9	this	this	DET
ejpam-5013	117	10	equation	equation	NOUN
ejpam-5013	117	11	is	be	AUX
ejpam-5013	117	12	associated	associate	VERB
ejpam-5013	117	13	with	with	ADP
ejpam-5013	117	14	case	case	NOUN
ejpam-5013	117	15	1	1	NUM
ejpam-5013	117	16	.	.	PUNCT
ejpam-5013	118	1	by	by	ADP
ejpam-5013	118	2	applying	apply	VERB
ejpam-5013	118	3	equation	equation	NOUN
ejpam-5013	118	4	(	(	PUNCT
ejpam-5013	118	5	17	17	NUM
ejpam-5013	118	6	)	)	PUNCT
ejpam-5013	118	7	,	,	PUNCT
ejpam-5013	118	8	the	the	DET
ejpam-5013	118	9	solution	solution	NOUN
ejpam-5013	118	10	is	be	AUX
ejpam-5013	118	11	characterized	characterize	VERB
ejpam-5013	118	12	by	by	ADP
ejpam-5013	118	13	|y	|y	NOUN
ejpam-5013	118	14	−	−	PROPN
ejpam-5013	118	15	(	(	PUNCT
ejpam-5013	118	16	1−	1−	NUM
ejpam-5013	118	17	√	√	NUM
ejpam-5013	118	18	2)|	2)|	NUM
ejpam-5013	118	19	1	1	NUM
ejpam-5013	118	20	2	2	NUM
ejpam-5013	118	21	√	√	NUM
ejpam-5013	118	22	2	2	NUM
ejpam-5013	119	1	−1+α	−1+α	PROPN
ejpam-5013	119	2	|(1	|(1	PROPN
ejpam-5013	119	3	+	+	CCONJ
ejpam-5013	119	4	√	√	PROPN
ejpam-5013	119	5	2)−	2)−	NUM
ejpam-5013	119	6	y|	y|	NOUN
ejpam-5013	119	7	α−1−	α−1−	NOUN
ejpam-5013	119	8	1	1	NUM
ejpam-5013	119	9	2	2	NUM
ejpam-5013	119	10	√	√	NUM
ejpam-5013	119	11	2	2	NUM
ejpam-5013	119	12	=	=	SYM
ejpam-5013	119	13	(	(	PUNCT
ejpam-5013	119	14	√	√	NUM
ejpam-5013	119	15	2−	2−	NUM
ejpam-5013	119	16	1√	1√	PROPN
ejpam-5013	119	17	2	2	NUM
ejpam-5013	119	18	+	+	CCONJ
ejpam-5013	119	19	1	1	NUM
ejpam-5013	119	20	)	)	PUNCT
ejpam-5013	119	21	1	1	NUM
ejpam-5013	119	22	2	2	NUM
ejpam-5013	119	23	√	√	NUM
ejpam-5013	119	24	2	2	NUM
ejpam-5013	119	25	eαt	eαt	ADV
ejpam-5013	119	26	(	(	PUNCT
ejpam-5013	119	27	26	26	NUM
ejpam-5013	119	28	)	)	PUNCT
ejpam-5013	119	29	substituting	substitute	VERB
ejpam-5013	119	30	α	α	NOUN
ejpam-5013	119	31	=	=	SYM
ejpam-5013	119	32	1	1	NUM
ejpam-5013	119	33	in	in	ADP
ejpam-5013	119	34	equation	equation	NOUN
ejpam-5013	119	35	(	(	PUNCT
ejpam-5013	119	36	26	26	NUM
ejpam-5013	119	37	)	)	PUNCT
ejpam-5013	119	38	,	,	PUNCT
ejpam-5013	119	39	we	we	PRON
ejpam-5013	119	40	obtain	obtain	VERB
ejpam-5013	119	41	the	the	DET
ejpam-5013	119	42	solution	solution	NOUN
ejpam-5013	119	43	as	as	ADP
ejpam-5013	119	44	y	y	PROPN
ejpam-5013	119	45	=	=	PROPN
ejpam-5013	119	46	e2	e2	PROPN
ejpam-5013	119	47	√	√	NUM
ejpam-5013	119	48	2	2	NUM
ejpam-5013	119	49	t	t	NOUN
ejpam-5013	119	50	−	−	NOUN
ejpam-5013	119	51	1	1	NUM
ejpam-5013	119	52	(	(	PUNCT
ejpam-5013	119	53	√	√	NUM
ejpam-5013	119	54	2−	2−	NUM
ejpam-5013	119	55	1)e2	1)e2	NUM
ejpam-5013	119	56	√	√	NUM
ejpam-5013	119	57	2	2	NUM
ejpam-5013	119	58	t	t	NOUN
ejpam-5013	119	59	+	+	CCONJ
ejpam-5013	119	60	(	(	PUNCT
ejpam-5013	119	61	√	√	NUM
ejpam-5013	119	62	2	2	NUM
ejpam-5013	119	63	+	+	NUM
ejpam-5013	119	64	1	1	NUM
ejpam-5013	119	65	)	)	PUNCT
ejpam-5013	119	66	(	(	PUNCT
ejpam-5013	119	67	27	27	NUM
ejpam-5013	119	68	)	)	PUNCT
ejpam-5013	119	69	e.	e.	PROPN
ejpam-5013	119	70	abuteen	abuteen	PROPN
ejpam-5013	119	71	/	/	SYM
ejpam-5013	119	72	eur	eur	PROPN
ejpam-5013	119	73	.	.	PUNCT
ejpam-5013	120	1	j.	j.	PROPN
ejpam-5013	120	2	pure	pure	PROPN
ejpam-5013	120	3	appl	appl	PROPN
ejpam-5013	120	4	.	.	PROPN
ejpam-5013	120	5	math	math	PROPN
ejpam-5013	120	6	,	,	PUNCT
ejpam-5013	120	7	17	17	NUM
ejpam-5013	120	8	(	(	PUNCT
ejpam-5013	120	9	1	1	NUM
ejpam-5013	120	10	)	)	PUNCT
ejpam-5013	120	11	(	(	PUNCT
ejpam-5013	120	12	2024	2024	NUM
ejpam-5013	120	13	)	)	PUNCT
ejpam-5013	120	14	,	,	PUNCT
ejpam-5013	120	15	372	372	NUM
ejpam-5013	120	16	-	-	SYM
ejpam-5013	120	17	384	384	NUM
ejpam-5013	120	18	378	378	NUM
ejpam-5013	120	19	this	this	DET
ejpam-5013	120	20	solution	solution	NOUN
ejpam-5013	120	21	is	be	AUX
ejpam-5013	120	22	equivalent	equivalent	ADJ
ejpam-5013	120	23	to	to	ADP
ejpam-5013	120	24	y	y	PROPN
ejpam-5013	120	25	=	=	PUNCT
ejpam-5013	120	26	1	1	NUM
ejpam-5013	120	27	+	+	CCONJ
ejpam-5013	120	28	√	√	PROPN
ejpam-5013	120	29	2tanh	2tanh	NUM
ejpam-5013	120	30	(	(	PUNCT
ejpam-5013	120	31	√	√	NUM
ejpam-5013	120	32	2t+	2t+	NUM
ejpam-5013	120	33	1	1	NUM
ejpam-5013	120	34	2	2	NUM
ejpam-5013	120	35	ln	ln	NOUN
ejpam-5013	120	36	(	(	PUNCT
ejpam-5013	120	37	√	√	NUM
ejpam-5013	120	38	2−	2−	NUM
ejpam-5013	120	39	1√	1√	PROPN
ejpam-5013	120	40	2	2	NUM
ejpam-5013	120	41	+	+	CCONJ
ejpam-5013	120	42	1	1	NUM
ejpam-5013	120	43	)	)	PUNCT
ejpam-5013	120	44	)	)	PUNCT
ejpam-5013	120	45	(	(	PUNCT
ejpam-5013	120	46	28	28	NUM
ejpam-5013	120	47	)	)	PUNCT
ejpam-5013	120	48	which	which	PRON
ejpam-5013	120	49	is	be	AUX
ejpam-5013	120	50	compatible	compatible	ADJ
ejpam-5013	120	51	with	with	ADP
ejpam-5013	120	52	the	the	DET
ejpam-5013	120	53	one	one	NOUN
ejpam-5013	120	54	found	find	VERB
ejpam-5013	120	55	in	in	ADP
ejpam-5013	120	56	[	[	NOUN
ejpam-5013	120	57	36],[33],[43],[40	36],[33],[43],[40	NUM
ejpam-5013	120	58	]	]	PUNCT
ejpam-5013	120	59	,	,	PUNCT
ejpam-5013	120	60	[	[	X
ejpam-5013	120	61	35	35	NUM
ejpam-5013	120	62	]	]	PUNCT
ejpam-5013	120	63	,	,	PUNCT
ejpam-5013	120	64	[	[	X
ejpam-5013	120	65	26	26	NUM
ejpam-5013	120	66	]	]	PUNCT
ejpam-5013	120	67	.	.	PUNCT
ejpam-5013	121	1	figure	figure	NOUN
ejpam-5013	121	2	2	2	NUM
ejpam-5013	121	3	:	:	PUNCT
ejpam-5013	121	4	solutions	solution	NOUN
ejpam-5013	121	5	of	of	ADP
ejpam-5013	121	6	the	the	DET
ejpam-5013	121	7	fractional	fractional	ADJ
ejpam-5013	121	8	differential	differential	ADJ
ejpam-5013	121	9	equation	equation	NOUN
ejpam-5013	121	10	(	(	PUNCT
ejpam-5013	121	11	25	25	NUM
ejpam-5013	121	12	)	)	PUNCT
ejpam-5013	121	13	for	for	ADP
ejpam-5013	121	14	different	different	ADJ
ejpam-5013	121	15	values	value	NOUN
ejpam-5013	121	16	of	of	ADP
ejpam-5013	121	17	α	α	PROPN
ejpam-5013	121	18	.	.	PUNCT
ejpam-5013	121	19	example	example	NOUN
ejpam-5013	122	1	3	3	X
ejpam-5013	122	2	.	.	X
ejpam-5013	122	3	consider	consider	VERB
ejpam-5013	122	4	the	the	DET
ejpam-5013	122	5	following	follow	VERB
ejpam-5013	122	6	fractional	fractional	ADJ
ejpam-5013	122	7	differential	differential	ADJ
ejpam-5013	122	8	equation	equation	NOUN
ejpam-5013	122	9	dαy(t	dαy(t	PROPN
ejpam-5013	122	10	)	)	PUNCT
ejpam-5013	122	11	=	=	PUNCT
ejpam-5013	123	1	y2	y2	PROPN
ejpam-5013	124	1	+	+	CCONJ
ejpam-5013	124	2	4y	4y	PRON
ejpam-5013	124	3	+	+	CCONJ
ejpam-5013	124	4	4	4	NUM
ejpam-5013	124	5	,	,	PUNCT
ejpam-5013	124	6	y(0	y(0	PROPN
ejpam-5013	124	7	)	)	PUNCT
ejpam-5013	125	1	=	=	SYM
ejpam-5013	125	2	0	0	NUM
ejpam-5013	125	3	(	(	PUNCT
ejpam-5013	125	4	29	29	NUM
ejpam-5013	125	5	)	)	PUNCT
ejpam-5013	125	6	this	this	DET
ejpam-5013	125	7	example	example	NOUN
ejpam-5013	125	8	is	be	AUX
ejpam-5013	125	9	classified	classify	VERB
ejpam-5013	125	10	as	as	ADP
ejpam-5013	125	11	case	case	NOUN
ejpam-5013	125	12	2	2	NUM
ejpam-5013	125	13	.	.	PUNCT
ejpam-5013	126	1	therefore	therefore	ADV
ejpam-5013	126	2	,	,	PUNCT
ejpam-5013	126	3	the	the	DET
ejpam-5013	126	4	solution	solution	NOUN
ejpam-5013	126	5	for	for	ADP
ejpam-5013	126	6	this	this	DET
ejpam-5013	126	7	case	case	NOUN
ejpam-5013	126	8	follows	follow	VERB
ejpam-5013	126	9	the	the	DET
ejpam-5013	126	10	pattern	pattern	NOUN
ejpam-5013	126	11	of	of	ADP
ejpam-5013	126	12	equation	equation	NOUN
ejpam-5013	126	13	(	(	PUNCT
ejpam-5013	126	14	20	20	NUM
ejpam-5013	126	15	)	)	PUNCT
ejpam-5013	126	16	,	,	PUNCT
ejpam-5013	126	17	and	and	CCONJ
ejpam-5013	126	18	thereafter	thereafter	ADV
ejpam-5013	126	19	,	,	PUNCT
ejpam-5013	126	20	the	the	DET
ejpam-5013	126	21	solution	solution	NOUN
ejpam-5013	126	22	is	be	AUX
ejpam-5013	126	23	|y	|y	NOUN
ejpam-5013	126	24	+	+	CCONJ
ejpam-5013	126	25	2|2(α−1	2|2(α−1	NUM
ejpam-5013	126	26	)	)	PUNCT
ejpam-5013	126	27	=	=	SYM
ejpam-5013	126	28	22(α−1)e	22(α−1)e	NUM
ejpam-5013	126	29	αt+	αt+	NOUN
ejpam-5013	126	30	1	1	NUM
ejpam-5013	126	31	y	y	NOUN
ejpam-5013	126	32	+	+	CCONJ
ejpam-5013	126	33	2	2	NUM
ejpam-5013	126	34	−	−	NOUN
ejpam-5013	126	35	1	1	NUM
ejpam-5013	126	36	2	2	NUM
ejpam-5013	126	37	(	(	PUNCT
ejpam-5013	126	38	30	30	NUM
ejpam-5013	126	39	)	)	PUNCT
ejpam-5013	126	40	where	where	SCONJ
ejpam-5013	126	41	the	the	DET
ejpam-5013	126	42	exact	exact	ADJ
ejpam-5013	126	43	solution	solution	NOUN
ejpam-5013	126	44	for	for	ADP
ejpam-5013	126	45	α	α	NOUN
ejpam-5013	126	46	=	=	SYM
ejpam-5013	126	47	1	1	NUM
ejpam-5013	126	48	is	be	AUX
ejpam-5013	126	49	y	y	NOUN
ejpam-5013	126	50	=	=	SYM
ejpam-5013	126	51	4	4	NUM
ejpam-5013	126	52	t	t	NOUN
ejpam-5013	126	53	1−	1−	NUM
ejpam-5013	126	54	2	2	NUM
ejpam-5013	126	55	t	t	NOUN
ejpam-5013	126	56	(	(	PUNCT
ejpam-5013	126	57	31	31	NUM
ejpam-5013	126	58	)	)	PUNCT
ejpam-5013	126	59	e.	e.	PROPN
ejpam-5013	126	60	abuteen	abuteen	PROPN
ejpam-5013	126	61	/	/	SYM
ejpam-5013	126	62	eur	eur	PROPN
ejpam-5013	126	63	.	.	PUNCT
ejpam-5013	127	1	j.	j.	PROPN
ejpam-5013	127	2	pure	pure	PROPN
ejpam-5013	127	3	appl	appl	PROPN
ejpam-5013	127	4	.	.	PROPN
ejpam-5013	127	5	math	math	PROPN
ejpam-5013	127	6	,	,	PUNCT
ejpam-5013	127	7	17	17	NUM
ejpam-5013	127	8	(	(	PUNCT
ejpam-5013	127	9	1	1	NUM
ejpam-5013	127	10	)	)	PUNCT
ejpam-5013	127	11	(	(	PUNCT
ejpam-5013	127	12	2024	2024	NUM
ejpam-5013	127	13	)	)	PUNCT
ejpam-5013	127	14	,	,	PUNCT
ejpam-5013	127	15	372	372	NUM
ejpam-5013	127	16	-	-	SYM
ejpam-5013	127	17	384	384	NUM
ejpam-5013	127	18	379	379	NUM
