id	sid	tid	token	lemma	pos
ejpam-3978	1	1	european	european	PROPN
ejpam-3978	1	2	journal	journal	PROPN
ejpam-3978	1	3	of	of	ADP
ejpam-3978	1	4	pure	pure	ADJ
ejpam-3978	1	5	and	and	CCONJ
ejpam-3978	1	6	applied	apply	VERB
ejpam-3978	1	7	mathematics	mathematic	NOUN
ejpam-3978	1	8	vol	vol	NOUN
ejpam-3978	1	9	.	.	PUNCT
ejpam-3978	2	1	14	14	NUM
ejpam-3978	2	2	,	,	PUNCT
ejpam-3978	2	3	no	no	INTJ
ejpam-3978	2	4	.	.	NOUN
ejpam-3978	2	5	2	2	NUM
ejpam-3978	2	6	,	,	PUNCT
ejpam-3978	2	7	2021	2021	NUM
ejpam-3978	2	8	,	,	PUNCT
ejpam-3978	2	9	608	608	NUM
ejpam-3978	2	10	-	-	SYM
ejpam-3978	2	11	617	617	NUM
ejpam-3978	2	12	issn	issn	PROPN
ejpam-3978	2	13	1307	1307	NUM
ejpam-3978	2	14	-	-	SYM
ejpam-3978	2	15	5543	5543	NUM
ejpam-3978	2	16	–	–	PUNCT
ejpam-3978	3	1	ejpam.com	ejpam.com	X
ejpam-3978	3	2	published	publish	VERB
ejpam-3978	3	3	by	by	ADP
ejpam-3978	3	4	new	new	PROPN
ejpam-3978	3	5	york	york	PROPN
ejpam-3978	3	6	business	business	PROPN
ejpam-3978	3	7	global	global	ADJ
ejpam-3978	3	8	existence	existence	NOUN
ejpam-3978	3	9	and	and	CCONJ
ejpam-3978	3	10	uniqueness	uniqueness	NOUN
ejpam-3978	3	11	of	of	ADP
ejpam-3978	3	12	solutions	solution	NOUN
ejpam-3978	3	13	for	for	ADP
ejpam-3978	3	14	the	the	DET
ejpam-3978	3	15	nonlinear	nonlinear	ADJ
ejpam-3978	3	16	fractional	fractional	ADJ
ejpam-3978	3	17	differential	differential	ADJ
ejpam-3978	3	18	equations	equation	NOUN
ejpam-3978	3	19	with	with	ADP
ejpam-3978	3	20	two	two	NUM
ejpam-3978	3	21	-	-	PUNCT
ejpam-3978	3	22	point	point	NOUN
ejpam-3978	3	23	and	and	CCONJ
ejpam-3978	3	24	integral	integral	ADJ
ejpam-3978	3	25	boundary	boundary	ADJ
ejpam-3978	3	26	conditions	condition	NOUN
ejpam-3978	3	27	y.a	y.a	PROPN
ejpam-3978	3	28	.	.	PROPN
ejpam-3978	3	29	sharifov1,2,∗	sharifov1,2,∗	PROPN
ejpam-3978	3	30	,	,	PUNCT
ejpam-3978	3	31	s.a	s.a	PROPN
ejpam-3978	3	32	.	.	PROPN
ejpam-3978	4	1	zamanova3	zamanova3	PROPN
ejpam-3978	4	2	,	,	PUNCT
ejpam-3978	4	3	r.a	r.a	PROPN
ejpam-3978	4	4	.	.	PUNCT
ejpam-3978	4	5	sardarova3	sardarova3	PROPN
ejpam-3978	4	6	1	1	NUM
ejpam-3978	4	7	institute	institute	PROPN
ejpam-3978	4	8	of	of	ADP
ejpam-3978	4	9	mathematics	mathematics	PROPN
ejpam-3978	4	10	and	and	CCONJ
ejpam-3978	4	11	mechanics	mechanic	NOUN
ejpam-3978	4	12	,	,	PUNCT
ejpam-3978	4	13	anas	anas	PROPN
ejpam-3978	4	14	,	,	PUNCT
ejpam-3978	4	15	baku	baku	PROPN
ejpam-3978	4	16	,	,	PUNCT
ejpam-3978	4	17	azerbaijan	azerbaijan	PROPN
ejpam-3978	4	18	2	2	NUM
ejpam-3978	4	19	baku	baku	PROPN
ejpam-3978	4	20	state	state	PROPN
ejpam-3978	4	21	university	university	PROPN
ejpam-3978	4	22	baku	baku	PROPN
ejpam-3978	4	23	,	,	PUNCT
ejpam-3978	4	24	azerbaijan	azerbaijan	PROPN
ejpam-3978	4	25	3	3	NUM
ejpam-3978	4	26	azerbaijan	azerbaijan	PROPN
ejpam-3978	4	27	state	state	PROPN
ejpam-3978	4	28	university	university	PROPN
ejpam-3978	4	29	of	of	ADP
ejpam-3978	4	30	economics	economics	PROPN
ejpam-3978	4	31	(	(	PUNCT
ejpam-3978	4	32	unec	unec	PROPN
ejpam-3978	4	33	)	)	PUNCT
ejpam-3978	4	34	,	,	PUNCT
ejpam-3978	4	35	baku	baku	PROPN
ejpam-3978	4	36	,	,	PUNCT
ejpam-3978	4	37	azerbaijan	azerbaijan	PROPN
ejpam-3978	4	38	abstract	abstract	NOUN
ejpam-3978	4	39	.	.	PUNCT
ejpam-3978	5	1	in	in	ADP
ejpam-3978	5	2	this	this	DET
ejpam-3978	5	3	paper	paper	NOUN
ejpam-3978	5	4	the	the	DET
ejpam-3978	5	5	existence	existence	NOUN
ejpam-3978	5	6	and	and	CCONJ
ejpam-3978	5	7	uniqueness	uniqueness	NOUN
ejpam-3978	5	8	of	of	ADP
ejpam-3978	5	9	solutions	solution	NOUN
ejpam-3978	5	10	to	to	ADP
ejpam-3978	5	11	the	the	DET
ejpam-3978	5	12	fractional	fractional	ADJ
ejpam-3978	5	13	differential	differential	ADJ
ejpam-3978	5	14	equations	equation	NOUN
ejpam-3978	5	15	with	with	ADP
ejpam-3978	5	16	two	two	NUM
ejpam-3978	5	17	-	-	PUNCT
ejpam-3978	5	18	point	point	NOUN
ejpam-3978	5	19	and	and	CCONJ
ejpam-3978	5	20	integral	integral	ADJ
ejpam-3978	5	21	boundary	boundary	ADJ
ejpam-3978	5	22	conditions	condition	NOUN
ejpam-3978	5	23	is	be	AUX
ejpam-3978	5	24	investigated	investigate	VERB
ejpam-3978	5	25	.	.	PUNCT
ejpam-3978	6	1	the	the	DET
ejpam-3978	6	2	green	green	ADJ
ejpam-3978	6	3	function	function	NOUN
ejpam-3978	6	4	is	be	AUX
ejpam-3978	6	5	constructed	construct	VERB
ejpam-3978	6	6	,	,	PUNCT
ejpam-3978	6	7	and	and	CCONJ
ejpam-3978	6	8	the	the	DET
ejpam-3978	6	9	problem	problem	NOUN
ejpam-3978	6	10	under	under	ADP
ejpam-3978	6	11	consideration	consideration	NOUN
ejpam-3978	6	12	is	be	AUX
ejpam-3978	6	13	reduced	reduce	VERB
ejpam-3978	6	14	to	to	ADP
ejpam-3978	6	15	the	the	DET
