id	sid	tid	token	lemma	pos
ejpam-4366	1	1	european	european	PROPN
ejpam-4366	1	2	journal	journal	PROPN
ejpam-4366	1	3	of	of	ADP
ejpam-4366	1	4	pure	pure	ADJ
ejpam-4366	1	5	and	and	CCONJ
ejpam-4366	1	6	applied	apply	VERB
ejpam-4366	1	7	mathematics	mathematic	NOUN
ejpam-4366	1	8	vol	vol	NOUN
ejpam-4366	1	9	.	.	PROPN
ejpam-4366	2	1	15	15	NUM
ejpam-4366	2	2	,	,	PUNCT
ejpam-4366	2	3	no	no	INTJ
ejpam-4366	2	4	.	.	NOUN
ejpam-4366	2	5	2	2	NUM
ejpam-4366	2	6	,	,	PUNCT
ejpam-4366	2	7	2022	2022	NUM
ejpam-4366	2	8	,	,	PUNCT
ejpam-4366	2	9	726	726	NUM
ejpam-4366	2	10	-	-	SYM
ejpam-4366	2	11	735	735	NUM
ejpam-4366	2	12	issn	issn	PROPN
ejpam-4366	2	13	1307	1307	NUM
ejpam-4366	2	14	-	-	SYM
ejpam-4366	2	15	5543	5543	NUM
ejpam-4366	2	16	–	–	PUNCT
ejpam-4366	2	17	ejpam.com	ejpam.com	X
ejpam-4366	2	18	published	publish	VERB
ejpam-4366	2	19	by	by	ADP
ejpam-4366	2	20	new	new	PROPN
ejpam-4366	2	21	york	york	PROPN
ejpam-4366	2	22	business	business	PROPN
ejpam-4366	2	23	global	global	ADJ
ejpam-4366	2	24	existence	existence	NOUN
ejpam-4366	2	25	and	and	CCONJ
ejpam-4366	2	26	uniqueness	uniqueness	NOUN
ejpam-4366	2	27	of	of	ADP
ejpam-4366	2	28	solutions	solution	NOUN
ejpam-4366	2	29	for	for	ADP
ejpam-4366	2	30	nonlinear	nonlinear	ADJ
ejpam-4366	2	31	fractional	fractional	ADJ
ejpam-4366	2	32	integro	integro	ADJ
ejpam-4366	2	33	-	-	PUNCT
ejpam-4366	2	34	differential	differential	NOUN
ejpam-4366	2	35	equations	equation	NOUN
ejpam-4366	2	36	with	with	ADP
ejpam-4366	2	37	nonlocal	nonlocal	ADJ
ejpam-4366	2	38	boundary	boundary	ADJ
ejpam-4366	2	39	conditions	condition	NOUN
ejpam-4366	2	40	m.j	m.j	PROPN
ejpam-4366	2	41	.	.	PUNCT
ejpam-4366	2	42	mardanov1,2	mardanov1,2	PROPN
ejpam-4366	2	43	y.a	y.a	PROPN
ejpam-4366	2	44	.	.	PROPN
ejpam-4366	2	45	sharifov1,2,∗	sharifov1,2,∗	PROPN
ejpam-4366	2	46	,	,	PUNCT
ejpam-4366	2	47	h.n	h.n	PROPN
ejpam-4366	2	48	.	.	PROPN
ejpam-4366	2	49	aliyev3	aliyev3	PROPN
ejpam-4366	2	50	1	1	NUM
ejpam-4366	2	51	institute	institute	NOUN
ejpam-4366	2	52	of	of	ADP
ejpam-4366	2	53	mathematics	mathematics	PROPN
ejpam-4366	2	54	and	and	CCONJ
ejpam-4366	2	55	mechanics	mechanic	NOUN
ejpam-4366	2	56	,	,	PUNCT
ejpam-4366	2	57	anas	anas	PROPN
ejpam-4366	2	58	,	,	PUNCT
ejpam-4366	2	59	baku	baku	PROPN
ejpam-4366	2	60	,	,	PUNCT
ejpam-4366	2	61	azerbaijan	azerbaijan	PROPN
ejpam-4366	2	62	2	2	NUM
ejpam-4366	2	63	baku	baku	PROPN
ejpam-4366	2	64	state	state	PROPN
ejpam-4366	2	65	university	university	PROPN
ejpam-4366	2	66	baku	baku	PROPN
ejpam-4366	2	67	,	,	PUNCT
ejpam-4366	2	68	azerbaijan	azerbaijan	PROPN
ejpam-4366	2	69	3	3	NUM
ejpam-4366	2	70	baku	baku	PROPN
ejpam-4366	2	71	engineering	engineering	PROPN
ejpam-4366	2	72	university	university	PROPN
ejpam-4366	2	73	,	,	PUNCT
ejpam-4366	2	74	khirdalan	khirdalan	PROPN
ejpam-4366	2	75	city	city	PROPN
ejpam-4366	2	76	,	,	PUNCT
ejpam-4366	2	77	azerbaijan	azerbaijan	PROPN
ejpam-4366	2	78	abstract	abstract	NOUN
ejpam-4366	2	79	.	.	PUNCT
ejpam-4366	3	1	in	in	ADP
ejpam-4366	3	2	this	this	DET
ejpam-4366	3	3	paper	paper	NOUN
ejpam-4366	3	4	,	,	PUNCT
ejpam-4366	3	5	the	the	DET
ejpam-4366	3	6	existence	existence	NOUN
ejpam-4366	3	7	and	and	CCONJ
ejpam-4366	3	8	uniqueness	uniqueness	NOUN
ejpam-4366	3	9	of	of	ADP
ejpam-4366	3	10	solutions	solution	NOUN
ejpam-4366	3	11	of	of	ADP
ejpam-4366	3	12	fractional	fractional	ADJ
ejpam-4366	3	13	integro	integro	ADJ
ejpam-4366	3	14	-	-	PUNCT
ejpam-4366	3	15	differential	differential	NOUN
ejpam-4366	3	16	equations	equation	NOUN
ejpam-4366	3	17	with	with	ADP
ejpam-4366	3	18	nonlocal	nonlocal	ADJ
ejpam-4366	3	19	boundary	boundary	ADJ
ejpam-4366	3	20	conditions	condition	NOUN
ejpam-4366	3	21	is	be	AUX
ejpam-4366	3	22	investigated	investigate	VERB
ejpam-4366	3	23	.	.	PUNCT
ejpam-4366	4	1	we	we	PRON
ejpam-4366	4	2	establish	establish	VERB
ejpam-4366	4	3	the	the	DET
ejpam-4366	4	4	existence	existence	NOUN
ejpam-4366	4	5	of	of	ADP
ejpam-4366	4	6	solution	solution	NOUN
ejpam-4366	4	7	via	via	ADP
ejpam-4366	4	8	krasnoselskii	krasnoselskii	PROPN
ejpam-4366	4	9	fixed	fix	VERB
ejpam-4366	4	10	point	point	NOUN
ejpam-4366	4	11	theorem	theorem	VERB
ejpam-4366	4	12	;	;	PUNCT
ejpam-4366	4	13	however	however	ADV
ejpam-4366	4	14	,	,	PUNCT
ejpam-4366	4	15	the	the	DET
ejpam-4366	4	16	uniqueness	uniqueness	NOUN
ejpam-4366	4	17	results	result	NOUN
ejpam-4366	4	18	are	be	AUX
ejpam-4366	4	19	obtained	obtain	VERB
ejpam-4366	4	20	by	by	ADP
ejpam-4366	4	21	applying	apply	VERB
ejpam-4366	4	22	the	the	DET
ejpam-4366	4	23	contraction	contraction	NOUN
ejpam-4366	4	24	mapping	mapping	NOUN
ejpam-4366	4	25	principle	principle	NOUN
ejpam-4366	4	26	.	.	PUNCT
ejpam-4366	5	1	2020	2020	NUM
ejpam-4366	5	2	mathematics	mathematic	NOUN
ejpam-4366	5	3	subject	subject	NOUN
ejpam-4366	5	4	classifications	classification	NOUN
ejpam-4366	5	5	:	:	PUNCT
ejpam-4366	5	6	ams	am	NOUN
ejpam-4366	5	7	34b37	34b37	NUM
ejpam-4366	5	8	,	,	PUNCT
ejpam-4366	5	9	34b15	34b15	NUM
ejpam-4366	5	10	key	key	ADJ
ejpam-4366	5	11	words	word	NOUN
ejpam-4366	5	12	and	and	CCONJ
ejpam-4366	5	13	phrases	phrase	NOUN
ejpam-4366	5	14	:	:	PUNCT
ejpam-4366	5	15	nonlocal	nonlocal	ADJ
ejpam-4366	5	16	boundary	boundary	ADJ
ejpam-4366	5	17	conditions	condition	NOUN
ejpam-4366	5	18	,	,	PUNCT
ejpam-4366	5	19	caputo	caputo	PROPN
ejpam-4366	5	20	fractional	fractional	PROPN
ejpam-4366	5	21	derivative	derivative	ADJ
ejpam-4366	5	22	,	,	PUNCT
ejpam-4366	5	23	existence	existence	NOUN
ejpam-4366	5	24	,	,	PUNCT
ejpam-4366	5	25	uniqueness	uniqueness	NOUN
ejpam-4366	5	26	,	,	PUNCT
ejpam-4366	5	27	fixed	fix	VERB
ejpam-4366	5	28	point	point	NOUN
ejpam-4366	5	29	1	1	NUM
ejpam-4366	5	30	.	.	PUNCT
ejpam-4366	5	31	introduction	introduction	NOUN
ejpam-4366	5	32	fractional	fractional	ADJ
ejpam-4366	5	33	differential	differential	NOUN
ejpam-4366	5	34	equations	equation	NOUN
ejpam-4366	5	35	have	have	AUX
ejpam-4366	5	36	been	be	AUX
ejpam-4366	5	37	an	an	DET
ejpam-4366	5	38	important	important	ADJ
ejpam-4366	5	39	tool	tool	NOUN
ejpam-4366	5	40	to	to	PART
ejpam-4366	5	41	describe	describe	VERB
ejpam-4366	5	42	many	many	ADJ
ejpam-4366	5	43	problems	problem	NOUN
ejpam-4366	5	44	and	and	CCONJ
ejpam-4366	5	45	processes	process	NOUN
ejpam-4366	5	46	in	in	ADP
ejpam-4366	5	47	different	different	ADJ
ejpam-4366	5	48	fields	field	NOUN
ejpam-4366	5	49	of	of	ADP
ejpam-4366	5	50	science	science	NOUN
ejpam-4366	5	51	.	.	PUNCT
ejpam-4366	6	1	in	in	ADP
ejpam-4366	6	2	fact	fact	NOUN
ejpam-4366	6	3	,	,	PUNCT
ejpam-4366	6	4	fractional	fractional	ADJ
ejpam-4366	6	5	models	model	NOUN
ejpam-4366	6	6	are	be	AUX
ejpam-4366	6	7	more	more	ADV
ejpam-4366	6	8	realistic	realistic	ADJ
ejpam-4366	6	9	than	than	ADP
ejpam-4366	6	10	the	the	DET
ejpam-4366	6	11	classical	classical	ADJ
ejpam-4366	6	12	models	model	NOUN
ejpam-4366	6	13	.	.	PUNCT
ejpam-4366	7	1	fractional	fractional	ADJ
ejpam-4366	7	2	differential	differential	ADJ
ejpam-4366	7	3	equations	equation	NOUN
ejpam-4366	7	4	appear	appear	VERB
ejpam-4366	7	5	in	in	ADP
ejpam-4366	7	6	many	many	ADJ
ejpam-4366	7	7	fields	field	NOUN
ejpam-4366	7	8	such	such	ADJ
ejpam-4366	7	9	as	as	ADP
ejpam-4366	7	10	physics	physics	NOUN
ejpam-4366	7	11	,	,	PUNCT
ejpam-4366	7	12	economics	economic	NOUN
ejpam-4366	7	13	,	,	PUNCT
ejpam-4366	7	14	image	image	NOUN
ejpam-4366	7	15	processing	processing	NOUN
ejpam-4366	7	16	,	,	PUNCT
ejpam-4366	7	17	blood	blood	NOUN
ejpam-4366	7	18	flow	flow	NOUN
ejpam-4366	7	19	phenomena	phenomenon	NOUN
ejpam-4366	7	20	,	,	PUNCT
ejpam-4366	7	21	aerodynamics	aerodynamic	NOUN
ejpam-4366	7	22	,	,	PUNCT
ejpam-4366	7	23	and	and	CCONJ
ejpam-4366	7	24	so	so	ADV
ejpam-4366	7	25	on	on	ADV
ejpam-4366	7	26	.	.	PUNCT
ejpam-4366	8	1	for	for	ADP
ejpam-4366	8	2	more	more	ADJ
ejpam-4366	8	3	details	detail	NOUN
ejpam-4366	8	4	about	about	ADP
ejpam-4366	8	5	fractional	fractional	ADJ
ejpam-4366	8	6	differential	differential	ADJ
ejpam-4366	8	7	equations	equation	NOUN
ejpam-4366	8	8	and	and	CCONJ
ejpam-4366	8	9	their	their	PRON
ejpam-4366	8	10	applications	application	NOUN
ejpam-4366	8	11	,	,	PUNCT
ejpam-4366	8	12	we	we	PRON
ejpam-4366	8	13	provide	provide	VERB
ejpam-4366	8	14	the	the	DET
ejpam-4366	8	15	following	following	ADJ
ejpam-4366	8	16	references	reference	NOUN
ejpam-4366	8	17	[	[	X
ejpam-4366	8	18	10–12	10–12	NUM
ejpam-4366	8	19	,	,	PUNCT
ejpam-4366	8	20	14–17	14–17	NUM
ejpam-4366	8	21	,	,	PUNCT
ejpam-4366	8	22	19–21	19–21	NUM
ejpam-4366	8	23	,	,	PUNCT
ejpam-4366	8	24	25	25	NUM
ejpam-4366	8	25	,	,	PUNCT
ejpam-4366	8	26	27	27	NUM
ejpam-4366	8	27	,	,	PUNCT
ejpam-4366	8	28	33	33	NUM
ejpam-4366	8	29	]	]	PUNCT
ejpam-4366	8	30	.	.	PUNCT
ejpam-4366	9	1	recently	recently	ADV
ejpam-4366	9	2	,	,	PUNCT
ejpam-4366	9	3	fractional	fractional	ADJ
ejpam-4366	9	4	integrodifferential	integrodifferential	ADJ
ejpam-4366	9	5	equations	equation	NOUN
ejpam-4366	9	6	were	be	AUX
ejpam-4366	9	7	investigated	investigate	VERB
ejpam-4366	9	8	by	by	ADP
ejpam-4366	9	9	many	many	ADJ
ejpam-4366	9	10	researchers	researcher	NOUN
ejpam-4366	9	11	in	in	ADP
ejpam-4366	9	12	different	different	ADJ
ejpam-4366	9	13	problems	problem	NOUN
ejpam-4366	9	14	,	,	PUNCT
ejpam-4366	9	15	and	and	CCONJ
ejpam-4366	9	16	a	a	DET
ejpam-4366	9	17	lot	lot	NOUN
ejpam-4366	9	18	of	of	ADP
ejpam-4366	9	19	papers	paper	NOUN
ejpam-4366	9	20	were	be	AUX
ejpam-4366	9	21	published	publish	VERB
ejpam-4366	9	22	in	in	ADP
ejpam-4366	9	23	this	this	DET
ejpam-4366	9	24	matter	matter	NOUN
ejpam-4366	9	25	(	(	PUNCT
ejpam-4366	9	26	see	see	VERB
ejpam-4366	9	27	,	,	PUNCT
ejpam-4366	9	28	for	for	ADP
ejpam-4366	9	29	example	example	NOUN
ejpam-4366	9	30	,	,	PUNCT
ejpam-4366	10	1	[	[	X
ejpam-4366	10	2	1	1	NUM
ejpam-4366	10	3	,	,	PUNCT
ejpam-4366	10	4	6	6	NUM
ejpam-4366	10	5	,	,	PUNCT
ejpam-4366	10	6	7	7	NUM
ejpam-4366	10	7	]	]	NUM
ejpam-4366	10	8	)	)	PUNCT
ejpam-4366	10	9	.	.	PUNCT
ejpam-4366	11	1	furthermore	furthermore	ADV
ejpam-4366	11	2	,	,	PUNCT
ejpam-4366	11	3	many	many	ADJ
ejpam-4366	11	4	boundary	boundary	ADJ
ejpam-4366	11	5	conditions	condition	NOUN
ejpam-4366	11	6	were	be	AUX
ejpam-4366	11	7	considered	consider	VERB
ejpam-4366	11	8	for	for	ADP
ejpam-4366	11	9	the	the	DET
ejpam-4366	11	10	fractional	fractional	ADJ
ejpam-4366	11	11	-	-	PUNCT
ejpam-4366	11	12	order	order	NOUN
ejpam-4366	11	13	integro	integro	ADJ
ejpam-4366	11	14	-	-	PUNCT
ejpam-4366	11	15	differential	differential	NOUN
ejpam-4366	11	16	equations	equation	NOUN
ejpam-4366	11	17	;	;	PUNCT
ejpam-4366	11	18	some	some	PRON
ejpam-4366	11	19	of	of	ADP
ejpam-4366	11	20	these	these	DET
ejpam-4366	11	21	conditions	condition	NOUN
ejpam-4366	11	22	are	be	AUX
ejpam-4366	11	23	the	the	DET
ejpam-4366	11	24	classical	classical	ADJ
ejpam-4366	11	25	,	,	PUNCT
ejpam-4366	11	26	periodic	periodic	ADJ
ejpam-4366	11	27	,	,	PUNCT
ejpam-4366	11	28	antiperiodic	antiperiodic	ADJ
ejpam-4366	11	29	,	,	PUNCT
ejpam-4366	11	30	nonlocal	nonlocal	ADJ
ejpam-4366	11	31	,	,	PUNCT
ejpam-4366	11	32	multipoint	multipoint	NOUN
ejpam-4366	11	33	,	,	PUNCT
ejpam-4366	11	34	and	and	CCONJ
ejpam-4366	11	35	the	the	DET
ejpam-4366	11	36	integral	integral	ADJ
ejpam-4366	11	37	boundary	boundary	ADJ
ejpam-4366	11	38	conditions	condition	NOUN
ejpam-4366	11	39	.	.	PUNCT
ejpam-4366	12	1	boundary	boundary	ADJ
ejpam-4366	12	2	value	value	NOUN
ejpam-4366	12	3	problems	problem	NOUN
ejpam-4366	12	4	with	with	ADP
ejpam-4366	12	5	integral	integral	ADJ
ejpam-4366	12	6	boundary	boundary	ADJ
ejpam-4366	12	7	conditions	condition	NOUN
ejpam-4366	12	8	constitute	constitute	VERB
ejpam-4366	12	9	a	a	DET
ejpam-4366	12	10	very	very	ADV
ejpam-4366	12	11	interesting	interesting	ADJ
ejpam-4366	12	12	and	and	CCONJ
ejpam-4366	12	13	important	important	ADJ
ejpam-4366	12	14	class	class	NOUN
ejpam-4366	12	15	of	of	ADP
ejpam-4366	12	16	problems	problem	NOUN
ejpam-4366	12	17	.	.	PUNCT
ejpam-4366	13	1	they	they	PRON
ejpam-4366	13	2	include	include	VERB
ejpam-4366	13	3	two	two	NUM
ejpam-4366	13	4	,	,	PUNCT
ejpam-4366	13	5	∗corresponding	∗corresponde	VERB
ejpam-4366	13	6	author	author	NOUN
ejpam-4366	13	7	.	.	PUNCT
ejpam-4366	14	1	doi	doi	NOUN
ejpam-4366	14	2	:	:	PUNCT
ejpam-4366	14	3	https://doi.org/10.29020/nybg.ejpam.v15i2.4366	https://doi.org/10.29020/nybg.ejpam.v15i2.4366	DET
ejpam-4366	14	4	email	email	NOUN
ejpam-4366	14	5	addresses	address	NOUN
ejpam-4366	14	6	:	:	PUNCT
ejpam-4366	14	7	sharifov22@rambler.ru	sharifov22@rambler.ru	PROPN
ejpam-4366	14	8	(	(	PUNCT
ejpam-4366	14	9	y.a	y.a	PROPN
ejpam-4366	14	10	.	.	PROPN
ejpam-4366	14	11	sharifov	sharifov	PROPN
ejpam-4366	14	12	)	)	PUNCT
ejpam-4366	14	13	,	,	PUNCT
ejpam-4366	14	14	misirmardanov@yahoo.com	misirmardanov@yahoo.com	X
ejpam-4366	14	15	(	(	PUNCT
ejpam-4366	14	16	m.j	m.j	PROPN
ejpam-4366	14	17	.	.	PROPN
ejpam-4366	14	18	mardanov	mardanov	PROPN
ejpam-4366	14	19	)	)	PUNCT
ejpam-4366	14	20	,	,	PUNCT
ejpam-4366	14	21	hualiyev@beu.edu.az	hualiyev@beu.edu.az	NOUN
ejpam-4366	14	22	(	(	PUNCT
ejpam-4366	14	23	h.n	h.n	PROPN
ejpam-4366	14	24	.	.	PROPN
ejpam-4366	14	25	aliyev	aliyev	PROPN
ejpam-4366	14	26	)	)	PUNCT
ejpam-4366	14	27	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-4366	15	1	726	726	NUM
ejpam-4366	16	1	©	©	ADP
ejpam-4366	16	2	2022	2022	NUM
ejpam-4366	16	3	ejpam	ejpam	VERB
ejpam-4366	16	4	all	all	DET
ejpam-4366	16	5	rights	right	NOUN
ejpam-4366	16	6	reserved	reserve	VERB
ejpam-4366	16	7	.	.	PUNCT
ejpam-4366	17	1	m.j	m.j	PROPN
ejpam-4366	17	2	.	.	PROPN
ejpam-4366	17	3	mardanov	mardanov	PROPN
ejpam-4366	17	4	,	,	PUNCT
ejpam-4366	17	5	h.n	h.n	PROPN
ejpam-4366	17	6	.	.	PROPN
ejpam-4366	17	7	aliyev	aliyev	PROPN
ejpam-4366	17	8	,	,	PUNCT
ejpam-4366	17	9	y.a	y.a	PROPN
ejpam-4366	17	10	.	.	PROPN
ejpam-4366	17	11	sharifov	sharifov	PROPN
ejpam-4366	17	12	/	/	SYM
ejpam-4366	17	13	eur	eur	PROPN
ejpam-4366	17	14	.	.	PUNCT
ejpam-4366	18	1	j.	j.	PROPN
ejpam-4366	18	2	pure	pure	PROPN
ejpam-4366	18	3	appl	appl	PROPN
ejpam-4366	18	4	.	.	PROPN
ejpam-4366	18	5	math	math	PROPN
ejpam-4366	18	6	,	,	PUNCT
ejpam-4366	18	7	15	15	NUM
ejpam-4366	18	8	(	(	PUNCT
ejpam-4366	18	9	2	2	NUM
ejpam-4366	18	10	)	)	PUNCT
ejpam-4366	18	11	(	(	PUNCT
ejpam-4366	18	12	2022	2022	NUM
ejpam-4366	18	13	)	)	PUNCT
ejpam-4366	18	14	,	,	PUNCT
ejpam-4366	18	15	726	726	NUM
ejpam-4366	18	16	-	-	SYM
ejpam-4366	18	17	735	735	NUM
ejpam-4366	18	18	727	727	NUM
ejpam-4366	18	19	three	three	NUM
ejpam-4366	18	20	,	,	PUNCT
ejpam-4366	18	21	multipoint	multipoint	NOUN
ejpam-4366	18	22	and	and	CCONJ
ejpam-4366	18	23	nonlocal	nonlocal	ADJ
ejpam-4366	18	24	boundary	boundary	ADJ
ejpam-4366	18	25	value	value	NOUN
ejpam-4366	18	26	problems	problem	NOUN
ejpam-4366	18	27	as	as	ADP
ejpam-4366	18	28	special	special	ADJ
ejpam-4366	18	29	cases	case	NOUN
ejpam-4366	18	30	.	.	PUNCT
ejpam-4366	19	1	integral	integral	ADJ
ejpam-4366	19	2	boundary	boundary	ADJ
ejpam-4366	19	3	value	value	NOUN
ejpam-4366	19	4	problems	problem	NOUN
ejpam-4366	19	5	occur	occur	VERB
ejpam-4366	19	6	in	in	ADP
ejpam-4366	19	7	the	the	DET
ejpam-4366	19	8	mathematical	mathematical	ADJ
ejpam-4366	19	9	modeling	modeling	NOUN
ejpam-4366	19	10	of	of	ADP
ejpam-4366	19	11	variety	variety	NOUN
ejpam-4366	19	12	of	of	ADP
ejpam-4366	19	13	physics	physics	NOUN
ejpam-4366	19	14	processes	process	NOUN
ejpam-4366	19	15	and	and	CCONJ
ejpam-4366	19	16	have	have	AUX
ejpam-4366	19	17	recently	recently	ADV
ejpam-4366	19	18	received	receive	VERB
ejpam-4366	19	19	considerable	considerable	ADJ
ejpam-4366	19	20	attention	attention	NOUN
ejpam-4366	19	21	.	.	PUNCT
ejpam-4366	20	1	for	for	ADP
ejpam-4366	20	2	some	some	DET
ejpam-4366	20	3	recent	recent	ADJ
ejpam-4366	20	4	work	work	NOUN
ejpam-4366	20	5	on	on	ADP
ejpam-4366	20	6	boundary	boundary	ADJ
ejpam-4366	20	7	value	value	NOUN
ejpam-4366	20	8	problems	problem	NOUN
ejpam-4366	20	9	with	with	ADP
ejpam-4366	20	10	integral	integral	ADJ
ejpam-4366	20	11	boundary	boundary	ADJ
ejpam-4366	20	12	conditions	condition	NOUN
ejpam-4366	20	13	we	we	PRON
ejpam-4366	20	14	refer	refer	VERB
ejpam-4366	20	15	to	to	ADP
ejpam-4366	20	16	[	[	X
ejpam-4366	20	17	2	2	NUM
ejpam-4366	20	18	,	,	PUNCT
ejpam-4366	20	19	3	3	NUM
ejpam-4366	20	20	,	,	PUNCT
ejpam-4366	20	21	8	8	NUM
ejpam-4366	20	22	,	,	PUNCT
ejpam-4366	20	23	9	9	NUM
ejpam-4366	20	24	,	,	PUNCT
ejpam-4366	20	25	18	18	NUM
ejpam-4366	20	26	,	,	PUNCT
ejpam-4366	20	27	30	30	NUM
ejpam-4366	20	28	]	]	PUNCT
ejpam-4366	20	29	and	and	CCONJ
ejpam-4366	20	30	the	the	DET
ejpam-4366	20	31	references	reference	NOUN
ejpam-4366	20	32	cited	cite	VERB
ejpam-4366	20	33	therein	therein	ADV
ejpam-4366	20	34	.	.	PUNCT
ejpam-4366	21	1	on	on	ADP
ejpam-4366	21	2	the	the	DET
ejpam-4366	21	3	other	other	ADJ
ejpam-4366	21	4	hand	hand	NOUN
ejpam-4366	21	5	,	,	PUNCT
ejpam-4366	21	6	many	many	ADJ
ejpam-4366	21	7	papers	paper	NOUN
ejpam-4366	21	8	have	have	AUX
ejpam-4366	21	9	considered	consider	VERB
ejpam-4366	21	10	the	the	DET
ejpam-4366	21	11	no	no	ADV
ejpam-4366	21	12	separated	separate	VERB
ejpam-4366	21	13	boundary	boundary	ADJ
ejpam-4366	21	14	conditions	condition	NOUN
ejpam-4366	21	15	as	as	SCONJ
ejpam-4366	21	16	they	they	PRON
ejpam-4366	21	17	are	be	AUX
ejpam-4366	21	18	a	a	DET
ejpam-4366	21	19	very	very	ADV
ejpam-4366	21	20	important	important	ADJ
ejpam-4366	21	21	class	class	NOUN
ejpam-4366	21	22	of	of	ADP
ejpam-4366	21	23	boundary	boundary	ADJ
ejpam-4366	21	24	value	value	NOUN
ejpam-4366	21	25	conditions	condition	NOUN
ejpam-4366	21	26	(	(	PUNCT
ejpam-4366	21	27	we	we	PRON
ejpam-4366	21	28	refer	refer	VERB
ejpam-4366	21	29	the	the	DET
ejpam-4366	21	30	readers	reader	NOUN
ejpam-4366	21	31	to	to	ADP
ejpam-4366	21	32	[	[	X
ejpam-4366	21	33	4	4	NUM
ejpam-4366	21	34	,	,	PUNCT
ejpam-4366	21	35	5	5	NUM
ejpam-4366	21	36	,	,	PUNCT
ejpam-4366	21	37	13	13	NUM
ejpam-4366	21	38	,	,	PUNCT
ejpam-4366	21	39	22–24	22–24	NUM
ejpam-4366	21	40	,	,	PUNCT
ejpam-4366	21	41	26	26	NUM
ejpam-4366	21	42	,	,	PUNCT
ejpam-4366	21	43	28	28	NUM
ejpam-4366	21	44	,	,	PUNCT
ejpam-4366	21	45	29	29	NUM
ejpam-4366	21	46	,	,	PUNCT
ejpam-4366	21	47	31	31	NUM
ejpam-4366	21	48	,	,	PUNCT
ejpam-4366	21	49	32	32	NUM
ejpam-4366	21	50	]	]	PUNCT
ejpam-4366	21	51	)	)	PUNCT
ejpam-4366	21	52	.	.	PUNCT
ejpam-4366	22	1	motivated	motivate	VERB
ejpam-4366	22	2	by	by	ADP
ejpam-4366	22	3	the	the	DET
ejpam-4366	22	4	above	above	ADJ
ejpam-4366	22	5	discussion	discussion	NOUN
ejpam-4366	22	6	,	,	PUNCT
ejpam-4366	22	7	in	in	ADP
ejpam-4366	22	8	this	this	DET
ejpam-4366	22	9	paper	paper	NOUN
ejpam-4366	22	10	,	,	PUNCT
ejpam-4366	22	11	we	we	PRON
ejpam-4366	22	12	establish	establish	VERB
ejpam-4366	22	13	the	the	DET
ejpam-4366	22	14	existence	existence	NOUN
ejpam-4366	22	15	and	and	CCONJ
ejpam-4366	22	16	uniqueness	uniqueness	NOUN
ejpam-4366	22	17	of	of	ADP
ejpam-4366	22	18	solutions	solution	NOUN
ejpam-4366	22	19	for	for	ADP
ejpam-4366	22	20	a	a	DET
ejpam-4366	22	21	class	class	NOUN
ejpam-4366	22	22	of	of	ADP
ejpam-4366	22	23	fractional	fractional	ADJ
ejpam-4366	22	24	integrodifferential	integrodifferential	ADJ
ejpam-4366	22	25	equations	equation	NOUN
ejpam-4366	22	26	with	with	ADP
ejpam-4366	22	27	no	no	DET
ejpam-4366	22	28	separated	separate	VERB
ejpam-4366	22	29	boundary	boundary	ADJ
ejpam-4366	22	30	value	value	NOUN
ejpam-4366	22	31	conditions	condition	NOUN
ejpam-4366	22	32	as	as	SCONJ
ejpam-4366	22	33	follows	follow	VERB
ejpam-4366	22	34	:	:	PUNCT
ejpam-4366	22	35	in	in	ADP
ejpam-4366	22	36	this	this	DET
ejpam-4366	22	37	paper	paper	NOUN
ejpam-4366	22	38	,	,	PUNCT
ejpam-4366	22	39	we	we	PRON
ejpam-4366	22	40	study	study	VERB
ejpam-4366	22	41	existence	existence	NOUN
ejpam-4366	22	42	and	and	CCONJ
ejpam-4366	22	43	uniqueness	uniqueness	NOUN
ejpam-4366	22	44	of	of	ADP
ejpam-4366	22	45	nonlinear	nonlinear	ADJ
ejpam-4366	22	46	fractional	fractional	ADJ
ejpam-4366	22	47	integrodifferential	integrodifferential	ADJ
ejpam-4366	22	48	equations	equation	NOUN
ejpam-4366	22	49	of	of	ADP
ejpam-4366	22	50	the	the	DET
ejpam-4366	22	51	type	type	NOUN
ejpam-4366	22	52	cdα	cdα	NOUN
ejpam-4366	22	53	0+x	0+x	NUM
ejpam-4366	22	54	(	(	PUNCT
ejpam-4366	22	55	t	t	NOUN
ejpam-4366	22	56	)	)	PUNCT
ejpam-4366	23	1	=	=	SYM
ejpam-4366	23	2	f	f	PROPN
ejpam-4366	23	3	(	(	PUNCT
ejpam-4366	23	4	t	t	PROPN
ejpam-4366	23	5	,	,	PUNCT
ejpam-4366	23	6	x	x	X
ejpam-4366	23	7	(	(	PUNCT
