id	sid	tid	token	lemma	pos
ejpam-6099	1	1	european	european	PROPN
ejpam-6099	1	2	journal	journal	PROPN
ejpam-6099	1	3	of	of	ADP
ejpam-6099	1	4	pure	pure	ADJ
ejpam-6099	1	5	and	and	CCONJ
ejpam-6099	1	6	applied	applied	ADJ
ejpam-6099	1	7	mathematics	mathematic	NOUN
ejpam-6099	1	8	2025	2025	NUM
ejpam-6099	1	9	,	,	PUNCT
ejpam-6099	1	10	vol	vol	NOUN
ejpam-6099	1	11	.	.	PROPN
ejpam-6099	1	12	18	18	NUM
ejpam-6099	1	13	,	,	PUNCT
ejpam-6099	1	14	issue	issue	NOUN
ejpam-6099	1	15	2	2	NUM
ejpam-6099	1	16	,	,	PUNCT
ejpam-6099	1	17	article	article	NOUN
ejpam-6099	1	18	number	number	NOUN
ejpam-6099	1	19	6099	6099	NUM
ejpam-6099	1	20	issn	issn	PROPN
ejpam-6099	1	21	1307	1307	NUM
ejpam-6099	1	22	-	-	SYM
ejpam-6099	1	23	5543	5543	NUM
ejpam-6099	1	24	–	–	PUNCT
ejpam-6099	1	25	ejpam.com	ejpam.com	X
ejpam-6099	1	26	published	publish	VERB
ejpam-6099	1	27	by	by	ADP
ejpam-6099	1	28	new	new	PROPN
ejpam-6099	1	29	york	york	PROPN
ejpam-6099	1	30	business	business	PROPN
ejpam-6099	1	31	global	global	ADJ
ejpam-6099	1	32	solving	solve	VERB
ejpam-6099	1	33	partial	partial	ADJ
ejpam-6099	1	34	differential	differential	ADJ
ejpam-6099	1	35	equations	equation	NOUN
ejpam-6099	1	36	via	via	ADP
ejpam-6099	1	37	the	the	DET
ejpam-6099	1	38	conformable	conformable	ADJ
ejpam-6099	1	39	double	double	ADJ
ejpam-6099	1	40	ara	ara	NOUN
ejpam-6099	1	41	-	-	PUNCT
ejpam-6099	1	42	sawi	sawi	NOUN
ejpam-6099	1	43	transform	transform	NOUN
ejpam-6099	1	44	monther	monther	PROPN
ejpam-6099	1	45	al	al	PROPN
ejpam-6099	1	46	-	-	PUNCT
ejpam-6099	1	47	momani1,∗	momani1,∗	NOUN
ejpam-6099	1	48	,	,	PUNCT
ejpam-6099	1	49	ali	ali	PROPN
ejpam-6099	1	50	jaradat2	jaradat2	PROPN
ejpam-6099	1	51	,	,	PUNCT
ejpam-6099	1	52	baha	baha	PROPN
ejpam-6099	1	53	’	'	PUNCT
ejpam-6099	1	54	abughazaleh3	abughazaleh3	NOUN
ejpam-6099	1	55	,	,	PUNCT
ejpam-6099	1	56	abdulkarim	abdulkarim	NOUN
ejpam-6099	1	57	farah3	farah3	PROPN
ejpam-6099	1	58	1	1	NUM
ejpam-6099	1	59	department	department	NOUN
ejpam-6099	1	60	of	of	ADP
ejpam-6099	1	61	basic	basic	ADJ
ejpam-6099	1	62	sciences	sciences	PROPN
ejpam-6099	1	63	,	,	PUNCT
ejpam-6099	1	64	al	al	PROPN
ejpam-6099	1	65	-	-	PUNCT
ejpam-6099	1	66	ahliyya	ahliyya	PROPN
ejpam-6099	1	67	amman	amman	PROPN
ejpam-6099	1	68	university	university	PROPN
ejpam-6099	1	69	,	,	PUNCT
ejpam-6099	1	70	amman	amman	PROPN
ejpam-6099	1	71	,	,	PUNCT
ejpam-6099	1	72	jordan	jordan	PROPN
ejpam-6099	1	73	2	2	NUM
ejpam-6099	1	74	department	department	NOUN
ejpam-6099	1	75	of	of	ADP
ejpam-6099	1	76	mathematics	mathematic	NOUN
ejpam-6099	1	77	,	,	PUNCT
ejpam-6099	1	78	amman	amman	PROPN
ejpam-6099	1	79	arab	arab	PROPN
ejpam-6099	1	80	university	university	PROPN
ejpam-6099	1	81	,	,	PUNCT
ejpam-6099	1	82	amman	amman	PROPN
ejpam-6099	1	83	,	,	PUNCT
ejpam-6099	1	84	jordan	jordan	PROPN
ejpam-6099	1	85	3	3	NUM
ejpam-6099	1	86	department	department	PROPN
ejpam-6099	1	87	of	of	ADP
ejpam-6099	1	88	mathematics	mathematics	PROPN
ejpam-6099	1	89	,	,	PUNCT
ejpam-6099	1	90	isra	isra	PROPN
ejpam-6099	1	91	university	university	PROPN
ejpam-6099	1	92	,	,	PUNCT
ejpam-6099	1	93	amman	amman	PROPN
ejpam-6099	1	94	,	,	PUNCT
ejpam-6099	1	95	jordan	jordan	PROPN
ejpam-6099	1	96	abstract	abstract	PROPN
ejpam-6099	1	97	.	.	PUNCT
ejpam-6099	2	1	this	this	DET
ejpam-6099	2	2	paper	paper	NOUN
ejpam-6099	2	3	presents	present	VERB
ejpam-6099	2	4	a	a	DET
ejpam-6099	2	5	new	new	ADJ
ejpam-6099	2	6	method	method	NOUN
ejpam-6099	2	7	the	the	DET
ejpam-6099	2	8	conformable	conformable	ADJ
ejpam-6099	2	9	double	double	ADJ
ejpam-6099	2	10	ara	ara	NOUN
ejpam-6099	2	11	-	-	PUNCT
ejpam-6099	2	12	sawi	sawi	NOUN
ejpam-6099	2	13	transform	transform	NOUN
ejpam-6099	2	14	to	to	PART
ejpam-6099	2	15	solve	solve	VERB
ejpam-6099	2	16	fractional	fractional	ADJ
ejpam-6099	2	17	partial	partial	ADJ
ejpam-6099	2	18	differential	differential	ADJ
ejpam-6099	2	19	equations	equation	NOUN
ejpam-6099	2	20	that	that	PRON
ejpam-6099	2	21	arise	arise	VERB
ejpam-6099	2	22	in	in	ADP
ejpam-6099	2	23	physics	physics	NOUN
ejpam-6099	2	24	and	and	CCONJ
ejpam-6099	2	25	engineering	engineering	NOUN
ejpam-6099	2	26	.	.	PUNCT
ejpam-6099	3	1	these	these	DET
ejpam-6099	3	2	equations	equation	NOUN
ejpam-6099	3	3	often	often	ADV
ejpam-6099	3	4	involve	involve	VERB
ejpam-6099	3	5	derivatives	derivative	NOUN
ejpam-6099	3	6	based	base	VERB
ejpam-6099	3	7	on	on	ADP
ejpam-6099	3	8	conformable	conformable	ADJ
ejpam-6099	3	9	calculus	calculus	NOUN
ejpam-6099	3	10	,	,	PUNCT
ejpam-6099	3	11	which	which	PRON
ejpam-6099	3	12	generalizes	generalize	VERB
ejpam-6099	3	13	classical	classical	ADJ
ejpam-6099	3	14	derivatives	derivative	NOUN
ejpam-6099	3	15	to	to	ADP
ejpam-6099	3	16	fractional	fractional	ADJ
ejpam-6099	3	17	orders	order	NOUN
ejpam-6099	3	18	.	.	PUNCT
ejpam-6099	4	1	we	we	PRON
ejpam-6099	4	2	explore	explore	VERB
ejpam-6099	4	3	the	the	DET
ejpam-6099	4	4	core	core	NOUN
ejpam-6099	4	5	properties	property	NOUN
ejpam-6099	4	6	of	of	ADP
ejpam-6099	4	7	the	the	DET
ejpam-6099	4	8	transform	transform	NOUN
ejpam-6099	4	9	,	,	PUNCT
ejpam-6099	4	10	such	such	ADJ
ejpam-6099	4	11	as	as	ADP
ejpam-6099	4	12	its	its	PRON
ejpam-6099	4	13	linearity	linearity	NOUN
ejpam-6099	4	14	and	and	CCONJ
ejpam-6099	4	15	interaction	interaction	NOUN
ejpam-6099	4	16	with	with	ADP
ejpam-6099	4	17	fractional	fractional	ADJ
ejpam-6099	4	18	derivatives	derivative	NOUN
ejpam-6099	4	19	,	,	PUNCT
ejpam-6099	4	20	and	and	CCONJ
ejpam-6099	4	21	establish	establish	VERB
ejpam-6099	4	22	conditions	condition	NOUN
ejpam-6099	4	23	for	for	ADP
ejpam-6099	4	24	its	its	PRON
ejpam-6099	4	25	applicability	applicability	NOUN
ejpam-6099	4	26	.	.	PUNCT
ejpam-6099	5	1	to	to	PART
ejpam-6099	5	2	demonstrate	demonstrate	VERB
ejpam-6099	5	3	its	its	PRON
ejpam-6099	5	4	practical	practical	ADJ
ejpam-6099	5	5	use	use	NOUN
ejpam-6099	5	6	,	,	PUNCT
ejpam-6099	5	7	we	we	PRON
ejpam-6099	5	8	apply	apply	VERB
ejpam-6099	5	9	the	the	DET
ejpam-6099	5	10	method	method	NOUN
ejpam-6099	5	11	to	to	PART
ejpam-6099	5	12	solve	solve	VERB
ejpam-6099	5	13	two	two	NUM
ejpam-6099	5	14	key	key	ADJ
ejpam-6099	5	15	equations	equation	NOUN
ejpam-6099	5	16	:	:	PUNCT
ejpam-6099	5	17	the	the	DET
ejpam-6099	5	18	conformable	conformable	ADJ
ejpam-6099	5	19	klein	klein	PROPN
ejpam-6099	5	20	-	-	PUNCT
ejpam-6099	5	21	gordon	gordon	PROPN
ejpam-6099	5	22	equation	equation	NOUN
ejpam-6099	5	23	,	,	PUNCT
ejpam-6099	5	24	which	which	PRON
ejpam-6099	5	25	models	model	VERB
ejpam-6099	5	26	wave	wave	VERB
ejpam-6099	5	27	propagation	propagation	NOUN
ejpam-6099	5	28	in	in	ADP
ejpam-6099	5	29	quantum	quantum	ADJ
ejpam-6099	5	30	fields	field	NOUN
ejpam-6099	5	31	,	,	PUNCT
ejpam-6099	5	32	and	and	CCONJ
ejpam-6099	5	33	the	the	DET
ejpam-6099	5	34	conformable	conformable	ADJ
ejpam-6099	5	35	telegraph	telegraph	NOUN
ejpam-6099	5	36	equation	equation	NOUN
ejpam-6099	5	37	,	,	PUNCT
ejpam-6099	5	38	governing	govern	VERB
ejpam-6099	5	39	signal	signal	NOUN
ejpam-6099	5	40	transmission	transmission	NOUN
ejpam-6099	5	41	in	in	ADP
ejpam-6099	5	42	dissipative	dissipative	ADJ
ejpam-6099	5	43	systems	system	NOUN
ejpam-6099	5	44	.	.	PUNCT
ejpam-6099	6	1	the	the	DET
ejpam-6099	6	2	results	result	NOUN
ejpam-6099	6	3	highlight	highlight	VERB
ejpam-6099	6	4	the	the	DET
ejpam-6099	6	5	transform	transform	NOUN
ejpam-6099	6	6	’s	’s	PART
ejpam-6099	6	7	ability	ability	NOUN
ejpam-6099	6	8	to	to	PART
ejpam-6099	6	9	simplify	simplify	VERB
ejpam-6099	6	10	complex	complex	ADJ
ejpam-6099	6	11	fractional	fractional	ADJ
ejpam-6099	6	12	equations	equation	NOUN
ejpam-6099	6	13	into	into	ADP
ejpam-6099	6	14	manageable	manageable	ADJ
ejpam-6099	6	15	algebraic	algebraic	ADJ
ejpam-6099	6	16	forms	form	NOUN
ejpam-6099	6	17	,	,	PUNCT
ejpam-6099	6	18	offering	offer	VERB
ejpam-6099	6	19	a	a	DET
ejpam-6099	6	20	systematic	systematic	ADJ
ejpam-6099	6	21	tool	tool	NOUN
ejpam-6099	6	22	for	for	ADP
ejpam-6099	6	23	researchers	researcher	NOUN
ejpam-6099	6	24	.	.	PUNCT
ejpam-6099	7	1	this	this	DET
ejpam-6099	7	2	work	work	NOUN
ejpam-6099	7	3	bridges	bridge	VERB
ejpam-6099	7	4	theoretical	theoretical	ADJ
ejpam-6099	7	5	advancements	advancement	NOUN
ejpam-6099	7	6	with	with	ADP
ejpam-6099	7	7	real	real	ADJ
ejpam-6099	7	8	-	-	PUNCT
ejpam-6099	7	9	world	world	NOUN
ejpam-6099	7	10	applications	application	NOUN
ejpam-6099	7	11	,	,	PUNCT
ejpam-6099	7	12	paving	pave	VERB
ejpam-6099	7	13	the	the	DET
ejpam-6099	7	14	way	way	NOUN
ejpam-6099	7	15	for	for	ADP
ejpam-6099	7	16	future	future	ADJ
ejpam-6099	7	17	studies	study	NOUN
ejpam-6099	7	18	in	in	ADP
ejpam-6099	7	19	areas	area	NOUN
ejpam-6099	7	20	like	like	ADP
ejpam-6099	7	21	nonlinear	nonlinear	ADJ
ejpam-6099	7	22	dynamics	dynamic	NOUN
ejpam-6099	7	23	and	and	CCONJ
ejpam-6099	7	24	material	material	NOUN
ejpam-6099	7	25	science	science	NOUN
ejpam-6099	7	26	.	.	PUNCT
ejpam-6099	8	1	2020	2020	NUM
ejpam-6099	8	2	mathematics	mathematics	PROPN
ejpam-6099	8	3	subject	subject	NOUN
ejpam-6099	8	4	classifications	classification	NOUN
ejpam-6099	8	5	:	:	PUNCT
ejpam-6099	8	6	44a05	44a05	NUM
ejpam-6099	8	7	key	key	ADJ
ejpam-6099	8	8	words	word	NOUN
ejpam-6099	8	9	and	and	CCONJ
ejpam-6099	8	10	phrases	phrase	NOUN
ejpam-6099	8	11	:	:	PUNCT
ejpam-6099	8	12	ara	ara	NOUN
ejpam-6099	8	13	transform	transform	PROPN
ejpam-6099	8	14	,	,	PUNCT
ejpam-6099	8	15	sawi	sawi	ADJ
ejpam-6099	8	16	transform	transform	NOUN
ejpam-6099	8	17	,	,	PUNCT
ejpam-6099	8	18	the	the	DET
ejpam-6099	8	19	double	double	ADJ
ejpam-6099	8	20	ara	ara	NOUN
ejpam-6099	8	21	-	-	PUNCT
ejpam-6099	8	22	sawi	sawi	NOUN
ejpam-6099	8	23	transform	transform	NOUN
ejpam-6099	8	24	,	,	PUNCT
ejpam-6099	8	25	the	the	DET
ejpam-6099	8	26	conformable	conformable	ADJ
ejpam-6099	8	27	double	double	ADJ
ejpam-6099	8	28	ara	ara	NOUN
ejpam-6099	8	29	-	-	PUNCT
ejpam-6099	8	30	sawi	sawi	NOUN
ejpam-6099	8	31	transform	transform	NOUN
ejpam-6099	8	32	.	.	PUNCT
ejpam-6099	9	1	1	1	X
ejpam-6099	9	2	.	.	X
ejpam-6099	9	3	introduction	introduction	NOUN
ejpam-6099	9	4	fractional	fractional	ADJ
ejpam-6099	9	5	partial	partial	ADJ
ejpam-6099	9	6	differential	differential	NOUN
ejpam-6099	9	7	equations	equation	NOUN
ejpam-6099	9	8	play	play	VERB
ejpam-6099	9	9	a	a	DET
ejpam-6099	9	10	crucial	crucial	ADJ
ejpam-6099	9	11	role	role	NOUN
ejpam-6099	9	12	in	in	ADP
ejpam-6099	9	13	modeling	model	VERB
ejpam-6099	9	14	complex	complex	ADJ
ejpam-6099	9	15	systems	system	NOUN
ejpam-6099	9	16	in	in	ADP
ejpam-6099	9	17	physics	physics	NOUN
ejpam-6099	9	18	,	,	PUNCT
ejpam-6099	9	19	electrical	electrical	ADJ
ejpam-6099	9	20	circuits	circuit	NOUN
ejpam-6099	9	21	,	,	PUNCT
ejpam-6099	9	22	fluid	fluid	ADJ
ejpam-6099	9	23	dynamics	dynamic	NOUN
ejpam-6099	9	24	,	,	PUNCT
ejpam-6099	9	25	optics	optic	NOUN
ejpam-6099	9	26	,	,	PUNCT
ejpam-6099	9	27	and	and	CCONJ
ejpam-6099	9	28	mathematical	mathematical	ADJ
ejpam-6099	9	29	biology	biology	NOUN
ejpam-6099	9	30	.	.	PUNCT
ejpam-6099	10	1	one	one	NUM
ejpam-6099	10	2	important	important	ADJ
ejpam-6099	10	3	development	development	NOUN
ejpam-6099	10	4	in	in	ADP
ejpam-6099	10	5	this	this	DET
ejpam-6099	10	6	field	field	NOUN
ejpam-6099	10	7	is	be	AUX
ejpam-6099	10	8	the	the	DET
ejpam-6099	10	9	conformable	conformable	ADJ
ejpam-6099	10	10	fractional	fractional	ADJ
ejpam-6099	10	11	derivative	derivative	NOUN
ejpam-6099	10	12	,	,	PUNCT
ejpam-6099	10	13	introduced	introduce	VERB
ejpam-6099	10	14	in	in	ADP
ejpam-6099	10	15	[	[	X
ejpam-6099	10	16	1	1	NUM
ejpam-6099	10	17	]	]	PUNCT
ejpam-6099	10	18	,	,	PUNCT
ejpam-6099	10	19	which	which	PRON
ejpam-6099	10	20	retains	retain	VERB
ejpam-6099	10	21	many	many	ADJ
ejpam-6099	10	22	key	key	ADJ
ejpam-6099	10	23	properties	property	NOUN
ejpam-6099	10	24	of	of	ADP
ejpam-6099	10	25	standard	standard	ADJ
ejpam-6099	10	26	derivatives	derivative	NOUN
ejpam-6099	10	27	.	.	PUNCT
ejpam-6099	11	1	to	to	PART
ejpam-6099	11	2	solve	solve	VERB
ejpam-6099	11	3	conformable	conformable	ADJ
ejpam-6099	11	4	fractional	fractional	ADJ
ejpam-6099	11	5	partial	partial	ADJ
ejpam-6099	11	6	differential	differential	NOUN
ejpam-6099	11	7	equations	equation	NOUN
ejpam-6099	11	8	,	,	PUNCT
ejpam-6099	11	9	researchers	researcher	NOUN
ejpam-6099	11	10	have	have	AUX
ejpam-6099	11	11	explored	explore	VERB
ejpam-6099	11	12	several	several	ADJ
ejpam-6099	11	13	techniques	technique	NOUN
ejpam-6099	11	14	.	.	PUNCT
ejpam-6099	12	1	among	among	ADP
ejpam-6099	12	2	these	these	PRON
ejpam-6099	12	3	are	be	AUX
ejpam-6099	12	4	the	the	DET
ejpam-6099	12	5	conformable	conformable	ADJ
ejpam-6099	12	6	double	double	ADJ
ejpam-6099	12	7	laplace	laplace	NOUN
ejpam-6099	12	8	transform	transform	NOUN
ejpam-6099	12	9	[	[	X
ejpam-6099	12	10	2	2	NUM
ejpam-6099	12	11	,	,	PUNCT
ejpam-6099	12	12	3	3	NUM
ejpam-6099	12	13	]	]	PUNCT
ejpam-6099	12	14	,	,	PUNCT
ejpam-6099	12	15	the	the	DET
ejpam-6099	12	16	conformable	conformable	ADJ
ejpam-6099	12	17	double	double	ADJ
ejpam-6099	12	18	laplace	laplace	NOUN
ejpam-6099	12	19	-	-	PUNCT
ejpam-6099	12	20	sawi	sawi	NOUN
ejpam-6099	12	21	transform	transform	NOUN
ejpam-6099	12	22	[	[	X
ejpam-6099	12	23	4	4	NUM
ejpam-6099	12	24	]	]	PUNCT
ejpam-6099	12	25	and	and	CCONJ
ejpam-6099	12	26	the	the	DET
ejpam-6099	12	27	conformable	conformable	ADJ
ejpam-6099	12	28	double	double	ADJ
ejpam-6099	12	29	sumudu	sumudu	NOUN
ejpam-6099	12	30	transform	transform	NOUN
ejpam-6099	12	31	[	[	X
ejpam-6099	12	32	5	5	NUM
ejpam-6099	12	33	]	]	PUNCT
ejpam-6099	12	34	.	.	PUNCT
ejpam-6099	13	1	∗corresponding	∗corresponde	VERB
ejpam-6099	13	2	author	author	NOUN
ejpam-6099	13	3	.	.	PUNCT
ejpam-6099	14	1	doi	doi	NOUN
ejpam-6099	14	2	:	:	PUNCT
ejpam-6099	14	3	https://doi.org/10.29020/nybg.ejpam.v18i2.6099	https://doi.org/10.29020/nybg.ejpam.v18i2.6099	NUM
ejpam-6099	14	4	email	email	NOUN
ejpam-6099	14	5	addresses	address	NOUN
ejpam-6099	14	6	:	:	PUNCT
ejpam-6099	14	7	montheralmomani72@gmail.com	montheralmomani72@gmail.com	X
ejpam-6099	14	8	(	(	PUNCT
ejpam-6099	14	9	m.	m.	PROPN
ejpam-6099	14	10	al	al	PROPN
ejpam-6099	14	11	-	-	PUNCT
ejpam-6099	14	12	momani	momani	NOUN
ejpam-6099	14	13	)	)	PUNCT
ejpam-6099	14	14	,	,	PUNCT
ejpam-6099	14	15	a.jaradat@aau.edu.jo	a.jaradat@aau.edu.jo	PROPN
ejpam-6099	14	16	(	(	PUNCT
ejpam-6099	14	17	a.	a.	NOUN
ejpam-6099	14	18	jaradat	jaradat	PROPN
ejpam-6099	14	19	)	)	PUNCT
ejpam-6099	14	20	,	,	PUNCT
ejpam-6099	15	1	baha.abughazaleh@iu.edu.jo	baha.abughazaleh@iu.edu.jo	NOUN
ejpam-6099	15	2	(	(	PUNCT
ejpam-6099	15	3	b.	b.	PROPN
ejpam-6099	15	4	abughazaleh	abughazaleh	PROPN
ejpam-6099	15	5	)	)	PUNCT
ejpam-6099	15	6	,	,	PUNCT
ejpam-6099	15	7	karim.farah@iu.edu.jo	karim.farah@iu.edu.jo	PROPN
ejpam-6099	15	8	(	(	PUNCT
ejpam-6099	15	9	a.	a.	PROPN
ejpam-6099	15	10	farah	farah	PROPN
ejpam-6099	15	11	)	)	PUNCT
ejpam-6099	15	12	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6099	16	1	1	1	NUM
ejpam-6099	16	2	copyright	copyright	NOUN
ejpam-6099	16	3	:	:	PUNCT
ejpam-6099	16	4	©	©	PROPN
ejpam-6099	16	5	2025	2025	NUM
ejpam-6099	16	6	the	the	DET
ejpam-6099	16	7	author(s	author(s	NOUN
ejpam-6099	16	8	)	)	PUNCT
ejpam-6099	16	9	.	.	PUNCT
ejpam-6099	17	1	(	(	PUNCT
ejpam-6099	17	2	cc	cc	NOUN
ejpam-6099	17	3	by	by	ADP
ejpam-6099	17	4	-	-	PUNCT
ejpam-6099	17	5	nc	nc	PROPN
ejpam-6099	17	6	4.0	4.0	NUM
ejpam-6099	17	7	)	)	PUNCT
ejpam-6099	17	8	m.	m.	NOUN
ejpam-6099	17	9	al	al	PROPN
ejpam-6099	17	10	-	-	PUNCT
ejpam-6099	17	11	momani	momani	X
ejpam-6099	17	12	et	et	PROPN
ejpam-6099	17	13	al	al	PROPN
ejpam-6099	17	14	.	.	PUNCT
ejpam-6099	17	15	/	/	SYM
ejpam-6099	17	16	eur	eur	PROPN
ejpam-6099	17	17	.	.	PUNCT
ejpam-6099	18	1	j.	j.	PROPN
ejpam-6099	18	2	pure	pure	PROPN
ejpam-6099	18	3	appl	appl	PROPN
ejpam-6099	18	4	.	.	PROPN
ejpam-6099	18	5	math	math	PROPN
ejpam-6099	18	6	,	,	PUNCT
ejpam-6099	18	7	18	18	NUM
ejpam-6099	18	8	(	(	PUNCT
ejpam-6099	18	9	2	2	NUM
ejpam-6099	18	10	)	)	PUNCT
ejpam-6099	18	11	(	(	PUNCT
ejpam-6099	18	12	2025	2025	NUM
ejpam-6099	18	13	)	)	PUNCT
ejpam-6099	18	14	,	,	PUNCT
ejpam-6099	18	15	6099	6099	NUM
ejpam-6099	18	16	2	2	NUM
ejpam-6099	18	17	of	of	ADP
ejpam-6099	18	18	15	15	NUM
ejpam-6099	18	19	the	the	DET
ejpam-6099	18	20	double	double	ADJ
ejpam-6099	18	21	ara	ara	NOUN
ejpam-6099	18	22	-	-	PUNCT
ejpam-6099	18	23	sawi	sawi	NOUN
ejpam-6099	18	24	transform	transform	NOUN
ejpam-6099	18	25	[	[	X
ejpam-6099	18	26	6	6	NUM
ejpam-6099	18	27	]	]	PUNCT
ejpam-6099	18	28	was	be	AUX
ejpam-6099	18	29	proposed	propose	VERB
ejpam-6099	18	30	,	,	PUNCT
ejpam-6099	18	31	offering	offer	VERB
ejpam-6099	18	32	a	a	DET
ejpam-6099	18	33	new	new	ADJ
ejpam-6099	18	34	perspective	perspective	NOUN
ejpam-6099	18	35	in	in	ADP
ejpam-6099	18	36	handling	handle	VERB
ejpam-6099	18	37	boundary	boundary	ADJ
ejpam-6099	18	38	value	value	NOUN
ejpam-6099	18	39	problems	problem	NOUN
ejpam-6099	18	40	for	for	ADP
ejpam-6099	18	41	integer	integer	NOUN
ejpam-6099	18	42	-	-	PUNCT
ejpam-6099	18	43	order	order	NOUN
ejpam-6099	18	44	partial	partial	ADJ
ejpam-6099	18	45	differential	differential	NOUN
ejpam-6099	18	46	equations	equation	NOUN
ejpam-6099	18	47	.	.	PUNCT
ejpam-6099	19	1	for	for	ADP
ejpam-6099	19	2	further	further	ADJ
ejpam-6099	19	3	insights	insight	NOUN
ejpam-6099	19	4	into	into	ADP
ejpam-6099	19	5	integral	integral	ADJ
ejpam-6099	19	6	transforms	transform	NOUN
ejpam-6099	19	7	,	,	PUNCT
ejpam-6099	19	8	see	see	VERB
ejpam-6099	19	9	[	[	X
ejpam-6099	19	10	7–13	7–13	X
ejpam-6099	19	11	]	]	X
ejpam-6099	19	12	.	.	PUNCT
ejpam-6099	20	1	however	however	ADV
ejpam-6099	20	2	,	,	PUNCT
ejpam-6099	20	3	when	when	SCONJ
ejpam-6099	20	4	dealing	deal	VERB
ejpam-6099	20	5	with	with	ADP
ejpam-6099	20	6	fractional	fractional	ADJ
ejpam-6099	20	7	derivatives	derivative	NOUN
ejpam-6099	20	8	,	,	PUNCT
ejpam-6099	20	9	especially	especially	ADV
ejpam-6099	20	10	of	of	ADP
ejpam-6099	20	11	conformable	conformable	ADJ
ejpam-6099	20	12	type	type	NOUN
ejpam-6099	20	13	,	,	PUNCT
ejpam-6099	20	14	there	there	PRON
ejpam-6099	20	15	remained	remain	VERB
ejpam-6099	20	16	a	a	DET
ejpam-6099	20	17	need	need	NOUN
ejpam-6099	20	18	for	for	ADP
ejpam-6099	20	19	a	a	DET
ejpam-6099	20	20	structured	structured	ADJ
ejpam-6099	20	21	and	and	CCONJ
ejpam-6099	20	22	efficient	efficient	ADJ
ejpam-6099	20	23	method	method	NOUN
ejpam-6099	20	24	.	.	PUNCT
ejpam-6099	21	1	the	the	DET
ejpam-6099	21	2	conformable	conformable	ADJ
ejpam-6099	21	3	double	double	ADJ
ejpam-6099	21	4	ara	ara	NOUN
ejpam-6099	21	5	-	-	PUNCT
ejpam-6099	21	6	sawi	sawi	ADJ
ejpam-6099	21	7	transform	transform	NOUN
ejpam-6099	21	8	(	(	PUNCT
ejpam-6099	21	9	ca	ca	NOUN
ejpam-6099	21	10	-	-	PUNCT
ejpam-6099	21	11	sw	sw	NOUN
ejpam-6099	21	12	)	)	PUNCT
ejpam-6099	21	13	was	be	AUX
ejpam-6099	21	14	introduced	introduce	VERB
ejpam-6099	21	15	to	to	PART
ejpam-6099	21	16	fill	fill	VERB
ejpam-6099	21	17	this	this	DET
ejpam-6099	21	18	gap	gap	NOUN
ejpam-6099	21	19	.	.	PUNCT
ejpam-6099	22	1	inspired	inspire	VERB
ejpam-6099	22	2	by	by	ADP
ejpam-6099	22	3	the	the	DET
ejpam-6099	22	4	success	success	NOUN
ejpam-6099	22	5	of	of	ADP
ejpam-6099	22	6	the	the	DET
ejpam-6099	22	7	double	double	ADJ
ejpam-6099	22	8	sawi	sawi	ADJ
ejpam-6099	22	9	transform	transform	NOUN
ejpam-6099	22	10	in	in	ADP
ejpam-6099	22	11	solving	solve	VERB
ejpam-6099	22	12	boundary	boundary	ADJ
ejpam-6099	22	13	value	value	NOUN
ejpam-6099	22	14	problems	problem	NOUN
ejpam-6099	22	15	[	[	X
ejpam-6099	22	16	6	6	NUM
ejpam-6099	22	17	]	]	PUNCT
ejpam-6099	22	18	,	,	PUNCT
ejpam-6099	22	19	the	the	DET
ejpam-6099	22	20	ca	ca	NOUN
ejpam-6099	22	21	-	-	PUNCT
ejpam-6099	22	22	sw	sw	NOUN
ejpam-6099	22	23	transform	transform	NOUN
ejpam-6099	22	24	adapts	adapt	VERB
ejpam-6099	22	25	and	and	CCONJ
ejpam-6099	22	26	extends	extend	VERB
ejpam-6099	22	27	the	the	DET