ejpam-3978	6	16	equivalent	equivalent	ADJ
ejpam-3978	6	17	integral	integral	ADJ
ejpam-3978	6	18	equation	equation	NOUN
ejpam-3978	6	19	.	.	PUNCT
ejpam-3978	7	1	existence	existence	NOUN
ejpam-3978	7	2	and	and	CCONJ
ejpam-3978	7	3	uniqueness	uniqueness	NOUN
ejpam-3978	7	4	of	of	ADP
ejpam-3978	7	5	a	a	DET
ejpam-3978	7	6	solution	solution	NOUN
ejpam-3978	7	7	to	to	ADP
ejpam-3978	7	8	this	this	DET
ejpam-3978	7	9	problem	problem	NOUN
ejpam-3978	7	10	is	be	AUX
ejpam-3978	7	11	analyzed	analyze	VERB
ejpam-3978	7	12	using	use	VERB
ejpam-3978	7	13	the	the	DET
ejpam-3978	7	14	banach	banach	NOUN
ejpam-3978	7	15	the	the	DET
ejpam-3978	7	16	contraction	contraction	NOUN
ejpam-3978	7	17	mapping	mapping	NOUN
ejpam-3978	7	18	principle	principle	NOUN
ejpam-3978	7	19	and	and	CCONJ
ejpam-3978	7	20	krasnoselskiis	krasnoselskiis	ADJ
ejpam-3978	7	21	fixed	fix	VERB
ejpam-3978	7	22	point	point	NOUN
ejpam-3978	7	23	theorem	theorem	VERB
ejpam-3978	7	24	.	.	PROPN
ejpam-3978	7	25	2020	2020	NUM
ejpam-3978	7	26	mathematics	mathematics	PROPN
ejpam-3978	7	27	subject	subject	NOUN
ejpam-3978	7	28	classifications	classification	NOUN
ejpam-3978	7	29	:	:	PUNCT
ejpam-3978	7	30	ams	am	NOUN
ejpam-3978	7	31	34b37	34b37	NUM
ejpam-3978	7	32	,	,	PUNCT
ejpam-3978	7	33	34b15	34b15	NUM
ejpam-3978	7	34	key	key	ADJ
ejpam-3978	7	35	words	word	NOUN
ejpam-3978	7	36	and	and	CCONJ
ejpam-3978	7	37	phrases	phrase	NOUN
ejpam-3978	7	38	:	:	PUNCT
ejpam-3978	7	39	nonlocal	nonlocal	ADJ
ejpam-3978	7	40	boundary	boundary	ADJ
ejpam-3978	7	41	conditions	condition	NOUN
ejpam-3978	7	42	,	,	PUNCT
ejpam-3978	7	43	caputo	caputo	PROPN
ejpam-3978	7	44	fractional	fractional	PROPN
ejpam-3978	7	45	derivative	derivative	ADJ
ejpam-3978	7	46	,	,	PUNCT
ejpam-3978	7	47	existence	existence	NOUN
ejpam-3978	7	48	,	,	PUNCT
ejpam-3978	7	49	uniqueness	uniqueness	NOUN
ejpam-3978	7	50	,	,	PUNCT
ejpam-3978	7	51	fixed	fixed	ADJ
ejpam-3978	7	52	point	point	NOUN
ejpam-3978	7	53	.	.	PUNCT
ejpam-3978	8	1	1	1	X
ejpam-3978	8	2	.	.	X
ejpam-3978	8	3	introduction	introduction	NOUN
ejpam-3978	8	4	in	in	ADP
ejpam-3978	8	5	recent	recent	ADJ
ejpam-3978	8	6	years	year	NOUN
ejpam-3978	8	7	,	,	PUNCT
ejpam-3978	8	8	the	the	DET
ejpam-3978	8	9	theory	theory	NOUN
ejpam-3978	8	10	of	of	ADP
ejpam-3978	8	11	the	the	DET
ejpam-3978	8	12	fractional	fractional	ADJ
ejpam-3978	8	13	differential	differential	ADJ
ejpam-3978	8	14	equations	equation	NOUN
ejpam-3978	8	15	has	have	AUX
ejpam-3978	8	16	played	play	VERB
ejpam-3978	8	17	a	a	DET
ejpam-3978	8	18	very	very	ADV
ejpam-3978	8	19	important	important	ADJ
ejpam-3978	8	20	role	role	NOUN
ejpam-3978	8	21	in	in	ADP
ejpam-3978	8	22	a	a	DET
ejpam-3978	8	23	new	new	ADJ
ejpam-3978	8	24	branch	branch	NOUN
ejpam-3978	8	25	of	of	ADP
ejpam-3978	8	26	applied	apply	VERB
ejpam-3978	8	27	mathematics	mathematic	NOUN
ejpam-3978	8	28	,	,	PUNCT
ejpam-3978	8	29	which	which	PRON
ejpam-3978	8	30	has	have	AUX
ejpam-3978	8	31	been	be	AUX
ejpam-3978	8	32	utilized	utilize	VERB
ejpam-3978	8	33	for	for	ADP
ejpam-3978	8	34	mathematical	mathematical	ADJ
ejpam-3978	8	35	models	model	NOUN
ejpam-3978	8	36	in	in	ADP
ejpam-3978	8	37	engineering	engineering	NOUN
ejpam-3978	8	38	,	,	PUNCT
ejpam-3978	8	39	physics	physics	NOUN
ejpam-3978	8	40	,	,	PUNCT
ejpam-3978	8	41	chemistry	chemistry	NOUN
ejpam-3978	8	42	,	,	PUNCT
ejpam-3978	8	43	signal	signal	VERB
ejpam-3978	8	44	analysis	analysis	NOUN
ejpam-3978	8	45	,	,	PUNCT
ejpam-3978	8	46	etc	etc	X
ejpam-3978	8	47	.	.	X
ejpam-3978	8	48	for	for	ADP
ejpam-3978	8	49	details	detail	NOUN
ejpam-3978	8	50	and	and	CCONJ
ejpam-3978	8	51	applications	application	NOUN
ejpam-3978	8	52	,	,	PUNCT
ejpam-3978	8	53	we	we	PRON
ejpam-3978	8	54	refer	refer	VERB
ejpam-3978	8	55	the	the	DET
ejpam-3978	8	56	reader	reader	NOUN
ejpam-3978	8	57	to	to	ADP
ejpam-3978	8	58	the	the	DET
ejpam-3978	8	59	classical	classical	ADJ
ejpam-3978	8	60	reference	reference	NOUN
ejpam-3978	8	61	texts	text	NOUN
ejpam-3978	8	62	such	such	ADJ
ejpam-3978	8	63	as	as	ADP
ejpam-3978	8	64	[	[	X
ejpam-3978	8	65	1	1	NUM
ejpam-3978	8	66	-	-	SYM
ejpam-3978	8	67	6	6	NUM
ejpam-3978	8	68	]	]	PUNCT
ejpam-3978	8	69	.	.	PUNCT
ejpam-3978	9	1	fractional	fractional	ADJ
ejpam-3978	9	2	differential	differential	ADJ
ejpam-3978	9	3	equations	equation	NOUN
ejpam-3978	9	4	are	be	AUX
ejpam-3978	9	5	considered	consider	VERB
ejpam-3978	9	6	as	as	ADP
ejpam-3978	9	7	a	a	DET
ejpam-3978	9	8	valuable	valuable	ADJ
ejpam-3978	9	9	tool	tool	NOUN
ejpam-3978	9	10	to	to	PART