ejpam-5013	127	19	figure	figure	NOUN
ejpam-5013	127	20	3	3	NUM
ejpam-5013	127	21	:	:	PUNCT
ejpam-5013	127	22	solutions	solution	NOUN
ejpam-5013	127	23	of	of	ADP
ejpam-5013	127	24	the	the	DET
ejpam-5013	127	25	fractional	fractional	ADJ
ejpam-5013	127	26	differential	differential	ADJ
ejpam-5013	127	27	equation	equation	NOUN
ejpam-5013	127	28	(	(	PUNCT
ejpam-5013	127	29	29	29	NUM
ejpam-5013	127	30	)	)	PUNCT
ejpam-5013	127	31	for	for	ADP
ejpam-5013	127	32	different	different	ADJ
ejpam-5013	127	33	values	value	NOUN
ejpam-5013	127	34	of	of	ADP
ejpam-5013	127	35	α	α	PROPN
ejpam-5013	127	36	.	.	PUNCT
ejpam-5013	127	37	example	example	NOUN
ejpam-5013	128	1	4	4	NUM
ejpam-5013	128	2	.	.	PUNCT
ejpam-5013	128	3	consider	consider	VERB
ejpam-5013	128	4	the	the	DET
ejpam-5013	128	5	following	follow	VERB
ejpam-5013	128	6	fractional	fractional	ADJ
ejpam-5013	128	7	differential	differential	ADJ
ejpam-5013	128	8	equation	equation	NOUN
ejpam-5013	128	9	dαy(t	dαy(t	PROPN
ejpam-5013	128	10	)	)	PUNCT
ejpam-5013	128	11	=	=	PUNCT
ejpam-5013	129	1	y2	y2	NOUN
ejpam-5013	130	1	+	+	CCONJ
ejpam-5013	130	2	1	1	NUM
ejpam-5013	130	3	,	,	PUNCT
ejpam-5013	130	4	y(0	y(0	PROPN
ejpam-5013	130	5	)	)	PUNCT
ejpam-5013	130	6	=	=	SYM
ejpam-5013	130	7	0	0	NUM
ejpam-5013	130	8	(	(	PUNCT
ejpam-5013	130	9	32	32	NUM
ejpam-5013	130	10	)	)	PUNCT
ejpam-5013	130	11	we	we	PRON
ejpam-5013	130	12	notice	notice	VERB
ejpam-5013	130	13	that	that	SCONJ
ejpam-5013	130	14	this	this	DET
ejpam-5013	130	15	example	example	NOUN
ejpam-5013	130	16	is	be	AUX
ejpam-5013	130	17	categorized	categorize	VERB
ejpam-5013	130	18	under	under	ADP
ejpam-5013	130	19	case	case	NOUN
ejpam-5013	130	20	3	3	NUM
ejpam-5013	130	21	.	.	PUNCT
ejpam-5013	130	22	therefore	therefore	ADV
ejpam-5013	130	23	,	,	PUNCT
ejpam-5013	130	24	according	accord	VERB
ejpam-5013	130	25	to	to	ADP
ejpam-5013	130	26	the	the	DET
ejpam-5013	130	27	equation	equation	NOUN
ejpam-5013	130	28	(	(	PUNCT
ejpam-5013	130	29	21	21	NUM
ejpam-5013	130	30	)	)	PUNCT
ejpam-5013	130	31	,	,	PUNCT
ejpam-5013	130	32	the	the	DET
ejpam-5013	130	33	solution	solution	NOUN
ejpam-5013	130	34	comes	come	VERB
ejpam-5013	130	35	out	out	ADP
ejpam-5013	130	36	to	to	PART
ejpam-5013	130	37	be	be	AUX
ejpam-5013	130	38	tan−1y	tan−1y	NOUN
ejpam-5013	130	39	=	=	SYM
ejpam-5013	130	40	(	(	PUNCT
ejpam-5013	130	41	1−	1−	NUM
ejpam-5013	130	42	α)ln(y2	α)ln(y2	NOUN
ejpam-5013	130	43	+	+	CCONJ
ejpam-5013	130	44	1	1	X
ejpam-5013	130	45	)	)	PUNCT
ejpam-5013	130	46	+	+	CCONJ
ejpam-5013	130	47	αt	αt	NOUN
ejpam-5013	130	48	(	(	PUNCT
ejpam-5013	130	49	33	33	NUM
ejpam-5013	130	50	)	)	PUNCT
ejpam-5013	130	51	the	the	DET
ejpam-5013	130	52	exact	exact	ADJ
ejpam-5013	130	53	solution	solution	NOUN
ejpam-5013	130	54	for	for	ADP
ejpam-5013	130	55	α	α	NOUN
ejpam-5013	130	56	=	=	SYM
ejpam-5013	130	57	1	1	NUM
ejpam-5013	130	58	is	be	AUX
ejpam-5013	130	59	y	y	PROPN
ejpam-5013	130	60	=	=	SYM
ejpam-5013	130	61	tan(t	tan(t	PROPN
ejpam-5013	130	62	)	)	PUNCT
ejpam-5013	130	63	we	we	PRON
ejpam-5013	130	64	can	can	AUX
ejpam-5013	130	65	see	see	VERB
ejpam-5013	130	66	that	that	SCONJ
ejpam-5013	130	67	the	the	DET
ejpam-5013	130	68	exact	exact	ADJ
ejpam-5013	130	69	solution	solution	NOUN
ejpam-5013	130	70	agrees	agree	VERB
ejpam-5013	130	71	with	with	ADP
ejpam-5013	130	72	our	our	PRON
ejpam-5013	130	73	solution	solution	NOUN
ejpam-5013	130	74	.	.	PUNCT
ejpam-5013	131	1	for	for	ADP
ejpam-5013	131	2	comparisons	comparison	NOUN
ejpam-5013	131	3	with	with	ADP
ejpam-5013	131	4	this	this	DET
ejpam-5013	131	5	solution	solution	NOUN
ejpam-5013	131	6	and	and	CCONJ
ejpam-5013	131	7	figures	figure	NOUN
ejpam-5013	131	8	see	see	VERB
ejpam-5013	131	9	[	[	X
ejpam-5013	131	10	1	1	NUM
ejpam-5013	131	11	]	]	PUNCT
ejpam-5013	131	12	figure	figure	NOUN
ejpam-5013	131	13	4	4	NUM
ejpam-5013	131	14	shows	show	VERB
ejpam-5013	131	15	a	a	DET
ejpam-5013	131	16	comparison	comparison	NOUN
ejpam-5013	131	17	of	of	ADP
ejpam-5013	131	18	different	different	ADJ
ejpam-5013	131	19	values	value	NOUN
ejpam-5013	131	20	of	of	ADP
ejpam-5013	131	21	α	α	PROPN
ejpam-5013	131	22	.	.	PUNCT
ejpam-5013	132	1	references	reference	NOUN
ejpam-5013	132	2	380	380	NUM
ejpam-5013	132	3	figure	figure	NOUN
ejpam-5013	132	4	4	4	NUM
ejpam-5013	132	5	:	:	PUNCT
ejpam-5013	132	6	solutions	solution	NOUN
ejpam-5013	132	7	of	of	ADP
ejpam-5013	132	8	the	the	DET
ejpam-5013	132	9	fractional	fractional	ADJ
ejpam-5013	132	10	differential	differential	ADJ
ejpam-5013	132	11	equation	equation	NOUN
ejpam-5013	132	12	(	(	PUNCT
ejpam-5013	132	13	32	32	NUM
ejpam-5013	132	14	)	)	PUNCT
ejpam-5013	132	15	for	for	ADP
ejpam-5013	132	16	different	different	ADJ
ejpam-5013	132	17	values	value	NOUN
ejpam-5013	132	18	of	of	ADP
ejpam-5013	132	19	α	α	NOUN
ejpam-5013	132	20	for	for	ADP
ejpam-5013	132	21	0	0	NUM
ejpam-5013	132	22	≤	≤	NUM
ejpam-5013	132	23	t	t	NOUN
ejpam-5013	132	24	≤	≤	NUM
ejpam-5013	132	25	1	1	NUM
ejpam-5013	132	26	5	5	NUM
ejpam-5013	132	27	.	.	PUNCT
ejpam-5013	132	28	conclusion	conclusion	NOUN
ejpam-5013	132	29	in	in	ADP
ejpam-5013	132	30	this	this	DET
ejpam-5013	132	31	paper	paper	NOUN
ejpam-5013	132	32	,	,	PUNCT
ejpam-5013	132	33	we	we	PRON
ejpam-5013	132	34	categorize	categorize	VERB
ejpam-5013	132	35	the	the	DET
ejpam-5013	132	36	fractional	fractional	ADJ
ejpam-5013	132	37	riccati	riccati	PROPN
ejpam-5013	132	38	differential	differential	NOUN
ejpam-5013	132	39	equation	equation	NOUN
ejpam-5013	132	40	under	under	ADP
ejpam-5013	132	41	three	three	NUM
ejpam-5013	132	42	cases	case	NOUN
ejpam-5013	132	43	and	and	CCONJ
ejpam-5013	132	44	apply	apply	VERB
ejpam-5013	132	45	caputo	caputo	PROPN
ejpam-5013	132	46	-	-	PUNCT
ejpam-5013	132	47	fabrizio	fabrizio	PROPN
ejpam-5013	132	48	fractional	fractional	ADJ
ejpam-5013	132	49	derivative	derivative	ADJ
ejpam-5013	132	50	and	and	CCONJ
ejpam-5013	132	51	integral	integral	ADJ
ejpam-5013	132	52	properties	property	NOUN
ejpam-5013	132	53	on	on	ADP
ejpam-5013	132	54	these	these	DET
ejpam-5013	132	55	cases	case	NOUN
ejpam-5013	132	56	to	to	PART
ejpam-5013	132	57	find	find	VERB
ejpam-5013	132	58	analytical	analytical	ADJ
ejpam-5013	132	59	solutions	solution	NOUN
ejpam-5013	132	60	of	of	ADP
ejpam-5013	132	61	these	these	DET
ejpam-5013	132	62	equations	equation	NOUN
ejpam-5013	132	63	.	.	PUNCT
ejpam-5013	133	1	we	we	PRON
ejpam-5013	133	2	have	have	AUX
ejpam-5013	133	3	applied	apply	VERB
ejpam-5013	133	4	the	the	DET
ejpam-5013	133	5	analytical	analytical	ADJ
ejpam-5013	133	6	solution	solution	NOUN
ejpam-5013	133	7	to	to	ADP
ejpam-5013	133	8	various	various	ADJ
ejpam-5013	133	9	examples	example	NOUN
ejpam-5013	133	10	and	and	CCONJ
ejpam-5013	133	11	provided	provide	VERB
ejpam-5013	133	12	figures	figure	NOUN
ejpam-5013	133	13	that	that	PRON
ejpam-5013	133	14	demonstrate	demonstrate	VERB
ejpam-5013	133	15	a	a	DET
ejpam-5013	133	16	strong	strong	ADJ
ejpam-5013	133	17	agreement	agreement	NOUN
ejpam-5013	133	18	with	with	ADP
ejpam-5013	133	19	the	the	DET
ejpam-5013	133	20	solutions	solution	NOUN
ejpam-5013	133	21	presented	present	VERB
ejpam-5013	133	22	in	in	ADP
ejpam-5013	133	23	the	the	DET
ejpam-5013	133	24	literature	literature	NOUN
ejpam-5013	133	25	.	.	PUNCT
ejpam-5013	134	1	we	we	PRON
ejpam-5013	134	2	plan	plan	VERB
ejpam-5013	134	3	in	in	ADP
ejpam-5013	134	4	a	a	DET
ejpam-5013	134	5	future	future	ADJ
ejpam-5013	134	6	work	work	NOUN
ejpam-5013	134	7	to	to	PART
ejpam-5013	134	8	apply	apply	VERB
ejpam-5013	134	9	caputo	caputo	PROPN
ejpam-5013	134	10	-	-	PUNCT
ejpam-5013	134	11	fabrizio	fabrizio	PROPN
ejpam-5013	134	12	fractional	fractional	ADJ
ejpam-5013	134	13	derivative	derivative	NOUN
ejpam-5013	134	14	and	and	CCONJ
ejpam-5013	134	15	integral	integral	ADJ
ejpam-5013	134	16	on	on	ADP
ejpam-5013	134	17	other	other	ADJ
ejpam-5013	134	18	different	different	ADJ
ejpam-5013	134	19	fractional	fractional	ADJ
ejpam-5013	134	20	differential	differential	ADJ
ejpam-5013	134	21	equations	equation	NOUN
ejpam-5013	134	22	.	.	PUNCT
ejpam-5013	135	1	references	reference	NOUN
ejpam-5013	135	2	[	[	X
ejpam-5013	135	3	1	1	NUM
ejpam-5013	135	4	]	]	PUNCT
ejpam-5013	135	5	rami	rami	PROPN
ejpam-5013	135	6	alahmad	alahmad	PROPN
ejpam-5013	135	7	,	,	PUNCT
ejpam-5013	135	8	qusai	qusai	PROPN
ejpam-5013	135	9	alahmad	alahmad	ADJ
ejpam-5013	135	10	,	,	PUNCT
ejpam-5013	135	11	and	and	CCONJ
ejpam-5013	135	12	ahmad	ahmad	PROPN
ejpam-5013	135	13	abdelhadi	abdelhadi	PROPN
ejpam-5013	135	14	.	.	PUNCT
ejpam-5013	136	1	solution	solution	NOUN
ejpam-5013	136	2	of	of	ADP
ejpam-5013	136	3	fractional	fractional	ADJ
ejpam-5013	136	4	autonomous	autonomous	ADJ
ejpam-5013	136	5	ordinary	ordinary	ADJ
ejpam-5013	136	6	differential	differential	ADJ
ejpam-5013	136	7	equations	equation	NOUN
ejpam-5013	136	8	.	.	PUNCT
ejpam-5013	137	1	2021	2021	NUM
ejpam-5013	137	2	.	.	PUNCT
ejpam-5013	138	1	[	[	X
ejpam-5013	138	2	2	2	NUM
ejpam-5013	138	3	]	]	PUNCT
ejpam-5013	138	4	kilbas	kilbas	PROPN
ejpam-5013	138	5	anatolĭı	anatolĭı	PROPN
ejpam-5013	138	6	aleksandrovich	aleksandrovich	PROPN
ejpam-5013	138	7	,	,	PUNCT
ejpam-5013	138	8	srivastava	srivastava	PROPN
ejpam-5013	138	9	hari	hari	PROPN
ejpam-5013	138	10	m	m	PROPN