ejpam-6099	22	28	method	method	NOUN
ejpam-6099	22	29	to	to	ADP
ejpam-6099	22	30	the	the	DET
ejpam-6099	22	31	conformable	conformable	ADJ
ejpam-6099	22	32	framework	framework	NOUN
ejpam-6099	22	33	,	,	PUNCT
ejpam-6099	22	34	allowing	allow	VERB
ejpam-6099	22	35	researchers	researcher	NOUN
ejpam-6099	22	36	to	to	PART
ejpam-6099	22	37	manage	manage	VERB
ejpam-6099	22	38	more	more	ADJ
ejpam-6099	22	39	complex	complex	ADJ
ejpam-6099	22	40	fractional	fractional	ADJ
ejpam-6099	22	41	models	model	NOUN
ejpam-6099	22	42	.	.	PUNCT
ejpam-6099	23	1	the	the	DET
ejpam-6099	23	2	motivation	motivation	NOUN
ejpam-6099	23	3	behind	behind	ADP
ejpam-6099	23	4	this	this	DET
ejpam-6099	23	5	study	study	NOUN
ejpam-6099	23	6	stems	stem	VERB
ejpam-6099	23	7	from	from	ADP
ejpam-6099	23	8	the	the	DET
ejpam-6099	23	9	increasing	increase	VERB
ejpam-6099	23	10	demand	demand	NOUN
ejpam-6099	23	11	for	for	ADP
ejpam-6099	23	12	robust	robust	ADJ
ejpam-6099	23	13	analytical	analytical	ADJ
ejpam-6099	23	14	tools	tool	NOUN
ejpam-6099	23	15	that	that	PRON
ejpam-6099	23	16	can	can	AUX
ejpam-6099	23	17	systematically	systematically	ADV
ejpam-6099	23	18	address	address	VERB
ejpam-6099	23	19	fractional	fractional	ADJ
ejpam-6099	23	20	differential	differential	ADJ
ejpam-6099	23	21	equations	equation	NOUN
ejpam-6099	23	22	without	without	ADP
ejpam-6099	23	23	relying	rely	VERB
ejpam-6099	23	24	on	on	ADP
ejpam-6099	23	25	cumbersome	cumbersome	ADJ
ejpam-6099	23	26	or	or	CCONJ
ejpam-6099	23	27	purely	purely	ADV
ejpam-6099	23	28	numerical	numerical	ADJ
ejpam-6099	23	29	techniques	technique	NOUN
ejpam-6099	23	30	.	.	PUNCT
ejpam-6099	24	1	traditional	traditional	ADJ
ejpam-6099	24	2	methods	method	NOUN
ejpam-6099	24	3	often	often	ADV
ejpam-6099	24	4	struggle	struggle	VERB
ejpam-6099	24	5	when	when	SCONJ
ejpam-6099	24	6	fractional	fractional	ADJ
ejpam-6099	24	7	derivatives	derivative	NOUN
ejpam-6099	24	8	appear	appear	VERB
ejpam-6099	24	9	with	with	ADP
ejpam-6099	24	10	variable	variable	ADJ
ejpam-6099	24	11	coefficients	coefficient	NOUN
ejpam-6099	24	12	or	or	CCONJ
ejpam-6099	24	13	non	non	ADJ
ejpam-6099	24	14	-	-	ADJ
ejpam-6099	24	15	standard	standard	ADJ
ejpam-6099	24	16	boundary	boundary	ADJ
ejpam-6099	24	17	conditions	condition	NOUN
ejpam-6099	24	18	.	.	PUNCT
ejpam-6099	25	1	by	by	ADP
ejpam-6099	25	2	developing	develop	VERB
ejpam-6099	25	3	the	the	DET
ejpam-6099	25	4	ca	ca	NOUN
ejpam-6099	25	5	-	-	PUNCT
ejpam-6099	25	6	sw	sw	PROPN
ejpam-6099	25	7	,	,	PUNCT
ejpam-6099	25	8	we	we	PRON
ejpam-6099	25	9	aim	aim	VERB
ejpam-6099	25	10	to	to	PART
ejpam-6099	25	11	offer	offer	VERB
ejpam-6099	25	12	a	a	DET
ejpam-6099	25	13	reliable	reliable	ADJ
ejpam-6099	25	14	and	and	CCONJ
ejpam-6099	25	15	systematic	systematic	ADJ
ejpam-6099	25	16	analytical	analytical	ADJ
ejpam-6099	25	17	tool	tool	NOUN
ejpam-6099	25	18	that	that	PRON
ejpam-6099	25	19	simplifies	simplify	VERB
ejpam-6099	25	20	these	these	DET
ejpam-6099	25	21	equations	equation	NOUN
ejpam-6099	25	22	into	into	ADP
ejpam-6099	25	23	algebraic	algebraic	ADJ
ejpam-6099	25	24	forms	form	NOUN
ejpam-6099	25	25	that	that	PRON
ejpam-6099	25	26	are	be	AUX
ejpam-6099	25	27	easier	easy	ADJ
ejpam-6099	25	28	to	to	PART
ejpam-6099	25	29	solve	solve	VERB
ejpam-6099	25	30	.	.	PUNCT
ejpam-6099	26	1	this	this	DET
ejpam-6099	26	2	paper	paper	NOUN
ejpam-6099	26	3	focuses	focus	VERB
ejpam-6099	26	4	on	on	ADP
ejpam-6099	26	5	establishing	establish	VERB
ejpam-6099	26	6	the	the	DET
ejpam-6099	26	7	theoretical	theoretical	ADJ
ejpam-6099	26	8	foundation	foundation	NOUN
ejpam-6099	26	9	of	of	ADP
ejpam-6099	26	10	the	the	DET
ejpam-6099	26	11	ca	ca	NOUN
ejpam-6099	26	12	-	-	PUNCT
ejpam-6099	26	13	sw	sw	NOUN
ejpam-6099	26	14	transform	transform	NOUN
ejpam-6099	26	15	.	.	PUNCT
ejpam-6099	27	1	we	we	PRON
ejpam-6099	27	2	define	define	VERB
ejpam-6099	27	3	its	its	PRON
ejpam-6099	27	4	existence	existence	NOUN
ejpam-6099	27	5	conditions	condition	NOUN
ejpam-6099	27	6	,	,	PUNCT
ejpam-6099	27	7	explore	explore	VERB
ejpam-6099	27	8	its	its	PRON
ejpam-6099	27	9	linearity	linearity	NOUN
ejpam-6099	27	10	,	,	PUNCT
ejpam-6099	27	11	and	and	CCONJ
ejpam-6099	27	12	derive	derive	VERB
ejpam-6099	27	13	its	its	PRON
ejpam-6099	27	14	interaction	interaction	NOUN
ejpam-6099	27	15	with	with	ADP
ejpam-6099	27	16	conformable	conformable	ADJ
ejpam-6099	27	17	partial	partial	ADJ
ejpam-6099	27	18	derivatives	derivative	NOUN
ejpam-6099	27	19	.	.	PUNCT
ejpam-6099	28	1	several	several	ADJ
ejpam-6099	28	2	basic	basic	ADJ
ejpam-6099	28	3	examples	example	NOUN
ejpam-6099	28	4	demonstrate	demonstrate	VERB
ejpam-6099	28	5	how	how	SCONJ
ejpam-6099	28	6	to	to	PART
ejpam-6099	28	7	compute	compute	VERB
ejpam-6099	28	8	the	the	DET
ejpam-6099	28	9	transform	transform	NOUN
ejpam-6099	28	10	explicitly	explicitly	ADV
ejpam-6099	28	11	for	for	ADP
ejpam-6099	28	12	elementary	elementary	ADJ
ejpam-6099	28	13	functions	function	NOUN
ejpam-6099	28	14	.	.	PUNCT
ejpam-6099	29	1	applications	application	NOUN
ejpam-6099	29	2	are	be	AUX
ejpam-6099	29	3	a	a	DET
ejpam-6099	29	4	key	key	ADJ
ejpam-6099	29	5	component	component	NOUN
ejpam-6099	29	6	of	of	ADP
ejpam-6099	29	7	this	this	DET
ejpam-6099	29	8	work	work	NOUN
ejpam-6099	29	9	.	.	PUNCT
ejpam-6099	30	1	we	we	PRON
ejpam-6099	30	2	apply	apply	VERB
ejpam-6099	30	3	the	the	DET
ejpam-6099	30	4	ca	ca	NOUN
ejpam-6099	30	5	-	-	PUNCT
ejpam-6099	30	6	sw	sw	NOUN
ejpam-6099	30	7	transform	transform	NOUN
ejpam-6099	30	8	to	to	PART
ejpam-6099	30	9	solve	solve	VERB
ejpam-6099	30	10	two	two	NUM
ejpam-6099	30	11	important	important	ADJ
ejpam-6099	30	12	conformable	conformable	ADJ
ejpam-6099	30	13	partial	partial	ADJ
ejpam-6099	30	14	differential	differential	NOUN
ejpam-6099	30	15	equations	equation	NOUN
ejpam-6099	30	16	:	:	PUNCT
ejpam-6099	30	17	the	the	DET
ejpam-6099	30	18	conformable	conformable	ADJ
ejpam-6099	30	19	kleingordon	kleingordon	NOUN
ejpam-6099	30	20	equation	equation	NOUN
ejpam-6099	30	21	and	and	CCONJ
ejpam-6099	30	22	the	the	DET
ejpam-6099	30	23	conformable	conformable	ADJ
ejpam-6099	30	24	telegraph	telegraph	NOUN
ejpam-6099	30	25	equation	equation	NOUN
ejpam-6099	30	26	.	.	PUNCT
ejpam-6099	31	1	these	these	DET
ejpam-6099	31	2	applications	application	NOUN
ejpam-6099	31	3	showcase	showcase	VERB
ejpam-6099	31	4	how	how	SCONJ
ejpam-6099	31	5	the	the	DET
ejpam-6099	31	6	ca	ca	NOUN
ejpam-6099	31	7	-	-	PUNCT
ejpam-6099	31	8	sw	sw	NOUN
ejpam-6099	31	9	transform	transform	NOUN
ejpam-6099	31	10	can	can	AUX
ejpam-6099	31	11	simplify	simplify	VERB
ejpam-6099	31	12	complex	complex	ADJ
ejpam-6099	31	13	equations	equation	NOUN
ejpam-6099	31	14	,	,	PUNCT
ejpam-6099	31	15	reduce	reduce	VERB
ejpam-6099	31	16	the	the	DET
ejpam-6099	31	17	number	number	NOUN
ejpam-6099	31	18	of	of	ADP
ejpam-6099	31	19	steps	step	NOUN
ejpam-6099	31	20	needed	need	VERB
ejpam-6099	31	21	for	for	ADP
ejpam-6099	31	22	their	their	PRON
ejpam-6099	31	23	solution	solution	NOUN
ejpam-6099	31	24	,	,	PUNCT
ejpam-6099	31	25	and	and	CCONJ
ejpam-6099	31	26	provide	provide	VERB
ejpam-6099	31	27	explicit	explicit	ADJ
ejpam-6099	31	28	forms	form	NOUN
ejpam-6099	31	29	of	of	ADP
ejpam-6099	31	30	the	the	DET
ejpam-6099	31	31	solutions	solution	NOUN
ejpam-6099	31	32	.	.	PUNCT
ejpam-6099	32	1	by	by	ADP
ejpam-6099	32	2	extending	extend	VERB
ejpam-6099	32	3	the	the	DET
ejpam-6099	32	4	classical	classical	ADJ
ejpam-6099	32	5	ara	ara	NOUN
ejpam-6099	32	6	-	-	PUNCT
ejpam-6099	32	7	sawi	sawi	ADJ
ejpam-6099	32	8	transform	transform	NOUN
ejpam-6099	32	9	to	to	ADP
ejpam-6099	32	10	the	the	DET
ejpam-6099	32	11	conformable	conformable	ADJ
ejpam-6099	32	12	setting	setting	NOUN
ejpam-6099	32	13	and	and	CCONJ
ejpam-6099	32	14	demonstrating	demonstrate	VERB
ejpam-6099	32	15	its	its	PRON
ejpam-6099	32	16	practical	practical	ADJ
ejpam-6099	32	17	utility	utility	NOUN
ejpam-6099	32	18	,	,	PUNCT
ejpam-6099	32	19	this	this	DET
ejpam-6099	32	20	study	study	NOUN
ejpam-6099	32	21	bridges	bridge	VERB
ejpam-6099	32	22	theoretical	theoretical	ADJ
ejpam-6099	32	23	advancements	advancement	NOUN
ejpam-6099	32	24	with	with	ADP
ejpam-6099	32	25	real	real	ADJ
ejpam-6099	32	26	-	-	PUNCT
ejpam-6099	32	27	world	world	NOUN
ejpam-6099	32	28	applications	application	NOUN
ejpam-6099	32	29	,	,	PUNCT
ejpam-6099	32	30	paving	pave	VERB
ejpam-6099	32	31	the	the	DET
ejpam-6099	32	32	way	way	NOUN
ejpam-6099	32	33	for	for	ADP
ejpam-6099	32	34	further	further	ADJ
ejpam-6099	32	35	developments	development	NOUN
ejpam-6099	32	36	in	in	ADP
ejpam-6099	32	37	fractional	fractional	ADJ
ejpam-6099	32	38	dynamics	dynamic	NOUN
ejpam-6099	32	39	,	,	PUNCT
ejpam-6099	32	40	nonlinear	nonlinear	ADJ
ejpam-6099	32	41	systems	system	NOUN
ejpam-6099	32	42	,	,	PUNCT
ejpam-6099	32	43	signal	signal	ADJ
ejpam-6099	32	44	transmission	transmission	NOUN
ejpam-6099	32	45	,	,	PUNCT
ejpam-6099	32	46	and	and	CCONJ
ejpam-6099	32	47	material	material	NOUN
ejpam-6099	32	48	science	science	NOUN
ejpam-6099	32	49	.	.	PUNCT
ejpam-6099	33	1	the	the	PRON
ejpam-6099	33	2	ca	ca	NOUN
ejpam-6099	33	3	-	-	PUNCT
ejpam-6099	33	4	sw	sw	NOUN
ejpam-6099	33	5	systematically	systematically	ADV
ejpam-6099	33	6	reduces	reduce	VERB
ejpam-6099	33	7	complex	complex	ADJ
ejpam-6099	33	8	conformable	conformable	ADJ
ejpam-6099	33	9	fractional	fractional	ADJ
ejpam-6099	33	10	equations	equation	NOUN
ejpam-6099	33	11	into	into	ADP
ejpam-6099	33	12	solvable	solvable	ADJ
ejpam-6099	33	13	algebraic	algebraic	ADJ
ejpam-6099	33	14	forms	form	NOUN
ejpam-6099	33	15	while	while	SCONJ
ejpam-6099	33	16	preserving	preserve	VERB
ejpam-6099	33	17	key	key	ADJ
ejpam-6099	33	18	properties	property	NOUN
ejpam-6099	33	19	like	like	ADP
ejpam-6099	33	20	linearity	linearity	NOUN
ejpam-6099	33	21	and	and	CCONJ
ejpam-6099	33	22	scaling	scaling	NOUN
ejpam-6099	33	23	.	.	PUNCT
ejpam-6099	34	1	it	it	PRON
ejpam-6099	34	2	extends	extend	VERB
ejpam-6099	34	3	classical	classical	ADJ
ejpam-6099	34	4	transforms	transform	NOUN
ejpam-6099	34	5	to	to	ADP
ejpam-6099	34	6	the	the	DET
ejpam-6099	34	7	conformable	conformable	ADJ
ejpam-6099	34	8	setting	setting	NOUN
ejpam-6099	34	9	,	,	PUNCT
ejpam-6099	34	10	offering	offer	VERB
ejpam-6099	34	11	broader	broad	ADJ
ejpam-6099	34	12	applicability	applicability	NOUN
ejpam-6099	34	13	to	to	ADP
ejpam-6099	34	14	equations	equation	NOUN
ejpam-6099	34	15	with	with	ADP
ejpam-6099	34	16	variable	variable	ADJ
ejpam-6099	34	17	coefficients	coefficient	NOUN
ejpam-6099	34	18	and	and	CCONJ
ejpam-6099	34	19	non	non	ADJ
ejpam-6099	34	20	-	-	ADJ
ejpam-6099	34	21	standard	standard	ADJ
ejpam-6099	34	22	conditions	condition	NOUN
ejpam-6099	34	23	.	.	PUNCT
ejpam-6099	35	1	this	this	PRON
ejpam-6099	35	2	makes	make	VERB
ejpam-6099	35	3	it	it	PRON
ejpam-6099	35	4	a	a	DET
ejpam-6099	35	5	powerful	powerful	ADJ
ejpam-6099	35	6	tool	tool	NOUN
ejpam-6099	35	7	for	for	ADP
ejpam-6099	35	8	solving	solve	VERB
ejpam-6099	35	9	advanced	advanced	ADJ
ejpam-6099	35	10	problems	problem	NOUN
ejpam-6099	35	11	in	in	ADP
ejpam-6099	35	12	physics	physics	NOUN
ejpam-6099	35	13	and	and	CCONJ
ejpam-6099	35	14	engineering	engineering	NOUN
ejpam-6099	35	15	.	.	PUNCT
ejpam-6099	36	1	2	2	X
ejpam-6099	36	2	.	.	X
ejpam-6099	36	3	fundamental	fundamental	ADJ
ejpam-6099	36	4	definitions	definition	NOUN
ejpam-6099	36	5	and	and	CCONJ
ejpam-6099	36	6	theorems	theorem	NOUN
ejpam-6099	36	7	this	this	DET
ejpam-6099	36	8	section	section	NOUN
ejpam-6099	36	9	covers	cover	VERB
ejpam-6099	36	10	essential	essential	ADJ
ejpam-6099	36	11	definitions	definition	NOUN
ejpam-6099	36	12	and	and	CCONJ
ejpam-6099	36	13	theorems	theorem	NOUN
ejpam-6099	36	14	related	relate	VERB
ejpam-6099	36	15	to	to	AUX
ejpam-6099	36	16	conformable	conformable	ADJ
ejpam-6099	36	17	fractional	fractional	ADJ
ejpam-6099	36	18	derivatives	derivative	NOUN
ejpam-6099	36	19	.	.	PUNCT
ejpam-6099	37	1	it	it	PRON
ejpam-6099	37	2	defines	define	VERB
ejpam-6099	37	3	the	the	DET
ejpam-6099	37	4	conformable	conformable	ADJ
ejpam-6099	37	5	fractional	fractional	ADJ
ejpam-6099	37	6	derivative	derivative	NOUN
ejpam-6099	37	7	,	,	PUNCT
ejpam-6099	37	8	explores	explore	VERB
ejpam-6099	37	9	its	its	PRON
ejpam-6099	37	10	key	key	ADJ
ejpam-6099	37	11	properties	property	NOUN
ejpam-6099	37	12	,	,	PUNCT
ejpam-6099	37	13	and	and	CCONJ
ejpam-6099	37	14	presents	present	VERB
ejpam-6099	37	15	fundamental	fundamental	ADJ
ejpam-6099	37	16	theorems	theorem	NOUN
ejpam-6099	37	17	needed	need	VERB
ejpam-6099	37	18	for	for	ADP
ejpam-6099	37	19	applying	apply	VERB
ejpam-6099	37	20	the	the	DET
ejpam-6099	37	21	ca	ca	NOUN
ejpam-6099	37	22	-	-	PUNCT
ejpam-6099	37	23	sw	sw	PROPN
ejpam-6099	37	24	.	.	PUNCT
ejpam-6099	37	25	m.	m.	PROPN
ejpam-6099	37	26	al	al	PROPN
ejpam-6099	37	27	-	-	PUNCT
ejpam-6099	37	28	momani	momani	X
ejpam-6099	37	29	et	et	PROPN
ejpam-6099	37	30	al	al	PROPN
ejpam-6099	37	31	.	.	PUNCT
ejpam-6099	37	32	/	/	SYM
ejpam-6099	37	33	eur	eur	PROPN
ejpam-6099	37	34	.	.	PUNCT
ejpam-6099	38	1	j.	j.	PROPN
ejpam-6099	38	2	pure	pure	PROPN
ejpam-6099	38	3	appl	appl	PROPN
ejpam-6099	38	4	.	.	PROPN
ejpam-6099	38	5	math	math	PROPN
ejpam-6099	38	6	,	,	PUNCT
ejpam-6099	38	7	18	18	NUM
ejpam-6099	38	8	(	(	PUNCT
ejpam-6099	38	9	2	2	NUM
ejpam-6099	38	10	)	)	PUNCT
ejpam-6099	38	11	(	(	PUNCT
ejpam-6099	38	12	2025	2025	NUM
ejpam-6099	38	13	)	)	PUNCT
ejpam-6099	38	14	,	,	PUNCT
ejpam-6099	38	15	6099	6099	NUM
ejpam-6099	38	16	3	3	NUM
ejpam-6099	38	17	of	of	ADP
ejpam-6099	38	18	15	15	NUM
ejpam-6099	38	19	definition	definition	NOUN
ejpam-6099	38	20	1	1	NUM
ejpam-6099	38	21	.	.	PUNCT
ejpam-6099	39	1	[	[	X
ejpam-6099	39	2	1	1	X
ejpam-6099	39	3	]	]	PUNCT
ejpam-6099	39	4	let	let	VERB
ejpam-6099	39	5	0	0	PUNCT
ejpam-6099	39	6	<	<	X
ejpam-6099	39	7	β	β	X
ejpam-6099	39	8	≤	≤	NOUN
ejpam-6099	39	9	1	1	NUM
ejpam-6099	39	10	and	and	CCONJ
ejpam-6099	39	11	s	s	VERB
ejpam-6099	39	12	:	:	PUNCT
ejpam-6099	39	13	(	(	PUNCT
ejpam-6099	39	14	0,∞	0,∞	NOUN
ejpam-6099	39	15	)	)	PUNCT
ejpam-6099	39	16	→	→	PUNCT
ejpam-6099	39	17	r.	r.	VERB
ejpam-6099	39	18	the	the	DET
ejpam-6099	39	19	conformable	conformable	ADJ
ejpam-6099	39	20	fractional	fractional	ADJ
ejpam-6099	39	21	derivative	derivative	NOUN
ejpam-6099	39	22	of	of	ADP
ejpam-6099	39	23	order	order	NOUN
ejpam-6099	39	24	β	β	X
ejpam-6099	39	25	is	be	AUX
ejpam-6099	39	26	defined	define	VERB
ejpam-6099	39	27	as	as	ADP
ejpam-6099	39	28	:	:	PUNCT
ejpam-6099	39	29	dβ	dβ	ADP
ejpam-6099	39	30	dξβ	dξβ	ADJ
ejpam-6099	39	31	s(ξ	s(ξ	PROPN
ejpam-6099	39	32	)	)	PUNCT
ejpam-6099	40	1	=	=	SYM
ejpam-6099	40	2	lim	lim	PROPN
ejpam-6099	40	3	n→0	n→0	X
ejpam-6099	41	1	s(ξ	s(ξ	PROPN
ejpam-6099	41	2	+	+	CCONJ
ejpam-6099	41	3	nξ1−β)−	nξ1−β)−	NUM
ejpam-6099	41	4	s(ξ	s(ξ	PROPN
ejpam-6099	41	5	)	)	PUNCT
ejpam-6099	41	6	n	n	NOUN
ejpam-6099	41	7	,	,	PUNCT
ejpam-6099	41	8	where	where	SCONJ
ejpam-6099	41	9	ξ	ξ	X
ejpam-6099	41	10	>	>	X
ejpam-6099	41	11	0	0	NUM
ejpam-6099	41	12	,	,	PUNCT
ejpam-6099	41	13	and	and	CCONJ
ejpam-6099	41	14	∂β	∂β	PROPN
ejpam-6099	41	15	∂ξβ	∂ξβ	PROPN
ejpam-6099	41	16	is	be	AUX
ejpam-6099	41	17	referred	refer	VERB
ejpam-6099	41	18	to	to	ADP
ejpam-6099	41	19	as	as	ADP
ejpam-6099	41	20	the	the	DET
ejpam-6099	41	21	fractional	fractional	ADJ
ejpam-6099	41	22	derivative	derivative	NOUN
ejpam-6099	41	23	of	of	ADP
ejpam-6099	41	24	order	order	NOUN
ejpam-6099	41	25	β	β	X
ejpam-6099	41	26	.	.	PUNCT
ejpam-6099	41	27	definition	definition	NOUN
ejpam-6099	41	28	2	2	NUM
ejpam-6099	41	29	.	.	PUNCT
ejpam-6099	42	1	[	[	X
ejpam-6099	42	2	14	14	NUM
ejpam-6099	42	3	]	]	PUNCT
ejpam-6099	42	4	let	let	VERB
ejpam-6099	42	5	0	0	NUM
ejpam-6099	42	6	<	<	X
ejpam-6099	42	7	β1	β1	PROPN
ejpam-6099	42	8	,	,	PUNCT
ejpam-6099	42	9	β2	β2	VERB
ejpam-6099	42	10	≤	≤	NOUN
ejpam-6099	42	11	1	1	NUM
ejpam-6099	42	12	and	and	CCONJ
ejpam-6099	42	13	s(ξ	s(ξ	PROPN
ejpam-6099	42	14	,	,	PUNCT
ejpam-6099	42	15	ρ	ρ	PROPN
ejpam-6099	42	16	)	)	PUNCT
ejpam-6099	42	17	:	:	PUNCT
ejpam-6099	42	18	(	(	PUNCT
ejpam-6099	42	19	0,∞)×	0,∞)×	NUM
ejpam-6099	42	20	(	(	PUNCT
ejpam-6099	42	21	0,∞	0,∞	NUM
ejpam-6099	42	22	)	)	PUNCT
ejpam-6099	42	23	→	→	PUNCT
ejpam-6099	42	24	r.	r.	VERB
ejpam-6099	42	25	the	the	DET
ejpam-6099	42	26	conformable	conformable	ADJ
ejpam-6099	42	27	partial	partial	ADJ
ejpam-6099	42	28	derivatives	derivative	NOUN
ejpam-6099	42	29	of	of	ADP
ejpam-6099	42	30	orders	order	NOUN
ejpam-6099	42	31	β1	β1	PROPN
ejpam-6099	42	32	and	and	CCONJ
ejpam-6099	42	33	β2	β2	NOUN
ejpam-6099	42	34	of	of	ADP
ejpam-6099	42	35	the	the	DET
ejpam-6099	42	36	function	function	NOUN
ejpam-6099	42	37	s(ξ	s(ξ	PROPN
ejpam-6099	42	38	,	,	PUNCT
ejpam-6099	42	39	ρ	ρ	NOUN
ejpam-6099	42	40	)	)	PUNCT
ejpam-6099	42	41	are	be	AUX
ejpam-6099	42	42	defined	define	VERB
ejpam-6099	42	43	as	as	ADP
ejpam-6099	42	44	:	:	PUNCT
ejpam-6099	42	45	∂β1	∂β1	NOUN
ejpam-6099	42	46	∂ξβ1	∂ξβ1	NUM
ejpam-6099	42	47	s(ξ	s(ξ	PROPN
ejpam-6099	42	48	,	,	PUNCT
ejpam-6099	42	49	ρ	ρ	NOUN
ejpam-6099	42	50	)	)	PUNCT
ejpam-6099	43	1	=	=	SYM
ejpam-6099	43	2	lim	lim	PROPN
ejpam-6099	43	3	n→0	n→0	X
ejpam-6099	44	1	s(ξ	s(ξ	PROPN
ejpam-6099	45	1	+	+	CCONJ
ejpam-6099	45	2	nξ1−β1	nξ1−β1	PROPN
ejpam-6099	45	3	,	,	PUNCT
ejpam-6099	45	4	ρ)−	ρ)−	PROPN
ejpam-6099	45	5	s(ξ	s(ξ	PROPN
ejpam-6099	45	6	,	,	PUNCT
ejpam-6099	45	7	ρ	ρ	NOUN
ejpam-6099	45	8	)	)	PUNCT
ejpam-6099	45	9	n	n	NOUN
ejpam-6099	45	10	,	,	PUNCT
ejpam-6099	45	11	∂β2	∂β2	NUM
ejpam-6099	45	12	∂ρβ2	∂ρβ2	NUM
ejpam-6099	45	13	s(ξ	s(ξ	PROPN
ejpam-6099	45	14	,	,	PUNCT
ejpam-6099	45	15	ρ	ρ	NOUN
ejpam-6099	45	16	)	)	PUNCT
ejpam-6099	45	17	=	=	SYM
ejpam-6099	45	18	lim	lim	PROPN
ejpam-6099	45	19	n→0	n→0	PROPN
ejpam-6099	45	20	s(ξ	s(ξ	PROPN
ejpam-6099	45	21	,	,	PUNCT
ejpam-6099	45	22	ρ+	ρ+	NOUN
ejpam-6099	45	23	nρ1−β2)−	nρ1−β2)−	ADV
ejpam-6099	45	24	s(ξ	s(ξ	PROPN
ejpam-6099	45	25	,	,	PUNCT
ejpam-6099	45	26	ρ	ρ	NOUN
ejpam-6099	45	27	)	)	PUNCT
ejpam-6099	45	28	n	n	NOUN
ejpam-6099	45	29	,	,	PUNCT
ejpam-6099	45	30	where	where	SCONJ
ejpam-6099	45	31	ξ	ξ	X
ejpam-6099	45	32	,	,	PUNCT
ejpam-6099	45	33	ρ	ρ	PROPN
ejpam-6099	45	34	>	>	X
ejpam-6099	45	35	0	0	NUM
ejpam-6099	45	36	,	,	PUNCT
ejpam-6099	45	37	∂β1	∂β1	VERB
ejpam-6099	45	38	∂ξβ1	∂ξβ1	NUM
ejpam-6099	45	39	and	and	CCONJ
ejpam-6099	45	40	∂β2	∂β2	ADJ
ejpam-6099	45	41	∂ρβ2	∂ρβ2	NOUN
ejpam-6099	45	42	are	be	AUX
ejpam-6099	45	43	referred	refer	VERB
ejpam-6099	45	44	to	to	ADP
ejpam-6099	45	45	as	as	ADP
ejpam-6099	45	46	fractional	fractional	ADJ
ejpam-6099	45	47	derivatives	derivative	NOUN
ejpam-6099	45	48	of	of	ADP
ejpam-6099	45	49	orders	order	NOUN
ejpam-6099	45	50	β1	β1	PROPN
ejpam-6099	45	51	and	and	CCONJ
ejpam-6099	45	52	β2	β2	NOUN
ejpam-6099	45	53	,	,	PUNCT
ejpam-6099	45	54	respectively	respectively	ADV
ejpam-6099	45	55	.	.	PUNCT
ejpam-6099	46	1	theorem	theorem	NOUN
ejpam-6099	46	2	1	1	NUM
ejpam-6099	46	3	.	.	PUNCT
ejpam-6099	47	1	[	[	X
ejpam-6099	47	2	15]suppose	15]suppose	NUM
ejpam-6099	47	3	that	that	SCONJ
ejpam-6099	47	4	s(ξ	s(ξ	PROPN
ejpam-6099	47	5	,	,	PUNCT
ejpam-6099	47	6	ρ	ρ	NOUN
ejpam-6099	47	7	)	)	PUNCT
ejpam-6099	47	8	be	be	AUX
ejpam-6099	47	9	differentiable	differentiable	ADJ
ejpam-6099	47	10	at	at	ADP
ejpam-6099	47	11	a	a	DET
ejpam-6099	47	12	point	point	NOUN
ejpam-6099	47	13	ξ	ξ	PROPN
ejpam-6099	47	14	,	,	PUNCT
ejpam-6099	47	15	ρ	ρ	PROPN
ejpam-6099	47	16	>	>	X
ejpam-6099	47	17	0	0	NUM
ejpam-6099	47	18	,	,	PUNCT
ejpam-6099	47	19	0	0	NUM
ejpam-6099	47	20	<	<	X
ejpam-6099	47	21	β1	β1	PROPN
ejpam-6099	47	22	,	,	PUNCT
ejpam-6099	47	23	β2	β2	VERB
ejpam-6099	47	24	≤	≤	NOUN
ejpam-6099	47	25	1	1	NUM
ejpam-6099	47	26	,	,	PUNCT
ejpam-6099	47	27	then	then	ADV
ejpam-6099	47	28	:	:	PUNCT
ejpam-6099	47	29	∂β1s	∂β1s	NOUN
ejpam-6099	47	30	∂ξβ1	∂ξβ1	ADP
ejpam-6099	47	31	=	=	SYM
