id	sid	tid	token	lemma	pos
ejpam-6626	1	1	european	european	PROPN
ejpam-6626	1	2	journal	journal	PROPN
ejpam-6626	1	3	of	of	ADP
ejpam-6626	1	4	pure	pure	ADJ
ejpam-6626	1	5	and	and	CCONJ
ejpam-6626	1	6	applied	applied	ADJ
ejpam-6626	1	7	mathematics	mathematic	NOUN
ejpam-6626	1	8	2025	2025	NUM
ejpam-6626	1	9	,	,	PUNCT
ejpam-6626	1	10	vol	vol	NOUN
ejpam-6626	1	11	.	.	PROPN
ejpam-6626	1	12	18	18	NUM
ejpam-6626	1	13	,	,	PUNCT
ejpam-6626	1	14	issue	issue	NOUN
ejpam-6626	1	15	3	3	NUM
ejpam-6626	1	16	,	,	PUNCT
ejpam-6626	1	17	article	article	NOUN
ejpam-6626	1	18	number	number	NOUN
ejpam-6626	1	19	6626	6626	NUM
ejpam-6626	1	20	issn	issn	PROPN
ejpam-6626	1	21	1307	1307	NUM
ejpam-6626	1	22	-	-	SYM
ejpam-6626	1	23	5543	5543	NUM
ejpam-6626	1	24	–	–	PUNCT
ejpam-6626	1	25	ejpam.com	ejpam.com	X
ejpam-6626	1	26	published	publish	VERB
ejpam-6626	1	27	by	by	ADP
ejpam-6626	1	28	new	new	PROPN
ejpam-6626	1	29	york	york	PROPN
ejpam-6626	1	30	business	business	PROPN
ejpam-6626	1	31	global	global	PROPN
ejpam-6626	1	32	a	a	DET
ejpam-6626	1	33	comparative	comparative	ADJ
ejpam-6626	1	34	analysis	analysis	NOUN
ejpam-6626	1	35	of	of	ADP
ejpam-6626	1	36	the	the	DET
ejpam-6626	1	37	non	non	ADJ
ejpam-6626	1	38	-	-	ADJ
ejpam-6626	1	39	linear	linear	ADJ
ejpam-6626	1	40	time	time	NOUN
ejpam-6626	1	41	fractional	fractional	ADJ
ejpam-6626	1	42	whitham	whitham	NOUN
ejpam-6626	1	43	-	-	PUNCT
ejpam-6626	1	44	broer	broer	NOUN
ejpam-6626	1	45	-	-	PUNCT
ejpam-6626	1	46	kaup	kaup	PROPN
ejpam-6626	1	47	equations	equation	NOUN
ejpam-6626	1	48	under	under	ADP
ejpam-6626	1	49	aboodh	aboodh	ADJ
ejpam-6626	1	50	decomposition	decomposition	NOUN
ejpam-6626	1	51	transform	transform	VERB
ejpam-6626	1	52	ilhem	ilhem	PROPN
ejpam-6626	1	53	kadri1,∗	kadri1,∗	NOUN
ejpam-6626	1	54	,	,	PUNCT
ejpam-6626	1	55	hami	hami	PROPN
ejpam-6626	1	56	gundogdu2	gundogdu2	PROPN
ejpam-6626	1	57	,	,	PUNCT
ejpam-6626	1	58	yousif	yousif	PROPN
ejpam-6626	1	59	m.	m.	PROPN
ejpam-6626	1	60	modawy3	modawy3	PROPN
ejpam-6626	1	61	,	,	PUNCT
ejpam-6626	1	62	ayman	ayman	PROPN
ejpam-6626	1	63	imam3	imam3	PROPN
ejpam-6626	1	64	,	,	PUNCT
ejpam-6626	1	65	khadeeja	khadeeja	PROPN
ejpam-6626	1	66	a.	a.	PROPN
ejpam-6626	1	67	a.	a.	PROPN
ejpam-6626	1	68	helal4	helal4	PROPN
ejpam-6626	1	69	,	,	PUNCT
ejpam-6626	1	70	ibrahim	ibrahim	PROPN
ejpam-6626	1	71	elshamy3,5	elshamy3,5	PROPN
ejpam-6626	1	72	,	,	PUNCT
ejpam-6626	1	73	ranya	ranya	PROPN
ejpam-6626	1	74	a.	a.	NOUN
ejpam-6626	1	75	tahir6	tahir6	PROPN
ejpam-6626	2	1	1	1	NUM
ejpam-6626	2	2	department	department	NOUN
ejpam-6626	2	3	of	of	ADP
ejpam-6626	2	4	mathematics	mathematic	NOUN
ejpam-6626	2	5	,	,	PUNCT
ejpam-6626	2	6	university	university	NOUN
ejpam-6626	2	7	of	of	ADP
ejpam-6626	2	8	oran	oran	ADJ
ejpam-6626	2	9	1	1	NUM
ejpam-6626	2	10	ahmed	ahmed	PROPN
ejpam-6626	2	11	ben	ben	PROPN
ejpam-6626	2	12	bella	bella	PROPN
ejpam-6626	2	13	,	,	PUNCT
ejpam-6626	2	14	oran	oran	NOUN
ejpam-6626	2	15	,	,	PUNCT
ejpam-6626	2	16	algeria	algeria	PROPN
ejpam-6626	2	17	2	2	NUM
ejpam-6626	2	18	department	department	NOUN
ejpam-6626	2	19	of	of	ADP
ejpam-6626	2	20	mathematics	mathematic	NOUN
ejpam-6626	2	21	,	,	PUNCT
ejpam-6626	2	22	sakarya	sakarya	NOUN
ejpam-6626	2	23	university	university	NOUN
ejpam-6626	2	24	,	,	PUNCT
ejpam-6626	2	25	serdivan	serdivan	PROPN
ejpam-6626	2	26	,	,	PUNCT
ejpam-6626	2	27	turkey	turkey	PROPN
ejpam-6626	2	28	3	3	NUM
ejpam-6626	2	29	department	department	NOUN
ejpam-6626	2	30	of	of	ADP
ejpam-6626	2	31	mathematics	mathematics	PROPN
ejpam-6626	2	32	,	,	PUNCT
ejpam-6626	2	33	al	al	PROPN
ejpam-6626	2	34	-	-	PUNCT
ejpam-6626	2	35	baha	baha	PROPN
ejpam-6626	2	36	university	university	PROPN
ejpam-6626	2	37	,	,	PUNCT
ejpam-6626	2	38	al	al	PROPN
ejpam-6626	2	39	-	-	PUNCT
ejpam-6626	2	40	aqiq	aqiq	PROPN
ejpam-6626	2	41	,	,	PUNCT
ejpam-6626	2	42	saudi	saudi	PROPN
ejpam-6626	2	43	arabia	arabia	PROPN
ejpam-6626	2	44	4	4	NUM
ejpam-6626	2	45	department	department	NOUN
ejpam-6626	2	46	of	of	ADP
ejpam-6626	2	47	mathematics	mathematic	NOUN
ejpam-6626	2	48	,	,	PUNCT
ejpam-6626	2	49	faculty	faculty	NOUN
ejpam-6626	2	50	of	of	ADP
ejpam-6626	2	51	science	science	NOUN
ejpam-6626	2	52	,	,	PUNCT
ejpam-6626	2	53	al	al	PROPN
ejpam-6626	2	54	-	-	PUNCT
ejpam-6626	2	55	baha	baha	PROPN
ejpam-6626	2	56	university	university	PROPN
ejpam-6626	2	57	,	,	PUNCT
ejpam-6626	2	58	al	al	PROPN
ejpam-6626	2	59	bahah	bahah	PROPN
ejpam-6626	2	60	,	,	PUNCT
ejpam-6626	2	61	saudi	saudi	PROPN
ejpam-6626	2	62	arabia	arabia	PROPN
ejpam-6626	2	63	5	5	NUM
ejpam-6626	2	64	higher	high	ADJ
ejpam-6626	2	65	institute	institute	NOUN
ejpam-6626	2	66	of	of	ADP
ejpam-6626	2	67	engineering	engineering	NOUN
ejpam-6626	2	68	and	and	CCONJ
ejpam-6626	2	69	technology	technology	NOUN
ejpam-6626	2	70	,	,	PUNCT
ejpam-6626	2	71	almanzala	almanzala	PROPN
ejpam-6626	2	72	,	,	PUNCT
ejpam-6626	2	73	egypt	egypt	PROPN
ejpam-6626	2	74	6	6	NUM
ejpam-6626	2	75	department	department	NOUN
ejpam-6626	2	76	of	of	ADP
ejpam-6626	2	77	mathematics	mathematics	PROPN
ejpam-6626	2	78	,	,	PUNCT
ejpam-6626	2	79	jazan	jazan	PROPN
ejpam-6626	2	80	university	university	PROPN
ejpam-6626	2	81	,	,	PUNCT
ejpam-6626	2	82	jazan	jazan	NOUN
ejpam-6626	2	83	,	,	PUNCT
ejpam-6626	2	84	saudi	saudi	PROPN
ejpam-6626	2	85	arabia	arabia	PROPN
ejpam-6626	2	86	abstract	abstract	NOUN
ejpam-6626	2	87	.	.	PUNCT
ejpam-6626	3	1	this	this	DET
ejpam-6626	3	2	article	article	NOUN
ejpam-6626	3	3	offers	offer	VERB
ejpam-6626	3	4	a	a	DET
ejpam-6626	3	5	comprehensive	comprehensive	ADJ
ejpam-6626	3	6	analysis	analysis	NOUN
ejpam-6626	3	7	of	of	ADP
ejpam-6626	3	8	nonlinear	nonlinear	ADJ
ejpam-6626	3	9	time	time	NOUN
ejpam-6626	3	10	fractional	fractional	ADJ
ejpam-6626	3	11	whithambroer	whithambroer	NOUN
ejpam-6626	3	12	-	-	PUNCT
ejpam-6626	3	13	kaup	kaup	PROPN
ejpam-6626	3	14	equations	equation	NOUN
ejpam-6626	3	15	under	under	ADP
ejpam-6626	3	16	aboodh	aboodh	ADJ
ejpam-6626	3	17	decomposition	decomposition	NOUN
ejpam-6626	3	18	transform	transform	NOUN
ejpam-6626	3	19	(	(	PUNCT
ejpam-6626	3	20	adt	adt	NOUN
ejpam-6626	3	21	)	)	PUNCT
ejpam-6626	3	22	.	.	PUNCT
ejpam-6626	4	1	the	the	DET
ejpam-6626	4	2	study	study	NOUN
ejpam-6626	4	3	model	model	NOUN
ejpam-6626	4	4	examines	examine	VERB
ejpam-6626	4	5	the	the	DET
ejpam-6626	4	6	effect	effect	NOUN
ejpam-6626	4	7	of	of	ADP
ejpam-6626	4	8	different	different	ADJ
ejpam-6626	4	9	fractional	fractional	ADJ
ejpam-6626	4	10	derivative	derivative	ADJ
ejpam-6626	4	11	operators	operator	NOUN
ejpam-6626	4	12	on	on	ADP
ejpam-6626	4	13	the	the	DET
ejpam-6626	4	14	solution	solution	NOUN
ejpam-6626	4	15	behavior	behavior	NOUN
ejpam-6626	4	16	of	of	ADP
ejpam-6626	4	17	these	these	DET
ejpam-6626	4	18	equations	equation	NOUN
ejpam-6626	4	19	by	by	ADP
ejpam-6626	4	20	comparing	compare	VERB
ejpam-6626	4	21	them	they	PRON
ejpam-6626	4	22	with	with	ADP
ejpam-6626	4	23	accuracy	accuracy	NOUN
ejpam-6626	4	24	,	,	PUNCT
ejpam-6626	4	25	calculation	calculation	NOUN
ejpam-6626	4	26	efficiency	efficiency	NOUN
ejpam-6626	4	27	,	,	PUNCT
ejpam-6626	4	28	and	and	CCONJ
ejpam-6626	4	29	physical	physical	ADJ
ejpam-6626	4	30	characteristics	characteristic	NOUN
ejpam-6626	4	31	.	.	PUNCT
ejpam-6626	5	1	by	by	ADP
ejpam-6626	5	2	employing	employ	VERB
ejpam-6626	5	3	the	the	DET
ejpam-6626	5	4	aboodh	aboodh	PROPN
ejpam-6626	5	5	transform	transform	NOUN
ejpam-6626	5	6	,	,	PUNCT
ejpam-6626	5	7	a	a	DET
ejpam-6626	5	8	mathematical	mathematical	ADJ
ejpam-6626	5	9	tool	tool	NOUN
ejpam-6626	5	10	that	that	PRON
ejpam-6626	5	11	is	be	AUX
ejpam-6626	5	12	powerful	powerful	ADJ
ejpam-6626	5	13	in	in	ADP
ejpam-6626	5	14	solving	solve	VERB
ejpam-6626	5	15	fractional	fractional	ADJ
ejpam-6626	5	16	differential	differential	ADJ
ejpam-6626	5	17	equations	equation	NOUN
ejpam-6626	5	18	by	by	ADP
ejpam-6626	5	19	implementing	implement	VERB
ejpam-6626	5	20	the	the	DET
ejpam-6626	5	21	adomian	adomian	NOUN
ejpam-6626	5	22	decomposition	decomposition	NOUN
ejpam-6626	5	23	method	method	NOUN
ejpam-6626	5	24	,	,	PUNCT
ejpam-6626	5	25	we	we	PRON
ejpam-6626	5	26	derive	derive	VERB
ejpam-6626	5	27	an	an	DET
ejpam-6626	5	28	approximate	approximate	ADJ
ejpam-6626	5	29	solutions	solution	NOUN
ejpam-6626	5	30	for	for	ADP
ejpam-6626	5	31	models	model	NOUN
ejpam-6626	5	32	assessed	assess	VERB
ejpam-6626	5	33	for	for	ADP
ejpam-6626	5	34	specific	specific	ADJ
ejpam-6626	5	35	values	value	NOUN
ejpam-6626	5	36	of	of	ADP
ejpam-6626	5	37	the	the	DET
ejpam-6626	5	38	fractional	fractional	ADJ
ejpam-6626	5	39	order	order	NOUN
ejpam-6626	5	40	;	;	PUNCT
ejpam-6626	5	41	the	the	DET
ejpam-6626	5	42	solutions	solution	NOUN
ejpam-6626	5	43	obtained	obtain	VERB
ejpam-6626	5	44	are	be	AUX
ejpam-6626	5	45	shown	show	VERB
ejpam-6626	5	46	in	in	ADP
ejpam-6626	5	47	2d	2d	NUM
ejpam-6626	5	48	and	and	CCONJ
ejpam-6626	5	49	3d	3d	NUM
ejpam-6626	5	50	.	.	PUNCT
ejpam-6626	6	1	in	in	ADP
ejpam-6626	6	2	addition	addition	NOUN
ejpam-6626	6	3	,	,	PUNCT
ejpam-6626	6	4	comparative	comparative	ADJ
ejpam-6626	6	5	analyses	analysis	NOUN
ejpam-6626	6	6	are	be	AUX
ejpam-6626	6	7	performed	perform	VERB
ejpam-6626	6	8	to	to	PART
ejpam-6626	6	9	clarify	clarify	VERB
ejpam-6626	6	10	the	the	DET
ejpam-6626	6	11	effect	effect	NOUN
ejpam-6626	6	12	of	of	ADP
ejpam-6626	6	13	various	various	ADJ
ejpam-6626	6	14	fractional	fractional	ADJ
ejpam-6626	6	15	derivative	derivative	ADJ
ejpam-6626	6	16	operators	operator	NOUN
ejpam-6626	6	17	on	on	ADP
ejpam-6626	6	18	the	the	DET
ejpam-6626	6	19	solutions	solution	NOUN
ejpam-6626	6	20	achieved	achieve	VERB
ejpam-6626	6	21	,	,	PUNCT
ejpam-6626	6	22	which	which	PRON
ejpam-6626	6	23	shows	show	VERB
ejpam-6626	6	24	the	the	DET
ejpam-6626	6	25	accuracy	accuracy	NOUN
ejpam-6626	6	26	and	and	CCONJ
ejpam-6626	6	27	efficiency	efficiency	NOUN
ejpam-6626	6	28	of	of	ADP
ejpam-6626	6	29	adt	adt	NOUN
ejpam-6626	6	30	in	in	ADP
ejpam-6626	6	31	the	the	DET
ejpam-6626	6	32	handling	handling	NOUN
ejpam-6626	6	33	of	of	ADP
ejpam-6626	6	34	these	these	DET
ejpam-6626	6	35	complex	complex	ADJ
ejpam-6626	6	36	non	non	ADJ
ejpam-6626	6	37	-	-	ADJ
ejpam-6626	6	38	linear	linear	ADJ
ejpam-6626	6	39	fractional	fractional	ADJ
ejpam-6626	6	40	partial	partial	ADJ
ejpam-6626	6	41	differential	differential	NOUN
ejpam-6626	6	42	equations	equation	NOUN
ejpam-6626	6	43	.	.	PUNCT
ejpam-6626	7	1	furthermore	furthermore	ADV
ejpam-6626	7	2	,	,	PUNCT
ejpam-6626	7	3	the	the	DET
ejpam-6626	7	4	exact	exact	ADJ
ejpam-6626	7	5	and	and	CCONJ
ejpam-6626	7	6	approximate	approximate	ADJ
ejpam-6626	7	7	solutions	solution	NOUN
ejpam-6626	7	8	are	be	AUX
ejpam-6626	7	9	compared	compare	VERB
ejpam-6626	7	10	to	to	ADP
ejpam-6626	7	11	the	the	DET
ejpam-6626	7	12	constructed	construct	VERB
ejpam-6626	7	13	problem	problem	NOUN
ejpam-6626	7	14	to	to	PART
ejpam-6626	7	15	identify	identify	VERB
ejpam-6626	7	16	the	the	DET
ejpam-6626	7	17	absolute	absolute	ADJ
ejpam-6626	7	18	errors	error	NOUN
ejpam-6626	7	19	.	.	PUNCT
ejpam-6626	8	1	2020	2020	NUM
ejpam-6626	8	2	mathematics	mathematic	NOUN
ejpam-6626	8	3	subject	subject	NOUN
ejpam-6626	8	4	classifications	classification	NOUN
ejpam-6626	8	5	:	:	PUNCT
ejpam-6626	8	6	26a33	26a33	NUM
ejpam-6626	8	7	,	,	PUNCT
ejpam-6626	8	8	35r11	35r11	NUM
ejpam-6626	8	9	,	,	PUNCT
ejpam-6626	8	10	65h10	65h10	NUM
ejpam-6626	8	11	,	,	PUNCT
ejpam-6626	8	12	65r10	65r10	NUM
ejpam-6626	8	13	key	key	ADJ
ejpam-6626	8	14	words	word	NOUN
ejpam-6626	8	15	and	and	CCONJ
ejpam-6626	8	16	phrases	phrase	NOUN
ejpam-6626	8	17	:	:	PUNCT
ejpam-6626	8	18	system	system	NOUN
ejpam-6626	8	19	of	of	ADP
ejpam-6626	8	20	time	time	NOUN
ejpam-6626	8	21	fractional	fractional	ADJ
ejpam-6626	8	22	pdes	pde	NOUN
ejpam-6626	8	23	,	,	PUNCT
ejpam-6626	8	24	fractional	fractional	ADJ
ejpam-6626	8	25	whitham	whitham	NOUN
ejpam-6626	8	26	-	-	PUNCT
ejpam-6626	8	27	broer	broer	NOUN
ejpam-6626	8	28	-	-	PUNCT
ejpam-6626	8	29	kaup	kaup	PROPN
ejpam-6626	8	30	equations	equation	NOUN
ejpam-6626	8	31	,	,	PUNCT
ejpam-6626	8	32	aboodh	aboodh	PROPN
ejpam-6626	8	33	transform	transform	VERB
ejpam-6626	8	34	,	,	PUNCT
ejpam-6626	8	35	adomian	adomian	NOUN
ejpam-6626	8	36	decomposition	decomposition	NOUN
ejpam-6626	8	37	method	method	NOUN
ejpam-6626	8	38	,	,	PUNCT
ejpam-6626	8	39	caputo	caputo	NOUN
ejpam-6626	8	40	operator	operator	NOUN
ejpam-6626	8	41	,	,	PUNCT
ejpam-6626	8	42	atanganabaleanu	atanganabaleanu	NOUN
ejpam-6626	8	43	-	-	PUNCT
ejpam-6626	8	44	caputo	caputo	PROPN
ejpam-6626	8	45	operator	operator	NOUN
ejpam-6626	8	46	,	,	PUNCT
ejpam-6626	8	47	caputo	caputo	PROPN
ejpam-6626	8	48	-	-	PUNCT
ejpam-6626	8	49	fabrizio	fabrizio	PROPN
ejpam-6626	8	50	operator	operator	NOUN
ejpam-6626	8	51	∗corresponding	∗corresponde	VERB
ejpam-6626	8	52	author	author	NOUN
ejpam-6626	8	53	.	.	PUNCT
ejpam-6626	9	1	doi	doi	NOUN
ejpam-6626	9	2	:	:	PUNCT
ejpam-6626	9	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6626	https://doi.org/10.29020/nybg.ejpam.v18i3.6626	ADJ
ejpam-6626	9	4	email	email	NOUN
ejpam-6626	9	5	addresses	address	NOUN
ejpam-6626	9	6	:	:	PUNCT
ejpam-6626	9	7	kadri.ilhem@univ-oran1.dz	kadri.ilhem@univ-oran1.dz	PROPN
ejpam-6626	9	8	(	(	PUNCT
ejpam-6626	9	9	i.	i.	PROPN
ejpam-6626	9	10	kadri	kadri	PROPN
ejpam-6626	9	11	)	)	PUNCT
ejpam-6626	9	12	,	,	PUNCT
ejpam-6626	9	13	hamigundogdu@sakarya.edu.tr	hamigundogdu@sakarya.edu.tr	X
ejpam-6626	9	14	(	(	PUNCT
ejpam-6626	9	15	h.	h.	PROPN
ejpam-6626	9	16	gundogdu	gundogdu	PROPN
ejpam-6626	9	17	)	)	PUNCT
ejpam-6626	9	18	,	,	PUNCT
ejpam-6626	9	19	yelmahy@bu.edu.sa	yelmahy@bu.edu.sa	PROPN
ejpam-6626	9	20	(	(	PUNCT
ejpam-6626	9	21	y.	y.	PROPN
ejpam-6626	9	22	m.	m.	PROPN
ejpam-6626	9	23	modawy	modawy	PROPN
ejpam-6626	9	24	)	)	PUNCT
ejpam-6626	9	25	,	,	PUNCT
ejpam-6626	9	26	aimam@bu.edu.sa	aimam@bu.edu.sa	PROPN
ejpam-6626	9	27	(	(	PUNCT
ejpam-6626	9	28	a.	a.	NOUN
ejpam-6626	9	29	imam	imam	PROPN
ejpam-6626	9	30	)	)	PUNCT
ejpam-6626	9	31	,	,	PUNCT
ejpam-6626	9	32	khilal@bu.edu.sa	khilal@bu.edu.sa	PROPN
ejpam-6626	9	33	(	(	PUNCT
ejpam-6626	9	34	k.	k.	PROPN
ejpam-6626	9	35	a.	a.	PROPN
ejpam-6626	9	36	a.	a.	PROPN
ejpam-6626	9	37	helal	helal	PROPN
ejpam-6626	9	38	)	)	PUNCT
ejpam-6626	9	39	,	,	PUNCT
ejpam-6626	9	40	elshamyii@hotmail.com	elshamyii@hotmail.com	X
ejpam-6626	9	41	(	(	PUNCT
ejpam-6626	9	42	i.	i.	PROPN
ejpam-6626	9	43	elshamy	elshamy	PROPN
ejpam-6626	9	44	)	)	PUNCT
ejpam-6626	9	45	,	,	PUNCT
ejpam-6626	9	46	rtahier@jazanu.edu.sa	rtahier@jazanu.edu.sa	NOUN
ejpam-6626	9	47	(	(	PUNCT
ejpam-6626	9	48	r.	r.	PROPN
ejpam-6626	9	49	a.	a.	PROPN
ejpam-6626	9	50	tahir	tahir	PROPN
ejpam-6626	9	51	)	)	PUNCT
ejpam-6626	9	52	,	,	PUNCT
ejpam-6626	9	53	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6626	9	54	1	1	NUM
ejpam-6626	9	55	copyright	copyright	NOUN
ejpam-6626	9	56	:	:	PUNCT
ejpam-6626	9	57	©	©	PROPN
ejpam-6626	9	58	2025	2025	NUM
ejpam-6626	9	59	the	the	DET
ejpam-6626	9	60	author(s	author(s	NOUN
ejpam-6626	9	61	)	)	PUNCT
ejpam-6626	9	62	.	.	PUNCT
ejpam-6626	10	1	(	(	PUNCT
ejpam-6626	10	2	cc	cc	NOUN
ejpam-6626	10	3	by	by	ADP
ejpam-6626	10	4	-	-	PUNCT
ejpam-6626	10	5	nc	nc	PROPN
ejpam-6626	10	6	4.0	4.0	NUM
ejpam-6626	10	7	)	)	PUNCT
ejpam-6626	10	8	i.	i.	PROPN
ejpam-6626	10	9	kadri	kadri	PROPN
ejpam-6626	10	10	et	et	PROPN
ejpam-6626	10	11	al	al	PROPN
ejpam-6626	10	12	.	.	PUNCT
ejpam-6626	10	13	/	/	SYM
ejpam-6626	10	14	eur	eur	PROPN
ejpam-6626	10	15	.	.	PUNCT
ejpam-6626	11	1	j.	j.	PROPN
ejpam-6626	11	2	pure	pure	PROPN
ejpam-6626	11	3	appl	appl	PROPN
ejpam-6626	11	4	.	.	PROPN
ejpam-6626	11	5	math	math	PROPN
ejpam-6626	11	6	,	,	PUNCT
ejpam-6626	11	7	18	18	NUM
ejpam-6626	11	8	(	(	PUNCT
ejpam-6626	11	9	3	3	NUM
ejpam-6626	11	10	)	)	PUNCT
ejpam-6626	11	11	(	(	PUNCT
ejpam-6626	11	12	2025	2025	NUM
ejpam-6626	11	13	)	)	PUNCT
ejpam-6626	11	14	,	,	PUNCT
ejpam-6626	11	15	6626	6626	NUM
ejpam-6626	11	16	2	2	NUM
ejpam-6626	11	17	of	of	ADP
ejpam-6626	11	18	24	24	NUM
ejpam-6626	11	19	1	1	NUM
ejpam-6626	11	20	.	.	PUNCT
ejpam-6626	12	1	introduction	introduction	NOUN
ejpam-6626	12	2	calculus	calculus	NOUN
ejpam-6626	12	3	simulates	simulate	NOUN
ejpam-6626	12	4	diffusion	diffusion	NOUN
ejpam-6626	12	5	,	,	PUNCT
ejpam-6626	12	6	control	control	NOUN
ejpam-6626	12	7	,	,	PUNCT
ejpam-6626	12	8	and	and	CCONJ
ejpam-6626	12	9	viscoelasticity	viscoelasticity	NOUN
ejpam-6626	12	10	,	,	PUNCT
ejpam-6626	12	11	making	make	VERB
ejpam-6626	12	12	applied	applied	ADJ
ejpam-6626	12	13	mathematics	mathematic	NOUN
ejpam-6626	12	14	more	more	ADV
ejpam-6626	12	15	popular	popular	ADJ
ejpam-6626	12	16	in	in	ADP
ejpam-6626	12	17	recent	recent	ADJ
ejpam-6626	12	18	decades	decade	NOUN
ejpam-6626	13	1	[	[	X
ejpam-6626	13	2	1–3	1–3	NOUN
ejpam-6626	13	3	]	]	PUNCT
ejpam-6626	13	4	.	.	PUNCT
ejpam-6626	14	1	researchers	researcher	NOUN
ejpam-6626	14	2	in	in	ADP
ejpam-6626	14	3	physics	physics	NOUN
ejpam-6626	14	4	and	and	CCONJ
ejpam-6626	14	5	engineering	engineering	NOUN
ejpam-6626	14	6	use	use	VERB
ejpam-6626	14	7	non	non	ADJ
ejpam-6626	14	8	-	-	ADJ
ejpam-6626	14	9	linear	linear	ADJ
ejpam-6626	14	10	differential	differential	ADJ
ejpam-6626	14	11	equations	equation	NOUN
ejpam-6626	15	1	[	[	X
ejpam-6626	15	2	4–6	4–6	X
ejpam-6626	15	3	]	]	X
ejpam-6626	15	4	.	.	PUNCT
ejpam-6626	16	1	there	there	PRON
ejpam-6626	16	2	are	be	VERB
ejpam-6626	16	3	many	many	ADJ
ejpam-6626	16	4	methods	method	NOUN
ejpam-6626	16	5	to	to	PART
ejpam-6626	16	6	solve	solve	VERB
ejpam-6626	16	7	differential	differential	ADJ
ejpam-6626	16	8	equations	equation	NOUN
ejpam-6626	17	1	[	[	X
ejpam-6626	17	2	7–9	7–9	X
ejpam-6626	17	3	]	]	X
ejpam-6626	17	4	.	.	PUNCT
ejpam-6626	18	1	the	the	DET
ejpam-6626	18	2	field	field	NOUN
ejpam-6626	18	3	of	of	ADP
ejpam-6626	18	4	non	non	ADJ
ejpam-6626	18	5	-	-	ADJ
ejpam-6626	18	6	linear	linear	ADJ
ejpam-6626	18	7	partial	partial	ADJ
ejpam-6626	18	8	differential	differential	NOUN
ejpam-6626	18	9	equations	equation	NOUN
ejpam-6626	18	10	(	(	PUNCT
ejpam-6626	18	11	pdes	pde	NOUN
ejpam-6626	18	12	)	)	PUNCT
ejpam-6626	19	1	[	[	X
ejpam-6626	19	2	3	3	NUM
ejpam-6626	19	3	,	,	PUNCT
ejpam-6626	19	4	7	7	NUM
ejpam-6626	19	5	]	]	PUNCT
ejpam-6626	19	6	has	have	AUX
ejpam-6626	19	7	gained	gain	VERB
ejpam-6626	19	8	substantial	substantial	ADJ
ejpam-6626	19	9	interest	interest	NOUN
ejpam-6626	19	10	over	over	ADP
ejpam-6626	19	11	recent	recent	ADJ
ejpam-6626	19	12	decades	decade	NOUN
ejpam-6626	19	13	because	because	SCONJ
ejpam-6626	19	14	of	of	ADP
ejpam-6626	19	15	their	their	PRON
ejpam-6626	19	16	extensive	extensive	ADJ
ejpam-6626	19	17	applications	application	NOUN
ejpam-6626	19	18	across	across	ADP
ejpam-6626	19	19	multiple	multiple	ADJ
ejpam-6626	19	20	scientific	scientific	ADJ
ejpam-6626	19	21	domains	domain	NOUN
ejpam-6626	19	22	such	such	ADJ
ejpam-6626	19	23	as	as	ADP
ejpam-6626	19	24	fluid	fluid	ADJ
ejpam-6626	19	25	mechanics	mechanic	NOUN
ejpam-6626	19	26	,	,	PUNCT
ejpam-6626	19	27	plasma	plasma	NOUN
ejpam-6626	19	28	physics	physics	NOUN
ejpam-6626	19	29	,	,	PUNCT
ejpam-6626	19	30	and	and	CCONJ
ejpam-6626	19	31	non	non	ADJ
ejpam-6626	19	32	-	-	ADJ
ejpam-6626	19	33	linear	linear	ADJ
ejpam-6626	19	34	optics	optic	NOUN
ejpam-6626	19	35	.	.	PUNCT
ejpam-6626	20	1	the	the	DET
ejpam-6626	20	2	whitham	whitham	NOUN
ejpam-6626	20	3	-	-	PUNCT
ejpam-6626	20	4	broer	broer	NOUN
ejpam-6626	20	5	-	-	PUNCT
ejpam-6626	20	6	kaup	kaup	PROPN
ejpam-6626	20	7	(	(	PUNCT
ejpam-6626	20	8	wbk	wbk	NOUN
ejpam-6626	20	9	)	)	PUNCT
ejpam-6626	20	10	system	system	NOUN
ejpam-6626	20	11	[	[	X
ejpam-6626	20	12	5	5	NUM
ejpam-6626	20	13	]	]	PUNCT
ejpam-6626	20	14	,	,	PUNCT
ejpam-6626	20	15	which	which	PRON
ejpam-6626	20	16	characterizes	characterize	VERB
ejpam-6626	20	17	shallow	shallow	ADJ
ejpam-6626	20	18	water	water	NOUN
ejpam-6626	20	19	wave	wave	NOUN
ejpam-6626	20	20	propagation	propagation	NOUN
ejpam-6626	20	21	,	,	PUNCT
ejpam-6626	20	22	has	have	AUX
ejpam-6626	20	23	attracted	attract	VERB
ejpam-6626	20	24	extensive	extensive	ADJ
ejpam-6626	20	25	scholarly	scholarly	ADJ
ejpam-6626	20	26	research	research	NOUN
ejpam-6626	20	27	[	[	X
ejpam-6626	20	28	13	13	NUM
ejpam-6626	20	29	,	,	PUNCT
ejpam-6626	20	30	14	14	NUM
ejpam-6626	20	31	,	,	PUNCT
ejpam-6626	20	32	16	16	NUM
ejpam-6626	20	33	,	,	PUNCT
ejpam-6626	20	34	17	17	NUM
ejpam-6626	20	35	,	,	PUNCT
ejpam-6626	20	36	22	22	NUM
ejpam-6626	20	37	]	]	PUNCT
ejpam-6626	20	38	.	.	PUNCT
ejpam-6626	21	1	as	as	ADP
ejpam-6626	21	2	an	an	DET
ejpam-6626	21	3	extension	extension	NOUN
ejpam-6626	21	4	of	of	ADP
ejpam-6626	21	5	traditional	traditional	ADJ
ejpam-6626	21	6	calculus	calculus	NOUN
ejpam-6626	21	7	approaches	approach	NOUN
ejpam-6626	21	8	,	,	PUNCT
ejpam-6626	21	9	fractional	fractional	ADJ
ejpam-6626	21	10	calculus	calculus	NOUN
ejpam-6626	21	11	[	[	X
ejpam-6626	21	12	20	20	NUM
ejpam-6626	21	13	,	,	PUNCT
ejpam-6626	21	14	21	21	NUM
ejpam-6626	21	15	]	]	PUNCT
ejpam-6626	21	16	demonstrates	demonstrate	VERB
ejpam-6626	21	17	powerful	powerful	ADJ
ejpam-6626	21	18	capabilities	capability	NOUN
ejpam-6626	21	19	in	in	ADP
ejpam-6626	21	20	representing	represent	VERB
ejpam-6626	21	21	complex	complex	ADJ
ejpam-6626	21	22	systems	system	NOUN
ejpam-6626	21	23	with	with	ADP
ejpam-6626	21	24	memory	memory	NOUN
ejpam-6626	21	25	-	-	PUNCT
ejpam-6626	21	26	dependent	dependent	ADJ
ejpam-6626	21	27	behavior	behavior	NOUN
ejpam-6626	22	1	[	[	X
ejpam-6626	22	2	27	27	NUM
ejpam-6626	22	3	,	,	PUNCT
ejpam-6626	22	4	29	29	NUM
ejpam-6626	22	5	]	]	PUNCT
ejpam-6626	22	6	.	.	PUNCT
ejpam-6626	23	1	the	the	DET
ejpam-6626	23	2	application	application	NOUN
ejpam-6626	23	3	of	of	ADP
ejpam-6626	23	4	fractional	fractional	ADJ
ejpam-6626	23	5	derivatives	derivative	NOUN
ejpam-6626	23	6	[	[	X
ejpam-6626	23	7	1	1	NUM
ejpam-6626	23	8	,	,	PUNCT
ejpam-6626	23	9	6	6	NUM
ejpam-6626	23	10	]	]	PUNCT
ejpam-6626	23	11	to	to	ADP
ejpam-6626	23	12	the	the	DET
ejpam-6626	23	13	wbk	wbk	NOUN
ejpam-6626	23	14	system	system	NOUN
ejpam-6626	23	15	enables	enable	VERB
ejpam-6626	23	16	the	the	DET
ejpam-6626	23	17	modeling	modeling	NOUN
ejpam-6626	23	18	of	of	ADP
ejpam-6626	23	19	long	long	ADJ
ejpam-6626	23	20	-	-	PUNCT
ejpam-6626	23	21	range	range	NOUN
ejpam-6626	23	22	interactions	interaction	NOUN
ejpam-6626	23	23	and	and	CCONJ
ejpam-6626	23	24	anomalous	anomalous	ADJ
ejpam-6626	23	25	diffusion	diffusion	NOUN
ejpam-6626	23	26	found	find	VERB
ejpam-6626	23	27	in	in	ADP
ejpam-6626	23	28	many	many	ADJ
ejpam-6626	23	29	real	real	ADJ
ejpam-6626	23	30	-	-	PUNCT
ejpam-6626	23	31	world	world	NOUN
ejpam-6626	23	32	systems	system	NOUN
ejpam-6626	23	33	[	[	X
ejpam-6626	23	34	18	18	NUM
ejpam-6626	23	35	,	,	PUNCT
ejpam-6626	23	36	24	24	NUM
ejpam-6626	23	37	]	]	PUNCT
ejpam-6626	23	38	.	.	PUNCT
ejpam-6626	24	1	the	the	DET
ejpam-6626	24	2	well	well	ADV
ejpam-6626	24	3	-	-	PUNCT
ejpam-6626	24	4	known	know	VERB
ejpam-6626	24	5	whitham	whitham	NOUN
ejpam-6626	24	6	-	-	PUNCT
ejpam-6626	24	7	broer	broer	NOUN
ejpam-6626	24	8	-	-	PUNCT
ejpam-6626	24	9	kaup	kaup	NOUN
ejpam-6626	24	10	equations	equation	NOUN
ejpam-6626	24	11	are	be	AUX
ejpam-6626	24	12	given	give	VERB
ejpam-6626	24	13	as	as	SCONJ
ejpam-6626	24	14	follows	follow	VERB
ejpam-6626	24	15	:	:	PUNCT
ejpam-6626	24	16	∂g(t	∂g(t	PROPN
ejpam-6626	24	17	,	,	PUNCT
ejpam-6626	24	18	x	x	NOUN
ejpam-6626	24	19	)	)	PUNCT
ejpam-6626	25	1	∂t	∂t	PROPN
ejpam-6626	26	1	+	+	CCONJ
ejpam-6626	26	2	g	g	PROPN
ejpam-6626	26	3	∂g(t	∂g(t	PROPN
ejpam-6626	26	4	,	,	PUNCT
ejpam-6626	26	5	x	x	NOUN
ejpam-6626	26	6	)	)	PUNCT
ejpam-6626	27	1	∂x	∂x	PROPN
ejpam-6626	27	2	+	+	CCONJ
ejpam-6626	27	3	∂h(t	∂h(t	PROPN
ejpam-6626	27	4	,	,	PUNCT
ejpam-6626	27	5	x	x	NOUN
ejpam-6626	27	6	)	)	PUNCT
ejpam-6626	27	7	∂x	∂x	PROPN
ejpam-6626	27	8	+	+	CCONJ
ejpam-6626	27	9	d1	d1	PROPN
ejpam-6626	27	10	∂2g(t	∂2g(t	NOUN
ejpam-6626	27	11	,	,	PUNCT
ejpam-6626	27	12	x	x	NOUN
ejpam-6626	27	13	)	)	PUNCT
ejpam-6626	27	14	∂x2	∂x2	NOUN
ejpam-6626	27	15	=	=	SYM
ejpam-6626	27	16	0	0	NUM
ejpam-6626	27	17	,	,	PUNCT
ejpam-6626	27	18	∂h(t	∂h(t	PROPN
ejpam-6626	27	19	,	,	PUNCT
ejpam-6626	27	20	x	x	NOUN
ejpam-6626	27	21	)	)	PUNCT
ejpam-6626	28	1	∂t	∂t	PROPN
ejpam-6626	28	2	+	+	CCONJ
ejpam-6626	28	3	g(t	g(t	PROPN
ejpam-6626	28	4	,	,	PUNCT
ejpam-6626	28	5	x	x	X
ejpam-6626	28	6	)	)	PUNCT
ejpam-6626	28	7	∂h(t	∂h(t	PROPN
ejpam-6626	28	8	,	,	PUNCT
ejpam-6626	28	9	x	x	NOUN
ejpam-6626	28	10	)	)	PUNCT
ejpam-6626	28	11	∂x	∂x	PROPN
ejpam-6626	28	12	+	+	CCONJ
ejpam-6626	28	13	h(t	h(t	PROPN
ejpam-6626	28	14	,	,	PUNCT
ejpam-6626	28	15	x	x	X
ejpam-6626	28	16	)	)	PUNCT
ejpam-6626	28	17	∂g(t	∂g(t	PROPN
ejpam-6626	28	18	,	,	PUNCT
ejpam-6626	28	19	x	x	NOUN
ejpam-6626	28	20	)	)	PUNCT
ejpam-6626	28	21	∂x	∂x	PROPN
ejpam-6626	28	22	+	+	CCONJ
ejpam-6626	28	23	d2	d2	PROPN
ejpam-6626	28	24	∂3g(t	∂3g(t	PROPN
ejpam-6626	28	25	,	,	PUNCT
ejpam-6626	28	26	x	x	NOUN
ejpam-6626	28	27	)	)	PUNCT
ejpam-6626	28	28	∂x3	∂x3	ADV
ejpam-6626	28	29	−	−	ADP
ejpam-6626	28	30	d1	d1	PROPN
ejpam-6626	28	31	∂2g(t	∂2g(t	NOUN
ejpam-6626	28	32	,	,	PUNCT
ejpam-6626	28	33	x	x	NOUN
ejpam-6626	28	34	)	)	PUNCT
ejpam-6626	28	35	∂x2	∂x2	NOUN
ejpam-6626	28	36	=	=	SYM
ejpam-6626	28	37	0	0	NUM
ejpam-6626	28	38	,	,	PUNCT
ejpam-6626	28	39	(	(	PUNCT
ejpam-6626	28	40	1.1	1.1	NUM
ejpam-6626	28	41	)	)	PUNCT
ejpam-6626	28	42	where	where	SCONJ
ejpam-6626	28	43	,	,	PUNCT
ejpam-6626	28	44	the	the	DET
ejpam-6626	28	45	function	function	NOUN
ejpam-6626	28	46	g(t	g(t	PROPN
ejpam-6626	28	47	,	,	PUNCT
ejpam-6626	28	48	x	x	SYM
ejpam-6626	28	49	)	)	PUNCT
ejpam-6626	28	50	measures	measure	VERB
ejpam-6626	28	51	the	the	DET
ejpam-6626	28	52	velocity	velocity	NOUN
ejpam-6626	28	53	deviation	deviation	NOUN
ejpam-6626	28	54	from	from	ADP
ejpam-6626	28	55	fluid	fluid	ADJ
ejpam-6626	28	56	balance	balance	NOUN
ejpam-6626	28	57	,	,	PUNCT
ejpam-6626	28	58	while	while	SCONJ
ejpam-6626	28	59	function	function	VERB
ejpam-6626	28	60	h(t	h(t	PROPN
ejpam-6626	28	61	,	,	PUNCT
ejpam-6626	28	62	x	x	X
ejpam-6626	28	63	)	)	PUNCT
ejpam-6626	28	64	measures	measure	VERB
ejpam-6626	28	65	the	the	DET
ejpam-6626	28	66	height	height	NOUN
ejpam-6626	28	67	deviation	deviation	NOUN
ejpam-6626	28	68	from	from	ADP
ejpam-6626	28	69	fluid	fluid	ADJ
ejpam-6626	28	70	balance	balance	NOUN
ejpam-6626	28	71	.	.	PUNCT
ejpam-6626	29	1	external	external	ADJ
ejpam-6626	29	2	forces	force	NOUN
ejpam-6626	29	3	or	or	CCONJ
ejpam-6626	29	4	internal	internal	ADJ
ejpam-6626	29	5	instability	instability	NOUN
ejpam-6626	29	6	generates	generate	VERB
ejpam-6626	29	7	disruptions	disruption	NOUN
ejpam-6626	29	8	in	in	ADP
ejpam-6626	29	9	both	both	CCONJ
ejpam-6626	29	10	the	the	DET
ejpam-6626	29	11	motion	motion	NOUN
ejpam-6626	29	12	and	and	CCONJ
ejpam-6626	29	13	positioning	positioning	NOUN
ejpam-6626	29	14	of	of	ADP
ejpam-6626	29	15	fluids	fluid	NOUN
ejpam-6626	29	16	as	as	SCONJ
ejpam-6626	29	17	described	describe	VERB
ejpam-6626	29	18	by	by	ADP
ejpam-6626	29	19	these	these	DET
ejpam-6626	29	20	quantities	quantity	NOUN
ejpam-6626	29	21	.	.	PUNCT
ejpam-6626	30	1	the	the	DET
ejpam-6626	30	2	function	function	PROPN
ejpam-6626	30	3	g(t	g(t	PROPN
ejpam-6626	30	4	,	,	PUNCT
ejpam-6626	30	5	x	x	PRON
ejpam-6626	30	6	)	)	PUNCT
ejpam-6626	30	7	indicates	indicate	VERB
ejpam-6626	30	8	the	the	DET
ejpam-6626	30	9	deviation	deviation	NOUN
ejpam-6626	30	10	from	from	ADP
ejpam-6626	30	11	straight	straight	ADJ
ejpam-6626	30	12	-	-	PUNCT
ejpam-6626	30	13	line	line	NOUN
ejpam-6626	30	14	velocity	velocity	NOUN
ejpam-6626	30	15	while	while	SCONJ
ejpam-6626	30	16	h(t	h(t	PROPN
ejpam-6626	30	17	,	,	PUNCT
ejpam-6626	30	18	x	x	PRON
ejpam-6626	30	19	)	)	PUNCT
ejpam-6626	30	20	shows	show	VERB
ejpam-6626	30	21	the	the	DET
ejpam-6626	30	22	deviation	deviation	NOUN
ejpam-6626	30	23	in	in	ADP
ejpam-6626	30	24	height	height	NOUN
ejpam-6626	30	25	,	,	PUNCT
ejpam-6626	30	26	and	and	CCONJ
ejpam-6626	30	27	both	both	DET
ejpam-6626	30	28	functions	function	NOUN
ejpam-6626	30	29	depend	depend	VERB
ejpam-6626	30	30	on	on	ADP
ejpam-6626	30	31	parameters	parameter	NOUN
ejpam-6626	30	32	t	t	PROPN
ejpam-6626	30	33	and	and	CCONJ
ejpam-6626	30	34	x	x	SYM
ejpam-6626	30	35	that	that	PRON
ejpam-6626	30	36	represent	represent	VERB
ejpam-6626	30	37	system	system	NOUN
ejpam-6626	30	38	-	-	PUNCT
ejpam-6626	30	39	controlling	control	VERB
ejpam-6626	30	40	physical	physical	ADJ
ejpam-6626	30	41	and	and	CCONJ
ejpam-6626	30	42	geometric	geometric	ADJ
ejpam-6626	30	43	properties	property	NOUN
ejpam-6626	30	44	.	.	PUNCT
ejpam-6626	31	1	the	the	DET
ejpam-6626	31	2	constants	constant	NOUN
ejpam-6626	31	3	d1	d1	PROPN
ejpam-6626	31	4	and	and	CCONJ
ejpam-6626	31	5	d2	d2	PROPN
ejpam-6626	31	6	are	be	AUX
ejpam-6626	31	7	associated	associate	VERB
ejpam-6626	31	8	with	with	ADP
ejpam-6626	31	9	various	various	ADJ
ejpam-6626	31	10	dissemination	dissemination	NOUN
ejpam-6626	31	11	forces	force	NOUN
ejpam-6626	31	12	acting	act	VERB
ejpam-6626	31	13	on	on	ADP
ejpam-6626	31	14	fluid	fluid	ADJ
ejpam-6626	31	15	systems	system	NOUN
ejpam-6626	31	16	.	.	PUNCT
ejpam-6626	32	1	these	these	DET
ejpam-6626	32	2	constants	constant	NOUN
ejpam-6626	32	3	characterize	characterize	VERB
ejpam-6626	32	4	the	the	DET
ejpam-6626	32	5	effects	effect	NOUN
ejpam-6626	32	6	of	of	ADP
ejpam-6626	32	7	various	various	ADJ
ejpam-6626	32	8	disruptive	disruptive	ADJ
ejpam-6626	32	9	mechanisms	mechanism	NOUN
ejpam-6626	32	10	,	,	PUNCT
ejpam-6626	32	11	such	such	ADJ
ejpam-6626	32	12	as	as	ADP
ejpam-6626	32	13	viscous	viscous	ADJ
ejpam-6626	32	14	waste	waste	NOUN
ejpam-6626	32	15	,	,	PUNCT
ejpam-6626	32	16	thermal	thermal	ADJ
ejpam-6626	32	17	spread	spread	NOUN
ejpam-6626	32	18	,	,	PUNCT
ejpam-6626	32	19	and	and	CCONJ
ejpam-6626	32	20	other	other	ADJ
ejpam-6626	32	21	spreading	spread	VERB
ejpam-6626	32	22	processes	process	NOUN
ejpam-6626	32	23	.	.	PUNCT
ejpam-6626	33	1	they	they	PRON
ejpam-6626	33	2	lead	lead	VERB
ejpam-6626	33	3	the	the	DET
ejpam-6626	33	4	scaling	scaling	NOUN
ejpam-6626	33	5	and	and	CCONJ
ejpam-6626	33	6	behavior	behavior	NOUN
ejpam-6626	33	7	of	of	ADP
ejpam-6626	33	8	these	these	DET
ejpam-6626	33	9	forces	force	NOUN
ejpam-6626	33	10	,	,	PUNCT
ejpam-6626	33	11	influencing	influence	VERB
ejpam-6626	33	12	the	the	DET
ejpam-6626	33	13	rate	rate	NOUN
ejpam-6626	33	14	at	at	ADP
ejpam-6626	33	15	which	which	PRON
ejpam-6626	33	16	the	the	DET
ejpam-6626	33	17	perturbations	perturbation	NOUN
ejpam-6626	33	18	in	in	ADP
ejpam-6626	33	19	velocity	velocity	NOUN
ejpam-6626	33	20	and	and	CCONJ
ejpam-6626	33	21	height	height	NOUN
ejpam-6626	33	22	disorders	disorder	NOUN
ejpam-6626	33	23	or	or	CCONJ
ejpam-6626	33	24	propagate	propagate	VERB
ejpam-6626	33	25	throughout	throughout	ADP
ejpam-6626	33	26	the	the	DET
ejpam-6626	33	27	fluid	fluid	NOUN
ejpam-6626	33	28	.	.	PUNCT
ejpam-6626	34	1	the	the	DET
ejpam-6626	34	2	whitham	whitham	NOUN
ejpam-6626	34	3	-	-	PUNCT
ejpam-6626	34	4	broer	broer	NOUN
ejpam-6626	34	5	-	-	PUNCT
ejpam-6626	34	6	kaup	kaup	PROPN
ejpam-6626	34	7	(	(	PUNCT
ejpam-6626	34	8	wbk	wbk	NOUN
ejpam-6626	34	9	)	)	PUNCT
ejpam-6626	34	10	system	system	NOUN
ejpam-6626	34	11	consists	consist	VERB
ejpam-6626	34	12	of	of	ADP
ejpam-6626	34	13	a	a	DET
ejpam-6626	34	14	pair	pair	NOUN
ejpam-6626	34	15	of	of	ADP
ejpam-6626	34	16	partial	partial	ADJ
ejpam-6626	34	17	differential	differential	ADJ
ejpam-6626	34	18	equations	equation	NOUN
ejpam-6626	34	19	that	that	PRON
ejpam-6626	34	20	model	model	VERB
ejpam-6626	34	21	non	non	ADJ
ejpam-6626	34	22	-	-	ADJ
ejpam-6626	34	23	linear	linear	ADJ
ejpam-6626	34	24	wave	wave	NOUN
ejpam-6626	34	25	phenomena	phenomenon	NOUN
ejpam-6626	34	26	,	,	PUNCT
ejpam-6626	34	27	especially	especially	ADV
ejpam-6626	34	28	when	when	SCONJ
ejpam-6626	34	29	it	it	PRON
ejpam-6626	34	30	comes	come	VERB
ejpam-6626	34	31	to	to	ADP
ejpam-6626	34	32	shallow	shallow	ADJ
ejpam-6626	34	33	water	water	NOUN
ejpam-6626	34	34	waves	wave	NOUN
ejpam-6626	34	35	.	.	PUNCT
ejpam-6626	35	1	this	this	DET
ejpam-6626	35	2	system	system	NOUN
ejpam-6626	35	3	can	can	AUX
ejpam-6626	35	4	be	be	AUX
ejpam-6626	35	5	regarded	regard	VERB
ejpam-6626	35	6	as	as	ADP
ejpam-6626	35	7	a	a	DET
ejpam-6626	35	8	higher	high	ADJ
ejpam-6626	35	9	-	-	PUNCT
ejpam-6626	35	10	order	order	NOUN
ejpam-6626	35	11	generalization	generalization	NOUN
ejpam-6626	35	12	of	of	ADP
ejpam-6626	35	13	the	the	DET
ejpam-6626	35	14	classic	classic	ADJ
ejpam-6626	35	15	kdv	kdv	NOUN
ejpam-6626	35	16	equation	equation	NOUN
ejpam-6626	35	17	,	,	PUNCT
ejpam-6626	35	18	which	which	PRON
ejpam-6626	35	19	extends	extend	VERB
ejpam-6626	35	20	the	the	DET
ejpam-6626	35	21	ability	ability	NOUN
ejpam-6626	35	22	to	to	PART
ejpam-6626	35	23	describe	describe	VERB
ejpam-6626	35	24	more	more	ADV
ejpam-6626	35	25	complex	complex	ADJ
ejpam-6626	35	26	wave	wave	NOUN
ejpam-6626	35	27	interactions	interaction	NOUN
ejpam-6626	35	28	.	.	PUNCT
ejpam-6626	36	1	this	this	PRON
ejpam-6626	36	2	provides	provide	VERB
ejpam-6626	36	3	an	an	DET
ejpam-6626	36	4	effective	effective	ADJ
ejpam-6626	36	5	structure	structure	NOUN
ejpam-6626	36	6	to	to	PART
ejpam-6626	36	7	study	study	VERB
ejpam-6626	36	8	the	the	DET
ejpam-6626	36	9	behavior	behavior	NOUN
ejpam-6626	36	10	of	of	ADP
ejpam-6626	36	11	solitary	solitary	ADJ
ejpam-6626	36	12	waves	wave	NOUN
ejpam-6626	36	13	,	,	PUNCT
ejpam-6626	36	14	shock	shock	NOUN
ejpam-6626	36	15	waves	wave	NOUN
ejpam-6626	36	16	,	,	PUNCT
ejpam-6626	36	17	and	and	CCONJ
ejpam-6626	36	18	other	other	ADJ
ejpam-6626	36	19	types	type	NOUN
ejpam-6626	36	20	of	of	ADP
ejpam-6626	36	21	non	non	ADJ
ejpam-6626	36	22	-	-	ADJ
ejpam-6626	36	23	linear	linear	ADJ
ejpam-6626	36	24	waves	wave	NOUN
ejpam-6626	36	25	,	,	PUNCT
ejpam-6626	36	26	accounting	account	VERB
ejpam-6626	36	27	for	for	ADP
ejpam-6626	36	28	both	both	DET
ejpam-6626	36	29	nonlinear	nonlinear	ADJ
ejpam-6626	36	30	effects	effect	NOUN
ejpam-6626	36	31	and	and	CCONJ
ejpam-6626	36	32	spread	spread	VERB
ejpam-6626	36	33	[	[	X
ejpam-6626	36	34	23	23	NUM
ejpam-6626	36	35	]	]	PUNCT
ejpam-6626	36	36	.	.	PUNCT
ejpam-6626	37	1	as	as	SCONJ
ejpam-6626	37	2	mentioned	mention	VERB
ejpam-6626	37	3	above	above	ADV
ejpam-6626	37	4	,	,	PUNCT
ejpam-6626	37	5	the	the	DET
ejpam-6626	37	6	wbk	wbk	NOUN
ejpam-6626	37	7	system	system	NOUN
ejpam-6626	37	8	includes	include	VERB
ejpam-6626	37	9	two	two	NUM
ejpam-6626	37	10	equations	equation	NOUN
ejpam-6626	37	11	:	:	PUNCT
ejpam-6626	37	12	one	one	NUM
ejpam-6626	37	13	controls	control	VERB
ejpam-6626	37	14	the	the	DET
ejpam-6626	37	15	development	development	NOUN
ejpam-6626	37	16	of	of	ADP
ejpam-6626	37	17	the	the	DET
ejpam-6626	37	18	height	height	NOUN
ejpam-6626	37	19	of	of	ADP
ejpam-6626	37	20	the	the	DET
ejpam-6626	37	21	fluid	fluid	NOUN
ejpam-6626	37	22	and	and	CCONJ
ejpam-6626	37	23	the	the	DET
ejpam-6626	37	24	other	other	ADJ
ejpam-6626	37	25	describes	describe	VERB
ejpam-6626	37	26	the	the	DET
ejpam-6626	37	27	velocity	velocity	NOUN
ejpam-6626	37	28	of	of	ADP
ejpam-6626	37	29	the	the	DET
ejpam-6626	37	30	fluid	fluid	NOUN
ejpam-6626	37	31	.	.	PUNCT
ejpam-6626	38	1	these	these	DET
ejpam-6626	38	2	equations	equation	NOUN
ejpam-6626	38	3	can	can	AUX
ejpam-6626	38	4	be	be	AUX
ejpam-6626	38	5	achieved	achieve	VERB
ejpam-6626	38	6	from	from	ADP
ejpam-6626	38	7	the	the	DET
ejpam-6626	38	8	basic	basic	ADJ
ejpam-6626	38	9	euler	euler	NOUN
ejpam-6626	38	10	equation	equation	NOUN
ejpam-6626	38	11	or	or	CCONJ
ejpam-6626	38	12	shallow	shallow	ADJ
ejpam-6626	38	13	water	water	NOUN
ejpam-6626	38	14	equations	equation	NOUN
ejpam-6626	38	15	under	under	ADP
ejpam-6626	38	16	appropriate	appropriate	ADJ
ejpam-6626	38	17	assumptions	assumption	NOUN
ejpam-6626	38	18	about	about	ADP
ejpam-6626	38	19	the	the	DET
ejpam-6626	38	20	depth	depth	NOUN
ejpam-6626	38	21	of	of	ADP
ejpam-6626	38	22	the	the	DET
ejpam-6626	38	23	fluid	fluid	NOUN
ejpam-6626	38	24	and	and	CCONJ
ejpam-6626	38	25	the	the	DET
ejpam-6626	38	26	nature	nature	NOUN
ejpam-6626	38	27	of	of	ADP
ejpam-6626	38	28	the	the	DET
ejpam-6626	38	29	waves	wave	NOUN
ejpam-6626	38	30	.	.	PUNCT
ejpam-6626	39	1	the	the	DET
ejpam-6626	39	2	wbk	wbk	NOUN
ejpam-6626	39	3	system	system	NOUN
ejpam-6626	39	4	captures	capture	VERB
ejpam-6626	39	5	the	the	DET
ejpam-6626	39	6	interplay	interplay	NOUN
ejpam-6626	39	7	of	of	ADP
ejpam-6626	39	8	nonlinear	nonlinear	ADJ
ejpam-6626	39	9	advection	advection	NOUN
ejpam-6626	39	10	and	and	CCONJ
ejpam-6626	39	11	dispersion	dispersion	NOUN
ejpam-6626	39	12	,	,	PUNCT
ejpam-6626	39	13	which	which	PRON
ejpam-6626	39	14	is	be	AUX
ejpam-6626	39	15	an	an	DET
ejpam-6626	39	16	i.	i.	PROPN
ejpam-6626	39	17	kadri	kadri	PROPN
ejpam-6626	39	18	et	et	PROPN
ejpam-6626	39	19	al	al	PROPN
ejpam-6626	39	20	.	.	PUNCT
ejpam-6626	39	21	/	/	SYM
ejpam-6626	39	22	eur	eur	PROPN
ejpam-6626	39	23	.	.	PUNCT
ejpam-6626	40	1	j.	j.	PROPN
ejpam-6626	40	2	pure	pure	PROPN
ejpam-6626	40	3	appl	appl	PROPN
ejpam-6626	40	4	.	.	PROPN
ejpam-6626	40	5	math	math	PROPN
ejpam-6626	40	6	,	,	PUNCT
ejpam-6626	40	7	18	18	NUM
ejpam-6626	40	8	(	(	PUNCT
ejpam-6626	40	9	3	3	NUM
ejpam-6626	40	10	)	)	PUNCT
ejpam-6626	40	11	(	(	PUNCT
ejpam-6626	40	12	2025	2025	NUM
ejpam-6626	40	13	)	)	PUNCT
ejpam-6626	40	14	,	,	PUNCT
ejpam-6626	40	15	6626	6626	NUM
ejpam-6626	40	16	3	3	NUM
ejpam-6626	40	17	of	of	ADP
ejpam-6626	40	18	24	24	NUM
ejpam-6626	40	19	improvement	improvement	NOUN
ejpam-6626	40	20	for	for	ADP
ejpam-6626	40	21	such	such	ADJ
ejpam-6626	40	22	complex	complex	ADJ
ejpam-6626	40	23	types	type	NOUN
ejpam-6626	40	24	of	of	ADP
ejpam-6626	40	25	wave	wave	NOUN
ejpam-6626	40	26	behavior	behavior	NOUN
ejpam-6626	40	27	over	over	ADP
ejpam-6626	40	28	simpler	simple	ADJ
ejpam-6626	40	29	models	model	NOUN
ejpam-6626	40	30	like	like	ADP
ejpam-6626	40	31	the	the	DET
ejpam-6626	40	32	kdv	kdv	NOUN
ejpam-6626	40	33	equation	equation	NOUN
ejpam-6626	40	34	.	.	PUNCT
ejpam-6626	41	1	to	to	PART
ejpam-6626	41	2	study	study	VERB
ejpam-6626	41	3	the	the	DET
ejpam-6626	41	4	fractional	fractional	ADJ
ejpam-6626	41	5	wbk	wbk	NOUN
ejpam-6626	41	6	equations	equation	NOUN
ejpam-6626	41	7	[	[	X
ejpam-6626	41	8	12	12	NUM
ejpam-6626	41	9	]	]	PUNCT
ejpam-6626	41	10	,	,	PUNCT
ejpam-6626	41	11	we	we	PRON
ejpam-6626	41	12	apply	apply	VERB
ejpam-6626	41	13	aboodh	aboodh	ADJ
ejpam-6626	41	14	transform	transform	NOUN
ejpam-6626	41	15	with	with	ADP
ejpam-6626	41	16	adomian	adomian	NOUN
ejpam-6626	41	17	decomposition	decomposition	NOUN
ejpam-6626	41	18	method	method	NOUN
ejpam-6626	41	19	[	[	X
ejpam-6626	41	20	11	11	NUM
ejpam-6626	41	21	]	]	PUNCT
ejpam-6626	41	22	,	,	PUNCT
ejpam-6626	41	23	which	which	PRON
ejpam-6626	41	24	is	be	AUX
ejpam-6626	41	25	an	an	DET
ejpam-6626	41	26	integrated	integrate	VERB
ejpam-6626	41	27	transformation	transformation	NOUN
ejpam-6626	41	28	method	method	NOUN
ejpam-6626	41	29	that	that	PRON
ejpam-6626	41	30	is	be	AUX
ejpam-6626	41	31	relatively	relatively	ADV
ejpam-6626	41	32	new	new	ADJ
ejpam-6626	41	33	and	and	CCONJ
ejpam-6626	41	34	it	it	PRON
ejpam-6626	41	35	has	have	VERB
ejpam-6626	41	36	a	a	DET
ejpam-6626	41	37	great	great	ADJ
ejpam-6626	41	38	potential	potential	NOUN
ejpam-6626	41	39	for	for	ADP
ejpam-6626	41	40	solving	solve	VERB
ejpam-6626	41	41	fractional	fractional	ADJ
ejpam-6626	41	42	ordinary	ordinary	ADJ
ejpam-6626	41	43	and	and	CCONJ
ejpam-6626	41	44	partial	partial	ADJ
ejpam-6626	41	45	differential	differential	ADJ
ejpam-6626	41	46	equations	equation	NOUN
ejpam-6626	41	47	[	[	X
ejpam-6626	41	48	15	15	NUM
ejpam-6626	41	49	,	,	PUNCT
ejpam-6626	41	50	19	19	NUM
ejpam-6626	41	51	]	]	PUNCT
ejpam-6626	41	52	.	.	PUNCT
ejpam-6626	42	1	this	this	PRON
ejpam-6626	42	2	is	be	AUX
ejpam-6626	42	3	a	a	DET
ejpam-6626	42	4	relatively	relatively	ADV
ejpam-6626	42	5	new	new	ADJ
ejpam-6626	42	6	and	and	CCONJ
ejpam-6626	42	7	powerful	powerful	ADJ
ejpam-6626	42	8	hybrid	hybrid	ADJ
ejpam-6626	42	9	analytical	analytical	ADJ
ejpam-6626	42	10	method	method	NOUN
ejpam-6626	42	11	that	that	PRON
ejpam-6626	42	12	combines	combine	VERB
ejpam-6626	42	13	the	the	DET
ejpam-6626	42	14	aboodh	aboodh	ADJ
ejpam-6626	42	15	integral	integral	ADJ
ejpam-6626	42	16	transform	transform	NOUN
ejpam-6626	42	17	with	with	ADP
ejpam-6626	42	18	the	the	DET
ejpam-6626	42	19	adomian	adomian	NOUN
ejpam-6626	42	20	decomposition	decomposition	NOUN
ejpam-6626	42	21	method	method	NOUN
ejpam-6626	42	22	(	(	PUNCT
ejpam-6626	42	23	adm	adm	PROPN
ejpam-6626	42	24	)	)	PUNCT
ejpam-6626	42	25	.	.	PUNCT
ejpam-6626	43	1	the	the	DET
ejpam-6626	43	2	aboodh	aboodh	PROPN
ejpam-6626	43	3	transform	transform	NOUN
ejpam-6626	43	4	,	,	PUNCT
ejpam-6626	43	5	similar	similar	ADJ
ejpam-6626	43	6	to	to	ADP
ejpam-6626	43	7	the	the	DET
ejpam-6626	43	8	laplace	laplace	NOUN
ejpam-6626	43	9	transform	transform	NOUN
ejpam-6626	43	10	,	,	PUNCT
ejpam-6626	43	11	helps	help	VERB
ejpam-6626	43	12	in	in	ADP
ejpam-6626	43	13	converting	convert	VERB
ejpam-6626	43	14	differential	differential	ADJ
ejpam-6626	43	15	equations	equation	NOUN
ejpam-6626	43	16	into	into	ADP
ejpam-6626	43	17	algebraic	algebraic	ADJ
ejpam-6626	43	18	equations	equation	NOUN
ejpam-6626	43	19	,	,	PUNCT
ejpam-6626	43	20	simplifying	simplify	VERB
ejpam-6626	43	21	the	the	DET
ejpam-6626	43	22	problem	problem	NOUN
ejpam-6626	43	23	.	.	PUNCT
ejpam-6626	44	1	the	the	DET
ejpam-6626	44	2	adomian	adomian	NOUN
ejpam-6626	44	3	decomposition	decomposition	NOUN
ejpam-6626	44	4	method	method	NOUN
ejpam-6626	44	5	,	,	PUNCT
ejpam-6626	44	6	on	on	ADP
ejpam-6626	44	7	the	the	DET
ejpam-6626	44	8	other	other	ADJ
ejpam-6626	44	9	hand	hand	NOUN
ejpam-6626	44	10	,	,	PUNCT
ejpam-6626	44	11	is	be	AUX
ejpam-6626	44	12	particularly	particularly	ADV
ejpam-6626	44	13	effective	effective	ADJ
ejpam-6626	44	14	at	at	ADP
ejpam-6626	44	15	handling	handle	VERB
ejpam-6626	44	16	non	non	ADJ
ejpam-6626	44	17	-	-	ADJ
ejpam-6626	44	18	linear	linear	ADJ
ejpam-6626	44	19	terms	term	NOUN
ejpam-6626	44	20	by	by	ADP
ejpam-6626	44	21	decomposing	decompose	VERB
ejpam-6626	44	22	the	the	DET
ejpam-6626	44	23	solution	solution	NOUN
ejpam-6626	44	24	into	into	ADP
ejpam-6626	44	25	an	an	DET
ejpam-6626	44	26	infinite	infinite	ADJ
ejpam-6626	44	27	series	series	NOUN
ejpam-6626	44	28	of	of	ADP
ejpam-6626	44	29	components	component	NOUN
ejpam-6626	44	30	,	,	PUNCT
ejpam-6626	44	31	with	with	SCONJ
ejpam-6626	44	32	each	each	DET
ejpam-6626	44	33	component	component	NOUN
ejpam-6626	44	34	recursively	recursively	ADV
ejpam-6626	44	35	determined	determine	VERB
ejpam-6626	44	36	.	.	PUNCT
ejpam-6626	45	1	by	by	ADP
ejpam-6626	45	2	this	this	DET
ejpam-6626	45	3	method	method	NOUN
ejpam-6626	45	4	,	,	PUNCT
ejpam-6626	45	5	it	it	PRON
ejpam-6626	45	6	has	have	VERB
ejpam-6626	45	7	notable	notable	ADJ
ejpam-6626	45	8	benefits	benefit	NOUN
ejpam-6626	45	9	such	such	ADJ
ejpam-6626	45	10	as	as	ADP
ejpam-6626	45	11	the	the	DET
ejpam-6626	45	12	ability	ability	NOUN
ejpam-6626	45	13	to	to	PART
ejpam-6626	45	14	find	find	VERB
ejpam-6626	45	15	an	an	DET
ejpam-6626	45	16	accurate	accurate	ADJ
ejpam-6626	45	17	solution	solution	NOUN
ejpam-6626	45	18	after	after	ADP
ejpam-6626	45	19	a	a	DET
ejpam-6626	45	20	finite	finite	ADJ
ejpam-6626	45	21	number	number	NOUN
ejpam-6626	45	22	of	of	ADP
ejpam-6626	45	23	iterations	iteration	NOUN
ejpam-6626	45	24	and	and	CCONJ
ejpam-6626	45	25	resistance	resistance	NOUN
ejpam-6626	45	26	with	with	ADP
ejpam-6626	45	27	the	the	DET
ejpam-6626	45	28	discretion	discretion	NOUN
ejpam-6626	45	29	or	or	CCONJ
ejpam-6626	45	30	disruption	disruption	NOUN
ejpam-6626	45	31	problems	problem	NOUN
ejpam-6626	45	32	[	[	X
ejpam-6626	45	33	25	25	NUM
ejpam-6626	45	34	,	,	PUNCT
ejpam-6626	45	35	26	26	NUM
ejpam-6626	45	36	]	]	PUNCT
ejpam-6626	45	37	.	.	PUNCT
ejpam-6626	46	1	the	the	DET
ejpam-6626	46	2	aboodh	aboodh	PROPN
ejpam-6626	46	3	transform	transform	NOUN
ejpam-6626	46	4	[	[	X
ejpam-6626	46	5	9	9	NUM
ejpam-6626	46	6	,	,	PUNCT
ejpam-6626	46	7	10	10	NUM
ejpam-6626	46	8	]	]	PUNCT
ejpam-6626	46	9	provides	provide	VERB
ejpam-6626	46	10	several	several	ADJ
ejpam-6626	46	11	benefits	benefit	NOUN