ejpam-4366	23	8	t	t	PROPN
ejpam-4366	23	9	)	)	PUNCT
ejpam-4366	23	10	,	,	PUNCT
ejpam-4366	23	11	φx	φx	PROPN
ejpam-4366	23	12	(	(	PUNCT
ejpam-4366	23	13	t	t	PROPN
ejpam-4366	23	14	)	)	PUNCT
ejpam-4366	23	15	,	,	PUNCT
ejpam-4366	23	16	ψx	ψx	X
ejpam-4366	23	17	(	(	PUNCT
ejpam-4366	23	18	t	t	PROPN
ejpam-4366	23	19	)	)	PUNCT
ejpam-4366	23	20	)	)	PUNCT
ejpam-4366	23	21	,	,	PUNCT
ejpam-4366	23	22	for	for	ADP
ejpam-4366	23	23	t	t	PROPN
ejpam-4366	23	24	∈	∈	PROPN
ejpam-4366	24	1	[	[	X
ejpam-4366	24	2	0	0	NUM
ejpam-4366	24	3	,	,	PUNCT
ejpam-4366	24	4	t	t	X
ejpam-4366	24	5	]	]	PUNCT
ejpam-4366	24	6	(	(	PUNCT
ejpam-4366	24	7	1	1	X
ejpam-4366	24	8	)	)	PUNCT
ejpam-4366	24	9	subject	subject	ADJ
ejpam-4366	24	10	initial	initial	ADJ
ejpam-4366	24	11	-	-	PUNCT
ejpam-4366	24	12	point	point	NOUN
ejpam-4366	24	13	and	and	CCONJ
ejpam-4366	24	14	integral	integral	ADJ
ejpam-4366	24	15	boundary	boundary	ADJ
ejpam-4366	24	16	conditions	condition	NOUN
ejpam-4366	24	17	ax	ax	NOUN
ejpam-4366	24	18	(	(	PUNCT
ejpam-4366	24	19	0	0	NUM
ejpam-4366	24	20	)	)	PUNCT
ejpam-4366	25	1	+	+	CCONJ
ejpam-4366	26	1	∫	∫	PROPN
ejpam-4366	26	2	t	t	PROPN
ejpam-4366	26	3	0	0	NUM
ejpam-4366	26	4	n	n	CCONJ
ejpam-4366	26	5	(	(	PUNCT
ejpam-4366	26	6	t)x	t)x	X
ejpam-4366	26	7	(	(	PUNCT
ejpam-4366	26	8	t	t	NOUN
ejpam-4366	26	9	)	)	PUNCT
ejpam-4366	26	10	dt	dt	NOUN
ejpam-4366	27	1	=	=	SYM
ejpam-4366	27	2	c	c	X
ejpam-4366	27	3	(	(	PUNCT
ejpam-4366	27	4	2	2	NUM
ejpam-4366	27	5	)	)	PUNCT
ejpam-4366	27	6	where	where	SCONJ
ejpam-4366	27	7	0	0	NUM
ejpam-4366	27	8	<	<	X
ejpam-4366	27	9	α	α	X
ejpam-4366	27	10	<	<	X
ejpam-4366	27	11	1	1	NUM
ejpam-4366	27	12	,	,	PUNCT
ejpam-4366	27	13	cdα	cdα	NOUN
ejpam-4366	27	14	0	0	NUM
ejpam-4366	27	15	+	+	NUM
ejpam-4366	27	16	is	be	AUX
ejpam-4366	27	17	the	the	DET
ejpam-4366	27	18	caputo	caputo	PROPN
ejpam-4366	27	19	fractional	fractional	ADJ
ejpam-4366	27	20	derivatives	derivative	NOUN
ejpam-4366	27	21	,	,	PUNCT
ejpam-4366	27	22	a	a	DET
ejpam-4366	27	23	∈	∈	ADJ
ejpam-4366	27	24	rn×n	rn×n	NOUN
ejpam-4366	27	25	and	and	CCONJ
ejpam-4366	27	26	n	n	PROPN
ejpam-4366	27	27	(	(	PUNCT
ejpam-4366	27	28	t	t	PROPN
ejpam-4366	27	29	)	)	PUNCT
ejpam-4366	27	30	:	:	PUNCT
ejpam-4366	28	1	[	[	X
ejpam-4366	28	2	0	0	NUM
ejpam-4366	28	3	,	,	PUNCT
ejpam-4366	28	4	t	t	X
ejpam-4366	28	5	]	]	PUNCT
ejpam-4366	28	6	→	→	PUNCT
ejpam-4366	28	7	rn×n	rn×n	PROPN
ejpam-4366	28	8	are	be	AUX
ejpam-4366	28	9	given	give	VERB
ejpam-4366	28	10	matrices	matrix	NOUN
ejpam-4366	28	11	and	and	CCONJ
ejpam-4366	28	12	detn	detn	VERB
ejpam-4366	28	13	̸=	̸=	PROPN
ejpam-4366	28	14	0	0	NUM
ejpam-4366	28	15	,	,	PUNCT
ejpam-4366	28	16	n	n	NOUN
ejpam-4366	28	17	=	=	SYM
ejpam-4366	28	18	(	(	PUNCT
ejpam-4366	28	19	a+	a+	PUNCT
ejpam-4366	28	20	∫	∫	PROPN
ejpam-4366	28	21	t	t	PROPN
ejpam-4366	28	22	0	0	NUM
ejpam-4366	28	23	n	n	CCONJ
ejpam-4366	28	24	(	(	PUNCT
ejpam-4366	28	25	t	t	NOUN
ejpam-4366	28	26	)	)	PUNCT
ejpam-4366	28	27	dt	dt	PROPN
ejpam-4366	28	28	)	)	PUNCT
ejpam-4366	28	29	,	,	PUNCT
ejpam-4366	28	30	φx	φx	PROPN
ejpam-4366	28	31	(	(	PUNCT
ejpam-4366	28	32	t	t	NOUN
ejpam-4366	28	33	)	)	PUNCT
ejpam-4366	29	1	=	=	NOUN
ejpam-4366	30	1	∫	∫	PROPN
ejpam-4366	30	2	t	t	PROPN
ejpam-4366	30	3	0	0	NUM
ejpam-4366	30	4	µ	µ	X
ejpam-4366	30	5	(	(	PUNCT
ejpam-4366	30	6	t	t	PROPN
ejpam-4366	30	7	,	,	PUNCT
ejpam-4366	30	8	s)x	s)x	X
ejpam-4366	30	9	(	(	PUNCT
ejpam-4366	30	10	s	s	X
ejpam-4366	30	11	)	)	PUNCT
ejpam-4366	30	12	ds	ds	ADJ
ejpam-4366	30	13	,	,	PUNCT
ejpam-4366	30	14	ψx	ψx	X
ejpam-4366	30	15	(	(	PUNCT
ejpam-4366	30	16	t	t	NOUN
ejpam-4366	30	17	)	)	PUNCT
ejpam-4366	30	18	=	=	SYM
ejpam-4366	31	1	∫	∫	PROPN
ejpam-4366	31	2	t	t	NOUN
ejpam-4366	31	3	0	0	NUM
ejpam-4366	31	4	γ	γ	X
ejpam-4366	31	5	(	(	PUNCT
ejpam-4366	31	6	t	t	PROPN
ejpam-4366	31	7	,	,	PUNCT
ejpam-4366	31	8	s)x	s)x	X
ejpam-4366	31	9	(	(	PUNCT
ejpam-4366	31	10	s	s	X
ejpam-4366	31	11	)	)	PUNCT
ejpam-4366	31	12	ds	ds	NOUN
ejpam-4366	31	13	,	,	PUNCT
ejpam-4366	31	14	where	where	SCONJ
ejpam-4366	31	15	µ	µ	X
ejpam-4366	31	16	,	,	PUNCT
ejpam-4366	31	17	γ	γ	X
ejpam-4366	31	18	:	:	PUNCT
ejpam-4366	32	1	[	[	X
ejpam-4366	32	2	0	0	NUM
ejpam-4366	32	3	,	,	PUNCT
ejpam-4366	32	4	t	t	X
ejpam-4366	32	5	]	]	PUNCT
ejpam-4366	32	6	×	×	NOUN
ejpam-4366	33	1	[	[	X
ejpam-4366	33	2	0	0	NUM
ejpam-4366	33	3	,	,	PUNCT
ejpam-4366	33	4	t	t	X
ejpam-4366	33	5	]	]	PUNCT
ejpam-4366	33	6	→	→	SYM
ejpam-4366	33	7	rn×n	rn×n	PROPN
ejpam-4366	33	8	,	,	PUNCT
ejpam-4366	33	9	with	with	ADP
ejpam-4366	33	10	µ0	µ0	NOUN
ejpam-4366	33	11	=	=	SYM
ejpam-4366	33	12	max	max	PROPN
ejpam-4366	33	13	t	t	PROPN
ejpam-4366	33	14	,	,	PUNCT
ejpam-4366	33	15	s∈[0,t	s∈[0,t	PROPN
ejpam-4366	33	16	]	]	X
ejpam-4366	33	17	∥µ	∥µ	PROPN
ejpam-4366	33	18	(	(	PUNCT
ejpam-4366	33	19	t	t	PROPN
ejpam-4366	33	20	,	,	PUNCT
ejpam-4366	33	21	s)∥	s)∥	NUM
ejpam-4366	33	22	,	,	PUNCT
ejpam-4366	33	23	γ0	γ0	PROPN
ejpam-4366	33	24	=	=	SYM
ejpam-4366	33	25	max	max	PROPN
ejpam-4366	33	26	t	t	PROPN
ejpam-4366	33	27	,	,	PUNCT
ejpam-4366	33	28	s∈[0,t	s∈[0,t	PROPN
ejpam-4366	33	29	]	]	X
ejpam-4366	34	1	∥γ	∥γ	PROPN
ejpam-4366	34	2	(	(	PUNCT
ejpam-4366	34	3	t	t	PROPN
ejpam-4366	34	4	,	,	PUNCT
ejpam-4366	34	5	s)∥	s)∥	PROPN
ejpam-4366	34	6	.	.	PUNCT
ejpam-4366	35	1	the	the	DET
ejpam-4366	35	2	rest	rest	NOUN
ejpam-4366	35	3	of	of	ADP
ejpam-4366	35	4	the	the	DET
ejpam-4366	35	5	paper	paper	NOUN
ejpam-4366	35	6	is	be	AUX
ejpam-4366	35	7	organized	organize	VERB
ejpam-4366	35	8	as	as	SCONJ
ejpam-4366	35	9	follows	follow	VERB
ejpam-4366	35	10	.	.	PUNCT
ejpam-4366	36	1	in	in	ADP
ejpam-4366	36	2	section	section	NOUN
ejpam-4366	36	3	2	2	NUM
ejpam-4366	36	4	,	,	PUNCT
ejpam-4366	36	5	we	we	PRON
ejpam-4366	36	6	give	give	VERB
ejpam-4366	36	7	some	some	DET
ejpam-4366	36	8	notations	notation	NOUN
ejpam-4366	36	9	,	,	PUNCT
ejpam-4366	36	10	recall	recall	VERB
ejpam-4366	36	11	some	some	DET
ejpam-4366	36	12	concepts	concept	NOUN
ejpam-4366	36	13	,	,	PUNCT
ejpam-4366	36	14	and	and	CCONJ
ejpam-4366	36	15	introduce	introduce	VERB
ejpam-4366	36	16	a	a	DET
ejpam-4366	36	17	concept	concept	NOUN
ejpam-4366	36	18	of	of	ADP
ejpam-4366	36	19	a	a	DET
ejpam-4366	36	20	continuous	continuous	ADJ
ejpam-4366	36	21	solution	solution	NOUN
ejpam-4366	36	22	for	for	ADP
ejpam-4366	36	23	our	our	PRON
ejpam-4366	36	24	problem	problem	NOUN
ejpam-4366	36	25	.	.	PUNCT
ejpam-4366	37	1	in	in	ADP
ejpam-4366	37	2	section	section	NOUN
ejpam-4366	37	3	3	3	NUM
ejpam-4366	37	4	,	,	PUNCT
ejpam-4366	37	5	we	we	PRON
ejpam-4366	37	6	give	give	VERB
ejpam-4366	37	7	two	two	NUM
ejpam-4366	37	8	main	main	ADJ
ejpam-4366	37	9	results	result	NOUN
ejpam-4366	37	10	:	:	PUNCT
ejpam-4366	37	11	the	the	DET
ejpam-4366	37	12	first	first	ADJ
ejpam-4366	37	13	result	result	NOUN
ejpam-4366	37	14	based	base	VERB
ejpam-4366	37	15	on	on	ADP
ejpam-4366	37	16	the	the	DET
ejpam-4366	37	17	krasnoselskii	krasnoselskii	PROPN
ejpam-4366	37	18	’s	’s	PART
ejpam-4366	37	19	fixed	fix	VERB
ejpam-4366	37	20	point	point	NOUN
ejpam-4366	37	21	theorem	theorem	NOUN
ejpam-4366	37	22	and	and	CCONJ
ejpam-4366	37	23	the	the	DET
ejpam-4366	37	24	second	second	ADJ
ejpam-4366	37	25	result	result	NOUN
ejpam-4366	37	26	based	base	VERB
ejpam-4366	37	27	on	on	ADP
ejpam-4366	37	28	the	the	DET
ejpam-4366	37	29	banach	banach	NOUN
ejpam-4366	37	30	contraction	contraction	NOUN
ejpam-4366	37	31	principle	principle	NOUN
ejpam-4366	37	32	.	.	PUNCT
ejpam-4366	38	1	2	2	X
ejpam-4366	38	2	.	.	X
ejpam-4366	38	3	preliminaries	preliminary	NOUN
ejpam-4366	38	4	in	in	ADP
ejpam-4366	38	5	this	this	DET
ejpam-4366	38	6	section	section	NOUN
ejpam-4366	38	7	,	,	PUNCT
ejpam-4366	38	8	we	we	PRON
ejpam-4366	38	9	introduce	introduce	VERB
ejpam-4366	38	10	notations	notation	NOUN
ejpam-4366	38	11	,	,	PUNCT
ejpam-4366	38	12	definitions	definition	NOUN
ejpam-4366	38	13	,	,	PUNCT
ejpam-4366	38	14	and	and	CCONJ
ejpam-4366	38	15	preliminary	preliminary	ADJ
ejpam-4366	38	16	facts	fact	NOUN
ejpam-4366	38	17	that	that	PRON
ejpam-4366	38	18	will	will	AUX
ejpam-4366	38	19	be	be	AUX
ejpam-4366	38	20	used	use	VERB
ejpam-4366	38	21	in	in	ADP
ejpam-4366	38	22	the	the	DET
ejpam-4366	38	23	remainder	remainder	NOUN
ejpam-4366	38	24	of	of	ADP
ejpam-4366	38	25	this	this	DET
ejpam-4366	38	26	paper	paper	NOUN
ejpam-4366	38	27	.	.	PUNCT
ejpam-4366	39	1	by	by	ADP
ejpam-4366	39	2	c	c	PROPN
ejpam-4366	39	3	(	(	PUNCT
ejpam-4366	39	4	[	[	X
ejpam-4366	39	5	0	0	NUM
ejpam-4366	39	6	,	,	PUNCT
ejpam-4366	39	7	t	t	X
ejpam-4366	39	8	]	]	PUNCT
ejpam-4366	39	9	;	;	PUNCT
ejpam-4366	39	10	rn	rn	X
ejpam-4366	39	11	)	)	PUNCT
ejpam-4366	39	12	we	we	PRON
ejpam-4366	39	13	denote	denote	VERB
ejpam-4366	39	14	the	the	DET
ejpam-4366	39	15	banach	banach	NOUN
ejpam-4366	39	16	space	space	NOUN
ejpam-4366	39	17	of	of	ADP
ejpam-4366	39	18	all	all	DET
ejpam-4366	39	19	continuous	continuous	ADJ
ejpam-4366	39	20	functions	function	NOUN
ejpam-4366	39	21	from	from	ADP
ejpam-4366	39	22	[	[	X
ejpam-4366	39	23	0	0	NUM
ejpam-4366	39	24	,	,	PUNCT
ejpam-4366	39	25	t	t	NOUN
ejpam-4366	39	26	]	]	PUNCT
ejpam-4366	39	27	into	into	ADP
ejpam-4366	39	28	rn	rn	PROPN
ejpam-4366	39	29	with	with	ADP
ejpam-4366	39	30	the	the	DET
ejpam-4366	39	31	norm	norm	NOUN
ejpam-4366	39	32	∥x∥	∥x∥	NOUN
ejpam-4366	39	33	=	=	SYM
ejpam-4366	39	34	max	max	PROPN
ejpam-4366	39	35	{	{	PUNCT
ejpam-4366	39	36	|x	|x	X
ejpam-4366	39	37	(	(	PUNCT
ejpam-4366	39	38	t)|	t)|	NOUN
ejpam-4366	39	39	:	:	PUNCT
ejpam-4366	39	40	t	t	PROPN
ejpam-4366	39	41	∈	∈	PROPN
ejpam-4366	40	1	[	[	X
ejpam-4366	40	2	0	0	NUM
ejpam-4366	40	3	,	,	PUNCT
ejpam-4366	40	4	t	t	X
ejpam-4366	40	5	]	]	PUNCT
ejpam-4366	40	6	}	}	PUNCT
ejpam-4366	40	7	,	,	PUNCT
ejpam-4366	40	8	where	where	SCONJ
ejpam-4366	40	9	|·|	|·|	NOUN
ejpam-4366	40	10	norm	norm	NOUN
ejpam-4366	40	11	in	in	ADP
ejpam-4366	40	12	rn	rn	PROPN
ejpam-4366	40	13	.	.	PUNCT
ejpam-4366	40	14	definition	definition	NOUN
ejpam-4366	40	15	1	1	NUM
ejpam-4366	40	16	.	.	PUNCT
ejpam-4366	40	17	(	(	PUNCT
ejpam-4366	40	18	see	see	VERB
ejpam-4366	40	19	[	[	X
ejpam-4366	40	20	28	28	NUM
ejpam-4366	40	21	]	]	NUM
ejpam-4366	40	22	)	)	PUNCT
ejpam-4366	40	23	.	.	PUNCT
ejpam-4366	41	1	the	the	DET
ejpam-4366	41	2	riemann	riemann	PROPN
ejpam-4366	41	3	–	–	PUNCT
ejpam-4366	41	4	liouville	liouville	VERB
ejpam-4366	41	5	fractional	fractional	ADJ
ejpam-4366	41	6	integral	integral	ADJ
ejpam-4366	41	7	of	of	ADP
ejpam-4366	41	8	order	order	NOUN
ejpam-4366	41	9	α	α	X
ejpam-4366	41	10	>	>	X
ejpam-4366	41	11	0of	0of	NOUN
ejpam-4366	41	12	a	a	DET
ejpam-4366	41	13	continuous	continuous	ADJ
ejpam-4366	41	14	function	function	NOUN
ejpam-4366	41	15	y	y	NOUN
ejpam-4366	41	16	:	:	PUNCT
ejpam-4366	42	1	[	[	X
ejpam-4366	42	2	0,∞	0,∞	NUM
ejpam-4366	42	3	)	)	PUNCT
ejpam-4366	42	4	→	→	SYM
ejpam-4366	42	5	r	r	X
ejpam-4366	42	6	,	,	PUNCT
ejpam-4366	42	7	is	be	AUX
ejpam-4366	42	8	defined	define	VERB
ejpam-4366	42	9	by	by	ADP
ejpam-4366	42	10	jαy	jαy	PROPN
ejpam-4366	42	11	(	(	PUNCT
ejpam-4366	42	12	x	x	X
ejpam-4366	42	13	)	)	PUNCT
ejpam-4366	42	14	=	=	SYM
ejpam-4366	42	15	1	1	NUM
ejpam-4366	42	16	γ	γ	X
ejpam-4366	42	17	(	(	PUNCT
ejpam-4366	42	18	α	α	NOUN
ejpam-4366	42	19	)	)	PUNCT
ejpam-4366	42	20	∫	∫	PROPN
ejpam-4366	42	21	x	x	X
ejpam-4366	42	22	0	0	PUNCT
ejpam-4366	42	23	(	(	PUNCT
ejpam-4366	42	24	x−	x−	PROPN
ejpam-4366	42	25	s)α−1	s)α−1	PROPN
ejpam-4366	42	26	y	y	PROPN
ejpam-4366	42	27	(	(	PUNCT
ejpam-4366	42	28	s	s	NOUN
ejpam-4366	42	29	)	)	PUNCT
ejpam-4366	42	30	ds	ds	PROPN
ejpam-4366	42	31	,	,	PUNCT
ejpam-4366	42	32	provided	provide	VERB
ejpam-4366	42	33	the	the	DET
ejpam-4366	42	34	right	right	ADJ
ejpam-4366	42	35	-	-	PUNCT
ejpam-4366	42	36	hand	hand	NOUN
ejpam-4366	42	37	side	side	NOUN
ejpam-4366	42	38	exists	exist	VERB
ejpam-4366	42	39	on	on	ADP
ejpam-4366	42	40	(	(	PUNCT
ejpam-4366	42	41	0,∞	0,∞	NOUN
ejpam-4366	42	42	)	)	PUNCT
ejpam-4366	42	43	,	,	PUNCT
ejpam-4366	42	44	where	where	SCONJ
ejpam-4366	42	45	γ	γ	X
ejpam-4366	42	46	(	(	PUNCT
ejpam-4366	42	47	·	·	PUNCT
ejpam-4366	42	48	)	)	PUNCT
ejpam-4366	42	49	is	be	AUX
ejpam-4366	42	50	the	the	DET
ejpam-4366	42	51	gamma	gamma	NOUN
ejpam-4366	42	52	function	function	NOUN
ejpam-4366	42	53	defined	define	VERB
ejpam-4366	42	54	for	for	ADP
ejpam-4366	42	55	any	any	DET
ejpam-4366	42	56	complex	complex	ADJ
ejpam-4366	42	57	number	number	NOUN
ejpam-4366	42	58	z	z	NOUN
ejpam-4366	42	59	as	as	ADP
ejpam-4366	42	60	γ	γ	X
ejpam-4366	42	61	(	(	PUNCT
ejpam-4366	42	62	z	z	NOUN
ejpam-4366	42	63	)	)	PUNCT
ejpam-4366	43	1	=	=	SYM
ejpam-4366	43	2	∫	∫	PROPN
ejpam-4366	44	1	∞	∞	PROPN
ejpam-4366	44	2	0	0	NUM
ejpam-4366	44	3	tz−1e−tdt	tz−1e−tdt	ADJ
ejpam-4366	44	4	.	.	PUNCT
ejpam-4366	45	1	m.j	m.j	PROPN
ejpam-4366	45	2	.	.	PROPN
ejpam-4366	45	3	mardanov	mardanov	PROPN
ejpam-4366	45	4	,	,	PUNCT
ejpam-4366	45	5	h.n	h.n	PROPN
ejpam-4366	45	6	.	.	PROPN
ejpam-4366	45	7	aliyev	aliyev	PROPN
ejpam-4366	45	8	,	,	PUNCT
ejpam-4366	45	9	y.a	y.a	PROPN
ejpam-4366	45	10	.	.	PROPN
ejpam-4366	45	11	sharifov	sharifov	PROPN
ejpam-4366	45	12	/	/	SYM
ejpam-4366	45	13	eur	eur	PROPN
ejpam-4366	45	14	.	.	PUNCT
ejpam-4366	46	1	j.	j.	PROPN
ejpam-4366	46	2	pure	pure	PROPN
ejpam-4366	46	3	appl	appl	PROPN
ejpam-4366	46	4	.	.	PROPN
ejpam-4366	46	5	math	math	PROPN
ejpam-4366	46	6	,	,	PUNCT
ejpam-4366	46	7	15	15	NUM
ejpam-4366	46	8	(	(	PUNCT
ejpam-4366	46	9	2	2	NUM
ejpam-4366	46	10	)	)	PUNCT
ejpam-4366	46	11	(	(	PUNCT
ejpam-4366	46	12	2022	2022	NUM
ejpam-4366	46	13	)	)	PUNCT
ejpam-4366	46	14	,	,	PUNCT
ejpam-4366	46	15	726	726	NUM
ejpam-4366	46	16	-	-	SYM
ejpam-4366	46	17	735	735	NUM
ejpam-4366	46	18	728	728	NUM
ejpam-4366	46	19	definition	definition	NOUN
ejpam-4366	46	20	2	2	NUM
ejpam-4366	46	21	.	.	PUNCT
ejpam-4366	47	1	(	(	PUNCT
ejpam-4366	47	2	see	see	VERB
ejpam-4366	47	3	[	[	X
ejpam-4366	47	4	28	28	NUM
ejpam-4366	47	5	]	]	NUM
ejpam-4366	47	6	)	)	PUNCT
ejpam-4366	47	7	.	.	PUNCT
ejpam-4366	48	1	the	the	DET
ejpam-4366	48	2	(	(	PUNCT
ejpam-4366	48	3	right	right	ADV
ejpam-4366	48	4	-	-	PUNCT
ejpam-4366	48	5	sided	sided	ADJ
ejpam-4366	48	6	)	)	PUNCT
ejpam-4366	48	7	riemann	riemann	PROPN
ejpam-4366	48	8	-	-	PUNCT
ejpam-4366	48	9	liouville	liouville	VERB
ejpam-4366	48	10	fractional	fractional	ADJ
ejpam-4366	48	11	derivative	derivative	NOUN
ejpam-4366	48	12	is	be	AUX
ejpam-4366	48	13	defined	define	VERB
ejpam-4366	48	14	by	by	ADP
ejpam-4366	48	15	rldαy	rldαy	NOUN
ejpam-4366	48	16	=	=	SYM
ejpam-4366	48	17	(	(	PUNCT
ejpam-4366	48	18	dαy	dαy	PROPN
ejpam-4366	48	19	)	)	PUNCT
ejpam-4366	48	20	(	(	PUNCT
ejpam-4366	48	21	x	x	X
ejpam-4366	48	22	)	)	PUNCT
ejpam-4366	48	23	=	=	SYM
ejpam-4366	49	1	d	d	X
ejpam-4366	49	2	dxn	dxn	X
ejpam-4366	49	3	(	(	PUNCT
ejpam-4366	49	4	jn−αy	jn−αy	X
ejpam-4366	49	5	)	)	PUNCT
ejpam-4366	49	6	(	(	PUNCT
ejpam-4366	49	7	x	x	X
ejpam-4366	49	8	)	)	PUNCT
ejpam-4366	49	9	,	,	PUNCT
ejpam-4366	49	10	x	x	X
ejpam-4366	49	11	>	>	X
ejpam-4366	49	12	0	0	NUM
ejpam-4366	49	13	,	,	PUNCT
ejpam-4366	49	14	where	where	SCONJ
ejpam-4366	49	15	n	n	NOUN
ejpam-4366	49	16	=	=	PUNCT
ejpam-4366	50	1	[	[	X
ejpam-4366	50	2	α	α	X
ejpam-4366	50	3	]	]	X
ejpam-4366	50	4	+	+	NOUN
ejpam-4366	50	5	1	1	NUM
ejpam-4366	50	6	,	,	PUNCT
ejpam-4366	50	7	[	[	X
ejpam-4366	50	8	α]denotes	α]denote	VERB
ejpam-4366	50	9	the	the	DET
ejpam-4366	50	10	integer	integer	NOUN
ejpam-4366	50	11	part	part	NOUN
ejpam-4366	50	12	of	of	ADP
ejpam-4366	50	13	real	real	ADJ
ejpam-4366	50	14	number	number	NOUN
ejpam-4366	50	15	α	α	NOUN
ejpam-4366	50	16	,	,	PUNCT
ejpam-4366	50	17	provided	provide	VERB
ejpam-4366	50	18	the	the	DET
ejpam-4366	50	19	right	right	ADJ
ejpam-4366	50	20	-	-	PUNCT
ejpam-4366	50	21	hand	hand	NOUN
ejpam-4366	50	22	side	side	NOUN
ejpam-4366	50	23	is	be	AUX
ejpam-4366	50	24	point	point	ADV
ejpam-4366	50	25	-	-	PUNCT
ejpam-4366	50	26	wise	wise	ADJ
ejpam-4366	50	27	defined	define	VERB
ejpam-4366	50	28	on	on	ADP
ejpam-4366	50	29	(	(	PUNCT
ejpam-4366	50	30	0,∞	0,∞	NOUN
ejpam-4366	50	31	)	)	PUNCT
ejpam-4366	50	32	.	.	PUNCT
ejpam-4366	51	1	the	the	DET
ejpam-4366	51	2	riemann	riemann	PROPN
ejpam-4366	51	3	-	-	PUNCT
ejpam-4366	51	4	liouville	liouville	VERB
ejpam-4366	51	5	fractional	fractional	ADJ
ejpam-4366	51	6	derivative	derivative	NOUN
ejpam-4366	51	7	is	be	AUX
ejpam-4366	51	8	left	leave	VERB
ejpam-4366	51	9	-	-	PUNCT
ejpam-4366	51	10	inverse	inverse	NOUN
ejpam-4366	51	11	(	(	PUNCT
ejpam-4366	51	12	but	but	CCONJ
ejpam-4366	51	13	not	not	PART
ejpam-4366	51	14	right	right	ADJ
ejpam-4366	51	15	-	-	PUNCT
ejpam-4366	51	16	inverse	inverse	NOUN
ejpam-4366	51	17	)	)	PUNCT
ejpam-4366	51	18	of	of	ADP
ejpam-4366	51	19	the	the	DET
ejpam-4366	51	20	riemann	riemann	PROPN
ejpam-4366	51	21	-	-	PUNCT
ejpam-4366	51	22	liouville	liouville	VERB
ejpam-4366	51	23	fractional	fractional	ADJ
ejpam-4366	51	24	integral	integral	ADJ
ejpam-4366	51	25	,	,	PUNCT
ejpam-4366	51	26	which	which	PRON
ejpam-4366	51	27	is	be	AUX
ejpam-4366	51	28	a	a	DET
ejpam-4366	51	29	natural	natural	ADJ
ejpam-4366	51	30	generalization	generalization	NOUN
ejpam-4366	51	31	of	of	ADP
ejpam-4366	51	32	the	the	DET
ejpam-4366	51	33	cauchy	cauchy	ADJ
ejpam-4366	51	34	formula	formula	NOUN
ejpam-4366	51	35	for	for	ADP
ejpam-4366	51	36	the	the	DET
ejpam-4366	51	37	n	n	ADV
ejpam-4366	51	38	-	-	ADJ
ejpam-4366	51	39	fold	fold	ADJ
ejpam-4366	51	40	primitive	primitive	ADJ
ejpam-4366	51	41	of	of	ADP
ejpam-4366	51	42	a	a	DET
ejpam-4366	51	43	function	function	NOUN
ejpam-4366	51	44	y.	y.	NOUN
ejpam-4366	51	45	as	as	ADP
ejpam-4366	51	46	to	to	ADP
ejpam-4366	51	47	the	the	DET
ejpam-4366	51	48	initial	initial	ADJ
ejpam-4366	51	49	value	value	NOUN
ejpam-4366	51	50	problems	problem	NOUN
ejpam-4366	51	51	for	for	ADP
ejpam-4366	51	52	fractional	fractional	ADJ
ejpam-4366	51	53	differential	differential	ADJ
ejpam-4366	51	54	equations	equation	NOUN
ejpam-4366	51	55	with	with	ADP
ejpam-4366	51	56	fractional	fractional	ADJ
ejpam-4366	51	57	derivatives	derivative	NOUN
ejpam-4366	51	58	in	in	ADP
ejpam-4366	51	59	the	the	DET
ejpam-4366	51	60	riemann	riemann	PROPN
ejpam-4366	51	61	-	-	PUNCT
ejpam-4366	51	62	liouville	liouville	VERB
ejpam-4366	51	63	sense	sense	NOUN
ejpam-4366	51	64	,	,	PUNCT
ejpam-4366	51	65	they	they	PRON
ejpam-4366	51	66	should	should	AUX
ejpam-4366	51	67	be	be	AUX
ejpam-4366	51	68	given	give	VERB
ejpam-4366	51	69	as	as	ADP
ejpam-4366	51	70	(	(	PUNCT
ejpam-4366	51	71	bounded	bounded	ADJ
ejpam-4366	51	72	)	)	PUNCT
ejpam-4366	51	73	initial	initial	ADJ
ejpam-4366	51	74	values	value	NOUN
ejpam-4366	51	75	of	of	ADP
ejpam-4366	51	76	the	the	DET
ejpam-4366	51	77	fractional	fractional	ADJ
ejpam-4366	51	78	integral	integral	ADJ
ejpam-4366	51	79	jn−α	jn−α	NOUN
ejpam-4366	51	80	and	and	CCONJ
ejpam-4366	51	81	of	of	ADP
ejpam-4366	51	82	its	its	PRON
ejpam-4366	51	83	integer	integer	NOUN
ejpam-4366	51	84	derivatives	derivative	NOUN
ejpam-4366	51	85	of	of	ADP
ejpam-4366	51	86	order	order	NOUN
ejpam-4366	51	87	k	k	NOUN
ejpam-4366	51	88	=	=	SYM
ejpam-4366	51	89	1	1	NUM
ejpam-4366	51	90	,	,	PUNCT
ejpam-4366	51	91	2	2	NUM
ejpam-4366	51	92	,	,	PUNCT
ejpam-4366	51	93	...	...	PUNCT
ejpam-4366	51	94	,	,	PUNCT
ejpam-4366	51	95	n−	n−	NOUN
ejpam-4366	51	96	1	1	NUM
ejpam-4366	51	97	.	.	PUNCT
ejpam-4366	52	1	definition	definition	NOUN
ejpam-4366	52	2	3	3	NUM
ejpam-4366	52	3	.	.	PUNCT
ejpam-4366	53	1	(	(	PUNCT
ejpam-4366	53	2	see	see	VERB
ejpam-4366	53	3	[	[	X
ejpam-4366	53	4	28	28	NUM
ejpam-4366	53	5	]	]	NUM
ejpam-4366	53	6	)	)	PUNCT
ejpam-4366	53	7	.	.	PUNCT
ejpam-4366	54	1	the	the	DET
ejpam-4366	54	2	caputo	caputo	PROPN
ejpam-4366	54	3	fractional	fractional	PROPN
ejpam-4366	54	4	derivative	derivative	NOUN
ejpam-4366	54	5	of	of	ADP
ejpam-4366	54	6	order	order	NOUN
ejpam-4366	54	7	α	α	X
ejpam-4366	54	8	>	>	X
ejpam-4366	54	9	0	0	NUM
ejpam-4366	54	10	of	of	ADP
ejpam-4366	54	11	a	a	DET
ejpam-4366	54	12	continuous	continuous	ADJ
ejpam-4366	54	13	function	function	NOUN
ejpam-4366	54	14	y	y	PROPN
ejpam-4366	54	15	,	,	PUNCT
ejpam-4366	54	16	is	be	AUX
ejpam-4366	54	17	defined	define	VERB
ejpam-4366	54	18	by	by	ADP
ejpam-4366	54	19	cdα	cdα	NOUN
ejpam-4366	54	20	0+y	0+y	NUM
ejpam-4366	54	21	=	=	SYM
ejpam-4366	54	22	(	(	PUNCT
ejpam-4366	54	23	dαy	dαy	PROPN
ejpam-4366	54	24	)	)	PUNCT
ejpam-4366	54	25	(	(	PUNCT
ejpam-4366	54	26	x	x	X
ejpam-4366	54	27	)	)	PUNCT
