id	sid	tid	token	lemma	pos
ejpam-6381	1	1	european	european	PROPN
ejpam-6381	1	2	journal	journal	PROPN
ejpam-6381	1	3	of	of	ADP
ejpam-6381	1	4	pure	pure	ADJ
ejpam-6381	1	5	and	and	CCONJ
ejpam-6381	1	6	applied	applied	ADJ
ejpam-6381	1	7	mathematics	mathematic	NOUN
ejpam-6381	1	8	2025	2025	NUM
ejpam-6381	1	9	,	,	PUNCT
ejpam-6381	1	10	vol	vol	NOUN
ejpam-6381	1	11	.	.	PROPN
ejpam-6381	1	12	18	18	NUM
ejpam-6381	1	13	,	,	PUNCT
ejpam-6381	1	14	issue	issue	NOUN
ejpam-6381	1	15	3	3	NUM
ejpam-6381	1	16	,	,	PUNCT
ejpam-6381	1	17	article	article	NOUN
ejpam-6381	1	18	number	number	NOUN
ejpam-6381	1	19	6381	6381	NUM
ejpam-6381	1	20	issn	issn	VERB
ejpam-6381	1	21	1307	1307	NUM
ejpam-6381	1	22	-	-	SYM
ejpam-6381	1	23	5543	5543	NUM
ejpam-6381	1	24	–	–	PUNCT
ejpam-6381	1	25	ejpam.com	ejpam.com	X
ejpam-6381	1	26	published	publish	VERB
ejpam-6381	1	27	by	by	ADP
ejpam-6381	1	28	new	new	PROPN
ejpam-6381	1	29	york	york	PROPN
ejpam-6381	1	30	business	business	PROPN
ejpam-6381	1	31	global	global	ADJ
ejpam-6381	1	32	analytical	analytical	ADJ
ejpam-6381	1	33	and	and	CCONJ
ejpam-6381	1	34	numerical	numerical	ADJ
ejpam-6381	1	35	investigation	investigation	NOUN
ejpam-6381	1	36	of	of	ADP
ejpam-6381	1	37	a	a	DET
ejpam-6381	1	38	fractional	fractional	ADJ
ejpam-6381	1	39	-	-	PUNCT
ejpam-6381	1	40	order	order	NOUN
ejpam-6381	1	41	4d	4d	NUM
ejpam-6381	1	42	chaotic	chaotic	ADJ
ejpam-6381	1	43	system	system	NOUN
ejpam-6381	1	44	via	via	ADP
ejpam-6381	1	45	caputo	caputo	PROPN
ejpam-6381	1	46	fractional	fractional	PROPN
ejpam-6381	1	47	derivative	derivative	PROPN
ejpam-6381	1	48	ilhem	ilhem	PROPN
ejpam-6381	1	49	kadri1,∗	kadri1,∗	NOUN
ejpam-6381	1	50	,	,	PUNCT
ejpam-6381	1	51	rania	rania	PROPN
ejpam-6381	1	52	saadeh2	saadeh2	PROPN
ejpam-6381	1	53	,	,	PUNCT
ejpam-6381	1	54	dalal	dalal	PROPN
ejpam-6381	1	55	m.	m.	PROPN
ejpam-6381	1	56	almutairi3	almutairi3	PROPN
ejpam-6381	1	57	,	,	PUNCT
ejpam-6381	1	58	mohammed	mohammed	PROPN
ejpam-6381	1	59	e.	e.	PROPN
ejpam-6381	1	60	dafaalla4	dafaalla4	PROPN
ejpam-6381	1	61	,	,	PUNCT
ejpam-6381	1	62	mohammed	mohammed	PROPN
ejpam-6381	1	63	berir5	berir5	PROPN
ejpam-6381	1	64	,	,	PUNCT
ejpam-6381	1	65	mohamed	mohamed	PROPN
ejpam-6381	1	66	a.	a.	PROPN
ejpam-6381	1	67	abdoon5	abdoon5	PROPN
ejpam-6381	1	68	1	1	NUM
ejpam-6381	1	69	department	department	NOUN
ejpam-6381	1	70	of	of	ADP
ejpam-6381	1	71	mathematics	mathematic	NOUN
ejpam-6381	1	72	,	,	PUNCT
ejpam-6381	1	73	university	university	NOUN
ejpam-6381	1	74	of	of	ADP
ejpam-6381	1	75	oran	oran	ADJ
ejpam-6381	1	76	1	1	NUM
ejpam-6381	1	77	ahmed	ahmed	PROPN
ejpam-6381	1	78	ben	ben	PROPN
ejpam-6381	1	79	bella	bella	PROPN
ejpam-6381	1	80	,	,	PUNCT
ejpam-6381	1	81	oran	oran	ADJ
ejpam-6381	1	82	31000	31000	NUM
ejpam-6381	1	83	,	,	PUNCT
ejpam-6381	1	84	algeria	algeria	PROPN
ejpam-6381	1	85	2	2	NUM
ejpam-6381	1	86	department	department	NOUN
ejpam-6381	1	87	of	of	ADP
ejpam-6381	1	88	mathematics	mathematic	NOUN
ejpam-6381	1	89	,	,	PUNCT
ejpam-6381	1	90	zarqa	zarqa	PROPN
ejpam-6381	1	91	university	university	PROPN
ejpam-6381	1	92	,	,	PUNCT
ejpam-6381	1	93	zarqa	zarqa	PROPN
ejpam-6381	1	94	13110	13110	NUM
ejpam-6381	1	95	,	,	PUNCT
ejpam-6381	1	96	jordan	jordan	PROPN
ejpam-6381	1	97	3	3	NUM
ejpam-6381	1	98	department	department	PROPN
ejpam-6381	1	99	of	of	ADP
ejpam-6381	1	100	mathematics	mathematics	PROPN
ejpam-6381	1	101	,	,	PUNCT
ejpam-6381	1	102	college	college	NOUN
ejpam-6381	1	103	of	of	ADP
ejpam-6381	1	104	science	science	NOUN
ejpam-6381	1	105	and	and	CCONJ
ejpam-6381	1	106	humanities	humanity	NOUN
ejpam-6381	1	107	,	,	PUNCT
ejpam-6381	1	108	shaqra	shaqra	PROPN
ejpam-6381	1	109	university	university	PROPN
ejpam-6381	1	110	,	,	PUNCT
ejpam-6381	1	111	al	al	PROPN
ejpam-6381	1	112	-	-	PUNCT
ejpam-6381	1	113	dawadmi	dawadmi	PROPN
ejpam-6381	1	114	17472	17472	NUM
ejpam-6381	1	115	,	,	PUNCT
ejpam-6381	1	116	saudi	saudi	PROPN
ejpam-6381	1	117	arabia	arabia	PROPN
ejpam-6381	1	118	4	4	NUM
ejpam-6381	1	119	department	department	NOUN
ejpam-6381	1	120	of	of	ADP
ejpam-6381	1	121	mathematics	mathematic	NOUN
ejpam-6381	1	122	,	,	PUNCT
ejpam-6381	1	123	college	college	NOUN
ejpam-6381	1	124	of	of	ADP
ejpam-6381	1	125	science	science	NOUN
ejpam-6381	1	126	,	,	PUNCT
ejpam-6381	1	127	qassim	qassim	PROPN
ejpam-6381	1	128	university	university	PROPN
ejpam-6381	1	129	,	,	PUNCT
ejpam-6381	1	130	buraidah	buraidah	NOUN
ejpam-6381	1	131	51452	51452	NUM
ejpam-6381	1	132	,	,	PUNCT
ejpam-6381	1	133	saudi	saudi	PROPN
ejpam-6381	1	134	arabia	arabia	PROPN
ejpam-6381	1	135	5	5	NUM
ejpam-6381	1	136	department	department	NOUN
ejpam-6381	1	137	of	of	ADP
ejpam-6381	1	138	mathematics	mathematic	NOUN
ejpam-6381	1	139	,	,	PUNCT
ejpam-6381	1	140	faculty	faculty	NOUN
ejpam-6381	1	141	of	of	ADP
ejpam-6381	1	142	science	science	NOUN
ejpam-6381	1	143	,	,	PUNCT
ejpam-6381	1	144	bakht	bakht	PROPN
ejpam-6381	1	145	al	al	PROPN
ejpam-6381	1	146	-	-	PUNCT
ejpam-6381	1	147	ruda	ruda	PROPN
ejpam-6381	1	148	university	university	PROPN
ejpam-6381	1	149	,	,	PUNCT
ejpam-6381	1	150	duwaym	duwaym	NOUN
ejpam-6381	1	151	28812	28812	NUM
ejpam-6381	1	152	,	,	PUNCT
ejpam-6381	1	153	sudan	sudan	PROPN
ejpam-6381	1	154	abstract	abstract	NOUN
ejpam-6381	1	155	.	.	PUNCT
ejpam-6381	2	1	this	this	DET
ejpam-6381	2	2	work	work	NOUN
ejpam-6381	2	3	applies	apply	VERB
ejpam-6381	2	4	two	two	NUM
ejpam-6381	2	5	efficient	efficient	ADJ
ejpam-6381	2	6	techniques	technique	NOUN
ejpam-6381	2	7	to	to	PART
ejpam-6381	2	8	investigate	investigate	VERB
ejpam-6381	2	9	fractional	fractional	ADJ
ejpam-6381	2	10	-	-	PUNCT
ejpam-6381	2	11	order	order	NOUN
ejpam-6381	2	12	systems	system	NOUN
ejpam-6381	2	13	:	:	PUNCT
ejpam-6381	2	14	the	the	DET
ejpam-6381	2	15	residual	residual	ADJ
ejpam-6381	2	16	power	power	NOUN
ejpam-6381	2	17	series	series	NOUN
ejpam-6381	2	18	method	method	NOUN
ejpam-6381	2	19	(	(	PUNCT
ejpam-6381	2	20	rpsm	rpsm	PROPN
ejpam-6381	2	21	)	)	PUNCT
ejpam-6381	2	22	and	and	CCONJ
ejpam-6381	2	23	the	the	DET
ejpam-6381	2	24	caputo	caputo	PROPN
ejpam-6381	2	25	fractional	fractional	PROPN
ejpam-6381	2	26	derivative	derivative	PROPN
ejpam-6381	2	27	(	(	PUNCT
ejpam-6381	2	28	cfd	cfd	NOUN
ejpam-6381	2	29	)	)	PUNCT
ejpam-6381	2	30	.	.	PUNCT
ejpam-6381	3	1	both	both	PRON
ejpam-6381	3	2	are	be	AUX
ejpam-6381	3	3	utilized	utilize	VERB
ejpam-6381	3	4	,	,	PUNCT
ejpam-6381	3	5	especially	especially	ADV
ejpam-6381	3	6	to	to	PART
ejpam-6381	3	7	evaluate	evaluate	VERB
ejpam-6381	3	8	chaotic	chaotic	ADJ
ejpam-6381	3	9	behavior	behavior	NOUN
ejpam-6381	3	10	and	and	CCONJ
ejpam-6381	3	11	investigate	investigate	VERB
ejpam-6381	3	12	the	the	DET
ejpam-6381	3	13	complex	complex	ADJ
ejpam-6381	3	14	dynamics	dynamic	NOUN
ejpam-6381	3	15	associated	associate	VERB
ejpam-6381	3	16	with	with	ADP
ejpam-6381	3	17	a	a	DET
ejpam-6381	3	18	four	four	NUM
ejpam-6381	3	19	-	-	PUNCT
ejpam-6381	3	20	dimensional	dimensional	ADJ
ejpam-6381	3	21	fractional	fractional	ADJ
ejpam-6381	3	22	-	-	PUNCT
ejpam-6381	3	23	order	order	NOUN
ejpam-6381	3	24	chaotic	chaotic	ADJ
ejpam-6381	3	25	system	system	NOUN
ejpam-6381	3	26	.	.	PUNCT
ejpam-6381	4	1	reliable	reliable	ADJ
ejpam-6381	4	2	and	and	CCONJ
ejpam-6381	4	3	efficient	efficient	ADJ
ejpam-6381	4	4	numerical	numerical	ADJ
ejpam-6381	4	5	simulations	simulation	NOUN
ejpam-6381	4	6	with	with	ADP
ejpam-6381	4	7	the	the	DET
ejpam-6381	4	8	complexity	complexity	NOUN
ejpam-6381	4	9	of	of	ADP
ejpam-6381	4	10	chaotic	chaotic	ADJ
ejpam-6381	4	11	behavior	behavior	NOUN
ejpam-6381	4	12	are	be	AUX
ejpam-6381	4	13	obtained	obtain	VERB
ejpam-6381	4	14	using	use	VERB
ejpam-6381	4	15	the	the	DET
ejpam-6381	4	16	cfd	cfd	NOUN
ejpam-6381	4	17	approach	approach	NOUN
ejpam-6381	4	18	.	.	PUNCT
ejpam-6381	5	1	furthermore	furthermore	ADV
ejpam-6381	5	2	,	,	PUNCT
ejpam-6381	5	3	derived	derive	VERB
ejpam-6381	5	4	analytical	analytical	ADJ
ejpam-6381	5	5	solutions	solution	NOUN
ejpam-6381	5	6	of	of	ADP
ejpam-6381	5	7	the	the	DET
ejpam-6381	5	8	fractional	fractional	ADJ
ejpam-6381	5	9	-	-	PUNCT
ejpam-6381	5	10	order	order	NOUN
ejpam-6381	5	11	4d	4d	NUM
ejpam-6381	5	12	system	system	NOUN
ejpam-6381	5	13	using	use	VERB
ejpam-6381	5	14	the	the	DET
ejpam-6381	5	15	rpsm	rpsm	NOUN
ejpam-6381	5	16	are	be	AUX
ejpam-6381	5	17	obtained	obtain	VERB
ejpam-6381	5	18	.	.	PUNCT
ejpam-6381	6	1	this	this	DET
ejpam-6381	6	2	approach	approach	NOUN
ejpam-6381	6	3	is	be	AUX
ejpam-6381	6	4	highly	highly	ADV
ejpam-6381	6	5	preferred	preferred	ADJ
ejpam-6381	6	6	as	as	SCONJ
ejpam-6381	6	7	it	it	PRON
ejpam-6381	6	8	can	can	AUX
ejpam-6381	6	9	handle	handle	VERB
ejpam-6381	6	10	several	several	ADJ
ejpam-6381	6	11	beginning	beginning	ADJ
ejpam-6381	6	12	conditions	condition	NOUN
ejpam-6381	6	13	,	,	PUNCT
ejpam-6381	6	14	is	be	AUX
ejpam-6381	6	15	computationally	computationally	ADV
ejpam-6381	6	16	efficient	efficient	ADJ
ejpam-6381	6	17	,	,	PUNCT
ejpam-6381	6	18	and	and	CCONJ
ejpam-6381	6	19	is	be	AUX
ejpam-6381	6	20	numerically	numerically	ADV
ejpam-6381	6	21	stable	stable	ADJ
ejpam-6381	6	22	,	,	PUNCT
ejpam-6381	6	23	hence	hence	ADV
ejpam-6381	6	24	producing	produce	VERB
ejpam-6381	6	25	rather	rather	ADV
ejpam-6381	6	26	precise	precise	ADJ
ejpam-6381	6	27	results	result	NOUN
ejpam-6381	6	28	.	.	PUNCT
ejpam-6381	7	1	combining	combine	VERB
ejpam-6381	7	2	rpsm	rpsm	PROPN
ejpam-6381	7	3	’s	’s	PART
ejpam-6381	7	4	analytical	analytical	ADJ
ejpam-6381	7	5	capacity	capacity	NOUN
ejpam-6381	7	6	with	with	ADP
ejpam-6381	7	7	cfd	cfd	NOUN
ejpam-6381	7	8	’s	’s	PART
ejpam-6381	7	9	strong	strong	ADJ
ejpam-6381	7	10	numerical	numerical	ADJ
ejpam-6381	7	11	accuracy	accuracy	NOUN
ejpam-6381	7	12	offers	offer	VERB
ejpam-6381	7	13	a	a	DET
ejpam-6381	7	14	comprehensive	comprehensive	ADJ
ejpam-6381	7	15	understanding	understanding	NOUN
ejpam-6381	7	16	of	of	ADP
ejpam-6381	7	17	the	the	DET
ejpam-6381	7	18	system	system	NOUN
ejpam-6381	7	19	dynamics	dynamic	NOUN
ejpam-6381	7	20	.	.	PUNCT
ejpam-6381	8	1	although	although	SCONJ
ejpam-6381	8	2	rpsm	rpsm	PROPN
ejpam-6381	8	3	is	be	AUX
ejpam-6381	8	4	best	good	ADJ
ejpam-6381	8	5	for	for	ADP
ejpam-6381	8	6	stability	stability	NOUN
ejpam-6381	8	7	and	and	CCONJ
ejpam-6381	8	8	simplicity	simplicity	NOUN
ejpam-6381	8	9	of	of	ADP
ejpam-6381	8	10	use	use	NOUN
ejpam-6381	8	11	,	,	PUNCT
ejpam-6381	8	12	the	the	DET
ejpam-6381	8	13	cfd	cfd	NOUN
ejpam-6381	8	14	technique	technique	NOUN
ejpam-6381	8	15	is	be	AUX
ejpam-6381	8	16	especially	especially	ADV
ejpam-6381	8	17	helpful	helpful	ADJ
ejpam-6381	8	18	because	because	SCONJ
ejpam-6381	8	19	of	of	ADP
ejpam-6381	8	20	its	its	PRON
ejpam-6381	8	21	great	great	ADJ
ejpam-6381	8	22	accuracy	accuracy	NOUN
ejpam-6381	8	23	in	in	ADP
ejpam-6381	8	24	predicting	predict	VERB
ejpam-6381	8	25	chaotic	chaotic	ADJ
ejpam-6381	8	26	behavior	behavior	NOUN
ejpam-6381	8	27	.	.	PUNCT
ejpam-6381	9	1	the	the	DET
ejpam-6381	9	2	suggested	suggest	VERB
ejpam-6381	9	3	methods	method	NOUN
ejpam-6381	9	4	precisely	precisely	ADV
ejpam-6381	9	5	define	define	VERB
ejpam-6381	9	6	their	their	PRON
ejpam-6381	9	7	dynamics	dynamic	NOUN
ejpam-6381	9	8	,	,	PUNCT
ejpam-6381	9	9	provide	provide	VERB
ejpam-6381	9	10	exact	exact	ADJ
ejpam-6381	9	11	solutions	solution	NOUN
ejpam-6381	9	12	,	,	PUNCT
ejpam-6381	9	13	and	and	CCONJ
ejpam-6381	9	14	clearly	clearly	ADV
ejpam-6381	9	15	identify	identify	VERB
ejpam-6381	9	16	chaotic	chaotic	ADJ
ejpam-6381	9	17	attractors	attractor	NOUN
ejpam-6381	9	18	.	.	PUNCT
ejpam-6381	10	1	for	for	ADP
ejpam-6381	10	2	instance	instance	NOUN
ejpam-6381	10	3	,	,	PUNCT
ejpam-6381	10	4	representative	representative	ADJ
ejpam-6381	10	5	parameter	parameter	NOUN
ejpam-6381	10	6	values	value	NOUN
ejpam-6381	10	7	used	use	VERB
ejpam-6381	10	8	in	in	ADP
ejpam-6381	10	9	our	our	PRON
ejpam-6381	10	10	analysis	analysis	NOUN
ejpam-6381	10	11	are	be	AUX
ejpam-6381	10	12	(	(	PUNCT
ejpam-6381	10	13	ν	ν	X
ejpam-6381	10	14	=	=	SYM
ejpam-6381	10	15	0.95	0.95	NUM
ejpam-6381	10	16	,	,	PUNCT
ejpam-6381	10	17	0.99	0.99	NUM
ejpam-6381	10	18	,	,	PUNCT
ejpam-6381	10	19	1	1	NUM
ejpam-6381	10	20	)	)	PUNCT
ejpam-6381	10	21	.	.	PUNCT
ejpam-6381	11	1	these	these	DET
ejpam-6381	11	2	results	result	NOUN
ejpam-6381	11	3	show	show	VERB
ejpam-6381	11	4	how	how	SCONJ
ejpam-6381	11	5	well	well	ADV
ejpam-6381	11	6	cfdand	cfdand	AUX
ejpam-6381	11	7	rpsm	rpsm	NOUN
ejpam-6381	11	8	-	-	PUNCT
ejpam-6381	11	9	based	base	VERB
ejpam-6381	11	10	methods	method	NOUN
ejpam-6381	11	11	represent	represent	VERB
ejpam-6381	11	12	and	and	CCONJ
ejpam-6381	11	13	solve	solve	VERB
ejpam-6381	11	14	challenging	challenging	ADJ
ejpam-6381	11	15	problems	problem	NOUN
ejpam-6381	11	16	in	in	ADP
ejpam-6381	11	17	engineering	engineering	NOUN
ejpam-6381	11	18	and	and	CCONJ
ejpam-6381	11	19	scientific	scientific	ADJ
ejpam-6381	11	20	research	research	NOUN
ejpam-6381	11	21	.	.	PUNCT
ejpam-6381	12	1	2020	2020	NUM
ejpam-6381	12	2	mathematics	mathematic	NOUN
ejpam-6381	12	3	subject	subject	NOUN
ejpam-6381	12	4	classifications	classification	NOUN
ejpam-6381	12	5	:	:	PUNCT
ejpam-6381	12	6	26a33,34h10	26a33,34h10	NUM
ejpam-6381	12	7	,	,	PUNCT
ejpam-6381	12	8	37m05	37m05	NUM
ejpam-6381	12	9	key	key	ADJ
ejpam-6381	12	10	words	word	NOUN
ejpam-6381	12	11	and	and	CCONJ
ejpam-6381	12	12	phrases	phrase	NOUN
ejpam-6381	12	13	:	:	PUNCT
ejpam-6381	12	14	fractional	fractional	ADJ
ejpam-6381	12	15	derivatives	derivative	NOUN
ejpam-6381	12	16	,	,	PUNCT
ejpam-6381	12	17	caputo	caputo	PROPN
ejpam-6381	12	18	fractional	fractional	PROPN
ejpam-6381	12	19	derivative	derivative	ADJ
ejpam-6381	12	20	,	,	PUNCT
ejpam-6381	12	21	residual	residual	ADJ
ejpam-6381	12	22	power	power	NOUN
ejpam-6381	12	23	series	series	PROPN
ejpam-6381	12	24	method	method	NOUN
ejpam-6381	12	25	,	,	PUNCT
ejpam-6381	12	26	chaos	chaos	NOUN
ejpam-6381	12	27	,	,	PUNCT
ejpam-6381	12	28	simulation	simulation	NOUN
ejpam-6381	12	29	∗corresponding	∗corresponde	VERB
ejpam-6381	12	30	author	author	NOUN
ejpam-6381	12	31	.	.	PUNCT
ejpam-6381	13	1	doi	doi	NOUN
ejpam-6381	13	2	:	:	PUNCT
ejpam-6381	13	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6381	https://doi.org/10.29020/nybg.ejpam.v18i3.6381	PRON
ejpam-6381	13	4	email	email	NOUN
ejpam-6381	13	5	addresses	address	NOUN
ejpam-6381	13	6	:	:	PUNCT
ejpam-6381	13	7	kadri.ilhem@univ-oran1.dz	kadri.ilhem@univ-oran1.dz	PROPN
ejpam-6381	13	8	(	(	PUNCT
ejpam-6381	13	9	i.	i.	PROPN
ejpam-6381	13	10	kadri	kadri	PROPN
ejpam-6381	13	11	)	)	PUNCT
ejpam-6381	13	12	,	,	PUNCT
ejpam-6381	14	1	rsaadeh@zu.edu.jo	rsaadeh@zu.edu.jo	ADV
ejpam-6381	14	2	(	(	PUNCT
ejpam-6381	14	3	r.	r.	PROPN
ejpam-6381	14	4	saadeh	saadeh	PROPN
ejpam-6381	14	5	)	)	PUNCT
ejpam-6381	14	6	,	,	PUNCT
ejpam-6381	14	7	dalmteri@su.edu.sa	dalmteri@su.edu.sa	PROPN
ejpam-6381	14	8	(	(	PUNCT
ejpam-6381	14	9	d.	d.	PROPN
ejpam-6381	14	10	m.	m.	PROPN
ejpam-6381	14	11	almutairi	almutairi	PROPN
ejpam-6381	14	12	)	)	PUNCT
ejpam-6381	14	13	,	,	PUNCT
ejpam-6381	14	14	m.dafaalla@qu.edu.sa	m.dafaalla@qu.edu.sa	PROPN
ejpam-6381	14	15	(	(	PUNCT
ejpam-6381	14	16	m.	m.	PROPN
ejpam-6381	14	17	e.	e.	PROPN
ejpam-6381	14	18	dafaalla	dafaalla	PROPN
ejpam-6381	14	19	)	)	PUNCT
ejpam-6381	14	20	,	,	PUNCT
ejpam-6381	14	21	midriss@bu.edu.sa	midriss@bu.edu.sa	PROPN
ejpam-6381	14	22	(	(	PUNCT
ejpam-6381	14	23	m.	m.	NOUN
ejpam-6381	14	24	berir	berir	NOUN
ejpam-6381	14	25	)	)	PUNCT
ejpam-6381	14	26	,	,	PUNCT
ejpam-6381	14	27	mabdoon.c@ksu.edu.sa	mabdoon.c@ksu.edu.sa	PROPN
ejpam-6381	14	28	(	(	PUNCT
ejpam-6381	14	29	m.	m.	NOUN
ejpam-6381	14	30	a.	a.	PROPN
ejpam-6381	14	31	abdoon	abdoon	PROPN
ejpam-6381	14	32	)	)	PUNCT
ejpam-6381	14	33	,	,	PUNCT
ejpam-6381	14	34	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6381	14	35	1	1	NUM
ejpam-6381	14	36	copyright	copyright	NOUN
ejpam-6381	14	37	:	:	PUNCT
ejpam-6381	14	38	©	©	PROPN
ejpam-6381	14	39	2025	2025	NUM
ejpam-6381	14	40	the	the	DET
ejpam-6381	14	41	author(s	author(s	NOUN
ejpam-6381	14	42	)	)	PUNCT
ejpam-6381	14	43	.	.	PUNCT
ejpam-6381	15	1	(	(	PUNCT
ejpam-6381	15	2	cc	cc	NOUN
ejpam-6381	15	3	by	by	ADP
ejpam-6381	15	4	-	-	PUNCT
ejpam-6381	15	5	nc	nc	PROPN
ejpam-6381	15	6	4.0	4.0	NUM
ejpam-6381	15	7	)	)	PUNCT
ejpam-6381	15	8	i.kadri	i.kadri	PROPN
ejpam-6381	15	9	et	et	PROPN
ejpam-6381	15	10	al	al	PROPN
ejpam-6381	15	11	.	.	PUNCT
ejpam-6381	15	12	/	/	SYM
ejpam-6381	15	13	eur	eur	PROPN
ejpam-6381	15	14	.	.	PUNCT
ejpam-6381	16	1	j.	j.	PROPN
ejpam-6381	16	2	pure	pure	PROPN
ejpam-6381	16	3	appl	appl	PROPN
ejpam-6381	16	4	.	.	PROPN
ejpam-6381	16	5	math	math	PROPN
ejpam-6381	16	6	,	,	PUNCT
ejpam-6381	16	7	18	18	NUM
ejpam-6381	16	8	(	(	PUNCT
ejpam-6381	16	9	3	3	NUM
ejpam-6381	16	10	)	)	PUNCT
ejpam-6381	16	11	(	(	PUNCT
ejpam-6381	16	12	2025	2025	NUM
ejpam-6381	16	13	)	)	PUNCT
ejpam-6381	16	14	,	,	PUNCT
ejpam-6381	16	15	6381	6381	NUM
ejpam-6381	16	16	2	2	NUM
ejpam-6381	16	17	of	of	ADP
ejpam-6381	16	18	19	19	NUM
ejpam-6381	16	19	1	1	NUM
ejpam-6381	16	20	.	.	PUNCT
ejpam-6381	16	21	introduction	introduction	NOUN
ejpam-6381	16	22	in	in	ADP
ejpam-6381	16	23	recent	recent	ADJ
ejpam-6381	16	24	decades	decade	NOUN
ejpam-6381	16	25	,	,	PUNCT
ejpam-6381	16	26	fractional	fractional	ADJ
ejpam-6381	16	27	calculus	calculus	NOUN
ejpam-6381	16	28	has	have	AUX
ejpam-6381	16	29	been	be	AUX
ejpam-6381	16	30	an	an	DET
ejpam-6381	16	31	excellent	excellent	ADJ
ejpam-6381	16	32	generalization	generalization	NOUN
ejpam-6381	16	33	of	of	ADP
ejpam-6381	16	34	traditional	traditional	ADJ
ejpam-6381	16	35	integer	integer	NOUN
ejpam-6381	16	36	-	-	PUNCT
ejpam-6381	16	37	order	order	NOUN
ejpam-6381	16	38	differentiation	differentiation	NOUN
ejpam-6381	16	39	and	and	CCONJ
ejpam-6381	16	40	integration	integration	NOUN
ejpam-6381	16	41	and	and	CCONJ
ejpam-6381	16	42	has	have	AUX
ejpam-6381	16	43	been	be	AUX
ejpam-6381	16	44	shown	show	VERB
ejpam-6381	16	45	to	to	PART
ejpam-6381	16	46	be	be	AUX
ejpam-6381	16	47	a	a	DET
ejpam-6381	16	48	more	more	ADV
ejpam-6381	16	49	realistic	realistic	ADJ
ejpam-6381	16	50	description	description	NOUN
ejpam-6381	16	51	of	of	ADP
ejpam-6381	16	52	advanced	advanced	ADJ
ejpam-6381	16	53	dynamic	dynamic	ADJ
ejpam-6381	16	54	phenomena	phenomenon	NOUN
ejpam-6381	16	55	than	than	ADP
ejpam-6381	16	56	other	other	ADJ
ejpam-6381	16	57	traditional	traditional	ADJ
ejpam-6381	16	58	descriptions	description	NOUN
ejpam-6381	17	1	[	[	X
ejpam-6381	17	2	1–6	1–6	X
ejpam-6381	17	3	]	]	X
ejpam-6381	17	4	.	.	PUNCT
ejpam-6381	18	1	it	it	PRON
ejpam-6381	18	2	is	be	AUX
ejpam-6381	18	3	an	an	DET
ejpam-6381	18	4	extremely	extremely	ADV
ejpam-6381	18	5	flexible	flexible	ADJ
ejpam-6381	18	6	and	and	CCONJ
ejpam-6381	18	7	realistic	realistic	ADJ
ejpam-6381	18	8	mathematical	mathematical	ADJ
ejpam-6381	18	9	tool	tool	NOUN
ejpam-6381	18	10	for	for	ADP
ejpam-6381	18	11	the	the	DET
ejpam-6381	18	12	representation	representation	NOUN
ejpam-6381	18	13	of	of	ADP
ejpam-6381	18	14	many	many	ADJ
ejpam-6381	18	15	physical	physical	ADJ
ejpam-6381	18	16	,	,	PUNCT
ejpam-6381	18	17	biological	biological	ADJ
ejpam-6381	18	18	,	,	PUNCT
ejpam-6381	18	19	and	and	CCONJ
ejpam-6381	18	20	engineering	engineering	NOUN
ejpam-6381	18	21	phenomena	phenomenon	NOUN
ejpam-6381	19	1	[	[	X
ejpam-6381	19	2	7–10	7–10	X
ejpam-6381	19	3	]	]	X
ejpam-6381	19	4	.	.	PUNCT
ejpam-6381	20	1	its	its	PRON
ejpam-6381	20	2	performance	performance	NOUN
ejpam-6381	20	3	is	be	AUX
ejpam-6381	20	4	stronger	strong	ADJ
ejpam-6381	20	5	in	in	ADP
ejpam-6381	20	6	long	long	ADJ
ejpam-6381	20	7	-	-	PUNCT
ejpam-6381	20	8	term	term	NOUN
ejpam-6381	20	9	memory	memory	NOUN
ejpam-6381	20	10	and	and	CCONJ
ejpam-6381	20	11	dependency	dependency	NOUN
ejpam-6381	20	12	systems	system	NOUN
ejpam-6381	20	13	,	,	PUNCT
ejpam-6381	20	14	where	where	SCONJ
ejpam-6381	20	15	traditional	traditional	ADJ
ejpam-6381	20	16	processes	process	NOUN
ejpam-6381	20	17	fail	fail	VERB
ejpam-6381	20	18	[	[	X
ejpam-6381	20	19	11–14	11–14	NUM
ejpam-6381	20	20	]	]	PUNCT
ejpam-6381	20	21	.	.	PUNCT
ejpam-6381	21	1	various	various	ADJ
ejpam-6381	21	2	definitions	definition	NOUN
ejpam-6381	21	3	of	of	ADP
ejpam-6381	21	4	fractional	fractional	ADJ
ejpam-6381	21	5	derivatives	derivative	NOUN
ejpam-6381	21	6	exist	exist	VERB
ejpam-6381	21	7	,	,	PUNCT
ejpam-6381	21	8	such	such	ADJ
ejpam-6381	21	9	as	as	ADP
ejpam-6381	21	10	those	those	PRON
ejpam-6381	21	11	proposed	propose	VERB
ejpam-6381	21	12	by	by	ADP
ejpam-6381	21	13	riemannliouville	riemannliouville	PROPN
ejpam-6381	21	14	,	,	PUNCT
ejpam-6381	21	15	caputo	caputo	PROPN
ejpam-6381	21	16	,	,	PUNCT
ejpam-6381	21	17	caputo	caputo	PROPN
ejpam-6381	21	18	-	-	PUNCT
ejpam-6381	21	19	fabrizio	fabrizio	PROPN
ejpam-6381	21	20	,	,	PUNCT
ejpam-6381	21	21	and	and	CCONJ
ejpam-6381	21	22	atangana	atangana	PROPN
ejpam-6381	21	23	-	-	PUNCT
ejpam-6381	21	24	baleanu	baleanu	NOUN
ejpam-6381	21	25	,	,	PUNCT
ejpam-6381	21	26	which	which	PRON
ejpam-6381	21	27	offer	offer	VERB
ejpam-6381	21	28	different	different	ADJ
ejpam-6381	21	29	benefits	benefit	NOUN
ejpam-6381	21	30	regarding	regard	VERB
ejpam-6381	21	31	mathematical	mathematical	ADJ
ejpam-6381	21	32	precision	precision	NOUN
ejpam-6381	21	33	,	,	PUNCT
ejpam-6381	21	34	ease	ease	NOUN
ejpam-6381	21	35	of	of	ADP
ejpam-6381	21	36	calculation	calculation	NOUN
ejpam-6381	21	37	,	,	PUNCT
ejpam-6381	21	38	and	and	CCONJ
ejpam-6381	21	39	applicability	applicability	NOUN
ejpam-6381	21	40	in	in	ADP
ejpam-6381	21	41	general	general	ADJ
ejpam-6381	21	42	to	to	ADP
ejpam-6381	21	43	many	many	ADJ
ejpam-6381	21	44	physical	physical	ADJ
ejpam-6381	21	45	systems	system	NOUN
ejpam-6381	21	46	[	[	X
ejpam-6381	21	47	15–18	15–18	NUM
ejpam-6381	21	48	]	]	X
ejpam-6381	21	49	.	.	PUNCT
ejpam-6381	22	1	the	the	DET
ejpam-6381	22	2	clever	clever	ADJ
ejpam-6381	22	3	command	command	NOUN
ejpam-6381	22	4	of	of	ADP
ejpam-6381	22	5	the	the	DET
ejpam-6381	22	6	aforementioned	aforementioned	ADJ
ejpam-6381	22	7	formulations	formulation	NOUN
ejpam-6381	22	8	is	be	AUX
ejpam-6381	22	9	the	the	DET
ejpam-6381	22	10	secret	secret	NOUN
ejpam-6381	22	11	to	to	ADP
ejpam-6381	22	12	their	their	PRON
ejpam-6381	22	13	use	use	NOUN
ejpam-6381	22	14	in	in	ADP
ejpam-6381	22	15	the	the	DET
ejpam-6381	22	16	fields	field	NOUN
ejpam-6381	22	17	of	of	ADP
ejpam-6381	22	18	physics	physics	NOUN
ejpam-6381	22	19	,	,	PUNCT
ejpam-6381	22	20	engineering	engineering	NOUN
ejpam-6381	22	21	,	,	PUNCT
ejpam-6381	22	22	and	and	CCONJ
ejpam-6381	22	23	biology	biology	NOUN
ejpam-6381	22	24	,	,	PUNCT
ejpam-6381	22	25	where	where	SCONJ
ejpam-6381	22	26	the	the	DET
ejpam-6381	22	27	incorporation	incorporation	NOUN
ejpam-6381	22	28	of	of	ADP
ejpam-6381	22	29	fractional	fractional	ADJ
ejpam-6381	22	30	calculus	calculus	NOUN
ejpam-6381	22	31	is	be	AUX
ejpam-6381	22	32	the	the	DET
ejpam-6381	22	33	underlying	underlie	VERB
ejpam-6381	22	34	addition	addition	NOUN
ejpam-6381	22	35	to	to	ADP
ejpam-6381	22	36	precision	precision	NOUN
ejpam-6381	22	37	and	and	CCONJ
ejpam-6381	22	38	analytical	analytical	ADJ
ejpam-6381	22	39	competence	competence	NOUN
ejpam-6381	22	40	[	[	X
ejpam-6381	22	41	19	19	NUM
ejpam-6381	22	42	–	–	PUNCT
ejpam-6381	22	43	21	21	NUM
ejpam-6381	22	44	]	]	PUNCT
ejpam-6381	22	45	.	.	PUNCT
ejpam-6381	23	1	as	as	SCONJ
ejpam-6381	23	2	classical	classical	ADJ
ejpam-6381	23	3	differentiation	differentiation	NOUN
ejpam-6381	23	4	finds	find	VERB
ejpam-6381	23	5	it	it	PRON
ejpam-6381	23	6	difficult	difficult	ADJ
ejpam-6381	23	7	to	to	PART
ejpam-6381	23	8	deal	deal	VERB
ejpam-6381	23	9	with	with	ADP
ejpam-6381	23	10	the	the	DET
ejpam-6381	23	11	irregular	irregular	ADJ
ejpam-6381	23	12	and	and	CCONJ
ejpam-6381	23	13	infinitely	infinitely	ADV
ejpam-6381	23	14	detailed	detailed	ADJ
ejpam-6381	23	15	characters	character	NOUN
ejpam-6381	23	16	of	of	ADP
ejpam-6381	23	17	fractals	fractal	NOUN
ejpam-6381	23	18	,	,	PUNCT
ejpam-6381	23	19	fractal	fractal	ADJ
ejpam-6381	23	20	derivatives	derivative	NOUN
ejpam-6381	23	21	provide	provide	VERB
ejpam-6381	23	22	a	a	DET
ejpam-6381	23	23	better	well	ADJ
ejpam-6381	23	24	mathematical	mathematical	ADJ
ejpam-6381	23	25	instrument	instrument	NOUN
ejpam-6381	23	26	to	to	PART
ejpam-6381	23	27	explain	explain	VERB
ejpam-6381	23	28	their	their	PRON
ejpam-6381	23	29	complicated	complicated	ADJ
ejpam-6381	23	30	structures	structure	NOUN
ejpam-6381	23	31	and	and	CCONJ
ejpam-6381	23	32	dynamic	dynamic	ADJ
ejpam-6381	23	33	behaviors	behavior	NOUN
ejpam-6381	23	34	.	.	PUNCT
ejpam-6381	24	1	the	the	DET
ejpam-6381	24	2	power	power	NOUN
ejpam-6381	24	3	of	of	ADP
ejpam-6381	24	4	fractional	fractional	ADJ
ejpam-6381	24	5	-	-	PUNCT
ejpam-6381	24	6	order	order	NOUN
ejpam-6381	24	7	systems	system	NOUN
ejpam-6381	24	8	to	to	PART
ejpam-6381	24	9	integrate	integrate	VERB
ejpam-6381	24	10	long	long	ADJ
ejpam-6381	24	11	-	-	PUNCT
ejpam-6381	24	12	term	term	NOUN
ejpam-6381	24	13	memory	memory	NOUN
ejpam-6381	24	14	and	and	CCONJ
ejpam-6381	24	15	spatial	spatial	ADJ
ejpam-6381	24	16	heterogeneity	heterogeneity	NOUN
ejpam-6381	24	17	into	into	ADP
ejpam-6381	24	18	mathematical	mathematical	ADJ
ejpam-6381	24	19	models	model	NOUN
ejpam-6381	24	20	makes	make	VERB
ejpam-6381	24	21	them	they	PRON
ejpam-6381	24	22	a	a	DET
ejpam-6381	24	23	crucial	crucial	ADJ
ejpam-6381	24	24	tool	tool	NOUN
ejpam-6381	24	25	for	for	ADP
ejpam-6381	24	26	studying	study	VERB
ejpam-6381	24	27	and	and	CCONJ
ejpam-6381	24	28	managing	manage	VERB
ejpam-6381	24	29	chaos	chaos	NOUN
ejpam-6381	24	30	.	.	PUNCT
ejpam-6381	25	1	this	this	PRON
ejpam-6381	25	2	is	be	AUX
ejpam-6381	25	3	especially	especially	ADV
ejpam-6381	25	4	crucial	crucial	ADJ
ejpam-6381	25	5	in	in	ADP
ejpam-6381	25	6	fields	field	NOUN
ejpam-6381	25	7	like	like	ADP
ejpam-6381	25	8	economics	economic	NOUN
ejpam-6381	25	9	,	,	PUNCT
ejpam-6381	25	10	biology	biology	NOUN
ejpam-6381	25	11	,	,	PUNCT
ejpam-6381	25	12	engineering	engineering	NOUN
ejpam-6381	25	13	,	,	PUNCT
ejpam-6381	25	14	and	and	CCONJ
ejpam-6381	25	15	physics	physics	NOUN
ejpam-6381	25	16	,	,	PUNCT
ejpam-6381	25	17	where	where	SCONJ
ejpam-6381	25	18	system	system	NOUN
ejpam-6381	25	19	behavior	behavior	NOUN
ejpam-6381	25	20	frequently	frequently	ADV
ejpam-6381	25	21	demonstrates	demonstrate	VERB
ejpam-6381	25	22	historical	historical	ADJ
ejpam-6381	25	23	dependence	dependence	NOUN
ejpam-6381	25	24	and	and	CCONJ
ejpam-6381	25	25	fractal	fractal	ADJ
ejpam-6381	25	26	features	feature	NOUN
ejpam-6381	25	27	.	.	PUNCT
ejpam-6381	26	1	fractional	fractional	ADJ
ejpam-6381	26	2	derivatives	derivative	NOUN
ejpam-6381	26	3	allow	allow	VERB
ejpam-6381	26	4	for	for	ADP
ejpam-6381	26	5	richer	rich	ADJ
ejpam-6381	26	6	dynamical	dynamical	ADJ
ejpam-6381	26	7	behavior	behavior	NOUN
ejpam-6381	26	8	,	,	PUNCT
ejpam-6381	26	9	such	such	ADJ
ejpam-6381	26	10	as	as	ADP
ejpam-6381	26	11	delayed	delay	VERB
ejpam-6381	26	12	reactions	reaction	NOUN
ejpam-6381	26	13	,	,	PUNCT
ejpam-6381	26	14	ongoing	ongoing	ADJ
ejpam-6381	26	15	correlations	correlation	NOUN
ejpam-6381	26	16	,	,	PUNCT
ejpam-6381	26	17	and	and	CCONJ
ejpam-6381	26	18	more	more	ADV
ejpam-6381	26	19	seamless	seamless	ADJ
ejpam-6381	26	20	transitions	transition	NOUN
ejpam-6381	26	21	between	between	ADP
ejpam-6381	26	22	periodic	periodic	ADJ
ejpam-6381	26	23	and	and	CCONJ
ejpam-6381	26	24	chaotic	chaotic	ADJ
ejpam-6381	26	25	regimes	regime	NOUN
ejpam-6381	26	26	,	,	PUNCT
ejpam-6381	26	27	by	by	ADP
ejpam-6381	26	28	permitting	permit	VERB
ejpam-6381	26	29	the	the	DET
ejpam-6381	26	30	order	order	NOUN
ejpam-6381	26	31	of	of	ADP
ejpam-6381	26	32	the	the	DET
ejpam-6381	26	33	system	system	NOUN
ejpam-6381	26	34	to	to	PART
ejpam-6381	26	35	be	be	AUX
ejpam-6381	26	36	either	either	CCONJ
ejpam-6381	26	37	constant	constant	ADJ
ejpam-6381	26	38	or	or	CCONJ
ejpam-6381	26	39	variable	variable	NOUN
ejpam-6381	26	40	.	.	PUNCT
ejpam-6381	27	1	therefore	therefore	ADV
ejpam-6381	27	2	,	,	PUNCT
ejpam-6381	27	3	a	a	DET
ejpam-6381	27	4	key	key	ADJ
ejpam-6381	27	5	component	component	NOUN
ejpam-6381	27	6	in	in	ADP
ejpam-6381	27	7	improving	improve	VERB
ejpam-6381	27	8	our	our	PRON
ejpam-6381	27	9	comprehension	comprehension	NOUN
ejpam-6381	27	10	of	of	ADP
ejpam-6381	27	11	complicated	complicated	ADJ
ejpam-6381	27	12	systems	system	NOUN
ejpam-6381	27	13	is	be	AUX
ejpam-6381	27	14	fractional	fractional	ADJ
ejpam-6381	27	15	calculus	calculus	NOUN
ejpam-6381	27	16	.	.	PUNCT
ejpam-6381	28	1	the	the	DET
ejpam-6381	28	2	caputo	caputo	PROPN
ejpam-6381	28	3	derivative	derivative	PROPN
ejpam-6381	28	4	offers	offer	VERB
ejpam-6381	28	5	a	a	DET
ejpam-6381	28	6	realistic	realistic	ADJ
ejpam-6381	28	7	representation	representation	NOUN
ejpam-6381	28	8	of	of	ADP
ejpam-6381	28	9	physical	physical	ADJ
ejpam-6381	28	10	systems	system	NOUN
ejpam-6381	28	11	with	with	ADP
ejpam-6381	28	12	memory	memory	NOUN
ejpam-6381	28	13	effects	effect	NOUN
ejpam-6381	28	14	and	and	CCONJ
ejpam-6381	28	15	is	be	AUX
ejpam-6381	28	16	therefore	therefore	ADV
ejpam-6381	28	17	particularly	particularly	ADV
ejpam-6381	28	18	well	well	ADV
ejpam-6381	28	19	-	-	PUNCT
ejpam-6381	28	20	adapted	adapt	VERB
ejpam-6381	28	21	to	to	PART
ejpam-6381	28	22	represent	represent	VERB
ejpam-6381	28	23	real	real	ADJ
ejpam-6381	28	24	-	-	PUNCT
ejpam-6381	28	25	world	world	NOUN
ejpam-6381	28	26	dynamics	dynamic	NOUN
ejpam-6381	28	27	.	.	PUNCT
ejpam-6381	29	1	its	its	PRON
ejpam-6381	29	2	non	non	ADJ
ejpam-6381	29	3	-	-	ADJ
ejpam-6381	29	4	singular	singular	ADJ
ejpam-6381	29	5	kernel	kernel	NOUN
ejpam-6381	29	6	can	can	AUX
ejpam-6381	29	7	simulate	simulate	VERB
ejpam-6381	29	8	processes	process	NOUN
ejpam-6381	29	9	with	with	ADP
ejpam-6381	29	10	exponential	exponential	ADJ
ejpam-6381	29	11	decay	decay	NOUN
ejpam-6381	29	12	behavior	behavior	NOUN
ejpam-6381	29	13	efficiently	efficiently	ADV
ejpam-6381	29	14	.	.	PUNCT
ejpam-6381	30	1	the	the	DET
ejpam-6381	30	2	caputo	caputo	PROPN
ejpam-6381	30	3	-	-	PUNCT
ejpam-6381	30	4	fabrizio	fabrizio	PROPN
ejpam-6381	30	5	derivative	derivative	NOUN
ejpam-6381	30	6	is	be	AUX
ejpam-6381	30	7	renowned	renowne	VERB
ejpam-6381	30	8	for	for	ADP
ejpam-6381	30	9	addressing	address	VERB
ejpam-6381	30	10	nonlinear	nonlinear	ADJ
ejpam-6381	30	11	differential	differential	ADJ
ejpam-6381	30	12	equations	equation	NOUN
ejpam-6381	30	13	efficiently	efficiently	ADV
ejpam-6381	30	14	,	,	PUNCT
ejpam-6381	30	15	reducing	reduce	VERB
ejpam-6381	30	16	the	the	DET
ejpam-6381	30	17	computational	computational	ADJ
ejpam-6381	30	18	complexity	complexity	NOUN
ejpam-6381	30	19	and	and	CCONJ
ejpam-6381	30	20	the	the	DET
ejpam-6381	30	21	time	time	NOUN
ejpam-6381	30	22	taken	take	VERB
ejpam-6381	30	23	to	to	PART
ejpam-6381	30	24	find	find	VERB
ejpam-6381	30	25	the	the	DET
ejpam-6381	30	26	solution	solution	NOUN
ejpam-6381	30	27	at	at	ADP
ejpam-6381	30	28	times	time	NOUN
ejpam-6381	30	29	.	.	PUNCT
ejpam-6381	31	1	its	its	PRON
ejpam-6381	31	2	solid	solid	ADJ
ejpam-6381	31	3	theoretical	theoretical	ADJ
ejpam-6381	31	4	foundation	foundation	NOUN
ejpam-6381	31	5	and	and	CCONJ
ejpam-6381	31	6	applicability	applicability	NOUN
ejpam-6381	31	7	are	be	AUX
ejpam-6381	31	8	the	the	DET
ejpam-6381	31	9	keys	key	NOUN
ejpam-6381	31	10	to	to	ADP
ejpam-6381	31	11	popularizing	popularize	VERB
ejpam-6381	31	12	positive	positive	ADJ
ejpam-6381	31	13	applications	application	NOUN
ejpam-6381	31	14	of	of	ADP
ejpam-6381	31	15	fractional	fractional	ADJ
ejpam-6381	31	16	calculus	calculus	NOUN
ejpam-6381	31	17	and	and	CCONJ
ejpam-6381	31	18	therefore	therefore	ADV
ejpam-6381	31	19	play	play	VERB
ejpam-6381	31	20	a	a	DET
ejpam-6381	31	21	more	more	ADV
ejpam-6381	31	22	important	important	ADJ
ejpam-6381	31	23	role	role	NOUN
ejpam-6381	31	24	in	in	ADP
ejpam-6381	31	25	an	an	DET
ejpam-6381	31	26	increasingly	increasingly	ADV
ejpam-6381	31	27	broad	broad	ADJ
ejpam-6381	31	28	area	area	NOUN
ejpam-6381	31	29	of	of	ADP
ejpam-6381	31	30	science	science	NOUN
ejpam-6381	31	31	and	and	CCONJ
ejpam-6381	31	32	engineering	engineering	NOUN
ejpam-6381	31	33	[	[	X
ejpam-6381	31	34	22–25	22–25	NUM
ejpam-6381	31	35	]	]	PUNCT
ejpam-6381	31	36	.	.	PUNCT
ejpam-6381	32	1	since	since	SCONJ
ejpam-6381	32	2	rossler	rossler	NOUN
ejpam-6381	32	3	has	have	AUX
ejpam-6381	32	4	been	be	AUX
ejpam-6381	32	5	trailblazing	trailblaze	VERB
ejpam-6381	32	6	on	on	ADP
ejpam-6381	32	7	hyperchaotic	hyperchaotic	ADJ
ejpam-6381	32	8	systems	system	NOUN
ejpam-6381	32	9	,	,	PUNCT
ejpam-6381	32	10	there	there	PRON
ejpam-6381	32	11	has	have	AUX
ejpam-6381	32	12	been	be	AUX
ejpam-6381	32	13	significant	significant	ADJ
ejpam-6381	32	14	advancement	advancement	NOUN
ejpam-6381	32	15	to	to	PART
ejpam-6381	32	16	identify	identify	VERB
ejpam-6381	32	17	multiple	multiple	ADJ
ejpam-6381	32	18	applications	application	NOUN
ejpam-6381	32	19	.	.	PUNCT
ejpam-6381	33	1	significance	significance	NOUN
ejpam-6381	33	2	includes	include	VERB
ejpam-6381	33	3	2d	2d	NUM
ejpam-6381	33	4	systems	system	NOUN
ejpam-6381	33	5	in	in	ADP
ejpam-6381	33	6	image	image	NOUN
ejpam-6381	33	7	encryption	encryption	NOUN
ejpam-6381	33	8	,	,	PUNCT
ejpam-6381	33	9	pseudo	pseudo	NOUN
ejpam-6381	33	10	-	-	ADJ
ejpam-6381	33	11	random	random	ADJ
ejpam-6381	33	12	number	number	NOUN
ejpam-6381	33	13	generation	generation	NOUN
ejpam-6381	33	14	,	,	PUNCT
ejpam-6381	33	15	and	and	CCONJ
ejpam-6381	33	16	secure	secure	VERB
ejpam-6381	33	17	communications	communication	NOUN
ejpam-6381	33	18	[	[	X
ejpam-6381	33	19	26	26	NUM
ejpam-6381	33	20	]	]	PUNCT
ejpam-6381	33	21	,	,	PUNCT
ejpam-6381	33	22	and	and	CCONJ
ejpam-6381	33	23	[	[	X
ejpam-6381	33	24	27	27	NUM
ejpam-6381	33	25	]	]	PUNCT
ejpam-6381	33	26	operated	operate	VERB
ejpam-6381	33	27	in	in	ADP
ejpam-6381	33	28	3d	3d	NUM
ejpam-6381	33	29	in	in	ADP
ejpam-6381	33	30	secure	secure	ADJ
ejpam-6381	33	31	transmission	transmission	NOUN
ejpam-6381	33	32	and	and	CCONJ
ejpam-6381	33	33	multi	multi	ADJ
ejpam-6381	33	34	-	-	ADJ
ejpam-6381	33	35	image	image	ADJ
ejpam-6381	33	36	encryption	encryption	NOUN