ejpam-3978	9	11	model	model	VERB
ejpam-3978	9	12	many	many	ADJ
ejpam-3978	9	13	real	real	ADJ
ejpam-3978	9	14	world	world	NOUN
ejpam-3978	9	15	problems	problem	NOUN
ejpam-3978	9	16	.	.	PUNCT
ejpam-3978	10	1	boundary	boundary	ADJ
ejpam-3978	10	2	value	value	NOUN
ejpam-3978	10	3	problems	problem	NOUN
ejpam-3978	10	4	for	for	ADP
ejpam-3978	10	5	such	such	ADJ
ejpam-3978	10	6	differential	differential	ADJ
ejpam-3978	10	7	equations	equation	NOUN
ejpam-3978	10	8	represent	represent	VERB
ejpam-3978	10	9	an	an	DET
ejpam-3978	10	10	important	important	ADJ
ejpam-3978	10	11	class	class	NOUN
ejpam-3978	10	12	of	of	ADP
ejpam-3978	10	13	applied	apply	VERB
ejpam-3978	10	14	analysis	analysis	NOUN
ejpam-3978	10	15	.	.	PUNCT
ejpam-3978	11	1	most	most	ADJ
ejpam-3978	11	2	of	of	ADP
ejpam-3978	11	3	the	the	DET
ejpam-3978	11	4	studied	study	VERB
ejpam-3978	11	5	fractional	fractional	ADJ
ejpam-3978	11	6	differential	differential	ADJ
ejpam-3978	11	7	equations	equation	NOUN
ejpam-3978	11	8	by	by	ADP
ejpam-3978	11	9	taking	take	VERB
ejpam-3978	11	10	caputo	caputo	PROPN
ejpam-3978	11	11	or	or	CCONJ
ejpam-3978	11	12	riemannliouville	riemannliouville	NOUN
ejpam-3978	11	13	derivatives	derivative	NOUN
ejpam-3978	11	14	.	.	PUNCT
ejpam-3978	12	1	engineers	engineer	NOUN
ejpam-3978	12	2	and	and	CCONJ
ejpam-3978	12	3	scientists	scientist	NOUN
ejpam-3978	12	4	have	have	AUX
ejpam-3978	12	5	developed	develop	VERB
ejpam-3978	12	6	some	some	DET
ejpam-3978	12	7	new	new	ADJ
ejpam-3978	12	8	models	model	NOUN
ejpam-3978	12	9	that	that	PRON
ejpam-3978	12	10	involve	involve	VERB
ejpam-3978	12	11	fractional	fractional	ADJ
ejpam-3978	12	12	differential	differential	ADJ
ejpam-3978	12	13	equations	equation	NOUN
ejpam-3978	12	14	for	for	ADP
ejpam-3978	12	15	which	which	PRON
ejpam-3978	12	16	the	the	DET
ejpam-3978	12	17	riemann	riemann	PROPN
ejpam-3978	12	18	liouville	liouville	PROPN
ejpam-3978	12	19	derivative	derivative	NOUN
ejpam-3978	12	20	is	be	AUX
ejpam-3978	12	21	not	not	PART
ejpam-3978	12	22	considered	consider	VERB
ejpam-3978	12	23	appropriate	appropriate	ADJ
ejpam-3978	12	24	.	.	PUNCT
ejpam-3978	13	1	therefore	therefore	ADV
ejpam-3978	13	2	,	,	PUNCT
ejpam-3978	13	3	certain	certain	ADJ
ejpam-3978	13	4	modifications	modification	NOUN
ejpam-3978	13	5	were	be	AUX
ejpam-3978	13	6	introduced	introduce	VERB
ejpam-3978	13	7	to	to	PART
ejpam-3978	13	8	avoid	avoid	VERB
ejpam-3978	13	9	the	the	DET
ejpam-3978	13	10	difficulties	difficulty	NOUN
ejpam-3978	13	11	and	and	CCONJ
ejpam-3978	13	12	some	some	DET
ejpam-3978	13	13	new	new	ADJ
ejpam-3978	13	14	types	type	NOUN
ejpam-3978	13	15	of	of	ADP
ejpam-3978	13	16	fractional	fractional	ADJ
ejpam-3978	13	17	order	order	NOUN
ejpam-3978	13	18	derivative	derivative	ADJ
ejpam-3978	13	19	operators	operator	NOUN
ejpam-3978	13	20	were	be	AUX
ejpam-3978	13	21	introduced	introduce	VERB
ejpam-3978	13	22	in	in	ADP
ejpam-3978	13	23	the	the	DET
ejpam-3978	13	24	literature	literature	NOUN
ejpam-3978	13	25	by	by	ADP
ejpam-3978	13	26	authors	author	NOUN
ejpam-3978	13	27	like	like	ADP
ejpam-3978	13	28	caputo	caputo	PROPN
ejpam-3978	13	29	,	,	PUNCT
ejpam-3978	13	30	hadamard	hadamard	NOUN
ejpam-3978	13	31	,	,	PUNCT
ejpam-3978	13	32	and	and	CCONJ
ejpam-3978	13	33	erdely	erdely	ADV
ejpam-3978	13	34	kober	kober	PROPN
ejpam-3978	13	35	,	,	PUNCT
ejpam-3978	13	36	etc	etc	X
ejpam-3978	13	37	.	.	X
ejpam-3978	13	38	∗corresponding	∗corresponde	VERB
ejpam-3978	13	39	author	author	NOUN
ejpam-3978	13	40	.	.	PUNCT
ejpam-3978	14	1	doi	doi	NOUN
ejpam-3978	14	2	:	:	PUNCT
ejpam-3978	14	3	https://doi.org/10.29020/nybg.ejpam.v14i2.3978	https://doi.org/10.29020/nybg.ejpam.v14i2.3978	X
ejpam-3978	14	4	email	email	NOUN
ejpam-3978	14	5	addresses	address	NOUN
ejpam-3978	14	6	:	:	PUNCT
ejpam-3978	14	7	sharifov22@rambler.ru	sharifov22@rambler.ru	PROPN
ejpam-3978	14	8	(	(	PUNCT
ejpam-3978	14	9	y.a	y.a	PROPN
ejpam-3978	14	10	.	.	PROPN
ejpam-3978	14	11	sharifov	sharifov	PROPN
ejpam-3978	14	12	)	)	PUNCT
ejpam-3978	14	13	,	,	PUNCT
ejpam-3978	14	14	sevinc.zamanova@gmail.com	sevinc.zamanova@gmail.com	X
ejpam-3978	14	15	(	(	PUNCT
ejpam-3978	14	16	s.a	s.a	PROPN
ejpam-3978	14	17	.	.	PROPN
ejpam-3978	14	18	zamanova),sardarova.rita.77@gmail.com	zamanova),sardarova.rita.77@gmail.com	PROPN
ejpam-3978	14	19	(	(	PUNCT
ejpam-3978	14	20	r.a	r.a	PROPN
ejpam-3978	14	21	.	.	PROPN
ejpam-3978	14	22	sardarova	sardarova	PROPN
ejpam-3978	14	23	)	)	PUNCT
ejpam-3978	14	24	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3978	15	1	608	608	NUM
