id	sid	tid	token	lemma	pos
ejpam-4769	1	1	european	european	PROPN
ejpam-4769	1	2	journal	journal	PROPN
ejpam-4769	1	3	of	of	ADP
ejpam-4769	1	4	pure	pure	ADJ
ejpam-4769	1	5	and	and	CCONJ
ejpam-4769	1	6	applied	apply	VERB
ejpam-4769	1	7	mathematics	mathematic	NOUN
ejpam-4769	1	8	vol	vol	NOUN
ejpam-4769	1	9	.	.	PUNCT
ejpam-4769	2	1	16	16	NUM
ejpam-4769	2	2	,	,	PUNCT
ejpam-4769	2	3	no	no	INTJ
ejpam-4769	2	4	.	.	NOUN
ejpam-4769	2	5	2	2	NUM
ejpam-4769	2	6	,	,	PUNCT
ejpam-4769	2	7	2023	2023	NUM
ejpam-4769	2	8	,	,	PUNCT
ejpam-4769	2	9	1128	1128	NUM
ejpam-4769	2	10	-	-	SYM
ejpam-4769	2	11	1139	1139	NUM
ejpam-4769	2	12	issn	issn	PROPN
ejpam-4769	2	13	1307	1307	NUM
ejpam-4769	2	14	-	-	SYM
ejpam-4769	2	15	5543	5543	NUM
ejpam-4769	2	16	–	–	PUNCT
ejpam-4769	2	17	ejpam.com	ejpam.com	X
ejpam-4769	2	18	published	publish	VERB
ejpam-4769	2	19	by	by	ADP
ejpam-4769	2	20	new	new	PROPN
ejpam-4769	2	21	york	york	PROPN
ejpam-4769	2	22	business	business	PROPN
ejpam-4769	3	1	global	global	PROPN
ejpam-4769	3	2	a	a	DET
ejpam-4769	3	3	new	new	ADJ
ejpam-4769	3	4	scheme	scheme	NOUN
ejpam-4769	3	5	for	for	ADP
ejpam-4769	3	6	solving	solve	VERB
ejpam-4769	3	7	a	a	DET
ejpam-4769	3	8	fractional	fractional	ADJ
ejpam-4769	3	9	differential	differential	ADJ
ejpam-4769	3	10	equation	equation	NOUN
ejpam-4769	3	11	and	and	CCONJ
ejpam-4769	3	12	a	a	DET
ejpam-4769	3	13	chaotic	chaotic	ADJ
ejpam-4769	3	14	system	system	NOUN
ejpam-4769	3	15	ahmad	ahmad	PROPN
ejpam-4769	3	16	qazza1,∗	qazza1,∗	PROPN
ejpam-4769	3	17	,	,	PUNCT
ejpam-4769	3	18	mohamed	mohamed	PROPN
ejpam-4769	3	19	a.abdoon2,3	a.abdoon2,3	PROPN
ejpam-4769	3	20	,	,	PUNCT
ejpam-4769	3	21	rania	rania	PROPN
ejpam-4769	3	22	saadeh1	saadeh1	PROPN
ejpam-4769	3	23	,	,	PUNCT
ejpam-4769	3	24	mohammed	mohammed	PROPN
ejpam-4769	3	25	berir3,4	berir3,4	PROPN
ejpam-4769	3	26	1	1	NUM
ejpam-4769	3	27	department	department	NOUN
ejpam-4769	3	28	of	of	ADP
ejpam-4769	3	29	mathematics	mathematic	NOUN
ejpam-4769	3	30	,	,	PUNCT
ejpam-4769	3	31	faculty	faculty	NOUN
ejpam-4769	3	32	of	of	ADP
ejpam-4769	3	33	science	science	NOUN
ejpam-4769	3	34	,	,	PUNCT
ejpam-4769	3	35	zarqa	zarqa	PROPN
ejpam-4769	3	36	university	university	PROPN
ejpam-4769	3	37	,	,	PUNCT
ejpam-4769	3	38	zarqa	zarqa	PROPN
ejpam-4769	3	39	13110	13110	NUM
ejpam-4769	3	40	,	,	PUNCT
ejpam-4769	3	41	jordan	jordan	PROPN
ejpam-4769	3	42	2	2	NUM
ejpam-4769	3	43	department	department	NOUN
ejpam-4769	3	44	of	of	ADP
ejpam-4769	3	45	basic	basic	ADJ
ejpam-4769	3	46	sciences	sciences	PROPN
ejpam-4769	3	47	(	(	PUNCT
ejpam-4769	3	48	mathematics	mathematics	NOUN
ejpam-4769	3	49	)	)	PUNCT
ejpam-4769	3	50	deanship	deanship	NOUN
ejpam-4769	3	51	of	of	ADP
ejpam-4769	3	52	common	common	ADJ
ejpam-4769	3	53	first	first	ADJ
ejpam-4769	3	54	year	year	NOUN
ejpam-4769	3	55	,	,	PUNCT
ejpam-4769	3	56	shaqra	shaqra	PROPN
ejpam-4769	3	57	university	university	PROPN
ejpam-4769	3	58	,	,	PUNCT
ejpam-4769	3	59	riyadh	riyadh	PROPN
ejpam-4769	3	60	15342	15342	NUM
ejpam-4769	3	61	,	,	PUNCT
ejpam-4769	3	62	saudi	saudi	PROPN
ejpam-4769	3	63	arabia	arabia	PROPN
ejpam-4769	3	64	3	3	NUM
ejpam-4769	3	65	department	department	NOUN
ejpam-4769	3	66	of	of	ADP
ejpam-4769	3	67	mathematics	mathematic	NOUN
ejpam-4769	3	68	,	,	PUNCT
ejpam-4769	3	69	faculty	faculty	NOUN
ejpam-4769	3	70	of	of	ADP
ejpam-4769	3	71	science	science	NOUN
ejpam-4769	3	72	,	,	PUNCT
ejpam-4769	3	73	bakht	bakht	PROPN
ejpam-4769	3	74	al	al	PROPN
ejpam-4769	3	75	-	-	PUNCT
ejpam-4769	3	76	ruda	ruda	PROPN
ejpam-4769	3	77	university	university	PROPN
ejpam-4769	3	78	,	,	PUNCT
ejpam-4769	3	79	duwaym	duwaym	PROPN
ejpam-4769	3	80	,	,	PUNCT
ejpam-4769	3	81	sudan	sudan	PROPN
ejpam-4769	3	82	4	4	NUM
ejpam-4769	3	83	department	department	NOUN
ejpam-4769	3	84	of	of	ADP
ejpam-4769	3	85	mathematics	mathematic	NOUN
ejpam-4769	3	86	,	,	PUNCT
ejpam-4769	3	87	faculty	faculty	NOUN
ejpam-4769	3	88	of	of	ADP
ejpam-4769	3	89	science	science	NOUN
ejpam-4769	3	90	and	and	CCONJ
ejpam-4769	3	91	arts	art	NOUN
ejpam-4769	3	92	,	,	PUNCT
ejpam-4769	3	93	al	al	PROPN
ejpam-4769	3	94	-	-	PUNCT
ejpam-4769	3	95	baha	baha	PROPN
ejpam-4769	3	96	university	university	PROPN
ejpam-4769	3	97	,	,	PUNCT
ejpam-4769	3	98	baljurashi	baljurashi	PROPN
ejpam-4769	3	99	1988	1988	NUM
ejpam-4769	3	100	,	,	PUNCT
ejpam-4769	3	101	saudi	saudi	PROPN
ejpam-4769	3	102	arabia	arabia	PROPN
ejpam-4769	3	103	abstract	abstract	NOUN
ejpam-4769	3	104	.	.	PUNCT
ejpam-4769	4	1	the	the	DET
ejpam-4769	4	2	subject	subject	NOUN
ejpam-4769	4	3	of	of	ADP
ejpam-4769	4	4	this	this	DET
ejpam-4769	4	5	study	study	NOUN
ejpam-4769	4	6	is	be	AUX
ejpam-4769	4	7	the	the	DET
ejpam-4769	4	8	solution	solution	NOUN
ejpam-4769	4	9	of	of	ADP
ejpam-4769	4	10	a	a	DET
ejpam-4769	4	11	fractional	fractional	ADJ
ejpam-4769	4	12	bernoulli	bernoulli	NOUN
ejpam-4769	4	13	equation	equation	NOUN
ejpam-4769	4	14	and	and	CCONJ
ejpam-4769	4	15	a	a	DET
ejpam-4769	4	16	chaotic	chaotic	ADJ
ejpam-4769	4	17	system	system	NOUN
ejpam-4769	4	18	by	by	ADP
ejpam-4769	4	19	using	use	VERB
ejpam-4769	4	20	a	a	DET
ejpam-4769	4	21	novel	novel	ADJ
ejpam-4769	4	22	scheme	scheme	NOUN
ejpam-4769	4	23	for	for	ADP
ejpam-4769	4	24	the	the	DET
ejpam-4769	4	25	fractional	fractional	ADJ
ejpam-4769	4	26	derivative	derivative	NOUN
ejpam-4769	4	27	and	and	CCONJ
ejpam-4769	4	28	comparison	comparison	NOUN
ejpam-4769	4	29	of	of	ADP
ejpam-4769	4	30	approximate	approximate	ADJ
ejpam-4769	4	31	and	and	CCONJ
ejpam-4769	4	32	exact	exact	ADJ
ejpam-4769	4	33	solutions	solution	NOUN
ejpam-4769	4	34	.	.	PUNCT
ejpam-4769	5	1	it	it	PRON
ejpam-4769	5	2	is	be	AUX
ejpam-4769	5	3	found	find	VERB
ejpam-4769	5	4	that	that	SCONJ
ejpam-4769	5	5	the	the	DET
ejpam-4769	5	6	suggested	suggest	VERB
ejpam-4769	5	7	method	method	NOUN
ejpam-4769	5	8	produces	produce	VERB
ejpam-4769	5	9	solutions	solution	NOUN
ejpam-4769	5	10	that	that	PRON
ejpam-4769	5	11	are	be	AUX
ejpam-4769	5	12	identical	identical	ADJ
ejpam-4769	5	13	to	to	ADP
ejpam-4769	5	14	the	the	DET
ejpam-4769	5	15	exact	exact	ADJ
ejpam-4769	5	16	solution	solution	NOUN
ejpam-4769	5	17	.	.	PUNCT
ejpam-4769	6	1	we	we	PRON
ejpam-4769	6	2	can	can	AUX
ejpam-4769	6	3	therefore	therefore	ADV
ejpam-4769	6	4	generalize	generalize	VERB
ejpam-4769	6	5	the	the	DET
ejpam-4769	6	6	strategy	strategy	NOUN
ejpam-4769	6	7	to	to	ADP
ejpam-4769	6	8	different	different	ADJ
ejpam-4769	6	9	systems	system	NOUN
ejpam-4769	6	10	to	to	PART
ejpam-4769	6	11	get	get	VERB
ejpam-4769	6	12	more	more	ADV
ejpam-4769	6	13	accurate	accurate	ADJ
ejpam-4769	6	14	results	result	NOUN
ejpam-4769	6	15	.	.	PUNCT
ejpam-4769	7	1	we	we	PRON
ejpam-4769	7	2	think	think	VERB
ejpam-4769	7	3	that	that	SCONJ
ejpam-4769	7	4	the	the	DET
ejpam-4769	7	5	novel	novel	ADJ
ejpam-4769	7	6	fractional	fractional	ADJ
ejpam-4769	7	7	derivative	derivative	ADJ
ejpam-4769	7	8	scheme	scheme	NOUN
ejpam-4769	7	9	that	that	PRON
ejpam-4769	7	10	has	have	AUX
ejpam-4769	7	11	been	be	AUX
ejpam-4769	7	12	offered	offer	VERB
ejpam-4769	7	13	and	and	CCONJ
ejpam-4769	7	14	the	the	DET
ejpam-4769	7	15	algorithm	algorithm	NOUN
ejpam-4769	7	16	that	that	PRON
ejpam-4769	7	17	has	have	AUX
ejpam-4769	7	18	been	be	AUX
ejpam-4769	7	19	suggested	suggest	VERB
ejpam-4769	7	20	will	will	AUX
ejpam-4769	7	21	be	be	AUX
ejpam-4769	7	22	utilized	utilize	VERB
ejpam-4769	7	23	in	in	ADP
ejpam-4769	7	24	the	the	DET
ejpam-4769	7	25	future	future	NOUN
ejpam-4769	7	26	to	to	PART
ejpam-4769	7	27	construct	construct	VERB
ejpam-4769	7	28	and	and	CCONJ
ejpam-4769	7	29	simulate	simulate	VERB
ejpam-4769	7	30	a	a	DET
ejpam-4769	7	31	variety	variety	NOUN
ejpam-4769	7	32	of	of	ADP
ejpam-4769	7	33	fractional	fractional	ADJ
ejpam-4769	7	34	models	model	NOUN
ejpam-4769	7	35	that	that	PRON
ejpam-4769	7	36	can	can	AUX
ejpam-4769	7	37	be	be	AUX
ejpam-4769	7	38	used	use	VERB
ejpam-4769	7	39	to	to	PART
ejpam-4769	7	40	solve	solve	VERB
ejpam-4769	7	41	more	more	ADV
ejpam-4769	7	42	difficult	difficult	ADJ
ejpam-4769	7	43	physics	physics	NOUN
ejpam-4769	7	44	and	and	CCONJ
ejpam-4769	7	45	engineering	engineering	NOUN
ejpam-4769	7	46	challenges	challenge	NOUN
ejpam-4769	7	47	.	.	PUNCT
ejpam-4769	8	1	2020	2020	NUM
ejpam-4769	8	2	mathematics	mathematic	NOUN
ejpam-4769	8	3	subject	subject	NOUN
ejpam-4769	8	4	classifications	classification	NOUN
ejpam-4769	8	5	:	:	PUNCT
ejpam-4769	8	6	34c28	34c28	NUM
ejpam-4769	8	7	,	,	PUNCT
ejpam-4769	8	8	34a08	34a08	NUM
ejpam-4769	8	9	,	,	PUNCT
ejpam-4769	8	10	65p20	65p20	NUM
ejpam-4769	8	11	key	key	ADJ
ejpam-4769	8	12	words	word	NOUN
ejpam-4769	8	13	and	and	CCONJ
ejpam-4769	8	14	phrases	phrase	NOUN
ejpam-4769	8	15	:	:	PUNCT
ejpam-4769	8	16	numerical	numerical	ADJ
ejpam-4769	8	17	solutions	solution	NOUN
ejpam-4769	8	18	,	,	PUNCT
ejpam-4769	8	19	numerical	numerical	ADJ
ejpam-4769	8	20	scheme	scheme	NOUN
ejpam-4769	8	21	for	for	ADP
ejpam-4769	8	22	abc	abc	PROPN
ejpam-4769	8	23	operator	operator	NOUN
ejpam-4769	8	24	,	,	PUNCT
ejpam-4769	8	25	analytical	analytical	ADJ
ejpam-4769	8	26	solutions	solution	NOUN
ejpam-4769	8	27	,	,	PUNCT
ejpam-4769	8	28	laplace	laplace	NOUN
ejpam-4769	8	29	decomposition	decomposition	NOUN
ejpam-4769	8	30	method	method	NOUN
ejpam-4769	8	31	,	,	PUNCT
ejpam-4769	8	32	chaos	chaos	NOUN
ejpam-4769	8	33	1	1	NUM
ejpam-4769	8	34	.	.	PUNCT
ejpam-4769	8	35	introduction	introduction	NOUN
ejpam-4769	8	36	due	due	ADP
ejpam-4769	8	37	to	to	ADP
ejpam-4769	8	38	the	the	DET
ejpam-4769	8	39	modeling	modeling	NOUN
ejpam-4769	8	40	of	of	ADP
ejpam-4769	8	41	diffusion	diffusion	NOUN
ejpam-4769	8	42	,	,	PUNCT
ejpam-4769	8	43	control	control	NOUN
ejpam-4769	8	44	,	,	PUNCT
ejpam-4769	8	45	and	and	CCONJ
ejpam-4769	8	46	viscoelasticity	viscoelasticity	NOUN
ejpam-4769	8	47	in	in	ADP
ejpam-4769	8	48	fractional	fractional	ADJ
ejpam-4769	8	49	calculus	calculus	NOUN
ejpam-4769	8	50	,	,	PUNCT
ejpam-4769	8	51	applied	apply	VERB
ejpam-4769	8	52	mathematics	mathematic	NOUN
ejpam-4769	8	53	has	have	AUX
ejpam-4769	8	54	grown	grow	VERB
ejpam-4769	8	55	in	in	ADP
ejpam-4769	8	56	popularity	popularity	NOUN
ejpam-4769	8	57	over	over	ADP
ejpam-4769	8	58	the	the	DET
ejpam-4769	8	59	past	past	ADJ
ejpam-4769	8	60	few	few	ADJ
ejpam-4769	8	61	decades	decade	NOUN
ejpam-4769	8	62	.	.	PUNCT
ejpam-4769	9	1	in	in	ADP
ejpam-4769	9	2	physics	physics	NOUN
ejpam-4769	9	3	and	and	CCONJ
ejpam-4769	9	4	engineering	engineering	NOUN
ejpam-4769	9	5	research	research	NOUN
ejpam-4769	9	6	,	,	PUNCT
ejpam-4769	9	7	fractional	fractional	ADJ
ejpam-4769	9	8	differential	differential	ADJ
ejpam-4769	9	9	equations	equation	NOUN
ejpam-4769	9	10	are	be	AUX
ejpam-4769	9	11	used	use	VERB
ejpam-4769	9	12	[	[	PUNCT
ejpam-4769	9	13	29	29	NUM
ejpam-4769	9	14	,	,	PUNCT
ejpam-4769	9	15	32	32	NUM
ejpam-4769	9	16	]	]	PUNCT
ejpam-4769	9	17	.	.	PUNCT
ejpam-4769	10	1	there	there	PRON
ejpam-4769	10	2	are	be	VERB
ejpam-4769	10	3	several	several	ADJ
ejpam-4769	10	4	techniques	technique	NOUN
ejpam-4769	10	5	for	for	ADP
ejpam-4769	10	6	resolving	resolve	VERB
ejpam-4769	10	7	fractional	fractional	ADJ
ejpam-4769	10	8	differential	differential	ADJ
ejpam-4769	10	9	equations	equation	NOUN
ejpam-4769	10	10	,	,	PUNCT
ejpam-4769	10	11	see	see	VERB
ejpam-4769	10	12	[	[	X
ejpam-4769	10	13	11	11	NUM
ejpam-4769	10	14	,	,	PUNCT
ejpam-4769	10	15	17	17	NUM
ejpam-4769	10	16	]	]	PUNCT
ejpam-4769	10	17	.	.	PUNCT
ejpam-4769	11	1	the	the	DET
ejpam-4769	11	2	body	body	NOUN
ejpam-4769	11	3	of	of	ADP
ejpam-4769	11	4	research	research	NOUN
ejpam-4769	11	5	on	on	ADP
ejpam-4769	11	6	modeling	model	VERB
ejpam-4769	11	7	chaotic	chaotic	ADJ
ejpam-4769	11	8	and	and	CCONJ
ejpam-4769	11	9	hyperchaotic	hyperchaotic	ADJ
ejpam-4769	11	10	systems	system	NOUN
ejpam-4769	11	11	has	have	AUX
ejpam-4769	11	12	been	be	AUX
ejpam-4769	11	13	exploded	explode	VERB
ejpam-4769	11	14	recently	recently	ADV
ejpam-4769	11	15	with	with	ADP
ejpam-4769	11	16	several	several	ADJ
ejpam-4769	11	17	applications	application	NOUN
ejpam-4769	11	18	in	in	ADP
ejpam-4769	11	19	disciplines	discipline	NOUN
ejpam-4769	11	20	as	as	ADV
ejpam-4769	11	21	diverse	diverse	ADJ
ejpam-4769	11	22	as	as	ADP
ejpam-4769	11	23	electrical	electrical	ADJ
ejpam-4769	11	24	circuits	circuit	NOUN
ejpam-4769	11	25	,	,	PUNCT
ejpam-4769	11	26	biology	biology	NOUN
ejpam-4769	11	27	,	,	PUNCT
ejpam-4769	11	28	and	and	CCONJ
ejpam-4769	11	29	physics	physics	NOUN
ejpam-4769	11	30	[	[	X
ejpam-4769	11	31	12	12	NUM
ejpam-4769	11	32	,	,	PUNCT
ejpam-4769	11	33	18	18	NUM
ejpam-4769	11	34	,	,	PUNCT
ejpam-4769	11	35	31	31	NUM
ejpam-4769	11	36	,	,	PUNCT
ejpam-4769	11	37	34	34	NUM
ejpam-4769	11	38	]	]	PUNCT
ejpam-4769	11	39	.	.	PUNCT
ejpam-4769	12	1	electrical	electrical	ADJ
ejpam-4769	12	2	circuit	circuit	NOUN
ejpam-4769	12	3	modeling	modeling	NOUN
ejpam-4769	12	4	,	,	PUNCT
ejpam-4769	12	5	which	which	PRON
ejpam-4769	12	6	is	be	AUX
ejpam-4769	12	7	described	describe	VERB
ejpam-4769	12	8	in	in	ADP
ejpam-4769	12	9	multiple	multiple	ADJ
ejpam-4769	12	10	works	work	NOUN
ejpam-4769	12	11	,	,	PUNCT
ejpam-4769	12	12	is	be	AUX
ejpam-4769	12	13	one	one	NUM
ejpam-4769	12	14	of	of	ADP
ejpam-4769	12	15	the	the	DET
ejpam-4769	12	16	most	most	ADV
ejpam-4769	12	17	wellknown	wellknown	ADJ
ejpam-4769	12	18	applications	application	NOUN
ejpam-4769	12	19	of	of	ADP
ejpam-4769	12	20	chaos	chaos	NOUN
ejpam-4769	12	21	.	.	PUNCT
ejpam-4769	13	1	it	it	PRON
ejpam-4769	13	2	is	be	AUX
ejpam-4769	13	3	justified	justify	VERB
ejpam-4769	13	4	to	to	PART
ejpam-4769	13	5	employ	employ	VERB
ejpam-4769	13	6	chaotic	chaotic	ADJ
ejpam-4769	13	7	models	model	NOUN
ejpam-4769	13	8	given	give	VERB
ejpam-4769	13	9	how	how	SCONJ
ejpam-4769	13	10	difficult	difficult	ADJ
ejpam-4769	13	11	∗corresponding	∗corresponding	NOUN
ejpam-4769	13	12	author	author	NOUN
ejpam-4769	13	13	.	.	PUNCT
ejpam-4769	14	1	doi	doi	NOUN
ejpam-4769	14	2	:	:	PUNCT
ejpam-4769	14	3	https://doi.org/10.29020/nybg.ejpam.v16i2.4769	https://doi.org/10.29020/nybg.ejpam.v16i2.4769	NUM
ejpam-4769	14	4	email	email	NOUN
ejpam-4769	14	5	addresses	address	NOUN
ejpam-4769	14	6	:	:	PUNCT
ejpam-4769	14	7	aqazza@zu.edu.jo	aqazza@zu.edu.jo	NOUN
ejpam-4769	14	8	(	(	PUNCT
ejpam-4769	14	9	a.	a.	NOUN
ejpam-4769	14	10	qazza	qazza	PROPN
ejpam-4769	14	11	)	)	PUNCT
ejpam-4769	14	12	,	,	PUNCT
ejpam-4769	14	13	moh.abdoon@gmail.com	moh.abdoon@gmail.com	PROPN
ejpam-4769	14	14	(	(	PUNCT
ejpam-4769	14	15	m.	m.	NOUN
ejpam-4769	14	16	a.	a.	PROPN
ejpam-4769	14	17	abdoon	abdoon	PROPN
ejpam-4769	14	18	)	)	PUNCT
ejpam-4769	14	19	,	,	PUNCT
ejpam-4769	15	1	rsaadeh@zu.edu.jo	rsaadeh@zu.edu.jo	ADV
ejpam-4769	15	2	(	(	PUNCT
ejpam-4769	15	3	r.	r.	PROPN
ejpam-4769	15	4	saadeh	saadeh	PROPN
ejpam-4769	15	5	)	)	PUNCT
ejpam-4769	15	6	,	,	PUNCT
ejpam-4769	15	7	mabberer@gmail.com	mabberer@gmail.com	PROPN
ejpam-4769	15	8	(	(	PUNCT
ejpam-4769	15	9	m.	m.	NOUN
ejpam-4769	15	10	berir	berir	PROPN
ejpam-4769	15	11	)	)	PUNCT
ejpam-4769	15	12	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-4769	15	13	1128	1128	NUM
ejpam-4769	16	1	©	©	ADP
ejpam-4769	16	2	2023	2023	NUM
ejpam-4769	16	3	ejpam	ejpam	NOUN
ejpam-4769	16	4	all	all	DET
ejpam-4769	16	5	rights	right	NOUN
ejpam-4769	16	6	reserved	reserve	VERB
ejpam-4769	16	7	.	.	PUNCT
ejpam-4769	17	1	a.	a.	PROPN
ejpam-4769	17	2	qazza	qazza	PROPN
ejpam-4769	17	3	et	et	PROPN
ejpam-4769	17	4	al	al	PROPN
ejpam-4769	17	5	.	.	PUNCT
ejpam-4769	17	6	/	/	SYM
ejpam-4769	17	7	eur	eur	PROPN
ejpam-4769	17	8	.	.	PUNCT
ejpam-4769	18	1	j.	j.	PROPN
ejpam-4769	18	2	pure	pure	PROPN
ejpam-4769	18	3	appl	appl	PROPN
ejpam-4769	18	4	.	.	PROPN
ejpam-4769	18	5	math	math	PROPN
ejpam-4769	18	6	,	,	PUNCT
ejpam-4769	18	7	16	16	NUM
ejpam-4769	18	8	(	(	PUNCT
ejpam-4769	18	9	2	2	NUM
ejpam-4769	18	10	)	)	PUNCT
ejpam-4769	18	11	(	(	PUNCT
ejpam-4769	18	12	2023	2023	NUM
ejpam-4769	18	13	)	)	PUNCT
ejpam-4769	18	14	,	,	PUNCT
ejpam-4769	18	15	1128	1128	NUM
ejpam-4769	18	16	-	-	SYM
ejpam-4769	18	17	1139	1139	NUM
ejpam-4769	18	18	1129	1129	NUM
ejpam-4769	18	19	it	it	PRON
ejpam-4769	18	20	is	be	AUX
ejpam-4769	18	21	to	to	PART
ejpam-4769	18	22	predict	predict	VERB
ejpam-4769	18	23	many	many	ADJ
ejpam-4769	18	24	real	real	ADJ
ejpam-4769	18	25	-	-	PUNCT
ejpam-4769	18	26	world	world	NOUN
ejpam-4769	18	27	situations	situation	NOUN
ejpam-4769	18	28	.	.	PUNCT
ejpam-4769	19	1	asymptotic	asymptotic	ADJ
ejpam-4769	19	2	stability	stability	NOUN
ejpam-4769	19	3	,	,	PUNCT
ejpam-4769	19	4	which	which	PRON
ejpam-4769	19	5	identifies	identify	VERB
ejpam-4769	19	6	the	the	DET
ejpam-4769	19	7	precise	precise	ADJ
ejpam-4769	19	8	nature	nature	NOUN
ejpam-4769	19	9	of	of	ADP
ejpam-4769	19	10	the	the	DET
ejpam-4769	19	11	chaos	chaos	NOUN
ejpam-4769	19	12	,	,	PUNCT
ejpam-4769	19	13	is	be	AUX
ejpam-4769	19	14	only	only	ADV
ejpam-4769	19	15	one	one	NUM
ejpam-4769	19	16	of	of	ADP
ejpam-4769	19	17	the	the	DET
ejpam-4769	19	18	many	many	ADJ
ejpam-4769	19	19	unique	unique	ADJ
ejpam-4769	19	20	techniques	technique	NOUN
ejpam-4769	19	21	for	for	ADP
ejpam-4769	19	22	analyzing	analyze	VERB
ejpam-4769	19	23	chaotic	chaotic	ADJ
ejpam-4769	19	24	systems	system	NOUN
ejpam-4769	19	25	that	that	PRON
ejpam-4769	19	26	have	have	AUX
ejpam-4769	19	27	emerged	emerge	VERB
ejpam-4769	19	28	in	in	ADP
ejpam-4769	19	29	recent	recent	ADJ
ejpam-4769	19	30	years	year	NOUN
ejpam-4769	19	31	.	.	PUNCT
ejpam-4769	20	1	the	the	DET
ejpam-4769	20	2	mathematical	mathematical	ADJ
ejpam-4769	20	3	and	and	CCONJ
ejpam-4769	20	4	scientific	scientific	ADJ
ejpam-4769	20	5	domains	domain	NOUN
ejpam-4769	20	6	of	of	ADP
ejpam-4769	20	7	fractional	fractional	ADJ
ejpam-4769	20	8	calculus	calculus	NOUN
ejpam-4769	20	9	[	[	X
ejpam-4769	20	10	2	2	NUM
ejpam-4769	20	11	,	,	PUNCT
ejpam-4769	20	12	16	16	NUM
ejpam-4769	20	13	,	,	PUNCT
ejpam-4769	20	14	25	25	NUM
ejpam-4769	20	15	,	,	PUNCT