ejpam-6381	33	37	,	,	PUNCT
ejpam-6381	33	38	while	while	SCONJ
ejpam-6381	33	39	[	[	X
ejpam-6381	33	40	28	28	NUM
ejpam-6381	33	41	,	,	PUNCT
ejpam-6381	33	42	29	29	NUM
ejpam-6381	33	43	]	]	PUNCT
ejpam-6381	33	44	took	take	VERB
ejpam-6381	33	45	it	it	PRON
ejpam-6381	33	46	to	to	ADP
ejpam-6381	33	47	the	the	DET
ejpam-6381	33	48	4d	4d	NOUN
ejpam-6381	33	49	with	with	ADP
ejpam-6381	33	50	dynamic	dynamic	ADJ
ejpam-6381	33	51	analysis	analysis	NOUN
ejpam-6381	33	52	and	and	CCONJ
ejpam-6381	33	53	synchronization	synchronization	NOUN
ejpam-6381	33	54	added	add	VERB
ejpam-6381	33	55	.	.	PUNCT
ejpam-6381	34	1	hyperchaotic	hyperchaotic	PROPN
ejpam-6381	34	2	systems	system	NOUN
ejpam-6381	34	3	have	have	AUX
ejpam-6381	34	4	been	be	AUX
ejpam-6381	34	5	widely	widely	ADV
ejpam-6381	34	6	applied	apply	VERB
ejpam-6381	34	7	in	in	ADP
ejpam-6381	34	8	information	information	NOUN
ejpam-6381	34	9	processing	processing	NOUN
ejpam-6381	34	10	,	,	PUNCT
ejpam-6381	34	11	electronics	electronic	NOUN
ejpam-6381	34	12	,	,	PUNCT
ejpam-6381	34	13	neuroscience	neuroscience	NOUN
ejpam-6381	34	14	,	,	PUNCT
ejpam-6381	34	15	and	and	CCONJ
ejpam-6381	34	16	secure	secure	ADJ
ejpam-6381	34	17	communications	communication	NOUN
ejpam-6381	34	18	,	,	PUNCT
ejpam-6381	34	19	including	include	VERB
ejpam-6381	34	20	the	the	DET
ejpam-6381	34	21	encryption	encryption	NOUN
ejpam-6381	34	22	of	of	ADP
ejpam-6381	34	23	images	image	NOUN
ejpam-6381	34	24	,	,	PUNCT
ejpam-6381	34	25	audio	audio	ADJ
ejpam-6381	34	26	files	file	NOUN
ejpam-6381	34	27	,	,	PUNCT
ejpam-6381	34	28	and	and	CCONJ
ejpam-6381	34	29	videos	video	NOUN
ejpam-6381	34	30	,	,	PUNCT
ejpam-6381	34	31	and	and	CCONJ
ejpam-6381	34	32	also	also	ADV
ejpam-6381	34	33	in	in	ADP
ejpam-6381	34	34	the	the	DET
ejpam-6381	34	35	generation	generation	NOUN
ejpam-6381	34	36	of	of	ADP
ejpam-6381	34	37	random	random	ADJ
ejpam-6381	34	38	numbers	number	NOUN
ejpam-6381	34	39	[	[	X
ejpam-6381	34	40	30–33	30–33	NUM
ejpam-6381	34	41	]	]	PUNCT
ejpam-6381	34	42	.	.	PUNCT
ejpam-6381	35	1	fractional	fractional	ADJ
ejpam-6381	35	2	-	-	PUNCT
ejpam-6381	35	3	order	order	NOUN
ejpam-6381	35	4	systems	system	NOUN
ejpam-6381	35	5	give	give	VERB
ejpam-6381	35	6	a	a	DET
ejpam-6381	35	7	better	well	ADJ
ejpam-6381	35	8	description	description	NOUN
ejpam-6381	35	9	of	of	ADP
ejpam-6381	35	10	complex	complex	ADJ
ejpam-6381	35	11	dynamics	dynamic	NOUN
ejpam-6381	35	12	,	,	PUNCT
ejpam-6381	35	13	capturing	capture	VERB
ejpam-6381	35	14	memory	memory	NOUN
ejpam-6381	35	15	effects	effect	NOUN
ejpam-6381	35	16	and	and	CCONJ
ejpam-6381	35	17	long	long	ADJ
ejpam-6381	35	18	-	-	PUNCT
ejpam-6381	35	19	term	term	NOUN
ejpam-6381	35	20	dependencies	dependency	NOUN
ejpam-6381	35	21	beyond	beyond	ADP
ejpam-6381	35	22	the	the	DET
ejpam-6381	35	23	reach	reach	NOUN
ejpam-6381	35	24	of	of	ADP
ejpam-6381	35	25	traditional	traditional	ADJ
ejpam-6381	35	26	models	model	NOUN
ejpam-6381	35	27	.	.	PUNCT
ejpam-6381	36	1	fraci.kadri	fraci.kadri	PROPN
ejpam-6381	36	2	et	et	PROPN
ejpam-6381	36	3	al	al	PROPN
ejpam-6381	36	4	.	.	PUNCT
ejpam-6381	36	5	/	/	SYM
ejpam-6381	36	6	eur	eur	PROPN
ejpam-6381	36	7	.	.	PUNCT
ejpam-6381	37	1	j.	j.	PROPN
ejpam-6381	37	2	pure	pure	PROPN
ejpam-6381	37	3	appl	appl	PROPN
ejpam-6381	37	4	.	.	PROPN
ejpam-6381	37	5	math	math	PROPN
ejpam-6381	37	6	,	,	PUNCT
ejpam-6381	37	7	18	18	NUM
ejpam-6381	37	8	(	(	PUNCT
ejpam-6381	37	9	3	3	NUM
ejpam-6381	37	10	)	)	PUNCT
ejpam-6381	37	11	(	(	PUNCT
ejpam-6381	37	12	2025	2025	NUM
ejpam-6381	37	13	)	)	PUNCT
ejpam-6381	37	14	,	,	PUNCT
ejpam-6381	37	15	6381	6381	NUM
ejpam-6381	37	16	3	3	NUM
ejpam-6381	37	17	of	of	ADP
ejpam-6381	37	18	19	19	NUM
ejpam-6381	37	19	tional	tional	ADJ
ejpam-6381	37	20	system	system	NOUN
ejpam-6381	37	21	solutions	solution	NOUN
ejpam-6381	37	22	improve	improve	VERB
ejpam-6381	37	23	the	the	DET
ejpam-6381	37	24	simulation	simulation	NOUN
ejpam-6381	37	25	accuracy	accuracy	NOUN
ejpam-6381	37	26	in	in	ADP
ejpam-6381	37	27	most	most	ADJ
ejpam-6381	37	28	fields	field	NOUN
ejpam-6381	37	29	,	,	PUNCT
ejpam-6381	37	30	and	and	CCONJ
ejpam-6381	37	31	comparative	comparative	ADJ
ejpam-6381	37	32	studies	study	NOUN
ejpam-6381	37	33	[	[	X
ejpam-6381	37	34	34	34	NUM
ejpam-6381	37	35	,	,	PUNCT
ejpam-6381	37	36	35	35	NUM
ejpam-6381	37	37	]	]	PUNCT
ejpam-6381	37	38	establish	establish	VERB
ejpam-6381	37	39	the	the	DET
ejpam-6381	37	40	advantages	advantage	NOUN
ejpam-6381	37	41	and	and	CCONJ
ejpam-6381	37	42	limitations	limitation	NOUN
ejpam-6381	37	43	of	of	ADP
ejpam-6381	37	44	different	different	ADJ
ejpam-6381	37	45	approaches	approach	NOUN
ejpam-6381	37	46	to	to	PART
ejpam-6381	37	47	enhance	enhance	VERB
ejpam-6381	37	48	more	more	ADV
ejpam-6381	37	49	efficient	efficient	ADJ
ejpam-6381	37	50	modeling	modeling	NOUN
ejpam-6381	37	51	techniques	technique	NOUN
ejpam-6381	37	52	.	.	PUNCT
ejpam-6381	38	1	further	far	ADV
ejpam-6381	38	2	,	,	PUNCT
ejpam-6381	38	3	chaos	chaos	VERB
ejpam-6381	38	4	analysis	analysis	NOUN
ejpam-6381	38	5	of	of	ADP
ejpam-6381	38	6	fractional	fractional	ADJ
ejpam-6381	38	7	systems	system	NOUN
ejpam-6381	38	8	is	be	AUX
ejpam-6381	38	9	crucial	crucial	ADJ
ejpam-6381	38	10	for	for	ADP
ejpam-6381	38	11	safe	safe	ADJ
ejpam-6381	38	12	communication	communication	NOUN
ejpam-6381	38	13	,	,	PUNCT
ejpam-6381	38	14	encryption	encryption	NOUN
ejpam-6381	38	15	,	,	PUNCT
ejpam-6381	38	16	and	and	CCONJ
ejpam-6381	38	17	control	control	NOUN
ejpam-6381	38	18	systems	system	NOUN
ejpam-6381	38	19	.	.	PUNCT
ejpam-6381	39	1	modern	modern	ADJ
ejpam-6381	39	2	research	research	NOUN
ejpam-6381	39	3	on	on	ADP
ejpam-6381	39	4	hyperchaotic	hyperchaotic	ADJ
ejpam-6381	39	5	systems	system	NOUN
ejpam-6381	39	6	,	,	PUNCT
ejpam-6381	39	7	which	which	PRON
ejpam-6381	39	8	are	be	AUX
ejpam-6381	39	9	sensitive	sensitive	ADJ
ejpam-6381	39	10	and	and	CCONJ
ejpam-6381	39	11	have	have	VERB
ejpam-6381	39	12	complicated	complicated	ADJ
ejpam-6381	39	13	behavior	behavior	NOUN
ejpam-6381	39	14	,	,	PUNCT
ejpam-6381	39	15	is	be	AUX
ejpam-6381	39	16	important	important	ADJ
ejpam-6381	39	17	for	for	ADP
ejpam-6381	39	18	progressing	progress	VERB
ejpam-6381	39	19	secure	secure	ADJ
ejpam-6381	39	20	data	datum	NOUN
ejpam-6381	39	21	transmission	transmission	NOUN
ejpam-6381	39	22	,	,	PUNCT
ejpam-6381	39	23	cryptography	cryptography	NOUN
ejpam-6381	39	24	,	,	PUNCT
ejpam-6381	39	25	and	and	CCONJ
ejpam-6381	39	26	signal	signal	ADJ
ejpam-6381	39	27	processing	processing	NOUN
ejpam-6381	39	28	.	.	PUNCT
ejpam-6381	40	1	it	it	PRON
ejpam-6381	40	2	is	be	AUX
ejpam-6381	40	3	also	also	ADV
ejpam-6381	40	4	necessary	necessary	ADJ
ejpam-6381	40	5	to	to	PART
ejpam-6381	40	6	study	study	VERB
ejpam-6381	40	7	these	these	DET
ejpam-6381	40	8	systems	system	NOUN
ejpam-6381	40	9	to	to	PART
ejpam-6381	40	10	advance	advance	VERB
ejpam-6381	40	11	science	science	NOUN
ejpam-6381	40	12	and	and	CCONJ
ejpam-6381	40	13	technology	technology	NOUN
ejpam-6381	41	1	[	[	X
ejpam-6381	41	2	36–39	36–39	NUM
ejpam-6381	41	3	]	]	PUNCT
ejpam-6381	41	4	.	.	PUNCT
ejpam-6381	42	1	fu	fu	PROPN
ejpam-6381	42	2	et	et	PROPN
ejpam-6381	42	3	al	al	PROPN
ejpam-6381	42	4	.	.	PUNCT
ejpam-6381	43	1	[	[	X
ejpam-6381	43	2	40	40	NUM
ejpam-6381	43	3	]	]	PUNCT
ejpam-6381	43	4	introduced	introduce	VERB
ejpam-6381	43	5	the	the	DET
ejpam-6381	43	6	following	follow	VERB
ejpam-6381	43	7	4	4	NUM
ejpam-6381	43	8	-	-	PUNCT
ejpam-6381	43	9	dimensional	dimensional	ADJ
ejpam-6381	43	10	hyperchaotic	hyperchaotic	ADJ
ejpam-6381	43	11	system:	system:	X
ejpam-6381	43	12	dx1	dx1	PROPN
ejpam-6381	43	13	dt	dt	PROPN
ejpam-6381	43	14	=	=	SYM
ejpam-6381	43	15	a(x2	a(x2	NOUN
ejpam-6381	44	1	−	−	PROPN
ejpam-6381	44	2	x1	x1	PROPN
ejpam-6381	44	3	)	)	PUNCT
ejpam-6381	45	1	+	+	CCONJ
ejpam-6381	45	2	x4	x4	PROPN
ejpam-6381	45	3	,	,	PUNCT
ejpam-6381	45	4	dx2	dx2	PROPN
ejpam-6381	45	5	dt	dt	NOUN
ejpam-6381	45	6	=	=	PROPN
ejpam-6381	45	7	cx2	cx2	PROPN
ejpam-6381	45	8	−	−	PROPN
ejpam-6381	45	9	10x1x3	10x1x3	NUM
ejpam-6381	45	10	,	,	PUNCT
ejpam-6381	45	11	dx3	dx3	PROPN
ejpam-6381	45	12	dt	dt	PROPN
ejpam-6381	45	13	=	=	PUNCT
ejpam-6381	45	14	−bx3	−bx3	PROPN
ejpam-6381	45	15	+	+	NOUN
ejpam-6381	45	16	10x1x2	10x1x2	NOUN
ejpam-6381	45	17	,	,	PUNCT
ejpam-6381	45	18	dx4	dx4	NOUN
ejpam-6381	45	19	dt	dt	NOUN
ejpam-6381	45	20	=	=	SYM
ejpam-6381	45	21	dx2	dx2	PROPN
ejpam-6381	45	22	+	+	CCONJ
ejpam-6381	45	23	x21	x21	PROPN
ejpam-6381	45	24	,	,	PUNCT
ejpam-6381	45	25	(	(	PUNCT
ejpam-6381	45	26	1	1	X
ejpam-6381	45	27	)	)	PUNCT
ejpam-6381	45	28	where	where	SCONJ
ejpam-6381	45	29	a	a	DET
ejpam-6381	45	30	,	,	PUNCT
ejpam-6381	45	31	b	b	NOUN
ejpam-6381	45	32	,	,	PUNCT
ejpam-6381	45	33	and	and	CCONJ
ejpam-6381	45	34	c	c	PROPN
ejpam-6381	45	35	are	be	AUX
ejpam-6381	45	36	constants	constant	NOUN
ejpam-6381	45	37	,	,	PUNCT
ejpam-6381	45	38	d	d	X
ejpam-6381	45	39	>	>	X
ejpam-6381	45	40	0	0	NUM
ejpam-6381	45	41	is	be	AUX
ejpam-6381	45	42	a	a	DET
ejpam-6381	45	43	variable	variable	ADJ
ejpam-6381	45	44	parameter	parameter	NOUN
ejpam-6381	45	45	,	,	PUNCT
ejpam-6381	45	46	and	and	CCONJ
ejpam-6381	45	47	x1	x1	NUM
ejpam-6381	45	48	,	,	PUNCT
ejpam-6381	45	49	x2	x2	PROPN
ejpam-6381	45	50	,	,	PUNCT
ejpam-6381	45	51	x3	x3	ADJ
ejpam-6381	45	52	,	,	PUNCT
ejpam-6381	45	53	and	and	CCONJ
ejpam-6381	45	54	x4	x4	PROPN
ejpam-6381	45	55	are	be	AUX
ejpam-6381	45	56	driving	drive	VERB
ejpam-6381	45	57	variables	variable	NOUN
ejpam-6381	45	58	.	.	PUNCT
ejpam-6381	46	1	fractional	fractional	ADJ
ejpam-6381	46	2	hyperchaotic	hyperchaotic	ADJ
ejpam-6381	46	3	systems	system	NOUN
ejpam-6381	46	4	utilizing	utilize	VERB
ejpam-6381	46	5	the	the	DET
ejpam-6381	46	6	caputo	caputo	PROPN
ejpam-6381	46	7	derivative	derivative	PROPN
ejpam-6381	46	8	are	be	AUX
ejpam-6381	46	9	a	a	DET
ejpam-6381	46	10	generalization	generalization	NOUN
ejpam-6381	46	11	of	of	ADP
ejpam-6381	46	12	conventional	conventional	ADJ
ejpam-6381	46	13	hyperchaotic	hyperchaotic	ADJ
ejpam-6381	46	14	systems	system	NOUN
ejpam-6381	46	15	,	,	PUNCT
ejpam-6381	46	16	described	describe	VERB
ejpam-6381	46	17	by	by	ADP
ejpam-6381	46	18	incorporating	incorporate	VERB
ejpam-6381	46	19	fractional	fractional	ADJ
ejpam-6381	46	20	-	-	PUNCT
ejpam-6381	46	21	order	order	NOUN
ejpam-6381	46	22	dynamics	dynamic	NOUN
ejpam-6381	46	23	described	describe	VERB
ejpam-6381	46	24	by	by	ADP
ejpam-6381	46	25	:	:	PUNCT
ejpam-6381	46	26			NOUN
ejpam-6381	46	27	cdν	cdν	VERB
ejpam-6381	46	28	0,tx1	0,tx1	NOUN
ejpam-6381	46	29	=	=	SYM
ejpam-6381	46	30	a(x2	a(x2	NOUN
ejpam-6381	47	1	−	−	PROPN
ejpam-6381	47	2	x1	x1	PROPN
ejpam-6381	47	3	)	)	PUNCT
ejpam-6381	48	1	+	+	CCONJ
ejpam-6381	48	2	x4	x4	PROPN
ejpam-6381	48	3	,	,	PUNCT
ejpam-6381	48	4	cdν	cdν	VERB
ejpam-6381	48	5	0,tx2	0,tx2	NOUN
ejpam-6381	48	6	=	=	PUNCT
ejpam-6381	48	7	cx2	cx2	NOUN
ejpam-6381	48	8	−	−	PROPN
ejpam-6381	48	9	10x1x3	10x1x3	NUM
ejpam-6381	48	10	,	,	PUNCT
ejpam-6381	48	11	cdν	cdν	VERB
ejpam-6381	48	12	0,tx3	0,tx3	PROPN
ejpam-6381	48	13	=	=	SYM
ejpam-6381	49	1	−bx3	−bx3	X
ejpam-6381	49	2	+	+	SYM
ejpam-6381	49	3	10x1x2	10x1x2	NOUN
ejpam-6381	49	4	,	,	PUNCT
ejpam-6381	49	5	cdν	cdν	VERB
ejpam-6381	49	6	0,tx4	0,tx4	X
ejpam-6381	50	1	=	=	SYM
ejpam-6381	50	2	dx2	dx2	PROPN
ejpam-6381	50	3	+	+	CCONJ
ejpam-6381	50	4	x21	x21	PROPN
ejpam-6381	50	5	,	,	PUNCT
ejpam-6381	50	6	(	(	PUNCT
ejpam-6381	50	7	2	2	X
ejpam-6381	50	8	)	)	PUNCT
ejpam-6381	50	9	where	where	SCONJ
ejpam-6381	50	10	cdν	cdν	PROPN
ejpam-6381	50	11	0,t	0,t	PROPN
ejpam-6381	50	12	is	be	AUX
ejpam-6381	50	13	the	the	DET
ejpam-6381	50	14	caputo	caputo	PROPN
ejpam-6381	50	15	fractional	fractional	PROPN
ejpam-6381	50	16	derivative	derivative	NOUN
ejpam-6381	50	17	of	of	ADP
ejpam-6381	50	18	order	order	NOUN
ejpam-6381	50	19	ν	ν	NOUN
ejpam-6381	50	20	,	,	PUNCT
ejpam-6381	50	21	while	while	SCONJ
ejpam-6381	50	22	a	a	DET
ejpam-6381	50	23	,	,	PUNCT
ejpam-6381	50	24	b	b	NOUN
ejpam-6381	50	25	,	,	PUNCT
ejpam-6381	50	26	and	and	CCONJ
ejpam-6381	50	27	c	c	PROPN
ejpam-6381	50	28	are	be	AUX
ejpam-6381	50	29	constants	constant	NOUN
ejpam-6381	50	30	,	,	PUNCT
ejpam-6381	50	31	d	d	X
ejpam-6381	50	32	>	>	X
ejpam-6381	50	33	0	0	NUM
ejpam-6381	50	34	is	be	AUX
ejpam-6381	50	35	a	a	DET
ejpam-6381	50	36	variable	variable	ADJ
ejpam-6381	50	37	parameter	parameter	NOUN
ejpam-6381	50	38	,	,	PUNCT
ejpam-6381	50	39	and	and	CCONJ
ejpam-6381	50	40	(	(	PUNCT
ejpam-6381	50	41	x1	x1	PROPN
ejpam-6381	50	42	)	)	PUNCT
ejpam-6381	50	43	,	,	PUNCT
ejpam-6381	50	44	(	(	PUNCT
ejpam-6381	50	45	x2	x2	PROPN
ejpam-6381	50	46	)	)	PUNCT
ejpam-6381	50	47	,	,	PUNCT
ejpam-6381	50	48	(	(	PUNCT
ejpam-6381	50	49	x3	x3	ADJ
ejpam-6381	50	50	)	)	PUNCT
ejpam-6381	50	51	,	,	PUNCT
ejpam-6381	50	52	and	and	CCONJ
ejpam-6381	50	53	(	(	PUNCT
ejpam-6381	50	54	x4	x4	PROPN
ejpam-6381	50	55	)	)	PUNCT
ejpam-6381	50	56	are	be	AUX
ejpam-6381	50	57	driving	drive	VERB
ejpam-6381	50	58	variables	variable	NOUN
ejpam-6381	50	59	.	.	PUNCT
ejpam-6381	51	1	despite	despite	SCONJ
ejpam-6381	51	2	extensive	extensive	ADJ
ejpam-6381	51	3	studies	study	NOUN
ejpam-6381	51	4	on	on	ADP
ejpam-6381	51	5	chaotic	chaotic	ADJ
ejpam-6381	51	6	dynamics	dynamic	NOUN
ejpam-6381	51	7	in	in	ADP
ejpam-6381	51	8	systems	system	NOUN
ejpam-6381	51	9	characterized	characterize	VERB
ejpam-6381	51	10	by	by	ADP
ejpam-6381	51	11	fractional	fractional	ADJ
ejpam-6381	51	12	orders	order	NOUN
ejpam-6381	51	13	,	,	PUNCT
ejpam-6381	51	14	there	there	PRON
ejpam-6381	51	15	is	be	VERB
ejpam-6381	51	16	a	a	DET
ejpam-6381	51	17	lack	lack	NOUN
ejpam-6381	51	18	of	of	ADP
ejpam-6381	51	19	appropriate	appropriate	ADJ
ejpam-6381	51	20	approaches	approach	NOUN
ejpam-6381	51	21	that	that	PRON
ejpam-6381	51	22	provide	provide	VERB
ejpam-6381	51	23	both	both	DET
ejpam-6381	51	24	numerical	numerical	ADJ
ejpam-6381	51	25	accuracy	accuracy	NOUN
ejpam-6381	51	26	and	and	CCONJ
ejpam-6381	51	27	analytical	analytical	ADJ
ejpam-6381	51	28	stability	stability	NOUN
ejpam-6381	51	29	.	.	PUNCT
ejpam-6381	52	1	many	many	ADJ
ejpam-6381	52	2	existing	exist	VERB
ejpam-6381	52	3	approaches	approach	NOUN
ejpam-6381	52	4	are	be	AUX
ejpam-6381	52	5	either	either	CCONJ
ejpam-6381	52	6	just	just	ADV
ejpam-6381	52	7	numerical	numerical	ADJ
ejpam-6381	52	8	simulations	simulation	NOUN
ejpam-6381	52	9	lacking	lack	VERB
ejpam-6381	52	10	theoretical	theoretical	ADJ
ejpam-6381	52	11	insight	insight	NOUN
ejpam-6381	52	12	or	or	CCONJ
ejpam-6381	52	13	exclusively	exclusively	ADV
ejpam-6381	52	14	analytical	analytical	ADJ
ejpam-6381	52	15	approximations	approximation	NOUN
ejpam-6381	52	16	that	that	PRON
ejpam-6381	52	17	may	may	AUX
ejpam-6381	52	18	not	not	PART
ejpam-6381	52	19	sufficiently	sufficiently	ADV
ejpam-6381	52	20	represent	represent	VERB
ejpam-6381	52	21	chaotic	chaotic	ADJ
ejpam-6381	52	22	behavior	behavior	NOUN
ejpam-6381	52	23	.	.	PUNCT
ejpam-6381	53	1	this	this	DET
ejpam-6381	53	2	work	work	NOUN
ejpam-6381	53	3	fills	fill	VERB
ejpam-6381	53	4	this	this	DET
ejpam-6381	53	5	gap	gap	NOUN
ejpam-6381	53	6	by	by	ADP
ejpam-6381	53	7	integrating	integrate	VERB
ejpam-6381	53	8	the	the	DET
ejpam-6381	53	9	merits	merit	NOUN
ejpam-6381	53	10	of	of	ADP
ejpam-6381	53	11	both	both	CCONJ
ejpam-6381	53	12	rpsm	rpsm	ADJ
ejpam-6381	53	13	and	and	CCONJ
ejpam-6381	53	14	cfd	cfd	NOUN
ejpam-6381	53	15	to	to	PART
ejpam-6381	53	16	provide	provide	VERB
ejpam-6381	53	17	a	a	DET
ejpam-6381	53	18	well	well	ADV
ejpam-6381	53	19	-	-	PUNCT
ejpam-6381	53	20	balanced	balance	VERB
ejpam-6381	53	21	technique	technique	NOUN
ejpam-6381	53	22	for	for	ADP
ejpam-6381	53	23	the	the	DET
ejpam-6381	53	24	analysis	analysis	NOUN
ejpam-6381	53	25	of	of	ADP
ejpam-6381	53	26	fractional	fractional	ADJ
ejpam-6381	53	27	-	-	PUNCT
ejpam-6381	53	28	order	order	NOUN
ejpam-6381	53	29	chaotic	chaotic	ADJ
ejpam-6381	53	30	systems	system	NOUN
ejpam-6381	53	31	.	.	PUNCT
ejpam-6381	54	1	moreover	moreover	ADV
ejpam-6381	54	2	,	,	PUNCT
ejpam-6381	54	3	previous	previous	ADJ
ejpam-6381	54	4	research	research	NOUN
ejpam-6381	54	5	has	have	AUX
ejpam-6381	54	6	concentrated	concentrate	VERB
ejpam-6381	54	7	much	much	ADV
ejpam-6381	54	8	on	on	ADP
ejpam-6381	54	9	low	low	ADJ
ejpam-6381	54	10	-	-	PUNCT
ejpam-6381	54	11	dimensional	dimensional	ADJ
ejpam-6381	54	12	systems	system	NOUN
ejpam-6381	54	13	,	,	PUNCT
ejpam-6381	54	14	while	while	SCONJ
ejpam-6381	54	15	the	the	DET
ejpam-6381	54	16	present	present	ADJ
ejpam-6381	54	17	study	study	NOUN
ejpam-6381	54	18	investigates	investigate	VERB
ejpam-6381	54	19	higher	higher	ADV
ejpam-6381	54	20	-	-	PUNCT
ejpam-6381	54	21	dimensional	dimensional	ADJ
ejpam-6381	54	22	studies	study	NOUN
ejpam-6381	54	23	of	of	ADP
ejpam-6381	54	24	the	the	DET
ejpam-6381	54	25	4d	4d	ADJ
ejpam-6381	54	26	fractional	fractional	ADJ
ejpam-6381	54	27	-	-	PUNCT
ejpam-6381	54	28	order	order	NOUN
ejpam-6381	54	29	system	system	NOUN
ejpam-6381	54	30	to	to	PART
ejpam-6381	54	31	provide	provide	VERB
ejpam-6381	54	32	a	a	DET
ejpam-6381	54	33	more	more	ADV
ejpam-6381	54	34	precise	precise	ADJ
ejpam-6381	54	35	and	and	CCONJ
ejpam-6381	54	36	realistic	realistic	ADJ
ejpam-6381	54	37	approximation	approximation	NOUN
ejpam-6381	54	38	of	of	ADP
ejpam-6381	54	39	chaotic	chaotic	ADJ
ejpam-6381	54	40	dynamics	dynamic	NOUN
ejpam-6381	54	41	.	.	PUNCT
ejpam-6381	55	1	the	the	DET
ejpam-6381	55	2	results	result	NOUN
ejpam-6381	55	3	demonstrate	demonstrate	VERB
ejpam-6381	55	4	that	that	SCONJ
ejpam-6381	55	5	cfdand	cfdand	NOUN
ejpam-6381	55	6	rpsm	rpsm	NOUN
ejpam-6381	55	7	-	-	PUNCT
ejpam-6381	55	8	based	base	VERB
ejpam-6381	55	9	methods	method	NOUN
ejpam-6381	55	10	have	have	VERB
ejpam-6381	55	11	a	a	DET
ejpam-6381	55	12	significant	significant	ADJ
ejpam-6381	55	13	potential	potential	NOUN
ejpam-6381	55	14	for	for	ADP
ejpam-6381	55	15	enhancing	enhance	VERB
ejpam-6381	55	16	modeling	modeling	NOUN
ejpam-6381	55	17	and	and	CCONJ
ejpam-6381	55	18	solving	solve	VERB
ejpam-6381	55	19	complicated	complicated	ADJ
ejpam-6381	55	20	dynamical	dynamical	ADJ
ejpam-6381	55	21	systems	system	NOUN
ejpam-6381	55	22	,	,	PUNCT
ejpam-6381	55	23	indicating	indicate	VERB
ejpam-6381	55	24	their	their	PRON
ejpam-6381	55	25	applicability	applicability	NOUN
ejpam-6381	55	26	in	in	ADP
ejpam-6381	55	27	various	various	ADJ
ejpam-6381	55	28	scientific	scientific	ADJ
ejpam-6381	55	29	and	and	CCONJ
ejpam-6381	55	30	engineering	engineering	NOUN
ejpam-6381	55	31	fields	field	NOUN
ejpam-6381	55	32	[	[	X
ejpam-6381	55	33	41	41	NUM
ejpam-6381	55	34	,	,	PUNCT
ejpam-6381	55	35	42	42	NUM
ejpam-6381	55	36	]	]	PUNCT
ejpam-6381	55	37	.	.	PUNCT
ejpam-6381	56	1	i.kadri	i.kadri	PROPN
ejpam-6381	56	2	et	et	PROPN
ejpam-6381	56	3	al	al	PROPN
ejpam-6381	56	4	.	.	PUNCT
ejpam-6381	56	5	/	/	SYM
ejpam-6381	56	6	eur	eur	PROPN
ejpam-6381	56	7	.	.	PUNCT
ejpam-6381	57	1	j.	j.	PROPN
ejpam-6381	57	2	pure	pure	PROPN
ejpam-6381	57	3	appl	appl	PROPN
ejpam-6381	57	4	.	.	PROPN
ejpam-6381	57	5	math	math	PROPN
ejpam-6381	57	6	,	,	PUNCT
ejpam-6381	57	7	18	18	NUM
ejpam-6381	57	8	(	(	PUNCT
ejpam-6381	57	9	3	3	NUM
ejpam-6381	57	10	)	)	PUNCT
ejpam-6381	57	11	(	(	PUNCT
ejpam-6381	57	12	2025	2025	NUM
ejpam-6381	57	13	)	)	PUNCT
ejpam-6381	57	14	,	,	PUNCT
ejpam-6381	57	15	6381	6381	NUM
ejpam-6381	57	16	4	4	NUM
ejpam-6381	57	17	of	of	ADP
ejpam-6381	57	18	19	19	NUM
ejpam-6381	57	19	this	this	DET
ejpam-6381	57	20	article	article	NOUN
ejpam-6381	57	21	presents	present	VERB
ejpam-6381	57	22	a	a	DET
ejpam-6381	57	23	novel	novel	ADJ
ejpam-6381	57	24	approach	approach	NOUN
ejpam-6381	57	25	,	,	PUNCT
ejpam-6381	57	26	which	which	PRON
ejpam-6381	57	27	combines	combine	VERB
ejpam-6381	57	28	the	the	DET
ejpam-6381	57	29	caputo	caputo	PROPN
ejpam-6381	57	30	fractional	fractional	PROPN
ejpam-6381	57	31	derivative	derivative	PROPN
ejpam-6381	57	32	(	(	PUNCT
ejpam-6381	57	33	cfd	cfd	NOUN
ejpam-6381	57	34	)	)	PUNCT
ejpam-6381	57	35	technique	technique	NOUN
ejpam-6381	57	36	with	with	ADP
ejpam-6381	57	37	the	the	DET
ejpam-6381	57	38	residual	residual	ADJ
ejpam-6381	57	39	power	power	NOUN
ejpam-6381	57	40	series	series	NOUN
ejpam-6381	57	41	method	method	NOUN
ejpam-6381	57	42	(	(	PUNCT
ejpam-6381	57	43	rpsm	rpsm	PROPN
ejpam-6381	57	44	)	)	PUNCT
ejpam-6381	57	45	,	,	PUNCT
ejpam-6381	57	46	to	to	PART
ejpam-6381	57	47	investigate	investigate	VERB
ejpam-6381	57	48	the	the	DET
ejpam-6381	57	49	complex	complex	ADJ
ejpam-6381	57	50	dynamics	dynamic	NOUN
ejpam-6381	57	51	within	within	ADP
ejpam-6381	57	52	a	a	DET
ejpam-6381	57	53	fractional	fractional	ADJ
ejpam-6381	57	54	-	-	PUNCT
ejpam-6381	57	55	order	order	NOUN
ejpam-6381	57	56	4d	4d	NUM
ejpam-6381	57	57	system	system	NOUN
ejpam-6381	57	58	.	.	PUNCT
ejpam-6381	58	1	fractional	fractional	ADJ
ejpam-6381	58	2	-	-	PUNCT
ejpam-6381	58	3	order	order	NOUN
ejpam-6381	58	4	chaotic	chaotic	ADJ
ejpam-6381	58	5	systems	system	NOUN
ejpam-6381	58	6	have	have	AUX
ejpam-6381	58	7	been	be	AUX
ejpam-6381	58	8	studied	study	VERB
ejpam-6381	58	9	individually	individually	ADV
ejpam-6381	58	10	through	through	ADP
ejpam-6381	58	11	numerical	numerical	ADJ
ejpam-6381	58	12	or	or	CCONJ
ejpam-6381	58	13	analytical	analytical	ADJ
ejpam-6381	58	14	methods	method	NOUN
ejpam-6381	58	15	in	in	ADP
ejpam-6381	58	16	the	the	DET
ejpam-6381	58	17	literature	literature	NOUN
ejpam-6381	58	18	before	before	ADV
ejpam-6381	58	19	;	;	PUNCT
ejpam-6381	58	20	however	however	ADV
ejpam-6381	58	21	,	,	PUNCT
ejpam-6381	58	22	combined	combined	ADJ
ejpam-6381	58	23	usage	usage	NOUN
ejpam-6381	58	24	of	of	ADP
ejpam-6381	58	25	cfd	cfd	NOUN
ejpam-6381	58	26	and	and	CCONJ
ejpam-6381	58	27	rpsm	rpsm	VERB
ejpam-6381	58	28	in	in	ADP
ejpam-6381	58	29	this	this	DET
ejpam-6381	58	30	article	article	NOUN
ejpam-6381	58	31	presents	present	VERB
ejpam-6381	58	32	a	a	DET
ejpam-6381	58	33	more	more	ADV
ejpam-6381	58	34	profound	profound	ADJ
ejpam-6381	58	35	and	and	CCONJ
ejpam-6381	58	36	precise	precise	ADJ
ejpam-6381	58	37	insight	insight	NOUN
ejpam-6381	58	38	into	into	ADP
ejpam-6381	58	39	chaotic	chaotic	ADJ
ejpam-6381	58	40	dynamics	dynamic	NOUN
ejpam-6381	58	41	.	.	PUNCT
ejpam-6381	59	1	the	the	DET
ejpam-6381	59	2	cfd	cfd	NOUN
ejpam-6381	59	3	approach	approach	NOUN
ejpam-6381	59	4	guarantees	guarantee	VERB
ejpam-6381	59	5	numerical	numerical	ADJ
ejpam-6381	59	6	simulations	simulation	NOUN
ejpam-6381	59	7	of	of	ADP
ejpam-6381	59	8	high	high	ADJ
ejpam-6381	59	9	accuracy	accuracy	NOUN
ejpam-6381	59	10	exactly	exactly	ADV
ejpam-6381	59	11	with	with	ADP
ejpam-6381	59	12	numerical	numerical	ADJ
ejpam-6381	59	13	certainty	certainty	NOUN
ejpam-6381	59	14	,	,	PUNCT
ejpam-6381	59	15	elegantly	elegantly	ADV
ejpam-6381	59	16	approximating	approximate	VERB
ejpam-6381	59	17	complicated	complicated	ADJ
ejpam-6381	59	18	chaotic	chaotic	ADJ
ejpam-6381	59	19	dynamics	dynamic	NOUN
ejpam-6381	59	20	,	,	PUNCT
ejpam-6381	59	21	while	while	SCONJ
ejpam-6381	59	22	the	the	DET
ejpam-6381	59	23	rpsm	rpsm	ADJ
ejpam-6381	59	24	guarantees	guarantee	VERB
ejpam-6381	59	25	computationally	computationally	ADV
ejpam-6381	59	26	efficient	efficient	ADJ
ejpam-6381	59	27	and	and	CCONJ
ejpam-6381	59	28	stable	stable	ADJ
ejpam-6381	59	29	means	mean	NOUN
ejpam-6381	59	30	of	of	ADP
ejpam-6381	59	31	determining	determine	VERB
ejpam-6381	59	32	analytical	analytical	ADJ
ejpam-6381	59	33	solutions	solution	NOUN
ejpam-6381	59	34	.	.	PUNCT
ejpam-6381	60	1	the	the	DET
ejpam-6381	60	2	combination	combination	NOUN
ejpam-6381	60	3	enhances	enhance	VERB
ejpam-6381	60	4	the	the	DET
ejpam-6381	60	5	reliability	reliability	NOUN
ejpam-6381	60	6	and	and	CCONJ
ejpam-6381	60	7	accuracy	accuracy	NOUN
ejpam-6381	60	8	of	of	ADP
ejpam-6381	60	9	fractional	fractional	ADJ
ejpam-6381	60	10	-	-	PUNCT
ejpam-6381	60	11	order	order	NOUN
ejpam-6381	60	12	chaotic	chaotic	ADJ
ejpam-6381	60	13	systems	system	NOUN
ejpam-6381	60	14	,	,	PUNCT
ejpam-6381	60	15	marking	mark	VERB
ejpam-6381	60	16	a	a	DET
ejpam-6381	60	17	significant	significant	ADJ
ejpam-6381	60	18	advancement	advancement	NOUN
ejpam-6381	60	19	in	in	ADP
ejpam-6381	60	20	the	the	DET
ejpam-6381	60	21	field	field	NOUN
ejpam-6381	60	22	.	.	PUNCT
ejpam-6381	61	1	the	the	DET
ejpam-6381	61	2	paper	paper	NOUN
ejpam-6381	61	3	demonstrates	demonstrate	VERB
ejpam-6381	61	4	how	how	SCONJ
ejpam-6381	61	5	the	the	DET
ejpam-6381	61	6	two	two	NUM
ejpam-6381	61	7	approaches	approach	NOUN
ejpam-6381	61	8	complement	complement	VERB
ejpam-6381	61	9	each	each	DET
ejpam-6381	61	10	other	other	ADJ
ejpam-6381	61	11	in	in	ADP
ejpam-6381	61	12	their	their	PRON
ejpam-6381	61	13	ways	way	NOUN
ejpam-6381	61	14	to	to	PART
ejpam-6381	61	15	close	close	VERB
ejpam-6381	61	16	the	the	DET
ejpam-6381	61	17	gap	gap	NOUN
ejpam-6381	61	18	between	between	ADP
ejpam-6381	61	19	numerical	numerical	ADJ
ejpam-6381	61	20	and	and	CCONJ
ejpam-6381	61	21	analytical	analytical	ADJ
ejpam-6381	61	22	methods	method	NOUN
ejpam-6381	61	23	to	to	ADP
ejpam-6381	61	24	fractional	fractional	ADJ
ejpam-6381	61	25	-	-	PUNCT
ejpam-6381	61	26	order	order	NOUN
ejpam-6381	61	27	chaos	chaos	NOUN
ejpam-6381	61	28	.	.	PUNCT
ejpam-6381	62	1	2	2	X
ejpam-6381	62	2	.	.	X
ejpam-6381	62	3	mathematical	mathematical	ADJ
ejpam-6381	62	4	preliminaries	preliminary	NOUN
ejpam-6381	62	5	definition	definition	NOUN
ejpam-6381	62	6	1[43	1[43	NUM
ejpam-6381	62	7	]	]	PUNCT
ejpam-6381	62	8	:	:	PUNCT
ejpam-6381	62	9	the	the	DET
ejpam-6381	62	10	riemann	riemann	PROPN
ejpam-6381	62	11	–	–	PUNCT
ejpam-6381	62	12	liouville	liouville	NOUN
ejpam-6381	62	13	(	(	PUNCT
ejpam-6381	62	14	r	r	NOUN
ejpam-6381	62	15	-	-	PUNCT
ejpam-6381	62	16	l	l	NOUN
ejpam-6381	62	17	)	)	PUNCT
ejpam-6381	62	18	fractional	fractional	ADJ
ejpam-6381	62	19	integral	integral	ADJ
ejpam-6381	62	20	of	of	ADP
ejpam-6381	62	21	a	a	DET
ejpam-6381	62	22	function	function	NOUN
ejpam-6381	62	23	q	q	NOUN
ejpam-6381	62	24	:	:	PUNCT
ejpam-6381	62	25	r+	r+	NOUN
ejpam-6381	62	26	→	→	PUNCT
ejpam-6381	62	27	r	r	NOUN
ejpam-6381	62	28	of	of	ADP
ejpam-6381	62	29	order	order	NOUN
ejpam-6381	62	30	ν	ν	X
ejpam-6381	62	31	>	>	X
ejpam-6381	62	32	0	0	NUM
ejpam-6381	62	33	is	be	AUX
ejpam-6381	62	34	characterized	characterize	VERB
ejpam-6381	62	35	as	as	SCONJ
ejpam-6381	62	36	follows	follow	VERB
ejpam-6381	62	37	:	:	PUNCT
ejpam-6381	62	38	0j	0j	NOUN
ejpam-6381	62	39	ν	ν	X
ejpam-6381	62	40	t	t	PROPN
ejpam-6381	62	41	(	(	PUNCT
ejpam-6381	62	42	q(t	q(t	ADJ
ejpam-6381	62	43	)	)	PUNCT
ejpam-6381	62	44	)	)	PUNCT
ejpam-6381	63	1	=	=	SYM
ejpam-6381	63	2	1	1	NUM
ejpam-6381	63	3	γ(ν	γ(ν	PROPN
ejpam-6381	63	4	)	)	PUNCT
ejpam-6381	63	5	∫	∫	PROPN
ejpam-6381	64	1	t	t	PROPN
ejpam-6381	64	2	0	0	NUM
ejpam-6381	64	3	(	(	PUNCT
ejpam-6381	64	4	t−	t−	PROPN
ejpam-6381	64	5	µ)ν−1q(µ)dµ	µ)ν−1q(µ)dµ	PROPN
ejpam-6381	64	6	,	,	PUNCT
ejpam-6381	64	7	t	t	X
ejpam-6381	64	8	>	>	X
ejpam-6381	64	9	0	0	PROPN
ejpam-6381	64	10	,	,	PUNCT
ejpam-6381	64	11	where	where	SCONJ
ejpam-6381	64	12	,	,	PUNCT
ejpam-6381	64	13	γ(ν	γ(ν	PROPN
ejpam-6381	64	14	)	)	PUNCT
ejpam-6381	64	15	represents	represent	VERB
ejpam-6381	64	16	the	the	DET
ejpam-6381	64	17	euler	euler	PROPN
ejpam-6381	64	18	gamma	gamma	PROPN
ejpam-6381	64	19	function	function	PROPN
ejpam-6381	64	20	.	.	PUNCT
ejpam-6381	65	1	definition	definition	NOUN
ejpam-6381	65	2	2[43	2[43	NUM
ejpam-6381	65	3	]	]	PUNCT
ejpam-6381	65	4	:	:	PUNCT
ejpam-6381	65	5	the	the	DET
ejpam-6381	65	6	r	r	PROPN
ejpam-6381	65	7	–	–	PUNCT
ejpam-6381	65	8	l	l	NOUN
ejpam-6381	65	9	fractional	fractional	ADJ
ejpam-6381	65	10	differential	differential	NOUN
ejpam-6381	65	11	operator	operator	NOUN
ejpam-6381	65	12	applied	apply	VERB
ejpam-6381	65	13	to	to	ADP
ejpam-6381	65	14	q(t	q(t	NOUN
ejpam-6381	65	15	)	)	PUNCT
ejpam-6381	65	16	of	of	ADP
ejpam-6381	65	17	order	order	NOUN
ejpam-6381	65	18	ν	ν	X
ejpam-6381	65	19	>	>	X
ejpam-6381	65	20	0	0	NUM
ejpam-6381	65	21	is	be	AUX
ejpam-6381	65	22	written	write	VERB
ejpam-6381	65	23	as	as	ADP
ejpam-6381	65	24	:	:	PUNCT
ejpam-6381	65	25	rldν	rldν	VERB
ejpam-6381	65	26	0,t(q(t	0,t(q(t	NOUN
ejpam-6381	65	27	)	)	PUNCT
ejpam-6381	65	28	)	)	PUNCT
ejpam-6381	66	1	=	=	SYM
ejpam-6381	66	2	1	1	NUM
ejpam-6381	66	3	γ(m−	γ(m−	PROPN
ejpam-6381	66	4	ν	ν	NOUN
ejpam-6381	66	5	)	)	PUNCT
ejpam-6381	66	6	dm	dm	PROPN
ejpam-6381	66	7	dtm	dtm	PROPN
ejpam-6381	66	8	∫	∫	PROPN
ejpam-6381	66	9	t	t	PROPN
ejpam-6381	66	10	0	0	NUM
ejpam-6381	66	11	(	(	PUNCT
ejpam-6381	66	12	t−	t−	PROPN
ejpam-6381	66	13	µ)m−ν−1q(µ)dµ	µ)m−ν−1q(µ)dµ	PROPN
ejpam-6381	66	14	,	,	PUNCT
ejpam-6381	66	15	t	t	X
ejpam-6381	66	16	>	>	X
ejpam-6381	66	17	0	0	PROPN
ejpam-6381	66	18	,	,	PUNCT
ejpam-6381	66	19	where	where	SCONJ
ejpam-6381	66	20	,	,	PUNCT
ejpam-6381	66	21	m	m	VERB
ejpam-6381	66	22	−	−	PROPN
ejpam-6381	66	23	1	1	NUM
ejpam-6381	66	24	<	<	X
ejpam-6381	66	25	ν	ν	X
ejpam-6381	66	26	<	<	X
ejpam-6381	66	27	m	m	PROPN
ejpam-6381	66	28	,	,	PUNCT
ejpam-6381	66	29	andm	andm	PROPN
ejpam-6381	66	30	∈	∈	PROPN
ejpam-6381	66	31	n.	n.	NOUN
ejpam-6381	66	32	in	in	ADP
ejpam-6381	66	33	this	this	DET
ejpam-6381	66	34	definition	definition	NOUN
ejpam-6381	66	35	,	,	PUNCT
ejpam-6381	66	36	the	the	DET
ejpam-6381	66	37	associated	associated	ADJ
ejpam-6381	66	38	kernel	kernel	NOUN
ejpam-6381	66	39	may	may	AUX
ejpam-6381	66	40	exhibit	exhibit	VERB
ejpam-6381	66	41	a	a	DET
ejpam-6381	66	42	singularity	singularity	NOUN
ejpam-6381	66	43	at	at	ADP
ejpam-6381	66	44	one	one	NUM
ejpam-6381	66	45	endpoint	endpoint	NOUN
ejpam-6381	66	46	of	of	ADP
ejpam-6381	66	47	the	the	DET
ejpam-6381	66	48	integration	integration	NOUN
ejpam-6381	66	49	interval	interval	NOUN
ejpam-6381	66	50	.	.	PUNCT
ejpam-6381	67	1	definition	definition	NOUN
ejpam-6381	67	2	3[43	3[43	NUM
ejpam-6381	67	3	]	]	PUNCT
ejpam-6381	67	4	:	:	PUNCT
ejpam-6381	67	5	the	the	DET
ejpam-6381	67	6	fractional	fractional	ADJ
ejpam-6381	67	7	derivative	derivative	NOUN
ejpam-6381	67	8	of	of	ADP
ejpam-6381	67	9	a	a	DET
ejpam-6381	67	10	function	function	NOUN
ejpam-6381	67	11	q(t	q(t	NOUN
ejpam-6381	67	12	)	)	PUNCT
ejpam-6381	67	13	is	be	AUX
ejpam-6381	67	14	defined	define	VERB
ejpam-6381	67	15	according	accord	VERB
ejpam-6381	67	16	to	to	ADP
ejpam-6381	67	17	the	the	DET
ejpam-6381	67	18	caputo	caputo	PROPN
ejpam-6381	67	19	approach	approach	NOUN
ejpam-6381	67	20	of	of	ADP
ejpam-6381	67	21	a	a	DET
ejpam-6381	67	22	specific	specific	ADJ
ejpam-6381	67	23	order	order	NOUN
ejpam-6381	67	24	ν	ν	X
ejpam-6381	67	25	>	>	X
ejpam-6381	67	26	0	0	NUM
ejpam-6381	67	27	is	be	AUX
ejpam-6381	67	28	defined	define	VERB
ejpam-6381	67	29	as	as	ADP
ejpam-6381	67	30	:	:	PUNCT
ejpam-6381	67	31	cdν	cdν	NOUN
ejpam-6381	67	32	0,t(q(t	0,t(q(t	NOUN
ejpam-6381	67	33	)	)	PUNCT
ejpam-6381	67	34	)	)	PUNCT
ejpam-6381	68	1	=	=	SYM
ejpam-6381	68	2	1	1	NUM
ejpam-6381	68	3	γ(m−	γ(m−	PROPN
ejpam-6381	68	4	ν	ν	PROPN
ejpam-6381	68	5	)	)	PUNCT
ejpam-6381	68	6	∫	∫	PROPN
ejpam-6381	68	7	t	t	PROPN
ejpam-6381	68	8	0	0	NUM
ejpam-6381	68	9	(	(	PUNCT
ejpam-6381	68	10	t−	t−	PROPN
ejpam-6381	68	11	µ)m−ν−1q(m)(µ)dµ	µ)m−ν−1q(m)(µ)dµ	PROPN
ejpam-6381	68	12	,	,	PUNCT
ejpam-6381	68	13	t	t	X
ejpam-6381	68	14	>	>	X
ejpam-6381	68	15	0	0	PROPN
ejpam-6381	68	16	,	,	PUNCT
ejpam-6381	68	17	where	where	SCONJ
ejpam-6381	68	18	,	,	PUNCT
ejpam-6381	68	19	m−	m−	PROPN
ejpam-6381	68	20	1	1	NUM
ejpam-6381	68	21	<	<	X
ejpam-6381	68	22	ν	ν	X
ejpam-6381	68	23	≤	≤	PROPN
ejpam-6381	68	24	m	m	PROPN
ejpam-6381	68	25	,	,	PUNCT
ejpam-6381	68	26	andm	andm	PROPN
ejpam-6381	68	27	∈	∈	PROPN
ejpam-6381	68	28	n.	n.	NOUN
ejpam-6381	69	1	this	this	DET
ejpam-6381	69	2	caputo	caputo	PROPN
ejpam-6381	69	3	definition	definition	NOUN
ejpam-6381	69	4	is	be	AUX
ejpam-6381	69	5	tailored	tailor	VERB
ejpam-6381	69	6	to	to	PART
ejpam-6381	69	7	tackle	tackle	VERB
ejpam-6381	69	8	the	the	DET
ejpam-6381	69	9	difficulties	difficulty	NOUN
ejpam-6381	69	10	associated	associate	VERB
ejpam-6381	69	11	with	with	ADP
ejpam-6381	69	12	substituting	substitute	VERB
ejpam-6381	69	13	fractional	fractional	ADJ
ejpam-6381	69	14	-	-	PUNCT
ejpam-6381	69	15	order	order	NOUN
ejpam-6381	69	16	initial	initial	ADJ
ejpam-6381	69	17	conditions	condition	NOUN
ejpam-6381	69	18	using	use	VERB
ejpam-6381	69	19	the	the	DET
ejpam-6381	69	20	r	r	NOUN
ejpam-6381	69	21	-	-	PUNCT
ejpam-6381	69	22	l	l	NOUN
ejpam-6381	69	23	fractional	fractional	ADJ
ejpam-6381	69	24	differential	differential	NOUN
ejpam-6381	69	25	operator	operator	NOUN
ejpam-6381	69	26	in	in	ADP
ejpam-6381	69	27	practical	practical	ADJ
ejpam-6381	69	28	applications	application	NOUN
ejpam-6381	69	29	.	.	PUNCT
ejpam-6381	70	1	this	this	PRON
ejpam-6381	70	2	is	be	AUX
ejpam-6381	70	3	accomplished	accomplish	VERB
ejpam-6381	70	4	by	by	ADP
ejpam-6381	70	5	implementing	implement	VERB
ejpam-6381	70	6	standard	standard	ADJ
ejpam-6381	70	7	integer	integer	NOUN
ejpam-6381	70	8	-	-	PUNCT
ejpam-6381	70	9	order	order	NOUN
ejpam-6381	70	10	initial	initial	ADJ
ejpam-6381	70	11	conditions	condition	NOUN
ejpam-6381	70	12	,	,	PUNCT
ejpam-6381	70	13	thus	thus	ADV
ejpam-6381	70	14	removing	remove	VERB
ejpam-6381	70	15	the	the	DET
ejpam-6381	70	16	singular	singular	ADJ
ejpam-6381	70	17	kernel	kernel	NOUN
ejpam-6381	70	18	found	find	VERB
ejpam-6381	70	19	in	in	ADP
ejpam-6381	70	20	the	the	DET
ejpam-6381	70	21	r	r	NOUN
ejpam-6381	70	22	-	-	PUNCT
ejpam-6381	70	23	l	l	NOUN
ejpam-6381	70	24	definition	definition	NOUN
ejpam-6381	70	25	.	.	PUNCT
ejpam-6381	71	1	definition	definition	NOUN
ejpam-6381	71	2	4	4	NUM
ejpam-6381	71	3	:	:	PUNCT
ejpam-6381	72	1	[	[	X
ejpam-6381	72	2	44	44	NUM
ejpam-6381	72	3	]	]	PUNCT
ejpam-6381	72	4	a	a	DET
ejpam-6381	72	5	power	power	NOUN
ejpam-6381	72	6	series	series	NOUN
ejpam-6381	72	7	representation	representation	NOUN
ejpam-6381	72	8	of	of	ADP
ejpam-6381	72	9	the	the	DET
ejpam-6381	72	10	type	type	NOUN
ejpam-6381	72	11	∞∑	∞∑	PROPN
ejpam-6381	72	12	m=0	m=0	PROPN
ejpam-6381	72	13	dm(t−	dm(t−	PROPN
ejpam-6381	72	14	t0	t0	NOUN
ejpam-6381	72	15	)	)	PUNCT
ejpam-6381	72	16	mν	mν	ADV
ejpam-6381	72	17	=	=	PUNCT
