id	sid	tid	token	lemma	pos
ejpam-5784	1	1	european	european	PROPN
ejpam-5784	1	2	journal	journal	PROPN
ejpam-5784	1	3	of	of	ADP
ejpam-5784	1	4	pure	pure	ADJ
ejpam-5784	1	5	and	and	CCONJ
ejpam-5784	1	6	applied	applied	ADJ
ejpam-5784	1	7	mathematics	mathematic	NOUN
ejpam-5784	1	8	2025	2025	NUM
ejpam-5784	1	9	,	,	PUNCT
ejpam-5784	1	10	vol	vol	NOUN
ejpam-5784	1	11	.	.	PROPN
ejpam-5784	1	12	18	18	NUM
ejpam-5784	1	13	,	,	PUNCT
ejpam-5784	1	14	issue	issue	NOUN
ejpam-5784	1	15	1	1	NUM
ejpam-5784	1	16	,	,	PUNCT
ejpam-5784	1	17	article	article	NOUN
ejpam-5784	1	18	number	number	NOUN
ejpam-5784	1	19	5784	5784	NUM
ejpam-5784	1	20	issn	issn	PROPN
ejpam-5784	1	21	1307	1307	NUM
ejpam-5784	1	22	-	-	SYM
ejpam-5784	1	23	5543	5543	NUM
ejpam-5784	1	24	–	–	PUNCT
ejpam-5784	1	25	ejpam.com	ejpam.com	X
ejpam-5784	1	26	published	publish	VERB
ejpam-5784	1	27	by	by	ADP
ejpam-5784	1	28	new	new	PROPN
ejpam-5784	1	29	york	york	PROPN
ejpam-5784	1	30	business	business	PROPN
ejpam-5784	1	31	global	global	ADJ
ejpam-5784	1	32	effective	effective	ADJ
ejpam-5784	1	33	analytical	analytical	ADJ
ejpam-5784	1	34	-	-	PUNCT
ejpam-5784	1	35	approximate	approximate	ADJ
ejpam-5784	1	36	technique	technique	NOUN
ejpam-5784	1	37	for	for	ADP
ejpam-5784	1	38	caputo	caputo	PROPN
ejpam-5784	1	39	nonlinear	nonlinear	PROPN
ejpam-5784	1	40	time	time	NOUN
ejpam-5784	1	41	-	-	PUNCT
ejpam-5784	1	42	fractional	fractional	ADJ
ejpam-5784	1	43	systems	system	NOUN
ejpam-5784	1	44	emerging	emerge	VERB
ejpam-5784	1	45	in	in	ADP
ejpam-5784	1	46	shallow	shallow	ADJ
ejpam-5784	1	47	water	water	NOUN
ejpam-5784	1	48	waves	wave	NOUN
ejpam-5784	1	49	and	and	CCONJ
ejpam-5784	1	50	hydrodynamic	hydrodynamic	ADJ
ejpam-5784	1	51	turbulence	turbulence	NOUN
ejpam-5784	1	52	mohammad	mohammad	PROPN
ejpam-5784	1	53	alaroud1,∗	alaroud1,∗	PROPN
ejpam-5784	1	54	,	,	PUNCT
ejpam-5784	1	55	faten	faten	VERB
ejpam-5784	1	56	aldosari2	aldosari2	ADJ
ejpam-5784	1	57	1	1	NUM
ejpam-5784	1	58	department	department	NOUN
ejpam-5784	1	59	of	of	ADP
ejpam-5784	1	60	mathematics	mathematic	NOUN
ejpam-5784	1	61	,	,	PUNCT
ejpam-5784	1	62	faculty	faculty	NOUN
ejpam-5784	1	63	of	of	ADP
ejpam-5784	1	64	science	science	NOUN
ejpam-5784	1	65	,	,	PUNCT
ejpam-5784	1	66	yarmouk	yarmouk	CCONJ
ejpam-5784	1	67	university	university	NOUN
ejpam-5784	1	68	,	,	PUNCT
ejpam-5784	1	69	irbid	irbid	VERB
ejpam-5784	1	70	21163	21163	NUM
ejpam-5784	1	71	,	,	PUNCT
ejpam-5784	1	72	jordan	jordan	PROPN
ejpam-5784	1	73	2	2	NUM
ejpam-5784	1	74	department	department	NOUN
ejpam-5784	1	75	of	of	ADP
ejpam-5784	1	76	mathematics	mathematic	NOUN
ejpam-5784	1	77	,	,	PUNCT
ejpam-5784	1	78	college	college	NOUN
ejpam-5784	1	79	of	of	ADP
ejpam-5784	1	80	science	science	PROPN
ejpam-5784	1	81	,	,	PUNCT
ejpam-5784	1	82	shaqra	shaqra	PROPN
ejpam-5784	1	83	university	university	PROPN
ejpam-5784	1	84	,	,	PUNCT
ejpam-5784	1	85	p.o	p.o	PROPN
ejpam-5784	1	86	.	.	PROPN
ejpam-5784	1	87	box	box	PROPN
ejpam-5784	1	88	15572	15572	NUM
ejpam-5784	1	89	,	,	PUNCT
ejpam-5784	1	90	shaqra11961	shaqra11961	PROPN
ejpam-5784	1	91	,	,	PUNCT
ejpam-5784	1	92	saudi	saudi	PROPN
ejpam-5784	1	93	arabia	arabia	PROPN
ejpam-5784	1	94	abstract	abstract	NOUN
ejpam-5784	1	95	.	.	PUNCT
ejpam-5784	2	1	this	this	DET
ejpam-5784	2	2	work	work	NOUN
ejpam-5784	2	3	aims	aim	VERB
ejpam-5784	2	4	to	to	PART
ejpam-5784	2	5	study	study	VERB
ejpam-5784	2	6	and	and	CCONJ
ejpam-5784	2	7	analyze	analyze	VERB
ejpam-5784	2	8	non	non	ADJ
ejpam-5784	2	9	-	-	ADJ
ejpam-5784	2	10	linear	linear	ADJ
ejpam-5784	2	11	time	time	NOUN
ejpam-5784	2	12	-	-	PUNCT
ejpam-5784	2	13	fractional	fractional	ADJ
ejpam-5784	2	14	systems	system	NOUN
ejpam-5784	2	15	that	that	PRON
ejpam-5784	2	16	describe	describe	VERB
ejpam-5784	2	17	non	non	ADJ
ejpam-5784	2	18	-	-	ADJ
ejpam-5784	2	19	linear	linear	ADJ
ejpam-5784	2	20	surface	surface	NOUN
ejpam-5784	2	21	waves	wave	NOUN
ejpam-5784	2	22	propagating	propagate	VERB
ejpam-5784	2	23	and	and	CCONJ
ejpam-5784	2	24	evolution	evolution	NOUN
ejpam-5784	2	25	equations	equation	NOUN
ejpam-5784	2	26	utilizing	utilize	VERB
ejpam-5784	2	27	a	a	DET
ejpam-5784	2	28	novel	novel	ADJ
ejpam-5784	2	29	analyticapproximate	analyticapproximate	NOUN
ejpam-5784	2	30	technique	technique	NOUN
ejpam-5784	2	31	based	base	VERB
ejpam-5784	2	32	upon	upon	SCONJ
ejpam-5784	2	33	integrating	integrate	VERB
ejpam-5784	2	34	two	two	NUM
ejpam-5784	2	35	schemes	scheme	NOUN
ejpam-5784	2	36	with	with	ADP
ejpam-5784	2	37	adequacy	adequacy	NOUN
ejpam-5784	2	38	,	,	PUNCT
ejpam-5784	2	39	high	high	ADJ
ejpam-5784	2	40	accuracy	accuracy	NOUN
ejpam-5784	2	41	,	,	PUNCT
ejpam-5784	2	42	straightforward	straightforward	ADJ
ejpam-5784	2	43	of	of	ADP
ejpam-5784	2	44	implementation	implementation	NOUN
ejpam-5784	2	45	,	,	PUNCT
ejpam-5784	2	46	computations	computation	NOUN
ejpam-5784	2	47	,	,	PUNCT
ejpam-5784	2	48	and	and	CCONJ
ejpam-5784	2	49	elasticity	elasticity	NOUN
ejpam-5784	2	50	in	in	ADP
ejpam-5784	2	51	handling	handle	VERB
ejpam-5784	2	52	with	with	ADP
ejpam-5784	2	53	more	more	ADV
ejpam-5784	2	54	sophisticated	sophisticated	ADJ
ejpam-5784	2	55	differential	differential	ADJ
ejpam-5784	2	56	equations	equation	NOUN
ejpam-5784	2	57	,	,	PUNCT
ejpam-5784	2	58	which	which	PRON
ejpam-5784	2	59	is	be	AUX
ejpam-5784	2	60	named	name	VERB
ejpam-5784	2	61	the	the	DET
ejpam-5784	2	62	laplace	laplace	NOUN
ejpam-5784	2	63	transform	transform	VERB
ejpam-5784	2	64	fractional	fractional	ADJ
ejpam-5784	2	65	residual	residual	ADJ
ejpam-5784	2	66	power	power	NOUN
ejpam-5784	2	67	series	series	NOUN
ejpam-5784	2	68	method	method	NOUN
ejpam-5784	2	69	within	within	ADP
ejpam-5784	2	70	the	the	DET
ejpam-5784	2	71	caputo	caputo	PROPN
ejpam-5784	2	72	-	-	PUNCT
ejpam-5784	2	73	fractional	fractional	ADJ
ejpam-5784	2	74	derivative	derivative	ADJ
ejpam-5784	2	75	framework	framework	NOUN
ejpam-5784	2	76	.	.	PUNCT
ejpam-5784	3	1	the	the	DET
ejpam-5784	3	2	proposed	propose	VERB
ejpam-5784	3	3	technique	technique	NOUN
ejpam-5784	3	4	had	have	AUX
ejpam-5784	3	5	been	be	AUX
ejpam-5784	3	6	implemented	implement	VERB
ejpam-5784	3	7	on	on	ADP
ejpam-5784	3	8	drinfeld	drinfeld	PROPN
ejpam-5784	3	9	-	-	PUNCT
ejpam-5784	3	10	sokolov	sokolov	PROPN
ejpam-5784	3	11	-	-	PUNCT
ejpam-5784	3	12	wilson	wilson	NOUN
ejpam-5784	3	13	equation	equation	NOUN
ejpam-5784	3	14	(	(	PUNCT
ejpam-5784	3	15	ds	ds	NOUN
ejpam-5784	3	16	-	-	PUNCT
ejpam-5784	3	17	we	we	PRON
ejpam-5784	3	18	)	)	PUNCT
ejpam-5784	3	19	and	and	CCONJ
ejpam-5784	3	20	coupled	couple	VERB
ejpam-5784	3	21	viscous	viscous	ADJ
ejpam-5784	3	22	burgers	burger	NOUN
ejpam-5784	3	23	’	'	PUNCT
ejpam-5784	3	24	equation	equation	NOUN
ejpam-5784	3	25	(	(	PUNCT
ejpam-5784	3	26	cvbe).the	cvbe).the	DET
ejpam-5784	3	27	approximation	approximation	NOUN
ejpam-5784	3	28	solutions	solution	NOUN
ejpam-5784	3	29	obtained	obtain	VERB
ejpam-5784	3	30	by	by	ADP
ejpam-5784	3	31	the	the	DET
ejpam-5784	3	32	lt	lt	PROPN
ejpam-5784	3	33	-	-	PUNCT
ejpam-5784	3	34	rfps	rfps	NOUN
ejpam-5784	3	35	technique	technique	NOUN
ejpam-5784	3	36	are	be	AUX
ejpam-5784	3	37	expressed	express	VERB
ejpam-5784	3	38	in	in	ADP
ejpam-5784	3	39	an	an	DET
ejpam-5784	3	40	infinite	infinite	ADJ
ejpam-5784	3	41	convergent	convergent	NOUN
ejpam-5784	3	42	fractional	fractional	ADJ
ejpam-5784	3	43	series	series	NOUN
ejpam-5784	3	44	form	form	NOUN
ejpam-5784	3	45	toward	toward	ADP
ejpam-5784	3	46	the	the	DET
ejpam-5784	3	47	exact	exact	ADJ
ejpam-5784	3	48	solution	solution	NOUN
ejpam-5784	3	49	for	for	ADP
ejpam-5784	3	50	the	the	DET
ejpam-5784	3	51	integer	integer	NOUN
ejpam-5784	3	52	fractional	fractional	ADJ
ejpam-5784	3	53	order	order	NOUN
ejpam-5784	3	54	.	.	PUNCT
ejpam-5784	4	1	to	to	PART
ejpam-5784	4	2	show	show	VERB
ejpam-5784	4	3	the	the	DET
ejpam-5784	4	4	accuracy	accuracy	NOUN
ejpam-5784	4	5	and	and	CCONJ
ejpam-5784	4	6	efficiency	efficiency	NOUN
ejpam-5784	4	7	of	of	ADP
ejpam-5784	4	8	the	the	DET
ejpam-5784	4	9	proposed	propose	VERB
ejpam-5784	4	10	method	method	NOUN
ejpam-5784	4	11	,	,	PUNCT
ejpam-5784	4	12	tabular	tabular	NOUN
ejpam-5784	4	13	simulations	simulation	NOUN
ejpam-5784	4	14	of	of	ADP
ejpam-5784	4	15	the	the	DET
ejpam-5784	4	16	produced	produce	VERB
ejpam-5784	4	17	approximations	approximation	NOUN
ejpam-5784	4	18	and	and	CCONJ
ejpam-5784	4	19	their	their	PRON
ejpam-5784	4	20	absolute	absolute	ADJ
ejpam-5784	4	21	errors	error	NOUN
ejpam-5784	4	22	are	be	AUX
ejpam-5784	4	23	performed	perform	VERB
ejpam-5784	4	24	,	,	PUNCT
ejpam-5784	4	25	along	along	ADP
ejpam-5784	4	26	with	with	ADP
ejpam-5784	4	27	2dand	2dand	NUM
ejpam-5784	4	28	3d	3d	NUM
ejpam-5784	4	29	-	-	PUNCT
ejpam-5784	4	30	representative	representative	NOUN
ejpam-5784	4	31	graphs	graph	NOUN
ejpam-5784	4	32	.	.	PUNCT
ejpam-5784	5	1	the	the	DET
ejpam-5784	5	2	physical	physical	ADJ
ejpam-5784	5	3	interpretation	interpretation	NOUN
ejpam-5784	5	4	of	of	ADP
ejpam-5784	5	5	solution	solution	NOUN
ejpam-5784	5	6	behaviors	behavior	NOUN
ejpam-5784	5	7	is	be	AUX
ejpam-5784	5	8	also	also	ADV
ejpam-5784	5	9	discussed	discuss	VERB
ejpam-5784	5	10	for	for	ADP
ejpam-5784	5	11	various	various	ADJ
ejpam-5784	5	12	ρ	ρ	PROPN
ejpam-5784	5	13	values	value	NOUN
ejpam-5784	5	14	over	over	ADP
ejpam-5784	5	15	an	an	DET
ejpam-5784	5	16	adequate	adequate	ADJ
ejpam-5784	5	17	duration	duration	NOUN
ejpam-5784	5	18	.	.	PUNCT
ejpam-5784	6	1	additionally	additionally	ADV
ejpam-5784	6	2	,	,	PUNCT
ejpam-5784	6	3	a	a	DET
ejpam-5784	6	4	numerical	numerical	ADJ
ejpam-5784	6	5	comparison	comparison	NOUN
ejpam-5784	6	6	is	be	AUX
ejpam-5784	6	7	performed	perform	VERB
ejpam-5784	6	8	with	with	ADP
ejpam-5784	6	9	other	other	ADJ
ejpam-5784	6	10	existing	exist	VERB
ejpam-5784	6	11	techniques	technique	NOUN
ejpam-5784	6	12	to	to	PART
ejpam-5784	6	13	show	show	VERB
ejpam-5784	6	14	the	the	DET
ejpam-5784	6	15	superiority	superiority	NOUN
ejpam-5784	6	16	of	of	ADP
ejpam-5784	6	17	the	the	DET
ejpam-5784	6	18	lt	lt	PROPN
ejpam-5784	6	19	-	-	PUNCT
ejpam-5784	6	20	rfps	rfps	NOUN
ejpam-5784	6	21	technique	technique	NOUN
ejpam-5784	6	22	.	.	PUNCT
ejpam-5784	7	1	consequently	consequently	ADV
ejpam-5784	7	2	,	,	PUNCT
ejpam-5784	7	3	the	the	DET
ejpam-5784	7	4	findings	finding	NOUN
ejpam-5784	7	5	of	of	ADP
ejpam-5784	7	6	the	the	DET
ejpam-5784	7	7	present	present	ADJ
ejpam-5784	7	8	work	work	NOUN
ejpam-5784	7	9	emphasize	emphasize	VERB
ejpam-5784	7	10	that	that	SCONJ
ejpam-5784	7	11	the	the	DET
ejpam-5784	7	12	integration	integration	NOUN
ejpam-5784	7	13	between	between	ADP
ejpam-5784	7	14	lt	lt	PRON
ejpam-5784	7	15	and	and	CCONJ
ejpam-5784	7	16	rfps	rfps	PROPN
ejpam-5784	7	17	schemes	scheme	NOUN
ejpam-5784	7	18	has	have	AUX
ejpam-5784	7	19	led	lead	VERB
ejpam-5784	7	20	us	we	PRON
ejpam-5784	7	21	to	to	ADP
ejpam-5784	7	22	a	a	DET
ejpam-5784	7	23	straightforward	straightforward	ADJ
ejpam-5784	7	24	,	,	PUNCT
ejpam-5784	7	25	effective	effective	ADJ
ejpam-5784	7	26	,	,	PUNCT
ejpam-5784	7	27	and	and	CCONJ
ejpam-5784	7	28	accurate	accurate	ADJ
ejpam-5784	7	29	iterative	iterative	ADJ
ejpam-5784	7	30	analytical	analytical	ADJ
ejpam-5784	7	31	technique	technique	NOUN
ejpam-5784	7	32	for	for	ADP
ejpam-5784	7	33	investigating	investigate	VERB
ejpam-5784	7	34	a	a	DET
ejpam-5784	7	35	wide	wide	ADJ
ejpam-5784	7	36	variety	variety	NOUN
ejpam-5784	7	37	of	of	ADP
ejpam-5784	7	38	non	non	ADJ
ejpam-5784	7	39	-	-	ADJ
ejpam-5784	7	40	linear	linear	ADJ
ejpam-5784	7	41	mathematical	mathematical	ADJ
ejpam-5784	7	42	fractional	fractional	ADJ
ejpam-5784	7	43	models	model	NOUN
ejpam-5784	7	44	.	.	PUNCT
ejpam-5784	8	1	2020	2020	NUM
ejpam-5784	8	2	mathematics	mathematic	NOUN
ejpam-5784	8	3	subject	subject	NOUN
ejpam-5784	8	4	classifications	classification	NOUN
ejpam-5784	8	5	:	:	PUNCT
ejpam-5784	8	6	34a08	34a08	NUM
ejpam-5784	8	7	,	,	PUNCT
ejpam-5784	8	8	34a25	34a25	NUM
ejpam-5784	8	9	,	,	PUNCT
ejpam-5784	8	10	34a34	34a34	NUM
ejpam-5784	8	11	,	,	PUNCT
ejpam-5784	8	12	35a20	35a20	NUM
ejpam-5784	8	13	key	key	ADJ
ejpam-5784	8	14	words	word	NOUN
ejpam-5784	8	15	and	and	CCONJ
ejpam-5784	8	16	phrases	phrase	NOUN
ejpam-5784	8	17	:	:	PUNCT
ejpam-5784	8	18	drinfeld	drinfeld	PROPN
ejpam-5784	8	19	-	-	PUNCT
ejpam-5784	8	20	sokolov	sokolov	PROPN
ejpam-5784	8	21	-	-	PUNCT
ejpam-5784	8	22	wilson	wilson	NOUN
ejpam-5784	8	23	equation	equation	NOUN
ejpam-5784	8	24	,	,	PUNCT
ejpam-5784	8	25	coupled	couple	VERB
ejpam-5784	8	26	viscous	viscous	ADJ
ejpam-5784	8	27	burgers	burger	NOUN
ejpam-5784	8	28	’	'	PUNCT
ejpam-5784	8	29	equation	equation	NOUN
ejpam-5784	8	30	,	,	PUNCT
ejpam-5784	8	31	laplace	laplace	NOUN
ejpam-5784	8	32	residual	residual	ADJ
ejpam-5784	8	33	fractional	fractional	ADJ
ejpam-5784	8	34	power	power	NOUN
ejpam-5784	8	35	series	series	NOUN
ejpam-5784	8	36	,	,	PUNCT
ejpam-5784	8	37	caputo	caputo	PROPN
ejpam-5784	8	38	fractional	fractional	PROPN
ejpam-5784	8	39	derivative	derivative	PROPN
ejpam-5784	8	40	,	,	PUNCT
ejpam-5784	8	41	laplace	laplace	NOUN
ejpam-5784	8	42	transform	transform	VERB
ejpam-5784	8	43	1	1	NUM
ejpam-5784	8	44	.	.	PUNCT
ejpam-5784	8	45	introduction	introduction	NOUN
ejpam-5784	8	46	fractional	fractional	ADJ
ejpam-5784	8	47	calculus	calculus	NOUN
ejpam-5784	8	48	(	(	PUNCT
ejpam-5784	8	49	fc	fc	X
ejpam-5784	8	50	)	)	PUNCT
ejpam-5784	8	51	theory	theory	NOUN
ejpam-5784	8	52	is	be	AUX
ejpam-5784	8	53	not	not	PART
ejpam-5784	8	54	a	a	DET
ejpam-5784	8	55	new	new	ADJ
ejpam-5784	8	56	mathematical	mathematical	ADJ
ejpam-5784	8	57	theory	theory	NOUN
ejpam-5784	8	58	,	,	PUNCT
ejpam-5784	8	59	that	that	PRON
ejpam-5784	8	60	dates	date	VERB
ejpam-5784	8	61	to	to	ADP
ejpam-5784	8	62	the	the	DET
ejpam-5784	8	63	1600s	1600s	PROPN
ejpam-5784	8	64	.	.	PUNCT
ejpam-5784	9	1	it	it	PRON
ejpam-5784	9	2	is	be	AUX
ejpam-5784	9	3	a	a	DET
ejpam-5784	9	4	branch	branch	NOUN
ejpam-5784	9	5	of	of	ADP
ejpam-5784	9	6	mathematical	mathematical	ADJ
ejpam-5784	9	7	analysis	analysis	NOUN
ejpam-5784	9	8	that	that	PRON
ejpam-5784	9	9	generalizes	generalize	VERB
ejpam-5784	9	10	the	the	DET
ejpam-5784	9	11	concepts	concept	NOUN
ejpam-5784	9	12	of	of	ADP
ejpam-5784	9	13	ordinary	ordinary	ADJ
ejpam-5784	9	14	∗corresponding	∗corresponding	NOUN
ejpam-5784	9	15	author	author	NOUN
ejpam-5784	9	16	.	.	PUNCT
ejpam-5784	10	1	doi	doi	NOUN
ejpam-5784	10	2	:	:	PUNCT
ejpam-5784	10	3	https://doi.org/10.29020/nybg.ejpam.v18i1.5784	https://doi.org/10.29020/nybg.ejpam.v18i1.5784	NOUN
ejpam-5784	10	4	email	email	NOUN
ejpam-5784	10	5	addresses	address	NOUN
ejpam-5784	10	6	:	:	PUNCT
ejpam-5784	10	7	mohammad.alaroud@yu.edu.jo	mohammad.alaroud@yu.edu.jo	NOUN
ejpam-5784	10	8	(	(	PUNCT
ejpam-5784	10	9	m.	m.	NOUN
ejpam-5784	10	10	alaroud	alaroud	PROPN
ejpam-5784	10	11	)	)	PUNCT
ejpam-5784	10	12	,	,	PUNCT
ejpam-5784	10	13	faldosari@su.edu.sa	faldosari@su.edu.sa	PROPN
ejpam-5784	10	14	(	(	PUNCT
ejpam-5784	10	15	f.	f.	PROPN
ejpam-5784	10	16	aldosari	aldosari	PROPN
ejpam-5784	10	17	)	)	PUNCT
ejpam-5784	10	18	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5784	11	1	1	1	NUM
ejpam-5784	11	2	copyright	copyright	NOUN
ejpam-5784	11	3	:	:	PUNCT
ejpam-5784	11	4	©	©	PROPN
ejpam-5784	11	5	2025	2025	NUM
ejpam-5784	11	6	the	the	DET
ejpam-5784	11	7	author(s	author(s	NOUN
ejpam-5784	11	8	)	)	PUNCT
ejpam-5784	11	9	.	.	PUNCT
ejpam-5784	12	1	(	(	PUNCT
ejpam-5784	12	2	cc	cc	NOUN
ejpam-5784	12	3	by	by	ADP
ejpam-5784	12	4	-	-	PUNCT
ejpam-5784	12	5	nc	nc	PROPN
ejpam-5784	12	6	4.0	4.0	NUM
ejpam-5784	12	7	)	)	PUNCT
ejpam-5784	12	8	m.	m.	NOUN
ejpam-5784	12	9	alaroud	alaroud	PROPN
ejpam-5784	12	10	,	,	PUNCT
ejpam-5784	12	11	f.	f.	PROPN
ejpam-5784	12	12	aldosari	aldosari	PROPN
ejpam-5784	12	13	/	/	SYM
ejpam-5784	12	14	eur	eur	PROPN
ejpam-5784	12	15	.	.	PUNCT
ejpam-5784	13	1	j.	j.	PROPN
ejpam-5784	13	2	pure	pure	PROPN
ejpam-5784	13	3	appl	appl	PROPN
ejpam-5784	13	4	.	.	PROPN
ejpam-5784	13	5	math	math	PROPN
ejpam-5784	13	6	,	,	PUNCT
ejpam-5784	13	7	18	18	NUM
ejpam-5784	13	8	(	(	PUNCT
ejpam-5784	13	9	1	1	NUM
ejpam-5784	13	10	)	)	PUNCT
ejpam-5784	13	11	(	(	PUNCT
ejpam-5784	13	12	2025	2025	NUM
ejpam-5784	13	13	)	)	PUNCT
ejpam-5784	13	14	,	,	PUNCT
ejpam-5784	13	15	5784	5784	NUM
ejpam-5784	13	16	2	2	NUM
ejpam-5784	13	17	of	of	ADP
ejpam-5784	13	18	25	25	NUM
ejpam-5784	13	19	derivatives	derivative	NOUN
ejpam-5784	13	20	and	and	CCONJ
ejpam-5784	13	21	integrals	integral	NOUN
ejpam-5784	13	22	to	to	ADP
ejpam-5784	13	23	fractional	fractional	ADJ
ejpam-5784	13	24	orders	order	NOUN
ejpam-5784	13	25	.	.	PUNCT
ejpam-5784	14	1	in	in	ADP
ejpam-5784	14	2	the	the	DET
ejpam-5784	14	3	last	last	ADJ
ejpam-5784	14	4	two	two	NUM
ejpam-5784	14	5	decades	decade	NOUN
ejpam-5784	14	6	,	,	PUNCT
ejpam-5784	14	7	fc	fc	PROPN
ejpam-5784	14	8	has	have	AUX
ejpam-5784	14	9	attained	attain	VERB
ejpam-5784	14	10	much	much	ADJ
ejpam-5784	14	11	concentration	concentration	NOUN
ejpam-5784	14	12	in	in	ADP
ejpam-5784	14	13	both	both	CCONJ
ejpam-5784	14	14	theoretical	theoretical	ADJ
ejpam-5784	14	15	and	and	CCONJ
ejpam-5784	14	16	applied	apply	VERB
ejpam-5784	14	17	sciences	science	NOUN
ejpam-5784	14	18	and	and	CCONJ
ejpam-5784	14	19	has	have	AUX
ejpam-5784	14	20	been	be	AUX
ejpam-5784	14	21	thoroughly	thoroughly	ADV
ejpam-5784	14	22	studied	study	VERB
ejpam-5784	14	23	as	as	ADP
ejpam-5784	14	24	a	a	DET
ejpam-5784	14	25	valuable	valuable	ADJ
ejpam-5784	14	26	instrument	instrument	NOUN
ejpam-5784	14	27	for	for	ADP
ejpam-5784	14	28	portraying	portray	VERB
ejpam-5784	14	29	genetic	genetic	ADJ
ejpam-5784	14	30	characteristics	characteristic	NOUN
ejpam-5784	14	31	,	,	PUNCT
ejpam-5784	14	32	memory	memory	NOUN
ejpam-5784	14	33	effects	effect	NOUN
ejpam-5784	14	34	,	,	PUNCT
ejpam-5784	14	35	and	and	CCONJ
ejpam-5784	14	36	material	material	NOUN
ejpam-5784	14	37	transfer	transfer	NOUN
ejpam-5784	14	38	processes	process	NOUN
ejpam-5784	14	39	in	in	ADP
ejpam-5784	14	40	various	various	ADJ
ejpam-5784	14	41	interconnected	interconnect	VERB
ejpam-5784	14	42	in	in	ADP
ejpam-5784	14	43	physics	physics	NOUN
ejpam-5784	14	44	,	,	PUNCT
ejpam-5784	14	45	engineering	engineering	NOUN
ejpam-5784	14	46	,	,	PUNCT
ejpam-5784	14	47	and	and	CCONJ
ejpam-5784	14	48	finance	finance	NOUN
ejpam-5784	14	49	,	,	PUNCT
ejpam-5784	14	50	including	include	VERB
ejpam-5784	14	51	wave	wave	NOUN
ejpam-5784	14	52	propagation	propagation	NOUN
ejpam-5784	14	53	,	,	PUNCT
ejpam-5784	14	54	rheology	rheology	NOUN
ejpam-5784	14	55	,	,	PUNCT
ejpam-5784	14	56	shallow	shallow	ADJ
ejpam-5784	14	57	water	water	NOUN
ejpam-5784	14	58	flow	flow	NOUN
ejpam-5784	14	59	,	,	PUNCT
ejpam-5784	14	60	bioengineering	bioengineering	NOUN
ejpam-5784	14	61	,	,	PUNCT
ejpam-5784	14	62	acoustic	acoustic	ADJ
ejpam-5784	14	63	transmission	transmission	NOUN
ejpam-5784	14	64	,	,	PUNCT
ejpam-5784	14	65	entropy	entropy	PROPN
ejpam-5784	14	66	,	,	PUNCT
ejpam-5784	14	67	thermodynamics	thermodynamic	NOUN
ejpam-5784	14	68	,	,	PUNCT
ejpam-5784	14	69	and	and	CCONJ
ejpam-5784	14	70	so	so	ADV
ejpam-5784	14	71	on	on	ADV
ejpam-5784	14	72	for	for	SCONJ
ejpam-5784	14	73	more	more	ADJ
ejpam-5784	14	74	details	detail	NOUN
ejpam-5784	14	75	see	see	VERB
ejpam-5784	14	76	[	[	X
ejpam-5784	14	77	14	14	NUM
ejpam-5784	14	78	,	,	PUNCT
ejpam-5784	14	79	29	29	NUM
ejpam-5784	14	80	,	,	PUNCT
ejpam-5784	14	81	34	34	NUM
ejpam-5784	14	82	,	,	PUNCT
ejpam-5784	14	83	35	35	NUM
ejpam-5784	14	84	,	,	PUNCT
ejpam-5784	14	85	38	38	NUM
ejpam-5784	14	86	,	,	PUNCT
ejpam-5784	14	87	40	40	NUM
ejpam-5784	14	88	]	]	PUNCT
ejpam-5784	14	89	.	.	PUNCT
ejpam-5784	15	1	the	the	DET
ejpam-5784	15	2	key	key	ADJ
ejpam-5784	15	3	characteristic	characteristic	NOUN
ejpam-5784	15	4	of	of	ADP
ejpam-5784	15	5	fc	fc	PROPN
ejpam-5784	15	6	is	be	AUX
ejpam-5784	15	7	their	their	PRON
ejpam-5784	15	8	non	non	ADJ
ejpam-5784	15	9	-	-	ADJ
ejpam-5784	15	10	local	local	ADJ
ejpam-5784	15	11	property	property	NOUN
ejpam-5784	15	12	,	,	PUNCT
ejpam-5784	15	13	which	which	PRON
ejpam-5784	15	14	emphasizes	emphasize	VERB
ejpam-5784	15	15	that	that	SCONJ
ejpam-5784	15	16	the	the	DET
ejpam-5784	15	17	future	future	ADJ
ejpam-5784	15	18	state	state	NOUN
ejpam-5784	15	19	relies	rely	VERB
ejpam-5784	15	20	on	on	ADP
ejpam-5784	15	21	both	both	CCONJ
ejpam-5784	15	22	the	the	DET
ejpam-5784	15	23	present	present	ADJ
ejpam-5784	15	24	state	state	NOUN
ejpam-5784	15	25	and	and	CCONJ
ejpam-5784	15	26	all	all	DET
ejpam-5784	15	27	previous	previous	ADJ
ejpam-5784	15	28	states	state	NOUN
ejpam-5784	15	29	,	,	PUNCT
ejpam-5784	15	30	and	and	CCONJ
ejpam-5784	15	31	hence	hence	ADV
ejpam-5784	15	32	it	it	PRON
ejpam-5784	15	33	provides	provide	VERB
ejpam-5784	15	34	a	a	DET
ejpam-5784	15	35	more	more	ADV
ejpam-5784	15	36	flexible	flexible	ADJ
ejpam-5784	15	37	approach	approach	NOUN
ejpam-5784	15	38	to	to	ADP
ejpam-5784	15	39	modeling	model	VERB
ejpam-5784	15	40	complicated	complicated	ADJ
ejpam-5784	15	41	fractional	fractional	ADJ
ejpam-5784	15	42	order	order	NOUN
ejpam-5784	15	43	systems	system	NOUN
ejpam-5784	15	44	.	.	PUNCT
ejpam-5784	16	1	in	in	ADP
ejpam-5784	16	2	contrast	contrast	NOUN
ejpam-5784	16	3	to	to	ADP
ejpam-5784	16	4	ordinary	ordinary	ADJ
ejpam-5784	16	5	calculus	calculus	NOUN
ejpam-5784	16	6	theory	theory	NOUN
ejpam-5784	16	7	,	,	PUNCT
ejpam-5784	16	8	which	which	PRON
ejpam-5784	16	9	has	have	VERB
ejpam-5784	16	10	a	a	DET
ejpam-5784	16	11	single	single	ADJ
ejpam-5784	16	12	definition	definition	NOUN
ejpam-5784	16	13	and	and	CCONJ
ejpam-5784	16	14	intelligible	intelligible	ADJ
ejpam-5784	16	15	geometric	geometric	ADJ
ejpam-5784	16	16	and	and	CCONJ
ejpam-5784	16	17	physical	physical	ADJ
ejpam-5784	16	18	explanations	explanation	NOUN
ejpam-5784	16	19	.	.	PUNCT
ejpam-5784	17	1	as	as	SCONJ
ejpam-5784	17	2	fc	fc	PROPN
ejpam-5784	17	3	theory	theory	NOUN
ejpam-5784	17	4	has	have	AUX
ejpam-5784	17	5	developed	develop	VERB
ejpam-5784	17	6	,	,	PUNCT
ejpam-5784	17	7	various	various	ADJ
ejpam-5784	17	8	operators	operator	NOUN
ejpam-5784	17	9	of	of	ADP
ejpam-5784	17	10	derivatives	derivative	NOUN
ejpam-5784	17	11	and	and	CCONJ
ejpam-5784	17	12	integrals	integral	NOUN
ejpam-5784	17	13	of	of	ADP
ejpam-5784	17	14	fractional	fractional	ADJ
ejpam-5784	17	15	orders	order	NOUN
ejpam-5784	17	16	have	have	AUX
ejpam-5784	17	17	been	be	AUX
ejpam-5784	17	18	identified	identify	VERB
ejpam-5784	17	19	in	in	ADP
ejpam-5784	17	20	the	the	DET
ejpam-5784	17	21	literature	literature	NOUN
ejpam-5784	17	22	to	to	PART
ejpam-5784	17	23	characterize	characterize	VERB
ejpam-5784	17	24	the	the	DET
ejpam-5784	17	25	behaviors	behavior	NOUN
ejpam-5784	17	26	of	of	ADP
ejpam-5784	17	27	numerous	numerous	ADJ
ejpam-5784	17	28	models	model	NOUN
ejpam-5784	17	29	structures	structure	NOUN
ejpam-5784	17	30	.	.	PUNCT
ejpam-5784	18	1	consequently	consequently	ADV
ejpam-5784	18	2	,	,	PUNCT
ejpam-5784	18	3	many	many	ADJ
ejpam-5784	18	4	researchers	researcher	NOUN
ejpam-5784	18	5	have	have	AUX
ejpam-5784	18	6	contributed	contribute	VERB
ejpam-5784	18	7	to	to	ADP
ejpam-5784	18	8	this	this	DET
ejpam-5784	18	9	field	field	NOUN
ejpam-5784	18	10	,	,	PUNCT
ejpam-5784	18	11	proposing	propose	VERB
ejpam-5784	18	12	various	various	ADJ
ejpam-5784	18	13	operators	operator	NOUN
ejpam-5784	18	14	,	,	PUNCT
ejpam-5784	18	15	including	include	VERB
ejpam-5784	18	16	those	those	PRON
ejpam-5784	18	17	of	of	ADP
ejpam-5784	18	18	caputo	caputo	PROPN
ejpam-5784	18	19	and	and	CCONJ
ejpam-5784	18	20	fabrizio	fabrizio	PROPN
ejpam-5784	18	21	,	,	PUNCT
ejpam-5784	18	22	atangana	atangana	NOUN
ejpam-5784	18	23	and	and	CCONJ
ejpam-5784	18	24	baleanu	baleanu	NOUN
ejpam-5784	18	25	,	,	PUNCT
ejpam-5784	18	26	grünwald	grünwald	ADJ
ejpam-5784	18	27	,	,	PUNCT
ejpam-5784	18	28	letnikov	letnikov	PROPN
ejpam-5784	18	29	,	,	PUNCT
ejpam-5784	18	30	riemann	riemann	PROPN
ejpam-5784	18	31	,	,	PUNCT
ejpam-5784	18	32	liouville	liouville	VERB
ejpam-5784	18	33	,	,	PUNCT
ejpam-5784	18	34	conformable	conformable	ADJ
ejpam-5784	18	35	,	,	PUNCT
ejpam-5784	18	36	riesz	riesz	NOUN
ejpam-5784	18	37	,	,	PUNCT
ejpam-5784	18	38	and	and	CCONJ
ejpam-5784	18	39	caputo	caputo	PROPN
ejpam-5784	19	1	[	[	X
ejpam-5784	19	2	12	12	NUM
ejpam-5784	19	3	,	,	PUNCT
ejpam-5784	19	4	16	16	NUM
ejpam-5784	19	5	,	,	PUNCT
ejpam-5784	19	6	17	17	NUM
ejpam-5784	19	7	,	,	PUNCT
ejpam-5784	19	8	26	26	NUM
ejpam-5784	19	9	,	,	PUNCT
ejpam-5784	19	10	39	39	NUM
ejpam-5784	19	11	,	,	PUNCT
ejpam-5784	19	12	43	43	NUM
ejpam-5784	19	13	]	]	PUNCT
ejpam-5784	19	14	.	.	PUNCT
ejpam-5784	20	1	recently	recently	ADV
ejpam-5784	20	2	,	,	PUNCT
ejpam-5784	20	3	numerous	numerous	ADJ
ejpam-5784	20	4	scientific	scientific	ADJ
ejpam-5784	20	5	studies	study	NOUN
ejpam-5784	20	6	have	have	AUX
ejpam-5784	20	7	focused	focus	VERB
ejpam-5784	20	8	on	on	ADP
ejpam-5784	20	9	addressing	address	VERB
ejpam-5784	20	10	emerging	emerge	VERB
ejpam-5784	20	11	nonlinear	nonlinear	ADJ
ejpam-5784	20	12	fractional	fractional	ADJ
ejpam-5784	20	13	models	model	NOUN
ejpam-5784	20	14	in	in	ADP
ejpam-5784	20	15	physical	physical	ADJ
ejpam-5784	20	16	systems	system	NOUN
ejpam-5784	20	17	using	use	VERB
ejpam-5784	20	18	computer	computer	NOUN
ejpam-5784	20	19	simulations	simulation	NOUN
ejpam-5784	20	20	and	and	CCONJ
ejpam-5784	20	21	symbolic	symbolic	ADJ
ejpam-5784	20	22	programming	programming	NOUN
ejpam-5784	20	23	that	that	PRON
ejpam-5784	20	24	allows	allow	VERB
ejpam-5784	20	25	researchers	researcher	NOUN
ejpam-5784	20	26	to	to	PART
ejpam-5784	20	27	model	model	VERB
ejpam-5784	20	28	the	the	DET
ejpam-5784	20	29	inherent	inherent	ADJ
ejpam-5784	20	30	memory	memory	NOUN
ejpam-5784	20	31	and	and	CCONJ
ejpam-5784	20	32	hereditary	hereditary	ADJ
ejpam-5784	20	33	properties	property	NOUN
ejpam-5784	20	34	better	well	ADV
ejpam-5784	20	35	often	often	ADV
ejpam-5784	20	36	found	find	VERB
ejpam-5784	20	37	in	in	ADP
ejpam-5784	20	38	physical	physical	ADJ
ejpam-5784	20	39	systems	system	NOUN
ejpam-5784	20	40	governed	govern	VERB
ejpam-5784	20	41	by	by	ADP
ejpam-5784	20	42	fractional	fractional	ADJ
ejpam-5784	20	43	dynamics	dynamic	NOUN
ejpam-5784	20	44	which	which	PRON
ejpam-5784	20	45	include	include	VERB
ejpam-5784	20	46	a	a	DET
ejpam-5784	20	47	set	set	NOUN
ejpam-5784	20	48	of	of	ADP
ejpam-5784	20	49	differential	differential	ADJ
ejpam-5784	20	50	equations	equation	NOUN
ejpam-5784	20	51	of	of	ADP
ejpam-5784	20	52	fractional	fractional	ADJ
ejpam-5784	20	53	orders	order	NOUN
ejpam-5784	20	54	.	.	PUNCT
ejpam-5784	21	1	by	by	ADP
ejpam-5784	21	2	these	these	DET
ejpam-5784	21	3	techniques	technique	NOUN
ejpam-5784	21	4	,	,	PUNCT
ejpam-5784	21	5	researchers	researcher	NOUN
ejpam-5784	21	6	aim	aim	VERB
ejpam-5784	21	7	to	to	PART
ejpam-5784	21	8	understand	understand	VERB
ejpam-5784	21	9	and	and	CCONJ
ejpam-5784	21	10	predict	predict	VERB
ejpam-5784	21	11	nonlinear	nonlinear	ADJ
ejpam-5784	21	12	behaviors	behavior	NOUN
ejpam-5784	21	13	with	with	ADP
ejpam-5784	21	14	greater	great	ADJ
ejpam-5784	21	15	accuracy	accuracy	NOUN
ejpam-5784	21	16	,	,	PUNCT
ejpam-5784	21	17	and	and	CCONJ
ejpam-5784	21	18	simplify	simplify	VERB
ejpam-5784	21	19	the	the	DET
ejpam-5784	21	20	derivation	derivation	NOUN
ejpam-5784	21	21	of	of	ADP
ejpam-5784	21	22	analytical	analytical	ADJ
ejpam-5784	21	23	solutions	solution	NOUN
ejpam-5784	21	24	of	of	ADP
ejpam-5784	21	25	the	the	DET
ejpam-5784	21	26	posed	pose	VERB
ejpam-5784	21	27	systems	system	NOUN
ejpam-5784	21	28	.	.	PUNCT
ejpam-5784	22	1	in	in	ADP
ejpam-5784	22	2	this	this	DET
ejpam-5784	22	3	context	context	NOUN
ejpam-5784	22	4	,	,	PUNCT
ejpam-5784	22	5	there	there	PRON
ejpam-5784	22	6	is	be	VERB
ejpam-5784	22	7	no	no	DET
ejpam-5784	22	8	standard	standard	ADJ
ejpam-5784	22	9	,	,	PUNCT
ejpam-5784	22	10	accurate	accurate	ADJ
ejpam-5784	22	11	method	method	NOUN
ejpam-5784	22	12	that	that	PRON
ejpam-5784	22	13	provides	provide	VERB
ejpam-5784	22	14	a	a	DET
ejpam-5784	22	15	closed	closed	ADJ
ejpam-5784	22	16	-	-	PUNCT
ejpam-5784	22	17	form	form	NOUN
ejpam-5784	22	18	analytical	analytical	ADJ
ejpam-5784	22	19	solution	solution	NOUN
ejpam-5784	22	20	for	for	ADP
ejpam-5784	22	21	handling	handle	VERB
ejpam-5784	22	22	nonlinear	nonlinear	ADJ
ejpam-5784	22	23	fractional	fractional	ADJ
ejpam-5784	22	24	systems	system	NOUN
ejpam-5784	22	25	.	.	PUNCT
ejpam-5784	23	1	consequently	consequently	ADV
ejpam-5784	23	2	,	,	PUNCT
ejpam-5784	23	3	there	there	PRON
ejpam-5784	23	4	is	be	VERB
ejpam-5784	23	5	a	a	DET
ejpam-5784	23	6	pressing	press	VERB
ejpam-5784	23	7	need	need	NOUN
ejpam-5784	23	8	for	for	ADP
ejpam-5784	23	9	advanced	advanced	ADJ
ejpam-5784	23	10	and	and	CCONJ
ejpam-5784	23	11	effective	effective	ADJ
ejpam-5784	23	12	methods	method	NOUN
ejpam-5784	23	13	to	to	PART
ejpam-5784	23	14	investigate	investigate	VERB
ejpam-5784	23	15	analytical	analytical	ADJ
ejpam-5784	23	16	solutions	solution	NOUN
ejpam-5784	23	17	for	for	ADP
ejpam-5784	23	18	these	these	DET
ejpam-5784	23	19	models	model	NOUN
ejpam-5784	23	20	,	,	PUNCT
ejpam-5784	23	21	which	which	PRON
ejpam-5784	23	22	motivates	motivate	VERB
ejpam-5784	23	23	us	we	PRON
ejpam-5784	23	24	to	to	PART
ejpam-5784	23	25	pursue	pursue	VERB
ejpam-5784	23	26	numerical	numerical	ADJ
ejpam-5784	23	27	solutions	solution	NOUN
ejpam-5784	23	28	.	.	PUNCT
ejpam-5784	24	1	for	for	ADP
ejpam-5784	24	2	the	the	DET
ejpam-5784	24	3	past	past	ADJ
ejpam-5784	24	4	century	century	NOUN
ejpam-5784	24	5	,	,	PUNCT
ejpam-5784	24	6	finding	find	VERB
ejpam-5784	24	7	exact	exact	ADJ
ejpam-5784	24	8	solutions	solution	NOUN
ejpam-5784	24	9	for	for	ADP
ejpam-5784	24	10	both	both	CCONJ
ejpam-5784	24	11	linear	linear	ADJ
ejpam-5784	24	12	and	and	CCONJ
ejpam-5784	24	13	nonlinear	nonlinear	ADJ
ejpam-5784	24	14	partial	partial	ADJ
ejpam-5784	24	15	differential	differential	ADJ
ejpam-5784	24	16	equations	equation	NOUN
ejpam-5784	24	17	of	of	ADP
ejpam-5784	24	18	fractional	fractional	ADJ
ejpam-5784	24	19	orders	order	NOUN
ejpam-5784	24	20	and	and	CCONJ
ejpam-5784	24	21	analyzing	analyze	VERB
ejpam-5784	24	22	them	they	PRON
ejpam-5784	24	23	has	have	AUX
ejpam-5784	24	24	been	be	AUX
ejpam-5784	24	25	a	a	DET
ejpam-5784	24	26	critical	critical	ADJ
ejpam-5784	24	27	challenge	challenge	NOUN
ejpam-5784	24	28	.	.	PUNCT
ejpam-5784	25	1	scientists	scientist	NOUN
ejpam-5784	25	2	have	have	AUX
ejpam-5784	25	3	worked	work	VERB
ejpam-5784	25	4	to	to	PART
ejpam-5784	25	5	develop	develop	VERB
ejpam-5784	25	6	and	and	CCONJ
ejpam-5784	25	7	refine	refine	VERB
ejpam-5784	25	8	new	new	ADJ
ejpam-5784	25	9	analytical	analytical	ADJ
ejpam-5784	25	10	and	and	CCONJ
ejpam-5784	25	11	numerical	numerical	ADJ
ejpam-5784	25	12	methods	method	NOUN
ejpam-5784	25	13	,	,	PUNCT
ejpam-5784	25	14	to	to	PART
ejpam-5784	25	15	tackle	tackle	VERB
ejpam-5784	25	16	these	these	DET
ejpam-5784	25	17	situations	situation	NOUN
ejpam-5784	25	18	and	and	CCONJ
ejpam-5784	25	19	to	to	PART
ejpam-5784	25	20	handle	handle	VERB
ejpam-5784	25	21	numerous	numerous	ADJ
ejpam-5784	25	22	complex	complex	ADJ
ejpam-5784	25	23	categories	category	NOUN
ejpam-5784	25	24	of	of	ADP
ejpam-5784	25	25	differential	differential	ADJ
ejpam-5784	25	26	equations	equation	NOUN
ejpam-5784	25	27	of	of	ADP
ejpam-5784	25	28	fractional	fractional	ADJ
ejpam-5784	25	29	orders	order	NOUN
ejpam-5784	25	30	appearing	appear	VERB
ejpam-5784	25	31	in	in	ADP
ejpam-5784	25	32	physics	physics	NOUN
ejpam-5784	25	33	and	and	CCONJ
ejpam-5784	25	34	applied	apply	VERB
ejpam-5784	25	35	mathematics	mathematic	NOUN
ejpam-5784	25	36	by	by	ADP
ejpam-5784	25	37	deriving	derive	VERB
ejpam-5784	25	38	analytical	analytical	ADJ
ejpam-5784	25	39	solutions	solution	NOUN
ejpam-5784	25	40	that	that	PRON
ejpam-5784	25	41	show	show	VERB
ejpam-5784	25	42	a	a	DET
ejpam-5784	25	43	high	high	ADJ
ejpam-5784	25	44	level	level	NOUN
ejpam-5784	25	45	of	of	ADP
ejpam-5784	25	46	accuracy	accuracy	NOUN
ejpam-5784	25	47	when	when	SCONJ
ejpam-5784	25	48	compared	compare	VERB
ejpam-5784	25	49	to	to	ADP
ejpam-5784	25	50	the	the	DET
ejpam-5784	25	51	exact	exact	ADJ
ejpam-5784	25	52	solutions	solution	NOUN
ejpam-5784	25	53	[	[	X
ejpam-5784	25	54	4	4	NUM
ejpam-5784	25	55	,	,	PUNCT
ejpam-5784	25	56	6	6	NUM
ejpam-5784	25	57	,	,	PUNCT
ejpam-5784	25	58	23	23	NUM
ejpam-5784	25	59	,	,	PUNCT
ejpam-5784	25	60	27	27	NUM
ejpam-5784	25	61	]	]	PUNCT
ejpam-5784	25	62	.	.	PUNCT
ejpam-5784	26	1	among	among	ADP
ejpam-5784	26	2	these	these	DET
ejpam-5784	26	3	notable	notable	ADJ
ejpam-5784	26	4	methods	method	NOUN
ejpam-5784	26	5	,	,	PUNCT
ejpam-5784	26	6	homotopy	homotopy	VERB
ejpam-5784	26	7	analysis	analysis	NOUN
ejpam-5784	26	8	method	method	NOUN
ejpam-5784	26	9	,	,	PUNCT
ejpam-5784	26	10	homotopy	homotopy	VERB
ejpam-5784	26	11	perturbation	perturbation	NOUN
ejpam-5784	26	12	method	method	NOUN
ejpam-5784	26	13	,	,	PUNCT
ejpam-5784	26	14	adomian	adomian	NOUN
ejpam-5784	26	15	decomposition	decomposition	NOUN
ejpam-5784	26	16	method	method	NOUN
ejpam-5784	26	17	,	,	PUNCT
ejpam-5784	26	18	reproducing	reproduce	VERB
ejpam-5784	26	19	kernel	kernel	NOUN
ejpam-5784	26	20	method	method	NOUN
ejpam-5784	26	21	,	,	PUNCT
ejpam-5784	26	22	shehu	shehu	NOUN
ejpam-5784	26	23	transform	transform	VERB
ejpam-5784	26	24	method	method	NOUN
ejpam-5784	26	25	,	,	PUNCT
ejpam-5784	26	26	reduced	reduce	VERB
ejpam-5784	26	27	differential	differential	NOUN
ejpam-5784	26	28	transforms	transform	VERB
ejpam-5784	26	29	method	method	NOUN
ejpam-5784	26	30	,	,	PUNCT
ejpam-5784	26	31	q	q	ADJ
ejpam-5784	26	32	-	-	PUNCT
ejpam-5784	26	33	homotopy	homotopy	NOUN
ejpam-5784	26	34	analysis	analysis	NOUN
ejpam-5784	26	35	method	method	NOUN
ejpam-5784	26	36	,	,	PUNCT
ejpam-5784	26	37	spectral	spectral	ADJ
ejpam-5784	26	38	and	and	CCONJ
ejpam-5784	26	39	collocation	collocation	NOUN
ejpam-5784	26	40	methods	method	NOUN
ejpam-5784	26	41	,	,	PUNCT
ejpam-5784	26	42	sine	sine	ADJ
ejpam-5784	26	43	-	-	PUNCT
ejpam-5784	26	44	gordon	gordon	PROPN
ejpam-5784	26	45	expansion	expansion	NOUN
ejpam-5784	26	46	method	method	NOUN
ejpam-5784	26	47	,	,	PUNCT
ejpam-5784	26	48	tanh	tanh	NOUN
ejpam-5784	26	49	-	-	PUNCT
ejpam-5784	26	50	function	function	NOUN
ejpam-5784	26	51	method	method	NOUN
ejpam-5784	26	52	,	,	PUNCT
ejpam-5784	26	53	and	and	CCONJ
ejpam-5784	26	54	fractional	fractional	ADJ
ejpam-5784	26	55	power	power	NOUN
ejpam-5784	26	56	series	series	NOUN
ejpam-5784	26	57	method	method	NOUN
ejpam-5784	26	58	,	,	PUNCT
ejpam-5784	26	59	consult	consult	VERB
ejpam-5784	26	60	[	[	X
ejpam-5784	26	61	2	2	NUM
ejpam-5784	26	62	,	,	PUNCT
ejpam-5784	26	63	8	8	NUM
ejpam-5784	26	64	,	,	PUNCT
ejpam-5784	26	65	15	15	NUM
ejpam-5784	26	66	,	,	PUNCT
ejpam-5784	26	67	24	24	NUM
ejpam-5784	26	68	,	,	PUNCT
ejpam-5784	26	69	32	32	NUM
ejpam-5784	26	70	,	,	PUNCT
ejpam-5784	26	71	37	37	NUM
ejpam-5784	26	72	,	,	PUNCT
ejpam-5784	26	73	42	42	NUM
ejpam-5784	26	74	,	,	PUNCT
ejpam-5784	26	75	48	48	NUM
ejpam-5784	26	76	]	]	PUNCT
ejpam-5784	26	77	for	for	ADP
ejpam-5784	26	78	a	a	DET
ejpam-5784	26	79	detailed	detailed	ADJ
ejpam-5784	26	80	discussion	discussion	NOUN
ejpam-5784	26	81	.	.	PUNCT
ejpam-5784	27	1	solving	solve	VERB
ejpam-5784	27	2	ordinary	ordinary	ADJ
ejpam-5784	27	3	,	,	PUNCT
ejpam-5784	27	4	partial	partial	ADJ
ejpam-5784	27	5	,	,	PUNCT
ejpam-5784	27	6	integral	integral	ADJ
ejpam-5784	27	7	,	,	PUNCT
ejpam-5784	27	8	and	and	CCONJ
ejpam-5784	27	9	integro	integro	ADJ
ejpam-5784	27	10	-	-	PUNCT
ejpam-5784	27	11	differential	differential	NOUN
ejpam-5784	27	12	equations	equation	NOUN
ejpam-5784	27	13	frequently	frequently	ADV
ejpam-5784	27	14	involves	involve	VERB
ejpam-5784	27	15	the	the	DET
ejpam-5784	27	16	use	use	NOUN
ejpam-5784	27	17	of	of	ADP
ejpam-5784	27	18	integral	integral	ADJ
ejpam-5784	27	19	transformations	transformation	NOUN
ejpam-5784	27	20	.	.	PUNCT
ejpam-5784	28	1	utilizing	utilize	VERB
ejpam-5784	28	2	these	these	DET
ejpam-5784	28	3	transformations	transformation	NOUN
ejpam-5784	28	4	enables	enable	VERB
ejpam-5784	28	5	an	an	DET
ejpam-5784	28	6	efficient	efficient	ADJ
ejpam-5784	28	7	strategyfor	strategyfor	NOUN
ejpam-5784	28	8	resolving	resolve	VERB
ejpam-5784	28	9	initial	initial	ADJ
ejpam-5784	28	10	and	and	CCONJ
ejpam-5784	28	11	boundary	boundary	ADJ
ejpam-5784	28	12	value	value	NOUN
ejpam-5784	28	13	problems	problem	NOUN
ejpam-5784	28	14	.	.	PUNCT
ejpam-5784	29	1	a	a	DET
ejpam-5784	29	2	wide	wide	ADJ
ejpam-5784	29	3	range	range	NOUN
ejpam-5784	29	4	of	of	ADP
ejpam-5784	29	5	scientists	scientist	NOUN
ejpam-5784	29	6	have	have	AUX
ejpam-5784	29	7	investigated	investigate	VERB
ejpam-5784	29	8	the	the	DET
ejpam-5784	29	9	effects	effect	NOUN
ejpam-5784	29	10	of	of	ADP
ejpam-5784	29	11	various	various	ADJ
ejpam-5784	29	12	integral	integral	ADJ
ejpam-5784	29	13	transforms	transform	NOUN
ejpam-5784	29	14	on	on	ADP
ejpam-5784	29	15	different	different	ADJ
ejpam-5784	29	16	categories	category	NOUN
ejpam-5784	29	17	of	of	ADP
ejpam-5784	29	18	differential	differential	ADJ
ejpam-5784	29	19	m.	m.	NOUN
ejpam-5784	29	20	alaroud	alaroud	PROPN
ejpam-5784	29	21	,	,	PUNCT
ejpam-5784	29	22	f.	f.	PROPN
ejpam-5784	29	23	aldosari	aldosari	PROPN
ejpam-5784	29	24	/	/	SYM
ejpam-5784	29	25	eur	eur	PROPN
ejpam-5784	29	26	.	.	PUNCT
ejpam-5784	30	1	j.	j.	PROPN
ejpam-5784	30	2	pure	pure	PROPN
ejpam-5784	30	3	appl	appl	PROPN
ejpam-5784	30	4	.	.	PROPN
ejpam-5784	30	5	math	math	PROPN
ejpam-5784	30	6	,	,	PUNCT
ejpam-5784	30	7	18	18	NUM
ejpam-5784	30	8	(	(	PUNCT
ejpam-5784	30	9	1	1	NUM
ejpam-5784	30	10	)	)	PUNCT
ejpam-5784	30	11	(	(	PUNCT
ejpam-5784	30	12	2025	2025	NUM
ejpam-5784	30	13	)	)	PUNCT
ejpam-5784	30	14	,	,	PUNCT
ejpam-5784	30	15	5784	5784	NUM
ejpam-5784	30	16	3	3	NUM
ejpam-5784	30	17	of	of	ADP
ejpam-5784	30	18	25	25	NUM
ejpam-5784	30	19	equations	equation	NOUN
ejpam-5784	30	20	[	[	X
ejpam-5784	30	21	11	11	NUM
ejpam-5784	30	22	,	,	PUNCT
ejpam-5784	30	23	33	33	NUM
ejpam-5784	30	24	,	,	PUNCT
ejpam-5784	30	25	47].the	47].the	PROPN
ejpam-5784	30	26	literature	literature	NOUN
ejpam-5784	30	27	documents	document	VERB
ejpam-5784	30	28	a	a	DET
ejpam-5784	30	29	wide	wide	ADJ
ejpam-5784	30	30	range	range	NOUN
ejpam-5784	30	31	of	of	ADP
ejpam-5784	30	32	integral	integral	ADJ
ejpam-5784	30	33	transformations	transformation	NOUN
ejpam-5784	30	34	.	.	PUNCT
ejpam-5784	31	1	one	one	NUM
ejpam-5784	31	2	of	of	ADP
ejpam-5784	31	3	the	the	DET
ejpam-5784	31	4	most	most	ADV
ejpam-5784	31	5	common	common	ADJ
ejpam-5784	31	6	is	be	AUX
ejpam-5784	31	7	the	the	DET
ejpam-5784	31	8	laplace	laplace	NOUN
ejpam-5784	31	9	transformation	transformation	NOUN
ejpam-5784	31	10	(	(	PUNCT
ejpam-5784	31	11	lt	lt	NOUN
ejpam-5784	31	12	)	)	PUNCT
ejpam-5784	31	13	operator	operator	NOUN
ejpam-5784	31	14	which	which	PRON
ejpam-5784	31	15	is	be	AUX
ejpam-5784	31	16	a	a	DET
ejpam-5784	31	17	crucial	crucial	ADJ
ejpam-5784	31	18	mathematical	mathematical	ADJ
ejpam-5784	31	19	tool	tool	NOUN
ejpam-5784	31	20	used	use	VERB
ejpam-5784	31	21	to	to	PART
ejpam-5784	31	22	tackle	tackle	VERB
ejpam-5784	31	23	problems	problem	NOUN
ejpam-5784	31	24	involving	involve	VERB
ejpam-5784	31	25	differential	differential	ADJ
ejpam-5784	31	26	equations	equation	NOUN
ejpam-5784	31	27	by	by	ADP
ejpam-5784	31	28	altering	alter	VERB
ejpam-5784	31	29	them	they	PRON
ejpam-5784	31	30	from	from	ADP
ejpam-5784	31	31	one	one	NUM
ejpam-5784	31	32	shape	shape	NOUN
ejpam-5784	31	33	to	to	ADP
ejpam-5784	31	34	another	another	PRON
ejpam-5784	31	35	.	.	PUNCT
ejpam-5784	32	1	overall	overall	ADV
ejpam-5784	32	2	,	,	PUNCT
ejpam-5784	32	3	it	it	PRON
ejpam-5784	32	4	is	be	AUX
ejpam-5784	32	5	influential	influential	ADJ
ejpam-5784	32	6	in	in	ADP
ejpam-5784	32	7	resolving	resolve	VERB
ejpam-5784	32	8	ordinary	ordinary	ADJ
ejpam-5784	32	9	or	or	CCONJ
ejpam-5784	32	10	partial	partial	ADJ
ejpam-5784	32	11	des	des	X
ejpam-5784	32	12	via	via	ADP
ejpam-5784	32	13	reducing	reduce	VERB
ejpam-5784	32	14	a	a	DET
ejpam-5784	32	15	target	target	NOUN
ejpam-5784	32	16	de	de	NOUN
ejpam-5784	32	17	into	into	ADP
ejpam-5784	32	18	a	a	DET
ejpam-5784	32	19	system	system	NOUN
ejpam-5784	32	20	of	of	ADP
ejpam-5784	32	21	algebraic	algebraic	ADJ
ejpam-5784	32	22	equations	equation	NOUN
ejpam-5784	32	23	.	.	PUNCT
ejpam-5784	33	1	the	the	DET
ejpam-5784	33	2	residual	residual	ADJ
ejpam-5784	33	3	fractional	fractional	ADJ
ejpam-5784	33	4	power	power	NOUN
ejpam-5784	33	5	series	series	NOUN
ejpam-5784	33	6	(	(	PUNCT
ejpam-5784	33	7	rfps	rfps	NOUN
ejpam-5784	33	8	)	)	PUNCT
ejpam-5784	33	9	technique	technique	NOUN
ejpam-5784	33	10	is	be	AUX
ejpam-5784	33	11	a	a	DET
ejpam-5784	33	12	highly	highly	ADV
ejpam-5784	33	13	effective	effective	ADJ
ejpam-5784	33	14	iterative	iterative	ADJ
ejpam-5784	33	15	computational	computational	ADJ
ejpam-5784	33	16	algorithm	algorithm	NOUN
ejpam-5784	33	17	specifically	specifically	ADV
ejpam-5784	33	18	layouts	layout	VERB
ejpam-5784	33	19	to	to	PART
ejpam-5784	33	20	generate	generate	VERB
ejpam-5784	33	21	analytical	analytical	ADJ
ejpam-5784	33	22	-	-	PUNCT
ejpam-5784	33	23	approximate	approximate	ADJ
ejpam-5784	33	24	solutions	solution	NOUN
ejpam-5784	33	25	of	of	ADP
ejpam-5784	33	26	sophisticated	sophisticated	ADJ
ejpam-5784	33	27	nonlinear	nonlinear	ADJ
ejpam-5784	33	28	fractional	fractional	ADJ
ejpam-5784	33	29	orders	order	NOUN
ejpam-5784	33	30	partial	partial	ADJ
ejpam-5784	33	31	des	des	X
ejpam-5784	33	32	occurring	occur	VERB
ejpam-5784	33	33	in	in	ADP
ejpam-5784	33	34	physics	physics	NOUN
ejpam-5784	33	35	,	,	PUNCT
ejpam-5784	33	36	engineering	engineering	NOUN
ejpam-5784	33	37	,	,	PUNCT
ejpam-5784	33	38	and	and	CCONJ
ejpam-5784	33	39	technology	technology	NOUN
ejpam-5784	33	40	,	,	PUNCT
ejpam-5784	33	41	which	which	PRON
ejpam-5784	33	42	is	be	AUX
ejpam-5784	33	43	based	base	VERB
ejpam-5784	33	44	on	on	ADP
ejpam-5784	33	45	combining	combine	VERB
ejpam-5784	33	46	fractional	fractional	ADJ
ejpam-5784	33	47	-	-	PUNCT
ejpam-5784	33	48	residual	residual	ADJ
ejpam-5784	33	49	function	function	NOUN
ejpam-5784	33	50	with	with	ADP
ejpam-5784	33	51	generalizing	generalizing	NOUN
ejpam-5784	33	52	of	of	ADP
ejpam-5784	33	53	taylor	taylor	NOUN
ejpam-5784	33	54	expansion	expansion	NOUN
ejpam-5784	33	55	for	for	ADP
ejpam-5784	33	56	an	an	DET
ejpam-5784	33	57	arbitrary	arbitrary	ADJ
ejpam-5784	33	58	order	order	NOUN
ejpam-5784	33	59	.	.	PUNCT
ejpam-5784	34	1	this	this	DET
ejpam-5784	34	2	approach	approach	NOUN
ejpam-5784	34	3	was	be	AUX
ejpam-5784	34	4	applied	apply	VERB
ejpam-5784	34	5	to	to	PART
ejpam-5784	34	6	view	view	VERB
ejpam-5784	34	7	the	the	DET
ejpam-5784	34	8	approximation	approximation	NOUN
ejpam-5784	34	9	solution	solution	NOUN
ejpam-5784	34	10	in	in	ADP
ejpam-5784	34	11	convergent	convergent	NOUN
ejpam-5784	34	12	series	series	NOUN
ejpam-5784	34	13	expansion	expansion	NOUN
ejpam-5784	34	14	for	for	ADP
ejpam-5784	34	15	both	both	DET
ejpam-5784	34	16	non	non	ADJ
ejpam-5784	34	17	-	-	ADJ
ejpam-5784	34	18	linear	linear	ADJ
ejpam-5784	34	19	and	and	CCONJ
ejpam-5784	34	20	linear	linear	ADJ
ejpam-5784	34	21	ordinary	ordinary	ADJ
ejpam-5784	34	22	des	des	PROPN
ejpam-5784	34	23	and	and	CCONJ
ejpam-5784	34	24	fractional	fractional	ADJ
ejpam-5784	34	25	-	-	PUNCT
ejpam-5784	34	26	order	order	NOUN
ejpam-5784	34	27	des	des	PROPN
ejpam-5784	34	28	.	.	PROPN
ejpam-5784	34	29	further	further	ADJ
ejpam-5784	34	30	improvements	improvement	NOUN
ejpam-5784	34	31	were	be	AUX
ejpam-5784	34	32	made	make	VERB
ejpam-5784	34	33	to	to	ADP
ejpam-5784	34	34	the	the	DET
ejpam-5784	34	35	rfps	rfps	PROPN
ejpam-5784	34	36	approach	approach	NOUN
ejpam-5784	34	37	and	and	CCONJ
ejpam-5784	34	38	has	have	AUX
ejpam-5784	34	39	been	be	AUX
ejpam-5784	34	40	applied	apply	VERB
ejpam-5784	34	41	in	in	ADP
ejpam-5784	34	42	a	a	DET
ejpam-5784	34	43	variety	variety	NOUN
ejpam-5784	34	44	of	of	ADP
ejpam-5784	34	45	physical	physical	ADJ
ejpam-5784	34	46	applications	application	NOUN
ejpam-5784	34	47	where	where	SCONJ
ejpam-5784	34	48	many	many	ADJ
ejpam-5784	34	49	works	work	NOUN
ejpam-5784	34	50	have	have	AUX
ejpam-5784	34	51	been	be	AUX
ejpam-5784	34	52	published	publish	VERB
ejpam-5784	34	53	[	[	PUNCT
ejpam-5784	34	54	3	3	NUM
ejpam-5784	34	55	,	,	PUNCT
ejpam-5784	34	56	7	7	NUM
ejpam-5784	34	57	,	,	PUNCT
ejpam-5784	34	58	28	28	NUM
ejpam-5784	34	59	,	,	PUNCT
ejpam-5784	34	60	30	30	NUM
ejpam-5784	34	61	,	,	PUNCT
ejpam-5784	34	62	31].in	31].in	NUM
ejpam-5784	35	1	[	[	X
ejpam-5784	35	2	3	3	NUM
ejpam-5784	35	3	]	]	PUNCT
ejpam-5784	35	4	,	,	PUNCT
ejpam-5784	35	5	the	the	DET
ejpam-5784	35	6	rfps	rfps	PROPN
ejpam-5784	35	7	technique	technique	NOUN
ejpam-5784	35	8	is	be	AUX
ejpam-5784	35	9	introduced	introduce	VERB
ejpam-5784	35	10	to	to	PART
ejpam-5784	35	11	predict	predict	VERB
ejpam-5784	35	12	multivariable	multivariable	ADJ
ejpam-5784	35	13	power	power	NOUN
ejpam-5784	35	14	series	series	PROPN
ejpam-5784	35	15	solutions	solution	NOUN
ejpam-5784	35	16	for	for	ADP
ejpam-5784	35	17	seventh	seventh	ADJ
ejpam-5784	35	18	-	-	PUNCT
ejpam-5784	35	19	order	order	NOUN
ejpam-5784	35	20	,	,	PUNCT
ejpam-5784	35	21	nonlinear	nonlinear	ADJ
ejpam-5784	35	22	fractional	fractional	ADJ
ejpam-5784	35	23	-	-	PUNCT
ejpam-5784	35	24	order	order	NOUN
ejpam-5784	35	25	partial	partial	ADJ
ejpam-5784	35	26	des	de	NOUN
ejpam-5784	35	27	in	in	ADP
ejpam-5784	35	28	the	the	DET
ejpam-5784	35	29	meaning	meaning	NOUN
ejpam-5784	35	30	of	of	ADP
ejpam-5784	35	31	conformable	conformable	ADJ
ejpam-5784	35	32	fd	fd	PROPN
ejpam-5784	35	33	.	.	PUNCT
ejpam-5784	36	1	using	use	VERB
ejpam-5784	36	2	a	a	DET
ejpam-5784	36	3	fuzzy	fuzzy	ADJ
ejpam-5784	36	4	rfps	rfps	NOUN
ejpam-5784	36	5	method	method	NOUN
ejpam-5784	36	6	[	[	X
ejpam-5784	36	7	7	7	NUM
ejpam-5784	36	8	]	]	PUNCT
ejpam-5784	36	9	,	,	PUNCT
ejpam-5784	36	10	the	the	DET
ejpam-5784	36	11	exact	exact	ADJ
ejpam-5784	36	12	and	and	CCONJ
ejpam-5784	36	13	approximation	approximation	NOUN
ejpam-5784	36	14	solutions	solution	NOUN
ejpam-5784	36	15	are	be	AUX
ejpam-5784	36	16	derived	derive	VERB
ejpam-5784	36	17	for	for	ADP
ejpam-5784	36	18	a	a	DET
ejpam-5784	36	19	certain	certain	ADJ
ejpam-5784	36	20	class	class	NOUN
ejpam-5784	36	21	of	of	ADP
ejpam-5784	36	22	fuzzy	fuzzy	ADJ
ejpam-5784	36	23	initial	initial	ADJ
ejpam-5784	36	24	value	value	NOUN
ejpam-5784	36	25	problems	problem	NOUN
ejpam-5784	36	26	of	of	ADP
ejpam-5784	36	27	fractional	fractional	ADJ
ejpam-5784	36	28	order	order	NOUN
ejpam-5784	36	29	.	.	PUNCT
ejpam-5784	37	1	khalouta	khalouta	ADJ
ejpam-5784	37	2	and	and	CCONJ
ejpam-5784	37	3	kadem	kadem	PROPN
ejpam-5784	38	1	[	[	X
ejpam-5784	38	2	28	28	NUM
ejpam-5784	38	3	]	]	PUNCT
ejpam-5784	38	4	proposed	propose	VERB
ejpam-5784	38	5	the	the	DET
ejpam-5784	38	6	rfps	rfps	PROPN
ejpam-5784	38	7	technique	technique	NOUN
ejpam-5784	38	8	for	for	ADP
ejpam-5784	38	9	obtaining	obtain	VERB
ejpam-5784	38	10	the	the	DET
ejpam-5784	38	11	approximate	approximate	ADJ
ejpam-5784	38	12	analytical	analytical	ADJ
ejpam-5784	38	13	solutions	solution	NOUN
ejpam-5784	38	14	of	of	ADP
ejpam-5784	38	15	nonlinear	nonlinear	ADJ
ejpam-5784	38	16	time	time	NOUN
ejpam-5784	38	17	-	-	PUNCT
ejpam-5784	38	18	fractional	fractional	ADJ
ejpam-5784	38	19	wave	wave	NOUN
ejpam-5784	38	20	-	-	PUNCT
ejpam-5784	38	21	like	like	ADJ
ejpam-5784	38	22	equations	equation	NOUN
ejpam-5784	38	23	with	with	ADP
ejpam-5784	38	24	variable	variable	ADJ
ejpam-5784	38	25	coefficients	coefficient	NOUN
ejpam-5784	38	26	in	in	ADP
ejpam-5784	38	27	the	the	DET
ejpam-5784	38	28	sense	sense	NOUN
ejpam-5784	38	29	of	of	ADP
ejpam-5784	38	30	caputo	caputo	PROPN
ejpam-5784	38	31	-	-	PUNCT
ejpam-5784	38	32	fd	fd	PROPN
ejpam-5784	38	33	.	.	PUNCT
ejpam-5784	39	1	kumar	kumar	PROPN
ejpam-5784	39	2	et	et	PROPN
ejpam-5784	39	3	al	al	PROPN
ejpam-5784	39	4	.	.	PUNCT
ejpam-5784	40	1	[	[	X
ejpam-5784	40	2	31	31	NUM
ejpam-5784	40	3	]	]	PUNCT
ejpam-5784	40	4	implemented	implement	VERB
ejpam-5784	40	5	a	a	DET
ejpam-5784	40	6	new	new	ADJ
ejpam-5784	40	7	technique	technique	NOUN
ejpam-5784	40	8	based	base	VERB
ejpam-5784	40	9	on	on	ADP
ejpam-5784	40	10	the	the	DET
ejpam-5784	40	11	generalized	generalize	VERB
ejpam-5784	40	12	taylor	taylor	PROPN
ejpam-5784	40	13	’s	’s	PART
ejpam-5784	40	14	series	series	PROPN
ejpam-5784	40	15	formula	formula	NOUN
ejpam-5784	40	16	to	to	PART
ejpam-5784	40	17	find	find	VERB
ejpam-5784	40	18	the	the	DET
ejpam-5784	40	19	approximate	approximate	ADJ
ejpam-5784	40	20	analytical	analytical	ADJ
ejpam-5784	40	21	solution	solution	NOUN
ejpam-5784	40	22	of	of	ADP
ejpam-5784	40	23	time	time	NOUN
ejpam-5784	40	24	-	-	PUNCT
ejpam-5784	40	25	fractional	fractional	ADJ
ejpam-5784	40	26	diffusion	diffusion	NOUN
ejpam-5784	40	27	equations.the	equations.the	DET
ejpam-5784	40	28	fractional	fractional	PROPN
ejpam-5784	40	29	diffusion	diffusion	NOUN
ejpam-5784	40	30	model	model	NOUN
ejpam-5784	40	31	is	be	AUX
ejpam-5784	40	32	investigated	investigate	VERB
ejpam-5784	40	33	using	use	VERB
ejpam-5784	40	34	estimated	estimate	VERB
ejpam-5784	40	35	time	time	NOUN
ejpam-5784	40	36	and	and	CCONJ
ejpam-5784	40	37	spatial	spatial	ADJ
ejpam-5784	40	38	dependency	dependency	NOUN
ejpam-5784	40	39	of	of	ADP
ejpam-5784	40	40	the	the	DET
ejpam-5784	40	41	concentration	concentration	NOUN
ejpam-5784	40	42	of	of	ADP
ejpam-5784	40	43	tumor	tumor	NOUN
ejpam-5784	40	44	cells	cell	NOUN
ejpam-5784	40	45	in	in	ADP
ejpam-5784	40	46	the	the	DET
ejpam-5784	40	47	framework	framework	NOUN
ejpam-5784	40	48	of	of	ADP
ejpam-5784	40	49	the	the	DET
ejpam-5784	40	50	rfps	rfps	PROPN
ejpam-5784	40	51	principle	principle	NOUN