ejpam-3978	15	2	c	c	X
ejpam-3978	15	3	©	©	PROPN
ejpam-3978	15	4	2021	2021	NUM
ejpam-3978	15	5	ejpam	ejpam	VERB
ejpam-3978	15	6	all	all	DET
ejpam-3978	15	7	rights	right	NOUN
ejpam-3978	15	8	reserved	reserve	VERB
ejpam-3978	15	9	.	.	PUNCT
ejpam-3978	16	1	y.a	y.a	PROPN
ejpam-3978	16	2	.	.	PROPN
ejpam-3978	16	3	sharifov	sharifov	PROPN
ejpam-3978	16	4	,	,	PUNCT
ejpam-3978	16	5	s.a	s.a	PROPN
ejpam-3978	16	6	.	.	PROPN
ejpam-3978	16	7	zamanova	zamanova	PROPN
ejpam-3978	16	8	,	,	PUNCT
ejpam-3978	16	9	r.a	r.a	PROPN
ejpam-3978	16	10	.	.	PROPN
ejpam-3978	16	11	sardarova	sardarova	PROPN
ejpam-3978	16	12	/	/	SYM
ejpam-3978	16	13	eur	eur	PROPN
ejpam-3978	16	14	.	.	PUNCT
ejpam-3978	17	1	j.	j.	PROPN
ejpam-3978	17	2	pure	pure	PROPN
ejpam-3978	17	3	appl	appl	PROPN
ejpam-3978	17	4	.	.	PROPN
ejpam-3978	17	5	math	math	PROPN
ejpam-3978	17	6	,	,	PUNCT
ejpam-3978	17	7	14	14	NUM
ejpam-3978	17	8	(	(	PUNCT
ejpam-3978	17	9	2	2	NUM
ejpam-3978	17	10	)	)	PUNCT
ejpam-3978	17	11	(	(	PUNCT
ejpam-3978	17	12	2021	2021	NUM
ejpam-3978	17	13	)	)	PUNCT
ejpam-3978	17	14	,	,	PUNCT
ejpam-3978	17	15	608	608	NUM
ejpam-3978	17	16	-	-	SYM
ejpam-3978	17	17	617	617	NUM
ejpam-3978	17	18	609	609	NUM
ejpam-3978	17	19	boundary	boundary	ADJ
ejpam-3978	17	20	value	value	NOUN
ejpam-3978	17	21	problems	problem	NOUN
ejpam-3978	17	22	with	with	ADP
ejpam-3978	17	23	integral	integral	ADJ
ejpam-3978	17	24	boundary	boundary	ADJ
ejpam-3978	17	25	conditions	condition	NOUN
ejpam-3978	17	26	constitute	constitute	VERB
ejpam-3978	17	27	a	a	DET
ejpam-3978	17	28	very	very	ADV
ejpam-3978	17	29	interesting	interesting	ADJ
ejpam-3978	17	30	and	and	CCONJ
ejpam-3978	17	31	important	important	ADJ
ejpam-3978	17	32	class	class	NOUN
ejpam-3978	17	33	of	of	ADP
ejpam-3978	17	34	problems	problem	NOUN
ejpam-3978	17	35	presenting	present	VERB
ejpam-3978	17	36	both	both	CCONJ
ejpam-3978	17	37	theoretical	theoretical	ADJ
ejpam-3978	17	38	and	and	CCONJ
ejpam-3978	17	39	practical	practical	ADJ
ejpam-3978	17	40	importance	importance	NOUN
ejpam-3978	17	41	.	.	PUNCT
ejpam-3978	18	1	they	they	PRON
ejpam-3978	18	2	include	include	VERB
ejpam-3978	18	3	two	two	NUM
ejpam-3978	18	4	,	,	PUNCT
ejpam-3978	18	5	three	three	NUM
ejpam-3978	18	6	,	,	PUNCT
ejpam-3978	18	7	multipoint	multipoint	NOUN
ejpam-3978	18	8	and	and	CCONJ
ejpam-3978	18	9	nonlocal	nonlocal	ADJ
ejpam-3978	18	10	boundary	boundary	ADJ
ejpam-3978	18	11	value	value	NOUN
ejpam-3978	18	12	problems	problem	NOUN
ejpam-3978	18	13	as	as	ADP
ejpam-3978	18	14	special	special	ADJ
ejpam-3978	18	15	cases	case	NOUN
ejpam-3978	18	16	.	.	PUNCT
ejpam-3978	19	1	integral	integral	ADJ
ejpam-3978	19	2	boundary	boundary	ADJ
ejpam-3978	19	3	value	value	NOUN
ejpam-3978	19	4	problems	problem	NOUN
ejpam-3978	19	5	occur	occur	VERB
ejpam-3978	19	6	in	in	ADP
ejpam-3978	19	7	the	the	DET
ejpam-3978	19	8	mathematical	mathematical	ADJ
ejpam-3978	19	9	modeling	modeling	NOUN
ejpam-3978	19	10	of	of	ADP
ejpam-3978	19	11	variety	variety	NOUN
ejpam-3978	19	12	of	of	ADP
ejpam-3978	19	13	physics	physics	NOUN
ejpam-3978	19	14	processes	process	NOUN
ejpam-3978	19	15	and	and	CCONJ
ejpam-3978	19	16	have	have	AUX
ejpam-3978	19	17	recently	recently	ADV
ejpam-3978	19	18	received	receive	VERB
ejpam-3978	19	19	considerable	considerable	ADJ
ejpam-3978	19	20	attention	attention	NOUN
ejpam-3978	19	21	.	.	PUNCT
ejpam-3978	20	1	for	for	ADP
ejpam-3978	20	2	some	some	DET
ejpam-3978	20	3	recent	recent	ADJ
ejpam-3978	20	4	works	work	NOUN
ejpam-3978	20	5	on	on	ADP
ejpam-3978	20	6	the	the	DET
ejpam-3978	20	7	boundary	boundary	ADJ
ejpam-3978	20	8	value	value	NOUN
ejpam-3978	20	9	problems	problem	NOUN
ejpam-3978	20	10	with	with	ADP
ejpam-3978	20	11	integral	integral	ADJ
ejpam-3978	20	12	boundary	boundary	ADJ
ejpam-3978	20	13	conditions	condition	NOUN
ejpam-3978	20	14	we	we	PRON
ejpam-3978	20	15	refer	refer	VERB
ejpam-3978	20	16	to	to	ADP
ejpam-3978	20	17	[	[	PUNCT
ejpam-3978	20	18	7	7	NUM
ejpam-3978	20	19	-	-	SYM
ejpam-3978	20	20	15	15	NUM
ejpam-3978	20	21	,	,	PUNCT
ejpam-3978	20	22	17	17	NUM
ejpam-3978	20	23	-	-	SYM
ejpam-3978	20	24	19	19	NUM
ejpam-3978	20	25	,	,	PUNCT
ejpam-3978	20	26	21	21	NUM
ejpam-3978	20	27	-	-	SYM
ejpam-3978	20	28	25	25	NUM
ejpam-3978	20	29	]	]	PUNCT
ejpam-3978	20	30	and	and	CCONJ
ejpam-3978	20	31	the	the	DET
ejpam-3978	20	32	references	reference	NOUN
ejpam-3978	20	33	cited	cite	VERB
ejpam-3978	20	34	therein	therein	ADV
ejpam-3978	20	35	.	.	PUNCT