ejpam-4769	20	16	40	40	NUM
ejpam-4769	20	17	]	]	PUNCT
ejpam-4769	20	18	are	be	AUX
ejpam-4769	20	19	extremely	extremely	ADV
ejpam-4769	20	20	diverse	diverse	ADJ
ejpam-4769	20	21	:	:	PUNCT
ejpam-4769	20	22	mathematics	mathematic	NOUN
ejpam-4769	20	23	,	,	PUNCT
ejpam-4769	20	24	biology	biology	NOUN
ejpam-4769	20	25	,	,	PUNCT
ejpam-4769	20	26	and	and	CCONJ
ejpam-4769	20	27	other	other	ADJ
ejpam-4769	20	28	domains[19	domains[19	NOUN
ejpam-4769	20	29	,	,	PUNCT
ejpam-4769	20	30	39	39	NUM
ejpam-4769	20	31	,	,	PUNCT
ejpam-4769	20	32	44	44	NUM
ejpam-4769	20	33	]	]	PUNCT
ejpam-4769	20	34	are	be	AUX
ejpam-4769	20	35	rapidly	rapidly	ADV
ejpam-4769	20	36	expanding	expand	VERB
ejpam-4769	20	37	cutting	cut	VERB
ejpam-4769	20	38	-	-	PUNCT
ejpam-4769	20	39	edge	edge	NOUN
ejpam-4769	20	40	applications	application	NOUN
ejpam-4769	20	41	in	in	ADP
ejpam-4769	20	42	the	the	DET
ejpam-4769	20	43	area	area	NOUN
ejpam-4769	20	44	of	of	ADP
ejpam-4769	20	45	fractional	fractional	ADJ
ejpam-4769	20	46	calculus	calculus	NOUN
ejpam-4769	20	47	[	[	X
ejpam-4769	20	48	15	15	NUM
ejpam-4769	20	49	,	,	PUNCT
ejpam-4769	20	50	21	21	NUM
ejpam-4769	20	51	,	,	PUNCT
ejpam-4769	20	52	22	22	NUM
ejpam-4769	20	53	,	,	PUNCT
ejpam-4769	20	54	42	42	NUM
ejpam-4769	20	55	]	]	PUNCT
ejpam-4769	20	56	.	.	PUNCT
ejpam-4769	21	1	this	this	DET
ejpam-4769	21	2	research	research	NOUN
ejpam-4769	21	3	is	be	AUX
ejpam-4769	21	4	significant	significant	ADJ
ejpam-4769	21	5	since	since	SCONJ
ejpam-4769	21	6	fractional	fractional	ADJ
ejpam-4769	21	7	operators	operator	NOUN
ejpam-4769	21	8	have	have	VERB
ejpam-4769	21	9	many	many	ADJ
ejpam-4769	21	10	different	different	ADJ
ejpam-4769	21	11	meanings	meaning	NOUN
ejpam-4769	21	12	.	.	PUNCT
ejpam-4769	22	1	derivatives	derivative	NOUN
ejpam-4769	22	2	with	with	ADP
ejpam-4769	22	3	exponential	exponential	ADJ
ejpam-4769	22	4	and	and	CCONJ
ejpam-4769	22	5	mittag	mittag	ADJ
ejpam-4769	22	6	-	-	PUNCT
ejpam-4769	22	7	leffler	leffler	NOUN
ejpam-4769	22	8	kernels	kernel	NOUN
ejpam-4769	22	9	are	be	AUX
ejpam-4769	22	10	examples	example	NOUN
ejpam-4769	22	11	of	of	ADP
ejpam-4769	22	12	singular	singular	NOUN
ejpam-4769	22	13	-	-	PUNCT
ejpam-4769	22	14	free	free	ADJ
ejpam-4769	22	15	derivatives	derivative	NOUN
ejpam-4769	22	16	[	[	X
ejpam-4769	22	17	20	20	NUM
ejpam-4769	22	18	]	]	PUNCT
ejpam-4769	22	19	.	.	PUNCT
ejpam-4769	23	1	the	the	DET
ejpam-4769	23	2	fractional	fractional	ADJ
ejpam-4769	23	3	derivatives	derivative	NOUN
ejpam-4769	23	4	are	be	AUX
ejpam-4769	23	5	helpful	helpful	ADJ
ejpam-4769	23	6	since	since	SCONJ
ejpam-4769	23	7	they	they	PRON
ejpam-4769	23	8	account	account	VERB
ejpam-4769	23	9	for	for	ADP
ejpam-4769	23	10	the	the	DET
ejpam-4769	23	11	influence	influence	NOUN
ejpam-4769	23	12	of	of	ADP
ejpam-4769	23	13	long	long	ADJ
ejpam-4769	23	14	-	-	PUNCT
ejpam-4769	23	15	term	term	NOUN
ejpam-4769	23	16	memory	memory	NOUN
ejpam-4769	23	17	[	[	X
ejpam-4769	23	18	24	24	NUM
ejpam-4769	23	19	]	]	PUNCT
ejpam-4769	23	20	.	.	PUNCT
ejpam-4769	24	1	recent	recent	ADJ
ejpam-4769	24	2	research	research	NOUN
ejpam-4769	24	3	has	have	AUX
ejpam-4769	24	4	shown	show	VERB
ejpam-4769	24	5	that	that	SCONJ
ejpam-4769	24	6	there	there	PRON
ejpam-4769	24	7	are	be	VERB
ejpam-4769	24	8	several	several	ADJ
ejpam-4769	24	9	convincing	convincing	ADJ
ejpam-4769	24	10	grounds	ground	NOUN
ejpam-4769	24	11	for	for	ADP
ejpam-4769	24	12	using	use	VERB
ejpam-4769	24	13	fractional	fractional	ADJ
ejpam-4769	24	14	derivatives	derivative	NOUN
ejpam-4769	24	15	in	in	ADP
ejpam-4769	24	16	practical	practical	ADJ
ejpam-4769	24	17	contexts	context	NOUN
ejpam-4769	25	1	[	[	X
ejpam-4769	25	2	41	41	NUM
ejpam-4769	25	3	]	]	PUNCT
ejpam-4769	25	4	.	.	PUNCT
ejpam-4769	26	1	chaotic	chaotic	ADJ
ejpam-4769	26	2	systems	system	NOUN
ejpam-4769	26	3	violently	violently	ADV
ejpam-4769	26	4	respond	respond	VERB
ejpam-4769	26	5	to	to	ADP
ejpam-4769	26	6	both	both	DET
ejpam-4769	26	7	initial	initial	ADJ
ejpam-4769	26	8	conditions	condition	NOUN
ejpam-4769	26	9	and	and	CCONJ
ejpam-4769	26	10	small	small	ADJ
ejpam-4769	26	11	changes	change	NOUN
ejpam-4769	26	12	in	in	ADP
ejpam-4769	26	13	their	their	PRON
ejpam-4769	26	14	parameters	parameter	NOUN
ejpam-4769	26	15	,	,	PUNCT
ejpam-4769	26	16	as	as	SCONJ
ejpam-4769	26	17	is	be	AUX
ejpam-4769	26	18	well	well	ADV
ejpam-4769	26	19	known	known	ADJ
ejpam-4769	26	20	[	[	X
ejpam-4769	26	21	30	30	NUM
ejpam-4769	26	22	]	]	PUNCT
ejpam-4769	26	23	.	.	PUNCT
ejpam-4769	27	1	the	the	DET
ejpam-4769	27	2	main	main	ADJ
ejpam-4769	27	3	goal	goal	NOUN
ejpam-4769	27	4	of	of	ADP
ejpam-4769	27	5	this	this	DET
ejpam-4769	27	6	research	research	NOUN
ejpam-4769	27	7	is	be	AUX
ejpam-4769	27	8	to	to	PART
ejpam-4769	27	9	introduce	introduce	VERB
ejpam-4769	27	10	a	a	DET
ejpam-4769	27	11	new	new	ADJ
ejpam-4769	27	12	approach	approach	NOUN
ejpam-4769	27	13	for	for	ADP
ejpam-4769	27	14	solving	solve	VERB
ejpam-4769	27	15	fractional	fractional	ADJ
ejpam-4769	27	16	differential	differential	ADJ
ejpam-4769	27	17	equations	equation	NOUN
ejpam-4769	27	18	[	[	X
ejpam-4769	27	19	4	4	NUM
ejpam-4769	27	20	,	,	PUNCT
ejpam-4769	27	21	5	5	NUM
ejpam-4769	27	22	,	,	PUNCT
ejpam-4769	27	23	8	8	NUM
ejpam-4769	27	24	,	,	PUNCT
ejpam-4769	27	25	23	23	NUM
ejpam-4769	27	26	,	,	PUNCT
ejpam-4769	27	27	27	27	NUM
ejpam-4769	27	28	,	,	PUNCT
ejpam-4769	27	29	38	38	NUM
ejpam-4769	27	30	,	,	PUNCT
ejpam-4769	27	31	45	45	NUM
ejpam-4769	27	32	]	]	PUNCT
ejpam-4769	27	33	.	.	PUNCT
ejpam-4769	28	1	also	also	ADV
ejpam-4769	28	2	,	,	PUNCT
ejpam-4769	28	3	we	we	PRON
ejpam-4769	28	4	study	study	VERB
ejpam-4769	28	5	the	the	DET
ejpam-4769	28	6	chaotic	chaotic	ADJ
ejpam-4769	28	7	behavior	behavior	NOUN
ejpam-4769	28	8	of	of	ADP
ejpam-4769	28	9	the	the	DET
ejpam-4769	28	10	studied	study	VERB
ejpam-4769	28	11	problems	problem	NOUN
ejpam-4769	28	12	.	.	PUNCT
ejpam-4769	29	1	moreover	moreover	ADV
ejpam-4769	29	2	,	,	PUNCT
ejpam-4769	29	3	we	we	PRON
ejpam-4769	29	4	sketch	sketch	VERB
ejpam-4769	29	5	some	some	DET
ejpam-4769	29	6	figures	figure	NOUN
ejpam-4769	29	7	to	to	PART
ejpam-4769	29	8	illustrate	illustrate	VERB
ejpam-4769	29	9	the	the	DET
ejpam-4769	29	10	efficiency	efficiency	NOUN
ejpam-4769	29	11	of	of	ADP
ejpam-4769	29	12	the	the	DET
ejpam-4769	29	13	proposed	propose	VERB
ejpam-4769	29	14	method	method	NOUN
ejpam-4769	29	15	.	.	PUNCT
ejpam-4769	30	1	this	this	DET
ejpam-4769	30	2	article	article	NOUN
ejpam-4769	30	3	is	be	AUX
ejpam-4769	30	4	organized	organize	VERB
ejpam-4769	30	5	as	as	SCONJ
ejpam-4769	30	6	follows	follow	VERB
ejpam-4769	30	7	,	,	PUNCT
ejpam-4769	30	8	in	in	ADP
ejpam-4769	30	9	the	the	DET
ejpam-4769	30	10	next	next	ADJ
ejpam-4769	30	11	section	section	NOUN
ejpam-4769	30	12	,	,	PUNCT
ejpam-4769	30	13	we	we	PRON
ejpam-4769	30	14	introduce	introduce	VERB
ejpam-4769	30	15	the	the	DET
ejpam-4769	30	16	basic	basic	ADJ
ejpam-4769	30	17	definitions	definition	NOUN
ejpam-4769	30	18	and	and	CCONJ
ejpam-4769	30	19	properties	property	NOUN
ejpam-4769	30	20	.	.	PUNCT
ejpam-4769	31	1	in	in	ADP
ejpam-4769	31	2	section	section	NOUN
ejpam-4769	31	3	3	3	NUM
ejpam-4769	31	4	,	,	PUNCT
ejpam-4769	31	5	we	we	PRON
ejpam-4769	31	6	introduce	introduce	VERB
ejpam-4769	31	7	the	the	DET
ejpam-4769	31	8	numerical	numerical	ADJ
ejpam-4769	31	9	scheme	scheme	NOUN
ejpam-4769	31	10	of	of	ADP
ejpam-4769	31	11	the	the	DET
ejpam-4769	31	12	abc	abc	PROPN
ejpam-4769	31	13	operator	operator	NOUN
ejpam-4769	31	14	.	.	PUNCT
ejpam-4769	32	1	in	in	ADP
ejpam-4769	32	2	section	section	NOUN
ejpam-4769	32	3	4	4	NUM
ejpam-4769	32	4	,	,	PUNCT
ejpam-4769	32	5	we	we	PRON
ejpam-4769	32	6	introduce	introduce	VERB
ejpam-4769	32	7	some	some	DET
ejpam-4769	32	8	applications	application	NOUN
ejpam-4769	32	9	and	and	CCONJ
ejpam-4769	32	10	finally	finally	ADV
ejpam-4769	32	11	,	,	PUNCT
ejpam-4769	32	12	we	we	PRON
ejpam-4769	32	13	present	present	VERB
ejpam-4769	32	14	the	the	DET
ejpam-4769	32	15	conclusion	conclusion	NOUN
ejpam-4769	32	16	section	section	NOUN
ejpam-4769	32	17	.	.	PUNCT
ejpam-4769	33	1	2	2	X
ejpam-4769	33	2	.	.	NUM
ejpam-4769	33	3	basic	basic	ADJ
ejpam-4769	33	4	principles	principle	NOUN
ejpam-4769	33	5	definition	definition	NOUN
ejpam-4769	33	6	1	1	NUM
ejpam-4769	33	7	.	.	PUNCT
ejpam-4769	34	1	the	the	DET
ejpam-4769	34	2	riemann	riemann	PROPN
ejpam-4769	34	3	liouville	liouville	PROPN
ejpam-4769	34	4	integral	integral	ADJ
ejpam-4769	34	5	(	(	PUNCT
ejpam-4769	34	6	rli	rli	NOUN
ejpam-4769	34	7	)	)	PUNCT
ejpam-4769	34	8	order	order	NOUN
ejpam-4769	34	9	of	of	ADP
ejpam-4769	34	10	0	0	NUM
ejpam-4769	34	11	<	<	X
ejpam-4769	34	12	α	α	X
ejpam-4769	34	13	<	<	X
ejpam-4769	34	14	1	1	NUM
ejpam-4769	34	15	and	and	CCONJ
ejpam-4769	34	16	v(τ	v(τ	NUM
ejpam-4769	34	17	)	)	PUNCT
ejpam-4769	34	18	is	be	AUX
ejpam-4769	34	19	provided	provide	VERB
ejpam-4769	34	20	by	by	ADP
ejpam-4769	34	21	[	[	X
ejpam-4769	34	22	33	33	NUM
ejpam-4769	34	23	]	]	NOUN
ejpam-4769	34	24	:	:	PUNCT
ejpam-4769	34	25	dαv	dαv	PROPN
ejpam-4769	34	26	(	(	PUNCT
ejpam-4769	34	27	t	t	NOUN
ejpam-4769	34	28	)	)	PUNCT
ejpam-4769	34	29	=	=	SYM
ejpam-4769	34	30	1	1	NUM
ejpam-4769	34	31	γ(n−	γ(n−	PROPN
ejpam-4769	34	32	α	α	NOUN
ejpam-4769	34	33	)	)	PUNCT
ejpam-4769	34	34	∫	∫	PROPN
ejpam-4769	34	35	t	t	PROPN
ejpam-4769	34	36	0	0	NUM
ejpam-4769	35	1	(	(	PUNCT
ejpam-4769	35	2	t−	t−	PROPN
ejpam-4769	35	3	τ)n−α−1vn	τ)n−α−1vn	PROPN
ejpam-4769	35	4	(	(	PUNCT
ejpam-4769	35	5	τ	τ	NOUN
ejpam-4769	35	6	)	)	PUNCT
ejpam-4769	35	7	dτ	dτ	NOUN
ejpam-4769	35	8	=	=	SYM
ejpam-4769	35	9	in−αvn	in−αvn	PROPN
ejpam-4769	35	10	(	(	PUNCT
ejpam-4769	35	11	t	t	PROPN
ejpam-4769	35	12	)	)	PUNCT
ejpam-4769	35	13	,	,	PUNCT
ejpam-4769	35	14	t	t	X
ejpam-4769	35	15	>	>	X
ejpam-4769	35	16	0	0	NUM
ejpam-4769	35	17	.	.	PUNCT
ejpam-4769	36	1	(	(	PUNCT
ejpam-4769	36	2	1	1	X
ejpam-4769	36	3	)	)	PUNCT
ejpam-4769	36	4	definition	definition	NOUN
ejpam-4769	36	5	2	2	NUM
ejpam-4769	36	6	.	.	PUNCT
ejpam-4769	37	1	the	the	DET
ejpam-4769	37	2	riemann	riemann	PROPN
ejpam-4769	37	3	-	-	PUNCT
ejpam-4769	37	4	liouville	liouville	VERB
ejpam-4769	37	5	fractional	fractional	ADJ
ejpam-4769	37	6	integral	integral	ADJ
ejpam-4769	37	7	of	of	ADP
ejpam-4769	37	8	order	order	NOUN
ejpam-4769	37	9	α	α	X
ejpam-4769	37	10	>	>	X
ejpam-4769	37	11	0	0	NUM
ejpam-4769	37	12	,	,	PUNCT
ejpam-4769	37	13	given	give	VERB
ejpam-4769	37	14	by	by	ADP
ejpam-4769	37	15	[	[	X
ejpam-4769	37	16	1	1	NUM
ejpam-4769	37	17	]	]	NUM
ejpam-4769	37	18	:	:	PUNCT
ejpam-4769	37	19	iαa+f(t	iαa+f(t	NOUN
ejpam-4769	37	20	)	)	PUNCT
ejpam-4769	37	21	=	=	SYM
ejpam-4769	37	22	1	1	NUM
ejpam-4769	37	23	γ(α	γ(α	NOUN
ejpam-4769	37	24	)	)	PUNCT
ejpam-4769	38	1	∫	∫	PROPN
ejpam-4769	38	2	t	t	PROPN
ejpam-4769	38	3	a	a	PRON
ejpam-4769	38	4	(	(	PUNCT
ejpam-4769	38	5	t−	t−	PROPN
ejpam-4769	38	6	s)α−1f(s)ds	s)α−1f(s)ds	PROPN
ejpam-4769	38	7	,	,	PUNCT
ejpam-4769	38	8	t	t	PROPN
ejpam-4769	38	9	>	>	X
ejpam-4769	38	10	a.	a.	NOUN
ejpam-4769	39	1	(	(	PUNCT
ejpam-4769	39	2	2	2	NUM
ejpam-4769	39	3	)	)	PUNCT
ejpam-4769	39	4	definition	definition	NOUN
ejpam-4769	39	5	3	3	NUM
ejpam-4769	39	6	.	.	PUNCT
ejpam-4769	40	1	for	for	ADP
ejpam-4769	40	2	a	a	DET
ejpam-4769	40	3	function	function	NOUN
ejpam-4769	40	4	y	y	PROPN
ejpam-4769	40	5	(	(	PUNCT
ejpam-4769	40	6	τ	τ	PROPN
ejpam-4769	40	7	)	)	PUNCT
ejpam-4769	40	8	caputo	caputo	PROPN
ejpam-4769	40	9	derivative	derivative	NOUN
ejpam-4769	40	10	of	of	ADP
ejpam-4769	40	11	order	order	NOUN
ejpam-4769	40	12	0	0	PUNCT
ejpam-4769	40	13	<	<	X
ejpam-4769	40	14	α	α	X
ejpam-4769	40	15	<	<	X
ejpam-4769	40	16	1	1	NUM
ejpam-4769	40	17	is	be	AUX
ejpam-4769	40	18	given	give	VERB
ejpam-4769	40	19	by	by	ADP
ejpam-4769	40	20	[	[	PUNCT
ejpam-4769	40	21	10	10	NUM
ejpam-4769	40	22	]	]	X
ejpam-4769	40	23	:	:	PUNCT
ejpam-4769	40	24	iαy	iαy	PROPN
ejpam-4769	40	25	(	(	PUNCT
ejpam-4769	40	26	t	t	NOUN
ejpam-4769	40	27	)	)	PUNCT
ejpam-4769	40	28	=	=	SYM
ejpam-4769	40	29	1	1	NUM
ejpam-4769	40	30	γ	γ	X
ejpam-4769	40	31	(	(	PUNCT
ejpam-4769	40	32	α	α	NOUN
ejpam-4769	40	33	)	)	PUNCT
ejpam-4769	40	34	∫	∫	PROPN
ejpam-4769	40	35	t	t	PROPN
ejpam-4769	40	36	0	0	NUM
ejpam-4769	40	37	(	(	PUNCT
ejpam-4769	40	38	t−	t−	PROPN
ejpam-4769	40	39	τ)α−1	τ)α−1	NOUN
ejpam-4769	40	40	y	y	PROPN
ejpam-4769	40	41	(	(	PUNCT
ejpam-4769	40	42	τ	τ	PROPN
ejpam-4769	40	43	)	)	PUNCT
ejpam-4769	40	44	dτ	dτ	PROPN
ejpam-4769	40	45	,	,	PUNCT
ejpam-4769	40	46	t	t	PROPN
ejpam-4769	40	47	>	>	X
ejpam-4769	40	48	0	0	NUM
ejpam-4769	40	49	.	.	PUNCT
ejpam-4769	41	1	(	(	PUNCT
ejpam-4769	41	2	3	3	X
ejpam-4769	41	3	)	)	PUNCT
ejpam-4769	41	4	definition	definition	NOUN
ejpam-4769	41	5	4	4	NUM
ejpam-4769	41	6	.	.	PUNCT
ejpam-4769	42	1	the	the	DET
ejpam-4769	42	2	mittag	mittag	ADJ
ejpam-4769	42	3	leffler	leffl	ADJ
ejpam-4769	42	4	function	function	NOUN
ejpam-4769	42	5	can	can	AUX
ejpam-4769	42	6	be	be	AUX
ejpam-4769	42	7	expressed	express	VERB
ejpam-4769	42	8	as	as	SCONJ
ejpam-4769	42	9	follows	follow	VERB
ejpam-4769	42	10	[	[	X
ejpam-4769	42	11	6	6	NUM
ejpam-4769	42	12	]	]	PUNCT
ejpam-4769	42	13	:	:	PUNCT
ejpam-4769	42	14	eα	eα	PROPN
ejpam-4769	42	15	(	(	PUNCT
ejpam-4769	42	16	t	t	NOUN
ejpam-4769	42	17	)	)	PUNCT
ejpam-4769	42	18	=	=	NOUN
ejpam-4769	43	1	∞∑	∞∑	NUM
ejpam-4769	43	2	k=0	k=0	PROPN
ejpam-4769	43	3	tk	tk	PROPN
ejpam-4769	43	4	γ(αk	γ(αk	PROPN
ejpam-4769	43	5	+	+	PROPN
ejpam-4769	43	6	1	1	NUM
ejpam-4769	43	7	)	)	PUNCT
ejpam-4769	43	8	.	.	PUNCT
ejpam-4769	44	1	(	(	PUNCT
ejpam-4769	44	2	4	4	X
ejpam-4769	44	3	)	)	PUNCT
ejpam-4769	44	4	a.	a.	NOUN
ejpam-4769	44	5	qazza	qazza	PROPN
ejpam-4769	44	6	et	et	PROPN
ejpam-4769	44	7	al	al	PROPN
ejpam-4769	44	8	.	.	PUNCT
ejpam-4769	44	9	/	/	SYM
ejpam-4769	44	10	eur	eur	PROPN
ejpam-4769	44	11	.	.	PUNCT
ejpam-4769	45	1	j.	j.	PROPN
ejpam-4769	45	2	pure	pure	PROPN
ejpam-4769	45	3	appl	appl	PROPN
ejpam-4769	45	4	.	.	PROPN
ejpam-4769	45	5	math	math	PROPN
ejpam-4769	45	6	,	,	PUNCT
ejpam-4769	45	7	16	16	NUM
ejpam-4769	45	8	(	(	PUNCT
ejpam-4769	45	9	2	2	NUM
ejpam-4769	45	10	)	)	PUNCT
ejpam-4769	45	11	(	(	PUNCT
ejpam-4769	45	12	2023	2023	NUM
ejpam-4769	45	13	)	)	PUNCT
ejpam-4769	45	14	,	,	PUNCT
ejpam-4769	45	15	1128	1128	NUM
ejpam-4769	45	16	-	-	SYM
ejpam-4769	45	17	1139	1139	NUM
ejpam-4769	45	18	1130	1130	NUM
ejpam-4769	45	19	definition	definition	NOUN
ejpam-4769	45	20	5	5	NUM
ejpam-4769	45	21	.	.	PUNCT
ejpam-4769	46	1	(	(	PUNCT
ejpam-4769	46	2	the	the	DET
ejpam-4769	46	3	lagrange	lagrange	NOUN
ejpam-4769	46	4	’s	’s	PART
ejpam-4769	46	5	polynomial	polynomial	ADJ
ejpam-4769	46	6	interpolation	interpolation	NOUN
ejpam-4769	46	7	)	)	PUNCT
ejpam-4769	46	8	the	the	DET
ejpam-4769	46	9	lagrange	lagrange	NOUN
ejpam-4769	46	10	’s	’s	PART
ejpam-4769	46	11	polynomial	polynomial	ADJ
ejpam-4769	46	12	interpolation	interpolation	NOUN
ejpam-4769	46	13	which	which	PRON
ejpam-4769	46	14	defined	define	VERB
ejpam-4769	46	15	by	by	ADP
ejpam-4769	46	16	[	[	X
ejpam-4769	46	17	8	8	NUM
ejpam-4769	46	18	]	]	PUNCT
ejpam-4769	46	19	pn(x	pn(x	X
ejpam-4769	46	20	)	)	PUNCT
ejpam-4769	47	1	=	=	SYM
ejpam-4769	47	2	n∑	n∑	PROPN
ejpam-4769	47	3	i=0	i=0	PROPN
ejpam-4769	47	4	f	f	X
ejpam-4769	47	5	(	(	PUNCT
ejpam-4769	47	6	xi)li(x	xi)li(x	PROPN
ejpam-4769	47	7	)	)	PUNCT
ejpam-4769	47	8	,	,	PUNCT
ejpam-4769	47	9	where	where	SCONJ
ejpam-4769	47	10	li	li	PROPN
ejpam-4769	47	11	(	(	PUNCT
ejpam-4769	47	12	x	x	NOUN
ejpam-4769	47	13	)	)	PUNCT
ejpam-4769	47	14	=	=	PUNCT
ejpam-4769	47	15	n∏	n∏	NOUN
ejpam-4769	47	16	j=0,j	j=0,j	NOUN
ejpam-4769	48	1	̸=i	̸=i	PROPN
ejpam-4769	48	2	x−	x−	PROPN
ejpam-4769	49	1	xi	xi	PROPN
ejpam-4769	49	2	xi	xi	PROPN
ejpam-4769	49	3	−	−	PROPN
ejpam-4769	49	4	xj	xj	PROPN
ejpam-4769	49	5	.	.	PUNCT
ejpam-4769	50	1	definition	definition	NOUN
ejpam-4769	50	2	6	6	NUM
ejpam-4769	50	3	.	.	PUNCT
ejpam-4769	51	1	the	the	DET
ejpam-4769	51	2	abc	abc	PROPN
ejpam-4769	51	3	operator	operator	NOUN
ejpam-4769	51	4	,	,	PUNCT
ejpam-4769	51	5	y	y	PROPN
ejpam-4769	51	6	(	(	PUNCT
ejpam-4769	51	7	t	t	PROPN
ejpam-4769	51	8	)	)	PUNCT
ejpam-4769	51	9	in	in	ADP
ejpam-4769	51	10	the	the	DET
ejpam-4769	51	11	rli	rli	PROPN
ejpam-4769	51	12	is	be	AUX
ejpam-4769	51	13	given	give	VERB
ejpam-4769	51	14	by	by	ADP
ejpam-4769	51	15	[	[	X
ejpam-4769	51	16	7	7	NUM
ejpam-4769	51	17	]	]	PUNCT
ejpam-4769	51	18	:	:	PUNCT
ejpam-4769	51	19	abc	abc	PROPN
ejpam-4769	51	20	0	0	PROPN
ejpam-4769	52	1	dα	dα	PROPN
ejpam-4769	52	2	t	t	PROPN
ejpam-4769	52	3	y	y	PROPN
ejpam-4769	52	4	(	(	PUNCT
ejpam-4769	52	5	t	t	PROPN
ejpam-4769	52	6	)	)	PUNCT
ejpam-4769	53	1	=	=	SYM
ejpam-4769	53	2	b	b	PROPN
ejpam-4769	53	3	(	(	PUNCT
ejpam-4769	53	4	α	α	NOUN
ejpam-4769	53	5	)	)	PUNCT
ejpam-4769	53	6	1−	1−	NUM
ejpam-4769	54	1	α	α	NOUN
ejpam-4769	55	1	d	d	NOUN
ejpam-4769	55	2	dt	dt	X
ejpam-4769	56	1	∫	∫	PROPN
ejpam-4769	56	2	t	t	PROPN
ejpam-4769	56	3	0	0	NUM
ejpam-4769	56	4	y	y	PROPN
ejpam-4769	56	5	(	(	PUNCT
ejpam-4769	56	6	τ)eα	τ)eα	PROPN
ejpam-4769	56	7	(	(	PUNCT
ejpam-4769	56	8	α	α	PROPN
ejpam-4769	56	9	1−	1−	NUM
ejpam-4769	56	10	α	α	NOUN
ejpam-4769	56	11	(	(	PUNCT
ejpam-4769	56	12	t−	t−	PROPN
ejpam-4769	56	13	τ)α	τ)α	ADJ
ejpam-4769	56	14	)	)	PUNCT
ejpam-4769	56	15	dτ	dτ	NOUN
ejpam-4769	56	16	,	,	PUNCT
ejpam-4769	56	17	0	0	NUM
ejpam-4769	56	18	<	<	X
ejpam-4769	56	19	α	α	X
ejpam-4769	56	20	<	<	X
ejpam-4769	56	21	1	1	NUM
ejpam-4769	56	22	.	.	PUNCT
ejpam-4769	56	23	(	(	PUNCT
ejpam-4769	56	24	5	5	NUM
ejpam-4769	56	25	)	)	PUNCT
ejpam-4769	56	26	where	where	SCONJ
ejpam-4769	56	27	b	b	X
ejpam-4769	56	28	(	(	PUNCT
ejpam-4769	56	29	α	α	NOUN
ejpam-4769	56	30	)	)	PUNCT
ejpam-4769	56	31	satisfies	satisfy	VERB
ejpam-4769	56	32	the	the	DET
ejpam-4769	56	33	condition	condition	NOUN
ejpam-4769	56	34	b	b	PROPN
ejpam-4769	56	35	(	(	PUNCT
ejpam-4769	56	36	1	1	NUM
ejpam-4769	56	37	)	)	PUNCT