ejpam-5784	40	52	.	.	PUNCT
ejpam-5784	41	1	[	[	X
ejpam-5784	41	2	30	30	NUM
ejpam-5784	41	3	]	]	X
ejpam-5784	41	4	real	real	ADJ
ejpam-5784	41	5	-	-	PUNCT
ejpam-5784	41	6	world	world	NOUN
ejpam-5784	41	7	problems	problem	NOUN
ejpam-5784	41	8	can	can	AUX
ejpam-5784	41	9	be	be	AUX
ejpam-5784	41	10	thoroughly	thoroughly	ADV
ejpam-5784	41	11	depicted	depict	VERB
ejpam-5784	41	12	theoretically	theoretically	ADV
ejpam-5784	41	13	using	use	VERB
ejpam-5784	41	14	ordinary	ordinary	ADJ
ejpam-5784	41	15	or	or	CCONJ
ejpam-5784	41	16	fractional	fractional	ADJ
ejpam-5784	41	17	order	order	NOUN
ejpam-5784	41	18	partial	partial	ADJ
ejpam-5784	41	19	des	des	PROPN
ejpam-5784	41	20	,	,	PUNCT
ejpam-5784	41	21	which	which	PRON
ejpam-5784	41	22	are	be	AUX
ejpam-5784	41	23	inherently	inherently	ADV
ejpam-5784	41	24	influenced	influence	VERB
ejpam-5784	41	25	by	by	ADP
ejpam-5784	41	26	numerous	numerous	ADJ
ejpam-5784	41	27	external	external	ADJ
ejpam-5784	41	28	forces	force	NOUN
ejpam-5784	41	29	that	that	PRON
ejpam-5784	41	30	make	make	VERB
ejpam-5784	41	31	their	their	PRON
ejpam-5784	41	32	behavior	behavior	NOUN
ejpam-5784	41	33	more	more	ADV
ejpam-5784	41	34	complex	complex	ADJ
ejpam-5784	41	35	and	and	CCONJ
ejpam-5784	41	36	unpredictable	unpredictable	ADJ
ejpam-5784	41	37	.	.	PUNCT
ejpam-5784	42	1	therefore	therefore	ADV
ejpam-5784	42	2	,	,	PUNCT
ejpam-5784	42	3	the	the	DET
ejpam-5784	42	4	most	most	ADV
ejpam-5784	42	5	effective	effective	ADJ
ejpam-5784	42	6	way	way	NOUN
ejpam-5784	42	7	to	to	PART
ejpam-5784	42	8	handle	handle	VERB
ejpam-5784	42	9	such	such	ADJ
ejpam-5784	42	10	circumstances	circumstance	NOUN
ejpam-5784	42	11	is	be	AUX
ejpam-5784	42	12	to	to	PART
ejpam-5784	42	13	examine	examine	VERB
ejpam-5784	42	14	these	these	DET
ejpam-5784	42	15	problems	problem	NOUN
ejpam-5784	42	16	by	by	ADP
ejpam-5784	42	17	numerical	numerical	ADJ
ejpam-5784	42	18	approximations	approximation	NOUN
ejpam-5784	42	19	to	to	PART
ejpam-5784	42	20	attain	attain	VERB
ejpam-5784	42	21	the	the	DET
ejpam-5784	42	22	model	model	NOUN
ejpam-5784	42	23	that	that	PRON
ejpam-5784	42	24	provides	provide	VERB
ejpam-5784	42	25	an	an	DET
ejpam-5784	42	26	acceptable	acceptable	ADJ
ejpam-5784	42	27	solution	solution	NOUN
ejpam-5784	42	28	.	.	PUNCT
ejpam-5784	43	1	mostly	mostly	ADV
ejpam-5784	43	2	,	,	PUNCT
ejpam-5784	43	3	there	there	PRON
ejpam-5784	43	4	is	be	VERB
ejpam-5784	43	5	no	no	DET
ejpam-5784	43	6	conventional	conventional	ADJ
ejpam-5784	43	7	technique	technique	NOUN
ejpam-5784	43	8	that	that	PRON
ejpam-5784	43	9	generates	generate	VERB
ejpam-5784	43	10	an	an	DET
ejpam-5784	43	11	analytical	analytical	ADJ
ejpam-5784	43	12	solution	solution	NOUN
ejpam-5784	43	13	or	or	CCONJ
ejpam-5784	43	14	closed	closed	ADJ
ejpam-5784	43	15	-	-	PUNCT
ejpam-5784	43	16	form	form	NOUN
ejpam-5784	43	17	traveling	travel	VERB
ejpam-5784	43	18	wave	wave	NOUN
ejpam-5784	43	19	solutions	solution	NOUN
ejpam-5784	43	20	for	for	ADP
ejpam-5784	43	21	nonlinear	nonlinear	ADJ
ejpam-5784	43	22	partial	partial	ADJ
ejpam-5784	43	23	des	de	NOUN
ejpam-5784	43	24	of	of	ADP
ejpam-5784	43	25	fractional	fractional	ADJ
ejpam-5784	43	26	order	order	NOUN
ejpam-5784	43	27	.	.	PUNCT
ejpam-5784	44	1	therefore	therefore	ADV
ejpam-5784	44	2	,	,	PUNCT
ejpam-5784	44	3	it	it	PRON
ejpam-5784	44	4	is	be	AUX
ejpam-5784	44	5	imperative	imperative	ADJ
ejpam-5784	44	6	to	to	PART
ejpam-5784	44	7	investigate	investigate	VERB
ejpam-5784	44	8	analytical	analytical	ADJ
ejpam-5784	44	9	and	and	CCONJ
ejpam-5784	44	10	numerical	numerical	ADJ
ejpam-5784	44	11	solutions	solution	NOUN
ejpam-5784	44	12	to	to	ADP
ejpam-5784	44	13	these	these	DET
ejpam-5784	44	14	equations	equation	NOUN
ejpam-5784	44	15	using	use	VERB
ejpam-5784	44	16	the	the	DET
ejpam-5784	44	17	newest	new	ADJ
ejpam-5784	44	18	,	,	PUNCT
ejpam-5784	44	19	dependable	dependable	ADJ
ejpam-5784	44	20	,	,	PUNCT
ejpam-5784	44	21	and	and	CCONJ
ejpam-5784	44	22	advanced	advanced	ADJ
ejpam-5784	44	23	methods	method	NOUN
ejpam-5784	44	24	.	.	PUNCT
ejpam-5784	45	1	instigated	instigate	VERB
ejpam-5784	45	2	by	by	ADP
ejpam-5784	45	3	the	the	DET
ejpam-5784	45	4	arguments	argument	NOUN
ejpam-5784	45	5	expressed	express	VERB
ejpam-5784	45	6	before	before	ADV
ejpam-5784	45	7	,	,	PUNCT
ejpam-5784	45	8	the	the	DET
ejpam-5784	45	9	inspiration	inspiration	NOUN
ejpam-5784	45	10	for	for	ADP
ejpam-5784	45	11	this	this	DET
ejpam-5784	45	12	analysis	analysis	NOUN
ejpam-5784	45	13	is	be	AUX
ejpam-5784	45	14	to	to	PART
ejpam-5784	45	15	design	design	VERB
ejpam-5784	45	16	and	and	CCONJ
ejpam-5784	45	17	apply	apply	VERB
ejpam-5784	45	18	an	an	DET
ejpam-5784	45	19	advanced	advanced	ADJ
ejpam-5784	45	20	analytical	analytical	ADJ
ejpam-5784	45	21	method	method	NOUN
ejpam-5784	45	22	based	base	VERB
ejpam-5784	45	23	on	on	ADP
ejpam-5784	45	24	two	two	NUM
ejpam-5784	45	25	distinguished	distinguished	ADJ
ejpam-5784	45	26	methodologies	methodology	NOUN
ejpam-5784	45	27	rfps	rfps	PROPN
ejpam-5784	45	28	algorithm	algorithm	PROPN
ejpam-5784	45	29	and	and	CCONJ
ejpam-5784	45	30	lt	lt	DET
ejpam-5784	45	31	instrument	instrument	NOUN
ejpam-5784	45	32	,	,	PUNCT
ejpam-5784	45	33	so	so	ADV
ejpam-5784	45	34	-	-	PUNCT
ejpam-5784	45	35	called	call	VERB
ejpam-5784	45	36	lt	lt	PROPN
ejpam-5784	45	37	-	-	PUNCT
ejpam-5784	45	38	rfps	rfps	PROPN
ejpam-5784	45	39	method	method	NOUN
ejpam-5784	45	40	.	.	PUNCT
ejpam-5784	46	1	it	it	PRON
ejpam-5784	46	2	was	be	AUX
ejpam-5784	46	3	proposed	propose	VERB
ejpam-5784	46	4	by	by	ADP
ejpam-5784	46	5	el	el	PROPN
ejpam-5784	46	6	-	-	PROPN
ejpam-5784	46	7	ajou	ajou	PROPN
ejpam-5784	47	1	[	[	X
ejpam-5784	47	2	19]and	19]and	NOUN
ejpam-5784	47	3	proven	prove	VERB
ejpam-5784	47	4	as	as	ADP
ejpam-5784	47	5	a	a	DET
ejpam-5784	47	6	superb	superb	ADJ
ejpam-5784	47	7	attractive	attractive	ADJ
ejpam-5784	47	8	mathematical	mathematical	ADJ
ejpam-5784	47	9	tool	tool	NOUN
ejpam-5784	47	10	for	for	ADP
ejpam-5784	47	11	enhancing	enhance	VERB
ejpam-5784	47	12	the	the	DET
ejpam-5784	47	13	performance	performance	NOUN
ejpam-5784	47	14	of	of	ADP
ejpam-5784	47	15	the	the	DET
ejpam-5784	47	16	rfps	rfps	PROPN
ejpam-5784	47	17	algorithm	algorithm	NOUN
ejpam-5784	47	18	for	for	ADP
ejpam-5784	47	19	constructing	construct	VERB
ejpam-5784	47	20	exact	exact	ADJ
ejpam-5784	47	21	solitary	solitary	ADJ
ejpam-5784	47	22	solutions	solution	NOUN
ejpam-5784	47	23	to	to	ADP
ejpam-5784	47	24	the	the	DET
ejpam-5784	47	25	nonlinear	nonlinear	ADJ
ejpam-5784	47	26	time	time	NOUN
ejpam-5784	47	27	-	-	PUNCT
ejpam-5784	47	28	fractional	fractional	ADJ
ejpam-5784	47	29	dispersive	dispersive	ADJ
ejpam-5784	47	30	pdes	pde	NOUN
ejpam-5784	47	31	straightforwardly	straightforwardly	ADV
ejpam-5784	47	32	and	and	CCONJ
ejpam-5784	47	33	effectively	effectively	ADV
ejpam-5784	47	34	.	.	PUNCT
ejpam-5784	48	1	it	it	PRON
ejpam-5784	48	2	has	have	AUX
ejpam-5784	48	3	applied	apply	VERB
ejpam-5784	48	4	to	to	ADP
ejpam-5784	48	5	a	a	DET
ejpam-5784	48	6	wide	wide	ADJ
ejpam-5784	48	7	range	range	NOUN
ejpam-5784	48	8	of	of	ADP
ejpam-5784	48	9	problems	problem	NOUN
ejpam-5784	48	10	,	,	PUNCT
ejpam-5784	48	11	including	include	VERB
ejpam-5784	48	12	des	des	PROPN
ejpam-5784	48	13	,	,	PUNCT
ejpam-5784	48	14	pdes	pde	NOUN
ejpam-5784	48	15	of	of	ADP
ejpam-5784	48	16	fractional	fractional	ADJ
ejpam-5784	48	17	order	order	NOUN
ejpam-5784	48	18	[	[	X
ejpam-5784	48	19	5	5	NUM
ejpam-5784	48	20	,	,	PUNCT
ejpam-5784	48	21	20	20	NUM
ejpam-5784	48	22	,	,	PUNCT
ejpam-5784	48	23	21	21	NUM
ejpam-5784	48	24	]	]	PUNCT
ejpam-5784	48	25	.	.	PUNCT
ejpam-5784	49	1	in	in	ADP
ejpam-5784	49	2	[	[	X
ejpam-5784	49	3	21	21	NUM
ejpam-5784	49	4	]	]	PUNCT
ejpam-5784	49	5	both	both	CCONJ
ejpam-5784	49	6	linear	linear	ADJ
ejpam-5784	49	7	and	and	CCONJ
ejpam-5784	49	8	nonlinear	nonlinear	ADJ
ejpam-5784	49	9	neutral	neutral	ADJ
ejpam-5784	49	10	caputo	caputo	PROPN
ejpam-5784	49	11	-	-	PUNCT
ejpam-5784	49	12	fractional	fractional	PROPN
ejpam-5784	49	13	pantograph	pantograph	NOUN
ejpam-5784	49	14	differential	differential	NOUN
ejpam-5784	49	15	equations	equation	NOUN
ejpam-5784	49	16	have	have	AUX
ejpam-5784	49	17	been	be	AUX
ejpam-5784	49	18	considered	consider	VERB
ejpam-5784	49	19	to	to	PART
ejpam-5784	49	20	create	create	VERB
ejpam-5784	49	21	exact	exact	ADJ
ejpam-5784	49	22	and	and	CCONJ
ejpam-5784	49	23	approximate	approximate	ADJ
ejpam-5784	49	24	series	series	NOUN
ejpam-5784	49	25	solutions	solution	NOUN
ejpam-5784	49	26	using	use	VERB
ejpam-5784	49	27	the	the	DET
ejpam-5784	49	28	lt	lt	PROPN
ejpam-5784	49	29	-	-	PUNCT
ejpam-5784	49	30	rfps	rfps	PROPN
ejpam-5784	49	31	method	method	NOUN
ejpam-5784	49	32	.	.	PUNCT
ejpam-5784	50	1	utilizing	utilize	VERB
ejpam-5784	50	2	the	the	DET
ejpam-5784	50	3	lt	lt	PROPN
ejpam-5784	50	4	-	-	PUNCT
ejpam-5784	50	5	rfps	rfps	NOUN
ejpam-5784	50	6	[	[	X
ejpam-5784	50	7	5	5	NUM
ejpam-5784	50	8	]	]	PUNCT
ejpam-5784	50	9	different	different	ADJ
ejpam-5784	50	10	systems	system	NOUN
ejpam-5784	50	11	of	of	ADP
ejpam-5784	50	12	linear	linear	PROPN
ejpam-5784	50	13	and	and	CCONJ
ejpam-5784	50	14	non	non	ADJ
ejpam-5784	50	15	-	-	ADJ
ejpam-5784	50	16	linear	linear	ADJ
ejpam-5784	50	17	fractional	fractional	ADJ
ejpam-5784	50	18	initial	initial	ADJ
ejpam-5784	50	19	value	value	NOUN
ejpam-5784	50	20	problems	problem	NOUN
ejpam-5784	50	21	are	be	AUX
ejpam-5784	50	22	solved	solve	VERB
ejpam-5784	50	23	analytically	analytically	ADV
ejpam-5784	50	24	.	.	PUNCT
ejpam-5784	51	1	el	el	NOUN
ejpam-5784	51	2	-	-	PUNCT
ejpam-5784	51	3	ajou	ajou	PROPN
ejpam-5784	51	4	and	and	CCONJ
ejpam-5784	51	5	al	al	PROPN
ejpam-5784	51	6	-	-	PUNCT
ejpam-5784	51	7	zhou	zhou	PROPN
ejpam-5784	52	1	[	[	X
ejpam-5784	52	2	20	20	NUM
ejpam-5784	52	3	]	]	PUNCT
ejpam-5784	52	4	have	have	AUX
ejpam-5784	52	5	applied	apply	VERB
ejpam-5784	52	6	the	the	DET
ejpam-5784	52	7	m.	m.	NOUN
ejpam-5784	52	8	alaroud	alaroud	PROPN
ejpam-5784	52	9	,	,	PUNCT
ejpam-5784	52	10	f.	f.	PROPN
ejpam-5784	52	11	aldosari	aldosari	PROPN
ejpam-5784	52	12	/	/	SYM
ejpam-5784	52	13	eur	eur	PROPN
ejpam-5784	52	14	.	.	PUNCT
ejpam-5784	53	1	j.	j.	PROPN
ejpam-5784	53	2	pure	pure	PROPN
ejpam-5784	53	3	appl	appl	PROPN
ejpam-5784	53	4	.	.	PROPN
ejpam-5784	53	5	math	math	PROPN
ejpam-5784	53	6	,	,	PUNCT
ejpam-5784	53	7	18	18	NUM
ejpam-5784	53	8	(	(	PUNCT
ejpam-5784	53	9	1	1	NUM
ejpam-5784	53	10	)	)	PUNCT
ejpam-5784	53	11	(	(	PUNCT
ejpam-5784	53	12	2025	2025	NUM
ejpam-5784	53	13	)	)	PUNCT
ejpam-5784	53	14	,	,	PUNCT
ejpam-5784	53	15	5784	5784	NUM
ejpam-5784	53	16	4	4	NUM
ejpam-5784	53	17	of	of	ADP
ejpam-5784	53	18	25	25	NUM
ejpam-5784	53	19	lt	lt	PROPN
ejpam-5784	53	20	-	-	PUNCT
ejpam-5784	53	21	rfps	rfps	PROPN
ejpam-5784	53	22	method	method	NOUN
ejpam-5784	53	23	to	to	PART
ejpam-5784	53	24	create	create	VERB
ejpam-5784	53	25	series	series	NOUN
ejpam-5784	53	26	solutions	solution	NOUN
ejpam-5784	53	27	of	of	ADP
ejpam-5784	53	28	a	a	DET
ejpam-5784	53	29	hyperbolic	hyperbolic	ADJ
ejpam-5784	53	30	system	system	NOUN
ejpam-5784	53	31	of	of	ADP
ejpam-5784	53	32	time	time	NOUN
ejpam-5784	53	33	-	-	PUNCT
ejpam-5784	53	34	pdes	pde	NOUN
ejpam-5784	53	35	with	with	ADP
ejpam-5784	53	36	variable	variable	ADJ
ejpam-5784	53	37	coefficients	coefficient	NOUN
ejpam-5784	53	38	in	in	ADP
ejpam-5784	53	39	the	the	DET
ejpam-5784	53	40	light	light	NOUN
ejpam-5784	53	41	of	of	ADP
ejpam-5784	53	42	caputo	caputo	PROPN
ejpam-5784	53	43	fd	fd	PROPN
ejpam-5784	53	44	sense	sense	NOUN
ejpam-5784	53	45	.	.	PUNCT
ejpam-5784	54	1	the	the	DET
ejpam-5784	54	2	advantages	advantage	NOUN
ejpam-5784	54	3	of	of	ADP
ejpam-5784	54	4	this	this	DET
ejpam-5784	54	5	method	method	NOUN
ejpam-5784	54	6	are	be	AUX
ejpam-5784	54	7	that	that	SCONJ
ejpam-5784	54	8	it	it	PRON
ejpam-5784	54	9	effectively	effectively	ADV
ejpam-5784	54	10	combines	combine	VERB
ejpam-5784	54	11	the	the	DET
ejpam-5784	54	12	strengths	strength	NOUN
ejpam-5784	54	13	of	of	ADP
ejpam-5784	54	14	the	the	DET
ejpam-5784	54	15	laplace	laplace	NOUN
ejpam-5784	54	16	transform	transform	NOUN
ejpam-5784	54	17	,	,	PUNCT
ejpam-5784	54	18	residual	residual	ADJ
ejpam-5784	54	19	error	error	NOUN
ejpam-5784	54	20	,	,	PUNCT
ejpam-5784	54	21	and	and	CCONJ
ejpam-5784	54	22	fractional	fractional	ADJ
ejpam-5784	54	23	power	power	NOUN
ejpam-5784	54	24	series	series	NOUN
ejpam-5784	54	25	expansion	expansion	NOUN
ejpam-5784	54	26	,	,	PUNCT
ejpam-5784	54	27	making	make	VERB
ejpam-5784	54	28	it	it	PRON
ejpam-5784	54	29	highly	highly	ADV
ejpam-5784	54	30	accurate	accurate	ADJ
ejpam-5784	54	31	for	for	ADP
ejpam-5784	54	32	solving	solve	VERB
ejpam-5784	54	33	linear	linear	NOUN
ejpam-5784	54	34	and	and	CCONJ
ejpam-5784	54	35	nonlinear	nonlinear	ADJ
ejpam-5784	54	36	differential	differential	ADJ
ejpam-5784	54	37	equations	equation	NOUN
ejpam-5784	54	38	.	.	PUNCT
ejpam-5784	55	1	it	it	PRON
ejpam-5784	55	2	avoids	avoid	VERB
ejpam-5784	55	3	linearization	linearization	NOUN
ejpam-5784	55	4	and	and	CCONJ
ejpam-5784	55	5	small	small	ADJ
ejpam-5784	55	6	-	-	PUNCT
ejpam-5784	55	7	parameter	parameter	NOUN
ejpam-5784	55	8	assumptions	assumption	NOUN
ejpam-5784	55	9	,	,	PUNCT
ejpam-5784	55	10	and	and	CCONJ
ejpam-5784	55	11	it	it	PRON
ejpam-5784	55	12	does	do	AUX
ejpam-5784	55	13	not	not	PART
ejpam-5784	55	14	require	require	VERB
ejpam-5784	55	15	adomian	adomian	NOUN
ejpam-5784	55	16	polynomials	polynomial	NOUN
ejpam-5784	55	17	or	or	CCONJ
ejpam-5784	55	18	he	he	PRON
ejpam-5784	55	19	’s	’	VERB
ejpam-5784	55	20	polynomials	polynomial	NOUN
ejpam-5784	55	21	.	.	PUNCT
ejpam-5784	56	1	also	also	ADV
ejpam-5784	56	2	,	,	PUNCT
ejpam-5784	56	3	the	the	DET
ejpam-5784	56	4	lt	lt	PROPN
ejpam-5784	56	5	-	-	PUNCT
ejpam-5784	56	6	rfps	rfps	PROPN
ejpam-5784	56	7	method	method	NOUN
ejpam-5784	56	8	depends	depend	VERB
ejpam-5784	56	9	basically	basically	ADV
ejpam-5784	56	10	on	on	ADP
ejpam-5784	56	11	the	the	DET
ejpam-5784	56	12	concept	concept	NOUN
ejpam-5784	56	13	of	of	ADP
ejpam-5784	56	14	the	the	DET
ejpam-5784	56	15	limit	limit	NOUN
ejpam-5784	56	16	in	in	ADP
ejpam-5784	56	17	discovering	discover	VERB
ejpam-5784	56	18	the	the	DET
ejpam-5784	56	19	series	series	NOUN
ejpam-5784	56	20	components	component	NOUN
ejpam-5784	56	21	,	,	PUNCT
ejpam-5784	56	22	not	not	PART
ejpam-5784	56	23	by	by	ADP
ejpam-5784	56	24	using	use	VERB
ejpam-5784	56	25	fds	fds	NOUN
ejpam-5784	56	26	approaches	approach	NOUN
ejpam-5784	56	27	,	,	PUNCT
ejpam-5784	56	28	as	as	ADP
ejpam-5784	56	29	the	the	DET
ejpam-5784	56	30	other	other	ADJ
ejpam-5784	56	31	existing	exist	VERB
ejpam-5784	56	32	analytical	analytical	ADJ
ejpam-5784	56	33	method	method	NOUN
ejpam-5784	56	34	.	.	PUNCT
ejpam-5784	57	1	as	as	ADP
ejpam-5784	57	2	a	a	DET
ejpam-5784	57	3	result	result	NOUN
ejpam-5784	57	4	,	,	PUNCT
ejpam-5784	57	5	a	a	DET
ejpam-5784	57	6	recursive	recursive	ADJ
ejpam-5784	57	7	formula	formula	NOUN
ejpam-5784	57	8	can	can	AUX
ejpam-5784	57	9	be	be	AUX
ejpam-5784	57	10	found	find	VERB
ejpam-5784	57	11	for	for	ADP
ejpam-5784	57	12	the	the	DET
ejpam-5784	57	13	components	component	NOUN
ejpam-5784	57	14	of	of	ADP
ejpam-5784	57	15	the	the	DET
ejpam-5784	57	16	series	series	NOUN
ejpam-5784	57	17	,	,	PUNCT
ejpam-5784	57	18	which	which	PRON
ejpam-5784	57	19	in	in	ADP
ejpam-5784	57	20	turn	turn	NOUN
ejpam-5784	57	21	contributes	contribute	VERB
ejpam-5784	57	22	to	to	ADP
ejpam-5784	57	23	reducing	reduce	VERB
ejpam-5784	57	24	the	the	DET
ejpam-5784	57	25	computational	computational	ADJ
ejpam-5784	57	26	iterations	iteration	NOUN
ejpam-5784	57	27	and	and	CCONJ
ejpam-5784	57	28	effort	effort	NOUN
ejpam-5784	57	29	spent	spend	VERB
ejpam-5784	57	30	in	in	ADP
ejpam-5784	57	31	discovering	discover	VERB
ejpam-5784	57	32	the	the	DET
ejpam-5784	57	33	approximate	approximate	ADJ
ejpam-5784	57	34	solution	solution	NOUN
ejpam-5784	57	35	pattern	pattern	NOUN
ejpam-5784	57	36	in	in	ADP
ejpam-5784	57	37	the	the	DET
ejpam-5784	57	38	form	form	NOUN
ejpam-5784	57	39	of	of	ADP
ejpam-5784	57	40	a	a	DET
ejpam-5784	57	41	fast	fast	ADJ
ejpam-5784	57	42	convergent	convergent	NOUN
ejpam-5784	57	43	series	series	NOUN
ejpam-5784	57	44	.	.	PUNCT
ejpam-5784	58	1	on	on	ADP
ejpam-5784	58	2	the	the	DET
ejpam-5784	58	3	other	other	ADJ
ejpam-5784	58	4	hand	hand	NOUN
ejpam-5784	58	5	,	,	PUNCT
ejpam-5784	58	6	the	the	DET
ejpam-5784	58	7	proposed	propose	VERB
ejpam-5784	58	8	method	method	NOUN
ejpam-5784	58	9	may	may	AUX
ejpam-5784	58	10	face	face	VERB
ejpam-5784	58	11	convergence	convergence	NOUN
ejpam-5784	58	12	issues	issue	NOUN
ejpam-5784	58	13	for	for	ADP
ejpam-5784	58	14	fractional	fractional	ADJ
ejpam-5784	58	15	equations	equation	NOUN
ejpam-5784	58	16	with	with	ADP
ejpam-5784	58	17	singularities	singularity	NOUN
ejpam-5784	58	18	or	or	CCONJ
ejpam-5784	58	19	highly	highly	ADV
ejpam-5784	58	20	nonlinear	nonlinear	ADJ
ejpam-5784	58	21	terms	term	NOUN
ejpam-5784	58	22	.	.	PUNCT
ejpam-5784	59	1	additionally	additionally	ADV
ejpam-5784	59	2	,	,	PUNCT
ejpam-5784	59	3	its	its	PRON
ejpam-5784	59	4	accuracy	accuracy	NOUN
ejpam-5784	59	5	heavily	heavily	ADV
ejpam-5784	59	6	depends	depend	VERB
ejpam-5784	59	7	on	on	ADP
ejpam-5784	59	8	the	the	DET
ejpam-5784	59	9	proper	proper	ADJ
ejpam-5784	59	10	specification	specification	NOUN
ejpam-5784	59	11	of	of	ADP
ejpam-5784	59	12	initial	initial	ADJ
ejpam-5784	59	13	or	or	CCONJ
ejpam-5784	59	14	boundary	boundary	ADJ
ejpam-5784	59	15	conditions	condition	NOUN
ejpam-5784	59	16	.	.	PUNCT
ejpam-5784	60	1	the	the	DET
ejpam-5784	60	2	main	main	ADJ
ejpam-5784	60	3	objective	objective	NOUN
ejpam-5784	60	4	of	of	ADP
ejpam-5784	60	5	the	the	DET
ejpam-5784	60	6	current	current	ADJ
ejpam-5784	60	7	analysis	analysis	NOUN
ejpam-5784	60	8	is	be	AUX
ejpam-5784	60	9	to	to	PART
ejpam-5784	60	10	expand	expand	VERB
ejpam-5784	60	11	the	the	DET
ejpam-5784	60	12	use	use	NOUN
ejpam-5784	60	13	of	of	ADP
ejpam-5784	60	14	the	the	DET
ejpam-5784	60	15	caputo	caputo	PROPN
ejpam-5784	60	16	ltrfps	ltrfps	PROPN
ejpam-5784	60	17	method	method	NOUN
ejpam-5784	60	18	,	,	PUNCT
ejpam-5784	60	19	which	which	PRON
ejpam-5784	60	20	offers	offer	VERB
ejpam-5784	60	21	an	an	DET
ejpam-5784	60	22	efficient	efficient	ADJ
ejpam-5784	60	23	approach	approach	NOUN
ejpam-5784	60	24	to	to	PART
ejpam-5784	60	25	obtain	obtain	VERB
ejpam-5784	60	26	analytical	analytical	ADJ
ejpam-5784	60	27	approximate	approximate	ADJ
ejpam-5784	60	28	series	series	NOUN
ejpam-5784	60	29	solutions	solution	NOUN
ejpam-5784	60	30	for	for	ADP
ejpam-5784	60	31	a	a	DET
ejpam-5784	60	32	class	class	NOUN
ejpam-5784	60	33	of	of	ADP
ejpam-5784	60	34	coupled	couple	VERB
ejpam-5784	60	35	systems	system	NOUN
ejpam-5784	60	36	that	that	PRON
ejpam-5784	60	37	arise	arise	VERB
ejpam-5784	60	38	in	in	ADP
ejpam-5784	60	39	physics	physics	NOUN
ejpam-5784	60	40	.	.	PUNCT
ejpam-5784	61	1	to	to	PART
ejpam-5784	61	2	accomplish	accomplish	VERB
ejpam-5784	61	3	this	this	PRON
ejpam-5784	61	4	,	,	PUNCT
ejpam-5784	61	5	we	we	PRON
ejpam-5784	61	6	consider	consider	VERB
ejpam-5784	61	7	the	the	DET
ejpam-5784	61	8	following	follow	VERB
ejpam-5784	61	9	coupled	couple	VERB
ejpam-5784	61	10	partial	partial	ADJ
ejpam-5784	61	11	des	de	NOUN
ejpam-5784	61	12	of	of	ADP
ejpam-5784	61	13	fractional	fractional	ADJ
ejpam-5784	61	14	orders	order	NOUN
ejpam-5784	61	15	system	system	NOUN
ejpam-5784	61	16	in	in	ADP
ejpam-5784	61	17	the	the	DET
ejpam-5784	61	18	form	form	NOUN
ejpam-5784	61	19	:	:	PUNCT
ejpam-5784	61	20	the	the	DET
ejpam-5784	61	21	non	non	ADJ
ejpam-5784	61	22	-	-	ADJ
ejpam-5784	61	23	linear	linear	ADJ
ejpam-5784	61	24	caputo	caputo	PROPN
ejpam-5784	61	25	time	time	NOUN
ejpam-5784	61	26	-	-	PUNCT
ejpam-5784	61	27	fractional	fractional	ADJ
ejpam-5784	61	28	order	order	NOUN
ejpam-5784	61	29	drinfeld	drinfeld	VERB
ejpam-5784	61	30	-	-	PUNCT
ejpam-5784	61	31	sokolov	sokolov	NOUN
ejpam-5784	61	32	-	-	PUNCT
ejpam-5784	61	33	wilson	wilson	NOUN
ejpam-5784	61	34	equation	equation	NOUN
ejpam-5784	61	35	(	(	PUNCT
ejpam-5784	61	36	dswe	dswe	PROPN
ejpam-5784	61	37	):	):	PUNCT
ejpam-5784	61	38	dρφ	dρφ	PROPN
ejpam-5784	61	39	(	(	PUNCT
ejpam-5784	61	40	ς	ς	PROPN
ejpam-5784	61	41	,	,	PUNCT
ejpam-5784	61	42	τ	τ	X
ejpam-5784	61	43	)	)	PUNCT
ejpam-5784	62	1	+	+	CCONJ
ejpam-5784	62	2	nψ	nψ	INTJ
ejpam-5784	62	3	(	(	PUNCT
ejpam-5784	62	4	ς	ς	PROPN
ejpam-5784	62	5	,	,	PUNCT
ejpam-5784	62	6	τ)dςψ	τ)dςψ	PROPN
ejpam-5784	62	7	(	(	PUNCT
ejpam-5784	62	8	ς	ς	PROPN
ejpam-5784	62	9	,	,	PUNCT
ejpam-5784	62	10	τ	τ	X
ejpam-5784	62	11	)	)	PUNCT
ejpam-5784	62	12	=	=	SYM
ejpam-5784	62	13	0	0	NUM
ejpam-5784	62	14	,	,	PUNCT
ejpam-5784	62	15	dρψ	dρψ	NOUN
ejpam-5784	62	16	(	(	PUNCT
ejpam-5784	62	17	ς	ς	PROPN
ejpam-5784	62	18	,	,	PUNCT
ejpam-5784	62	19	τ	τ	X
ejpam-5784	62	20	)	)	PUNCT
ejpam-5784	63	1	+	+	CCONJ
ejpam-5784	63	2	cd3	cd3	ADJ
ejpam-5784	63	3	ςψ	ςψ	INTJ
ejpam-5784	63	4	(	(	PUNCT
ejpam-5784	63	5	ς	ς	PROPN
ejpam-5784	63	6	,	,	PUNCT
ejpam-5784	63	7	τ	τ	X
ejpam-5784	63	8	)	)	PUNCT
ejpam-5784	64	1	+	+	CCONJ
ejpam-5784	64	2	pφ	pφ	INTJ
ejpam-5784	64	3	(	(	PUNCT
ejpam-5784	64	4	ς	ς	PROPN
ejpam-5784	64	5	,	,	PUNCT
ejpam-5784	64	6	τ)dςψ	τ)dςψ	PROPN
ejpam-5784	64	7	(	(	PUNCT
ejpam-5784	64	8	ς	ς	PROPN
ejpam-5784	64	9	,	,	PUNCT
ejpam-5784	64	10	τ	τ	X
ejpam-5784	64	11	)	)	PUNCT
ejpam-5784	65	1	+	+	X
ejpam-5784	65	2	rψ	rψ	ADJ
ejpam-5784	65	3	(	(	PUNCT
ejpam-5784	65	4	ς	ς	NOUN
ejpam-5784	65	5	,	,	PUNCT
ejpam-5784	65	6	τ)dςφ	τ)dςφ	NOUN
ejpam-5784	65	7	(	(	PUNCT
ejpam-5784	65	8	ς	ς	PROPN
ejpam-5784	65	9	,	,	PUNCT
ejpam-5784	65	10	τ	τ	X
ejpam-5784	65	11	)	)	PUNCT
ejpam-5784	65	12	=	=	SYM
ejpam-5784	65	13	0	0	NUM
ejpam-5784	65	14	,	,	PUNCT
ejpam-5784	65	15	ρ	ρ	PROPN
ejpam-5784	65	16	∈	∈	PROPN
ejpam-5784	65	17	(	(	PUNCT
ejpam-5784	65	18	0	0	NUM
ejpam-5784	65	19	,	,	PUNCT
ejpam-5784	65	20	1	1	NUM
ejpam-5784	65	21	]	]	PUNCT
ejpam-5784	65	22	(	(	PUNCT
ejpam-5784	65	23	1	1	X
ejpam-5784	65	24	)	)	PUNCT
ejpam-5784	65	25	where	where	SCONJ
ejpam-5784	65	26	n	n	CCONJ
ejpam-5784	65	27	,	,	PUNCT
ejpam-5784	65	28	c	c	PROPN
ejpam-5784	65	29	,	,	PUNCT
ejpam-5784	65	30	ρ	ρ	PROPN
ejpam-5784	65	31	and	and	CCONJ
ejpam-5784	65	32	r	r	NOUN
ejpam-5784	65	33	are	be	AUX
ejpam-5784	65	34	non	non	ADJ
ejpam-5784	65	35	-	-	ADJ
ejpam-5784	65	36	zero	zero	NUM
ejpam-5784	65	37	constants	constant	NOUN
ejpam-5784	65	38	.	.	PUNCT
ejpam-5784	66	1	in	in	ADP
ejpam-5784	66	2	the	the	DET
ejpam-5784	66	3	1980s	1980s	NUM
ejpam-5784	66	4	,	,	PUNCT
ejpam-5784	66	5	wilson	wilson	PROPN
ejpam-5784	67	1	[	[	X
ejpam-5784	67	2	49	49	NUM
ejpam-5784	67	3	]	]	PUNCT
ejpam-5784	67	4	provided	provide	VERB
ejpam-5784	67	5	a	a	DET
ejpam-5784	67	6	basic	basic	ADJ
ejpam-5784	67	7	description	description	NOUN
ejpam-5784	67	8	of	of	ADP
ejpam-5784	67	9	dswe	dswe	NOUN
ejpam-5784	67	10	after	after	ADP
ejpam-5784	67	11	drinfeld	drinfeld	PROPN
ejpam-5784	67	12	and	and	CCONJ
ejpam-5784	67	13	sokolov	sokolov	VERB
ejpam-5784	67	14	[	[	X
ejpam-5784	67	15	18	18	NUM
ejpam-5784	67	16	]	]	PUNCT
ejpam-5784	67	17	initially	initially	ADV
ejpam-5784	67	18	introduced	introduce	VERB
ejpam-5784	67	19	it	it	PRON
ejpam-5784	67	20	.	.	PUNCT
ejpam-5784	68	1	dswe	dswe	PROPN
ejpam-5784	68	2	is	be	AUX
ejpam-5784	68	3	one	one	NUM
ejpam-5784	68	4	of	of	ADP
ejpam-5784	68	5	the	the	DET
ejpam-5784	68	6	special	special	ADJ
ejpam-5784	68	7	shapes	shape	NOUN
ejpam-5784	68	8	of	of	ADP
ejpam-5784	68	9	lax	lax	NOUN
ejpam-5784	68	10	-	-	PUNCT
ejpam-5784	68	11	paired	pair	VERB
ejpam-5784	68	12	non	non	ADJ
ejpam-5784	68	13	-	-	ADJ
ejpam-5784	68	14	linear	linear	ADJ
ejpam-5784	68	15	partial	partial	ADJ
ejpam-5784	68	16	des	des	PROPN
ejpam-5784	68	17	,	,	PUNCT
ejpam-5784	68	18	which	which	PRON
ejpam-5784	68	19	is	be	AUX
ejpam-5784	68	20	utilized	utilize	VERB
ejpam-5784	68	21	to	to	PART
ejpam-5784	68	22	elucidate	elucidate	VERB
ejpam-5784	68	23	non	non	ADJ
ejpam-5784	68	24	-	-	ADJ
ejpam-5784	68	25	linear	linear	ADJ
ejpam-5784	68	26	surface	surface	NOUN
ejpam-5784	68	27	waves	wave	NOUN
ejpam-5784	68	28	propagating	propagate	VERB
ejpam-5784	68	29	on	on	ADP
ejpam-5784	68	30	the	the	DET
ejpam-5784	68	31	horizontal	horizontal	ADJ
ejpam-5784	68	32	seabed	seabed	NOUN
ejpam-5784	68	33	[	[	X
ejpam-5784	68	34	46	46	NUM
ejpam-5784	68	35	]	]	PUNCT
ejpam-5784	68	36	.	.	PUNCT
ejpam-5784	69	1	it	it	PRON
ejpam-5784	69	2	has	have	VERB
ejpam-5784	69	3	an	an	DET
ejpam-5784	69	4	endless	endless	ADJ
ejpam-5784	69	5	number	number	NOUN
ejpam-5784	69	6	of	of	ADP
ejpam-5784	69	7	conservation	conservation	NOUN
ejpam-5784	69	8	regulations	regulation	NOUN
ejpam-5784	69	9	in	in	ADP
ejpam-5784	69	10	this	this	DET
ejpam-5784	69	11	system	system	NOUN
ejpam-5784	69	12	.	.	PUNCT
ejpam-5784	70	1	it	it	PRON
ejpam-5784	70	2	is	be	AUX
ejpam-5784	70	3	interesting	interesting	ADJ
ejpam-5784	70	4	to	to	PART
ejpam-5784	70	5	note	note	VERB
ejpam-5784	70	6	that	that	SCONJ
ejpam-5784	70	7	it	it	PRON
ejpam-5784	70	8	contains	contain	VERB
ejpam-5784	70	9	static	static	ADJ
ejpam-5784	70	10	soliton	soliton	NOUN
ejpam-5784	70	11	solutions	solution	NOUN
ejpam-5784	70	12	,	,	PUNCT
ejpam-5784	70	13	which	which	PRON
ejpam-5784	70	14	interact	interact	VERB
ejpam-5784	70	15	with	with	ADP
ejpam-5784	70	16	the	the	DET
ejpam-5784	70	17	moving	move	VERB
ejpam-5784	70	18	solitons	soliton	NOUN
ejpam-5784	70	19	without	without	ADP
ejpam-5784	70	20	undergoing	undergo	VERB
ejpam-5784	70	21	deformation	deformation	NOUN
ejpam-5784	70	22	[	[	X
ejpam-5784	70	23	36	36	NUM
ejpam-5784	70	24	]	]	PUNCT
ejpam-5784	70	25	.	.	PUNCT
ejpam-5784	71	1	the	the	DET
ejpam-5784	71	2	non	non	ADJ
ejpam-5784	71	3	-	-	ADJ
ejpam-5784	71	4	linear	linear	ADJ
ejpam-5784	71	5	caputo	caputo	PROPN
ejpam-5784	71	6	time	time	NOUN
ejpam-5784	71	7	-	-	PUNCT
ejpam-5784	71	8	fractional	fractional	ADJ
ejpam-5784	71	9	order	order	NOUN
ejpam-5784	71	10	coupled	couple	VERB
ejpam-5784	71	11	viscous	viscous	ADJ
ejpam-5784	71	12	burgers	burger	NOUN
ejpam-5784	71	13	’	'	PUNCT
ejpam-5784	71	14	equation	equation	NOUN
ejpam-5784	71	15	(	(	PUNCT
ejpam-5784	71	16	cvbe	cvbe	NOUN
ejpam-5784	71	17	)	)	PUNCT
ejpam-5784	71	18	system	system	NOUN
ejpam-5784	71	19	:	:	PUNCT
ejpam-5784	71	20	dρφ	dρφ	PROPN
ejpam-5784	71	21	(	(	PUNCT
ejpam-5784	71	22	ς	ς	PROPN
ejpam-5784	71	23	,	,	PUNCT
ejpam-5784	71	24	τ)−d2	τ)−d2	ADJ
ejpam-5784	71	25	ςφ	ςφ	PART
ejpam-5784	71	26	(	(	PUNCT
ejpam-5784	71	27	ς	ς	PROPN
ejpam-5784	71	28	,	,	PUNCT
ejpam-5784	71	29	τ)−	τ)−	PROPN
ejpam-5784	71	30	ωφ	ωφ	X
ejpam-5784	71	31	(	(	PUNCT
ejpam-5784	71	32	ς	ς	PROPN
ejpam-5784	71	33	,	,	PUNCT
ejpam-5784	71	34	τ)dςφ	τ)dςφ	NOUN
ejpam-5784	71	35	(	(	PUNCT
ejpam-5784	71	36	ς	ς	PROPN
ejpam-5784	71	37	,	,	PUNCT
ejpam-5784	71	38	τ	τ	X
ejpam-5784	71	39	)	)	PUNCT
ejpam-5784	72	1	+	+	CCONJ
ejpam-5784	72	2	qdς	qdς	NOUN
ejpam-5784	72	3	(	(	PUNCT
ejpam-5784	72	4	φ	φ	PROPN
ejpam-5784	72	5	(	(	PUNCT
ejpam-5784	72	6	ς	ς	PROPN
ejpam-5784	72	7	,	,	PUNCT
ejpam-5784	72	8	τ)ψ	τ)ψ	NUM
ejpam-5784	72	9	(	(	PUNCT
ejpam-5784	72	10	ς	ς	PROPN
ejpam-5784	72	11	,	,	PUNCT
ejpam-5784	72	12	τ	τ	PROPN
ejpam-5784	72	13	)	)	PUNCT
ejpam-5784	72	14	)	)	PUNCT
ejpam-5784	73	1	=	=	SYM
ejpam-5784	73	2	0	0	NUM
ejpam-5784	73	3	,	,	PUNCT
ejpam-5784	73	4	dρψ	dρψ	NOUN
ejpam-5784	73	5	(	(	PUNCT
ejpam-5784	73	6	ς	ς	PROPN
ejpam-5784	73	7	,	,	PUNCT
ejpam-5784	73	8	τ)−d2	τ)−d2	ADJ
ejpam-5784	73	9	ςψ	ςψ	X
ejpam-5784	73	10	(	(	PUNCT
ejpam-5784	73	11	ς	ς	PROPN
ejpam-5784	73	12	,	,	PUNCT
ejpam-5784	73	13	τ)−	τ)−	PROPN
ejpam-5784	73	14	γψ	γψ	ADP
ejpam-5784	73	15	(	(	PUNCT
ejpam-5784	73	16	ς	ς	PROPN
ejpam-5784	73	17	,	,	PUNCT
ejpam-5784	73	18	τ)dςψ	τ)dςψ	PROPN
ejpam-5784	73	19	(	(	PUNCT
ejpam-5784	73	20	ς	ς	PROPN
ejpam-5784	73	21	,	,	PUNCT
ejpam-5784	73	22	τ	τ	X
ejpam-5784	73	23	)	)	PUNCT
ejpam-5784	73	24	+	+	CCONJ
ejpam-5784	73	25	ϑdς	ϑdς	NOUN
ejpam-5784	73	26	(	(	PUNCT
ejpam-5784	73	27	φ	φ	X
ejpam-5784	73	28	(	(	PUNCT
ejpam-5784	73	29	ς	ς	PROPN
ejpam-5784	73	30	,	,	PUNCT
ejpam-5784	73	31	τ)ψ	τ)ψ	NUM
ejpam-5784	73	32	(	(	PUNCT
ejpam-5784	73	33	ς	ς	PROPN
ejpam-5784	73	34	,	,	PUNCT
ejpam-5784	73	35	τ	τ	PROPN
ejpam-5784	73	36	)	)	PUNCT
ejpam-5784	73	37	)	)	PUNCT
ejpam-5784	74	1	=	=	SYM
ejpam-5784	74	2	0	0	NUM
ejpam-5784	74	3	,	,	PUNCT
ejpam-5784	74	4	ρ	ρ	PROPN
ejpam-5784	74	5	∈	∈	PROPN
ejpam-5784	74	6	(	(	PUNCT
ejpam-5784	74	7	0	0	NUM
ejpam-5784	74	8	,	,	PUNCT
ejpam-5784	74	9	1	1	NUM
ejpam-5784	74	10	]	]	PUNCT
ejpam-5784	74	11	,	,	PUNCT
ejpam-5784	74	12	(	(	PUNCT
ejpam-5784	74	13	2	2	X
ejpam-5784	74	14	)	)	PUNCT
ejpam-5784	74	15	where	where	SCONJ
ejpam-5784	74	16	ω	ω	NUM
ejpam-5784	74	17	and	and	CCONJ
ejpam-5784	74	18	γ	γ	PRON
ejpam-5784	74	19	real	real	ADJ
ejpam-5784	74	20	constants	constant	NOUN
ejpam-5784	74	21	,	,	PUNCT
ejpam-5784	74	22	q	q	NOUN
ejpam-5784	74	23	and	and	CCONJ
ejpam-5784	74	24	ϑ	ϑ	X
ejpam-5784	74	25	are	be	AUX
ejpam-5784	74	26	arbitrary	arbitrary	ADJ
ejpam-5784	74	27	constants	constant	NOUN
ejpam-5784	74	28	depending	depend	VERB
ejpam-5784	74	29	on	on	ADP
ejpam-5784	74	30	system	system	NOUN
ejpam-5784	74	31	parameters	parameter	NOUN
ejpam-5784	74	32	.	.	PUNCT
ejpam-5784	75	1	esipov	esipov	PROPN
ejpam-5784	75	2	initially	initially	ADV
ejpam-5784	75	3	investigated	investigate	VERB
ejpam-5784	75	4	the	the	DET
ejpam-5784	75	5	cvbe	cvbe	NOUN
ejpam-5784	75	6	system	system	NOUN
ejpam-5784	75	7	as	as	ADP
ejpam-5784	75	8	a	a	DET
ejpam-5784	75	9	mathematics	mathematics	NOUN
ejpam-5784	75	10	problem	problem	NOUN
ejpam-5784	75	11	of	of	ADP
ejpam-5784	75	12	poly	poly	ADJ
ejpam-5784	75	13	-	-	PUNCT
ejpam-5784	75	14	dispersive	dispersive	NOUN
ejpam-5784	75	15	sedimentation	sedimentation	NOUN
ejpam-5784	75	16	[	[	X
ejpam-5784	75	17	22	22	NUM
ejpam-5784	75	18	]	]	PUNCT
ejpam-5784	75	19	.	.	PUNCT
ejpam-5784	76	1	it	it	PRON
ejpam-5784	76	2	is	be	AUX
ejpam-5784	76	3	extremely	extremely	ADV
ejpam-5784	76	4	important	important	ADJ
ejpam-5784	76	5	to	to	PART
ejpam-5784	76	6	explain	explain	VERB
ejpam-5784	76	7	ocean	ocean	NOUN
ejpam-5784	76	8	waves	wave	NOUN
ejpam-5784	76	9	,	,	PUNCT
ejpam-5784	76	10	which	which	PRON
ejpam-5784	76	11	is	be	AUX
ejpam-5784	76	12	considered	consider	VERB
ejpam-5784	76	13	one	one	NUM
ejpam-5784	76	14	of	of	ADP
ejpam-5784	76	15	non	non	ADJ
ejpam-5784	76	16	-	-	ADJ
ejpam-5784	76	17	linear	linear	ADJ
ejpam-5784	76	18	evolution	evolution	NOUN
ejpam-5784	76	19	equation[25	equation[25	NOUN
ejpam-5784	76	20	]	]	PUNCT
ejpam-5784	76	21	.	.	PUNCT
ejpam-5784	77	1	additionally	additionally	ADV
ejpam-5784	77	2	,	,	PUNCT
ejpam-5784	77	3	cvbe	cvbe	PROPN
ejpam-5784	77	4	is	be	AUX
ejpam-5784	77	5	employed	employ	VERB
ejpam-5784	77	6	to	to	PART
ejpam-5784	77	7	observe	observe	VERB
ejpam-5784	77	8	the	the	DET
ejpam-5784	77	9	physical	physical	ADJ
ejpam-5784	77	10	issues	issue	NOUN
ejpam-5784	77	11	of	of	ADP
ejpam-5784	77	12	hydrodynamic	hydrodynamic	ADJ
ejpam-5784	77	13	turbulence	turbulence	NOUN
ejpam-5784	77	14	,	,	PUNCT
ejpam-5784	77	15	vorticity	vorticity	NOUN
ejpam-5784	77	16	transport	transport	NOUN
ejpam-5784	77	17	,	,	PUNCT
ejpam-5784	77	18	plasma	plasma	NOUN
ejpam-5784	77	19	m.	m.	NOUN
ejpam-5784	77	20	alaroud	alaroud	PROPN
ejpam-5784	77	21	,	,	PUNCT
ejpam-5784	77	22	f.	f.	PROPN
ejpam-5784	77	23	aldosari	aldosari	PROPN
ejpam-5784	77	24	/	/	SYM
ejpam-5784	77	25	eur	eur	PROPN
ejpam-5784	77	26	.	.	PUNCT
ejpam-5784	78	1	j.	j.	PROPN
ejpam-5784	78	2	pure	pure	PROPN
ejpam-5784	78	3	appl	appl	PROPN
ejpam-5784	78	4	.	.	PROPN
ejpam-5784	78	5	math	math	PROPN
ejpam-5784	78	6	,	,	PUNCT
ejpam-5784	78	7	18	18	NUM
ejpam-5784	78	8	(	(	PUNCT
ejpam-5784	78	9	1	1	NUM
ejpam-5784	78	10	)	)	PUNCT
ejpam-5784	78	11	(	(	PUNCT
ejpam-5784	78	12	2025	2025	NUM
ejpam-5784	78	13	)	)	PUNCT
ejpam-5784	78	14	,	,	PUNCT
ejpam-5784	78	15	5784	5784	NUM
ejpam-5784	78	16	5	5	NUM
ejpam-5784	78	17	of	of	ADP
ejpam-5784	78	18	25	25	NUM
ejpam-5784	78	19	physics	physic	NOUN
ejpam-5784	78	20	,	,	PUNCT
ejpam-5784	78	21	shock	shock	NOUN
ejpam-5784	78	22	wave	wave	NOUN
ejpam-5784	78	23	theory	theory	NOUN
ejpam-5784	78	24	in	in	ADP
ejpam-5784	78	25	a	a	DET
ejpam-5784	78	26	viscous	viscous	ADJ
ejpam-5784	78	27	fluid	fluid	NOUN
ejpam-5784	78	28	,	,	PUNCT
ejpam-5784	78	29	and	and	CCONJ
ejpam-5784	78	30	wave	wave	NOUN
ejpam-5784	78	31	processes	process	NOUN
ejpam-5784	78	32	in	in	ADP
ejpam-5784	78	33	a	a	DET
ejpam-5784	78	34	thermoelastic	thermoelastic	ADJ
ejpam-5784	78	35	medium	medium	NOUN
ejpam-5784	78	36	[	[	X
ejpam-5784	78	37	44	44	NUM
ejpam-5784	78	38	]	]	PUNCT
ejpam-5784	78	39	.	.	PUNCT
ejpam-5784	79	1	herein	herein	PROPN
ejpam-5784	79	2	,	,	PUNCT
ejpam-5784	79	3	both	both	DET
ejpam-5784	79	4	ds	d	NOUN
ejpam-5784	79	5	-	-	PUNCT
ejpam-5784	79	6	we	we	PRON
ejpam-5784	79	7	and	and	CCONJ
ejpam-5784	79	8	cvbe	cvbe	PROPN
ejpam-5784	79	9	systems	system	NOUN
ejpam-5784	79	10	are	be	AUX
ejpam-5784	79	11	considered	consider	VERB
ejpam-5784	79	12	subject	subject	ADJ
ejpam-5784	79	13	to	to	ADP
ejpam-5784	79	14	the	the	DET
ejpam-5784	79	15	following	follow	VERB
ejpam-5784	79	16	initial	initial	ADJ
ejpam-5784	79	17	conditions	condition	NOUN
ejpam-5784	79	18	:	:	PUNCT
ejpam-5784	79	19	φ	φ	PROPN
ejpam-5784	79	20	(	(	PUNCT
ejpam-5784	79	21	ς	ς	PROPN
ejpam-5784	79	22	,	,	PUNCT
ejpam-5784	79	23	0	0	NUM
ejpam-5784	79	24	)	)	PUNCT
ejpam-5784	79	25	=	=	SYM
ejpam-5784	80	1	φ	φ	X
ejpam-5784	80	2	(	(	PUNCT
ejpam-5784	80	3	ς	ς	NOUN
ejpam-5784	80	4	)	)	PUNCT
ejpam-5784	80	5	and	and	CCONJ
ejpam-5784	80	6	ψ	ψ	X
ejpam-5784	80	7	(	(	PUNCT
ejpam-5784	80	8	ς	ς	PROPN
ejpam-5784	80	9	,	,	PUNCT
ejpam-5784	80	10	0	0	NUM
ejpam-5784	80	11	)	)	PUNCT
ejpam-5784	80	12	=	=	SYM
ejpam-5784	80	13	ψ	ψ	X
ejpam-5784	80	14	(	(	PUNCT
ejpam-5784	80	15	ς	ς	NOUN
ejpam-5784	80	16	)	)	PUNCT
ejpam-5784	80	17	.	.	PUNCT
ejpam-5784	81	1	(	(	PUNCT
ejpam-5784	81	2	3	3	X
ejpam-5784	81	3	)	)	PUNCT
ejpam-5784	81	4	the	the	DET
ejpam-5784	81	5	pattern	pattern	NOUN
ejpam-5784	81	6	of	of	ADP
ejpam-5784	81	7	the	the	DET
ejpam-5784	81	8	present	present	ADJ
ejpam-5784	81	9	work	work	NOUN
ejpam-5784	81	10	is	be	AUX
ejpam-5784	81	11	structured	structure	VERB
ejpam-5784	81	12	as	as	SCONJ
ejpam-5784	81	13	follows	follow	VERB
ejpam-5784	81	14	:	:	PUNCT
ejpam-5784	81	15	in	in	ADP
ejpam-5784	81	16	the	the	DET
ejpam-5784	81	17	next	next	ADJ
ejpam-5784	81	18	section	section	NOUN
ejpam-5784	81	19	,	,	PUNCT
ejpam-5784	81	20	a	a	DET
ejpam-5784	81	21	quick	quick	ADJ
ejpam-5784	81	22	overview	overview	NOUN
ejpam-5784	81	23	of	of	ADP
ejpam-5784	81	24	certain	certain	ADJ
ejpam-5784	81	25	essential	essential	ADJ
ejpam-5784	81	26	terms	term	NOUN
ejpam-5784	81	27	and	and	CCONJ
ejpam-5784	81	28	ideas	idea	NOUN
ejpam-5784	81	29	related	relate	VERB
ejpam-5784	81	30	to	to	ADP
ejpam-5784	81	31	fc	fc	PROPN
ejpam-5784	81	32	theory	theory	NOUN
ejpam-5784	81	33	,	,	PUNCT
ejpam-5784	81	34	lt	lt	DET
ejpam-5784	81	35	instrument	instrument	NOUN
ejpam-5784	81	36	,	,	PUNCT
ejpam-5784	81	37	and	and	CCONJ
ejpam-5784	81	38	new	new	ADJ
ejpam-5784	81	39	fractional	fractional	ADJ
ejpam-5784	81	40	series	series	NOUN
ejpam-5784	81	41	expansion	expansion	NOUN
ejpam-5784	81	42	that	that	PRON
ejpam-5784	81	43	we	we	PRON
ejpam-5784	81	44	will	will	AUX
ejpam-5784	81	45	use	use	VERB
ejpam-5784	81	46	in	in	ADP
ejpam-5784	81	47	present	present	ADJ
ejpam-5784	81	48	disquisition	disquisition	NOUN
ejpam-5784	81	49	.	.	PUNCT
ejpam-5784	82	1	in	in	ADP
ejpam-5784	82	2	section	section	NOUN
ejpam-5784	82	3	2	2	NUM
ejpam-5784	82	4	,	,	PUNCT
ejpam-5784	82	5	the	the	DET
ejpam-5784	82	6	future	future	ADJ
ejpam-5784	82	7	recommended	recommend	VERB
ejpam-5784	82	8	technique	technique	NOUN
ejpam-5784	82	9	for	for	ADP
ejpam-5784	82	10	prediction	prediction	NOUN
ejpam-5784	82	11	analytical	analytical	ADJ
ejpam-5784	82	12	-	-	PUNCT
ejpam-5784	82	13	approximate	approximate	ADJ
ejpam-5784	82	14	solutions	solution	NOUN
ejpam-5784	82	15	of	of	ADP
ejpam-5784	82	16	governing	govern	VERB
ejpam-5784	82	17	fractional	fractional	ADJ
ejpam-5784	82	18	models	model	NOUN
ejpam-5784	82	19	is	be	AUX
ejpam-5784	82	20	described	describe	VERB
ejpam-5784	82	21	.	.	PUNCT
ejpam-5784	83	1	next	next	ADJ
ejpam-5784	83	2	,	,	PUNCT
ejpam-5784	83	3	applications	application	NOUN
ejpam-5784	83	4	of	of	ADP
ejpam-5784	83	5	the	the	DET
ejpam-5784	83	6	scheme	scheme	NOUN
ejpam-5784	83	7	to	to	ADP
ejpam-5784	83	8	ds	ds	VERB
ejpam-5784	83	9	-	-	PUNCT
ejpam-5784	83	10	we	we	PRON
ejpam-5784	83	11	and	and	CCONJ
ejpam-5784	83	12	cvbe	cvbe	PROPN
ejpam-5784	83	13	systems	system	NOUN
ejpam-5784	83	14	in	in	ADP
ejpam-5784	83	15	the	the	DET
ejpam-5784	83	16	light	light	NOUN
ejpam-5784	83	17	of	of	ADP
ejpam-5784	83	18	caputo	caputo	PROPN
ejpam-5784	83	19	differentiation	differentiation	NOUN
ejpam-5784	83	20	with	with	ADP
ejpam-5784	83	21	proper	proper	ADJ
ejpam-5784	83	22	initial	initial	ADJ
ejpam-5784	83	23	conditions	condition	NOUN
ejpam-5784	83	24	are	be	AUX
ejpam-5784	83	25	stated	state	VERB
ejpam-5784	83	26	.	.	PUNCT
ejpam-5784	84	1	finally	finally	ADV
ejpam-5784	84	2	,	,	PUNCT
ejpam-5784	84	3	summarize	summarize	VERB
ejpam-5784	84	4	our	our	PRON
ejpam-5784	84	5	essential	essential	ADJ
ejpam-5784	84	6	findings	finding	NOUN
ejpam-5784	84	7	.	.	PUNCT
ejpam-5784	85	1	2	2	X
ejpam-5784	85	2	.	.	X
ejpam-5784	85	3	preliminaries	preliminary	NOUN
ejpam-5784	85	4	in	in	ADP
ejpam-5784	85	5	this	this	DET
ejpam-5784	85	6	portion	portion	NOUN
ejpam-5784	85	7	,	,	PUNCT
ejpam-5784	85	8	the	the	DET
ejpam-5784	85	9	most	most	ADV
ejpam-5784	85	10	common	common	ADJ
ejpam-5784	85	11	notion	notion	NOUN
ejpam-5784	85	12	of	of	ADP
ejpam-5784	85	13	caputo	caputo	PROPN
ejpam-5784	85	14	-	-	PUNCT
ejpam-5784	85	15	fd	fd	PROPN
ejpam-5784	85	16	is	be	AUX
ejpam-5784	85	17	highlighted	highlight	VERB
ejpam-5784	85	18	.	.	PUNCT
ejpam-5784	86	1	it	it	PRON
ejpam-5784	86	2	also	also	ADV
ejpam-5784	86	3	shortly	shortly	ADV
ejpam-5784	86	4	states	state	VERB
ejpam-5784	86	5	the	the	DET
ejpam-5784	86	6	theory	theory	NOUN
ejpam-5784	86	7	and	and	CCONJ
ejpam-5784	86	8	features	feature	NOUN
ejpam-5784	86	9	of	of	ADP
ejpam-5784	86	10	the	the	DET
ejpam-5784	86	11	lt	lt	PROPN
ejpam-5784	86	12	-	-	PUNCT
ejpam-5784	86	13	rfps	rfps	NOUN
ejpam-5784	86	14	under	under	ADP
ejpam-5784	86	15	the	the	DET
ejpam-5784	86	16	caputo	caputo	PROPN
ejpam-5784	86	17	-	-	PUNCT
ejpam-5784	86	18	fd	fd	PROPN
ejpam-5784	86	19	instrument	instrument	NOUN
ejpam-5784	86	20	to	to	PART
ejpam-5784	86	21	accomplish	accomplish	VERB
ejpam-5784	86	22	the	the	DET
ejpam-5784	86	23	theoretical	theoretical	ADJ
ejpam-5784	86	24	side	side	NOUN
ejpam-5784	86	25	of	of	ADP
ejpam-5784	86	26	the	the	DET
ejpam-5784	86	27	present	present	ADJ
ejpam-5784	86	28	disquisition	disquisition	NOUN
ejpam-5784	86	29	.	.	PUNCT
ejpam-5784	87	1	definition	definition	NOUN
ejpam-5784	87	2	1	1	NUM
ejpam-5784	87	3	.	.	PUNCT
ejpam-5784	88	1	[	[	X
ejpam-5784	88	2	14	14	NUM
ejpam-5784	88	3	]	]	PUNCT
ejpam-5784	88	4	let	let	VERB
ejpam-5784	88	5	φ	φ	PROPN
ejpam-5784	88	6	(	(	PUNCT
ejpam-5784	88	7	ς	ς	PROPN
ejpam-5784	88	8	,	,	PUNCT
ejpam-5784	88	9	τ	τ	PROPN
ejpam-5784	88	10	)	)	PUNCT
ejpam-5784	88	11	:	:	PUNCT
ejpam-5784	89	1	i	i	PRON
ejpam-5784	89	2	×	×	VERB
ejpam-5784	90	1	[	[	X
ejpam-5784	90	2	0,∞	0,∞	NOUN
ejpam-5784	90	3	)	)	PUNCT
ejpam-5784	90	4	→	→	PUNCT
ejpam-5784	90	5	r.	r.	PROPN
ejpam-5784	90	6	the	the	DET
ejpam-5784	90	7	lt	lt	PROPN
ejpam-5784	90	8	of	of	ADP
ejpam-5784	90	9	φ	φ	PROPN
ejpam-5784	90	10	is	be	AUX
ejpam-5784	90	11	defined	define	VERB
ejpam-5784	90	12	as	as	ADP
ejpam-5784	90	13	:	:	PUNCT
ejpam-5784	90	14	lρ	lρ	X
ejpam-5784	90	15	{	{	PUNCT
ejpam-5784	90	16	φ	φ	PROPN
ejpam-5784	90	17	(	(	PUNCT
ejpam-5784	90	18	ς	ς	PROPN
ejpam-5784	90	19	,	,	PUNCT
ejpam-5784	90	20	τ	τ	NOUN
ejpam-5784	90	21	)	)	PUNCT
ejpam-5784	90	22	}	}	PUNCT
ejpam-5784	90	23	=	=	SYM
ejpam-5784	91	1	φ(ς	φ(ς	ADJ
ejpam-5784	91	2	,	,	PUNCT
ejpam-5784	91	3	ξ	ξ	NOUN
ejpam-5784	91	4	)	)	PUNCT
ejpam-5784	91	5	=	=	SYM
ejpam-5784	92	1	∫	∫	PROPN
ejpam-5784	93	1	∞	∞	PROPN
ejpam-5784	93	2	0	0	NUM
ejpam-5784	93	3	φ	φ	PROPN
ejpam-5784	93	4	(	(	PUNCT
ejpam-5784	93	5	ς	ς	PROPN
ejpam-5784	93	6	,	,	PUNCT
ejpam-5784	93	7	τ	τ	PROPN
ejpam-5784	93	8	)	)	PUNCT
ejpam-5784	93	9	e−ξτdτ	e−ξτdτ	PROPN
ejpam-5784	93	10	,	,	PUNCT
ejpam-5784	93	11	τ	τ	PROPN
ejpam-5784	93	12	>	>	X
ejpam-5784	93	13	σ	σ	PROPN
ejpam-5784	93	14	,	,	PUNCT
ejpam-5784	93	15	(	(	PUNCT
ejpam-5784	93	16	4	4	NUM
ejpam-5784	93	17	)	)	PUNCT
ejpam-5784	93	18	where	where	SCONJ
ejpam-5784	93	19	σ	σ	PROPN
ejpam-5784	93	20	is	be	AUX
ejpam-5784	93	21	the	the	DET
ejpam-5784	93	22	exponential	exponential	ADJ
ejpam-5784	93	23	order	order	NOUN
ejpam-5784	93	24	of	of	ADP
ejpam-5784	93	25	φ	φ	PROPN
ejpam-5784	93	26	.	.	PUNCT
ejpam-5784	94	1	also	also	ADV
ejpam-5784	94	2	,	,	PUNCT
ejpam-5784	94	3	the	the	DET
ejpam-5784	94	4	inverse	inverse	NOUN
ejpam-5784	94	5	lt	lt	NOUN
ejpam-5784	94	6	of	of	ADP
ejpam-5784	94	7	the	the	DET
ejpam-5784	94	8	new	new	ADJ
ejpam-5784	94	9	function	function	NOUN
ejpam-5784	94	10	φ	φ	PROPN
ejpam-5784	94	11	(	(	PUNCT
ejpam-5784	94	12	ς	ς	PROPN
ejpam-5784	94	13	,	,	PUNCT
ejpam-5784	94	14	ξ	ξ	X
ejpam-5784	94	15	)	)	PUNCT
ejpam-5784	94	16	is	be	AUX
ejpam-5784	94	17	defined	define	VERB
ejpam-5784	94	18	as	as	ADP
ejpam-5784	94	19	:	:	PUNCT
ejpam-5784	94	20	l−1	l−1	PROPN
ejpam-5784	94	21	ρ	ρ	PROPN
ejpam-5784	94	22	{	{	PUNCT
ejpam-5784	94	23	φ	φ	PROPN
ejpam-5784	94	24	(	(	PUNCT
ejpam-5784	94	25	ς	ς	PROPN
ejpam-5784	94	26	,	,	PUNCT
ejpam-5784	94	27	ξ	ξ	NOUN
ejpam-5784	94	28	)	)	PUNCT
ejpam-5784	94	29	}	}	PUNCT
ejpam-5784	94	30	=	=	SYM
ejpam-5784	94	31	φ	φ	PROPN
ejpam-5784	94	32	(	(	PUNCT
ejpam-5784	94	33	ς	ς	PROPN
ejpam-5784	94	34	,	,	PUNCT
ejpam-5784	94	35	τ	τ	X
ejpam-5784	94	36	)	)	PUNCT
ejpam-5784	94	37	=	=	SYM
ejpam-5784	95	1	∫	∫	PROPN
ejpam-5784	95	2	δ+i∞	δ+i∞	PROPN
ejpam-5784	95	3	δ−i∞	δ−i∞	PROPN
ejpam-5784	95	4	φ	φ	PROPN
ejpam-5784	95	5	(	(	PUNCT
ejpam-5784	95	6	ς	ς	PROPN
ejpam-5784	95	7	,	,	PUNCT
ejpam-5784	95	8	ξ	ξ	NOUN
ejpam-5784	95	9	)	)	PUNCT
ejpam-5784	95	10	eξτdξ	eξτdξ	NOUN
ejpam-5784	95	11	,	,	PUNCT
ejpam-5784	95	12	δ	δ	X
ejpam-5784	95	13	=	=	SYM
ejpam-5784	95	14	re	re	X
ejpam-5784	95	15	(	(	PUNCT
ejpam-5784	95	16	ξ	ξ	NOUN
ejpam-5784	95	17	)	)	PUNCT
ejpam-5784	95	18	>	>	X
ejpam-5784	95	19	δ0	δ0	NOUN
ejpam-5784	95	20	.	.	PUNCT
ejpam-5784	96	1	(	(	PUNCT
ejpam-5784	96	2	5	5	X
ejpam-5784	96	3	)	)	PUNCT
ejpam-5784	96	4	lemma	lemma	PROPN
ejpam-5784	96	5	1	1	NUM
ejpam-5784	96	6	.	.	PUNCT
ejpam-5784	97	1	[	[	X
ejpam-5784	97	2	19	19	NUM
ejpam-5784	97	3	]	]	PUNCT
ejpam-5784	97	4	suppose	suppose	VERB
ejpam-5784	97	5	that	that	SCONJ
ejpam-5784	97	6	φ	φ	PROPN
ejpam-5784	97	7	(	(	PUNCT
ejpam-5784	97	8	ς	ς	PROPN
ejpam-5784	97	9	,	,	PUNCT
ejpam-5784	97	10	τ),and	τ),and	PUNCT
ejpam-5784	97	11	ψ	ψ	X
ejpam-5784	97	12	(	(	PUNCT
ejpam-5784	97	13	ς	ς	PROPN
ejpam-5784	97	14	,	,	PUNCT
ejpam-5784	97	15	τ	τ	PROPN
ejpam-5784	97	16	)	)	PUNCT
ejpam-5784	97	17	,	,	PUNCT
ejpam-5784	97	18	are	be	AUX
ejpam-5784	97	19	two	two	NUM
ejpam-5784	97	20	exponential	exponential	ADJ
ejpam-5784	97	21	orders	order	NOUN
ejpam-5784	97	22	,	,	PUNCT
ejpam-5784	97	23	piecewise	piecewise	NOUN
ejpam-5784	97	24	continuous	continuous	ADJ
ejpam-5784	97	25	functions	function	NOUN
ejpam-5784	97	26	on	on	ADP
ejpam-5784	97	27	i	i	PRON
ejpam-5784	97	28	×	×	VERB
ejpam-5784	97	29	[	[	X
ejpam-5784	97	30	0,∞	0,∞	NOUN
ejpam-5784	97	31	)	)	PUNCT
ejpam-5784	97	32	.	.	PUNCT
ejpam-5784	98	1	then	then	ADV
ejpam-5784	98	2	,	,	PUNCT
ejpam-5784	98	3	the	the	DET
ejpam-5784	98	4	following	follow	VERB
ejpam-5784	98	5	characteristics	characteristic	NOUN
ejpam-5784	98	6	are	be	AUX
ejpam-5784	98	7	hold	hold	ADJ
ejpam-5784	98	8	:	:	PUNCT
ejpam-5784	98	9	(	(	PUNCT
ejpam-5784	98	10	i	i	NOUN
ejpam-5784	98	11	)	)	PUNCT
ejpam-5784	98	12	lim	lim	PROPN
ejpam-5784	98	13	ξ→∞	ξ→∞	NUM
ejpam-5784	98	14	ξφ	ξφ	VERB
ejpam-5784	98	15	(	(	PUNCT
ejpam-5784	98	16	ς	ς	PROPN
ejpam-5784	98	17	,	,	PUNCT
ejpam-5784	98	18	ξ	ξ	NOUN
ejpam-5784	98	19	)	)	PUNCT
ejpam-5784	98	20	=	=	SYM
ejpam-5784	98	21	φ	φ	PROPN
ejpam-5784	98	22	(	(	PUNCT
ejpam-5784	98	23	ς	ς	PROPN
ejpam-5784	98	24	,	,	PUNCT
ejpam-5784	98	25	0	0	NUM
ejpam-5784	98	26	)	)	PUNCT
ejpam-5784	98	27	.	.	PUNCT
ejpam-5784	99	1	(	(	PUNCT
ejpam-5784	99	2	ii	ii	NOUN
ejpam-5784	99	3	)	)	PUNCT
ejpam-5784	99	4	lρ	lρ	X
ejpam-5784	99	5	{	{	PUNCT
ejpam-5784	99	6	aφ	aφ	NOUN
ejpam-5784	99	7	(	(	PUNCT
ejpam-5784	99	8	ς	ς	PROPN
ejpam-5784	99	9	,	,	PUNCT
ejpam-5784	99	10	τ	τ	X
ejpam-5784	99	11	)	)	PUNCT
ejpam-5784	99	12	+	+	CCONJ
ejpam-5784	99	13	bψ	bψ	NOUN
ejpam-5784	99	14	(	(	PUNCT
ejpam-5784	99	15	ς	ς	PROPN
ejpam-5784	99	16	,	,	PUNCT
ejpam-5784	99	17	τ	τ	NOUN
ejpam-5784	99	18	)	)	PUNCT
ejpam-5784	99	19	}	}	PUNCT
ejpam-5784	99	20	=	=	SYM
ejpam-5784	99	21	aφ	aφ	ADP
ejpam-5784	99	22	(	(	PUNCT
ejpam-5784	99	23	ς	ς	PROPN
ejpam-5784	99	24	,	,	PUNCT
ejpam-5784	99	25	ξ	ξ	NOUN
ejpam-5784	99	26	)	)	PUNCT
ejpam-5784	100	1	+	+	CCONJ
ejpam-5784	100	2	bψ	bψ	NOUN
ejpam-5784	100	3	(	(	PUNCT
ejpam-5784	100	4	ς	ς	PROPN
ejpam-5784	100	5	,	,	PUNCT
ejpam-5784	100	6	ξ	ξ	NOUN
ejpam-5784	100	7	)	)	PUNCT
ejpam-5784	100	8	,	,	PUNCT
ejpam-5784	100	9	for	for	ADP
ejpam-5784	100	10	non	non	ADJ
ejpam-5784	100	11	-	-	ADJ
ejpam-5784	100	12	zero	zero	NUM
ejpam-5784	100	13	constants	constant	NOUN
ejpam-5784	100	14	any	any	DET
ejpam-5784	100	15	a	a	PRON
ejpam-5784	100	16	,	,	PUNCT
ejpam-5784	100	17	and	and	CCONJ
ejpam-5784	100	18	b.	b.	PROPN
ejpam-5784	100	19	(	(	PUNCT
ejpam-5784	100	20	iii	iii	NOUN
ejpam-5784	100	21	)	)	PUNCT
ejpam-5784	100	22	l−1	l−1	PROPN
ejpam-5784	100	23	ρ	ρ	PROPN
ejpam-5784	100	24	{	{	PUNCT
ejpam-5784	100	25	aφ	aφ	NOUN
ejpam-5784	100	26	(	(	PUNCT
ejpam-5784	100	27	ς	ς	PROPN
ejpam-5784	100	28	,	,	PUNCT
ejpam-5784	100	29	ξ	ξ	NOUN
ejpam-5784	100	30	)	)	PUNCT
ejpam-5784	100	31	+	+	CCONJ
ejpam-5784	100	32	bψ	bψ	NOUN
ejpam-5784	100	33	(	(	PUNCT
ejpam-5784	100	34	ς	ς	PROPN
ejpam-5784	100	35	,	,	PUNCT
ejpam-5784	100	36	ξ	ξ	NOUN
ejpam-5784	100	37	)	)	PUNCT
ejpam-5784	100	38	}	}	PUNCT
ejpam-5784	100	39	=	=	SYM
ejpam-5784	100	40	aφ	aφ	ADP
ejpam-5784	100	41	(	(	PUNCT
ejpam-5784	100	42	ς	ς	PROPN
ejpam-5784	100	43	,	,	PUNCT
ejpam-5784	100	44	τ	τ	X
ejpam-5784	100	45	)	)	PUNCT
ejpam-5784	100	46	+	+	CCONJ
ejpam-5784	100	47	bψ	bψ	NOUN
ejpam-5784	100	48	(	(	PUNCT
ejpam-5784	100	49	ς	ς	PROPN
ejpam-5784	100	50	,	,	PUNCT
ejpam-5784	100	51	τ	τ	PROPN
ejpam-5784	100	52	)	)	PUNCT
ejpam-5784	100	53	.	.	PUNCT
ejpam-5784	101	1	(	(	PUNCT
ejpam-5784	101	2	iv	iv	X
ejpam-5784	101	3	)	)	PUNCT
ejpam-5784	101	4	lρ	lρ	ADP
ejpam-5784	101	5	{	{	PUNCT
ejpam-5784	101	6	dρφ	dρφ	PROPN
ejpam-5784	101	7	(	(	PUNCT
ejpam-5784	101	8	ς	ς	PROPN
ejpam-5784	101	9	,	,	PUNCT
ejpam-5784	101	10	τ	τ	NOUN
ejpam-5784	101	11	)	)	PUNCT
ejpam-5784	101	12	}	}	PUNCT
ejpam-5784	101	13	=	=	SYM
ejpam-5784	101	14	ξρφ	ξρφ	X
ejpam-5784	101	15	(	(	PUNCT
ejpam-5784	101	16	ς	ς	PROPN
ejpam-5784	101	17	,	,	PUNCT
ejpam-5784	101	18	ξ)−	ξ)−	PROPN
ejpam-5784	101	19	j−1∑	j−1∑	NUM
ejpam-5784	101	20	i=0	i=0	PROPN
ejpam-5784	101	21	ξρ−i−1∂	ξρ−i−1∂	PROPN
ejpam-5784	101	22	(	(	PUNCT
ejpam-5784	101	23	i	i	NOUN
ejpam-5784	101	24	)	)	PUNCT
ejpam-5784	101	25	t	t	PROPN
ejpam-5784	101	26	ϕ	ϕ	PROPN
ejpam-5784	101	27	(	(	PUNCT
ejpam-5784	101	28	ς	ς	PROPN
ejpam-5784	101	29	,	,	PUNCT
ejpam-5784	101	30	0	0	NUM
ejpam-5784	101	31	)	)	PUNCT
ejpam-5784	101	32	,	,	PUNCT
ejpam-5784	101	33	j	j	PROPN
ejpam-5784	102	1	−	−	PROPN
ejpam-5784	102	2	1	1	NUM
ejpam-5784	102	3	<	<	X
ejpam-5784	102	4	ρ	ρ	PROPN
ejpam-5784	102	5	≤	≤	PROPN
ejpam-5784	102	6	j	j	PROPN
ejpam-5784	102	7	,	,	PUNCT
ejpam-5784	102	8	j	j	PROPN
ejpam-5784	102	9	∈	∈	PROPN
ejpam-5784	102	10	n.	n.	PROPN
ejpam-5784	102	11	m.	m.	PROPN
ejpam-5784	102	12	alaroud	alaroud	PROPN
ejpam-5784	102	13	,	,	PUNCT
ejpam-5784	102	14	f.	f.	PROPN
ejpam-5784	102	15	aldosari	aldosari	PROPN
ejpam-5784	102	16	/	/	SYM
ejpam-5784	102	17	eur	eur	PROPN
ejpam-5784	102	18	.	.	PUNCT
ejpam-5784	103	1	j.	j.	PROPN
ejpam-5784	103	2	pure	pure	PROPN
ejpam-5784	103	3	appl	appl	PROPN
ejpam-5784	103	4	.	.	PROPN
ejpam-5784	103	5	math	math	PROPN
ejpam-5784	103	6	,	,	PUNCT
ejpam-5784	103	7	18	18	NUM
ejpam-5784	103	8	(	(	PUNCT
ejpam-5784	103	9	1	1	NUM
ejpam-5784	103	10	)	)	PUNCT
ejpam-5784	103	11	(	(	PUNCT
ejpam-5784	103	12	2025	2025	NUM
ejpam-5784	103	13	)	)	PUNCT
ejpam-5784	103	14	,	,	PUNCT
ejpam-5784	103	15	5784	5784	NUM
ejpam-5784	103	16	6	6	NUM
ejpam-5784	103	17	of	of	ADP
ejpam-5784	103	18	25	25	NUM
ejpam-5784	103	19	(	(	PUNCT
ejpam-5784	103	20	v	v	NOUN
ejpam-5784	103	21	)	)	PUNCT
ejpam-5784	103	22	lρ	lρ	PROPN
ejpam-5784	103	23	{	{	PUNCT
ejpam-5784	103	24	dkρφ	dkρφ	PROPN
ejpam-5784	103	25	(	(	PUNCT
ejpam-5784	103	26	ς	ς	PROPN
ejpam-5784	103	27	,	,	PUNCT
ejpam-5784	103	28	τ	τ	PROPN
ejpam-5784	103	29	)	)	PUNCT
ejpam-5784	103	30	}	}	PUNCT
ejpam-5784	103	31	=	=	SYM
ejpam-5784	104	1	ξkρφ	ξkρφ	NOUN
ejpam-5784	104	2	(	(	PUNCT
ejpam-5784	104	3	ς	ς	PROPN
ejpam-5784	104	4	,	,	PUNCT
ejpam-5784	104	5	ξ)−	ξ)−	PROPN
ejpam-5784	104	6	k−1∑	k−1∑	PROPN
ejpam-5784	104	7	i=0	i=0	PROPN
ejpam-5784	104	8	ξ(k−i)ρ−1∂iρτ	ξ(k−i)ρ−1∂iρτ	PROPN
ejpam-5784	104	9	ϕ	ϕ	PROPN
ejpam-5784	104	10	(	(	PUNCT
ejpam-5784	104	11	ς	ς	PROPN
ejpam-5784	104	12	,	,	PUNCT
ejpam-5784	104	13	0	0	NUM
ejpam-5784	104	14	)	)	PUNCT
ejpam-5784	104	15	,	,	PUNCT
ejpam-5784	104	16	0	0	NUM
ejpam-5784	104	17	<	<	X
ejpam-5784	104	18	ρ	ρ	PROPN
ejpam-5784	104	19	≤	≤	NUM
ejpam-5784	104	20	1	1	NUM
ejpam-5784	104	21	,	,	PUNCT
ejpam-5784	104	22	k	k	PROPN
