id	sid	tid	token	lemma	pos
ejpam-4318	1	1	european	european	PROPN
ejpam-4318	1	2	journal	journal	PROPN
ejpam-4318	1	3	of	of	ADP
ejpam-4318	1	4	pure	pure	ADJ
ejpam-4318	1	5	and	and	CCONJ
ejpam-4318	1	6	applied	apply	VERB
ejpam-4318	1	7	mathematics	mathematic	NOUN
ejpam-4318	1	8	vol	vol	NOUN
ejpam-4318	1	9	.	.	PROPN
ejpam-4318	2	1	15	15	NUM
ejpam-4318	2	2	,	,	PUNCT
ejpam-4318	2	3	no	no	INTJ
ejpam-4318	2	4	.	.	NOUN
ejpam-4318	2	5	2	2	NUM
ejpam-4318	2	6	,	,	PUNCT
ejpam-4318	2	7	2022	2022	NUM
ejpam-4318	2	8	,	,	PUNCT
ejpam-4318	2	9	397	397	NUM
ejpam-4318	2	10	-	-	SYM
ejpam-4318	2	11	402	402	NUM
ejpam-4318	2	12	issn	issn	PROPN
ejpam-4318	2	13	1307	1307	NUM
ejpam-4318	2	14	-	-	SYM
ejpam-4318	2	15	5543	5543	NUM
ejpam-4318	2	16	–	–	PUNCT
ejpam-4318	3	1	ejpam.com	ejpam.com	X
ejpam-4318	3	2	published	publish	VERB
ejpam-4318	3	3	by	by	ADP
ejpam-4318	3	4	new	new	PROPN
ejpam-4318	3	5	york	york	PROPN
ejpam-4318	3	6	business	business	PROPN
ejpam-4318	3	7	global	global	ADJ
ejpam-4318	3	8	atomic	atomic	ADJ
ejpam-4318	3	9	solution	solution	NOUN
ejpam-4318	3	10	of	of	ADP
ejpam-4318	3	11	poisson	poisson	NOUN
ejpam-4318	3	12	type	type	NOUN
ejpam-4318	3	13	equation	equation	NOUN
ejpam-4318	3	14	rouba	rouba	PROPN
ejpam-4318	3	15	shatnawi	shatnawi	PROPN
ejpam-4318	3	16	abstract	abstract	PROPN
ejpam-4318	3	17	.	.	PUNCT
ejpam-4318	4	1	in	in	ADP
ejpam-4318	4	2	this	this	DET
ejpam-4318	4	3	paper	paper	NOUN
ejpam-4318	4	4	we	we	PRON
ejpam-4318	4	5	find	find	VERB
ejpam-4318	4	6	a	a	DET
ejpam-4318	4	7	certain	certain	ADJ
ejpam-4318	4	8	solution	solution	NOUN
ejpam-4318	4	9	of	of	ADP
ejpam-4318	4	10	poisson	poisson	NOUN
ejpam-4318	4	11	type	type	NOUN
ejpam-4318	4	12	fractional	fractional	ADJ
ejpam-4318	4	13	differential	differential	NOUN
ejpam-4318	4	14	equation	equation	NOUN
ejpam-4318	4	15	using	use	VERB
ejpam-4318	4	16	theory	theory	NOUN
ejpam-4318	4	17	of	of	ADP
ejpam-4318	4	18	tensor	tensor	NOUN
ejpam-4318	4	19	product	product	NOUN
ejpam-4318	4	20	of	of	ADP
ejpam-4318	4	21	banach	banach	NOUN
ejpam-4318	4	22	spaces	space	NOUN
ejpam-4318	4	23	.	.	PUNCT
ejpam-4318	5	1	2020	2020	NUM
ejpam-4318	5	2	mathematics	mathematic	NOUN
ejpam-4318	5	3	subject	subject	NOUN
ejpam-4318	5	4	classifications	classification	NOUN
ejpam-4318	5	5	:	:	PUNCT
ejpam-4318	5	6	46m05	46m05	NUM
ejpam-4318	5	7	,	,	PUNCT
ejpam-4318	5	8	46bxx	46bxx	NOUN
ejpam-4318	5	9	,	,	PUNCT
ejpam-4318	5	10	35j05	35j05	NUM
ejpam-4318	5	11	,	,	PUNCT
ejpam-4318	5	12	44	44	NUM
ejpam-4318	5	13	-	-	PUNCT
ejpam-4318	5	14	xx	xx	NUM
ejpam-4318	5	15	key	key	ADJ
ejpam-4318	5	16	words	word	NOUN
ejpam-4318	5	17	and	and	CCONJ
ejpam-4318	5	18	phrases	phrase	NOUN
ejpam-4318	5	19	:	:	PUNCT
ejpam-4318	5	20	tensor	tensor	NOUN
ejpam-4318	5	21	product	product	NOUN
ejpam-4318	5	22	,	,	PUNCT
ejpam-4318	5	23	banach	banach	NOUN
ejpam-4318	5	24	spaces	space	NOUN
ejpam-4318	5	25	,	,	PUNCT
ejpam-4318	5	26	fractional	fractional	ADJ
ejpam-4318	5	27	poisson	poisson	NOUN
ejpam-4318	5	28	equation	equation	NOUN
ejpam-4318	5	29	,	,	PUNCT
ejpam-4318	5	30	conformable	conformable	ADJ
ejpam-4318	5	31	derivative	derivative	ADJ
ejpam-4318	5	32	1	1	NUM
ejpam-4318	5	33	.	.	PUNCT
ejpam-4318	5	34	introduction	introduction	NOUN
ejpam-4318	5	35	in	in	ADP
ejpam-4318	5	36	[	[	X
ejpam-4318	5	37	5	5	NUM
ejpam-4318	5	38	]	]	PUNCT
ejpam-4318	5	39	,	,	PUNCT
ejpam-4318	5	40	a	a	DET
ejpam-4318	5	41	new	new	ADJ
ejpam-4318	5	42	definition	definition	NOUN
ejpam-4318	5	43	,	,	PUNCT
ejpam-4318	5	44	which	which	PRON
ejpam-4318	5	45	is	be	AUX
ejpam-4318	5	46	called	call	VERB
ejpam-4318	5	47	conformable	conformable	ADJ
ejpam-4318	5	48	fractional	fractional	ADJ
ejpam-4318	5	49	derivative	derivative	NOUN
ejpam-4318	5	50	was	be	AUX
ejpam-4318	5	51	introduced	introduce	VERB
ejpam-4318	5	52	.	.	PUNCT
ejpam-4318	6	1	for	for	ADP
ejpam-4318	6	2	a	a	DET
ejpam-4318	6	3	given	give	VERB
ejpam-4318	6	4	a	a	DET
ejpam-4318	6	5	function	function	NOUN
ejpam-4318	6	6	f	f	NOUN
ejpam-4318	6	7	:	:	PUNCT
ejpam-4318	6	8	[	[	X
ejpam-4318	6	9	0,∞	0,∞	NOUN
ejpam-4318	6	10	)	)	PUNCT
ejpam-4318	6	11	→	→	PUNCT
ejpam-4318	6	12	r.	r.	VERB
ejpam-4318	6	13	the	the	DET
ejpam-4318	6	14	conformable	conformable	ADJ
ejpam-4318	6	15	fractional	fractional	ADJ
ejpam-4318	6	16	derivative	derivative	NOUN
ejpam-4318	6	17	of	of	ADP
ejpam-4318	6	18	f	f	PROPN
ejpam-4318	6	19	of	of	ADP
ejpam-4318	6	20	order	order	NOUN
ejpam-4318	6	21	α	α	NOUN
ejpam-4318	6	22	for	for	ADP
ejpam-4318	6	23	α	α	PRON
ejpam-4318	6	24	∈	∈	PROPN
ejpam-4318	6	25	(	(	PUNCT
ejpam-4318	6	26	0	0	NUM
ejpam-4318	6	27	,	,	PUNCT
ejpam-4318	6	28	1	1	NUM
ejpam-4318	6	29	]	]	PUNCT
ejpam-4318	6	30	,	,	PUNCT
ejpam-4318	6	31	is	be	AUX
ejpam-4318	6	32	defined	define	VERB
ejpam-4318	6	33	by	by	ADP
ejpam-4318	6	34	:	:	PUNCT
ejpam-4318	6	35	dα(f)(t	dα(f)(t	ADJ
ejpam-4318	6	36	)	)	PUNCT
ejpam-4318	7	1	=	=	SYM
ejpam-4318	7	2	lim	lim	PROPN
ejpam-4318	7	3	ε→0	ε→0	VERB
ejpam-4318	7	4	f(t+	f(t+	ADJ
ejpam-4318	7	5	εt1−α)−	εt1−α)−	NOUN
ejpam-4318	7	6	f(t	f(t	NOUN
ejpam-4318	7	7	)	)	PUNCT
ejpam-4318	7	8	ε	ε	PROPN
ejpam-4318	7	9	.	.	PUNCT
ejpam-4318	8	1	if	if	SCONJ
ejpam-4318	8	2	the	the	DET
ejpam-4318	8	3	conformable	conformable	ADJ
ejpam-4318	8	4	fractional	fractional	ADJ
ejpam-4318	8	5	derivative	derivative	NOUN
ejpam-4318	8	6	of	of	ADP
ejpam-4318	8	7	f	f	PROPN
ejpam-4318	8	8	of	of	ADP
ejpam-4318	8	9	order	order	NOUN
ejpam-4318	8	10	α	α	NOUN
ejpam-4318	8	11	exists	exist	VERB
ejpam-4318	8	12	,	,	PUNCT
ejpam-4318	8	13	then	then	ADV
ejpam-4318	8	14	we	we	PRON
ejpam-4318	8	15	simply	simply	ADV
ejpam-4318	8	16	say	say	VERB
ejpam-4318	8	17	f	f	PROPN
ejpam-4318	8	18	is	be	AUX
ejpam-4318	8	19	α−differentiable	α−differentiable	NUM
ejpam-4318	8	20	.	.	PUNCT
ejpam-4318	9	1	for	for	ADP
ejpam-4318	9	2	α	α	DET
ejpam-4318	9	3	∈	∈	PROPN
ejpam-4318	9	4	(	(	PUNCT
ejpam-4318	9	5	0	0	NUM
ejpam-4318	9	6	,	,	PUNCT
ejpam-4318	9	7	1	1	NUM
ejpam-4318	9	8	]	]	PUNCT
ejpam-4318	9	9	and	and	CCONJ
ejpam-4318	9	10	for	for	ADP
ejpam-4318	9	11	f	f	PROPN
ejpam-4318	9	12	,	,	PUNCT
ejpam-4318	9	13	g	g	NOUN
ejpam-4318	9	14	which	which	PRON
ejpam-4318	9	15	α−differentiable	α−differentiable	NUM
ejpam-4318	9	16	functions	function	NOUN
ejpam-4318	9	17	at	at	ADP
ejpam-4318	9	18	a	a	DET
ejpam-4318	9	19	point	point	NOUN
ejpam-4318	9	20	t	t	NOUN
ejpam-4318	9	21	,	,	PUNCT
ejpam-4318	9	22	the	the	DET
ejpam-4318	9	23	conformable	conformable	ADJ
ejpam-4318	9	24	derivative	derivative	ADJ
ejpam-4318	9	25	satisfies	satisfie	NOUN
ejpam-4318	10	1	:	:	PUNCT
ejpam-4318	10	2	1	1	X