ejpam-6381	72	18	d0	d0	PROPN
ejpam-6381	72	19	+	+	CCONJ
ejpam-6381	72	20	d1(t−	d1(t−	X
ejpam-6381	72	21	t0	t0	NOUN
ejpam-6381	72	22	)	)	PUNCT
ejpam-6381	73	1	ν	ν	PROPN
ejpam-6381	73	2	+	+	CCONJ
ejpam-6381	73	3	d2(t−	d2(t−	NOUN
ejpam-6381	73	4	t0	t0	NUM
ejpam-6381	73	5	)	)	PUNCT
ejpam-6381	73	6	2ν	2ν	NOUN
ejpam-6381	74	1	+	+	CCONJ
ejpam-6381	74	2	...	...	PUNCT
ejpam-6381	74	3	,	,	PUNCT
ejpam-6381	74	4	(	(	PUNCT
ejpam-6381	74	5	3	3	X
ejpam-6381	74	6	)	)	PUNCT
ejpam-6381	74	7	i.kadri	i.kadri	X
ejpam-6381	74	8	et	et	PROPN
ejpam-6381	74	9	al	al	PROPN
ejpam-6381	74	10	.	.	PUNCT
ejpam-6381	74	11	/	/	SYM
ejpam-6381	74	12	eur	eur	PROPN
ejpam-6381	74	13	.	.	PUNCT
ejpam-6381	75	1	j.	j.	PROPN
ejpam-6381	75	2	pure	pure	PROPN
ejpam-6381	75	3	appl	appl	PROPN
ejpam-6381	75	4	.	.	PROPN
ejpam-6381	75	5	math	math	PROPN
ejpam-6381	75	6	,	,	PUNCT
ejpam-6381	75	7	18	18	NUM
ejpam-6381	75	8	(	(	PUNCT
ejpam-6381	75	9	3	3	NUM
ejpam-6381	75	10	)	)	PUNCT
ejpam-6381	75	11	(	(	PUNCT
ejpam-6381	75	12	2025	2025	NUM
ejpam-6381	75	13	)	)	PUNCT
ejpam-6381	75	14	,	,	PUNCT
ejpam-6381	75	15	6381	6381	NUM
ejpam-6381	75	16	5	5	NUM
ejpam-6381	75	17	of	of	ADP
ejpam-6381	75	18	19	19	NUM
ejpam-6381	75	19	where	where	SCONJ
ejpam-6381	75	20	,	,	PUNCT
ejpam-6381	75	21	m	m	VERB
ejpam-6381	75	22	−	−	PROPN
ejpam-6381	75	23	1	1	NUM
ejpam-6381	75	24	<	<	X
ejpam-6381	75	25	ν	ν	X
ejpam-6381	75	26	≤	≤	NUM
ejpam-6381	75	27	m	m	PROPN
ejpam-6381	75	28	and	and	CCONJ
ejpam-6381	75	29	t	t	PROPN
ejpam-6381	75	30	≥	≥	PROPN
ejpam-6381	75	31	t0	t0	PROPN
ejpam-6381	75	32	is	be	AUX
ejpam-6381	75	33	called	call	VERB
ejpam-6381	75	34	fractional	fractional	ADJ
ejpam-6381	75	35	ps	ps	PROPN
ejpam-6381	75	36	about	about	ADP
ejpam-6381	75	37	t0	t0	PROPN
ejpam-6381	75	38	,	,	PUNCT
ejpam-6381	75	39	where	where	SCONJ
ejpam-6381	75	40	t	t	PROPN
ejpam-6381	75	41	denotes	denote	VERB
ejpam-6381	75	42	a	a	DET
ejpam-6381	75	43	variable	variable	NOUN
ejpam-6381	75	44	and	and	CCONJ
ejpam-6381	75	45	dm	dm	PROPN
ejpam-6381	75	46	represents	represent	VERB
ejpam-6381	75	47	constants	constant	NOUN
ejpam-6381	75	48	known	know	VERB
ejpam-6381	75	49	as	as	ADP
ejpam-6381	75	50	the	the	DET
ejpam-6381	75	51	coefficients	coefficient	NOUN
ejpam-6381	75	52	of	of	ADP
ejpam-6381	75	53	the	the	DET
ejpam-6381	75	54	series	series	NOUN
ejpam-6381	75	55	.	.	PUNCT
ejpam-6381	76	1	theorem	theorem	VERB
ejpam-6381	76	2	1	1	NUM
ejpam-6381	76	3	:	:	PUNCT
ejpam-6381	76	4	[	[	X
ejpam-6381	76	5	44	44	NUM
ejpam-6381	76	6	]	]	PUNCT
ejpam-6381	76	7	assume	assume	VERB
ejpam-6381	76	8	that	that	SCONJ
ejpam-6381	76	9	the	the	DET
ejpam-6381	76	10	function	function	NOUN
ejpam-6381	76	11	q	q	PROPN
ejpam-6381	76	12	possesses	possess	VERB
ejpam-6381	76	13	a	a	DET
ejpam-6381	76	14	fractional	fractional	ADJ
ejpam-6381	76	15	ps	ps	NOUN
ejpam-6381	76	16	representation	representation	NOUN
ejpam-6381	76	17	at	at	ADP
ejpam-6381	76	18	t	t	PROPN
ejpam-6381	76	19	=	=	SYM
ejpam-6381	76	20	t0	t0	PROPN
ejpam-6381	76	21	characterized	characterize	VERB
ejpam-6381	76	22	by	by	ADP
ejpam-6381	76	23	the	the	DET
ejpam-6381	76	24	following	follow	VERB
ejpam-6381	76	25	form	form	NOUN
ejpam-6381	76	26	:	:	PUNCT
ejpam-6381	76	27	q(t	q(t	X
ejpam-6381	76	28	)	)	PUNCT
ejpam-6381	76	29	=	=	PUNCT
ejpam-6381	77	1	∞∑	∞∑	NUM
ejpam-6381	77	2	m=0	m=0	PROPN
ejpam-6381	77	3	dm(t−	dm(t−	PROPN
ejpam-6381	77	4	t0	t0	PROPN
ejpam-6381	77	5	)	)	PUNCT
ejpam-6381	77	6	mν	mν	ADV
ejpam-6381	77	7	,	,	PUNCT
ejpam-6381	77	8	(	(	PUNCT
ejpam-6381	77	9	4	4	X
ejpam-6381	77	10	)	)	PUNCT
ejpam-6381	77	11	where	where	SCONJ
ejpam-6381	77	12	,	,	PUNCT
ejpam-6381	77	13	m−	m−	PROPN
ejpam-6381	77	14	1	1	NUM
ejpam-6381	77	15	<	<	X
ejpam-6381	77	16	ν	ν	X
ejpam-6381	77	17	≤	≤	NUM
ejpam-6381	77	18	m	m	PROPN
ejpam-6381	77	19	and	and	CCONJ
ejpam-6381	77	20	t0	t0	PROPN
ejpam-6381	77	21	≤	≤	PROPN
ejpam-6381	78	1	t	t	PROPN
ejpam-6381	78	2	<	<	X
ejpam-6381	78	3	t0	t0	PROPN
ejpam-6381	78	4	+	+	X
ejpam-6381	78	5	r.	r.	PROPN
ejpam-6381	78	6	if	if	SCONJ
ejpam-6381	78	7	the	the	DET
ejpam-6381	78	8	derivatives	derivative	NOUN
ejpam-6381	78	9	dmνq(t	dmνq(t	NOUN
ejpam-6381	78	10	)	)	PUNCT
ejpam-6381	78	11	are	be	AUX
ejpam-6381	78	12	continuous	continuous	ADJ
ejpam-6381	78	13	in	in	ADP
ejpam-6381	78	14	the	the	DET
ejpam-6381	78	15	interval	interval	NOUN
ejpam-6381	78	16	(	(	PUNCT
ejpam-6381	78	17	t0	t0	PROPN
ejpam-6381	78	18	,	,	PUNCT
ejpam-6381	78	19	t0	t0	PROPN
ejpam-6381	78	20	+	+	CCONJ
ejpam-6381	78	21	r	r	X
ejpam-6381	78	22	)	)	PUNCT
ejpam-6381	78	23	,	,	PUNCT
ejpam-6381	78	24	where	where	SCONJ
ejpam-6381	78	25	m	m	VERB
ejpam-6381	78	26	=	=	SYM
ejpam-6381	78	27	0	0	NUM
ejpam-6381	78	28	,	,	PUNCT
ejpam-6381	78	29	1	1	NUM
ejpam-6381	78	30	,	,	PUNCT
ejpam-6381	78	31	2	2	NUM
ejpam-6381	78	32	,	,	PUNCT
ejpam-6381	78	33	...	...	PUNCT
ejpam-6381	78	34	,	,	PUNCT
ejpam-6381	78	35	then	then	ADV
ejpam-6381	78	36	the	the	DET
ejpam-6381	78	37	coefficients	coefficient	NOUN
ejpam-6381	78	38	dm	dm	INTJ
ejpam-6381	78	39	of	of	ADP
ejpam-6381	78	40	eq	eq	PROPN
ejpam-6381	78	41	.	.	PUNCT
ejpam-6381	79	1	(	(	PUNCT
ejpam-6381	79	2	4	4	X
ejpam-6381	79	3	)	)	PUNCT
ejpam-6381	79	4	can	can	AUX
ejpam-6381	79	5	be	be	AUX
ejpam-6381	79	6	determined	determine	VERB
ejpam-6381	79	7	using	use	VERB
ejpam-6381	79	8	the	the	DET
ejpam-6381	79	9	following	follow	VERB
ejpam-6381	79	10	formula	formula	NOUN
ejpam-6381	79	11	:	:	PUNCT
ejpam-6381	79	12	dm	dm	PROPN
ejpam-6381	79	13	=	=	PUNCT
ejpam-6381	79	14	dmνq(t0	dmνq(t0	PROPN
ejpam-6381	79	15	)	)	PUNCT
ejpam-6381	80	1	γ(mν	γ(mν	PROPN
ejpam-6381	80	2	+	+	NOUN
ejpam-6381	80	3	1	1	NUM
ejpam-6381	80	4	)	)	PUNCT
ejpam-6381	80	5	,	,	PUNCT
ejpam-6381	80	6	(	(	PUNCT
ejpam-6381	80	7	5	5	X
ejpam-6381	80	8	)	)	PUNCT
ejpam-6381	80	9	where	where	SCONJ
ejpam-6381	80	10	,	,	PUNCT
ejpam-6381	80	11	dmν	dmν	NOUN
ejpam-6381	80	12	=	=	SYM
ejpam-6381	80	13	dνdν	dνdν	NOUN
ejpam-6381	80	14	·	·	PUNCT
ejpam-6381	80	15	·	·	PUNCT
ejpam-6381	80	16	·	·	PUNCT
ejpam-6381	80	17	dν	dν	VERB
ejpam-6381	80	18	(	(	PUNCT
ejpam-6381	80	19	m	m	NOUN
ejpam-6381	80	20	-	-	PUNCT
ejpam-6381	80	21	times	time	NOUN
ejpam-6381	80	22	)	)	PUNCT
ejpam-6381	80	23	and	and	CCONJ
ejpam-6381	80	24	r	r	NOUN
ejpam-6381	80	25	denotes	denote	VERB
ejpam-6381	80	26	the	the	DET
ejpam-6381	80	27	radius	radius	NOUN
ejpam-6381	80	28	of	of	ADP
ejpam-6381	80	29	convergence	convergence	NOUN
ejpam-6381	80	30	.	.	PUNCT
ejpam-6381	81	1	definition	definition	NOUN
ejpam-6381	81	2	5	5	NUM
ejpam-6381	81	3	:	:	PUNCT
ejpam-6381	81	4	[	[	X
ejpam-6381	81	5	44	44	NUM
ejpam-6381	81	6	]	]	PUNCT
ejpam-6381	81	7	for	for	ADP
ejpam-6381	81	8	m−	m−	PROPN
ejpam-6381	81	9	1	1	NUM
ejpam-6381	81	10	<	<	X
ejpam-6381	81	11	ν	ν	X
ejpam-6381	81	12	≤	≤	PROPN
ejpam-6381	81	13	m	m	PROPN
ejpam-6381	81	14	,	,	PUNCT
ejpam-6381	81	15	a	a	DET
ejpam-6381	81	16	power	power	NOUN
ejpam-6381	81	17	series	series	NOUN
ejpam-6381	81	18	representation	representation	NOUN
ejpam-6381	81	19	of	of	ADP
ejpam-6381	81	20	the	the	DET
ejpam-6381	81	21	type	type	NOUN
ejpam-6381	81	22	∞∑	∞∑	PROPN
ejpam-6381	81	23	m=0	m=0	PROPN
ejpam-6381	81	24	qm(x)(t−	qm(x)(t−	PROPN
ejpam-6381	81	25	t0	t0	PROPN
ejpam-6381	81	26	)	)	PUNCT
ejpam-6381	82	1	mν	mν	PROPN
ejpam-6381	82	2	=	=	SYM
ejpam-6381	82	3	q0(x	q0(x	PROPN
ejpam-6381	82	4	)	)	PUNCT
ejpam-6381	82	5	+	+	PROPN
ejpam-6381	82	6	q1(x)(t−	q1(x)(t−	PROPN
ejpam-6381	82	7	t0	t0	NOUN
ejpam-6381	82	8	)	)	PUNCT
ejpam-6381	83	1	ν	ν	X
ejpam-6381	83	2	+	+	PROPN
ejpam-6381	83	3	q2(x)(t−	q2(x)(t−	PROPN
ejpam-6381	83	4	t0	t0	NOUN
ejpam-6381	83	5	)	)	PUNCT
ejpam-6381	83	6	2ν	2ν	NOUN
ejpam-6381	84	1	+	+	CCONJ
ejpam-6381	84	2	...	...	PUNCT
ejpam-6381	84	3	,	,	PUNCT
ejpam-6381	84	4	(	(	PUNCT
ejpam-6381	84	5	6	6	X
ejpam-6381	84	6	)	)	PUNCT
ejpam-6381	84	7	this	this	PRON
ejpam-6381	84	8	is	be	AUX
ejpam-6381	84	9	referred	refer	VERB
ejpam-6381	84	10	to	to	ADP
ejpam-6381	84	11	as	as	SCONJ
ejpam-6381	84	12	a	a	DET
ejpam-6381	84	13	multiple	multiple	ADJ
ejpam-6381	84	14	fractional	fractional	ADJ
ejpam-6381	84	15	ps	ps	NOUN
ejpam-6381	84	16	centered	center	VERB
ejpam-6381	84	17	at	at	ADP
ejpam-6381	84	18	t	t	PROPN
ejpam-6381	84	19	=	=	SYM
ejpam-6381	84	20	t0	t0	PROPN
ejpam-6381	84	21	,	,	PUNCT
ejpam-6381	84	22	where	where	SCONJ
ejpam-6381	84	23	t	t	PROPN
ejpam-6381	84	24	represents	represent	VERB
ejpam-6381	84	25	a	a	DET
ejpam-6381	84	26	variable	variable	NOUN
ejpam-6381	84	27	and	and	CCONJ
ejpam-6381	84	28	qm(x	qm(x	NOUN
ejpam-6381	84	29	)	)	PUNCT
ejpam-6381	84	30	denotes	denote	VERB
ejpam-6381	84	31	the	the	DET
ejpam-6381	84	32	functions	function	NOUN
ejpam-6381	84	33	of	of	ADP
ejpam-6381	84	34	x	x	PUNCT
ejpam-6381	84	35	which	which	PRON
ejpam-6381	84	36	are	be	AUX
ejpam-6381	84	37	known	know	VERB
ejpam-6381	84	38	as	as	ADP
ejpam-6381	84	39	the	the	DET
ejpam-6381	84	40	coefficients	coefficient	NOUN
ejpam-6381	84	41	of	of	ADP
ejpam-6381	84	42	the	the	DET
ejpam-6381	84	43	series	series	NOUN
ejpam-6381	84	44	.	.	PUNCT
ejpam-6381	85	1	3	3	X
ejpam-6381	85	2	.	.	X
ejpam-6381	85	3	numerical	numerical	ADJ
ejpam-6381	85	4	scheme	scheme	NOUN
ejpam-6381	85	5	for	for	ADP
ejpam-6381	85	6	the	the	DET
ejpam-6381	85	7	fractional	fractional	ADJ
ejpam-6381	85	8	-	-	PUNCT
ejpam-6381	85	9	order	order	NOUN
ejpam-6381	85	10	4d	4d	NUM
ejpam-6381	85	11	system	system	NOUN
ejpam-6381	85	12	with	with	ADP
ejpam-6381	85	13	caputo	caputo	PROPN
ejpam-6381	85	14	derivative	derivative	NOUN
ejpam-6381	85	15	in	in	ADP
ejpam-6381	85	16	this	this	DET
ejpam-6381	85	17	part	part	NOUN
ejpam-6381	85	18	,	,	PUNCT
ejpam-6381	85	19	we	we	PRON
ejpam-6381	85	20	present	present	VERB
ejpam-6381	85	21	an	an	DET
ejpam-6381	85	22	approximate	approximate	ADJ
ejpam-6381	85	23	solution	solution	NOUN
ejpam-6381	85	24	for	for	ADP
ejpam-6381	85	25	the	the	DET
ejpam-6381	85	26	model	model	NOUN
ejpam-6381	85	27	under	under	ADP
ejpam-6381	85	28	the	the	DET
ejpam-6381	85	29	fractional	fractional	PROPN
ejpam-6381	85	30	caputo	caputo	PROPN
ejpam-6381	85	31	–	–	PUNCT
ejpam-6381	85	32	fabrizio	fabrizio	NOUN
ejpam-6381	85	33	operator	operator	NOUN
ejpam-6381	85	34	employing	employ	VERB
ejpam-6381	85	35	a	a	DET
ejpam-6381	85	36	highly	highly	ADV
ejpam-6381	85	37	effective	effective	ADJ
ejpam-6381	85	38	numerical	numerical	ADJ
ejpam-6381	85	39	approach	approach	NOUN
ejpam-6381	85	40	[	[	X
ejpam-6381	85	41	45	45	NUM
ejpam-6381	85	42	]	]	PUNCT
ejpam-6381	85	43	.	.	PUNCT
ejpam-6381	86	1	the	the	DET
ejpam-6381	86	2	governing	govern	VERB
ejpam-6381	86	3	equations	equation	NOUN
ejpam-6381	86	4	are	be	AUX
ejpam-6381	86	5	given	give	VERB
ejpam-6381	86	6	as	as	ADP
ejpam-6381	86	7	:	:	PUNCT
ejpam-6381	86	8	∗dν	∗dν	PUNCT
ejpam-6381	86	9	0,tq(t	0,tq(t	PROPN
ejpam-6381	86	10	)	)	PUNCT
ejpam-6381	87	1	=	=	SYM
ejpam-6381	87	2	f	f	PROPN
ejpam-6381	87	3	(	(	PUNCT
ejpam-6381	87	4	q(t	q(t	PROPN
ejpam-6381	87	5	)	)	PUNCT
ejpam-6381	87	6	)	)	PUNCT
ejpam-6381	87	7	,	,	PUNCT
ejpam-6381	87	8	t	t	PROPN
ejpam-6381	87	9	∈	∈	PROPN
ejpam-6381	88	1	[	[	X
ejpam-6381	88	2	0	0	NUM
ejpam-6381	88	3	,	,	PUNCT
ejpam-6381	88	4	a	a	PRON
ejpam-6381	88	5	]	]	X
ejpam-6381	88	6	,	,	PUNCT
ejpam-6381	88	7	q(0	q(0	PROPN
ejpam-6381	88	8	)	)	PUNCT
ejpam-6381	88	9	=	=	SYM
ejpam-6381	89	1	q0	q0	PROPN
ejpam-6381	89	2	,	,	PUNCT
ejpam-6381	89	3	(	(	PUNCT
ejpam-6381	89	4	7	7	NUM
ejpam-6381	89	5	)	)	PUNCT
ejpam-6381	89	6	where	where	SCONJ
ejpam-6381	89	7	,	,	PUNCT
ejpam-6381	89	8	q	q	X
ejpam-6381	89	9	=	=	SYM
ejpam-6381	89	10	(	(	PUNCT
ejpam-6381	89	11	x1	x1	PROPN
ejpam-6381	89	12	,	,	PUNCT
ejpam-6381	89	13	y	y	PROPN
ejpam-6381	89	14	,	,	PUNCT
ejpam-6381	89	15	z	z	NOUN
ejpam-6381	89	16	)	)	PUNCT
ejpam-6381	89	17	∈	∈	PROPN
ejpam-6381	89	18	r3	r3	PROPN
ejpam-6381	89	19	+	+	ADP
ejpam-6381	89	20	,	,	PUNCT
ejpam-6381	89	21	and	and	CCONJ
ejpam-6381	89	22	the	the	DET
ejpam-6381	89	23	function	function	NOUN
ejpam-6381	89	24	f	f	PROPN
ejpam-6381	89	25	(	(	PUNCT
ejpam-6381	89	26	q	q	X
ejpam-6381	89	27	)	)	PUNCT
ejpam-6381	89	28	meets	meet	VERB
ejpam-6381	89	29	the	the	DET
ejpam-6381	89	30	lipschitz	lipschitz	NOUN
ejpam-6381	89	31	condition	condition	NOUN
ejpam-6381	89	32	:	:	PUNCT
ejpam-6381	90	1	∥f	∥f	PROPN
ejpam-6381	90	2	(	(	PUNCT
ejpam-6381	90	3	q1(t))−	q1(t))−	PROPN
ejpam-6381	90	4	f	f	PROPN
ejpam-6381	90	5	(	(	PUNCT
ejpam-6381	90	6	q2(t))∥	q2(t))∥	VERB
ejpam-6381	90	7	≤	≤	PROPN
ejpam-6381	90	8	k∥q1(t)−q2(t)∥	k∥q1(t)−q2(t)∥	NOUN
ejpam-6381	90	9	,	,	PUNCT
ejpam-6381	90	10	(	(	PUNCT
ejpam-6381	90	11	8)	8)	NUM
ejpam-6381	90	12	with	with	ADP
ejpam-6381	90	13	k	k	PROPN
ejpam-6381	90	14	>	>	X
ejpam-6381	90	15	0	0	PUNCT
ejpam-6381	90	16	as	as	ADP
ejpam-6381	90	17	a	a	DET
ejpam-6381	90	18	lipschitz	lipschitz	NOUN
ejpam-6381	90	19	constant	constant	ADJ
ejpam-6381	90	20	.	.	PUNCT
ejpam-6381	91	1	from	from	ADP
ejpam-6381	91	2	equation	equation	NOUN
ejpam-6381	91	3	(	(	PUNCT
ejpam-6381	91	4	7	7	NUM
ejpam-6381	91	5	)	)	PUNCT
ejpam-6381	91	6	,	,	PUNCT
ejpam-6381	91	7	we	we	PRON
ejpam-6381	91	8	can	can	AUX
ejpam-6381	91	9	express	express	VERB
ejpam-6381	91	10	the	the	DET
ejpam-6381	91	11	solution	solution	NOUN
ejpam-6381	91	12	as	as	ADP
ejpam-6381	91	13	:	:	PUNCT
ejpam-6381	91	14	q(t	q(t	X
ejpam-6381	91	15	)	)	PUNCT
ejpam-6381	91	16	=	=	VERB
ejpam-6381	92	1	q0	q0	NOUN
ejpam-6381	93	1	+	+	CCONJ
ejpam-6381	93	2	0j	0j	NOUN
ejpam-6381	93	3	ν	ν	X
ejpam-6381	93	4	t	t	PROPN
ejpam-6381	93	5	f	f	X
ejpam-6381	93	6	(	(	PUNCT
ejpam-6381	93	7	q(t	q(t	PROPN
ejpam-6381	93	8	)	)	PUNCT
ejpam-6381	93	9	)	)	PUNCT
ejpam-6381	93	10	,	,	PUNCT
ejpam-6381	93	11	t	t	PROPN
ejpam-6381	93	12	∈	∈	PROPN
ejpam-6381	94	1	[	[	X
ejpam-6381	94	2	0	0	NUM
ejpam-6381	94	3	,	,	PUNCT
ejpam-6381	94	4	a	a	PRON
ejpam-6381	94	5	]	]	X
ejpam-6381	94	6	,	,	PUNCT
ejpam-6381	94	7	(	(	PUNCT
ejpam-6381	94	8	9	9	NUM
ejpam-6381	94	9	)	)	PUNCT
ejpam-6381	94	10	where	where	SCONJ
ejpam-6381	94	11	,	,	PUNCT
ejpam-6381	94	12	0j	0j	NOUN
ejpam-6381	94	13	ν	ν	X
ejpam-6381	94	14	t	t	PROPN
ejpam-6381	94	15	is	be	AUX
ejpam-6381	94	16	the	the	DET
ejpam-6381	94	17	fractional	fractional	ADJ
ejpam-6381	94	18	integral	integral	ADJ
ejpam-6381	94	19	operator	operator	NOUN
ejpam-6381	94	20	derived	derive	VERB
ejpam-6381	94	21	from	from	ADP
ejpam-6381	94	22	the	the	DET
ejpam-6381	94	23	caputo	caputo	PROPN
ejpam-6381	94	24	operators	operators	PROPN
ejpam-6381	94	25	.	.	PUNCT
ejpam-6381	95	1	consider	consider	VERB
ejpam-6381	95	2	the	the	DET
ejpam-6381	95	3	interval	interval	NOUN
ejpam-6381	95	4	[	[	X
ejpam-6381	95	5	0	0	NUM
ejpam-6381	95	6	,	,	PUNCT
ejpam-6381	95	7	a	a	PRON
ejpam-6381	95	8	]	]	X
ejpam-6381	95	9	divided	divide	VERB
ejpam-6381	95	10	into	into	ADP
ejpam-6381	95	11	n	n	CCONJ
ejpam-6381	95	12	equal	equal	ADJ
ejpam-6381	95	13	parts	part	NOUN
ejpam-6381	95	14	with	with	ADP
ejpam-6381	95	15	step	step	NOUN
ejpam-6381	95	16	length	length	NOUN
ejpam-6381	95	17	∆t	∆t	PROPN
ejpam-6381	95	18	=	=	PUNCT
ejpam-6381	95	19	a	a	DET
ejpam-6381	95	20	n	n	CCONJ
ejpam-6381	95	21	(	(	PUNCT
ejpam-6381	95	22	e.g.	e.g.	ADV
ejpam-6381	95	23	,	,	PUNCT
ejpam-6381	95	24	∆t	∆t	PROPN
ejpam-6381	95	25	=	=	SYM
ejpam-6381	95	26	0.05	0.05	NUM
ejpam-6381	95	27	in	in	ADP
ejpam-6381	95	28	simulations	simulation	NOUN
ejpam-6381	95	29	)	)	PUNCT
ejpam-6381	95	30	.	.	PUNCT
ejpam-6381	96	1	let	let	VERB
ejpam-6381	96	2	x1r	x1r	PRON
ejpam-6381	96	3	be	be	AUX
ejpam-6381	96	4	the	the	DET
ejpam-6381	96	5	approximation	approximation	NOUN
ejpam-6381	96	6	of	of	ADP
ejpam-6381	96	7	x1(t	x1(t	PROPN
ejpam-6381	96	8	)	)	PUNCT
ejpam-6381	96	9	in	in	ADP
ejpam-6381	96	10	t	t	PROPN
ejpam-6381	96	11	=	=	PUNCT
ejpam-6381	96	12	tr	tr	VERB
ejpam-6381	96	13	,	,	PUNCT
ejpam-6381	96	14	where	where	SCONJ
ejpam-6381	96	15	r	r	NOUN
ejpam-6381	96	16	=	=	SYM
ejpam-6381	96	17	i.kadri	i.kadri	X
ejpam-6381	96	18	et	et	PROPN
ejpam-6381	96	19	al	al	PROPN
ejpam-6381	96	20	.	.	PUNCT
ejpam-6381	96	21	/	/	SYM
ejpam-6381	96	22	eur	eur	PROPN
ejpam-6381	96	23	.	.	PUNCT
ejpam-6381	97	1	j.	j.	PROPN
ejpam-6381	97	2	pure	pure	PROPN
ejpam-6381	97	3	appl	appl	PROPN
ejpam-6381	97	4	.	.	PROPN
ejpam-6381	97	5	math	math	PROPN
ejpam-6381	97	6	,	,	PUNCT
ejpam-6381	97	7	18	18	NUM
ejpam-6381	97	8	(	(	PUNCT
ejpam-6381	97	9	3	3	NUM
ejpam-6381	97	10	)	)	PUNCT
ejpam-6381	97	11	(	(	PUNCT
ejpam-6381	97	12	2025	2025	NUM
ejpam-6381	97	13	)	)	PUNCT
ejpam-6381	97	14	,	,	PUNCT
ejpam-6381	97	15	6381	6381	NUM
ejpam-6381	97	16	6	6	NUM
ejpam-6381	97	17	of	of	ADP
ejpam-6381	97	18	19	19	NUM
ejpam-6381	97	19	0	0	NUM
ejpam-6381	97	20	,	,	PUNCT
ejpam-6381	97	21	1	1	NUM
ejpam-6381	97	22	,	,	PUNCT
ejpam-6381	97	23	.	.	PUNCT
ejpam-6381	97	24	.	.	PUNCT
ejpam-6381	98	1	.	.	PUNCT
ejpam-6381	99	1	,	,	PUNCT
ejpam-6381	99	2	n.	n.	NOUN
ejpam-6381	99	3	using	use	VERB
ejpam-6381	99	4	finite	finite	ADJ
ejpam-6381	99	5	differences	difference	NOUN
ejpam-6381	99	6	,	,	PUNCT
ejpam-6381	99	7	the	the	DET
ejpam-6381	99	8	numerical	numerical	ADJ
ejpam-6381	99	9	scheme	scheme	NOUN
ejpam-6381	99	10	for	for	ADP
ejpam-6381	99	11	equation	equation	NOUN
ejpam-6381	99	12	(	(	PUNCT
ejpam-6381	99	13	7	7	X
ejpam-6381	99	14	)	)	PUNCT
ejpam-6381	99	15	is	be	AUX
ejpam-6381	99	16	formulated	formulate	VERB
ejpam-6381	99	17	as	as	ADP
ejpam-6381	99	18	:	:	PUNCT
ejpam-6381	99	19	cx1r+1	cx1r+1	NOUN
ejpam-6381	99	20	=	=	NOUN
ejpam-6381	99	21	x10	x10	NOUN
ejpam-6381	100	1	+	+	CCONJ
ejpam-6381	100	2	(	(	PUNCT
ejpam-6381	100	3	∆t)ω	∆t)ω	PROPN
ejpam-6381	100	4	γ(ω	γ(ω	PROPN
ejpam-6381	100	5	+	+	CCONJ
ejpam-6381	100	6	1	1	X
ejpam-6381	100	7	)	)	PUNCT
ejpam-6381	100	8	r∑	r∑	NOUN
ejpam-6381	100	9	k=0	k=0	PUNCT
ejpam-6381	101	1	[	[	X
ejpam-6381	101	2	(	(	PUNCT
ejpam-6381	101	3	1	1	NUM
ejpam-6381	101	4	+	+	NUM
ejpam-6381	101	5	r	r	NOUN
ejpam-6381	101	6	−	−	NOUN
ejpam-6381	101	7	k)ω	k)ω	NOUN
ejpam-6381	101	8	−	−	PROPN
ejpam-6381	102	1	(	(	PUNCT
ejpam-6381	102	2	r	r	NOUN
ejpam-6381	102	3	−	−	PROPN
ejpam-6381	102	4	k)ω]f	k)ω]f	NOUN
ejpam-6381	102	5	(	(	PUNCT
ejpam-6381	102	6	x1k	x1k	X
ejpam-6381	102	7	)	)	PUNCT
ejpam-6381	103	1	+	+	VERB
ejpam-6381	103	2	o(∆t2	o(∆t2	ADJ
ejpam-6381	103	3	)	)	PUNCT
ejpam-6381	103	4	,	,	PUNCT
ejpam-6381	103	5	(	(	PUNCT
ejpam-6381	103	6	10	10	NUM
ejpam-6381	103	7	)	)	PUNCT
ejpam-6381	103	8	where	where	SCONJ
ejpam-6381	103	9	,	,	PUNCT
ejpam-6381	103	10	o(∆t2	o(∆t2	ADJ
ejpam-6381	103	11	)	)	PUNCT
ejpam-6381	103	12	is	be	AUX
ejpam-6381	103	13	the	the	DET
ejpam-6381	103	14	order	order	NOUN
ejpam-6381	103	15	of	of	ADP
ejpam-6381	103	16	approximation	approximation	NOUN
ejpam-6381	103	17	accuracy	accuracy	NOUN
ejpam-6381	103	18	.	.	PUNCT
ejpam-6381	104	1	4	4	X
ejpam-6381	104	2	.	.	X
ejpam-6381	104	3	impact	impact	NOUN
ejpam-6381	104	4	of	of	ADP
ejpam-6381	104	5	fractional	fractional	ADJ
ejpam-6381	104	6	order	order	NOUN
ejpam-6381	104	7	on	on	ADP
ejpam-6381	104	8	the	the	DET
ejpam-6381	104	9	dynamics	dynamic	NOUN
ejpam-6381	104	10	of	of	ADP
ejpam-6381	104	11	chaotic	chaotic	ADJ
ejpam-6381	104	12	systems	system	NOUN
ejpam-6381	104	13	via	via	ADP
ejpam-6381	104	14	cfd	cfd	NOUN
ejpam-6381	104	15	in	in	ADP
ejpam-6381	104	16	this	this	DET
ejpam-6381	104	17	part	part	NOUN
ejpam-6381	104	18	,	,	PUNCT
ejpam-6381	104	19	we	we	PRON
ejpam-6381	104	20	analyze	analyze	VERB
ejpam-6381	104	21	how	how	SCONJ
ejpam-6381	104	22	the	the	DET
ejpam-6381	104	23	parameter	parameter	NOUN
ejpam-6381	104	24	ν	ν	PROPN
ejpam-6381	104	25	influences	influence	VERB
ejpam-6381	104	26	the	the	DET
ejpam-6381	104	27	behavior	behavior	NOUN
ejpam-6381	104	28	of	of	ADP
ejpam-6381	104	29	the	the	DET
ejpam-6381	104	30	system	system	NOUN
ejpam-6381	104	31	,	,	PUNCT
ejpam-6381	104	32	as	as	SCONJ
ejpam-6381	104	33	illustrated	illustrate	VERB
ejpam-6381	104	34	in	in	ADP
ejpam-6381	104	35	the	the	DET
ejpam-6381	104	36	figures	figure	NOUN
ejpam-6381	104	37	1	1	NUM
ejpam-6381	104	38	,	,	PUNCT
ejpam-6381	104	39	2	2	NUM
ejpam-6381	104	40	,	,	PUNCT
ejpam-6381	104	41	and	and	CCONJ
ejpam-6381	104	42	3	3	X
ejpam-6381	104	43	.	.	PUNCT
ejpam-6381	105	1	using	use	VERB
ejpam-6381	105	2	the	the	DET
ejpam-6381	105	3	caputo	caputo	PROPN
ejpam-6381	105	4	fractional	fractional	PROPN
ejpam-6381	105	5	derivative	derivative	PROPN
ejpam-6381	105	6	,	,	PUNCT
ejpam-6381	105	7	plots	plot	NOUN
ejpam-6381	105	8	show	show	VERB
ejpam-6381	105	9	how	how	SCONJ
ejpam-6381	105	10	the	the	DET
ejpam-6381	105	11	system	system	NOUN
ejpam-6381	105	12	changes	change	VERB
ejpam-6381	105	13	as	as	SCONJ
ejpam-6381	105	14	the	the	DET
ejpam-6381	105	15	fractional	fractional	ADJ
ejpam-6381	105	16	order	order	NOUN
ejpam-6381	105	17	parameter	parameter	NOUN
ejpam-6381	105	18	α	α	PROPN
ejpam-6381	105	19	takes	take	VERB
ejpam-6381	105	20	on	on	ADP
ejpam-6381	105	21	different	different	ADJ
ejpam-6381	105	22	values	value	NOUN
ejpam-6381	105	23	,	,	PUNCT
ejpam-6381	105	24	showing	show	VERB
ejpam-6381	105	25	that	that	SCONJ
ejpam-6381	105	26	it	it	PRON
ejpam-6381	105	27	does	do	AUX
ejpam-6381	105	28	have	have	VERB
ejpam-6381	105	29	an	an	DET
ejpam-6381	105	30	effect	effect	NOUN
ejpam-6381	105	31	on	on	ADP
ejpam-6381	105	32	how	how	SCONJ
ejpam-6381	105	33	the	the	DET
ejpam-6381	105	34	system	system	NOUN
ejpam-6381	105	35	behaves	behave	VERB
ejpam-6381	105	36	.	.	PUNCT
ejpam-6381	106	1	from	from	ADP
ejpam-6381	106	2	figure	figure	NOUN
ejpam-6381	106	3	1	1	NUM
ejpam-6381	106	4	,	,	PUNCT
ejpam-6381	106	5	for	for	ADP
ejpam-6381	106	6	ν	ν	NOUN
ejpam-6381	106	7	=	=	SYM
ejpam-6381	106	8	1	1	NUM
ejpam-6381	106	9	,	,	PUNCT
ejpam-6381	106	10	the	the	DET
ejpam-6381	106	11	system	system	NOUN
ejpam-6381	106	12	provides	provide	VERB
ejpam-6381	106	13	classical	classical	ADJ
ejpam-6381	106	14	chaotic	chaotic	ADJ
ejpam-6381	106	15	dynamics	dynamic	NOUN
ejpam-6381	106	16	for	for	ADP
ejpam-6381	106	17	integer	integer	NOUN
ejpam-6381	106	18	-	-	PUNCT
ejpam-6381	106	19	order	order	NOUN
ejpam-6381	106	20	derivatives	derivative	NOUN
ejpam-6381	106	21	with	with	ADP
ejpam-6381	106	22	densely	densely	ADV
ejpam-6381	106	23	structured	structured	ADJ
ejpam-6381	106	24	trajectories	trajectory	NOUN
ejpam-6381	106	25	in	in	ADP
ejpam-6381	106	26	the	the	DET
ejpam-6381	106	27	phase	phase	NOUN
ejpam-6381	106	28	space	space	NOUN
ejpam-6381	106	29	and	and	CCONJ
ejpam-6381	106	30	the	the	DET
ejpam-6381	106	31	states	state	NOUN
ejpam-6381	106	32	(	(	PUNCT
ejpam-6381	106	33	x1	x1	PROPN
ejpam-6381	106	34	,	,	PUNCT
ejpam-6381	106	35	x2	x2	PROPN
ejpam-6381	106	36	,	,	PUNCT
ejpam-6381	106	37	x3	x3	ADJ
ejpam-6381	106	38	)	)	PUNCT
ejpam-6381	106	39	exhibiting	exhibit	VERB
ejpam-6381	106	40	strong	strong	ADJ
ejpam-6381	106	41	oscillation	oscillation	NOUN
ejpam-6381	106	42	activity	activity	NOUN
ejpam-6381	106	43	but	but	CCONJ
ejpam-6381	106	44	no	no	DET
ejpam-6381	106	45	fading	fade	VERB
ejpam-6381	106	46	out	out	ADP
ejpam-6381	106	47	in	in	ADP
ejpam-6381	106	48	the	the	DET
ejpam-6381	106	49	time	time	NOUN
ejpam-6381	106	50	series	series	NOUN
ejpam-6381	106	51	.	.	PUNCT
ejpam-6381	107	1	lowering	lower	VERB
ejpam-6381	107	2	ν	ν	NOUN
ejpam-6381	107	3	to	to	ADP
ejpam-6381	107	4	0.99	0.99	NUM
ejpam-6381	107	5	in	in	ADP
ejpam-6381	107	6	figure	figure	NOUN
ejpam-6381	107	7	2	2	NUM
ejpam-6381	107	8	;	;	PUNCT
ejpam-6381	107	9	adds	add	VERB
ejpam-6381	107	10	a	a	DET
ejpam-6381	107	11	fractional	fractional	ADJ
ejpam-6381	107	12	-	-	PUNCT
ejpam-6381	107	13	order	order	NOUN
ejpam-6381	107	14	component	component	NOUN
ejpam-6381	107	15	,	,	PUNCT
ejpam-6381	107	16	hence	hence	ADV
ejpam-6381	107	17	lowering	lower	VERB
ejpam-6381	107	18	the	the	DET
ejpam-6381	107	19	system	system	NOUN
ejpam-6381	107	20	’s	’s	PART
ejpam-6381	107	21	chaos	chaos	NOUN
ejpam-6381	107	22	with	with	ADP
ejpam-6381	107	23	more	more	ADV
ejpam-6381	107	24	organized	organize	VERB
ejpam-6381	107	25	phase	phase	NOUN
ejpam-6381	107	26	space	space	NOUN
ejpam-6381	107	27	trajectories	trajectory	NOUN
ejpam-6381	107	28	.	.	PUNCT
ejpam-6381	108	1	the	the	DET
ejpam-6381	108	2	time	time	NOUN
ejpam-6381	108	3	series	series	PROPN
ejpam-6381	108	4	plots	plot	NOUN
ejpam-6381	108	5	have	have	VERB
ejpam-6381	108	6	little	little	ADJ
ejpam-6381	108	7	damping	damp	VERB
ejpam-6381	108	8	of	of	ADP
ejpam-6381	108	9	the	the	DET
ejpam-6381	108	10	oscillations	oscillation	NOUN
ejpam-6381	108	11	,	,	PUNCT
ejpam-6381	108	12	showing	show	VERB
ejpam-6381	108	13	early	early	ADJ
ejpam-6381	108	14	energy	energy	NOUN
ejpam-6381	108	15	dissipation	dissipation	NOUN
ejpam-6381	108	16	.	.	PUNCT
ejpam-6381	109	1	an	an	DET
ejpam-6381	109	2	even	even	ADV
ejpam-6381	109	3	smaller	small	ADJ
ejpam-6381	109	4	attractor	attractor	NOUN
ejpam-6381	109	5	is	be	AUX
ejpam-6381	109	6	formed	form	VERB
ejpam-6381	109	7	by	by	ADP
ejpam-6381	109	8	further	far	ADV
ejpam-6381	109	9	lowering	lower	VERB
ejpam-6381	109	10	alpha	alpha	NOUN
ejpam-6381	109	11	to	to	ADP
ejpam-6381	109	12	0.95	0.95	NUM
ejpam-6381	109	13	in	in	ADP
ejpam-6381	109	14	figure	figure	NOUN
ejpam-6381	109	15	3	3	NUM
ejpam-6381	109	16	;	;	PUNCT
ejpam-6381	109	17	this	this	PRON
ejpam-6381	109	18	shows	show	VERB
ejpam-6381	109	19	a	a	DET
ejpam-6381	109	20	significant	significant	ADJ
ejpam-6381	109	21	reduction	reduction	NOUN
ejpam-6381	109	22	in	in	ADP
ejpam-6381	109	23	chaotic	chaotic	ADJ
ejpam-6381	109	24	behavior	behavior	NOUN
ejpam-6381	109	25	.	.	PUNCT
ejpam-6381	110	1	where	where	SCONJ
ejpam-6381	110	2	the	the	DET
ejpam-6381	110	3	oscillations	oscillation	NOUN
ejpam-6381	110	4	of	of	ADP
ejpam-6381	110	5	x1	x1	PROPN
ejpam-6381	110	6	,	,	PUNCT
ejpam-6381	110	7	x2	x2	PROPN
ejpam-6381	110	8	,	,	PUNCT
ejpam-6381	110	9	x3	x3	ADJ
ejpam-6381	110	10	decrease	decrease	NOUN
ejpam-6381	110	11	with	with	ADP
ejpam-6381	110	12	time	time	NOUN
ejpam-6381	110	13	significantly	significantly	ADV
ejpam-6381	110	14	,	,	PUNCT
ejpam-6381	110	15	showing	show	VERB
ejpam-6381	110	16	a	a	DET
ejpam-6381	110	17	trend	trend	NOUN
ejpam-6381	110	18	towards	towards	ADP
ejpam-6381	110	19	stability	stability	NOUN
ejpam-6381	110	20	,	,	PUNCT
ejpam-6381	110	21	the	the	DET
ejpam-6381	110	22	damping	damp	VERB
ejpam-6381	110	23	is	be	AUX
ejpam-6381	110	24	evident	evident	ADJ
ejpam-6381	110	25	even	even	ADV
ejpam-6381	110	26	in	in	ADP
ejpam-6381	110	27	the	the	DET
ejpam-6381	110	28	time	time	NOUN
ejpam-6381	110	29	-	-	PUNCT
ejpam-6381	110	30	series	series	NOUN
ejpam-6381	110	31	plots	plot	NOUN
ejpam-6381	110	32	.	.	PUNCT
ejpam-6381	111	1	overall	overall	ADV
ejpam-6381	111	2	,	,	PUNCT
ejpam-6381	111	3	the	the	DET
ejpam-6381	111	4	plots	plot	NOUN
ejpam-6381	111	5	show	show	VERB
ejpam-6381	111	6	that	that	SCONJ
ejpam-6381	111	7	lowering	lower	VERB
ejpam-6381	111	8	ν	ν	ADP
ejpam-6381	111	9	shifts	shift	NOUN
ejpam-6381	111	10	the	the	DET
ejpam-6381	111	11	system	system	NOUN
ejpam-6381	111	12	from	from	ADP
ejpam-6381	111	13	a	a	DET
ejpam-6381	111	14	state	state	NOUN
ejpam-6381	111	15	characterized	characterize	VERB
ejpam-6381	111	16	by	by	ADP
ejpam-6381	111	17	classical	classical	ADJ
ejpam-6381	111	18	chaos	chaos	NOUN
ejpam-6381	111	19	to	to	ADP
ejpam-6381	111	20	a	a	DET
ejpam-6381	111	21	less	less	ADV
ejpam-6381	111	22	chaotic	chaotic	ADJ
ejpam-6381	111	23	and	and	CCONJ
ejpam-6381	111	24	stable	stable	ADJ
ejpam-6381	111	25	one	one	NUM
ejpam-6381	111	26	.	.	PUNCT
ejpam-6381	112	1	this	this	PRON
ejpam-6381	112	2	shows	show	VERB
ejpam-6381	112	3	that	that	SCONJ
ejpam-6381	112	4	fractional	fractional	ADJ
ejpam-6381	112	5	derivatives	derivative	NOUN
ejpam-6381	112	6	can	can	AUX
ejpam-6381	112	7	be	be	AUX
ejpam-6381	112	8	used	use	VERB
ejpam-6381	112	9	to	to	PART
ejpam-6381	112	10	stabilize	stabilize	VERB
ejpam-6381	112	11	a	a	DET
ejpam-6381	112	12	system	system	NOUN
ejpam-6381	112	13	and	and	CCONJ
ejpam-6381	112	14	its	its	PRON
ejpam-6381	112	15	behavior	behavior	NOUN
ejpam-6381	112	16	.	.	PUNCT
ejpam-6381	113	1	this	this	DET
ejpam-6381	113	2	analysis	analysis	NOUN
ejpam-6381	113	3	is	be	AUX
ejpam-6381	113	4	important	important	ADJ
ejpam-6381	113	5	for	for	ADP
ejpam-6381	113	6	explaining	explain	VERB
ejpam-6381	113	7	flow	flow	NOUN
ejpam-6381	113	8	behavior	behavior	NOUN
ejpam-6381	113	9	from	from	ADP
ejpam-6381	113	10	idealized	idealized	ADJ
ejpam-6381	113	11	stability	stability	NOUN
ejpam-6381	113	12	to	to	ADP
ejpam-6381	113	13	actual	actual	ADJ
ejpam-6381	113	14	turbulence	turbulence	NOUN
ejpam-6381	113	15	in	in	ADP
ejpam-6381	113	16	the	the	DET
ejpam-6381	113	17	real	real	ADJ
ejpam-6381	113	18	world	world	NOUN
ejpam-6381	113	19	and	and	CCONJ
ejpam-6381	113	20	for	for	ADP
ejpam-6381	113	21	controlling	control	VERB
ejpam-6381	113	22	the	the	DET
ejpam-6381	113	23	management	management	NOUN
ejpam-6381	113	24	of	of	ADP
ejpam-6381	113	25	systems	system	NOUN
ejpam-6381	113	26	in	in	ADP
ejpam-6381	113	27	engineering	engineering	NOUN
ejpam-6381	113	28	applications	application	NOUN
ejpam-6381	113	29	.	.	PUNCT
ejpam-6381	114	1	figure	figure	NOUN
ejpam-6381	114	2	1	1	NUM
ejpam-6381	114	3	:	:	PUNCT
ejpam-6381	114	4	system	system	NOUN
ejpam-6381	114	5	dynamics	dynamic	NOUN
ejpam-6381	114	6	for	for	ADP
ejpam-6381	114	7	ν	ν	NOUN
ejpam-6381	114	8	=	=	SYM
ejpam-6381	114	9	1	1	NUM
ejpam-6381	114	10	employing	employ	VERB
ejpam-6381	114	11	the	the	DET
ejpam-6381	114	12	caputo	caputo	PROPN
ejpam-6381	114	13	fractional	fractional	PROPN
ejpam-6381	114	14	derivative	derivative	PROPN
ejpam-6381	114	15	.	.	PUNCT
ejpam-6381	115	1	i.kadri	i.kadri	PROPN
ejpam-6381	115	2	et	et	PROPN
ejpam-6381	115	3	al	al	PROPN
ejpam-6381	115	4	.	.	PUNCT
ejpam-6381	115	5	/	/	SYM
ejpam-6381	115	6	eur	eur	PROPN
ejpam-6381	115	7	.	.	PUNCT
ejpam-6381	116	1	j.	j.	PROPN
ejpam-6381	116	2	pure	pure	PROPN
ejpam-6381	116	3	appl	appl	PROPN
ejpam-6381	116	4	.	.	PROPN
ejpam-6381	116	5	math	math	PROPN
ejpam-6381	116	6	,	,	PUNCT
ejpam-6381	116	7	18	18	NUM
ejpam-6381	116	8	(	(	PUNCT
ejpam-6381	116	9	3	3	NUM
ejpam-6381	116	10	)	)	PUNCT
ejpam-6381	116	11	(	(	PUNCT
ejpam-6381	116	12	2025	2025	NUM
ejpam-6381	116	13	)	)	PUNCT
ejpam-6381	116	14	,	,	PUNCT
ejpam-6381	116	15	6381	6381	NUM
ejpam-6381	116	16	7	7	NUM
ejpam-6381	116	17	of	of	ADP
ejpam-6381	116	18	19	19	NUM
ejpam-6381	116	19	figure	figure	NOUN
ejpam-6381	116	20	2	2	NUM
ejpam-6381	116	21	:	:	PUNCT
ejpam-6381	116	22	system	system	NOUN
ejpam-6381	116	23	dynamics	dynamic	NOUN
ejpam-6381	116	24	for	for	ADP
ejpam-6381	116	25	ν	ν	NOUN
ejpam-6381	116	26	=	=	SYM
ejpam-6381	116	27	0.99	0.99	NUM
ejpam-6381	116	28	employing	employ	VERB
ejpam-6381	116	29	the	the	DET
ejpam-6381	116	30	caputo	caputo	PROPN
ejpam-6381	116	31	fractional	fractional	PROPN
ejpam-6381	116	32	derivative	derivative	PROPN
ejpam-6381	116	33	.	.	PUNCT
ejpam-6381	117	1	figure	figure	NOUN
ejpam-6381	117	2	3	3	NUM
ejpam-6381	117	3	:	:	PUNCT
ejpam-6381	117	4	system	system	NOUN
ejpam-6381	117	5	dynamics	dynamic	NOUN
ejpam-6381	117	6	for	for	ADP
ejpam-6381	117	7	ν	ν	NOUN
ejpam-6381	117	8	=	=	NOUN
ejpam-6381	117	9	0.95	0.95	NUM
ejpam-6381	117	10	using	use	VERB
ejpam-6381	117	11	the	the	DET
ejpam-6381	117	12	caputo	caputo	PROPN
ejpam-6381	117	13	fractional	fractional	PROPN
ejpam-6381	117	14	derivative	derivative	NOUN
ejpam-6381	117	15	.	.	PUNCT
ejpam-6381	118	1	the	the	DET
ejpam-6381	118	2	numerical	numerical	ADJ
ejpam-6381	118	3	solutions	solution	NOUN
ejpam-6381	118	4	displayed	display	VERB
ejpam-6381	118	5	in	in	ADP
ejpam-6381	118	6	tables	table	NOUN
ejpam-6381	118	7	1	1	NUM
ejpam-6381	118	8	,	,	PUNCT
ejpam-6381	118	9	2	2	NUM
ejpam-6381	118	10	,	,	PUNCT
ejpam-6381	118	11	and	and	CCONJ
ejpam-6381	118	12	3	3	NUM
ejpam-6381	118	13	demonstrate	demonstrate	VERB
ejpam-6381	118	14	the	the	DET
ejpam-6381	118	15	behavior	behavior	NOUN
ejpam-6381	118	16	of	of	ADP
ejpam-6381	118	17	the	the	DET
ejpam-6381	118	18	system	system	NOUN
ejpam-6381	118	19	2	2	NUM
ejpam-6381	118	20	for	for	ADP
ejpam-6381	118	21	various	various	ADJ
ejpam-6381	118	22	fractional	fractional	ADJ
ejpam-6381	118	23	orders	order	NOUN
ejpam-6381	118	24	(	(	PUNCT
ejpam-6381	118	25	ν	ν	X
ejpam-6381	118	26	=	=	SYM
ejpam-6381	118	27	1	1	NUM
ejpam-6381	118	28	,	,	PUNCT
ejpam-6381	118	29	0.99	0.99	NUM
ejpam-6381	118	30	,	,	PUNCT
ejpam-6381	118	31	0.95	0.95	NUM
ejpam-6381	118	32	)	)	PUNCT
ejpam-6381	118	33	in	in	ADP
ejpam-6381	118	34	t	t	NOUN
ejpam-6381	119	1	=	=	SYM
ejpam-6381	119	2	2	2	X
ejpam-6381	119	3	.	.	PUNCT
ejpam-6381	119	4	when	when	SCONJ
ejpam-6381	119	5	ν	ν	X
ejpam-6381	119	6	=	=	SYM
ejpam-6381	119	7	1	1	NUM
ejpam-6381	119	8	,	,	PUNCT
ejpam-6381	119	9	the	the	DET
ejpam-6381	119	10	system	system	NOUN
ejpam-6381	119	11	functions	function	NOUN
ejpam-6381	119	12	as	as	ADP
ejpam-6381	119	13	an	an	DET
ejpam-6381	119	14	integer	integer	NOUN
ejpam-6381	119	15	-	-	PUNCT
ejpam-6381	119	16	order	order	NOUN
ejpam-6381	119	17	differential	differential	ADJ
ejpam-6381	119	18	equation	equation	NOUN
ejpam-6381	119	19	,	,	PUNCT
ejpam-6381	119	20	and	and	CCONJ
ejpam-6381	119	21	the	the	DET
ejpam-6381	119	22	cfd	cfd	NOUN
ejpam-6381	119	23	method	method	NOUN
ejpam-6381	119	24	produces	produce	VERB
ejpam-6381	119	25	solutions	solution	NOUN
ejpam-6381	119	26	that	that	PRON
ejpam-6381	119	27	converge	converge	VERB
ejpam-6381	119	28	to	to	ADP
ejpam-6381	119	29	the	the	DET
ejpam-6381	119	30	4th	4th	ADJ
ejpam-6381	119	31	-	-	PUNCT
ejpam-6381	119	32	order	order	NOUN
ejpam-6381	119	33	runge	runge	NOUN
ejpam-6381	119	34	-	-	PUNCT
ejpam-6381	119	35	kutta	kutta	NOUN
ejpam-6381	119	36	(	(	PUNCT
ejpam-6381	119	37	rk4	rk4	NOUN
ejpam-6381	119	38	)	)	PUNCT
ejpam-6381	119	39	reference	reference	NOUN
ejpam-6381	119	40	values	value	NOUN
ejpam-6381	119	41	with	with	ADP
ejpam-6381	119	42	decreasing	decrease	VERB
ejpam-6381	119	43	step	step	NOUN
ejpam-6381	119	44	size	size	NOUN
ejpam-6381	119	45	h.	h.	PROPN
ejpam-6381	119	46	as	as	SCONJ
ejpam-6381	119	47	ν	ν	PROPN
ejpam-6381	119	48	decreases	decrease	VERB
ejpam-6381	119	49	to	to	ADP
ejpam-6381	119	50	0.99	0.99	NUM
ejpam-6381	119	51	and	and	CCONJ
ejpam-6381	119	52	0.95	0.95	NUM
ejpam-6381	119	53	,	,	PUNCT
ejpam-6381	119	54	the	the	DET
ejpam-6381	119	55	influence	influence	NOUN
ejpam-6381	119	56	of	of	ADP