ejpam-6099	47	32	ξ1−β1	ξ1−β1	NUM
ejpam-6099	47	33	∂s	∂s	PROPN
ejpam-6099	47	34	∂ξ	∂ξ	PROPN
ejpam-6099	47	35	,	,	PUNCT
ejpam-6099	47	36	∂β2s	∂β2s	X
ejpam-6099	47	37	∂ρβ2	∂ρβ2	NUM
ejpam-6099	47	38	=	=	SYM
ejpam-6099	47	39	ρ1−β2	ρ1−β2	NUM
ejpam-6099	47	40	∂s	∂s	PROPN
ejpam-6099	47	41	∂ρ	∂ρ	PROPN
ejpam-6099	47	42	.	.	PUNCT
ejpam-6099	48	1	3	3	X
ejpam-6099	48	2	.	.	X
ejpam-6099	48	3	conformable	conformable	ADJ
ejpam-6099	48	4	double	double	ADJ
ejpam-6099	48	5	ara	ara	NOUN
ejpam-6099	48	6	-	-	PUNCT
ejpam-6099	48	7	sawi	sawi	NOUN
ejpam-6099	48	8	transform	transform	NOUN
ejpam-6099	48	9	this	this	DET
ejpam-6099	48	10	section	section	NOUN
ejpam-6099	48	11	serves	serve	VERB
ejpam-6099	48	12	to	to	PART
ejpam-6099	48	13	introduce	introduce	VERB
ejpam-6099	48	14	the	the	DET
ejpam-6099	48	15	ca	ca	NOUN
ejpam-6099	48	16	-	-	PUNCT
ejpam-6099	48	17	sw	sw	PROPN
ejpam-6099	48	18	.	.	PUNCT
ejpam-6099	49	1	we	we	PRON
ejpam-6099	49	2	commence	commence	VERB
ejpam-6099	49	3	by	by	ADP
ejpam-6099	49	4	delineating	delineate	VERB
ejpam-6099	49	5	its	its	PRON
ejpam-6099	49	6	fundamental	fundamental	ADJ
ejpam-6099	49	7	properties	property	NOUN
ejpam-6099	49	8	,	,	PUNCT
ejpam-6099	49	9	encompassing	encompass	VERB
ejpam-6099	49	10	aspects	aspect	NOUN
ejpam-6099	49	11	like	like	ADP
ejpam-6099	49	12	linearity	linearity	NOUN
ejpam-6099	49	13	.	.	PUNCT
ejpam-6099	50	1	subsequently	subsequently	ADV
ejpam-6099	50	2	,	,	PUNCT
ejpam-6099	50	3	we	we	PRON
ejpam-6099	50	4	reveal	reveal	VERB
ejpam-6099	50	5	a	a	DET
ejpam-6099	50	6	novel	novel	ADJ
ejpam-6099	50	7	result	result	NOUN
ejpam-6099	50	8	associated	associate	VERB
ejpam-6099	50	9	with	with	ADP
ejpam-6099	50	10	partial	partial	ADJ
ejpam-6099	50	11	derivatives	derivative	NOUN
ejpam-6099	50	12	.	.	PUNCT
ejpam-6099	51	1	ultimately	ultimately	ADV
ejpam-6099	51	2	,	,	PUNCT
ejpam-6099	51	3	we	we	PRON
ejpam-6099	51	4	illustrate	illustrate	VERB
ejpam-6099	51	5	how	how	SCONJ
ejpam-6099	51	6	these	these	DET
ejpam-6099	51	7	insights	insight	NOUN
ejpam-6099	51	8	enable	enable	VERB
ejpam-6099	51	9	us	we	PRON
ejpam-6099	51	10	to	to	PART
ejpam-6099	51	11	compute	compute	VERB
ejpam-6099	51	12	the	the	DET
ejpam-6099	51	13	ca	ca	NOUN
ejpam-6099	51	14	-	-	PUNCT
ejpam-6099	51	15	sw	sw	PROPN
ejpam-6099	51	16	for	for	ADP
ejpam-6099	51	17	various	various	ADJ
ejpam-6099	51	18	essential	essential	ADJ
ejpam-6099	51	19	functions	function	NOUN
ejpam-6099	51	20	.	.	PUNCT
ejpam-6099	52	1	definition	definition	NOUN
ejpam-6099	52	2	3	3	NUM
ejpam-6099	52	3	.	.	PUNCT
ejpam-6099	53	1	let	let	VERB
ejpam-6099	53	2	s(ξ	s(ξ	PROPN
ejpam-6099	53	3	,	,	PUNCT
ejpam-6099	53	4	ρ	ρ	NOUN
ejpam-6099	53	5	)	)	PUNCT
ejpam-6099	53	6	be	be	VERB
ejpam-6099	53	7	a	a	DET
ejpam-6099	53	8	continuous	continuous	ADJ
ejpam-6099	53	9	function	function	NOUN
ejpam-6099	53	10	on	on	ADP
ejpam-6099	53	11	(	(	PUNCT
ejpam-6099	53	12	0,∞)×	0,∞)×	NUM
ejpam-6099	53	13	(	(	PUNCT
ejpam-6099	53	14	0,∞	0,∞	NUM
ejpam-6099	53	15	)	)	PUNCT
ejpam-6099	53	16	.	.	PUNCT
ejpam-6099	54	1	then	then	ADV
ejpam-6099	54	2	1the	1the	NUM
ejpam-6099	54	3	conformable	conformable	ADJ
ejpam-6099	54	4	ara	ara	NOUN
ejpam-6099	54	5	transformation	transformation	NOUN
ejpam-6099	54	6	(	(	PUNCT
ejpam-6099	54	7	ca	ca	NOUN
ejpam-6099	54	8	)	)	PUNCT
ejpam-6099	54	9	of	of	ADP
ejpam-6099	54	10	s(ξ	s(ξ	PROPN
ejpam-6099	54	11	,	,	PUNCT
ejpam-6099	54	12	ρ	ρ	PROPN
ejpam-6099	54	13	)	)	PUNCT
ejpam-6099	54	14	,	,	PUNCT
ejpam-6099	54	15	denoted	denote	VERB
ejpam-6099	54	16	by	by	ADP
ejpam-6099	54	17	aβξ	aβξ	NOUN
ejpam-6099	54	18	[	[	X
ejpam-6099	54	19	s(ξ	s(ξ	PROPN
ejpam-6099	54	20	,	,	PUNCT
ejpam-6099	54	21	ρ	ρ	NOUN
ejpam-6099	54	22	)	)	PUNCT
ejpam-6099	54	23	]	]	PUNCT
ejpam-6099	54	24	,	,	PUNCT
ejpam-6099	54	25	is	be	AUX
ejpam-6099	54	26	defined	define	VERB
ejpam-6099	54	27	as	as	ADP
ejpam-6099	54	28	:	:	PUNCT
ejpam-6099	54	29	j	j	PROPN
ejpam-6099	54	30	(	(	PUNCT
ejpam-6099	54	31	ψ	ψ	NOUN
ejpam-6099	54	32	)	)	PUNCT
ejpam-6099	54	33	=	=	SYM
ejpam-6099	54	34	aβξ	aβξ	NOUN
ejpam-6099	54	35	(	(	PUNCT
ejpam-6099	54	36	s(ξ	s(ξ	PROPN
ejpam-6099	54	37	,	,	PUNCT
ejpam-6099	54	38	ρ	ρ	NOUN
ejpam-6099	54	39	)	)	PUNCT
ejpam-6099	54	40	)	)	PUNCT
ejpam-6099	55	1	=	=	PUNCT
ejpam-6099	55	2	ψ	ψ	X
ejpam-6099	55	3	∞∫	∞∫	PROPN
ejpam-6099	55	4	0	0	NUM
ejpam-6099	55	5	e	e	NOUN
ejpam-6099	55	6	−ψ	−ψ	VERB
ejpam-6099	55	7	ξβ	ξβ	NOUN
ejpam-6099	55	8	β	β	X
ejpam-6099	55	9	s(ξ	s(ξ	PROPN
ejpam-6099	55	10	,	,	PUNCT
ejpam-6099	55	11	ρ)ξβ−1dξ	ρ)ξβ−1dξ	PROPN
ejpam-6099	55	12	,	,	PUNCT
ejpam-6099	55	13	ψ	ψ	NOUN
ejpam-6099	55	14	∈	∈	PROPN
ejpam-6099	55	15	c.	c.	NOUN
ejpam-6099	55	16	2the	2the	PROPN
ejpam-6099	55	17	conformable	conformable	ADJ
ejpam-6099	55	18	sawi	sawi	ADJ
ejpam-6099	55	19	transformation	transformation	NOUN
ejpam-6099	55	20	(	(	PUNCT
ejpam-6099	55	21	csw	csw	PROPN
ejpam-6099	55	22	)	)	PUNCT
ejpam-6099	55	23	of	of	ADP
ejpam-6099	55	24	s(ξ	s(ξ	PROPN
ejpam-6099	55	25	,	,	PUNCT
ejpam-6099	55	26	ρ	ρ	PROPN
ejpam-6099	55	27	)	)	PUNCT
ejpam-6099	55	28	,	,	PUNCT
ejpam-6099	55	29	denoted	denote	VERB
ejpam-6099	55	30	by	by	ADP
ejpam-6099	55	31	aβρ	aβρ	NOUN
ejpam-6099	55	32	[	[	X
ejpam-6099	55	33	s(ξ	s(ξ	PROPN
ejpam-6099	55	34	,	,	PUNCT
ejpam-6099	55	35	ρ	ρ	NOUN
ejpam-6099	55	36	)	)	PUNCT
ejpam-6099	55	37	]	]	PUNCT
ejpam-6099	55	38	,	,	PUNCT
ejpam-6099	55	39	is	be	AUX
ejpam-6099	55	40	defined	define	VERB
ejpam-6099	55	41	as	as	ADP
ejpam-6099	55	42	:	:	PUNCT
ejpam-6099	55	43	l	l	NOUN
ejpam-6099	55	44	(	(	PUNCT
ejpam-6099	55	45	κ	κ	NOUN
ejpam-6099	55	46	)	)	PUNCT
ejpam-6099	55	47	=	=	PROPN
ejpam-6099	55	48	w	w	PROPN
ejpam-6099	55	49	β	β	X
ejpam-6099	55	50	ρ	ρ	X
ejpam-6099	55	51	(	(	PUNCT
ejpam-6099	55	52	s(ξ	s(ξ	PROPN
ejpam-6099	55	53	,	,	PUNCT
ejpam-6099	55	54	ρ	ρ	NOUN
ejpam-6099	55	55	)	)	PUNCT
ejpam-6099	55	56	)	)	PUNCT
ejpam-6099	56	1	=	=	SYM
ejpam-6099	56	2	1	1	NUM
ejpam-6099	56	3	κ2	κ2	PROPN
ejpam-6099	56	4	∞∫	∞∫	PROPN
ejpam-6099	56	5	0	0	PUNCT
ejpam-6099	57	1	e	e	X
ejpam-6099	57	2	−	−	NOUN
ejpam-6099	57	3	ρβ	ρβ	INTJ
ejpam-6099	57	4	κβ	κβ	ADP
ejpam-6099	57	5	s(ξ	s(ξ	PROPN
ejpam-6099	57	6	,	,	PUNCT
ejpam-6099	57	7	ρ)ρβ−1dρ	ρ)ρβ−1dρ	PROPN
ejpam-6099	57	8	,	,	PUNCT
ejpam-6099	57	9	κ	κ	PROPN
ejpam-6099	57	10	∈	∈	PROPN
ejpam-6099	57	11	c.	c.	PROPN
ejpam-6099	57	12	m.	m.	PROPN
ejpam-6099	57	13	al	al	PROPN
ejpam-6099	57	14	-	-	PUNCT
ejpam-6099	57	15	momani	momani	X
ejpam-6099	57	16	et	et	PROPN
ejpam-6099	57	17	al	al	PROPN
ejpam-6099	57	18	.	.	PUNCT
ejpam-6099	57	19	/	/	SYM
ejpam-6099	57	20	eur	eur	PROPN
ejpam-6099	57	21	.	.	PUNCT
ejpam-6099	58	1	j.	j.	PROPN
ejpam-6099	58	2	pure	pure	PROPN
ejpam-6099	58	3	appl	appl	PROPN
ejpam-6099	58	4	.	.	PROPN
ejpam-6099	58	5	math	math	PROPN
ejpam-6099	58	6	,	,	PUNCT
ejpam-6099	58	7	18	18	NUM
ejpam-6099	58	8	(	(	PUNCT
ejpam-6099	58	9	2	2	NUM
ejpam-6099	58	10	)	)	PUNCT
ejpam-6099	58	11	(	(	PUNCT
ejpam-6099	58	12	2025	2025	NUM
ejpam-6099	58	13	)	)	PUNCT
ejpam-6099	58	14	,	,	PUNCT
ejpam-6099	58	15	6099	6099	NUM
ejpam-6099	58	16	4	4	NUM
ejpam-6099	58	17	of	of	ADP
ejpam-6099	58	18	15	15	NUM
ejpam-6099	58	19	3ca	3ca	NOUN
ejpam-6099	58	20	-	-	PUNCT
ejpam-6099	58	21	sw	sw	NOUN
ejpam-6099	58	22	of	of	ADP
ejpam-6099	58	23	s(ξ	s(ξ	PROPN
ejpam-6099	58	24	,	,	PUNCT
ejpam-6099	58	25	ρ	ρ	PROPN
ejpam-6099	58	26	)	)	PUNCT
ejpam-6099	58	27	,	,	PUNCT
ejpam-6099	58	28	denoted	denote	VERB
ejpam-6099	58	29	by	by	ADP
ejpam-6099	58	30	aβ1ξ	aβ1ξ	PROPN
ejpam-6099	58	31	w	w	PROPN
ejpam-6099	58	32	β2	β2	PROPN
ejpam-6099	58	33	ρ	ρ	PROPN
ejpam-6099	59	1	[	[	X
ejpam-6099	59	2	s(ξ	s(ξ	PROPN
ejpam-6099	59	3	,	,	PUNCT
ejpam-6099	59	4	ρ	ρ	NOUN
ejpam-6099	59	5	)	)	PUNCT
ejpam-6099	59	6	]	]	PUNCT
ejpam-6099	59	7	,	,	PUNCT
ejpam-6099	59	8	is	be	AUX
ejpam-6099	59	9	defined	define	VERB
ejpam-6099	59	10	as	as	ADP
ejpam-6099	59	11	:	:	PUNCT
ejpam-6099	59	12	s(ψ	s(ψ	PROPN
ejpam-6099	59	13	,	,	PUNCT
ejpam-6099	59	14	κ	κ	NOUN
ejpam-6099	59	15	)	)	PUNCT
ejpam-6099	59	16	=	=	SYM
ejpam-6099	60	1	aβ1ξ	aβ1ξ	PROPN
ejpam-6099	60	2	w	w	NOUN
ejpam-6099	60	3	β2	β2	PROPN
ejpam-6099	60	4	ρ	ρ	PROPN
ejpam-6099	61	1	[	[	X
ejpam-6099	61	2	s(ξ	s(ξ	PROPN
ejpam-6099	61	3	,	,	PUNCT
ejpam-6099	61	4	ρ	ρ	NOUN
ejpam-6099	61	5	)	)	PUNCT
ejpam-6099	61	6	]	]	PUNCT
ejpam-6099	62	1	=	=	SYM
ejpam-6099	62	2	ψ	ψ	SYM
ejpam-6099	62	3	κ2	κ2	PROPN
ejpam-6099	62	4	∫	∫	PROPN
ejpam-6099	62	5	∞	∞	NUM
ejpam-6099	62	6	0	0	NUM
ejpam-6099	63	1	∫	∫	PROPN
ejpam-6099	63	2	∞	∞	NUM
ejpam-6099	63	3	0	0	PUNCT
ejpam-6099	64	1	e	e	X
ejpam-6099	64	2	−	−	PROPN
ejpam-6099	64	3	(	(	PUNCT
ejpam-6099	64	4	ψ	ψ	NOUN
ejpam-6099	64	5	ξβ1	ξβ1	NOUN
ejpam-6099	64	6	β1	β1	NOUN
ejpam-6099	64	7	+	+	CCONJ
ejpam-6099	64	8	ρβ2	ρβ2	NOUN
ejpam-6099	64	9	κβ2	κβ2	NOUN
ejpam-6099	64	10	)	)	PUNCT
ejpam-6099	64	11	s(ξ	s(ξ	PROPN
ejpam-6099	64	12	,	,	PUNCT
ejpam-6099	64	13	ρ)ξβ1−1ρβ2−1dξdρ	ρ)ξβ1−1ρβ2−1dξdρ	NOUN
ejpam-6099	64	14	.	.	PUNCT
ejpam-6099	65	1	theorem	theorem	PROPN
ejpam-6099	65	2	2	2	NUM
ejpam-6099	65	3	.	.	X
ejpam-6099	65	4	assume	assume	VERB
ejpam-6099	65	5	that	that	SCONJ
ejpam-6099	65	6	s	s	VERB
ejpam-6099	65	7	:	:	PUNCT
ejpam-6099	65	8	(	(	PUNCT
ejpam-6099	65	9	0,∞)×(0,∞	0,∞)×(0,∞	NUM
ejpam-6099	65	10	)	)	PUNCT
ejpam-6099	66	1	→	→	PUNCT
ejpam-6099	66	2	r	r	NOUN
ejpam-6099	66	3	such	such	ADJ
ejpam-6099	66	4	that	that	SCONJ
ejpam-6099	66	5	s(ψ	s(ψ	PROPN
ejpam-6099	66	6	,	,	PUNCT
ejpam-6099	66	7	κ	κ	NOUN
ejpam-6099	66	8	)	)	PUNCT
ejpam-6099	66	9	=	=	SYM
ejpam-6099	67	1	aβ1ξ	aβ1ξ	PROPN
ejpam-6099	67	2	w	w	NOUN
ejpam-6099	67	3	β2	β2	PROPN
ejpam-6099	67	4	ρ	ρ	PROPN
ejpam-6099	67	5	[	[	X
ejpam-6099	67	6	s	s	X
ejpam-6099	67	7	(	(	PUNCT
ejpam-6099	67	8	ξ	ξ	X
ejpam-6099	67	9	β1	β1	PROPN
ejpam-6099	67	10	β1	β1	PROPN
ejpam-6099	67	11	,	,	PUNCT
ejpam-6099	67	12	ρ	ρ	PROPN
ejpam-6099	67	13	β2	β2	PROPN
ejpam-6099	67	14	β2	β2	PROPN
ejpam-6099	67	15	)	)	PUNCT
ejpam-6099	67	16	]	]	PUNCT
ejpam-6099	68	1	exist	exist	VERB
ejpam-6099	68	2	,	,	PUNCT
ejpam-6099	68	3	then	then	ADV
ejpam-6099	68	4	aβ1ξ	aβ1ξ	PROPN
ejpam-6099	68	5	w	w	PROPN
ejpam-6099	68	6	β2	β2	PROPN
ejpam-6099	68	7	ρ	ρ	PROPN
ejpam-6099	69	1	[	[	X
ejpam-6099	69	2	s	s	X
ejpam-6099	69	3	(	(	PUNCT
ejpam-6099	69	4	ξβ1	ξβ1	PROPN
ejpam-6099	69	5	β1	β1	PROPN
ejpam-6099	69	6	,	,	PUNCT
ejpam-6099	69	7	ρβ2	ρβ2	NOUN
ejpam-6099	69	8	β2	β2	NOUN
ejpam-6099	69	9	)	)	PUNCT
ejpam-6099	69	10	]	]	PUNCT
ejpam-6099	70	1	=	=	PUNCT
ejpam-6099	70	2	aξwρ[s(ξ	aξwρ[s(ξ	PROPN
ejpam-6099	70	3	,	,	PUNCT
ejpam-6099	70	4	ρ	ρ	PROPN
ejpam-6099	70	5	)	)	PUNCT
ejpam-6099	70	6	]	]	PUNCT
ejpam-6099	70	7	,	,	PUNCT
ejpam-6099	70	8	where	where	SCONJ
ejpam-6099	70	9	aξwρ[s(ξ	aξwρ[s(ξ	PROPN
ejpam-6099	70	10	,	,	PUNCT
ejpam-6099	70	11	ρ	ρ	PROPN
ejpam-6099	70	12	)	)	PUNCT
ejpam-6099	70	13	]	]	PUNCT
ejpam-6099	71	1	=	=	SYM
ejpam-6099	71	2	ψ	ψ	SYM
ejpam-6099	71	3	κ2	κ2	PROPN
ejpam-6099	71	4	∫	∫	PROPN
ejpam-6099	71	5	∞	∞	NUM
ejpam-6099	71	6	0	0	NUM
ejpam-6099	72	1	∫	∫	PROPN
ejpam-6099	72	2	∞	∞	PROPN
ejpam-6099	72	3	0	0	NUM
ejpam-6099	72	4	e−(ψξ+	e−(ψξ+	PROPN
ejpam-6099	72	5	ρ	ρ	PROPN
ejpam-6099	72	6	κ	κ	PROPN
ejpam-6099	72	7	)	)	PUNCT
ejpam-6099	72	8	s(ξ	s(ξ	PROPN
ejpam-6099	72	9	,	,	PUNCT
ejpam-6099	72	10	ρ	ρ	PROPN
ejpam-6099	72	11	)	)	PUNCT
ejpam-6099	72	12	dξ	dξ	PROPN
ejpam-6099	72	13	dρ	dρ	PROPN
ejpam-6099	72	14	.	.	PUNCT
ejpam-6099	73	1	lemma	lemma	PROPN
ejpam-6099	73	2	1	1	NUM
ejpam-6099	73	3	.	.	PUNCT
ejpam-6099	74	1	aβ1ξ	aβ1ξ	PROPN
ejpam-6099	74	2	w	w	PROPN
ejpam-6099	74	3	β2	β2	PROPN
ejpam-6099	74	4	ρ	ρ	PROPN
ejpam-6099	74	5	(	(	PUNCT
ejpam-6099	74	6	s(ξ	s(ξ	PROPN
ejpam-6099	74	7	,	,	PUNCT
ejpam-6099	74	8	ρ	ρ	NOUN
ejpam-6099	74	9	)	)	PUNCT
ejpam-6099	74	10	)	)	PUNCT
ejpam-6099	74	11	is	be	AUX
ejpam-6099	74	12	a	a	DET
ejpam-6099	74	13	linear	linear	ADJ
ejpam-6099	74	14	transformation	transformation	NOUN
ejpam-6099	74	15	.	.	PUNCT
ejpam-6099	75	1	proof	proof	NOUN
ejpam-6099	75	2	.	.	PUNCT
ejpam-6099	76	1	for	for	ADP
ejpam-6099	76	2	nonzero	nonzero	PROPN
ejpam-6099	76	3	constants	constant	NOUN
ejpam-6099	76	4	λ	λ	PROPN
ejpam-6099	76	5	and	and	CCONJ
ejpam-6099	76	6	ν	ν	NOUN
ejpam-6099	76	7	,	,	PUNCT
ejpam-6099	76	8	we	we	PRON
ejpam-6099	76	9	have	have	VERB
ejpam-6099	76	10	aβ1ξ	aβ1ξ	PROPN
ejpam-6099	76	11	w	w	PROPN
ejpam-6099	76	12	β2	β2	PROPN
ejpam-6099	76	13	ρ	ρ	PROPN
ejpam-6099	76	14	(	(	PUNCT
ejpam-6099	76	15	λs1(ξ	λs1(ξ	PROPN
ejpam-6099	76	16	,	,	PUNCT
ejpam-6099	76	17	ρ)+νs2(ξ	ρ)+νs2(ξ	PROPN
ejpam-6099	76	18	,	,	PUNCT
ejpam-6099	76	19	ρ	ρ	NOUN
ejpam-6099	76	20	)	)	PUNCT
ejpam-6099	76	21	)	)	PUNCT
ejpam-6099	77	1	=	=	SYM
ejpam-6099	77	2	ψ	ψ	ADP
ejpam-6099	77	3	κ2	κ2	PROPN
ejpam-6099	77	4	∞∫	∞∫	PROPN
ejpam-6099	77	5	0	0	NUM
ejpam-6099	77	6	∞∫	∞∫	NOUN
ejpam-6099	77	7	0	0	PUNCT
ejpam-6099	78	1	e	e	X
ejpam-6099	78	2	−	−	PROPN
ejpam-6099	78	3	(	(	PUNCT
ejpam-6099	78	4	ψ	ψ	NOUN
ejpam-6099	78	5	ξβ1	ξβ1	NOUN
ejpam-6099	78	6	β1	β1	NOUN
ejpam-6099	78	7	+	+	CCONJ
ejpam-6099	78	8	ρβ2	ρβ2	NOUN
ejpam-6099	78	9	κβ2	κβ2	NOUN
ejpam-6099	78	10	)	)	PUNCT
ejpam-6099	78	11	(	(	PUNCT
ejpam-6099	78	12	λs1(ξ	λs1(ξ	X
ejpam-6099	78	13	,	,	PUNCT
ejpam-6099	78	14	ρ	ρ	NOUN
ejpam-6099	78	15	)	)	PUNCT
ejpam-6099	78	16	+	+	CCONJ
ejpam-6099	78	17	νs2(ξ	νs2(ξ	PROPN
ejpam-6099	78	18	,	,	PUNCT
ejpam-6099	78	19	ρ))ξ	ρ))ξ	NOUN
ejpam-6099	78	20	β1−1ρβ2−1dξdρ	β1−1ρβ2−1dξdρ	NOUN
ejpam-6099	78	21	,	,	PUNCT
ejpam-6099	78	22	=	=	PUNCT
ejpam-6099	78	23	λ	λ	PART
ejpam-6099	78	24	ψ	ψ	SYM
ejpam-6099	78	25	κ2	κ2	PROPN
ejpam-6099	78	26	∞∫	∞∫	PROPN
ejpam-6099	78	27	0	0	NUM
ejpam-6099	79	1	∞∫	∞∫	NOUN
ejpam-6099	79	2	0	0	PUNCT
ejpam-6099	80	1	e	e	X
ejpam-6099	80	2	−	−	PROPN
ejpam-6099	80	3	(	(	PUNCT
ejpam-6099	80	4	ψ	ψ	NOUN
ejpam-6099	80	5	ξβ1	ξβ1	NOUN
ejpam-6099	80	6	β1	β1	NOUN
ejpam-6099	80	7	+	+	CCONJ
ejpam-6099	80	8	ρβ2	ρβ2	NOUN
ejpam-6099	80	9	κβ2	κβ2	NOUN
ejpam-6099	80	10	)	)	PUNCT
ejpam-6099	80	11	s1(ξ	s1(ξ	PROPN
ejpam-6099	80	12	,	,	PUNCT
ejpam-6099	80	13	ρ)ξ	ρ)ξ	X
ejpam-6099	80	14	β1−1ρβ2−1dξdρ+	β1−1ρβ2−1dξdρ+	ADJ
ejpam-6099	80	15	ν	ν	X
ejpam-6099	80	16	ψ	ψ	SYM
ejpam-6099	80	17	κ2	κ2	PROPN
ejpam-6099	80	18	∞∫	∞∫	PROPN
ejpam-6099	80	19	0	0	NUM
ejpam-6099	80	20	∞∫	∞∫	NOUN
ejpam-6099	80	21	0	0	PUNCT
ejpam-6099	81	1	e	e	X
ejpam-6099	81	2	−	−	PROPN
ejpam-6099	81	3	(	(	PUNCT
ejpam-6099	81	4	ψ	ψ	NOUN
ejpam-6099	81	5	ξβ1	ξβ1	NOUN
ejpam-6099	81	6	β1	β1	NOUN
ejpam-6099	81	7	+	+	CCONJ
ejpam-6099	81	8	ρβ2	ρβ2	NOUN
ejpam-6099	81	9	κβ2	κβ2	NOUN
ejpam-6099	81	10	)	)	PUNCT
ejpam-6099	81	11	s2(ξ	s2(ξ	NUM
ejpam-6099	81	12	,	,	PUNCT
ejpam-6099	81	13	ρ)ξ	ρ)ξ	PUNCT
ejpam-6099	82	1	β1−1ρβ2−1dξdρ	β1−1ρβ2−1dξdρ	PROPN
ejpam-6099	82	2	=	=	NOUN
ejpam-6099	83	1	λaβ1ξ	λaβ1ξ	PROPN
ejpam-6099	83	2	w	w	PROPN
ejpam-6099	83	3	β2	β2	PROPN
ejpam-6099	83	4	ρ	ρ	PROPN
ejpam-6099	83	5	(	(	PUNCT
ejpam-6099	83	6	s1(ξ	s1(ξ	PROPN
ejpam-6099	83	7	,	,	PUNCT
ejpam-6099	83	8	ρ	ρ	NOUN
ejpam-6099	83	9	)	)	PUNCT
ejpam-6099	83	10	)	)	PUNCT
ejpam-6099	84	1	+	+	CCONJ
ejpam-6099	84	2	νaβ1ξ	νaβ1ξ	PROPN
ejpam-6099	84	3	w	w	PROPN
ejpam-6099	84	4	β2	β2	PROPN
ejpam-6099	84	5	ρ	ρ	PROPN
ejpam-6099	84	6	(	(	PUNCT
ejpam-6099	84	7	s2(ξ	s2(ξ	PROPN
ejpam-6099	84	8	,	,	PUNCT
ejpam-6099	84	9	ρ	ρ	PROPN
ejpam-6099	84	10	)	)	PUNCT
ejpam-6099	84	11	)	)	PUNCT
ejpam-6099	84	12	.	.	PUNCT
ejpam-6099	85	1	if	if	SCONJ
ejpam-6099	85	2	s(ξ	s(ξ	PROPN
ejpam-6099	85	3	,	,	PUNCT
ejpam-6099	85	4	ρ	ρ	NOUN
ejpam-6099	85	5	)	)	PUNCT
ejpam-6099	85	6	can	can	AUX
ejpam-6099	85	7	be	be	AUX
ejpam-6099	85	8	written	write	VERB
ejpam-6099	85	9	as	as	ADP
ejpam-6099	85	10	s(ξ	s(ξ	PROPN
ejpam-6099	85	11	,	,	PUNCT
ejpam-6099	85	12	ρ	ρ	NOUN
ejpam-6099	85	13	)	)	PUNCT
ejpam-6099	85	14	=	=	SYM
ejpam-6099	85	15	p(ξ)q(ρ	p(ξ)q(ρ	NOUN
ejpam-6099	85	16	)	)	PUNCT
ejpam-6099	85	17	for	for	ADP
ejpam-6099	85	18	some	some	DET
ejpam-6099	85	19	continuous	continuous	ADJ
ejpam-6099	85	20	functions	function	NOUN
ejpam-6099	85	21	p	p	NOUN
ejpam-6099	85	22	and	and	CCONJ
ejpam-6099	85	23	q	q	NOUN
ejpam-6099	85	24	,	,	PUNCT
ejpam-6099	85	25	then	then	ADV
ejpam-6099	85	26	aβ1ξ	aβ1ξ	PROPN
ejpam-6099	85	27	w	w	PROPN
ejpam-6099	85	28	β2	β2	PROPN
ejpam-6099	85	29	ρ	ρ	PROPN
ejpam-6099	85	30	(	(	PUNCT
ejpam-6099	85	31	s(ξ	s(ξ	PROPN
ejpam-6099	85	32	,	,	PUNCT
ejpam-6099	85	33	ρ	ρ	NOUN
ejpam-6099	85	34	)	)	PUNCT
ejpam-6099	85	35	)	)	PUNCT
ejpam-6099	86	1	=	=	SYM
ejpam-6099	86	2	aβ1ξ	aβ1ξ	PROPN
ejpam-6099	86	3	(	(	PUNCT
ejpam-6099	86	4	p(ξ))w	p(ξ))w	PROPN
ejpam-6099	86	5	β2	β2	PROPN
ejpam-6099	86	6	ρ	ρ	PROPN
ejpam-6099	86	7	(	(	PUNCT
ejpam-6099	86	8	q(ρ	q(ρ	PROPN
ejpam-6099	86	9	)	)	PUNCT
ejpam-6099	86	10	)	)	PUNCT
ejpam-6099	86	11	.	.	PUNCT
ejpam-6099	87	1	in	in	ADP
ejpam-6099	87	2	fact	fact	NOUN
ejpam-6099	87	3	aβ1ξ	aβ1ξ	PROPN
ejpam-6099	87	4	w	w	PROPN
ejpam-6099	87	5	β2	β2	PROPN
ejpam-6099	87	6	ρ	ρ	PROPN
ejpam-6099	87	7	(	(	PUNCT
ejpam-6099	87	8	s(ξ	s(ξ	PROPN
ejpam-6099	87	9	,	,	PUNCT
ejpam-6099	87	10	ρ	ρ	NOUN
ejpam-6099	87	11	)	)	PUNCT
ejpam-6099	87	12	)	)	PUNCT
ejpam-6099	88	1	=	=	PUNCT
ejpam-6099	88	2	aβ1ξ	aβ1ξ	PROPN
ejpam-6099	88	3	w	w	NUM
ejpam-6099	88	4	β2	β2	PROPN
ejpam-6099	88	5	ρ	ρ	PROPN
ejpam-6099	88	6	(	(	PUNCT
ejpam-6099	88	7	p(ξ)q(ρ	p(ξ)q(ρ	NOUN
ejpam-6099	88	8	)	)	PUNCT
ejpam-6099	88	9	)	)	PUNCT
ejpam-6099	89	1	=	=	PUNCT
ejpam-6099	89	2	ψ	ψ	ADP
ejpam-6099	89	3	κ2	κ2	PROPN
ejpam-6099	89	4	∞∫	∞∫	PROPN
ejpam-6099	89	5	0	0	NUM
ejpam-6099	89	6	∞∫	∞∫	NOUN
ejpam-6099	89	7	0	0	PUNCT
ejpam-6099	90	1	e	e	X
ejpam-6099	90	2	−	−	PROPN
ejpam-6099	90	3	(	(	PUNCT
ejpam-6099	90	4	ψ	ψ	NOUN
ejpam-6099	90	5	ξβ1	ξβ1	NOUN
ejpam-6099	90	6	β1	β1	NOUN
ejpam-6099	90	7	+	+	CCONJ
ejpam-6099	90	8	ρβ2	ρβ2	NOUN
ejpam-6099	90	9	κβ2	κβ2	NOUN
ejpam-6099	90	10	)	)	PUNCT
ejpam-6099	90	11	p(ξ)q(ρ)ξβ1−1ρβ2−1dξdρ	p(ξ)q(ρ)ξβ1−1ρβ2−1dξdρ	NOUN
ejpam-6099	91	1	=	=	PUNCT
ejpam-6099	91	2	ψ∞∫	ψ∞∫	NOUN
ejpam-6099	91	3	0	0	NUM
ejpam-6099	92	1	e	e	NOUN
ejpam-6099	92	2	−ψ	−ψ	VERB
ejpam-6099	92	3	ξβ1	ξβ1	PROPN
ejpam-6099	92	4	β1	β1	PROPN
ejpam-6099	92	5	p(ξ)ξβ1−1dξ	p(ξ)ξβ1−1dξ	NOUN
ejpam-6099	92	6			PROPN
ejpam-6099	92	7	1	1	NUM
ejpam-6099	92	8	κ2	κ2	PROPN
ejpam-6099	92	9	∞∫	∞∫	PROPN
ejpam-6099	92	10	0	0	PUNCT
ejpam-6099	93	1	e	e	NOUN
ejpam-6099	93	2	−	−	PROPN
ejpam-6099	93	3	ρβ2	ρβ2	NOUN
ejpam-6099	93	4	κβ2	κβ2	NOUN
ejpam-6099	93	5	q(ρ)ρβ2−1dρ	q(ρ)ρβ2−1dρ	ADV
ejpam-6099	93	6			PROPN
ejpam-6099	93	7	=	=	SYM
ejpam-6099	93	8	aβ1ξ	aβ1ξ	PROPN
ejpam-6099	93	9	(	(	PUNCT
ejpam-6099	93	10	p(ξ))w	p(ξ))w	PROPN
ejpam-6099	93	11	β2	β2	PROPN
ejpam-6099	93	12	ρ	ρ	PROPN
ejpam-6099	93	13	(	(	PUNCT
ejpam-6099	93	14	q(ρ	q(ρ	PROPN
ejpam-6099	93	15	)	)	PUNCT
ejpam-6099	93	16	)	)	PUNCT
ejpam-6099	93	17	.	.	PUNCT
ejpam-6099	94	1	m.	m.	PROPN
ejpam-6099	94	2	al	al	PROPN
ejpam-6099	94	3	-	-	PUNCT
ejpam-6099	94	4	momani	momani	X
ejpam-6099	94	5	et	et	PROPN
ejpam-6099	94	6	al	al	PROPN
ejpam-6099	94	7	.	.	PUNCT
ejpam-6099	94	8	/	/	SYM
ejpam-6099	94	9	eur	eur	PROPN
ejpam-6099	94	10	.	.	PUNCT
ejpam-6099	95	1	j.	j.	PROPN
ejpam-6099	95	2	pure	pure	PROPN
ejpam-6099	95	3	appl	appl	PROPN
ejpam-6099	95	4	.	.	PROPN
ejpam-6099	95	5	math	math	PROPN
ejpam-6099	95	6	,	,	PUNCT
ejpam-6099	95	7	18	18	NUM
ejpam-6099	95	8	(	(	PUNCT
ejpam-6099	95	9	2	2	NUM
ejpam-6099	95	10	)	)	PUNCT
ejpam-6099	95	11	(	(	PUNCT
ejpam-6099	95	12	2025	2025	NUM
ejpam-6099	95	13	)	)	PUNCT
ejpam-6099	95	14	,	,	PUNCT
ejpam-6099	95	15	6099	6099	NUM
ejpam-6099	95	16	5	5	NUM
ejpam-6099	95	17	of	of	ADP
ejpam-6099	95	18	15	15	NUM
ejpam-6099	95	19	3.1	3.1	NUM
ejpam-6099	95	20	.	.	PUNCT
ejpam-6099	96	1	ca	can	AUX
ejpam-6099	96	2	-	-	PUNCT
ejpam-6099	96	3	sw	sw	NOUN
ejpam-6099	96	4	for	for	ADP
ejpam-6099	96	5	some	some	DET
ejpam-6099	96	6	basic	basic	ADJ
ejpam-6099	96	7	functions	function	NOUN
ejpam-6099	96	8	(	(	PUNCT
ejpam-6099	96	9	i	i	NOUN
ejpam-6099	96	10	)	)	PUNCT
ejpam-6099	96	11	aβ1ξ	aβ1ξ	PROPN