ejpam-5784	104	23	∈	∈	PROPN
ejpam-5784	104	24	n.	n.	NOUN
ejpam-5784	104	25	where	where	SCONJ
ejpam-5784	104	26	lρ	lρ	ADP
ejpam-5784	104	27	{	{	PUNCT
ejpam-5784	104	28	φ	φ	PROPN
ejpam-5784	104	29	(	(	PUNCT
ejpam-5784	104	30	ς	ς	PROPN
ejpam-5784	104	31	,	,	PUNCT
ejpam-5784	104	32	ξ	ξ	NOUN
ejpam-5784	104	33	)	)	PUNCT
ejpam-5784	104	34	}	}	PUNCT
ejpam-5784	104	35	=	=	SYM
ejpam-5784	105	1	φ(ς	φ(ς	ADJ
ejpam-5784	105	2	,	,	PUNCT
ejpam-5784	105	3	ξ	ξ	NOUN
ejpam-5784	105	4	)	)	PUNCT
ejpam-5784	105	5	,	,	PUNCT
ejpam-5784	105	6	and	and	CCONJ
ejpam-5784	105	7	lρ	lρ	ADP
ejpam-5784	105	8	{	{	PUNCT
ejpam-5784	105	9	ψ	ψ	X
ejpam-5784	105	10	(	(	PUNCT
ejpam-5784	105	11	ς	ς	PROPN
ejpam-5784	105	12	,	,	PUNCT
ejpam-5784	105	13	ξ	ξ	NOUN
ejpam-5784	105	14	)	)	PUNCT
ejpam-5784	105	15	}	}	PUNCT
ejpam-5784	105	16	=	=	SYM
ejpam-5784	105	17	ψ	ψ	X
ejpam-5784	105	18	(	(	PUNCT
ejpam-5784	105	19	ς	ς	PROPN
ejpam-5784	105	20	,	,	PUNCT
ejpam-5784	105	21	ξ	ξ	NOUN
ejpam-5784	105	22	)	)	PUNCT
ejpam-5784	105	23	.	.	PUNCT
ejpam-5784	106	1	definition	definition	NOUN
ejpam-5784	106	2	2	2	NUM
ejpam-5784	106	3	.	.	PUNCT
ejpam-5784	107	1	[	[	X
ejpam-5784	107	2	35	35	NUM
ejpam-5784	107	3	,	,	PUNCT
ejpam-5784	107	4	38	38	NUM
ejpam-5784	107	5	]	]	PUNCT
ejpam-5784	107	6	the	the	DET
ejpam-5784	107	7	ρ	ρ	PROPN
ejpam-5784	107	8	-	-	PUNCT
ejpam-5784	107	9	th	th	VERB
ejpam-5784	107	10	time	time	NOUN
ejpam-5784	107	11	fd	fd	X
ejpam-5784	107	12	in	in	ADP
ejpam-5784	107	13	the	the	DET
ejpam-5784	107	14	caputo	caputo	PROPN
ejpam-5784	107	15	sense	sense	NOUN
ejpam-5784	107	16	of	of	ADP
ejpam-5784	107	17	φ	φ	PROPN
ejpam-5784	107	18	(	(	PUNCT
ejpam-5784	107	19	ς	ς	PROPN
ejpam-5784	107	20	,	,	PUNCT
ejpam-5784	107	21	τ	τ	PROPN
ejpam-5784	107	22	)	)	PUNCT
ejpam-5784	107	23	:	:	PUNCT
ejpam-5784	107	24	i×	i×	PROPN
ejpam-5784	108	1	[	[	X
ejpam-5784	108	2	0,∞	0,∞	NUM
ejpam-5784	108	3	)	)	PUNCT
ejpam-5784	108	4	→	→	SYM
ejpam-5784	108	5	r	r	X
ejpam-5784	108	6	,	,	PUNCT
ejpam-5784	108	7	is	be	AUX
ejpam-5784	108	8	given	give	VERB
ejpam-5784	108	9	by	by	ADP
ejpam-5784	108	10	:	:	PUNCT
ejpam-5784	108	11	dρφ	dρφ	PROPN
ejpam-5784	108	12	(	(	PUNCT
ejpam-5784	108	13	ς	ς	PROPN
ejpam-5784	108	14	,	,	PUNCT
ejpam-5784	108	15	τ	τ	NOUN
ejpam-5784	108	16	)	)	PUNCT
ejpam-5784	108	17	=	=	SYM
ejpam-5784	108	18	jm−ρ	jm−ρ	NOUN
ejpam-5784	108	19	(	(	PUNCT
ejpam-5784	108	20	∂mς	∂mς	NOUN
ejpam-5784	108	21	φ	φ	PROPN
ejpam-5784	108	22	(	(	PUNCT
ejpam-5784	108	23	ς	ς	PROPN
ejpam-5784	108	24	,	,	PUNCT
ejpam-5784	108	25	τ	τ	PROPN
ejpam-5784	108	26	)	)	PUNCT
ejpam-5784	108	27	)	)	PUNCT
ejpam-5784	108	28	:	:	PUNCT
ejpam-5784	109	1	ρ	ρ	PROPN
ejpam-5784	109	2	∈	∈	PROPN
ejpam-5784	109	3	(	(	PUNCT
ejpam-5784	109	4	m−	m−	PROPN
ejpam-5784	109	5	1,m	1,m	PROPN
ejpam-5784	109	6	)	)	PUNCT
ejpam-5784	109	7	,	,	PUNCT
ejpam-5784	109	8	m	m	VERB
ejpam-5784	109	9	∈	∈	PROPN
ejpam-5784	109	10	n	n	CCONJ
ejpam-5784	109	11	,	,	PUNCT
ejpam-5784	109	12	(	(	PUNCT
ejpam-5784	109	13	6	6	NUM
ejpam-5784	109	14	)	)	PUNCT
ejpam-5784	109	15	where	where	SCONJ
ejpam-5784	109	16	jm−ρis	jm−ρis	PROPN
ejpam-5784	109	17	the	the	DET
ejpam-5784	109	18	riemann	riemann	PROPN
ejpam-5784	109	19	-	-	PUNCT
ejpam-5784	109	20	liouville	liouville	VERB
ejpam-5784	109	21	integral	integral	ADJ
ejpam-5784	109	22	approach	approach	NOUN
ejpam-5784	109	23	[	[	X
ejpam-5784	109	24	35	35	NUM
ejpam-5784	109	25	,	,	PUNCT
ejpam-5784	109	26	38	38	NUM
ejpam-5784	109	27	]	]	PUNCT
ejpam-5784	109	28	.	.	PUNCT
ejpam-5784	110	1	theorem	theorem	NOUN
ejpam-5784	110	2	1	1	NUM
ejpam-5784	110	3	.	.	PUNCT
ejpam-5784	111	1	[	[	X
ejpam-5784	111	2	19	19	NUM
ejpam-5784	111	3	]	]	PUNCT
ejpam-5784	111	4	let	let	VERB
ejpam-5784	111	5	φ	φ	PROPN
ejpam-5784	111	6	(	(	PUNCT
ejpam-5784	111	7	ς	ς	PROPN
ejpam-5784	111	8	,	,	PUNCT
ejpam-5784	111	9	τ	τ	X
ejpam-5784	111	10	)	)	PUNCT
ejpam-5784	111	11	is	be	AUX
ejpam-5784	111	12	to	to	ADP
ejpam-5784	111	13	exponential	exponential	ADJ
ejpam-5784	111	14	order	order	NOUN
ejpam-5784	111	15	,	,	PUNCT
ejpam-5784	111	16	and	and	CCONJ
ejpam-5784	111	17	piecewise	piecewise	VERB
ejpam-5784	111	18	continuous	continuous	ADJ
ejpam-5784	111	19	function	function	NOUN
ejpam-5784	111	20	on	on	ADP
ejpam-5784	111	21	i	i	PRON
ejpam-5784	111	22	×	×	NOUN
ejpam-5784	112	1	[	[	X
ejpam-5784	112	2	0,∞	0,∞	NOUN
ejpam-5784	112	3	)	)	PUNCT
ejpam-5784	112	4	,	,	PUNCT
ejpam-5784	112	5	then	then	ADV
ejpam-5784	112	6	the	the	DET
ejpam-5784	112	7	new	new	ADJ
ejpam-5784	112	8	transformation	transformation	NOUN
ejpam-5784	112	9	function	function	NOUN
ejpam-5784	112	10	φ	φ	PROPN
ejpam-5784	112	11	(	(	PUNCT
ejpam-5784	112	12	ς	ς	PROPN
ejpam-5784	112	13	,	,	PUNCT
ejpam-5784	112	14	ξ	ξ	NOUN
ejpam-5784	112	15	)	)	PUNCT
ejpam-5784	112	16	,	,	PUNCT
ejpam-5784	112	17	may	may	AUX
ejpam-5784	112	18	be	be	AUX
ejpam-5784	112	19	formulated	formulate	VERB
ejpam-5784	112	20	as	as	ADP
ejpam-5784	112	21	in	in	ADP
ejpam-5784	112	22	the	the	DET
ejpam-5784	112	23	following	follow	VERB
ejpam-5784	112	24	laplace	laplace	NOUN
ejpam-5784	112	25	fractional	fractional	PROPN
ejpam-5784	112	26	power	power	NOUN
ejpam-5784	112	27	series	series	PROPN
ejpam-5784	112	28	(	(	PUNCT
ejpam-5784	112	29	lfps	lfps	NOUN
ejpam-5784	112	30	)	)	PUNCT
ejpam-5784	112	31	expansion	expansion	NOUN
ejpam-5784	112	32	:	:	PUNCT
ejpam-5784	112	33	φ	φ	PROPN
ejpam-5784	112	34	(	(	PUNCT
ejpam-5784	112	35	ς	ς	PROPN
ejpam-5784	112	36	,	,	PUNCT
ejpam-5784	112	37	ξ	ξ	NOUN
ejpam-5784	112	38	)	)	PUNCT
ejpam-5784	112	39	=	=	PUNCT
ejpam-5784	113	1	∞∑	∞∑	NUM
ejpam-5784	113	2	i=0	i=0	PROPN
ejpam-5784	113	3	φi(ς	φi(ς	NOUN
ejpam-5784	113	4	)	)	PUNCT
ejpam-5784	113	5	ξiρ+1	ξiρ+1	X
ejpam-5784	113	6	ξ	ξ	X
ejpam-5784	113	7	>	>	PUNCT
ejpam-5784	113	8	0	0	PROPN
ejpam-5784	113	9	,	,	PUNCT
ejpam-5784	113	10	ρ	ρ	PROPN
ejpam-5784	113	11	∈	∈	PROPN
ejpam-5784	113	12	(	(	PUNCT
ejpam-5784	113	13	0	0	NUM
ejpam-5784	113	14	,	,	PUNCT
ejpam-5784	113	15	1	1	NUM
ejpam-5784	113	16	]	]	PUNCT
ejpam-5784	113	17	,	,	PUNCT
ejpam-5784	113	18	(	(	PUNCT
ejpam-5784	113	19	7	7	X
ejpam-5784	113	20	)	)	PUNCT
ejpam-5784	113	21	where	where	SCONJ
ejpam-5784	113	22	φi(ς	φi(ς	NOUN
ejpam-5784	113	23	)	)	PUNCT
ejpam-5784	113	24	=	=	VERB
ejpam-5784	114	1	diρφ	diρφ	NOUN
ejpam-5784	114	2	(	(	PUNCT
ejpam-5784	114	3	ς	ς	PROPN
ejpam-5784	114	4	,	,	PUNCT
ejpam-5784	114	5	0	0	NUM
ejpam-5784	114	6	)	)	PUNCT
ejpam-5784	114	7	.	.	PUNCT
ejpam-5784	115	1	remark	remark	PROPN
ejpam-5784	115	2	1	1	NUM
ejpam-5784	115	3	.	.	PUNCT
ejpam-5784	116	1	[	[	X
ejpam-5784	116	2	19	19	NUM
ejpam-5784	116	3	]	]	PUNCT
ejpam-5784	116	4	the	the	DET
ejpam-5784	116	5	inverse	inverse	NOUN
ejpam-5784	116	6	lt	lt	NOUN
ejpam-5784	116	7	of	of	ADP
ejpam-5784	116	8	the	the	DET
ejpam-5784	116	9	new	new	ADJ
ejpam-5784	116	10	lfps	lfps	NOUN
ejpam-5784	116	11	expansion	expansion	NOUN
ejpam-5784	116	12	φ	φ	X
ejpam-5784	116	13	(	(	PUNCT
ejpam-5784	116	14	ς	ς	PROPN
ejpam-5784	116	15	,	,	PUNCT
ejpam-5784	116	16	ξ	ξ	NOUN
ejpam-5784	116	17	)	)	PUNCT
ejpam-5784	116	18	in	in	ADP
ejpam-5784	116	19	theorem	theorem	NOUN
ejpam-5784	116	20	1	1	NUM
ejpam-5784	116	21	takes	take	VERB
ejpam-5784	116	22	the	the	DET
ejpam-5784	116	23	following	follow	VERB
ejpam-5784	116	24	infinite	infinite	ADJ
ejpam-5784	116	25	series	series	NOUN
ejpam-5784	116	26	shape	shape	NOUN
ejpam-5784	116	27	:	:	PUNCT
ejpam-5784	116	28	φ	φ	PROPN
ejpam-5784	116	29	(	(	PUNCT
ejpam-5784	116	30	ς	ς	PROPN
ejpam-5784	116	31	,	,	PUNCT
ejpam-5784	116	32	τ	τ	X
ejpam-5784	116	33	)	)	PUNCT
ejpam-5784	116	34	=	=	PUNCT
ejpam-5784	117	1	∞∑	∞∑	NUM
ejpam-5784	117	2	i=0	i=0	ADJ
ejpam-5784	117	3	φi(ς	φi(ς	NOUN
ejpam-5784	117	4	)	)	PUNCT
ejpam-5784	117	5	γ	γ	PROPN
ejpam-5784	117	6	(	(	PUNCT
ejpam-5784	117	7	iρ+	iρ+	NOUN
ejpam-5784	117	8	1	1	NUM
ejpam-5784	117	9	)	)	PUNCT
ejpam-5784	117	10	τ	τ	PROPN
ejpam-5784	117	11	jρ	jρ	PROPN
ejpam-5784	117	12	,	,	PUNCT
ejpam-5784	117	13	τ	τ	PROPN
ejpam-5784	117	14	≥	≥	NOUN
ejpam-5784	117	15	0	0	NUM
ejpam-5784	117	16	,	,	PUNCT
ejpam-5784	117	17	ρ	ρ	PROPN
ejpam-5784	117	18	∈	∈	PROPN
ejpam-5784	117	19	(	(	PUNCT
ejpam-5784	117	20	0	0	NUM
ejpam-5784	117	21	,	,	PUNCT
ejpam-5784	117	22	1	1	NUM
ejpam-5784	117	23	]	]	PUNCT
ejpam-5784	117	24	.	.	PUNCT
ejpam-5784	118	1	(	(	PUNCT
ejpam-5784	118	2	8)	8)	NUM
ejpam-5784	118	3	hereinafter	hereinafter	NOUN
ejpam-5784	118	4	,	,	PUNCT
ejpam-5784	118	5	the	the	DET
ejpam-5784	118	6	road	road	NOUN
ejpam-5784	118	7	map	map	NOUN
ejpam-5784	118	8	to	to	PART
ejpam-5784	118	9	design	design	VERB
ejpam-5784	118	10	the	the	DET
ejpam-5784	118	11	lt	lt	PROPN
ejpam-5784	118	12	-	-	PUNCT
ejpam-5784	118	13	rfps	rfps	PROPN
ejpam-5784	118	14	method	method	NOUN
ejpam-5784	118	15	for	for	ADP
ejpam-5784	118	16	generating	generate	VERB
ejpam-5784	118	17	analytical	analytical	ADJ
ejpam-5784	118	18	approximate	approximate	ADJ
ejpam-5784	118	19	series	series	PROPN
ejpam-5784	118	20	solutions	solution	NOUN
ejpam-5784	118	21	of	of	ADP
ejpam-5784	118	22	general	general	ADJ
ejpam-5784	118	23	nonlinear	nonlinear	PROPN
ejpam-5784	118	24	systems	system	NOUN
ejpam-5784	118	25	of	of	ADP
ejpam-5784	118	26	partial	partial	ADJ
ejpam-5784	118	27	des	de	NOUN
ejpam-5784	118	28	of	of	ADP
ejpam-5784	118	29	fractional	fractional	ADJ
ejpam-5784	118	30	order	order	NOUN
ejpam-5784	118	31	considering	consider	VERB
ejpam-5784	118	32	the	the	DET
ejpam-5784	118	33	caputo	caputo	PROPN
ejpam-5784	118	34	-	-	PUNCT
ejpam-5784	118	35	fd	fd	PROPN
ejpam-5784	118	36	sense	sense	NOUN
ejpam-5784	118	37	.	.	PUNCT
ejpam-5784	119	1	3	3	X
ejpam-5784	119	2	.	.	X
ejpam-5784	119	3	configuration	configuration	NOUN
ejpam-5784	119	4	for	for	ADP
ejpam-5784	119	5	the	the	DET
ejpam-5784	119	6	lt	lt	PROPN
ejpam-5784	119	7	-	-	PUNCT
ejpam-5784	119	8	rfps	rfps	NOUN
ejpam-5784	119	9	technique	technique	NOUN
ejpam-5784	119	10	a	a	DET
ejpam-5784	119	11	powerful	powerful	ADJ
ejpam-5784	119	12	analytical	analytical	ADJ
ejpam-5784	119	13	approximation	approximation	NOUN
ejpam-5784	119	14	mathematical	mathematical	ADJ
ejpam-5784	119	15	tool	tool	NOUN
ejpam-5784	119	16	was	be	AUX
ejpam-5784	119	17	suggested	suggest	VERB
ejpam-5784	119	18	and	and	CCONJ
ejpam-5784	119	19	proved	prove	VERB
ejpam-5784	119	20	by	by	ADP
ejpam-5784	119	21	[	[	X
ejpam-5784	119	22	19	19	NUM
ejpam-5784	119	23	]	]	PUNCT
ejpam-5784	119	24	especially	especially	ADV
ejpam-5784	119	25	to	to	PART
ejpam-5784	119	26	produce	produce	VERB
ejpam-5784	119	27	convergence	convergence	NOUN
ejpam-5784	119	28	series	series	NOUN
ejpam-5784	119	29	approximate	approximate	ADJ
ejpam-5784	119	30	solutions	solution	NOUN
ejpam-5784	119	31	for	for	ADP
ejpam-5784	119	32	a	a	DET
ejpam-5784	119	33	set	set	NOUN
ejpam-5784	119	34	of	of	ADP
ejpam-5784	119	35	complex	complex	ADJ
ejpam-5784	119	36	non	non	ADJ
ejpam-5784	119	37	-	-	ADJ
ejpam-5784	119	38	linear	linear	ADJ
ejpam-5784	119	39	partial	partial	ADJ
ejpam-5784	119	40	des	de	NOUN
ejpam-5784	119	41	that	that	PRON
ejpam-5784	119	42	occur	occur	VERB
ejpam-5784	119	43	in	in	ADP
ejpam-5784	119	44	physics	physics	NOUN
ejpam-5784	119	45	.	.	PUNCT
ejpam-5784	120	1	the	the	DET
ejpam-5784	120	2	primary	primary	ADJ
ejpam-5784	120	3	idea	idea	NOUN
ejpam-5784	120	4	of	of	ADP
ejpam-5784	120	5	the	the	DET
ejpam-5784	120	6	present	present	ADJ
ejpam-5784	120	7	technique	technique	NOUN
ejpam-5784	120	8	is	be	AUX
ejpam-5784	120	9	based	base	VERB
ejpam-5784	120	10	on	on	ADP
ejpam-5784	120	11	increasing	increase	VERB
ejpam-5784	120	12	the	the	DET
ejpam-5784	120	13	effectiveness	effectiveness	NOUN
ejpam-5784	120	14	of	of	ADP
ejpam-5784	120	15	frps	frps	NOUN
ejpam-5784	120	16	algorithm	algorithm	NOUN
ejpam-5784	120	17	via	via	ADP
ejpam-5784	120	18	blending	blend	VERB
ejpam-5784	120	19	it	it	PRON
ejpam-5784	120	20	with	with	ADP
ejpam-5784	120	21	the	the	DET
ejpam-5784	120	22	lt	lt	DET
ejpam-5784	120	23	tool	tool	NOUN
ejpam-5784	120	24	.	.	PUNCT
ejpam-5784	121	1	numerous	numerous	ADJ
ejpam-5784	121	2	physical	physical	ADJ
ejpam-5784	121	3	problems	problem	NOUN
ejpam-5784	121	4	have	have	AUX
ejpam-5784	121	5	been	be	AUX
ejpam-5784	121	6	studied	study	VERB
ejpam-5784	121	7	using	use	VERB
ejpam-5784	121	8	the	the	DET
ejpam-5784	121	9	suggested	suggest	VERB
ejpam-5784	121	10	methodology	methodology	NOUN
ejpam-5784	121	11	,	,	PUNCT
ejpam-5784	121	12	including	include	VERB
ejpam-5784	121	13	fractional	fractional	ADJ
ejpam-5784	121	14	generalized	generalize	VERB
ejpam-5784	121	15	long	long	ADJ
ejpam-5784	121	16	wave	wave	NOUN
ejpam-5784	121	17	equations	equation	NOUN
ejpam-5784	122	1	[	[	X
ejpam-5784	122	2	50	50	NUM
ejpam-5784	122	3	]	]	PUNCT
ejpam-5784	122	4	,	,	PUNCT
ejpam-5784	122	5	fractional	fractional	ADJ
ejpam-5784	122	6	caudrey	caudrey	PROPN
ejpam-5784	122	7	-	-	PUNCT
ejpam-5784	122	8	dodd	dodd	PROPN
ejpam-5784	122	9	gibbon	gibbon	NOUN
ejpam-5784	122	10	equation	equation	NOUN
ejpam-5784	123	1	[	[	X
ejpam-5784	123	2	1	1	NUM
ejpam-5784	123	3	]	]	PUNCT
ejpam-5784	123	4	,	,	PUNCT
ejpam-5784	123	5	fractional	fractional	ADJ
ejpam-5784	123	6	kuramoto	kuramoto	NOUN
ejpam-5784	123	7	-	-	PUNCT
ejpam-5784	123	8	sivashinsky	sivashinsky	NOUN
ejpam-5784	123	9	equation	equation	NOUN
ejpam-5784	123	10	[	[	X
ejpam-5784	123	11	10	10	NUM
ejpam-5784	123	12	]	]	PUNCT
ejpam-5784	123	13	,	,	PUNCT
ejpam-5784	123	14	the	the	DET
ejpam-5784	123	15	buckmaster	buckmaster	NOUN
ejpam-5784	123	16	and	and	CCONJ
ejpam-5784	123	17	korteweg	korteweg	PROPN
ejpam-5784	123	18	-	-	PUNCT
ejpam-5784	123	19	de	de	PROPN
ejpam-5784	123	20	vries	vries	PROPN
ejpam-5784	123	21	(	(	PUNCT
ejpam-5784	123	22	kdv	kdv	NOUN
ejpam-5784	123	23	)	)	PUNCT
ejpam-5784	123	24	models	model	NOUN
ejpam-5784	123	25	[	[	X
ejpam-5784	123	26	41	41	NUM
ejpam-5784	123	27	]	]	PUNCT
ejpam-5784	123	28	.	.	PUNCT
ejpam-5784	124	1	the	the	DET
ejpam-5784	124	2	suggested	suggest	VERB
ejpam-5784	124	3	method	method	NOUN
ejpam-5784	124	4	’s	’s	PART
ejpam-5784	124	5	set	set	NOUN
ejpam-5784	124	6	of	of	ADP
ejpam-5784	124	7	guidelines	guideline	NOUN
ejpam-5784	124	8	is	be	AUX
ejpam-5784	124	9	based	base	VERB
ejpam-5784	124	10	on	on	ADP
ejpam-5784	124	11	transforming	transform	VERB
ejpam-5784	124	12	the	the	DET
ejpam-5784	124	13	governing	govern	VERB
ejpam-5784	124	14	equation	equation	NOUN
ejpam-5784	124	15	into	into	ADP
ejpam-5784	124	16	the	the	DET
ejpam-5784	124	17	lt	lt	DET
ejpam-5784	124	18	space	space	NOUN
ejpam-5784	124	19	,	,	PUNCT
ejpam-5784	124	20	generating	generate	VERB
ejpam-5784	124	21	an	an	DET
ejpam-5784	124	22	approximation	approximation	NOUN
ejpam-5784	124	23	series	series	NOUN
ejpam-5784	124	24	solution	solution	NOUN
ejpam-5784	124	25	to	to	ADP
ejpam-5784	124	26	the	the	DET
ejpam-5784	124	27	new	new	ADJ
ejpam-5784	124	28	laplace	laplace	NOUN
ejpam-5784	124	29	equation	equation	NOUN
ejpam-5784	124	30	,	,	PUNCT
ejpam-5784	124	31	and	and	CCONJ
ejpam-5784	124	32	then	then	ADV
ejpam-5784	124	33	using	use	VERB
ejpam-5784	124	34	the	the	DET
ejpam-5784	124	35	inverse	inverse	NOUN
ejpam-5784	124	36	lt	lt	NOUN
ejpam-5784	124	37	to	to	PART
ejpam-5784	124	38	produce	produce	VERB
ejpam-5784	124	39	an	an	DET
ejpam-5784	124	40	approximation	approximation	NOUN
ejpam-5784	124	41	series	series	NOUN
ejpam-5784	124	42	solution	solution	NOUN
ejpam-5784	124	43	to	to	ADP
ejpam-5784	124	44	the	the	DET
ejpam-5784	124	45	governing	governing	NOUN
ejpam-5784	124	46	problem	problem	NOUN
ejpam-5784	124	47	.	.	PUNCT
ejpam-5784	125	1	the	the	DET
ejpam-5784	125	2	detecting	detecting	NOUN
ejpam-5784	125	3	of	of	ADP
ejpam-5784	125	4	the	the	DET
ejpam-5784	125	5	expansion	expansion	NOUN
ejpam-5784	125	6	parameters	parameter	NOUN
ejpam-5784	125	7	can	can	AUX
ejpam-5784	125	8	be	be	AUX
ejpam-5784	125	9	carried	carry	VERB
ejpam-5784	125	10	out	out	ADP
ejpam-5784	125	11	through	through	ADP
ejpam-5784	125	12	a	a	DET
ejpam-5784	125	13	small	small	ADJ
ejpam-5784	125	14	number	number	NOUN
ejpam-5784	125	15	of	of	ADP
ejpam-5784	125	16	calculations	calculation	NOUN
ejpam-5784	125	17	,	,	PUNCT
ejpam-5784	125	18	with	with	ADP
ejpam-5784	125	19	no	no	PRON
ejpam-5784	125	20	requiring	require	VERB
ejpam-5784	125	21	many	many	ADJ
ejpam-5784	125	22	iterations	iteration	NOUN
ejpam-5784	125	23	of	of	ADP
ejpam-5784	125	24	m.	m.	NOUN
ejpam-5784	125	25	alaroud	alaroud	PROPN
ejpam-5784	125	26	,	,	PUNCT
ejpam-5784	125	27	f.	f.	PROPN
ejpam-5784	125	28	aldosari	aldosari	PROPN
ejpam-5784	125	29	/	/	SYM
ejpam-5784	125	30	eur	eur	PROPN
ejpam-5784	125	31	.	.	PUNCT
ejpam-5784	126	1	j.	j.	PROPN
ejpam-5784	126	2	pure	pure	PROPN
ejpam-5784	126	3	appl	appl	PROPN
ejpam-5784	126	4	.	.	PROPN
ejpam-5784	126	5	math	math	PROPN
ejpam-5784	126	6	,	,	PUNCT
ejpam-5784	126	7	18	18	NUM
ejpam-5784	126	8	(	(	PUNCT
ejpam-5784	126	9	1	1	NUM
ejpam-5784	126	10	)	)	PUNCT
ejpam-5784	126	11	(	(	PUNCT
ejpam-5784	126	12	2025	2025	NUM
ejpam-5784	126	13	)	)	PUNCT
ejpam-5784	126	14	,	,	PUNCT
ejpam-5784	126	15	5784	5784	NUM
ejpam-5784	126	16	7	7	NUM
ejpam-5784	126	17	of	of	ADP
ejpam-5784	126	18	25	25	NUM
ejpam-5784	126	19	fd	fd	NOUN
ejpam-5784	126	20	calculations	calculation	NOUN
ejpam-5784	126	21	during	during	ADP
ejpam-5784	126	22	the	the	DET
ejpam-5784	126	23	solution	solution	NOUN
ejpam-5784	126	24	stages	stage	NOUN
ejpam-5784	126	25	as	as	ADP
ejpam-5784	126	26	in	in	ADP
ejpam-5784	126	27	the	the	DET
ejpam-5784	126	28	methodology	methodology	NOUN
ejpam-5784	126	29	of	of	ADP
ejpam-5784	126	30	the	the	DET
ejpam-5784	126	31	rfps	rfps	PROPN
ejpam-5784	126	32	algorithm	algorithm	NOUN
ejpam-5784	126	33	.	.	PUNCT
ejpam-5784	127	1	our	our	PRON
ejpam-5784	127	2	purpose	purpose	NOUN
ejpam-5784	127	3	in	in	ADP
ejpam-5784	127	4	this	this	DET
ejpam-5784	127	5	portion	portion	NOUN
ejpam-5784	127	6	of	of	ADP
ejpam-5784	127	7	the	the	DET
ejpam-5784	127	8	research	research	NOUN
ejpam-5784	127	9	is	be	AUX
ejpam-5784	127	10	to	to	PART
ejpam-5784	127	11	demonstrate	demonstrate	VERB
ejpam-5784	127	12	the	the	DET
ejpam-5784	127	13	fundamental	fundamental	ADJ
ejpam-5784	127	14	idea	idea	NOUN
ejpam-5784	127	15	of	of	ADP
ejpam-5784	127	16	the	the	DET
ejpam-5784	127	17	solution	solution	NOUN
ejpam-5784	127	18	approach	approach	NOUN
ejpam-5784	127	19	.	.	PUNCT
ejpam-5784	128	1	in	in	ADP
ejpam-5784	128	2	this	this	DET
ejpam-5784	128	3	context	context	NOUN
ejpam-5784	128	4	,	,	PUNCT
ejpam-5784	128	5	let	let	VERB
ejpam-5784	128	6	’s	’s	PRON
ejpam-5784	128	7	look	look	VERB
ejpam-5784	128	8	at	at	ADP
ejpam-5784	128	9	the	the	DET
ejpam-5784	128	10	following	follow	VERB
ejpam-5784	128	11	general	general	ADJ
ejpam-5784	128	12	nonlinear	nonlinear	ADJ
ejpam-5784	128	13	systems	system	NOUN
ejpam-5784	128	14	of	of	ADP
ejpam-5784	128	15	partial	partial	ADJ
ejpam-5784	128	16	des	de	NOUN
ejpam-5784	128	17	of	of	ADP
ejpam-5784	128	18	fractional	fractional	ADJ
ejpam-5784	128	19	order	order	NOUN
ejpam-5784	128	20	.	.	PUNCT
ejpam-5784	129	1	dρφ+	dρφ+	NOUN
ejpam-5784	129	2	ℓ1	ℓ1	NOUN
ejpam-5784	129	3	(	(	PUNCT
ejpam-5784	129	4	φ	φ	PROPN
ejpam-5784	129	5	,	,	PUNCT
ejpam-5784	129	6	ψ	ψ	NOUN
ejpam-5784	129	7	)	)	PUNCT
ejpam-5784	129	8	+	+	ADJ
ejpam-5784	129	9	n1	n1	PROPN
ejpam-5784	129	10	(	(	PUNCT
ejpam-5784	129	11	φ	φ	PROPN
ejpam-5784	129	12	,	,	PUNCT
ejpam-5784	129	13	ψ	ψ	NOUN
ejpam-5784	129	14	)	)	PUNCT
ejpam-5784	129	15	=	=	SYM
ejpam-5784	129	16	0	0	NUM
ejpam-5784	129	17	,	,	PUNCT
ejpam-5784	129	18	dρψ	dρψ	NOUN
ejpam-5784	129	19	+	+	PROPN
ejpam-5784	129	20	ℓ2(φ	ℓ2(φ	PROPN
ejpam-5784	129	21	,	,	PUNCT
ejpam-5784	129	22	ψ	ψ	NOUN
ejpam-5784	129	23	)	)	PUNCT
ejpam-5784	130	1	+	+	ADJ
ejpam-5784	130	2	n2(φ	n2(φ	NOUN
ejpam-5784	130	3	,	,	PUNCT
ejpam-5784	130	4	ψ	ψ	NOUN
ejpam-5784	130	5	)	)	PUNCT
ejpam-5784	130	6	=	=	SYM
ejpam-5784	130	7	0	0	NUM
ejpam-5784	130	8	,	,	PUNCT
ejpam-5784	130	9	ρ	ρ	PROPN
ejpam-5784	130	10	∈	∈	PROPN
ejpam-5784	130	11	(	(	PUNCT
ejpam-5784	130	12	0	0	NUM
ejpam-5784	130	13	,	,	PUNCT
ejpam-5784	130	14	1	1	NUM
ejpam-5784	130	15	]	]	PUNCT
ejpam-5784	130	16	(	(	PUNCT
ejpam-5784	130	17	9	9	NUM
ejpam-5784	130	18	)	)	PUNCT
ejpam-5784	130	19	with	with	ADP
ejpam-5784	130	20	the	the	DET
ejpam-5784	130	21	initial	initial	ADJ
ejpam-5784	130	22	conditions	condition	NOUN
ejpam-5784	130	23	φ	φ	X
ejpam-5784	130	24	(	(	PUNCT
ejpam-5784	130	25	ς	ς	PROPN
ejpam-5784	130	26	,	,	PUNCT
ejpam-5784	130	27	0	0	NUM
ejpam-5784	130	28	)	)	PUNCT
ejpam-5784	130	29	=	=	SYM
ejpam-5784	130	30	φ(ς	φ(ς	ADJ
ejpam-5784	130	31	)	)	PUNCT
ejpam-5784	130	32	,	,	PUNCT
ejpam-5784	130	33	and	and	CCONJ
ejpam-5784	130	34	ψ	ψ	X
ejpam-5784	130	35	(	(	PUNCT
ejpam-5784	130	36	ς	ς	PROPN
ejpam-5784	130	37	,	,	PUNCT
ejpam-5784	130	38	0	0	NUM
ejpam-5784	130	39	)	)	PUNCT
ejpam-5784	130	40	=	=	SYM
ejpam-5784	131	1	ψ	ψ	X
ejpam-5784	131	2	(	(	PUNCT
ejpam-5784	131	3	ς	ς	NOUN
ejpam-5784	131	4	)	)	PUNCT
ejpam-5784	131	5	,	,	PUNCT
ejpam-5784	131	6	(	(	PUNCT
ejpam-5784	131	7	10	10	NUM
ejpam-5784	131	8	)	)	PUNCT
ejpam-5784	131	9	where	where	SCONJ
ejpam-5784	131	10	φ	φ	PROPN
ejpam-5784	131	11	=	=	SYM
ejpam-5784	131	12	φ	φ	PROPN
ejpam-5784	131	13	(	(	PUNCT
ejpam-5784	131	14	ς	ς	PROPN
ejpam-5784	131	15	,	,	PUNCT
ejpam-5784	131	16	τ	τ	PROPN
ejpam-5784	131	17	)	)	PUNCT
ejpam-5784	131	18	and	and	CCONJ
ejpam-5784	131	19	,	,	PUNCT
ejpam-5784	131	20	ψ	ψ	X
ejpam-5784	131	21	=	=	SYM
ejpam-5784	131	22	ψ	ψ	X
ejpam-5784	131	23	(	(	PUNCT
ejpam-5784	131	24	ς	ς	PROPN
ejpam-5784	131	25	,	,	PUNCT
ejpam-5784	131	26	τ	τ	PROPN
ejpam-5784	131	27	)	)	PUNCT
ejpam-5784	131	28	for	for	ADP
ejpam-5784	131	29	τ	τ	PROPN
ejpam-5784	131	30	≥	≥	NOUN
ejpam-5784	131	31	0	0	NUM
ejpam-5784	131	32	,	,	PUNCT
ejpam-5784	131	33	ς	ς	PROPN
ejpam-5784	131	34	∈	∈	PROPN
ejpam-5784	131	35	i	i	PRON
ejpam-5784	131	36	are	be	AUX
ejpam-5784	131	37	two	two	NUM
ejpam-5784	131	38	unknown	unknown	ADJ
ejpam-5784	131	39	analytical	analytical	ADJ
ejpam-5784	131	40	functions	function	NOUN
ejpam-5784	131	41	to	to	PART
ejpam-5784	131	42	be	be	AUX
ejpam-5784	131	43	explored	explore	VERB
ejpam-5784	131	44	,	,	PUNCT
ejpam-5784	131	45	ℓ1	ℓ1	NOUN
ejpam-5784	131	46	,	,	PUNCT
ejpam-5784	131	47	ℓ2	ℓ2	NOUN
ejpam-5784	131	48	are	be	AUX
ejpam-5784	131	49	two	two	NUM
ejpam-5784	131	50	linear	linear	ADJ
ejpam-5784	131	51	differential	differential	NOUN
ejpam-5784	131	52	operators	operator	NOUN
ejpam-5784	131	53	and	and	CCONJ
ejpam-5784	131	54	n1,n2	n1,n2	PROPN
ejpam-5784	131	55	are	be	AUX
ejpam-5784	131	56	two	two	NUM
ejpam-5784	131	57	non	non	ADJ
ejpam-5784	131	58	-	-	ADJ
ejpam-5784	131	59	linear	linear	ADJ
ejpam-5784	131	60	differential	differential	NOUN
ejpam-5784	131	61	operators	operator	NOUN
ejpam-5784	131	62	,	,	PUNCT
ejpam-5784	131	63	dρ	dρ	PROPN
ejpam-5784	131	64	shows	show	VERB
ejpam-5784	131	65	the	the	DET
ejpam-5784	131	66	caputo	caputo	PROPN
ejpam-5784	131	67	-	-	PUNCT
ejpam-5784	131	68	fd	fd	PROPN
ejpam-5784	131	69	of	of	ADP
ejpam-5784	131	70	order	order	NOUN
ejpam-5784	131	71	ρ	ρ	NOUN
ejpam-5784	131	72	.	.	PUNCT
ejpam-5784	132	1	it	it	PRON
ejpam-5784	132	2	is	be	AUX
ejpam-5784	132	3	presumed	presume	VERB
ejpam-5784	132	4	that	that	SCONJ
ejpam-5784	132	5	the	the	DET
ejpam-5784	132	6	solution	solution	NOUN
ejpam-5784	132	7	exists	exist	VERB
ejpam-5784	132	8	and	and	CCONJ
ejpam-5784	132	9	is	be	AUX
ejpam-5784	132	10	unique	unique	ADJ
ejpam-5784	132	11	.	.	PUNCT
ejpam-5784	133	1	the	the	DET
ejpam-5784	133	2	following	follow	VERB
ejpam-5784	133	3	is	be	AUX
ejpam-5784	133	4	a	a	DET
ejpam-5784	133	5	sequential	sequential	ADJ
ejpam-5784	133	6	explanation	explanation	NOUN
ejpam-5784	133	7	of	of	ADP
ejpam-5784	133	8	the	the	DET
ejpam-5784	133	9	main	main	ADJ
ejpam-5784	133	10	stages	stage	NOUN
ejpam-5784	133	11	of	of	ADP
ejpam-5784	133	12	the	the	DET
ejpam-5784	133	13	lt	lt	PROPN
ejpam-5784	133	14	-	-	PUNCT
ejpam-5784	133	15	rfps	rfps	NOUN
ejpam-5784	133	16	technique	technique	NOUN
ejpam-5784	133	17	:	:	PUNCT
ejpam-5784	133	18	step	step	NOUN
ejpam-5784	133	19	i	i	PRON
ejpam-5784	133	20	:	:	PUNCT
ejpam-5784	133	21	running	run	VERB
ejpam-5784	133	22	the	the	DET
ejpam-5784	133	23	lt	lt	DET
ejpam-5784	133	24	tool	tool	NOUN
ejpam-5784	133	25	lρ	lρ	INTJ
ejpam-5784	133	26	,	,	PUNCT
ejpam-5784	133	27	on	on	ADP
ejpam-5784	133	28	the	the	DET
ejpam-5784	133	29	coupled	couple	VERB
ejpam-5784	133	30	equations	equation	NOUN
ejpam-5784	133	31	in	in	ADP
ejpam-5784	133	32	(	(	PUNCT
ejpam-5784	133	33	9	9	NUM
ejpam-5784	133	34	)	)	PUNCT
ejpam-5784	133	35	with	with	ADP
ejpam-5784	133	36	initial	initial	ADJ
ejpam-5784	133	37	conditions	condition	NOUN
ejpam-5784	133	38	10	10	NUM
ejpam-5784	133	39	and	and	CCONJ
ejpam-5784	133	40	using	use	VERB
ejpam-5784	133	41	lemma	lemma	PROPN
ejpam-5784	133	42	1	1	NUM
ejpam-5784	133	43	,	,	PUNCT
ejpam-5784	133	44	part	part	NOUN
ejpam-5784	133	45	(	(	PUNCT
ejpam-5784	133	46	iv	iv	NUM
ejpam-5784	133	47	)	)	PUNCT
ejpam-5784	133	48	,	,	PUNCT
ejpam-5784	133	49	we	we	PRON
ejpam-5784	133	50	get	get	VERB
ejpam-5784	133	51	φ	φ	PROPN
ejpam-5784	133	52	(	(	PUNCT
ejpam-5784	133	53	ς	ς	PROPN
ejpam-5784	133	54	,	,	PUNCT
ejpam-5784	133	55	ξ	ξ	NOUN
ejpam-5784	133	56	)	)	PUNCT
ejpam-5784	133	57	=	=	SYM
ejpam-5784	133	58	φ	φ	PROPN
ejpam-5784	133	59	(	(	PUNCT
ejpam-5784	133	60	ς	ς	PROPN
ejpam-5784	133	61	)	)	PUNCT
ejpam-5784	134	1	ξ	ξ	NOUN
ejpam-5784	134	2	−	−	PROPN
ejpam-5784	134	3	1	1	NUM
ejpam-5784	134	4	ξρ	ξρ	NOUN
ejpam-5784	134	5	lρ	lρ	PROPN
ejpam-5784	134	6	{	{	PUNCT
ejpam-5784	134	7	ℓ1l−1	ℓ1l−1	PROPN
ejpam-5784	134	8	ρ	ρ	PROPN
ejpam-5784	134	9	(	(	PUNCT
ejpam-5784	134	10	φ	φ	PROPN
ejpam-5784	134	11	,	,	PUNCT
ejpam-5784	134	12	ψ	ψ	NOUN
ejpam-5784	134	13	)	)	PUNCT
ejpam-5784	134	14	}	}	PUNCT
ejpam-5784	134	15	−	−	PROPN
ejpam-5784	135	1	1	1	NUM
ejpam-5784	135	2	ξρ	ξρ	AUX
ejpam-5784	135	3	lρ	lρ	PROPN
ejpam-5784	135	4	{	{	PUNCT
ejpam-5784	135	5	n1l−1	n1l−1	PROPN
ejpam-5784	135	6	ρ	ρ	PROPN
ejpam-5784	135	7	(	(	PUNCT
ejpam-5784	135	8	φ	φ	PROPN
ejpam-5784	135	9	,	,	PUNCT
ejpam-5784	135	10	ψ	ψ	NOUN
ejpam-5784	135	11	)	)	PUNCT
ejpam-5784	135	12	}	}	PUNCT
ejpam-5784	135	13	=	=	SYM
ejpam-5784	135	14	0	0	NUM
ejpam-5784	135	15	,	,	PUNCT
ejpam-5784	135	16	ψ	ψ	X
ejpam-5784	135	17	(	(	PUNCT
ejpam-5784	135	18	ς	ς	PROPN
ejpam-5784	135	19	,	,	PUNCT
ejpam-5784	135	20	ξ	ξ	NOUN
ejpam-5784	135	21	)	)	PUNCT
ejpam-5784	135	22	=	=	SYM
ejpam-5784	135	23	ψ	ψ	X
ejpam-5784	135	24	(	(	PUNCT
ejpam-5784	135	25	ς	ς	PROPN
ejpam-5784	135	26	)	)	PUNCT
ejpam-5784	135	27	ξ	ξ	NOUN
ejpam-5784	135	28	−	−	PROPN
ejpam-5784	135	29	1	1	NUM
ejpam-5784	135	30	ξρ	ξρ	NOUN
ejpam-5784	135	31	lρ	lρ	PROPN
ejpam-5784	135	32	{	{	PUNCT
ejpam-5784	135	33	ℓ2l−1	ℓ2l−1	PROPN
ejpam-5784	135	34	ρ	ρ	PROPN
ejpam-5784	135	35	(	(	PUNCT
ejpam-5784	135	36	φ	φ	PROPN
ejpam-5784	135	37	,	,	PUNCT
ejpam-5784	135	38	ψ	ψ	NOUN
ejpam-5784	135	39	)	)	PUNCT
ejpam-5784	135	40	}	}	PUNCT
ejpam-5784	135	41	−	−	PROPN
ejpam-5784	136	1	1	1	NUM
ejpam-5784	136	2	ξρ	ξρ	NOUN
ejpam-5784	136	3	lρ	lρ	PROPN
ejpam-5784	136	4	{	{	PUNCT
ejpam-5784	136	5	n2l−1	n2l−1	PROPN
ejpam-5784	136	6	ρ	ρ	PROPN
ejpam-5784	136	7	(	(	PUNCT
ejpam-5784	136	8	φ	φ	PROPN
ejpam-5784	136	9	,	,	PUNCT
ejpam-5784	136	10	ψ	ψ	NOUN
ejpam-5784	136	11	)	)	PUNCT
ejpam-5784	136	12	}	}	PUNCT
ejpam-5784	136	13	=	=	SYM
ejpam-5784	136	14	0	0	X
ejpam-5784	136	15	.	.	PUNCT
ejpam-5784	137	1	(	(	PUNCT
ejpam-5784	137	2	11	11	NUM
ejpam-5784	137	3	)	)	PUNCT
ejpam-5784	137	4	step	step	NOUN
ejpam-5784	137	5	ii	ii	PROPN
ejpam-5784	137	6	:	:	PUNCT
ejpam-5784	137	7	according	accord	VERB
ejpam-5784	137	8	to	to	ADP
ejpam-5784	137	9	the	the	DET
ejpam-5784	137	10	methodology	methodology	NOUN
ejpam-5784	137	11	of	of	ADP
ejpam-5784	137	12	the	the	DET
ejpam-5784	137	13	lt	lt	PROPN
ejpam-5784	137	14	-	-	PUNCT
ejpam-5784	137	15	rfps	rfps	NOUN
ejpam-5784	137	16	technique	technique	NOUN
ejpam-5784	137	17	,	,	PUNCT
ejpam-5784	137	18	the	the	DET
ejpam-5784	137	19	new	new	ADJ
ejpam-5784	137	20	transformation	transformation	NOUN
ejpam-5784	137	21	functions	function	NOUN
ejpam-5784	137	22	have	have	VERB
ejpam-5784	137	23	the	the	DET
ejpam-5784	137	24	following	following	NOUN
ejpam-5784	137	25	lfps	lfps	NOUN
ejpam-5784	137	26	expansions	expansion	NOUN
ejpam-5784	137	27	:	:	PUNCT
ejpam-5784	137	28	φ	φ	PROPN
ejpam-5784	137	29	(	(	PUNCT
ejpam-5784	137	30	ς	ς	PROPN
ejpam-5784	137	31	,	,	PUNCT
ejpam-5784	137	32	ξ	ξ	NOUN
ejpam-5784	137	33	)	)	PUNCT
ejpam-5784	137	34	=	=	PUNCT
ejpam-5784	138	1	∞∑	∞∑	PRON
ejpam-5784	138	2	n=0	n=0	NUM
ejpam-5784	138	3	φn(ς	φn(ς	NOUN
ejpam-5784	138	4	)	)	PUNCT
ejpam-5784	138	5	ξnρ+1	ξnρ+1	NOUN
ejpam-5784	138	6	ξ	ξ	X
ejpam-5784	138	7	>	>	X
ejpam-5784	138	8	0	0	NUM
ejpam-5784	138	9	,	,	PUNCT
ejpam-5784	138	10	ψ	ψ	X
ejpam-5784	138	11	(	(	PUNCT
ejpam-5784	138	12	ς	ς	PROPN
ejpam-5784	138	13	,	,	PUNCT
ejpam-5784	138	14	ξ	ξ	NOUN
ejpam-5784	138	15	)	)	PUNCT
ejpam-5784	138	16	=	=	PUNCT
ejpam-5784	139	1	∞∑	∞∑	PRON
ejpam-5784	139	2	n=0	n=0	NUM
ejpam-5784	139	3	ψn(ς	ψn(ς	NUM
ejpam-5784	139	4	)	)	PUNCT
ejpam-5784	139	5	ξnρ+1	ξnρ+1	NOUN
ejpam-5784	139	6	ξ	ξ	X
ejpam-5784	139	7	>	>	X
ejpam-5784	139	8	0	0	NUM
ejpam-5784	139	9	.	.	PUNCT
ejpam-5784	140	1	(	(	PUNCT
ejpam-5784	140	2	12	12	NUM
ejpam-5784	140	3	)	)	PUNCT
ejpam-5784	140	4	hither	hither	ADV
ejpam-5784	140	5	,	,	PUNCT
ejpam-5784	140	6	utilizing	utilize	VERB
ejpam-5784	140	7	the	the	DET
ejpam-5784	140	8	facts	fact	NOUN
ejpam-5784	140	9	lim	lim	PROPN
ejpam-5784	140	10	ξ→∞	ξ→∞	NUM
ejpam-5784	140	11	ξφ	ξφ	VERB
ejpam-5784	140	12	(	(	PUNCT
ejpam-5784	140	13	ς	ς	PROPN
ejpam-5784	140	14	,	,	PUNCT
ejpam-5784	140	15	ξ	ξ	NOUN
ejpam-5784	140	16	)	)	PUNCT
ejpam-5784	140	17	=	=	SYM
ejpam-5784	140	18	φ(ς	φ(ς	ADJ
ejpam-5784	140	19	)	)	PUNCT
ejpam-5784	140	20	,	,	PUNCT
ejpam-5784	140	21	and	and	CCONJ
ejpam-5784	140	22	lim	lim	PROPN
ejpam-5784	140	23	ξ→∞	ξ→∞	PROPN
ejpam-5784	140	24	ξψ	ξψ	PROPN
ejpam-5784	140	25	(	(	PUNCT
ejpam-5784	140	26	ς	ς	PROPN
ejpam-5784	140	27	,	,	PUNCT
ejpam-5784	140	28	ξ	ξ	NOUN
ejpam-5784	140	29	)	)	PUNCT
ejpam-5784	140	30	=	=	NOUN
ejpam-5784	140	31	ψ(ς	ψ(ς	NOUN
ejpam-5784	140	32	)	)	PUNCT
ejpam-5784	140	33	,	,	PUNCT
ejpam-5784	140	34	the	the	DET
ejpam-5784	140	35	j	j	PROPN
ejpam-5784	140	36	-	-	PUNCT
ejpam-5784	140	37	th	th	VERB
ejpam-5784	140	38	truncation	truncation	NOUN
ejpam-5784	140	39	lfps	lfps	NOUN
ejpam-5784	140	40	expansions	expansion	NOUN
ejpam-5784	140	41	can	can	AUX
ejpam-5784	140	42	be	be	AUX
ejpam-5784	140	43	expressed	express	VERB
ejpam-5784	140	44	as	as	ADP
ejpam-5784	140	45	:	:	PUNCT
ejpam-5784	140	46	φj	φj	PROPN
ejpam-5784	140	47	(	(	PUNCT
ejpam-5784	140	48	ς	ς	PROPN
ejpam-5784	140	49	,	,	PUNCT
ejpam-5784	140	50	ξ	ξ	NOUN
ejpam-5784	140	51	)	)	PUNCT
ejpam-5784	140	52	=	=	SYM
ejpam-5784	141	1	φ(ς	φ(ς	ADJ
ejpam-5784	141	2	)	)	PUNCT
ejpam-5784	141	3	ξ	ξ	PROPN
ejpam-5784	142	1	+	+	CCONJ
ejpam-5784	142	2	j∑	j∑	CCONJ
ejpam-5784	142	3	n=1	n=1	PROPN
ejpam-5784	142	4	φn(ς	φn(ς	NOUN
ejpam-5784	142	5	)	)	PUNCT
ejpam-5784	142	6	ξnρ+1	ξnρ+1	NOUN
ejpam-5784	142	7	ξ	ξ	X
ejpam-5784	142	8	>	>	X
ejpam-5784	142	9	0	0	NUM
ejpam-5784	142	10	,	,	PUNCT
ejpam-5784	142	11	ψj	ψj	ADP
ejpam-5784	142	12	(	(	PUNCT
ejpam-5784	142	13	ς	ς	PROPN
ejpam-5784	142	14	,	,	PUNCT
ejpam-5784	142	15	ξ	ξ	NOUN
ejpam-5784	142	16	)	)	PUNCT
ejpam-5784	142	17	=	=	SYM
ejpam-5784	142	18	ψ(ς	ψ(ς	PROPN
ejpam-5784	142	19	)	)	PUNCT
ejpam-5784	142	20	ξ	ξ	PROPN
ejpam-5784	143	1	+	+	CCONJ
ejpam-5784	143	2	j∑	j∑	PROPN
ejpam-5784	143	3	n=1	n=1	PROPN
ejpam-5784	143	4	ψn(ς	ψn(ς	ADV
ejpam-5784	143	5	)	)	PUNCT
ejpam-5784	143	6	ξnρ+1	ξnρ+1	NOUN
ejpam-5784	143	7	ξ	ξ	X
ejpam-5784	143	8	>	>	X
ejpam-5784	143	9	0	0	NUM
ejpam-5784	143	10	,	,	PUNCT
ejpam-5784	143	11	(	(	PUNCT
ejpam-5784	143	12	13	13	NUM
ejpam-5784	143	13	)	)	PUNCT
ejpam-5784	143	14	m.	m.	NOUN
ejpam-5784	143	15	alaroud	alaroud	PROPN
ejpam-5784	143	16	,	,	PUNCT
ejpam-5784	143	17	f.	f.	PROPN
ejpam-5784	143	18	aldosari	aldosari	PROPN
ejpam-5784	143	19	/	/	SYM
ejpam-5784	143	20	eur	eur	PROPN
ejpam-5784	143	21	.	.	PUNCT
ejpam-5784	144	1	j.	j.	PROPN
ejpam-5784	144	2	pure	pure	PROPN
ejpam-5784	144	3	appl	appl	PROPN
ejpam-5784	144	4	.	.	PROPN
ejpam-5784	144	5	math	math	PROPN
ejpam-5784	144	6	,	,	PUNCT
ejpam-5784	144	7	18	18	NUM
ejpam-5784	144	8	(	(	PUNCT
ejpam-5784	144	9	1	1	NUM
ejpam-5784	144	10	)	)	PUNCT
ejpam-5784	144	11	(	(	PUNCT
ejpam-5784	144	12	2025	2025	NUM
ejpam-5784	144	13	)	)	PUNCT
ejpam-5784	144	14	,	,	PUNCT
ejpam-5784	144	15	5784	5784	NUM
ejpam-5784	144	16	8	8	NUM
ejpam-5784	144	17	of	of	ADP
ejpam-5784	144	18	25	25	NUM
ejpam-5784	144	19	step	step	NOUN
ejpam-5784	144	20	iii	iii	NOUN
ejpam-5784	144	21	:	:	PUNCT
ejpam-5784	144	22	the	the	DET
ejpam-5784	144	23	unknown	unknown	ADJ
ejpam-5784	144	24	functions	function	NOUN
ejpam-5784	144	25	φn	φn	ADP
ejpam-5784	144	26	(	(	PUNCT
ejpam-5784	144	27	ς	ς	NOUN
ejpam-5784	144	28	)	)	PUNCT
ejpam-5784	144	29	,	,	PUNCT
ejpam-5784	144	30	and	and	CCONJ
ejpam-5784	144	31	ψn(ς	ψn(ς	NUM
ejpam-5784	144	32	)	)	PUNCT
ejpam-5784	144	33	for	for	ADP
ejpam-5784	144	34	n	n	NOUN
ejpam-5784	144	35	=	=	SYM
ejpam-5784	144	36	1	1	NUM
ejpam-5784	144	37	,	,	PUNCT
ejpam-5784	144	38	2	2	NUM
ejpam-5784	144	39	,	,	PUNCT
ejpam-5784	144	40	.	.	PUNCT
ejpam-5784	144	41	.	.	PUNCT
ejpam-5784	144	42	.	.	PUNCT
ejpam-5784	145	1	,	,	PUNCT
ejpam-5784	145	2	j	j	PROPN
ejpam-5784	145	3	,	,	PUNCT
ejpam-5784	145	4	can	can	AUX
ejpam-5784	145	5	be	be	AUX
ejpam-5784	145	6	located	locate	VERB
ejpam-5784	145	7	throughout	throughout	ADP
ejpam-5784	145	8	resolving	resolving	NOUN
ejpam-5784	145	9	of	of	ADP
ejpam-5784	145	10	limξ→∞	limξ→∞	PROPN
ejpam-5784	145	11	ξ1+jρlρ	ξ1+jρlρ	PROPN
ejpam-5784	145	12	(	(	PUNCT
ejpam-5784	145	13	res	re	NOUN
ejpam-5784	145	14	(	(	PUNCT
ejpam-5784	145	15	φj	φj	X
ejpam-5784	145	16	(	(	PUNCT
ejpam-5784	145	17	ς	ς	PROPN
ejpam-5784	145	18	,	,	PUNCT
ejpam-5784	145	19	ξ)))=	ξ)))=	NOUN
ejpam-5784	145	20	0	0	NUM
ejpam-5784	145	21	,	,	PUNCT
ejpam-5784	145	22	and	and	CCONJ
ejpam-5784	145	23	limξ→∞	limξ→∞	PROPN
ejpam-5784	145	24	ξ1+jρlρ	ξ1+jρlρ	PROPN
ejpam-5784	145	25	(	(	PUNCT
ejpam-5784	145	26	res	re	NOUN
ejpam-5784	145	27	(	(	PUNCT
ejpam-5784	145	28	ψj	ψj	ADV
ejpam-5784	145	29	(	(	PUNCT
ejpam-5784	145	30	ς	ς	PROPN
ejpam-5784	145	31	,	,	PUNCT
ejpam-5784	145	32	ξ)))=	ξ)))=	NOUN
ejpam-5784	145	33	0	0	NUM
ejpam-5784	145	34	,	,	PUNCT
ejpam-5784	145	35	where	where	SCONJ
ejpam-5784	145	36	lρ	lρ	ADP
ejpam-5784	145	37	(	(	PUNCT
ejpam-5784	145	38	resφj	resφj	NOUN
ejpam-5784	145	39	)	)	PUNCT
ejpam-5784	145	40	,	,	PUNCT
ejpam-5784	145	41	and	and	CCONJ
ejpam-5784	145	42	lρ	lρ	NOUN
ejpam-5784	145	43	(	(	PUNCT
ejpam-5784	145	44	resψj	resψj	NOUN
ejpam-5784	145	45	)	)	PUNCT
ejpam-5784	145	46	are	be	AUX
ejpam-5784	145	47	recognizing	recognize	VERB
ejpam-5784	145	48	as	as	ADP
ejpam-5784	145	49	the	the	DET
ejpam-5784	145	50	jth	jth	PROPN
ejpam-5784	145	51	-	-	PUNCT
ejpam-5784	145	52	laplace	laplace	NOUN
ejpam-5784	145	53	fractional	fractional	ADJ
ejpam-5784	145	54	residual	residual	ADJ
ejpam-5784	145	55	error	error	NOUN
ejpam-5784	145	56	(	(	PUNCT
ejpam-5784	145	57	l	l	NOUN
ejpam-5784	145	58	-	-	ADJ
ejpam-5784	145	59	fre	fre	ADJ
ejpam-5784	145	60	)	)	PUNCT
ejpam-5784	145	61	functions	function	NOUN
ejpam-5784	145	62	of	of	ADP
ejpam-5784	145	63	(	(	PUNCT
ejpam-5784	145	64	11	11	NUM
ejpam-5784	145	65	)	)	PUNCT
ejpam-5784	145	66	and	and	CCONJ
ejpam-5784	145	67	given	give	VERB
ejpam-5784	145	68	by	by	ADP
ejpam-5784	145	69	:	:	PUNCT
ejpam-5784	145	70	lρ	lρ	PROPN
ejpam-5784	145	71	(	(	PUNCT
ejpam-5784	145	72	res(φj(ς	res(φj(ς	PROPN
ejpam-5784	145	73	,	,	PUNCT
ejpam-5784	145	74	ξ	ξ	NOUN
ejpam-5784	145	75	)	)	PUNCT
ejpam-5784	145	76	)	)	PUNCT
ejpam-5784	145	77	)	)	PUNCT
ejpam-5784	146	1	=	=	PUNCT
ejpam-5784	146	2	φj(ς	φj(ς	NOUN
ejpam-5784	146	3	,	,	PUNCT
ejpam-5784	146	4	ξ)−	ξ)−	PROPN
ejpam-5784	146	5	φ(ς	φ(ς	PROPN
ejpam-5784	146	6	)	)	PUNCT
ejpam-5784	146	7	ξ	ξ	X
ejpam-5784	147	1	+	+	NUM
ejpam-5784	147	2	1	1	NUM
ejpam-5784	147	3	ξρ	ξρ	NOUN
ejpam-5784	147	4	lρ	lρ	ADP
ejpam-5784	147	5	{	{	PUNCT
ejpam-5784	147	6	ℓ1l−1	ℓ1l−1	PROPN
ejpam-5784	147	7	ρ	ρ	PROPN
ejpam-5784	147	8	(	(	PUNCT
ejpam-5784	147	9	φj	φj	NOUN
ejpam-5784	147	10	,	,	PUNCT
ejpam-5784	147	11	ψj	ψj	ADV
ejpam-5784	147	12	)	)	PUNCT
ejpam-5784	147	13	}	}	PUNCT
ejpam-5784	147	14	+	+	CCONJ
ejpam-5784	147	15	1	1	X
ejpam-5784	147	16	ξρ	ξρ	X
ejpam-5784	147	17	lρ	lρ	ADP
ejpam-5784	147	18	{	{	PUNCT
ejpam-5784	147	19	n1l−1	n1l−1	PROPN
ejpam-5784	147	20	ρ	ρ	PROPN
ejpam-5784	147	21	(	(	PUNCT
ejpam-5784	147	22	φj	φj	NOUN
ejpam-5784	147	23	,	,	PUNCT
ejpam-5784	147	24	ψj	ψj	ADV
ejpam-5784	147	25	)	)	PUNCT
ejpam-5784	147	26	}	}	PUNCT
ejpam-5784	147	27	,	,	PUNCT
ejpam-5784	147	28	lρ	lρ	X
ejpam-5784	147	29	(	(	PUNCT
ejpam-5784	147	30	res(ψj(ς	res(ψj(ς	PROPN
ejpam-5784	147	31	,	,	PUNCT
ejpam-5784	147	32	ξ	ξ	NOUN
ejpam-5784	147	33	)	)	PUNCT
ejpam-5784	147	34	)	)	PUNCT
ejpam-5784	147	35	)	)	PUNCT
ejpam-5784	148	1	=	=	PUNCT
ejpam-5784	148	2	ψj(ς	ψj(ς	NOUN
ejpam-5784	148	3	,	,	PUNCT
ejpam-5784	148	4	ξ)−	ξ)−	PROPN
ejpam-5784	148	5	ψ(ς	ψ(ς	PROPN
ejpam-5784	148	6	)	)	PUNCT
ejpam-5784	148	7	ξ	ξ	X
ejpam-5784	149	1	+	+	SYM
ejpam-5784	149	2	1	1	NUM
ejpam-5784	149	3	ξρ	ξρ	NOUN
ejpam-5784	149	4	lρ	lρ	ADP
ejpam-5784	149	5	{	{	PUNCT
ejpam-5784	149	6	ℓ2l−1	ℓ2l−1	PROPN
ejpam-5784	149	7	ρ	ρ	PROPN
ejpam-5784	149	8	(	(	PUNCT
ejpam-5784	149	9	φj	φj	NOUN
ejpam-5784	149	10	,	,	PUNCT
ejpam-5784	149	11	ψj	ψj	ADV
ejpam-5784	149	12	)	)	PUNCT
ejpam-5784	149	13	}	}	PUNCT
ejpam-5784	149	14	+	+	CCONJ
ejpam-5784	149	15	1	1	X
ejpam-5784	149	16	ξρ	ξρ	NOUN
ejpam-5784	149	17	lρ	lρ	ADP
ejpam-5784	149	18	{	{	PUNCT
ejpam-5784	149	19	n2l−1	n2l−1	PROPN
ejpam-5784	149	20	ρ	ρ	PROPN
ejpam-5784	149	21	(	(	PUNCT
ejpam-5784	149	22	φj	φj	NOUN
ejpam-5784	149	23	,	,	PUNCT
ejpam-5784	149	24	ψj	ψj	ADV
ejpam-5784	149	25	)	)	PUNCT
ejpam-5784	149	26	}	}	PUNCT
ejpam-5784	149	27	.	.	PUNCT
ejpam-5784	150	1	(	(	PUNCT
ejpam-5784	150	2	14	14	NUM
ejpam-5784	150	3	)	)	PUNCT
ejpam-5784	150	4	indeed	indeed	ADV
ejpam-5784	150	5	,	,	PUNCT
ejpam-5784	150	6	the	the	DET
ejpam-5784	150	7	following	follow	VERB
ejpam-5784	150	8	is	be	AUX
ejpam-5784	150	9	a	a	DET
ejpam-5784	150	10	list	list	NOUN
ejpam-5784	150	11	of	of	ADP
ejpam-5784	150	12	important	important	ADJ
ejpam-5784	150	13	helpful	helpful	ADJ
ejpam-5784	150	14	facts	fact	NOUN
ejpam-5784	150	15	about	about	ADP
ejpam-5784	150	16	lfre	lfre	NOUN
ejpam-5784	150	17	functions	function	NOUN
ejpam-5784	150	18	that	that	PRON
ejpam-5784	150	19	are	be	AUX
ejpam-5784	150	20	fundamental	fundamental	ADJ
ejpam-5784	150	21	to	to	ADP
ejpam-5784	150	22	determining	determine	VERB
ejpam-5784	150	23	the	the	DET
ejpam-5784	150	24	approximated	approximated	ADJ
ejpam-5784	150	25	solutions	solution	NOUN
ejpam-5784	150	26	:	:	PUNCT
ejpam-5784	150	27	as	as	SCONJ
ejpam-5784	150	28	stated	state	VERB
ejpam-5784	150	29	in	in	ADP
ejpam-5784	150	30	[	[	X
ejpam-5784	150	31	19	19	NUM
ejpam-5784	150	32	]	]	NUM
ejpam-5784	150	33	:	:	PUNCT
ejpam-5784	150	34	(	(	PUNCT
ejpam-5784	150	35	i	i	NOUN
ejpam-5784	150	36	)	)	PUNCT
ejpam-5784	151	1	limj→∞	limj→∞	PROPN
ejpam-5784	151	2	lρ	lρ	X
ejpam-5784	151	3	(	(	PUNCT
ejpam-5784	151	4	res	re	NOUN
ejpam-5784	151	5	(	(	PUNCT
ejpam-5784	151	6	φj	φj	X
ejpam-5784	151	7	(	(	PUNCT
ejpam-5784	151	8	ς	ς	PROPN
ejpam-5784	151	9	,	,	PUNCT
ejpam-5784	151	10	ξ)))=lρ	ξ)))=lρ	NUM
ejpam-5784	151	11	(	(	PUNCT
ejpam-5784	151	12	res	re	NOUN
ejpam-5784	151	13	(	(	PUNCT
ejpam-5784	151	14	φ	φ	PROPN
ejpam-5784	151	15	(	(	PUNCT
ejpam-5784	151	16	ς	ς	PROPN
ejpam-5784	151	17	,	,	PUNCT
ejpam-5784	151	18	ξ	ξ	NOUN
ejpam-5784	151	19	)	)	PUNCT
ejpam-5784	151	20	)	)	PUNCT
ejpam-5784	151	21	)	)	PUNCT
ejpam-5784	151	22	,	,	PUNCT
ejpam-5784	151	23	and	and	CCONJ
ejpam-5784	151	24	limj→∞	limj→∞	PROPN
ejpam-5784	151	25	lρ	lρ	X
ejpam-5784	151	26	(	(	PUNCT
ejpam-5784	151	27	res	re	NOUN
ejpam-5784	151	28	(	(	PUNCT
ejpam-5784	151	29	ψj	ψj	ADV
ejpam-5784	151	30	(	(	PUNCT
ejpam-5784	151	31	ς	ς	NOUN
ejpam-5784	151	32	,	,	PUNCT
ejpam-5784	151	33	ξ)))=lρ	ξ)))=lρ	NUM
ejpam-5784	151	34	(	(	PUNCT
ejpam-5784	151	35	res	re	NOUN
ejpam-5784	151	36	(	(	PUNCT
ejpam-5784	151	37	ψ	ψ	X
ejpam-5784	151	38	(	(	PUNCT
ejpam-5784	151	39	ς	ς	PROPN
ejpam-5784	151	40	,	,	PUNCT
ejpam-5784	151	41	ξ	ξ	NOUN
ejpam-5784	151	42	)	)	PUNCT
ejpam-5784	151	43	)	)	PUNCT
ejpam-5784	151	44	)	)	PUNCT
ejpam-5784	151	45	,	,	PUNCT
ejpam-5784	151	46	ς∈i	ς∈i	NOUN
ejpam-5784	151	47	,	,	PUNCT
ejpam-5784	151	48	ξ	ξ	X
ejpam-5784	151	49	>	>	X
ejpam-5784	151	50	0	0	NUM
ejpam-5784	151	51	.	.	PUNCT
ejpam-5784	151	52	(	(	PUNCT
ejpam-5784	151	53	ii	ii	NOUN
ejpam-5784	151	54	)	)	PUNCT
ejpam-5784	151	55	lρ	lρ	X
ejpam-5784	151	56	(	(	PUNCT
ejpam-5784	151	57	res	re	NOUN
ejpam-5784	151	58	(	(	PUNCT
ejpam-5784	151	59	φ	φ	PROPN
ejpam-5784	151	60	(	(	PUNCT
ejpam-5784	151	61	ς	ς	PROPN
ejpam-5784	151	62	,	,	PUNCT
ejpam-5784	151	63	ξ)))=	ξ)))=	NOUN
ejpam-5784	151	64	0	0	NUM
ejpam-5784	151	65	,	,	PUNCT
ejpam-5784	151	66	and	and	CCONJ
ejpam-5784	151	67	lρ	lρ	X
ejpam-5784	151	68	(	(	PUNCT
ejpam-5784	151	69	res	re	NOUN
ejpam-5784	151	70	(	(	PUNCT
ejpam-5784	151	71	ψj	ψj	ADV
ejpam-5784	151	72	(	(	PUNCT
ejpam-5784	151	73	ς	ς	PROPN
ejpam-5784	151	74	,	,	PUNCT
ejpam-5784	151	75	ξ	ξ	NOUN
ejpam-5784	151	76	)	)	PUNCT
ejpam-5784	151	77	)	)	PUNCT
ejpam-5784	151	78	)	)	PUNCT
ejpam-5784	152	1	=	=	SYM
ejpam-5784	152	2	0	0	NUM
ejpam-5784	152	3	,	,	PUNCT
ejpam-5784	152	4	ς∈i	ς∈i	NOUN
ejpam-5784	152	5	,	,	PUNCT
ejpam-5784	152	6	ξ	ξ	X
ejpam-5784	152	7	>	>	X
ejpam-5784	152	8	0	0	NUM
ejpam-5784	152	9	.	.	PUNCT
ejpam-5784	153	1	(	(	PUNCT
ejpam-5784	153	2	iii	iii	X
ejpam-5784	153	3	)	)	PUNCT
ejpam-5784	153	4	limς→∞	limς→∞	PROPN
ejpam-5784	153	5	ξ1+jρlρ	ξ1+jρlρ	PROPN
ejpam-5784	153	6	(	(	PUNCT
ejpam-5784	153	7	res	re	NOUN
ejpam-5784	153	8	(	(	PUNCT
ejpam-5784	153	9	φj	φj	X
ejpam-5784	153	10	(	(	PUNCT
ejpam-5784	153	11	ς	ς	PROPN
ejpam-5784	153	12	,	,	PUNCT
ejpam-5784	153	13	ξ)))=	ξ)))=	NOUN
ejpam-5784	153	14	0	0	NUM
ejpam-5784	153	15	,	,	PUNCT
ejpam-5784	153	16	and	and	CCONJ
ejpam-5784	153	17	limξ→∞	limξ→∞	PROPN
ejpam-5784	153	18	ξ1+jρlρ	ξ1+jρlρ	PROPN
ejpam-5784	153	19	(	(	PUNCT
ejpam-5784	153	20	res	re	NOUN
ejpam-5784	153	21	(	(	PUNCT
ejpam-5784	153	22	ψj	ψj	ADV
ejpam-5784	153	23	(	(	PUNCT
ejpam-5784	153	24	ς	ς	PROPN
ejpam-5784	153	25	,	,	PUNCT
ejpam-5784	153	26	ξ)))=	ξ)))=	NOUN
ejpam-5784	153	27	0	0	NUM
ejpam-5784	153	28	,	,	PUNCT
ejpam-5784	153	29	for	for	ADP
ejpam-5784	153	30	j=	j=	NOUN
ejpam-5784	153	31	1	1	NUM
ejpam-5784	153	32	,	,	PUNCT
ejpam-5784	153	33	2	2	NUM
ejpam-5784	153	34	.	.	PUNCT
ejpam-5784	153	35	.	.	PUNCT
ejpam-5784	153	36	..	..	PUNCT
ejpam-5784	153	37	and	and	CCONJ
ejpam-5784	153	38	ς∈i	ς∈i	NOUN
ejpam-5784	153	39	,	,	PUNCT
ejpam-5784	153	40	ξ	ξ	X
ejpam-5784	153	41	>	>	X
ejpam-5784	153	42	0	0	X
ejpam-5784	153	43	.	.	PUNCT
ejpam-5784	154	1	step	step	NOUN
ejpam-5784	154	2	iv	iv	NUM
ejpam-5784	154	3	:	:	PUNCT
ejpam-5784	154	4	substitute	substitute	VERB
ejpam-5784	154	5	the	the	DET
ejpam-5784	154	6	j	j	PROPN
ejpam-5784	154	7	-	-	PUNCT
ejpam-5784	154	8	th	th	VERB
ejpam-5784	154	9	truncation	truncation	NOUN
ejpam-5784	154	10	lfps	lfps	NOUN
ejpam-5784	154	11	expansions	expansion	NOUN
ejpam-5784	154	12	in	in	ADP
ejpam-5784	154	13	step	step	NOUN
ejpam-5784	154	14	ii	ii	NOUN
ejpam-5784	154	15	into	into	ADP
ejpam-5784	154	16	the	the	DET
ejpam-5784	154	17	jth	jth	PROPN
ejpam-5784	154	18	-	-	PUNCT
ejpam-5784	154	19	lfre	lfre	NOUN
ejpam-5784	154	20	functions	function	NOUN
ejpam-5784	154	21	of	of	ADP
ejpam-5784	154	22	in	in	ADP
ejpam-5784	154	23	step	step	NOUN
ejpam-5784	154	24	iii	iii	NOUN
ejpam-5784	154	25	such	such	ADJ
ejpam-5784	154	26	that	that	PRON
ejpam-5784	154	27	lρ	lρ	PROPN
ejpam-5784	154	28	(	(	PUNCT
ejpam-5784	154	29	res	re	NOUN
ejpam-5784	154	30	(	(	PUNCT
ejpam-5784	154	31	φj	φj	X
ejpam-5784	154	32	(	(	PUNCT
ejpam-5784	154	33	ς	ς	PROPN
ejpam-5784	154	34	,	,	PUNCT
ejpam-5784	154	35	ξ	ξ	NOUN
ejpam-5784	154	36	)	)	PUNCT
ejpam-5784	154	37	)	)	PUNCT
ejpam-5784	154	38	)	)	PUNCT
ejpam-5784	154	39	,	,	PUNCT
ejpam-5784	154	40	and	and	CCONJ
ejpam-5784	154	41	lρ	lρ	X
ejpam-5784	154	42	(	(	PUNCT
ejpam-5784	154	43	res	re	NOUN
ejpam-5784	154	44	(	(	PUNCT
ejpam-5784	154	45	ψj	ψj	ADV
ejpam-5784	154	46	(	(	PUNCT
ejpam-5784	154	47	ς	ς	PROPN
ejpam-5784	154	48	,	,	PUNCT
ejpam-5784	154	49	ξ	ξ	NOUN
ejpam-5784	154	50	)	)	PUNCT
ejpam-5784	154	51	)	)	PUNCT
ejpam-5784	154	52	)	)	PUNCT
ejpam-5784	154	53	could	could	AUX
ejpam-5784	154	54	be	be	AUX
ejpam-5784	154	55	expressd	expressd	NOUN
ejpam-5784	154	56	in	in	ADP
ejpam-5784	154	57	terms	term	NOUN
ejpam-5784	154	58	of	of	ADP
ejpam-5784	154	59	lfps	lfps	NOUN
ejpam-5784	154	60	exapnsions	exapnsion	NOUN
ejpam-5784	154	61	.	.	PUNCT
ejpam-5784	155	1	step	step	NOUN
ejpam-5784	155	2	v	v	NOUN
ejpam-5784	155	3	:	:	PUNCT
ejpam-5784	155	4	multiply	multiply	VERB
ejpam-5784	155	5	the	the	DET
ejpam-5784	155	6	resultant	resultant	NOUN
ejpam-5784	155	7	algebraic	algebraic	ADJ
ejpam-5784	155	8	equations	equation	NOUN
ejpam-5784	155	9	in	in	ADP
ejpam-5784	155	10	step	step	NOUN
ejpam-5784	155	11	iv	iv	NUM
ejpam-5784	155	12	by	by	ADP
ejpam-5784	155	13	the	the	DET
ejpam-5784	155	14	factor	factor	NOUN
ejpam-5784	155	15	ξ1+jρ	ξ1+jρ	NUM
ejpam-5784	155	16	,	,	PUNCT
ejpam-5784	155	17	and	and	CCONJ
ejpam-5784	155	18	then	then	ADV
ejpam-5784	155	19	looking	look	VERB
ejpam-5784	155	20	the	the	DET
ejpam-5784	155	21	solutions	solution	NOUN
ejpam-5784	155	22	of	of	ADP
ejpam-5784	155	23	limς→∞	limς→∞	PROPN
ejpam-5784	155	24	ξ1+jρlρ	ξ1+jρlρ	PROPN
ejpam-5784	155	25	(	(	PUNCT
ejpam-5784	155	26	res	re	NOUN
ejpam-5784	155	27	(	(	PUNCT
ejpam-5784	155	28	φj	φj	X
ejpam-5784	155	29	(	(	PUNCT
ejpam-5784	155	30	ς	ς	PROPN
ejpam-5784	155	31	,	,	PUNCT
ejpam-5784	155	32	ξ)))=	ξ)))=	NOUN
ejpam-5784	155	33	0	0	NUM
ejpam-5784	155	34	,	,	PUNCT
ejpam-5784	155	35	and	and	CCONJ
ejpam-5784	155	36	limξ→∞	limξ→∞	PROPN
ejpam-5784	155	37	ξ1+jρlρ	ξ1+jρlρ	PROPN
ejpam-5784	155	38	(	(	PUNCT
ejpam-5784	155	39	res	re	NOUN
ejpam-5784	155	40	(	(	PUNCT
ejpam-5784	155	41	ψj	ψj	ADV
ejpam-5784	155	42	(	(	PUNCT
ejpam-5784	155	43	ς	ς	PROPN
ejpam-5784	155	44	,	,	PUNCT
ejpam-5784	155	45	ξ)))=	ξ)))=	NOUN
ejpam-5784	155	46	0	0	NUM
ejpam-5784	155	47	,	,	PUNCT
ejpam-5784	155	48	for	for	ADP
ejpam-5784	155	49	j=	j=	NOUN
ejpam-5784	155	50	1	1	NUM
ejpam-5784	155	51	,	,	PUNCT
ejpam-5784	155	52	2	2	NUM
ejpam-5784	155	53	.	.	PUNCT
ejpam-5784	155	54	.	.	PUNCT
ejpam-5784	155	55	.	.	PUNCT
ejpam-5784	156	1	,	,	PUNCT
ejpam-5784	156	2	for	for	ADP
ejpam-5784	156	3	the	the	DET
ejpam-5784	156	4	requiered	requiere	VERB
ejpam-5784	156	5	unkown	unkown	ADJ
ejpam-5784	156	6	functions	function	NOUN
ejpam-5784	156	7	φj(ς	φj(ς	ADJ
ejpam-5784	156	8	)	)	PUNCT
ejpam-5784	156	9	,	,	PUNCT
ejpam-5784	156	10	and	and	CCONJ
ejpam-5784	156	11	ψj(ς	ψj(ς	NOUN
ejpam-5784	156	12	)	)	PUNCT
ejpam-5784	156	13	.	.	PUNCT
ejpam-5784	157	1	step	step	NOUN
ejpam-5784	157	2	vi	vi	PROPN
ejpam-5784	157	3	:	:	PUNCT
ejpam-5784	157	4	collect	collect	VERB
ejpam-5784	157	5	the	the	DET
ejpam-5784	157	6	obtained	obtain	VERB
ejpam-5784	157	7	results	result	NOUN
ejpam-5784	157	8	φj(ς	φj(ς	ADJ
ejpam-5784	157	9	)	)	PUNCT
ejpam-5784	157	10	,	,	PUNCT
ejpam-5784	157	11	and	and	CCONJ
ejpam-5784	157	12	ψj(ς	ψj(ς	NOUN
ejpam-5784	157	13	)	)	PUNCT
ejpam-5784	157	14	from	from	ADP
ejpam-5784	157	15	the	the	DET
ejpam-5784	157	16	previous	previous	ADJ
ejpam-5784	157	17	step	step	NOUN
ejpam-5784	157	18	and	and	CCONJ
ejpam-5784	157	19	replacing	replace	VERB
ejpam-5784	157	20	them	they	PRON
ejpam-5784	157	21	with	with	ADP
ejpam-5784	157	22	the	the	DET
ejpam-5784	157	23	j	j	PROPN
ejpam-5784	157	24	-	-	PUNCT
ejpam-5784	157	25	th	th	VERB
ejpam-5784	157	26	truncation	truncation	NOUN
ejpam-5784	157	27	lfps	lfps	NOUN
ejpam-5784	157	28	expansions	expansion	NOUN
ejpam-5784	157	29	of	of	ADP
ejpam-5784	157	30	(	(	PUNCT
ejpam-5784	157	31	13	13	NUM
ejpam-5784	157	32	)	)	PUNCT
ejpam-5784	157	33	to	to	PART
ejpam-5784	157	34	attain	attain	VERB
ejpam-5784	157	35	the	the	DET
ejpam-5784	157	36	j	j	PROPN
ejpam-5784	157	37	-	-	PUNCT
ejpam-5784	157	38	th	th	VERB
ejpam-5784	157	39	approximated	approximate	VERB
ejpam-5784	157	40	solutions	solution	NOUN
ejpam-5784	157	41	of	of	ADP
ejpam-5784	157	42	(	(	PUNCT
ejpam-5784	157	43	11	11	NUM
ejpam-5784	157	44	)	)	PUNCT
ejpam-5784	157	45	.	.	PUNCT
ejpam-5784	158	1	at	at	ADP
ejpam-5784	158	2	j	j	PROPN
ejpam-5784	158	3	tends	tend	VERB
ejpam-5784	158	4	to	to	PART
ejpam-5784	158	5	infinity	infinity	VERB
ejpam-5784	158	6	,	,	PUNCT
ejpam-5784	158	7	one	one	PRON
ejpam-5784	158	8	can	can	AUX
ejpam-5784	158	9	get	get	VERB
ejpam-5784	158	10	the	the	DET
ejpam-5784	158	11	approximated	approximate	VERB
ejpam-5784	158	12	closed	closed	ADJ
ejpam-5784	158	13	-	-	PUNCT
ejpam-5784	158	14	form	form	NOUN
ejpam-5784	158	15	solutions	solution	NOUN
ejpam-5784	158	16	φ	φ	X
ejpam-5784	158	17	(	(	PUNCT
ejpam-5784	158	18	ς	ς	PROPN
ejpam-5784	158	19	,	,	PUNCT
ejpam-5784	158	20	ξ	ξ	NOUN
ejpam-5784	158	21	)	)	PUNCT
ejpam-5784	158	22	,	,	PUNCT
ejpam-5784	158	23	and	and	CCONJ
ejpam-5784	158	24	ψ	ψ	X
ejpam-5784	158	25	(	(	PUNCT
ejpam-5784	158	26	ς	ς	PROPN
ejpam-5784	158	27	,	,	PUNCT
ejpam-5784	158	28	ξ	ξ	NOUN
ejpam-5784	158	29	)	)	PUNCT
ejpam-5784	158	30	of	of	ADP
ejpam-5784	158	31	(	(	PUNCT
ejpam-5784	158	32	9	9	NUM
ejpam-5784	158	33	)	)	PUNCT
ejpam-5784	158	34	.	.	PUNCT
ejpam-5784	159	1	step	step	NOUN
ejpam-5784	159	2	vii	vii	PROPN
ejpam-5784	159	3	:	:	PUNCT
ejpam-5784	159	4	the	the	DET
ejpam-5784	159	5	analytical	analytical	ADJ
ejpam-5784	159	6	-	-	PUNCT