ejpam-6381	119	57	fractional	fractional	ADJ
ejpam-6381	119	58	order	order	NOUN
ejpam-6381	119	59	effects	effect	NOUN
ejpam-6381	119	60	results	result	NOUN
ejpam-6381	119	61	in	in	ADP
ejpam-6381	119	62	memory	memory	NOUN
ejpam-6381	119	63	dependence	dependence	NOUN
ejpam-6381	119	64	,	,	PUNCT
ejpam-6381	119	65	causing	cause	VERB
ejpam-6381	119	66	a	a	DET
ejpam-6381	119	67	minor	minor	ADJ
ejpam-6381	119	68	reduction	reduction	NOUN
ejpam-6381	119	69	in	in	ADP
ejpam-6381	119	70	the	the	DET
ejpam-6381	119	71	values	value	NOUN
ejpam-6381	119	72	of	of	ADP
ejpam-6381	119	73	x1	x1	PROPN
ejpam-6381	119	74	,	,	PUNCT
ejpam-6381	119	75	x2	x2	PROPN
ejpam-6381	119	76	,	,	PUNCT
ejpam-6381	119	77	x3	x3	PROPN
ejpam-6381	119	78	,	,	PUNCT
ejpam-6381	119	79	x4	x4	PROPN
ejpam-6381	119	80	.	.	PUNCT
ejpam-6381	120	1	the	the	DET
ejpam-6381	120	2	cfd	cfd	NOUN
ejpam-6381	120	3	method	method	NOUN
ejpam-6381	120	4	exhibits	exhibit	VERB
ejpam-6381	120	5	consistent	consistent	ADJ
ejpam-6381	120	6	convergence	convergence	NOUN
ejpam-6381	120	7	in	in	ADP
ejpam-6381	120	8	all	all	DET
ejpam-6381	120	9	cases	case	NOUN
ejpam-6381	120	10	,	,	PUNCT
ejpam-6381	120	11	with	with	ADP
ejpam-6381	120	12	solutions	solution	NOUN
ejpam-6381	120	13	aligning	align	VERB
ejpam-6381	120	14	closely	closely	ADV
ejpam-6381	120	15	with	with	ADP
ejpam-6381	120	16	the	the	DET
ejpam-6381	120	17	adams	adams	PROPN
ejpam-6381	120	18	-	-	PUNCT
ejpam-6381	120	19	bashforth	bashforth	PROPN
ejpam-6381	120	20	-	-	PUNCT
ejpam-6381	120	21	moulton	moulton	PROPN
ejpam-6381	120	22	method	method	NOUN
ejpam-6381	120	23	(	(	PUNCT
ejpam-6381	120	24	abm	abm	PROPN
ejpam-6381	120	25	)	)	PUNCT
ejpam-6381	120	26	reference	reference	NOUN
ejpam-6381	120	27	values	value	NOUN
ejpam-6381	120	28	for	for	ADP
ejpam-6381	120	29	fractional	fractional	ADJ
ejpam-6381	120	30	orders	order	NOUN
ejpam-6381	120	31	.	.	PUNCT
ejpam-6381	121	1	the	the	DET
ejpam-6381	121	2	findings	finding	NOUN
ejpam-6381	121	3	show	show	VERB
ejpam-6381	121	4	that	that	SCONJ
ejpam-6381	121	5	a	a	DET
ejpam-6381	121	6	decrease	decrease	NOUN
ejpam-6381	121	7	in	in	ADP
ejpam-6381	121	8	h	h	NOUN
ejpam-6381	121	9	is	be	AUX
ejpam-6381	121	10	directly	directly	ADV
ejpam-6381	121	11	proportional	proportional	ADJ
ejpam-6381	121	12	to	to	ADP
ejpam-6381	121	13	increased	increase	VERB
ejpam-6381	121	14	accuracy	accuracy	NOUN
ejpam-6381	121	15	,	,	PUNCT
ejpam-6381	121	16	which	which	PRON
ejpam-6381	121	17	supports	support	VERB
ejpam-6381	121	18	the	the	DET
ejpam-6381	121	19	consistency	consistency	NOUN
ejpam-6381	121	20	of	of	ADP
ejpam-6381	121	21	cfd	cfd	NOUN
ejpam-6381	121	22	in	in	ADP
ejpam-6381	121	23	solving	solve	VERB
ejpam-6381	121	24	fractional	fractional	ADJ
ejpam-6381	121	25	order	order	NOUN
ejpam-6381	121	26	systems	system	NOUN
ejpam-6381	121	27	.	.	PUNCT
ejpam-6381	122	1	the	the	DET
ejpam-6381	122	2	nature	nature	NOUN
ejpam-6381	122	3	of	of	ADP
ejpam-6381	122	4	solutions	solution	NOUN
ejpam-6381	122	5	with	with	ADP
ejpam-6381	122	6	decreasing	decrease	VERB
ejpam-6381	122	7	ν	ν	NOUN
ejpam-6381	122	8	represents	represent	VERB
ejpam-6381	122	9	the	the	DET
ejpam-6381	122	10	effect	effect	NOUN
ejpam-6381	122	11	of	of	ADP
ejpam-6381	122	12	fractional	fractional	ADJ
ejpam-6381	122	13	dynamics	dynamic	NOUN
ejpam-6381	122	14	,	,	PUNCT
ejpam-6381	122	15	which	which	PRON
ejpam-6381	122	16	retards	retard	VERB
ejpam-6381	122	17	the	the	DET
ejpam-6381	122	18	evolution	evolution	NOUN
ejpam-6381	122	19	of	of	ADP
ejpam-6381	122	20	the	the	DET
ejpam-6381	122	21	system	system	NOUN
ejpam-6381	122	22	relative	relative	ADJ
ejpam-6381	122	23	to	to	ADP
ejpam-6381	122	24	the	the	DET
ejpam-6381	122	25	classical	classical	ADJ
ejpam-6381	122	26	case	case	NOUN
ejpam-6381	122	27	.	.	PUNCT
ejpam-6381	123	1	the	the	DET
ejpam-6381	123	2	study	study	NOUN
ejpam-6381	123	3	demonstrates	demonstrate	VERB
ejpam-6381	123	4	the	the	DET
ejpam-6381	123	5	efficiency	efficiency	NOUN
ejpam-6381	123	6	of	of	ADP
ejpam-6381	123	7	cfd	cfd	NOUN
ejpam-6381	123	8	in	in	ADP
ejpam-6381	123	9	the	the	DET
ejpam-6381	123	10	management	management	NOUN
ejpam-6381	123	11	of	of	ADP
ejpam-6381	123	12	systems	system	NOUN
ejpam-6381	123	13	of	of	ADP
ejpam-6381	123	14	integer	integer	NOUN
ejpam-6381	123	15	and	and	CCONJ
ejpam-6381	123	16	fractional	fractional	ADJ
ejpam-6381	123	17	order	order	NOUN
ejpam-6381	123	18	with	with	ADP
ejpam-6381	123	19	high	high	ADJ
ejpam-6381	123	20	precision	precision	NOUN
ejpam-6381	123	21	.	.	PUNCT
ejpam-6381	124	1	i.kadri	i.kadri	PROPN
ejpam-6381	124	2	et	et	PROPN
ejpam-6381	124	3	al	al	PROPN
ejpam-6381	124	4	.	.	PUNCT
ejpam-6381	124	5	/	/	SYM
ejpam-6381	124	6	eur	eur	PROPN
ejpam-6381	124	7	.	.	PUNCT
ejpam-6381	125	1	j.	j.	PROPN
ejpam-6381	125	2	pure	pure	PROPN
ejpam-6381	125	3	appl	appl	PROPN
ejpam-6381	125	4	.	.	PROPN
ejpam-6381	125	5	math	math	PROPN
ejpam-6381	125	6	,	,	PUNCT
ejpam-6381	125	7	18	18	NUM
ejpam-6381	125	8	(	(	PUNCT
ejpam-6381	125	9	3	3	NUM
ejpam-6381	125	10	)	)	PUNCT
ejpam-6381	125	11	(	(	PUNCT
ejpam-6381	125	12	2025	2025	NUM
ejpam-6381	125	13	)	)	PUNCT
ejpam-6381	125	14	,	,	PUNCT
ejpam-6381	125	15	6381	6381	NUM
ejpam-6381	125	16	8	8	NUM
ejpam-6381	125	17	of	of	ADP
ejpam-6381	125	18	19	19	NUM
ejpam-6381	125	19	table	table	NOUN
ejpam-6381	125	20	1	1	NUM
ejpam-6381	125	21	:	:	PUNCT
ejpam-6381	125	22	solutions	solution	NOUN
ejpam-6381	125	23	of	of	ADP
ejpam-6381	125	24	system	system	NOUN
ejpam-6381	125	25	2	2	NUM
ejpam-6381	125	26	by	by	ADP
ejpam-6381	125	27	using	use	VERB
ejpam-6381	125	28	cfd	cfd	NOUN
ejpam-6381	125	29	for	for	ADP
ejpam-6381	125	30	(	(	PUNCT
ejpam-6381	125	31	x10	x10	NOUN
ejpam-6381	125	32	,	,	PUNCT
ejpam-6381	125	33	x20	x20	PROPN
ejpam-6381	125	34	,	,	PUNCT
ejpam-6381	125	35	x30	x30	PROPN
ejpam-6381	125	36	,	,	PUNCT
ejpam-6381	125	37	x40	x40	PROPN
ejpam-6381	125	38	)	)	PUNCT
ejpam-6381	125	39	=	=	PUNCT
ejpam-6381	125	40	(	(	PUNCT
ejpam-6381	125	41	1	1	NUM
ejpam-6381	125	42	,	,	PUNCT
ejpam-6381	125	43	1	1	NUM
ejpam-6381	125	44	,	,	PUNCT
ejpam-6381	125	45	1	1	NUM
ejpam-6381	125	46	,	,	PUNCT
ejpam-6381	125	47	1	1	NUM
ejpam-6381	125	48	)	)	PUNCT
ejpam-6381	125	49	where	where	SCONJ
ejpam-6381	125	50	ν	ν	X
ejpam-6381	125	51	=	=	SYM
ejpam-6381	125	52	1	1	NUM
ejpam-6381	125	53	,	,	PUNCT
ejpam-6381	125	54	and	and	CCONJ
ejpam-6381	125	55	t	t	X
ejpam-6381	125	56	=	=	SYM
ejpam-6381	125	57	2	2	NUM
ejpam-6381	125	58	h	h	NOUN
ejpam-6381	126	1	x1	x1	NOUN
ejpam-6381	126	2	x2	x2	NOUN
ejpam-6381	126	3	x3	x3	PROPN
ejpam-6381	126	4	x4	x4	PROPN
ejpam-6381	126	5	1/320	1/320	NUM
ejpam-6381	126	6	0.973059863422542	0.973059863422542	NUM
ejpam-6381	126	7	0.800578111799992	0.800578111799992	NUM
ejpam-6381	126	8	1.591562295686195	1.591562295686195	NUM
ejpam-6381	126	9	2.536897475278398	2.536897475278398	NUM
ejpam-6381	126	10	1/640	1/640	NUM
ejpam-6381	126	11	0.970285557191089	0.970285557191089	NUM
ejpam-6381	126	12	0.796036503750927	0.796036503750927	NUM
ejpam-6381	127	1	1.593731307460380	1.593731307460380	NUM
ejpam-6381	127	2	2.546833743002026	2.546833743002026	NUM
ejpam-6381	127	3	1/1280	1/1280	NUM
ejpam-6381	127	4	0.969355303143915	0.969355303143915	NUM
ejpam-6381	127	5	0.794508406142886	0.794508406142886	NUM
ejpam-6381	127	6	1.594465238932689	1.594465238932689	NUM
ejpam-6381	127	7	2.550156263728269	2.550156263728269	NUM
ejpam-6381	127	8	1/2560	1/2560	NUM
ejpam-6381	127	9	0.968888986811479	0.968888986811479	NUM
ejpam-6381	127	10	0.793741513533585	0.793741513533585	NUM
ejpam-6381	127	11	1.594834214830244	1.594834214830244	NUM
ejpam-6381	127	12	2.551819454601515	2.551819454601515	NUM
ejpam-6381	127	13	1/5120	1/5120	NUM
ejpam-6381	127	14	0.968608795575532	0.968608795575532	NUM
ejpam-6381	127	15	0.793280445317936	0.793280445317936	NUM
ejpam-6381	127	16	1.595056238342953	1.595056238342953	NUM
ejpam-6381	127	17	2.552817983348334	2.552817983348334	NUM
ejpam-6381	127	18	1/10240	1/10240	NUM
ejpam-6381	127	19	0.967953794109018	0.967953794109018	NUM
ejpam-6381	127	20	0.792201844098075	0.792201844098075	NUM
ejpam-6381	127	21	1.595576140721881	1.595576140721881	NUM
ejpam-6381	127	22	2.555149666256854	2.555149666256854	NUM
ejpam-6381	127	23	rk4	rk4	NOUN
ejpam-6381	127	24	0.967484855614437	0.967484855614437	NUM
ejpam-6381	127	25	0.791428991073163	0.791428991073163	NUM
ejpam-6381	127	26	1.595949065222047	1.595949065222047	NUM
ejpam-6381	127	27	2.556816674404389	2.556816674404389	NUM
ejpam-6381	127	28	table	table	NOUN
ejpam-6381	127	29	2	2	NUM
ejpam-6381	127	30	:	:	PUNCT
ejpam-6381	127	31	solutions	solution	NOUN
ejpam-6381	127	32	of	of	ADP
ejpam-6381	127	33	system	system	NOUN
ejpam-6381	127	34	2	2	NUM
ejpam-6381	127	35	by	by	ADP
ejpam-6381	127	36	using	use	VERB
ejpam-6381	127	37	cfd	cfd	NOUN
ejpam-6381	127	38	for	for	ADP
ejpam-6381	127	39	(	(	PUNCT
ejpam-6381	127	40	x10	x10	NOUN
ejpam-6381	127	41	,	,	PUNCT
ejpam-6381	127	42	x20	x20	PROPN
ejpam-6381	127	43	,	,	PUNCT
ejpam-6381	127	44	x30	x30	PROPN
ejpam-6381	127	45	,	,	PUNCT
ejpam-6381	127	46	x40	x40	PROPN
ejpam-6381	127	47	)	)	PUNCT
ejpam-6381	127	48	=	=	PUNCT
ejpam-6381	127	49	(	(	PUNCT
ejpam-6381	127	50	1	1	NUM
ejpam-6381	127	51	,	,	PUNCT
ejpam-6381	127	52	1	1	NUM
ejpam-6381	127	53	,	,	PUNCT
ejpam-6381	127	54	1	1	NUM
ejpam-6381	127	55	,	,	PUNCT
ejpam-6381	127	56	1	1	NUM
ejpam-6381	127	57	)	)	PUNCT
ejpam-6381	127	58	where	where	SCONJ
ejpam-6381	127	59	ν	ν	NOUN
ejpam-6381	127	60	=	=	NOUN
ejpam-6381	127	61	0.99	0.99	NUM
ejpam-6381	127	62	,	,	PUNCT
ejpam-6381	127	63	and	and	CCONJ
ejpam-6381	127	64	t	t	X
ejpam-6381	127	65	=	=	SYM
ejpam-6381	127	66	2	2	NUM
ejpam-6381	127	67	h	h	NOUN
ejpam-6381	127	68	x1	x1	NOUN
ejpam-6381	128	1	x2	x2	NOUN
ejpam-6381	128	2	x3	x3	PROPN
ejpam-6381	128	3	x4	x4	PROPN
ejpam-6381	128	4	1/320	1/320	NUM
ejpam-6381	128	5	0.958724904468643	0.958724904468643	NUM
ejpam-6381	128	6	0.784005868539537	0.784005868539537	NUM
ejpam-6381	128	7	1.586882323107994	1.586882323107994	NUM
ejpam-6381	128	8	2.552704617046767	2.552704617046767	NUM
ejpam-6381	128	9	1/640	1/640	NUM
ejpam-6381	128	10	0.957783855967246	0.957783855967246	NUM
ejpam-6381	129	1	0.782526656938586	0.782526656938586	NUM
ejpam-6381	129	2	1.587511271988065	1.587511271988065	NUM
ejpam-6381	129	3	2.555919465717640	2.555919465717640	NUM
ejpam-6381	129	4	1/1280	1/1280	NUM
ejpam-6381	129	5	0.957312261656128	0.957312261656128	NUM
ejpam-6381	129	6	0.781784430216698	0.781784430216698	NUM
ejpam-6381	129	7	1.587827659031779	1.587827659031779	NUM
ejpam-6381	129	8	2.557528691550405	2.557528691550405	NUM
ejpam-6381	129	9	1/2560	1/2560	NUM
ejpam-6381	129	10	0.0.957028942786839	0.0.957028942786839	NUM
ejpam-6381	129	11	0.781338234845598	0.781338234845598	NUM
ejpam-6381	129	12	1.588018096550532	1.588018096550532	NUM
ejpam-6381	129	13	2.558494798445208	2.558494798445208	NUM
ejpam-6381	129	14	1/5120	1/5120	NUM
ejpam-6381	129	15	0.956839907974789	0.956839907974789	NUM
ejpam-6381	129	16	0.781040408427304	0.781040408427304	NUM
ejpam-6381	129	17	1.588145305517077	1.588145305517077	NUM
ejpam-6381	129	18	2.559139106587635	2.559139106587635	NUM
ejpam-6381	129	19	1/10240	1/10240	NUM
ejpam-6381	129	20	0.955883492764598	0.955883492764598	NUM
ejpam-6381	129	21	0.779514856699298	0.779514856699298	NUM
ejpam-6381	129	22	1.588816353323760	1.588816353323760	NUM
ejpam-6381	129	23	2.562396671913593	2.562396671913593	NUM
ejpam-6381	129	24	abm	abm	PROPN
ejpam-6381	129	25	0.955344465148585	0.955344465148585	NUM
ejpam-6381	129	26	0.779339094329801	0.779339094329801	NUM
ejpam-6381	129	27	1.589131949997077	1.589131949997077	NUM
ejpam-6381	129	28	2.567697787348436	2.567697787348436	NUM
ejpam-6381	129	29	table	table	NOUN
ejpam-6381	129	30	3	3	NUM
ejpam-6381	129	31	:	:	PUNCT
ejpam-6381	129	32	solutions	solution	NOUN
ejpam-6381	129	33	of	of	ADP
ejpam-6381	129	34	system	system	NOUN
ejpam-6381	129	35	2	2	NUM
ejpam-6381	129	36	by	by	ADP
ejpam-6381	129	37	using	use	VERB
ejpam-6381	129	38	cfd	cfd	NOUN
ejpam-6381	129	39	for	for	ADP
ejpam-6381	129	40	(	(	PUNCT
ejpam-6381	129	41	x10	x10	NOUN
ejpam-6381	129	42	,	,	PUNCT
ejpam-6381	129	43	x20	x20	PROPN
ejpam-6381	129	44	,	,	PUNCT
ejpam-6381	129	45	x30	x30	PROPN
ejpam-6381	129	46	,	,	PUNCT
ejpam-6381	129	47	x40	x40	PROPN
ejpam-6381	129	48	)	)	PUNCT
ejpam-6381	129	49	=	=	PUNCT
ejpam-6381	129	50	(	(	PUNCT
ejpam-6381	129	51	1	1	NUM
ejpam-6381	129	52	,	,	PUNCT
ejpam-6381	129	53	1	1	NUM
ejpam-6381	129	54	,	,	PUNCT
ejpam-6381	129	55	1	1	NUM
ejpam-6381	129	56	,	,	PUNCT
ejpam-6381	129	57	1	1	NUM
ejpam-6381	129	58	)	)	PUNCT
ejpam-6381	129	59	where	where	SCONJ
ejpam-6381	129	60	ν	ν	X
ejpam-6381	129	61	=	=	NOUN
ejpam-6381	129	62	0.95	0.95	NUM
ejpam-6381	129	63	,	,	PUNCT
ejpam-6381	129	64	and	and	CCONJ
ejpam-6381	129	65	t	t	X
ejpam-6381	129	66	=	=	SYM
ejpam-6381	129	67	2	2	NUM
ejpam-6381	129	68	h	h	NOUN
ejpam-6381	129	69	x1	x1	NOUN
ejpam-6381	130	1	x2	x2	NOUN
ejpam-6381	130	2	x3	x3	PROPN
ejpam-6381	130	3	x4	x4	PROPN
ejpam-6381	130	4	1/320	1/320	NUM
ejpam-6381	130	5	0.915581297407851	0.915581297407851	NUM
ejpam-6381	130	6	0.741241155418083	0.741241155418083	NUM
ejpam-6381	131	1	1.557139066272577	1.557139066272577	NUM
ejpam-6381	131	2	2.575478404944152	2.575478404944152	NUM
ejpam-6381	131	3	1/640	1/640	NUM
ejpam-6381	131	4	0.915134211844442	0.915134211844442	NUM
ejpam-6381	131	5	0.740621399693080	0.740621399693080	NUM
ejpam-6381	131	6	1.557299568921548	1.557299568921548	NUM
ejpam-6381	131	7	2.576919332084313	2.576919332084313	NUM
ejpam-6381	131	8	1/1280	1/1280	NUM
ejpam-6381	131	9	0.914865705487542	0.914865705487542	NUM
ejpam-6381	131	10	0.740248850488766	0.740248850488766	NUM
ejpam-6381	131	11	1.557396449608853	1.557396449608853	NUM
ejpam-6381	131	12	2.577784401113457	2.577784401113457	NUM
ejpam-6381	131	13	1/2560	1/2560	NUM
ejpam-6381	131	14	0.914686591456969	0.914686591456969	NUM
ejpam-6381	131	15	0.740000191391083	0.740000191391083	NUM
ejpam-6381	131	16	1.557461275589489	1.557461275589489	NUM
ejpam-6381	131	17	2.578361325295418	2.578361325295418	NUM
ejpam-6381	131	18	1/5120	1/5120	NUM
ejpam-6381	131	19	0.913702159352431	0.913702159352431	NUM
ejpam-6381	132	1	0.738585624017066	0.738585624017066	NUM
ejpam-6381	132	2	1.557873715167465	1.557873715167465	NUM
ejpam-6381	132	3	2.581343575041200	2.581343575041200	NUM
ejpam-6381	132	4	1/10240	1/10240	NUM
ejpam-6381	132	5	0.914387867668505	0.914387867668505	NUM
ejpam-6381	132	6	0.739585234231689	0.739585234231689	NUM
ejpam-6381	132	7	1.557569739937361	1.557569739937361	NUM
ejpam-6381	132	8	2.579323238417623	2.579323238417623	NUM
ejpam-6381	132	9	abm	abm	PROPN
ejpam-6381	132	10	0.914496444818986	0.914496444818986	NUM
ejpam-6381	132	11	0.739349393578095	0.739349393578095	NUM
ejpam-6381	132	12	1.557768565532089	1.557768565532089	NUM
ejpam-6381	132	13	2.579413747913888	2.579413747913888	NUM
ejpam-6381	132	14	5	5	NUM
ejpam-6381	132	15	.	.	PUNCT
ejpam-6381	132	16	residual	residual	ADJ
ejpam-6381	132	17	power	power	NOUN
ejpam-6381	132	18	series	series	PROPN
ejpam-6381	132	19	approach	approach	NOUN
ejpam-6381	132	20	for	for	ADP
ejpam-6381	132	21	hyperchaotic	hyperchaotic	ADJ
ejpam-6381	132	22	system	system	NOUN
ejpam-6381	132	23	(	(	PUNCT
ejpam-6381	132	24	rpsm	rpsm	PROPN
ejpam-6381	132	25	)	)	PUNCT
ejpam-6381	132	26	the	the	DET
ejpam-6381	132	27	fractional	fractional	ADJ
ejpam-6381	132	28	hyperchaotic	hyperchaotic	ADJ
ejpam-6381	132	29	system	system	NOUN
ejpam-6381	132	30	is	be	AUX
ejpam-6381	132	31	recognized	recognize	VERB
ejpam-6381	132	32	as	as	ADP
ejpam-6381	132	33	a	a	DET
ejpam-6381	132	34	significant	significant	ADJ
ejpam-6381	132	35	universal	universal	ADJ
ejpam-6381	132	36	nonlinear	nonlinear	ADJ
ejpam-6381	132	37	model	model	NOUN
ejpam-6381	132	38	that	that	PRON
ejpam-6381	132	39	appears	appear	VERB
ejpam-6381	132	40	in	in	ADP
ejpam-6381	132	41	various	various	ADJ
ejpam-6381	132	42	physical	physical	ADJ
ejpam-6381	132	43	systems	system	NOUN
ejpam-6381	132	44	.	.	PUNCT
ejpam-6381	133	1	this	this	DET
ejpam-6381	133	2	article	article	NOUN
ejpam-6381	133	3	aims	aim	VERB
ejpam-6381	133	4	to	to	PART
ejpam-6381	133	5	derive	derive	VERB
ejpam-6381	133	6	the	the	DET
ejpam-6381	133	7	solution	solution	NOUN
ejpam-6381	133	8	for	for	ADP
ejpam-6381	133	9	this	this	DET
ejpam-6381	133	10	equation	equation	NOUN
ejpam-6381	133	11	employing	employ	VERB
ejpam-6381	133	12	the	the	DET
ejpam-6381	133	13	advantageous	advantageous	ADJ
ejpam-6381	133	14	rps	rps	PROPN
ejpam-6381	133	15	method	method	NOUN
ejpam-6381	133	16	.	.	PUNCT
ejpam-6381	134	1	i.kadri	i.kadri	PROPN
ejpam-6381	134	2	et	et	PROPN
ejpam-6381	134	3	al	al	PROPN
ejpam-6381	134	4	.	.	PUNCT
ejpam-6381	134	5	/	/	SYM
ejpam-6381	134	6	eur	eur	PROPN
ejpam-6381	134	7	.	.	PUNCT
ejpam-6381	135	1	j.	j.	PROPN
ejpam-6381	135	2	pure	pure	PROPN
ejpam-6381	135	3	appl	appl	PROPN
ejpam-6381	135	4	.	.	PROPN
ejpam-6381	135	5	math	math	PROPN
ejpam-6381	135	6	,	,	PUNCT
ejpam-6381	135	7	18	18	NUM
ejpam-6381	135	8	(	(	PUNCT
ejpam-6381	135	9	3	3	NUM
ejpam-6381	135	10	)	)	PUNCT
ejpam-6381	135	11	(	(	PUNCT
ejpam-6381	135	12	2025	2025	NUM
ejpam-6381	135	13	)	)	PUNCT
ejpam-6381	135	14	,	,	PUNCT
ejpam-6381	135	15	6381	6381	NUM
ejpam-6381	135	16	9	9	NUM
ejpam-6381	135	17	of	of	ADP
ejpam-6381	135	18	19	19	NUM
ejpam-6381	135	19			NOUN
ejpam-6381	135	20	cdν	cdν	VERB
ejpam-6381	135	21	0,tx1	0,tx1	NOUN
ejpam-6381	136	1	=	=	SYM
ejpam-6381	137	1	a(x2	a(x2	NOUN
ejpam-6381	138	1	−	−	PROPN
ejpam-6381	138	2	x1	x1	PROPN
ejpam-6381	138	3	)	)	PUNCT
ejpam-6381	139	1	+	+	CCONJ
ejpam-6381	139	2	x4	x4	PROPN
ejpam-6381	139	3	,	,	PUNCT
ejpam-6381	139	4	cdν	cdν	VERB
ejpam-6381	139	5	0,tx2	0,tx2	NOUN
ejpam-6381	139	6	=	=	PUNCT
ejpam-6381	139	7	cx2	cx2	NOUN
ejpam-6381	139	8	−	−	PROPN
ejpam-6381	139	9	10x1x3	10x1x3	NUM
ejpam-6381	139	10	,	,	PUNCT
ejpam-6381	139	11	cdν	cdν	VERB
ejpam-6381	139	12	0,tx3	0,tx3	PROPN
ejpam-6381	139	13	=	=	SYM
ejpam-6381	140	1	−bx3	−bx3	X
ejpam-6381	140	2	+	+	SYM
ejpam-6381	140	3	10x1x2	10x1x2	NOUN
ejpam-6381	140	4	,	,	PUNCT
ejpam-6381	140	5	cdν	cdν	VERB
ejpam-6381	140	6	0,tx4	0,tx4	X
ejpam-6381	141	1	=	=	SYM
ejpam-6381	141	2	dx2	dx2	PROPN
ejpam-6381	141	3	+	+	CCONJ
ejpam-6381	141	4	x21	x21	PROPN
ejpam-6381	141	5	,	,	PUNCT
ejpam-6381	141	6	(	(	PUNCT
ejpam-6381	141	7	11	11	NUM
ejpam-6381	141	8	)	)	PUNCT
ejpam-6381	141	9	subject	subject	NOUN
ejpam-6381	141	10	to	to	ADP
ejpam-6381	141	11	the	the	DET
ejpam-6381	141	12	following	follow	VERB
ejpam-6381	141	13	constraints	constraint	NOUN
ejpam-6381	141	14	initial	initial	ADJ
ejpam-6381	141	15	conditions	condition	NOUN
ejpam-6381	141	16	:	:	PUNCT
ejpam-6381	141	17	x1(0	x1(0	PROPN
ejpam-6381	141	18	)	)	PUNCT
ejpam-6381	142	1	=	=	SYM
ejpam-6381	142	2	x10	x10	NOUN
ejpam-6381	142	3	,	,	PUNCT
ejpam-6381	142	4	x2(0	x2(0	PROPN
ejpam-6381	142	5	)	)	PUNCT
ejpam-6381	142	6	=	=	SYM
ejpam-6381	142	7	x20	x20	PROPN
ejpam-6381	142	8	,	,	PUNCT
ejpam-6381	142	9	x3(0	x3(0	PROPN
ejpam-6381	142	10	)	)	PUNCT
ejpam-6381	142	11	=	=	SYM
ejpam-6381	142	12	x30	x30	PROPN
ejpam-6381	142	13	,	,	PUNCT
ejpam-6381	142	14	x4(0	x4(0	PROPN
ejpam-6381	142	15	)	)	PUNCT
ejpam-6381	142	16	=	=	SYM
ejpam-6381	142	17	x40	x40	PROPN
ejpam-6381	142	18	.	.	PUNCT
ejpam-6381	143	1	(	(	PUNCT
ejpam-6381	143	2	12	12	NUM
ejpam-6381	143	3	)	)	PUNCT
ejpam-6381	143	4	to	to	PART
ejpam-6381	143	5	numerically	numerically	ADV
ejpam-6381	143	6	address	address	VERB
ejpam-6381	143	7	the	the	DET
ejpam-6381	143	8	fractional	fractional	ADJ
ejpam-6381	143	9	order	order	NOUN
ejpam-6381	143	10	4d	4d	NUM
ejpam-6381	143	11	hyperchaotic	hyperchaotic	ADJ
ejpam-6381	143	12	system	system	NOUN
ejpam-6381	143	13	using	use	VERB
ejpam-6381	143	14	the	the	DET
ejpam-6381	143	15	caputo	caputo	PROPN
ejpam-6381	143	16	derivative	derivative	NOUN
ejpam-6381	143	17	,	,	PUNCT
ejpam-6381	143	18	we	we	PRON
ejpam-6381	143	19	adhere	adhere	VERB
ejpam-6381	143	20	to	to	ADP
ejpam-6381	143	21	the	the	DET
ejpam-6381	143	22	following	follow	VERB
ejpam-6381	143	23	procedure	procedure	NOUN
ejpam-6381	143	24	outlined	outline	VERB
ejpam-6381	143	25	below	below	ADV
ejpam-6381	143	26	.	.	PUNCT
ejpam-6381	144	1	the	the	DET
ejpam-6381	144	2	rps	rps	PROPN
ejpam-6381	144	3	method	method	NOUN
ejpam-6381	144	4	involves	involve	VERB
ejpam-6381	144	5	representing	represent	VERB
ejpam-6381	144	6	the	the	DET
ejpam-6381	144	7	solutions	solution	NOUN
ejpam-6381	144	8	of	of	ADP
ejpam-6381	144	9	the	the	DET
ejpam-6381	144	10	eq	eq	NOUN
ejpam-6381	144	11	.	.	PUNCT
ejpam-6381	145	1	(	(	PUNCT
ejpam-6381	145	2	11	11	NUM
ejpam-6381	145	3	)	)	PUNCT
ejpam-6381	145	4	,	,	PUNCT
ejpam-6381	145	5	given	give	VERB
ejpam-6381	145	6	the	the	DET
ejpam-6381	145	7	i.c	i.c	PROPN
ejpam-6381	145	8	outlined	outline	VERB
ejpam-6381	145	9	in	in	ADP
ejpam-6381	145	10	eq	eq	ADP
ejpam-6381	145	11	.	.	PUNCT
ejpam-6381	146	1	(	(	PUNCT
ejpam-6381	146	2	12	12	NUM
ejpam-6381	146	3	)	)	PUNCT
ejpam-6381	146	4	,	,	PUNCT
ejpam-6381	146	5	as	as	ADP
ejpam-6381	146	6	a	a	DET
ejpam-6381	146	7	series	series	NOUN
ejpam-6381	146	8	of	of	ADP
ejpam-6381	146	9	various	various	ADJ
ejpam-6381	146	10	fractional	fractional	ADJ
ejpam-6381	146	11	ps	ps	PROPN
ejpam-6381	146	12	expansions	expansion	NOUN
ejpam-6381	146	13	centered	center	VERB
ejpam-6381	146	14	around	around	ADP
ejpam-6381	146	15	the	the	DET
ejpam-6381	146	16	starting	starting	NOUN
ejpam-6381	146	17	point	point	NOUN
ejpam-6381	146	18	t	t	PROPN
ejpam-6381	146	19	=	=	SYM
ejpam-6381	146	20	0	0	X
ejpam-6381	146	21	.	.	PUNCT
ejpam-6381	147	1	assume	assume	VERB
ejpam-6381	147	2	a	a	DET
ejpam-6381	147	3	solution	solution	NOUN
ejpam-6381	147	4	expressed	express	VERB
ejpam-6381	147	5	as	as	ADP
ejpam-6381	147	6	a	a	DET
ejpam-6381	147	7	power	power	NOUN
ejpam-6381	147	8	series;	series;	PROPN
ejpam-6381	147	9	x1(t	x1(t	PROPN
ejpam-6381	147	10	)	)	PUNCT
ejpam-6381	147	11	=	=	NOUN
ejpam-6381	148	1	∞∑	∞∑	NUM
ejpam-6381	148	2	k=0	k=0	PROPN
ejpam-6381	148	3	a1k	a1k	PART
ejpam-6381	148	4	tkν	tkν	X
ejpam-6381	149	1	γ(1	γ(1	PROPN
ejpam-6381	149	2	+	+	NUM
ejpam-6381	149	3	kν	kν	PROPN
ejpam-6381	149	4	)	)	PUNCT
ejpam-6381	149	5	,	,	PUNCT
ejpam-6381	149	6	x2(t	x2(t	PROPN
ejpam-6381	149	7	)	)	PUNCT
ejpam-6381	150	1	=	=	PUNCT
ejpam-6381	151	1	∞∑	∞∑	NUM
ejpam-6381	151	2	k=0	k=0	PROPN
ejpam-6381	151	3	a2k	a2k	X
ejpam-6381	151	4	tkν	tkν	X
ejpam-6381	152	1	γ(1	γ(1	PROPN
ejpam-6381	152	2	+	+	CCONJ
ejpam-6381	152	3	kν	kν	PROPN
ejpam-6381	152	4	)	)	PUNCT
ejpam-6381	152	5	,	,	PUNCT
ejpam-6381	153	1	x3(t	x3(t	PROPN
ejpam-6381	153	2	)	)	PUNCT
ejpam-6381	153	3	=	=	NOUN
ejpam-6381	154	1	∞∑	∞∑	NUM
ejpam-6381	154	2	k=0	k=0	PUNCT
ejpam-6381	154	3	a3k	a3k	ADJ
ejpam-6381	154	4	tkν	tkν	X
ejpam-6381	154	5	γ(1	γ(1	PROPN
ejpam-6381	154	6	+	+	CCONJ
ejpam-6381	154	7	kν	kν	PROPN
ejpam-6381	154	8	)	)	PUNCT
ejpam-6381	154	9	,	,	PUNCT
ejpam-6381	154	10	x4(t	x4(t	PROPN
ejpam-6381	154	11	)	)	PUNCT
ejpam-6381	154	12	=	=	PUNCT
ejpam-6381	155	1	∞∑	∞∑	ADJ
ejpam-6381	155	2	k=0	k=0	PUNCT
ejpam-6381	155	3	a4k	a4k	PROPN
ejpam-6381	155	4	tkν	tkν	NOUN
ejpam-6381	155	5	γ(kν	γ(kν	PROPN
ejpam-6381	155	6	+	+	NOUN
ejpam-6381	155	7	1	1	NUM
ejpam-6381	155	8	)	)	PUNCT
ejpam-6381	155	9	.	.	PUNCT
ejpam-6381	156	1	(	(	PUNCT
ejpam-6381	156	2	13	13	NUM
ejpam-6381	156	3	)	)	PUNCT
ejpam-6381	156	4	the	the	DET
ejpam-6381	156	5	rps	rps	PROPN
ejpam-6381	156	6	offers	offer	VERB
ejpam-6381	156	7	analytical	analytical	ADJ
ejpam-6381	156	8	approximate	approximate	ADJ
ejpam-6381	156	9	solutions	solution	NOUN
ejpam-6381	156	10	expressed	express	VERB
ejpam-6381	156	11	as	as	ADP
ejpam-6381	156	12	an	an	DET
ejpam-6381	156	13	infinite	infinite	ADJ
ejpam-6381	156	14	multiple	multiple	ADJ
ejpam-6381	156	15	fractional	fractional	ADJ
ejpam-6381	156	16	ps	ps	NOUN
ejpam-6381	156	17	.	.	PUNCT
ejpam-6381	156	18	to	to	PART
ejpam-6381	156	19	derive	derive	VERB
ejpam-6381	156	20	the	the	DET
ejpam-6381	156	21	numerical	numerical	ADJ
ejpam-6381	156	22	representation	representation	NOUN
ejpam-6381	156	23	of	of	ADP
ejpam-6381	156	24	the	the	DET
ejpam-6381	156	25	values	value	NOUN
ejpam-6381	156	26	depicted	depict	VERB
ejpam-6381	156	27	in	in	ADP
ejpam-6381	156	28	this	this	DET
ejpam-6381	156	29	series	series	NOUN
ejpam-6381	156	30	,	,	PUNCT
ejpam-6381	156	31	it	it	PRON
ejpam-6381	156	32	is	be	AUX
ejpam-6381	156	33	necessary	necessary	ADJ
ejpam-6381	156	34	to	to	PART
ejpam-6381	156	35	truncate	truncate	VERB
ejpam-6381	156	36	the	the	DET
ejpam-6381	156	37	resulting	result	VERB
ejpam-6381	156	38	series	series	NOUN
ejpam-6381	156	39	and	and	CCONJ
ejpam-6381	156	40	follow	follow	VERB
ejpam-6381	156	41	a	a	DET
ejpam-6381	156	42	practical	practical	ADJ
ejpam-6381	156	43	procedure	procedure	NOUN
ejpam-6381	156	44	to	to	PART
ejpam-6381	156	45	achieve	achieve	VERB
ejpam-6381	156	46	this	this	DET
ejpam-6381	156	47	objective	objective	NOUN
ejpam-6381	156	48	.	.	PUNCT
ejpam-6381	157	1	so	so	ADV
ejpam-6381	157	2	;	;	PUNCT
ejpam-6381	157	3	let	let	VERB
ejpam-6381	157	4	x1n(t	x1n(t	PROPN
ejpam-6381	157	5	)	)	PUNCT
ejpam-6381	157	6	,	,	PUNCT
ejpam-6381	157	7	x2n(t	x2n(t	PROPN
ejpam-6381	157	8	)	)	PUNCT
ejpam-6381	157	9	,	,	PUNCT
ejpam-6381	157	10	x3n(t	x3n(t	PROPN
ejpam-6381	157	11	)	)	PUNCT
ejpam-6381	157	12	,	,	PUNCT
ejpam-6381	157	13	x4n(t	x4n(t	PROPN
ejpam-6381	157	14	)	)	PUNCT
ejpam-6381	157	15	to	to	PART
ejpam-6381	157	16	denot	denot	VERB
ejpam-6381	157	17	the	the	DET
ejpam-6381	157	18	n	n	ADV
ejpam-6381	157	19	-	-	PUNCT
ejpam-6381	157	20	th	th	X
ejpam-6381	157	21	truncated	truncate	VERB
ejpam-6381	157	22	series	series	NOUN
ejpam-6381	157	23	solution	solution	NOUN
ejpam-6381	157	24	of	of	ADP
ejpam-6381	157	25	x1(t	x1(t	PROPN
ejpam-6381	157	26	)	)	PUNCT
ejpam-6381	157	27	,	,	PUNCT
ejpam-6381	157	28	x2(t	x2(t	PROPN
ejpam-6381	157	29	)	)	PUNCT
ejpam-6381	157	30	,	,	PUNCT
ejpam-6381	157	31	x3(t	x3(t	PROPN
ejpam-6381	157	32	)	)	PUNCT
ejpam-6381	157	33	,	,	PUNCT
ejpam-6381	157	34	x4(t	x4(t	PROPN
ejpam-6381	157	35	)	)	PUNCT
ejpam-6381	157	36	,	,	PUNCT
ejpam-6381	157	37	in	in	ADP
ejpam-6381	157	38	that	that	DET
ejpam-6381	157	39	order	order	NOUN
ejpam-6381	157	40	.	.	PUNCT
ejpam-6381	158	1	that	that	PRON
ejpam-6381	158	2	is	be	AUX
ejpam-6381	158	3	:	:	PUNCT
ejpam-6381	158	4			X
ejpam-6381	158	5	x1n(t	x1n(t	PROPN
ejpam-6381	158	6	)	)	PUNCT
ejpam-6381	158	7	=	=	SYM
ejpam-6381	159	1	x10	x10	NOUN
ejpam-6381	159	2	+	+	CCONJ
ejpam-6381	160	1	∞∑	∞∑	PROPN
ejpam-6381	160	2	k=0	k=0	PROPN
ejpam-6381	160	3	a1k	a1k	PROPN
ejpam-6381	160	4	tkν	tkν	X
ejpam-6381	160	5	γ(1	γ(1	PROPN
ejpam-6381	160	6	+	+	NUM
ejpam-6381	160	7	kν	kν	PROPN
ejpam-6381	160	8	)	)	PUNCT
ejpam-6381	160	9	,	,	PUNCT
ejpam-6381	160	10	x2n(t	x2n(t	PROPN
ejpam-6381	160	11	)	)	PUNCT
ejpam-6381	160	12	=	=	SYM
ejpam-6381	161	1	x20	x20	NOUN
ejpam-6381	162	1	+	+	CCONJ
ejpam-6381	162	2	∞∑	∞∑	PROPN
ejpam-6381	162	3	k=0	k=0	PROPN
ejpam-6381	162	4	a2k	a2k	X
ejpam-6381	162	5	tkν	tkν	X
ejpam-6381	162	6	γ(1	γ(1	PROPN
ejpam-6381	162	7	+	+	CCONJ
ejpam-6381	162	8	kν	kν	PROPN
ejpam-6381	162	9	)	)	PUNCT
ejpam-6381	162	10	,	,	PUNCT
ejpam-6381	162	11	x3n(t	x3n(t	PROPN
ejpam-6381	162	12	)	)	PUNCT
ejpam-6381	163	1	=	=	SYM
ejpam-6381	163	2	x30	x30	NOUN
ejpam-6381	164	1	+	+	CCONJ
ejpam-6381	165	1	∞∑	∞∑	PROPN
ejpam-6381	165	2	k=0	k=0	PROPN
ejpam-6381	165	3	a3k	a3k	ADJ
ejpam-6381	165	4	tkν	tkν	X
ejpam-6381	166	1	γ(1	γ(1	PROPN
ejpam-6381	166	2	+	+	CCONJ
ejpam-6381	166	3	kν	kν	PROPN
ejpam-6381	166	4	)	)	PUNCT
ejpam-6381	166	5	,	,	PUNCT
ejpam-6381	166	6	x4n(t	x4n(t	PROPN
ejpam-6381	166	7	)	)	PUNCT
ejpam-6381	166	8	=	=	SYM
ejpam-6381	167	1	x40	x40	NOUN
ejpam-6381	167	2	+	+	CCONJ
ejpam-6381	167	3	∞∑	∞∑	PROPN
ejpam-6381	167	4	k=0	k=0	PROPN
ejpam-6381	167	5	a4k	a4k	PROPN
ejpam-6381	167	6	tkν	tkν	PROPN
ejpam-6381	167	7	γ(1	γ(1	PROPN
ejpam-6381	167	8	+	+	CCONJ
ejpam-6381	167	9	kν	kν	PROPN
ejpam-6381	167	10	)	)	PUNCT
ejpam-6381	167	11	.	.	PUNCT
ejpam-6381	168	1	(	(	PUNCT
ejpam-6381	168	2	14	14	NUM
ejpam-6381	168	3	)	)	PUNCT
ejpam-6381	168	4	i.kadri	i.kadri	X
ejpam-6381	168	5	et	et	PROPN
ejpam-6381	168	6	al	al	PROPN
ejpam-6381	168	7	.	.	PUNCT
ejpam-6381	168	8	/	/	SYM
ejpam-6381	168	9	eur	eur	PROPN
ejpam-6381	168	10	.	.	PUNCT
ejpam-6381	169	1	j.	j.	PROPN
ejpam-6381	169	2	pure	pure	PROPN
ejpam-6381	169	3	appl	appl	PROPN
ejpam-6381	169	4	.	.	PROPN
ejpam-6381	169	5	math	math	PROPN
ejpam-6381	169	6	,	,	PUNCT
ejpam-6381	169	7	18	18	NUM
ejpam-6381	169	8	(	(	PUNCT
ejpam-6381	169	9	3	3	NUM
ejpam-6381	169	10	)	)	PUNCT
ejpam-6381	169	11	(	(	PUNCT
ejpam-6381	169	12	2025	2025	NUM
ejpam-6381	169	13	)	)	PUNCT
ejpam-6381	169	14	,	,	PUNCT
ejpam-6381	169	15	6381	6381	NUM
ejpam-6381	169	16	10	10	NUM
ejpam-6381	169	17	of	of	ADP
ejpam-6381	169	18	19	19	NUM
ejpam-6381	169	19	define	define	VERB
ejpam-6381	169	20	the	the	DET
ejpam-6381	169	21	residual	residual	ADJ
ejpam-6381	169	22	functions	function	NOUN
ejpam-6381	169	23	for	for	ADP
ejpam-6381	169	24	the	the	DET
ejpam-6381	169	25	system	system	NOUN
ejpam-6381	169	26	:	:	PUNCT
ejpam-6381	169	27			NOUN
ejpam-6381	169	28	res	re	VERB
ejpam-6381	169	29	x1(t	x1(t	PUNCT
ejpam-6381	169	30	)	)	PUNCT
ejpam-6381	170	1	=	=	PUNCT
ejpam-6381	171	1	c	c	NOUN
ejpam-6381	171	2	dν	dν	VERB
ejpam-6381	171	3	0,tx1	0,tx1	ADV
ejpam-6381	171	4	−	−	PROPN
ejpam-6381	171	5	a(x2	a(x2	NOUN
ejpam-6381	172	1	−	−	PROPN
ejpam-6381	172	2	x1)−	x1)−	PROPN
ejpam-6381	172	3	x4	x4	PROPN
ejpam-6381	172	4	,	,	PUNCT
ejpam-6381	172	5	res	re	VERB
ejpam-6381	172	6	x2(t	x2(t	PRON
ejpam-6381	172	7	)	)	PUNCT
ejpam-6381	173	1	=	=	VERB
ejpam-6381	173	2	cdν	cdν	VERB
ejpam-6381	173	3	0,tx2	0,tx2	NOUN
ejpam-6381	173	4	−	−	NOUN
ejpam-6381	174	1	cx2	cx2	NOUN
ejpam-6381	174	2	+	+	CCONJ
ejpam-6381	174	3	10x1x3	10x1x3	NUM
ejpam-6381	174	4	,	,	PUNCT
ejpam-6381	174	5	res	re	VERB
ejpam-6381	174	6	x3(t	x3(t	PRON
ejpam-6381	174	7	)	)	PUNCT
ejpam-6381	174	8	=	=	VERB
ejpam-6381	175	1	cdν	cdν	VERB
ejpam-6381	175	2	0,tx3	0,tx3	PROPN
ejpam-6381	175	3	+	+	CCONJ
ejpam-6381	175	4	bx3	bx3	VERB
ejpam-6381	175	5	−	−	PROPN
ejpam-6381	175	6	10x1x2	10x1x2	NOUN
ejpam-6381	175	7	,	,	PUNCT
ejpam-6381	175	8	res	re	NOUN
ejpam-6381	175	9	x4(t	x4(t	PROPN
ejpam-6381	175	10	)	)	PUNCT
ejpam-6381	176	1	=	=	NOUN
ejpam-6381	176	2	cdν	cdν	VERB
ejpam-6381	176	3	0,tx4	0,tx4	NUM
ejpam-6381	177	1	−	−	PROPN
ejpam-6381	177	2	dx2	dx2	PROPN
ejpam-6381	177	3	−	−	PROPN
ejpam-6381	177	4	x21	x21	PROPN
ejpam-6381	177	5	.	.	PUNCT
ejpam-6381	178	1	(	(	PUNCT
ejpam-6381	178	2	15	15	NUM
ejpam-6381	178	3	)	)	PUNCT
ejpam-6381	178	4	hence	hence	ADV
ejpam-6381	178	5	,	,	PUNCT
ejpam-6381	178	6	the	the	DET
ejpam-6381	178	7	n	n	CCONJ
ejpam-6381	178	8	-	-	PUNCT
ejpam-6381	178	9	th	th	X
ejpam-6381	178	10	residual	residual	ADJ
ejpam-6381	178	11	functions	function	NOUN
ejpam-6381	178	12	of	of	ADP
ejpam-6381	178	13	x1	x1	PROPN
ejpam-6381	178	14	,	,	PUNCT
ejpam-6381	178	15	x2	x2	PROPN
ejpam-6381	178	16	,	,	PUNCT
ejpam-6381	178	17	x3	x3	ADJ
ejpam-6381	178	18	,	,	PUNCT
ejpam-6381	178	19	x4	x4	PROPN
ejpam-6381	178	20	are	be	AUX
ejpam-6381	178	21	:	:	PUNCT
ejpam-6381	178	22			NOUN
ejpam-6381	178	23	res	re	NOUN
ejpam-6381	178	24	x1n(t	x1n(t	PROPN
ejpam-6381	178	25	)	)	PUNCT
ejpam-6381	178	26	=	=	PUNCT
ejpam-6381	179	1	c	c	NOUN
ejpam-6381	179	2	dν	dν	VERB
ejpam-6381	179	3	0,tx1n	0,tx1n	NUM
ejpam-6381	179	4	−	−	PROPN
ejpam-6381	179	5	a(x2n	a(x2n	VERB
ejpam-6381	179	6	−	−	PROPN
ejpam-6381	179	7	x1n)−	x1n)−	PROPN
ejpam-6381	180	1	x4n	x4n	PROPN
ejpam-6381	180	2	,	,	PUNCT
ejpam-6381	180	3	res	re	NOUN
ejpam-6381	180	4	x2n(t	x2n(t	PROPN
ejpam-6381	180	5	)	)	PUNCT
ejpam-6381	181	1	=	=	VERB
ejpam-6381	181	2	cdν	cdν	VERB
ejpam-6381	181	3	0,tx2n	0,tx2n	PROPN
ejpam-6381	181	4	−	−	PROPN
ejpam-6381	181	5	cx2n	cx2n	PROPN
ejpam-6381	181	6	+	+	CCONJ
ejpam-6381	181	7	10x1nx3n	10x1nx3n	NUM
ejpam-6381	181	8	,	,	PUNCT
ejpam-6381	181	9	res	re	NOUN
ejpam-6381	181	10	x3n(t	x3n(t	PROPN
ejpam-6381	181	11	)	)	PUNCT
ejpam-6381	182	1	=	=	VERB
ejpam-6381	182	2	cdν	cdν	VERB
ejpam-6381	182	3	0,tx3n	0,tx3n	PROPN
ejpam-6381	183	1	+	+	CCONJ
ejpam-6381	183	2	bx3n	bx3n	PROPN
ejpam-6381	183	3	−	−	PROPN
ejpam-6381	183	4	10x1nx2n	10x1nx2n	PROPN
ejpam-6381	183	5	,	,	PUNCT
ejpam-6381	183	6	res	re	NOUN
ejpam-6381	183	7	x4n(t	x4n(t	NOUN
ejpam-6381	183	8	)	)	PUNCT
ejpam-6381	184	1	=	=	PRON
ejpam-6381	184	2	cdν	cdν	VERB
ejpam-6381	184	3	0,tx4n	0,tx4n	NUM
ejpam-6381	185	1	−	−	PROPN
ejpam-6381	186	1	dx2n	dx2n	NOUN
ejpam-6381	186	2	−	−	PROPN
ejpam-6381	187	1	x21n	x21n	PROPN
ejpam-6381	187	2	.	.	PUNCT
ejpam-6381	188	1	(	(	PUNCT
ejpam-6381	188	2	16	16	NUM
ejpam-6381	188	3	)	)	PUNCT
ejpam-6381	188	4	obviously	obviously	ADV
ejpam-6381	188	5	;	;	PUNCT
ejpam-6381	188	6	res	re	NOUN
ejpam-6381	188	7	x1(t	x1(t	PROPN
ejpam-6381	188	8	)	)	PUNCT
ejpam-6381	189	1	=	=	PUNCT
ejpam-6381	189	2	res	re	VERB
ejpam-6381	189	3	x2(t	x2(t	PRON
ejpam-6381	189	4	)	)	PUNCT
ejpam-6381	190	1	=	=	VERB
ejpam-6381	190	2	res	re	VERB
ejpam-6381	190	3	x3(t	x3(t	PRON
ejpam-6381	190	4	)	)	PUNCT
ejpam-6381	190	5	=	=	VERB
ejpam-6381	190	6	res	re	NOUN
ejpam-6381	190	7	x4(t	x4(t	PROPN
ejpam-6381	190	8	)	)	PUNCT
ejpam-6381	190	9	=	=	SYM
ejpam-6381	190	10	0	0	NUM
ejpam-6381	190	11	,	,	PUNCT
ejpam-6381	190	12	∀t	∀t	PROPN
ejpam-6381	190	13	≥	≥	NOUN
ejpam-6381	190	14	0	0	NUM
ejpam-6381	190	15	.	.	PUNCT
ejpam-6381	191	1	so	so	ADV
ejpam-6381	191	2	,	,	PUNCT
ejpam-6381	191	3	limn→∞res	limn→∞res	PROPN
ejpam-6381	191	4	x1n(t	x1n(t	PROPN
ejpam-6381	191	5	)	)	PUNCT
ejpam-6381	192	1	=	=	NOUN
ejpam-6381	192	2	res	re	NOUN
ejpam-6381	192	3	x1(t	x1(t	PROPN
ejpam-6381	192	4	)	)	PUNCT
ejpam-6381	192	5	;	;	PUNCT
ejpam-6381	192	6	limn→∞res	limn→∞re	NOUN
ejpam-6381	192	7	x2n(t	x2n(t	PROPN
ejpam-6381	192	8	)	)	PUNCT
ejpam-6381	193	1	=	=	VERB
ejpam-6381	193	2	res	re	VERB
ejpam-6381	193	3	x2(t	x2(t	PROPN
ejpam-6381	193	4	)	)	PUNCT
ejpam-6381	193	5	;	;	PUNCT
ejpam-6381	193	6	limn→∞res	limn→∞res	PROPN
ejpam-6381	193	7	x3n(t	x3n(t	PROPN
ejpam-6381	193	8	)	)	PUNCT
ejpam-6381	194	1	=	=	VERB
ejpam-6381	194	2	res	re	VERB