ejpam-4318	10	3	.	.	X
ejpam-4318	10	4	dα(af	dα(af	PROPN
ejpam-4318	10	5	+	+	CCONJ
ejpam-4318	10	6	bg	bg	PROPN
ejpam-4318	10	7	)	)	PUNCT
ejpam-4318	10	8	=	=	SYM
ejpam-4318	10	9	adα(f	adα(f	PROPN
ejpam-4318	10	10	)	)	PUNCT
ejpam-4318	11	1	+	+	CCONJ
ejpam-4318	11	2	bdα(g	bdα(g	PROPN
ejpam-4318	11	3	)	)	PUNCT
ejpam-4318	11	4	,	,	PUNCT
ejpam-4318	11	5	for	for	ADP
ejpam-4318	11	6	all	all	DET
ejpam-4318	11	7	a	a	PRON
ejpam-4318	11	8	,	,	PUNCT
ejpam-4318	11	9	b	b	PROPN
ejpam-4318	11	10	∈	∈	PROPN
ejpam-4318	11	11	r.	r.	PROPN
ejpam-4318	11	12	2	2	NUM
ejpam-4318	11	13	.	.	PUNCT
ejpam-4318	11	14	dα(λ	dα(λ	X
ejpam-4318	11	15	)	)	PUNCT
ejpam-4318	12	1	=	=	SYM
ejpam-4318	12	2	0	0	NUM
ejpam-4318	12	3	,	,	PUNCT
ejpam-4318	12	4	for	for	ADP
ejpam-4318	12	5	all	all	DET
ejpam-4318	12	6	constant	constant	ADJ
ejpam-4318	12	7	functions	function	NOUN
ejpam-4318	12	8	f(t	f(t	NOUN
ejpam-4318	12	9	)	)	PUNCT
ejpam-4318	13	1	=	=	SYM
ejpam-4318	13	2	λ	λ	X
ejpam-4318	13	3	.	.	NOUN
ejpam-4318	13	4	3	3	NUM
ejpam-4318	13	5	.	.	PUNCT
ejpam-4318	13	6	dα(fg	dα(fg	NOUN
ejpam-4318	13	7	)	)	PUNCT
ejpam-4318	13	8	=	=	PUNCT
ejpam-4318	13	9	fdα(g	fdα(g	PROPN
ejpam-4318	13	10	)	)	PUNCT
ejpam-4318	13	11	+	+	NUM
ejpam-4318	13	12	gdα(f	gdα(f	NOUN
ejpam-4318	13	13	)	)	PUNCT
ejpam-4318	13	14	.	.	PUNCT
ejpam-4318	14	1	4	4	X
ejpam-4318	14	2	.	.	X
ejpam-4318	14	3	dα(fg	dα(fg	NOUN
ejpam-4318	14	4	)	)	PUNCT
ejpam-4318	15	1	=	=	PUNCT
ejpam-4318	15	2	gdα(f)−fdα(g	gdα(f)−fdα(g	PROPN
ejpam-4318	15	3	)	)	PUNCT
ejpam-4318	16	1	g2	g2	PROPN
ejpam-4318	16	2	.	.	PUNCT
ejpam-4318	17	1	we	we	PRON
ejpam-4318	17	2	list	list	VERB
ejpam-4318	17	3	here	here	ADV
ejpam-4318	17	4	the	the	DET
ejpam-4318	17	5	fractional	fractional	ADJ
ejpam-4318	17	6	derivatives	derivative	NOUN
ejpam-4318	17	7	of	of	ADP
ejpam-4318	17	8	certain	certain	ADJ
ejpam-4318	17	9	functions	function	NOUN
ejpam-4318	17	10	:	:	PUNCT
ejpam-4318	17	11	1	1	NUM
ejpam-4318	17	12	.	.	X
ejpam-4318	17	13	dα(c	dα(c	NOUN
ejpam-4318	17	14	)	)	PUNCT
ejpam-4318	17	15	=	=	SYM
ejpam-4318	17	16	0	0	NUM
ejpam-4318	17	17	,	,	PUNCT
ejpam-4318	17	18	where	where	SCONJ
ejpam-4318	17	19	c	c	PROPN
ejpam-4318	17	20	is	be	AUX
ejpam-4318	17	21	constant	constant	ADJ
ejpam-4318	17	22	.	.	PUNCT
ejpam-4318	18	1	2	2	X
ejpam-4318	18	2	.	.	X
ejpam-4318	18	3	dα(ect	dα(ect	NOUN
ejpam-4318	18	4	)	)	PUNCT
ejpam-4318	18	5	=	=	SYM
ejpam-4318	19	1	ct1−αect	ct1−αect	NOUN
ejpam-4318	19	2	,	,	PUNCT
ejpam-4318	19	3	c	c	PROPN
ejpam-4318	19	4	∈	∈	PROPN
ejpam-4318	19	5	r	r	NOUN
ejpam-4318	19	6	3	3	NUM
ejpam-4318	19	7	.	.	X
ejpam-4318	19	8	dα(cos	dα(cos	PROPN
ejpam-4318	19	9	bt	bt	PROPN
ejpam-4318	19	10	)	)	PUNCT
ejpam-4318	19	11	=	=	PRON
ejpam-4318	19	12	−bt1−α	−bt1−α	AUX
ejpam-4318	19	13	sin	sin	NOUN
ejpam-4318	19	14	bt	bt	PROPN
ejpam-4318	19	15	,	,	PUNCT
ejpam-4318	19	16	b	b	PROPN
ejpam-4318	19	17	∈	∈	PROPN
ejpam-4318	19	18	r.	r.	PROPN
ejpam-4318	19	19	4	4	NUM
ejpam-4318	19	20	.	.	PUNCT
ejpam-4318	20	1	dα(sin	dα(sin	PROPN
ejpam-4318	20	2	bt	bt	PROPN
ejpam-4318	20	3	)	)	PUNCT
ejpam-4318	20	4	=	=	SYM
ejpam-4318	20	5	bt1−α	bt1−α	PROPN
ejpam-4318	20	6	cos	cos	PROPN
ejpam-4318	20	7	bt	bt	PROPN
ejpam-4318	20	8	,	,	PUNCT
ejpam-4318	20	9	b	b	PROPN
ejpam-4318	20	10	∈	∈	PROPN
ejpam-4318	20	11	r.	r.	PROPN
ejpam-4318	20	12	doi	doi	PROPN
ejpam-4318	20	13	:	:	PUNCT
ejpam-4318	20	14	https://doi.org/10.29020/nybg.ejpam.v15i2.4318	https://doi.org/10.29020/nybg.ejpam.v15i2.4318	PROPN
ejpam-4318	20	15	email	email	NOUN
ejpam-4318	20	16	address	address	NOUN
ejpam-4318	20	17	:	:	PUNCT
ejpam-4318	20	18	roubak35@gmail.com	roubak35@gmail.com	X
ejpam-4318	20	19	(	(	PUNCT
ejpam-4318	20	20	r.	r.	PROPN
ejpam-4318	20	21	shatnawi	shatnawi	PROPN
ejpam-4318	20	22	)	)	PUNCT
ejpam-4318	20	23	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-4318	20	24	397	397	NUM
ejpam-4318	21	1	©	©	ADP
ejpam-4318	21	2	2022	2022	NUM
ejpam-4318	21	3	ejpam	ejpam	VERB
ejpam-4318	21	4	all	all	DET
ejpam-4318	21	5	rights	right	NOUN
ejpam-4318	21	6	reserved	reserve	VERB
ejpam-4318	21	7	.	.	PUNCT
ejpam-4318	22	1	r.	r.	PROPN
ejpam-4318	22	2	shatnawi	shatnawi	PROPN
ejpam-4318	22	3	/	/	SYM
ejpam-4318	22	4	eur	eur	PROPN
ejpam-4318	22	5	.	.	PUNCT
ejpam-4318	23	1	j.	j.	PROPN
ejpam-4318	23	2	pure	pure	PROPN
ejpam-4318	23	3	appl	appl	PROPN
ejpam-4318	23	4	.	.	PROPN
ejpam-4318	23	5	math	math	PROPN
ejpam-4318	23	6	,	,	PUNCT
ejpam-4318	23	7	15	15	NUM
ejpam-4318	23	8	(	(	PUNCT
ejpam-4318	23	9	2	2	NUM
ejpam-4318	23	10	)	)	PUNCT
ejpam-4318	23	11	(	(	PUNCT
ejpam-4318	23	12	2022	2022	NUM
ejpam-4318	23	13	)	)	PUNCT
ejpam-4318	23	14	,	,	PUNCT
ejpam-4318	23	15	397	397	NUM
ejpam-4318	23	16	-	-	SYM
ejpam-4318	23	17	402	402	NUM
ejpam-4318	23	18	398	398	NUM
ejpam-4318	23	19	5	5	NUM
ejpam-4318	23	20	.	.	PUNCT
ejpam-4318	24	1	dα	dα	X
ejpam-4318	24	2	(	(	PUNCT
ejpam-4318	24	3	1α	1α	NUM
ejpam-4318	24	4	t	t	PROPN
ejpam-4318	24	5	α	α	NOUN
ejpam-4318	24	6	)	)	PUNCT
ejpam-4318	24	7	=	=	SYM
ejpam-4318	24	8	α	α	PROPN
ejpam-4318	24	9	(	(	PUNCT
ejpam-4318	24	10	1α	1α	NUM
ejpam-4318	24	11	t	t	PROPN
ejpam-4318	24	12	α−α	α−α	NUM
ejpam-4318	24	13	)	)	PUNCT
ejpam-4318	24	14	=	=	SYM
ejpam-4318	25	1	1	1	NUM
ejpam-4318	25	2	.	.	NOUN
ejpam-4318	25	3	6	6	NUM
ejpam-4318	25	4	.	.	X
ejpam-4318	25	5	dα(sin	dα(sin	NOUN
ejpam-4318	25	6	1	1	NUM
ejpam-4318	25	7	α	α	NOUN
ejpam-4318	25	8	t	t	NOUN
ejpam-4318	25	9	α	α	NOUN
ejpam-4318	25	10	)	)	PUNCT
ejpam-4318	26	1	=	=	SYM
ejpam-4318	26	2	cos	cos	ADP
ejpam-4318	26	3	1	1	NUM
ejpam-4318	26	4	α	α	NOUN
ejpam-4318	26	5	t	t	NOUN
ejpam-4318	26	6	α	α	NOUN
ejpam-4318	26	7	.	.	PROPN
ejpam-4318	27	1	7	7	X
ejpam-4318	27	2	.	.	X
ejpam-4318	28	1	dα(cos	dα(cos	ADV
ejpam-4318	28	2	1	1	NUM
ejpam-4318	28	3	α	α	NOUN
ejpam-4318	28	4	t	t	NOUN
ejpam-4318	28	5	α	α	NOUN
ejpam-4318	28	6	)	)	PUNCT
ejpam-4318	28	7	=	=	SYM
ejpam-4318	28	8	−	−	PROPN
ejpam-4318	28	9	sin	sin	NOUN
ejpam-4318	28	10	1	1	NUM
ejpam-4318	28	11	α	α	NOUN
ejpam-4318	28	12	t	t	PROPN
ejpam-4318	28	13	α	α	NOUN
ejpam-4318	28	14	.	.	PROPN
ejpam-4318	28	15	8	8	NUM
ejpam-4318	28	16	.	.	NUM
ejpam-4318	28	17	dα(e	dα(e	PROPN
ejpam-4318	28	18	1	1	NUM
ejpam-4318	28	19	α	α	NOUN
ejpam-4318	28	20	tα	tα	PROPN
ejpam-4318	28	21	)	)	PUNCT
ejpam-4318	28	22	=	=	PUNCT
ejpam-4318	29	1	e	e	X
ejpam-4318	29	2	1	1	NUM
ejpam-4318	29	3	α	α	NOUN
ejpam-4318	29	4	tα	tα	PROPN
ejpam-4318	29	5	.	.	PUNCT
ejpam-4318	30	1	2	2	X
ejpam-4318	30	2	.	.	X
ejpam-4318	30	3	atomic	atomic	ADJ
ejpam-4318	30	4	solution	solution	NOUN
ejpam-4318	30	5	let	let	VERB
ejpam-4318	30	6	x	x	PRON