ejpam-6626	46	12	over	over	ADP
ejpam-6626	46	13	traditional	traditional	ADJ
ejpam-6626	46	14	integral	integral	ADJ
ejpam-6626	46	15	transforms	transform	NOUN
ejpam-6626	46	16	,	,	PUNCT
ejpam-6626	46	17	such	such	ADJ
ejpam-6626	46	18	as	as	ADP
ejpam-6626	46	19	laplace	laplace	NOUN
ejpam-6626	46	20	and	and	CCONJ
ejpam-6626	46	21	fourier	fourier	NOUN
ejpam-6626	46	22	transforms	transform	VERB
ejpam-6626	46	23	[	[	X
ejpam-6626	46	24	8	8	NUM
ejpam-6626	46	25	]	]	PUNCT
ejpam-6626	46	26	,	,	PUNCT
ejpam-6626	46	27	which	which	PRON
ejpam-6626	46	28	include	include	VERB
ejpam-6626	46	29	the	the	DET
ejpam-6626	46	30	ability	ability	NOUN
ejpam-6626	46	31	to	to	PART
ejpam-6626	46	32	handle	handle	VERB
ejpam-6626	46	33	the	the	DET
ejpam-6626	46	34	initial	initial	ADJ
ejpam-6626	46	35	conditions	condition	NOUN
ejpam-6626	46	36	more	more	ADV
ejpam-6626	46	37	efficiently	efficiently	ADV
ejpam-6626	46	38	and	and	CCONJ
ejpam-6626	46	39	its	its	PRON
ejpam-6626	46	40	suitability	suitability	NOUN
ejpam-6626	46	41	for	for	ADP
ejpam-6626	46	42	solving	solve	VERB
ejpam-6626	46	43	an	an	DET
ejpam-6626	46	44	extended	extended	ADJ
ejpam-6626	46	45	range	range	NOUN
ejpam-6626	46	46	of	of	ADP
ejpam-6626	46	47	fractional	fractional	ADJ
ejpam-6626	46	48	differential	differential	ADJ
ejpam-6626	46	49	equations	equation	NOUN
ejpam-6626	47	1	[	[	X
ejpam-6626	47	2	2	2	NUM
ejpam-6626	47	3	,	,	PUNCT
ejpam-6626	47	4	4	4	NUM
ejpam-6626	47	5	,	,	PUNCT
ejpam-6626	47	6	28	28	NUM
ejpam-6626	47	7	]	]	PUNCT
ejpam-6626	47	8	.	.	PUNCT
ejpam-6626	48	1	the	the	DET
ejpam-6626	48	2	purpose	purpose	NOUN
ejpam-6626	48	3	of	of	ADP
ejpam-6626	48	4	our	our	PRON
ejpam-6626	48	5	article	article	NOUN
ejpam-6626	48	6	is	be	AUX
ejpam-6626	48	7	to	to	PART
ejpam-6626	48	8	provide	provide	VERB
ejpam-6626	48	9	a	a	DET
ejpam-6626	48	10	comprehensive	comprehensive	ADJ
ejpam-6626	48	11	comparative	comparative	ADJ
ejpam-6626	48	12	analysis	analysis	NOUN
ejpam-6626	48	13	of	of	ADP
ejpam-6626	48	14	the	the	DET
ejpam-6626	48	15	fractional	fractional	ADJ
ejpam-6626	48	16	wbk	wbk	NOUN
ejpam-6626	48	17	equations	equation	NOUN
ejpam-6626	48	18	under	under	ADP
ejpam-6626	48	19	the	the	DET
ejpam-6626	48	20	aboodh	aboodh	ADJ
ejpam-6626	48	21	decomposition	decomposition	NOUN
ejpam-6626	48	22	transform	transform	NOUN
ejpam-6626	48	23	.	.	PUNCT
ejpam-6626	49	1	we	we	PRON
ejpam-6626	49	2	will	will	AUX
ejpam-6626	49	3	get	get	VERB
ejpam-6626	49	4	an	an	DET
ejpam-6626	49	5	approximate	approximate	ADJ
ejpam-6626	49	6	solution	solution	NOUN
ejpam-6626	49	7	when	when	SCONJ
ejpam-6626	49	8	using	use	VERB
ejpam-6626	49	9	different	different	ADJ
ejpam-6626	49	10	analytical	analytical	ADJ
ejpam-6626	49	11	techniques	technique	NOUN
ejpam-6626	49	12	and	and	CCONJ
ejpam-6626	49	13	detect	detect	VERB
ejpam-6626	49	14	the	the	DET
ejpam-6626	49	15	properties	property	NOUN
ejpam-6626	49	16	of	of	ADP
ejpam-6626	49	17	these	these	DET
ejpam-6626	49	18	solutions	solution	NOUN
ejpam-6626	49	19	under	under	ADP
ejpam-6626	49	20	different	different	ADJ
ejpam-6626	49	21	fractional	fractional	ADJ
ejpam-6626	49	22	operators	operator	NOUN
ejpam-6626	49	23	.	.	PUNCT
ejpam-6626	50	1	in	in	ADP
ejpam-6626	50	2	addition	addition	NOUN
ejpam-6626	50	3	,	,	PUNCT
ejpam-6626	50	4	we	we	PRON
ejpam-6626	50	5	will	will	AUX
ejpam-6626	50	6	perform	perform	VERB
ejpam-6626	50	7	numerical	numerical	ADJ
ejpam-6626	50	8	simulations	simulation	NOUN
ejpam-6626	50	9	to	to	PART
ejpam-6626	50	10	visualize	visualize	VERB
ejpam-6626	50	11	the	the	DET
ejpam-6626	50	12	behavior	behavior	NOUN
ejpam-6626	50	13	of	of	ADP
ejpam-6626	50	14	the	the	DET
ejpam-6626	50	15	system	system	NOUN
ejpam-6626	50	16	and	and	CCONJ
ejpam-6626	50	17	validate	validate	VERB
ejpam-6626	50	18	our	our	PRON
ejpam-6626	50	19	analytical	analytical	ADJ
ejpam-6626	50	20	results	result	NOUN
ejpam-6626	50	21	.	.	PUNCT
ejpam-6626	51	1	moreover	moreover	ADV
ejpam-6626	51	2	,	,	PUNCT
ejpam-6626	51	3	the	the	DET
ejpam-6626	51	4	proposed	propose	VERB
ejpam-6626	51	5	method	method	NOUN
ejpam-6626	51	6	is	be	AUX
ejpam-6626	51	7	investigated	investigate	VERB
ejpam-6626	51	8	for	for	ADP
ejpam-6626	51	9	convergence	convergence	NOUN
ejpam-6626	51	10	and	and	CCONJ
ejpam-6626	51	11	error	error	NOUN
ejpam-6626	51	12	.	.	PUNCT
ejpam-6626	52	1	the	the	DET
ejpam-6626	52	2	insight	insight	NOUN
ejpam-6626	52	3	gained	gain	VERB
ejpam-6626	52	4	from	from	ADP
ejpam-6626	52	5	these	these	DET
ejpam-6626	52	6	findings	finding	NOUN
ejpam-6626	52	7	provides	provide	VERB
ejpam-6626	52	8	new	new	ADJ
ejpam-6626	52	9	perspectives	perspective	NOUN
ejpam-6626	52	10	to	to	ADP
ejpam-6626	52	11	the	the	DET
ejpam-6626	52	12	existing	exist	VERB
ejpam-6626	52	13	literature	literature	NOUN
ejpam-6626	52	14	.	.	PUNCT
ejpam-6626	53	1	by	by	ADP
ejpam-6626	53	2	studying	study	VERB
ejpam-6626	53	3	fractional	fractional	ADJ
ejpam-6626	53	4	wbk	wbk	NOUN
ejpam-6626	53	5	equations	equation	NOUN
ejpam-6626	53	6	,	,	PUNCT
ejpam-6626	53	7	we	we	PRON
ejpam-6626	53	8	expect	expect	VERB
ejpam-6626	53	9	to	to	PART
ejpam-6626	53	10	achieve	achieve	VERB
ejpam-6626	53	11	a	a	DET
ejpam-6626	53	12	greater	great	ADJ
ejpam-6626	53	13	intensive	intensive	ADJ
ejpam-6626	53	14	understanding	understanding	NOUN
ejpam-6626	53	15	of	of	ADP
ejpam-6626	53	16	the	the	DET
ejpam-6626	53	17	effect	effect	NOUN
ejpam-6626	53	18	of	of	ADP
ejpam-6626	53	19	fractional	fractional	ADJ
ejpam-6626	53	20	derivatives	derivative	NOUN
ejpam-6626	53	21	on	on	ADP
ejpam-6626	53	22	the	the	DET
ejpam-6626	53	23	dynamics	dynamic	NOUN
ejpam-6626	53	24	of	of	ADP
ejpam-6626	53	25	nonlinear	nonlinear	ADJ
ejpam-6626	53	26	wave	wave	NOUN
ejpam-6626	53	27	phenomena	phenomena	PROPN
ejpam-6626	53	28	.	.	PUNCT
ejpam-6626	54	1	our	our	PRON
ejpam-6626	54	2	findings	finding	NOUN
ejpam-6626	54	3	may	may	AUX
ejpam-6626	54	4	have	have	VERB
ejpam-6626	54	5	important	important	ADJ
ejpam-6626	54	6	implications	implication	NOUN
ejpam-6626	54	7	for	for	ADP
ejpam-6626	54	8	applications	application	NOUN
ejpam-6626	54	9	in	in	ADP
ejpam-6626	54	10	fields	field	NOUN
ejpam-6626	54	11	such	such	ADJ
ejpam-6626	54	12	as	as	ADP
ejpam-6626	54	13	coastal	coastal	ADJ
ejpam-6626	54	14	engineering	engineering	NOUN
ejpam-6626	54	15	,	,	PUNCT
ejpam-6626	54	16	oceanography	oceanography	NOUN
ejpam-6626	54	17	,	,	PUNCT
ejpam-6626	54	18	and	and	CCONJ
ejpam-6626	54	19	atmospheric	atmospheric	ADJ
ejpam-6626	54	20	sciences	science	NOUN
ejpam-6626	54	21	.	.	PUNCT
ejpam-6626	55	1	the	the	DET
ejpam-6626	55	2	paper	paper	NOUN
ejpam-6626	55	3	is	be	AUX
ejpam-6626	55	4	structured	structure	VERB
ejpam-6626	55	5	as	as	SCONJ
ejpam-6626	55	6	follows	follow	VERB
ejpam-6626	55	7	:	:	PUNCT
ejpam-6626	55	8	section	section	NOUN
ejpam-6626	55	9	2	2	NUM
ejpam-6626	55	10	provides	provide	VERB
ejpam-6626	55	11	an	an	DET
ejpam-6626	55	12	overview	overview	NOUN
ejpam-6626	55	13	of	of	ADP
ejpam-6626	55	14	some	some	DET
ejpam-6626	55	15	fundamental	fundamental	ADJ
ejpam-6626	55	16	concepts	concept	NOUN
ejpam-6626	55	17	,	,	PUNCT
ejpam-6626	55	18	which	which	PRON
ejpam-6626	55	19	is	be	AUX
ejpam-6626	55	20	useful	useful	ADJ
ejpam-6626	55	21	for	for	ADP
ejpam-6626	55	22	the	the	DET
ejpam-6626	55	23	successive	successive	ADJ
ejpam-6626	55	24	sections	section	NOUN
ejpam-6626	55	25	.	.	PUNCT
ejpam-6626	56	1	section	section	NOUN
ejpam-6626	56	2	3	3	NUM
ejpam-6626	56	3	the	the	DET
ejpam-6626	56	4	procedure	procedure	NOUN
ejpam-6626	56	5	for	for	ADP
ejpam-6626	56	6	the	the	DET
ejpam-6626	56	7	aboodh	aboodh	ADJ
ejpam-6626	56	8	decomposition	decomposition	NOUN
ejpam-6626	56	9	transformation	transformation	NOUN
ejpam-6626	56	10	scheme	scheme	NOUN
ejpam-6626	56	11	for	for	ADP
ejpam-6626	56	12	non	non	ADJ
ejpam-6626	56	13	-	-	ADJ
ejpam-6626	56	14	linear	linear	ADJ
ejpam-6626	56	15	time	time	NOUN
ejpam-6626	56	16	fractional	fractional	ADJ
ejpam-6626	56	17	whithambroer	whithambroer	NOUN
ejpam-6626	56	18	-	-	PUNCT
ejpam-6626	56	19	kaup	kaup	PROPN
ejpam-6626	56	20	equations	equation	NOUN
ejpam-6626	56	21	in	in	ADP
ejpam-6626	56	22	the	the	DET
ejpam-6626	56	23	caputo	caputo	PROPN
ejpam-6626	56	24	,	,	PUNCT
ejpam-6626	56	25	caputo	caputo	PROPN
ejpam-6626	56	26	-	-	PUNCT
ejpam-6626	56	27	fabrizio	fabrizio	PROPN
ejpam-6626	56	28	,	,	PUNCT
ejpam-6626	56	29	and	and	CCONJ
ejpam-6626	56	30	atangana	atangana	PROPN
ejpam-6626	56	31	-	-	PUNCT
ejpam-6626	56	32	baleanu	baleanu	PROPN
ejpam-6626	56	33	-	-	PUNCT
ejpam-6626	56	34	caputo	caputo	PROPN
ejpam-6626	56	35	senses	sense	NOUN
ejpam-6626	56	36	.	.	PUNCT
ejpam-6626	57	1	in	in	ADP
ejpam-6626	57	2	section	section	NOUN
ejpam-6626	57	3	4	4	NUM
ejpam-6626	57	4	,	,	PUNCT
ejpam-6626	57	5	we	we	PRON
ejpam-6626	57	6	present	present	VERB
ejpam-6626	57	7	numerical	numerical	ADJ
ejpam-6626	57	8	results	result	NOUN
ejpam-6626	57	9	for	for	ADP
ejpam-6626	57	10	the	the	DET
ejpam-6626	57	11	solutions	solution	NOUN
ejpam-6626	57	12	obtained	obtain	VERB
ejpam-6626	57	13	to	to	ADP
ejpam-6626	57	14	the	the	DET
ejpam-6626	57	15	timefractional	timefractional	ADJ
ejpam-6626	57	16	wbk	wbk	NOUN
ejpam-6626	57	17	equations	equation	NOUN
ejpam-6626	57	18	to	to	PART
ejpam-6626	57	19	describe	describe	VERB
ejpam-6626	57	20	the	the	DET
ejpam-6626	57	21	efficiency	efficiency	NOUN
ejpam-6626	57	22	of	of	ADP
ejpam-6626	57	23	the	the	DET
ejpam-6626	57	24	method	method	NOUN
ejpam-6626	57	25	.	.	PUNCT
ejpam-6626	58	1	section	section	NOUN
ejpam-6626	58	2	5	5	NUM
ejpam-6626	58	3	presents	present	VERB
ejpam-6626	58	4	the	the	DET
ejpam-6626	58	5	necessary	necessary	ADJ
ejpam-6626	58	6	conditions	condition	NOUN
ejpam-6626	58	7	for	for	ADP
ejpam-6626	58	8	convergence	convergence	NOUN
ejpam-6626	58	9	and	and	CCONJ
ejpam-6626	58	10	presents	present	VERB
ejpam-6626	58	11	an	an	DET
ejpam-6626	58	12	error	error	NOUN
ejpam-6626	58	13	analysis	analysis	NOUN
ejpam-6626	58	14	for	for	ADP
ejpam-6626	58	15	the	the	DET
ejpam-6626	58	16	proposed	propose	VERB
ejpam-6626	58	17	method	method	NOUN
ejpam-6626	58	18	using	use	VERB
ejpam-6626	58	19	graphs	graph	NOUN
ejpam-6626	58	20	and	and	CCONJ
ejpam-6626	58	21	tables	table	NOUN
ejpam-6626	58	22	compared	compare	VERB
ejpam-6626	58	23	to	to	ADP
ejpam-6626	58	24	exact	exact	ADJ
ejpam-6626	58	25	solutions	solution	NOUN
ejpam-6626	58	26	,	,	PUNCT
ejpam-6626	58	27	and	and	CCONJ
ejpam-6626	58	28	section	section	NOUN
ejpam-6626	58	29	6	6	NUM
ejpam-6626	58	30	provides	provide	VERB
ejpam-6626	58	31	the	the	DET
ejpam-6626	58	32	conclusion	conclusion	NOUN
ejpam-6626	58	33	.	.	PUNCT
ejpam-6626	59	1	2	2	X
ejpam-6626	59	2	.	.	X
ejpam-6626	59	3	fundamental	fundamental	ADJ
ejpam-6626	59	4	concepts	concept	NOUN
ejpam-6626	59	5	this	this	DET
ejpam-6626	59	6	section	section	NOUN
ejpam-6626	59	7	provides	provide	VERB
ejpam-6626	59	8	an	an	DET
ejpam-6626	59	9	overview	overview	NOUN
ejpam-6626	59	10	of	of	ADP
ejpam-6626	59	11	the	the	DET
ejpam-6626	59	12	fundamental	fundamental	ADJ
ejpam-6626	59	13	definitions	definition	NOUN
ejpam-6626	59	14	and	and	CCONJ
ejpam-6626	59	15	properties	property	NOUN
ejpam-6626	59	16	of	of	ADP
ejpam-6626	59	17	fractional	fractional	ADJ
ejpam-6626	59	18	calculus	calculus	NOUN
ejpam-6626	59	19	,	,	PUNCT
ejpam-6626	59	20	which	which	PRON
ejpam-6626	59	21	are	be	AUX
ejpam-6626	59	22	employed	employ	VERB
ejpam-6626	59	23	to	to	PART
ejpam-6626	59	24	describe	describe	VERB
ejpam-6626	59	25	the	the	DET
ejpam-6626	59	26	proposed	propose	VERB
ejpam-6626	59	27	method	method	NOUN
ejpam-6626	59	28	.	.	PUNCT
ejpam-6626	60	1	definition	definition	NOUN
ejpam-6626	60	2	1	1	NUM
ejpam-6626	60	3	:	:	PUNCT
ejpam-6626	61	1	[	[	X
ejpam-6626	61	2	29	29	NUM
ejpam-6626	61	3	]	]	PUNCT
ejpam-6626	61	4	the	the	DET
ejpam-6626	61	5	caputo	caputo	PROPN
ejpam-6626	61	6	derivative	derivative	NOUN
ejpam-6626	61	7	of	of	ADP
ejpam-6626	61	8	the	the	DET
ejpam-6626	61	9	fractional	fractional	ADJ
ejpam-6626	61	10	order	order	NOUN
ejpam-6626	61	11	γ	γ	NOUN
ejpam-6626	61	12	,	,	PUNCT
ejpam-6626	61	13	0	0	PUNCT
ejpam-6626	61	14	<	<	X
ejpam-6626	61	15	γ	γ	X
ejpam-6626	61	16	<	<	X
ejpam-6626	61	17	1	1	NUM
ejpam-6626	61	18	,	,	PUNCT
ejpam-6626	61	19	is	be	AUX
ejpam-6626	61	20	defined	define	VERB
ejpam-6626	61	21	i.	i.	PROPN
ejpam-6626	61	22	kadri	kadri	PROPN
ejpam-6626	61	23	et	et	PROPN
ejpam-6626	61	24	al	al	PROPN
ejpam-6626	61	25	.	.	PUNCT
ejpam-6626	61	26	/	/	SYM
ejpam-6626	61	27	eur	eur	PROPN
ejpam-6626	61	28	.	.	PUNCT
ejpam-6626	62	1	j.	j.	PROPN
ejpam-6626	62	2	pure	pure	PROPN
ejpam-6626	62	3	appl	appl	PROPN
ejpam-6626	62	4	.	.	PROPN
ejpam-6626	62	5	math	math	PROPN
ejpam-6626	62	6	,	,	PUNCT
ejpam-6626	62	7	18	18	NUM
ejpam-6626	62	8	(	(	PUNCT
ejpam-6626	62	9	3	3	NUM
ejpam-6626	62	10	)	)	PUNCT
ejpam-6626	62	11	(	(	PUNCT
ejpam-6626	62	12	2025	2025	NUM
ejpam-6626	62	13	)	)	PUNCT
ejpam-6626	62	14	,	,	PUNCT
ejpam-6626	62	15	6626	6626	NUM
ejpam-6626	62	16	4	4	NUM
ejpam-6626	62	17	of	of	ADP
ejpam-6626	62	18	24	24	NUM
ejpam-6626	62	19	as	as	ADP
ejpam-6626	62	20	cdγ	cdγ	PROPN
ejpam-6626	62	21	t	t	PROPN
ejpam-6626	62	22	g(t	g(t	PROPN
ejpam-6626	62	23	)	)	PUNCT
ejpam-6626	62	24	=	=	SYM
ejpam-6626	62	25	1	1	NUM
ejpam-6626	62	26	γ(1−	γ(1−	NOUN
ejpam-6626	62	27	γ	γ	X
ejpam-6626	62	28	)	)	PUNCT
ejpam-6626	62	29	∫	∫	PROPN
ejpam-6626	62	30	t	t	PROPN
ejpam-6626	62	31	0	0	NUM
ejpam-6626	62	32	(	(	PUNCT
ejpam-6626	62	33	t−	t−	PROPN
ejpam-6626	62	34	η)−γg′(η)dη	η)−γg′(η)dη	NOUN
ejpam-6626	62	35	,	,	PUNCT
ejpam-6626	62	36	(	(	PUNCT
ejpam-6626	62	37	2.1	2.1	NUM
ejpam-6626	62	38	)	)	PUNCT
ejpam-6626	62	39	where	where	SCONJ
ejpam-6626	62	40	,	,	PUNCT
ejpam-6626	62	41	the	the	DET
ejpam-6626	62	42	gamma	gamma	PROPN
ejpam-6626	62	43	function	function	PROPN
ejpam-6626	62	44	γ	γ	X
ejpam-6626	62	45	(	(	PUNCT
ejpam-6626	62	46	.	.	PUNCT
ejpam-6626	62	47	)	)	PUNCT
ejpam-6626	62	48	,	,	PUNCT
ejpam-6626	62	49	has	have	VERB
ejpam-6626	62	50	the	the	DET
ejpam-6626	62	51	integral	integral	ADJ
ejpam-6626	62	52	representation	representation	NOUN
ejpam-6626	62	53	shown	show	VERB
ejpam-6626	62	54	below	below	ADV
ejpam-6626	62	55	.	.	PUNCT
ejpam-6626	63	1	γ(x	γ(x	X
ejpam-6626	63	2	)	)	PUNCT
ejpam-6626	64	1	=	=	SYM
ejpam-6626	64	2	∫	∫	PROPN
ejpam-6626	65	1	∞	∞	NUM
ejpam-6626	65	2	0	0	NUM
ejpam-6626	65	3	e−ttx−1dt	e−ttx−1dt	NOUN
ejpam-6626	65	4	.	.	PUNCT
ejpam-6626	66	1	definition	definition	NOUN
ejpam-6626	66	2	2	2	NUM
ejpam-6626	66	3	:	:	PUNCT
ejpam-6626	67	1	[	[	X
ejpam-6626	67	2	29	29	NUM
ejpam-6626	67	3	]	]	PUNCT
ejpam-6626	67	4	the	the	DET
ejpam-6626	67	5	mittag	mittag	ADJ
ejpam-6626	67	6	-	-	PUNCT
ejpam-6626	67	7	leffler	leffler	NOUN
ejpam-6626	67	8	function	function	NOUN
ejpam-6626	67	9	used	use	VERB
ejpam-6626	67	10	in	in	ADP
ejpam-6626	67	11	fractional	fractional	ADJ
ejpam-6626	67	12	calculus	calculus	NOUN
ejpam-6626	67	13	,	,	PUNCT
ejpam-6626	67	14	is	be	AUX
ejpam-6626	67	15	defined	define	VERB
ejpam-6626	67	16	for	for	ADP
ejpam-6626	67	17	complex	complex	ADJ
ejpam-6626	67	18	t	t	NOUN
ejpam-6626	67	19	and	and	CCONJ
ejpam-6626	67	20	γ	γ	X
ejpam-6626	67	21	>	>	X
ejpam-6626	67	22	0	0	PUNCT
ejpam-6626	67	23	as	as	ADP
ejpam-6626	67	24	eγ(t	eγ(t	NOUN
ejpam-6626	67	25	)	)	PUNCT
ejpam-6626	67	26	=	=	SYM
ejpam-6626	68	1	∞∑	∞∑	NUM
ejpam-6626	68	2	k=0	k=0	PROPN
ejpam-6626	68	3	tk	tk	PROPN
ejpam-6626	68	4	γ(1	γ(1	PROPN
ejpam-6626	68	5	+	+	NUM
ejpam-6626	68	6	γk	γk	NOUN
ejpam-6626	68	7	)	)	PUNCT
ejpam-6626	68	8	.	.	PUNCT
ejpam-6626	69	1	(	(	PUNCT
ejpam-6626	69	2	2.2	2.2	NUM
ejpam-6626	69	3	)	)	PUNCT
ejpam-6626	69	4	definition	definition	NOUN
ejpam-6626	69	5	3	3	NUM
ejpam-6626	69	6	:	:	PUNCT
ejpam-6626	70	1	[	[	X
ejpam-6626	70	2	15	15	NUM
ejpam-6626	70	3	]	]	PUNCT
ejpam-6626	70	4	let	let	VERB
ejpam-6626	70	5	g	g	PROPN
ejpam-6626	70	6	∈	∈	PROPN
ejpam-6626	70	7	h1(a	h1(a	PROPN
ejpam-6626	70	8	,	,	PUNCT
ejpam-6626	70	9	b	b	NOUN
ejpam-6626	70	10	)	)	PUNCT
ejpam-6626	70	11	,	,	PUNCT
ejpam-6626	70	12	a	a	DET
ejpam-6626	70	13	<	<	X
ejpam-6626	70	14	b	b	PROPN
ejpam-6626	70	15	,	,	PUNCT
ejpam-6626	70	16	a	a	DET
ejpam-6626	70	17	∈	∈	PROPN
ejpam-6626	70	18	(	(	PUNCT
ejpam-6626	70	19	−∞	−∞	PROPN
ejpam-6626	70	20	,	,	PUNCT
ejpam-6626	70	21	t	t	PROPN
ejpam-6626	70	22	)	)	PUNCT
ejpam-6626	70	23	,	,	PUNCT
ejpam-6626	70	24	0	0	PUNCT
ejpam-6626	70	25	<	<	X
ejpam-6626	70	26	γ	γ	X
ejpam-6626	70	27	<	<	X
ejpam-6626	70	28	1	1	NUM
ejpam-6626	70	29	,	,	PUNCT
ejpam-6626	70	30	the	the	DET
ejpam-6626	70	31	caputofabrizio	caputofabrizio	NOUN
ejpam-6626	70	32	fractional	fractional	ADJ
ejpam-6626	70	33	derivative	derivative	NOUN
ejpam-6626	70	34	in	in	ADP
ejpam-6626	70	35	the	the	DET
ejpam-6626	70	36	caputo	caputo	PROPN
ejpam-6626	70	37	sense	sense	NOUN
ejpam-6626	70	38	is	be	AUX
ejpam-6626	70	39	given	give	VERB
ejpam-6626	70	40	as	as	ADP
ejpam-6626	70	41	cfdγ	cfdγ	PROPN
ejpam-6626	70	42	t	t	PROPN
ejpam-6626	70	43	g(t	g(t	PROPN
ejpam-6626	70	44	)	)	PUNCT
ejpam-6626	70	45	=	=	SYM
ejpam-6626	70	46	m(γ	m(γ	PROPN
ejpam-6626	70	47	)	)	PUNCT
ejpam-6626	70	48	1−	1−	NUM
ejpam-6626	70	49	γ	γ	PROPN
ejpam-6626	70	50	∫	∫	PROPN
ejpam-6626	70	51	t	t	PROPN
ejpam-6626	70	52	0	0	NUM
ejpam-6626	70	53	e	e	NOUN
ejpam-6626	70	54	−γ(t−η	−γ(t−η	NOUN
ejpam-6626	70	55	)	)	PUNCT
ejpam-6626	70	56	1−γ	1−γ	NUM
ejpam-6626	70	57	g′(η)dη	g′(η)dη	PROPN
ejpam-6626	70	58	,	,	PUNCT
ejpam-6626	70	59	where	where	SCONJ
ejpam-6626	70	60	,	,	PUNCT
ejpam-6626	70	61	m(γ	m(γ	NOUN
ejpam-6626	70	62	)	)	PUNCT
ejpam-6626	70	63	>	>	X
ejpam-6626	70	64	0	0	PUNCT
ejpam-6626	70	65	is	be	AUX
ejpam-6626	70	66	a	a	DET
ejpam-6626	70	67	normalization	normalization	NOUN
ejpam-6626	70	68	function	function	NOUN
ejpam-6626	70	69	that	that	SCONJ
ejpam-6626	70	70	satisfies	satisfy	VERB
ejpam-6626	70	71	m(0	m(0	NOUN
ejpam-6626	71	1	)	)	PUNCT
ejpam-6626	71	2	=	=	SYM
ejpam-6626	71	3	m(1	m(1	NOUN
ejpam-6626	71	4	)	)	PUNCT
ejpam-6626	71	5	=	=	SYM
ejpam-6626	71	6	1	1	X
ejpam-6626	71	7	.	.	X
ejpam-6626	71	8	definition	definition	NOUN
ejpam-6626	71	9	4	4	NUM
ejpam-6626	71	10	:	:	PUNCT
ejpam-6626	72	1	[	[	X
ejpam-6626	72	2	10	10	NUM
ejpam-6626	72	3	]	]	PUNCT
ejpam-6626	72	4	let	let	VERB
ejpam-6626	72	5	g	g	PROPN
ejpam-6626	72	6	∈	∈	PROPN
ejpam-6626	72	7	h1(a	h1(a	PROPN
ejpam-6626	72	8	,	,	PUNCT
ejpam-6626	72	9	b	b	NOUN
ejpam-6626	72	10	)	)	PUNCT
ejpam-6626	72	11	,	,	PUNCT
ejpam-6626	72	12	a	a	DET
ejpam-6626	72	13	<	<	X
ejpam-6626	72	14	b	b	PROPN
ejpam-6626	72	15	,	,	PUNCT
ejpam-6626	72	16	a	a	DET
ejpam-6626	72	17	∈	∈	PROPN
ejpam-6626	72	18	(	(	PUNCT
ejpam-6626	72	19	−∞	−∞	PROPN
ejpam-6626	72	20	,	,	PUNCT
ejpam-6626	72	21	t	t	PROPN
ejpam-6626	72	22	)	)	PUNCT
ejpam-6626	72	23	,	,	PUNCT
ejpam-6626	72	24	0	0	PUNCT
ejpam-6626	72	25	<	<	X
ejpam-6626	72	26	γ	γ	X
ejpam-6626	72	27	<	<	X
ejpam-6626	72	28	1	1	NUM
ejpam-6626	72	29	,	,	PUNCT
ejpam-6626	72	30	the	the	DET
ejpam-6626	72	31	atanganabaleanu	atanganabaleanu	NOUN
ejpam-6626	72	32	-	-	PUNCT
ejpam-6626	72	33	caputo	caputo	PROPN
ejpam-6626	72	34	fractional	fractional	PROPN
ejpam-6626	72	35	derivative	derivative	NOUN
ejpam-6626	72	36	is	be	AUX
ejpam-6626	72	37	expressed	express	VERB
ejpam-6626	72	38	as	as	ADP
ejpam-6626	72	39	abcdγ	abcdγ	PROPN
ejpam-6626	72	40	t	t	PROPN
ejpam-6626	72	41	g(t	g(t	PROPN
ejpam-6626	72	42	)	)	PUNCT
ejpam-6626	72	43	=	=	SYM
ejpam-6626	72	44	m(γ	m(γ	PROPN
ejpam-6626	72	45	)	)	PUNCT
ejpam-6626	72	46	1−	1−	NUM
ejpam-6626	72	47	γ	γ	PROPN
ejpam-6626	72	48	∫	∫	PROPN
ejpam-6626	72	49	t	t	PROPN
ejpam-6626	72	50	a	a	DET
ejpam-6626	72	51	g′(η)eγ	g′(η)eγ	PROPN
ejpam-6626	72	52	[	[	PUNCT
ejpam-6626	72	53	−γ(t−	−γ(t−	X
ejpam-6626	72	54	η)γ	η)γ	PROPN
ejpam-6626	72	55	1−	1−	NUM
ejpam-6626	72	56	γ	γ	X
ejpam-6626	72	57	]	]	PUNCT
ejpam-6626	72	58	dη	dη	NOUN
ejpam-6626	72	59	,	,	PUNCT
ejpam-6626	72	60	where	where	SCONJ
ejpam-6626	72	61	,	,	PUNCT
ejpam-6626	72	62	m(γ	m(γ	NOUN
ejpam-6626	72	63	)	)	PUNCT
ejpam-6626	72	64	>	>	X
ejpam-6626	72	65	0	0	PUNCT
ejpam-6626	72	66	is	be	AUX
ejpam-6626	72	67	a	a	DET
ejpam-6626	72	68	normalization	normalization	NOUN
ejpam-6626	72	69	function	function	NOUN
ejpam-6626	72	70	satisfying	satisfy	VERB
ejpam-6626	72	71	m(0	m(0	NOUN
ejpam-6626	73	1	)	)	PUNCT
ejpam-6626	73	2	=	=	SYM
ejpam-6626	73	3	m(1	m(1	NOUN
ejpam-6626	73	4	)	)	PUNCT
ejpam-6626	73	5	=	=	SYM
ejpam-6626	73	6	1	1	NUM
ejpam-6626	73	7	and	and	CCONJ
ejpam-6626	73	8	eα	eα	PROPN
ejpam-6626	73	9	is	be	AUX
ejpam-6626	73	10	known	know	VERB
ejpam-6626	73	11	as	as	ADP
ejpam-6626	73	12	the	the	DET
ejpam-6626	73	13	generalized	generalize	VERB
ejpam-6626	73	14	mittag	mittag	ADJ
ejpam-6626	73	15	-	-	PUNCT
ejpam-6626	73	16	leffler	leffler	NOUN
ejpam-6626	73	17	function	function	NOUN
ejpam-6626	73	18	.	.	PUNCT
ejpam-6626	74	1	definition	definition	NOUN
ejpam-6626	74	2	5	5	NUM
ejpam-6626	74	3	:	:	PUNCT
ejpam-6626	75	1	[	[	X
ejpam-6626	75	2	11	11	NUM
ejpam-6626	75	3	]	]	PUNCT
ejpam-6626	75	4	the	the	DET
ejpam-6626	75	5	aboodh	aboodh	ADJ
ejpam-6626	75	6	transform	transform	NOUN
ejpam-6626	75	7	of	of	ADP
ejpam-6626	75	8	g(t	g(t	PROPN
ejpam-6626	75	9	)	)	PUNCT
ejpam-6626	75	10	is	be	AUX
ejpam-6626	75	11	defined	define	VERB
ejpam-6626	75	12	in	in	ADP
ejpam-6626	75	13	the	the	DET
ejpam-6626	75	14	following	follow	VERB
ejpam-6626	75	15	manner	manner	NOUN
ejpam-6626	75	16	:	:	PUNCT
ejpam-6626	75	17	a	a	DET
ejpam-6626	75	18	[	[	X
ejpam-6626	75	19	g(t	g(t	NOUN
ejpam-6626	75	20	)	)	PUNCT
ejpam-6626	75	21	]	]	PUNCT
ejpam-6626	76	1	=	=	PUNCT
ejpam-6626	76	2	1	1	NUM
ejpam-6626	76	3	s	s	NOUN
ejpam-6626	76	4	∫	∫	PROPN
ejpam-6626	76	5	∞	∞	PROPN
ejpam-6626	76	6	0	0	NUM
ejpam-6626	77	1	g(t)e−stdt	g(t)e−stdt	PROPN
ejpam-6626	77	2	=	=	SYM
ejpam-6626	77	3	a(s	a(s	PROPN
ejpam-6626	77	4	)	)	PUNCT
ejpam-6626	77	5	,	,	PUNCT
ejpam-6626	77	6	t	t	PROPN
ejpam-6626	77	7	≥	≥	NUM
ejpam-6626	77	8	0	0	NUM
ejpam-6626	77	9	,	,	PUNCT
ejpam-6626	77	10	(	(	PUNCT
ejpam-6626	77	11	2.3	2.3	NUM
ejpam-6626	77	12	)	)	PUNCT
ejpam-6626	77	13	easily	easily	ADV
ejpam-6626	77	14	one	one	PRON
ejpam-6626	77	15	can	can	AUX
ejpam-6626	77	16	see	see	VERB
ejpam-6626	77	17	that	that	SCONJ
ejpam-6626	77	18	,	,	PUNCT
ejpam-6626	77	19	the	the	DET
ejpam-6626	77	20	aboodh	aboodh	ADJ
ejpam-6626	77	21	transform	transform	NOUN
ejpam-6626	77	22	is	be	AUX
ejpam-6626	77	23	linear	linear	ADJ
ejpam-6626	77	24	.	.	PUNCT
ejpam-6626	78	1	definition	definition	NOUN
ejpam-6626	78	2	6	6	NUM
ejpam-6626	78	3	:	:	PUNCT
ejpam-6626	79	1	[	[	X
ejpam-6626	79	2	11	11	NUM
ejpam-6626	79	3	]	]	PUNCT
ejpam-6626	79	4	if	if	SCONJ
ejpam-6626	79	5	a[g(t	a[g(t	PROPN
ejpam-6626	79	6	)	)	PUNCT
ejpam-6626	79	7	]	]	PUNCT
ejpam-6626	80	1	=	=	SYM
ejpam-6626	80	2	a(s	a(s	PROPN
ejpam-6626	80	3	)	)	PUNCT
ejpam-6626	80	4	,	,	PUNCT
ejpam-6626	80	5	the	the	DET
ejpam-6626	80	6	inverse	inverse	NOUN
ejpam-6626	80	7	aboodh	aboodh	NOUN
ejpam-6626	80	8	transform	transform	NOUN
ejpam-6626	80	9	of	of	ADP
ejpam-6626	80	10	g(t	g(t	PROPN
ejpam-6626	80	11	)	)	PUNCT
ejpam-6626	80	12	is	be	AUX
ejpam-6626	80	13	defined	define	VERB
ejpam-6626	80	14	as	as	ADP
ejpam-6626	80	15	:	:	PUNCT
ejpam-6626	80	16	g(t	g(t	PROPN
ejpam-6626	80	17	)	)	PUNCT
ejpam-6626	81	1	=	=	SYM
ejpam-6626	81	2	a−1	a−1	PROPN
ejpam-6626	81	3	[	[	X
ejpam-6626	81	4	a(s	a(s	PROPN
ejpam-6626	81	5	)	)	PUNCT
ejpam-6626	81	6	]	]	PUNCT
ejpam-6626	81	7	.	.	PUNCT
ejpam-6626	82	1	(	(	PUNCT
ejpam-6626	82	2	2.4	2.4	NUM
ejpam-6626	82	3	)	)	PUNCT
ejpam-6626	82	4	definition	definition	NOUN
ejpam-6626	82	5	7	7	NUM
ejpam-6626	82	6	:	:	PUNCT
ejpam-6626	83	1	[	[	X
ejpam-6626	83	2	19	19	NUM
ejpam-6626	83	3	]	]	PUNCT
ejpam-6626	83	4	the	the	DET
ejpam-6626	83	5	aboodh	aboodh	PROPN
ejpam-6626	83	6	transform	transform	VERB
ejpam-6626	83	7	for	for	ADP
ejpam-6626	83	8	the	the	DET
ejpam-6626	83	9	caputo	caputo	PROPN
ejpam-6626	83	10	operator	operator	NOUN
ejpam-6626	83	11	of	of	ADP
ejpam-6626	83	12	order	order	NOUN
ejpam-6626	83	13	γ	γ	X
ejpam-6626	83	14	is	be	AUX
ejpam-6626	83	15	defined	define	VERB
ejpam-6626	83	16	as	as	SCONJ
ejpam-6626	83	17	follows	follow	VERB
ejpam-6626	83	18	:	:	PUNCT
ejpam-6626	83	19	a	a	DET
ejpam-6626	83	20	[	[	PUNCT
ejpam-6626	83	21	cdγ	cdγ	X
ejpam-6626	83	22	t	t	PROPN
ejpam-6626	83	23	g(t	g(t	PROPN
ejpam-6626	83	24	)	)	PUNCT
ejpam-6626	83	25	]	]	PUNCT
ejpam-6626	84	1	=	=	PUNCT
ejpam-6626	84	2	sγa	sγa	PROPN
ejpam-6626	85	1	[	[	X
ejpam-6626	85	2	g(t)]−	g(t)]−	ADJ
ejpam-6626	85	3	m−1∑	m−1∑	PRON
ejpam-6626	85	4	k=0	k=0	PROPN
ejpam-6626	85	5	g(k)(0	g(k)(0	PROPN
ejpam-6626	85	6	)	)	PUNCT
ejpam-6626	85	7	s2−γ+k	s2−γ+k	PROPN
ejpam-6626	85	8	,	,	PUNCT
ejpam-6626	85	9	m	m	PROPN
ejpam-6626	85	10	∈	∈	PROPN
ejpam-6626	85	11	n	n	CCONJ
ejpam-6626	85	12	,	,	PUNCT
ejpam-6626	85	13	m−	m−	PROPN
ejpam-6626	85	14	1	1	NUM
ejpam-6626	85	15	<	<	X
ejpam-6626	85	16	γ	γ	X
ejpam-6626	85	17	≤	≤	PROPN
ejpam-6626	85	18	m.	m.	NOUN
ejpam-6626	85	19	(	(	PUNCT
ejpam-6626	85	20	2.5	2.5	NUM
ejpam-6626	85	21	)	)	PUNCT
ejpam-6626	85	22	definition	definition	NOUN
ejpam-6626	85	23	8	8	NUM
ejpam-6626	85	24	:	:	PUNCT
ejpam-6626	86	1	[	[	X
ejpam-6626	86	2	13	13	NUM
ejpam-6626	86	3	]	]	PUNCT
ejpam-6626	86	4	the	the	DET
ejpam-6626	86	5	aboodh	aboodh	ADJ
ejpam-6626	86	6	transform	transform	NOUN
ejpam-6626	86	7	of	of	ADP
ejpam-6626	86	8	atangana	atangana	PROPN
ejpam-6626	86	9	-	-	PUNCT
ejpam-6626	86	10	baleanu	baleanu	ADJ
ejpam-6626	86	11	fractional	fractional	ADJ
ejpam-6626	86	12	operator	operator	NOUN
ejpam-6626	86	13	by	by	ADP
ejpam-6626	86	14	caputo	caputo	PROPN
ejpam-6626	86	15	’s	’s	PART
ejpam-6626	86	16	meaning	meaning	NOUN
ejpam-6626	86	17	is	be	AUX
ejpam-6626	86	18	given	give	VERB
ejpam-6626	86	19	as	as	ADP
ejpam-6626	86	20	:	:	PUNCT
ejpam-6626	86	21	a	a	DET
ejpam-6626	86	22	[	[	PUNCT
ejpam-6626	86	23	abcdγ	abcdγ	NOUN
ejpam-6626	86	24	t	t	PROPN
ejpam-6626	86	25	g(t	g(t	PROPN
ejpam-6626	86	26	)	)	PUNCT
ejpam-6626	86	27	]	]	PUNCT
ejpam-6626	87	1	=	=	PUNCT
ejpam-6626	87	2	m(γ	m(γ	PROPN
ejpam-6626	87	3	)	)	PUNCT
ejpam-6626	88	1	1−	1−	NUM
ejpam-6626	88	2	γ	γ	X
ejpam-6626	88	3	+	+	X
ejpam-6626	88	4	γs−γ	γs−γ	PROPN
ejpam-6626	88	5	(	(	PUNCT
ejpam-6626	88	6	a	a	DET
ejpam-6626	88	7	[	[	X
ejpam-6626	88	8	g(t)]−	g(t)]−	ADJ
ejpam-6626	88	9	s−2g(0	s−2g(0	NOUN
ejpam-6626	88	10	)	)	PUNCT
ejpam-6626	88	11	)	)	PUNCT
ejpam-6626	88	12	.	.	PUNCT
ejpam-6626	89	1	(	(	PUNCT
ejpam-6626	89	2	2.6	2.6	NUM
ejpam-6626	89	3	)	)	PUNCT
ejpam-6626	89	4	i.	i.	PROPN
ejpam-6626	89	5	kadri	kadri	PROPN
ejpam-6626	89	6	et	et	PROPN
ejpam-6626	89	7	al	al	PROPN
ejpam-6626	89	8	.	.	PUNCT
ejpam-6626	89	9	/	/	SYM
ejpam-6626	89	10	eur	eur	PROPN
ejpam-6626	89	11	.	.	PUNCT
ejpam-6626	90	1	j.	j.	PROPN
ejpam-6626	90	2	pure	pure	PROPN
ejpam-6626	90	3	appl	appl	PROPN
ejpam-6626	90	4	.	.	PROPN
ejpam-6626	90	5	math	math	PROPN
ejpam-6626	90	6	,	,	PUNCT
ejpam-6626	90	7	18	18	NUM
ejpam-6626	90	8	(	(	PUNCT
ejpam-6626	90	9	3	3	NUM
ejpam-6626	90	10	)	)	PUNCT
ejpam-6626	90	11	(	(	PUNCT
ejpam-6626	90	12	2025	2025	NUM
ejpam-6626	90	13	)	)	PUNCT
ejpam-6626	90	14	,	,	PUNCT
ejpam-6626	90	15	6626	6626	NUM
ejpam-6626	90	16	5	5	NUM
ejpam-6626	90	17	of	of	ADP
ejpam-6626	90	18	24	24	NUM
ejpam-6626	90	19	definition	definition	NOUN
ejpam-6626	90	20	9	9	NUM
ejpam-6626	90	21	:	:	PUNCT
ejpam-6626	91	1	[	[	X
ejpam-6626	91	2	18	18	NUM
ejpam-6626	91	3	]	]	PUNCT
ejpam-6626	91	4	the	the	DET
ejpam-6626	91	5	aboodh	aboodh	ADJ
ejpam-6626	91	6	transform	transform	NOUN
ejpam-6626	91	7	of	of	ADP
ejpam-6626	91	8	the	the	DET
ejpam-6626	91	9	caputo	caputo	PROPN
ejpam-6626	91	10	-	-	PUNCT
ejpam-6626	91	11	fabrizio	fabrizio	PROPN
ejpam-6626	91	12	operator	operator	NOUN
ejpam-6626	91	13	is	be	AUX
ejpam-6626	91	14	expressed	express	VERB
ejpam-6626	91	15	as	as	ADP
ejpam-6626	91	16	:	:	PUNCT
ejpam-6626	91	17	a	a	DET
ejpam-6626	91	18	[	[	PUNCT
ejpam-6626	91	19	cfdγ	cfdγ	PROPN
ejpam-6626	91	20	t	t	PROPN
ejpam-6626	91	21	g(t	g(t	PROPN
ejpam-6626	91	22	)	)	PUNCT
ejpam-6626	91	23	]	]	PUNCT
ejpam-6626	92	1	=	=	PUNCT
ejpam-6626	92	2	s1+γ	s1+γ	PROPN
ejpam-6626	92	3	s2(1−	s2(1−	PROPN
ejpam-6626	92	4	γ	γ	PROPN
ejpam-6626	92	5	)	)	PUNCT
ejpam-6626	92	6	+	+	CCONJ
ejpam-6626	92	7	γs	γ	VERB
ejpam-6626	92	8	a	a	DET
ejpam-6626	92	9	[	[	X
ejpam-6626	92	10	g(t)]−	g(t)]−	ADJ
ejpam-6626	92	11	m−1∑	m−1∑	PRON
ejpam-6626	92	12	k=0	k=0	PROPN
ejpam-6626	92	13	g(k)(0	g(k)(0	PROPN
ejpam-6626	92	14	)	)	PUNCT
ejpam-6626	92	15	s2−γ+k	s2−γ+k	PROPN
ejpam-6626	92	16	,	,	PUNCT
ejpam-6626	92	17	m	m	PROPN
ejpam-6626	92	18	∈	∈	PROPN
ejpam-6626	92	19	n	n	CCONJ
ejpam-6626	92	20	,	,	PUNCT
ejpam-6626	92	21	m−	m−	PROPN
ejpam-6626	92	22	1	1	NUM
ejpam-6626	92	23	<	<	X
ejpam-6626	92	24	γ	γ	X
ejpam-6626	92	25	≤	≤	X
ejpam-6626	92	26	m.	m.	NOUN
ejpam-6626	92	27	(	(	PUNCT
ejpam-6626	92	28	2.7	2.7	NUM
ejpam-6626	92	29	)	)	PUNCT
ejpam-6626	92	30	3	3	NUM
ejpam-6626	92	31	.	.	PUNCT
ejpam-6626	93	1	the	the	DET
ejpam-6626	93	2	aboodh	aboodh	ADJ
ejpam-6626	93	3	decomposition	decomposition	NOUN
ejpam-6626	93	4	transform	transform	NOUN
ejpam-6626	93	5	for	for	ADP
ejpam-6626	93	6	time	time	NOUN
ejpam-6626	93	7	-	-	PUNCT
ejpam-6626	93	8	fractional	fractional	ADJ
ejpam-6626	93	9	wbk	wbk	NOUN
ejpam-6626	93	10	equations	equation	NOUN
ejpam-6626	93	11	the	the	DET
ejpam-6626	93	12	fundamental	fundamental	ADJ
ejpam-6626	93	13	concept	concept	NOUN
ejpam-6626	93	14	behind	behind	ADP
ejpam-6626	93	15	the	the	DET
ejpam-6626	93	16	aboodh	aboodh	ADJ
ejpam-6626	93	17	decomposition	decomposition	NOUN
ejpam-6626	93	18	transform	transform	NOUN
ejpam-6626	93	19	to	to	ADP
ejpam-6626	93	20	the	the	DET
ejpam-6626	93	21	time	time	NOUN
ejpam-6626	93	22	fractional	fractional	ADJ
ejpam-6626	93	23	whitham	whitham	NOUN
ejpam-6626	93	24	-	-	PUNCT
ejpam-6626	93	25	broer	broer	NOUN
ejpam-6626	93	26	-	-	PUNCT
ejpam-6626	93	27	kaup	kaup	NOUN
ejpam-6626	93	28	equations	equation	NOUN
ejpam-6626	93	29	is	be	AUX
ejpam-6626	93	30	demonstrated	demonstrate	VERB
ejpam-6626	93	31	in	in	ADP
ejpam-6626	93	32	this	this	DET
ejpam-6626	93	33	part	part	NOUN
ejpam-6626	93	34	.	.	PUNCT
ejpam-6626	94	1	consider	consider	VERB
ejpam-6626	94	2	the	the	DET
ejpam-6626	94	3	time	time	NOUN
ejpam-6626	94	4	fractional	fractional	ADJ
ejpam-6626	94	5	whitham	whitham	NOUN
ejpam-6626	94	6	-	-	PUNCT
ejpam-6626	94	7	broer	broer	NOUN
ejpam-6626	94	8	-	-	PUNCT
ejpam-6626	94	9	kaup	kaup	NOUN
ejpam-6626	94	10	equations	equation	NOUN
ejpam-6626	94	11	expressed	express	VERB
ejpam-6626	94	12	in	in	ADP
ejpam-6626	94	13	the	the	DET
ejpam-6626	94	14	following	following	ADJ
ejpam-6626	94	15	way	way	NOUN
ejpam-6626	94	16	:	:	PUNCT
ejpam-6626	94	17	∂γg	∂γg	VERB
ejpam-6626	94	18	∂tγ	∂tγ	PROPN
ejpam-6626	94	19	+	+	CCONJ
ejpam-6626	94	20	g	g	NOUN
ejpam-6626	94	21	∂βg	∂βg	NOUN
ejpam-6626	94	22	∂xβ	∂xβ	NOUN
ejpam-6626	94	23	+	+	CCONJ
ejpam-6626	94	24	∂βh	∂βh	PROPN
ejpam-6626	94	25	∂xβ	∂xβ	PROPN
ejpam-6626	94	26	+	+	CCONJ
ejpam-6626	94	27	d1	d1	PROPN
ejpam-6626	94	28	∂2βg	∂2βg	NOUN
ejpam-6626	94	29	∂x2β	∂x2β	NOUN
ejpam-6626	94	30	=	=	SYM
ejpam-6626	94	31	0	0	NUM
ejpam-6626	94	32	,	,	PUNCT
ejpam-6626	94	33	∂γh	∂γh	PROPN
ejpam-6626	94	34	∂tγ	∂tγ	PROPN
ejpam-6626	94	35	+	+	CCONJ
ejpam-6626	94	36	g	g	PROPN
ejpam-6626	94	37	∂βh	∂βh	PROPN
ejpam-6626	94	38	∂xβ	∂xβ	PROPN
ejpam-6626	94	39	+	+	CCONJ
ejpam-6626	94	40	h	h	NOUN
ejpam-6626	94	41	∂βg	∂βg	PROPN
ejpam-6626	94	42	∂xβ	∂xβ	NOUN
ejpam-6626	94	43	+	+	CCONJ
ejpam-6626	94	44	d2	d2	NOUN
ejpam-6626	94	45	∂3βg	∂3βg	NOUN
ejpam-6626	94	46	∂x3β	∂x3β	ADP
ejpam-6626	94	47	−	−	PROPN
ejpam-6626	94	48	d1	d1	PROPN
ejpam-6626	94	49	∂2βg	∂2βg	NOUN
ejpam-6626	94	50	∂x2β	∂x2β	PROPN
ejpam-6626	94	51	=	=	SYM
ejpam-6626	94	52	0	0	NUM
ejpam-6626	94	53	,	,	PUNCT
ejpam-6626	94	54	(	(	PUNCT
ejpam-6626	94	55	3.1	3.1	NUM
ejpam-6626	94	56	)	)	PUNCT
ejpam-6626	94	57	where	where	SCONJ
ejpam-6626	94	58	,	,	PUNCT
ejpam-6626	94	59	t	t	PROPN
ejpam-6626	94	60	,	,	PUNCT
ejpam-6626	94	61	x	x	X
ejpam-6626	94	62	≥	≥	NOUN
ejpam-6626	94	63	0	0	NUM
ejpam-6626	94	64	,	,	PUNCT
ejpam-6626	94	65	0	0	NUM
ejpam-6626	94	66	<	<	X
ejpam-6626	94	67	γ	γ	X
ejpam-6626	94	68	,	,	PUNCT
ejpam-6626	94	69	β	β	X
ejpam-6626	94	70	≤	≤	NUM
ejpam-6626	94	71	1	1	NUM
ejpam-6626	94	72	,	,	PUNCT
ejpam-6626	94	73	with	with	ADP
ejpam-6626	94	74	initial	initial	ADJ
ejpam-6626	94	75	conditions	condition	NOUN
ejpam-6626	94	76	given	give	VERB
ejpam-6626	94	77	as	as	ADP
ejpam-6626	94	78	:	:	PUNCT
ejpam-6626	94	79	g(0	g(0	NOUN
ejpam-6626	94	80	,	,	PUNCT
ejpam-6626	94	81	x	x	NOUN
ejpam-6626	94	82	)	)	PUNCT
ejpam-6626	94	83	=	=	SYM
ejpam-6626	94	84	v(x	v(x	PROPN
ejpam-6626	94	85	)	)	PUNCT
ejpam-6626	94	86	,	,	PUNCT
ejpam-6626	94	87	h(0	h(0	PROPN
ejpam-6626	94	88	,	,	PUNCT
ejpam-6626	94	89	x	x	NOUN
ejpam-6626	94	90	)	)	PUNCT
ejpam-6626	94	91	=	=	SYM
ejpam-6626	94	92	w(x	w(x	NOUN
ejpam-6626	94	93	)	)	PUNCT
ejpam-6626	94	94	.	.	PUNCT
ejpam-6626	95	1	(	(	PUNCT
ejpam-6626	95	2	3.2	3.2	NUM
ejpam-6626	95	3	)	)	PUNCT
ejpam-6626	95	4	3.1	3.1	NUM
ejpam-6626	95	5	.	.	PUNCT
ejpam-6626	96	1	aboodh	aboodh	PROPN
ejpam-6626	96	2	decomposition	decomposition	NOUN
ejpam-6626	96	3	transform	transform	NOUN
ejpam-6626	96	4	under	under	ADP
ejpam-6626	96	5	caputo	caputo	PROPN
ejpam-6626	96	6	operator	operator	NOUN
ejpam-6626	96	7	.	.	PUNCT
ejpam-6626	97	1	now	now	ADV
ejpam-6626	97	2	,	,	PUNCT
ejpam-6626	97	3	we	we	PRON
ejpam-6626	97	4	describe	describe	VERB
ejpam-6626	97	5	the	the	DET
ejpam-6626	97	6	steps	step	NOUN
ejpam-6626	97	7	of	of	ADP
ejpam-6626	97	8	adt	adt	NOUN
ejpam-6626	97	9	method	method	NOUN
ejpam-6626	97	10	,	,	PUNCT
ejpam-6626	97	11	which	which	PRON
ejpam-6626	97	12	is	be	AUX
ejpam-6626	97	13	employed	employ	VERB
ejpam-6626	97	14	to	to	PART
ejpam-6626	97	15	address	address	VERB
ejpam-6626	97	16	our	our	PRON
ejpam-6626	97	17	overall	overall	ADJ
ejpam-6626	97	18	model	model	NOUN
ejpam-6626	97	19	.	.	PUNCT
ejpam-6626	98	1	step	step	NOUN
ejpam-6626	98	2	1	1	NUM
ejpam-6626	98	3	:	:	PUNCT
ejpam-6626	98	4	the	the	DET
ejpam-6626	98	5	aboodh	aboodh	ADJ
ejpam-6626	98	6	transform	transform	NOUN
ejpam-6626	98	7	is	be	AUX
ejpam-6626	98	8	implemented	implement	VERB
ejpam-6626	98	9	on	on	ADP
ejpam-6626	98	10	both	both	DET
ejpam-6626	98	11	sides	side	NOUN
ejpam-6626	98	12	of	of	ADP
ejpam-6626	98	13	eqs	eqs	PROPN
ejpam-6626	98	14	.	.	PUNCT
ejpam-6626	99	1	(	(	PUNCT
ejpam-6626	99	2	3.1	3.1	NUM
ejpam-6626	99	3	)	)	PUNCT
ejpam-6626	99	4	to	to	PART
ejpam-6626	99	5	achieve	achieve	VERB
ejpam-6626	99	6	the	the	DET
ejpam-6626	99	7	desired	desire	VERB
ejpam-6626	99	8	outcome	outcome	NOUN
ejpam-6626	99	9	:	:	PUNCT
ejpam-6626	99	10	a	a	DET
ejpam-6626	99	11	[	[	PUNCT
ejpam-6626	99	12	∂γg	∂γg	NOUN
ejpam-6626	99	13	∂tγ	∂tγ	PROPN
ejpam-6626	99	14	+	+	CCONJ
ejpam-6626	99	15	g	g	NOUN
ejpam-6626	99	16	∂βg	∂βg	NOUN
ejpam-6626	99	17	∂xβ	∂xβ	NOUN
ejpam-6626	99	18	+	+	CCONJ
ejpam-6626	99	19	∂βh	∂βh	PROPN
ejpam-6626	99	20	∂xβ	∂xβ	PROPN
ejpam-6626	99	21	+	+	CCONJ
ejpam-6626	99	22	d1	d1	PROPN
ejpam-6626	99	23	∂2βg	∂2βg	NOUN
ejpam-6626	99	24	∂x2β	∂x2β	NOUN
ejpam-6626	99	25	=	=	SYM
ejpam-6626	99	26	0	0	NUM
ejpam-6626	99	27	]	]	PUNCT
ejpam-6626	99	28	,	,	PUNCT
ejpam-6626	99	29	a	a	DET
ejpam-6626	99	30	[	[	PUNCT
ejpam-6626	99	31	∂γh	∂γh	PROPN
ejpam-6626	99	32	∂tγ	∂tγ	PROPN
ejpam-6626	99	33	+	+	CCONJ
ejpam-6626	99	34	g	g	PROPN
ejpam-6626	99	35	∂βh	∂βh	PROPN
ejpam-6626	99	36	∂xβ	∂xβ	PROPN
ejpam-6626	99	37	+	+	CCONJ
ejpam-6626	99	38	h	h	NOUN
ejpam-6626	99	39	∂βg	∂βg	PROPN
ejpam-6626	99	40	∂xβ	∂xβ	NOUN
ejpam-6626	99	41	+	+	CCONJ
ejpam-6626	99	42	d2	d2	NOUN
ejpam-6626	99	43	∂3βg	∂3βg	NOUN
ejpam-6626	99	44	∂x3β	∂x3β	ADP
ejpam-6626	99	45	−	−	PROPN
ejpam-6626	99	46	d1	d1	PROPN
ejpam-6626	99	47	∂2βg	∂2βg	NOUN
ejpam-6626	99	48	∂x2β	∂x2β	NOUN
ejpam-6626	99	49	=	=	SYM
ejpam-6626	99	50	0	0	NUM
ejpam-6626	99	51	]	]	PUNCT
ejpam-6626	99	52	,	,	PUNCT
ejpam-6626	99	53	(	(	PUNCT
ejpam-6626	99	54	3.3	3.3	NUM
ejpam-6626	99	55	)	)	PUNCT
ejpam-6626	99	56	using	use	VERB
ejpam-6626	99	57	the	the	DET
ejpam-6626	99	58	aboodh	aboodh	ADJ
ejpam-6626	99	59	transform	transform	NOUN
ejpam-6626	99	60	in	in	ADP
ejpam-6626	99	61	caputo	caputo	PROPN
ejpam-6626	99	62	’s	’s	PART
ejpam-6626	99	63	form	form	NOUN
ejpam-6626	99	64	given	give	VERB
ejpam-6626	99	65	by	by	ADP
ejpam-6626	99	66	eq	eq	PROPN
ejpam-6626	99	67	.	.	PUNCT
ejpam-6626	100	1	(	(	PUNCT
ejpam-6626	100	2	2.5	2.5	NUM
ejpam-6626	100	3	)	)	PUNCT
ejpam-6626	100	4	,	,	PUNCT
ejpam-6626	100	5	we	we	PRON
ejpam-6626	100	6	get	get	VERB
ejpam-6626	100	7	:	:	PUNCT
ejpam-6626	100	8	sγa	sγa	PROPN
ejpam-6626	101	1	[	[	X
ejpam-6626	101	2	g(t	g(t	PROPN
ejpam-6626	101	3	,	,	PUNCT
ejpam-6626	101	4	x	x	NOUN
ejpam-6626	101	5	)	)	PUNCT
ejpam-6626	101	6	]	]	PUNCT
ejpam-6626	102	1	=	=	SYM
ejpam-6626	102	2	1	1	NUM
ejpam-6626	102	3	s2−γ	s2−γ	PROPN
ejpam-6626	102	4	g(0	g(0	PROPN
ejpam-6626	102	5	,	,	PUNCT
ejpam-6626	102	6	x)−a	x)−a	PROPN
ejpam-6626	103	1	[	[	PUNCT
ejpam-6626	103	2	g	g	PROPN
ejpam-6626	103	3	∂βg	∂βg	PROPN
ejpam-6626	103	4	∂xβ	∂xβ	NOUN
ejpam-6626	103	5	+	+	CCONJ
ejpam-6626	103	6	∂βh	∂βh	PROPN
ejpam-6626	103	7	∂xβ	∂xβ	PROPN
ejpam-6626	103	8	+	+	CCONJ
ejpam-6626	103	9	d1	d1	PROPN
ejpam-6626	103	10	∂2βg	∂2βg	ADJ
ejpam-6626	103	11	∂x2β	∂x2β	PROPN
ejpam-6626	103	12	]	]	PUNCT
ejpam-6626	103	13	,	,	PUNCT
ejpam-6626	103	14	sγa	sγa	PROPN
ejpam-6626	104	1	[	[	X
ejpam-6626	104	2	h(t	h(t	PROPN
ejpam-6626	104	3	,	,	PUNCT
ejpam-6626	104	4	x	x	NOUN
ejpam-6626	104	5	)	)	PUNCT
ejpam-6626	104	6	]	]	PUNCT
ejpam-6626	104	7	=	=	SYM
ejpam-6626	104	8	1	1	NUM
ejpam-6626	104	9	s2−γ	s2−γ	PROPN
ejpam-6626	104	10	h(0	h(0	PROPN
ejpam-6626	104	11	,	,	PUNCT
ejpam-6626	104	12	x)−a	x)−a	PROPN
ejpam-6626	104	13	[	[	PUNCT
ejpam-6626	104	14	g	g	PROPN
ejpam-6626	104	15	∂βh	∂βh	PROPN
ejpam-6626	104	16	∂xβ	∂xβ	PROPN
ejpam-6626	104	17	+	+	CCONJ
ejpam-6626	104	18	h	h	NOUN
ejpam-6626	104	19	∂βg	∂βg	PROPN
ejpam-6626	104	20	∂xβ	∂xβ	NOUN
ejpam-6626	104	21	+	+	CCONJ
ejpam-6626	104	22	d2	d2	NOUN
ejpam-6626	104	23	∂3βg	∂3βg	NOUN
ejpam-6626	104	24	∂x3β	∂x3β	ADP
ejpam-6626	104	25	−	−	PROPN
ejpam-6626	104	26	d1	d1	PROPN
ejpam-6626	104	27	∂2βg	∂2βg	NOUN
ejpam-6626	104	28	∂x2β	∂x2β	PROPN
ejpam-6626	104	29	]	]	PUNCT
ejpam-6626	104	30	.	.	PUNCT
ejpam-6626	105	1	(	(	PUNCT
ejpam-6626	105	2	3.4	3.4	NUM
ejpam-6626	105	3	)	)	PUNCT
ejpam-6626	105	4	i.	i.	PROPN
ejpam-6626	105	5	kadri	kadri	PROPN
ejpam-6626	105	6	et	et	PROPN
ejpam-6626	105	7	al	al	PROPN
ejpam-6626	105	8	.	.	PUNCT
ejpam-6626	105	9	/	/	SYM
ejpam-6626	105	10	eur	eur	PROPN
ejpam-6626	105	11	.	.	PUNCT
ejpam-6626	106	1	j.	j.	PROPN
ejpam-6626	106	2	pure	pure	PROPN
ejpam-6626	106	3	appl	appl	PROPN
ejpam-6626	106	4	.	.	PROPN
ejpam-6626	106	5	math	math	PROPN
ejpam-6626	106	6	,	,	PUNCT
ejpam-6626	106	7	18	18	NUM
ejpam-6626	106	8	(	(	PUNCT
ejpam-6626	106	9	3	3	NUM
ejpam-6626	106	10	)	)	PUNCT
ejpam-6626	106	11	(	(	PUNCT
ejpam-6626	106	12	2025	2025	NUM
ejpam-6626	106	13	)	)	PUNCT
ejpam-6626	106	14	,	,	PUNCT
ejpam-6626	106	15	6626	6626	NUM
ejpam-6626	106	16	6	6	NUM
ejpam-6626	106	17	of	of	ADP
ejpam-6626	106	18	24	24	NUM
ejpam-6626	106	19	now	now	ADV
ejpam-6626	106	20	,	,	PUNCT
ejpam-6626	106	21	using	use	VERB
ejpam-6626	106	22	i.c	i.c	PROPN
ejpam-6626	106	23	given	give	VERB
ejpam-6626	106	24	in	in	ADP
ejpam-6626	106	25	eqs	eqs	PROPN
ejpam-6626	106	26	.	.	PUNCT
ejpam-6626	106	27	(	(	PUNCT
ejpam-6626	106	28	3.2	3.2	NUM
ejpam-6626	106	29	)	)	PUNCT
ejpam-6626	106	30	,	,	PUNCT
ejpam-6626	106	31	yields	yield	VERB
ejpam-6626	106	32	a	a	DET
ejpam-6626	106	33	[	[	X
ejpam-6626	106	34	g(t	g(t	PROPN
ejpam-6626	106	35	,	,	PUNCT
ejpam-6626	106	36	x	x	NOUN
ejpam-6626	106	37	)	)	PUNCT
ejpam-6626	106	38	]	]	PUNCT
ejpam-6626	107	1	=	=	SYM
ejpam-6626	107	2	1	1	NUM
ejpam-6626	107	3	s2	s2	NOUN
ejpam-6626	107	4	v(x)−	v(x)−	PROPN
ejpam-6626	107	5	s−γa	s−γa	PROPN
ejpam-6626	107	6	[	[	PUNCT
ejpam-6626	107	7	g	g	PROPN
ejpam-6626	107	8	∂βg	∂βg	PROPN
ejpam-6626	107	9	∂xβ	∂xβ	NOUN
ejpam-6626	107	10	+	+	CCONJ
ejpam-6626	107	11	∂βh	∂βh	PROPN
ejpam-6626	107	12	∂xβ	∂xβ	PROPN
ejpam-6626	107	13	+	+	CCONJ
ejpam-6626	107	14	d1	d1	PROPN
ejpam-6626	107	15	∂2βg	∂2βg	ADJ
ejpam-6626	107	16	∂x2β	∂x2β	PROPN
ejpam-6626	107	17	]	]	PUNCT
ejpam-6626	107	18	,	,	PUNCT
ejpam-6626	107	19	a	a	PRON
ejpam-6626	107	20	[	[	X
ejpam-6626	107	21	h(t	h(t	PROPN
ejpam-6626	107	22	,	,	PUNCT
ejpam-6626	107	23	x	x	NOUN
ejpam-6626	107	24	)	)	PUNCT
ejpam-6626	107	25	]	]	PUNCT
ejpam-6626	107	26	=	=	SYM
ejpam-6626	107	27	1	1	NUM
ejpam-6626	107	28	s2	s2	PROPN
ejpam-6626	107	29	w(x)−	w(x)−	PROPN
ejpam-6626	107	30	s−γa	s−γa	PROPN
ejpam-6626	107	31	[	[	PUNCT
ejpam-6626	107	32	g	g	PROPN
ejpam-6626	107	33	∂βh	∂βh	PROPN
ejpam-6626	107	34	∂xβ	∂xβ	PROPN
ejpam-6626	107	35	+	+	CCONJ
ejpam-6626	107	36	h	h	NOUN
ejpam-6626	107	37	∂βg	∂βg	PROPN
ejpam-6626	107	38	∂xβ	∂xβ	NOUN
ejpam-6626	107	39	+	+	CCONJ
ejpam-6626	107	40	d2	d2	NOUN
ejpam-6626	107	41	∂3βg	∂3βg	NOUN
ejpam-6626	107	42	∂x3β	∂x3β	ADP
ejpam-6626	107	43	−	−	PROPN
ejpam-6626	107	44	d1	d1	PROPN
ejpam-6626	107	45	∂2βg	∂2βg	NOUN
ejpam-6626	107	46	∂x2β	∂x2β	PROPN
ejpam-6626	107	47	]	]	PUNCT
ejpam-6626	107	48	.	.	PUNCT
ejpam-6626	108	1	(	(	PUNCT
ejpam-6626	108	2	3.5	3.5	NUM
ejpam-6626	108	3	)	)	PUNCT
ejpam-6626	108	4	step	step	NOUN
ejpam-6626	108	5	2	2	NUM
ejpam-6626	108	6	:	:	PUNCT
ejpam-6626	108	7	applying	apply	VERB
ejpam-6626	108	8	the	the	DET
ejpam-6626	108	9	inverse	inverse	NOUN
ejpam-6626	108	10	aboodh	aboodh	NOUN
ejpam-6626	108	11	transformation	transformation	PROPN
ejpam-6626	108	12	a−1	a−1	PROPN
ejpam-6626	108	13	to	to	ADP
ejpam-6626	108	14	eqs	eqs	PROPN
ejpam-6626	108	15	.	.	PUNCT
ejpam-6626	109	1	(	(	PUNCT
ejpam-6626	109	2	3.5	3.5	NUM
ejpam-6626	109	3	)	)	PUNCT
ejpam-6626	109	4	,	,	PUNCT
ejpam-6626	109	5	we	we	PRON
ejpam-6626	109	6	obtain	obtain	VERB
ejpam-6626	109	7	g(t	g(t	PROPN
ejpam-6626	109	8	,	,	PUNCT
ejpam-6626	109	9	x	x	X
ejpam-6626	109	10	)	)	PUNCT
ejpam-6626	109	11	=	=	SYM
ejpam-6626	109	12	v(x)−a−1	v(x)−a−1	NOUN
ejpam-6626	109	13	[	[	PUNCT
ejpam-6626	109	14	s−γa	s−γa	NOUN
ejpam-6626	109	15	[	[	PUNCT
ejpam-6626	109	16	g	g	PROPN
ejpam-6626	109	17	∂βg	∂βg	PROPN
ejpam-6626	109	18	∂xβ	∂xβ	NOUN
ejpam-6626	109	19	+	+	CCONJ
ejpam-6626	109	20	∂βh	∂βh	PROPN
ejpam-6626	109	21	∂xβ	∂xβ	PROPN
ejpam-6626	109	22	+	+	CCONJ
ejpam-6626	109	23	d1	d1	PROPN
ejpam-6626	109	24	∂2βg	∂2βg	NOUN
ejpam-6626	109	25	∂x2β	∂x2β	PROPN
ejpam-6626	109	26	]	]	X
ejpam-6626	109	27	]	]	X
ejpam-6626	109	28	,	,	PUNCT
ejpam-6626	109	29	h(t	h(t	PROPN
ejpam-6626	109	30	,	,	PUNCT
ejpam-6626	109	31	x	x	NOUN
ejpam-6626	109	32	)	)	PUNCT
ejpam-6626	109	33	=	=	SYM
ejpam-6626	109	34	w(x)−a−1	w(x)−a−1	X
ejpam-6626	109	35	[	[	PUNCT
ejpam-6626	109	36	s−γa	s−γa	PROPN
ejpam-6626	109	37	[	[	PUNCT
ejpam-6626	109	38	g	g	PROPN
ejpam-6626	109	39	∂βh	∂βh	PROPN
ejpam-6626	109	40	∂xβ	∂xβ	PROPN
ejpam-6626	109	41	+	+	CCONJ
ejpam-6626	109	42	h	h	NOUN
ejpam-6626	109	43	∂βg	∂βg	PROPN
ejpam-6626	109	44	∂xβ	∂xβ	NOUN
ejpam-6626	109	45	+	+	CCONJ
ejpam-6626	109	46	d2	d2	NOUN
ejpam-6626	109	47	∂3βg	∂3βg	NOUN
ejpam-6626	109	48	∂x3β	∂x3β	ADP
ejpam-6626	109	49	−	−	PROPN
ejpam-6626	109	50	d1	d1	PROPN
ejpam-6626	109	51	∂2βg	∂2βg	NOUN
ejpam-6626	109	52	∂x2β	∂x2β	PROPN
ejpam-6626	109	53	]	]	X
ejpam-6626	109	54	]	]	X
ejpam-6626	109	55	,	,	PUNCT
ejpam-6626	109	56	(	(	PUNCT
ejpam-6626	109	57	3.6	3.6	NUM
ejpam-6626	109	58	)	)	PUNCT
ejpam-6626	109	59	where	where	SCONJ
ejpam-6626	109	60	,	,	PUNCT
ejpam-6626	109	61	the	the	DET
ejpam-6626	109	62	nonlinear	nonlinear	ADJ
ejpam-6626	109	63	terms	term	NOUN
ejpam-6626	109	64	can	can	AUX
ejpam-6626	109	65	be	be	AUX
ejpam-6626	109	66	decomposed	decompose	VERB
ejpam-6626	109	67	as	as	SCONJ
ejpam-6626	109	68	follows	follow	VERB
ejpam-6626	109	69	:	:	PUNCT
ejpam-6626	109	70	g	g	PROPN
ejpam-6626	109	71	∂βg	∂βg	PROPN
ejpam-6626	109	72	∂xβ	∂xβ	NOUN
ejpam-6626	109	73	=	=	PROPN
ejpam-6626	109	74	∞∑	∞∑	NUM
ejpam-6626	109	75	j=0	j=0	ADJ
ejpam-6626	110	1	lj	lj	INTJ
ejpam-6626	110	2	,	,	PUNCT
ejpam-6626	110	3	g	g	PROPN
ejpam-6626	110	4	∂βh	∂βh	PROPN
ejpam-6626	110	5	∂xβ	∂xβ	PROPN
ejpam-6626	110	6	=	=	PROPN
ejpam-6626	111	1	∞∑	∞∑	NUM
ejpam-6626	111	2	j=0	j=0	PRON
ejpam-6626	111	3	bj	bj	VERB
ejpam-6626	111	4	,	,	PUNCT
ejpam-6626	111	5	h	h	NOUN