ejpam-6381	194	3	x3(t	x3(t	NOUN
ejpam-6381	194	4	)	)	PUNCT
ejpam-6381	194	5	;	;	PUNCT
ejpam-6381	194	6	limn→∞res	limn→∞re	NOUN
ejpam-6381	194	7	x4n(t	x4n(t	PROPN
ejpam-6381	194	8	)	)	PUNCT
ejpam-6381	195	1	=	=	VERB
ejpam-6381	195	2	res	re	VERB
ejpam-6381	195	3	x4(t	x4(t	PROPN
ejpam-6381	195	4	)	)	PUNCT
ejpam-6381	195	5	.	.	PUNCT
ejpam-6381	196	1	as	as	SCONJ
ejpam-6381	196	2	,	,	PUNCT
ejpam-6381	196	3	the	the	DET
ejpam-6381	196	4	caputo	caputo	PROPN
ejpam-6381	196	5	derivative	derivative	NOUN
ejpam-6381	196	6	of	of	ADP
ejpam-6381	196	7	any	any	DET
ejpam-6381	196	8	constant	constant	ADJ
ejpam-6381	196	9	is	be	AUX
ejpam-6381	196	10	zero	zero	NUM
ejpam-6381	196	11	,	,	PUNCT
ejpam-6381	196	12	then	then	ADV
ejpam-6381	196	13	:	:	PUNCT
ejpam-6381	196	14			PROPN
ejpam-6381	196	15	cd	cd	PROPN
ejpam-6381	196	16	(	(	PUNCT
ejpam-6381	196	17	k−1)ν	k−1)ν	INTJ
ejpam-6381	196	18	0,t	0,t	PROPN
ejpam-6381	196	19	res	re	VERB
ejpam-6381	196	20	x1(0	x1(0	PROPN
ejpam-6381	196	21	)	)	PUNCT
ejpam-6381	197	1	=	=	PUNCT
ejpam-6381	198	1	c	c	NOUN
ejpam-6381	198	2	d	d	NOUN
ejpam-6381	198	3	(	(	PUNCT
ejpam-6381	198	4	k−1)ν	k−1)ν	NOUN
ejpam-6381	198	5	0,t	0,t	NOUN
ejpam-6381	198	6	res	re	NOUN
ejpam-6381	198	7	x1k(0	x1k(0	PROPN
ejpam-6381	198	8	)	)	PUNCT
ejpam-6381	198	9	,	,	PUNCT
ejpam-6381	198	10	cd	cd	PROPN
ejpam-6381	198	11	(	(	PUNCT
ejpam-6381	198	12	k−1)ν	k−1)ν	NOUN
ejpam-6381	198	13	0,t	0,t	PROPN
ejpam-6381	198	14	res	re	NOUN
ejpam-6381	198	15	x2(0	x2(0	PROPN
ejpam-6381	198	16	)	)	PUNCT
ejpam-6381	198	17	=	=	PUNCT
ejpam-6381	199	1	c	c	NOUN
ejpam-6381	199	2	d	d	NOUN
ejpam-6381	199	3	(	(	PUNCT
ejpam-6381	199	4	k−1)ν	k−1)ν	NOUN
ejpam-6381	199	5	0,t	0,t	PROPN
ejpam-6381	199	6	res	re	NOUN
ejpam-6381	199	7	x2k(0	x2k(0	PROPN
ejpam-6381	199	8	)	)	PUNCT
ejpam-6381	199	9	,	,	PUNCT
ejpam-6381	199	10	cd	cd	PROPN
ejpam-6381	199	11	(	(	PUNCT
ejpam-6381	199	12	k−1)ν	k−1)ν	NOUN
ejpam-6381	199	13	0,t	0,t	PROPN
ejpam-6381	199	14	res	re	NOUN
ejpam-6381	199	15	x3(0	x3(0	PROPN
ejpam-6381	199	16	)	)	PUNCT
ejpam-6381	199	17	=	=	PUNCT
ejpam-6381	200	1	c	c	NOUN
ejpam-6381	200	2	d	d	NOUN
ejpam-6381	200	3	(	(	PUNCT
ejpam-6381	200	4	k−1)ν	k−1)ν	NOUN
ejpam-6381	200	5	0,t	0,t	PROPN
ejpam-6381	200	6	res	re	VERB
ejpam-6381	200	7	x3k(0	x3k(0	PROPN
ejpam-6381	200	8	)	)	PUNCT
ejpam-6381	200	9	,	,	PUNCT
ejpam-6381	200	10	cd	cd	PROPN
ejpam-6381	200	11	(	(	PUNCT
ejpam-6381	200	12	k−1)ν	k−1)ν	NOUN
ejpam-6381	200	13	0,t	0,t	PROPN
ejpam-6381	200	14	res	re	NOUN
ejpam-6381	200	15	x4(0	x4(0	PROPN
ejpam-6381	200	16	)	)	PUNCT
ejpam-6381	200	17	=	=	PUNCT
ejpam-6381	201	1	c	c	NOUN
ejpam-6381	201	2	d	d	NOUN
ejpam-6381	201	3	(	(	PUNCT
ejpam-6381	201	4	k−1)ν	k−1)ν	NOUN
ejpam-6381	201	5	0,t	0,t	NOUN
ejpam-6381	201	6	res	re	NOUN
ejpam-6381	201	7	x4k(0	x4k(0	PROPN
ejpam-6381	201	8	)	)	PUNCT
ejpam-6381	201	9	,	,	PUNCT
ejpam-6381	201	10	(	(	PUNCT
ejpam-6381	201	11	17	17	NUM
ejpam-6381	201	12	)	)	PUNCT
ejpam-6381	201	13	for	for	ADP
ejpam-6381	201	14	k	k	PROPN
ejpam-6381	201	15	=	=	SYM
ejpam-6381	201	16	1	1	NUM
ejpam-6381	201	17	,	,	PUNCT
ejpam-6381	201	18	...	...	PUNCT
ejpam-6381	201	19	,	,	PUNCT
ejpam-6381	201	20	n.	n.	PROPN
ejpam-6381	201	21	now	now	ADV
ejpam-6381	201	22	,	,	PUNCT
ejpam-6381	201	23	to	to	PART
ejpam-6381	201	24	obtain	obtain	VERB
ejpam-6381	201	25	the	the	DET
ejpam-6381	201	26	coefficients	coefficient	NOUN
ejpam-6381	201	27	a1k	a1k	PROPN
ejpam-6381	201	28	,	,	PUNCT
ejpam-6381	201	29	a2k	a2k	ADJ
ejpam-6381	201	30	,	,	PUNCT
ejpam-6381	201	31	a3k	a3k	ADV
ejpam-6381	201	32	,	,	PUNCT
ejpam-6381	201	33	a4k	a4k	PROPN
ejpam-6381	201	34	,	,	PUNCT
ejpam-6381	201	35	k	k	NOUN
ejpam-6381	201	36	=	=	SYM
ejpam-6381	201	37	1	1	NUM
ejpam-6381	201	38	,	,	PUNCT
ejpam-6381	201	39	2	2	NUM
ejpam-6381	201	40	,	,	PUNCT
ejpam-6381	201	41	3	3	NUM
ejpam-6381	201	42	,	,	PUNCT
ejpam-6381	201	43	...	...	PUNCT
ejpam-6381	201	44	,	,	PUNCT
ejpam-6381	201	45	n	n	CCONJ
ejpam-6381	201	46	,	,	PUNCT
ejpam-6381	201	47	substituting	substitute	VERB
ejpam-6381	201	48	the	the	DET
ejpam-6381	201	49	ntruncated	ntruncate	VERB
ejpam-6381	201	50	series	series	NOUN
ejpam-6381	201	51	of	of	ADP
ejpam-6381	201	52	x1(t	x1(t	PROPN
ejpam-6381	201	53	)	)	PUNCT
ejpam-6381	201	54	,	,	PUNCT
ejpam-6381	201	55	x2(t	x2(t	PROPN
ejpam-6381	201	56	)	)	PUNCT
ejpam-6381	201	57	,	,	PUNCT
ejpam-6381	201	58	x3(t	x3(t	PROPN
ejpam-6381	201	59	)	)	PUNCT
ejpam-6381	201	60	,	,	PUNCT
ejpam-6381	201	61	x4(t	x4(t	PROPN
ejpam-6381	201	62	)	)	PUNCT
ejpam-6381	201	63	into	into	ADP
ejpam-6381	201	64	(	(	PUNCT
ejpam-6381	201	65	13	13	NUM
ejpam-6381	201	66	)	)	PUNCT
ejpam-6381	201	67	,	,	PUNCT
ejpam-6381	201	68	and	and	CCONJ
ejpam-6381	201	69	then	then	ADV
ejpam-6381	201	70	apply	apply	VERB
ejpam-6381	201	71	the	the	DET
ejpam-6381	201	72	caputo	caputo	PROPN
ejpam-6381	201	73	operators	operators	PROPN
ejpam-6381	201	74	cd	cd	PROPN
ejpam-6381	201	75	(	(	PUNCT
ejpam-6381	201	76	n−1)ν	n−1)ν	NOUN
ejpam-6381	201	77	0,t	0,t	NOUN
ejpam-6381	201	78	on	on	ADP
ejpam-6381	201	79	res	re	NOUN
ejpam-6381	201	80	x1n(t	x1n(t	PROPN
ejpam-6381	201	81	)	)	PUNCT
ejpam-6381	201	82	,	,	PUNCT
ejpam-6381	201	83	res	re	NOUN
ejpam-6381	201	84	x2n(t	x2n(t	PROPN
ejpam-6381	201	85	)	)	PUNCT
ejpam-6381	201	86	,	,	PUNCT
ejpam-6381	201	87	res	re	VERB
ejpam-6381	201	88	x3n(t	x3n(t	PROPN
ejpam-6381	201	89	)	)	PUNCT
ejpam-6381	201	90	,	,	PUNCT
ejpam-6381	201	91	res	re	NOUN
ejpam-6381	201	92	x4n(t	x4n(t	NOUN
ejpam-6381	201	93	)	)	PUNCT
ejpam-6381	201	94	resp	resp	NOUN
ejpam-6381	201	95	.	.	PUNCT
ejpam-6381	202	1	,	,	PUNCT
ejpam-6381	202	2	we	we	PRON
ejpam-6381	202	3	get	get	VERB
ejpam-6381	202	4	:	:	PUNCT
ejpam-6381	202	5			PROPN
ejpam-6381	202	6	cd	cd	PROPN
ejpam-6381	202	7	(	(	PUNCT
ejpam-6381	202	8	n−1)ν	n−1)ν	NOUN
ejpam-6381	202	9	0,t	0,t	PROPN
ejpam-6381	202	10	res	re	VERB
ejpam-6381	202	11	x1n(0	x1n(0	PROPN
ejpam-6381	202	12	)	)	PUNCT
ejpam-6381	202	13	=	=	SYM
ejpam-6381	202	14	0	0	NUM
ejpam-6381	202	15	,	,	PUNCT
ejpam-6381	202	16	cd	cd	PROPN
ejpam-6381	202	17	(	(	PUNCT
ejpam-6381	202	18	n−1)ν	n−1)ν	NOUN
ejpam-6381	202	19	0,t	0,t	PROPN
ejpam-6381	202	20	res	re	VERB
ejpam-6381	202	21	x2n(0	x2n(0	PROPN
ejpam-6381	202	22	)	)	PUNCT
ejpam-6381	202	23	=	=	SYM
ejpam-6381	202	24	0	0	NUM
ejpam-6381	202	25	,	,	PUNCT
ejpam-6381	202	26	cd	cd	PROPN
ejpam-6381	202	27	(	(	PUNCT
ejpam-6381	202	28	n−1)ν	n−1)ν	NOUN
ejpam-6381	202	29	0,t	0,t	PROPN
ejpam-6381	202	30	res	re	NOUN
ejpam-6381	202	31	x3n(0	x3n(0	PROPN
ejpam-6381	202	32	)	)	PUNCT
ejpam-6381	202	33	=	=	SYM
ejpam-6381	203	1	0	0	NUM
ejpam-6381	203	2	,	,	PUNCT
ejpam-6381	203	3	cd	cd	PROPN
ejpam-6381	203	4	(	(	PUNCT
ejpam-6381	203	5	n−1)ν	n−1)ν	NOUN
ejpam-6381	203	6	0,t	0,t	PROPN
ejpam-6381	203	7	res	re	VERB
ejpam-6381	203	8	x4n(0	x4n(0	PROPN
ejpam-6381	203	9	)	)	PUNCT
ejpam-6381	203	10	=	=	SYM
ejpam-6381	203	11	0	0	NUM
ejpam-6381	203	12	,	,	PUNCT
ejpam-6381	203	13	(	(	PUNCT
ejpam-6381	203	14	18	18	NUM
ejpam-6381	203	15	)	)	PUNCT
ejpam-6381	203	16	for	for	ADP
ejpam-6381	203	17	n	n	NOUN
ejpam-6381	203	18	=	=	SYM
ejpam-6381	203	19	1	1	NUM
ejpam-6381	203	20	,	,	PUNCT
ejpam-6381	203	21	2	2	NUM
ejpam-6381	203	22	,	,	PUNCT
ejpam-6381	203	23	3	3	NUM
ejpam-6381	203	24	,	,	PUNCT
ejpam-6381	203	25	....	....	PUNCT
ejpam-6381	203	26	let	let	VERB
ejpam-6381	203	27	us	we	PRON
ejpam-6381	203	28	find	find	VERB
ejpam-6381	203	29	the	the	DET
ejpam-6381	203	30	first	first	ADJ
ejpam-6381	203	31	few	few	ADJ
ejpam-6381	203	32	coefficients	coefficient	NOUN
ejpam-6381	203	33	:	:	PUNCT
ejpam-6381	203	34	•	•	NOUN
ejpam-6381	203	35	for	for	ADP
ejpam-6381	203	36	n	n	NOUN
ejpam-6381	203	37	=	=	SYM
ejpam-6381	203	38	1	1	NUM
ejpam-6381	203	39	:	:	PUNCT
ejpam-6381	203	40	i.kadri	i.kadri	X
ejpam-6381	203	41	et	et	PROPN
ejpam-6381	203	42	al	al	PROPN
ejpam-6381	203	43	.	.	PUNCT
ejpam-6381	203	44	/	/	SYM
ejpam-6381	203	45	eur	eur	PROPN
ejpam-6381	203	46	.	.	PUNCT
ejpam-6381	204	1	j.	j.	PROPN
ejpam-6381	204	2	pure	pure	PROPN
ejpam-6381	204	3	appl	appl	PROPN
ejpam-6381	204	4	.	.	PROPN
ejpam-6381	204	5	math	math	PROPN
ejpam-6381	204	6	,	,	PUNCT
ejpam-6381	204	7	18	18	NUM
ejpam-6381	204	8	(	(	PUNCT
ejpam-6381	204	9	3	3	NUM
ejpam-6381	204	10	)	)	PUNCT
ejpam-6381	204	11	(	(	PUNCT
ejpam-6381	204	12	2025	2025	NUM
ejpam-6381	204	13	)	)	PUNCT
ejpam-6381	204	14	,	,	PUNCT
ejpam-6381	204	15	6381	6381	NUM
ejpam-6381	204	16	11	11	NUM
ejpam-6381	204	17	of	of	ADP
ejpam-6381	204	18	19	19	NUM
ejpam-6381	204	19	x1(t	x1(t	PUNCT
ejpam-6381	204	20	)	)	PUNCT
ejpam-6381	205	1	=	=	SYM
ejpam-6381	205	2	x10	x10	PROPN
ejpam-6381	206	1	+	+	NUM
ejpam-6381	206	2	a11	a11	PROPN
ejpam-6381	206	3	tν	tν	X
ejpam-6381	206	4	γ(ν	γ(ν	PROPN
ejpam-6381	207	1	+	+	CCONJ
ejpam-6381	208	1	1	1	X
ejpam-6381	208	2	)	)	PUNCT
ejpam-6381	208	3	=	=	SYM
ejpam-6381	208	4	1	1	NUM
ejpam-6381	208	5	+	+	NUM
ejpam-6381	208	6	a11	a11	PROPN
ejpam-6381	208	7	γ(ν	γ(ν	PROPN
ejpam-6381	208	8	+	+	CCONJ
ejpam-6381	208	9	1	1	X
ejpam-6381	208	10	)	)	PUNCT
ejpam-6381	208	11	tν	tν	NOUN
ejpam-6381	208	12	,	,	PUNCT
ejpam-6381	208	13	x2(t	x2(t	PROPN
ejpam-6381	208	14	)	)	PUNCT
ejpam-6381	208	15	=	=	SYM
ejpam-6381	208	16	x20	x20	NOUN
ejpam-6381	208	17	+	+	CCONJ
ejpam-6381	208	18	a21	a21	PROPN
ejpam-6381	208	19	tν	tν	X
ejpam-6381	208	20	γ(ν	γ(ν	PROPN
ejpam-6381	209	1	+	+	CCONJ
ejpam-6381	210	1	1	1	X
ejpam-6381	210	2	)	)	PUNCT
ejpam-6381	210	3	=	=	SYM
ejpam-6381	210	4	1	1	NUM
ejpam-6381	210	5	+	+	NUM
ejpam-6381	210	6	a21	a21	NOUN
ejpam-6381	210	7	γ(ν	γ(ν	PROPN
ejpam-6381	210	8	+	+	CCONJ
ejpam-6381	210	9	1	1	X
ejpam-6381	210	10	)	)	PUNCT
ejpam-6381	210	11	tν	tν	NOUN
ejpam-6381	210	12	,	,	PUNCT
ejpam-6381	210	13	x3(t	x3(t	X
ejpam-6381	210	14	)	)	PUNCT
ejpam-6381	210	15	=	=	SYM
ejpam-6381	210	16	x30	x30	PROPN
ejpam-6381	211	1	+	+	NUM
ejpam-6381	211	2	a31	a31	NOUN
ejpam-6381	211	3	tν	tν	NOUN
ejpam-6381	211	4	γ(ν	γ(ν	PROPN
ejpam-6381	212	1	+	+	CCONJ
ejpam-6381	213	1	1	1	X
ejpam-6381	213	2	)	)	PUNCT
ejpam-6381	213	3	=	=	SYM
ejpam-6381	213	4	1	1	NUM
ejpam-6381	213	5	+	+	NUM
ejpam-6381	213	6	a31	a31	NOUN
ejpam-6381	213	7	γ(ν	γ(ν	PROPN
ejpam-6381	214	1	+	+	CCONJ
ejpam-6381	214	2	1	1	X
ejpam-6381	214	3	)	)	PUNCT
ejpam-6381	214	4	tν	tν	NOUN
ejpam-6381	214	5	,	,	PUNCT
ejpam-6381	214	6	x4(t	x4(t	PROPN
ejpam-6381	214	7	)	)	PUNCT
ejpam-6381	214	8	=	=	SYM
ejpam-6381	214	9	x40	x40	PROPN
ejpam-6381	214	10	+	+	CCONJ
ejpam-6381	214	11	a41	a41	VERB
ejpam-6381	214	12	tν	tν	X
ejpam-6381	214	13	γ(ν	γ(ν	PROPN
ejpam-6381	215	1	+	+	CCONJ
ejpam-6381	216	1	1	1	X
ejpam-6381	216	2	)	)	PUNCT
ejpam-6381	216	3	=	=	SYM
ejpam-6381	216	4	1	1	NUM
ejpam-6381	216	5	+	+	CCONJ
ejpam-6381	216	6	a41	a41	VERB
ejpam-6381	216	7	γ(ν	γ(ν	PROPN
ejpam-6381	217	1	+	+	CCONJ
ejpam-6381	217	2	1	1	X
ejpam-6381	217	3	)	)	PUNCT
ejpam-6381	217	4	tν	tν	NOUN
ejpam-6381	217	5	.	.	PUNCT
ejpam-6381	218	1	(	(	PUNCT
ejpam-6381	218	2	19	19	NUM
ejpam-6381	218	3	)	)	PUNCT
ejpam-6381	218	4	according	accord	VERB
ejpam-6381	218	5	to	to	ADP
ejpam-6381	218	6	(	(	PUNCT
ejpam-6381	218	7	16	16	NUM
ejpam-6381	218	8	)	)	PUNCT
ejpam-6381	218	9	,	,	PUNCT
ejpam-6381	218	10	the	the	DET
ejpam-6381	218	11	first	first	ADJ
ejpam-6381	218	12	residual	residual	ADJ
ejpam-6381	218	13	functions	function	NOUN
ejpam-6381	218	14	of	of	ADP
ejpam-6381	218	15	x1(t	x1(t	PROPN
ejpam-6381	218	16	)	)	PUNCT
ejpam-6381	218	17	,	,	PUNCT
ejpam-6381	218	18	x2(t	x2(t	PROPN
ejpam-6381	218	19	)	)	PUNCT
ejpam-6381	218	20	,	,	PUNCT
ejpam-6381	218	21	x3(t	x3(t	PROPN
ejpam-6381	218	22	)	)	PUNCT
ejpam-6381	218	23	,	,	PUNCT
ejpam-6381	218	24	x4(t	x4(t	PROPN
ejpam-6381	218	25	)	)	PUNCT
ejpam-6381	218	26	are	be	AUX
ejpam-6381	218	27	:	:	PUNCT
ejpam-6381	218	28			PUNCT
ejpam-6381	218	29	res	re	NOUN
ejpam-6381	218	30	x11(t	x11(t	ADJ
ejpam-6381	218	31	)	)	PUNCT
ejpam-6381	219	1	=	=	PUNCT
ejpam-6381	219	2	c	c	X
ejpam-6381	219	3	dν	dν	VERB
ejpam-6381	219	4	0,tx11	0,tx11	PROPN
ejpam-6381	219	5	−	−	PROPN
ejpam-6381	219	6	a(x21	a(x21	NOUN
ejpam-6381	220	1	−	−	PROPN
ejpam-6381	220	2	x11)−	x11)−	PROPN
ejpam-6381	220	3	x41	x41	PROPN
ejpam-6381	220	4	,	,	PUNCT
ejpam-6381	220	5	=	=	SYM
ejpam-6381	220	6	a11	a11	PROPN
ejpam-6381	221	1	−	−	PROPN
ejpam-6381	221	2	1−	1−	NUM
ejpam-6381	221	3	a41	a41	PROPN
ejpam-6381	221	4	t	t	PROPN
ejpam-6381	221	5	ν	ν	X
ejpam-6381	221	6	γ(ν	γ(ν	PROPN
ejpam-6381	222	1	+	+	PROPN
ejpam-6381	222	2	1	1	NUM
ejpam-6381	222	3	)	)	PUNCT
ejpam-6381	222	4	−	−	NOUN
ejpam-6381	222	5	a	a	DET
ejpam-6381	222	6	a21	a21	NOUN
ejpam-6381	222	7	t	t	PROPN
ejpam-6381	222	8	ν	ν	X
ejpam-6381	222	9	γ(ν	γ(ν	PROPN
ejpam-6381	223	1	+	+	CCONJ
ejpam-6381	223	2	1	1	NUM
ejpam-6381	223	3	)	)	PUNCT
ejpam-6381	224	1	+	+	CCONJ
ejpam-6381	224	2	a	a	DET
ejpam-6381	224	3	a11	a11	PROPN
ejpam-6381	224	4	t	t	PROPN
ejpam-6381	224	5	ν	ν	X
ejpam-6381	224	6	γ(ν	γ(ν	PROPN
ejpam-6381	224	7	+	+	PROPN
ejpam-6381	224	8	1	1	NUM
ejpam-6381	224	9	)	)	PUNCT
ejpam-6381	224	10	,	,	PUNCT
ejpam-6381	224	11	(	(	PUNCT
ejpam-6381	224	12	20	20	X
ejpam-6381	224	13	)	)	PUNCT
ejpam-6381	224	14	and	and	NOUN
ejpam-6381	224	15	res	re	VERB
ejpam-6381	224	16	x21(t	x21(t	PUNCT
ejpam-6381	224	17	)	)	PUNCT
ejpam-6381	225	1	=	=	PUNCT
ejpam-6381	226	1	c	c	NOUN
ejpam-6381	226	2	dν	dν	VERB
ejpam-6381	226	3	0,tx21	0,tx21	NUM
ejpam-6381	227	1	−	−	PROPN
ejpam-6381	227	2	cx2n	cx2n	PROPN
ejpam-6381	227	3	+	+	CCONJ
ejpam-6381	227	4	10x1nx3n	10x1nx3n	PROPN
ejpam-6381	227	5	=	=	SYM
ejpam-6381	227	6	a21	a21	NOUN
ejpam-6381	227	7	−	−	NOUN
ejpam-6381	227	8	2	2	NUM
ejpam-6381	228	1	+	+	CCONJ
ejpam-6381	228	2	d	d	PROPN
ejpam-6381	228	3	a11	a11	PROPN
ejpam-6381	228	4	t	t	PROPN
ejpam-6381	228	5	ν	ν	X
ejpam-6381	228	6	γ(ν	γ(ν	PROPN
ejpam-6381	229	1	+	+	PROPN
ejpam-6381	229	2	1	1	X
ejpam-6381	229	3	)	)	PUNCT
ejpam-6381	229	4	−	−	PROPN
ejpam-6381	229	5	c	c	PROPN
ejpam-6381	229	6	a21	a21	PROPN
ejpam-6381	229	7	t	t	PROPN
ejpam-6381	229	8	ν	ν	X
ejpam-6381	229	9	γ(ν	γ(ν	PROPN
ejpam-6381	230	1	+	+	CCONJ
ejpam-6381	230	2	1	1	NUM
ejpam-6381	230	3	)	)	PUNCT
ejpam-6381	230	4	+	+	CCONJ
ejpam-6381	230	5	d	d	PROPN
ejpam-6381	230	6	a31	a31	PROPN
ejpam-6381	230	7	t	t	PROPN
ejpam-6381	230	8	ν	ν	X
ejpam-6381	230	9	γ(ν	γ(ν	PROPN
ejpam-6381	230	10	+	+	CCONJ
ejpam-6381	230	11	1	1	NUM
ejpam-6381	230	12	)	)	PUNCT
ejpam-6381	230	13	+	+	CCONJ
ejpam-6381	230	14	d	d	PROPN
ejpam-6381	230	15	a11a31	a11a31	PROPN
ejpam-6381	230	16	t	t	PROPN
ejpam-6381	230	17	2ν	2ν	NOUN
ejpam-6381	230	18	(	(	PUNCT
ejpam-6381	230	19	γ(ν	γ(ν	PROPN
ejpam-6381	231	1	+	+	CCONJ
ejpam-6381	231	2	1))2	1))2	NUM
ejpam-6381	231	3	,	,	PUNCT
ejpam-6381	231	4	(	(	PUNCT
ejpam-6381	231	5	21	21	NUM
ejpam-6381	231	6	)	)	PUNCT
ejpam-6381	231	7	also	also	AUX
ejpam-6381	231	8	res	re	NOUN
ejpam-6381	231	9	x31(t	x31(t	PUNCT
ejpam-6381	231	10	)	)	PUNCT
ejpam-6381	232	1	=	=	PUNCT
ejpam-6381	232	2	c	c	NOUN
ejpam-6381	232	3	dν	dν	VERB
ejpam-6381	232	4	0,tx31	0,tx31	NOUN
ejpam-6381	232	5	+	+	CCONJ
ejpam-6381	232	6	bx31	bx31	PROPN
ejpam-6381	232	7	−	−	PROPN
ejpam-6381	232	8	10x11x21	10x11x21	NUM
ejpam-6381	232	9	,	,	PUNCT
ejpam-6381	232	10	=	=	SYM
ejpam-6381	232	11	a31	a31	NOUN
ejpam-6381	232	12	−	−	PROPN
ejpam-6381	232	13	7	7	NUM
ejpam-6381	233	1	+	+	SYM
ejpam-6381	233	2	b	b	NOUN
ejpam-6381	233	3	a31	a31	PROPN
ejpam-6381	233	4	t	t	PROPN
ejpam-6381	233	5	ν	ν	X
ejpam-6381	233	6	γ(ν	γ(ν	PROPN
ejpam-6381	234	1	+	+	PROPN
ejpam-6381	234	2	1	1	X
ejpam-6381	234	3	)	)	PUNCT
ejpam-6381	234	4	−	−	PROPN
ejpam-6381	235	1	d	d	SYM
ejpam-6381	235	2	a21	a21	PROPN
ejpam-6381	235	3	t	t	PROPN
ejpam-6381	235	4	ν	ν	X
ejpam-6381	235	5	γ(ν	γ(ν	PROPN
ejpam-6381	236	1	+	+	PROPN
ejpam-6381	236	2	1	1	X
ejpam-6381	236	3	)	)	PUNCT
ejpam-6381	236	4	−	−	PROPN
ejpam-6381	237	1	d	d	SYM
ejpam-6381	237	2	a11	a11	PROPN
ejpam-6381	237	3	t	t	PROPN
ejpam-6381	237	4	ν	ν	X
ejpam-6381	237	5	γ(ν	γ(ν	PROPN
ejpam-6381	238	1	+	+	PROPN
ejpam-6381	238	2	1	1	X
ejpam-6381	238	3	)	)	PUNCT
ejpam-6381	238	4	−	−	PROPN
ejpam-6381	238	5	d	d	X
ejpam-6381	238	6	a11a21	a11a21	PROPN
ejpam-6381	238	7	t	t	PROPN
ejpam-6381	238	8	2ν	2ν	NOUN
ejpam-6381	238	9	(	(	PUNCT
ejpam-6381	238	10	γ(ν	γ(ν	PROPN
ejpam-6381	238	11	+	+	CCONJ
ejpam-6381	238	12	1))2	1))2	NUM
ejpam-6381	238	13	,	,	PUNCT
ejpam-6381	238	14	(	(	PUNCT
ejpam-6381	238	15	22	22	NUM
ejpam-6381	238	16	)	)	PUNCT
ejpam-6381	238	17	and	and	CCONJ
ejpam-6381	238	18			PRON
ejpam-6381	238	19	res	re	VERB
ejpam-6381	238	20	x41(t	x41(t	PROPN
ejpam-6381	238	21	)	)	PUNCT
ejpam-6381	239	1	=	=	PUNCT
ejpam-6381	240	1	c	c	NOUN
ejpam-6381	240	2	dν	dν	AUX
ejpam-6381	240	3	0,tx41	0,tx41	NOUN
ejpam-6381	240	4	−	−	PROPN
ejpam-6381	241	1	dx21	dx21	PROPN
ejpam-6381	241	2	−	−	PROPN
ejpam-6381	241	3	x211	x211	PROPN
ejpam-6381	241	4	,	,	PUNCT
ejpam-6381	241	5	=	=	SYM
ejpam-6381	241	6	a41	a41	VERB
ejpam-6381	241	7	−	−	PROPN
ejpam-6381	241	8	11−	11−	NUM
ejpam-6381	241	9	d	d	NOUN
ejpam-6381	241	10	a21	a21	PROPN
ejpam-6381	241	11	t	t	PROPN
ejpam-6381	241	12	ν	ν	X
ejpam-6381	241	13	γ(ν	γ(ν	PROPN
ejpam-6381	242	1	+	+	PROPN
ejpam-6381	242	2	1	1	X
ejpam-6381	242	3	)	)	PUNCT
ejpam-6381	242	4	−	−	PROPN
ejpam-6381	242	5	2	2	NUM
ejpam-6381	242	6	a11	a11	PROPN
ejpam-6381	242	7	t	t	PROPN
ejpam-6381	242	8	ν	ν	X
ejpam-6381	242	9	γ(ν	γ(ν	PROPN
ejpam-6381	243	1	+	+	PROPN
ejpam-6381	243	2	1	1	NUM
ejpam-6381	243	3	)	)	PUNCT
ejpam-6381	243	4	−	−	PROPN
ejpam-6381	244	1	a211	a211	PROPN
ejpam-6381	244	2	t	t	PROPN
ejpam-6381	244	3	2ν	2ν	NOUN
ejpam-6381	244	4	(	(	PUNCT
ejpam-6381	244	5	γ(ν	γ(ν	PROPN
ejpam-6381	244	6	+	+	CCONJ
ejpam-6381	244	7	1))2	1))2	NUM
ejpam-6381	244	8	.	.	PUNCT
ejpam-6381	245	1	(	(	PUNCT
ejpam-6381	245	2	23	23	NUM
ejpam-6381	245	3	)	)	PUNCT
ejpam-6381	245	4	using	use	VERB
ejpam-6381	245	5	(	(	PUNCT
ejpam-6381	245	6	18	18	NUM
ejpam-6381	245	7	)	)	PUNCT
ejpam-6381	245	8	,	,	PUNCT
ejpam-6381	245	9	we	we	PRON
ejpam-6381	245	10	get	get	VERB
ejpam-6381	245	11	a11	a11	PROPN
ejpam-6381	245	12	,	,	PUNCT
ejpam-6381	245	13	a21	a21	PROPN
ejpam-6381	245	14	,	,	PUNCT
ejpam-6381	245	15	a31	a31	PROPN
ejpam-6381	245	16	,	,	PUNCT
ejpam-6381	245	17	a41	a41	NOUN
ejpam-6381	245	18	,	,	PUNCT
ejpam-6381	245	19	so	so	SCONJ
ejpam-6381	245	20	that	that	SCONJ
ejpam-6381	245	21	the	the	DET
ejpam-6381	245	22	first	first	ADJ
ejpam-6381	245	23	rps	rps	PROPN
ejpam-6381	245	24	solution	solution	NOUN
ejpam-6381	245	25	of	of	ADP
ejpam-6381	245	26	eqs	eqs	PROPN
ejpam-6381	245	27	.	.	PUNCT
ejpam-6381	246	1	(	(	PUNCT
ejpam-6381	246	2	11	11	NUM
ejpam-6381	246	3	-	-	SYM
ejpam-6381	246	4	12	12	NUM
ejpam-6381	246	5	)	)	PUNCT
ejpam-6381	246	6	can	can	AUX
ejpam-6381	246	7	be	be	AUX
ejpam-6381	246	8	articulated	articulate	VERB
ejpam-6381	246	9	as	as	ADP
ejpam-6381	246	10	:	:	PUNCT
ejpam-6381	246	11			PROPN
ejpam-6381	246	12	x11(t	x11(t	ADJ
ejpam-6381	246	13	)	)	PUNCT
ejpam-6381	247	1	=	=	SYM
ejpam-6381	247	2	1	1	NUM
ejpam-6381	248	1	+	+	NUM
ejpam-6381	248	2	tν	tν	NOUN
ejpam-6381	248	3	γ(ν	γ(ν	PROPN
ejpam-6381	249	1	+	+	CCONJ
ejpam-6381	249	2	1	1	NUM
ejpam-6381	249	3	)	)	PUNCT
ejpam-6381	249	4	,	,	PUNCT
ejpam-6381	249	5	x21(t	x21(t	X
ejpam-6381	249	6	)	)	PUNCT
ejpam-6381	250	1	=	=	SYM
ejpam-6381	250	2	1	1	NUM
ejpam-6381	251	1	+	+	NUM
ejpam-6381	251	2	2tν	2tν	ADJ
ejpam-6381	251	3	γ(ν	γ(ν	PROPN
ejpam-6381	251	4	+	+	CCONJ
ejpam-6381	251	5	1	1	NUM
ejpam-6381	251	6	)	)	PUNCT
ejpam-6381	251	7	,	,	PUNCT
ejpam-6381	251	8	x31(t	x31(t	PUNCT
ejpam-6381	251	9	)	)	PUNCT
ejpam-6381	252	1	=	=	SYM
ejpam-6381	252	2	1	1	NUM
ejpam-6381	253	1	+	+	NUM
ejpam-6381	253	2	7tν	7tν	ADJ
ejpam-6381	253	3	γ(ν	γ(ν	PROPN
ejpam-6381	253	4	+	+	CCONJ
ejpam-6381	253	5	1	1	NUM
ejpam-6381	253	6	)	)	PUNCT
ejpam-6381	253	7	,	,	PUNCT
ejpam-6381	253	8	x41(t	x41(t	PROPN
ejpam-6381	253	9	)	)	PUNCT
ejpam-6381	254	1	=	=	SYM
ejpam-6381	254	2	1	1	NUM
ejpam-6381	255	1	+	+	NUM
ejpam-6381	255	2	11tν	11tν	ADJ
ejpam-6381	255	3	γ(ν	γ(ν	PROPN
ejpam-6381	255	4	+	+	CCONJ
ejpam-6381	255	5	1	1	NUM
ejpam-6381	255	6	)	)	PUNCT
ejpam-6381	255	7	.	.	PUNCT
ejpam-6381	256	1	(	(	PUNCT
ejpam-6381	256	2	24	24	NUM
ejpam-6381	256	3	)	)	PUNCT
ejpam-6381	256	4	•	•	NOUN
ejpam-6381	256	5	for	for	ADP
ejpam-6381	256	6	n	n	NOUN
ejpam-6381	256	7	=	=	SYM
ejpam-6381	256	8	2	2	NUM
ejpam-6381	256	9	:	:	PUNCT
ejpam-6381	256	10	i.kadri	i.kadri	X
ejpam-6381	256	11	et	et	PROPN
ejpam-6381	256	12	al	al	PROPN
ejpam-6381	256	13	.	.	PUNCT
ejpam-6381	256	14	/	/	SYM
ejpam-6381	256	15	eur	eur	PROPN
ejpam-6381	256	16	.	.	PUNCT
ejpam-6381	257	1	j.	j.	PROPN
ejpam-6381	257	2	pure	pure	PROPN
ejpam-6381	257	3	appl	appl	PROPN
ejpam-6381	257	4	.	.	PROPN
ejpam-6381	257	5	math	math	PROPN
ejpam-6381	257	6	,	,	PUNCT
ejpam-6381	257	7	18	18	NUM
ejpam-6381	257	8	(	(	PUNCT
ejpam-6381	257	9	3	3	NUM
ejpam-6381	257	10	)	)	PUNCT
ejpam-6381	257	11	(	(	PUNCT
ejpam-6381	257	12	2025	2025	NUM
ejpam-6381	257	13	)	)	PUNCT
ejpam-6381	257	14	,	,	PUNCT
ejpam-6381	257	15	6381	6381	NUM
ejpam-6381	257	16	12	12	NUM
ejpam-6381	257	17	of	of	ADP
ejpam-6381	257	18	19	19	NUM
ejpam-6381	257	19	x12(t	x12(t	NUM
ejpam-6381	257	20	)	)	PUNCT
ejpam-6381	257	21	=	=	SYM
ejpam-6381	258	1	1	1	NUM
ejpam-6381	258	2	+	+	NUM
ejpam-6381	258	3	tν	tν	NOUN
ejpam-6381	258	4	γ(ν	γ(ν	PROPN
ejpam-6381	259	1	+	+	CCONJ
ejpam-6381	259	2	1	1	NUM
ejpam-6381	259	3	)	)	PUNCT
ejpam-6381	260	1	+	+	CCONJ
ejpam-6381	260	2	a12	a12	PROPN
ejpam-6381	260	3	t	t	NOUN
ejpam-6381	260	4	2ν	2ν	NOUN
ejpam-6381	260	5	γ(2ν	γ(2ν	PROPN
ejpam-6381	261	1	+	+	CCONJ
ejpam-6381	261	2	1	1	NUM
ejpam-6381	261	3	)	)	PUNCT
ejpam-6381	261	4	,	,	PUNCT
ejpam-6381	261	5	x22(t	x22(t	PROPN
ejpam-6381	261	6	)	)	PUNCT
ejpam-6381	262	1	=	=	SYM
ejpam-6381	262	2	1	1	NUM
ejpam-6381	263	1	+	+	NUM
ejpam-6381	263	2	2tν	2tν	ADJ
ejpam-6381	263	3	γ(ν	γ(ν	PROPN
ejpam-6381	264	1	+	+	CCONJ
ejpam-6381	264	2	1	1	NUM
ejpam-6381	264	3	)	)	PUNCT
ejpam-6381	264	4	+	+	CCONJ
ejpam-6381	264	5	a22	a22	PROPN
ejpam-6381	264	6	t	t	PROPN
ejpam-6381	264	7	2ν	2ν	NOUN
ejpam-6381	264	8	γ(2ν	γ(2ν	PROPN
ejpam-6381	265	1	+	+	CCONJ
ejpam-6381	265	2	1	1	NUM
ejpam-6381	265	3	)	)	PUNCT
ejpam-6381	265	4	,	,	PUNCT
ejpam-6381	265	5	x32(t	x32(t	PROPN
ejpam-6381	265	6	)	)	PUNCT
ejpam-6381	265	7	=	=	PUNCT
ejpam-6381	266	1	1	1	NUM
ejpam-6381	267	1	+	+	NUM
ejpam-6381	267	2	7tν	7tν	ADJ
ejpam-6381	267	3	γ(ν	γ(ν	PROPN
ejpam-6381	267	4	+	+	CCONJ
ejpam-6381	267	5	1	1	NUM
ejpam-6381	267	6	)	)	PUNCT
ejpam-6381	267	7	+	+	CCONJ
ejpam-6381	267	8	a32	a32	PROPN
ejpam-6381	267	9	t	t	PROPN
ejpam-6381	267	10	2ν	2ν	NOUN
ejpam-6381	267	11	γ(2ν	γ(2ν	PROPN
ejpam-6381	268	1	+	+	CCONJ
ejpam-6381	268	2	1	1	NUM
ejpam-6381	268	3	)	)	PUNCT
ejpam-6381	268	4	,	,	PUNCT
ejpam-6381	268	5	x42(t	x42(t	PROPN
ejpam-6381	268	6	)	)	PUNCT
ejpam-6381	268	7	=	=	SYM
ejpam-6381	269	1	1	1	NUM
ejpam-6381	269	2	+	+	NUM
ejpam-6381	269	3	11tν	11tν	ADJ
ejpam-6381	269	4	γ(ν	γ(ν	PROPN
ejpam-6381	270	1	+	+	CCONJ
ejpam-6381	270	2	1	1	NUM
ejpam-6381	270	3	)	)	PUNCT
ejpam-6381	271	1	+	+	NOUN
ejpam-6381	271	2	a42	a42	PROPN
ejpam-6381	271	3	t	t	PROPN
ejpam-6381	271	4	2ν	2ν	NOUN
ejpam-6381	271	5	γ(2ν	γ(2ν	PROPN
ejpam-6381	272	1	+	+	CCONJ
ejpam-6381	272	2	1	1	NUM
ejpam-6381	272	3	)	)	PUNCT
ejpam-6381	272	4	,	,	PUNCT
ejpam-6381	272	5	(	(	PUNCT
ejpam-6381	272	6	25	25	NUM
ejpam-6381	272	7	)	)	PUNCT
ejpam-6381	272	8	and	and	CCONJ
ejpam-6381	272	9	the	the	DET
ejpam-6381	272	10	second	second	ADJ
ejpam-6381	272	11	residual	residual	ADJ
ejpam-6381	272	12	functions	function	NOUN
ejpam-6381	272	13	are	be	AUX
ejpam-6381	272	14	:	:	PUNCT
ejpam-6381	272	15			PRON
ejpam-6381	272	16	res	re	VERB
ejpam-6381	272	17	x12(t	x12(t	PRON
ejpam-6381	272	18	)	)	PUNCT
ejpam-6381	273	1	=	=	PUNCT
ejpam-6381	274	1	c	c	NOUN
ejpam-6381	274	2	dν	dν	VERB
ejpam-6381	274	3	0,tx12	0,tx12	ADV
ejpam-6381	274	4	−	−	ADP
ejpam-6381	274	5	a(x22	a(x22	NOUN
ejpam-6381	274	6	−	−	PROPN
ejpam-6381	274	7	x12)−	x12)−	ADJ
ejpam-6381	274	8	x42	x42	NOUN
ejpam-6381	274	9	,	,	PUNCT
ejpam-6381	274	10	=	=	SYM
ejpam-6381	274	11	(	(	PUNCT
ejpam-6381	274	12	a22−46	a22−46	PROPN
ejpam-6381	274	13	)	)	PUNCT
ejpam-6381	274	14	tν	tν	NOUN
ejpam-6381	274	15	γ(ν	γ(ν	PROPN
ejpam-6381	275	1	+	+	CCONJ
ejpam-6381	275	2	1	1	X
ejpam-6381	275	3	)	)	PUNCT
ejpam-6381	275	4	−	−	PROPN
ejpam-6381	276	1	(	(	PUNCT
ejpam-6381	276	2	a42	a42	NOUN
ejpam-6381	276	3	+	+	CCONJ
ejpam-6381	276	4	a(a22	a(a22	NOUN
ejpam-6381	276	5	−	−	PROPN
ejpam-6381	276	6	a12	a12	NOUN
ejpam-6381	276	7	)	)	PUNCT
ejpam-6381	276	8	)	)	PUNCT
ejpam-6381	276	9	)	)	PUNCT
ejpam-6381	277	1	t2ν	t2ν	PROPN
ejpam-6381	277	2	γ(2ν	γ(2ν	PROPN
ejpam-6381	278	1	+	+	CCONJ
ejpam-6381	278	2	1	1	NUM
ejpam-6381	278	3	)	)	PUNCT
ejpam-6381	278	4	,	,	PUNCT
ejpam-6381	278	5	(	(	PUNCT
ejpam-6381	278	6	26	26	NUM
ejpam-6381	278	7	)	)	PUNCT
ejpam-6381	278	8	and	and	NOUN
ejpam-6381	278	9	res	re	VERB
ejpam-6381	278	10	x22(t	x22(t	PROPN
ejpam-6381	278	11	)	)	PUNCT
ejpam-6381	279	1	=	=	PUNCT
ejpam-6381	280	1	c	c	NOUN
ejpam-6381	280	2	dν	dν	VERB
ejpam-6381	280	3	0,tx22	0,tx22	PRON
ejpam-6381	280	4	−	−	PROPN
ejpam-6381	281	1	cx22	cx22	PROPN
ejpam-6381	281	2	+	+	NUM
ejpam-6381	281	3	dx12x32	dx12x32	PROPN
ejpam-6381	281	4	=	=	SYM
ejpam-6381	281	5	(	(	PUNCT
ejpam-6381	281	6	a22	a22	PROPN
ejpam-6381	281	7	+	+	CCONJ
ejpam-6381	281	8	56	56	NUM
ejpam-6381	281	9	)	)	PUNCT
ejpam-6381	281	10	tν	tν	NOUN
ejpam-6381	281	11	γ(ν	γ(ν	PROPN
ejpam-6381	282	1	+	+	CCONJ
ejpam-6381	283	1	1	1	NUM
ejpam-6381	283	2	)	)	PUNCT
ejpam-6381	283	3	+	+	CCONJ
ejpam-6381	283	4	(	(	PUNCT
ejpam-6381	283	5	d(a32	d(a32	X
ejpam-6381	283	6	+	+	CCONJ
ejpam-6381	283	7	a12	a12	NOUN
ejpam-6381	283	8	−	−	PROPN
ejpam-6381	283	9	12a22	12a22	NUM
ejpam-6381	283	10	)	)	PUNCT
ejpam-6381	283	11	)	)	PUNCT
ejpam-6381	284	1	t2ν	t2ν	PROPN
ejpam-6381	284	2	γ(2ν	γ(2ν	PROPN
ejpam-6381	285	1	+	+	CCONJ
ejpam-6381	285	2	1	1	X
ejpam-6381	285	3	)	)	PUNCT
ejpam-6381	285	4	+	+	CCONJ
ejpam-6381	285	5	70	70	NUM
ejpam-6381	285	6	t2ν	t2ν	NOUN
ejpam-6381	285	7	(	(	PUNCT
ejpam-6381	285	8	γ(ν	γ(ν	PROPN
ejpam-6381	285	9	+	+	CCONJ
ejpam-6381	285	10	1))2	1))2	NUM
ejpam-6381	285	11	+	+	CCONJ
ejpam-6381	285	12	(	(	PUNCT
ejpam-6381	285	13	da32	da32	PROPN
ejpam-6381	285	14	+	+	CCONJ
ejpam-6381	285	15	70a12	70a12	NUM
ejpam-6381	285	16	)	)	PUNCT
ejpam-6381	285	17	t3ν	t3ν	NOUN
ejpam-6381	285	18	γ(ν	γ(ν	PROPN
ejpam-6381	286	1	+	+	NUM
ejpam-6381	286	2	1)γ(2ν	1)γ(2ν	NUM
ejpam-6381	286	3	+	+	ADJ
ejpam-6381	286	4	1	1	NUM
ejpam-6381	286	5	)	)	PUNCT
ejpam-6381	286	6	+	+	CCONJ
ejpam-6381	287	1	da12a32	da12a32	PROPN
ejpam-6381	287	2	t	t	NOUN
ejpam-6381	287	3	4ν	4ν	NUM
ejpam-6381	287	4	(	(	PUNCT
ejpam-6381	287	5	γ(2ν	γ(2ν	PROPN
ejpam-6381	287	6	+	+	CCONJ
ejpam-6381	287	7	1))2	1))2	NUM
ejpam-6381	287	8	,	,	PUNCT
ejpam-6381	287	9	(	(	PUNCT
ejpam-6381	287	10	27	27	NUM
ejpam-6381	287	11	)	)	PUNCT
ejpam-6381	287	12	also	also	NOUN
ejpam-6381	287	13	res	re	NOUN
ejpam-6381	287	14	x32(t	x32(t	NOUN
ejpam-6381	287	15	)	)	PUNCT
ejpam-6381	288	1	=	=	PUNCT
ejpam-6381	289	1	c	c	NOUN
ejpam-6381	289	2	dν	dν	PROPN
ejpam-6381	289	3	0,tx32	0,tx32	PROPN
ejpam-6381	290	1	+	+	CCONJ
ejpam-6381	290	2	bx32	bx32	PROPN
ejpam-6381	290	3	−	−	PROPN
ejpam-6381	290	4	10x12x22	10x12x22	NUM
ejpam-6381	290	5	,	,	PUNCT
ejpam-6381	290	6	=	=	SYM
ejpam-6381	290	7	(	(	PUNCT
ejpam-6381	290	8	a32	a32	PROPN
ejpam-6381	290	9	−	−	PROPN
ejpam-6381	290	10	9	9	NUM
ejpam-6381	290	11	)	)	PUNCT
ejpam-6381	290	12	tν	tν	NOUN
ejpam-6381	290	13	γ(ν	γ(ν	PROPN
ejpam-6381	291	1	+	+	CCONJ
ejpam-6381	291	2	1	1	NUM
ejpam-6381	291	3	)	)	PUNCT
ejpam-6381	291	4	+	+	CCONJ
ejpam-6381	291	5	(	(	PUNCT
ejpam-6381	291	6	ba32	ba32	PROPN
ejpam-6381	291	7	−	−	PROPN
ejpam-6381	291	8	d(a22	d(a22	NOUN
ejpam-6381	291	9	+	+	CCONJ
ejpam-6381	291	10	a12	a12	NUM
ejpam-6381	291	11	)	)	PUNCT
ejpam-6381	291	12	)	)	PUNCT
ejpam-6381	292	1	t2ν	t2ν	PROPN
ejpam-6381	292	2	γ(2ν	γ(2ν	PROPN
ejpam-6381	293	1	+	+	CCONJ
ejpam-6381	293	2	1	1	X
ejpam-6381	293	3	)	)	PUNCT
ejpam-6381	293	4	−	−	PROPN
ejpam-6381	293	5	20	20	NUM
ejpam-6381	293	6	t2ν	t2ν	NOUN
ejpam-6381	293	7	(	(	PUNCT
ejpam-6381	293	8	γ(ν	γ(ν	PROPN
ejpam-6381	293	9	+	+	CCONJ
ejpam-6381	294	1	1))2	1))2	NUM
ejpam-6381	294	2	−	−	NOUN
ejpam-6381	294	3	(	(	PUNCT
ejpam-6381	294	4	da22	da22	PROPN
ejpam-6381	294	5	+	+	CCONJ
ejpam-6381	294	6	20a12	20a12	NUM
ejpam-6381	294	7	)	)	PUNCT
ejpam-6381	294	8	t3ν	t3ν	NOUN
ejpam-6381	294	9	γ(ν	γ(ν	PROPN
ejpam-6381	295	1	+	+	NUM
ejpam-6381	295	2	1)γ(2ν	1)γ(2ν	NUM
ejpam-6381	295	3	+	+	ADJ
ejpam-6381	295	4	1	1	X
ejpam-6381	295	5	)	)	PUNCT
ejpam-6381	295	6	−	−	PROPN
ejpam-6381	295	7	da12a22	da12a22	PROPN
ejpam-6381	295	8	t4ν	t4ν	PROPN
ejpam-6381	295	9	(	(	PUNCT
ejpam-6381	295	10	γ(2ν	γ(2ν	NOUN
ejpam-6381	295	11	+	+	CCONJ
ejpam-6381	295	12	1))2	1))2	NUM
ejpam-6381	295	13	,	,	PUNCT
ejpam-6381	295	14	(	(	PUNCT
ejpam-6381	295	15	28	28	NUM
ejpam-6381	295	16	)	)	PUNCT
ejpam-6381	295	17	and	and	NOUN
ejpam-6381	295	18	res	re	NOUN
ejpam-6381	295	19	x42(t	x42(t	NOUN
ejpam-6381	295	20	)	)	PUNCT
ejpam-6381	296	1	=	=	PUNCT
ejpam-6381	297	1	c	c	NOUN
ejpam-6381	297	2	dν	dν	ADJ
ejpam-6381	297	3	0,tx42	0,tx42	NOUN
ejpam-6381	297	4	−	−	ADP
ejpam-6381	297	5	dx22	dx22	PROPN
ejpam-6381	297	6	−	−	PROPN
ejpam-6381	297	7	x212	x212	PROPN
ejpam-6381	297	8	,	,	PUNCT
ejpam-6381	297	9	=	=	SYM
ejpam-6381	297	10	(	(	PUNCT
ejpam-6381	297	11	a42	a42	NOUN
ejpam-6381	297	12	−	−	NOUN
ejpam-6381	297	13	22	22	NUM
ejpam-6381	297	14	)	)	PUNCT
ejpam-6381	297	15	tν	tν	NOUN
ejpam-6381	297	16	γ(ν	γ(ν	PROPN
ejpam-6381	298	1	+	+	CCONJ
ejpam-6381	298	2	1	1	X
ejpam-6381	298	3	)	)	PUNCT
ejpam-6381	298	4	−	−	PROPN
ejpam-6381	298	5	(	(	PUNCT
ejpam-6381	298	6	d+	d+	X
ejpam-6381	298	7	2a12	2a12	NUM
ejpam-6381	298	8	t2ν	t2ν	NOUN
ejpam-6381	298	9	γ(2ν	γ(2ν	NOUN
ejpam-6381	299	1	+	+	CCONJ
ejpam-6381	299	2	1	1	X
ejpam-6381	299	3	)	)	PUNCT
ejpam-6381	299	4	−	−	PROPN
ejpam-6381	299	5	t2ν	t2ν	NOUN
ejpam-6381	299	6	(	(	PUNCT
ejpam-6381	299	7	γ(ν	γ(ν	PROPN
ejpam-6381	300	1	+	+	CCONJ
ejpam-6381	301	1	1))2	1))2	NUM
ejpam-6381	301	2	−	−	NUM
ejpam-6381	301	3	2a12	2a12	NUM
ejpam-6381	301	4	t3ν	t3ν	NOUN
ejpam-6381	301	5	γ(ν	γ(ν	PROPN
ejpam-6381	302	1	+	+	NUM
ejpam-6381	302	2	1)γ(2ν	1)γ(2ν	NUM
ejpam-6381	302	3	+	+	ADJ
ejpam-6381	302	4	1	1	NUM
ejpam-6381	302	5	)	)	PUNCT
ejpam-6381	302	6	−	−	PROPN
ejpam-6381	303	1	a212	a212	NUM
ejpam-6381	303	2	t	t	PROPN
ejpam-6381	303	3	4ν	4ν	NUM
ejpam-6381	303	4	(	(	PUNCT
ejpam-6381	303	5	γ(2ν	γ(2ν	PROPN
ejpam-6381	303	6	+	+	NOUN
ejpam-6381	303	7	1))2	1))2	NUM
ejpam-6381	303	8	.	.	PUNCT
ejpam-6381	304	1	(	(	PUNCT
ejpam-6381	304	2	29	29	NUM
ejpam-6381	304	3	)	)	PUNCT
ejpam-6381	304	4	using	use	VERB
ejpam-6381	304	5	(	(	PUNCT
ejpam-6381	304	6	18	18	NUM
ejpam-6381	304	7	)	)	PUNCT
ejpam-6381	304	8	,	,	PUNCT
ejpam-6381	304	9	we	we	PRON
ejpam-6381	304	10	get	get	VERB
ejpam-6381	304	11	a12	a12	NOUN
ejpam-6381	304	12	,	,	PUNCT
ejpam-6381	304	13	a22	a22	PROPN
ejpam-6381	304	14	,	,	PUNCT
ejpam-6381	304	15	a32	a32	PROPN
ejpam-6381	304	16	,	,	PUNCT
ejpam-6381	304	17	a42	a42	PROPN
ejpam-6381	304	18	,	,	PUNCT
ejpam-6381	304	19	therefore	therefore	ADV
ejpam-6381	304	20	,	,	PUNCT
ejpam-6381	304	21	the	the	DET
ejpam-6381	304	22	second	second	ADJ
ejpam-6381	304	23	rps	rps	NOUN
ejpam-6381	304	24	solution	solution	NOUN
ejpam-6381	304	25	of	of	ADP
ejpam-6381	304	26	eqs	eqs	PROPN
ejpam-6381	304	27	.	.	PUNCT
ejpam-6381	305	1	(	(	PUNCT
ejpam-6381	305	2	1112	1112	NUM
ejpam-6381	305	3	)	)	PUNCT
ejpam-6381	305	4	are	be	AUX
ejpam-6381	305	5	given	give	VERB
ejpam-6381	305	6	by	by	ADP
ejpam-6381	305	7	the	the	DET
ejpam-6381	305	8	following	follow	VERB
ejpam-6381	305	9	form	form	NOUN
ejpam-6381	305	10	:	:	PUNCT
ejpam-6381	305	11	i.kadri	i.kadri	X
ejpam-6381	305	12	et	et	PROPN
ejpam-6381	305	13	al	al	PROPN
ejpam-6381	305	14	.	.	PUNCT
ejpam-6381	305	15	/	/	SYM
ejpam-6381	305	16	eur	eur	PROPN
ejpam-6381	305	17	.	.	PUNCT
ejpam-6381	306	1	j.	j.	PROPN
ejpam-6381	306	2	pure	pure	PROPN
ejpam-6381	306	3	appl	appl	PROPN
ejpam-6381	306	4	.	.	PROPN
ejpam-6381	306	5	math	math	PROPN
ejpam-6381	306	6	,	,	PUNCT
ejpam-6381	306	7	18	18	NUM
ejpam-6381	306	8	(	(	PUNCT
ejpam-6381	306	9	3	3	NUM
ejpam-6381	306	10	)	)	PUNCT
ejpam-6381	306	11	(	(	PUNCT
ejpam-6381	306	12	2025	2025	NUM
ejpam-6381	306	13	)	)	PUNCT
ejpam-6381	306	14	,	,	PUNCT
ejpam-6381	306	15	6381	6381	NUM
ejpam-6381	306	16	13	13	NUM
ejpam-6381	306	17	of	of	ADP
ejpam-6381	306	18	19	19	NUM
ejpam-6381	306	19			NOUN
ejpam-6381	306	20	x12(t	x12(t	PROPN
ejpam-6381	306	21	)	)	PUNCT
ejpam-6381	306	22	=	=	SYM
ejpam-6381	307	1	1	1	NUM
ejpam-6381	307	2	+	+	NUM
ejpam-6381	307	3	tν	tν	NOUN
ejpam-6381	307	4	γ(ν	γ(ν	PROPN
ejpam-6381	308	1	+	+	CCONJ
ejpam-6381	309	1	1	1	X
ejpam-6381	309	2	)	)	PUNCT
ejpam-6381	309	3	+	+	NUM
ejpam-6381	309	4	46	46	NUM
ejpam-6381	309	5	t2ν	t2ν	NOUN
ejpam-6381	309	6	γ(2ν	γ(2ν	PROPN
ejpam-6381	310	1	+	+	CCONJ
ejpam-6381	310	2	1	1	NUM
ejpam-6381	310	3	)	)	PUNCT
ejpam-6381	310	4	,	,	PUNCT
ejpam-6381	310	5	x22(t	x22(t	PROPN
ejpam-6381	310	6	)	)	PUNCT
ejpam-6381	310	7	=	=	SYM
ejpam-6381	311	1	1	1	NUM
ejpam-6381	311	2	+	+	NUM
ejpam-6381	311	3	2tν	2tν	ADJ
ejpam-6381	311	4	γ(ν	γ(ν	PROPN
ejpam-6381	312	1	+	+	CCONJ
ejpam-6381	312	2	1	1	X
ejpam-6381	312	3	)	)	PUNCT
ejpam-6381	312	4	−	−	PROPN
ejpam-6381	312	5	56	56	NUM
ejpam-6381	312	6	t2ν	t2ν	NOUN
ejpam-6381	312	7	γ(2ν	γ(2ν	PROPN
ejpam-6381	313	1	+	+	NOUN
ejpam-6381	313	2	1	1	NUM
ejpam-6381	313	3	)	)	PUNCT
ejpam-6381	313	4	,	,	PUNCT
ejpam-6381	313	5	x32(t	x32(t	PROPN
ejpam-6381	313	6	)	)	PUNCT
ejpam-6381	313	7	=	=	PUNCT
ejpam-6381	314	1	1	1	NUM
ejpam-6381	315	1	+	+	NUM
ejpam-6381	315	2	7tν	7tν	ADJ
ejpam-6381	315	3	γ(ν	γ(ν	PROPN
ejpam-6381	315	4	+	+	CCONJ
ejpam-6381	315	5	1	1	NUM
ejpam-6381	315	6	)	)	PUNCT
ejpam-6381	315	7	+	+	CCONJ
ejpam-6381	315	8	9	9	NUM
ejpam-6381	315	9	t2ν	t2ν	NOUN
ejpam-6381	315	10	γ(2ν	γ(2ν	NOUN
ejpam-6381	316	1	+	+	CCONJ
ejpam-6381	316	2	1	1	NUM
ejpam-6381	316	3	)	)	PUNCT
ejpam-6381	316	4	,	,	PUNCT
ejpam-6381	316	5	x42(t	x42(t	PROPN
ejpam-6381	316	6	)	)	PUNCT
ejpam-6381	316	7	=	=	SYM
ejpam-6381	317	1	1	1	NUM
ejpam-6381	317	2	+	+	NUM
ejpam-6381	317	3	11tν	11tν	ADJ
ejpam-6381	317	4	γ(ν	γ(ν	PROPN
ejpam-6381	318	1	+	+	CCONJ
ejpam-6381	318	2	1	1	NUM