ejpam-4366	54	28	=	=	SYM
ejpam-4366	54	29	(	(	PUNCT
ejpam-4366	54	30	jn−αy(n	jn−αy(n	PROPN
ejpam-4366	54	31	)	)	PUNCT
ejpam-4366	54	32	)	)	PUNCT
ejpam-4366	55	1	(	(	PUNCT
ejpam-4366	55	2	x	x	X
ejpam-4366	55	3	)	)	PUNCT
ejpam-4366	55	4	,	,	PUNCT
ejpam-4366	55	5	n−	n−	NOUN
ejpam-4366	55	6	1	1	NUM
ejpam-4366	55	7	<	<	X
ejpam-4366	55	8	α	α	PROPN
ejpam-4366	55	9	≤	≤	PUNCT
ejpam-4366	55	10	n	n	CCONJ
ejpam-4366	55	11	,	,	PUNCT
ejpam-4366	55	12	x	x	X
ejpam-4366	55	13	>	>	X
ejpam-4366	55	14	0	0	NUM
ejpam-4366	55	15	,	,	PUNCT
ejpam-4366	55	16	provided	provide	VERB
ejpam-4366	55	17	the	the	DET
ejpam-4366	55	18	right	right	ADJ
ejpam-4366	55	19	-	-	PUNCT
ejpam-4366	55	20	hand	hand	NOUN
ejpam-4366	55	21	side	side	NOUN
ejpam-4366	55	22	is	be	AUX
ejpam-4366	55	23	point	point	ADV
ejpam-4366	55	24	-	-	PUNCT
ejpam-4366	55	25	wise	wise	ADJ
ejpam-4366	55	26	defined	define	VERB
ejpam-4366	55	27	on	on	ADP
ejpam-4366	55	28	(	(	PUNCT
ejpam-4366	55	29	a	a	PRON
ejpam-4366	55	30	,	,	PUNCT
ejpam-4366	55	31	∞	∞	PROPN
ejpam-4366	55	32	)	)	PUNCT
ejpam-4366	55	33	.	.	PUNCT
ejpam-4366	56	1	obviously	obviously	ADV
ejpam-4366	56	2	,	,	PUNCT
ejpam-4366	56	3	this	this	DET
ejpam-4366	56	4	definition	definition	NOUN
ejpam-4366	56	5	allows	allow	VERB
ejpam-4366	56	6	one	one	NUM
ejpam-4366	56	7	to	to	PART
ejpam-4366	56	8	consider	consider	VERB
ejpam-4366	56	9	the	the	DET
ejpam-4366	56	10	initial	initial	ADJ
ejpam-4366	56	11	-	-	PUNCT
ejpam-4366	56	12	value	value	NOUN
ejpam-4366	56	13	problems	problem	NOUN
ejpam-4366	56	14	for	for	ADP
ejpam-4366	56	15	the	the	DET
ejpam-4366	56	16	fractional	fractional	ADJ
ejpam-4366	56	17	differential	differential	ADJ
ejpam-4366	56	18	equations	equation	NOUN
ejpam-4366	56	19	with	with	ADP
ejpam-4366	56	20	initial	initial	ADJ
ejpam-4366	56	21	conditions	condition	NOUN
ejpam-4366	56	22	that	that	PRON
ejpam-4366	56	23	are	be	AUX
ejpam-4366	56	24	expressed	express	VERB
ejpam-4366	56	25	in	in	ADP
ejpam-4366	56	26	terms	term	NOUN
ejpam-4366	56	27	of	of	ADP
ejpam-4366	56	28	a	a	DET
ejpam-4366	56	29	given	give	VERB
ejpam-4366	56	30	number	number	NOUN
ejpam-4366	56	31	of	of	ADP
ejpam-4366	56	32	bounded	bounded	ADJ
ejpam-4366	56	33	values	value	NOUN
ejpam-4366	56	34	assumed	assume	VERB
ejpam-4366	56	35	by	by	ADP
ejpam-4366	56	36	the	the	DET
ejpam-4366	56	37	field	field	NOUN
ejpam-4366	56	38	variable	variable	NOUN
ejpam-4366	56	39	and	and	CCONJ
ejpam-4366	56	40	its	its	PRON
ejpam-4366	56	41	derivatives	derivative	NOUN
ejpam-4366	56	42	of	of	ADP
ejpam-4366	56	43	integer	integer	NOUN
ejpam-4366	56	44	order	order	NOUN
ejpam-4366	56	45	.	.	PUNCT
ejpam-4366	57	1	remark	remark	NOUN
ejpam-4366	57	2	1	1	NUM
ejpam-4366	57	3	.	.	PUNCT
ejpam-4366	58	1	under	under	ADP
ejpam-4366	58	2	natural	natural	ADJ
ejpam-4366	58	3	conditions	condition	NOUN
ejpam-4366	58	4	on	on	ADP
ejpam-4366	58	5	y	y	PROPN
ejpam-4366	58	6	(	(	PUNCT
ejpam-4366	58	7	x	x	NOUN
ejpam-4366	58	8	)	)	PUNCT
ejpam-4366	58	9	,	,	PUNCT
ejpam-4366	58	10	the	the	DET
ejpam-4366	58	11	caputo	caputo	PROPN
ejpam-4366	58	12	fractional	fractional	PROPN
ejpam-4366	58	13	derivative	derivative	NOUN
ejpam-4366	58	14	becomes	become	VERB
ejpam-4366	58	15	the	the	DET
ejpam-4366	58	16	conventional	conventional	ADJ
ejpam-4366	58	17	integer	integer	NOUN
ejpam-4366	58	18	order	order	NOUN
ejpam-4366	58	19	derivative	derivative	NOUN
ejpam-4366	58	20	of	of	ADP
ejpam-4366	58	21	the	the	DET
ejpam-4366	58	22	function	function	NOUN
ejpam-4366	58	23	y	y	PROPN
ejpam-4366	58	24	(	(	PUNCT
ejpam-4366	58	25	x	x	NOUN
ejpam-4366	58	26	)	)	PUNCT
ejpam-4366	58	27	as	as	ADP
ejpam-4366	58	28	α→	α→	PROPN
ejpam-4366	58	29	n.	n.	NOUN
ejpam-4366	58	30	remark	remark	NOUN
ejpam-4366	58	31	2	2	NUM
ejpam-4366	58	32	.	.	PUNCT
ejpam-4366	59	1	(	(	PUNCT
ejpam-4366	59	2	see	see	VERB
ejpam-4366	59	3	[	[	X
ejpam-4366	59	4	28	28	NUM
ejpam-4366	59	5	]	]	NUM
ejpam-4366	59	6	)	)	PUNCT
ejpam-4366	59	7	.	.	PUNCT
ejpam-4366	60	1	let	let	VERB
ejpam-4366	60	2	α	α	PRON
ejpam-4366	60	3	,	,	PUNCT
ejpam-4366	60	4	β	β	X
ejpam-4366	60	5	>	>	X
ejpam-4366	60	6	0	0	PUNCT
ejpam-4366	61	1	and	and	CCONJ
ejpam-4366	61	2	n	n	NOUN
ejpam-4366	61	3	=	=	PUNCT
ejpam-4366	62	1	[	[	X
ejpam-4366	62	2	α	α	X
ejpam-4366	62	3	]	]	X
ejpam-4366	62	4	+	+	CCONJ
ejpam-4366	62	5	1	1	NUM
ejpam-4366	62	6	;	;	PUNCT
ejpam-4366	62	7	then	then	ADV
ejpam-4366	62	8	the	the	DET
ejpam-4366	62	9	following	follow	VERB
ejpam-4366	62	10	relations	relation	NOUN
ejpam-4366	62	11	hold	hold	VERB
ejpam-4366	62	12	:	:	PUNCT
ejpam-4366	62	13	cdα	cdα	NOUN
ejpam-4366	62	14	0+t	0+t	PUNCT
ejpam-4366	63	1	β	β	X
ejpam-4366	63	2	=	=	SYM
ejpam-4366	63	3	γ(β	γ(β	PROPN
ejpam-4366	63	4	)	)	PUNCT
ejpam-4366	63	5	γ(β−α	γ(β−α	PROPN
ejpam-4366	63	6	)	)	PUNCT
ejpam-4366	64	1	t	t	PROPN
ejpam-4366	64	2	β−α	β−α	NOUN
ejpam-4366	64	3	,	,	PUNCT
ejpam-4366	64	4	β	β	X
ejpam-4366	64	5	>	>	X
ejpam-4366	64	6	n	n	PROPN
ejpam-4366	64	7	,	,	PUNCT
ejpam-4366	64	8	cdα	cdα	NOUN
ejpam-4366	64	9	0+t	0+t	PUNCT
ejpam-4366	65	1	k	k	X
ejpam-4366	65	2	=	=	PUNCT
ejpam-4366	65	3	0	0	PROPN
ejpam-4366	65	4	,	,	PUNCT
ejpam-4366	65	5	k	k	NOUN
ejpam-4366	65	6	=	=	SYM
ejpam-4366	65	7	0	0	NUM
ejpam-4366	65	8	,	,	PUNCT
ejpam-4366	65	9	1	1	NUM
ejpam-4366	65	10	,	,	PUNCT
ejpam-4366	65	11	...	...	PUNCT
ejpam-4366	65	12	,	,	PUNCT
ejpam-4366	65	13	n−	n−	NOUN
ejpam-4366	65	14	1	1	NUM
ejpam-4366	65	15	.	.	PUNCT
ejpam-4366	66	1	lemma	lemma	PROPN
ejpam-4366	66	2	1	1	NUM
ejpam-4366	66	3	.	.	PUNCT
ejpam-4366	67	1	(	(	PUNCT
ejpam-4366	67	2	see	see	VERB
ejpam-4366	67	3	[	[	X
ejpam-4366	67	4	28	28	NUM
ejpam-4366	67	5	]	]	NUM
ejpam-4366	67	6	)	)	PUNCT
ejpam-4366	67	7	.	.	PUNCT
ejpam-4366	68	1	for	for	ADP
ejpam-4366	68	2	α	α	PROPN
ejpam-4366	68	3	>	>	X
ejpam-4366	68	4	0	0	PROPN
ejpam-4366	68	5	,	,	PUNCT
ejpam-4366	68	6	y	y	PROPN
ejpam-4366	68	7	(	(	PUNCT
ejpam-4366	68	8	t	t	PROPN
ejpam-4366	68	9	)	)	PUNCT
ejpam-4366	68	10	∈	∈	PROPN
ejpam-4366	68	11	c	c	NOUN
ejpam-4366	68	12	(	(	PUNCT
ejpam-4366	68	13	[	[	X
ejpam-4366	68	14	0	0	NUM
ejpam-4366	68	15	,	,	PUNCT
ejpam-4366	68	16	t	t	X
ejpam-4366	68	17	]	]	PUNCT
ejpam-4366	68	18	)	)	PUNCT
ejpam-4366	68	19	⋂	⋂	PROPN
ejpam-4366	68	20	l1	l1	PROPN
ejpam-4366	68	21	(	(	PUNCT
ejpam-4366	68	22	[	[	X
ejpam-4366	68	23	0	0	NUM
ejpam-4366	68	24	,	,	PUNCT
ejpam-4366	68	25	t	t	X
ejpam-4366	68	26	]	]	PUNCT
ejpam-4366	68	27	)	)	PUNCT
ejpam-4366	68	28	,	,	PUNCT
ejpam-4366	68	29	the	the	DET
ejpam-4366	68	30	homogeneous	homogeneous	ADJ
ejpam-4366	68	31	fractional	fractional	ADJ
ejpam-4366	68	32	differential	differential	ADJ
ejpam-4366	68	33	equation	equation	NOUN
ejpam-4366	68	34	cdα	cdα	NOUN
ejpam-4366	68	35	0+y	0+y	NUM
ejpam-4366	68	36	(	(	PUNCT
ejpam-4366	68	37	t	t	PROPN
ejpam-4366	68	38	)	)	PUNCT
ejpam-4366	68	39	=	=	SYM
ejpam-4366	68	40	0	0	NUM
ejpam-4366	68	41	,	,	PUNCT
ejpam-4366	68	42	has	have	VERB
ejpam-4366	68	43	a	a	DET
ejpam-4366	68	44	solution	solution	NOUN
ejpam-4366	68	45	y	y	PROPN
ejpam-4366	68	46	(	(	PUNCT
ejpam-4366	68	47	t	t	PROPN
ejpam-4366	68	48	)	)	PUNCT
ejpam-4366	68	49	=	=	SYM
ejpam-4366	68	50	c0	c0	PROPN
ejpam-4366	68	51	+	+	X
ejpam-4366	68	52	c1t+	c1t+	PROPN
ejpam-4366	68	53	c2	c2	PROPN
ejpam-4366	68	54	t	t	PROPN
ejpam-4366	68	55	2	2	NUM
ejpam-4366	68	56	...	...	PUNCT
ejpam-4366	68	57	+	+	CCONJ
ejpam-4366	68	58	cn−1	cn−1	PROPN
ejpam-4366	68	59	t	t	PROPN
ejpam-4366	68	60	n−1	n−1	PROPN
ejpam-4366	68	61	,	,	PUNCT
ejpam-4366	68	62	where	where	SCONJ
ejpam-4366	68	63	ci	ci	PROPN
ejpam-4366	68	64	∈	∈	PROPN
ejpam-4366	68	65	r	r	PROPN
ejpam-4366	68	66	,	,	PUNCT
ejpam-4366	68	67	i	i	NOUN
ejpam-4366	68	68	=	=	NOUN
ejpam-4366	68	69	1	1	NUM
ejpam-4366	68	70	,	,	PUNCT
ejpam-4366	68	71	2	2	NUM
ejpam-4366	68	72	,	,	PUNCT
ejpam-4366	68	73	...	...	PUNCT
ejpam-4366	68	74	,	,	PUNCT
ejpam-4366	68	75	n−	n−	NOUN
ejpam-4366	68	76	1	1	NUM
ejpam-4366	68	77	and	and	CCONJ
ejpam-4366	68	78	n	n	NOUN
ejpam-4366	68	79	=	=	PUNCT
ejpam-4366	69	1	[	[	X
ejpam-4366	69	2	α	α	X
ejpam-4366	69	3	]	]	X
ejpam-4366	69	4	+	+	NOUN
ejpam-4366	69	5	1	1	X
ejpam-4366	69	6	.	.	X
ejpam-4366	69	7	lemma	lemma	PROPN
ejpam-4366	69	8	2	2	NUM
ejpam-4366	69	9	.	.	PUNCT
ejpam-4366	69	10	(	(	PUNCT
ejpam-4366	69	11	see	see	VERB
ejpam-4366	69	12	[	[	X
ejpam-4366	69	13	28	28	NUM
ejpam-4366	69	14	]	]	NUM
ejpam-4366	69	15	)	)	PUNCT
ejpam-4366	69	16	.	.	PUNCT
ejpam-4366	70	1	assume	assume	VERB
ejpam-4366	70	2	that	that	SCONJ
ejpam-4366	70	3	y	y	PROPN
ejpam-4366	70	4	(	(	PUNCT
ejpam-4366	70	5	t	t	PROPN
ejpam-4366	70	6	)	)	PUNCT
ejpam-4366	70	7	∈	∈	PROPN
ejpam-4366	70	8	c	c	NOUN
ejpam-4366	70	9	(	(	PUNCT
ejpam-4366	70	10	[	[	X
ejpam-4366	70	11	0	0	NUM
ejpam-4366	70	12	,	,	PUNCT
ejpam-4366	70	13	t	t	X
ejpam-4366	70	14	]	]	PUNCT
ejpam-4366	70	15	)	)	PUNCT
ejpam-4366	70	16	⋂	⋂	PROPN
ejpam-4366	70	17	l1	l1	PROPN
ejpam-4366	70	18	(	(	PUNCT
ejpam-4366	70	19	[	[	X
ejpam-4366	70	20	0	0	NUM
ejpam-4366	70	21	,	,	PUNCT
ejpam-4366	70	22	t	t	X
ejpam-4366	70	23	]	]	PUNCT
ejpam-4366	70	24	)	)	PUNCT
ejpam-4366	70	25	,	,	PUNCT
ejpam-4366	70	26	with	with	ADP
ejpam-4366	70	27	derivative	derivative	NOUN
ejpam-4366	70	28	of	of	ADP
ejpam-4366	70	29	order	order	NOUN
ejpam-4366	70	30	n	n	PRON
ejpam-4366	70	31	that	that	PRON
ejpam-4366	70	32	belongs	belong	VERB
ejpam-4366	70	33	to	to	ADP
ejpam-4366	70	34	c	c	PROPN
ejpam-4366	70	35	(	(	PUNCT
ejpam-4366	70	36	[	[	X
ejpam-4366	70	37	0	0	NUM
ejpam-4366	70	38	,	,	PUNCT
ejpam-4366	70	39	t	t	X
ejpam-4366	70	40	]	]	PUNCT
ejpam-4366	70	41	)	)	PUNCT
ejpam-4366	70	42	⋂	⋂	PROPN
ejpam-4366	70	43	l1	l1	PROPN
ejpam-4366	70	44	(	(	PUNCT
ejpam-4366	70	45	[	[	X
ejpam-4366	70	46	0	0	NUM
ejpam-4366	70	47	,	,	PUNCT
ejpam-4366	70	48	t	t	X
ejpam-4366	70	49	]	]	PUNCT
ejpam-4366	70	50	)	)	PUNCT
ejpam-4366	70	51	;	;	PUNCT
ejpam-4366	70	52	then	then	ADV
ejpam-4366	70	53	iα0	iα0	PROPN
ejpam-4366	70	54	+	+	PROPN
ejpam-4366	70	55	cdα	cdα	NOUN
ejpam-4366	70	56	0+y	0+y	NUM
ejpam-4366	70	57	(	(	PUNCT
ejpam-4366	70	58	t	t	PROPN
ejpam-4366	70	59	)	)	PUNCT
ejpam-4366	71	1	=	=	SYM
ejpam-4366	71	2	y	y	PROPN
ejpam-4366	71	3	(	(	PUNCT
ejpam-4366	71	4	t	t	PROPN
ejpam-4366	71	5	)	)	PUNCT
ejpam-4366	71	6	+	+	CCONJ
ejpam-4366	71	7	c0	c0	PROPN
ejpam-4366	71	8	+	+	X
ejpam-4366	71	9	c1t+	c1t+	PROPN
ejpam-4366	71	10	c2	c2	PROPN
ejpam-4366	71	11	t	t	PROPN
ejpam-4366	71	12	2	2	NUM
ejpam-4366	71	13	...	...	PUNCT
ejpam-4366	71	14	+	+	CCONJ
ejpam-4366	72	1	cn−1	cn−1	PROPN
ejpam-4366	72	2	t	t	PROPN
ejpam-4366	72	3	n−1	n−1	PROPN
ejpam-4366	72	4	,	,	PUNCT
ejpam-4366	72	5	where	where	SCONJ
ejpam-4366	72	6	ci	ci	PROPN
ejpam-4366	72	7	∈	∈	PROPN
ejpam-4366	72	8	r	r	PROPN
ejpam-4366	72	9	,	,	PUNCT
ejpam-4366	72	10	i	i	NOUN
ejpam-4366	72	11	=	=	NOUN
ejpam-4366	72	12	1	1	NUM
ejpam-4366	72	13	,	,	PUNCT
ejpam-4366	72	14	2	2	NUM
ejpam-4366	72	15	,	,	PUNCT
ejpam-4366	72	16	...	...	PUNCT
ejpam-4366	72	17	,	,	PUNCT
ejpam-4366	72	18	n−	n−	NOUN
ejpam-4366	72	19	1	1	NUM
ejpam-4366	72	20	and	and	CCONJ
ejpam-4366	72	21	n	n	NOUN
ejpam-4366	72	22	=	=	PUNCT
ejpam-4366	73	1	[	[	X
ejpam-4366	73	2	α	α	X
ejpam-4366	73	3	]	]	X
ejpam-4366	73	4	+	+	NOUN
ejpam-4366	73	5	1	1	X
ejpam-4366	73	6	.	.	X
ejpam-4366	73	7	m.j	m.j	PROPN
ejpam-4366	73	8	.	.	PROPN
ejpam-4366	73	9	mardanov	mardanov	PROPN
ejpam-4366	73	10	,	,	PUNCT
ejpam-4366	73	11	h.n	h.n	PROPN
ejpam-4366	73	12	.	.	PROPN
ejpam-4366	73	13	aliyev	aliyev	PROPN
ejpam-4366	73	14	,	,	PUNCT
ejpam-4366	73	15	y.a	y.a	PROPN
ejpam-4366	73	16	.	.	PROPN
ejpam-4366	73	17	sharifov	sharifov	PROPN
ejpam-4366	73	18	/	/	SYM
ejpam-4366	73	19	eur	eur	PROPN
ejpam-4366	73	20	.	.	PUNCT
ejpam-4366	74	1	j.	j.	PROPN
ejpam-4366	74	2	pure	pure	PROPN
ejpam-4366	74	3	appl	appl	PROPN
ejpam-4366	74	4	.	.	PROPN
ejpam-4366	74	5	math	math	PROPN
ejpam-4366	74	6	,	,	PUNCT
ejpam-4366	74	7	15	15	NUM
ejpam-4366	74	8	(	(	PUNCT
ejpam-4366	74	9	2	2	NUM
ejpam-4366	74	10	)	)	PUNCT
ejpam-4366	74	11	(	(	PUNCT
ejpam-4366	74	12	2022	2022	NUM
ejpam-4366	74	13	)	)	PUNCT
ejpam-4366	74	14	,	,	PUNCT
ejpam-4366	74	15	726	726	NUM
ejpam-4366	74	16	-	-	SYM
ejpam-4366	74	17	735	735	NUM
ejpam-4366	74	18	729	729	NUM
ejpam-4366	74	19	lemma	lemma	PROPN
ejpam-4366	74	20	3	3	X
ejpam-4366	74	21	.	.	PUNCT
ejpam-4366	74	22	(	(	PUNCT
ejpam-4366	74	23	see	see	VERB
ejpam-4366	74	24	[	[	X
ejpam-4366	74	25	28	28	NUM
ejpam-4366	74	26	]	]	NUM
ejpam-4366	74	27	)	)	PUNCT
ejpam-4366	74	28	.	.	PUNCT
ejpam-4366	75	1	let	let	VERB
ejpam-4366	75	2	p	p	PRON
ejpam-4366	75	3	,	,	PUNCT
ejpam-4366	75	4	q	q	X
ejpam-4366	75	5	≥	≥	NOUN
ejpam-4366	75	6	0	0	NUM
ejpam-4366	75	7	,	,	PUNCT
ejpam-4366	75	8	f	f	PROPN
ejpam-4366	75	9	∈	∈	PROPN
ejpam-4366	75	10	l1	l1	PROPN
ejpam-4366	75	11	(	(	PUNCT
ejpam-4366	75	12	[	[	X
ejpam-4366	75	13	0	0	NUM
ejpam-4366	75	14	,	,	PUNCT
ejpam-4366	75	15	t	t	NOUN
ejpam-4366	75	16	]	]	PUNCT
ejpam-4366	75	17	)	)	PUNCT
ejpam-4366	75	18	.	.	PUNCT
ejpam-4366	76	1	then	then	ADV
ejpam-4366	76	2	ip0+i	ip0+i	NOUN
ejpam-4366	76	3	q	q	PROPN
ejpam-4366	76	4	0+f	0+f	NUM
ejpam-4366	76	5	(	(	PUNCT
ejpam-4366	76	6	t	t	NOUN
ejpam-4366	76	7	)	)	PUNCT
ejpam-4366	76	8	=	=	PUNCT
ejpam-4366	76	9	ip+q0	ip+q0	PROPN
ejpam-4366	76	10	+	+	X
ejpam-4366	76	11	f	f	X
ejpam-4366	76	12	(	(	PUNCT
ejpam-4366	76	13	t	t	PROPN
ejpam-4366	76	14	)	)	PUNCT
ejpam-4366	76	15	=	=	VERB
ejpam-4366	77	1	iq0+i	iq0+i	VERB
ejpam-4366	77	2	p	p	NOUN
ejpam-4366	77	3	0+f	0+f	NUM
ejpam-4366	77	4	(	(	PUNCT
ejpam-4366	77	5	t	t	NOUN
ejpam-4366	77	6	)	)	PUNCT
ejpam-4366	77	7	is	be	AUX
ejpam-4366	77	8	satisfied	satisfied	ADJ
ejpam-4366	77	9	almost	almost	ADV
ejpam-4366	77	10	everywhere	everywhere	ADV
ejpam-4366	77	11	on	on	ADP
ejpam-4366	77	12	[	[	X
ejpam-4366	77	13	0	0	NUM
ejpam-4366	77	14	,	,	PUNCT
ejpam-4366	77	15	t	t	X
ejpam-4366	77	16	]	]	PUNCT
ejpam-4366	77	17	.	.	PUNCT
ejpam-4366	78	1	moreover	moreover	ADV
ejpam-4366	78	2	,	,	PUNCT
ejpam-4366	78	3	if	if	SCONJ
ejpam-4366	78	4	f	f	PROPN
ejpam-4366	78	5	∈	∈	PROPN
ejpam-4366	78	6	c	c	X
ejpam-4366	78	7	(	(	PUNCT
ejpam-4366	78	8	[	[	X
ejpam-4366	78	9	0	0	NUM
ejpam-4366	78	10	,	,	PUNCT
ejpam-4366	78	11	t	t	X
ejpam-4366	78	12	]	]	PUNCT
ejpam-4366	78	13	)	)	PUNCT
ejpam-4366	78	14	,	,	PUNCT
ejpam-4366	78	15	then	then	ADV
ejpam-4366	78	16	(	(	PUNCT
ejpam-4366	78	17	4	4	X
ejpam-4366	78	18	)	)	PUNCT
ejpam-4366	78	19	is	be	AUX
ejpam-4366	78	20	true	true	ADJ
ejpam-4366	78	21	for	for	ADP
ejpam-4366	78	22	all	all	DET
ejpam-4366	78	23	t	t	NOUN
ejpam-4366	78	24	∈	∈	PROPN
ejpam-4366	79	1	[	[	X
ejpam-4366	79	2	0	0	NUM
ejpam-4366	79	3	,	,	PUNCT
ejpam-4366	79	4	t	t	X
ejpam-4366	79	5	]	]	PUNCT
ejpam-4366	79	6	.	.	PUNCT
ejpam-4366	80	1	lemma	lemma	PROPN
ejpam-4366	80	2	4	4	X
ejpam-4366	80	3	.	.	PUNCT
ejpam-4366	81	1	(	(	PUNCT
ejpam-4366	81	2	see	see	VERB
ejpam-4366	81	3	[	[	X
ejpam-4366	81	4	28	28	NUM
ejpam-4366	81	5	]	]	NUM
ejpam-4366	81	6	)	)	PUNCT
ejpam-4366	81	7	.	.	PUNCT
ejpam-4366	82	1	if	if	SCONJ
ejpam-4366	82	2	α	α	PROPN
ejpam-4366	82	3	>	>	X
ejpam-4366	82	4	0	0	PROPN
ejpam-4366	82	5	,	,	PUNCT
ejpam-4366	82	6	f	f	PROPN
ejpam-4366	82	7	∈	∈	PROPN
ejpam-4366	82	8	c	c	X
ejpam-4366	82	9	(	(	PUNCT
ejpam-4366	82	10	[	[	X
ejpam-4366	82	11	0	0	NUM
ejpam-4366	82	12	,	,	PUNCT
ejpam-4366	82	13	t	t	X
ejpam-4366	82	14	]	]	PUNCT
ejpam-4366	82	15	)	)	PUNCT
ejpam-4366	82	16	,	,	PUNCT
ejpam-4366	82	17	then	then	ADV
ejpam-4366	82	18	cdα	cdα	NOUN
ejpam-4366	82	19	0+i	0+i	NUM
ejpam-4366	83	1	α	α	NOUN
ejpam-4366	83	2	0+f	0+f	NUM
ejpam-4366	83	3	(	(	PUNCT
ejpam-4366	83	4	t	t	NOUN
ejpam-4366	83	5	)	)	PUNCT
ejpam-4366	83	6	=	=	SYM
ejpam-4366	84	1	f	f	PROPN
ejpam-4366	84	2	(	(	PUNCT
ejpam-4366	84	3	t	t	PROPN
ejpam-4366	84	4	)	)	PUNCT
ejpam-4366	84	5	for	for	ADP
ejpam-4366	84	6	all	all	DET
ejpam-4366	84	7	t	t	NOUN
ejpam-4366	84	8	∈	∈	PROPN
ejpam-4366	85	1	[	[	X
ejpam-4366	85	2	0	0	NUM
ejpam-4366	85	3	,	,	PUNCT
ejpam-4366	85	4	t	t	NOUN
ejpam-4366	85	5	]	]	PUNCT
ejpam-4366	85	6	.	.	PUNCT
ejpam-4366	86	1	we	we	PRON
ejpam-4366	86	2	have	have	VERB
ejpam-4366	86	3	the	the	DET
ejpam-4366	86	4	following	following	ADJ
ejpam-4366	86	5	result	result	NOUN
ejpam-4366	86	6	which	which	PRON
ejpam-4366	86	7	is	be	AUX
ejpam-4366	86	8	useful	useful	ADJ
ejpam-4366	86	9	in	in	ADP
ejpam-4366	86	10	what	what	PRON
ejpam-4366	86	11	follows	follow	VERB
ejpam-4366	86	12	.	.	PUNCT
ejpam-4366	87	1	theorem	theorem	NOUN
ejpam-4366	87	2	1	1	NUM
ejpam-4366	87	3	.	.	PUNCT
ejpam-4366	88	1	let	let	VERB
ejpam-4366	88	2	y	y	PROPN
ejpam-4366	88	3	∈	∈	PROPN
ejpam-4366	88	4	c	c	X
ejpam-4366	88	5	(	(	PUNCT
ejpam-4366	88	6	[	[	X
ejpam-4366	88	7	0	0	NUM
ejpam-4366	88	8	,	,	PUNCT
ejpam-4366	88	9	t	t	X
ejpam-4366	88	10	]	]	PUNCT
ejpam-4366	88	11	;	;	PUNCT
ejpam-4366	88	12	rn	rn	PROPN
ejpam-4366	88	13	)	)	PUNCT
ejpam-4366	88	14	.	.	PUNCT
ejpam-4366	89	1	then	then	ADV
ejpam-4366	89	2	the	the	DET
ejpam-4366	89	3	unique	unique	ADJ
ejpam-4366	89	4	solution	solution	NOUN
ejpam-4366	89	5	of	of	ADP
ejpam-4366	89	6	the	the	DET
ejpam-4366	89	7	linear	linear	ADJ
ejpam-4366	89	8	boundary	boundary	ADJ
ejpam-4366	89	9	value	value	NOUN
ejpam-4366	89	10	problem	problem	NOUN
ejpam-4366	89	11	{	{	PUNCT
ejpam-4366	89	12	cdα	cdα	NOUN
ejpam-4366	89	13	0+x	0+x	NUM
ejpam-4366	89	14	(	(	PUNCT
ejpam-4366	89	15	t	t	NOUN
ejpam-4366	89	16	)	)	PUNCT
ejpam-4366	89	17	=	=	SYM
ejpam-4366	89	18	y	y	PROPN
ejpam-4366	89	19	(	(	PUNCT
ejpam-4366	89	20	t	t	PROPN
ejpam-4366	89	21	)	)	PUNCT
ejpam-4366	89	22	,	,	PUNCT
ejpam-4366	89	23	ax	ax	NOUN
ejpam-4366	89	24	(	(	PUNCT
ejpam-4366	89	25	0	0	NUM
ejpam-4366	89	26	)	)	PUNCT
ejpam-4366	90	1	+	+	CCONJ
ejpam-4366	91	1	∫	∫	PROPN
ejpam-4366	91	2	t	t	PROPN
ejpam-4366	91	3	0	0	NUM
ejpam-4366	91	4	n	n	CCONJ
ejpam-4366	91	5	(	(	PUNCT
ejpam-4366	91	6	t)x	t)x	X
ejpam-4366	91	7	(	(	PUNCT
ejpam-4366	91	8	t	t	NOUN
ejpam-4366	91	9	)	)	PUNCT
ejpam-4366	91	10	dt	dt	NOUN
ejpam-4366	92	1	=	=	SYM
ejpam-4366	92	2	c	c	X
ejpam-4366	92	3	(	(	PUNCT
ejpam-4366	92	4	3	3	NUM
ejpam-4366	92	5	)	)	PUNCT
ejpam-4366	92	6	is	be	AUX
ejpam-4366	92	7	given	give	VERB
ejpam-4366	92	8	by	by	ADP
ejpam-4366	92	9	x	x	PROPN
ejpam-4366	92	10	(	(	PUNCT
ejpam-4366	92	11	t	t	NOUN
ejpam-4366	92	12	)	)	PUNCT
ejpam-4366	92	13	=	=	PUNCT
ejpam-4366	92	14	n−1c	n−1c	NOUN
ejpam-4366	93	1	+	+	NOUN
ejpam-4366	93	2	1	1	NUM
ejpam-4366	93	3	γ	γ	X
ejpam-4366	93	4	(	(	PUNCT
ejpam-4366	93	5	α	α	NOUN
ejpam-4366	93	6	)	)	PUNCT
ejpam-4366	93	7	∫	∫	PROPN
ejpam-4366	93	8	t	t	PROPN
ejpam-4366	93	9	0	0	NUM
ejpam-4366	93	10	(	(	PUNCT
ejpam-4366	93	11	t−	t−	PROPN
ejpam-4366	93	12	s)α−1	s)α−1	PROPN
ejpam-4366	93	13	y	y	PROPN
ejpam-4366	93	14	(	(	PUNCT
ejpam-4366	93	15	s	s	NOUN
ejpam-4366	93	16	)	)	PUNCT
ejpam-4366	93	17	ds−	ds−	PROPN
ejpam-4366	93	18	−n−1	−n−1	NUM
ejpam-4366	93	19	γ	γ	X
ejpam-4366	93	20	(	(	PUNCT
ejpam-4366	93	21	α	α	NOUN
ejpam-4366	93	22	)	)	PUNCT
ejpam-4366	93	23	∫	∫	PROPN
ejpam-4366	93	24	t	t	PROPN
ejpam-4366	93	25	0	0	NUM
ejpam-4366	94	1	n	n	CCONJ
ejpam-4366	94	2	(	(	PUNCT
ejpam-4366	94	3	t	t	PROPN
ejpam-4366	94	4	)	)	PUNCT
ejpam-4366	94	5	∫	∫	PROPN
ejpam-4366	94	6	t	t	PROPN
ejpam-4366	94	7	0	0	NUM
ejpam-4366	94	8	(	(	PUNCT
ejpam-4366	94	9	t−	t−	PROPN
ejpam-4366	94	10	s)α−1	s)α−1	PROPN
ejpam-4366	94	11	y	y	PROPN
ejpam-4366	94	12	(	(	PUNCT
ejpam-4366	94	13	s	s	NOUN
ejpam-4366	94	14	)	)	PUNCT
ejpam-4366	94	15	dsdt	dsdt	NOUN
ejpam-4366	94	16	.	.	PUNCT
ejpam-4366	95	1	(	(	PUNCT
ejpam-4366	95	2	4	4	X
ejpam-4366	95	3	)	)	PUNCT
ejpam-4366	95	4	proof	proof	NOUN
ejpam-4366	95	5	.	.	PUNCT
ejpam-4366	96	1	assume	assume	VERB
ejpam-4366	96	2	that	that	SCONJ
ejpam-4366	96	3	x	x	PRON
ejpam-4366	96	4	is	be	AUX
ejpam-4366	96	5	a	a	DET
ejpam-4366	96	6	solution	solution	NOUN
ejpam-4366	96	7	of	of	ADP
ejpam-4366	96	8	the	the	DET
ejpam-4366	96	9	boundary	boundary	ADJ
ejpam-4366	96	10	value	value	NOUN
ejpam-4366	96	11	problem	problem	NOUN
ejpam-4366	96	12	(	(	PUNCT
ejpam-4366	96	13	3	3	NUM
ejpam-4366	96	14	)	)	PUNCT
ejpam-4366	96	15	;	;	PUNCT
ejpam-4366	96	16	then	then	ADV
ejpam-4366	96	17	we	we	PRON
ejpam-4366	96	18	have	have	VERB
ejpam-4366	96	19	x	x	X
ejpam-4366	96	20	(	(	PUNCT
ejpam-4366	96	21	t	t	NOUN
ejpam-4366	96	22	)	)	PUNCT
ejpam-4366	96	23	=	=	SYM
ejpam-4366	97	1	x	x	SYM
ejpam-4366	97	2	(	(	PUNCT
ejpam-4366	97	3	0	0	NUM
ejpam-4366	97	4	)	)	PUNCT
ejpam-4366	97	5	+	+	CCONJ
ejpam-4366	97	6	1	1	NUM
ejpam-4366	97	7	γ	γ	X
ejpam-4366	97	8	(	(	PUNCT