ejpam-4318	30	7	and	and	CCONJ
ejpam-4318	30	8	y	y	PROPN
ejpam-4318	30	9	be	be	VERB
ejpam-4318	30	10	banach	banach	NOUN
ejpam-4318	30	11	spaces	space	NOUN
ejpam-4318	30	12	and	and	CCONJ
ejpam-4318	30	13	x∗	x∗	PROPN
ejpam-4318	30	14	denotes	denote	VERB
ejpam-4318	30	15	the	the	DET
ejpam-4318	30	16	dual	dual	ADJ
ejpam-4318	30	17	of	of	ADP
ejpam-4318	30	18	x.	x.	NOUN
ejpam-4318	30	19	for	for	ADP
ejpam-4318	30	20	x	x	SYM
ejpam-4318	30	21	∈	∈	PROPN
ejpam-4318	30	22	x	x	X
ejpam-4318	30	23	and	and	CCONJ
ejpam-4318	30	24	y	y	PROPN
ejpam-4318	30	25	∈	∈	PROPN
ejpam-4318	30	26	y	y	PROPN
ejpam-4318	30	27	define	define	VERB
ejpam-4318	30	28	t(x	t(x	PROPN
ejpam-4318	30	29	,	,	PUNCT
ejpam-4318	30	30	y	y	PROPN
ejpam-4318	30	31	)	)	PUNCT
ejpam-4318	30	32	:	:	PUNCT
ejpam-4318	30	33	x	x	X
ejpam-4318	30	34	∗	∗	NOUN
ejpam-4318	30	35	→	→	SYM
ejpam-4318	30	36	y	y	PROPN
ejpam-4318	30	37	as	as	ADP
ejpam-4318	30	38	:	:	PUNCT
ejpam-4318	30	39	t(x	t(x	PROPN
ejpam-4318	30	40	,	,	PUNCT
ejpam-4318	30	41	y)(x	y)(x	NOUN
ejpam-4318	30	42	∗	∗	NOUN
ejpam-4318	30	43	)	)	PUNCT
ejpam-4318	30	44	=	=	SYM
ejpam-4318	30	45	⟨x∗	⟨x∗	PROPN
ejpam-4318	30	46	,	,	PUNCT
ejpam-4318	30	47	x⟩	x⟩	PUNCT
ejpam-4318	31	1	y.	y.	PROPN
ejpam-4318	31	2	we	we	PRON
ejpam-4318	31	3	denote	denote	VERB
ejpam-4318	31	4	t(x	t(x	PROPN
ejpam-4318	31	5	,	,	PUNCT
ejpam-4318	31	6	y	y	PROPN
ejpam-4318	31	7	)	)	PUNCT
ejpam-4318	31	8	by	by	ADP
ejpam-4318	31	9	x⊗	x⊗	PROPN
ejpam-4318	31	10	y	y	PROPN
ejpam-4318	31	11	and	and	CCONJ
ejpam-4318	31	12	we	we	PRON
ejpam-4318	31	13	call	call	VERB
ejpam-4318	31	14	x⊗	x⊗	PRON
ejpam-4318	31	15	y	y	PROPN
ejpam-4318	31	16	an	an	DET
ejpam-4318	31	17	atom	atom	NOUN
ejpam-4318	32	1	[	[	X
ejpam-4318	32	2	6	6	NUM
ejpam-4318	32	3	]	]	PUNCT
ejpam-4318	32	4	.	.	PUNCT
ejpam-4318	33	1	atoms	atom	NOUN
ejpam-4318	33	2	are	be	AUX
ejpam-4318	33	3	used	use	VERB
ejpam-4318	33	4	in	in	ADP
ejpam-4318	33	5	theory	theory	NOUN
ejpam-4318	33	6	of	of	ADP
ejpam-4318	33	7	best	good	ADJ
ejpam-4318	33	8	approximation	approximation	NOUN
ejpam-4318	33	9	in	in	ADP
ejpam-4318	33	10	banach	banach	NOUN
ejpam-4318	33	11	spaces	space	NOUN
ejpam-4318	33	12	,	,	PUNCT
ejpam-4318	33	13	see	see	VERB
ejpam-4318	33	14	[	[	X
ejpam-4318	33	15	3	3	NUM
ejpam-4318	33	16	]	]	PUNCT
ejpam-4318	33	17	.	.	PUNCT
ejpam-4318	34	1	one	one	NUM
ejpam-4318	34	2	of	of	ADP
ejpam-4318	34	3	the	the	DET
ejpam-4318	34	4	known	know	VERB
ejpam-4318	34	5	results	result	NOUN
ejpam-4318	34	6	,	,	PUNCT
ejpam-4318	34	7	see	see	VERB
ejpam-4318	34	8	[	[	X
ejpam-4318	34	9	4	4	NUM
ejpam-4318	34	10	]	]	PUNCT
ejpam-4318	34	11	,	,	PUNCT
ejpam-4318	34	12	that	that	SCONJ
ejpam-4318	34	13	we	we	PRON
ejpam-4318	34	14	need	need	VERB
ejpam-4318	34	15	in	in	ADP
ejpam-4318	34	16	our	our	PRON
ejpam-4318	34	17	paper	paper	NOUN
ejpam-4318	34	18	is	be	AUX
ejpam-4318	34	19	that	that	SCONJ
ejpam-4318	34	20	:	:	PUNCT
ejpam-4318	34	21	if	if	SCONJ
ejpam-4318	34	22	the	the	DET
ejpam-4318	34	23	sum	sum	NOUN
ejpam-4318	34	24	of	of	ADP
ejpam-4318	34	25	two	two	NUM
ejpam-4318	34	26	atoms	atom	NOUN
ejpam-4318	34	27	is	be	AUX
ejpam-4318	34	28	an	an	DET
ejpam-4318	34	29	atom	atom	NOUN
ejpam-4318	34	30	,	,	PUNCT
ejpam-4318	34	31	then	then	ADV
ejpam-4318	34	32	either	either	CCONJ
ejpam-4318	34	33	the	the	DET
ejpam-4318	34	34	first	first	ADJ
ejpam-4318	34	35	components	component	NOUN
ejpam-4318	34	36	are	be	AUX
ejpam-4318	34	37	dependent	dependent	ADJ
ejpam-4318	34	38	or	or	CCONJ
ejpam-4318	34	39	the	the	DET
ejpam-4318	34	40	second	second	ADJ
ejpam-4318	34	41	ones	one	NOUN
ejpam-4318	34	42	are	be	AUX
ejpam-4318	34	43	dependent	dependent	ADJ
ejpam-4318	34	44	.	.	PUNCT
ejpam-4318	35	1	let	let	VERB
ejpam-4318	35	2	us	we	PRON
ejpam-4318	35	3	write	write	VERB
ejpam-4318	35	4	d2αf	d2αf	NOUN
ejpam-4318	35	5	to	to	PART
ejpam-4318	35	6	mean	mean	VERB
ejpam-4318	35	7	dαdαf	dαdαf	NOUN
ejpam-4318	35	8	.	.	PUNCT
ejpam-4318	36	1	further	far	ADV
ejpam-4318	36	2	we	we	PRON
ejpam-4318	36	3	write	write	VERB
ejpam-4318	36	4	f	f	PROPN
ejpam-4318	36	5	(	(	PUNCT
ejpam-4318	36	6	α	α	NOUN
ejpam-4318	36	7	)	)	PUNCT
ejpam-4318	36	8	,	,	PUNCT
ejpam-4318	36	9	f	f	PROPN
ejpam-4318	36	10	(	(	PUNCT
ejpam-4318	36	11	2α	2α	PROPN
ejpam-4318	36	12	)	)	PUNCT
ejpam-4318	36	13	to	to	PART
ejpam-4318	36	14	denote	denote	VERB
ejpam-4318	36	15	dαf	dαf	NOUN
ejpam-4318	36	16	,	,	PUNCT
ejpam-4318	36	17	d2αf	d2αf	X
ejpam-4318	36	18	respectively	respectively	ADV
ejpam-4318	36	19	.	.	PUNCT
ejpam-4318	37	1	if	if	SCONJ
ejpam-4318	37	2	u	u	NOUN
ejpam-4318	37	3	is	be	AUX
ejpam-4318	37	4	a	a	DET
ejpam-4318	37	5	function	function	NOUN
ejpam-4318	37	6	of	of	ADP
ejpam-4318	37	7	two	two	NUM
ejpam-4318	37	8	variables	variable	NOUN
ejpam-4318	37	9	,	,	PUNCT
ejpam-4318	37	10	say	say	VERB
ejpam-4318	37	11	x	x	SYM
ejpam-4318	37	12	,	,	PUNCT
ejpam-4318	37	13	y	y	PROPN
ejpam-4318	37	14	,	,	PUNCT
ejpam-4318	37	15	we	we	PRON
ejpam-4318	37	16	write	write	VERB
ejpam-4318	37	17	dα	dα	ADP
ejpam-4318	37	18	xu	xu	INTJ
ejpam-4318	37	19	for	for	ADP
ejpam-4318	37	20	the	the	DET
ejpam-4318	37	21	partial	partial	ADJ
ejpam-4318	37	22	α−derivative	α−derivative	NOUN
ejpam-4318	37	23	of	of	ADP
ejpam-4318	37	24	u	u	NOUN
ejpam-4318	37	25	with	with	ADP
ejpam-4318	37	26	respect	respect	NOUN
ejpam-4318	37	27	to	to	ADP
ejpam-4318	37	28	x	x	PRON
ejpam-4318	37	29	,	,	PUNCT
ejpam-4318	37	30	and	and	CCONJ
ejpam-4318	37	31	by	by	ADP
ejpam-4318	37	32	d2α	d2α	NOUN
ejpam-4318	37	33	x	x	SYM
ejpam-4318	37	34	u	u	NOUN
ejpam-4318	37	35	we	we	PRON
ejpam-4318	37	36	mean	mean	VERB
ejpam-4318	37	37	dα	dα	VERB
ejpam-4318	38	1	xd	xd	INTJ
ejpam-4318	38	2	α	α	PROPN
ejpam-4318	38	3	xu	xu	PROPN
ejpam-4318	38	4	.	.	PUNCT
ejpam-4318	39	1	similarly	similarly	ADV
ejpam-4318	39	2	for	for	ADP
ejpam-4318	39	3	derivatives	derivative	NOUN
ejpam-4318	39	4	with	with	ADP
ejpam-4318	39	5	respect	respect	NOUN
ejpam-4318	39	6	to	to	ADP
ejpam-4318	39	7	y.	y.	VERB
ejpam-4318	39	8	our	our	PRON
ejpam-4318	39	9	main	main	ADJ
ejpam-4318	39	10	object	object	NOUN
ejpam-4318	39	11	in	in	ADP
ejpam-4318	39	12	this	this	DET
ejpam-4318	39	13	paper	paper	NOUN
ejpam-4318	39	14	is	be	AUX
ejpam-4318	39	15	to	to	PART
ejpam-4318	39	16	find	find	VERB
ejpam-4318	39	17	an	an	DET
ejpam-4318	39	18	atomic	atomic	ADJ
ejpam-4318	39	19	solution	solution	NOUN
ejpam-4318	39	20	of	of	ADP
ejpam-4318	39	21	the	the	DET
ejpam-4318	39	22	poisson	poisson	NOUN
ejpam-4318	39	23	type	type	NOUN
ejpam-4318	39	24	fractional	fractional	ADJ
ejpam-4318	39	25	differential	differential	NOUN