ejpam-5784	159	7	approximated	approximate	VERB
ejpam-5784	159	8	solutions	solution	NOUN
ejpam-5784	159	9	φ	φ	X
ejpam-5784	159	10	(	(	PUNCT
ejpam-5784	159	11	ς	ς	PROPN
ejpam-5784	159	12	,	,	PUNCT
ejpam-5784	159	13	τ	τ	PROPN
ejpam-5784	159	14	)	)	PUNCT
ejpam-5784	159	15	and	and	CCONJ
ejpam-5784	159	16	,	,	PUNCT
ejpam-5784	159	17	ψ	ψ	X
ejpam-5784	159	18	(	(	PUNCT
ejpam-5784	159	19	ς	ς	PROPN
ejpam-5784	159	20	,	,	PUNCT
ejpam-5784	159	21	τ	τ	PROPN
ejpam-5784	159	22	)	)	PUNCT
ejpam-5784	159	23	of	of	ADP
ejpam-5784	159	24	the	the	DET
ejpam-5784	159	25	studied	studied	ADJ
ejpam-5784	159	26	problem	problem	NOUN
ejpam-5784	159	27	(	(	PUNCT
ejpam-5784	159	28	9	9	X
ejpam-5784	159	29	)	)	PUNCT
ejpam-5784	159	30	can	can	AUX
ejpam-5784	159	31	be	be	AUX
ejpam-5784	159	32	predicted	predict	VERB
ejpam-5784	159	33	by	by	ADP
ejpam-5784	159	34	performing	perform	VERB
ejpam-5784	159	35	the	the	DET
ejpam-5784	159	36	invers	inver	NOUN
ejpam-5784	159	37	lt	lt	DET
ejpam-5784	159	38	tool	tool	NOUN
ejpam-5784	159	39	of	of	ADP
ejpam-5784	159	40	the	the	DET
ejpam-5784	159	41	attained	attain	VERB
ejpam-5784	159	42	results	result	NOUN
ejpam-5784	159	43	in	in	ADP
ejpam-5784	159	44	step	step	NOUN
ejpam-5784	159	45	vi	vi	NOUN
ejpam-5784	159	46	.	.	PUNCT
ejpam-5784	159	47	to	to	PART
ejpam-5784	159	48	test	test	VERB
ejpam-5784	159	49	our	our	PRON
ejpam-5784	159	50	proposed	propose	VERB
ejpam-5784	159	51	method	method	NOUN
ejpam-5784	159	52	.	.	PUNCT
ejpam-5784	160	1	the	the	DET
ejpam-5784	160	2	next	next	ADJ
ejpam-5784	160	3	section	section	NOUN
ejpam-5784	160	4	shows	show	VERB
ejpam-5784	160	5	the	the	DET
ejpam-5784	160	6	applicability	applicability	NOUN
ejpam-5784	160	7	and	and	CCONJ
ejpam-5784	160	8	performance	performance	NOUN
ejpam-5784	160	9	of	of	ADP
ejpam-5784	160	10	the	the	DET
ejpam-5784	160	11	lt	lt	PROPN
ejpam-5784	160	12	-	-	PUNCT
ejpam-5784	160	13	rfps	rfps	PROPN
ejpam-5784	160	14	method	method	NOUN
ejpam-5784	160	15	of	of	ADP
ejpam-5784	160	16	two	two	NUM
ejpam-5784	160	17	coupled	couple	VERB
ejpam-5784	160	18	non	non	ADJ
ejpam-5784	160	19	-	-	ADJ
ejpam-5784	160	20	linear	linear	ADJ
ejpam-5784	160	21	fractional	fractional	ADJ
ejpam-5784	160	22	evolution	evolution	NOUN
ejpam-5784	160	23	systems	system	NOUN
ejpam-5784	160	24	.	.	PUNCT
ejpam-5784	161	1	4	4	X
ejpam-5784	161	2	.	.	X
ejpam-5784	161	3	solutions	solution	NOUN
ejpam-5784	161	4	for	for	ADP
ejpam-5784	161	5	governing	govern	VERB
ejpam-5784	161	6	models	model	NOUN
ejpam-5784	161	7	.	.	PUNCT
ejpam-5784	162	1	in	in	ADP
ejpam-5784	162	2	the	the	DET
ejpam-5784	162	3	study	study	NOUN
ejpam-5784	162	4	of	of	ADP
ejpam-5784	162	5	non	non	ADJ
ejpam-5784	162	6	-	-	ADJ
ejpam-5784	162	7	linear	linear	ADJ
ejpam-5784	162	8	physical	physical	ADJ
ejpam-5784	162	9	problems	problem	NOUN
ejpam-5784	162	10	occurring	occur	VERB
ejpam-5784	162	11	in	in	ADP
ejpam-5784	162	12	nature	nature	NOUN
ejpam-5784	162	13	,	,	PUNCT
ejpam-5784	162	14	solutions	solution	NOUN
ejpam-5784	162	15	investigation	investigation	NOUN
ejpam-5784	162	16	of	of	ADP
ejpam-5784	162	17	non	non	ADJ
ejpam-5784	162	18	-	-	ADJ
ejpam-5784	162	19	linear	linear	ADJ
ejpam-5784	162	20	evolution	evolution	NOUN
ejpam-5784	162	21	problems	problem	NOUN
ejpam-5784	162	22	of	of	ADP
ejpam-5784	162	23	fractional	fractional	ADJ
ejpam-5784	162	24	order	order	NOUN
ejpam-5784	162	25	plays	play	VERB
ejpam-5784	162	26	a	a	DET
ejpam-5784	162	27	significant	significant	ADJ
ejpam-5784	162	28	role	role	NOUN
ejpam-5784	162	29	.	.	PUNCT
ejpam-5784	163	1	in	in	ADP
ejpam-5784	163	2	this	this	DET
ejpam-5784	163	3	portion	portion	NOUN
ejpam-5784	163	4	,	,	PUNCT
ejpam-5784	163	5	the	the	DET
ejpam-5784	163	6	caputo	caputo	PROPN
ejpam-5784	163	7	lt	lt	PROPN
ejpam-5784	163	8	-	-	PROPN
ejpam-5784	163	9	rfps	rfps	NOUN
ejpam-5784	163	10	technique	technique	NOUN
ejpam-5784	163	11	is	be	AUX
ejpam-5784	163	12	applied	apply	VERB
ejpam-5784	163	13	to	to	PART
ejpam-5784	163	14	solve	solve	VERB
ejpam-5784	163	15	common	common	ADJ
ejpam-5784	163	16	coupled	couple	VERB
ejpam-5784	163	17	non	non	ADJ
ejpam-5784	163	18	-	-	ADJ
ejpam-5784	163	19	linear	linear	ADJ
ejpam-5784	163	20	m.	m.	NOUN
ejpam-5784	163	21	alaroud	alaroud	PROPN
ejpam-5784	163	22	,	,	PUNCT
ejpam-5784	163	23	f.	f.	PROPN
ejpam-5784	163	24	aldosari	aldosari	PROPN
ejpam-5784	163	25	/	/	SYM
ejpam-5784	163	26	eur	eur	PROPN
ejpam-5784	163	27	.	.	PUNCT
ejpam-5784	164	1	j.	j.	PROPN
ejpam-5784	164	2	pure	pure	PROPN
ejpam-5784	164	3	appl	appl	PROPN
ejpam-5784	164	4	.	.	PROPN
ejpam-5784	164	5	math	math	PROPN
ejpam-5784	164	6	,	,	PUNCT
ejpam-5784	164	7	18	18	NUM
ejpam-5784	164	8	(	(	PUNCT
ejpam-5784	164	9	1	1	NUM
ejpam-5784	164	10	)	)	PUNCT
ejpam-5784	164	11	(	(	PUNCT
ejpam-5784	164	12	2025	2025	NUM
ejpam-5784	164	13	)	)	PUNCT
ejpam-5784	164	14	,	,	PUNCT
ejpam-5784	164	15	5784	5784	NUM
ejpam-5784	164	16	9	9	NUM
ejpam-5784	164	17	of	of	ADP
ejpam-5784	164	18	25	25	NUM
ejpam-5784	164	19	fractional	fractional	ADJ
ejpam-5784	164	20	evolution	evolution	NOUN
ejpam-5784	164	21	systems	system	NOUN
ejpam-5784	164	22	in	in	ADP
ejpam-5784	164	23	physical	physical	ADJ
ejpam-5784	164	24	sciences	science	NOUN
ejpam-5784	164	25	,	,	PUNCT
ejpam-5784	164	26	including	include	VERB
ejpam-5784	164	27	time	time	NOUN
ejpam-5784	164	28	-	-	PUNCT
ejpam-5784	164	29	fractional	fractional	ADJ
ejpam-5784	164	30	ds	ds	NOUN
ejpam-5784	164	31	-	-	PUNCT
ejpam-5784	164	32	we	we	PRON
ejpam-5784	164	33	and	and	CCONJ
ejpam-5784	164	34	time	time	NOUN
ejpam-5784	164	35	-	-	PUNCT
ejpam-5784	164	36	fractional	fractional	ADJ
ejpam-5784	164	37	cvbe	cvbe	NOUN
ejpam-5784	164	38	systems	system	NOUN
ejpam-5784	164	39	.	.	PUNCT
ejpam-5784	165	1	besides	besides	SCONJ
ejpam-5784	165	2	,	,	PUNCT
ejpam-5784	165	3	the	the	DET
ejpam-5784	165	4	simulation	simulation	NOUN
ejpam-5784	165	5	of	of	ADP
ejpam-5784	165	6	these	these	DET
ejpam-5784	165	7	problems	problem	NOUN
ejpam-5784	165	8	is	be	AUX
ejpam-5784	165	9	discussed	discuss	VERB
ejpam-5784	165	10	.	.	PUNCT
ejpam-5784	166	1	the	the	DET
ejpam-5784	166	2	mathematica	mathematica	PROPN
ejpam-5784	166	3	computing	computing	PROPN
ejpam-5784	166	4	system	system	NOUN
ejpam-5784	166	5	is	be	AUX
ejpam-5784	166	6	used	use	VERB
ejpam-5784	166	7	to	to	PART
ejpam-5784	166	8	do	do	VERB
ejpam-5784	166	9	the	the	DET
ejpam-5784	166	10	calculations	calculation	NOUN
ejpam-5784	166	11	and	and	CCONJ
ejpam-5784	166	12	generate	generate	VERB
ejpam-5784	166	13	a	a	DET
ejpam-5784	166	14	visual	visual	ADJ
ejpam-5784	166	15	representation	representation	NOUN
ejpam-5784	166	16	of	of	ADP
ejpam-5784	166	17	solution	solution	NOUN
ejpam-5784	166	18	behavior	behavior	NOUN
ejpam-5784	166	19	.	.	PUNCT
ejpam-5784	167	1	4.1	4.1	NUM
ejpam-5784	167	2	.	.	PUNCT
ejpam-5784	167	3	solution	solution	NOUN
ejpam-5784	167	4	of	of	ADP
ejpam-5784	167	5	non	non	ADJ
ejpam-5784	167	6	-	-	ADJ
ejpam-5784	167	7	linear	linear	ADJ
ejpam-5784	167	8	caputo	caputo	PROPN
ejpam-5784	167	9	time	time	PROPN
ejpam-5784	167	10	-	-	PUNCT
ejpam-5784	167	11	fractional	fractional	ADJ
ejpam-5784	167	12	ds	ds	NOUN
ejpam-5784	167	13	-	-	PUNCT
ejpam-5784	167	14	we	we	PRON
ejpam-5784	167	15	[	[	X
ejpam-5784	167	16	13	13	NUM
ejpam-5784	167	17	]	]	PUNCT
ejpam-5784	167	18	is	be	AUX
ejpam-5784	167	19	considered	consider	VERB
ejpam-5784	167	20	in	in	ADP
ejpam-5784	167	21	the	the	DET
ejpam-5784	167	22	present	present	ADJ
ejpam-5784	167	23	piece	piece	NOUN
ejpam-5784	167	24	can	can	AUX
ejpam-5784	167	25	be	be	AUX
ejpam-5784	167	26	investigated	investigate	VERB
ejpam-5784	167	27	along	along	ADV
ejpam-5784	167	28	with	with	ADP
ejpam-5784	167	29	following	follow	VERB
ejpam-5784	167	30	initial	initial	ADJ
ejpam-5784	167	31	conditions	condition	NOUN
ejpam-5784	167	32	:	:	PUNCT
ejpam-5784	168	1	φ	φ	PROPN
ejpam-5784	168	2	(	(	PUNCT
ejpam-5784	168	3	ς	ς	PROPN
ejpam-5784	168	4	,	,	PUNCT
ejpam-5784	168	5	0	0	NUM
ejpam-5784	168	6	)	)	PUNCT
ejpam-5784	168	7	=	=	SYM
ejpam-5784	168	8	3sech2(ς	3sech2(ς	NUM
ejpam-5784	168	9	)	)	PUNCT
ejpam-5784	168	10	,	,	PUNCT
ejpam-5784	168	11	and	and	CCONJ
ejpam-5784	168	12	ψ	ψ	X
ejpam-5784	168	13	(	(	PUNCT
ejpam-5784	168	14	ς	ς	PROPN
ejpam-5784	168	15	,	,	PUNCT
ejpam-5784	168	16	0	0	NUM
ejpam-5784	168	17	)	)	PUNCT
ejpam-5784	168	18	=	=	SYM
ejpam-5784	168	19	2sech(ς	2sech(ς	NUM
ejpam-5784	168	20	)	)	PUNCT
ejpam-5784	168	21	(	(	PUNCT
ejpam-5784	168	22	15	15	NUM
ejpam-5784	168	23	)	)	PUNCT
ejpam-5784	168	24	as	as	SCONJ
ejpam-5784	168	25	stated	state	VERB
ejpam-5784	168	26	in	in	ADP
ejpam-5784	168	27	the	the	DET
ejpam-5784	168	28	last	last	ADJ
ejpam-5784	168	29	discussion	discussion	NOUN
ejpam-5784	168	30	.	.	PUNCT
ejpam-5784	169	1	considering	consider	VERB
ejpam-5784	169	2	the	the	DET
ejpam-5784	169	3	posed	pose	VERB
ejpam-5784	169	4	model	model	NOUN
ejpam-5784	169	5	(	(	PUNCT
ejpam-5784	169	6	1	1	NUM
ejpam-5784	169	7	)	)	PUNCT
ejpam-5784	169	8	along	along	ADP
ejpam-5784	169	9	with	with	ADP
ejpam-5784	169	10	initial	initial	ADJ
ejpam-5784	169	11	conditions	condition	NOUN
ejpam-5784	169	12	(	(	PUNCT
ejpam-5784	169	13	3	3	NUM
ejpam-5784	169	14	)	)	PUNCT
ejpam-5784	169	15	.	.	PUNCT
ejpam-5784	170	1	then	then	ADV
ejpam-5784	170	2	,	,	PUNCT
ejpam-5784	170	3	the	the	DET
ejpam-5784	170	4	laplace	laplace	NOUN
ejpam-5784	170	5	equations	equation	NOUN
ejpam-5784	170	6	of	of	ADP
ejpam-5784	170	7	(	(	PUNCT
ejpam-5784	170	8	1	1	X
ejpam-5784	170	9	)	)	PUNCT
ejpam-5784	170	10	will	will	AUX
ejpam-5784	170	11	be	be	AUX
ejpam-5784	170	12	in	in	ADP
ejpam-5784	170	13	the	the	DET
ejpam-5784	170	14	form	form	NOUN
ejpam-5784	170	15	:	:	PUNCT
ejpam-5784	170	16	φ	φ	PROPN
ejpam-5784	170	17	(	(	PUNCT
ejpam-5784	170	18	ς	ς	PROPN
ejpam-5784	170	19	,	,	PUNCT
ejpam-5784	170	20	ξ)−	ξ)−	PROPN
ejpam-5784	170	21	φ	φ	PROPN
ejpam-5784	170	22	(	(	PUNCT
ejpam-5784	170	23	ς	ς	PROPN
ejpam-5784	170	24	)	)	PUNCT
ejpam-5784	170	25	ξ	ξ	PROPN
ejpam-5784	171	1	+	+	PUNCT
ejpam-5784	171	2	c	c	NOUN
ejpam-5784	171	3	ξρ	ξρ	X
ejpam-5784	171	4	lρ	lρ	PROPN
ejpam-5784	171	5	(	(	PUNCT
ejpam-5784	171	6	l−1	l−1	PROPN
ejpam-5784	171	7	ρ	ρ	PROPN
ejpam-5784	171	8	{	{	PUNCT
ejpam-5784	171	9	ψ}dςl−1	ψ}dςl−1	PROPN
ejpam-5784	171	10	ρ	ρ	NOUN
ejpam-5784	171	11	{	{	PUNCT
ejpam-5784	171	12	ψ	ψ	NOUN
ejpam-5784	171	13	}	}	PUNCT
ejpam-5784	171	14	)	)	PUNCT
ejpam-5784	172	1	=	=	SYM
ejpam-5784	172	2	0	0	NUM
ejpam-5784	172	3	,	,	PUNCT
ejpam-5784	172	4	ψ	ψ	X
ejpam-5784	172	5	(	(	PUNCT
ejpam-5784	172	6	ς	ς	PROPN
ejpam-5784	172	7	,	,	PUNCT
ejpam-5784	172	8	ξ)−	ξ)−	PROPN
ejpam-5784	172	9	ψ	ψ	X
ejpam-5784	172	10	(	(	PUNCT
ejpam-5784	172	11	ς	ς	PROPN
ejpam-5784	172	12	)	)	PUNCT
ejpam-5784	172	13	ξ	ξ	PROPN
ejpam-5784	173	1	+	+	NUM
ejpam-5784	173	2	n	n	ADP
ejpam-5784	173	3	ξρ	ξρ	PRON
ejpam-5784	173	4	lρ	lρ	X
ejpam-5784	173	5	(	(	PUNCT
ejpam-5784	173	6	d3	d3	PROPN
ejpam-5784	173	7	ςl−1	ςl−1	PROPN
ejpam-5784	173	8	ρ	ρ	X
ejpam-5784	173	9	{	{	PUNCT
ejpam-5784	173	10	ψ	ψ	NOUN
ejpam-5784	173	11	}	}	PUNCT
ejpam-5784	173	12	)	)	PUNCT
ejpam-5784	174	1	+	+	CCONJ
ejpam-5784	174	2	p	p	X
ejpam-5784	174	3	ξρ	ξρ	X
ejpam-5784	174	4	lρ	lρ	X
ejpam-5784	174	5	(	(	PUNCT
ejpam-5784	174	6	l−1	l−1	PROPN
ejpam-5784	174	7	ρ	ρ	PROPN
ejpam-5784	174	8	{	{	PUNCT
ejpam-5784	174	9	φ}dςl−1	φ}dςl−1	NOUN
ejpam-5784	174	10	ρ	ρ	NOUN
ejpam-5784	174	11	{	{	PUNCT
ejpam-5784	174	12	ψ	ψ	NOUN
ejpam-5784	174	13	}	}	PUNCT
ejpam-5784	174	14	)	)	PUNCT
ejpam-5784	175	1	+	+	CCONJ
ejpam-5784	175	2	r	r	NOUN
ejpam-5784	175	3	ξρ	ξρ	X
ejpam-5784	175	4	lρ	lρ	X
ejpam-5784	175	5	(	(	PUNCT
ejpam-5784	175	6	l−1	l−1	PROPN
ejpam-5784	175	7	ρ	ρ	PROPN
ejpam-5784	175	8	{	{	PUNCT
ejpam-5784	175	9	ψ}dςl−1	ψ}dςl−1	PROPN
ejpam-5784	175	10	ρ	ρ	X
ejpam-5784	175	11	{	{	PUNCT
ejpam-5784	175	12	φ	φ	NOUN
ejpam-5784	175	13	}	}	PUNCT
ejpam-5784	175	14	)	)	PUNCT
ejpam-5784	176	1	=	=	SYM
ejpam-5784	176	2	0	0	X
ejpam-5784	176	3	.	.	PUNCT
ejpam-5784	177	1	(	(	PUNCT
ejpam-5784	177	2	16	16	NUM
ejpam-5784	177	3	)	)	PUNCT
ejpam-5784	177	4	to	to	PART
ejpam-5784	177	5	obtain	obtain	VERB
ejpam-5784	177	6	the	the	DET
ejpam-5784	177	7	j	j	PROPN
ejpam-5784	177	8	-	-	PUNCT
ejpam-5784	177	9	th	th	VERB
ejpam-5784	177	10	truncation	truncation	NOUN
ejpam-5784	177	11	lfps	lfps	NOUN
ejpam-5784	177	12	expansions	expansion	NOUN
ejpam-5784	177	13	series	series	PROPN
ejpam-5784	177	14	solution	solution	NOUN
ejpam-5784	177	15	of	of	ADP
ejpam-5784	177	16	(	(	PUNCT
ejpam-5784	177	17	16	16	NUM
ejpam-5784	177	18	)	)	PUNCT
ejpam-5784	177	19	,	,	PUNCT
ejpam-5784	177	20	we	we	PRON
ejpam-5784	177	21	expand	expand	VERB
ejpam-5784	177	22	the	the	DET
ejpam-5784	177	23	functions	function	NOUN
ejpam-5784	177	24	φj	φj	X
ejpam-5784	177	25	(	(	PUNCT
ejpam-5784	177	26	ς	ς	PROPN
ejpam-5784	177	27	,	,	PUNCT
ejpam-5784	177	28	ξ	ξ	NOUN
ejpam-5784	177	29	)	)	PUNCT
ejpam-5784	177	30	,	,	PUNCT
ejpam-5784	177	31	and	and	CCONJ
ejpam-5784	177	32	ψj	ψj	ADV
ejpam-5784	177	33	(	(	PUNCT
ejpam-5784	177	34	ς	ς	PROPN
ejpam-5784	177	35	,	,	PUNCT
ejpam-5784	177	36	ξ	ξ	NOUN
ejpam-5784	177	37	)	)	PUNCT
ejpam-5784	177	38	as	as	SCONJ
ejpam-5784	177	39	follows	follow	VERB
ejpam-5784	177	40	:	:	PUNCT
ejpam-5784	177	41	φj	φj	PROPN
ejpam-5784	177	42	(	(	PUNCT
ejpam-5784	177	43	ς	ς	PROPN
ejpam-5784	177	44	,	,	PUNCT
ejpam-5784	177	45	ξ	ξ	NOUN
ejpam-5784	177	46	)	)	PUNCT
ejpam-5784	177	47	=	=	SYM
ejpam-5784	177	48	φ	φ	PROPN
ejpam-5784	177	49	(	(	PUNCT
ejpam-5784	177	50	ς	ς	PROPN
ejpam-5784	177	51	)	)	PUNCT
ejpam-5784	177	52	ξ	ξ	PROPN
ejpam-5784	178	1	+	+	CCONJ
ejpam-5784	178	2	j∑	j∑	CCONJ
ejpam-5784	178	3	n=1	n=1	PROPN
ejpam-5784	178	4	φn(ς	φn(ς	NOUN
ejpam-5784	178	5	)	)	PUNCT
ejpam-5784	178	6	ξnρ+1	ξnρ+1	NOUN
ejpam-5784	178	7	,	,	PUNCT
ejpam-5784	178	8	ψj	ψj	ADV
ejpam-5784	178	9	(	(	PUNCT
ejpam-5784	178	10	ς	ς	PROPN
ejpam-5784	178	11	,	,	PUNCT
ejpam-5784	178	12	ξ	ξ	NOUN
ejpam-5784	178	13	)	)	PUNCT
ejpam-5784	178	14	=	=	SYM
ejpam-5784	178	15	ψ	ψ	X
ejpam-5784	178	16	(	(	PUNCT
ejpam-5784	178	17	ς	ς	PROPN
ejpam-5784	178	18	)	)	PUNCT
ejpam-5784	178	19	ξ	ξ	PROPN
ejpam-5784	179	1	+	+	CCONJ
ejpam-5784	179	2	j∑	j∑	PROPN
ejpam-5784	179	3	n=1	n=1	PROPN
ejpam-5784	179	4	ψn(ς	ψn(ς	ADV
ejpam-5784	179	5	)	)	PUNCT
ejpam-5784	179	6	ξnρ+1	ξnρ+1	NOUN
ejpam-5784	179	7	.	.	PUNCT
ejpam-5784	180	1	(	(	PUNCT
ejpam-5784	180	2	17	17	NUM
ejpam-5784	180	3	)	)	PUNCT
ejpam-5784	180	4	subsequently	subsequently	ADV
ejpam-5784	180	5	,	,	PUNCT
ejpam-5784	180	6	the	the	DET
ejpam-5784	180	7	jth	jth	PROPN
ejpam-5784	180	8	-	-	PUNCT
ejpam-5784	180	9	l	l	NOUN
ejpam-5784	180	10	-	-	PUNCT
ejpam-5784	180	11	fre	fre	ADJ
ejpam-5784	180	12	functions	function	NOUN
ejpam-5784	180	13	of	of	ADP
ejpam-5784	180	14	(	(	PUNCT
ejpam-5784	180	15	16	16	NUM
ejpam-5784	180	16	)	)	PUNCT
ejpam-5784	180	17	will	will	AUX
ejpam-5784	180	18	be	be	AUX
ejpam-5784	180	19	identified	identify	VERB
ejpam-5784	180	20	as	as	SCONJ
ejpam-5784	180	21	follows	follow	VERB
ejpam-5784	180	22	:	:	PUNCT
ejpam-5784	180	23	lρ	lρ	X
ejpam-5784	180	24	(	(	PUNCT
ejpam-5784	180	25	resφj	resφj	NOUN
ejpam-5784	180	26	(	(	PUNCT
ejpam-5784	180	27	ς	ς	PROPN
ejpam-5784	180	28	,	,	PUNCT
ejpam-5784	180	29	ξ	ξ	NOUN
ejpam-5784	180	30	)	)	PUNCT
ejpam-5784	180	31	)	)	PUNCT
ejpam-5784	181	1	=	=	SYM
ejpam-5784	181	2	j∑	j∑	PROPN
ejpam-5784	181	3	n=1	n=1	PROPN
ejpam-5784	181	4	φn(ς	φn(ς	NOUN
ejpam-5784	181	5	)	)	PUNCT
ejpam-5784	181	6	ξnρ+1	ξnρ+1	NOUN
ejpam-5784	181	7	+	+	CCONJ
ejpam-5784	181	8	c	c	NOUN
ejpam-5784	181	9	ξρ	ξρ	X
ejpam-5784	181	10	lρ	lρ	PROPN
ejpam-5784	181	11	(	(	PUNCT
ejpam-5784	181	12	l−1	l−1	PROPN
ejpam-5784	181	13	ρ	ρ	PROPN
ejpam-5784	181	14	{	{	PUNCT
ejpam-5784	181	15	ψ(ς	ψ(ς	PROPN
ejpam-5784	181	16	)	)	PUNCT
ejpam-5784	182	1	ξ	ξ	PROPN
ejpam-5784	183	1	+	+	CCONJ
ejpam-5784	183	2	j∑	j∑	PROPN
ejpam-5784	183	3	n=1	n=1	PROPN
ejpam-5784	183	4	ψn(ς	ψn(ς	ADV
ejpam-5784	183	5	)	)	PUNCT
ejpam-5784	183	6	ξnρ+1	ξnρ+1	NOUN
ejpam-5784	183	7	}	}	PUNCT
ejpam-5784	183	8	l−1	l−1	PROPN
ejpam-5784	183	9	ρ	ρ	PROPN
ejpam-5784	183	10	{	{	PUNCT
ejpam-5784	183	11	dς	dς	X
ejpam-5784	183	12	(	(	PUNCT
ejpam-5784	183	13	ψ(ς	ψ(ς	PROPN
ejpam-5784	183	14	)	)	PUNCT
ejpam-5784	183	15	ξ	ξ	PROPN
ejpam-5784	184	1	+	+	CCONJ
ejpam-5784	184	2	j∑	j∑	PROPN
ejpam-5784	184	3	n=1	n=1	PROPN
ejpam-5784	184	4	ψn(ς	ψn(ς	ADV
ejpam-5784	184	5	)	)	PUNCT
ejpam-5784	184	6	ξnρ+1	ξnρ+1	NOUN
ejpam-5784	184	7	+	+	CCONJ
ejpam-5784	184	8	j∑	j∑	X
ejpam-5784	184	9	n=1	n=1	PROPN
ejpam-5784	184	10	ψn(ς	ψn(ς	ADV
ejpam-5784	184	11	)	)	PUNCT
ejpam-5784	184	12	ξnρ+1	ξnρ+1	NOUN
ejpam-5784	184	13	)	)	PUNCT
ejpam-5784	184	14	}	}	PUNCT
ejpam-5784	184	15	)	)	PUNCT
ejpam-5784	184	16	,	,	PUNCT
ejpam-5784	184	17	(	(	PUNCT
ejpam-5784	184	18	18	18	NUM
ejpam-5784	184	19	)	)	PUNCT
ejpam-5784	184	20	lρ	lρ	PROPN
ejpam-5784	184	21	(	(	PUNCT
ejpam-5784	184	22	resψj	resψj	NOUN
ejpam-5784	184	23	(	(	PUNCT
ejpam-5784	184	24	ς	ς	PROPN
ejpam-5784	184	25	,	,	PUNCT
ejpam-5784	184	26	ξ	ξ	NOUN
ejpam-5784	184	27	)	)	PUNCT
ejpam-5784	184	28	)	)	PUNCT
ejpam-5784	185	1	=	=	SYM
ejpam-5784	185	2	j∑	j∑	PROPN
ejpam-5784	185	3	n=1	n=1	PROPN
ejpam-5784	185	4	ψn(ς	ψn(ς	ADV
ejpam-5784	185	5	)	)	PUNCT
ejpam-5784	185	6	ξnρ+1	ξnρ+1	NOUN
ejpam-5784	185	7	+	+	CCONJ
ejpam-5784	185	8	n	n	CCONJ
ejpam-5784	185	9	ξρ	ξρ	PRON
ejpam-5784	185	10	lρ	lρ	X
ejpam-5784	185	11	(	(	PUNCT
ejpam-5784	185	12	l−1	l−1	PROPN
ejpam-5784	185	13	ρ	ρ	PROPN
ejpam-5784	185	14	{	{	PUNCT
ejpam-5784	185	15	d3	d3	PROPN
ejpam-5784	185	16	ς	ς	PROPN
ejpam-5784	185	17	(	(	PUNCT
ejpam-5784	185	18	ψ(ς	ψ(ς	PROPN
ejpam-5784	185	19	)	)	PUNCT
ejpam-5784	185	20	ξ	ξ	PROPN
ejpam-5784	186	1	+	+	CCONJ
ejpam-5784	186	2	j∑	j∑	PROPN
ejpam-5784	186	3	n=1	n=1	PROPN
ejpam-5784	186	4	ψn(ς	ψn(ς	ADV
ejpam-5784	186	5	)	)	PUNCT
ejpam-5784	186	6	ξnρ+1	ξnρ+1	NOUN
ejpam-5784	186	7	)	)	PUNCT
ejpam-5784	186	8	}	}	PUNCT
ejpam-5784	186	9	)	)	PUNCT
ejpam-5784	186	10	m.	m.	NOUN
ejpam-5784	186	11	alaroud	alaroud	PROPN
ejpam-5784	186	12	,	,	PUNCT
ejpam-5784	186	13	f.	f.	PROPN
ejpam-5784	186	14	aldosari	aldosari	PROPN
ejpam-5784	186	15	/	/	SYM
ejpam-5784	186	16	eur	eur	PROPN
ejpam-5784	186	17	.	.	PUNCT
ejpam-5784	187	1	j.	j.	PROPN
ejpam-5784	187	2	pure	pure	PROPN
ejpam-5784	187	3	appl	appl	PROPN
ejpam-5784	187	4	.	.	PROPN
ejpam-5784	187	5	math	math	PROPN
ejpam-5784	187	6	,	,	PUNCT
ejpam-5784	187	7	18	18	NUM
ejpam-5784	187	8	(	(	PUNCT
ejpam-5784	187	9	1	1	NUM
ejpam-5784	187	10	)	)	PUNCT
ejpam-5784	187	11	(	(	PUNCT
ejpam-5784	187	12	2025	2025	NUM
ejpam-5784	187	13	)	)	PUNCT
ejpam-5784	187	14	,	,	PUNCT
ejpam-5784	187	15	5784	5784	NUM
ejpam-5784	187	16	10	10	NUM
ejpam-5784	187	17	of	of	ADP
ejpam-5784	187	18	25	25	NUM
ejpam-5784	188	1	+	+	SYM
ejpam-5784	188	2	b	b	X
ejpam-5784	188	3	ξρ	ξρ	X
ejpam-5784	188	4	lρ	lρ	X
ejpam-5784	188	5	(	(	PUNCT
ejpam-5784	188	6	l−1	l−1	PROPN
ejpam-5784	188	7	ρ	ρ	PROPN
ejpam-5784	188	8	{	{	PUNCT
ejpam-5784	188	9	φ(ς	φ(ς	PROPN
ejpam-5784	188	10	)	)	PUNCT
ejpam-5784	189	1	ξ	ξ	PROPN
ejpam-5784	190	1	+	+	CCONJ
ejpam-5784	190	2	j∑	j∑	CCONJ
ejpam-5784	190	3	n=1	n=1	PROPN
ejpam-5784	190	4	φn(ς	φn(ς	NOUN
ejpam-5784	190	5	)	)	PUNCT
ejpam-5784	190	6	ξnρ+1	ξnρ+1	NOUN
ejpam-5784	190	7	}	}	PUNCT
ejpam-5784	190	8	l−1	l−1	PROPN
ejpam-5784	190	9	ρ	ρ	PROPN
ejpam-5784	190	10	{	{	PUNCT
ejpam-5784	190	11	dς	dς	X
ejpam-5784	190	12	(	(	PUNCT
ejpam-5784	190	13	ψ(ς	ψ(ς	PROPN
ejpam-5784	190	14	)	)	PUNCT
ejpam-5784	190	15	ξ	ξ	PROPN
ejpam-5784	191	1	+	+	CCONJ
ejpam-5784	191	2	j∑	j∑	PROPN
ejpam-5784	191	3	n=1	n=1	PROPN
ejpam-5784	191	4	ψn(ς	ψn(ς	ADV
ejpam-5784	191	5	)	)	PUNCT
ejpam-5784	191	6	ξnρ+1	ξnρ+1	NOUN
ejpam-5784	191	7	)	)	PUNCT
ejpam-5784	191	8	}	}	PUNCT
ejpam-5784	191	9	)	)	PUNCT
ejpam-5784	192	1	+	+	CCONJ
ejpam-5784	192	2	r	r	NOUN
ejpam-5784	192	3	ξρ	ξρ	X
ejpam-5784	192	4	lρ	lρ	X
ejpam-5784	192	5	(	(	PUNCT
ejpam-5784	192	6	l−1	l−1	PROPN
ejpam-5784	192	7	ρ	ρ	PROPN
ejpam-5784	192	8	{	{	PUNCT
ejpam-5784	192	9	ψ(ς	ψ(ς	PROPN
ejpam-5784	192	10	)	)	PUNCT
ejpam-5784	192	11	ξ	ξ	PROPN
ejpam-5784	193	1	+	+	CCONJ
ejpam-5784	193	2	j∑	j∑	PROPN
ejpam-5784	193	3	n=1	n=1	PROPN
ejpam-5784	193	4	ψn(ς	ψn(ς	ADV
ejpam-5784	193	5	)	)	PUNCT
ejpam-5784	193	6	ξnρ+1	ξnρ+1	NOUN
ejpam-5784	193	7	}	}	PUNCT
ejpam-5784	193	8	l−1	l−1	PROPN
ejpam-5784	193	9	ρ	ρ	PROPN
ejpam-5784	193	10	{	{	PUNCT
ejpam-5784	193	11	dς	dς	X
ejpam-5784	193	12	(	(	PUNCT
ejpam-5784	193	13	φ(ς	φ(ς	PROPN
ejpam-5784	193	14	)	)	PUNCT
ejpam-5784	193	15	ξ	ξ	PROPN
ejpam-5784	194	1	+	+	CCONJ
ejpam-5784	194	2	j∑	j∑	CCONJ
ejpam-5784	194	3	n=1	n=1	PROPN
ejpam-5784	194	4	φn(ς	φn(ς	NOUN
ejpam-5784	194	5	)	)	PUNCT
ejpam-5784	194	6	ξnρ+1	ξnρ+1	NOUN
ejpam-5784	194	7	)	)	PUNCT
ejpam-5784	194	8	}	}	PUNCT
ejpam-5784	194	9	)	)	PUNCT
ejpam-5784	194	10	.	.	PUNCT
ejpam-5784	195	1	by	by	ADP
ejpam-5784	195	2	multiplying	multiply	VERB
ejpam-5784	195	3	both	both	DET
ejpam-5784	195	4	sides	side	NOUN
ejpam-5784	195	5	of	of	ADP
ejpam-5784	195	6	(	(	PUNCT
ejpam-5784	195	7	18	18	NUM
ejpam-5784	195	8	)	)	PUNCT
ejpam-5784	195	9	by	by	ADP
ejpam-5784	195	10	ξjρ+1	ξjρ+1	NOUN
ejpam-5784	195	11	,	,	PUNCT
ejpam-5784	195	12	and	and	CCONJ
ejpam-5784	195	13	by	by	ADP
ejpam-5784	195	14	performing	perform	VERB
ejpam-5784	195	15	a	a	DET
ejpam-5784	195	16	few	few	ADJ
ejpam-5784	195	17	algebraic	algebraic	ADJ
ejpam-5784	195	18	simplifications	simplification	NOUN
ejpam-5784	195	19	,	,	PUNCT
ejpam-5784	195	20	yields	yield	NOUN
ejpam-5784	195	21	ξjρ+1lρ	ξjρ+1lρ	PROPN
ejpam-5784	195	22	(	(	PUNCT
ejpam-5784	195	23	resφj	resφj	NOUN
ejpam-5784	195	24	(	(	PUNCT
ejpam-5784	195	25	ς	ς	PROPN
ejpam-5784	195	26	,	,	PUNCT
ejpam-5784	195	27	ξ	ξ	NOUN
ejpam-5784	195	28	)	)	PUNCT
ejpam-5784	195	29	)	)	PUNCT
ejpam-5784	195	30	=	=	SYM
ejpam-5784	195	31	cγ	cγ	NOUN
ejpam-5784	195	32	(	(	PUNCT
ejpam-5784	195	33	(	(	PUNCT
ejpam-5784	195	34	j	j	PROPN
ejpam-5784	195	35	−	−	NOUN
ejpam-5784	195	36	1)ρ+	1)ρ+	NUM
ejpam-5784	195	37	1	1	NUM
ejpam-5784	195	38	)	)	PUNCT
ejpam-5784	195	39	j−1∑	j−1∑	NOUN
ejpam-5784	195	40	i=0	i=0	PROPN
ejpam-5784	195	41	ψi(ς)ψ	ψi(ς)ψ	PROPN
ejpam-5784	196	1	′	′	NUM
ejpam-5784	196	2	−i+j−1(ς	−i+j−1(ς	NUM
ejpam-5784	196	3	)	)	PUNCT
ejpam-5784	196	4	γ	γ	PROPN
ejpam-5784	196	5	(	(	PUNCT
ejpam-5784	196	6	iρ+	iρ+	PROPN
ejpam-5784	196	7	1)γ	1)γ	PROPN
ejpam-5784	196	8	(	(	PUNCT
ejpam-5784	196	9	(	(	PUNCT
ejpam-5784	196	10	(	(	PUNCT
ejpam-5784	196	11	j	j	PROPN
ejpam-5784	196	12	−	−	PROPN
ejpam-5784	196	13	1)−	1)−	PROPN
ejpam-5784	196	14	i)ρ+	i)ρ+	PROPN
ejpam-5784	196	15	1	1	NUM
ejpam-5784	196	16	)	)	PUNCT
ejpam-5784	196	17	+	+	NOUN
ejpam-5784	196	18	φj(ς	φj(ς	NOUN
ejpam-5784	196	19	)	)	PUNCT
ejpam-5784	196	20	,	,	PUNCT
ejpam-5784	196	21	(	(	PUNCT
ejpam-5784	196	22	19	19	NUM
ejpam-5784	196	23	)	)	PUNCT
ejpam-5784	196	24	ξjρ+1lρ	ξjρ+1lρ	PROPN
ejpam-5784	196	25	(	(	PUNCT
ejpam-5784	196	26	resψj	resψj	NOUN
ejpam-5784	196	27	(	(	PUNCT
ejpam-5784	196	28	ς	ς	PROPN
ejpam-5784	196	29	,	,	PUNCT
ejpam-5784	196	30	ξ	ξ	NOUN
ejpam-5784	196	31	)	)	PUNCT
ejpam-5784	196	32	)	)	PUNCT
ejpam-5784	197	1	=	=	SYM
ejpam-5784	197	2	nγ	nγ	NOUN
ejpam-5784	197	3	(	(	PUNCT
ejpam-5784	197	4	(	(	PUNCT
ejpam-5784	197	5	j	j	PROPN
ejpam-5784	197	6	−	−	NOUN
ejpam-5784	197	7	1)ρ+	1)ρ+	NUM
ejpam-5784	197	8	1	1	NUM
ejpam-5784	197	9	)	)	PUNCT
ejpam-5784	197	10	j−1∑	j−1∑	NOUN
ejpam-5784	197	11	i=0	i=0	PROPN
ejpam-5784	197	12	φi(ς)ψ	φi(ς)ψ	PROPN
ejpam-5784	197	13	′	′	NUM
ejpam-5784	197	14	−i+j−1(ς	−i+j−1(ς	NUM
ejpam-5784	197	15	)	)	PUNCT
ejpam-5784	197	16	γ	γ	PROPN
ejpam-5784	197	17	(	(	PUNCT
ejpam-5784	197	18	iρ+	iρ+	PROPN
ejpam-5784	197	19	1)γ	1)γ	PROPN
ejpam-5784	197	20	(	(	PUNCT
ejpam-5784	197	21	(	(	PUNCT
ejpam-5784	197	22	(	(	PUNCT
ejpam-5784	197	23	j	j	PROPN
ejpam-5784	197	24	−	−	PROPN
ejpam-5784	198	1	1)−	1)−	PROPN
ejpam-5784	198	2	i)ρ+	i)ρ+	PROPN
ejpam-5784	198	3	1	1	NUM
ejpam-5784	198	4	)	)	PUNCT
ejpam-5784	199	1	+	+	CCONJ
ejpam-5784	199	2	pγ	pγ	PRON
ejpam-5784	199	3	(	(	PUNCT
ejpam-5784	199	4	(	(	PUNCT
ejpam-5784	199	5	j	j	PROPN
ejpam-5784	199	6	−	−	NOUN
ejpam-5784	199	7	1)ρ+	1)ρ+	NUM
ejpam-5784	199	8	1	1	NUM
ejpam-5784	199	9	)	)	PUNCT
ejpam-5784	199	10	j−1∑	j−1∑	NOUN
ejpam-5784	199	11	i=0	i=0	PROPN
ejpam-5784	199	12	ψi(ς)φ	ψi(ς)φ	PROPN
ejpam-5784	199	13	′	′	NUM
ejpam-5784	199	14	−i+j−1(ς	−i+j−1(ς	NUM
ejpam-5784	199	15	)	)	PUNCT
ejpam-5784	199	16	γ	γ	PROPN
ejpam-5784	199	17	(	(	PUNCT
ejpam-5784	199	18	iρ+	iρ+	PROPN
ejpam-5784	199	19	1)γ	1)γ	PROPN
ejpam-5784	199	20	(	(	PUNCT
ejpam-5784	199	21	(	(	PUNCT
ejpam-5784	199	22	(	(	PUNCT
ejpam-5784	199	23	j	j	PROPN
ejpam-5784	199	24	−	−	PROPN
ejpam-5784	199	25	1)−	1)−	PROPN
ejpam-5784	199	26	i)ρ+	i)ρ+	PROPN
ejpam-5784	199	27	1	1	NUM
ejpam-5784	199	28	)	)	PUNCT
ejpam-5784	199	29	+	+	X
ejpam-5784	199	30	rψ	rψ	ADJ
ejpam-5784	199	31	(	(	PUNCT
ejpam-5784	199	32	3	3	NUM
ejpam-5784	199	33	)	)	PUNCT
ejpam-5784	199	34	j−1(ς	j−1(ς	PROPN
ejpam-5784	199	35	)	)	PUNCT
ejpam-5784	199	36	+	+	NUM
ejpam-5784	199	37	ψj(ς	ψj(ς	NOUN
ejpam-5784	199	38	)	)	PUNCT
ejpam-5784	199	39	.	.	PUNCT
ejpam-5784	200	1	to	to	ADP
ejpam-5784	200	2	this	this	DET
ejpam-5784	200	3	end	end	NOUN
ejpam-5784	200	4	,	,	PUNCT
ejpam-5784	200	5	we	we	PRON
ejpam-5784	200	6	can	can	AUX
ejpam-5784	200	7	resolve	resolve	VERB
ejpam-5784	200	8	(	(	PUNCT
ejpam-5784	200	9	19	19	NUM
ejpam-5784	200	10	)	)	PUNCT
ejpam-5784	200	11	for	for	ADP
ejpam-5784	200	12	φj(ς	φj(ς	NOUN
ejpam-5784	200	13	)	)	PUNCT
ejpam-5784	200	14	,	,	PUNCT
ejpam-5784	200	15	and	and	CCONJ
ejpam-5784	200	16	ψj(ς	ψj(ς	NOUN
ejpam-5784	200	17	)	)	PUNCT
ejpam-5784	200	18	,	,	PUNCT
ejpam-5784	200	19	as	as	ADP
ejpam-5784	200	20	the	the	DET
ejpam-5784	200	21	following	follow	VERB
ejpam-5784	200	22	reccurrence	reccurrence	NOUN
ejpam-5784	200	23	relations	relation	NOUN
ejpam-5784	200	24	:	:	PUNCT
ejpam-5784	200	25	φj	φj	PROPN
ejpam-5784	200	26	(	(	PUNCT
ejpam-5784	200	27	ς	ς	PROPN
ejpam-5784	200	28	)	)	PUNCT
ejpam-5784	200	29	=	=	SYM
ejpam-5784	201	1	−cγ	−cγ	X
ejpam-5784	201	2	(	(	PUNCT
ejpam-5784	201	3	(	(	PUNCT
ejpam-5784	201	4	j	j	PROPN
ejpam-5784	201	5	−	−	NOUN
ejpam-5784	201	6	1)ρ+	1)ρ+	NUM
ejpam-5784	201	7	1	1	NUM
ejpam-5784	201	8	)	)	PUNCT
ejpam-5784	201	9	j−1∑	j−1∑	NOUN
ejpam-5784	201	10	i=0	i=0	PROPN
ejpam-5784	201	11	ψi(ς)ψ	ψi(ς)ψ	PROPN
ejpam-5784	201	12	′	′	NUM
ejpam-5784	201	13	−i+j−1(ς	−i+j−1(ς	NUM
ejpam-5784	201	14	)	)	PUNCT
ejpam-5784	201	15	γ	γ	PROPN
ejpam-5784	201	16	(	(	PUNCT
ejpam-5784	201	17	iρ+	iρ+	PROPN
ejpam-5784	201	18	1)γ	1)γ	PROPN
ejpam-5784	201	19	(	(	PUNCT
ejpam-5784	201	20	(	(	PUNCT
ejpam-5784	201	21	(	(	PUNCT
ejpam-5784	201	22	j	j	PROPN
ejpam-5784	201	23	−	−	PROPN
ejpam-5784	201	24	1)−	1)−	PROPN
ejpam-5784	201	25	i)ρ+	i)ρ+	PROPN
ejpam-5784	201	26	1	1	NUM
ejpam-5784	201	27	)	)	PUNCT
ejpam-5784	201	28	,	,	PUNCT
ejpam-5784	201	29	(	(	PUNCT
ejpam-5784	201	30	20	20	NUM
ejpam-5784	201	31	)	)	PUNCT
ejpam-5784	201	32	ψj	ψj	ADV
ejpam-5784	201	33	(	(	PUNCT
ejpam-5784	201	34	ς	ς	NOUN
ejpam-5784	201	35	)	)	PUNCT
ejpam-5784	201	36	=	=	NOUN
ejpam-5784	201	37	−	−	PROPN
ejpam-5784	201	38	(	(	PUNCT
ejpam-5784	201	39	nγ	nγ	NOUN
ejpam-5784	201	40	(	(	PUNCT
ejpam-5784	201	41	(	(	PUNCT
ejpam-5784	201	42	j	j	PROPN
ejpam-5784	201	43	−	−	PROPN
ejpam-5784	201	44	1	1	NUM
ejpam-5784	201	45	)	)	PUNCT
ejpam-5784	201	46	ρ+	ρ+	NUM
ejpam-5784	201	47	1	1	X
ejpam-5784	201	48	)	)	PUNCT
ejpam-5784	201	49	j−1∑	j−1∑	NOUN
ejpam-5784	201	50	i=0	i=0	PROPN
ejpam-5784	201	51	φi	φi	ADV
ejpam-5784	201	52	(	(	PUNCT
ejpam-5784	201	53	ς)ψ	ς)ψ	ADJ
ejpam-5784	201	54	′	′	NUM
ejpam-5784	201	55	−i+j−1	−i+j−1	NOUN
ejpam-5784	201	56	(	(	PUNCT
ejpam-5784	201	57	ς	ς	NOUN
ejpam-5784	201	58	)	)	PUNCT
ejpam-5784	201	59	γ	γ	NOUN
ejpam-5784	201	60	(	(	PUNCT
ejpam-5784	201	61	iρ+	iρ+	PROPN
ejpam-5784	201	62	1)γ	1)γ	PROPN
ejpam-5784	201	63	(	(	PUNCT
ejpam-5784	201	64	(	(	PUNCT
ejpam-5784	201	65	j	j	PROPN
ejpam-5784	201	66	−	−	PROPN
ejpam-5784	201	67	1−	1−	NUM
ejpam-5784	201	68	i	i	PROPN
ejpam-5784	201	69	)	)	PUNCT
ejpam-5784	201	70	ρ+	ρ+	NUM
ejpam-5784	201	71	1	1	NUM
ejpam-5784	201	72	)	)	PUNCT
ejpam-5784	201	73	)	)	PUNCT
ejpam-5784	202	1	+	+	CCONJ
ejpam-5784	202	2	pγ	pγ	PRON
ejpam-5784	202	3	(	(	PUNCT
ejpam-5784	202	4	(	(	PUNCT
ejpam-5784	202	5	j	j	NOUN
ejpam-5784	202	6	−	−	PROPN
ejpam-5784	202	7	1	1	NUM
ejpam-5784	202	8	)	)	PUNCT
ejpam-5784	202	9	ρ+	ρ+	NUM
ejpam-5784	202	10	1	1	X
ejpam-5784	202	11	)	)	PUNCT
ejpam-5784	202	12	j−1∑	j−1∑	NOUN
ejpam-5784	202	13	i=0	i=0	PROPN
ejpam-5784	202	14	ψi	ψi	ADV
ejpam-5784	202	15	(	(	PUNCT
ejpam-5784	202	16	ς)φ	ς)φ	NOUN
ejpam-5784	202	17	′	′	NUM
ejpam-5784	202	18	−i+j−1	−i+j−1	NOUN
ejpam-5784	202	19	(	(	PUNCT
ejpam-5784	202	20	ς	ς	NOUN
ejpam-5784	202	21	)	)	PUNCT
ejpam-5784	202	22	γ	γ	NOUN
ejpam-5784	202	23	(	(	PUNCT
ejpam-5784	202	24	iρ+	iρ+	PROPN
ejpam-5784	202	25	1)γ	1)γ	PROPN
ejpam-5784	202	26	(	(	PUNCT
ejpam-5784	202	27	(	(	PUNCT
ejpam-5784	202	28	j	j	PROPN
ejpam-5784	202	29	−	−	PROPN
ejpam-5784	202	30	1−	1−	NUM
ejpam-5784	202	31	i	i	PROPN
ejpam-5784	202	32	)	)	PUNCT
ejpam-5784	202	33	ρ+	ρ+	NUM
ejpam-5784	202	34	1	1	NUM
ejpam-5784	202	35	)	)	PUNCT
ejpam-5784	202	36	+	+	CCONJ
ejpam-5784	202	37	rψ	rψ	ADJ
ejpam-5784	202	38	(	(	PUNCT
ejpam-5784	202	39	3	3	NUM
ejpam-5784	202	40	)	)	PUNCT
ejpam-5784	202	41	j−1	j−1	NOUN
ejpam-5784	202	42	(	(	PUNCT
ejpam-5784	202	43	ς	ς	NOUN
ejpam-5784	202	44	)	)	PUNCT
ejpam-5784	202	45	.	.	PUNCT
ejpam-5784	203	1	corollary	corollary	ADJ
ejpam-5784	203	2	1	1	NUM
ejpam-5784	203	3	.	.	PUNCT
ejpam-5784	204	1	for	for	ADP
ejpam-5784	204	2	ρ	ρ	PROPN
ejpam-5784	204	3	∈	∈	PROPN
ejpam-5784	204	4	(	(	PUNCT
ejpam-5784	204	5	0	0	NUM
ejpam-5784	204	6	,	,	PUNCT
ejpam-5784	204	7	1	1	NUM
ejpam-5784	204	8	]	]	PUNCT
ejpam-5784	204	9	,	,	PUNCT
ejpam-5784	204	10	the	the	DET
ejpam-5784	204	11	analytical	analytical	ADJ
ejpam-5784	204	12	-	-	PUNCT
ejpam-5784	204	13	approximate	approximate	NOUN
ejpam-5784	204	14	series	series	NOUN
ejpam-5784	204	15	solutions	solution	NOUN
ejpam-5784	204	16	of	of	ADP
ejpam-5784	204	17	non	non	ADJ
ejpam-5784	204	18	-	-	ADJ
ejpam-5784	204	19	linear	linear	ADJ
ejpam-5784	204	20	caputo	caputo	PROPN
ejpam-5784	204	21	time	time	PROPN
ejpam-5784	204	22	-	-	PUNCT
ejpam-5784	204	23	fractional	fractional	ADJ
ejpam-5784	204	24	ds	ds	NOUN
ejpam-5784	204	25	-	-	PUNCT
ejpam-5784	204	26	we	we	PRON
ejpam-5784	204	27	(	(	PUNCT
ejpam-5784	204	28	1	1	NUM
ejpam-5784	204	29	)	)	PUNCT
ejpam-5784	204	30	and	and	CCONJ
ejpam-5784	204	31	(	(	PUNCT
ejpam-5784	204	32	3	3	X
ejpam-5784	204	33	)	)	PUNCT
ejpam-5784	204	34	can	can	AUX
ejpam-5784	204	35	be	be	AUX
ejpam-5784	204	36	expressed	express	VERB
ejpam-5784	204	37	as	as	SCONJ
ejpam-5784	204	38	follows	follow	VERB
ejpam-5784	204	39	:	:	PUNCT
ejpam-5784	205	1	φ	φ	PROPN
ejpam-5784	205	2	(	(	PUNCT
ejpam-5784	205	3	ς	ς	PROPN
ejpam-5784	205	4	,	,	PUNCT
ejpam-5784	205	5	τ	τ	X
ejpam-5784	205	6	)	)	PUNCT
ejpam-5784	205	7	=	=	SYM
ejpam-5784	205	8	φ	φ	PROPN
ejpam-5784	205	9	(	(	PUNCT
ejpam-5784	205	10	ς	ς	NOUN
ejpam-5784	205	11	)	)	PUNCT
ejpam-5784	205	12	+	+	CCONJ
ejpam-5784	205	13	∞∑	∞∑	NUM
ejpam-5784	205	14	j=1	j=1	NOUN
ejpam-5784	205	15	(	(	PUNCT
ejpam-5784	205	16	−cγ	−cγ	X
ejpam-5784	205	17	(	(	PUNCT
ejpam-5784	205	18	(	(	PUNCT
ejpam-5784	205	19	j	j	PROPN
ejpam-5784	205	20	−	−	NOUN
ejpam-5784	206	1	1)ρ+	1)ρ+	NUM
ejpam-5784	206	2	1	1	NUM
ejpam-5784	206	3	)	)	PUNCT
ejpam-5784	206	4	j−1∑	j−1∑	NOUN
ejpam-5784	206	5	i=0	i=0	PROPN
ejpam-5784	206	6	ψi(ς)ψ	ψi(ς)ψ	PROPN
ejpam-5784	206	7	′	′	NUM
ejpam-5784	206	8	−i+j−1(ς	−i+j−1(ς	NUM
ejpam-5784	206	9	)	)	PUNCT
ejpam-5784	206	10	γ	γ	PROPN
ejpam-5784	206	11	(	(	PUNCT
ejpam-5784	206	12	iρ+	iρ+	PROPN
ejpam-5784	206	13	1)γ	1)γ	PROPN
ejpam-5784	206	14	(	(	PUNCT
ejpam-5784	206	15	(	(	PUNCT
ejpam-5784	206	16	(	(	PUNCT
ejpam-5784	206	17	j	j	PROPN
ejpam-5784	206	18	−	−	PROPN
ejpam-5784	206	19	1)−	1)−	PROPN
ejpam-5784	206	20	i)ρ+	i)ρ+	PROPN
ejpam-5784	206	21	1	1	NUM
ejpam-5784	206	22	)	)	PUNCT
ejpam-5784	206	23	)	)	PUNCT
ejpam-5784	207	1	τ	τ	PROPN
ejpam-5784	207	2	jρ	jρ	ADV
ejpam-5784	207	3	γ	γ	X
ejpam-5784	207	4	(	(	PUNCT
ejpam-5784	207	5	jρ+	jρ+	ADV
ejpam-5784	207	6	1	1	NUM
ejpam-5784	207	7	)	)	PUNCT
ejpam-5784	207	8	,	,	PUNCT
ejpam-5784	207	9	m.	m.	NOUN
ejpam-5784	207	10	alaroud	alaroud	PROPN
ejpam-5784	207	11	,	,	PUNCT
ejpam-5784	207	12	f.	f.	PROPN
ejpam-5784	207	13	aldosari	aldosari	PROPN
ejpam-5784	207	14	/	/	SYM
ejpam-5784	207	15	eur	eur	PROPN
ejpam-5784	207	16	.	.	PUNCT
ejpam-5784	208	1	j.	j.	PROPN
ejpam-5784	208	2	pure	pure	PROPN
ejpam-5784	208	3	appl	appl	PROPN
ejpam-5784	208	4	.	.	PROPN
ejpam-5784	208	5	math	math	PROPN
ejpam-5784	208	6	,	,	PUNCT
ejpam-5784	208	7	18	18	NUM
ejpam-5784	208	8	(	(	PUNCT
ejpam-5784	208	9	1	1	NUM
ejpam-5784	208	10	)	)	PUNCT
ejpam-5784	208	11	(	(	PUNCT
ejpam-5784	208	12	2025	2025	NUM
ejpam-5784	208	13	)	)	PUNCT
ejpam-5784	208	14	,	,	PUNCT
ejpam-5784	208	15	5784	5784	NUM
ejpam-5784	208	16	11	11	NUM
ejpam-5784	208	17	of	of	ADP
ejpam-5784	208	18	25	25	NUM
ejpam-5784	208	19	ψ	ψ	X
ejpam-5784	208	20	(	(	PUNCT
ejpam-5784	208	21	ς	ς	PROPN
ejpam-5784	208	22	,	,	PUNCT
ejpam-5784	208	23	τ	τ	NOUN
ejpam-5784	208	24	)	)	PUNCT
ejpam-5784	208	25	=	=	SYM
ejpam-5784	208	26	ψ	ψ	X
ejpam-5784	208	27	(	(	PUNCT
ejpam-5784	208	28	ς)−	ς)−	NOUN
ejpam-5784	208	29	∞∑	∞∑	NUM
ejpam-5784	208	30	j=1	j=1	NOUN
ejpam-5784	208	31	(	(	PUNCT
ejpam-5784	208	32	nγ	nγ	NOUN
ejpam-5784	208	33	(	(	PUNCT
ejpam-5784	208	34	(	(	PUNCT
ejpam-5784	208	35	j	j	PROPN
ejpam-5784	208	36	−	−	PROPN
ejpam-5784	208	37	1	1	NUM
ejpam-5784	208	38	)	)	PUNCT
ejpam-5784	208	39	ρ+	ρ+	NUM
ejpam-5784	208	40	1	1	X
ejpam-5784	208	41	)	)	PUNCT
ejpam-5784	208	42	j−1∑	j−1∑	NOUN
ejpam-5784	208	43	i=0	i=0	PROPN
ejpam-5784	208	44	φi	φi	ADV
ejpam-5784	208	45	(	(	PUNCT
ejpam-5784	208	46	ς)ψ	ς)ψ	ADJ
ejpam-5784	208	47	′	′	NUM
ejpam-5784	208	48	−i+j−1	−i+j−1	NOUN
ejpam-5784	208	49	(	(	PUNCT
ejpam-5784	208	50	ς	ς	NOUN
ejpam-5784	208	51	)	)	PUNCT
ejpam-5784	208	52	γ	γ	NOUN
ejpam-5784	208	53	(	(	PUNCT
ejpam-5784	208	54	iρ+	iρ+	PROPN
ejpam-5784	208	55	1)γ	1)γ	PROPN
ejpam-5784	208	56	(	(	PUNCT
ejpam-5784	208	57	(	(	PUNCT
ejpam-5784	208	58	j	j	PROPN
ejpam-5784	208	59	−	−	PROPN
ejpam-5784	208	60	1−	1−	NUM
ejpam-5784	208	61	i	i	PROPN
ejpam-5784	208	62	)	)	PUNCT
ejpam-5784	208	63	ρ+	ρ+	NUM
ejpam-5784	208	64	1	1	NUM
ejpam-5784	208	65	)	)	PUNCT
ejpam-5784	209	1	+	+	CCONJ
ejpam-5784	209	2	pγ	pγ	PRON
ejpam-5784	209	3	(	(	PUNCT
ejpam-5784	209	4	(	(	PUNCT
ejpam-5784	209	5	j	j	NOUN
ejpam-5784	209	6	−	−	PROPN
ejpam-5784	209	7	1	1	NUM
ejpam-5784	209	8	)	)	PUNCT
ejpam-5784	209	9	ρ+	ρ+	NUM
ejpam-5784	209	10	1	1	X
ejpam-5784	209	11	)	)	PUNCT
ejpam-5784	209	12	j−1∑	j−1∑	NOUN
ejpam-5784	209	13	i=0	i=0	PROPN
ejpam-5784	209	14	ψi	ψi	ADV
ejpam-5784	209	15	(	(	PUNCT
ejpam-5784	209	16	ς)φ	ς)φ	NOUN
ejpam-5784	209	17	′	′	NUM
ejpam-5784	209	18	−i+j−1	−i+j−1	NOUN
ejpam-5784	209	19	(	(	PUNCT
ejpam-5784	209	20	ς	ς	NOUN
ejpam-5784	209	21	)	)	PUNCT
ejpam-5784	209	22	γ	γ	NOUN
ejpam-5784	209	23	(	(	PUNCT
ejpam-5784	209	24	iρ+	iρ+	PROPN
ejpam-5784	209	25	1)γ	1)γ	PROPN
ejpam-5784	209	26	(	(	PUNCT
ejpam-5784	209	27	(	(	PUNCT
ejpam-5784	209	28	j	j	PROPN
ejpam-5784	209	29	−	−	PROPN
ejpam-5784	209	30	1−	1−	NUM
ejpam-5784	209	31	i	i	PROPN
ejpam-5784	209	32	)	)	PUNCT
ejpam-5784	209	33	ρ+	ρ+	NUM
ejpam-5784	209	34	1	1	NUM
ejpam-5784	209	35	)	)	PUNCT
ejpam-5784	209	36	+	+	CCONJ
ejpam-5784	209	37	rψ	rψ	ADJ
ejpam-5784	209	38	(	(	PUNCT
ejpam-5784	209	39	3	3	NUM
ejpam-5784	209	40	)	)	PUNCT
ejpam-5784	209	41	j−1	j−1	NOUN
ejpam-5784	209	42	(	(	PUNCT
ejpam-5784	209	43	ς	ς	NOUN
ejpam-5784	209	44	)	)	PUNCT
ejpam-5784	209	45	)	)	PUNCT
ejpam-5784	210	1	τ	τ	PROPN
ejpam-5784	210	2	jρ	jρ	ADV
ejpam-5784	210	3	γ	γ	X
ejpam-5784	210	4	(	(	PUNCT
ejpam-5784	210	5	jρ+	jρ+	ADV
ejpam-5784	210	6	1	1	NUM
ejpam-5784	210	7	)	)	PUNCT
ejpam-5784	210	8	.	.	PUNCT
ejpam-5784	211	1	(	(	PUNCT
ejpam-5784	211	2	21	21	NUM
ejpam-5784	211	3	)	)	PUNCT
ejpam-5784	211	4	proof	proof	NOUN
ejpam-5784	211	5	.	.	PUNCT
ejpam-5784	212	1	according	accord	VERB
ejpam-5784	212	2	to	to	ADP
ejpam-5784	212	3	principle	principle	NOUN
ejpam-5784	212	4	of	of	ADP
ejpam-5784	212	5	the	the	DET
ejpam-5784	212	6	lt	lt	PROPN
ejpam-5784	212	7	-	-	PUNCT
ejpam-5784	212	8	rfps	rfps	PROPN
ejpam-5784	212	9	scheme	scheme	NOUN
ejpam-5784	212	10	for	for	ADP
ejpam-5784	212	11	predicting	predict	VERB
ejpam-5784	212	12	the	the	DET
ejpam-5784	212	13	analyticalapproximate	analyticalapproximate	ADJ
ejpam-5784	212	14	series	series	NOUN
ejpam-5784	212	15	solution	solution	NOUN
ejpam-5784	212	16	of	of	ADP
ejpam-5784	212	17	the	the	DET
ejpam-5784	212	18	governing	govern	VERB
ejpam-5784	212	19	model	model	NOUN
ejpam-5784	212	20	,	,	PUNCT
ejpam-5784	212	21	firstly	firstly	ADV
ejpam-5784	212	22	,	,	PUNCT
ejpam-5784	212	23	the	the	DET
ejpam-5784	212	24	lfps	lfps	NOUN
ejpam-5784	212	25	solutions	solution	NOUN
ejpam-5784	212	26	have	have	AUX
ejpam-5784	212	27	been	be	AUX
ejpam-5784	212	28	obtained	obtain	VERB
ejpam-5784	212	29	in	in	ADP
ejpam-5784	212	30	laplace	laplace	NOUN
ejpam-5784	212	31	space	space	NOUN
ejpam-5784	212	32	of	of	ADP
ejpam-5784	212	33	(	(	PUNCT
ejpam-5784	212	34	20	20	NUM
ejpam-5784	212	35	)	)	PUNCT
ejpam-5784	212	36	as	as	SCONJ
ejpam-5784	212	37	follows	follow	VERB
ejpam-5784	212	38	:	:	PUNCT
ejpam-5784	212	39	φ	φ	PROPN
ejpam-5784	212	40	(	(	PUNCT
ejpam-5784	212	41	ς	ς	PROPN
ejpam-5784	212	42	,	,	PUNCT
ejpam-5784	212	43	ξ	ξ	NOUN
ejpam-5784	212	44	)	)	PUNCT
ejpam-5784	212	45	=	=	SYM
ejpam-5784	212	46	φ	φ	PROPN
ejpam-5784	212	47	(	(	PUNCT
ejpam-5784	212	48	ς	ς	PROPN
ejpam-5784	212	49	)	)	PUNCT
ejpam-5784	212	50	ξ	ξ	NOUN
ejpam-5784	213	1	+	+	NUM
ejpam-5784	213	2	∞∑	∞∑	NUM
ejpam-5784	213	3	j=1	j=1	NOUN
ejpam-5784	213	4	(	(	PUNCT
ejpam-5784	213	5	−cγ	−cγ	X
ejpam-5784	213	6	(	(	PUNCT
ejpam-5784	213	7	(	(	PUNCT
ejpam-5784	213	8	j	j	PROPN
ejpam-5784	213	9	−	−	NOUN
ejpam-5784	213	10	1)ρ+	1)ρ+	NUM
ejpam-5784	213	11	1	1	NUM
ejpam-5784	213	12	)	)	PUNCT
ejpam-5784	213	13	j−1∑	j−1∑	NOUN
ejpam-5784	213	14	i=0	i=0	PROPN
ejpam-5784	213	15	ψi(ς)ψ	ψi(ς)ψ	PROPN
ejpam-5784	213	16	′	′	NUM
ejpam-5784	213	17	−i+j−1(ς	−i+j−1(ς	NUM
ejpam-5784	213	18	)	)	PUNCT
ejpam-5784	213	19	γ	γ	PROPN
ejpam-5784	213	20	(	(	PUNCT
ejpam-5784	213	21	iρ+	iρ+	PROPN
ejpam-5784	213	22	1)γ	1)γ	PROPN
ejpam-5784	213	23	(	(	PUNCT
ejpam-5784	213	24	(	(	PUNCT
ejpam-5784	213	25	(	(	PUNCT
ejpam-5784	213	26	j	j	PROPN
ejpam-5784	213	27	−	−	PROPN
ejpam-5784	213	28	1)−	1)−	PROPN
ejpam-5784	213	29	i)ρ+	i)ρ+	PROPN
ejpam-5784	213	30	1	1	NUM
ejpam-5784	213	31	)	)	PUNCT
ejpam-5784	213	32	)	)	PUNCT
ejpam-5784	213	33	1	1	NUM
ejpam-5784	213	34	ξjρ+1	ξjρ+1	NOUN
ejpam-5784	213	35	,	,	PUNCT
ejpam-5784	213	36	ψ	ψ	X
ejpam-5784	213	37	(	(	PUNCT
ejpam-5784	213	38	ς	ς	PROPN
ejpam-5784	213	39	,	,	PUNCT
ejpam-5784	213	40	ξ	ξ	NOUN
ejpam-5784	213	41	)	)	PUNCT
ejpam-5784	213	42	=	=	SYM
ejpam-5784	213	43	ψ	ψ	X
ejpam-5784	213	44	(	(	PUNCT
ejpam-5784	213	45	ς	ς	PROPN
ejpam-5784	213	46	)	)	PUNCT
ejpam-5784	213	47	ξ	ξ	NOUN
ejpam-5784	213	48	−	−	PROPN
ejpam-5784	213	49	∞∑	∞∑	NUM
ejpam-5784	213	50	j=1	j=1	NOUN
ejpam-5784	213	51	(	(	PUNCT
ejpam-5784	213	52	nγ	nγ	NOUN
ejpam-5784	213	53	(	(	PUNCT
ejpam-5784	213	54	(	(	PUNCT
ejpam-5784	213	55	j	j	PROPN
ejpam-5784	213	56	−	−	PROPN
ejpam-5784	213	57	1	1	NUM
ejpam-5784	213	58	)	)	PUNCT
ejpam-5784	213	59	ρ+	ρ+	NUM
ejpam-5784	213	60	1	1	X
ejpam-5784	213	61	)	)	PUNCT
ejpam-5784	213	62	j−1∑	j−1∑	NOUN
ejpam-5784	213	63	i=0	i=0	PROPN
ejpam-5784	213	64	φi	φi	ADV
ejpam-5784	213	65	(	(	PUNCT
ejpam-5784	213	66	ς)ψ	ς)ψ	ADJ
ejpam-5784	213	67	′	′	NUM
ejpam-5784	213	68	−i+j−1	−i+j−1	NOUN
ejpam-5784	213	69	(	(	PUNCT
ejpam-5784	213	70	ς	ς	NOUN
ejpam-5784	213	71	)	)	PUNCT
ejpam-5784	213	72	γ	γ	NOUN
ejpam-5784	213	73	(	(	PUNCT
ejpam-5784	213	74	iρ+	iρ+	PROPN
ejpam-5784	213	75	1)γ	1)γ	PROPN
ejpam-5784	213	76	(	(	PUNCT
ejpam-5784	213	77	(	(	PUNCT
ejpam-5784	213	78	j	j	PROPN
ejpam-5784	213	79	−	−	PROPN
ejpam-5784	213	80	1−	1−	NUM
ejpam-5784	213	81	i	i	PROPN
ejpam-5784	213	82	)	)	PUNCT
ejpam-5784	213	83	ρ+	ρ+	NUM
ejpam-5784	213	84	1	1	NUM
ejpam-5784	213	85	)	)	PUNCT
ejpam-5784	213	86	+	+	CCONJ
ejpam-5784	213	87	pγ	pγ	PRON
ejpam-5784	213	88	(	(	PUNCT
ejpam-5784	213	89	(	(	PUNCT
ejpam-5784	213	90	j	j	NOUN
ejpam-5784	213	91	−	−	PROPN
ejpam-5784	213	92	1	1	NUM
ejpam-5784	213	93	)	)	PUNCT
ejpam-5784	213	94	ρ+	ρ+	NUM
ejpam-5784	213	95	1	1	X
ejpam-5784	213	96	)	)	PUNCT
ejpam-5784	213	97	j−1∑	j−1∑	NOUN
ejpam-5784	213	98	i=0	i=0	PROPN
ejpam-5784	213	99	ψi	ψi	ADV
ejpam-5784	213	100	(	(	PUNCT
ejpam-5784	213	101	ς)φ	ς)φ	NOUN
ejpam-5784	213	102	′	′	NUM
ejpam-5784	213	103	−i+j−1	−i+j−1	NOUN
ejpam-5784	213	104	(	(	PUNCT
ejpam-5784	213	105	ς	ς	NOUN
ejpam-5784	213	106	)	)	PUNCT
ejpam-5784	213	107	γ	γ	NOUN
ejpam-5784	213	108	(	(	PUNCT
ejpam-5784	213	109	iρ+	iρ+	PROPN
ejpam-5784	213	110	1)γ	1)γ	PROPN
ejpam-5784	213	111	(	(	PUNCT
ejpam-5784	213	112	(	(	PUNCT
ejpam-5784	213	113	j	j	PROPN
ejpam-5784	213	114	−	−	PROPN
ejpam-5784	213	115	1−	1−	NUM
ejpam-5784	213	116	i	i	PROPN
ejpam-5784	213	117	)	)	PUNCT
ejpam-5784	213	118	ρ+	ρ+	NUM
ejpam-5784	213	119	1	1	NUM
ejpam-5784	213	120	)	)	PUNCT
ejpam-5784	213	121	+	+	CCONJ
ejpam-5784	213	122	rψ	rψ	ADJ
ejpam-5784	213	123	(	(	PUNCT
ejpam-5784	213	124	3	3	NUM
ejpam-5784	213	125	)	)	PUNCT
ejpam-5784	213	126	j−1	j−1	NOUN
ejpam-5784	213	127	(	(	PUNCT
ejpam-5784	213	128	ς	ς	NOUN
ejpam-5784	213	129	)	)	PUNCT
ejpam-5784	213	130	)	)	PUNCT
ejpam-5784	213	131	1	1	NUM
ejpam-5784	213	132	ξjρ+1	ξjρ+1	NOUN
ejpam-5784	213	133	.	.	PUNCT
ejpam-5784	214	1	(	(	PUNCT
ejpam-5784	214	2	22	22	NUM
ejpam-5784	214	3	)	)	PUNCT
ejpam-5784	214	4	the	the	DET
ejpam-5784	214	5	analytically	analytically	ADV
ejpam-5784	214	6	approximated	approximate	VERB
ejpam-5784	214	7	series	series	NOUN
ejpam-5784	214	8	solution	solution	NOUN
ejpam-5784	214	9	φ	φ	PROPN
ejpam-5784	214	10	(	(	PUNCT
ejpam-5784	214	11	ς	ς	PROPN
ejpam-5784	214	12	,	,	PUNCT
ejpam-5784	214	13	τ	τ	PROPN
ejpam-5784	214	14	)	)	PUNCT
ejpam-5784	214	15	,	,	PUNCT
ejpam-5784	214	16	and	and	CCONJ
ejpam-5784	214	17	ψ	ψ	X
ejpam-5784	214	18	(	(	PUNCT
ejpam-5784	214	19	ς	ς	PROPN
ejpam-5784	214	20	,	,	PUNCT
ejpam-5784	214	21	τ	τ	PROPN
ejpam-5784	214	22	)	)	PUNCT
ejpam-5784	214	23	of	of	ADP
ejpam-5784	214	24	(	(	PUNCT
ejpam-5784	214	25	1	1	NUM
ejpam-5784	214	26	)	)	PUNCT
ejpam-5784	214	27	and	and	CCONJ
ejpam-5784	214	28	(	(	PUNCT
ejpam-5784	214	29	3	3	X
ejpam-5784	214	30	)	)	PUNCT
ejpam-5784	214	31	may	may	AUX
ejpam-5784	214	32	be	be	AUX
ejpam-5784	214	33	attained	attain	VERB
ejpam-5784	214	34	in	in	ADP
ejpam-5784	214	35	terms	term	NOUN
ejpam-5784	214	36	of	of	ADP
ejpam-5784	214	37	taylor	taylor	PROPN
ejpam-5784	214	38	’s	’s	PART
ejpam-5784	214	39	infinite	infinite	PROPN
ejpam-5784	214	40	series	series	NOUN
ejpam-5784	214	41	expansions	expansion	NOUN
ejpam-5784	214	42	by	by	ADP
ejpam-5784	214	43	running	run	VERB
ejpam-5784	214	44	the	the	DET
ejpam-5784	214	45	inverse	inverse	NOUN
ejpam-5784	214	46	lt	lt	DET
ejpam-5784	214	47	instrument	instrument	NOUN
ejpam-5784	214	48	into	into	ADP
ejpam-5784	214	49	(	(	PUNCT
ejpam-5784	214	50	22	22	NUM
ejpam-5784	214	51	)	)	PUNCT
ejpam-5784	214	52	as	as	ADP
ejpam-5784	214	53	the	the	DET
ejpam-5784	214	54	following	following	ADJ
ejpam-5784	214	55	shapes	shape	NOUN
ejpam-5784	214	56	:	:	PUNCT
ejpam-5784	214	57	φ	φ	PROPN
ejpam-5784	214	58	(	(	PUNCT
ejpam-5784	214	59	ς	ς	PROPN
ejpam-5784	214	60	,	,	PUNCT
ejpam-5784	214	61	τ	τ	X
ejpam-5784	214	62	)	)	PUNCT
ejpam-5784	214	63	=	=	SYM
ejpam-5784	214	64	φ	φ	PROPN
ejpam-5784	214	65	(	(	PUNCT
ejpam-5784	214	66	ς	ς	NOUN
ejpam-5784	214	67	)	)	PUNCT
ejpam-5784	214	68	+	+	CCONJ
ejpam-5784	214	69	∞∑	∞∑	NUM
ejpam-5784	214	70	j=1	j=1	NOUN
ejpam-5784	214	71	(	(	PUNCT
ejpam-5784	214	72	−cγ	−cγ	X
ejpam-5784	214	73	(	(	PUNCT
ejpam-5784	214	74	(	(	PUNCT
ejpam-5784	214	75	j	j	PROPN
ejpam-5784	214	76	−	−	NOUN
ejpam-5784	215	1	1)ρ+	1)ρ+	NUM
ejpam-5784	215	2	1	1	NUM
ejpam-5784	215	3	)	)	PUNCT
ejpam-5784	215	4	j−1∑	j−1∑	NOUN
ejpam-5784	215	5	i=0	i=0	PROPN
ejpam-5784	215	6	ψi(ς)ψ	ψi(ς)ψ	PROPN
ejpam-5784	215	7	′	′	NUM
ejpam-5784	215	8	−i+j−1(ς	−i+j−1(ς	NUM
ejpam-5784	215	9	)	)	PUNCT
ejpam-5784	215	10	γ	γ	PROPN
ejpam-5784	215	11	(	(	PUNCT
ejpam-5784	215	12	iρ+	iρ+	PROPN
ejpam-5784	215	13	1)γ	1)γ	PROPN
ejpam-5784	215	14	(	(	PUNCT
ejpam-5784	215	15	(	(	PUNCT
ejpam-5784	215	16	(	(	PUNCT
ejpam-5784	215	17	j	j	PROPN
ejpam-5784	215	18	−	−	PROPN
ejpam-5784	215	19	1)−	1)−	PROPN
ejpam-5784	215	20	i)ρ+	i)ρ+	PROPN
ejpam-5784	215	21	1	1	NUM
ejpam-5784	215	22	)	)	PUNCT
ejpam-5784	215	23	)	)	PUNCT
ejpam-5784	216	1	τ	τ	PROPN
ejpam-5784	216	2	jρ	jρ	ADV
ejpam-5784	216	3	γ	γ	X
ejpam-5784	216	4	(	(	PUNCT
ejpam-5784	216	5	jρ+	jρ+	ADV
ejpam-5784	216	6	1	1	NUM
ejpam-5784	216	7	)	)	PUNCT
ejpam-5784	216	8	,	,	PUNCT
ejpam-5784	216	9	ψ	ψ	X
ejpam-5784	216	10	(	(	PUNCT
ejpam-5784	216	11	ς	ς	PROPN
ejpam-5784	216	12	,	,	PUNCT
ejpam-5784	216	13	τ	τ	NOUN
ejpam-5784	216	14	)	)	PUNCT
ejpam-5784	217	1	=	=	NOUN
ejpam-5784	217	2	ψ	ψ	X
ejpam-5784	217	3	(	(	PUNCT
ejpam-5784	217	4	ς	ς	NOUN
ejpam-5784	217	5	)	)	PUNCT
ejpam-5784	217	6	−	−	PROPN
ejpam-5784	217	7	∞∑	∞∑	NUM
ejpam-5784	217	8	j=1	j=1	NOUN
ejpam-5784	217	9	(	(	PUNCT
ejpam-5784	217	10	nγ	nγ	NOUN
ejpam-5784	217	11	(	(	PUNCT
ejpam-5784	217	12	(	(	PUNCT
ejpam-5784	217	13	j	j	PROPN
ejpam-5784	217	14	−	−	PROPN
ejpam-5784	217	15	1	1	NUM
ejpam-5784	217	16	)	)	PUNCT
ejpam-5784	217	17	ρ+	ρ+	NUM
ejpam-5784	217	18	1	1	X
ejpam-5784	217	19	)	)	PUNCT
ejpam-5784	217	20	j−1∑	j−1∑	NOUN
ejpam-5784	217	21	i=0	i=0	PROPN
ejpam-5784	217	22	φi	φi	ADV
ejpam-5784	217	23	(	(	PUNCT
ejpam-5784	217	24	ς)ψ	ς)ψ	ADJ
ejpam-5784	217	25	′	′	NUM
ejpam-5784	217	26	−i+j−1	−i+j−1	NOUN
ejpam-5784	217	27	(	(	PUNCT
ejpam-5784	217	28	ς	ς	NOUN
ejpam-5784	217	29	)	)	PUNCT
ejpam-5784	217	30	γ	γ	NOUN
ejpam-5784	217	31	(	(	PUNCT
ejpam-5784	217	32	iρ+	iρ+	PROPN
ejpam-5784	217	33	1)γ	1)γ	PROPN
ejpam-5784	217	34	(	(	PUNCT
ejpam-5784	217	35	(	(	PUNCT
ejpam-5784	217	36	j	j	PROPN
ejpam-5784	217	37	−	−	PROPN
ejpam-5784	217	38	1−	1−	NUM
ejpam-5784	217	39	i	i	PROPN
ejpam-5784	217	40	)	)	PUNCT
ejpam-5784	217	41	ρ+	ρ+	NUM
ejpam-5784	217	42	1	1	NUM
ejpam-5784	217	43	)	)	PUNCT
ejpam-5784	218	1	+	+	CCONJ
ejpam-5784	218	2	pγ	pγ	PRON
ejpam-5784	218	3	(	(	PUNCT
ejpam-5784	218	4	(	(	PUNCT
ejpam-5784	218	5	j	j	NOUN
ejpam-5784	218	6	−	−	PROPN
ejpam-5784	218	7	1	1	NUM
ejpam-5784	218	8	)	)	PUNCT
ejpam-5784	218	9	ρ+	ρ+	NUM
ejpam-5784	218	10	1	1	X
ejpam-5784	218	11	)	)	PUNCT
ejpam-5784	218	12	j−1∑	j−1∑	NOUN
ejpam-5784	218	13	i=0	i=0	PROPN
ejpam-5784	218	14	ψi	ψi	ADV
ejpam-5784	218	15	(	(	PUNCT
ejpam-5784	218	16	ς)φ	ς)φ	NOUN
ejpam-5784	218	17	′	′	NUM
ejpam-5784	218	18	−i+j−1	−i+j−1	NOUN
ejpam-5784	218	19	(	(	PUNCT
ejpam-5784	218	20	ς	ς	NOUN
ejpam-5784	218	21	)	)	PUNCT
ejpam-5784	218	22	γ	γ	NOUN
ejpam-5784	218	23	(	(	PUNCT
ejpam-5784	218	24	iρ+	iρ+	PROPN
ejpam-5784	218	25	1)γ	1)γ	PROPN
ejpam-5784	218	26	(	(	PUNCT
ejpam-5784	218	27	(	(	PUNCT
ejpam-5784	218	28	j	j	PROPN
ejpam-5784	218	29	−	−	PROPN
ejpam-5784	218	30	1−	1−	NUM
ejpam-5784	218	31	i	i	PROPN
ejpam-5784	218	32	)	)	PUNCT
ejpam-5784	218	33	ρ+	ρ+	NUM
ejpam-5784	218	34	1	1	X
ejpam-5784	218	35	)	)	PUNCT
ejpam-5784	218	36	m.	m.	NOUN
ejpam-5784	218	37	alaroud	alaroud	PROPN
ejpam-5784	218	38	,	,	PUNCT
ejpam-5784	218	39	f.	f.	PROPN
ejpam-5784	218	40	aldosari	aldosari	PROPN
ejpam-5784	218	41	/	/	SYM
ejpam-5784	218	42	eur	eur	PROPN
ejpam-5784	218	43	.	.	PUNCT
ejpam-5784	219	1	j.	j.	PROPN
ejpam-5784	219	2	pure	pure	PROPN
ejpam-5784	219	3	appl	appl	PROPN
ejpam-5784	219	4	.	.	PROPN
ejpam-5784	219	5	math	math	PROPN
ejpam-5784	219	6	,	,	PUNCT
ejpam-5784	219	7	18	18	NUM
ejpam-5784	219	8	(	(	PUNCT
ejpam-5784	219	9	1	1	NUM
ejpam-5784	219	10	)	)	PUNCT
ejpam-5784	219	11	(	(	PUNCT
ejpam-5784	219	12	2025	2025	NUM
ejpam-5784	219	13	)	)	PUNCT
ejpam-5784	219	14	,	,	PUNCT
ejpam-5784	219	15	5784	5784	NUM
ejpam-5784	219	16	12	12	NUM
ejpam-5784	219	17	of	of	ADP
ejpam-5784	219	18	25	25	NUM
ejpam-5784	219	19	+	+	CCONJ
ejpam-5784	219	20	rψ	rψ	ADJ
ejpam-5784	219	21	(	(	PUNCT
ejpam-5784	219	22	3	3	NUM
ejpam-5784	219	23	)	)	PUNCT
ejpam-5784	219	24	j−1	j−1	NOUN
ejpam-5784	219	25	(	(	PUNCT
ejpam-5784	219	26	ς	ς	NOUN
ejpam-5784	219	27	)	)	PUNCT
ejpam-5784	219	28	)	)	PUNCT
ejpam-5784	220	1	τ	τ	PROPN
ejpam-5784	220	2	jρ	jρ	ADV
ejpam-5784	220	3	γ	γ	X
ejpam-5784	220	4	(	(	PUNCT
ejpam-5784	220	5	jρ+	jρ+	ADV
ejpam-5784	220	6	1	1	NUM
ejpam-5784	220	7	)	)	PUNCT
ejpam-5784	220	8	.	.	PUNCT
ejpam-5784	221	1	(	(	PUNCT
ejpam-5784	221	2	23	23	NUM
ejpam-5784	221	3	)	)	PUNCT
ejpam-5784	221	4	now	now	ADV
ejpam-5784	221	5	,	,	PUNCT
ejpam-5784	221	6	considering	consider	VERB
ejpam-5784	221	7	the	the	DET
ejpam-5784	221	8	initial	initial	ADJ
ejpam-5784	221	9	conditions	condition	NOUN
ejpam-5784	221	10	(	(	PUNCT
ejpam-5784	221	11	15	15	NUM
ejpam-5784	221	12	)	)	PUNCT
ejpam-5784	221	13	into	into	ADP
ejpam-5784	221	14	the	the	DET
ejpam-5784	221	15	obtained	obtain	VERB
ejpam-5784	221	16	recurrence	recurrence	NOUN
ejpam-5784	221	17	relations	relation	NOUN
ejpam-5784	221	18	(	(	PUNCT
ejpam-5784	221	19	20	20	NUM
ejpam-5784	221	20	)	)	PUNCT
ejpam-5784	221	21	,	,	PUNCT
ejpam-5784	221	22	set	set	VERB
ejpam-5784	221	23	c	c	NOUN
ejpam-5784	221	24	=	=	SYM
ejpam-5784	221	25	3	3	NUM
ejpam-5784	221	26	,	,	PUNCT
ejpam-5784	221	27	n	n	NOUN
ejpam-5784	221	28	=	=	SYM
ejpam-5784	221	29	p	p	NOUN
ejpam-5784	221	30	=	=	SYM
ejpam-5784	221	31	2	2	NUM
ejpam-5784	221	32	,	,	PUNCT
ejpam-5784	221	33	and	and	CCONJ
ejpam-5784	221	34	r	r	NOUN
ejpam-5784	221	35	=	=	SYM
ejpam-5784	221	36	1	1	NUM