ejpam-6626	111	6	∂βg	∂βg	PROPN
ejpam-6626	111	7	∂xβ	∂xβ	NOUN
ejpam-6626	111	8	=	=	PROPN
ejpam-6626	111	9	∞∑	∞∑	PROPN
ejpam-6626	111	10	j=0	j=0	PROPN
ejpam-6626	111	11	cj	cj	NOUN
ejpam-6626	111	12	,	,	PUNCT
ejpam-6626	111	13	(	(	PUNCT
ejpam-6626	111	14	3.7	3.7	NUM
ejpam-6626	111	15	)	)	PUNCT
ejpam-6626	111	16	where	where	SCONJ
ejpam-6626	111	17	,	,	PUNCT
ejpam-6626	111	18	lj	lj	INTJ
ejpam-6626	111	19	,	,	PUNCT
ejpam-6626	111	20	bj	bj	VERB
ejpam-6626	111	21	,	,	PUNCT
ejpam-6626	111	22	cj	cj	NOUN
ejpam-6626	111	23	are	be	AUX
ejpam-6626	111	24	adomian	adomian	NOUN
ejpam-6626	111	25	polynomials	polynomial	NOUN
ejpam-6626	111	26	.	.	PUNCT
ejpam-6626	112	1	step	step	NOUN
ejpam-6626	112	2	3	3	NUM
ejpam-6626	112	3	:	:	PUNCT
ejpam-6626	112	4	substituting	substitute	VERB
ejpam-6626	112	5	eqs	eqs	PROPN
ejpam-6626	112	6	.	.	PUNCT
ejpam-6626	113	1	(	(	PUNCT
ejpam-6626	113	2	3.6	3.6	NUM
ejpam-6626	113	3	)	)	PUNCT
ejpam-6626	113	4	and	and	CCONJ
ejpam-6626	113	5	(	(	PUNCT
ejpam-6626	113	6	3.7	3.7	NUM
ejpam-6626	113	7	)	)	PUNCT
ejpam-6626	113	8	into	into	ADP
ejpam-6626	113	9	eq	eq	NOUN
ejpam-6626	113	10	.	.	PUNCT
ejpam-6626	114	1	(	(	PUNCT
ejpam-6626	114	2	3.5	3.5	NUM
ejpam-6626	114	3	)	)	PUNCT
ejpam-6626	114	4	,	,	PUNCT
ejpam-6626	114	5	produces	produce	VERB
ejpam-6626	114	6	:	:	PUNCT
ejpam-6626	114	7	∞∑	∞∑	NUM
ejpam-6626	114	8	j=0	j=0	PROPN
ejpam-6626	114	9	gj(t	gj(t	PROPN
ejpam-6626	114	10	,	,	PUNCT
ejpam-6626	114	11	x	x	X
ejpam-6626	114	12	)	)	PUNCT
ejpam-6626	114	13	=	=	SYM
ejpam-6626	114	14	v(x)−a−1	v(x)−a−1	NOUN
ejpam-6626	114	15	s−γa	s−γa	PUNCT
ejpam-6626	114	16			VERB
ejpam-6626	114	17	∞∑	∞∑	NUM
ejpam-6626	114	18	j=0	j=0	ADJ
ejpam-6626	114	19	lj	lj	PROPN
ejpam-6626	115	1	+	+	CCONJ
ejpam-6626	116	1	∂βh	∂βh	PROPN
ejpam-6626	116	2	∂xβ	∂xβ	NOUN
ejpam-6626	116	3	+	+	CCONJ
ejpam-6626	116	4	d1	d1	PROPN
ejpam-6626	116	5	∂2βg	∂2βg	NOUN
ejpam-6626	116	6	∂x2β	∂x2β	PROPN
ejpam-6626	116	7			PROPN
ejpam-6626	116	8	,	,	PUNCT
ejpam-6626	116	9	∞∑	∞∑	PROPN
ejpam-6626	116	10	j=0	j=0	PROPN
ejpam-6626	116	11	hj(t	hj(t	PROPN
ejpam-6626	116	12	,	,	PUNCT
ejpam-6626	116	13	x	x	X
ejpam-6626	116	14	)	)	PUNCT
ejpam-6626	116	15	=	=	PUNCT
ejpam-6626	116	16	w(x)−a−1	w(x)−a−1	X
ejpam-6626	116	17	s−γa	s−γa	X
ejpam-6626	116	18			VERB
ejpam-6626	116	19	∞∑	∞∑	NUM
ejpam-6626	116	20	j=0	j=0	PROPN
ejpam-6626	116	21	bj	bj	ADP
ejpam-6626	116	22	+	+	NOUN
ejpam-6626	117	1	∞∑	∞∑	NUM
ejpam-6626	117	2	j=0	j=0	PROPN
ejpam-6626	117	3	cj	cj	PROPN
ejpam-6626	117	4	+	+	CCONJ
ejpam-6626	117	5	d2	d2	PROPN
ejpam-6626	117	6	∂3βg	∂3βg	X
ejpam-6626	117	7	∂x3β	∂x3β	ADP
ejpam-6626	117	8	−	−	PROPN
ejpam-6626	117	9	d1	d1	PROPN
ejpam-6626	117	10	∂2βg	∂2βg	NOUN
ejpam-6626	117	11	∂x2β	∂x2β	NOUN
ejpam-6626	117	12			PROPN
ejpam-6626	117	13	.	.	PUNCT
ejpam-6626	118	1	(	(	PUNCT
ejpam-6626	118	2	3.8	3.8	NUM
ejpam-6626	118	3	)	)	PUNCT
ejpam-6626	118	4	consequently	consequently	ADV
ejpam-6626	118	5	,	,	PUNCT
ejpam-6626	118	6	the	the	DET
ejpam-6626	118	7	recurrence	recurrence	NOUN
ejpam-6626	118	8	relations	relation	NOUN
ejpam-6626	118	9	shown	show	VERB
ejpam-6626	118	10	below	below	ADP
ejpam-6626	118	11	are	be	AUX
ejpam-6626	118	12	found	find	VERB
ejpam-6626	118	13	:	:	PUNCT
ejpam-6626	118	14	{	{	PUNCT
ejpam-6626	118	15	g0(t	g0(t	NOUN
ejpam-6626	118	16	,	,	PUNCT
ejpam-6626	118	17	x	x	X
ejpam-6626	118	18	)	)	PUNCT
ejpam-6626	118	19	=	=	SYM
ejpam-6626	118	20	v(x	v(x	PROPN
ejpam-6626	118	21	)	)	PUNCT
ejpam-6626	118	22	,	,	PUNCT
ejpam-6626	118	23	h0(t	h0(t	PROPN
ejpam-6626	118	24	,	,	PUNCT
ejpam-6626	118	25	x	x	NOUN
ejpam-6626	118	26	)	)	PUNCT
ejpam-6626	118	27	=	=	SYM
ejpam-6626	118	28	w(x	w(x	NOUN
ejpam-6626	118	29	)	)	PUNCT
ejpam-6626	118	30	,	,	PUNCT
ejpam-6626	118	31	(	(	PUNCT
ejpam-6626	118	32	3.9	3.9	NUM
ejpam-6626	118	33	)	)	PUNCT
ejpam-6626	119	1			PROPN
ejpam-6626	119	2	g1(t	g1(t	NOUN
ejpam-6626	119	3	,	,	PUNCT
ejpam-6626	119	4	x	x	NOUN
ejpam-6626	119	5	)	)	PUNCT
ejpam-6626	119	6	=	=	SYM
ejpam-6626	119	7	−a−1	−a−1	NUM
ejpam-6626	119	8	[	[	PUNCT
ejpam-6626	119	9	s−γa	s−γa	NOUN
ejpam-6626	119	10	[	[	PUNCT
ejpam-6626	119	11	l0	l0	NOUN
ejpam-6626	119	12	+	+	CCONJ
ejpam-6626	119	13	∂βh0	∂βh0	ADV
ejpam-6626	119	14	∂xβ	∂xβ	NOUN
ejpam-6626	119	15	+	+	CCONJ
ejpam-6626	119	16	d1	d1	NOUN
ejpam-6626	119	17	∂2βg0	∂2βg0	PUNCT
ejpam-6626	119	18	∂x2β	∂x2β	PROPN
ejpam-6626	119	19	]	]	X
ejpam-6626	119	20	]	]	PUNCT
ejpam-6626	119	21	,	,	PUNCT
ejpam-6626	119	22	h1(t	h1(t	PROPN
ejpam-6626	119	23	,	,	PUNCT
ejpam-6626	119	24	x	x	NOUN
ejpam-6626	119	25	)	)	PUNCT
ejpam-6626	119	26	=	=	SYM
ejpam-6626	119	27	−a−1	−a−1	NUM
ejpam-6626	119	28	[	[	PUNCT
ejpam-6626	119	29	s−γa	s−γa	NOUN
ejpam-6626	119	30	[	[	PUNCT
ejpam-6626	119	31	b0	b0	NOUN
ejpam-6626	119	32	+	+	CCONJ
ejpam-6626	119	33	c0	c0	PROPN
ejpam-6626	119	34	+	+	CCONJ
ejpam-6626	119	35	d2	d2	PROPN
ejpam-6626	119	36	∂3βg0	∂3βg0	NOUN
ejpam-6626	119	37	∂x3β	∂x3β	ADP
ejpam-6626	119	38	−	−	PROPN
ejpam-6626	119	39	d1	d1	PROPN
ejpam-6626	119	40	∂2βg0	∂2βg0	PUNCT
ejpam-6626	119	41	∂x2β	∂x2β	PROPN
ejpam-6626	119	42	]	]	X
ejpam-6626	119	43	]	]	X
ejpam-6626	119	44	,	,	PUNCT
ejpam-6626	119	45	(	(	PUNCT
ejpam-6626	119	46	3.10	3.10	NUM
ejpam-6626	119	47	)	)	PUNCT
ejpam-6626	119	48			PROPN
ejpam-6626	119	49	g2(t	g2(t	PROPN
ejpam-6626	119	50	,	,	PUNCT
ejpam-6626	119	51	x	x	NOUN
ejpam-6626	119	52	)	)	PUNCT
ejpam-6626	119	53	=	=	SYM
ejpam-6626	119	54	−a−1	−a−1	NUM
ejpam-6626	119	55	[	[	PUNCT
ejpam-6626	119	56	s−γa	s−γa	PROPN
ejpam-6626	119	57	[	[	PUNCT
ejpam-6626	119	58	l1	l1	PROPN
ejpam-6626	119	59	+	+	CCONJ
ejpam-6626	119	60	∂βh1	∂βh1	PROPN
ejpam-6626	119	61	∂xβ	∂xβ	PROPN
ejpam-6626	119	62	+	+	CCONJ
ejpam-6626	119	63	d1	d1	PROPN
ejpam-6626	119	64	∂2βg1	∂2βg1	ADJ
ejpam-6626	119	65	∂x2β	∂x2β	PROPN
ejpam-6626	119	66	]	]	X
ejpam-6626	119	67	]	]	PUNCT
ejpam-6626	119	68	,	,	PUNCT
ejpam-6626	119	69	h2(t	h2(t	PROPN
ejpam-6626	119	70	,	,	PUNCT
ejpam-6626	119	71	x	x	NOUN
ejpam-6626	119	72	)	)	PUNCT
ejpam-6626	119	73	=	=	SYM
ejpam-6626	119	74	−a−1	−a−1	NUM
ejpam-6626	119	75	[	[	PUNCT
ejpam-6626	119	76	s−γa	s−γa	PROPN
ejpam-6626	119	77	[	[	PUNCT
ejpam-6626	119	78	b1	b1	NOUN
ejpam-6626	119	79	+	+	CCONJ
ejpam-6626	119	80	c1	c1	PROPN
ejpam-6626	119	81	+	+	CCONJ
ejpam-6626	119	82	d2	d2	PROPN
ejpam-6626	119	83	∂3βg1	∂3βg1	ADP
ejpam-6626	119	84	∂x3β	∂x3β	ADP
ejpam-6626	119	85	−	−	PROPN
ejpam-6626	119	86	d1	d1	PROPN
ejpam-6626	119	87	∂2βg1	∂2βg1	PROPN
ejpam-6626	119	88	∂x2β	∂x2β	PROPN
ejpam-6626	119	89	]	]	X
ejpam-6626	119	90	]	]	X
ejpam-6626	119	91	,	,	PUNCT
ejpam-6626	119	92	(	(	PUNCT
ejpam-6626	119	93	3.11	3.11	NUM
ejpam-6626	119	94	)	)	PUNCT
ejpam-6626	119	95	i.	i.	PROPN
ejpam-6626	119	96	kadri	kadri	PROPN
ejpam-6626	119	97	et	et	PROPN
ejpam-6626	119	98	al	al	PROPN
ejpam-6626	119	99	.	.	PUNCT
ejpam-6626	119	100	/	/	SYM
ejpam-6626	119	101	eur	eur	PROPN
ejpam-6626	119	102	.	.	PUNCT
ejpam-6626	120	1	j.	j.	PROPN
ejpam-6626	120	2	pure	pure	PROPN
ejpam-6626	120	3	appl	appl	PROPN
ejpam-6626	120	4	.	.	PROPN
ejpam-6626	120	5	math	math	PROPN
ejpam-6626	120	6	,	,	PUNCT
ejpam-6626	120	7	18	18	NUM
ejpam-6626	120	8	(	(	PUNCT
ejpam-6626	120	9	3	3	NUM
ejpam-6626	120	10	)	)	PUNCT
ejpam-6626	120	11	(	(	PUNCT
ejpam-6626	120	12	2025	2025	NUM
ejpam-6626	120	13	)	)	PUNCT
ejpam-6626	120	14	,	,	PUNCT
ejpam-6626	120	15	6626	6626	NUM
ejpam-6626	120	16	7	7	NUM
ejpam-6626	120	17	of	of	ADP
ejpam-6626	120	18	24	24	NUM
ejpam-6626	120	19	g3(t	g3(t	NUM
ejpam-6626	120	20	,	,	PUNCT
ejpam-6626	120	21	x	x	X
ejpam-6626	120	22	)	)	PUNCT
ejpam-6626	120	23	=	=	SYM
ejpam-6626	120	24	−a−1	−a−1	NUM
ejpam-6626	120	25	[	[	PUNCT
ejpam-6626	120	26	s−γa	s−γa	NOUN
ejpam-6626	120	27	[	[	PUNCT
ejpam-6626	120	28	l2	l2	NOUN
ejpam-6626	120	29	+	+	CCONJ
ejpam-6626	120	30	∂βh2	∂βh2	NUM
ejpam-6626	120	31	∂xβ	∂xβ	NOUN
ejpam-6626	120	32	+	+	CCONJ
ejpam-6626	120	33	d1	d1	PROPN
ejpam-6626	120	34	∂2βg2	∂2βg2	PROPN
ejpam-6626	120	35	∂x2β	∂x2β	PROPN
ejpam-6626	120	36	]	]	X
ejpam-6626	120	37	]	]	X
ejpam-6626	120	38	,	,	PUNCT
ejpam-6626	120	39	h3(t	h3(t	X
ejpam-6626	120	40	,	,	PUNCT
ejpam-6626	120	41	x	x	X
ejpam-6626	120	42	)	)	PUNCT
ejpam-6626	120	43	=	=	SYM
ejpam-6626	120	44	−a−1	−a−1	NUM
ejpam-6626	120	45	[	[	PUNCT
ejpam-6626	120	46	s−γa	s−γa	PROPN
ejpam-6626	120	47	[	[	PUNCT
ejpam-6626	120	48	b2	b2	NOUN
ejpam-6626	120	49	+	+	CCONJ
ejpam-6626	120	50	c2	c2	PROPN
ejpam-6626	120	51	+	+	CCONJ
ejpam-6626	120	52	d2	d2	PROPN
ejpam-6626	120	53	∂3βg2	∂3βg2	PROPN
ejpam-6626	120	54	∂x3β	∂x3β	ADP
ejpam-6626	120	55	−	−	NOUN
ejpam-6626	120	56	d1	d1	PROPN
ejpam-6626	120	57	∂2βg2	∂2βg2	PROPN
ejpam-6626	120	58	∂x2β	∂x2β	NOUN
ejpam-6626	120	59	]	]	X
ejpam-6626	120	60	]	]	X
ejpam-6626	120	61	,	,	PUNCT
ejpam-6626	120	62	(	(	PUNCT
ejpam-6626	120	63	3.12	3.12	NUM
ejpam-6626	120	64	)	)	PUNCT
ejpam-6626	120	65	and	and	CCONJ
ejpam-6626	120	66	so	so	ADV
ejpam-6626	120	67	on	on	ADV
ejpam-6626	120	68	.	.	PUNCT
ejpam-6626	121	1	therefore	therefore	ADV
ejpam-6626	121	2	,	,	PUNCT
ejpam-6626	121	3	the	the	DET
ejpam-6626	121	4	series	series	NOUN
ejpam-6626	121	5	solution	solution	NOUN
ejpam-6626	121	6	of	of	ADP
ejpam-6626	121	7	eqs	eqs	PROPN
ejpam-6626	121	8	.	.	PUNCT
ejpam-6626	122	1	(	(	PUNCT
ejpam-6626	122	2	(	(	PUNCT
ejpam-6626	122	3	3.1)-(3.2	3.1)-(3.2	NUM
ejpam-6626	122	4	)	)	PUNCT
ejpam-6626	122	5	)	)	PUNCT
ejpam-6626	122	6	is	be	AUX
ejpam-6626	122	7	expressed	express	VERB
ejpam-6626	122	8	as	as	ADP
ejpam-6626	122	9	:	:	PUNCT
ejpam-6626	122	10	g(t	g(t	PROPN
ejpam-6626	122	11	,	,	PUNCT
ejpam-6626	122	12	x	x	X
ejpam-6626	122	13	)	)	PUNCT
ejpam-6626	122	14	=	=	SYM
ejpam-6626	123	1	∞∑	∞∑	NUM
ejpam-6626	123	2	j=0	j=0	PROPN
ejpam-6626	123	3	gj(t	gj(t	PROPN
ejpam-6626	123	4	,	,	PUNCT
ejpam-6626	123	5	x	x	X
ejpam-6626	123	6	)	)	PUNCT
ejpam-6626	123	7	=	=	SYM
ejpam-6626	123	8	g0(t	g0(t	PROPN
ejpam-6626	123	9	,	,	PUNCT
ejpam-6626	123	10	x	x	X
ejpam-6626	123	11	)	)	PUNCT
ejpam-6626	123	12	+	+	CCONJ
ejpam-6626	123	13	g1(t	g1(t	PROPN
ejpam-6626	123	14	,	,	PUNCT
ejpam-6626	123	15	x	x	NOUN
ejpam-6626	123	16	)	)	PUNCT
ejpam-6626	123	17	+	+	CCONJ
ejpam-6626	124	1	g2(t	g2(t	PROPN
ejpam-6626	124	2	,	,	PUNCT
ejpam-6626	124	3	x	x	NOUN
ejpam-6626	124	4	)	)	PUNCT
ejpam-6626	125	1	+	+	CCONJ
ejpam-6626	125	2	g3(t	g3(t	NUM
ejpam-6626	125	3	,	,	PUNCT
ejpam-6626	125	4	x	x	PRON
ejpam-6626	125	5	)	)	PUNCT
ejpam-6626	125	6	+	+	CCONJ
ejpam-6626	125	7	...	...	PUNCT
ejpam-6626	125	8	,	,	PUNCT
ejpam-6626	125	9	h(t	h(t	PROPN
ejpam-6626	125	10	,	,	PUNCT
ejpam-6626	125	11	x	x	X
ejpam-6626	125	12	)	)	PUNCT
ejpam-6626	125	13	=	=	SYM
ejpam-6626	126	1	∞∑	∞∑	NUM
ejpam-6626	126	2	j=0	j=0	PROPN
ejpam-6626	126	3	hj(t	hj(t	PROPN
ejpam-6626	126	4	,	,	PUNCT
ejpam-6626	126	5	x	x	X
ejpam-6626	126	6	)	)	PUNCT
ejpam-6626	126	7	=	=	SYM
ejpam-6626	126	8	h0(t	h0(t	PROPN
ejpam-6626	126	9	,	,	PUNCT
ejpam-6626	126	10	x	x	NOUN
ejpam-6626	126	11	)	)	PUNCT
ejpam-6626	126	12	+	+	CCONJ
ejpam-6626	126	13	h1(t	h1(t	ADV
ejpam-6626	126	14	,	,	PUNCT
ejpam-6626	126	15	x	x	NOUN
ejpam-6626	126	16	)	)	PUNCT
ejpam-6626	126	17	+	+	CCONJ
ejpam-6626	126	18	h2(t	h2(t	PROPN
ejpam-6626	126	19	,	,	PUNCT
ejpam-6626	126	20	x	x	PRON
ejpam-6626	126	21	)	)	PUNCT
ejpam-6626	126	22	+	+	CCONJ
ejpam-6626	126	23	h3(t	h3(t	PROPN
ejpam-6626	126	24	,	,	PUNCT
ejpam-6626	126	25	x	x	PRON
ejpam-6626	126	26	)	)	PUNCT
ejpam-6626	126	27	+	+	CCONJ
ejpam-6626	126	28	....	....	PUNCT
ejpam-6626	126	29	(	(	PUNCT
ejpam-6626	126	30	3.13	3.13	NUM
ejpam-6626	126	31	)	)	PUNCT
ejpam-6626	126	32	3.2	3.2	NUM
ejpam-6626	126	33	.	.	PUNCT
ejpam-6626	127	1	aboodh	aboodh	PROPN
ejpam-6626	127	2	decomposition	decomposition	NOUN
ejpam-6626	127	3	transform	transform	NOUN
ejpam-6626	127	4	under	under	ADP
ejpam-6626	127	5	atangana	atangana	PROPN
ejpam-6626	127	6	-	-	PUNCT
ejpam-6626	127	7	baleanu	baleanu	PROPN
ejpam-6626	127	8	-	-	PUNCT
ejpam-6626	127	9	caputo	caputo	NOUN
ejpam-6626	127	10	operator	operator	NOUN
ejpam-6626	127	11	.	.	PUNCT
ejpam-6626	128	1	employing	employ	VERB
ejpam-6626	128	2	the	the	DET
ejpam-6626	128	3	aboodh	aboodh	ADJ
ejpam-6626	128	4	transform	transform	NOUN
ejpam-6626	128	5	in	in	ADP
ejpam-6626	128	6	the	the	DET
ejpam-6626	128	7	atangana	atangana	PROPN
ejpam-6626	128	8	-	-	PUNCT
ejpam-6626	128	9	baleanu	baleanu	PROPN
ejpam-6626	128	10	-	-	PUNCT
ejpam-6626	128	11	caputo	caputo	NOUN
ejpam-6626	128	12	sense	sense	NOUN
ejpam-6626	128	13	given	give	VERB
ejpam-6626	128	14	by	by	ADP
ejpam-6626	128	15	eq	eq	PROPN
ejpam-6626	128	16	.	.	PUNCT
ejpam-6626	129	1	(	(	PUNCT
ejpam-6626	129	2	2.6	2.6	NUM
ejpam-6626	129	3	)	)	PUNCT
ejpam-6626	129	4	on	on	ADP
ejpam-6626	129	5	eqs	eqs	PROPN
ejpam-6626	129	6	.	.	PUNCT
ejpam-6626	130	1	(	(	PUNCT
ejpam-6626	130	2	3.2	3.2	NUM
ejpam-6626	130	3	)	)	PUNCT
ejpam-6626	130	4	,	,	PUNCT
ejpam-6626	130	5	we	we	PRON
ejpam-6626	130	6	get	get	VERB
ejpam-6626	130	7	:	:	PUNCT
ejpam-6626	130	8	m(γ	m(γ	NOUN
ejpam-6626	130	9	)	)	PUNCT
ejpam-6626	130	10	1−	1−	NUM
ejpam-6626	130	11	γ	γ	X
ejpam-6626	130	12	+	+	X
ejpam-6626	130	13	γs−γ	γs−γ	ADV
ejpam-6626	131	1	a	a	PRON
ejpam-6626	132	1	[	[	X
ejpam-6626	132	2	g(t	g(t	PROPN
ejpam-6626	132	3	,	,	PUNCT
ejpam-6626	132	4	x	x	NOUN
ejpam-6626	132	5	)	)	PUNCT
ejpam-6626	132	6	]	]	PUNCT
ejpam-6626	133	1	=	=	SYM
ejpam-6626	133	2	1	1	NUM
ejpam-6626	133	3	s2	s2	NOUN
ejpam-6626	133	4	g(0	g(0	PROPN
ejpam-6626	133	5	,	,	PUNCT
ejpam-6626	133	6	x)−a	x)−a	PROPN
ejpam-6626	134	1	[	[	PUNCT
ejpam-6626	134	2	g	g	PROPN
ejpam-6626	134	3	∂βg	∂βg	PROPN
ejpam-6626	134	4	∂xβ	∂xβ	NOUN
ejpam-6626	134	5	+	+	CCONJ
ejpam-6626	134	6	∂βh	∂βh	PROPN
ejpam-6626	134	7	∂xβ	∂xβ	PROPN
ejpam-6626	134	8	+	+	CCONJ
ejpam-6626	134	9	d1	d1	PROPN
ejpam-6626	134	10	∂2βg	∂2βg	ADJ
ejpam-6626	134	11	∂x2β	∂x2β	PROPN
ejpam-6626	134	12	]	]	PUNCT
ejpam-6626	134	13	,	,	PUNCT
ejpam-6626	134	14	m(γ	m(γ	NOUN
ejpam-6626	134	15	)	)	PUNCT
ejpam-6626	134	16	1−	1−	NUM
ejpam-6626	134	17	γ	γ	X
ejpam-6626	134	18	+	+	PROPN
ejpam-6626	134	19	γs−γ	γs−γ	ADV
ejpam-6626	134	20	a	a	PRON
ejpam-6626	134	21	[	[	X
ejpam-6626	134	22	h(t	h(t	PROPN
ejpam-6626	134	23	,	,	PUNCT
ejpam-6626	134	24	x	x	NOUN
ejpam-6626	134	25	)	)	PUNCT
ejpam-6626	134	26	]	]	PUNCT
ejpam-6626	134	27	=	=	SYM
ejpam-6626	134	28	1	1	NUM
ejpam-6626	134	29	s2	s2	NOUN
ejpam-6626	134	30	h(0	h(0	PROPN
ejpam-6626	134	31	,	,	PUNCT
ejpam-6626	134	32	x)−a	x)−a	PROPN
ejpam-6626	134	33	[	[	PUNCT
ejpam-6626	134	34	g	g	PROPN
ejpam-6626	134	35	∂βh	∂βh	PROPN
ejpam-6626	134	36	∂xβ	∂xβ	PROPN
ejpam-6626	134	37	+	+	CCONJ
ejpam-6626	134	38	h	h	NOUN
ejpam-6626	134	39	∂βg	∂βg	PROPN
ejpam-6626	134	40	∂xβ	∂xβ	NOUN
ejpam-6626	134	41	+	+	CCONJ
ejpam-6626	134	42	d2	d2	NOUN
ejpam-6626	134	43	∂3βg	∂3βg	NOUN
ejpam-6626	134	44	∂x3β	∂x3β	ADP
ejpam-6626	134	45	−	−	PROPN
ejpam-6626	134	46	d1	d1	PROPN
ejpam-6626	134	47	∂2βg	∂2βg	NOUN
ejpam-6626	134	48	∂x2β	∂x2β	PROPN
ejpam-6626	134	49	]	]	PUNCT
ejpam-6626	134	50	.	.	PUNCT
ejpam-6626	135	1	(	(	PUNCT
ejpam-6626	135	2	3.14	3.14	NUM
ejpam-6626	135	3	)	)	PUNCT
ejpam-6626	135	4	therefore	therefore	ADV
ejpam-6626	135	5	,	,	PUNCT
ejpam-6626	135	6	a	a	DET
ejpam-6626	135	7	[	[	X
ejpam-6626	135	8	g(t	g(t	PROPN
ejpam-6626	135	9	,	,	PUNCT
ejpam-6626	135	10	x	x	NOUN
ejpam-6626	135	11	)	)	PUNCT
ejpam-6626	135	12	]	]	PUNCT
ejpam-6626	135	13	=	=	SYM
ejpam-6626	135	14	1	1	NUM
ejpam-6626	135	15	s2	s2	NOUN
ejpam-6626	135	16	g(0	g(0	PROPN
ejpam-6626	135	17	,	,	PUNCT
ejpam-6626	135	18	x)−	x)−	PROPN
ejpam-6626	135	19	1−	1−	NUM
ejpam-6626	135	20	γ	γ	PROPN
ejpam-6626	135	21	+	+	X
ejpam-6626	135	22	γs−γ	γs−γ	PROPN
ejpam-6626	135	23	m(γ	m(γ	NOUN
ejpam-6626	135	24	)	)	PUNCT
ejpam-6626	135	25	a	a	DET
ejpam-6626	135	26	[	[	PUNCT
ejpam-6626	135	27	g	g	PROPN
ejpam-6626	135	28	∂βg	∂βg	PROPN
ejpam-6626	135	29	∂xβ	∂xβ	NOUN
ejpam-6626	135	30	+	+	CCONJ
ejpam-6626	135	31	∂βh	∂βh	PROPN
ejpam-6626	135	32	∂xβ	∂xβ	PROPN
ejpam-6626	135	33	+	+	CCONJ
ejpam-6626	135	34	d1	d1	PROPN
ejpam-6626	135	35	∂2βg	∂2βg	ADJ
ejpam-6626	135	36	∂x2β	∂x2β	PROPN
ejpam-6626	135	37	]	]	PUNCT
ejpam-6626	135	38	,	,	PUNCT
ejpam-6626	135	39	a	a	PRON
ejpam-6626	135	40	[	[	X
ejpam-6626	135	41	h(t	h(t	PROPN
ejpam-6626	135	42	,	,	PUNCT
ejpam-6626	135	43	x	x	NOUN
ejpam-6626	135	44	)	)	PUNCT
ejpam-6626	135	45	]	]	PUNCT
ejpam-6626	136	1	=	=	SYM
ejpam-6626	136	2	1	1	NUM
ejpam-6626	136	3	s2	s2	NOUN
ejpam-6626	136	4	h(0	h(0	PROPN
ejpam-6626	136	5	,	,	PUNCT
ejpam-6626	136	6	x)−	x)−	PROPN
ejpam-6626	136	7	1−	1−	NUM
ejpam-6626	136	8	γ	γ	PROPN
ejpam-6626	136	9	+	+	X
ejpam-6626	136	10	γs−γ	γs−γ	PROPN
ejpam-6626	136	11	m(γ	m(γ	NOUN
ejpam-6626	136	12	)	)	PUNCT
ejpam-6626	136	13	a	a	DET
ejpam-6626	136	14	[	[	PUNCT
ejpam-6626	136	15	g	g	PROPN
ejpam-6626	136	16	∂βh	∂βh	PROPN
ejpam-6626	136	17	∂xβ	∂xβ	PROPN
ejpam-6626	136	18	+	+	CCONJ
ejpam-6626	136	19	h	h	NOUN
ejpam-6626	136	20	∂βg	∂βg	PROPN
ejpam-6626	136	21	∂xβ	∂xβ	NOUN
ejpam-6626	136	22	+	+	CCONJ
ejpam-6626	136	23	d2	d2	NOUN
ejpam-6626	136	24	∂3βg	∂3βg	NOUN
ejpam-6626	136	25	∂x3β	∂x3β	ADP
ejpam-6626	136	26	−	−	PROPN
ejpam-6626	136	27	d1	d1	PROPN
ejpam-6626	136	28	∂2βg	∂2βg	NOUN
ejpam-6626	136	29	∂x2β	∂x2β	PROPN
ejpam-6626	136	30	]	]	PUNCT
ejpam-6626	136	31	.	.	PUNCT
ejpam-6626	137	1	(	(	PUNCT
ejpam-6626	137	2	3.15	3.15	NUM
ejpam-6626	137	3	)	)	PUNCT
ejpam-6626	137	4	by	by	ADP
ejpam-6626	137	5	following	follow	VERB
ejpam-6626	137	6	the	the	DET
ejpam-6626	137	7	same	same	ADJ
ejpam-6626	137	8	process	process	NOUN
ejpam-6626	137	9	as	as	ADP
ejpam-6626	137	10	before	before	ADV
ejpam-6626	137	11	,	,	PUNCT
ejpam-6626	137	12	we	we	PRON
ejpam-6626	137	13	obtain	obtain	VERB
ejpam-6626	137	14	:	:	PUNCT
ejpam-6626	137	15	g(t	g(t	PROPN
ejpam-6626	137	16	,	,	PUNCT
ejpam-6626	137	17	x	x	X
ejpam-6626	137	18	)	)	PUNCT
ejpam-6626	137	19	=	=	SYM
ejpam-6626	137	20	g(0	g(0	PROPN
ejpam-6626	137	21	,	,	PUNCT
ejpam-6626	137	22	x)−a−1	x)−a−1	PROPN
ejpam-6626	138	1	[	[	PUNCT
ejpam-6626	138	2	1−	1−	NUM
ejpam-6626	138	3	γ	γ	X
ejpam-6626	138	4	+	+	CCONJ
ejpam-6626	138	5	γs−γ	γs−γ	PROPN
ejpam-6626	138	6	m(γ	m(γ	NOUN
ejpam-6626	138	7	)	)	PUNCT
ejpam-6626	138	8	a	a	DET
ejpam-6626	138	9	[	[	PUNCT
ejpam-6626	138	10	g	g	PROPN
ejpam-6626	138	11	∂βg	∂βg	PROPN
ejpam-6626	138	12	∂xβ	∂xβ	NOUN
ejpam-6626	138	13	+	+	CCONJ
ejpam-6626	138	14	∂βh	∂βh	PROPN
ejpam-6626	138	15	∂xβ	∂xβ	PROPN
ejpam-6626	138	16	+	+	CCONJ
ejpam-6626	138	17	d1	d1	PROPN
ejpam-6626	138	18	∂2βg	∂2βg	NOUN
ejpam-6626	138	19	∂x2β	∂x2β	PROPN
ejpam-6626	138	20	]	]	X
ejpam-6626	138	21	]	]	X
ejpam-6626	138	22	,	,	PUNCT
ejpam-6626	138	23	h(t	h(t	PROPN
ejpam-6626	138	24	,	,	PUNCT
ejpam-6626	138	25	x	x	X
ejpam-6626	138	26	)	)	PUNCT
ejpam-6626	138	27	=	=	SYM
ejpam-6626	138	28	h(0	h(0	PROPN
ejpam-6626	138	29	,	,	PUNCT
ejpam-6626	138	30	x)−a−1	x)−a−1	X
ejpam-6626	138	31	[	[	PUNCT
ejpam-6626	138	32	1−	1−	NUM
ejpam-6626	138	33	γ	γ	X
ejpam-6626	138	34	+	+	CCONJ
ejpam-6626	138	35	γs−γ	γs−γ	PROPN
ejpam-6626	138	36	m(γ	m(γ	NOUN
ejpam-6626	138	37	)	)	PUNCT
ejpam-6626	138	38	a	a	PRON
ejpam-6626	138	39	[	[	PUNCT
ejpam-6626	138	40	g	g	PROPN
ejpam-6626	138	41	∂βh	∂βh	PROPN
ejpam-6626	138	42	∂xβ	∂xβ	PROPN
ejpam-6626	138	43	+	+	CCONJ
ejpam-6626	138	44	h	h	NOUN
ejpam-6626	138	45	∂βg	∂βg	PROPN
ejpam-6626	138	46	∂xβ	∂xβ	NOUN
ejpam-6626	138	47	+	+	CCONJ
ejpam-6626	138	48	d2	d2	NOUN
ejpam-6626	138	49	∂3βg	∂3βg	NOUN
ejpam-6626	138	50	∂x3β	∂x3β	ADP
ejpam-6626	138	51	−	−	PROPN
ejpam-6626	138	52	d1	d1	PROPN
ejpam-6626	138	53	∂2βg	∂2βg	NOUN
ejpam-6626	138	54	∂x2β	∂x2β	PROPN
ejpam-6626	138	55	]	]	X
ejpam-6626	138	56	(	(	PUNCT
ejpam-6626	138	57	3.16	3.16	NUM
ejpam-6626	138	58	)	)	PUNCT
ejpam-6626	138	59	hence	hence	ADV
ejpam-6626	138	60	,	,	PUNCT
ejpam-6626	138	61	the	the	DET
ejpam-6626	138	62	recurrence	recurrence	NOUN
ejpam-6626	138	63	relations	relation	NOUN
ejpam-6626	138	64	are	be	AUX
ejpam-6626	138	65	given	give	VERB
ejpam-6626	138	66	as	as	SCONJ
ejpam-6626	138	67	follows	follow	VERB
ejpam-6626	138	68	:	:	PUNCT
ejpam-6626	138	69	{	{	PUNCT
ejpam-6626	138	70	g0(t	g0(t	NOUN
ejpam-6626	138	71	,	,	PUNCT
ejpam-6626	138	72	x	x	X
ejpam-6626	138	73	)	)	PUNCT
ejpam-6626	138	74	=	=	SYM
ejpam-6626	138	75	v(x	v(x	PROPN
ejpam-6626	138	76	)	)	PUNCT
ejpam-6626	138	77	,	,	PUNCT
ejpam-6626	138	78	h0(t	h0(t	PROPN
ejpam-6626	138	79	,	,	PUNCT
ejpam-6626	138	80	x	x	NOUN
ejpam-6626	138	81	)	)	PUNCT
ejpam-6626	138	82	=	=	SYM
ejpam-6626	138	83	w(x	w(x	NOUN
ejpam-6626	138	84	)	)	PUNCT
ejpam-6626	138	85	,	,	PUNCT
ejpam-6626	138	86	(	(	PUNCT
ejpam-6626	138	87	3.17	3.17	NUM
ejpam-6626	138	88	)	)	PUNCT
ejpam-6626	138	89	i.	i.	PROPN
ejpam-6626	138	90	kadri	kadri	PROPN
ejpam-6626	138	91	et	et	PROPN
ejpam-6626	138	92	al	al	PROPN
ejpam-6626	138	93	.	.	PUNCT
ejpam-6626	138	94	/	/	SYM
ejpam-6626	138	95	eur	eur	PROPN
ejpam-6626	138	96	.	.	PUNCT
ejpam-6626	139	1	j.	j.	PROPN
ejpam-6626	139	2	pure	pure	PROPN
ejpam-6626	139	3	appl	appl	PROPN
ejpam-6626	139	4	.	.	PROPN
ejpam-6626	139	5	math	math	PROPN
ejpam-6626	139	6	,	,	PUNCT
ejpam-6626	139	7	18	18	NUM
ejpam-6626	139	8	(	(	PUNCT
ejpam-6626	139	9	3	3	NUM
ejpam-6626	139	10	)	)	PUNCT
ejpam-6626	139	11	(	(	PUNCT
ejpam-6626	139	12	2025	2025	NUM
ejpam-6626	139	13	)	)	PUNCT
ejpam-6626	139	14	,	,	PUNCT
ejpam-6626	139	15	6626	6626	NUM
ejpam-6626	139	16	8	8	NUM
ejpam-6626	139	17	of	of	ADP
ejpam-6626	139	18	24	24	NUM
ejpam-6626	139	19	g1(t	g1(t	NOUN
ejpam-6626	139	20	,	,	PUNCT
ejpam-6626	139	21	x	x	NOUN
ejpam-6626	139	22	)	)	PUNCT
ejpam-6626	139	23	=	=	SYM
ejpam-6626	140	1	−a−1	−a−1	NOUN
ejpam-6626	140	2	[	[	PUNCT
ejpam-6626	140	3	1−	1−	NUM
ejpam-6626	140	4	γ	γ	X
ejpam-6626	140	5	+	+	CCONJ
ejpam-6626	140	6	γs−γ	γs−γ	PROPN
ejpam-6626	140	7	m(γ	m(γ	NOUN
ejpam-6626	140	8	)	)	PUNCT
ejpam-6626	140	9	a	a	DET
ejpam-6626	140	10	[	[	PUNCT
ejpam-6626	140	11	l0	l0	NOUN
ejpam-6626	140	12	+	+	CCONJ
ejpam-6626	140	13	∂βh0	∂βh0	ADV
ejpam-6626	140	14	∂xβ	∂xβ	NOUN
ejpam-6626	140	15	+	+	CCONJ
ejpam-6626	140	16	d1	d1	NOUN
ejpam-6626	140	17	∂2βg0	∂2βg0	PUNCT
ejpam-6626	140	18	∂x2β	∂x2β	PROPN
ejpam-6626	140	19	]	]	X
ejpam-6626	140	20	]	]	PUNCT
ejpam-6626	140	21	,	,	PUNCT
ejpam-6626	140	22	h1(t	h1(t	PROPN
ejpam-6626	140	23	,	,	PUNCT
ejpam-6626	140	24	x	x	NOUN
ejpam-6626	140	25	)	)	PUNCT
ejpam-6626	140	26	=	=	SYM
ejpam-6626	140	27	−a−1	−a−1	NOUN
ejpam-6626	140	28	[	[	PUNCT
ejpam-6626	140	29	1−	1−	NUM
ejpam-6626	140	30	γ	γ	X
ejpam-6626	140	31	+	+	CCONJ
ejpam-6626	140	32	γs−γ	γs−γ	PROPN
ejpam-6626	140	33	m(γγ	m(γγ	NUM
ejpam-6626	140	34	)	)	PUNCT
ejpam-6626	140	35	a	a	DET
ejpam-6626	140	36	[	[	PUNCT
ejpam-6626	140	37	b0	b0	NOUN
ejpam-6626	140	38	+	+	CCONJ
ejpam-6626	140	39	c0	c0	PROPN
ejpam-6626	140	40	+	+	CCONJ
ejpam-6626	140	41	d2	d2	PROPN
ejpam-6626	140	42	∂3βg0	∂3βg0	NOUN
ejpam-6626	140	43	∂x3β	∂x3β	ADP
ejpam-6626	140	44	−	−	PROPN
ejpam-6626	140	45	d1	d1	PROPN
ejpam-6626	140	46	∂2βg0	∂2βg0	PUNCT
ejpam-6626	140	47	∂x2β	∂x2β	PROPN
ejpam-6626	140	48	]	]	X
ejpam-6626	140	49	]	]	X
ejpam-6626	140	50	,	,	PUNCT
ejpam-6626	140	51	(	(	PUNCT
ejpam-6626	140	52	3.18	3.18	NUM
ejpam-6626	140	53	)	)	PUNCT
ejpam-6626	140	54			PROPN
ejpam-6626	140	55	g2(t	g2(t	PROPN
ejpam-6626	140	56	,	,	PUNCT
ejpam-6626	140	57	x	x	NOUN
ejpam-6626	140	58	)	)	PUNCT
ejpam-6626	140	59	=	=	SYM
ejpam-6626	140	60	−a−1	−a−1	NOUN
ejpam-6626	140	61	[	[	PUNCT
ejpam-6626	140	62	1−	1−	NUM
ejpam-6626	140	63	γ	γ	X
ejpam-6626	140	64	+	+	CCONJ
ejpam-6626	140	65	γs−γ	γs−γ	PROPN
ejpam-6626	140	66	m(γ	m(γ	NOUN
ejpam-6626	140	67	)	)	PUNCT
ejpam-6626	140	68	a	a	PRON
ejpam-6626	140	69	[	[	PUNCT
ejpam-6626	140	70	l1	l1	PROPN
ejpam-6626	140	71	+	+	CCONJ
ejpam-6626	140	72	∂βh1	∂βh1	PROPN
ejpam-6626	140	73	∂xβ	∂xβ	PROPN
ejpam-6626	140	74	+	+	CCONJ
ejpam-6626	140	75	d1	d1	PROPN
ejpam-6626	140	76	∂2βg1	∂2βg1	ADJ
ejpam-6626	140	77	∂x2β	∂x2β	PROPN
ejpam-6626	140	78	]	]	X
ejpam-6626	140	79	]	]	PUNCT
ejpam-6626	140	80	,	,	PUNCT
ejpam-6626	140	81	h2(t	h2(t	PROPN
ejpam-6626	140	82	,	,	PUNCT
ejpam-6626	140	83	x	x	NOUN
ejpam-6626	140	84	)	)	PUNCT
ejpam-6626	140	85	=	=	SYM
ejpam-6626	141	1	−a−1	−a−1	NOUN
ejpam-6626	141	2	[	[	PUNCT
ejpam-6626	141	3	1−	1−	NUM
ejpam-6626	141	4	γ	γ	X
ejpam-6626	141	5	+	+	CCONJ
ejpam-6626	141	6	γs−γ	γs−γ	PROPN
ejpam-6626	141	7	m(γ	m(γ	NOUN
ejpam-6626	141	8	)	)	PUNCT
ejpam-6626	141	9	a	a	DET
ejpam-6626	141	10	[	[	PUNCT
ejpam-6626	141	11	b1	b1	NOUN
ejpam-6626	141	12	+	+	CCONJ
ejpam-6626	141	13	c1	c1	PROPN
ejpam-6626	141	14	+	+	CCONJ
ejpam-6626	141	15	d2	d2	PROPN
ejpam-6626	141	16	∂3βg1	∂3βg1	ADP
ejpam-6626	141	17	∂x3β	∂x3β	ADP
ejpam-6626	141	18	−	−	PROPN
ejpam-6626	141	19	d1	d1	PROPN
ejpam-6626	141	20	∂2βg1	∂2βg1	PROPN
ejpam-6626	141	21	∂x2β	∂x2β	PROPN
ejpam-6626	141	22	]	]	X
ejpam-6626	141	23	]	]	PUNCT
ejpam-6626	141	24	,	,	PUNCT
ejpam-6626	141	25	(	(	PUNCT
ejpam-6626	141	26	3.19	3.19	NUM
ejpam-6626	141	27	)	)	PUNCT
ejpam-6626	141	28			PROPN
ejpam-6626	141	29	g3(t	g3(t	PROPN
ejpam-6626	141	30	,	,	PUNCT
ejpam-6626	141	31	x	x	X
ejpam-6626	141	32	)	)	PUNCT
ejpam-6626	141	33	=	=	SYM
ejpam-6626	141	34	−a−1	−a−1	NOUN
ejpam-6626	141	35	[	[	PUNCT
ejpam-6626	141	36	1−	1−	NUM
ejpam-6626	141	37	γ	γ	X
ejpam-6626	141	38	+	+	CCONJ
ejpam-6626	141	39	γs−γ	γs−γ	PROPN
ejpam-6626	141	40	m(γ	m(γ	NOUN
ejpam-6626	141	41	)	)	PUNCT
ejpam-6626	141	42	a	a	DET
ejpam-6626	141	43	[	[	PUNCT
ejpam-6626	141	44	l2	l2	NOUN
ejpam-6626	141	45	+	+	CCONJ
ejpam-6626	141	46	∂βh2	∂βh2	NUM
ejpam-6626	141	47	∂xβ	∂xβ	NOUN
ejpam-6626	141	48	+	+	CCONJ
ejpam-6626	141	49	d1	d1	PROPN
ejpam-6626	141	50	∂2βg2	∂2βg2	PROPN
ejpam-6626	141	51	∂x2β	∂x2β	PROPN
ejpam-6626	141	52	]	]	X
ejpam-6626	141	53	]	]	X
ejpam-6626	141	54	,	,	PUNCT
ejpam-6626	141	55	h3(t	h3(t	X
ejpam-6626	141	56	,	,	PUNCT
ejpam-6626	141	57	x	x	X
ejpam-6626	141	58	)	)	PUNCT
ejpam-6626	141	59	=	=	SYM
ejpam-6626	141	60	−a−1	−a−1	NOUN
ejpam-6626	141	61	[	[	PUNCT
ejpam-6626	141	62	1−	1−	NUM
ejpam-6626	141	63	γ	γ	X
ejpam-6626	141	64	+	+	CCONJ
ejpam-6626	141	65	γs−γ	γs−γ	PROPN
ejpam-6626	141	66	m(γ	m(γ	NOUN
ejpam-6626	141	67	)	)	PUNCT
ejpam-6626	141	68	a	a	DET
ejpam-6626	141	69	[	[	PUNCT
ejpam-6626	141	70	b2	b2	NOUN
ejpam-6626	141	71	+	+	CCONJ
ejpam-6626	141	72	c2	c2	PROPN
ejpam-6626	141	73	+	+	CCONJ
ejpam-6626	141	74	d2	d2	PROPN
ejpam-6626	141	75	∂3βg2	∂3βg2	PROPN
ejpam-6626	141	76	∂x3β	∂x3β	ADP
ejpam-6626	141	77	−	−	NOUN
ejpam-6626	141	78	d1	d1	PROPN
ejpam-6626	141	79	∂2βg2	∂2βg2	PROPN
ejpam-6626	141	80	∂x2β	∂x2β	NOUN
ejpam-6626	141	81	]	]	X
ejpam-6626	141	82	]	]	PUNCT
ejpam-6626	141	83	,	,	PUNCT
ejpam-6626	141	84	(	(	PUNCT
ejpam-6626	141	85	3.20	3.20	NUM
ejpam-6626	141	86	)	)	PUNCT
ejpam-6626	141	87	thus	thus	ADV
ejpam-6626	141	88	,	,	PUNCT
ejpam-6626	141	89	the	the	DET
ejpam-6626	141	90	series	series	NOUN
ejpam-6626	141	91	solution	solution	NOUN
ejpam-6626	141	92	is	be	AUX
ejpam-6626	141	93	given	give	VERB
ejpam-6626	141	94	as	as	SCONJ
ejpam-6626	141	95	follows	follow	VERB
ejpam-6626	141	96	:	:	PUNCT
ejpam-6626	141	97	g(t	g(t	PROPN
ejpam-6626	141	98	,	,	PUNCT
ejpam-6626	141	99	x	x	X
ejpam-6626	141	100	)	)	PUNCT
ejpam-6626	141	101	=	=	SYM
ejpam-6626	141	102	g0(t	g0(t	PROPN
ejpam-6626	141	103	,	,	PUNCT
ejpam-6626	141	104	x	x	X
ejpam-6626	141	105	)	)	PUNCT
ejpam-6626	141	106	+	+	CCONJ
ejpam-6626	141	107	g1(t	g1(t	PROPN
ejpam-6626	141	108	,	,	PUNCT
ejpam-6626	141	109	x	x	NOUN
ejpam-6626	141	110	)	)	PUNCT
ejpam-6626	142	1	+	+	CCONJ
ejpam-6626	142	2	g2(t	g2(t	PROPN
ejpam-6626	142	3	,	,	PUNCT
ejpam-6626	142	4	x	x	NOUN
ejpam-6626	142	5	)	)	PUNCT
ejpam-6626	143	1	+	+	CCONJ
ejpam-6626	143	2	g3(t	g3(t	NUM
ejpam-6626	143	3	,	,	PUNCT
ejpam-6626	143	4	x	x	PRON
ejpam-6626	143	5	)	)	PUNCT
ejpam-6626	143	6	+	+	CCONJ
ejpam-6626	143	7	...	...	PUNCT
ejpam-6626	143	8	,	,	PUNCT
ejpam-6626	143	9	h(t	h(t	PROPN
ejpam-6626	143	10	,	,	PUNCT
ejpam-6626	143	11	x	x	X
ejpam-6626	143	12	)	)	PUNCT
ejpam-6626	143	13	=	=	SYM
ejpam-6626	143	14	h0(t	h0(t	PROPN
ejpam-6626	143	15	,	,	PUNCT
ejpam-6626	143	16	x	x	NOUN
ejpam-6626	143	17	)	)	PUNCT
ejpam-6626	144	1	+	+	CCONJ
ejpam-6626	144	2	h1(t	h1(t	ADV
ejpam-6626	144	3	,	,	PUNCT
ejpam-6626	144	4	x	x	NOUN
ejpam-6626	144	5	)	)	PUNCT
ejpam-6626	145	1	+	+	CCONJ
ejpam-6626	145	2	h2(t	h2(t	PROPN
ejpam-6626	145	3	,	,	PUNCT
ejpam-6626	145	4	x	x	PRON
ejpam-6626	145	5	)	)	PUNCT
ejpam-6626	145	6	+	+	CCONJ
ejpam-6626	146	1	h3(t	h3(t	PROPN
ejpam-6626	146	2	,	,	PUNCT
ejpam-6626	146	3	x	x	PRON
ejpam-6626	146	4	)	)	PUNCT
ejpam-6626	147	1	+	+	CCONJ
ejpam-6626	147	2	....	....	PUNCT
ejpam-6626	147	3	(	(	PUNCT
ejpam-6626	147	4	3.21	3.21	NUM
ejpam-6626	147	5	)	)	PUNCT
ejpam-6626	147	6	3.3	3.3	NUM
ejpam-6626	147	7	.	.	PUNCT
ejpam-6626	148	1	aboodh	aboodh	ADJ
ejpam-6626	148	2	decomposition	decomposition	NOUN
ejpam-6626	148	3	transform	transform	NOUN
ejpam-6626	148	4	under	under	ADP
ejpam-6626	148	5	caputo	caputo	PROPN
ejpam-6626	148	6	-	-	PUNCT
ejpam-6626	148	7	fabrizio	fabrizio	PROPN
ejpam-6626	148	8	operator	operator	NOUN
ejpam-6626	148	9	.	.	PUNCT
ejpam-6626	149	1	employing	employ	VERB
ejpam-6626	149	2	the	the	DET
ejpam-6626	149	3	aboodh	aboodh	ADJ
ejpam-6626	149	4	transform	transform	NOUN
ejpam-6626	149	5	in	in	ADP
ejpam-6626	149	6	the	the	DET
ejpam-6626	149	7	sense	sense	NOUN
ejpam-6626	149	8	of	of	ADP
ejpam-6626	149	9	caputo	caputo	PROPN
ejpam-6626	149	10	-	-	PUNCT
ejpam-6626	149	11	fabrizio	fabrizio	PROPN
ejpam-6626	149	12	from	from	ADP
ejpam-6626	149	13	eq	eq	PROPN
ejpam-6626	149	14	.	.	PUNCT
ejpam-6626	150	1	(	(	PUNCT
ejpam-6626	150	2	2.7	2.7	NUM
ejpam-6626	150	3	)	)	PUNCT
ejpam-6626	150	4	on	on	ADP
ejpam-6626	150	5	eqs	eqs	PROPN
ejpam-6626	150	6	.	.	PUNCT
ejpam-6626	151	1	(	(	PUNCT
ejpam-6626	151	2	3.1	3.1	NUM
ejpam-6626	151	3	)	)	PUNCT
ejpam-6626	151	4	,	,	PUNCT
ejpam-6626	151	5	we	we	PRON
ejpam-6626	151	6	get	get	VERB
ejpam-6626	151	7	:	:	PUNCT
ejpam-6626	151	8	s1+γ	s1+γ	PROPN
ejpam-6626	151	9	s2(1−	s2(1−	PROPN
ejpam-6626	151	10	γ	γ	PROPN
ejpam-6626	151	11	)	)	PUNCT
ejpam-6626	151	12	+	+	CCONJ
ejpam-6626	151	13	γs	γ	VERB
ejpam-6626	151	14	a	a	DET
ejpam-6626	151	15	[	[	X
ejpam-6626	151	16	g(t	g(t	PROPN
ejpam-6626	151	17	,	,	PUNCT
ejpam-6626	151	18	x	x	NOUN
ejpam-6626	151	19	)	)	PUNCT
ejpam-6626	151	20	]	]	PUNCT
ejpam-6626	152	1	=	=	SYM
ejpam-6626	152	2	1	1	NUM
ejpam-6626	152	3	s2−γ	s2−γ	PROPN
ejpam-6626	152	4	g(0	g(0	PROPN
ejpam-6626	152	5	,	,	PUNCT
ejpam-6626	152	6	x)−a	x)−a	PROPN
ejpam-6626	153	1	[	[	PUNCT
ejpam-6626	153	2	g	g	PROPN
ejpam-6626	153	3	∂βg	∂βg	PROPN
ejpam-6626	153	4	∂xβ	∂xβ	NOUN
ejpam-6626	153	5	+	+	CCONJ
ejpam-6626	153	6	∂βh	∂βh	PROPN
ejpam-6626	153	7	∂xβ	∂xβ	PROPN
ejpam-6626	153	8	+	+	CCONJ
ejpam-6626	153	9	d1	d1	PROPN
ejpam-6626	153	10	∂2βg	∂2βg	ADJ
ejpam-6626	153	11	∂x2β	∂x2β	PROPN
ejpam-6626	153	12	]	]	PUNCT
ejpam-6626	153	13	,	,	PUNCT
ejpam-6626	153	14	s1+γ	s1+γ	PROPN
ejpam-6626	153	15	s2(1−	s2(1−	PROPN
ejpam-6626	153	16	γ	γ	PROPN
ejpam-6626	153	17	)	)	PUNCT
ejpam-6626	153	18	+	+	CCONJ
ejpam-6626	153	19	γs	γ	VERB
ejpam-6626	153	20	a	a	DET
ejpam-6626	153	21	[	[	X
ejpam-6626	153	22	h(t	h(t	PROPN
ejpam-6626	153	23	,	,	PUNCT
ejpam-6626	153	24	x	x	NOUN
ejpam-6626	153	25	)	)	PUNCT
ejpam-6626	153	26	]	]	PUNCT
ejpam-6626	154	1	=	=	SYM
ejpam-6626	154	2	1	1	NUM
ejpam-6626	154	3	s2−γ	s2−γ	PROPN
ejpam-6626	154	4	h(0	h(0	PROPN
ejpam-6626	154	5	,	,	PUNCT
ejpam-6626	154	6	x)−a	x)−a	PROPN
ejpam-6626	154	7	[	[	PUNCT
ejpam-6626	154	8	g	g	PROPN
ejpam-6626	154	9	∂βh	∂βh	PROPN
ejpam-6626	154	10	∂xβ	∂xβ	PROPN
ejpam-6626	154	11	+	+	CCONJ
ejpam-6626	154	12	h	h	NOUN
ejpam-6626	154	13	∂βg	∂βg	PROPN
ejpam-6626	154	14	∂xβ	∂xβ	NOUN
ejpam-6626	154	15	+	+	CCONJ
ejpam-6626	154	16	d2	d2	NOUN
ejpam-6626	154	17	∂3βg	∂3βg	NOUN
ejpam-6626	154	18	∂x3β	∂x3β	ADP
ejpam-6626	154	19	−	−	PROPN
ejpam-6626	154	20	d1	d1	PROPN
ejpam-6626	154	21	∂2βg	∂2βg	NOUN
ejpam-6626	154	22	∂x2β	∂x2β	PROPN
ejpam-6626	154	23	]	]	PUNCT
ejpam-6626	154	24	.	.	PUNCT
ejpam-6626	155	1	(	(	PUNCT
ejpam-6626	155	2	3.22	3.22	NUM
ejpam-6626	155	3	)	)	PUNCT
ejpam-6626	155	4	thus	thus	ADV
ejpam-6626	155	5	,	,	PUNCT
ejpam-6626	155	6	a	a	PRON
ejpam-6626	155	7	[	[	X
ejpam-6626	155	8	g(t	g(t	PROPN
ejpam-6626	155	9	,	,	PUNCT
ejpam-6626	155	10	x	x	NOUN
ejpam-6626	155	11	)	)	PUNCT
ejpam-6626	155	12	]	]	PUNCT
ejpam-6626	155	13	=	=	SYM
ejpam-6626	155	14	1	1	NUM
ejpam-6626	155	15	s2−γ	s2−γ	PROPN
ejpam-6626	155	16	g(0	g(0	PROPN
ejpam-6626	155	17	,	,	PUNCT
ejpam-6626	155	18	x)−	x)−	PROPN
ejpam-6626	155	19	s2(1−	s2(1−	PROPN
ejpam-6626	155	20	γ	γ	PROPN
ejpam-6626	155	21	)	)	PUNCT
ejpam-6626	155	22	+	+	CCONJ
ejpam-6626	155	23	γs	γs	AUX
ejpam-6626	155	24	s3	s3	PROPN
ejpam-6626	155	25	a	a	DET
ejpam-6626	155	26	[	[	PUNCT
ejpam-6626	155	27	g	g	PROPN
ejpam-6626	155	28	∂βg	∂βg	PROPN
ejpam-6626	155	29	∂xβ	∂xβ	NOUN
ejpam-6626	155	30	+	+	CCONJ
ejpam-6626	155	31	∂βh	∂βh	PROPN
ejpam-6626	155	32	∂xβ	∂xβ	PROPN
ejpam-6626	155	33	+	+	CCONJ
ejpam-6626	155	34	d1	d1	PROPN
ejpam-6626	155	35	∂2βg	∂2βg	ADJ
ejpam-6626	155	36	∂x2β	∂x2β	PROPN
ejpam-6626	155	37	]	]	PUNCT
ejpam-6626	155	38	,	,	PUNCT
ejpam-6626	155	39	a	a	PRON
ejpam-6626	155	40	[	[	X
ejpam-6626	155	41	h(t	h(t	PROPN
ejpam-6626	155	42	,	,	PUNCT
ejpam-6626	155	43	x	x	NOUN
ejpam-6626	155	44	)	)	PUNCT
ejpam-6626	155	45	]	]	PUNCT
ejpam-6626	156	1	=	=	SYM
ejpam-6626	156	2	1	1	NUM
ejpam-6626	156	3	s2−γ	s2−γ	PROPN
ejpam-6626	156	4	h(0	h(0	PROPN
ejpam-6626	156	5	,	,	PUNCT
ejpam-6626	156	6	x)−	x)−	PROPN
ejpam-6626	156	7	s2(1−	s2(1−	PROPN
ejpam-6626	156	8	γ	γ	PROPN
ejpam-6626	156	9	)	)	PUNCT
ejpam-6626	156	10	+	+	CCONJ
ejpam-6626	156	11	γs	γs	AUX
ejpam-6626	156	12	s3	s3	PROPN
ejpam-6626	156	13	a	a	PRON
ejpam-6626	156	14	[	[	PUNCT
ejpam-6626	156	15	g	g	PROPN
ejpam-6626	156	16	∂βh	∂βh	PROPN
ejpam-6626	156	17	∂xβ	∂xβ	PROPN
ejpam-6626	156	18	+	+	CCONJ
ejpam-6626	156	19	h	h	NOUN
ejpam-6626	156	20	∂βg	∂βg	PROPN
ejpam-6626	156	21	∂xβ	∂xβ	NOUN
ejpam-6626	156	22	+	+	CCONJ
ejpam-6626	156	23	d2	d2	NOUN
ejpam-6626	156	24	∂3βg	∂3βg	NOUN
ejpam-6626	156	25	∂x3β	∂x3β	ADP
ejpam-6626	156	26	−	−	PROPN
ejpam-6626	156	27	d1	d1	PROPN
ejpam-6626	156	28	∂2βg	∂2βg	NOUN
ejpam-6626	156	29	∂x2β	∂x2β	PROPN
ejpam-6626	156	30	]	]	PUNCT
ejpam-6626	156	31	.	.	PUNCT
ejpam-6626	157	1	(	(	PUNCT
ejpam-6626	157	2	3.23	3.23	NUM
ejpam-6626	157	3	)	)	PUNCT
ejpam-6626	157	4	by	by	ADP
ejpam-6626	157	5	following	follow	VERB
ejpam-6626	157	6	the	the	DET
ejpam-6626	157	7	same	same	ADJ
ejpam-6626	157	8	process	process	NOUN
ejpam-6626	157	9	as	as	ADP
ejpam-6626	157	10	before	before	ADV
ejpam-6626	157	11	,	,	PUNCT
ejpam-6626	157	12	we	we	PRON
ejpam-6626	157	13	obtain	obtain	VERB
ejpam-6626	157	14	:	:	PUNCT
ejpam-6626	157	15	g(t	g(t	PROPN
ejpam-6626	157	16	,	,	PUNCT
ejpam-6626	157	17	x	x	X
ejpam-6626	157	18	)	)	PUNCT
ejpam-6626	157	19	=	=	SYM
ejpam-6626	157	20	g(0	g(0	PROPN
ejpam-6626	157	21	,	,	PUNCT
ejpam-6626	157	22	x)−a−1	x)−a−1	PROPN
ejpam-6626	158	1	[	[	PUNCT
ejpam-6626	158	2	s2(1−	s2(1−	PROPN
ejpam-6626	158	3	γ	γ	PROPN
ejpam-6626	158	4	)	)	PUNCT
ejpam-6626	159	1	+	+	CCONJ
ejpam-6626	159	2	γs	γ	VERB
ejpam-6626	159	3	s3	s3	PROPN
ejpam-6626	159	4	a	a	DET
ejpam-6626	159	5	[	[	PUNCT
ejpam-6626	159	6	g	g	PROPN
ejpam-6626	159	7	∂βg	∂βg	PROPN
ejpam-6626	159	8	∂xβ	∂xβ	NOUN
ejpam-6626	159	9	+	+	CCONJ
ejpam-6626	159	10	∂βh	∂βh	PROPN
ejpam-6626	159	11	∂xβ	∂xβ	PROPN
ejpam-6626	159	12	+	+	CCONJ
ejpam-6626	159	13	d1	d1	PROPN
ejpam-6626	159	14	∂2βg	∂2βg	NOUN
ejpam-6626	159	15	∂x2β	∂x2β	PROPN
ejpam-6626	159	16	]	]	X
ejpam-6626	159	17	]	]	X
ejpam-6626	159	18	,	,	PUNCT
ejpam-6626	159	19	h(t	h(t	PROPN
ejpam-6626	159	20	,	,	PUNCT
ejpam-6626	159	21	x	x	X
ejpam-6626	159	22	)	)	PUNCT
ejpam-6626	160	1	=	=	SYM
ejpam-6626	160	2	h(0	h(0	PROPN
ejpam-6626	160	3	,	,	PUNCT
ejpam-6626	160	4	x)−a−1	x)−a−1	X
ejpam-6626	160	5	[	[	PUNCT
ejpam-6626	160	6	s2(1−	s2(1−	PROPN
ejpam-6626	160	7	γ	γ	PROPN
ejpam-6626	160	8	)	)	PUNCT
ejpam-6626	160	9	+	+	CCONJ
ejpam-6626	160	10	γs	γs	AUX
ejpam-6626	160	11	s3	s3	PROPN
ejpam-6626	160	12	a	a	PRON
ejpam-6626	160	13	[	[	PUNCT
ejpam-6626	160	14	g	g	PROPN
ejpam-6626	160	15	∂βh	∂βh	PROPN
ejpam-6626	160	16	∂xβ	∂xβ	PROPN
ejpam-6626	160	17	+	+	CCONJ
ejpam-6626	160	18	h	h	NOUN
ejpam-6626	160	19	∂βg	∂βg	PROPN
ejpam-6626	160	20	∂xβ	∂xβ	NOUN
ejpam-6626	160	21	+	+	CCONJ
ejpam-6626	160	22	d2	d2	NOUN
ejpam-6626	160	23	∂3βg	∂3βg	NOUN
ejpam-6626	160	24	∂x3β	∂x3β	ADP
ejpam-6626	160	25	−	−	PROPN
ejpam-6626	160	26	d1	d1	PROPN
ejpam-6626	160	27	∂2βg	∂2βg	NOUN
ejpam-6626	160	28	∂x2β	∂x2β	PROPN
ejpam-6626	160	29	]	]	X
ejpam-6626	160	30	(	(	PUNCT
ejpam-6626	160	31	3.24	3.24	NUM
ejpam-6626	160	32	)	)	PUNCT
ejpam-6626	160	33	i.	i.	PROPN
ejpam-6626	160	34	kadri	kadri	PROPN
ejpam-6626	160	35	et	et	PROPN
ejpam-6626	160	36	al	al	PROPN
ejpam-6626	160	37	.	.	PUNCT
ejpam-6626	160	38	/	/	SYM
ejpam-6626	160	39	eur	eur	PROPN
ejpam-6626	160	40	.	.	PUNCT
ejpam-6626	161	1	j.	j.	PROPN
ejpam-6626	161	2	pure	pure	PROPN
ejpam-6626	161	3	appl	appl	PROPN
ejpam-6626	161	4	.	.	PROPN
ejpam-6626	161	5	math	math	PROPN
ejpam-6626	161	6	,	,	PUNCT
ejpam-6626	161	7	18	18	NUM
ejpam-6626	161	8	(	(	PUNCT
ejpam-6626	161	9	3	3	NUM
ejpam-6626	161	10	)	)	PUNCT
ejpam-6626	161	11	(	(	PUNCT
ejpam-6626	161	12	2025	2025	NUM
ejpam-6626	161	13	)	)	PUNCT
ejpam-6626	161	14	,	,	PUNCT
ejpam-6626	161	15	6626	6626	NUM
ejpam-6626	161	16	9	9	NUM
ejpam-6626	161	17	of	of	ADP
ejpam-6626	161	18	24	24	NUM
ejpam-6626	161	19	hence	hence	ADV
ejpam-6626	161	20	,	,	PUNCT
ejpam-6626	161	21	the	the	DET
ejpam-6626	161	22	recurrence	recurrence	NOUN
ejpam-6626	161	23	relations	relation	NOUN
ejpam-6626	161	24	are	be	AUX
ejpam-6626	161	25	given	give	VERB
ejpam-6626	161	26	as	as	SCONJ
ejpam-6626	161	27	follows	follow	VERB
ejpam-6626	161	28	:	:	PUNCT
ejpam-6626	161	29	{	{	PUNCT
ejpam-6626	161	30	g0(t	g0(t	NOUN
ejpam-6626	161	31	,	,	PUNCT
ejpam-6626	161	32	x	x	X
ejpam-6626	161	33	)	)	PUNCT
ejpam-6626	161	34	=	=	SYM
ejpam-6626	161	35	v(x	v(x	PROPN
ejpam-6626	161	36	)	)	PUNCT
ejpam-6626	161	37	,	,	PUNCT
ejpam-6626	161	38	h0(t	h0(t	PROPN
ejpam-6626	161	39	,	,	PUNCT
ejpam-6626	161	40	x	x	NOUN
ejpam-6626	161	41	)	)	PUNCT
ejpam-6626	161	42	=	=	SYM
ejpam-6626	161	43	w(x	w(x	NOUN
ejpam-6626	161	44	)	)	PUNCT
ejpam-6626	161	45	,	,	PUNCT
ejpam-6626	161	46	(	(	PUNCT
ejpam-6626	161	47	3.25	3.25	NUM
ejpam-6626	161	48	)	)	PUNCT
ejpam-6626	162	1			PROPN
ejpam-6626	162	2	g1(t	g1(t	NOUN
ejpam-6626	162	3	,	,	PUNCT
ejpam-6626	162	4	x	x	NOUN
ejpam-6626	162	5	)	)	PUNCT
ejpam-6626	162	6	=	=	PUNCT
ejpam-6626	162	7	−a−1	−a−1	NOUN
ejpam-6626	162	8	[	[	PUNCT
ejpam-6626	162	9	s2(1−	s2(1−	PROPN
ejpam-6626	162	10	γ	γ	PROPN
ejpam-6626	162	11	)	)	PUNCT
ejpam-6626	162	12	+	+	CCONJ
ejpam-6626	162	13	γs	γs	AUX
ejpam-6626	162	14	s3	s3	PROPN
ejpam-6626	162	15	a	a	DET
ejpam-6626	162	16	[	[	PUNCT
ejpam-6626	162	17	l0	l0	NOUN
ejpam-6626	162	18	+	+	CCONJ
ejpam-6626	162	19	∂βh0	∂βh0	ADV
ejpam-6626	162	20	∂xβ	∂xβ	NOUN
ejpam-6626	162	21	+	+	CCONJ
ejpam-6626	162	22	d1	d1	NOUN
ejpam-6626	162	23	∂2βg0	∂2βg0	PUNCT
ejpam-6626	162	24	∂x2β	∂x2β	PROPN
ejpam-6626	162	25	]	]	X
ejpam-6626	162	26	]	]	PUNCT
ejpam-6626	162	27	,	,	PUNCT
ejpam-6626	162	28	h1(t	h1(t	PROPN
ejpam-6626	162	29	,	,	PUNCT
ejpam-6626	162	30	x	x	NOUN
ejpam-6626	162	31	)	)	PUNCT
ejpam-6626	162	32	=	=	PUNCT
ejpam-6626	162	33	−a−1	−a−1	NOUN
ejpam-6626	162	34	[	[	PUNCT
ejpam-6626	162	35	s2(1−	s2(1−	PROPN
ejpam-6626	162	36	γ	γ	PROPN
ejpam-6626	162	37	)	)	PUNCT
ejpam-6626	162	38	+	+	CCONJ
ejpam-6626	162	39	γs	γs	AUX
ejpam-6626	162	40	s3	s3	PROPN
ejpam-6626	162	41	a	a	DET
ejpam-6626	162	42	[	[	PUNCT
ejpam-6626	162	43	b0	b0	NOUN
ejpam-6626	162	44	+	+	CCONJ
ejpam-6626	162	45	c0	c0	PROPN
ejpam-6626	162	46	+	+	CCONJ
ejpam-6626	162	47	d2	d2	PROPN
ejpam-6626	162	48	∂3βg0	∂3βg0	NOUN
ejpam-6626	162	49	∂x3β	∂x3β	ADP
ejpam-6626	162	50	−	−	PROPN
ejpam-6626	162	51	d1	d1	PROPN
ejpam-6626	162	52	∂2βg0	∂2βg0	PUNCT
ejpam-6626	162	53	∂x2β	∂x2β	PROPN
ejpam-6626	162	54	]	]	X
ejpam-6626	162	55	]	]	X
ejpam-6626	162	56	,	,	PUNCT
ejpam-6626	162	57	(	(	PUNCT
ejpam-6626	162	58	3.26	3.26	NUM
ejpam-6626	162	59	)	)	PUNCT
ejpam-6626	162	60			PROPN
ejpam-6626	162	61	g2(t	g2(t	PROPN
ejpam-6626	162	62	,	,	PUNCT
ejpam-6626	162	63	x	x	NOUN
ejpam-6626	162	64	)	)	PUNCT
ejpam-6626	162	65	=	=	PUNCT
ejpam-6626	162	66	−a−1	−a−1	NOUN
ejpam-6626	162	67	[	[	PUNCT
ejpam-6626	162	68	s2(1−	s2(1−	PROPN
ejpam-6626	162	69	γ	γ	PROPN
ejpam-6626	162	70	)	)	PUNCT
ejpam-6626	162	71	+	+	CCONJ
ejpam-6626	162	72	γs	γs	AUX
ejpam-6626	162	73	s3	s3	PROPN
ejpam-6626	162	74	a	a	DET
ejpam-6626	162	75	[	[	PUNCT
ejpam-6626	162	76	l1	l1	PROPN
ejpam-6626	162	77	+	+	CCONJ
ejpam-6626	162	78	∂βh1	∂βh1	PROPN
ejpam-6626	162	79	∂xβ	∂xβ	PROPN
ejpam-6626	162	80	+	+	CCONJ
ejpam-6626	162	81	d1	d1	PROPN
ejpam-6626	162	82	∂2βf1	∂2βf1	PROPN
ejpam-6626	162	83	∂x2β	∂x2β	PROPN
ejpam-6626	162	84	]	]	X
ejpam-6626	162	85	]	]	X
ejpam-6626	162	86	,	,	PUNCT
ejpam-6626	162	87	h2(t	h2(t	PROPN
ejpam-6626	162	88	,	,	PUNCT
ejpam-6626	162	89	x	x	NOUN
ejpam-6626	162	90	)	)	PUNCT
ejpam-6626	162	91	=	=	PUNCT
ejpam-6626	162	92	−a−1	−a−1	NOUN
ejpam-6626	162	93	[	[	PUNCT
ejpam-6626	162	94	s2(1−	s2(1−	PROPN
ejpam-6626	162	95	γ	γ	PROPN
ejpam-6626	162	96	)	)	PUNCT
ejpam-6626	162	97	+	+	CCONJ
ejpam-6626	162	98	γs	γs	AUX
ejpam-6626	162	99	s3	s3	PROPN
ejpam-6626	162	100	a	a	DET
ejpam-6626	162	101	[	[	PUNCT
ejpam-6626	162	102	b1	b1	NOUN
ejpam-6626	162	103	+	+	CCONJ
ejpam-6626	162	104	c1	c1	PROPN
ejpam-6626	162	105	+	+	CCONJ
ejpam-6626	162	106	d2	d2	PROPN
ejpam-6626	162	107	∂3βg1	∂3βg1	ADP
ejpam-6626	162	108	∂x3β	∂x3β	ADP
ejpam-6626	162	109	−	−	PROPN
ejpam-6626	162	110	d1	d1	PROPN
ejpam-6626	162	111	∂2βg1	∂2βg1	PROPN
ejpam-6626	162	112	∂x2β	∂x2β	PROPN
ejpam-6626	162	113	]	]	X
ejpam-6626	162	114	]	]	X
ejpam-6626	162	115	,	,	PUNCT
ejpam-6626	162	116	(	(	PUNCT
ejpam-6626	162	117	3.27	3.27	NUM
ejpam-6626	162	118	)	)	PUNCT
ejpam-6626	162	119			PROPN
ejpam-6626	162	120	g3(t	g3(t	PROPN
ejpam-6626	162	121	,	,	PUNCT
ejpam-6626	162	122	x	x	X
ejpam-6626	162	123	)	)	PUNCT
ejpam-6626	162	124	=	=	PUNCT
ejpam-6626	162	125	−a−1	−a−1	NOUN
ejpam-6626	162	126	[	[	PUNCT
ejpam-6626	162	127	s2(1−	s2(1−	PROPN
ejpam-6626	162	128	γ	γ	PROPN
ejpam-6626	162	129	)	)	PUNCT
ejpam-6626	162	130	+	+	CCONJ
ejpam-6626	162	131	γs	γs	AUX
ejpam-6626	162	132	s3	s3	PROPN
ejpam-6626	162	133	a	a	DET
ejpam-6626	162	134	[	[	PUNCT
ejpam-6626	162	135	l2	l2	NOUN
ejpam-6626	162	136	+	+	CCONJ
ejpam-6626	162	137	∂βh2	∂βh2	NUM
ejpam-6626	162	138	∂xβ	∂xβ	NOUN
ejpam-6626	162	139	+	+	CCONJ
ejpam-6626	162	140	d1	d1	PROPN
ejpam-6626	162	141	∂2βg2	∂2βg2	PROPN
ejpam-6626	162	142	∂x2β	∂x2β	PROPN
ejpam-6626	162	143	]	]	X
ejpam-6626	162	144	]	]	X
ejpam-6626	162	145	,	,	PUNCT
ejpam-6626	162	146	h3(t	h3(t	X
ejpam-6626	162	147	,	,	PUNCT
ejpam-6626	162	148	x	x	X
ejpam-6626	162	149	)	)	PUNCT
ejpam-6626	162	150	=	=	PUNCT
ejpam-6626	162	151	−a−1	−a−1	NOUN
ejpam-6626	162	152	[	[	PUNCT
ejpam-6626	162	153	s2(1−	s2(1−	PROPN
ejpam-6626	162	154	γ	γ	PROPN
ejpam-6626	162	155	)	)	PUNCT
ejpam-6626	162	156	+	+	CCONJ
ejpam-6626	162	157	γs	γs	AUX
ejpam-6626	162	158	s3	s3	PROPN
ejpam-6626	162	159	a	a	DET
ejpam-6626	162	160	[	[	PUNCT
ejpam-6626	162	161	b2	b2	NOUN
ejpam-6626	162	162	+	+	CCONJ
ejpam-6626	162	163	c2	c2	PROPN
ejpam-6626	162	164	+	+	CCONJ
ejpam-6626	162	165	d2	d2	PROPN
ejpam-6626	162	166	∂3βg2	∂3βg2	PROPN
ejpam-6626	162	167	∂x3β	∂x3β	ADP
ejpam-6626	162	168	−	−	NOUN
ejpam-6626	162	169	d1	d1	PROPN
ejpam-6626	162	170	∂2βg2	∂2βg2	PROPN
ejpam-6626	162	171	∂x2β	∂x2β	NOUN
ejpam-6626	162	172	]	]	X
ejpam-6626	162	173	]	]	PUNCT
ejpam-6626	162	174	,	,	PUNCT
ejpam-6626	162	175	(	(	PUNCT
ejpam-6626	162	176	3.28	3.28	NUM
ejpam-6626	162	177	)	)	PUNCT
ejpam-6626	162	178	finally	finally	ADV
ejpam-6626	162	179	,	,	PUNCT
ejpam-6626	162	180	the	the	DET
ejpam-6626	162	181	series	series	NOUN
ejpam-6626	162	182	solution	solution	NOUN
ejpam-6626	162	183	is	be	AUX
ejpam-6626	162	184	given	give	VERB
ejpam-6626	162	185	as	as	SCONJ
ejpam-6626	162	186	follows	follow	VERB
ejpam-6626	162	187	:	:	PUNCT
ejpam-6626	163	1	g(t	g(t	PROPN
ejpam-6626	163	2	,	,	PUNCT
ejpam-6626	163	3	x	x	X
ejpam-6626	163	4	)	)	PUNCT
ejpam-6626	163	5	=	=	SYM
ejpam-6626	163	6	g0(t	g0(t	PROPN
ejpam-6626	163	7	,	,	PUNCT
ejpam-6626	163	8	x	x	X
ejpam-6626	163	9	)	)	PUNCT