ejpam-4366	97	9	α	α	NOUN
ejpam-4366	97	10	)	)	PUNCT
ejpam-4366	97	11	∫	∫	PROPN
ejpam-4366	97	12	t	t	PROPN
ejpam-4366	97	13	0	0	NUM
ejpam-4366	97	14	(	(	PUNCT
ejpam-4366	97	15	t−	t−	PROPN
ejpam-4366	97	16	s)α−1	s)α−1	PROPN
ejpam-4366	97	17	y	y	PROPN
ejpam-4366	97	18	(	(	PUNCT
ejpam-4366	97	19	s	s	NOUN
ejpam-4366	97	20	)	)	PUNCT
ejpam-4366	97	21	ds	ds	PROPN
ejpam-4366	97	22	,	,	PUNCT
ejpam-4366	97	23	t	t	PROPN
ejpam-4366	97	24	∈	∈	PROPN
ejpam-4366	98	1	[	[	X
ejpam-4366	98	2	0	0	NUM
ejpam-4366	98	3	,	,	PUNCT
ejpam-4366	98	4	t	t	X
ejpam-4366	98	5	]	]	PUNCT
ejpam-4366	98	6	,	,	PUNCT
ejpam-4366	98	7	where	where	SCONJ
ejpam-4366	98	8	x	x	X
ejpam-4366	98	9	(	(	PUNCT
ejpam-4366	98	10	0	0	NUM
ejpam-4366	98	11	)	)	PUNCT
ejpam-4366	98	12	is	be	AUX
ejpam-4366	98	13	still	still	ADV
ejpam-4366	98	14	an	an	DET
ejpam-4366	98	15	arbitrary	arbitrary	ADJ
ejpam-4366	98	16	constant	constant	ADJ
ejpam-4366	98	17	vector	vector	NOUN
ejpam-4366	98	18	.	.	PUNCT
ejpam-4366	99	1	for	for	ADP
ejpam-4366	99	2	determining	determine	VERB
ejpam-4366	99	3	x	x	SYM
ejpam-4366	99	4	(	(	PUNCT
ejpam-4366	99	5	0	0	NUM
ejpam-4366	99	6	)	)	PUNCT
ejpam-4366	99	7	we	we	PRON
ejpam-4366	99	8	use	use	VERB
ejpam-4366	99	9	the	the	DET
ejpam-4366	99	10	boundary	boundary	ADJ
ejpam-4366	99	11	value	value	NOUN
ejpam-4366	99	12	condition	condition	NOUN
ejpam-4366	99	13	ax	ax	NOUN
ejpam-4366	99	14	(	(	PUNCT
ejpam-4366	99	15	0)+	0)+	NOUN
ejpam-4366	99	16	t∫	t∫	ADJ
ejpam-4366	99	17	0	0	NUM
ejpam-4366	99	18	n	n	PROPN
ejpam-4366	99	19	(	(	PUNCT
ejpam-4366	99	20	t)x	t)x	X
ejpam-4366	99	21	(	(	PUNCT
ejpam-4366	99	22	t	t	NOUN
ejpam-4366	99	23	)	)	PUNCT
ejpam-4366	99	24	dt	dt	NOUN
ejpam-4366	100	1	=	=	PUNCT
ejpam-4366	100	2	c	c	NOUN
ejpam-4366	100	3	:	:	PUNCT
ejpam-4366	100	4	c	c	NOUN
ejpam-4366	100	5	=	=	PUNCT
ejpam-4366	100	6	ax	ax	NOUN
ejpam-4366	100	7	(	(	PUNCT
ejpam-4366	100	8	0	0	NUM
ejpam-4366	100	9	)	)	PUNCT
ejpam-4366	101	1	+	+	CCONJ
ejpam-4366	102	1	∫	∫	PROPN
ejpam-4366	102	2	t	t	PROPN
ejpam-4366	102	3	0	0	NUM
ejpam-4366	102	4	n	n	CCONJ
ejpam-4366	102	5	(	(	PUNCT
ejpam-4366	102	6	t)x	t)x	X
ejpam-4366	102	7	(	(	PUNCT
ejpam-4366	102	8	t	t	NOUN
ejpam-4366	102	9	)	)	PUNCT
ejpam-4366	102	10	dt	dt	NOUN
ejpam-4366	102	11	=	=	PUNCT
ejpam-4366	103	1	(	(	PUNCT
ejpam-4366	103	2	a+	a+	PUNCT
ejpam-4366	103	3	∫	∫	PROPN
ejpam-4366	103	4	t	t	PROPN
ejpam-4366	103	5	0	0	NUM
ejpam-4366	103	6	n	n	CCONJ
ejpam-4366	103	7	(	(	PUNCT
ejpam-4366	103	8	t	t	NOUN
ejpam-4366	103	9	)	)	PUNCT
ejpam-4366	103	10	dt	dt	NOUN
ejpam-4366	103	11	)	)	PUNCT
ejpam-4366	104	1	x	x	X
ejpam-4366	104	2	(	(	PUNCT
ejpam-4366	104	3	0)+	0)+	NOUN
ejpam-4366	104	4	+	+	CCONJ
ejpam-4366	104	5	1	1	NUM
ejpam-4366	104	6	γ(α	γ(α	NOUN
ejpam-4366	104	7	)	)	PUNCT
ejpam-4366	105	1	∫	∫	PROPN
ejpam-4366	105	2	t	t	PROPN
ejpam-4366	105	3	0	0	NUM
ejpam-4366	105	4	n	n	CCONJ
ejpam-4366	105	5	(	(	PUNCT
ejpam-4366	105	6	t	t	PROPN
ejpam-4366	105	7	)	)	PUNCT
ejpam-4366	105	8	∫	∫	PROPN
ejpam-4366	105	9	t	t	PROPN
ejpam-4366	105	10	0	0	NUM
ejpam-4366	105	11	(	(	PUNCT
ejpam-4366	105	12	t−	t−	PROPN
ejpam-4366	105	13	s)α−1	s)α−1	PROPN
ejpam-4366	105	14	y	y	PROPN
ejpam-4366	105	15	(	(	PUNCT
ejpam-4366	105	16	s	s	NOUN
ejpam-4366	105	17	)	)	PUNCT
ejpam-4366	105	18	dsdt	dsdt	NOUN
ejpam-4366	105	19	.	.	PUNCT
ejpam-4366	106	1	from	from	ADP
ejpam-4366	106	2	here	here	ADV
ejpam-4366	106	3	we	we	PRON
ejpam-4366	106	4	get	get	VERB
ejpam-4366	106	5	x	x	X
ejpam-4366	106	6	(	(	PUNCT
ejpam-4366	106	7	0	0	NUM
ejpam-4366	106	8	)	)	PUNCT
ejpam-4366	106	9	=	=	NOUN
ejpam-4366	106	10	n−1c	n−1c	VERB
ejpam-4366	107	1	−	−	PROPN
ejpam-4366	107	2	n−1	n−1	PROPN
ejpam-4366	107	3	γ	γ	X
ejpam-4366	107	4	(	(	PUNCT
ejpam-4366	107	5	α	α	NOUN
ejpam-4366	107	6	)	)	PUNCT
ejpam-4366	107	7	∫	∫	PROPN
ejpam-4366	107	8	t	t	PROPN
ejpam-4366	107	9	0	0	NUM
ejpam-4366	108	1	n	n	CCONJ
ejpam-4366	108	2	(	(	PUNCT
ejpam-4366	108	3	t	t	PROPN
ejpam-4366	108	4	)	)	PUNCT
ejpam-4366	108	5	∫	∫	PROPN
ejpam-4366	108	6	t	t	PROPN
ejpam-4366	108	7	0	0	NUM
ejpam-4366	108	8	(	(	PUNCT
ejpam-4366	108	9	t−	t−	PROPN
ejpam-4366	108	10	s)α−1	s)α−1	PROPN
ejpam-4366	108	11	y	y	PROPN
ejpam-4366	108	12	(	(	PUNCT
ejpam-4366	108	13	s	s	NOUN
ejpam-4366	108	14	)	)	PUNCT
ejpam-4366	108	15	dsdt	dsdt	NOUN
ejpam-4366	108	16	and	and	CCONJ
ejpam-4366	108	17	consequently	consequently	ADV
ejpam-4366	108	18	for	for	ADP
ejpam-4366	108	19	all	all	DET
ejpam-4366	108	20	t	t	NOUN
ejpam-4366	108	21	∈	∈	PROPN
ejpam-4366	109	1	[	[	X
ejpam-4366	109	2	0	0	NUM
ejpam-4366	109	3	,	,	PUNCT
ejpam-4366	109	4	t	t	X
ejpam-4366	109	5	]	]	PUNCT
ejpam-4366	109	6	(	(	PUNCT
ejpam-4366	109	7	4	4	X
ejpam-4366	109	8	)	)	PUNCT
ejpam-4366	109	9	is	be	AUX
ejpam-4366	109	10	true	true	ADJ
ejpam-4366	109	11	.	.	PUNCT
ejpam-4366	110	1	lemma	lemma	PROPN
ejpam-4366	110	2	6	6	NUM
ejpam-4366	110	3	(	(	PUNCT
ejpam-4366	110	4	krasnoselskii	krasnoselskii	PROPN
ejpam-4366	110	5	’s	’s	PART
ejpam-4366	110	6	fixed	fix	VERB
ejpam-4366	110	7	point	point	NOUN
ejpam-4366	110	8	theorem	theorem	VERB
ejpam-4366	110	9	,	,	PUNCT
ejpam-4366	110	10	[	[	X
ejpam-4366	110	11	20	20	NUM
ejpam-4366	110	12	]	]	PUNCT
ejpam-4366	110	13	)	)	PUNCT
ejpam-4366	110	14	let	let	VERB
ejpam-4366	110	15	m	m	PRON
ejpam-4366	110	16	be	be	AUX
ejpam-4366	110	17	a	a	DET
ejpam-4366	110	18	closed	closed	ADJ
ejpam-4366	110	19	,	,	PUNCT
ejpam-4366	110	20	bounded	bound	VERB
ejpam-4366	110	21	,	,	PUNCT
ejpam-4366	110	22	convex	convex	ADJ
ejpam-4366	110	23	and	and	CCONJ
ejpam-4366	110	24	nonempty	nonempty	NOUN
ejpam-4366	110	25	subset	subset	NOUN
ejpam-4366	110	26	of	of	ADP
ejpam-4366	110	27	a	a	DET
ejpam-4366	110	28	banach	banach	NOUN
ejpam-4366	110	29	space	space	NOUN
ejpam-4366	110	30	x.let	x.let	PROPN
ejpam-4366	110	31	a	a	PRON
ejpam-4366	110	32	,	,	PUNCT
ejpam-4366	110	33	b	b	PROPN
ejpam-4366	110	34	be	be	AUX
ejpam-4366	110	35	the	the	DET
ejpam-4366	110	36	operators	operator	NOUN
ejpam-4366	110	37	such	such	ADJ
ejpam-4366	110	38	that	that	SCONJ
ejpam-4366	110	39	(	(	PUNCT
ejpam-4366	110	40	a	a	X
ejpam-4366	110	41	)	)	PUNCT
ejpam-4366	110	42	ax+by	ax+by	PROPN
ejpam-4366	110	43	∈mx	∈mx	PROPN
ejpam-4366	110	44	whenever	whenever	SCONJ
ejpam-4366	110	45	x	x	X
ejpam-4366	110	46	,	,	PUNCT
ejpam-4366	110	47	y	y	PROPN
ejpam-4366	110	48	∈m	∈m	NOUN
ejpam-4366	110	49	;	;	PUNCT
ejpam-4366	110	50	(	(	PUNCT
ejpam-4366	110	51	b	b	X
ejpam-4366	110	52	)	)	PUNCT
ejpam-4366	110	53	ais	ais	NOUN
ejpam-4366	110	54	compact	compact	ADJ
ejpam-4366	110	55	and	and	CCONJ
ejpam-4366	110	56	continuous	continuous	ADJ
ejpam-4366	110	57	;	;	PUNCT
ejpam-4366	110	58	(	(	PUNCT
ejpam-4366	110	59	c)b	c)b	NOUN
ejpam-4366	110	60	is	be	AUX
ejpam-4366	110	61	a	a	DET
ejpam-4366	110	62	contraction	contraction	NOUN
ejpam-4366	110	63	mapping	mapping	NOUN
ejpam-4366	110	64	.	.	PUNCT
ejpam-4366	111	1	then	then	ADV
ejpam-4366	111	2	there	there	PRON
ejpam-4366	111	3	exists	exist	VERB
ejpam-4366	111	4	z	z	NOUN
ejpam-4366	111	5	∈m	∈m	NOUN
ejpam-4366	111	6	such	such	ADJ
ejpam-4366	111	7	that	that	PRON
ejpam-4366	111	8	z	z	NOUN
ejpam-4366	111	9	=	=	PUNCT
ejpam-4366	111	10	az	az	PROPN
ejpam-4366	111	11	+	+	PROPN
ejpam-4366	111	12	bz	bz	PROPN
ejpam-4366	111	13	.	.	PUNCT
ejpam-4366	111	14	m.j	m.j	PROPN
ejpam-4366	111	15	.	.	PROPN
ejpam-4366	111	16	mardanov	mardanov	PROPN
ejpam-4366	111	17	,	,	PUNCT
ejpam-4366	111	18	h.n	h.n	PROPN
ejpam-4366	111	19	.	.	PROPN
ejpam-4366	111	20	aliyev	aliyev	PROPN
ejpam-4366	111	21	,	,	PUNCT
ejpam-4366	111	22	y.a	y.a	PROPN
ejpam-4366	111	23	.	.	PROPN
ejpam-4366	111	24	sharifov	sharifov	PROPN
ejpam-4366	111	25	/	/	SYM
ejpam-4366	111	26	eur	eur	PROPN
ejpam-4366	111	27	.	.	PUNCT
ejpam-4366	112	1	j.	j.	PROPN
ejpam-4366	112	2	pure	pure	PROPN
ejpam-4366	112	3	appl	appl	PROPN
ejpam-4366	112	4	.	.	PROPN
ejpam-4366	112	5	math	math	PROPN
ejpam-4366	112	6	,	,	PUNCT
ejpam-4366	112	7	15	15	NUM
ejpam-4366	112	8	(	(	PUNCT
ejpam-4366	112	9	2	2	NUM
ejpam-4366	112	10	)	)	PUNCT
ejpam-4366	112	11	(	(	PUNCT
ejpam-4366	112	12	2022	2022	NUM
ejpam-4366	112	13	)	)	PUNCT
ejpam-4366	112	14	,	,	PUNCT
ejpam-4366	112	15	726	726	NUM
ejpam-4366	112	16	-	-	SYM
ejpam-4366	112	17	735	735	NUM
ejpam-4366	112	18	730	730	NUM
ejpam-4366	112	19	3	3	NUM
ejpam-4366	112	20	.	.	PUNCT
ejpam-4366	112	21	main	main	ADJ
ejpam-4366	112	22	results	result	NOUN
ejpam-4366	112	23	in	in	ADP
ejpam-4366	112	24	this	this	DET
ejpam-4366	112	25	section	section	NOUN
ejpam-4366	112	26	,	,	PUNCT
ejpam-4366	112	27	the	the	DET
ejpam-4366	112	28	theorems	theorem	NOUN
ejpam-4366	112	29	of	of	ADP
ejpam-4366	112	30	uniqueness	uniqueness	NOUN
ejpam-4366	112	31	and	and	CCONJ
ejpam-4366	112	32	existence	existence	NOUN
ejpam-4366	112	33	of	of	ADP
ejpam-4366	112	34	a	a	DET
ejpam-4366	112	35	solution	solution	NOUN
ejpam-4366	112	36	for	for	ADP
ejpam-4366	112	37	problem	problem	NOUN
ejpam-4366	112	38	(	(	PUNCT
ejpam-4366	112	39	1	1	NUM
ejpam-4366	112	40	)	)	PUNCT
ejpam-4366	112	41	,	,	PUNCT
ejpam-4366	112	42	(	(	PUNCT
ejpam-4366	112	43	2	2	X
ejpam-4366	112	44	)	)	PUNCT
ejpam-4366	112	45	will	will	AUX
ejpam-4366	112	46	be	be	AUX
ejpam-4366	112	47	given	give	VERB
ejpam-4366	112	48	.	.	PUNCT
ejpam-4366	113	1	for	for	ADP
ejpam-4366	113	2	the	the	DET
ejpam-4366	113	3	forthcoming	forthcoming	ADJ
ejpam-4366	113	4	analysis	analysis	NOUN
ejpam-4366	113	5	we	we	PRON
ejpam-4366	113	6	impose	impose	VERB
ejpam-4366	113	7	suitable	suitable	ADJ
ejpam-4366	113	8	conditions	condition	NOUN
ejpam-4366	113	9	on	on	ADP
ejpam-4366	113	10	the	the	DET
ejpam-4366	113	11	functions	function	NOUN
ejpam-4366	113	12	involved	involve	VERB
ejpam-4366	113	13	in	in	ADP
ejpam-4366	113	14	the	the	DET
ejpam-4366	113	15	boundary	boundary	ADJ
ejpam-4366	113	16	value	value	NOUN
ejpam-4366	113	17	problem	problem	NOUN
ejpam-4366	113	18	(	(	PUNCT
ejpam-4366	113	19	1	1	NUM
ejpam-4366	113	20	)	)	PUNCT
ejpam-4366	113	21	,	,	PUNCT
ejpam-4366	113	22	(	(	PUNCT
ejpam-4366	113	23	2	2	NUM
ejpam-4366	113	24	)	)	PUNCT
ejpam-4366	113	25	.	.	PUNCT
ejpam-4366	114	1	we	we	PRON
ejpam-4366	114	2	assume	assume	VERB
ejpam-4366	114	3	the	the	DET
ejpam-4366	114	4	following	follow	VERB
ejpam-4366	114	5	conditions	condition	NOUN
ejpam-4366	114	6	are	be	AUX
ejpam-4366	114	7	met	meet	VERB
ejpam-4366	114	8	:	:	PUNCT
ejpam-4366	114	9	(	(	PUNCT
ejpam-4366	114	10	h1	h1	PROPN
ejpam-4366	114	11	)	)	PUNCT
ejpam-4366	114	12	the	the	DET
ejpam-4366	114	13	function	function	NOUN
ejpam-4366	115	1	f	f	NOUN
ejpam-4366	115	2	:	:	PUNCT
ejpam-4366	116	1	[	[	X
ejpam-4366	116	2	0	0	NUM
ejpam-4366	116	3	,	,	PUNCT
ejpam-4366	116	4	t	t	X
ejpam-4366	116	5	]	]	PUNCT
ejpam-4366	116	6	×	×	PROPN
ejpam-4366	116	7	rn	rn	PROPN
ejpam-4366	116	8	→	→	PROPN
ejpam-4366	116	9	rn	rn	PROPN
ejpam-4366	116	10	is	be	AUX
ejpam-4366	116	11	continuous	continuous	ADJ
ejpam-4366	116	12	and	and	CCONJ
ejpam-4366	116	13	satisfies	satisfy	VERB
ejpam-4366	116	14	the	the	DET
ejpam-4366	116	15	following	follow	VERB
ejpam-4366	116	16	lipschitz	lipschitz	NOUN
ejpam-4366	116	17	condition	condition	NOUN
ejpam-4366	116	18	|f	|f	PROPN
ejpam-4366	116	19	(	(	PUNCT
ejpam-4366	116	20	t	t	PROPN
ejpam-4366	116	21	,	,	PUNCT
ejpam-4366	116	22	x1	x1	PROPN
ejpam-4366	116	23	,	,	PUNCT
ejpam-4366	116	24	x2	x2	PROPN
ejpam-4366	116	25	,	,	PUNCT
ejpam-4366	117	1	x3)−	x3)−	PROPN
ejpam-4366	117	2	f	f	X
ejpam-4366	117	3	(	(	PUNCT
ejpam-4366	117	4	t	t	PROPN
ejpam-4366	117	5	,	,	PUNCT
ejpam-4366	117	6	y1	y1	PROPN
ejpam-4366	117	7	,	,	PUNCT
ejpam-4366	117	8	y2	y2	PROPN
ejpam-4366	117	9	,	,	PUNCT
ejpam-4366	117	10	y.3)|	y.3)|	NOUN
ejpam-4366	117	11	≤	≤	ADJ
ejpam-4366	117	12	l	l	NOUN
ejpam-4366	117	13	(	(	PUNCT
ejpam-4366	117	14	|x1	|x1	NUM
ejpam-4366	117	15	−	−	PROPN
ejpam-4366	118	1	y1|+	y1|+	PROPN
ejpam-4366	118	2	|x2	|x2	NOUN
ejpam-4366	118	3	−	−	PROPN
ejpam-4366	118	4	y2|+	y2|+	PROPN
ejpam-4366	118	5	|x3	|x3	PROPN
ejpam-4366	118	6	−	−	PROPN
ejpam-4366	118	7	y3|	y3|	PROPN
ejpam-4366	118	8	)	)	PUNCT
ejpam-4366	118	9	,	,	PUNCT
ejpam-4366	118	10	xi	xi	PROPN
ejpam-4366	118	11	,	,	PUNCT
ejpam-4366	118	12	yi	yi	PROPN
ejpam-4366	118	13	∈	∈	PROPN
ejpam-4366	118	14	rn	rn	PROPN
ejpam-4366	118	15	,	,	PUNCT
ejpam-4366	118	16	i	i	NOUN
ejpam-4366	118	17	=	=	NOUN
ejpam-4366	118	18	1	1	NUM
ejpam-4366	118	19	,	,	PUNCT
ejpam-4366	118	20	2	2	NUM
ejpam-4366	118	21	,	,	PUNCT
ejpam-4366	118	22	3	3	NUM
ejpam-4366	118	23	,	,	PUNCT
ejpam-4366	118	24	t	t	PROPN
ejpam-4366	118	25	∈	∈	PROPN
ejpam-4366	119	1	[	[	X
ejpam-4366	119	2	0	0	NUM
ejpam-4366	119	3	,	,	PUNCT
ejpam-4366	119	4	t	t	X
ejpam-4366	119	5	]	]	PUNCT
ejpam-4366	119	6	,	,	PUNCT
ejpam-4366	119	7	l	l	X
ejpam-4366	119	8	>	>	X
ejpam-4366	119	9	0	0	X
ejpam-4366	119	10	.	.	PUNCT
ejpam-4366	119	11	(	(	PUNCT
ejpam-4366	119	12	h2	h2	NOUN
ejpam-4366	119	13	)	)	PUNCT
ejpam-4366	119	14	∥f	∥f	PROPN
ejpam-4366	119	15	(	(	PUNCT
ejpam-4366	119	16	t	t	PROPN
ejpam-4366	119	17	,	,	PUNCT
ejpam-4366	119	18	x	x	X
ejpam-4366	119	19	,	,	PUNCT
ejpam-4366	119	20	φx	φx	ADJ
ejpam-4366	119	21	,	,	PUNCT
ejpam-4366	119	22	ψx)∥	ψx)∥	VERB
ejpam-4366	119	23	≤	≤	NUM
ejpam-4366	119	24	g	g	NOUN
ejpam-4366	119	25	,	,	PUNCT
ejpam-4366	119	26	for	for	ADP
ejpam-4366	119	27	all	all	DET
ejpam-4366	119	28	x	x	PROPN
ejpam-4366	119	29	∈	∈	PROPN
ejpam-4366	119	30	rn	rn	PROPN
ejpam-4366	119	31	,	,	PUNCT
ejpam-4366	119	32	t	t	PROPN
ejpam-4366	119	33	∈	∈	PROPN
ejpam-4366	120	1	[	[	X
ejpam-4366	120	2	0	0	NUM
ejpam-4366	120	3	,	,	PUNCT
ejpam-4366	120	4	t	t	X
ejpam-4366	120	5	]	]	PUNCT
ejpam-4366	120	6	,	,	PUNCT
ejpam-4366	120	7	g	g	PROPN
ejpam-4366	120	8	≥	≥	NOUN
ejpam-4366	120	9	0	0	NUM
ejpam-4366	120	10	.	.	PUNCT
ejpam-4366	120	11	theorem	theorem	NOUN
ejpam-4366	120	12	2	2	NUM
ejpam-4366	120	13	.	.	X
ejpam-4366	120	14	assume	assume	VERB
ejpam-4366	120	15	that	that	SCONJ
ejpam-4366	120	16	f	f	X
ejpam-4366	120	17	:	:	PUNCT
ejpam-4366	121	1	[	[	X
ejpam-4366	121	2	0	0	NUM
ejpam-4366	121	3	,	,	PUNCT
ejpam-4366	121	4	t	t	X
ejpam-4366	121	5	]	]	PUNCT
ejpam-4366	121	6	×	×	PROPN
ejpam-4366	121	7	rn	rn	PROPN
ejpam-4366	121	8	→	→	PROPN
ejpam-4366	121	9	rn	rn	PROPN
ejpam-4366	121	10	is	be	AUX
ejpam-4366	121	11	jointly	jointly	ADV
ejpam-4366	121	12	continuous	continuous	ADJ
ejpam-4366	121	13	and	and	CCONJ
ejpam-4366	121	14	satisfies	satisfie	NOUN
ejpam-4366	121	15	(	(	PUNCT
ejpam-4366	121	16	h1	h1	PROPN
ejpam-4366	121	17	)	)	PUNCT
ejpam-4366	121	18	and	and	CCONJ
ejpam-4366	121	19	(	(	PUNCT
ejpam-4366	121	20	h2	h2	NOUN
ejpam-4366	121	21	)	)	PUNCT
ejpam-4366	121	22	.	.	PUNCT
ejpam-4366	122	1	if	if	SCONJ
ejpam-4366	122	2	l	l	PROPN
ejpam-4366	122	3	∥∥n−1	∥∥n−1	ADV
ejpam-4366	122	4	∥∥	∥∥	PRON
ejpam-4366	122	5	∥n∥tα+1	∥n∥tα+1	NUM
ejpam-4366	122	6	γ	γ	X
ejpam-4366	122	7	(	(	PUNCT
ejpam-4366	122	8	α+	α+	PROPN
ejpam-4366	122	9	2	2	NUM
ejpam-4366	122	10	)	)	PUNCT
ejpam-4366	122	11	(	(	PUNCT
ejpam-4366	122	12	1	1	NUM
ejpam-4366	122	13	+	+	NUM
ejpam-4366	122	14	t	t	PROPN
ejpam-4366	122	15	(	(	PUNCT
ejpam-4366	122	16	φ0	φ0	PROPN
ejpam-4366	122	17	+	+	CCONJ
ejpam-4366	122	18	ψ0	ψ0	PROPN
ejpam-4366	122	19	)	)	PUNCT
ejpam-4366	122	20	)	)	PUNCT
ejpam-4366	122	21	<	<	X
ejpam-4366	122	22	1	1	NUM
ejpam-4366	122	23	,	,	PUNCT
ejpam-4366	122	24	(	(	PUNCT
ejpam-4366	122	25	5	5	NUM
ejpam-4366	122	26	)	)	PUNCT
ejpam-4366	122	27	then	then	ADV
ejpam-4366	122	28	the	the	DET
ejpam-4366	122	29	fractional	fractional	ADJ
ejpam-4366	122	30	integro	integro	ADJ
ejpam-4366	122	31	-	-	PUNCT
ejpam-4366	122	32	differential	differential	NOUN
ejpam-4366	122	33	problem	problem	NOUN
ejpam-4366	122	34	(	(	PUNCT
ejpam-4366	122	35	1	1	NUM
ejpam-4366	122	36	)	)	PUNCT
ejpam-4366	122	37	,	,	PUNCT
ejpam-4366	122	38	(	(	PUNCT
ejpam-4366	122	39	2	2	X
ejpam-4366	122	40	)	)	PUNCT
ejpam-4366	122	41	has	have	AUX
ejpam-4366	122	42	at	at	ADV
ejpam-4366	122	43	least	least	ADJ
ejpam-4366	122	44	one	one	NUM
ejpam-4366	122	45	solution	solution	NOUN
ejpam-4366	122	46	.	.	PUNCT
ejpam-4366	123	1	proof	proof	NOUN
ejpam-4366	123	2	.	.	PUNCT
ejpam-4366	124	1	consider	consider	VERB
ejpam-4366	124	2	br	br	NOUN
ejpam-4366	124	3	=	=	PUNCT
ejpam-4366	124	4	{	{	PUNCT
ejpam-4366	124	5	x	x	PUNCT
ejpam-4366	124	6	∈	∈	PROPN
ejpam-4366	124	7	c	c	X
ejpam-4366	124	8	(	(	PUNCT
ejpam-4366	124	9	[	[	X
ejpam-4366	124	10	0	0	NUM
ejpam-4366	124	11	,	,	PUNCT
ejpam-4366	124	12	t	t	X
ejpam-4366	124	13	]	]	PUNCT
ejpam-4366	124	14	;	;	PUNCT
ejpam-4366	124	15	rn	rn	PROPN
ejpam-4366	124	16	)	)	PUNCT
ejpam-4366	124	17	:	:	PUNCT
ejpam-4366	124	18	∥x∥	∥x∥	NOUN
ejpam-4366	124	19	≤	≤	ADJ
ejpam-4366	124	20	r	r	NOUN
ejpam-4366	124	21	}	}	PUNCT
ejpam-4366	124	22	,	,	PUNCT
ejpam-4366	124	23	where	where	SCONJ
ejpam-4366	124	24	r	r	NOUN
ejpam-4366	124	25	≥	≥	NOUN
ejpam-4366	124	26	gtα	gtα	NOUN
ejpam-4366	124	27	γ	γ	X
ejpam-4366	124	28	(	(	PUNCT
ejpam-4366	124	29	α+	α+	PROPN
ejpam-4366	124	30	1	1	NUM
ejpam-4366	124	31	)	)	PUNCT
ejpam-4366	124	32	+	+	NUM
ejpam-4366	124	33	∥∥n−1c	∥∥n−1c	NOUN
ejpam-4366	124	34	∥∥+	∥∥+	NOUN
ejpam-4366	124	35	g	g	PROPN
ejpam-4366	124	36	∥n∥	∥n∥	NOUN
ejpam-4366	124	37	∥∥n−1	∥∥n−1	PROPN
ejpam-4366	124	38	∥∥tα+1	∥∥tα+1	PROPN
ejpam-4366	124	39	γ	γ	X
ejpam-4366	124	40	(	(	PUNCT
ejpam-4366	124	41	α+	α+	NOUN
ejpam-4366	124	42	2	2	NUM
ejpam-4366	124	43	)	)	PUNCT
ejpam-4366	124	44	.	.	PUNCT
ejpam-4366	125	1	define	define	VERB
ejpam-4366	125	2	two	two	NUM
ejpam-4366	125	3	mappings	mapping	NOUN
ejpam-4366	125	4	a1	a1	NOUN
ejpam-4366	125	5	and	and	CCONJ
ejpam-4366	125	6	a2	a2	PROPN
ejpam-4366	125	7	on	on	ADP
ejpam-4366	125	8	br	br	NOUN
ejpam-4366	125	9	by	by	ADP
ejpam-4366	125	10	(	(	PUNCT
ejpam-4366	125	11	a1x	a1x	NOUN
ejpam-4366	125	12	)	)	PUNCT
ejpam-4366	125	13	(	(	PUNCT
ejpam-4366	125	14	t	t	NOUN
ejpam-4366	125	15	)	)	PUNCT
ejpam-4366	125	16	=	=	SYM
ejpam-4366	125	17	1	1	NUM
ejpam-4366	125	18	γ	γ	X
ejpam-4366	125	19	(	(	PUNCT
ejpam-4366	125	20	α	α	NOUN
ejpam-4366	125	21	)	)	PUNCT
ejpam-4366	125	22	∫	∫	PROPN
ejpam-4366	125	23	t	t	PROPN
ejpam-4366	125	24	0	0	NUM
ejpam-4366	125	25	(	(	PUNCT
ejpam-4366	125	26	t−	t−	PROPN
ejpam-4366	125	27	s)α−1	s)α−1	X
ejpam-4366	125	28	f	f	PROPN
ejpam-4366	125	29	(	(	PUNCT
ejpam-4366	125	30	s	s	X
ejpam-4366	125	31	,	,	PUNCT
ejpam-4366	125	32	x	x	X
ejpam-4366	125	33	(	(	PUNCT
ejpam-4366	125	34	s	s	NOUN
ejpam-4366	125	35	)	)	PUNCT
ejpam-4366	125	36	,	,	PUNCT
ejpam-4366	125	37	φx	φx	PROPN
ejpam-4366	125	38	(	(	PUNCT
ejpam-4366	125	39	s	s	NOUN
ejpam-4366	125	40	)	)	PUNCT
ejpam-4366	125	41	,	,	PUNCT
ejpam-4366	125	42	ψx	ψx	X
ejpam-4366	125	43	(	(	PUNCT
ejpam-4366	125	44	s	s	NOUN
ejpam-4366	125	45	)	)	PUNCT
ejpam-4366	125	46	)	)	PUNCT
ejpam-4366	125	47	ds	ds	PROPN
ejpam-4366	125	48	,	,	PUNCT
ejpam-4366	125	49	(	(	PUNCT
ejpam-4366	125	50	6	6	NUM
ejpam-4366	125	51	)	)	PUNCT
ejpam-4366	125	52	(	(	PUNCT
ejpam-4366	125	53	a2x	a2x	PROPN
ejpam-4366	125	54	)	)	PUNCT
ejpam-4366	125	55	(	(	PUNCT
ejpam-4366	125	56	t	t	NOUN
ejpam-4366	125	57	)	)	PUNCT
ejpam-4366	125	58	=	=	SYM
ejpam-4366	125	59	n−1	n−1	PROPN
ejpam-4366	125	60	(	(	PUNCT
ejpam-4366	125	61	c	c	NOUN
ejpam-4366	125	62	−	−	PROPN
ejpam-4366	125	63	1	1	NUM
ejpam-4366	125	64	γ	γ	X
ejpam-4366	125	65	(	(	PUNCT
ejpam-4366	125	66	α	α	NOUN
ejpam-4366	125	67	)	)	PUNCT
ejpam-4366	125	68	∫	∫	PROPN
ejpam-4366	125	69	t	t	PROPN
ejpam-4366	125	70	0	0	NUM
ejpam-4366	125	71	n	n	CCONJ
ejpam-4366	125	72	(	(	PUNCT
ejpam-4366	125	73	t	t	PROPN
ejpam-4366	125	74	)	)	PUNCT
ejpam-4366	125	75	∫	∫	PROPN
ejpam-4366	125	76	t	t	PROPN
ejpam-4366	125	77	0	0	NUM
ejpam-4366	126	1	(	(	PUNCT
ejpam-4366	126	2	t−	t−	PROPN
ejpam-4366	126	3	s)α−1	s)α−1	X
ejpam-4366	126	4	f	f	PROPN
ejpam-4366	126	5	(	(	PUNCT
ejpam-4366	126	6	s	s	X
ejpam-4366	126	7	,	,	PUNCT
ejpam-4366	126	8	x	x	X
ejpam-4366	126	9	(	(	PUNCT
ejpam-4366	126	10	s	s	NOUN
ejpam-4366	126	11	)	)	PUNCT
ejpam-4366	126	12	,	,	PUNCT
ejpam-4366	126	13	φx	φx	PROPN
ejpam-4366	126	14	(	(	PUNCT
ejpam-4366	126	15	s	s	NOUN
ejpam-4366	126	16	)	)	PUNCT
ejpam-4366	126	17	,	,	PUNCT
ejpam-4366	126	18	ψx	ψx	X
ejpam-4366	126	19	(	(	PUNCT
ejpam-4366	126	20	s	s	NOUN
ejpam-4366	126	21	)	)	PUNCT
ejpam-4366	126	22	)	)	PUNCT
ejpam-4366	126	23	dsdt	dsdt	NOUN
ejpam-4366	126	24	)	)	PUNCT
ejpam-4366	126	25	.	.	PUNCT
ejpam-4366	127	1	(	(	PUNCT
ejpam-4366	127	2	7	7	X
ejpam-4366	127	3	)	)	PUNCT
ejpam-4366	127	4	for	for	ADP
ejpam-4366	127	5	x	x	X