ejpam-4769	56	38	=	=	SYM
ejpam-4769	56	39	b	b	X
ejpam-4769	56	40	(	(	PUNCT
ejpam-4769	56	41	0	0	NUM
ejpam-4769	56	42	)	)	PUNCT
ejpam-4769	56	43	=	=	NOUN
ejpam-4769	56	44	1	1	NUM
ejpam-4769	56	45	.	.	NOUN
ejpam-4769	56	46	3	3	NUM
ejpam-4769	56	47	.	.	X
ejpam-4769	56	48	numerical	numerical	ADJ
ejpam-4769	56	49	scheme	scheme	NOUN
ejpam-4769	56	50	for	for	ADP
ejpam-4769	56	51	abc	abc	PROPN
ejpam-4769	56	52	the	the	DET
ejpam-4769	56	53	goal	goal	NOUN
ejpam-4769	56	54	of	of	ADP
ejpam-4769	56	55	this	this	DET
ejpam-4769	56	56	section	section	NOUN
ejpam-4769	56	57	is	be	AUX
ejpam-4769	56	58	to	to	PART
ejpam-4769	56	59	investigate	investigate	VERB
ejpam-4769	56	60	chaotic	chaotic	ADJ
ejpam-4769	56	61	models	model	NOUN
ejpam-4769	56	62	in	in	ADP
ejpam-4769	56	63	the	the	DET
ejpam-4769	56	64	sense	sense	NOUN
ejpam-4769	56	65	of	of	ADP
ejpam-4769	56	66	the	the	DET
ejpam-4769	56	67	abc	abc	PROPN
ejpam-4769	56	68	fractional	fractional	PROPN
ejpam-4769	56	69	derivative	derivative	NOUN
ejpam-4769	56	70	,	,	PUNCT
ejpam-4769	56	71	of	of	ADP
ejpam-4769	56	72	the	the	DET
ejpam-4769	56	73	form	form	NOUN
ejpam-4769	56	74	:	:	PUNCT
ejpam-4769	56	75	abc	abc	PROPN
ejpam-4769	56	76	0	0	PUNCT
ejpam-4769	57	1	dα	dα	ADJ
ejpam-4769	57	2	0	0	NUM
ejpam-4769	57	3	v	v	NOUN
ejpam-4769	57	4	(	(	PUNCT
ejpam-4769	57	5	t	t	NOUN
ejpam-4769	57	6	)	)	PUNCT
ejpam-4769	57	7	=	=	SYM
ejpam-4769	57	8	g	g	PROPN
ejpam-4769	57	9	(	(	PUNCT
ejpam-4769	57	10	t	t	PROPN
ejpam-4769	57	11	,	,	PUNCT
ejpam-4769	57	12	v	v	PROPN
ejpam-4769	57	13	(	(	PUNCT
ejpam-4769	57	14	t	t	PROPN
ejpam-4769	57	15	)	)	PUNCT
ejpam-4769	57	16	)	)	PUNCT
ejpam-4769	57	17	,	,	PUNCT
ejpam-4769	57	18	v	v	X
ejpam-4769	57	19	(	(	PUNCT
ejpam-4769	57	20	0	0	NUM
ejpam-4769	57	21	)	)	PUNCT
ejpam-4769	57	22	=	=	SYM
ejpam-4769	57	23	v0	v0	NOUN
ejpam-4769	57	24	.	.	PUNCT
ejpam-4769	58	1	(	(	PUNCT
ejpam-4769	58	2	6	6	NUM
ejpam-4769	58	3	)	)	PUNCT
ejpam-4769	58	4	a	a	DET
ejpam-4769	58	5	fractional	fractional	ADJ
ejpam-4769	58	6	integral	integral	ADJ
ejpam-4769	58	7	equation	equation	NOUN
ejpam-4769	58	8	can	can	AUX
ejpam-4769	58	9	be	be	AUX
ejpam-4769	58	10	derived	derive	VERB
ejpam-4769	58	11	from	from	ADP
ejpam-4769	58	12	the	the	DET
ejpam-4769	58	13	equation	equation	NOUN
ejpam-4769	58	14	above	above	ADP
ejpam-4769	58	15	v(t)−	v(t)−	PROPN
ejpam-4769	58	16	v(0	v(0	PROPN
ejpam-4769	58	17	)	)	PUNCT
ejpam-4769	59	1	=	=	PUNCT
ejpam-4769	59	2	(	(	PUNCT
ejpam-4769	59	3	1−	1−	NUM
ejpam-4769	59	4	α)g(t	α)g(t	NOUN
ejpam-4769	59	5	,	,	PUNCT
ejpam-4769	59	6	v(t	v(t	NOUN
ejpam-4769	59	7	)	)	PUNCT
ejpam-4769	59	8	)	)	PUNCT
ejpam-4769	59	9	abc(α	abc(α	PROPN
ejpam-4769	59	10	)	)	PUNCT
ejpam-4769	60	1	+	+	CCONJ
ejpam-4769	60	2	α	α	PRON
ejpam-4769	60	3	γ(α+	γ(α+	X
ejpam-4769	60	4	1)×abc(α	1)×abc(α	NUM
ejpam-4769	60	5	)	)	PUNCT
ejpam-4769	60	6	∫	∫	PROPN
ejpam-4769	60	7	t	t	PROPN
ejpam-4769	60	8	0	0	NUM
ejpam-4769	60	9	g(τ	g(τ	PROPN
ejpam-4769	60	10	,	,	PUNCT
ejpam-4769	60	11	v(τ))(t−	v(τ))(t−	NOUN
ejpam-4769	60	12	τ)α−1dτ	τ)α−1dτ	VERB
ejpam-4769	60	13	,	,	PUNCT
ejpam-4769	60	14	(	(	PUNCT
ejpam-4769	60	15	7	7	NUM
ejpam-4769	60	16	)	)	PUNCT
ejpam-4769	60	17	where	where	SCONJ
ejpam-4769	60	18	n	n	NOUN
ejpam-4769	60	19	=	=	SYM
ejpam-4769	60	20	0	0	NUM
ejpam-4769	60	21	,	,	PUNCT
ejpam-4769	60	22	1	1	NUM
ejpam-4769	60	23	,	,	PUNCT
ejpam-4769	60	24	2	2	NUM
ejpam-4769	60	25	,	,	PUNCT
ejpam-4769	60	26	3	3	NUM
ejpam-4769	60	27	.	.	PUNCT
ejpam-4769	60	28	.	.	PUNCT
ejpam-4769	61	1	.	.	PUNCT
ejpam-4769	61	2	,	,	PUNCT
ejpam-4769	61	3	reformulated	reformulate	VERB
ejpam-4769	61	4	as	as	ADP
ejpam-4769	61	5	v(tn+1)−	v(tn+1)−	PROPN
ejpam-4769	61	6	v(0	v(0	PROPN
ejpam-4769	61	7	)	)	PUNCT
ejpam-4769	62	1	=	=	PUNCT
ejpam-4769	62	2	(	(	PUNCT
ejpam-4769	62	3	1−	1−	NUM
ejpam-4769	62	4	α)g(tn	α)g(tn	NUM
ejpam-4769	62	5	,	,	PUNCT
ejpam-4769	62	6	v(tn	v(tn	ADJ
ejpam-4769	62	7	)	)	PUNCT
ejpam-4769	62	8	)	)	PUNCT
ejpam-4769	62	9	abc(α	abc(α	PROPN
ejpam-4769	62	10	)	)	PUNCT
ejpam-4769	63	1	+	+	CCONJ
ejpam-4769	63	2	α	α	X
ejpam-4769	63	3	abc(α)×	abc(α)×	ADP
ejpam-4769	63	4	γ(α+	γ(α+	DET
ejpam-4769	63	5	1	1	NUM
ejpam-4769	63	6	)	)	PUNCT
ejpam-4769	63	7	∫	∫	PROPN
ejpam-4769	63	8	tn+1	tn+1	NOUN
ejpam-4769	63	9	0	0	NUM
ejpam-4769	63	10	g	g	PROPN
ejpam-4769	63	11	(	(	PUNCT
ejpam-4769	63	12	τ	τ	PROPN
ejpam-4769	63	13	,	,	PUNCT
ejpam-4769	63	14	v	v	PROPN
ejpam-4769	63	15	(	(	PUNCT
ejpam-4769	63	16	τ	τ	PROPN
ejpam-4769	63	17	)	)	PUNCT
ejpam-4769	63	18	)	)	PUNCT
ejpam-4769	63	19	(	(	PUNCT
ejpam-4769	63	20	tn+1	tn+1	NUM
ejpam-4769	63	21	−	−	PROPN
ejpam-4769	63	22	τ)α−1	τ)α−1	NOUN
ejpam-4769	63	23	dτ	dτ	NOUN
ejpam-4769	63	24	=	=	SYM
ejpam-4769	63	25	(	(	PUNCT
ejpam-4769	63	26	1−	1−	NUM
ejpam-4769	63	27	α)g(tn	α)g(tn	NUM
ejpam-4769	63	28	,	,	PUNCT
ejpam-4769	63	29	v(tn	v(tn	ADJ
ejpam-4769	63	30	)	)	PUNCT
ejpam-4769	63	31	)	)	PUNCT
ejpam-4769	63	32	abc(α	abc(α	PROPN
ejpam-4769	63	33	)	)	PUNCT
ejpam-4769	64	1	+	+	CCONJ
ejpam-4769	64	2	α	α	X
ejpam-4769	64	3	abc(α)×	abc(α)×	ADP
ejpam-4769	64	4	γ(α	γ(α	NOUN
ejpam-4769	64	5	)	)	PUNCT
ejpam-4769	64	6	n∑	n∑	PART
ejpam-4769	65	1	k=0	k=0	PROPN
ejpam-4769	65	2	∫	∫	PROPN
ejpam-4769	65	3	tk+1	tk+1	PROPN
ejpam-4769	65	4	tk	tk	PROPN
ejpam-4769	65	5	g(τ	g(τ	PROPN
ejpam-4769	65	6	,	,	PUNCT
ejpam-4769	65	7	v(τ	v(τ	PROPN
ejpam-4769	65	8	)	)	PUNCT
ejpam-4769	65	9	)	)	PUNCT
ejpam-4769	66	1	(	(	PUNCT
ejpam-4769	66	2	tn+1	tn+1	NUM
ejpam-4769	66	3	−	−	PROPN
ejpam-4769	66	4	τ)α−1	τ)α−1	PROPN
ejpam-4769	66	5	dτ	dτ	NOUN
ejpam-4769	66	6	.	.	PROPN
ejpam-4769	67	1	(	(	PUNCT
ejpam-4769	67	2	8)	8)	NUM
ejpam-4769	67	3	the	the	DET
ejpam-4769	67	4	following	following	NOUN
ejpam-4769	67	5	can	can	AUX
ejpam-4769	67	6	be	be	AUX
ejpam-4769	67	7	approximated	approximate	VERB
ejpam-4769	67	8	using	use	VERB
ejpam-4769	67	9	two	two	NUM
ejpam-4769	67	10	-	-	PUNCT
ejpam-4769	67	11	step	step	NOUN
ejpam-4769	67	12	lagrange	lagrange	NOUN
ejpam-4769	67	13	polynomial	polynomial	ADJ
ejpam-4769	67	14	interpolation	interpolation	NOUN
ejpam-4769	67	15	:	:	PUNCT
ejpam-4769	67	16	pk	pk	NOUN
ejpam-4769	67	17	(	(	PUNCT
ejpam-4769	67	18	τ	τ	X
ejpam-4769	67	19	)	)	PUNCT
ejpam-4769	67	20	=	=	SYM
ejpam-4769	68	1	(	(	PUNCT
ejpam-4769	68	2	τ	τ	X
ejpam-4769	68	3	−	−	PROPN
ejpam-4769	68	4	tk−1)g	tk−1)g	PROPN
ejpam-4769	69	1	(	(	PUNCT
ejpam-4769	69	2	tk	tk	PROPN
ejpam-4769	69	3	,	,	PUNCT
ejpam-4769	69	4	v	v	PROPN
ejpam-4769	69	5	(	(	PUNCT
ejpam-4769	69	6	tk	tk	PROPN
ejpam-4769	69	7	)	)	PUNCT
ejpam-4769	69	8	)	)	PUNCT
ejpam-4769	70	1	tk	tk	PROPN
ejpam-4769	70	2	−	−	PROPN
ejpam-4769	70	3	tk−1	tk−1	PROPN
ejpam-4769	70	4	−	−	PROPN
ejpam-4769	71	1	(	(	PUNCT
ejpam-4769	71	2	τ	τ	PROPN
ejpam-4769	71	3	−	−	PROPN
ejpam-4769	71	4	tk)g	tk)g	PROPN
ejpam-4769	71	5	(	(	PUNCT
ejpam-4769	71	6	tk−1	tk−1	PROPN
ejpam-4769	71	7	,	,	PUNCT
ejpam-4769	71	8	v	v	NOUN
ejpam-4769	71	9	(	(	PUNCT
ejpam-4769	71	10	tk−1	tk−1	PROPN
ejpam-4769	71	11	)	)	PUNCT
ejpam-4769	71	12	)	)	PUNCT
ejpam-4769	71	13	tk	tk	PROPN
ejpam-4769	71	14	−	−	PROPN
ejpam-4769	71	15	tk−1	tk−1	PROPN
ejpam-4769	71	16	=	=	SYM
ejpam-4769	71	17	g	g	PROPN
ejpam-4769	71	18	(	(	PUNCT
ejpam-4769	71	19	tk	tk	PROPN
ejpam-4769	71	20	,	,	PUNCT
ejpam-4769	71	21	v	v	PROPN
ejpam-4769	71	22	(	(	PUNCT
ejpam-4769	71	23	tk	tk	PROPN
ejpam-4769	71	24	)	)	PUNCT
ejpam-4769	71	25	)	)	PUNCT
ejpam-4769	72	1	(	(	PUNCT
ejpam-4769	72	2	τ	τ	PROPN
ejpam-4769	72	3	−	−	PROPN
ejpam-4769	72	4	tk−1	tk−1	PROPN
ejpam-4769	72	5	)	)	PUNCT
ejpam-4769	72	6	h	h	NOUN
ejpam-4769	73	1	−	−	PROPN
ejpam-4769	73	2	g	g	PROPN
ejpam-4769	73	3	(	(	PUNCT
ejpam-4769	73	4	tk−1	tk−1	PROPN
ejpam-4769	73	5	,	,	PUNCT
ejpam-4769	73	6	v	v	NOUN
ejpam-4769	73	7	(	(	PUNCT
ejpam-4769	73	8	tk−1	tk−1	PROPN
ejpam-4769	73	9	)	)	PUNCT
ejpam-4769	73	10	)	)	PUNCT
ejpam-4769	74	1	(	(	PUNCT
ejpam-4769	74	2	τ	τ	PROPN
ejpam-4769	74	3	−	−	PROPN
ejpam-4769	74	4	tk	tk	PROPN
ejpam-4769	74	5	)	)	PUNCT
ejpam-4769	74	6	h	h	PROPN
ejpam-4769	74	7	≃	≃	PROPN
ejpam-4769	74	8	g	g	PROPN
ejpam-4769	74	9	(	(	PUNCT
ejpam-4769	74	10	tk	tk	PROPN
ejpam-4769	74	11	,	,	PUNCT
ejpam-4769	74	12	vk	vk	PROPN
ejpam-4769	74	13	)	)	PUNCT
ejpam-4769	74	14	(	(	PUNCT
ejpam-4769	74	15	τ	τ	PROPN
ejpam-4769	74	16	−	−	PROPN
ejpam-4769	74	17	tk−1	tk−1	PROPN
ejpam-4769	74	18	)	)	PUNCT
ejpam-4769	74	19	h	h	NOUN
ejpam-4769	74	20	−	−	PROPN
ejpam-4769	74	21	g	g	PROPN
ejpam-4769	74	22	(	(	PUNCT
ejpam-4769	74	23	tk−1	tk−1	PROPN
ejpam-4769	74	24	,	,	PUNCT
ejpam-4769	74	25	vk−1	vk−1	PROPN
ejpam-4769	74	26	)	)	PUNCT
ejpam-4769	74	27	(	(	PUNCT
ejpam-4769	74	28	τ	τ	PROPN
ejpam-4769	74	29	−	−	PROPN
ejpam-4769	74	30	tk	tk	PROPN
ejpam-4769	74	31	)	)	PUNCT
ejpam-4769	74	32	h	h	NOUN
ejpam-4769	74	33	,	,	PUNCT
ejpam-4769	74	34	(	(	PUNCT
ejpam-4769	74	35	9	9	X
ejpam-4769	74	36	)	)	PUNCT
ejpam-4769	74	37	a.	a.	NOUN
ejpam-4769	74	38	qazza	qazza	PROPN
ejpam-4769	74	39	et	et	PROPN
ejpam-4769	74	40	al	al	PROPN
ejpam-4769	74	41	.	.	PUNCT
ejpam-4769	74	42	/	/	SYM
ejpam-4769	74	43	eur	eur	PROPN
ejpam-4769	74	44	.	.	PUNCT
ejpam-4769	75	1	j.	j.	PROPN
ejpam-4769	75	2	pure	pure	PROPN
ejpam-4769	75	3	appl	appl	PROPN
ejpam-4769	75	4	.	.	PROPN
ejpam-4769	75	5	math	math	PROPN
ejpam-4769	75	6	,	,	PUNCT
ejpam-4769	75	7	16	16	NUM
ejpam-4769	75	8	(	(	PUNCT
ejpam-4769	75	9	2	2	NUM
ejpam-4769	75	10	)	)	PUNCT
ejpam-4769	75	11	(	(	PUNCT
ejpam-4769	75	12	2023	2023	NUM
ejpam-4769	75	13	)	)	PUNCT
ejpam-4769	75	14	,	,	PUNCT
ejpam-4769	75	15	1128	1128	NUM
ejpam-4769	75	16	-	-	SYM
ejpam-4769	75	17	1139	1139	NUM
ejpam-4769	75	18	1131	1131	NUM
ejpam-4769	75	19	vn+1	vn+1	NOUN
ejpam-4769	75	20	=	=	SYM
ejpam-4769	75	21	v0	v0	PROPN
ejpam-4769	75	22	+	+	CCONJ
ejpam-4769	75	23	(	(	PUNCT
ejpam-4769	75	24	1−	1−	NUM
ejpam-4769	75	25	α	α	NOUN
ejpam-4769	75	26	)	)	PUNCT
ejpam-4769	75	27	abc(α	abc(α	PROPN
ejpam-4769	75	28	)	)	PUNCT
ejpam-4769	75	29	g(tn	g(tn	NOUN
ejpam-4769	75	30	,	,	PUNCT
ejpam-4769	75	31	v(tn	v(tn	NOUN
ejpam-4769	75	32	)	)	PUNCT
ejpam-4769	75	33	)	)	PUNCT
ejpam-4769	76	1	+	+	CCONJ
ejpam-4769	76	2	α	α	X
ejpam-4769	76	3	abc(α)×	abc(α)×	ADP
ejpam-4769	76	4	γ(α	γ(α	NOUN
ejpam-4769	76	5	)	)	PUNCT
ejpam-4769	76	6	n∑	n∑	PART
ejpam-4769	76	7	k=0	k=0	PROPN
ejpam-4769	76	8	(	(	PUNCT
ejpam-4769	76	9	g(tk	g(tk	PROPN
ejpam-4769	76	10	,	,	PUNCT
ejpam-4769	76	11	vk	vk	PROPN
ejpam-4769	76	12	)	)	PUNCT
ejpam-4769	76	13	h	h	NOUN
ejpam-4769	76	14	∫	∫	PROPN
ejpam-4769	77	1	tk+1	tk+1	NUM
ejpam-4769	77	2	tk	tk	PROPN
ejpam-4769	77	3	(	(	PUNCT
ejpam-4769	77	4	τ	τ	PROPN
ejpam-4769	77	5	+	+	NUM
ejpam-4769	77	6	tk−1t)(tn+1	tk−1t)(tn+1	PROPN
ejpam-4769	77	7	−	−	PROPN
ejpam-4769	77	8	τ)α−1dτ	τ)α−1dτ	ADJ
ejpam-4769	77	9	−	−	NOUN
ejpam-4769	77	10	g(tk−1	g(tk−1	NOUN
ejpam-4769	77	11	,	,	PUNCT
ejpam-4769	77	12	vk−1	vk−1	NOUN
ejpam-4769	77	13	)	)	PUNCT
ejpam-4769	77	14	h	h	NOUN
ejpam-4769	77	15	∫	∫	PROPN
ejpam-4769	78	1	tk+1	tk+1	NUM
ejpam-4769	78	2	tk	tk	PROPN
ejpam-4769	78	3	(	(	PUNCT
ejpam-4769	78	4	τ	τ	PROPN
ejpam-4769	78	5	−	−	PROPN
ejpam-4769	78	6	tk)(tn+1	tk)(tn+1	PROPN
ejpam-4769	78	7	−	−	PROPN
ejpam-4769	78	8	τ)α−1dτ	τ)α−1dτ	ADJ
ejpam-4769	78	9	)	)	PUNCT
ejpam-4769	78	10	.	.	PUNCT
ejpam-4769	79	1	(	(	PUNCT
ejpam-4769	79	2	10	10	NUM
ejpam-4769	79	3	)	)	PUNCT
ejpam-4769	79	4	for	for	ADP
ejpam-4769	79	5	simplicity	simplicity	NOUN
ejpam-4769	79	6	aα	aα	PROPN
ejpam-4769	79	7	,	,	PUNCT
ejpam-4769	79	8	k,1	k,1	PROPN
ejpam-4769	79	9	=	=	SYM
ejpam-4769	79	10	∫	∫	PROPN
ejpam-4769	80	1	tk+1	tk+1	NUM
ejpam-4769	80	2	tk	tk	PROPN
ejpam-4769	80	3	(	(	PUNCT
ejpam-4769	80	4	τ	τ	PROPN
ejpam-4769	80	5	−	−	PROPN
ejpam-4769	80	6	tk−1)(tn+1	tk−1)(tn+1	NUM
ejpam-4769	80	7	−	−	NOUN
ejpam-4769	80	8	τ)α−1dτ	τ)α−1dτ	VERB
ejpam-4769	80	9	,	,	PUNCT
ejpam-4769	80	10	(	(	PUNCT
ejpam-4769	80	11	11	11	NUM
ejpam-4769	80	12	)	)	PUNCT
ejpam-4769	80	13	aα	aα	NOUN
ejpam-4769	80	14	,	,	PUNCT
ejpam-4769	80	15	k,2	k,2	X
ejpam-4769	80	16	=	=	SYM
ejpam-4769	80	17	∫	∫	PROPN
ejpam-4769	80	18	tk+1	tk+1	NUM
ejpam-4769	80	19	tk	tk	PROPN
ejpam-4769	80	20	(	(	PUNCT
ejpam-4769	80	21	τ	τ	PROPN
ejpam-4769	80	22	−	−	PROPN
ejpam-4769	80	23	tk)(tn+2	tk)(tn+2	PROPN
ejpam-4769	80	24	−	−	PROPN
ejpam-4769	80	25	τ)α−1dτ	τ)α−1dτ	ADJ
ejpam-4769	80	26	aα	aα	NOUN
ejpam-4769	80	27	,	,	PUNCT
ejpam-4769	80	28	k,1	k,1	PROPN
ejpam-4769	80	29	=	=	ADJ
ejpam-4769	80	30	hα+1	hα+1	NOUN
ejpam-4769	80	31	(	(	PUNCT
ejpam-4769	80	32	n+	n+	X
ejpam-4769	80	33	1−	1−	NUM
ejpam-4769	80	34	k)α(n−	k)α(n−	VERB
ejpam-4769	80	35	k	k	PROPN
ejpam-4769	81	1	+	+	CCONJ
ejpam-4769	81	2	2	2	NUM
ejpam-4769	81	3	+	+	X
ejpam-4769	81	4	α)−	α)−	PROPN
ejpam-4769	81	5	(	(	PUNCT
ejpam-4769	81	6	n−	n−	NOUN
ejpam-4769	81	7	k)α(n−	k)α(n−	VERB
ejpam-4769	81	8	k	k	PROPN
ejpam-4769	82	1	+	+	CCONJ
ejpam-4769	82	2	2	2	NUM
ejpam-4769	82	3	+	+	NUM
ejpam-4769	82	4	2α	2α	NOUN
ejpam-4769	82	5	)	)	PUNCT
ejpam-4769	82	6	α(α+	α(α+	NUM
ejpam-4769	82	7	1	1	NUM
ejpam-4769	82	8	)	)	PUNCT
ejpam-4769	82	9	aα	aα	NOUN
ejpam-4769	82	10	,	,	PUNCT
ejpam-4769	82	11	k,2	k,2	X
ejpam-4769	82	12	=	=	SYM
ejpam-4769	82	13	(	(	PUNCT
ejpam-4769	82	14	hα+1	hα+1	NOUN
ejpam-4769	82	15	)	)	PUNCT
ejpam-4769	82	16	(	(	PUNCT
ejpam-4769	82	17	n+	n+	NUM
ejpam-4769	82	18	1−	1−	NUM
ejpam-4769	82	19	k)α+1	k)α+1	NOUN
ejpam-4769	82	20	−	−	PROPN
ejpam-4769	82	21	(	(	PUNCT
ejpam-4769	82	22	n−	n−	NOUN
ejpam-4769	82	23	k)α(n−	k)α(n−	VERB
ejpam-4769	82	24	k	k	PROPN
ejpam-4769	83	1	+	+	CCONJ
ejpam-4769	83	2	1	1	NUM
ejpam-4769	83	3	+	+	NUM
ejpam-4769	83	4	α	α	X
ejpam-4769	83	5	)	)	PUNCT
ejpam-4769	83	6	α(α+	α(α+	NUM
ejpam-4769	83	7	1	1	NUM
ejpam-4769	83	8	)	)	PUNCT
ejpam-4769	83	9	.	.	PUNCT
ejpam-4769	84	1	(	(	PUNCT
ejpam-4769	84	2	12	12	NUM
ejpam-4769	84	3	)	)	PUNCT
ejpam-4769	84	4	by	by	ADP
ejpam-4769	84	5	combining	combine	VERB
ejpam-4769	84	6	equations	equation	NOUN
ejpam-4769	84	7	(	(	PUNCT
ejpam-4769	84	8	11	11	NUM
ejpam-4769	84	9	)	)	PUNCT
ejpam-4769	84	10	and	and	CCONJ
ejpam-4769	84	11	(	(	PUNCT
ejpam-4769	84	12	12	12	NUM
ejpam-4769	84	13	)	)	PUNCT
ejpam-4769	84	14	and	and	CCONJ
ejpam-4769	84	15	substituting	substitute	VERB
ejpam-4769	84	16	in	in	ADP
ejpam-4769	84	17	(	(	PUNCT
ejpam-4769	84	18	10	10	NUM
ejpam-4769	84	19	)	)	PUNCT
ejpam-4769	84	20	,	,	PUNCT
ejpam-4769	84	21	vn+1	vn+1	PROPN
ejpam-4769	84	22	=	=	SYM
ejpam-4769	84	23	v(1	v(1	PROPN
ejpam-4769	84	24	)	)	PUNCT
ejpam-4769	85	1	+	+	CCONJ
ejpam-4769	85	2	(	(	PUNCT
ejpam-4769	85	3	1−	1−	NUM
ejpam-4769	85	4	α	α	NOUN
ejpam-4769	85	5	)	)	PUNCT
ejpam-4769	85	6	abc(α	abc(α	PROPN
ejpam-4769	85	7	)	)	PUNCT
ejpam-4769	85	8	g	g	PROPN
ejpam-4769	85	9	(	(	PUNCT
ejpam-4769	85	10	tn	tn	PROPN
ejpam-4769	85	11	,	,	PUNCT
ejpam-4769	85	12	v	v	PROPN
ejpam-4769	85	13	(	(	PUNCT
ejpam-4769	85	14	tn	tn	NOUN
ejpam-4769	85	15	)	)	PUNCT
ejpam-4769	85	16	)	)	PUNCT
ejpam-4769	86	1	+	+	CCONJ
ejpam-4769	86	2	α	α	PROPN
ejpam-4769	86	3	abc(α	abc(α	PROPN
ejpam-4769	86	4	)	)	PUNCT
ejpam-4769	86	5	n∑	n∑	NOUN
ejpam-4769	86	6	j=0	j=0	PROPN
ejpam-4769	86	7	(	(	PUNCT
ejpam-4769	86	8	hαg	hαg	PROPN
ejpam-4769	86	9	(	(	PUNCT
ejpam-4769	86	10	tk	tk	PROPN
ejpam-4769	86	11	,	,	PUNCT
ejpam-4769	86	12	vk	vk	PROPN
ejpam-4769	86	13	)	)	PUNCT
ejpam-4769	86	14	γ(α+	γ(α+	DET
ejpam-4769	86	15	1	1	NUM
ejpam-4769	86	16	)	)	PUNCT
ejpam-4769	86	17	(	(	PUNCT
ejpam-4769	86	18	(	(	PUNCT
ejpam-4769	86	19	1	1	NUM
ejpam-4769	86	20	+	+	NUM
ejpam-4769	86	21	n−	n−	PROPN
ejpam-4769	86	22	j)α	j)α	X
ejpam-4769	86	23	(	(	PUNCT
ejpam-4769	86	24	2	2	NUM
ejpam-4769	86	25	+	+	CCONJ
ejpam-4769	86	26	α+	α+	PRON
ejpam-4769	86	27	n−	n−	NOUN
ejpam-4769	86	28	k	k	NOUN
ejpam-4769	86	29	)	)	PUNCT
ejpam-4769	86	30	+	+	CCONJ
ejpam-4769	86	31	(	(	PUNCT
ejpam-4769	86	32	j	j	PROPN
ejpam-4769	86	33	−	−	PROPN
ejpam-4769	86	34	n)α(2	n)α(2	NOUN
ejpam-4769	86	35	+	+	CCONJ
ejpam-4769	86	36	n−	n−	PROPN
ejpam-4769	86	37	k	k	NOUN
ejpam-4769	86	38	+	+	CCONJ
ejpam-4769	86	39	2α	2α	NOUN
ejpam-4769	86	40	)	)	PUNCT
ejpam-4769	86	41	)	)	PUNCT
ejpam-4769	87	1	−	−	PROPN
ejpam-4769	87	2	hαg	hαg	NOUN
ejpam-4769	87	3	(	(	PUNCT
ejpam-4769	87	4	tj−1	tj−1	PROPN
ejpam-4769	87	5	,	,	PUNCT
ejpam-4769	87	6	vj−1	vj−1	PROPN
ejpam-4769	87	7	)	)	PUNCT
ejpam-4769	87	8	γ(1	γ(1	PROPN
ejpam-4769	88	1	+	+	CCONJ
ejpam-4769	88	2	α	α	X
ejpam-4769	88	3	)	)	PUNCT
ejpam-4769	88	4	(	(	PUNCT
ejpam-4769	88	5	(	(	PUNCT
ejpam-4769	88	6	n−	n−	NOUN
ejpam-4769	88	7	j	j	NOUN
ejpam-4769	88	8	+	+	CCONJ
ejpam-4769	88	9	1)α+1	1)α+1	NUM
ejpam-4769	89	1	+	+	CCONJ
ejpam-4769	89	2	(	(	PUNCT
ejpam-4769	89	3	j	j	PROPN
ejpam-4769	89	4	−	−	PROPN
ejpam-4769	89	5	n)α(n−	n)α(n−	ADP
ejpam-4769	89	6	j	j	PROPN
ejpam-4769	90	1	+	+	CCONJ
ejpam-4769	90	2	1	1	NUM
ejpam-4769	90	3	+	+	NUM
ejpam-4769	90	4	α	α	NOUN
ejpam-4769	90	5	)	)	PUNCT
ejpam-4769	90	6	)	)	PUNCT
ejpam-4769	90	7	)	)	PUNCT
ejpam-4769	90	8	.	.	PUNCT
ejpam-4769	91	1	(	(	PUNCT
ejpam-4769	91	2	13	13	NUM
ejpam-4769	91	3	)	)	SYM
ejpam-4769	91	4	4	4	NUM
ejpam-4769	91	5	.	.	PUNCT
ejpam-4769	91	6	applications	application	NOUN
ejpam-4769	91	7	in	in	ADP
ejpam-4769	91	8	this	this	DET
ejpam-4769	91	9	part	part	NOUN
ejpam-4769	91	10	,	,	PUNCT
ejpam-4769	91	11	we	we	PRON
ejpam-4769	91	12	explore	explore	VERB
ejpam-4769	91	13	the	the	DET
ejpam-4769	91	14	usefulness	usefulness	NOUN
ejpam-4769	91	15	of	of	ADP
ejpam-4769	91	16	the	the	DET
ejpam-4769	91	17	novel	novel	ADJ
ejpam-4769	91	18	scheme	scheme	NOUN
ejpam-4769	91	19	for	for	ADP
ejpam-4769	91	20	abc	abc	PROPN
ejpam-4769	91	21	fractional	fractional	PROPN
ejpam-4769	91	22	derivative	derivative	NOUN
ejpam-4769	91	23	for	for	ADP
ejpam-4769	91	24	solving	solve	VERB
ejpam-4769	91	25	an	an	DET
ejpam-4769	91	26	initial	initial	ADJ
ejpam-4769	91	27	value	value	NOUN
ejpam-4769	91	28	problem	problem	NOUN
ejpam-4769	91	29	(	(	PUNCT
ejpam-4769	91	30	ivp	ivp	NOUN
ejpam-4769	91	31	)	)	PUNCT
ejpam-4769	91	32	numerically	numerically	ADV
ejpam-4769	91	33	.	.	PUNCT