ejpam-5013	138	11	,	,	PUNCT
ejpam-5013	138	12	and	and	CCONJ
ejpam-5013	138	13	trujillo	trujillo	PROPN
ejpam-5013	138	14	juan	juan	PROPN
ejpam-5013	138	15	j.	j.	PROPN
ejpam-5013	138	16	theory	theory	PROPN
ejpam-5013	138	17	and	and	CCONJ
ejpam-5013	138	18	applications	application	NOUN
ejpam-5013	138	19	of	of	ADP
ejpam-5013	138	20	fractional	fractional	ADJ
ejpam-5013	138	21	differential	differential	ADJ
ejpam-5013	138	22	equations	equation	NOUN
ejpam-5013	138	23	,	,	PUNCT
ejpam-5013	138	24	volume	volume	NOUN
ejpam-5013	138	25	204	204	NUM
ejpam-5013	138	26	.	.	PUNCT
ejpam-5013	139	1	elsevier	elsevier	NOUN
ejpam-5013	139	2	,	,	PUNCT
ejpam-5013	139	3	2006	2006	NUM
ejpam-5013	139	4	.	.	PUNCT
ejpam-5013	140	1	references	reference	NOUN
ejpam-5013	140	2	381	381	NUM
ejpam-5013	140	3	[	[	X
ejpam-5013	140	4	3	3	NUM
ejpam-5013	140	5	]	]	PUNCT
ejpam-5013	140	6	amal	amal	PROPN
ejpam-5013	140	7	alshabanat	alshabanat	PROPN
ejpam-5013	140	8	,	,	PUNCT
ejpam-5013	140	9	mohamed	mohamed	PROPN
ejpam-5013	140	10	jleli	jleli	PROPN
ejpam-5013	140	11	,	,	PUNCT
ejpam-5013	140	12	sunil	sunil	PROPN
ejpam-5013	140	13	kumar	kumar	PROPN
ejpam-5013	140	14	,	,	PUNCT
ejpam-5013	140	15	and	and	CCONJ
ejpam-5013	140	16	bessem	bessem	NOUN
ejpam-5013	140	17	samet	samet	NOUN
ejpam-5013	140	18	.	.	PUNCT
ejpam-5013	141	1	generalization	generalization	NOUN
ejpam-5013	141	2	of	of	ADP
ejpam-5013	141	3	caputo	caputo	PROPN
ejpam-5013	141	4	-	-	PUNCT
ejpam-5013	141	5	fabrizio	fabrizio	PROPN
ejpam-5013	141	6	fractional	fractional	ADJ
ejpam-5013	141	7	derivative	derivative	NOUN
ejpam-5013	141	8	and	and	CCONJ
ejpam-5013	141	9	applications	application	NOUN
ejpam-5013	141	10	to	to	ADP
ejpam-5013	141	11	electrical	electrical	ADJ
ejpam-5013	141	12	circuits	circuit	NOUN
ejpam-5013	141	13	.	.	PUNCT
ejpam-5013	142	1	frontiers	frontier	NOUN
ejpam-5013	142	2	in	in	ADP
ejpam-5013	142	3	physics	physics	PROPN
ejpam-5013	142	4	,	,	PUNCT
ejpam-5013	142	5	8:64	8:64	NUM
ejpam-5013	142	6	,	,	PUNCT
ejpam-5013	142	7	2020	2020	NUM
ejpam-5013	142	8	.	.	PUNCT
ejpam-5013	143	1	[	[	X
ejpam-5013	143	2	4	4	NUM
ejpam-5013	143	3	]	]	X
ejpam-5013	143	4	i.	i.	NOUN
ejpam-5013	143	5	area	area	PROPN
ejpam-5013	143	6	and	and	CCONJ
ejpam-5013	143	7	j.j	j.j	PROPN
ejpam-5013	143	8	.	.	PROPN
ejpam-5013	143	9	nieto	nieto	PROPN
ejpam-5013	143	10	.	.	PUNCT
ejpam-5013	144	1	power	power	NOUN
ejpam-5013	144	2	series	series	PROPN
ejpam-5013	144	3	solution	solution	NOUN
ejpam-5013	144	4	of	of	ADP
ejpam-5013	144	5	the	the	DET
ejpam-5013	144	6	fractional	fractional	ADJ
ejpam-5013	144	7	logistic	logistic	ADJ
ejpam-5013	144	8	equation	equation	NOUN
ejpam-5013	144	9	.	.	PUNCT
ejpam-5013	145	1	physica	physica	PROPN
ejpam-5013	145	2	a	a	DET
ejpam-5013	145	3	:	:	PUNCT
ejpam-5013	145	4	statistical	statistical	ADJ
ejpam-5013	145	5	mechanics	mechanic	NOUN
ejpam-5013	145	6	and	and	CCONJ
ejpam-5013	145	7	its	its	PRON
ejpam-5013	145	8	applications	application	NOUN
ejpam-5013	145	9	,	,	PUNCT
ejpam-5013	145	10	573:125947	573:125947	NUM
ejpam-5013	145	11	,	,	PUNCT
ejpam-5013	145	12	2021	2021	NUM
ejpam-5013	145	13	.	.	PUNCT
ejpam-5013	146	1	[	[	X
ejpam-5013	146	2	5	5	NUM
ejpam-5013	146	3	]	]	SYM
ejpam-5013	146	4	iván	iván	PROPN
ejpam-5013	146	5	area	area	NOUN
ejpam-5013	146	6	and	and	CCONJ
ejpam-5013	146	7	juan	juan	PROPN
ejpam-5013	146	8	j	j	PROPN
ejpam-5013	146	9	nieto	nieto	PROPN
ejpam-5013	146	10	.	.	PUNCT
ejpam-5013	147	1	fractional	fractional	ADJ
ejpam-5013	147	2	-	-	PUNCT
ejpam-5013	147	3	order	order	NOUN
ejpam-5013	147	4	logistic	logistic	ADJ
ejpam-5013	147	5	differential	differential	NOUN
ejpam-5013	147	6	equation	equation	NOUN
ejpam-5013	147	7	with	with	ADP
ejpam-5013	147	8	mittag	mittag	ADJ
ejpam-5013	147	9	–	–	PUNCT
ejpam-5013	147	10	leffler	leffler	NOUN
ejpam-5013	147	11	-	-	PUNCT
ejpam-5013	147	12	type	type	NOUN
ejpam-5013	147	13	kernel	kernel	NOUN
ejpam-5013	147	14	.	.	PUNCT
ejpam-5013	148	1	fractal	fractal	PROPN
ejpam-5013	148	2	and	and	CCONJ
ejpam-5013	148	3	fractional	fractional	ADJ
ejpam-5013	148	4	,	,	PUNCT
ejpam-5013	148	5	5(4):273	5(4):273	NUM
ejpam-5013	148	6	,	,	PUNCT
ejpam-5013	148	7	2021	2021	NUM
ejpam-5013	148	8	.	.	PUNCT
ejpam-5013	149	1	[	[	X
ejpam-5013	149	2	6	6	NUM
ejpam-5013	149	3	]	]	PUNCT
ejpam-5013	149	4	ahmed	ahmed	PROPN
ejpam-5013	149	5	h	h	PROPN
ejpam-5013	149	6	arnous	arnous	PROPN
ejpam-5013	149	7	,	,	PUNCT
ejpam-5013	149	8	mohammad	mohammad	PROPN
ejpam-5013	149	9	mirzazadeh	mirzazadeh	PROPN
ejpam-5013	149	10	,	,	PUNCT
ejpam-5013	149	11	seithuti	seithuti	PROPN
ejpam-5013	149	12	moshokoa	moshokoa	PROPN
ejpam-5013	149	13	,	,	PUNCT
ejpam-5013	149	14	sarang	sarang	PROPN
ejpam-5013	149	15	medhekar	medhekar	PROPN
ejpam-5013	149	16	,	,	PUNCT
ejpam-5013	149	17	qin	qin	PROPN
ejpam-5013	149	18	zhou	zhou	PROPN
ejpam-5013	149	19	,	,	PUNCT
ejpam-5013	149	20	mohammad	mohammad	PROPN
ejpam-5013	149	21	f	f	PROPN
ejpam-5013	149	22	mahmood	mahmood	PROPN
ejpam-5013	149	23	,	,	PUNCT
ejpam-5013	149	24	anjan	anjan	PROPN
ejpam-5013	149	25	biswas	biswas	PROPN
ejpam-5013	149	26	,	,	PUNCT
ejpam-5013	149	27	and	and	CCONJ
ejpam-5013	149	28	milivoj	milivoj	PROPN
ejpam-5013	149	29	belic	belic	PROPN
ejpam-5013	149	30	.	.	PUNCT
ejpam-5013	150	1	solitons	soliton	NOUN
ejpam-5013	150	2	in	in	ADP
ejpam-5013	150	3	optical	optical	ADJ
ejpam-5013	150	4	metamaterials	metamaterial	NOUN
ejpam-5013	150	5	with	with	ADP
ejpam-5013	150	6	trial	trial	NOUN
ejpam-5013	150	7	solution	solution	NOUN
ejpam-5013	150	8	approach	approach	NOUN
ejpam-5013	150	9	and	and	CCONJ
ejpam-5013	150	10	bäcklund	bäcklund	NOUN
ejpam-5013	150	11	transform	transform	NOUN
ejpam-5013	150	12	of	of	ADP
ejpam-5013	150	13	riccati	riccati	PROPN
ejpam-5013	150	14	equation	equation	NOUN
ejpam-5013	150	15	.	.	PUNCT
ejpam-5013	151	1	journal	journal	PROPN
ejpam-5013	151	2	of	of	ADP
ejpam-5013	151	3	computational	computational	ADJ
ejpam-5013	151	4	and	and	CCONJ
ejpam-5013	151	5	theoretical	theoretical	ADJ
ejpam-5013	151	6	nanoscience	nanoscience	NOUN
ejpam-5013	151	7	,	,	PUNCT
ejpam-5013	151	8	12(12):5940–5948	12(12):5940–5948	NUM
ejpam-5013	151	9	,	,	PUNCT
ejpam-5013	151	10	2015	2015	NUM
ejpam-5013	151	11	.	.	PUNCT
ejpam-5013	152	1	[	[	X
ejpam-5013	152	2	7	7	X
ejpam-5013	152	3	]	]	X
ejpam-5013	152	4	sadia	sadia	PROPN
ejpam-5013	152	5	arshad	arshad	PROPN
ejpam-5013	152	6	,	,	PUNCT
ejpam-5013	152	7	iram	iram	PROPN
ejpam-5013	152	8	saleem	saleem	PROPN
ejpam-5013	152	9	,	,	PUNCT
ejpam-5013	152	10	ali	ali	PROPN
ejpam-5013	152	11	akgül	akgül	PROPN
ejpam-5013	152	12	,	,	PUNCT
ejpam-5013	152	13	jianfei	jianfei	PROPN
ejpam-5013	152	14	huang	huang	PROPN
ejpam-5013	152	15	,	,	PUNCT
ejpam-5013	152	16	yifa	yifa	PROPN
ejpam-5013	152	17	tang	tang	PROPN
ejpam-5013	152	18	,	,	PUNCT
ejpam-5013	152	19	and	and	CCONJ
ejpam-5013	152	20	sayed	say	VERB
ejpam-5013	152	21	m	m	PROPN
ejpam-5013	152	22	eldin	eldin	PROPN
ejpam-5013	152	23	.	.	PUNCT
ejpam-5013	153	1	a	a	DET
ejpam-5013	153	2	novel	novel	ADJ
ejpam-5013	153	3	numerical	numerical	ADJ
ejpam-5013	153	4	method	method	NOUN
ejpam-5013	153	5	for	for	ADP
ejpam-5013	153	6	solving	solve	VERB
ejpam-5013	153	7	the	the	DET
ejpam-5013	153	8	caputo	caputo	PROPN
ejpam-5013	153	9	-	-	PUNCT
ejpam-5013	153	10	fabrizio	fabrizio	PROPN
ejpam-5013	153	11	fractional	fractional	ADJ
ejpam-5013	153	12	differential	differential	NOUN
ejpam-5013	153	13	equation	equation	NOUN
ejpam-5013	153	14	.	.	PUNCT
ejpam-5013	154	1	aims	aim	VERB
ejpam-5013	154	2	math	math	NOUN
ejpam-5013	154	3	,	,	PUNCT
ejpam-5013	154	4	8:9535–9556	8:9535–9556	NUM
ejpam-5013	154	5	,	,	PUNCT
ejpam-5013	154	6	2023	2023	NUM
ejpam-5013	154	7	.	.	PUNCT
ejpam-5013	155	1	[	[	X
ejpam-5013	155	2	8	8	NUM
ejpam-5013	155	3	]	]	X
ejpam-5013	155	4	nourhane	nourhane	PROPN
ejpam-5013	155	5	attia	attia	PROPN
ejpam-5013	155	6	,	,	PUNCT
ejpam-5013	155	7	ali	ali	PROPN
ejpam-5013	155	8	akgül	akgül	PROPN
ejpam-5013	155	9	,	,	PUNCT
ejpam-5013	155	10	djamila	djamila	PROPN
ejpam-5013	155	11	seba	seba	PROPN
ejpam-5013	155	12	,	,	PUNCT
ejpam-5013	155	13	and	and	CCONJ
ejpam-5013	155	14	abdelkader	abdelkader	PROPN
ejpam-5013	155	15	nour	nour	PROPN
ejpam-5013	155	16	.	.	PUNCT
ejpam-5013	156	1	on	on	ADP
ejpam-5013	156	2	solutions	solution	NOUN
ejpam-5013	156	3	of	of	ADP
ejpam-5013	156	4	fractional	fractional	ADJ
ejpam-5013	156	5	logistic	logistic	ADJ
ejpam-5013	156	6	differential	differential	NOUN
ejpam-5013	156	7	equations	equation	NOUN
ejpam-5013	156	8	.	.	PUNCT
ejpam-5013	157	1	[	[	X
ejpam-5013	157	2	9	9	NUM
ejpam-5013	157	3	]	]	X
ejpam-5013	157	4	amin	amin	NOUN
ejpam-5013	157	5	samimi	samimi	PROPN
ejpam-5013	157	6	behbahan	behbahan	PROPN
ejpam-5013	157	7	,	,	PUNCT
ejpam-5013	157	8	as	as	ADP
ejpam-5013	157	9	’	'	PUNCT
ejpam-5013	157	10	ad	ad	NOUN
ejpam-5013	157	11	alizadeh	alizadeh	NOUN
ejpam-5013	157	12	,	,	PUNCT
ejpam-5013	157	13	meysam	meysam	PROPN
ejpam-5013	157	14	mahmoudi	mahmoudi	NOUN
ejpam-5013	157	15	,	,	PUNCT
ejpam-5013	157	16	mahmoud	mahmoud	PROPN
ejpam-5013	157	17	shamsborhan	shamsborhan	PROPN
ejpam-5013	157	18	,	,	PUNCT
ejpam-5013	157	19	tariq	tariq	PROPN
ejpam-5013	157	20	j	j	PROPN
ejpam-5013	157	21	al	al	PROPN
ejpam-5013	157	22	-	-	PUNCT
ejpam-5013	157	23	musawi	musawi	PROPN