ejpam-4366	127	6	,	,	PUNCT
ejpam-4366	127	7	y	y	PROPN
ejpam-4366	127	8	∈	∈	PROPN
ejpam-4366	127	9	br	br	PROPN
ejpam-4366	127	10	,	,	PUNCT
ejpam-4366	127	11	by	by	ADP
ejpam-4366	127	12	(	(	PUNCT
ejpam-4366	127	13	h2	h2	NOUN
ejpam-4366	127	14	)	)	PUNCT
ejpam-4366	127	15	,	,	PUNCT
ejpam-4366	127	16	we	we	PRON
ejpam-4366	127	17	obtain	obtain	VERB
ejpam-4366	127	18	∥(a1x	∥(a1x	NOUN
ejpam-4366	127	19	)	)	PUNCT
ejpam-4366	127	20	(	(	PUNCT
ejpam-4366	127	21	t	t	PROPN
ejpam-4366	127	22	)	)	PUNCT
ejpam-4366	127	23	+	+	CCONJ
ejpam-4366	127	24	(	(	PUNCT
ejpam-4366	127	25	a2y	a2y	X
ejpam-4366	127	26	)	)	PUNCT
ejpam-4366	127	27	(	(	PUNCT
ejpam-4366	127	28	t)∥	t)∥	X
ejpam-4366	127	29	≤	≤	NOUN
ejpam-4366	127	30	g	g	NOUN
ejpam-4366	127	31	γ	γ	X
ejpam-4366	127	32	(	(	PUNCT
ejpam-4366	127	33	α	α	NOUN
ejpam-4366	127	34	)	)	PUNCT
ejpam-4366	127	35	∫	∫	PROPN
ejpam-4366	127	36	t	t	PROPN
ejpam-4366	127	37	0	0	NUM
ejpam-4366	127	38	(	(	PUNCT
ejpam-4366	127	39	t−	t−	PROPN
ejpam-4366	127	40	s)α−1	s)α−1	NOUN
ejpam-4366	127	41	ds+	ds+	NOUN
ejpam-4366	127	42	+	+	CCONJ
ejpam-4366	127	43	∥∥n−1c	∥∥n−1c	NOUN
ejpam-4366	127	44	∥∥+	∥∥+	NOUN
ejpam-4366	127	45	g	g	PROPN
ejpam-4366	127	46	∥n∥	∥n∥	NOUN
ejpam-4366	127	47	∥∥n−1	∥∥n−1	ADV
ejpam-4366	127	48	∥∥	∥∥	PUNCT
ejpam-4366	128	1	γ	γ	X
ejpam-4366	128	2	(	(	PUNCT
ejpam-4366	128	3	α	α	PROPN
ejpam-4366	128	4	)	)	PUNCT
ejpam-4366	128	5	∫	∫	PROPN
ejpam-4366	128	6	t	t	PROPN
ejpam-4366	128	7	0	0	NUM
ejpam-4366	129	1	∫	∫	PROPN
ejpam-4366	129	2	t	t	PROPN
ejpam-4366	129	3	0	0	NUM
ejpam-4366	130	1	(	(	PUNCT
ejpam-4366	130	2	t−	t−	PROPN
ejpam-4366	130	3	s)α−1	s)α−1	PROPN
ejpam-4366	130	4	dsdt	dsdt	NOUN
ejpam-4366	130	5	≤	≤	PUNCT
ejpam-4366	130	6	≤	≤	NUM
ejpam-4366	130	7	gtα	gtα	NOUN
ejpam-4366	130	8	γ	γ	X
ejpam-4366	130	9	(	(	PUNCT
ejpam-4366	130	10	α+	α+	PROPN
ejpam-4366	130	11	1	1	NUM
ejpam-4366	130	12	)	)	PUNCT
ejpam-4366	130	13	+	+	NUM
ejpam-4366	130	14	∥∥n−1c	∥∥n−1c	NOUN
ejpam-4366	130	15	∥∥+	∥∥+	NOUN
ejpam-4366	130	16	g	g	PROPN
ejpam-4366	130	17	∥n∥	∥n∥	NOUN
ejpam-4366	130	18	∥∥n−1	∥∥n−1	PROPN
ejpam-4366	130	19	∥∥tα+1	∥∥tα+1	PROPN
ejpam-4366	130	20	γ	γ	X
ejpam-4366	130	21	(	(	PUNCT
ejpam-4366	130	22	α+	α+	PROPN
ejpam-4366	130	23	2	2	NUM
ejpam-4366	130	24	)	)	PUNCT
ejpam-4366	130	25	≤	≤	PROPN
ejpam-4366	130	26	r.	r.	PROPN
ejpam-4366	130	27	m.j	m.j	PROPN
ejpam-4366	130	28	.	.	PROPN
ejpam-4366	130	29	mardanov	mardanov	PROPN
ejpam-4366	130	30	,	,	PUNCT
ejpam-4366	130	31	h.n	h.n	PROPN
ejpam-4366	130	32	.	.	PROPN
ejpam-4366	130	33	aliyev	aliyev	PROPN
ejpam-4366	130	34	,	,	PUNCT
ejpam-4366	130	35	y.a	y.a	PROPN
ejpam-4366	130	36	.	.	PROPN
ejpam-4366	130	37	sharifov	sharifov	PROPN
ejpam-4366	130	38	/	/	SYM
ejpam-4366	130	39	eur	eur	PROPN
ejpam-4366	130	40	.	.	PUNCT
ejpam-4366	131	1	j.	j.	PROPN
ejpam-4366	131	2	pure	pure	PROPN
ejpam-4366	131	3	appl	appl	PROPN
ejpam-4366	131	4	.	.	PROPN
ejpam-4366	131	5	math	math	PROPN
ejpam-4366	131	6	,	,	PUNCT
ejpam-4366	131	7	15	15	NUM
ejpam-4366	131	8	(	(	PUNCT
ejpam-4366	131	9	2	2	NUM
ejpam-4366	131	10	)	)	PUNCT
ejpam-4366	131	11	(	(	PUNCT
ejpam-4366	131	12	2022	2022	NUM
ejpam-4366	131	13	)	)	PUNCT
ejpam-4366	131	14	,	,	PUNCT
ejpam-4366	131	15	726	726	NUM
ejpam-4366	131	16	-	-	SYM
ejpam-4366	131	17	735	735	NUM
ejpam-4366	131	18	731	731	NUM
ejpam-4366	131	19	this	this	PRON
ejpam-4366	131	20	shows	show	VERB
ejpam-4366	131	21	that	that	SCONJ
ejpam-4366	131	22	a1x+a2y	a1x+a2y	PROPN
ejpam-4366	131	23	∈	∈	PROPN
ejpam-4366	131	24	br	br	NOUN
ejpam-4366	131	25	.	.	PUNCT
ejpam-4366	132	1	therefore	therefore	ADV
ejpam-4366	132	2	,	,	PUNCT
ejpam-4366	132	3	condition	condition	NOUN
ejpam-4366	132	4	(	(	PUNCT
ejpam-4366	132	5	a	a	NOUN
ejpam-4366	132	6	)	)	PUNCT
ejpam-4366	132	7	of	of	ADP
ejpam-4366	132	8	lemma	lemma	PROPN
ejpam-4366	132	9	6	6	NUM
ejpam-4366	132	10	holds	hold	NOUN
ejpam-4366	132	11	.	.	PUNCT
ejpam-4366	133	1	it	it	PRON
ejpam-4366	133	2	is	be	AUX
ejpam-4366	133	3	claimed	claim	VERB
ejpam-4366	133	4	that	that	SCONJ
ejpam-4366	133	5	a1	a1	NOUN
ejpam-4366	133	6	is	be	AUX
ejpam-4366	133	7	compact	compact	ADJ
ejpam-4366	133	8	and	and	CCONJ
ejpam-4366	133	9	continuous	continuous	ADJ
ejpam-4366	133	10	.	.	PUNCT
ejpam-4366	134	1	continuity	continuity	NOUN
ejpam-4366	134	2	of	of	ADP
ejpam-4366	134	3	f	f	PROPN
ejpam-4366	134	4	implies	imply	VERB
ejpam-4366	134	5	that	that	SCONJ
ejpam-4366	134	6	(	(	PUNCT
ejpam-4366	134	7	a1x	a1x	NOUN
ejpam-4366	134	8	)	)	PUNCT
ejpam-4366	134	9	(	(	PUNCT
ejpam-4366	134	10	t	t	NOUN
ejpam-4366	134	11	)	)	PUNCT
ejpam-4366	134	12	is	be	AUX
ejpam-4366	134	13	continuous	continuous	ADJ
ejpam-4366	134	14	.	.	PUNCT
ejpam-4366	135	1	(	(	PUNCT
ejpam-4366	135	2	a1x	a1x	NOUN
ejpam-4366	135	3	)	)	PUNCT
ejpam-4366	135	4	(	(	PUNCT
ejpam-4366	135	5	t	t	NOUN
ejpam-4366	135	6	)	)	PUNCT
ejpam-4366	135	7	is	be	AUX
ejpam-4366	135	8	uniformly	uniformly	ADV
ejpam-4366	135	9	bounded	bound	VERB
ejpam-4366	135	10	on	on	ADP
ejpam-4366	135	11	br	br	PROPN
ejpam-4366	135	12	as	as	ADP
ejpam-4366	135	13	∥a1x∥	∥a1x∥	NOUN
ejpam-4366	135	14	≤	≤	NUM
ejpam-4366	135	15	gtα	gtα	NOUN
ejpam-4366	135	16	γ	γ	X
ejpam-4366	135	17	(	(	PUNCT
ejpam-4366	135	18	α+	α+	PROPN
ejpam-4366	135	19	1	1	NUM
ejpam-4366	135	20	)	)	PUNCT
ejpam-4366	135	21	.	.	PUNCT
ejpam-4366	136	1	since	since	SCONJ
ejpam-4366	136	2	f	f	PROPN
ejpam-4366	136	3	is	be	AUX
ejpam-4366	136	4	bounded	bound	VERB
ejpam-4366	136	5	on	on	ADP
ejpam-4366	136	6	the	the	DET
ejpam-4366	136	7	compact	compact	ADJ
ejpam-4366	136	8	set	set	NOUN
ejpam-4366	136	9	[	[	X
ejpam-4366	136	10	0	0	NUM
ejpam-4366	136	11	,	,	PUNCT
ejpam-4366	136	12	t	t	NOUN
ejpam-4366	136	13	]	]	PUNCT
ejpam-4366	136	14	×br	×br	PROPN
ejpam-4366	136	15	,	,	PUNCT
ejpam-4366	136	16	let	let	VERB
ejpam-4366	136	17	sup	sup	NOUN
ejpam-4366	136	18	[	[	X
ejpam-4366	136	19	0,t	0,t	X
ejpam-4366	136	20	]	]	X
ejpam-4366	136	21	×br	×br	PROPN
ejpam-4366	136	22	∥f	∥f	PROPN
ejpam-4366	136	23	(	(	PUNCT
ejpam-4366	136	24	t	t	PROPN
ejpam-4366	136	25	,	,	PUNCT
ejpam-4366	136	26	x	x	X
ejpam-4366	136	27	,	,	PUNCT
ejpam-4366	136	28	y	y	PROPN
ejpam-4366	136	29	,	,	PUNCT
ejpam-4366	136	30	z)∥	z)∥	NUM
ejpam-4366	136	31	=	=	NOUN
ejpam-4366	136	32	mf	mf	X
ejpam-4366	136	33	.	.	PUNCT
ejpam-4366	137	1	then	then	ADV
ejpam-4366	137	2	,	,	PUNCT
ejpam-4366	137	3	for	for	ADP
ejpam-4366	137	4	t1	t1	NOUN
ejpam-4366	137	5	,	,	PUNCT
ejpam-4366	137	6	t2	t2	PROPN
ejpam-4366	137	7	∈	∈	PROPN
ejpam-4366	138	1	[	[	X
ejpam-4366	138	2	0	0	NUM
ejpam-4366	138	3	,	,	PUNCT
ejpam-4366	138	4	t	t	X
ejpam-4366	138	5	]	]	PUNCT
ejpam-4366	138	6	,	,	PUNCT
ejpam-4366	138	7	t1	t1	NOUN
ejpam-4366	138	8	<	<	X
ejpam-4366	138	9	t2	t2	NOUN
ejpam-4366	138	10	we	we	PRON
ejpam-4366	138	11	get	get	VERB
ejpam-4366	138	12	∥(a1x	∥(a1x	NOUN
ejpam-4366	138	13	)	)	PUNCT
ejpam-4366	138	14	(	(	PUNCT
ejpam-4366	138	15	t2)−	t2)−	NOUN
ejpam-4366	138	16	(	(	PUNCT
ejpam-4366	138	17	a1x	a1x	NOUN
ejpam-4366	138	18	)	)	PUNCT
ejpam-4366	138	19	(	(	PUNCT
ejpam-4366	138	20	t1)∥	t1)∥	X
ejpam-4366	139	1	=	=	SYM
ejpam-4366	139	2	=	=	SYM
ejpam-4366	139	3	1	1	NUM
ejpam-4366	139	4	γ(α	γ(α	NOUN
ejpam-4366	139	5	)	)	PUNCT
ejpam-4366	139	6	∥∥∥∫	∥∥∥∫	PROPN
ejpam-4366	139	7	t10	t10	NOUN
ejpam-4366	139	8	(	(	PUNCT
ejpam-4366	139	9	(	(	PUNCT
ejpam-4366	139	10	t2	t2	PROPN
ejpam-4366	139	11	−	−	PROPN
ejpam-4366	139	12	s)α−1	s)α−1	NOUN
ejpam-4366	139	13	−	−	PROPN
ejpam-4366	139	14	(	(	PUNCT
ejpam-4366	139	15	t1	t1	NOUN
ejpam-4366	139	16	−	−	NOUN
ejpam-4366	139	17	s)α−1	s)α−1	NOUN
ejpam-4366	139	18	)	)	PUNCT
ejpam-4366	139	19	f	f	PROPN
ejpam-4366	139	20	(	(	PUNCT
ejpam-4366	139	21	s	s	X
ejpam-4366	139	22	,	,	PUNCT
ejpam-4366	139	23	x	x	X
ejpam-4366	139	24	(	(	PUNCT
ejpam-4366	139	25	s	s	NOUN
ejpam-4366	139	26	)	)	PUNCT
ejpam-4366	139	27	,	,	PUNCT
ejpam-4366	139	28	φx	φx	PROPN
ejpam-4366	139	29	(	(	PUNCT
ejpam-4366	139	30	s	s	NOUN
ejpam-4366	139	31	)	)	PUNCT
ejpam-4366	139	32	,	,	PUNCT
ejpam-4366	139	33	ψx	ψx	X
ejpam-4366	139	34	(	(	PUNCT
ejpam-4366	139	35	s	s	NOUN
ejpam-4366	139	36	)	)	PUNCT
ejpam-4366	139	37	)	)	PUNCT
ejpam-4366	139	38	ds+∫	ds+∫	PROPN
ejpam-4366	139	39	t2	t2	PROPN
ejpam-4366	139	40	t1	t1	NOUN
ejpam-4366	139	41	(	(	PUNCT
ejpam-4366	139	42	t2	t2	PROPN
ejpam-4366	139	43	−	−	PROPN
ejpam-4366	139	44	s)α−1	s)α−1	NOUN
ejpam-4366	139	45	f	f	PROPN
ejpam-4366	139	46	(	(	PUNCT
ejpam-4366	139	47	s	s	X
ejpam-4366	139	48	,	,	PUNCT
ejpam-4366	139	49	x	x	X
ejpam-4366	139	50	(	(	PUNCT
ejpam-4366	139	51	s	s	NOUN
ejpam-4366	139	52	)	)	PUNCT
ejpam-4366	139	53	,	,	PUNCT
ejpam-4366	139	54	φx	φx	PROPN
ejpam-4366	139	55	(	(	PUNCT
ejpam-4366	139	56	s	s	NOUN
ejpam-4366	139	57	)	)	PUNCT
ejpam-4366	139	58	,	,	PUNCT
ejpam-4366	139	59	ψx	ψx	X
ejpam-4366	139	60	(	(	PUNCT
ejpam-4366	139	61	s	s	NOUN
ejpam-4366	139	62	)	)	PUNCT
ejpam-4366	139	63	)	)	PUNCT
ejpam-4366	139	64	ds	ds	ADJ
ejpam-4366	139	65	∥	∥	PUNCT
ejpam-4366	139	66	≤	≤	NOUN
ejpam-4366	139	67	≤	≤	NOUN
ejpam-4366	139	68	mf	mf	VERB
ejpam-4366	139	69	γ	γ	X
ejpam-4366	139	70	(	(	PUNCT
ejpam-4366	139	71	α	α	NOUN
ejpam-4366	139	72	)	)	PUNCT
ejpam-4366	139	73	(	(	PUNCT
ejpam-4366	139	74	tα2	tα2	INTJ
ejpam-4366	139	75	α	α	NOUN
ejpam-4366	139	76	−	−	PROPN
ejpam-4366	139	77	tα1	tα1	PROPN
ejpam-4366	139	78	α	α	PROPN
ejpam-4366	139	79	)	)	PUNCT
ejpam-4366	139	80	,	,	PUNCT
ejpam-4366	139	81	which	which	PRON
ejpam-4366	139	82	is	be	AUX
ejpam-4366	139	83	independent	independent	ADJ
ejpam-4366	139	84	of	of	ADP
ejpam-4366	139	85	x	x	PUNCT
ejpam-4366	139	86	and	and	CCONJ
ejpam-4366	139	87	tends	tend	VERB
ejpam-4366	139	88	to	to	ADP
ejpam-4366	139	89	zero	zero	NUM
ejpam-4366	139	90	as	as	ADP
ejpam-4366	139	91	t2	t2	PROPN
ejpam-4366	139	92	→	→	SYM
ejpam-4366	139	93	t1	t1	PROPN
ejpam-4366	139	94	.	.	PUNCT
ejpam-4366	140	1	therefore	therefore	ADV
ejpam-4366	140	2	,	,	PUNCT
ejpam-4366	140	3	a1	a1	NOUN
ejpam-4366	140	4	is	be	AUX
ejpam-4366	140	5	relatively	relatively	ADV
ejpam-4366	140	6	compact	compact	ADJ
ejpam-4366	140	7	on	on	ADP
ejpam-4366	140	8	br	br	PROPN
ejpam-4366	140	9	.	.	PUNCT
ejpam-4366	141	1	by	by	ADP
ejpam-4366	141	2	arzela	arzela	PROPN
ejpam-4366	141	3	ascoli	ascoli	PROPN
ejpam-4366	141	4	’s	’s	PART
ejpam-4366	141	5	theorem	theorem	NOUN
ejpam-4366	141	6	,	,	PUNCT
ejpam-4366	141	7	a1	a1	NOUN
ejpam-4366	141	8	is	be	AUX
ejpam-4366	141	9	compact	compact	ADJ
ejpam-4366	141	10	on	on	ADP
ejpam-4366	141	11	br	br	PROPN
ejpam-4366	141	12	.	.	PUNCT
ejpam-4366	142	1	for	for	ADP
ejpam-4366	142	2	x	x	SYM
ejpam-4366	142	3	,	,	PUNCT
ejpam-4366	142	4	y	y	PROPN
ejpam-4366	142	5	∈	∈	PROPN
ejpam-4366	142	6	br	br	NOUN
ejpam-4366	142	7	and	and	CCONJ
ejpam-4366	142	8	t	t	NOUN
ejpam-4366	142	9	∈	∈	PROPN
ejpam-4366	143	1	[	[	X
ejpam-4366	143	2	0	0	NUM
ejpam-4366	143	3	,	,	PUNCT
ejpam-4366	143	4	t	t	X
ejpam-4366	143	5	]	]	PUNCT
ejpam-4366	143	6	,	,	PUNCT
ejpam-4366	143	7	by	by	ADP
ejpam-4366	143	8	(	(	PUNCT
ejpam-4366	143	9	h1	h1	PROPN
ejpam-4366	143	10	)	)	PUNCT
ejpam-4366	143	11	,	,	PUNCT
ejpam-4366	143	12	we	we	PRON
ejpam-4366	143	13	have	have	VERB
ejpam-4366	143	14	∥(a2x	∥(a2x	NUM
ejpam-4366	143	15	)	)	PUNCT
ejpam-4366	143	16	(	(	PUNCT
ejpam-4366	143	17	t)−	t)−	PROPN
ejpam-4366	143	18	(	(	PUNCT
ejpam-4366	143	19	a2y	a2y	NOUN
ejpam-4366	143	20	)	)	PUNCT
ejpam-4366	143	21	(	(	PUNCT
ejpam-4366	143	22	t)∥	t)∥	NUM
ejpam-4366	143	23	≤	≤	NUM
ejpam-4366	143	24	≤	≤	NUM
ejpam-4366	143	25	1	1	NUM
ejpam-4366	143	26	γ	γ	X
ejpam-4366	143	27	(	(	PUNCT
ejpam-4366	143	28	α	α	NOUN
ejpam-4366	143	29	)	)	PUNCT
ejpam-4366	143	30	∥∥∥∥n−1	∥∥∥∥n−1	PROPN
ejpam-4366	143	31	∫	∫	PROPN
ejpam-4366	143	32	t	t	PROPN
ejpam-4366	143	33	0	0	NUM
ejpam-4366	143	34	n	n	CCONJ
ejpam-4366	143	35	(	(	PUNCT
ejpam-4366	143	36	t	t	PROPN
ejpam-4366	143	37	)	)	PUNCT
ejpam-4366	143	38	∫	∫	PROPN
ejpam-4366	144	1	t	t	PROPN
ejpam-4366	144	2	0	0	NUM
ejpam-4366	144	3	(	(	PUNCT
ejpam-4366	144	4	t−	t−	PROPN
ejpam-4366	144	5	s)α−1	s)α−1	NOUN
ejpam-4366	144	6	(	(	PUNCT
ejpam-4366	144	7	f	f	X
ejpam-4366	144	8	(	(	PUNCT
ejpam-4366	144	9	s	s	X
ejpam-4366	144	10	,	,	PUNCT
ejpam-4366	144	11	x	x	X
ejpam-4366	144	12	(	(	PUNCT
ejpam-4366	144	13	s	s	NOUN
ejpam-4366	144	14	)	)	PUNCT
ejpam-4366	144	15	,	,	PUNCT
ejpam-4366	144	16	φx	φx	PROPN
ejpam-4366	144	17	(	(	PUNCT
ejpam-4366	144	18	s	s	NOUN
ejpam-4366	144	19	)	)	PUNCT
ejpam-4366	144	20	,	,	PUNCT
ejpam-4366	144	21	ψx	ψx	X
ejpam-4366	144	22	(	(	PUNCT
ejpam-4366	144	23	s	s	NOUN
ejpam-4366	144	24	)	)	PUNCT
ejpam-4366	144	25	)	)	PUNCT
ejpam-4366	145	1	−	−	NOUN
ejpam-4366	146	1	−	−	PROPN
ejpam-4366	146	2	f	f	X
ejpam-4366	146	3	(	(	PUNCT
ejpam-4366	146	4	s	s	PROPN
ejpam-4366	146	5	,	,	PUNCT
ejpam-4366	146	6	y	y	PROPN
ejpam-4366	146	7	(	(	PUNCT
ejpam-4366	146	8	s	s	PROPN
ejpam-4366	146	9	)	)	PUNCT
ejpam-4366	146	10	,	,	PUNCT
ejpam-4366	146	11	φy	φy	X
ejpam-4366	146	12	(	(	PUNCT
ejpam-4366	146	13	s	s	NOUN
ejpam-4366	146	14	)	)	PUNCT
ejpam-4366	146	15	,	,	PUNCT
ejpam-4366	146	16	ψy	ψy	PROPN
ejpam-4366	146	17	(	(	PUNCT
ejpam-4366	146	18	s	s	NOUN
ejpam-4366	146	19	)	)	PUNCT
ejpam-4366	146	20	)	)	PUNCT
ejpam-4366	146	21	)	)	PUNCT
ejpam-4366	146	22	dsdt∥	dsdt∥	VERB
ejpam-4366	146	23	≤	≤	ADJ
ejpam-4366	146	24	≤	≤	NUM
ejpam-4366	146	25	l	l	NOUN
ejpam-4366	146	26	(	(	PUNCT
ejpam-4366	146	27	1	1	NUM
ejpam-4366	146	28	+	+	NUM
ejpam-4366	146	29	t	t	PROPN
ejpam-4366	146	30	(	(	PUNCT
ejpam-4366	146	31	φ0	φ0	PROPN
ejpam-4366	146	32	+	+	CCONJ
ejpam-4366	146	33	ψ0	ψ0	ADJ
ejpam-4366	146	34	)	)	PUNCT
ejpam-4366	146	35	)	)	PUNCT
ejpam-4366	146	36	∥∥n−1	∥∥n−1	PROPN
ejpam-4366	146	37	∥∥	∥∥	PRON
ejpam-4366	146	38	∥n∥tα+1	∥n∥tα+1	NUM
ejpam-4366	146	39	γ	γ	X
ejpam-4366	146	40	(	(	PUNCT
ejpam-4366	146	41	α+	α+	NOUN
ejpam-4366	146	42	1	1	NUM
ejpam-4366	146	43	)	)	PUNCT
ejpam-4366	146	44	∥x−	∥x−	PROPN
ejpam-4366	146	45	y∥	y∥	NOUN
ejpam-4366	146	46	.	.	PUNCT
ejpam-4366	147	1	it	it	PRON
ejpam-4366	147	2	follows	follow	VERB
ejpam-4366	147	3	from	from	ADP
ejpam-4366	147	4	(	(	PUNCT
ejpam-4366	147	5	5	5	NUM
ejpam-4366	147	6	)	)	PUNCT
ejpam-4366	147	7	that	that	PRON
ejpam-4366	147	8	a2	a2	PROPN
ejpam-4366	147	9	is	be	AUX
ejpam-4366	147	10	a	a	DET
ejpam-4366	147	11	contraction	contraction	NOUN
ejpam-4366	147	12	mapping	mapping	NOUN
ejpam-4366	147	13	.	.	PUNCT
ejpam-4366	148	1	thus	thus	ADV
ejpam-4366	148	2	,	,	PUNCT
ejpam-4366	148	3	by	by	ADP
ejpam-4366	148	4	krasnoselskii	krasnoselskii	PROPN
ejpam-4366	148	5	’s	’s	PART
ejpam-4366	148	6	fixed	fix	VERB
ejpam-4366	148	7	point	point	NOUN
ejpam-4366	148	8	theorem	theorem	ADJ
ejpam-4366	148	9	,	,	PUNCT
ejpam-4366	148	10	boundary	boundary	ADJ
ejpam-4366	148	11	value	value	NOUN
ejpam-4366	148	12	problem	problem	NOUN
ejpam-4366	148	13	(	(	PUNCT
ejpam-4366	148	14	1	1	NUM
ejpam-4366	148	15	)	)	PUNCT
ejpam-4366	148	16	,	,	PUNCT
ejpam-4366	148	17	(	(	PUNCT
ejpam-4366	148	18	2	2	X
ejpam-4366	148	19	)	)	PUNCT
ejpam-4366	148	20	has	have	VERB
ejpam-4366	148	21	at	at	ADV
ejpam-4366	148	22	least	least	ADJ
ejpam-4366	148	23	one	one	NUM
ejpam-4366	148	24	solution	solution	NOUN
ejpam-4366	148	25	.	.	PUNCT
ejpam-4366	149	1	theorem	theorem	NOUN
ejpam-4366	149	2	3	3	NUM
ejpam-4366	149	3	.	.	PUNCT
ejpam-4366	149	4	assume	assume	VERB
ejpam-4366	149	5	that	that	SCONJ
ejpam-4366	149	6	f	f	X
ejpam-4366	149	7	:	:	PUNCT
ejpam-4366	150	1	[	[	X
ejpam-4366	150	2	0	0	NUM
ejpam-4366	150	3	,	,	PUNCT
ejpam-4366	150	4	t	t	X
ejpam-4366	150	5	]	]	PUNCT
ejpam-4366	150	6	×	×	PROPN
ejpam-4366	150	7	rn	rn	PROPN
ejpam-4366	150	8	→	→	PROPN
ejpam-4366	150	9	rn	rn	PROPN
ejpam-4366	150	10	is	be	AUX
ejpam-4366	150	11	a	a	DET
ejpam-4366	150	12	continuous	continuous	ADJ
ejpam-4366	150	13	function	function	NOUN
ejpam-4366	150	14	satisfying	satisfy	VERB
ejpam-4366	150	15	the	the	DET
ejpam-4366	150	16	assumption	assumption	NOUN
ejpam-4366	150	17	(	(	PUNCT
ejpam-4366	150	18	a1	a1	NOUN
ejpam-4366	150	19	)	)	PUNCT
ejpam-4366	150	20	.	.	PUNCT
ejpam-4366	151	1	then	then	ADV
ejpam-4366	151	2	the	the	DET
ejpam-4366	151	3	problems	problem	NOUN
ejpam-4366	151	4	(	(	PUNCT
ejpam-4366	151	5	3	3	NUM
ejpam-4366	151	6	)	)	PUNCT
ejpam-4366	151	7	and	and	CCONJ
ejpam-4366	151	8	(	(	PUNCT
ejpam-4366	151	9	4	4	X
ejpam-4366	151	10	)	)	PUNCT
ejpam-4366	151	11	has	have	VERB
ejpam-4366	151	12	a	a	DET
ejpam-4366	151	13	unique	unique	ADJ
ejpam-4366	151	14	solution	solution	NOUN
ejpam-4366	151	15	on	on	ADP
ejpam-4366	151	16	[	[	X
ejpam-4366	151	17	0	0	NUM
ejpam-4366	151	18	,	,	PUNCT
ejpam-4366	151	19	t	t	X
ejpam-4366	151	20	]	]	PUNCT
ejpam-4366	151	21	if	if	SCONJ
ejpam-4366	151	22	l	l	X
ejpam-4366	151	23	(	(	PUNCT
ejpam-4366	151	24	1	1	NUM
ejpam-4366	151	25	+	+	NUM
ejpam-4366	151	26	t	t	PROPN
ejpam-4366	151	27	(	(	PUNCT
ejpam-4366	151	28	φ0	φ0	PROPN
ejpam-4366	151	29	+	+	CCONJ
ejpam-4366	151	30	ψ0	ψ0	ADJ
ejpam-4366	151	31	)	)	PUNCT
ejpam-4366	151	32	)	)	PUNCT
ejpam-4366	152	1	λ	λ	X
ejpam-4366	152	2	<	<	X
ejpam-4366	152	3	1	1	NUM
ejpam-4366	152	4	,	,	PUNCT
ejpam-4366	152	5	where	where	SCONJ
ejpam-4366	152	6	λ	λ	PROPN
ejpam-4366	152	7	=	=	SYM
ejpam-4366	152	8	tα	tα	VERB
ejpam-4366	152	9	γ(α+1	γ(α+1	NOUN
ejpam-4366	152	10	)	)	PUNCT
ejpam-4366	153	1	+	+	NUM
ejpam-4366	153	2	∥n−1∥∥n∥tα+1	∥n−1∥∥n∥tα+1	NOUN
ejpam-4366	153	3	γ(α+2	γ(α+2	PRON
ejpam-4366	153	4	)	)	PUNCT
ejpam-4366	153	5	.	.	PUNCT
ejpam-4366	154	1	proof	proof	NOUN
ejpam-4366	154	2	.	.	PUNCT
ejpam-4366	155	1	proof	proof	NOUN
ejpam-4366	155	2	.	.	PUNCT
ejpam-4366	156	1	define	define	VERB
ejpam-4366	156	2	a	a	DET
ejpam-4366	156	3	mapping	mapping	NOUN
ejpam-4366	156	4	f	f	NOUN
ejpam-4366	156	5	:	:	PUNCT
ejpam-4366	157	1	c	c	X
ejpam-4366	157	2	(	(	PUNCT
ejpam-4366	157	3	[	[	X
ejpam-4366	157	4	0	0	NUM
ejpam-4366	157	5	,	,	PUNCT
ejpam-4366	157	6	t	t	X
ejpam-4366	157	7	]	]	PUNCT
ejpam-4366	157	8	;	;	PUNCT
ejpam-4366	157	9	rn	rn	X
ejpam-4366	157	10	)	)	PUNCT
ejpam-4366	157	11	→	→	SYM
ejpam-4366	157	12	(	(	PUNCT
ejpam-4366	157	13	[	[	X
ejpam-4366	157	14	0	0	NUM
ejpam-4366	157	15	,	,	PUNCT
ejpam-4366	157	16	t	t	X
ejpam-4366	157	17	]	]	PUNCT
ejpam-4366	157	18	;	;	PUNCT
ejpam-4366	157	19	rn	rn	X
ejpam-4366	157	20	)	)	PUNCT
ejpam-4366	157	21	by	by	ADP
ejpam-4366	157	22	(	(	PUNCT
ejpam-4366	157	23	fx	fx	NOUN
ejpam-4366	157	24	)	)	PUNCT
ejpam-4366	157	25	(	(	PUNCT
ejpam-4366	157	26	t	t	NOUN
ejpam-4366	157	27	)	)	PUNCT
ejpam-4366	157	28	=	=	SYM
ejpam-4366	157	29	1	1	NUM
ejpam-4366	157	30	γ(α	γ(α	NOUN
ejpam-4366	157	31	)	)	PUNCT
ejpam-4366	157	32	∫	∫	PROPN
ejpam-4366	157	33	t	t	PROPN
ejpam-4366	157	34	0	0	NUM
ejpam-4366	158	1	(	(	PUNCT
ejpam-4366	158	2	t−	t−	PROPN
ejpam-4366	158	3	s)α−1	s)α−1	X
ejpam-4366	158	4	f	f	PROPN
ejpam-4366	158	5	(	(	PUNCT
ejpam-4366	158	6	s	s	X
ejpam-4366	158	7	,	,	PUNCT
ejpam-4366	158	8	x	x	X
ejpam-4366	158	9	(	(	PUNCT
ejpam-4366	158	10	s	s	NOUN
ejpam-4366	158	11	)	)	PUNCT
ejpam-4366	158	12	,	,	PUNCT
ejpam-4366	158	13	φx	φx	PROPN
ejpam-4366	158	14	(	(	PUNCT
ejpam-4366	158	15	s	s	NOUN
ejpam-4366	158	16	)	)	PUNCT
ejpam-4366	158	17	,	,	PUNCT
ejpam-4366	158	18	ψx	ψx	X
ejpam-4366	158	19	(	(	PUNCT
ejpam-4366	158	20	s	s	NOUN
ejpam-4366	158	21	)	)	PUNCT
ejpam-4366	158	22	)	)	PUNCT
ejpam-4366	158	23	ds+	ds+	PROPN
ejpam-4366	159	1	+	+	SYM
ejpam-4366	159	2	n−1	n−1	PROPN
ejpam-4366	159	3	(	(	PUNCT
ejpam-4366	159	4	c	c	NOUN
ejpam-4366	159	5	−	−	PROPN
ejpam-4366	159	6	1	1	NUM
ejpam-4366	159	7	γ(α	γ(α	NOUN
ejpam-4366	159	8	)	)	PUNCT
ejpam-4366	159	9	∫	∫	PROPN
ejpam-4366	160	1	t	t	PROPN
ejpam-4366	160	2	0	0	NUM
ejpam-4366	160	3	n	n	CCONJ
ejpam-4366	160	4	(	(	PUNCT
ejpam-4366	160	5	t	t	PROPN
ejpam-4366	160	6	)	)	PUNCT
ejpam-4366	160	7	∫	∫	PROPN
ejpam-4366	160	8	t	t	PROPN
ejpam-4366	160	9	0	0	NUM
ejpam-4366	160	10	(	(	PUNCT
ejpam-4366	160	11	t−	t−	PROPN
ejpam-4366	160	12	s)α−1	s)α−1	X
ejpam-4366	160	13	f	f	PROPN
ejpam-4366	160	14	(	(	PUNCT
ejpam-4366	160	15	s	s	X
ejpam-4366	160	16	,	,	PUNCT
ejpam-4366	160	17	x	x	X
ejpam-4366	160	18	(	(	PUNCT
ejpam-4366	160	19	s	s	NOUN
ejpam-4366	160	20	)	)	PUNCT
ejpam-4366	160	21	,	,	PUNCT
ejpam-4366	160	22	φx	φx	PROPN
ejpam-4366	160	23	(	(	PUNCT
ejpam-4366	160	24	s	s	NOUN
ejpam-4366	160	25	)	)	PUNCT
ejpam-4366	160	26	,	,	PUNCT
ejpam-4366	160	27	ψx	ψx	X
ejpam-4366	160	28	(	(	PUNCT
ejpam-4366	160	29	s	s	NOUN
ejpam-4366	160	30	)	)	PUNCT
ejpam-4366	160	31	)	)	PUNCT
ejpam-4366	160	32	dsdt	dsdt	NOUN
ejpam-4366	160	33	)	)	PUNCT