ejpam-6099	96	12	w	w	PROPN
ejpam-6099	96	13	β2	β2	PROPN
ejpam-6099	96	14	ρ	ρ	PROPN
ejpam-6099	97	1	[	[	X
ejpam-6099	97	2	c	c	X
ejpam-6099	97	3	]	]	X
ejpam-6099	97	4	=	=	SYM
ejpam-6099	97	5	aξwρ[c	aξwρ[c	NOUN
ejpam-6099	97	6	]	]	X
ejpam-6099	97	7	=	=	PUNCT
ejpam-6099	97	8	c	c	X
ejpam-6099	97	9	κ	κ	NOUN
ejpam-6099	97	10	,	,	PUNCT
ejpam-6099	98	1	c	c	PROPN
ejpam-6099	98	2	∈	∈	PROPN
ejpam-6099	98	3	r	r	NOUN
ejpam-6099	98	4	,	,	PUNCT
ejpam-6099	98	5	(	(	PUNCT
ejpam-6099	98	6	ii	ii	NOUN
ejpam-6099	98	7	)	)	PUNCT
ejpam-6099	98	8	aβ1ξ	aβ1ξ	PROPN
ejpam-6099	98	9	w	w	PROPN
ejpam-6099	98	10	β2	β2	PROPN
ejpam-6099	99	1	ρ	ρ	PROPN
ejpam-6099	100	1	[	[	X
ejpam-6099	100	2	(	(	PUNCT
ejpam-6099	100	3	ξβ1	ξβ1	PROPN
ejpam-6099	100	4	β1	β1	PROPN
ejpam-6099	100	5	)	)	PUNCT
ejpam-6099	100	6	λ	λ	PROPN
ejpam-6099	100	7	(	(	PUNCT
ejpam-6099	100	8	ρβ2	ρβ2	NOUN
ejpam-6099	100	9	β2	β2	NOUN
ejpam-6099	100	10	)	)	PUNCT
ejpam-6099	100	11	ν	ν	X
ejpam-6099	100	12	]	]	X
ejpam-6099	100	13	=	=	SYM
ejpam-6099	100	14	aξwρ[ξ	aξwρ[ξ	NOUN
ejpam-6099	100	15	λρν	λρν	X
ejpam-6099	100	16	]	]	X
ejpam-6099	100	17	=	=	PUNCT
ejpam-6099	100	18	κν−1	κν−1	ADJ
ejpam-6099	100	19	ψλ	ψλ	ADP
ejpam-6099	100	20	γ(λ+	γ(λ+	X
ejpam-6099	100	21	1)γ(ν	1)γ(ν	NUM
ejpam-6099	100	22	+	+	CCONJ
ejpam-6099	100	23	1	1	NUM
ejpam-6099	100	24	)	)	PUNCT
ejpam-6099	100	25	,	,	PUNCT
ejpam-6099	100	26	re(ψ	re(ψ	VERB
ejpam-6099	100	27	)	)	PUNCT
ejpam-6099	100	28	>	>	X
ejpam-6099	100	29	0	0	PUNCT
ejpam-6099	100	30	and	and	CCONJ
ejpam-6099	100	31	re(λ	re(λ	NUM
ejpam-6099	100	32	)	)	PUNCT
ejpam-6099	100	33	>	>	X
ejpam-6099	101	1	−1	−1	NOUN
ejpam-6099	101	2	,	,	PUNCT
ejpam-6099	101	3	(	(	PUNCT
ejpam-6099	101	4	iii	iii	NOUN
ejpam-6099	101	5	)	)	PUNCT
ejpam-6099	101	6	aβ1ξ	aβ1ξ	PROPN
ejpam-6099	101	7	w	w	NOUN
ejpam-6099	101	8	β2	β2	PROPN
ejpam-6099	101	9	ρ	ρ	PROPN
ejpam-6099	101	10	[	[	PUNCT
ejpam-6099	101	11	e	e	X
ejpam-6099	101	12	λ	λ	X
ejpam-6099	101	13	ξβ1	ξβ1	NOUN
ejpam-6099	101	14	β1	β1	NOUN
ejpam-6099	101	15	+	+	PROPN
ejpam-6099	101	16	ν	ν	X
ejpam-6099	101	17	ρβ2	ρβ2	NOUN
ejpam-6099	101	18	β2	β2	NOUN
ejpam-6099	101	19	]	]	X
ejpam-6099	101	20	=	=	SYM
ejpam-6099	101	21	aξwρ[e	aξwρ[e	NOUN
ejpam-6099	101	22	λξ+νρ	λξ+νρ	NOUN
ejpam-6099	101	23	]	]	X
ejpam-6099	101	24	=	=	SYM
ejpam-6099	102	1	ψ	ψ	X
ejpam-6099	102	2	κ	κ	X
ejpam-6099	102	3	(	(	PUNCT
ejpam-6099	102	4	ψ	ψ	X
ejpam-6099	102	5	−	−	PROPN
ejpam-6099	102	6	λ	λ	NOUN
ejpam-6099	102	7	)	)	PUNCT
ejpam-6099	102	8	(	(	PUNCT
ejpam-6099	102	9	1−	1−	NUM
ejpam-6099	102	10	νκ	νκ	NOUN
ejpam-6099	102	11	)	)	PUNCT
ejpam-6099	102	12	,	,	PUNCT
ejpam-6099	102	13	re(ψ	re(ψ	PROPN
ejpam-6099	102	14	)	)	PUNCT
ejpam-6099	102	15	>	>	X
ejpam-6099	102	16	re(λ	re(λ	NOUN
ejpam-6099	102	17	)	)	PUNCT
ejpam-6099	102	18	.	.	PUNCT
ejpam-6099	103	1	3.2	3.2	NUM
ejpam-6099	103	2	.	.	PUNCT
ejpam-6099	104	1	existence	existence	NOUN
ejpam-6099	104	2	condition	condition	NOUN
ejpam-6099	104	3	for	for	ADP
ejpam-6099	104	4	ca	ca	NOUN
ejpam-6099	104	5	-	-	PUNCT
ejpam-6099	104	6	sw	sw	NOUN
ejpam-6099	104	7	definition	definition	NOUN
ejpam-6099	104	8	4	4	NUM
ejpam-6099	104	9	.	.	PUNCT
ejpam-6099	105	1	let	let	VERB
ejpam-6099	105	2	0	0	NUM
ejpam-6099	105	3	<	<	X
ejpam-6099	105	4	β1	β1	PROPN
ejpam-6099	105	5	,	,	PUNCT
ejpam-6099	105	6	β2	β2	VERB
ejpam-6099	105	7	≤	≤	NOUN
ejpam-6099	105	8	1	1	NUM
ejpam-6099	105	9	.	.	PUNCT
ejpam-6099	106	1	then	then	ADV
ejpam-6099	106	2	a	a	DET
ejpam-6099	106	3	function	function	NOUN
ejpam-6099	106	4	s(ξ	s(ξ	PROPN
ejpam-6099	106	5	,	,	PUNCT
ejpam-6099	106	6	ρ	ρ	NOUN
ejpam-6099	106	7	)	)	PUNCT
ejpam-6099	106	8	is	be	AUX
ejpam-6099	106	9	said	say	VERB
ejpam-6099	106	10	to	to	PART
ejpam-6099	106	11	be	be	AUX
ejpam-6099	106	12	of	of	ADP
ejpam-6099	106	13	conformable	conformable	ADJ
ejpam-6099	106	14	exponential	exponential	ADJ
ejpam-6099	106	15	orders	order	NOUN
ejpam-6099	106	16	λ	λ	PROPN
ejpam-6099	106	17	and	and	CCONJ
ejpam-6099	106	18	ν	ν	NOUN
ejpam-6099	106	19	on	on	ADP
ejpam-6099	106	20	0	0	NUM
ejpam-6099	106	21	<	<	X
ejpam-6099	106	22	ξ	ξ	X
ejpam-6099	106	23	<	<	X
ejpam-6099	106	24	∞	∞	NUM
ejpam-6099	106	25	and	and	CCONJ
ejpam-6099	106	26	0	0	NUM
ejpam-6099	106	27	<	<	X
ejpam-6099	106	28	ρ	ρ	PROPN
ejpam-6099	106	29	<	<	X
ejpam-6099	106	30	∞.	∞.	PROPN
ejpam-6099	106	31	if	if	SCONJ
ejpam-6099	106	32	there	there	PRON
ejpam-6099	106	33	exist	exist	VERB
ejpam-6099	106	34	k	k	PROPN
ejpam-6099	106	35	,	,	PUNCT
ejpam-6099	106	36	x	x	PROPN
ejpam-6099	106	37	,	,	PUNCT
ejpam-6099	106	38	y	y	PROPN
ejpam-6099	106	39	>	>	X
ejpam-6099	106	40	0	0	NUM
ejpam-6099	107	1	such	such	ADJ
ejpam-6099	107	2	that	that	SCONJ
ejpam-6099	107	3	|s(ξ	|s(ξ	PROPN
ejpam-6099	107	4	,	,	PUNCT
ejpam-6099	107	5	ρ)|	ρ)|	PROPN
ejpam-6099	107	6	≤	≤	NUM
ejpam-6099	107	7	ke	ke	PROPN
ejpam-6099	107	8	λ	λ	PROPN
ejpam-6099	107	9	ξβ1	ξβ1	NOUN
ejpam-6099	107	10	β1	β1	NOUN
ejpam-6099	108	1	+	+	PROPN
ejpam-6099	108	2	ν	ν	X
ejpam-6099	108	3	ρβ2	ρβ2	NOUN
ejpam-6099	108	4	β2	β2	NOUN
ejpam-6099	108	5	,	,	PUNCT
ejpam-6099	108	6	for	for	ADP
ejpam-6099	108	7	all	all	PRON
ejpam-6099	108	8	ξ	ξ	PRON
ejpam-6099	108	9	β1	β1	PROPN
ejpam-6099	108	10	β1	β1	PROPN
ejpam-6099	108	11	>	>	X
ejpam-6099	108	12	x	x	PROPN
ejpam-6099	108	13	,	,	PUNCT
ejpam-6099	108	14	ρβ2	ρβ2	PROPN
ejpam-6099	108	15	β2	β2	PROPN
ejpam-6099	108	16	>	>	X
ejpam-6099	108	17	y.	y.	PROPN
ejpam-6099	108	18	theorem	theorem	VERB
ejpam-6099	108	19	3	3	X
ejpam-6099	108	20	.	.	PUNCT
ejpam-6099	109	1	let	let	VERB
ejpam-6099	109	2	0	0	NUM
ejpam-6099	109	3	<	<	X
ejpam-6099	109	4	β1	β1	PROPN
ejpam-6099	109	5	,	,	PUNCT
ejpam-6099	109	6	β2	β2	VERB
ejpam-6099	109	7	≤	≤	NOUN
ejpam-6099	109	8	1	1	NUM
ejpam-6099	109	9	and	and	CCONJ
ejpam-6099	109	10	s(ξ	s(ξ	PROPN
ejpam-6099	109	11	,	,	PUNCT
ejpam-6099	109	12	ρ	ρ	NOUN
ejpam-6099	109	13	)	)	PUNCT
ejpam-6099	109	14	be	be	VERB
ejpam-6099	109	15	a	a	DET
ejpam-6099	109	16	continuous	continuous	ADJ
ejpam-6099	109	17	function	function	NOUN
ejpam-6099	109	18	on	on	ADP
ejpam-6099	109	19	the	the	DET
ejpam-6099	109	20	region	region	NOUN
ejpam-6099	109	21	(	(	PUNCT
ejpam-6099	109	22	0,∞)×	0,∞)×	NUM
ejpam-6099	109	23	(	(	PUNCT
ejpam-6099	109	24	0,∞	0,∞	NOUN
ejpam-6099	109	25	)	)	PUNCT
ejpam-6099	109	26	of	of	ADP
ejpam-6099	109	27	conformable	conformable	ADJ
ejpam-6099	109	28	exponential	exponential	ADJ
ejpam-6099	109	29	orders	order	NOUN
ejpam-6099	109	30	λ	λ	PROPN
ejpam-6099	109	31	and	and	CCONJ
ejpam-6099	109	32	ν	ν	NOUN
ejpam-6099	109	33	.	.	PUNCT
ejpam-6099	110	1	then	then	ADV
ejpam-6099	110	2	s(ψ	s(ψ	PROPN
ejpam-6099	110	3	,	,	PUNCT
ejpam-6099	110	4	κ	κ	NOUN
ejpam-6099	110	5	)	)	PUNCT
ejpam-6099	110	6	=	=	SYM
ejpam-6099	110	7	aβ1ξ	aβ1ξ	PROPN
ejpam-6099	110	8	w	w	NOUN
ejpam-6099	110	9	β2	β2	PROPN
ejpam-6099	110	10	ρ	ρ	PROPN
ejpam-6099	110	11	[	[	X
ejpam-6099	110	12	s(ξ	s(ξ	PROPN
ejpam-6099	110	13	,	,	PUNCT
ejpam-6099	110	14	ρ	ρ	NOUN
ejpam-6099	110	15	)	)	PUNCT
ejpam-6099	110	16	]	]	PUNCT
ejpam-6099	110	17	exists	exist	VERB
ejpam-6099	110	18	for	for	ADP
ejpam-6099	110	19	ψ	ψ	NOUN
ejpam-6099	110	20	,	,	PUNCT
ejpam-6099	110	21	κ	κ	X
ejpam-6099	110	22	whenever	whenever	SCONJ
ejpam-6099	110	23	re	re	ADJ
ejpam-6099	110	24	(	(	PUNCT
ejpam-6099	110	25	ψ	ψ	NOUN
ejpam-6099	110	26	)	)	PUNCT
ejpam-6099	110	27	>	>	PUNCT
ejpam-6099	111	1	λ	λ	PROPN
ejpam-6099	111	2	and	and	CCONJ
ejpam-6099	111	3	re	re	PRON
ejpam-6099	111	4	(	(	PUNCT
ejpam-6099	111	5	1	1	NUM
ejpam-6099	111	6	κ	κ	NOUN
ejpam-6099	111	7	)	)	PUNCT
ejpam-6099	111	8	>	>	X
ejpam-6099	112	1	ν	ν	X
ejpam-6099	112	2	.	.	PUNCT
ejpam-6099	112	3	proof	proof	NOUN
ejpam-6099	112	4	.	.	PUNCT
ejpam-6099	113	1	we	we	PRON
ejpam-6099	113	2	have	have	VERB
ejpam-6099	113	3	|s(ψ	|s(ψ	PROPN
ejpam-6099	113	4	,	,	PUNCT
ejpam-6099	113	5	κ)|	κ)|	NOUN
ejpam-6099	113	6	=	=	PUNCT
ejpam-6099	113	7	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ejpam-6099	113	8	ψκ2	ψκ2	PROPN
ejpam-6099	113	9	∞∫	∞∫	PROPN
ejpam-6099	113	10	0	0	NUM
ejpam-6099	114	1	∞∫	∞∫	NOUN
ejpam-6099	114	2	0	0	PUNCT
ejpam-6099	115	1	e	e	X
ejpam-6099	115	2	−	−	PROPN
ejpam-6099	115	3	(	(	PUNCT
ejpam-6099	115	4	ψ	ψ	NOUN
ejpam-6099	115	5	ξβ1	ξβ1	NOUN
ejpam-6099	115	6	β1	β1	NOUN
ejpam-6099	115	7	+	+	CCONJ
ejpam-6099	115	8	ρβ2	ρβ2	NOUN
ejpam-6099	115	9	κβ2	κβ2	NOUN
ejpam-6099	115	10	)	)	PUNCT
ejpam-6099	115	11	s(ξ	s(ξ	PROPN
ejpam-6099	115	12	,	,	PUNCT
ejpam-6099	115	13	ρ)ξβ1−1ρβ2−1	ρ)ξβ1−1ρβ2−1	ADP
ejpam-6099	115	14	dξdρ	dξdρ	NOUN
ejpam-6099	115	15	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ejpam-6099	115	16	≤	≤	PROPN
ejpam-6099	115	17	ψ	ψ	SYM
ejpam-6099	115	18	κ2	κ2	PROPN
ejpam-6099	115	19	∞∫	∞∫	PROPN
ejpam-6099	115	20	0	0	NUM
ejpam-6099	116	1	∞∫	∞∫	NOUN
ejpam-6099	116	2	0	0	PUNCT
ejpam-6099	117	1	e	e	X
ejpam-6099	117	2	−	−	PROPN
ejpam-6099	117	3	(	(	PUNCT
ejpam-6099	117	4	ψ	ψ	NOUN
ejpam-6099	117	5	ξβ1	ξβ1	NOUN
ejpam-6099	117	6	β1	β1	NOUN
ejpam-6099	117	7	+	+	CCONJ
ejpam-6099	117	8	ρβ2	ρβ2	NOUN
ejpam-6099	117	9	κβ2	κβ2	NOUN
ejpam-6099	117	10	)	)	PUNCT
ejpam-6099	117	11	|s(ξ	|s(ξ	PROPN
ejpam-6099	117	12	,	,	PUNCT
ejpam-6099	117	13	ρ)|	ρ)|	NOUN
ejpam-6099	117	14	ξβ1−1ρβ2−1dξdρ	ξβ1−1ρβ2−1dξdρ	PROPN
ejpam-6099	117	15	≤	≤	PROPN
ejpam-6099	117	16	k	k	PROPN
ejpam-6099	117	17	ψ	ψ	PROPN
ejpam-6099	117	18	κ2	κ2	PROPN
ejpam-6099	117	19	∞∫	∞∫	PROPN
ejpam-6099	117	20	0	0	NUM
ejpam-6099	118	1	∞∫	∞∫	NOUN
ejpam-6099	118	2	0	0	PUNCT
ejpam-6099	119	1	e	e	X
ejpam-6099	119	2	−	−	PROPN
ejpam-6099	119	3	(	(	PUNCT
ejpam-6099	119	4	ψ	ψ	NOUN
ejpam-6099	119	5	ξβ1	ξβ1	NOUN
ejpam-6099	119	6	β1	β1	NOUN
ejpam-6099	119	7	+	+	CCONJ
ejpam-6099	119	8	ρβ2	ρβ2	NOUN
ejpam-6099	119	9	κβ2	κβ2	NOUN
ejpam-6099	119	10	)	)	PUNCT
ejpam-6099	119	11	e	e	X
ejpam-6099	119	12	λ	λ	VERB
ejpam-6099	119	13	ξβ1	ξβ1	PRON
ejpam-6099	119	14	β1	β1	NOUN
ejpam-6099	119	15	+	+	NOUN
ejpam-6099	119	16	ν	ν	X
ejpam-6099	119	17	ρβ2	ρβ2	NOUN
ejpam-6099	119	18	β2	β2	NOUN
ejpam-6099	119	19	ξβ1−1ρβ2−1dξdρ	ξβ1−1ρβ2−1dξdρ	PROPN
ejpam-6099	119	20	m.	m.	NOUN
ejpam-6099	119	21	al	al	PROPN
ejpam-6099	119	22	-	-	PUNCT
ejpam-6099	119	23	momani	momani	X
ejpam-6099	119	24	et	et	PROPN
ejpam-6099	119	25	al	al	PROPN
ejpam-6099	119	26	.	.	PUNCT
ejpam-6099	119	27	/	/	SYM
ejpam-6099	119	28	eur	eur	PROPN
ejpam-6099	119	29	.	.	PUNCT
ejpam-6099	120	1	j.	j.	PROPN
ejpam-6099	120	2	pure	pure	PROPN
ejpam-6099	120	3	appl	appl	PROPN
ejpam-6099	120	4	.	.	PROPN
ejpam-6099	120	5	math	math	PROPN
ejpam-6099	120	6	,	,	PUNCT
ejpam-6099	120	7	18	18	NUM
ejpam-6099	120	8	(	(	PUNCT
ejpam-6099	120	9	2	2	NUM
ejpam-6099	120	10	)	)	PUNCT
ejpam-6099	120	11	(	(	PUNCT
ejpam-6099	120	12	2025	2025	NUM
ejpam-6099	120	13	)	)	PUNCT
ejpam-6099	120	14	,	,	PUNCT
ejpam-6099	120	15	6099	6099	NUM
ejpam-6099	120	16	6	6	NUM
ejpam-6099	120	17	of	of	ADP
ejpam-6099	120	18	15	15	NUM
ejpam-6099	120	19	=	=	SYM
ejpam-6099	120	20	k	k	NOUN
ejpam-6099	120	21	ψ∞∫	ψ∞∫	NOUN
ejpam-6099	120	22	0	0	NUM
ejpam-6099	120	23	e	e	NOUN
ejpam-6099	120	24	−(ψ−λ	−(ψ−λ	X
ejpam-6099	120	25	)	)	PUNCT
ejpam-6099	121	1	ξ	ξ	PROPN
ejpam-6099	121	2	β1	β1	PROPN
ejpam-6099	121	3	β1	β1	PROPN
ejpam-6099	121	4	ξβ1−1dξ	ξβ1−1dξ	PROPN
ejpam-6099	121	5			PROPN
ejpam-6099	122	1	1	1	NUM
ejpam-6099	122	2	κ2	κ2	PROPN
ejpam-6099	122	3	∞∫	∞∫	PROPN
ejpam-6099	122	4	0	0	PUNCT
ejpam-6099	123	1	e	e	X
ejpam-6099	123	2	−	−	PROPN
ejpam-6099	123	3	(	(	PUNCT
ejpam-6099	123	4	1	1	NUM
ejpam-6099	123	5	κ−ν	κ−ν	ADJ
ejpam-6099	123	6	)	)	PUNCT
ejpam-6099	123	7	ρ	ρ	PROPN
ejpam-6099	123	8	β2	β2	PROPN
ejpam-6099	123	9	β2	β2	VERB
ejpam-6099	123	10	ρβ2−1dρ	ρβ2−1dρ	ADV
ejpam-6099	123	11			PROPN
ejpam-6099	124	1	=	=	PUNCT
ejpam-6099	124	2	kψ	kψ	PROPN
ejpam-6099	124	3	κ	κ	X
ejpam-6099	124	4	(	(	PUNCT
ejpam-6099	124	5	ψ	ψ	X
ejpam-6099	124	6	−	−	PROPN
ejpam-6099	124	7	λ	λ	NOUN
ejpam-6099	124	8	)	)	PUNCT
ejpam-6099	124	9	(	(	PUNCT
ejpam-6099	124	10	1−	1−	NUM
ejpam-6099	124	11	νκ	νκ	NOUN
ejpam-6099	124	12	)	)	PUNCT
ejpam-6099	124	13	,	,	PUNCT
ejpam-6099	124	14	where	where	SCONJ
ejpam-6099	124	15	re	re	X
ejpam-6099	124	16	(	(	PUNCT
ejpam-6099	124	17	ψ	ψ	NOUN
ejpam-6099	124	18	)	)	PUNCT
ejpam-6099	124	19	>	>	PUNCT
ejpam-6099	125	1	λ	λ	PROPN
ejpam-6099	125	2	and	and	CCONJ
ejpam-6099	125	3	re	re	PRON
ejpam-6099	125	4	(	(	PUNCT
ejpam-6099	125	5	1	1	NUM
ejpam-6099	125	6	κ	κ	NOUN
ejpam-6099	125	7	)	)	PUNCT
ejpam-6099	125	8	>	>	PUNCT
ejpam-6099	126	1	ν	ν	X
ejpam-6099	126	2	.	.	PROPN
ejpam-6099	126	3	3.3	3.3	NUM
ejpam-6099	126	4	.	.	PUNCT
ejpam-6099	127	1	derivatives	derivative	NOUN
ejpam-6099	127	2	properties	property	NOUN
ejpam-6099	127	3	now	now	ADV
ejpam-6099	127	4	,	,	PUNCT
ejpam-6099	127	5	we	we	PRON
ejpam-6099	127	6	present	present	VERB
ejpam-6099	127	7	some	some	DET
ejpam-6099	127	8	basic	basic	ADJ
ejpam-6099	127	9	properties	property	NOUN
ejpam-6099	127	10	of	of	ADP
ejpam-6099	127	11	the	the	DET
ejpam-6099	127	12	ca	ca	NOUN
ejpam-6099	127	13	-	-	PUNCT
ejpam-6099	127	14	sw	sw	PROPN
ejpam-6099	127	15	let	let	VERB
ejpam-6099	127	16	s(ψ	s(ψ	PROPN
ejpam-6099	127	17	,	,	PUNCT
ejpam-6099	127	18	κ	κ	NOUN
ejpam-6099	127	19	)	)	PUNCT
ejpam-6099	127	20	=	=	SYM
ejpam-6099	127	21	aβ1ξ	aβ1ξ	PROPN
ejpam-6099	127	22	w	w	NUM
ejpam-6099	127	23	β2	β2	PROPN
ejpam-6099	127	24	ρ	ρ	PROPN
ejpam-6099	127	25	(	(	PUNCT
ejpam-6099	127	26	s(ξ	s(ξ	PROPN
ejpam-6099	127	27	,	,	PUNCT
ejpam-6099	127	28	ρ	ρ	NOUN
ejpam-6099	127	29	)	)	PUNCT
ejpam-6099	127	30	)	)	PUNCT
ejpam-6099	127	31	where	where	SCONJ
ejpam-6099	127	32	s(ξ	s(ξ	PROPN
ejpam-6099	127	33	,	,	PUNCT
ejpam-6099	127	34	ρ	ρ	NOUN
ejpam-6099	127	35	)	)	PUNCT
ejpam-6099	127	36	is	be	AUX
ejpam-6099	127	37	a	a	DET
ejpam-6099	127	38	continuous	continuous	ADJ
ejpam-6099	127	39	function	function	NOUN
ejpam-6099	127	40	on	on	ADP
ejpam-6099	127	41	(	(	PUNCT
ejpam-6099	127	42	0,∞	0,∞	NOUN
ejpam-6099	127	43	)	)	PUNCT
ejpam-6099	127	44	×	×	NOUN
ejpam-6099	127	45	(	(	PUNCT
ejpam-6099	127	46	0,∞	0,∞	NUM
ejpam-6099	127	47	)	)	PUNCT
ejpam-6099	127	48	.	.	PUNCT
ejpam-6099	128	1	then	then	ADV
ejpam-6099	128	2	(	(	PUNCT
ejpam-6099	128	3	i	i	NOUN
ejpam-6099	128	4	)	)	PUNCT
ejpam-6099	128	5	aβ1ξ	aβ1ξ	PROPN
ejpam-6099	128	6	w	w	PROPN
ejpam-6099	128	7	β2	β2	PROPN
ejpam-6099	128	8	ρ	ρ	PROPN
ejpam-6099	128	9	(	(	PUNCT
ejpam-6099	128	10	∂β1s(ξ	∂β1s(ξ	ADJ
ejpam-6099	128	11	,	,	PUNCT
ejpam-6099	128	12	ρ	ρ	NOUN
ejpam-6099	128	13	)	)	PUNCT
ejpam-6099	128	14	∂ξβ1	∂ξβ1	NUM
ejpam-6099	128	15	)	)	PUNCT
ejpam-6099	128	16	=	=	SYM
ejpam-6099	128	17	ψs(ψ	ψs(ψ	NOUN
ejpam-6099	128	18	,	,	PUNCT
ejpam-6099	128	19	κ)−	κ)−	PROPN
ejpam-6099	128	20	ψw	ψw	PROPN
ejpam-6099	128	21	β2	β2	PROPN
ejpam-6099	128	22	ρ	ρ	PROPN
ejpam-6099	128	23	(	(	PUNCT
ejpam-6099	128	24	s(0	s(0	PROPN
ejpam-6099	128	25	,	,	PUNCT
ejpam-6099	128	26	ρ	ρ	NOUN
ejpam-6099	128	27	)	)	PUNCT
ejpam-6099	128	28	)	)	PUNCT
ejpam-6099	128	29	,	,	PUNCT
ejpam-6099	128	30	(	(	PUNCT
ejpam-6099	128	31	1	1	X
ejpam-6099	128	32	)	)	PUNCT
ejpam-6099	128	33	(	(	PUNCT
ejpam-6099	128	34	ii	ii	NOUN
ejpam-6099	128	35	)	)	PUNCT
ejpam-6099	128	36	aβ1ξ	aβ1ξ	PROPN
ejpam-6099	128	37	w	w	PROPN
ejpam-6099	128	38	β2	β2	PROPN
ejpam-6099	128	39	ρ	ρ	PROPN
ejpam-6099	128	40	(	(	PUNCT
ejpam-6099	128	41	∂2β1s(ξ	∂2β1s(ξ	PROPN
ejpam-6099	128	42	,	,	PUNCT
ejpam-6099	128	43	ρ	ρ	PROPN
ejpam-6099	128	44	)	)	PUNCT
ejpam-6099	128	45	∂ξ2β1	∂ξ2β1	NOUN
ejpam-6099	128	46	)	)	PUNCT
ejpam-6099	129	1	=	=	SYM
ejpam-6099	129	2	ψ2s(ψ	ψ2s(ψ	PROPN
ejpam-6099	129	3	,	,	PUNCT
ejpam-6099	129	4	κ)−	κ)−	PROPN
ejpam-6099	129	5	ψ2w	ψ2w	PUNCT
ejpam-6099	129	6	β2	β2	PROPN
ejpam-6099	129	7	ρ	ρ	PROPN
ejpam-6099	129	8	(	(	PUNCT
ejpam-6099	129	9	s(0	s(0	PROPN
ejpam-6099	129	10	,	,	PUNCT
ejpam-6099	129	11	ρ))−	ρ))−	NOUN
ejpam-6099	129	12	ψw	ψw	PRON
ejpam-6099	129	13	β2	β2	NOUN
ejpam-6099	129	14	ρ	ρ	PROPN
ejpam-6099	129	15	(	(	PUNCT
ejpam-6099	129	16	∂β1s(0	∂β1s(0	PROPN
ejpam-6099	129	17	,	,	PUNCT
ejpam-6099	129	18	ρ	ρ	NOUN
ejpam-6099	129	19	)	)	PUNCT
ejpam-6099	129	20	∂ξβ1	∂ξβ1	NUM
ejpam-6099	129	21	)	)	PUNCT
ejpam-6099	129	22	,	,	PUNCT
ejpam-6099	129	23	(	(	PUNCT
ejpam-6099	129	24	2	2	X
ejpam-6099	129	25	)	)	PUNCT
ejpam-6099	129	26	(	(	PUNCT
ejpam-6099	129	27	iii	iii	NOUN
ejpam-6099	129	28	)	)	PUNCT
ejpam-6099	129	29	aβ1ξ	aβ1ξ	PROPN
ejpam-6099	129	30	w	w	PROPN
ejpam-6099	129	31	β2	β2	PROPN
ejpam-6099	129	32	ρ	ρ	PROPN
ejpam-6099	129	33	(	(	PUNCT
ejpam-6099	129	34	∂β2s(ξ	∂β2s(ξ	PROPN
ejpam-6099	129	35	,	,	PUNCT
ejpam-6099	129	36	ρ	ρ	NOUN
ejpam-6099	129	37	)	)	PUNCT
ejpam-6099	129	38	∂ρβ2	∂ρβ2	NOUN
ejpam-6099	129	39	)	)	PUNCT
ejpam-6099	129	40	=	=	SYM
ejpam-6099	130	1	1	1	NUM
ejpam-6099	130	2	κ	κ	PRON
ejpam-6099	130	3	s(ψ	s(ψ	PROPN
ejpam-6099	130	4	,	,	PUNCT
ejpam-6099	130	5	κ)−	κ)−	PROPN
ejpam-6099	130	6	1	1	NUM
ejpam-6099	130	7	κ2	κ2	NOUN
ejpam-6099	130	8	aβ1ξ	aβ1ξ	PROPN
ejpam-6099	130	9	(	(	PUNCT
ejpam-6099	130	10	s(ξ	s(ξ	PROPN
ejpam-6099	130	11	,	,	PUNCT
ejpam-6099	130	12	0	0	NUM
ejpam-6099	130	13	)	)	PUNCT
ejpam-6099	130	14	)	)	PUNCT
ejpam-6099	130	15	,	,	PUNCT
ejpam-6099	130	16	(	(	PUNCT
ejpam-6099	130	17	3	3	X
ejpam-6099	130	18	)	)	PUNCT
ejpam-6099	130	19	(	(	PUNCT
ejpam-6099	130	20	iv	iv	X
ejpam-6099	130	21	)	)	PUNCT
ejpam-6099	130	22	aβ1ξ	aβ1ξ	PROPN
ejpam-6099	130	23	w	w	PROPN
ejpam-6099	130	24	β2	β2	PROPN
ejpam-6099	130	25	ρ	ρ	PROPN
ejpam-6099	130	26	(	(	PUNCT
ejpam-6099	130	27	∂2β2s(ξ	∂2β2s(ξ	PROPN
ejpam-6099	130	28	,	,	PUNCT
ejpam-6099	130	29	ρ	ρ	NOUN
ejpam-6099	130	30	)	)	PUNCT
ejpam-6099	130	31	∂ρ2β2	∂ρ2β2	NOUN
ejpam-6099	130	32	)	)	PUNCT
ejpam-6099	130	33	=	=	SYM
ejpam-6099	130	34	1	1	NUM
ejpam-6099	130	35	κ2	κ2	PROPN
ejpam-6099	130	36	s(ψ	s(ψ	PROPN
ejpam-6099	130	37	,	,	PUNCT
ejpam-6099	130	38	κ)−	κ)−	PROPN
ejpam-6099	130	39	1	1	NUM
ejpam-6099	130	40	κ3	κ3	PROPN
ejpam-6099	130	41	aβ1ξ	aβ1ξ	PROPN
ejpam-6099	130	42	(	(	PUNCT
ejpam-6099	130	43	s(ξ	s(ξ	PROPN
ejpam-6099	130	44	,	,	PUNCT
ejpam-6099	130	45	0))−	0))−	NUM
ejpam-6099	130	46	1	1	NUM
ejpam-6099	130	47	κ2	κ2	NOUN
ejpam-6099	130	48	aβ1ξ	aβ1ξ	PROPN
ejpam-6099	130	49	(	(	PUNCT
ejpam-6099	130	50	∂β2s(ξ	∂β2s(ξ	PROPN
ejpam-6099	130	51	,	,	PUNCT
ejpam-6099	130	52	0	0	NUM
ejpam-6099	130	53	)	)	PUNCT
ejpam-6099	130	54	∂ρβ2	∂ρβ2	NOUN
ejpam-6099	130	55	)	)	PUNCT
ejpam-6099	130	56	.	.	PUNCT
ejpam-6099	131	1	(	(	PUNCT
ejpam-6099	131	2	4	4	X
ejpam-6099	131	3	)	)	PUNCT
ejpam-6099	131	4	proof	proof	NOUN
ejpam-6099	131	5	.	.	PUNCT
ejpam-6099	132	1	proof	proof	NOUN
ejpam-6099	132	2	of	of	ADP
ejpam-6099	132	3	equation	equation	NOUN
ejpam-6099	132	4	1aβ1ξ	1aβ1ξ	NUM
ejpam-6099	132	5	w	w	PROPN
ejpam-6099	132	6	β2	β2	PROPN
ejpam-6099	132	7	ρ	ρ	PROPN
ejpam-6099	132	8	(	(	PUNCT
ejpam-6099	132	9	∂β1s(ξ	∂β1s(ξ	ADJ
ejpam-6099	132	10	,	,	PUNCT
ejpam-6099	132	11	ρ	ρ	NOUN
ejpam-6099	132	12	)	)	PUNCT
ejpam-6099	132	13	∂ξβ1	∂ξβ1	NUM
ejpam-6099	132	14	)	)	PUNCT
ejpam-6099	132	15	=	=	SYM
ejpam-6099	132	16	ψ	ψ	SYM
ejpam-6099	132	17	κ2	κ2	PROPN
ejpam-6099	132	18	∞∫	∞∫	PROPN
ejpam-6099	132	19	0	0	NUM
ejpam-6099	133	1	∞∫	∞∫	NOUN
ejpam-6099	133	2	0	0	PUNCT
ejpam-6099	134	1	e	e	X
ejpam-6099	134	2	−	−	PROPN
ejpam-6099	134	3	(	(	PUNCT
ejpam-6099	134	4	ψ	ψ	NOUN
ejpam-6099	134	5	ξβ1	ξβ1	NOUN
ejpam-6099	134	6	β1	β1	NOUN
ejpam-6099	134	7	+	+	CCONJ
ejpam-6099	134	8	ρβ2	ρβ2	NOUN
ejpam-6099	134	9	κβ2	κβ2	NOUN
ejpam-6099	134	10	)	)	PUNCT
ejpam-6099	134	11	∂β1s(ξ	∂β1s(ξ	ADJ
ejpam-6099	134	12	,	,	PUNCT
ejpam-6099	134	13	ρ	ρ	NOUN
ejpam-6099	134	14	)	)	PUNCT
ejpam-6099	134	15	∂ξβ1	∂ξβ1	NUM
ejpam-6099	134	16	ξβ1−1ρβ2−1dξdρ	ξβ1−1ρβ2−1dξdρ	PROPN
ejpam-6099	134	17	.	.	PUNCT
ejpam-6099	135	1	by	by	ADP
ejpam-6099	135	2	theorem	theorem	NOUN
ejpam-6099	135	3	1	1	NUM
ejpam-6099	135	4	,	,	PUNCT
ejpam-6099	135	5	we	we	PRON
ejpam-6099	135	6	have	have	VERB
ejpam-6099	135	7	∂β1s(ξ	∂β1s(ξ	ADJ
ejpam-6099	135	8	,	,	PUNCT
ejpam-6099	135	9	ρ	ρ	NOUN
ejpam-6099	135	10	)	)	PUNCT