ejpam-4318	39	26	equation	equation	NOUN
ejpam-4318	39	27	:	:	PUNCT
ejpam-4318	39	28	d2α	d2α	NOUN
ejpam-4318	39	29	x	x	X
ejpam-4318	39	30	u(x	u(x	PROPN
ejpam-4318	39	31	,	,	PUNCT
ejpam-4318	39	32	y	y	NOUN
ejpam-4318	39	33	)	)	PUNCT
ejpam-4318	40	1	+	+	ADP
ejpam-4318	40	2	dα	dα	ADJ
ejpam-4318	40	3	xd	xd	INTJ
ejpam-4318	40	4	β	β	NOUN
ejpam-4318	40	5	yu(x	yu(x	NUM
ejpam-4318	40	6	,	,	PUNCT
ejpam-4318	40	7	y	y	NOUN
ejpam-4318	40	8	)	)	PUNCT
ejpam-4318	40	9	=	=	SYM
ejpam-4318	40	10	f(x	f(x	PROPN
ejpam-4318	40	11	,	,	PUNCT
ejpam-4318	40	12	y	y	PROPN
ejpam-4318	40	13	)	)	PUNCT
ejpam-4318	40	14	,	,	PUNCT
ejpam-4318	40	15	0	0	NUM
ejpam-4318	40	16	<	<	X
ejpam-4318	40	17	α	α	X
ejpam-4318	40	18	,	,	PUNCT
ejpam-4318	40	19	β	β	X
ejpam-4318	40	20	<	<	X
ejpam-4318	40	21	1	1	NUM
ejpam-4318	40	22	,	,	PUNCT
ejpam-4318	40	23	(	(	PUNCT
ejpam-4318	40	24	1	1	X
ejpam-4318	40	25	)	)	PUNCT
ejpam-4318	40	26	where	where	SCONJ
ejpam-4318	40	27	f(x	f(x	PROPN
ejpam-4318	40	28	,	,	PUNCT
ejpam-4318	40	29	y	y	PROPN
ejpam-4318	40	30	)	)	PUNCT
ejpam-4318	40	31	is	be	AUX
ejpam-4318	40	32	a	a	DET
ejpam-4318	40	33	given	give	VERB
ejpam-4318	40	34	function	function	NOUN
ejpam-4318	40	35	.	.	PUNCT
ejpam-4318	41	1	3	3	X
ejpam-4318	41	2	.	.	X
ejpam-4318	41	3	procedure	procedure	NOUN
ejpam-4318	41	4	in	in	ADP
ejpam-4318	41	5	order	order	NOUN
ejpam-4318	41	6	to	to	PART
ejpam-4318	41	7	find	find	VERB
ejpam-4318	41	8	a	a	DET
ejpam-4318	41	9	certain	certain	ADJ
ejpam-4318	41	10	atomic	atomic	ADJ
ejpam-4318	41	11	solution	solution	NOUN
ejpam-4318	41	12	,	,	PUNCT
ejpam-4318	41	13	assume	assume	VERB
ejpam-4318	41	14	f(x	f(x	PROPN
ejpam-4318	41	15	,	,	PUNCT
ejpam-4318	41	16	y	y	PROPN
ejpam-4318	41	17	)	)	PUNCT
ejpam-4318	41	18	=	=	PUNCT
ejpam-4318	41	19	a(x)b(y	a(x)b(y	NUM
ejpam-4318	41	20	)	)	PUNCT
ejpam-4318	41	21	,	,	PUNCT
ejpam-4318	41	22	is	be	AUX
ejpam-4318	41	23	given	give	VERB
ejpam-4318	41	24	.	.	PUNCT
ejpam-4318	42	1	now	now	ADV
ejpam-4318	42	2	,	,	PUNCT
ejpam-4318	42	3	put	put	VERB
ejpam-4318	42	4	u(x	u(x	NOUN
ejpam-4318	42	5	,	,	PUNCT
ejpam-4318	42	6	y	y	NOUN
ejpam-4318	42	7	)	)	PUNCT
ejpam-4318	43	1	=	=	SYM
ejpam-4318	43	2	p	p	X
ejpam-4318	43	3	(	(	PUNCT
ejpam-4318	43	4	x)q(y	x)q(y	PROPN
ejpam-4318	43	5	)	)	PUNCT
ejpam-4318	43	6	(	(	PUNCT
ejpam-4318	43	7	2	2	X
ejpam-4318	43	8	)	)	PUNCT
ejpam-4318	44	1	and	and	CCONJ
ejpam-4318	44	2	assume	assume	VERB
ejpam-4318	44	3	that	that	SCONJ
ejpam-4318	44	4	p	p	X
ejpam-4318	44	5	(	(	PUNCT
ejpam-4318	44	6	0	0	NUM
ejpam-4318	44	7	)	)	PUNCT
ejpam-4318	44	8	=	=	SYM
ejpam-4318	44	9	1	1	NUM
ejpam-4318	44	10	,	,	PUNCT
ejpam-4318	44	11	p	p	X
ejpam-4318	44	12	(	(	PUNCT
ejpam-4318	44	13	α)(0	α)(0	NUM
ejpam-4318	44	14	)	)	PUNCT
ejpam-4318	44	15	=	=	SYM
ejpam-4318	44	16	1	1	NUM
ejpam-4318	44	17	,	,	PUNCT
ejpam-4318	44	18	and	and	CCONJ
ejpam-4318	44	19	q(0	q(0	PROPN
ejpam-4318	44	20	)	)	PUNCT
ejpam-4318	45	1	=	=	SYM
ejpam-4318	45	2	1	1	X
ejpam-4318	45	3	.	.	X
ejpam-4318	45	4	r.	r.	PROPN
ejpam-4318	45	5	shatnawi	shatnawi	PROPN
ejpam-4318	45	6	/	/	SYM
ejpam-4318	45	7	eur	eur	PROPN
ejpam-4318	45	8	.	.	PUNCT
ejpam-4318	46	1	j.	j.	PROPN
ejpam-4318	46	2	pure	pure	PROPN
ejpam-4318	46	3	appl	appl	PROPN
ejpam-4318	46	4	.	.	PROPN
ejpam-4318	46	5	math	math	PROPN
ejpam-4318	46	6	,	,	PUNCT
ejpam-4318	46	7	15	15	NUM
ejpam-4318	46	8	(	(	PUNCT
ejpam-4318	46	9	2	2	NUM
ejpam-4318	46	10	)	)	PUNCT
ejpam-4318	46	11	(	(	PUNCT
ejpam-4318	46	12	2022	2022	NUM
ejpam-4318	46	13	)	)	PUNCT
ejpam-4318	46	14	,	,	PUNCT
ejpam-4318	46	15	397	397	NUM
ejpam-4318	46	16	-	-	SYM
ejpam-4318	46	17	402	402	NUM
ejpam-4318	46	18	399	399	NUM
ejpam-4318	46	19	substitute	substitute	NOUN
ejpam-4318	46	20	u(x	u(x	NOUN
ejpam-4318	46	21	,	,	PUNCT
ejpam-4318	46	22	y	y	NOUN
ejpam-4318	46	23	)	)	PUNCT
ejpam-4318	46	24	=	=	SYM
ejpam-4318	47	1	p	p	X
ejpam-4318	47	2	(	(	PUNCT
ejpam-4318	47	3	x)q(y	x)q(y	NOUN
ejpam-4318	47	4	)	)	PUNCT
ejpam-4318	47	5	in	in	ADP
ejpam-4318	47	6	(	(	PUNCT
ejpam-4318	47	7	1	1	X
ejpam-4318	47	8	)	)	PUNCT
ejpam-4318	47	9	to	to	PART
ejpam-4318	47	10	get	get	VERB
ejpam-4318	47	11	:	:	PUNCT
ejpam-4318	47	12	p	p	X
ejpam-4318	47	13	(	(	PUNCT
ejpam-4318	47	14	2α)(x)q(y	2α)(x)q(y	ADJ
ejpam-4318	47	15	)	)	PUNCT
ejpam-4318	48	1	+	+	CCONJ
ejpam-4318	48	2	p	p	X
ejpam-4318	48	3	(	(	PUNCT
ejpam-4318	48	4	α)(x)q(β)(y	α)(x)q(β)(y	PROPN
ejpam-4318	48	5	)	)	PUNCT
ejpam-4318	48	6	=	=	PUNCT
ejpam-4318	48	7	a(x)b(y	a(x)b(y	NUM
ejpam-4318	48	8	)	)	PUNCT
ejpam-4318	48	9	(	(	PUNCT
ejpam-4318	48	10	3	3	X
ejpam-4318	48	11	)	)	PUNCT
ejpam-4318	48	12	this	this	PRON
ejpam-4318	48	13	can	can	AUX
ejpam-4318	48	14	be	be	AUX
ejpam-4318	48	15	written	write	VERB
ejpam-4318	48	16	in	in	ADP
ejpam-4318	48	17	tensor	tensor	NOUN
ejpam-4318	48	18	product	product	NOUN
ejpam-4318	48	19	form	form	NOUN
ejpam-4318	48	20	as	as	ADP
ejpam-4318	48	21	:	:	PUNCT
ejpam-4318	48	22	p	p	X
ejpam-4318	48	23	(	(	PUNCT
ejpam-4318	48	24	2α)(x)⊗q(y	2α)(x)⊗q(y	NUM
ejpam-4318	48	25	)	)	PUNCT
ejpam-4318	49	1	+	+	CCONJ
ejpam-4318	49	2	p	p	X
ejpam-4318	49	3	(	(	PUNCT
ejpam-4318	49	4	α)(x)⊗q(β)(y	α)(x)⊗q(β)(y	PROPN
ejpam-4318	49	5	)	)	PUNCT
ejpam-4318	49	6	=	=	SYM
ejpam-4318	49	7	a(x)⊗b(y	a(x)⊗b(y	ADV
ejpam-4318	49	8	)	)	PUNCT
ejpam-4318	49	9	(	(	PUNCT
ejpam-4318	49	10	4	4	X
ejpam-4318	49	11	)	)	PUNCT
ejpam-4318	49	12	now	now	ADV
ejpam-4318	49	13	,	,	PUNCT
ejpam-4318	49	14	we	we	PRON
ejpam-4318	49	15	have	have	VERB
ejpam-4318	49	16	a	a	DET
ejpam-4318	49	17	situation	situation	NOUN
ejpam-4318	49	18	where	where	SCONJ
ejpam-4318	49	19	the	the	DET
ejpam-4318	49	20	sum	sum	NOUN
ejpam-4318	49	21	of	of	ADP
ejpam-4318	49	22	two	two	NUM
ejpam-4318	49	23	atoms	atom	NOUN
ejpam-4318	49	24	is	be	AUX
ejpam-4318	49	25	an	an	DET
ejpam-4318	49	26	atom	atom	NOUN
ejpam-4318	49	27	.	.	PUNCT
ejpam-4318	50	1	hence	hence	ADV
ejpam-4318	50	2	,	,	PUNCT
ejpam-4318	50	3	we	we	PRON
ejpam-4318	50	4	have	have	VERB
ejpam-4318	50	5	two	two	NUM
ejpam-4318	50	6	cases	case	NOUN
ejpam-4318	50	7	:	:	PUNCT
ejpam-4318	50	8	case	case	NOUN
ejpam-4318	50	9	(	(	PUNCT
ejpam-4318	50	10	i	i	NOUN
ejpam-4318	50	11	)	)	PUNCT
ejpam-4318	50	12	p	p	X
ejpam-4318	50	13	(	(	PUNCT
ejpam-4318	50	14	2α)(x	2α)(x	NUM
ejpam-4318	50	15	)	)	PUNCT
ejpam-4318	50	16	=	=	SYM
ejpam-4318	50	17	p	p	X
ejpam-4318	50	18	(	(	PUNCT
ejpam-4318	50	19	α)(x	α)(x	PROPN
ejpam-4318	50	20	)	)	PUNCT
ejpam-4318	50	21	=	=	SYM
ejpam-4318	50	22	a(x	a(x	NOUN
ejpam-4318	50	23	)	)	PUNCT
ejpam-4318	50	24	.	.	PUNCT
ejpam-4318	51	1	consider	consider	VERB
ejpam-4318	51	2	p	p	NOUN
ejpam-4318	51	3	(	(	PUNCT