ejpam-3978	21	1	in	in	ADP
ejpam-3978	21	2	this	this	DET
ejpam-3978	21	3	paper	paper	NOUN
ejpam-3978	21	4	,	,	PUNCT
ejpam-3978	21	5	we	we	PRON
ejpam-3978	21	6	study	study	VERB
ejpam-3978	21	7	existence	existence	NOUN
ejpam-3978	21	8	and	and	CCONJ
ejpam-3978	21	9	uniqueness	uniqueness	NOUN
ejpam-3978	21	10	of	of	ADP
ejpam-3978	21	11	nonlinear	nonlinear	ADJ
ejpam-3978	21	12	fractional	fractional	ADJ
ejpam-3978	21	13	differential	differential	ADJ
ejpam-3978	21	14	equations	equation	NOUN
ejpam-3978	21	15	of	of	ADP
ejpam-3978	21	16	the	the	DET
ejpam-3978	21	17	type	type	NOUN
ejpam-3978	21	18	cdα	cdα	NOUN
ejpam-3978	21	19	0+x	0+x	NUM
ejpam-3978	21	20	(	(	PUNCT
ejpam-3978	21	21	t	t	NOUN
ejpam-3978	21	22	)	)	PUNCT
ejpam-3978	22	1	=	=	SYM
ejpam-3978	22	2	f	f	PROPN
ejpam-3978	22	3	(	(	PUNCT
ejpam-3978	22	4	t	t	PROPN
ejpam-3978	22	5	,	,	PUNCT
ejpam-3978	22	6	x	x	X
ejpam-3978	22	7	(	(	PUNCT
ejpam-3978	22	8	t	t	PROPN
ejpam-3978	22	9	)	)	PUNCT
ejpam-3978	22	10	)	)	PUNCT
ejpam-3978	22	11	,	,	PUNCT
ejpam-3978	22	12	for	for	ADP
ejpam-3978	22	13	t	t	PROPN
ejpam-3978	22	14	∈	∈	PROPN
ejpam-3978	23	1	[	[	X
ejpam-3978	23	2	0	0	NUM
ejpam-3978	23	3	,	,	PUNCT
ejpam-3978	23	4	t	t	X
ejpam-3978	23	5	]	]	PUNCT
ejpam-3978	23	6	,	,	PUNCT
ejpam-3978	23	7	(	(	PUNCT
ejpam-3978	23	8	1	1	X
ejpam-3978	23	9	)	)	PUNCT
ejpam-3978	23	10	subject	subject	NOUN
ejpam-3978	23	11	to	to	ADP
ejpam-3978	23	12	two	two	NUM
ejpam-3978	23	13	-	-	PUNCT
ejpam-3978	23	14	point	point	NOUN
ejpam-3978	23	15	and	and	CCONJ
ejpam-3978	23	16	integral	integral	ADJ
ejpam-3978	23	17	boundary	boundary	ADJ
ejpam-3978	23	18	conditions	condition	NOUN
ejpam-3978	23	19	ax	ax	NOUN
ejpam-3978	23	20	(	(	PUNCT
ejpam-3978	23	21	0	0	NUM
ejpam-3978	23	22	)	)	PUNCT
ejpam-3978	23	23	+	+	CCONJ
ejpam-3978	24	1	t∫	t∫	ADJ
ejpam-3978	24	2	0	0	NUM
ejpam-3978	24	3	n	n	PROPN
ejpam-3978	24	4	(	(	PUNCT
ejpam-3978	24	5	t)x	t)x	X
ejpam-3978	24	6	(	(	PUNCT
ejpam-3978	24	7	t	t	NOUN
ejpam-3978	24	8	)	)	PUNCT
ejpam-3978	24	9	dt+bx	dt+bx	X
ejpam-3978	24	10	(	(	PUNCT
ejpam-3978	24	11	t	t	NOUN
ejpam-3978	24	12	)	)	PUNCT
ejpam-3978	24	13	=	=	SYM
ejpam-3978	25	1	c	c	X
ejpam-3978	25	2	,	,	PUNCT
ejpam-3978	25	3	(	(	PUNCT
ejpam-3978	25	4	2	2	X
ejpam-3978	25	5	)	)	PUNCT
ejpam-3978	25	6	where	where	SCONJ
ejpam-3978	25	7	0	0	NUM
ejpam-3978	25	8	<	<	X
ejpam-3978	25	9	α	α	X
ejpam-3978	25	10	<	<	X
ejpam-3978	25	11	1	1	NUM
ejpam-3978	25	12	,	,	PUNCT
ejpam-3978	25	13	cdα	cdα	NOUN
ejpam-3978	25	14	0	0	NUM
ejpam-3978	25	15	+	+	NUM
ejpam-3978	25	16	is	be	AUX
ejpam-3978	25	17	the	the	DET
ejpam-3978	25	18	caputo	caputo	PROPN
ejpam-3978	25	19	fractional	fractional	ADJ
ejpam-3978	25	20	derivatives	derivative	NOUN
ejpam-3978	25	21	,	,	PUNCT
ejpam-3978	25	22	a	a	DET
ejpam-3978	25	23	,	,	PUNCT
ejpam-3978	25	24	b	b	PROPN
ejpam-3978	25	25	∈	∈	ADJ
ejpam-3978	25	26	rn×n	rn×n	NOUN
ejpam-3978	25	27	and	and	CCONJ
ejpam-3978	25	28	n	n	PROPN
ejpam-3978	25	29	(	(	PUNCT
ejpam-3978	25	30	t	t	PROPN
ejpam-3978	25	31	)	)	PUNCT
ejpam-3978	25	32	:	:	PUNCT
ejpam-3978	26	1	[	[	X
ejpam-3978	26	2	0	0	NUM
ejpam-3978	26	3	,	,	PUNCT
ejpam-3978	26	4	t	t	X
ejpam-3978	26	5	]	]	PUNCT
ejpam-3978	26	6	→	→	SYM
ejpam-3978	26	7	rn×n	rn×n	PROPN
ejpam-3978	26	8	are	be	AUX
ejpam-3978	26	9	given	give	VERB
ejpam-3978	26	10	matrices	matrix	NOUN
ejpam-3978	26	11	and	and	CCONJ
ejpam-3978	26	12	det	det	NOUN
ejpam-3978	26	13	(	(	PUNCT
ejpam-3978	26	14	a+	a+	PUNCT
ejpam-3978	26	15	t∫	t∫	PROPN
ejpam-3978	26	16	0	0	NUM
ejpam-3978	26	17	n	n	PROPN
ejpam-3978	26	18	(	(	PUNCT
ejpam-3978	26	19	t	t	NOUN
ejpam-3978	26	20	)	)	PUNCT
ejpam-3978	26	21	dt+b	dt+b	NOUN
ejpam-3978	26	22	)	)	PUNCT
ejpam-3978	26	23	6=	6=	ADP
ejpam-3978	26	24	0	0	NUM
ejpam-3978	26	25	.	.	PUNCT
ejpam-3978	27	1	the	the	DET
ejpam-3978	27	2	paper	paper	NOUN
ejpam-3978	27	3	is	be	AUX
ejpam-3978	27	4	organized	organize	VERB
ejpam-3978	27	5	as	as	SCONJ
ejpam-3978	27	6	follows	follow	VERB
ejpam-3978	27	7	.	.	PUNCT
ejpam-3978	28	1	in	in	ADP
ejpam-3978	28	2	section	section	NOUN
ejpam-3978	28	3	2	2	NUM
ejpam-3978	28	4	,	,	PUNCT
ejpam-3978	28	5	we	we	PRON
ejpam-3978	28	6	give	give	VERB
ejpam-3978	28	7	some	some	DET
ejpam-3978	28	8	notations	notation	NOUN
ejpam-3978	28	9	,	,	PUNCT
ejpam-3978	28	10	recall	recall	VERB
ejpam-3978	28	11	some	some	DET
ejpam-3978	28	12	concepts	concept	NOUN
ejpam-3978	28	13	,	,	PUNCT
ejpam-3978	28	14	and	and	CCONJ
ejpam-3978	28	15	introduce	introduce	VERB
ejpam-3978	28	16	a	a	DET
ejpam-3978	28	17	concept	concept	NOUN