ejpam-6099	135	11	∂ξβ1	∂ξβ1	NOUN
ejpam-6099	135	12	=	=	SYM
ejpam-6099	135	13	ξ1−β1	ξ1−β1	NUM
ejpam-6099	135	14	∂s(ξ	∂s(ξ	NOUN
ejpam-6099	135	15	,	,	PUNCT
ejpam-6099	135	16	ρ)∂ξ	ρ)∂ξ	NOUN
ejpam-6099	135	17	.	.	PUNCT
ejpam-6099	136	1	so	so	ADV
ejpam-6099	136	2	,	,	PUNCT
ejpam-6099	136	3	aβ1ξ	aβ1ξ	PROPN
ejpam-6099	136	4	w	w	PROPN
ejpam-6099	136	5	β2	β2	PROPN
ejpam-6099	136	6	ρ	ρ	PROPN
ejpam-6099	136	7	(	(	PUNCT
ejpam-6099	136	8	∂β1s(ξ	∂β1s(ξ	ADJ
ejpam-6099	136	9	,	,	PUNCT
ejpam-6099	136	10	ρ	ρ	NOUN
ejpam-6099	136	11	)	)	PUNCT
ejpam-6099	136	12	∂ξβ1	∂ξβ1	NUM
ejpam-6099	136	13	)	)	PUNCT
ejpam-6099	136	14	=	=	SYM
ejpam-6099	136	15	ψ	ψ	SYM
ejpam-6099	136	16	κ2	κ2	PROPN
ejpam-6099	136	17	∞∫	∞∫	PROPN
ejpam-6099	136	18	0	0	PUNCT
ejpam-6099	137	1	e	e	NOUN
ejpam-6099	137	2	−	−	PROPN
ejpam-6099	137	3	ρβ2	ρβ2	NOUN
ejpam-6099	137	4	κβ2	κβ2	NOUN
ejpam-6099	137	5	ρβ2−1	ρβ2−1	NOUN
ejpam-6099	137	6	∞∫	∞∫	PROPN
ejpam-6099	137	7	0	0	NUM
ejpam-6099	137	8	e	e	NOUN
ejpam-6099	137	9	−ψ	−ψ	VERB
ejpam-6099	137	10	ξβ1	ξβ1	PROPN
ejpam-6099	137	11	β1	β1	PROPN
ejpam-6099	137	12	∂s(ξ	∂s(ξ	PROPN
ejpam-6099	137	13	,	,	PUNCT
ejpam-6099	137	14	ρ	ρ	NOUN
ejpam-6099	137	15	)	)	PUNCT
ejpam-6099	137	16	∂ξ	∂ξ	NOUN
ejpam-6099	137	17	dξdρ	dξdρ	NOUN
ejpam-6099	137	18	.	.	PUNCT
ejpam-6099	138	1	by	by	ADP
ejpam-6099	138	2	integrating	integrate	VERB
ejpam-6099	138	3	by	by	ADP
ejpam-6099	138	4	parts	part	NOUN
ejpam-6099	138	5	,	,	PUNCT
ejpam-6099	138	6	we	we	PRON
ejpam-6099	138	7	get	get	VERB
ejpam-6099	138	8	aβ1ξ	aβ1ξ	PROPN
ejpam-6099	138	9	w	w	PROPN
ejpam-6099	138	10	β2	β2	PROPN
ejpam-6099	138	11	ρ	ρ	PROPN
ejpam-6099	138	12	(	(	PUNCT
ejpam-6099	138	13	∂β1s(ξ	∂β1s(ξ	ADJ
ejpam-6099	138	14	,	,	PUNCT
ejpam-6099	138	15	ρ	ρ	NOUN
ejpam-6099	138	16	)	)	PUNCT
ejpam-6099	138	17	∂ξβ1	∂ξβ1	NUM
ejpam-6099	138	18	)	)	PUNCT
ejpam-6099	139	1	=	=	SYM
ejpam-6099	139	2	ψ	ψ	SYM
ejpam-6099	139	3	κ2	κ2	PROPN
ejpam-6099	139	4	∞∫	∞∫	PROPN
ejpam-6099	139	5	0	0	PUNCT
ejpam-6099	140	1	e	e	NOUN
ejpam-6099	140	2	−	−	PROPN
ejpam-6099	140	3	ρβ2	ρβ2	NOUN
ejpam-6099	140	4	κβ2	κβ2	NOUN
ejpam-6099	140	5	ρβ2−1	ρβ2−1	NOUN
ejpam-6099	140	6	(	(	PUNCT
ejpam-6099	140	7	−s(0	−s(0	PROPN
ejpam-6099	140	8	,	,	PUNCT
ejpam-6099	140	9	ρ	ρ	NOUN
ejpam-6099	140	10	)	)	PUNCT
ejpam-6099	140	11	+	+	NUM
ejpam-6099	140	12	ψ	ψ	X
ejpam-6099	140	13	∞∫	∞∫	NOUN
ejpam-6099	140	14	0	0	NUM
ejpam-6099	140	15	e	e	NOUN
ejpam-6099	140	16	−ψ	−ψ	VERB
ejpam-6099	140	17	ξβ1	ξβ1	PROPN
ejpam-6099	141	1	β1	β1	PROPN
ejpam-6099	142	1	s(ξ	s(ξ	PROPN
ejpam-6099	142	2	,	,	PUNCT
ejpam-6099	143	1	ρ)ξβ1−1	ρ)ξβ1−1	NUM
ejpam-6099	143	2	dξ	dξ	PROPN
ejpam-6099	143	3	)	)	PUNCT
ejpam-6099	143	4	dρ	dρ	PROPN
ejpam-6099	143	5	m.	m.	NOUN
ejpam-6099	143	6	al	al	PROPN
ejpam-6099	143	7	-	-	PUNCT
ejpam-6099	143	8	momani	momani	X
ejpam-6099	143	9	et	et	PROPN
ejpam-6099	143	10	al	al	PROPN
ejpam-6099	143	11	.	.	PUNCT
ejpam-6099	143	12	/	/	SYM
ejpam-6099	143	13	eur	eur	PROPN
ejpam-6099	143	14	.	.	PUNCT
ejpam-6099	144	1	j.	j.	PROPN
ejpam-6099	144	2	pure	pure	PROPN
ejpam-6099	144	3	appl	appl	PROPN
ejpam-6099	144	4	.	.	PROPN
ejpam-6099	144	5	math	math	PROPN
ejpam-6099	144	6	,	,	PUNCT
ejpam-6099	144	7	18	18	NUM
ejpam-6099	144	8	(	(	PUNCT
ejpam-6099	144	9	2	2	NUM
ejpam-6099	144	10	)	)	PUNCT
ejpam-6099	144	11	(	(	PUNCT
ejpam-6099	144	12	2025	2025	NUM
ejpam-6099	144	13	)	)	PUNCT
ejpam-6099	144	14	,	,	PUNCT
ejpam-6099	144	15	6099	6099	NUM
ejpam-6099	144	16	7	7	NUM
ejpam-6099	144	17	of	of	ADP
ejpam-6099	144	18	15	15	NUM
ejpam-6099	144	19	=	=	SYM
ejpam-6099	144	20	−	−	PROPN
ejpam-6099	144	21	ψ	ψ	SYM
ejpam-6099	144	22	κ2	κ2	PROPN
ejpam-6099	144	23	∞∫	∞∫	PROPN
ejpam-6099	144	24	0	0	PUNCT
ejpam-6099	145	1	e	e	NOUN
ejpam-6099	145	2	−	−	PROPN
ejpam-6099	145	3	ρβ2	ρβ2	NOUN
ejpam-6099	145	4	κβ2	κβ2	NOUN
ejpam-6099	145	5	s(0	s(0	PROPN
ejpam-6099	145	6	,	,	PUNCT
ejpam-6099	145	7	ρ)ρβ2−1dρ+	ρ)ρβ2−1dρ+	NUM
ejpam-6099	145	8	ψ2	ψ2	NOUN
ejpam-6099	145	9	κ2	κ2	NOUN
ejpam-6099	145	10	∞∫	∞∫	PROPN
ejpam-6099	145	11	0	0	NUM
ejpam-6099	146	1	∞∫	∞∫	NOUN
ejpam-6099	146	2	0	0	PUNCT
ejpam-6099	147	1	e	e	X
ejpam-6099	147	2	−	−	PROPN
ejpam-6099	147	3	(	(	PUNCT
ejpam-6099	147	4	ψ	ψ	NOUN
ejpam-6099	147	5	ξβ1	ξβ1	NOUN
ejpam-6099	147	6	β1	β1	NOUN
ejpam-6099	147	7	+	+	CCONJ
ejpam-6099	147	8	ρβ2	ρβ2	NOUN
ejpam-6099	147	9	κβ2	κβ2	NOUN
ejpam-6099	147	10	)	)	PUNCT
ejpam-6099	147	11	s(ξ	s(ξ	PROPN
ejpam-6099	147	12	,	,	PUNCT
ejpam-6099	147	13	ρ)ξβ1−1ρβ2−1dξdρ	ρ)ξβ1−1ρβ2−1dξdρ	NOUN
ejpam-6099	147	14	=	=	SYM
ejpam-6099	147	15	ψs(ψ	ψs(ψ	NOUN
ejpam-6099	147	16	,	,	PUNCT
ejpam-6099	147	17	κ)−	κ)−	PROPN
ejpam-6099	147	18	ψw	ψw	PROPN
ejpam-6099	147	19	β2	β2	PROPN
ejpam-6099	147	20	ρ	ρ	PROPN
ejpam-6099	147	21	(	(	PUNCT
ejpam-6099	147	22	s(0	s(0	PROPN
ejpam-6099	147	23	,	,	PUNCT
ejpam-6099	147	24	ρ	ρ	NOUN
ejpam-6099	147	25	)	)	PUNCT
ejpam-6099	147	26	)	)	PUNCT
ejpam-6099	147	27	.	.	PUNCT
ejpam-6099	148	1	the	the	DET
ejpam-6099	148	2	proof	proof	NOUN
ejpam-6099	148	3	of	of	ADP
ejpam-6099	148	4	equations	equation	NOUN
ejpam-6099	148	5	2	2	NUM
ejpam-6099	148	6	,	,	PUNCT
ejpam-6099	148	7	3	3	NUM
ejpam-6099	148	8	and	and	CCONJ
ejpam-6099	148	9	4	4	NUM
ejpam-6099	148	10	can	can	AUX
ejpam-6099	148	11	be	be	AUX
ejpam-6099	148	12	obtained	obtain	VERB
ejpam-6099	148	13	in	in	ADP
ejpam-6099	148	14	the	the	DET
ejpam-6099	148	15	same	same	ADJ
ejpam-6099	148	16	manner	manner	NOUN
ejpam-6099	148	17	.	.	PUNCT
ejpam-6099	149	1	in	in	ADP
ejpam-6099	149	2	table	table	NOUN
ejpam-6099	149	3	1	1	NUM
ejpam-6099	149	4	,	,	PUNCT
ejpam-6099	149	5	we	we	PRON
ejpam-6099	149	6	have	have	VERB
ejpam-6099	149	7	the	the	DET
ejpam-6099	149	8	ca	ca	NOUN
ejpam-6099	149	9	-	-	PUNCT
ejpam-6099	149	10	sw	sw	NOUN
ejpam-6099	149	11	of	of	ADP
ejpam-6099	149	12	some	some	DET
ejpam-6099	149	13	basic	basic	ADJ
ejpam-6099	149	14	functions	function	NOUN
ejpam-6099	149	15	.	.	PUNCT
ejpam-6099	150	1	table	table	NOUN
ejpam-6099	150	2	1	1	NUM
ejpam-6099	150	3	:	:	PUNCT
ejpam-6099	150	4	table	table	NOUN
ejpam-6099	150	5	of	of	ADP
ejpam-6099	150	6	ca	ca	NOUN
ejpam-6099	150	7	-	-	PUNCT
ejpam-6099	150	8	sw	sw	NOUN
ejpam-6099	150	9	s(ξ	s(ξ	PROPN
ejpam-6099	150	10	,	,	PUNCT
ejpam-6099	150	11	ρ	ρ	NOUN
ejpam-6099	150	12	)	)	PUNCT
ejpam-6099	150	13	aβ1ξ	aβ1ξ	PROPN
ejpam-6099	150	14	w	w	PROPN
ejpam-6099	150	15	β2	β2	PROPN
ejpam-6099	150	16	ρ	ρ	PROPN
ejpam-6099	150	17	(	(	PUNCT
ejpam-6099	150	18	s(ξ	s(ξ	PROPN
ejpam-6099	150	19	,	,	PUNCT
ejpam-6099	150	20	ρ	ρ	NOUN
ejpam-6099	150	21	)	)	PUNCT
ejpam-6099	150	22	)	)	PUNCT
ejpam-6099	151	1	c	c	PROPN
ejpam-6099	151	2	c	c	PROPN
ejpam-6099	151	3	κ	κ	PROPN
ejpam-6099	151	4	,	,	PUNCT
ejpam-6099	151	5	re(ψ	re(ψ	PROPN
ejpam-6099	151	6	)	)	PUNCT
ejpam-6099	151	7	>	>	X
ejpam-6099	152	1	0	0	NUM
ejpam-6099	152	2	(	(	PUNCT
ejpam-6099	152	3	ξβ1	ξβ1	PROPN
ejpam-6099	152	4	β1	β1	PROPN
ejpam-6099	152	5	)	)	PUNCT
ejpam-6099	153	1	λ	λ	PROPN
ejpam-6099	153	2	(	(	PUNCT
ejpam-6099	153	3	ρβ2	ρβ2	PROPN
ejpam-6099	153	4	β2	β2	NOUN
ejpam-6099	153	5	)	)	PUNCT
ejpam-6099	153	6	ν	ν	NOUN
ejpam-6099	153	7	κν−1	κν−1	ADJ
ejpam-6099	153	8	ψλ	ψλ	ADP
ejpam-6099	153	9	γ(λ+	γ(λ+	X
ejpam-6099	153	10	1)γ(ν	1)γ(ν	NUM
ejpam-6099	153	11	+	+	CCONJ
ejpam-6099	153	12	1	1	NUM
ejpam-6099	153	13	)	)	PUNCT
ejpam-6099	153	14	,	,	PUNCT
ejpam-6099	153	15	re(ψ	re(ψ	VERB
ejpam-6099	153	16	)	)	PUNCT
ejpam-6099	153	17	>	>	X
ejpam-6099	153	18	0	0	PUNCT
ejpam-6099	153	19	and	and	CCONJ
ejpam-6099	153	20	re(λ	re(λ	NUM
ejpam-6099	153	21	)	)	PUNCT
ejpam-6099	153	22	>	>	X
ejpam-6099	153	23	−1	−1	NOUN
ejpam-6099	154	1	e	e	X
ejpam-6099	154	2	λ	λ	VERB
ejpam-6099	154	3	ξβ1	ξβ1	NOUN
ejpam-6099	154	4	β1	β1	NOUN
ejpam-6099	154	5	+	+	PROPN
ejpam-6099	154	6	ν	ν	X
ejpam-6099	154	7	ρβ2	ρβ2	NOUN
ejpam-6099	154	8	β2	β2	NOUN
ejpam-6099	154	9	ψ	ψ	NOUN
ejpam-6099	154	10	κ(ψ−λ)(1−νκ	κ(ψ−λ)(1−νκ	NOUN
ejpam-6099	154	11	)	)	PUNCT
ejpam-6099	154	12	,	,	PUNCT
ejpam-6099	154	13	re(ψ	re(ψ	PROPN
ejpam-6099	154	14	)	)	PUNCT
ejpam-6099	154	15	>	>	X
ejpam-6099	154	16	re(λ	re(λ	NOUN
ejpam-6099	154	17	)	)	PUNCT
ejpam-6099	155	1	e	e	NOUN
ejpam-6099	155	2	i	i	PRON
ejpam-6099	155	3	(	(	PUNCT
ejpam-6099	155	4	λ	λ	INTJ
ejpam-6099	155	5	ξβ1	ξβ1	NOUN
ejpam-6099	155	6	β1	β1	NOUN
ejpam-6099	155	7	+	+	PROPN
ejpam-6099	155	8	ν	ν	X
ejpam-6099	155	9	ρβ2	ρβ2	NOUN
ejpam-6099	155	10	β2	β2	NOUN
ejpam-6099	155	11	)	)	PUNCT
ejpam-6099	155	12	iψ	iψ	PROPN
ejpam-6099	155	13	κ(ψ−iλ)(i+νκ	κ(ψ−iλ)(i+νκ	NOUN
ejpam-6099	155	14	)	)	PUNCT
ejpam-6099	155	15	,	,	PUNCT
ejpam-6099	155	16	im(λ	im(λ	NOUN
ejpam-6099	155	17	)	)	PUNCT
ejpam-6099	155	18	+	+	NUM
ejpam-6099	155	19	re(ψ	re(ψ	NOUN
ejpam-6099	155	20	)	)	PUNCT
ejpam-6099	155	21	>	>	SYM
ejpam-6099	155	22	0	0	NUM
ejpam-6099	155	23	sin	sin	NOUN
ejpam-6099	155	24	(	(	PUNCT
ejpam-6099	155	25	λ	λ	X
ejpam-6099	155	26	ξ	ξ	X
ejpam-6099	155	27	β1	β1	PROPN
ejpam-6099	155	28	β1	β1	PROPN
ejpam-6099	155	29	+	+	CCONJ
ejpam-6099	155	30	ν	ν	PROPN
ejpam-6099	155	31	ρ	ρ	PROPN
ejpam-6099	155	32	β2	β2	PROPN
ejpam-6099	155	33	β2	β2	PROPN
ejpam-6099	155	34	)	)	PUNCT
ejpam-6099	155	35	ψ(λ+ψκν	ψ(λ+ψκν	NOUN
ejpam-6099	155	36	)	)	PUNCT
ejpam-6099	155	37	κ(ψ2+λ2)(1+ν2κ2	κ(ψ2+λ2)(1+ν2κ2	NOUN
ejpam-6099	155	38	)	)	PUNCT
ejpam-6099	155	39	,	,	PUNCT
ejpam-6099	155	40	|im(λ)|	|im(λ)|	PROPN
ejpam-6099	155	41	<	<	X
ejpam-6099	155	42	re(ψ	re(ψ	PROPN
ejpam-6099	155	43	)	)	PUNCT
ejpam-6099	155	44	cos	cos	PROPN
ejpam-6099	155	45	(	(	PUNCT
ejpam-6099	155	46	λ	λ	X
ejpam-6099	155	47	ξ	ξ	X
ejpam-6099	155	48	β1	β1	PROPN
ejpam-6099	155	49	β1	β1	PROPN
ejpam-6099	155	50	+	+	CCONJ
ejpam-6099	155	51	ν	ν	PROPN
ejpam-6099	155	52	ρ	ρ	PROPN
ejpam-6099	155	53	β2	β2	PROPN
ejpam-6099	155	54	β2	β2	PROPN
ejpam-6099	155	55	)	)	PUNCT
ejpam-6099	155	56	ψ(ψ−κλν	ψ(ψ−κλν	NOUN
ejpam-6099	155	57	)	)	PUNCT
ejpam-6099	155	58	κ(ψ2+λ2)(1+ν2κ2	κ(ψ2+λ2)(1+ν2κ2	NOUN
ejpam-6099	155	59	)	)	PUNCT
ejpam-6099	155	60	,	,	PUNCT
ejpam-6099	155	61	|im(λ)|	|im(λ)|	PROPN
ejpam-6099	155	62	<	<	X
ejpam-6099	155	63	re(ψ	re(ψ	PROPN
ejpam-6099	155	64	)	)	PUNCT
ejpam-6099	155	65	sinh	sinh	NOUN
ejpam-6099	155	66	(	(	PUNCT
ejpam-6099	155	67	λ	λ	X
ejpam-6099	155	68	ξ	ξ	X
ejpam-6099	155	69	β1	β1	PROPN
ejpam-6099	155	70	β1	β1	PROPN
ejpam-6099	155	71	+	+	CCONJ
ejpam-6099	155	72	ν	ν	PROPN
ejpam-6099	155	73	ρ	ρ	PROPN
ejpam-6099	155	74	β2	β2	PROPN
ejpam-6099	155	75	β2	β2	PROPN
ejpam-6099	155	76	)	)	PUNCT
ejpam-6099	155	77	ψ(λ+ψκν	ψ(λ+ψκν	NOUN
ejpam-6099	155	78	)	)	PUNCT
ejpam-6099	155	79	κ(ψ2−λ2)(1−ν2κ2	κ(ψ2−λ2)(1−ν2κ2	PROPN
ejpam-6099	155	80	)	)	PUNCT
ejpam-6099	155	81	,	,	PUNCT
ejpam-6099	155	82	re(ψ	re(ψ	PROPN
ejpam-6099	155	83	)	)	PUNCT
ejpam-6099	155	84	>	>	X
ejpam-6099	155	85	re(λ	re(λ	NOUN
ejpam-6099	155	86	)	)	PUNCT
ejpam-6099	155	87	and	and	CCONJ
ejpam-6099	155	88	re(ψ	re(ψ	NOUN
ejpam-6099	155	89	)	)	PUNCT
ejpam-6099	156	1	+	+	CCONJ
ejpam-6099	157	1	re(λ	re(λ	NOUN
ejpam-6099	157	2	)	)	PUNCT
ejpam-6099	157	3	>	>	SYM
ejpam-6099	157	4	0	0	NUM
ejpam-6099	158	1	cosh	cosh	NOUN
ejpam-6099	158	2	(	(	PUNCT
ejpam-6099	158	3	λ	λ	X
ejpam-6099	158	4	ξ	ξ	X
ejpam-6099	158	5	β1	β1	PROPN
ejpam-6099	158	6	β1	β1	PROPN
ejpam-6099	158	7	+	+	CCONJ
ejpam-6099	158	8	ν	ν	PROPN
ejpam-6099	158	9	ρ	ρ	PROPN
ejpam-6099	158	10	β2	β2	PROPN
ejpam-6099	158	11	β2	β2	PROPN
ejpam-6099	158	12	)	)	PUNCT
ejpam-6099	158	13	ψ(ψ+κλν	ψ(ψ+κλν	NOUN
ejpam-6099	158	14	)	)	PUNCT
ejpam-6099	158	15	κ(ψ2−λ2)(1−ν2κ2	κ(ψ2−λ2)(1−ν2κ2	PROPN
ejpam-6099	158	16	)	)	PUNCT
ejpam-6099	158	17	,	,	PUNCT
ejpam-6099	158	18	re(ψ	re(ψ	PROPN
ejpam-6099	158	19	)	)	PUNCT
ejpam-6099	158	20	>	>	X
ejpam-6099	158	21	re(λ	re(λ	NOUN
ejpam-6099	158	22	)	)	PUNCT
ejpam-6099	158	23	and	and	CCONJ
ejpam-6099	158	24	re(ψ	re(ψ	NOUN
ejpam-6099	158	25	)	)	PUNCT
ejpam-6099	159	1	+	+	CCONJ
ejpam-6099	160	1	re(λ	re(λ	NOUN
ejpam-6099	160	2	)	)	PUNCT
ejpam-6099	160	3	>	>	SYM
ejpam-6099	160	4	0	0	NUM
ejpam-6099	160	5	p(ξ)q(ρ	p(ξ)q(ρ	NOUN
ejpam-6099	160	6	)	)	PUNCT
ejpam-6099	161	1	aβ1ξ	aβ1ξ	PROPN
ejpam-6099	161	2	(	(	PUNCT
ejpam-6099	161	3	p(ξ))w	p(ξ))w	PROPN
ejpam-6099	161	4	β2	β2	PROPN
ejpam-6099	161	5	ρ	ρ	PROPN
ejpam-6099	161	6	(	(	PUNCT
ejpam-6099	161	7	q(ρ	q(ρ	PROPN
ejpam-6099	161	8	)	)	PUNCT
ejpam-6099	161	9	)	)	PUNCT
ejpam-6099	162	1	4	4	X
ejpam-6099	162	2	.	.	PUNCT
ejpam-6099	162	3	applications	application	NOUN
ejpam-6099	162	4	this	this	DET
ejpam-6099	162	5	section	section	NOUN
ejpam-6099	162	6	applies	apply	VERB
ejpam-6099	162	7	ca	can	AUX
ejpam-6099	162	8	-	-	PUNCT
ejpam-6099	162	9	sw	sw	NOUN
ejpam-6099	162	10	to	to	ADP
ejpam-6099	162	11	solving	solve	VERB
ejpam-6099	162	12	conformable	conformable	ADJ
ejpam-6099	162	13	partial	partial	ADJ
ejpam-6099	162	14	differential	differential	NOUN
ejpam-6099	162	15	equations	equation	NOUN
ejpam-6099	162	16	.	.	PUNCT
ejpam-6099	163	1	example	example	NOUN
ejpam-6099	164	1	1	1	NUM
ejpam-6099	164	2	.	.	X
ejpam-6099	164	3	consider	consider	VERB
ejpam-6099	164	4	the	the	DET
ejpam-6099	164	5	conformable	conformable	ADJ
ejpam-6099	164	6	klein	klein	PROPN
ejpam-6099	164	7	-	-	PUNCT
ejpam-6099	164	8	gordon	gordon	PROPN
ejpam-6099	164	9	equation	equation	NOUN
ejpam-6099	164	10	3	3	NUM
ejpam-6099	164	11	∂2β2s(ξ	∂2β2s(ξ	NOUN
ejpam-6099	164	12	,	,	PUNCT
ejpam-6099	164	13	ρ	ρ	NOUN
ejpam-6099	164	14	)	)	PUNCT
ejpam-6099	164	15	∂ρ2β2	∂ρ2β2	PROPN
ejpam-6099	164	16	+	+	CCONJ
ejpam-6099	164	17	∂2β1s(ξ	∂2β1s(ξ	PROPN
ejpam-6099	164	18	,	,	PUNCT
ejpam-6099	164	19	ρ	ρ	PROPN
ejpam-6099	164	20	)	)	PUNCT
ejpam-6099	164	21	∂ξ2β1	∂ξ2β1	PROPN
ejpam-6099	165	1	+	+	CCONJ
ejpam-6099	165	2	s(ξ	s(ξ	PROPN
ejpam-6099	165	3	,	,	PUNCT
ejpam-6099	165	4	ρ	ρ	NOUN
ejpam-6099	165	5	)	)	PUNCT
ejpam-6099	165	6	=	=	SYM
ejpam-6099	165	7	0	0	NUM
ejpam-6099	165	8	,	,	PUNCT
ejpam-6099	165	9	where	where	SCONJ
ejpam-6099	165	10	ξ	ξ	X
ejpam-6099	165	11	,	,	PUNCT
ejpam-6099	165	12	ρ	ρ	PROPN
ejpam-6099	165	13	>	>	X
ejpam-6099	165	14	0	0	NUM
ejpam-6099	165	15	,	,	PUNCT
ejpam-6099	165	16	(	(	PUNCT
ejpam-6099	165	17	5	5	NUM
ejpam-6099	165	18	)	)	PUNCT
ejpam-6099	165	19	with	with	ADP
ejpam-6099	165	20	ics	ics	PROPN
ejpam-6099	165	21	s(ξ	s(ξ	PROPN
ejpam-6099	165	22	,	,	PUNCT
ejpam-6099	165	23	0	0	NUM
ejpam-6099	165	24	)	)	PUNCT
ejpam-6099	165	25	=	=	VERB
ejpam-6099	165	26	sin	sin	NOUN
ejpam-6099	165	27	(	(	PUNCT
ejpam-6099	165	28	2ξβ1	2ξβ1	NUM
ejpam-6099	165	29	β1	β1	PROPN
ejpam-6099	165	30	)	)	PUNCT
ejpam-6099	165	31	,	,	PUNCT
ejpam-6099	165	32	∂	∂	NUM
ejpam-6099	165	33	β2s(ξ,0	β2s(ξ,0	NOUN
ejpam-6099	165	34	)	)	PUNCT
ejpam-6099	165	35	∂ρβ2	∂ρβ2	NOUN
ejpam-6099	165	36	=	=	NOUN
ejpam-6099	165	37	−	−	PROPN
ejpam-6099	165	38	sin	sin	NOUN
ejpam-6099	165	39	(	(	PUNCT
ejpam-6099	165	40	2ξβ1	2ξβ1	NUM
ejpam-6099	165	41	β1	β1	PROPN
ejpam-6099	165	42	)	)	PUNCT
ejpam-6099	165	43	,	,	PUNCT
ejpam-6099	165	44	and	and	CCONJ
ejpam-6099	165	45	bcs	bcs	NOUN
ejpam-6099	165	46	s	s	X
ejpam-6099	165	47	(	(	PUNCT
ejpam-6099	165	48	0	0	NUM
ejpam-6099	165	49	,	,	PUNCT
ejpam-6099	165	50	ρ	ρ	NOUN
ejpam-6099	165	51	)	)	PUNCT
ejpam-6099	165	52	=	=	SYM
ejpam-6099	165	53	0	0	NUM
ejpam-6099	165	54	,	,	PUNCT
ejpam-6099	165	55	∂β1s(0,ρ	∂β1s(0,ρ	NOUN
ejpam-6099	165	56	)	)	PUNCT
ejpam-6099	165	57	∂ξβ1	∂ξβ1	NOUN
ejpam-6099	165	58	=	=	SYM
ejpam-6099	165	59	2e	2e	PROPN
ejpam-6099	165	60	−	−	PROPN
ejpam-6099	165	61	ρβ2	ρβ2	NOUN
ejpam-6099	165	62	β2	β2	NOUN
ejpam-6099	165	63	.	.	PUNCT
ejpam-6099	166	1	solution	solution	NOUN
ejpam-6099	166	2	1	1	NUM
ejpam-6099	166	3	.	.	PUNCT
ejpam-6099	166	4	by	by	ADP
ejpam-6099	166	5	applying	apply	VERB
ejpam-6099	166	6	the	the	DET
ejpam-6099	166	7	ca	ca	NOUN
ejpam-6099	166	8	to	to	ADP
ejpam-6099	166	9	the	the	DET
ejpam-6099	166	10	ics	ic	NOUN
ejpam-6099	166	11	and	and	CCONJ
ejpam-6099	166	12	the	the	DET
ejpam-6099	166	13	csw	csw	PROPN
ejpam-6099	166	14	to	to	ADP
ejpam-6099	166	15	the	the	DET
ejpam-6099	166	16	bcs	bc	NOUN
ejpam-6099	166	17	,	,	PUNCT
ejpam-6099	166	18	we	we	PRON
ejpam-6099	166	19	get	get	VERB
ejpam-6099	166	20	aβ1ξ	aβ1ξ	PROPN
ejpam-6099	166	21	(	(	PUNCT
ejpam-6099	166	22	sin	sin	NOUN
ejpam-6099	166	23	(	(	PUNCT
ejpam-6099	166	24	2ξβ1	2ξβ1	NUM
ejpam-6099	166	25	β1	β1	NOUN
ejpam-6099	166	26	)	)	PUNCT
ejpam-6099	166	27	)	)	PUNCT
ejpam-6099	167	1	=	=	PUNCT
ejpam-6099	167	2	2ψ	2ψ	NOUN
ejpam-6099	167	3	ψ2	ψ2	NOUN
ejpam-6099	167	4	+	+	NOUN
ejpam-6099	167	5	4	4	NUM
ejpam-6099	167	6	,	,	PUNCT
ejpam-6099	167	7	aβ1ξ	aβ1ξ	PROPN
ejpam-6099	167	8	(	(	PUNCT
ejpam-6099	167	9	−	−	PROPN
ejpam-6099	167	10	sin	sin	NOUN
ejpam-6099	167	11	(	(	PUNCT
ejpam-6099	167	12	2ξβ1	2ξβ1	NUM
ejpam-6099	167	13	β1	β1	NOUN
ejpam-6099	167	14	)	)	PUNCT
ejpam-6099	167	15	)	)	PUNCT
ejpam-6099	168	1	=	=	PUNCT
ejpam-6099	168	2	−2ψ	−2ψ	PROPN
ejpam-6099	168	3	ψ2	ψ2	VERB
ejpam-6099	168	4	+	+	NOUN
ejpam-6099	168	5	4	4	NUM
ejpam-6099	168	6	,	,	PUNCT
ejpam-6099	168	7	w	w	PROPN
ejpam-6099	168	8	β2	β2	PROPN
ejpam-6099	168	9	ρ	ρ	PROPN
ejpam-6099	168	10	(	(	PUNCT
ejpam-6099	168	11	0	0	NUM
ejpam-6099	168	12	)	)	PUNCT
ejpam-6099	168	13	=	=	SYM
ejpam-6099	168	14	0	0	NUM
ejpam-6099	168	15	,	,	PUNCT
ejpam-6099	168	16	w	w	PROPN
ejpam-6099	168	17	β2	β2	PROPN
ejpam-6099	168	18	ρ	ρ	PROPN
ejpam-6099	168	19	(	(	PUNCT
ejpam-6099	168	20	2e−ρ	2e−ρ	NOUN
ejpam-6099	168	21	)	)	PUNCT
ejpam-6099	168	22	=	=	SYM
ejpam-6099	168	23	2	2	NUM
ejpam-6099	168	24	κ(1+κ	κ(1+κ	PROPN
ejpam-6099	168	25	)	)	PUNCT
ejpam-6099	168	26	.	.	PUNCT
ejpam-6099	169	1	apply	apply	VERB
ejpam-6099	169	2	the	the	DET
ejpam-6099	169	3	ca	ca	NOUN
ejpam-6099	169	4	-	-	PUNCT
ejpam-6099	169	5	sw	sw	NOUN
ejpam-6099	169	6	to	to	PART
ejpam-6099	169	7	equation	equation	NOUN
ejpam-6099	169	8	5	5	NUM
ejpam-6099	169	9	,	,	PUNCT
ejpam-6099	169	10	we	we	PRON
ejpam-6099	169	11	get	get	VERB
ejpam-6099	169	12	3	3	NUM
ejpam-6099	169	13	κ2	κ2	NOUN
ejpam-6099	169	14	s	s	PART
ejpam-6099	169	15	−	−	PROPN
ejpam-6099	169	16	6ψ	6ψ	NUM
ejpam-6099	169	17	κ3	κ3	PROPN
ejpam-6099	169	18	(	(	PUNCT
ejpam-6099	169	19	ψ2	ψ2	NOUN
ejpam-6099	169	20	+	+	CCONJ
ejpam-6099	169	21	4	4	NUM
ejpam-6099	169	22	)	)	PUNCT
ejpam-6099	170	1	+	+	CCONJ
ejpam-6099	170	2	6ψ	6ψ	NUM
ejpam-6099	170	3	κ2	κ2	NOUN
ejpam-6099	170	4	(	(	PUNCT
ejpam-6099	170	5	ψ2	ψ2	NOUN
ejpam-6099	170	6	+	+	CCONJ
ejpam-6099	170	7	4	4	NUM
ejpam-6099	170	8	)	)	PUNCT
ejpam-6099	170	9	+	+	CCONJ
ejpam-6099	170	10	ψ2s	ψ2	VERB
ejpam-6099	170	11	−	−	PROPN
ejpam-6099	170	12	2ψ	2ψ	NUM
ejpam-6099	170	13	κ	κ	NOUN
ejpam-6099	170	14	(	(	PUNCT
ejpam-6099	170	15	1	1	NUM
ejpam-6099	170	16	+	+	CCONJ
ejpam-6099	170	17	κ	κ	X
ejpam-6099	170	18	)	)	PUNCT
ejpam-6099	170	19	+	+	PRON
ejpam-6099	170	20	s	s	NOUN
ejpam-6099	170	21	=	=	SYM
ejpam-6099	170	22	0	0	PROPN
ejpam-6099	170	23	.	.	PUNCT
ejpam-6099	170	24	m.	m.	PROPN
ejpam-6099	170	25	al	al	PROPN
ejpam-6099	170	26	-	-	PUNCT
ejpam-6099	170	27	momani	momani	X
ejpam-6099	170	28	et	et	PROPN
ejpam-6099	170	29	al	al	PROPN
ejpam-6099	170	30	.	.	PUNCT
ejpam-6099	170	31	/	/	SYM
ejpam-6099	170	32	eur	eur	PROPN
ejpam-6099	170	33	.	.	PUNCT
ejpam-6099	171	1	j.	j.	PROPN
ejpam-6099	171	2	pure	pure	PROPN
ejpam-6099	171	3	appl	appl	PROPN
ejpam-6099	171	4	.	.	PROPN
ejpam-6099	171	5	math	math	PROPN
ejpam-6099	171	6	,	,	PUNCT
ejpam-6099	171	7	18	18	NUM
ejpam-6099	171	8	(	(	PUNCT
ejpam-6099	171	9	2	2	NUM
ejpam-6099	171	10	)	)	PUNCT
ejpam-6099	171	11	(	(	PUNCT
ejpam-6099	171	12	2025	2025	NUM
ejpam-6099	171	13	)	)	PUNCT
ejpam-6099	171	14	,	,	PUNCT
ejpam-6099	171	15	6099	6099	NUM
ejpam-6099	171	16	8	8	NUM
ejpam-6099	171	17	of	of	ADP
ejpam-6099	171	18	15	15	NUM
ejpam-6099	171	19	so	so	ADV
ejpam-6099	171	20	,	,	PUNCT
ejpam-6099	171	21	s(ψ	s(ψ	PROPN
ejpam-6099	171	22	,	,	PUNCT
ejpam-6099	171	23	κ	κ	NOUN
ejpam-6099	171	24	)	)	PUNCT
ejpam-6099	171	25	=	=	SYM
ejpam-6099	171	26	6ψ	6ψ	NUM
ejpam-6099	171	27	κ3(ψ2	κ3(ψ2	VERB
ejpam-6099	171	28	+	+	NOUN
ejpam-6099	171	29	4	4	NUM