ejpam-6626	163	10	+	+	CCONJ
ejpam-6626	163	11	g1(t	g1(t	PROPN
ejpam-6626	163	12	,	,	PUNCT
ejpam-6626	163	13	x	x	NOUN
ejpam-6626	163	14	)	)	PUNCT
ejpam-6626	163	15	+	+	CCONJ
ejpam-6626	163	16	g2(t	g2(t	PROPN
ejpam-6626	163	17	,	,	PUNCT
ejpam-6626	163	18	x	x	NOUN
ejpam-6626	163	19	)	)	PUNCT
ejpam-6626	163	20	+	+	CCONJ
ejpam-6626	163	21	g3(t	g3(t	NUM
ejpam-6626	163	22	,	,	PUNCT
ejpam-6626	163	23	x	x	PRON
ejpam-6626	163	24	)	)	PUNCT
ejpam-6626	163	25	+	+	CCONJ
ejpam-6626	163	26	...	...	PUNCT
ejpam-6626	163	27	,	,	PUNCT
ejpam-6626	163	28	h(t	h(t	PROPN
ejpam-6626	163	29	,	,	PUNCT
ejpam-6626	163	30	x	x	X
ejpam-6626	163	31	)	)	PUNCT
ejpam-6626	163	32	=	=	SYM
ejpam-6626	163	33	h0(t	h0(t	PROPN
ejpam-6626	163	34	,	,	PUNCT
ejpam-6626	163	35	x	x	NOUN
ejpam-6626	163	36	)	)	PUNCT
ejpam-6626	163	37	+	+	CCONJ
ejpam-6626	163	38	h1(t	h1(t	ADV
ejpam-6626	163	39	,	,	PUNCT
ejpam-6626	163	40	x	x	NOUN
ejpam-6626	163	41	)	)	PUNCT
ejpam-6626	163	42	+	+	CCONJ
ejpam-6626	163	43	h2(t	h2(t	PROPN
ejpam-6626	163	44	,	,	PUNCT
ejpam-6626	163	45	x	x	PRON
ejpam-6626	163	46	)	)	PUNCT
ejpam-6626	163	47	+	+	CCONJ
ejpam-6626	163	48	h3(t	h3(t	PROPN
ejpam-6626	163	49	,	,	PUNCT
ejpam-6626	163	50	x	x	PRON
ejpam-6626	163	51	)	)	PUNCT
ejpam-6626	163	52	+	+	CCONJ
ejpam-6626	163	53	....	....	PUNCT
ejpam-6626	163	54	(	(	PUNCT
ejpam-6626	163	55	3.29	3.29	NUM
ejpam-6626	163	56	)	)	PUNCT
ejpam-6626	163	57	4	4	NUM
ejpam-6626	163	58	.	.	NOUN
ejpam-6626	163	59	approximate	approximate	ADJ
ejpam-6626	163	60	solutions	solution	NOUN
ejpam-6626	163	61	to	to	ADP
ejpam-6626	163	62	the	the	DET
ejpam-6626	163	63	time	time	NOUN
ejpam-6626	163	64	fractional	fractional	ADJ
ejpam-6626	163	65	wbk	wbk	NOUN
ejpam-6626	163	66	equations	equation	NOUN
ejpam-6626	163	67	this	this	DET
ejpam-6626	163	68	section	section	NOUN
ejpam-6626	163	69	is	be	AUX
ejpam-6626	163	70	dedicated	dedicate	VERB
ejpam-6626	163	71	to	to	ADP
ejpam-6626	163	72	the	the	DET
ejpam-6626	163	73	numerical	numerical	ADJ
ejpam-6626	163	74	findings	finding	NOUN
ejpam-6626	163	75	of	of	ADP
ejpam-6626	163	76	solutions	solution	NOUN
ejpam-6626	163	77	obtained	obtain	VERB
ejpam-6626	163	78	for	for	ADP
ejpam-6626	163	79	the	the	DET
ejpam-6626	163	80	timefractional	timefractional	ADJ
ejpam-6626	163	81	wbk	wbk	NOUN
ejpam-6626	163	82	equations	equation	NOUN
ejpam-6626	163	83	.	.	PUNCT
ejpam-6626	164	1	examine	examine	VERB
ejpam-6626	164	2	the	the	DET
ejpam-6626	164	3	coupled	couple	VERB
ejpam-6626	164	4	system	system	NOUN
ejpam-6626	164	5	of	of	ADP
ejpam-6626	164	6	the	the	DET
ejpam-6626	164	7	whitham	whitham	NOUN
ejpam-6626	164	8	-	-	PUNCT
ejpam-6626	164	9	broer	broer	NOUN
ejpam-6626	164	10	-	-	PUNCT
ejpam-6626	164	11	kaup	kaup	NOUN
ejpam-6626	164	12	equations	equation	NOUN
ejpam-6626	164	13	where	where	SCONJ
ejpam-6626	164	14	,	,	PUNCT
ejpam-6626	164	15	d1	d1	PROPN
ejpam-6626	164	16	=	=	SYM
ejpam-6626	164	17	1	1	NUM
ejpam-6626	164	18	and	and	CCONJ
ejpam-6626	164	19	d2	d2	PROPN
ejpam-6626	165	1	=	=	SYM
ejpam-6626	165	2	3	3	X
ejpam-6626	165	3	.	.	X
ejpam-6626	166	1	we	we	PRON
ejpam-6626	166	2	achieve	achieve	VERB
ejpam-6626	166	3	the	the	DET
ejpam-6626	166	4	suggested	suggest	VERB
ejpam-6626	166	5	fractional	fractional	ADJ
ejpam-6626	166	6	equations	equation	NOUN
ejpam-6626	166	7	as	as	SCONJ
ejpam-6626	166	8	given	give	VERB
ejpam-6626	166	9	by	by	ADP
ejpam-6626	166	10	.	.	PROPN
ejpam-6626	166	11	4.1	4.1	NUM
ejpam-6626	166	12	.	.	PUNCT
ejpam-6626	167	1	the	the	DET
ejpam-6626	167	2	time	time	NOUN
ejpam-6626	167	3	fractional	fractional	ADJ
ejpam-6626	167	4	wbk	wbk	NOUN
ejpam-6626	167	5	equations	equation	NOUN
ejpam-6626	167	6	in	in	ADP
ejpam-6626	167	7	caputo	caputo	PROPN
ejpam-6626	167	8	framework	framework	PROPN
ejpam-6626	167	9	.	.	PUNCT
ejpam-6626	168	1	we	we	PRON
ejpam-6626	168	2	consider	consider	VERB
ejpam-6626	168	3	the	the	PRON
ejpam-6626	168	4	following	follow	VERB
ejpam-6626	168	5	caputo	caputo	NOUN
ejpam-6626	168	6	-	-	PUNCT
ejpam-6626	168	7	type	type	NOUN
ejpam-6626	168	8	time	time	NOUN
ejpam-6626	168	9	fractional	fractional	ADJ
ejpam-6626	168	10	wbk	wbk	NOUN
ejpam-6626	168	11	equations	equation	NOUN
ejpam-6626	168	12	∂γg	∂γg	NOUN
ejpam-6626	168	13	∂tγ	∂tγ	PROPN
ejpam-6626	168	14	+	+	CCONJ
ejpam-6626	168	15	g	g	NOUN
ejpam-6626	168	16	∂βg	∂βg	NOUN
ejpam-6626	168	17	∂xβ	∂xβ	NOUN
ejpam-6626	168	18	+	+	CCONJ
ejpam-6626	168	19	∂βh	∂βh	PROPN
ejpam-6626	168	20	∂xβ	∂xβ	PROPN
ejpam-6626	168	21	+	+	CCONJ
ejpam-6626	168	22	∂2βg	∂2βg	ADJ
ejpam-6626	168	23	∂x2β	∂x2β	NOUN
ejpam-6626	168	24	=	=	SYM
ejpam-6626	168	25	0	0	NUM
ejpam-6626	168	26	,	,	PUNCT
ejpam-6626	168	27	∂γh	∂γh	PROPN
ejpam-6626	168	28	∂tγ	∂tγ	PROPN
ejpam-6626	168	29	+	+	CCONJ
ejpam-6626	168	30	g	g	PROPN
ejpam-6626	168	31	∂βh	∂βh	PROPN
ejpam-6626	168	32	∂xβ	∂xβ	PROPN
ejpam-6626	168	33	+	+	CCONJ
ejpam-6626	168	34	h	h	NOUN
ejpam-6626	168	35	∂βg	∂βg	PROPN
ejpam-6626	168	36	∂xβ	∂xβ	NOUN
ejpam-6626	168	37	+	+	CCONJ
ejpam-6626	168	38	3	3	NUM
ejpam-6626	168	39	∂3βg	∂3βg	NOUN
ejpam-6626	168	40	∂x3β	∂x3β	ADP
ejpam-6626	168	41	−	−	PROPN
ejpam-6626	168	42	∂2βg	∂2βg	NOUN
ejpam-6626	168	43	∂x2β	∂x2β	NOUN
ejpam-6626	168	44	=	=	SYM
ejpam-6626	168	45	0	0	NUM
ejpam-6626	168	46	,	,	PUNCT
ejpam-6626	168	47	(	(	PUNCT
ejpam-6626	168	48	4.1	4.1	NUM
ejpam-6626	168	49	)	)	PUNCT
ejpam-6626	168	50	i.	i.	PROPN
ejpam-6626	168	51	kadri	kadri	PROPN
ejpam-6626	168	52	et	et	PROPN
ejpam-6626	168	53	al	al	PROPN
ejpam-6626	168	54	.	.	PUNCT
ejpam-6626	168	55	/	/	SYM
ejpam-6626	168	56	eur	eur	PROPN
ejpam-6626	168	57	.	.	PUNCT
ejpam-6626	169	1	j.	j.	PROPN
ejpam-6626	169	2	pure	pure	PROPN
ejpam-6626	169	3	appl	appl	PROPN
ejpam-6626	169	4	.	.	PROPN
ejpam-6626	169	5	math	math	PROPN
ejpam-6626	169	6	,	,	PUNCT
ejpam-6626	169	7	18	18	NUM
ejpam-6626	169	8	(	(	PUNCT
ejpam-6626	169	9	3	3	NUM
ejpam-6626	169	10	)	)	PUNCT
ejpam-6626	169	11	(	(	PUNCT
ejpam-6626	169	12	2025	2025	NUM
ejpam-6626	169	13	)	)	PUNCT
ejpam-6626	169	14	,	,	PUNCT
ejpam-6626	169	15	6626	6626	NUM
ejpam-6626	169	16	10	10	NUM
ejpam-6626	169	17	of	of	ADP
ejpam-6626	169	18	24	24	NUM
ejpam-6626	169	19	subjected	subject	VERB
ejpam-6626	169	20	to	to	ADP
ejpam-6626	169	21	the	the	DET
ejpam-6626	169	22	initial	initial	ADJ
ejpam-6626	169	23	conditions	condition	NOUN
ejpam-6626	169	24	g(0	g(0	NOUN
ejpam-6626	169	25	,	,	PUNCT
ejpam-6626	169	26	x	x	NOUN
ejpam-6626	169	27	)	)	PUNCT
ejpam-6626	169	28	=	=	SYM
ejpam-6626	169	29	1	1	NUM
ejpam-6626	169	30	2	2	NUM
ejpam-6626	169	31	−	−	NUM
ejpam-6626	169	32	8tanh(−2	8tanh(−2	NUM
ejpam-6626	169	33	xβ	xβ	ADV
ejpam-6626	170	1	γ(β	γ(β	PROPN
ejpam-6626	170	2	+	+	CCONJ
ejpam-6626	170	3	1	1	NUM
ejpam-6626	170	4	)	)	PUNCT
ejpam-6626	170	5	)	)	PUNCT
ejpam-6626	170	6	,	,	PUNCT
ejpam-6626	170	7	h(0	h(0	PROPN
ejpam-6626	170	8	,	,	PUNCT
ejpam-6626	170	9	x	x	NOUN
ejpam-6626	170	10	)	)	PUNCT
ejpam-6626	171	1	=	=	SYM
ejpam-6626	171	2	16−	16−	NUM
ejpam-6626	171	3	16tanh2(−2	16tanh2(−2	NUM
ejpam-6626	171	4	xβ	xβ	ADP
ejpam-6626	171	5	γ(β	γ(β	PROPN
ejpam-6626	171	6	+	+	CCONJ
ejpam-6626	171	7	1	1	NUM
ejpam-6626	171	8	)	)	PUNCT
ejpam-6626	171	9	)	)	PUNCT
ejpam-6626	171	10	(	(	PUNCT
ejpam-6626	171	11	4.2	4.2	NUM
ejpam-6626	171	12	)	)	PUNCT
ejpam-6626	171	13	where	where	SCONJ
ejpam-6626	171	14	t	t	NOUN
ejpam-6626	171	15	,	,	PUNCT
ejpam-6626	171	16	x	x	X
ejpam-6626	171	17	≥	≥	NOUN
ejpam-6626	171	18	0	0	NUM
ejpam-6626	171	19	and	and	CCONJ
ejpam-6626	171	20	0	0	NUM
ejpam-6626	171	21	<	<	X
ejpam-6626	171	22	γ	γ	X
ejpam-6626	171	23	,	,	PUNCT
ejpam-6626	171	24	β	β	X
ejpam-6626	171	25	≤	≤	NUM
ejpam-6626	171	26	1	1	NUM
ejpam-6626	171	27	.	.	PUNCT
ejpam-6626	172	1	following	follow	VERB
ejpam-6626	172	2	the	the	DET
ejpam-6626	172	3	procedure	procedure	NOUN
ejpam-6626	172	4	defined	define	VERB
ejpam-6626	172	5	in	in	ADP
ejpam-6626	172	6	section	section	NOUN
ejpam-6626	172	7	3.1	3.1	NUM
ejpam-6626	172	8	provides	provide	VERB
ejpam-6626	172	9	us	we	PRON
ejpam-6626	172	10	with	with	ADP
ejpam-6626	172	11	the	the	DET
ejpam-6626	172	12	components	component	NOUN
ejpam-6626	172	13	that	that	PRON
ejpam-6626	172	14	follows	follow	VERB
ejpam-6626	172	15	:	:	PUNCT
ejpam-6626	172	16			PROPN
ejpam-6626	172	17	g0(t	g0(t	PROPN
ejpam-6626	172	18	,	,	PUNCT
ejpam-6626	172	19	x	x	X
ejpam-6626	172	20	)	)	PUNCT
ejpam-6626	172	21	=	=	SYM
ejpam-6626	172	22	1	1	NUM
ejpam-6626	172	23	2	2	NUM
ejpam-6626	172	24	−	−	NUM
ejpam-6626	172	25	8tanh(−2	8tanh(−2	NUM
ejpam-6626	172	26	xβ	xβ	ADV
ejpam-6626	173	1	γ(β	γ(β	PROPN
ejpam-6626	173	2	+	+	CCONJ
ejpam-6626	173	3	1	1	NUM
ejpam-6626	173	4	)	)	PUNCT
ejpam-6626	173	5	)	)	PUNCT
ejpam-6626	173	6	,	,	PUNCT
ejpam-6626	173	7	h0(t	h0(t	PROPN
ejpam-6626	173	8	,	,	PUNCT
ejpam-6626	173	9	x	x	NOUN
ejpam-6626	173	10	)	)	PUNCT
ejpam-6626	173	11	=	=	SYM
ejpam-6626	173	12	16−	16−	NUM
ejpam-6626	173	13	16tanh2(−2	16tanh2(−2	NUM
ejpam-6626	173	14	xβ	xβ	ADP
ejpam-6626	173	15	γ(β	γ(β	PROPN
ejpam-6626	173	16	+	+	CCONJ
ejpam-6626	173	17	1	1	NUM
ejpam-6626	173	18	)	)	PUNCT
ejpam-6626	173	19	)	)	PUNCT
ejpam-6626	173	20	,	,	PUNCT
ejpam-6626	173	21	(	(	PUNCT
ejpam-6626	173	22	4.3	4.3	NUM
ejpam-6626	173	23	)	)	PUNCT
ejpam-6626	173	24			PROPN
ejpam-6626	173	25	g1(t	g1(t	NOUN
ejpam-6626	173	26	,	,	PUNCT
ejpam-6626	173	27	x	x	NOUN
ejpam-6626	173	28	)	)	PUNCT
ejpam-6626	173	29	=	=	PUNCT
ejpam-6626	173	30	−8sech2(−2	−8sech2(−2	NOUN
ejpam-6626	174	1	xβ	xβ	ADV
ejpam-6626	174	2	γ(β	γ(β	PROPN
ejpam-6626	175	1	+	+	CCONJ
ejpam-6626	176	1	1	1	NUM
ejpam-6626	176	2	)	)	PUNCT
ejpam-6626	176	3	)	)	PUNCT
ejpam-6626	177	1	tα	tα	PROPN
ejpam-6626	177	2	γ(γ	γ(γ	PROPN
ejpam-6626	178	1	+	+	CCONJ
ejpam-6626	178	2	1	1	NUM
ejpam-6626	178	3	)	)	PUNCT
ejpam-6626	178	4	,	,	PUNCT
ejpam-6626	178	5	h1(t	h1(t	PROPN
ejpam-6626	178	6	,	,	PUNCT
ejpam-6626	178	7	x	x	NOUN
ejpam-6626	178	8	)	)	PUNCT
ejpam-6626	179	1	=	=	SYM
ejpam-6626	179	2	−32sech2(−2	−32sech2(−2	PROPN
ejpam-6626	179	3	xβ	xβ	ADV
ejpam-6626	179	4	γ(β	γ(β	PROPN
ejpam-6626	179	5	+	+	CCONJ
ejpam-6626	179	6	1	1	NUM
ejpam-6626	179	7	)	)	PUNCT
ejpam-6626	179	8	)	)	PUNCT
ejpam-6626	180	1	tanh(−2	tanh(−2	PROPN
ejpam-6626	180	2	xβ	xβ	NOUN
ejpam-6626	180	3	γ(β	γ(β	PROPN
ejpam-6626	180	4	+	+	CCONJ
ejpam-6626	180	5	1	1	NUM
ejpam-6626	180	6	)	)	PUNCT
ejpam-6626	180	7	)	)	PUNCT
ejpam-6626	181	1	tγ	tγ	PROPN
ejpam-6626	181	2	γ(γ	γ(γ	PROPN
ejpam-6626	182	1	+	+	CCONJ
ejpam-6626	182	2	1	1	NUM
ejpam-6626	182	3	)	)	PUNCT
ejpam-6626	182	4	,	,	PUNCT
ejpam-6626	182	5	(	(	PUNCT
ejpam-6626	182	6	4.4	4.4	NUM
ejpam-6626	182	7	)	)	PUNCT
ejpam-6626	182	8			X
ejpam-6626	182	9	g2(t	g2(t	PROPN
ejpam-6626	182	10	,	,	PUNCT
ejpam-6626	182	11	x	x	X
ejpam-6626	182	12	)	)	PUNCT
ejpam-6626	182	13	=	=	SYM
ejpam-6626	183	1	16sech2(−2	16sech2(−2	NUM
ejpam-6626	183	2	xβ	xβ	ADV
ejpam-6626	183	3	γ(β	γ(β	PROPN
ejpam-6626	183	4	+	+	CCONJ
ejpam-6626	183	5	1	1	NUM
ejpam-6626	183	6	)	)	PUNCT
ejpam-6626	183	7	)	)	PUNCT
ejpam-6626	184	1	[	[	X
ejpam-6626	184	2	4sech2(−2	4sech2(−2	NUM
ejpam-6626	184	3	xβ	xβ	NOUN
ejpam-6626	184	4	γ(β	γ(β	PROPN
ejpam-6626	184	5	+	+	CCONJ
ejpam-6626	184	6	1	1	NUM
ejpam-6626	184	7	)	)	PUNCT
ejpam-6626	184	8	)	)	PUNCT
ejpam-6626	185	1	−	−	PROPN
ejpam-6626	186	1	8tanh2(−2	8tanh2(−2	NUM
ejpam-6626	186	2	xβ	xβ	NOUN
ejpam-6626	186	3	γ(β	γ(β	PROPN
ejpam-6626	186	4	+	+	CCONJ
ejpam-6626	186	5	1	1	NUM
ejpam-6626	186	6	)	)	PUNCT
ejpam-6626	186	7	)	)	PUNCT
ejpam-6626	186	8	+3tanh(−2	+3tanh(−2	ADP
ejpam-6626	186	9	xβ	xβ	NOUN
ejpam-6626	186	10	γ(1+β	γ(1+β	PROPN
ejpam-6626	186	11	)	)	PUNCT
ejpam-6626	186	12	)	)	PUNCT
ejpam-6626	186	13	]	]	PUNCT
ejpam-6626	186	14	t2γ	t2γ	PUNCT
ejpam-6626	187	1	γ(1	γ(1	VERB
ejpam-6626	187	2	+	+	NOUN
ejpam-6626	187	3	2γ	2γ	NOUN
ejpam-6626	187	4	)	)	PUNCT
ejpam-6626	187	5	,	,	PUNCT
ejpam-6626	187	6	h2(t	h2(t	PROPN
ejpam-6626	187	7	,	,	PUNCT
ejpam-6626	187	8	x	x	NOUN
ejpam-6626	187	9	)	)	PUNCT
ejpam-6626	187	10	=	=	SYM
ejpam-6626	187	11	−32sech2(−2	−32sech2(−2	PROPN
ejpam-6626	187	12	xβ	xβ	ADV
ejpam-6626	187	13	γ(β	γ(β	PROPN
ejpam-6626	187	14	+	+	CCONJ
ejpam-6626	187	15	1	1	NUM
ejpam-6626	187	16	)	)	PUNCT
ejpam-6626	187	17	)	)	PUNCT
ejpam-6626	188	1	[	[	X
ejpam-6626	188	2	−25sech2(−2	−25sech2(−2	NOUN
ejpam-6626	188	3	xβ	xβ	VERB
ejpam-6626	188	4	γ(β	γ(β	PROPN
ejpam-6626	188	5	+	+	CCONJ
ejpam-6626	188	6	1	1	NUM
ejpam-6626	188	7	)	)	PUNCT
ejpam-6626	188	8	)	)	PUNCT
ejpam-6626	189	1	+	+	CCONJ
ejpam-6626	190	1	40sech2(−2	40sech2(−2	NUM
ejpam-6626	190	2	xβ	xβ	ADV
ejpam-6626	190	3	γ(β	γ(β	PROPN
ejpam-6626	190	4	+	+	CCONJ
ejpam-6626	190	5	1	1	NUM
ejpam-6626	190	6	)	)	PUNCT
ejpam-6626	190	7	)	)	PUNCT
ejpam-6626	190	8	tanh(−2	tanh(−2	PROPN
ejpam-6626	190	9	xβ	xβ	NOUN
ejpam-6626	190	10	γ(β	γ(β	PROPN
ejpam-6626	190	11	+	+	CCONJ
ejpam-6626	190	12	1	1	NUM
ejpam-6626	190	13	)	)	PUNCT
ejpam-6626	190	14	)	)	PUNCT
ejpam-6626	191	1	−2tanh2(−2	−2tanh2(−2	PROPN
ejpam-6626	191	2	xβ	xβ	VERB
ejpam-6626	192	1	γ(β+1))−	γ(β+1))−	NOUN
ejpam-6626	192	2	32tanh3(−2	32tanh3(−2	NUM
ejpam-6626	192	3	xβ	xβ	ADV
ejpam-6626	192	4	γ(β+1	γ(β+1	NUM
ejpam-6626	192	5	)	)	PUNCT
ejpam-6626	192	6	)	)	PUNCT
ejpam-6626	193	1	+	+	CCONJ
ejpam-6626	193	2	96tanh(−2	96tanh(−2	NUM
ejpam-6626	193	3	xβ	xβ	ADV
ejpam-6626	193	4	γ(β+1	γ(β+1	NUM
ejpam-6626	193	5	)	)	PUNCT
ejpam-6626	193	6	)	)	PUNCT
ejpam-6626	193	7	]	]	PUNCT
ejpam-6626	193	8	t2γ	t2γ	X
ejpam-6626	193	9	γ(2γ+1	γ(2γ+1	ADJ
ejpam-6626	193	10	)	)	PUNCT
ejpam-6626	193	11	.	.	PUNCT
ejpam-6626	194	1	(	(	PUNCT
ejpam-6626	194	2	4.5	4.5	NUM
ejpam-6626	194	3	)	)	PUNCT
ejpam-6626	194	4	the	the	DET
ejpam-6626	194	5	other	other	ADJ
ejpam-6626	194	6	iterative	iterative	NOUN
ejpam-6626	194	7	terms	term	NOUN
ejpam-6626	194	8	can	can	AUX
ejpam-6626	194	9	be	be	AUX
ejpam-6626	194	10	employed	employ	VERB
ejpam-6626	194	11	in	in	ADP
ejpam-6626	194	12	precisely	precisely	ADV
ejpam-6626	194	13	the	the	DET
ejpam-6626	194	14	same	same	ADJ
ejpam-6626	194	15	manner	manner	NOUN
ejpam-6626	194	16	.	.	PUNCT
ejpam-6626	195	1	the	the	DET
ejpam-6626	195	2	solutions	solution	NOUN
ejpam-6626	195	3	are	be	AUX
ejpam-6626	195	4	defined	define	VERB
ejpam-6626	195	5	by	by	ADP
ejpam-6626	195	6	g(t	g(t	PROPN
ejpam-6626	195	7	,	,	PUNCT
ejpam-6626	195	8	x	x	X
ejpam-6626	195	9	)	)	PUNCT
ejpam-6626	195	10	=	=	SYM
ejpam-6626	195	11	g0(t	g0(t	PROPN
ejpam-6626	195	12	,	,	PUNCT
ejpam-6626	195	13	x	x	X
ejpam-6626	195	14	)	)	PUNCT
ejpam-6626	196	1	+	+	CCONJ
ejpam-6626	196	2	g1(t	g1(t	PROPN
ejpam-6626	196	3	,	,	PUNCT
ejpam-6626	196	4	x	x	NOUN
ejpam-6626	196	5	)	)	PUNCT
ejpam-6626	196	6	+	+	CCONJ
ejpam-6626	197	1	g2(t	g2(t	PROPN
ejpam-6626	197	2	,	,	PUNCT
ejpam-6626	197	3	x	x	NOUN
ejpam-6626	197	4	)	)	PUNCT
ejpam-6626	198	1	+	+	CCONJ
ejpam-6626	198	2	g3(t	g3(t	NUM
ejpam-6626	198	3	,	,	PUNCT
ejpam-6626	198	4	x	x	PRON
ejpam-6626	198	5	)	)	PUNCT
ejpam-6626	198	6	+	+	CCONJ
ejpam-6626	198	7	...	...	PUNCT
ejpam-6626	198	8	,	,	PUNCT
ejpam-6626	198	9	h(t	h(t	PROPN
ejpam-6626	198	10	,	,	PUNCT
ejpam-6626	198	11	x	x	X
ejpam-6626	198	12	)	)	PUNCT
ejpam-6626	198	13	=	=	SYM
ejpam-6626	198	14	h0(t	h0(t	PROPN
ejpam-6626	198	15	,	,	PUNCT
ejpam-6626	198	16	x	x	NOUN
ejpam-6626	198	17	)	)	PUNCT
ejpam-6626	199	1	+	+	CCONJ
ejpam-6626	199	2	h1(t	h1(t	ADV
ejpam-6626	199	3	,	,	PUNCT
ejpam-6626	199	4	x	x	NOUN
ejpam-6626	199	5	)	)	PUNCT
ejpam-6626	200	1	+	+	CCONJ
ejpam-6626	200	2	h2(t	h2(t	PROPN
ejpam-6626	200	3	,	,	PUNCT
ejpam-6626	200	4	x	x	PRON
ejpam-6626	200	5	)	)	PUNCT
ejpam-6626	200	6	+	+	CCONJ
ejpam-6626	201	1	h3(t	h3(t	PROPN
ejpam-6626	201	2	,	,	PUNCT
ejpam-6626	201	3	x	x	PRON
ejpam-6626	201	4	)	)	PUNCT
ejpam-6626	202	1	+	+	CCONJ
ejpam-6626	202	2	....	....	PUNCT
ejpam-6626	202	3	(	(	PUNCT
ejpam-6626	202	4	4.6	4.6	X
ejpam-6626	202	5	)	)	PUNCT
ejpam-6626	202	6	we	we	PRON
ejpam-6626	202	7	achieve	achieve	VERB
ejpam-6626	202	8	the	the	DET
ejpam-6626	202	9	following	follow	VERB
ejpam-6626	202	10	desired	desire	VERB
ejpam-6626	202	11	solutions	solution	NOUN
ejpam-6626	202	12	:	:	PUNCT
ejpam-6626	202	13	g(t	g(t	PROPN
ejpam-6626	202	14	,	,	PUNCT
ejpam-6626	202	15	x	x	X
ejpam-6626	202	16	)	)	PUNCT
ejpam-6626	202	17	=	=	SYM
ejpam-6626	202	18	1	1	NUM
ejpam-6626	202	19	2	2	NUM
ejpam-6626	202	20	−	−	NUM
ejpam-6626	202	21	8tanh(−2	8tanh(−2	NUM
ejpam-6626	202	22	xβ	xβ	NUM
ejpam-6626	203	1	γ(1	γ(1	PROPN
ejpam-6626	203	2	+	+	NUM
ejpam-6626	203	3	β	β	NOUN
ejpam-6626	203	4	)	)	PUNCT
ejpam-6626	203	5	)	)	PUNCT
ejpam-6626	204	1	−	−	PROPN
ejpam-6626	205	1	8sech2(−2	8sech2(−2	NUM
ejpam-6626	205	2	xβ	xβ	NUM
ejpam-6626	206	1	γ(1	γ(1	PROPN
ejpam-6626	206	2	+	+	NUM
ejpam-6626	206	3	β	β	X
ejpam-6626	206	4	)	)	PUNCT
ejpam-6626	206	5	)	)	PUNCT
ejpam-6626	207	1	tγ	tγ	PROPN
ejpam-6626	207	2	γ(γ	γ(γ	PROPN
ejpam-6626	208	1	+	+	CCONJ
ejpam-6626	208	2	1	1	X
ejpam-6626	208	3	)	)	PUNCT
ejpam-6626	208	4	+16sech2(−2	+16sech2(−2	PRON
ejpam-6626	208	5	xβ	xβ	ADV
ejpam-6626	209	1	γ(1	γ(1	NOUN
ejpam-6626	209	2	+	+	NUM
ejpam-6626	209	3	β	β	NOUN
ejpam-6626	209	4	)	)	PUNCT
ejpam-6626	209	5	)	)	PUNCT
ejpam-6626	210	1	[	[	X
ejpam-6626	210	2	4sech2(−2	4sech2(−2	NUM
ejpam-6626	210	3	xβ	xβ	VERB
ejpam-6626	211	1	γ(1	γ(1	NOUN
ejpam-6626	211	2	+	+	NUM
ejpam-6626	211	3	β	β	NOUN
ejpam-6626	211	4	)	)	PUNCT
ejpam-6626	211	5	)	)	PUNCT
ejpam-6626	211	6	−8tanh2(−2	−8tanh2(−2	PROPN
ejpam-6626	211	7	xβ	xβ	ADV
ejpam-6626	212	1	γ(β	γ(β	PROPN
ejpam-6626	212	2	+	+	CCONJ
ejpam-6626	212	3	1	1	NUM
ejpam-6626	212	4	)	)	PUNCT
ejpam-6626	212	5	)	)	PUNCT
ejpam-6626	213	1	+3tanh(−2	+3tanh(−2	ADP
ejpam-6626	213	2	xβ	xβ	VERB
ejpam-6626	213	3	γ(β	γ(β	PROPN
ejpam-6626	213	4	+	+	CCONJ
ejpam-6626	213	5	1	1	NUM
ejpam-6626	213	6	)	)	PUNCT
ejpam-6626	213	7	)	)	PUNCT
ejpam-6626	213	8	]	]	PUNCT
ejpam-6626	213	9	t2γ	t2γ	PUNCT
ejpam-6626	214	1	γ(2γ	γ(2γ	NOUN
ejpam-6626	214	2	+	+	NOUN
ejpam-6626	214	3	1	1	X
ejpam-6626	214	4	)	)	PUNCT
ejpam-6626	214	5	+	+	PROPN
ejpam-6626	214	6	.	.	PUNCT
ejpam-6626	214	7	.	.	PUNCT
ejpam-6626	214	8	.	.	PUNCT
ejpam-6626	215	1	(	(	PUNCT
ejpam-6626	215	2	4.7	4.7	NUM
ejpam-6626	215	3	)	)	PUNCT
ejpam-6626	215	4	i.	i.	PROPN
ejpam-6626	215	5	kadri	kadri	PROPN
ejpam-6626	215	6	et	et	PROPN
ejpam-6626	215	7	al	al	PROPN
ejpam-6626	215	8	.	.	PUNCT
ejpam-6626	215	9	/	/	SYM
ejpam-6626	215	10	eur	eur	PROPN
ejpam-6626	215	11	.	.	PUNCT
ejpam-6626	216	1	j.	j.	PROPN
ejpam-6626	216	2	pure	pure	PROPN
ejpam-6626	216	3	appl	appl	PROPN
ejpam-6626	216	4	.	.	PROPN
ejpam-6626	216	5	math	math	PROPN
ejpam-6626	216	6	,	,	PUNCT
ejpam-6626	216	7	18	18	NUM
ejpam-6626	216	8	(	(	PUNCT
ejpam-6626	216	9	3	3	NUM
ejpam-6626	216	10	)	)	PUNCT
ejpam-6626	216	11	(	(	PUNCT
ejpam-6626	216	12	2025	2025	NUM
ejpam-6626	216	13	)	)	PUNCT
ejpam-6626	216	14	,	,	PUNCT
ejpam-6626	216	15	6626	6626	NUM
ejpam-6626	216	16	11	11	NUM
ejpam-6626	216	17	of	of	ADP
ejpam-6626	216	18	24	24	NUM
ejpam-6626	216	19	h(t	h(t	PROPN
ejpam-6626	216	20	,	,	PUNCT
ejpam-6626	216	21	x	x	X
ejpam-6626	216	22	)	)	PUNCT
ejpam-6626	216	23	=	=	SYM
ejpam-6626	216	24	16−	16−	NUM
ejpam-6626	216	25	16tanh2(−2	16tanh2(−2	NUM
ejpam-6626	216	26	xβ	xβ	ADP
ejpam-6626	217	1	γ(1	γ(1	PROPN
ejpam-6626	217	2	+	+	NUM
ejpam-6626	217	3	β	β	NOUN
ejpam-6626	217	4	)	)	PUNCT
ejpam-6626	217	5	)	)	PUNCT
ejpam-6626	218	1	−	−	PROPN
ejpam-6626	219	1	32sech2(−2	32sech2(−2	NUM
ejpam-6626	219	2	xβ	xβ	ADP
ejpam-6626	220	1	γ(1	γ(1	PROPN
ejpam-6626	220	2	+	+	NUM
ejpam-6626	220	3	β	β	NOUN
ejpam-6626	220	4	)	)	PUNCT
ejpam-6626	220	5	)	)	PUNCT
ejpam-6626	220	6	tanh(−2	tanh(−2	PROPN
ejpam-6626	221	1	xβ	xβ	NOUN
ejpam-6626	222	1	γ(1	γ(1	PROPN
ejpam-6626	222	2	+	+	NUM
ejpam-6626	222	3	β	β	X
ejpam-6626	222	4	)	)	PUNCT
ejpam-6626	222	5	)	)	PUNCT
ejpam-6626	223	1	tγ	tγ	PROPN
ejpam-6626	224	1	γ(1	γ(1	PROPN
ejpam-6626	224	2	+	+	NUM
ejpam-6626	224	3	γ	γ	X
ejpam-6626	224	4	)	)	PUNCT
ejpam-6626	224	5	−32sech2(−2	−32sech2(−2	PROPN
ejpam-6626	224	6	xβ	xβ	PUNCT
ejpam-6626	225	1	γ(1	γ(1	NOUN
ejpam-6626	225	2	+	+	NUM
ejpam-6626	225	3	β	β	NOUN
ejpam-6626	225	4	)	)	PUNCT
ejpam-6626	225	5	)	)	PUNCT
ejpam-6626	226	1	[	[	X
ejpam-6626	226	2	−25sech2(−2	−25sech2(−2	NOUN
ejpam-6626	226	3	xβ	xβ	VERB
ejpam-6626	226	4	γ(β	γ(β	PROPN
ejpam-6626	226	5	+	+	CCONJ
ejpam-6626	226	6	1	1	NUM
ejpam-6626	226	7	)	)	PUNCT
ejpam-6626	226	8	)	)	PUNCT
ejpam-6626	226	9	+40sech2(−2	+40sech2(−2	PART
ejpam-6626	227	1	xβ	xβ	ADV
ejpam-6626	227	2	γ(β	γ(β	PROPN
ejpam-6626	228	1	+	+	CCONJ
ejpam-6626	229	1	1	1	NUM
ejpam-6626	229	2	)	)	PUNCT
ejpam-6626	229	3	)	)	PUNCT
ejpam-6626	230	1	tanh(−2	tanh(−2	PROPN
ejpam-6626	230	2	xβ	xβ	NOUN
ejpam-6626	230	3	γ(β	γ(β	PROPN
ejpam-6626	230	4	+	+	CCONJ
ejpam-6626	230	5	1	1	NUM
ejpam-6626	230	6	)	)	PUNCT
ejpam-6626	230	7	)	)	PUNCT
ejpam-6626	231	1	−2tanh2(−2	−2tanh2(−2	PROPN
ejpam-6626	231	2	xβ	xβ	VERB
ejpam-6626	232	1	γ(β	γ(β	PROPN
ejpam-6626	232	2	+	+	CCONJ
ejpam-6626	232	3	1	1	NUM
ejpam-6626	232	4	)	)	PUNCT
ejpam-6626	232	5	)	)	PUNCT
ejpam-6626	233	1	−	−	PROPN
ejpam-6626	234	1	32tanh3(−2	32tanh3(−2	NUM
ejpam-6626	234	2	xβ	xβ	ADV
ejpam-6626	234	3	γ(β	γ(β	PROPN
ejpam-6626	234	4	+	+	CCONJ
ejpam-6626	234	5	1	1	NUM
ejpam-6626	234	6	)	)	PUNCT
ejpam-6626	234	7	)	)	PUNCT
ejpam-6626	235	1	+	+	CCONJ
ejpam-6626	235	2	96tanh(−2	96tanh(−2	NUM
ejpam-6626	235	3	xβ	xβ	X
ejpam-6626	236	1	γ(1	γ(1	PROPN
ejpam-6626	236	2	+	+	NUM
ejpam-6626	236	3	β	β	NOUN
ejpam-6626	236	4	)	)	PUNCT
ejpam-6626	236	5	)	)	PUNCT
ejpam-6626	236	6	]	]	PUNCT
ejpam-6626	236	7	t2γ	t2γ	X
ejpam-6626	237	1	γ(1	γ(1	X
ejpam-6626	237	2	+	+	NUM
ejpam-6626	237	3	2γ	2γ	NOUN
ejpam-6626	237	4	)	)	PUNCT
ejpam-6626	238	1	+	+	CCONJ
ejpam-6626	238	2	.	.	PUNCT
ejpam-6626	238	3	.	.	PUNCT
ejpam-6626	239	1	.	.	PUNCT
ejpam-6626	240	1	(	(	PUNCT
ejpam-6626	240	2	4.8	4.8	NUM
ejpam-6626	240	3	)	)	PUNCT
ejpam-6626	240	4	after	after	ADP
ejpam-6626	240	5	obtaining	obtain	VERB
ejpam-6626	240	6	the	the	DET
ejpam-6626	240	7	approximate	approximate	ADJ
ejpam-6626	240	8	solutions	solution	NOUN
ejpam-6626	240	9	of	of	ADP
ejpam-6626	240	10	the	the	DET
ejpam-6626	240	11	considered	consider	VERB
ejpam-6626	240	12	system	system	NOUN
ejpam-6626	240	13	,	,	PUNCT
ejpam-6626	240	14	they	they	PRON
ejpam-6626	240	15	are	be	AUX
ejpam-6626	240	16	represented	represent	VERB
ejpam-6626	240	17	in	in	ADP
ejpam-6626	240	18	3d	3d	NUM
ejpam-6626	240	19	for	for	ADP
ejpam-6626	240	20	various	various	ADJ
ejpam-6626	240	21	values	value	NOUN
ejpam-6626	240	22	of	of	ADP
ejpam-6626	240	23	the	the	DET
ejpam-6626	240	24	fractional	fractional	ADJ
ejpam-6626	240	25	derivatives	derivative	NOUN
ejpam-6626	240	26	γ	γ	NOUN
ejpam-6626	240	27	and	and	CCONJ
ejpam-6626	240	28	β	β	X
ejpam-6626	240	29	.	.	PUNCT
ejpam-6626	241	1	the	the	DET
ejpam-6626	241	2	surface	surface	NOUN
ejpam-6626	241	3	plots	plot	NOUN
ejpam-6626	241	4	can	can	AUX
ejpam-6626	241	5	be	be	AUX
ejpam-6626	241	6	seen	see	VERB
ejpam-6626	241	7	in	in	ADP
ejpam-6626	241	8	fig	fig	NOUN
ejpam-6626	241	9	.	.	PUNCT
ejpam-6626	242	1	(	(	PUNCT
ejpam-6626	242	2	1)-(2	1)-(2	NUM
ejpam-6626	242	3	)	)	PUNCT
ejpam-6626	242	4	.	.	PUNCT
ejpam-6626	243	1	(	(	PUNCT
ejpam-6626	243	2	a	a	X
ejpam-6626	243	3	)	)	PUNCT
ejpam-6626	243	4	(	(	PUNCT
ejpam-6626	243	5	b	b	X
ejpam-6626	243	6	)	)	PUNCT
ejpam-6626	243	7	(	(	PUNCT
ejpam-6626	243	8	c	c	X
ejpam-6626	243	9	)	)	PUNCT
ejpam-6626	243	10	figure	figure	NOUN
ejpam-6626	243	11	1	1	NUM
ejpam-6626	243	12	:	:	PUNCT
ejpam-6626	243	13	the	the	DET
ejpam-6626	243	14	approximate	approximate	ADJ
ejpam-6626	243	15	solution	solution	NOUN
ejpam-6626	243	16	g	g	PROPN
ejpam-6626	243	17	of	of	ADP
ejpam-6626	243	18	the	the	DET
ejpam-6626	243	19	problem	problem	NOUN
ejpam-6626	243	20	(	(	PUNCT
ejpam-6626	243	21	4.1	4.1	NUM
ejpam-6626	243	22	-	-	SYM
ejpam-6626	243	23	4.2	4.2	NUM
ejpam-6626	243	24	)	)	PUNCT
ejpam-6626	243	25	for	for	ADP
ejpam-6626	243	26	γ	γ	X
ejpam-6626	243	27	=	=	SYM
ejpam-6626	243	28	β	β	X
ejpam-6626	243	29	=	=	SYM
ejpam-6626	243	30	0.35	0.35	NUM
ejpam-6626	243	31	,	,	PUNCT
ejpam-6626	243	32	0.7	0.7	NUM
ejpam-6626	243	33	,	,	PUNCT
ejpam-6626	243	34	and	and	CCONJ
ejpam-6626	243	35	0.95	0.95	NUM
ejpam-6626	243	36	(	(	PUNCT
ejpam-6626	243	37	a	a	NOUN
ejpam-6626	243	38	)	)	PUNCT
ejpam-6626	243	39	(	(	PUNCT
ejpam-6626	243	40	b	b	X
ejpam-6626	243	41	)	)	PUNCT
ejpam-6626	243	42	(	(	PUNCT
ejpam-6626	243	43	d	d	X
ejpam-6626	243	44	)	)	PUNCT
ejpam-6626	243	45	figure	figure	NOUN
ejpam-6626	243	46	2	2	NUM
ejpam-6626	243	47	:	:	PUNCT
ejpam-6626	243	48	the	the	DET
ejpam-6626	243	49	approximate	approximate	ADJ
ejpam-6626	243	50	solution	solution	NOUN
ejpam-6626	243	51	h	h	NOUN
ejpam-6626	243	52	of	of	ADP
ejpam-6626	243	53	the	the	DET
ejpam-6626	243	54	problem	problem	NOUN
ejpam-6626	243	55	(	(	PUNCT
ejpam-6626	243	56	4.1	4.1	NUM
ejpam-6626	243	57	-	-	SYM
ejpam-6626	243	58	4.2	4.2	NUM
ejpam-6626	243	59	)	)	PUNCT
ejpam-6626	243	60	for	for	ADP
ejpam-6626	243	61	γ	γ	X
ejpam-6626	243	62	=	=	SYM
ejpam-6626	243	63	β	β	X
ejpam-6626	243	64	=	=	SYM
ejpam-6626	243	65	0.35	0.35	NUM
ejpam-6626	243	66	,	,	PUNCT
ejpam-6626	243	67	0.7	0.7	NUM
ejpam-6626	243	68	,	,	PUNCT
ejpam-6626	243	69	and	and	CCONJ
ejpam-6626	243	70	0.95	0.95	NUM
ejpam-6626	243	71	furthermore	furthermore	ADV
ejpam-6626	243	72	,	,	PUNCT
ejpam-6626	243	73	the	the	DET
ejpam-6626	243	74	behavior	behavior	NOUN
ejpam-6626	243	75	of	of	ADP
ejpam-6626	243	76	the	the	DET
ejpam-6626	243	77	solutions	solution	NOUN
ejpam-6626	243	78	g	g	NOUN
ejpam-6626	243	79	and	and	CCONJ
ejpam-6626	243	80	h	h	NOUN
ejpam-6626	243	81	to	to	ADP
ejpam-6626	243	82	the	the	DET
ejpam-6626	243	83	problem	problem	NOUN
ejpam-6626	243	84	(	(	PUNCT
ejpam-6626	243	85	4.1	4.1	NUM
ejpam-6626	243	86	-	-	SYM
ejpam-6626	243	87	4.2	4.2	NUM
ejpam-6626	243	88	)	)	PUNCT
ejpam-6626	243	89	for	for	ADP
ejpam-6626	243	90	different	different	ADJ
ejpam-6626	243	91	values	value	NOUN
ejpam-6626	243	92	of	of	ADP
ejpam-6626	243	93	fractional	fractional	ADJ
ejpam-6626	243	94	derivatives	derivative	NOUN
ejpam-6626	243	95	are	be	AUX
ejpam-6626	243	96	also	also	ADV
ejpam-6626	243	97	represented	represent	VERB
ejpam-6626	243	98	in	in	ADP
ejpam-6626	243	99	2d	2d	NUM
ejpam-6626	243	100	as	as	SCONJ
ejpam-6626	243	101	follows	follow	VERB
ejpam-6626	243	102	.	.	PUNCT
ejpam-6626	244	1	i.	i.	PROPN
ejpam-6626	244	2	kadri	kadri	PROPN
ejpam-6626	244	3	et	et	PROPN
ejpam-6626	244	4	al	al	PROPN
ejpam-6626	244	5	.	.	PUNCT
ejpam-6626	244	6	/	/	SYM
ejpam-6626	244	7	eur	eur	PROPN
ejpam-6626	244	8	.	.	PUNCT
ejpam-6626	245	1	j.	j.	PROPN
ejpam-6626	245	2	pure	pure	PROPN
ejpam-6626	245	3	appl	appl	PROPN
ejpam-6626	245	4	.	.	PROPN
ejpam-6626	245	5	math	math	PROPN
ejpam-6626	245	6	,	,	PUNCT
ejpam-6626	245	7	18	18	NUM
ejpam-6626	245	8	(	(	PUNCT
ejpam-6626	245	9	3	3	NUM
ejpam-6626	245	10	)	)	PUNCT
ejpam-6626	245	11	(	(	PUNCT
ejpam-6626	245	12	2025	2025	NUM
ejpam-6626	245	13	)	)	PUNCT
ejpam-6626	245	14	,	,	PUNCT
ejpam-6626	245	15	6626	6626	NUM
ejpam-6626	245	16	12	12	NUM
ejpam-6626	245	17	of	of	ADP
ejpam-6626	245	18	24	24	NUM
ejpam-6626	245	19	(	(	PUNCT
ejpam-6626	245	20	a	a	NOUN
ejpam-6626	245	21	)	)	PUNCT
ejpam-6626	245	22	(	(	PUNCT
ejpam-6626	245	23	b	b	X
ejpam-6626	245	24	)	)	PUNCT
ejpam-6626	245	25	figure	figure	NOUN
ejpam-6626	245	26	3	3	NUM
ejpam-6626	245	27	:	:	PUNCT
ejpam-6626	245	28	the	the	DET
ejpam-6626	245	29	approximate	approximate	ADJ
ejpam-6626	245	30	solution	solution	NOUN
ejpam-6626	245	31	g	g	PROPN
ejpam-6626	245	32	and	and	CCONJ
ejpam-6626	245	33	h	h	NOUN
ejpam-6626	245	34	of	of	ADP
ejpam-6626	245	35	the	the	DET
ejpam-6626	245	36	problem	problem	NOUN
ejpam-6626	245	37	(	(	PUNCT
ejpam-6626	245	38	4.1	4.1	NUM
ejpam-6626	245	39	-	-	SYM
ejpam-6626	245	40	4.2	4.2	NUM
ejpam-6626	245	41	)	)	PUNCT
ejpam-6626	245	42	in	in	ADP
ejpam-6626	245	43	2d	2d	NUM
ejpam-6626	245	44	4.2	4.2	NUM
ejpam-6626	245	45	.	.	PUNCT
ejpam-6626	246	1	the	the	DET
ejpam-6626	246	2	time	time	NOUN
ejpam-6626	246	3	fractional	fractional	ADJ
ejpam-6626	246	4	wbk	wbk	NOUN
ejpam-6626	246	5	equations	equation	NOUN
ejpam-6626	246	6	in	in	ADP
ejpam-6626	246	7	atangana	atangana	PROPN
ejpam-6626	246	8	-	-	PUNCT
ejpam-6626	246	9	baleanu	baleanu	PROPN
ejpam-6626	246	10	-	-	PUNCT
ejpam-6626	246	11	caputo	caputo	NOUN
ejpam-6626	246	12	framework	framework	NOUN
ejpam-6626	246	13	.	.	PUNCT
ejpam-6626	247	1	taking	take	VERB
ejpam-6626	247	2	into	into	ADP
ejpam-6626	247	3	account	account	NOUN
ejpam-6626	247	4	the	the	DET
ejpam-6626	247	5	following	follow	VERB
ejpam-6626	247	6	atangana	atangana	PROPN
ejpam-6626	247	7	-	-	PUNCT
ejpam-6626	247	8	baleanu	baleanu	PROPN
ejpam-6626	247	9	-	-	PUNCT
ejpam-6626	247	10	caputo	caputo	NOUN
ejpam-6626	247	11	-	-	PUNCT
ejpam-6626	247	12	type	type	NOUN
ejpam-6626	247	13	time	time	NOUN
ejpam-6626	247	14	fractional	fractional	ADJ
ejpam-6626	247	15	wbk	wbk	NOUN
ejpam-6626	247	16	equations	equation	NOUN
ejpam-6626	247	17	∂γg	∂γg	NOUN
ejpam-6626	247	18	∂tγ	∂tγ	PROPN
ejpam-6626	247	19	+	+	CCONJ
ejpam-6626	247	20	g	g	NOUN
ejpam-6626	247	21	∂βg	∂βg	NOUN
ejpam-6626	247	22	∂xβ	∂xβ	NOUN
ejpam-6626	247	23	+	+	CCONJ
ejpam-6626	247	24	∂βh	∂βh	PROPN
ejpam-6626	247	25	∂xβ	∂xβ	PROPN
ejpam-6626	247	26	+	+	CCONJ
ejpam-6626	247	27	∂2βg	∂2βg	ADJ
ejpam-6626	247	28	∂x2β	∂x2β	NOUN
ejpam-6626	247	29	=	=	SYM
ejpam-6626	247	30	0	0	NUM
ejpam-6626	247	31	,	,	PUNCT
ejpam-6626	247	32	∂γh	∂γh	PROPN
ejpam-6626	247	33	∂tγ	∂tγ	PROPN
ejpam-6626	247	34	+	+	CCONJ
ejpam-6626	247	35	g	g	PROPN
ejpam-6626	247	36	∂βh	∂βh	PROPN
ejpam-6626	247	37	∂xβ	∂xβ	PROPN
ejpam-6626	247	38	+	+	CCONJ
ejpam-6626	247	39	h	h	NOUN
ejpam-6626	247	40	∂βg	∂βg	PROPN
ejpam-6626	247	41	∂xβ	∂xβ	NOUN
ejpam-6626	247	42	+	+	CCONJ
ejpam-6626	247	43	3	3	NUM
ejpam-6626	247	44	∂3βg	∂3βg	NOUN
ejpam-6626	247	45	∂x3β	∂x3β	ADP
ejpam-6626	247	46	−	−	PROPN
ejpam-6626	247	47	∂2βg	∂2βg	NOUN
ejpam-6626	247	48	∂x2β	∂x2β	NOUN
ejpam-6626	247	49	=	=	SYM
ejpam-6626	247	50	0	0	NUM
ejpam-6626	247	51	,	,	PUNCT
ejpam-6626	247	52	(	(	PUNCT
ejpam-6626	247	53	4.9	4.9	NUM
ejpam-6626	247	54	)	)	PUNCT
ejpam-6626	247	55	subjected	subject	VERB
ejpam-6626	247	56	to	to	ADP
ejpam-6626	247	57	the	the	DET
ejpam-6626	247	58	initial	initial	ADJ
ejpam-6626	247	59	conditions	condition	NOUN
ejpam-6626	247	60	g(0	g(0	NOUN
ejpam-6626	247	61	,	,	PUNCT
ejpam-6626	247	62	x	x	NOUN
ejpam-6626	247	63	)	)	PUNCT
ejpam-6626	247	64	=	=	SYM
ejpam-6626	247	65	1	1	NUM
ejpam-6626	247	66	2	2	NUM
ejpam-6626	247	67	−	−	NUM
ejpam-6626	247	68	8tanh(−2	8tanh(−2	NUM
ejpam-6626	247	69	xβ	xβ	ADV
ejpam-6626	248	1	γ(β	γ(β	PROPN
ejpam-6626	248	2	+	+	CCONJ
ejpam-6626	248	3	1	1	NUM
ejpam-6626	248	4	)	)	PUNCT
ejpam-6626	248	5	)	)	PUNCT
ejpam-6626	248	6	,	,	PUNCT
ejpam-6626	248	7	h(0	h(0	PROPN
ejpam-6626	248	8	,	,	PUNCT
ejpam-6626	248	9	x	x	NOUN
ejpam-6626	248	10	)	)	PUNCT
ejpam-6626	249	1	=	=	SYM
ejpam-6626	249	2	16−	16−	NUM
ejpam-6626	249	3	16tanh2(−2	16tanh2(−2	NUM
ejpam-6626	249	4	xβ	xβ	ADP
ejpam-6626	249	5	γ(β	γ(β	PROPN
ejpam-6626	249	6	+	+	CCONJ
ejpam-6626	249	7	1	1	NUM
ejpam-6626	249	8	)	)	PUNCT
ejpam-6626	249	9	)	)	PUNCT
ejpam-6626	249	10	(	(	PUNCT
ejpam-6626	249	11	4.10	4.10	NUM
ejpam-6626	249	12	)	)	PUNCT
ejpam-6626	249	13	where	where	SCONJ
ejpam-6626	249	14	t	t	NOUN
ejpam-6626	249	15	,	,	PUNCT
ejpam-6626	249	16	x	x	X
ejpam-6626	249	17	≥	≥	NOUN
ejpam-6626	249	18	0	0	NUM
ejpam-6626	249	19	and	and	CCONJ
ejpam-6626	249	20	0	0	NUM
ejpam-6626	249	21	<	<	X
ejpam-6626	249	22	γ	γ	X
ejpam-6626	249	23	,	,	PUNCT
ejpam-6626	249	24	β	β	X
ejpam-6626	249	25	≤	≤	NUM
ejpam-6626	249	26	1	1	NUM
ejpam-6626	249	27	.	.	PUNCT
ejpam-6626	250	1	following	follow	VERB
ejpam-6626	250	2	the	the	DET
ejpam-6626	250	3	procedure	procedure	NOUN
ejpam-6626	250	4	defined	define	VERB
ejpam-6626	250	5	in	in	ADP
ejpam-6626	250	6	section	section	NOUN
ejpam-6626	250	7	3.2	3.2	NUM
ejpam-6626	250	8	provides	provide	VERB
ejpam-6626	250	9	us	we	PRON
ejpam-6626	250	10	with	with	ADP
ejpam-6626	250	11	the	the	DET
ejpam-6626	250	12	following	follow	VERB
ejpam-6626	250	13	components	component	NOUN
ejpam-6626	250	14	:	:	PUNCT
ejpam-6626	250	15			PROPN
ejpam-6626	250	16	g0(t	g0(t	PROPN
ejpam-6626	250	17	,	,	PUNCT
ejpam-6626	250	18	x	x	X
ejpam-6626	250	19	)	)	PUNCT
ejpam-6626	250	20	=	=	SYM
ejpam-6626	250	21	1	1	NUM
ejpam-6626	250	22	2	2	NUM
ejpam-6626	250	23	−	−	NUM
ejpam-6626	250	24	8tanh(−2	8tanh(−2	NUM
ejpam-6626	250	25	xβ	xβ	ADV
ejpam-6626	251	1	γ(β	γ(β	PROPN
ejpam-6626	251	2	+	+	CCONJ
ejpam-6626	251	3	1	1	NUM
ejpam-6626	251	4	)	)	PUNCT
ejpam-6626	251	5	)	)	PUNCT
ejpam-6626	251	6	,	,	PUNCT
ejpam-6626	251	7	h0(t	h0(t	PROPN
ejpam-6626	251	8	,	,	PUNCT
ejpam-6626	251	9	x	x	NOUN
ejpam-6626	251	10	)	)	PUNCT
ejpam-6626	251	11	=	=	SYM
ejpam-6626	251	12	16−	16−	NUM
ejpam-6626	251	13	16tanh2(−2	16tanh2(−2	NUM
ejpam-6626	251	14	xβ	xβ	ADP
ejpam-6626	251	15	γ(β	γ(β	PROPN
ejpam-6626	251	16	+	+	CCONJ
ejpam-6626	251	17	1	1	NUM
ejpam-6626	251	18	)	)	PUNCT
ejpam-6626	251	19	)	)	PUNCT
ejpam-6626	251	20	,	,	PUNCT
ejpam-6626	251	21	(	(	PUNCT
ejpam-6626	251	22	4.11	4.11	NUM
ejpam-6626	251	23	)	)	PUNCT
ejpam-6626	252	1			PROPN
ejpam-6626	252	2	g1(t	g1(t	NOUN
ejpam-6626	252	3	,	,	PUNCT
ejpam-6626	252	4	x	x	NOUN
ejpam-6626	252	5	)	)	PUNCT
ejpam-6626	252	6	=	=	PUNCT
ejpam-6626	252	7	−8sech2(−2	−8sech2(−2	NOUN
ejpam-6626	252	8	xβ	xβ	ADV
ejpam-6626	252	9	γ(β	γ(β	PROPN
ejpam-6626	252	10	+	+	CCONJ
ejpam-6626	252	11	1	1	NUM
ejpam-6626	252	12	)	)	PUNCT
ejpam-6626	252	13	)	)	PUNCT
ejpam-6626	252	14	1	1	NUM
ejpam-6626	252	15	m(γ	m(γ	NOUN
ejpam-6626	252	16	)	)	PUNCT
ejpam-6626	252	17	(	(	PUNCT
ejpam-6626	252	18	(	(	PUNCT
ejpam-6626	252	19	1−	1−	NUM
ejpam-6626	252	20	γ	γ	X
ejpam-6626	252	21	)	)	PUNCT
ejpam-6626	252	22	+	+	NUM
ejpam-6626	252	23	γtγ	γtγ	X
ejpam-6626	252	24	γ(γ	γ(γ	PROPN
ejpam-6626	252	25	+	+	CCONJ
ejpam-6626	252	26	1	1	NUM
ejpam-6626	252	27	)	)	PUNCT
ejpam-6626	252	28	)	)	PUNCT
ejpam-6626	252	29	,	,	PUNCT
ejpam-6626	252	30	h1(t	h1(t	PROPN
ejpam-6626	252	31	,	,	PUNCT
ejpam-6626	252	32	x	x	NOUN
ejpam-6626	252	33	)	)	PUNCT
ejpam-6626	252	34	=	=	SYM
ejpam-6626	253	1	−32sech2(−2	−32sech2(−2	PROPN
ejpam-6626	253	2	xβ	xβ	ADV
ejpam-6626	253	3	γ(β	γ(β	PROPN
ejpam-6626	253	4	+	+	CCONJ
ejpam-6626	253	5	1	1	NUM
ejpam-6626	253	6	)	)	PUNCT
ejpam-6626	253	7	)	)	PUNCT
ejpam-6626	254	1	tanh(−2	tanh(−2	PROPN
ejpam-6626	254	2	xβ	xβ	NOUN
ejpam-6626	254	3	γ(β	γ(β	PROPN
ejpam-6626	255	1	+	+	CCONJ
ejpam-6626	255	2	1	1	NUM
ejpam-6626	255	3	)	)	PUNCT
ejpam-6626	255	4	)	)	PUNCT
ejpam-6626	256	1	1	1	NUM
ejpam-6626	256	2	m(γ	m(γ	NOUN
ejpam-6626	256	3	)	)	PUNCT
ejpam-6626	256	4	(	(	PUNCT
ejpam-6626	256	5	(	(	PUNCT
ejpam-6626	256	6	1−	1−	NUM
ejpam-6626	256	7	γ	γ	X
ejpam-6626	256	8	)	)	PUNCT
ejpam-6626	257	1	+	+	NUM
ejpam-6626	257	2	γtγ	γtγ	X
ejpam-6626	257	3	γ(γ	γ(γ	PROPN
ejpam-6626	257	4	+	+	CCONJ
ejpam-6626	257	5	1	1	NUM
ejpam-6626	257	6	)	)	PUNCT
ejpam-6626	257	7	)	)	PUNCT
ejpam-6626	257	8	,	,	PUNCT
ejpam-6626	257	9	(	(	PUNCT
ejpam-6626	257	10	4.12	4.12	NUM
ejpam-6626	257	11	)	)	PUNCT
ejpam-6626	257	12	i.	i.	PROPN
ejpam-6626	257	13	kadri	kadri	PROPN
ejpam-6626	257	14	et	et	PROPN
ejpam-6626	257	15	al	al	PROPN
ejpam-6626	257	16	.	.	PUNCT
ejpam-6626	257	17	/	/	SYM
ejpam-6626	257	18	eur	eur	PROPN
ejpam-6626	257	19	.	.	PUNCT
ejpam-6626	258	1	j.	j.	PROPN
ejpam-6626	258	2	pure	pure	PROPN
ejpam-6626	258	3	appl	appl	PROPN
ejpam-6626	258	4	.	.	PROPN
ejpam-6626	258	5	math	math	PROPN
ejpam-6626	258	6	,	,	PUNCT
ejpam-6626	258	7	18	18	NUM
ejpam-6626	258	8	(	(	PUNCT
ejpam-6626	258	9	3	3	NUM
ejpam-6626	258	10	)	)	PUNCT
ejpam-6626	258	11	(	(	PUNCT
ejpam-6626	258	12	2025	2025	NUM
ejpam-6626	258	13	)	)	PUNCT
ejpam-6626	258	14	,	,	PUNCT
ejpam-6626	258	15	6626	6626	NUM
ejpam-6626	258	16	13	13	NUM
ejpam-6626	258	17	of	of	ADP
ejpam-6626	258	18	24	24	NUM
ejpam-6626	258	19			NUM
ejpam-6626	258	20	g2(t	g2(t	PROPN
ejpam-6626	258	21	,	,	PUNCT
ejpam-6626	258	22	x	x	NOUN
ejpam-6626	258	23	)	)	PUNCT
ejpam-6626	258	24	=	=	SYM
ejpam-6626	259	1	16sech2(−2	16sech2(−2	NUM
ejpam-6626	259	2	xβ	xβ	ADV
ejpam-6626	259	3	γ(β	γ(β	PROPN
ejpam-6626	259	4	+	+	CCONJ
ejpam-6626	259	5	1	1	NUM
ejpam-6626	259	6	)	)	PUNCT
ejpam-6626	259	7	)	)	PUNCT
ejpam-6626	260	1	[	[	X
ejpam-6626	260	2	4sech2(−2	4sech2(−2	NUM
ejpam-6626	260	3	xβ	xβ	NOUN
ejpam-6626	260	4	γ(β	γ(β	PROPN
ejpam-6626	260	5	+	+	CCONJ
ejpam-6626	260	6	1	1	NUM
ejpam-6626	260	7	)	)	PUNCT
ejpam-6626	260	8	)	)	PUNCT
ejpam-6626	261	1	−	−	PROPN
ejpam-6626	262	1	8tanh2(−2	8tanh2(−2	NUM
ejpam-6626	262	2	xβ	xβ	NOUN
ejpam-6626	262	3	γ(β	γ(β	PROPN
ejpam-6626	262	4	+	+	CCONJ
ejpam-6626	262	5	1	1	NUM
ejpam-6626	262	6	)	)	PUNCT
ejpam-6626	262	7	)	)	PUNCT
ejpam-6626	263	1	+3tanh(−2	+3tanh(−2	CCONJ
ejpam-6626	263	2	xβ	xβ	ADV
ejpam-6626	263	3	γ(β+1	γ(β+1	NUM
ejpam-6626	263	4	)	)	PUNCT
ejpam-6626	263	5	)	)	PUNCT
ejpam-6626	263	6	]	]	PUNCT
ejpam-6626	264	1	1	1	NUM
ejpam-6626	264	2	m2(γ	m2(γ	NOUN
ejpam-6626	264	3	)	)	PUNCT
ejpam-6626	264	4	(	(	PUNCT
ejpam-6626	264	5	(	(	PUNCT
ejpam-6626	264	6	1−	1−	NUM
ejpam-6626	264	7	γ)2	γ)2	NOUN
ejpam-6626	264	8	+	+	CCONJ
ejpam-6626	264	9	2γ(1−γ)tγ	2γ(1−γ)tγ	PROPN
ejpam-6626	264	10	γ(γ+1	γ(γ+1	NUM
ejpam-6626	264	11	)	)	PUNCT
ejpam-6626	265	1	+	+	CCONJ
ejpam-6626	265	2	γ2tγ	γ2tγ	NOUN
ejpam-6626	265	3	γ(2γ+1	γ(2γ+1	X
ejpam-6626	265	4	)	)	PUNCT
ejpam-6626	265	5	)	)	PUNCT
ejpam-6626	265	6	,	,	PUNCT
ejpam-6626	266	1	h2(t	h2(t	PROPN
ejpam-6626	266	2	,	,	PUNCT
ejpam-6626	266	3	x	x	NOUN
ejpam-6626	266	4	)	)	PUNCT
ejpam-6626	266	5	=	=	SYM
ejpam-6626	267	1	−32sech2(−2	−32sech2(−2	PROPN
ejpam-6626	267	2	xβ	xβ	ADV
ejpam-6626	267	3	γ(β	γ(β	PROPN
ejpam-6626	267	4	+	+	CCONJ
ejpam-6626	267	5	1	1	NUM
ejpam-6626	267	6	)	)	PUNCT
ejpam-6626	267	7	)	)	PUNCT
ejpam-6626	268	1	[	[	X
ejpam-6626	268	2	−25sech2(−2	−25sech2(−2	NOUN
ejpam-6626	268	3	xβ	xβ	VERB
ejpam-6626	268	4	γ(β	γ(β	PROPN
ejpam-6626	268	5	+	+	CCONJ
ejpam-6626	268	6	1	1	NUM
ejpam-6626	268	7	)	)	PUNCT
ejpam-6626	268	8	)	)	PUNCT
ejpam-6626	269	1	+	+	CCONJ
ejpam-6626	270	1	40sech2(−2	40sech2(−2	NUM
ejpam-6626	270	2	xβ	xβ	ADV
ejpam-6626	270	3	γ(β	γ(β	PROPN
ejpam-6626	270	4	+	+	CCONJ
ejpam-6626	270	5	1	1	NUM
ejpam-6626	270	6	)	)	PUNCT
ejpam-6626	270	7	)	)	PUNCT
ejpam-6626	270	8	tanh(−2	tanh(−2	PROPN
ejpam-6626	270	9	xβ	xβ	NOUN
ejpam-6626	270	10	γ(β	γ(β	PROPN
ejpam-6626	270	11	+	+	CCONJ
ejpam-6626	270	12	1	1	NUM
ejpam-6626	270	13	)	)	PUNCT
ejpam-6626	270	14	)	)	PUNCT
ejpam-6626	271	1	−2tanh2(−2	−2tanh2(−2	PROPN
ejpam-6626	271	2	xβ	xβ	VERB
ejpam-6626	272	1	γ(β+1))−	γ(β+1))−	NOUN
ejpam-6626	272	2	32tanh3(−2	32tanh3(−2	NUM
ejpam-6626	272	3	xβ	xβ	ADV
ejpam-6626	272	4	γ(β+1	γ(β+1	NUM
ejpam-6626	272	5	)	)	PUNCT
ejpam-6626	272	6	)	)	PUNCT
ejpam-6626	273	1	+	+	CCONJ
ejpam-6626	273	2	96tanh(−2	96tanh(−2	NUM
ejpam-6626	273	3	xβ	xβ	ADV
ejpam-6626	273	4	γ(β+1	γ(β+1	NUM
ejpam-6626	273	5	)	)	PUNCT
ejpam-6626	273	6	)	)	PUNCT
ejpam-6626	273	7	]	]	PUNCT
ejpam-6626	273	8	1	1	NUM
ejpam-6626	273	9	m2(γ	m2(γ	NOUN
ejpam-6626	273	10	)	)	PUNCT
ejpam-6626	273	11	(	(	PUNCT
ejpam-6626	273	12	(	(	PUNCT
ejpam-6626	273	13	1−	1−	NUM
ejpam-6626	273	14	γ)2	γ)2	NOUN
ejpam-6626	273	15	+	+	CCONJ
ejpam-6626	273	16	2γ(1−γ)tγ	2γ(1−γ)tγ	PROPN
ejpam-6626	273	17	γ(γ+1	γ(γ+1	NUM
ejpam-6626	273	18	)	)	PUNCT
ejpam-6626	274	1	+	+	CCONJ
ejpam-6626	274	2	γ2tγ	γ2tγ	NOUN
ejpam-6626	274	3	γ(2γ+1	γ(2γ+1	X
ejpam-6626	274	4	)	)	PUNCT
ejpam-6626	274	5	)	)	PUNCT
ejpam-6626	274	6	.	.	PUNCT
ejpam-6626	275	1	(	(	PUNCT
ejpam-6626	275	2	4.13	4.13	X
ejpam-6626	275	3	)	)	PUNCT
ejpam-6626	275	4	the	the	DET
ejpam-6626	275	5	other	other	ADJ
ejpam-6626	275	6	iterative	iterative	NOUN
ejpam-6626	275	7	terms	term	NOUN
ejpam-6626	275	8	can	can	AUX
ejpam-6626	275	9	be	be	AUX
ejpam-6626	275	10	employed	employ	VERB
ejpam-6626	275	11	in	in	ADP
ejpam-6626	275	12	precisely	precisely	ADV
ejpam-6626	275	13	the	the	DET
ejpam-6626	275	14	same	same	ADJ
ejpam-6626	275	15	manner	manner	NOUN
ejpam-6626	275	16	.	.	PUNCT
ejpam-6626	276	1	as	as	SCONJ
ejpam-6626	276	2	the	the	DET
ejpam-6626	276	3	solutions	solution	NOUN
ejpam-6626	276	4	are	be	AUX
ejpam-6626	276	5	defined	define	VERB
ejpam-6626	276	6	by	by	ADP
ejpam-6626	276	7	g(t	g(t	PROPN
ejpam-6626	276	8	,	,	PUNCT
ejpam-6626	276	9	x	x	X
ejpam-6626	276	10	)	)	PUNCT
ejpam-6626	277	1	=	=	SYM
ejpam-6626	277	2	g0(t	g0(t	PROPN
ejpam-6626	277	3	,	,	PUNCT
ejpam-6626	277	4	x	x	X
ejpam-6626	277	5	)	)	PUNCT
ejpam-6626	277	6	+	+	CCONJ
ejpam-6626	277	7	g1(t	g1(t	PROPN
ejpam-6626	277	8	,	,	PUNCT
ejpam-6626	277	9	x	x	NOUN
ejpam-6626	277	10	)	)	PUNCT
ejpam-6626	277	11	+	+	CCONJ
ejpam-6626	277	12	g2(t	g2(t	PROPN
ejpam-6626	277	13	,	,	PUNCT
ejpam-6626	277	14	x	x	NOUN
ejpam-6626	277	15	)	)	PUNCT
ejpam-6626	277	16	+	+	CCONJ
ejpam-6626	277	17	g3(t	g3(t	NUM
ejpam-6626	277	18	,	,	PUNCT
ejpam-6626	277	19	x	x	PRON
ejpam-6626	277	20	)	)	PUNCT
ejpam-6626	277	21	+	+	CCONJ
ejpam-6626	277	22	...	...	PUNCT
ejpam-6626	277	23	,	,	PUNCT
ejpam-6626	277	24	h(t	h(t	PROPN
ejpam-6626	277	25	,	,	PUNCT
ejpam-6626	277	26	x	x	X
ejpam-6626	277	27	)	)	PUNCT
ejpam-6626	277	28	=	=	SYM
ejpam-6626	277	29	h0(t	h0(t	PROPN
ejpam-6626	277	30	,	,	PUNCT
ejpam-6626	277	31	x	x	NOUN
ejpam-6626	277	32	)	)	PUNCT
ejpam-6626	277	33	+	+	CCONJ
ejpam-6626	277	34	h1(t	h1(t	ADV
ejpam-6626	277	35	,	,	PUNCT
ejpam-6626	277	36	x	x	NOUN
ejpam-6626	277	37	)	)	PUNCT
ejpam-6626	277	38	+	+	CCONJ
ejpam-6626	277	39	h2(t	h2(t	PROPN
ejpam-6626	277	40	,	,	PUNCT
ejpam-6626	277	41	x	x	PRON
ejpam-6626	277	42	)	)	PUNCT
ejpam-6626	277	43	+	+	CCONJ
ejpam-6626	277	44	h3(t	h3(t	PROPN
ejpam-6626	277	45	,	,	PUNCT
ejpam-6626	277	46	x	x	PRON
ejpam-6626	277	47	)	)	PUNCT
ejpam-6626	277	48	+	+	CCONJ
ejpam-6626	277	49	....	....	PUNCT
ejpam-6626	277	50	(	(	PUNCT
ejpam-6626	277	51	4.14	4.14	NUM
ejpam-6626	277	52	)	)	PUNCT
ejpam-6626	277	53	we	we	PRON
ejpam-6626	277	54	acquire	acquire	VERB
ejpam-6626	277	55	the	the	DET
ejpam-6626	277	56	requisite	requisite	ADJ
ejpam-6626	277	57	solutions	solution	NOUN
ejpam-6626	277	58	:	:	PUNCT
ejpam-6626	277	59	g(t	g(t	PROPN
ejpam-6626	277	60	,	,	PUNCT
ejpam-6626	277	61	x	x	X
ejpam-6626	277	62	)	)	PUNCT
ejpam-6626	277	63	=	=	SYM
ejpam-6626	277	64	1	1	NUM
ejpam-6626	277	65	2	2	NUM
ejpam-6626	277	66	−	−	NUM
ejpam-6626	277	67	8tanh(−2	8tanh(−2	NUM
ejpam-6626	277	68	xβ	xβ	ADV
ejpam-6626	278	1	γ(β	γ(β	PROPN
ejpam-6626	279	1	+	+	CCONJ
ejpam-6626	280	1	1	1	NUM
ejpam-6626	280	2	)	)	PUNCT
ejpam-6626	280	3	)	)	PUNCT
ejpam-6626	281	1	−	−	PROPN
ejpam-6626	282	1	8sech2(−2	8sech2(−2	NUM
ejpam-6626	282	2	xβ	xβ	NOUN
ejpam-6626	282	3	γ(β	γ(β	PROPN
ejpam-6626	283	1	+	+	CCONJ
ejpam-6626	283	2	1	1	NUM
ejpam-6626	283	3	)	)	PUNCT
ejpam-6626	283	4	)	)	PUNCT
ejpam-6626	284	1	1	1	NUM
ejpam-6626	284	2	m(γ	m(γ	NOUN
ejpam-6626	284	3	)	)	PUNCT
ejpam-6626	284	4	(	(	PUNCT
ejpam-6626	284	5	(	(	PUNCT
ejpam-6626	284	6	1−	1−	NUM
ejpam-6626	284	7	γ	γ	X
ejpam-6626	284	8	)	)	PUNCT
ejpam-6626	285	1	+	+	NUM
ejpam-6626	285	2	γtγ	γtγ	X
ejpam-6626	285	3	γ(γ	γ(γ	PROPN
ejpam-6626	285	4	+	+	CCONJ
ejpam-6626	285	5	1	1	NUM
ejpam-6626	285	6	)	)	PUNCT
ejpam-6626	285	7	)	)	PUNCT
ejpam-6626	286	1	+16sech2(−2	+16sech2(−2	PUNCT
ejpam-6626	286	2	xβ	xβ	ADV
ejpam-6626	287	1	γ(1	γ(1	NOUN
ejpam-6626	287	2	+	+	NUM
ejpam-6626	287	3	β	β	NOUN
ejpam-6626	287	4	)	)	PUNCT
ejpam-6626	287	5	)	)	PUNCT
ejpam-6626	288	1	[	[	X
ejpam-6626	288	2	4sech2(−2	4sech2(−2	NUM
ejpam-6626	288	3	xβ	xβ	VERB
ejpam-6626	289	1	γ(1	γ(1	NOUN
ejpam-6626	289	2	+	+	NUM
ejpam-6626	289	3	β	β	NOUN
ejpam-6626	289	4	)	)	PUNCT
ejpam-6626	289	5	)	)	PUNCT
ejpam-6626	290	1	−	−	PROPN
ejpam-6626	290	2	8tanh2(−2	8tanh2(−2	NUM
ejpam-6626	290	3	xβ	xβ	NUM
ejpam-6626	291	1	γ(1	γ(1	PROPN
ejpam-6626	291	2	+	+	NUM
ejpam-6626	291	3	β	β	NOUN
ejpam-6626	291	4	)	)	PUNCT
ejpam-6626	291	5	)	)	PUNCT
ejpam-6626	292	1	+3tanh(−2	+3tanh(−2	ADP
ejpam-6626	292	2	xβ	xβ	VERB
ejpam-6626	293	1	γ(1	γ(1	PROPN
ejpam-6626	293	2	+	+	NUM
ejpam-6626	293	3	β	β	NOUN
ejpam-6626	293	4	)	)	PUNCT
ejpam-6626	293	5	)	)	PUNCT
ejpam-6626	293	6	]	]	PUNCT
ejpam-6626	293	7	1	1	NUM
ejpam-6626	293	8	m2(γ	m2(γ	NOUN
ejpam-6626	293	9	)	)	PUNCT
ejpam-6626	293	10	(	(	PUNCT
ejpam-6626	293	11	(	(	PUNCT
ejpam-6626	293	12	−γ	−γ	VERB
ejpam-6626	293	13	+	+	X
ejpam-6626	293	14	1)2	1)2	NUM
ejpam-6626	293	15	+	+	CCONJ
ejpam-6626	293	16	2γ(−γ	2γ(−γ	NUM
ejpam-6626	293	17	+	+	CCONJ