ejpam-4769	92	1	problem	problem	NOUN
ejpam-4769	92	2	1	1	X
ejpam-4769	92	3	.	.	PUNCT
ejpam-4769	93	1	we	we	PRON
ejpam-4769	93	2	start	start	VERB
ejpam-4769	93	3	with	with	ADP
ejpam-4769	93	4	the	the	DET
ejpam-4769	93	5	bernoulli	bernoulli	NOUN
ejpam-4769	93	6	equation	equation	NOUN
ejpam-4769	93	7	[	[	X
ejpam-4769	93	8	7	7	NUM
ejpam-4769	93	9	]	]	PUNCT
ejpam-4769	93	10	:	:	PUNCT
ejpam-4769	93	11	abc	abc	PROPN
ejpam-4769	93	12	0	0	PROPN
ejpam-4769	94	1	dα	dα	PROPN
ejpam-4769	94	2	t	t	PROPN
ejpam-4769	94	3	y(t	y(t	PROPN
ejpam-4769	94	4	)	)	PUNCT
ejpam-4769	95	1	=	=	PUNCT
ejpam-4769	96	1	2y(t)−	2y(t)−	NUM
ejpam-4769	96	2	4y2(t	4y2(t	NOUN
ejpam-4769	96	3	)	)	PUNCT
ejpam-4769	96	4	,	,	PUNCT
ejpam-4769	96	5	(	(	PUNCT
ejpam-4769	96	6	14	14	NUM
ejpam-4769	96	7	)	)	PUNCT
ejpam-4769	97	1	where	where	SCONJ
ejpam-4769	97	2	0	0	NUM
ejpam-4769	97	3	<	<	X
ejpam-4769	97	4	α	α	X
ejpam-4769	97	5	≤	≤	NUM
ejpam-4769	97	6	1	1	NUM
ejpam-4769	97	7	and	and	CCONJ
ejpam-4769	97	8	y(0	y(0	PROPN
ejpam-4769	97	9	)	)	PUNCT
ejpam-4769	97	10	=	=	SYM
ejpam-4769	98	1	1	1	NUM
ejpam-4769	98	2	,	,	PUNCT
ejpam-4769	98	3	abc	abc	PROPN
ejpam-4769	98	4	0	0	PROPN
ejpam-4769	98	5	dα	dα	PROPN
ejpam-4769	98	6	t	t	PROPN
ejpam-4769	98	7	is	be	AUX
ejpam-4769	98	8	abc	abc	PROPN
ejpam-4769	98	9	operator	operator	NOUN
ejpam-4769	98	10	,	,	PUNCT
ejpam-4769	98	11	given	give	VERB
ejpam-4769	98	12	in	in	ADP
ejpam-4769	98	13	eq	eq	ADP
ejpam-4769	98	14	.	.	PUNCT
ejpam-4769	99	1	(	(	PUNCT
ejpam-4769	99	2	7	7	NUM
ejpam-4769	99	3	)	)	PUNCT
ejpam-4769	99	4	.	.	PUNCT
ejpam-4769	100	1	the	the	DET
ejpam-4769	100	2	exact	exact	ADJ
ejpam-4769	100	3	solution	solution	NOUN
ejpam-4769	100	4	of	of	ADP
ejpam-4769	100	5	the	the	DET
ejpam-4769	100	6	bernoulli	bernoulli	NOUN
ejpam-4769	100	7	equation	equation	NOUN
ejpam-4769	100	8	is	be	AUX
ejpam-4769	100	9	y(t	y(t	PROPN
ejpam-4769	100	10	)	)	PUNCT
ejpam-4769	101	1	=	=	SYM
ejpam-4769	101	2	−1	−1	NOUN
ejpam-4769	102	1	e−2	e−2	PROPN
ejpam-4769	102	2	t	t	PROPN
ejpam-4769	102	3	−	−	PROPN
ejpam-4769	102	4	1	1	NUM
ejpam-4769	102	5	,	,	PUNCT
ejpam-4769	102	6	(	(	PUNCT
ejpam-4769	102	7	15	15	NUM
ejpam-4769	102	8	)	)	PUNCT
ejpam-4769	102	9	under	under	ADP
ejpam-4769	102	10	y(0	y(0	PROPN
ejpam-4769	102	11	)	)	PUNCT
ejpam-4769	102	12	=	=	SYM
ejpam-4769	102	13	1	1	NUM
ejpam-4769	102	14	,	,	PUNCT
ejpam-4769	102	15	where	where	SCONJ
ejpam-4769	102	16	abc	abc	PROPN
ejpam-4769	102	17	0	0	PROPN
ejpam-4769	102	18	dα	dα	PROPN
ejpam-4769	102	19	t	t	PROPN
ejpam-4769	102	20	is	be	AUX
ejpam-4769	102	21	defined	define	VERB
ejpam-4769	102	22	by	by	ADP
ejpam-4769	102	23	eq	eq	PROPN
ejpam-4769	102	24	.	.	PUNCT
ejpam-4769	103	1	(	(	PUNCT
ejpam-4769	103	2	5	5	NUM
ejpam-4769	103	3	)	)	PUNCT
ejpam-4769	103	4	with	with	ADP
ejpam-4769	103	5	the	the	DET
ejpam-4769	103	6	parameter	parameter	NOUN
ejpam-4769	103	7	α	α	NOUN
ejpam-4769	103	8	,	,	PUNCT
ejpam-4769	103	9	when	when	SCONJ
ejpam-4769	103	10	α	α	PROPN
ejpam-4769	103	11	=	=	SYM
ejpam-4769	103	12	1	1	NUM
ejpam-4769	103	13	,	,	PUNCT
ejpam-4769	103	14	the	the	DET
ejpam-4769	103	15	bernoulli	bernoulli	PROPN
ejpam-4769	103	16	equation	equation	NOUN
ejpam-4769	103	17	(	(	PUNCT
ejpam-4769	103	18	14	14	NUM
ejpam-4769	103	19	)	)	PUNCT
ejpam-4769	103	20	has	have	VERB
ejpam-4769	103	21	an	an	DET
ejpam-4769	103	22	exact	exact	ADJ
ejpam-4769	103	23	solution	solution	NOUN
ejpam-4769	103	24	according	accord	VERB
ejpam-4769	103	25	to	to	ADP
ejpam-4769	103	26	the	the	DET
ejpam-4769	103	27	proposed	propose	VERB
ejpam-4769	103	28	the	the	DET
ejpam-4769	103	29	numerical	numerical	PROPN
ejpam-4769	103	30	a.	a.	PROPN
ejpam-4769	103	31	qazza	qazza	PROPN
ejpam-4769	103	32	et	et	PROPN
ejpam-4769	103	33	al	al	PROPN
ejpam-4769	103	34	.	.	PUNCT
ejpam-4769	103	35	/	/	SYM
ejpam-4769	103	36	eur	eur	PROPN
ejpam-4769	103	37	.	.	PUNCT
ejpam-4769	104	1	j.	j.	PROPN
ejpam-4769	104	2	pure	pure	PROPN
ejpam-4769	104	3	appl	appl	PROPN
ejpam-4769	104	4	.	.	PROPN
ejpam-4769	104	5	math	math	PROPN
ejpam-4769	104	6	,	,	PUNCT
ejpam-4769	104	7	16	16	NUM
ejpam-4769	104	8	(	(	PUNCT
ejpam-4769	104	9	2	2	NUM
ejpam-4769	104	10	)	)	PUNCT
ejpam-4769	104	11	(	(	PUNCT
ejpam-4769	104	12	2023	2023	NUM
ejpam-4769	104	13	)	)	PUNCT
ejpam-4769	104	14	,	,	PUNCT
ejpam-4769	104	15	1128	1128	NUM
ejpam-4769	104	16	-	-	SYM
ejpam-4769	104	17	1139	1139	NUM
ejpam-4769	104	18	1132	1132	NUM
ejpam-4769	104	19	scheme	scheme	NOUN
ejpam-4769	104	20	for	for	ADP
ejpam-4769	104	21	abc	abc	PROPN
ejpam-4769	104	22	fractional	fractional	PROPN
ejpam-4769	104	23	derivative	derivative	NOUN
ejpam-4769	104	24	,	,	PUNCT
ejpam-4769	104	25	and	and	CCONJ
ejpam-4769	104	26	we	we	PRON
ejpam-4769	104	27	show	show	VERB
ejpam-4769	104	28	this	this	DET
ejpam-4769	104	29	results	result	NOUN
ejpam-4769	104	30	in	in	ADP
ejpam-4769	104	31	the	the	DET
ejpam-4769	104	32	table	table	NOUN
ejpam-4769	104	33	1	1	NUM
ejpam-4769	104	34	and	and	CCONJ
ejpam-4769	104	35	table	table	NOUN
ejpam-4769	104	36	2	2	NUM
ejpam-4769	104	37	.	.	PUNCT
ejpam-4769	104	38	table	table	NOUN
ejpam-4769	104	39	1	1	NUM
ejpam-4769	104	40	:	:	PUNCT
ejpam-4769	104	41	the	the	DET
ejpam-4769	104	42	numerical	numerical	ADJ
ejpam-4769	104	43	solutions	solution	NOUN
ejpam-4769	104	44	of	of	ADP
ejpam-4769	104	45	eq	eq	PROPN
ejpam-4769	104	46	.	.	PUNCT
ejpam-4769	105	1	(	(	PUNCT
ejpam-4769	105	2	14	14	NUM
ejpam-4769	105	3	)	)	PUNCT
ejpam-4769	105	4	when	when	SCONJ
ejpam-4769	105	5	α	α	NOUN
ejpam-4769	105	6	=	=	NOUN
ejpam-4769	105	7	1	1	X
ejpam-4769	105	8	.	.	PUNCT
ejpam-4769	105	9	h	h	PROPN
ejpam-4769	105	10	t	t	NOUN
ejpam-4769	106	1	=	=	PUNCT
ejpam-4769	106	2	10	10	NUM
ejpam-4769	106	3	t	t	NOUN
ejpam-4769	106	4	=	=	SYM
ejpam-4769	106	5	12	12	NUM
ejpam-4769	106	6	t	t	NOUN
ejpam-4769	106	7	=	=	SYM
ejpam-4769	107	1	14	14	NUM
ejpam-4769	107	2	1/10	1/10	NUM
ejpam-4769	107	3	0.500000000938279	0.500000000938279	NUM
ejpam-4769	107	4	0.500000000018475	0.500000000018475	NUM
ejpam-4769	107	5	0.500000000000364	0.500000000000364	NUM
ejpam-4769	107	6	1/20	1/20	NUM
ejpam-4769	107	7	0.500000000627998	0.500000000627998	NUM
ejpam-4769	107	8	0.500000000011706	0.500000000011706	NUM
ejpam-4769	107	9	0.500000000000218	0.500000000000218	NUM
ejpam-4769	107	10	1/40	1/40	NUM
ejpam-4769	107	11	0.500000000554842	0.500000000554842	NUM
ejpam-4769	107	12	0.500000000010206	0.500000000010206	NUM
ejpam-4769	107	13	0.500000000000188	0.500000000000188	NUM
ejpam-4769	107	14	1/80	1/80	NUM
ejpam-4769	107	15	0.500000000531467	0.500000000531467	NUM
ejpam-4769	107	16	0.500000000009744	0.500000000009744	NUM
ejpam-4769	107	17	0.500000000000179	0.500000000000179	NUM
ejpam-4769	107	18	1/160	1/160	NUM
ejpam-4769	107	19	0.500000000522537	0.500000000522537	NUM
ejpam-4769	107	20	0.500000000009573	0.500000000009573	NUM
ejpam-4769	107	21	0.500000000000175	0.500000000000175	NUM
ejpam-4769	107	22	1/320	1/320	NUM
ejpam-4769	107	23	0.500000000518709	0.500000000518709	NUM
ejpam-4769	107	24	0.50000000000950	0.50000000000950	NUM
ejpam-4769	107	25	0.500000000000174	0.500000000000174	NUM
ejpam-4769	107	26	1/640	1/640	NUM
ejpam-4769	107	27	0.500000000516948	0.500000000516948	NUM
ejpam-4769	107	28	0.500000000009468	0.500000000009468	NUM
ejpam-4769	107	29	0.500000000000173	0.500000000000173	NUM
ejpam-4769	107	30	yexact	yexact	NOUN
ejpam-4769	107	31	0.500000000515288	0.500000000515288	NUM
ejpam-4769	107	32	0.500000000009438	0.500000000009438	NUM
ejpam-4769	107	33	0.500000000000173	0.500000000000173	NUM
ejpam-4769	107	34	table	table	NOUN
ejpam-4769	107	35	2	2	NUM
ejpam-4769	107	36	:	:	PUNCT
ejpam-4769	107	37	the	the	DET
ejpam-4769	107	38	numerical	numerical	ADJ
ejpam-4769	107	39	solutions	solution	NOUN
ejpam-4769	107	40	of	of	ADP
ejpam-4769	107	41	eq	eq	PROPN
ejpam-4769	107	42	.	.	PUNCT
ejpam-4769	108	1	(	(	PUNCT
ejpam-4769	108	2	14	14	NUM
ejpam-4769	108	3	)	)	PUNCT
ejpam-4769	108	4	when	when	SCONJ
ejpam-4769	108	5	α	α	NOUN
ejpam-4769	108	6	=	=	NOUN
ejpam-4769	108	7	0.99	0.99	NUM
ejpam-4769	108	8	.	.	PUNCT
ejpam-4769	109	1	h	h	NOUN
ejpam-4769	109	2	t	t	NOUN
ejpam-4769	110	1	=	=	PUNCT
ejpam-4769	110	2	10	10	NUM
ejpam-4769	110	3	t	t	NOUN
ejpam-4769	110	4	=	=	SYM
ejpam-4769	110	5	12	12	NUM
ejpam-4769	110	6	t	t	NOUN
ejpam-4769	110	7	=	=	SYM
ejpam-4769	110	8	14	14	NUM
ejpam-4769	110	9	1/10	1/10	NUM
ejpam-4769	110	10	0.500000003717573	0.500000003717573	NUM
ejpam-4769	110	11	0.500000002289498	0.500000002289498	NUM
ejpam-4769	110	12	0.500000001921669	0.500000001921669	NUM
ejpam-4769	110	13	1/20	1/20	NUM
ejpam-4769	110	14	0.500000003391435	0.500000003391435	NUM
ejpam-4769	110	15	0.500000002272609	0.500000002272609	NUM
ejpam-4769	110	16	0.500000001916067	0.500000001916067	NUM
ejpam-4769	110	17	1/40	1/40	NUM
ejpam-4769	110	18	0.500000003312222	0.500000003312222	NUM
ejpam-4769	110	19	0.500000002268483	0.500000002268483	NUM
ejpam-4769	110	20	0.500000001909773	0.500000001909773	NUM
ejpam-4769	110	21	1/80	1/80	NUM
ejpam-4769	110	22	0.500000003291813	0.500000003291813	NUM
ejpam-4769	110	23	0.500000002273635	0.500000002273635	NUM
ejpam-4769	110	24	0.500000001940562	0.500000001940562	NUM
ejpam-4769	110	25	1/160	1/160	NUM
ejpam-4769	110	26	0.500000003340172	0.500000003340172	NUM
ejpam-4769	110	27	0.500000002329872	0.500000002329872	NUM
ejpam-4769	110	28	0.500000001934836	0.500000001934836	NUM
ejpam-4769	110	29	1/320	1/320	NUM
ejpam-4769	110	30	0.500000003462054	0.500000003462054	NUM
ejpam-4769	110	31	0.500000002529303	0.500000002529303	NUM
ejpam-4769	110	32	0.500000002330563	0.500000002330563	NUM
ejpam-4769	110	33	1/640	1/640	NUM
ejpam-4769	110	34	0.500000004155025	0.500000004155025	NUM
ejpam-4769	110	35	0.500000003461087	0.500000003461087	NUM
ejpam-4769	110	36	0.500000004209577	0.500000004209577	NUM
ejpam-4769	110	37	in	in	ADP
ejpam-4769	110	38	table	table	NOUN
ejpam-4769	110	39	1	1	NUM
ejpam-4769	110	40	,	,	PUNCT
ejpam-4769	110	41	we	we	PRON
ejpam-4769	110	42	provide	provide	VERB
ejpam-4769	110	43	numerical	numerical	ADJ
ejpam-4769	110	44	results	result	NOUN
ejpam-4769	110	45	from	from	ADP
ejpam-4769	110	46	our	our	PRON
ejpam-4769	110	47	novel	novel	ADJ
ejpam-4769	110	48	scheme	scheme	NOUN
ejpam-4769	110	49	for	for	ADP
ejpam-4769	110	50	abc	abc	PROPN
ejpam-4769	110	51	fractional	fractional	PROPN
ejpam-4769	110	52	derivative	derivative	NOUN
ejpam-4769	110	53	to	to	AUX
ejpam-4769	110	54	fractional	fractional	VERB
ejpam-4769	110	55	bernoulli	bernoulli	NOUN
ejpam-4769	110	56	equation	equation	NOUN
ejpam-4769	110	57	eq	eq	ADJ
ejpam-4769	110	58	.	.	PUNCT
ejpam-4769	111	1	(	(	PUNCT
ejpam-4769	111	2	14	14	NUM
ejpam-4769	111	3	)	)	PUNCT
ejpam-4769	111	4	when	when	SCONJ
ejpam-4769	111	5	α	α	NOUN
ejpam-4769	111	6	=	=	NOUN
ejpam-4769	111	7	1	1	NUM
ejpam-4769	111	8	at	at	ADP
ejpam-4769	111	9	t	t	NOUN
ejpam-4769	111	10	=	=	SYM
ejpam-4769	111	11	10	10	NUM
ejpam-4769	111	12	,	,	PUNCT
ejpam-4769	111	13	t	t	NOUN
ejpam-4769	112	1	=	=	NUM
ejpam-4769	112	2	12	12	NUM
ejpam-4769	112	3	and	and	CCONJ
ejpam-4769	112	4	t	t	NOUN
ejpam-4769	112	5	=	=	SYM
ejpam-4769	112	6	14	14	NUM
ejpam-4769	112	7	,	,	PUNCT
ejpam-4769	112	8	and	and	CCONJ
ejpam-4769	112	9	when	when	SCONJ
ejpam-4769	112	10	α	α	NOUN
ejpam-4769	113	1	=	=	NOUN
ejpam-4769	113	2	0.99	0.99	NUM
ejpam-4769	113	3	at	at	ADP
ejpam-4769	113	4	t	t	PROPN
ejpam-4769	113	5	=	=	SYM
ejpam-4769	113	6	10	10	NUM
ejpam-4769	113	7	,	,	PUNCT
ejpam-4769	113	8	t	t	NOUN
ejpam-4769	114	1	=	=	NUM
ejpam-4769	114	2	12	12	NUM
ejpam-4769	114	3	and	and	CCONJ
ejpam-4769	114	4	t	t	NOUN
ejpam-4769	115	1	=	=	SYM
ejpam-4769	115	2	14	14	NUM
ejpam-4769	115	3	in	in	ADP
ejpam-4769	115	4	table	table	NOUN
ejpam-4769	115	5	2	2	NUM
ejpam-4769	115	6	.	.	PUNCT
ejpam-4769	116	1	the	the	DET
ejpam-4769	116	2	numerical	numerical	ADJ
ejpam-4769	116	3	answers	answer	NOUN
ejpam-4769	116	4	we	we	PRON
ejpam-4769	116	5	provided	provide	VERB
ejpam-4769	116	6	matched	match	VERB
ejpam-4769	116	7	the	the	DET
ejpam-4769	116	8	exact	exact	ADJ
ejpam-4769	116	9	solution	solution	NOUN
ejpam-4769	116	10	perfectly	perfectly	ADV
ejpam-4769	116	11	,	,	PUNCT
ejpam-4769	116	12	and	and	CCONJ
ejpam-4769	116	13	the	the	DET
ejpam-4769	116	14	step	step	NOUN
ejpam-4769	116	15	size	size	NOUN
ejpam-4769	116	16	h	h	NOUN
ejpam-4769	116	17	is	be	AUX
ejpam-4769	116	18	small	small	ADJ
ejpam-4769	116	19	enough	enough	ADV
ejpam-4769	116	20	.	.	PUNCT
ejpam-4769	117	1	a.	a.	NOUN
ejpam-4769	117	2	qazza	qazza	PROPN
ejpam-4769	117	3	et	et	PROPN
ejpam-4769	117	4	al	al	PROPN
ejpam-4769	117	5	.	.	PUNCT
ejpam-4769	117	6	/	/	SYM
ejpam-4769	117	7	eur	eur	PROPN
ejpam-4769	117	8	.	.	PUNCT
ejpam-4769	118	1	j.	j.	PROPN
ejpam-4769	118	2	pure	pure	PROPN
ejpam-4769	118	3	appl	appl	PROPN
ejpam-4769	118	4	.	.	PROPN
ejpam-4769	118	5	math	math	PROPN
ejpam-4769	118	6	,	,	PUNCT
ejpam-4769	118	7	16	16	NUM
ejpam-4769	118	8	(	(	PUNCT
ejpam-4769	118	9	2	2	NUM
ejpam-4769	118	10	)	)	PUNCT
ejpam-4769	118	11	(	(	PUNCT
ejpam-4769	118	12	2023	2023	NUM
ejpam-4769	118	13	)	)	PUNCT
ejpam-4769	118	14	,	,	PUNCT
ejpam-4769	118	15	1128	1128	NUM
ejpam-4769	118	16	-	-	SYM
ejpam-4769	118	17	1139	1139	NUM
ejpam-4769	118	18	1133	1133	NUM
ejpam-4769	118	19	figure	figure	NOUN
ejpam-4769	118	20	1	1	NUM
ejpam-4769	118	21	:	:	PUNCT
ejpam-4769	118	22	a	a	DET
ejpam-4769	118	23	comparison	comparison	NOUN
ejpam-4769	118	24	between	between	ADP
ejpam-4769	118	25	the	the	DET
ejpam-4769	118	26	exact	exact	ADJ
ejpam-4769	118	27	and	and	CCONJ
ejpam-4769	118	28	approximate	approximate	ADJ
ejpam-4769	118	29	solutions	solution	NOUN
ejpam-4769	118	30	of	of	ADP
ejpam-4769	118	31	eq	eq	PROPN
ejpam-4769	118	32	.	.	PUNCT
ejpam-4769	119	1	(	(	PUNCT
ejpam-4769	119	2	14	14	NUM
ejpam-4769	119	3	)	)	PUNCT
ejpam-4769	119	4	.	.	PUNCT
ejpam-4769	120	1	problem	problem	NOUN
ejpam-4769	121	1	2	2	X
ejpam-4769	121	2	.	.	PUNCT
ejpam-4769	122	1	we	we	PRON
ejpam-4769	122	2	discuss	discuss	VERB
ejpam-4769	122	3	the	the	DET
ejpam-4769	122	4	chen	chen	PROPN
ejpam-4769	122	5	system:	system:	PROPN
ejpam-4769	122	6	abc	abc	PROPN
ejpam-4769	122	7	0	0	PROPN
ejpam-4769	122	8	dα	dα	PROPN
ejpam-4769	122	9	t	t	PROPN
ejpam-4769	122	10	u	u	PROPN
ejpam-4769	122	11	(	(	PUNCT
ejpam-4769	122	12	t	t	PROPN
ejpam-4769	122	13	)	)	PUNCT
ejpam-4769	122	14	=	=	PUNCT
ejpam-4769	123	1	a(v	a(v	PROPN
ejpam-4769	123	2	(	(	PUNCT
ejpam-4769	123	3	t)−	t)−	PROPN
ejpam-4769	123	4	u(t	u(t	NOUN
ejpam-4769	123	5	)	)	PUNCT
ejpam-4769	123	6	)	)	PUNCT
ejpam-4769	123	7	,	,	PUNCT
ejpam-4769	123	8	abc	abc	PROPN
ejpam-4769	123	9	0	0	PROPN
ejpam-4769	123	10	dα	dα	PROPN
ejpam-4769	123	11	t	t	PROPN
ejpam-4769	123	12	v	v	PROPN
ejpam-4769	123	13	(	(	PUNCT
ejpam-4769	123	14	t	t	PROPN
ejpam-4769	123	15	)	)	PUNCT
ejpam-4769	123	16	=	=	PUNCT
ejpam-4769	123	17	(	(	PUNCT
ejpam-4769	123	18	c−	c−	NOUN
ejpam-4769	123	19	a)u	a)u	NOUN
ejpam-4769	123	20	(	(	PUNCT
ejpam-4769	123	21	t)−	t)−	PROPN
ejpam-4769	123	22	u	u	NOUN
ejpam-4769	123	23	(	(	PUNCT
ejpam-4769	123	24	t)w	t)w	X
ejpam-4769	123	25	(	(	PUNCT
ejpam-4769	123	26	t	t	PROPN
ejpam-4769	123	27	)	)	PUNCT
ejpam-4769	124	1	+	+	CCONJ
ejpam-4769	124	2	cv(t	cv(t	X
ejpam-4769	124	3	)	)	PUNCT
ejpam-4769	124	4	,	,	PUNCT
ejpam-4769	124	5	abc	abc	PROPN
ejpam-4769	124	6	0	0	PROPN
ejpam-4769	124	7	dα	dα	PROPN
ejpam-4769	124	8	t	t	PROPN
ejpam-4769	124	9	w	w	PROPN
ejpam-4769	124	10	(	(	PUNCT
ejpam-4769	124	11	t	t	PROPN
ejpam-4769	124	12	)	)	PUNCT
ejpam-4769	124	13	=	=	SYM
ejpam-4769	124	14	u	u	PROPN
ejpam-4769	124	15	(	(	PUNCT
ejpam-4769	124	16	t	t	PROPN
ejpam-4769	124	17	)	)	PUNCT
ejpam-4769	124	18	v	v	NOUN
ejpam-4769	124	19	(	(	PUNCT
ejpam-4769	124	20	t)−	t)−	PROPN
ejpam-4769	124	21	bw	bw	PROPN
ejpam-4769	124	22	(	(	PUNCT
ejpam-4769	124	23	t	t	PROPN
ejpam-4769	124	24	)	)	PUNCT
ejpam-4769	124	25	.	.	PUNCT
ejpam-4769	125	1	(	(	PUNCT
ejpam-4769	125	2	16	16	NUM
ejpam-4769	125	3	)	)	PUNCT
ejpam-4769	125	4	with	with	ADP
ejpam-4769	125	5	u	u	PROPN
ejpam-4769	125	6	(	(	PUNCT
ejpam-4769	125	7	0	0	NUM
ejpam-4769	125	8	)	)	PUNCT
ejpam-4769	125	9	=	=	PUNCT
ejpam-4769	126	1	−5	−5	ADJ
ejpam-4769	126	2	,	,	PUNCT
ejpam-4769	126	3	v	v	X
ejpam-4769	126	4	(	(	PUNCT
ejpam-4769	126	5	0	0	NUM
ejpam-4769	126	6	)	)	PUNCT
ejpam-4769	126	7	=	=	SYM
ejpam-4769	126	8	−1	−1	NOUN
ejpam-4769	126	9	and	and	CCONJ
ejpam-4769	126	10	w	w	PROPN
ejpam-4769	126	11	(	(	PUNCT
ejpam-4769	126	12	0	0	NUM
ejpam-4769	126	13	)	)	PUNCT
ejpam-4769	126	14	=	=	SYM
ejpam-4769	126	15	−1	−1	NOUN
ejpam-4769	126	16	,	,	PUNCT
ejpam-4769	126	17	where	where	SCONJ
ejpam-4769	126	18	a	a	DET
ejpam-4769	126	19	,	,	PUNCT
ejpam-4769	126	20	b	b	NOUN
ejpam-4769	126	21	,	,	PUNCT
ejpam-4769	126	22	c	c	PROPN
ejpam-4769	126	23	∈	∈	PROPN
ejpam-4769	126	24	r	r	PROPN
ejpam-4769	126	25	,	,	PUNCT
ejpam-4769	126	26	t	t	X
ejpam-4769	126	27	>	>	X
ejpam-4769	126	28	0	0	NUM
ejpam-4769	126	29	,	,	PUNCT
ejpam-4769	126	30	and	and	CCONJ
ejpam-4769	126	31	abc	abc	PROPN
ejpam-4769	126	32	0	0	PROPN
ejpam-4769	127	1	dα	dα	PROPN
ejpam-4769	127	2	t	t	PROPN
ejpam-4769	127	3	is	be	AUX
ejpam-4769	127	4	the	the	DET
ejpam-4769	127	5	abc	abc	PROPN
ejpam-4769	127	6	operator	operator	NOUN
ejpam-4769	127	7	,	,	PUNCT
ejpam-4769	127	8	the	the	DET
ejpam-4769	127	9	parameters	parameter	NOUN
ejpam-4769	128	1	a	a	PRON
ejpam-4769	128	2	=	=	SYM
ejpam-4769	128	3	7.5	7.5	NUM
ejpam-4769	128	4	,	,	PUNCT
ejpam-4769	128	5	b	b	NOUN
ejpam-4769	128	6	=	=	SYM
ejpam-4769	128	7	1.0	1.0	NUM
ejpam-4769	128	8	and	and	CCONJ
ejpam-4769	128	9	c	c	NOUN
ejpam-4769	128	10	=	=	SYM
ejpam-4769	128	11	5	5	X
ejpam-4769	128	12	.	.	PUNCT
ejpam-4769	129	1	we	we	PRON
ejpam-4769	129	2	show	show	VERB
ejpam-4769	129	3	this	this	DET
ejpam-4769	129	4	results	result	NOUN
ejpam-4769	129	5	in	in	ADP
ejpam-4769	129	6	the	the	DET
ejpam-4769	129	7	table	table	NOUN
ejpam-4769	129	8	3	3	NUM
ejpam-4769	129	9	and	and	CCONJ