ejpam-6099	171	30	)	)	PUNCT
ejpam-6099	171	31	−	−	PROPN
ejpam-6099	171	32	6ψ	6ψ	NUM
ejpam-6099	171	33	κ2(ψ2	κ2(ψ2	NOUN
ejpam-6099	171	34	+	+	NOUN
ejpam-6099	171	35	4	4	NUM
ejpam-6099	171	36	)	)	PUNCT
ejpam-6099	171	37	+	+	NUM
ejpam-6099	171	38	2ψ	2ψ	NUM
ejpam-6099	171	39	κ(1+κ	κ(1+κ	PROPN
ejpam-6099	171	40	)	)	PUNCT
ejpam-6099	171	41	3	3	NUM
ejpam-6099	171	42	κ2	κ2	NOUN
ejpam-6099	171	43	+	+	CCONJ
ejpam-6099	171	44	ψ2	ψ2	NOUN
ejpam-6099	171	45	+	+	CCONJ
ejpam-6099	171	46	1	1	NUM
ejpam-6099	171	47	.	.	PUNCT
ejpam-6099	172	1	by	by	ADP
ejpam-6099	172	2	simplify	simplify	NOUN
ejpam-6099	172	3	,	,	PUNCT
ejpam-6099	172	4	s(ψ	s(ψ	PROPN
ejpam-6099	172	5	,	,	PUNCT
ejpam-6099	172	6	κ	κ	NOUN
ejpam-6099	172	7	)	)	PUNCT
ejpam-6099	172	8	=	=	X
ejpam-6099	172	9	2ψ	2ψ	NUM
ejpam-6099	172	10	κ	κ	NOUN
ejpam-6099	172	11	(	(	PUNCT
ejpam-6099	172	12	1	1	NUM
ejpam-6099	172	13	+	+	NUM
ejpam-6099	172	14	κ	κ	NOUN
ejpam-6099	172	15	)	)	PUNCT
ejpam-6099	172	16	(	(	PUNCT
ejpam-6099	172	17	ψ2	ψ2	NOUN
ejpam-6099	172	18	+	+	CCONJ
ejpam-6099	172	19	4	4	NUM
ejpam-6099	172	20	)	)	PUNCT
ejpam-6099	172	21	.	.	PUNCT
ejpam-6099	173	1	so	so	ADV
ejpam-6099	173	2	,	,	PUNCT
ejpam-6099	173	3	s(ξ	s(ξ	PROPN
ejpam-6099	173	4	,	,	PUNCT
ejpam-6099	173	5	ρ	ρ	NOUN
ejpam-6099	173	6	)	)	PUNCT
ejpam-6099	173	7	=	=	SYM
ejpam-6099	174	1	(	(	PUNCT
ejpam-6099	174	2	aβ1ξ	aβ1ξ	PROPN
ejpam-6099	174	3	)	)	PUNCT
ejpam-6099	174	4	−1	−1	NOUN
ejpam-6099	174	5	(	(	PUNCT
ejpam-6099	174	6	w	w	PROPN
ejpam-6099	174	7	β2	β2	NOUN
ejpam-6099	174	8	ρ	ρ	PROPN
ejpam-6099	174	9	)	)	PUNCT
ejpam-6099	174	10	−1	−1	NOUN
ejpam-6099	174	11	(	(	PUNCT
ejpam-6099	174	12	2ψ	2ψ	NUM
ejpam-6099	174	13	κ	κ	NOUN
ejpam-6099	174	14	(	(	PUNCT
ejpam-6099	174	15	1	1	NUM
ejpam-6099	174	16	+	+	NUM
ejpam-6099	174	17	κ	κ	NOUN
ejpam-6099	174	18	)	)	PUNCT
ejpam-6099	174	19	(	(	PUNCT
ejpam-6099	174	20	ψ2	ψ2	NOUN
ejpam-6099	174	21	+	+	CCONJ
ejpam-6099	174	22	4	4	NUM
ejpam-6099	174	23	)	)	PUNCT
ejpam-6099	174	24	)	)	PUNCT
ejpam-6099	175	1	=	=	PUNCT
ejpam-6099	175	2	e	e	X
ejpam-6099	175	3	−	−	PROPN
ejpam-6099	175	4	ρβ2	ρβ2	NOUN
ejpam-6099	175	5	β2	β2	NOUN
ejpam-6099	175	6	sin	sin	NOUN
ejpam-6099	175	7	(	(	PUNCT
ejpam-6099	175	8	2ξβ1	2ξβ1	NUM
ejpam-6099	175	9	β1	β1	PROPN
ejpam-6099	175	10	)	)	PUNCT
ejpam-6099	175	11	.	.	PUNCT
ejpam-6099	176	1	the	the	DET
ejpam-6099	176	2	following	follow	VERB
ejpam-6099	176	3	figures	figure	NOUN
ejpam-6099	176	4	show	show	VERB
ejpam-6099	176	5	the	the	DET
ejpam-6099	176	6	3d	3d	PROPN
ejpam-6099	176	7	representation	representation	NOUN
ejpam-6099	176	8	of	of	ADP
ejpam-6099	176	9	the	the	DET
ejpam-6099	176	10	solution	solution	NOUN
ejpam-6099	176	11	at	at	ADP
ejpam-6099	176	12	β1	β1	PROPN
ejpam-6099	176	13	=	=	SYM
ejpam-6099	176	14	β2	β2	NOUN
ejpam-6099	176	15	=	=	NOUN
ejpam-6099	176	16	0.5	0.5	NUM
ejpam-6099	176	17	,	,	PUNCT
ejpam-6099	176	18	1	1	NUM
ejpam-6099	176	19	.	.	X
ejpam-6099	176	20	figure	figure	NOUN
ejpam-6099	176	21	1	1	NUM
ejpam-6099	176	22	:	:	PUNCT
ejpam-6099	176	23	the	the	DET
ejpam-6099	176	24	3d	3d	PROPN
ejpam-6099	176	25	representation	representation	NOUN
ejpam-6099	176	26	of	of	ADP
ejpam-6099	176	27	the	the	DET
ejpam-6099	176	28	solution	solution	NOUN
ejpam-6099	176	29	at	at	ADP
ejpam-6099	176	30	β1	β1	PROPN
ejpam-6099	176	31	=	=	SYM
ejpam-6099	176	32	β2	β2	NOUN
ejpam-6099	176	33	=	=	NOUN
ejpam-6099	176	34	0.5	0.5	NUM
ejpam-6099	176	35	,	,	PUNCT
ejpam-6099	176	36	1	1	NUM
ejpam-6099	176	37	.	.	PUNCT
ejpam-6099	176	38	figure	figure	NOUN
ejpam-6099	176	39	1	1	NUM
ejpam-6099	176	40	presents	present	VERB
ejpam-6099	176	41	the	the	DET
ejpam-6099	176	42	three	three	NUM
ejpam-6099	176	43	-	-	PUNCT
ejpam-6099	176	44	dimensional	dimensional	ADJ
ejpam-6099	176	45	plot	plot	NOUN
ejpam-6099	176	46	of	of	ADP
ejpam-6099	176	47	the	the	DET
ejpam-6099	176	48	solution	solution	NOUN
ejpam-6099	176	49	to	to	ADP
ejpam-6099	176	50	the	the	DET
ejpam-6099	176	51	conformable	conformable	ADJ
ejpam-6099	176	52	kleingordon	kleingordon	NOUN
ejpam-6099	176	53	equation	equation	NOUN
ejpam-6099	176	54	at	at	ADP
ejpam-6099	176	55	different	different	ADJ
ejpam-6099	176	56	fractional	fractional	ADJ
ejpam-6099	176	57	orders	order	NOUN
ejpam-6099	176	58	(	(	PUNCT
ejpam-6099	176	59	β1	β1	NOUN
ejpam-6099	176	60	=	=	SYM
ejpam-6099	176	61	β2	β2	NOUN
ejpam-6099	176	62	=	=	NOUN
ejpam-6099	176	63	0.5	0.5	NUM
ejpam-6099	176	64	and	and	CCONJ
ejpam-6099	176	65	β1	β1	PROPN
ejpam-6099	176	66	=	=	SYM
ejpam-6099	176	67	β2	β2	NOUN
ejpam-6099	176	68	=	=	NOUN
ejpam-6099	176	69	1	1	NUM
ejpam-6099	176	70	)	)	PUNCT
ejpam-6099	176	71	.	.	PUNCT
ejpam-6099	177	1	the	the	DET
ejpam-6099	177	2	plot	plot	NOUN
ejpam-6099	177	3	clearly	clearly	ADV
ejpam-6099	177	4	shows	show	VERB
ejpam-6099	177	5	that	that	SCONJ
ejpam-6099	177	6	at	at	ADP
ejpam-6099	177	7	β1	β1	PROPN
ejpam-6099	177	8	=	=	SYM
ejpam-6099	177	9	β2	β2	NOUN
ejpam-6099	177	10	=	=	NOUN
ejpam-6099	177	11	1	1	NUM
ejpam-6099	177	12	,	,	PUNCT
ejpam-6099	177	13	the	the	DET
ejpam-6099	177	14	solution	solution	NOUN
ejpam-6099	177	15	behaves	behave	VERB
ejpam-6099	177	16	according	accord	VERB
ejpam-6099	177	17	to	to	ADP
ejpam-6099	177	18	the	the	DET
ejpam-6099	177	19	classical	classical	ADJ
ejpam-6099	177	20	structure	structure	NOUN
ejpam-6099	177	21	with	with	ADP
ejpam-6099	177	22	sharp	sharp	ADJ
ejpam-6099	177	23	transitions	transition	NOUN
ejpam-6099	177	24	.	.	PUNCT
ejpam-6099	178	1	when	when	SCONJ
ejpam-6099	178	2	the	the	DET
ejpam-6099	178	3	fractional	fractional	ADJ
ejpam-6099	178	4	orders	order	NOUN
ejpam-6099	178	5	are	be	AUX
ejpam-6099	178	6	reduced	reduce	VERB
ejpam-6099	178	7	to	to	ADP
ejpam-6099	178	8	β1	β1	PROPN
ejpam-6099	178	9	=	=	SYM
ejpam-6099	178	10	β2	β2	NOUN
ejpam-6099	178	11	=	=	NOUN
ejpam-6099	178	12	0.5	0.5	NUM
ejpam-6099	178	13	,	,	PUNCT
ejpam-6099	178	14	m.	m.	NOUN
ejpam-6099	178	15	al	al	PROPN
ejpam-6099	178	16	-	-	PUNCT
ejpam-6099	178	17	momani	momani	X
ejpam-6099	178	18	et	et	PROPN
ejpam-6099	178	19	al	al	PROPN
ejpam-6099	178	20	.	.	PUNCT
ejpam-6099	178	21	/	/	SYM
ejpam-6099	178	22	eur	eur	PROPN
ejpam-6099	178	23	.	.	PUNCT
ejpam-6099	179	1	j.	j.	PROPN
ejpam-6099	179	2	pure	pure	PROPN
ejpam-6099	179	3	appl	appl	PROPN
ejpam-6099	179	4	.	.	PROPN
ejpam-6099	179	5	math	math	PROPN
ejpam-6099	179	6	,	,	PUNCT
ejpam-6099	179	7	18	18	NUM
ejpam-6099	179	8	(	(	PUNCT
ejpam-6099	179	9	2	2	NUM
ejpam-6099	179	10	)	)	PUNCT
ejpam-6099	179	11	(	(	PUNCT
ejpam-6099	179	12	2025	2025	NUM
ejpam-6099	179	13	)	)	PUNCT
ejpam-6099	179	14	,	,	PUNCT
ejpam-6099	179	15	6099	6099	NUM
ejpam-6099	179	16	9	9	NUM
ejpam-6099	179	17	of	of	ADP
ejpam-6099	179	18	15	15	NUM
ejpam-6099	179	19	the	the	DET
ejpam-6099	179	20	surface	surface	NOUN
ejpam-6099	179	21	becomes	become	VERB
ejpam-6099	179	22	smoother	smooth	ADJ
ejpam-6099	179	23	and	and	CCONJ
ejpam-6099	179	24	the	the	DET
ejpam-6099	179	25	amplitude	amplitude	NOUN
ejpam-6099	179	26	variations	variation	NOUN
ejpam-6099	179	27	are	be	AUX
ejpam-6099	179	28	more	more	ADV
ejpam-6099	179	29	gradual	gradual	ADJ
ejpam-6099	179	30	,	,	PUNCT
ejpam-6099	179	31	reflecting	reflect	VERB
ejpam-6099	179	32	the	the	DET
ejpam-6099	179	33	memory	memory	NOUN
ejpam-6099	179	34	and	and	CCONJ
ejpam-6099	179	35	nonlocal	nonlocal	ADJ
ejpam-6099	179	36	properties	property	NOUN
ejpam-6099	179	37	introduced	introduce	VERB
ejpam-6099	179	38	by	by	ADP
ejpam-6099	179	39	the	the	DET
ejpam-6099	179	40	fractional	fractional	ADJ
ejpam-6099	179	41	operators	operator	NOUN
ejpam-6099	179	42	.	.	PUNCT
ejpam-6099	180	1	the	the	DET
ejpam-6099	180	2	following	follow	VERB
ejpam-6099	180	3	two	two	NUM
ejpam-6099	180	4	figures	figure	NOUN
ejpam-6099	180	5	illustrate	illustrate	VERB
ejpam-6099	180	6	the	the	DET
ejpam-6099	180	7	2d	2d	NUM
ejpam-6099	180	8	graph	graph	NOUN
ejpam-6099	180	9	of	of	ADP
ejpam-6099	180	10	the	the	DET
ejpam-6099	180	11	solution	solution	NOUN
ejpam-6099	180	12	with	with	ADP
ejpam-6099	180	13	respect	respect	NOUN
ejpam-6099	180	14	to	to	ADP
ejpam-6099	180	15	ξ	ξ	PROPN
ejpam-6099	180	16	and	and	CCONJ
ejpam-6099	180	17	ρ	ρ	PROPN
ejpam-6099	180	18	at	at	ADP
ejpam-6099	180	19	β1	β1	PROPN
ejpam-6099	180	20	=	=	SYM
ejpam-6099	180	21	β2	β2	NOUN
ejpam-6099	180	22	=	=	NOUN
ejpam-6099	180	23	0.6	0.6	NUM
ejpam-6099	180	24	,	,	PUNCT
ejpam-6099	180	25	0.8	0.8	NUM
ejpam-6099	180	26	,	,	PUNCT
ejpam-6099	180	27	1	1	NUM
ejpam-6099	180	28	.	.	X
ejpam-6099	180	29	figure	figure	NOUN
ejpam-6099	180	30	2	2	NUM
ejpam-6099	180	31	:	:	PUNCT
ejpam-6099	180	32	the	the	DET
ejpam-6099	180	33	2d	2d	NUM
ejpam-6099	180	34	graph	graph	NOUN
ejpam-6099	180	35	of	of	ADP
ejpam-6099	180	36	the	the	DET
ejpam-6099	180	37	solution	solution	NOUN
ejpam-6099	180	38	with	with	ADP
ejpam-6099	180	39	respect	respect	NOUN
ejpam-6099	180	40	to	to	ADP
ejpam-6099	180	41	ξ	ξ	PROPN
ejpam-6099	180	42	at	at	ADP
ejpam-6099	180	43	β1	β1	PROPN
ejpam-6099	180	44	=	=	SYM
ejpam-6099	180	45	β2	β2	NOUN
ejpam-6099	180	46	=	=	NOUN
ejpam-6099	180	47	0.6	0.6	NUM
ejpam-6099	180	48	,	,	PUNCT
ejpam-6099	180	49	0.8	0.8	NUM
ejpam-6099	180	50	,	,	PUNCT
ejpam-6099	180	51	1	1	NUM
ejpam-6099	180	52	.	.	PUNCT
ejpam-6099	181	1	m.	m.	PROPN
ejpam-6099	181	2	al	al	PROPN
ejpam-6099	181	3	-	-	PUNCT
ejpam-6099	181	4	momani	momani	X
ejpam-6099	181	5	et	et	PROPN
ejpam-6099	181	6	al	al	PROPN
ejpam-6099	181	7	.	.	PUNCT
ejpam-6099	181	8	/	/	SYM
ejpam-6099	181	9	eur	eur	PROPN
ejpam-6099	181	10	.	.	PUNCT
ejpam-6099	182	1	j.	j.	PROPN
ejpam-6099	182	2	pure	pure	PROPN
ejpam-6099	182	3	appl	appl	PROPN
ejpam-6099	182	4	.	.	PROPN
ejpam-6099	182	5	math	math	PROPN
ejpam-6099	182	6	,	,	PUNCT
ejpam-6099	182	7	18	18	NUM
ejpam-6099	182	8	(	(	PUNCT
ejpam-6099	182	9	2	2	NUM
ejpam-6099	182	10	)	)	PUNCT
ejpam-6099	182	11	(	(	PUNCT
ejpam-6099	182	12	2025	2025	NUM
ejpam-6099	182	13	)	)	PUNCT
ejpam-6099	182	14	,	,	PUNCT
ejpam-6099	182	15	6099	6099	NUM
ejpam-6099	182	16	10	10	NUM
ejpam-6099	182	17	of	of	ADP
ejpam-6099	182	18	15	15	NUM
ejpam-6099	182	19	figure	figure	NOUN
ejpam-6099	182	20	3	3	NUM
ejpam-6099	182	21	:	:	PUNCT
ejpam-6099	182	22	the	the	DET
ejpam-6099	182	23	2d	2d	NUM
ejpam-6099	182	24	graph	graph	NOUN
ejpam-6099	182	25	of	of	ADP
ejpam-6099	182	26	the	the	DET
ejpam-6099	182	27	solution	solution	NOUN
ejpam-6099	182	28	with	with	ADP
ejpam-6099	182	29	respect	respect	NOUN
ejpam-6099	182	30	to	to	ADP
ejpam-6099	182	31	ρ	ρ	NOUN
ejpam-6099	182	32	at	at	ADP
ejpam-6099	182	33	β1	β1	PROPN
ejpam-6099	182	34	=	=	SYM
ejpam-6099	182	35	β2	β2	NOUN
ejpam-6099	182	36	=	=	NOUN
ejpam-6099	182	37	0.6	0.6	NUM
ejpam-6099	182	38	,	,	PUNCT
ejpam-6099	182	39	0.8	0.8	NUM
ejpam-6099	182	40	,	,	PUNCT
ejpam-6099	182	41	1	1	NUM
ejpam-6099	182	42	.	.	NUM
ejpam-6099	182	43	figures	figure	NOUN
ejpam-6099	182	44	2	2	NUM
ejpam-6099	182	45	and	and	CCONJ
ejpam-6099	182	46	3	3	NUM
ejpam-6099	182	47	display	display	VERB
ejpam-6099	182	48	the	the	DET
ejpam-6099	182	49	two	two	NUM
ejpam-6099	182	50	-	-	PUNCT
ejpam-6099	182	51	dimensional	dimensional	ADJ
ejpam-6099	182	52	behavior	behavior	NOUN
ejpam-6099	182	53	of	of	ADP
ejpam-6099	182	54	the	the	DET
ejpam-6099	182	55	solution	solution	NOUN
ejpam-6099	182	56	with	with	ADP
ejpam-6099	182	57	respect	respect	NOUN
ejpam-6099	182	58	to	to	ADP
ejpam-6099	182	59	ξ	ξ	PROPN
ejpam-6099	182	60	and	and	CCONJ
ejpam-6099	182	61	ρ	ρ	PROPN
ejpam-6099	182	62	,	,	PUNCT
ejpam-6099	182	63	respectively	respectively	ADV
ejpam-6099	182	64	,	,	PUNCT
ejpam-6099	182	65	for	for	ADP
ejpam-6099	182	66	different	different	ADJ
ejpam-6099	182	67	fractional	fractional	ADJ
ejpam-6099	182	68	orders	order	NOUN
ejpam-6099	182	69	(	(	PUNCT
ejpam-6099	182	70	β1	β1	NOUN
ejpam-6099	182	71	=	=	SYM
ejpam-6099	182	72	β2	β2	NOUN
ejpam-6099	182	73	=	=	NOUN
ejpam-6099	182	74	0.6	0.6	NUM
ejpam-6099	182	75	,	,	PUNCT
ejpam-6099	182	76	0.8	0.8	NUM
ejpam-6099	182	77	,	,	PUNCT
ejpam-6099	182	78	1	1	NUM
ejpam-6099	182	79	)	)	PUNCT
ejpam-6099	182	80	.	.	PUNCT
ejpam-6099	183	1	figure	figure	NOUN
ejpam-6099	183	2	2	2	NUM
ejpam-6099	183	3	shows	show	VERB
ejpam-6099	183	4	the	the	DET
ejpam-6099	183	5	solution	solution	NOUN
ejpam-6099	183	6	as	as	ADP
ejpam-6099	183	7	a	a	DET
ejpam-6099	183	8	function	function	NOUN
ejpam-6099	183	9	of	of	ADP
ejpam-6099	183	10	ξ	ξ	PROPN
ejpam-6099	183	11	,	,	PUNCT
ejpam-6099	183	12	where	where	SCONJ
ejpam-6099	183	13	lower	low	ADJ
ejpam-6099	183	14	fractional	fractional	ADJ
ejpam-6099	183	15	orders	order	NOUN
ejpam-6099	183	16	lead	lead	VERB
ejpam-6099	183	17	to	to	ADP
ejpam-6099	183	18	broader	broad	ADJ
ejpam-6099	183	19	and	and	CCONJ
ejpam-6099	183	20	less	less	ADV
ejpam-6099	183	21	steep	steep	ADJ
ejpam-6099	183	22	transitions	transition	NOUN
ejpam-6099	183	23	.	.	PUNCT
ejpam-6099	184	1	similarly	similarly	ADV
ejpam-6099	184	2	,	,	PUNCT
ejpam-6099	184	3	figure	figure	VERB
ejpam-6099	184	4	3	3	NUM
ejpam-6099	184	5	shows	show	VERB
ejpam-6099	184	6	the	the	DET
ejpam-6099	184	7	solution	solution	NOUN
ejpam-6099	184	8	as	as	ADP
ejpam-6099	184	9	a	a	DET
ejpam-6099	184	10	function	function	NOUN
ejpam-6099	184	11	of	of	ADP
ejpam-6099	184	12	ρ	ρ	PROPN
ejpam-6099	184	13	,	,	PUNCT
ejpam-6099	184	14	highlighting	highlight	VERB
ejpam-6099	184	15	that	that	SCONJ
ejpam-6099	184	16	fractional	fractional	ADJ
ejpam-6099	184	17	orders	order	NOUN
ejpam-6099	184	18	lower	low	ADJ
ejpam-6099	184	19	than	than	ADP
ejpam-6099	184	20	1	1	NUM
ejpam-6099	184	21	result	result	NOUN
ejpam-6099	184	22	in	in	ADP
ejpam-6099	184	23	slower	slow	ADJ
ejpam-6099	184	24	decay	decay	NOUN
ejpam-6099	184	25	and	and	CCONJ
ejpam-6099	184	26	wider	wide	ADJ
ejpam-6099	184	27	spreading	spreading	NOUN
ejpam-6099	184	28	of	of	ADP
ejpam-6099	184	29	the	the	DET
ejpam-6099	184	30	solution	solution	NOUN
ejpam-6099	184	31	profile	profile	NOUN
ejpam-6099	184	32	.	.	PUNCT
ejpam-6099	185	1	example	example	NOUN
ejpam-6099	186	1	2	2	NUM
ejpam-6099	186	2	.	.	X
ejpam-6099	186	3	consider	consider	VERB
ejpam-6099	186	4	the	the	DET
ejpam-6099	186	5	conformable	conformable	ADJ
ejpam-6099	186	6	telegraph	telegraph	NOUN
ejpam-6099	186	7	equation	equation	NOUN
ejpam-6099	186	8	∂2β1s(ξ	∂2β1s(ξ	PROPN
ejpam-6099	186	9	,	,	PUNCT
ejpam-6099	186	10	ρ	ρ	PROPN
ejpam-6099	186	11	)	)	PUNCT
ejpam-6099	186	12	∂ξ2β1	∂ξ2β1	NOUN
ejpam-6099	187	1	+	+	CCONJ
ejpam-6099	187	2	3	3	NUM
ejpam-6099	187	3	∂2β2s(ξ	∂2β2s(ξ	NOUN
ejpam-6099	187	4	,	,	PUNCT
ejpam-6099	187	5	ρ	ρ	NOUN
ejpam-6099	187	6	)	)	PUNCT
ejpam-6099	187	7	∂ρ2β2	∂ρ2β2	NOUN
ejpam-6099	187	8	+	+	CCONJ
ejpam-6099	187	9	2	2	NUM
ejpam-6099	187	10	∂β2s(ξ	∂β2s(ξ	X
ejpam-6099	187	11	,	,	PUNCT
ejpam-6099	187	12	ρ	ρ	NOUN
ejpam-6099	187	13	)	)	PUNCT
ejpam-6099	187	14	∂ρβ2	∂ρβ2	NOUN
ejpam-6099	187	15	=	=	SYM
ejpam-6099	187	16	9s(ξ	9s(ξ	PROPN
ejpam-6099	187	17	,	,	PUNCT
ejpam-6099	187	18	ρ	ρ	PROPN
ejpam-6099	187	19	)	)	PUNCT
ejpam-6099	187	20	,	,	PUNCT
ejpam-6099	187	21	where	where	SCONJ
ejpam-6099	187	22	ξ	ξ	X
ejpam-6099	187	23	,	,	PUNCT
ejpam-6099	187	24	ρ	ρ	PROPN
ejpam-6099	187	25	>	>	X
ejpam-6099	187	26	0	0	NUM
ejpam-6099	187	27	,	,	PUNCT
ejpam-6099	187	28	(	(	PUNCT
ejpam-6099	187	29	6	6	NUM
ejpam-6099	187	30	)	)	PUNCT
ejpam-6099	187	31	with	with	ADP
ejpam-6099	187	32	initial	initial	ADJ
ejpam-6099	187	33	conditions	condition	NOUN
ejpam-6099	187	34	(	(	PUNCT
ejpam-6099	187	35	ics	ics	NOUN
ejpam-6099	187	36	)	)	PUNCT
ejpam-6099	187	37	s(ξ	s(ξ	PROPN
ejpam-6099	187	38	,	,	PUNCT
ejpam-6099	187	39	0	0	NUM
ejpam-6099	187	40	)	)	PUNCT
ejpam-6099	187	41	=	=	PUNCT
ejpam-6099	188	1	e	e	NOUN
ejpam-6099	188	2	−2	−2	NOUN
ejpam-6099	188	3	ξβ1	ξβ1	PROPN
ejpam-6099	188	4	β1	β1	PROPN
ejpam-6099	188	5	,	,	PUNCT
ejpam-6099	188	6	∂	∂	NUM
ejpam-6099	188	7	β2s(ξ,0	β2s(ξ,0	NOUN
ejpam-6099	188	8	)	)	PUNCT
ejpam-6099	188	9	∂ρβ2	∂ρβ2	NOUN
ejpam-6099	188	10	=	=	SYM
ejpam-6099	188	11	e	e	NOUN
ejpam-6099	188	12	−2	−2	NOUN
ejpam-6099	188	13	ξβ1	ξβ1	PROPN
ejpam-6099	188	14	β1	β1	PROPN
ejpam-6099	188	15	,	,	PUNCT
ejpam-6099	188	16	and	and	CCONJ
ejpam-6099	188	17	boundary	boundary	ADJ
ejpam-6099	188	18	conditions	condition	NOUN
ejpam-6099	188	19	(	(	PUNCT
ejpam-6099	188	20	bcs	bcs	NOUN
ejpam-6099	188	21	)	)	PUNCT
ejpam-6099	188	22	s	s	PART
ejpam-6099	188	23	(	(	PUNCT
ejpam-6099	188	24	0	0	NUM
ejpam-6099	188	25	,	,	PUNCT
ejpam-6099	188	26	ρ	ρ	NOUN
ejpam-6099	188	27	)	)	PUNCT
ejpam-6099	188	28	=	=	SYM
ejpam-6099	188	29	e	e	PROPN
ejpam-6099	188	30	ρβ1	ρβ1	PROPN
ejpam-6099	188	31	β1	β1	PROPN
ejpam-6099	188	32	,	,	PUNCT
ejpam-6099	188	33	∂β1s(0,ρ	∂β1s(0,ρ	PROPN
ejpam-6099	188	34	)	)	PUNCT
ejpam-6099	188	35	∂ξβ1	∂ξβ1	NOUN
ejpam-6099	188	36	=	=	SYM
ejpam-6099	188	37	−2e	−2e	PROPN
ejpam-6099	188	38	ρβ1	ρβ1	PROPN
ejpam-6099	188	39	β1	β1	PROPN
ejpam-6099	188	40	.	.	PUNCT
ejpam-6099	189	1	solution	solution	NOUN
ejpam-6099	189	2	2	2	NUM
ejpam-6099	189	3	.	.	PUNCT
ejpam-6099	189	4	by	by	ADP
ejpam-6099	189	5	applying	apply	VERB
ejpam-6099	189	6	the	the	DET
ejpam-6099	189	7	ca	ca	NOUN
ejpam-6099	189	8	to	to	ADP
ejpam-6099	189	9	the	the	DET
ejpam-6099	189	10	ics	ic	NOUN
ejpam-6099	189	11	and	and	CCONJ
ejpam-6099	189	12	the	the	DET
ejpam-6099	189	13	csw	csw	PROPN
ejpam-6099	189	14	to	to	ADP
ejpam-6099	189	15	the	the	DET
ejpam-6099	189	16	bcs	bc	NOUN
ejpam-6099	189	17	,	,	PUNCT
ejpam-6099	189	18	we	we	PRON
ejpam-6099	189	19	get	get	VERB
ejpam-6099	189	20	aβ1ξ	aβ1ξ	PROPN
ejpam-6099	189	21	(	(	PUNCT
ejpam-6099	189	22	e	e	NOUN
ejpam-6099	189	23	−2	−2	NOUN
ejpam-6099	189	24	ξβ1	ξβ1	PROPN
ejpam-6099	189	25	β1	β1	PROPN
ejpam-6099	189	26	)	)	PUNCT
ejpam-6099	190	1	=	=	PUNCT
ejpam-6099	191	1	ψ	ψ	X
ejpam-6099	191	2	ψ+2	ψ+2	X
ejpam-6099	191	3	,	,	PUNCT
ejpam-6099	191	4	a	a	DET
ejpam-6099	191	5	β1	β1	PROPN
ejpam-6099	191	6	ξ	ξ	X
ejpam-6099	191	7	(	(	PUNCT
ejpam-6099	191	8	e	e	NOUN
ejpam-6099	191	9	−2	−2	NOUN
ejpam-6099	191	10	ξβ1	ξβ1	PROPN
ejpam-6099	191	11	β1	β1	PROPN
ejpam-6099	191	12	)	)	PUNCT
ejpam-6099	192	1	=	=	PUNCT
ejpam-6099	193	1	ψ	ψ	X
ejpam-6099	193	2	ψ+2	ψ+2	X
ejpam-6099	193	3	,	,	PUNCT
ejpam-6099	193	4	w	w	PROPN
ejpam-6099	193	5	β2	β2	PROPN
ejpam-6099	193	6	ρ	ρ	PROPN
ejpam-6099	193	7	(	(	PUNCT
ejpam-6099	193	8	e	e	PROPN
ejpam-6099	193	9	ρβ1	ρβ1	PROPN
ejpam-6099	193	10	β1	β1	PROPN
ejpam-6099	193	11	)	)	PUNCT
ejpam-6099	194	1	=	=	SYM
ejpam-6099	194	2	1	1	NUM
ejpam-6099	194	3	κ(1−κ	κ(1−κ	ADJ
ejpam-6099	194	4	)	)	PUNCT
ejpam-6099	194	5	,	,	PUNCT
ejpam-6099	194	6	w	w	PROPN
ejpam-6099	194	7	β2	β2	PROPN
ejpam-6099	194	8	ρ	ρ	PROPN
ejpam-6099	194	9	(	(	PUNCT
ejpam-6099	194	10	−2e	−2e	PROPN
ejpam-6099	194	11	ρβ1	ρβ1	PROPN
ejpam-6099	194	12	β1	β1	PROPN
ejpam-6099	194	13	)	)	PUNCT
ejpam-6099	194	14	=	=	SYM
ejpam-6099	195	1	−2	−2	NOUN
ejpam-6099	195	2	κ(1−κ	κ(1−κ	ADJ
ejpam-6099	195	3	)	)	PUNCT
ejpam-6099	195	4	.	.	PUNCT
ejpam-6099	196	1	apply	apply	VERB
ejpam-6099	196	2	the	the	DET
ejpam-6099	196	3	ca	ca	NOUN
ejpam-6099	196	4	-	-	PUNCT
ejpam-6099	196	5	sw	sw	NOUN
ejpam-6099	196	6	to	to	PART
ejpam-6099	196	7	equation	equation	NOUN
ejpam-6099	196	8	6	6	NUM
ejpam-6099	196	9	,	,	PUNCT
ejpam-6099	196	10	we	we	PRON
ejpam-6099	196	11	get	get	VERB
ejpam-6099	196	12	m.	m.	NOUN
ejpam-6099	196	13	al	al	PROPN
ejpam-6099	196	14	-	-	PUNCT
ejpam-6099	196	15	momani	momani	X
ejpam-6099	196	16	et	et	PROPN
ejpam-6099	196	17	al	al	PROPN
ejpam-6099	196	18	.	.	PUNCT
ejpam-6099	196	19	/	/	SYM
ejpam-6099	196	20	eur	eur	PROPN
ejpam-6099	196	21	.	.	PUNCT
ejpam-6099	197	1	j.	j.	PROPN
ejpam-6099	197	2	pure	pure	PROPN
ejpam-6099	197	3	appl	appl	PROPN
ejpam-6099	197	4	.	.	PROPN
ejpam-6099	197	5	math	math	PROPN
ejpam-6099	197	6	,	,	PUNCT
ejpam-6099	197	7	18	18	NUM
ejpam-6099	197	8	(	(	PUNCT
ejpam-6099	197	9	2	2	NUM
ejpam-6099	197	10	)	)	PUNCT
ejpam-6099	197	11	(	(	PUNCT
ejpam-6099	197	12	2025	2025	NUM
ejpam-6099	197	13	)	)	PUNCT