ejpam-4366	160	34	.	.	PUNCT
ejpam-4366	161	1	(	(	PUNCT
ejpam-4366	161	2	8)	8)	NUM
ejpam-4366	161	3	m.j	m.j	PROPN
ejpam-4366	161	4	.	.	PROPN
ejpam-4366	161	5	mardanov	mardanov	PROPN
ejpam-4366	161	6	,	,	PUNCT
ejpam-4366	161	7	h.n	h.n	PROPN
ejpam-4366	161	8	.	.	PROPN
ejpam-4366	161	9	aliyev	aliyev	PROPN
ejpam-4366	161	10	,	,	PUNCT
ejpam-4366	161	11	y.a	y.a	PROPN
ejpam-4366	161	12	.	.	PROPN
ejpam-4366	161	13	sharifov	sharifov	PROPN
ejpam-4366	161	14	/	/	SYM
ejpam-4366	161	15	eur	eur	PROPN
ejpam-4366	161	16	.	.	PUNCT
ejpam-4366	162	1	j.	j.	PROPN
ejpam-4366	162	2	pure	pure	PROPN
ejpam-4366	162	3	appl	appl	PROPN
ejpam-4366	162	4	.	.	PROPN
ejpam-4366	162	5	math	math	PROPN
ejpam-4366	162	6	,	,	PUNCT
ejpam-4366	162	7	15	15	NUM
ejpam-4366	162	8	(	(	PUNCT
ejpam-4366	162	9	2	2	NUM
ejpam-4366	162	10	)	)	PUNCT
ejpam-4366	162	11	(	(	PUNCT
ejpam-4366	162	12	2022	2022	NUM
ejpam-4366	162	13	)	)	PUNCT
ejpam-4366	162	14	,	,	PUNCT
ejpam-4366	162	15	726	726	NUM
ejpam-4366	162	16	-	-	SYM
ejpam-4366	162	17	735	735	NUM
ejpam-4366	162	18	732	732	NUM
ejpam-4366	162	19	let	let	VERB
ejpam-4366	162	20	us	we	PRON
ejpam-4366	162	21	first	first	ADV
ejpam-4366	162	22	show	show	VERB
ejpam-4366	162	23	that	that	SCONJ
ejpam-4366	162	24	fbr	fbr	PROPN
ejpam-4366	162	25	⊂	⊂	PROPN
ejpam-4366	162	26	br	br	PROPN
ejpam-4366	162	27	,	,	PUNCT
ejpam-4366	162	28	wheref	wheref	PROPN
ejpam-4366	162	29	is	be	AUX
ejpam-4366	162	30	the	the	DET
ejpam-4366	162	31	operator	operator	NOUN
ejpam-4366	162	32	defined	define	VERB
ejpam-4366	162	33	by	by	ADP
ejpam-4366	162	34	(	(	PUNCT
ejpam-4366	162	35	8)	8)	NUM
ejpam-4366	162	36	and	and	CCONJ
ejpam-4366	162	37	r	r	NOUN
ejpam-4366	162	38	≥	≥	PROPN
ejpam-4366	163	1	mfλ+∥n−1c∥	mfλ+∥n−1c∥	NUM
ejpam-4366	163	2	1−l(1+t	1−l(1+t	NUM
ejpam-4366	163	3	(	(	PUNCT
ejpam-4366	163	4	φ0+ψ0))λ	φ0+ψ0))λ	PROPN
ejpam-4366	163	5	with	with	ADP
ejpam-4366	163	6	mf	mf	NOUN
ejpam-4366	163	7	=	=	PUNCT
ejpam-4366	163	8	sup	sup	PROPN
ejpam-4366	163	9	|f	|f	PROPN
ejpam-4366	163	10	(	(	PUNCT
ejpam-4366	163	11	t	t	PROPN
ejpam-4366	163	12	,	,	PUNCT
ejpam-4366	163	13	0	0	NUM
ejpam-4366	163	14	,	,	PUNCT
ejpam-4366	163	15	0	0	NUM
ejpam-4366	163	16	,	,	PUNCT
ejpam-4366	163	17	0)|	0)|	NOUN
ejpam-4366	163	18	t∈[0,t	t∈[0,t	NOUN
ejpam-4366	163	19	]	]	PUNCT
ejpam-4366	163	20	.	.	PUNCT
ejpam-4366	164	1	then	then	ADV
ejpam-4366	164	2	,	,	PUNCT
ejpam-4366	164	3	in	in	ADP
ejpam-4366	164	4	view	view	NOUN
ejpam-4366	164	5	of	of	ADP
ejpam-4366	164	6	the	the	DET
ejpam-4366	164	7	assumptions	assumption	NOUN
ejpam-4366	164	8	(	(	PUNCT
ejpam-4366	164	9	h1	h1	PROPN
ejpam-4366	164	10	)	)	PUNCT
ejpam-4366	164	11	and	and	CCONJ
ejpam-4366	164	12	(	(	PUNCT
ejpam-4366	164	13	h2	h2	NOUN
ejpam-4366	164	14	)	)	PUNCT
ejpam-4366	164	15	,	,	PUNCT
ejpam-4366	164	16	we	we	PRON
ejpam-4366	164	17	have	have	VERB
ejpam-4366	164	18	|f	|f	PROPN
ejpam-4366	164	19	(	(	PUNCT
ejpam-4366	164	20	t	t	PROPN
ejpam-4366	164	21	,	,	PUNCT
ejpam-4366	164	22	x	x	X
ejpam-4366	164	23	,	,	PUNCT
ejpam-4366	164	24	φx	φx	PROPN
ejpam-4366	164	25	,	,	PUNCT
ejpam-4366	164	26	ψx)|	ψx)|	VERB
ejpam-4366	164	27	≤	≤	NUM
ejpam-4366	164	28	|f	|f	PROPN
ejpam-4366	164	29	(	(	PUNCT
ejpam-4366	164	30	t	t	PROPN
ejpam-4366	164	31	,	,	PUNCT
ejpam-4366	164	32	x	x	X
ejpam-4366	164	33	,	,	PUNCT
ejpam-4366	164	34	φx	φx	ADJ
ejpam-4366	164	35	,	,	PUNCT
ejpam-4366	164	36	ψx)−	ψx)−	PROPN
ejpam-4366	164	37	f	f	X
ejpam-4366	164	38	(	(	PUNCT
ejpam-4366	164	39	t	t	PROPN
ejpam-4366	164	40	,	,	PUNCT
ejpam-4366	164	41	0	0	NUM
ejpam-4366	164	42	,	,	PUNCT
ejpam-4366	164	43	0	0	NUM
ejpam-4366	164	44	,	,	PUNCT
ejpam-4366	164	45	0)|+	0)|+	NUM
ejpam-4366	164	46	|f	|f	PROPN
ejpam-4366	164	47	(	(	PUNCT
ejpam-4366	164	48	t	t	PROPN
ejpam-4366	164	49	,	,	PUNCT
ejpam-4366	164	50	0	0	NUM
ejpam-4366	164	51	,	,	PUNCT
ejpam-4366	164	52	0	0	NUM
ejpam-4366	164	53	,	,	PUNCT
ejpam-4366	164	54	0)|	0)|	VERB
ejpam-4366	164	55	≤	≤	NUM
ejpam-4366	164	56	≤	≤	NUM
ejpam-4366	164	57	l	l	NOUN
ejpam-4366	165	1	(	(	PUNCT
ejpam-4366	165	2	|x|+	|x|+	PROPN
ejpam-4366	165	3	|φx|+	|φx|+	PROPN
ejpam-4366	165	4	|ψx|	|ψx|	PROPN
ejpam-4366	165	5	)	)	PUNCT
ejpam-4366	166	1	+	+	CCONJ
ejpam-4366	166	2	mf	mf	X
ejpam-4366	166	3	≤	≤	NUM
ejpam-4366	166	4	l	l	NOUN
ejpam-4366	166	5	(	(	PUNCT
ejpam-4366	166	6	1	1	NUM
ejpam-4366	166	7	+	+	NUM
ejpam-4366	166	8	t	t	PROPN
ejpam-4366	166	9	(	(	PUNCT
ejpam-4366	166	10	φ0	φ0	PROPN
ejpam-4366	166	11	+	+	CCONJ
ejpam-4366	166	12	ψ0	ψ0	ADJ
ejpam-4366	166	13	)	)	PUNCT
ejpam-4366	166	14	)	)	PUNCT
ejpam-4366	167	1	r	r	NOUN
ejpam-4366	167	2	+	+	NOUN
ejpam-4366	167	3	mf	mf	X
ejpam-4366	167	4	.	.	PUNCT
ejpam-4366	168	1	for	for	ADP
ejpam-4366	168	2	any	any	DET
ejpam-4366	168	3	x	x	SYM
ejpam-4366	168	4	∈	∈	PROPN
ejpam-4366	168	5	br	br	NOUN
ejpam-4366	168	6	,	,	PUNCT
ejpam-4366	168	7	we	we	PRON
ejpam-4366	168	8	have	have	VERB
ejpam-4366	168	9	∥fx∥	∥fx∥	ADJ
ejpam-4366	169	1	=	=	PUNCT
ejpam-4366	169	2	sup	sup	NOUN
ejpam-4366	169	3	|fx	|fx	PROPN
ejpam-4366	169	4	(	(	PUNCT
ejpam-4366	169	5	t)|	t)|	NOUN
ejpam-4366	169	6	t∈[0,t	t∈[0,t	X
ejpam-4366	169	7	]	]	PUNCT
ejpam-4366	169	8	≤	≤	ADJ
ejpam-4366	169	9	≤	≤	NUM
ejpam-4366	169	10	∥∥n−1c	∥∥n−1c	NOUN
ejpam-4366	169	11	∥∥+	∥∥+	SYM
ejpam-4366	169	12	(	(	PUNCT
ejpam-4366	169	13	l	l	NOUN
ejpam-4366	169	14	(	(	PUNCT
ejpam-4366	169	15	1	1	NUM
ejpam-4366	169	16	+	+	NUM
ejpam-4366	169	17	t	t	PROPN
ejpam-4366	169	18	(	(	PUNCT
ejpam-4366	169	19	φ0	φ0	PROPN
ejpam-4366	169	20	+	+	CCONJ
ejpam-4366	169	21	ψ0	ψ0	ADJ
ejpam-4366	169	22	)	)	PUNCT
ejpam-4366	169	23	)	)	PUNCT
ejpam-4366	169	24	r	r	NOUN
ejpam-4366	169	25	+	+	NOUN
ejpam-4366	169	26	mf	mf	X
ejpam-4366	169	27	)	)	PUNCT
ejpam-4366	169	28	{	{	PUNCT
ejpam-4366	169	29	tα	tα	PROPN
ejpam-4366	169	30	γ	γ	X
ejpam-4366	169	31	(	(	PUNCT
ejpam-4366	169	32	α+	α+	PROPN
ejpam-4366	169	33	1	1	NUM
ejpam-4366	169	34	)	)	PUNCT
ejpam-4366	169	35	+	+	CCONJ
ejpam-4366	169	36	∥∥n−1	∥∥n−1	ADV
ejpam-4366	169	37	∥∥	∥∥	X
ejpam-4366	169	38	∥n∥tα+1	∥n∥tα+1	NUM
ejpam-4366	169	39	γ	γ	X
ejpam-4366	169	40	(	(	PUNCT
ejpam-4366	169	41	α+	α+	PROPN
ejpam-4366	169	42	2	2	NUM
ejpam-4366	169	43	)	)	PUNCT
ejpam-4366	169	44	}	}	PUNCT
ejpam-4366	169	45	≤	≤	NOUN
ejpam-4366	169	46	r	r	NOUN
ejpam-4366	169	47	,	,	PUNCT
ejpam-4366	169	48	which	which	PRON
ejpam-4366	169	49	implies	imply	VERB
ejpam-4366	169	50	that	that	SCONJ
ejpam-4366	169	51	fbr	fbr	PROPN
ejpam-4366	169	52	⊂	⊂	X
ejpam-4366	169	53	br	br	PROPN
ejpam-4366	169	54	.	.	PUNCT
ejpam-4366	170	1	next	next	ADV
ejpam-4366	170	2	,	,	PUNCT
ejpam-4366	170	3	for	for	ADP
ejpam-4366	170	4	x	x	X
ejpam-4366	170	5	,	,	PUNCT
ejpam-4366	170	6	y	y	PROPN
ejpam-4366	170	7	∈	∈	PROPN
ejpam-4366	170	8	c	c	X
ejpam-4366	170	9	(	(	PUNCT
ejpam-4366	170	10	[	[	X
ejpam-4366	170	11	0	0	NUM
ejpam-4366	170	12	,	,	PUNCT
ejpam-4366	170	13	t	t	X
ejpam-4366	170	14	]	]	PUNCT
ejpam-4366	170	15	;	;	PUNCT
ejpam-4366	170	16	rn	rn	X
ejpam-4366	170	17	)	)	PUNCT
ejpam-4366	170	18	and	and	CCONJ
ejpam-4366	170	19	for	for	ADP
ejpam-4366	170	20	each	each	DET
ejpam-4366	170	21	t	t	NOUN
ejpam-4366	170	22	∈	∈	PROPN
ejpam-4366	171	1	[	[	X
ejpam-4366	171	2	0	0	NUM
ejpam-4366	171	3	,	,	PUNCT
ejpam-4366	171	4	t	t	X
ejpam-4366	171	5	]	]	PUNCT
ejpam-4366	171	6	,	,	PUNCT
ejpam-4366	171	7	we	we	PRON
ejpam-4366	171	8	obtain	obtain	VERB
ejpam-4366	171	9	∥fx−	∥fx−	PROPN
ejpam-4366	171	10	fy∥	fy∥	PRON
ejpam-4366	171	11	≤	≤	ADJ
ejpam-4366	171	12	sup	sup	NOUN
ejpam-4366	172	1	[	[	X
ejpam-4366	172	2	0,t	0,t	X
ejpam-4366	172	3	]	]	PUNCT
ejpam-4366	172	4	1	1	NUM
ejpam-4366	172	5	γ	γ	X
ejpam-4366	172	6	(	(	PUNCT
ejpam-4366	172	7	α	α	NOUN
ejpam-4366	172	8	)	)	PUNCT
ejpam-4366	172	9	∫	∫	PROPN
ejpam-4366	172	10	t	t	PROPN
ejpam-4366	172	11	0	0	NUM
ejpam-4366	172	12	(	(	PUNCT
ejpam-4366	172	13	t−	t−	PROPN
ejpam-4366	172	14	s)α−1	s)α−1	PROPN
ejpam-4366	172	15	|f	|f	PROPN
ejpam-4366	172	16	(	(	PUNCT
ejpam-4366	172	17	s	s	X
ejpam-4366	172	18	,	,	PUNCT
ejpam-4366	172	19	x	x	X
ejpam-4366	172	20	(	(	PUNCT
ejpam-4366	172	21	s	s	NOUN
ejpam-4366	172	22	)	)	PUNCT
ejpam-4366	172	23	,	,	PUNCT
ejpam-4366	172	24	φx	φx	PROPN
ejpam-4366	172	25	(	(	PUNCT
ejpam-4366	172	26	s	s	NOUN
ejpam-4366	172	27	)	)	PUNCT
ejpam-4366	172	28	,	,	PUNCT
ejpam-4366	172	29	ψx	ψx	X
ejpam-4366	172	30	(	(	PUNCT
ejpam-4366	172	31	s	s	NOUN
ejpam-4366	172	32	)	)	PUNCT
ejpam-4366	172	33	)	)	PUNCT
ejpam-4366	173	1	−	−	PROPN
ejpam-4366	173	2	−f	−f	PROPN
ejpam-4366	173	3	(	(	PUNCT
ejpam-4366	173	4	s	s	PROPN
ejpam-4366	173	5	,	,	PUNCT
ejpam-4366	173	6	y	y	PROPN
ejpam-4366	173	7	(	(	PUNCT
ejpam-4366	173	8	s	s	PROPN
ejpam-4366	173	9	)	)	PUNCT
ejpam-4366	173	10	,	,	PUNCT
ejpam-4366	173	11	φy	φy	X
ejpam-4366	173	12	(	(	PUNCT
ejpam-4366	173	13	s	s	NOUN
ejpam-4366	173	14	)	)	PUNCT
ejpam-4366	173	15	,	,	PUNCT
ejpam-4366	173	16	ψy	ψy	PROPN
ejpam-4366	173	17	(	(	PUNCT
ejpam-4366	173	18	s))|	s))|	PROPN
ejpam-4366	173	19	ds+	ds+	NOUN
ejpam-4366	173	20	+	+	CCONJ
ejpam-4366	173	21	∥∥n−1	∥∥n−1	ADV
ejpam-4366	173	22	∥∥	∥∥	PRON
ejpam-4366	173	23	∥n∥	∥n∥	PROPN
ejpam-4366	173	24	γ	γ	X
ejpam-4366	173	25	(	(	PUNCT
ejpam-4366	173	26	α	α	NOUN
ejpam-4366	173	27	)	)	PUNCT
ejpam-4366	173	28	∫	∫	PROPN
ejpam-4366	173	29	t	t	PROPN
ejpam-4366	173	30	0	0	NUM
ejpam-4366	174	1	∫	∫	PROPN
ejpam-4366	174	2	t	t	PROPN
ejpam-4366	174	3	0	0	NUM
ejpam-4366	174	4	(	(	PUNCT
ejpam-4366	174	5	t−	t−	PROPN
ejpam-4366	174	6	s)α−1	s)α−1	PROPN
ejpam-4366	174	7	|f	|f	PROPN
ejpam-4366	174	8	(	(	PUNCT
ejpam-4366	174	9	s	s	X
ejpam-4366	174	10	,	,	PUNCT
ejpam-4366	174	11	x	x	X
ejpam-4366	174	12	(	(	PUNCT
ejpam-4366	174	13	s	s	NOUN
ejpam-4366	174	14	)	)	PUNCT
ejpam-4366	174	15	,	,	PUNCT
ejpam-4366	174	16	φx	φx	PROPN
ejpam-4366	174	17	(	(	PUNCT
ejpam-4366	174	18	s	s	NOUN
ejpam-4366	174	19	)	)	PUNCT
ejpam-4366	174	20	,	,	PUNCT
ejpam-4366	174	21	ψx	ψx	X
ejpam-4366	174	22	(	(	PUNCT
ejpam-4366	174	23	s))−	s))−	PROPN
ejpam-4366	174	24	f	f	PROPN
ejpam-4366	174	25	(	(	PUNCT
ejpam-4366	174	26	s	s	PROPN
ejpam-4366	174	27	,	,	PUNCT
ejpam-4366	174	28	y	y	PROPN
ejpam-4366	174	29	(	(	PUNCT
ejpam-4366	174	30	s	s	PROPN
ejpam-4366	174	31	)	)	PUNCT
ejpam-4366	174	32	,	,	PUNCT
ejpam-4366	174	33	φy	φy	X
ejpam-4366	174	34	(	(	PUNCT
ejpam-4366	174	35	s	s	NOUN
ejpam-4366	174	36	)	)	PUNCT
ejpam-4366	174	37	,	,	PUNCT
ejpam-4366	174	38	ψy	ψy	PROPN
ejpam-4366	174	39	(	(	PUNCT
ejpam-4366	174	40	s))|	s))|	NOUN
ejpam-4366	174	41	ds	ds	VERB
ejpam-4366	174	42	≤	≤	ADJ
ejpam-4366	174	43	≤	≤	NUM
ejpam-4366	174	44	l	l	NOUN
ejpam-4366	174	45	(	(	PUNCT
ejpam-4366	174	46	1	1	NUM
ejpam-4366	174	47	+	+	NUM
ejpam-4366	174	48	t	t	PROPN
ejpam-4366	174	49	(	(	PUNCT
ejpam-4366	174	50	φ0	φ0	PROPN
ejpam-4366	174	51	+	+	CCONJ
ejpam-4366	174	52	ψ0	ψ0	PROPN
ejpam-4366	174	53	)	)	PUNCT
ejpam-4366	174	54	)	)	PUNCT
ejpam-4366	174	55	{	{	PUNCT
ejpam-4366	174	56	tα	tα	PROPN
ejpam-4366	174	57	γ	γ	X
ejpam-4366	174	58	(	(	PUNCT
ejpam-4366	174	59	α+	α+	PROPN
ejpam-4366	174	60	1	1	NUM
ejpam-4366	174	61	)	)	PUNCT
ejpam-4366	174	62	+	+	CCONJ
ejpam-4366	174	63	∥∥n−1	∥∥n−1	ADV
ejpam-4366	174	64	∥∥	∥∥	X
ejpam-4366	174	65	∥n∥tα+1	∥n∥tα+1	NUM
ejpam-4366	174	66	γ	γ	X
ejpam-4366	174	67	(	(	PUNCT
ejpam-4366	174	68	α+	α+	NOUN
ejpam-4366	174	69	2	2	NUM
ejpam-4366	174	70	)	)	PUNCT
ejpam-4366	174	71	}	}	PUNCT
ejpam-4366	174	72	∥x−	∥x−	PROPN
ejpam-4366	174	73	y∥	y∥	NOUN
ejpam-4366	174	74	=	=	PUNCT
ejpam-4366	174	75	=	=	SYM
ejpam-4366	174	76	l	l	NOUN
ejpam-4366	174	77	(	(	PUNCT
ejpam-4366	174	78	1	1	NUM
ejpam-4366	174	79	+	+	NUM
ejpam-4366	174	80	t	t	PROPN
ejpam-4366	174	81	(	(	PUNCT
ejpam-4366	174	82	φ0	φ0	PROPN
ejpam-4366	174	83	+	+	CCONJ
ejpam-4366	174	84	ψ0	ψ0	ADJ
ejpam-4366	174	85	)	)	PUNCT
ejpam-4366	174	86	)	)	PUNCT
ejpam-4366	175	1	λ	λ	X
ejpam-4366	175	2	∥x−	∥x−	PROPN
ejpam-4366	175	3	y∥	y∥	NOUN
ejpam-4366	175	4	.	.	PUNCT
ejpam-4366	176	1	since	since	SCONJ
ejpam-4366	176	2	l	l	PROPN
ejpam-4366	176	3	(	(	PUNCT
ejpam-4366	176	4	1	1	NUM
ejpam-4366	176	5	+	+	NUM
ejpam-4366	176	6	t	t	PROPN
ejpam-4366	176	7	(	(	PUNCT
ejpam-4366	176	8	φ0	φ0	PROPN
ejpam-4366	176	9	+	+	CCONJ
ejpam-4366	176	10	ψ0	ψ0	ADJ
ejpam-4366	176	11	)	)	PUNCT
ejpam-4366	176	12	)	)	PUNCT
ejpam-4366	177	1	λ	λ	X
ejpam-4366	177	2	<	<	X
ejpam-4366	177	3	1	1	NUM
ejpam-4366	177	4	,	,	PUNCT
ejpam-4366	177	5	the	the	DET
ejpam-4366	177	6	operator	operator	NOUN
ejpam-4366	177	7	f	f	PROPN
ejpam-4366	177	8	is	be	AUX
ejpam-4366	177	9	a	a	DET
ejpam-4366	177	10	contraction	contraction	NOUN
ejpam-4366	177	11	.	.	PUNCT
ejpam-4366	178	1	by	by	ADP
ejpam-4366	178	2	banach	banach	NOUN
ejpam-4366	178	3	contraction	contraction	NOUN
ejpam-4366	178	4	mapping	mapping	NOUN
ejpam-4366	178	5	principle	principle	NOUN
ejpam-4366	178	6	the	the	DET
ejpam-4366	178	7	operator	operator	NOUN
ejpam-4366	178	8	f	f	PROPN
ejpam-4366	178	9	has	have	VERB
ejpam-4366	178	10	a	a	DET
ejpam-4366	178	11	unique	unique	ADJ
ejpam-4366	178	12	fixed	fix	VERB
ejpam-4366	178	13	point	point	NOUN
ejpam-4366	178	14	,	,	PUNCT
ejpam-4366	178	15	which	which	PRON
ejpam-4366	178	16	means	mean	VERB
ejpam-4366	178	17	that	that	SCONJ
ejpam-4366	178	18	the	the	DET
ejpam-4366	178	19	problems	problem	NOUN
ejpam-4366	178	20	(	(	PUNCT
ejpam-4366	178	21	1	1	NUM
ejpam-4366	178	22	)	)	PUNCT
ejpam-4366	178	23	and	and	CCONJ
ejpam-4366	178	24	(	(	PUNCT
ejpam-4366	178	25	2	2	X
ejpam-4366	178	26	)	)	PUNCT
ejpam-4366	178	27	has	have	VERB
ejpam-4366	178	28	a	a	DET
ejpam-4366	178	29	unique	unique	ADJ
ejpam-4366	178	30	solution	solution	NOUN
ejpam-4366	178	31	for	for	ADP
ejpam-4366	178	32	on	on	ADP
ejpam-4366	178	33	[	[	X
ejpam-4366	178	34	0	0	NUM
ejpam-4366	178	35	,	,	PUNCT
ejpam-4366	178	36	t	t	X
ejpam-4366	178	37	]	]	PUNCT
ejpam-4366	178	38	.	.	PUNCT
ejpam-4366	179	1	4	4	X
ejpam-4366	179	2	.	.	X
ejpam-4366	179	3	conclusion	conclusion	NOUN
ejpam-4366	179	4	in	in	ADP
ejpam-4366	179	5	the	the	DET
ejpam-4366	179	6	paper	paper	NOUN
ejpam-4366	179	7	a	a	DET
ejpam-4366	179	8	system	system	NOUN
ejpam-4366	179	9	of	of	ADP
ejpam-4366	179	10	fractional	fractional	ADJ
ejpam-4366	179	11	integro	integro	ADJ
ejpam-4366	179	12	-	-	PUNCT
ejpam-4366	179	13	differential	differential	NOUN
ejpam-4366	179	14	equations	equation	NOUN
ejpam-4366	179	15	with	with	ADP
ejpam-4366	179	16	nonlocal	nonlocal	ADJ
ejpam-4366	179	17	conditions	condition	NOUN
ejpam-4366	179	18	is	be	AUX
ejpam-4366	179	19	studied	study	VERB
ejpam-4366	179	20	.	.	PUNCT
ejpam-4366	180	1	at	at	ADP
ejpam-4366	180	2	first	first	ADV
ejpam-4366	180	3	the	the	DET
ejpam-4366	180	4	boundary	boundary	ADJ
ejpam-4366	180	5	value	value	NOUN
ejpam-4366	180	6	problem	problem	NOUN
ejpam-4366	180	7	is	be	AUX
ejpam-4366	180	8	reduced	reduce	VERB
ejpam-4366	180	9	to	to	ADP
ejpam-4366	180	10	the	the	DET
ejpam-4366	180	11	equivalent	equivalent	ADJ
ejpam-4366	180	12	integral	integral	ADJ
ejpam-4366	180	13	equation	equation	NOUN
ejpam-4366	180	14	.	.	PUNCT
ejpam-4366	181	1	then	then	ADV
ejpam-4366	181	2	,	,	PUNCT
ejpam-4366	181	3	using	use	VERB
ejpam-4366	181	4	the	the	DET
ejpam-4366	181	5	theorem	theorem	NOUN
ejpam-4366	181	6	on	on	ADP
ejpam-4366	181	7	fixed	fix	VERB
ejpam-4366	181	8	points	point	NOUN
ejpam-4366	181	9	,	,	PUNCT
ejpam-4366	181	10	the	the	DET
ejpam-4366	181	11	condition	condition	NOUN
ejpam-4366	181	12	on	on	ADP
ejpam-4366	181	13	the	the	DET
ejpam-4366	181	14	existence	existence	NOUN
ejpam-4366	181	15	and	and	CCONJ
ejpam-4366	181	16	uniqueness	uniqueness	NOUN
ejpam-4366	181	17	of	of	ADP
ejpam-4366	181	18	the	the	DET
ejpam-4366	181	19	solution	solution	NOUN
ejpam-4366	181	20	of	of	ADP
ejpam-4366	181	21	the	the	DET
ejpam-4366	181	22	boundary	boundary	ADJ
ejpam-4366	181	23	value	value	NOUN
ejpam-4366	181	24	problem	problem	NOUN
ejpam-4366	181	25	is	be	AUX
ejpam-4366	181	26	obtained	obtain	VERB
ejpam-4366	181	27	.	.	PUNCT
ejpam-4366	182	1	the	the	DET
ejpam-4366	182	2	technique	technique	NOUN
ejpam-4366	182	3	used	use	VERB
ejpam-4366	182	4	in	in	ADP
ejpam-4366	182	5	this	this	DET
ejpam-4366	182	6	research	research	NOUN
ejpam-4366	182	7	can	can	AUX
ejpam-4366	182	8	be	be	AUX
ejpam-4366	182	9	applied	apply	VERB
ejpam-4366	182	10	to	to	ADP
ejpam-4366	182	11	the	the	DET
ejpam-4366	182	12	similar	similar	ADJ
ejpam-4366	182	13	problems	problem	NOUN
ejpam-4366	182	14	for	for	ADP
ejpam-4366	182	15	fractional	fractional	ADJ
ejpam-4366	182	16	differential	differential	ADJ
ejpam-4366	182	17	equations	equation	NOUN
ejpam-4366	182	18	subject	subject	ADJ
ejpam-4366	182	19	to	to	ADP
ejpam-4366	182	20	multi	multi	ADJ
ejpam-4366	182	21	-	-	ADJ
ejpam-4366	182	22	point	point	ADJ
ejpam-4366	182	23	nonlocal	nonlocal	ADJ
ejpam-4366	182	24	conditions	condition	NOUN
ejpam-4366	182	25	ex	ex	X
ejpam-4366	182	26	(	(	PUNCT
ejpam-4366	182	27	0	0	NUM
ejpam-4366	182	28	)	)	PUNCT
ejpam-4366	183	1	+	+	CCONJ
ejpam-4366	183	2	j∑	j∑	PROPN
ejpam-4366	183	3	j=1	j=1	NOUN
ejpam-4366	183	4	bjx	bjx	ADV
ejpam-4366	183	5	(	(	PUNCT
ejpam-4366	183	6	λj	λj	NOUN
ejpam-4366	183	7	)	)	PUNCT
ejpam-4366	183	8	=	=	SYM
ejpam-4366	183	9	c	c	X
ejpam-4366	183	10	,	,	PUNCT
ejpam-4366	183	11	where	where	SCONJ
ejpam-4366	183	12	e	e	NOUN
ejpam-4366	183	13	is	be	AUX
ejpam-4366	183	14	a	a	DET
ejpam-4366	183	15	unit	unit	NOUN
ejpam-4366	183	16	matrix	matrix	NOUN
ejpam-4366	183	17	,	,	PUNCT
ejpam-4366	183	18	bj	bj	ADP
ejpam-4366	183	19	∈	∈	NOUN
ejpam-4366	183	20	rn×n	rn×n	NOUN
ejpam-4366	183	21	are	be	AUX
ejpam-4366	183	22	given	give	VERB
ejpam-4366	183	23	matrices	matrix	NOUN
ejpam-4366	183	24	and	and	CCONJ
ejpam-4366	183	25	j∑	j∑	PROPN
ejpam-4366	183	26	j=1	j=1	NOUN
ejpam-4366	183	27	∥bj∥	∥bj∥	X
ejpam-4366	184	1	<	<	X
ejpam-4366	184	2	1	1	NUM
ejpam-4366	184	3	,	,	PUNCT
ejpam-4366	184	4	0	0	PUNCT
ejpam-4366	184	5	<	<	X
ejpam-4366	184	6	λ1	λ1	X
ejpam-4366	184	7	<	<	X
ejpam-4366	184	8	λ2	λ2	NOUN
ejpam-4366	184	9	<	<	X
ejpam-4366	184	10	...	...	PUNCT
ejpam-4366	184	11	<	<	X
ejpam-4366	184	12	λj	λj	X
ejpam-4366	184	13	<	<	X
ejpam-4366	184	14	t.	t.	PROPN
ejpam-4366	184	15	references	reference	NOUN
ejpam-4366	184	16	733	733	NUM
ejpam-4366	184	17	references	reference	NOUN
ejpam-4366	184	18	[	[	X
ejpam-4366	184	19	1	1	NUM
ejpam-4366	184	20	]	]	PUNCT
ejpam-4366	184	21	b.	b.	PROPN
ejpam-4366	184	22	ahmad	ahmad	PROPN
ejpam-4366	184	23	,	,	PUNCT
ejpam-4366	184	24	s.	s.	PROPN
ejpam-4366	184	25	k.	k.	PROPN
ejpam-4366	184	26	ntouyas	ntouyas	PROPN
ejpam-4366	184	27	,	,	PUNCT
ejpam-4366	184	28	r.	r.	PROPN
ejpam-4366	184	29	agarwal	agarwal	PROPN
ejpam-4366	184	30	,	,	PUNCT
ejpam-4366	184	31	and	and	CCONJ
ejpam-4366	184	32	a.	a.	NOUN
ejpam-4366	184	33	alsaedi	alsaedi	PROPN
ejpam-4366	184	34	.	.	PUNCT
ejpam-4366	185	1	existence	existence	NOUN
ejpam-4366	185	2	results	result	VERB
ejpam-4366	185	3	for	for	ADP
ejpam-4366	185	4	sequential	sequential	ADJ
ejpam-4366	185	5	fractional	fractional	ADJ
ejpam-4366	185	6	integro	integro	ADJ
ejpam-4366	185	7	-	-	PUNCT
ejpam-4366	185	8	differential	differential	NOUN
ejpam-4366	185	9	equations	equation	NOUN
ejpam-4366	185	10	with	with	ADP
ejpam-4366	185	11	nonlocal	nonlocal	ADJ
ejpam-4366	185	12	multi	multi	ADJ
ejpam-4366	185	13	-	-	NOUN
ejpam-4366	185	14	point	point	NOUN
ejpam-4366	185	15	and	and	CCONJ
ejpam-4366	185	16	strip	strip	NOUN
ejpam-4366	185	17	conditions	condition	NOUN
ejpam-4366	185	18	.	.	PUNCT
ejpam-4366	186	1	boundary	boundary	ADJ
ejpam-4366	186	2	value	value	NOUN
ejpam-4366	186	3	problems	problem	NOUN
ejpam-4366	186	4	,	,	PUNCT
ejpam-4366	186	5	2016:205	2016:205	NUM
ejpam-4366	186	6	,	,	PUNCT
ejpam-4366	186	7	2016	2016	NUM
ejpam-4366	186	8	.	.	PUNCT
ejpam-4366	187	1	[	[	X
ejpam-4366	187	2	2	2	NUM
ejpam-4366	187	3	]	]	X
ejpam-4366	187	4	b.	b.	PROPN
ejpam-4366	187	5	ahmed	ahmed	PROPN
ejpam-4366	187	6	and	and	CCONJ
ejpam-4366	187	7	s.	s.	PROPN
ejpam-4366	187	8	sivasundaram	sivasundaram	PROPN
ejpam-4366	187	9	.	.	PUNCT
ejpam-4366	188	1	on	on	ADP
ejpam-4366	188	2	a	a	DET
ejpam-4366	188	3	four	four	NUM
ejpam-4366	188	4	-	-	PUNCT
ejpam-4366	188	5	point	point	NOUN
ejpam-4366	188	6	nonlocal	nonlocal	ADJ
ejpam-4366	188	7	boundary	boundary	ADJ
ejpam-4366	188	8	value	value	NOUN
ejpam-4366	188	9	problem	problem	NOUN
ejpam-4366	188	10	of	of	ADP
ejpam-4366	188	11	nonlinear	nonlinear	ADJ
ejpam-4366	188	12	integro	integro	ADJ
ejpam-4366	188	13	-	-	PUNCT