ejpam-4769	129	10	table	table	NOUN
ejpam-4769	129	11	4	4	NUM
ejpam-4769	129	12	.	.	PUNCT
ejpam-4769	129	13	table	table	NOUN
ejpam-4769	129	14	3	3	NUM
ejpam-4769	129	15	:	:	PUNCT
ejpam-4769	129	16	the	the	DET
ejpam-4769	129	17	numerical	numerical	ADJ
ejpam-4769	129	18	solutions	solution	NOUN
ejpam-4769	129	19	of	of	ADP
ejpam-4769	129	20	eq	eq	PROPN
ejpam-4769	129	21	.	.	PUNCT
ejpam-4769	130	1	(	(	PUNCT
ejpam-4769	130	2	16	16	NUM
ejpam-4769	130	3	)	)	PUNCT
ejpam-4769	130	4	at	at	ADP
ejpam-4769	130	5	t	t	NOUN
ejpam-4769	130	6	=	=	SYM
ejpam-4769	130	7	14	14	NUM
ejpam-4769	130	8	and	and	CCONJ
ejpam-4769	130	9	α	α	NOUN
ejpam-4769	130	10	=	=	ADJ
ejpam-4769	130	11	1	1	X
ejpam-4769	130	12	.	.	PUNCT
ejpam-4769	131	1	h	h	NOUN
ejpam-4769	132	1	x	x	PUNCT
ejpam-4769	132	2	y	y	PROPN
ejpam-4769	132	3	z	z	PROPN
ejpam-4769	132	4	1/10	1/10	NUM
ejpam-4769	132	5	0.996232907806605	0.996232907806605	NUM
ejpam-4769	132	6	1.581099450806809	1.581099450806809	NUM
ejpam-4769	132	7	0.495241231468361	0.495241231468361	NUM
ejpam-4769	132	8	1/20	1/20	NUM
ejpam-4769	132	9	1.043578882387420	1.043578882387420	NUM
ejpam-4769	132	10	1.651420448120412	1.651420448120412	NUM
ejpam-4769	132	11	0.544251070796891	0.544251070796891	NUM
ejpam-4769	132	12	1/40	1/40	NUM
ejpam-4769	132	13	1.058429831301523	1.058429831301523	NUM
ejpam-4769	132	14	1.675181183975680	1.675181183975680	NUM
ejpam-4769	132	15	0.560064850780525	0.560064850780525	NUM
ejpam-4769	132	16	1/80	1/80	NUM
ejpam-4769	132	17	1.065523942097168	1.065523942097168	NUM
ejpam-4769	132	18	1.687112985888534	1.687112985888534	NUM
ejpam-4769	132	19	0.567652302039966	0.567652302039966	NUM
ejpam-4769	132	20	1/160	1/160	NUM
ejpam-4769	132	21	1.069190461371803	1.069190461371803	NUM
ejpam-4769	132	22	1.693385027057710	1.693385027057710	NUM
ejpam-4769	132	23	0.571579495559338	0.571579495559338	NUM
ejpam-4769	132	24	1/320	1/320	NUM
ejpam-4769	132	25	1.071078400638952	1.071078400638952	NUM
ejpam-4769	132	26	1.696632550666957	1.696632550666957	NUM
ejpam-4769	132	27	0.573603308346396	0.573603308346396	NUM
ejpam-4769	132	28	1/640	1/640	NUM
ejpam-4769	132	29	1.072039151580891	1.072039151580891	NUM
ejpam-4769	132	30	1.698288510008531	1.698288510008531	NUM
ejpam-4769	132	31	0.574633680132214	0.574633680132214	NUM
ejpam-4769	132	32	a.	a.	NOUN
ejpam-4769	132	33	qazza	qazza	PROPN
ejpam-4769	132	34	et	et	PROPN
ejpam-4769	132	35	al	al	PROPN
ejpam-4769	132	36	.	.	PUNCT
ejpam-4769	132	37	/	/	SYM
ejpam-4769	132	38	eur	eur	PROPN
ejpam-4769	132	39	.	.	PUNCT
ejpam-4769	133	1	j.	j.	PROPN
ejpam-4769	133	2	pure	pure	PROPN
ejpam-4769	133	3	appl	appl	PROPN
ejpam-4769	133	4	.	.	PROPN
ejpam-4769	133	5	math	math	PROPN
ejpam-4769	133	6	,	,	PUNCT
ejpam-4769	133	7	16	16	NUM
ejpam-4769	133	8	(	(	PUNCT
ejpam-4769	133	9	2	2	NUM
ejpam-4769	133	10	)	)	PUNCT
ejpam-4769	133	11	(	(	PUNCT
ejpam-4769	133	12	2023	2023	NUM
ejpam-4769	133	13	)	)	PUNCT
ejpam-4769	133	14	,	,	PUNCT
ejpam-4769	133	15	1128	1128	NUM
ejpam-4769	133	16	-	-	SYM
ejpam-4769	133	17	1139	1139	NUM
ejpam-4769	133	18	1134	1134	NUM
ejpam-4769	133	19	table	table	NOUN
ejpam-4769	133	20	4	4	NUM
ejpam-4769	133	21	:	:	PUNCT
ejpam-4769	133	22	the	the	DET
ejpam-4769	133	23	numerical	numerical	ADJ
ejpam-4769	133	24	solutions	solution	NOUN
ejpam-4769	133	25	of	of	ADP
ejpam-4769	133	26	eq	eq	PROPN
ejpam-4769	133	27	.	.	PUNCT
ejpam-4769	134	1	(	(	PUNCT
ejpam-4769	134	2	16	16	NUM
ejpam-4769	134	3	)	)	PUNCT
ejpam-4769	134	4	at	at	ADP
ejpam-4769	134	5	t	t	NOUN
ejpam-4769	134	6	=	=	SYM
ejpam-4769	134	7	14	14	NUM
ejpam-4769	134	8	and	and	CCONJ
ejpam-4769	134	9	α	α	NOUN
ejpam-4769	134	10	=	=	NOUN
ejpam-4769	134	11	0.99	0.99	NUM
ejpam-4769	134	12	.	.	PUNCT
ejpam-4769	135	1	h	h	NOUN
ejpam-4769	136	1	x	x	PUNCT
ejpam-4769	136	2	y	y	PROPN
ejpam-4769	136	3	z	z	PROPN
ejpam-4769	136	4	1/10	1/10	NUM
ejpam-4769	136	5	1.621482381001720	1.621482381001720	NUM
ejpam-4769	136	6	1.976822616207164	1.976822616207164	NUM
ejpam-4769	136	7	1.315702543995343	1.315702543995343	NUM
ejpam-4769	136	8	1/20	1/20	NUM
ejpam-4769	136	9	1.614809101418269	1.614809101418269	NUM
ejpam-4769	136	10	1.966952972142942	1.966952972142942	NUM
ejpam-4769	136	11	1.304706684275194	1.304706684275194	NUM
ejpam-4769	136	12	1/40	1/40	NUM
ejpam-4769	136	13	1.615906131167622	1.615906131167622	NUM
ejpam-4769	136	14	1.964093205028113	1.964093205028113	NUM
ejpam-4769	136	15	1.306415886448812	1.306415886448812	NUM
ejpam-4769	136	16	1/80	1/80	NUM
ejpam-4769	136	17	1.617681111000321	1.617681111000321	NUM
ejpam-4769	136	18	1.962647251183329	1.962647251183329	NUM
ejpam-4769	136	19	1.309263163719868	1.309263163719868	NUM
ejpam-4769	136	20	1/160	1/160	NUM
ejpam-4769	136	21	1.618884483012851	1.618884483012851	NUM
ejpam-4769	136	22	1.961844891929927	1.961844891929927	NUM
ejpam-4769	136	23	1.311201894320728	1.311201894320728	NUM
ejpam-4769	136	24	1/320	1/320	NUM
ejpam-4769	136	25	1.619565828368396	1.619565828368396	NUM
ejpam-4769	136	26	1.961413183136856	1.961413183136856	NUM
ejpam-4769	136	27	1.312301530738447	1.312301530738447	NUM
ejpam-4769	136	28	1/640	1/640	NUM
ejpam-4769	136	29	1.619926462286785	1.619926462286785	NUM
ejpam-4769	136	30	1.961188279022434	1.961188279022434	NUM
ejpam-4769	136	31	1.312884047918658	1.312884047918658	NUM
ejpam-4769	136	32	in	in	ADP
ejpam-4769	136	33	table	table	NOUN
ejpam-4769	136	34	3	3	NUM
ejpam-4769	136	35	and	and	CCONJ
ejpam-4769	136	36	table	table	NOUN
ejpam-4769	136	37	4	4	NUM
ejpam-4769	136	38	provide	provide	VERB
ejpam-4769	136	39	numerical	numerical	ADJ
ejpam-4769	136	40	results	result	NOUN
ejpam-4769	136	41	from	from	ADP
ejpam-4769	136	42	the	the	DET
ejpam-4769	136	43	novel	novel	ADJ
ejpam-4769	136	44	scheme	scheme	NOUN
ejpam-4769	136	45	for	for	ADP
ejpam-4769	136	46	abc	abc	PROPN
ejpam-4769	136	47	fractional	fractional	PROPN
ejpam-4769	136	48	derivative	derivative	NOUN
ejpam-4769	136	49	to	to	ADP
ejpam-4769	136	50	fractional	fractional	VERB
ejpam-4769	136	51	chen	chen	PROPN
ejpam-4769	136	52	system	system	PROPN
ejpam-4769	136	53	eq	eq	PROPN
ejpam-4769	136	54	.	.	PUNCT
ejpam-4769	137	1	(	(	PUNCT
ejpam-4769	137	2	16	16	NUM
ejpam-4769	137	3	)	)	PUNCT
ejpam-4769	137	4	,	,	PUNCT
ejpam-4769	137	5	when	when	SCONJ
ejpam-4769	137	6	α	α	PROPN
ejpam-4769	137	7	=	=	SYM
ejpam-4769	137	8	1	1	NUM
ejpam-4769	137	9	and	and	CCONJ
ejpam-4769	137	10	t	t	NOUN
ejpam-4769	137	11	=	=	SYM
ejpam-4769	137	12	14	14	NUM
ejpam-4769	137	13	in	in	ADP
ejpam-4769	137	14	table	table	NOUN
ejpam-4769	137	15	3	3	NUM
ejpam-4769	137	16	,	,	PUNCT
ejpam-4769	137	17	and	and	CCONJ
ejpam-4769	137	18	when	when	SCONJ
ejpam-4769	137	19	α	α	NOUN
ejpam-4769	137	20	=	=	NOUN
ejpam-4769	137	21	0.99	0.99	NUM
ejpam-4769	137	22	and	and	CCONJ
ejpam-4769	137	23	t	t	NOUN
ejpam-4769	137	24	=	=	SYM
ejpam-4769	137	25	14	14	NUM
ejpam-4769	137	26	in	in	ADP
ejpam-4769	137	27	table	table	NOUN
ejpam-4769	137	28	4	4	NUM
ejpam-4769	137	29	.	.	PUNCT
ejpam-4769	138	1	figure	figure	VERB
ejpam-4769	138	2	2	2	NUM
ejpam-4769	138	3	:	:	PUNCT
ejpam-4769	138	4	chaotic	chaotic	ADJ
ejpam-4769	138	5	attractor	attractor	NOUN
ejpam-4769	138	6	of	of	ADP
ejpam-4769	138	7	eq	eq	PROPN
ejpam-4769	138	8	.	.	PUNCT
ejpam-4769	139	1	(	(	PUNCT
ejpam-4769	139	2	16	16	NUM
ejpam-4769	139	3	)	)	PUNCT
ejpam-4769	139	4	,	,	PUNCT
ejpam-4769	139	5	when	when	SCONJ
ejpam-4769	139	6	α	α	PROPN
ejpam-4769	139	7	=	=	SYM
ejpam-4769	139	8	1	1	X
ejpam-4769	139	9	.	.	PUNCT
ejpam-4769	139	10	a.	a.	NOUN
ejpam-4769	139	11	qazza	qazza	PROPN
ejpam-4769	139	12	et	et	PROPN
ejpam-4769	139	13	al	al	PROPN
ejpam-4769	139	14	.	.	PUNCT
ejpam-4769	139	15	/	/	SYM
ejpam-4769	139	16	eur	eur	PROPN
ejpam-4769	139	17	.	.	PUNCT
ejpam-4769	140	1	j.	j.	PROPN
ejpam-4769	140	2	pure	pure	PROPN
ejpam-4769	140	3	appl	appl	PROPN
ejpam-4769	140	4	.	.	PROPN
ejpam-4769	140	5	math	math	PROPN
ejpam-4769	140	6	,	,	PUNCT
ejpam-4769	140	7	16	16	NUM
ejpam-4769	140	8	(	(	PUNCT
ejpam-4769	140	9	2	2	NUM
ejpam-4769	140	10	)	)	PUNCT
ejpam-4769	140	11	(	(	PUNCT
ejpam-4769	140	12	2023	2023	NUM
ejpam-4769	140	13	)	)	PUNCT
ejpam-4769	140	14	,	,	PUNCT
ejpam-4769	140	15	1128	1128	NUM
ejpam-4769	140	16	-	-	SYM
ejpam-4769	140	17	1139	1139	NUM
ejpam-4769	140	18	1135	1135	NUM
ejpam-4769	140	19	figure	figure	NOUN
ejpam-4769	140	20	3	3	NUM
ejpam-4769	140	21	:	:	PUNCT
ejpam-4769	140	22	chaotic	chaotic	ADJ
ejpam-4769	140	23	attractor	attractor	NOUN
ejpam-4769	140	24	of	of	ADP
ejpam-4769	140	25	eq	eq	PROPN
ejpam-4769	140	26	.	.	PUNCT
ejpam-4769	141	1	(	(	PUNCT
ejpam-4769	141	2	16	16	NUM
ejpam-4769	141	3	)	)	PUNCT
ejpam-4769	141	4	,	,	PUNCT
ejpam-4769	141	5	when	when	SCONJ
ejpam-4769	141	6	α	α	NOUN
ejpam-4769	141	7	=	=	NOUN
ejpam-4769	141	8	0.99	0.99	NUM
ejpam-4769	141	9	.	.	PUNCT
ejpam-4769	142	1	in	in	ADP
ejpam-4769	142	2	figure	figure	NOUN
ejpam-4769	142	3	2	2	NUM
ejpam-4769	142	4	and	and	CCONJ
ejpam-4769	142	5	figure	figure	VERB
ejpam-4769	142	6	3	3	NUM
ejpam-4769	142	7	,	,	PUNCT
ejpam-4769	142	8	we	we	PRON
ejpam-4769	142	9	plot	plot	VERB
ejpam-4769	142	10	the	the	DET
ejpam-4769	142	11	numerical	numerical	ADJ
ejpam-4769	142	12	solutions	solution	NOUN
ejpam-4769	142	13	of	of	ADP
ejpam-4769	142	14	eq	eq	PROPN
ejpam-4769	142	15	.	.	PUNCT
ejpam-4769	143	1	(	(	PUNCT
ejpam-4769	143	2	16	16	NUM
ejpam-4769	143	3	)	)	PUNCT
ejpam-4769	143	4	at	at	ADP
ejpam-4769	143	5	the	the	DET
ejpam-4769	143	6	values	value	NOUN
ejpam-4769	143	7	(	(	PUNCT
ejpam-4769	143	8	a	a	DET
ejpam-4769	143	9	,	,	PUNCT
ejpam-4769	143	10	b	b	NOUN
ejpam-4769	143	11	,	,	PUNCT
ejpam-4769	143	12	c	c	NOUN
ejpam-4769	143	13	)	)	PUNCT
ejpam-4769	143	14	=	=	NOUN
ejpam-4769	143	15	(	(	PUNCT
ejpam-4769	143	16	7.5	7.5	NUM
ejpam-4769	143	17	,	,	PUNCT
ejpam-4769	143	18	1	1	NUM
ejpam-4769	143	19	,	,	PUNCT
ejpam-4769	143	20	5	5	NUM
ejpam-4769	143	21	)	)	PUNCT
ejpam-4769	143	22	,	,	PUNCT
ejpam-4769	143	23	and	and	CCONJ
ejpam-4769	143	24	(	(	PUNCT
ejpam-4769	143	25	x0	x0	PROPN
ejpam-4769	143	26	,	,	PUNCT
ejpam-4769	143	27	y0	y0	PROPN
ejpam-4769	143	28	,	,	PUNCT
ejpam-4769	143	29	z0	z0	PROPN
ejpam-4769	143	30	)	)	PUNCT
ejpam-4769	143	31	=	=	PUNCT
ejpam-4769	143	32	(	(	PUNCT
ejpam-4769	143	33	−5,−1,−1	−5,−1,−1	ADJ
ejpam-4769	143	34	)	)	PUNCT
ejpam-4769	143	35	.	.	PUNCT
ejpam-4769	144	1	in	in	ADP
ejpam-4769	144	2	these	these	DET
ejpam-4769	144	3	figures	figure	NOUN
ejpam-4769	144	4	,	,	PUNCT
ejpam-4769	144	5	we	we	PRON
ejpam-4769	144	6	display	display	VERB
ejpam-4769	144	7	the	the	DET
ejpam-4769	144	8	eq	eq	NOUN
ejpam-4769	144	9	.	.	PUNCT
ejpam-4769	145	1	(	(	PUNCT
ejpam-4769	145	2	16	16	NUM
ejpam-4769	145	3	)	)	PUNCT
ejpam-4769	145	4	attractors	attractor	NOUN
ejpam-4769	145	5	obtained	obtain	VERB
ejpam-4769	145	6	using	use	VERB
ejpam-4769	145	7	the	the	DET
ejpam-4769	145	8	novel	novel	ADJ
ejpam-4769	145	9	scheme	scheme	NOUN
ejpam-4769	145	10	for	for	ADP
ejpam-4769	145	11	the	the	DET
ejpam-4769	145	12	fractional	fractional	ADJ
ejpam-4769	145	13	derivative	derivative	NOUN
ejpam-4769	146	1	when	when	SCONJ
ejpam-4769	146	2	α	α	NOUN
ejpam-4769	146	3	=	=	NOUN
ejpam-4769	146	4	0.99	0.99	NUM
ejpam-4769	146	5	and	and	CCONJ
ejpam-4769	146	6	α	α	NOUN
ejpam-4769	146	7	=	=	ADJ
ejpam-4769	146	8	1	1	X
ejpam-4769	146	9	.	.	PUNCT
ejpam-4769	147	1	this	this	DET
ejpam-4769	147	2	phenomena	phenomena	NOUN
ejpam-4769	147	3	is	be	AUX
ejpam-4769	147	4	known	know	VERB
ejpam-4769	147	5	as	as	ADP
ejpam-4769	147	6	the	the	DET
ejpam-4769	147	7	chaos	chaos	NOUN
ejpam-4769	147	8	and	and	CCONJ
ejpam-4769	147	9	it	it	PRON
ejpam-4769	147	10	is	be	AUX
ejpam-4769	147	11	characterized	characterize	VERB
ejpam-4769	147	12	by	by	ADP
ejpam-4769	147	13	complex	complex	ADJ
ejpam-4769	147	14	non	non	ADJ
ejpam-4769	147	15	-	-	ADJ
ejpam-4769	147	16	linear	linear	ADJ
ejpam-4769	147	17	behaviors	behavior	NOUN
ejpam-4769	147	18	such	such	ADJ
ejpam-4769	147	19	as	as	ADP
ejpam-4769	147	20	a	a	DET
ejpam-4769	147	21	periodic	periodic	ADJ
ejpam-4769	147	22	long	long	ADJ
ejpam-4769	147	23	-	-	PUNCT
ejpam-4769	147	24	term	term	NOUN
ejpam-4769	147	25	behavior	behavior	NOUN
ejpam-4769	147	26	,	,	PUNCT
ejpam-4769	147	27	erratic	erratic	ADJ
ejpam-4769	147	28	responses	response	NOUN
ejpam-4769	148	1	[	[	X
ejpam-4769	148	2	9	9	NUM
ejpam-4769	148	3	,	,	PUNCT
ejpam-4769	148	4	26	26	NUM
ejpam-4769	148	5	,	,	PUNCT
ejpam-4769	148	6	28	28	NUM
ejpam-4769	148	7	,	,	PUNCT
ejpam-4769	148	8	43	43	NUM
ejpam-4769	148	9	]	]	PUNCT
ejpam-4769	148	10	.	.	PUNCT
ejpam-4769	149	1	5	5	X
ejpam-4769	149	2	.	.	X
ejpam-4769	149	3	conclusions	conclusion	NOUN
ejpam-4769	149	4	a	a	DET
ejpam-4769	149	5	unique	unique	ADJ
ejpam-4769	149	6	numerical	numerical	ADJ
ejpam-4769	149	7	approach	approach	NOUN
ejpam-4769	149	8	was	be	AUX
ejpam-4769	149	9	developed	develop	VERB
ejpam-4769	149	10	to	to	PART
ejpam-4769	149	11	solve	solve	VERB
ejpam-4769	149	12	bernoulli	bernoulli	NOUN
ejpam-4769	149	13	equation	equation	NOUN
ejpam-4769	149	14	and	and	CCONJ
ejpam-4769	149	15	chen	chen	PROPN
ejpam-4769	149	16	system	system	NOUN
ejpam-4769	149	17	based	base	VERB
ejpam-4769	149	18	on	on	ADP
ejpam-4769	149	19	abc	abc	PROPN
ejpam-4769	149	20	operator	operator	NOUN
ejpam-4769	149	21	.	.	PUNCT
ejpam-4769	150	1	the	the	DET
ejpam-4769	150	2	shortcomings	shortcoming	NOUN
ejpam-4769	150	3	of	of	ADP
ejpam-4769	150	4	the	the	DET
ejpam-4769	150	5	well	well	ADV
ejpam-4769	150	6	-	-	PUNCT
ejpam-4769	150	7	known	know	VERB
ejpam-4769	150	8	predictor	predictor	NOUN
ejpam-4769	150	9	-	-	PUNCT
ejpam-4769	150	10	corrector	corrector	NOUN
ejpam-4769	150	11	approach	approach	NOUN
ejpam-4769	150	12	are	be	AUX
ejpam-4769	150	13	addressed	address	VERB
ejpam-4769	150	14	by	by	ADP
ejpam-4769	150	15	a	a	DET
ejpam-4769	150	16	numerical	numerical	ADJ
ejpam-4769	150	17	methodology	methodology	NOUN
ejpam-4769	150	18	.	.	PUNCT
ejpam-4769	151	1	it	it	PRON
ejpam-4769	151	2	is	be	AUX
ejpam-4769	151	3	based	base	VERB
ejpam-4769	151	4	on	on	ADP
ejpam-4769	151	5	the	the	DET
ejpam-4769	151	6	lagrange	lagrange	NOUN
ejpam-4769	151	7	polynomial	polynomial	NOUN
ejpam-4769	151	8	and	and	CCONJ
ejpam-4769	151	9	the	the	DET
ejpam-4769	151	10	fundamental	fundamental	ADJ
ejpam-4769	151	11	theorem	theorem	NOUN
ejpam-4769	151	12	of	of	ADP
ejpam-4769	151	13	fractional	fractional	ADJ
ejpam-4769	151	14	calculus	calculus	NOUN
ejpam-4769	151	15	.	.	PUNCT
ejpam-4769	152	1	rapid	rapid	ADJ
ejpam-4769	152	2	convergence	convergence	NOUN
ejpam-4769	152	3	,	,	PUNCT
ejpam-4769	152	4	high	high	ADJ
ejpam-4769	152	5	efficiency	efficiency	NOUN
ejpam-4769	152	6	and	and	CCONJ
ejpam-4769	152	7	accuracy	accuracy	NOUN
ejpam-4769	152	8	,	,	PUNCT
ejpam-4769	152	9	and	and	CCONJ
ejpam-4769	152	10	user	user	NOUN
ejpam-4769	152	11	-	-	PUNCT
ejpam-4769	152	12	friendliness	friendliness	NOUN
ejpam-4769	152	13	are	be	AUX
ejpam-4769	152	14	the	the	DET
ejpam-4769	152	15	distinguishing	distinguish	VERB
ejpam-4769	152	16	features	feature	NOUN
ejpam-4769	152	17	of	of	ADP
ejpam-4769	152	18	this	this	DET
ejpam-4769	152	19	approach	approach	NOUN
ejpam-4769	152	20	.	.	PUNCT
ejpam-4769	153	1	the	the	DET
ejpam-4769	153	2	method	method	NOUN
ejpam-4769	153	3	was	be	AUX
ejpam-4769	153	4	used	use	VERB
ejpam-4769	153	5	to	to	PART
ejpam-4769	153	6	solve	solve	VERB
ejpam-4769	153	7	a	a	DET
ejpam-4769	153	8	fractional	fractional	ADJ
ejpam-4769	153	9	equation	equation	NOUN
ejpam-4769	153	10	and	and	CCONJ
ejpam-4769	153	11	system	system	NOUN
ejpam-4769	153	12	for	for	ADP
ejpam-4769	153	13	which	which	PRON
ejpam-4769	153	14	there	there	PRON
ejpam-4769	153	15	exist	exist	VERB
ejpam-4769	153	16	solutions	solution	NOUN
ejpam-4769	153	17	as	as	ADV
ejpam-4769	153	18	well	well	ADV
ejpam-4769	153	19	as	as	ADP
ejpam-4769	153	20	a	a	DET
ejpam-4769	153	21	nonlinear	nonlinear	ADJ
ejpam-4769	153	22	system	system	NOUN
ejpam-4769	153	23	.	.	PUNCT
ejpam-4769	154	1	we	we	PRON
ejpam-4769	154	2	advise	advise	VERB
ejpam-4769	154	3	wider	wide	ADJ
ejpam-4769	154	4	use	use	NOUN
ejpam-4769	154	5	of	of	ADP
ejpam-4769	154	6	the	the	DET
ejpam-4769	154	7	method	method	NOUN
ejpam-4769	154	8	to	to	PART
ejpam-4769	154	9	address	address	VERB
ejpam-4769	154	10	physics	physics	NOUN
ejpam-4769	154	11	and	and	CCONJ
ejpam-4769	154	12	engineering	engineering	NOUN
ejpam-4769	154	13	challenges	challenge	NOUN
ejpam-4769	154	14	that	that	PRON
ejpam-4769	154	15	are	be	AUX
ejpam-4769	154	16	becoming	become	VERB
ejpam-4769	154	17	ever	ever	ADV
ejpam-4769	154	18	more	more	ADV
ejpam-4769	154	19	complicated	complicated	ADJ
ejpam-4769	154	20	.	.	PUNCT
ejpam-4769	155	1	in	in	ADP
ejpam-4769	155	2	the	the	DET
ejpam-4769	155	3	future	future	NOUN
ejpam-4769	155	4	,	,	PUNCT
ejpam-4769	155	5	we	we	PRON
ejpam-4769	155	6	intend	intend	VERB
ejpam-4769	155	7	references	reference	NOUN
ejpam-4769	155	8	1136	1136	NUM
ejpam-4769	155	9	solve	solve	VERB
ejpam-4769	155	10	some	some	DET
ejpam-4769	155	11	new	new	ADJ
ejpam-4769	155	12	fractional	fractional	ADJ
ejpam-4769	155	13	models	model	NOUN
ejpam-4769	155	14	,	,	PUNCT
ejpam-4769	155	15	such	such	ADJ
ejpam-4769	155	16	as	as	ADP
ejpam-4769	155	17	in	in	ADP
ejpam-4769	155	18	[	[	NOUN
ejpam-4769	155	19	35–37	35–37	NOUN
ejpam-4769	155	20	]	]	PUNCT
ejpam-4769	155	21	and	and	CCONJ
ejpam-4769	155	22	make	make	VERB
ejpam-4769	155	23	comparisons	comparison	NOUN
ejpam-4769	155	24	with	with	ADP
ejpam-4769	155	25	other	other	ADJ
ejpam-4769	155	26	numerical	numerical	ADJ
ejpam-4769	155	27	methods	method	NOUN
ejpam-4769	155	28	[	[	X
ejpam-4769	155	29	3	3	NUM
ejpam-4769	155	30	,	,	PUNCT
ejpam-4769	155	31	13	13	NUM
ejpam-4769	155	32	,	,	PUNCT
ejpam-4769	155	33	14	14	NUM
ejpam-4769	155	34	]	]	PUNCT
ejpam-4769	155	35	.	.	PUNCT
ejpam-4769	156	1	references	reference	NOUN
ejpam-4769	156	2	[	[	X
ejpam-4769	156	3	1	1	X
ejpam-4769	156	4	]	]	PUNCT