ejpam-6381	318	3	)	)	PUNCT
ejpam-6381	319	1	+	+	CCONJ
ejpam-6381	319	2	22	22	NUM
ejpam-6381	319	3	t2ν	t2ν	NOUN
ejpam-6381	319	4	γ(2ν	γ(2ν	NOUN
ejpam-6381	320	1	+	+	NOUN
ejpam-6381	320	2	1	1	NUM
ejpam-6381	320	3	)	)	PUNCT
ejpam-6381	320	4	.	.	PUNCT
ejpam-6381	321	1	(	(	PUNCT
ejpam-6381	321	2	30	30	NUM
ejpam-6381	321	3	)	)	PUNCT
ejpam-6381	321	4	•	•	NOUN
ejpam-6381	321	5	in	in	ADP
ejpam-6381	321	6	the	the	DET
ejpam-6381	321	7	same	same	ADJ
ejpam-6381	321	8	manner	manner	NOUN
ejpam-6381	321	9	,	,	PUNCT
ejpam-6381	321	10	implementing	implement	VERB
ejpam-6381	321	11	the	the	DET
ejpam-6381	321	12	identical	identical	ADJ
ejpam-6381	321	13	procedures	procedure	NOUN
ejpam-6381	321	14	for	for	ADP
ejpam-6381	321	15	n	n	NOUN
ejpam-6381	321	16	=	=	SYM
ejpam-6381	321	17	3	3	NUM
ejpam-6381	321	18	,	,	PUNCT
ejpam-6381	321	19	leads	lead	VERB
ejpam-6381	321	20	to	to	ADP
ejpam-6381	321	21	:	:	PUNCT
ejpam-6381	321	22			PROPN
ejpam-6381	321	23	x13(t	x13(t	PROPN
ejpam-6381	321	24	)	)	PUNCT
ejpam-6381	322	1	=	=	SYM
ejpam-6381	322	2	1	1	NUM
ejpam-6381	323	1	+	+	NUM
ejpam-6381	323	2	tν	tν	NOUN
ejpam-6381	323	3	γ(ν	γ(ν	PROPN
ejpam-6381	324	1	+	+	CCONJ
ejpam-6381	325	1	1	1	X
ejpam-6381	325	2	)	)	PUNCT
ejpam-6381	325	3	+	+	NUM
ejpam-6381	325	4	46	46	NUM
ejpam-6381	325	5	t2ν	t2ν	NOUN
ejpam-6381	325	6	γ(2ν	γ(2ν	PROPN
ejpam-6381	326	1	+	+	CCONJ
ejpam-6381	326	2	1	1	X
ejpam-6381	326	3	)	)	PUNCT
ejpam-6381	326	4	+	+	CCONJ
ejpam-6381	326	5	a13	a13	PROPN
ejpam-6381	326	6	t3ν	t3ν	NOUN
ejpam-6381	326	7	γ(3ν	γ(3ν	NOUN
ejpam-6381	326	8	+	+	NUM
ejpam-6381	326	9	1	1	NUM
ejpam-6381	326	10	)	)	PUNCT
ejpam-6381	326	11	,	,	PUNCT
ejpam-6381	326	12	x23(t	x23(t	PROPN
ejpam-6381	326	13	)	)	PUNCT
ejpam-6381	326	14	=	=	SYM
ejpam-6381	327	1	1	1	NUM
ejpam-6381	327	2	+	+	NUM
ejpam-6381	328	1	2tν	2tν	ADJ
ejpam-6381	328	2	γ(ν	γ(ν	PROPN
ejpam-6381	329	1	+	+	CCONJ
ejpam-6381	329	2	1	1	X
ejpam-6381	329	3	)	)	PUNCT
ejpam-6381	329	4	−	−	PROPN
ejpam-6381	329	5	56	56	NUM
ejpam-6381	329	6	t2ν	t2ν	NOUN
ejpam-6381	329	7	γ(2ν	γ(2ν	PROPN
ejpam-6381	330	1	+	+	CCONJ
ejpam-6381	330	2	1	1	X
ejpam-6381	330	3	)	)	PUNCT
ejpam-6381	330	4	+	+	CCONJ
ejpam-6381	330	5	a23	a23	PROPN
ejpam-6381	330	6	t3ν	t3ν	NOUN
ejpam-6381	330	7	γ(3ν	γ(3ν	NOUN
ejpam-6381	330	8	+	+	NOUN
ejpam-6381	330	9	1	1	NUM
ejpam-6381	330	10	)	)	PUNCT
ejpam-6381	330	11	,	,	PUNCT
ejpam-6381	330	12	x33(t	x33(t	X
ejpam-6381	330	13	)	)	PUNCT
ejpam-6381	330	14	=	=	SYM
ejpam-6381	331	1	1	1	NUM
ejpam-6381	332	1	+	+	NUM
ejpam-6381	332	2	7tν	7tν	ADJ
ejpam-6381	332	3	γ(ν	γ(ν	PROPN
ejpam-6381	332	4	+	+	CCONJ
ejpam-6381	332	5	1	1	NUM
ejpam-6381	332	6	)	)	PUNCT
ejpam-6381	332	7	+	+	CCONJ
ejpam-6381	332	8	9	9	NUM
ejpam-6381	332	9	t2ν	t2ν	NOUN
ejpam-6381	332	10	γ(2ν	γ(2ν	NOUN
ejpam-6381	333	1	+	+	CCONJ
ejpam-6381	333	2	1	1	X
ejpam-6381	333	3	)	)	PUNCT
ejpam-6381	333	4	+	+	CCONJ
ejpam-6381	333	5	a33	a33	NUM
ejpam-6381	333	6	t3ν	t3ν	NOUN
ejpam-6381	333	7	γ(3ν	γ(3ν	NOUN
ejpam-6381	333	8	+	+	NOUN
ejpam-6381	333	9	1	1	NUM
ejpam-6381	333	10	)	)	PUNCT
ejpam-6381	333	11	,	,	PUNCT
ejpam-6381	333	12	x43(t	x43(t	X
ejpam-6381	333	13	)	)	PUNCT
ejpam-6381	333	14	=	=	SYM
ejpam-6381	334	1	1	1	NUM
ejpam-6381	334	2	+	+	NUM
ejpam-6381	334	3	11tν	11tν	ADJ
ejpam-6381	334	4	γ(ν	γ(ν	PROPN
ejpam-6381	335	1	+	+	CCONJ
ejpam-6381	335	2	1	1	NUM
ejpam-6381	335	3	)	)	PUNCT
ejpam-6381	336	1	+	+	CCONJ
ejpam-6381	336	2	22	22	NUM
ejpam-6381	336	3	t2ν	t2ν	NOUN
ejpam-6381	336	4	γ(2ν	γ(2ν	NOUN
ejpam-6381	337	1	+	+	CCONJ
ejpam-6381	337	2	1	1	X
ejpam-6381	337	3	)	)	PUNCT
ejpam-6381	337	4	+	+	CCONJ
ejpam-6381	337	5	a43	a43	PROPN
ejpam-6381	337	6	t3ν	t3ν	NOUN
ejpam-6381	337	7	γ(3ν	γ(3ν	NOUN
ejpam-6381	337	8	+	+	NOUN
ejpam-6381	337	9	1	1	NUM
ejpam-6381	337	10	)	)	PUNCT
ejpam-6381	337	11	.	.	PUNCT
ejpam-6381	338	1	(	(	PUNCT
ejpam-6381	338	2	31	31	NUM
ejpam-6381	338	3	)	)	PUNCT
ejpam-6381	338	4	by	by	ADP
ejpam-6381	338	5	the	the	DET
ejpam-6381	338	6	same	same	ADJ
ejpam-6381	338	7	process	process	NOUN
ejpam-6381	338	8	,	,	PUNCT
ejpam-6381	338	9	we	we	PRON
ejpam-6381	338	10	get	get	VERB
ejpam-6381	338	11	:	:	PUNCT
ejpam-6381	338	12	a13	a13	PROPN
ejpam-6381	338	13	=	=	SYM
ejpam-6381	338	14	3548	3548	NUM
ejpam-6381	338	15	,	,	PUNCT
ejpam-6381	338	16	a23	a23	PROPN
ejpam-6381	338	17	=	=	SYM
ejpam-6381	338	18	−1222−	−1222−	PROPN
ejpam-6381	338	19	70γ(2ν+1	70γ(2ν+1	PROPN
ejpam-6381	338	20	)	)	PUNCT
ejpam-6381	338	21	(	(	PUNCT
ejpam-6381	338	22	γ(ν+1))2	γ(ν+1))2	NOUN
ejpam-6381	338	23	,	,	PUNCT
ejpam-6381	338	24	a33	a33	NOUN
ejpam-6381	338	25	=	=	SYM
ejpam-6381	338	26	−127	−127	NOUN
ejpam-6381	338	27	+	+	NOUN
ejpam-6381	338	28	20γ(2ν+1	20γ(2ν+1	NUM
ejpam-6381	338	29	)	)	PUNCT
ejpam-6381	338	30	(	(	PUNCT
ejpam-6381	338	31	γ(ν+1))2	γ(ν+1))2	NOUN
ejpam-6381	338	32	,	,	PUNCT
ejpam-6381	338	33	a43	a43	PROPN
ejpam-6381	338	34	=	=	PUNCT
ejpam-6381	338	35	−514	−514	NOUN
ejpam-6381	338	36	+	+	CCONJ
ejpam-6381	338	37	γ(2ν+1	γ(2ν+1	NOUN
ejpam-6381	338	38	)	)	PUNCT
ejpam-6381	338	39	(	(	PUNCT
ejpam-6381	338	40	γ(ν+1))2	γ(ν+1))2	PROPN
ejpam-6381	338	41	.	.	PUNCT
ejpam-6381	339	1	hence,	hence,	X
ejpam-6381	339	2	x13(t	x13(t	PROPN
ejpam-6381	339	3	)	)	PUNCT
ejpam-6381	340	1	=	=	SYM
ejpam-6381	340	2	1	1	NUM
ejpam-6381	341	1	+	+	NUM
ejpam-6381	341	2	tν	tν	NOUN
ejpam-6381	341	3	γ(ν	γ(ν	PROPN
ejpam-6381	342	1	+	+	CCONJ
ejpam-6381	343	1	1	1	X
ejpam-6381	343	2	)	)	PUNCT
ejpam-6381	343	3	+	+	NUM
ejpam-6381	343	4	46	46	NUM
ejpam-6381	343	5	t2ν	t2ν	NOUN
ejpam-6381	343	6	γ(2ν	γ(2ν	PROPN
ejpam-6381	344	1	+	+	CCONJ
ejpam-6381	344	2	1	1	X
ejpam-6381	344	3	)	)	PUNCT
ejpam-6381	344	4	+	+	CCONJ
ejpam-6381	344	5	3548	3548	NUM
ejpam-6381	344	6	t3ν	t3ν	NOUN
ejpam-6381	344	7	γ(3ν	γ(3ν	NOUN
ejpam-6381	344	8	+	+	NOUN
ejpam-6381	344	9	1	1	NUM
ejpam-6381	344	10	)	)	PUNCT
ejpam-6381	344	11	,	,	PUNCT
ejpam-6381	344	12	x23(t	x23(t	PROPN
ejpam-6381	344	13	)	)	PUNCT
ejpam-6381	345	1	=	=	SYM
ejpam-6381	345	2	1	1	NUM
ejpam-6381	346	1	+	+	NUM
ejpam-6381	346	2	2tν	2tν	ADJ
ejpam-6381	346	3	γ(ν	γ(ν	PROPN
ejpam-6381	347	1	+	+	CCONJ
ejpam-6381	347	2	1	1	X
ejpam-6381	347	3	)	)	PUNCT
ejpam-6381	347	4	−	−	PROPN
ejpam-6381	347	5	56	56	NUM
ejpam-6381	347	6	t2ν	t2ν	NOUN
ejpam-6381	347	7	γ(2ν	γ(2ν	PROPN
ejpam-6381	348	1	+	+	NOUN
ejpam-6381	348	2	1	1	X
ejpam-6381	348	3	)	)	PUNCT
ejpam-6381	348	4	−	−	PROPN
ejpam-6381	348	5	(	(	PUNCT
ejpam-6381	348	6	1222	1222	NUM
ejpam-6381	349	1	+	+	CCONJ
ejpam-6381	349	2	70γ(2ν	70γ(2ν	NUM
ejpam-6381	349	3	+	+	CCONJ
ejpam-6381	349	4	1	1	NUM
ejpam-6381	349	5	)	)	PUNCT
ejpam-6381	349	6	(	(	PUNCT
ejpam-6381	349	7	γ(ν	γ(ν	PROPN
ejpam-6381	350	1	+	+	CCONJ
ejpam-6381	350	2	1))2	1))2	NUM
ejpam-6381	350	3	)	)	PUNCT
ejpam-6381	350	4	t3ν	t3ν	NOUN
ejpam-6381	350	5	γ(3ν	γ(3ν	NUM
ejpam-6381	351	1	+	+	NOUN
ejpam-6381	351	2	1	1	NUM
ejpam-6381	351	3	)	)	PUNCT
ejpam-6381	351	4	,	,	PUNCT
ejpam-6381	351	5	x33(t	x33(t	X
ejpam-6381	351	6	)	)	PUNCT
ejpam-6381	351	7	=	=	SYM
ejpam-6381	351	8	1	1	NUM
ejpam-6381	352	1	+	+	NUM
ejpam-6381	352	2	7tν	7tν	ADJ
ejpam-6381	352	3	γ(ν	γ(ν	PROPN
ejpam-6381	352	4	+	+	CCONJ
ejpam-6381	352	5	1	1	NUM
ejpam-6381	352	6	)	)	PUNCT
ejpam-6381	352	7	+	+	CCONJ
ejpam-6381	352	8	9	9	NUM
ejpam-6381	352	9	t2ν	t2ν	NOUN
ejpam-6381	352	10	γ(2ν	γ(2ν	NOUN
ejpam-6381	353	1	+	+	CCONJ
ejpam-6381	353	2	1	1	X
ejpam-6381	353	3	)	)	PUNCT
ejpam-6381	353	4	+	+	CCONJ
ejpam-6381	353	5	(	(	PUNCT
ejpam-6381	353	6	−127	−127	NOUN
ejpam-6381	353	7	+	+	X
ejpam-6381	353	8	20γ(2ν	20γ(2ν	NOUN
ejpam-6381	353	9	+	+	CCONJ
ejpam-6381	353	10	1	1	NUM
ejpam-6381	353	11	)	)	PUNCT
ejpam-6381	353	12	(	(	PUNCT
ejpam-6381	353	13	γ(ν	γ(ν	PROPN
ejpam-6381	354	1	+	+	CCONJ
ejpam-6381	354	2	1))2	1))2	NUM
ejpam-6381	354	3	)	)	PUNCT
ejpam-6381	354	4	t3ν	t3ν	NOUN
ejpam-6381	354	5	γ(3ν	γ(3ν	NUM
ejpam-6381	355	1	+	+	NOUN
ejpam-6381	355	2	1	1	NUM
ejpam-6381	355	3	)	)	PUNCT
ejpam-6381	355	4	,	,	PUNCT
ejpam-6381	355	5	x43(t	x43(t	X
ejpam-6381	355	6	)	)	PUNCT
ejpam-6381	355	7	=	=	SYM
ejpam-6381	356	1	1	1	NUM
ejpam-6381	356	2	+	+	NUM
ejpam-6381	356	3	11tν	11tν	ADJ
ejpam-6381	356	4	γ(ν	γ(ν	PROPN
ejpam-6381	357	1	+	+	CCONJ
ejpam-6381	357	2	1	1	NUM
ejpam-6381	357	3	)	)	PUNCT
ejpam-6381	358	1	+	+	CCONJ
ejpam-6381	358	2	22	22	NUM
ejpam-6381	358	3	t2ν	t2ν	NOUN
ejpam-6381	358	4	γ(2ν	γ(2ν	NOUN
ejpam-6381	359	1	+	+	CCONJ
ejpam-6381	359	2	1	1	X
ejpam-6381	359	3	)	)	PUNCT
ejpam-6381	359	4	+	+	CCONJ
ejpam-6381	359	5	(	(	PUNCT
ejpam-6381	359	6	−514	−514	NOUN
ejpam-6381	359	7	+	+	CCONJ
ejpam-6381	359	8	γ(2ν	γ(2ν	NOUN
ejpam-6381	359	9	+	+	NOUN
ejpam-6381	359	10	1	1	NUM
ejpam-6381	359	11	)	)	PUNCT
ejpam-6381	359	12	(	(	PUNCT
ejpam-6381	359	13	γ(ν	γ(ν	PROPN
ejpam-6381	360	1	+	+	CCONJ
ejpam-6381	360	2	1))2	1))2	NUM
ejpam-6381	360	3	)	)	PUNCT
ejpam-6381	360	4	t3ν	t3ν	NOUN
ejpam-6381	360	5	γ(3ν	γ(3ν	NUM
ejpam-6381	360	6	+	+	NOUN
ejpam-6381	360	7	1	1	NUM
ejpam-6381	360	8	)	)	PUNCT
ejpam-6381	360	9	.	.	PUNCT
ejpam-6381	361	1	(	(	PUNCT
ejpam-6381	361	2	32	32	NUM
ejpam-6381	361	3	)	)	PUNCT
ejpam-6381	361	4	this	this	DET
ejpam-6381	361	5	process	process	NOUN
ejpam-6381	361	6	can	can	AUX
ejpam-6381	361	7	be	be	AUX
ejpam-6381	361	8	reiterated	reiterate	VERB
ejpam-6381	361	9	until	until	SCONJ
ejpam-6381	361	10	the	the	DET
ejpam-6381	361	11	coefficients	coefficient	NOUN
ejpam-6381	361	12	associated	associate	VERB
ejpam-6381	361	13	with	with	ADP
ejpam-6381	361	14	the	the	DET
ejpam-6381	361	15	multiple	multiple	ADJ
ejpam-6381	361	16	fractional	fractional	ADJ
ejpam-6381	361	17	ps	ps	NOUN
ejpam-6381	361	18	solutions	solution	NOUN
ejpam-6381	361	19	of	of	ADP
ejpam-6381	361	20	equations	equation	NOUN
ejpam-6381	361	21	(	(	PUNCT
ejpam-6381	361	22	11	11	NUM
ejpam-6381	361	23	-	-	SYM
ejpam-6381	361	24	12	12	NUM
ejpam-6381	361	25	)	)	PUNCT
ejpam-6381	361	26	are	be	AUX
ejpam-6381	361	27	acquired	acquire	VERB
ejpam-6381	361	28	in	in	ADP
ejpam-6381	361	29	the	the	DET
ejpam-6381	361	30	desired	desire	VERB
ejpam-6381	361	31	order	order	NOUN
ejpam-6381	361	32	.	.	PUNCT
ejpam-6381	362	1	here	here	ADV
ejpam-6381	362	2	,	,	PUNCT
ejpam-6381	362	3	the	the	DET
ejpam-6381	362	4	parameter	parameter	NOUN
ejpam-6381	362	5	values	value	NOUN
ejpam-6381	362	6	are	be	AUX
ejpam-6381	362	7	taken	take	VERB
ejpam-6381	362	8	as	as	ADP
ejpam-6381	362	9	a	a	DET
ejpam-6381	362	10	=	=	SYM
ejpam-6381	362	11	35	35	NUM
ejpam-6381	362	12	,	,	PUNCT
ejpam-6381	362	13	b	b	NOUN
ejpam-6381	362	14	=	=	SYM
ejpam-6381	362	15	3	3	NUM
ejpam-6381	362	16	,	,	PUNCT
ejpam-6381	362	17	c	c	NOUN
ejpam-6381	362	18	=	=	SYM
ejpam-6381	362	19	12	12	NUM
ejpam-6381	362	20	,	,	PUNCT
ejpam-6381	362	21	and	and	CCONJ
ejpam-6381	362	22	d	d	NOUN
ejpam-6381	362	23	=	=	SYM
ejpam-6381	362	24	10	10	NUM
ejpam-6381	362	25	.	.	PUNCT
ejpam-6381	362	26	i.kadri	i.kadri	PROPN
ejpam-6381	362	27	et	et	PROPN
ejpam-6381	362	28	al	al	PROPN
ejpam-6381	362	29	.	.	PUNCT
ejpam-6381	362	30	/	/	SYM
ejpam-6381	362	31	eur	eur	PROPN
ejpam-6381	362	32	.	.	PUNCT
ejpam-6381	363	1	j.	j.	PROPN
ejpam-6381	363	2	pure	pure	PROPN
ejpam-6381	363	3	appl	appl	PROPN
ejpam-6381	363	4	.	.	PROPN
ejpam-6381	363	5	math	math	PROPN
ejpam-6381	363	6	,	,	PUNCT
ejpam-6381	363	7	18	18	NUM
ejpam-6381	363	8	(	(	PUNCT
ejpam-6381	363	9	3	3	NUM
ejpam-6381	363	10	)	)	PUNCT
ejpam-6381	363	11	(	(	PUNCT
ejpam-6381	363	12	2025	2025	NUM
ejpam-6381	363	13	)	)	PUNCT
ejpam-6381	363	14	,	,	PUNCT
ejpam-6381	363	15	6381	6381	NUM
ejpam-6381	363	16	14	14	NUM
ejpam-6381	363	17	of	of	ADP
ejpam-6381	363	18	19	19	NUM
ejpam-6381	363	19	6	6	NUM
ejpam-6381	363	20	.	.	PUNCT
ejpam-6381	364	1	application	application	NOUN
ejpam-6381	364	2	of	of	ADP
ejpam-6381	364	3	the	the	DET
ejpam-6381	364	4	cfd	cfd	NOUN
ejpam-6381	364	5	and	and	CCONJ
ejpam-6381	364	6	rpsm	rpsm	VERB
ejpam-6381	364	7	to	to	ADP
ejpam-6381	364	8	chaotic	chaotic	ADJ
ejpam-6381	364	9	dynamical	dynamical	ADJ
ejpam-6381	364	10	system	system	NOUN
ejpam-6381	364	11	in	in	ADP
ejpam-6381	364	12	this	this	DET
ejpam-6381	364	13	section	section	NOUN
ejpam-6381	365	1	,	,	PUNCT
ejpam-6381	365	2	we	we	PRON
ejpam-6381	365	3	present	present	VERB
ejpam-6381	365	4	numerical	numerical	ADJ
ejpam-6381	365	5	solutions	solution	NOUN
ejpam-6381	365	6	acquired	acquire	VERB
ejpam-6381	365	7	with	with	ADP
ejpam-6381	365	8	the	the	DET
ejpam-6381	365	9	residual	residual	ADJ
ejpam-6381	365	10	power	power	NOUN
ejpam-6381	365	11	series	series	NOUN
ejpam-6381	365	12	method	method	NOUN
ejpam-6381	365	13	(	(	PUNCT
ejpam-6381	365	14	rpsm	rpsm	VERB
ejpam-6381	365	15	)	)	PUNCT
ejpam-6381	365	16	to	to	PART
ejpam-6381	365	17	solve	solve	VERB
ejpam-6381	365	18	the	the	DET
ejpam-6381	365	19	system	system	NOUN
ejpam-6381	365	20	2	2	NUM
ejpam-6381	365	21	.	.	PUNCT
ejpam-6381	366	1	the	the	DET
ejpam-6381	366	2	solutions	solution	NOUN
ejpam-6381	366	3	are	be	AUX
ejpam-6381	366	4	computed	compute	VERB
ejpam-6381	366	5	for	for	ADP
ejpam-6381	366	6	different	different	ADJ
ejpam-6381	366	7	values	value	NOUN
ejpam-6381	366	8	of	of	ADP
ejpam-6381	366	9	fractional	fractional	ADJ
ejpam-6381	366	10	order	order	NOUN
ejpam-6381	366	11	(	(	PUNCT
ejpam-6381	366	12	0.95	0.95	NUM
ejpam-6381	366	13	,	,	PUNCT
ejpam-6381	366	14	0.99	0.99	NUM
ejpam-6381	366	15	,	,	PUNCT
ejpam-6381	366	16	and	and	CCONJ
ejpam-6381	366	17	1	1	NUM
ejpam-6381	366	18	)	)	PUNCT
ejpam-6381	366	19	with	with	ADP
ejpam-6381	366	20	homogeneous	homogeneous	ADJ
ejpam-6381	366	21	initial	initial	ADJ
ejpam-6381	366	22	conditions	condition	NOUN
ejpam-6381	366	23	.	.	PUNCT
ejpam-6381	367	1	the	the	DET
ejpam-6381	367	2	objective	objective	NOUN
ejpam-6381	367	3	is	be	AUX
ejpam-6381	367	4	to	to	PART
ejpam-6381	367	5	investigate	investigate	VERB
ejpam-6381	367	6	the	the	DET
ejpam-6381	367	7	effect	effect	NOUN
ejpam-6381	367	8	of	of	ADP
ejpam-6381	367	9	fractional	fractional	ADJ
ejpam-6381	367	10	order	order	NOUN
ejpam-6381	367	11	on	on	ADP
ejpam-6381	367	12	the	the	DET
ejpam-6381	367	13	dynamics	dynamic	NOUN
ejpam-6381	367	14	of	of	ADP
ejpam-6381	367	15	the	the	DET
ejpam-6381	367	16	system	system	NOUN
ejpam-6381	367	17	and	and	CCONJ
ejpam-6381	367	18	to	to	PART
ejpam-6381	367	19	analyze	analyze	VERB
ejpam-6381	367	20	the	the	DET
ejpam-6381	367	21	accuracy	accuracy	NOUN
ejpam-6381	367	22	and	and	CCONJ
ejpam-6381	367	23	convergence	convergence	NOUN
ejpam-6381	367	24	of	of	ADP
ejpam-6381	367	25	the	the	DET
ejpam-6381	367	26	rpsm	rpsm	PROPN
ejpam-6381	367	27	method	method	NOUN
ejpam-6381	367	28	.	.	PUNCT
ejpam-6381	368	1	tables	table	NOUN
ejpam-6381	368	2	4	4	NUM
ejpam-6381	368	3	,	,	PUNCT
ejpam-6381	368	4	5	5	NUM
ejpam-6381	368	5	,	,	PUNCT
ejpam-6381	368	6	and	and	CCONJ
ejpam-6381	368	7	6	6	NUM
ejpam-6381	368	8	exhibit	exhibit	NOUN
ejpam-6381	368	9	numerical	numerical	ADJ
ejpam-6381	368	10	data	datum	NOUN
ejpam-6381	368	11	for	for	ADP
ejpam-6381	368	12	the	the	DET
ejpam-6381	368	13	first	first	ADJ
ejpam-6381	368	14	4	4	NUM
ejpam-6381	368	15	terms	term	NOUN
ejpam-6381	368	16	of	of	ADP
ejpam-6381	368	17	the	the	DET
ejpam-6381	368	18	solutions	solution	NOUN
ejpam-6381	368	19	,	,	PUNCT
ejpam-6381	368	20	showing	show	VERB
ejpam-6381	368	21	solutions	solution	NOUN
ejpam-6381	368	22	of	of	ADP
ejpam-6381	368	23	the	the	DET
ejpam-6381	368	24	system	system	NOUN
ejpam-6381	368	25	2	2	NUM
ejpam-6381	368	26	employing	employ	VERB
ejpam-6381	368	27	the	the	DET
ejpam-6381	368	28	residual	residual	ADJ
ejpam-6381	368	29	power	power	NOUN
ejpam-6381	368	30	series	series	NOUN
ejpam-6381	368	31	method	method	NOUN
ejpam-6381	368	32	(	(	PUNCT
ejpam-6381	368	33	rpsm	rpsm	PROPN
ejpam-6381	368	34	)	)	PUNCT
ejpam-6381	368	35	for	for	ADP
ejpam-6381	368	36	various	various	ADJ
ejpam-6381	368	37	fractional	fractional	ADJ
ejpam-6381	368	38	order	order	NOUN
ejpam-6381	368	39	values	value	NOUN
ejpam-6381	368	40	of	of	ADP
ejpam-6381	368	41	ν	ν	NOUN
ejpam-6381	368	42	(	(	PUNCT
ejpam-6381	368	43	0.95	0.95	NUM
ejpam-6381	368	44	,	,	PUNCT
ejpam-6381	368	45	0.99	0.99	NUM
ejpam-6381	368	46	,	,	PUNCT
ejpam-6381	368	47	and	and	CCONJ
ejpam-6381	368	48	1	1	NUM
ejpam-6381	368	49	)	)	PUNCT
ejpam-6381	368	50	.	.	PUNCT
ejpam-6381	369	1	the	the	DET
ejpam-6381	369	2	data	datum	NOUN
ejpam-6381	369	3	show	show	VERB
ejpam-6381	369	4	a	a	DET
ejpam-6381	369	5	decrease	decrease	NOUN
ejpam-6381	369	6	with	with	ADP
ejpam-6381	369	7	decreasing	decrease	VERB
ejpam-6381	369	8	t	t	NOUN
ejpam-6381	369	9	values	value	NOUN
ejpam-6381	369	10	and	and	CCONJ
ejpam-6381	369	11	eventually	eventually	ADV
ejpam-6381	369	12	converge	converge	VERB
ejpam-6381	369	13	,	,	PUNCT
ejpam-6381	369	14	hence	hence	ADV
ejpam-6381	369	15	verifying	verify	VERB
ejpam-6381	369	16	stability	stability	NOUN
ejpam-6381	369	17	and	and	CCONJ
ejpam-6381	369	18	the	the	DET
ejpam-6381	369	19	correctness	correctness	NOUN
ejpam-6381	369	20	of	of	ADP
ejpam-6381	369	21	the	the	DET
ejpam-6381	369	22	approach	approach	NOUN
ejpam-6381	369	23	.	.	PUNCT
ejpam-6381	370	1	different	different	ADJ
ejpam-6381	370	2	ν	ν	NOUN
ejpam-6381	370	3	values	value	NOUN
ejpam-6381	370	4	compared	compare	VERB
ejpam-6381	370	5	reveal	reveal	VERB
ejpam-6381	370	6	little	little	ADJ
ejpam-6381	370	7	variance	variance	NOUN
ejpam-6381	370	8	in	in	ADP
ejpam-6381	370	9	the	the	DET
ejpam-6381	370	10	solutions	solution	NOUN
ejpam-6381	370	11	,	,	PUNCT
ejpam-6381	370	12	which	which	PRON
ejpam-6381	370	13	result	result	VERB
ejpam-6381	370	14	from	from	ADP
ejpam-6381	370	15	the	the	DET
ejpam-6381	370	16	fractionalorder	fractionalorder	PROPN
ejpam-6381	370	17	parameter	parameter	NOUN
ejpam-6381	370	18	on	on	ADP
ejpam-6381	370	19	system	system	NOUN
ejpam-6381	370	20	behavior	behavior	NOUN
ejpam-6381	370	21	.	.	PUNCT
ejpam-6381	371	1	the	the	DET
ejpam-6381	371	2	proximity	proximity	NOUN
ejpam-6381	371	3	of	of	ADP
ejpam-6381	371	4	values	value	NOUN
ejpam-6381	371	5	with	with	ADP
ejpam-6381	371	6	diminishing	diminish	VERB
ejpam-6381	371	7	step	step	NOUN
ejpam-6381	371	8	sizes	size	NOUN
ejpam-6381	371	9	further	far	ADV
ejpam-6381	371	10	attests	attest	VERB
ejpam-6381	371	11	to	to	ADP
ejpam-6381	371	12	the	the	DET
ejpam-6381	371	13	effectiveness	effectiveness	NOUN
ejpam-6381	371	14	of	of	ADP
ejpam-6381	371	15	rpsm	rpsm	PROPN
ejpam-6381	371	16	.	.	PUNCT
ejpam-6381	372	1	these	these	DET
ejpam-6381	372	2	results	result	NOUN
ejpam-6381	372	3	confirm	confirm	VERB
ejpam-6381	372	4	the	the	DET
ejpam-6381	372	5	method	method	NOUN
ejpam-6381	372	6	’s	’s	PART
ejpam-6381	372	7	efficacy	efficacy	NOUN
ejpam-6381	372	8	in	in	ADP
ejpam-6381	372	9	fractional	fractional	ADJ
ejpam-6381	372	10	-	-	PUNCT
ejpam-6381	372	11	order	order	NOUN
ejpam-6381	372	12	differential	differential	NOUN
ejpam-6381	372	13	systems	system	NOUN
ejpam-6381	372	14	,	,	PUNCT
ejpam-6381	372	15	hence	hence	ADV
ejpam-6381	372	16	proving	prove	VERB
ejpam-6381	372	17	its	its	PRON
ejpam-6381	372	18	relevance	relevance	NOUN
ejpam-6381	372	19	in	in	ADP
ejpam-6381	372	20	mathematical	mathematical	ADJ
ejpam-6381	372	21	modeling	modeling	NOUN
ejpam-6381	372	22	.	.	PUNCT
ejpam-6381	373	1	table	table	NOUN
ejpam-6381	373	2	4	4	NUM
ejpam-6381	373	3	:	:	PUNCT
ejpam-6381	373	4	solutions	solution	NOUN
ejpam-6381	373	5	of	of	ADP
ejpam-6381	373	6	system	system	NOUN
ejpam-6381	373	7	(	(	PUNCT
ejpam-6381	373	8	2	2	X
ejpam-6381	373	9	)	)	PUNCT
ejpam-6381	373	10	using	use	VERB
ejpam-6381	373	11	rpsm	rpsm	ADV
ejpam-6381	373	12	for	for	ADP
ejpam-6381	373	13	(	(	PUNCT
ejpam-6381	373	14	x10	x10	NOUN
ejpam-6381	373	15	,	,	PUNCT
ejpam-6381	373	16	x20	x20	PROPN
ejpam-6381	373	17	,	,	PUNCT
ejpam-6381	373	18	x30	x30	PROPN
ejpam-6381	373	19	,	,	PUNCT
ejpam-6381	373	20	x40	x40	PROPN
ejpam-6381	373	21	)	)	PUNCT
ejpam-6381	373	22	=	=	PUNCT
ejpam-6381	374	1	(	(	PUNCT
ejpam-6381	374	2	1	1	NUM
ejpam-6381	374	3	,	,	PUNCT
ejpam-6381	374	4	1	1	NUM
ejpam-6381	374	5	,	,	PUNCT
ejpam-6381	374	6	1	1	NUM
ejpam-6381	374	7	,	,	PUNCT
ejpam-6381	374	8	1	1	NUM
ejpam-6381	374	9	)	)	PUNCT
ejpam-6381	374	10	where	where	SCONJ
ejpam-6381	374	11	ν	ν	X
ejpam-6381	374	12	=	=	SYM
ejpam-6381	375	1	1	1	X
ejpam-6381	375	2	.	.	PUNCT
ejpam-6381	376	1	t	t	NOUN
ejpam-6381	376	2	x1	x1	NOUN
ejpam-6381	377	1	x2	x2	PROPN
ejpam-6381	377	2	x3	x3	PROPN
ejpam-6381	377	3	x4	x4	PROPN
ejpam-6381	377	4	0.5	0.5	NUM
ejpam-6381	377	5	0.501189960570766	0.501189960570766	NUM
ejpam-6381	377	6	1.010000344410005	1.010000344410005	NUM
ejpam-6381	377	7	3.540065400660771	3.540065400660771	NUM
ejpam-6381	377	8	5.564300000813071	5.564300000813071	NUM
ejpam-6381	377	9	0.6	0.6	NUM
ejpam-6381	377	10	0.600000699400806	0.600000699400806	NUM
ejpam-6381	377	11	1.210000155410008	1.210000155410008	NUM
ejpam-6381	377	12	4.200061400760091	4.200061400760091	NUM
ejpam-6381	377	13	6.663400200643092	6.663400200643092	NUM
ejpam-6381	377	14	0.7	0.7	NUM
ejpam-6381	377	15	0.700460199106844	0.700460199106844	NUM
ejpam-6381	377	16	1.441241155418083	1.441241155418083	NUM
ejpam-6381	377	17	4.966107145270071	4.966107145270071	NUM
ejpam-6381	378	1	7.764400204643071	7.764400204643071	NUM
ejpam-6381	378	2	0.8	0.8	NUM
ejpam-6381	378	3	0.821342118443442	0.821342118443442	NUM
ejpam-6381	378	4	1.630061378692061	1.630061378692061	NUM
ejpam-6381	378	5	5.665176578821620	5.665176578821620	NUM
ejpam-6381	378	6	8.885010322064221	8.885010322064221	NUM
ejpam-6381	378	7	0.9	0.9	NUM
ejpam-6381	378	8	0.933755705487631	0.933755705487631	NUM
ejpam-6381	378	9	1.850027650460755	1.850027650460755	NUM
ejpam-6381	378	10	6.369196439800855	6.369196439800855	NUM
ejpam-6381	378	11	9.976584402223558	9.976584402223558	NUM
ejpam-6381	378	12	1.0	1.0	NUM
ejpam-6381	378	13	1.009700731466999	1.009700731466999	NUM
ejpam-6381	378	14	2.000800191391083	2.000800191391083	NUM
ejpam-6381	378	15	7.000761275589489	7.000761275589489	NUM
ejpam-6381	378	16	11.00897725296401	11.00897725296401	NUM
ejpam-6381	378	17	table	table	NOUN
ejpam-6381	378	18	5	5	NUM
ejpam-6381	378	19	:	:	PUNCT
ejpam-6381	378	20	solutions	solution	NOUN
ejpam-6381	378	21	of	of	ADP
ejpam-6381	378	22	system	system	NOUN
ejpam-6381	378	23	(	(	PUNCT
ejpam-6381	378	24	2	2	X
ejpam-6381	378	25	)	)	PUNCT
ejpam-6381	378	26	using	use	VERB
ejpam-6381	378	27	rpsm	rpsm	ADV
ejpam-6381	378	28	for	for	ADP
ejpam-6381	378	29	(	(	PUNCT
ejpam-6381	378	30	x10	x10	NOUN
ejpam-6381	378	31	,	,	PUNCT
ejpam-6381	378	32	x20	x20	PROPN
ejpam-6381	378	33	,	,	PUNCT
ejpam-6381	378	34	x30	x30	PROPN
ejpam-6381	378	35	,	,	PUNCT
ejpam-6381	378	36	x40	x40	PROPN
ejpam-6381	378	37	)	)	PUNCT
ejpam-6381	378	38	=	=	PUNCT
ejpam-6381	378	39	(	(	PUNCT
ejpam-6381	378	40	1	1	NUM
ejpam-6381	378	41	,	,	PUNCT
ejpam-6381	378	42	1	1	NUM
ejpam-6381	378	43	,	,	PUNCT
ejpam-6381	378	44	1	1	NUM
ejpam-6381	378	45	,	,	PUNCT
ejpam-6381	378	46	1	1	NUM
ejpam-6381	378	47	)	)	PUNCT
ejpam-6381	378	48	where	where	SCONJ
ejpam-6381	378	49	ν	ν	X
ejpam-6381	378	50	=	=	NOUN
ejpam-6381	378	51	0.99	0.99	NUM
ejpam-6381	378	52	.	.	PUNCT
ejpam-6381	379	1	t	t	NOUN
ejpam-6381	379	2	x1	x1	NOUN
ejpam-6381	380	1	x2	x2	PROPN
ejpam-6381	380	2	x3	x3	PROPN
ejpam-6381	380	3	x4	x4	PROPN
ejpam-6381	380	4	0.5	0.5	NUM
ejpam-6381	380	5	0.505595555300738	0.505595555300738	NUM
ejpam-6381	380	6	1.011193002380041	1.011193002380041	NUM
ejpam-6381	380	7	3.539167400662136	3.539167400662136	NUM
ejpam-6381	380	8	5.561546530022142	5.561546530022142	NUM
ejpam-6381	380	9	0.6	0.6	NUM
ejpam-6381	380	10	0.605608366300064	0.605608366300064	NUM
ejpam-6381	380	11	1.211224063300052	1.211224063300052	NUM
ejpam-6381	380	12	4.239265004152555	4.239265004152555	NUM
ejpam-6381	380	13	6.661698300312111	6.661698300312111	NUM
ejpam-6381	380	14	0.7	0.7	NUM
ejpam-6381	380	15	0.705455377406621	0.705455377406621	NUM
ejpam-6381	380	16	1.410910065307072	1.410910065307072	NUM
ejpam-6381	380	17	4.938186043162656	4.938186043162656	NUM
ejpam-6381	380	18	7.761698403922141	7.761698403922141	NUM
ejpam-6381	380	19	0.8	0.8	NUM
ejpam-6381	380	20	0.805157220074431	0.805157220074431	NUM
ejpam-6381	380	21	1.809471378646070	1.809471378646070	NUM
ejpam-6381	380	22	6.333169556721431	6.333169556721431	NUM
ejpam-6381	380	23	9.952118122074211	9.952118122074211	NUM
ejpam-6381	380	24	0.9	0.9	NUM
ejpam-6381	380	25	0.904737604366541	0.904737604366541	NUM
ejpam-6381	380	26	1.809476670465756	1.809476670465756	NUM
ejpam-6381	380	27	6.333165237606752	6.333165237606752	NUM
ejpam-6381	380	28	9.952162304313457	9.952162304313457	NUM
ejpam-6381	380	29	1.0	1.0	NUM
ejpam-6381	380	30	1.004275561446867	1.004275561446867	NUM
ejpam-6381	380	31	2.008410162371001	2.008410162371001	NUM
ejpam-6381	380	32	7.029432265578476	7.029432265578476	NUM
ejpam-6381	380	33	11.04625221527541	11.04625221527541	NUM
ejpam-6381	380	34	i.kadri	i.kadri	X
ejpam-6381	380	35	et	et	PROPN
ejpam-6381	380	36	al	al	PROPN
ejpam-6381	380	37	.	.	PUNCT
ejpam-6381	380	38	/	/	SYM
ejpam-6381	380	39	eur	eur	PROPN
ejpam-6381	380	40	.	.	PUNCT
ejpam-6381	381	1	j.	j.	PROPN
ejpam-6381	381	2	pure	pure	PROPN
ejpam-6381	381	3	appl	appl	PROPN
ejpam-6381	381	4	.	.	PROPN
ejpam-6381	381	5	math	math	PROPN
ejpam-6381	381	6	,	,	PUNCT
ejpam-6381	381	7	18	18	NUM
ejpam-6381	381	8	(	(	PUNCT
ejpam-6381	381	9	3	3	NUM
ejpam-6381	381	10	)	)	PUNCT
ejpam-6381	381	11	(	(	PUNCT
ejpam-6381	381	12	2025	2025	NUM
ejpam-6381	381	13	)	)	PUNCT
ejpam-6381	381	14	,	,	PUNCT
ejpam-6381	381	15	6381	6381	NUM
ejpam-6381	381	16	15	15	NUM
ejpam-6381	381	17	of	of	ADP
ejpam-6381	381	18	19	19	NUM
ejpam-6381	381	19	table	table	NOUN
ejpam-6381	381	20	6	6	NUM
ejpam-6381	381	21	:	:	PUNCT
ejpam-6381	381	22	solutions	solution	NOUN
ejpam-6381	381	23	of	of	ADP
ejpam-6381	381	24	system	system	NOUN
ejpam-6381	381	25	(	(	PUNCT
ejpam-6381	381	26	2	2	X
ejpam-6381	381	27	)	)	PUNCT
ejpam-6381	381	28	using	use	VERB
ejpam-6381	381	29	rpsm	rpsm	ADV
ejpam-6381	381	30	for	for	ADP
ejpam-6381	381	31	(	(	PUNCT
ejpam-6381	381	32	x10	x10	NOUN
ejpam-6381	381	33	,	,	PUNCT
ejpam-6381	381	34	x20	x20	PROPN
ejpam-6381	381	35	,	,	PUNCT
ejpam-6381	381	36	x30	x30	PROPN
ejpam-6381	381	37	,	,	PUNCT
ejpam-6381	381	38	x40	x40	PROPN
ejpam-6381	381	39	)	)	PUNCT
ejpam-6381	381	40	=	=	PUNCT
ejpam-6381	381	41	(	(	PUNCT
ejpam-6381	381	42	1	1	NUM
ejpam-6381	381	43	,	,	PUNCT
ejpam-6381	381	44	1	1	NUM
ejpam-6381	381	45	,	,	PUNCT
ejpam-6381	381	46	1	1	NUM
ejpam-6381	381	47	,	,	PUNCT
ejpam-6381	381	48	1	1	NUM
ejpam-6381	381	49	)	)	PUNCT
ejpam-6381	381	50	where	where	SCONJ
ejpam-6381	381	51	ν	ν	X
ejpam-6381	381	52	=	=	NOUN
ejpam-6381	381	53	0.95	0.95	NUM
ejpam-6381	381	54	.	.	PUNCT
ejpam-6381	382	1	t	t	NOUN
ejpam-6381	382	2	x1	x1	NOUN
ejpam-6381	383	1	x2	x2	PROPN
ejpam-6381	383	2	x3	x3	PROPN
ejpam-6381	383	3	x4	x4	PROPN
ejpam-6381	383	4	0.5	0.5	NUM
ejpam-6381	383	5	0.528261457200942	0.528261457200942	NUM
ejpam-6381	383	6	1.056520060720154	1.056520060720154	NUM
ejpam-6381	383	7	3.697832000373467	3.697832000373467	NUM
ejpam-6381	383	8	5.810878940022073	5.810878940022073	NUM
ejpam-6381	383	9	0.6	0.6	NUM
ejpam-6381	383	10	0.628160365000042	0.628160365000042	NUM
ejpam-6381	383	11	1.256321072320061	1.256321072320061	NUM
ejpam-6381	383	12	4.397125003153668	4.397125003153668	NUM
ejpam-6381	383	13	6.909767440722251	6.909767440722251	NUM
ejpam-6381	383	14	0.7	0.7	NUM
ejpam-6381	383	15	0.727227431023701	0.727227431023701	NUM
ejpam-6381	383	16	1.454451329793310	1.454451329793310	NUM
ejpam-6381	383	17	5.090599567821537	5.090599567821537	NUM
ejpam-6381	383	18	7.999519332062421	7.999519332062421	NUM
ejpam-6381	383	19	0.8	0.8	NUM
ejpam-6381	383	20	0.825854310237016	0.825854310237016	NUM
ejpam-6381	383	21	1.651171388672142	1.651171388672142	NUM
ejpam-6381	383	22	5.779199568921548	5.779199568921548	NUM
ejpam-6381	383	23	9.081457211094202	9.081457211094202	NUM
ejpam-6381	383	24	0.9	0.9	NUM
ejpam-6381	383	25	0.923218096487542	0.923218096487542	NUM
ejpam-6381	383	26	1.454457750267755	1.454457750267755	NUM
ejpam-6381	383	27	5.090595337506652	5.090595337506652	NUM
ejpam-6381	383	28	7.999574401223463	7.999574401223463	NUM
ejpam-6381	383	29	1.0	1.0	NUM
ejpam-6381	383	30	1.020536481457856	1.020536481457856	NUM
ejpam-6381	383	31	2.041060182371174	2.041060182371174	NUM
ejpam-6381	383	32	7.143732264476477	7.143732264476477	NUM
ejpam-6381	383	33	11.22595132227552	11.22595132227552	NUM
ejpam-6381	383	34	7	7	NUM
ejpam-6381	383	35	.	.	PUNCT
ejpam-6381	383	36	conclusion	conclusion	NOUN
ejpam-6381	383	37	to	to	PART
ejpam-6381	383	38	investigate	investigate	VERB
ejpam-6381	383	39	the	the	DET
ejpam-6381	383	40	intricate	intricate	ADJ
ejpam-6381	383	41	dynamics	dynamic	NOUN
ejpam-6381	383	42	within	within	ADP
ejpam-6381	383	43	the	the	DET
ejpam-6381	383	44	four	four	NUM
ejpam-6381	383	45	-	-	PUNCT
ejpam-6381	383	46	dimensional	dimensional	ADJ
ejpam-6381	383	47	fractional	fractional	ADJ
ejpam-6381	383	48	order	order	NOUN
ejpam-6381	383	49	system	system	NOUN
ejpam-6381	384	1	,	,	PUNCT
ejpam-6381	384	2	this	this	DET
ejpam-6381	384	3	study	study	NOUN
ejpam-6381	384	4	shows	show	VERB
ejpam-6381	384	5	the	the	DET
ejpam-6381	384	6	efficiency	efficiency	NOUN
ejpam-6381	384	7	of	of	ADP
ejpam-6381	384	8	the	the	DET
ejpam-6381	384	9	residual	residual	ADJ
ejpam-6381	384	10	power	power	NOUN
ejpam-6381	384	11	series	series	NOUN
ejpam-6381	384	12	method	method	NOUN
ejpam-6381	384	13	(	(	PUNCT
ejpam-6381	384	14	rpsm	rpsm	PROPN
ejpam-6381	384	15	)	)	PUNCT
ejpam-6381	384	16	and	and	CCONJ
ejpam-6381	384	17	the	the	DET
ejpam-6381	384	18	caputo	caputo	PROPN
ejpam-6381	384	19	fractional	fractional	PROPN
ejpam-6381	384	20	derivative	derivative	PROPN
ejpam-6381	384	21	(	(	PUNCT
ejpam-6381	384	22	cfd	cfd	NOUN
ejpam-6381	384	23	)	)	PUNCT
ejpam-6381	384	24	.	.	PUNCT
ejpam-6381	385	1	the	the	DET
ejpam-6381	385	2	rpsm	rpsm	PROPN
ejpam-6381	385	3	is	be	AUX
ejpam-6381	385	4	a	a	DET
ejpam-6381	385	5	reliable	reliable	ADJ
ejpam-6381	385	6	and	and	CCONJ
ejpam-6381	385	7	simple	simple	ADJ
ejpam-6381	385	8	way	way	NOUN
ejpam-6381	385	9	to	to	PART
ejpam-6381	385	10	get	get	VERB
ejpam-6381	385	11	analytical	analytical	ADJ
ejpam-6381	385	12	answers	answer	NOUN
ejpam-6381	385	13	;	;	PUNCT
ejpam-6381	385	14	the	the	DET
ejpam-6381	385	15	cfd	cfd	NOUN
ejpam-6381	385	16	approach	approach	NOUN
ejpam-6381	385	17	is	be	AUX
ejpam-6381	385	18	seen	see	VERB
ejpam-6381	385	19	to	to	PART
ejpam-6381	385	20	provide	provide	VERB
ejpam-6381	385	21	extremely	extremely	ADV
ejpam-6381	385	22	accurate	accurate	ADJ
ejpam-6381	385	23	numerical	numerical	ADJ
ejpam-6381	385	24	simulations	simulation	NOUN
ejpam-6381	385	25	and	and	CCONJ
ejpam-6381	385	26	effectively	effectively	ADV
ejpam-6381	385	27	capture	capture	VERB
ejpam-6381	385	28	chaotic	chaotic	ADJ
ejpam-6381	385	29	behavior	behavior	NOUN
ejpam-6381	385	30	,	,	PUNCT
ejpam-6381	385	31	and	and	CCONJ
ejpam-6381	385	32	by	by	ADP
ejpam-6381	385	33	means	mean	NOUN
ejpam-6381	385	34	of	of	ADP
ejpam-6381	385	35	these	these	DET
ejpam-6381	385	36	two	two	NUM
ejpam-6381	385	37	approaches	approach	NOUN
ejpam-6381	385	38	,	,	PUNCT
ejpam-6381	385	39	one	one	NUM
ejpam-6381	385	40	gains	gain	VERB
ejpam-6381	385	41	additional	additional	ADJ
ejpam-6381	385	42	insight	insight	NOUN
ejpam-6381	385	43	into	into	ADP
ejpam-6381	385	44	the	the	DET
ejpam-6381	385	45	complex	complex	ADJ
ejpam-6381	385	46	dynamics	dynamic	NOUN
ejpam-6381	385	47	of	of	ADP
ejpam-6381	385	48	the	the	DET
ejpam-6381	385	49	system	system	NOUN
ejpam-6381	385	50	.	.	PUNCT
ejpam-6381	386	1	in	in	ADP
ejpam-6381	386	2	addition	addition	NOUN
ejpam-6381	386	3	to	to	ADP
ejpam-6381	386	4	providing	provide	VERB
ejpam-6381	386	5	useful	useful	ADJ
ejpam-6381	386	6	tools	tool	NOUN
ejpam-6381	386	7	for	for	ADP
ejpam-6381	386	8	modeling	modeling	NOUN
ejpam-6381	386	9	and	and	CCONJ
ejpam-6381	386	10	solving	solve	VERB
ejpam-6381	386	11	fractional	fractional	ADJ
ejpam-6381	386	12	-	-	PUNCT
ejpam-6381	386	13	order	order	NOUN
ejpam-6381	386	14	systems	system	NOUN
ejpam-6381	386	15	,	,	PUNCT
ejpam-6381	386	16	the	the	DET
ejpam-6381	386	17	findings	finding	NOUN
ejpam-6381	386	18	reveal	reveal	VERB
ejpam-6381	386	19	that	that	SCONJ
ejpam-6381	386	20	both	both	DET
ejpam-6381	386	21	techniques	technique	NOUN
ejpam-6381	386	22	are	be	AUX
ejpam-6381	386	23	successful	successful	ADJ
ejpam-6381	386	24	in	in	ADP
ejpam-6381	386	25	discovering	discover	VERB
ejpam-6381	386	26	chaotic	chaotic	ADJ
ejpam-6381	386	27	attractors	attractor	NOUN
ejpam-6381	386	28	and	and	CCONJ
ejpam-6381	386	29	closely	closely	ADV
ejpam-6381	386	30	approximating	approximate	VERB
ejpam-6381	386	31	the	the	DET
ejpam-6381	386	32	behavior	behavior	NOUN
ejpam-6381	386	33	of	of	ADP
ejpam-6381	386	34	these	these	DET
ejpam-6381	386	35	systems	system	NOUN
ejpam-6381	386	36	.	.	PUNCT
ejpam-6381	387	1	due	due	ADP
ejpam-6381	387	2	to	to	ADP
ejpam-6381	387	3	the	the	DET
ejpam-6381	387	4	accuracy	accuracy	NOUN
ejpam-6381	387	5	and	and	CCONJ
ejpam-6381	387	6	consistency	consistency	NOUN
ejpam-6381	387	7	of	of	ADP
ejpam-6381	387	8	these	these	DET
ejpam-6381	387	9	methodologies	methodology	NOUN
ejpam-6381	387	10	,	,	PUNCT
ejpam-6381	387	11	they	they	PRON
ejpam-6381	387	12	offer	offer	VERB
ejpam-6381	387	13	tremendous	tremendous	ADJ
ejpam-6381	387	14	potential	potential	NOUN
ejpam-6381	387	15	for	for	ADP
ejpam-6381	387	16	future	future	ADJ
ejpam-6381	387	17	usage	usage	NOUN
ejpam-6381	387	18	in	in	ADP
ejpam-6381	387	19	engineering	engineering	NOUN
ejpam-6381	387	20	and	and	CCONJ
ejpam-6381	387	21	scientific	scientific	ADJ
ejpam-6381	387	22	research	research	NOUN
ejpam-6381	387	23	,	,	PUNCT
ejpam-6381	387	24	particularly	particularly	ADV
ejpam-6381	387	25	in	in	ADP
ejpam-6381	387	26	areas	area	NOUN
ejpam-6381	387	27	of	of	ADP
ejpam-6381	387	28	study	study	NOUN
ejpam-6381	387	29	where	where	SCONJ
ejpam-6381	387	30	fractional	fractional	ADJ
ejpam-6381	387	31	-	-	PUNCT
ejpam-6381	387	32	order	order	NOUN
ejpam-6381	387	33	models	model	NOUN
ejpam-6381	387	34	play	play	VERB
ejpam-6381	387	35	a	a	DET
ejpam-6381	387	36	key	key	ADJ
ejpam-6381	387	37	role	role	NOUN
ejpam-6381	387	38	.	.	PUNCT
ejpam-6381	388	1	in	in	ADP
ejpam-6381	388	2	the	the	DET
ejpam-6381	388	3	future	future	NOUN