ejpam-5013	157	24	,	,	PUNCT
ejpam-5013	157	25	and	and	CCONJ
ejpam-5013	157	26	pooya	pooya	ADJ
ejpam-5013	157	27	pasha	pasha	PROPN
ejpam-5013	157	28	.	.	PUNCT
ejpam-5013	158	1	a	a	DET
ejpam-5013	158	2	new	new	ADJ
ejpam-5013	158	3	adomian	adomian	NOUN
ejpam-5013	158	4	decomposition	decomposition	NOUN
ejpam-5013	158	5	technique	technique	NOUN
ejpam-5013	158	6	for	for	ADP
ejpam-5013	158	7	a	a	DET
ejpam-5013	158	8	thermal	thermal	ADJ
ejpam-5013	158	9	analysis	analysis	NOUN
ejpam-5013	158	10	forced	force	VERB
ejpam-5013	158	11	non	non	ADJ
ejpam-5013	158	12	-	-	ADJ
ejpam-5013	158	13	newtonian	newtonian	ADJ
ejpam-5013	158	14	magnetic	magnetic	ADJ
ejpam-5013	158	15	reiner	reiner	NOUN
ejpam-5013	158	16	-	-	PUNCT
ejpam-5013	158	17	rivlin	rivlin	PROPN
ejpam-5013	158	18	viscoelastic	viscoelastic	ADJ
ejpam-5013	158	19	fluid	fluid	NOUN
ejpam-5013	158	20	flow	flow	NOUN
ejpam-5013	158	21	.	.	PUNCT
ejpam-5013	159	1	alexandria	alexandria	PROPN
ejpam-5013	159	2	engineering	engineering	PROPN
ejpam-5013	159	3	journal	journal	PROPN
ejpam-5013	159	4	,	,	PUNCT
ejpam-5013	159	5	80:48–57	80:48–57	NUM
ejpam-5013	159	6	,	,	PUNCT
ejpam-5013	159	7	2023	2023	NUM
ejpam-5013	159	8	.	.	PUNCT
ejpam-5013	160	1	[	[	X
ejpam-5013	160	2	10	10	NUM
ejpam-5013	160	3	]	]	X
ejpam-5013	160	4	sanjay	sanjay	PROPN
ejpam-5013	160	5	bhatter	bhatter	PROPN
ejpam-5013	160	6	,	,	PUNCT
ejpam-5013	160	7	amit	amit	PROPN
ejpam-5013	160	8	mathur	mathur	PROPN
ejpam-5013	160	9	,	,	PUNCT
ejpam-5013	160	10	devendra	devendra	PROPN
ejpam-5013	160	11	kumar	kumar	PROPN
ejpam-5013	160	12	,	,	PUNCT
ejpam-5013	160	13	and	and	CCONJ
ejpam-5013	160	14	jagdev	jagdev	PROPN
ejpam-5013	160	15	singh	singh	PROPN
ejpam-5013	160	16	.	.	PUNCT
ejpam-5013	161	1	a	a	DET
ejpam-5013	161	2	new	new	ADJ
ejpam-5013	161	3	analysis	analysis	NOUN
ejpam-5013	161	4	of	of	ADP
ejpam-5013	161	5	fractional	fractional	ADJ
ejpam-5013	161	6	drinfeld	drinfeld	VERB
ejpam-5013	161	7	–	–	PUNCT
ejpam-5013	161	8	sokolov	sokolov	PROPN
ejpam-5013	161	9	–	–	PUNCT
ejpam-5013	161	10	wilson	wilson	PROPN
ejpam-5013	161	11	model	model	NOUN
ejpam-5013	161	12	with	with	ADP
ejpam-5013	161	13	exponential	exponential	ADJ
ejpam-5013	161	14	memory	memory	NOUN
ejpam-5013	161	15	.	.	PUNCT
ejpam-5013	162	1	physica	physica	PROPN
ejpam-5013	162	2	a	a	DET
ejpam-5013	162	3	:	:	PUNCT
ejpam-5013	162	4	statistical	statistical	ADJ
ejpam-5013	162	5	mechanics	mechanic	NOUN
ejpam-5013	162	6	and	and	CCONJ
ejpam-5013	162	7	its	its	PRON
ejpam-5013	162	8	applications	application	NOUN
ejpam-5013	162	9	,	,	PUNCT
ejpam-5013	162	10	537:122578	537:122578	NUM
ejpam-5013	162	11	,	,	PUNCT
ejpam-5013	162	12	2020	2020	NUM
ejpam-5013	162	13	.	.	PUNCT
ejpam-5013	163	1	[	[	X
ejpam-5013	163	2	11	11	NUM
ejpam-5013	163	3	]	]	PUNCT
ejpam-5013	163	4	haifa	haifa	PROPN
ejpam-5013	163	5	bin	bin	PROPN
ejpam-5013	163	6	jebreen	jebreen	PROPN
ejpam-5013	163	7	and	and	CCONJ
ejpam-5013	163	8	ioannis	ioannis	PROPN
ejpam-5013	163	9	dassios	dassio	NOUN
ejpam-5013	163	10	.	.	PUNCT
ejpam-5013	164	1	a	a	DET
ejpam-5013	164	2	biorthogonal	biorthogonal	ADJ
ejpam-5013	164	3	hermite	hermite	ADJ
ejpam-5013	164	4	cubic	cubic	ADJ
ejpam-5013	164	5	spline	spline	PROPN
ejpam-5013	164	6	galerkin	galerkin	PROPN
ejpam-5013	164	7	method	method	NOUN
ejpam-5013	164	8	for	for	ADP
ejpam-5013	164	9	solving	solve	VERB
ejpam-5013	164	10	fractional	fractional	ADJ
ejpam-5013	164	11	riccati	riccati	NOUN
ejpam-5013	164	12	equation	equation	NOUN
ejpam-5013	164	13	.	.	PUNCT
ejpam-5013	165	1	mathematics	mathematic	NOUN
ejpam-5013	165	2	,	,	PUNCT
ejpam-5013	165	3	10(9):1461	10(9):1461	NUM
ejpam-5013	165	4	,	,	PUNCT
ejpam-5013	165	5	2022	2022	NUM
ejpam-5013	165	6	.	.	PUNCT
ejpam-5013	166	1	[	[	X
ejpam-5013	166	2	12	12	NUM
ejpam-5013	166	3	]	]	X
ejpam-5013	166	4	michele	michele	PROPN
ejpam-5013	166	5	caputo	caputo	PROPN
ejpam-5013	166	6	and	and	CCONJ
ejpam-5013	166	7	mauro	mauro	PROPN
ejpam-5013	166	8	fabrizio	fabrizio	PROPN
ejpam-5013	166	9	.	.	PUNCT
ejpam-5013	167	1	a	a	DET
ejpam-5013	167	2	new	new	ADJ
ejpam-5013	167	3	definition	definition	NOUN
ejpam-5013	167	4	of	of	ADP
ejpam-5013	167	5	fractional	fractional	ADJ
ejpam-5013	167	6	derivative	derivative	NOUN
ejpam-5013	167	7	without	without	ADP
ejpam-5013	167	8	singular	singular	ADJ
ejpam-5013	167	9	kernel	kernel	PROPN
ejpam-5013	167	10	.	.	PUNCT
ejpam-5013	168	1	progress	progress	NOUN
ejpam-5013	168	2	in	in	ADP
ejpam-5013	168	3	fractional	fractional	ADJ
ejpam-5013	168	4	differentiation	differentiation	NOUN
ejpam-5013	168	5	&	&	CCONJ
ejpam-5013	168	6	applications	application	NOUN
ejpam-5013	168	7	,	,	PUNCT
ejpam-5013	168	8	1(2):73–85	1(2):73–85	NUM
ejpam-5013	168	9	,	,	PUNCT
ejpam-5013	168	10	2015	2015	NUM
ejpam-5013	168	11	.	.	PUNCT
ejpam-5013	169	1	[	[	X
ejpam-5013	169	2	13	13	NUM
ejpam-5013	169	3	]	]	X
ejpam-5013	169	4	michele	michele	PROPN
ejpam-5013	169	5	caputo	caputo	PROPN
ejpam-5013	169	6	and	and	CCONJ
ejpam-5013	169	7	mauro	mauro	PROPN
ejpam-5013	169	8	fabrizio	fabrizio	PROPN
ejpam-5013	169	9	.	.	PUNCT
ejpam-5013	170	1	applications	application	NOUN
ejpam-5013	170	2	of	of	ADP
ejpam-5013	170	3	new	new	ADJ
ejpam-5013	170	4	time	time	NOUN
ejpam-5013	170	5	and	and	CCONJ
ejpam-5013	170	6	spatial	spatial	ADJ
ejpam-5013	170	7	fractional	fractional	ADJ
ejpam-5013	170	8	derivatives	derivative	NOUN
ejpam-5013	170	9	with	with	ADP
ejpam-5013	170	10	exponential	exponential	ADJ
ejpam-5013	170	11	kernels	kernel	NOUN
ejpam-5013	170	12	.	.	PUNCT
ejpam-5013	171	1	progress	progress	NOUN
ejpam-5013	171	2	in	in	ADP
ejpam-5013	171	3	fractional	fractional	ADJ
ejpam-5013	171	4	differentiation	differentiation	NOUN
ejpam-5013	171	5	&	&	CCONJ
ejpam-5013	171	6	applications	application	NOUN
ejpam-5013	171	7	,	,	PUNCT
ejpam-5013	171	8	2(1):1–11	2(1):1–11	NUM
ejpam-5013	171	9	,	,	PUNCT
ejpam-5013	171	10	2016	2016	NUM
ejpam-5013	171	11	.	.	PUNCT
ejpam-5013	172	1	[	[	X
ejpam-5013	172	2	14	14	NUM
ejpam-5013	172	3	]	]	X
ejpam-5013	172	4	michele	michele	PROPN
ejpam-5013	172	5	caputo	caputo	PROPN
ejpam-5013	172	6	and	and	CCONJ
ejpam-5013	172	7	mauro	mauro	PROPN
ejpam-5013	172	8	fabrizio	fabrizio	PROPN
ejpam-5013	172	9	.	.	PUNCT
ejpam-5013	173	1	on	on	ADP
ejpam-5013	173	2	the	the	DET
ejpam-5013	173	3	singular	singular	ADJ
ejpam-5013	173	4	kernels	kernel	NOUN
ejpam-5013	173	5	for	for	ADP
ejpam-5013	173	6	fractional	fractional	ADJ
ejpam-5013	173	7	derivatives	derivative	NOUN
ejpam-5013	173	8	.	.	PUNCT
ejpam-5013	174	1	some	some	DET
ejpam-5013	174	2	applications	application	NOUN
ejpam-5013	174	3	to	to	ADP
ejpam-5013	174	4	partial	partial	ADJ
ejpam-5013	174	5	differential	differential	NOUN
ejpam-5013	174	6	equations	equation	NOUN
ejpam-5013	174	7	.	.	PUNCT
ejpam-5013	175	1	progr	progr	NOUN
ejpam-5013	175	2	.	.	PUNCT
ejpam-5013	176	1	fract	fract	PROPN
ejpam-5013	176	2	.	.	PUNCT
ejpam-5013	177	1	differ	differ	VERB
ejpam-5013	177	2	.	.	PUNCT
ejpam-5013	178	1	appl	appl	PROPN
ejpam-5013	178	2	,	,	PUNCT
ejpam-5013	178	3	7(2):1	7(2):1	PROPN
ejpam-5013	178	4	–	–	PUNCT
ejpam-5013	178	5	4	4	NUM
ejpam-5013	178	6	,	,	PUNCT
ejpam-5013	178	7	2021	2021	NUM
ejpam-5013	178	8	.	.	PUNCT
ejpam-5013	179	1	references	reference	NOUN
ejpam-5013	179	2	382	382	NUM
ejpam-5013	179	3	[	[	X
ejpam-5013	179	4	15	15	NUM
ejpam-5013	179	5	]	]	X
ejpam-5013	179	6	youness	youness	NOUN
ejpam-5013	179	7	chatibi	chatibi	NOUN
ejpam-5013	179	8	,	,	PUNCT
ejpam-5013	179	9	el	el	PROPN
ejpam-5013	179	10	hassan	hassan	PROPN
ejpam-5013	179	11	el	el	PROPN
ejpam-5013	179	12	kinani	kinani	PROPN
ejpam-5013	179	13	,	,	PUNCT
ejpam-5013	179	14	and	and	CCONJ
ejpam-5013	179	15	abdelaziz	abdelaziz	PROPN
ejpam-5013	179	16	ouhadan	ouhadan	PROPN
ejpam-5013	179	17	.	.	PROPN
ejpam-5013	180	1	lie	lie	PROPN
ejpam-5013	180	2	symmetry	symmetry	NOUN
ejpam-5013	180	3	analysis	analysis	NOUN
ejpam-5013	180	4	and	and	CCONJ
ejpam-5013	180	5	conservation	conservation	NOUN
ejpam-5013	180	6	laws	law	NOUN
ejpam-5013	180	7	for	for	ADP
ejpam-5013	180	8	the	the	DET
ejpam-5013	180	9	time	time	NOUN
ejpam-5013	180	10	fractional	fractional	ADJ
ejpam-5013	180	11	black	black	ADJ
ejpam-5013	180	12	–	–	PUNCT
ejpam-5013	180	13	scholes	schole	NOUN
ejpam-5013	180	14	equation	equation	NOUN
ejpam-5013	180	15	.	.	PUNCT
ejpam-5013	181	1	international	international	ADJ
ejpam-5013	181	2	journal	journal	NOUN
ejpam-5013	181	3	of	of	ADP
ejpam-5013	181	4	geometric	geometric	ADJ
ejpam-5013	181	5	methods	method	NOUN
ejpam-5013	181	6	in	in	ADP
ejpam-5013	181	7	modern	modern	ADJ
ejpam-5013	181	8	physics	physic	NOUN
ejpam-5013	181	9	,	,	PUNCT
ejpam-5013	181	10	17(01):2050010	17(01):2050010	NUM
ejpam-5013	181	11	,	,	PUNCT
ejpam-5013	181	12	2020	2020	NUM
ejpam-5013	181	13	.	.	PUNCT
ejpam-5013	182	1	[	[	X
ejpam-5013	182	2	16	16	NUM
ejpam-5013	182	3	]	]	X
ejpam-5013	182	4	youness	youness	NOUN
ejpam-5013	182	5	chatibi	chatibi	NOUN
ejpam-5013	182	6	,	,	PUNCT
ejpam-5013	182	7	el	el	PROPN
ejpam-5013	182	8	hassan	hassan	PROPN
ejpam-5013	182	9	el	el	PROPN
ejpam-5013	182	10	kinani	kinani	PROPN
ejpam-5013	182	11	,	,	PUNCT
ejpam-5013	182	12	and	and	CCONJ
ejpam-5013	182	13	abdelaziz	abdelaziz	PROPN
ejpam-5013	182	14	ouhadan	ouhadan	PROPN