ejpam-4318	51	4	2α)(x	2α)(x	NUM
ejpam-4318	51	5	)	)	PUNCT
ejpam-4318	52	1	=	=	SYM
ejpam-4318	52	2	p	p	X
ejpam-4318	52	3	(	(	PUNCT
ejpam-4318	52	4	α)(x	α)(x	PROPN
ejpam-4318	52	5	)	)	PUNCT
ejpam-4318	52	6	this	this	PRON
ejpam-4318	52	7	is	be	AUX
ejpam-4318	52	8	a	a	DET
ejpam-4318	52	9	2α−	2α−	NUM
ejpam-4318	52	10	order	order	NOUN
ejpam-4318	52	11	linear	linear	NOUN
ejpam-4318	52	12	differential	differential	NOUN
ejpam-4318	52	13	equation	equation	NOUN
ejpam-4318	52	14	[	[	PUNCT
ejpam-4318	52	15	7	7	NUM
ejpam-4318	52	16	]	]	PUNCT
ejpam-4318	52	17	,	,	PUNCT
ejpam-4318	52	18	so	so	ADV
ejpam-4318	52	19	the	the	DET
ejpam-4318	52	20	corresponding	corresponding	ADJ
ejpam-4318	52	21	auxiliary	auxiliary	ADJ
ejpam-4318	52	22	equation	equation	NOUN
ejpam-4318	52	23	is	be	AUX
ejpam-4318	52	24	r2	r2	NOUN
ejpam-4318	52	25	−	−	NOUN
ejpam-4318	52	26	r	r	NOUN
ejpam-4318	52	27	=	=	NOUN
ejpam-4318	52	28	0	0	PUNCT
ejpam-4318	52	29	hence	hence	ADV
ejpam-4318	52	30	r	r	NOUN
ejpam-4318	52	31	=	=	SYM
ejpam-4318	52	32	0	0	NUM
ejpam-4318	52	33	,	,	PUNCT
ejpam-4318	52	34	1,and	1,and	NUM
ejpam-4318	52	35	p	p	X
ejpam-4318	52	36	(	(	PUNCT
ejpam-4318	52	37	x	x	NOUN
ejpam-4318	52	38	)	)	PUNCT
ejpam-4318	52	39	=	=	SYM
ejpam-4318	52	40	c1	c1	PROPN
ejpam-4318	52	41	+	+	CCONJ
ejpam-4318	52	42	c2e	c2e	PROPN
ejpam-4318	52	43	xα	xα	PROPN
ejpam-4318	52	44	/	/	SYM
ejpam-4318	52	45	α	α	NOUN
ejpam-4318	52	46	since	since	SCONJ
ejpam-4318	52	47	p	p	X
ejpam-4318	52	48	(	(	PUNCT
ejpam-4318	52	49	α)(0	α)(0	NUM
ejpam-4318	52	50	)	)	PUNCT
ejpam-4318	52	51	=	=	SYM
ejpam-4318	53	1	1,we	1,we	NUM
ejpam-4318	53	2	have	have	VERB
ejpam-4318	53	3	c2	c2	PROPN
ejpam-4318	53	4	=	=	SYM
ejpam-4318	53	5	1	1	NUM
ejpam-4318	53	6	and	and	CCONJ
ejpam-4318	53	7	since	since	SCONJ
ejpam-4318	53	8	p	p	X
ejpam-4318	53	9	(	(	PUNCT
ejpam-4318	53	10	0	0	NUM
ejpam-4318	53	11	)	)	PUNCT
ejpam-4318	53	12	=	=	SYM
ejpam-4318	53	13	1	1	NUM
ejpam-4318	53	14	,	,	PUNCT
ejpam-4318	53	15	then	then	ADV
ejpam-4318	53	16	c1	c1	PROPN
ejpam-4318	53	17	=	=	PROPN
ejpam-4318	53	18	0	0	PUNCT
ejpam-4318	54	1	so	so	ADV
ejpam-4318	54	2	p	p	X
ejpam-4318	54	3	(	(	PUNCT
ejpam-4318	54	4	α)(x	α)(x	PROPN
ejpam-4318	54	5	)	)	PUNCT
ejpam-4318	55	1	=	=	PUNCT
ejpam-4318	55	2	c2e	c2e	ADJ
ejpam-4318	55	3	xα	xα	PROPN
ejpam-4318	55	4	/	/	SYM
ejpam-4318	55	5	α	α	NOUN
ejpam-4318	55	6	hence	hence	ADV
ejpam-4318	55	7	p	p	X
ejpam-4318	55	8	(	(	PUNCT
ejpam-4318	55	9	x	x	NOUN
ejpam-4318	55	10	)	)	PUNCT
ejpam-4318	55	11	=	=	SYM
ejpam-4318	55	12	ex	ex	X
ejpam-4318	55	13	α	α	PROPN
ejpam-4318	55	14	/	/	SYM
ejpam-4318	55	15	α	α	NOUN
ejpam-4318	55	16	.	.	PUNCT
ejpam-4318	56	1	(	(	PUNCT
ejpam-4318	56	2	5	5	NUM
ejpam-4318	56	3	)	)	PUNCT
ejpam-4318	56	4	thus	thus	ADV
ejpam-4318	56	5	a(x	a(x	NOUN
ejpam-4318	56	6	)	)	PUNCT
ejpam-4318	56	7	must	must	AUX
ejpam-4318	56	8	equal	equal	VERB
ejpam-4318	56	9	to	to	ADP
ejpam-4318	56	10	ex	ex	ADJ
ejpam-4318	56	11	α	α	NOUN
ejpam-4318	56	12	/	/	SYM
ejpam-4318	56	13	α	α	NOUN
ejpam-4318	56	14	in	in	ADP
ejpam-4318	56	15	order	order	NOUN
ejpam-4318	56	16	to	to	ADP
ejpam-4318	56	17	an	an	DET
ejpam-4318	56	18	atomic	atomic	ADJ
ejpam-4318	56	19	solution	solution	NOUN
ejpam-4318	56	20	to	to	PART
ejpam-4318	56	21	be	be	AUX
ejpam-4318	56	22	exist	exist	VERB
ejpam-4318	56	23	.	.	PUNCT
ejpam-4318	57	1	substitute	substitute	NOUN
ejpam-4318	57	2	in	in	ADP
ejpam-4318	57	3	(	(	PUNCT
ejpam-4318	57	4	3	3	NUM
ejpam-4318	57	5	)	)	PUNCT
ejpam-4318	57	6	to	to	PART
ejpam-4318	57	7	get	get	VERB
ejpam-4318	57	8	ex	ex	PRON
ejpam-4318	57	9	α	α	NOUN
ejpam-4318	57	10	/	/	SYM
ejpam-4318	57	11	αq(y	αq(y	NUM
ejpam-4318	57	12	)	)	PUNCT
ejpam-4318	58	1	+	+	CCONJ
ejpam-4318	58	2	ex	ex	PRON
ejpam-4318	58	3	α	α	PROPN
ejpam-4318	58	4	/	/	SYM
ejpam-4318	58	5	α(x)q(β)(y	α(x)q(β)(y	PROPN
ejpam-4318	58	6	)	)	PUNCT
ejpam-4318	58	7	=	=	PUNCT
ejpam-4318	58	8	ex	ex	X
ejpam-4318	58	9	α	α	NOUN
ejpam-4318	58	10	/	/	SYM
ejpam-4318	58	11	αb(y	αb(y	NUM
ejpam-4318	58	12	)	)	PUNCT
ejpam-4318	58	13	.	.	PUNCT
ejpam-4318	59	1	hence	hence	ADV
ejpam-4318	59	2	q(y	q(y	PROPN
ejpam-4318	59	3	)	)	PUNCT
ejpam-4318	60	1	+	+	NOUN
ejpam-4318	60	2	q(β)(y	q(β)(y	X
ejpam-4318	60	3	)	)	PUNCT
ejpam-4318	60	4	=	=	SYM
ejpam-4318	60	5	b(y	b(y	PROPN
ejpam-4318	60	6	)	)	PUNCT
ejpam-4318	60	7	.	.	PUNCT
ejpam-4318	61	1	(	(	PUNCT
ejpam-4318	61	2	6	6	X
ejpam-4318	61	3	)	)	PUNCT
ejpam-4318	61	4	this	this	PRON
ejpam-4318	61	5	is	be	AUX
ejpam-4318	61	6	a	a	DET
ejpam-4318	61	7	linear	linear	ADJ
ejpam-4318	61	8	fractional	fractional	ADJ
ejpam-4318	61	9	differential	differential	ADJ
ejpam-4318	61	10	equation	equation	NOUN
ejpam-4318	61	11	of	of	ADP
ejpam-4318	61	12	order	order	NOUN
ejpam-4318	61	13	β	β	NOUN
ejpam-4318	61	14	.	.	PUNCT
ejpam-4318	62	1	hence	hence	ADV
ejpam-4318	62	2	,	,	PUNCT
ejpam-4318	62	3	using	use	VERB
ejpam-4318	62	4	result	result	NOUN
ejpam-4318	62	5	in	in	ADP
ejpam-4318	62	6	[	[	X
ejpam-4318	62	7	1	1	NUM
ejpam-4318	62	8	]	]	PUNCT
ejpam-4318	62	9	,	,	PUNCT
ejpam-4318	62	10	we	we	PRON
ejpam-4318	62	11	multiply	multiply	VERB
ejpam-4318	62	12	equation	equation	NOUN
ejpam-4318	62	13	(	(	PUNCT
ejpam-4318	62	14	6	6	NUM
ejpam-4318	62	15	)	)	PUNCT
ejpam-4318	62	16	by	by	ADP
ejpam-4318	62	17	the	the	DET
ejpam-4318	62	18	integrating	integrating	NOUN
ejpam-4318	62	19	factor	factor	NOUN
ejpam-4318	62	20	r.	r.	PROPN
ejpam-4318	62	21	shatnawi	shatnawi	PROPN
ejpam-4318	62	22	/	/	SYM
ejpam-4318	62	23	eur	eur	PROPN
ejpam-4318	62	24	.	.	PUNCT
ejpam-4318	63	1	j.	j.	PROPN
ejpam-4318	63	2	pure	pure	PROPN
ejpam-4318	63	3	appl	appl	PROPN
ejpam-4318	63	4	.	.	PROPN
ejpam-4318	63	5	math	math	PROPN
ejpam-4318	63	6	,	,	PUNCT
ejpam-4318	63	7	15	15	NUM
ejpam-4318	63	8	(	(	PUNCT
ejpam-4318	63	9	2	2	NUM
ejpam-4318	63	10	)	)	PUNCT
ejpam-4318	63	11	(	(	PUNCT
ejpam-4318	63	12	2022	2022	NUM
ejpam-4318	63	13	)	)	PUNCT
ejpam-4318	63	14	,	,	PUNCT
ejpam-4318	63	15	397	397	NUM
ejpam-4318	63	16	-	-	SYM
ejpam-4318	63	17	402	402	NUM
ejpam-4318	63	18	400	400	NUM
ejpam-4318	63	19	µ(y	µ(y	NUM
ejpam-4318	63	20	)	)	PUNCT
ejpam-4318	63	21	=	=	SYM
ejpam-4318	63	22	eiβ(1	eiβ(1	X
ejpam-4318	63	23	)	)	PUNCT
ejpam-4318	64	1	=	=	PUNCT
ejpam-4318	64	2	e	e	X
ejpam-4318	64	3	y∫	y∫	PROPN
ejpam-4318	64	4	a	a	DET
ejpam-4318	64	5	1	1	NUM
ejpam-4318	64	6	t1−β	t1−β	PROPN
ejpam-4318	64	7	dt	dt	NOUN
ejpam-4318	64	8	=	=	PUNCT
ejpam-4318	64	9	ey	ey	X
ejpam-4318	64	10	β	β	NOUN
ejpam-4318	64	11	/	/	SYM
ejpam-4318	64	12	β	β	NOUN
ejpam-4318	64	13	.	.	PUNCT
ejpam-4318	65	1	to	to	PART
ejpam-4318	65	2	get	get	VERB