ejpam-4769	156	5	a	a	DET
ejpam-4769	156	6	a	a	DET
ejpam-4769	156	7	kilbas	kilbas	NOUN
ejpam-4769	156	8	,	,	PUNCT
ejpam-4769	156	9	h	h	PROPN
ejpam-4769	156	10	m	m	PROPN
ejpam-4769	156	11	srivastava	srivastava	PROPN
ejpam-4769	156	12	and	and	CCONJ
ejpam-4769	156	13	j	j	PROPN
ejpam-4769	156	14	j	j	PROPN
ejpam-4769	156	15	trujillo	trujillo	PROPN
ejpam-4769	156	16	.	.	PUNCT
ejpam-4769	157	1	theory	theory	NOUN
ejpam-4769	157	2	and	and	CCONJ
ejpam-4769	157	3	applications	application	NOUN
ejpam-4769	157	4	of	of	ADP
ejpam-4769	157	5	fractional	fractional	ADJ
ejpam-4769	157	6	differential	differential	ADJ
ejpam-4769	157	7	equations	equation	NOUN
ejpam-4769	157	8	.	.	PUNCT
ejpam-4769	158	1	elsevier	elsevier	NOUN
ejpam-4769	158	2	,	,	PUNCT
ejpam-4769	158	3	2006	2006	NUM
ejpam-4769	158	4	.	.	PUNCT
ejpam-4769	159	1	[	[	X
ejpam-4769	159	2	2	2	X
ejpam-4769	159	3	]	]	PUNCT
ejpam-4769	159	4	a	a	DET
ejpam-4769	159	5	j	j	PROPN
ejpam-4769	159	6	abd	abd	PROPN
ejpam-4769	159	7	el	el	PROPN
ejpam-4769	159	8	-	-	PROPN
ejpam-4769	159	9	maksoud	maksoud	PROPN
ejpam-4769	159	10	,	,	PUNCT
ejpam-4769	159	11	a	a	DET
ejpam-4769	159	12	abd	abd	PROPN
ejpam-4769	159	13	el	el	PROPN
ejpam-4769	159	14	-	-	PUNCT
ejpam-4769	159	15	kader	kader	PROPN
ejpam-4769	159	16	,	,	PUNCT
ejpam-4769	159	17	b	b	X
ejpam-4769	159	18	hassan	hassan	PROPN
ejpam-4769	159	19	,	,	PUNCT
ejpam-4769	159	20	n	n	PRON
ejpam-4769	159	21	rihan	rihan	NOUN
ejpam-4769	159	22	,	,	PUNCT
ejpam-4769	159	23	m	m	VERB
ejpam-4769	159	24	tolba	tolba	NOUN
ejpam-4769	159	25	,	,	PUNCT
ejpam-4769	159	26	l	l	PROPN
ejpam-4769	159	27	said	say	VERB
ejpam-4769	159	28	,	,	PUNCT
ejpam-4769	159	29	a	a	DET
ejpam-4769	159	30	radwan	radwan	NOUN
ejpam-4769	159	31	and	and	CCONJ
ejpam-4769	159	32	m	m	PROPN
ejpam-4769	159	33	abu	abu	NOUN
ejpam-4769	159	34	-	-	PUNCT
ejpam-4769	159	35	elyazeed	elyazeed	NOUN
ejpam-4769	159	36	.	.	PUNCT
ejpam-4769	160	1	fpga	fpga	PROPN
ejpam-4769	160	2	implementation	implementation	NOUN
ejpam-4769	160	3	of	of	ADP
ejpam-4769	160	4	sound	sound	ADJ
ejpam-4769	160	5	encryption	encryption	NOUN
ejpam-4769	160	6	system	system	NOUN
ejpam-4769	160	7	based	base	VERB
ejpam-4769	160	8	on	on	ADP
ejpam-4769	160	9	fractional	fractional	ADJ
ejpam-4769	160	10	-	-	PUNCT
ejpam-4769	160	11	order	order	NOUN
ejpam-4769	160	12	chaotic	chaotic	ADJ
ejpam-4769	160	13	systems	system	NOUN
ejpam-4769	160	14	.	.	PUNCT
ejpam-4769	161	1	micro	micro	PROPN
ejpam-4769	161	2	.	.	PUNCT
ejpam-4769	162	1	j.	j.	PROPN
ejpam-4769	162	2	,	,	PUNCT
ejpam-4769	162	3	90:323–335	90:323–335	PROPN
ejpam-4769	162	4	,	,	PUNCT
ejpam-4769	162	5	2019	2019	NUM
ejpam-4769	162	6	.	.	PUNCT
ejpam-4769	163	1	[	[	X
ejpam-4769	163	2	3	3	X
ejpam-4769	163	3	]	]	X
ejpam-4769	163	4	a	a	DET
ejpam-4769	163	5	qazza	qazza	NOUN
ejpam-4769	163	6	,	,	PUNCT
ejpam-4769	163	7	r	r	NOUN
ejpam-4769	163	8	saadeh	saadeh	NOUN
ejpam-4769	163	9	and	and	CCONJ
ejpam-4769	163	10	e	e	X
ejpam-4769	163	11	salah	salah	PROPN
ejpam-4769	163	12	.	.	PUNCT
ejpam-4769	164	1	direct	direct	ADJ
ejpam-4769	164	2	power	power	NOUN
ejpam-4769	164	3	series	series	PROPN
ejpam-4769	164	4	approach	approach	NOUN
ejpam-4769	164	5	for	for	ADP
ejpam-4769	164	6	solving	solve	VERB
ejpam-4769	164	7	nonlinear	nonlinear	ADJ
ejpam-4769	164	8	initial	initial	ADJ
ejpam-4769	164	9	value	value	NOUN
ejpam-4769	164	10	problems	problem	NOUN
ejpam-4769	164	11	.	.	PUNCT
ejpam-4769	165	1	axioms	axiom	NOUN
ejpam-4769	165	2	,	,	PUNCT
ejpam-4769	165	3	12(2):111	12(2):111	NOUN
ejpam-4769	165	4	,	,	PUNCT
ejpam-4769	165	5	2023	2023	NUM
ejpam-4769	165	6	.	.	PUNCT
ejpam-4769	166	1	[	[	X
ejpam-4769	166	2	4	4	NUM
ejpam-4769	166	3	]	]	X
ejpam-4769	166	4	k	k	PROPN
ejpam-4769	166	5	s	s	PROPN
ejpam-4769	166	6	al	al	PROPN
ejpam-4769	166	7	-	-	PUNCT
ejpam-4769	166	8	ghafri	ghafri	PROPN
ejpam-4769	166	9	,	,	PUNCT
ejpam-4769	166	10	a	a	DET
ejpam-4769	166	11	t	t	NOUN
ejpam-4769	166	12	alabdala	alabdala	NOUN
ejpam-4769	166	13	,	,	PUNCT
ejpam-4769	166	14	s	s	PART
ejpam-4769	166	15	s	s	X
ejpam-4769	166	16	redhwan	redhwan	NOUN
ejpam-4769	166	17	,	,	PUNCT
ejpam-4769	166	18	o	o	PROPN
ejpam-4769	166	19	bazighifan	bazighifan	NOUN
ejpam-4769	166	20	,	,	PUNCT
ejpam-4769	166	21	a	a	DET
ejpam-4769	166	22	h	h	NOUN
ejpam-4769	166	23	ali	ali	PROPN
ejpam-4769	166	24	,	,	PUNCT
ejpam-4769	166	25	and	and	CCONJ
ejpam-4769	166	26	l	l	PROPN
ejpam-4769	166	27	f	f	PROPN
ejpam-4769	166	28	iambor	iambor	PROPN
ejpam-4769	166	29	.	.	PUNCT
ejpam-4769	167	1	symmetrical	symmetrical	ADJ
ejpam-4769	167	2	solutions	solution	NOUN
ejpam-4769	167	3	for	for	ADP
ejpam-4769	167	4	non	non	ADJ
ejpam-4769	167	5	-	-	ADJ
ejpam-4769	167	6	local	local	ADJ
ejpam-4769	167	7	fractional	fractional	ADJ
ejpam-4769	167	8	integro	integro	ADJ
ejpam-4769	167	9	-	-	PUNCT
ejpam-4769	167	10	differential	differential	NOUN
ejpam-4769	167	11	equations	equation	NOUN
ejpam-4769	167	12	via	via	ADP
ejpam-4769	167	13	caputo	caputo	PROPN
ejpam-4769	167	14	–	–	PUNCT
ejpam-4769	167	15	katugampola	katugampola	PROPN
ejpam-4769	167	16	derivatives	derivative	NOUN
ejpam-4769	167	17	.	.	PUNCT
ejpam-4769	168	1	symmetry	symmetry	NOUN
ejpam-4769	168	2	,	,	PUNCT
ejpam-4769	168	3	15(3	15(3	NUM
ejpam-4769	168	4	)	)	PUNCT
ejpam-4769	168	5	,	,	PUNCT
ejpam-4769	168	6	2023	2023	NUM
ejpam-4769	168	7	.	.	PUNCT
ejpam-4769	169	1	[	[	X
ejpam-4769	169	2	5	5	NUM
ejpam-4769	169	3	]	]	SYM
ejpam-4769	169	4	u	u	NOUN
ejpam-4769	169	5	arshad	arshad	ADJ
ejpam-4769	169	6	,	,	PUNCT
ejpam-4769	169	7	m	m	NOUN
ejpam-4769	169	8	sultana	sultana	NOUN
ejpam-4769	169	9	,	,	PUNCT
ejpam-4769	169	10	a	a	DET
ejpam-4769	169	11	h	h	NOUN
ejpam-4769	169	12	ali	ali	PROPN
ejpam-4769	169	13	,	,	PUNCT
ejpam-4769	169	14	o	o	PROPN
ejpam-4769	169	15	bazighifan	bazighifan	NOUN
ejpam-4769	169	16	,	,	PUNCT
ejpam-4769	169	17	a	a	DET
ejpam-4769	169	18	a	a	DET
ejpam-4769	169	19	al	al	PROPN
ejpam-4769	169	20	-	-	PUNCT
ejpam-4769	169	21	moneef	moneef	PROPN
ejpam-4769	169	22	,	,	PUNCT
ejpam-4769	169	23	and	and	CCONJ
ejpam-4769	169	24	k	k	X
ejpam-4769	169	25	nonlaopon	nonlaopon	ADV
ejpam-4769	169	26	.	.	PUNCT
ejpam-4769	170	1	numerical	numerical	ADJ
ejpam-4769	170	2	solutions	solution	NOUN
ejpam-4769	170	3	of	of	ADP
ejpam-4769	170	4	fractional	fractional	ADJ
ejpam-4769	170	5	-	-	PUNCT
ejpam-4769	170	6	order	order	NOUN
ejpam-4769	170	7	electrical	electrical	ADJ
ejpam-4769	170	8	rlc	rlc	PROPN
ejpam-4769	170	9	circuit	circuit	PROPN
ejpam-4769	170	10	equations	equation	NOUN
ejpam-4769	170	11	via	via	ADP
ejpam-4769	170	12	three	three	NUM
ejpam-4769	170	13	numerical	numerical	ADJ
ejpam-4769	170	14	techniques	technique	NOUN
ejpam-4769	170	15	.	.	PUNCT
ejpam-4769	171	1	mathematics	mathematic	NOUN
ejpam-4769	171	2	,	,	PUNCT
ejpam-4769	171	3	10(17	10(17	NUM
ejpam-4769	171	4	)	)	PUNCT
ejpam-4769	171	5	,	,	PUNCT
ejpam-4769	171	6	2022	2022	NUM
ejpam-4769	171	7	.	.	PUNCT
ejpam-4769	172	1	[	[	X
ejpam-4769	172	2	6	6	NUM
ejpam-4769	172	3	]	]	PUNCT
ejpam-4769	172	4	a	a	DET
ejpam-4769	172	5	atangana	atangana	NOUN
ejpam-4769	172	6	and	and	CCONJ
ejpam-4769	172	7	d	d	NOUN
ejpam-4769	172	8	baleanu	baleanu	NOUN
ejpam-4769	172	9	.	.	PUNCT
ejpam-4769	173	1	new	new	ADJ
ejpam-4769	173	2	fractional	fractional	ADJ
ejpam-4769	173	3	derivatives	derivative	NOUN
ejpam-4769	173	4	with	with	ADP
ejpam-4769	173	5	nonlocal	nonlocal	ADJ
ejpam-4769	173	6	and	and	CCONJ
ejpam-4769	173	7	non	non	ADJ
ejpam-4769	173	8	-	-	ADJ
ejpam-4769	173	9	singular	singular	ADJ
ejpam-4769	173	10	kernel	kernel	NOUN
ejpam-4769	173	11	:	:	PUNCT
ejpam-4769	173	12	theory	theory	NOUN
ejpam-4769	173	13	and	and	CCONJ
ejpam-4769	173	14	application	application	NOUN
ejpam-4769	173	15	to	to	PART
ejpam-4769	173	16	heat	heat	NOUN
ejpam-4769	173	17	transfer	transfer	NOUN
ejpam-4769	173	18	model	model	NOUN
ejpam-4769	173	19	.	.	PUNCT
ejpam-4769	174	1	therm	therm	PROPN
ejpam-4769	174	2	.	.	PUNCT
ejpam-4769	175	1	sci	sci	PROPN
ejpam-4769	175	2	.	.	PROPN
ejpam-4769	175	3	,	,	PUNCT
ejpam-4769	175	4	20(2):763–769	20(2):763–769	PROPN
ejpam-4769	175	5	,	,	PUNCT
ejpam-4769	175	6	2016	2016	NUM
ejpam-4769	175	7	.	.	PUNCT
ejpam-4769	176	1	[	[	X
ejpam-4769	176	2	7	7	X
ejpam-4769	176	3	]	]	X
ejpam-4769	176	4	j	j	PROPN
ejpam-4769	176	5	bernoulli	bernoulli	PROPN
ejpam-4769	176	6	.	.	PUNCT
ejpam-4769	177	1	die	die	VERB
ejpam-4769	177	2	streitschriften	streitschriften	VERB
ejpam-4769	177	3	von	von	PROPN
ejpam-4769	177	4	jacob	jacob	PROPN
ejpam-4769	177	5	und	und	PROPN
ejpam-4769	177	6	johann	johann	PROPN
ejpam-4769	177	7	bernoulli	bernoulli	PROPN
ejpam-4769	177	8	:	:	PUNCT
ejpam-4769	178	1	variationsrechnung	variationsrechnung	PROPN
ejpam-4769	178	2	.	.	PUNCT
ejpam-4769	179	1	basel	basel	PROPN
ejpam-4769	179	2	,	,	PUNCT
ejpam-4769	179	3	birkhäuser	birkhäuser	NOUN
ejpam-4769	179	4	,	,	PUNCT
ejpam-4769	179	5	1991	1991	NUM
ejpam-4769	179	6	.	.	PUNCT
ejpam-4769	180	1	[	[	X
ejpam-4769	180	2	8	8	NUM
ejpam-4769	180	3	]	]	X
ejpam-4769	180	4	j	j	PROPN
ejpam-4769	180	5	p	p	PROPN
ejpam-4769	180	6	berrut	berrut	PROPN
ejpam-4769	180	7	and	and	CCONJ
ejpam-4769	180	8	l	l	NOUN
ejpam-4769	180	9	n	n	NUM
ejpam-4769	180	10	trefethen	trefethen	NOUN
ejpam-4769	180	11	.	.	PUNCT
ejpam-4769	181	1	barycentric	barycentric	ADJ
ejpam-4769	181	2	lagrange	lagrange	PROPN
ejpam-4769	181	3	interpolation	interpolation	NOUN
ejpam-4769	181	4	.	.	PUNCT
ejpam-4769	182	1	siam	siam	PROPN
ejpam-4769	182	2	review	review	PROPN
ejpam-4769	182	3	,	,	PUNCT
ejpam-4769	182	4	46(3):501–517	46(3):501–517	PROPN
ejpam-4769	182	5	,	,	PUNCT
ejpam-4769	182	6	2004	2004	NUM
ejpam-4769	182	7	.	.	PUNCT
ejpam-4769	183	1	[	[	X
ejpam-4769	183	2	9	9	NUM
ejpam-4769	183	3	]	]	X
ejpam-4769	183	4	c	c	PROPN
ejpam-4769	183	5	lin	lin	PROPN
ejpam-4769	183	6	,	,	PUNCT
ejpam-4769	183	7	s	s	PROPN
ejpam-4769	183	8	yang	yang	PROPN
ejpam-4769	183	9	and	and	CCONJ
ejpam-4769	183	10	h	h	NOUN
ejpam-4769	183	11	yau	yau	PROPN
ejpam-4769	183	12	.	.	PUNCT
ejpam-4769	183	13	chaos	chaos	NOUN
ejpam-4769	183	14	suppression	suppression	NOUN
ejpam-4769	183	15	control	control	NOUN
ejpam-4769	183	16	of	of	ADP
ejpam-4769	183	17	a	a	DET
ejpam-4769	183	18	coronary	coronary	ADJ
ejpam-4769	183	19	artery	artery	NOUN
ejpam-4769	183	20	system	system	NOUN
ejpam-4769	183	21	with	with	ADP
ejpam-4769	183	22	uncertainties	uncertainty	NOUN
ejpam-4769	183	23	by	by	ADP
ejpam-4769	183	24	using	use	VERB
ejpam-4769	183	25	variable	variable	ADJ
ejpam-4769	183	26	structure	structure	NOUN
ejpam-4769	183	27	control	control	NOUN
ejpam-4769	183	28	.	.	PUNCT
ejpam-4769	184	1	comput	comput	NOUN
ejpam-4769	184	2	.	.	PUNCT
ejpam-4769	185	1	math	math	NOUN
ejpam-4769	185	2	.	.	PUNCT
ejpam-4769	186	1	appl	appl	PROPN
ejpam-4769	186	2	.	.	PROPN
ejpam-4769	186	3	,	,	PUNCT
ejpam-4769	186	4	64:988–995	64:988–995	NUM
ejpam-4769	186	5	,	,	PUNCT
ejpam-4769	186	6	2012	2012	NUM
ejpam-4769	186	7	.	.	PUNCT
ejpam-4769	187	1	[	[	X
ejpam-4769	187	2	10	10	NUM
ejpam-4769	187	3	]	]	X
ejpam-4769	187	4	m	m	PROPN
ejpam-4769	187	5	caputo	caputo	PROPN
ejpam-4769	187	6	and	and	CCONJ
ejpam-4769	187	7	m	m	PROPN
ejpam-4769	187	8	fabrizio	fabrizio	PROPN
ejpam-4769	187	9	.	.	PUNCT
ejpam-4769	188	1	a	a	DET
ejpam-4769	188	2	new	new	ADJ
ejpam-4769	188	3	definition	definition	NOUN
ejpam-4769	188	4	of	of	ADP
ejpam-4769	188	5	fractional	fractional	ADJ
ejpam-4769	188	6	derivative	derivative	NOUN
ejpam-4769	188	7	without	without	ADP
ejpam-4769	188	8	singular	singular	ADJ
ejpam-4769	188	9	kernel	kernel	PROPN
ejpam-4769	188	10	.	.	PUNCT
ejpam-4769	189	1	progr	progr	NOUN
ejpam-4769	189	2	.	.	PUNCT
ejpam-4769	190	1	fract	fract	PROPN
ejpam-4769	190	2	.	.	PUNCT
ejpam-4769	191	1	differ	differ	VERB
ejpam-4769	191	2	.	.	PUNCT
ejpam-4769	192	1	appl	appl	PROPN
ejpam-4769	192	2	.	.	PROPN
ejpam-4769	192	3	,	,	PUNCT
ejpam-4769	192	4	1(2):73–85	1(2):73–85	NUM
ejpam-4769	192	5	,	,	PUNCT
ejpam-4769	192	6	2015	2015	NUM
ejpam-4769	192	7	.	.	PUNCT
ejpam-4769	193	1	[	[	X
ejpam-4769	193	2	11	11	NUM
ejpam-4769	193	3	]	]	PUNCT
ejpam-4769	193	4	a	a	DET
ejpam-4769	193	5	carpinteri	carpinteri	NOUN
ejpam-4769	193	6	and	and	CCONJ
ejpam-4769	193	7	f	f	PROPN
ejpam-4769	193	8	mainardi	mainardi	PROPN
ejpam-4769	193	9	.	.	PUNCT
ejpam-4769	194	1	fractals	fractal	NOUN
ejpam-4769	194	2	and	and	CCONJ
ejpam-4769	194	3	fractional	fractional	ADJ
ejpam-4769	194	4	calculus	calculus	NOUN
ejpam-4769	194	5	in	in	ADP
ejpam-4769	194	6	continuum	continuum	ADJ
ejpam-4769	194	7	mechanics	mechanic	NOUN
ejpam-4769	194	8	.	.	PUNCT
ejpam-4769	195	1	springer	springer	PROPN
ejpam-4769	195	2	verlag	verlag	PROPN
ejpam-4769	195	3	,	,	PUNCT
ejpam-4769	195	4	wien	wien	PROPN
ejpam-4769	195	5	and	and	CCONJ
ejpam-4769	195	6	new	new	PROPN
ejpam-4769	195	7	york	york	PROPN
ejpam-4769	195	8	,	,	PUNCT
ejpam-4769	195	9	1997	1997	NUM
ejpam-4769	195	10	.	.	PUNCT
ejpam-4769	196	1	[	[	X
ejpam-4769	196	2	12	12	NUM
ejpam-4769	196	3	]	]	X
ejpam-4769	196	4	d	d	X
ejpam-4769	196	5	dudkowski	dudkowski	ADJ
ejpam-4769	196	6	,	,	PUNCT
ejpam-4769	196	7	s	s	PART
ejpam-4769	196	8	jafari	jafari	X
ejpam-4769	196	9	,	,	PUNCT
ejpam-4769	196	10	t	t	PROPN
ejpam-4769	196	11	kapitaniak	kapitaniak	PROPN
ejpam-4769	196	12	,	,	PUNCT
ejpam-4769	196	13	n	n	PROPN
ejpam-4769	196	14	v	v	NUM
ejpam-4769	196	15	kuznetsov	kuznetsov	NOUN
ejpam-4769	196	16	,	,	PUNCT
ejpam-4769	196	17	g	g	PROPN
ejpam-4769	196	18	a	a	DET
ejpam-4769	196	19	leonov	leonov	NOUN
ejpam-4769	196	20	and	and	CCONJ
ejpam-4769	196	21	a	a	DET
ejpam-4769	196	22	prasad	prasad	NOUN
ejpam-4769	196	23	.	.	PUNCT
ejpam-4769	197	1	hidden	hide	VERB
ejpam-4769	197	2	attractors	attractor	NOUN
ejpam-4769	197	3	in	in	ADP
ejpam-4769	197	4	dynamical	dynamical	ADJ
ejpam-4769	197	5	systems	system	NOUN
ejpam-4769	197	6	.	.	PUNCT
ejpam-4769	198	1	physics	physics	NOUN
ejpam-4769	198	2	reports	report	NOUN
ejpam-4769	198	3	vol	vol	VERB
ejpam-4769	198	4	637	637	NUM
ejpam-4769	198	5	,	,	PUNCT
ejpam-4769	198	6	2016	2016	NUM
ejpam-4769	198	7	.	.	PUNCT
ejpam-4769	199	1	references	reference	NOUN
ejpam-4769	199	2	1137	1137	NUM
ejpam-4769	199	3	[	[	X
ejpam-4769	199	4	13	13	NUM
ejpam-4769	199	5	]	]	X
ejpam-4769	199	6	e	e	X
ejpam-4769	199	7	salah	salah	PROPN
ejpam-4769	199	8	,	,	PUNCT
ejpam-4769	199	9	a	a	DET
ejpam-4769	199	10	qazza	qazza	NOUN
ejpam-4769	199	11	,	,	PUNCT
ejpam-4769	199	12	r	r	NOUN
ejpam-4769	199	13	saadeh	saadeh	PROPN
ejpam-4769	199	14	and	and	CCONJ
ejpam-4769	199	15	a.	a.	PROPN
ejpam-4769	199	16	el	el	PROPN
ejpam-4769	199	17	-	-	PUNCT
ejpam-4769	199	18	ajou	ajou	ADJ
ejpam-4769	199	19	.	.	PUNCT
ejpam-4769	200	1	a	a	DET
ejpam-4769	200	2	hybrid	hybrid	ADJ
ejpam-4769	200	3	analytical	analytical	ADJ
ejpam-4769	200	4	technique	technique	NOUN
ejpam-4769	200	5	for	for	ADP
ejpam-4769	200	6	solving	solve	VERB
ejpam-4769	200	7	multi	multi	ADJ
ejpam-4769	200	8	-	-	ADJ
ejpam-4769	200	9	dimensional	dimensional	ADJ
ejpam-4769	200	10	time	time	NOUN
ejpam-4769	200	11	-	-	PUNCT
ejpam-4769	200	12	fractional	fractional	ADJ
ejpam-4769	200	13	navier	navier	NOUN
ejpam-4769	200	14	-	-	PUNCT
ejpam-4769	200	15	stokes	stoke	NOUN
ejpam-4769	200	16	system	system	NOUN
ejpam-4769	200	17	.	.	PUNCT
ejpam-4769	201	1	aims	aim	VERB
ejpam-4769	201	2	mathematics	mathematic	NOUN
ejpam-4769	201	3	,	,	PUNCT
ejpam-4769	201	4	8(1):1713–1736	8(1):1713–1736	PROPN
ejpam-4769	201	5	,	,	PUNCT
ejpam-4769	201	6	2023	2023	NUM
ejpam-4769	201	7	.	.	PUNCT
ejpam-4769	202	1	[	[	X
ejpam-4769	202	2	14	14	NUM
ejpam-4769	202	3	]	]	X
ejpam-4769	202	4	e	e	X
ejpam-4769	202	5	salah	salah	PROPN
ejpam-4769	202	6	,	,	PUNCT
ejpam-4769	202	7	r	r	NOUN
ejpam-4769	202	8	saadeh	saadeh	PROPN
ejpam-4769	202	9	,	,	PUNCT
ejpam-4769	202	10	a	a	DET
ejpam-4769	202	11	qazza	qazza	NOUN
ejpam-4769	202	12	and	and	CCONJ
ejpam-4769	202	13	r	r	NOUN
ejpam-4769	202	14	hatamleh	hatamleh	NOUN
ejpam-4769	202	15	.	.	PUNCT
ejpam-4769	203	1	direct	direct	ADJ
ejpam-4769	203	2	power	power	NOUN
ejpam-4769	203	3	series	series	PROPN
ejpam-4769	203	4	approach	approach	NOUN
ejpam-4769	203	5	for	for	ADP
ejpam-4769	203	6	solving	solve	VERB
ejpam-4769	203	7	nonlinear	nonlinear	ADJ
ejpam-4769	203	8	initial	initial	ADJ
ejpam-4769	203	9	value	value	NOUN
ejpam-4769	203	10	problems	problem	NOUN
ejpam-4769	203	11	.	.	PUNCT
ejpam-4769	204	1	axioms	axiom	NOUN
ejpam-4769	204	2	,	,	PUNCT
ejpam-4769	204	3	12(2):111	12(2):111	NOUN
ejpam-4769	204	4	,	,	PUNCT
ejpam-4769	204	5	2023	2023	NUM
ejpam-4769	204	6	.	.	PUNCT
ejpam-4769	205	1	[	[	X
ejpam-4769	205	2	15	15	NUM
ejpam-4769	205	3	]	]	X
ejpam-4769	205	4	f	f	PROPN
ejpam-4769	205	5	b	b	PROPN
ejpam-4769	205	6	m	m	PROPN
ejpam-4769	205	7	belgacem	belgacem	NOUN
ejpam-4769	205	8	,	,	PUNCT
ejpam-4769	205	9	r	r	NOUN
ejpam-4769	205	10	silambarasan	silambarasan	NOUN
ejpam-4769	205	11	,	,	PUNCT
ejpam-4769	205	12	h	h	NOUN
ejpam-4769	205	13	zakia	zakia	NOUN
ejpam-4769	205	14	and	and	CCONJ
ejpam-4769	205	15	t	t	PROPN
ejpam-4769	205	16	mekkaoui	mekkaoui	NOUN
ejpam-4769	205	17	.	.	PUNCT
ejpam-4769	206	1	new	new	ADJ
ejpam-4769	206	2	and	and	CCONJ
ejpam-4769	206	3	extended	extended	ADJ
ejpam-4769	206	4	applications	application	NOUN
ejpam-4769	206	5	of	of	ADP
ejpam-4769	206	6	the	the	DET
ejpam-4769	206	7	natural	natural	ADJ
ejpam-4769	206	8	and	and	CCONJ
ejpam-4769	206	9	sumudu	sumudu	NOUN
ejpam-4769	206	10	transforms	transform	VERB
ejpam-4769	206	11	:	:	PUNCT
ejpam-4769	206	12	fractional	fractional	ADJ
ejpam-4769	206	13	diffusion	diffusion	NOUN
ejpam-4769	206	14	and	and	CCONJ
ejpam-4769	206	15	stokes	stoke	NOUN
ejpam-4769	206	16	fluid	fluid	NOUN
ejpam-4769	206	17	flow	flow	NOUN
ejpam-4769	206	18	realms	realm	NOUN
ejpam-4769	206	19	.	.	PUNCT
ejpam-4769	207	1	chapter	chapter	NOUN
ejpam-4769	207	2	no	no	NOUN
ejpam-4769	207	3	.	.	PROPN
ejpam-4769	207	4	6	6	NUM
ejpam-4769	207	5	in	in	ADP
ejpam-4769	207	6	book	book	NOUN