ejpam-5013	182	15	.	.	PUNCT
ejpam-5013	183	1	on	on	ADP
ejpam-5013	183	2	the	the	DET
ejpam-5013	183	3	discrete	discrete	ADJ
ejpam-5013	183	4	symmetry	symmetry	NOUN
ejpam-5013	183	5	analysis	analysis	NOUN
ejpam-5013	183	6	of	of	ADP
ejpam-5013	183	7	some	some	DET
ejpam-5013	183	8	classical	classical	ADJ
ejpam-5013	183	9	and	and	CCONJ
ejpam-5013	183	10	fractional	fractional	ADJ
ejpam-5013	183	11	differential	differential	ADJ
ejpam-5013	183	12	equations	equation	NOUN
ejpam-5013	183	13	.	.	PUNCT
ejpam-5013	184	1	mathematical	mathematical	ADJ
ejpam-5013	184	2	methods	method	NOUN
ejpam-5013	184	3	in	in	ADP
ejpam-5013	184	4	the	the	DET
ejpam-5013	184	5	applied	apply	VERB
ejpam-5013	184	6	sciences	science	NOUN
ejpam-5013	184	7	,	,	PUNCT
ejpam-5013	184	8	44(4):2868–2878	44(4):2868–2878	NUM
ejpam-5013	184	9	,	,	PUNCT
ejpam-5013	184	10	2021	2021	NUM
ejpam-5013	184	11	.	.	PUNCT
ejpam-5013	185	1	[	[	X
ejpam-5013	185	2	17	17	NUM
ejpam-5013	185	3	]	]	X
ejpam-5013	185	4	youness	youness	NOUN
ejpam-5013	185	5	chatibi	chatibi	NOUN
ejpam-5013	185	6	,	,	PUNCT
ejpam-5013	185	7	abdelaziz	abdelaziz	PROPN
ejpam-5013	185	8	ouhadan	ouhadan	PROPN
ejpam-5013	185	9	,	,	PUNCT
ejpam-5013	185	10	et	et	PROPN
ejpam-5013	185	11	al	al	PROPN
ejpam-5013	185	12	.	.	PROPN
ejpam-5013	185	13	continuous	continuous	ADJ
ejpam-5013	185	14	and	and	CCONJ
ejpam-5013	185	15	discrete	discrete	ADJ
ejpam-5013	185	16	symmetry	symmetry	NOUN
ejpam-5013	185	17	methods	method	NOUN
ejpam-5013	185	18	for	for	ADP
ejpam-5013	185	19	fractional	fractional	ADJ
ejpam-5013	185	20	differential	differential	ADJ
ejpam-5013	185	21	equations	equation	NOUN
ejpam-5013	185	22	.	.	PUNCT
ejpam-5013	186	1	in	in	ADP
ejpam-5013	186	2	fractional	fractional	ADJ
ejpam-5013	186	3	-	-	PUNCT
ejpam-5013	186	4	order	order	NOUN
ejpam-5013	186	5	modeling	modeling	NOUN
ejpam-5013	186	6	of	of	ADP
ejpam-5013	186	7	dynamic	dynamic	ADJ
ejpam-5013	186	8	systems	system	NOUN
ejpam-5013	186	9	with	with	ADP
ejpam-5013	186	10	applications	application	NOUN
ejpam-5013	186	11	in	in	ADP
ejpam-5013	186	12	optimization	optimization	NOUN
ejpam-5013	186	13	,	,	PUNCT
ejpam-5013	186	14	signal	signal	NOUN
ejpam-5013	186	15	processing	processing	NOUN
ejpam-5013	186	16	and	and	CCONJ
ejpam-5013	186	17	control	control	NOUN
ejpam-5013	186	18	,	,	PUNCT
ejpam-5013	186	19	pages	page	NOUN
ejpam-5013	186	20	1	1	NUM
ejpam-5013	186	21	–	–	PUNCT
ejpam-5013	186	22	35	35	NUM
ejpam-5013	186	23	.	.	PUNCT
ejpam-5013	186	24	elsevier	elsevier	NOUN
ejpam-5013	186	25	,	,	PUNCT
ejpam-5013	186	26	2022	2022	NUM
ejpam-5013	186	27	.	.	PUNCT
ejpam-5013	187	1	[	[	X
ejpam-5013	187	2	18	18	NUM
ejpam-5013	187	3	]	]	PUNCT
ejpam-5013	187	4	zhoujin	zhoujin	PROPN
ejpam-5013	187	5	cui	cui	PROPN
ejpam-5013	187	6	.	.	PUNCT
ejpam-5013	188	1	solutions	solution	NOUN
ejpam-5013	188	2	of	of	ADP
ejpam-5013	188	3	some	some	DET
ejpam-5013	188	4	typical	typical	ADJ
ejpam-5013	188	5	nonlinear	nonlinear	ADJ
ejpam-5013	188	6	differential	differential	ADJ
ejpam-5013	188	7	equations	equation	NOUN
ejpam-5013	188	8	with	with	ADP
ejpam-5013	188	9	caputofabrizio	caputofabrizio	PROPN
ejpam-5013	188	10	fractional	fractional	ADJ
ejpam-5013	188	11	derivative	derivative	NOUN
ejpam-5013	188	12	.	.	PUNCT
ejpam-5013	189	1	aims	aim	VERB
ejpam-5013	189	2	math	math	NOUN
ejpam-5013	189	3	,	,	PUNCT
ejpam-5013	189	4	7(8):14139–14153	7(8):14139–14153	NUM
ejpam-5013	189	5	,	,	PUNCT
ejpam-5013	189	6	2022	2022	NUM
ejpam-5013	189	7	.	.	PUNCT
ejpam-5013	190	1	[	[	X
ejpam-5013	190	2	19	19	NUM
ejpam-5013	190	3	]	]	X
ejpam-5013	190	4	kai	kai	PROPN
ejpam-5013	190	5	diethelm	diethelm	PROPN
ejpam-5013	190	6	and	and	CCONJ
ejpam-5013	190	7	neville	neville	PROPN
ejpam-5013	190	8	j	j	PROPN
ejpam-5013	190	9	ford	ford	PROPN
ejpam-5013	190	10	.	.	PUNCT
ejpam-5013	191	1	analysis	analysis	NOUN
ejpam-5013	191	2	of	of	ADP
ejpam-5013	191	3	fractional	fractional	ADJ
ejpam-5013	191	4	differential	differential	ADJ
ejpam-5013	191	5	equations	equation	NOUN
ejpam-5013	191	6	.	.	PUNCT
ejpam-5013	192	1	journal	journal	PROPN
ejpam-5013	192	2	of	of	ADP
ejpam-5013	192	3	mathematical	mathematical	ADJ
ejpam-5013	192	4	analysis	analysis	NOUN
ejpam-5013	192	5	and	and	CCONJ
ejpam-5013	192	6	applications	application	NOUN
ejpam-5013	192	7	,	,	PUNCT
ejpam-5013	192	8	265(2):229–248	265(2):229–248	NUM
ejpam-5013	192	9	,	,	PUNCT
ejpam-5013	192	10	2002	2002	NUM
ejpam-5013	192	11	.	.	PUNCT
ejpam-5013	193	1	[	[	X
ejpam-5013	193	2	20	20	NUM
ejpam-5013	193	3	]	]	PUNCT
ejpam-5013	193	4	aristide	aristide	PROPN
ejpam-5013	193	5	halanay	halanay	PROPN
ejpam-5013	193	6	and	and	CCONJ
ejpam-5013	193	7	vlad	vlad	VERB
ejpam-5013	193	8	ionescu	ionescu	PROPN
ejpam-5013	193	9	.	.	PUNCT
ejpam-5013	194	1	time	time	NOUN
ejpam-5013	194	2	-	-	PUNCT
ejpam-5013	194	3	varying	vary	VERB
ejpam-5013	194	4	discrete	discrete	ADJ
ejpam-5013	194	5	linear	linear	NOUN
ejpam-5013	194	6	systems	system	NOUN
ejpam-5013	194	7	:	:	PUNCT
ejpam-5013	194	8	input	input	NOUN
ejpam-5013	194	9	-	-	PUNCT
ejpam-5013	194	10	output	output	NOUN
ejpam-5013	194	11	operators	operator	NOUN
ejpam-5013	194	12	.	.	PUNCT
ejpam-5013	195	1	riccati	riccati	PROPN
ejpam-5013	195	2	equations	equation	NOUN
ejpam-5013	195	3	.	.	PUNCT
ejpam-5013	196	1	disturbance	disturbance	NOUN
ejpam-5013	196	2	attenuation	attenuation	NOUN
ejpam-5013	196	3	,	,	PUNCT
ejpam-5013	196	4	volume	volume	NOUN
ejpam-5013	196	5	68	68	NUM
ejpam-5013	196	6	.	.	PUNCT
ejpam-5013	196	7	birkhäuser	birkhäuser	NOUN
ejpam-5013	196	8	,	,	PUNCT
ejpam-5013	196	9	2012	2012	NUM
ejpam-5013	196	10	.	.	PUNCT
ejpam-5013	197	1	[	[	X
ejpam-5013	197	2	21	21	NUM
ejpam-5013	197	3	]	]	X
ejpam-5013	197	4	ishak	ishak	PROPN
ejpam-5013	197	5	hashim	hashim	PROPN
ejpam-5013	197	6	,	,	PUNCT
ejpam-5013	197	7	o	o	PROPN
ejpam-5013	197	8	abdulaziz	abdulaziz	PROPN
ejpam-5013	197	9	,	,	PUNCT
ejpam-5013	197	10	and	and	CCONJ
ejpam-5013	197	11	s	s	VERB
ejpam-5013	197	12	momani	momani	NOUN
ejpam-5013	197	13	.	.	PUNCT
ejpam-5013	198	1	homotopy	homotopy	VERB
ejpam-5013	198	2	analysis	analysis	NOUN
ejpam-5013	198	3	method	method	NOUN
ejpam-5013	198	4	for	for	ADP
ejpam-5013	198	5	fractional	fractional	ADJ
ejpam-5013	198	6	ivps	ivps	PROPN
ejpam-5013	198	7	.	.	PUNCT
ejpam-5013	199	1	communications	communication	NOUN
ejpam-5013	199	2	in	in	ADP
ejpam-5013	199	3	nonlinear	nonlinear	ADJ
ejpam-5013	199	4	science	science	NOUN
ejpam-5013	199	5	and	and	CCONJ
ejpam-5013	199	6	numerical	numerical	PROPN
ejpam-5013	199	7	simulation	simulation	PROPN
ejpam-5013	199	8	,	,	PUNCT
ejpam-5013	199	9	14(3):674	14(3):674	NUM
ejpam-5013	199	10	–	–	PUNCT
ejpam-5013	199	11	684	684	NUM
ejpam-5013	199	12	,	,	PUNCT
ejpam-5013	199	13	2009	2009	NUM
ejpam-5013	199	14	.	.	PUNCT
ejpam-5013	200	1	[	[	X
ejpam-5013	200	2	22	22	NUM
ejpam-5013	200	3	]	]	PUNCT
ejpam-5013	200	4	shaheed	shaheed	NOUN
ejpam-5013	200	5	n	n	X
ejpam-5013	200	6	huseen	huseen	NOUN
ejpam-5013	200	7	.	.	PUNCT
ejpam-5013	201	1	series	series	PROPN
ejpam-5013	201	2	solutions	solution	NOUN
ejpam-5013	201	3	of	of	ADP
ejpam-5013	201	4	fractional	fractional	ADJ
ejpam-5013	201	5	initial	initial	ADJ
ejpam-5013	201	6	-	-	PUNCT
ejpam-5013	201	7	value	value	NOUN
ejpam-5013	201	8	problems	problem	NOUN
ejpam-5013	201	9	by	by	ADP
ejpam-5013	201	10	q	q	NOUN
ejpam-5013	201	11	-	-	PUNCT
ejpam-5013	201	12	homotopy	homotopy	NOUN
ejpam-5013	201	13	analysis	analysis	NOUN
ejpam-5013	201	14	method	method	NOUN
ejpam-5013	201	15	.	.	PUNCT
ejpam-5013	202	1	international	international	ADJ
ejpam-5013	202	2	journal	journal	NOUN
ejpam-5013	202	3	of	of	ADP
ejpam-5013	202	4	innovative	innovative	ADJ
ejpam-5013	202	5	science	science	NOUN
ejpam-5013	202	6	,	,	PUNCT
ejpam-5013	202	7	engineering	engineering	NOUN
ejpam-5013	202	8	&	&	CCONJ
ejpam-5013	202	9	technology	technology	NOUN
ejpam-5013	202	10	,	,	PUNCT
ejpam-5013	202	11	3(1	3(1	NUM
ejpam-5013	202	12	)	)	PUNCT
ejpam-5013	202	13	,	,	PUNCT
ejpam-5013	202	14	2016	2016	NUM
ejpam-5013	202	15	.	.	PUNCT
ejpam-5013	203	1	[	[	X
ejpam-5013	203	2	23	23	NUM
ejpam-5013	203	3	]	]	X
ejpam-5013	203	4	rui	rui	PROPN
ejpam-5013	203	5	jin	jin	PROPN
ejpam-5013	203	6	and	and	CCONJ
ejpam-5013	203	7	linjun	linjun	PROPN
ejpam-5013	203	8	wang	wang	PROPN
ejpam-5013	203	9	.	.	PUNCT
ejpam-5013	204	1	generalized	generalize	VERB
ejpam-5013	204	2	bell	bell	NOUN
ejpam-5013	204	3	collocation	collocation	NOUN
ejpam-5013	204	4	method	method	NOUN
ejpam-5013	204	5	to	to	PART
ejpam-5013	204	6	solve	solve	VERB
ejpam-5013	204	7	fractional	fractional	ADJ
ejpam-5013	204	8	riccati	riccati	PROPN
ejpam-5013	204	9	differential	differential	PROPN
ejpam-5013	204	10	equations	equation	NOUN
ejpam-5013	204	11	.	.	PUNCT
ejpam-5013	205	1	iaeng	iaeng	PROPN
ejpam-5013	205	2	international	international	PROPN
ejpam-5013	205	3	journal	journal	PROPN
ejpam-5013	205	4	of	of	ADP
ejpam-5013	205	5	applied	apply	VERB
ejpam-5013	205	6	mathematics	mathematic	NOUN
ejpam-5013	205	7	,	,	PUNCT
ejpam-5013	205	8	53(1):1–7	53(1):1–7	NUM
ejpam-5013	205	9	,	,	PUNCT
ejpam-5013	205	10	2023	2023	NUM
ejpam-5013	205	11	.	.	PUNCT
ejpam-5013	206	1	[	[	X
ejpam-5013	206	2	24	24	NUM
ejpam-5013	206	3	]	]	X
ejpam-5013	206	4	sagar	sagar	NOUN