ejpam-5784	221	37	,	,	PUNCT
ejpam-5784	221	38	the	the	DET
ejpam-5784	221	39	3rdapproximated	3rdapproximated	NUM
ejpam-5784	221	40	solutions	solution	NOUN
ejpam-5784	221	41	of	of	ADP
ejpam-5784	221	42	the	the	DET
ejpam-5784	221	43	posed	pose	VERB
ejpam-5784	221	44	model	model	NOUN
ejpam-5784	221	45	(	(	PUNCT
ejpam-5784	221	46	15	15	NUM
ejpam-5784	221	47	)	)	PUNCT
ejpam-5784	221	48	will	will	AUX
ejpam-5784	221	49	be	be	AUX
ejpam-5784	221	50	formulated	formulate	VERB
ejpam-5784	221	51	as	as	ADP
ejpam-5784	221	52	:	:	PUNCT
ejpam-5784	221	53	φ3	φ3	NOUN
ejpam-5784	221	54	(	(	PUNCT
ejpam-5784	221	55	ς	ς	PROPN
ejpam-5784	221	56	,	,	PUNCT
ejpam-5784	221	57	τ	τ	X
ejpam-5784	221	58	)	)	PUNCT
ejpam-5784	221	59	=	=	NOUN
ejpam-5784	221	60	3	3	NUM
ejpam-5784	221	61	sech2(ς	sech2(ς	NOUN
ejpam-5784	221	62	)	)	PUNCT
ejpam-5784	222	1	+	+	CCONJ
ejpam-5784	222	2	(	(	PUNCT
ejpam-5784	222	3	12	12	NUM
ejpam-5784	222	4	sech2(ς	sech2(ς	NOUN
ejpam-5784	222	5	)	)	PUNCT
ejpam-5784	222	6	tanh	tanh	NOUN
ejpam-5784	222	7	(	(	PUNCT
ejpam-5784	222	8	ς	ς	NOUN
ejpam-5784	222	9	)	)	PUNCT
ejpam-5784	222	10	)	)	PUNCT
ejpam-5784	223	1	τρ	τρ	ADP
ejpam-5784	223	2	γ	γ	PROPN
ejpam-5784	223	3	(	(	PUNCT
ejpam-5784	223	4	ρ+	ρ+	NUM
ejpam-5784	223	5	1	1	NUM
ejpam-5784	223	6	)	)	PUNCT
ejpam-5784	223	7	+	+	CCONJ
ejpam-5784	223	8	(	(	PUNCT
ejpam-5784	223	9	24	24	NUM
ejpam-5784	223	10	sech4(ς	sech4(ς	NOUN
ejpam-5784	223	11	)	)	PUNCT
ejpam-5784	223	12	(	(	PUNCT
ejpam-5784	223	13	cosh	cosh	NOUN
ejpam-5784	223	14	(	(	PUNCT
ejpam-5784	223	15	2ς)−	2ς)−	NUM
ejpam-5784	223	16	2	2	NUM
ejpam-5784	223	17	)	)	PUNCT
ejpam-5784	223	18	)	)	PUNCT
ejpam-5784	223	19	τ2ρ	τ2ρ	PUNCT
ejpam-5784	223	20	γ	γ	X
ejpam-5784	223	21	(	(	PUNCT
ejpam-5784	223	22	2ρ+	2ρ+	NOUN
ejpam-5784	223	23	1	1	NUM
ejpam-5784	223	24	)	)	PUNCT
ejpam-5784	224	1	+	+	CCONJ
ejpam-5784	224	2	sech4	sech4	X
ejpam-5784	224	3	(	(	PUNCT
ejpam-5784	224	4	ς	ς	PROPN
ejpam-5784	224	5	)	)	PUNCT
ejpam-5784	224	6	tanh	tanh	NOUN
ejpam-5784	224	7	(	(	PUNCT
ejpam-5784	224	8	ς	ς	NOUN
ejpam-5784	224	9	)	)	PUNCT
ejpam-5784	224	10	(	(	PUNCT
ejpam-5784	224	11	72γ	72γ	X
ejpam-5784	224	12	(	(	PUNCT
ejpam-5784	224	13	2ρ+	2ρ+	NOUN
ejpam-5784	224	14	1	1	NUM
ejpam-5784	224	15	)	)	PUNCT
ejpam-5784	224	16	γ	γ	X
ejpam-5784	224	17	2	2	NUM
ejpam-5784	224	18	(	(	PUNCT
ejpam-5784	224	19	ρ+	ρ+	NUM
ejpam-5784	224	20	1	1	NUM
ejpam-5784	224	21	)	)	PUNCT
ejpam-5784	224	22	+	+	NUM
ejpam-5784	224	23	24γ	24γ	X
ejpam-5784	224	24	(	(	PUNCT
ejpam-5784	224	25	2ρ+	2ρ+	NUM
ejpam-5784	224	26	1	1	NUM
ejpam-5784	224	27	)	)	PUNCT
ejpam-5784	224	28	cosh	cosh	NOUN
ejpam-5784	224	29	(	(	PUNCT
ejpam-5784	224	30	2ς	2ς	NUM
ejpam-5784	224	31	)	)	PUNCT
ejpam-5784	224	32	γ	γ	X
ejpam-5784	224	33	2	2	NUM
ejpam-5784	224	34	(	(	PUNCT
ejpam-5784	224	35	ρ+	ρ+	NUM
ejpam-5784	224	36	1	1	NUM
ejpam-5784	224	37	)	)	PUNCT
ejpam-5784	224	38	+	+	CCONJ
ejpam-5784	224	39	48	48	NUM
ejpam-5784	224	40	cosh	cosh	NOUN
ejpam-5784	224	41	(	(	PUNCT
ejpam-5784	224	42	2ς)−	2ς)−	NUM
ejpam-5784	224	43	336	336	NUM
ejpam-5784	224	44	)	)	PUNCT
ejpam-5784	224	45	τ3ρ	τ3ρ	PROPN
ejpam-5784	224	46	γ	γ	PROPN
ejpam-5784	224	47	(	(	PUNCT
ejpam-5784	224	48	3ρ+	3ρ+	NUM
ejpam-5784	224	49	1	1	NUM
ejpam-5784	224	50	)	)	PUNCT
ejpam-5784	224	51	ψ3	ψ3	NOUN
ejpam-5784	224	52	(	(	PUNCT
ejpam-5784	224	53	ς	ς	PROPN
ejpam-5784	224	54	,	,	PUNCT
ejpam-5784	224	55	τ	τ	X
ejpam-5784	224	56	)	)	PUNCT
ejpam-5784	224	57	=	=	SYM
ejpam-5784	224	58	2	2	NUM
ejpam-5784	224	59	sech(ς	sech(ς	NOUN
ejpam-5784	224	60	)	)	PUNCT
ejpam-5784	224	61	+	+	CCONJ
ejpam-5784	224	62	(	(	PUNCT
ejpam-5784	224	63	4	4	NUM
ejpam-5784	224	64	sech(ς	sech(ς	NOUN
ejpam-5784	224	65	)	)	PUNCT
ejpam-5784	224	66	tanh	tanh	NOUN
ejpam-5784	224	67	(	(	PUNCT
ejpam-5784	224	68	ς	ς	NOUN
ejpam-5784	224	69	)	)	PUNCT
ejpam-5784	224	70	)	)	PUNCT
ejpam-5784	224	71	τρ	τρ	ADP
ejpam-5784	224	72	γ	γ	PROPN
ejpam-5784	224	73	(	(	PUNCT
ejpam-5784	224	74	ρ+	ρ+	NUM
ejpam-5784	224	75	1	1	NUM
ejpam-5784	224	76	)	)	PUNCT
ejpam-5784	224	77	+	+	CCONJ
ejpam-5784	224	78	(	(	PUNCT
ejpam-5784	224	79	4	4	NUM
ejpam-5784	224	80	sech3(ς	sech3(ς	NOUN
ejpam-5784	224	81	)	)	PUNCT
ejpam-5784	224	82	(	(	PUNCT
ejpam-5784	224	83	cosh	cosh	X
ejpam-5784	224	84	(	(	PUNCT
ejpam-5784	224	85	2ς)−	2ς)−	NUM
ejpam-5784	224	86	3	3	NUM
ejpam-5784	224	87	)	)	PUNCT
ejpam-5784	224	88	)	)	PUNCT
ejpam-5784	224	89	τ2ρ	τ2ρ	PUNCT
ejpam-5784	224	90	γ	γ	X
ejpam-5784	224	91	(	(	PUNCT
ejpam-5784	224	92	2ρ+	2ρ+	NOUN
ejpam-5784	224	93	1	1	NUM
ejpam-5784	224	94	)	)	PUNCT
ejpam-5784	224	95	+	+	CCONJ
ejpam-5784	224	96	tanh	tanh	PROPN
ejpam-5784	224	97	(	(	PUNCT
ejpam-5784	224	98	ς	ς	NOUN
ejpam-5784	224	99	)	)	PUNCT
ejpam-5784	224	100	sech5	sech5	X
ejpam-5784	224	101	(	(	PUNCT
ejpam-5784	224	102	ς	ς	NOUN
ejpam-5784	224	103	)	)	PUNCT
ejpam-5784	224	104	(	(	PUNCT
ejpam-5784	224	105	438−	438−	NUM
ejpam-5784	224	106	232cosh	232cosh	PROPN
ejpam-5784	224	107	(	(	PUNCT
ejpam-5784	224	108	2ς	2ς	NUM
ejpam-5784	224	109	)	)	PUNCT
ejpam-5784	225	1	+	+	CCONJ
ejpam-5784	225	2	2cosh	2cosh	NUM
ejpam-5784	225	3	(	(	PUNCT
ejpam-5784	225	4	4ς	4ς	NOUN
ejpam-5784	225	5	)	)	PUNCT
ejpam-5784	225	6	−240γ	−240γ	NOUN
ejpam-5784	225	7	(	(	PUNCT
ejpam-5784	225	8	2ρ+	2ρ+	NOUN
ejpam-5784	225	9	1	1	NUM
ejpam-5784	225	10	)	)	PUNCT
ejpam-5784	225	11	γ	γ	X
ejpam-5784	225	12	2	2	NUM
ejpam-5784	225	13	(	(	PUNCT
ejpam-5784	225	14	ρ+	ρ+	NUM
ejpam-5784	225	15	1	1	NUM
ejpam-5784	225	16	)	)	PUNCT
ejpam-5784	225	17	+	+	NUM
ejpam-5784	225	18	96γ	96γ	NOUN
ejpam-5784	225	19	(	(	PUNCT
ejpam-5784	225	20	2ρ+	2ρ+	NUM
ejpam-5784	225	21	1	1	NUM
ejpam-5784	225	22	)	)	PUNCT
ejpam-5784	225	23	cosh	cosh	NOUN
ejpam-5784	225	24	(	(	PUNCT
ejpam-5784	225	25	2ς	2ς	NUM
ejpam-5784	225	26	)	)	PUNCT
ejpam-5784	225	27	γ	γ	X
ejpam-5784	225	28	2	2	NUM
ejpam-5784	225	29	(	(	PUNCT
ejpam-5784	225	30	ρ+	ρ+	NUM
ejpam-5784	225	31	1	1	NUM
ejpam-5784	225	32	)	)	PUNCT
ejpam-5784	225	33	)	)	PUNCT
ejpam-5784	225	34	τ3ρ	τ3ρ	PROPN
ejpam-5784	225	35	γ	γ	PROPN
ejpam-5784	225	36	(	(	PUNCT
ejpam-5784	225	37	3ρ+	3ρ+	NUM
ejpam-5784	225	38	1	1	NUM
ejpam-5784	225	39	)	)	PUNCT
ejpam-5784	225	40	(	(	PUNCT
ejpam-5784	225	41	24	24	NUM
ejpam-5784	225	42	)	)	PUNCT
ejpam-5784	225	43	furthermore	furthermore	ADV
ejpam-5784	225	44	,	,	PUNCT
ejpam-5784	225	45	the	the	DET
ejpam-5784	225	46	values	value	NOUN
ejpam-5784	225	47	of	of	ADP
ejpam-5784	225	48	j	j	PROPN
ejpam-5784	225	49	-	-	PUNCT
ejpam-5784	225	50	th	th	VERB
ejpam-5784	225	51	truncation	truncation	NOUN
ejpam-5784	225	52	approximate	approximate	ADJ
ejpam-5784	225	53	solutions	solution	NOUN
ejpam-5784	225	54	for	for	ADP
ejpam-5784	225	55	each	each	DET
ejpam-5784	225	56	j	j	PROPN
ejpam-5784	225	57	≥	≥	NUM
ejpam-5784	225	58	4	4	NUM
ejpam-5784	225	59	may	may	AUX
ejpam-5784	225	60	be	be	AUX
ejpam-5784	225	61	constructed	construct	VERB
ejpam-5784	225	62	in	in	ADP
ejpam-5784	225	63	a	a	DET
ejpam-5784	225	64	similar	similar	ADJ
ejpam-5784	225	65	manner	manner	NOUN
ejpam-5784	225	66	.	.	PUNCT
ejpam-5784	226	1	in	in	ADP
ejpam-5784	226	2	what	what	PRON
ejpam-5784	226	3	follows	follow	VERB
ejpam-5784	226	4	,	,	PUNCT
ejpam-5784	226	5	the	the	DET
ejpam-5784	226	6	achieved	achieve	VERB
ejpam-5784	226	7	j	j	NOUN
ejpam-5784	226	8	-	-	NOUN
ejpam-5784	226	9	terms	term	NOUN
ejpam-5784	226	10	in	in	ADP
ejpam-5784	226	11	the	the	DET
ejpam-5784	226	12	shape	shape	NOUN
ejpam-5784	226	13	of	of	ADP
ejpam-5784	226	14	an	an	DET
ejpam-5784	226	15	infinite	infinite	ADJ
ejpam-5784	226	16	series	series	NOUN
ejpam-5784	226	17	guides	guide	VERB
ejpam-5784	226	18	us	we	PRON
ejpam-5784	226	19	to	to	ADP
ejpam-5784	226	20	the	the	DET
ejpam-5784	226	21	analytical	analytical	ADJ
ejpam-5784	226	22	-	-	PUNCT
ejpam-5784	226	23	approximate	approximate	ADJ
ejpam-5784	226	24	solutions	solution	NOUN
ejpam-5784	226	25	φ	φ	X
ejpam-5784	226	26	(	(	PUNCT
ejpam-5784	226	27	ς	ς	PROPN
ejpam-5784	226	28	,	,	PUNCT
ejpam-5784	226	29	τ	τ	PROPN
ejpam-5784	226	30	)	)	PUNCT
ejpam-5784	226	31	,	,	PUNCT
ejpam-5784	226	32	and	and	CCONJ
ejpam-5784	226	33	ψ	ψ	X
ejpam-5784	226	34	(	(	PUNCT
ejpam-5784	226	35	ς	ς	PROPN
ejpam-5784	226	36	,	,	PUNCT
ejpam-5784	226	37	τ	τ	PROPN
ejpam-5784	226	38	)	)	PUNCT
ejpam-5784	226	39	for	for	ADP
ejpam-5784	226	40	the	the	DET
ejpam-5784	226	41	studied	studied	ADJ
ejpam-5784	226	42	model	model	NOUN
ejpam-5784	226	43	.	.	PUNCT
ejpam-5784	227	1	particularly	particularly	ADV
ejpam-5784	227	2	,	,	PUNCT
ejpam-5784	227	3	the	the	DET
ejpam-5784	227	4	solutions	solution	NOUN
ejpam-5784	227	5	of	of	ADP
ejpam-5784	227	6	fractional	fractional	PROPN
ejpam-5784	227	7	dw	dw	PROPN
ejpam-5784	227	8	-	-	PROPN
ejpam-5784	227	9	se	se	X
ejpam-5784	227	10	(	(	PUNCT
ejpam-5784	227	11	1	1	NUM
ejpam-5784	227	12	)	)	PUNCT
ejpam-5784	227	13	at	at	ADP
ejpam-5784	227	14	ρ	ρ	PROPN
ejpam-5784	227	15	=	=	SYM
ejpam-5784	227	16	1	1	NUM
ejpam-5784	227	17	a	a	PRON
ejpam-5784	227	18	can	can	AUX
ejpam-5784	227	19	be	be	AUX
ejpam-5784	227	20	expressed	express	VERB
ejpam-5784	227	21	in	in	ADP
ejpam-5784	227	22	the	the	DET
ejpam-5784	227	23	forms	form	NOUN
ejpam-5784	227	24	:	:	PUNCT
ejpam-5784	227	25	φ	φ	PROPN
ejpam-5784	227	26	(	(	PUNCT
ejpam-5784	227	27	ς	ς	PROPN
ejpam-5784	227	28	,	,	PUNCT
ejpam-5784	227	29	τ	τ	X
ejpam-5784	227	30	)	)	PUNCT
ejpam-5784	227	31	=	=	NOUN
ejpam-5784	227	32	3	3	NUM
ejpam-5784	227	33	sech2(ς	sech2(ς	NOUN
ejpam-5784	227	34	)	)	PUNCT
ejpam-5784	228	1	+	+	CCONJ
ejpam-5784	228	2	(	(	PUNCT
ejpam-5784	228	3	12	12	NUM
ejpam-5784	228	4	sech2(ς	sech2(ς	NOUN
ejpam-5784	228	5	)	)	PUNCT
ejpam-5784	228	6	tanh	tanh	NOUN
ejpam-5784	228	7	(	(	PUNCT
ejpam-5784	228	8	ς	ς	NOUN
ejpam-5784	228	9	)	)	PUNCT
ejpam-5784	228	10	)	)	PUNCT
ejpam-5784	229	1	τ	τ	X
ejpam-5784	230	1	+	+	CCONJ
ejpam-5784	230	2	(	(	PUNCT
ejpam-5784	230	3	24	24	NUM
ejpam-5784	230	4	sech4(ς	sech4(ς	NOUN
ejpam-5784	230	5	)	)	PUNCT
ejpam-5784	230	6	(	(	PUNCT
ejpam-5784	230	7	cosh	cosh	NOUN
ejpam-5784	230	8	(	(	PUNCT
ejpam-5784	230	9	2ς)−	2ς)−	NUM
ejpam-5784	230	10	2	2	NUM
ejpam-5784	230	11	)	)	PUNCT
ejpam-5784	230	12	)	)	PUNCT
ejpam-5784	230	13	τ2	τ2	NOUN
ejpam-5784	230	14	2	2	NUM
ejpam-5784	230	15	m.	m.	NOUN
ejpam-5784	230	16	alaroud	alaroud	PROPN
ejpam-5784	230	17	,	,	PUNCT
ejpam-5784	230	18	f.	f.	PROPN
ejpam-5784	230	19	aldosari	aldosari	PROPN
ejpam-5784	230	20	/	/	SYM
ejpam-5784	230	21	eur	eur	PROPN
ejpam-5784	230	22	.	.	PUNCT
ejpam-5784	231	1	j.	j.	PROPN
ejpam-5784	231	2	pure	pure	PROPN
ejpam-5784	231	3	appl	appl	PROPN
ejpam-5784	231	4	.	.	PROPN
ejpam-5784	231	5	math	math	PROPN
ejpam-5784	231	6	,	,	PUNCT
ejpam-5784	231	7	18	18	NUM
ejpam-5784	231	8	(	(	PUNCT
ejpam-5784	231	9	1	1	NUM
ejpam-5784	231	10	)	)	PUNCT
ejpam-5784	231	11	(	(	PUNCT
ejpam-5784	231	12	2025	2025	NUM
ejpam-5784	231	13	)	)	PUNCT
ejpam-5784	231	14	,	,	PUNCT
ejpam-5784	231	15	5784	5784	NUM
ejpam-5784	231	16	13	13	NUM
ejpam-5784	231	17	of	of	ADP
ejpam-5784	231	18	25	25	NUM
ejpam-5784	231	19	+	+	CCONJ
ejpam-5784	231	20	sech4	sech4	X
ejpam-5784	231	21	(	(	PUNCT
ejpam-5784	231	22	ς	ς	PROPN
ejpam-5784	231	23	)	)	PUNCT
ejpam-5784	231	24	tanh	tanh	NOUN
ejpam-5784	231	25	(	(	PUNCT
ejpam-5784	231	26	ς	ς	NOUN
ejpam-5784	231	27	)	)	PUNCT
ejpam-5784	231	28	(	(	PUNCT
ejpam-5784	231	29	96	96	NUM
ejpam-5784	231	30	cosh	cosh	NOUN
ejpam-5784	231	31	(	(	PUNCT
ejpam-5784	231	32	2ς)−	2ς)−	NUM
ejpam-5784	231	33	292	292	NUM
ejpam-5784	231	34	)	)	PUNCT
ejpam-5784	231	35	τ3	τ3	NOUN
ejpam-5784	231	36	6	6	NUM
ejpam-5784	231	37	+	+	CCONJ
ejpam-5784	231	38	.	.	PUNCT
ejpam-5784	231	39	.	.	PUNCT
ejpam-5784	231	40	.	.	PUNCT
ejpam-5784	232	1	ψ	ψ	X
ejpam-5784	232	2	(	(	PUNCT
ejpam-5784	232	3	ς	ς	PROPN
ejpam-5784	232	4	,	,	PUNCT
ejpam-5784	232	5	τ	τ	X
ejpam-5784	232	6	)	)	PUNCT
ejpam-5784	232	7	=	=	SYM
ejpam-5784	232	8	2	2	NUM
ejpam-5784	232	9	sech(ς	sech(ς	NOUN
ejpam-5784	232	10	)	)	PUNCT
ejpam-5784	232	11	+	+	CCONJ
ejpam-5784	232	12	(	(	PUNCT
ejpam-5784	232	13	4	4	NUM
ejpam-5784	232	14	sech(ς	sech(ς	NOUN
ejpam-5784	232	15	)	)	PUNCT
ejpam-5784	232	16	tanh	tanh	NOUN
ejpam-5784	232	17	(	(	PUNCT
ejpam-5784	232	18	ς	ς	NOUN
ejpam-5784	232	19	)	)	PUNCT
ejpam-5784	232	20	)	)	PUNCT
ejpam-5784	233	1	τ	τ	X
ejpam-5784	234	1	+	+	CCONJ
ejpam-5784	234	2	(	(	PUNCT
ejpam-5784	234	3	4	4	NUM
ejpam-5784	234	4	sech3(ς	sech3(ς	NOUN
ejpam-5784	234	5	)	)	PUNCT
ejpam-5784	234	6	(	(	PUNCT
ejpam-5784	234	7	cosh	cosh	X
ejpam-5784	234	8	(	(	PUNCT
ejpam-5784	234	9	2ς)−	2ς)−	NUM
ejpam-5784	234	10	3	3	NUM
ejpam-5784	234	11	)	)	PUNCT
ejpam-5784	234	12	)	)	PUNCT
ejpam-5784	235	1	τ2	τ2	NOUN
ejpam-5784	235	2	2	2	NUM
ejpam-5784	235	3	+	+	CCONJ
ejpam-5784	235	4	tanh	tanh	PROPN
ejpam-5784	235	5	(	(	PUNCT
ejpam-5784	235	6	ς	ς	NOUN
ejpam-5784	235	7	)	)	PUNCT
ejpam-5784	235	8	sech5	sech5	X
ejpam-5784	235	9	(	(	PUNCT
ejpam-5784	235	10	ς	ς	NOUN
ejpam-5784	235	11	)	)	PUNCT
ejpam-5784	235	12	(	(	PUNCT
ejpam-5784	235	13	2	2	NUM
ejpam-5784	235	14	cosh	cosh	NOUN
ejpam-5784	235	15	(	(	PUNCT
ejpam-5784	235	16	4ς	4ς	NOUN
ejpam-5784	235	17	)	)	PUNCT
ejpam-5784	236	1	+	+	CCONJ
ejpam-5784	236	2	40	40	NUM
ejpam-5784	236	3	cosh	cosh	NOUN
ejpam-5784	236	4	(	(	PUNCT
ejpam-5784	236	5	2ς)−	2ς)−	NUM
ejpam-5784	236	6	48	48	NUM
ejpam-5784	236	7	)	)	PUNCT
ejpam-5784	236	8	τ3	τ3	NOUN
ejpam-5784	236	9	6	6	NUM
ejpam-5784	236	10	+	+	CCONJ
ejpam-5784	236	11	.	.	PUNCT
ejpam-5784	236	12	.	.	PUNCT
ejpam-5784	236	13	.	.	PUNCT
ejpam-5784	237	1	(	(	PUNCT
ejpam-5784	237	2	25	25	NUM
ejpam-5784	237	3	)	)	PUNCT
ejpam-5784	237	4	which	which	PRON
ejpam-5784	237	5	agree	agree	VERB
ejpam-5784	237	6	with	with	ADP
ejpam-5784	237	7	the	the	DET
ejpam-5784	237	8	first	first	ADJ
ejpam-5784	237	9	three	three	NUM
ejpam-5784	237	10	terms	term	NOUN
ejpam-5784	237	11	of	of	ADP
ejpam-5784	237	12	the	the	DET
ejpam-5784	237	13	maclaurin	maclaurin	NOUN
ejpam-5784	237	14	series	series	NOUN
ejpam-5784	237	15	of	of	ADP
ejpam-5784	237	16	the	the	DET
ejpam-5784	237	17	exact	exact	ADJ
ejpam-5784	237	18	solutions	solution	NOUN
ejpam-5784	237	19	φ	φ	X
ejpam-5784	237	20	(	(	PUNCT
ejpam-5784	237	21	ς	ς	PROPN
ejpam-5784	237	22	,	,	PUNCT
ejpam-5784	237	23	τ	τ	X
ejpam-5784	237	24	)	)	PUNCT
ejpam-5784	237	25	=	=	SYM
ejpam-5784	237	26	3sech2(ς	3sech2(ς	NUM
ejpam-5784	237	27	−	−	NOUN
ejpam-5784	237	28	2τ	2τ	NUM
ejpam-5784	237	29	)	)	PUNCT
ejpam-5784	237	30	,	,	PUNCT
ejpam-5784	237	31	and	and	CCONJ
ejpam-5784	237	32	ψ	ψ	X
ejpam-5784	237	33	(	(	PUNCT
ejpam-5784	237	34	ς	ς	PROPN
ejpam-5784	237	35	,	,	PUNCT
ejpam-5784	237	36	τ	τ	X
ejpam-5784	237	37	)	)	PUNCT
ejpam-5784	237	38	=	=	SYM
ejpam-5784	237	39	2sech(ς	2sech(ς	NUM
ejpam-5784	237	40	−	−	NUM
ejpam-5784	237	41	2τ	2τ	NUM
ejpam-5784	237	42	)	)	PUNCT
ejpam-5784	238	1	[	[	X
ejpam-5784	238	2	9	9	NUM
ejpam-5784	238	3	]	]	PUNCT
ejpam-5784	238	4	.	.	PUNCT
ejpam-5784	239	1	in	in	ADP
ejpam-5784	239	2	what	what	PRON
ejpam-5784	239	3	follows	follow	VERB
ejpam-5784	239	4	,	,	PUNCT
ejpam-5784	239	5	some	some	DET
ejpam-5784	239	6	comparisons	comparison	NOUN
ejpam-5784	239	7	of	of	ADP
ejpam-5784	239	8	numerical	numerical	ADJ
ejpam-5784	239	9	simulations	simulation	NOUN
ejpam-5784	239	10	of	of	ADP
ejpam-5784	239	11	lt	lt	PROPN
ejpam-5784	239	12	-	-	PUNCT
ejpam-5784	239	13	erps	erps	PROPN
ejpam-5784	239	14	outcomes	outcome	NOUN
ejpam-5784	239	15	are	be	AUX
ejpam-5784	239	16	provided	provide	VERB
ejpam-5784	239	17	in	in	ADP
ejpam-5784	239	18	tables	table	NOUN
ejpam-5784	239	19	1	1	NUM
ejpam-5784	239	20	,	,	PUNCT
ejpam-5784	239	21	and	and	CCONJ
ejpam-5784	239	22	2	2	X
ejpam-5784	239	23	.	.	X
ejpam-5784	240	1	the	the	DET
ejpam-5784	240	2	exact	exact	ADJ
ejpam-5784	240	3	and	and	CCONJ
ejpam-5784	240	4	4	4	NUM
ejpam-5784	240	5	-	-	PUNCT
ejpam-5784	240	6	th	th	ADV
ejpam-5784	240	7	approximate	approximate	ADJ
ejpam-5784	240	8	solution	solution	NOUN
ejpam-5784	240	9	φ4	φ4	PROPN
ejpam-5784	240	10	(	(	PUNCT
ejpam-5784	240	11	ς	ς	PROPN
ejpam-5784	240	12	,	,	PUNCT
ejpam-5784	240	13	τ	τ	PROPN
ejpam-5784	240	14	)	)	PUNCT
ejpam-5784	240	15	,	,	PUNCT
ejpam-5784	240	16	for	for	ADP
ejpam-5784	240	17	the	the	DET
ejpam-5784	240	18	fractional	fractional	PROPN
ejpam-5784	240	19	dw	dw	PROPN
ejpam-5784	240	20	-	-	PUNCT
ejpam-5784	240	21	se	se	X
ejpam-5784	240	22	(	(	PUNCT
ejpam-5784	240	23	1	1	NUM
ejpam-5784	240	24	)	)	PUNCT
ejpam-5784	240	25	as	as	ADV
ejpam-5784	240	26	well	well	ADV
ejpam-5784	240	27	the	the	DET
ejpam-5784	240	28	absolute	absolute	ADJ
ejpam-5784	240	29	errors	error	NOUN
ejpam-5784	240	30	|φ−	|φ−	ADP
ejpam-5784	240	31	φ4|	φ4|	NOUN
ejpam-5784	240	32	are	be	AUX
ejpam-5784	240	33	listed	list	VERB
ejpam-5784	240	34	in	in	ADP
ejpam-5784	240	35	table	table	NOUN
ejpam-5784	240	36	1	1	NUM
ejpam-5784	240	37	based	base	VERB
ejpam-5784	240	38	on	on	ADP
ejpam-5784	240	39	the	the	DET
ejpam-5784	240	40	future	future	NOUN
ejpam-5784	240	41	our	our	PRON
ejpam-5784	240	42	method	method	NOUN
ejpam-5784	240	43	and	and	CCONJ
ejpam-5784	240	44	mgmlfm	mgmlfm	X
ejpam-5784	241	1	[	[	X
ejpam-5784	241	2	9	9	NUM
ejpam-5784	241	3	]	]	PUNCT
ejpam-5784	241	4	.	.	PUNCT
ejpam-5784	242	1	in	in	ADP
ejpam-5784	242	2	table	table	NOUN
ejpam-5784	242	3	2	2	NUM
ejpam-5784	242	4	,	,	PUNCT
ejpam-5784	242	5	absolute	absolute	ADJ
ejpam-5784	242	6	errors	error	NOUN
ejpam-5784	242	7	|φ−	|φ−	ADP
ejpam-5784	242	8	φ4|	φ4|	NOUN
ejpam-5784	242	9	are	be	AUX
ejpam-5784	242	10	given	give	VERB
ejpam-5784	242	11	for	for	ADP
ejpam-5784	242	12	different	different	ADJ
ejpam-5784	242	13	for	for	ADP
ejpam-5784	242	14	diverse	diverse	ADJ
ejpam-5784	242	15	values	value	NOUN
ejpam-5784	242	16	of	of	ADP
ejpam-5784	242	17	ρ	ρ	PROPN
ejpam-5784	242	18	.	.	PUNCT
ejpam-5784	243	1	here	here	ADV
ejpam-5784	243	2	,	,	PUNCT
ejpam-5784	243	3	high	high	ADJ
ejpam-5784	243	4	precision	precision	NOUN
ejpam-5784	243	5	up	up	ADP
ejpam-5784	243	6	to	to	ADP
ejpam-5784	243	7	eleven	eleven	NUM
ejpam-5784	243	8	digits	digit	NOUN
ejpam-5784	243	9	in	in	ADP
ejpam-5784	243	10	the	the	DET
ejpam-5784	243	11	outcomes	outcome	NOUN
ejpam-5784	243	12	is	be	AUX
ejpam-5784	243	13	observed	observe	VERB
ejpam-5784	243	14	even	even	ADV
ejpam-5784	243	15	in	in	ADP
ejpam-5784	243	16	four	four	NUM
ejpam-5784	243	17	-	-	PUNCT
ejpam-5784	243	18	term	term	NOUN
ejpam-5784	243	19	approximation	approximation	NOUN
ejpam-5784	243	20	,	,	PUNCT
ejpam-5784	243	21	which	which	PRON
ejpam-5784	243	22	indicates	indicate	VERB
ejpam-5784	243	23	the	the	DET
ejpam-5784	243	24	validity	validity	NOUN
ejpam-5784	243	25	of	of	ADP
ejpam-5784	243	26	the	the	DET
ejpam-5784	243	27	present	present	ADJ
ejpam-5784	243	28	procedure	procedure	NOUN
ejpam-5784	243	29	.	.	PUNCT
ejpam-5784	244	1	moreover	moreover	ADV
ejpam-5784	244	2	,	,	PUNCT
ejpam-5784	244	3	some	some	DET
ejpam-5784	244	4	graphic	graphic	ADJ
ejpam-5784	244	5	representations	representation	NOUN
ejpam-5784	244	6	achieved	achieve	VERB
ejpam-5784	244	7	by	by	ADP
ejpam-5784	244	8	the	the	DET
ejpam-5784	244	9	proposed	propose	VERB
ejpam-5784	244	10	approach	approach	NOUN
ejpam-5784	244	11	for	for	ADP
ejpam-5784	244	12	the	the	DET
ejpam-5784	244	13	governing	govern	VERB
ejpam-5784	244	14	dw	dw	NOUN
ejpam-5784	244	15	-	-	PUNCT
ejpam-5784	244	16	se	se	X
ejpam-5784	244	17	(	(	PUNCT
ejpam-5784	244	18	1	1	X
ejpam-5784	244	19	)	)	PUNCT
ejpam-5784	244	20	are	be	AUX
ejpam-5784	244	21	displayed	display	VERB
ejpam-5784	244	22	in	in	ADP
ejpam-5784	244	23	figures	figure	NOUN
ejpam-5784	244	24	1	1	NUM
ejpam-5784	244	25	,	,	PUNCT
ejpam-5784	244	26	2	2	NUM
ejpam-5784	244	27	and	and	CCONJ
ejpam-5784	244	28	3	3	NUM
ejpam-5784	244	29	.	.	PUNCT
ejpam-5784	245	1	the	the	DET
ejpam-5784	245	2	acquired	acquire	VERB
ejpam-5784	245	3	4	4	NUM
ejpam-5784	245	4	-	-	PUNCT
ejpam-5784	245	5	th	th	VERB
ejpam-5784	245	6	approximate	approximate	ADJ
ejpam-5784	245	7	solutions	solution	NOUN
ejpam-5784	245	8	are	be	AUX
ejpam-5784	245	9	portrayed	portray	VERB
ejpam-5784	245	10	in	in	ADP
ejpam-5784	245	11	figure	figure	NOUN
ejpam-5784	245	12	1	1	NUM
ejpam-5784	245	13	for	for	ADP
ejpam-5784	245	14	diverse	diverse	ADJ
ejpam-5784	245	15	values	value	NOUN
ejpam-5784	245	16	of	of	ADP
ejpam-5784	245	17	ρ	ρ	PROPN
ejpam-5784	245	18	that	that	PRON
ejpam-5784	245	19	are	be	AUX
ejpam-5784	245	20	given	give	VERB
ejpam-5784	245	21	as	as	ADP
ejpam-5784	245	22	:	:	PUNCT
ejpam-5784	245	23	1	1	NUM
ejpam-5784	245	24	,	,	PUNCT
ejpam-5784	245	25	0.88	0.88	NUM
ejpam-5784	245	26	,	,	PUNCT
ejpam-5784	245	27	and	and	CCONJ
ejpam-5784	245	28	0.77	0.77	NUM
ejpam-5784	245	29	,	,	PUNCT
ejpam-5784	245	30	respectively	respectively	ADV
ejpam-5784	245	31	with	with	ADP
ejpam-5784	245	32	fix	fix	NOUN
ejpam-5784	245	33	ς	ς	NOUN
ejpam-5784	245	34	=	=	NOUN
ejpam-5784	245	35	3	3	NUM
ejpam-5784	245	36	over	over	ADP
ejpam-5784	245	37	a	a	DET
ejpam-5784	245	38	temporal	temporal	ADJ
ejpam-5784	245	39	domain	domain	NOUN
ejpam-5784	245	40	τ	τ	X
ejpam-5784	245	41	∈	∈	PROPN
ejpam-5784	246	1	[	[	X
ejpam-5784	246	2	0	0	NUM
ejpam-5784	246	3	,	,	PUNCT
ejpam-5784	246	4	1	1	NUM
ejpam-5784	246	5	]	]	PUNCT
ejpam-5784	246	6	,	,	PUNCT
ejpam-5784	246	7	where	where	SCONJ
ejpam-5784	246	8	the	the	DET
ejpam-5784	246	9	moving	moving	NOUN
ejpam-5784	246	10	of	of	ADP
ejpam-5784	246	11	fractional	fractional	ADJ
ejpam-5784	246	12	curves	curve	NOUN
ejpam-5784	246	13	of	of	ADP
ejpam-5784	246	14	the	the	DET
ejpam-5784	246	15	solutions	solution	NOUN
ejpam-5784	246	16	for	for	ADP
ejpam-5784	246	17	the	the	DET
ejpam-5784	246	18	target	target	NOUN
ejpam-5784	246	19	model	model	NOUN
ejpam-5784	246	20	(	(	PUNCT
ejpam-5784	246	21	1	1	X
ejpam-5784	246	22	)	)	PUNCT
ejpam-5784	246	23	are	be	AUX
ejpam-5784	246	24	provided	provide	VERB
ejpam-5784	246	25	in	in	ADP
ejpam-5784	246	26	2d	2d	NOUN
ejpam-5784	246	27	-	-	PUNCT
ejpam-5784	246	28	diagram	diagram	NOUN
ejpam-5784	246	29	.	.	PUNCT
ejpam-5784	247	1	from	from	ADP
ejpam-5784	247	2	this	this	DET
ejpam-5784	247	3	diagram	diagram	NOUN
ejpam-5784	247	4	,	,	PUNCT
ejpam-5784	247	5	one	one	PRON
ejpam-5784	247	6	may	may	AUX
ejpam-5784	247	7	note	note	VERB
ejpam-5784	247	8	the	the	DET
ejpam-5784	247	9	immense	immense	ADJ
ejpam-5784	247	10	impact	impact	NOUN
ejpam-5784	247	11	of	of	ADP
ejpam-5784	247	12	the	the	DET
ejpam-5784	247	13	fractional	fractional	ADJ
ejpam-5784	247	14	-	-	PUNCT
ejpam-5784	247	15	order	order	NOUN
ejpam-5784	247	16	parameter	parameter	NOUN
ejpam-5784	247	17	ρ	ρ	PROPN
ejpam-5784	247	18	on	on	ADP
ejpam-5784	247	19	the	the	DET
ejpam-5784	247	20	solutions	solution	NOUN
ejpam-5784	247	21	’	'	PUNCT
ejpam-5784	247	22	coincide	coincide	NOUN
ejpam-5784	247	23	and	and	CCONJ
ejpam-5784	247	24	homogeneity	homogeneity	NOUN
ejpam-5784	247	25	concerning	concern	VERB
ejpam-5784	247	26	the	the	DET
ejpam-5784	247	27	time	time	NOUN
ejpam-5784	247	28	variable	variable	NOUN
ejpam-5784	247	29	.	.	PUNCT
ejpam-5784	248	1	in	in	ADP
ejpam-5784	248	2	figure	figure	NOUN
ejpam-5784	248	3	2	2	NUM
ejpam-5784	248	4	,	,	PUNCT
ejpam-5784	248	5	3d	3d	NUM
ejpam-5784	248	6	-	-	PUNCT
ejpam-5784	248	7	surface	surface	NOUN
ejpam-5784	248	8	plots	plot	NOUN
ejpam-5784	248	9	of	of	ADP
ejpam-5784	248	10	the	the	DET
ejpam-5784	248	11	exact	exact	NOUN
ejpam-5784	248	12	versus	versus	ADP
ejpam-5784	248	13	the	the	DET
ejpam-5784	248	14	obtained	obtain	VERB
ejpam-5784	248	15	solutions	solution	NOUN
ejpam-5784	248	16	φ4(ς	φ4(ς	PROPN
ejpam-5784	248	17	,	,	PUNCT
ejpam-5784	248	18	τ	τ	NOUN
ejpam-5784	248	19	)	)	PUNCT
ejpam-5784	248	20	,	,	PUNCT
ejpam-5784	248	21	and	and	CCONJ
ejpam-5784	248	22	ψ4(ς	ψ4(ς	PROPN
ejpam-5784	248	23	,	,	PUNCT
ejpam-5784	248	24	τ	τ	NOUN
ejpam-5784	248	25	)	)	PUNCT
ejpam-5784	248	26	behavior	behavior	NOUN
ejpam-5784	248	27	’	'	PUNCT
ejpam-5784	248	28	via	via	ADP
ejpam-5784	248	29	our	our	PRON
ejpam-5784	248	30	used	use	VERB
ejpam-5784	248	31	method	method	NOUN
ejpam-5784	248	32	over	over	ADP
ejpam-5784	248	33	a	a	DET
ejpam-5784	248	34	large	large	ADJ
ejpam-5784	248	35	enough	enough	ADJ
ejpam-5784	248	36	space	space	NOUN
ejpam-5784	248	37	-	-	PUNCT
ejpam-5784	248	38	time	time	NOUN
ejpam-5784	248	39	domain	domain	NOUN
ejpam-5784	248	40	(	(	PUNCT
ejpam-5784	248	41	ς	ς	PROPN
ejpam-5784	248	42	,	,	PUNCT
ejpam-5784	248	43	τ	τ	X
ejpam-5784	248	44	)	)	PUNCT
ejpam-5784	248	45	=	=	PUNCT
ejpam-5784	249	1	[	[	X
ejpam-5784	249	2	−5	−5	NOUN
ejpam-5784	249	3	,	,	PUNCT
ejpam-5784	249	4	5]×	5]×	PROPN
ejpam-5784	250	1	[	[	X
ejpam-5784	250	2	0	0	NUM
ejpam-5784	250	3	,	,	PUNCT
ejpam-5784	250	4	0.1	0.1	NUM
ejpam-5784	250	5	]	]	PUNCT
ejpam-5784	250	6	for	for	ADP
ejpam-5784	250	7	ρ	ρ	PROPN
ejpam-5784	250	8	∈	∈	PROPN
ejpam-5784	250	9	{	{	PUNCT
ejpam-5784	250	10	0.85	0.85	NUM
ejpam-5784	250	11	,	,	PUNCT
ejpam-5784	250	12	1	1	NUM
ejpam-5784	250	13	}	}	PUNCT
ejpam-5784	250	14	,	,	PUNCT
ejpam-5784	250	15	are	be	AUX
ejpam-5784	250	16	presented.further	presented.further	PRON
ejpam-5784	250	17	,	,	PUNCT
ejpam-5784	250	18	the	the	DET
ejpam-5784	250	19	coupled	couple	VERB
ejpam-5784	250	20	3d	3d	NUM
ejpam-5784	250	21	-	-	PUNCT
ejpam-5784	250	22	surface	surface	NOUN
ejpam-5784	250	23	plots	plot	NOUN
ejpam-5784	250	24	of	of	ADP
ejpam-5784	250	25	exact	exact	NOUN
ejpam-5784	250	26	versus	versus	ADP
ejpam-5784	250	27	obtained	obtain	VERB
ejpam-5784	250	28	solutions	solution	NOUN
ejpam-5784	250	29	φ4(ς	φ4(ς	PROPN
ejpam-5784	250	30	,	,	PUNCT
ejpam-5784	250	31	τ	τ	NOUN
ejpam-5784	250	32	)	)	PUNCT
ejpam-5784	250	33	,	,	PUNCT
ejpam-5784	250	34	and	and	CCONJ
ejpam-5784	250	35	ψ4(ς	ψ4(ς	PROPN
ejpam-5784	250	36	,	,	PUNCT
ejpam-5784	250	37	τ	τ	PROPN
ejpam-5784	250	38	)	)	PUNCT
ejpam-5784	250	39	over	over	ADP
ejpam-5784	250	40	a	a	DET
ejpam-5784	250	41	large	large	ADJ
ejpam-5784	250	42	enough	enough	ADJ
ejpam-5784	250	43	spacetime	spacetime	NOUN
ejpam-5784	250	44	domain	domain	NOUN
ejpam-5784	250	45	(	(	PUNCT
ejpam-5784	250	46	ς	ς	PROPN
ejpam-5784	250	47	,	,	PUNCT
ejpam-5784	250	48	τ	τ	X
ejpam-5784	250	49	)	)	PUNCT
ejpam-5784	250	50	=	=	PUNCT
ejpam-5784	251	1	[	[	X
ejpam-5784	251	2	−3	−3	X
ejpam-5784	251	3	,	,	PUNCT
ejpam-5784	251	4	3	3	X
ejpam-5784	251	5	]	]	X
ejpam-5784	251	6	×	×	NOUN
ejpam-5784	251	7	[	[	X
ejpam-5784	251	8	0	0	NUM
ejpam-5784	251	9	,	,	PUNCT
ejpam-5784	251	10	0.1	0.1	NUM
ejpam-5784	251	11	]	]	PUNCT
ejpam-5784	251	12	for	for	ADP
ejpam-5784	251	13	diverse	diverse	ADJ
ejpam-5784	251	14	values	value	NOUN
ejpam-5784	251	15	of	of	ADP
ejpam-5784	251	16	ρ	ρ	PROPN
ejpam-5784	251	17	are	be	AUX
ejpam-5784	251	18	presented	present	VERB
ejpam-5784	251	19	in	in	ADP
ejpam-5784	251	20	figure	figure	NOUN
ejpam-5784	251	21	3	3	NUM
ejpam-5784	251	22	.	.	PUNCT
ejpam-5784	252	1	clearly	clearly	ADV
ejpam-5784	252	2	,	,	PUNCT
ejpam-5784	252	3	the	the	DET
ejpam-5784	252	4	diagrams	diagram	NOUN
ejpam-5784	252	5	highlight	highlight	VERB
ejpam-5784	252	6	that	that	SCONJ
ejpam-5784	252	7	the	the	DET
ejpam-5784	252	8	outcomes	outcome	NOUN
ejpam-5784	252	9	of	of	ADP
ejpam-5784	252	10	the	the	DET
ejpam-5784	252	11	lt	lt	PROPN
ejpam-5784	252	12	-	-	PUNCT
ejpam-5784	252	13	rfps	rfps	PROPN
ejpam-5784	252	14	approach	approach	NOUN
ejpam-5784	252	15	are	be	AUX
ejpam-5784	252	16	almost	almost	ADV
ejpam-5784	252	17	identical	identical	ADJ
ejpam-5784	252	18	to	to	ADP
ejpam-5784	252	19	one	one	NUM
ejpam-5784	252	20	another	another	DET
ejpam-5784	252	21	and	and	CCONJ
ejpam-5784	252	22	align	align	VERB
ejpam-5784	252	23	with	with	ADP
ejpam-5784	252	24	the	the	DET
ejpam-5784	252	25	exact	exact	ADJ
ejpam-5784	252	26	solutions	solution	NOUN
ejpam-5784	252	27	stated	state	VERB
ejpam-5784	252	28	in	in	ADP
ejpam-5784	252	29	reference	reference	NOUN
ejpam-5784	252	30	[	[	X
ejpam-5784	252	31	46	46	NUM
ejpam-5784	252	32	]	]	PUNCT
ejpam-5784	252	33	for	for	ADP
ejpam-5784	252	34	the	the	DET
ejpam-5784	252	35	studied	study	VERB
ejpam-5784	252	36	fractional	fractional	ADJ
ejpam-5784	252	37	ds	ds	NOUN
ejpam-5784	252	38	-	-	PUNCT
ejpam-5784	252	39	we	we	PRON
ejpam-5784	252	40	(	(	PUNCT
ejpam-5784	252	41	1	1	NUM
ejpam-5784	252	42	)	)	PUNCT
ejpam-5784	252	43	.	.	PUNCT
ejpam-5784	253	1	in	in	ADP
ejpam-5784	253	2	summary	summary	NOUN
ejpam-5784	253	3	,	,	PUNCT
ejpam-5784	253	4	the	the	DET
ejpam-5784	253	5	outcomes	outcome	NOUN
ejpam-5784	253	6	indicate	indicate	VERB
ejpam-5784	253	7	that	that	SCONJ
ejpam-5784	253	8	even	even	ADV
ejpam-5784	253	9	with	with	ADP
ejpam-5784	253	10	fewer	few	ADJ
ejpam-5784	253	11	iterations	iteration	NOUN
ejpam-5784	253	12	,	,	PUNCT
ejpam-5784	253	13	lt	lt	PROPN
ejpam-5784	253	14	-	-	PUNCT
ejpam-5784	253	15	rfps	rfps	PROPN
ejpam-5784	253	16	solutions	solution	NOUN
ejpam-5784	253	17	demonstrate	demonstrate	VERB
ejpam-5784	253	18	high	high	ADJ
ejpam-5784	253	19	accuracy	accuracy	NOUN
ejpam-5784	253	20	and	and	CCONJ
ejpam-5784	253	21	efficiency	efficiency	NOUN
ejpam-5784	253	22	compared	compare	VERB
ejpam-5784	253	23	to	to	ADP
ejpam-5784	253	24	other	other	ADJ
ejpam-5784	253	25	well	well	ADV
ejpam-5784	253	26	-	-	PUNCT
ejpam-5784	253	27	known	know	VERB
ejpam-5784	253	28	numerical	numerical	ADJ
ejpam-5784	253	29	solvers	solver	NOUN
ejpam-5784	253	30	.	.	PUNCT
ejpam-5784	254	1	these	these	PRON
ejpam-5784	254	2	are	be	AUX
ejpam-5784	254	3	the	the	DET
ejpam-5784	254	4	most	most	ADV
ejpam-5784	254	5	crucial	crucial	ADJ
ejpam-5784	254	6	features	feature	NOUN
ejpam-5784	254	7	of	of	ADP
ejpam-5784	254	8	the	the	DET
ejpam-5784	254	9	presented	present	VERB
ejpam-5784	254	10	technique	technique	NOUN
ejpam-5784	254	11	,	,	PUNCT
ejpam-5784	254	12	which	which	PRON
ejpam-5784	254	13	provides	provide	VERB
ejpam-5784	254	14	more	more	ADV
ejpam-5784	254	15	precise	precise	ADJ
ejpam-5784	254	16	and	and	CCONJ
ejpam-5784	254	17	reliable	reliable	ADJ
ejpam-5784	254	18	approximations	approximation	NOUN
ejpam-5784	254	19	over	over	ADP
ejpam-5784	254	20	the	the	DET
ejpam-5784	254	21	considered	consider	VERB
ejpam-5784	254	22	domain	domain	NOUN
ejpam-5784	254	23	.	.	PUNCT
ejpam-5784	255	1	m.	m.	PROPN
ejpam-5784	255	2	alaroud	alaroud	PROPN
ejpam-5784	255	3	,	,	PUNCT
ejpam-5784	255	4	f.	f.	PROPN
ejpam-5784	255	5	aldosari	aldosari	PROPN
ejpam-5784	255	6	/	/	SYM
ejpam-5784	255	7	eur	eur	PROPN
ejpam-5784	255	8	.	.	PUNCT
ejpam-5784	256	1	j.	j.	PROPN
ejpam-5784	256	2	pure	pure	PROPN
ejpam-5784	256	3	appl	appl	PROPN
ejpam-5784	256	4	.	.	PROPN
ejpam-5784	256	5	math	math	PROPN
ejpam-5784	256	6	,	,	PUNCT
ejpam-5784	256	7	18	18	NUM
ejpam-5784	256	8	(	(	PUNCT
ejpam-5784	256	9	1	1	NUM
ejpam-5784	256	10	)	)	PUNCT
ejpam-5784	256	11	(	(	PUNCT
ejpam-5784	256	12	2025	2025	NUM
ejpam-5784	256	13	)	)	PUNCT
ejpam-5784	256	14	,	,	PUNCT
ejpam-5784	256	15	5784	5784	NUM
ejpam-5784	256	16	14	14	NUM
ejpam-5784	256	17	of	of	ADP
ejpam-5784	256	18	25	25	NUM
ejpam-5784	256	19	table	table	NOUN
ejpam-5784	256	20	1	1	NUM
ejpam-5784	256	21	:	:	PUNCT
ejpam-5784	256	22	comparisons	comparison	NOUN
ejpam-5784	256	23	of	of	ADP
ejpam-5784	256	24	numerical	numerical	ADJ
ejpam-5784	256	25	results	result	NOUN
ejpam-5784	256	26	of	of	ADP
ejpam-5784	256	27	the	the	DET
ejpam-5784	256	28	fractional	fractional	ADJ
ejpam-5784	256	29	ds	ds	NOUN
ejpam-5784	256	30	-	-	PUNCT
ejpam-5784	256	31	we	we	PRON
ejpam-5784	256	32	(	(	PUNCT
ejpam-5784	256	33	1.1	1.1	NUM
ejpam-5784	256	34	)	)	PUNCT
ejpam-5784	256	35	at	at	ADP
ejpam-5784	256	36	ρ	ρ	PROPN
ejpam-5784	256	37	=	=	SYM
ejpam-5784	256	38	1	1	NUM
ejpam-5784	256	39	.	.	PUNCT
ejpam-5784	256	40	τ	τ	PROPN
ejpam-5784	257	1	φ(ς	φ(ς	PROPN
ejpam-5784	257	2	,	,	PUNCT
ejpam-5784	257	3	τ	τ	PROPN
ejpam-5784	257	4	)	)	PUNCT
ejpam-5784	257	5	lt	lt	PROPN
ejpam-5784	257	6	-	-	PUNCT
ejpam-5784	257	7	frps	frps	NOUN
ejpam-5784	257	8	mgmlfm	mgmlfm	NOUN
ejpam-5784	258	1	[	[	X
ejpam-5784	258	2	46	46	NUM
ejpam-5784	258	3	]	]	X
ejpam-5784	258	4	φ4(ς	φ4(ς	PROPN
ejpam-5784	258	5	,	,	PUNCT
ejpam-5784	258	6	τ	τ	X
ejpam-5784	258	7	)	)	PUNCT
ejpam-5784	258	8	|φ−	|φ−	ADP
ejpam-5784	258	9	φ4|	φ4|	PROPN
ejpam-5784	258	10	φ4(ς	φ4(ς	PROPN
ejpam-5784	258	11	,	,	PUNCT
ejpam-5784	258	12	τ	τ	X
ejpam-5784	258	13	)	)	PUNCT
ejpam-5784	258	14	|φ−	|φ−	ADP
ejpam-5784	258	15	φ4|	φ4|	PROPN
ejpam-5784	258	16	0.02	0.02	NUM
ejpam-5784	258	17	0.0005901158348	0.0005901158348	NUM
ejpam-5784	258	18	0.0005901158198	0.0005901158198	NUM
ejpam-5784	258	19	1.50329×	1.50329×	NUM
ejpam-5784	258	20	10−11	10−11	NUM
ejpam-5784	258	21	0.000590116	0.000590116	NUM
ejpam-5784	258	22	1.40822×	1.40822×	NUM
ejpam-5784	258	23	10−10	10−10	NUM
ejpam-5784	258	24	0.04	0.04	NUM
ejpam-5784	258	25	0.0006392596155	0.0006392596155	NUM
ejpam-5784	258	26	0.0006392591279	0.0006392591279	NUM
ejpam-5784	258	27	4.87584×	4.87584×	NUM
ejpam-5784	258	28	10−10	10−10	NUM
ejpam-5784	258	29	0.000639261	0.000639261	NUM
ejpam-5784	258	30	1.26010×	1.26010×	NUM
ejpam-5784	258	31	10−9	10−9	NUM
ejpam-5784	258	32	0.06	0.06	NUM
ejpam-5784	258	33	0.0006929455290	0.0006929455290	NUM
ejpam-5784	258	34	0.0006929417537	0.0006929417537	NUM
ejpam-5784	258	35	3.75334×	3.75334×	NUM
ejpam-5784	258	36	10−9	10−9	NUM
ejpam-5784	258	37	0.000692949	0.000692949	NUM
ejpam-5784	258	38	3.70758×	3.70758×	NUM
ejpam-5784	258	39	10−9	10−9	NUM
ejpam-5784	258	40	0.08	0.08	NUM
ejpam-5784	258	41	0.0007501642395	0.0007501642395	NUM
ejpam-5784	258	42	0.0007501482041	0.0007501482041	NUM
ejpam-5784	258	43	1.60354×	1.60354×	NOUN
ejpam-5784	258	44	10−8	10−8	NUM
ejpam-5784	258	45	0.000750173	0.000750173	NUM
ejpam-5784	258	46	8.37625×	8.37625×	NUM
ejpam-5784	258	47	10−8	10−8	NUM
ejpam-5784	258	48	0.1	0.1	NUM
ejpam-5784	258	49	0.0008126347567	0.0008126347567	NUM
ejpam-5784	258	50	0.0008125851368	0.0008125851368	NUM
ejpam-5784	258	51	4.96199×	4.96199×	NOUN
ejpam-5784	258	52	10−8	10−8	NUM
ejpam-5784	258	53	0.000812651	0.000812651	NUM
ejpam-5784	258	54	1.62924×	1.62924×	NUM
ejpam-5784	258	55	10−8	10−8	NUM
ejpam-5784	258	56	τ	τ	PROPN
ejpam-5784	258	57	ψ(ς	ψ(ς	PROPN
ejpam-5784	258	58	,	,	PUNCT
ejpam-5784	258	59	τ	τ	X
ejpam-5784	258	60	)	)	PUNCT
ejpam-5784	258	61	lt	lt	PROPN
ejpam-5784	258	62	-	-	PUNCT
ejpam-5784	258	63	frps	frps	NOUN
ejpam-5784	258	64	mgmlfm	mgmlfm	NOUN
ejpam-5784	258	65	[	[	X
ejpam-5784	258	66	46	46	NUM
ejpam-5784	258	67	]	]	X
ejpam-5784	258	68	ψ4(ς	ψ4(ς	PROPN
ejpam-5784	258	69	,	,	PUNCT
ejpam-5784	258	70	τ	τ	PROPN
ejpam-5784	258	71	)	)	PUNCT
ejpam-5784	258	72	|ψ	|ψ	ADP
ejpam-5784	258	73	−	−	PROPN
ejpam-5784	258	74	ψ4|	ψ4|	PROPN
ejpam-5784	259	1	ψ4(ς	ψ4(ς	PROPN
ejpam-5784	259	2	,	,	PUNCT
ejpam-5784	259	3	τ	τ	PROPN
ejpam-5784	259	4	)	)	PUNCT
ejpam-5784	259	5	|ψ	|ψ	PUNCT
ejpam-5784	260	1	−	−	PROPN
ejpam-5784	260	2	ψ4|	ψ4|	PROPN
ejpam-5784	260	3	0.02	0.02	NUM
ejpam-5784	260	4	0.0280503317828	0.0280503317828	NUM
ejpam-5784	260	5	0.0280503317597	0.0280503317597	NUM
ejpam-5784	260	6	2.28943×	2.28943×	NUM
ejpam-5784	260	7	10−11	10−11	NUM
ejpam-5784	260	8	0.0280504	0.0280504	NUM
ejpam-5784	260	9	5.44042×	5.44042×	NUM
ejpam-5784	260	10	10−8	10−8	NUM
ejpam-5784	260	11	0.04	0.04	NUM
ejpam-5784	260	12	0.0291496797578	0.0291496797578	NUM
ejpam-5784	260	13	0.0291496724634	0.0291496724634	NUM
ejpam-5784	260	14	7.37439×	7.37439×	NUM
ejpam-5784	260	15	10−10	10−10	NUM
ejpam-5784	260	16	0.0291952	0.0291952	NUM
ejpam-5784	260	17	2.32744×	2.32744×	NUM
ejpam-5784	260	18	10−7	10−7	NUM
ejpam-5784	260	19	0.06	0.06	NUM
ejpam-5784	260	20	0.0303863023564	0.0303863023564	NUM
ejpam-5784	260	21	0.0303862947963	0.0303862947963	NUM
ejpam-5784	260	22	7.56003×	7.56003×	NUM
ejpam-5784	260	23	10−9	10−9	NUM
ejpam-5784	260	24	0.0303869	0.0303869	NUM
ejpam-5784	260	25	5.60288×	5.60288×	NUM
ejpam-5784	260	26	10−7	10−7	NUM
ejpam-5784	260	27	0.08	0.08	NUM
ejpam-5784	260	28	0.0316262388864	0.0316262388864	NUM
ejpam-5784	260	29	0.0316262149734	0.0316262149734	NUM
ejpam-5784	260	30	2.29116×	2.29116×	NUM
ejpam-5784	260	31	10−8	10−8	NUM
ejpam-5784	260	32	0.0316273	0.0316273	NUM
ejpam-5784	260	33	1.06608×	1.06608×	NUM
ejpam-5784	260	34	10−6	10−6	NUM
ejpam-5784	260	35	0.1	0.1	NUM
ejpam-5784	260	36	0.0329167587856	0.0329167587856	NUM
ejpam-5784	260	37	0.0329166853227	0.0329166853227	NUM
ejpam-5784	260	38	7.34584×	7.34584×	NUM
ejpam-5784	260	39	10−8	10−8	NUM
ejpam-5784	260	40	0.0329185	0.0329185	NUM
ejpam-5784	260	41	1.78351×	1.78351×	NUM
ejpam-5784	260	42	10−6	10−6	NUM
ejpam-5784	260	43	table	table	NOUN
ejpam-5784	260	44	2	2	NUM
ejpam-5784	260	45	:	:	PUNCT
ejpam-5784	260	46	comparisons	comparison	NOUN
ejpam-5784	260	47	of	of	ADP
ejpam-5784	260	48	|φ−	|φ−	ADP
ejpam-5784	260	49	φ4|	φ4|	NOUN
ejpam-5784	260	50	,	,	PUNCT
ejpam-5784	260	51	for	for	ADP
ejpam-5784	260	52	fractional	fractional	ADJ
ejpam-5784	260	53	ds	ds	NOUN
ejpam-5784	260	54	-	-	PUNCT
ejpam-5784	260	55	we	we	PRON
ejpam-5784	260	56	(	(	PUNCT
ejpam-5784	260	57	1.1	1.1	NUM
ejpam-5784	260	58	)	)	PUNCT
ejpam-5784	260	59	at	at	ADP
ejpam-5784	260	60	different	different	ADJ
ejpam-5784	260	61	values	value	NOUN
ejpam-5784	260	62	of	of	ADP
ejpam-5784	260	63	ρ	ρ	PROPN
ejpam-5784	260	64	=	=	SYM
ejpam-5784	260	65	1	1	NUM
ejpam-5784	260	66	with	with	ADP
ejpam-5784	260	67	fix	fix	NOUN
ejpam-5784	260	68	ς	ς	NOUN
ejpam-5784	260	69	=	=	SYM
ejpam-5784	260	70	5	5	NUM
ejpam-5784	260	71	.	.	PUNCT
ejpam-5784	261	1	τ	τ	PROPN
ejpam-5784	261	2	ρ	ρ	NOUN
ejpam-5784	261	3	=	=	SYM
ejpam-5784	261	4	1	1	NUM
ejpam-5784	261	5	ρ	ρ	NOUN
ejpam-5784	261	6	=	=	NOUN
ejpam-5784	261	7	0.95	0.95	NUM
ejpam-5784	261	8	ρ	ρ	NOUN
ejpam-5784	261	9	=	=	SYM
ejpam-5784	261	10	0.85	0.85	NUM
ejpam-5784	261	11	ρ	ρ	NOUN
ejpam-5784	261	12	=	=	SYM
ejpam-5784	261	13	0.75	0.75	NUM
ejpam-5784	261	14	0.02	0.02	NUM
ejpam-5784	261	15	1.50329×	1.50329×	NUM
ejpam-5784	261	16	10−11	10−11	NUM
ejpam-5784	261	17	1.1633362824×	1.1633362824×	NUM
ejpam-5784	261	18	10−5	10−5	NUM
ejpam-5784	261	19	4.5246511821×	4.5246511821×	NUM
ejpam-5784	261	20	10−5	10−5	NUM
ejpam-5784	261	21	1.0123340205×	1.0123340205×	NUM
ejpam-5784	261	22	10−4	10−4	NUM
ejpam-5784	261	23	0.04	0.04	NUM
ejpam-5784	261	24	4.87584×	4.87584×	NUM
ejpam-5784	261	25	10−10	10−10	NUM
ejpam-5784	261	26	2.1232437835×	2.1232437835×	NUM
ejpam-5784	261	27	10−5	10−5	NUM
ejpam-5784	261	28	8.1287772719×	8.1287772719×	NOUN
ejpam-5784	261	29	10−5	10−5	NUM
ejpam-5784	261	30	1.7985154209×	1.7985154209×	NUM
ejpam-5784	261	31	10−4	10−4	NUM
ejpam-5784	261	32	0.06	0.06	NUM
ejpam-5784	261	33	3.75334×	3.75334×	NUM
ejpam-5784	261	34	10−9	10−9	NUM
ejpam-5784	261	35	3.0975754334×	3.0975754334×	NUM
ejpam-5784	261	36	10−5	10−5	NUM
ejpam-5784	261	37	1.1821394808×	1.1821394808×	NOUN
ejpam-5784	261	38	10−4	10−4	NUM
ejpam-5784	261	39	2.6161210872×	2.6161210872×	PROPN
ejpam-5784	261	40	10−4	10−4	NUM
ejpam-5784	261	41	0.08	0.08	NUM
ejpam-5784	261	42	1.60354×	1.60354×	NUM
ejpam-5784	261	43	10−8	10−8	NUM
ejpam-5784	261	44	4.1300429669×	4.1300429669×	NUM
ejpam-5784	261	45	10−5	10−5	NUM
ejpam-5784	261	46	1.5776568399×	1.5776568399×	NOUN
ejpam-5784	261	47	10−4	10−4	NUM
ejpam-5784	261	48	3.5023773725×	3.5023773725×	NUM
ejpam-5784	261	49	10−4	10−4	NUM
ejpam-5784	261	50	0.1	0.1	NUM
ejpam-5784	261	51	4.96199×	4.96199×	NUM
ejpam-5784	262	1	10−8	10−8	NUM
ejpam-5784	262	2	5.2433675062×	5.2433675062×	NOUN
ejpam-5784	262	3	10−5	10−5	NUM
ejpam-5784	262	4	2.0083445301×	2.0083445301×	NUM
ejpam-5784	262	5	10−4	10−4	NUM
ejpam-5784	262	6	4.4753470392×	4.4753470392×	NUM
ejpam-5784	262	7	10−4	10−4	NUM
ejpam-5784	263	1	[	[	X
ejpam-5784	263	2	a	a	X
ejpam-5784	263	3	]	]	X
ejpam-5784	263	4	[	[	X
ejpam-5784	263	5	b	b	X
ejpam-5784	263	6	]	]	X
ejpam-5784	263	7	figure	figure	NOUN
ejpam-5784	263	8	1	1	NUM
ejpam-5784	263	9	:	:	PUNCT
ejpam-5784	263	10	fractional	fractional	ADJ
ejpam-5784	263	11	-	-	PUNCT
ejpam-5784	263	12	order	order	NOUN
ejpam-5784	263	13	curves	curve	NOUN
ejpam-5784	263	14	of	of	ADP
ejpam-5784	263	15	φ4	φ4	NOUN
ejpam-5784	263	16	(	(	PUNCT
ejpam-5784	263	17	ς	ς	PROPN
ejpam-5784	263	18	,	,	PUNCT
ejpam-5784	263	19	τ	τ	PROPN
ejpam-5784	263	20	)	)	PUNCT
ejpam-5784	263	21	and	and	CCONJ
ejpam-5784	263	22	ψ4	ψ4	PROPN
ejpam-5784	263	23	(	(	PUNCT
ejpam-5784	263	24	ς	ς	PROPN
ejpam-5784	263	25	,	,	PUNCT
ejpam-5784	263	26	τ	τ	PROPN
ejpam-5784	263	27	)	)	PUNCT
ejpam-5784	263	28	for	for	ADP
ejpam-5784	263	29	the	the	DET
ejpam-5784	263	30	time	time	NOUN
ejpam-5784	263	31	-	-	PUNCT
ejpam-5784	263	32	fractional	fractional	ADJ
ejpam-5784	263	33	ds	ds	NOUN
ejpam-5784	263	34	-	-	PUNCT
ejpam-5784	263	35	we	we	PRON
ejpam-5784	263	36	(	(	PUNCT
ejpam-5784	263	37	1	1	X
ejpam-5784	263	38	)	)	PUNCT
ejpam-5784	263	39	at	at	ADP
ejpam-5784	263	40	various	various	ADJ
ejpam-5784	263	41	values	value	NOUN
ejpam-5784	263	42	of	of	ADP
ejpam-5784	263	43	ρ	ρ	PROPN
ejpam-5784	263	44	,	,	PUNCT
ejpam-5784	263	45	where	where	SCONJ
ejpam-5784	263	46	ς	ς	PROPN
ejpam-5784	263	47	=	=	SYM
ejpam-5784	263	48	5	5	NUM
ejpam-5784	263	49	and	and	CCONJ
ejpam-5784	263	50	τ	τ	PROPN
ejpam-5784	263	51	∈	∈	PROPN
ejpam-5784	264	1	[	[	X
ejpam-5784	264	2	0	0	NUM
ejpam-5784	264	3	,	,	PUNCT
ejpam-5784	264	4	1	1	NUM
ejpam-5784	264	5	]	]	PUNCT
ejpam-5784	264	6	.	.	PUNCT
ejpam-5784	265	1	4.2	4.2	NUM
ejpam-5784	265	2	.	.	PUNCT
ejpam-5784	265	3	solution	solution	NOUN
ejpam-5784	265	4	of	of	ADP
ejpam-5784	265	5	non	non	ADJ
ejpam-5784	265	6	-	-	ADJ
ejpam-5784	265	7	linear	linear	ADJ
ejpam-5784	265	8	caputo	caputo	PROPN
ejpam-5784	265	9	time	time	NOUN
ejpam-5784	265	10	-	-	PUNCT
ejpam-5784	265	11	fractional	fractional	ADJ
ejpam-5784	265	12	order	order	NOUN
ejpam-5784	265	13	cvbe	cvbe	NOUN
ejpam-5784	265	14	system	system	NOUN
ejpam-5784	265	15	[	[	X
ejpam-5784	265	16	13	13	NUM
ejpam-5784	265	17	]	]	PUNCT
ejpam-5784	265	18	is	be	AUX
ejpam-5784	265	19	considered	consider	VERB
ejpam-5784	265	20	in	in	ADP
ejpam-5784	265	21	the	the	DET
ejpam-5784	265	22	present	present	ADJ
ejpam-5784	265	23	piece	piece	NOUN
ejpam-5784	265	24	can	can	AUX
ejpam-5784	265	25	be	be	AUX
ejpam-5784	265	26	investigated	investigate	VERB
ejpam-5784	265	27	along	along	ADV
ejpam-5784	265	28	with	with	ADP
ejpam-5784	265	29	following	follow	VERB
ejpam-5784	265	30	initial	initial	ADJ
ejpam-5784	265	31	conditions	condition	NOUN
ejpam-5784	265	32	:	:	PUNCT
ejpam-5784	266	1	φ	φ	PROPN
ejpam-5784	266	2	(	(	PUNCT
ejpam-5784	266	3	ς	ς	PROPN
ejpam-5784	266	4	,	,	PUNCT
ejpam-5784	266	5	0	0	NUM
ejpam-5784	266	6	)	)	PUNCT
ejpam-5784	266	7	=	=	SYM
ejpam-5784	267	1	ψ	ψ	X
ejpam-5784	267	2	(	(	PUNCT
ejpam-5784	267	3	ς	ς	PROPN
ejpam-5784	267	4	,	,	PUNCT
ejpam-5784	267	5	0	0	NUM
ejpam-5784	267	6	)	)	PUNCT
ejpam-5784	267	7	=	=	VERB
ejpam-5784	267	8	sin	sin	NOUN
ejpam-5784	267	9	(	(	PUNCT
ejpam-5784	267	10	ς	ς	NOUN
ejpam-5784	267	11	)	)	PUNCT
ejpam-5784	267	12	.	.	PUNCT
ejpam-5784	268	1	(	(	PUNCT
ejpam-5784	268	2	26	26	NUM
ejpam-5784	268	3	)	)	PUNCT
ejpam-5784	268	4	m.	m.	NOUN
ejpam-5784	268	5	alaroud	alaroud	PROPN
ejpam-5784	268	6	,	,	PUNCT
ejpam-5784	268	7	f.	f.	PROPN
ejpam-5784	268	8	aldosari	aldosari	PROPN
ejpam-5784	268	9	/	/	SYM
ejpam-5784	268	10	eur	eur	PROPN
ejpam-5784	268	11	.	.	PUNCT
ejpam-5784	269	1	j.	j.	PROPN
ejpam-5784	269	2	pure	pure	PROPN
ejpam-5784	269	3	appl	appl	PROPN
ejpam-5784	269	4	.	.	PROPN
ejpam-5784	269	5	math	math	PROPN
ejpam-5784	269	6	,	,	PUNCT
ejpam-5784	269	7	18	18	NUM
ejpam-5784	269	8	(	(	PUNCT
ejpam-5784	269	9	1	1	NUM
ejpam-5784	269	10	)	)	PUNCT
ejpam-5784	269	11	(	(	PUNCT
ejpam-5784	269	12	2025	2025	NUM
ejpam-5784	269	13	)	)	PUNCT
ejpam-5784	269	14	,	,	PUNCT
ejpam-5784	269	15	5784	5784	NUM
ejpam-5784	269	16	15	15	NUM
ejpam-5784	269	17	of	of	ADP
ejpam-5784	269	18	25	25	NUM
ejpam-5784	270	1	[	[	X
ejpam-5784	270	2	a	a	X
ejpam-5784	270	3	]	]	X
ejpam-5784	270	4	[	[	X
ejpam-5784	270	5	b	b	X
ejpam-5784	270	6	]	]	X
ejpam-5784	270	7	figure	figure	NOUN
ejpam-5784	270	8	2	2	NUM
ejpam-5784	270	9	:	:	PUNCT
ejpam-5784	270	10	surface	surface	NOUN
ejpam-5784	270	11	plots	plot	NOUN
ejpam-5784	270	12	of	of	ADP
ejpam-5784	270	13	exact	exact	ADJ
ejpam-5784	270	14	versus	versus	ADP
ejpam-5784	270	15	obtained	obtain	VERB
ejpam-5784	270	16	solutions	solution	NOUN
ejpam-5784	270	17	φ4	φ4	PROPN
ejpam-5784	270	18	(	(	PUNCT
ejpam-5784	270	19	ς	ς	PROPN
ejpam-5784	270	20	,	,	PUNCT
ejpam-5784	270	21	τ	τ	PROPN
ejpam-5784	270	22	)	)	PUNCT
ejpam-5784	270	23	and	and	CCONJ
ejpam-5784	270	24	ψ4	ψ4	PROPN
ejpam-5784	270	25	(	(	PUNCT
ejpam-5784	270	26	ς	ς	PROPN
ejpam-5784	270	27	,	,	PUNCT
ejpam-5784	270	28	τ	τ	PROPN
ejpam-5784	270	29	)	)	PUNCT
ejpam-5784	270	30	for	for	ADP
ejpam-5784	270	31	the	the	DET
ejpam-5784	270	32	time	time	NOUN
ejpam-5784	270	33	-	-	PUNCT
ejpam-5784	270	34	fractional	fractional	ADJ
ejpam-5784	270	35	ds	ds	NOUN
ejpam-5784	270	36	-	-	PUNCT
ejpam-5784	270	37	we	we	PRON
ejpam-5784	270	38	(	(	PUNCT
ejpam-5784	270	39	1	1	X
ejpam-5784	270	40	)	)	PUNCT
ejpam-5784	270	41	at	at	ADP
ejpam-5784	270	42	various	various	ADJ
ejpam-5784	270	43	values	value	NOUN
ejpam-5784	270	44	of	of	ADP
ejpam-5784	270	45	ρ	ρ	PROPN
ejpam-5784	270	46	,	,	PUNCT
ejpam-5784	270	47	where	where	SCONJ
ejpam-5784	270	48	ς	ς	PROPN
ejpam-5784	270	49	∈	∈	PROPN
ejpam-5784	271	1	[	[	X
ejpam-5784	271	2	−5	−5	NOUN
ejpam-5784	271	3	,	,	PUNCT
ejpam-5784	271	4	5	5	NUM
ejpam-5784	271	5	]	]	PUNCT
ejpam-5784	271	6	and	and	CCONJ
ejpam-5784	271	7	τ	τ	PROPN
ejpam-5784	271	8	∈	∈	PROPN
ejpam-5784	272	1	[	[	X
ejpam-5784	272	2	0	0	NUM
ejpam-5784	272	3	,	,	PUNCT
ejpam-5784	272	4	0.1	0.1	NUM
ejpam-5784	272	5	]	]	PUNCT
ejpam-5784	272	6	.	.	PUNCT
ejpam-5784	273	1	[	[	X
ejpam-5784	273	2	ρ	ρ	X
ejpam-5784	273	3	=	=	SYM
ejpam-5784	273	4	1	1	NUM
ejpam-5784	273	5	]	]	PUNCT
ejpam-5784	274	1	[	[	X
ejpam-5784	274	2	ρ	ρ	X
ejpam-5784	274	3	=	=	SYM
ejpam-5784	274	4	0.9	0.9	NUM
ejpam-5784	274	5	]	]	PUNCT
ejpam-5784	275	1	[	[	X
ejpam-5784	275	2	ρ	ρ	X
ejpam-5784	275	3	=	=	SYM
ejpam-5784	275	4	0.7	0.7	NUM
ejpam-5784	275	5	]	]	PUNCT
ejpam-5784	276	1	[	[	X
ejpam-5784	276	2	ρ	ρ	X
ejpam-5784	276	3	=	=	SYM
ejpam-5784	276	4	0.5	0.5	NUM
ejpam-5784	276	5	]	]	PUNCT
ejpam-5784	276	6	figure	figure	NOUN
ejpam-5784	276	7	3	3	NUM
ejpam-5784	276	8	:	:	PUNCT
ejpam-5784	276	9	surface	surface	NOUN
ejpam-5784	276	10	plots	plot	NOUN
ejpam-5784	276	11	of	of	ADP
ejpam-5784	276	12	the	the	DET
ejpam-5784	276	13	obtained	obtain	VERB
ejpam-5784	276	14	solutions	solution	NOUN
ejpam-5784	276	15	φ4	φ4	PROPN
ejpam-5784	276	16	(	(	PUNCT
ejpam-5784	276	17	ς	ς	PROPN
ejpam-5784	276	18	,	,	PUNCT
ejpam-5784	276	19	τ	τ	PROPN
ejpam-5784	276	20	)	)	PUNCT
ejpam-5784	276	21	and	and	CCONJ
ejpam-5784	276	22	ψ4	ψ4	PROPN
ejpam-5784	276	23	(	(	PUNCT
ejpam-5784	276	24	ς	ς	PROPN
ejpam-5784	276	25	,	,	PUNCT
ejpam-5784	276	26	τ	τ	PROPN
ejpam-5784	276	27	)	)	PUNCT
ejpam-5784	276	28	for	for	ADP
ejpam-5784	276	29	the	the	DET
ejpam-5784	276	30	time	time	NOUN
ejpam-5784	276	31	-	-	PUNCT
ejpam-5784	276	32	fractional	fractional	ADJ
ejpam-5784	276	33	ds	ds	NOUN
ejpam-5784	276	34	-	-	PUNCT
ejpam-5784	276	35	we	we	PRON
ejpam-5784	276	36	(	(	PUNCT
ejpam-5784	276	37	1	1	X
ejpam-5784	276	38	)	)	PUNCT
ejpam-5784	276	39	at	at	ADP
ejpam-5784	276	40	various	various	ADJ
ejpam-5784	276	41	values	value	NOUN
ejpam-5784	276	42	of	of	ADP
ejpam-5784	276	43	ρ	ρ	PROPN
ejpam-5784	276	44	.	.	PUNCT
ejpam-5784	277	1	for	for	ADP
ejpam-5784	277	2	integer	integer	NOUN
ejpam-5784	277	3	case	case	NOUN
ejpam-5784	277	4	ρ	ρ	X
ejpam-5784	277	5	=	=	SYM
ejpam-5784	277	6	1	1	NUM
ejpam-5784	277	7	,	,	PUNCT
ejpam-5784	277	8	the	the	DET
ejpam-5784	277	9	exact	exact	ADJ
ejpam-5784	277	10	solutions	solution	NOUN
ejpam-5784	277	11	of	of	ADP
ejpam-5784	277	12	(	(	PUNCT
ejpam-5784	277	13	2	2	NUM
ejpam-5784	277	14	)	)	PUNCT
ejpam-5784	277	15	and	and	CCONJ
ejpam-5784	277	16	(	(	PUNCT
ejpam-5784	277	17	26	26	NUM
ejpam-5784	277	18	)	)	PUNCT
ejpam-5784	277	19	are	be	AUX
ejpam-5784	277	20	φ	φ	PROPN
ejpam-5784	277	21	(	(	PUNCT
ejpam-5784	277	22	ς	ς	PROPN
ejpam-5784	277	23	,	,	PUNCT
ejpam-5784	277	24	τ	τ	NOUN
ejpam-5784	277	25	)	)	PUNCT
ejpam-5784	277	26	=	=	SYM
ejpam-5784	277	27	sin(ς	sin(ς	NOUN
ejpam-5784	277	28	)	)	PUNCT
ejpam-5784	277	29	e−τ	e−τ	NOUN
ejpam-5784	277	30	.	.	PUNCT
ejpam-5784	278	1	considering	consider	VERB
ejpam-5784	278	2	the	the	DET
ejpam-5784	278	3	lt	lt	PROPN
ejpam-5784	278	4	-	-	PUNCT
ejpam-5784	278	5	rfps	rfps	PROPN
ejpam-5784	278	6	layout	layout	NOUN
ejpam-5784	278	7	that	that	PRON
ejpam-5784	278	8	was	be	AUX
ejpam-5784	278	9	discussed	discuss	VERB
ejpam-5784	278	10	in	in	ADP
ejpam-5784	278	11	the	the	DET
ejpam-5784	278	12	earlier	early	ADJ
ejpam-5784	278	13	application	application	NOUN
ejpam-5784	278	14	.	.	PUNCT
ejpam-5784	279	1	the	the	DET
ejpam-5784	279	2	governing	govern	VERB
ejpam-5784	279	3	model	model	NOUN
ejpam-5784	279	4	can	can	AUX
ejpam-5784	279	5	be	be	AUX
ejpam-5784	279	6	solved	solve	VERB
ejpam-5784	279	7	directly	directly	ADV
ejpam-5784	279	8	without	without	ADP
ejpam-5784	279	9	the	the	DET
ejpam-5784	279	10	requirement	requirement	NOUN
ejpam-5784	279	11	for	for	ADP
ejpam-5784	279	12	any	any	DET
ejpam-5784	279	13	worthy	worthy	ADJ
ejpam-5784	279	14	restrictions	restriction	NOUN
ejpam-5784	279	15	on	on	ADP
ejpam-5784	279	16	the	the	DET
ejpam-5784	279	17	model	model	NOUN
ejpam-5784	279	18	’s	’s	PART
ejpam-5784	279	19	structure	structure	NOUN
ejpam-5784	279	20	.	.	PUNCT
ejpam-5784	280	1	consequently	consequently	ADV
ejpam-5784	280	2	,	,	PUNCT
ejpam-5784	280	3	the	the	DET
ejpam-5784	280	4	jth	jth	PROPN
ejpam-5784	280	5	-	-	PUNCT
ejpam-5784	280	6	l	l	NOUN
ejpam-5784	280	7	-	-	PUNCT
ejpam-5784	280	8	fre	fre	ADJ
ejpam-5784	280	9	functions	function	NOUN
ejpam-5784	280	10	of	of	ADP
ejpam-5784	280	11	the	the	DET
ejpam-5784	280	12	converted	convert	VERB
ejpam-5784	280	13	coupled	couple	VERB
ejpam-5784	280	14	cvbe	cvbe	NOUN
ejpam-5784	280	15	system	system	NOUN
ejpam-5784	280	16	(	(	PUNCT