ejpam-4318	65	3	ey	ey	PRON
ejpam-4318	65	4	β	β	NOUN
ejpam-4318	65	5	/	/	SYM
ejpam-4318	65	6	βq(y	βq(y	NUM
ejpam-4318	65	7	)	)	PUNCT
ejpam-4318	66	1	+	+	CCONJ
ejpam-4318	66	2	ey	ey	PRON
ejpam-4318	66	3	β	β	NOUN
ejpam-4318	66	4	/	/	SYM
ejpam-4318	66	5	βq(β)(y	βq(β)(y	PROPN
ejpam-4318	66	6	)	)	PUNCT
ejpam-4318	66	7	=	=	PUNCT
ejpam-4318	66	8	ey	ey	X
ejpam-4318	66	9	β	β	X
ejpam-4318	66	10	/	/	SYM
ejpam-4318	66	11	βb(y	βb(y	NUM
ejpam-4318	66	12	)	)	PUNCT
ejpam-4318	66	13	,	,	PUNCT
ejpam-4318	66	14	dβ[ey	dβ[ey	PROPN
ejpam-4318	66	15	β	β	X
ejpam-4318	66	16	/	/	SYM
ejpam-4318	66	17	βq(y	βq(y	NUM
ejpam-4318	66	18	)	)	PUNCT
ejpam-4318	66	19	]	]	PUNCT
ejpam-4318	67	1	=	=	PUNCT
ejpam-4318	67	2	ey	ey	X
ejpam-4318	67	3	β	β	X
ejpam-4318	67	4	/	/	SYM
ejpam-4318	67	5	βb(y	βb(y	NUM
ejpam-4318	67	6	)	)	PUNCT
ejpam-4318	67	7	.	.	PUNCT
ejpam-4318	68	1	hence	hence	ADV
ejpam-4318	68	2	q(y	q(y	X
ejpam-4318	68	3	)	)	PUNCT
ejpam-4318	68	4	=	=	SYM
ejpam-4318	68	5	e−yβ	e−yβ	NOUN
ejpam-4318	68	6	/	/	SYM
ejpam-4318	68	7	βiβ[e	βiβ[e	PROPN
ejpam-4318	68	8	yβ	yβ	PROPN
ejpam-4318	68	9	/	/	SYM
ejpam-4318	68	10	βb(y	βb(y	NUM
ejpam-4318	68	11	)	)	PUNCT
ejpam-4318	68	12	]	]	PUNCT
ejpam-4318	68	13	.	.	PUNCT
ejpam-4318	69	1	so	so	ADV
ejpam-4318	69	2	q(y	q(y	X
ejpam-4318	69	3	)	)	PUNCT
ejpam-4318	69	4	=	=	PUNCT
ejpam-4318	69	5	e−yβ	e−yβ	PROPN
ejpam-4318	69	6	/	/	SYM
ejpam-4318	69	7	β	β	X
ejpam-4318	69	8	y∫	y∫	NOUN
ejpam-4318	69	9	et	et	NOUN
ejpam-4318	69	10	β	β	NOUN
ejpam-4318	69	11	/	/	SYM
ejpam-4318	69	12	βb(t	βb(t	NOUN
ejpam-4318	69	13	)	)	PUNCT
ejpam-4318	69	14	t1−β	t1−β	PROPN
ejpam-4318	69	15	dt	dt	PROPN
ejpam-4318	69	16	.	.	PUNCT
ejpam-4318	70	1	(	(	PUNCT
ejpam-4318	70	2	7	7	X
ejpam-4318	70	3	)	)	PUNCT
ejpam-4318	70	4	equations	equation	NOUN
ejpam-4318	70	5	(	(	PUNCT
ejpam-4318	70	6	5	5	NUM
ejpam-4318	70	7	)	)	PUNCT
ejpam-4318	70	8	and	and	CCONJ
ejpam-4318	70	9	(	(	PUNCT
ejpam-4318	70	10	7	7	X
ejpam-4318	70	11	)	)	PUNCT
ejpam-4318	70	12	give	give	VERB
ejpam-4318	70	13	that	that	PRON
ejpam-4318	70	14	:	:	PUNCT
ejpam-4318	70	15	u(x	u(x	PROPN
ejpam-4318	70	16	,	,	PUNCT
ejpam-4318	70	17	y	y	NOUN
ejpam-4318	70	18	)	)	PUNCT
ejpam-4318	70	19	=	=	X
ejpam-4318	70	20	ex	ex	X
ejpam-4318	70	21	α	α	PROPN
ejpam-4318	70	22	/	/	SYM
ejpam-4318	70	23	α−yβ	α−yβ	NOUN
ejpam-4318	70	24	/	/	SYM
ejpam-4318	70	25	β	β	X
ejpam-4318	70	26	y∫	y∫	NOUN
ejpam-4318	70	27	0	0	PUNCT
ejpam-4318	70	28	ey	ey	PROPN
ejpam-4318	70	29	β	β	NOUN
ejpam-4318	70	30	/	/	SYM
ejpam-4318	70	31	βb(y	βb(y	NUM
ejpam-4318	70	32	)	)	PUNCT
ejpam-4318	70	33	t1−β	t1−β	PROPN
ejpam-4318	70	34	dt	dt	PROPN
ejpam-4318	70	35	.	.	PUNCT
ejpam-4318	71	1	(	(	PUNCT
ejpam-4318	71	2	8)	8)	NUM
ejpam-4318	71	3	this	this	PRON
ejpam-4318	71	4	is	be	AUX
ejpam-4318	71	5	the	the	DET
ejpam-4318	71	6	atomic	atomic	ADJ
ejpam-4318	71	7	solution	solution	NOUN
ejpam-4318	71	8	for	for	ADP
ejpam-4318	71	9	case	case	NOUN
ejpam-4318	71	10	(	(	PUNCT
ejpam-4318	71	11	i	i	NOUN
ejpam-4318	71	12	)	)	PUNCT
ejpam-4318	71	13	.	.	PUNCT
ejpam-4318	72	1	case	case	NOUN
ejpam-4318	72	2	(	(	PUNCT
ejpam-4318	72	3	ii	ii	NOUN
ejpam-4318	72	4	)	)	PUNCT
ejpam-4318	72	5	:	:	PUNCT
ejpam-4318	72	6	q(β)(y	q(β)(y	X
ejpam-4318	72	7	)	)	PUNCT
ejpam-4318	72	8	=	=	SYM
ejpam-4318	72	9	q(y	q(y	X
ejpam-4318	72	10	)	)	PUNCT
ejpam-4318	72	11	=	=	SYM
ejpam-4318	72	12	b(y	b(y	PROPN
ejpam-4318	72	13	)	)	PUNCT
ejpam-4318	72	14	.	.	PUNCT
ejpam-4318	73	1	consider	consider	VERB
ejpam-4318	73	2	q(β)(y	q(β)(y	X
ejpam-4318	73	3	)	)	PUNCT
ejpam-4318	73	4	=	=	PUNCT
ejpam-4318	73	5	q(y	q(y	NOUN
ejpam-4318	73	6	)	)	PUNCT
ejpam-4318	73	7	.	.	PUNCT
ejpam-4318	74	1	using	use	VERB
ejpam-4318	74	2	conformable	conformable	ADJ
ejpam-4318	74	3	derivative	derivative	ADJ
ejpam-4318	74	4	properties	property	NOUN
ejpam-4318	74	5	,	,	PUNCT
ejpam-4318	74	6	we	we	PRON
ejpam-4318	74	7	get	get	VERB
ejpam-4318	74	8	q(y	q(y	NOUN
ejpam-4318	74	9	)	)	PUNCT
ejpam-4318	74	10	=	=	PUNCT
ejpam-4318	74	11	aey	aey	PROPN
ejpam-4318	74	12	β	β	X
ejpam-4318	74	13	/	/	SYM
ejpam-4318	74	14	β	β	X
ejpam-4318	74	15	apply	apply	VERB
ejpam-4318	74	16	q(0	q(0	PROPN
ejpam-4318	74	17	)	)	PUNCT
ejpam-4318	74	18	=	=	SYM
ejpam-4318	74	19	1	1	NUM
ejpam-4318	74	20	to	to	PART
ejpam-4318	74	21	get	get	VERB
ejpam-4318	74	22	q(y	q(y	NOUN
ejpam-4318	74	23	)	)	PUNCT
ejpam-4318	74	24	=	=	PUNCT
ejpam-4318	74	25	ey	ey	X
ejpam-4318	74	26	β	β	NOUN
ejpam-4318	74	27	/	/	SYM
ejpam-4318	74	28	β	β	NOUN
ejpam-4318	74	29	.	.	PUNCT
ejpam-4318	75	1	(	(	PUNCT
ejpam-4318	75	2	9	9	NUM
ejpam-4318	75	3	)	)	PUNCT
ejpam-4318	75	4	consequently	consequently	ADV
ejpam-4318	75	5	,	,	PUNCT
ejpam-4318	75	6	if	if	SCONJ
ejpam-4318	75	7	we	we	PRON
ejpam-4318	75	8	want	want	VERB
ejpam-4318	75	9	to	to	PART
ejpam-4318	75	10	get	get	VERB
ejpam-4318	75	11	an	an	DET
ejpam-4318	75	12	atomic	atomic	ADJ
ejpam-4318	75	13	solution	solution	NOUN
ejpam-4318	75	14	,	,	PUNCT
ejpam-4318	75	15	b(y	b(y	PROPN
ejpam-4318	75	16	)	)	PUNCT
ejpam-4318	75	17	must	must	AUX
ejpam-4318	75	18	equal	equal	VERB
ejpam-4318	75	19	to	to	ADP
ejpam-4318	75	20	ey	ey	PRON
ejpam-4318	75	21	β	β	NOUN
ejpam-4318	75	22	/	/	SYM
ejpam-4318	75	23	β	β	NOUN
ejpam-4318	75	24	.	.	PUNCT
ejpam-4318	75	25	substitute	substitute	PROPN
ejpam-4318	75	26	in	in	ADP
ejpam-4318	75	27	(	(	PUNCT
ejpam-4318	75	28	3	3	NUM
ejpam-4318	75	29	)	)	PUNCT
ejpam-4318	75	30	to	to	PART
ejpam-4318	75	31	get	get	VERB
ejpam-4318	75	32	ey	ey	PRON
ejpam-4318	75	33	β	β	NOUN
ejpam-4318	75	34	/	/	SYM
ejpam-4318	75	35	βp	βp	PROPN
ejpam-4318	75	36	(	(	PUNCT
ejpam-4318	75	37	2α)(x	2α)(x	NUM
ejpam-4318	75	38	)	)	PUNCT
ejpam-4318	75	39	+	+	CCONJ
ejpam-4318	75	40	ey	ey	PRON
ejpam-4318	75	41	β	β	NOUN
ejpam-4318	75	42	/	/	SYM
ejpam-4318	75	43	βp	βp	PROPN
ejpam-4318	75	44	(	(	PUNCT
ejpam-4318	75	45	α)(x	α)(x	PROPN
ejpam-4318	75	46	)	)	PUNCT
ejpam-4318	75	47	=	=	PUNCT
ejpam-4318	75	48	ey	ey	X
ejpam-4318	75	49	β	β	NOUN
ejpam-4318	75	50	/	/	SYM
ejpam-4318	75	51	βa(x	βa(x	NOUN
ejpam-4318	75	52	)	)	PUNCT
ejpam-4318	75	53	.	.	PUNCT
ejpam-4318	76	1	hence	hence	ADV
ejpam-4318	76	2	p	p	X
ejpam-4318	76	3	(	(	PUNCT
ejpam-4318	76	4	2α)(x	2α)(x	NUM
ejpam-4318	76	5	)	)	PUNCT
ejpam-4318	77	1	+	+	CCONJ
ejpam-4318	77	2	p	p	X
ejpam-4318	77	3	(	(	PUNCT
ejpam-4318	77	4	α)(x	α)(x	PROPN
ejpam-4318	77	5	)	)	PUNCT
ejpam-4318	77	6	=	=	SYM
ejpam-4318	77	7	a(x	a(x	NOUN
ejpam-4318	77	8	)	)	PUNCT
ejpam-4318	77	9	.	.	PUNCT
ejpam-4318	78	1	(	(	PUNCT
ejpam-4318	78	2	10	10	NUM
ejpam-4318	78	3	)	)	PUNCT
ejpam-4318	78	4	references	reference	NOUN