ejpam-6381	388	4	,	,	PUNCT
ejpam-6381	388	5	we	we	PRON
ejpam-6381	388	6	intend	intend	VERB
ejpam-6381	388	7	to	to	PART
ejpam-6381	388	8	solve	solve	VERB
ejpam-6381	388	9	some	some	DET
ejpam-6381	388	10	new	new	ADJ
ejpam-6381	388	11	fractional	fractional	ADJ
ejpam-6381	388	12	models	model	NOUN
ejpam-6381	388	13	,	,	PUNCT
ejpam-6381	388	14	such	such	ADJ
ejpam-6381	388	15	as	as	ADP
ejpam-6381	388	16	in	in	ADP
ejpam-6381	388	17	[	[	NOUN
ejpam-6381	388	18	46–48	46–48	NUM
ejpam-6381	388	19	]	]	PUNCT
ejpam-6381	388	20	and	and	CCONJ
ejpam-6381	388	21	make	make	VERB
ejpam-6381	388	22	comparisons	comparison	NOUN
ejpam-6381	388	23	with	with	ADP
ejpam-6381	388	24	other	other	ADJ
ejpam-6381	388	25	numerical	numerical	ADJ
ejpam-6381	388	26	methods	method	NOUN
ejpam-6381	388	27	[	[	X
ejpam-6381	388	28	49–51	49–51	PROPN
ejpam-6381	388	29	]	]	PUNCT
ejpam-6381	388	30	.	.	PUNCT
ejpam-6381	389	1	acknowledgements	acknowledgement	NOUN
ejpam-6381	389	2	the	the	DET
ejpam-6381	389	3	authors	author	NOUN
ejpam-6381	389	4	thank	thank	VERB
ejpam-6381	389	5	the	the	DET
ejpam-6381	389	6	deanship	deanship	NOUN
ejpam-6381	389	7	in	in	ADP
ejpam-6381	389	8	zarqa	zarqa	PROPN
ejpam-6381	389	9	university	university	PROPN
ejpam-6381	389	10	.	.	PUNCT
ejpam-6381	390	1	this	this	DET
ejpam-6381	390	2	research	research	NOUN
ejpam-6381	390	3	is	be	AUX
ejpam-6381	390	4	fully	fully	ADV
ejpam-6381	390	5	funded	fund	VERB
ejpam-6381	390	6	by	by	ADP
ejpam-6381	390	7	zarqa	zarqa	PROPN
ejpam-6381	390	8	university	university	PROPN
ejpam-6381	390	9	-	-	PUNCT
ejpam-6381	390	10	jordan	jordan	PROPN
ejpam-6381	390	11	.	.	PUNCT
ejpam-6381	391	1	conflicts	conflict	NOUN
ejpam-6381	391	2	of	of	ADP
ejpam-6381	391	3	interest	interest	NOUN
ejpam-6381	391	4	:	:	PUNCT
ejpam-6381	391	5	the	the	DET
ejpam-6381	391	6	authors	author	NOUN
ejpam-6381	391	7	declare	declare	VERB
ejpam-6381	391	8	that	that	SCONJ
ejpam-6381	391	9	they	they	PRON
ejpam-6381	391	10	have	have	VERB
ejpam-6381	391	11	no	no	DET
ejpam-6381	391	12	conflict	conflict	NOUN
ejpam-6381	391	13	of	of	ADP
ejpam-6381	391	14	interest	interest	NOUN
ejpam-6381	391	15	.	.	PUNCT
ejpam-6381	392	1	references	reference	NOUN
ejpam-6381	392	2	[	[	X
ejpam-6381	392	3	1	1	X
ejpam-6381	392	4	]	]	PUNCT
ejpam-6381	392	5	yong	yong	PROPN
ejpam-6381	392	6	zhang	zhang	PROPN
ejpam-6381	392	7	et	et	PROPN
ejpam-6381	392	8	al	al	PROPN
ejpam-6381	392	9	.	.	PUNCT
ejpam-6381	393	1	a	a	DET
ejpam-6381	393	2	review	review	NOUN
ejpam-6381	393	3	of	of	ADP
ejpam-6381	393	4	applications	application	NOUN
ejpam-6381	393	5	of	of	ADP
ejpam-6381	393	6	fractional	fractional	ADJ
ejpam-6381	393	7	calculus	calculus	NOUN
ejpam-6381	393	8	in	in	ADP
ejpam-6381	393	9	earth	earth	NOUN
ejpam-6381	393	10	system	system	NOUN
ejpam-6381	393	11	dynamics	dynamic	NOUN
ejpam-6381	393	12	.	.	PUNCT
ejpam-6381	394	1	chaos	chaos	NOUN
ejpam-6381	394	2	,	,	PUNCT
ejpam-6381	394	3	solitons	soliton	NOUN
ejpam-6381	394	4	&	&	CCONJ
ejpam-6381	394	5	fractals	fractal	NOUN
ejpam-6381	394	6	,	,	PUNCT
ejpam-6381	394	7	102:29–46	102:29–46	NUM
ejpam-6381	394	8	,	,	PUNCT
ejpam-6381	394	9	2017	2017	NUM
ejpam-6381	394	10	.	.	PUNCT
ejpam-6381	395	1	[	[	X
ejpam-6381	395	2	2	2	NUM
ejpam-6381	395	3	]	]	X
ejpam-6381	395	4	yuriy	yuriy	PROPN
ejpam-6381	395	5	a.	a.	PROPN
ejpam-6381	395	6	rossikhin	rossikhin	PROPN
ejpam-6381	395	7	and	and	CCONJ
ejpam-6381	395	8	marina	marina	PROPN
ejpam-6381	395	9	v.	v.	PROPN
ejpam-6381	395	10	shitikova	shitikova	PROPN
ejpam-6381	395	11	.	.	PUNCT
ejpam-6381	396	1	application	application	NOUN
ejpam-6381	396	2	of	of	ADP
ejpam-6381	396	3	fractional	fractional	ADJ
ejpam-6381	396	4	calculus	calculus	NOUN
ejpam-6381	396	5	for	for	ADP
ejpam-6381	396	6	dynamic	dynamic	ADJ
ejpam-6381	396	7	problems	problem	NOUN
ejpam-6381	396	8	of	of	ADP
ejpam-6381	396	9	solid	solid	ADJ
ejpam-6381	396	10	mechanics	mechanic	NOUN
ejpam-6381	396	11	:	:	PUNCT
ejpam-6381	396	12	novel	novel	ADJ
ejpam-6381	396	13	trends	trend	NOUN
ejpam-6381	396	14	and	and	CCONJ
ejpam-6381	396	15	recent	recent	ADJ
ejpam-6381	396	16	results	result	NOUN
ejpam-6381	396	17	.	.	PUNCT
ejpam-6381	397	1	applied	apply	VERB
ejpam-6381	397	2	mechanics	mechanic	NOUN
ejpam-6381	397	3	reviews	review	NOUN
ejpam-6381	397	4	,	,	PUNCT
ejpam-6381	397	5	page	page	NOUN
ejpam-6381	397	6	010801	010801	NUM
ejpam-6381	397	7	,	,	PUNCT
ejpam-6381	397	8	2010	2010	NUM
ejpam-6381	397	9	.	.	PUNCT
ejpam-6381	398	1	[	[	X
ejpam-6381	398	2	3	3	NUM
ejpam-6381	398	3	]	]	X
ejpam-6381	398	4	ivo	ivo	PROPN
ejpam-6381	398	5	petras	petras	PROPN
ejpam-6381	398	6	.	.	PUNCT
ejpam-6381	398	7	fractional	fractional	ADJ
ejpam-6381	398	8	calculus	calculus	NOUN
ejpam-6381	398	9	and	and	CCONJ
ejpam-6381	398	10	its	its	PRON
ejpam-6381	398	11	applications	application	NOUN
ejpam-6381	398	12	.	.	PUNCT
ejpam-6381	399	1	mathematical	mathematical	ADJ
ejpam-6381	399	2	modeling	modeling	NOUN
ejpam-6381	399	3	with	with	ADP
ejpam-6381	399	4	multidisciplinary	multidisciplinary	ADJ
ejpam-6381	399	5	applications	application	NOUN
ejpam-6381	399	6	,	,	PUNCT
ejpam-6381	399	7	pages	page	NOUN
ejpam-6381	399	8	355–396	355–396	NUM
ejpam-6381	399	9	,	,	PUNCT
ejpam-6381	399	10	2012	2012	NUM
ejpam-6381	399	11	.	.	PUNCT
ejpam-6381	400	1	i.kadri	i.kadri	PROPN
ejpam-6381	400	2	et	et	PROPN
ejpam-6381	400	3	al	al	PROPN
ejpam-6381	400	4	.	.	PUNCT
ejpam-6381	400	5	/	/	SYM
ejpam-6381	400	6	eur	eur	PROPN
ejpam-6381	400	7	.	.	PUNCT
ejpam-6381	401	1	j.	j.	PROPN
ejpam-6381	401	2	pure	pure	PROPN
ejpam-6381	401	3	appl	appl	PROPN
ejpam-6381	401	4	.	.	PROPN
ejpam-6381	401	5	math	math	PROPN
ejpam-6381	401	6	,	,	PUNCT
ejpam-6381	401	7	18	18	NUM
ejpam-6381	401	8	(	(	PUNCT
ejpam-6381	401	9	3	3	NUM
ejpam-6381	401	10	)	)	PUNCT
ejpam-6381	401	11	(	(	PUNCT
ejpam-6381	401	12	2025	2025	NUM
ejpam-6381	401	13	)	)	PUNCT
ejpam-6381	401	14	,	,	PUNCT
ejpam-6381	401	15	6381	6381	NUM
ejpam-6381	401	16	16	16	NUM
ejpam-6381	401	17	of	of	ADP
ejpam-6381	401	18	19	19	NUM
ejpam-6381	401	19	[	[	SYM
ejpam-6381	401	20	4	4	NUM
ejpam-6381	401	21	]	]	X
ejpam-6381	401	22	vasily	vasily	PROPN
ejpam-6381	401	23	e.	e.	PROPN
ejpam-6381	401	24	tarasov	tarasov	PROPN
ejpam-6381	401	25	.	.	PUNCT
ejpam-6381	402	1	on	on	ADP
ejpam-6381	402	2	history	history	NOUN
ejpam-6381	402	3	of	of	ADP
ejpam-6381	402	4	mathematical	mathematical	ADJ
ejpam-6381	402	5	economics	economic	NOUN
ejpam-6381	402	6	:	:	PUNCT
ejpam-6381	402	7	application	application	NOUN
ejpam-6381	402	8	of	of	ADP
ejpam-6381	402	9	fractional	fractional	ADJ
ejpam-6381	402	10	calculus	calculus	NOUN
ejpam-6381	402	11	.	.	PUNCT
ejpam-6381	403	1	mathematics	mathematic	NOUN
ejpam-6381	403	2	,	,	PUNCT
ejpam-6381	403	3	7(6):509	7(6):509	NUM
ejpam-6381	403	4	,	,	PUNCT
ejpam-6381	403	5	2019	2019	NUM
ejpam-6381	403	6	.	.	PUNCT
ejpam-6381	404	1	[	[	X
ejpam-6381	404	2	5	5	NUM
ejpam-6381	404	3	]	]	PUNCT
ejpam-6381	404	4	faeza	faeza	PROPN
ejpam-6381	404	5	hasan	hasan	PROPN
ejpam-6381	404	6	et	et	PROPN
ejpam-6381	404	7	al	al	PROPN
ejpam-6381	404	8	.	.	PUNCT
ejpam-6381	405	1	a	a	DET
ejpam-6381	405	2	new	new	ADJ
ejpam-6381	405	3	perspective	perspective	NOUN
ejpam-6381	405	4	on	on	ADP
ejpam-6381	405	5	the	the	DET
ejpam-6381	405	6	stochastic	stochastic	ADJ
ejpam-6381	405	7	fractional	fractional	ADJ
ejpam-6381	405	8	order	order	NOUN
ejpam-6381	405	9	materialized	materialize	VERB
ejpam-6381	405	10	by	by	ADP
ejpam-6381	405	11	the	the	DET
ejpam-6381	405	12	exact	exact	ADJ
ejpam-6381	405	13	solutions	solution	NOUN
ejpam-6381	405	14	of	of	ADP
ejpam-6381	405	15	allen	allen	ADJ
ejpam-6381	405	16	-	-	PUNCT
ejpam-6381	405	17	cahn	cahn	NOUN
ejpam-6381	405	18	equation	equation	NOUN
ejpam-6381	405	19	.	.	PUNCT
ejpam-6381	406	1	international	international	ADJ
ejpam-6381	406	2	journal	journal	PROPN
ejpam-6381	406	3	of	of	ADP
ejpam-6381	406	4	mathematical	mathematical	ADJ
ejpam-6381	406	5	,	,	PUNCT
ejpam-6381	406	6	engineering	engineering	NOUN
ejpam-6381	406	7	and	and	CCONJ
ejpam-6381	406	8	management	management	NOUN
ejpam-6381	406	9	sciences	science	NOUN
ejpam-6381	406	10	,	,	PUNCT
ejpam-6381	406	11	8(5):912	8(5):912	NUM
ejpam-6381	406	12	,	,	PUNCT
ejpam-6381	406	13	2023	2023	NUM
ejpam-6381	406	14	.	.	PUNCT
ejpam-6381	407	1	[	[	X
ejpam-6381	407	2	6	6	X
ejpam-6381	407	3	]	]	PUNCT
ejpam-6381	407	4	sana	sana	PROPN
ejpam-6381	407	5	abdulkream	abdulkream	PROPN
ejpam-6381	407	6	,	,	PUNCT
ejpam-6381	407	7	alharbi	alharbi	PROPN
ejpam-6381	407	8	et	et	PROPN
ejpam-6381	407	9	al	al	PROPN
ejpam-6381	407	10	.	.	PROPN
ejpam-6381	408	1	modeling	modeling	NOUN
ejpam-6381	408	2	and	and	CCONJ
ejpam-6381	408	3	analysis	analysis	NOUN
ejpam-6381	408	4	of	of	ADP
ejpam-6381	408	5	visceral	visceral	ADJ
ejpam-6381	408	6	leishmaniasis	leishmaniasis	NOUN
ejpam-6381	408	7	dynamics	dynamic	NOUN
ejpam-6381	408	8	using	use	VERB
ejpam-6381	408	9	fractional	fractional	ADJ
ejpam-6381	408	10	-	-	PUNCT
ejpam-6381	408	11	order	order	NOUN
ejpam-6381	408	12	operators	operator	NOUN
ejpam-6381	408	13	:	:	PUNCT
ejpam-6381	408	14	a	a	DET
ejpam-6381	408	15	comparative	comparative	ADJ
ejpam-6381	408	16	study	study	NOUN
ejpam-6381	408	17	.	.	PUNCT
ejpam-6381	409	1	mathematical	mathematical	ADJ
ejpam-6381	409	2	methods	method	NOUN
ejpam-6381	409	3	in	in	ADP
ejpam-6381	409	4	the	the	DET
ejpam-6381	409	5	applied	apply	VERB
ejpam-6381	409	6	sciences	science	NOUN
ejpam-6381	409	7	,	,	PUNCT
ejpam-6381	409	8	47(12):9918–9937	47(12):9918–9937	NUM
ejpam-6381	409	9	,	,	PUNCT
ejpam-6381	409	10	2024	2024	NUM
ejpam-6381	409	11	.	.	PUNCT
ejpam-6381	410	1	[	[	X
ejpam-6381	410	2	7	7	X
ejpam-6381	410	3	]	]	X
ejpam-6381	410	4	rania	rania	PROPN
ejpam-6381	410	5	saadeh	saadeh	PROPN
ejpam-6381	410	6	et	et	PROPN
ejpam-6381	410	7	al	al	PROPN
ejpam-6381	410	8	.	.	PROPN
ejpam-6381	410	9	mathematical	mathematical	ADJ
ejpam-6381	410	10	modeling	modeling	NOUN
ejpam-6381	410	11	and	and	CCONJ
ejpam-6381	410	12	stability	stability	NOUN
ejpam-6381	410	13	analysis	analysis	NOUN
ejpam-6381	410	14	of	of	ADP
ejpam-6381	410	15	the	the	DET
ejpam-6381	410	16	novel	novel	ADJ
ejpam-6381	410	17	fractional	fractional	ADJ
ejpam-6381	410	18	model	model	NOUN
ejpam-6381	410	19	in	in	ADP
ejpam-6381	410	20	the	the	DET
ejpam-6381	410	21	caputo	caputo	PROPN
ejpam-6381	410	22	derivative	derivative	ADJ
ejpam-6381	410	23	operator	operator	NOUN
ejpam-6381	410	24	:	:	PUNCT
ejpam-6381	410	25	a	a	DET
ejpam-6381	410	26	case	case	NOUN
ejpam-6381	410	27	study	study	NOUN
ejpam-6381	410	28	.	.	PUNCT
ejpam-6381	411	1	heliyon	heliyon	NOUN
ejpam-6381	411	2	,	,	PUNCT
ejpam-6381	411	3	10(5	10(5	NUM
ejpam-6381	411	4	)	)	PUNCT
ejpam-6381	411	5	,	,	PUNCT
ejpam-6381	411	6	2024	2024	NUM
ejpam-6381	411	7	.	.	PUNCT
ejpam-6381	412	1	[	[	X
ejpam-6381	412	2	8	8	NUM
ejpam-6381	412	3	]	]	PUNCT
ejpam-6381	412	4	faeza	faeza	PROPN
ejpam-6381	412	5	lafta	lafta	PROPN
ejpam-6381	412	6	hasan	hasan	PROPN
ejpam-6381	412	7	et	et	PROPN
ejpam-6381	412	8	al	al	PROPN
ejpam-6381	412	9	.	.	PUNCT
ejpam-6381	412	10	exploring	explore	VERB
ejpam-6381	412	11	analytical	analytical	ADJ
ejpam-6381	412	12	results	result	NOUN
ejpam-6381	412	13	for	for	ADP
ejpam-6381	412	14	(	(	PUNCT
ejpam-6381	412	15	2	2	NUM
ejpam-6381	412	16	+	+	NOUN
ejpam-6381	412	17	1	1	NUM
ejpam-6381	412	18	)	)	PUNCT
ejpam-6381	412	19	dimensional	dimensional	ADJ
ejpam-6381	412	20	breaking	break	VERB
ejpam-6381	412	21	soliton	soliton	NOUN
ejpam-6381	412	22	equation	equation	NOUN
ejpam-6381	412	23	and	and	CCONJ
ejpam-6381	412	24	stochastic	stochastic	ADJ
ejpam-6381	412	25	fractional	fractional	ADJ
ejpam-6381	412	26	broer	broer	NOUN
ejpam-6381	412	27	-	-	PUNCT
ejpam-6381	412	28	kaup	kaup	PROPN
ejpam-6381	412	29	system	system	NOUN
ejpam-6381	412	30	.	.	PUNCT
ejpam-6381	413	1	aims	aim	VERB
ejpam-6381	413	2	mathematics	mathematic	NOUN
ejpam-6381	413	3	,	,	PUNCT
ejpam-6381	413	4	9(5):11622–11643	9(5):11622–11643	PROPN
ejpam-6381	413	5	,	,	PUNCT
ejpam-6381	413	6	2024	2024	NUM
ejpam-6381	413	7	.	.	PUNCT
ejpam-6381	414	1	[	[	X
ejpam-6381	414	2	9	9	NUM
ejpam-6381	414	3	]	]	X
ejpam-6381	414	4	dalal	dalal	PROPN
ejpam-6381	414	5	khalid	khalid	PROPN
ejpam-6381	414	6	almutairi	almutairi	PROPN
ejpam-6381	414	7	et	et	PROPN
ejpam-6381	414	8	al	al	PROPN
ejpam-6381	414	9	.	.	PUNCT
ejpam-6381	415	1	a	a	DET
ejpam-6381	415	2	numerical	numerical	ADJ
ejpam-6381	415	3	confirmation	confirmation	NOUN
ejpam-6381	415	4	of	of	ADP
ejpam-6381	415	5	a	a	DET
ejpam-6381	415	6	fractional	fractional	ADJ
ejpam-6381	415	7	seitr	seitr	NOUN
ejpam-6381	415	8	for	for	ADP
ejpam-6381	415	9	influenza	influenza	NOUN
ejpam-6381	415	10	model	model	NOUN
ejpam-6381	415	11	efficiency	efficiency	NOUN
ejpam-6381	415	12	.	.	PUNCT
ejpam-6381	416	1	applied	apply	VERB
ejpam-6381	416	2	mathematics	mathematic	NOUN
ejpam-6381	416	3	,	,	PUNCT
ejpam-6381	416	4	17(5):741–749	17(5):741–749	NUM
ejpam-6381	416	5	,	,	PUNCT
ejpam-6381	416	6	2023	2023	NUM
ejpam-6381	416	7	.	.	PUNCT
ejpam-6381	417	1	[	[	X
ejpam-6381	417	2	10	10	NUM
ejpam-6381	417	3	]	]	X
ejpam-6381	417	4	mohamed	mohamed	PROPN
ejpam-6381	417	5	a.	a.	PROPN
ejpam-6381	417	6	abdoon	abdoon	PROPN
ejpam-6381	417	7	and	and	CCONJ
ejpam-6381	417	8	abdulrahman	abdulrahman	PROPN
ejpam-6381	417	9	b.	b.	PROPN
ejpam-6381	417	10	m.	m.	PROPN
ejpam-6381	417	11	alzahrani	alzahrani	PROPN
ejpam-6381	417	12	.	.	PUNCT
ejpam-6381	418	1	comparative	comparative	ADJ
ejpam-6381	418	2	analysis	analysis	NOUN
ejpam-6381	418	3	of	of	ADP
ejpam-6381	418	4	influenza	influenza	NOUN
ejpam-6381	418	5	modeling	modeling	NOUN
ejpam-6381	418	6	using	use	VERB
ejpam-6381	418	7	novel	novel	ADJ
ejpam-6381	418	8	fractional	fractional	ADJ
ejpam-6381	418	9	operators	operator	NOUN
ejpam-6381	418	10	with	with	ADP
ejpam-6381	418	11	real	real	ADJ
ejpam-6381	418	12	data	datum	NOUN
ejpam-6381	418	13	.	.	PUNCT
ejpam-6381	419	1	symmetry	symmetry	NOUN
ejpam-6381	419	2	,	,	PUNCT
ejpam-6381	419	3	16(9):1126	16(9):1126	NUM
ejpam-6381	419	4	,	,	PUNCT
ejpam-6381	419	5	2024	2024	NUM
ejpam-6381	419	6	.	.	PUNCT
ejpam-6381	420	1	[	[	X
ejpam-6381	420	2	11	11	NUM
ejpam-6381	420	3	]	]	X
ejpam-6381	420	4	e.	e.	PROPN
ejpam-6381	420	5	nahaa	nahaa	PROPN
ejpam-6381	420	6	alsubaie	alsubaie	PROPN
ejpam-6381	420	7	et	et	PROPN
ejpam-6381	420	8	al	al	PROPN
ejpam-6381	420	9	.	.	PUNCT
ejpam-6381	421	1	improving	improve	VERB
ejpam-6381	421	2	influenza	influenza	ADJ
ejpam-6381	421	3	epidemiological	epidemiological	ADJ
ejpam-6381	421	4	models	model	NOUN
ejpam-6381	421	5	under	under	ADP
ejpam-6381	421	6	caputo	caputo	PROPN
ejpam-6381	421	7	fractional	fractional	ADJ
ejpam-6381	421	8	-	-	PUNCT
ejpam-6381	421	9	order	order	NOUN
ejpam-6381	421	10	calculus	calculus	NOUN
ejpam-6381	421	11	.	.	PUNCT
ejpam-6381	421	12	symmetry	symmetry	NOUN
ejpam-6381	421	13	,	,	PUNCT
ejpam-6381	421	14	16(7):929	16(7):929	NOUN
ejpam-6381	421	15	,	,	PUNCT
ejpam-6381	421	16	2024	2024	NUM
ejpam-6381	421	17	.	.	PUNCT
ejpam-6381	422	1	[	[	X
ejpam-6381	422	2	12	12	NUM
ejpam-6381	422	3	]	]	X
ejpam-6381	422	4	dalal	dalal	PROPN
ejpam-6381	422	5	khalid	khalid	PROPN
ejpam-6381	422	6	almutairi	almutairi	PROPN
ejpam-6381	422	7	et	et	PROPN
ejpam-6381	422	8	al	al	PROPN
ejpam-6381	422	9	.	.	PROPN
ejpam-6381	422	10	modeling	modeling	NOUN
ejpam-6381	422	11	and	and	CCONJ
ejpam-6381	422	12	analysis	analysis	NOUN
ejpam-6381	422	13	of	of	ADP
ejpam-6381	422	14	a	a	DET
ejpam-6381	422	15	fractional	fractional	ADJ
ejpam-6381	422	16	visceral	visceral	ADJ
ejpam-6381	422	17	leishmaniosis	leishmaniosis	NOUN
ejpam-6381	422	18	with	with	ADP
ejpam-6381	422	19	caputo	caputo	PROPN
ejpam-6381	422	20	and	and	CCONJ
ejpam-6381	422	21	caputo	caputo	PROPN
ejpam-6381	422	22	-	-	PUNCT
ejpam-6381	422	23	fabrizio	fabrizio	PROPN
ejpam-6381	422	24	derivatives	derivative	NOUN
ejpam-6381	422	25	.	.	PUNCT
ejpam-6381	423	1	journal	journal	NOUN
ejpam-6381	423	2	of	of	ADP
ejpam-6381	423	3	the	the	DET
ejpam-6381	423	4	nigerian	nigerian	ADJ
ejpam-6381	423	5	society	society	NOUN
ejpam-6381	423	6	of	of	ADP
ejpam-6381	423	7	physical	physical	ADJ
ejpam-6381	423	8	sciences	science	NOUN
ejpam-6381	423	9	,	,	PUNCT
ejpam-6381	423	10	pages	page	NOUN
ejpam-6381	423	11	1453–1453	1453–1453	NUM
ejpam-6381	423	12	,	,	PUNCT
ejpam-6381	423	13	2023	2023	NUM
ejpam-6381	423	14	.	.	PUNCT
ejpam-6381	424	1	[	[	X
ejpam-6381	424	2	13	13	NUM
ejpam-6381	424	3	]	]	PUNCT
ejpam-6381	424	4	mohamed	mohamed	PROPN
ejpam-6381	424	5	elbadri	elbadri	PROPN
ejpam-6381	424	6	et	et	PROPN
ejpam-6381	424	7	al	al	PROPN
ejpam-6381	424	8	.	.	PUNCT
ejpam-6381	425	1	a	a	DET
ejpam-6381	425	2	numerical	numerical	ADJ
ejpam-6381	425	3	solution	solution	NOUN
ejpam-6381	425	4	and	and	CCONJ
ejpam-6381	425	5	comparative	comparative	ADJ
ejpam-6381	425	6	study	study	NOUN
ejpam-6381	425	7	of	of	ADP
ejpam-6381	425	8	the	the	DET
ejpam-6381	425	9	symmetric	symmetric	ADJ
ejpam-6381	425	10	rossler	rossler	NOUN
ejpam-6381	425	11	attractor	attractor	NOUN
ejpam-6381	425	12	with	with	ADP
ejpam-6381	425	13	the	the	DET
ejpam-6381	425	14	generalized	generalize	VERB
ejpam-6381	425	15	caputo	caputo	PROPN
ejpam-6381	425	16	fractional	fractional	PROPN
ejpam-6381	425	17	derivative	derivative	NOUN
ejpam-6381	425	18	via	via	ADP
ejpam-6381	425	19	two	two	NUM
ejpam-6381	425	20	different	different	ADJ
ejpam-6381	425	21	methods	method	NOUN
ejpam-6381	425	22	.	.	PUNCT
ejpam-6381	426	1	mathematics	mathematic	NOUN
ejpam-6381	426	2	,	,	PUNCT
ejpam-6381	426	3	11(13):2997	11(13):2997	NUM
ejpam-6381	426	4	,	,	PUNCT
ejpam-6381	426	5	2023	2023	NUM
ejpam-6381	426	6	.	.	PUNCT
ejpam-6381	427	1	[	[	X
ejpam-6381	427	2	14	14	NUM
ejpam-6381	427	3	]	]	PUNCT
ejpam-6381	427	4	sérgio	sérgio	PROPN
ejpam-6381	427	5	adriani	adriani	PROPN
ejpam-6381	427	6	david	david	PROPN
ejpam-6381	427	7	,	,	PUNCT
ejpam-6381	427	8	juan	juan	PROPN
ejpam-6381	427	9	lopez	lopez	PROPN
ejpam-6381	427	10	linares	linare	NOUN
ejpam-6381	427	11	,	,	PUNCT
ejpam-6381	427	12	and	and	CCONJ
ejpam-6381	427	13	eliria	eliria	PROPN
ejpam-6381	427	14	maria	maria	PROPN
ejpam-6381	427	15	de	de	PROPN
ejpam-6381	427	16	jesus	jesus	PROPN
ejpam-6381	427	17	agnolon	agnolon	PROPN
ejpam-6381	427	18	pallone	pallone	PROPN
ejpam-6381	427	19	.	.	PUNCT
ejpam-6381	427	20	fractional	fractional	ADJ
ejpam-6381	427	21	order	order	NOUN
ejpam-6381	427	22	calculus	calculus	NOUN
ejpam-6381	427	23	:	:	PUNCT
ejpam-6381	427	24	historical	historical	ADJ
ejpam-6381	427	25	apologia	apologia	ADJ
ejpam-6381	427	26	,	,	PUNCT
ejpam-6381	427	27	basic	basic	ADJ
ejpam-6381	427	28	concepts	concept	NOUN
ejpam-6381	427	29	and	and	CCONJ
ejpam-6381	427	30	some	some	DET
ejpam-6381	427	31	applications	application	NOUN
ejpam-6381	427	32	.	.	PUNCT
ejpam-6381	428	1	revista	revista	PROPN
ejpam-6381	428	2	brasileira	brasileira	PROPN
ejpam-6381	428	3	de	de	PROPN
ejpam-6381	428	4	ensino	ensino	PROPN
ejpam-6381	428	5	de	de	PROPN
ejpam-6381	428	6	f́ısica	f́ısica	PROPN
ejpam-6381	428	7	,	,	PUNCT
ejpam-6381	428	8	33:4302–4302	33:4302–4302	NUM
ejpam-6381	428	9	,	,	PUNCT
ejpam-6381	428	10	2011	2011	NUM
ejpam-6381	428	11	.	.	PUNCT
ejpam-6381	429	1	[	[	X
ejpam-6381	429	2	15	15	NUM
ejpam-6381	429	3	]	]	X
ejpam-6381	429	4	abdon	abdon	NOUN
ejpam-6381	429	5	atangana	atangana	PROPN
ejpam-6381	429	6	and	and	CCONJ
ejpam-6381	429	7	j.	j.	PROPN
ejpam-6381	429	8	f.	f.	PROPN
ejpam-6381	429	9	gómez	gómez	PROPN
ejpam-6381	429	10	-	-	PUNCT
ejpam-6381	429	11	aguilar	aguilar	PROPN
ejpam-6381	429	12	.	.	PUNCT
ejpam-6381	430	1	numerical	numerical	PROPN
ejpam-6381	430	2	approximation	approximation	NOUN
ejpam-6381	430	3	of	of	ADP
ejpam-6381	430	4	riemannliouville	riemannliouville	NOUN
ejpam-6381	430	5	definition	definition	NOUN
ejpam-6381	430	6	of	of	ADP
ejpam-6381	430	7	fractional	fractional	ADJ
ejpam-6381	430	8	derivative	derivative	NOUN
ejpam-6381	430	9	:	:	PUNCT
ejpam-6381	430	10	from	from	ADP
ejpam-6381	430	11	riemann	riemann	PROPN
ejpam-6381	430	12	-	-	PUNCT
ejpam-6381	430	13	liouville	liouville	NOUN
ejpam-6381	430	14	to	to	PART
ejpam-6381	430	15	atanganabaleanu	atanganabaleanu	VERB
ejpam-6381	430	16	.	.	PUNCT
ejpam-6381	431	1	numerical	numerical	ADJ
ejpam-6381	431	2	methods	method	NOUN
ejpam-6381	431	3	for	for	ADP
ejpam-6381	431	4	partial	partial	ADJ
ejpam-6381	431	5	differential	differential	NOUN
ejpam-6381	431	6	equations	equation	NOUN
ejpam-6381	431	7	,	,	PUNCT
ejpam-6381	431	8	34(5):1502–1523	34(5):1502–1523	NUM
ejpam-6381	431	9	,	,	PUNCT
ejpam-6381	431	10	2018	2018	NUM
ejpam-6381	431	11	.	.	PUNCT
ejpam-6381	432	1	[	[	X
ejpam-6381	432	2	16	16	NUM
ejpam-6381	432	3	]	]	X
ejpam-6381	432	4	obaid	obaid	PROPN
ejpam-6381	432	5	jefain	jefain	VERB
ejpam-6381	432	6	julaighim	julaighim	PROPN
ejpam-6381	432	7	algahtani	algahtani	ADJ
ejpam-6381	432	8	.	.	PUNCT
ejpam-6381	433	1	comparing	compare	VERB
ejpam-6381	433	2	the	the	DET
ejpam-6381	433	3	atangana	atangana	PROPN
ejpam-6381	433	4	-	-	PUNCT
ejpam-6381	433	5	baleanu	baleanu	PROPN
ejpam-6381	433	6	and	and	CCONJ
ejpam-6381	433	7	caputofabrizio	caputofabrizio	NOUN
ejpam-6381	433	8	derivative	derivative	ADJ
ejpam-6381	433	9	with	with	ADP
ejpam-6381	433	10	fractional	fractional	ADJ
ejpam-6381	433	11	order	order	NOUN
ejpam-6381	433	12	:	:	PUNCT
ejpam-6381	433	13	allen	allen	PROPN
ejpam-6381	433	14	cahn	cahn	PROPN
ejpam-6381	433	15	model	model	PROPN
ejpam-6381	433	16	.	.	PUNCT
ejpam-6381	434	1	chaos	chaos	NOUN
ejpam-6381	434	2	,	,	PUNCT
ejpam-6381	434	3	solitons	soliton	NOUN
ejpam-6381	434	4	&	&	CCONJ
ejpam-6381	434	5	fractals	fractal	NOUN
ejpam-6381	434	6	,	,	PUNCT
ejpam-6381	434	7	89:552–559	89:552–559	NUM
ejpam-6381	434	8	,	,	PUNCT
ejpam-6381	434	9	2016	2016	NUM
ejpam-6381	434	10	.	.	PUNCT
ejpam-6381	435	1	[	[	X
ejpam-6381	435	2	17	17	NUM
ejpam-6381	435	3	]	]	X
ejpam-6381	435	4	nadeem	nadeem	PROPN
ejpam-6381	435	5	ahmad	ahmad	PROPN
ejpam-6381	435	6	sheikh	sheikh	PROPN
ejpam-6381	435	7	et	et	PROPN
ejpam-6381	435	8	al	al	PROPN
ejpam-6381	435	9	.	.	PUNCT
ejpam-6381	436	1	a	a	DET
ejpam-6381	436	2	comparative	comparative	ADJ
ejpam-6381	436	3	study	study	NOUN
ejpam-6381	436	4	of	of	ADP
ejpam-6381	436	5	atangana	atangana	PROPN
ejpam-6381	436	6	-	-	PUNCT
ejpam-6381	436	7	baleanu	baleanu	PROPN
ejpam-6381	436	8	and	and	CCONJ
ejpam-6381	436	9	caputofabrizio	caputofabrizio	VERB
ejpam-6381	436	10	fractional	fractional	ADJ
ejpam-6381	436	11	derivatives	derivative	NOUN
ejpam-6381	436	12	to	to	ADP
ejpam-6381	436	13	the	the	DET
ejpam-6381	436	14	convective	convective	ADJ
ejpam-6381	436	15	flow	flow	NOUN
ejpam-6381	436	16	of	of	ADP
ejpam-6381	436	17	a	a	DET
ejpam-6381	436	18	generalized	generalized	ADJ
ejpam-6381	436	19	casson	casson	NOUN
ejpam-6381	436	20	fluid	fluid	NOUN
ejpam-6381	436	21	.	.	PUNCT
ejpam-6381	437	1	the	the	DET
ejpam-6381	437	2	european	european	PROPN
ejpam-6381	437	3	physical	physical	PROPN
ejpam-6381	437	4	journal	journal	PROPN
ejpam-6381	437	5	plus	plus	CCONJ
ejpam-6381	437	6	,	,	PUNCT
ejpam-6381	437	7	132:1–14	132:1–14	NUM
ejpam-6381	437	8	,	,	PUNCT
ejpam-6381	437	9	2017	2017	NUM
ejpam-6381	437	10	.	.	PUNCT
ejpam-6381	438	1	[	[	X
ejpam-6381	438	2	18	18	NUM
ejpam-6381	438	3	]	]	X
ejpam-6381	438	4	adil	adil	PROPN
ejpam-6381	438	5	khurshaid	khurshaid	VERB
ejpam-6381	438	6	and	and	CCONJ
ejpam-6381	438	7	hajra	hajra	PROPN
ejpam-6381	438	8	khurshaid	khurshaid	VERB
ejpam-6381	438	9	.	.	PUNCT
ejpam-6381	439	1	comparative	comparative	ADJ
ejpam-6381	439	2	analysis	analysis	NOUN
ejpam-6381	439	3	and	and	CCONJ
ejpam-6381	439	4	definitions	definition	NOUN
ejpam-6381	439	5	of	of	ADP
ejpam-6381	439	6	fractional	fractional	ADJ
ejpam-6381	439	7	derivatives	derivative	NOUN
ejpam-6381	439	8	.	.	PUNCT
ejpam-6381	440	1	journal	journal	PROPN
ejpam-6381	440	2	issn	issn	PROPN
ejpam-6381	440	3	,	,	PUNCT
ejpam-6381	440	4	2766:2276	2766:2276	NUM
ejpam-6381	440	5	,	,	PUNCT
ejpam-6381	440	6	2023	2023	NUM
ejpam-6381	440	7	.	.	PUNCT
ejpam-6381	441	1	[	[	X
ejpam-6381	441	2	19	19	NUM
ejpam-6381	441	3	]	]	PUNCT
ejpam-6381	441	4	a.	a.	NOUN
ejpam-6381	441	5	chavada	chavada	PROPN
ejpam-6381	441	6	and	and	CCONJ
ejpam-6381	441	7	n.	n.	PROPN
ejpam-6381	441	8	pathak	pathak	PROPN
ejpam-6381	441	9	.	.	PUNCT
ejpam-6381	442	1	transmission	transmission	NOUN
ejpam-6381	442	2	dynamics	dynamic	NOUN
ejpam-6381	442	3	of	of	ADP
ejpam-6381	442	4	breast	breast	NOUN
ejpam-6381	442	5	cancer	cancer	NOUN
ejpam-6381	442	6	through	through	ADP
ejpam-6381	442	7	caputo	caputo	PROPN
ejpam-6381	442	8	fabrizio	fabrizio	PROPN
ejpam-6381	442	9	fractional	fractional	PROPN
ejpam-6381	442	10	derivative	derivative	ADJ
ejpam-6381	442	11	operator	operator	NOUN
ejpam-6381	442	12	.	.	PUNCT
ejpam-6381	443	1	mathematical	mathematical	ADJ
ejpam-6381	443	2	modelling	modelling	NOUN
ejpam-6381	443	3	and	and	CCONJ
ejpam-6381	443	4	control	control	NOUN
ejpam-6381	443	5	,	,	PUNCT
ejpam-6381	443	6	4:119	4:119	NUM
ejpam-6381	443	7	–	–	PUNCT
ejpam-6381	443	8	i.kadri	i.kadri	X
ejpam-6381	443	9	et	et	PROPN
ejpam-6381	443	10	al	al	PROPN
ejpam-6381	443	11	.	.	PUNCT
ejpam-6381	443	12	/	/	SYM
ejpam-6381	443	13	eur	eur	PROPN
ejpam-6381	443	14	.	.	PUNCT
ejpam-6381	444	1	j.	j.	PROPN
ejpam-6381	444	2	pure	pure	PROPN
ejpam-6381	444	3	appl	appl	PROPN
ejpam-6381	444	4	.	.	PROPN
ejpam-6381	444	5	math	math	PROPN
ejpam-6381	444	6	,	,	PUNCT
ejpam-6381	444	7	18	18	NUM
ejpam-6381	444	8	(	(	PUNCT
ejpam-6381	444	9	3	3	NUM
ejpam-6381	444	10	)	)	PUNCT
ejpam-6381	444	11	(	(	PUNCT
ejpam-6381	444	12	2025	2025	NUM
ejpam-6381	444	13	)	)	PUNCT
ejpam-6381	444	14	,	,	PUNCT
ejpam-6381	444	15	6381	6381	NUM
ejpam-6381	444	16	17	17	NUM
ejpam-6381	444	17	of	of	ADP
ejpam-6381	444	18	19	19	NUM
ejpam-6381	444	19	132	132	NUM
ejpam-6381	444	20	,	,	PUNCT
ejpam-6381	444	21	2024	2024	NUM
ejpam-6381	444	22	.	.	PUNCT
ejpam-6381	445	1	[	[	X
ejpam-6381	445	2	20	20	NUM
ejpam-6381	445	3	]	]	PUNCT
ejpam-6381	445	4	abdon	abdon	NOUN
ejpam-6381	445	5	atangana	atangana	PROPN
ejpam-6381	445	6	and	and	CCONJ
ejpam-6381	445	7	kolade	kolade	ADJ
ejpam-6381	445	8	m.	m.	NOUN
ejpam-6381	445	9	owolabi	owolabi	NOUN
ejpam-6381	445	10	.	.	PUNCT
ejpam-6381	446	1	new	new	ADJ
ejpam-6381	446	2	numerical	numerical	ADJ
ejpam-6381	446	3	approach	approach	NOUN
ejpam-6381	446	4	for	for	ADP
ejpam-6381	446	5	fractional	fractional	ADJ
ejpam-6381	446	6	differential	differential	ADJ
ejpam-6381	446	7	equations	equation	NOUN
ejpam-6381	446	8	.	.	PUNCT
ejpam-6381	447	1	mathematical	mathematical	ADJ
ejpam-6381	447	2	modelling	modelling	NOUN
ejpam-6381	447	3	of	of	ADP
ejpam-6381	447	4	natural	natural	ADJ
ejpam-6381	447	5	phenomena	phenomenon	NOUN
ejpam-6381	447	6	,	,	PUNCT
ejpam-6381	447	7	13(1):3	13(1):3	PROPN
ejpam-6381	447	8	,	,	PUNCT
ejpam-6381	447	9	2018	2018	NUM
ejpam-6381	447	10	.	.	PUNCT
ejpam-6381	448	1	[	[	X
ejpam-6381	448	2	21	21	NUM
ejpam-6381	448	3	]	]	X
ejpam-6381	448	4	ilhem	ilhem	PROPN
ejpam-6381	448	5	kadri	kadri	PROPN
ejpam-6381	448	6	,	,	PUNCT
ejpam-6381	448	7	mohammed	mohammed	PROPN
ejpam-6381	448	8	al	al	PROPN
ejpam-6381	448	9	horani	horani	PROPN
ejpam-6381	448	10	,	,	PUNCT
ejpam-6381	448	11	and	and	CCONJ
ejpam-6381	448	12	roshdi	roshdi	ADJ
ejpam-6381	448	13	khalil	khalil	PROPN
ejpam-6381	448	14	.	.	PUNCT
ejpam-6381	449	1	solution	solution	NOUN
ejpam-6381	449	2	of	of	ADP
ejpam-6381	449	3	fractional	fractional	ADJ
ejpam-6381	449	4	laplace	laplace	NOUN
ejpam-6381	449	5	type	type	NOUN
ejpam-6381	449	6	equation	equation	NOUN
ejpam-6381	449	7	in	in	ADP
ejpam-6381	449	8	conformable	conformable	ADJ
ejpam-6381	449	9	sense	sense	NOUN
ejpam-6381	449	10	using	use	VERB
ejpam-6381	449	11	fractional	fractional	ADJ
ejpam-6381	449	12	fourier	fourier	NOUN
ejpam-6381	449	13	series	series	NOUN
ejpam-6381	449	14	with	with	ADP
ejpam-6381	449	15	separation	separation	NOUN
ejpam-6381	449	16	of	of	ADP
ejpam-6381	449	17	variables	variable	NOUN
ejpam-6381	449	18	technique	technique	NOUN
ejpam-6381	449	19	.	.	PUNCT
ejpam-6381	450	1	results	result	NOUN
ejpam-6381	450	2	in	in	ADP
ejpam-6381	450	3	nonlinear	nonlinear	ADJ
ejpam-6381	450	4	analysis	analysis	NOUN
ejpam-6381	450	5	,	,	PUNCT
ejpam-6381	450	6	6(2):53–59	6(2):53–59	NUM
ejpam-6381	450	7	,	,	PUNCT
ejpam-6381	450	8	2023	2023	NUM
ejpam-6381	450	9	.	.	PUNCT
ejpam-6381	451	1	[	[	X
ejpam-6381	451	2	22	22	NUM
ejpam-6381	451	3	]	]	X
ejpam-6381	451	4	s.	s.	PROPN
ejpam-6381	451	5	abdulkream	abdulkream	PROPN
ejpam-6381	451	6	alharbi	alharbi	PROPN
ejpam-6381	451	7	,	,	PUNCT
ejpam-6381	451	8	m.	m.	NOUN
ejpam-6381	451	9	a.	a.	PROPN
ejpam-6381	451	10	abdoon	abdoon	PROPN
ejpam-6381	451	11	,	,	PUNCT
ejpam-6381	451	12	r.	r.	PROPN
ejpam-6381	451	13	saadeh	saadeh	PROPN
ejpam-6381	451	14	,	,	PUNCT
ejpam-6381	451	15	r.	r.	PROPN
ejpam-6381	451	16	allogmany	allogmany	PROPN
ejpam-6381	451	17	,	,	PUNCT
ejpam-6381	451	18	m.	m.	NOUN
ejpam-6381	451	19	berir	berir	NOUN
ejpam-6381	451	20	,	,	PUNCT
ejpam-6381	451	21	and	and	CCONJ
ejpam-6381	451	22	f.	f.	PROPN
ejpam-6381	451	23	el	el	PROPN
ejpam-6381	451	24	guma	guma	PROPN
ejpam-6381	451	25	.	.	PUNCT
ejpam-6381	452	1	modeling	modeling	NOUN
ejpam-6381	452	2	and	and	CCONJ
ejpam-6381	452	3	analysis	analysis	NOUN
ejpam-6381	452	4	of	of	ADP
ejpam-6381	452	5	visceral	visceral	ADJ
ejpam-6381	452	6	leishmaniasis	leishmaniasis	NOUN
ejpam-6381	452	7	dynamics	dynamic	NOUN
ejpam-6381	452	8	using	use	VERB
ejpam-6381	452	9	fractional	fractional	ADJ
ejpam-6381	452	10	-	-	PUNCT
ejpam-6381	452	11	order	order	NOUN
ejpam-6381	452	12	operators	operator	NOUN
ejpam-6381	452	13	:	:	PUNCT
ejpam-6381	452	14	a	a	DET
ejpam-6381	452	15	comparative	comparative	ADJ
ejpam-6381	452	16	study	study	NOUN
ejpam-6381	452	17	.	.	PUNCT
ejpam-6381	453	1	mathematical	mathematical	ADJ
ejpam-6381	453	2	methods	method	NOUN
ejpam-6381	453	3	in	in	ADP
ejpam-6381	453	4	the	the	DET
ejpam-6381	453	5	applied	apply	VERB
ejpam-6381	453	6	sciences	science	NOUN
ejpam-6381	453	7	,	,	PUNCT
ejpam-6381	453	8	47(12):9918–9937	47(12):9918–9937	NUM
ejpam-6381	453	9	,	,	PUNCT
ejpam-6381	453	10	2024	2024	NUM
ejpam-6381	453	11	.	.	PUNCT
ejpam-6381	454	1	[	[	X
ejpam-6381	454	2	23	23	NUM
ejpam-6381	454	3	]	]	PUNCT
ejpam-6381	454	4	a.	a.	PROPN
ejpam-6381	454	5	b.	b.	PROPN
ejpam-6381	454	6	m.	m.	PROPN
ejpam-6381	454	7	alzahrani	alzahrani	PROPN
ejpam-6381	454	8	,	,	PUNCT
ejpam-6381	454	9	r.	r.	PROPN
ejpam-6381	454	10	saadeh	saadeh	PROPN
ejpam-6381	454	11	,	,	PUNCT
ejpam-6381	454	12	m.	m.	NOUN
ejpam-6381	454	13	a.	a.	PROPN
ejpam-6381	454	14	abdoon	abdoon	PROPN
ejpam-6381	454	15	,	,	PUNCT
ejpam-6381	454	16	m.	m.	NOUN
ejpam-6381	454	17	elbadri	elbadri	PROPN
ejpam-6381	454	18	,	,	PUNCT
ejpam-6381	454	19	m.	m.	NOUN
ejpam-6381	454	20	berir	berir	NOUN
ejpam-6381	454	21	,	,	PUNCT
ejpam-6381	454	22	and	and	CCONJ
ejpam-6381	454	23	a.	a.	NOUN
ejpam-6381	454	24	qazza	qazza	PROPN
ejpam-6381	454	25	.	.	PUNCT
ejpam-6381	455	1	effective	effective	ADJ
ejpam-6381	455	2	methods	method	NOUN
ejpam-6381	455	3	for	for	ADP
ejpam-6381	455	4	numerical	numerical	ADJ
ejpam-6381	455	5	analysis	analysis	NOUN
ejpam-6381	455	6	of	of	ADP
ejpam-6381	455	7	the	the	DET
ejpam-6381	455	8	simplest	simple	ADJ
ejpam-6381	455	9	chaotic	chaotic	ADJ
ejpam-6381	455	10	circuit	circuit	NOUN
ejpam-6381	455	11	model	model	NOUN
ejpam-6381	455	12	with	with	ADP
ejpam-6381	455	13	atangana	atangana	PROPN
ejpam-6381	455	14	-	-	PUNCT
ejpam-6381	455	15	baleanu	baleanu	PROPN
ejpam-6381	455	16	caputo	caputo	PROPN
ejpam-6381	455	17	fractional	fractional	PROPN
ejpam-6381	455	18	derivative	derivative	PROPN
ejpam-6381	455	19	.	.	PUNCT
ejpam-6381	456	1	journal	journal	PROPN
ejpam-6381	456	2	of	of	ADP
ejpam-6381	456	3	engineering	engineering	NOUN
ejpam-6381	456	4	mathematics	mathematic	NOUN
ejpam-6381	456	5	,	,	PUNCT
ejpam-6381	456	6	144(1):9	144(1):9	NUM
ejpam-6381	456	7	,	,	PUNCT
ejpam-6381	456	8	2024	2024	NUM
ejpam-6381	456	9	.	.	PUNCT
ejpam-6381	457	1	[	[	X
ejpam-6381	457	2	24	24	NUM
ejpam-6381	457	3	]	]	PUNCT
ejpam-6381	457	4	a.	a.	NOUN
ejpam-6381	457	5	qazza	qazza	PROPN
ejpam-6381	457	6	and	and	CCONJ
ejpam-6381	457	7	r.	r.	PROPN
ejpam-6381	457	8	saadeh	saadeh	PROPN
ejpam-6381	457	9	.	.	PUNCT
ejpam-6381	458	1	on	on	ADP
ejpam-6381	458	2	the	the	DET
ejpam-6381	458	3	analytical	analytical	ADJ
ejpam-6381	458	4	solution	solution	NOUN
ejpam-6381	458	5	of	of	ADP
ejpam-6381	458	6	fractional	fractional	ADJ
ejpam-6381	458	7	sir	sir	NOUN
ejpam-6381	458	8	epidemic	epidemic	NOUN
ejpam-6381	458	9	model	model	NOUN
ejpam-6381	458	10	.	.	PUNCT
ejpam-6381	459	1	applied	apply	VERB
ejpam-6381	459	2	computational	computational	ADJ
ejpam-6381	459	3	intelligence	intelligence	NOUN
ejpam-6381	459	4	and	and	CCONJ
ejpam-6381	459	5	soft	soft	ADJ
ejpam-6381	459	6	computing	computing	NOUN
ejpam-6381	459	7	,	,	PUNCT
ejpam-6381	459	8	2023:16	2023:16	NUM
ejpam-6381	459	9	,	,	PUNCT
ejpam-6381	459	10	2023	2023	NUM
ejpam-6381	459	11	.	.	PUNCT
ejpam-6381	460	1	[	[	X
ejpam-6381	460	2	25	25	NUM
ejpam-6381	460	3	]	]	X
ejpam-6381	460	4	e.	e.	PROPN
ejpam-6381	460	5	salah	salah	PROPN
ejpam-6381	460	6	,	,	PUNCT
ejpam-6381	460	7	a.	a.	NOUN
ejpam-6381	460	8	qazza	qazza	PROPN
ejpam-6381	460	9	,	,	PUNCT
ejpam-6381	460	10	r.	r.	PROPN
ejpam-6381	460	11	saadeh	saadeh	PROPN
ejpam-6381	460	12	,	,	PUNCT
ejpam-6381	460	13	and	and	CCONJ
ejpam-6381	460	14	a.	a.	PROPN
ejpam-6381	460	15	el	el	PROPN
ejpam-6381	460	16	-	-	PUNCT
ejpam-6381	460	17	ajou	ajou	ADJ
ejpam-6381	460	18	.	.	PUNCT
ejpam-6381	461	1	a	a	DET
ejpam-6381	461	2	hybrid	hybrid	ADJ
ejpam-6381	461	3	analytical	analytical	ADJ
ejpam-6381	461	4	technique	technique	NOUN
ejpam-6381	461	5	for	for	ADP
ejpam-6381	461	6	solving	solve	VERB
ejpam-6381	461	7	multi	multi	ADJ
ejpam-6381	461	8	-	-	ADJ
ejpam-6381	461	9	dimensional	dimensional	ADJ
ejpam-6381	461	10	time	time	NOUN
ejpam-6381	461	11	-	-	PUNCT
ejpam-6381	461	12	fractional	fractional	ADJ
ejpam-6381	461	13	navier	navier	NOUN
ejpam-6381	461	14	-	-	PUNCT
ejpam-6381	461	15	stokes	stoke	NOUN
ejpam-6381	461	16	system	system	NOUN
ejpam-6381	461	17	.	.	PUNCT
ejpam-6381	462	1	aims	aim	VERB
ejpam-6381	462	2	mathematics	mathematic	NOUN
ejpam-6381	462	3	,	,	PUNCT