ejpam-6099	197	14	,	,	PUNCT
ejpam-6099	197	15	6099	6099	NUM
ejpam-6099	197	16	11	11	NUM
ejpam-6099	197	17	of	of	ADP
ejpam-6099	197	18	15	15	NUM
ejpam-6099	197	19	ψ2s	ψ2	VERB
ejpam-6099	197	20	−	−	PROPN
ejpam-6099	197	21	ψ2	ψ2	NOUN
ejpam-6099	197	22	κ	κ	X
ejpam-6099	197	23	(	(	PUNCT
ejpam-6099	197	24	1−	1−	NUM
ejpam-6099	197	25	κ	κ	NOUN
ejpam-6099	197	26	)	)	PUNCT
ejpam-6099	197	27	+	+	NUM
ejpam-6099	197	28	2ψ	2ψ	NUM
ejpam-6099	197	29	κ	κ	NOUN
ejpam-6099	197	30	(	(	PUNCT
ejpam-6099	197	31	1−	1−	NUM
ejpam-6099	197	32	κ	κ	NOUN
ejpam-6099	197	33	)	)	PUNCT
ejpam-6099	197	34	+	+	CCONJ
ejpam-6099	197	35	3	3	NUM
ejpam-6099	197	36	κ2	κ2	NOUN
ejpam-6099	197	37	s	s	PART
ejpam-6099	197	38	−	−	PROPN
ejpam-6099	197	39	3ψ	3ψ	NUM
ejpam-6099	197	40	κ3	κ3	PROPN
ejpam-6099	197	41	(	(	PUNCT
ejpam-6099	197	42	ψ	ψ	X
ejpam-6099	197	43	+	+	NOUN
ejpam-6099	197	44	2	2	NUM
ejpam-6099	197	45	)	)	PUNCT
ejpam-6099	197	46	−	−	PROPN
ejpam-6099	197	47	3ψ	3ψ	NUM
ejpam-6099	197	48	κ2	κ2	NOUN
ejpam-6099	197	49	(	(	PUNCT
ejpam-6099	197	50	ψ	ψ	X
ejpam-6099	197	51	+	+	NOUN
ejpam-6099	197	52	2	2	NUM
ejpam-6099	197	53	)	)	PUNCT
ejpam-6099	197	54	+	+	CCONJ
ejpam-6099	197	55	2	2	NUM
ejpam-6099	197	56	κ	κ	NOUN
ejpam-6099	197	57	s	s	NOUN
ejpam-6099	197	58	−	−	PROPN
ejpam-6099	197	59	2ψ	2ψ	NUM
ejpam-6099	197	60	κ2	κ2	NOUN
ejpam-6099	197	61	(	(	PUNCT
ejpam-6099	197	62	ψ	ψ	X
ejpam-6099	197	63	+	+	NOUN
ejpam-6099	197	64	2	2	NUM
ejpam-6099	197	65	)	)	PUNCT
ejpam-6099	197	66	=	=	NOUN
ejpam-6099	197	67	9s	9s	NUM
ejpam-6099	197	68	.	.	PUNCT
ejpam-6099	198	1	so	so	ADV
ejpam-6099	198	2	,	,	PUNCT
ejpam-6099	198	3	s(ψ	s(ψ	PROPN
ejpam-6099	198	4	,	,	PUNCT
ejpam-6099	198	5	κ	κ	NOUN
ejpam-6099	198	6	)	)	PUNCT
ejpam-6099	198	7	=	=	SYM
ejpam-6099	198	8	ψ2−2ψ	ψ2−2ψ	NOUN
ejpam-6099	198	9	κ(1−κ	κ(1−κ	ADJ
ejpam-6099	198	10	)	)	PUNCT
ejpam-6099	199	1	+	+	NUM
ejpam-6099	199	2	3ψ	3ψ	NUM
ejpam-6099	199	3	κ3(ψ+2	κ3(ψ+2	PROPN
ejpam-6099	199	4	)	)	PUNCT
ejpam-6099	199	5	+	+	CCONJ
ejpam-6099	199	6	2ψ	2ψ	NUM
ejpam-6099	199	7	κ2(ψ+2	κ2(ψ+2	NOUN
ejpam-6099	199	8	)	)	PUNCT
ejpam-6099	199	9	ψ2	ψ2	NOUN
ejpam-6099	199	10	+	+	CCONJ
ejpam-6099	199	11	3	3	NUM
ejpam-6099	199	12	κ2	κ2	NOUN
ejpam-6099	199	13	+	+	CCONJ
ejpam-6099	199	14	2	2	NUM
ejpam-6099	199	15	κ	κ	NOUN
ejpam-6099	199	16	−	−	PROPN
ejpam-6099	199	17	9	9	NUM
ejpam-6099	199	18	=	=	SYM
ejpam-6099	199	19	κ2(ψ−2)(ψ+2)+3(1−κ)+5κ(1−κ	κ2(ψ−2)(ψ+2)+3(1−κ)+5κ(1−κ	NOUN
ejpam-6099	199	20	)	)	PUNCT
ejpam-6099	199	21	κ3(ψ+2)(1−κ	κ3(ψ+2)(1−κ	PROPN
ejpam-6099	199	22	)	)	PUNCT
ejpam-6099	199	23	ψ2κ2−9κ2	ψ2κ2−9κ2	NOUN
ejpam-6099	199	24	+	+	PROPN
ejpam-6099	199	25	2κ+3	2κ+3	PROPN
ejpam-6099	199	26	κ2	κ2	NOUN
ejpam-6099	199	27	.	.	PUNCT
ejpam-6099	200	1	by	by	ADP
ejpam-6099	200	2	simplify	simplify	NOUN
ejpam-6099	200	3	,	,	PUNCT
ejpam-6099	200	4	s(ψ	s(ψ	PROPN
ejpam-6099	200	5	,	,	PUNCT
ejpam-6099	200	6	κ	κ	NOUN
ejpam-6099	200	7	)	)	PUNCT
ejpam-6099	200	8	=	=	PUNCT
ejpam-6099	200	9	ψ	ψ	X
ejpam-6099	200	10	κ	κ	X
ejpam-6099	200	11	(	(	PUNCT
ejpam-6099	200	12	ψ	ψ	NOUN
ejpam-6099	200	13	+	+	NOUN
ejpam-6099	200	14	2	2	NUM
ejpam-6099	200	15	)	)	PUNCT
ejpam-6099	200	16	(	(	PUNCT
ejpam-6099	200	17	1−	1−	NUM
ejpam-6099	200	18	κ	κ	NOUN
ejpam-6099	200	19	)	)	PUNCT
ejpam-6099	200	20	.	.	PUNCT
ejpam-6099	201	1	so	so	ADV
ejpam-6099	201	2	,	,	PUNCT
ejpam-6099	201	3	s(ξ	s(ξ	PROPN
ejpam-6099	201	4	,	,	PUNCT
ejpam-6099	201	5	ρ	ρ	NOUN
ejpam-6099	201	6	)	)	PUNCT
ejpam-6099	201	7	=	=	SYM
ejpam-6099	202	1	(	(	PUNCT
ejpam-6099	202	2	aβ1ξ	aβ1ξ	PROPN
ejpam-6099	202	3	)	)	PUNCT
ejpam-6099	202	4	−1	−1	NOUN
ejpam-6099	202	5	(	(	PUNCT
ejpam-6099	202	6	w	w	PROPN
ejpam-6099	202	7	β2	β2	NOUN
ejpam-6099	202	8	ρ	ρ	PROPN
ejpam-6099	202	9	)	)	PUNCT
ejpam-6099	202	10	−1	−1	NOUN
ejpam-6099	202	11	(	(	PUNCT
ejpam-6099	202	12	ψ	ψ	X
ejpam-6099	202	13	κ	κ	X
ejpam-6099	202	14	(	(	PUNCT
ejpam-6099	202	15	ψ	ψ	NOUN
ejpam-6099	202	16	+	+	NOUN
ejpam-6099	202	17	2	2	NUM
ejpam-6099	202	18	)	)	PUNCT
ejpam-6099	202	19	(	(	PUNCT
ejpam-6099	202	20	1−	1−	NUM
ejpam-6099	202	21	κ	κ	NOUN
ejpam-6099	202	22	)	)	PUNCT
ejpam-6099	202	23	)	)	PUNCT
ejpam-6099	203	1	=	=	PUNCT
ejpam-6099	203	2	e	e	X
ejpam-6099	203	3	−2	−2	NOUN
ejpam-6099	203	4	ξβ1	ξβ1	PROPN
ejpam-6099	203	5	β1	β1	PROPN
ejpam-6099	203	6	+	+	CCONJ
ejpam-6099	203	7	ρβ2	ρβ2	PROPN
ejpam-6099	203	8	β2	β2	NOUN
ejpam-6099	203	9	.	.	PUNCT
ejpam-6099	204	1	the	the	DET
ejpam-6099	204	2	following	follow	VERB
ejpam-6099	204	3	figures	figure	NOUN
ejpam-6099	204	4	show	show	VERB
ejpam-6099	204	5	the	the	DET
ejpam-6099	204	6	3d	3d	PROPN
ejpam-6099	204	7	representation	representation	NOUN
ejpam-6099	204	8	of	of	ADP
ejpam-6099	204	9	the	the	DET
ejpam-6099	204	10	solution	solution	NOUN
ejpam-6099	204	11	at	at	ADP
ejpam-6099	204	12	β1	β1	PROPN
ejpam-6099	204	13	=	=	SYM
ejpam-6099	204	14	β2	β2	NOUN
ejpam-6099	204	15	=	=	PROPN
ejpam-6099	204	16	0.4	0.4	NUM
ejpam-6099	204	17	,	,	PUNCT
ejpam-6099	204	18	1	1	NUM
ejpam-6099	204	19	.	.	X
ejpam-6099	204	20	figure	figure	NOUN
ejpam-6099	204	21	4	4	NUM
ejpam-6099	204	22	:	:	PUNCT
ejpam-6099	204	23	the	the	DET
ejpam-6099	204	24	3d	3d	PROPN
ejpam-6099	204	25	representation	representation	NOUN
ejpam-6099	204	26	of	of	ADP
ejpam-6099	204	27	the	the	DET
ejpam-6099	204	28	solution	solution	NOUN
ejpam-6099	204	29	at	at	ADP
ejpam-6099	204	30	β1	β1	PROPN
ejpam-6099	204	31	=	=	SYM
ejpam-6099	204	32	β2	β2	NOUN
ejpam-6099	204	33	=	=	PROPN
ejpam-6099	204	34	0.4	0.4	NUM
ejpam-6099	204	35	,	,	PUNCT
ejpam-6099	204	36	1	1	NUM
ejpam-6099	204	37	.	.	PUNCT
ejpam-6099	204	38	m.	m.	PROPN
ejpam-6099	204	39	al	al	PROPN
ejpam-6099	204	40	-	-	PUNCT
ejpam-6099	204	41	momani	momani	X
ejpam-6099	204	42	et	et	PROPN
ejpam-6099	204	43	al	al	PROPN
ejpam-6099	204	44	.	.	PUNCT
ejpam-6099	204	45	/	/	SYM
ejpam-6099	204	46	eur	eur	PROPN
ejpam-6099	204	47	.	.	PUNCT
ejpam-6099	205	1	j.	j.	PROPN
ejpam-6099	205	2	pure	pure	PROPN
ejpam-6099	205	3	appl	appl	PROPN
ejpam-6099	205	4	.	.	PROPN
ejpam-6099	205	5	math	math	PROPN
ejpam-6099	205	6	,	,	PUNCT
ejpam-6099	205	7	18	18	NUM
ejpam-6099	205	8	(	(	PUNCT
ejpam-6099	205	9	2	2	NUM
ejpam-6099	205	10	)	)	PUNCT
ejpam-6099	205	11	(	(	PUNCT
ejpam-6099	205	12	2025	2025	NUM
ejpam-6099	205	13	)	)	PUNCT
ejpam-6099	205	14	,	,	PUNCT
ejpam-6099	205	15	6099	6099	NUM
ejpam-6099	205	16	12	12	NUM
ejpam-6099	205	17	of	of	ADP
ejpam-6099	205	18	15	15	NUM
ejpam-6099	205	19	figure	figure	NOUN
ejpam-6099	205	20	4	4	NUM
ejpam-6099	205	21	illustrates	illustrate	VERB
ejpam-6099	205	22	the	the	DET
ejpam-6099	205	23	three	three	NUM
ejpam-6099	205	24	-	-	PUNCT
ejpam-6099	205	25	dimensional	dimensional	ADJ
ejpam-6099	205	26	plot	plot	NOUN
ejpam-6099	205	27	of	of	ADP
ejpam-6099	205	28	the	the	DET
ejpam-6099	205	29	solution	solution	NOUN
ejpam-6099	205	30	to	to	ADP
ejpam-6099	205	31	the	the	DET
ejpam-6099	205	32	conformable	conformable	ADJ
ejpam-6099	205	33	telegraph	telegraph	NOUN
ejpam-6099	205	34	equation	equation	NOUN
ejpam-6099	205	35	at	at	ADP
ejpam-6099	205	36	fractional	fractional	ADJ
ejpam-6099	205	37	orders	order	NOUN
ejpam-6099	205	38	β1	β1	NOUN
ejpam-6099	205	39	=	=	SYM
ejpam-6099	205	40	β2	β2	NOUN
ejpam-6099	205	41	=	=	NOUN
ejpam-6099	205	42	0.4	0.4	NUM
ejpam-6099	205	43	and	and	CCONJ
ejpam-6099	205	44	β1	β1	PROPN
ejpam-6099	205	45	=	=	SYM
ejpam-6099	205	46	β2	β2	NOUN
ejpam-6099	205	47	=	=	NOUN
ejpam-6099	205	48	1	1	X
ejpam-6099	205	49	.	.	PUNCT
ejpam-6099	206	1	the	the	DET
ejpam-6099	206	2	figure	figure	NOUN
ejpam-6099	206	3	demonstrates	demonstrate	VERB
ejpam-6099	206	4	that	that	PRON
ejpam-6099	206	5	for	for	ADP
ejpam-6099	206	6	β1	β1	PROPN
ejpam-6099	206	7	=	=	SYM
ejpam-6099	206	8	β2	β2	NOUN
ejpam-6099	206	9	=	=	NOUN
ejpam-6099	206	10	1	1	NUM
ejpam-6099	206	11	,	,	PUNCT
ejpam-6099	206	12	the	the	DET
ejpam-6099	206	13	surface	surface	NOUN
ejpam-6099	206	14	is	be	AUX
ejpam-6099	206	15	steeper	steep	ADJ
ejpam-6099	206	16	and	and	CCONJ
ejpam-6099	206	17	more	more	ADV
ejpam-6099	206	18	sharply	sharply	ADV
ejpam-6099	206	19	defined	define	VERB
ejpam-6099	206	20	,	,	PUNCT
ejpam-6099	206	21	corresponding	correspond	VERB
ejpam-6099	206	22	to	to	ADP
ejpam-6099	206	23	the	the	DET
ejpam-6099	206	24	classical	classical	ADJ
ejpam-6099	206	25	case	case	NOUN
ejpam-6099	206	26	.	.	PUNCT
ejpam-6099	207	1	when	when	SCONJ
ejpam-6099	207	2	β1	β1	PROPN
ejpam-6099	207	3	=	=	SYM
ejpam-6099	207	4	β2	β2	NOUN
ejpam-6099	207	5	=	=	NOUN
ejpam-6099	207	6	0.4	0.4	NUM
ejpam-6099	207	7	,	,	PUNCT
ejpam-6099	207	8	the	the	DET
ejpam-6099	207	9	surface	surface	NOUN
ejpam-6099	207	10	becomes	become	VERB
ejpam-6099	207	11	noticeably	noticeably	ADV
ejpam-6099	207	12	smoother	smooth	ADJ
ejpam-6099	207	13	and	and	CCONJ
ejpam-6099	207	14	the	the	DET
ejpam-6099	207	15	solution	solution	NOUN
ejpam-6099	207	16	exhibits	exhibit	VERB
ejpam-6099	207	17	a	a	DET
ejpam-6099	207	18	delayed	delayed	ADJ
ejpam-6099	207	19	and	and	CCONJ
ejpam-6099	207	20	slower	slow	ADJ
ejpam-6099	207	21	variation	variation	NOUN
ejpam-6099	207	22	,	,	PUNCT
ejpam-6099	207	23	indicating	indicate	VERB
ejpam-6099	207	24	the	the	DET
ejpam-6099	207	25	influence	influence	NOUN
ejpam-6099	207	26	of	of	ADP
ejpam-6099	207	27	fractional	fractional	ADJ
ejpam-6099	207	28	derivatives	derivative	NOUN
ejpam-6099	207	29	.	.	PUNCT
ejpam-6099	208	1	the	the	DET
ejpam-6099	208	2	following	follow	VERB
ejpam-6099	208	3	two	two	NUM
ejpam-6099	208	4	figures	figure	NOUN
ejpam-6099	208	5	illustrate	illustrate	VERB
ejpam-6099	208	6	the	the	DET
ejpam-6099	208	7	2d	2d	NUM
ejpam-6099	208	8	graph	graph	NOUN
ejpam-6099	208	9	of	of	ADP
ejpam-6099	208	10	the	the	DET
ejpam-6099	208	11	solution	solution	NOUN
ejpam-6099	208	12	with	with	ADP
ejpam-6099	208	13	respect	respect	NOUN
ejpam-6099	208	14	to	to	ADP
ejpam-6099	208	15	ξ	ξ	PROPN
ejpam-6099	208	16	and	and	CCONJ
ejpam-6099	208	17	ρ	ρ	PROPN
ejpam-6099	208	18	at	at	ADP
ejpam-6099	208	19	β1	β1	PROPN
ejpam-6099	208	20	=	=	SYM
ejpam-6099	208	21	β2	β2	NOUN
ejpam-6099	208	22	=	=	NOUN
ejpam-6099	208	23	0.6	0.6	NUM
ejpam-6099	208	24	,	,	PUNCT
ejpam-6099	208	25	0.8	0.8	NUM
ejpam-6099	208	26	,	,	PUNCT
ejpam-6099	208	27	1	1	NUM
ejpam-6099	208	28	.	.	X
ejpam-6099	208	29	figure	figure	NOUN
ejpam-6099	208	30	5	5	NUM
ejpam-6099	208	31	:	:	PUNCT
ejpam-6099	208	32	the	the	DET
ejpam-6099	208	33	2d	2d	NUM
ejpam-6099	208	34	graph	graph	NOUN
ejpam-6099	208	35	of	of	ADP
ejpam-6099	208	36	the	the	DET
ejpam-6099	208	37	solution	solution	NOUN
ejpam-6099	208	38	with	with	ADP
ejpam-6099	208	39	respect	respect	NOUN
ejpam-6099	208	40	to	to	ADP
ejpam-6099	208	41	ξ	ξ	PROPN
ejpam-6099	208	42	at	at	ADP
ejpam-6099	208	43	β1	β1	PROPN
ejpam-6099	208	44	=	=	SYM
ejpam-6099	208	45	β2	β2	NOUN
ejpam-6099	208	46	=	=	NOUN
ejpam-6099	208	47	0.6	0.6	NUM
ejpam-6099	208	48	,	,	PUNCT
ejpam-6099	208	49	0.8	0.8	NUM
ejpam-6099	208	50	,	,	PUNCT
ejpam-6099	208	51	1	1	NUM
ejpam-6099	208	52	.	.	PUNCT
ejpam-6099	208	53	m.	m.	PROPN
ejpam-6099	208	54	al	al	PROPN
ejpam-6099	208	55	-	-	PUNCT
ejpam-6099	208	56	momani	momani	X
ejpam-6099	208	57	et	et	PROPN
ejpam-6099	208	58	al	al	PROPN
ejpam-6099	208	59	.	.	PUNCT
ejpam-6099	208	60	/	/	SYM
ejpam-6099	208	61	eur	eur	PROPN
ejpam-6099	208	62	.	.	PUNCT
ejpam-6099	209	1	j.	j.	PROPN
ejpam-6099	209	2	pure	pure	PROPN
ejpam-6099	209	3	appl	appl	PROPN
ejpam-6099	209	4	.	.	PROPN
ejpam-6099	209	5	math	math	PROPN
ejpam-6099	209	6	,	,	PUNCT
ejpam-6099	209	7	18	18	NUM
ejpam-6099	209	8	(	(	PUNCT
ejpam-6099	209	9	2	2	NUM
ejpam-6099	209	10	)	)	PUNCT
ejpam-6099	209	11	(	(	PUNCT
ejpam-6099	209	12	2025	2025	NUM
ejpam-6099	209	13	)	)	PUNCT
ejpam-6099	209	14	,	,	PUNCT
ejpam-6099	209	15	6099	6099	NUM
ejpam-6099	209	16	13	13	NUM
ejpam-6099	209	17	of	of	ADP
ejpam-6099	209	18	15	15	NUM
ejpam-6099	209	19	figure	figure	NOUN
ejpam-6099	209	20	6	6	NUM
ejpam-6099	209	21	:	:	PUNCT
ejpam-6099	209	22	the	the	DET
ejpam-6099	209	23	2d	2d	NUM
ejpam-6099	209	24	graph	graph	NOUN
ejpam-6099	209	25	of	of	ADP
ejpam-6099	209	26	the	the	DET
ejpam-6099	209	27	solution	solution	NOUN
ejpam-6099	209	28	with	with	ADP
ejpam-6099	209	29	respect	respect	NOUN
ejpam-6099	209	30	to	to	ADP
ejpam-6099	209	31	ρ	ρ	NOUN
ejpam-6099	209	32	at	at	ADP
ejpam-6099	209	33	β1	β1	PROPN
ejpam-6099	209	34	=	=	SYM
ejpam-6099	209	35	β2	β2	NOUN
ejpam-6099	209	36	=	=	NOUN
ejpam-6099	209	37	0.6	0.6	NUM
ejpam-6099	209	38	,	,	PUNCT
ejpam-6099	209	39	0.8	0.8	NUM
ejpam-6099	209	40	,	,	PUNCT
ejpam-6099	209	41	1	1	NUM
ejpam-6099	209	42	.	.	NUM
ejpam-6099	209	43	figures	figure	NOUN
ejpam-6099	209	44	5	5	NUM
ejpam-6099	209	45	and	and	CCONJ
ejpam-6099	209	46	6	6	NUM
ejpam-6099	209	47	depict	depict	VERB
ejpam-6099	209	48	two	two	NUM
ejpam-6099	209	49	-	-	PUNCT
ejpam-6099	209	50	dimensional	dimensional	ADJ
ejpam-6099	209	51	profiles	profile	NOUN
ejpam-6099	209	52	of	of	ADP
ejpam-6099	209	53	the	the	DET
ejpam-6099	209	54	solution	solution	NOUN
ejpam-6099	209	55	of	of	ADP
ejpam-6099	209	56	the	the	DET
ejpam-6099	209	57	telegraph	telegraph	NOUN
ejpam-6099	209	58	equation	equation	NOUN
ejpam-6099	209	59	with	with	ADP
ejpam-6099	209	60	respect	respect	NOUN
ejpam-6099	209	61	to	to	ADP
ejpam-6099	209	62	ξ	ξ	PROPN
ejpam-6099	209	63	and	and	CCONJ
ejpam-6099	209	64	ρ	ρ	PROPN
ejpam-6099	209	65	,	,	PUNCT
ejpam-6099	209	66	respectively	respectively	ADV
ejpam-6099	209	67	,	,	PUNCT
ejpam-6099	209	68	for	for	ADP
ejpam-6099	209	69	fractional	fractional	ADJ
ejpam-6099	209	70	orders	order	NOUN
ejpam-6099	209	71	(	(	PUNCT
ejpam-6099	209	72	β1	β1	NOUN
ejpam-6099	209	73	=	=	SYM
ejpam-6099	209	74	β2	β2	NOUN
ejpam-6099	209	75	=	=	NOUN
ejpam-6099	209	76	0.6	0.6	NUM
ejpam-6099	209	77	,	,	PUNCT
ejpam-6099	209	78	0.8	0.8	NUM
ejpam-6099	209	79	,	,	PUNCT
ejpam-6099	209	80	1	1	NUM
ejpam-6099	209	81	)	)	PUNCT
ejpam-6099	209	82	.	.	PUNCT
ejpam-6099	210	1	figure	figure	NOUN
ejpam-6099	210	2	5	5	NUM
ejpam-6099	210	3	shows	show	VERB
ejpam-6099	210	4	that	that	SCONJ
ejpam-6099	210	5	as	as	ADP
ejpam-6099	210	6	ξ	ξ	PROPN
ejpam-6099	210	7	increases	increase	NOUN
ejpam-6099	210	8	,	,	PUNCT
ejpam-6099	210	9	the	the	DET
ejpam-6099	210	10	solution	solution	NOUN
ejpam-6099	210	11	’s	’s	PART
ejpam-6099	210	12	behavior	behavior	NOUN
ejpam-6099	210	13	changes	change	VERB
ejpam-6099	210	14	more	more	ADV
ejpam-6099	210	15	gradually	gradually	ADV
ejpam-6099	210	16	for	for	ADP
ejpam-6099	210	17	lower	low	ADJ
ejpam-6099	210	18	fractional	fractional	ADJ
ejpam-6099	210	19	orders	order	NOUN
ejpam-6099	210	20	.	.	PUNCT
ejpam-6099	211	1	figure	figure	NOUN
ejpam-6099	211	2	6	6	NUM
ejpam-6099	211	3	reveals	reveal	VERB
ejpam-6099	211	4	a	a	DET
ejpam-6099	211	5	similar	similar	ADJ
ejpam-6099	211	6	effect	effect	NOUN
ejpam-6099	211	7	along	along	ADP
ejpam-6099	211	8	the	the	DET
ejpam-6099	211	9	ρ	ρ	PROPN
ejpam-6099	211	10	direction	direction	NOUN
ejpam-6099	211	11	,	,	PUNCT
ejpam-6099	211	12	where	where	SCONJ
ejpam-6099	211	13	lower	low	ADJ
ejpam-6099	211	14	fractional	fractional	ADJ
ejpam-6099	211	15	orders	order	NOUN
ejpam-6099	211	16	result	result	VERB
ejpam-6099	211	17	in	in	ADP
ejpam-6099	211	18	a	a	DET
ejpam-6099	211	19	slower	slow	ADJ
ejpam-6099	211	20	and	and	CCONJ
ejpam-6099	211	21	smoother	smooth	ADJ
ejpam-6099	211	22	evolution	evolution	NOUN
ejpam-6099	211	23	of	of	ADP
ejpam-6099	211	24	the	the	DET
ejpam-6099	211	25	solution	solution	NOUN
ejpam-6099	211	26	,	,	PUNCT
ejpam-6099	211	27	confirming	confirm	VERB
ejpam-6099	211	28	the	the	DET
ejpam-6099	211	29	theoretical	theoretical	ADJ
ejpam-6099	211	30	expectations	expectation	NOUN
ejpam-6099	211	31	based	base	VERB
ejpam-6099	211	32	on	on	ADP
ejpam-6099	211	33	the	the	DET
ejpam-6099	211	34	properties	property	NOUN
ejpam-6099	211	35	of	of	ADP
ejpam-6099	211	36	conformable	conformable	ADJ
ejpam-6099	211	37	derivatives	derivative	NOUN
ejpam-6099	211	38	.	.	PUNCT
ejpam-6099	212	1	5	5	X
ejpam-6099	212	2	.	.	X
ejpam-6099	212	3	conclusion	conclusion	NOUN
ejpam-6099	212	4	this	this	DET
ejpam-6099	212	5	study	study	NOUN
ejpam-6099	212	6	introduced	introduce	VERB
ejpam-6099	212	7	the	the	DET
ejpam-6099	212	8	ca	ca	NOUN
ejpam-6099	212	9	-	-	PUNCT
ejpam-6099	212	10	sw	sw	PROPN
ejpam-6099	212	11	and	and	CCONJ
ejpam-6099	212	12	examined	examine	VERB
ejpam-6099	212	13	its	its	PRON
ejpam-6099	212	14	application	application	NOUN
ejpam-6099	212	15	to	to	PART
ejpam-6099	212	16	conformable	conformable	VERB
ejpam-6099	212	17	fractional	fractional	ADJ
ejpam-6099	212	18	partial	partial	ADJ
ejpam-6099	212	19	differential	differential	NOUN
ejpam-6099	212	20	equations	equation	NOUN
ejpam-6099	212	21	.	.	PUNCT
ejpam-6099	213	1	we	we	PRON
ejpam-6099	213	2	demonstrated	demonstrate	VERB
ejpam-6099	213	3	its	its	PRON
ejpam-6099	213	4	effectiveness	effectiveness	NOUN
ejpam-6099	213	5	in	in	ADP
ejpam-6099	213	6	solving	solve	VERB
ejpam-6099	213	7	these	these	DET
ejpam-6099	213	8	equations	equation	NOUN
ejpam-6099	213	9	,	,	PUNCT
ejpam-6099	213	10	highlighting	highlight	VERB
ejpam-6099	213	11	its	its	PRON
ejpam-6099	213	12	potential	potential	NOUN
ejpam-6099	213	13	as	as	ADP
ejpam-6099	213	14	a	a	DET
ejpam-6099	213	15	useful	useful	ADJ
ejpam-6099	213	16	mathematical	mathematical	ADJ
ejpam-6099	213	17	tool	tool	NOUN
ejpam-6099	213	18	.	.	PUNCT
ejpam-6099	214	1	as	as	ADP
ejpam-6099	214	2	a	a	DET
ejpam-6099	214	3	newly	newly	ADV
ejpam-6099	214	4	developed	develop	VERB
ejpam-6099	214	5	approach	approach	NOUN
ejpam-6099	214	6	,	,	PUNCT
ejpam-6099	214	7	ca	ca	NOUN
ejpam-6099	214	8	-	-	PUNCT
ejpam-6099	214	9	sw	sw	PROPN
ejpam-6099	214	10	presents	present	VERB
ejpam-6099	214	11	several	several	ADJ
ejpam-6099	214	12	open	open	ADJ
ejpam-6099	214	13	problems	problem	NOUN
ejpam-6099	214	14	and	and	CCONJ
ejpam-6099	214	15	opportunities	opportunity	NOUN
ejpam-6099	214	16	for	for	ADP
ejpam-6099	214	17	further	further	ADJ
ejpam-6099	214	18	research	research	NOUN
ejpam-6099	214	19	.	.	PUNCT
ejpam-6099	215	1	its	its	PRON
ejpam-6099	215	2	ability	ability	NOUN
ejpam-6099	215	3	to	to	PART
ejpam-6099	215	4	handle	handle	VERB
ejpam-6099	215	5	complex	complex	ADJ
ejpam-6099	215	6	fractional	fractional	ADJ
ejpam-6099	215	7	models	model	NOUN
ejpam-6099	215	8	makes	make	VERB
ejpam-6099	215	9	it	it	PRON
ejpam-6099	215	10	valuable	valuable	ADJ
ejpam-6099	215	11	for	for	ADP
ejpam-6099	215	12	applications	application	NOUN
ejpam-6099	215	13	in	in	ADP
ejpam-6099	215	14	physics	physics	NOUN
ejpam-6099	215	15	,	,	PUNCT
ejpam-6099	215	16	engineering	engineering	NOUN
ejpam-6099	215	17	,	,	PUNCT
ejpam-6099	215	18	and	and	CCONJ
ejpam-6099	215	19	related	related	ADJ
ejpam-6099	215	20	fields	field	NOUN
ejpam-6099	215	21	.	.	PUNCT
ejpam-6099	216	1	author	author	NOUN
ejpam-6099	216	2	contribution	contribution	NOUN
ejpam-6099	216	3	statement	statement	NOUN
ejpam-6099	216	4	the	the	DET
ejpam-6099	216	5	listed	list	VERB
ejpam-6099	216	6	authors	author	NOUN
ejpam-6099	216	7	have	have	AUX
ejpam-6099	216	8	played	play	VERB
ejpam-6099	216	9	a	a	DET
ejpam-6099	216	10	key	key	ADJ
ejpam-6099	216	11	role	role	NOUN
ejpam-6099	216	12	in	in	ADP
ejpam-6099	216	13	developing	develop	VERB
ejpam-6099	216	14	and	and	CCONJ
ejpam-6099	216	15	writing	write	VERB
ejpam-6099	216	16	this	this	DET
ejpam-6099	216	17	article	article	NOUN
ejpam-6099	216	18	.	.	PUNCT
ejpam-6099	217	1	data	datum	NOUN
ejpam-6099	217	2	availability	availability	NOUN
ejpam-6099	217	3	statement	statement	NOUN
ejpam-6099	217	4	this	this	DET
ejpam-6099	217	5	research	research	NOUN
ejpam-6099	217	6	did	do	AUX
ejpam-6099	217	7	not	not	PART
ejpam-6099	217	8	involve	involve	VERB
ejpam-6099	217	9	the	the	DET
ejpam-6099	217	10	use	use	NOUN
ejpam-6099	217	11	of	of	ADP
ejpam-6099	217	12	any	any	DET
ejpam-6099	217	13	data	datum	NOUN
ejpam-6099	217	14	.	.	PUNCT