ejpam-3978	28	18	of	of	ADP
ejpam-3978	28	19	a	a	DET
ejpam-3978	28	20	continuous	continuous	ADJ
ejpam-3978	28	21	solution	solution	NOUN
ejpam-3978	28	22	for	for	ADP
ejpam-3978	28	23	our	our	PRON
ejpam-3978	28	24	problem	problem	NOUN
ejpam-3978	28	25	.	.	PUNCT
ejpam-3978	29	1	in	in	ADP
ejpam-3978	29	2	section	section	NOUN
ejpam-3978	29	3	3	3	NUM
ejpam-3978	29	4	,	,	PUNCT
ejpam-3978	29	5	we	we	PRON
ejpam-3978	29	6	give	give	VERB
ejpam-3978	29	7	two	two	NUM
ejpam-3978	29	8	main	main	ADJ
ejpam-3978	29	9	results	result	NOUN
ejpam-3978	29	10	:	:	PUNCT
ejpam-3978	29	11	the	the	DET
ejpam-3978	29	12	first	first	ADJ
ejpam-3978	29	13	result	result	NOUN
ejpam-3978	29	14	based	base	VERB
ejpam-3978	29	15	on	on	ADP
ejpam-3978	29	16	the	the	DET
ejpam-3978	29	17	banach	banach	NOUN
ejpam-3978	29	18	contraction	contraction	NOUN
ejpam-3978	29	19	principle	principle	NOUN
ejpam-3978	29	20	and	and	CCONJ
ejpam-3978	29	21	the	the	DET
ejpam-3978	29	22	second	second	ADJ
ejpam-3978	29	23	result	result	NOUN
ejpam-3978	29	24	based	base	VERB
ejpam-3978	29	25	on	on	ADP
ejpam-3978	29	26	the	the	DET
ejpam-3978	29	27	krasnoselskiis	krasnoselskiis	ADJ
ejpam-3978	29	28	fixed	fix	VERB
ejpam-3978	29	29	point	point	NOUN
ejpam-3978	29	30	theorem	theorem	VERB
ejpam-3978	29	31	.	.	PROPN
ejpam-3978	29	32	2	2	X
ejpam-3978	29	33	.	.	NUM
ejpam-3978	29	34	preliminaries	preliminary	NOUN
ejpam-3978	29	35	in	in	ADP
ejpam-3978	29	36	this	this	DET
ejpam-3978	29	37	section	section	NOUN
ejpam-3978	29	38	,	,	PUNCT
ejpam-3978	29	39	we	we	PRON
ejpam-3978	29	40	introduce	introduce	VERB
ejpam-3978	29	41	notations	notation	NOUN
ejpam-3978	29	42	,	,	PUNCT
ejpam-3978	29	43	definitions	definition	NOUN
ejpam-3978	29	44	,	,	PUNCT
ejpam-3978	29	45	and	and	CCONJ
ejpam-3978	29	46	preliminary	preliminary	ADJ
ejpam-3978	29	47	facts	fact	NOUN
ejpam-3978	29	48	that	that	PRON
ejpam-3978	29	49	will	will	AUX
ejpam-3978	29	50	be	be	AUX
ejpam-3978	29	51	used	use	VERB
ejpam-3978	29	52	in	in	ADP
ejpam-3978	29	53	the	the	DET
ejpam-3978	29	54	remainder	remainder	NOUN
ejpam-3978	29	55	of	of	ADP
ejpam-3978	29	56	this	this	DET
ejpam-3978	29	57	paper	paper	NOUN
ejpam-3978	29	58	.	.	PUNCT
ejpam-3978	30	1	by	by	ADP
ejpam-3978	30	2	c	c	PROPN
ejpam-3978	30	3	(	(	PUNCT
ejpam-3978	30	4	[	[	X
ejpam-3978	30	5	0	0	NUM
ejpam-3978	30	6	,	,	PUNCT
ejpam-3978	30	7	t	t	X
ejpam-3978	30	8	]	]	PUNCT
ejpam-3978	30	9	;	;	PUNCT
ejpam-3978	30	10	rn	rn	X
ejpam-3978	30	11	)	)	PUNCT
ejpam-3978	30	12	we	we	PRON
ejpam-3978	30	13	denote	denote	VERB
ejpam-3978	30	14	the	the	DET
ejpam-3978	30	15	banach	banach	NOUN
ejpam-3978	30	16	space	space	NOUN
ejpam-3978	30	17	of	of	ADP
ejpam-3978	30	18	all	all	DET
ejpam-3978	30	19	continuous	continuous	ADJ
ejpam-3978	30	20	functions	function	NOUN
ejpam-3978	30	21	from	from	ADP
ejpam-3978	30	22	[	[	X
ejpam-3978	30	23	0	0	NUM
ejpam-3978	30	24	,	,	PUNCT
ejpam-3978	30	25	t	t	NOUN
ejpam-3978	30	26	]	]	PUNCT
ejpam-3978	30	27	into	into	ADP
ejpam-3978	30	28	rn	rn	PROPN
ejpam-3978	30	29	with	with	ADP
ejpam-3978	30	30	the	the	DET
ejpam-3978	30	31	norm	norm	NOUN
ejpam-3978	30	32	‖x‖	‖x‖	PROPN
ejpam-3978	30	33	=	=	SYM
ejpam-3978	30	34	max	max	PROPN
ejpam-3978	30	35	{	{	PUNCT
ejpam-3978	30	36	|x	|x	X
ejpam-3978	30	37	(	(	PUNCT
ejpam-3978	30	38	t)|	t)|	NOUN
ejpam-3978	30	39	:	:	PUNCT
ejpam-3978	30	40	t	t	PROPN
ejpam-3978	30	41	∈	∈	PROPN
ejpam-3978	31	1	[	[	X
ejpam-3978	31	2	0	0	NUM
ejpam-3978	31	3	,	,	PUNCT
ejpam-3978	31	4	t	t	X
ejpam-3978	31	5	]	]	PUNCT
ejpam-3978	31	6	}	}	PUNCT
ejpam-3978	31	7	,	,	PUNCT
ejpam-3978	31	8	where	where	SCONJ
ejpam-3978	31	9	|·|	|·|	NOUN
ejpam-3978	31	10	norm	norm	NOUN
ejpam-3978	31	11	in	in	ADP
ejpam-3978	31	12	rn	rn	PROPN
ejpam-3978	31	13	.	.	PUNCT
ejpam-3978	32	1	definition	definition	NOUN
ejpam-3978	32	2	1	1	NUM
ejpam-3978	32	3	.	.	PUNCT
ejpam-3978	33	1	the	the	DET
ejpam-3978	33	2	riemannliouville	riemannliouville	NOUN
ejpam-3978	33	3	fractional	fractional	NOUN
ejpam-3978	33	4	integral	integral	ADJ
ejpam-3978	33	5	of	of	ADP
ejpam-3978	33	6	order	order	NOUN
ejpam-3978	33	7	α	α	PROPN
ejpam-3978	33	8	>	>	X
ejpam-3978	33	9	0	0	NUM
ejpam-3978	33	10	of	of	ADP
ejpam-3978	33	11	a	a	DET
ejpam-3978	33	12	continuous	continuous	ADJ
ejpam-3978	33	13	function	function	NOUN
ejpam-3978	33	14	y	y	NOUN
ejpam-3978	33	15	:	:	PUNCT
ejpam-3978	34	1	[	[	X
ejpam-3978	34	2	0,∞)→	0,∞)→	NOUN
ejpam-3978	34	3	r	r	NOUN
ejpam-3978	34	4	,	,	PUNCT
ejpam-3978	34	5	is	be	AUX
ejpam-3978	34	6	defined	define	VERB
ejpam-3978	34	7	by	by	ADP