ejpam-4769	207	7	:	:	PUNCT
ejpam-4769	207	8	advances	advance	NOUN
ejpam-4769	207	9	in	in	ADP
ejpam-4769	207	10	real	real	ADJ
ejpam-4769	207	11	and	and	CCONJ
ejpam-4769	207	12	complex	complex	ADJ
ejpam-4769	207	13	analysis	analysis	NOUN
ejpam-4769	207	14	with	with	ADP
ejpam-4769	207	15	applications	application	NOUN
ejpam-4769	207	16	.	.	PUNCT
ejpam-4769	208	1	springer	springer	NOUN
ejpam-4769	208	2	,	,	PUNCT
ejpam-4769	208	3	birkhäuser	birkhäuser	NOUN
ejpam-4769	208	4	,	,	PUNCT
ejpam-4769	208	5	singapore	singapore	PROPN
ejpam-4769	208	6	,	,	PUNCT
ejpam-4769	208	7	2017	2017	NUM
ejpam-4769	208	8	.	.	PUNCT
ejpam-4769	209	1	[	[	X
ejpam-4769	209	2	16	16	NUM
ejpam-4769	209	3	]	]	X
ejpam-4769	209	4	j	j	PROPN
ejpam-4769	209	5	fahd	fahd	PROPN
ejpam-4769	209	6	and	and	CCONJ
ejpam-4769	209	7	t	t	PROPN
ejpam-4769	209	8	abdeljawad	abdeljawad	NOUN
ejpam-4769	209	9	.	.	PUNCT
ejpam-4769	210	1	a	a	DET
ejpam-4769	210	2	modified	modify	VERB
ejpam-4769	210	3	laplace	laplace	NOUN
ejpam-4769	210	4	transform	transform	NOUN
ejpam-4769	210	5	for	for	ADP
ejpam-4769	210	6	certain	certain	ADJ
ejpam-4769	210	7	generalized	generalized	ADJ
ejpam-4769	210	8	fractional	fractional	ADJ
ejpam-4769	210	9	operators	operator	NOUN
ejpam-4769	210	10	.	.	PUNCT
ejpam-4769	211	1	res	re	NOUN
ejpam-4769	211	2	.	.	PUNCT
ejpam-4769	211	3	nonl	nonl	PROPN
ejpam-4769	211	4	.	.	PUNCT
ejpam-4769	212	1	anal	anal	PROPN
ejpam-4769	212	2	.	.	PROPN
ejpam-4769	212	3	,	,	PUNCT
ejpam-4769	212	4	2:88–98	2:88–98	NUM
ejpam-4769	212	5	,	,	PUNCT
ejpam-4769	212	6	2018	2018	NUM
ejpam-4769	212	7	.	.	PUNCT
ejpam-4769	213	1	[	[	X
ejpam-4769	213	2	17	17	NUM
ejpam-4769	213	3	]	]	PUNCT
ejpam-4769	213	4	a	a	DET
ejpam-4769	213	5	kilbas	kilbas	NOUN
ejpam-4769	213	6	g	g	PROPN
ejpam-4769	213	7	samko	samko	NOUN
ejpam-4769	213	8	and	and	CCONJ
ejpam-4769	213	9	o	o	NOUN
ejpam-4769	213	10	marichev	marichev	ADJ
ejpam-4769	213	11	.	.	PUNCT
ejpam-4769	214	1	fractional	fractional	ADJ
ejpam-4769	214	2	integrals	integral	NOUN
ejpam-4769	214	3	and	and	CCONJ
ejpam-4769	214	4	derivatives	derivative	NOUN
ejpam-4769	214	5	:	:	PUNCT
ejpam-4769	214	6	theory	theory	NOUN
ejpam-4769	214	7	and	and	CCONJ
ejpam-4769	214	8	applications	application	NOUN
ejpam-4769	214	9	.	.	PUNCT
ejpam-4769	215	1	gordon	gordon	PROPN
ejpam-4769	215	2	and	and	CCONJ
ejpam-4769	215	3	breach	breach	PROPN
ejpam-4769	215	4	,	,	PUNCT
ejpam-4769	215	5	amsterdam	amsterdam	PROPN
ejpam-4769	215	6	,	,	PUNCT
ejpam-4769	215	7	1993	1993	NUM
ejpam-4769	215	8	.	.	PUNCT
ejpam-4769	216	1	[	[	X
ejpam-4769	216	2	18	18	NUM
ejpam-4769	216	3	]	]	X
ejpam-4769	216	4	g	g	PROPN
ejpam-4769	216	5	xu	xu	PROPN
ejpam-4769	216	6	,	,	PUNCT
ejpam-4769	216	7	y	y	PROPN
ejpam-4769	216	8	shekofteh	shekofteh	PROPN
ejpam-4769	216	9	,	,	PUNCT
ejpam-4769	216	10	a	a	DET
ejpam-4769	216	11	akg¨ul	akg¨ul	NOUN
ejpam-4769	216	12	,	,	PUNCT
ejpam-4769	216	13	c	c	PROPN
ejpam-4769	216	14	li	li	PROPN
ejpam-4769	216	15	and	and	CCONJ
ejpam-4769	216	16	s.	s.	PROPN
ejpam-4769	216	17	panahi	panahi	PROPN
ejpam-4769	216	18	.	.	PUNCT
ejpam-4769	217	1	a	a	DET
ejpam-4769	217	2	new	new	ADJ
ejpam-4769	217	3	chaotic	chaotic	ADJ
ejpam-4769	217	4	system	system	NOUN
ejpam-4769	217	5	with	with	ADP
ejpam-4769	217	6	a	a	DET
ejpam-4769	217	7	selfexcited	selfexcite	VERB
ejpam-4769	217	8	attractor	attractor	NOUN
ejpam-4769	217	9	:	:	PUNCT
ejpam-4769	217	10	entropy	entropy	PROPN
ejpam-4769	217	11	measurement	measurement	PROPN
ejpam-4769	217	12	,	,	PUNCT
ejpam-4769	217	13	signal	signal	NOUN
ejpam-4769	217	14	encryption	encryption	NOUN
ejpam-4769	217	15	,	,	PUNCT
ejpam-4769	217	16	and	and	CCONJ
ejpam-4769	217	17	parameter	parameter	PROPN
ejpam-4769	217	18	estimation	estimation	NOUN
ejpam-4769	217	19	.	.	PUNCT
ejpam-4769	218	1	entropy	entropy	PROPN
ejpam-4769	218	2	,	,	PUNCT
ejpam-4769	218	3	20(2):86	20(2):86	NOUN
ejpam-4769	218	4	,	,	PUNCT
ejpam-4769	218	5	2018	2018	NUM
ejpam-4769	218	6	.	.	PUNCT
ejpam-4769	219	1	[	[	X
ejpam-4769	219	2	19	19	NUM
ejpam-4769	219	3	]	]	PUNCT
ejpam-4769	219	4	w	w	PROPN
ejpam-4769	219	5	gao	gao	PROPN
ejpam-4769	219	6	and	and	CCONJ
ejpam-4769	219	7	hm	hm	INTJ
ejpam-4769	219	8	baskonus	baskonus	ADJ
ejpam-4769	219	9	.	.	PUNCT
ejpam-4769	220	1	deeper	deep	ADJ
ejpam-4769	220	2	investigation	investigation	NOUN
ejpam-4769	220	3	of	of	ADP
ejpam-4769	220	4	modified	modified	ADJ
ejpam-4769	220	5	epidemiological	epidemiological	ADJ
ejpam-4769	220	6	computer	computer	NOUN
ejpam-4769	220	7	virus	virus	NOUN
ejpam-4769	220	8	model	model	NOUN
ejpam-4769	220	9	containing	contain	VERB
ejpam-4769	220	10	the	the	DET
ejpam-4769	220	11	caputo	caputo	PROPN
ejpam-4769	220	12	operator	operator	NOUN
ejpam-4769	220	13	.	.	PUNCT
ejpam-4769	221	1	chaos	chaos	NOUN
ejpam-4769	221	2	,	,	PUNCT
ejpam-4769	221	3	solitons	soliton	NOUN
ejpam-4769	221	4	and	and	CCONJ
ejpam-4769	221	5	fractals	fractal	NOUN
ejpam-4769	221	6	,	,	PUNCT
ejpam-4769	221	7	158:112050	158:112050	NUM
ejpam-4769	221	8	,	,	PUNCT
ejpam-4769	221	9	2022	2022	NUM
ejpam-4769	221	10	.	.	PUNCT
ejpam-4769	222	1	[	[	X
ejpam-4769	222	2	20	20	NUM
ejpam-4769	222	3	]	]	SYM
ejpam-4769	222	4	b	b	X
ejpam-4769	222	5	ghanbari	ghanbari	NOUN
ejpam-4769	222	6	and	and	CCONJ
ejpam-4769	222	7	d	d	X
ejpam-4769	222	8	a	a	DET
ejpam-4769	222	9	atangana	atangana	PROPN
ejpam-4769	222	10	.	.	PUNCT
ejpam-4769	223	1	some	some	PRON
ejpam-4769	223	2	new	new	ADJ
ejpam-4769	223	3	edge	edge	NOUN
ejpam-4769	223	4	detecting	detect	VERB
ejpam-4769	223	5	techniques	technique	NOUN
ejpam-4769	223	6	based	base	VERB
ejpam-4769	223	7	on	on	ADP
ejpam-4769	223	8	fractional	fractional	ADJ
ejpam-4769	223	9	derivatives	derivative	NOUN
ejpam-4769	223	10	with	with	ADP
ejpam-4769	223	11	nonlocal	nonlocal	ADJ
ejpam-4769	223	12	and	and	CCONJ
ejpam-4769	223	13	non	non	ADJ
ejpam-4769	223	14	-	-	ADJ
ejpam-4769	223	15	singular	singular	ADJ
ejpam-4769	223	16	kernels	kernel	NOUN
ejpam-4769	223	17	.	.	PUNCT
ejpam-4769	224	1	adv	adv	PROPN
ejpam-4769	224	2	.	.	PUNCT
ejpam-4769	225	1	diff	diff	PROPN
ejpam-4769	225	2	.	.	PUNCT
ejpam-4769	226	1	equa	equa	NOUN
ejpam-4769	226	2	.	.	PUNCT
ejpam-4769	226	3	,	,	PUNCT
ejpam-4769	226	4	2020:435	2020:435	NUM
ejpam-4769	226	5	,	,	PUNCT
ejpam-4769	226	6	2020	2020	NUM
ejpam-4769	226	7	.	.	PUNCT
ejpam-4769	227	1	[	[	X
ejpam-4769	227	2	21	21	NUM
ejpam-4769	227	3	]	]	X
ejpam-4769	227	4	z	z	NOUN
ejpam-4769	227	5	hammouch	hammouch	NOUN
ejpam-4769	227	6	and	and	CCONJ
ejpam-4769	227	7	t	t	PROPN
ejpam-4769	227	8	mekkaoui	mekkaoui	NOUN
ejpam-4769	227	9	.	.	PUNCT
ejpam-4769	228	1	traveling	travel	VERB
ejpam-4769	228	2	-	-	PUNCT
ejpam-4769	228	3	wave	wave	NOUN
ejpam-4769	228	4	solutions	solution	NOUN
ejpam-4769	228	5	of	of	ADP
ejpam-4769	228	6	the	the	DET
ejpam-4769	228	7	generalized	generalized	ADJ
ejpam-4769	228	8	zakharov	zakharov	ADJ
ejpam-4769	228	9	equation	equation	NOUN
ejpam-4769	228	10	with	with	ADP
ejpam-4769	228	11	time	time	NOUN
ejpam-4769	228	12	-	-	PUNCT
ejpam-4769	228	13	space	space	NOUN
ejpam-4769	228	14	fractional	fractional	ADJ
ejpam-4769	228	15	derivatives	derivative	NOUN
ejpam-4769	228	16	.	.	PUNCT
ejpam-4769	229	1	math	math	PROPN
ejpam-4769	229	2	eng	eng	PROPN
ejpam-4769	229	3	sci	sci	PROPN
ejpam-4769	229	4	aerosp	aerosp	PROPN
ejpam-4769	229	5	mesa	mesa	PROPN
ejpam-4769	229	6	,	,	PUNCT
ejpam-4769	229	7	5(4):1–11	5(4):1–11	NUM
ejpam-4769	229	8	,	,	PUNCT
ejpam-4769	229	9	2014	2014	NUM
ejpam-4769	229	10	.	.	PUNCT
ejpam-4769	230	1	[	[	X
ejpam-4769	230	2	22	22	NUM
ejpam-4769	230	3	]	]	X
ejpam-4769	230	4	j	j	PROPN
ejpam-4769	230	5	singh	singh	PROPN
ejpam-4769	230	6	,	,	PUNCT
ejpam-4769	230	7	d	d	PROPN
ejpam-4769	230	8	kumar	kumar	PROPN
ejpam-4769	230	9	,	,	PUNCT
ejpam-4769	230	10	z	z	NOUN
ejpam-4769	230	11	hammouch	hammouch	ADJ
ejpam-4769	230	12	and	and	CCONJ
ejpam-4769	230	13	a	a	DET
ejpam-4769	230	14	atangana	atangana	NOUN
ejpam-4769	230	15	.	.	PUNCT
ejpam-4769	231	1	a	a	DET
ejpam-4769	231	2	fractional	fractional	ADJ
ejpam-4769	231	3	epidemiological	epidemiological	ADJ
ejpam-4769	231	4	model	model	NOUN
ejpam-4769	231	5	for	for	ADP
ejpam-4769	231	6	computer	computer	NOUN
ejpam-4769	231	7	viruses	virus	NOUN
ejpam-4769	231	8	pertaining	pertain	VERB
ejpam-4769	231	9	to	to	ADP
ejpam-4769	231	10	a	a	DET
ejpam-4769	231	11	new	new	ADJ
ejpam-4769	231	12	fractional	fractional	ADJ
ejpam-4769	231	13	derivative	derivative	NOUN
ejpam-4769	231	14	.	.	PUNCT
ejpam-4769	232	1	appl	appl	PROPN
ejpam-4769	232	2	math	math	PROPN
ejpam-4769	232	3	comput	comput	PROPN
ejpam-4769	232	4	,	,	PUNCT
ejpam-4769	232	5	316:504–515	316:504–515	NUM
ejpam-4769	232	6	,	,	PUNCT
ejpam-4769	232	7	2018	2018	NUM
ejpam-4769	232	8	.	.	PUNCT
ejpam-4769	233	1	[	[	X
ejpam-4769	233	2	23	23	NUM
ejpam-4769	233	3	]	]	X
ejpam-4769	233	4	f	f	PROPN
ejpam-4769	233	5	s	s	PROPN
ejpam-4769	233	6	khan	khan	PROPN
ejpam-4769	233	7	,	,	PUNCT
ejpam-4769	233	8	m	m	PROPN
ejpam-4769	233	9	khalid	khalid	PROPN
ejpam-4769	233	10	,	,	PUNCT
ejpam-4769	233	11	a	a	DET
ejpam-4769	233	12	a	a	DET
ejpam-4769	233	13	al	al	PROPN
ejpam-4769	233	14	-	-	PUNCT
ejpam-4769	233	15	moneef	moneef	PROPN
ejpam-4769	233	16	,	,	PUNCT
ejpam-4769	233	17	a	a	DET
ejpam-4769	233	18	h	h	NOUN
ejpam-4769	233	19	ali	ali	PROPN
ejpam-4769	233	20	,	,	PUNCT
ejpam-4769	233	21	and	and	CCONJ
ejpam-4769	233	22	o	o	PROPN
ejpam-4769	233	23	bazighifan	bazighifan	NOUN
ejpam-4769	233	24	.	.	PUNCT
ejpam-4769	234	1	freelance	freelance	NOUN
ejpam-4769	234	2	model	model	NOUN
ejpam-4769	234	3	with	with	ADP
ejpam-4769	234	4	atangana	atangana	PROPN
ejpam-4769	234	5	baleanu	baleanu	PROPN
ejpam-4769	234	6	caputo	caputo	PROPN
ejpam-4769	234	7	fractional	fractional	PROPN
ejpam-4769	234	8	derivative	derivative	PROPN
ejpam-4769	234	9	.	.	PUNCT
ejpam-4769	235	1	symmetry	symmetry	NOUN
ejpam-4769	235	2	,	,	PUNCT
ejpam-4769	235	3	14(11	14(11	NUM
ejpam-4769	235	4	)	)	PUNCT
ejpam-4769	235	5	,	,	PUNCT
ejpam-4769	235	6	2022	2022	NUM
ejpam-4769	235	7	.	.	PUNCT
ejpam-4769	236	1	[	[	X
ejpam-4769	236	2	24	24	NUM
ejpam-4769	236	3	]	]	X
ejpam-4769	236	4	l	l	NOUN
ejpam-4769	236	5	c	c	PROPN
ejpam-4769	236	6	d	d	X
ejpam-4769	236	7	barros	barros	PROPN
ejpam-4769	236	8	,	,	PUNCT
ejpam-4769	236	9	m	m	PROPN
ejpam-4769	236	10	m	m	PROPN
ejpam-4769	236	11	lopes	lope	NOUN
ejpam-4769	236	12	,	,	PUNCT
ejpam-4769	236	13	f	f	PROPN
ejpam-4769	236	14	s	s	PROPN
ejpam-4769	236	15	pedro	pedro	PROPN
ejpam-4769	236	16	,	,	PUNCT
ejpam-4769	236	17	e	e	PROPN
ejpam-4769	236	18	esmi	esmi	PROPN
ejpam-4769	236	19	,	,	PUNCT
ejpam-4769	236	20	j	j	PROPN
ejpam-4769	236	21	p	p	X
ejpam-4769	236	22	c	c	PROPN
ejpam-4769	237	1	d	d	X
ejpam-4769	237	2	santos	santo	NOUN
ejpam-4769	237	3	and	and	CCONJ
ejpam-4769	237	4	d	d	ADP
ejpam-4769	237	5	e	e	PROPN
ejpam-4769	237	6	sánchez	sánchez	PROPN
ejpam-4769	237	7	.	.	PUNCT
ejpam-4769	238	1	the	the	DET
ejpam-4769	238	2	memory	memory	NOUN
ejpam-4769	238	3	effect	effect	NOUN
ejpam-4769	238	4	on	on	ADP
ejpam-4769	238	5	fractional	fractional	ADJ
ejpam-4769	238	6	calculus	calculus	NOUN
ejpam-4769	238	7	:	:	PUNCT
ejpam-4769	238	8	an	an	DET
ejpam-4769	238	9	application	application	NOUN
ejpam-4769	238	10	in	in	ADP
ejpam-4769	238	11	the	the	DET
ejpam-4769	238	12	spread	spread	NOUN
ejpam-4769	238	13	of	of	ADP
ejpam-4769	238	14	covid-19	covid-19	PROPN
ejpam-4769	238	15	.	.	PUNCT
ejpam-4769	238	16	appl	appl	PROPN
ejpam-4769	238	17	.	.	PROPN
ejpam-4769	238	18	math	math	PROPN
ejpam-4769	238	19	.	.	PUNCT
ejpam-4769	238	20	,	,	PUNCT
ejpam-4769	238	21	40:1–21	40:1–21	NUM
ejpam-4769	238	22	,	,	PUNCT
ejpam-4769	238	23	2021	2021	NUM
ejpam-4769	238	24	.	.	PUNCT
ejpam-4769	239	1	[	[	X
ejpam-4769	239	2	25	25	NUM
ejpam-4769	239	3	]	]	X
ejpam-4769	239	4	f	f	PROPN
ejpam-4769	239	5	l	l	PROPN
ejpam-4769	239	6	hasan	hasan	PROPN
ejpam-4769	239	7	m	m	PROPN
ejpam-4769	239	8	a	a	DET
ejpam-4769	239	9	abdoon	abdoon	NOUN
ejpam-4769	239	10	and	and	CCONJ
ejpam-4769	239	11	n	n	CCONJ
ejpam-4769	239	12	e	e	PROPN
ejpam-4769	239	13	taha	taha	PROPN
ejpam-4769	239	14	.	.	PUNCT
ejpam-4769	240	1	computational	computational	ADJ
ejpam-4769	240	2	technique	technique	NOUN
ejpam-4769	240	3	to	to	PART
ejpam-4769	240	4	study	study	VERB
ejpam-4769	240	5	analytical	analytical	ADJ
ejpam-4769	240	6	solutions	solution	NOUN
ejpam-4769	240	7	to	to	ADP
ejpam-4769	240	8	the	the	DET
ejpam-4769	240	9	fractional	fractional	ADJ
ejpam-4769	240	10	modified	modify	VERB
ejpam-4769	240	11	kdv	kdv	PROPN
ejpam-4769	240	12	-	-	PUNCT
ejpam-4769	240	13	zakharov	zakharov	ADJ
ejpam-4769	240	14	-	-	PUNCT
ejpam-4769	240	15	kuznetsov	kuznetsov	NOUN
ejpam-4769	240	16	equation	equation	NOUN
ejpam-4769	240	17	.	.	PUNCT
ejpam-4769	241	1	abstract	abstract	ADJ
ejpam-4769	241	2	and	and	CCONJ
ejpam-4769	241	3	applied	apply	VERB
ejpam-4769	241	4	analysis	analysis	NOUN
ejpam-4769	241	5	,	,	PUNCT
ejpam-4769	241	6	2022	2022	NUM
ejpam-4769	241	7	:p	:p	NOUN
ejpam-4769	241	8	.	.	PUNCT
ejpam-4769	242	1	9	9	NUM
ejpam-4769	242	2	,	,	PUNCT
ejpam-4769	242	3	2022	2022	NUM
ejpam-4769	242	4	.	.	PUNCT
ejpam-4769	243	1	references	reference	NOUN
ejpam-4769	243	2	1138	1138	NUM
ejpam-4769	244	1	[	[	X
ejpam-4769	244	2	26	26	NUM
ejpam-4769	244	3	]	]	X
ejpam-4769	244	4	m	m	VERB
ejpam-4769	244	5	borah	borah	NOUN
ejpam-4769	244	6	,	,	PUNCT
ejpam-4769	244	7	p	p	PROPN
ejpam-4769	244	8	p	p	PROPN
ejpam-4769	244	9	singh	singh	PROPN
ejpam-4769	244	10	and	and	CCONJ
ejpam-4769	244	11	b	b	PROPN
ejpam-4769	244	12	k	k	PROPN
ejpam-4769	244	13	roy	roy	PROPN
ejpam-4769	244	14	.	.	PROPN
ejpam-4769	244	15	improved	improve	VERB
ejpam-4769	244	16	chaotic	chaotic	ADJ
ejpam-4769	244	17	dynamics	dynamic	NOUN
ejpam-4769	244	18	of	of	ADP
ejpam-4769	244	19	a	a	DET
ejpam-4769	244	20	fractional	fractional	ADJ
ejpam-4769	244	21	order	order	NOUN
ejpam-4769	244	22	system	system	NOUN
ejpam-4769	244	23	,	,	PUNCT
ejpam-4769	244	24	its	its	PRON
ejpam-4769	244	25	chaos	chaos	NOUN
ejpam-4769	244	26	-	-	PUNCT
ejpam-4769	244	27	suppressed	suppress	VERB
ejpam-4769	244	28	synchronisation	synchronisation	NOUN
ejpam-4769	244	29	and	and	CCONJ
ejpam-4769	244	30	circuit	circuit	NOUN
ejpam-4769	244	31	implementation	implementation	NOUN
ejpam-4769	244	32	.	.	PUNCT
ejpam-4769	245	1	circuit	circuit	PROPN
ejpam-4769	245	2	syst	syst	PROPN
ejpam-4769	245	3	.	.	PUNCT
ejpam-4769	245	4	signal	signal	PROPN
ejpam-4769	245	5	process	process	NOUN
ejpam-4769	245	6	,	,	PUNCT
ejpam-4769	245	7	35:1871–1907	35:1871–1907	NUM
ejpam-4769	245	8	,	,	PUNCT
ejpam-4769	245	9	2016	2016	NUM
ejpam-4769	245	10	.	.	PUNCT
ejpam-4769	246	1	[	[	X
ejpam-4769	246	2	27	27	NUM
ejpam-4769	246	3	]	]	X
ejpam-4769	246	4	m	m	AUX
ejpam-4769	246	5	noshad	noshad	VERB
ejpam-4769	246	6	,	,	PUNCT
ejpam-4769	246	7	a	a	DET
ejpam-4769	246	8	pishkoo	pishkoo	NOUN
ejpam-4769	246	9	and	and	CCONJ
ejpam-4769	246	10	m	m	NOUN
ejpam-4769	246	11	darus	darus	NOUN
ejpam-4769	246	12	.	.	PUNCT
ejpam-4769	247	1	solving	solve	VERB
ejpam-4769	247	2	conformable	conformable	ADJ
ejpam-4769	247	3	fractional	fractional	ADJ
ejpam-4769	247	4	differential	differential	ADJ
ejpam-4769	247	5	equations	equation	NOUN
ejpam-4769	247	6	with	with	ADP
ejpam-4769	247	7	“	"	PUNCT
ejpam-4769	247	8	ejs	ejs	PROPN
ejpam-4769	247	9	software	software	NOUN
ejpam-4769	247	10	and	and	CCONJ
ejpam-4769	247	11	visualization	visualization	NOUN
ejpam-4769	247	12	of	of	ADP
ejpam-4769	247	13	sub	sub	ADJ
ejpam-4769	247	14	-	-	ADJ
ejpam-4769	247	15	diffusion	diffusion	NOUN
ejpam-4769	247	16	process	process	NOUN
ejpam-4769	247	17	.	.	PUNCT
ejpam-4769	248	1	european	european	ADJ
ejpam-4769	248	2	journal	journal	PROPN
ejpam-4769	248	3	of	of	ADP
ejpam-4769	248	4	pure	pure	ADJ
ejpam-4769	248	5	and	and	CCONJ
ejpam-4769	248	6	applied	applied	ADJ
ejpam-4769	248	7	mathematics	mathematic	NOUN
ejpam-4769	248	8	,	,	PUNCT
ejpam-4769	248	9	15(4):1738–1749	15(4):1738–1749	NUM
ejpam-4769	248	10	,	,	PUNCT
ejpam-4769	248	11	2022	2022	NUM
ejpam-4769	248	12	.	.	PUNCT
ejpam-4769	249	1	[	[	X
ejpam-4769	249	2	28	28	NUM
ejpam-4769	249	3	]	]	X
ejpam-4769	249	4	z	z	NOUN
ejpam-4769	249	5	odibat	odibat	NOUN
ejpam-4769	249	6	and	and	CCONJ
ejpam-4769	249	7	d	d	NOUN
ejpam-4769	249	8	baleanu	baleanu	NOUN
ejpam-4769	249	9	.	.	PUNCT
ejpam-4769	250	1	numerical	numerical	PROPN
ejpam-4769	250	2	simulation	simulation	PROPN
ejpam-4769	250	3	of	of	ADP
ejpam-4769	250	4	initial	initial	ADJ
ejpam-4769	250	5	value	value	NOUN
ejpam-4769	250	6	problems	problem	NOUN
ejpam-4769	250	7	with	with	ADP
ejpam-4769	250	8	generalized	generalized	ADJ
ejpam-4769	250	9	caputo	caputo	NOUN
ejpam-4769	250	10	-	-	PUNCT
ejpam-4769	250	11	type	type	NOUN
ejpam-4769	250	12	fractional	fractional	ADJ
ejpam-4769	250	13	derivatives	derivative	NOUN
ejpam-4769	250	14	.	.	PUNCT
ejpam-4769	251	1	applied	apply	VERB
ejpam-4769	251	2	numerical	numerical	ADJ
ejpam-4769	251	3	mathematics	mathematic	NOUN
ejpam-4769	251	4	:	:	PUNCT
ejpam-4769	251	5	transactions	transaction	NOUN
ejpam-4769	251	6	of	of	ADP
ejpam-4769	251	7	imacs	imac	NOUN
ejpam-4769	251	8	,	,	PUNCT
ejpam-4769	251	9	156:94	156:94	NUM
ejpam-4769	251	10	–	–	PUNCT
ejpam-4769	251	11	105	105	NUM
ejpam-4769	251	12	,	,	PUNCT
ejpam-4769	251	13	2020	2020	NUM
ejpam-4769	251	14	.	.	PUNCT
ejpam-4769	252	1	[	[	X
ejpam-4769	252	2	29	29	NUM
ejpam-4769	252	3	]	]	X
ejpam-4769	252	4	k	k	PROPN
ejpam-4769	252	5	b	b	PROPN
ejpam-4769	252	6	oldham	oldham	PROPN
ejpam-4769	252	7	and	and	CCONJ
ejpam-4769	252	8	j	j	PROPN
ejpam-4769	252	9	spanier	spanier	NOUN
ejpam-4769	252	10	.	.	PUNCT
ejpam-4769	253	1	the	the	DET
ejpam-4769	253	2	fractional	fractional	ADJ
ejpam-4769	253	3	calculus	calculus	NOUN
ejpam-4769	253	4	.	.	PUNCT
ejpam-4769	254	1	academic	academic	ADJ
ejpam-4769	254	2	press	press	NOUN
ejpam-4769	254	3	,	,	PUNCT
ejpam-4769	254	4	new	new	PROPN
ejpam-4769	254	5	york	york	PROPN
ejpam-4769	254	6	,	,	PUNCT