ejpam-6099	218	1	m.	m.	NOUN
ejpam-6099	218	2	al	al	PROPN
ejpam-6099	218	3	-	-	PUNCT
ejpam-6099	218	4	momani	momani	X
ejpam-6099	218	5	et	et	PROPN
ejpam-6099	218	6	al	al	PROPN
ejpam-6099	218	7	.	.	PUNCT
ejpam-6099	218	8	/	/	SYM
ejpam-6099	218	9	eur	eur	PROPN
ejpam-6099	218	10	.	.	PUNCT
ejpam-6099	219	1	j.	j.	PROPN
ejpam-6099	219	2	pure	pure	PROPN
ejpam-6099	219	3	appl	appl	PROPN
ejpam-6099	219	4	.	.	PROPN
ejpam-6099	219	5	math	math	PROPN
ejpam-6099	219	6	,	,	PUNCT
ejpam-6099	219	7	18	18	NUM
ejpam-6099	219	8	(	(	PUNCT
ejpam-6099	219	9	2	2	NUM
ejpam-6099	219	10	)	)	PUNCT
ejpam-6099	219	11	(	(	PUNCT
ejpam-6099	219	12	2025	2025	NUM
ejpam-6099	219	13	)	)	PUNCT
ejpam-6099	219	14	,	,	PUNCT
ejpam-6099	219	15	6099	6099	NUM
ejpam-6099	219	16	14	14	NUM
ejpam-6099	219	17	of	of	ADP
ejpam-6099	219	18	15	15	NUM
ejpam-6099	219	19	conflict	conflict	NOUN
ejpam-6099	219	20	of	of	ADP
ejpam-6099	219	21	interest	interest	NOUN
ejpam-6099	219	22	the	the	DET
ejpam-6099	219	23	authors	author	NOUN
ejpam-6099	219	24	confirm	confirm	VERB
ejpam-6099	219	25	that	that	SCONJ
ejpam-6099	219	26	there	there	PRON
ejpam-6099	219	27	are	be	VERB
ejpam-6099	219	28	no	no	DET
ejpam-6099	219	29	conflicts	conflict	NOUN
ejpam-6099	219	30	of	of	ADP
ejpam-6099	219	31	interest	interest	NOUN
ejpam-6099	219	32	.	.	PUNCT
ejpam-6099	220	1	references	reference	NOUN
ejpam-6099	220	2	[	[	X
ejpam-6099	220	3	1	1	NUM
ejpam-6099	220	4	]	]	PUNCT
ejpam-6099	220	5	roshdi	roshdi	NOUN
ejpam-6099	220	6	khalil	khalil	PROPN
ejpam-6099	220	7	,	,	PUNCT
ejpam-6099	220	8	mohammed	mohammed	PROPN
ejpam-6099	220	9	al	al	PROPN
ejpam-6099	220	10	horani	horani	PROPN
ejpam-6099	220	11	,	,	PUNCT
ejpam-6099	220	12	ahmad	ahmad	PROPN
ejpam-6099	220	13	yousef	yousef	PROPN
ejpam-6099	220	14	,	,	PUNCT
ejpam-6099	220	15	and	and	CCONJ
ejpam-6099	220	16	mohammad	mohammad	PROPN
ejpam-6099	220	17	sababheh	sababheh	PROPN
ejpam-6099	220	18	.	.	PUNCT
ejpam-6099	221	1	a	a	DET
ejpam-6099	221	2	new	new	ADJ
ejpam-6099	221	3	definition	definition	NOUN
ejpam-6099	221	4	of	of	ADP
ejpam-6099	221	5	fractional	fractional	ADJ
ejpam-6099	221	6	derivative	derivative	NOUN
ejpam-6099	221	7	.	.	PUNCT
ejpam-6099	222	1	journal	journal	PROPN
ejpam-6099	222	2	of	of	ADP
ejpam-6099	222	3	computational	computational	ADJ
ejpam-6099	222	4	and	and	CCONJ
ejpam-6099	222	5	applied	applied	ADJ
ejpam-6099	222	6	mathematics	mathematic	NOUN
ejpam-6099	222	7	,	,	PUNCT
ejpam-6099	222	8	264:65–70	264:65–70	NUM
ejpam-6099	222	9	,	,	PUNCT
ejpam-6099	222	10	2014	2014	NUM
ejpam-6099	222	11	.	.	PUNCT
ejpam-6099	223	1	[	[	X
ejpam-6099	223	2	2	2	X
ejpam-6099	223	3	]	]	PUNCT
ejpam-6099	223	4	f.	f.	PROPN
ejpam-6099	223	5	s.	s.	PROPN
ejpam-6099	223	6	silva	silva	PROPN
ejpam-6099	223	7	,	,	PUNCT
ejpam-6099	223	8	d.	d.	PROPN
ejpam-6099	223	9	m.	m.	PROPN
ejpam-6099	223	10	moreira	moreira	PROPN
ejpam-6099	223	11	,	,	PUNCT
ejpam-6099	223	12	and	and	CCONJ
ejpam-6099	223	13	m.	m.	NOUN
ejpam-6099	223	14	a.	a.	PROPN
ejpam-6099	223	15	moret	moret	PROPN
ejpam-6099	223	16	.	.	PUNCT
ejpam-6099	224	1	conformable	conformable	ADJ
ejpam-6099	224	2	laplace	laplace	NOUN
ejpam-6099	224	3	transform	transform	NOUN
ejpam-6099	224	4	of	of	ADP
ejpam-6099	224	5	fractional	fractional	ADJ
ejpam-6099	224	6	differential	differential	ADJ
ejpam-6099	224	7	equations	equation	NOUN
ejpam-6099	224	8	.	.	PUNCT
ejpam-6099	225	1	axioms	axiom	NOUN
ejpam-6099	225	2	,	,	PUNCT
ejpam-6099	225	3	7(3):55	7(3):55	NUM
ejpam-6099	225	4	,	,	PUNCT
ejpam-6099	225	5	2018	2018	NUM
ejpam-6099	225	6	.	.	PUNCT
ejpam-6099	226	1	[	[	X
ejpam-6099	226	2	3	3	X
ejpam-6099	226	3	]	]	PUNCT
ejpam-6099	226	4	osman	osman	PROPN
ejpam-6099	226	5	özkan	özkan	PROPN
ejpam-6099	226	6	and	and	CCONJ
ejpam-6099	226	7	ali	ali	PROPN
ejpam-6099	226	8	kurt	kurt	PROPN
ejpam-6099	226	9	.	.	PUNCT
ejpam-6099	227	1	on	on	ADP
ejpam-6099	227	2	conformable	conformable	ADJ
ejpam-6099	227	3	double	double	ADJ
ejpam-6099	227	4	laplace	laplace	NOUN
ejpam-6099	227	5	transform	transform	NOUN
ejpam-6099	227	6	.	.	PUNCT
ejpam-6099	228	1	optical	optical	ADJ
ejpam-6099	228	2	and	and	CCONJ
ejpam-6099	228	3	quantum	quantum	NOUN
ejpam-6099	228	4	electronics	electronic	NOUN
ejpam-6099	228	5	,	,	PUNCT
ejpam-6099	228	6	50(2):103	50(2):103	NUM
ejpam-6099	228	7	,	,	PUNCT
ejpam-6099	228	8	2018	2018	NUM
ejpam-6099	228	9	.	.	PUNCT
ejpam-6099	229	1	[	[	X
ejpam-6099	229	2	4	4	NUM
ejpam-6099	229	3	]	]	X
ejpam-6099	229	4	r	r	NOUN
ejpam-6099	229	5	abu	abu	PROPN
ejpam-6099	229	6	awwad	awwad	PROPN
ejpam-6099	229	7	,	,	PUNCT
ejpam-6099	229	8	m	m	PROPN
ejpam-6099	229	9	al	al	PROPN
ejpam-6099	229	10	-	-	PUNCT
ejpam-6099	229	11	momani	momani	PROPN
ejpam-6099	229	12	,	,	PUNCT
ejpam-6099	229	13	b.	b.	PROPN
ejpam-6099	229	14	abughazaleh	abughazaleh	PROPN
ejpam-6099	229	15	,	,	PUNCT
ejpam-6099	229	16	a	a	DET
ejpam-6099	229	17	jaradat	jaradat	NOUN
ejpam-6099	229	18	,	,	PUNCT
ejpam-6099	229	19	and	and	CCONJ
ejpam-6099	229	20	a	a	DET
ejpam-6099	229	21	farah	farah	PROPN
ejpam-6099	229	22	.	.	PUNCT
ejpam-6099	230	1	the	the	DET
ejpam-6099	230	2	conformable	conformable	ADJ
ejpam-6099	230	3	double	double	ADJ
ejpam-6099	230	4	laplace	laplace	NOUN
ejpam-6099	230	5	-	-	PUNCT
ejpam-6099	230	6	sawi	sawi	NOUN
ejpam-6099	230	7	transform	transform	NOUN
ejpam-6099	230	8	.	.	PUNCT
ejpam-6099	231	1	european	european	PROPN
ejpam-6099	231	2	journal	journal	PROPN
ejpam-6099	231	3	of	of	ADP
ejpam-6099	231	4	pure	pure	ADJ
ejpam-6099	231	5	and	and	CCONJ
ejpam-6099	231	6	applied	applied	ADJ
ejpam-6099	231	7	mathematics	mathematic	NOUN
ejpam-6099	231	8	,	,	PUNCT
ejpam-6099	231	9	18(2):603–634	18(2):603–634	PROPN
ejpam-6099	231	10	,	,	PUNCT
ejpam-6099	231	11	2025	2025	NUM
ejpam-6099	231	12	.	.	PUNCT
ejpam-6099	232	1	[	[	X
ejpam-6099	232	2	5	5	NUM
ejpam-6099	232	3	]	]	PUNCT
ejpam-6099	232	4	suliman	suliman	NOUN
ejpam-6099	232	5	alfaqeih	alfaqeih	PROPN
ejpam-6099	232	6	,	,	PUNCT
ejpam-6099	232	7	gizel	gizel	PROPN
ejpam-6099	232	8	bakiçierler	bakiçierler	NOUN
ejpam-6099	232	9	,	,	PUNCT
ejpam-6099	232	10	and	and	CCONJ
ejpam-6099	232	11	emine	emine	NOUN
ejpam-6099	232	12	misirli	misirli	NOUN
ejpam-6099	232	13	.	.	PUNCT
ejpam-6099	233	1	conformable	conformable	ADJ
ejpam-6099	233	2	double	double	ADJ
ejpam-6099	233	3	sumudu	sumudu	NOUN
ejpam-6099	233	4	transform	transform	NOUN
ejpam-6099	233	5	with	with	ADP
ejpam-6099	233	6	applications	application	NOUN
ejpam-6099	233	7	.	.	PUNCT
ejpam-6099	234	1	journal	journal	NOUN
ejpam-6099	234	2	of	of	ADP
ejpam-6099	234	3	applied	applied	ADJ
ejpam-6099	234	4	and	and	CCONJ
ejpam-6099	234	5	computational	computational	ADJ
ejpam-6099	234	6	mechanics	mechanic	NOUN
ejpam-6099	234	7	,	,	PUNCT
ejpam-6099	234	8	7(2):578–586	7(2):578–586	NOUN
ejpam-6099	234	9	,	,	PUNCT
ejpam-6099	234	10	2021	2021	NUM
ejpam-6099	234	11	.	.	PUNCT
ejpam-6099	235	1	[	[	X
ejpam-6099	235	2	6	6	NUM
ejpam-6099	235	3	]	]	X
ejpam-6099	235	4	r	r	NOUN
ejpam-6099	235	5	abu	abu	PROPN
ejpam-6099	235	6	awwad	awwad	PROPN
ejpam-6099	235	7	,	,	PUNCT
ejpam-6099	235	8	m	m	PROPN
ejpam-6099	235	9	al	al	PROPN
ejpam-6099	235	10	-	-	PUNCT
ejpam-6099	235	11	momani	momani	PROPN
ejpam-6099	235	12	,	,	PUNCT
ejpam-6099	235	13	a	a	DET
ejpam-6099	235	14	jaradat	jaradat	PROPN
ejpam-6099	235	15	,	,	PUNCT
ejpam-6099	235	16	b	b	NOUN
ejpam-6099	235	17	abughazaleh	abughazaleh	NOUN
ejpam-6099	235	18	,	,	PUNCT
ejpam-6099	235	19	and	and	CCONJ
ejpam-6099	235	20	a	a	DET
ejpam-6099	235	21	al	al	NOUN
ejpam-6099	235	22	-	-	PUNCT
ejpam-6099	235	23	natoor	natoor	NOUN
ejpam-6099	235	24	.	.	PUNCT
ejpam-6099	236	1	the	the	DET
ejpam-6099	236	2	double	double	ADJ
ejpam-6099	236	3	ara	ara	NOUN
ejpam-6099	236	4	-	-	PUNCT
ejpam-6099	236	5	sawi	sawi	NOUN
ejpam-6099	236	6	transform	transform	NOUN
ejpam-6099	236	7	.	.	PUNCT
ejpam-6099	237	1	european	european	PROPN
ejpam-6099	237	2	journal	journal	PROPN
ejpam-6099	237	3	of	of	ADP
ejpam-6099	237	4	pure	pure	ADJ
ejpam-6099	237	5	and	and	CCONJ
ejpam-6099	237	6	applied	applied	ADJ
ejpam-6099	237	7	mathematics	mathematic	NOUN
ejpam-6099	237	8	,	,	PUNCT
ejpam-6099	237	9	18(1):580–607	18(1):580–607	PROPN
ejpam-6099	237	10	,	,	PUNCT
ejpam-6099	237	11	2025	2025	NUM
ejpam-6099	237	12	.	.	PUNCT
ejpam-6099	238	1	[	[	X
ejpam-6099	238	2	7	7	X
ejpam-6099	238	3	]	]	X
ejpam-6099	238	4	maha	maha	NOUN
ejpam-6099	238	5	m.	m.	PROPN
ejpam-6099	238	6	mahgoub	mahgoub	PROPN
ejpam-6099	238	7	and	and	CCONJ
ejpam-6099	238	8	mohammed	mohammed	PROPN
ejpam-6099	238	9	mohand	mohand	PROPN
ejpam-6099	238	10	.	.	PUNCT
ejpam-6099	239	1	the	the	DET
ejpam-6099	239	2	new	new	ADJ
ejpam-6099	239	3	integral	integral	ADJ
ejpam-6099	239	4	transform	transform	NOUN
ejpam-6099	239	5	“	"	PUNCT
ejpam-6099	239	6	sawi	sawi	ADJ
ejpam-6099	239	7	transform	transform	NOUN
ejpam-6099	239	8	”	"	PUNCT
ejpam-6099	239	9	.	.	PUNCT
ejpam-6099	240	1	advances	advance	NOUN
ejpam-6099	240	2	in	in	ADP
ejpam-6099	240	3	theoretical	theoretical	ADJ
ejpam-6099	240	4	and	and	CCONJ
ejpam-6099	240	5	applied	apply	VERB
ejpam-6099	240	6	mathematics	mathematic	NOUN
ejpam-6099	240	7	,	,	PUNCT
ejpam-6099	240	8	14(1):81–87	14(1):81–87	NUM
ejpam-6099	240	9	,	,	PUNCT
ejpam-6099	240	10	2019	2019	NUM
ejpam-6099	240	11	.	.	PUNCT
ejpam-6099	241	1	[	[	X
ejpam-6099	241	2	8	8	NUM
ejpam-6099	241	3	]	]	X
ejpam-6099	241	4	mohammad	mohammad	PROPN
ejpam-6099	241	5	hunaiber	hunaiber	PROPN
ejpam-6099	241	6	and	and	CCONJ
ejpam-6099	241	7	ahmad	ahmad	PROPN
ejpam-6099	241	8	al	al	PROPN
ejpam-6099	241	9	-	-	PUNCT
ejpam-6099	241	10	aati	aati	PROPN
ejpam-6099	241	11	.	.	PUNCT
ejpam-6099	242	1	on	on	ADP
ejpam-6099	242	2	double	double	ADJ
ejpam-6099	242	3	laplace	laplace	NOUN
ejpam-6099	242	4	-	-	PUNCT
ejpam-6099	242	5	shehu	shehu	NOUN
ejpam-6099	242	6	transform	transform	NOUN
ejpam-6099	242	7	and	and	CCONJ
ejpam-6099	242	8	its	its	PRON
ejpam-6099	242	9	properties	property	NOUN
ejpam-6099	242	10	with	with	ADP
ejpam-6099	242	11	applications	application	NOUN
ejpam-6099	242	12	.	.	PUNCT
ejpam-6099	243	1	turkish	turkish	ADJ
ejpam-6099	243	2	journal	journal	NOUN
ejpam-6099	243	3	of	of	ADP
ejpam-6099	243	4	mathematics	mathematic	NOUN
ejpam-6099	243	5	and	and	CCONJ
ejpam-6099	243	6	computer	computer	NOUN
ejpam-6099	243	7	science	science	NOUN
ejpam-6099	243	8	,	,	PUNCT
ejpam-6099	243	9	15(2):218–226	15(2):218–226	NOUN
ejpam-6099	243	10	,	,	PUNCT
ejpam-6099	243	11	2023	2023	NUM
ejpam-6099	243	12	.	.	PUNCT
ejpam-6099	244	1	[	[	X
ejpam-6099	244	2	9	9	NUM
ejpam-6099	244	3	]	]	SYM
ejpam-6099	244	4	m	m	VERB
ejpam-6099	244	5	al	al	PROPN
ejpam-6099	244	6	-	-	PUNCT
ejpam-6099	244	7	momani	momani	PROPN
ejpam-6099	244	8	,	,	PUNCT
ejpam-6099	244	9	a	a	DET
ejpam-6099	244	10	jaradat	jaradat	NOUN
ejpam-6099	244	11	,	,	PUNCT
ejpam-6099	244	12	and	and	CCONJ
ejpam-6099	244	13	b	b	X
ejpam-6099	244	14	abughazaleh	abughazaleh	NOUN
ejpam-6099	244	15	.	.	PUNCT
ejpam-6099	245	1	double	double	ADJ
ejpam-6099	245	2	laplace	laplace	NOUN
ejpam-6099	245	3	-	-	PUNCT
ejpam-6099	245	4	sawi	sawi	NOUN
ejpam-6099	245	5	transform	transform	NOUN
ejpam-6099	245	6	.	.	PUNCT
ejpam-6099	246	1	european	european	PROPN
ejpam-6099	246	2	journal	journal	PROPN
ejpam-6099	246	3	of	of	ADP
ejpam-6099	246	4	pure	pure	ADJ
ejpam-6099	246	5	and	and	CCONJ
ejpam-6099	246	6	applied	applied	ADJ
ejpam-6099	246	7	mathematics	mathematic	NOUN
ejpam-6099	246	8	,	,	PUNCT
ejpam-6099	246	9	18(1):561–619	18(1):561–619	NUM
ejpam-6099	246	10	,	,	PUNCT
ejpam-6099	246	11	2025	2025	NUM
ejpam-6099	246	12	.	.	PUNCT
ejpam-6099	247	1	[	[	X
ejpam-6099	247	2	10	10	NUM
ejpam-6099	247	3	]	]	X
ejpam-6099	247	4	sabir	sabir	PROPN
ejpam-6099	247	5	khan	khan	PROPN
ejpam-6099	247	6	,	,	PUNCT
ejpam-6099	247	7	atta	atta	PROPN
ejpam-6099	247	8	ullah	ullah	PROPN
ejpam-6099	247	9	,	,	PUNCT
ejpam-6099	247	10	manuel	manuel	PROPN
ejpam-6099	247	11	de	de	PROPN
ejpam-6099	247	12	la	la	PROPN
ejpam-6099	247	13	sen	sen	PROPN
ejpam-6099	247	14	,	,	PUNCT
ejpam-6099	247	15	and	and	CCONJ
ejpam-6099	247	16	saeed	saeed	PROPN
ejpam-6099	247	17	ahmad	ahmad	PROPN
ejpam-6099	247	18	.	.	PROPN
ejpam-6099	247	19	double	double	ADJ
ejpam-6099	247	20	sawi	sawi	PROPN
ejpam-6099	247	21	transform	transform	NOUN
ejpam-6099	247	22	:	:	PUNCT
ejpam-6099	247	23	theory	theory	NOUN
ejpam-6099	247	24	and	and	CCONJ
ejpam-6099	247	25	applications	application	NOUN
ejpam-6099	247	26	to	to	ADP
ejpam-6099	247	27	boundary	boundary	ADJ
ejpam-6099	247	28	value	value	NOUN
ejpam-6099	247	29	problems	problem	NOUN
ejpam-6099	247	30	.	.	PUNCT
ejpam-6099	248	1	symmetry	symmetry	NOUN
ejpam-6099	248	2	,	,	PUNCT
ejpam-6099	248	3	15(4):921	15(4):921	NUM
ejpam-6099	248	4	,	,	PUNCT
ejpam-6099	248	5	2023	2023	NUM
ejpam-6099	248	6	.	.	PUNCT
ejpam-6099	249	1	[	[	X
ejpam-6099	249	2	11	11	NUM
ejpam-6099	249	3	]	]	SYM
ejpam-6099	249	4	b	b	X
ejpam-6099	249	5	abughazaleh	abughazaleh	NOUN
ejpam-6099	249	6	,	,	PUNCT
ejpam-6099	249	7	m.	m.	NOUN
ejpam-6099	249	8	a.	a.	PROPN
ejpam-6099	249	9	amleh	amleh	PROPN
ejpam-6099	249	10	,	,	PUNCT
ejpam-6099	249	11	a	a	DET
ejpam-6099	249	12	al	al	NOUN
ejpam-6099	249	13	-	-	PUNCT
ejpam-6099	249	14	natoor	natoor	NOUN
ejpam-6099	249	15	,	,	PUNCT
ejpam-6099	249	16	and	and	CCONJ
ejpam-6099	249	17	r	r	NOUN
ejpam-6099	249	18	saadeh	saadeh	PROPN
ejpam-6099	249	19	.	.	PUNCT
ejpam-6099	250	1	double	double	ADJ
ejpam-6099	250	2	mellin	mellin	PROPN
ejpam-6099	250	3	-	-	PUNCT
ejpam-6099	250	4	ara	ara	NOUN
ejpam-6099	250	5	transform	transform	NOUN
ejpam-6099	250	6	.	.	PUNCT
ejpam-6099	251	1	springer	springer	NOUN
ejpam-6099	251	2	proceedings	proceeding	NOUN
ejpam-6099	251	3	in	in	ADP
ejpam-6099	251	4	mathematics	mathematic	NOUN
ejpam-6099	251	5	and	and	CCONJ
ejpam-6099	251	6	statistics	statistic	NOUN
ejpam-6099	251	7	,	,	PUNCT
ejpam-6099	251	8	466:383–394	466:383–394	NUM
ejpam-6099	251	9	,	,	PUNCT
ejpam-6099	251	10	2024	2024	NUM
ejpam-6099	251	11	.	.	PUNCT
ejpam-6099	252	1	[	[	X
ejpam-6099	252	2	12	12	NUM
ejpam-6099	252	3	]	]	X
ejpam-6099	252	4	r	r	NOUN
ejpam-6099	252	5	abu	abu	PROPN
ejpam-6099	252	6	awwad	awwad	PROPN
ejpam-6099	252	7	,	,	PUNCT
ejpam-6099	252	8	m	m	PROPN
ejpam-6099	252	9	al	al	PROPN
ejpam-6099	252	10	-	-	PUNCT
ejpam-6099	252	11	momani	momani	NOUN
ejpam-6099	252	12	,	,	PUNCT
ejpam-6099	252	13	b	b	PROPN
ejpam-6099	252	14	abughazaleh	abughazaleh	NOUN
ejpam-6099	252	15	,	,	PUNCT
ejpam-6099	252	16	a	a	DET
ejpam-6099	252	17	jaradat	jaradat	NOUN
ejpam-6099	252	18	,	,	PUNCT
ejpam-6099	252	19	and	and	CCONJ
ejpam-6099	252	20	a	a	DET
ejpam-6099	252	21	farah	farah	PROPN
ejpam-6099	252	22	.	.	PUNCT
ejpam-6099	253	1	the	the	DET
ejpam-6099	253	2	double	double	ADJ
ejpam-6099	253	3	sumudu	sumudu	NOUN
ejpam-6099	253	4	-	-	PUNCT
ejpam-6099	253	5	sawi	sawi	NOUN
ejpam-6099	253	6	transform	transform	NOUN
ejpam-6099	253	7	.	.	PUNCT
ejpam-6099	254	1	european	european	PROPN
ejpam-6099	254	2	journal	journal	PROPN
ejpam-6099	254	3	of	of	ADP
ejpam-6099	254	4	pure	pure	ADJ
ejpam-6099	254	5	and	and	CCONJ
ejpam-6099	254	6	applied	applied	ADJ
ejpam-6099	254	7	mathematics	mathematic	NOUN
ejpam-6099	254	8	,	,	PUNCT
ejpam-6099	254	9	18(2):596–967	18(2):596–967	NUM
ejpam-6099	254	10	,	,	PUNCT
ejpam-6099	254	11	2025	2025	NUM
ejpam-6099	254	12	.	.	PUNCT
ejpam-6099	255	1	[	[	X
ejpam-6099	255	2	13	13	NUM
ejpam-6099	255	3	]	]	SYM
ejpam-6099	255	4	m	m	VERB
ejpam-6099	255	5	al	al	PROPN
ejpam-6099	255	6	-	-	PUNCT
ejpam-6099	255	7	momani	momani	PROPN
ejpam-6099	255	8	,	,	PUNCT
ejpam-6099	255	9	a	a	DET
ejpam-6099	255	10	jaradat	jaradat	PROPN
ejpam-6099	255	11	,	,	PUNCT
ejpam-6099	255	12	b	b	NOUN
ejpam-6099	255	13	abughazaleh	abughazaleh	NOUN
ejpam-6099	255	14	,	,	PUNCT
ejpam-6099	255	15	and	and	CCONJ
ejpam-6099	255	16	a	a	DET
ejpam-6099	255	17	farah	farah	PROPN
ejpam-6099	255	18	.	.	PUNCT
ejpam-6099	256	1	solving	solve	VERB
ejpam-6099	256	2	partial	partial	ADJ
ejpam-6099	256	3	differential	differential	ADJ
ejpam-6099	256	4	equations	equation	NOUN
ejpam-6099	256	5	via	via	ADP
ejpam-6099	256	6	the	the	DET
ejpam-6099	256	7	double	double	ADJ
ejpam-6099	256	8	sumudu	sumudu	NOUN
ejpam-6099	256	9	-	-	PUNCT
ejpam-6099	256	10	shehu	shehu	NOUN
ejpam-6099	256	11	transform	transform	NOUN
ejpam-6099	256	12	.	.	PUNCT
ejpam-6099	257	1	european	european	PROPN
ejpam-6099	257	2	journal	journal	PROPN
ejpam-6099	257	3	of	of	ADP
ejpam-6099	257	4	pure	pure	ADJ
ejpam-6099	257	5	and	and	CCONJ
ejpam-6099	257	6	applied	applied	ADJ
ejpam-6099	257	7	mathematics	mathematic	NOUN
ejpam-6099	257	8	,	,	PUNCT
ejpam-6099	257	9	18(2):589–898	18(2):589–898	PROPN
ejpam-6099	257	10	,	,	PUNCT
ejpam-6099	257	11	2025	2025	NUM
ejpam-6099	257	12	.	.	PUNCT
ejpam-6099	258	1	[	[	X
ejpam-6099	258	2	14	14	NUM
ejpam-6099	258	3	]	]	X
ejpam-6099	258	4	hayman	hayman	PROPN
ejpam-6099	258	5	thabet	thabet	PROPN
ejpam-6099	258	6	and	and	CCONJ
ejpam-6099	258	7	subhash	subhash	PROPN
ejpam-6099	258	8	kendre	kendre	PROPN
ejpam-6099	258	9	.	.	PUNCT
ejpam-6099	259	1	analytical	analytical	ADJ
ejpam-6099	259	2	solutions	solution	NOUN
ejpam-6099	259	3	for	for	ADP
ejpam-6099	259	4	conformable	conformable	ADJ
ejpam-6099	259	5	spacetime	spacetime	NOUN
ejpam-6099	259	6	fractional	fractional	ADJ
ejpam-6099	259	7	partial	partial	ADJ
ejpam-6099	259	8	differential	differential	NOUN
ejpam-6099	259	9	equations	equation	NOUN
ejpam-6099	259	10	via	via	ADP
ejpam-6099	259	11	fractional	fractional	ADJ
ejpam-6099	259	12	differential	differential	NOUN
ejpam-6099	259	13	transform	transform	NOUN
ejpam-6099	259	14	.	.	PUNCT
ejpam-6099	260	1	chaos	chaos	NOUN
ejpam-6099	260	2	,	,	PUNCT
ejpam-6099	260	3	solitons	soliton	NOUN
ejpam-6099	260	4	&	&	CCONJ
ejpam-6099	260	5	fractals	fractal	NOUN
ejpam-6099	260	6	,	,	PUNCT
ejpam-6099	260	7	109:238–245	109:238–245	NUM
ejpam-6099	260	8	,	,	PUNCT
ejpam-6099	260	9	2018	2018	NUM
ejpam-6099	260	10	.	.	PUNCT
ejpam-6099	261	1	[	[	X
ejpam-6099	261	2	15	15	NUM
ejpam-6099	261	3	]	]	X
ejpam-6099	261	4	hassan	hassan	PROPN
ejpam-6099	261	5	eltayeb	eltayeb	PROPN
ejpam-6099	261	6	and	and	CCONJ
ejpam-6099	261	7	said	say	VERB
ejpam-6099	261	8	mesloub	mesloub	PROPN
ejpam-6099	261	9	.	.	PUNCT
ejpam-6099	262	1	a	a	DET
ejpam-6099	262	2	note	note	NOUN
ejpam-6099	262	3	on	on	ADP
ejpam-6099	262	4	conformable	conformable	ADJ
ejpam-6099	262	5	double	double	ADJ
ejpam-6099	262	6	laplace	laplace	NOUN
ejpam-6099	262	7	transform	transform	NOUN
ejpam-6099	262	8	m.	m.	NOUN
ejpam-6099	262	9	al	al	PROPN
ejpam-6099	262	10	-	-	PUNCT
ejpam-6099	262	11	momani	momani	X
ejpam-6099	262	12	et	et	PROPN
ejpam-6099	262	13	al	al	PROPN
ejpam-6099	262	14	.	.	PUNCT
ejpam-6099	262	15	/	/	SYM
ejpam-6099	262	16	eur	eur	PROPN
ejpam-6099	262	17	.	.	PUNCT
ejpam-6099	263	1	j.	j.	PROPN
ejpam-6099	263	2	pure	pure	PROPN
ejpam-6099	263	3	appl	appl	PROPN
ejpam-6099	263	4	.	.	PROPN
ejpam-6099	263	5	math	math	PROPN
ejpam-6099	263	6	,	,	PUNCT
ejpam-6099	263	7	18	18	NUM
ejpam-6099	263	8	(	(	PUNCT
ejpam-6099	263	9	2	2	NUM
ejpam-6099	263	10	)	)	PUNCT
ejpam-6099	263	11	(	(	PUNCT
ejpam-6099	263	12	2025	2025	NUM
ejpam-6099	263	13	)	)	PUNCT
ejpam-6099	263	14	,	,	PUNCT
ejpam-6099	263	15	6099	6099	NUM
ejpam-6099	263	16	15	15	NUM
ejpam-6099	263	17	of	of	ADP
ejpam-6099	263	18	15	15	NUM
ejpam-6099	263	19	and	and	CCONJ
ejpam-6099	263	20	singular	singular	ADJ
ejpam-6099	263	21	conformable	conformable	ADJ
ejpam-6099	263	22	pseudoparabolic	pseudoparabolic	ADJ
ejpam-6099	263	23	equations	equation	NOUN
ejpam-6099	263	24	.	.	PUNCT
ejpam-6099	264	1	journal	journal	NOUN
ejpam-6099	264	2	of	of	ADP
ejpam-6099	264	3	function	function	NOUN
ejpam-6099	264	4	spaces	space	NOUN
ejpam-6099	264	5	,	,	PUNCT
ejpam-6099	264	6	2020:8106494	2020:8106494	NUM
ejpam-6099	264	7	,	,	PUNCT
ejpam-6099	264	8	2020	2020	NUM
ejpam-6099	264	9	.	.	PUNCT