ejpam-5784	280	17	2	2	NUM
ejpam-5784	280	18	)	)	PUNCT
ejpam-5784	280	19	into	into	ADP
ejpam-5784	280	20	laplace	laplace	NOUN
ejpam-5784	280	21	space	space	NOUN
ejpam-5784	280	22	will	will	AUX
ejpam-5784	280	23	be	be	AUX
ejpam-5784	280	24	identified	identify	VERB
ejpam-5784	280	25	as	as	ADP
ejpam-5784	280	26	follows	follow	VERB
ejpam-5784	280	27	:	:	PUNCT
ejpam-5784	280	28	m.	m.	NOUN
ejpam-5784	280	29	alaroud	alaroud	PROPN
ejpam-5784	280	30	,	,	PUNCT
ejpam-5784	280	31	f.	f.	PROPN
ejpam-5784	280	32	aldosari	aldosari	PROPN
ejpam-5784	280	33	/	/	SYM
ejpam-5784	280	34	eur	eur	PROPN
ejpam-5784	280	35	.	.	PUNCT
ejpam-5784	281	1	j.	j.	PROPN
ejpam-5784	281	2	pure	pure	PROPN
ejpam-5784	281	3	appl	appl	PROPN
ejpam-5784	281	4	.	.	PROPN
ejpam-5784	281	5	math	math	PROPN
ejpam-5784	281	6	,	,	PUNCT
ejpam-5784	281	7	18	18	NUM
ejpam-5784	281	8	(	(	PUNCT
ejpam-5784	281	9	1	1	NUM
ejpam-5784	281	10	)	)	PUNCT
ejpam-5784	281	11	(	(	PUNCT
ejpam-5784	281	12	2025	2025	NUM
ejpam-5784	281	13	)	)	PUNCT
ejpam-5784	281	14	,	,	PUNCT
ejpam-5784	281	15	5784	5784	NUM
ejpam-5784	281	16	16	16	NUM
ejpam-5784	281	17	of	of	ADP
ejpam-5784	281	18	25	25	NUM
ejpam-5784	281	19	lρ	lρ	NOUN
ejpam-5784	281	20	(	(	PUNCT
ejpam-5784	281	21	resφj	resφj	NOUN
ejpam-5784	281	22	(	(	PUNCT
ejpam-5784	281	23	ς	ς	PROPN
ejpam-5784	281	24	,	,	PUNCT
ejpam-5784	281	25	ξ	ξ	NOUN
ejpam-5784	281	26	)	)	PUNCT
ejpam-5784	281	27	)	)	PUNCT
ejpam-5784	282	1	=	=	PUNCT
ejpam-5784	282	2	φj(ς	φj(ς	NOUN
ejpam-5784	282	3	,	,	PUNCT
ejpam-5784	282	4	ξ)−	ξ)−	PROPN
ejpam-5784	282	5	φ(ς	φ(ς	PROPN
ejpam-5784	282	6	)	)	PUNCT
ejpam-5784	282	7	ξ	ξ	PROPN
ejpam-5784	282	8	−	−	PROPN
ejpam-5784	282	9	1	1	NUM
ejpam-5784	282	10	ξρ	ξρ	PROPN
ejpam-5784	282	11	∂ςςφj(ς	∂ςςφj(ς	PROPN
ejpam-5784	282	12	,	,	PUNCT
ejpam-5784	282	13	ξ	ξ	NOUN
ejpam-5784	282	14	)	)	PUNCT
ejpam-5784	282	15	−	−	PROPN
ejpam-5784	282	16	ω	ω	NUM
ejpam-5784	282	17	ξρ	ξρ	NOUN
ejpam-5784	283	1	lρ	lρ	X
ejpam-5784	283	2	(	(	PUNCT
ejpam-5784	283	3	l−1	l−1	PROPN
ejpam-5784	283	4	ρ	ρ	PROPN
ejpam-5784	283	5	{	{	PUNCT
ejpam-5784	283	6	φj}l−1	φj}l−1	PROPN
ejpam-5784	283	7	ρ	ρ	PROPN
ejpam-5784	283	8	{	{	PUNCT
ejpam-5784	283	9	∂ςφj	∂ςφj	NOUN
ejpam-5784	283	10	}	}	PUNCT
ejpam-5784	283	11	)	)	PUNCT
ejpam-5784	284	1	+	+	CCONJ
ejpam-5784	284	2	q	q	PUNCT
ejpam-5784	284	3	ξρ	ξρ	X
ejpam-5784	284	4	(	(	PUNCT
ejpam-5784	284	5	lρ	lρ	X
ejpam-5784	284	6	(	(	PUNCT
ejpam-5784	284	7	l−1	l−1	PROPN
ejpam-5784	284	8	ρ	ρ	PROPN
ejpam-5784	284	9	{	{	PUNCT
ejpam-5784	284	10	φj}l−1	φj}l−1	PROPN
ejpam-5784	284	11	ρ	ρ	PROPN
ejpam-5784	284	12	{	{	PUNCT
ejpam-5784	284	13	∂ςψj	∂ςψj	NOUN
ejpam-5784	284	14	}	}	PUNCT
ejpam-5784	284	15	)	)	PUNCT
ejpam-5784	285	1	+	+	X
ejpam-5784	285	2	lρ	lρ	X
ejpam-5784	285	3	(	(	PUNCT
ejpam-5784	285	4	l−1	l−1	PROPN
ejpam-5784	285	5	ρ	ρ	PROPN
ejpam-5784	285	6	{	{	PUNCT
ejpam-5784	285	7	ψj}l−1	ψj}l−1	PROPN
ejpam-5784	285	8	ρ	ρ	X
ejpam-5784	285	9	{	{	PUNCT
ejpam-5784	285	10	∂ςφj	∂ςφj	NOUN
ejpam-5784	285	11	}	}	PUNCT
ejpam-5784	285	12	)	)	PUNCT
ejpam-5784	285	13	)	)	PUNCT
ejpam-5784	285	14	,	,	PUNCT
ejpam-5784	285	15	lρ	lρ	X
ejpam-5784	285	16	(	(	PUNCT
ejpam-5784	285	17	resψj	resψj	NOUN
ejpam-5784	285	18	(	(	PUNCT
ejpam-5784	285	19	ς	ς	PROPN
ejpam-5784	285	20	,	,	PUNCT
ejpam-5784	285	21	ξ	ξ	NOUN
ejpam-5784	285	22	)	)	PUNCT
ejpam-5784	285	23	)	)	PUNCT
ejpam-5784	285	24	=	=	SYM
ejpam-5784	285	25	ψj(ς	ψj(ς	NOUN
ejpam-5784	285	26	,	,	PUNCT
ejpam-5784	285	27	ξ)−	ξ)−	PROPN
ejpam-5784	285	28	ψ(ς	ψ(ς	PROPN
ejpam-5784	285	29	)	)	PUNCT
ejpam-5784	286	1	ξ	ξ	X
ejpam-5784	286	2	−	−	PROPN
ejpam-5784	286	3	1	1	NUM
ejpam-5784	286	4	ξρ	ξρ	NOUN
ejpam-5784	286	5	∂ςςψj(ς	∂ςςψj(ς	PROPN
ejpam-5784	286	6	,	,	PUNCT
ejpam-5784	286	7	ξ	ξ	NOUN
ejpam-5784	286	8	)	)	PUNCT
ejpam-5784	286	9	−	−	PROPN
ejpam-5784	286	10	γ	γ	X
ejpam-5784	286	11	ξρ	ξρ	X
ejpam-5784	286	12	lρ	lρ	ADP
ejpam-5784	286	13	(	(	PUNCT
ejpam-5784	286	14	l−1	l−1	PROPN
ejpam-5784	286	15	ρ	ρ	PROPN
ejpam-5784	286	16	{	{	PUNCT
ejpam-5784	286	17	ψj}l−1	ψj}l−1	PROPN
ejpam-5784	286	18	ρ	ρ	X
ejpam-5784	286	19	{	{	PUNCT
ejpam-5784	286	20	∂ςψj	∂ςψj	NOUN
ejpam-5784	286	21	}	}	PUNCT
ejpam-5784	286	22	)	)	PUNCT
ejpam-5784	287	1	+	+	CCONJ
ejpam-5784	287	2	ϑ	ϑ	X
ejpam-5784	287	3	ξρ	ξρ	X
ejpam-5784	287	4	(	(	PUNCT
ejpam-5784	287	5	lρ	lρ	X
ejpam-5784	287	6	(	(	PUNCT
ejpam-5784	287	7	l−1	l−1	PROPN
ejpam-5784	287	8	ρ	ρ	PROPN
ejpam-5784	287	9	{	{	PUNCT
ejpam-5784	287	10	φj}l−1	φj}l−1	PROPN
ejpam-5784	287	11	ρ	ρ	PROPN
ejpam-5784	287	12	{	{	PUNCT
ejpam-5784	287	13	∂ςψj	∂ςψj	NOUN
ejpam-5784	287	14	}	}	PUNCT
ejpam-5784	287	15	)	)	PUNCT
ejpam-5784	288	1	+	+	X
ejpam-5784	288	2	lρ	lρ	X
ejpam-5784	288	3	(	(	PUNCT
ejpam-5784	288	4	l−1	l−1	PROPN
ejpam-5784	288	5	ρ	ρ	PROPN
ejpam-5784	288	6	{	{	PUNCT
ejpam-5784	288	7	ψj}l−1	ψj}l−1	PROPN
ejpam-5784	288	8	ρ	ρ	X
ejpam-5784	288	9	{	{	PUNCT
ejpam-5784	288	10	∂ςφj	∂ςφj	NOUN
ejpam-5784	288	11	}	}	PUNCT
ejpam-5784	288	12	)	)	PUNCT
ejpam-5784	288	13	)	)	PUNCT
ejpam-5784	288	14	.	.	PUNCT
ejpam-5784	289	1	(	(	PUNCT
ejpam-5784	289	2	27	27	NUM
ejpam-5784	289	3	)	)	PUNCT
ejpam-5784	289	4	where	where	SCONJ
ejpam-5784	289	5	the	the	DET
ejpam-5784	289	6	the	the	DET
ejpam-5784	289	7	j	j	PROPN
ejpam-5784	289	8	-	-	PUNCT
ejpam-5784	289	9	th	th	VERB
ejpam-5784	289	10	truncation	truncation	NOUN
ejpam-5784	289	11	φj(ς	φj(ς	NOUN
ejpam-5784	289	12	,	,	PUNCT
ejpam-5784	289	13	ξ	ξ	NOUN
ejpam-5784	289	14	)	)	PUNCT
ejpam-5784	289	15	,	,	PUNCT
ejpam-5784	289	16	and	and	CCONJ
ejpam-5784	289	17	ψj	ψj	ADV
ejpam-5784	289	18	(	(	PUNCT
ejpam-5784	289	19	ς	ς	PROPN
ejpam-5784	289	20	,	,	PUNCT
ejpam-5784	289	21	ξ	ξ	X
ejpam-5784	289	22	)	)	PUNCT
ejpam-5784	289	23	are	be	AUX
ejpam-5784	289	24	provided	provide	VERB
ejpam-5784	289	25	in	in	ADP
ejpam-5784	289	26	(	(	PUNCT
ejpam-5784	289	27	13	13	NUM
ejpam-5784	289	28	)	)	PUNCT
ejpam-5784	289	29	.	.	PUNCT
ejpam-5784	290	1	after	after	SCONJ
ejpam-5784	290	2	recall	recall	VERB
ejpam-5784	290	3	these	these	DET
ejpam-5784	290	4	j	j	PROPN
ejpam-5784	290	5	-	-	PUNCT
ejpam-5784	290	6	th	th	X
ejpam-5784	290	7	lfps	lfps	NOUN
ejpam-5784	290	8	expansions	expansion	NOUN
ejpam-5784	290	9	into	into	ADP
ejpam-5784	290	10	the	the	DET
ejpam-5784	290	11	jth	jth	PROPN
ejpam-5784	290	12	-	-	PUNCT
ejpam-5784	290	13	truncation	truncation	NOUN
ejpam-5784	290	14	l	l	ADJ
ejpam-5784	290	15	-	-	PUNCT
ejpam-5784	290	16	fre	fre	ADJ
ejpam-5784	290	17	functions	function	NOUN
ejpam-5784	290	18	in	in	ADP
ejpam-5784	290	19	(	(	PUNCT
ejpam-5784	290	20	27	27	NUM
ejpam-5784	290	21	)	)	PUNCT
ejpam-5784	290	22	,	,	PUNCT
ejpam-5784	290	23	and	and	CCONJ
ejpam-5784	290	24	then	then	ADV
ejpam-5784	290	25	multiply	multiply	VERB
ejpam-5784	290	26	the	the	DET
ejpam-5784	290	27	resultant	resultant	NOUN
ejpam-5784	290	28	equations	equation	NOUN
ejpam-5784	290	29	by	by	ADP
ejpam-5784	290	30	the	the	DET
ejpam-5784	290	31	factor	factor	NOUN
ejpam-5784	290	32	ξjρ+1	ξjρ+1	PROPN
ejpam-5784	290	33	,	,	PUNCT
ejpam-5784	290	34	and	and	CCONJ
ejpam-5784	290	35	solving	solve	VERB
ejpam-5784	290	36	them	they	PRON
ejpam-5784	290	37	for	for	ADP
ejpam-5784	290	38	the	the	DET
ejpam-5784	290	39	unknown	unknown	ADJ
ejpam-5784	290	40	functions	function	NOUN
ejpam-5784	290	41	φj	φj	X
ejpam-5784	290	42	(	(	PUNCT
ejpam-5784	290	43	ς	ς	PROPN
ejpam-5784	290	44	)	)	PUNCT
ejpam-5784	290	45	,	,	PUNCT
ejpam-5784	290	46	and	and	CCONJ
ejpam-5784	290	47	ψj	ψj	ADV
ejpam-5784	290	48	(	(	PUNCT
ejpam-5784	290	49	ς	ς	NOUN
ejpam-5784	290	50	)	)	PUNCT
ejpam-5784	290	51	one	one	PRON
ejpam-5784	290	52	can	can	AUX
ejpam-5784	290	53	reach	reach	VERB
ejpam-5784	290	54	to	to	ADP
ejpam-5784	290	55	the	the	DET
ejpam-5784	290	56	following	follow	VERB
ejpam-5784	290	57	reccurence	reccurence	NOUN
ejpam-5784	290	58	relations	relation	NOUN
ejpam-5784	290	59	:	:	PUNCT
ejpam-5784	290	60	φj(ς	φj(ς	X
ejpam-5784	290	61	)	)	PUNCT
ejpam-5784	291	1	=	=	SYM
ejpam-5784	291	2	φ′′	φ′′	PROPN
ejpam-5784	291	3	j−1(ς)−	j−1(ς)−	NOUN
ejpam-5784	291	4	q	q	PROPN
ejpam-5784	291	5	γ	γ	X
ejpam-5784	291	6	(	(	PUNCT
ejpam-5784	291	7	(	(	PUNCT
ejpam-5784	291	8	j	j	PROPN
ejpam-5784	291	9	−	−	NOUN
ejpam-5784	291	10	1)ρ+	1)ρ+	NUM
ejpam-5784	291	11	1	1	NUM
ejpam-5784	291	12	)	)	PUNCT
ejpam-5784	291	13	j−1∑	j−1∑	NOUN
ejpam-5784	291	14	i=0	i=0	PROPN
ejpam-5784	291	15	ψi(ς)φ	ψi(ς)φ	PROPN
ejpam-5784	291	16	′	′	NUM
ejpam-5784	291	17	−i+j−1(ς	−i+j−1(ς	NUM
ejpam-5784	291	18	)	)	PUNCT
ejpam-5784	291	19	γ	γ	PROPN
ejpam-5784	291	20	(	(	PUNCT
ejpam-5784	291	21	iρ+	iρ+	PROPN
ejpam-5784	291	22	1)γ	1)γ	PROPN
ejpam-5784	291	23	(	(	PUNCT
ejpam-5784	291	24	(	(	PUNCT
ejpam-5784	291	25	−i+	−i+	X
ejpam-5784	291	26	j	j	PROPN
ejpam-5784	291	27	−	−	PROPN
ejpam-5784	291	28	1)ρ+	1)ρ+	NUM
ejpam-5784	291	29	1	1	NUM
ejpam-5784	291	30	)	)	PUNCT
ejpam-5784	291	31	−	−	PROPN
ejpam-5784	291	32	q	q	PROPN
ejpam-5784	291	33	γ	γ	X
ejpam-5784	291	34	(	(	PUNCT
ejpam-5784	291	35	(	(	PUNCT
ejpam-5784	291	36	j	j	PROPN
ejpam-5784	291	37	−	−	NOUN
ejpam-5784	291	38	1)ρ+	1)ρ+	NUM
ejpam-5784	291	39	1	1	NUM
ejpam-5784	291	40	)	)	PUNCT
ejpam-5784	291	41	j−1∑	j−1∑	NOUN
ejpam-5784	291	42	i=0	i=0	PROPN
ejpam-5784	291	43	φi(ς)ψ	φi(ς)ψ	PROPN
ejpam-5784	291	44	′	′	NUM
ejpam-5784	291	45	−i+j−1(ς	−i+j−1(ς	NUM
ejpam-5784	291	46	)	)	PUNCT
ejpam-5784	291	47	γ	γ	PROPN
ejpam-5784	291	48	(	(	PUNCT
ejpam-5784	291	49	iρ+	iρ+	PROPN
ejpam-5784	291	50	1)γ	1)γ	PROPN
ejpam-5784	291	51	(	(	PUNCT
ejpam-5784	291	52	(	(	PUNCT
ejpam-5784	291	53	−i+	−i+	X
ejpam-5784	291	54	j	j	PROPN
ejpam-5784	291	55	−	−	PROPN
ejpam-5784	292	1	1)ρ+	1)ρ+	NUM
ejpam-5784	292	2	1	1	NUM
ejpam-5784	292	3	)	)	PUNCT
ejpam-5784	292	4	+	+	CCONJ
ejpam-5784	292	5	ω	ω	NUM
ejpam-5784	292	6	γ	γ	X
ejpam-5784	292	7	(	(	PUNCT
ejpam-5784	292	8	(	(	PUNCT
ejpam-5784	292	9	j	j	PROPN
ejpam-5784	292	10	−	−	NOUN
ejpam-5784	292	11	1)ρ+	1)ρ+	NUM
ejpam-5784	292	12	1	1	NUM
ejpam-5784	292	13	)	)	PUNCT
ejpam-5784	292	14	j−1∑	j−1∑	NOUN
ejpam-5784	292	15	i=0	i=0	PROPN
ejpam-5784	292	16	φi(ς)φ	φi(ς)φ	NUM
ejpam-5784	292	17	′	′	NUM
ejpam-5784	292	18	−i+j−1(ς	−i+j−1(ς	PROPN
ejpam-5784	292	19	)	)	PUNCT
ejpam-5784	292	20	γ	γ	PROPN
ejpam-5784	292	21	(	(	PUNCT
ejpam-5784	292	22	iρ+	iρ+	PROPN
ejpam-5784	292	23	1)γ	1)γ	PROPN
ejpam-5784	292	24	(	(	PUNCT
ejpam-5784	292	25	(	(	PUNCT
ejpam-5784	292	26	−i+	−i+	X
ejpam-5784	292	27	j	j	PROPN
ejpam-5784	292	28	−	−	PROPN
ejpam-5784	292	29	1)ρ+	1)ρ+	NUM
ejpam-5784	292	30	1	1	NUM
ejpam-5784	292	31	)	)	PUNCT
ejpam-5784	292	32	,	,	PUNCT
ejpam-5784	292	33	ψj(ς	ψj(ς	NUM
ejpam-5784	292	34	)	)	PUNCT
ejpam-5784	292	35	=	=	SYM
ejpam-5784	292	36	ψ′′	ψ′′	PROPN
ejpam-5784	292	37	j−1(ς)−	j−1(ς)−	NOUN
ejpam-5784	292	38	ϑγ	ϑγ	NOUN
ejpam-5784	292	39	(	(	PUNCT
ejpam-5784	292	40	(	(	PUNCT
ejpam-5784	292	41	j	j	PROPN
ejpam-5784	292	42	−	−	NOUN
ejpam-5784	293	1	1)ρ+	1)ρ+	NUM
ejpam-5784	293	2	1	1	NUM
ejpam-5784	293	3	)	)	PUNCT
ejpam-5784	293	4	j−1∑	j−1∑	NOUN
ejpam-5784	293	5	i=0	i=0	PROPN
ejpam-5784	293	6	ψi(ς)φ	ψi(ς)φ	PROPN
ejpam-5784	293	7	′	′	NUM
ejpam-5784	293	8	−i+j−1(ς	−i+j−1(ς	NUM
ejpam-5784	293	9	)	)	PUNCT
ejpam-5784	293	10	γ	γ	PROPN
ejpam-5784	293	11	(	(	PUNCT
ejpam-5784	293	12	iρ+	iρ+	PROPN
ejpam-5784	293	13	1)γ	1)γ	PROPN
ejpam-5784	293	14	(	(	PUNCT
ejpam-5784	293	15	(	(	PUNCT
ejpam-5784	293	16	−i+	−i+	X
ejpam-5784	293	17	j	j	PROPN
ejpam-5784	293	18	−	−	PROPN
ejpam-5784	293	19	1)ρ+	1)ρ+	NUM
ejpam-5784	293	20	1	1	NUM
ejpam-5784	293	21	)	)	PUNCT
ejpam-5784	293	22	−	−	NOUN
ejpam-5784	293	23	ϑγ	ϑγ	NOUN
ejpam-5784	293	24	(	(	PUNCT
ejpam-5784	293	25	(	(	PUNCT
ejpam-5784	293	26	j	j	PROPN
ejpam-5784	293	27	−	−	NOUN
ejpam-5784	294	1	1)ρ+	1)ρ+	NUM
ejpam-5784	294	2	1	1	NUM
ejpam-5784	294	3	)	)	PUNCT
ejpam-5784	294	4	j−1∑	j−1∑	NOUN
ejpam-5784	294	5	i=0	i=0	PROPN
ejpam-5784	294	6	φi(ς)ψ	φi(ς)ψ	PROPN
ejpam-5784	294	7	′	′	NUM
ejpam-5784	294	8	−i+j−1(ς	−i+j−1(ς	NUM
ejpam-5784	294	9	)	)	PUNCT
ejpam-5784	294	10	γ	γ	PROPN
ejpam-5784	294	11	(	(	PUNCT
ejpam-5784	294	12	iρ+	iρ+	PROPN
ejpam-5784	294	13	1)γ	1)γ	PROPN
ejpam-5784	294	14	(	(	PUNCT
ejpam-5784	294	15	(	(	PUNCT
ejpam-5784	294	16	−i+	−i+	X
ejpam-5784	294	17	j	j	PROPN
ejpam-5784	294	18	−	−	PROPN
ejpam-5784	295	1	1)ρ+	1)ρ+	NUM
ejpam-5784	295	2	1	1	NUM
ejpam-5784	295	3	)	)	PUNCT
ejpam-5784	295	4	+	+	CCONJ
ejpam-5784	295	5	γ	γ	PROPN
ejpam-5784	295	6	γ	γ	X
ejpam-5784	295	7	(	(	PUNCT
ejpam-5784	295	8	(	(	PUNCT
ejpam-5784	295	9	j	j	PROPN
ejpam-5784	295	10	−	−	NOUN
ejpam-5784	295	11	1)ρ+	1)ρ+	NUM
ejpam-5784	295	12	1	1	NUM
ejpam-5784	295	13	)	)	PUNCT
ejpam-5784	295	14	j−1∑	j−1∑	NOUN
ejpam-5784	295	15	i=0	i=0	PROPN
ejpam-5784	295	16	ψi(ς)ψ	ψi(ς)ψ	PROPN
ejpam-5784	295	17	′	′	NUM
ejpam-5784	295	18	−i+j−1(ς	−i+j−1(ς	NUM
ejpam-5784	295	19	)	)	PUNCT
ejpam-5784	295	20	γ	γ	PROPN
ejpam-5784	295	21	(	(	PUNCT
ejpam-5784	295	22	iρ+	iρ+	PROPN
ejpam-5784	295	23	1)γ	1)γ	PROPN
ejpam-5784	295	24	(	(	PUNCT
ejpam-5784	295	25	(	(	PUNCT
ejpam-5784	295	26	−i+	−i+	X
ejpam-5784	295	27	j	j	PROPN
ejpam-5784	295	28	−	−	PROPN
ejpam-5784	295	29	1)ρ+	1)ρ+	NUM
ejpam-5784	295	30	1	1	NUM
ejpam-5784	295	31	)	)	PUNCT
ejpam-5784	295	32	.	.	PUNCT
ejpam-5784	296	1	(	(	PUNCT
ejpam-5784	296	2	28	28	NUM
ejpam-5784	296	3	)	)	PUNCT
ejpam-5784	296	4	corollary	corollary	ADJ
ejpam-5784	296	5	2	2	NUM
ejpam-5784	296	6	.	.	PUNCT
ejpam-5784	297	1	for	for	ADP
ejpam-5784	297	2	ρ	ρ	PROPN
ejpam-5784	297	3	∈	∈	PROPN
ejpam-5784	297	4	(	(	PUNCT
ejpam-5784	297	5	0	0	NUM
ejpam-5784	297	6	,	,	PUNCT
ejpam-5784	297	7	1	1	NUM
ejpam-5784	297	8	]	]	PUNCT
ejpam-5784	297	9	,	,	PUNCT
ejpam-5784	297	10	the	the	DET
ejpam-5784	297	11	analytical	analytical	ADJ
ejpam-5784	297	12	-	-	PUNCT
ejpam-5784	297	13	approximated	approximate	VERB
ejpam-5784	297	14	series	series	NOUN
ejpam-5784	297	15	solutions	solution	NOUN
ejpam-5784	297	16	of	of	ADP
ejpam-5784	297	17	the	the	DET
ejpam-5784	297	18	non	non	ADJ
ejpam-5784	297	19	-	-	ADJ
ejpam-5784	297	20	linear	linear	ADJ
ejpam-5784	297	21	caputo	caputo	PROPN
ejpam-5784	297	22	time	time	NOUN
ejpam-5784	297	23	-	-	PUNCT
ejpam-5784	297	24	fractional	fractional	ADJ
ejpam-5784	297	25	order	order	NOUN
ejpam-5784	297	26	coupled	couple	VERB
ejpam-5784	297	27	cvbe	cvbe	NOUN
ejpam-5784	297	28	system	system	NOUN
ejpam-5784	297	29	(	(	PUNCT
ejpam-5784	297	30	2	2	NUM
ejpam-5784	297	31	)	)	PUNCT
ejpam-5784	297	32	and	and	CCONJ
ejpam-5784	297	33	(	(	PUNCT
ejpam-5784	297	34	3	3	X
ejpam-5784	297	35	)	)	PUNCT
ejpam-5784	297	36	can	can	AUX
ejpam-5784	297	37	be	be	AUX
ejpam-5784	297	38	expressed	express	VERB
ejpam-5784	297	39	as	as	SCONJ
ejpam-5784	297	40	follows	follow	VERB
ejpam-5784	297	41	:	:	PUNCT
ejpam-5784	298	1	φ(ς	φ(ς	ADJ
ejpam-5784	298	2	,	,	PUNCT
ejpam-5784	298	3	τ	τ	X
ejpam-5784	298	4	)	)	PUNCT
ejpam-5784	298	5	=	=	SYM
ejpam-5784	298	6	φ(ς	φ(ς	ADJ
ejpam-5784	298	7	)	)	PUNCT
ejpam-5784	298	8	+	+	CCONJ
ejpam-5784	298	9	∞∑	∞∑	NUM
ejpam-5784	298	10	j=1	j=1	NOUN
ejpam-5784	298	11	[	[	PUNCT
ejpam-5784	298	12	φ′′	φ′′	PROPN
ejpam-5784	298	13	j−1(ς)−	j−1(ς)−	NOUN
ejpam-5784	298	14	q	q	PROPN
ejpam-5784	298	15	γ	γ	X
ejpam-5784	298	16	(	(	PUNCT
ejpam-5784	298	17	(	(	PUNCT
ejpam-5784	298	18	j	j	PROPN
ejpam-5784	298	19	−	−	NOUN
ejpam-5784	298	20	1)ρ+	1)ρ+	NUM
ejpam-5784	298	21	1	1	NUM
ejpam-5784	298	22	)	)	PUNCT
ejpam-5784	298	23	j−1∑	j−1∑	NOUN
ejpam-5784	298	24	i=0	i=0	PROPN
ejpam-5784	298	25	ψi(ς)φ	ψi(ς)φ	PROPN
ejpam-5784	298	26	′	′	NUM
ejpam-5784	298	27	−i+j−1(ς	−i+j−1(ς	NUM
ejpam-5784	298	28	)	)	PUNCT
ejpam-5784	298	29	γ	γ	PROPN
ejpam-5784	298	30	(	(	PUNCT
ejpam-5784	298	31	iρ+	iρ+	PROPN
ejpam-5784	298	32	1)γ	1)γ	PROPN
ejpam-5784	298	33	(	(	PUNCT
ejpam-5784	298	34	(	(	PUNCT
ejpam-5784	298	35	−i+	−i+	X
ejpam-5784	298	36	j	j	PROPN
ejpam-5784	298	37	−	−	PROPN
ejpam-5784	298	38	1)ρ+	1)ρ+	NUM
ejpam-5784	298	39	1	1	NUM
ejpam-5784	298	40	)	)	PUNCT
ejpam-5784	298	41	m.	m.	NOUN
ejpam-5784	298	42	alaroud	alaroud	PROPN
ejpam-5784	298	43	,	,	PUNCT
ejpam-5784	298	44	f.	f.	PROPN
ejpam-5784	298	45	aldosari	aldosari	PROPN
ejpam-5784	298	46	/	/	SYM
ejpam-5784	298	47	eur	eur	PROPN
ejpam-5784	298	48	.	.	PUNCT
ejpam-5784	299	1	j.	j.	PROPN
ejpam-5784	299	2	pure	pure	PROPN
ejpam-5784	299	3	appl	appl	PROPN
ejpam-5784	299	4	.	.	PROPN
ejpam-5784	299	5	math	math	PROPN
ejpam-5784	299	6	,	,	PUNCT
ejpam-5784	299	7	18	18	NUM
ejpam-5784	299	8	(	(	PUNCT
ejpam-5784	299	9	1	1	NUM
ejpam-5784	299	10	)	)	PUNCT
ejpam-5784	299	11	(	(	PUNCT
ejpam-5784	299	12	2025	2025	NUM
ejpam-5784	299	13	)	)	PUNCT
ejpam-5784	299	14	,	,	PUNCT
ejpam-5784	299	15	5784	5784	NUM
ejpam-5784	299	16	17	17	NUM
ejpam-5784	299	17	of	of	ADP
ejpam-5784	299	18	25	25	NUM
ejpam-5784	299	19	−	−	PROPN
ejpam-5784	299	20	q	q	NOUN
ejpam-5784	299	21	γ	γ	X
ejpam-5784	299	22	(	(	PUNCT
ejpam-5784	299	23	(	(	PUNCT
ejpam-5784	299	24	j	j	PROPN
ejpam-5784	299	25	−	−	NOUN
ejpam-5784	299	26	1)ρ+	1)ρ+	NUM
ejpam-5784	299	27	1	1	NUM
ejpam-5784	299	28	)	)	PUNCT
ejpam-5784	299	29	j−1∑	j−1∑	NOUN
ejpam-5784	299	30	i=0	i=0	PROPN
ejpam-5784	299	31	φi(ς)ψ	φi(ς)ψ	PROPN
ejpam-5784	299	32	′	′	NUM
ejpam-5784	299	33	−i+j−1(ς	−i+j−1(ς	NUM
ejpam-5784	299	34	)	)	PUNCT
ejpam-5784	299	35	γ	γ	PROPN
ejpam-5784	299	36	(	(	PUNCT
ejpam-5784	299	37	iρ+	iρ+	PROPN
ejpam-5784	299	38	1)γ	1)γ	PROPN
ejpam-5784	299	39	(	(	PUNCT
ejpam-5784	299	40	(	(	PUNCT
ejpam-5784	299	41	−i+	−i+	X
ejpam-5784	299	42	j	j	PROPN
ejpam-5784	299	43	−	−	PROPN
ejpam-5784	300	1	1)ρ+	1)ρ+	NUM
ejpam-5784	300	2	1	1	NUM
ejpam-5784	300	3	)	)	PUNCT
ejpam-5784	300	4	+	+	CCONJ
ejpam-5784	300	5	ω	ω	NUM
ejpam-5784	300	6	γ	γ	X
ejpam-5784	300	7	(	(	PUNCT
ejpam-5784	300	8	(	(	PUNCT
ejpam-5784	300	9	j	j	PROPN
ejpam-5784	300	10	−	−	NOUN
ejpam-5784	300	11	1)ρ+	1)ρ+	NUM
ejpam-5784	300	12	1	1	NUM
ejpam-5784	300	13	)	)	PUNCT
ejpam-5784	300	14	j−1∑	j−1∑	NOUN
ejpam-5784	300	15	i=0	i=0	PROPN
ejpam-5784	300	16	φi(ς)φ	φi(ς)φ	NUM
ejpam-5784	300	17	′	′	NUM
ejpam-5784	300	18	−i+j−1(ς	−i+j−1(ς	PROPN
ejpam-5784	300	19	)	)	PUNCT
ejpam-5784	300	20	γ	γ	PROPN
ejpam-5784	300	21	(	(	PUNCT
ejpam-5784	300	22	iρ+	iρ+	PROPN
ejpam-5784	300	23	1)γ	1)γ	PROPN
ejpam-5784	300	24	(	(	PUNCT
ejpam-5784	300	25	(	(	PUNCT
ejpam-5784	300	26	−i+	−i+	X
ejpam-5784	300	27	j	j	PROPN
ejpam-5784	300	28	−	−	PROPN
ejpam-5784	300	29	1)ρ+	1)ρ+	NUM
ejpam-5784	300	30	1	1	NUM
ejpam-5784	300	31	)	)	PUNCT
ejpam-5784	300	32	]	]	PUNCT
ejpam-5784	301	1	τ	τ	PROPN
ejpam-5784	301	2	jρ	jρ	PROPN
ejpam-5784	301	3	γ	γ	X
ejpam-5784	301	4	(	(	PUNCT
ejpam-5784	301	5	jρ+	jρ+	ADV
ejpam-5784	301	6	1	1	NUM
ejpam-5784	301	7	)	)	PUNCT
ejpam-5784	301	8	.	.	PUNCT
ejpam-5784	302	1	ψ(ς	ψ(ς	PROPN
ejpam-5784	302	2	,	,	PUNCT
ejpam-5784	302	3	τ	τ	X
ejpam-5784	302	4	)	)	PUNCT
ejpam-5784	302	5	=	=	SYM
ejpam-5784	302	6	ψ(ς	ψ(ς	PROPN
ejpam-5784	302	7	)	)	PUNCT
ejpam-5784	303	1	+	+	CCONJ
ejpam-5784	303	2	∞∑	∞∑	NUM
ejpam-5784	303	3	j=1	j=1	NOUN
ejpam-5784	303	4	[	[	PUNCT
ejpam-5784	303	5	ψ′′	ψ′′	NOUN
ejpam-5784	303	6	j−1(ς)−	j−1(ς)−	NOUN
ejpam-5784	303	7	ϑγ	ϑγ	NOUN
ejpam-5784	303	8	(	(	PUNCT
ejpam-5784	303	9	(	(	PUNCT
ejpam-5784	303	10	j	j	PROPN
ejpam-5784	303	11	−	−	NOUN
ejpam-5784	303	12	1)ρ+	1)ρ+	NUM
ejpam-5784	303	13	1	1	NUM
ejpam-5784	303	14	)	)	PUNCT
ejpam-5784	303	15	j−1∑	j−1∑	NOUN
ejpam-5784	303	16	i=0	i=0	PROPN
ejpam-5784	303	17	ψi(ς)φ	ψi(ς)φ	PROPN
ejpam-5784	303	18	′	′	NUM
ejpam-5784	303	19	−i+j−1(ς	−i+j−1(ς	NUM
ejpam-5784	303	20	)	)	PUNCT
ejpam-5784	303	21	γ	γ	PROPN
ejpam-5784	303	22	(	(	PUNCT
ejpam-5784	303	23	iρ+	iρ+	PROPN
ejpam-5784	303	24	1)γ	1)γ	PROPN
ejpam-5784	303	25	(	(	PUNCT
ejpam-5784	303	26	(	(	PUNCT
ejpam-5784	303	27	−i+	−i+	X
ejpam-5784	303	28	j	j	PROPN
ejpam-5784	303	29	−	−	PROPN
ejpam-5784	303	30	1)ρ+	1)ρ+	NUM
ejpam-5784	303	31	1	1	NUM
ejpam-5784	303	32	)	)	PUNCT
ejpam-5784	303	33	−	−	NOUN
ejpam-5784	303	34	ϑγ	ϑγ	NOUN
ejpam-5784	303	35	(	(	PUNCT
ejpam-5784	303	36	(	(	PUNCT
ejpam-5784	303	37	j	j	PROPN
ejpam-5784	303	38	−	−	NOUN
ejpam-5784	304	1	1)ρ+	1)ρ+	NUM
ejpam-5784	304	2	1	1	NUM
ejpam-5784	304	3	)	)	PUNCT
ejpam-5784	304	4	j−1∑	j−1∑	NOUN
ejpam-5784	304	5	i=0	i=0	PROPN
ejpam-5784	304	6	φi(ς)ψ	φi(ς)ψ	PROPN
ejpam-5784	304	7	′	′	NUM
ejpam-5784	304	8	−i+j−1(ς	−i+j−1(ς	NUM
ejpam-5784	304	9	)	)	PUNCT
ejpam-5784	304	10	γ	γ	PROPN
ejpam-5784	304	11	(	(	PUNCT
ejpam-5784	304	12	iρ+	iρ+	PROPN
ejpam-5784	304	13	1)γ	1)γ	PROPN
ejpam-5784	304	14	(	(	PUNCT
ejpam-5784	304	15	(	(	PUNCT
ejpam-5784	304	16	−i+	−i+	X
ejpam-5784	304	17	j	j	PROPN
ejpam-5784	304	18	−	−	PROPN
ejpam-5784	305	1	1)ρ+	1)ρ+	NUM
ejpam-5784	305	2	1	1	NUM
ejpam-5784	305	3	)	)	PUNCT
ejpam-5784	305	4	+	+	CCONJ
ejpam-5784	305	5	γγ	γγ	PROPN
ejpam-5784	305	6	(	(	PUNCT
ejpam-5784	305	7	(	(	PUNCT
ejpam-5784	305	8	j	j	PROPN
ejpam-5784	305	9	−	−	NOUN
ejpam-5784	305	10	1)ρ+	1)ρ+	NUM
ejpam-5784	305	11	1	1	NUM
ejpam-5784	305	12	)	)	PUNCT
ejpam-5784	305	13	j−1∑	j−1∑	NOUN
ejpam-5784	305	14	i=0	i=0	PROPN
ejpam-5784	305	15	ψi(ς)ψ	ψi(ς)ψ	PROPN
ejpam-5784	305	16	′	′	NUM
ejpam-5784	305	17	−i+j−1(ς	−i+j−1(ς	NUM
ejpam-5784	305	18	)	)	PUNCT
ejpam-5784	305	19	γ	γ	PROPN
ejpam-5784	305	20	(	(	PUNCT
ejpam-5784	305	21	iρ+	iρ+	PROPN
ejpam-5784	305	22	1)γ	1)γ	PROPN
ejpam-5784	305	23	(	(	PUNCT
ejpam-5784	305	24	(	(	PUNCT
ejpam-5784	305	25	−i+	−i+	X
ejpam-5784	305	26	j	j	PROPN
ejpam-5784	305	27	−	−	PROPN
ejpam-5784	305	28	1)ρ+	1)ρ+	NUM
ejpam-5784	305	29	1	1	NUM
ejpam-5784	305	30	)	)	PUNCT
ejpam-5784	305	31	]	]	PUNCT
ejpam-5784	306	1	τ	τ	PROPN
ejpam-5784	306	2	jρ	jρ	PROPN
ejpam-5784	306	3	γ	γ	X
ejpam-5784	306	4	(	(	PUNCT
ejpam-5784	306	5	jρ+	jρ+	ADV
ejpam-5784	306	6	1	1	NUM
ejpam-5784	306	7	)	)	PUNCT
ejpam-5784	306	8	.	.	PUNCT
ejpam-5784	307	1	(	(	PUNCT
ejpam-5784	307	2	29	29	NUM
ejpam-5784	307	3	)	)	PUNCT
ejpam-5784	307	4	proof	proof	NOUN
ejpam-5784	307	5	.	.	PUNCT
ejpam-5784	308	1	based	base	VERB
ejpam-5784	308	2	upon	upon	SCONJ
ejpam-5784	308	3	the	the	DET
ejpam-5784	308	4	methodology	methodology	NOUN
ejpam-5784	308	5	of	of	ADP
ejpam-5784	308	6	the	the	DET
ejpam-5784	308	7	lt	lt	PROPN
ejpam-5784	308	8	-	-	PUNCT
ejpam-5784	308	9	rfps	rfps	PROPN
ejpam-5784	308	10	approach	approach	NOUN
ejpam-5784	308	11	in	in	ADP
ejpam-5784	308	12	creating	create	VERB
ejpam-5784	308	13	the	the	DET
ejpam-5784	308	14	analytical	analytical	ADJ
ejpam-5784	308	15	-	-	PUNCT
ejpam-5784	308	16	approximated	approximate	VERB
ejpam-5784	308	17	series	series	NOUN
ejpam-5784	308	18	solution	solution	NOUN
ejpam-5784	308	19	of	of	ADP
ejpam-5784	308	20	the	the	DET
ejpam-5784	308	21	target	target	NOUN
ejpam-5784	308	22	problem(2	problem(2	PUNCT
ejpam-5784	308	23	)	)	PUNCT
ejpam-5784	308	24	,	,	PUNCT
ejpam-5784	308	25	we	we	PRON
ejpam-5784	308	26	find	find	VERB
ejpam-5784	308	27	out	out	ADP
ejpam-5784	308	28	the	the	DET
ejpam-5784	308	29	lfps	lfps	NOUN
ejpam-5784	308	30	approximate	approximate	ADJ
ejpam-5784	308	31	solutions	solution	NOUN
ejpam-5784	308	32	of	of	ADP
ejpam-5784	308	33	the	the	DET
ejpam-5784	308	34	new	new	ADJ
ejpam-5784	308	35	converted	convert	VERB
ejpam-5784	308	36	laplace	laplace	NOUN
ejpam-5784	308	37	equation	equation	NOUN
ejpam-5784	308	38	of	of	ADP
ejpam-5784	308	39	the	the	DET
ejpam-5784	308	40	posed	pose	VERB
ejpam-5784	308	41	model	model	NOUN
ejpam-5784	308	42	in	in	ADP
ejpam-5784	308	43	the	the	DET
ejpam-5784	308	44	laplace	laplace	NOUN
ejpam-5784	308	45	space	space	NOUN
ejpam-5784	308	46	as	as	SCONJ
ejpam-5784	308	47	follows	follow	VERB
ejpam-5784	308	48	:	:	PUNCT
ejpam-5784	308	49	φ(ς	φ(ς	ADJ
ejpam-5784	308	50	,	,	PUNCT
ejpam-5784	308	51	ξ	ξ	NOUN
ejpam-5784	308	52	)	)	PUNCT
ejpam-5784	308	53	=	=	SYM
ejpam-5784	309	1	φ(ς	φ(ς	ADJ
ejpam-5784	309	2	)	)	PUNCT
ejpam-5784	309	3	ξ	ξ	PROPN
ejpam-5784	310	1	+	+	NUM
ejpam-5784	310	2	∞∑	∞∑	NUM
ejpam-5784	310	3	j=1	j=1	NOUN
ejpam-5784	310	4	[	[	PUNCT
ejpam-5784	310	5	φ′′	φ′′	PROPN
ejpam-5784	310	6	j−1(ς)−	j−1(ς)−	NOUN
ejpam-5784	310	7	qγ	qγ	PROPN
ejpam-5784	310	8	(	(	PUNCT
ejpam-5784	310	9	(	(	PUNCT
ejpam-5784	310	10	j	j	PROPN
ejpam-5784	310	11	−	−	NOUN
ejpam-5784	310	12	1)ρ+	1)ρ+	NUM
ejpam-5784	310	13	1	1	NUM
ejpam-5784	310	14	)	)	PUNCT
ejpam-5784	310	15	j−1∑	j−1∑	NOUN
ejpam-5784	310	16	i=0	i=0	PROPN
ejpam-5784	310	17	ψi(ς)φ	ψi(ς)φ	PROPN
ejpam-5784	310	18	′	′	NUM
ejpam-5784	310	19	−i+j−1(ς	−i+j−1(ς	NUM
ejpam-5784	310	20	)	)	PUNCT
ejpam-5784	310	21	γ(iρ+	γ(iρ+	VERB
ejpam-5784	310	22	1)γ	1)γ	PROPN
ejpam-5784	310	23	(	(	PUNCT
ejpam-5784	310	24	(	(	PUNCT
ejpam-5784	310	25	−i+	−i+	X
ejpam-5784	310	26	j	j	PROPN
ejpam-5784	310	27	−	−	PROPN
ejpam-5784	310	28	1)ρ+	1)ρ+	NUM
ejpam-5784	310	29	1	1	NUM
ejpam-5784	310	30	)	)	PUNCT
ejpam-5784	310	31	−	−	PROPN
ejpam-5784	310	32	qγ	qγ	NOUN
ejpam-5784	310	33	(	(	PUNCT
ejpam-5784	310	34	(	(	PUNCT
ejpam-5784	310	35	j	j	PROPN
ejpam-5784	310	36	−	−	NOUN
ejpam-5784	310	37	1)ρ+	1)ρ+	NUM
ejpam-5784	310	38	1	1	NUM
ejpam-5784	310	39	)	)	PUNCT
ejpam-5784	310	40	j−1∑	j−1∑	NOUN
ejpam-5784	310	41	i=0	i=0	PROPN
ejpam-5784	310	42	φi(ς)ψ	φi(ς)ψ	PROPN
ejpam-5784	310	43	′	′	NUM
ejpam-5784	310	44	−i+j−1(ς	−i+j−1(ς	NUM
ejpam-5784	310	45	)	)	PUNCT
ejpam-5784	310	46	γ(iρ+	γ(iρ+	VERB
ejpam-5784	310	47	1)γ	1)γ	PROPN
ejpam-5784	310	48	(	(	PUNCT
ejpam-5784	310	49	(	(	PUNCT
ejpam-5784	310	50	−i+	−i+	X
ejpam-5784	310	51	j	j	PROPN
ejpam-5784	310	52	−	−	PROPN
ejpam-5784	310	53	1)ρ+	1)ρ+	NUM
ejpam-5784	310	54	1	1	NUM
ejpam-5784	310	55	)	)	PUNCT
ejpam-5784	310	56	+	+	CCONJ
ejpam-5784	310	57	ωγ	ωγ	X
ejpam-5784	310	58	(	(	PUNCT
ejpam-5784	310	59	(	(	PUNCT
ejpam-5784	310	60	j	j	PROPN
ejpam-5784	310	61	−	−	NOUN
ejpam-5784	310	62	1)ρ+	1)ρ+	NUM
ejpam-5784	310	63	1	1	NUM
ejpam-5784	310	64	)	)	PUNCT
ejpam-5784	310	65	j−1∑	j−1∑	NOUN
ejpam-5784	310	66	i=0	i=0	PROPN
ejpam-5784	310	67	φi(ς)φ	φi(ς)φ	NUM
ejpam-5784	310	68	′	′	NUM
ejpam-5784	310	69	−i+j−1(ς	−i+j−1(ς	PROPN
ejpam-5784	310	70	)	)	PUNCT
ejpam-5784	310	71	γ(iρ+	γ(iρ+	VERB
ejpam-5784	310	72	1)γ	1)γ	PROPN
ejpam-5784	310	73	(	(	PUNCT
ejpam-5784	310	74	(	(	PUNCT
ejpam-5784	310	75	−i+	−i+	X
ejpam-5784	310	76	j	j	PROPN
ejpam-5784	310	77	−	−	PROPN
ejpam-5784	310	78	1)ρ+	1)ρ+	NUM
ejpam-5784	310	79	1	1	NUM
ejpam-5784	310	80	)	)	PUNCT
ejpam-5784	310	81	]	]	PUNCT
ejpam-5784	310	82	1	1	NUM
ejpam-5784	310	83	ξjρ+1	ξjρ+1	NOUN
ejpam-5784	310	84	.	.	PUNCT
ejpam-5784	311	1	ψ(ς	ψ(ς	NOUN
ejpam-5784	311	2	,	,	PUNCT
ejpam-5784	311	3	ξ	ξ	X
ejpam-5784	311	4	)	)	PUNCT
ejpam-5784	311	5	=	=	SYM
ejpam-5784	311	6	ψ(ς	ψ(ς	PROPN
ejpam-5784	311	7	)	)	PUNCT
ejpam-5784	312	1	ξ	ξ	X
ejpam-5784	313	1	−	−	NOUN
ejpam-5784	313	2	∞∑	∞∑	NUM
ejpam-5784	313	3	j=1	j=1	NOUN
ejpam-5784	313	4			NOUN
ejpam-5784	313	5	∞∑	∞∑	NUM
ejpam-5784	313	6	j=1	j=1	NOUN
ejpam-5784	313	7	(	(	PUNCT
ejpam-5784	313	8	ψ′′	ψ′′	PROPN
ejpam-5784	313	9	j−1(ς)−	j−1(ς)−	NOUN
ejpam-5784	313	10	ϑγ	ϑγ	NOUN
ejpam-5784	313	11	(	(	PUNCT
ejpam-5784	313	12	(	(	PUNCT
ejpam-5784	313	13	j	j	PROPN
ejpam-5784	313	14	−	−	NOUN
ejpam-5784	314	1	1)ρ+	1)ρ+	NUM
ejpam-5784	314	2	1	1	NUM
ejpam-5784	314	3	)	)	PUNCT
ejpam-5784	314	4	j−1∑	j−1∑	NOUN
ejpam-5784	314	5	i=0	i=0	PROPN
ejpam-5784	314	6	ψi(ς)φ	ψi(ς)φ	PROPN
ejpam-5784	314	7	′	′	NUM
ejpam-5784	314	8	−i+j−1(ς	−i+j−1(ς	NUM
ejpam-5784	314	9	)	)	PUNCT
ejpam-5784	314	10	γ(iρ+	γ(iρ+	VERB
ejpam-5784	314	11	1)γ	1)γ	PROPN
ejpam-5784	314	12	(	(	PUNCT
ejpam-5784	314	13	(	(	PUNCT
ejpam-5784	314	14	−i+	−i+	X
ejpam-5784	314	15	j	j	PROPN
ejpam-5784	314	16	−	−	PROPN
ejpam-5784	314	17	1)ρ+	1)ρ+	NUM
ejpam-5784	314	18	1	1	NUM
ejpam-5784	314	19	)	)	PUNCT
ejpam-5784	314	20	−	−	NOUN
ejpam-5784	314	21	ϑγ	ϑγ	NOUN
ejpam-5784	314	22	(	(	PUNCT
ejpam-5784	314	23	(	(	PUNCT
ejpam-5784	314	24	j	j	PROPN
ejpam-5784	314	25	−	−	NOUN
ejpam-5784	315	1	1)ρ+	1)ρ+	NUM
ejpam-5784	315	2	1	1	NUM
ejpam-5784	315	3	)	)	PUNCT
ejpam-5784	315	4	j−1∑	j−1∑	NOUN
ejpam-5784	315	5	i=0	i=0	PROPN
ejpam-5784	315	6	φi(ς)ψ	φi(ς)ψ	PROPN
ejpam-5784	315	7	′	′	NUM
ejpam-5784	315	8	−i+j−1(ς	−i+j−1(ς	NUM
ejpam-5784	315	9	)	)	PUNCT
ejpam-5784	315	10	γ(iρ+	γ(iρ+	VERB
ejpam-5784	315	11	1)γ	1)γ	PROPN
ejpam-5784	315	12	(	(	PUNCT
ejpam-5784	315	13	(	(	PUNCT
ejpam-5784	315	14	−i+	−i+	X
ejpam-5784	315	15	j	j	PROPN
ejpam-5784	315	16	−	−	PROPN
ejpam-5784	315	17	1)ρ+	1)ρ+	NUM
ejpam-5784	315	18	1	1	NUM
ejpam-5784	315	19	)	)	PUNCT
ejpam-5784	316	1	+	+	CCONJ
ejpam-5784	316	2	γγ	γγ	PROPN
ejpam-5784	316	3	(	(	PUNCT
ejpam-5784	316	4	(	(	PUNCT
ejpam-5784	316	5	j	j	PROPN
ejpam-5784	316	6	−	−	NOUN
ejpam-5784	316	7	1)ρ+	1)ρ+	NUM
ejpam-5784	316	8	1	1	NUM
ejpam-5784	316	9	)	)	PUNCT
ejpam-5784	316	10	j−1∑	j−1∑	NOUN
ejpam-5784	316	11	i=0	i=0	PROPN
ejpam-5784	316	12	ψi(ς)ψ	ψi(ς)ψ	PROPN
ejpam-5784	316	13	′	′	NUM
ejpam-5784	316	14	−i+j−1(ς	−i+j−1(ς	NUM
ejpam-5784	316	15	)	)	PUNCT
ejpam-5784	316	16	γ(iρ+	γ(iρ+	VERB
ejpam-5784	316	17	1)γ	1)γ	PROPN
ejpam-5784	316	18	(	(	PUNCT
ejpam-5784	316	19	(	(	PUNCT
ejpam-5784	316	20	−i+	−i+	X
ejpam-5784	316	21	j	j	PROPN
ejpam-5784	316	22	−	−	PROPN
ejpam-5784	317	1	1)ρ+	1)ρ+	NUM
ejpam-5784	317	2	1	1	NUM
ejpam-5784	317	3	)	)	PUNCT
ejpam-5784	317	4	]	]	PUNCT
ejpam-5784	317	5	1	1	NUM
ejpam-5784	317	6	ξjρ+1	ξjρ+1	NOUN
ejpam-5784	317	7	.	.	PUNCT
ejpam-5784	318	1	(	(	PUNCT
ejpam-5784	318	2	30	30	NUM
ejpam-5784	318	3	)	)	PUNCT
ejpam-5784	318	4	m.	m.	NOUN
ejpam-5784	318	5	alaroud	alaroud	PROPN
ejpam-5784	318	6	,	,	PUNCT
ejpam-5784	318	7	f.	f.	PROPN
ejpam-5784	318	8	aldosari	aldosari	PROPN
ejpam-5784	318	9	/	/	SYM
ejpam-5784	318	10	eur	eur	PROPN
ejpam-5784	318	11	.	.	PUNCT
ejpam-5784	319	1	j.	j.	PROPN
ejpam-5784	319	2	pure	pure	PROPN
ejpam-5784	319	3	appl	appl	PROPN
ejpam-5784	319	4	.	.	PROPN
ejpam-5784	319	5	math	math	PROPN
ejpam-5784	319	6	,	,	PUNCT
ejpam-5784	319	7	18	18	NUM
ejpam-5784	319	8	(	(	PUNCT
ejpam-5784	319	9	1	1	NUM
ejpam-5784	319	10	)	)	PUNCT
ejpam-5784	319	11	(	(	PUNCT
ejpam-5784	319	12	2025	2025	NUM
ejpam-5784	319	13	)	)	PUNCT
ejpam-5784	319	14	,	,	PUNCT
ejpam-5784	319	15	5784	5784	NUM
ejpam-5784	319	16	18	18	NUM
ejpam-5784	319	17	of	of	ADP
ejpam-5784	319	18	25	25	NUM
ejpam-5784	319	19	the	the	DET
ejpam-5784	319	20	analytical	analytical	ADJ
ejpam-5784	319	21	-	-	PUNCT
ejpam-5784	319	22	approximate	approximate	NOUN
ejpam-5784	319	23	series	series	NOUN
ejpam-5784	319	24	solutions	solutions	PROPN
ejpam-5784	319	25	φ	φ	PROPN
ejpam-5784	319	26	(	(	PUNCT
ejpam-5784	319	27	ς	ς	PROPN
ejpam-5784	319	28	,	,	PUNCT
ejpam-5784	319	29	τ	τ	PROPN
ejpam-5784	319	30	)	)	PUNCT
ejpam-5784	319	31	,	,	PUNCT
ejpam-5784	319	32	and	and	CCONJ
ejpam-5784	319	33	ψ	ψ	X
ejpam-5784	319	34	(	(	PUNCT
ejpam-5784	319	35	ς	ς	PROPN
ejpam-5784	319	36	,	,	PUNCT
ejpam-5784	319	37	τ	τ	PROPN
ejpam-5784	319	38	)	)	PUNCT
ejpam-5784	319	39	of	of	ADP
ejpam-5784	319	40	(	(	PUNCT
ejpam-5784	319	41	2	2	NUM
ejpam-5784	319	42	)	)	PUNCT
ejpam-5784	319	43	along	along	ADP
ejpam-5784	319	44	with	with	ADP
ejpam-5784	319	45	(	(	PUNCT
ejpam-5784	319	46	3	3	X
ejpam-5784	319	47	)	)	PUNCT
ejpam-5784	319	48	may	may	AUX
ejpam-5784	319	49	be	be	AUX
ejpam-5784	319	50	attained	attain	VERB
ejpam-5784	319	51	in	in	ADP
ejpam-5784	319	52	terms	term	NOUN
ejpam-5784	319	53	of	of	ADP
ejpam-5784	319	54	taylor	taylor	PROPN
ejpam-5784	319	55	’s	’s	PART
ejpam-5784	319	56	infinite	infinite	PROPN
ejpam-5784	319	57	series	series	NOUN
ejpam-5784	319	58	expansions	expansion	NOUN
ejpam-5784	319	59	via	via	ADP
ejpam-5784	319	60	running	run	VERB
ejpam-5784	319	61	the	the	DET
ejpam-5784	319	62	inverse	inverse	NOUN
ejpam-5784	319	63	lt	lt	DET
ejpam-5784	319	64	instrument	instrument	NOUN
ejpam-5784	319	65	into	into	ADP
ejpam-5784	319	66	(	(	PUNCT
ejpam-5784	319	67	30	30	NUM
ejpam-5784	319	68	)	)	PUNCT
ejpam-5784	319	69	as	as	ADP
ejpam-5784	319	70	the	the	DET
ejpam-5784	319	71	following	following	ADJ
ejpam-5784	319	72	shapes	shape	NOUN
ejpam-5784	319	73	:	:	PUNCT
ejpam-5784	320	1	φ(ς	φ(ς	ADJ
ejpam-5784	320	2	,	,	PUNCT
ejpam-5784	320	3	τ	τ	X
ejpam-5784	320	4	)	)	PUNCT
ejpam-5784	320	5	=	=	SYM
ejpam-5784	320	6	φ(ς	φ(ς	ADJ
ejpam-5784	320	7	)	)	PUNCT
ejpam-5784	320	8	+	+	CCONJ
ejpam-5784	320	9	∞∑	∞∑	NUM
ejpam-5784	320	10	j=1	j=1	NOUN
ejpam-5784	320	11	[	[	PUNCT
ejpam-5784	320	12	φ′′	φ′′	PROPN
ejpam-5784	320	13	j−1(ς)−	j−1(ς)−	NOUN
ejpam-5784	320	14	qγ	qγ	PROPN
ejpam-5784	320	15	(	(	PUNCT
ejpam-5784	320	16	(	(	PUNCT
ejpam-5784	320	17	j	j	PROPN
ejpam-5784	320	18	−	−	NOUN
ejpam-5784	320	19	1)ρ+	1)ρ+	NUM
ejpam-5784	320	20	1	1	NUM
ejpam-5784	320	21	)	)	PUNCT
ejpam-5784	320	22	j−1∑	j−1∑	NOUN
ejpam-5784	320	23	i=0	i=0	PROPN
ejpam-5784	320	24	ψi(ς)φ	ψi(ς)φ	PROPN
ejpam-5784	320	25	′	′	NUM
ejpam-5784	320	26	−i+j−1(ς	−i+j−1(ς	NUM
ejpam-5784	320	27	)	)	PUNCT
ejpam-5784	320	28	γ(iρ+	γ(iρ+	VERB
ejpam-5784	320	29	1)γ	1)γ	PROPN
ejpam-5784	320	30	(	(	PUNCT
ejpam-5784	320	31	(	(	PUNCT
ejpam-5784	320	32	−i+	−i+	X
ejpam-5784	320	33	j	j	PROPN
ejpam-5784	321	1	−	−	PROPN
ejpam-5784	321	2	1)ρ+	1)ρ+	NUM
ejpam-5784	321	3	1	1	NUM
ejpam-5784	321	4	)	)	PUNCT
ejpam-5784	321	5	−	−	PROPN
ejpam-5784	321	6	qγ	qγ	NOUN
ejpam-5784	321	7	(	(	PUNCT
ejpam-5784	321	8	(	(	PUNCT
ejpam-5784	321	9	j	j	PROPN
ejpam-5784	321	10	−	−	NOUN
ejpam-5784	321	11	1)ρ+	1)ρ+	NUM
ejpam-5784	321	12	1	1	NUM
ejpam-5784	321	13	)	)	PUNCT
ejpam-5784	321	14	j−1∑	j−1∑	NOUN
ejpam-5784	321	15	i=0	i=0	PROPN
ejpam-5784	321	16	φi(ς)ψ	φi(ς)ψ	PROPN
ejpam-5784	321	17	′	′	NUM
ejpam-5784	321	18	−i+j−1(ς	−i+j−1(ς	NUM
ejpam-5784	321	19	)	)	PUNCT
ejpam-5784	321	20	γ(iρ+	γ(iρ+	VERB
ejpam-5784	321	21	1)γ	1)γ	PROPN
ejpam-5784	321	22	(	(	PUNCT
ejpam-5784	321	23	(	(	PUNCT
ejpam-5784	321	24	−i+	−i+	X
ejpam-5784	321	25	j	j	PROPN
ejpam-5784	321	26	−	−	PROPN
ejpam-5784	321	27	1)ρ+	1)ρ+	NUM
ejpam-5784	321	28	1	1	NUM
ejpam-5784	321	29	)	)	PUNCT
ejpam-5784	321	30	+	+	CCONJ
ejpam-5784	321	31	ωγ	ωγ	X
ejpam-5784	321	32	(	(	PUNCT
ejpam-5784	321	33	(	(	PUNCT
ejpam-5784	321	34	j	j	PROPN
ejpam-5784	321	35	−	−	NOUN
ejpam-5784	321	36	1)ρ+	1)ρ+	NUM
ejpam-5784	321	37	1	1	NUM
ejpam-5784	321	38	)	)	PUNCT
ejpam-5784	321	39	j−1∑	j−1∑	NOUN
ejpam-5784	321	40	i=0	i=0	PROPN
ejpam-5784	321	41	φi(ς)φ	φi(ς)φ	NUM
ejpam-5784	321	42	′	′	NUM
ejpam-5784	321	43	−i+j−1(ς	−i+j−1(ς	PROPN
ejpam-5784	321	44	)	)	PUNCT
ejpam-5784	321	45	γ(iρ+	γ(iρ+	VERB
ejpam-5784	321	46	1)γ	1)γ	PROPN
ejpam-5784	321	47	(	(	PUNCT
ejpam-5784	321	48	(	(	PUNCT
ejpam-5784	321	49	−i+	−i+	X
ejpam-5784	321	50	j	j	PROPN
ejpam-5784	321	51	−	−	PROPN
ejpam-5784	321	52	1)ρ+	1)ρ+	NUM
ejpam-5784	321	53	1	1	NUM
ejpam-5784	321	54	)	)	PUNCT
ejpam-5784	321	55	]	]	PUNCT
ejpam-5784	322	1	τ	τ	PROPN
ejpam-5784	322	2	jρ	jρ	ADV
ejpam-5784	322	3	γ(jρ+	γ(jρ+	ADV
ejpam-5784	322	4	1	1	NUM
ejpam-5784	322	5	)	)	PUNCT
ejpam-5784	322	6	.	.	PUNCT
ejpam-5784	323	1	ψ(ς	ψ(ς	PROPN
ejpam-5784	323	2	,	,	PUNCT
ejpam-5784	323	3	τ	τ	X
ejpam-5784	323	4	)	)	PUNCT
ejpam-5784	323	5	=	=	SYM
ejpam-5784	323	6	ψ(ς	ψ(ς	PROPN
ejpam-5784	323	7	)	)	PUNCT
ejpam-5784	324	1	+	+	CCONJ
ejpam-5784	325	1	∞∑	∞∑	NUM
ejpam-5784	325	2	j=1	j=1	NOUN
ejpam-5784	325	3	(	(	PUNCT
ejpam-5784	325	4	ψ′′	ψ′′	PROPN
ejpam-5784	325	5	j−1(ς)−	j−1(ς)−	NOUN
ejpam-5784	325	6	ϑγ	ϑγ	NOUN
ejpam-5784	325	7	(	(	PUNCT
ejpam-5784	325	8	(	(	PUNCT
ejpam-5784	325	9	j	j	PROPN
ejpam-5784	325	10	−	−	NOUN
ejpam-5784	326	1	1)ρ+	1)ρ+	NUM
ejpam-5784	326	2	1	1	NUM
ejpam-5784	326	3	)	)	PUNCT
ejpam-5784	326	4	j−1∑	j−1∑	NOUN
ejpam-5784	326	5	i=0	i=0	PROPN
ejpam-5784	326	6	ψi(ς)φ	ψi(ς)φ	PROPN
ejpam-5784	326	7	′	′	NUM
ejpam-5784	326	8	−i+j−1(ς	−i+j−1(ς	NUM
ejpam-5784	326	9	)	)	PUNCT
ejpam-5784	326	10	γ(iρ+	γ(iρ+	VERB
ejpam-5784	326	11	1)γ	1)γ	PROPN
ejpam-5784	326	12	(	(	PUNCT
ejpam-5784	326	13	(	(	PUNCT
ejpam-5784	326	14	−i+	−i+	X
ejpam-5784	326	15	j	j	PROPN
ejpam-5784	326	16	−	−	PROPN
ejpam-5784	326	17	1)ρ+	1)ρ+	NUM
ejpam-5784	326	18	1	1	NUM
ejpam-5784	326	19	)	)	PUNCT
ejpam-5784	326	20	−	−	NOUN
ejpam-5784	326	21	ϑγ	ϑγ	NOUN
ejpam-5784	326	22	(	(	PUNCT
ejpam-5784	326	23	(	(	PUNCT
ejpam-5784	326	24	j	j	PROPN
ejpam-5784	326	25	−	−	NOUN
ejpam-5784	327	1	1)ρ+	1)ρ+	NUM
ejpam-5784	327	2	1	1	NUM
ejpam-5784	327	3	)	)	PUNCT
ejpam-5784	327	4	j−1∑	j−1∑	NOUN
ejpam-5784	327	5	i=0	i=0	PROPN
ejpam-5784	327	6	φi(ς)ψ	φi(ς)ψ	PROPN
ejpam-5784	327	7	′	′	NUM
ejpam-5784	327	8	−i+j−1(ς	−i+j−1(ς	NUM
ejpam-5784	327	9	)	)	PUNCT
ejpam-5784	327	10	γ(iρ+	γ(iρ+	VERB
ejpam-5784	327	11	1)γ	1)γ	PROPN
ejpam-5784	327	12	(	(	PUNCT
ejpam-5784	327	13	(	(	PUNCT
ejpam-5784	327	14	−i+	−i+	X
ejpam-5784	327	15	j	j	PROPN
ejpam-5784	327	16	−	−	PROPN
ejpam-5784	327	17	1)ρ+	1)ρ+	NUM
ejpam-5784	327	18	1	1	NUM
ejpam-5784	327	19	)	)	PUNCT
ejpam-5784	328	1	+	+	CCONJ
ejpam-5784	328	2	γγ	γγ	PROPN
ejpam-5784	328	3	(	(	PUNCT
ejpam-5784	328	4	(	(	PUNCT
ejpam-5784	328	5	j	j	PROPN
ejpam-5784	328	6	−	−	NOUN
ejpam-5784	328	7	1)ρ+	1)ρ+	NUM
ejpam-5784	328	8	1	1	NUM
ejpam-5784	328	9	)	)	PUNCT
ejpam-5784	328	10	j−1∑	j−1∑	NOUN
ejpam-5784	328	11	i=0	i=0	PROPN
ejpam-5784	328	12	ψi(ς)ψ	ψi(ς)ψ	PROPN
ejpam-5784	328	13	′	′	NUM
ejpam-5784	328	14	−i+j−1(ς	−i+j−1(ς	NUM
ejpam-5784	328	15	)	)	PUNCT
ejpam-5784	328	16	γ(iρ+	γ(iρ+	VERB
ejpam-5784	328	17	1)γ	1)γ	PROPN
ejpam-5784	328	18	(	(	PUNCT
ejpam-5784	328	19	(	(	PUNCT
ejpam-5784	328	20	−i+	−i+	X
ejpam-5784	328	21	j	j	PROPN
ejpam-5784	328	22	−	−	PROPN
ejpam-5784	328	23	1)ρ+	1)ρ+	NUM
ejpam-5784	328	24	1	1	NUM
ejpam-5784	328	25	)	)	PUNCT
ejpam-5784	328	26	)	)	PUNCT
ejpam-5784	329	1	τ	τ	PROPN
ejpam-5784	329	2	jρ	jρ	ADV
ejpam-5784	329	3	γ(jρ+	γ(jρ+	ADV
ejpam-5784	329	4	1	1	NUM
ejpam-5784	329	5	)	)	PUNCT
ejpam-5784	329	6	.	.	PUNCT
ejpam-5784	330	1	(	(	PUNCT
ejpam-5784	330	2	31	31	NUM
ejpam-5784	330	3	)	)	PUNCT
ejpam-5784	330	4	now	now	ADV
ejpam-5784	330	5	,	,	PUNCT
ejpam-5784	330	6	considering	consider	VERB
ejpam-5784	330	7	the	the	DET
ejpam-5784	330	8	initial	initial	ADJ
ejpam-5784	330	9	conditions	condition	NOUN
ejpam-5784	330	10	(	(	PUNCT
ejpam-5784	330	11	26	26	NUM
ejpam-5784	330	12	)	)	PUNCT
ejpam-5784	330	13	into	into	ADP
ejpam-5784	330	14	the	the	DET
ejpam-5784	330	15	obtained	obtain	VERB
ejpam-5784	330	16	recurrence	recurrence	NOUN
ejpam-5784	330	17	relations	relation	NOUN
ejpam-5784	330	18	(	(	PUNCT
ejpam-5784	330	19	28	28	NUM
ejpam-5784	330	20	)	)	PUNCT
ejpam-5784	330	21	,	,	PUNCT
ejpam-5784	330	22	set	set	VERB
ejpam-5784	330	23	ω	ω	PROPN
ejpam-5784	330	24	=	=	SYM
ejpam-5784	330	25	γ	γ	X
ejpam-5784	330	26	=	=	SYM
ejpam-5784	330	27	2	2	NUM
ejpam-5784	330	28	,	,	PUNCT
ejpam-5784	330	29	and	and	CCONJ
ejpam-5784	330	30	q	q	NOUN
ejpam-5784	330	31	=	=	SYM
ejpam-5784	330	32	ϑ	ϑ	X
ejpam-5784	330	33	=	=	SYM
ejpam-5784	330	34	1	1	NUM
ejpam-5784	330	35	the	the	DET
ejpam-5784	330	36	analytical	analytical	ADJ
ejpam-5784	330	37	-	-	PUNCT
ejpam-5784	330	38	approximate	approximate	ADJ
ejpam-5784	330	39	solutions	solution	NOUN
ejpam-5784	330	40	of	of	ADP
ejpam-5784	330	41	(	(	PUNCT
ejpam-5784	330	42	2	2	X
ejpam-5784	330	43	)	)	PUNCT
ejpam-5784	330	44	will	will	AUX
ejpam-5784	330	45	be	be	AUX
ejpam-5784	330	46	formulated	formulate	VERB
ejpam-5784	330	47	as	as	ADP
ejpam-5784	330	48	:	:	PUNCT
ejpam-5784	330	49	φ(ς	φ(ς	PROPN
ejpam-5784	330	50	,	,	PUNCT
ejpam-5784	330	51	τ	τ	X
ejpam-5784	330	52	)	)	PUNCT
ejpam-5784	330	53	=	=	SYM
ejpam-5784	330	54	sin(ς)−	sin(ς)−	NOUN
ejpam-5784	330	55	sin(ς	sin(ς	NOUN
ejpam-5784	330	56	)	)	PUNCT
ejpam-5784	330	57	τρ	τρ	ADP
ejpam-5784	330	58	γ(ρ+	γ(ρ+	NUM
ejpam-5784	330	59	1	1	NUM
ejpam-5784	330	60	)	)	PUNCT
ejpam-5784	331	1	+	+	CCONJ
ejpam-5784	331	2	sin(ς	sin(ς	NOUN
ejpam-5784	331	3	)	)	PUNCT
ejpam-5784	331	4	τ2ρ	τ2ρ	X
ejpam-5784	331	5	γ(2ρ+	γ(2ρ+	NOUN
ejpam-5784	331	6	1	1	NUM
ejpam-5784	331	7	)	)	PUNCT
ejpam-5784	331	8	−	−	PROPN
ejpam-5784	331	9	sin(ς	sin(ς	NOUN
ejpam-5784	331	10	)	)	PUNCT
ejpam-5784	331	11	τ3ρ	τ3ρ	PROPN
ejpam-5784	331	12	γ(3ρ+	γ(3ρ+	NOUN
ejpam-5784	331	13	1	1	NUM
ejpam-5784	331	14	)	)	PUNCT
ejpam-5784	331	15	.	.	PUNCT
ejpam-5784	331	16	.	.	PUNCT
ejpam-5784	331	17	.	.	PUNCT
ejpam-5784	332	1	=	=	PUNCT
ejpam-5784	332	2	sin(ς	sin(ς	NOUN
ejpam-5784	332	3	)	)	PUNCT
ejpam-5784	332	4	∞∑	∞∑	NUM
ejpam-5784	332	5	j=0	j=0	PROPN
ejpam-5784	332	6	(	(	PUNCT
ejpam-5784	332	7	−1)jτ	−1)jτ	PROPN
ejpam-5784	332	8	jρ	jρ	PROPN
ejpam-5784	332	9	γ(jρ+	γ(jρ+	ADV
ejpam-5784	332	10	1	1	NUM
ejpam-5784	332	11	)	)	PUNCT
ejpam-5784	332	12	=	=	SYM
ejpam-5784	332	13	sin(ς)eρ(−τρ	sin(ς)eρ(−τρ	PROPN
ejpam-5784	332	14	)	)	PUNCT
ejpam-5784	332	15	,	,	PUNCT
ejpam-5784	332	16	ψ(ς	ψ(ς	PROPN
ejpam-5784	332	17	,	,	PUNCT
ejpam-5784	332	18	τ	τ	X
ejpam-5784	332	19	)	)	PUNCT
ejpam-5784	332	20	=	=	SYM
ejpam-5784	332	21	sin(ς)−	sin(ς)−	NOUN
ejpam-5784	332	22	sin(ς	sin(ς	NOUN
ejpam-5784	332	23	)	)	PUNCT
ejpam-5784	332	24	τρ	τρ	ADP
ejpam-5784	332	25	γ(ρ+	γ(ρ+	NUM
ejpam-5784	332	26	1	1	NUM
ejpam-5784	332	27	)	)	PUNCT
ejpam-5784	332	28	+	+	CCONJ
ejpam-5784	332	29	sin(ς	sin(ς	NOUN
ejpam-5784	332	30	)	)	PUNCT
ejpam-5784	332	31	τ2ρ	τ2ρ	X
ejpam-5784	332	32	γ(2ρ+	γ(2ρ+	NOUN
ejpam-5784	332	33	1	1	NUM
ejpam-5784	332	34	)	)	PUNCT
ejpam-5784	332	35	−	−	PROPN
ejpam-5784	332	36	sin(ς	sin(ς	NOUN
ejpam-5784	332	37	)	)	PUNCT
ejpam-5784	332	38	τ3ρ	τ3ρ	PROPN
ejpam-5784	332	39	γ(3ρ+	γ(3ρ+	NOUN
ejpam-5784	332	40	1	1	NUM
ejpam-5784	332	41	)	)	PUNCT
ejpam-5784	332	42	.	.	PUNCT
ejpam-5784	332	43	.	.	PUNCT
ejpam-5784	332	44	.	.	PUNCT
ejpam-5784	333	1	=	=	PUNCT
ejpam-5784	333	2	sin(ς	sin(ς	NOUN
ejpam-5784	333	3	)	)	PUNCT
ejpam-5784	333	4	∞∑	∞∑	NUM
ejpam-5784	333	5	j=0	j=0	PROPN
ejpam-5784	333	6	(	(	PUNCT
ejpam-5784	333	7	−1)jτ	−1)jτ	PROPN
ejpam-5784	333	8	jρ	jρ	PROPN
ejpam-5784	333	9	γ(jρ+	γ(jρ+	ADV
ejpam-5784	333	10	1	1	NUM
ejpam-5784	333	11	)	)	PUNCT
ejpam-5784	333	12	=	=	SYM
ejpam-5784	333	13	sin(ς)eρ(−τρ	sin(ς)eρ(−τρ	PROPN
ejpam-5784	333	14	)	)	PUNCT
ejpam-5784	333	15	.	.	PUNCT
ejpam-5784	334	1	(	(	PUNCT
ejpam-5784	334	2	32	32	NUM
ejpam-5784	334	3	)	)	PUNCT
ejpam-5784	334	4	m.	m.	NOUN
ejpam-5784	334	5	alaroud	alaroud	PROPN
ejpam-5784	334	6	,	,	PUNCT
ejpam-5784	334	7	f.	f.	PROPN
ejpam-5784	334	8	aldosari	aldosari	PROPN
ejpam-5784	334	9	/	/	SYM
ejpam-5784	334	10	eur	eur	PROPN
ejpam-5784	334	11	.	.	PUNCT
ejpam-5784	335	1	j.	j.	PROPN
ejpam-5784	335	2	pure	pure	PROPN
ejpam-5784	335	3	appl	appl	PROPN
ejpam-5784	335	4	.	.	PROPN
ejpam-5784	335	5	math	math	PROPN
ejpam-5784	335	6	,	,	PUNCT
ejpam-5784	335	7	18	18	NUM
ejpam-5784	335	8	(	(	PUNCT
ejpam-5784	335	9	1	1	NUM
ejpam-5784	335	10	)	)	PUNCT
ejpam-5784	335	11	(	(	PUNCT
ejpam-5784	335	12	2025	2025	NUM
ejpam-5784	335	13	)	)	PUNCT
ejpam-5784	335	14	,	,	PUNCT
ejpam-5784	335	15	5784	5784	NUM
ejpam-5784	335	16	19	19	NUM
ejpam-5784	335	17	of	of	ADP
ejpam-5784	335	18	25	25	NUM
ejpam-5784	335	19	in	in	ADP
ejpam-5784	335	20	case	case	NOUN
ejpam-5784	335	21	ρ	ρ	X
ejpam-5784	335	22	=	=	SYM
ejpam-5784	335	23	1	1	NUM
ejpam-5784	335	24	,	,	PUNCT
ejpam-5784	335	25	the	the	DET
ejpam-5784	335	26	obtained	obtain	VERB
ejpam-5784	335	27	analytical	analytical	ADJ
ejpam-5784	335	28	-	-	PUNCT
ejpam-5784	335	29	approximate	approximate	ADJ
ejpam-5784	335	30	solutions	solution	NOUN
ejpam-5784	335	31	of	of	ADP
ejpam-5784	335	32	the	the	DET
ejpam-5784	335	33	non	non	ADJ
ejpam-5784	335	34	-	-	ADJ
ejpam-5784	335	35	linear	linear	ADJ
ejpam-5784	335	36	caputo	caputo	PROPN
ejpam-5784	335	37	time	time	NOUN
ejpam-5784	335	38	-	-	PUNCT
ejpam-5784	335	39	fractional	fractional	ADJ
ejpam-5784	335	40	order	order	NOUN
ejpam-5784	335	41	coupled	couple	VERB
ejpam-5784	335	42	cvbe	cvbe	NOUN
ejpam-5784	335	43	system	system	NOUN
ejpam-5784	335	44	(	(	PUNCT
ejpam-5784	335	45	2	2	NUM
ejpam-5784	335	46	)	)	PUNCT
ejpam-5784	335	47	along	along	ADP
ejpam-5784	335	48	with	with	ADP
ejpam-5784	335	49	(	(	PUNCT
ejpam-5784	335	50	26	26	NUM
ejpam-5784	335	51	)	)	PUNCT
ejpam-5784	335	52	reduces	reduce	VERB
ejpam-5784	335	53	to	to	ADP
ejpam-5784	335	54	the	the	DET
ejpam-5784	335	55	following	follow	VERB
ejpam-5784	335	56	infinite	infinite	ADJ
ejpam-5784	335	57	maclaurin	maclaurin	NOUN
ejpam-5784	335	58	series	series	NOUN
ejpam-5784	335	59	expansions	expansion	NOUN
ejpam-5784	335	60	:	:	PUNCT
ejpam-5784	335	61	φ	φ	PROPN
ejpam-5784	335	62	(	(	PUNCT
ejpam-5784	335	63	ς	ς	PROPN
ejpam-5784	335	64	,	,	PUNCT
ejpam-5784	335	65	τ	τ	NOUN
ejpam-5784	335	66	)	)	PUNCT
ejpam-5784	335	67	=	=	SYM
ejpam-5784	335	68	sin(ς	sin(ς	NOUN
ejpam-5784	335	69	)	)	PUNCT
ejpam-5784	335	70	(	(	PUNCT
ejpam-5784	335	71	1−	1−	NUM
ejpam-5784	335	72	τ	τ	X
ejpam-5784	335	73	+	+	CCONJ
ejpam-5784	335	74	τ2	τ2	PROPN
ejpam-5784	335	75	γ	γ	X
ejpam-5784	335	76	(	(	PUNCT
ejpam-5784	335	77	3	3	NUM
ejpam-5784	335	78	)	)	PUNCT
ejpam-5784	335	79	−	−	PROPN
ejpam-5784	335	80	τ3	τ3	NOUN
ejpam-5784	335	81	γ	γ	X
ejpam-5784	335	82	(	(	PUNCT
ejpam-5784	335	83	4	4	NUM
ejpam-5784	335	84	)	)	PUNCT
ejpam-5784	335	85	+	+	NUM
ejpam-5784	335	86	τ4	τ4	PROPN
ejpam-5784	335	87	γ	γ	X
ejpam-5784	335	88	(	(	PUNCT
ejpam-5784	335	89	5	5	NUM
ejpam-5784	335	90	)	)	PUNCT
ejpam-5784	335	91	+	+	CCONJ
ejpam-5784	335	92	.	.	PUNCT
ejpam-5784	335	93	.	.	PUNCT
ejpam-5784	335	94	.	.	PUNCT
ejpam-5784	335	95	)	)	PUNCT
ejpam-5784	336	1	=	=	PRON
ejpam-5784	336	2	sin	sin	NOUN
ejpam-5784	336	3	(	(	PUNCT
ejpam-5784	336	4	ς	ς	NOUN
ejpam-5784	336	5	)	)	PUNCT
ejpam-5784	336	6	∞∑	∞∑	NUM
ejpam-5784	336	7	j=0	j=0	PROPN
ejpam-5784	336	8	(	(	PUNCT
ejpam-5784	336	9	−)jτ	−)jτ	PROPN
ejpam-5784	336	10	j	j	PROPN
ejpam-5784	336	11	γ	γ	X
ejpam-5784	336	12	(	(	PUNCT
ejpam-5784	336	13	j	j	PROPN
ejpam-5784	336	14	+	+	PROPN
ejpam-5784	336	15	1	1	NUM
ejpam-5784	336	16	)	)	PUNCT
ejpam-5784	336	17	,	,	PUNCT
ejpam-5784	336	18	ψ	ψ	X
ejpam-5784	336	19	(	(	PUNCT
ejpam-5784	336	20	ς	ς	PROPN
ejpam-5784	336	21	,	,	PUNCT
ejpam-5784	336	22	τ	τ	NOUN
ejpam-5784	336	23	)	)	PUNCT
ejpam-5784	336	24	=	=	SYM
ejpam-5784	336	25	sin(ς	sin(ς	NOUN
ejpam-5784	336	26	)	)	PUNCT
ejpam-5784	336	27	(	(	PUNCT
ejpam-5784	336	28	1−	1−	NUM
ejpam-5784	336	29	τ	τ	X
ejpam-5784	336	30	+	+	CCONJ
ejpam-5784	336	31	τ2	τ2	PROPN
ejpam-5784	336	32	γ	γ	X
ejpam-5784	336	33	(	(	PUNCT
ejpam-5784	336	34	3	3	NUM
ejpam-5784	336	35	)	)	PUNCT
ejpam-5784	336	36	−	−	PROPN
ejpam-5784	336	37	τ3	τ3	NOUN
ejpam-5784	336	38	γ	γ	X
ejpam-5784	336	39	(	(	PUNCT
ejpam-5784	336	40	4	4	NUM
ejpam-5784	336	41	)	)	PUNCT
ejpam-5784	336	42	+	+	NUM
ejpam-5784	336	43	τ4	τ4	PROPN
ejpam-5784	336	44	γ	γ	X
ejpam-5784	336	45	(	(	PUNCT
ejpam-5784	336	46	5	5	NUM
ejpam-5784	336	47	)	)	PUNCT
ejpam-5784	336	48	+	+	CCONJ
ejpam-5784	336	49	.	.	PUNCT
ejpam-5784	336	50	.	.	PUNCT
ejpam-5784	336	51	.	.	PUNCT
ejpam-5784	336	52	)	)	PUNCT
ejpam-5784	337	1	=	=	PRON
ejpam-5784	337	2	sin	sin	NOUN
ejpam-5784	337	3	(	(	PUNCT
ejpam-5784	337	4	ς	ς	NOUN
ejpam-5784	337	5	)	)	PUNCT
ejpam-5784	337	6	∞∑	∞∑	NUM
ejpam-5784	337	7	j=0	j=0	PROPN
ejpam-5784	337	8	(	(	PUNCT
ejpam-5784	337	9	−)jτ	−)jτ	PROPN
ejpam-5784	337	10	j	j	PROPN
ejpam-5784	337	11	γ	γ	X
ejpam-5784	337	12	(	(	PUNCT
ejpam-5784	337	13	j	j	PROPN
ejpam-5784	337	14	+	+	PROPN
ejpam-5784	337	15	1	1	NUM
ejpam-5784	337	16	)	)	PUNCT
ejpam-5784	337	17	,	,	PUNCT
ejpam-5784	337	18	(	(	PUNCT
ejpam-5784	337	19	33	33	NUM
ejpam-5784	337	20	)	)	PUNCT
ejpam-5784	337	21	which	which	PRON
ejpam-5784	337	22	concur	concur	VERB
ejpam-5784	337	23	with	with	ADP
ejpam-5784	337	24	the	the	DET
ejpam-5784	337	25	analytical	analytical	ADJ
ejpam-5784	337	26	solution	solution	NOUN
ejpam-5784	337	27	gained	gain	VERB
ejpam-5784	337	28	by	by	ADP
ejpam-5784	337	29	laplace	laplace	NOUN
ejpam-5784	337	30	decomposition	decomposition	NOUN
ejpam-5784	337	31	method	method	NOUN
ejpam-5784	337	32	(	(	PUNCT
ejpam-5784	337	33	cldm	cldm	NOUN
ejpam-5784	337	34	)	)	PUNCT
ejpam-5784	338	1	[	[	X
ejpam-5784	338	2	13	13	NUM
ejpam-5784	338	3	]	]	PUNCT
ejpam-5784	338	4	,	,	PUNCT
ejpam-5784	338	5	and	and	CCONJ
ejpam-5784	338	6	laplace	laplace	PROPN
ejpam-5784	338	7	homotopy	homotopy	NOUN
ejpam-5784	338	8	perturbation	perturbation	NOUN
ejpam-5784	338	9	method	method	NOUN
ejpam-5784	338	10	(	(	PUNCT
ejpam-5784	338	11	lpm	lpm	NOUN
ejpam-5784	338	12	)	)	PUNCT
ejpam-5784	339	1	[	[	X
ejpam-5784	339	2	45	45	NUM
ejpam-5784	339	3	]	]	PUNCT
ejpam-5784	339	4	,	,	PUNCT
ejpam-5784	339	5	so	so	SCONJ
ejpam-5784	339	6	that	that	SCONJ
ejpam-5784	339	7	φ	φ	PROPN
ejpam-5784	339	8	(	(	PUNCT
ejpam-5784	339	9	ς	ς	PROPN
ejpam-5784	339	10	,	,	PUNCT
ejpam-5784	339	11	τ	τ	X
ejpam-5784	339	12	)	)	PUNCT
ejpam-5784	339	13	=	=	SYM
ejpam-5784	339	14	ψ	ψ	X
ejpam-5784	339	15	(	(	PUNCT
ejpam-5784	339	16	ς	ς	PROPN
ejpam-5784	339	17	,	,	PUNCT
ejpam-5784	339	18	τ	τ	NOUN
ejpam-5784	339	19	)	)	PUNCT
ejpam-5784	339	20	=	=	SYM
ejpam-5784	339	21	sin(ς	sin(ς	NOUN
ejpam-5784	339	22	)	)	PUNCT
ejpam-5784	339	23	e−τ	e−τ	NOUN
ejpam-5784	339	24	.	.	PUNCT
ejpam-5784	340	1	numerical	numerical	ADJ
ejpam-5784	340	2	and	and	CCONJ
ejpam-5784	340	3	graphical	graphical	ADJ
ejpam-5784	340	4	simulations	simulation	NOUN
ejpam-5784	340	5	were	be	AUX
ejpam-5784	340	6	performed	perform	VERB
ejpam-5784	340	7	to	to	PART
ejpam-5784	340	8	demonstrate	demonstrate	VERB
ejpam-5784	340	9	the	the	DET
ejpam-5784	340	10	effectiveness	effectiveness	NOUN
ejpam-5784	340	11	and	and	CCONJ
ejpam-5784	340	12	reliability	reliability	NOUN
ejpam-5784	340	13	of	of	ADP
ejpam-5784	340	14	the	the	DET
ejpam-5784	340	15	proposed	propose	VERB
ejpam-5784	340	16	approach	approach	NOUN
ejpam-5784	340	17	in	in	ADP
ejpam-5784	340	18	resolving	resolve	VERB
ejpam-5784	340	19	the	the	DET
ejpam-5784	340	20	coupled	couple	VERB
ejpam-5784	340	21	cvbe	cvbe	NOUN
ejpam-5784	340	22	system	system	NOUN
ejpam-5784	340	23	(	(	PUNCT
ejpam-5784	340	24	2	2	NUM
ejpam-5784	340	25	)	)	PUNCT
ejpam-5784	340	26	.	.	PUNCT
ejpam-5784	341	1	the	the	DET
ejpam-5784	341	2	results	result	NOUN
ejpam-5784	341	3	are	be	AUX
ejpam-5784	341	4	presented	present	VERB
ejpam-5784	341	5	in	in	ADP
ejpam-5784	341	6	table	table	NOUN
ejpam-5784	341	7	3	3	NUM
ejpam-5784	341	8	,	,	PUNCT
ejpam-5784	341	9	as	as	ADV
ejpam-5784	341	10	well	well	ADV
ejpam-5784	341	11	as	as	ADP