ejpam-5013	206	5	r	r	NOUN
ejpam-5013	206	6	khirsariya	khirsariya	PROPN
ejpam-5013	206	7	and	and	CCONJ
ejpam-5013	206	8	snehal	snehal	VERB
ejpam-5013	206	9	b	b	PROPN
ejpam-5013	206	10	rao	rao	PROPN
ejpam-5013	206	11	.	.	PUNCT
ejpam-5013	207	1	on	on	ADP
ejpam-5013	207	2	the	the	DET
ejpam-5013	207	3	semi	semi	ADJ
ejpam-5013	207	4	-	-	ADJ
ejpam-5013	207	5	analytic	analytic	ADJ
ejpam-5013	207	6	technique	technique	NOUN
ejpam-5013	207	7	to	to	PART
ejpam-5013	207	8	deal	deal	VERB
ejpam-5013	207	9	with	with	ADP
ejpam-5013	207	10	nonlinear	nonlinear	ADJ
ejpam-5013	207	11	fractional	fractional	ADJ
ejpam-5013	207	12	differential	differential	ADJ
ejpam-5013	207	13	equations	equation	NOUN
ejpam-5013	207	14	.	.	PUNCT
ejpam-5013	208	1	journal	journal	PROPN
ejpam-5013	208	2	of	of	ADP
ejpam-5013	208	3	applied	apply	VERB
ejpam-5013	208	4	mathematics	mathematic	NOUN
ejpam-5013	208	5	and	and	CCONJ
ejpam-5013	208	6	computational	computational	ADJ
ejpam-5013	208	7	mechanics	mechanic	NOUN
ejpam-5013	208	8	,	,	PUNCT
ejpam-5013	208	9	22(1):13–26	22(1):13–26	NUM
ejpam-5013	208	10	,	,	PUNCT
ejpam-5013	208	11	2023	2023	NUM
ejpam-5013	208	12	.	.	PUNCT
ejpam-5013	209	1	[	[	X
ejpam-5013	209	2	25	25	NUM
ejpam-5013	209	3	]	]	X
ejpam-5013	209	4	irena	irena	PROPN
ejpam-5013	209	5	lasiecka	lasiecka	PROPN
ejpam-5013	209	6	and	and	CCONJ
ejpam-5013	209	7	roberto	roberto	PROPN
ejpam-5013	209	8	triggiani	triggiani	PROPN
ejpam-5013	209	9	.	.	PUNCT
ejpam-5013	210	1	differential	differential	PROPN
ejpam-5013	210	2	and	and	CCONJ
ejpam-5013	210	3	algebraic	algebraic	PROPN
ejpam-5013	210	4	riccati	riccati	PROPN
ejpam-5013	210	5	equations	equation	NOUN
ejpam-5013	210	6	with	with	ADP
ejpam-5013	210	7	application	application	NOUN
ejpam-5013	210	8	to	to	ADP
ejpam-5013	210	9	boundary	boundary	ADJ
ejpam-5013	210	10	/	/	SYM
ejpam-5013	210	11	point	point	NOUN
ejpam-5013	210	12	control	control	NOUN
ejpam-5013	210	13	problems	problem	NOUN
ejpam-5013	210	14	:	:	PUNCT
ejpam-5013	210	15	continuous	continuous	ADJ
ejpam-5013	210	16	theory	theory	NOUN
ejpam-5013	210	17	and	and	CCONJ
ejpam-5013	210	18	approximation	approximation	NOUN
ejpam-5013	210	19	theory	theory	NOUN
ejpam-5013	210	20	.	.	PUNCT
ejpam-5013	211	1	springer	springer	NOUN
ejpam-5013	211	2	,	,	PUNCT
ejpam-5013	211	3	1991	1991	NUM
ejpam-5013	211	4	.	.	PUNCT
ejpam-5013	212	1	[	[	X
ejpam-5013	212	2	26	26	NUM
ejpam-5013	212	3	]	]	X
ejpam-5013	212	4	xy	xy	PROPN
ejpam-5013	212	5	li	li	PROPN
ejpam-5013	212	6	,	,	PUNCT
ejpam-5013	212	7	by	by	ADP
ejpam-5013	212	8	wu	wu	PROPN
ejpam-5013	212	9	,	,	PUNCT
ejpam-5013	212	10	rt	rt	PROPN
ejpam-5013	212	11	wang	wang	PROPN
ejpam-5013	212	12	,	,	PUNCT
ejpam-5013	212	13	et	et	PROPN
ejpam-5013	212	14	al	al	PROPN
ejpam-5013	212	15	.	.	PUNCT
ejpam-5013	213	1	reproducing	reproduce	VERB
ejpam-5013	213	2	kernel	kernel	PROPN
ejpam-5013	213	3	method	method	NOUN
ejpam-5013	213	4	for	for	ADP
ejpam-5013	213	5	fractional	fractional	ADJ
ejpam-5013	213	6	riccati	riccati	PROPN
ejpam-5013	213	7	differential	differential	PROPN
ejpam-5013	213	8	equations	equation	NOUN
ejpam-5013	213	9	.	.	PUNCT
ejpam-5013	214	1	in	in	ADP
ejpam-5013	214	2	abstract	abstract	ADJ
ejpam-5013	214	3	and	and	CCONJ
ejpam-5013	214	4	applied	apply	VERB
ejpam-5013	214	5	analysis	analysis	NOUN
ejpam-5013	214	6	,	,	PUNCT
ejpam-5013	214	7	volume	volume	NOUN
ejpam-5013	214	8	2014	2014	NUM
ejpam-5013	214	9	.	.	PUNCT
ejpam-5013	215	1	hindawi	hindawi	ADJ
ejpam-5013	215	2	,	,	PUNCT
ejpam-5013	215	3	2014	2014	NUM
ejpam-5013	215	4	.	.	PUNCT
ejpam-5013	216	1	references	reference	NOUN
ejpam-5013	216	2	383	383	NUM
ejpam-5013	216	3	[	[	X
ejpam-5013	216	4	27	27	NUM
ejpam-5013	216	5	]	]	X
ejpam-5013	216	6	yuanlu	yuanlu	PROPN
ejpam-5013	216	7	li	li	PROPN
ejpam-5013	216	8	,	,	PUNCT
ejpam-5013	216	9	ning	ning	PROPN
ejpam-5013	216	10	sun	sun	PROPN
ejpam-5013	216	11	,	,	PUNCT
ejpam-5013	216	12	bochao	bochao	PROPN
ejpam-5013	216	13	zheng	zheng	PROPN
ejpam-5013	216	14	,	,	PUNCT
ejpam-5013	216	15	qi	qi	PROPN
ejpam-5013	216	16	wang	wang	PROPN
ejpam-5013	216	17	,	,	PUNCT
ejpam-5013	216	18	and	and	CCONJ
ejpam-5013	216	19	yingchao	yingchao	PROPN
ejpam-5013	216	20	zhang	zhang	PROPN
ejpam-5013	216	21	.	.	PUNCT
ejpam-5013	216	22	wavelet	wavelet	PROPN
ejpam-5013	216	23	operational	operational	ADJ
ejpam-5013	216	24	matrix	matrix	NOUN
ejpam-5013	216	25	method	method	NOUN
ejpam-5013	216	26	for	for	ADP
ejpam-5013	216	27	solving	solve	VERB
ejpam-5013	216	28	the	the	DET
ejpam-5013	216	29	riccati	riccati	PROPN
ejpam-5013	216	30	differential	differential	NOUN
ejpam-5013	216	31	equation	equation	NOUN
ejpam-5013	216	32	.	.	PUNCT
ejpam-5013	217	1	communications	communication	NOUN
ejpam-5013	217	2	in	in	ADP
ejpam-5013	217	3	nonlinear	nonlinear	ADJ
ejpam-5013	217	4	science	science	NOUN
ejpam-5013	217	5	and	and	CCONJ
ejpam-5013	217	6	numerical	numerical	PROPN
ejpam-5013	217	7	simulation	simulation	PROPN
ejpam-5013	217	8	,	,	PUNCT
ejpam-5013	217	9	19(3):483–493	19(3):483–493	PROPN
ejpam-5013	217	10	,	,	PUNCT
ejpam-5013	217	11	2014	2014	NUM
ejpam-5013	217	12	.	.	PUNCT
ejpam-5013	218	1	[	[	X
ejpam-5013	218	2	28	28	NUM
ejpam-5013	218	3	]	]	X
ejpam-5013	218	4	yuanlu	yuanlu	PROPN
ejpam-5013	218	5	li	li	PROPN
ejpam-5013	218	6	,	,	PUNCT
ejpam-5013	218	7	ning	ning	PROPN
ejpam-5013	218	8	sun	sun	PROPN
ejpam-5013	218	9	,	,	PUNCT
ejpam-5013	218	10	bochao	bochao	PROPN
ejpam-5013	218	11	zheng	zheng	PROPN
ejpam-5013	218	12	,	,	PUNCT
ejpam-5013	218	13	qi	qi	PROPN
ejpam-5013	218	14	wang	wang	PROPN
ejpam-5013	218	15	,	,	PUNCT
ejpam-5013	218	16	and	and	CCONJ
ejpam-5013	218	17	yingchao	yingchao	PROPN
ejpam-5013	218	18	zhang	zhang	PROPN
ejpam-5013	218	19	.	.	PUNCT
ejpam-5013	218	20	wavelet	wavelet	PROPN
ejpam-5013	218	21	operational	operational	ADJ
ejpam-5013	218	22	matrix	matrix	NOUN
ejpam-5013	218	23	method	method	NOUN
ejpam-5013	218	24	for	for	ADP
ejpam-5013	218	25	solving	solve	VERB
ejpam-5013	218	26	the	the	DET
ejpam-5013	218	27	riccati	riccati	PROPN
ejpam-5013	218	28	differential	differential	NOUN
ejpam-5013	218	29	equation	equation	NOUN
ejpam-5013	218	30	.	.	PUNCT
ejpam-5013	219	1	communications	communication	NOUN
ejpam-5013	219	2	in	in	ADP
ejpam-5013	219	3	nonlinear	nonlinear	ADJ
ejpam-5013	219	4	science	science	NOUN
ejpam-5013	219	5	and	and	CCONJ
ejpam-5013	219	6	numerical	numerical	PROPN
ejpam-5013	219	7	simulation	simulation	PROPN
ejpam-5013	219	8	,	,	PUNCT
ejpam-5013	219	9	19(3):483–493	19(3):483–493	PROPN
ejpam-5013	219	10	,	,	PUNCT
ejpam-5013	219	11	2014	2014	NUM
ejpam-5013	219	12	.	.	PUNCT
ejpam-5013	220	1	[	[	X
ejpam-5013	220	2	29	29	NUM
ejpam-5013	220	3	]	]	PUNCT
ejpam-5013	220	4	jorge	jorge	PROPN
ejpam-5013	220	5	losada	losada	PROPN
ejpam-5013	220	6	and	and	CCONJ
ejpam-5013	220	7	juan	juan	PROPN
ejpam-5013	220	8	j	j	PROPN
ejpam-5013	220	9	nieto	nieto	PROPN
ejpam-5013	220	10	.	.	PUNCT
ejpam-5013	221	1	properties	property	NOUN
ejpam-5013	221	2	of	of	ADP
ejpam-5013	221	3	a	a	DET
ejpam-5013	221	4	new	new	ADJ
ejpam-5013	221	5	fractional	fractional	ADJ
ejpam-5013	221	6	derivative	derivative	NOUN
ejpam-5013	221	7	without	without	ADP
ejpam-5013	221	8	singular	singular	ADJ
ejpam-5013	221	9	kernel	kernel	PROPN
ejpam-5013	221	10	.	.	PUNCT
ejpam-5013	222	1	progr	progr	NOUN
ejpam-5013	222	2	.	.	PUNCT
ejpam-5013	223	1	fract	fract	PROPN
ejpam-5013	223	2	.	.	PUNCT
ejpam-5013	224	1	differ	differ	VERB
ejpam-5013	224	2	.	.	PUNCT
ejpam-5013	225	1	appl	appl	PROPN
ejpam-5013	225	2	,	,	PUNCT
ejpam-5013	225	3	1(2):87–92	1(2):87–92	NUM
ejpam-5013	225	4	,	,	PUNCT
ejpam-5013	225	5	2015	2015	NUM
ejpam-5013	225	6	.	.	PUNCT
ejpam-5013	226	1	[	[	X
ejpam-5013	226	2	30	30	NUM
ejpam-5013	226	3	]	]	X
ejpam-5013	226	4	s	s	PART
ejpam-5013	226	5	katrin	katrin	PROPN
ejpam-5013	226	6	lydia	lydia	PROPN
ejpam-5013	226	7	,	,	PUNCT
ejpam-5013	226	8	m	m	PROPN
ejpam-5013	226	9	mary	mary	PROPN
ejpam-5013	226	10	jancirani	jancirani	PROPN
ejpam-5013	226	11	,	,	PUNCT
ejpam-5013	226	12	and	and	CCONJ
ejpam-5013	226	13	a	a	DET
ejpam-5013	226	14	alphonse	alphonse	NOUN
ejpam-5013	226	15	anitha	anitha	PROPN
ejpam-5013	226	16	.	.	PUNCT
ejpam-5013	227	1	numerical	numerical	ADJ
ejpam-5013	227	2	solution	solution	NOUN
ejpam-5013	227	3	of	of	ADP
ejpam-5013	227	4	nonlinear	nonlinear	ADJ
ejpam-5013	227	5	fractional	fractional	ADJ
ejpam-5013	227	6	differential	differential	NOUN
ejpam-5013	227	7	equations	equation	NOUN
ejpam-5013	227	8	using	use	VERB
ejpam-5013	227	9	kharrat	kharrat	NOUN
ejpam-5013	227	10	-	-	PUNCT
ejpam-5013	227	11	toma	toma	PROPN
ejpam-5013	227	12	iterative	iterative	NOUN
ejpam-5013	227	13	method	method	NOUN
ejpam-5013	227	14	.	.	PUNCT
ejpam-5013	228	1	nveo	nveo	NOUN
ejpam-5013	228	2	-	-	PUNCT
ejpam-5013	228	3	natural	natural	ADJ
ejpam-5013	228	4	volatiles	volatile	NOUN
ejpam-5013	228	5	&	&	CCONJ
ejpam-5013	228	6	essential	essential	ADJ
ejpam-5013	228	7	oils	oil	NOUN
ejpam-5013	228	8	journal	journal	NOUN
ejpam-5013	228	9	—	—	PUNCT
ejpam-5013	228	10	nveo	nveo	PROPN
ejpam-5013	228	11	,	,	PUNCT
ejpam-5013	228	12	pages	page	NOUN
ejpam-5013	228	13	9878–9890	9878–9890	NUM
ejpam-5013	228	14	,	,	PUNCT
ejpam-5013	228	15	2021	2021	NUM
ejpam-5013	228	16	.	.	PUNCT
ejpam-5013	229	1	[	[	X