ejpam-6626	293	18	1)tγ	1)tγ	X
ejpam-6626	293	19	γ(1	γ(1	NOUN
ejpam-6626	293	20	+	+	NUM
ejpam-6626	293	21	γ	γ	X
ejpam-6626	293	22	)	)	PUNCT
ejpam-6626	293	23	+	+	NUM
ejpam-6626	293	24	γ2tγ	γ2tγ	PUNCT
ejpam-6626	294	1	γ(1	γ(1	NOUN
ejpam-6626	294	2	+	+	NUM
ejpam-6626	294	3	2γ	2γ	NOUN
ejpam-6626	294	4	)	)	PUNCT
ejpam-6626	294	5	)	)	PUNCT
ejpam-6626	295	1	+	+	CCONJ
ejpam-6626	295	2	.	.	PUNCT
ejpam-6626	295	3	.	.	PUNCT
ejpam-6626	295	4	.	.	PUNCT
ejpam-6626	296	1	(	(	PUNCT
ejpam-6626	296	2	4.15	4.15	NUM
ejpam-6626	296	3	)	)	PUNCT
ejpam-6626	296	4	h(t	h(t	PROPN
ejpam-6626	296	5	,	,	PUNCT
ejpam-6626	296	6	x	x	X
ejpam-6626	296	7	)	)	PUNCT
ejpam-6626	296	8	=	=	SYM
ejpam-6626	296	9	16−16tanh2(−2	16−16tanh2(−2	NUM
ejpam-6626	296	10	xβ	xβ	X
ejpam-6626	297	1	γ(1	γ(1	NOUN
ejpam-6626	297	2	+	+	NUM
ejpam-6626	297	3	β	β	NOUN
ejpam-6626	297	4	)	)	PUNCT
ejpam-6626	297	5	)	)	PUNCT
ejpam-6626	298	1	−32sech2(−2	−32sech2(−2	PROPN
ejpam-6626	298	2	xβ	xβ	PUNCT
ejpam-6626	299	1	γ(1	γ(1	NOUN
ejpam-6626	299	2	+	+	NUM
ejpam-6626	299	3	β	β	NOUN
ejpam-6626	299	4	)	)	PUNCT
ejpam-6626	299	5	)	)	PUNCT
ejpam-6626	299	6	tanh(−2	tanh(−2	PROPN
ejpam-6626	299	7	xβ	xβ	NOUN
ejpam-6626	300	1	γ(1	γ(1	PROPN
ejpam-6626	300	2	+	+	NUM
ejpam-6626	300	3	β	β	X
ejpam-6626	300	4	)	)	PUNCT
ejpam-6626	300	5	)	)	PUNCT
ejpam-6626	300	6	1	1	NUM
ejpam-6626	300	7	m(γ	m(γ	NOUN
ejpam-6626	300	8	)	)	PUNCT
ejpam-6626	300	9	(	(	PUNCT
ejpam-6626	300	10	(	(	PUNCT
ejpam-6626	300	11	−γ+1)+	−γ+1)+	NOUN
ejpam-6626	300	12	γtγ	γtγ	VERB
ejpam-6626	301	1	γ(1	γ(1	PROPN
ejpam-6626	301	2	+	+	NUM
ejpam-6626	301	3	γ	γ	NOUN
ejpam-6626	301	4	)	)	PUNCT
ejpam-6626	301	5	)	)	PUNCT
ejpam-6626	302	1	−32sech2(−2	−32sech2(−2	NOUN
ejpam-6626	302	2	xβ	xβ	NUM
ejpam-6626	303	1	γ(1	γ(1	NOUN
ejpam-6626	303	2	+	+	NUM
ejpam-6626	303	3	β	β	NOUN
ejpam-6626	303	4	)	)	PUNCT
ejpam-6626	303	5	)	)	PUNCT
ejpam-6626	304	1	[	[	X
ejpam-6626	304	2	−25sech2(−2	−25sech2(−2	NOUN
ejpam-6626	304	3	xβ	xβ	VERB
ejpam-6626	305	1	γ(1	γ(1	PROPN
ejpam-6626	305	2	+	+	NUM
ejpam-6626	305	3	β	β	NOUN
ejpam-6626	305	4	)	)	PUNCT
ejpam-6626	305	5	)	)	PUNCT
ejpam-6626	305	6	+40sech2(−2	+40sech2(−2	PART
ejpam-6626	306	1	xβ	xβ	NUM
ejpam-6626	307	1	γ(1	γ(1	PROPN
ejpam-6626	307	2	+	+	NUM
ejpam-6626	307	3	β	β	NOUN
ejpam-6626	307	4	)	)	PUNCT
ejpam-6626	307	5	)	)	PUNCT
ejpam-6626	307	6	tanh(−2	tanh(−2	PROPN
ejpam-6626	307	7	xβ	xβ	NOUN
ejpam-6626	308	1	γ(1	γ(1	PROPN
ejpam-6626	308	2	+	+	NUM
ejpam-6626	308	3	β	β	X
ejpam-6626	308	4	)	)	PUNCT
ejpam-6626	308	5	)	)	PUNCT
ejpam-6626	309	1	−2tanh2(−2	−2tanh2(−2	PROPN
ejpam-6626	309	2	xβ	xβ	PUNCT
ejpam-6626	310	1	γ(1	γ(1	PROPN
ejpam-6626	310	2	+	+	CCONJ
ejpam-6626	310	3	β+	β+	NUM
ejpam-6626	310	4	)	)	PUNCT
ejpam-6626	310	5	)	)	PUNCT
ejpam-6626	310	6	−32tanh3(−2	−32tanh3(−2	PROPN
ejpam-6626	310	7	xβ	xβ	ADP
ejpam-6626	310	8	γ(β	γ(β	PROPN
ejpam-6626	310	9	+	+	CCONJ
ejpam-6626	310	10	1	1	NUM
ejpam-6626	310	11	)	)	PUNCT
ejpam-6626	310	12	)	)	PUNCT
ejpam-6626	311	1	+96tanh(−2	+96tanh(−2	ADP
ejpam-6626	311	2	xβ	xβ	NOUN
ejpam-6626	312	1	γ(1	γ(1	NOUN
ejpam-6626	312	2	+	+	NUM
ejpam-6626	312	3	β	β	NOUN
ejpam-6626	312	4	)	)	PUNCT
ejpam-6626	312	5	)	)	PUNCT
ejpam-6626	312	6	]	]	PUNCT
ejpam-6626	312	7	1	1	NUM
ejpam-6626	312	8	m2(γ	m2(γ	NOUN
ejpam-6626	312	9	)	)	PUNCT
ejpam-6626	312	10	(	(	PUNCT
ejpam-6626	312	11	(	(	PUNCT
ejpam-6626	312	12	−γ+1)2	−γ+1)2	ADJ
ejpam-6626	312	13	+	+	NOUN
ejpam-6626	312	14	2γ(−γ	2γ(−γ	ADJ
ejpam-6626	312	15	+	+	CCONJ
ejpam-6626	312	16	1)tγ	1)tγ	PROPN
ejpam-6626	312	17	γ(γ	γ(γ	NOUN
ejpam-6626	312	18	+	+	CCONJ
ejpam-6626	312	19	1	1	X
ejpam-6626	312	20	)	)	PUNCT
ejpam-6626	312	21	+	+	NUM
ejpam-6626	312	22	γ2tγ	γ2tγ	SYM
ejpam-6626	312	23	γ(2γ	γ(2γ	NOUN
ejpam-6626	313	1	+	+	NOUN
ejpam-6626	313	2	1	1	NUM
ejpam-6626	313	3	)	)	PUNCT
ejpam-6626	313	4	)	)	PUNCT
ejpam-6626	314	1	+	+	CCONJ
ejpam-6626	314	2	.	.	PUNCT
ejpam-6626	314	3	.	.	PUNCT
ejpam-6626	314	4	.	.	PUNCT
ejpam-6626	315	1	(	(	PUNCT
ejpam-6626	315	2	4.16	4.16	NUM
ejpam-6626	315	3	)	)	PUNCT
ejpam-6626	315	4	after	after	ADP
ejpam-6626	315	5	obtaining	obtain	VERB
ejpam-6626	315	6	the	the	DET
ejpam-6626	315	7	estimated	estimate	VERB
ejpam-6626	315	8	solutions	solution	NOUN
ejpam-6626	315	9	of	of	ADP
ejpam-6626	315	10	the	the	DET
ejpam-6626	315	11	considered	consider	VERB
ejpam-6626	315	12	system	system	NOUN
ejpam-6626	315	13	,	,	PUNCT
ejpam-6626	315	14	they	they	PRON
ejpam-6626	315	15	are	be	AUX
ejpam-6626	315	16	represented	represent	VERB
ejpam-6626	315	17	in	in	ADP
ejpam-6626	315	18	3d	3d	NUM
ejpam-6626	315	19	with	with	ADP
ejpam-6626	315	20	different	different	ADJ
ejpam-6626	315	21	fractional	fractional	ADJ
ejpam-6626	315	22	derivative	derivative	ADJ
ejpam-6626	315	23	values	value	NOUN
ejpam-6626	315	24	γ	γ	X
ejpam-6626	315	25	and	and	CCONJ
ejpam-6626	315	26	β	β	X
ejpam-6626	315	27	.	.	PUNCT
ejpam-6626	316	1	the	the	DET
ejpam-6626	316	2	surface	surface	NOUN
ejpam-6626	316	3	plots	plot	NOUN
ejpam-6626	316	4	can	can	AUX
ejpam-6626	316	5	be	be	AUX
ejpam-6626	316	6	seen	see	VERB
ejpam-6626	316	7	in	in	ADP
ejpam-6626	316	8	fig	fig	NOUN
ejpam-6626	316	9	.	.	PUNCT
ejpam-6626	317	1	(	(	PUNCT
ejpam-6626	317	2	4)-(5	4)-(5	NUM
ejpam-6626	317	3	)	)	PUNCT
ejpam-6626	317	4	.	.	PUNCT
ejpam-6626	318	1	in	in	ADP
ejpam-6626	318	2	addition	addition	NOUN
ejpam-6626	318	3	to	to	ADP
ejpam-6626	318	4	the	the	DET
ejpam-6626	318	5	3d	3d	PROPN
ejpam-6626	318	6	representation	representation	NOUN
ejpam-6626	318	7	,	,	PUNCT
ejpam-6626	318	8	the	the	DET
ejpam-6626	318	9	behavior	behavior	NOUN
ejpam-6626	318	10	of	of	ADP
ejpam-6626	318	11	the	the	DET
ejpam-6626	318	12	solutions	solution	NOUN
ejpam-6626	318	13	g	g	PROPN
ejpam-6626	318	14	and	and	CCONJ
ejpam-6626	318	15	h	h	PROPN
ejpam-6626	318	16	i.	i.	PROPN
ejpam-6626	318	17	kadri	kadri	PROPN
ejpam-6626	318	18	et	et	PROPN
ejpam-6626	318	19	al	al	PROPN
ejpam-6626	318	20	.	.	PUNCT
ejpam-6626	318	21	/	/	SYM
ejpam-6626	318	22	eur	eur	PROPN
ejpam-6626	318	23	.	.	PUNCT
ejpam-6626	319	1	j.	j.	PROPN
ejpam-6626	319	2	pure	pure	PROPN
ejpam-6626	319	3	appl	appl	PROPN
ejpam-6626	319	4	.	.	PROPN
ejpam-6626	319	5	math	math	PROPN
ejpam-6626	319	6	,	,	PUNCT
ejpam-6626	319	7	18	18	NUM
ejpam-6626	319	8	(	(	PUNCT
ejpam-6626	319	9	3	3	NUM
ejpam-6626	319	10	)	)	PUNCT
ejpam-6626	319	11	(	(	PUNCT
ejpam-6626	319	12	2025	2025	NUM
ejpam-6626	319	13	)	)	PUNCT
ejpam-6626	319	14	,	,	PUNCT
ejpam-6626	319	15	6626	6626	NUM
ejpam-6626	319	16	14	14	NUM
ejpam-6626	319	17	of	of	ADP
ejpam-6626	319	18	24	24	NUM
ejpam-6626	319	19	of	of	ADP
ejpam-6626	319	20	the	the	DET
ejpam-6626	319	21	problem	problem	NOUN
ejpam-6626	319	22	(	(	PUNCT
ejpam-6626	319	23	4.9	4.9	NUM
ejpam-6626	319	24	-	-	NUM
ejpam-6626	319	25	4.10	4.10	NUM
ejpam-6626	319	26	)	)	PUNCT
ejpam-6626	319	27	for	for	ADP
ejpam-6626	319	28	different	different	ADJ
ejpam-6626	319	29	values	value	NOUN
ejpam-6626	319	30	of	of	ADP
ejpam-6626	319	31	fractional	fractional	ADJ
ejpam-6626	319	32	derivatives	derivative	NOUN
ejpam-6626	319	33	are	be	AUX
ejpam-6626	319	34	shown	show	VERB
ejpam-6626	319	35	in	in	ADP
ejpam-6626	319	36	2d	2d	NUM
ejpam-6626	319	37	as	as	SCONJ
ejpam-6626	319	38	follows	follow	VERB
ejpam-6626	319	39	.	.	PUNCT
ejpam-6626	320	1	(	(	PUNCT
ejpam-6626	320	2	a	a	X
ejpam-6626	320	3	)	)	PUNCT
ejpam-6626	320	4	(	(	PUNCT
ejpam-6626	320	5	b	b	X
ejpam-6626	320	6	)	)	PUNCT
ejpam-6626	320	7	(	(	PUNCT
ejpam-6626	320	8	c	c	X
ejpam-6626	320	9	)	)	PUNCT
ejpam-6626	320	10	figure	figure	NOUN
ejpam-6626	320	11	4	4	NUM
ejpam-6626	320	12	:	:	PUNCT
ejpam-6626	320	13	the	the	DET
ejpam-6626	320	14	approximate	approximate	ADJ
ejpam-6626	320	15	solution	solution	NOUN
ejpam-6626	320	16	g	g	PROPN
ejpam-6626	320	17	of	of	ADP
ejpam-6626	320	18	the	the	DET
ejpam-6626	320	19	problem	problem	NOUN
ejpam-6626	320	20	(	(	PUNCT
ejpam-6626	320	21	4.9	4.9	NUM
ejpam-6626	320	22	-	-	NUM
ejpam-6626	320	23	4.10	4.10	NUM
ejpam-6626	320	24	)	)	PUNCT
ejpam-6626	320	25	for	for	ADP
ejpam-6626	320	26	γ	γ	X
ejpam-6626	320	27	=	=	SYM
ejpam-6626	320	28	β	β	X
ejpam-6626	320	29	=	=	SYM
ejpam-6626	320	30	0.35	0.35	NUM
ejpam-6626	320	31	,	,	PUNCT
ejpam-6626	320	32	0.7	0.7	NUM
ejpam-6626	320	33	,	,	PUNCT
ejpam-6626	320	34	and	and	CCONJ
ejpam-6626	320	35	0.95	0.95	NUM
ejpam-6626	320	36	(	(	PUNCT
ejpam-6626	320	37	a	a	NOUN
ejpam-6626	320	38	)	)	PUNCT
ejpam-6626	320	39	(	(	PUNCT
ejpam-6626	320	40	b	b	X
ejpam-6626	320	41	)	)	PUNCT
ejpam-6626	320	42	(	(	PUNCT
ejpam-6626	320	43	c	c	X
ejpam-6626	320	44	)	)	PUNCT
ejpam-6626	320	45	figure	figure	NOUN
ejpam-6626	320	46	5	5	NUM
ejpam-6626	320	47	:	:	PUNCT
ejpam-6626	320	48	the	the	DET
ejpam-6626	320	49	approximate	approximate	ADJ
ejpam-6626	320	50	solution	solution	NOUN
ejpam-6626	320	51	h	h	NOUN
ejpam-6626	320	52	of	of	ADP
ejpam-6626	320	53	the	the	DET
ejpam-6626	320	54	problem	problem	NOUN
ejpam-6626	320	55	(	(	PUNCT
ejpam-6626	320	56	4.9	4.9	NUM
ejpam-6626	320	57	-	-	NUM
ejpam-6626	320	58	4.10	4.10	NUM
ejpam-6626	320	59	)	)	PUNCT
ejpam-6626	320	60	for	for	ADP
ejpam-6626	320	61	γ	γ	X
ejpam-6626	320	62	=	=	SYM
ejpam-6626	320	63	β	β	X
ejpam-6626	320	64	=	=	SYM
ejpam-6626	320	65	0.35	0.35	NUM
ejpam-6626	320	66	,	,	PUNCT
ejpam-6626	320	67	0.7	0.7	NUM
ejpam-6626	320	68	,	,	PUNCT
ejpam-6626	320	69	and	and	CCONJ
ejpam-6626	320	70	0.95	0.95	NUM
ejpam-6626	320	71	(	(	PUNCT
ejpam-6626	320	72	a	a	NOUN
ejpam-6626	320	73	)	)	PUNCT
ejpam-6626	320	74	(	(	PUNCT
ejpam-6626	320	75	b	b	X
ejpam-6626	320	76	)	)	PUNCT
ejpam-6626	320	77	figure	figure	NOUN
ejpam-6626	320	78	6	6	NUM
ejpam-6626	320	79	:	:	PUNCT
ejpam-6626	320	80	the	the	DET
ejpam-6626	320	81	approximate	approximate	ADJ
ejpam-6626	320	82	solution	solution	NOUN
ejpam-6626	320	83	g	g	PROPN
ejpam-6626	320	84	and	and	CCONJ
ejpam-6626	320	85	h	h	NOUN
ejpam-6626	320	86	of	of	ADP
ejpam-6626	320	87	the	the	DET
ejpam-6626	320	88	problem	problem	NOUN
ejpam-6626	320	89	(	(	PUNCT
ejpam-6626	320	90	4.9	4.9	NUM
ejpam-6626	320	91	-	-	SYM
ejpam-6626	320	92	4.10	4.10	NUM
ejpam-6626	320	93	)	)	PUNCT
ejpam-6626	320	94	in	in	ADP
ejpam-6626	320	95	2d	2d	PROPN
ejpam-6626	320	96	i.	i.	PROPN
ejpam-6626	320	97	kadri	kadri	PROPN
ejpam-6626	320	98	et	et	PROPN
ejpam-6626	320	99	al	al	PROPN
ejpam-6626	320	100	.	.	PUNCT
ejpam-6626	320	101	/	/	SYM
ejpam-6626	320	102	eur	eur	PROPN
ejpam-6626	320	103	.	.	PUNCT
ejpam-6626	321	1	j.	j.	PROPN
ejpam-6626	321	2	pure	pure	PROPN
ejpam-6626	321	3	appl	appl	PROPN
ejpam-6626	321	4	.	.	PROPN
ejpam-6626	321	5	math	math	PROPN
ejpam-6626	321	6	,	,	PUNCT
ejpam-6626	321	7	18	18	NUM
ejpam-6626	321	8	(	(	PUNCT
ejpam-6626	321	9	3	3	NUM
ejpam-6626	321	10	)	)	PUNCT
ejpam-6626	321	11	(	(	PUNCT
ejpam-6626	321	12	2025	2025	NUM
ejpam-6626	321	13	)	)	PUNCT
ejpam-6626	321	14	,	,	PUNCT
ejpam-6626	321	15	6626	6626	NUM
ejpam-6626	321	16	15	15	NUM
ejpam-6626	321	17	of	of	ADP
ejpam-6626	321	18	24	24	NUM
ejpam-6626	321	19	4.3	4.3	NUM
ejpam-6626	321	20	.	.	PUNCT
ejpam-6626	322	1	the	the	DET
ejpam-6626	322	2	time	time	NOUN
ejpam-6626	322	3	-	-	PUNCT
ejpam-6626	322	4	fractional	fractional	ADJ
ejpam-6626	322	5	wbk	wbk	NOUN
ejpam-6626	322	6	equations	equation	NOUN
ejpam-6626	322	7	in	in	ADP
ejpam-6626	322	8	caputo	caputo	PROPN
ejpam-6626	322	9	-	-	PUNCT
ejpam-6626	322	10	fabrizio	fabrizio	PROPN
ejpam-6626	322	11	sense	sense	NOUN
ejpam-6626	322	12	.	.	PUNCT
ejpam-6626	323	1	consider	consider	VERB
ejpam-6626	323	2	the	the	PRON
ejpam-6626	323	3	following	follow	VERB
ejpam-6626	323	4	caputo	caputo	PROPN
ejpam-6626	323	5	-	-	PUNCT
ejpam-6626	323	6	fabrizio	fabrizio	PROPN
ejpam-6626	323	7	-	-	PUNCT
ejpam-6626	323	8	type	type	NOUN
ejpam-6626	323	9	time	time	NOUN
ejpam-6626	323	10	fractional	fractional	ADJ
ejpam-6626	323	11	wbk	wbk	NOUN
ejpam-6626	323	12	equations	equation	NOUN
ejpam-6626	323	13	∂γg	∂γg	NOUN
ejpam-6626	323	14	∂tγ	∂tγ	PROPN
ejpam-6626	323	15	+	+	CCONJ
ejpam-6626	323	16	g	g	NOUN
ejpam-6626	323	17	∂βg	∂βg	NOUN
ejpam-6626	323	18	∂xβ	∂xβ	NOUN
ejpam-6626	323	19	+	+	CCONJ
ejpam-6626	323	20	∂βh	∂βh	PROPN
ejpam-6626	323	21	∂xβ	∂xβ	PROPN
ejpam-6626	323	22	+	+	CCONJ
ejpam-6626	323	23	∂2βg	∂2βg	ADJ
ejpam-6626	323	24	∂x2β	∂x2β	NOUN
ejpam-6626	323	25	=	=	SYM
ejpam-6626	323	26	0	0	NUM
ejpam-6626	323	27	,	,	PUNCT
ejpam-6626	323	28	∂γh	∂γh	PROPN
ejpam-6626	323	29	∂tγ	∂tγ	PROPN
ejpam-6626	323	30	+	+	CCONJ
ejpam-6626	323	31	g	g	PROPN
ejpam-6626	323	32	∂βh	∂βh	PROPN
ejpam-6626	323	33	∂xβ	∂xβ	PROPN
ejpam-6626	323	34	+	+	CCONJ
ejpam-6626	323	35	h	h	NOUN
ejpam-6626	323	36	∂βg	∂βg	PROPN
ejpam-6626	323	37	∂xβ	∂xβ	NOUN
ejpam-6626	323	38	+	+	CCONJ
ejpam-6626	323	39	3	3	NUM
ejpam-6626	323	40	∂3βg	∂3βg	NOUN
ejpam-6626	323	41	∂x3β	∂x3β	ADP
ejpam-6626	323	42	−	−	PROPN
ejpam-6626	323	43	∂2βg	∂2βg	NOUN
ejpam-6626	323	44	∂x2β	∂x2β	NOUN
ejpam-6626	323	45	=	=	SYM
ejpam-6626	323	46	0	0	NUM
ejpam-6626	323	47	,	,	PUNCT
ejpam-6626	323	48	(	(	PUNCT
ejpam-6626	323	49	4.17	4.17	NUM
ejpam-6626	323	50	)	)	PUNCT
ejpam-6626	323	51	subjected	subject	VERB
ejpam-6626	323	52	to	to	ADP
ejpam-6626	323	53	the	the	DET
ejpam-6626	323	54	initial	initial	ADJ
ejpam-6626	323	55	conditions	condition	NOUN
ejpam-6626	323	56	g(0	g(0	NOUN
ejpam-6626	323	57	,	,	PUNCT
ejpam-6626	323	58	x	x	NOUN
ejpam-6626	323	59	)	)	PUNCT
ejpam-6626	323	60	=	=	SYM
ejpam-6626	323	61	1	1	NUM
ejpam-6626	323	62	2	2	NUM
ejpam-6626	323	63	−	−	NUM
ejpam-6626	323	64	8tanh(−2	8tanh(−2	NUM
ejpam-6626	323	65	xβ	xβ	ADV
ejpam-6626	324	1	γ(β	γ(β	PROPN
ejpam-6626	324	2	+	+	CCONJ
ejpam-6626	324	3	1	1	NUM
ejpam-6626	324	4	)	)	PUNCT
ejpam-6626	324	5	)	)	PUNCT
ejpam-6626	324	6	,	,	PUNCT
ejpam-6626	324	7	h(0	h(0	PROPN
ejpam-6626	324	8	,	,	PUNCT
ejpam-6626	324	9	x	x	NOUN
ejpam-6626	324	10	)	)	PUNCT
ejpam-6626	325	1	=	=	SYM
ejpam-6626	325	2	16−	16−	NUM
ejpam-6626	325	3	16tanh2(−2	16tanh2(−2	NUM
ejpam-6626	325	4	xβ	xβ	ADP
ejpam-6626	325	5	γ(β	γ(β	PROPN
ejpam-6626	325	6	+	+	CCONJ
ejpam-6626	325	7	1	1	NUM
ejpam-6626	325	8	)	)	PUNCT
ejpam-6626	325	9	)	)	PUNCT
ejpam-6626	325	10	(	(	PUNCT
ejpam-6626	325	11	4.18	4.18	NUM
ejpam-6626	325	12	)	)	PUNCT
ejpam-6626	326	1	where	where	SCONJ
ejpam-6626	326	2	t	t	NOUN
ejpam-6626	326	3	,	,	PUNCT
ejpam-6626	326	4	x	x	X
ejpam-6626	326	5	≥	≥	NOUN
ejpam-6626	326	6	0	0	NUM
ejpam-6626	326	7	and	and	CCONJ
ejpam-6626	326	8	0	0	NUM
ejpam-6626	326	9	<	<	X
ejpam-6626	326	10	γ	γ	X
ejpam-6626	326	11	,	,	PUNCT
ejpam-6626	326	12	β	β	X
ejpam-6626	326	13	≤	≤	NUM
ejpam-6626	326	14	1	1	NUM
ejpam-6626	326	15	.	.	PUNCT
ejpam-6626	326	16	following	follow	VERB
ejpam-6626	326	17	the	the	DET
ejpam-6626	326	18	procedure	procedure	NOUN
ejpam-6626	326	19	defined	define	VERB
ejpam-6626	326	20	in	in	ADP
ejpam-6626	326	21	section	section	NOUN
ejpam-6626	326	22	3.3	3.3	NUM
ejpam-6626	326	23	provides	provide	VERB
ejpam-6626	326	24	us	we	PRON
ejpam-6626	326	25	with	with	ADP
ejpam-6626	326	26	the	the	DET
ejpam-6626	326	27	following	follow	VERB
ejpam-6626	326	28	components	component	NOUN
ejpam-6626	326	29	:	:	PUNCT
ejpam-6626	326	30			PROPN
ejpam-6626	326	31	g0(t	g0(t	PROPN
ejpam-6626	326	32	,	,	PUNCT
ejpam-6626	326	33	x	x	X
ejpam-6626	326	34	)	)	PUNCT
ejpam-6626	326	35	=	=	SYM
ejpam-6626	326	36	1	1	NUM
ejpam-6626	326	37	2	2	NUM
ejpam-6626	326	38	−	−	NUM
ejpam-6626	326	39	8tanh(−2	8tanh(−2	NUM
ejpam-6626	326	40	xβ	xβ	ADV
ejpam-6626	327	1	γ(β	γ(β	PROPN
ejpam-6626	327	2	+	+	CCONJ
ejpam-6626	327	3	1	1	NUM
ejpam-6626	327	4	)	)	PUNCT
ejpam-6626	327	5	)	)	PUNCT
ejpam-6626	327	6	,	,	PUNCT
ejpam-6626	327	7	h0(t	h0(t	PROPN
ejpam-6626	327	8	,	,	PUNCT
ejpam-6626	327	9	x	x	NOUN
ejpam-6626	327	10	)	)	PUNCT
ejpam-6626	327	11	=	=	SYM
ejpam-6626	327	12	16−	16−	NUM
ejpam-6626	327	13	16tanh2(−2	16tanh2(−2	NUM
ejpam-6626	327	14	xβ	xβ	ADP
ejpam-6626	327	15	γ(β	γ(β	PROPN
ejpam-6626	327	16	+	+	CCONJ
ejpam-6626	327	17	1	1	NUM
ejpam-6626	327	18	)	)	PUNCT
ejpam-6626	327	19	)	)	PUNCT
ejpam-6626	327	20	,	,	PUNCT
ejpam-6626	327	21	(	(	PUNCT
ejpam-6626	327	22	4.19	4.19	NUM
ejpam-6626	327	23	)	)	PUNCT
ejpam-6626	328	1			PROPN
ejpam-6626	328	2	g1(t	g1(t	NOUN
ejpam-6626	328	3	,	,	PUNCT
ejpam-6626	328	4	x	x	NOUN
ejpam-6626	328	5	)	)	PUNCT
ejpam-6626	328	6	=	=	PUNCT
ejpam-6626	328	7	−8sech2(−2	−8sech2(−2	NOUN
ejpam-6626	328	8	xβ	xβ	ADV
ejpam-6626	328	9	γ(β	γ(β	PROPN
ejpam-6626	328	10	+	+	CCONJ
ejpam-6626	328	11	1	1	NUM
ejpam-6626	328	12	)	)	PUNCT
ejpam-6626	328	13	)	)	PUNCT
ejpam-6626	328	14	(	(	PUNCT
ejpam-6626	328	15	1−	1−	NUM
ejpam-6626	328	16	γ	γ	X
ejpam-6626	328	17	+	+	CCONJ
ejpam-6626	328	18	γt	γt	NOUN
ejpam-6626	328	19	)	)	PUNCT
ejpam-6626	328	20	,	,	PUNCT
ejpam-6626	328	21	h1(t	h1(t	PROPN
ejpam-6626	328	22	,	,	PUNCT
ejpam-6626	328	23	x	x	NOUN
ejpam-6626	328	24	)	)	PUNCT
ejpam-6626	328	25	=	=	SYM
ejpam-6626	329	1	−32sech2(−2	−32sech2(−2	PROPN
ejpam-6626	329	2	xβ	xβ	ADV
ejpam-6626	329	3	γ(β	γ(β	PROPN
ejpam-6626	329	4	+	+	CCONJ
ejpam-6626	329	5	1	1	NUM
ejpam-6626	329	6	)	)	PUNCT
ejpam-6626	329	7	)	)	PUNCT
ejpam-6626	330	1	tanh(−2	tanh(−2	PROPN
ejpam-6626	330	2	xβ	xβ	NOUN
ejpam-6626	330	3	γ(β	γ(β	PROPN
ejpam-6626	330	4	+	+	CCONJ
ejpam-6626	330	5	1	1	NUM
ejpam-6626	330	6	)	)	PUNCT
ejpam-6626	330	7	)	)	PUNCT
ejpam-6626	331	1	(	(	PUNCT
ejpam-6626	331	2	1−	1−	NUM
ejpam-6626	331	3	γ	γ	X
ejpam-6626	331	4	+	+	CCONJ
ejpam-6626	331	5	γt	γt	NOUN
ejpam-6626	331	6	)	)	PUNCT
ejpam-6626	331	7	,	,	PUNCT
ejpam-6626	331	8	(	(	PUNCT
ejpam-6626	331	9	4.20	4.20	NUM
ejpam-6626	331	10	)	)	PUNCT
ejpam-6626	331	11			X
ejpam-6626	331	12	g2(t	g2(t	PROPN
ejpam-6626	331	13	,	,	PUNCT
ejpam-6626	331	14	x	x	X
ejpam-6626	331	15	)	)	PUNCT
ejpam-6626	331	16	=	=	SYM
ejpam-6626	331	17	16sech2(−2	16sech2(−2	NUM
ejpam-6626	331	18	xβ	xβ	ADV
ejpam-6626	331	19	γ(β	γ(β	PROPN
ejpam-6626	331	20	+	+	CCONJ
ejpam-6626	331	21	1	1	NUM
ejpam-6626	331	22	)	)	PUNCT
ejpam-6626	331	23	)	)	PUNCT
ejpam-6626	332	1	[	[	X
ejpam-6626	332	2	4sech2(−2	4sech2(−2	NUM
ejpam-6626	332	3	xβ	xβ	NOUN
ejpam-6626	332	4	γ(β	γ(β	PROPN
ejpam-6626	332	5	+	+	CCONJ
ejpam-6626	332	6	1	1	NUM
ejpam-6626	332	7	)	)	PUNCT
ejpam-6626	332	8	)	)	PUNCT
ejpam-6626	333	1	−	−	PROPN
ejpam-6626	334	1	8tanh2(−2	8tanh2(−2	NUM
ejpam-6626	334	2	xβ	xβ	NOUN
ejpam-6626	334	3	γ(β	γ(β	PROPN
ejpam-6626	334	4	+	+	CCONJ
ejpam-6626	334	5	1	1	NUM
ejpam-6626	334	6	)	)	PUNCT
ejpam-6626	334	7	)	)	PUNCT
ejpam-6626	335	1	+3tanh(−2	+3tanh(−2	CCONJ
ejpam-6626	335	2	xβ	xβ	NOUN
ejpam-6626	335	3	γ(β+1))]((1−	γ(β+1))]((1−	NOUN
ejpam-6626	335	4	γ)2	γ)2	NOUN
ejpam-6626	335	5	+	+	CCONJ
ejpam-6626	335	6	2γ(1−	2γ(1−	NUM
ejpam-6626	335	7	γ)t+	γ)t+	NOUN
ejpam-6626	335	8	γ2t2	γ2t2	NUM
ejpam-6626	335	9	)	)	PUNCT
ejpam-6626	335	10	,	,	PUNCT
ejpam-6626	335	11	h2(t	h2(t	PROPN
ejpam-6626	335	12	,	,	PUNCT
ejpam-6626	335	13	x	x	NOUN
ejpam-6626	335	14	)	)	PUNCT
ejpam-6626	335	15	=	=	SYM
ejpam-6626	336	1	−32sech2(−2	−32sech2(−2	PROPN
ejpam-6626	336	2	xβ	xβ	ADV
ejpam-6626	336	3	γ(β	γ(β	PROPN
ejpam-6626	336	4	+	+	CCONJ
ejpam-6626	336	5	1	1	NUM
ejpam-6626	336	6	)	)	PUNCT
ejpam-6626	336	7	)	)	PUNCT
ejpam-6626	337	1	[	[	X
ejpam-6626	337	2	−25sech2(−2	−25sech2(−2	NOUN
ejpam-6626	337	3	xβ	xβ	VERB
ejpam-6626	337	4	γ(β	γ(β	PROPN
ejpam-6626	337	5	+	+	CCONJ
ejpam-6626	337	6	1	1	NUM
ejpam-6626	337	7	)	)	PUNCT
ejpam-6626	337	8	)	)	PUNCT
ejpam-6626	338	1	+	+	CCONJ
ejpam-6626	339	1	40sech2(−2	40sech2(−2	NUM
ejpam-6626	339	2	xβ	xβ	ADV
ejpam-6626	339	3	γ(β	γ(β	PROPN
ejpam-6626	339	4	+	+	CCONJ
ejpam-6626	339	5	1	1	NUM
ejpam-6626	339	6	)	)	PUNCT
ejpam-6626	339	7	)	)	PUNCT
ejpam-6626	339	8	tanh(−2	tanh(−2	PROPN
ejpam-6626	339	9	xβ	xβ	NOUN
ejpam-6626	339	10	γ(β	γ(β	PROPN
ejpam-6626	339	11	+	+	CCONJ
ejpam-6626	339	12	1	1	NUM
ejpam-6626	339	13	)	)	PUNCT
ejpam-6626	339	14	)	)	PUNCT
ejpam-6626	340	1	−2tanh2(−2	−2tanh2(−2	PROPN
ejpam-6626	340	2	xβ	xβ	VERB
ejpam-6626	341	1	γ(β+1))−	γ(β+1))−	NOUN
ejpam-6626	341	2	32tanh3(−2	32tanh3(−2	NUM
ejpam-6626	341	3	xβ	xβ	ADV
ejpam-6626	341	4	γ(β+1	γ(β+1	NUM
ejpam-6626	341	5	)	)	PUNCT
ejpam-6626	341	6	)	)	PUNCT
ejpam-6626	342	1	+	+	CCONJ
ejpam-6626	343	1	96tanh(−2	96tanh(−2	NUM
ejpam-6626	343	2	xβ	xβ	NOUN
ejpam-6626	343	3	γ(β+1))]((1−	γ(β+1))]((1−	NOUN
ejpam-6626	343	4	γ)2	γ)2	NOUN
ejpam-6626	343	5	+	+	CCONJ
ejpam-6626	343	6	2γ(1−	2γ(1−	NUM
ejpam-6626	343	7	δ)t+	δ)t+	NOUN
ejpam-6626	343	8	γ2t2	γ2t2	NOUN
ejpam-6626	343	9	)	)	PUNCT
ejpam-6626	343	10	.	.	PUNCT
ejpam-6626	344	1	(	(	PUNCT
ejpam-6626	344	2	4.21	4.21	NUM
ejpam-6626	344	3	)	)	PUNCT
ejpam-6626	344	4	i.	i.	PROPN
ejpam-6626	344	5	kadri	kadri	PROPN
ejpam-6626	344	6	et	et	PROPN
ejpam-6626	344	7	al	al	PROPN
ejpam-6626	344	8	.	.	PUNCT
ejpam-6626	344	9	/	/	SYM
ejpam-6626	344	10	eur	eur	PROPN
ejpam-6626	344	11	.	.	PUNCT
ejpam-6626	345	1	j.	j.	PROPN
ejpam-6626	345	2	pure	pure	PROPN
ejpam-6626	345	3	appl	appl	PROPN
ejpam-6626	345	4	.	.	PROPN
ejpam-6626	345	5	math	math	PROPN
ejpam-6626	345	6	,	,	PUNCT
ejpam-6626	345	7	18	18	NUM
ejpam-6626	345	8	(	(	PUNCT
ejpam-6626	345	9	3	3	NUM
ejpam-6626	345	10	)	)	PUNCT
ejpam-6626	345	11	(	(	PUNCT
ejpam-6626	345	12	2025	2025	NUM
ejpam-6626	345	13	)	)	PUNCT
ejpam-6626	345	14	,	,	PUNCT
ejpam-6626	345	15	6626	6626	NUM
ejpam-6626	345	16	16	16	NUM
ejpam-6626	345	17	of	of	ADP
ejpam-6626	345	18	24	24	NUM
ejpam-6626	345	19	the	the	DET
ejpam-6626	345	20	other	other	ADJ
ejpam-6626	345	21	iterative	iterative	NOUN
ejpam-6626	345	22	terms	term	NOUN
ejpam-6626	345	23	can	can	AUX
ejpam-6626	345	24	be	be	AUX
ejpam-6626	345	25	employed	employ	VERB
ejpam-6626	345	26	in	in	ADP
ejpam-6626	345	27	precisely	precisely	ADV
ejpam-6626	345	28	the	the	DET
ejpam-6626	345	29	same	same	ADJ
ejpam-6626	345	30	manner	manner	NOUN
ejpam-6626	345	31	.	.	PUNCT
ejpam-6626	346	1	as	as	SCONJ
ejpam-6626	346	2	the	the	DET
ejpam-6626	346	3	solutions	solution	NOUN
ejpam-6626	346	4	are	be	AUX
ejpam-6626	346	5	defined	define	VERB
ejpam-6626	346	6	by	by	ADP
ejpam-6626	346	7	g(t	g(t	PROPN
ejpam-6626	346	8	,	,	PUNCT
ejpam-6626	346	9	x	x	X
ejpam-6626	346	10	)	)	PUNCT
ejpam-6626	347	1	=	=	SYM
ejpam-6626	347	2	g0(t	g0(t	PROPN
ejpam-6626	347	3	,	,	PUNCT
ejpam-6626	347	4	x	x	X
ejpam-6626	347	5	)	)	PUNCT
ejpam-6626	347	6	+	+	CCONJ
ejpam-6626	347	7	g1(t	g1(t	PROPN
ejpam-6626	347	8	,	,	PUNCT
ejpam-6626	347	9	x	x	NOUN
ejpam-6626	347	10	)	)	PUNCT
ejpam-6626	347	11	+	+	CCONJ
ejpam-6626	347	12	g2(t	g2(t	PROPN
ejpam-6626	347	13	,	,	PUNCT
ejpam-6626	347	14	x	x	NOUN
ejpam-6626	347	15	)	)	PUNCT
ejpam-6626	347	16	+	+	CCONJ
ejpam-6626	347	17	g3(t	g3(t	NUM
ejpam-6626	347	18	,	,	PUNCT
ejpam-6626	347	19	x	x	PRON
ejpam-6626	347	20	)	)	PUNCT
ejpam-6626	347	21	+	+	CCONJ
ejpam-6626	347	22	...	...	PUNCT
ejpam-6626	347	23	,	,	PUNCT
ejpam-6626	347	24	h(t	h(t	PROPN
ejpam-6626	347	25	,	,	PUNCT
ejpam-6626	347	26	x	x	X
ejpam-6626	347	27	)	)	PUNCT
ejpam-6626	347	28	=	=	SYM
ejpam-6626	347	29	h0(t	h0(t	PROPN
ejpam-6626	347	30	,	,	PUNCT
ejpam-6626	347	31	x	x	NOUN
ejpam-6626	347	32	)	)	PUNCT
ejpam-6626	347	33	+	+	CCONJ
ejpam-6626	347	34	h1(t	h1(t	ADV
ejpam-6626	347	35	,	,	PUNCT
ejpam-6626	347	36	x	x	NOUN
ejpam-6626	347	37	)	)	PUNCT
ejpam-6626	347	38	+	+	CCONJ
ejpam-6626	347	39	h2(t	h2(t	PROPN
ejpam-6626	347	40	,	,	PUNCT
ejpam-6626	347	41	x	x	PRON
ejpam-6626	347	42	)	)	PUNCT
ejpam-6626	347	43	+	+	CCONJ
ejpam-6626	347	44	h3(t	h3(t	PROPN
ejpam-6626	347	45	,	,	PUNCT
ejpam-6626	347	46	x	x	PRON
ejpam-6626	347	47	)	)	PUNCT
ejpam-6626	347	48	+	+	CCONJ
ejpam-6626	347	49	....	....	PUNCT
ejpam-6626	348	1	(	(	PUNCT
ejpam-6626	348	2	4.22	4.22	NUM
ejpam-6626	348	3	)	)	PUNCT
ejpam-6626	348	4	we	we	PRON
ejpam-6626	348	5	acquire	acquire	VERB
ejpam-6626	348	6	the	the	DET
ejpam-6626	348	7	desired	desire	VERB
ejpam-6626	348	8	following	follow	VERB
ejpam-6626	348	9	solutions	solution	NOUN
ejpam-6626	348	10	:	:	PUNCT
ejpam-6626	348	11	g(t	g(t	PROPN
ejpam-6626	348	12	,	,	PUNCT
ejpam-6626	348	13	x	x	X
ejpam-6626	348	14	)	)	PUNCT
ejpam-6626	348	15	=	=	SYM
ejpam-6626	348	16	1	1	NUM
ejpam-6626	348	17	2	2	NUM
ejpam-6626	348	18	−	−	NUM
ejpam-6626	348	19	8tanh(−2	8tanh(−2	NUM
ejpam-6626	348	20	xβ	xβ	ADV
ejpam-6626	349	1	γ(β	γ(β	PROPN
ejpam-6626	349	2	+	+	CCONJ
ejpam-6626	349	3	1	1	NUM
ejpam-6626	349	4	)	)	PUNCT
ejpam-6626	349	5	)	)	PUNCT
ejpam-6626	350	1	−	−	PROPN
ejpam-6626	351	1	8sech2(−2	8sech2(−2	NUM
ejpam-6626	351	2	xβ	xβ	NOUN
ejpam-6626	351	3	γ(β	γ(β	PROPN
ejpam-6626	351	4	+	+	CCONJ
ejpam-6626	351	5	1	1	NUM
ejpam-6626	351	6	)	)	PUNCT
ejpam-6626	351	7	)	)	PUNCT
ejpam-6626	352	1	(	(	PUNCT
ejpam-6626	352	2	1−	1−	NUM
ejpam-6626	352	3	γ	γ	X
ejpam-6626	352	4	+	+	CCONJ
ejpam-6626	352	5	γt	γt	NOUN
ejpam-6626	352	6	)	)	PUNCT
ejpam-6626	352	7	+16sech2(−2	+16sech2(−2	NUM
ejpam-6626	352	8	xβ	xβ	ADV
ejpam-6626	353	1	γ(1	γ(1	NOUN
ejpam-6626	353	2	+	+	NUM
ejpam-6626	353	3	β	β	NOUN
ejpam-6626	353	4	)	)	PUNCT
ejpam-6626	353	5	)	)	PUNCT
ejpam-6626	354	1	[	[	X
ejpam-6626	354	2	4sech2(−2	4sech2(−2	NUM
ejpam-6626	354	3	xβ	xβ	VERB
ejpam-6626	355	1	γ(1	γ(1	NOUN
ejpam-6626	355	2	+	+	NUM
ejpam-6626	355	3	β	β	NOUN
ejpam-6626	355	4	)	)	PUNCT
ejpam-6626	355	5	)	)	PUNCT
ejpam-6626	356	1	−	−	PROPN
ejpam-6626	356	2	8tanh2(−2	8tanh2(−2	NUM
ejpam-6626	356	3	xβ	xβ	NUM
ejpam-6626	357	1	γ(1	γ(1	PROPN
ejpam-6626	357	2	+	+	NUM
ejpam-6626	357	3	β	β	NOUN
ejpam-6626	357	4	)	)	PUNCT
ejpam-6626	357	5	)	)	PUNCT
ejpam-6626	358	1	+3tanh(−2	+3tanh(−2	ADP
ejpam-6626	358	2	xβ	xβ	VERB
ejpam-6626	359	1	γ(1	γ(1	PROPN
ejpam-6626	359	2	+	+	NUM
ejpam-6626	359	3	β	β	NOUN
ejpam-6626	359	4	)	)	PUNCT
ejpam-6626	359	5	)	)	PUNCT
ejpam-6626	359	6	]	]	PUNCT
ejpam-6626	359	7	(	(	PUNCT
ejpam-6626	359	8	(	(	PUNCT
ejpam-6626	359	9	1−	1−	NUM
ejpam-6626	359	10	γ)2	γ)2	NOUN
ejpam-6626	359	11	+	+	CCONJ
ejpam-6626	359	12	2γ(1−	2γ(1−	NUM
ejpam-6626	359	13	γ)t+	γ)t+	NOUN
ejpam-6626	359	14	γ2t2	γ2t2	PUNCT
ejpam-6626	359	15	)	)	PUNCT
ejpam-6626	359	16	+	+	CCONJ
ejpam-6626	359	17	.	.	PUNCT
ejpam-6626	359	18	.	.	PUNCT
ejpam-6626	359	19	.	.	PUNCT
ejpam-6626	360	1	(	(	PUNCT
ejpam-6626	360	2	4.23	4.23	NUM
ejpam-6626	360	3	)	)	PUNCT
ejpam-6626	360	4	h(t	h(t	PROPN
ejpam-6626	360	5	,	,	PUNCT
ejpam-6626	360	6	x	x	X
ejpam-6626	360	7	)	)	PUNCT
ejpam-6626	360	8	=	=	SYM
ejpam-6626	361	1	16−16tanh2(−2	16−16tanh2(−2	NUM
ejpam-6626	361	2	xβ	xβ	ADV
ejpam-6626	361	3	γ(β	γ(β	PROPN
ejpam-6626	361	4	+	+	CCONJ
ejpam-6626	361	5	1	1	NUM
ejpam-6626	361	6	)	)	PUNCT
ejpam-6626	361	7	)	)	PUNCT
ejpam-6626	362	1	−32sech2(−2	−32sech2(−2	PROPN
ejpam-6626	362	2	xβ	xβ	ADV
ejpam-6626	363	1	γ(β	γ(β	PROPN
ejpam-6626	363	2	+	+	CCONJ
ejpam-6626	363	3	1	1	NUM
ejpam-6626	363	4	)	)	PUNCT
ejpam-6626	363	5	)	)	PUNCT
ejpam-6626	364	1	tanh(−2	tanh(−2	PROPN
ejpam-6626	364	2	xβ	xβ	NOUN
ejpam-6626	364	3	γ(β	γ(β	PROPN
ejpam-6626	364	4	+	+	CCONJ
ejpam-6626	364	5	1	1	NUM
ejpam-6626	364	6	)	)	PUNCT
ejpam-6626	364	7	)	)	PUNCT
ejpam-6626	364	8	(	(	PUNCT
ejpam-6626	364	9	1−γ+γt	1−γ+γt	NUM
ejpam-6626	364	10	)	)	PUNCT
ejpam-6626	364	11	−32sech2(−2	−32sech2(−2	NOUN
ejpam-6626	364	12	xβ	xβ	ADV
ejpam-6626	364	13	γ(β	γ(β	PROPN
ejpam-6626	364	14	+	+	CCONJ
ejpam-6626	364	15	1	1	NUM
ejpam-6626	364	16	)	)	PUNCT
ejpam-6626	364	17	)	)	PUNCT
ejpam-6626	365	1	[	[	X
ejpam-6626	365	2	−25sech2(−2	−25sech2(−2	NOUN
ejpam-6626	365	3	xβ	xβ	VERB
ejpam-6626	365	4	γ(β	γ(β	PROPN
ejpam-6626	365	5	+	+	CCONJ
ejpam-6626	365	6	1	1	NUM
ejpam-6626	365	7	)	)	PUNCT
ejpam-6626	365	8	)	)	PUNCT
ejpam-6626	365	9	+40sech2(−2	+40sech2(−2	PART
ejpam-6626	366	1	xβ	xβ	ADV
ejpam-6626	366	2	γ(β	γ(β	PROPN
ejpam-6626	367	1	+	+	CCONJ
ejpam-6626	368	1	1	1	NUM
ejpam-6626	368	2	)	)	PUNCT
ejpam-6626	368	3	)	)	PUNCT
ejpam-6626	369	1	tanh(−2	tanh(−2	PROPN
ejpam-6626	369	2	xβ	xβ	NOUN
ejpam-6626	369	3	γ(β	γ(β	PROPN
ejpam-6626	369	4	+	+	CCONJ
ejpam-6626	369	5	1	1	NUM
ejpam-6626	369	6	)	)	PUNCT
ejpam-6626	369	7	)	)	PUNCT
ejpam-6626	370	1	−2tanh2(−2	−2tanh2(−2	PROPN
ejpam-6626	370	2	xβ	xβ	VERB
ejpam-6626	371	1	γ(β	γ(β	PROPN
ejpam-6626	371	2	+	+	CCONJ
ejpam-6626	371	3	1	1	NUM
ejpam-6626	371	4	)	)	PUNCT
ejpam-6626	371	5	)	)	PUNCT
ejpam-6626	372	1	−32tanh3(−2	−32tanh3(−2	PROPN
ejpam-6626	372	2	xβ	xβ	ADP
ejpam-6626	372	3	γ(β	γ(β	PROPN
ejpam-6626	372	4	+	+	CCONJ
ejpam-6626	372	5	1	1	NUM
ejpam-6626	372	6	)	)	PUNCT
ejpam-6626	372	7	)	)	PUNCT
ejpam-6626	373	1	+96tanh(−2	+96tanh(−2	ADP
ejpam-6626	373	2	xβ	xβ	NOUN
ejpam-6626	373	3	γ(β	γ(β	PROPN
ejpam-6626	373	4	+	+	CCONJ
ejpam-6626	373	5	1	1	NUM
ejpam-6626	373	6	)	)	PUNCT
ejpam-6626	373	7	)	)	PUNCT
ejpam-6626	374	1	]	]	PUNCT
ejpam-6626	374	2	(	(	PUNCT
ejpam-6626	374	3	(	(	PUNCT
ejpam-6626	374	4	1−γ)2	1−γ)2	NUM
ejpam-6626	374	5	+	+	NOUN
ejpam-6626	374	6	2γ(1−γ)t+γ2t2)+	2γ(1−γ)t+γ2t2)+	NUM
ejpam-6626	374	7	.	.	PUNCT
ejpam-6626	374	8	.	.	PUNCT
ejpam-6626	374	9	.	.	PUNCT
ejpam-6626	375	1	(	(	PUNCT
ejpam-6626	375	2	4.24	4.24	NUM
ejpam-6626	375	3	)	)	PUNCT
ejpam-6626	375	4	after	after	ADP
ejpam-6626	375	5	obtaining	obtain	VERB
ejpam-6626	375	6	the	the	DET
ejpam-6626	375	7	approximate	approximate	ADJ
ejpam-6626	375	8	solutions	solution	NOUN
ejpam-6626	375	9	for	for	ADP
ejpam-6626	375	10	the	the	DET
ejpam-6626	375	11	considered	consider	VERB
ejpam-6626	375	12	system	system	NOUN
ejpam-6626	375	13	,	,	PUNCT
ejpam-6626	375	14	they	they	PRON
ejpam-6626	375	15	are	be	AUX
ejpam-6626	375	16	represented	represent	VERB
ejpam-6626	375	17	in	in	ADP
ejpam-6626	375	18	3d	3d	NUM
ejpam-6626	375	19	with	with	ADP
ejpam-6626	375	20	different	different	ADJ
ejpam-6626	375	21	fractional	fractional	ADJ
ejpam-6626	375	22	derivatives	derivative	NOUN
ejpam-6626	375	23	values	value	NOUN
ejpam-6626	375	24	γ	γ	X
ejpam-6626	375	25	and	and	CCONJ
ejpam-6626	375	26	β	β	X
ejpam-6626	375	27	.	.	PUNCT
ejpam-6626	376	1	the	the	DET
ejpam-6626	376	2	surface	surface	NOUN
ejpam-6626	376	3	plots	plot	NOUN
ejpam-6626	376	4	can	can	AUX
ejpam-6626	376	5	be	be	AUX
ejpam-6626	376	6	seen	see	VERB
ejpam-6626	376	7	in	in	ADP
ejpam-6626	376	8	fig	fig	NOUN
ejpam-6626	376	9	.	.	PUNCT
ejpam-6626	377	1	(	(	PUNCT
ejpam-6626	377	2	7)-(8	7)-(8	NOUN
ejpam-6626	377	3	)	)	PUNCT
ejpam-6626	377	4	.	.	PUNCT
ejpam-6626	378	1	moreover	moreover	ADV
ejpam-6626	378	2	,	,	PUNCT
ejpam-6626	378	3	the	the	DET
ejpam-6626	378	4	behaviour	behaviour	NOUN
ejpam-6626	378	5	of	of	ADP
ejpam-6626	378	6	the	the	DET
ejpam-6626	378	7	solutions	solution	NOUN
ejpam-6626	378	8	g	g	NOUN
ejpam-6626	378	9	and	and	CCONJ
ejpam-6626	378	10	h	h	NOUN
ejpam-6626	378	11	to	to	ADP
ejpam-6626	378	12	the	the	DET
ejpam-6626	378	13	problem	problem	NOUN
ejpam-6626	378	14	(	(	PUNCT
ejpam-6626	378	15	4.17	4.17	NUM
ejpam-6626	378	16	-	-	SYM
ejpam-6626	378	17	4.18	4.18	NUM
ejpam-6626	378	18	)	)	PUNCT
ejpam-6626	378	19	for	for	ADP
ejpam-6626	378	20	different	different	ADJ
ejpam-6626	378	21	values	value	NOUN
ejpam-6626	378	22	of	of	ADP
ejpam-6626	378	23	fractional	fractional	ADJ
ejpam-6626	378	24	derivatives	derivative	NOUN
ejpam-6626	378	25	are	be	AUX
ejpam-6626	378	26	also	also	ADV
ejpam-6626	378	27	drawn	draw	VERB
ejpam-6626	378	28	in	in	ADP
ejpam-6626	378	29	2d	2d	NUM
ejpam-6626	378	30	as	as	SCONJ
ejpam-6626	378	31	follows	follow	VERB
ejpam-6626	378	32	.	.	PUNCT
ejpam-6626	379	1	(	(	PUNCT
ejpam-6626	379	2	a	a	X
ejpam-6626	379	3	)	)	PUNCT
ejpam-6626	379	4	(	(	PUNCT
ejpam-6626	379	5	b	b	X
ejpam-6626	379	6	)	)	PUNCT
ejpam-6626	379	7	(	(	PUNCT
ejpam-6626	379	8	c	c	X
ejpam-6626	379	9	)	)	PUNCT
ejpam-6626	379	10	figure	figure	NOUN
ejpam-6626	379	11	7	7	NUM
ejpam-6626	379	12	:	:	PUNCT
ejpam-6626	379	13	the	the	DET
ejpam-6626	379	14	approximate	approximate	ADJ
ejpam-6626	379	15	solution	solution	NOUN
ejpam-6626	379	16	g	g	PROPN
ejpam-6626	379	17	of	of	ADP
ejpam-6626	379	18	the	the	DET
ejpam-6626	379	19	problem	problem	NOUN
ejpam-6626	379	20	(	(	PUNCT
ejpam-6626	379	21	4.17	4.17	NUM
ejpam-6626	379	22	-	-	SYM
ejpam-6626	379	23	4.18	4.18	NUM
ejpam-6626	379	24	)	)	PUNCT
ejpam-6626	379	25	for	for	ADP
ejpam-6626	379	26	γ	γ	X
ejpam-6626	379	27	=	=	SYM
ejpam-6626	379	28	β	β	X
ejpam-6626	379	29	=	=	SYM
ejpam-6626	379	30	0.35	0.35	NUM
ejpam-6626	379	31	,	,	PUNCT
ejpam-6626	379	32	0.7	0.7	NUM
ejpam-6626	379	33	,	,	PUNCT
ejpam-6626	379	34	and	and	CCONJ
ejpam-6626	380	1	0.95	0.95	NUM
ejpam-6626	380	2	i.	i.	PROPN
ejpam-6626	380	3	kadri	kadri	PROPN
ejpam-6626	380	4	et	et	PROPN
ejpam-6626	380	5	al	al	PROPN
ejpam-6626	380	6	.	.	PUNCT
ejpam-6626	380	7	/	/	SYM
ejpam-6626	380	8	eur	eur	PROPN
ejpam-6626	380	9	.	.	PUNCT
ejpam-6626	381	1	j.	j.	PROPN
ejpam-6626	381	2	pure	pure	PROPN
ejpam-6626	381	3	appl	appl	PROPN
ejpam-6626	381	4	.	.	PROPN
ejpam-6626	381	5	math	math	PROPN
ejpam-6626	381	6	,	,	PUNCT
ejpam-6626	381	7	18	18	NUM
ejpam-6626	381	8	(	(	PUNCT
ejpam-6626	381	9	3	3	NUM
ejpam-6626	381	10	)	)	PUNCT
ejpam-6626	381	11	(	(	PUNCT
ejpam-6626	381	12	2025	2025	NUM
ejpam-6626	381	13	)	)	PUNCT
ejpam-6626	381	14	,	,	PUNCT
ejpam-6626	381	15	6626	6626	NUM
ejpam-6626	381	16	17	17	NUM
ejpam-6626	381	17	of	of	ADP
ejpam-6626	381	18	24	24	NUM
ejpam-6626	381	19	(	(	PUNCT
ejpam-6626	381	20	a	a	NOUN
ejpam-6626	381	21	)	)	PUNCT
ejpam-6626	381	22	(	(	PUNCT
ejpam-6626	381	23	b	b	X
ejpam-6626	381	24	)	)	PUNCT
ejpam-6626	381	25	(	(	PUNCT
ejpam-6626	381	26	c	c	X
ejpam-6626	381	27	)	)	PUNCT
ejpam-6626	381	28	figure	figure	NOUN
ejpam-6626	381	29	8	8	NUM
ejpam-6626	381	30	:	:	PUNCT
ejpam-6626	381	31	the	the	DET
ejpam-6626	381	32	approximate	approximate	ADJ
ejpam-6626	381	33	solution	solution	NOUN
ejpam-6626	381	34	h	h	NOUN
ejpam-6626	381	35	of	of	ADP
ejpam-6626	381	36	the	the	DET
ejpam-6626	381	37	problem	problem	NOUN
ejpam-6626	381	38	(	(	PUNCT
ejpam-6626	381	39	4.17	4.17	NUM
ejpam-6626	381	40	-	-	SYM
ejpam-6626	381	41	4.18	4.18	NUM
ejpam-6626	381	42	)	)	PUNCT
ejpam-6626	381	43	for	for	ADP
ejpam-6626	381	44	γ	γ	X
ejpam-6626	381	45	=	=	SYM
ejpam-6626	381	46	β	β	X
ejpam-6626	381	47	=	=	SYM
ejpam-6626	381	48	0.35	0.35	NUM
ejpam-6626	381	49	,	,	PUNCT
ejpam-6626	381	50	0.7	0.7	NUM
ejpam-6626	381	51	,	,	PUNCT
ejpam-6626	381	52	and	and	CCONJ
ejpam-6626	381	53	0.95	0.95	NUM
ejpam-6626	381	54	(	(	PUNCT
ejpam-6626	381	55	a	a	NOUN
ejpam-6626	381	56	)	)	PUNCT
ejpam-6626	381	57	(	(	PUNCT
ejpam-6626	381	58	b	b	X
ejpam-6626	381	59	)	)	PUNCT
ejpam-6626	381	60	figure	figure	NOUN
ejpam-6626	381	61	9	9	NUM
ejpam-6626	381	62	:	:	PUNCT
ejpam-6626	381	63	the	the	DET
ejpam-6626	381	64	approximate	approximate	ADJ
ejpam-6626	381	65	solution	solution	NOUN
ejpam-6626	381	66	g	g	PROPN
ejpam-6626	381	67	and	and	CCONJ
ejpam-6626	381	68	h	h	NOUN
ejpam-6626	381	69	of	of	ADP
ejpam-6626	381	70	the	the	DET
ejpam-6626	381	71	problem	problem	NOUN
ejpam-6626	381	72	(	(	PUNCT
ejpam-6626	381	73	4.17	4.17	NUM
ejpam-6626	381	74	-	-	SYM
ejpam-6626	381	75	4.18	4.18	NUM
ejpam-6626	381	76	)	)	PUNCT
ejpam-6626	381	77	in	in	ADP
ejpam-6626	381	78	2d	2d	NUM
ejpam-6626	381	79	5	5	NUM
ejpam-6626	381	80	.	.	PUNCT
ejpam-6626	381	81	convergence	convergence	NOUN
ejpam-6626	381	82	-	-	PUNCT
ejpam-6626	381	83	error	error	NOUN
ejpam-6626	381	84	analysis	analysis	NOUN
ejpam-6626	381	85	and	and	CCONJ
ejpam-6626	381	86	numerical	numerical	ADJ
ejpam-6626	381	87	findings	finding	NOUN
ejpam-6626	381	88	in	in	ADP
ejpam-6626	381	89	this	this	DET
ejpam-6626	381	90	part	part	NOUN
ejpam-6626	382	1	,	,	PUNCT
ejpam-6626	382	2	we	we	PRON
ejpam-6626	382	3	provide	provide	VERB
ejpam-6626	382	4	sufficient	sufficient	ADJ
ejpam-6626	382	5	conditions	condition	NOUN
ejpam-6626	382	6	for	for	ADP
ejpam-6626	382	7	convergence	convergence	NOUN
ejpam-6626	382	8	and	and	CCONJ
ejpam-6626	382	9	provide	provide	VERB
ejpam-6626	382	10	an	an	DET
ejpam-6626	382	11	error	error	NOUN
ejpam-6626	382	12	analysis	analysis	NOUN
ejpam-6626	382	13	for	for	ADP
ejpam-6626	382	14	the	the	DET
ejpam-6626	382	15	method	method	NOUN
ejpam-6626	382	16	described	describe	VERB
ejpam-6626	382	17	above	above	ADV
ejpam-6626	382	18	.	.	PUNCT
ejpam-6626	383	1	it	it	PRON
ejpam-6626	383	2	is	be	AUX
ejpam-6626	383	3	proposed	propose	VERB
ejpam-6626	383	4	that	that	SCONJ
ejpam-6626	383	5	the	the	DET
ejpam-6626	383	6	solution	solution	NOUN
ejpam-6626	383	7	is	be	AUX
ejpam-6626	383	8	presented	present	VERB
ejpam-6626	383	9	in	in	ADP
ejpam-6626	383	10	the	the	DET
ejpam-6626	383	11	form	form	NOUN
ejpam-6626	383	12	that	that	PRON
ejpam-6626	383	13	follows	follow	VERB
ejpam-6626	383	14	:	:	PUNCT
ejpam-6626	383	15	f(t	f(t	NOUN
ejpam-6626	383	16	,	,	PUNCT
ejpam-6626	383	17	x	x	X
ejpam-6626	383	18	)	)	PUNCT
ejpam-6626	383	19	=	=	SYM
ejpam-6626	384	1	∞∑	∞∑	NUM
ejpam-6626	384	2	j=0	j=0	PROPN
ejpam-6626	384	3	fj(t	fj(t	PROPN
ejpam-6626	384	4	,	,	PUNCT
ejpam-6626	384	5	x	x	NOUN
ejpam-6626	384	6	)	)	PUNCT
ejpam-6626	384	7	.	.	PUNCT
ejpam-6626	385	1	(	(	PUNCT
ejpam-6626	385	2	5.1	5.1	NUM
ejpam-6626	385	3	)	)	PUNCT
ejpam-6626	385	4	theorem	theorem	NOUN
ejpam-6626	385	5	1	1	NUM
ejpam-6626	385	6	.	.	PUNCT
ejpam-6626	386	1	let	let	VERB
ejpam-6626	386	2	f(t	f(t	PROPN
ejpam-6626	386	3	,	,	PUNCT
ejpam-6626	386	4	x	x	NOUN
ejpam-6626	386	5	)	)	PUNCT
ejpam-6626	386	6	and	and	CCONJ
ejpam-6626	386	7	∑∞	∑∞	PROPN
ejpam-6626	386	8	j=0	j=0	PROPN
ejpam-6626	386	9	fj(t	fj(t	PROPN
ejpam-6626	386	10	,	,	PUNCT
ejpam-6626	386	11	x	x	PRON
ejpam-6626	386	12	)	)	PUNCT
ejpam-6626	386	13	be	be	VERB
ejpam-6626	386	14	an	an	DET
ejpam-6626	386	15	exact	exact	ADJ
ejpam-6626	386	16	and	and	CCONJ
ejpam-6626	386	17	approximate	approximate	ADJ
ejpam-6626	386	18	solutions	solution	NOUN
ejpam-6626	386	19	,	,	PUNCT
ejpam-6626	386	20	respectively	respectively	ADV
ejpam-6626	386	21	.	.	PUNCT
ejpam-6626	387	1	then	then	ADV
ejpam-6626	387	2	the	the	DET
ejpam-6626	387	3	solution	solution	NOUN
ejpam-6626	387	4	(	(	PUNCT
ejpam-6626	387	5	5.1	5.1	NUM
ejpam-6626	387	6	)	)	PUNCT
ejpam-6626	387	7	is	be	AUX
ejpam-6626	387	8	convergent	convergent	ADJ
ejpam-6626	387	9	to	to	ADP
ejpam-6626	387	10	the	the	DET
ejpam-6626	387	11	exact	exact	ADJ
ejpam-6626	387	12	solution	solution	NOUN
ejpam-6626	387	13	provided	provide	VERB
ejpam-6626	387	14	that	that	SCONJ
ejpam-6626	387	15	there	there	PRON
ejpam-6626	387	16	exists	exist	VERB
ejpam-6626	387	17	0	0	PUNCT
ejpam-6626	387	18	<	<	X
ejpam-6626	387	19	k	k	X
ejpam-6626	387	20	<	<	X
ejpam-6626	387	21	1	1	NUM
ejpam-6626	387	22	s.t	s.t	PROPN
ejpam-6626	387	23	||fj+1(t	||fj+1(t	VERB
ejpam-6626	387	24	,	,	PUNCT
ejpam-6626	387	25	x)||	x)||	PROPN
ejpam-6626	387	26	≤	≤	NUM
ejpam-6626	387	27	k||fj(t	k||fj(t	NOUN
ejpam-6626	387	28	,	,	PUNCT
ejpam-6626	387	29	x)||	x)||	PROPN
ejpam-6626	387	30	,	,	PUNCT
ejpam-6626	387	31	(	(	PUNCT
ejpam-6626	387	32	5.2	5.2	NUM
ejpam-6626	387	33	)	)	PUNCT
ejpam-6626	387	34	for	for	ADP
ejpam-6626	387	35	some	some	DET
ejpam-6626	387	36	j0	j0	PROPN
ejpam-6626	387	37	s.t	s.t	PROPN
ejpam-6626	387	38	∀j	∀j	PROPN
ejpam-6626	387	39	≥	≥	PROPN
ejpam-6626	387	40	j0	j0	PROPN
ejpam-6626	387	41	.	.	PUNCT
ejpam-6626	388	1	this	this	DET
ejpam-6626	388	2	convergence	convergence	NOUN
ejpam-6626	388	3	is	be	AUX
ejpam-6626	388	4	also	also	ADV
ejpam-6626	388	5	determined	determine	VERB
ejpam-6626	388	6	in	in	ADP
ejpam-6626	388	7	another	another	DET
ejpam-6626	388	8	way	way	NOUN
ejpam-6626	388	9	.	.	PUNCT
ejpam-6626	389	1	definition	definition	NOUN
ejpam-6626	389	2	1	1	NUM
ejpam-6626	389	3	.	.	PUNCT
ejpam-6626	390	1	for	for	ADP
ejpam-6626	390	2	all	all	DET
ejpam-6626	390	3	j	j	PROPN
ejpam-6626	390	4	∈	∈	PROPN
ejpam-6626	390	5	n	n	NOUN
ejpam-6626	390	6	,	,	PUNCT
ejpam-6626	390	7	kj	kj	PROPN
ejpam-6626	390	8	is	be	AUX
ejpam-6626	390	9	defined	define	VERB
ejpam-6626	390	10	as	as	ADP
ejpam-6626	390	11	kj	kj	PROPN
ejpam-6626	390	12	=	=	PROPN
ejpam-6626	390	13	{	{	PUNCT
ejpam-6626	390	14	||fj+1(t	||fj+1(t	PROPN
ejpam-6626	390	15	,	,	PUNCT
ejpam-6626	390	16	x)||	x)||	PROPN
ejpam-6626	390	17	||fj(t	||fj(t	PROPN
ejpam-6626	390	18	,	,	PUNCT
ejpam-6626	390	19	x)||	x)||	PROPN
ejpam-6626	390	20	||fj(t	||fj(t	PROPN
ejpam-6626	390	21	,	,	PUNCT
ejpam-6626	390	22	x)||	x)||	NOUN
ejpam-6626	391	1	=	=	SYM
ejpam-6626	391	2	̸	̸	NUM
ejpam-6626	391	3	0	0	NUM
ejpam-6626	391	4	,	,	PUNCT
ejpam-6626	391	5	0	0	NUM
ejpam-6626	391	6	||fj(t	||fj(t	PROPN
ejpam-6626	391	7	,	,	PUNCT
ejpam-6626	391	8	x)||	x)||	NOUN
ejpam-6626	391	9	=	=	NOUN
ejpam-6626	391	10	0	0	X
ejpam-6626	391	11	.	.	PUNCT
ejpam-6626	391	12	i.	i.	PROPN
ejpam-6626	391	13	kadri	kadri	PROPN
ejpam-6626	391	14	et	et	PROPN
ejpam-6626	391	15	al	al	PROPN
ejpam-6626	391	16	.	.	PUNCT
ejpam-6626	391	17	/	/	SYM
ejpam-6626	391	18	eur	eur	PROPN
ejpam-6626	391	19	.	.	PUNCT
ejpam-6626	392	1	j.	j.	PROPN
ejpam-6626	392	2	pure	pure	PROPN
ejpam-6626	392	3	appl	appl	PROPN
ejpam-6626	392	4	.	.	PROPN
ejpam-6626	392	5	math	math	PROPN
ejpam-6626	392	6	,	,	PUNCT
ejpam-6626	392	7	18	18	NUM
ejpam-6626	392	8	(	(	PUNCT
ejpam-6626	392	9	3	3	NUM
ejpam-6626	392	10	)	)	PUNCT
ejpam-6626	392	11	(	(	PUNCT
ejpam-6626	392	12	2025	2025	NUM
ejpam-6626	392	13	)	)	PUNCT
ejpam-6626	392	14	,	,	PUNCT
ejpam-6626	392	15	6626	6626	NUM
ejpam-6626	392	16	18	18	NUM
ejpam-6626	392	17	of	of	ADP
ejpam-6626	392	18	24	24	NUM
ejpam-6626	392	19	theorem	theorem	NOUN
ejpam-6626	392	20	2	2	NUM
ejpam-6626	392	21	.	.	PUNCT
ejpam-6626	393	1	if	if	SCONJ
ejpam-6626	393	2	0	0	NUM
ejpam-6626	393	3	≤	≤	NUM
ejpam-6626	393	4	kj	kj	NOUN
ejpam-6626	393	5	<	<	X
ejpam-6626	393	6	1	1	NUM
ejpam-6626	393	7	for	for	ADP
ejpam-6626	393	8	j	j	PROPN
ejpam-6626	393	9	=	=	SYM
ejpam-6626	393	10	0	0	NUM
ejpam-6626	393	11	,	,	PUNCT
ejpam-6626	393	12	1	1	NUM
ejpam-6626	393	13	,	,	PUNCT
ejpam-6626	393	14	2	2	NUM
ejpam-6626	393	15	,	,	PUNCT
ejpam-6626	393	16	...	...	PUNCT
ejpam-6626	393	17	,	,	PUNCT
ejpam-6626	393	18	then	then	ADV
ejpam-6626	393	19	the	the	DET
ejpam-6626	393	20	approximate	approximate	ADJ
ejpam-6626	393	21	solution	solution	NOUN
ejpam-6626	393	22	∑∞	∑∞	X
ejpam-6626	393	23	j=0	j=0	PROPN
ejpam-6626	393	24	fj(t	fj(t	PROPN
ejpam-6626	393	25	,	,	PUNCT
ejpam-6626	393	26	x	x	X
ejpam-6626	393	27	)	)	PUNCT
ejpam-6626	393	28	converges	converge	VERB
ejpam-6626	393	29	to	to	ADP
ejpam-6626	393	30	the	the	DET
ejpam-6626	393	31	exact	exact	ADJ
ejpam-6626	393	32	solution	solution	NOUN
ejpam-6626	393	33	f(t	f(t	NOUN
ejpam-6626	393	34	,	,	PUNCT
ejpam-6626	393	35	x	x	NOUN
ejpam-6626	393	36	)	)	PUNCT
ejpam-6626	393	37	.	.	PUNCT
ejpam-6626	394	1	the	the	DET
ejpam-6626	394	2	estimate	estimate	NOUN
ejpam-6626	394	3	for	for	ADP
ejpam-6626	394	4	maximum	maximum	ADJ
ejpam-6626	394	5	absolute	absolute	ADJ
ejpam-6626	394	6	truncated	truncated	ADJ
ejpam-6626	394	7	error	error	NOUN
ejpam-6626	394	8	is	be	AUX
ejpam-6626	394	9	calculated	calculate	VERB
ejpam-6626	394	10	according	accord	VERB
ejpam-6626	394	11	to	to	ADP
ejpam-6626	394	12	the	the	DET
ejpam-6626	394	13	theorem	theorem	NOUN
ejpam-6626	394	14	presented	present	VERB
ejpam-6626	394	15	below	below	ADV
ejpam-6626	394	16	.	.	PUNCT
ejpam-6626	395	1	theorem	theorem	VERB
ejpam-6626	395	2	3	3	X
ejpam-6626	395	3	.	.	PUNCT
ejpam-6626	395	4	assume	assume	VERB
ejpam-6626	395	5	that	that	SCONJ
ejpam-6626	395	6	∑m	∑m	PROPN
ejpam-6626	395	7	j=0	j=0	PROPN
ejpam-6626	395	8	fj(t	fj(t	PROPN
ejpam-6626	395	9	,	,	PUNCT
ejpam-6626	395	10	x	x	PRON
ejpam-6626	395	11	)	)	PUNCT
ejpam-6626	395	12	is	be	AUX
ejpam-6626	395	13	an	an	DET
ejpam-6626	395	14	approximate	approximate	ADJ
ejpam-6626	395	15	solution	solution	NOUN
ejpam-6626	395	16	.	.	PUNCT
ejpam-6626	396	1	then	then	ADV
ejpam-6626	396	2	the	the	DET
ejpam-6626	396	3	maximum	maximum	ADJ
ejpam-6626	396	4	absolute	absolute	ADJ
ejpam-6626	396	5	error	error	NOUN
ejpam-6626	396	6	between	between	ADP
ejpam-6626	396	7	the	the	DET
ejpam-6626	396	8	exact	exact	ADJ
ejpam-6626	396	9	and	and	CCONJ
ejpam-6626	396	10	approximate	approximate	ADJ
ejpam-6626	396	11	solutions	solution	NOUN
ejpam-6626	396	12	is	be	AUX
ejpam-6626	396	13	defined	define	VERB
ejpam-6626	396	14	as	as	ADP
ejpam-6626	396	15	||f(t	||f(t	NOUN
ejpam-6626	396	16	,	,	PUNCT
ejpam-6626	396	17	x)−	x)−	PROPN
ejpam-6626	396	18	m∑	m∑	CCONJ
ejpam-6626	396	19	j=0	j=0	PROPN
ejpam-6626	396	20	fj(t	fj(t	PROPN
ejpam-6626	396	21	,	,	PUNCT
ejpam-6626	397	1	x)||	x)||	PROPN
ejpam-6626	397	2	≤	≤	NUM
ejpam-6626	398	1	km+1	km+1	PROPN
ejpam-6626	398	2	1−k	1−k	NUM
ejpam-6626	398	3	||f0(t	||f0(t	NOUN
ejpam-6626	398	4	,	,	PUNCT
ejpam-6626	398	5	x)||	x)||	PROPN
ejpam-6626	398	6	.	.	PUNCT
ejpam-6626	399	1	(	(	PUNCT
ejpam-6626	399	2	5.3	5.3	NUM