ejpam-4318	78	5	401	401	NUM
ejpam-4318	78	6	the	the	DET
ejpam-4318	78	7	homogeneous	homogeneous	ADJ
ejpam-4318	78	8	equation	equation	NOUN
ejpam-4318	78	9	p	p	NOUN
ejpam-4318	78	10	(	(	PUNCT
ejpam-4318	78	11	2α)(x	2α)(x	NUM
ejpam-4318	78	12	)	)	PUNCT
ejpam-4318	79	1	+	+	CCONJ
ejpam-4318	79	2	p	p	X
ejpam-4318	79	3	(	(	PUNCT
ejpam-4318	79	4	α)(x	α)(x	PROPN
ejpam-4318	79	5	)	)	PUNCT
ejpam-4318	79	6	=	=	SYM
ejpam-4318	79	7	0	0	NUM
ejpam-4318	79	8	is	be	AUX
ejpam-4318	79	9	solved	solve	VERB
ejpam-4318	79	10	to	to	PART
ejpam-4318	79	11	give	give	VERB
ejpam-4318	79	12	ph(x	ph(x	NOUN
ejpam-4318	79	13	)	)	PUNCT
ejpam-4318	79	14	=	=	PUNCT
ejpam-4318	79	15	b1e	b1e	X
ejpam-4318	79	16	−xα	−xα	PROPN
ejpam-4318	79	17	/	/	SYM
ejpam-4318	79	18	α	α	PROPN
ejpam-4318	79	19	+	+	X
ejpam-4318	79	20	b2	b2	NOUN
ejpam-4318	79	21	according	accord	VERB
ejpam-4318	79	22	to	to	ADP
ejpam-4318	79	23	[	[	X
ejpam-4318	79	24	2	2	NUM
ejpam-4318	79	25	]	]	PUNCT
ejpam-4318	79	26	,	,	PUNCT
ejpam-4318	79	27	the	the	DET
ejpam-4318	79	28	particular	particular	ADJ
ejpam-4318	79	29	solution	solution	NOUN
ejpam-4318	79	30	of	of	ADP
ejpam-4318	79	31	(	(	PUNCT
ejpam-4318	79	32	10	10	NUM
ejpam-4318	79	33	)	)	PUNCT
ejpam-4318	79	34	is	be	AUX
ejpam-4318	79	35	:	:	PUNCT
ejpam-4318	79	36	pp(x	pp(x	NUM
ejpam-4318	79	37	)	)	PUNCT
ejpam-4318	79	38	=	=	SYM
ejpam-4318	79	39	−p1(x	−p1(x	NOUN
ejpam-4318	79	40	)	)	PUNCT
ejpam-4318	79	41	∫	∫	PROPN
ejpam-4318	79	42	a(x)p2(x	a(x)p2(x	PROPN
ejpam-4318	79	43	)	)	PUNCT
ejpam-4318	79	44	w	w	PROPN
ejpam-4318	80	1	[	[	X
ejpam-4318	80	2	p1	p1	NOUN
ejpam-4318	80	3	,	,	PUNCT
ejpam-4318	80	4	p2](x)x2−2α	p2](x)x2−2α	ADJ
ejpam-4318	80	5	dx+	dx+	NOUN
ejpam-4318	80	6	p2(x	p2(x	SYM
ejpam-4318	80	7	)	)	PUNCT
ejpam-4318	80	8	∫	∫	PROPN
ejpam-4318	80	9	a(x)p1(x	a(x)p1(x	PROPN
ejpam-4318	80	10	)	)	PUNCT
ejpam-4318	80	11	w	w	PROPN
ejpam-4318	81	1	[	[	X
ejpam-4318	81	2	p1	p1	PROPN
ejpam-4318	81	3	,	,	PUNCT
ejpam-4318	81	4	p2](x)x2−2α	p2](x)x2−2α	PROPN
ejpam-4318	81	5	dx	dx	PROPN
ejpam-4318	81	6	,	,	PUNCT
ejpam-4318	81	7	where	where	SCONJ
ejpam-4318	81	8	p1(x	p1(x	NOUN
ejpam-4318	81	9	)	)	PUNCT
ejpam-4318	81	10	=	=	SYM
ejpam-4318	81	11	e−xα	e−xα	NOUN
ejpam-4318	81	12	/	/	SYM
ejpam-4318	81	13	α	α	PROPN
ejpam-4318	81	14	,	,	PUNCT
ejpam-4318	81	15	p2(x	p2(x	X
ejpam-4318	81	16	)	)	PUNCT
ejpam-4318	81	17	=	=	SYM
ejpam-4318	81	18	1,w	1,w	NUM
ejpam-4318	82	1	[	[	X
ejpam-4318	82	2	p1	p1	NOUN
ejpam-4318	82	3	,	,	PUNCT
ejpam-4318	82	4	p2	p2	X
ejpam-4318	82	5	]	]	PUNCT
ejpam-4318	82	6	=	=	SYM
ejpam-4318	82	7	−xα−1	−xα−1	NUM
ejpam-4318	82	8	α	α	NOUN
ejpam-4318	82	9	e−xα	e−xα	NOUN
ejpam-4318	82	10	/	/	SYM
ejpam-4318	82	11	α	α	NOUN
ejpam-4318	82	12	.	.	PUNCT
ejpam-4318	83	1	simplifying	simplify	VERB
ejpam-4318	83	2	to	to	PART
ejpam-4318	83	3	get	get	VERB
ejpam-4318	83	4	pp(x	pp(x	NOUN
ejpam-4318	83	5	)	)	PUNCT
ejpam-4318	83	6	=	=	SYM
ejpam-4318	83	7	e−xα	e−xα	NOUN
ejpam-4318	83	8	/	/	SYM
ejpam-4318	83	9	α	α	PROPN
ejpam-4318	83	10	∫	∫	NOUN
ejpam-4318	83	11	a(x	a(x	PROPN
ejpam-4318	83	12	)	)	PUNCT
ejpam-4318	83	13	(	(	PUNCT
ejpam-4318	83	14	x	x	X
ejpam-4318	83	15	α−1	α−1	NOUN
ejpam-4318	83	16	α	α	NOUN
ejpam-4318	83	17	e−xα	e−xα	NOUN
ejpam-4318	83	18	/	/	SYM
ejpam-4318	83	19	α)x2−2α	α)x2−2α	PROPN
ejpam-4318	83	20	dx−	dx−	NUM
ejpam-4318	83	21	∫	∫	PROPN
ejpam-4318	83	22	a(x)e−xα	a(x)e−xα	PROPN
ejpam-4318	83	23	/	/	SYM
ejpam-4318	83	24	α	α	PROPN
ejpam-4318	83	25	(	(	PUNCT
ejpam-4318	83	26	x	x	PROPN
ejpam-4318	83	27	α−1	α−1	PROPN
ejpam-4318	83	28	α	α	NOUN
ejpam-4318	83	29	e−xα	e−xα	NOUN
ejpam-4318	83	30	/	/	SYM
ejpam-4318	83	31	α)x2−2α	α)x2−2α	PROPN
ejpam-4318	83	32	dx	dx	PROPN
ejpam-4318	83	33	,	,	PUNCT
ejpam-4318	83	34	pp(x	pp(x	NOUN
ejpam-4318	83	35	)	)	PUNCT
ejpam-4318	83	36	=	=	SYM
ejpam-4318	83	37	αe−xα	αe−xα	NUM
ejpam-4318	83	38	/	/	SYM
ejpam-4318	83	39	α	α	PROPN
ejpam-4318	83	40	∫	∫	NOUN
ejpam-4318	83	41	a(x	a(x	PROPN
ejpam-4318	83	42	)	)	PUNCT
ejpam-4318	83	43	x1−αe−xα	x1−αe−xα	PROPN
ejpam-4318	83	44	/	/	SYM
ejpam-4318	83	45	α	α	PROPN
ejpam-4318	83	46	dx−	dx−	NUM
ejpam-4318	83	47	α	α	PRON
ejpam-4318	83	48	∫	∫	PROPN
ejpam-4318	83	49	a(x	a(x	PROPN
ejpam-4318	83	50	)	)	PUNCT
ejpam-4318	83	51	x1−α	x1−α	PROPN
ejpam-4318	83	52	dx	dx	PROPN
ejpam-4318	83	53	.	.	PUNCT
ejpam-4318	84	1	so	so	ADV
ejpam-4318	84	2	p	p	X
ejpam-4318	84	3	(	(	PUNCT
ejpam-4318	84	4	x	x	NOUN
ejpam-4318	84	5	)	)	PUNCT
ejpam-4318	84	6	=	=	SYM
ejpam-4318	84	7	αe−xα	αe−xα	NUM
ejpam-4318	84	8	/	/	SYM
ejpam-4318	84	9	α	α	PROPN
ejpam-4318	84	10	∫	∫	NOUN
ejpam-4318	84	11	a(x	a(x	PROPN
ejpam-4318	84	12	)	)	PUNCT
ejpam-4318	84	13	x1−αe−xα	x1−αe−xα	PROPN
ejpam-4318	84	14	/	/	SYM
ejpam-4318	84	15	α	α	PROPN
ejpam-4318	84	16	dx−	dx−	NUM
ejpam-4318	84	17	α	α	DET
ejpam-4318	84	18	∫	∫	PROPN
ejpam-4318	84	19	a(x	a(x	PROPN
ejpam-4318	84	20	)	)	PUNCT
ejpam-4318	84	21	x1−α	x1−α	PROPN
ejpam-4318	84	22	dx+	dx+	NOUN
ejpam-4318	84	23	b1e	b1e	X
ejpam-4318	84	24	−xα	−xα	X
ejpam-4318	84	25	/	/	SYM
ejpam-4318	84	26	α	α	PROPN
ejpam-4318	84	27	+	+	X
ejpam-4318	84	28	b2	b2	NOUN
ejpam-4318	84	29	.	.	PUNCT
ejpam-4318	85	1	(	(	PUNCT
ejpam-4318	85	2	11	11	NUM
ejpam-4318	85	3	)	)	PUNCT
ejpam-4318	85	4	hence	hence	ADV
ejpam-4318	85	5	,	,	PUNCT
ejpam-4318	85	6	by	by	ADP
ejpam-4318	85	7	(	(	PUNCT
ejpam-4318	85	8	9	9	NUM
ejpam-4318	85	9	)	)	PUNCT
ejpam-4318	85	10	and	and	CCONJ
ejpam-4318	85	11	(	(	PUNCT
ejpam-4318	85	12	11	11	NUM
ejpam-4318	85	13	)	)	PUNCT
ejpam-4318	85	14	u(x	u(x	NOUN
ejpam-4318	85	15	,	,	PUNCT
ejpam-4318	85	16	y	y	NOUN
ejpam-4318	85	17	)	)	PUNCT
ejpam-4318	85	18	=	=	PUNCT
ejpam-4318	85	19	αey	αey	VERB
ejpam-4318	85	20	β	β	X
ejpam-4318	85	21	/	/	SYM
ejpam-4318	85	22	β−xα	β−xα	ADJ
ejpam-4318	85	23	/	/	SYM
ejpam-4318	85	24	α	α	PROPN
ejpam-4318	85	25	∫	∫	NOUN
ejpam-4318	85	26	a(x	a(x	PROPN
ejpam-4318	85	27	)	)	PUNCT
ejpam-4318	85	28	x1−αe−xα	x1−αe−xα	PROPN
ejpam-4318	85	29	/	/	SYM
ejpam-4318	85	30	α	α	PROPN
ejpam-4318	85	31	dx−αey	dx−αey	PUNCT
ejpam-4318	85	32	β	β	NOUN
ejpam-4318	85	33	/	/	SYM
ejpam-4318	85	34	β	β	NOUN
ejpam-4318	85	35	∫	∫	PROPN
ejpam-4318	85	36	a(x	a(x	PROPN
ejpam-4318	85	37	)	)	PUNCT
ejpam-4318	85	38	x1−α	x1−α	PROPN
ejpam-4318	85	39	dx+	dx+	NOUN
ejpam-4318	85	40	b1e	b1e	X
ejpam-4318	85	41	yβ	yβ	NOUN
ejpam-4318	85	42	/	/	SYM
ejpam-4318	85	43	β−xα	β−xα	ADJ
ejpam-4318	85	44	/	/	SYM
ejpam-4318	85	45	α+ey	α+ey	PROPN
ejpam-4318	85	46	β	β	X
ejpam-4318	85	47	/	/	SYM
ejpam-4318	85	48	βb2	βb2	NOUN
ejpam-4318	85	49	.	.	PUNCT
ejpam-4318	86	1	(	(	PUNCT
ejpam-4318	86	2	12	12	NUM