ejpam-4769	254	7	1974	1974	NUM
ejpam-4769	254	8	.	.	PUNCT
ejpam-4769	255	1	[	[	X
ejpam-4769	255	2	30	30	NUM
ejpam-4769	255	3	]	]	X
ejpam-4769	255	4	i	i	PROPN
ejpam-4769	255	5	petras	petras	PROPN
ejpam-4769	255	6	.	.	PUNCT
ejpam-4769	255	7	control	control	NOUN
ejpam-4769	255	8	of	of	ADP
ejpam-4769	255	9	fractional	fractional	ADJ
ejpam-4769	255	10	-	-	PUNCT
ejpam-4769	255	11	order	order	NOUN
ejpam-4769	255	12	chua	chua	PROPN
ejpam-4769	255	13	’s	’s	PART
ejpam-4769	255	14	system	system	NOUN
ejpam-4769	255	15	.	.	PUNCT
ejpam-4769	256	1	j.	j.	PROPN
ejpam-4769	256	2	elec	elec	PROPN
ejpam-4769	256	3	.	.	PUNCT
ejpam-4769	257	1	engi	engi	PROPN
ejpam-4769	257	2	.	.	PUNCT
ejpam-4769	257	3	,	,	PUNCT
ejpam-4769	258	1	53:219–222	53:219–222	NUM
ejpam-4769	258	2	,	,	PUNCT
ejpam-4769	258	3	2002	2002	NUM
ejpam-4769	258	4	.	.	PUNCT
ejpam-4769	259	1	[	[	X
ejpam-4769	259	2	31	31	NUM
ejpam-4769	259	3	]	]	X
ejpam-4769	259	4	i	i	PROPN
ejpam-4769	259	5	petras	petras	PROPN
ejpam-4769	259	6	.	.	PUNCT
ejpam-4769	260	1	a	a	DET
ejpam-4769	260	2	note	note	NOUN
ejpam-4769	260	3	on	on	ADP
ejpam-4769	260	4	the	the	DET
ejpam-4769	260	5	fractional	fractional	ADJ
ejpam-4769	260	6	-	-	PUNCT
ejpam-4769	260	7	order	order	NOUN
ejpam-4769	260	8	chua	chua	PROPN
ejpam-4769	260	9	’s	’s	PART
ejpam-4769	260	10	system	system	NOUN
ejpam-4769	260	11	.	.	PUNCT
ejpam-4769	261	1	chaos	chaos	NOUN
ejpam-4769	261	2	,	,	PUNCT
ejpam-4769	261	3	solitons	soliton	NOUN
ejpam-4769	261	4	and	and	CCONJ
ejpam-4769	261	5	fractals	fractal	NOUN
ejpam-4769	261	6	,	,	PUNCT
ejpam-4769	261	7	38:140–147	38:140–147	NUM
ejpam-4769	261	8	,	,	PUNCT
ejpam-4769	261	9	2008	2008	NUM
ejpam-4769	261	10	.	.	PUNCT
ejpam-4769	262	1	[	[	X
ejpam-4769	262	2	32	32	NUM
ejpam-4769	262	3	]	]	PUNCT
ejpam-4769	262	4	i	i	PRON
ejpam-4769	262	5	podlubny	podlubny	NOUN
ejpam-4769	262	6	.	.	PUNCT
ejpam-4769	263	1	fractional	fractional	ADJ
ejpam-4769	263	2	differential	differential	ADJ
ejpam-4769	263	3	equations	equation	NOUN
ejpam-4769	263	4	.	.	PUNCT
ejpam-4769	264	1	academic	academic	ADJ
ejpam-4769	264	2	press	press	NOUN
ejpam-4769	264	3	,	,	PUNCT
ejpam-4769	264	4	new	new	PROPN
ejpam-4769	264	5	york	york	PROPN
ejpam-4769	264	6	,	,	PUNCT
ejpam-4769	264	7	1999	1999	NUM
ejpam-4769	264	8	.	.	PUNCT
ejpam-4769	265	1	[	[	X
ejpam-4769	265	2	33	33	NUM
ejpam-4769	265	3	]	]	X
ejpam-4769	265	4	i	i	PRON
ejpam-4769	265	5	podlubny	podlubny	NOUN
ejpam-4769	265	6	.	.	PUNCT
ejpam-4769	266	1	fractional	fractional	ADJ
ejpam-4769	266	2	differential	differential	ADJ
ejpam-4769	266	3	equations	equation	NOUN
ejpam-4769	266	4	:	:	PUNCT
ejpam-4769	266	5	an	an	DET
ejpam-4769	266	6	introduction	introduction	NOUN
ejpam-4769	266	7	to	to	ADP
ejpam-4769	266	8	fractional	fractional	ADJ
ejpam-4769	266	9	derivatives	derivative	NOUN
ejpam-4769	266	10	,	,	PUNCT
ejpam-4769	266	11	fractional	fractional	ADJ
ejpam-4769	266	12	differential	differential	ADJ
ejpam-4769	266	13	equations	equation	NOUN
ejpam-4769	266	14	,	,	PUNCT
ejpam-4769	266	15	to	to	ADP
ejpam-4769	266	16	methods	method	NOUN
ejpam-4769	266	17	of	of	ADP
ejpam-4769	266	18	their	their	PRON
ejpam-4769	266	19	solution	solution	NOUN
ejpam-4769	266	20	and	and	CCONJ
ejpam-4769	266	21	some	some	PRON
ejpam-4769	266	22	of	of	ADP
ejpam-4769	266	23	their	their	PRON
ejpam-4769	266	24	applications	application	NOUN
ejpam-4769	266	25	.	.	PUNCT
ejpam-4769	267	1	mathematics	mathematic	NOUN
ejpam-4769	267	2	in	in	ADP
ejpam-4769	267	3	science	science	NOUN
ejpam-4769	267	4	and	and	CCONJ
ejpam-4769	267	5	engineering	engineering	NOUN
ejpam-4769	267	6	,	,	PUNCT
ejpam-4769	267	7	198	198	NUM
ejpam-4769	267	8	,	,	PUNCT
ejpam-4769	267	9	1999	1999	NUM
ejpam-4769	267	10	.	.	PUNCT
ejpam-4769	268	1	[	[	X
ejpam-4769	268	2	34	34	NUM
ejpam-4769	268	3	]	]	X
ejpam-4769	268	4	q	q	X
ejpam-4769	268	5	lai	lai	PROPN
ejpam-4769	268	6	,	,	PUNCT
ejpam-4769	268	7	a	a	DET
ejpam-4769	268	8	akgul	akgul	NOUN
ejpam-4769	268	9	,	,	PUNCT
ejpam-4769	268	10	c	c	PROPN
ejpam-4769	268	11	li	li	PROPN
ejpam-4769	268	12	,	,	PUNCT
ejpam-4769	268	13	g	g	PROPN
ejpam-4769	268	14	xu	xu	PROPN
ejpam-4769	268	15	and	and	CCONJ
ejpam-4769	268	16	u	u	PROPN
ejpam-4769	268	17	cavuşoğlu	cavuşoğlu	PROPN
ejpam-4769	268	18	.	.	PUNCT
ejpam-4769	269	1	a	a	DET
ejpam-4769	269	2	new	new	ADJ
ejpam-4769	269	3	chaotic	chaotic	ADJ
ejpam-4769	269	4	system	system	NOUN
ejpam-4769	269	5	with	with	ADP
ejpam-4769	269	6	multiple	multiple	ADJ
ejpam-4769	269	7	attractors	attractor	NOUN
ejpam-4769	269	8	:	:	PUNCT
ejpam-4769	269	9	dynamic	dynamic	ADJ
ejpam-4769	269	10	analysis	analysis	NOUN
ejpam-4769	269	11	,	,	PUNCT
ejpam-4769	269	12	circuit	circuit	NOUN
ejpam-4769	269	13	realization	realization	NOUN
ejpam-4769	269	14	and	and	CCONJ
ejpam-4769	269	15	s	s	NOUN
ejpam-4769	269	16	-	-	PUNCT
ejpam-4769	269	17	box	box	NOUN
ejpam-4769	269	18	design	design	NOUN
ejpam-4769	269	19	.	.	PUNCT
ejpam-4769	270	1	entropy	entropy	PROPN
ejpam-4769	270	2	,	,	PUNCT
ejpam-4769	270	3	20(1):12	20(1):12	NUM
ejpam-4769	270	4	,	,	PUNCT
ejpam-4769	270	5	2018	2018	NUM
ejpam-4769	270	6	.	.	PUNCT
ejpam-4769	271	1	[	[	X
ejpam-4769	271	2	35	35	NUM
ejpam-4769	271	3	]	]	X
ejpam-4769	271	4	a	a	DET
ejpam-4769	271	5	qazza	qazza	NOUN
ejpam-4769	271	6	and	and	CCONJ
ejpam-4769	271	7	r	r	NOUN
ejpam-4769	271	8	saadeh	saadeh	PROPN
ejpam-4769	271	9	.	.	PUNCT
ejpam-4769	272	1	on	on	ADP
ejpam-4769	272	2	the	the	DET
ejpam-4769	272	3	analytical	analytical	ADJ
ejpam-4769	272	4	solution	solution	NOUN
ejpam-4769	272	5	of	of	ADP
ejpam-4769	272	6	fractional	fractional	ADJ
ejpam-4769	272	7	sir	sir	NOUN
ejpam-4769	272	8	epidemic	epidemic	NOUN
ejpam-4769	272	9	model	model	NOUN
ejpam-4769	272	10	.	.	PUNCT
ejpam-4769	273	1	applied	apply	VERB
ejpam-4769	273	2	computational	computational	ADJ
ejpam-4769	273	3	intelligence	intelligence	NOUN
ejpam-4769	273	4	and	and	CCONJ
ejpam-4769	273	5	soft	soft	ADJ
ejpam-4769	273	6	computing	computing	NOUN
ejpam-4769	273	7	,	,	PUNCT
ejpam-4769	273	8	2023	2023	NUM
ejpam-4769	273	9	:	:	PUNCT
ejpam-4769	273	10	p.16	p.16	PROPN
ejpam-4769	273	11	,	,	PUNCT
ejpam-4769	273	12	2023	2023	NUM
ejpam-4769	273	13	.	.	PUNCT
ejpam-4769	274	1	[	[	X
ejpam-4769	274	2	36	36	NUM
ejpam-4769	274	3	]	]	X
ejpam-4769	274	4	r	r	NOUN
ejpam-4769	274	5	saadeh	saadeh	PROPN
ejpam-4769	274	6	,	,	PUNCT
ejpam-4769	274	7	a	a	DET
ejpam-4769	274	8	qazza	qazza	PROPN
ejpam-4769	274	9	and	and	CCONJ
ejpam-4769	274	10	k.	k.	PROPN
ejpam-4769	274	11	amawi	amawi	PROPN
ejpam-4769	274	12	.	.	PUNCT
ejpam-4769	275	1	a	a	DET
ejpam-4769	275	2	new	new	ADJ
ejpam-4769	275	3	approach	approach	NOUN
ejpam-4769	275	4	using	use	VERB
ejpam-4769	275	5	integral	integral	ADJ
ejpam-4769	275	6	transform	transform	NOUN
ejpam-4769	275	7	to	to	PART
ejpam-4769	275	8	solve	solve	VERB
ejpam-4769	275	9	cancer	cancer	NOUN
ejpam-4769	275	10	models	model	NOUN
ejpam-4769	275	11	.	.	PUNCT
ejpam-4769	276	1	fractal	fractal	ADJ
ejpam-4769	276	2	and	and	CCONJ
ejpam-4769	276	3	fractional	fractional	ADJ
ejpam-4769	276	4	,	,	PUNCT
ejpam-4769	276	5	6(9):490	6(9):490	NUM
ejpam-4769	276	6	,	,	PUNCT
ejpam-4769	276	7	2022	2022	NUM
ejpam-4769	276	8	.	.	PUNCT
ejpam-4769	277	1	[	[	X
ejpam-4769	277	2	37	37	NUM
ejpam-4769	277	3	]	]	X
ejpam-4769	277	4	r	r	NOUN
ejpam-4769	277	5	saadeh	saadeh	NOUN
ejpam-4769	277	6	,	,	PUNCT
ejpam-4769	277	7	o	o	INTJ
ejpam-4769	277	8	ala’yed	ala’yed	PROPN
ejpam-4769	277	9	and	and	CCONJ
ejpam-4769	277	10	a	a	DET
ejpam-4769	277	11	qazza	qazza	NOUN
ejpam-4769	277	12	.	.	PUNCT
ejpam-4769	278	1	analytical	analytical	ADJ
ejpam-4769	278	2	solution	solution	NOUN
ejpam-4769	278	3	of	of	ADP
ejpam-4769	278	4	coupled	couple	VERB
ejpam-4769	278	5	hirota	hirota	PROPN
ejpam-4769	278	6	–	–	PUNCT
ejpam-4769	278	7	satsuma	satsuma	NOUN
ejpam-4769	278	8	and	and	CCONJ
ejpam-4769	278	9	kdv	kdv	PROPN
ejpam-4769	278	10	equations	equation	NOUN
ejpam-4769	278	11	.	.	PUNCT
ejpam-4769	279	1	fractal	fractal	PROPN
ejpam-4769	279	2	and	and	CCONJ
ejpam-4769	279	3	fractional	fractional	ADJ
ejpam-4769	279	4	,	,	PUNCT
ejpam-4769	279	5	6(12):694	6(12):694	NUM
ejpam-4769	279	6	,	,	PUNCT
ejpam-4769	279	7	2022	2022	NUM
ejpam-4769	279	8	.	.	PUNCT
ejpam-4769	280	1	[	[	X
ejpam-4769	280	2	38	38	NUM
ejpam-4769	280	3	]	]	PUNCT
ejpam-4769	280	4	a	a	DET
ejpam-4769	280	5	raza	raza	NOUN
ejpam-4769	280	6	,	,	PUNCT
ejpam-4769	280	7	a	a	DET
ejpam-4769	280	8	m	m	AUX
ejpam-4769	280	9	abed	abe	VERB
ejpam-4769	280	10	,	,	PUNCT
ejpam-4769	280	11	a	a	DET
ejpam-4769	280	12	y	y	PROPN
ejpam-4769	280	13	almusawa	almusawa	NOUN
ejpam-4769	280	14	,	,	PUNCT
ejpam-4769	280	15	l	l	NOUN
ejpam-4769	280	16	f	f	PROPN
ejpam-4769	280	17	seddek	seddek	NOUN
ejpam-4769	280	18	,	,	PUNCT
ejpam-4769	280	19	and	and	CCONJ
ejpam-4769	280	20	a	a	DET
ejpam-4769	280	21	h	h	NOUN
ejpam-4769	280	22	ali	ali	PROPN
ejpam-4769	280	23	.	.	PUNCT
ejpam-4769	281	1	prabhakar	prabhakar	PROPN
ejpam-4769	281	2	fractional	fractional	PROPN
ejpam-4769	281	3	simulation	simulation	NOUN
ejpam-4769	281	4	for	for	ADP
ejpam-4769	281	5	inspection	inspection	NOUN
ejpam-4769	281	6	of	of	ADP
ejpam-4769	281	7	cmc	cmc	NOUN
ejpam-4769	281	8	-	-	PUNCT
ejpam-4769	281	9	based	base	VERB
ejpam-4769	281	10	nanofluid	nanofluid	NOUN
ejpam-4769	281	11	flowing	flow	VERB
ejpam-4769	281	12	through	through	ADP
ejpam-4769	281	13	a	a	DET
ejpam-4769	281	14	poured	pour	VERB
ejpam-4769	281	15	vertical	vertical	ADJ
ejpam-4769	281	16	channel	channel	NOUN
ejpam-4769	281	17	.	.	PUNCT
ejpam-4769	282	1	case	case	NOUN
ejpam-4769	282	2	studies	study	NOUN
ejpam-4769	282	3	in	in	ADP
ejpam-4769	282	4	thermal	thermal	ADJ
ejpam-4769	282	5	engineering	engineering	NOUN
ejpam-4769	282	6	,	,	PUNCT
ejpam-4769	282	7	45	45	NUM
ejpam-4769	282	8	,	,	PUNCT
ejpam-4769	282	9	2023	2023	NUM
ejpam-4769	282	10	.	.	PUNCT
ejpam-4769	283	1	[	[	X
ejpam-4769	283	2	39	39	NUM
ejpam-4769	283	3	]	]	PUNCT
ejpam-4769	283	4	s	s	PART
ejpam-4769	283	5	kumar	kumar	PROPN
ejpam-4769	283	6	,	,	PUNCT
ejpam-4769	283	7	r	r	PROPN
ejpam-4769	283	8	kumar	kumar	PROPN
ejpam-4769	283	9	,	,	PUNCT
ejpam-4769	283	10	c	c	PROPN
ejpam-4769	283	11	cattani	cattani	PROPN
ejpam-4769	283	12	and	and	CCONJ
ejpam-4769	283	13	b	b	PROPN
ejpam-4769	283	14	samet	samet	NOUN
ejpam-4769	283	15	.	.	PUNCT
ejpam-4769	284	1	chaotic	chaotic	ADJ
ejpam-4769	284	2	behaviour	behaviour	NOUN
ejpam-4769	284	3	of	of	ADP
ejpam-4769	284	4	fractional	fractional	ADJ
ejpam-4769	284	5	predator	predator	NOUN
ejpam-4769	284	6	-	-	PUNCT
ejpam-4769	284	7	prey	prey	NOUN
ejpam-4769	284	8	dynamical	dynamical	ADJ
ejpam-4769	284	9	system	system	NOUN
ejpam-4769	284	10	.	.	PUNCT
ejpam-4769	285	1	chaos	chaos	NOUN
ejpam-4769	285	2	soli	soli	PROPN
ejpam-4769	285	3	.	.	PUNCT
ejpam-4769	286	1	fract	fract	PROPN
ejpam-4769	286	2	.	.	PROPN
ejpam-4769	286	3	,	,	PUNCT
ejpam-4769	286	4	135	135	NUM
ejpam-4769	286	5	:p	:p	NOUN
ejpam-4769	286	6	.	.	PROPN
ejpam-4769	287	1	12	12	NUM
ejpam-4769	287	2	,	,	PUNCT
ejpam-4769	287	3	2020	2020	NUM
ejpam-4769	287	4	.	.	PUNCT
ejpam-4769	288	1	[	[	X
ejpam-4769	288	2	40	40	NUM
ejpam-4769	288	3	]	]	PUNCT
ejpam-4769	288	4	n	n	CCONJ
ejpam-4769	288	5	sene	sene	ADJ
ejpam-4769	288	6	.	.	PUNCT
ejpam-4769	289	1	global	global	ADJ
ejpam-4769	289	2	asymptotic	asymptotic	ADJ
ejpam-4769	289	3	stability	stability	NOUN
ejpam-4769	289	4	of	of	ADP
ejpam-4769	289	5	the	the	DET
ejpam-4769	289	6	fractional	fractional	ADJ
ejpam-4769	289	7	differential	differential	ADJ
ejpam-4769	289	8	equations	equation	NOUN
ejpam-4769	289	9	.	.	PUNCT
ejpam-4769	290	1	j.	j.	PROPN
ejpam-4769	290	2	nonl	nonl	PROPN
ejpam-4769	290	3	.	.	PUNCT
ejpam-4769	291	1	scie	scie	PROPN
ejpam-4769	291	2	.	.	PUNCT
ejpam-4769	292	1	appl	appl	PROPN
ejpam-4769	292	2	.	.	PROPN
ejpam-4769	292	3	,	,	PUNCT
ejpam-4769	292	4	13:171–175	13:171–175	PROPN
ejpam-4769	292	5	,	,	PUNCT
ejpam-4769	292	6	2020	2020	NUM
ejpam-4769	292	7	.	.	PUNCT
ejpam-4769	293	1	references	reference	NOUN
ejpam-4769	293	2	1139	1139	NUM
ejpam-4769	294	1	[	[	X
ejpam-4769	294	2	41	41	NUM
ejpam-4769	294	3	]	]	PUNCT
ejpam-4769	294	4	n	n	CCONJ
ejpam-4769	294	5	sene	sene	ADJ
ejpam-4769	294	6	.	.	PUNCT
ejpam-4769	295	1	second	second	ADJ
ejpam-4769	295	2	-	-	PUNCT
ejpam-4769	295	3	grade	grade	NOUN
ejpam-4769	295	4	fluid	fluid	ADJ
ejpam-4769	295	5	model	model	NOUN
ejpam-4769	295	6	with	with	ADP
ejpam-4769	295	7	caputo	caputo	PROPN
ejpam-4769	295	8	-	-	PUNCT
ejpam-4769	295	9	liouville	liouville	NOUN
ejpam-4769	295	10	generalized	generalized	ADJ
ejpam-4769	295	11	fractional	fractional	ADJ
ejpam-4769	295	12	derivative	derivative	NOUN
ejpam-4769	295	13	.	.	PUNCT
ejpam-4769	296	1	chaos	chaos	NOUN
ejpam-4769	296	2	,	,	PUNCT
ejpam-4769	296	3	soli	soli	PROPN
ejpam-4769	296	4	.	.	PUNCT
ejpam-4769	297	1	fract	fract	PROPN
ejpam-4769	297	2	.	.	PUNCT
ejpam-4769	298	1	,	,	PUNCT
ejpam-4769	298	2	133	133	NUM
ejpam-4769	298	3	,	,	PUNCT
ejpam-4769	298	4	2020	2020	NUM
ejpam-4769	298	5	.	.	PUNCT
ejpam-4769	299	1	[	[	X
ejpam-4769	299	2	42	42	NUM
ejpam-4769	299	3	]	]	X
ejpam-4769	299	4	m	m	VERB
ejpam-4769	299	5	toufik	toufik	ADJ
ejpam-4769	299	6	and	and	CCONJ
ejpam-4769	299	7	a	a	DET
ejpam-4769	299	8	atangana	atangana	PROPN
ejpam-4769	299	9	.	.	PUNCT
ejpam-4769	300	1	new	new	ADJ
ejpam-4769	300	2	numerical	numerical	ADJ
ejpam-4769	300	3	approximation	approximation	NOUN
ejpam-4769	300	4	of	of	ADP
ejpam-4769	300	5	fractional	fractional	ADJ
ejpam-4769	300	6	derivative	derivative	NOUN
ejpam-4769	300	7	with	with	ADP
ejpam-4769	300	8	non	non	ADJ
ejpam-4769	300	9	-	-	ADJ
ejpam-4769	300	10	local	local	ADJ
ejpam-4769	300	11	and	and	CCONJ
ejpam-4769	300	12	non	non	ADJ
ejpam-4769	300	13	-	-	ADJ
ejpam-4769	300	14	singular	singular	ADJ
ejpam-4769	300	15	kernel	kernel	NOUN
ejpam-4769	300	16	:	:	PUNCT
ejpam-4769	300	17	application	application	NOUN
ejpam-4769	300	18	to	to	ADP
ejpam-4769	300	19	chaotic	chaotic	ADJ
ejpam-4769	300	20	models	model	NOUN
ejpam-4769	300	21	.	.	PUNCT
ejpam-4769	301	1	eur	eur	PROPN
ejpam-4769	301	2	phys	phys	PROPN
ejpam-4769	301	3	j	j	PROPN
ejpam-4769	301	4	plus	plus	CCONJ
ejpam-4769	301	5	,	,	PUNCT
ejpam-4769	301	6	132(10):444	132(10):444	NUM
ejpam-4769	301	7	,	,	PUNCT
ejpam-4769	301	8	2017	2017	NUM
ejpam-4769	301	9	.	.	PUNCT
ejpam-4769	302	1	[	[	X
ejpam-4769	302	2	43	43	NUM
ejpam-4769	302	3	]	]	X
ejpam-4769	302	4	u	u	PROPN
ejpam-4769	302	5	e	e	PROPN
ejpam-4769	302	6	vincent	vincent	PROPN
ejpam-4769	302	7	,	,	PUNCT
ejpam-4769	302	8	s	s	PROPN
ejpam-4769	302	9	o	o	PROPN
ejpam-4769	302	10	kareem	kareem	PROPN
ejpam-4769	302	11	,	,	PUNCT
ejpam-4769	302	12	b	b	PROPN
ejpam-4769	302	13	n	n	NOUN
ejpam-4769	302	14	nbendjo	nbendjo	VERB
ejpam-4769	302	15	and	and	CCONJ
ejpam-4769	302	16	a	a	DET
ejpam-4769	302	17	n	n	X
ejpam-4769	302	18	njah	njah	NOUN
ejpam-4769	302	19	.	.	PUNCT
ejpam-4769	303	1	quasi	quasi	ADJ
ejpam-4769	303	2	-	-	NOUN
ejpam-4769	303	3	synchronization	synchronization	ADJ
ejpam-4769	303	4	dynamics	dynamic	NOUN
ejpam-4769	303	5	of	of	ADP
ejpam-4769	303	6	coupled	couple	VERB
ejpam-4769	303	7	and	and	CCONJ
ejpam-4769	303	8	driven	drive	VERB
ejpam-4769	303	9	plasma	plasma	NOUN
ejpam-4769	303	10	oscillators	oscillator	NOUN
ejpam-4769	303	11	.	.	PUNCT
ejpam-4769	304	1	chaos	chaos	NOUN
ejpam-4769	304	2	solitons	soliton	NOUN
ejpam-4769	304	3	fractals	fractal	NOUN
ejpam-4769	304	4	,	,	PUNCT
ejpam-4769	304	5	70:85–94	70:85–94	NUM
ejpam-4769	304	6	,	,	PUNCT
ejpam-4769	304	7	2015	2015	NUM
ejpam-4769	304	8	.	.	PUNCT
ejpam-4769	305	1	[	[	X
ejpam-4769	305	2	44	44	NUM
ejpam-4769	305	3	]	]	PUNCT
ejpam-4769	305	4	z	z	NOUN
ejpam-4769	305	5	hammouch	hammouch	NOUN
ejpam-4769	305	6	,	,	PUNCT
ejpam-4769	305	7	t	t	PROPN
ejpam-4769	305	8	mekkaoui	mekkaoui	NOUN
ejpam-4769	305	9	and	and	CCONJ
ejpam-4769	305	10	fb	fb	NOUN
ejpam-4769	305	11	belgacem	belgacem	NOUN
ejpam-4769	305	12	.	.	PUNCT
ejpam-4769	306	1	numerical	numerical	ADJ
ejpam-4769	306	2	simulations	simulation	NOUN
ejpam-4769	306	3	for	for	ADP
ejpam-4769	306	4	a	a	DET
ejpam-4769	306	5	variable	variable	ADJ
ejpam-4769	306	6	order	order	NOUN
ejpam-4769	306	7	fractional	fractional	PROPN
ejpam-4769	306	8	schnakenberg	schnakenberg	PROPN
ejpam-4769	306	9	model	model	PROPN
ejpam-4769	306	10	.	.	PUNCT
ejpam-4769	307	1	aip	aip	PROPN
ejpam-4769	307	2	conf	conf	PROPN
ejpam-4769	307	3	proc	proc	PROPN
ejpam-4769	307	4	,	,	PUNCT
ejpam-4769	307	5	1637(1):1450–1455	1637(1):1450–1455	NUM
ejpam-4769	307	6	,	,	PUNCT
ejpam-4769	307	7	2014	2014	NUM
ejpam-4769	307	8	.	.	PUNCT
ejpam-4769	308	1	[	[	X
ejpam-4769	308	2	45	45	NUM
ejpam-4769	308	3	]	]	X
ejpam-4769	308	4	m	m	VERB
ejpam-4769	308	5	zeki	zeki	PROPN
ejpam-4769	308	6	and	and	CCONJ
ejpam-4769	308	7	s	s	VERB
ejpam-4769	308	8	tatar	tatar	NOUN
ejpam-4769	308	9	.	.	PUNCT
ejpam-4769	309	1	an	an	DET
ejpam-4769	309	2	iterative	iterative	NOUN
ejpam-4769	309	3	approach	approach	NOUN
ejpam-4769	309	4	for	for	ADP
ejpam-4769	309	5	numerical	numerical	ADJ
ejpam-4769	309	6	solution	solution	NOUN
ejpam-4769	309	7	to	to	ADP
ejpam-4769	309	8	the	the	DET
ejpam-4769	309	9	timefractional	timefractional	ADJ
ejpam-4769	309	10	richards	richard	NOUN
ejpam-4769	309	11	equation	equation	NOUN
ejpam-4769	309	12	with	with	ADP
ejpam-4769	309	13	implicit	implicit	ADJ
ejpam-4769	309	14	neumann	neumann	PROPN
ejpam-4769	309	15	boundary	boundary	ADJ
ejpam-4769	309	16	conditions	condition	NOUN
ejpam-4769	309	17	.	.	PUNCT
ejpam-4769	310	1	european	european	ADJ
ejpam-4769	310	2	journal	journal	PROPN
ejpam-4769	310	3	of	of	ADP
ejpam-4769	310	4	pure	pure	ADJ
ejpam-4769	310	5	and	and	CCONJ
ejpam-4769	310	6	applied	applied	ADJ
ejpam-4769	310	7	mathematics	mathematic	NOUN
ejpam-4769	310	8	,	,	PUNCT
ejpam-4769	310	9	16(1):491–502	16(1):491–502	PROPN
ejpam-4769	310	10	,	,	PUNCT
ejpam-4769	310	11	2023	2023	NUM
ejpam-4769	310	12	.	.	PUNCT