ejpam-6381	462	4	8(1):1713–1736	8(1):1713–1736	PROPN
ejpam-6381	462	5	,	,	PUNCT
ejpam-6381	462	6	2023	2023	NUM
ejpam-6381	462	7	.	.	PUNCT
ejpam-6381	463	1	[	[	X
ejpam-6381	463	2	26	26	NUM
ejpam-6381	463	3	]	]	PUNCT
ejpam-6381	463	4	uğur	uğur	PROPN
ejpam-6381	463	5	erkan	erkan	PROPN
ejpam-6381	463	6	,	,	PUNCT
ejpam-6381	463	7	abdurrahim	abdurrahim	PROPN
ejpam-6381	463	8	toktas	tokta	NOUN
ejpam-6381	463	9	,	,	PUNCT
ejpam-6381	463	10	and	and	CCONJ
ejpam-6381	463	11	qiang	qiang	PROPN
ejpam-6381	463	12	lai	lai	PROPN
ejpam-6381	463	13	.	.	PUNCT
ejpam-6381	464	1	2d	2d	NUM
ejpam-6381	464	2	hyperchaotic	hyperchaotic	ADJ
ejpam-6381	464	3	system	system	NOUN
ejpam-6381	464	4	based	base	VERB
ejpam-6381	464	5	on	on	ADP
ejpam-6381	464	6	schaffer	schaffer	PROPN
ejpam-6381	464	7	function	function	NOUN
ejpam-6381	464	8	for	for	ADP
ejpam-6381	464	9	image	image	NOUN
ejpam-6381	464	10	encryption	encryption	NOUN
ejpam-6381	464	11	.	.	PUNCT
ejpam-6381	465	1	expert	expert	NOUN
ejpam-6381	465	2	systems	system	NOUN
ejpam-6381	465	3	with	with	ADP
ejpam-6381	465	4	applications	application	NOUN
ejpam-6381	465	5	,	,	PUNCT
ejpam-6381	465	6	213:119076	213:119076	NUM
ejpam-6381	465	7	,	,	PUNCT
ejpam-6381	465	8	2023	2023	NUM
ejpam-6381	465	9	.	.	PUNCT
ejpam-6381	466	1	[	[	X
ejpam-6381	466	2	27	27	NUM
ejpam-6381	466	3	]	]	PUNCT
ejpam-6381	466	4	a.	a.	NOUN
ejpam-6381	466	5	sahasrabuddhe	sahasrabuddhe	PROPN
ejpam-6381	466	6	and	and	CCONJ
ejpam-6381	466	7	d.	d.	PROPN
ejpam-6381	466	8	s.	s.	PROPN
ejpam-6381	466	9	laiphrakpam	laiphrakpam	PROPN
ejpam-6381	466	10	.	.	PUNCT
ejpam-6381	467	1	multiple	multiple	ADJ
ejpam-6381	467	2	images	image	NOUN
ejpam-6381	467	3	encryption	encryption	NOUN
ejpam-6381	467	4	based	base	VERB
ejpam-6381	467	5	on	on	ADP
ejpam-6381	467	6	3d	3d	NUM
ejpam-6381	467	7	scrambling	scrambling	NOUN
ejpam-6381	467	8	and	and	CCONJ
ejpam-6381	467	9	hyper	hyper	ADJ
ejpam-6381	467	10	-	-	ADJ
ejpam-6381	467	11	chaotic	chaotic	ADJ
ejpam-6381	467	12	system	system	NOUN
ejpam-6381	467	13	.	.	PUNCT
ejpam-6381	468	1	information	information	NOUN
ejpam-6381	468	2	sciences	sciences	PROPN
ejpam-6381	468	3	,	,	PUNCT
ejpam-6381	468	4	550:252–267	550:252–267	NUM
ejpam-6381	468	5	,	,	PUNCT
ejpam-6381	468	6	2021	2021	NUM
ejpam-6381	468	7	.	.	PUNCT
ejpam-6381	469	1	[	[	X
ejpam-6381	469	2	28	28	NUM
ejpam-6381	469	3	]	]	X
ejpam-6381	469	4	h.	h.	PROPN
ejpam-6381	469	5	wang	wang	PROPN
ejpam-6381	469	6	and	and	CCONJ
ejpam-6381	469	7	g.	g.	PROPN
ejpam-6381	469	8	dong	dong	PROPN
ejpam-6381	469	9	.	.	PUNCT
ejpam-6381	470	1	new	new	ADJ
ejpam-6381	470	2	dynamics	dynamic	NOUN
ejpam-6381	470	3	coined	coin	VERB
ejpam-6381	470	4	in	in	ADP
ejpam-6381	470	5	a	a	DET
ejpam-6381	470	6	4	4	NUM
ejpam-6381	470	7	-	-	PUNCT
ejpam-6381	470	8	d	d	NOUN
ejpam-6381	470	9	quadratic	quadratic	ADJ
ejpam-6381	470	10	autonomous	autonomous	ADJ
ejpam-6381	470	11	hyperchaotic	hyperchaotic	ADJ
ejpam-6381	470	12	system	system	NOUN
ejpam-6381	470	13	.	.	PUNCT
ejpam-6381	471	1	applied	apply	VERB
ejpam-6381	471	2	mathematics	mathematic	NOUN
ejpam-6381	471	3	and	and	CCONJ
ejpam-6381	471	4	computation	computation	NOUN
ejpam-6381	471	5	,	,	PUNCT
ejpam-6381	471	6	346:272–286	346:272–286	NUM
ejpam-6381	471	7	,	,	PUNCT
ejpam-6381	471	8	2019	2019	NUM
ejpam-6381	471	9	.	.	PUNCT
ejpam-6381	472	1	[	[	X
ejpam-6381	472	2	29	29	NUM
ejpam-6381	472	3	]	]	PUNCT
ejpam-6381	472	4	t.	t.	PROPN
ejpam-6381	472	5	nestor	nestor	PROPN
ejpam-6381	472	6	,	,	PUNCT
ejpam-6381	472	7	a.	a.	PROPN
ejpam-6381	472	8	belazi	belazi	PROPN
ejpam-6381	472	9	,	,	PUNCT
ejpam-6381	472	10	b.	b.	PROPN
ejpam-6381	472	11	abd	abd	PROPN
ejpam-6381	472	12	-	-	PROPN
ejpam-6381	472	13	el	el	PROPN
ejpam-6381	472	14	-	-	PROPN
ejpam-6381	472	15	atty	atty	PROPN
ejpam-6381	472	16	,	,	PUNCT
ejpam-6381	472	17	m.	m.	PROPN
ejpam-6381	472	18	n.	n.	PROPN
ejpam-6381	472	19	aslam	aslam	PROPN
ejpam-6381	472	20	,	,	PUNCT
ejpam-6381	472	21	c.	c.	PROPN
ejpam-6381	472	22	volos	volos	PROPN
ejpam-6381	472	23	,	,	PUNCT
ejpam-6381	472	24	n.	n.	PROPN
ejpam-6381	472	25	j.	j.	PROPN
ejpam-6381	472	26	de	de	PROPN
ejpam-6381	472	27	dieu	dieu	PROPN
ejpam-6381	472	28	,	,	PUNCT
ejpam-6381	472	29	et	et	PROPN
ejpam-6381	472	30	al	al	PROPN
ejpam-6381	472	31	.	.	PUNCT
ejpam-6381	473	1	a	a	DET
ejpam-6381	473	2	new	new	ADJ
ejpam-6381	473	3	4d	4d	NUM
ejpam-6381	473	4	hyperchaotic	hyperchaotic	ADJ
ejpam-6381	473	5	system	system	NOUN
ejpam-6381	473	6	with	with	ADP
ejpam-6381	473	7	dynamics	dynamic	NOUN
ejpam-6381	473	8	analysis	analysis	NOUN
ejpam-6381	473	9	,	,	PUNCT
ejpam-6381	473	10	synchronization	synchronization	NOUN
ejpam-6381	473	11	,	,	PUNCT
ejpam-6381	473	12	and	and	CCONJ
ejpam-6381	473	13	application	application	NOUN
ejpam-6381	473	14	to	to	ADP
ejpam-6381	473	15	image	image	NOUN
ejpam-6381	473	16	encryption	encryption	NOUN
ejpam-6381	473	17	.	.	PUNCT
ejpam-6381	474	1	symmetry	symmetry	PROPN
ejpam-6381	474	2	,	,	PUNCT
ejpam-6381	474	3	14:424	14:424	NUM
ejpam-6381	474	4	,	,	PUNCT
ejpam-6381	474	5	2022	2022	NUM
ejpam-6381	474	6	.	.	PUNCT
ejpam-6381	475	1	[	[	X
ejpam-6381	475	2	30	30	NUM
ejpam-6381	475	3	]	]	PUNCT
ejpam-6381	475	4	shiming	shime	VERB
ejpam-6381	475	5	fu	fu	NOUN
ejpam-6381	475	6	,	,	PUNCT
ejpam-6381	475	7	xuefeng	xuefeng	PROPN
ejpam-6381	475	8	cheng	cheng	PROPN
ejpam-6381	475	9	,	,	PUNCT
ejpam-6381	475	10	and	and	CCONJ
ejpam-6381	475	11	juan	juan	PROPN
ejpam-6381	475	12	liu	liu	PROPN
ejpam-6381	475	13	.	.	PUNCT
ejpam-6381	476	1	dynamics	dynamic	NOUN
ejpam-6381	476	2	,	,	PUNCT
ejpam-6381	476	3	circuit	circuit	NOUN
ejpam-6381	476	4	design	design	NOUN
ejpam-6381	476	5	,	,	PUNCT
ejpam-6381	476	6	feedback	feedback	NOUN
ejpam-6381	476	7	control	control	NOUN
ejpam-6381	476	8	of	of	ADP
ejpam-6381	476	9	a	a	DET
ejpam-6381	476	10	new	new	ADJ
ejpam-6381	476	11	hyperchaotic	hyperchaotic	ADJ
ejpam-6381	476	12	system	system	NOUN
ejpam-6381	476	13	and	and	CCONJ
ejpam-6381	476	14	its	its	PRON
ejpam-6381	476	15	application	application	NOUN
ejpam-6381	476	16	in	in	ADP
ejpam-6381	476	17	audio	audio	ADJ
ejpam-6381	476	18	encryption	encryption	NOUN
ejpam-6381	476	19	.	.	PUNCT
ejpam-6381	477	1	scientific	scientific	ADJ
ejpam-6381	477	2	reports	report	NOUN
ejpam-6381	477	3	,	,	PUNCT
ejpam-6381	477	4	13(1):19385	13(1):19385	NUM
ejpam-6381	477	5	,	,	PUNCT
ejpam-6381	477	6	2023	2023	NUM
ejpam-6381	477	7	.	.	PUNCT
ejpam-6381	478	1	[	[	X
ejpam-6381	478	2	31	31	NUM
ejpam-6381	478	3	]	]	PUNCT
ejpam-6381	478	4	xiaodong	xiaodong	PROPN
ejpam-6381	478	5	li	li	PROPN
ejpam-6381	478	6	et	et	PROPN
ejpam-6381	478	7	al	al	PROPN
ejpam-6381	478	8	.	.	PROPN
ejpam-6381	478	9	video	video	NOUN
ejpam-6381	478	10	encryption	encryption	NOUN
ejpam-6381	478	11	based	base	VERB
ejpam-6381	478	12	on	on	ADP
ejpam-6381	478	13	hyperchaotic	hyperchaotic	ADJ
ejpam-6381	478	14	system	system	NOUN
ejpam-6381	478	15	.	.	PUNCT
ejpam-6381	479	1	multimedia	multimedia	NOUN
ejpam-6381	479	2	tools	tool	NOUN
ejpam-6381	479	3	and	and	CCONJ
ejpam-6381	479	4	applications	application	NOUN
ejpam-6381	479	5	,	,	PUNCT
ejpam-6381	479	6	79:23995–24011	79:23995–24011	NUM
ejpam-6381	479	7	,	,	PUNCT
ejpam-6381	479	8	2020	2020	NUM
ejpam-6381	479	9	.	.	PUNCT
ejpam-6381	480	1	[	[	X
ejpam-6381	480	2	32	32	NUM
ejpam-6381	480	3	]	]	PUNCT
ejpam-6381	480	4	a.	a.	NOUN
ejpam-6381	480	5	hadj	hadj	PROPN
ejpam-6381	480	6	brahim	brahim	PROPN
ejpam-6381	480	7	et	et	PROPN
ejpam-6381	480	8	al	al	PROPN
ejpam-6381	480	9	.	.	PUNCT
ejpam-6381	481	1	a	a	DET
ejpam-6381	481	2	novel	novel	ADJ
ejpam-6381	481	3	pseudo	pseudo	NOUN
ejpam-6381	481	4	-	-	ADJ
ejpam-6381	481	5	random	random	ADJ
ejpam-6381	481	6	number	number	NOUN
ejpam-6381	481	7	generator	generator	NOUN
ejpam-6381	481	8	:	:	PUNCT
ejpam-6381	481	9	combining	combine	VERB
ejpam-6381	481	10	hyperchaotic	hyperchaotic	ADJ
ejpam-6381	481	11	system	system	NOUN
ejpam-6381	481	12	and	and	CCONJ
ejpam-6381	481	13	des	des	X
ejpam-6381	481	14	algorithm	algorithm	NOUN
ejpam-6381	481	15	for	for	ADP
ejpam-6381	481	16	secure	secure	ADJ
ejpam-6381	481	17	applications	application	NOUN
ejpam-6381	481	18	.	.	PUNCT
ejpam-6381	482	1	the	the	DET
ejpam-6381	482	2	journal	journal	NOUN
ejpam-6381	482	3	of	of	ADP
ejpam-6381	482	4	supercomputing	supercomputing	NOUN
ejpam-6381	482	5	,	,	PUNCT
ejpam-6381	482	6	81(1):94	81(1):94	NUM
ejpam-6381	482	7	,	,	PUNCT
ejpam-6381	482	8	2025	2025	NUM
ejpam-6381	482	9	.	.	PUNCT
ejpam-6381	483	1	[	[	X
ejpam-6381	483	2	33	33	NUM
ejpam-6381	483	3	]	]	X
ejpam-6381	483	4	yang	yang	PROPN
ejpam-6381	483	5	liu	liu	PROPN
ejpam-6381	483	6	and	and	CCONJ
ejpam-6381	483	7	xiaojun	xiaojun	PROPN
ejpam-6381	483	8	tong	tong	PROPN
ejpam-6381	483	9	.	.	PUNCT
ejpam-6381	484	1	hyperchaotic	hyperchaotic	ADJ
ejpam-6381	484	2	system	system	NOUN
ejpam-6381	484	3	-	-	PUNCT
ejpam-6381	484	4	based	base	VERB
ejpam-6381	484	5	pseudorandom	pseudorandom	PROPN
ejpam-6381	484	6	number	number	NOUN
ejpam-6381	484	7	generator	generator	PROPN
ejpam-6381	484	8	.	.	PUNCT
ejpam-6381	485	1	iet	iet	PROPN
ejpam-6381	485	2	information	information	PROPN
ejpam-6381	485	3	security	security	NOUN
ejpam-6381	485	4	,	,	PUNCT
ejpam-6381	485	5	10(6):433–441	10(6):433–441	NUM
ejpam-6381	485	6	,	,	PUNCT
ejpam-6381	485	7	2016	2016	NUM
ejpam-6381	485	8	.	.	PUNCT
ejpam-6381	486	1	[	[	X
ejpam-6381	486	2	34	34	NUM
ejpam-6381	486	3	]	]	X
ejpam-6381	486	4	ilhem	ilhem	PROPN
ejpam-6381	486	5	kadri	kadri	PROPN
ejpam-6381	486	6	,	,	PUNCT
ejpam-6381	486	7	mohammed	mohammed	PROPN
ejpam-6381	486	8	al	al	PROPN
ejpam-6381	486	9	horani	horani	PROPN
ejpam-6381	486	10	,	,	PUNCT
ejpam-6381	486	11	and	and	CCONJ
ejpam-6381	486	12	roshdi	roshdi	PROPN
ejpam-6381	486	13	r.	r.	PROPN
ejpam-6381	486	14	khalil	khalil	PROPN
ejpam-6381	486	15	.	.	PUNCT
ejpam-6381	487	1	solution	solution	NOUN
ejpam-6381	487	2	of	of	ADP
ejpam-6381	487	3	non	non	ADJ
ejpam-6381	487	4	-	-	ADJ
ejpam-6381	487	5	linear	linear	ADJ
ejpam-6381	487	6	fractional	fractional	ADJ
ejpam-6381	487	7	burger	burger	NOUN
ejpam-6381	487	8	’s	’s	PART
ejpam-6381	487	9	type	type	NOUN
ejpam-6381	487	10	equations	equation	NOUN
ejpam-6381	487	11	using	use	VERB
ejpam-6381	487	12	the	the	DET
ejpam-6381	487	13	laplace	laplace	NOUN
ejpam-6381	487	14	transform	transform	NOUN
ejpam-6381	487	15	decomposition	decomposition	NOUN
ejpam-6381	487	16	method	method	NOUN
ejpam-6381	487	17	.	.	PUNCT
ejpam-6381	488	1	results	result	NOUN
ejpam-6381	488	2	in	in	ADP
ejpam-6381	488	3	nonlinear	nonlinear	ADJ
ejpam-6381	488	4	analysis	analysis	NOUN
ejpam-6381	488	5	,	,	PUNCT
ejpam-6381	488	6	5(2):131–150	5(2):131–150	NUM
ejpam-6381	488	7	,	,	PUNCT
ejpam-6381	488	8	2022	2022	NUM
ejpam-6381	488	9	.	.	PUNCT
ejpam-6381	489	1	[	[	X
ejpam-6381	489	2	35	35	NUM
ejpam-6381	489	3	]	]	X
ejpam-6381	489	4	h.	h.	PROPN
ejpam-6381	489	5	gündoğdu	gündoğdu	PROPN
ejpam-6381	489	6	and	and	CCONJ
ejpam-6381	489	7	h.	h.	PROPN
ejpam-6381	489	8	joshi	joshi	PROPN
ejpam-6381	489	9	.	.	PROPN
ejpam-6381	489	10	numerical	numerical	ADJ
ejpam-6381	489	11	analysis	analysis	NOUN
ejpam-6381	489	12	of	of	ADP
ejpam-6381	489	13	time	time	NOUN
ejpam-6381	489	14	-	-	PUNCT
ejpam-6381	489	15	fractional	fractional	ADJ
ejpam-6381	489	16	cancer	cancer	NOUN
ejpam-6381	489	17	models	model	NOUN
ejpam-6381	489	18	with	with	ADP
ejpam-6381	489	19	i.kadri	i.kadri	PROPN
ejpam-6381	489	20	et	et	PROPN
ejpam-6381	489	21	al	al	PROPN
ejpam-6381	489	22	.	.	PUNCT
ejpam-6381	489	23	/	/	SYM
ejpam-6381	489	24	eur	eur	PROPN
ejpam-6381	489	25	.	.	PUNCT
ejpam-6381	490	1	j.	j.	PROPN
ejpam-6381	490	2	pure	pure	PROPN
ejpam-6381	490	3	appl	appl	PROPN
ejpam-6381	490	4	.	.	PROPN
ejpam-6381	490	5	math	math	PROPN
ejpam-6381	490	6	,	,	PUNCT
ejpam-6381	490	7	18	18	NUM
ejpam-6381	490	8	(	(	PUNCT
ejpam-6381	490	9	3	3	NUM
ejpam-6381	490	10	)	)	PUNCT
ejpam-6381	490	11	(	(	PUNCT
ejpam-6381	490	12	2025	2025	NUM
ejpam-6381	490	13	)	)	PUNCT
ejpam-6381	490	14	,	,	PUNCT
ejpam-6381	490	15	6381	6381	NUM
ejpam-6381	490	16	18	18	NUM
ejpam-6381	490	17	of	of	ADP
ejpam-6381	490	18	19	19	NUM
ejpam-6381	490	19	different	different	ADJ
ejpam-6381	490	20	types	type	NOUN
ejpam-6381	490	21	of	of	ADP
ejpam-6381	490	22	net	net	ADJ
ejpam-6381	490	23	killing	killing	NOUN
ejpam-6381	490	24	rate	rate	NOUN
ejpam-6381	490	25	.	.	PUNCT
ejpam-6381	491	1	mathematics	mathematic	NOUN
ejpam-6381	491	2	,	,	PUNCT
ejpam-6381	491	3	13(3):536	13(3):536	NOUN
ejpam-6381	491	4	,	,	PUNCT
ejpam-6381	491	5	2025	2025	NUM
ejpam-6381	491	6	.	.	PUNCT
ejpam-6381	492	1	[	[	X
ejpam-6381	492	2	36	36	NUM
ejpam-6381	492	3	]	]	X
ejpam-6381	492	4	muhammad	muhammad	PROPN
ejpam-6381	492	5	sarfraz	sarfraz	PROPN
ejpam-6381	492	6	et	et	PROPN
ejpam-6381	492	7	al	al	PROPN
ejpam-6381	492	8	.	.	PUNCT
ejpam-6381	493	1	dynamic	dynamic	ADJ
ejpam-6381	493	2	analysis	analysis	NOUN
ejpam-6381	493	3	of	of	ADP
ejpam-6381	493	4	a	a	DET
ejpam-6381	493	5	10	10	NUM
ejpam-6381	493	6	-	-	PUNCT
ejpam-6381	493	7	dimensional	dimensional	ADJ
ejpam-6381	493	8	fractional	fractional	ADJ
ejpam-6381	493	9	-	-	PUNCT
ejpam-6381	493	10	order	order	NOUN
ejpam-6381	493	11	hyperchaotic	hyperchaotic	ADJ
ejpam-6381	493	12	system	system	NOUN
ejpam-6381	493	13	using	use	VERB
ejpam-6381	493	14	advanced	advanced	ADJ
ejpam-6381	493	15	hyperchaotic	hyperchaotic	ADJ
ejpam-6381	493	16	metrics	metric	NOUN
ejpam-6381	493	17	.	.	PUNCT
ejpam-6381	494	1	fractal	fractal	ADJ
ejpam-6381	494	2	and	and	CCONJ
ejpam-6381	494	3	fractional	fractional	ADJ
ejpam-6381	494	4	,	,	PUNCT
ejpam-6381	494	5	9(2):76	9(2):76	NUM
ejpam-6381	494	6	,	,	PUNCT
ejpam-6381	494	7	2025	2025	NUM
ejpam-6381	494	8	.	.	PUNCT
ejpam-6381	495	1	[	[	X
ejpam-6381	495	2	37	37	NUM
ejpam-6381	495	3	]	]	X
ejpam-6381	495	4	thwiba	thwiba	PROPN
ejpam-6381	495	5	abdulrhman	abdulrhman	NOUN
ejpam-6381	495	6	.	.	PUNCT
ejpam-6381	496	1	stability	stability	NOUN
ejpam-6381	496	2	analysis	analysis	NOUN
ejpam-6381	496	3	of	of	ADP
ejpam-6381	496	4	fractional	fractional	ADJ
ejpam-6381	496	5	chaotic	chaotic	ADJ
ejpam-6381	496	6	and	and	CCONJ
ejpam-6381	496	7	fractional	fractional	ADJ
ejpam-6381	496	8	-	-	PUNCT
ejpam-6381	496	9	order	order	NOUN
ejpam-6381	496	10	hyperchain	hyperchain	NOUN
ejpam-6381	496	11	systems	system	NOUN
ejpam-6381	496	12	using	use	VERB
ejpam-6381	496	13	lyapunov	lyapunov	ADJ
ejpam-6381	496	14	functions	function	NOUN
ejpam-6381	496	15	.	.	PUNCT
ejpam-6381	497	1	european	european	ADJ
ejpam-6381	497	2	journal	journal	PROPN
ejpam-6381	497	3	of	of	ADP
ejpam-6381	497	4	pure	pure	ADJ
ejpam-6381	497	5	and	and	CCONJ
ejpam-6381	497	6	applied	applied	ADJ
ejpam-6381	497	7	mathematics	mathematic	NOUN
ejpam-6381	497	8	,	,	PUNCT
ejpam-6381	497	9	18(1):5576–5576	18(1):5576–5576	NUM
ejpam-6381	497	10	,	,	PUNCT
ejpam-6381	497	11	2025	2025	NUM
ejpam-6381	497	12	.	.	PUNCT
ejpam-6381	498	1	[	[	X
ejpam-6381	498	2	38	38	NUM
ejpam-6381	498	3	]	]	PUNCT
ejpam-6381	498	4	ammar	ammar	PROPN
ejpam-6381	498	5	soukkou	soukkou	PROPN
ejpam-6381	498	6	et	et	PROPN
ejpam-6381	498	7	al	al	PROPN
ejpam-6381	498	8	.	.	PROPN
ejpam-6381	499	1	design	design	NOUN
ejpam-6381	499	2	tools	tool	NOUN
ejpam-6381	499	3	to	to	PART
ejpam-6381	499	4	stabilize	stabilize	VERB
ejpam-6381	499	5	and	and	CCONJ
ejpam-6381	499	6	to	to	PART
ejpam-6381	499	7	synchronize	synchronize	VERB
ejpam-6381	499	8	fractional	fractional	ADJ
ejpam-6381	499	9	-	-	PUNCT
ejpam-6381	499	10	order	order	NOUN
ejpam-6381	499	11	energy	energy	NOUN
ejpam-6381	499	12	resources	resource	NOUN
ejpam-6381	499	13	system	system	NOUN
ejpam-6381	499	14	based	base	VERB
ejpam-6381	499	15	on	on	ADP
ejpam-6381	499	16	fractional	fractional	ADJ
ejpam-6381	499	17	-	-	PUNCT
ejpam-6381	499	18	order	order	NOUN
ejpam-6381	499	19	control	control	NOUN
ejpam-6381	499	20	approaches	approach	VERB
ejpam-6381	499	21	:	:	PUNCT
ejpam-6381	499	22	a	a	DET
ejpam-6381	499	23	review	review	NOUN
ejpam-6381	499	24	.	.	PUNCT
ejpam-6381	500	1	journal	journal	NOUN
ejpam-6381	500	2	of	of	ADP
ejpam-6381	500	3	the	the	DET
ejpam-6381	500	4	brazilian	brazilian	ADJ
ejpam-6381	500	5	society	society	NOUN
ejpam-6381	500	6	of	of	ADP
ejpam-6381	500	7	mechanical	mechanical	ADJ
ejpam-6381	500	8	sciences	science	NOUN
ejpam-6381	500	9	and	and	CCONJ
ejpam-6381	500	10	engineering	engineering	NOUN
ejpam-6381	500	11	,	,	PUNCT
ejpam-6381	500	12	47(4):173	47(4):173	PROPN
ejpam-6381	500	13	,	,	PUNCT
ejpam-6381	500	14	2025	2025	NUM
ejpam-6381	500	15	.	.	PUNCT
ejpam-6381	501	1	[	[	X
ejpam-6381	501	2	39	39	NUM
ejpam-6381	501	3	]	]	PUNCT
ejpam-6381	501	4	j.	j.	PROPN
ejpam-6381	501	5	jackson	jackson	PROPN
ejpam-6381	501	6	and	and	CCONJ
ejpam-6381	501	7	r.	r.	PROPN
ejpam-6381	501	8	perumal	perumal	PROPN
ejpam-6381	501	9	.	.	PUNCT
ejpam-6381	502	1	a	a	DET
ejpam-6381	502	2	robust	robust	ADJ
ejpam-6381	502	3	image	image	NOUN
ejpam-6381	502	4	encryption	encryption	NOUN
ejpam-6381	502	5	technique	technique	NOUN
ejpam-6381	502	6	based	base	VERB
ejpam-6381	502	7	on	on	ADP
ejpam-6381	502	8	an	an	DET
ejpam-6381	502	9	improved	improved	ADJ
ejpam-6381	502	10	fractional	fractional	ADJ
ejpam-6381	502	11	order	order	NOUN
ejpam-6381	502	12	chaotic	chaotic	ADJ
ejpam-6381	502	13	map	map	NOUN
ejpam-6381	502	14	.	.	PUNCT
ejpam-6381	503	1	nonlinear	nonlinear	ADJ
ejpam-6381	503	2	dynamics	dynamic	NOUN
ejpam-6381	503	3	,	,	PUNCT
ejpam-6381	503	4	113(7):7277–7296	113(7):7277–7296	NUM
ejpam-6381	503	5	,	,	PUNCT
ejpam-6381	503	6	2025	2025	NUM
ejpam-6381	503	7	.	.	PUNCT
ejpam-6381	504	1	[	[	X
ejpam-6381	504	2	40	40	NUM
ejpam-6381	504	3	]	]	PUNCT
ejpam-6381	504	4	s.	s.	PROPN
ejpam-6381	504	5	fu	fu	PROPN
ejpam-6381	504	6	,	,	PUNCT
ejpam-6381	504	7	x.	x.	PROPN
ejpam-6381	504	8	f.	f.	PROPN
ejpam-6381	504	9	cheng	cheng	PROPN
ejpam-6381	504	10	,	,	PUNCT
ejpam-6381	504	11	and	and	CCONJ
ejpam-6381	504	12	j.	j.	PROPN
ejpam-6381	504	13	liu	liu	PROPN
ejpam-6381	504	14	.	.	PUNCT
ejpam-6381	505	1	dynamics	dynamic	NOUN
ejpam-6381	505	2	,	,	PUNCT
ejpam-6381	505	3	circuit	circuit	NOUN
ejpam-6381	505	4	design	design	NOUN
ejpam-6381	505	5	,	,	PUNCT
ejpam-6381	505	6	feedback	feedback	NOUN
ejpam-6381	505	7	control	control	NOUN
ejpam-6381	505	8	of	of	ADP
ejpam-6381	505	9	a	a	DET
ejpam-6381	505	10	new	new	ADJ
ejpam-6381	505	11	hyperchaotic	hyperchaotic	ADJ
ejpam-6381	505	12	system	system	NOUN
ejpam-6381	505	13	and	and	CCONJ
ejpam-6381	505	14	its	its	PRON
ejpam-6381	505	15	application	application	NOUN
ejpam-6381	505	16	in	in	ADP
ejpam-6381	505	17	audio	audio	ADJ
ejpam-6381	505	18	encryption	encryption	NOUN
ejpam-6381	505	19	.	.	PUNCT
ejpam-6381	506	1	scientific	scientific	ADJ
ejpam-6381	506	2	reports	report	NOUN
ejpam-6381	506	3	,	,	PUNCT
ejpam-6381	506	4	13:19385	13:19385	NUM
ejpam-6381	506	5	,	,	PUNCT
ejpam-6381	506	6	2023	2023	NUM
ejpam-6381	506	7	.	.	PUNCT
ejpam-6381	507	1	[	[	X
ejpam-6381	507	2	41	41	NUM
ejpam-6381	507	3	]	]	X
ejpam-6381	507	4	h.	h.	NOUN
ejpam-6381	507	5	gundogdu	gundogdu	NOUN
ejpam-6381	507	6	and	and	CCONJ
ejpam-6381	507	7	o.	o.	PROPN
ejpam-6381	507	8	f.	f.	PROPN
ejpam-6381	507	9	gozukizil	gozukizil	PROPN
ejpam-6381	507	10	.	.	PUNCT
ejpam-6381	508	1	on	on	ADP
ejpam-6381	508	2	the	the	DET
ejpam-6381	508	3	approximate	approximate	ADJ
ejpam-6381	508	4	numerical	numerical	ADJ
ejpam-6381	508	5	solutions	solution	NOUN
ejpam-6381	508	6	of	of	ADP
ejpam-6381	508	7	fractional	fractional	ADJ
ejpam-6381	508	8	heat	heat	NOUN
ejpam-6381	508	9	equation	equation	NOUN
ejpam-6381	508	10	with	with	ADP
ejpam-6381	508	11	heat	heat	NOUN
ejpam-6381	508	12	source	source	NOUN
ejpam-6381	508	13	and	and	CCONJ
ejpam-6381	508	14	heat	heat	NOUN
ejpam-6381	508	15	loss	loss	NOUN
ejpam-6381	508	16	.	.	PUNCT
ejpam-6381	509	1	thermal	thermal	ADJ
ejpam-6381	509	2	science	science	NOUN
ejpam-6381	509	3	,	,	PUNCT
ejpam-6381	509	4	26(5	26(5	PROPN
ejpam-6381	509	5	part	part	NOUN
ejpam-6381	509	6	a):3773–3786	a):3773–3786	ADP
ejpam-6381	509	7	,	,	PUNCT
ejpam-6381	509	8	2022	2022	NUM
ejpam-6381	509	9	.	.	PUNCT
ejpam-6381	510	1	[	[	X
ejpam-6381	510	2	42	42	NUM
ejpam-6381	510	3	]	]	X
ejpam-6381	510	4	h.	h.	PROPN
ejpam-6381	510	5	gündoğdu	gündoğdu	PROPN
ejpam-6381	510	6	and	and	CCONJ
ejpam-6381	510	7	ö.	ö.	PROPN
ejpam-6381	510	8	f.	f.	PROPN
ejpam-6381	510	9	gözükızıl	gözükızıl	PROPN
ejpam-6381	510	10	.	.	PUNCT
ejpam-6381	511	1	applications	application	NOUN
ejpam-6381	511	2	of	of	ADP
ejpam-6381	511	3	the	the	DET
ejpam-6381	511	4	decomposition	decomposition	NOUN
ejpam-6381	511	5	methods	method	NOUN
ejpam-6381	511	6	to	to	ADP
ejpam-6381	511	7	some	some	DET
ejpam-6381	511	8	nonlinear	nonlinear	ADJ
ejpam-6381	511	9	partial	partial	ADJ
ejpam-6381	511	10	differential	differential	NOUN
ejpam-6381	511	11	equations	equation	NOUN
ejpam-6381	511	12	.	.	PUNCT
ejpam-6381	512	1	new	new	ADJ
ejpam-6381	512	2	trends	trend	NOUN
ejpam-6381	512	3	in	in	ADP
ejpam-6381	512	4	mathematical	mathematical	ADJ
ejpam-6381	512	5	sciences	science	NOUN
ejpam-6381	512	6	,	,	PUNCT
ejpam-6381	512	7	6(3):57–66	6(3):57–66	NUM
ejpam-6381	512	8	,	,	PUNCT
ejpam-6381	512	9	2018	2018	NUM
ejpam-6381	512	10	.	.	PUNCT
ejpam-6381	513	1	[	[	X
ejpam-6381	513	2	43	43	NUM
ejpam-6381	513	3	]	]	PUNCT
ejpam-6381	513	4	m.	m.	PROPN
ejpam-6381	513	5	caputo	caputo	PROPN
ejpam-6381	513	6	and	and	CCONJ
ejpam-6381	513	7	m.	m.	PROPN
ejpam-6381	513	8	fabrizio	fabrizio	PROPN
ejpam-6381	513	9	.	.	PUNCT
ejpam-6381	514	1	a	a	DET
ejpam-6381	514	2	new	new	ADJ
ejpam-6381	514	3	definition	definition	NOUN
ejpam-6381	514	4	of	of	ADP
ejpam-6381	514	5	fractional	fractional	ADJ
ejpam-6381	514	6	derivative	derivative	NOUN
ejpam-6381	514	7	without	without	ADP
ejpam-6381	514	8	singular	singular	ADJ
ejpam-6381	514	9	kernel	kernel	PROPN
ejpam-6381	514	10	.	.	PUNCT
ejpam-6381	515	1	progress	progress	NOUN
ejpam-6381	515	2	in	in	ADP
ejpam-6381	515	3	fractional	fractional	ADJ
ejpam-6381	515	4	differentiation	differentiation	NOUN
ejpam-6381	515	5	and	and	CCONJ
ejpam-6381	515	6	applications	application	NOUN
ejpam-6381	515	7	,	,	PUNCT
ejpam-6381	515	8	1:73–85	1:73–85	NUM
ejpam-6381	515	9	,	,	PUNCT
ejpam-6381	515	10	2015	2015	NUM
ejpam-6381	515	11	.	.	PUNCT
ejpam-6381	516	1	[	[	X
ejpam-6381	516	2	44	44	NUM
ejpam-6381	516	3	]	]	X
ejpam-6381	516	4	omar	omar	PROPN
ejpam-6381	516	5	abu	abu	PROPN
ejpam-6381	516	6	arqub	arqub	PROPN
ejpam-6381	516	7	et	et	PROPN
ejpam-6381	516	8	al	al	PROPN
ejpam-6381	516	9	.	.	PUNCT
ejpam-6381	517	1	a	a	DET
ejpam-6381	517	2	reliable	reliable	ADJ
ejpam-6381	517	3	analytical	analytical	ADJ
ejpam-6381	517	4	method	method	NOUN
ejpam-6381	517	5	for	for	ADP
ejpam-6381	517	6	solving	solve	VERB
ejpam-6381	517	7	higher	high	ADJ
ejpam-6381	517	8	-	-	PUNCT
ejpam-6381	517	9	order	order	NOUN
ejpam-6381	517	10	initial	initial	ADJ
ejpam-6381	517	11	value	value	NOUN
ejpam-6381	517	12	problems	problem	NOUN
ejpam-6381	517	13	.	.	PUNCT
ejpam-6381	518	1	discrete	discrete	ADJ
ejpam-6381	518	2	dynamics	dynamic	NOUN
ejpam-6381	518	3	in	in	ADP
ejpam-6381	518	4	nature	nature	NOUN
ejpam-6381	518	5	and	and	CCONJ
ejpam-6381	518	6	society	society	NOUN
ejpam-6381	518	7	,	,	PUNCT
ejpam-6381	518	8	2013(1):673829	2013(1):673829	NUM
ejpam-6381	518	9	,	,	PUNCT
ejpam-6381	518	10	2013	2013	NUM
ejpam-6381	518	11	.	.	PUNCT
ejpam-6381	519	1	[	[	X
ejpam-6381	519	2	45	45	NUM
ejpam-6381	519	3	]	]	X
ejpam-6381	519	4	sania	sania	PROPN
ejpam-6381	519	5	qureshi	qureshi	PROPN
ejpam-6381	519	6	and	and	CCONJ
ejpam-6381	519	7	abdon	abdon	PROPN
ejpam-6381	519	8	atangana	atangana	PROPN
ejpam-6381	519	9	.	.	PUNCT
ejpam-6381	520	1	mathematical	mathematical	ADJ
ejpam-6381	520	2	analysis	analysis	NOUN
ejpam-6381	520	3	of	of	ADP
ejpam-6381	520	4	dengue	dengue	NOUN
ejpam-6381	520	5	fever	fever	NOUN
ejpam-6381	520	6	outbreak	outbreak	NOUN
ejpam-6381	520	7	by	by	ADP
ejpam-6381	520	8	novel	novel	ADJ
ejpam-6381	520	9	fractional	fractional	ADJ
ejpam-6381	520	10	operators	operator	NOUN
ejpam-6381	520	11	with	with	ADP
ejpam-6381	520	12	field	field	NOUN
ejpam-6381	520	13	data	datum	NOUN
ejpam-6381	520	14	.	.	PUNCT
ejpam-6381	521	1	physica	physica	PROPN
ejpam-6381	521	2	a	a	DET
ejpam-6381	521	3	:	:	PUNCT
ejpam-6381	521	4	statistical	statistical	ADJ
ejpam-6381	521	5	mechanics	mechanic	NOUN
ejpam-6381	521	6	and	and	CCONJ
ejpam-6381	521	7	its	its	PRON
ejpam-6381	521	8	applications	application	NOUN
ejpam-6381	521	9	,	,	PUNCT
ejpam-6381	521	10	526:121127	526:121127	NUM
ejpam-6381	521	11	,	,	PUNCT
ejpam-6381	521	12	2019	2019	NUM
ejpam-6381	521	13	.	.	PUNCT
ejpam-6381	522	1	[	[	X
ejpam-6381	522	2	46	46	NUM
ejpam-6381	522	3	]	]	X
ejpam-6381	522	4	r.	r.	PROPN
ejpam-6381	522	5	saadeh	saadeh	PROPN
ejpam-6381	522	6	,	,	PUNCT
ejpam-6381	522	7	a.	a.	NOUN
ejpam-6381	522	8	alshawabkeh	alshawabkeh	PROPN
ejpam-6381	522	9	,	,	PUNCT
ejpam-6381	522	10	r.	r.	PROPN
ejpam-6381	522	11	khalil	khalil	PROPN
ejpam-6381	522	12	,	,	PUNCT
ejpam-6381	522	13	m.	m.	PROPN
ejpam-6381	522	14	a.	a.	PROPN
ejpam-6381	522	15	abdoon	abdoon	PROPN
ejpam-6381	522	16	,	,	PUNCT
ejpam-6381	522	17	n.	n.	PROPN
ejpam-6381	522	18	taha	taha	PROPN
ejpam-6381	522	19	,	,	PUNCT
ejpam-6381	522	20	and	and	CCONJ
ejpam-6381	522	21	d.	d.	PROPN
ejpam-6381	522	22	k.	k.	PROPN
ejpam-6381	522	23	almutairi	almutairi	PROPN
ejpam-6381	522	24	.	.	PUNCT
ejpam-6381	523	1	the	the	DET
ejpam-6381	523	2	mohanad	mohanad	NOUN
ejpam-6381	523	3	transforms	transform	VERB
ejpam-6381	523	4	and	and	CCONJ
ejpam-6381	523	5	their	their	PRON
ejpam-6381	523	6	applications	application	NOUN
ejpam-6381	523	7	for	for	ADP
ejpam-6381	523	8	solving	solve	VERB
ejpam-6381	523	9	systems	system	NOUN
ejpam-6381	523	10	of	of	ADP
ejpam-6381	523	11	differential	differential	ADJ
ejpam-6381	523	12	equations	equation	NOUN
ejpam-6381	523	13	.	.	PUNCT
ejpam-6381	524	1	european	european	ADJ
ejpam-6381	524	2	journal	journal	PROPN
ejpam-6381	524	3	of	of	ADP
ejpam-6381	524	4	pure	pure	ADJ
ejpam-6381	524	5	and	and	CCONJ
ejpam-6381	524	6	applied	applied	ADJ
ejpam-6381	524	7	mathematics	mathematic	NOUN
ejpam-6381	524	8	,	,	PUNCT
ejpam-6381	524	9	17(1):385–409	17(1):385–409	NUM
ejpam-6381	524	10	,	,	PUNCT
ejpam-6381	524	11	2024	2024	NUM
ejpam-6381	524	12	.	.	PUNCT
ejpam-6381	525	1	[	[	X
ejpam-6381	525	2	47	47	NUM
ejpam-6381	525	3	]	]	X
ejpam-6381	525	4	f.	f.	PROPN
ejpam-6381	525	5	e.	e.	PROPN
ejpam-6381	525	6	l.	l.	PROPN
ejpam-6381	525	7	gumaa	gumaa	PROPN
ejpam-6381	525	8	,	,	PUNCT
ejpam-6381	525	9	m.	m.	NOUN
ejpam-6381	525	10	a.	a.	PROPN
ejpam-6381	525	11	abdoon	abdoon	PROPN
ejpam-6381	525	12	,	,	PUNCT
ejpam-6381	525	13	a.	a.	NOUN
ejpam-6381	525	14	qazza	qazza	PROPN
ejpam-6381	525	15	,	,	PUNCT
ejpam-6381	525	16	r.	r.	PROPN
ejpam-6381	525	17	saadeh	saadeh	PROPN
ejpam-6381	525	18	,	,	PUNCT
ejpam-6381	525	19	m.	m.	NOUN
ejpam-6381	525	20	a.	a.	NOUN
ejpam-6381	525	21	arishi	arishi	PROPN
ejpam-6381	525	22	,	,	PUNCT
ejpam-6381	525	23	and	and	CCONJ
ejpam-6381	525	24	a.	a.	NOUN
ejpam-6381	525	25	m.	m.	NOUN
ejpam-6381	525	26	degoot	degoot	PROPN
ejpam-6381	525	27	.	.	PUNCT
ejpam-6381	526	1	analyzing	analyze	VERB
ejpam-6381	526	2	the	the	DET
ejpam-6381	526	3	impact	impact	NOUN
ejpam-6381	526	4	of	of	ADP
ejpam-6381	526	5	control	control	NOUN
ejpam-6381	526	6	strategies	strategy	NOUN
ejpam-6381	526	7	on	on	ADP
ejpam-6381	526	8	visceral	visceral	ADJ
ejpam-6381	526	9	leishmaniasis	leishmaniasis	NOUN
ejpam-6381	526	10	:	:	PUNCT
ejpam-6381	526	11	a	a	DET
ejpam-6381	526	12	mathematical	mathematical	ADJ
ejpam-6381	526	13	modeling	modeling	NOUN
ejpam-6381	526	14	perspective	perspective	NOUN
ejpam-6381	526	15	.	.	PUNCT
ejpam-6381	527	1	european	european	ADJ
ejpam-6381	527	2	journal	journal	PROPN
ejpam-6381	527	3	of	of	ADP
ejpam-6381	527	4	pure	pure	ADJ
ejpam-6381	527	5	and	and	CCONJ
ejpam-6381	527	6	applied	applied	ADJ
ejpam-6381	527	7	mathematics	mathematic	NOUN
ejpam-6381	527	8	,	,	PUNCT
ejpam-6381	527	9	17(2):1213–1227	17(2):1213–1227	NUM
ejpam-6381	527	10	,	,	PUNCT
ejpam-6381	527	11	2024	2024	NUM
ejpam-6381	527	12	.	.	PUNCT
ejpam-6381	528	1	[	[	X
ejpam-6381	528	2	48	48	NUM
ejpam-6381	528	3	]	]	PUNCT
ejpam-6381	528	4	r.	r.	PROPN
ejpam-6381	528	5	allogmany	allogmany	PROPN
ejpam-6381	528	6	,	,	PUNCT
ejpam-6381	528	7	n.	n.	PROPN
ejpam-6381	528	8	a.	a.	NOUN
ejpam-6381	528	9	almuallem	almuallem	PROPN
ejpam-6381	528	10	,	,	PUNCT
ejpam-6381	528	11	r.	r.	PROPN
ejpam-6381	528	12	d.	d.	PROPN
ejpam-6381	528	13	alsemiry	alsemiry	PROPN
ejpam-6381	528	14	,	,	PUNCT
ejpam-6381	528	15	and	and	CCONJ
ejpam-6381	528	16	m.	m.	PROPN
ejpam-6381	528	17	a.	a.	PROPN
ejpam-6381	528	18	abdoon	abdoon	PROPN
ejpam-6381	528	19	.	.	PUNCT
ejpam-6381	529	1	exploring	explore	VERB
ejpam-6381	529	2	chaos	chaos	NOUN
ejpam-6381	529	3	in	in	ADP
ejpam-6381	529	4	fractional	fractional	ADJ
ejpam-6381	529	5	order	order	NOUN
ejpam-6381	529	6	systems	system	NOUN
ejpam-6381	529	7	:	:	PUNCT
ejpam-6381	529	8	a	a	DET
ejpam-6381	529	9	study	study	NOUN
ejpam-6381	529	10	of	of	ADP
ejpam-6381	529	11	constant	constant	ADJ
ejpam-6381	529	12	and	and	CCONJ
ejpam-6381	529	13	variable	variable	ADJ
ejpam-6381	529	14	-	-	PUNCT
ejpam-6381	529	15	order	order	NOUN
ejpam-6381	529	16	dynamics	dynamic	NOUN
ejpam-6381	529	17	.	.	PUNCT
ejpam-6381	530	1	symmetry	symmetry	PROPN
ejpam-6381	530	2	,	,	PUNCT
ejpam-6381	530	3	17(4):605	17(4):605	NUM
ejpam-6381	530	4	,	,	PUNCT
ejpam-6381	530	5	2025	2025	NUM
ejpam-6381	530	6	.	.	PUNCT
ejpam-6381	531	1	[	[	X
ejpam-6381	531	2	49	49	NUM
ejpam-6381	531	3	]	]	PUNCT
ejpam-6381	531	4	m.	m.	NOUN
ejpam-6381	531	5	abu	abu	PROPN
ejpam-6381	531	6	-	-	PUNCT
ejpam-6381	531	7	ghuwaleh	ghuwaleh	PROPN
ejpam-6381	531	8	,	,	PUNCT
ejpam-6381	531	9	r.	r.	PROPN
ejpam-6381	531	10	saadeh	saadeh	PROPN
ejpam-6381	531	11	,	,	PUNCT
ejpam-6381	531	12	and	and	CCONJ
ejpam-6381	531	13	a.	a.	NOUN
ejpam-6381	531	14	qazza	qazza	PROPN
ejpam-6381	531	15	.	.	PUNCT
ejpam-6381	532	1	general	general	ADJ
ejpam-6381	532	2	master	master	NOUN
ejpam-6381	532	3	theorems	theorem	NOUN
ejpam-6381	532	4	of	of	ADP
ejpam-6381	532	5	integrals	integral	NOUN
ejpam-6381	532	6	with	with	ADP
ejpam-6381	532	7	applications	application	NOUN
ejpam-6381	532	8	.	.	PUNCT
ejpam-6381	533	1	mathematics	mathematic	NOUN
ejpam-6381	533	2	,	,	PUNCT
ejpam-6381	533	3	10(19):3547	10(19):3547	NUM
ejpam-6381	533	4	,	,	PUNCT
ejpam-6381	533	5	2022	2022	NUM
ejpam-6381	533	6	.	.	PUNCT
ejpam-6381	534	1	[	[	X
ejpam-6381	534	2	50	50	NUM
ejpam-6381	534	3	]	]	X
ejpam-6381	534	4	d.	d.	PROPN
ejpam-6381	534	5	e.	e.	PROPN
ejpam-6381	534	6	elgezouli	elgezouli	PROPN
ejpam-6381	534	7	,	,	PUNCT
ejpam-6381	534	8	h.	h.	PROPN
ejpam-6381	534	9	eltayeb	eltayeb	PROPN
ejpam-6381	534	10	,	,	PUNCT
ejpam-6381	534	11	and	and	CCONJ
ejpam-6381	534	12	m.	m.	PROPN
ejpam-6381	534	13	a.	a.	PROPN
ejpam-6381	534	14	abdoon	abdoon	PROPN
ejpam-6381	534	15	.	.	PUNCT
ejpam-6381	535	1	novel	novel	ADJ
ejpam-6381	535	2	gpid	gpid	NOUN
ejpam-6381	535	3	:	:	PUNCT
ejpam-6381	535	4	grünwald	grünwald	ADJ
ejpam-6381	535	5	-	-	ADJ
ejpam-6381	535	6	letnikov	letnikov	ADJ
ejpam-6381	535	7	fractional	fractional	ADJ
ejpam-6381	535	8	pid	pid	NOUN
ejpam-6381	535	9	for	for	ADP
ejpam-6381	535	10	enhanced	enhance	VERB
ejpam-6381	535	11	adaptive	adaptive	ADJ
ejpam-6381	535	12	cruise	cruise	NOUN
ejpam-6381	535	13	control	control	NOUN
ejpam-6381	535	14	.	.	PUNCT
ejpam-6381	536	1	fractal	fractal	ADJ
ejpam-6381	536	2	and	and	CCONJ
ejpam-6381	536	3	fractional	fractional	ADJ
ejpam-6381	536	4	,	,	PUNCT
ejpam-6381	536	5	8(12):751	8(12):751	NUM
ejpam-6381	536	6	,	,	PUNCT
ejpam-6381	536	7	2024	2024	NUM
ejpam-6381	536	8	.	.	PUNCT
ejpam-6381	537	1	i.kadri	i.kadri	PROPN
ejpam-6381	537	2	et	et	PROPN
ejpam-6381	537	3	al	al	PROPN
ejpam-6381	537	4	.	.	PUNCT
ejpam-6381	537	5	/	/	SYM
ejpam-6381	537	6	eur	eur	PROPN
ejpam-6381	537	7	.	.	PUNCT
ejpam-6381	538	1	j.	j.	PROPN
ejpam-6381	538	2	pure	pure	PROPN
ejpam-6381	538	3	appl	appl	PROPN
ejpam-6381	538	4	.	.	PROPN
ejpam-6381	538	5	math	math	PROPN
ejpam-6381	538	6	,	,	PUNCT
ejpam-6381	538	7	18	18	NUM
ejpam-6381	538	8	(	(	PUNCT
ejpam-6381	538	9	3	3	NUM
ejpam-6381	538	10	)	)	PUNCT
ejpam-6381	538	11	(	(	PUNCT
ejpam-6381	538	12	2025	2025	NUM
ejpam-6381	538	13	)	)	PUNCT
ejpam-6381	538	14	,	,	PUNCT
ejpam-6381	538	15	6381	6381	NUM
ejpam-6381	538	16	19	19	NUM
ejpam-6381	538	17	of	of	ADP
ejpam-6381	538	18	19	19	NUM
ejpam-6381	538	19	[	[	SYM
ejpam-6381	538	20	51	51	NUM
ejpam-6381	538	21	]	]	PUNCT
ejpam-6381	538	22	m.	m.	PROPN
ejpam-6381	538	23	ali	ali	PROPN
ejpam-6381	538	24	,	,	PUNCT
ejpam-6381	538	25	s.	s.	PROPN
ejpam-6381	538	26	m.	m.	PROPN
ejpam-6381	538	27	alzahrani	alzahrani	PROPN
ejpam-6381	538	28	,	,	PUNCT
ejpam-6381	538	29	r.	r.	PROPN
ejpam-6381	538	30	saadeh	saadeh	PROPN
ejpam-6381	538	31	,	,	PUNCT
ejpam-6381	538	32	m.	m.	NOUN
ejpam-6381	538	33	a.	a.	PROPN
ejpam-6381	538	34	abdoon	abdoon	PROPN
ejpam-6381	538	35	,	,	PUNCT
ejpam-6381	538	36	a.	a.	NOUN
ejpam-6381	538	37	qazza	qazza	PROPN
ejpam-6381	538	38	,	,	PUNCT
ejpam-6381	538	39	n.	n.	PROPN
ejpam-6381	538	40	al	al	PROPN
ejpam-6381	538	41	-	-	PUNCT
ejpam-6381	538	42	kuleab	kuleab	PROPN
ejpam-6381	538	43	,	,	PUNCT
ejpam-6381	538	44	and	and	CCONJ
ejpam-6381	538	45	f.	f.	PROPN
ejpam-6381	538	46	el	el	PROPN
ejpam-6381	538	47	guma	guma	PROPN
ejpam-6381	538	48	.	.	PUNCT
ejpam-6381	539	1	modeling	model	VERB
ejpam-6381	539	2	covid-19	covid-19	PROPN
ejpam-6381	539	3	spread	spread	VERB
ejpam-6381	539	4	and	and	CCONJ
ejpam-6381	539	5	non	non	ADJ
ejpam-6381	539	6	-	-	ADJ
ejpam-6381	539	7	pharmaceutical	pharmaceutical	ADJ
ejpam-6381	539	8	interventions	intervention	NOUN
ejpam-6381	539	9	in	in	ADP
ejpam-6381	539	10	south	south	PROPN
ejpam-6381	539	11	africa	africa	PROPN
ejpam-6381	539	12	:	:	PUNCT
ejpam-6381	539	13	a	a	DET
ejpam-6381	539	14	stochastic	stochastic	ADJ
ejpam-6381	539	15	approach	approach	NOUN
ejpam-6381	539	16	.	.	PUNCT
ejpam-6381	540	1	scientific	scientific	ADJ
ejpam-6381	540	2	african	african	PROPN
ejpam-6381	540	3	,	,	PUNCT
ejpam-6381	540	4	24	24	NUM
ejpam-6381	540	5	:	:	PUNCT
ejpam-6381	540	6	e02155	e02155	NOUN
ejpam-6381	540	7	,	,	PUNCT
ejpam-6381	540	8	2024	2024	NUM
ejpam-6381	540	9	.	.	PUNCT