ejpam-5784	341	12	figures	figure	NOUN
ejpam-5784	341	13	4	4	NUM
ejpam-5784	341	14	and	and	CCONJ
ejpam-5784	341	15	5	5	NUM
ejpam-5784	341	16	.	.	PUNCT
ejpam-5784	341	17	specifically	specifically	ADV
ejpam-5784	341	18	,	,	PUNCT
ejpam-5784	341	19	table	table	NOUN
ejpam-5784	341	20	3	3	NUM
ejpam-5784	341	21	lists	list	VERB
ejpam-5784	341	22	the	the	DET
ejpam-5784	341	23	jth	jth	PROPN
ejpam-5784	341	24	-	-	PUNCT
ejpam-5784	341	25	approximate	approximate	ADJ
ejpam-5784	341	26	solutions	solution	NOUN
ejpam-5784	341	27	for	for	ADP
ejpam-5784	341	28	various	various	ADJ
ejpam-5784	341	29	values	value	NOUN
ejpam-5784	341	30	of	of	ADP
ejpam-5784	341	31	ρ	ρ	PROPN
ejpam-5784	341	32	inclding	inclde	VERB
ejpam-5784	341	33	{	{	PUNCT
ejpam-5784	341	34	0.7	0.7	NUM
ejpam-5784	341	35	,	,	PUNCT
ejpam-5784	341	36	0.8	0.8	NUM
ejpam-5784	341	37	,	,	PUNCT
ejpam-5784	341	38	0.9	0.9	NUM
ejpam-5784	341	39	,	,	PUNCT
ejpam-5784	341	40	1	1	NUM
ejpam-5784	341	41	}	}	PUNCT
ejpam-5784	341	42	with	with	ADP
ejpam-5784	341	43	fix	fix	NOUN
ejpam-5784	341	44	values	value	NOUN
ejpam-5784	341	45	of	of	ADP
ejpam-5784	341	46	ς	ς	PROPN
ejpam-5784	341	47	over	over	ADP
ejpam-5784	341	48	the	the	DET
ejpam-5784	341	49	time	time	NOUN
ejpam-5784	341	50	domain	domain	NOUN
ejpam-5784	341	51	τ	τ	X
ejpam-5784	341	52	∈	∈	PROPN
ejpam-5784	342	1	[	[	X
ejpam-5784	342	2	0	0	NUM
ejpam-5784	342	3	,	,	PUNCT
ejpam-5784	342	4	2	2	NUM
ejpam-5784	342	5	]	]	PUNCT
ejpam-5784	342	6	.	.	PUNCT
ejpam-5784	343	1	also	also	ADV
ejpam-5784	343	2	,	,	PUNCT
ejpam-5784	343	3	the	the	DET
ejpam-5784	343	4	table	table	NOUN
ejpam-5784	343	5	shows	show	VERB
ejpam-5784	343	6	the	the	DET
ejpam-5784	343	7	absolute	absolute	ADJ
ejpam-5784	343	8	errors	error	NOUN
ejpam-5784	343	9	|φ−	|φ−	ADP
ejpam-5784	343	10	φ6|	φ6|	PRON
ejpam-5784	343	11	which	which	PRON
ejpam-5784	343	12	displays	display	VERB
ejpam-5784	343	13	superb	superb	ADJ
ejpam-5784	343	14	solutions	solution	NOUN
ejpam-5784	343	15	within	within	ADP
ejpam-5784	343	16	a	a	DET
ejpam-5784	343	17	small	small	ADJ
ejpam-5784	343	18	iterationsand	iterationsand	NOUN
ejpam-5784	343	19	which	which	PRON
ejpam-5784	343	20	confirm	confirm	VERB
ejpam-5784	343	21	the	the	DET
ejpam-5784	343	22	validity	validity	NOUN
ejpam-5784	343	23	,	,	PUNCT
ejpam-5784	343	24	and	and	CCONJ
ejpam-5784	343	25	efficiency	efficiency	NOUN
ejpam-5784	343	26	of	of	ADP
ejpam-5784	343	27	the	the	DET
ejpam-5784	343	28	present	present	ADJ
ejpam-5784	343	29	procedure	procedure	NOUN
ejpam-5784	343	30	.	.	PUNCT
ejpam-5784	344	1	figure	figure	NOUN
ejpam-5784	344	2	5	5	NUM
ejpam-5784	344	3	illustrates	illustrate	VERB
ejpam-5784	344	4	how	how	SCONJ
ejpam-5784	344	5	the	the	DET
ejpam-5784	344	6	number	number	NOUN
ejpam-5784	344	7	of	of	ADP
ejpam-5784	344	8	iterations	iteration	NOUN
ejpam-5784	344	9	of	of	ADP
ejpam-5784	344	10	approximate	approximate	ADJ
ejpam-5784	344	11	solutions	solution	NOUN
ejpam-5784	344	12	affects	affect	VERB
ejpam-5784	344	13	on	on	ADP
ejpam-5784	344	14	the	the	DET
ejpam-5784	344	15	behavior	behavior	NOUN
ejpam-5784	344	16	of	of	ADP
ejpam-5784	344	17	the	the	DET
ejpam-5784	344	18	acquired	acquire	VERB
ejpam-5784	344	19	findings	finding	NOUN
ejpam-5784	344	20	at	at	ADP
ejpam-5784	344	21	different	different	ADJ
ejpam-5784	344	22	values	value	NOUN
ejpam-5784	344	23	of	of	ADP
ejpam-5784	344	24	the	the	DET
ejpam-5784	344	25	fractional	fractional	ADJ
ejpam-5784	344	26	order	order	NOUN
ejpam-5784	344	27	parameter	parameter	NOUN
ejpam-5784	344	28	with	with	ADP
ejpam-5784	344	29	exact	exact	ADJ
ejpam-5784	344	30	solutions	solution	NOUN
ejpam-5784	344	31	.	.	PUNCT
ejpam-5784	345	1	also	also	ADV
ejpam-5784	345	2	,	,	PUNCT
ejpam-5784	345	3	ρth	ρth	NUM
ejpam-5784	345	4	-	-	PUNCT
ejpam-5784	345	5	time	time	NOUN
ejpam-5784	345	6	caputo	caputo	PROPN
ejpam-5784	345	7	-	-	PUNCT
ejpam-5784	345	8	fd	fd	PROPN
ejpam-5784	345	9	of	of	ADP
ejpam-5784	345	10	the	the	DET
ejpam-5784	345	11	6	6	NUM
ejpam-5784	345	12	-	-	PUNCT
ejpam-5784	345	13	th	th	VERB
ejpam-5784	345	14	truncation	truncation	NOUN
ejpam-5784	345	15	approximate	approximate	ADJ
ejpam-5784	345	16	solutions	solution	NOUN
ejpam-5784	345	17	φ6	φ6	NOUN
ejpam-5784	345	18	(	(	PUNCT
ejpam-5784	345	19	ς	ς	PROPN
ejpam-5784	345	20	,	,	PUNCT
ejpam-5784	345	21	τ	τ	PROPN
ejpam-5784	345	22	)	)	PUNCT
ejpam-5784	345	23	and	and	CCONJ
ejpam-5784	345	24	ψ6(ς	ψ6(ς	PROPN
ejpam-5784	345	25	,	,	PUNCT
ejpam-5784	345	26	τ	τ	X
ejpam-5784	345	27	)	)	PUNCT
ejpam-5784	345	28	at	at	ADP
ejpam-5784	345	29	various	various	ADJ
ejpam-5784	345	30	values	value	NOUN
ejpam-5784	345	31	of	of	ADP
ejpam-5784	345	32	ρ	ρ	PROPN
ejpam-5784	345	33	are	be	AUX
ejpam-5784	345	34	displayed	display	VERB
ejpam-5784	345	35	in	in	ADP
ejpam-5784	345	36	2d	2d	NOUN
ejpam-5784	345	37	-	-	PUNCT
ejpam-5784	345	38	diagrams	diagram	NOUN
ejpam-5784	345	39	as	as	SCONJ
ejpam-5784	345	40	shown	show	VERB
ejpam-5784	345	41	in	in	ADP
ejpam-5784	345	42	figure	figure	NOUN
ejpam-5784	345	43	4	4	NUM
ejpam-5784	345	44	for	for	ADP
ejpam-5784	345	45	different	different	ADJ
ejpam-5784	345	46	values	value	NOUN
ejpam-5784	345	47	of	of	ADP
ejpam-5784	345	48	ρ∈	ρ∈	ADV
ejpam-5784	345	49	{	{	PUNCT
ejpam-5784	345	50	0.8	0.8	NUM
ejpam-5784	345	51	,	,	PUNCT
ejpam-5784	345	52	0.9	0.9	NUM
ejpam-5784	345	53	,	,	PUNCT
ejpam-5784	345	54	1	1	NUM
ejpam-5784	345	55	}	}	PUNCT
ejpam-5784	345	56	.	.	PUNCT
ejpam-5784	346	1	it	it	PRON
ejpam-5784	346	2	is	be	AUX
ejpam-5784	346	3	noted	note	VERB
ejpam-5784	346	4	from	from	ADP
ejpam-5784	346	5	this	this	DET
ejpam-5784	346	6	simulation	simulation	NOUN
ejpam-5784	346	7	clearly	clearly	ADV
ejpam-5784	346	8	shows	show	VERB
ejpam-5784	346	9	that	that	SCONJ
ejpam-5784	346	10	the	the	DET
ejpam-5784	346	11	behavior	behavior	NOUN
ejpam-5784	346	12	of	of	ADP
ejpam-5784	346	13	the	the	DET
ejpam-5784	346	14	lt	lt	PROPN
ejpam-5784	346	15	-	-	PUNCT
ejpam-5784	346	16	rfps	rfps	PROPN
ejpam-5784	346	17	solutions	solution	NOUN
ejpam-5784	346	18	for	for	ADP
ejpam-5784	346	19	various	various	ADJ
ejpam-5784	346	20	ρ	ρ	PROPN
ejpam-5784	346	21	-	-	PUNCT
ejpam-5784	346	22	levels	level	NOUN
ejpam-5784	346	23	provide	provide	VERB
ejpam-5784	346	24	more	more	ADV
ejpam-5784	346	25	precise	precise	ADJ
ejpam-5784	346	26	and	and	CCONJ
ejpam-5784	346	27	reliable	reliable	ADJ
ejpam-5784	346	28	approximations	approximation	NOUN
ejpam-5784	346	29	over	over	ADP
ejpam-5784	346	30	the	the	DET
ejpam-5784	346	31	considered	consider	VERB
ejpam-5784	346	32	domain	domain	NOUN
ejpam-5784	346	33	in	in	ADP
ejpam-5784	346	34	harmony	harmony	NOUN
ejpam-5784	346	35	with	with	ADP
ejpam-5784	346	36	one	one	NUM
ejpam-5784	346	37	another	another	DET
ejpam-5784	346	38	and	and	CCONJ
ejpam-5784	346	39	tends	tend	VERB
ejpam-5784	346	40	constantly	constantly	ADV
ejpam-5784	346	41	to	to	ADP
ejpam-5784	346	42	the	the	DET
ejpam-5784	346	43	classical	classical	ADJ
ejpam-5784	346	44	ordered	order	VERB
ejpam-5784	346	45	ρ	ρ	PROPN
ejpam-5784	346	46	=	=	SYM
ejpam-5784	346	47	1	1	NUM
ejpam-5784	346	48	in	in	ADP
ejpam-5784	346	49	a	a	DET
ejpam-5784	346	50	consistency	consistency	NOUN
ejpam-5784	346	51	manner	manner	NOUN
ejpam-5784	346	52	.	.	PUNCT
ejpam-5784	347	1	particularly	particularly	ADV
ejpam-5784	347	2	when	when	SCONJ
ejpam-5784	347	3	the	the	DET
ejpam-5784	347	4	approximation	approximation	NOUN
ejpam-5784	347	5	solutions	solution	NOUN
ejpam-5784	347	6	’	'	PUNCT
ejpam-5784	347	7	terms	term	NOUN
ejpam-5784	347	8	are	be	AUX
ejpam-5784	347	9	increased	increase	VERB
ejpam-5784	347	10	.	.	PUNCT
ejpam-5784	348	1	m.	m.	PROPN
ejpam-5784	348	2	alaroud	alaroud	PROPN
ejpam-5784	348	3	,	,	PUNCT
ejpam-5784	348	4	f.	f.	PROPN
ejpam-5784	348	5	aldosari	aldosari	PROPN
ejpam-5784	348	6	/	/	SYM
ejpam-5784	348	7	eur	eur	PROPN
ejpam-5784	348	8	.	.	PUNCT
ejpam-5784	349	1	j.	j.	PROPN
ejpam-5784	349	2	pure	pure	PROPN
ejpam-5784	349	3	appl	appl	PROPN
ejpam-5784	349	4	.	.	PROPN
ejpam-5784	349	5	math	math	PROPN
ejpam-5784	349	6	,	,	PUNCT
ejpam-5784	349	7	18	18	NUM
ejpam-5784	349	8	(	(	PUNCT
ejpam-5784	349	9	1	1	NUM
ejpam-5784	349	10	)	)	PUNCT
ejpam-5784	349	11	(	(	PUNCT
ejpam-5784	349	12	2025	2025	NUM
ejpam-5784	349	13	)	)	PUNCT
ejpam-5784	349	14	,	,	PUNCT
ejpam-5784	349	15	5784	5784	NUM
ejpam-5784	349	16	20	20	NUM
ejpam-5784	349	17	of	of	ADP
ejpam-5784	349	18	25	25	NUM
ejpam-5784	349	19	table	table	NOUN
ejpam-5784	349	20	3	3	NUM
ejpam-5784	349	21	:	:	PUNCT
ejpam-5784	349	22	comparisons	comparison	NOUN
ejpam-5784	349	23	of	of	ADP
ejpam-5784	349	24	numerical	numerical	ADJ
ejpam-5784	349	25	results	result	NOUN
ejpam-5784	349	26	of	of	ADP
ejpam-5784	349	27	the	the	DET
ejpam-5784	349	28	fractional	fractional	ADJ
ejpam-5784	349	29	coupled	couple	VERB
ejpam-5784	349	30	cvbe	cvbe	NOUN
ejpam-5784	349	31	system	system	NOUN
ejpam-5784	349	32	(	(	PUNCT
ejpam-5784	349	33	1.2	1.2	NUM
ejpam-5784	349	34	)	)	PUNCT
ejpam-5784	349	35	.	.	PUNCT
ejpam-5784	350	1	ςi	ςi	INTJ
ejpam-5784	350	2	τi	τi	ADP
ejpam-5784	350	3	φ(ς	φ(ς	PROPN
ejpam-5784	350	4	,	,	PUNCT
ejpam-5784	350	5	τ	τ	X
ejpam-5784	350	6	)	)	PUNCT
ejpam-5784	350	7	φ6(ς	φ6(ς	PROPN
ejpam-5784	350	8	,	,	PUNCT
ejpam-5784	350	9	τ	τ	X
ejpam-5784	350	10	)	)	PUNCT
ejpam-5784	350	11	|φ−	|φ−	AUX
ejpam-5784	350	12	φ6|	φ6|	PROPN
ejpam-5784	350	13	φ6(ς	φ6(ς	PROPN
ejpam-5784	350	14	,	,	PUNCT
ejpam-5784	350	15	τ	τ	PROPN
ejpam-5784	350	16	)	)	PUNCT
ejpam-5784	350	17	ρ	ρ	PROPN
ejpam-5784	350	18	=	=	SYM
ejpam-5784	350	19	0.9	0.9	NUM
ejpam-5784	350	20	ρ	ρ	NOUN
ejpam-5784	350	21	=	=	NUM
ejpam-5784	350	22	0.8	0.8	NUM
ejpam-5784	350	23	ρ	ρ	NOUN
ejpam-5784	350	24	=	=	NOUN
ejpam-5784	350	25	0.7	0.7	NUM
ejpam-5784	350	26	3	3	NUM
ejpam-5784	350	27	0.5	0.5	NUM
ejpam-5784	350	28	0.0855936116	0.0855936116	NUM
ejpam-5784	350	29	0.08559381738	0.08559381738	NUM
ejpam-5784	350	30	2.5081×	2.5081×	NUM
ejpam-5784	350	31	10−7	10−7	NUM
ejpam-5784	350	32	0.08221970849	0.08221970849	NUM
ejpam-5784	350	33	0.07936203908	0.07936203908	NUM
ejpam-5784	351	1	0.07706652200	0.07706652200	NUM
ejpam-5784	351	2	1.0	1.0	NUM
ejpam-5784	351	3	0.0519151497	0.0519151497	NUM
ejpam-5784	351	4	0.05194000296	0.05194000296	NUM
ejpam-5784	351	5	2.4853×	2.4853×	NUM
ejpam-5784	351	6	10−5	10−5	NUM
ejpam-5784	351	7	0.05316525164	0.05316525164	NUM
ejpam-5784	351	8	0.05493971096	0.05493971096	NUM
ejpam-5784	351	9	0.05746574405	0.05746574405	NUM
ejpam-5784	351	10	1.5	1.5	NUM
ejpam-5784	351	11	0.0314881299	0.0314881299	NUM
ejpam-5784	351	12	0.03188981432	0.03188981432	NUM
ejpam-5784	351	13	4.01684×	4.01684×	NUM
ejpam-5784	351	14	10−4	10−4	NUM
ejpam-5784	351	15	0.03720797799	0.03720797799	NUM
ejpam-5784	351	16	0.03449808776	0.03449808776	NUM
ejpam-5784	351	17	0.05198482368	0.05198482368	NUM
ejpam-5784	351	18	2.0	2.0	NUM
ejpam-5784	351	19	0.0190985163	0.0190985163	NUM
ejpam-5784	351	20	0.02195200125	0.02195200125	NUM
ejpam-5784	351	21	2.85348×	2.85348×	NUM
ejpam-5784	351	22	10−3	10−3	NUM
ejpam-5784	351	23	0.03217494285	0.03217494285	NUM
ejpam-5784	351	24	0.04573073471	0.04573073471	NUM
ejpam-5784	351	25	0.06505821149	0.06505821149	NUM
ejpam-5784	351	26	5	5	NUM
ejpam-5784	351	27	0.5	0.5	NUM
ejpam-5784	351	28	-0.581616973	-0.581616973	NOUN
ejpam-5784	351	29	-0.5816183713	-0.5816183713	VERB
ejpam-5784	351	30	1.39844×	1.39844×	PROPN
ejpam-5784	351	31	10−6	10−6	NUM
ejpam-5784	351	32	-0.5586909710	-0.5586909710	PROPN
ejpam-5784	351	33	-0.5392728274	-0.5392728274	PROPN
ejpam-5784	351	34	-0.5236745461	-0.5236745461	PROPN
ejpam-5784	351	35	1.0	1.0	NUM
ejpam-5784	351	36	-0.352768526	-0.352768526	NOUN
ejpam-5784	351	37	-0.3529374066	-0.3529374066	NOUN
ejpam-5784	351	38	1.68881×	1.68881×	NUM
ejpam-5784	351	39	10−4	10−4	NUM
ejpam-5784	351	40	-0.3612630913	-0.3612630913	NOUN
ejpam-5784	351	41	-0.3733207162	-0.3733207162	PROPN
ejpam-5784	352	1	-0.3904853814	-0.3904853814	PROPN
ejpam-5784	352	2	1.5	1.5	NUM
ejpam-5784	352	3	-0.213964927	-0.213964927	NOUN
ejpam-5784	352	4	-0.2166944112	-0.2166944112	PROPN
ejpam-5784	353	1	2.72948×	2.72948×	NUM
ejpam-5784	353	2	10−3	10−3	NUM
ejpam-5784	353	3	-0.2528318543	-0.2528318543	NOUN
ejpam-5784	353	4	-0.2955737661	-0.2955737661	ADJ
ejpam-5784	353	5	-0.3532419768	-0.3532419768	VERB
ejpam-5784	353	6	2.0	2.0	NUM
ejpam-5784	353	7	-0.129776288	-0.129776288	ADJ
ejpam-5784	353	8	-0.1491659987	-0.1491659987	PROPN
ejpam-5784	353	9	1.93897×	1.93897×	NUM
ejpam-5784	353	10	10−2	10−2	NUM
ejpam-5784	353	11	-0.2186318875	-0.2186318875	NUM
ejpam-5784	353	12	-0.3107448207	-0.3107448207	NOUN
ejpam-5784	354	1	-0.4420769182	-0.4420769182	PUNCT
ejpam-5784	355	1	[	[	X
ejpam-5784	355	2	a	a	X
ejpam-5784	355	3	]	]	X
ejpam-5784	356	1	[	[	X
ejpam-5784	356	2	b	b	X
ejpam-5784	356	3	]	]	X
ejpam-5784	357	1	[	[	X
ejpam-5784	357	2	c	c	X
ejpam-5784	357	3	]	]	X
ejpam-5784	357	4	[	[	X
ejpam-5784	357	5	d	d	X
ejpam-5784	357	6	]	]	X
ejpam-5784	357	7	figure	figure	NOUN
ejpam-5784	357	8	4	4	NUM
ejpam-5784	357	9	:	:	PUNCT
ejpam-5784	357	10	profile	profile	NOUN
ejpam-5784	357	11	solutions	solution	NOUN
ejpam-5784	357	12	of	of	ADP
ejpam-5784	357	13	the	the	DET
ejpam-5784	357	14	exact	exact	ADJ
ejpam-5784	357	15	and	and	CCONJ
ejpam-5784	357	16	different	different	ADJ
ejpam-5784	357	17	j	j	PROPN
ejpam-5784	357	18	-	-	PUNCT
ejpam-5784	357	19	th	th	VERB
ejpam-5784	357	20	approximate	approximate	ADJ
ejpam-5784	357	21	solutions	solution	NOUN
ejpam-5784	357	22	of	of	ADP
ejpam-5784	357	23	φ(ς	φ(ς	PROPN
ejpam-5784	357	24	,	,	PUNCT
ejpam-5784	357	25	τ	τ	X
ejpam-5784	357	26	)	)	PUNCT
ejpam-5784	357	27	at	at	ADP
ejpam-5784	357	28	various	various	ADJ
ejpam-5784	357	29	values	value	NOUN
ejpam-5784	357	30	of	of	ADP
ejpam-5784	357	31	ρ	ρ	NOUN
ejpam-5784	357	32	:	:	PUNCT
ejpam-5784	357	33	(	(	PUNCT
ejpam-5784	357	34	a	a	NOUN
ejpam-5784	357	35	)	)	PUNCT
ejpam-5784	357	36	j	j	NOUN
ejpam-5784	357	37	=	=	SYM
ejpam-5784	357	38	6	6	NUM
ejpam-5784	357	39	,	,	PUNCT
ejpam-5784	357	40	(	(	PUNCT
ejpam-5784	357	41	b	b	X
ejpam-5784	357	42	)	)	PUNCT
ejpam-5784	357	43	j	j	NOUN
ejpam-5784	358	1	=	=	SYM
ejpam-5784	358	2	5	5	NUM
ejpam-5784	358	3	,	,	PUNCT
ejpam-5784	358	4	(	(	PUNCT
ejpam-5784	358	5	c	c	X
ejpam-5784	358	6	)	)	PUNCT
ejpam-5784	358	7	j	j	NOUN
ejpam-5784	359	1	=	=	SYM
ejpam-5784	359	2	4	4	NUM
ejpam-5784	359	3	,	,	PUNCT
ejpam-5784	359	4	and	and	CCONJ
ejpam-5784	359	5	(	(	PUNCT
ejpam-5784	359	6	d	d	X
ejpam-5784	359	7	)	)	PUNCT
ejpam-5784	359	8	j	j	NOUN
ejpam-5784	360	1	=	=	SYM
ejpam-5784	360	2	3	3	NUM
ejpam-5784	360	3	,	,	PUNCT
ejpam-5784	360	4	where	where	SCONJ
ejpam-5784	360	5	ς	ς	PROPN
ejpam-5784	360	6	=	=	SYM
ejpam-5784	360	7	3	3	NUM
ejpam-5784	360	8	and	and	CCONJ
ejpam-5784	360	9	τ	τ	PROPN
ejpam-5784	360	10	∈	∈	PROPN
ejpam-5784	361	1	[	[	X
ejpam-5784	361	2	0	0	NUM
ejpam-5784	361	3	,	,	PUNCT
ejpam-5784	361	4	1	1	NUM
ejpam-5784	361	5	]	]	PUNCT
ejpam-5784	361	6	.	.	PUNCT
ejpam-5784	362	1	m.	m.	PROPN
ejpam-5784	362	2	alaroud	alaroud	PROPN
ejpam-5784	362	3	,	,	PUNCT
ejpam-5784	362	4	f.	f.	PROPN
ejpam-5784	362	5	aldosari	aldosari	PROPN
ejpam-5784	362	6	/	/	SYM
ejpam-5784	362	7	eur	eur	PROPN
ejpam-5784	362	8	.	.	PUNCT
ejpam-5784	363	1	j.	j.	PROPN
ejpam-5784	363	2	pure	pure	PROPN
ejpam-5784	363	3	appl	appl	PROPN
ejpam-5784	363	4	.	.	PROPN
ejpam-5784	363	5	math	math	PROPN
ejpam-5784	363	6	,	,	PUNCT
ejpam-5784	363	7	18	18	NUM
ejpam-5784	363	8	(	(	PUNCT
ejpam-5784	363	9	1	1	NUM
ejpam-5784	363	10	)	)	PUNCT
ejpam-5784	363	11	(	(	PUNCT
ejpam-5784	363	12	2025	2025	NUM
ejpam-5784	363	13	)	)	PUNCT
ejpam-5784	363	14	,	,	PUNCT
ejpam-5784	363	15	5784	5784	NUM
ejpam-5784	363	16	21	21	NUM
ejpam-5784	363	17	of	of	ADP
ejpam-5784	363	18	25	25	NUM
ejpam-5784	364	1	[	[	X
ejpam-5784	364	2	a	a	X
ejpam-5784	364	3	]	]	X
ejpam-5784	364	4	[	[	X
ejpam-5784	364	5	b	b	X
ejpam-5784	364	6	]	]	X
ejpam-5784	364	7	figure	figure	NOUN
ejpam-5784	364	8	5	5	NUM
ejpam-5784	364	9	:	:	PUNCT
ejpam-5784	364	10	profile	profile	NOUN
ejpam-5784	364	11	solutions	solution	NOUN
ejpam-5784	364	12	of	of	ADP
ejpam-5784	364	13	the	the	DET
ejpam-5784	364	14	6	6	NUM
ejpam-5784	364	15	-	-	PUNCT
ejpam-5784	364	16	th	th	VERB
ejpam-5784	364	17	truncation	truncation	NOUN
ejpam-5784	364	18	approximate	approximate	ADJ
ejpam-5784	364	19	solutions	solution	NOUN
ejpam-5784	364	20	φ6	φ6	NOUN
ejpam-5784	364	21	(	(	PUNCT
ejpam-5784	364	22	ς	ς	PROPN
ejpam-5784	364	23	,	,	PUNCT
ejpam-5784	364	24	τ	τ	PROPN
ejpam-5784	364	25	)	)	PUNCT
ejpam-5784	364	26	and	and	CCONJ
ejpam-5784	364	27	ψ6	ψ6	PROPN
ejpam-5784	364	28	(	(	PUNCT
ejpam-5784	364	29	ς	ς	PROPN
ejpam-5784	364	30	,	,	PUNCT
ejpam-5784	364	31	τ	τ	PROPN
ejpam-5784	364	32	)	)	PUNCT
ejpam-5784	364	33	at	at	ADP
ejpam-5784	364	34	various	various	ADJ
ejpam-5784	364	35	values	value	NOUN
ejpam-5784	364	36	of	of	ADP
ejpam-5784	364	37	ρ	ρ	PROPN
ejpam-5784	364	38	,	,	PUNCT
ejpam-5784	364	39	with	with	ADP
ejpam-5784	364	40	fixed	fix	VERB
ejpam-5784	364	41	τ	τ	X
ejpam-5784	364	42	=	=	SYM
ejpam-5784	364	43	3	3	NUM
ejpam-5784	364	44	and	and	CCONJ
ejpam-5784	364	45	−5	−5	ADV
ejpam-5784	364	46	≤	≤	NUM
ejpam-5784	364	47	ς	ς	PROPN
ejpam-5784	364	48	≤	≤	NUM
ejpam-5784	364	49	5	5	NUM
ejpam-5784	364	50	5	5	NUM
ejpam-5784	364	51	.	.	PUNCT
ejpam-5784	365	1	conclusions	conclusion	NOUN
ejpam-5784	365	2	in	in	ADP
ejpam-5784	365	3	the	the	DET
ejpam-5784	365	4	present	present	ADJ
ejpam-5784	365	5	disquisition	disquisition	NOUN
ejpam-5784	365	6	,	,	PUNCT
ejpam-5784	365	7	the	the	DET
ejpam-5784	365	8	lt	lt	PROPN
ejpam-5784	365	9	-	-	PUNCT
ejpam-5784	365	10	rfps	rfps	NOUN
ejpam-5784	365	11	technique	technique	NOUN
ejpam-5784	365	12	was	be	AUX
ejpam-5784	365	13	proposed	propose	VERB
ejpam-5784	365	14	to	to	PART
ejpam-5784	365	15	investigate	investigate	VERB
ejpam-5784	365	16	the	the	DET
ejpam-5784	365	17	non	non	ADJ
ejpam-5784	365	18	-	-	ADJ
ejpam-5784	365	19	linear	linear	ADJ
ejpam-5784	365	20	time	time	NOUN
ejpam-5784	365	21	-	-	PUNCT
ejpam-5784	365	22	fractional	fractional	ADJ
ejpam-5784	365	23	ds	ds	NOUN
ejpam-5784	365	24	-	-	PUNCT
ejpam-5784	365	25	we	we	PRON
ejpam-5784	365	26	and	and	CCONJ
ejpam-5784	365	27	cvbe	cvbe	PROPN
ejpam-5784	365	28	systems	system	NOUN
ejpam-5784	365	29	.	.	PUNCT
ejpam-5784	366	1	the	the	DET
ejpam-5784	366	2	caputo	caputo	PROPN
ejpam-5784	366	3	-	-	PUNCT
ejpam-5784	366	4	fd	fd	PROPN
ejpam-5784	366	5	as	as	ADP
ejpam-5784	366	6	a	a	DET
ejpam-5784	366	7	time	time	NOUN
ejpam-5784	366	8	-	-	PUNCT
ejpam-5784	366	9	fractional	fractional	ADJ
ejpam-5784	366	10	approach	approach	NOUN
ejpam-5784	366	11	was	be	AUX
ejpam-5784	366	12	used	use	VERB
ejpam-5784	366	13	for	for	ADP
ejpam-5784	366	14	the	the	DET
ejpam-5784	366	15	mathematical	mathematical	ADJ
ejpam-5784	366	16	formalism	formalism	NOUN
ejpam-5784	366	17	of	of	ADP
ejpam-5784	366	18	these	these	DET
ejpam-5784	366	19	models	model	NOUN
ejpam-5784	366	20	.	.	PUNCT
ejpam-5784	367	1	the	the	DET
ejpam-5784	367	2	strategy	strategy	NOUN
ejpam-5784	367	3	of	of	ADP
ejpam-5784	367	4	the	the	DET
ejpam-5784	367	5	projected	project	VERB
ejpam-5784	367	6	technique	technique	NOUN
ejpam-5784	367	7	is	be	AUX
ejpam-5784	367	8	regarded	regard	VERB
ejpam-5784	367	9	as	as	ADP
ejpam-5784	367	10	more	more	ADV
ejpam-5784	367	11	effective	effective	ADJ
ejpam-5784	367	12	than	than	ADP
ejpam-5784	367	13	other	other	ADJ
ejpam-5784	367	14	analytical	analytical	ADJ
ejpam-5784	367	15	schemes	scheme	NOUN
ejpam-5784	367	16	because	because	SCONJ
ejpam-5784	367	17	of	of	ADP
ejpam-5784	367	18	its	its	PRON
ejpam-5784	367	19	limited	limited	ADJ
ejpam-5784	367	20	number	number	NOUN
ejpam-5784	367	21	of	of	ADP
ejpam-5784	367	22	approximations	approximation	NOUN
ejpam-5784	367	23	.	.	PUNCT
ejpam-5784	368	1	the	the	DET
ejpam-5784	368	2	employed	employ	VERB
ejpam-5784	368	3	technique	technique	NOUN
ejpam-5784	368	4	involves	involve	VERB
ejpam-5784	368	5	performing	perform	VERB
ejpam-5784	368	6	the	the	DET
ejpam-5784	368	7	lt	lt	NOUN
ejpam-5784	368	8	explicitly	explicitly	ADV
ejpam-5784	368	9	to	to	ADP
ejpam-5784	368	10	the	the	DET
ejpam-5784	368	11	governing	govern	VERB
ejpam-5784	368	12	models	model	NOUN
ejpam-5784	368	13	and	and	CCONJ
ejpam-5784	368	14	then	then	ADV
ejpam-5784	368	15	simulating	simulate	VERB
ejpam-5784	368	16	the	the	DET
ejpam-5784	368	17	frps	frps	NOUN
ejpam-5784	368	18	algorithm	algorithm	NOUN
ejpam-5784	368	19	in	in	ADP
ejpam-5784	368	20	a	a	DET
ejpam-5784	368	21	new	new	ADJ
ejpam-5784	368	22	space	space	NOUN
ejpam-5784	368	23	.	.	PUNCT
ejpam-5784	369	1	the	the	DET
ejpam-5784	369	2	inverse	inverse	NOUN
ejpam-5784	369	3	lt	lt	PRON
ejpam-5784	369	4	is	be	AUX
ejpam-5784	369	5	then	then	ADV
ejpam-5784	369	6	implemented	implement	VERB
ejpam-5784	369	7	to	to	PART
ejpam-5784	369	8	find	find	VERB
ejpam-5784	369	9	out	out	ADP
ejpam-5784	369	10	the	the	DET
ejpam-5784	369	11	approximate	approximate	ADJ
ejpam-5784	369	12	solutions	solution	NOUN
ejpam-5784	369	13	of	of	ADP
ejpam-5784	369	14	the	the	DET
ejpam-5784	369	15	studied	study	VERB
ejpam-5784	369	16	models	model	NOUN
ejpam-5784	369	17	.	.	PUNCT
ejpam-5784	370	1	the	the	DET
ejpam-5784	370	2	capabilities	capability	NOUN
ejpam-5784	370	3	of	of	ADP
ejpam-5784	370	4	the	the	DET
ejpam-5784	370	5	proposed	propose	VERB
ejpam-5784	370	6	approach	approach	NOUN
ejpam-5784	370	7	have	have	AUX
ejpam-5784	370	8	been	be	AUX
ejpam-5784	370	9	demonstrated	demonstrate	VERB
ejpam-5784	370	10	through	through	ADP
ejpam-5784	370	11	numerical	numerical	PROPN
ejpam-5784	370	12	simulation	simulation	PROPN
ejpam-5784	370	13	.	.	PUNCT
ejpam-5784	371	1	this	this	DET
ejpam-5784	371	2	simulation	simulation	NOUN
ejpam-5784	371	3	finds	find	VERB
ejpam-5784	371	4	that	that	SCONJ
ejpam-5784	371	5	the	the	DET
ejpam-5784	371	6	target	target	NOUN
ejpam-5784	371	7	model	model	NOUN
ejpam-5784	371	8	’s	’s	PART
ejpam-5784	371	9	solutions	solution	NOUN
ejpam-5784	371	10	are	be	AUX
ejpam-5784	371	11	astonishingly	astonishingly	ADV
ejpam-5784	371	12	near	near	ADV
ejpam-5784	371	13	to	to	ADP
ejpam-5784	371	14	the	the	DET
ejpam-5784	371	15	provided	provide	VERB
ejpam-5784	371	16	exact	exact	ADJ
ejpam-5784	371	17	solutions	solution	NOUN
ejpam-5784	371	18	when	when	SCONJ
ejpam-5784	371	19	the	the	DET
ejpam-5784	371	20	time	time	NOUN
ejpam-5784	371	21	value	value	NOUN
ejpam-5784	371	22	is	be	AUX
ejpam-5784	371	23	decreased	decrease	VERB
ejpam-5784	371	24	.	.	PUNCT
ejpam-5784	372	1	additionally	additionally	ADV
ejpam-5784	372	2	,	,	PUNCT
ejpam-5784	372	3	the	the	DET
ejpam-5784	372	4	amplitude	amplitude	NOUN
ejpam-5784	372	5	of	of	ADP
ejpam-5784	372	6	the	the	DET
ejpam-5784	372	7	model	model	NOUN
ejpam-5784	372	8	’s	’s	PART
ejpam-5784	372	9	solitary	solitary	ADJ
ejpam-5784	372	10	wave	wave	NOUN
ejpam-5784	372	11	increases	increase	NOUN
ejpam-5784	372	12	as	as	SCONJ
ejpam-5784	372	13	the	the	DET
ejpam-5784	372	14	value	value	NOUN
ejpam-5784	372	15	of	of	ADP
ejpam-5784	372	16	parameter	parameter	PROPN
ejpam-5784	372	17	ρ	ρ	PROPN
ejpam-5784	372	18	is	be	AUX
ejpam-5784	372	19	lessened	lessen	VERB
ejpam-5784	372	20	.	.	PUNCT
ejpam-5784	373	1	as	as	ADV
ejpam-5784	373	2	well	well	ADV
ejpam-5784	373	3	,	,	PUNCT
ejpam-5784	373	4	the	the	DET
ejpam-5784	373	5	results	result	NOUN
ejpam-5784	373	6	show	show	VERB
ejpam-5784	373	7	that	that	SCONJ
ejpam-5784	373	8	for	for	ADP
ejpam-5784	373	9	small	small	ADJ
ejpam-5784	373	10	values	value	NOUN
ejpam-5784	373	11	of	of	ADP
ejpam-5784	373	12	the	the	DET
ejpam-5784	373	13	time	time	NOUN
ejpam-5784	373	14	variable	variable	NOUN
ejpam-5784	373	15	,	,	PUNCT
ejpam-5784	373	16	the	the	DET
ejpam-5784	373	17	absolute	absolute	ADJ
ejpam-5784	373	18	error	error	NOUN
ejpam-5784	373	19	becomes	become	VERB
ejpam-5784	373	20	fewer	few	ADJ
ejpam-5784	373	21	with	with	ADP
ejpam-5784	373	22	increasing	increase	VERB
ejpam-5784	373	23	the	the	DET
ejpam-5784	373	24	space	space	NOUN
ejpam-5784	373	25	variable	variable	ADJ
ejpam-5784	373	26	values	value	NOUN
ejpam-5784	373	27	.	.	PUNCT
ejpam-5784	374	1	on	on	ADP
ejpam-5784	374	2	another	another	DET
ejpam-5784	374	3	aspect	aspect	NOUN
ejpam-5784	374	4	,	,	PUNCT
ejpam-5784	374	5	the	the	DET
ejpam-5784	374	6	impact	impact	NOUN
ejpam-5784	374	7	of	of	ADP
ejpam-5784	374	8	varied	varied	ADJ
ejpam-5784	374	9	values	value	NOUN
ejpam-5784	374	10	of	of	ADP
ejpam-5784	374	11	the	the	DET
ejpam-5784	374	12	parameter	parameter	NOUN
ejpam-5784	374	13	ρ	ρ	PROPN
ejpam-5784	374	14	,	,	PUNCT
ejpam-5784	374	15	and	and	CCONJ
ejpam-5784	374	16	changing	change	VERB
ejpam-5784	374	17	the	the	DET
ejpam-5784	374	18	values	value	NOUN
ejpam-5784	374	19	of	of	ADP
ejpam-5784	374	20	space	space	NOUN
ejpam-5784	374	21	and	and	CCONJ
ejpam-5784	374	22	time	time	NOUN
ejpam-5784	374	23	considered	consider	VERB
ejpam-5784	374	24	domain	domain	NOUN
ejpam-5784	374	25	on	on	ADP
ejpam-5784	374	26	the	the	DET
ejpam-5784	374	27	posed	pose	VERB
ejpam-5784	374	28	models	model	NOUN
ejpam-5784	374	29	has	have	AUX
ejpam-5784	374	30	been	be	AUX
ejpam-5784	374	31	discussed	discuss	VERB
ejpam-5784	374	32	graphically	graphically	ADV
ejpam-5784	374	33	.	.	PUNCT
ejpam-5784	375	1	from	from	ADP
ejpam-5784	375	2	these	these	DET
ejpam-5784	375	3	representations	representation	NOUN
ejpam-5784	375	4	,	,	PUNCT
ejpam-5784	375	5	it	it	PRON
ejpam-5784	375	6	is	be	AUX
ejpam-5784	375	7	seen	see	VERB
ejpam-5784	375	8	that	that	SCONJ
ejpam-5784	375	9	the	the	DET
ejpam-5784	375	10	behavior	behavior	NOUN
ejpam-5784	375	11	of	of	ADP
ejpam-5784	375	12	the	the	DET
ejpam-5784	375	13	obtained	obtain	VERB
ejpam-5784	375	14	solutions	solution	NOUN
ejpam-5784	375	15	is	be	AUX
ejpam-5784	375	16	consistent	consistent	ADJ
ejpam-5784	375	17	with	with	ADP
ejpam-5784	375	18	the	the	DET
ejpam-5784	375	19	integer	integer	NOUN
ejpam-5784	375	20	value	value	NOUN
ejpam-5784	375	21	and	and	CCONJ
ejpam-5784	375	22	harmonious	harmonious	ADJ
ejpam-5784	375	23	for	for	ADP
ejpam-5784	375	24	various	various	ADJ
ejpam-5784	375	25	fractional	fractional	ADJ
ejpam-5784	375	26	values	value	NOUN
ejpam-5784	375	27	of	of	ADP
ejpam-5784	375	28	ρ	ρ	PROPN
ejpam-5784	375	29	.	.	PUNCT
ejpam-5784	376	1	as	as	ADP
ejpam-5784	376	2	a	a	DET
ejpam-5784	376	3	result	result	NOUN
ejpam-5784	376	4	,	,	PUNCT
ejpam-5784	376	5	it	it	PRON
ejpam-5784	376	6	can	can	AUX
ejpam-5784	376	7	be	be	AUX
ejpam-5784	376	8	claimed	claim	VERB
ejpam-5784	376	9	that	that	SCONJ
ejpam-5784	376	10	the	the	DET
ejpam-5784	376	11	lt	lt	PROPN
ejpam-5784	376	12	-	-	PUNCT
ejpam-5784	376	13	rfps	rfps	NOUN
ejpam-5784	376	14	technique	technique	NOUN
ejpam-5784	376	15	is	be	AUX
ejpam-5784	376	16	indeed	indeed	ADV
ejpam-5784	376	17	effective	effective	ADJ
ejpam-5784	376	18	and	and	CCONJ
ejpam-5784	376	19	suitable	suitable	ADJ
ejpam-5784	376	20	to	to	PART
ejpam-5784	376	21	solve	solve	VERB
ejpam-5784	376	22	such	such	ADJ
ejpam-5784	376	23	models	model	NOUN
ejpam-5784	376	24	.	.	PUNCT
ejpam-5784	377	1	consequently	consequently	ADV
ejpam-5784	377	2	,	,	PUNCT
ejpam-5784	377	3	due	due	ADP
ejpam-5784	377	4	to	to	ADP
ejpam-5784	377	5	its	its	PRON
ejpam-5784	377	6	accuracy	accuracy	NOUN
ejpam-5784	377	7	,	,	PUNCT
ejpam-5784	377	8	and	and	CCONJ
ejpam-5784	377	9	straightforwardness	straightforwardness	NOUN
ejpam-5784	377	10	and	and	CCONJ
ejpam-5784	377	11	minimal	minimal	ADJ
ejpam-5784	377	12	calculation	calculation	NOUN
ejpam-5784	377	13	effort	effort	NOUN
ejpam-5784	377	14	,	,	PUNCT
ejpam-5784	377	15	we	we	PRON
ejpam-5784	377	16	recommend	recommend	VERB
ejpam-5784	377	17	employing	employ	VERB
ejpam-5784	377	18	the	the	DET
ejpam-5784	377	19	future	future	ADJ
ejpam-5784	377	20	technique	technique	NOUN
ejpam-5784	377	21	in	in	ADP
ejpam-5784	377	22	investigations	investigation	NOUN
ejpam-5784	377	23	of	of	ADP
ejpam-5784	377	24	fractional	fractional	ADJ
ejpam-5784	377	25	models	model	NOUN
ejpam-5784	377	26	in	in	ADP
ejpam-5784	377	27	mathematical	mathematical	ADJ
ejpam-5784	377	28	physics	physics	NOUN
ejpam-5784	377	29	and	and	CCONJ
ejpam-5784	377	30	engineering	engineering	NOUN
ejpam-5784	377	31	.	.	PUNCT
ejpam-5784	378	1	ideally	ideally	ADV
ejpam-5784	378	2	,	,	PUNCT
ejpam-5784	378	3	this	this	DET
ejpam-5784	378	4	investigation	investigation	NOUN
ejpam-5784	378	5	will	will	AUX
ejpam-5784	378	6	be	be	AUX
ejpam-5784	378	7	helpful	helpful	ADJ
ejpam-5784	378	8	to	to	ADP
ejpam-5784	378	9	scholars	scholar	NOUN
ejpam-5784	378	10	,	,	PUNCT
ejpam-5784	378	11	in	in	ADP
ejpam-5784	378	12	the	the	DET
ejpam-5784	378	13	future	future	NOUN
ejpam-5784	378	14	,	,	PUNCT
ejpam-5784	378	15	to	to	PART
ejpam-5784	378	16	treat	treat	VERB
ejpam-5784	378	17	higher	high	ADJ
ejpam-5784	378	18	dimensions	dimension	NOUN
ejpam-5784	378	19	complex	complex	ADJ
ejpam-5784	378	20	nonlinear	nonlinear	ADJ
ejpam-5784	378	21	spacetime	spacetime	NOUN
ejpam-5784	378	22	partial	partial	PROPN
ejpam-5784	378	23	des	des	X
ejpam-5784	378	24	in	in	ADP
ejpam-5784	378	25	the	the	DET
ejpam-5784	378	26	framework	framework	NOUN
ejpam-5784	378	27	of	of	ADP
ejpam-5784	378	28	the	the	DET
ejpam-5784	378	29	conformable	conformable	ADJ
ejpam-5784	378	30	rfps	rfps	NOUN
ejpam-5784	378	31	technique	technique	NOUN
ejpam-5784	378	32	methodology	methodology	NOUN
ejpam-5784	378	33	and	and	CCONJ
ejpam-5784	378	34	linking	link	VERB
ejpam-5784	378	35	it	it	PRON
ejpam-5784	378	36	to	to	ADP
ejpam-5784	378	37	one	one	NUM
ejpam-5784	378	38	of	of	ADP
ejpam-5784	378	39	the	the	DET
ejpam-5784	378	40	well	well	ADV
ejpam-5784	378	41	-	-	PUNCT
ejpam-5784	378	42	known	know	VERB
ejpam-5784	378	43	integral	integral	ADJ
ejpam-5784	378	44	transformations	transformation	NOUN
ejpam-5784	378	45	.	.	PUNCT
ejpam-5784	379	1	conflict	conflict	NOUN
ejpam-5784	379	2	of	of	ADP
ejpam-5784	379	3	interest	interest	NOUN
ejpam-5784	379	4	the	the	DET
ejpam-5784	379	5	authors	author	NOUN
ejpam-5784	379	6	declare	declare	VERB
ejpam-5784	379	7	no	no	DET
ejpam-5784	379	8	conflict	conflict	NOUN
ejpam-5784	379	9	of	of	ADP
ejpam-5784	379	10	interest	interest	NOUN
ejpam-5784	379	11	.	.	PUNCT
ejpam-5784	380	1	m.	m.	PROPN
ejpam-5784	380	2	alaroud	alaroud	PROPN
ejpam-5784	380	3	,	,	PUNCT
ejpam-5784	380	4	f.	f.	PROPN
ejpam-5784	380	5	aldosari	aldosari	PROPN
ejpam-5784	380	6	/	/	SYM
ejpam-5784	380	7	eur	eur	PROPN
ejpam-5784	380	8	.	.	PUNCT
ejpam-5784	381	1	j.	j.	PROPN
ejpam-5784	381	2	pure	pure	PROPN
ejpam-5784	381	3	appl	appl	PROPN
ejpam-5784	381	4	.	.	PROPN
ejpam-5784	381	5	math	math	PROPN
ejpam-5784	381	6	,	,	PUNCT
ejpam-5784	381	7	18	18	NUM
ejpam-5784	381	8	(	(	PUNCT
ejpam-5784	381	9	1	1	NUM
ejpam-5784	381	10	)	)	PUNCT
ejpam-5784	381	11	(	(	PUNCT
ejpam-5784	381	12	2025	2025	NUM
ejpam-5784	381	13	)	)	PUNCT
ejpam-5784	381	14	,	,	PUNCT
ejpam-5784	381	15	5784	5784	NUM
ejpam-5784	381	16	22	22	NUM
ejpam-5784	381	17	of	of	ADP
ejpam-5784	381	18	25	25	NUM
ejpam-5784	381	19	acknowledgements	acknowledgement	NOUN
ejpam-5784	381	20	the	the	DET
ejpam-5784	381	21	authors	author	NOUN
ejpam-5784	381	22	deeply	deeply	ADV
ejpam-5784	381	23	appreciate	appreciate	VERB
ejpam-5784	381	24	the	the	DET
ejpam-5784	381	25	editor	editor	NOUN
ejpam-5784	381	26	and	and	CCONJ
ejpam-5784	381	27	anonymous	anonymous	ADJ
ejpam-5784	381	28	reviewers	reviewer	NOUN
ejpam-5784	381	29	’	’	PART
ejpam-5784	381	30	thoughtful	thoughtful	ADJ
ejpam-5784	381	31	comments	comment	NOUN
ejpam-5784	381	32	and	and	CCONJ
ejpam-5784	381	33	extend	extend	VERB
ejpam-5784	381	34	their	their	PRON
ejpam-5784	381	35	heartfelt	heartfelt	ADJ
ejpam-5784	381	36	thanks	thank	NOUN
ejpam-5784	381	37	to	to	ADP
ejpam-5784	381	38	the	the	DET
ejpam-5784	381	39	deanship	deanship	NOUN
ejpam-5784	381	40	of	of	ADP
ejpam-5784	381	41	scientific	scientific	ADJ
ejpam-5784	381	42	research	research	NOUN
ejpam-5784	381	43	at	at	ADP
ejpam-5784	381	44	shaqra	shaqra	PROPN
ejpam-5784	381	45	university	university	PROPN
ejpam-5784	381	46	for	for	ADP
ejpam-5784	381	47	supporting	support	VERB
ejpam-5784	381	48	the	the	DET
ejpam-5784	381	49	publication	publication	NOUN
ejpam-5784	381	50	of	of	ADP
ejpam-5784	381	51	this	this	DET
ejpam-5784	381	52	work	work	NOUN
ejpam-5784	381	53	.	.	PUNCT
ejpam-5784	382	1	references	reference	NOUN
ejpam-5784	382	2	[	[	X
ejpam-5784	382	3	1	1	X
ejpam-5784	382	4	]	]	PUNCT
ejpam-5784	382	5	s.	s.	PROPN
ejpam-5784	382	6	a.	a.	PROPN
ejpam-5784	382	7	abdelhafeez	abdelhafeez	PROPN
ejpam-5784	382	8	,	,	PUNCT
ejpam-5784	382	9	a.	a.	PROPN
ejpam-5784	382	10	a.	a.	PROPN
ejpam-5784	382	11	arafa	arafa	PROPN
ejpam-5784	382	12	,	,	PUNCT
ejpam-5784	382	13	y.	y.	PROPN
ejpam-5784	382	14	h.	h.	PROPN
ejpam-5784	382	15	zahran	zahran	PROPN
ejpam-5784	382	16	,	,	PUNCT
ejpam-5784	382	17	i.	i.	PROPN
ejpam-5784	382	18	s.	s.	PROPN
ejpam-5784	382	19	osman	osman	PROPN
ejpam-5784	382	20	,	,	PUNCT
ejpam-5784	382	21	and	and	CCONJ
ejpam-5784	382	22	m.	m.	PROPN
ejpam-5784	382	23	ramadan	ramadan	PROPN
ejpam-5784	382	24	.	.	PUNCT
ejpam-5784	383	1	adapting	adapt	VERB
ejpam-5784	383	2	laplace	laplace	NOUN
ejpam-5784	383	3	residual	residual	ADJ
ejpam-5784	383	4	power	power	NOUN
ejpam-5784	383	5	series	series	NOUN
ejpam-5784	383	6	approach	approach	NOUN
ejpam-5784	383	7	to	to	ADP
ejpam-5784	383	8	the	the	DET
ejpam-5784	383	9	caudrey	caudrey	PROPN
ejpam-5784	383	10	dodd	dodd	PROPN
ejpam-5784	383	11	gibbon	gibbon	PROPN
ejpam-5784	383	12	equation	equation	NOUN
ejpam-5784	383	13	.	.	PUNCT
ejpam-5784	384	1	scientific	scientific	ADJ
ejpam-5784	384	2	reports	report	NOUN
ejpam-5784	384	3	,	,	PUNCT
ejpam-5784	384	4	14(1):9772	14(1):9772	NUM
ejpam-5784	384	5	,	,	PUNCT
ejpam-5784	384	6	2024	2024	NUM
ejpam-5784	384	7	.	.	PUNCT
ejpam-5784	385	1	[	[	X
ejpam-5784	385	2	2	2	NUM
ejpam-5784	385	3	]	]	PUNCT
ejpam-5784	385	4	m.	m.	NOUN
ejpam-5784	385	5	ali	ali	PROPN
ejpam-5784	385	6	akbar	akbar	PROPN
ejpam-5784	385	7	,	,	PUNCT
ejpam-5784	385	8	norhashidah	norhashidah	PROPN
ejpam-5784	385	9	hj	hj	PROPN
ejpam-5784	385	10	.	.	PUNCT
ejpam-5784	386	1	mohd	mohd	PROPN
ejpam-5784	386	2	.	.	PROPN
ejpam-5784	386	3	ali	ali	PROPN
ejpam-5784	386	4	,	,	PUNCT
ejpam-5784	386	5	and	and	CCONJ
ejpam-5784	386	6	m.	m.	PROPN
ejpam-5784	386	7	tarikul	tarikul	PROPN
ejpam-5784	387	1	islam	islam	PROPN
ejpam-5784	387	2	.	.	PUNCT
ejpam-5784	388	1	multiple	multiple	ADJ
ejpam-5784	388	2	closed	close	VERB
ejpam-5784	388	3	form	form	NOUN
ejpam-5784	388	4	solutions	solution	NOUN
ejpam-5784	388	5	to	to	ADP
ejpam-5784	388	6	some	some	DET
ejpam-5784	388	7	fractional	fractional	ADJ
ejpam-5784	388	8	order	order	NOUN
ejpam-5784	388	9	nonlinear	nonlinear	ADJ
ejpam-5784	388	10	evolution	evolution	NOUN
ejpam-5784	388	11	equations	equation	NOUN
ejpam-5784	388	12	in	in	ADP
ejpam-5784	388	13	physics	physics	NOUN
ejpam-5784	388	14	and	and	CCONJ
ejpam-5784	388	15	plasma	plasma	NOUN
ejpam-5784	388	16	physics	physic	NOUN
ejpam-5784	388	17	.	.	PUNCT
ejpam-5784	389	1	aims	aim	VERB
ejpam-5784	389	2	mathematics	mathematic	NOUN
ejpam-5784	389	3	,	,	PUNCT
ejpam-5784	389	4	4(3):397–411	4(3):397–411	NUM
ejpam-5784	389	5	,	,	PUNCT
ejpam-5784	389	6	2019	2019	NUM
ejpam-5784	389	7	.	.	PUNCT
ejpam-5784	390	1	[	[	X
ejpam-5784	390	2	3	3	X
ejpam-5784	390	3	]	]	PUNCT
ejpam-5784	390	4	m.	m.	NOUN
ejpam-5784	390	5	al	al	PROPN
ejpam-5784	390	6	-	-	PUNCT
ejpam-5784	390	7	smadi	smadi	NOUN
ejpam-5784	390	8	.	.	PUNCT
ejpam-5784	391	1	fractional	fractional	ADJ
ejpam-5784	391	2	residual	residual	ADJ
ejpam-5784	391	3	series	series	NOUN
ejpam-5784	391	4	for	for	ADP
ejpam-5784	391	5	conformable	conformable	ADJ
ejpam-5784	391	6	time	time	NOUN
ejpam-5784	391	7	-	-	PUNCT
ejpam-5784	391	8	fractional	fractional	ADJ
ejpam-5784	391	9	sawada	sawada	NOUN
ejpam-5784	391	10	–	–	PUNCT
ejpam-5784	391	11	kotera	kotera	PROPN
ejpam-5784	391	12	–	–	PUNCT
ejpam-5784	391	13	ito	ito	PROPN
ejpam-5784	391	14	,	,	PUNCT
ejpam-5784	391	15	lax	lax	ADJ
ejpam-5784	391	16	,	,	PUNCT
ejpam-5784	391	17	and	and	CCONJ
ejpam-5784	391	18	kaup	kaup	PROPN
ejpam-5784	391	19	–	–	PUNCT
ejpam-5784	391	20	kupershmidt	kupershmidt	ADJ
ejpam-5784	391	21	equations	equation	NOUN
ejpam-5784	391	22	of	of	ADP
ejpam-5784	391	23	seventh	seventh	ADJ
ejpam-5784	391	24	order	order	NOUN
ejpam-5784	391	25	.	.	PUNCT
ejpam-5784	392	1	mathematical	mathematical	ADJ
ejpam-5784	392	2	methods	method	NOUN
ejpam-5784	392	3	in	in	ADP
ejpam-5784	392	4	the	the	DET
ejpam-5784	392	5	applied	apply	VERB
ejpam-5784	392	6	sciences	science	NOUN
ejpam-5784	392	7	,	,	PUNCT
ejpam-5784	392	8	https://doi.org/10.1002/mma.7507	https://doi.org/10.1002/mma.7507	PROPN
ejpam-5784	392	9	,	,	PUNCT
ejpam-5784	392	10	2021	2021	NUM
ejpam-5784	392	11	.	.	PUNCT
ejpam-5784	393	1	[	[	X
ejpam-5784	393	2	4	4	X
ejpam-5784	393	3	]	]	PUNCT
ejpam-5784	393	4	m.	m.	NOUN
ejpam-5784	393	5	al	al	PROPN
ejpam-5784	393	6	-	-	PUNCT
ejpam-5784	393	7	smadi	smadi	PROPN
ejpam-5784	393	8	,	,	PUNCT
ejpam-5784	393	9	s.	s.	PROPN
ejpam-5784	393	10	al	al	PROPN
ejpam-5784	393	11	-	-	PUNCT
ejpam-5784	393	12	omari	omari	PROPN
ejpam-5784	393	13	,	,	PUNCT
ejpam-5784	393	14	y.	y.	PROPN
ejpam-5784	393	15	karaca	karaca	PROPN
ejpam-5784	393	16	,	,	PUNCT
ejpam-5784	393	17	and	and	CCONJ
ejpam-5784	393	18	s.	s.	PROPN
ejpam-5784	393	19	momani	momani	PROPN
ejpam-5784	393	20	.	.	PUNCT
ejpam-5784	394	1	effective	effective	ADJ
ejpam-5784	394	2	analytical	analytical	ADJ
ejpam-5784	394	3	computational	computational	ADJ
ejpam-5784	394	4	technique	technique	NOUN
ejpam-5784	394	5	for	for	ADP
ejpam-5784	394	6	conformable	conformable	ADJ
ejpam-5784	394	7	time	time	NOUN
ejpam-5784	394	8	-	-	PUNCT
ejpam-5784	394	9	fractional	fractional	ADJ
ejpam-5784	394	10	nonlinear	nonlinear	ADJ
ejpam-5784	394	11	gardner	gardner	NOUN
ejpam-5784	394	12	equation	equation	NOUN
ejpam-5784	394	13	and	and	CCONJ
ejpam-5784	394	14	cahn	cahn	NOUN
ejpam-5784	394	15	-	-	PUNCT
ejpam-5784	394	16	hilliard	hilliard	NOUN
ejpam-5784	394	17	equations	equation	NOUN
ejpam-5784	394	18	of	of	ADP
ejpam-5784	394	19	fourth	fourth	ADJ
ejpam-5784	394	20	and	and	CCONJ
ejpam-5784	394	21	sixth	sixth	ADJ
ejpam-5784	394	22	order	order	NOUN
ejpam-5784	394	23	emerging	emerge	VERB
ejpam-5784	394	24	in	in	ADP
ejpam-5784	394	25	dispersive	dispersive	ADJ
ejpam-5784	394	26	media	medium	NOUN
ejpam-5784	394	27	.	.	PUNCT
ejpam-5784	395	1	journal	journal	NOUN
ejpam-5784	395	2	of	of	ADP
ejpam-5784	395	3	function	function	NOUN
ejpam-5784	395	4	spaces	space	NOUN
ejpam-5784	395	5	,	,	PUNCT
ejpam-5784	395	6	page	page	NOUN
ejpam-5784	395	7	4422186	4422186	NUM
ejpam-5784	395	8	,	,	PUNCT
ejpam-5784	395	9	2022	2022	NUM
ejpam-5784	395	10	.	.	PUNCT
ejpam-5784	396	1	[	[	X
ejpam-5784	396	2	5	5	NUM
ejpam-5784	396	3	]	]	PUNCT
ejpam-5784	396	4	m.	m.	NOUN
ejpam-5784	396	5	alaroud	alaroud	PROPN
ejpam-5784	396	6	.	.	PUNCT
ejpam-5784	397	1	application	application	NOUN
ejpam-5784	397	2	of	of	ADP
ejpam-5784	397	3	laplace	laplace	NOUN
ejpam-5784	397	4	residual	residual	ADJ
ejpam-5784	397	5	power	power	NOUN
ejpam-5784	397	6	series	series	PROPN
ejpam-5784	397	7	method	method	NOUN
ejpam-5784	397	8	for	for	ADP
ejpam-5784	397	9	approximate	approximate	ADJ
ejpam-5784	397	10	solutions	solution	NOUN
ejpam-5784	397	11	of	of	ADP
ejpam-5784	397	12	fractional	fractional	ADJ
ejpam-5784	397	13	ivp	ivp	PROPN
ejpam-5784	397	14	’s	’s	NOUN
ejpam-5784	397	15	.	.	PUNCT
ejpam-5784	398	1	alexandria	alexandria	PROPN
ejpam-5784	398	2	engineering	engineering	PROPN
ejpam-5784	398	3	journal	journal	PROPN
ejpam-5784	398	4	,	,	PUNCT
ejpam-5784	398	5	61(2):1585–1595	61(2):1585–1595	NUM
ejpam-5784	398	6	,	,	PUNCT
ejpam-5784	398	7	2022	2022	NUM
ejpam-5784	398	8	.	.	PUNCT
ejpam-5784	399	1	[	[	X
ejpam-5784	399	2	6	6	NUM
ejpam-5784	399	3	]	]	PUNCT
ejpam-5784	399	4	m.	m.	NOUN
ejpam-5784	399	5	alaroud	alaroud	PROPN
ejpam-5784	399	6	,	,	PUNCT
ejpam-5784	399	7	o.	o.	PROPN
ejpam-5784	399	8	ababneh	ababneh	PROPN
ejpam-5784	399	9	,	,	PUNCT
ejpam-5784	399	10	n.	n.	PROPN
ejpam-5784	399	11	tahat	tahat	PROPN
ejpam-5784	399	12	,	,	PUNCT
ejpam-5784	399	13	and	and	CCONJ
ejpam-5784	399	14	s.	s.	PROPN
ejpam-5784	399	15	al	al	PROPN
ejpam-5784	399	16	-	-	PUNCT
ejpam-5784	399	17	omari	omari	PROPN
ejpam-5784	399	18	.	.	PUNCT
ejpam-5784	400	1	analytic	analytic	ADJ
ejpam-5784	400	2	technique	technique	NOUN
ejpam-5784	400	3	for	for	ADP
ejpam-5784	400	4	solving	solve	VERB
ejpam-5784	400	5	temporal	temporal	ADJ
ejpam-5784	400	6	time	time	NOUN
ejpam-5784	400	7	-	-	PUNCT
ejpam-5784	400	8	fractional	fractional	ADJ
ejpam-5784	400	9	gas	gas	NOUN
ejpam-5784	400	10	dynamics	dynamic	NOUN
ejpam-5784	400	11	equations	equation	NOUN
ejpam-5784	400	12	with	with	ADP
ejpam-5784	400	13	caputo	caputo	PROPN
ejpam-5784	400	14	fractional	fractional	PROPN
ejpam-5784	400	15	derivative	derivative	PROPN
ejpam-5784	400	16	.	.	PUNCT
ejpam-5784	401	1	aims	aim	VERB
ejpam-5784	401	2	mathematics	mathematic	NOUN
ejpam-5784	401	3	,	,	PUNCT
ejpam-5784	401	4	7(10):17647–17669	7(10):17647–17669	NUM
ejpam-5784	401	5	,	,	PUNCT
ejpam-5784	401	6	2022	2022	NUM
ejpam-5784	401	7	.	.	PUNCT
ejpam-5784	402	1	[	[	X
ejpam-5784	402	2	7	7	X
ejpam-5784	402	3	]	]	X
ejpam-5784	402	4	m.	m.	NOUN
ejpam-5784	402	5	alaroud	alaroud	PROPN
ejpam-5784	402	6	,	,	PUNCT
ejpam-5784	402	7	m.	m.	NOUN
ejpam-5784	402	8	al	al	PROPN
ejpam-5784	402	9	-	-	PUNCT
ejpam-5784	402	10	smadi	smadi	PROPN
ejpam-5784	402	11	,	,	PUNCT
ejpam-5784	402	12	r.	r.	PROPN
ejpam-5784	402	13	r.	r.	PROPN
ejpam-5784	402	14	ahmad	ahmad	PROPN
ejpam-5784	402	15	,	,	PUNCT
ejpam-5784	402	16	and	and	CCONJ
ejpam-5784	402	17	u.	u.	PROPN
ejpam-5784	402	18	k.	k.	PROPN
ejpam-5784	402	19	salma	salma	PROPN
ejpam-5784	402	20	din	din	PROPN
ejpam-5784	402	21	.	.	PROPN
ejpam-5784	402	22	computational	computational	ADJ
ejpam-5784	402	23	optimization	optimization	NOUN
ejpam-5784	402	24	of	of	ADP
ejpam-5784	402	25	residual	residual	ADJ
ejpam-5784	402	26	power	power	NOUN
ejpam-5784	402	27	series	series	NOUN
ejpam-5784	402	28	algorithm	algorithm	NOUN
ejpam-5784	402	29	for	for	ADP
ejpam-5784	402	30	certain	certain	ADJ
ejpam-5784	402	31	classes	class	NOUN
ejpam-5784	402	32	of	of	ADP
ejpam-5784	402	33	fuzzy	fuzzy	ADJ
ejpam-5784	402	34	fractional	fractional	ADJ
ejpam-5784	402	35	differential	differential	ADJ
ejpam-5784	402	36	equations	equation	NOUN
ejpam-5784	402	37	.	.	PUNCT
ejpam-5784	403	1	international	international	ADJ
ejpam-5784	403	2	journal	journal	PROPN
ejpam-5784	403	3	of	of	ADP
ejpam-5784	403	4	differential	differential	ADJ
ejpam-5784	403	5	equations	equation	NOUN
ejpam-5784	403	6	,	,	PUNCT
ejpam-5784	403	7	2018:8686502	2018:8686502	NUM
ejpam-5784	403	8	,	,	PUNCT
ejpam-5784	403	9	2018	2018	NUM
ejpam-5784	403	10	.	.	PUNCT
ejpam-5784	404	1	[	[	X
ejpam-5784	404	2	8	8	NUM
ejpam-5784	404	3	]	]	PUNCT
ejpam-5784	404	4	m.	m.	NOUN
ejpam-5784	404	5	alaroud	alaroud	PROPN
ejpam-5784	404	6	,	,	PUNCT
ejpam-5784	404	7	m.	m.	NOUN
ejpam-5784	404	8	al	al	PROPN
ejpam-5784	404	9	-	-	PUNCT
ejpam-5784	404	10	smadi	smadi	PROPN
ejpam-5784	404	11	,	,	PUNCT
ejpam-5784	404	12	r.	r.	PROPN
ejpam-5784	404	13	rozita	rozita	PROPN
ejpam-5784	404	14	ahmad	ahmad	PROPN
ejpam-5784	404	15	,	,	PUNCT
ejpam-5784	404	16	and	and	CCONJ
ejpam-5784	404	17	u.	u.	PROPN
ejpam-5784	404	18	k.	k.	PROPN
ejpam-5784	404	19	salma	salma	PROPN
ejpam-5784	404	20	din	din	PROPN
ejpam-5784	404	21	.	.	PUNCT
ejpam-5784	405	1	an	an	DET
ejpam-5784	405	2	analytical	analytical	ADJ
ejpam-5784	405	3	numerical	numerical	ADJ
ejpam-5784	405	4	method	method	NOUN
ejpam-5784	405	5	for	for	ADP
ejpam-5784	405	6	solving	solve	VERB
ejpam-5784	405	7	fuzzy	fuzzy	ADJ
ejpam-5784	405	8	fractional	fractional	PROPN
ejpam-5784	405	9	volterra	volterra	PROPN
ejpam-5784	405	10	integro	integro	PROPN
ejpam-5784	405	11	-	-	PUNCT
ejpam-5784	405	12	differential	differential	NOUN
ejpam-5784	405	13	equations	equation	NOUN
ejpam-5784	405	14	.	.	PUNCT
ejpam-5784	406	1	symmetry	symmetry	PROPN
ejpam-5784	406	2	,	,	PUNCT
ejpam-5784	406	3	11(2):205	11(2):205	NUM
ejpam-5784	406	4	,	,	PUNCT
ejpam-5784	406	5	2019	2019	NUM
ejpam-5784	406	6	.	.	PUNCT
ejpam-5784	407	1	[	[	X
ejpam-5784	407	2	9	9	NUM
ejpam-5784	407	3	]	]	X
ejpam-5784	407	4	h.	h.	PROPN
ejpam-5784	407	5	m.	m.	PROPN
ejpam-5784	407	6	ali	ali	PROPN
ejpam-5784	407	7	,	,	PUNCT
ejpam-5784	407	8	a.	a.	PROPN
ejpam-5784	407	9	s.	s.	PROPN
ejpam-5784	407	10	ali	ali	PROPN
ejpam-5784	407	11	,	,	PUNCT
ejpam-5784	407	12	m.	m.	NOUN
ejpam-5784	407	13	mahmoud	mahmoud	PROPN
ejpam-5784	407	14	,	,	PUNCT
ejpam-5784	407	15	and	and	CCONJ
ejpam-5784	407	16	a.	a.	PROPN
ejpam-5784	407	17	h.	h.	PROPN
ejpam-5784	407	18	abdel	abdel	PROPN
ejpam-5784	407	19	-	-	PUNCT
ejpam-5784	407	20	aty	aty	PROPN
ejpam-5784	407	21	.	.	PROPN
ejpam-5784	407	22	analytical	analytical	ADJ
ejpam-5784	407	23	approximate	approximate	ADJ
ejpam-5784	407	24	solutions	solution	NOUN
ejpam-5784	407	25	of	of	ADP
ejpam-5784	407	26	fractional	fractional	ADJ
ejpam-5784	407	27	nonlinear	nonlinear	PROPN
ejpam-5784	407	28	drinfeld	drinfeld	VERB
ejpam-5784	407	29	–	–	PUNCT
ejpam-5784	407	30	sokolov	sokolov	PROPN
ejpam-5784	407	31	–	–	PUNCT
ejpam-5784	407	32	wilson	wilson	PROPN
ejpam-5784	407	33	model	model	NOUN
ejpam-5784	407	34	using	use	VERB
ejpam-5784	407	35	modified	modify	VERB
ejpam-5784	407	36	mittag	mittag	ADJ
ejpam-5784	407	37	–	–	PUNCT
ejpam-5784	407	38	leffler	leffler	NOUN
ejpam-5784	407	39	function	function	NOUN
ejpam-5784	407	40	.	.	PUNCT
ejpam-5784	408	1	journal	journal	PROPN
ejpam-5784	408	2	of	of	ADP
ejpam-5784	408	3	ocean	ocean	PROPN
ejpam-5784	408	4	engineering	engineering	NOUN
ejpam-5784	408	5	and	and	CCONJ
ejpam-5784	408	6	science	science	NOUN
ejpam-5784	408	7	,	,	PUNCT
ejpam-5784	408	8	2022	2022	NUM
ejpam-5784	408	9	.	.	PUNCT
ejpam-5784	409	1	[	[	X
ejpam-5784	409	2	10	10	NUM
ejpam-5784	409	3	]	]	PUNCT
ejpam-5784	409	4	k.	k.	PROPN
ejpam-5784	409	5	k.	k.	PROPN
ejpam-5784	409	6	ali	ali	PROPN
ejpam-5784	409	7	,	,	PUNCT
ejpam-5784	409	8	f.	f.	PROPN
ejpam-5784	409	9	e.	e.	PROPN
ejpam-5784	409	10	abd	abd	PROPN
ejpam-5784	409	11	elbary	elbary	PROPN
ejpam-5784	409	12	,	,	PUNCT
ejpam-5784	409	13	m.	m.	NOUN
ejpam-5784	409	14	s.	s.	PROPN
ejpam-5784	409	15	abdel	abdel	PROPN
ejpam-5784	409	16	-	-	PUNCT
ejpam-5784	409	17	wahed	wahed	PROPN
ejpam-5784	409	18	,	,	PUNCT
ejpam-5784	409	19	m.	m.	NOUN
ejpam-5784	409	20	a.	a.	PROPN
ejpam-5784	409	21	elsisy	elsisy	PROPN
ejpam-5784	409	22	,	,	PUNCT
ejpam-5784	409	23	and	and	CCONJ
ejpam-5784	409	24	m.	m.	PROPN
ejpam-5784	409	25	s.	s.	PROPN
ejpam-5784	409	26	semary	semary	PROPN
ejpam-5784	409	27	.	.	PUNCT
ejpam-5784	410	1	solving	solve	VERB
ejpam-5784	410	2	nonlinear	nonlinear	ADJ
ejpam-5784	410	3	fractional	fractional	ADJ
ejpam-5784	410	4	pdes	pde	NOUN
ejpam-5784	410	5	with	with	ADP
ejpam-5784	410	6	applications	application	NOUN
ejpam-5784	410	7	to	to	ADP
ejpam-5784	410	8	physics	physics	NOUN
ejpam-5784	410	9	and	and	CCONJ
ejpam-5784	410	10	engineering	engineering	NOUN
ejpam-5784	410	11	using	use	VERB
ejpam-5784	410	12	the	the	DET
ejpam-5784	410	13	laplace	laplace	NOUN
ejpam-5784	410	14	residual	residual	ADJ
ejpam-5784	410	15	power	power	NOUN
ejpam-5784	410	16	series	series	PROPN
ejpam-5784	410	17	method	method	PROPN
ejpam-5784	410	18	.	.	PUNCT
ejpam-5784	411	1	international	international	ADJ
ejpam-5784	411	2	journal	journal	PROPN
ejpam-5784	411	3	of	of	ADP
ejpam-5784	411	4	differential	differential	ADJ
ejpam-5784	411	5	equations	equation	NOUN
ejpam-5784	411	6	,	,	PUNCT
ejpam-5784	411	7	2023:1240970	2023:1240970	NUM
ejpam-5784	411	8	,	,	PUNCT
ejpam-5784	411	9	2023	2023	NUM
ejpam-5784	411	10	.	.	PUNCT
ejpam-5784	412	1	[	[	X
ejpam-5784	412	2	11	11	NUM
ejpam-5784	412	3	]	]	PUNCT
ejpam-5784	412	4	a.	a.	NOUN
ejpam-5784	412	5	k.	k.	PROPN
ejpam-5784	412	6	alomari	alomari	PROPN
ejpam-5784	412	7	,	,	PUNCT
ejpam-5784	412	8	t.	t.	PROPN
ejpam-5784	412	9	abdeljawad	abdeljawad	PROPN
ejpam-5784	412	10	,	,	PUNCT
ejpam-5784	412	11	d.	d.	PROPN
ejpam-5784	412	12	baleanu	baleanu	PROPN
ejpam-5784	412	13	,	,	PUNCT
ejpam-5784	412	14	k.	k.	PROPN
ejpam-5784	412	15	m.	m.	PROPN
ejpam-5784	412	16	saad	saad	PROPN
ejpam-5784	412	17	,	,	PUNCT
ejpam-5784	412	18	and	and	CCONJ
ejpam-5784	412	19	q.	q.	PROPN
ejpam-5784	412	20	m.	m.	PROPN
ejpam-5784	412	21	al	al	PROPN
ejpam-5784	412	22	-	-	PUNCT
ejpam-5784	412	23	mdallal	mdallal	PROPN
ejpam-5784	412	24	.	.	PUNCT
ejpam-5784	413	1	numerical	numerical	ADJ
ejpam-5784	413	2	solutions	solution	NOUN
ejpam-5784	413	3	of	of	ADP
ejpam-5784	413	4	fractional	fractional	ADJ
ejpam-5784	413	5	parabolic	parabolic	ADJ
ejpam-5784	413	6	equations	equation	NOUN
ejpam-5784	413	7	with	with	ADP
ejpam-5784	413	8	generalized	generalized	ADJ
ejpam-5784	413	9	mittag	mittag	ADJ
ejpam-5784	413	10	-	-	PUNCT
ejpam-5784	413	11	leffler	leffler	NOUN
ejpam-5784	413	12	kernels	kernel	NOUN
ejpam-5784	413	13	.	.	PUNCT
ejpam-5784	414	1	numerical	numerical	ADJ
ejpam-5784	414	2	methods	method	NOUN
ejpam-5784	414	3	for	for	ADP
ejpam-5784	414	4	partial	partial	ADJ
ejpam-5784	414	5	differential	differential	NOUN
ejpam-5784	414	6	equations	equation	NOUN
ejpam-5784	414	7	,	,	PUNCT
ejpam-5784	414	8	40(1):e22699	40(1):e22699	NOUN
ejpam-5784	414	9	,	,	PUNCT
ejpam-5784	414	10	2024	2024	NUM
ejpam-5784	414	11	.	.	PUNCT
ejpam-5784	415	1	m.	m.	PROPN
ejpam-5784	415	2	alaroud	alaroud	PROPN
ejpam-5784	415	3	,	,	PUNCT
ejpam-5784	415	4	f.	f.	PROPN
ejpam-5784	415	5	aldosari	aldosari	PROPN
ejpam-5784	415	6	/	/	SYM
ejpam-5784	415	7	eur	eur	PROPN
ejpam-5784	415	8	.	.	PUNCT
ejpam-5784	416	1	j.	j.	PROPN
ejpam-5784	416	2	pure	pure	PROPN
ejpam-5784	416	3	appl	appl	PROPN
ejpam-5784	416	4	.	.	PROPN
ejpam-5784	416	5	math	math	PROPN
ejpam-5784	416	6	,	,	PUNCT