ejpam-5013	229	2	31	31	NUM
ejpam-5013	229	3	]	]	X
ejpam-5013	229	4	ga	ga	PROPN
ejpam-5013	229	5	mboro	mboro	PROPN
ejpam-5013	229	6	nchama	nchama	PROPN
ejpam-5013	229	7	,	,	PUNCT
ejpam-5013	229	8	ll	ll	PROPN
ejpam-5013	229	9	alfonso	alfonso	PROPN
ejpam-5013	229	10	,	,	PUNCT
ejpam-5013	229	11	al	al	PROPN
ejpam-5013	229	12	mecıas	mecıas	PROPN
ejpam-5013	229	13	,	,	PUNCT
ejpam-5013	229	14	and	and	CCONJ
ejpam-5013	229	15	mr	mr	PROPN
ejpam-5013	229	16	richard	richard	PROPN
ejpam-5013	229	17	.	.	PUNCT
ejpam-5013	230	1	construction	construction	NOUN
ejpam-5013	230	2	of	of	ADP
ejpam-5013	230	3	caputo	caputo	PROPN
ejpam-5013	230	4	-	-	PUNCT
ejpam-5013	230	5	fabrizio	fabrizio	PROPN
ejpam-5013	230	6	fractional	fractional	PROPN
ejpam-5013	230	7	differential	differential	NOUN
ejpam-5013	230	8	mask	mask	NOUN
ejpam-5013	230	9	for	for	ADP
ejpam-5013	230	10	image	image	NOUN
ejpam-5013	230	11	enhancement	enhancement	NOUN
ejpam-5013	230	12	.	.	PUNCT
ejpam-5013	231	1	progress	progress	NOUN
ejpam-5013	231	2	in	in	ADP
ejpam-5013	231	3	fractional	fractional	ADJ
ejpam-5013	231	4	differentiation	differentiation	NOUN
ejpam-5013	231	5	and	and	CCONJ
ejpam-5013	231	6	application	application	NOUN
ejpam-5013	231	7	,	,	PUNCT
ejpam-5013	231	8	2020	2020	NUM
ejpam-5013	231	9	.	.	PUNCT
ejpam-5013	232	1	[	[	X
ejpam-5013	232	2	32	32	NUM
ejpam-5013	232	3	]	]	PUNCT
ejpam-5013	232	4	juan	juan	PROPN
ejpam-5013	232	5	j.	j.	PROPN
ejpam-5013	232	6	nieto	nieto	PROPN
ejpam-5013	232	7	.	.	PUNCT
ejpam-5013	233	1	solution	solution	NOUN
ejpam-5013	233	2	of	of	ADP
ejpam-5013	233	3	a	a	DET
ejpam-5013	233	4	fractional	fractional	ADJ
ejpam-5013	233	5	logistic	logistic	ADJ
ejpam-5013	233	6	ordinary	ordinary	ADJ
ejpam-5013	233	7	differential	differential	ADJ
ejpam-5013	233	8	equation	equation	NOUN
ejpam-5013	233	9	.	.	PUNCT
ejpam-5013	234	1	applied	apply	VERB
ejpam-5013	234	2	mathematics	mathematics	NOUN
ejpam-5013	234	3	letters	letter	NOUN
ejpam-5013	234	4	,	,	PUNCT
ejpam-5013	234	5	123:107568	123:107568	NUM
ejpam-5013	234	6	,	,	PUNCT
ejpam-5013	234	7	2022	2022	NUM
ejpam-5013	234	8	.	.	PUNCT
ejpam-5013	235	1	[	[	X
ejpam-5013	235	2	33	33	NUM
ejpam-5013	235	3	]	]	PUNCT
ejpam-5013	235	4	zaid	zaid	ADJ
ejpam-5013	235	5	odibat	odibat	NOUN
ejpam-5013	235	6	and	and	CCONJ
ejpam-5013	235	7	shaher	shaher	PROPN
ejpam-5013	235	8	momani	momani	PROPN
ejpam-5013	235	9	.	.	PUNCT
ejpam-5013	236	1	modified	modify	VERB
ejpam-5013	236	2	homotopy	homotopy	PROPN
ejpam-5013	236	3	perturbation	perturbation	NOUN
ejpam-5013	236	4	method	method	NOUN
ejpam-5013	236	5	:	:	PUNCT
ejpam-5013	236	6	application	application	NOUN
ejpam-5013	236	7	to	to	ADP
ejpam-5013	236	8	quadratic	quadratic	ADJ
ejpam-5013	236	9	riccati	riccati	NOUN
ejpam-5013	236	10	differential	differential	NOUN
ejpam-5013	236	11	equation	equation	NOUN
ejpam-5013	236	12	of	of	ADP
ejpam-5013	236	13	fractional	fractional	ADJ
ejpam-5013	236	14	order	order	NOUN
ejpam-5013	236	15	.	.	PUNCT
ejpam-5013	237	1	chaos	chaos	NOUN
ejpam-5013	237	2	,	,	PUNCT
ejpam-5013	237	3	solitons	soliton	NOUN
ejpam-5013	237	4	&	&	CCONJ
ejpam-5013	237	5	fractals	fractal	NOUN
ejpam-5013	237	6	,	,	PUNCT
ejpam-5013	237	7	36(1):167–174	36(1):167–174	PROPN
ejpam-5013	237	8	,	,	PUNCT
ejpam-5013	237	9	2008	2008	NUM
ejpam-5013	237	10	.	.	PUNCT
ejpam-5013	238	1	[	[	X
ejpam-5013	238	2	34	34	NUM
ejpam-5013	238	3	]	]	X
ejpam-5013	238	4	igor	igor	NOUN
ejpam-5013	238	5	podlubny	podlubny	PROPN
ejpam-5013	238	6	.	.	PUNCT
ejpam-5013	239	1	fractional	fractional	ADJ
ejpam-5013	239	2	differential	differential	ADJ
ejpam-5013	239	3	equations	equation	NOUN
ejpam-5013	239	4	:	:	PUNCT
ejpam-5013	239	5	an	an	DET
ejpam-5013	239	6	introduction	introduction	NOUN
ejpam-5013	239	7	to	to	ADP
ejpam-5013	239	8	fractional	fractional	ADJ
ejpam-5013	239	9	derivatives	derivative	NOUN
ejpam-5013	239	10	,	,	PUNCT
ejpam-5013	239	11	fractional	fractional	ADJ
ejpam-5013	239	12	differential	differential	ADJ
ejpam-5013	239	13	equations	equation	NOUN
ejpam-5013	239	14	,	,	PUNCT
ejpam-5013	239	15	to	to	ADP
ejpam-5013	239	16	methods	method	NOUN
ejpam-5013	239	17	of	of	ADP
ejpam-5013	239	18	their	their	PRON
ejpam-5013	239	19	solution	solution	NOUN
ejpam-5013	239	20	and	and	CCONJ
ejpam-5013	239	21	some	some	PRON
ejpam-5013	239	22	of	of	ADP
ejpam-5013	239	23	their	their	PRON
ejpam-5013	239	24	applications	application	NOUN
ejpam-5013	239	25	.	.	PUNCT
ejpam-5013	240	1	elsevier	elsevier	NOUN
ejpam-5013	240	2	,	,	PUNCT
ejpam-5013	240	3	1998	1998	NUM
ejpam-5013	240	4	.	.	PUNCT
ejpam-5013	241	1	[	[	X
ejpam-5013	241	2	35	35	NUM
ejpam-5013	241	3	]	]	X
ejpam-5013	241	4	h	h	NOUN
ejpam-5013	241	5	porki	porki	NOUN
ejpam-5013	241	6	,	,	PUNCT
ejpam-5013	241	7	m	m	NOUN
ejpam-5013	241	8	arabameri	arabameri	ADJ
ejpam-5013	241	9	,	,	PUNCT
ejpam-5013	241	10	and	and	CCONJ
ejpam-5013	241	11	r	r	NOUN
ejpam-5013	241	12	gharechahi	gharechahi	NOUN
ejpam-5013	241	13	.	.	PUNCT
ejpam-5013	242	1	numerical	numerical	ADJ
ejpam-5013	242	2	solution	solution	NOUN
ejpam-5013	242	3	of	of	ADP
ejpam-5013	242	4	nonlinear	nonlinear	ADJ
ejpam-5013	242	5	fractional	fractional	PROPN
ejpam-5013	242	6	riccati	riccati	PROPN
ejpam-5013	242	7	differential	differential	NOUN
ejpam-5013	242	8	equations	equation	NOUN
ejpam-5013	242	9	using	use	VERB
ejpam-5013	242	10	compact	compact	ADJ
ejpam-5013	242	11	finite	finite	ADJ
ejpam-5013	242	12	difference	difference	NOUN
ejpam-5013	242	13	method	method	NOUN
ejpam-5013	242	14	.	.	PUNCT
ejpam-5013	243	1	iranian	iranian	ADJ
ejpam-5013	243	2	journal	journal	PROPN
ejpam-5013	243	3	of	of	ADP
ejpam-5013	243	4	numerical	numerical	ADJ
ejpam-5013	243	5	analysis	analysis	NOUN
ejpam-5013	243	6	and	and	CCONJ
ejpam-5013	243	7	optimization	optimization	NOUN
ejpam-5013	243	8	,	,	PUNCT
ejpam-5013	243	9	12(3	12(3	NUM
ejpam-5013	243	10	(	(	PUNCT
ejpam-5013	243	11	special	special	ADJ
ejpam-5013	243	12	issue)-on	issue)-on	NOUN
ejpam-5013	243	13	the	the	DET
ejpam-5013	243	14	occasion	occasion	NOUN
ejpam-5013	243	15	of	of	ADP
ejpam-5013	243	16	the	the	DET
ejpam-5013	243	17	75th	75th	ADJ
ejpam-5013	243	18	birthday	birthday	NOUN
ejpam-5013	243	19	of	of	ADP
ejpam-5013	243	20	professor	professor	NOUN
ejpam-5013	243	21	a.	a.	NOUN
ejpam-5013	243	22	vahidian	vahidian	PROPN
ejpam-5013	243	23	and	and	CCONJ
ejpam-5013	243	24	professor	professor	PROPN
ejpam-5013	243	25	f.	f.	PROPN
ejpam-5013	243	26	toutounian):585–606	toutounian):585–606	PROPN
ejpam-5013	243	27	,	,	PUNCT
ejpam-5013	243	28	2022	2022	NUM
ejpam-5013	243	29	.	.	PUNCT
ejpam-5013	244	1	[	[	X
ejpam-5013	244	2	36	36	NUM
ejpam-5013	244	3	]	]	X
ejpam-5013	244	4	mehmet	mehmet	PROPN
ejpam-5013	244	5	giyas	giyas	PROPN
ejpam-5013	244	6	sakar	sakar	PROPN
ejpam-5013	244	7	,	,	PUNCT
ejpam-5013	244	8	ali	ali	PROPN
ejpam-5013	244	9	akgül	akgül	PROPN
ejpam-5013	244	10	,	,	PUNCT
ejpam-5013	244	11	and	and	CCONJ
ejpam-5013	244	12	dumitru	dumitru	PROPN
ejpam-5013	244	13	baleanu	baleanu	NOUN
ejpam-5013	244	14	.	.	PUNCT
ejpam-5013	245	1	on	on	ADP
ejpam-5013	245	2	solutions	solution	NOUN
ejpam-5013	245	3	of	of	ADP
ejpam-5013	245	4	fractional	fractional	ADJ
ejpam-5013	245	5	riccati	riccati	PROPN
ejpam-5013	245	6	differential	differential	PROPN
ejpam-5013	245	7	equations	equation	NOUN
ejpam-5013	245	8	.	.	PUNCT
ejpam-5013	246	1	advances	advance	NOUN
ejpam-5013	246	2	in	in	ADP
ejpam-5013	246	3	difference	difference	NOUN
ejpam-5013	246	4	equations	equation	NOUN
ejpam-5013	246	5	,	,	PUNCT
ejpam-5013	246	6	2017:1–10	2017:1–10	NUM
ejpam-5013	246	7	,	,	PUNCT
ejpam-5013	246	8	2017	2017	NUM
ejpam-5013	246	9	.	.	PUNCT
ejpam-5013	247	1	[	[	X
ejpam-5013	247	2	37	37	NUM
ejpam-5013	247	3	]	]	SYM
ejpam-5013	247	4	v	v	NOUN
ejpam-5013	247	5	shameema	shameema	ADV
ejpam-5013	247	6	and	and	CCONJ
ejpam-5013	247	7	mc	mc	PROPN
ejpam-5013	247	8	ranjini	ranjini	PROPN
ejpam-5013	247	9	.	.	PUNCT
ejpam-5013	248	1	an	an	DET
ejpam-5013	248	2	operational	operational	ADJ
ejpam-5013	248	3	matrix	matrix	NOUN
ejpam-5013	248	4	method	method	NOUN
ejpam-5013	248	5	for	for	ADP
ejpam-5013	248	6	fractional	fractional	ADJ
ejpam-5013	248	7	differential	differential	ADJ
ejpam-5013	248	8	equations	equation	NOUN
ejpam-5013	248	9	with	with	ADP
ejpam-5013	248	10	non	non	ADJ
ejpam-5013	248	11	-	-	ADJ
ejpam-5013	248	12	singular	singular	ADJ
ejpam-5013	248	13	kernel	kernel	NOUN
ejpam-5013	248	14	.	.	PUNCT
ejpam-5013	249	1	journal	journal	PROPN
ejpam-5013	249	2	of	of	ADP
ejpam-5013	249	3	fractional	fractional	ADJ
ejpam-5013	249	4	calculus	calculus	NOUN
ejpam-5013	249	5	and	and	CCONJ
ejpam-5013	249	6	applications	application	NOUN
ejpam-5013	249	7	,	,	PUNCT
ejpam-5013	249	8	14(1):157–170	14(1):157–170	NUM
ejpam-5013	249	9	,	,	PUNCT
ejpam-5013	249	10	2023	2023	NUM
ejpam-5013	249	11	.	.	PUNCT
ejpam-5013	250	1	[	[	X
ejpam-5013	250	2	38	38	NUM
ejpam-5013	250	3	]	]	PUNCT
ejpam-5013	250	4	nabil	nabil	PROPN
ejpam-5013	250	5	t	t	PROPN
ejpam-5013	250	6	shawagfeh	shawagfeh	PROPN
ejpam-5013	250	7	.	.	PUNCT
ejpam-5013	251	1	analytical	analytical	ADJ
ejpam-5013	251	2	approximate	approximate	ADJ
ejpam-5013	251	3	solutions	solution	NOUN
ejpam-5013	251	4	for	for	ADP
ejpam-5013	251	5	nonlinear	nonlinear	ADJ