ejpam-6626	399	3	)	)	PUNCT
ejpam-6626	399	4	now	now	ADV
ejpam-6626	399	5	,	,	PUNCT
ejpam-6626	399	6	the	the	DET
ejpam-6626	399	7	absolute	absolute	ADJ
ejpam-6626	399	8	error	error	NOUN
ejpam-6626	399	9	between	between	ADP
ejpam-6626	399	10	the	the	DET
ejpam-6626	399	11	exact	exact	ADJ
ejpam-6626	399	12	and	and	CCONJ
ejpam-6626	399	13	approximate	approximate	ADJ
ejpam-6626	399	14	solutions	solution	NOUN
ejpam-6626	399	15	to	to	ADP
ejpam-6626	399	16	the	the	DET
ejpam-6626	399	17	problems	problem	NOUN
ejpam-6626	399	18	(	(	PUNCT
ejpam-6626	399	19	4.1	4.1	NUM
ejpam-6626	399	20	)	)	PUNCT
ejpam-6626	399	21	,	,	PUNCT
ejpam-6626	399	22	(	(	PUNCT
ejpam-6626	399	23	4.9	4.9	NUM
ejpam-6626	399	24	)	)	PUNCT
ejpam-6626	399	25	,	,	PUNCT
ejpam-6626	399	26	and	and	CCONJ
ejpam-6626	399	27	(	(	PUNCT
ejpam-6626	399	28	4.17	4.17	NUM
ejpam-6626	399	29	)	)	PUNCT
ejpam-6626	399	30	are	be	AUX
ejpam-6626	399	31	calculated	calculate	VERB
ejpam-6626	399	32	and	and	CCONJ
ejpam-6626	399	33	shown	show	VERB
ejpam-6626	399	34	in	in	ADP
ejpam-6626	399	35	the	the	DET
ejpam-6626	399	36	following	follow	VERB
ejpam-6626	399	37	tab	tab	NOUN
ejpam-6626	399	38	.	.	PUNCT
ejpam-6626	400	1	(	(	PUNCT
ejpam-6626	400	2	1)-(6	1)-(6	NUM
ejpam-6626	400	3	)	)	PUNCT
ejpam-6626	400	4	,	,	PUNCT
ejpam-6626	400	5	separately	separately	ADV
ejpam-6626	400	6	.	.	PUNCT
ejpam-6626	401	1	|gex	|gex	PROPN
ejpam-6626	401	2	.	.	PUNCT
ejpam-6626	402	1	−	−	PROPN
ejpam-6626	403	1	gappr.|	gappr.|	VERB
ejpam-6626	403	2	t	t	PROPN
ejpam-6626	403	3	γ	γ	X
ejpam-6626	403	4	=	=	SYM
ejpam-6626	403	5	β	β	X
ejpam-6626	403	6	=	=	SYM
ejpam-6626	403	7	0.35	0.35	NUM
ejpam-6626	403	8	γ	γ	X
ejpam-6626	403	9	=	=	SYM
ejpam-6626	403	10	β	β	X
ejpam-6626	403	11	=	=	SYM
ejpam-6626	403	12	0.5	0.5	NUM
ejpam-6626	403	13	γ	γ	X
ejpam-6626	403	14	=	=	SYM
ejpam-6626	403	15	β	β	X
ejpam-6626	403	16	=	=	SYM
ejpam-6626	403	17	0.75	0.75	NUM
ejpam-6626	403	18	γ	γ	X
ejpam-6626	403	19	=	=	SYM
ejpam-6626	403	20	β	β	X
ejpam-6626	403	21	=	=	NOUN
ejpam-6626	403	22	0.95	0.95	NUM
ejpam-6626	403	23	0.1	0.1	NUM
ejpam-6626	403	24	1.50265×	1.50265×	NUM
ejpam-6626	403	25	10−3	10−3	NUM
ejpam-6626	403	26	1.95801×	1.95801×	NUM
ejpam-6626	403	27	10−5	10−5	NUM
ejpam-6626	403	28	6.14509×	6.14509×	NUM
ejpam-6626	403	29	10−10	10−10	NUM
ejpam-6626	403	30	5.32907×	5.32907×	NUM
ejpam-6626	403	31	10−15	10−15	PROPN
ejpam-6626	403	32	0.2	0.2	NUM
ejpam-6626	403	33	2.04476×	2.04476×	NUM
ejpam-6626	403	34	10−3	10−3	NUM
ejpam-6626	403	35	2.92565×	2.92565×	NUM
ejpam-6626	403	36	10−5	10−5	NUM
ejpam-6626	403	37	9.93525×	9.93525×	NUM
ejpam-6626	403	38	10−10	10−10	NUM
ejpam-6626	403	39	7.10543×	7.10543×	NUM
ejpam-6626	403	40	10−15	10−15	PROPN
ejpam-6626	403	41	0.4	0.4	NUM
ejpam-6626	403	42	3.69422×	3.69422×	NUM
ejpam-6626	403	43	10−3	10−3	NUM
ejpam-6626	403	44	6.02222×	6.02222×	NOUN
ejpam-6626	403	45	10−5	10−5	NUM
ejpam-6626	403	46	2.27974×	2.27974×	NOUN
ejpam-6626	403	47	10−10	10−10	NUM
ejpam-6626	403	48	1.42109×	1.42109×	NUM
ejpam-6626	403	49	10−14	10−14	NUM
ejpam-6626	403	50	0.6	0.6	NUM
ejpam-6626	403	51	6.21062×	6.21062×	NOUN
ejpam-6626	403	52	10−3	10−3	NUM
ejpam-6626	403	53	108025×	108025×	NUM
ejpam-6626	403	54	10−4	10−4	NUM
ejpam-6626	403	55	4.29171×	4.29171×	NUM
ejpam-6626	403	56	10−9	10−9	NUM
ejpam-6626	403	57	2.84217×	2.84217×	NUM
ejpam-6626	403	58	10−14	10−14	NUM
ejpam-6626	403	59	0.8	0.8	NUM
ejpam-6626	403	60	9.63061×	9.63061×	NUM
ejpam-6626	403	61	10−3	10−3	NUM
ejpam-6626	403	62	173139×	173139×	NUM
ejpam-6626	403	63	10−4	10−4	NUM
ejpam-6626	403	64	7.03805×	7.03805×	NUM
ejpam-6626	403	65	10−9	10−9	NUM
ejpam-6626	403	66	4.44089×	4.44089×	NOUN
ejpam-6626	403	67	10−14	10−14	NUM
ejpam-6626	403	68	1.0	1.0	NUM
ejpam-6626	403	69	1.39675×	1.39675×	NUM
ejpam-6626	403	70	10−2	10−2	NUM
ejpam-6626	403	71	2.55749×	2.55749×	NUM
ejpam-6626	403	72	10−4	10−4	NUM
ejpam-6626	403	73	1.05225×	1.05225×	NUM
ejpam-6626	403	74	10−8	10−8	NUM
ejpam-6626	403	75	6.75016×	6.75016×	NUM
ejpam-6626	403	76	10−14	10−14	NUM
ejpam-6626	403	77	table	table	NOUN
ejpam-6626	403	78	1	1	NUM
ejpam-6626	403	79	:	:	PUNCT
ejpam-6626	403	80	absolute	absolute	ADJ
ejpam-6626	403	81	error	error	NOUN
ejpam-6626	403	82	between	between	ADP
ejpam-6626	403	83	the	the	DET
ejpam-6626	403	84	exact	exact	ADJ
ejpam-6626	403	85	and	and	CCONJ
ejpam-6626	403	86	approximate	approximate	ADJ
ejpam-6626	403	87	solution	solution	NOUN
ejpam-6626	403	88	g	g	PROPN
ejpam-6626	403	89	of	of	ADP
ejpam-6626	403	90	the	the	DET
ejpam-6626	403	91	problem	problem	NOUN
ejpam-6626	403	92	(	(	PUNCT
ejpam-6626	403	93	4.1	4.1	NUM
ejpam-6626	403	94	)	)	PUNCT
ejpam-6626	403	95	.	.	PUNCT
ejpam-6626	404	1	|hex	|hex	PROPN
ejpam-6626	404	2	.	.	PUNCT
ejpam-6626	405	1	−	−	PROPN
ejpam-6626	406	1	happr.|	happr.|	VERB
ejpam-6626	406	2	t	t	PROPN
ejpam-6626	406	3	γ	γ	X
ejpam-6626	406	4	=	=	SYM
ejpam-6626	406	5	β	β	X
ejpam-6626	406	6	=	=	SYM
ejpam-6626	406	7	0.35	0.35	NUM
ejpam-6626	406	8	γ	γ	X
ejpam-6626	406	9	=	=	SYM
ejpam-6626	406	10	β	β	X
ejpam-6626	406	11	=	=	SYM
ejpam-6626	406	12	0.5	0.5	NUM
ejpam-6626	406	13	γ	γ	X
ejpam-6626	406	14	=	=	SYM
ejpam-6626	406	15	β	β	X
ejpam-6626	406	16	=	=	SYM
ejpam-6626	406	17	0.75	0.75	NUM
ejpam-6626	406	18	γ	γ	X
ejpam-6626	406	19	=	=	SYM
ejpam-6626	406	20	β	β	X
ejpam-6626	406	21	=	=	NOUN
ejpam-6626	406	22	0.95	0.95	NUM
ejpam-6626	406	23	0.1	0.1	NUM
ejpam-6626	406	24	5.91396×	5.91396×	NUM
ejpam-6626	406	25	10−3	10−3	NUM
ejpam-6626	406	26	1.34564×	1.34564×	NOUN
ejpam-6626	406	27	10−5	10−5	NUM
ejpam-6626	406	28	9.90875×	9.90875×	NOUN
ejpam-6626	406	29	10−10	10−10	NUM
ejpam-6626	406	30	5.72004×	5.72004×	NUM
ejpam-6626	406	31	10−15	10−15	PROPN
ejpam-6626	406	32	0.2	0.2	NUM
ejpam-6626	406	33	2.00379×	2.00379×	NUM
ejpam-6626	406	34	10−3	10−3	NUM
ejpam-6626	406	35	7.71889×	7.71889×	NUM
ejpam-6626	406	36	10−5	10−5	NUM
ejpam-6626	406	37	4.07759×	4.07759×	NOUN
ejpam-6626	406	38	10−9	10−9	NUM
ejpam-6626	406	39	2.87398×	2.87398×	NUM
ejpam-6626	406	40	10−14	10−14	NUM
ejpam-6626	406	41	0.4	0.4	NUM
ejpam-6626	406	42	1.56917×	1.56917×	NUM
ejpam-6626	406	43	10−2	10−2	NUM
ejpam-6626	406	44	3.57241×	3.57241×	NUM
ejpam-6626	406	45	10−4	10−4	NUM
ejpam-6626	406	46	1.65687×	1.65687×	NUM
ejpam-6626	406	47	10−8	10−8	NUM
ejpam-6626	406	48	1.05689×	1.05689×	NOUN
ejpam-6626	406	49	10−13	10−13	PROPN
ejpam-6626	406	50	0.6	0.6	NUM
ejpam-6626	406	51	4.05531×	4.05531×	NUM
ejpam-6626	406	52	10−2	10−2	NUM
ejpam-6626	406	53	8.41049×	8.41049×	NUM
ejpam-6626	406	54	10−4	10−4	NUM
ejpam-6626	406	55	3.74073×	3.74073×	NUM
ejpam-6626	406	56	10−8	10−8	NUM
ejpam-6626	406	57	2.38151×	2.38151×	NUM
ejpam-6626	406	58	10−13	10−13	NUM
ejpam-6626	406	59	0.8	0.8	NUM
ejpam-6626	406	60	7.65353×	7.65353×	NUM
ejpam-6626	407	1	10−2	10−2	NUM
ejpam-6626	407	2	1.52828×	1.52828×	NUM
ejpam-6626	407	3	10−3	10−3	NUM
ejpam-6626	407	4	6.64439×	6.64439×	NOUN
ejpam-6626	407	5	10−8	10−8	NUM
ejpam-6626	407	6	4.19059×	4.19059×	VERB
ejpam-6626	408	1	10−13	10−13	PROPN
ejpam-6626	408	2	1.0	1.0	NUM
ejpam-6626	408	3	1.23619×	1.23619×	NUM
ejpam-6626	408	4	10−1	10−1	NUM
ejpam-6626	408	5	2.41829×	2.41829×	SYM
ejpam-6626	408	6	10−3	10−3	NUM
ejpam-6626	408	7	1.03475×	1.03475×	NUM
ejpam-6626	408	8	10−7	10−7	NUM
ejpam-6626	408	9	6.48432×	6.48432×	NUM
ejpam-6626	408	10	10−13	10−13	NUM
ejpam-6626	408	11	table	table	NOUN
ejpam-6626	408	12	2	2	NUM
ejpam-6626	408	13	:	:	PUNCT
ejpam-6626	408	14	absolute	absolute	ADJ
ejpam-6626	408	15	error	error	NOUN
ejpam-6626	408	16	between	between	ADP
ejpam-6626	408	17	the	the	DET
ejpam-6626	408	18	exact	exact	ADJ
ejpam-6626	408	19	and	and	CCONJ
ejpam-6626	408	20	approximate	approximate	ADJ
ejpam-6626	408	21	solution	solution	NOUN
ejpam-6626	408	22	h	h	NOUN
ejpam-6626	408	23	of	of	ADP
ejpam-6626	408	24	the	the	DET
ejpam-6626	408	25	problem	problem	NOUN
ejpam-6626	408	26	(	(	PUNCT
ejpam-6626	408	27	4.1	4.1	NUM
ejpam-6626	408	28	)	)	PUNCT
ejpam-6626	408	29	tab	tab	NOUN
ejpam-6626	408	30	.	.	NOUN
ejpam-6626	408	31	1	1	NUM
ejpam-6626	408	32	and	and	CCONJ
ejpam-6626	408	33	2	2	NUM
ejpam-6626	408	34	show	show	VERB
ejpam-6626	408	35	the	the	DET
ejpam-6626	408	36	absolute	absolute	ADJ
ejpam-6626	408	37	error	error	NOUN
ejpam-6626	408	38	between	between	ADP
ejpam-6626	408	39	the	the	DET
ejpam-6626	408	40	exact	exact	ADJ
ejpam-6626	408	41	and	and	CCONJ
ejpam-6626	408	42	approximate	approximate	ADJ
ejpam-6626	408	43	solutions	solution	NOUN
ejpam-6626	408	44	for	for	ADP
ejpam-6626	408	45	the	the	DET
ejpam-6626	408	46	wbk	wbk	NOUN
ejpam-6626	408	47	system	system	NOUN
ejpam-6626	408	48	(	(	PUNCT
ejpam-6626	408	49	4.1	4.1	NUM
ejpam-6626	408	50	)	)	PUNCT
ejpam-6626	408	51	.	.	PUNCT
ejpam-6626	409	1	as	as	SCONJ
ejpam-6626	409	2	it	it	PRON
ejpam-6626	409	3	is	be	AUX
ejpam-6626	409	4	seen	see	VERB
ejpam-6626	409	5	in	in	ADP
ejpam-6626	409	6	the	the	DET
ejpam-6626	409	7	given	give	VERB
ejpam-6626	409	8	tables	table	NOUN
ejpam-6626	409	9	,	,	PUNCT
ejpam-6626	409	10	the	the	DET
ejpam-6626	409	11	absolute	absolute	ADJ
ejpam-6626	409	12	error	error	NOUN
ejpam-6626	409	13	decreases	decrease	VERB
ejpam-6626	409	14	gradually	gradually	ADV
ejpam-6626	409	15	as	as	SCONJ
ejpam-6626	409	16	γ	γ	PROPN
ejpam-6626	409	17	and	and	CCONJ
ejpam-6626	409	18	β	β	X
ejpam-6626	409	19	increase	increase	NOUN
ejpam-6626	409	20	for	for	ADP
ejpam-6626	409	21	both	both	PRON
ejpam-6626	409	22	g	g	PROPN
ejpam-6626	409	23	and	and	CCONJ
ejpam-6626	409	24	h.	h.	PROPN
ejpam-6626	409	25	it	it	PRON
ejpam-6626	409	26	reaches	reach	VERB
ejpam-6626	409	27	around	around	ADP
ejpam-6626	409	28	10−15	10−15	PROPN
ejpam-6626	409	29	as	as	ADP
ejpam-6626	409	30	γ	γ	PROPN
ejpam-6626	409	31	,	,	PUNCT
ejpam-6626	409	32	β	β	X
ejpam-6626	409	33	→	→	SYM
ejpam-6626	409	34	1	1	NUM
ejpam-6626	409	35	while	while	SCONJ
ejpam-6626	409	36	i.	i.	PROPN
ejpam-6626	409	37	kadri	kadri	PROPN
ejpam-6626	409	38	et	et	PROPN
ejpam-6626	409	39	al	al	PROPN
ejpam-6626	409	40	.	.	PUNCT
ejpam-6626	409	41	/	/	SYM
ejpam-6626	409	42	eur	eur	PROPN
ejpam-6626	409	43	.	.	PUNCT
ejpam-6626	410	1	j.	j.	PROPN
ejpam-6626	410	2	pure	pure	PROPN
ejpam-6626	410	3	appl	appl	PROPN
ejpam-6626	410	4	.	.	PROPN
ejpam-6626	410	5	math	math	PROPN
ejpam-6626	410	6	,	,	PUNCT
ejpam-6626	410	7	18	18	NUM
ejpam-6626	410	8	(	(	PUNCT
ejpam-6626	410	9	3	3	NUM
ejpam-6626	410	10	)	)	PUNCT
ejpam-6626	410	11	(	(	PUNCT
ejpam-6626	410	12	2025	2025	NUM
ejpam-6626	410	13	)	)	PUNCT
ejpam-6626	410	14	,	,	PUNCT
ejpam-6626	410	15	6626	6626	NUM
ejpam-6626	410	16	19	19	NUM
ejpam-6626	410	17	of	of	ADP
ejpam-6626	410	18	24	24	NUM
ejpam-6626	410	19	the	the	DET
ejpam-6626	410	20	absolute	absolute	ADJ
ejpam-6626	410	21	error	error	NOUN
ejpam-6626	410	22	is	be	AUX
ejpam-6626	410	23	around	around	ADP
ejpam-6626	410	24	10−3	10−3	NUM
ejpam-6626	410	25	as	as	ADP
ejpam-6626	410	26	γ	γ	PROPN
ejpam-6626	410	27	,	,	PUNCT
ejpam-6626	410	28	β	β	X
ejpam-6626	410	29	→	→	SYM
ejpam-6626	410	30	0.35	0.35	NUM
ejpam-6626	410	31	for	for	ADP
ejpam-6626	410	32	smaller	small	ADJ
ejpam-6626	410	33	t.	t.	NOUN
ejpam-6626	410	34	tab	tab	NOUN
ejpam-6626	410	35	.	.	PUNCT
ejpam-6626	411	1	3	3	NUM
ejpam-6626	411	2	and	and	CCONJ
ejpam-6626	411	3	4	4	NUM
ejpam-6626	411	4	indicate	indicate	VERB
ejpam-6626	411	5	that	that	SCONJ
ejpam-6626	411	6	the	the	DET
ejpam-6626	411	7	absolute	absolute	ADJ
ejpam-6626	411	8	error	error	NOUN
ejpam-6626	411	9	also	also	ADV
ejpam-6626	411	10	reaches	reach	VERB
ejpam-6626	411	11	around	around	ADP
ejpam-6626	411	12	10−14	10−14	PROPN
ejpam-6626	411	13	and	and	CCONJ
ejpam-6626	411	14	10−13	10−13	NOUN
ejpam-6626	411	15	as	as	ADP
ejpam-6626	411	16	γ	γ	PROPN
ejpam-6626	411	17	,	,	PUNCT
ejpam-6626	411	18	β	β	X
ejpam-6626	411	19	→	→	SYM
ejpam-6626	411	20	1	1	NUM
ejpam-6626	411	21	while	while	SCONJ
ejpam-6626	411	22	it	it	PRON
ejpam-6626	411	23	is	be	AUX
ejpam-6626	411	24	around	around	ADP
ejpam-6626	411	25	10−2	10−2	NUM
ejpam-6626	411	26	and	and	CCONJ
ejpam-6626	411	27	10−1	10−1	NUM
ejpam-6626	411	28	as	as	ADP
ejpam-6626	411	29	γ	γ	PROPN
ejpam-6626	411	30	,	,	PUNCT
ejpam-6626	411	31	β	β	X
ejpam-6626	411	32	→	→	SYM
ejpam-6626	411	33	0.35	0.35	NUM
ejpam-6626	411	34	for	for	ADP
ejpam-6626	411	35	g	g	PROPN
ejpam-6626	411	36	and	and	CCONJ
ejpam-6626	411	37	h	h	NOUN
ejpam-6626	411	38	,	,	PUNCT
ejpam-6626	411	39	respectively	respectively	ADV
ejpam-6626	411	40	.	.	PUNCT
ejpam-6626	412	1	if	if	SCONJ
ejpam-6626	412	2	it	it	PRON
ejpam-6626	412	3	is	be	AUX
ejpam-6626	412	4	checked	check	VERB
ejpam-6626	412	5	for	for	ADP
ejpam-6626	412	6	the	the	DET
ejpam-6626	412	7	values	value	NOUN
ejpam-6626	412	8	of	of	ADP
ejpam-6626	412	9	t	t	PROPN
ejpam-6626	412	10	,	,	PUNCT
ejpam-6626	412	11	one	one	PRON
ejpam-6626	412	12	can	can	AUX
ejpam-6626	412	13	see	see	VERB
ejpam-6626	412	14	easily	easily	ADV
ejpam-6626	412	15	that	that	SCONJ
ejpam-6626	412	16	it	it	PRON
ejpam-6626	412	17	increases	increase	VERB
ejpam-6626	412	18	as	as	SCONJ
ejpam-6626	412	19	t	t	PROPN
ejpam-6626	412	20	goes	go	VERB
ejpam-6626	412	21	from	from	ADP
ejpam-6626	412	22	0	0	NUM
ejpam-6626	412	23	to	to	ADP
ejpam-6626	412	24	1	1	NUM
ejpam-6626	412	25	.	.	PUNCT
ejpam-6626	413	1	for	for	ADP
ejpam-6626	413	2	g	g	NOUN
ejpam-6626	413	3	,	,	PUNCT
ejpam-6626	413	4	it	it	PRON
ejpam-6626	413	5	gets	get	VERB
ejpam-6626	413	6	at	at	ADP
ejpam-6626	413	7	1.3×10−2	1.3×10−2	NUM
ejpam-6626	413	8	for	for	ADP
ejpam-6626	413	9	t	t	NOUN
ejpam-6626	413	10	=	=	SYM
ejpam-6626	413	11	1.0	1.0	NUM
ejpam-6626	413	12	while	while	SCONJ
ejpam-6626	413	13	it	it	PRON
ejpam-6626	413	14	is	be	AUX
ejpam-6626	413	15	1.5×	1.5×	NUM
ejpam-6626	413	16	10−3	10−3	NUM
ejpam-6626	413	17	for	for	ADP
ejpam-6626	413	18	t	t	NOUN
ejpam-6626	413	19	=	=	SYM
ejpam-6626	413	20	0.1	0.1	NUM
ejpam-6626	413	21	.	.	PUNCT
ejpam-6626	414	1	for	for	ADP
ejpam-6626	414	2	h	h	NOUN
ejpam-6626	414	3	,	,	PUNCT
ejpam-6626	414	4	it	it	PRON
ejpam-6626	414	5	attains	attain	VERB
ejpam-6626	414	6	to	to	ADP
ejpam-6626	414	7	1.2×	1.2×	PROPN
ejpam-6626	414	8	10−1	10−1	NUM
ejpam-6626	414	9	while	while	SCONJ
ejpam-6626	414	10	it	it	PRON
ejpam-6626	414	11	is	be	AUX
ejpam-6626	414	12	5.9×	5.9×	NUM
ejpam-6626	414	13	10−3	10−3	NUM
ejpam-6626	414	14	for	for	ADP
ejpam-6626	414	15	t	t	NOUN
ejpam-6626	414	16	=	=	SYM
ejpam-6626	414	17	0.1	0.1	NUM
ejpam-6626	414	18	.	.	PUNCT
ejpam-6626	415	1	furthermore	furthermore	ADV
ejpam-6626	415	2	,	,	PUNCT
ejpam-6626	415	3	it	it	PRON
ejpam-6626	415	4	takes	take	VERB
ejpam-6626	415	5	the	the	DET
ejpam-6626	415	6	values	value	NOUN
ejpam-6626	415	7	{	{	PUNCT
ejpam-6626	415	8	5.3	5.3	NUM
ejpam-6626	415	9	×	×	NOUN
ejpam-6626	415	10	10−15	10−15	NOUN
ejpam-6626	415	11	,	,	PUNCT
ejpam-6626	415	12	6.7	6.7	NUM
ejpam-6626	415	13	×	×	NOUN
ejpam-6626	415	14	10−14	10−14	NUM
ejpam-6626	415	15	}	}	PUNCT
ejpam-6626	415	16	for	for	ADP
ejpam-6626	415	17	t	t	NOUN
ejpam-6626	415	18	=	=	PUNCT
ejpam-6626	415	19	{	{	PUNCT
ejpam-6626	415	20	0.1	0.1	NUM
ejpam-6626	415	21	,	,	PUNCT
ejpam-6626	415	22	1.0	1.0	NUM
ejpam-6626	415	23	}	}	PUNCT
ejpam-6626	415	24	as	as	ADP
ejpam-6626	415	25	γ	γ	PROPN
ejpam-6626	415	26	,	,	PUNCT
ejpam-6626	415	27	β	β	X
ejpam-6626	415	28	→	→	SYM
ejpam-6626	415	29	0.95	0.95	NUM
ejpam-6626	415	30	.	.	PUNCT
ejpam-6626	416	1	|gex	|gex	PROPN
ejpam-6626	416	2	.	.	PUNCT
ejpam-6626	417	1	−	−	PROPN
ejpam-6626	418	1	gappr.|	gappr.|	VERB
ejpam-6626	418	2	t	t	PROPN
ejpam-6626	418	3	γ	γ	X
ejpam-6626	418	4	=	=	SYM
ejpam-6626	418	5	β	β	X
ejpam-6626	418	6	=	=	SYM
ejpam-6626	418	7	0.35	0.35	NUM
ejpam-6626	418	8	γ	γ	X
ejpam-6626	418	9	=	=	SYM
ejpam-6626	418	10	β	β	X
ejpam-6626	418	11	=	=	SYM
ejpam-6626	418	12	0.5	0.5	NUM
ejpam-6626	418	13	γ	γ	X
ejpam-6626	418	14	=	=	SYM
ejpam-6626	418	15	β	β	X
ejpam-6626	418	16	=	=	SYM
ejpam-6626	418	17	0.75	0.75	NUM
ejpam-6626	418	18	γ	γ	X
ejpam-6626	418	19	=	=	SYM
ejpam-6626	418	20	β	β	X
ejpam-6626	418	21	=	=	NOUN
ejpam-6626	418	22	0.95	0.95	NUM
ejpam-6626	418	23	0.1	0.1	NUM
ejpam-6626	418	24	1.88522×	1.88522×	NUM
ejpam-6626	418	25	10−3	10−3	NUM
ejpam-6626	418	26	2.06715×	2.06715×	NUM
ejpam-6626	418	27	10−5	10−5	NUM
ejpam-6626	418	28	5.53346×	5.53346×	NUM
ejpam-6626	418	29	10−10	10−10	NUM
ejpam-6626	418	30	5.50671×	5.50671×	NUM
ejpam-6626	418	31	10−14	10−14	NOUN
ejpam-6626	418	32	0.2	0.2	NUM
ejpam-6626	418	33	2.48246×	2.48246×	NUM
ejpam-6626	418	34	10−3	10−3	NUM
ejpam-6626	418	35	2.77811×	2.77811×	NUM
ejpam-6626	418	36	10−5	10−5	NUM
ejpam-6626	418	37	7.20409×	7.20409×	NOUN
ejpam-6626	418	38	10−10	10−10	NUM
ejpam-6626	418	39	8.88178×	8.88178×	NUM
ejpam-6626	418	40	10−15	10−15	NOUN
ejpam-6626	418	41	0.4	0.4	NUM
ejpam-6626	418	42	3.52542×	3.52542×	NUM
ejpam-6626	418	43	10−3	10−3	NUM
ejpam-6626	418	44	4.21993×	4.21993×	SYM
ejpam-6626	418	45	10−5	10−5	NUM
ejpam-6626	418	46	1.12275×	1.12275×	NOUN
ejpam-6626	418	47	10−9	10−9	NUM
ejpam-6626	418	48	1.42109×	1.42109×	NUM
ejpam-6626	418	49	10−14	10−14	NUM
ejpam-6626	418	50	0.6	0.6	NUM
ejpam-6626	418	51	4.51883×	4.51883×	NOUN
ejpam-6626	418	52	10−3	10−3	NUM
ejpam-6626	418	53	5.8159×	5.8159×	NOUN
ejpam-6626	418	54	10−5	10−5	NUM
ejpam-6626	418	55	1.65663×	1.65663×	NUM
ejpam-6626	418	56	10−9	10−9	NUM
ejpam-6626	418	57	2.66454×	2.66454×	NUM
ejpam-6626	418	58	10−14	10−14	NUM
ejpam-6626	418	59	0.8	0.8	NUM
ejpam-6626	418	60	5.51245×	5.51245×	NUM
ejpam-6626	418	61	10−3	10−3	NUM
ejpam-6626	418	62	7.62188×	7.62188×	NUM
ejpam-6626	418	63	10−5	10−5	NUM
ejpam-6626	418	64	2.36798×	2.36798×	NUM
ejpam-6626	418	65	10−9	10−9	NUM
ejpam-6626	418	66	3.90799×	3.90799×	NOUN
ejpam-6626	418	67	10−14	10−14	NUM
ejpam-6626	418	68	1.0	1.0	NUM
ejpam-6626	418	69	6.52445×	6.52445×	NUM
ejpam-6626	418	70	10−3	10−3	NUM
ejpam-6626	418	71	9.67237×	9.67237×	NUM
ejpam-6626	418	72	10−5	10−5	NUM
ejpam-6626	418	73	3.31146×	3.31146×	NUM
ejpam-6626	418	74	10−9	10−9	NUM
ejpam-6626	418	75	5.50671×	5.50671×	NUM
ejpam-6626	418	76	10−14	10−14	NUM
ejpam-6626	418	77	table	table	NOUN
ejpam-6626	418	78	3	3	NUM
ejpam-6626	418	79	:	:	PUNCT
ejpam-6626	418	80	absolute	absolute	ADJ
ejpam-6626	418	81	error	error	NOUN
ejpam-6626	418	82	between	between	ADP
ejpam-6626	418	83	the	the	DET
ejpam-6626	418	84	exact	exact	ADJ
ejpam-6626	418	85	and	and	CCONJ
ejpam-6626	418	86	approximate	approximate	ADJ
ejpam-6626	418	87	solution	solution	NOUN
ejpam-6626	418	88	g	g	PROPN
ejpam-6626	418	89	of	of	ADP
ejpam-6626	418	90	the	the	DET
ejpam-6626	418	91	problem	problem	NOUN
ejpam-6626	418	92	(	(	PUNCT
ejpam-6626	418	93	4.9	4.9	NUM
ejpam-6626	418	94	)	)	PUNCT
ejpam-6626	418	95	.	.	PUNCT
ejpam-6626	419	1	|hex	|hex	PROPN
ejpam-6626	419	2	.	.	PUNCT
ejpam-6626	420	1	−	−	PROPN
ejpam-6626	421	1	happr.|	happr.|	VERB
ejpam-6626	421	2	t	t	PROPN
ejpam-6626	421	3	γ	γ	X
ejpam-6626	421	4	=	=	SYM
ejpam-6626	421	5	β	β	X
ejpam-6626	421	6	=	=	SYM
ejpam-6626	421	7	0.35	0.35	NUM
ejpam-6626	421	8	γ	γ	X
ejpam-6626	421	9	=	=	SYM
ejpam-6626	421	10	β	β	X
ejpam-6626	421	11	=	=	SYM
ejpam-6626	421	12	0.5	0.5	NUM
ejpam-6626	421	13	γ	γ	X
ejpam-6626	421	14	=	=	SYM
ejpam-6626	421	15	β	β	X
ejpam-6626	421	16	=	=	SYM
ejpam-6626	421	17	0.75	0.75	NUM
ejpam-6626	421	18	γ	γ	X
ejpam-6626	421	19	=	=	SYM
ejpam-6626	421	20	β	β	X
ejpam-6626	421	21	=	=	NOUN
ejpam-6626	421	22	0.95	0.95	NUM
ejpam-6626	421	23	0.1	0.1	NUM
ejpam-6626	421	24	2.47306×	2.47306×	NUM
ejpam-6626	421	25	10−1	10−1	NUM
ejpam-6626	421	26	2.44281×	2.44281×	NUM
ejpam-6626	421	27	10−3	10−3	NUM
ejpam-6626	421	28	3.06249×	3.06249×	NOUN
ejpam-6626	421	29	10−8	10−8	NUM
ejpam-6626	421	30	3.33153×	3.33153×	NUM
ejpam-6626	422	1	10−14	10−14	NUM
ejpam-6626	422	2	0.2	0.2	NUM
ejpam-6626	422	3	2.74199×	2.74199×	NUM
ejpam-6626	422	4	10−1	10−1	NUM
ejpam-6626	422	5	2.94872×	2.94872×	NUM
ejpam-6626	422	6	10−3	10−3	NUM
ejpam-6626	422	7	4.49372×	4.49372×	NOUN
ejpam-6626	422	8	10−8	10−8	NUM
ejpam-6626	422	9	7.2239×	7.2239×	NOUN
ejpam-6626	422	10	10−14	10−14	NUM
ejpam-6626	422	11	0.4	0.4	NUM
ejpam-6626	422	12	3.09498×	3.09498×	NUM
ejpam-6626	422	13	10−1	10−1	NUM
ejpam-6626	422	14	3.72426×	3.72426×	NUM
ejpam-6626	422	15	10−3	10−3	NUM
ejpam-6626	422	16	7.39622×	7.39622×	NOUN
ejpam-6626	422	17	10−8	10−8	NUM
ejpam-6626	422	18	1.75933×	1.75933×	NUM
ejpam-6626	422	19	10−13	10−13	NUM
ejpam-6626	422	20	0.6	0.6	NUM
ejpam-6626	422	21	3.34918×	3.34918×	NUM
ejpam-6626	422	22	10−1	10−1	NUM
ejpam-6626	422	23	4.36154×	4.36154×	NUM
ejpam-6626	422	24	10−3	10−3	NUM
ejpam-6626	422	25	1.0436×	1.0436×	NUM
ejpam-6626	422	26	10−7	10−7	NUM
ejpam-6626	422	27	3.27597×	3.27597×	NUM
ejpam-6626	422	28	10−13	10−13	PROPN
ejpam-6626	422	29	0.8	0.8	NUM
ejpam-6626	422	30	3.55348×	3.55348×	NUM
ejpam-6626	422	31	10−1	10−1	NUM
ejpam-6626	422	32	4.92211×	4.92211×	NUM
ejpam-6626	422	33	10−3	10−3	NUM
ejpam-6626	422	34	1.36085×	1.36085×	NUM
ejpam-6626	422	35	10−7	10−7	NUM
ejpam-6626	422	36	5.18844×	5.18844×	NUM
ejpam-6626	422	37	10−13	10−13	PROPN
ejpam-6626	422	38	1.0	1.0	NUM
ejpam-6626	422	39	3.72604×	3.72604×	NUM
ejpam-6626	422	40	10−1	10−1	NUM
ejpam-6626	422	41	5.42929×	5.42929×	NUM
ejpam-6626	422	42	10−3	10−3	NUM
ejpam-6626	422	43	1.68860×	1.68860×	NUM
ejpam-6626	422	44	10−7	10−7	NUM
ejpam-6626	422	45	7.48604×	7.48604×	NUM
ejpam-6626	422	46	10−13	10−13	NOUN
ejpam-6626	422	47	table	table	NOUN
ejpam-6626	422	48	4	4	NUM
ejpam-6626	422	49	:	:	PUNCT
ejpam-6626	422	50	absolute	absolute	ADJ
ejpam-6626	422	51	error	error	NOUN
ejpam-6626	422	52	between	between	ADP
ejpam-6626	422	53	the	the	DET
ejpam-6626	422	54	exact	exact	ADJ
ejpam-6626	422	55	and	and	CCONJ
ejpam-6626	422	56	approximate	approximate	ADJ
ejpam-6626	422	57	solution	solution	NOUN
ejpam-6626	422	58	h	h	NOUN
ejpam-6626	422	59	of	of	ADP
ejpam-6626	422	60	the	the	DET
ejpam-6626	422	61	problem	problem	NOUN
ejpam-6626	422	62	(	(	PUNCT
ejpam-6626	422	63	4.9	4.9	NUM
ejpam-6626	422	64	)	)	PUNCT
ejpam-6626	422	65	.	.	PUNCT
ejpam-6626	423	1	tab	tab	NOUN
ejpam-6626	423	2	.	.	PROPN
ejpam-6626	423	3	3	3	NUM
ejpam-6626	423	4	and	and	CCONJ
ejpam-6626	423	5	4	4	NUM
ejpam-6626	423	6	,	,	PUNCT
ejpam-6626	423	7	the	the	DET
ejpam-6626	423	8	absolute	absolute	ADJ
ejpam-6626	423	9	errors	error	NOUN
ejpam-6626	423	10	between	between	ADP
ejpam-6626	423	11	the	the	DET
ejpam-6626	423	12	exact	exact	ADJ
ejpam-6626	423	13	and	and	CCONJ
ejpam-6626	423	14	approximate	approximate	ADJ
ejpam-6626	423	15	solutions	solution	NOUN
ejpam-6626	423	16	for	for	ADP
ejpam-6626	423	17	the	the	DET
ejpam-6626	423	18	wbk	wbk	NOUN
ejpam-6626	423	19	system	system	NOUN
ejpam-6626	423	20	(	(	PUNCT
ejpam-6626	423	21	4.9	4.9	NUM
ejpam-6626	423	22	)	)	PUNCT
ejpam-6626	423	23	are	be	AUX
ejpam-6626	423	24	shown	show	VERB
ejpam-6626	423	25	.	.	PUNCT
ejpam-6626	424	1	as	as	SCONJ
ejpam-6626	424	2	it	it	PRON
ejpam-6626	424	3	is	be	AUX
ejpam-6626	424	4	seen	see	VERB
ejpam-6626	424	5	in	in	ADP
ejpam-6626	424	6	these	these	DET
ejpam-6626	424	7	tables	table	NOUN
ejpam-6626	424	8	,	,	PUNCT
ejpam-6626	424	9	the	the	DET
ejpam-6626	424	10	absolute	absolute	ADJ
ejpam-6626	424	11	error	error	NOUN
ejpam-6626	424	12	decreases	decrease	VERB
ejpam-6626	424	13	gradually	gradually	ADV
ejpam-6626	424	14	as	as	SCONJ
ejpam-6626	424	15	γ	γ	PROPN
ejpam-6626	424	16	and	and	CCONJ
ejpam-6626	424	17	β	β	X
ejpam-6626	424	18	increase	increase	NOUN
ejpam-6626	424	19	for	for	ADP
ejpam-6626	424	20	both	both	PRON
ejpam-6626	424	21	g	g	NOUN
ejpam-6626	424	22	and	and	CCONJ
ejpam-6626	424	23	h	h	NOUN
ejpam-6626	424	24	,	,	PUNCT
ejpam-6626	424	25	same	same	ADJ
ejpam-6626	424	26	as	as	ADP
ejpam-6626	424	27	in	in	ADP
ejpam-6626	424	28	the	the	DET
ejpam-6626	424	29	system	system	NOUN
ejpam-6626	424	30	(	(	PUNCT
ejpam-6626	424	31	4.1	4.1	NUM
ejpam-6626	424	32	)	)	PUNCT
ejpam-6626	424	33	.	.	PUNCT
ejpam-6626	425	1	here	here	ADV
ejpam-6626	425	2	,	,	PUNCT
ejpam-6626	425	3	it	it	PRON
ejpam-6626	425	4	also	also	ADV
ejpam-6626	425	5	increases	increase	VERB
ejpam-6626	425	6	as	as	SCONJ
ejpam-6626	425	7	t	t	PROPN
ejpam-6626	425	8	goes	go	VERB
ejpam-6626	425	9	from	from	ADP
ejpam-6626	425	10	0	0	NUM
ejpam-6626	425	11	to	to	ADP
ejpam-6626	425	12	1	1	NUM
ejpam-6626	425	13	.	.	PUNCT
ejpam-6626	426	1	moreover	moreover	ADV
ejpam-6626	426	2	,	,	PUNCT
ejpam-6626	426	3	tab	tab	NOUN
ejpam-6626	426	4	.	.	NOUN
ejpam-6626	426	5	3	3	NUM
ejpam-6626	426	6	and	and	CCONJ
ejpam-6626	426	7	4	4	NUM
ejpam-6626	426	8	demonstrate	demonstrate	VERB
ejpam-6626	426	9	that	that	SCONJ
ejpam-6626	426	10	the	the	DET
ejpam-6626	426	11	absolute	absolute	ADJ
ejpam-6626	426	12	error	error	NOUN
ejpam-6626	426	13	also	also	ADV
ejpam-6626	426	14	reaches	reach	VERB
ejpam-6626	426	15	around	around	ADP
ejpam-6626	426	16	10−14	10−14	PROPN
ejpam-6626	426	17	and	and	CCONJ
ejpam-6626	426	18	10−13	10−13	NOUN
ejpam-6626	426	19	as	as	ADP
ejpam-6626	426	20	γ	γ	PROPN
ejpam-6626	426	21	,	,	PUNCT
ejpam-6626	426	22	β	β	X
ejpam-6626	426	23	→	→	SYM
ejpam-6626	426	24	1	1	NUM
ejpam-6626	426	25	while	while	SCONJ
ejpam-6626	426	26	it	it	PRON
ejpam-6626	426	27	is	be	AUX
ejpam-6626	426	28	around	around	ADP
ejpam-6626	426	29	10−3	10−3	NUM
ejpam-6626	426	30	and	and	CCONJ
ejpam-6626	426	31	10−1	10−1	NUM
ejpam-6626	426	32	as	as	ADP
ejpam-6626	426	33	γ	γ	PROPN
ejpam-6626	426	34	,	,	PUNCT
ejpam-6626	426	35	β	β	X
ejpam-6626	426	36	→	→	SYM
ejpam-6626	426	37	0.35	0.35	NUM
ejpam-6626	426	38	for	for	ADP
ejpam-6626	426	39	f	f	PROPN
ejpam-6626	426	40	and	and	CCONJ
ejpam-6626	426	41	g	g	NOUN
ejpam-6626	426	42	,	,	PUNCT
ejpam-6626	426	43	respectively	respectively	ADV
ejpam-6626	426	44	.	.	PUNCT
ejpam-6626	427	1	for	for	ADP
ejpam-6626	427	2	g	g	NOUN
ejpam-6626	427	3	,	,	PUNCT
ejpam-6626	427	4	it	it	PRON
ejpam-6626	427	5	reaches	reach	VERB
ejpam-6626	427	6	6.5	6.5	NUM
ejpam-6626	427	7	×	×	NOUN
ejpam-6626	427	8	10−3	10−3	NUM
ejpam-6626	427	9	for	for	ADP
ejpam-6626	427	10	t	t	NOUN
ejpam-6626	427	11	=	=	SYM
ejpam-6626	427	12	1.0	1.0	NUM
ejpam-6626	427	13	while	while	SCONJ
ejpam-6626	427	14	it	it	PRON
ejpam-6626	427	15	is	be	AUX
ejpam-6626	427	16	1.8	1.8	NUM
ejpam-6626	427	17	×	×	NOUN
ejpam-6626	427	18	10−3	10−3	NUM
ejpam-6626	427	19	for	for	ADP
ejpam-6626	427	20	t	t	NOUN
ejpam-6626	427	21	=	=	SYM
ejpam-6626	427	22	0.1	0.1	NUM
ejpam-6626	427	23	.	.	PUNCT
ejpam-6626	428	1	for	for	ADP
ejpam-6626	428	2	h	h	NOUN
ejpam-6626	428	3	,	,	PUNCT
ejpam-6626	428	4	it	it	PRON
ejpam-6626	428	5	gets	get	VERB
ejpam-6626	428	6	at	at	ADP
ejpam-6626	428	7	3.7	3.7	NUM
ejpam-6626	428	8	×	×	NOUN
ejpam-6626	428	9	10−1	10−1	NUM
ejpam-6626	428	10	for	for	ADP
ejpam-6626	428	11	t	t	PROPN
ejpam-6626	428	12	=	=	SYM
ejpam-6626	428	13	1	1	NUM
ejpam-6626	428	14	,	,	PUNCT
ejpam-6626	428	15	whereas	whereas	SCONJ
ejpam-6626	428	16	it	it	PRON
ejpam-6626	428	17	is	be	AUX
ejpam-6626	428	18	2.4	2.4	NUM
ejpam-6626	428	19	×	×	NOUN
ejpam-6626	428	20	10−1	10−1	NUM
ejpam-6626	428	21	for	for	ADP
ejpam-6626	428	22	t	t	NOUN
ejpam-6626	428	23	=	=	SYM
ejpam-6626	428	24	0.1	0.1	NUM
ejpam-6626	428	25	.	.	PUNCT
ejpam-6626	429	1	besides	besides	ADV
ejpam-6626	429	2	,	,	PUNCT
ejpam-6626	429	3	it	it	PRON
ejpam-6626	429	4	takes	take	VERB
ejpam-6626	429	5	the	the	DET
ejpam-6626	429	6	values	value	NOUN
ejpam-6626	429	7	{	{	PUNCT
ejpam-6626	429	8	3.3	3.3	NUM
ejpam-6626	429	9	×	×	NOUN
ejpam-6626	429	10	10−14	10−14	NUM
ejpam-6626	429	11	,	,	PUNCT
ejpam-6626	429	12	7.4	7.4	NUM
ejpam-6626	429	13	×	×	NOUN
ejpam-6626	429	14	10−13	10−13	PROPN
ejpam-6626	429	15	}	}	PUNCT
ejpam-6626	429	16	for	for	ADP
ejpam-6626	429	17	t	t	NOUN
ejpam-6626	429	18	=	=	PUNCT
ejpam-6626	429	19	{	{	PUNCT
ejpam-6626	429	20	0.1	0.1	NUM
ejpam-6626	429	21	,	,	PUNCT
ejpam-6626	429	22	1.0	1.0	NUM
ejpam-6626	429	23	}	}	PUNCT
ejpam-6626	429	24	as	as	ADP
ejpam-6626	429	25	α	α	PROPN
ejpam-6626	429	26	,	,	PUNCT
ejpam-6626	429	27	β	β	X
ejpam-6626	429	28	→	→	SYM
ejpam-6626	429	29	0.95	0.95	NUM
ejpam-6626	429	30	.	.	PUNCT
ejpam-6626	429	31	i.	i.	PROPN
ejpam-6626	429	32	kadri	kadri	PROPN
ejpam-6626	429	33	et	et	PROPN
ejpam-6626	429	34	al	al	PROPN
ejpam-6626	429	35	.	.	PUNCT
ejpam-6626	429	36	/	/	SYM
ejpam-6626	429	37	eur	eur	PROPN
ejpam-6626	429	38	.	.	PUNCT
ejpam-6626	430	1	j.	j.	PROPN
ejpam-6626	430	2	pure	pure	PROPN
ejpam-6626	430	3	appl	appl	PROPN
ejpam-6626	430	4	.	.	PROPN
ejpam-6626	430	5	math	math	PROPN
ejpam-6626	430	6	,	,	PUNCT
ejpam-6626	430	7	18	18	NUM
ejpam-6626	430	8	(	(	PUNCT
ejpam-6626	430	9	3	3	NUM
ejpam-6626	430	10	)	)	PUNCT
ejpam-6626	430	11	(	(	PUNCT
ejpam-6626	430	12	2025	2025	NUM
ejpam-6626	430	13	)	)	PUNCT
ejpam-6626	430	14	,	,	PUNCT
ejpam-6626	430	15	6626	6626	NUM
ejpam-6626	430	16	20	20	NUM
ejpam-6626	430	17	of	of	ADP
ejpam-6626	430	18	24	24	NUM
ejpam-6626	430	19	|gex	|gex	NOUN
ejpam-6626	430	20	.	.	PUNCT
ejpam-6626	431	1	−	−	PROPN
ejpam-6626	432	1	gappr.|	gappr.|	VERB
ejpam-6626	432	2	t	t	PROPN
ejpam-6626	432	3	γ	γ	X
ejpam-6626	432	4	=	=	SYM
ejpam-6626	432	5	β	β	X
ejpam-6626	432	6	=	=	SYM
ejpam-6626	432	7	0.35	0.35	NUM
ejpam-6626	432	8	γ	γ	X
ejpam-6626	432	9	=	=	SYM
ejpam-6626	432	10	β	β	X
ejpam-6626	432	11	=	=	SYM
ejpam-6626	432	12	0.5	0.5	NUM
ejpam-6626	432	13	γ	γ	X
ejpam-6626	432	14	=	=	SYM
ejpam-6626	432	15	β	β	X
ejpam-6626	432	16	=	=	SYM
ejpam-6626	432	17	0.75	0.75	NUM
ejpam-6626	432	18	γ	γ	X
ejpam-6626	432	19	=	=	SYM
ejpam-6626	432	20	β	β	X
ejpam-6626	432	21	=	=	PUNCT
ejpam-6626	432	22	0.95	0.95	NUM
ejpam-6626	432	23	0.1	0.1	NUM
ejpam-6626	432	24	1.81254×	1.81254×	NUM
ejpam-6626	432	25	10−2	10−2	NUM
ejpam-6626	432	26	1.78661×	1.78661×	NUM
ejpam-6626	432	27	10−4	10−4	NUM
ejpam-6626	432	28	2.28515×	2.28515×	NUM
ejpam-6626	432	29	10−9	10−9	NUM
ejpam-6626	432	30	3.55271×	3.55271×	NUM
ejpam-6626	432	31	10−15	10−15	NUM
ejpam-6626	432	32	0.2	0.2	NUM
ejpam-6626	432	33	2.00367×	2.00367×	NOUN
ejpam-6626	432	34	10−2	10−2	NUM
ejpam-6626	432	35	2.15021×	2.15021×	NUM
ejpam-6626	432	36	10−4	10−4	NUM
ejpam-6626	432	37	3.4817×	3.4817×	NUM
ejpam-6626	432	38	10−9	10−9	NUM
ejpam-6626	432	39	8.88178×	8.88178×	NUM
ejpam-6626	432	40	10−15	10−15	NOUN
ejpam-6626	432	41	0.4	0.4	NUM
ejpam-6626	432	42	2.25946×	2.25946×	NUM
ejpam-6626	432	43	10−2	10−2	NUM
ejpam-6626	432	44	2.7168×	2.7168×	NUM
ejpam-6626	432	45	10−4	10−4	NUM
ejpam-6626	432	46	6.03487×	6.03487×	NUM
ejpam-6626	432	47	10−9	10−9	NUM
ejpam-6626	432	48	2.13163×	2.13163×	NUM
ejpam-6626	432	49	10−14	10−14	PRON
ejpam-6626	432	50	0.6	0.6	NUM
ejpam-6626	432	51	2.4485×	2.4485×	NUM
ejpam-6626	432	52	10−2	10−2	NUM
ejpam-6626	432	53	3.19148×	3.19148×	NUM
ejpam-6626	432	54	10−4	10−4	NUM
ejpam-6626	432	55	8.8086×	8.8086×	NUM
ejpam-6626	432	56	10−9	10−9	NUM
ejpam-6626	432	57	4.26326×	4.26326×	NUM
ejpam-6626	432	58	10−14	10−14	NUM
ejpam-6626	432	59	0.8	0.8	NUM
ejpam-6626	432	60	2.60448×	2.60448×	NUM
ejpam-6626	432	61	10−2	10−2	NUM
ejpam-6626	432	62	3.6173×	3.6173×	NUM
ejpam-6626	432	63	10−4	10−4	NUM
ejpam-6626	432	64	1.17706×	1.17706×	NUM
ejpam-6626	432	65	10−8	10−8	NUM
ejpam-6626	432	66	6.75016×	6.75016×	NUM
ejpam-6626	432	67	10−14	10−14	NUM
ejpam-6626	432	68	1.0	1.0	NUM
ejpam-6626	432	69	2.73989×	2.73989×	NUM
ejpam-6626	432	70	10−2	10−2	NUM
ejpam-6626	432	71	4.01099×	4.01099×	NOUN
ejpam-6626	432	72	10−4	10−4	NUM
ejpam-6626	432	73	1.48857×	1.48857×	NUM
ejpam-6626	432	74	10−8	10−8	NUM
ejpam-6626	432	75	1.03029×	1.03029×	NUM
ejpam-6626	432	76	10−13	10−13	PROPN
ejpam-6626	432	77	table	table	NOUN
ejpam-6626	432	78	5	5	NUM
ejpam-6626	432	79	:	:	PUNCT
ejpam-6626	432	80	absolute	absolute	ADJ
ejpam-6626	432	81	error	error	NOUN
ejpam-6626	432	82	between	between	ADP
ejpam-6626	432	83	the	the	DET
ejpam-6626	432	84	exact	exact	ADJ
ejpam-6626	432	85	and	and	CCONJ
ejpam-6626	432	86	approximate	approximate	ADJ
ejpam-6626	432	87	solution	solution	NOUN
ejpam-6626	432	88	g	g	PROPN
ejpam-6626	432	89	of	of	ADP
ejpam-6626	432	90	the	the	DET
ejpam-6626	432	91	problem	problem	NOUN
ejpam-6626	432	92	(	(	PUNCT
ejpam-6626	432	93	4.17	4.17	NUM
ejpam-6626	432	94	)	)	PUNCT
ejpam-6626	432	95	.	.	PUNCT
ejpam-6626	433	1	|hex	|hex	PROPN
ejpam-6626	433	2	.	.	PUNCT
ejpam-6626	434	1	−	−	PROPN
ejpam-6626	435	1	happr.|	happr.|	VERB
ejpam-6626	435	2	t	t	PROPN
ejpam-6626	435	3	γ	γ	X
ejpam-6626	435	4	=	=	SYM
ejpam-6626	435	5	β	β	X
ejpam-6626	435	6	=	=	SYM
ejpam-6626	435	7	0.35	0.35	NUM
ejpam-6626	435	8	γ	γ	X
ejpam-6626	435	9	=	=	SYM
ejpam-6626	435	10	β	β	X
ejpam-6626	435	11	=	=	SYM
ejpam-6626	435	12	0.5	0.5	NUM
ejpam-6626	435	13	γ	γ	X
ejpam-6626	435	14	=	=	SYM
ejpam-6626	435	15	β	β	X
ejpam-6626	435	16	=	=	SYM
ejpam-6626	435	17	0.75	0.75	NUM
ejpam-6626	435	18	γ	γ	X
ejpam-6626	435	19	=	=	SYM
ejpam-6626	435	20	β	β	X
ejpam-6626	435	21	=	=	NOUN
ejpam-6626	435	22	0.95	0.95	NUM
ejpam-6626	435	23	0.1	0.1	NUM
ejpam-6626	435	24	2.37233×	2.37233×	NUM
ejpam-6626	435	25	10−1	10−1	NUM
ejpam-6626	435	26	2.33207×	2.33207×	NUM
ejpam-6626	435	27	10−3	10−3	NUM
ejpam-6626	435	28	3.0211×	3.0211×	NUM
ejpam-6626	435	29	10−8	10−8	NUM
ejpam-6626	435	30	3.88519×	3.88519×	NOUN
ejpam-6626	436	1	10−14	10−14	NUM
ejpam-6626	436	2	0.2	0.2	NUM
ejpam-6626	436	3	2.61046×	2.61046×	NUM
ejpam-6626	436	4	10−1	10−1	NUM
ejpam-6626	436	5	2.79242×	2.79242×	NUM
ejpam-6626	436	6	10−3	10−3	NUM
ejpam-6626	436	7	4.52939×	4.52939×	NOUN
ejpam-6626	436	8	10−8	10−8	NUM
ejpam-6626	436	9	9.60104×	9.60104×	NUM
ejpam-6626	436	10	10−14	10−14	NUM
ejpam-6626	436	11	0.4	0.4	NUM
ejpam-6626	436	12	2.92223×	2.92223×	NUM
ejpam-6626	436	13	10−1	10−1	NUM
ejpam-6626	436	14	3.50361×	3.50361×	NUM
ejpam-6626	436	15	10−3	10−3	NUM
ejpam-6626	436	16	7.74618×	7.74618×	NUM
ejpam-6626	436	17	10−8	10−8	NUM
ejpam-6626	436	18	2.68959×	2.68959×	NOUN
ejpam-6626	436	19	10−13	10−13	PRON
ejpam-6626	436	20	0.6	0.6	NUM
ejpam-6626	436	21	3.14592×	3.14592×	NUM
ejpam-6626	436	22	10−1	10−1	NUM
ejpam-6626	436	23	4.09156×	4.09156×	NOUN
ejpam-6626	436	24	10−3	10−3	NUM
ejpam-6626	436	25	1.12513×	1.12513×	NUM
ejpam-6626	436	26	10−7	10−7	NUM
ejpam-6626	436	27	5.31062×	5.31062×	NOUN
ejpam-6626	436	28	10−13	10−13	NUM
ejpam-6626	436	29	0.8	0.8	NUM
ejpam-6626	436	30	3.32501×	3.32501×	NUM
ejpam-6626	436	31	10−1	10−1	NUM
ejpam-6626	436	32	4.61058×	4.61058×	NOUN
ejpam-6626	436	33	10−3	10−3	NUM
ejpam-6626	436	34	1.50073×	1.50073×	NUM
ejpam-6626	436	35	10−7	10−7	NUM
ejpam-6626	436	36	8.72187×	8.72187×	NUM
ejpam-6626	436	37	10−13	10−13	PROPN
ejpam-6626	436	38	1.0	1.0	NUM
ejpam-6626	436	39	3.47563×	3.47563×	NUM
ejpam-6626	436	40	10−1	10−1	NUM
ejpam-6626	436	41	5.08115×	5.08115×	NUM
ejpam-6626	436	42	10−3	10−3	NUM
ejpam-6626	436	43	1.89684×	1.89684×	NUM
ejpam-6626	436	44	10−7	10−7	NUM
ejpam-6626	436	45	1.29011×	1.29011×	NUM
ejpam-6626	436	46	10−12	10−12	NOUN
ejpam-6626	436	47	table	table	NOUN
ejpam-6626	436	48	6	6	NUM
ejpam-6626	436	49	:	:	PUNCT
ejpam-6626	436	50	absolute	absolute	ADJ
ejpam-6626	436	51	error	error	NOUN
ejpam-6626	436	52	between	between	ADP
ejpam-6626	436	53	the	the	DET
ejpam-6626	436	54	exact	exact	ADJ
ejpam-6626	436	55	and	and	CCONJ
ejpam-6626	436	56	approximate	approximate	ADJ
ejpam-6626	436	57	solution	solution	NOUN
ejpam-6626	436	58	h	h	NOUN
ejpam-6626	436	59	of	of	ADP
ejpam-6626	436	60	the	the	DET
ejpam-6626	436	61	problem	problem	NOUN
ejpam-6626	436	62	(	(	PUNCT
ejpam-6626	436	63	4.17	4.17	NUM
ejpam-6626	436	64	)	)	PUNCT
ejpam-6626	436	65	.	.	PUNCT
ejpam-6626	437	1	from	from	ADP
ejpam-6626	437	2	tab	tab	PROPN
ejpam-6626	437	3	.	.	PROPN
ejpam-6626	437	4	5	5	NUM
ejpam-6626	437	5	and	and	CCONJ
ejpam-6626	437	6	6	6	NUM
ejpam-6626	437	7	,	,	PUNCT
ejpam-6626	437	8	it	it	PRON
ejpam-6626	437	9	is	be	AUX
ejpam-6626	437	10	seen	see	VERB
ejpam-6626	437	11	that	that	SCONJ
ejpam-6626	437	12	the	the	DET
ejpam-6626	437	13	absolute	absolute	ADJ
ejpam-6626	437	14	errors	error	NOUN
ejpam-6626	437	15	between	between	ADP
ejpam-6626	437	16	the	the	DET
ejpam-6626	437	17	exact	exact	ADJ
ejpam-6626	437	18	and	and	CCONJ
ejpam-6626	437	19	approximate	approximate	ADJ
ejpam-6626	437	20	solutions	solution	NOUN
ejpam-6626	437	21	for	for	ADP
ejpam-6626	437	22	the	the	DET
ejpam-6626	437	23	wbk	wbk	NOUN
ejpam-6626	437	24	system	system	NOUN
ejpam-6626	437	25	(	(	PUNCT
ejpam-6626	437	26	4.17	4.17	NUM
ejpam-6626	437	27	)	)	PUNCT
ejpam-6626	437	28	also	also	ADV
ejpam-6626	437	29	decrease	decrease	VERB
ejpam-6626	437	30	rapidly	rapidly	ADV
ejpam-6626	437	31	as	as	SCONJ
ejpam-6626	437	32	γ	γ	PROPN
ejpam-6626	437	33	and	and	CCONJ
ejpam-6626	437	34	β	β	X
ejpam-6626	437	35	increase	increase	NOUN
ejpam-6626	437	36	for	for	ADP
ejpam-6626	437	37	both	both	DET
ejpam-6626	437	38	f	f	PROPN
ejpam-6626	437	39	and	and	CCONJ
ejpam-6626	437	40	g.	g.	PROPN
ejpam-6626	437	41	note	note	VERB
ejpam-6626	437	42	that	that	SCONJ
ejpam-6626	437	43	it	it	PRON
ejpam-6626	437	44	increases	increase	VERB
ejpam-6626	437	45	as	as	SCONJ
ejpam-6626	437	46	t	t	PROPN
ejpam-6626	437	47	goes	go	VERB
ejpam-6626	437	48	from	from	ADP
ejpam-6626	437	49	0	0	NUM
ejpam-6626	437	50	to	to	ADP
ejpam-6626	437	51	1	1	NUM
ejpam-6626	437	52	,	,	PUNCT
ejpam-6626	437	53	as	as	ADV
ejpam-6626	437	54	well	well	ADV
ejpam-6626	437	55	.	.	PUNCT
ejpam-6626	438	1	furthermore	furthermore	ADV
ejpam-6626	438	2	,	,	PUNCT
ejpam-6626	438	3	tab	tab	NOUN
ejpam-6626	438	4	.	.	NOUN
ejpam-6626	438	5	5	5	NUM
ejpam-6626	438	6	and	and	CCONJ
ejpam-6626	438	7	6	6	NUM
ejpam-6626	438	8	show	show	VERB
ejpam-6626	438	9	that	that	SCONJ
ejpam-6626	438	10	the	the	DET
ejpam-6626	438	11	absolute	absolute	ADJ
ejpam-6626	438	12	error	error	NOUN
ejpam-6626	438	13	also	also	ADV
ejpam-6626	438	14	reaches	reach	VERB
ejpam-6626	438	15	around	around	ADP
ejpam-6626	438	16	10−13	10−13	PROPN
ejpam-6626	438	17	and	and	CCONJ
ejpam-6626	438	18	10−12	10−12	NOUN
ejpam-6626	438	19	as	as	ADP
ejpam-6626	438	20	γ	γ	PROPN
ejpam-6626	438	21	,	,	PUNCT
ejpam-6626	438	22	β	β	X
ejpam-6626	438	23	→	→	SYM
ejpam-6626	438	24	1	1	NUM
ejpam-6626	438	25	while	while	SCONJ
ejpam-6626	438	26	it	it	PRON
ejpam-6626	438	27	is	be	AUX
ejpam-6626	438	28	around	around	ADP
ejpam-6626	438	29	10−2	10−2	NUM
ejpam-6626	438	30	and	and	CCONJ
ejpam-6626	438	31	10−1	10−1	NUM
ejpam-6626	438	32	as	as	ADP
ejpam-6626	438	33	γ	γ	PROPN
ejpam-6626	438	34	,	,	PUNCT
ejpam-6626	438	35	β	β	X
ejpam-6626	438	36	→	→	SYM
ejpam-6626	438	37	0.35	0.35	NUM
ejpam-6626	438	38	for	for	ADP
ejpam-6626	438	39	f	f	PROPN
ejpam-6626	438	40	and	and	CCONJ
ejpam-6626	438	41	g	g	NOUN
ejpam-6626	438	42	,	,	PUNCT
ejpam-6626	438	43	respectively	respectively	ADV
ejpam-6626	438	44	.	.	PUNCT
ejpam-6626	439	1	for	for	ADP
ejpam-6626	439	2	g	g	NOUN
ejpam-6626	439	3	,	,	PUNCT
ejpam-6626	439	4	it	it	PRON
ejpam-6626	439	5	reaches	reach	VERB
ejpam-6626	439	6	6.5×10−3	6.5×10−3	NUM
ejpam-6626	439	7	for	for	ADP
ejpam-6626	439	8	t	t	NOUN
ejpam-6626	439	9	=	=	SYM
ejpam-6626	439	10	1.0	1.0	NUM
ejpam-6626	439	11	while	while	SCONJ
ejpam-6626	439	12	it	it	PRON
ejpam-6626	439	13	is	be	AUX
ejpam-6626	439	14	1.8×10−3	1.8×10−3	NUM
ejpam-6626	439	15	for	for	ADP
ejpam-6626	439	16	t	t	NOUN
ejpam-6626	439	17	=	=	SYM
ejpam-6626	439	18	0.1	0.1	NUM
ejpam-6626	439	19	.	.	PUNCT
ejpam-6626	440	1	for	for	ADP
ejpam-6626	440	2	h	h	NOUN
ejpam-6626	440	3	,	,	PUNCT
ejpam-6626	440	4	it	it	PRON
ejpam-6626	440	5	gets	get	VERB
ejpam-6626	440	6	at	at	ADP
ejpam-6626	440	7	3.7×10−1	3.7×10−1	NUM
ejpam-6626	440	8	for	for	ADP
ejpam-6626	440	9	t	t	NOUN
ejpam-6626	440	10	=	=	SYM
ejpam-6626	440	11	1	1	NUM
ejpam-6626	440	12	,	,	PUNCT
ejpam-6626	440	13	whereas	whereas	SCONJ
ejpam-6626	440	14	it	it	PRON
ejpam-6626	440	15	is	be	AUX
ejpam-6626	440	16	2.4×	2.4×	NUM
ejpam-6626	440	17	10−1	10−1	NUM
ejpam-6626	440	18	for	for	ADP
ejpam-6626	440	19	t	t	NOUN
ejpam-6626	440	20	=	=	SYM
ejpam-6626	440	21	0.1	0.1	NUM
ejpam-6626	440	22	.	.	PUNCT
ejpam-6626	441	1	besides	besides	ADV
ejpam-6626	441	2	,	,	PUNCT
ejpam-6626	441	3	it	it	PRON
ejpam-6626	441	4	takes	take	VERB
ejpam-6626	441	5	the	the	DET
ejpam-6626	441	6	values	value	NOUN
ejpam-6626	441	7	{	{	PUNCT
ejpam-6626	441	8	3.3×	3.3×	NUM
ejpam-6626	441	9	10−14	10−14	NUM
ejpam-6626	441	10	,	,	PUNCT
ejpam-6626	441	11	7.4×	7.4×	NUM
ejpam-6626	441	12	10−13	10−13	NOUN
ejpam-6626	441	13	}	}	PUNCT
ejpam-6626	441	14	for	for	ADP
ejpam-6626	441	15	t	t	NOUN
ejpam-6626	441	16	=	=	PUNCT
ejpam-6626	441	17	{	{	PUNCT
ejpam-6626	441	18	0.1	0.1	NUM
ejpam-6626	441	19	,	,	PUNCT
ejpam-6626	441	20	1.0	1.0	NUM
ejpam-6626	441	21	}	}	PUNCT
ejpam-6626	441	22	as	as	ADP
ejpam-6626	441	23	γ	γ	PROPN
ejpam-6626	441	24	,	,	PUNCT
ejpam-6626	441	25	β	β	X
ejpam-6626	441	26	→	→	SYM
ejpam-6626	441	27	0.95	0.95	NUM
ejpam-6626	441	28	.	.	NOUN
ejpam-6626	442	1	6	6	NUM
ejpam-6626	442	2	.	.	X
ejpam-6626	442	3	conclusion	conclusion	NOUN
ejpam-6626	442	4	this	this	DET
ejpam-6626	442	5	paper	paper	NOUN
ejpam-6626	442	6	presented	present	VERB
ejpam-6626	442	7	a	a	DET
ejpam-6626	442	8	new	new	ADJ
ejpam-6626	442	9	approach	approach	NOUN
ejpam-6626	442	10	to	to	ADP
ejpam-6626	442	11	solving	solve	VERB
ejpam-6626	442	12	and	and	CCONJ
ejpam-6626	442	13	analyzing	analyze	VERB
ejpam-6626	442	14	the	the	DET
ejpam-6626	442	15	non	non	ADJ
ejpam-6626	442	16	-	-	ADJ
ejpam-6626	442	17	linear	linear	ADJ
ejpam-6626	442	18	time	time	NOUN
ejpam-6626	442	19	fractional	fractional	ADJ
ejpam-6626	442	20	whitham	whitham	NOUN
ejpam-6626	442	21	-	-	PUNCT
ejpam-6626	442	22	broer	broer	NOUN
ejpam-6626	442	23	-	-	PUNCT
ejpam-6626	442	24	kaup	kaup	PROPN
ejpam-6626	442	25	(	(	PUNCT
ejpam-6626	442	26	wbk	wbk	NOUN
ejpam-6626	442	27	)	)	PUNCT
ejpam-6626	442	28	equations	equation	NOUN
ejpam-6626	442	29	,	,	PUNCT
ejpam-6626	442	30	employing	employ	VERB
ejpam-6626	442	31	the	the	DET
ejpam-6626	442	32	powerful	powerful	ADJ
ejpam-6626	442	33	aboodh	aboodh	ADJ
ejpam-6626	442	34	decomposition	decomposition	NOUN
ejpam-6626	442	35	transform	transform	NOUN
ejpam-6626	442	36	(	(	PUNCT
ejpam-6626	442	37	adt	adt	NOUN
ejpam-6626	442	38	)	)	PUNCT
ejpam-6626	442	39	.	.	PUNCT
ejpam-6626	443	1	this	this	DET
ejpam-6626	443	2	method	method	NOUN
ejpam-6626	443	3	successfully	successfully	ADV
ejpam-6626	443	4	harnessed	harness	VERB
ejpam-6626	443	5	the	the	DET
ejpam-6626	443	6	power	power	NOUN
ejpam-6626	443	7	of	of	ADP
ejpam-6626	443	8	the	the	DET
ejpam-6626	443	9	aboodh	aboodh	PROPN
ejpam-6626	443	10	transform	transform	NOUN
ejpam-6626	443	11	with	with	ADP
ejpam-6626	443	12	the	the	DET
ejpam-6626	443	13	adomian	adomian	NOUN
ejpam-6626	443	14	decomposition	decomposition	NOUN
ejpam-6626	443	15	method	method	NOUN
ejpam-6626	443	16	,	,	PUNCT
ejpam-6626	443	17	which	which	PRON
ejpam-6626	443	18	can	can	AUX
ejpam-6626	443	19	efficiently	efficiently	ADV
ejpam-6626	443	20	handle	handle	VERB
ejpam-6626	443	21	nonlinearity	nonlinearity	NOUN
ejpam-6626	443	22	and	and	CCONJ
ejpam-6626	443	23	fractional	fractional	ADJ
ejpam-6626	443	24	derivatives	derivative	NOUN
ejpam-6626	443	25	arising	arise	VERB
ejpam-6626	443	26	in	in	ADP
ejpam-6626	443	27	the	the	DET
ejpam-6626	443	28	equations	equation	NOUN
ejpam-6626	443	29	.	.	PUNCT
ejpam-6626	444	1	by	by	ADP
ejpam-6626	444	2	decomposing	decompose	VERB
ejpam-6626	444	3	the	the	DET
ejpam-6626	444	4	solution	solution	NOUN
ejpam-6626	444	5	into	into	ADP
ejpam-6626	444	6	an	an	DET
ejpam-6626	444	7	infinite	infinite	ADJ
ejpam-6626	444	8	series	series	NOUN
ejpam-6626	444	9	of	of	ADP
ejpam-6626	444	10	components	component	NOUN
ejpam-6626	444	11	,	,	PUNCT
ejpam-6626	444	12	adt	adt	NOUN
ejpam-6626	444	13	effectively	effectively	ADV
ejpam-6626	444	14	addressed	address	VERB
ejpam-6626	444	15	the	the	DET
ejpam-6626	444	16	non	non	ADJ
ejpam-6626	444	17	-	-	ADJ
ejpam-6626	444	18	linear	linear	ADJ
ejpam-6626	444	19	terms	term	NOUN
ejpam-6626	444	20	and	and	CCONJ
ejpam-6626	444	21	facilitated	facilitate	VERB
ejpam-6626	444	22	the	the	DET
ejpam-6626	444	23	calculation	calculation	NOUN
ejpam-6626	444	24	of	of	ADP
ejpam-6626	444	25	analytical	analytical	ADJ
ejpam-6626	444	26	and	and	CCONJ
ejpam-6626	444	27	approximate	approximate	ADJ
ejpam-6626	444	28	solutions	solution	NOUN
ejpam-6626	444	29	under	under	ADP
ejpam-6626	444	30	different	different	ADJ
ejpam-6626	444	31	fractional	fractional	ADJ
ejpam-6626	444	32	derivative	derivative	ADJ
ejpam-6626	444	33	operators	operator	NOUN
ejpam-6626	444	34	.	.	PUNCT
ejpam-6626	445	1	the	the	DET
ejpam-6626	445	2	solutions	solution	NOUN