ejpam-4366	188	14	differential	differential	NOUN
ejpam-4366	188	15	equations	equation	NOUN
ejpam-4366	188	16	of	of	ADP
ejpam-4366	188	17	fractional	fractional	ADJ
ejpam-4366	188	18	order	order	NOUN
ejpam-4366	188	19	.	.	PUNCT
ejpam-4366	189	1	applied	apply	VERB
ejpam-4366	189	2	mathematics	mathematic	NOUN
ejpam-4366	189	3	and	and	CCONJ
ejpam-4366	189	4	computation	computation	NOUN
ejpam-4366	189	5	,	,	PUNCT
ejpam-4366	189	6	217:480–487	217:480–487	NUM
ejpam-4366	189	7	,	,	PUNCT
ejpam-4366	189	8	2010	2010	NUM
ejpam-4366	189	9	.	.	PUNCT
ejpam-4366	190	1	[	[	X
ejpam-4366	190	2	3	3	X
ejpam-4366	190	3	]	]	X
ejpam-4366	190	4	b.	b.	PROPN
ejpam-4366	190	5	ahmed	ahmed	PROPN
ejpam-4366	190	6	and	and	CCONJ
ejpam-4366	190	7	s.	s.	PROPN
ejpam-4366	190	8	sivasundaram	sivasundaram	PROPN
ejpam-4366	190	9	.	.	PUNCT
ejpam-4366	191	1	existence	existence	NOUN
ejpam-4366	191	2	of	of	ADP
ejpam-4366	191	3	solutions	solution	NOUN
ejpam-4366	191	4	for	for	ADP
ejpam-4366	191	5	nonlinear	nonlinear	ADJ
ejpam-4366	191	6	fractional	fractional	ADJ
ejpam-4366	191	7	integro	integro	ADJ
ejpam-4366	191	8	-	-	PUNCT
ejpam-4366	191	9	differential	differential	NOUN
ejpam-4366	191	10	equations	equation	NOUN
ejpam-4366	191	11	with	with	ADP
ejpam-4366	191	12	three	three	NUM
ejpam-4366	191	13	-	-	PUNCT
ejpam-4366	191	14	point	point	NOUN
ejpam-4366	191	15	nonlocal	nonlocal	ADJ
ejpam-4366	191	16	fractional	fractional	ADJ
ejpam-4366	191	17	boundary	boundary	ADJ
ejpam-4366	191	18	conditions	condition	NOUN
ejpam-4366	191	19	.	.	PUNCT
ejpam-4366	192	1	advances	advance	NOUN
ejpam-4366	192	2	in	in	ADP
ejpam-4366	192	3	difference	difference	NOUN
ejpam-4366	192	4	equations	equation	NOUN
ejpam-4366	192	5	,	,	PUNCT
ejpam-4366	192	6	2010	2010	NUM
ejpam-4366	192	7	:	:	PUNCT
ejpam-4366	192	8	article	article	NOUN
ejpam-4366	192	9	i	i	PROPN
ejpam-4366	192	10	d	d	PROPN
ejpam-4366	192	11	691721	691721	NUM
ejpam-4366	192	12	,	,	PUNCT
ejpam-4366	192	13	2020	2020	NUM
ejpam-4366	192	14	.	.	PUNCT
ejpam-4366	193	1	[	[	X
ejpam-4366	193	2	4	4	X
ejpam-4366	193	3	]	]	X
ejpam-4366	193	4	h.	h.	PROPN
ejpam-4366	193	5	alsulami	alsulami	PROPN
ejpam-4366	193	6	,	,	PUNCT
ejpam-4366	193	7	s.	s.	PROPN
ejpam-4366	193	8	k.	k.	PROPN
ejpam-4366	193	9	ntouyas	ntouyas	PROPN
ejpam-4366	193	10	,	,	PUNCT
ejpam-4366	193	11	r.	r.	PROPN
ejpam-4366	193	12	p.	p.	PROPN
ejpam-4366	193	13	agarwal	agarwal	PROPN
ejpam-4366	193	14	,	,	PUNCT
ejpam-4366	193	15	b.	b.	PROPN
ejpam-4366	193	16	ahmad	ahmad	PROPN
ejpam-4366	193	17	,	,	PUNCT
ejpam-4366	193	18	and	and	CCONJ
ejpam-4366	193	19	a.	a.	NOUN
ejpam-4366	193	20	alsaedi	alsaedi	PROPN
ejpam-4366	193	21	.	.	PUNCT
ejpam-4366	194	1	a	a	DET
ejpam-4366	194	2	study	study	NOUN
ejpam-4366	194	3	of	of	ADP
ejpam-4366	194	4	fractional	fractional	ADJ
ejpam-4366	194	5	-	-	PUNCT
ejpam-4366	194	6	order	order	NOUN
ejpam-4366	194	7	coupled	couple	VERB
ejpam-4366	194	8	systems	system	NOUN
ejpam-4366	194	9	with	with	ADP
ejpam-4366	194	10	a	a	DET
ejpam-4366	194	11	new	new	ADJ
ejpam-4366	194	12	concept	concept	NOUN
ejpam-4366	194	13	of	of	ADP
ejpam-4366	194	14	coupled	couple	VERB
ejpam-4366	194	15	non	non	ADJ
ejpam-4366	194	16	-	-	ADJ
ejpam-4366	194	17	separated	separate	VERB
ejpam-4366	194	18	boundary	boundary	ADJ
ejpam-4366	194	19	conditions	condition	NOUN
ejpam-4366	194	20	.	.	PUNCT
ejpam-4366	195	1	boundary	boundary	ADJ
ejpam-4366	195	2	value	value	NOUN
ejpam-4366	195	3	problems	problem	NOUN
ejpam-4366	195	4	,	,	PUNCT
ejpam-4366	195	5	68	68	NUM
ejpam-4366	195	6	,	,	PUNCT
ejpam-4366	195	7	2017	2017	NUM
ejpam-4366	195	8	.	.	PUNCT
ejpam-4366	196	1	[	[	X
ejpam-4366	196	2	5	5	NUM
ejpam-4366	196	3	]	]	PUNCT
ejpam-4366	196	4	a.	a.	NOUN
ejpam-4366	196	5	ashyralyev	ashyralyev	NOUN
ejpam-4366	196	6	and	and	CCONJ
ejpam-4366	196	7	y.	y.	PROPN
ejpam-4366	196	8	a.	a.	PROPN
ejpam-4366	196	9	sharifov	sharifov	PROPN
ejpam-4366	196	10	.	.	PUNCT
ejpam-4366	197	1	existence	existence	NOUN
ejpam-4366	197	2	and	and	CCONJ
ejpam-4366	197	3	uniqueness	uniqueness	NOUN
ejpam-4366	197	4	of	of	ADP
ejpam-4366	197	5	solutions	solution	NOUN
ejpam-4366	197	6	for	for	ADP
ejpam-4366	197	7	the	the	DET
ejpam-4366	197	8	system	system	NOUN
ejpam-4366	197	9	of	of	ADP
ejpam-4366	197	10	nonlinear	nonlinear	ADJ
ejpam-4366	197	11	fractional	fractional	ADJ
ejpam-4366	197	12	differential	differential	ADJ
ejpam-4366	197	13	equations	equation	NOUN
ejpam-4366	197	14	with	with	ADP
ejpam-4366	197	15	nonlocal	nonlocal	ADJ
ejpam-4366	197	16	and	and	CCONJ
ejpam-4366	197	17	integral	integral	ADJ
ejpam-4366	197	18	boundary	boundary	ADJ
ejpam-4366	197	19	conditions	condition	NOUN
ejpam-4366	197	20	.	.	PUNCT
ejpam-4366	198	1	advances	advance	NOUN
ejpam-4366	198	2	in	in	ADP
ejpam-4366	198	3	difference	difference	NOUN
ejpam-4366	198	4	equations	equation	NOUN
ejpam-4366	198	5	,	,	PUNCT
ejpam-4366	198	6	2012	2012	NUM
ejpam-4366	198	7	:	:	PUNCT
ejpam-4366	198	8	id	id	NUM
ejpam-4366	198	9	594802	594802	NUM
ejpam-4366	198	10	,	,	PUNCT
ejpam-4366	198	11	2012	2012	NUM
ejpam-4366	198	12	.	.	PUNCT
ejpam-4366	199	1	[	[	X
ejpam-4366	199	2	6	6	NUM
ejpam-4366	199	3	]	]	X
ejpam-4366	199	4	d.	d.	PROPN
ejpam-4366	199	5	baleanu	baleanu	PROPN
ejpam-4366	199	6	,	,	PUNCT
ejpam-4366	199	7	k.	k.	PROPN
ejpam-4366	199	8	ghafarnezhad	ghafarnezhad	VERB
ejpam-4366	199	9	,	,	PUNCT
ejpam-4366	199	10	and	and	CCONJ
ejpam-4366	199	11	s.	s.	PROPN
ejpam-4366	199	12	rezapour	rezapour	PROPN
ejpam-4366	199	13	.	.	PUNCT
ejpam-4366	200	1	on	on	ADP
ejpam-4366	200	2	a	a	DET
ejpam-4366	200	3	three	three	NUM
ejpam-4366	200	4	step	step	NOUN
ejpam-4366	200	5	crisis	crisis	NOUN
ejpam-4366	200	6	integrodifferential	integrodifferential	ADJ
ejpam-4366	200	7	equation	equation	NOUN
ejpam-4366	200	8	.	.	PUNCT
ejpam-4366	201	1	advances	advance	NOUN
ejpam-4366	201	2	in	in	ADP
ejpam-4366	201	3	difference	difference	NOUN
ejpam-4366	201	4	equations	equation	NOUN
ejpam-4366	201	5	,	,	PUNCT
ejpam-4366	201	6	1:153	1:153	NUM
ejpam-4366	201	7	,	,	PUNCT
ejpam-4366	201	8	2019	2019	NUM
ejpam-4366	201	9	.	.	PUNCT
ejpam-4366	202	1	[	[	X
ejpam-4366	202	2	7	7	X
ejpam-4366	202	3	]	]	X
ejpam-4366	202	4	d.	d.	PROPN
ejpam-4366	202	5	baleanu	baleanu	PROPN
ejpam-4366	202	6	,	,	PUNCT
ejpam-4366	202	7	g.	g.	PROPN
ejpam-4366	202	8	khadijeh	khadijeh	PROPN
ejpam-4366	202	9	,	,	PUNCT
ejpam-4366	202	10	r.	r.	PROPN
ejpam-4366	202	11	shahram	shahram	PROPN
ejpam-4366	202	12	,	,	PUNCT
ejpam-4366	202	13	and	and	CCONJ
ejpam-4366	202	14	s.	s.	PROPN
ejpam-4366	202	15	mehdi	mehdi	PROPN
ejpam-4366	202	16	.	.	PUNCT
ejpam-4366	203	1	on	on	ADP
ejpam-4366	203	2	the	the	DET
ejpam-4366	203	3	existence	existence	NOUN
ejpam-4366	203	4	of	of	ADP
ejpam-4366	203	5	solutions	solution	NOUN
ejpam-4366	203	6	of	of	ADP
ejpam-4366	203	7	a	a	DET
ejpam-4366	203	8	three	three	NUM
ejpam-4366	203	9	steps	step	NOUN
ejpam-4366	203	10	crisis	crisis	NOUN
ejpam-4366	203	11	integro	integro	NOUN
ejpam-4366	203	12	-	-	PUNCT
ejpam-4366	203	13	differential	differential	ADJ
ejpam-4366	203	14	,	,	PUNCT
ejpam-4366	203	15	equation	equation	NOUN
ejpam-4366	203	16	.	.	PUNCT
ejpam-4366	204	1	advances	advance	NOUN
ejpam-4366	204	2	in	in	ADP
ejpam-4366	204	3	difference	difference	NOUN
ejpam-4366	204	4	equations	equation	NOUN
ejpam-4366	204	5	,	,	PUNCT
ejpam-4366	204	6	1:135	1:135	NUM
ejpam-4366	204	7	,	,	PUNCT
ejpam-4366	204	8	2018	2018	NUM
ejpam-4366	204	9	.	.	PUNCT
ejpam-4366	205	1	[	[	X
ejpam-4366	205	2	8	8	NUM
ejpam-4366	205	3	]	]	X
ejpam-4366	205	4	d.	d.	PROPN
ejpam-4366	205	5	baleanu	baleanu	PROPN
ejpam-4366	205	6	,	,	PUNCT
ejpam-4366	205	7	s.	s.	PROPN
ejpam-4366	205	8	z.	z.	PROPN
ejpam-4366	205	9	nazeni	nazeni	PROPN
ejpam-4366	205	10	,	,	PUNCT
ejpam-4366	205	11	and	and	CCONJ
ejpam-4366	205	12	s.	s.	PROPN
ejpam-4366	205	13	rezapour	rezapour	PROPN
ejpam-4366	205	14	.	.	PUNCT
ejpam-4366	206	1	existence	existence	NOUN
ejpam-4366	206	2	and	and	CCONJ
ejpam-4366	206	3	uniqueness	uniqueness	NOUN
ejpam-4366	206	4	of	of	ADP
ejpam-4366	206	5	solutions	solution	NOUN
ejpam-4366	206	6	for	for	ADP
ejpam-4366	206	7	multi	multi	ADJ
ejpam-4366	206	8	-	-	ADJ
ejpam-4366	206	9	term	term	ADJ
ejpam-4366	206	10	nonlinear	nonlinear	ADJ
ejpam-4366	206	11	fractional	fractional	ADJ
ejpam-4366	206	12	integro	integro	ADJ
ejpam-4366	206	13	-	-	PUNCT
ejpam-4366	206	14	differential	differential	NOUN
ejpam-4366	206	15	equations	equation	NOUN
ejpam-4366	206	16	.	.	PUNCT
ejpam-4366	207	1	advances	advance	NOUN
ejpam-4366	207	2	in	in	ADP
ejpam-4366	207	3	difference	difference	NOUN
ejpam-4366	207	4	equations	equation	NOUN
ejpam-4366	207	5	,	,	PUNCT
ejpam-4366	207	6	2013:368	2013:368	NOUN
ejpam-4366	207	7	,	,	PUNCT
ejpam-4366	207	8	2013	2013	NUM
ejpam-4366	207	9	.	.	PUNCT
ejpam-4366	208	1	[	[	X
ejpam-4366	208	2	9	9	NUM
ejpam-4366	208	3	]	]	PUNCT
ejpam-4366	208	4	a.	a.	NOUN
ejpam-4366	208	5	bragdi	bragdi	PROPN
ejpam-4366	208	6	,	,	PUNCT
ejpam-4366	208	7	a.	a.	NOUN
ejpam-4366	208	8	frioui	frioui	PROPN
ejpam-4366	208	9	,	,	PUNCT
ejpam-4366	208	10	and	and	CCONJ
ejpam-4366	208	11	a.	a.	NOUN
ejpam-4366	208	12	g.	g.	PROPN
ejpam-4366	208	13	lakoud	lakoud	PROPN
ejpam-4366	208	14	.	.	PUNCT
ejpam-4366	209	1	existence	existence	NOUN
ejpam-4366	209	2	of	of	ADP
ejpam-4366	209	3	solutions	solution	NOUN
ejpam-4366	209	4	for	for	ADP
ejpam-4366	209	5	nonlinear	nonlinear	ADJ
ejpam-4366	209	6	fractional	fractional	ADJ
ejpam-4366	209	7	integro	integro	ADJ
ejpam-4366	209	8	-	-	PUNCT
ejpam-4366	209	9	differential	differential	NOUN
ejpam-4366	209	10	equations	equation	NOUN
ejpam-4366	209	11	.	.	PUNCT
ejpam-4366	210	1	advances	advance	NOUN
ejpam-4366	210	2	in	in	ADP
ejpam-4366	210	3	difference	difference	NOUN
ejpam-4366	210	4	equations	equation	NOUN
ejpam-4366	210	5	,	,	PUNCT
ejpam-4366	210	6	2020:418	2020:418	PROPN
ejpam-4366	210	7	,	,	PUNCT
ejpam-4366	210	8	2020	2020	NUM
ejpam-4366	210	9	.	.	PUNCT
ejpam-4366	211	1	[	[	X
ejpam-4366	211	2	10	10	NUM
ejpam-4366	211	3	]	]	PUNCT
ejpam-4366	211	4	k.	k.	PROPN
ejpam-4366	211	5	guida	guida	PROPN
ejpam-4366	211	6	,	,	PUNCT
ejpam-4366	211	7	k.	k.	PROPN
ejpam-4366	211	8	hilal	hilal	PROPN
ejpam-4366	211	9	,	,	PUNCT
ejpam-4366	211	10	and	and	CCONJ
ejpam-4366	211	11	l.	l.	PROPN
ejpam-4366	211	12	ibnelazyz	ibnelazyz	PROPN
ejpam-4366	211	13	.	.	PUNCT
ejpam-4366	212	1	existence	existence	NOUN
ejpam-4366	212	2	of	of	ADP
ejpam-4366	212	3	mild	mild	ADJ
ejpam-4366	212	4	solutions	solution	NOUN
ejpam-4366	212	5	for	for	ADP
ejpam-4366	212	6	a	a	DET
ejpam-4366	212	7	class	class	NOUN
ejpam-4366	212	8	of	of	ADP
ejpam-4366	212	9	impulsive	impulsive	ADJ
ejpam-4366	212	10	hilfer	hilfer	NOUN
ejpam-4366	212	11	fractional	fractional	ADJ
ejpam-4366	212	12	coupled	couple	VERB
ejpam-4366	212	13	systems	system	NOUN
ejpam-4366	212	14	.	.	PUNCT
ejpam-4366	213	1	advances	advance	NOUN
ejpam-4366	213	2	in	in	ADP
ejpam-4366	213	3	mathematical	mathematical	ADJ
ejpam-4366	213	4	physics	physics	NOUN
ejpam-4366	213	5	,	,	PUNCT
ejpam-4366	213	6	2020	2020	NUM
ejpam-4366	213	7	:	:	PUNCT
ejpam-4366	213	8	article	article	NOUN
ejpam-4366	213	9	i	i	PROPN
ejpam-4366	213	10	d	d	PROPN
ejpam-4366	213	11	8406509	8406509	NUM
ejpam-4366	213	12	,	,	PUNCT
ejpam-4366	213	13	2020	2020	NUM
ejpam-4366	213	14	.	.	PUNCT
ejpam-4366	214	1	[	[	X
ejpam-4366	214	2	11	11	NUM
ejpam-4366	214	3	]	]	PUNCT
ejpam-4366	214	4	k.	k.	PROPN
ejpam-4366	214	5	hilal	hilal	PROPN
ejpam-4366	214	6	,	,	PUNCT
ejpam-4366	214	7	k.	k.	PROPN
ejpam-4366	214	8	guida	guida	PROPN
ejpam-4366	214	9	,	,	PUNCT
ejpam-4366	214	10	l.	l.	PROPN
ejpam-4366	214	11	ibnelazyz	ibnelazyz	PROPN
ejpam-4366	214	12	,	,	PUNCT
ejpam-4366	214	13	and	and	CCONJ
ejpam-4366	214	14	m.	m.	NOUN
ejpam-4366	214	15	oukessou	oukessou	PROPN
ejpam-4366	214	16	.	.	PUNCT
ejpam-4366	215	1	existence	existence	NOUN
ejpam-4366	215	2	results	result	VERB
ejpam-4366	215	3	for	for	ADP
ejpam-4366	215	4	an	an	DET
ejpam-4366	215	5	impulsive	impulsive	ADJ
ejpam-4366	215	6	fractional	fractional	ADJ
ejpam-4366	215	7	integro	integro	ADJ
ejpam-4366	215	8	-	-	PUNCT
ejpam-4366	215	9	differential	differential	NOUN
ejpam-4366	215	10	equations	equation	NOUN
ejpam-4366	215	11	with	with	ADP
ejpam-4366	215	12	non	non	ADJ
ejpam-4366	215	13	-	-	ADJ
ejpam-4366	215	14	compact	compact	ADJ
ejpam-4366	215	15	semigroup	semigroup	NOUN
ejpam-4366	215	16	.	.	PUNCT
ejpam-4366	216	1	springer	springer	PROPN
ejpam-4366	216	2	nature	nature	PROPN
ejpam-4366	216	3	switzerland	switzerland	PROPN
ejpam-4366	216	4	ag	ag	PROPN
ejpam-4366	216	5	,	,	PUNCT
ejpam-4366	216	6	new	new	PROPN
ejpam-4366	216	7	york	york	PROPN
ejpam-4366	216	8	,	,	PUNCT
ejpam-4366	216	9	ny	ny	PROPN
ejpam-4366	216	10	,	,	PUNCT
ejpam-4366	216	11	usa	usa	PROPN
ejpam-4366	216	12	,	,	PUNCT
ejpam-4366	216	13	2019	2019	NUM
ejpam-4366	216	14	.	.	PUNCT
ejpam-4366	217	1	[	[	X
ejpam-4366	217	2	12	12	NUM
ejpam-4366	217	3	]	]	PUNCT
ejpam-4366	217	4	k.	k.	PROPN
ejpam-4366	217	5	hilal	hilal	PROPN
ejpam-4366	217	6	,	,	PUNCT
ejpam-4366	217	7	l.	l.	PROPN
ejpam-4366	217	8	ibnelazyz	ibnelazyz	PROPN
ejpam-4366	217	9	,	,	PUNCT
ejpam-4366	217	10	k.	k.	PROPN
ejpam-4366	217	11	guida	guida	PROPN
ejpam-4366	217	12	,	,	PUNCT
ejpam-4366	217	13	and	and	CCONJ
ejpam-4366	217	14	s.	s.	PROPN
ejpam-4366	217	15	melliani	melliani	PROPN
ejpam-4366	217	16	.	.	PUNCT
ejpam-4366	218	1	existence	existence	NOUN
ejpam-4366	218	2	of	of	ADP
ejpam-4366	218	3	mild	mild	ADJ
ejpam-4366	218	4	solutions	solution	NOUN
ejpam-4366	218	5	for	for	ADP
ejpam-4366	218	6	an	an	DET
ejpam-4366	218	7	impulsive	impulsive	ADJ
ejpam-4366	218	8	fractional	fractional	ADJ
ejpam-4366	218	9	integro	integro	ADJ
ejpam-4366	218	10	-	-	PUNCT
ejpam-4366	218	11	differential	differential	NOUN
ejpam-4366	218	12	equations	equation	NOUN
ejpam-4366	218	13	with	with	ADP
ejpam-4366	218	14	non	non	ADJ
ejpam-4366	218	15	-	-	ADJ
ejpam-4366	218	16	local	local	ADJ
ejpam-4366	218	17	condition	condition	NOUN
ejpam-4366	218	18	.	.	PUNCT
ejpam-4366	219	1	springer	springer	NOUN
ejpam-4366	219	2	nature	nature	PROPN
ejpam-4366	219	3	switzerland	switzerland	PROPN
ejpam-4366	219	4	ag	ag	PROPN
ejpam-4366	219	5	,	,	PUNCT
ejpam-4366	219	6	new	new	PROPN
ejpam-4366	219	7	york	york	PROPN
ejpam-4366	219	8	,	,	PUNCT
ejpam-4366	219	9	ny	ny	PROPN
ejpam-4366	219	10	,	,	PUNCT
ejpam-4366	219	11	usa	usa	PROPN
ejpam-4366	219	12	,	,	PUNCT
ejpam-4366	219	13	2019	2019	NUM
ejpam-4366	219	14	.	.	PUNCT
ejpam-4366	220	1	references	reference	NOUN
ejpam-4366	220	2	734	734	NUM
ejpam-4366	221	1	[	[	X
ejpam-4366	221	2	13	13	NUM
ejpam-4366	221	3	]	]	PUNCT
ejpam-4366	221	4	k.	k.	PROPN
ejpam-4366	221	5	hilal	hilal	PROPN
ejpam-4366	221	6	,	,	PUNCT
ejpam-4366	221	7	l.	l.	PROPN
ejpam-4366	221	8	ibnelazyz	ibnelazyz	PROPN
ejpam-4366	221	9	,	,	PUNCT
ejpam-4366	221	10	k.	k.	PROPN
ejpam-4366	221	11	guida	guida	PROPN
ejpam-4366	221	12	,	,	PUNCT
ejpam-4366	221	13	and	and	CCONJ
ejpam-4366	221	14	s.	s.	PROPN
ejpam-4366	221	15	melliani	melliani	PROPN
ejpam-4366	221	16	.	.	PUNCT
ejpam-4366	222	1	fractional	fractional	ADJ
ejpam-4366	222	2	langevin	langevin	PROPN
ejpam-4366	222	3	equations	equation	NOUN
ejpam-4366	222	4	with	with	ADP
ejpam-4366	222	5	non	non	ADJ
ejpam-4366	222	6	-	-	ADJ
ejpam-4366	222	7	separated	separated	ADJ
ejpam-4366	222	8	integral	integral	ADJ
ejpam-4366	222	9	boundary	boundary	ADJ
ejpam-4366	222	10	conditions	condition	NOUN
ejpam-4366	222	11	.	.	PUNCT
ejpam-4366	223	1	advances	advance	NOUN
ejpam-4366	223	2	in	in	ADP
ejpam-4366	223	3	mathematical	mathematical	ADJ
ejpam-4366	223	4	physics	physics	NOUN
ejpam-4366	223	5	,	,	PUNCT
ejpam-4366	223	6	2020	2020	NUM
ejpam-4366	223	7	:	:	PUNCT
ejpam-4366	223	8	article	article	NOUN
ejpam-4366	223	9	i	i	PROPN
ejpam-4366	223	10	d	d	PROPN
ejpam-4366	223	11	3173764	3173764	NUM
ejpam-4366	223	12	,	,	PUNCT
ejpam-4366	223	13	2020	2020	NUM
ejpam-4366	223	14	.	.	PUNCT
ejpam-4366	224	1	[	[	X
ejpam-4366	224	2	14	14	NUM
ejpam-4366	224	3	]	]	X
ejpam-4366	224	4	r.	r.	NOUN
ejpam-4366	224	5	hilfer	hilfer	PROPN
ejpam-4366	224	6	.	.	PUNCT
ejpam-4366	225	1	applications	application	NOUN
ejpam-4366	225	2	of	of	ADP
ejpam-4366	225	3	fractional	fractional	ADJ
ejpam-4366	225	4	calculs	calcul	NOUN
ejpam-4366	225	5	in	in	ADP
ejpam-4366	225	6	physics	physics	PROPN
ejpam-4366	225	7	.	.	PUNCT
ejpam-4366	226	1	world	world	PROPN
ejpam-4366	226	2	scientific	scientific	PROPN
ejpam-4366	226	3	,	,	PUNCT
ejpam-4366	226	4	singapore	singapore	PROPN
ejpam-4366	226	5	,	,	PUNCT
ejpam-4366	226	6	2000	2000	NUM
ejpam-4366	226	7	.	.	PUNCT
ejpam-4366	227	1	[	[	X
ejpam-4366	227	2	15	15	NUM
ejpam-4366	227	3	]	]	X
ejpam-4366	227	4	l.	l.	PROPN
ejpam-4366	227	5	ibnelazyz	ibnelazyz	PROPN
ejpam-4366	227	6	,	,	PUNCT
ejpam-4366	227	7	k.	k.	PROPN
ejpam-4366	227	8	guida	guida	PROPN
ejpam-4366	227	9	,	,	PUNCT
ejpam-4366	227	10	k.	k.	PROPN
ejpam-4366	227	11	hilal	hilal	PROPN
ejpam-4366	227	12	,	,	PUNCT
ejpam-4366	227	13	and	and	CCONJ
ejpam-4366	227	14	s.	s.	PROPN
ejpam-4366	227	15	melliani	melliani	PROPN
ejpam-4366	227	16	.	.	PUNCT
ejpam-4366	228	1	existence	existence	NOUN
ejpam-4366	228	2	of	of	ADP
ejpam-4366	228	3	solution	solution	NOUN
ejpam-4366	228	4	for	for	ADP
ejpam-4366	228	5	a	a	DET
ejpam-4366	228	6	fractional	fractional	ADJ
ejpam-4366	228	7	langevin	langevin	NOUN
ejpam-4366	228	8	system	system	NOUN
ejpam-4366	228	9	with	with	ADP
ejpam-4366	228	10	nonseparated	nonseparated	ADJ
ejpam-4366	228	11	integral	integral	ADJ
ejpam-4366	228	12	boundary	boundary	ADJ
ejpam-4366	228	13	conditions	condition	NOUN
ejpam-4366	228	14	.	.	PUNCT
ejpam-4366	229	1	journal	journal	NOUN
ejpam-4366	229	2	of	of	ADP
ejpam-4366	229	3	mathematics	mathematic	NOUN
ejpam-4366	229	4	,	,	PUNCT
ejpam-4366	229	5	2021	2021	NUM
ejpam-4366	229	6	:	:	PUNCT
ejpam-4366	229	7	article	article	NOUN
ejpam-4366	229	8	i	i	PROPN
ejpam-4366	229	9	d	d	PROPN
ejpam-4366	229	10	3482153	3482153	NUM
ejpam-4366	229	11	,	,	PUNCT
ejpam-4366	229	12	2021	2021	NUM
ejpam-4366	229	13	.	.	PUNCT
ejpam-4366	230	1	[	[	X
ejpam-4366	230	2	16	16	NUM
ejpam-4366	230	3	]	]	X
ejpam-4366	230	4	l.	l.	PROPN
ejpam-4366	230	5	ibnelazyz	ibnelazyz	PROPN
ejpam-4366	230	6	,	,	PUNCT
ejpam-4366	230	7	k.	k.	PROPN
ejpam-4366	230	8	guida	guida	PROPN
ejpam-4366	230	9	,	,	PUNCT
ejpam-4366	230	10	k.	k.	PROPN
ejpam-4366	230	11	hilal	hilal	PROPN
ejpam-4366	230	12	,	,	PUNCT
ejpam-4366	230	13	and	and	CCONJ
ejpam-4366	230	14	s.	s.	PROPN
ejpam-4366	230	15	melliani	melliani	PROPN
ejpam-4366	230	16	.	.	PUNCT
ejpam-4366	231	1	existence	existence	NOUN
ejpam-4366	231	2	results	result	VERB
ejpam-4366	231	3	for	for	ADP
ejpam-4366	231	4	nonlinear	nonlinear	ADJ
ejpam-4366	231	5	fractional	fractional	ADJ
ejpam-4366	231	6	integro	integro	ADJ
ejpam-4366	231	7	-	-	PUNCT
ejpam-4366	231	8	differential	differential	NOUN
ejpam-4366	231	9	equations	equation	NOUN
ejpam-4366	231	10	with	with	ADP
ejpam-4366	231	11	integral	integral	ADJ
ejpam-4366	231	12	and	and	CCONJ
ejpam-4366	231	13	antiperiodic	antiperiodic	ADJ
ejpam-4366	231	14	boundary	boundary	ADJ
ejpam-4366	231	15	conditions	condition	NOUN
ejpam-4366	231	16	.	.	PUNCT
ejpam-4366	232	1	computational	computational	ADJ
ejpam-4366	232	2	and	and	CCONJ
ejpam-4366	232	3	applied	applied	ADJ
ejpam-4366	232	4	mathematics	mathematic	NOUN
ejpam-4366	232	5	,	,	PUNCT
ejpam-4366	232	6	40:33	40:33	NUM
ejpam-4366	232	7	,	,	PUNCT
ejpam-4366	232	8	2021	2021	NUM
ejpam-4366	232	9	.	.	PUNCT
ejpam-4366	233	1	[	[	X
ejpam-4366	233	2	17	17	NUM
ejpam-4366	233	3	]	]	X
ejpam-4366	233	4	l.	l.	PROPN
ejpam-4366	233	5	ibnelazyz	ibnelazyz	PROPN
ejpam-4366	233	6	,	,	PUNCT
ejpam-4366	233	7	k.	k.	PROPN
ejpam-4366	233	8	guida	guida	PROPN
ejpam-4366	233	9	,	,	PUNCT
ejpam-4366	233	10	k.	k.	PROPN
ejpam-4366	233	11	hilal	hilal	PROPN
ejpam-4366	233	12	,	,	PUNCT
ejpam-4366	233	13	and	and	CCONJ
ejpam-4366	233	14	s.	s.	PROPN
ejpam-4366	233	15	melliani	melliani	PROPN
ejpam-4366	233	16	.	.	PUNCT
ejpam-4366	234	1	new	new	ADJ
ejpam-4366	234	2	existence	existence	NOUN
ejpam-4366	234	3	results	result	VERB
ejpam-4366	234	4	for	for	ADP
ejpam-4366	234	5	nonlinear	nonlinear	ADJ
ejpam-4366	234	6	fractional	fractional	ADJ
ejpam-4366	234	7	integro	integro	ADJ
ejpam-4366	234	8	-	-	PUNCT
ejpam-4366	234	9	differential	differential	NOUN
ejpam-4366	234	10	equations	equation	NOUN
ejpam-4366	234	11	.	.	PUNCT