ejpam-5013	251	6	fractional	fractional	ADJ
ejpam-5013	251	7	differential	differential	ADJ
ejpam-5013	251	8	equations	equation	NOUN
ejpam-5013	251	9	.	.	PUNCT
ejpam-5013	252	1	applied	apply	VERB
ejpam-5013	252	2	mathematics	mathematic	NOUN
ejpam-5013	252	3	and	and	CCONJ
ejpam-5013	252	4	computation	computation	NOUN
ejpam-5013	252	5	,	,	PUNCT
ejpam-5013	252	6	131(2	131(2	NUM
ejpam-5013	252	7	-	-	SYM
ejpam-5013	252	8	3):517–529	3):517–529	NUM
ejpam-5013	252	9	,	,	PUNCT
ejpam-5013	252	10	2002	2002	NUM
ejpam-5013	252	11	.	.	PUNCT
ejpam-5013	253	1	references	reference	NOUN
ejpam-5013	253	2	384	384	NUM
ejpam-5013	253	3	[	[	X
ejpam-5013	253	4	39	39	NUM
ejpam-5013	253	5	]	]	PUNCT
ejpam-5013	253	6	hongguang	hongguang	PROPN
ejpam-5013	253	7	sun	sun	PROPN
ejpam-5013	253	8	,	,	PUNCT
ejpam-5013	253	9	yong	yong	PROPN
ejpam-5013	253	10	zhang	zhang	PROPN
ejpam-5013	253	11	,	,	PUNCT
ejpam-5013	253	12	dumitru	dumitru	PROPN
ejpam-5013	253	13	baleanu	baleanu	PROPN
ejpam-5013	253	14	,	,	PUNCT
ejpam-5013	253	15	wen	wen	PROPN
ejpam-5013	253	16	chen	chen	PROPN
ejpam-5013	253	17	,	,	PUNCT
ejpam-5013	253	18	and	and	CCONJ
ejpam-5013	253	19	yangquan	yangquan	PROPN
ejpam-5013	253	20	chen	chen	PROPN
ejpam-5013	253	21	.	.	PUNCT
ejpam-5013	254	1	a	a	DET
ejpam-5013	254	2	new	new	ADJ
ejpam-5013	254	3	collection	collection	NOUN
ejpam-5013	254	4	of	of	ADP
ejpam-5013	254	5	real	real	ADJ
ejpam-5013	254	6	world	world	NOUN
ejpam-5013	254	7	applications	application	NOUN
ejpam-5013	254	8	of	of	ADP
ejpam-5013	254	9	fractional	fractional	ADJ
ejpam-5013	254	10	calculus	calculus	NOUN
ejpam-5013	254	11	in	in	ADP
ejpam-5013	254	12	science	science	NOUN
ejpam-5013	254	13	and	and	CCONJ
ejpam-5013	254	14	engineering	engineering	NOUN
ejpam-5013	254	15	.	.	PUNCT
ejpam-5013	255	1	communications	communication	NOUN
ejpam-5013	255	2	in	in	ADP
ejpam-5013	255	3	nonlinear	nonlinear	ADJ
ejpam-5013	255	4	science	science	NOUN
ejpam-5013	255	5	and	and	CCONJ
ejpam-5013	255	6	numerical	numerical	PROPN
ejpam-5013	255	7	simulation	simulation	PROPN
ejpam-5013	255	8	,	,	PUNCT
ejpam-5013	255	9	64:213–231	64:213–231	NUM
ejpam-5013	255	10	,	,	PUNCT
ejpam-5013	255	11	2018	2018	NUM
ejpam-5013	255	12	.	.	PUNCT
ejpam-5013	256	1	[	[	X
ejpam-5013	256	2	40	40	NUM
ejpam-5013	256	3	]	]	PUNCT
ejpam-5013	256	4	muhammed	muhamme	VERB
ejpam-5013	256	5	i	i	PRON
ejpam-5013	256	6	syam	syam	PROPN
ejpam-5013	256	7	,	,	PUNCT
ejpam-5013	256	8	azza	azza	PROPN
ejpam-5013	256	9	alsuwaidi	alsuwaidi	PROPN
ejpam-5013	256	10	,	,	PUNCT
ejpam-5013	256	11	asia	asia	PROPN
ejpam-5013	256	12	alneyadi	alneyadi	PROPN
ejpam-5013	256	13	,	,	PUNCT
ejpam-5013	256	14	safa	safa	PROPN
ejpam-5013	256	15	al	al	PROPN
ejpam-5013	256	16	refai	refai	PROPN
ejpam-5013	256	17	,	,	PUNCT
ejpam-5013	256	18	and	and	CCONJ
ejpam-5013	256	19	sondos	sondos	PROPN
ejpam-5013	256	20	al	al	PROPN
ejpam-5013	256	21	khaldi	khaldi	PROPN
ejpam-5013	256	22	.	.	PUNCT
ejpam-5013	257	1	implicit	implicit	ADJ
ejpam-5013	257	2	hybrid	hybrid	ADJ
ejpam-5013	257	3	methods	method	NOUN
ejpam-5013	257	4	for	for	ADP
ejpam-5013	257	5	solving	solve	VERB
ejpam-5013	257	6	fractional	fractional	ADJ
ejpam-5013	257	7	riccati	riccati	NOUN
ejpam-5013	257	8	equation	equation	NOUN
ejpam-5013	257	9	.	.	PUNCT
ejpam-5013	258	1	j.	j.	PROPN
ejpam-5013	258	2	nonlinear	nonlinear	PROPN
ejpam-5013	258	3	sci	sci	PROPN
ejpam-5013	258	4	.	.	PUNCT
ejpam-5013	258	5	appl	appl	PROPN
ejpam-5013	258	6	,	,	PUNCT
ejpam-5013	258	7	12(2):124–134	12(2):124–134	PROPN
ejpam-5013	258	8	,	,	PUNCT
ejpam-5013	258	9	2019	2019	NUM
ejpam-5013	258	10	.	.	PUNCT
ejpam-5013	259	1	[	[	X
ejpam-5013	259	2	41	41	NUM
ejpam-5013	259	3	]	]	X
ejpam-5013	259	4	ba	ba	NOUN
ejpam-5013	259	5	tayyan	tayyan	ADJ
ejpam-5013	259	6	and	and	CCONJ
ejpam-5013	259	7	ah	ah	INTJ
ejpam-5013	259	8	sakka	sakka	NOUN
ejpam-5013	259	9	.	.	PUNCT
ejpam-5013	260	1	lie	lie	NOUN
ejpam-5013	260	2	symmetry	symmetry	NOUN
ejpam-5013	260	3	analysis	analysis	NOUN
ejpam-5013	260	4	of	of	ADP
ejpam-5013	260	5	some	some	DET
ejpam-5013	260	6	conformable	conformable	ADJ
ejpam-5013	260	7	fractional	fractional	ADJ
ejpam-5013	260	8	partial	partial	ADJ
ejpam-5013	260	9	differential	differential	NOUN
ejpam-5013	260	10	equations	equation	NOUN
ejpam-5013	260	11	.	.	PUNCT
ejpam-5013	261	1	arabian	arabian	ADJ
ejpam-5013	261	2	journal	journal	PROPN
ejpam-5013	261	3	of	of	ADP
ejpam-5013	261	4	mathematics	mathematic	NOUN
ejpam-5013	261	5	,	,	PUNCT
ejpam-5013	261	6	9:201–212	9:201–212	NUM
ejpam-5013	261	7	,	,	PUNCT
ejpam-5013	261	8	2020	2020	NUM
ejpam-5013	261	9	.	.	PUNCT
ejpam-5013	262	1	[	[	X
ejpam-5013	262	2	42	42	NUM
ejpam-5013	262	3	]	]	SYM
ejpam-5013	262	4	rs	rs	PROPN
ejpam-5013	262	5	teppawar	teppawar	PROPN
ejpam-5013	262	6	,	,	PUNCT
ejpam-5013	262	7	rn	rn	PROPN
ejpam-5013	262	8	ingle	ingle	PROPN
ejpam-5013	262	9	,	,	PUNCT
ejpam-5013	262	10	and	and	CCONJ
ejpam-5013	262	11	sn	sn	PROPN
ejpam-5013	262	12	thorat	thorat	NOUN
ejpam-5013	262	13	.	.	PUNCT
ejpam-5013	263	1	some	some	DET
ejpam-5013	263	2	results	result	NOUN
ejpam-5013	263	3	and	and	CCONJ
ejpam-5013	263	4	applications	application	NOUN
ejpam-5013	263	5	on	on	ADP
ejpam-5013	263	6	conformable	conformable	ADJ
ejpam-5013	263	7	fractional	fractional	ADJ
ejpam-5013	263	8	kamal	kamal	PROPN
ejpam-5013	263	9	transform	transform	NOUN
ejpam-5013	263	10	.	.	PUNCT
ejpam-5013	264	1	j.	j.	PROPN
ejpam-5013	264	2	math	math	PROPN
ejpam-5013	264	3	.	.	PUNCT
ejpam-5013	265	1	comput	comput	NOUN
ejpam-5013	265	2	.	.	PUNCT
ejpam-5013	266	1	sci	sci	PROPN
ejpam-5013	266	2	.	.	PROPN
ejpam-5013	266	3	,	,	PUNCT
ejpam-5013	266	4	11(5):6581–6598	11(5):6581–6598	NUM
ejpam-5013	266	5	,	,	PUNCT
ejpam-5013	266	6	2021	2021	NUM
ejpam-5013	266	7	.	.	PUNCT
ejpam-5013	267	1	[	[	X
ejpam-5013	267	2	43	43	NUM
ejpam-5013	267	3	]	]	X
ejpam-5013	267	4	li	li	PROPN
ejpam-5013	267	5	yuanlu	yuanlu	PROPN
ejpam-5013	267	6	.	.	PUNCT
ejpam-5013	268	1	solving	solve	VERB
ejpam-5013	268	2	a	a	DET
ejpam-5013	268	3	nonlinear	nonlinear	ADJ
ejpam-5013	268	4	fractional	fractional	ADJ
ejpam-5013	268	5	differential	differential	NOUN
ejpam-5013	268	6	equation	equation	NOUN
ejpam-5013	268	7	using	use	VERB
ejpam-5013	268	8	chebyshev	chebyshev	NOUN
ejpam-5013	268	9	wavelets	wavelet	NOUN
ejpam-5013	268	10	.	.	PUNCT
ejpam-5013	269	1	communications	communication	NOUN
ejpam-5013	269	2	in	in	ADP
ejpam-5013	269	3	nonlinear	nonlinear	ADJ
ejpam-5013	269	4	science	science	NOUN
ejpam-5013	269	5	and	and	CCONJ
ejpam-5013	269	6	numerical	numerical	PROPN
ejpam-5013	269	7	simulation	simulation	PROPN
ejpam-5013	269	8	,	,	PUNCT
ejpam-5013	269	9	15(9):2284–2292	15(9):2284–2292	NUM
ejpam-5013	269	10	,	,	PUNCT
ejpam-5013	269	11	2010	2010	NUM
ejpam-5013	269	12	.	.	PUNCT
ejpam-5013	270	1	[	[	X
ejpam-5013	270	2	44	44	NUM
ejpam-5013	270	3	]	]	SYM
ejpam-5013	270	4	ri	ri	PROPN
ejpam-5013	270	5	zhang	zhang	PROPN
ejpam-5013	270	6	,	,	PUNCT
ejpam-5013	270	7	nehad	nehad	VERB
ejpam-5013	270	8	ali	ali	PROPN
ejpam-5013	270	9	shah	shah	PROPN
ejpam-5013	270	10	,	,	PUNCT
ejpam-5013	270	11	essam	essam	PROPN
ejpam-5013	270	12	r	r	PROPN
ejpam-5013	270	13	el	el	PROPN
ejpam-5013	270	14	-	-	PUNCT
ejpam-5013	270	15	zahar	zahar	PROPN
ejpam-5013	270	16	,	,	PUNCT
ejpam-5013	270	17	ali	ali	PROPN
ejpam-5013	270	18	akgül	akgül	PROPN
ejpam-5013	270	19	,	,	PUNCT
ejpam-5013	270	20	and	and	CCONJ
ejpam-5013	270	21	jae	jae	PROPN
ejpam-5013	270	22	dong	dong	PROPN
ejpam-5013	270	23	chung	chung	PROPN
ejpam-5013	270	24	.	.	PUNCT
ejpam-5013	271	1	numerical	numerical	ADJ
ejpam-5013	271	2	analysis	analysis	NOUN
ejpam-5013	271	3	of	of	ADP
ejpam-5013	271	4	fractional	fractional	ADJ
ejpam-5013	271	5	-	-	PUNCT
ejpam-5013	271	6	order	order	NOUN
ejpam-5013	271	7	emden	emden	ADJ
ejpam-5013	271	8	–	–	PUNCT
ejpam-5013	271	9	fowler	fowler	PROPN
ejpam-5013	271	10	equations	equation	NOUN
ejpam-5013	271	11	using	use	VERB
ejpam-5013	271	12	modified	modify	VERB
ejpam-5013	271	13	variational	variational	ADJ
ejpam-5013	271	14	iteration	iteration	NOUN
ejpam-5013	271	15	method	method	NOUN
ejpam-5013	271	16	.	.	PUNCT
ejpam-5013	272	1	fractals	fractal	NOUN
ejpam-5013	272	2	,	,	PUNCT
ejpam-5013	272	3	31(02):2340028	31(02):2340028	NUM
ejpam-5013	272	4	,	,	PUNCT
ejpam-5013	272	5	2023	2023	NUM
ejpam-5013	272	6	.	.	PUNCT
ejpam-5013	273	1	[	[	X
ejpam-5013	273	2	45	45	NUM
ejpam-5013	273	3	]	]	PUNCT
ejpam-5013	273	4	eman	eman	NOUN
ejpam-5013	273	5	aa	aa	PROPN
ejpam-5013	273	6	ziada	ziada	PROPN
ejpam-5013	273	7	.	.	PUNCT
ejpam-5013	274	1	analytical	analytical	ADJ
ejpam-5013	274	2	solution	solution	NOUN
ejpam-5013	274	3	of	of	ADP
ejpam-5013	274	4	linear	linear	PROPN
ejpam-5013	274	5	and	and	CCONJ
ejpam-5013	274	6	nonlinear	nonlinear	ADJ
ejpam-5013	274	7	fractional	fractional	ADJ
ejpam-5013	274	8	differential	differential	ADJ
ejpam-5013	274	9	equations	equation	NOUN
ejpam-5013	274	10	.	.	PUNCT
ejpam-5013	275	1	nile	nile	PROPN
ejpam-5013	275	2	journal	journal	PROPN
ejpam-5013	275	3	of	of	ADP
ejpam-5013	275	4	basic	basic	ADJ
ejpam-5013	275	5	science	science	NOUN
ejpam-5013	275	6	,	,	PUNCT
ejpam-5013	275	7	1(1):1–13	1(1):1–13	NUM
ejpam-5013	275	8	,	,	PUNCT
ejpam-5013	275	9	2021	2021	NUM
ejpam-5013	275	10	.	.	PUNCT