ejpam-6626	445	3	are	be	AUX
ejpam-6626	445	4	compared	compare	VERB
ejpam-6626	445	5	to	to	ADP
ejpam-6626	445	6	different	different	ADJ
ejpam-6626	445	7	values	value	NOUN
ejpam-6626	445	8	of	of	ADP
ejpam-6626	445	9	γ	γ	PROPN
ejpam-6626	445	10	and	and	CCONJ
ejpam-6626	445	11	β	β	PROPN
ejpam-6626	445	12	in	in	ADP
ejpam-6626	445	13	i.	i.	PROPN
ejpam-6626	445	14	kadri	kadri	PROPN
ejpam-6626	445	15	et	et	PROPN
ejpam-6626	445	16	al	al	PROPN
ejpam-6626	445	17	.	.	PUNCT
ejpam-6626	445	18	/	/	SYM
ejpam-6626	445	19	eur	eur	PROPN
ejpam-6626	445	20	.	.	PUNCT
ejpam-6626	446	1	j.	j.	PROPN
ejpam-6626	446	2	pure	pure	PROPN
ejpam-6626	446	3	appl	appl	PROPN
ejpam-6626	446	4	.	.	PROPN
ejpam-6626	446	5	math	math	PROPN
ejpam-6626	446	6	,	,	PUNCT
ejpam-6626	446	7	18	18	NUM
ejpam-6626	446	8	(	(	PUNCT
ejpam-6626	446	9	3	3	NUM
ejpam-6626	446	10	)	)	PUNCT
ejpam-6626	446	11	(	(	PUNCT
ejpam-6626	446	12	2025	2025	NUM
ejpam-6626	446	13	)	)	PUNCT
ejpam-6626	446	14	,	,	PUNCT
ejpam-6626	446	15	6626	6626	NUM
ejpam-6626	446	16	21	21	NUM
ejpam-6626	446	17	of	of	ADP
ejpam-6626	446	18	24	24	NUM
ejpam-6626	446	19	both	both	CCONJ
ejpam-6626	446	20	3d	3d	NOUN
ejpam-6626	446	21	and	and	CCONJ
ejpam-6626	446	22	2d	2d	NOUN
ejpam-6626	446	23	,	,	PUNCT
ejpam-6626	446	24	and	and	CCONJ
ejpam-6626	446	25	the	the	DET
ejpam-6626	446	26	plots	plot	NOUN
ejpam-6626	446	27	suggest	suggest	VERB
ejpam-6626	446	28	that	that	SCONJ
ejpam-6626	446	29	the	the	DET
ejpam-6626	446	30	approximate	approximate	ADJ
ejpam-6626	446	31	solutions	solution	NOUN
ejpam-6626	446	32	converge	converge	VERB
ejpam-6626	446	33	to	to	ADP
ejpam-6626	446	34	the	the	DET
ejpam-6626	446	35	exact	exact	ADJ
ejpam-6626	446	36	ones	one	NOUN
ejpam-6626	446	37	as	as	ADV
ejpam-6626	446	38	soon	soon	ADV
ejpam-6626	446	39	as	as	SCONJ
ejpam-6626	446	40	1	1	NUM
ejpam-6626	446	41	is	be	AUX
ejpam-6626	446	42	reached	reach	VERB
ejpam-6626	446	43	.	.	PUNCT
ejpam-6626	447	1	numerical	numerical	PROPN
ejpam-6626	447	2	results	result	NOUN
ejpam-6626	447	3	demonstrate	demonstrate	VERB
ejpam-6626	447	4	that	that	SCONJ
ejpam-6626	447	5	used	use	VERB
ejpam-6626	447	6	method	method	NOUN
ejpam-6626	447	7	is	be	AUX
ejpam-6626	447	8	very	very	ADV
ejpam-6626	447	9	effective	effective	ADJ
ejpam-6626	447	10	and	and	CCONJ
ejpam-6626	447	11	reliable	reliable	ADJ
ejpam-6626	447	12	to	to	PART
ejpam-6626	447	13	achieve	achieve	VERB
ejpam-6626	447	14	an	an	DET
ejpam-6626	447	15	approximate	approximate	ADJ
ejpam-6626	447	16	solution	solution	NOUN
ejpam-6626	447	17	for	for	ADP
ejpam-6626	447	18	non	non	ADJ
ejpam-6626	447	19	-	-	ADJ
ejpam-6626	447	20	linear	linear	ADJ
ejpam-6626	447	21	fractional	fractional	ADJ
ejpam-6626	447	22	partial	partial	ADJ
ejpam-6626	447	23	differential	differential	NOUN
ejpam-6626	447	24	equations	equation	NOUN
ejpam-6626	447	25	.	.	PUNCT
ejpam-6626	448	1	the	the	DET
ejpam-6626	448	2	comparative	comparative	ADJ
ejpam-6626	448	3	analysis	analysis	NOUN
ejpam-6626	448	4	of	of	ADP
ejpam-6626	448	5	these	these	DET
ejpam-6626	448	6	solutions	solution	NOUN
ejpam-6626	448	7	has	have	AUX
ejpam-6626	448	8	provided	provide	VERB
ejpam-6626	448	9	valuable	valuable	ADJ
ejpam-6626	448	10	insights	insight	NOUN
ejpam-6626	448	11	under	under	ADP
ejpam-6626	448	12	the	the	DET
ejpam-6626	448	13	influence	influence	NOUN
ejpam-6626	448	14	of	of	ADP
ejpam-6626	448	15	fractional	fractional	ADJ
ejpam-6626	448	16	calculus	calculus	NOUN
ejpam-6626	448	17	regarding	regard	VERB
ejpam-6626	448	18	the	the	DET
ejpam-6626	448	19	system	system	NOUN
ejpam-6626	448	20	’s	’s	PART
ejpam-6626	448	21	behavior	behavior	NOUN
ejpam-6626	448	22	.	.	PUNCT
ejpam-6626	449	1	the	the	DET
ejpam-6626	449	2	results	result	NOUN
ejpam-6626	449	3	demonstrate	demonstrate	VERB
ejpam-6626	449	4	the	the	DET
ejpam-6626	449	5	versatility	versatility	NOUN
ejpam-6626	449	6	and	and	CCONJ
ejpam-6626	449	7	effectiveness	effectiveness	NOUN
ejpam-6626	449	8	of	of	ADP
ejpam-6626	449	9	the	the	DET
ejpam-6626	449	10	aboodh	aboodh	ADJ
ejpam-6626	449	11	decomposition	decomposition	NOUN
ejpam-6626	449	12	transform	transform	NOUN
ejpam-6626	449	13	in	in	ADP
ejpam-6626	449	14	addressing	address	VERB
ejpam-6626	449	15	fractional	fractional	ADJ
ejpam-6626	449	16	differential	differential	ADJ
ejpam-6626	449	17	equations	equation	NOUN
ejpam-6626	449	18	and	and	CCONJ
ejpam-6626	449	19	offering	offer	VERB
ejpam-6626	449	20	a	a	DET
ejpam-6626	449	21	valuable	valuable	ADJ
ejpam-6626	449	22	contribution	contribution	NOUN
ejpam-6626	449	23	to	to	ADP
ejpam-6626	449	24	the	the	DET
ejpam-6626	449	25	field	field	NOUN
ejpam-6626	449	26	of	of	ADP
ejpam-6626	449	27	mathematical	mathematical	ADJ
ejpam-6626	449	28	physics	physics	NOUN
ejpam-6626	449	29	and	and	CCONJ
ejpam-6626	449	30	non	non	ADJ
ejpam-6626	449	31	-	-	ADJ
ejpam-6626	449	32	linear	linear	ADJ
ejpam-6626	449	33	dynamics	dynamic	NOUN
ejpam-6626	449	34	.	.	PUNCT
ejpam-6626	450	1	in	in	ADP
ejpam-6626	450	2	the	the	DET
ejpam-6626	450	3	future	future	NOUN
ejpam-6626	450	4	,	,	PUNCT
ejpam-6626	450	5	we	we	PRON
ejpam-6626	450	6	intend	intend	VERB
ejpam-6626	450	7	solve	solve	VERB
ejpam-6626	450	8	some	some	DET
ejpam-6626	450	9	new	new	ADJ
ejpam-6626	450	10	fractional	fractional	ADJ
ejpam-6626	450	11	models	model	NOUN
ejpam-6626	450	12	,	,	PUNCT
ejpam-6626	450	13	such	such	ADJ
ejpam-6626	450	14	as	as	ADP
ejpam-6626	450	15	in	in	ADP
ejpam-6626	450	16	[	[	X
ejpam-6626	450	17	39–43	39–43	NOUN
ejpam-6626	450	18	]	]	PUNCT
ejpam-6626	450	19	and	and	CCONJ
ejpam-6626	450	20	make	make	VERB
ejpam-6626	450	21	comparisons	comparison	NOUN
ejpam-6626	450	22	with	with	ADP
ejpam-6626	450	23	other	other	ADJ
ejpam-6626	450	24	numerical	numerical	ADJ
ejpam-6626	450	25	methods	method	NOUN
ejpam-6626	450	26	[	[	X
ejpam-6626	450	27	44–48	44–48	PROPN
ejpam-6626	450	28	]	]	PUNCT
ejpam-6626	450	29	.	.	PUNCT
ejpam-6626	451	1	conflicts	conflict	NOUN
ejpam-6626	451	2	of	of	ADP
ejpam-6626	451	3	interest	interest	NOUN
ejpam-6626	451	4	:	:	PUNCT
ejpam-6626	451	5	the	the	DET
ejpam-6626	451	6	authors	author	NOUN
ejpam-6626	451	7	declare	declare	VERB
ejpam-6626	451	8	that	that	SCONJ
ejpam-6626	451	9	they	they	PRON
ejpam-6626	451	10	have	have	VERB
ejpam-6626	451	11	no	no	DET
ejpam-6626	451	12	conflict	conflict	NOUN
ejpam-6626	451	13	of	of	ADP
ejpam-6626	451	14	interest	interest	NOUN
ejpam-6626	451	15	.	.	PUNCT
ejpam-6626	452	1	references	reference	NOUN
ejpam-6626	452	2	[	[	X
ejpam-6626	452	3	1	1	NUM
ejpam-6626	452	4	]	]	PUNCT
ejpam-6626	452	5	m.	m.	NOUN
ejpam-6626	452	6	a.	a.	NOUN
ejpam-6626	452	7	abdoon	abdoon	PROPN
ejpam-6626	452	8	and	and	CCONJ
ejpam-6626	452	9	a.	a.	PROPN
ejpam-6626	452	10	b.	b.	PROPN
ejpam-6626	452	11	m.	m.	PROPN
ejpam-6626	452	12	alzahrani	alzahrani	PROPN
ejpam-6626	452	13	,	,	PUNCT
ejpam-6626	452	14	“	"	PUNCT
ejpam-6626	452	15	comparative	comparative	ADJ
ejpam-6626	452	16	analysis	analysis	NOUN
ejpam-6626	452	17	of	of	ADP
ejpam-6626	452	18	influenza	influenza	NOUN
ejpam-6626	452	19	modeling	modeling	NOUN
ejpam-6626	452	20	using	use	VERB
ejpam-6626	452	21	novel	novel	ADJ
ejpam-6626	452	22	fractional	fractional	ADJ
ejpam-6626	452	23	operators	operator	NOUN
ejpam-6626	452	24	with	with	ADP
ejpam-6626	452	25	real	real	ADJ
ejpam-6626	452	26	data	datum	NOUN
ejpam-6626	452	27	,	,	PUNCT
ejpam-6626	452	28	”	"	PUNCT
ejpam-6626	452	29	symmetry	symmetry	NOUN
ejpam-6626	452	30	,	,	PUNCT
ejpam-6626	452	31	vol	vol	NOUN
ejpam-6626	452	32	.	.	PROPN
ejpam-6626	452	33	16	16	NUM
ejpam-6626	452	34	,	,	PUNCT
ejpam-6626	452	35	no	no	INTJ
ejpam-6626	452	36	.	.	NOUN
ejpam-6626	452	37	9	9	NUM
ejpam-6626	452	38	,	,	PUNCT
ejpam-6626	452	39	p.	p.	NOUN
ejpam-6626	452	40	1126	1126	NUM
ejpam-6626	452	41	,	,	PUNCT
ejpam-6626	452	42	2024	2024	NUM
ejpam-6626	452	43	.	.	PUNCT
ejpam-6626	453	1	[	[	X
ejpam-6626	453	2	2	2	NUM
ejpam-6626	453	3	]	]	X
ejpam-6626	453	4	n.	n.	PROPN
ejpam-6626	453	5	e.	e.	PROPN
ejpam-6626	453	6	alsubaie	alsubaie	PROPN
ejpam-6626	453	7	,	,	PUNCT
ejpam-6626	453	8	f.	f.	PROPN
ejpam-6626	453	9	el	el	PROPN
ejpam-6626	453	10	guma	guma	PROPN
ejpam-6626	453	11	,	,	PUNCT
ejpam-6626	453	12	k.	k.	PROPN
ejpam-6626	453	13	boulehmi	boulehmi	PROPN
ejpam-6626	453	14	,	,	PUNCT
ejpam-6626	453	15	n.	n.	PROPN
ejpam-6626	453	16	al	al	PROPN
ejpam-6626	453	17	-	-	PUNCT
ejpam-6626	453	18	kuleab	kuleab	PROPN
ejpam-6626	453	19	,	,	PUNCT
ejpam-6626	453	20	and	and	CCONJ
ejpam-6626	453	21	m.	m.	PROPN
ejpam-6626	453	22	a.	a.	PROPN
ejpam-6626	453	23	abdoon	abdoon	PROPN
ejpam-6626	453	24	,	,	PUNCT
ejpam-6626	453	25	“	"	PUNCT
ejpam-6626	453	26	improving	improve	VERB
ejpam-6626	453	27	influenza	influenza	ADJ
ejpam-6626	453	28	epidemiological	epidemiological	ADJ
ejpam-6626	453	29	models	model	NOUN
ejpam-6626	453	30	under	under	ADP
ejpam-6626	453	31	caputo	caputo	PROPN
ejpam-6626	453	32	fractional	fractional	ADJ
ejpam-6626	453	33	-	-	PUNCT
ejpam-6626	453	34	order	order	NOUN
ejpam-6626	453	35	calculus	calculus	NOUN
ejpam-6626	453	36	,	,	PUNCT
ejpam-6626	453	37	”	"	PUNCT
ejpam-6626	453	38	symmetry	symmetry	NOUN
ejpam-6626	453	39	,	,	PUNCT
ejpam-6626	453	40	vol	vol	NOUN
ejpam-6626	453	41	.	.	PROPN
ejpam-6626	453	42	16	16	NUM
ejpam-6626	453	43	,	,	PUNCT
ejpam-6626	453	44	no	no	INTJ
ejpam-6626	453	45	.	.	NOUN
ejpam-6626	453	46	7	7	NUM
ejpam-6626	453	47	,	,	PUNCT
ejpam-6626	453	48	p.	p.	NOUN
ejpam-6626	453	49	929	929	NUM
ejpam-6626	453	50	,	,	PUNCT
ejpam-6626	453	51	2024	2024	NUM
ejpam-6626	453	52	.	.	PUNCT
ejpam-6626	454	1	[	[	X
ejpam-6626	454	2	3	3	NUM
ejpam-6626	454	3	]	]	X
ejpam-6626	454	4	m.	m.	PROPN
ejpam-6626	454	5	ali	ali	PROPN
ejpam-6626	454	6	,	,	PUNCT
ejpam-6626	454	7	s.	s.	PROPN
ejpam-6626	454	8	m.	m.	PROPN
ejpam-6626	454	9	alzahrani	alzahrani	PROPN
ejpam-6626	454	10	,	,	PUNCT
ejpam-6626	454	11	r.	r.	PROPN
ejpam-6626	454	12	saadeh	saadeh	PROPN
ejpam-6626	454	13	,	,	PUNCT
ejpam-6626	454	14	m.	m.	NOUN
ejpam-6626	454	15	a.	a.	PROPN
ejpam-6626	454	16	abdoon	abdoon	PROPN
ejpam-6626	454	17	,	,	PUNCT
ejpam-6626	454	18	a.	a.	NOUN
ejpam-6626	454	19	qazza	qazza	PROPN
ejpam-6626	454	20	,	,	PUNCT
ejpam-6626	454	21	n.	n.	PROPN
ejpam-6626	454	22	al	al	PROPN
ejpam-6626	454	23	-	-	PUNCT
ejpam-6626	454	24	kuleab	kuleab	PROPN
ejpam-6626	454	25	,	,	PUNCT
ejpam-6626	454	26	and	and	CCONJ
ejpam-6626	454	27	f.	f.	PROPN
ejpam-6626	454	28	e.	e.	PROPN
ejpam-6626	454	29	guma	guma	PROPN
ejpam-6626	454	30	,	,	PUNCT
ejpam-6626	454	31	“	"	PUNCT
ejpam-6626	454	32	modeling	model	VERB
ejpam-6626	454	33	covid-19	covid-19	PROPN
ejpam-6626	454	34	spread	spread	VERB
ejpam-6626	454	35	and	and	CCONJ
ejpam-6626	454	36	non	non	ADJ
ejpam-6626	454	37	-	-	ADJ
ejpam-6626	454	38	pharmaceutical	pharmaceutical	ADJ
ejpam-6626	454	39	interventions	intervention	NOUN
ejpam-6626	454	40	in	in	ADP
ejpam-6626	454	41	south	south	PROPN
ejpam-6626	454	42	africa	africa	PROPN
ejpam-6626	454	43	:	:	PUNCT
ejpam-6626	454	44	a	a	DET
ejpam-6626	454	45	stochastic	stochastic	ADJ
ejpam-6626	454	46	approach	approach	NOUN
ejpam-6626	454	47	,	,	PUNCT
ejpam-6626	454	48	”	"	PUNCT
ejpam-6626	454	49	scientific	scientific	ADJ
ejpam-6626	454	50	african	african	ADJ
ejpam-6626	454	51	,	,	PUNCT
ejpam-6626	454	52	vol	vol	NOUN
ejpam-6626	454	53	.	.	PROPN
ejpam-6626	454	54	24	24	NUM
ejpam-6626	454	55	,	,	PUNCT
ejpam-6626	454	56	p.	p.	NOUN
ejpam-6626	454	57	e02155	e02155	PROPN
ejpam-6626	454	58	,	,	PUNCT
ejpam-6626	454	59	2024	2024	NUM
ejpam-6626	454	60	.	.	PUNCT
ejpam-6626	455	1	[	[	X
ejpam-6626	455	2	4	4	X
ejpam-6626	455	3	]	]	PUNCT
ejpam-6626	455	4	m.	m.	NOUN
ejpam-6626	455	5	a.	a.	PROPN
ejpam-6626	455	6	abdoon	abdoon	PROPN
ejpam-6626	455	7	,	,	PUNCT
ejpam-6626	455	8	“	"	PUNCT
ejpam-6626	455	9	fractional	fractional	ADJ
ejpam-6626	455	10	derivative	derivative	ADJ
ejpam-6626	455	11	approach	approach	NOUN
ejpam-6626	455	12	for	for	ADP
ejpam-6626	455	13	modeling	model	VERB
ejpam-6626	455	14	chaotic	chaotic	ADJ
ejpam-6626	455	15	dynamics	dynamic	NOUN
ejpam-6626	455	16	:	:	PUNCT
ejpam-6626	455	17	applications	application	NOUN
ejpam-6626	455	18	in	in	ADP
ejpam-6626	455	19	communication	communication	NOUN
ejpam-6626	455	20	and	and	CCONJ
ejpam-6626	455	21	engineering	engineering	NOUN
ejpam-6626	455	22	systems	system	NOUN
ejpam-6626	455	23	,	,	PUNCT
ejpam-6626	455	24	”	"	PUNCT
ejpam-6626	455	25	in	in	ADP
ejpam-6626	455	26	proceedings	proceeding	NOUN
ejpam-6626	455	27	of	of	ADP
ejpam-6626	455	28	the	the	DET
ejpam-6626	455	29	international	international	ADJ
ejpam-6626	455	30	conference	conference	NOUN
ejpam-6626	455	31	on	on	ADP
ejpam-6626	455	32	mathematical	mathematical	ADJ
ejpam-6626	455	33	modelling	modelling	NOUN
ejpam-6626	455	34	,	,	PUNCT
ejpam-6626	455	35	applied	apply	VERB
ejpam-6626	455	36	analysis	analysis	NOUN
ejpam-6626	455	37	and	and	CCONJ
ejpam-6626	455	38	computation	computation	NOUN
ejpam-6626	455	39	,	,	PUNCT
ejpam-6626	455	40	springer	springer	NOUN
ejpam-6626	455	41	,	,	PUNCT
ejpam-6626	455	42	2025	2025	NUM
ejpam-6626	455	43	,	,	PUNCT
ejpam-6626	455	44	pp	pp	ADJ
ejpam-6626	455	45	.	.	PUNCT
ejpam-6626	455	46	82–95	82–95	NUM
ejpam-6626	455	47	.	.	PUNCT
ejpam-6626	456	1	[	[	X
ejpam-6626	456	2	5	5	NUM
ejpam-6626	456	3	]	]	X
ejpam-6626	456	4	r.	r.	PROPN
ejpam-6626	456	5	allogmany	allogmany	PROPN
ejpam-6626	456	6	,	,	PUNCT
ejpam-6626	456	7	n.	n.	PROPN
ejpam-6626	456	8	a.	a.	NOUN
ejpam-6626	456	9	almuallem	almuallem	PROPN
ejpam-6626	456	10	,	,	PUNCT
ejpam-6626	456	11	r.	r.	PROPN
ejpam-6626	456	12	d.	d.	PROPN
ejpam-6626	456	13	alsemiry	alsemiry	PROPN
ejpam-6626	456	14	,	,	PUNCT
ejpam-6626	456	15	and	and	CCONJ
ejpam-6626	456	16	m.	m.	NOUN
ejpam-6626	456	17	a.	a.	PROPN
ejpam-6626	456	18	abdoon	abdoon	PROPN
ejpam-6626	456	19	,	,	PUNCT
ejpam-6626	456	20	“	"	PUNCT
ejpam-6626	456	21	exploring	explore	VERB
ejpam-6626	456	22	chaos	chaos	NOUN
ejpam-6626	456	23	in	in	ADP
ejpam-6626	456	24	fractional	fractional	ADJ
ejpam-6626	456	25	order	order	NOUN
ejpam-6626	456	26	systems	system	NOUN
ejpam-6626	456	27	:	:	PUNCT
ejpam-6626	456	28	a	a	DET
ejpam-6626	456	29	study	study	NOUN
ejpam-6626	456	30	of	of	ADP
ejpam-6626	456	31	constant	constant	ADJ
ejpam-6626	456	32	and	and	CCONJ
ejpam-6626	456	33	variable	variable	ADJ
ejpam-6626	456	34	-	-	PUNCT
ejpam-6626	456	35	order	order	NOUN
ejpam-6626	456	36	dynamics	dynamic	NOUN
ejpam-6626	456	37	,	,	PUNCT
ejpam-6626	456	38	”	"	PUNCT
ejpam-6626	456	39	symmetry	symmetry	NOUN
ejpam-6626	456	40	,	,	PUNCT
ejpam-6626	456	41	vol	vol	NOUN
ejpam-6626	456	42	.	.	PROPN
ejpam-6626	456	43	17	17	NUM
ejpam-6626	456	44	,	,	PUNCT
ejpam-6626	456	45	no	no	INTJ
ejpam-6626	456	46	.	.	NOUN
ejpam-6626	456	47	4	4	NUM
ejpam-6626	456	48	,	,	PUNCT
ejpam-6626	456	49	p.	p.	NOUN
ejpam-6626	456	50	605	605	NUM
ejpam-6626	456	51	,	,	PUNCT
ejpam-6626	456	52	2025	2025	NUM
ejpam-6626	456	53	.	.	PUNCT
ejpam-6626	457	1	[	[	X
ejpam-6626	457	2	6	6	NUM
ejpam-6626	457	3	]	]	PUNCT
ejpam-6626	457	4	d.	d.	PROPN
ejpam-6626	457	5	k.	k.	PROPN
ejpam-6626	457	6	almutairi	almutairi	PROPN
ejpam-6626	457	7	,	,	PUNCT
ejpam-6626	457	8	d.	d.	PROPN
ejpam-6626	457	9	m.	m.	PROPN
ejpam-6626	457	10	almutairi	almutairi	PROPN
ejpam-6626	457	11	,	,	PUNCT
ejpam-6626	457	12	n.	n.	PROPN
ejpam-6626	457	13	e.	e.	PROPN
ejpam-6626	457	14	taha	taha	PROPN
ejpam-6626	457	15	,	,	PUNCT
ejpam-6626	457	16	m.	m.	PROPN
ejpam-6626	457	17	e.	e.	PROPN
ejpam-6626	457	18	dafaalla	dafaalla	PROPN
ejpam-6626	457	19	,	,	PUNCT
ejpam-6626	457	20	and	and	CCONJ
ejpam-6626	457	21	m.	m.	NOUN
ejpam-6626	457	22	a.	a.	PROPN
ejpam-6626	457	23	abdoon	abdoon	PROPN
ejpam-6626	457	24	,	,	PUNCT
ejpam-6626	457	25	“	"	PUNCT
ejpam-6626	457	26	variable	variable	ADJ
ejpam-6626	457	27	-	-	PUNCT
ejpam-6626	457	28	fractional	fractional	ADJ
ejpam-6626	457	29	-	-	PUNCT
ejpam-6626	457	30	order	order	NOUN
ejpam-6626	457	31	nosé–hoover	nosé–hoover	NOUN
ejpam-6626	457	32	system	system	NOUN
ejpam-6626	457	33	:	:	PUNCT
ejpam-6626	457	34	chaotic	chaotic	ADJ
ejpam-6626	457	35	dynamics	dynamic	NOUN
ejpam-6626	457	36	and	and	CCONJ
ejpam-6626	457	37	numerical	numerical	ADJ
ejpam-6626	457	38	simulations	simulation	NOUN
ejpam-6626	457	39	,	,	PUNCT
ejpam-6626	457	40	”	"	PUNCT
ejpam-6626	457	41	fractal	fractal	ADJ
ejpam-6626	457	42	and	and	CCONJ
ejpam-6626	457	43	fractional	fractional	ADJ
ejpam-6626	457	44	,	,	PUNCT
ejpam-6626	457	45	vol	vol	NOUN
ejpam-6626	457	46	.	.	NOUN
ejpam-6626	457	47	9	9	NUM
ejpam-6626	457	48	,	,	PUNCT
ejpam-6626	457	49	no	no	INTJ
ejpam-6626	457	50	.	.	NOUN
ejpam-6626	457	51	5	5	NUM
ejpam-6626	457	52	,	,	PUNCT
ejpam-6626	457	53	p.	p.	NOUN
ejpam-6626	457	54	277	277	NUM
ejpam-6626	457	55	,	,	PUNCT
ejpam-6626	457	56	2025	2025	NUM
ejpam-6626	457	57	.	.	PUNCT
ejpam-6626	458	1	[	[	X
ejpam-6626	458	2	7	7	X
ejpam-6626	458	3	]	]	PUNCT
ejpam-6626	458	4	m.	m.	NOUN
ejpam-6626	458	5	a.	a.	PROPN
ejpam-6626	458	6	abdoon	abdoon	PROPN
ejpam-6626	458	7	,	,	PUNCT
ejpam-6626	458	8	“	"	PUNCT
ejpam-6626	458	9	first	first	ADJ
ejpam-6626	458	10	integral	integral	ADJ
ejpam-6626	458	11	method	method	NOUN
ejpam-6626	458	12	:	:	PUNCT
ejpam-6626	458	13	a	a	DET
ejpam-6626	458	14	general	general	ADJ
ejpam-6626	458	15	formula	formula	NOUN
ejpam-6626	458	16	for	for	ADP
ejpam-6626	458	17	nonlinear	nonlinear	ADJ
ejpam-6626	458	18	fractional	fractional	PROPN
ejpam-6626	458	19	klein	klein	PROPN
ejpam-6626	458	20	-	-	PUNCT
ejpam-6626	458	21	gordon	gordon	PROPN
ejpam-6626	458	22	equation	equation	NOUN
ejpam-6626	458	23	using	use	VERB
ejpam-6626	458	24	advanced	advanced	ADJ
ejpam-6626	458	25	computing	computing	NOUN
ejpam-6626	458	26	language	language	NOUN
ejpam-6626	458	27	,	,	PUNCT
ejpam-6626	458	28	”	"	PUNCT
ejpam-6626	458	29	american	american	ADJ
ejpam-6626	458	30	journal	journal	NOUN
ejpam-6626	458	31	of	of	ADP
ejpam-6626	458	32	computational	computational	ADJ
ejpam-6626	458	33	mathematics	mathematic	NOUN
ejpam-6626	458	34	,	,	PUNCT
ejpam-6626	458	35	vol	vol	NOUN
ejpam-6626	458	36	.	.	PROPN
ejpam-6626	458	37	5	5	NUM
ejpam-6626	458	38	,	,	PUNCT
ejpam-6626	458	39	no	no	INTJ
ejpam-6626	458	40	.	.	NOUN
ejpam-6626	458	41	2	2	NUM
ejpam-6626	458	42	,	,	PUNCT
ejpam-6626	458	43	pp	pp	ADJ
ejpam-6626	458	44	.	.	PUNCT
ejpam-6626	459	1	127–134	127–134	NUM
ejpam-6626	459	2	,	,	PUNCT
ejpam-6626	459	3	2015	2015	NUM
ejpam-6626	459	4	.	.	PUNCT
ejpam-6626	460	1	[	[	X
ejpam-6626	460	2	8	8	NUM
ejpam-6626	460	3	]	]	PUNCT
ejpam-6626	460	4	m.	m.	NOUN
ejpam-6626	460	5	a.	a.	PROPN
ejpam-6626	460	6	abdoon	abdoon	PROPN
ejpam-6626	460	7	et	et	PROPN
ejpam-6626	460	8	al	al	PROPN
ejpam-6626	460	9	.	.	PROPN
ejpam-6626	460	10	,	,	PUNCT
ejpam-6626	460	11	“	"	PUNCT
ejpam-6626	460	12	programming	program	VERB
ejpam-6626	460	13	first	first	ADJ
ejpam-6626	460	14	integral	integral	ADJ
ejpam-6626	460	15	method	method	NOUN
ejpam-6626	460	16	general	general	ADJ
ejpam-6626	460	17	formula	formula	NOUN
ejpam-6626	460	18	for	for	ADP
ejpam-6626	460	19	the	the	DET
ejpam-6626	460	20	solving	solve	VERB
ejpam-6626	460	21	linear	linear	NOUN
ejpam-6626	460	22	and	and	CCONJ
ejpam-6626	460	23	nonlinear	nonlinear	ADJ
ejpam-6626	460	24	equations	equation	NOUN
ejpam-6626	460	25	,	,	PUNCT
ejpam-6626	460	26	”	"	PUNCT
ejpam-6626	460	27	applied	apply	VERB
ejpam-6626	460	28	mathematics	mathematic	NOUN
ejpam-6626	460	29	,	,	PUNCT
ejpam-6626	460	30	vol	vol	NOUN
ejpam-6626	460	31	.	.	PROPN
ejpam-6626	460	32	6	6	NUM
ejpam-6626	460	33	,	,	PUNCT
ejpam-6626	460	34	no	no	INTJ
ejpam-6626	460	35	.	.	NOUN
ejpam-6626	460	36	3	3	NUM
ejpam-6626	460	37	,	,	PUNCT
ejpam-6626	460	38	pp	pp	ADJ
ejpam-6626	460	39	.	.	PUNCT
ejpam-6626	460	40	568	568	NUM
ejpam-6626	460	41	,	,	PUNCT
ejpam-6626	460	42	2015	2015	NUM
ejpam-6626	460	43	.	.	PUNCT
ejpam-6626	461	1	[	[	X
ejpam-6626	461	2	9	9	NUM
ejpam-6626	461	3	]	]	PUNCT
ejpam-6626	461	4	f.	f.	PROPN
ejpam-6626	461	5	hasan	hasan	PROPN
ejpam-6626	461	6	,	,	PUNCT
ejpam-6626	461	7	m.	m.	NOUN
ejpam-6626	461	8	a.	a.	PROPN
ejpam-6626	461	9	abdoon	abdoon	PROPN
ejpam-6626	461	10	,	,	PUNCT
ejpam-6626	461	11	r.	r.	PROPN
ejpam-6626	461	12	saadeh	saadeh	PROPN
ejpam-6626	461	13	,	,	PUNCT
ejpam-6626	461	14	m.	m.	NOUN
ejpam-6626	461	15	berir	berir	NOUN
ejpam-6626	461	16	,	,	PUNCT
ejpam-6626	461	17	and	and	CCONJ
ejpam-6626	461	18	a.	a.	NOUN
ejpam-6626	461	19	qazza	qazza	PROPN
ejpam-6626	461	20	,	,	PUNCT
ejpam-6626	461	21	“	"	PUNCT
ejpam-6626	461	22	a	a	DET
ejpam-6626	461	23	new	new	ADJ
ejpam-6626	461	24	perspective	perspective	NOUN
ejpam-6626	461	25	on	on	ADP
ejpam-6626	461	26	the	the	DET
ejpam-6626	461	27	stochastic	stochastic	ADJ
ejpam-6626	461	28	fractional	fractional	ADJ
ejpam-6626	461	29	order	order	NOUN
ejpam-6626	461	30	materialized	materialize	VERB
ejpam-6626	461	31	by	by	ADP
ejpam-6626	461	32	the	the	DET
ejpam-6626	461	33	exact	exact	ADJ
ejpam-6626	461	34	solutions	solution	NOUN
ejpam-6626	461	35	of	of	ADP
ejpam-6626	461	36	allen	allen	PROPN
ejpam-6626	461	37	-	-	PUNCT
ejpam-6626	461	38	cahn	cahn	PROPN
ejpam-6626	461	39	i.	i.	PROPN
ejpam-6626	461	40	kadri	kadri	PROPN
ejpam-6626	461	41	et	et	PROPN
ejpam-6626	461	42	al	al	PROPN
ejpam-6626	461	43	.	.	PUNCT
ejpam-6626	461	44	/	/	SYM
ejpam-6626	461	45	eur	eur	PROPN
ejpam-6626	461	46	.	.	PUNCT
ejpam-6626	462	1	j.	j.	PROPN
ejpam-6626	462	2	pure	pure	PROPN
ejpam-6626	462	3	appl	appl	PROPN
ejpam-6626	462	4	.	.	PROPN
ejpam-6626	462	5	math	math	PROPN
ejpam-6626	462	6	,	,	PUNCT
ejpam-6626	462	7	18	18	NUM
ejpam-6626	462	8	(	(	PUNCT
ejpam-6626	462	9	3	3	NUM
ejpam-6626	462	10	)	)	PUNCT
ejpam-6626	462	11	(	(	PUNCT
ejpam-6626	462	12	2025	2025	NUM
ejpam-6626	462	13	)	)	PUNCT
ejpam-6626	462	14	,	,	PUNCT
ejpam-6626	462	15	6626	6626	NUM
ejpam-6626	462	16	22	22	NUM
ejpam-6626	462	17	of	of	ADP
ejpam-6626	462	18	24	24	NUM
ejpam-6626	462	19	equation	equation	NOUN
ejpam-6626	462	20	,	,	PUNCT
ejpam-6626	462	21	”	"	PUNCT
ejpam-6626	462	22	international	international	ADJ
ejpam-6626	462	23	journal	journal	NOUN
ejpam-6626	462	24	of	of	ADP
ejpam-6626	462	25	mathematical	mathematical	ADJ
ejpam-6626	462	26	,	,	PUNCT
ejpam-6626	462	27	engineering	engineering	NOUN
ejpam-6626	462	28	and	and	CCONJ
ejpam-6626	462	29	management	management	NOUN
ejpam-6626	462	30	sciences	science	NOUN
ejpam-6626	462	31	,	,	PUNCT
ejpam-6626	462	32	vol	vol	NOUN
ejpam-6626	462	33	.	.	PROPN
ejpam-6626	462	34	8	8	NUM
ejpam-6626	462	35	,	,	PUNCT
ejpam-6626	462	36	no	no	INTJ
ejpam-6626	462	37	.	.	NOUN
ejpam-6626	462	38	5	5	NUM
ejpam-6626	462	39	,	,	PUNCT
ejpam-6626	462	40	p.	p.	NOUN
ejpam-6626	462	41	912	912	NUM
ejpam-6626	462	42	,	,	PUNCT
ejpam-6626	462	43	2023	2023	NUM
ejpam-6626	462	44	.	.	PUNCT
ejpam-6626	463	1	[	[	X
ejpam-6626	463	2	10	10	NUM
ejpam-6626	463	3	]	]	PUNCT
ejpam-6626	463	4	atangana	atangana	PROPN
ejpam-6626	463	5	a.	a.	PROPN
ejpam-6626	463	6	,	,	PUNCT
ejpam-6626	463	7	and	and	CCONJ
ejpam-6626	463	8	baleanu	baleanu	PROPN
ejpam-6626	463	9	d.	d.	PROPN
ejpam-6626	463	10	new	new	ADJ
ejpam-6626	463	11	fractional	fractional	ADJ
ejpam-6626	463	12	derivatives	derivative	NOUN
ejpam-6626	463	13	with	with	ADP
ejpam-6626	463	14	nonlocal	nonlocal	ADJ
ejpam-6626	463	15	and	and	CCONJ
ejpam-6626	463	16	nonsingular	nonsingular	ADJ
ejpam-6626	463	17	kernel	kernel	PROPN
ejpam-6626	463	18	:	:	PUNCT
ejpam-6626	463	19	theory	theory	NOUN
ejpam-6626	463	20	and	and	CCONJ
ejpam-6626	463	21	applications	application	NOUN
ejpam-6626	463	22	to	to	PART
ejpam-6626	463	23	heat	heat	VERB
ejpam-6626	463	24	transfer	transfer	NOUN
ejpam-6626	463	25	model	model	NOUN
ejpam-6626	463	26	,	,	PUNCT
ejpam-6626	463	27	thermal	thermal	ADJ
ejpam-6626	463	28	science	science	NOUN
ejpam-6626	463	29	,	,	PUNCT
ejpam-6626	463	30	20	20	NUM
ejpam-6626	463	31	(	(	PUNCT
ejpam-6626	463	32	2016	2016	NUM
ejpam-6626	463	33	)	)	PUNCT
ejpam-6626	463	34	,	,	PUNCT
ejpam-6626	463	35	763	763	NUM
ejpam-6626	463	36	-	-	SYM
ejpam-6626	463	37	769	769	NUM
ejpam-6626	463	38	.	.	PUNCT
ejpam-6626	463	39	https://doi.org/10.2298/tsci160111018a	https://doi.org/10.2298/tsci160111018a	PUNCT
ejpam-6626	464	1	[	[	X
ejpam-6626	464	2	11	11	NUM
ejpam-6626	464	3	]	]	X
ejpam-6626	464	4	awuya	awuya	PROPN
ejpam-6626	464	5	,	,	PUNCT
ejpam-6626	464	6	m.	m.	NOUN
ejpam-6626	464	7	a.	a.	PROPN
ejpam-6626	464	8	,	,	PUNCT
ejpam-6626	464	9	ojo	ojo	PROPN
ejpam-6626	464	10	,	,	PUNCT
ejpam-6626	464	11	g.	g.	PROPN
ejpam-6626	464	12	o.	o.	PROPN
ejpam-6626	464	13	,	,	PUNCT
ejpam-6626	464	14	mahmudov	mahmudov	PROPN
ejpam-6626	464	15	,	,	PUNCT
ejpam-6626	464	16	n.	n.	PROPN
ejpam-6626	464	17	i.	i.	PROPN
ejpam-6626	464	18	solution	solution	NOUN
ejpam-6626	464	19	of	of	ADP
ejpam-6626	464	20	space	space	NOUN
ejpam-6626	464	21	-	-	PUNCT
ejpam-6626	464	22	time	time	NOUN
ejpam-6626	464	23	fractional	fractional	ADJ
ejpam-6626	464	24	differential	differential	NOUN
ejpam-6626	464	25	equations	equation	NOUN
ejpam-6626	464	26	using	use	VERB
ejpam-6626	464	27	aboodh	aboodh	NOUN
ejpam-6626	464	28	transform	transform	VERB
ejpam-6626	464	29	iterative	iterative	NOUN
ejpam-6626	464	30	method	method	NOUN
ejpam-6626	464	31	,	,	PUNCT
ejpam-6626	464	32	journal	journal	NOUN
ejpam-6626	464	33	of	of	ADP
ejpam-6626	464	34	mathematics	mathematic	NOUN
ejpam-6626	464	35	,	,	PUNCT
ejpam-6626	464	36	2022(1	2022(1	NUM
ejpam-6626	464	37	)	)	PUNCT
ejpam-6626	464	38	,	,	PUNCT
ejpam-6626	464	39	4861588	4861588	NUM
ejpam-6626	464	40	.	.	PUNCT
ejpam-6626	465	1	https://doi.org/10.1155/2022/4861588	https://doi.org/10.1155/2022/4861588	X
ejpam-6626	466	1	[	[	X
ejpam-6626	466	2	12	12	NUM
ejpam-6626	466	3	]	]	X
ejpam-6626	466	4	al	al	PROPN
ejpam-6626	466	5	qurashi	qurashi	PROPN
ejpam-6626	466	6	,	,	PUNCT
ejpam-6626	466	7	m.	m.	NOUN
ejpam-6626	466	8	,	,	PUNCT
ejpam-6626	466	9	rashid	rashid	PROPN
ejpam-6626	466	10	,	,	PUNCT
ejpam-6626	466	11	s.	s.	PROPN
ejpam-6626	466	12	,	,	PUNCT
ejpam-6626	466	13	sultana	sultana	PROPN
ejpam-6626	466	14	,	,	PUNCT
ejpam-6626	466	15	s.	s.	PROPN
ejpam-6626	466	16	,	,	PUNCT
ejpam-6626	466	17	jarad	jarad	PROPN
ejpam-6626	466	18	,	,	PUNCT
ejpam-6626	466	19	f.	f.	PROPN
ejpam-6626	466	20	,	,	PUNCT
ejpam-6626	466	21	alsharif	alsharif	NOUN
ejpam-6626	466	22	,	,	PUNCT
ejpam-6626	466	23	a.	a.	NOUN
ejpam-6626	466	24	m.	m.	NOUN
ejpam-6626	466	25	fractional	fractional	ADJ
ejpam-6626	466	26	-	-	PUNCT
ejpam-6626	466	27	order	order	NOUN
ejpam-6626	466	28	partial	partial	ADJ
ejpam-6626	466	29	differential	differential	NOUN
ejpam-6626	466	30	equations	equation	NOUN
ejpam-6626	466	31	describing	describe	VERB
ejpam-6626	466	32	propagation	propagation	NOUN
ejpam-6626	466	33	of	of	ADP
ejpam-6626	466	34	shallow	shallow	ADJ
ejpam-6626	466	35	water	water	NOUN
ejpam-6626	466	36	waves	wave	NOUN
ejpam-6626	466	37	depending	depend	VERB
ejpam-6626	466	38	on	on	ADP
ejpam-6626	466	39	power	power	NOUN
ejpam-6626	466	40	and	and	CCONJ
ejpam-6626	466	41	mittag	mittag	ADJ
ejpam-6626	466	42	-	-	PUNCT
ejpam-6626	466	43	leffler	leffler	NOUN
ejpam-6626	466	44	memory	memory	NOUN
ejpam-6626	466	45	,	,	PUNCT
ejpam-6626	466	46	aims	aim	VERB
ejpam-6626	466	47	,	,	PUNCT
ejpam-6626	466	48	7(7	7(7	NUM
ejpam-6626	466	49	)	)	PUNCT
ejpam-6626	466	50	(	(	PUNCT
ejpam-6626	466	51	2022	2022	NUM
ejpam-6626	466	52	)	)	PUNCT
ejpam-6626	466	53	,	,	PUNCT
ejpam-6626	466	54	12587	12587	NUM
ejpam-6626	466	55	-	-	SYM
ejpam-6626	466	56	12619	12619	NUM
ejpam-6626	466	57	.	.	PUNCT
ejpam-6626	467	1	https://doi	https://doi	PROPN
ejpam-6626	467	2	.	.	PUNCT
ejpam-6626	468	1	org/10.3934	org/10.3934	PROPN
ejpam-6626	468	2	/	/	SYM
ejpam-6626	468	3	math.2022697	math.2022697	PROPN
ejpam-6626	469	1	[	[	X
ejpam-6626	469	2	13	13	NUM
ejpam-6626	469	3	]	]	X
ejpam-6626	469	4	awuya	awuya	PROPN
ejpam-6626	469	5	,	,	PUNCT
ejpam-6626	469	6	m.	m.	NOUN
ejpam-6626	469	7	a.	a.	PROPN
ejpam-6626	469	8	,	,	PUNCT
ejpam-6626	469	9	subasi	subasi	PROPN
ejpam-6626	469	10	,	,	PUNCT
ejpam-6626	469	11	d.	d.	PROPN
ejpam-6626	469	12	aboodh	aboodh	PROPN
ejpam-6626	469	13	transform	transform	VERB
ejpam-6626	469	14	iterative	iterative	NOUN
ejpam-6626	469	15	method	method	NOUN
ejpam-6626	469	16	for	for	ADP
ejpam-6626	469	17	solving	solve	VERB
ejpam-6626	469	18	fractional	fractional	ADJ
ejpam-6626	469	19	partial	partial	ADJ
ejpam-6626	469	20	differential	differential	NOUN
ejpam-6626	469	21	equation	equation	NOUN
ejpam-6626	469	22	with	with	ADP
ejpam-6626	469	23	mittag	mittag	ADJ
ejpam-6626	469	24	–	–	PUNCT
ejpam-6626	469	25	leffler	leffler	ADJ
ejpam-6626	469	26	kernel	kernel	NOUN
ejpam-6626	469	27	,	,	PUNCT
ejpam-6626	469	28	symmetry	symmetry	NOUN
ejpam-6626	469	29	,	,	PUNCT
ejpam-6626	469	30	3(11	3(11	NUM
ejpam-6626	469	31	)	)	PUNCT
ejpam-6626	469	32	(	(	PUNCT
ejpam-6626	469	33	2021	2021	NUM
ejpam-6626	469	34	)	)	PUNCT
ejpam-6626	469	35	,	,	PUNCT
ejpam-6626	469	36	2055	2055	NUM
ejpam-6626	469	37	.	.	PUNCT
ejpam-6626	470	1	https://doi.org/10.3390/sym13112055	https://doi.org/10.3390/sym13112055	ADJ
ejpam-6626	470	2	[	[	X
ejpam-6626	470	3	14	14	NUM
ejpam-6626	470	4	]	]	PUNCT
ejpam-6626	470	5	ahmed	ahmed	PROPN
ejpam-6626	470	6	,	,	PUNCT
ejpam-6626	470	7	s.	s.	PROPN
ejpam-6626	470	8	a.	a.	PROPN
ejpam-6626	470	9	,	,	PUNCT
ejpam-6626	470	10	elbadri	elbadri	ADJ
ejpam-6626	470	11	,	,	PUNCT
ejpam-6626	470	12	m.	m.	NOUN
ejpam-6626	470	13	,	,	PUNCT
ejpam-6626	470	14	hassan	hassan	PROPN
ejpam-6626	470	15	,	,	PUNCT
ejpam-6626	470	16	a.	a.	NOUN
ejpam-6626	470	17	a.	a.	PROPN
ejpam-6626	470	18	,	,	PUNCT
ejpam-6626	470	19	hdidi	hdidi	PROPN
ejpam-6626	470	20	,	,	PUNCT
ejpam-6626	470	21	w.	w.	PROPN
ejpam-6626	470	22	numerical	numerical	PROPN
ejpam-6626	470	23	solutions	solution	NOUN
ejpam-6626	470	24	of	of	ADP
ejpam-6626	470	25	time	time	NOUN
ejpam-6626	470	26	-	-	PUNCT
ejpam-6626	470	27	fractional	fractional	ADJ
ejpam-6626	470	28	whitham	whitham	NOUN
ejpam-6626	470	29	–	–	PUNCT
ejpam-6626	470	30	broer	broer	NOUN
ejpam-6626	470	31	–	–	PUNCT
ejpam-6626	470	32	kaup	kaup	PROPN
ejpam-6626	470	33	equations	equation	NOUN
ejpam-6626	470	34	via	via	ADP
ejpam-6626	470	35	sumudu	sumudu	NOUN
ejpam-6626	470	36	decomposition	decomposition	NOUN
ejpam-6626	470	37	method	method	NOUN
ejpam-6626	470	38	,	,	PUNCT
ejpam-6626	470	39	journal	journal	NOUN
ejpam-6626	470	40	of	of	ADP
ejpam-6626	470	41	mathematics	mathematic	NOUN
ejpam-6626	470	42	,	,	PUNCT
ejpam-6626	470	43	2023(1	2023(1	PROPN
ejpam-6626	470	44	)	)	PUNCT
ejpam-6626	470	45	,	,	PUNCT
ejpam-6626	470	46	4664866	4664866	NUM
ejpam-6626	470	47	.	.	PUNCT
ejpam-6626	471	1	https://doi.org/10.1155/	https://doi.org/10.1155/	PROPN
ejpam-6626	471	2	2023/4664866	2023/4664866	PUNCT
ejpam-6626	472	1	[	[	X
ejpam-6626	472	2	15	15	NUM
ejpam-6626	472	3	]	]	X
ejpam-6626	472	4	caputo	caputo	PROPN
ejpam-6626	472	5	,	,	PUNCT
ejpam-6626	472	6	m.	m.	NOUN
ejpam-6626	472	7	,	,	PUNCT
ejpam-6626	472	8	fabrizio	fabrizio	PROPN
ejpam-6626	472	9	,	,	PUNCT
ejpam-6626	472	10	m.	m.	NOUN
ejpam-6626	472	11	a	a	DET
ejpam-6626	472	12	new	new	ADJ
ejpam-6626	472	13	definition	definition	NOUN
ejpam-6626	472	14	of	of	ADP
ejpam-6626	472	15	fractional	fractional	ADJ
ejpam-6626	472	16	derivative	derivative	NOUN
ejpam-6626	472	17	without	without	ADP
ejpam-6626	472	18	singular	singular	ADJ
ejpam-6626	472	19	kernel	kernel	NOUN
ejpam-6626	472	20	,	,	PUNCT
ejpam-6626	472	21	progress	progress	NOUN
ejpam-6626	472	22	in	in	ADP
ejpam-6626	472	23	differentiation	differentiation	NOUN
ejpam-6626	472	24	and	and	CCONJ
ejpam-6626	472	25	applications	application	NOUN
ejpam-6626	472	26	,	,	PUNCT
ejpam-6626	472	27	1(2	1(2	NUM
ejpam-6626	472	28	)	)	PUNCT
ejpam-6626	472	29	(	(	PUNCT
ejpam-6626	472	30	2015	2015	NUM
ejpam-6626	472	31	)	)	PUNCT
ejpam-6626	472	32	73	73	NUM
ejpam-6626	472	33	-	-	SYM
ejpam-6626	472	34	85	85	NUM
ejpam-6626	472	35	.	.	PUNCT
ejpam-6626	473	1	[	[	X
ejpam-6626	473	2	16	16	NUM
ejpam-6626	473	3	]	]	PUNCT
ejpam-6626	473	4	ilhem	ilhem	NOUN
ejpam-6626	473	5	,	,	PUNCT
ejpam-6626	473	6	k.	k.	PROPN
ejpam-6626	473	7	,	,	PUNCT
ejpam-6626	473	8	al	al	PROPN
ejpam-6626	473	9	horani	horani	PROPN
ejpam-6626	473	10	,	,	PUNCT
ejpam-6626	473	11	m.	m.	NOUN
ejpam-6626	473	12	,	,	PUNCT
ejpam-6626	473	13	khalil	khalil	PROPN
ejpam-6626	473	14	,	,	PUNCT
ejpam-6626	473	15	r.	r.	PROPN
ejpam-6626	473	16	r.	r.	PROPN
ejpam-6626	473	17	solution	solution	NOUN
ejpam-6626	473	18	of	of	ADP
ejpam-6626	473	19	non	non	ADJ
ejpam-6626	473	20	-	-	ADJ
ejpam-6626	473	21	linear	linear	ADJ
ejpam-6626	473	22	fractional	fractional	ADJ
ejpam-6626	473	23	burger	burger	NOUN
ejpam-6626	473	24	’s	’s	PART
ejpam-6626	473	25	type	type	NOUN
ejpam-6626	473	26	equations	equation	NOUN
ejpam-6626	473	27	using	use	VERB
ejpam-6626	473	28	the	the	DET
ejpam-6626	473	29	laplace	laplace	NOUN
ejpam-6626	473	30	transform	transform	NOUN
ejpam-6626	473	31	decomposition	decomposition	NOUN
ejpam-6626	473	32	method	method	NOUN
ejpam-6626	473	33	,	,	PUNCT
ejpam-6626	473	34	results	result	NOUN
ejpam-6626	473	35	in	in	ADP
ejpam-6626	473	36	nonlinear	nonlinear	ADJ
ejpam-6626	473	37	analysis	analysis	NOUN
ejpam-6626	473	38	,	,	PUNCT
ejpam-6626	473	39	5(2	5(2	NUM
ejpam-6626	473	40	)	)	PUNCT
ejpam-6626	473	41	(	(	PUNCT
ejpam-6626	473	42	2022	2022	NUM
ejpam-6626	473	43	)	)	PUNCT
ejpam-6626	473	44	,	,	PUNCT
ejpam-6626	473	45	131	131	NUM
ejpam-6626	473	46	-	-	SYM
ejpam-6626	473	47	150	150	NUM
ejpam-6626	473	48	.	.	PUNCT
ejpam-6626	474	1	https://doi.org/10.53006/rna.1053470	https://doi.org/10.53006/rna.1053470	PROPN
ejpam-6626	475	1	[	[	X
ejpam-6626	475	2	17	17	NUM
ejpam-6626	475	3	]	]	X
ejpam-6626	475	4	kadri	kadri	PROPN
ejpam-6626	475	5	,	,	PUNCT
ejpam-6626	475	6	i.	i.	PROPN
ejpam-6626	475	7	,	,	PUNCT
ejpam-6626	475	8	al	al	PROPN
ejpam-6626	475	9	horani	horani	PROPN
ejpam-6626	475	10	,	,	PUNCT
ejpam-6626	475	11	m.	m.	NOUN
ejpam-6626	475	12	,	,	PUNCT
ejpam-6626	475	13	khalil	khalil	PROPN
ejpam-6626	475	14	,	,	PUNCT
ejpam-6626	475	15	r.	r.	PROPN
ejpam-6626	475	16	solution	solution	NOUN
ejpam-6626	475	17	of	of	ADP
ejpam-6626	475	18	fractional	fractional	ADJ
ejpam-6626	475	19	laplace	laplace	NOUN
ejpam-6626	475	20	type	type	NOUN
ejpam-6626	475	21	equation	equation	NOUN
ejpam-6626	475	22	in	in	ADP
ejpam-6626	475	23	conformable	conformable	ADJ
ejpam-6626	475	24	sense	sense	NOUN
ejpam-6626	475	25	using	use	VERB
ejpam-6626	475	26	fractional	fractional	ADJ
ejpam-6626	475	27	fourier	fourier	NOUN
ejpam-6626	475	28	series	series	NOUN
ejpam-6626	475	29	with	with	ADP
ejpam-6626	475	30	separation	separation	NOUN
ejpam-6626	475	31	of	of	ADP
ejpam-6626	475	32	variables	variable	NOUN
ejpam-6626	475	33	technique	technique	NOUN
ejpam-6626	475	34	,	,	PUNCT
ejpam-6626	475	35	results	result	NOUN
ejpam-6626	475	36	in	in	ADP
ejpam-6626	475	37	nonlinear	nonlinear	ADJ
ejpam-6626	475	38	analysis	analysis	NOUN
ejpam-6626	475	39	,	,	PUNCT
ejpam-6626	475	40	6(2	6(2	NUM
ejpam-6626	475	41	)	)	PUNCT
ejpam-6626	475	42	(	(	PUNCT
ejpam-6626	475	43	2023	2023	NUM
ejpam-6626	475	44	)	)	PUNCT
ejpam-6626	475	45	,	,	PUNCT
ejpam-6626	475	46	53	53	NUM
ejpam-6626	475	47	-	-	SYM
ejpam-6626	475	48	59	59	NUM
ejpam-6626	475	49	.	.	PUNCT
ejpam-6626	476	1	https://doi.org/10.31838/rna/	https://doi.org/10.31838/rna/	NUM
ejpam-6626	476	2	2023.06.02.005	2023.06.02.005	NUM
ejpam-6626	476	3	[	[	X
ejpam-6626	476	4	18	18	NUM
ejpam-6626	476	5	]	]	X
ejpam-6626	476	6	noor	noor	PROPN
ejpam-6626	476	7	,	,	PUNCT
ejpam-6626	476	8	s.	s.	PROPN
ejpam-6626	476	9	,	,	PUNCT
ejpam-6626	476	10	hammad	hammad	PROPN
ejpam-6626	476	11	,	,	PUNCT
ejpam-6626	476	12	m.	m.	NOUN
ejpam-6626	476	13	,	,	PUNCT
ejpam-6626	476	14	shah	shah	PROPN
ejpam-6626	476	15	,	,	PUNCT
ejpam-6626	476	16	r.	r.	PROPN
ejpam-6626	476	17	,	,	PUNCT
ejpam-6626	476	18	alrowaily	alrowaily	ADV
ejpam-6626	476	19	,	,	PUNCT
ejpam-6626	476	20	a.	a.	PROPN
ejpam-6626	476	21	w.	w.	PROPN
ejpam-6626	476	22	,	,	PUNCT
ejpam-6626	476	23	el	el	PROPN
ejpam-6626	476	24	-	-	PUNCT
ejpam-6626	476	25	tantawy	tantawy	ADJ
ejpam-6626	476	26	,	,	PUNCT
ejpam-6626	476	27	s.	s.	PROPN
ejpam-6626	476	28	a.	a.	PROPN
ejpam-6626	476	29	numerical	numerical	PROPN
ejpam-6626	476	30	investigation	investigation	PROPN
ejpam-6626	476	31	of	of	ADP
ejpam-6626	476	32	fractional	fractional	ADJ
ejpam-6626	476	33	-	-	PUNCT
ejpam-6626	476	34	order	order	NOUN
ejpam-6626	476	35	fornberg	fornberg	PROPN
ejpam-6626	476	36	–	–	PUNCT
ejpam-6626	476	37	whitham	whitham	NOUN
ejpam-6626	476	38	equations	equation	NOUN
ejpam-6626	476	39	in	in	ADP
ejpam-6626	476	40	the	the	DET
ejpam-6626	476	41	framework	framework	NOUN
ejpam-6626	476	42	of	of	ADP
ejpam-6626	476	43	aboodh	aboodh	PROPN
ejpam-6626	476	44	transformation	transformation	NOUN
ejpam-6626	476	45	,	,	PUNCT
ejpam-6626	476	46	symmetry	symmetry	NOUN
ejpam-6626	476	47	,	,	PUNCT
ejpam-6626	476	48	15(7	15(7	NUM
ejpam-6626	476	49	)	)	PUNCT
ejpam-6626	476	50	(	(	PUNCT
ejpam-6626	476	51	2023	2023	NUM
ejpam-6626	476	52	)	)	PUNCT
ejpam-6626	476	53	,	,	PUNCT
ejpam-6626	476	54	1353	1353	NUM
ejpam-6626	476	55	.	.	PUNCT
ejpam-6626	477	1	https://doi.org/10.3390/	https://doi.org/10.3390/	PROPN
ejpam-6626	477	2	sym15071353	sym15071353	NOUN
ejpam-6626	478	1	[	[	X
ejpam-6626	478	2	19	19	NUM
ejpam-6626	478	3	]	]	X
ejpam-6626	478	4	noor	noor	PROPN
ejpam-6626	478	5	,	,	PUNCT
ejpam-6626	478	6	w.	w.	PROPN
ejpam-6626	478	7	albalawi	albalawi	PROPN
ejpam-6626	478	8	,	,	PUNCT
ejpam-6626	478	9	shah	shah	PROPN
ejpam-6626	478	10	,	,	PUNCT
ejpam-6626	478	11	r.	r.	PROPN
ejpam-6626	478	12	,	,	PUNCT
ejpam-6626	478	13	shafee	shafee	PROPN
ejpam-6626	478	14	,	,	PUNCT
ejpam-6626	478	15	a.	a.	PROPN
ejpam-6626	478	16	,	,	PUNCT
ejpam-6626	478	17	ismaeel	ismaeel	NOUN
ejpam-6626	478	18	,	,	PUNCT
ejpam-6626	478	19	s.	s.	PROPN
ejpam-6626	478	20	m.	m.	PROPN
ejpam-6626	478	21	,	,	PUNCT
ejpam-6626	478	22	el	el	NOUN
ejpam-6626	478	23	-	-	PUNCT
ejpam-6626	478	24	tantawy	tantawy	ADJ
ejpam-6626	478	25	,	,	PUNCT
ejpam-6626	478	26	s.	s.	PROPN
ejpam-6626	478	27	a.	a.	PROPN
ejpam-6626	478	28	a	a	DET
ejpam-6626	478	29	comparative	comparative	ADJ
ejpam-6626	478	30	analytical	analytical	ADJ
ejpam-6626	478	31	investigation	investigation	NOUN
ejpam-6626	478	32	for	for	ADP
ejpam-6626	478	33	some	some	DET
ejpam-6626	478	34	linear	linear	ADJ
ejpam-6626	478	35	and	and	CCONJ
ejpam-6626	478	36	nonlinear	nonlinear	ADJ
ejpam-6626	478	37	time	time	NOUN
ejpam-6626	478	38	-	-	PUNCT
ejpam-6626	478	39	fractional	fractional	ADJ
ejpam-6626	478	40	partial	partial	ADJ
ejpam-6626	478	41	differential	differential	NOUN
ejpam-6626	478	42	equations	equation	NOUN
ejpam-6626	478	43	in	in	ADP
ejpam-6626	478	44	the	the	DET
ejpam-6626	478	45	framework	framework	NOUN
ejpam-6626	478	46	of	of	ADP
ejpam-6626	478	47	the	the	DET
ejpam-6626	478	48	aboodh	aboodh	PROPN
ejpam-6626	478	49	transformation	transformation	NOUN
ejpam-6626	478	50	,	,	PUNCT
ejpam-6626	478	51	frontiers	frontier	NOUN
ejpam-6626	478	52	in	in	ADP
ejpam-6626	478	53	physics	physics	NOUN
ejpam-6626	478	54	,	,	PUNCT
ejpam-6626	478	55	12	12	NUM
ejpam-6626	478	56	(	(	PUNCT
ejpam-6626	478	57	2024	2024	NUM
ejpam-6626	478	58	)	)	PUNCT
ejpam-6626	478	59	,	,	PUNCT
ejpam-6626	478	60	1374049	1374049	NUM
ejpam-6626	478	61	.	.	PUNCT
ejpam-6626	479	1	https://doi.org/10.3389/fphy.2024.1374049	https://doi.org/10.3389/fphy.2024.1374049	PROPN
ejpam-6626	479	2	[	[	X
ejpam-6626	479	3	20	20	NUM
ejpam-6626	479	4	]	]	X
ejpam-6626	479	5	rashid	rashid	PROPN
ejpam-6626	479	6	,	,	PUNCT
ejpam-6626	479	7	s.	s.	PROPN
ejpam-6626	479	8	,	,	PUNCT
ejpam-6626	479	9	kubra	kubra	PROPN
ejpam-6626	479	10	,	,	PUNCT
ejpam-6626	479	11	k.	k.	PROPN
ejpam-6626	479	12	t.	t.	PROPN
ejpam-6626	479	13	,	,	PUNCT
ejpam-6626	479	14	guirao	guirao	PROPN
ejpam-6626	479	15	,	,	PUNCT
ejpam-6626	479	16	j.	j.	PROPN
ejpam-6626	479	17	l.	l.	PROPN
ejpam-6626	479	18	g.	g.	PROPN
ejpam-6626	479	19	construction	construction	NOUN
ejpam-6626	479	20	of	of	ADP
ejpam-6626	479	21	an	an	DET
ejpam-6626	479	22	approximate	approximate	ADJ
ejpam-6626	479	23	analytical	analytical	ADJ
ejpam-6626	479	24	solution	solution	NOUN
ejpam-6626	479	25	for	for	ADP
ejpam-6626	479	26	multi	multi	ADJ
ejpam-6626	479	27	-	-	ADJ
ejpam-6626	479	28	dimensional	dimensional	ADJ
ejpam-6626	479	29	fractional	fractional	ADJ
ejpam-6626	479	30	zakharov	zakharov	ADJ
ejpam-6626	479	31	–	–	PUNCT
ejpam-6626	479	32	kuznetsov	kuznetsov	ADJ
ejpam-6626	479	33	equation	equation	NOUN
ejpam-6626	479	34	via	via	ADP
ejpam-6626	479	35	aboodh	aboodh	PROPN
ejpam-6626	479	36	adomian	adomian	PROPN
ejpam-6626	479	37	decomposition	decomposition	NOUN
ejpam-6626	479	38	method	method	NOUN
ejpam-6626	479	39	,	,	PUNCT
ejpam-6626	479	40	symmetry	symmetry	NOUN
ejpam-6626	479	41	,	,	PUNCT
ejpam-6626	479	42	13(8	13(8	NUM
ejpam-6626	479	43	)	)	PUNCT
ejpam-6626	479	44	(	(	PUNCT
ejpam-6626	479	45	2021	2021	NUM
ejpam-6626	479	46	)	)	PUNCT
ejpam-6626	479	47	,	,	PUNCT
ejpam-6626	479	48	1542	1542	NUM
ejpam-6626	479	49	.	.	PUNCT
ejpam-6626	480	1	https://doi.org/	https://doi.org/	VERB
ejpam-6626	480	2	10.3390	10.3390	NUM
ejpam-6626	480	3	/	/	SYM
ejpam-6626	480	4	sym13081542	sym13081542	NOUN
ejpam-6626	480	5	[	[	X
ejpam-6626	480	6	21	21	NUM
ejpam-6626	480	7	]	]	X
ejpam-6626	480	8	shah	shah	NOUN
ejpam-6626	480	9	,	,	PUNCT
ejpam-6626	480	10	r.	r.	PROPN
ejpam-6626	480	11	,	,	PUNCT
ejpam-6626	480	12	khan	khan	PROPN
ejpam-6626	480	13	,	,	PUNCT
ejpam-6626	480	14	h.	h.	PROPN
ejpam-6626	480	15	,	,	PUNCT
ejpam-6626	480	16	baleanu	baleanu	PROPN
ejpam-6626	480	17	,	,	PUNCT
ejpam-6626	480	18	d.	d.	PROPN
ejpam-6626	480	19	,	,	PUNCT
ejpam-6626	480	20	fractional	fractional	ADJ
ejpam-6626	480	21	whitham	whitham	NOUN
ejpam-6626	480	22	–	–	PUNCT
ejpam-6626	480	23	broer	broer	NOUN
ejpam-6626	480	24	–	–	PUNCT
ejpam-6626	480	25	kaup	kaup	PROPN
ejpam-6626	480	26	equations	equation	NOUN
ejpam-6626	480	27	within	within	ADP
ejpam-6626	480	28	modified	modified	ADJ
ejpam-6626	480	29	analytical	analytical	ADJ
ejpam-6626	480	30	approaches	approach	NOUN
ejpam-6626	480	31	,	,	PUNCT
ejpam-6626	480	32	axioms	axiom	NOUN
ejpam-6626	480	33	,	,	PUNCT
ejpam-6626	480	34	8(4	8(4	NUM
ejpam-6626	480	35	)	)	PUNCT
ejpam-6626	480	36	(	(	PUNCT
ejpam-6626	480	37	2019	2019	NUM
ejpam-6626	480	38	)	)	PUNCT
ejpam-6626	480	39	,	,	PUNCT
ejpam-6626	480	40	125	125	NUM
ejpam-6626	480	41	.	.	PUNCT
ejpam-6626	480	42	https://doi.org/10	https://doi.org/10	PROPN
ejpam-6626	480	43	.	.	PUNCT
ejpam-6626	481	1	3390	3390	NUM
ejpam-6626	481	2	/	/	SYM
ejpam-6626	481	3	axioms8040125	axioms8040125	PROPN
ejpam-6626	481	4	i.	i.	PROPN
ejpam-6626	481	5	kadri	kadri	PROPN
ejpam-6626	481	6	et	et	PROPN
ejpam-6626	481	7	al	al	PROPN
ejpam-6626	481	8	.	.	PUNCT
ejpam-6626	481	9	/	/	SYM
ejpam-6626	481	10	eur	eur	PROPN
ejpam-6626	481	11	.	.	PUNCT
ejpam-6626	482	1	j.	j.	PROPN
ejpam-6626	482	2	pure	pure	PROPN
ejpam-6626	482	3	appl	appl	PROPN
ejpam-6626	482	4	.	.	PROPN
ejpam-6626	482	5	math	math	PROPN
ejpam-6626	482	6	,	,	PUNCT
ejpam-6626	482	7	18	18	NUM
ejpam-6626	482	8	(	(	PUNCT
ejpam-6626	482	9	3	3	NUM
ejpam-6626	482	10	)	)	PUNCT
ejpam-6626	482	11	(	(	PUNCT
ejpam-6626	482	12	2025	2025	NUM
ejpam-6626	482	13	)	)	PUNCT
ejpam-6626	482	14	,	,	PUNCT
ejpam-6626	482	15	6626	6626	NUM
ejpam-6626	482	16	23	23	NUM
ejpam-6626	482	17	of	of	ADP
ejpam-6626	482	18	24	24	NUM
ejpam-6626	482	19	[	[	SYM
ejpam-6626	482	20	22	22	NUM
ejpam-6626	482	21	]	]	X
ejpam-6626	482	22	mossa	mossa	PROPN
ejpam-6626	482	23	al	al	PROPN
ejpam-6626	482	24	-	-	PUNCT
ejpam-6626	482	25	sawalha	sawalha	NOUN
ejpam-6626	482	26	,	,	PUNCT
ejpam-6626	482	27	m.	m.	NOUN
ejpam-6626	482	28	,	,	PUNCT
ejpam-6626	482	29	osama	osama	PROPN
ejpam-6626	482	30	y.	y.	PROPN
ejpam-6626	482	31	ababneh	ababneh	PROPN
ejpam-6626	482	32	,	,	PUNCT
ejpam-6626	482	33	rasool	rasool	NOUN
ejpam-6626	482	34	shah	shah	PROPN
ejpam-6626	482	35	,	,	PUNCT
ejpam-6626	482	36	amjad	amjad	PROPN
ejpam-6626	482	37	khan	khan	PROPN
ejpam-6626	482	38	,	,	PUNCT
ejpam-6626	482	39	kamsing	kamse	VERB
ejpam-6626	482	40	nonlaopon	nonlaopon	ADV
ejpam-6626	482	41	,	,	PUNCT
ejpam-6626	482	42	numerical	numerical	ADJ
ejpam-6626	482	43	analysis	analysis	NOUN
ejpam-6626	482	44	of	of	ADP
ejpam-6626	482	45	fractional	fractional	ADJ
ejpam-6626	482	46	-	-	PUNCT
ejpam-6626	482	47	order	order	NOUN