ejpam-3978	34	8	(	(	PUNCT
ejpam-3978	34	9	jαy	jαy	PROPN
ejpam-3978	34	10	)	)	PUNCT
ejpam-3978	34	11	(	(	PUNCT
ejpam-3978	34	12	x	x	X
ejpam-3978	34	13	)	)	PUNCT
ejpam-3978	34	14	=	=	SYM
ejpam-3978	34	15	1	1	NUM
ejpam-3978	34	16	γ	γ	X
ejpam-3978	34	17	(	(	PUNCT
ejpam-3978	34	18	α	α	NOUN
ejpam-3978	34	19	)	)	PUNCT
ejpam-3978	34	20	x∫	x∫	PROPN
ejpam-3978	34	21	0	0	NUM
ejpam-3978	34	22	(	(	PUNCT
ejpam-3978	34	23	x−	x−	PROPN
ejpam-3978	34	24	s)α−1y	s)α−1y	PROPN
ejpam-3978	34	25	(	(	PUNCT
ejpam-3978	34	26	s	s	NOUN
ejpam-3978	34	27	)	)	PUNCT
ejpam-3978	34	28	ds	ds	PROPN
ejpam-3978	34	29	,	,	PUNCT
ejpam-3978	34	30	provided	provide	VERB
ejpam-3978	34	31	the	the	DET
ejpam-3978	34	32	right	right	ADJ
ejpam-3978	34	33	-	-	PUNCT
ejpam-3978	34	34	hand	hand	NOUN
ejpam-3978	34	35	side	side	NOUN
ejpam-3978	34	36	exists	exist	VERB
ejpam-3978	34	37	on	on	ADP
ejpam-3978	34	38	(	(	PUNCT
ejpam-3978	34	39	0,∞	0,∞	NOUN
ejpam-3978	34	40	)	)	PUNCT
ejpam-3978	34	41	,	,	PUNCT
ejpam-3978	34	42	where	where	SCONJ
ejpam-3978	34	43	γ	γ	X
ejpam-3978	34	44	(	(	PUNCT
ejpam-3978	34	45	·	·	PUNCT
ejpam-3978	34	46	)	)	PUNCT
ejpam-3978	34	47	is	be	AUX
ejpam-3978	34	48	the	the	DET
ejpam-3978	34	49	gamma	gamma	NOUN
ejpam-3978	34	50	function	function	NOUN
ejpam-3978	34	51	defined	define	VERB
ejpam-3978	34	52	for	for	ADP
ejpam-3978	34	53	any	any	DET
ejpam-3978	34	54	complex	complex	ADJ
ejpam-3978	34	55	number	number	NOUN
ejpam-3978	34	56	z	z	NOUN
ejpam-3978	34	57	as	as	SCONJ
ejpam-3978	34	58	γ	γ	X
ejpam-3978	34	59	(	(	PUNCT
ejpam-3978	34	60	z	z	NOUN
ejpam-3978	34	61	)	)	PUNCT
ejpam-3978	34	62	=	=	SYM
ejpam-3978	34	63	∞∫	∞∫	PROPN
ejpam-3978	34	64	0	0	NUM
ejpam-3978	34	65	tz−1e−tdt	tz−1e−tdt	ADJ
ejpam-3978	34	66	.	.	PUNCT
ejpam-3978	35	1	y.a	y.a	PROPN
ejpam-3978	35	2	.	.	PROPN
ejpam-3978	35	3	sharifov	sharifov	PROPN
ejpam-3978	35	4	,	,	PUNCT
ejpam-3978	35	5	s.a	s.a	PROPN
ejpam-3978	35	6	.	.	PROPN
ejpam-3978	35	7	zamanova	zamanova	PROPN
ejpam-3978	35	8	,	,	PUNCT
ejpam-3978	35	9	r.a	r.a	PROPN
ejpam-3978	35	10	.	.	PROPN
ejpam-3978	35	11	sardarova	sardarova	PROPN
ejpam-3978	35	12	/	/	SYM
ejpam-3978	35	13	eur	eur	PROPN
ejpam-3978	35	14	.	.	PUNCT
ejpam-3978	36	1	j.	j.	PROPN
ejpam-3978	36	2	pure	pure	PROPN
ejpam-3978	36	3	appl	appl	PROPN
ejpam-3978	36	4	.	.	PROPN
ejpam-3978	36	5	math	math	PROPN
ejpam-3978	36	6	,	,	PUNCT
ejpam-3978	36	7	14	14	NUM
ejpam-3978	36	8	(	(	PUNCT
ejpam-3978	36	9	2	2	NUM
ejpam-3978	36	10	)	)	PUNCT
ejpam-3978	36	11	(	(	PUNCT
ejpam-3978	36	12	2021	2021	NUM
ejpam-3978	36	13	)	)	PUNCT
ejpam-3978	36	14	,	,	PUNCT
ejpam-3978	36	15	608	608	NUM
ejpam-3978	36	16	-	-	SYM
ejpam-3978	36	17	617	617	NUM
ejpam-3978	36	18	610	610	NUM
ejpam-3978	36	19	definition	definition	NOUN
ejpam-3978	36	20	2	2	NUM
ejpam-3978	36	21	.	.	PUNCT
ejpam-3978	37	1	the	the	DET
ejpam-3978	37	2	(	(	PUNCT
ejpam-3978	37	3	right	right	ADV
ejpam-3978	37	4	-	-	PUNCT
ejpam-3978	37	5	sided	sided	ADJ
ejpam-3978	37	6	)	)	PUNCT
ejpam-3978	37	7	riemann	riemann	PROPN
ejpam-3978	37	8	-	-	PUNCT
ejpam-3978	37	9	liouville	liouville	VERB
ejpam-3978	37	10	fractional	fractional	ADJ
ejpam-3978	37	11	derivative	derivative	NOUN
ejpam-3978	37	12	is	be	AUX
ejpam-3978	37	13	defined	define	VERB
ejpam-3978	37	14	by	by	ADP
ejpam-3978	37	15	rldαy	rldαy	NOUN
ejpam-3978	37	16	=	=	SYM
ejpam-3978	37	17	(	(	PUNCT
ejpam-3978	37	18	dαy	dαy	PROPN
ejpam-3978	37	19	)	)	PUNCT
ejpam-3978	37	20	(	(	PUNCT
ejpam-3978	37	21	x	x	X
ejpam-3978	37	22	)	)	PUNCT
ejpam-3978	37	23	=	=	SYM
ejpam-3978	38	1	d	d	X
ejpam-3978	38	2	dxn	dxn	X
ejpam-3978	38	3	(	(	PUNCT
ejpam-3978	38	4	jn−αy	jn−αy	X
ejpam-3978	38	5	)	)	PUNCT
ejpam-3978	38	6	(	(	PUNCT
ejpam-3978	38	7	x	x	X
ejpam-3978	38	8	)	)	PUNCT
ejpam-3978	38	9	,	,	PUNCT
ejpam-3978	38	10	x	x	X
ejpam-3978	38	11	>	>	X
ejpam-3978	38	12	0	0	NUM
ejpam-3978	38	13	,	,	PUNCT
ejpam-3978	38	14	where	where	SCONJ
ejpam-3978	38	15	n	n	NOUN
ejpam-3978	38	16	=	=	PUNCT
ejpam-3978	39	1	[	[	X
ejpam-3978	39	2	α	α	X
ejpam-3978	39	3	]	]	X
ejpam-3978	39	4	+	+	NOUN
ejpam-3978	39	5	1	1	NUM
ejpam-3978	39	6	,	,	PUNCT
ejpam-3978	39	7	[	[	X
ejpam-3978	39	8	α	α	X
ejpam-3978	39	9	]	]	X
ejpam-3978	39	10	,	,	PUNCT
ejpam-3978	39	11	denotes	denote	VERB
ejpam-3978	39	12	the	the	DET
ejpam-3978	39	13	integer	integer	NOUN
ejpam-3978	39	14	part	part	NOUN
ejpam-3978	39	15	of	of	ADP
ejpam-3978	39	16	the	the	DET
ejpam-3978	39	17	real	real	ADJ
ejpam-3978	39	18	number	number	NOUN
ejpam-3978	39	19	α	α	NOUN
ejpam-3978	39	20	,	,	PUNCT