ejpam-4366	235	1	advances	advance	NOUN
ejpam-4366	235	2	in	in	ADP
ejpam-4366	235	3	mathematical	mathematical	ADJ
ejpam-4366	235	4	physics	physics	NOUN
ejpam-4366	235	5	,	,	PUNCT
ejpam-4366	235	6	2021	2021	NUM
ejpam-4366	235	7	:	:	PUNCT
ejpam-4366	235	8	article	article	NOUN
ejpam-4366	235	9	i	i	PROPN
ejpam-4366	235	10	d	d	PROPN
ejpam-4366	235	11	5525591	5525591	NUM
ejpam-4366	235	12	,	,	PUNCT
ejpam-4366	235	13	2021	2021	NUM
ejpam-4366	235	14	.	.	PUNCT
ejpam-4366	236	1	[	[	X
ejpam-4366	236	2	18	18	NUM
ejpam-4366	236	3	]	]	X
ejpam-4366	236	4	l.	l.	PROPN
ejpam-4366	236	5	ibnelazyz	ibnelazyz	PROPN
ejpam-4366	236	6	,	,	PUNCT
ejpam-4366	236	7	k.	k.	PROPN
ejpam-4366	236	8	guida	guida	PROPN
ejpam-4366	236	9	,	,	PUNCT
ejpam-4366	236	10	s.	s.	PROPN
ejpam-4366	236	11	melliani	melliani	PROPN
ejpam-4366	236	12	,	,	PUNCT
ejpam-4366	236	13	and	and	CCONJ
ejpam-4366	236	14	k.	k.	PROPN
ejpam-4366	236	15	hilal	hilal	PROPN
ejpam-4366	236	16	.	.	PUNCT
ejpam-4366	237	1	on	on	ADP
ejpam-4366	237	2	a	a	DET
ejpam-4366	237	3	nonlocal	nonlocal	ADJ
ejpam-4366	237	4	multipoint	multipoint	NOUN
ejpam-4366	237	5	and	and	CCONJ
ejpam-4366	237	6	integral	integral	ADJ
ejpam-4366	237	7	boundary	boundary	ADJ
ejpam-4366	237	8	value	value	NOUN
ejpam-4366	237	9	problem	problem	NOUN
ejpam-4366	237	10	of	of	ADP
ejpam-4366	237	11	nonlinear	nonlinear	ADJ
ejpam-4366	237	12	fractional	fractional	ADJ
ejpam-4366	237	13	integro	integro	ADJ
ejpam-4366	237	14	-	-	PUNCT
ejpam-4366	237	15	differential	differential	NOUN
ejpam-4366	237	16	equations	equation	NOUN
ejpam-4366	237	17	.	.	PUNCT
ejpam-4366	238	1	journal	journal	NOUN
ejpam-4366	238	2	of	of	ADP
ejpam-4366	238	3	function	function	NOUN
ejpam-4366	238	4	spaces	space	NOUN
ejpam-4366	238	5	,	,	PUNCT
ejpam-4366	238	6	2020	2020	NUM
ejpam-4366	238	7	:	:	PUNCT
ejpam-4366	238	8	article	article	NOUN
ejpam-4366	238	9	i	i	PROPN
ejpam-4366	238	10	d	d	PROPN
ejpam-4366	238	11	8891736	8891736	NUM
ejpam-4366	238	12	,	,	PUNCT
ejpam-4366	238	13	2020	2020	NUM
ejpam-4366	238	14	.	.	PUNCT
ejpam-4366	239	1	[	[	X
ejpam-4366	239	2	19	19	NUM
ejpam-4366	239	3	]	]	PUNCT
ejpam-4366	239	4	a.	a.	NOUN
ejpam-4366	239	5	a.	a.	NOUN
ejpam-4366	239	6	kilbas	kilbas	PROPN
ejpam-4366	239	7	,	,	PUNCT
ejpam-4366	239	8	h.	h.	PROPN
ejpam-4366	239	9	m.	m.	PROPN
ejpam-4366	239	10	srivastava	srivastava	PROPN
ejpam-4366	239	11	,	,	PUNCT
ejpam-4366	239	12	and	and	CCONJ
ejpam-4366	239	13	j.	j.	PROPN
ejpam-4366	239	14	j.	j.	PROPN
ejpam-4366	239	15	trujillo	trujillo	PROPN
ejpam-4366	239	16	.	.	PUNCT
ejpam-4366	239	17	theory	theory	NOUN
ejpam-4366	239	18	and	and	CCONJ
ejpam-4366	239	19	applications	application	NOUN
ejpam-4366	239	20	of	of	ADP
ejpam-4366	239	21	fractional	fractional	ADJ
ejpam-4366	239	22	differential	differential	ADJ
ejpam-4366	239	23	equations	equation	NOUN
ejpam-4366	239	24	.	.	PUNCT
ejpam-4366	240	1	north	north	NOUN
ejpam-4366	240	2	holland	holland	PROPN
ejpam-4366	240	3	mathematics	mathematics	PROPN
ejpam-4366	240	4	studies	study	NOUN
ejpam-4366	240	5	,	,	PUNCT
ejpam-4366	240	6	elsevier	elsevier	NOUN
ejpam-4366	240	7	,	,	PUNCT
ejpam-4366	240	8	amsterdam	amsterdam	PROPN
ejpam-4366	240	9	,	,	PUNCT
ejpam-4366	240	10	netherlands	netherlands	PROPN
ejpam-4366	240	11	,	,	PUNCT
ejpam-4366	240	12	2006	2006	NUM
ejpam-4366	240	13	.	.	PUNCT
ejpam-4366	241	1	[	[	X
ejpam-4366	241	2	20	20	NUM
ejpam-4366	241	3	]	]	X
ejpam-4366	241	4	v.	v.	ADP
ejpam-4366	241	5	lakshmikantham	lakshmikantham	ADJ
ejpam-4366	241	6	.	.	PUNCT
ejpam-4366	242	1	theory	theory	NOUN
ejpam-4366	242	2	of	of	ADP
ejpam-4366	242	3	fractional	fractional	ADJ
ejpam-4366	242	4	functional	functional	ADJ
ejpam-4366	242	5	differential	differential	NOUN
ejpam-4366	242	6	equations	equation	NOUN
ejpam-4366	242	7	.	.	PUNCT
ejpam-4366	243	1	nonlinear	nonlinear	ADJ
ejpam-4366	243	2	analysis	analysis	NOUN
ejpam-4366	243	3	,	,	PUNCT
ejpam-4366	243	4	69(10):3337–3343	69(10):3337–3343	NOUN
ejpam-4366	243	5	,	,	PUNCT
ejpam-4366	243	6	2007	2007	NUM
ejpam-4366	243	7	.	.	PUNCT
ejpam-4366	244	1	[	[	X
ejpam-4366	244	2	21	21	NUM
ejpam-4366	244	3	]	]	X
ejpam-4366	244	4	v.	v.	CCONJ
ejpam-4366	244	5	lakshmikantham	lakshmikantham	NOUN
ejpam-4366	244	6	and	and	CCONJ
ejpam-4366	244	7	a.	a.	PROPN
ejpam-4366	244	8	s.	s.	PROPN
ejpam-4366	244	9	vatsala	vatsala	PROPN
ejpam-4366	244	10	.	.	PUNCT
ejpam-4366	245	1	basic	basic	ADJ
ejpam-4366	245	2	theory	theory	NOUN
ejpam-4366	245	3	of	of	ADP
ejpam-4366	245	4	fractional	fractional	ADJ
ejpam-4366	245	5	differential	differential	ADJ
ejpam-4366	245	6	equations	equation	NOUN
ejpam-4366	245	7	.	.	PUNCT
ejpam-4366	246	1	nonlinear	nonlinear	ADJ
ejpam-4366	246	2	analysis	analysis	NOUN
ejpam-4366	246	3	,	,	PUNCT
ejpam-4366	246	4	69(8):2677–2682	69(8):2677–2682	ADP
ejpam-4366	246	5	,	,	PUNCT
ejpam-4366	246	6	2007	2007	NUM
ejpam-4366	246	7	.	.	PUNCT
ejpam-4366	247	1	[	[	X
ejpam-4366	247	2	22	22	NUM
ejpam-4366	247	3	]	]	PUNCT
ejpam-4366	247	4	x.	x.	NOUN
ejpam-4366	247	5	liu	liu	PROPN
ejpam-4366	247	6	and	and	CCONJ
ejpam-4366	247	7	y.	y.	PROPN
ejpam-4366	247	8	liu	liu	PROPN
ejpam-4366	247	9	.	.	PUNCT
ejpam-4366	248	1	fractional	fractional	ADJ
ejpam-4366	248	2	differential	differential	ADJ
ejpam-4366	248	3	equations	equation	NOUN
ejpam-4366	248	4	with	with	ADP
ejpam-4366	248	5	fractional	fractional	ADJ
ejpam-4366	248	6	non	non	ADJ
ejpam-4366	248	7	-	-	ADJ
ejpam-4366	248	8	separated	separate	VERB
ejpam-4366	248	9	boundary	boundary	ADJ
ejpam-4366	248	10	conditions	condition	NOUN
ejpam-4366	248	11	.	.	PUNCT
ejpam-4366	249	1	electronic	electronic	ADJ
ejpam-4366	249	2	journal	journal	NOUN
ejpam-4366	249	3	of	of	ADP
ejpam-4366	249	4	differential	differential	ADJ
ejpam-4366	249	5	equations	equation	NOUN
ejpam-4366	249	6	,	,	PUNCT
ejpam-4366	249	7	25(10):1	25(10):1	NOUN
ejpam-4366	249	8	,	,	PUNCT
ejpam-4366	249	9	2013	2013	NUM
ejpam-4366	249	10	.	.	PUNCT
ejpam-4366	250	1	[	[	X
ejpam-4366	250	2	23	23	NUM
ejpam-4366	250	3	]	]	X
ejpam-4366	250	4	d.	d.	PROPN
ejpam-4366	250	5	luo	luo	PROPN
ejpam-4366	250	6	,	,	PUNCT
ejpam-4366	250	7	ak	ak	PROPN
ejpam-4366	250	8	.	.	PROPN
ejpam-4366	250	9	zada	zada	PROPN
ejpam-4366	250	10	,	,	PUNCT
ejpam-4366	250	11	sh	sh	PROPN
ejpam-4366	250	12	.	.	PROPN
ejpam-4366	250	13	shaleena	shaleena	PROPN
ejpam-4366	250	14	,	,	PUNCT
ejpam-4366	250	15	and	and	CCONJ
ejpam-4366	250	16	m.	m.	PROPN
ejpam-4366	250	17	ahmad	ahmad	PROPN
ejpam-4366	250	18	.	.	PUNCT
ejpam-4366	251	1	analysis	analysis	NOUN
ejpam-4366	251	2	of	of	ADP
ejpam-4366	251	3	a	a	DET
ejpam-4366	251	4	coupled	couple	VERB
ejpam-4366	251	5	system	system	NOUN
ejpam-4366	251	6	of	of	ADP
ejpam-4366	251	7	fractional	fractional	ADJ
ejpam-4366	251	8	differential	differential	ADJ
ejpam-4366	251	9	equations	equation	NOUN
ejpam-4366	251	10	with	with	ADP
ejpam-4366	251	11	nonseparated	nonseparated	ADJ
ejpam-4366	251	12	boundary	boundary	ADJ
ejpam-4366	251	13	conditions	condition	NOUN
ejpam-4366	251	14	.	.	PUNCT
ejpam-4366	252	1	advances	advance	NOUN
ejpam-4366	252	2	in	in	ADP
ejpam-4366	252	3	difference	difference	NOUN
ejpam-4366	252	4	equation	equation	NOUN
ejpam-4366	252	5	,	,	PUNCT
ejpam-4366	252	6	2020:590	2020:590	NUM
ejpam-4366	252	7	,	,	PUNCT
ejpam-4366	252	8	2020	2020	NUM
ejpam-4366	252	9	.	.	PUNCT
ejpam-4366	253	1	[	[	X
ejpam-4366	253	2	24	24	NUM
ejpam-4366	253	3	]	]	X
ejpam-4366	253	4	m.j	m.j	PROPN
ejpam-4366	253	5	.	.	PROPN
ejpam-4366	253	6	mardanov	mardanov	PROPN
ejpam-4366	253	7	,	,	PUNCT
ejpam-4366	253	8	y.a	y.a	PROPN
ejpam-4366	253	9	.	.	PROPN
ejpam-4366	253	10	sharifov	sharifov	PROPN
ejpam-4366	253	11	,	,	PUNCT
ejpam-4366	253	12	k.e	k.e	PROPN
ejpam-4366	253	13	.	.	PROPN
ejpam-4366	253	14	ismayilova	ismayilova	PROPN
ejpam-4366	253	15	,	,	PUNCT
ejpam-4366	253	16	and	and	CCONJ
ejpam-4366	253	17	s.a.zamanova	s.a.zamanova	PROPN
ejpam-4366	253	18	.	.	PUNCT
ejpam-4366	254	1	existence	existence	NOUN
ejpam-4366	254	2	and	and	CCONJ
ejpam-4366	254	3	uniqueness	uniqueness	NOUN
ejpam-4366	254	4	of	of	ADP
ejpam-4366	254	5	solutions	solution	NOUN
ejpam-4366	254	6	for	for	ADP
ejpam-4366	254	7	the	the	DET
ejpam-4366	254	8	system	system	NOUN
ejpam-4366	254	9	of	of	ADP
ejpam-4366	254	10	first	first	ADJ
ejpam-4366	254	11	-	-	PUNCT
ejpam-4366	254	12	order	order	NOUN
ejpam-4366	254	13	nonlinear	nonlinear	ADJ
ejpam-4366	254	14	differential	differential	ADJ
ejpam-4366	254	15	equations	equation	NOUN
ejpam-4366	254	16	with	with	ADP
ejpam-4366	254	17	three	three	NUM
ejpam-4366	254	18	-	-	PUNCT
ejpam-4366	254	19	point	point	NOUN
ejpam-4366	254	20	and	and	CCONJ
ejpam-4366	254	21	integral	integral	ADJ
ejpam-4366	254	22	boundary	boundary	ADJ
ejpam-4366	254	23	conditions	condition	NOUN
ejpam-4366	254	24	.	.	PUNCT
ejpam-4366	255	1	european	european	ADJ
ejpam-4366	255	2	journal	journal	PROPN
ejpam-4366	255	3	of	of	ADP
ejpam-4366	255	4	pure	pure	ADJ
ejpam-4366	255	5	and	and	CCONJ
ejpam-4366	255	6	applied	applied	ADJ
ejpam-4366	255	7	mathematics	mathematic	NOUN
ejpam-4366	255	8	,	,	PUNCT
ejpam-4366	255	9	12(3):756–770	12(3):756–770	PROPN
ejpam-4366	255	10	,	,	PUNCT
ejpam-4366	255	11	2019	2019	NUM
ejpam-4366	255	12	.	.	PUNCT
ejpam-4366	256	1	[	[	X
ejpam-4366	256	2	25	25	NUM
ejpam-4366	256	3	]	]	X
ejpam-4366	256	4	k.s	k.s	PROPN
ejpam-4366	256	5	.	.	PROPN
ejpam-4366	256	6	miller	miller	PROPN
ejpam-4366	256	7	and	and	CCONJ
ejpam-4366	256	8	b.	b.	PROPN
ejpam-4366	256	9	ross	ross	PROPN
ejpam-4366	256	10	.	.	PUNCT
ejpam-4366	257	1	an	an	DET
ejpam-4366	257	2	introduction	introduction	NOUN
ejpam-4366	257	3	to	to	ADP
ejpam-4366	257	4	the	the	DET
ejpam-4366	257	5	fractional	fractional	ADJ
ejpam-4366	257	6	calculus	calculus	NOUN
ejpam-4366	257	7	and	and	CCONJ
ejpam-4366	257	8	fractional	fractional	ADJ
ejpam-4366	257	9	differential	differential	ADJ
ejpam-4366	257	10	equations	equation	NOUN
ejpam-4366	257	11	.	.	PUNCT
ejpam-4366	258	1	wiley	wiley	PROPN
ejpam-4366	258	2	,	,	PUNCT
ejpam-4366	258	3	new	new	PROPN
ejpam-4366	258	4	york	york	PROPN
ejpam-4366	258	5	,	,	PUNCT
ejpam-4366	258	6	ny	ny	PROPN
ejpam-4366	258	7	,	,	PUNCT
ejpam-4366	258	8	usa	usa	PROPN
ejpam-4366	258	9	,	,	PUNCT
ejpam-4366	258	10	1993	1993	NUM
ejpam-4366	258	11	.	.	PUNCT
ejpam-4366	259	1	references	reference	NOUN
ejpam-4366	259	2	735	735	NUM
ejpam-4366	259	3	[	[	SYM
ejpam-4366	259	4	26	26	NUM
ejpam-4366	259	5	]	]	X
ejpam-4366	259	6	m.j.mardanov	m.j.mardanov	PROPN
ejpam-4366	259	7	,	,	PUNCT
ejpam-4366	259	8	y.a	y.a	PROPN
ejpam-4366	259	9	.	.	PROPN
ejpam-4366	259	10	sharifov	sharifov	PROPN
ejpam-4366	259	11	,	,	PUNCT
ejpam-4366	259	12	h.n	h.n	PROPN
ejpam-4366	259	13	.	.	PROPN
ejpam-4366	259	14	aliyev	aliyev	PROPN
ejpam-4366	259	15	,	,	PUNCT
ejpam-4366	259	16	and	and	CCONJ
ejpam-4366	259	17	r.a	r.a	PROPN
ejpam-4366	259	18	.	.	PROPN
ejpam-4366	259	19	sardarova	sardarova	PROPN
ejpam-4366	259	20	.	.	PUNCT
ejpam-4366	260	1	existence	existence	NOUN
ejpam-4366	260	2	and	and	CCONJ
ejpam-4366	260	3	uniqueness	uniqueness	NOUN
ejpam-4366	260	4	of	of	ADP
ejpam-4366	260	5	solutions	solution	NOUN
ejpam-4366	260	6	for	for	ADP
ejpam-4366	260	7	the	the	DET
ejpam-4366	260	8	first	first	ADJ
ejpam-4366	260	9	order	order	NOUN
ejpam-4366	260	10	non	non	ADJ
ejpam-4366	260	11	-	-	ADJ
ejpam-4366	260	12	linear	linear	ADJ
ejpam-4366	260	13	differential	differential	ADJ
ejpam-4366	260	14	equations	equation	NOUN
ejpam-4366	260	15	with	with	ADP
ejpam-4366	260	16	multipoint	multipoint	NOUN
ejpam-4366	260	17	boundary	boundary	ADJ
ejpam-4366	260	18	conditions	condition	NOUN
ejpam-4366	260	19	.	.	PUNCT
ejpam-4366	261	1	european	european	ADJ
ejpam-4366	261	2	journal	journal	PROPN
ejpam-4366	261	3	of	of	ADP
ejpam-4366	261	4	pure	pure	ADJ
ejpam-4366	261	5	and	and	CCONJ
ejpam-4366	261	6	applied	applied	ADJ
ejpam-4366	261	7	mathematics	mathematic	NOUN
ejpam-4366	261	8	,	,	PUNCT
ejpam-4366	261	9	13(3):414–426	13(3):414–426	NUM
ejpam-4366	261	10	,	,	PUNCT
ejpam-4366	261	11	2020	2020	NUM
ejpam-4366	261	12	.	.	PUNCT
ejpam-4366	262	1	[	[	X
ejpam-4366	262	2	27	27	NUM
ejpam-4366	262	3	]	]	PUNCT
ejpam-4366	262	4	i.	i.	NOUN
ejpam-4366	262	5	podlubny	podlubny	PROPN
ejpam-4366	262	6	.	.	PUNCT
ejpam-4366	263	1	fractional	fractional	ADJ
ejpam-4366	263	2	differential	differential	ADJ
ejpam-4366	263	3	equations	equation	NOUN
ejpam-4366	263	4	.	.	PUNCT
ejpam-4366	264	1	academic	academic	ADJ
ejpam-4366	264	2	press	press	NOUN
ejpam-4366	264	3	,	,	PUNCT
ejpam-4366	264	4	new	new	PROPN
ejpam-4366	264	5	york	york	PROPN
ejpam-4366	264	6	,	,	PUNCT
ejpam-4366	264	7	ny	ny	PROPN
ejpam-4366	264	8	,	,	PUNCT
ejpam-4366	264	9	usa	usa	PROPN
ejpam-4366	264	10	,	,	PUNCT
ejpam-4366	264	11	1993	1993	NUM
ejpam-4366	264	12	.	.	PUNCT
ejpam-4366	265	1	[	[	X
ejpam-4366	265	2	28	28	NUM
ejpam-4366	265	3	]	]	X
ejpam-4366	265	4	y.a	y.a	PROPN
ejpam-4366	265	5	.	.	PROPN
ejpam-4366	265	6	sharifov	sharifov	PROPN
ejpam-4366	265	7	.	.	PUNCT
ejpam-4366	266	1	existence	existence	NOUN
ejpam-4366	266	2	and	and	CCONJ
ejpam-4366	266	3	uniqueness	uniqueness	NOUN
ejpam-4366	266	4	of	of	ADP
ejpam-4366	266	5	solutions	solution	NOUN
ejpam-4366	266	6	for	for	ADP
ejpam-4366	266	7	the	the	DET
ejpam-4366	266	8	system	system	NOUN
ejpam-4366	266	9	of	of	ADP
ejpam-4366	266	10	nonlinear	nonlinear	ADJ
ejpam-4366	266	11	fractional	fractional	ADJ
ejpam-4366	266	12	differential	differential	ADJ
ejpam-4366	266	13	equations	equation	NOUN
ejpam-4366	266	14	with	with	ADP
ejpam-4366	266	15	nonlocal	nonlocal	ADJ
ejpam-4366	266	16	boundary	boundary	ADJ
ejpam-4366	266	17	conditions	condition	NOUN
ejpam-4366	266	18	.	.	PUNCT
ejpam-4366	267	1	proceedings	proceeding	NOUN
ejpam-4366	267	2	of	of	ADP
ejpam-4366	267	3	imm	imm	NOUN
ejpam-4366	267	4	of	of	ADP
ejpam-4366	267	5	nas	nas	PROPN
ejpam-4366	267	6	of	of	ADP
ejpam-4366	267	7	azerbaijan	azerbaijan	PROPN
ejpam-4366	267	8	,	,	PUNCT
ejpam-4366	267	9	xxxvi(xliv):125–134	xxxvi(xliv):125–134	PROPN
ejpam-4366	267	10	,	,	PUNCT
ejpam-4366	267	11	2012	2012	NUM
ejpam-4366	267	12	.	.	PUNCT
ejpam-4366	268	1	[	[	X
ejpam-4366	268	2	29	29	NUM
ejpam-4366	268	3	]	]	PUNCT
ejpam-4366	268	4	m.	m.	NOUN
ejpam-4366	268	5	alesemi	alesemi	PROPN
ejpam-4366	268	6	s.n	s.n	PROPN
ejpam-4366	268	7	.	.	PROPN
ejpam-4366	268	8	rao	rao	PROPN
ejpam-4366	268	9	.	.	PUNCT
ejpam-4366	269	1	on	on	ADP
ejpam-4366	269	2	a	a	DET
ejpam-4366	269	3	coupled	couple	VERB
ejpam-4366	269	4	system	system	NOUN
ejpam-4366	269	5	of	of	ADP
ejpam-4366	269	6	fractional	fractional	ADJ
ejpam-4366	269	7	differential	differential	ADJ
ejpam-4366	269	8	equations	equation	NOUN
ejpam-4366	269	9	with	with	ADP
ejpam-4366	269	10	nonlocal	nonlocal	ADJ
ejpam-4366	269	11	non	non	ADJ
ejpam-4366	269	12	-	-	ADJ
ejpam-4366	269	13	separated	separate	VERB
ejpam-4366	269	14	boundary	boundary	ADJ
ejpam-4366	269	15	conditions	condition	NOUN
ejpam-4366	269	16	.	.	PUNCT
ejpam-4366	270	1	[	[	X
ejpam-4366	270	2	30	30	NUM
ejpam-4366	270	3	]	]	X
ejpam-4366	270	4	y.	y.	PROPN
ejpam-4366	270	5	wang	wang	PROPN
ejpam-4366	270	6	and	and	CCONJ
ejpam-4366	270	7	l.	l.	PROPN
ejpam-4366	270	8	liu	liu	PROPN
ejpam-4366	270	9	.	.	PROPN
ejpam-4366	271	1	uniqueness	uniqueness	PROPN
ejpam-4366	271	2	and	and	CCONJ
ejpam-4366	271	3	existence	existence	NOUN
ejpam-4366	271	4	of	of	ADP
ejpam-4366	271	5	positive	positive	ADJ
ejpam-4366	271	6	solutions	solution	NOUN
ejpam-4366	271	7	for	for	ADP
ejpam-4366	271	8	the	the	DET
ejpam-4366	271	9	fractional	fractional	ADJ
ejpam-4366	271	10	integro	integro	ADJ
ejpam-4366	271	11	-	-	PUNCT
ejpam-4366	271	12	differential	differential	NOUN
ejpam-4366	271	13	equation	equation	NOUN
ejpam-4366	271	14	.	.	PUNCT
ejpam-4366	272	1	boundary	boundary	ADJ
ejpam-4366	272	2	value	value	NOUN
ejpam-4366	272	3	problems	problem	NOUN
ejpam-4366	272	4	,	,	PUNCT
ejpam-4366	272	5	year	year	NOUN
ejpam-4366	272	6	=	=	SYM
ejpam-4366	272	7	2017	2017	NUM
ejpam-4366	272	8	,	,	PUNCT
ejpam-4366	272	9	volume	volume	NOUN
ejpam-4366	272	10	=	=	NOUN
ejpam-4366	272	11	12	12	NUM
ejpam-4366	272	12	,	,	PUNCT
ejpam-4366	272	13	.	.	PUNCT
ejpam-4366	273	1	[	[	X
ejpam-4366	273	2	31	31	NUM
ejpam-4366	273	3	]	]	X
ejpam-4366	273	4	y.	y.	PROPN
ejpam-4366	273	5	xing	xing	PROPN
ejpam-4366	273	6	,	,	PUNCT
ejpam-4366	273	7	f.	f.	PROPN
ejpam-4366	273	8	jiao	jiao	PROPN
ejpam-4366	273	9	,	,	PUNCT
ejpam-4366	273	10	and	and	CCONJ
ejpam-4366	273	11	f.	f.	PROPN
ejpam-4366	273	12	liu	liu	PROPN
ejpam-4366	273	13	.	.	PUNCT
ejpam-4366	274	1	on	on	ADP
ejpam-4366	274	2	the	the	DET
ejpam-4366	274	3	generalization	generalization	NOUN
ejpam-4366	274	4	of	of	ADP
ejpam-4366	274	5	a	a	DET
ejpam-4366	274	6	solution	solution	NOUN
ejpam-4366	274	7	for	for	ADP
ejpam-4366	274	8	a	a	DET
ejpam-4366	274	9	class	class	NOUN
ejpam-4366	274	10	of	of	ADP
ejpam-4366	274	11	integrodifferential	integrodifferential	ADJ
ejpam-4366	274	12	equations	equation	NOUN
ejpam-4366	274	13	with	with	ADP
ejpam-4366	274	14	non	non	ADJ
ejpam-4366	274	15	-	-	ADJ
ejpam-4366	274	16	separated	separated	ADJ
ejpam-4366	274	17	integral	integral	ADJ
ejpam-4366	274	18	boundary	boundary	ADJ
ejpam-4366	274	19	conditions	condition	NOUN
ejpam-4366	274	20	.	.	PUNCT
ejpam-4366	275	1	mathematical	mathematical	ADJ
ejpam-4366	275	2	problems	problem	NOUN
ejpam-4366	275	3	in	in	ADP
ejpam-4366	275	4	engineering	engineering	NOUN
ejpam-4366	275	5	,	,	PUNCT
ejpam-4366	275	6	year	year	NOUN
ejpam-4366	275	7	=	=	SYM
ejpam-4366	275	8	2020	2020	NUM
ejpam-4366	275	9	,	,	PUNCT
ejpam-4366	275	10	volume	volume	NOUN
ejpam-4366	275	11	=	=	SYM
ejpam-4366	275	12	2020	2020	NUM
ejpam-4366	275	13	,	,	PUNCT
ejpam-4366	275	14	pages	page	NOUN
ejpam-4366	275	15	=	=	NOUN
ejpam-4366	275	16	article	article	NOUN
ejpam-4366	275	17	i	i	PROPN
ejpam-4366	275	18	d	d	PROPN
ejpam-4366	275	19	8679465	8679465	NUM
ejpam-4366	275	20	,	,	PUNCT
ejpam-4366	275	21	.	.	PUNCT
ejpam-4366	276	1	[	[	X
ejpam-4366	276	2	32	32	NUM
ejpam-4366	276	3	]	]	SYM
ejpam-4366	276	4	s.m	s.m	PROPN
ejpam-4366	276	5	.	.	PROPN
ejpam-4366	276	6	zeynally	zeynally	PROPN
ejpam-4366	276	7	y.a	y.a	PROPN
ejpam-4366	276	8	.	.	PROPN
ejpam-4366	276	9	sharifov	sharifov	PROPN
ejpam-4366	276	10	,	,	PUNCT
ejpam-4366	276	11	f.m	f.m	PROPN
ejpam-4366	276	12	.	.	PROPN
ejpam-4366	276	13	zeynally	zeynally	PROPN
ejpam-4366	276	14	.	.	PUNCT
ejpam-4366	277	1	existence	existence	NOUN
ejpam-4366	277	2	and	and	CCONJ
ejpam-4366	277	3	uniqueness	uniqueness	NOUN
ejpam-4366	277	4	of	of	ADP
ejpam-4366	277	5	solutions	solution	NOUN
ejpam-4366	277	6	for	for	ADP
ejpam-4366	277	7	nonlinear	nonlinear	ADJ
ejpam-4366	277	8	fractional	fractional	ADJ
ejpam-4366	277	9	differential	differential	ADJ
ejpam-4366	277	10	equations	equation	NOUN
ejpam-4366	277	11	with	with	ADP
ejpam-4366	277	12	two	two	NUM
ejpam-4366	277	13	-	-	PUNCT
ejpam-4366	277	14	point	point	NOUN
ejpam-4366	277	15	boundary	boundary	ADJ
ejpam-4366	277	16	conditions	condition	NOUN
ejpam-4366	277	17	.	.	PUNCT
ejpam-4366	278	1	advanced	advanced	ADJ
ejpam-4366	278	2	mathematical	mathematical	ADJ
ejpam-4366	278	3	models	model	NOUN
ejpam-4366	278	4	applications	application	NOUN
ejpam-4366	278	5	,	,	PUNCT
ejpam-4366	278	6	year	year	NOUN
ejpam-4366	278	7	=	=	SYM
ejpam-4366	278	8	2018	2018	NUM
ejpam-4366	278	9	,	,	PUNCT
ejpam-4366	278	10	volume	volume	NOUN
ejpam-4366	278	11	=	=	SYM
ejpam-4366	278	12	3	3	NUM
ejpam-4366	278	13	,	,	PUNCT
ejpam-4366	278	14	number	number	NOUN
ejpam-4366	278	15	=	=	SYM
ejpam-4366	278	16	1	1	NUM
ejpam-4366	278	17	,	,	PUNCT
ejpam-4366	278	18	pages	page	NOUN
ejpam-4366	278	19	=	=	PUNCT
ejpam-4366	278	20	54	54	NUM
ejpam-4366	278	21	-	-	SYM
ejpam-4366	278	22	62	62	NUM
ejpam-4366	278	23	,	,	PUNCT
ejpam-4366	278	24	.	.	PUNCT
ejpam-4366	279	1	[	[	X
ejpam-4366	279	2	33	33	NUM
ejpam-4366	279	3	]	]	X
ejpam-4366	279	4	y.	y.	PROPN
ejpam-4366	279	5	zhou	zhou	PROPN
ejpam-4366	279	6	.	.	PUNCT
ejpam-4366	279	7	fractional	fractional	ADJ
ejpam-4366	279	8	differential	differential	ADJ
ejpam-4366	279	9	equations	equation	NOUN
ejpam-4366	279	10	.	.	PUNCT
ejpam-4366	280	1	xiangtan	xiangtan	PROPN
ejpam-4366	280	2	university	university	PROPN
ejpam-4366	280	3	,	,	PUNCT
ejpam-4366	280	4	xiangtan	xiangtan	PROPN
ejpam-4366	280	5	,	,	PUNCT
ejpam-4366	280	6	china	china	PROPN
ejpam-4366	280	7	,	,	PUNCT
ejpam-4366	280	8	2014	2014	NUM
ejpam-4366	280	9	.	.	PUNCT