ejpam-4318	86	3	)	)	PUNCT
ejpam-4318	86	4	this	this	PRON
ejpam-4318	86	5	is	be	AUX
ejpam-4318	86	6	the	the	DET
ejpam-4318	86	7	atomic	atomic	ADJ
ejpam-4318	86	8	solution	solution	NOUN
ejpam-4318	86	9	for	for	ADP
ejpam-4318	86	10	case	case	NOUN
ejpam-4318	86	11	(	(	PUNCT
ejpam-4318	86	12	ii	ii	NOUN
ejpam-4318	86	13	)	)	PUNCT
ejpam-4318	86	14	.	.	PUNCT
ejpam-4318	87	1	references	reference	NOUN
ejpam-4318	88	1	[	[	X
ejpam-4318	88	2	1	1	NUM
ejpam-4318	88	3	]	]	X
ejpam-4318	88	4	m	m	VERB
ejpam-4318	88	5	al	al	PROPN
ejpam-4318	88	6	-	-	PUNCT
ejpam-4318	88	7	horani	horani	PROPN
ejpam-4318	88	8	,	,	PUNCT
ejpam-4318	88	9	r	r	NOUN
ejpam-4318	88	10	khalil	khalil	PROPN
ejpam-4318	88	11	,	,	PUNCT
ejpam-4318	88	12	and	and	CCONJ
ejpam-4318	88	13	i	i	PRON
ejpam-4318	88	14	aldarawi	aldarawi	VERB
ejpam-4318	88	15	.	.	PUNCT
ejpam-4318	89	1	fractional	fractional	PROPN
ejpam-4318	89	2	cauchy	cauchy	PROPN
ejpam-4318	89	3	euler	euler	PROPN
ejpam-4318	89	4	di¤	di¤	PROPN
ejpam-4318	89	5	erential	erential	ADJ
ejpam-4318	89	6	equation	equation	NOUN
ejpam-4318	89	7	.	.	PUNCT
ejpam-4318	90	1	journal	journal	NOUN
ejpam-4318	90	2	of	of	ADP
ejpam-4318	90	3	computational	computational	ADJ
ejpam-4318	90	4	analysis	analysis	NOUN
ejpam-4318	90	5	&	&	CCONJ
ejpam-4318	90	6	applications	application	NOUN
ejpam-4318	90	7	,	,	PUNCT
ejpam-4318	90	8	28(2	28(2	NUM
ejpam-4318	90	9	)	)	PUNCT
ejpam-4318	90	10	,	,	PUNCT
ejpam-4318	90	11	2020	2020	NUM
ejpam-4318	90	12	.	.	PUNCT
ejpam-4318	91	1	[	[	X
ejpam-4318	91	2	2	2	NUM
ejpam-4318	91	3	]	]	PUNCT
ejpam-4318	91	4	mohammed	mohammed	PROPN
ejpam-4318	91	5	al	al	PROPN
ejpam-4318	91	6	horani	horani	PROPN
ejpam-4318	91	7	,	,	PUNCT
ejpam-4318	91	8	m	m	VERB
ejpam-4318	91	9	abu	abu	PROPN
ejpam-4318	91	10	hammad	hammad	PROPN
ejpam-4318	91	11	,	,	PUNCT
ejpam-4318	91	12	and	and	CCONJ
ejpam-4318	91	13	roshdi	roshdi	ADJ
ejpam-4318	91	14	khalil	khalil	PROPN
ejpam-4318	91	15	.	.	PUNCT
ejpam-4318	92	1	variation	variation	NOUN
ejpam-4318	92	2	of	of	ADP
ejpam-4318	92	3	parameters	parameter	NOUN
ejpam-4318	92	4	for	for	ADP
ejpam-4318	92	5	local	local	ADJ
ejpam-4318	92	6	fractional	fractional	ADJ
ejpam-4318	92	7	nonhomogenous	nonhomogenous	ADJ
ejpam-4318	92	8	linear	linear	PROPN
ejpam-4318	92	9	differential	differential	NOUN
ejpam-4318	92	10	equations	equation	NOUN
ejpam-4318	92	11	.	.	PUNCT
ejpam-4318	93	1	j.	j.	PROPN
ejpam-4318	93	2	math	math	PROPN
ejpam-4318	93	3	.	.	PUNCT
ejpam-4318	94	1	computer	computer	PROPN
ejpam-4318	94	2	sci	sci	PROPN
ejpam-4318	94	3	,	,	PUNCT
ejpam-4318	94	4	16:147–153	16:147–153	PROPN
ejpam-4318	94	5	,	,	PUNCT
ejpam-4318	94	6	2016	2016	NUM
ejpam-4318	94	7	.	.	PUNCT
ejpam-4318	95	1	[	[	X
ejpam-4318	95	2	3	3	X
ejpam-4318	95	3	]	]	X
ejpam-4318	95	4	w	w	PROPN
ejpam-4318	95	5	deeb	deeb	PROPN
ejpam-4318	95	6	and	and	CCONJ
ejpam-4318	95	7	r	r	PROPN
ejpam-4318	95	8	khalil	khalil	PROPN
ejpam-4318	95	9	.	.	PUNCT
ejpam-4318	96	1	best	good	ADJ
ejpam-4318	96	2	approximation	approximation	NOUN
ejpam-4318	96	3	in	in	ADP
ejpam-4318	96	4	l	l	PROPN
ejpam-4318	96	5	(	(	PUNCT
ejpam-4318	96	6	x	x	X
ejpam-4318	96	7	,	,	PUNCT
ejpam-4318	96	8	y	y	PROPN
ejpam-4318	96	9	)	)	PUNCT
ejpam-4318	96	10	.	.	PUNCT
ejpam-4318	97	1	in	in	ADP
ejpam-4318	97	2	mathematical	mathematical	ADJ
ejpam-4318	97	3	proceedings	proceeding	NOUN
ejpam-4318	97	4	of	of	ADP
ejpam-4318	97	5	the	the	DET
ejpam-4318	97	6	cambridge	cambridge	PROPN
ejpam-4318	97	7	philosophical	philosophical	ADJ
ejpam-4318	97	8	society	society	NOUN
ejpam-4318	97	9	,	,	PUNCT
ejpam-4318	97	10	volume	volume	NOUN
ejpam-4318	97	11	104	104	NUM
ejpam-4318	97	12	,	,	PUNCT
ejpam-4318	97	13	pages	page	NOUN
ejpam-4318	97	14	527–531	527–531	NUM
ejpam-4318	97	15	.	.	PUNCT
ejpam-4318	98	1	cambridge	cambridge	PROPN
ejpam-4318	98	2	university	university	PROPN
ejpam-4318	98	3	press	press	NOUN
ejpam-4318	98	4	,	,	PUNCT
ejpam-4318	98	5	1988	1988	NUM
ejpam-4318	98	6	.	.	PUNCT
ejpam-4318	99	1	[	[	X
ejpam-4318	99	2	4	4	NUM
ejpam-4318	99	3	]	]	PUNCT
ejpam-4318	99	4	roshdi	roshdi	ADJ
ejpam-4318	99	5	khalil	khalil	PROPN
ejpam-4318	99	6	.	.	PUNCT
ejpam-4318	100	1	isometries	isometry	NOUN
ejpam-4318	100	2	of	of	ADP
ejpam-4318	100	3	lp	lp	NOUN
ejpam-4318	100	4	*	*	PROPN
ejpam-4318	100	5	lp	lp	PROPN
ejpam-4318	100	6	.	.	PUNCT
ejpam-4318	101	1	tam	tam	PROPN
ejpam-4318	101	2	.	.	PUNCT
ejpam-4318	102	1	j.	j.	PROPN
ejpam-4318	102	2	math	math	PROPN
ejpam-4318	102	3	.	.	PROPN
ejpam-4318	102	4	,	,	PUNCT
ejpam-4318	102	5	16:77–85	16:77–85	NUM
ejpam-4318	102	6	,	,	PUNCT
ejpam-4318	102	7	1985	1985	NUM
ejpam-4318	102	8	.	.	PUNCT
ejpam-4318	103	1	references	reference	NOUN
ejpam-4318	103	2	402	402	NUM
ejpam-4318	103	3	[	[	X
ejpam-4318	103	4	5	5	NUM
ejpam-4318	103	5	]	]	PUNCT
ejpam-4318	103	6	roshdi	roshdi	NOUN
ejpam-4318	103	7	khalil	khalil	PROPN
ejpam-4318	103	8	,	,	PUNCT
ejpam-4318	103	9	mohammed	mohammed	PROPN
ejpam-4318	103	10	al	al	PROPN
ejpam-4318	103	11	horani	horani	PROPN
ejpam-4318	103	12	,	,	PUNCT
ejpam-4318	103	13	abdelrahman	abdelrahman	NOUN
ejpam-4318	103	14	yousef	yousef	PROPN
ejpam-4318	103	15	,	,	PUNCT
ejpam-4318	103	16	and	and	CCONJ
ejpam-4318	103	17	mohammad	mohammad	PROPN
ejpam-4318	103	18	sababheh	sababheh	PROPN
ejpam-4318	103	19	.	.	PUNCT
ejpam-4318	104	1	a	a	DET
ejpam-4318	104	2	new	new	ADJ
ejpam-4318	104	3	definition	definition	NOUN
ejpam-4318	104	4	of	of	ADP
ejpam-4318	104	5	fractional	fractional	ADJ
ejpam-4318	104	6	derivative	derivative	NOUN
ejpam-4318	104	7	.	.	PUNCT
ejpam-4318	105	1	journal	journal	PROPN
ejpam-4318	105	2	of	of	ADP
ejpam-4318	105	3	computational	computational	ADJ
ejpam-4318	105	4	and	and	CCONJ
ejpam-4318	105	5	applied	applied	ADJ
ejpam-4318	105	6	mathematics	mathematic	NOUN
ejpam-4318	105	7	,	,	PUNCT
ejpam-4318	105	8	264:65–70	264:65–70	NUM
ejpam-4318	105	9	,	,	PUNCT
ejpam-4318	105	10	2014	2014	NUM
ejpam-4318	105	11	.	.	PUNCT
ejpam-4318	106	1	[	[	X
ejpam-4318	106	2	6	6	NUM
ejpam-4318	106	3	]	]	PUNCT
ejpam-4318	106	4	w.	w.	PROPN
ejpam-4318	106	5	a.	a.	NOUN
ejpam-4318	106	6	light	light	PROPN
ejpam-4318	106	7	and	and	CCONJ
ejpam-4318	106	8	elliott	elliott	PROPN
ejpam-4318	106	9	ward	ward	PROPN
ejpam-4318	106	10	cheney	cheney	PROPN
ejpam-4318	106	11	.	.	PUNCT
ejpam-4318	107	1	approximation	approximation	NOUN
ejpam-4318	107	2	theory	theory	NOUN
ejpam-4318	107	3	in	in	ADP
ejpam-4318	107	4	tensor	tensor	NOUN
ejpam-4318	107	5	product	product	NOUN
ejpam-4318	107	6	spaces	space	NOUN
ejpam-4318	107	7	.	.	PUNCT
ejpam-4318	108	1	1985	1985	NUM
ejpam-4318	108	2	.	.	PUNCT