ejpam-6626	482	48	whitham	whitham	NOUN
ejpam-6626	482	49	-	-	PUNCT
ejpam-6626	482	50	broer	broer	NOUN
ejpam-6626	482	51	-	-	PUNCT
ejpam-6626	482	52	kaup	kaup	NOUN
ejpam-6626	482	53	equations	equation	NOUN
ejpam-6626	482	54	with	with	ADP
ejpam-6626	482	55	non	non	ADJ
ejpam-6626	482	56	-	-	ADJ
ejpam-6626	482	57	singular	singular	ADJ
ejpam-6626	482	58	kernel	kernel	PROPN
ejpam-6626	482	59	operators[j	operators[j	PROPN
ejpam-6626	482	60	]	]	PUNCT
ejpam-6626	482	61	.	.	PUNCT
ejpam-6626	483	1	aims	aim	VERB
ejpam-6626	483	2	mathematics	mathematic	NOUN
ejpam-6626	483	3	,	,	PUNCT
ejpam-6626	483	4	2023	2023	NUM
ejpam-6626	483	5	,	,	PUNCT
ejpam-6626	483	6	8(1	8(1	NOUN
ejpam-6626	483	7	):	):	PUNCT
ejpam-6626	483	8	2308	2308	NUM
ejpam-6626	483	9	-	-	SYM
ejpam-6626	483	10	2336	2336	NUM
ejpam-6626	483	11	.	.	PUNCT
ejpam-6626	484	1	[	[	X
ejpam-6626	484	2	23	23	NUM
ejpam-6626	484	3	]	]	X
ejpam-6626	484	4	yadav	yadav	PROPN
ejpam-6626	484	5	,	,	PUNCT
ejpam-6626	484	6	l.	l.	PROPN
ejpam-6626	484	7	k.	k.	PROPN
ejpam-6626	484	8	,	,	PUNCT
ejpam-6626	484	9	gour	gour	PROPN
ejpam-6626	484	10	,	,	PUNCT
ejpam-6626	484	11	m.	m.	NOUN
ejpam-6626	484	12	m.	m.	NOUN
ejpam-6626	484	13	,	,	PUNCT
ejpam-6626	484	14	meena	meena	PROPN
ejpam-6626	484	15	,	,	PUNCT
ejpam-6626	484	16	v.	v.	PROPN
ejpam-6626	484	17	k.	k.	PROPN
ejpam-6626	484	18	,	,	PUNCT
ejpam-6626	484	19	bonyah	bonyah	PROPN
ejpam-6626	484	20	,	,	PUNCT
ejpam-6626	484	21	e.	e.	PROPN
ejpam-6626	484	22	,	,	PUNCT
ejpam-6626	484	23	purohit	purohit	PROPN
ejpam-6626	484	24	,	,	PUNCT
ejpam-6626	484	25	s.	s.	PROPN
ejpam-6626	484	26	d.	d.	PROPN
ejpam-6626	484	27	approximate	approximate	VERB
ejpam-6626	484	28	analytical	analytical	ADJ
ejpam-6626	484	29	solutions	solution	NOUN
ejpam-6626	484	30	of	of	ADP
ejpam-6626	484	31	fractional	fractional	ADJ
ejpam-6626	484	32	coupled	couple	VERB
ejpam-6626	484	33	whitham	whitham	NOUN
ejpam-6626	484	34	-	-	PUNCT
ejpam-6626	484	35	broer	broer	NOUN
ejpam-6626	484	36	-	-	PUNCT
ejpam-6626	484	37	kaup	kaup	PROPN
ejpam-6626	484	38	equations	equation	NOUN
ejpam-6626	484	39	via	via	ADP
ejpam-6626	484	40	novel	novel	ADJ
ejpam-6626	484	41	transform	transform	NOUN
ejpam-6626	484	42	.	.	PUNCT
ejpam-6626	485	1	an	an	DET
ejpam-6626	485	2	international	international	ADJ
ejpam-6626	485	3	journal	journal	NOUN
ejpam-6626	485	4	of	of	ADP
ejpam-6626	485	5	optimization	optimization	NOUN
ejpam-6626	485	6	and	and	CCONJ
ejpam-6626	485	7	control	control	NOUN
ejpam-6626	485	8	:	:	PUNCT
ejpam-6626	485	9	theories	theory	NOUN
ejpam-6626	485	10	and	and	CCONJ
ejpam-6626	485	11	applications	application	NOUN
ejpam-6626	485	12	2025	2025	NUM
ejpam-6626	485	13	,	,	PUNCT
ejpam-6626	485	14	15(1	15(1	NUM
ejpam-6626	485	15	)	)	PUNCT
ejpam-6626	485	16	,	,	PUNCT
ejpam-6626	485	17	35–49	35–49	NUM
ejpam-6626	485	18	.	.	PUNCT
ejpam-6626	486	1	https://doi.org/10.36922/ijocta.1554	https://doi.org/10.36922/ijocta.1554	X
ejpam-6626	487	1	[	[	X
ejpam-6626	487	2	24	24	NUM
ejpam-6626	487	3	]	]	X
ejpam-6626	487	4	asli	asli	PROPN
ejpam-6626	487	5	alkan	alkan	PROPN
ejpam-6626	487	6	,	,	PUNCT
ejpam-6626	487	7	halil	halil	PROPN
ejpam-6626	487	8	anac	anac	PROPN
ejpam-6626	487	9	,	,	PUNCT
ejpam-6626	487	10	the	the	DET
ejpam-6626	487	11	novel	novel	ADJ
ejpam-6626	487	12	numerical	numerical	ADJ
ejpam-6626	487	13	solutions	solution	NOUN
ejpam-6626	487	14	for	for	ADP
ejpam-6626	487	15	time	time	NOUN
ejpam-6626	487	16	-	-	PUNCT
ejpam-6626	487	17	fractional	fractional	ADJ
ejpam-6626	487	18	fornbergwhitham	fornbergwhitham	NOUN
ejpam-6626	487	19	equation	equation	NOUN
ejpam-6626	487	20	by	by	ADP
ejpam-6626	487	21	using	use	VERB
ejpam-6626	487	22	fractional	fractional	ADJ
ejpam-6626	487	23	natural	natural	ADJ
ejpam-6626	487	24	transform	transform	NOUN
ejpam-6626	487	25	decomposition	decomposition	NOUN
ejpam-6626	487	26	method[j	method[j	NOUN
ejpam-6626	487	27	]	]	PUNCT
ejpam-6626	487	28	.	.	PUNCT
ejpam-6626	488	1	aims	aim	VERB
ejpam-6626	488	2	mathematics	mathematic	NOUN
ejpam-6626	488	3	,	,	PUNCT
ejpam-6626	488	4	2024	2024	NUM
ejpam-6626	488	5	,	,	PUNCT
ejpam-6626	488	6	9(9	9(9	NUM
ejpam-6626	488	7	):	):	PUNCT
ejpam-6626	488	8	25333	25333	NUM
ejpam-6626	488	9	-	-	SYM
ejpam-6626	488	10	25359	25359	NUM
ejpam-6626	488	11	.	.	PUNCT
ejpam-6626	489	1	[	[	X
ejpam-6626	489	2	25	25	NUM
ejpam-6626	489	3	]	]	X
ejpam-6626	489	4	singh	singh	PROPN
ejpam-6626	489	5	,	,	PUNCT
ejpam-6626	489	6	j.	j.	PROPN
ejpam-6626	489	7	,	,	PUNCT
ejpam-6626	489	8	gupta	gupta	PROPN
ejpam-6626	489	9	,	,	PUNCT
ejpam-6626	489	10	a.	a.	NOUN
ejpam-6626	489	11	,	,	PUNCT
ejpam-6626	489	12	and	and	CCONJ
ejpam-6626	489	13	baleanu	baleanu	NOUN
ejpam-6626	489	14	,	,	PUNCT
ejpam-6626	489	15	d.	d.	PROPN
ejpam-6626	489	16	,	,	PUNCT
ejpam-6626	489	17	computational	computational	ADJ
ejpam-6626	489	18	analysis	analysis	NOUN
ejpam-6626	489	19	for	for	ADP
ejpam-6626	489	20	fractional	fractional	ADJ
ejpam-6626	489	21	model	model	NOUN
ejpam-6626	489	22	of	of	ADP
ejpam-6626	489	23	coupled	couple	VERB
ejpam-6626	489	24	whitham	whitham	NOUN
ejpam-6626	489	25	-	-	PUNCT
ejpam-6626	489	26	broer	broer	NOUN
ejpam-6626	489	27	-	-	PUNCT
ejpam-6626	489	28	kaup	kaup	NOUN
ejpam-6626	489	29	equation	equation	NOUN
ejpam-6626	489	30	,	,	PUNCT
ejpam-6626	489	31	alexandria	alexandria	PROPN
ejpam-6626	489	32	engineering	engineering	PROPN
ejpam-6626	489	33	journal	journal	PROPN
ejpam-6626	489	34	,	,	PUNCT
ejpam-6626	489	35	(	(	PUNCT
ejpam-6626	489	36	2025	2025	NUM
ejpam-6626	489	37	)	)	PUNCT
ejpam-6626	489	38	110	110	NUM
ejpam-6626	489	39	,	,	PUNCT
ejpam-6626	489	40	613	613	NUM
ejpam-6626	489	41	-	-	SYM
ejpam-6626	489	42	628	628	NUM
ejpam-6626	489	43	.	.	PUNCT
ejpam-6626	490	1	https://doi.org/10.1016/j.aej.2024.09.061	https://doi.org/10.1016/j.aej.2024.09.061	VERB
ejpam-6626	491	1	[	[	X
ejpam-6626	491	2	26	26	NUM
ejpam-6626	491	3	]	]	X
ejpam-6626	491	4	ali	ali	PROPN
ejpam-6626	491	5	,	,	PUNCT
ejpam-6626	491	6	a.	a.	PROPN
ejpam-6626	491	7	,	,	PUNCT
ejpam-6626	491	8	shah	shah	NOUN
ejpam-6626	491	9	,	,	PUNCT
ejpam-6626	491	10	k.	k.	PROPN
ejpam-6626	491	11	,	,	PUNCT
ejpam-6626	491	12	and	and	CCONJ
ejpam-6626	491	13	khan	khan	PROPN
ejpam-6626	491	14	,	,	PUNCT
ejpam-6626	491	15	r.	r.	PROPN
ejpam-6626	491	16	a.	a.	PROPN
ejpam-6626	491	17	numerical	numerical	PROPN
ejpam-6626	491	18	treatment	treatment	PROPN
ejpam-6626	491	19	for	for	ADP
ejpam-6626	491	20	traveling	travel	VERB
ejpam-6626	491	21	wave	wave	NOUN
ejpam-6626	491	22	solutions	solution	NOUN
ejpam-6626	491	23	of	of	ADP
ejpam-6626	491	24	fractional	fractional	ADJ
ejpam-6626	491	25	whitham	whitham	NOUN
ejpam-6626	491	26	-	-	PUNCT
ejpam-6626	491	27	broer	broer	NOUN
ejpam-6626	491	28	-	-	PUNCT
ejpam-6626	491	29	kaup	kaup	PROPN
ejpam-6626	491	30	equations	equation	NOUN
ejpam-6626	491	31	,	,	PUNCT
ejpam-6626	491	32	alexandria	alexandria	PROPN
ejpam-6626	491	33	engineering	engineering	PROPN
ejpam-6626	491	34	journal	journal	PROPN
ejpam-6626	491	35	,	,	PUNCT
ejpam-6626	491	36	(	(	PUNCT
ejpam-6626	491	37	2018	2018	NUM
ejpam-6626	491	38	)	)	PUNCT
ejpam-6626	491	39	57(3	57(3	NUM
ejpam-6626	491	40	)	)	PUNCT
ejpam-6626	491	41	,	,	PUNCT
ejpam-6626	491	42	1991	1991	NUM
ejpam-6626	491	43	-	-	SYM
ejpam-6626	491	44	1998	1998	NUM
ejpam-6626	491	45	.	.	PUNCT
ejpam-6626	492	1	https://doi.org/10.1016/j.aej.2017.04.012	https://doi.org/10.1016/j.aej.2017.04.012	PROPN
ejpam-6626	492	2	[	[	X
ejpam-6626	492	3	27	27	NUM
ejpam-6626	492	4	]	]	X
ejpam-6626	492	5	ahmad	ahmad	PROPN
ejpam-6626	492	6	,	,	PUNCT
ejpam-6626	492	7	m.	m.	PROPN
ejpam-6626	492	8	mushtaq	mushtaq	PROPN
ejpam-6626	492	9	,	,	PUNCT
ejpam-6626	492	10	and	and	CCONJ
ejpam-6626	492	11	sajjad	sajjad	PROPN
ejpam-6626	492	12	,	,	PUNCT
ejpam-6626	492	13	n.	n.	NOUN
ejpam-6626	492	14	exact	exact	ADJ
ejpam-6626	492	15	solution	solution	NOUN
ejpam-6626	492	16	of	of	ADP
ejpam-6626	492	17	whitham	whitham	PROPN
ejpam-6626	492	18	broer	broer	NOUN
ejpam-6626	492	19	-	-	PUNCT
ejpam-6626	492	20	kaup	kaup	PROPN
ejpam-6626	492	21	shallow	shallow	PROPN
ejpam-6626	492	22	water	water	NOUN
ejpam-6626	492	23	wave	wave	NOUN
ejpam-6626	492	24	equations	equation	NOUN
ejpam-6626	492	25	.	.	PUNCT
ejpam-6626	493	1	journal	journal	PROPN
ejpam-6626	493	2	of	of	ADP
ejpam-6626	493	3	science	science	NOUN
ejpam-6626	493	4	and	and	CCONJ
ejpam-6626	493	5	arts	art	NOUN
ejpam-6626	493	6	,	,	PUNCT
ejpam-6626	493	7	(	(	PUNCT
ejpam-6626	493	8	2015	2015	NUM
ejpam-6626	493	9	)	)	PUNCT
ejpam-6626	493	10	15(1	15(1	NUM
ejpam-6626	493	11	)	)	PUNCT
ejpam-6626	493	12	,	,	PUNCT
ejpam-6626	493	13	5	5	NUM
ejpam-6626	493	14	.	.	PUNCT
ejpam-6626	494	1	https://doi	https://doi	NOUN
ejpam-6626	494	2	.	.	PUNCT
ejpam-6626	495	1	org/10.3390	org/10.3390	PROPN
ejpam-6626	495	2	/	/	SYM
ejpam-6626	495	3	a9010005	a9010005	VERB
ejpam-6626	496	1	[	[	X
ejpam-6626	496	2	28	28	NUM
ejpam-6626	496	3	]	]	X
ejpam-6626	496	4	shah	shah	NOUN
ejpam-6626	496	5	,	,	PUNCT
ejpam-6626	496	6	n.a	n.a	PROPN
ejpam-6626	496	7	.	.	PROPN
ejpam-6626	496	8	,	,	PUNCT
ejpam-6626	496	9	chung	chung	PROPN
ejpam-6626	496	10	,	,	PUNCT
ejpam-6626	496	11	j.d	j.d	PROPN
ejpam-6626	496	12	.	.	PUNCT
ejpam-6626	497	1	the	the	DET
ejpam-6626	497	2	analytical	analytical	ADJ
ejpam-6626	497	3	solution	solution	NOUN
ejpam-6626	497	4	of	of	ADP
ejpam-6626	497	5	fractional	fractional	ADJ
ejpam-6626	497	6	-	-	PUNCT
ejpam-6626	497	7	order	order	NOUN
ejpam-6626	497	8	whitham	whitham	NOUN
ejpam-6626	497	9	-	-	PUNCT
ejpam-6626	497	10	broerkaup	broerkaup	NOUN
ejpam-6626	497	11	equations	equation	NOUN
ejpam-6626	497	12	by	by	ADP
ejpam-6626	497	13	an	an	DET
ejpam-6626	497	14	elzaki	elzaki	NOUN
ejpam-6626	497	15	decomposition	decomposition	NOUN
ejpam-6626	497	16	method	method	NOUN
ejpam-6626	497	17	,	,	PUNCT
ejpam-6626	497	18	numer	numer	NOUN
ejpam-6626	497	19	.	.	PUNCT
ejpam-6626	498	1	methods	method	NOUN
ejpam-6626	498	2	partial	partial	ADJ
ejpam-6626	498	3	differ	differ	VERB
ejpam-6626	498	4	.	.	PUNCT
ejpam-6626	499	1	equ	equ	PROPN
ejpam-6626	499	2	.	.	PUNCT
ejpam-6626	499	3	(	(	PUNCT
ejpam-6626	499	4	2021	2021	NUM
ejpam-6626	499	5	)	)	PUNCT
ejpam-6626	499	6	,	,	PUNCT
ejpam-6626	499	7	pp	pp	ADP
ejpam-6626	499	8	.	.	PUNCT
ejpam-6626	500	1	1	1	NUM
ejpam-6626	500	2	-	-	SYM
ejpam-6626	500	3	18	18	NUM
ejpam-6626	500	4	.	.	PUNCT
ejpam-6626	501	1	https://doi.org/10.1002/num.22748	https://doi.org/10.1002/num.22748	NOUN
ejpam-6626	501	2	[	[	PUNCT
ejpam-6626	501	3	29	29	NUM
ejpam-6626	501	4	]	]	X
ejpam-6626	501	5	oldham	oldham	PROPN
ejpam-6626	501	6	,	,	PUNCT
ejpam-6626	501	7	k.b	k.b	PROPN
ejpam-6626	501	8	.	.	PROPN
ejpam-6626	501	9	,	,	PUNCT
ejpam-6626	501	10	spanier	spanier	NOUN
ejpam-6626	501	11	,	,	PUNCT
ejpam-6626	501	12	j.	j.	PROPN
ejpam-6626	501	13	the	the	DET
ejpam-6626	501	14	fractional	fractional	ADJ
ejpam-6626	501	15	calculus	calculus	NOUN
ejpam-6626	501	16	:	:	PUNCT
ejpam-6626	501	17	theory	theory	NOUN
ejpam-6626	501	18	and	and	CCONJ
ejpam-6626	501	19	applications	application	NOUN
ejpam-6626	501	20	of	of	ADP
ejpam-6626	501	21	differentiation	differentiation	NOUN
ejpam-6626	501	22	and	and	CCONJ
ejpam-6626	501	23	integration	integration	NOUN
ejpam-6626	501	24	to	to	ADP
ejpam-6626	501	25	arbitrary	arbitrary	ADJ
ejpam-6626	501	26	order	order	NOUN
ejpam-6626	501	27	academic	academic	ADJ
ejpam-6626	501	28	press	press	NOUN
ejpam-6626	501	29	,	,	PUNCT
ejpam-6626	501	30	new	new	PROPN
ejpam-6626	501	31	york	york	PROPN
ejpam-6626	501	32	(	(	PUNCT
ejpam-6626	501	33	1974	1974	NUM
ejpam-6626	501	34	)	)	PUNCT
ejpam-6626	501	35	.	.	PUNCT
ejpam-6626	502	1	[	[	X
ejpam-6626	502	2	30	30	NUM
ejpam-6626	502	3	]	]	X
ejpam-6626	502	4	miller	miller	PROPN
ejpam-6626	502	5	,	,	PUNCT
ejpam-6626	502	6	k.s	k.s	PROPN
ejpam-6626	502	7	.	.	PROPN
ejpam-6626	502	8	,	,	PUNCT
ejpam-6626	502	9	ross	ross	PROPN
ejpam-6626	502	10	,	,	PUNCT
ejpam-6626	502	11	b.	b.	PROPN
ejpam-6626	502	12	an	an	DET
ejpam-6626	502	13	introduction	introduction	NOUN
ejpam-6626	502	14	to	to	ADP
ejpam-6626	502	15	the	the	DET
ejpam-6626	502	16	fractional	fractional	ADJ
ejpam-6626	502	17	calculus	calculus	NOUN
ejpam-6626	502	18	and	and	CCONJ
ejpam-6626	502	19	fractional	fractional	ADJ
ejpam-6626	502	20	differential	differential	ADJ
ejpam-6626	502	21	equations	equation	NOUN
ejpam-6626	502	22	john	john	PROPN
ejpam-6626	502	23	wiley	wiley	PROPN
ejpam-6626	502	24	and	and	CCONJ
ejpam-6626	502	25	sons	son	NOUN
ejpam-6626	502	26	,	,	PUNCT
ejpam-6626	502	27	new	new	PROPN
ejpam-6626	502	28	york	york	PROPN
ejpam-6626	502	29	,	,	PUNCT
ejpam-6626	502	30	ny	ny	PROPN
ejpam-6626	502	31	,	,	PUNCT
ejpam-6626	502	32	usa	usa	PROPN
ejpam-6626	502	33	(	(	PUNCT
ejpam-6626	502	34	1993	1993	NUM
ejpam-6626	502	35	)	)	PUNCT
ejpam-6626	502	36	.	.	PUNCT
ejpam-6626	503	1	[	[	X
ejpam-6626	503	2	31	31	NUM
ejpam-6626	503	3	]	]	X
ejpam-6626	503	4	xie	xie	PROPN
ejpam-6626	503	5	,	,	PUNCT
ejpam-6626	503	6	f.	f.	PROPN
ejpam-6626	503	7	,	,	PUNCT
ejpam-6626	503	8	yan	yan	PROPN
ejpam-6626	503	9	,	,	PUNCT
ejpam-6626	503	10	z.	z.	PROPN
ejpam-6626	503	11	,	,	PUNCT
ejpam-6626	503	12	and	and	CCONJ
ejpam-6626	503	13	zhang	zhang	PROPN
ejpam-6626	503	14	,	,	PUNCT
ejpam-6626	503	15	h.	h.	PROPN
ejpam-6626	503	16	q.	q.	PROPN
ejpam-6626	503	17	explicit	explicit	ADJ
ejpam-6626	503	18	and	and	CCONJ
ejpam-6626	503	19	exact	exact	ADJ
ejpam-6626	503	20	traveling	traveling	ADJ
ejpam-6626	503	21	wave	wave	NOUN
ejpam-6626	503	22	solutions	solution	NOUN
ejpam-6626	503	23	of	of	ADP
ejpam-6626	503	24	whitham	whitham	NOUN
ejpam-6626	503	25	–	–	PUNCT
ejpam-6626	503	26	broer	broer	NOUN
ejpam-6626	503	27	–	–	PUNCT
ejpam-6626	503	28	kaup	kaup	PROPN
ejpam-6626	503	29	shallow	shallow	PROPN
ejpam-6626	503	30	water	water	NOUN
ejpam-6626	503	31	equations	equation	NOUN
ejpam-6626	503	32	,	,	PUNCT
ejpam-6626	503	33	physics	physics	NOUN
ejpam-6626	503	34	letters	letter	NOUN
ejpam-6626	503	35	.	.	PUNCT
ejpam-6626	504	1	(	(	PUNCT
ejpam-6626	504	2	2001	2001	NUM
ejpam-6626	504	3	)	)	PUNCT
ejpam-6626	504	4	285	285	NUM
ejpam-6626	504	5	,	,	PUNCT
ejpam-6626	504	6	76–80	76–80	NUM
ejpam-6626	504	7	.	.	PUNCT
ejpam-6626	505	1	https://doi.org/10.1016/s0375-9601(01)00333-4	https://doi.org/10.1016/s0375-9601(01)00333-4	PROPN
ejpam-6626	506	1	[	[	X
ejpam-6626	506	2	32	32	NUM
ejpam-6626	506	3	]	]	PUNCT
ejpam-6626	506	4	broer	broer	NOUN
ejpam-6626	506	5	,	,	PUNCT
ejpam-6626	506	6	l.	l.	PROPN
ejpam-6626	506	7	j.	j.	PROPN
ejpam-6626	506	8	approximate	approximate	PROPN
ejpam-6626	506	9	equations	equation	NOUN
ejpam-6626	506	10	for	for	ADP
ejpam-6626	506	11	long	long	ADJ
ejpam-6626	506	12	water	water	NOUN
ejpam-6626	506	13	waves	wave	NOUN
ejpam-6626	506	14	,	,	PUNCT
ejpam-6626	506	15	applied	apply	VERB
ejpam-6626	506	16	scientific	scientific	ADJ
ejpam-6626	506	17	research	research	NOUN
ejpam-6626	506	18	.	.	PUNCT
ejpam-6626	507	1	(	(	PUNCT
ejpam-6626	507	2	1975	1975	NUM
ejpam-6626	507	3	)	)	PUNCT
ejpam-6626	507	4	31	31	NUM
ejpam-6626	507	5	,	,	PUNCT
ejpam-6626	507	6	377–395	377–395	NUM
ejpam-6626	507	7	.	.	PUNCT
ejpam-6626	507	8	https://doi.org/10.1007/bf00418048	https://doi.org/10.1007/bf00418048	X
ejpam-6626	508	1	[	[	X
ejpam-6626	508	2	33	33	NUM
ejpam-6626	508	3	]	]	PUNCT
ejpam-6626	508	4	rashidi	rashidi	NOUN
ejpam-6626	508	5	,	,	PUNCT
ejpam-6626	508	6	m.	m.	NOUN
ejpam-6626	508	7	m.	m.	NOUN
ejpam-6626	508	8	,	,	PUNCT
ejpam-6626	508	9	ganji	ganji	PROPN
ejpam-6626	508	10	,	,	PUNCT
ejpam-6626	508	11	d.	d.	PROPN
ejpam-6626	508	12	d.	d.	PROPN
ejpam-6626	508	13	and	and	CCONJ
ejpam-6626	508	14	dinarvand	dinarvand	PROPN
ejpam-6626	508	15	,	,	PUNCT
ejpam-6626	508	16	s.	s.	PROPN
ejpam-6626	508	17	approximate	approximate	VERB
ejpam-6626	508	18	traveling	travel	VERB
ejpam-6626	508	19	wave	wave	NOUN
ejpam-6626	508	20	solutions	solution	NOUN
ejpam-6626	508	21	of	of	ADP
ejpam-6626	508	22	coupled	couple	VERB
ejpam-6626	508	23	whitham	whitham	NOUN
ejpam-6626	508	24	-	-	PUNCT
ejpam-6626	508	25	broer	broer	NOUN
ejpam-6626	508	26	-	-	PUNCT
ejpam-6626	508	27	kaup	kaup	NOUN
ejpam-6626	508	28	shallow	shallow	PROPN
ejpam-6626	508	29	water	water	NOUN
ejpam-6626	508	30	equations	equation	NOUN
ejpam-6626	508	31	by	by	ADP
ejpam-6626	508	32	homotopy	homotopy	NOUN
ejpam-6626	508	33	analysis	analysis	NOUN
ejpam-6626	508	34	method	method	NOUN
ejpam-6626	508	35	,	,	PUNCT
ejpam-6626	508	36	differential	differential	ADJ
ejpam-6626	508	37	equations	equation	NOUN
ejpam-6626	508	38	and	and	CCONJ
ejpam-6626	508	39	nonlinear	nonlinear	ADJ
ejpam-6626	508	40	mechanics	mechanic	NOUN
ejpam-6626	508	41	.	.	PUNCT
ejpam-6626	509	1	(	(	PUNCT
ejpam-6626	509	2	2008	2008	NUM
ejpam-6626	509	3	)	)	PUNCT
ejpam-6626	509	4	2008	2008	NUM
ejpam-6626	509	5	,	,	PUNCT
ejpam-6626	509	6	8	8	NUM
ejpam-6626	509	7	,	,	PUNCT
ejpam-6626	509	8	243459	243459	NUM
ejpam-6626	509	9	,	,	PUNCT
ejpam-6626	509	10	https://doi.org/10.1155/2008/243459	https://doi.org/10.1155/2008/243459	PROPN
ejpam-6626	509	11	2	2	NUM
ejpam-6626	509	12	-	-	PUNCT
ejpam-6626	509	13	s2.0	s2.0	NOUN
ejpam-6626	509	14	-	-	PUNCT
ejpam-6626	509	15	48849115275	48849115275	NUM
ejpam-6626	509	16	.	.	PUNCT
ejpam-6626	510	1	[	[	X
ejpam-6626	510	2	34	34	NUM
ejpam-6626	510	3	]	]	X
ejpam-6626	510	4	yasmin	yasmin	PROPN
ejpam-6626	510	5	,	,	PUNCT
ejpam-6626	510	6	h.	h.	PROPN
ejpam-6626	510	7	,	,	PUNCT
ejpam-6626	510	8	and	and	CCONJ
ejpam-6626	510	9	iqbal	iqbal	PROPN
ejpam-6626	510	10	,	,	PUNCT
ejpam-6626	510	11	n.	n.	PROPN
ejpam-6626	510	12	a	a	DET
ejpam-6626	510	13	comparative	comparative	ADJ
ejpam-6626	510	14	study	study	NOUN
ejpam-6626	510	15	of	of	ADP
ejpam-6626	510	16	the	the	DET
ejpam-6626	510	17	fractional	fractional	ADJ
ejpam-6626	510	18	-order	-order	PROPN
ejpam-6626	510	19	nonlinear	nonlinear	ADJ
ejpam-6626	510	20	system	system	NOUN
ejpam-6626	510	21	of	of	ADP
ejpam-6626	510	22	physical	physical	ADJ
ejpam-6626	510	23	models	model	NOUN
ejpam-6626	510	24	via	via	ADP
ejpam-6626	510	25	analytical	analytical	ADJ
ejpam-6626	510	26	methods	method	NOUN
ejpam-6626	510	27	,	,	PUNCT
ejpam-6626	510	28	mathematical	mathematical	ADJ
ejpam-6626	510	29	problems	problem	NOUN
ejpam-6626	510	30	in	in	ADP
ejpam-6626	510	31	engineering	engineering	NOUN
ejpam-6626	510	32	.	.	PUNCT
ejpam-6626	511	1	(	(	PUNCT
ejpam-6626	511	2	2022	2022	NUM
ejpam-6626	511	3	)	)	PUNCT
ejpam-6626	511	4	2022	2022	NUM
ejpam-6626	511	5	,	,	PUNCT
ejpam-6626	511	6	23	23	NUM
ejpam-6626	511	7	,	,	PUNCT
ejpam-6626	511	8	7488996	7488996	NUM
ejpam-6626	511	9	,	,	PUNCT
ejpam-6626	511	10	https://doi.org/10.1155/2022/7488996	https://doi.org/10.1155/2022/7488996	NOUN
ejpam-6626	512	1	[	[	X
ejpam-6626	512	2	35	35	NUM
ejpam-6626	512	3	]	]	SYM
ejpam-6626	512	4	elbadri	elbadri	ADJ
ejpam-6626	512	5	,	,	PUNCT
ejpam-6626	512	6	m.	m.	NOUN
ejpam-6626	512	7	,	,	PUNCT
ejpam-6626	512	8	abdoon	abdoon	PROPN
ejpam-6626	512	9	,	,	PUNCT
ejpam-6626	512	10	m.	m.	NOUN
ejpam-6626	512	11	a.	a.	PROPN
ejpam-6626	512	12	,	,	PUNCT
ejpam-6626	512	13	alzahrani	alzahrani	PROPN
ejpam-6626	512	14	,	,	PUNCT
ejpam-6626	512	15	a.b.m	a.b.m	ADJ
ejpam-6626	512	16	.	.	PROPN
ejpam-6626	512	17	,	,	PUNCT
ejpam-6626	512	18	saadeh	saadeh	PROPN
ejpam-6626	512	19	,	,	PUNCT
ejpam-6626	512	20	r.	r.	PROPN
ejpam-6626	512	21	,	,	PUNCT
ejpam-6626	512	22	berir	berir	NOUN
ejpam-6626	512	23	,	,	PUNCT
ejpam-6626	512	24	m.	m.	NOUN
ejpam-6626	512	25	a.	a.	NOUN
ejpam-6626	512	26	comparative	comparative	PROPN
ejpam-6626	512	27	study	study	PROPN
ejpam-6626	512	28	and	and	CCONJ
ejpam-6626	512	29	numerical	numerical	ADJ
ejpam-6626	512	30	solutions	solution	NOUN
ejpam-6626	512	31	for	for	ADP
ejpam-6626	512	32	the	the	DET
ejpam-6626	512	33	fractional	fractional	ADJ
ejpam-6626	512	34	modified	modify	VERB
ejpam-6626	512	35	lorenz	lorenz	PROPN
ejpam-6626	512	36	–	–	PUNCT
ejpam-6626	512	37	stenflo	stenflo	ADJ
ejpam-6626	512	38	system	system	NOUN
ejpam-6626	512	39	using	use	VERB
ejpam-6626	512	40	two	two	NUM
ejpam-6626	512	41	methods	method	NOUN
ejpam-6626	512	42	.	.	PUNCT
ejpam-6626	513	1	axioms	axioms	PROPN
ejpam-6626	513	2	2025	2025	NUM
ejpam-6626	513	3	,	,	PUNCT
ejpam-6626	513	4	14	14	NUM
ejpam-6626	513	5	.	.	PUNCT
ejpam-6626	514	1	https://doi.org/10.3390/	https://doi.org/10.3390/	PROPN
ejpam-6626	514	2	axioms14010020	axioms14010020	VERB
ejpam-6626	515	1	[	[	X
ejpam-6626	515	2	36	36	NUM
ejpam-6626	515	3	]	]	SYM
ejpam-6626	515	4	elbadri	elbadri	ADJ
ejpam-6626	515	5	,	,	PUNCT
ejpam-6626	515	6	m.	m.	NOUN
ejpam-6626	515	7	,	,	PUNCT
ejpam-6626	515	8	abdoon	abdoon	PROPN
ejpam-6626	515	9	,	,	PUNCT
ejpam-6626	515	10	m.	m.	NOUN
ejpam-6626	515	11	a.	a.	PROPN
ejpam-6626	515	12	,	,	PUNCT
ejpam-6626	515	13	almutairi	almutairi	PROPN
ejpam-6626	515	14	,	,	PUNCT
ejpam-6626	515	15	d.	d.	PROPN
ejpam-6626	515	16	k.	k.	PROPN
ejpam-6626	515	17	,	,	PUNCT
ejpam-6626	515	18	almutairi	almutairi	PROPN
ejpam-6626	515	19	,	,	PUNCT
ejpam-6626	515	20	d.	d.	PROPN
ejpam-6626	515	21	m.	m.	PROPN
ejpam-6626	515	22	,	,	PUNCT
ejpam-6626	515	23	berir	berir	NOUN
ejpam-6626	515	24	,	,	PUNCT
ejpam-6626	515	25	m.	m.	PROPN
ejpam-6626	515	26	numerical	numerical	PROPN
ejpam-6626	515	27	i.	i.	PROPN
ejpam-6626	515	28	kadri	kadri	PROPN
ejpam-6626	515	29	et	et	PROPN
ejpam-6626	515	30	al	al	PROPN
ejpam-6626	515	31	.	.	PUNCT
ejpam-6626	515	32	/	/	SYM
ejpam-6626	515	33	eur	eur	PROPN
ejpam-6626	515	34	.	.	PUNCT
ejpam-6626	516	1	j.	j.	PROPN
ejpam-6626	516	2	pure	pure	PROPN
ejpam-6626	516	3	appl	appl	PROPN
ejpam-6626	516	4	.	.	PROPN
ejpam-6626	516	5	math	math	PROPN
ejpam-6626	516	6	,	,	PUNCT
ejpam-6626	516	7	18	18	NUM
ejpam-6626	516	8	(	(	PUNCT
ejpam-6626	516	9	3	3	NUM
ejpam-6626	516	10	)	)	PUNCT
ejpam-6626	516	11	(	(	PUNCT
ejpam-6626	516	12	2025	2025	NUM
ejpam-6626	516	13	)	)	PUNCT
ejpam-6626	516	14	,	,	PUNCT
ejpam-6626	516	15	6626	6626	NUM
ejpam-6626	516	16	24	24	NUM
ejpam-6626	516	17	of	of	ADP
ejpam-6626	516	18	24	24	NUM
ejpam-6626	516	19	simulation	simulation	NOUN
ejpam-6626	516	20	and	and	CCONJ
ejpam-6626	516	21	solutions	solution	NOUN
ejpam-6626	516	22	for	for	ADP
ejpam-6626	516	23	the	the	DET
ejpam-6626	516	24	fractional	fractional	ADJ
ejpam-6626	516	25	chen	chen	PROPN
ejpam-6626	516	26	system	system	NOUN
ejpam-6626	516	27	via	via	ADP
ejpam-6626	516	28	newly	newly	ADV
ejpam-6626	516	29	proposed	propose	VERB
ejpam-6626	516	30	methods	method	NOUN
ejpam-6626	516	31	.	.	PUNCT
ejpam-6626	517	1	fractal	fractal	ADJ
ejpam-6626	517	2	fract	fract	PROPN
ejpam-6626	517	3	.	.	PUNCT
ejpam-6626	518	1	2024	2024	NUM
ejpam-6626	518	2	,	,	PUNCT
ejpam-6626	518	3	8	8	NUM
ejpam-6626	518	4	,	,	PUNCT
ejpam-6626	518	5	709	709	NUM
ejpam-6626	518	6	.	.	PUNCT
ejpam-6626	518	7	https://doi.org/10.3390/fractalfract8120709	https://doi.org/10.3390/fractalfract8120709	PROPN
ejpam-6626	519	1	[	[	X
ejpam-6626	519	2	37	37	NUM
ejpam-6626	519	3	]	]	X
ejpam-6626	519	4	kadri	kadri	PROPN
ejpam-6626	519	5	,	,	PUNCT
ejpam-6626	519	6	i.	i.	PROPN
ejpam-6626	519	7	,	,	PUNCT
ejpam-6626	519	8	horani	horani	PROPN
ejpam-6626	519	9	,	,	PUNCT
ejpam-6626	519	10	m.	m.	NOUN
ejpam-6626	519	11	,	,	PUNCT
ejpam-6626	519	12	khalil	khalil	PROPN
ejpam-6626	519	13	,	,	PUNCT
ejpam-6626	519	14	r.	r.	PROPN
ejpam-6626	519	15	tensor	tensor	NOUN
ejpam-6626	519	16	product	product	NOUN
ejpam-6626	519	17	technique	technique	NOUN
ejpam-6626	519	18	and	and	CCONJ
ejpam-6626	519	19	fractional	fractional	ADJ
ejpam-6626	519	20	differential	differential	ADJ
ejpam-6626	519	21	equations	equation	NOUN
ejpam-6626	519	22	,	,	PUNCT
ejpam-6626	519	23	j.	j.	PROPN
ejpam-6626	519	24	semigroup	semigroup	PROPN
ejpam-6626	519	25	theory	theory	NOUN
ejpam-6626	519	26	appl	appl	PROPN
ejpam-6626	519	27	.	.	PROPN
ejpam-6626	519	28	,	,	PUNCT
ejpam-6626	519	29	2020	2020	NUM
ejpam-6626	519	30	(	(	PUNCT
ejpam-6626	519	31	2020	2020	NUM
ejpam-6626	519	32	)	)	PUNCT
ejpam-6626	519	33	,	,	PUNCT
ejpam-6626	519	34	article	article	NOUN
ejpam-6626	519	35	i	i	PROPN
ejpam-6626	519	36	d	d	PROPN
ejpam-6626	519	37	6	6	NUM
ejpam-6626	519	38	.	.	PUNCT
ejpam-6626	519	39	https://doi.org/	https://doi.org/	NOUN
ejpam-6626	519	40	10.28919	10.28919	NUM
ejpam-6626	519	41	/	/	SYM
ejpam-6626	519	42	jsta/1838	jsta/1838	NOUN
ejpam-6626	519	43	[	[	PUNCT
ejpam-6626	519	44	38	38	NUM
ejpam-6626	519	45	]	]	X
ejpam-6626	519	46	hasan	hasan	PROPN
ejpam-6626	519	47	,	,	PUNCT
ejpam-6626	519	48	f.	f.	PROPN
ejpam-6626	519	49	l.	l.	PROPN
ejpam-6626	519	50	,	,	PUNCT
ejpam-6626	519	51	abdoon	abdoon	PROPN
ejpam-6626	519	52	,	,	PUNCT
ejpam-6626	519	53	m.	m.	NOUN
ejpam-6626	519	54	a.	a.	PROPN
ejpam-6626	519	55	,	,	PUNCT
ejpam-6626	519	56	saadeh	saadeh	PROPN
ejpam-6626	519	57	,	,	PUNCT
ejpam-6626	519	58	r.	r.	PROPN
ejpam-6626	519	59	,	,	PUNCT
ejpam-6626	519	60	qazza	qazza	PROPN
ejpam-6626	519	61	,	,	PUNCT
ejpam-6626	519	62	a.	a.	PROPN
ejpam-6626	519	63	,	,	PUNCT
ejpam-6626	519	64	almutairi	almutairi	PROPN
ejpam-6626	519	65	,	,	PUNCT
ejpam-6626	519	66	d.	d.	PROPN
ejpam-6626	519	67	k.	k.	PROPN
ejpam-6626	519	68	exploring	explore	VERB
ejpam-6626	519	69	analytical	analytical	ADJ
ejpam-6626	519	70	results	result	NOUN
ejpam-6626	519	71	for	for	ADP
ejpam-6626	519	72	(	(	PUNCT
ejpam-6626	519	73	2	2	NUM
ejpam-6626	519	74	+	+	NOUN
ejpam-6626	519	75	1	1	NUM
ejpam-6626	519	76	)	)	PUNCT
ejpam-6626	519	77	dimensional	dimensional	ADJ
ejpam-6626	519	78	breaking	break	VERB
ejpam-6626	519	79	soliton	soliton	NOUN
ejpam-6626	519	80	equation	equation	NOUN
ejpam-6626	519	81	and	and	CCONJ
ejpam-6626	519	82	stochastic	stochastic	ADJ
ejpam-6626	519	83	fractional	fractional	ADJ
ejpam-6626	519	84	broer	broer	NOUN
ejpam-6626	519	85	-	-	PUNCT
ejpam-6626	519	86	kaup	kaup	PROPN
ejpam-6626	519	87	system	system	NOUN
ejpam-6626	519	88	.	.	PUNCT
ejpam-6626	520	1	aims	aim	VERB
ejpam-6626	520	2	mathematics	mathematic	NOUN
ejpam-6626	520	3	,	,	PUNCT
ejpam-6626	520	4	2024	2024	NUM
ejpam-6626	520	5	,	,	PUNCT
ejpam-6626	520	6	9(5	9(5	NUM
ejpam-6626	520	7	):	):	PUNCT
ejpam-6626	520	8	11622	11622	NUM
ejpam-6626	520	9	-	-	SYM
ejpam-6626	520	10	11643	11643	NUM
ejpam-6626	520	11	.	.	PUNCT
ejpam-6626	521	1	[	[	X
ejpam-6626	521	2	39	39	NUM
ejpam-6626	521	3	]	]	PUNCT
ejpam-6626	521	4	abdulkream	abdulkream	NOUN
ejpam-6626	521	5	alharbi	alharbi	NOUN
ejpam-6626	521	6	,	,	PUNCT
ejpam-6626	521	7	s.	s.	PROPN
ejpam-6626	521	8	,	,	PUNCT
ejpam-6626	521	9	abdoon	abdoon	PROPN
ejpam-6626	521	10	,	,	PUNCT
ejpam-6626	521	11	m.	m.	NOUN
ejpam-6626	521	12	a.	a.	PROPN
ejpam-6626	521	13	,	,	PUNCT
ejpam-6626	521	14	saadeh	saadeh	PROPN
ejpam-6626	521	15	,	,	PUNCT
ejpam-6626	521	16	r.	r.	PROPN
ejpam-6626	521	17	,	,	PUNCT
ejpam-6626	521	18	alsemiry	alsemiry	NOUN
ejpam-6626	521	19	,	,	PUNCT
ejpam-6626	521	20	r.	r.	PROPN
ejpam-6626	521	21	d.	d.	PROPN
ejpam-6626	521	22	,	,	PUNCT
ejpam-6626	521	23	allogmany	allogmany	PROPN
ejpam-6626	521	24	,	,	PUNCT
ejpam-6626	521	25	r.	r.	PROPN
ejpam-6626	521	26	,	,	PUNCT
ejpam-6626	521	27	berir	berir	NOUN
ejpam-6626	521	28	,	,	PUNCT
ejpam-6626	521	29	m.	m.	NOUN
ejpam-6626	521	30	,	,	PUNCT
ejpam-6626	521	31	&	&	CCONJ
ejpam-6626	521	32	el	el	PROPN
ejpam-6626	521	33	guma	guma	PROPN
ejpam-6626	521	34	,	,	PUNCT
ejpam-6626	521	35	f.	f.	PROPN
ejpam-6626	521	36	(	(	PUNCT
ejpam-6626	521	37	2024	2024	NUM
ejpam-6626	521	38	)	)	PUNCT
ejpam-6626	521	39	.	.	PUNCT
ejpam-6626	522	1	modeling	modeling	NOUN
ejpam-6626	522	2	and	and	CCONJ
ejpam-6626	522	3	analysis	analysis	NOUN
ejpam-6626	522	4	of	of	ADP
ejpam-6626	522	5	visceral	visceral	ADJ
ejpam-6626	522	6	leishmaniasis	leishmaniasis	NOUN
ejpam-6626	522	7	dynamics	dynamic	NOUN
ejpam-6626	522	8	using	use	VERB
ejpam-6626	522	9	fractional	fractional	ADJ
ejpam-6626	522	10	-	-	PUNCT
ejpam-6626	522	11	order	order	NOUN
ejpam-6626	522	12	operators	operator	NOUN
ejpam-6626	522	13	:	:	PUNCT
ejpam-6626	522	14	a	a	DET
ejpam-6626	522	15	comparative	comparative	ADJ
ejpam-6626	522	16	study	study	NOUN
ejpam-6626	522	17	.	.	PUNCT
ejpam-6626	523	1	mathematical	mathematical	ADJ
ejpam-6626	523	2	methods	method	NOUN
ejpam-6626	523	3	in	in	ADP
ejpam-6626	523	4	the	the	DET
ejpam-6626	523	5	applied	apply	VERB
ejpam-6626	523	6	sciences	science	NOUN
ejpam-6626	523	7	,	,	PUNCT
ejpam-6626	523	8	47(12	47(12	NUM
ejpam-6626	523	9	)	)	PUNCT
ejpam-6626	523	10	,	,	PUNCT
ejpam-6626	523	11	9918–9937	9918–9937	NUM
ejpam-6626	523	12	.	.	PUNCT
ejpam-6626	524	1	[	[	X
ejpam-6626	524	2	40	40	NUM
ejpam-6626	524	3	]	]	X
ejpam-6626	524	4	saadeh	saadeh	PROPN
ejpam-6626	524	5	,	,	PUNCT
ejpam-6626	524	6	r.	r.	PROPN
ejpam-6626	524	7	,	,	PUNCT
ejpam-6626	524	8	abdoon	abdoon	PROPN
ejpam-6626	524	9	,	,	PUNCT
ejpam-6626	524	10	m.	m.	NOUN
ejpam-6626	524	11	a.	a.	PROPN
ejpam-6626	524	12	,	,	PUNCT
ejpam-6626	524	13	qazza	qazza	PROPN
ejpam-6626	524	14	,	,	PUNCT
ejpam-6626	524	15	a.	a.	NOUN
ejpam-6626	524	16	,	,	PUNCT
ejpam-6626	524	17	berir	berir	NOUN
ejpam-6626	524	18	,	,	PUNCT
ejpam-6626	524	19	m.	m.	NOUN
ejpam-6626	524	20	,	,	PUNCT
ejpam-6626	524	21	el	el	PROPN
ejpam-6626	524	22	guma	guma	PROPN
ejpam-6626	524	23	,	,	PUNCT
ejpam-6626	524	24	f.	f.	PROPN
ejpam-6626	524	25	,	,	PUNCT
ejpam-6626	524	26	al	al	PROPN
ejpam-6626	524	27	-	-	PUNCT
ejpam-6626	524	28	kuleab	kuleab	PROPN
ejpam-6626	524	29	,	,	PUNCT
ejpam-6626	524	30	n.	n.	NOUN
ejpam-6626	524	31	,	,	PUNCT
ejpam-6626	524	32	&	&	CCONJ
ejpam-6626	524	33	degoot	degoot	PROPN
ejpam-6626	524	34	,	,	PUNCT
ejpam-6626	524	35	a.	a.	NOUN
ejpam-6626	524	36	m.	m.	NOUN
ejpam-6626	524	37	(	(	PUNCT
ejpam-6626	524	38	2024	2024	NUM
ejpam-6626	524	39	)	)	PUNCT
ejpam-6626	524	40	.	.	PUNCT
ejpam-6626	525	1	mathematical	mathematical	ADJ
ejpam-6626	525	2	modeling	modeling	NOUN
ejpam-6626	525	3	and	and	CCONJ
ejpam-6626	525	4	stability	stability	NOUN
ejpam-6626	525	5	analysis	analysis	NOUN
ejpam-6626	525	6	of	of	ADP
ejpam-6626	525	7	the	the	DET
ejpam-6626	525	8	novel	novel	ADJ
ejpam-6626	525	9	fractional	fractional	ADJ
ejpam-6626	525	10	model	model	NOUN
ejpam-6626	525	11	in	in	ADP
ejpam-6626	525	12	the	the	DET
ejpam-6626	525	13	caputo	caputo	PROPN
ejpam-6626	525	14	derivative	derivative	ADJ
ejpam-6626	525	15	operator	operator	NOUN
ejpam-6626	525	16	:	:	PUNCT
ejpam-6626	525	17	a	a	DET
ejpam-6626	525	18	case	case	NOUN
ejpam-6626	525	19	study	study	NOUN
ejpam-6626	525	20	.	.	PUNCT
ejpam-6626	526	1	heliyon	heliyon	NOUN
ejpam-6626	526	2	,	,	PUNCT
ejpam-6626	526	3	10(5	10(5	NUM
ejpam-6626	526	4	)	)	PUNCT
ejpam-6626	526	5	.	.	PUNCT
ejpam-6626	527	1	elsevier	elsevier	NOUN
ejpam-6626	527	2	.	.	PUNCT
ejpam-6626	528	1	[	[	X
ejpam-6626	528	2	41	41	NUM
ejpam-6626	528	3	]	]	PUNCT
ejpam-6626	528	4	gumaa	gumaa	NOUN
ejpam-6626	528	5	,	,	PUNCT
ejpam-6626	528	6	f.	f.	PROPN
ejpam-6626	528	7	e.	e.	PROPN
ejpam-6626	528	8	,	,	PUNCT
ejpam-6626	528	9	abdoon	abdoon	PROPN
ejpam-6626	528	10	,	,	PUNCT
ejpam-6626	528	11	m.	m.	NOUN
ejpam-6626	528	12	a.	a.	PROPN
ejpam-6626	528	13	,	,	PUNCT
ejpam-6626	528	14	qazza	qazza	PROPN
ejpam-6626	528	15	,	,	PUNCT
ejpam-6626	528	16	a.	a.	NOUN
ejpam-6626	528	17	,	,	PUNCT
ejpam-6626	528	18	saadeh	saadeh	PROPN
ejpam-6626	528	19	,	,	PUNCT
ejpam-6626	528	20	r.	r.	PROPN
ejpam-6626	528	21	,	,	PUNCT
ejpam-6626	528	22	arishi	arishi	NOUN
ejpam-6626	528	23	,	,	PUNCT
ejpam-6626	528	24	m.	m.	NOUN
ejpam-6626	528	25	a.	a.	PROPN
ejpam-6626	528	26	,	,	PUNCT
ejpam-6626	528	27	&	&	CCONJ
ejpam-6626	528	28	degoot	degoot	PROPN
ejpam-6626	528	29	,	,	PUNCT
ejpam-6626	528	30	a.	a.	NOUN
ejpam-6626	528	31	m.	m.	NOUN
ejpam-6626	528	32	(	(	PUNCT
ejpam-6626	528	33	2024	2024	NUM
ejpam-6626	528	34	)	)	PUNCT
ejpam-6626	528	35	.	.	PUNCT
ejpam-6626	529	1	analyzing	analyze	VERB
ejpam-6626	529	2	the	the	DET
ejpam-6626	529	3	impact	impact	NOUN
ejpam-6626	529	4	of	of	ADP
ejpam-6626	529	5	control	control	NOUN
ejpam-6626	529	6	strategies	strategy	NOUN
ejpam-6626	529	7	on	on	ADP
ejpam-6626	529	8	visceral	visceral	ADJ
ejpam-6626	529	9	leishmaniasis	leishmaniasis	NOUN
ejpam-6626	529	10	:	:	PUNCT
ejpam-6626	529	11	a	a	DET
ejpam-6626	529	12	mathematical	mathematical	ADJ
ejpam-6626	529	13	modeling	modeling	NOUN
ejpam-6626	529	14	perspective	perspective	NOUN
ejpam-6626	529	15	.	.	PUNCT
ejpam-6626	530	1	european	european	ADJ
ejpam-6626	530	2	journal	journal	PROPN
ejpam-6626	530	3	of	of	ADP
ejpam-6626	530	4	pure	pure	ADJ
ejpam-6626	530	5	and	and	CCONJ
ejpam-6626	530	6	applied	applied	ADJ
ejpam-6626	530	7	mathematics	mathematic	NOUN
ejpam-6626	530	8	,	,	PUNCT
ejpam-6626	530	9	17(2	17(2	NUM
ejpam-6626	530	10	)	)	PUNCT
ejpam-6626	530	11	,	,	PUNCT
ejpam-6626	530	12	1213–1227	1213–1227	NUM
ejpam-6626	530	13	.	.	PUNCT
ejpam-6626	531	1	[	[	X
ejpam-6626	531	2	42	42	NUM
ejpam-6626	531	3	]	]	SYM
ejpam-6626	531	4	ali	ali	PROPN
ejpam-6626	531	5	,	,	PUNCT
ejpam-6626	531	6	m.	m.	NOUN
ejpam-6626	531	7	,	,	PUNCT
ejpam-6626	531	8	guma	guma	PROPN
ejpam-6626	531	9	,	,	PUNCT
ejpam-6626	531	10	f.	f.	PROPN
ejpam-6626	531	11	e.	e.	PROPN
ejpam-6626	531	12	,	,	PUNCT
ejpam-6626	531	13	qazza	qazza	PROPN
ejpam-6626	531	14	,	,	PUNCT
ejpam-6626	531	15	a.	a.	NOUN
ejpam-6626	531	16	,	,	PUNCT
ejpam-6626	531	17	saadeh	saadeh	PROPN
ejpam-6626	531	18	,	,	PUNCT
ejpam-6626	531	19	r.	r.	PROPN
ejpam-6626	531	20	,	,	PUNCT
ejpam-6626	531	21	alsubaie	alsubaie	PROPN
ejpam-6626	531	22	,	,	PUNCT
ejpam-6626	531	23	n.	n.	PROPN
ejpam-6626	531	24	e.	e.	PROPN
ejpam-6626	531	25	,	,	PUNCT
ejpam-6626	531	26	althubyani	althubyani	PROPN
ejpam-6626	531	27	,	,	PUNCT
ejpam-6626	531	28	m.	m.	NOUN
ejpam-6626	531	29	,	,	PUNCT
ejpam-6626	531	30	&	&	CCONJ
ejpam-6626	531	31	abdoon	abdoon	PROPN
ejpam-6626	531	32	,	,	PUNCT
ejpam-6626	531	33	m.	m.	NOUN
ejpam-6626	531	34	a.	a.	NOUN
ejpam-6626	531	35	(	(	PUNCT
ejpam-6626	531	36	2024	2024	NUM
ejpam-6626	531	37	)	)	PUNCT
ejpam-6626	531	38	.	.	PUNCT
ejpam-6626	532	1	stochastic	stochastic	ADJ
ejpam-6626	532	2	modeling	modeling	NOUN
ejpam-6626	532	3	of	of	ADP
ejpam-6626	532	4	influenza	influenza	ADJ
ejpam-6626	532	5	transmission	transmission	NOUN
ejpam-6626	532	6	:	:	PUNCT
ejpam-6626	532	7	insights	insight	NOUN
ejpam-6626	532	8	into	into	ADP
ejpam-6626	532	9	disease	disease	NOUN
ejpam-6626	532	10	dynamics	dynamic	NOUN
ejpam-6626	532	11	and	and	CCONJ
ejpam-6626	532	12	epidemic	epidemic	NOUN
ejpam-6626	532	13	management	management	NOUN
ejpam-6626	532	14	.	.	PUNCT
ejpam-6626	533	1	partial	partial	ADJ
ejpam-6626	533	2	differential	differential	ADJ
ejpam-6626	533	3	equations	equation	NOUN
ejpam-6626	533	4	in	in	ADP
ejpam-6626	533	5	applied	applied	ADJ
ejpam-6626	533	6	mathematics	mathematic	NOUN
ejpam-6626	533	7	,	,	PUNCT
ejpam-6626	533	8	11	11	NUM
ejpam-6626	533	9	,	,	PUNCT
ejpam-6626	533	10	100886	100886	NUM
ejpam-6626	533	11	.	.	PUNCT
ejpam-6626	534	1	[	[	X
ejpam-6626	534	2	43	43	NUM
ejpam-6626	534	3	]	]	X
ejpam-6626	534	4	abdoon	abdoon	NOUN
ejpam-6626	534	5	,	,	PUNCT
ejpam-6626	534	6	m.	m.	NOUN
ejpam-6626	534	7	a.	a.	PROPN
ejpam-6626	534	8	,	,	PUNCT
ejpam-6626	534	9	elgezouli	elgezouli	PROPN
ejpam-6626	534	10	,	,	PUNCT
ejpam-6626	534	11	d.	d.	PROPN
ejpam-6626	534	12	e.	e.	PROPN
ejpam-6626	534	13	,	,	PUNCT
ejpam-6626	534	14	halouani	halouani	PROPN
ejpam-6626	534	15	,	,	PUNCT
ejpam-6626	534	16	b.	b.	PROPN
ejpam-6626	534	17	,	,	PUNCT
ejpam-6626	534	18	abdelaty	abdelaty	PROPN
ejpam-6626	534	19	,	,	PUNCT
ejpam-6626	534	20	a.	a.	NOUN
ejpam-6626	534	21	m.	m.	NOUN
ejpam-6626	534	22	,	,	PUNCT
ejpam-6626	534	23	elshazly	elshazly	NOUN
ejpam-6626	534	24	,	,	PUNCT
ejpam-6626	534	25	i.	i.	PROPN
ejpam-6626	534	26	s.	s.	PROPN
ejpam-6626	534	27	,	,	PUNCT
ejpam-6626	534	28	ailawalia	ailawalia	PROPN
ejpam-6626	534	29	,	,	PUNCT
ejpam-6626	534	30	p.	p.	NOUN
ejpam-6626	534	31	,	,	PUNCT
ejpam-6626	534	32	&	&	CCONJ
ejpam-6626	534	33	el	el	PROPN
ejpam-6626	534	34	-	-	PROPN
ejpam-6626	534	35	qadeem	qadeem	PROPN
ejpam-6626	534	36	,	,	PUNCT
ejpam-6626	534	37	a.	a.	PROPN
ejpam-6626	534	38	h.	h.	PROPN
ejpam-6626	534	39	(	(	PUNCT
ejpam-6626	534	40	2024	2024	NUM
ejpam-6626	534	41	)	)	PUNCT
ejpam-6626	534	42	.	.	PUNCT
ejpam-6626	535	1	novel	novel	ADJ
ejpam-6626	535	2	dynamic	dynamic	ADJ
ejpam-6626	535	3	behaviors	behavior	NOUN
ejpam-6626	535	4	in	in	ADP
ejpam-6626	535	5	fractional	fractional	ADJ
ejpam-6626	535	6	chaotic	chaotic	ADJ
ejpam-6626	535	7	systems	system	NOUN
ejpam-6626	535	8	:	:	PUNCT
ejpam-6626	535	9	numerical	numerical	ADJ
ejpam-6626	535	10	simulations	simulation	NOUN
ejpam-6626	535	11	with	with	ADP
ejpam-6626	535	12	caputo	caputo	PROPN
ejpam-6626	535	13	derivatives	derivative	NOUN
ejpam-6626	535	14	.	.	PUNCT
ejpam-6626	536	1	axioms	axiom	NOUN
ejpam-6626	536	2	,	,	PUNCT
ejpam-6626	536	3	13(11	13(11	NUM
ejpam-6626	536	4	)	)	PUNCT
ejpam-6626	536	5	,	,	PUNCT
ejpam-6626	536	6	791	791	NUM
ejpam-6626	536	7	.	.	PUNCT
ejpam-6626	537	1	[	[	X
ejpam-6626	537	2	44	44	NUM
ejpam-6626	537	3	]	]	PUNCT
ejpam-6626	537	4	alharbi	alharbi	NOUN
ejpam-6626	537	5	,	,	PUNCT
ejpam-6626	537	6	s.	s.	PROPN
ejpam-6626	537	7	a.	a.	PROPN
ejpam-6626	537	8	,	,	PUNCT
ejpam-6626	537	9	abdoon	abdoon	PROPN
ejpam-6626	537	10	,	,	PUNCT
ejpam-6626	537	11	m.	m.	NOUN
ejpam-6626	537	12	a.	a.	PROPN
ejpam-6626	537	13	,	,	PUNCT
ejpam-6626	537	14	degoot	degoot	PROPN
ejpam-6626	537	15	,	,	PUNCT
ejpam-6626	537	16	a.	a.	NOUN
ejpam-6626	537	17	m.	m.	NOUN
ejpam-6626	537	18	,	,	PUNCT
ejpam-6626	537	19	alsemiry	alsemiry	PROPN
ejpam-6626	537	20	,	,	PUNCT
ejpam-6626	537	21	r.	r.	PROPN
ejpam-6626	537	22	d.	d.	PROPN
ejpam-6626	537	23	,	,	PUNCT
ejpam-6626	537	24	allogmany	allogmany	PROPN
ejpam-6626	537	25	,	,	PUNCT
ejpam-6626	537	26	r.	r.	PROPN
ejpam-6626	537	27	,	,	PUNCT
ejpam-6626	537	28	guma	guma	PROPN
ejpam-6626	537	29	,	,	PUNCT
ejpam-6626	537	30	f.	f.	PROPN
ejpam-6626	537	31	e.	e.	PROPN
ejpam-6626	537	32	,	,	PUNCT
ejpam-6626	537	33	&	&	CCONJ
ejpam-6626	537	34	berir	berir	PROPN
ejpam-6626	537	35	,	,	PUNCT
ejpam-6626	537	36	m.	m.	NOUN
ejpam-6626	537	37	(	(	PUNCT
ejpam-6626	537	38	2025	2025	NUM
ejpam-6626	537	39	)	)	PUNCT
ejpam-6626	537	40	.	.	PUNCT
ejpam-6626	538	1	mathematical	mathematical	ADJ
ejpam-6626	538	2	modeling	modeling	NOUN
ejpam-6626	538	3	of	of	ADP
ejpam-6626	538	4	influenza	influenza	NOUN
ejpam-6626	538	5	dynamics	dynamic	NOUN
ejpam-6626	538	6	:	:	PUNCT
ejpam-6626	538	7	a	a	DET
ejpam-6626	538	8	novel	novel	ADJ
ejpam-6626	538	9	approach	approach	NOUN
ejpam-6626	538	10	with	with	ADP
ejpam-6626	538	11	sveihr	sveihr	NOUN
ejpam-6626	538	12	and	and	CCONJ
ejpam-6626	538	13	fractional	fractional	ADJ
ejpam-6626	538	14	calculus	calculus	NOUN
ejpam-6626	538	15	.	.	PUNCT
ejpam-6626	539	1	international	international	ADJ
ejpam-6626	539	2	journal	journal	PROPN
ejpam-6626	539	3	of	of	ADP
ejpam-6626	539	4	biomathematics	biomathematic	NOUN
ejpam-6626	539	5	,	,	PUNCT
ejpam-6626	539	6	2450147	2450147	NUM
ejpam-6626	539	7	.	.	PUNCT
ejpam-6626	540	1	[	[	X
ejpam-6626	540	2	45	45	NUM
ejpam-6626	540	3	]	]	SYM
ejpam-6626	540	4	guma	guma	PROPN
ejpam-6626	540	5	,	,	PUNCT
ejpam-6626	540	6	f.	f.	PROPN
ejpam-6626	540	7	e.	e.	PROPN
ejpam-6626	540	8	(	(	PUNCT
ejpam-6626	540	9	2025	2025	NUM
ejpam-6626	540	10	)	)	PUNCT
ejpam-6626	540	11	.	.	PUNCT
ejpam-6626	541	1	analysis	analysis	NOUN
ejpam-6626	541	2	of	of	ADP
ejpam-6626	541	3	influenza	influenza	NOUN
ejpam-6626	541	4	-	-	PUNCT
ejpam-6626	541	5	like	like	ADJ
ejpam-6626	541	6	illness	illness	NOUN
ejpam-6626	541	7	trends	trend	NOUN
ejpam-6626	541	8	in	in	ADP
ejpam-6626	541	9	saudi	saudi	PROPN
ejpam-6626	541	10	arabia	arabia	PROPN
ejpam-6626	541	11	:	:	PUNCT
ejpam-6626	541	12	a	a	DET
ejpam-6626	541	13	comparative	comparative	ADJ
ejpam-6626	541	14	study	study	NOUN
ejpam-6626	541	15	of	of	ADP
ejpam-6626	541	16	statistical	statistical	ADJ
ejpam-6626	541	17	and	and	CCONJ
ejpam-6626	541	18	deep	deep	ADJ
ejpam-6626	541	19	learning	learning	NOUN
ejpam-6626	541	20	techniques	technique	NOUN
ejpam-6626	541	21	.	.	PUNCT
ejpam-6626	542	1	osong	osong	PROPN
ejpam-6626	542	2	public	public	ADJ
ejpam-6626	542	3	health	health	NOUN
ejpam-6626	542	4	and	and	CCONJ
ejpam-6626	542	5	research	research	NOUN
ejpam-6626	542	6	perspectives	perspective	NOUN
ejpam-6626	542	7	,	,	PUNCT
ejpam-6626	542	8	16(3	16(3	NOUN
ejpam-6626	542	9	)	)	PUNCT
ejpam-6626	542	10	,	,	PUNCT
ejpam-6626	542	11	270–284	270–284	NUM
ejpam-6626	542	12	.	.	PUNCT
ejpam-6626	543	1	[	[	X
ejpam-6626	543	2	46	46	NUM
ejpam-6626	543	3	]	]	PUNCT
ejpam-6626	543	4	alzahrani	alzahrani	PROPN
ejpam-6626	543	5	,	,	PUNCT
ejpam-6626	543	6	s.	s.	PROPN
ejpam-6626	543	7	m.	m.	PROPN
ejpam-6626	543	8	,	,	PUNCT
ejpam-6626	543	9	&	&	CCONJ
ejpam-6626	543	10	guma	guma	PROPN
ejpam-6626	543	11	,	,	PUNCT
ejpam-6626	543	12	f.	f.	PROPN
ejpam-6626	543	13	e.	e.	PROPN
ejpam-6626	543	14	(	(	PUNCT
ejpam-6626	543	15	2024	2024	NUM
ejpam-6626	543	16	)	)	PUNCT
ejpam-6626	543	17	.	.	PUNCT
ejpam-6626	544	1	improving	improve	VERB
ejpam-6626	544	2	seasonal	seasonal	ADJ
ejpam-6626	544	3	influenza	influenza	NOUN
ejpam-6626	544	4	forecasting	forecasting	NOUN
ejpam-6626	544	5	using	use	VERB
ejpam-6626	544	6	time	time	NOUN
ejpam-6626	544	7	series	series	PROPN
ejpam-6626	544	8	machine	machine	NOUN
ejpam-6626	544	9	learning	learn	VERB
ejpam-6626	544	10	techniques	technique	NOUN
ejpam-6626	544	11	.	.	PUNCT
ejpam-6626	545	1	journal	journal	PROPN
ejpam-6626	545	2	of	of	ADP
ejpam-6626	545	3	information	information	NOUN
ejpam-6626	545	4	systems	system	NOUN
ejpam-6626	545	5	engineering	engineering	NOUN
ejpam-6626	545	6	and	and	CCONJ
ejpam-6626	545	7	management	management	NOUN
ejpam-6626	545	8	,	,	PUNCT
ejpam-6626	545	9	9(4	9(4	NUM
ejpam-6626	545	10	)	)	PUNCT
ejpam-6626	545	11	,	,	PUNCT
ejpam-6626	545	12	30195	30195	NUM
ejpam-6626	545	13	.	.	PUNCT
ejpam-6626	546	1	[	[	X
ejpam-6626	546	2	47	47	NUM
ejpam-6626	546	3	]	]	SYM
ejpam-6626	546	4	guma	guma	PROPN
ejpam-6626	546	5	,	,	PUNCT
ejpam-6626	546	6	f.	f.	PROPN
ejpam-6626	546	7	e.	e.	PROPN
ejpam-6626	546	8	(	(	PUNCT
ejpam-6626	546	9	2024	2024	NUM
ejpam-6626	546	10	)	)	PUNCT
ejpam-6626	546	11	.	.	PUNCT
ejpam-6626	547	1	comparative	comparative	ADJ
ejpam-6626	547	2	analysis	analysis	NOUN
ejpam-6626	547	3	of	of	ADP
ejpam-6626	547	4	time	time	NOUN
ejpam-6626	547	5	series	series	PROPN
ejpam-6626	547	6	prediction	prediction	NOUN
ejpam-6626	547	7	models	model	NOUN
ejpam-6626	547	8	for	for	ADP
ejpam-6626	547	9	visceral	visceral	ADJ
ejpam-6626	547	10	leishmaniasis	leishmaniasis	NOUN
ejpam-6626	547	11	:	:	PUNCT
ejpam-6626	547	12	based	base	VERB
ejpam-6626	547	13	on	on	ADP
ejpam-6626	547	14	sarima	sarima	NOUN
ejpam-6626	547	15	and	and	CCONJ
ejpam-6626	547	16	lstm	lstm	PROPN
ejpam-6626	547	17	.	.	PUNCT
ejpam-6626	548	1	applied	apply	VERB
ejpam-6626	548	2	mathematics	mathematic	NOUN
ejpam-6626	548	3	,	,	PUNCT
ejpam-6626	548	4	18(1	18(1	NUM
ejpam-6626	548	5	)	)	PUNCT
ejpam-6626	548	6	,	,	PUNCT
ejpam-6626	548	7	125–132	125–132	NUM
ejpam-6626	548	8	.	.	PUNCT
ejpam-6626	549	1	[	[	X
ejpam-6626	549	2	48	48	NUM
ejpam-6626	549	3	]	]	X
ejpam-6626	549	4	elgezouli	elgezouli	PROPN
ejpam-6626	549	5	,	,	PUNCT
ejpam-6626	549	6	d.	d.	PROPN
ejpam-6626	549	7	e.	e.	PROPN
ejpam-6626	549	8	,	,	PUNCT
ejpam-6626	549	9	eltayeb	eltayeb	PROPN
ejpam-6626	549	10	,	,	PUNCT
ejpam-6626	549	11	h.	h.	PROPN
ejpam-6626	549	12	,	,	PUNCT
ejpam-6626	549	13	&	&	CCONJ
ejpam-6626	549	14	abdoon	abdoon	PROPN
ejpam-6626	549	15	,	,	PUNCT
ejpam-6626	549	16	m.	m.	NOUN
ejpam-6626	549	17	a.	a.	NOUN
ejpam-6626	549	18	(	(	PUNCT
ejpam-6626	549	19	2024	2024	NUM
ejpam-6626	549	20	)	)	PUNCT
ejpam-6626	549	21	.	.	PUNCT
ejpam-6626	550	1	novel	novel	ADJ
ejpam-6626	550	2	gpid	gpid	NOUN
ejpam-6626	550	3	:	:	PUNCT
ejpam-6626	550	4	grünwald	grünwald	ADJ
ejpam-6626	550	5	–	–	PUNCT
ejpam-6626	550	6	letnikov	letnikov	ADJ
ejpam-6626	550	7	fractional	fractional	ADJ
ejpam-6626	550	8	pid	pid	NOUN
ejpam-6626	550	9	for	for	ADP
ejpam-6626	550	10	enhanced	enhance	VERB
ejpam-6626	550	11	adaptive	adaptive	ADJ
ejpam-6626	550	12	cruise	cruise	NOUN
ejpam-6626	550	13	control	control	NOUN
ejpam-6626	550	14	.	.	PUNCT
ejpam-6626	551	1	fractal	fractal	PROPN
ejpam-6626	551	2	and	and	CCONJ
ejpam-6626	551	3	fractional	fractional	ADJ
ejpam-6626	551	4	,	,	PUNCT
ejpam-6626	551	5	8(12	8(12	NUM
ejpam-6626	551	6	)	)	PUNCT
ejpam-6626	551	7	,	,	PUNCT
ejpam-6626	551	8	751	751	NUM
ejpam-6626	551	9	.	.	PUNCT