ejpam-5784	416	7	18	18	NUM
ejpam-5784	416	8	(	(	PUNCT
ejpam-5784	416	9	1	1	NUM
ejpam-5784	416	10	)	)	PUNCT
ejpam-5784	416	11	(	(	PUNCT
ejpam-5784	416	12	2025	2025	NUM
ejpam-5784	416	13	)	)	PUNCT
ejpam-5784	416	14	,	,	PUNCT
ejpam-5784	416	15	5784	5784	NUM
ejpam-5784	416	16	23	23	NUM
ejpam-5784	416	17	of	of	ADP
ejpam-5784	416	18	25	25	NUM
ejpam-5784	417	1	[	[	X
ejpam-5784	417	2	12	12	NUM
ejpam-5784	417	3	]	]	PUNCT
ejpam-5784	417	4	a.	a.	NOUN
ejpam-5784	417	5	atangana	atangana	PROPN
ejpam-5784	417	6	and	and	CCONJ
ejpam-5784	417	7	d.	d.	PROPN
ejpam-5784	417	8	baleanu	baleanu	PROPN
ejpam-5784	417	9	.	.	PUNCT
ejpam-5784	418	1	new	new	ADJ
ejpam-5784	418	2	fractional	fractional	ADJ
ejpam-5784	418	3	derivatives	derivative	NOUN
ejpam-5784	418	4	with	with	ADP
ejpam-5784	418	5	non	non	ADJ
ejpam-5784	418	6	-	-	ADJ
ejpam-5784	418	7	local	local	ADJ
ejpam-5784	418	8	and	and	CCONJ
ejpam-5784	418	9	nonsingular	nonsingular	ADJ
ejpam-5784	418	10	kernel	kernel	PROPN
ejpam-5784	418	11	:	:	PUNCT
ejpam-5784	418	12	theory	theory	NOUN
ejpam-5784	418	13	and	and	CCONJ
ejpam-5784	418	14	application	application	NOUN
ejpam-5784	418	15	to	to	PART
ejpam-5784	418	16	heat	heat	NOUN
ejpam-5784	418	17	transfer	transfer	NOUN
ejpam-5784	418	18	model	model	NOUN
ejpam-5784	418	19	.	.	PUNCT
ejpam-5784	419	1	thermal	thermal	ADJ
ejpam-5784	419	2	science	science	NOUN
ejpam-5784	419	3	,	,	PUNCT
ejpam-5784	419	4	20:763–769	20:763–769	PROPN
ejpam-5784	419	5	,	,	PUNCT
ejpam-5784	419	6	2016	2016	NUM
ejpam-5784	419	7	.	.	PUNCT
ejpam-5784	420	1	[	[	X
ejpam-5784	420	2	13	13	NUM
ejpam-5784	420	3	]	]	PUNCT
ejpam-5784	420	4	m.	m.	NOUN
ejpam-5784	420	5	ayata	ayata	NOUN
ejpam-5784	420	6	and	and	CCONJ
ejpam-5784	420	7	o.	o.	PROPN
ejpam-5784	420	8	özkan	özkan	PROPN
ejpam-5784	420	9	.	.	PUNCT
ejpam-5784	421	1	a	a	DET
ejpam-5784	421	2	new	new	ADJ
ejpam-5784	421	3	approach	approach	NOUN
ejpam-5784	421	4	to	to	ADP
ejpam-5784	421	5	mathematical	mathematical	ADJ
ejpam-5784	421	6	models	model	NOUN
ejpam-5784	421	7	of	of	ADP
ejpam-5784	421	8	drinfeldsokolov	drinfeldsokolov	NOUN
ejpam-5784	421	9	-	-	PUNCT
ejpam-5784	421	10	wilson	wilson	NOUN
ejpam-5784	421	11	and	and	CCONJ
ejpam-5784	421	12	coupled	couple	VERB
ejpam-5784	421	13	viscous	viscous	ADJ
ejpam-5784	421	14	burgers	burger	NOUN
ejpam-5784	421	15	’	'	PUNCT
ejpam-5784	421	16	equations	equation	NOUN
ejpam-5784	421	17	in	in	ADP
ejpam-5784	421	18	water	water	NOUN
ejpam-5784	421	19	flow	flow	NOUN
ejpam-5784	421	20	.	.	PUNCT
ejpam-5784	422	1	physica	physica	PROPN
ejpam-5784	422	2	scripta	scripta	PROPN
ejpam-5784	422	3	,	,	PUNCT
ejpam-5784	422	4	96(9):095207	96(9):095207	PROPN
ejpam-5784	422	5	,	,	PUNCT
ejpam-5784	422	6	2021	2021	NUM
ejpam-5784	422	7	.	.	PUNCT
ejpam-5784	423	1	[	[	X
ejpam-5784	423	2	14	14	NUM
ejpam-5784	423	3	]	]	X
ejpam-5784	423	4	d.	d.	PROPN
ejpam-5784	423	5	baleanu	baleanu	PROPN
ejpam-5784	423	6	,	,	PUNCT
ejpam-5784	423	7	j.	j.	PROPN
ejpam-5784	423	8	a.	a.	PROPN
ejpam-5784	423	9	t.	t.	PROPN
ejpam-5784	423	10	machado	machado	PROPN
ejpam-5784	423	11	,	,	PUNCT
ejpam-5784	423	12	and	and	CCONJ
ejpam-5784	423	13	a.	a.	PROPN
ejpam-5784	423	14	c.	c.	PROPN
ejpam-5784	423	15	luo	luo	PROPN
ejpam-5784	423	16	.	.	PUNCT
ejpam-5784	424	1	fractional	fractional	ADJ
ejpam-5784	424	2	dynamics	dynamic	NOUN
ejpam-5784	424	3	and	and	CCONJ
ejpam-5784	424	4	control	control	NOUN
ejpam-5784	424	5	.	.	PUNCT
ejpam-5784	425	1	springer	springer	NOUN
ejpam-5784	425	2	,	,	PUNCT
ejpam-5784	425	3	berlin	berlin	PROPN
ejpam-5784	425	4	/	/	SYM
ejpam-5784	425	5	heidelberg	heidelberg	PROPN
ejpam-5784	425	6	,	,	PUNCT
ejpam-5784	425	7	germany	germany	PROPN
ejpam-5784	425	8	,	,	PUNCT
ejpam-5784	425	9	2012	2012	NUM
ejpam-5784	425	10	.	.	PUNCT
ejpam-5784	426	1	[	[	X
ejpam-5784	426	2	15	15	NUM
ejpam-5784	426	3	]	]	X
ejpam-5784	426	4	a.	a.	NOUN
ejpam-5784	426	5	bouhassoun	bouhassoun	PROPN
ejpam-5784	426	6	and	and	CCONJ
ejpam-5784	426	7	m.	m.	PROPN
ejpam-5784	426	8	h.	h.	PROPN
ejpam-5784	426	9	cherif	cherif	PROPN
ejpam-5784	426	10	.	.	PUNCT
ejpam-5784	427	1	homotopy	homotopy	PROPN
ejpam-5784	427	2	perturbation	perturbation	NOUN
ejpam-5784	427	3	method	method	NOUN
ejpam-5784	427	4	for	for	ADP
ejpam-5784	427	5	solving	solve	VERB
ejpam-5784	427	6	the	the	DET
ejpam-5784	427	7	fractional	fractional	ADJ
ejpam-5784	427	8	cahn	cahn	NOUN
ejpam-5784	427	9	-	-	PUNCT
ejpam-5784	427	10	hilliard	hilliard	NOUN
ejpam-5784	427	11	equation	equation	NOUN
ejpam-5784	427	12	.	.	PUNCT
ejpam-5784	428	1	journal	journal	NOUN
ejpam-5784	428	2	of	of	ADP
ejpam-5784	428	3	interdisciplinary	interdisciplinary	ADJ
ejpam-5784	428	4	mathematics	mathematic	NOUN
ejpam-5784	428	5	,	,	PUNCT
ejpam-5784	428	6	18(5):513	18(5):513	NUM
ejpam-5784	428	7	–	–	PUNCT
ejpam-5784	428	8	524	524	NUM
ejpam-5784	428	9	,	,	PUNCT
ejpam-5784	428	10	2015	2015	NUM
ejpam-5784	428	11	.	.	PUNCT
ejpam-5784	429	1	[	[	X
ejpam-5784	429	2	16	16	NUM
ejpam-5784	429	3	]	]	PUNCT
ejpam-5784	429	4	m.	m.	PROPN
ejpam-5784	429	5	caputo	caputo	PROPN
ejpam-5784	429	6	.	.	PUNCT
ejpam-5784	430	1	linear	linear	PROPN
ejpam-5784	430	2	models	model	NOUN
ejpam-5784	430	3	of	of	ADP
ejpam-5784	430	4	dissipation	dissipation	NOUN
ejpam-5784	430	5	whose	whose	DET
ejpam-5784	430	6	q	q	NOUN
ejpam-5784	430	7	is	be	AUX
ejpam-5784	430	8	frequency	frequency	ADJ
ejpam-5784	430	9	independent	independent	ADJ
ejpam-5784	430	10	–	–	PUNCT
ejpam-5784	430	11	ii	ii	NOUN
ejpam-5784	430	12	.	.	PUNCT
ejpam-5784	430	13	geophysical	geophysical	ADJ
ejpam-5784	430	14	journal	journal	PROPN
ejpam-5784	430	15	international	international	PROPN
ejpam-5784	430	16	,	,	PUNCT
ejpam-5784	430	17	13:529–539	13:529–539	PROPN
ejpam-5784	430	18	,	,	PUNCT
ejpam-5784	430	19	1967	1967	NUM
ejpam-5784	430	20	.	.	PUNCT
ejpam-5784	431	1	[	[	X
ejpam-5784	431	2	17	17	NUM
ejpam-5784	431	3	]	]	PUNCT
ejpam-5784	431	4	m.	m.	NOUN
ejpam-5784	431	5	caputo	caputo	PROPN
ejpam-5784	431	6	and	and	CCONJ
ejpam-5784	431	7	m.	m.	PROPN
ejpam-5784	431	8	fabrizio	fabrizio	PROPN
ejpam-5784	431	9	.	.	PUNCT
ejpam-5784	432	1	a	a	DET
ejpam-5784	432	2	new	new	ADJ
ejpam-5784	432	3	definition	definition	NOUN
ejpam-5784	432	4	of	of	ADP
ejpam-5784	432	5	fractional	fractional	ADJ
ejpam-5784	432	6	derivative	derivative	NOUN
ejpam-5784	432	7	without	without	ADP
ejpam-5784	432	8	singular	singular	ADJ
ejpam-5784	432	9	kernel	kernel	PROPN
ejpam-5784	432	10	.	.	PUNCT
ejpam-5784	433	1	progress	progress	NOUN
ejpam-5784	433	2	in	in	ADP
ejpam-5784	433	3	fractional	fractional	ADJ
ejpam-5784	433	4	differentiation	differentiation	NOUN
ejpam-5784	433	5	and	and	CCONJ
ejpam-5784	433	6	applications	application	NOUN
ejpam-5784	433	7	,	,	PUNCT
ejpam-5784	433	8	1:73–85	1:73–85	NUM
ejpam-5784	433	9	,	,	PUNCT
ejpam-5784	433	10	2015	2015	NUM
ejpam-5784	433	11	.	.	PUNCT
ejpam-5784	434	1	[	[	X
ejpam-5784	434	2	18	18	NUM
ejpam-5784	434	3	]	]	X
ejpam-5784	434	4	v.	v.	PROPN
ejpam-5784	434	5	g.	g.	PROPN
ejpam-5784	434	6	drinfeld	drinfeld	PROPN
ejpam-5784	434	7	and	and	CCONJ
ejpam-5784	434	8	v.	v.	ADP
ejpam-5784	434	9	v.	v.	PROPN
ejpam-5784	434	10	sokolov	sokolov	PROPN
ejpam-5784	434	11	.	.	PUNCT
ejpam-5784	435	1	equations	equation	NOUN
ejpam-5784	435	2	of	of	ADP
ejpam-5784	435	3	korteweg	korteweg	PROPN
ejpam-5784	435	4	–	–	PUNCT
ejpam-5784	435	5	de	de	PROPN
ejpam-5784	435	6	vries	vries	PROPN
ejpam-5784	435	7	type	type	NOUN
ejpam-5784	435	8	,	,	PUNCT
ejpam-5784	435	9	and	and	CCONJ
ejpam-5784	435	10	simple	simple	ADJ
ejpam-5784	435	11	lie	lie	NOUN
ejpam-5784	435	12	algebras	algebra	NOUN
ejpam-5784	435	13	.	.	PUNCT
ejpam-5784	436	1	in	in	ADP
ejpam-5784	436	2	doklady	doklady	PROPN
ejpam-5784	436	3	akademii	akademii	PROPN
ejpam-5784	436	4	nauk	nauk	PROPN
ejpam-5784	436	5	,	,	PUNCT
ejpam-5784	436	6	volume	volume	NOUN
ejpam-5784	436	7	258	258	NUM
ejpam-5784	436	8	,	,	PUNCT
ejpam-5784	436	9	pages	page	NOUN
ejpam-5784	436	10	11–16	11–16	NUM
ejpam-5784	436	11	.	.	PUNCT
ejpam-5784	436	12	russian	russian	ADJ
ejpam-5784	436	13	academy	academy	PROPN
ejpam-5784	436	14	of	of	ADP
ejpam-5784	436	15	sciences	sciences	PROPN
ejpam-5784	436	16	,	,	PUNCT
ejpam-5784	436	17	1981	1981	NUM
ejpam-5784	436	18	.	.	PUNCT
ejpam-5784	437	1	[	[	X
ejpam-5784	437	2	19	19	NUM
ejpam-5784	437	3	]	]	X
ejpam-5784	437	4	a.	a.	PROPN
ejpam-5784	437	5	el	el	PROPN
ejpam-5784	437	6	-	-	PUNCT
ejpam-5784	437	7	ajou	ajou	ADJ
ejpam-5784	437	8	.	.	PUNCT
ejpam-5784	438	1	adapting	adapt	VERB
ejpam-5784	438	2	the	the	DET
ejpam-5784	438	3	laplace	laplace	NOUN
ejpam-5784	438	4	transform	transform	NOUN
ejpam-5784	438	5	to	to	PART
ejpam-5784	438	6	create	create	VERB
ejpam-5784	438	7	solitary	solitary	ADJ
ejpam-5784	438	8	solutions	solution	NOUN
ejpam-5784	438	9	for	for	ADP
ejpam-5784	438	10	the	the	DET
ejpam-5784	438	11	nonlinear	nonlinear	ADJ
ejpam-5784	438	12	time	time	NOUN
ejpam-5784	438	13	-	-	PUNCT
ejpam-5784	438	14	fractional	fractional	ADJ
ejpam-5784	438	15	dispersive	dispersive	ADJ
ejpam-5784	438	16	pdes	pde	NOUN
ejpam-5784	438	17	via	via	ADP
ejpam-5784	438	18	a	a	DET
ejpam-5784	438	19	new	new	ADJ
ejpam-5784	438	20	approach	approach	NOUN
ejpam-5784	438	21	.	.	PUNCT
ejpam-5784	439	1	the	the	DET
ejpam-5784	439	2	european	european	PROPN
ejpam-5784	439	3	physical	physical	PROPN
ejpam-5784	439	4	journal	journal	PROPN
ejpam-5784	439	5	plus	plus	CCONJ
ejpam-5784	439	6	,	,	PUNCT
ejpam-5784	439	7	136:1–22	136:1–22	NUM
ejpam-5784	439	8	,	,	PUNCT
ejpam-5784	439	9	2021	2021	NUM
ejpam-5784	439	10	.	.	PUNCT
ejpam-5784	440	1	[	[	X
ejpam-5784	440	2	20	20	NUM
ejpam-5784	440	3	]	]	PUNCT
ejpam-5784	440	4	a.	a.	PROPN
ejpam-5784	440	5	el	el	PROPN
ejpam-5784	440	6	-	-	PROPN
ejpam-5784	440	7	ajou	ajou	PROPN
ejpam-5784	440	8	and	and	CCONJ
ejpam-5784	440	9	z.	z.	PROPN
ejpam-5784	440	10	al	al	PROPN
ejpam-5784	440	11	-	-	PUNCT
ejpam-5784	440	12	zhour	zhour	PROPN
ejpam-5784	440	13	.	.	PUNCT
ejpam-5784	441	1	a	a	DET
ejpam-5784	441	2	vector	vector	NOUN
ejpam-5784	441	3	series	series	NOUN
ejpam-5784	441	4	solution	solution	NOUN
ejpam-5784	441	5	for	for	ADP
ejpam-5784	441	6	a	a	DET
ejpam-5784	441	7	class	class	NOUN
ejpam-5784	441	8	of	of	ADP
ejpam-5784	441	9	hyperbolic	hyperbolic	ADJ
ejpam-5784	441	10	system	system	NOUN
ejpam-5784	441	11	of	of	ADP
ejpam-5784	441	12	caputo	caputo	PROPN
ejpam-5784	441	13	time	time	PROPN
ejpam-5784	441	14	-	-	PUNCT
ejpam-5784	441	15	fractional	fractional	ADJ
ejpam-5784	441	16	partial	partial	ADJ
ejpam-5784	441	17	differential	differential	NOUN
ejpam-5784	441	18	equations	equation	NOUN
ejpam-5784	441	19	with	with	ADP
ejpam-5784	441	20	variable	variable	ADJ
ejpam-5784	441	21	coefficients	coefficient	NOUN
ejpam-5784	441	22	.	.	PUNCT
ejpam-5784	442	1	frontiers	frontier	NOUN
ejpam-5784	442	2	in	in	ADP
ejpam-5784	442	3	physics	physics	PROPN
ejpam-5784	442	4	,	,	PUNCT
ejpam-5784	442	5	9:525250	9:525250	NUM
ejpam-5784	442	6	,	,	PUNCT
ejpam-5784	442	7	2021	2021	NUM
ejpam-5784	442	8	.	.	PUNCT
ejpam-5784	443	1	[	[	X
ejpam-5784	443	2	21	21	NUM
ejpam-5784	443	3	]	]	X
ejpam-5784	443	4	t.	t.	NOUN
ejpam-5784	443	5	eriqat	eriqat	PROPN
ejpam-5784	443	6	,	,	PUNCT
ejpam-5784	443	7	a.	a.	PROPN
ejpam-5784	443	8	el	el	PROPN
ejpam-5784	443	9	-	-	PUNCT
ejpam-5784	443	10	ajou	ajou	ADJ
ejpam-5784	443	11	,	,	PUNCT
ejpam-5784	443	12	m.	m.	NOUN
ejpam-5784	443	13	oqielat	oqielat	NOUN
ejpam-5784	443	14	,	,	PUNCT
ejpam-5784	443	15	z.	z.	PROPN
ejpam-5784	443	16	al	al	PROPN
ejpam-5784	443	17	-	-	PUNCT
ejpam-5784	443	18	zhour	zhour	PROPN
ejpam-5784	443	19	,	,	PUNCT
ejpam-5784	443	20	and	and	CCONJ
ejpam-5784	443	21	s.	s.	PROPN
ejpam-5784	443	22	momani	momani	PROPN
ejpam-5784	443	23	.	.	PUNCT
ejpam-5784	444	1	a	a	DET
ejpam-5784	444	2	new	new	ADJ
ejpam-5784	444	3	attractive	attractive	ADJ
ejpam-5784	444	4	analytic	analytic	ADJ
ejpam-5784	444	5	approach	approach	NOUN
ejpam-5784	444	6	for	for	ADP
ejpam-5784	444	7	solutions	solution	NOUN
ejpam-5784	444	8	of	of	ADP
ejpam-5784	444	9	linear	linear	PROPN
ejpam-5784	444	10	and	and	CCONJ
ejpam-5784	444	11	nonlinear	nonlinear	ADJ
ejpam-5784	444	12	neutral	neutral	ADJ
ejpam-5784	444	13	fractional	fractional	ADJ
ejpam-5784	444	14	pantograph	pantograph	NOUN
ejpam-5784	444	15	equations	equation	NOUN
ejpam-5784	444	16	.	.	PUNCT
ejpam-5784	445	1	chaos	chaos	NOUN
ejpam-5784	445	2	solit	solit	NOUN
ejpam-5784	445	3	.	.	PUNCT
ejpam-5784	446	1	fractals	fractal	NOUN
ejpam-5784	446	2	,	,	PUNCT
ejpam-5784	446	3	138	138	NUM
ejpam-5784	446	4	,	,	PUNCT
ejpam-5784	446	5	109957	109957	NUM
ejpam-5784	446	6	,	,	PUNCT
ejpam-5784	446	7	2020	2020	NUM
ejpam-5784	446	8	.	.	PUNCT
ejpam-5784	447	1	[	[	X
ejpam-5784	447	2	22	22	NUM
ejpam-5784	447	3	]	]	PUNCT
ejpam-5784	447	4	s.	s.	PROPN
ejpam-5784	447	5	e.	e.	PROPN
ejpam-5784	447	6	esipov	esipov	PROPN
ejpam-5784	447	7	.	.	PROPN
ejpam-5784	447	8	coupled	couple	VERB
ejpam-5784	447	9	burgers	burger	NOUN
ejpam-5784	447	10	equations	equation	NOUN
ejpam-5784	447	11	:	:	PUNCT
ejpam-5784	447	12	a	a	DET
ejpam-5784	447	13	model	model	NOUN
ejpam-5784	447	14	of	of	ADP
ejpam-5784	447	15	polydispersive	polydispersive	ADJ
ejpam-5784	447	16	sedimentation	sedimentation	NOUN
ejpam-5784	447	17	.	.	PUNCT
ejpam-5784	448	1	physical	physical	ADJ
ejpam-5784	448	2	review	review	PROPN
ejpam-5784	448	3	e	e	PROPN
ejpam-5784	448	4	,	,	PUNCT
ejpam-5784	448	5	52(4):3711	52(4):3711	NUM
ejpam-5784	448	6	,	,	PUNCT
ejpam-5784	448	7	1995	1995	NUM
ejpam-5784	448	8	.	.	PUNCT
ejpam-5784	449	1	[	[	X
ejpam-5784	449	2	23	23	NUM
ejpam-5784	449	3	]	]	PUNCT
ejpam-5784	449	4	b.	b.	PROPN
ejpam-5784	449	5	ghanbari	ghanbari	PROPN
ejpam-5784	449	6	,	,	PUNCT
ejpam-5784	449	7	d.	d.	PROPN
ejpam-5784	449	8	kumar	kumar	PROPN
ejpam-5784	449	9	,	,	PUNCT
ejpam-5784	449	10	and	and	CCONJ
ejpam-5784	449	11	j.	j.	PROPN
ejpam-5784	449	12	singh	singh	PROPN
ejpam-5784	449	13	.	.	PUNCT
ejpam-5784	450	1	an	an	DET
ejpam-5784	450	2	efficient	efficient	ADJ
ejpam-5784	450	3	numerical	numerical	ADJ
ejpam-5784	450	4	method	method	NOUN
ejpam-5784	450	5	for	for	ADP
ejpam-5784	450	6	fractional	fractional	ADJ
ejpam-5784	450	7	model	model	NOUN
ejpam-5784	450	8	of	of	ADP
ejpam-5784	450	9	allelopathic	allelopathic	ADJ
ejpam-5784	450	10	stimulatory	stimulatory	ADJ
ejpam-5784	450	11	phytoplankton	phytoplankton	NOUN
ejpam-5784	450	12	species	specie	NOUN
ejpam-5784	450	13	with	with	ADP
ejpam-5784	450	14	mittag	mittag	ADJ
ejpam-5784	450	15	-	-	PUNCT
ejpam-5784	450	16	leffler	leffler	NOUN
ejpam-5784	450	17	law	law	NOUN
ejpam-5784	450	18	.	.	PUNCT
ejpam-5784	451	1	discrete	discrete	VERB
ejpam-5784	451	2	&	&	CCONJ
ejpam-5784	451	3	continuous	continuous	ADJ
ejpam-5784	451	4	dynamical	dynamical	ADJ
ejpam-5784	451	5	systems	system	NOUN
ejpam-5784	451	6	-	-	PUNCT
ejpam-5784	451	7	s	s	NOUN
ejpam-5784	451	8	,	,	PUNCT
ejpam-5784	451	9	14(10):3577–3587	14(10):3577–3587	NUM
ejpam-5784	451	10	,	,	PUNCT
ejpam-5784	451	11	2021	2021	NUM
ejpam-5784	451	12	.	.	PUNCT
ejpam-5784	452	1	[	[	X
ejpam-5784	452	2	24	24	NUM
ejpam-5784	452	3	]	]	PUNCT
ejpam-5784	452	4	f.	f.	PROPN
ejpam-5784	452	5	ghoreishi	ghoreishi	PROPN
ejpam-5784	452	6	and	and	CCONJ
ejpam-5784	452	7	p.	p.	PROPN
ejpam-5784	452	8	mokhtary	mokhtary	NOUN
ejpam-5784	452	9	.	.	PUNCT
ejpam-5784	453	1	spectral	spectral	ADJ
ejpam-5784	453	2	collocation	collocation	NOUN
ejpam-5784	453	3	method	method	NOUN
ejpam-5784	453	4	for	for	ADP
ejpam-5784	453	5	multi	multi	ADJ
ejpam-5784	453	6	-	-	ADJ
ejpam-5784	453	7	order	order	ADJ
ejpam-5784	453	8	fractional	fractional	ADJ
ejpam-5784	453	9	differential	differential	ADJ
ejpam-5784	453	10	equations	equation	NOUN
ejpam-5784	453	11	.	.	PUNCT
ejpam-5784	454	1	international	international	ADJ
ejpam-5784	454	2	journal	journal	NOUN
ejpam-5784	454	3	of	of	ADP
ejpam-5784	454	4	computational	computational	ADJ
ejpam-5784	454	5	methods	method	NOUN
ejpam-5784	454	6	,	,	PUNCT
ejpam-5784	454	7	11(05):1350072	11(05):1350072	NUM
ejpam-5784	454	8	,	,	PUNCT
ejpam-5784	454	9	2014	2014	NUM
ejpam-5784	454	10	.	.	PUNCT
ejpam-5784	455	1	[	[	X
ejpam-5784	455	2	25	25	NUM
ejpam-5784	455	3	]	]	PUNCT
ejpam-5784	455	4	m.	m.	NOUN
ejpam-5784	455	5	a.	a.	PROPN
ejpam-5784	455	6	huda	huda	PROPN
ejpam-5784	455	7	,	,	PUNCT
ejpam-5784	455	8	m.	m.	NOUN
ejpam-5784	455	9	a.	a.	NOUN
ejpam-5784	455	10	akbar	akbar	NOUN
ejpam-5784	455	11	,	,	PUNCT
ejpam-5784	455	12	and	and	CCONJ
ejpam-5784	455	13	s.	s.	PROPN
ejpam-5784	455	14	s.	s.	PROPN
ejpam-5784	455	15	shanta	shanta	PROPN
ejpam-5784	455	16	.	.	PUNCT
ejpam-5784	456	1	the	the	DET
ejpam-5784	456	2	new	new	ADJ
ejpam-5784	456	3	types	type	NOUN
ejpam-5784	456	4	of	of	ADP
ejpam-5784	456	5	wave	wave	NOUN
ejpam-5784	456	6	solutions	solution	NOUN
ejpam-5784	456	7	of	of	ADP
ejpam-5784	456	8	the	the	DET
ejpam-5784	456	9	burger	burger	NOUN
ejpam-5784	456	10	’s	’s	PART
ejpam-5784	456	11	equation	equation	NOUN
ejpam-5784	456	12	and	and	CCONJ
ejpam-5784	456	13	the	the	DET
ejpam-5784	456	14	benjamin	benjamin	PROPN
ejpam-5784	456	15	–	–	PUNCT
ejpam-5784	456	16	bona	bona	ADJ
ejpam-5784	456	17	–	–	PUNCT
ejpam-5784	456	18	mahony	mahony	NOUN
ejpam-5784	456	19	equation	equation	NOUN
ejpam-5784	456	20	.	.	PUNCT
ejpam-5784	457	1	journal	journal	PROPN
ejpam-5784	457	2	of	of	ADP
ejpam-5784	457	3	ocean	ocean	PROPN
ejpam-5784	457	4	engineering	engineering	NOUN
ejpam-5784	457	5	and	and	CCONJ
ejpam-5784	457	6	science	science	NOUN
ejpam-5784	457	7	,	,	PUNCT
ejpam-5784	457	8	3(1):1–10	3(1):1–10	NUM
ejpam-5784	457	9	,	,	PUNCT
ejpam-5784	457	10	2018	2018	NUM
ejpam-5784	457	11	.	.	PUNCT
ejpam-5784	458	1	[	[	X
ejpam-5784	458	2	26	26	NUM
ejpam-5784	458	3	]	]	PUNCT
ejpam-5784	458	4	r.	r.	PROPN
ejpam-5784	458	5	khalil	khalil	PROPN
ejpam-5784	458	6	,	,	PUNCT
ejpam-5784	458	7	m.	m.	PROPN
ejpam-5784	458	8	al	al	PROPN
ejpam-5784	458	9	horani	horani	PROPN
ejpam-5784	458	10	,	,	PUNCT
ejpam-5784	458	11	a.	a.	NOUN
ejpam-5784	458	12	yousef	yousef	PROPN
ejpam-5784	458	13	,	,	PUNCT
ejpam-5784	458	14	and	and	CCONJ
ejpam-5784	458	15	m.	m.	NOUN
ejpam-5784	458	16	sababheh	sababheh	NOUN
ejpam-5784	458	17	.	.	PUNCT
ejpam-5784	459	1	a	a	DET
ejpam-5784	459	2	new	new	ADJ
ejpam-5784	459	3	definition	definition	NOUN
ejpam-5784	459	4	of	of	ADP
ejpam-5784	459	5	fractional	fractional	ADJ
ejpam-5784	459	6	derivative	derivative	NOUN
ejpam-5784	459	7	.	.	PUNCT
ejpam-5784	460	1	journal	journal	PROPN
ejpam-5784	460	2	of	of	ADP
ejpam-5784	460	3	computational	computational	ADJ
ejpam-5784	460	4	and	and	CCONJ
ejpam-5784	460	5	applied	applied	ADJ
ejpam-5784	460	6	mathematics	mathematic	NOUN
ejpam-5784	460	7	,	,	PUNCT
ejpam-5784	460	8	264:65–70	264:65–70	NUM
ejpam-5784	460	9	,	,	PUNCT
ejpam-5784	460	10	2014	2014	NUM
ejpam-5784	460	11	.	.	PUNCT
ejpam-5784	461	1	[	[	X
ejpam-5784	461	2	27	27	NUM
ejpam-5784	461	3	]	]	PUNCT
ejpam-5784	461	4	a.	a.	NOUN
ejpam-5784	461	5	khalouta	khalouta	PROPN
ejpam-5784	461	6	.	.	PUNCT
ejpam-5784	462	1	a	a	DET
ejpam-5784	462	2	novel	novel	ADJ
ejpam-5784	462	3	iterative	iterative	NOUN
ejpam-5784	462	4	method	method	NOUN
ejpam-5784	462	5	to	to	PART
ejpam-5784	462	6	solve	solve	VERB
ejpam-5784	462	7	nonlinear	nonlinear	ADJ
ejpam-5784	462	8	wave	wave	NOUN
ejpam-5784	462	9	-	-	PUNCT
ejpam-5784	462	10	like	like	ADJ
ejpam-5784	462	11	equations	equation	NOUN
ejpam-5784	462	12	of	of	ADP
ejpam-5784	462	13	fractional	fractional	ADJ
ejpam-5784	462	14	order	order	NOUN
ejpam-5784	462	15	with	with	ADP
ejpam-5784	462	16	variable	variable	ADJ
ejpam-5784	462	17	coefficients	coefficient	NOUN
ejpam-5784	462	18	.	.	PUNCT
ejpam-5784	463	1	revista	revista	PROPN
ejpam-5784	463	2	colombiana	colombiana	PROPN
ejpam-5784	463	3	de	de	X
ejpam-5784	463	4	matemáticas	matemáticas	PROPN
ejpam-5784	463	5	,	,	PUNCT
ejpam-5784	463	6	56(1):13	56(1):13	NUM
ejpam-5784	463	7	–	–	PUNCT
ejpam-5784	463	8	34	34	NUM
ejpam-5784	463	9	,	,	PUNCT
ejpam-5784	463	10	2022	2022	NUM
ejpam-5784	463	11	.	.	PUNCT
ejpam-5784	464	1	m.	m.	PROPN
ejpam-5784	464	2	alaroud	alaroud	PROPN
ejpam-5784	464	3	,	,	PUNCT
ejpam-5784	464	4	f.	f.	PROPN
ejpam-5784	464	5	aldosari	aldosari	PROPN
ejpam-5784	464	6	/	/	SYM
ejpam-5784	464	7	eur	eur	PROPN
ejpam-5784	464	8	.	.	PUNCT
ejpam-5784	465	1	j.	j.	PROPN
ejpam-5784	465	2	pure	pure	PROPN
ejpam-5784	465	3	appl	appl	PROPN
ejpam-5784	465	4	.	.	PROPN
ejpam-5784	465	5	math	math	PROPN
ejpam-5784	465	6	,	,	PUNCT
ejpam-5784	465	7	18	18	NUM
ejpam-5784	465	8	(	(	PUNCT
ejpam-5784	465	9	1	1	NUM
ejpam-5784	465	10	)	)	PUNCT
ejpam-5784	465	11	(	(	PUNCT
ejpam-5784	465	12	2025	2025	NUM
ejpam-5784	465	13	)	)	PUNCT
ejpam-5784	465	14	,	,	PUNCT
ejpam-5784	465	15	5784	5784	NUM
ejpam-5784	465	16	24	24	NUM
ejpam-5784	465	17	of	of	ADP
ejpam-5784	465	18	25	25	NUM
ejpam-5784	465	19	[	[	SYM
ejpam-5784	465	20	28	28	NUM
ejpam-5784	465	21	]	]	X
ejpam-5784	465	22	a.	a.	NOUN
ejpam-5784	465	23	khalouta	khalouta	PROPN
ejpam-5784	465	24	and	and	CCONJ
ejpam-5784	465	25	a.	a.	PROPN
ejpam-5784	465	26	kadem	kadem	PROPN
ejpam-5784	465	27	.	.	PUNCT
ejpam-5784	466	1	a	a	DET
ejpam-5784	466	2	new	new	ADJ
ejpam-5784	466	3	computational	computational	NOUN
ejpam-5784	466	4	for	for	ADP
ejpam-5784	466	5	approximate	approximate	ADJ
ejpam-5784	466	6	analytical	analytical	ADJ
ejpam-5784	466	7	solutions	solution	NOUN
ejpam-5784	466	8	of	of	ADP
ejpam-5784	466	9	nonlinear	nonlinear	ADJ
ejpam-5784	466	10	time	time	NOUN
ejpam-5784	466	11	-	-	PUNCT
ejpam-5784	466	12	fractional	fractional	ADJ
ejpam-5784	466	13	wave	wave	NOUN
ejpam-5784	466	14	-	-	PUNCT
ejpam-5784	466	15	like	like	ADJ
ejpam-5784	466	16	equations	equation	NOUN
ejpam-5784	466	17	with	with	ADP
ejpam-5784	466	18	variable	variable	ADJ
ejpam-5784	466	19	coefficients	coefficient	NOUN
ejpam-5784	466	20	.	.	PUNCT
ejpam-5784	467	1	aims	aim	VERB
ejpam-5784	467	2	mathematics	mathematic	NOUN
ejpam-5784	467	3	,	,	PUNCT
ejpam-5784	467	4	5(1):1–14	5(1):1–14	NUM
ejpam-5784	467	5	,	,	PUNCT
ejpam-5784	467	6	2020	2020	NUM
ejpam-5784	467	7	.	.	PUNCT
ejpam-5784	468	1	[	[	X
ejpam-5784	468	2	29	29	NUM
ejpam-5784	468	3	]	]	PUNCT
ejpam-5784	468	4	a.	a.	NOUN
ejpam-5784	468	5	a.	a.	NOUN
ejpam-5784	468	6	kilbas	kilbas	PROPN
ejpam-5784	468	7	,	,	PUNCT
ejpam-5784	468	8	h.	h.	PROPN
ejpam-5784	468	9	m.	m.	PROPN
ejpam-5784	468	10	srivastava	srivastava	PROPN
ejpam-5784	468	11	,	,	PUNCT
ejpam-5784	468	12	and	and	CCONJ
ejpam-5784	468	13	j.	j.	PROPN
ejpam-5784	468	14	j.	j.	PROPN
ejpam-5784	468	15	trujillo	trujillo	PROPN
ejpam-5784	468	16	.	.	PUNCT
ejpam-5784	468	17	theory	theory	NOUN
ejpam-5784	468	18	and	and	CCONJ
ejpam-5784	468	19	applications	application	NOUN
ejpam-5784	468	20	of	of	ADP
ejpam-5784	468	21	fractional	fractional	ADJ
ejpam-5784	468	22	differential	differential	ADJ
ejpam-5784	468	23	equations	equation	NOUN
ejpam-5784	468	24	.	.	PUNCT
ejpam-5784	469	1	elsevier	elsevier	PROPN
ejpam-5784	469	2	,	,	PUNCT
ejpam-5784	469	3	amsterdam	amsterdam	PROPN
ejpam-5784	469	4	,	,	PUNCT
ejpam-5784	469	5	2004	2004	NUM
ejpam-5784	469	6	.	.	PUNCT
ejpam-5784	470	1	[	[	X
ejpam-5784	470	2	30	30	NUM
ejpam-5784	470	3	]	]	PUNCT
ejpam-5784	470	4	z.	z.	PROPN
ejpam-5784	470	5	korpinar	korpinar	PROPN
ejpam-5784	470	6	,	,	PUNCT
ejpam-5784	470	7	m.	m.	PROPN
ejpam-5784	470	8	inc	inc	PROPN
ejpam-5784	470	9	,	,	PUNCT
ejpam-5784	470	10	e.	e.	PROPN
ejpam-5784	470	11	hınçal	hınçal	PROPN
ejpam-5784	470	12	,	,	PUNCT
ejpam-5784	470	13	and	and	CCONJ
ejpam-5784	470	14	d.	d.	PROPN
ejpam-5784	470	15	baleanu	baleanu	PROPN
ejpam-5784	470	16	.	.	PUNCT
ejpam-5784	471	1	residual	residual	ADJ
ejpam-5784	471	2	power	power	NOUN
ejpam-5784	471	3	series	series	NOUN
ejpam-5784	471	4	algorithm	algorithm	NOUN
ejpam-5784	471	5	for	for	ADP
ejpam-5784	471	6	fractional	fractional	ADJ
ejpam-5784	471	7	cancer	cancer	NOUN
ejpam-5784	471	8	tumor	tumor	NOUN
ejpam-5784	471	9	models	model	NOUN
ejpam-5784	471	10	.	.	PUNCT
ejpam-5784	472	1	alexandria	alexandria	PROPN
ejpam-5784	472	2	engineering	engineering	PROPN
ejpam-5784	472	3	journal	journal	PROPN
ejpam-5784	472	4	,	,	PUNCT
ejpam-5784	472	5	59(3):1405–1412	59(3):1405–1412	NUM
ejpam-5784	472	6	,	,	PUNCT
ejpam-5784	472	7	2020	2020	NUM
ejpam-5784	472	8	.	.	PUNCT
ejpam-5784	473	1	[	[	X
ejpam-5784	473	2	31	31	NUM
ejpam-5784	473	3	]	]	PUNCT
ejpam-5784	473	4	a.	a.	NOUN
ejpam-5784	473	5	kumar	kumar	PROPN
ejpam-5784	473	6	,	,	PUNCT
ejpam-5784	473	7	s.	s.	PROPN
ejpam-5784	473	8	kumar	kumar	PROPN
ejpam-5784	473	9	,	,	PUNCT
ejpam-5784	473	10	and	and	CCONJ
ejpam-5784	473	11	s.	s.	PROPN
ejpam-5784	473	12	p.	p.	PROPN
ejpam-5784	473	13	yan	yan	PROPN
ejpam-5784	473	14	.	.	PUNCT
ejpam-5784	474	1	residual	residual	ADJ
ejpam-5784	474	2	power	power	NOUN
ejpam-5784	474	3	series	series	PROPN
ejpam-5784	474	4	method	method	NOUN
ejpam-5784	474	5	for	for	ADP
ejpam-5784	474	6	fractional	fractional	ADJ
ejpam-5784	474	7	diffusion	diffusion	NOUN
ejpam-5784	474	8	equations	equation	NOUN
ejpam-5784	474	9	.	.	PUNCT
ejpam-5784	475	1	fundamenta	fundamenta	PROPN
ejpam-5784	475	2	informaticae	informaticae	PROPN
ejpam-5784	475	3	,	,	PUNCT
ejpam-5784	475	4	151(1–4):213–230	151(1–4):213–230	NUM
ejpam-5784	475	5	,	,	PUNCT
ejpam-5784	475	6	2017	2017	NUM
ejpam-5784	475	7	.	.	PUNCT
ejpam-5784	476	1	[	[	X
ejpam-5784	476	2	32	32	NUM
ejpam-5784	476	3	]	]	PUNCT
ejpam-5784	476	4	p.	p.	PROPN
ejpam-5784	476	5	r.	r.	PROPN
ejpam-5784	476	6	kundu	kundu	PROPN
ejpam-5784	476	7	,	,	PUNCT
ejpam-5784	476	8	m.	m.	PROPN
ejpam-5784	476	9	r.	r.	PROPN
ejpam-5784	476	10	a.	a.	PROPN
ejpam-5784	476	11	fahim	fahim	PROPN
ejpam-5784	476	12	,	,	PUNCT
ejpam-5784	476	13	m.	m.	PROPN
ejpam-5784	476	14	e.	e.	PROPN
ejpam-5784	476	15	islam	islam	PROPN
ejpam-5784	476	16	,	,	PUNCT
ejpam-5784	476	17	and	and	CCONJ
ejpam-5784	476	18	m.	m.	NOUN
ejpam-5784	476	19	a.	a.	NOUN
ejpam-5784	476	20	akbar	akbar	NOUN
ejpam-5784	476	21	.	.	PUNCT
ejpam-5784	477	1	the	the	DET
ejpam-5784	477	2	sine	sine	NOUN
ejpam-5784	477	3	-	-	PUNCT
ejpam-5784	477	4	gordon	gordon	PROPN
ejpam-5784	477	5	expansion	expansion	NOUN
ejpam-5784	477	6	method	method	NOUN
ejpam-5784	477	7	for	for	ADP
ejpam-5784	477	8	higher	high	ADJ
ejpam-5784	477	9	-	-	PUNCT
ejpam-5784	477	10	dimensional	dimensional	ADJ
ejpam-5784	477	11	nlees	nlee	NOUN
ejpam-5784	477	12	and	and	CCONJ
ejpam-5784	477	13	parametric	parametric	ADJ
ejpam-5784	477	14	analysis	analysis	NOUN
ejpam-5784	477	15	.	.	PUNCT
ejpam-5784	478	1	heliyon	heliyon	NOUN
ejpam-5784	478	2	,	,	PUNCT
ejpam-5784	478	3	7(3	7(3	NUM
ejpam-5784	478	4	)	)	PUNCT
ejpam-5784	478	5	,	,	PUNCT
ejpam-5784	478	6	2021	2021	NUM
ejpam-5784	478	7	.	.	PUNCT
ejpam-5784	479	1	[	[	X
ejpam-5784	479	2	33	33	NUM
ejpam-5784	479	3	]	]	X
ejpam-5784	479	4	y.	y.	PROPN
ejpam-5784	479	5	li	li	PROPN
ejpam-5784	479	6	and	and	CCONJ
ejpam-5784	479	7	y.	y.	PROPN
ejpam-5784	479	8	kai	kai	PROPN
ejpam-5784	479	9	.	.	PUNCT
ejpam-5784	480	1	wave	wave	NOUN
ejpam-5784	480	2	structures	structure	NOUN
ejpam-5784	480	3	and	and	CCONJ
ejpam-5784	480	4	the	the	DET
ejpam-5784	480	5	chaotic	chaotic	ADJ
ejpam-5784	480	6	behaviors	behavior	NOUN
ejpam-5784	480	7	of	of	ADP
ejpam-5784	480	8	the	the	DET
ejpam-5784	480	9	cubic	cubic	ADJ
ejpam-5784	480	10	-	-	PUNCT
ejpam-5784	480	11	quartic	quartic	ADJ
ejpam-5784	480	12	nonlinear	nonlinear	ADJ
ejpam-5784	480	13	schrödinger	schrödinger	NOUN
ejpam-5784	480	14	equation	equation	NOUN
ejpam-5784	480	15	for	for	ADP
ejpam-5784	480	16	parabolic	parabolic	ADJ
ejpam-5784	480	17	law	law	NOUN
ejpam-5784	480	18	in	in	ADP
ejpam-5784	480	19	birefringent	birefringent	NOUN
ejpam-5784	480	20	fibers	fiber	NOUN
ejpam-5784	480	21	.	.	PUNCT
ejpam-5784	481	1	nonlinear	nonlinear	ADJ
ejpam-5784	481	2	dynamics	dynamic	NOUN
ejpam-5784	481	3	,	,	PUNCT
ejpam-5784	481	4	111(9):8701–8712	111(9):8701–8712	NOUN
ejpam-5784	481	5	,	,	PUNCT
ejpam-5784	481	6	2023	2023	NUM
ejpam-5784	481	7	.	.	PUNCT
ejpam-5784	482	1	[	[	X
ejpam-5784	482	2	34	34	NUM
ejpam-5784	482	3	]	]	X
ejpam-5784	482	4	f.	f.	PROPN
ejpam-5784	482	5	mainardi	mainardi	PROPN
ejpam-5784	482	6	.	.	PUNCT
ejpam-5784	483	1	fractional	fractional	ADJ
ejpam-5784	483	2	calculus	calculus	NOUN
ejpam-5784	483	3	and	and	CCONJ
ejpam-5784	483	4	waves	wave	NOUN
ejpam-5784	483	5	in	in	ADP
ejpam-5784	483	6	linear	linear	PROPN
ejpam-5784	483	7	viscoelasticity	viscoelasticity	NOUN
ejpam-5784	483	8	.	.	PUNCT
ejpam-5784	484	1	imperial	imperial	ADJ
ejpam-5784	484	2	college	college	PROPN
ejpam-5784	484	3	press	press	PROPN
ejpam-5784	484	4	,	,	PUNCT
ejpam-5784	484	5	london	london	PROPN
ejpam-5784	484	6	,	,	PUNCT
ejpam-5784	484	7	2010	2010	NUM
ejpam-5784	484	8	.	.	PUNCT
ejpam-5784	485	1	[	[	X
ejpam-5784	485	2	35	35	NUM
ejpam-5784	485	3	]	]	PUNCT
ejpam-5784	485	4	k.	k.	PROPN
ejpam-5784	485	5	s.	s.	PROPN
ejpam-5784	485	6	miller	miller	PROPN
ejpam-5784	485	7	and	and	CCONJ
ejpam-5784	485	8	b.	b.	PROPN
ejpam-5784	485	9	ross	ross	PROPN
ejpam-5784	485	10	.	.	PUNCT
ejpam-5784	486	1	an	an	DET
ejpam-5784	486	2	introduction	introduction	NOUN
ejpam-5784	486	3	to	to	ADP
ejpam-5784	486	4	the	the	DET
ejpam-5784	486	5	fractional	fractional	ADJ
ejpam-5784	486	6	calculus	calculus	NOUN
ejpam-5784	486	7	and	and	CCONJ
ejpam-5784	486	8	fractional	fractional	ADJ
ejpam-5784	486	9	differential	differential	ADJ
ejpam-5784	486	10	equations	equation	NOUN
ejpam-5784	486	11	.	.	PUNCT
ejpam-5784	487	1	wiley	wiley	PROPN
ejpam-5784	487	2	,	,	PUNCT
ejpam-5784	487	3	new	new	PROPN
ejpam-5784	487	4	york	york	PROPN
ejpam-5784	487	5	,	,	PUNCT
ejpam-5784	487	6	1993	1993	NUM
ejpam-5784	487	7	.	.	PUNCT
ejpam-5784	488	1	[	[	X
ejpam-5784	488	2	36	36	NUM
ejpam-5784	488	3	]	]	X
ejpam-5784	488	4	r.	r.	PROPN
ejpam-5784	488	5	morris	morris	PROPN
ejpam-5784	488	6	and	and	CCONJ
ejpam-5784	488	7	a.	a.	PROPN
ejpam-5784	488	8	h.	h.	PROPN
ejpam-5784	488	9	kara	kara	PROPN
ejpam-5784	488	10	.	.	PUNCT
ejpam-5784	489	1	double	double	ADJ
ejpam-5784	489	2	reductions	reduction	NOUN
ejpam-5784	489	3	/	/	SYM
ejpam-5784	489	4	analysis	analysis	NOUN
ejpam-5784	489	5	of	of	ADP
ejpam-5784	489	6	the	the	DET
ejpam-5784	489	7	drinfeld	drinfeld	PROPN
ejpam-5784	489	8	–	–	PUNCT
ejpam-5784	489	9	sokolov	sokolov	PROPN
ejpam-5784	489	10	–	–	PUNCT
ejpam-5784	489	11	wilson	wilson	PROPN
ejpam-5784	489	12	equation	equation	NOUN
ejpam-5784	489	13	.	.	PUNCT
ejpam-5784	490	1	applied	apply	VERB
ejpam-5784	490	2	mathematics	mathematic	NOUN
ejpam-5784	490	3	and	and	CCONJ
ejpam-5784	490	4	computation	computation	NOUN
ejpam-5784	490	5	,	,	PUNCT
ejpam-5784	490	6	219:6473–6483	219:6473–6483	NUM
ejpam-5784	490	7	,	,	PUNCT
ejpam-5784	490	8	2013	2013	NUM
ejpam-5784	490	9	.	.	PUNCT
ejpam-5784	491	1	[	[	X
ejpam-5784	491	2	37	37	NUM
ejpam-5784	491	3	]	]	PUNCT
ejpam-5784	491	4	s.	s.	PROPN
ejpam-5784	491	5	r.	r.	PROPN
ejpam-5784	491	6	moosavi	moosavi	PROPN
ejpam-5784	491	7	noori	noori	PROPN
ejpam-5784	491	8	and	and	CCONJ
ejpam-5784	491	9	n.	n.	PROPN
ejpam-5784	491	10	taghizadeh	taghizadeh	PROPN
ejpam-5784	491	11	.	.	PUNCT
ejpam-5784	492	1	study	study	NOUN
ejpam-5784	492	2	of	of	ADP
ejpam-5784	492	3	convergence	convergence	NOUN
ejpam-5784	492	4	of	of	ADP
ejpam-5784	492	5	reduced	reduce	VERB
ejpam-5784	492	6	differential	differential	ADJ
ejpam-5784	492	7	transform	transform	NOUN
ejpam-5784	492	8	method	method	NOUN
ejpam-5784	492	9	for	for	ADP
ejpam-5784	492	10	different	different	ADJ
ejpam-5784	492	11	classes	class	NOUN
ejpam-5784	492	12	of	of	ADP
ejpam-5784	492	13	differential	differential	ADJ
ejpam-5784	492	14	equations	equation	NOUN
ejpam-5784	492	15	.	.	PUNCT
ejpam-5784	493	1	international	international	ADJ
ejpam-5784	493	2	journal	journal	PROPN
ejpam-5784	493	3	of	of	ADP
ejpam-5784	493	4	differential	differential	ADJ
ejpam-5784	493	5	equations	equation	NOUN
ejpam-5784	493	6	,	,	PUNCT
ejpam-5784	493	7	page	page	NOUN
ejpam-5784	493	8	6696414	6696414	NUM
ejpam-5784	493	9	,	,	PUNCT
ejpam-5784	493	10	2021	2021	NUM
ejpam-5784	493	11	.	.	PUNCT
ejpam-5784	494	1	[	[	X
ejpam-5784	494	2	38	38	NUM
ejpam-5784	494	3	]	]	PUNCT
ejpam-5784	494	4	k.	k.	PROPN
ejpam-5784	494	5	oldham	oldham	PROPN
ejpam-5784	494	6	and	and	CCONJ
ejpam-5784	494	7	j.	j.	PROPN
ejpam-5784	494	8	spanier	spanier	PROPN
ejpam-5784	494	9	.	.	PUNCT
ejpam-5784	495	1	the	the	DET
ejpam-5784	495	2	fractional	fractional	ADJ
ejpam-5784	495	3	calculus	calculus	NOUN
ejpam-5784	495	4	:	:	PUNCT
ejpam-5784	495	5	theory	theory	NOUN
ejpam-5784	495	6	and	and	CCONJ
ejpam-5784	495	7	applications	application	NOUN
ejpam-5784	495	8	of	of	ADP
ejpam-5784	495	9	differentiation	differentiation	NOUN
ejpam-5784	495	10	and	and	CCONJ
ejpam-5784	495	11	integration	integration	NOUN
ejpam-5784	495	12	to	to	ADP
ejpam-5784	495	13	arbitrary	arbitrary	ADJ
ejpam-5784	495	14	order	order	NOUN
ejpam-5784	495	15	.	.	PUNCT
ejpam-5784	496	1	academic	academic	ADJ
ejpam-5784	496	2	press	press	NOUN
ejpam-5784	496	3	,	,	PUNCT
ejpam-5784	496	4	new	new	PROPN
ejpam-5784	496	5	york	york	PROPN
ejpam-5784	496	6	,	,	PUNCT
ejpam-5784	496	7	1974	1974	NUM
ejpam-5784	496	8	.	.	PUNCT
ejpam-5784	497	1	[	[	X
ejpam-5784	497	2	39	39	NUM
ejpam-5784	497	3	]	]	PUNCT
ejpam-5784	497	4	k.	k.	PROPN
ejpam-5784	497	5	m.	m.	PROPN
ejpam-5784	497	6	owolabi	owolabi	NOUN
ejpam-5784	497	7	.	.	PUNCT
ejpam-5784	498	1	riemann	riemann	PROPN
ejpam-5784	498	2	–	–	PUNCT
ejpam-5784	498	3	liouville	liouville	VERB
ejpam-5784	498	4	fractional	fractional	ADJ
ejpam-5784	498	5	derivative	derivative	NOUN
ejpam-5784	498	6	and	and	CCONJ
ejpam-5784	498	7	application	application	NOUN
ejpam-5784	498	8	to	to	PART
ejpam-5784	498	9	model	model	VERB
ejpam-5784	498	10	chaotic	chaotic	ADJ
ejpam-5784	498	11	differential	differential	NOUN
ejpam-5784	498	12	equations	equation	NOUN
ejpam-5784	498	13	.	.	PUNCT
ejpam-5784	499	1	progress	progress	NOUN
ejpam-5784	499	2	in	in	ADP
ejpam-5784	499	3	fractional	fractional	ADJ
ejpam-5784	499	4	differentiation	differentiation	NOUN
ejpam-5784	499	5	and	and	CCONJ
ejpam-5784	499	6	applications	application	NOUN
ejpam-5784	499	7	,	,	PUNCT
ejpam-5784	499	8	4(2):99–111	4(2):99–111	NUM
ejpam-5784	499	9	,	,	PUNCT
ejpam-5784	499	10	2018	2018	NUM
ejpam-5784	499	11	.	.	PUNCT
ejpam-5784	500	1	[	[	X
ejpam-5784	500	2	40	40	NUM
ejpam-5784	500	3	]	]	PUNCT
ejpam-5784	500	4	i.	i.	NOUN
ejpam-5784	500	5	podlubny	podlubny	PROPN
ejpam-5784	500	6	.	.	PUNCT
ejpam-5784	501	1	fractional	fractional	ADJ
ejpam-5784	501	2	differential	differential	ADJ
ejpam-5784	501	3	equations	equation	NOUN
ejpam-5784	501	4	:	:	PUNCT
ejpam-5784	501	5	an	an	DET
ejpam-5784	501	6	introduction	introduction	NOUN
ejpam-5784	501	7	to	to	ADP
ejpam-5784	501	8	fractional	fractional	ADJ
ejpam-5784	501	9	derivatives	derivative	NOUN
ejpam-5784	501	10	,	,	PUNCT
ejpam-5784	501	11	fractional	fractional	ADJ
ejpam-5784	501	12	differential	differential	ADJ
ejpam-5784	501	13	equations	equation	NOUN
ejpam-5784	501	14	,	,	PUNCT
ejpam-5784	501	15	to	to	ADP
ejpam-5784	501	16	methods	method	NOUN
ejpam-5784	501	17	of	of	ADP
ejpam-5784	501	18	their	their	PRON
ejpam-5784	501	19	solution	solution	NOUN
ejpam-5784	501	20	and	and	CCONJ
ejpam-5784	501	21	some	some	PRON
ejpam-5784	501	22	of	of	ADP
ejpam-5784	501	23	their	their	PRON
ejpam-5784	501	24	applications	application	NOUN
ejpam-5784	501	25	,	,	PUNCT
ejpam-5784	501	26	volume	volume	NOUN
ejpam-5784	501	27	198	198	NUM
ejpam-5784	501	28	.	.	PUNCT
ejpam-5784	502	1	elsevier	elsevier	PROPN
ejpam-5784	502	2	,	,	PUNCT
ejpam-5784	502	3	amsterdam	amsterdam	PROPN
ejpam-5784	502	4	,	,	PUNCT
ejpam-5784	502	5	the	the	DET
ejpam-5784	502	6	netherlands	netherlands	PROPN
ejpam-5784	502	7	,	,	PUNCT
ejpam-5784	502	8	1998	1998	NUM
ejpam-5784	502	9	.	.	PUNCT
ejpam-5784	503	1	[	[	X
ejpam-5784	503	2	41	41	NUM
ejpam-5784	503	3	]	]	PUNCT
ejpam-5784	503	4	m.	m.	NOUN
ejpam-5784	503	5	qayyum	qayyum	PROPN
ejpam-5784	503	6	and	and	CCONJ
ejpam-5784	503	7	a.	a.	PROPN
ejpam-5784	503	8	khan	khan	PROPN
ejpam-5784	503	9	.	.	PUNCT
ejpam-5784	504	1	constructing	construct	VERB
ejpam-5784	504	2	and	and	CCONJ
ejpam-5784	504	3	predicting	predict	VERB
ejpam-5784	504	4	solutions	solution	NOUN
ejpam-5784	504	5	for	for	ADP
ejpam-5784	504	6	different	different	ADJ
ejpam-5784	504	7	families	family	NOUN
ejpam-5784	504	8	of	of	ADP
ejpam-5784	504	9	partial	partial	ADJ
ejpam-5784	504	10	differential	differential	NOUN
ejpam-5784	504	11	equations	equation	NOUN
ejpam-5784	504	12	:	:	PUNCT
ejpam-5784	504	13	a	a	DET
ejpam-5784	504	14	reliable	reliable	ADJ
ejpam-5784	504	15	algorithm	algorithm	NOUN
ejpam-5784	504	16	.	.	PUNCT
ejpam-5784	505	1	journal	journal	NOUN
ejpam-5784	505	2	of	of	ADP
ejpam-5784	505	3	mathematics	mathematics	PROPN
ejpam-5784	505	4	,	,	PUNCT
ejpam-5784	505	5	2022:8431229	2022:8431229	NUM
ejpam-5784	505	6	,	,	PUNCT
ejpam-5784	505	7	2022	2022	NUM
ejpam-5784	505	8	.	.	PUNCT
ejpam-5784	506	1	[	[	X
ejpam-5784	506	2	42	42	NUM
ejpam-5784	506	3	]	]	PUNCT
ejpam-5784	506	4	k.	k.	PROPN
ejpam-5784	506	5	m.	m.	PROPN
ejpam-5784	506	6	saad	saad	PROPN
ejpam-5784	506	7	,	,	PUNCT
ejpam-5784	506	8	e.	e.	PROPN
ejpam-5784	506	9	h.	h.	PROPN
ejpam-5784	506	10	al	al	PROPN
ejpam-5784	506	11	-	-	PUNCT
ejpam-5784	506	12	shareef	shareef	PROPN
ejpam-5784	506	13	,	,	PUNCT
ejpam-5784	506	14	m.	m.	NOUN
ejpam-5784	506	15	s.	s.	PROPN
ejpam-5784	506	16	mohamed	mohamed	PROPN
ejpam-5784	506	17	,	,	PUNCT
ejpam-5784	506	18	and	and	CCONJ
ejpam-5784	506	19	x.	x.	PROPN
ejpam-5784	506	20	j.	j.	PROPN
ejpam-5784	506	21	yang	yang	PROPN
ejpam-5784	506	22	.	.	PUNCT
ejpam-5784	507	1	optimal	optimal	ADJ
ejpam-5784	507	2	q	q	ADJ
ejpam-5784	507	3	-	-	PUNCT
ejpam-5784	507	4	homotopy	homotopy	NOUN
ejpam-5784	507	5	analysis	analysis	NOUN
ejpam-5784	507	6	method	method	NOUN
ejpam-5784	507	7	for	for	ADP
ejpam-5784	507	8	time	time	NOUN
ejpam-5784	507	9	-	-	PUNCT
ejpam-5784	507	10	space	space	NOUN
ejpam-5784	507	11	fractional	fractional	ADJ
ejpam-5784	507	12	gas	gas	NOUN
ejpam-5784	507	13	dynamics	dynamic	NOUN
ejpam-5784	507	14	equation	equation	NOUN
ejpam-5784	507	15	.	.	PUNCT
ejpam-5784	508	1	the	the	DET
ejpam-5784	508	2	european	european	PROPN
ejpam-5784	508	3	physical	physical	PROPN
ejpam-5784	508	4	journal	journal	PROPN
ejpam-5784	508	5	plus	plus	CCONJ
ejpam-5784	508	6	,	,	PUNCT
ejpam-5784	508	7	132:1–11	132:1–11	NUM
ejpam-5784	508	8	,	,	PUNCT
ejpam-5784	508	9	2017	2017	NUM
ejpam-5784	508	10	.	.	PUNCT
ejpam-5784	509	1	[	[	X
ejpam-5784	509	2	43	43	NUM
ejpam-5784	509	3	]	]	X
ejpam-5784	509	4	h.	h.	PROPN
ejpam-5784	509	5	m.	m.	PROPN
ejpam-5784	509	6	srivastava	srivastava	PROPN
ejpam-5784	509	7	,	,	PUNCT
ejpam-5784	509	8	a	a	PROPN
ejpam-5784	509	9	-	-	PUNCT
ejpam-5784	509	10	k.	k.	NOUN
ejpam-5784	509	11	n.	n.	PROPN
ejpam-5784	509	12	alomari	alomari	PROPN
ejpam-5784	509	13	,	,	PUNCT
ejpam-5784	509	14	k.	k.	PROPN
ejpam-5784	509	15	m.	m.	PROPN
ejpam-5784	509	16	saad	saad	PROPN
ejpam-5784	509	17	,	,	PUNCT
ejpam-5784	509	18	and	and	CCONJ
ejpam-5784	509	19	w.	w.	PROPN
ejpam-5784	509	20	m.	m.	PROPN
ejpam-5784	509	21	hamanah	hamanah	PROPN
ejpam-5784	509	22	.	.	PUNCT
ejpam-5784	510	1	some	some	DET
ejpam-5784	510	2	dynamical	dynamical	ADJ
ejpam-5784	510	3	models	model	NOUN
ejpam-5784	510	4	involving	involve	VERB
ejpam-5784	510	5	fractional	fractional	ADJ
ejpam-5784	510	6	-	-	PUNCT
ejpam-5784	510	7	order	order	NOUN
ejpam-5784	510	8	derivatives	derivative	NOUN
ejpam-5784	510	9	with	with	ADP
ejpam-5784	510	10	the	the	DET
ejpam-5784	510	11	mittag	mittag	ADJ
ejpam-5784	510	12	-	-	PUNCT
ejpam-5784	510	13	leffler	leffler	NOUN
ejpam-5784	510	14	type	type	NOUN
ejpam-5784	510	15	kernels	kernel	NOUN
ejpam-5784	510	16	and	and	CCONJ
ejpam-5784	510	17	their	their	PRON
ejpam-5784	510	18	applications	application	NOUN
ejpam-5784	510	19	based	base	VERB
ejpam-5784	510	20	upon	upon	SCONJ
ejpam-5784	510	21	the	the	DET
ejpam-5784	510	22	legendre	legendre	PROPN
ejpam-5784	510	23	spectral	spectral	ADJ
ejpam-5784	510	24	collocation	collocation	NOUN
ejpam-5784	510	25	method	method	NOUN
ejpam-5784	510	26	.	.	PUNCT
ejpam-5784	511	1	fractal	fractal	ADJ
ejpam-5784	511	2	and	and	CCONJ
ejpam-5784	511	3	fractional	fractional	ADJ
ejpam-5784	511	4	,	,	PUNCT
ejpam-5784	511	5	5:131	5:131	NUM
ejpam-5784	511	6	,	,	PUNCT
ejpam-5784	511	7	2021	2021	NUM
ejpam-5784	511	8	.	.	PUNCT
ejpam-5784	512	1	m.	m.	PROPN
ejpam-5784	512	2	alaroud	alaroud	PROPN
ejpam-5784	512	3	,	,	PUNCT
ejpam-5784	512	4	f.	f.	PROPN
ejpam-5784	512	5	aldosari	aldosari	PROPN
ejpam-5784	512	6	/	/	SYM
ejpam-5784	512	7	eur	eur	PROPN
ejpam-5784	512	8	.	.	PUNCT
ejpam-5784	513	1	j.	j.	PROPN
ejpam-5784	513	2	pure	pure	PROPN
ejpam-5784	513	3	appl	appl	PROPN
ejpam-5784	513	4	.	.	PROPN
ejpam-5784	513	5	math	math	PROPN
ejpam-5784	513	6	,	,	PUNCT
ejpam-5784	513	7	18	18	NUM
ejpam-5784	513	8	(	(	PUNCT
ejpam-5784	513	9	1	1	NUM
ejpam-5784	513	10	)	)	PUNCT
ejpam-5784	513	11	(	(	PUNCT
ejpam-5784	513	12	2025	2025	NUM
ejpam-5784	513	13	)	)	PUNCT
ejpam-5784	513	14	,	,	PUNCT
ejpam-5784	513	15	5784	5784	NUM
ejpam-5784	513	16	25	25	NUM
ejpam-5784	513	17	of	of	ADP
ejpam-5784	513	18	25	25	NUM
ejpam-5784	514	1	[	[	SYM
ejpam-5784	514	2	44	44	NUM
ejpam-5784	514	3	]	]	PUNCT
ejpam-5784	514	4	v.	v.	PROPN
ejpam-5784	514	5	k.	k.	PROPN
ejpam-5784	514	6	srivastava	srivastava	PROPN
ejpam-5784	514	7	,	,	PUNCT
ejpam-5784	514	8	m.	m.	PROPN
ejpam-5784	514	9	k.	k.	PROPN
ejpam-5784	514	10	awasthi	awasthi	PROPN
ejpam-5784	514	11	,	,	PUNCT
ejpam-5784	514	12	and	and	CCONJ
ejpam-5784	514	13	s.	s.	PROPN
ejpam-5784	514	14	singh	singh	PROPN
ejpam-5784	514	15	.	.	PUNCT
ejpam-5784	515	1	an	an	DET
ejpam-5784	515	2	implicit	implicit	ADJ
ejpam-5784	515	3	logarithmic	logarithmic	ADJ
ejpam-5784	515	4	finitedifference	finitedifference	NOUN
ejpam-5784	515	5	technique	technique	NOUN
ejpam-5784	515	6	for	for	ADP
ejpam-5784	515	7	two	two	NUM
ejpam-5784	515	8	dimensional	dimensional	ADJ
ejpam-5784	515	9	coupled	couple	VERB
ejpam-5784	515	10	viscous	viscous	ADJ
ejpam-5784	515	11	burgers	burger	NOUN
ejpam-5784	515	12	’	'	PUNCT
ejpam-5784	515	13	equation	equation	NOUN
ejpam-5784	515	14	.	.	PUNCT
ejpam-5784	516	1	aip	aip	PROPN
ejpam-5784	516	2	advances	advance	NOUN
ejpam-5784	516	3	,	,	PUNCT
ejpam-5784	516	4	3(12	3(12	NUM
ejpam-5784	516	5	)	)	PUNCT
ejpam-5784	516	6	,	,	PUNCT
ejpam-5784	516	7	2013	2013	NUM
ejpam-5784	516	8	.	.	PUNCT
ejpam-5784	517	1	[	[	X
ejpam-5784	517	2	45	45	NUM
ejpam-5784	517	3	]	]	PUNCT
ejpam-5784	517	4	t.	t.	PROPN
ejpam-5784	517	5	a.	a.	PROPN
ejpam-5784	517	6	sulaiman	sulaiman	PROPN
ejpam-5784	517	7	,	,	PUNCT
ejpam-5784	517	8	m.	m.	PROPN
ejpam-5784	517	9	yavuz	yavuz	PROPN
ejpam-5784	517	10	,	,	PUNCT
ejpam-5784	517	11	h.	h.	PROPN
ejpam-5784	517	12	bulut	bulut	PROPN
ejpam-5784	517	13	,	,	PUNCT
ejpam-5784	517	14	and	and	CCONJ
ejpam-5784	517	15	h.	h.	PROPN
ejpam-5784	517	16	m.	m.	PROPN
ejpam-5784	517	17	baskonus	baskonus	PROPN
ejpam-5784	517	18	.	.	PUNCT
ejpam-5784	518	1	investigation	investigation	NOUN
ejpam-5784	518	2	of	of	ADP
ejpam-5784	518	3	the	the	DET
ejpam-5784	518	4	fractional	fractional	ADJ
ejpam-5784	518	5	coupled	couple	VERB
ejpam-5784	518	6	viscous	viscous	ADJ
ejpam-5784	518	7	burgers	burger	NOUN
ejpam-5784	518	8	’	'	PUNCT
ejpam-5784	518	9	equation	equation	NOUN
ejpam-5784	518	10	involving	involve	VERB
ejpam-5784	518	11	mittag	mittag	ADJ
ejpam-5784	518	12	-	-	PUNCT
ejpam-5784	518	13	leffler	leffler	NOUN
ejpam-5784	518	14	kernel	kernel	NOUN
ejpam-5784	518	15	.	.	PUNCT
ejpam-5784	519	1	physica	physica	PROPN
ejpam-5784	519	2	a	a	DET
ejpam-5784	519	3	:	:	PUNCT
ejpam-5784	519	4	statistical	statistical	ADJ
ejpam-5784	519	5	mechanics	mechanic	NOUN
ejpam-5784	519	6	and	and	CCONJ
ejpam-5784	519	7	its	its	PRON
ejpam-5784	519	8	applications	application	NOUN
ejpam-5784	519	9	,	,	PUNCT
ejpam-5784	519	10	527:121126	527:121126	NUM
ejpam-5784	519	11	,	,	PUNCT
ejpam-5784	519	12	2019	2019	NUM
ejpam-5784	519	13	.	.	PUNCT
ejpam-5784	520	1	[	[	X
ejpam-5784	520	2	46	46	NUM
ejpam-5784	520	3	]	]	X
ejpam-5784	520	4	o.	o.	PROPN
ejpam-5784	520	5	tasbozan	tasbozan	PROPN
ejpam-5784	520	6	,	,	PUNCT
ejpam-5784	520	7	m.	m.	NOUN
ejpam-5784	520	8	şenol	şenol	PROPN
ejpam-5784	520	9	,	,	PUNCT
ejpam-5784	520	10	a.	a.	NOUN
ejpam-5784	520	11	kurt	kurt	PROPN
ejpam-5784	520	12	,	,	PUNCT
ejpam-5784	520	13	and	and	CCONJ
ejpam-5784	520	14	o.	o.	PROPN
ejpam-5784	520	15	özkan	özkan	PROPN
ejpam-5784	520	16	.	.	PUNCT
ejpam-5784	521	1	new	new	ADJ
ejpam-5784	521	2	solutions	solution	NOUN
ejpam-5784	521	3	of	of	ADP
ejpam-5784	521	4	fractional	fractional	ADJ
ejpam-5784	521	5	drinfeldsokolov	drinfeldsokolov	NOUN
ejpam-5784	521	6	-	-	PUNCT
ejpam-5784	521	7	wilson	wilson	NOUN
ejpam-5784	521	8	system	system	NOUN
ejpam-5784	521	9	in	in	ADP
ejpam-5784	521	10	shallow	shallow	ADJ
ejpam-5784	521	11	water	water	NOUN
ejpam-5784	521	12	waves	wave	NOUN
ejpam-5784	521	13	.	.	PUNCT
ejpam-5784	522	1	ocean	ocean	NOUN
ejpam-5784	522	2	engineering	engineering	PROPN
ejpam-5784	522	3	,	,	PUNCT
ejpam-5784	522	4	161:62–68	161:62–68	NUM
ejpam-5784	522	5	,	,	PUNCT
ejpam-5784	522	6	2018	2018	NUM
ejpam-5784	522	7	.	.	PUNCT
ejpam-5784	523	1	[	[	X
ejpam-5784	523	2	47	47	NUM
ejpam-5784	523	3	]	]	PUNCT
ejpam-5784	523	4	r.	r.	PROPN
ejpam-5784	523	5	wang	wang	PROPN
ejpam-5784	523	6	,	,	PUNCT
ejpam-5784	523	7	q.	q.	PROPN
ejpam-5784	523	8	feng	feng	PROPN
ejpam-5784	523	9	,	,	PUNCT
ejpam-5784	523	10	and	and	CCONJ
ejpam-5784	523	11	j.	j.	PROPN
ejpam-5784	523	12	ji	ji	PROPN
ejpam-5784	523	13	.	.	PUNCT
ejpam-5784	524	1	the	the	DET
ejpam-5784	524	2	discrete	discrete	ADJ
ejpam-5784	524	3	convolution	convolution	NOUN
ejpam-5784	524	4	for	for	ADP
ejpam-5784	524	5	fractional	fractional	ADJ
ejpam-5784	524	6	cosine	cosine	NOUN
ejpam-5784	524	7	-	-	PUNCT
ejpam-5784	524	8	sine	sine	ADJ
ejpam-5784	524	9	series	series	NOUN
ejpam-5784	524	10	and	and	CCONJ
ejpam-5784	524	11	its	its	PRON
ejpam-5784	524	12	application	application	NOUN
ejpam-5784	524	13	in	in	ADP
ejpam-5784	524	14	convolution	convolution	NOUN
ejpam-5784	524	15	equations	equation	NOUN
ejpam-5784	524	16	.	.	PUNCT
ejpam-5784	525	1	aims	aim	VERB
ejpam-5784	525	2	mathematics	mathematic	NOUN
ejpam-5784	525	3	,	,	PUNCT
ejpam-5784	525	4	9(2):2641–2656	9(2):2641–2656	PROPN
ejpam-5784	525	5	,	,	PUNCT
ejpam-5784	525	6	2024	2024	NUM
ejpam-5784	525	7	.	.	PUNCT
ejpam-5784	526	1	[	[	X
ejpam-5784	526	2	48	48	NUM
ejpam-5784	526	3	]	]	PUNCT
ejpam-5784	526	4	y.	y.	PROPN
ejpam-5784	526	5	y.	y.	PROPN
ejpam-5784	526	6	wang	wang	PROPN
ejpam-5784	526	7	,	,	PUNCT
ejpam-5784	526	8	y.	y.	PROPN
ejpam-5784	526	9	p.	p.	PROPN
ejpam-5784	526	10	zhang	zhang	PROPN
ejpam-5784	526	11	,	,	PUNCT
ejpam-5784	526	12	and	and	CCONJ
ejpam-5784	526	13	c.	c.	PROPN
ejpam-5784	526	14	q.	q.	PROPN
ejpam-5784	526	15	dai	dai	PROPN
ejpam-5784	526	16	.	.	PROPN
ejpam-5784	526	17	re	re	PROPN
ejpam-5784	526	18	-	-	VERB
ejpam-5784	526	19	study	study	VERB
ejpam-5784	526	20	on	on	ADP
ejpam-5784	526	21	localized	localized	ADJ
ejpam-5784	526	22	structures	structure	NOUN
ejpam-5784	526	23	based	base	VERB
ejpam-5784	526	24	on	on	ADP
ejpam-5784	526	25	variable	variable	ADJ
ejpam-5784	526	26	separation	separation	NOUN
ejpam-5784	526	27	solutions	solution	NOUN
ejpam-5784	526	28	from	from	ADP
ejpam-5784	526	29	the	the	DET
ejpam-5784	526	30	modified	modify	VERB
ejpam-5784	526	31	tanh	tanh	NOUN
ejpam-5784	526	32	-	-	PUNCT
ejpam-5784	526	33	function	function	NOUN
ejpam-5784	526	34	method	method	NOUN
ejpam-5784	526	35	.	.	PUNCT
ejpam-5784	527	1	nonlinear	nonlinear	ADJ
ejpam-5784	527	2	dynamics	dynamic	NOUN
ejpam-5784	527	3	,	,	PUNCT
ejpam-5784	527	4	83(3):1331–1339	83(3):1331–1339	NUM
ejpam-5784	527	5	,	,	PUNCT
ejpam-5784	527	6	2016	2016	NUM
ejpam-5784	527	7	.	.	PUNCT
ejpam-5784	528	1	[	[	X
ejpam-5784	528	2	49	49	NUM
ejpam-5784	528	3	]	]	PUNCT
ejpam-5784	528	4	g.	g.	PROPN
ejpam-5784	528	5	wilson	wilson	PROPN
ejpam-5784	528	6	.	.	PUNCT
ejpam-5784	529	1	the	the	DET
ejpam-5784	529	2	affine	affine	NOUN
ejpam-5784	529	3	lie	lie	NOUN
ejpam-5784	529	4	algebra	algebra	PROPN
ejpam-5784	529	5	c	c	PROPN
ejpam-5784	529	6	(	(	PUNCT
ejpam-5784	529	7	1	1	NUM
ejpam-5784	529	8	)	)	PUNCT
ejpam-5784	529	9	2	2	NUM
ejpam-5784	529	10	and	and	CCONJ
ejpam-5784	529	11	an	an	DET
ejpam-5784	529	12	equation	equation	NOUN
ejpam-5784	529	13	of	of	ADP
ejpam-5784	529	14	hirota	hirota	PROPN
ejpam-5784	529	15	and	and	CCONJ
ejpam-5784	529	16	satsuma	satsuma	PROPN
ejpam-5784	529	17	.	.	PUNCT
ejpam-5784	530	1	physics	physics	NOUN
ejpam-5784	530	2	letters	letters	PROPN
ejpam-5784	530	3	a	a	DET
ejpam-5784	530	4	,	,	PUNCT
ejpam-5784	530	5	89(7):332–334	89(7):332–334	PROPN
ejpam-5784	530	6	,	,	PUNCT
ejpam-5784	530	7	1982	1982	NUM
ejpam-5784	530	8	.	.	PUNCT
ejpam-5784	531	1	[	[	X
ejpam-5784	531	2	50	50	NUM
ejpam-5784	531	3	]	]	PUNCT
ejpam-5784	531	4	j.	j.	PROPN
ejpam-5784	531	5	zhang	zhang	PROPN
ejpam-5784	531	6	and	and	CCONJ
ejpam-5784	531	7	x.	x.	PROPN
ejpam-5784	531	8	tian	tian	PROPN
ejpam-5784	531	9	.	.	PUNCT
ejpam-5784	532	1	laplace	laplace	NOUN
ejpam-5784	532	2	-	-	PUNCT
ejpam-5784	532	3	residual	residual	ADJ
ejpam-5784	532	4	power	power	NOUN
ejpam-5784	532	5	series	series	NOUN
ejpam-5784	532	6	method	method	NOUN
ejpam-5784	532	7	for	for	ADP
ejpam-5784	532	8	solving	solve	VERB
ejpam-5784	532	9	fractional	fractional	ADJ
ejpam-5784	532	10	generalized	generalize	VERB
ejpam-5784	532	11	long	long	ADJ
ejpam-5784	532	12	wave	wave	NOUN
ejpam-5784	532	13	equations	equation	NOUN
ejpam-5784	532	14	.	.	PUNCT
ejpam-5784	533	1	ocean	ocean	PROPN
ejpam-5784	533	2	engineering	engineering	PROPN
ejpam-5784	533	3	,	,	PUNCT
ejpam-5784	533	4	310:118693	310:118693	NUM
ejpam-5784	533	5	,	,	PUNCT
ejpam-5784	533	6	2024	2024	NUM
ejpam-5784	533	7	.	.	PUNCT