ejpam-3978	39	21	provided	provide	VERB
ejpam-3978	39	22	the	the	DET
ejpam-3978	39	23	righthand	righthand	NOUN
ejpam-3978	39	24	side	side	NOUN
ejpam-3978	39	25	is	be	AUX
ejpam-3978	39	26	point	point	ADV
ejpam-3978	39	27	-	-	PUNCT
ejpam-3978	39	28	wise	wise	ADJ
ejpam-3978	39	29	defined	define	VERB
ejpam-3978	39	30	on	on	ADP
ejpam-3978	39	31	(	(	PUNCT
ejpam-3978	39	32	0,∞	0,∞	NOUN
ejpam-3978	39	33	)	)	PUNCT
ejpam-3978	39	34	.	.	PUNCT
ejpam-3978	40	1	the	the	DET
ejpam-3978	40	2	riemann	riemann	PROPN
ejpam-3978	40	3	-	-	PUNCT
ejpam-3978	40	4	liouville	liouville	VERB
ejpam-3978	40	5	fractional	fractional	ADJ
ejpam-3978	40	6	derivative	derivative	NOUN
ejpam-3978	40	7	is	be	AUX
ejpam-3978	40	8	left	leave	VERB
ejpam-3978	40	9	-	-	PUNCT
ejpam-3978	40	10	inverse	inverse	NOUN
ejpam-3978	40	11	(	(	PUNCT
ejpam-3978	40	12	but	but	CCONJ
ejpam-3978	40	13	not	not	PART
ejpam-3978	40	14	right	right	ADJ
ejpam-3978	40	15	-	-	PUNCT
ejpam-3978	40	16	inverse	inverse	NOUN
ejpam-3978	40	17	)	)	PUNCT
ejpam-3978	40	18	of	of	ADP
ejpam-3978	40	19	the	the	DET
ejpam-3978	40	20	riemann	riemann	PROPN
ejpam-3978	40	21	-	-	PUNCT
ejpam-3978	40	22	liouville	liouville	VERB
ejpam-3978	40	23	fractional	fractional	ADJ
ejpam-3978	40	24	integral	integral	ADJ
ejpam-3978	40	25	,	,	PUNCT
ejpam-3978	40	26	which	which	PRON
ejpam-3978	40	27	is	be	AUX
ejpam-3978	40	28	a	a	DET
ejpam-3978	40	29	natural	natural	ADJ
ejpam-3978	40	30	generalization	generalization	NOUN
ejpam-3978	40	31	of	of	ADP
ejpam-3978	40	32	the	the	DET
ejpam-3978	40	33	cauchy	cauchy	ADJ
ejpam-3978	40	34	formula	formula	NOUN
ejpam-3978	40	35	for	for	ADP
ejpam-3978	40	36	the	the	DET
ejpam-3978	40	37	n	n	ADV
ejpam-3978	40	38	-	-	ADJ
ejpam-3978	40	39	fold	fold	ADJ
ejpam-3978	40	40	primitive	primitive	ADJ
ejpam-3978	40	41	of	of	ADP
ejpam-3978	40	42	a	a	DET
ejpam-3978	40	43	function	function	NOUN
ejpam-3978	40	44	y.	y.	NOUN
ejpam-3978	40	45	as	as	ADP
ejpam-3978	40	46	to	to	ADP
ejpam-3978	40	47	the	the	DET
ejpam-3978	40	48	initial	initial	ADJ
ejpam-3978	40	49	value	value	NOUN
ejpam-3978	40	50	problems	problem	NOUN
ejpam-3978	40	51	for	for	ADP
ejpam-3978	40	52	fractional	fractional	ADJ
ejpam-3978	40	53	differential	differential	ADJ
ejpam-3978	40	54	equations	equation	NOUN
ejpam-3978	40	55	with	with	ADP
ejpam-3978	40	56	fractional	fractional	ADJ
ejpam-3978	40	57	derivatives	derivative	NOUN
ejpam-3978	40	58	in	in	ADP
ejpam-3978	40	59	the	the	DET
ejpam-3978	40	60	riemann	riemann	PROPN
ejpam-3978	40	61	-	-	PUNCT
ejpam-3978	40	62	liouville	liouville	VERB
ejpam-3978	40	63	sense	sense	NOUN
ejpam-3978	40	64	,	,	PUNCT
ejpam-3978	40	65	they	they	PRON
ejpam-3978	40	66	should	should	AUX
ejpam-3978	40	67	be	be	AUX
ejpam-3978	40	68	given	give	VERB
ejpam-3978	40	69	as	as	ADP
ejpam-3978	40	70	(	(	PUNCT
ejpam-3978	40	71	bounded	bounded	ADJ
ejpam-3978	40	72	)	)	PUNCT
ejpam-3978	40	73	initial	initial	ADJ
ejpam-3978	40	74	values	value	NOUN
ejpam-3978	40	75	of	of	ADP
ejpam-3978	40	76	the	the	DET
ejpam-3978	40	77	fractional	fractional	ADJ
ejpam-3978	40	78	integral	integral	ADJ
ejpam-3978	40	79	jn−α	jn−α	NOUN
ejpam-3978	40	80	and	and	CCONJ
ejpam-3978	40	81	of	of	ADP
ejpam-3978	40	82	its	its	PRON
ejpam-3978	40	83	integer	integer	NOUN
ejpam-3978	40	84	derivatives	derivative	NOUN
ejpam-3978	40	85	of	of	ADP
ejpam-3978	40	86	order	order	NOUN
ejpam-3978	40	87	k	k	NOUN
ejpam-3978	40	88	=	=	SYM
ejpam-3978	40	89	1	1	NUM
ejpam-3978	40	90	,	,	PUNCT
ejpam-3978	40	91	2	2	NUM
ejpam-3978	40	92	,	,	PUNCT
ejpam-3978	40	93	...	...	PUNCT
ejpam-3978	40	94	,	,	PUNCT
ejpam-3978	40	95	n−	n−	NOUN
ejpam-3978	40	96	1	1	NUM
ejpam-3978	40	97	.	.	PUNCT
ejpam-3978	41	1	definition	definition	NOUN
ejpam-3978	41	2	3	3	NUM
ejpam-3978	41	3	.	.	PUNCT
ejpam-3978	42	1	the	the	DET
ejpam-3978	42	2	caputo	caputo	PROPN
ejpam-3978	42	3	fractional	fractional	PROPN
ejpam-3978	42	4	derivative	derivative	NOUN
ejpam-3978	42	5	of	of	ADP
ejpam-3978	42	6	order	order	NOUN
ejpam-3978	42	7	α	α	X
ejpam-3978	42	8	>	>	X
ejpam-3978	42	9	0	0	NUM
ejpam-3978	42	10	of	of	ADP
ejpam-3978	42	11	a	a	DET
ejpam-3978	42	12	continuous	continuous	ADJ
ejpam-3978	42	13	function	function	NOUN
ejpam-3978	42	14	y	y	PROPN
ejpam-3978	42	15	,	,	PUNCT
ejpam-3978	42	16	is	be	AUX
ejpam-3978	42	17	defined	define	VERB
ejpam-3978	42	18	by	by	ADP
ejpam-3978	42	19	cdα	cdα	NOUN
ejpam-3978	42	20	0+y	0+y	NUM
ejpam-3978	42	21	=	=	SYM
ejpam-3978	42	22	(	(	PUNCT
ejpam-3978	42	23	dαy	dαy	PROPN
ejpam-3978	42	24	)	)	PUNCT
ejpam-3978	42	25	(	(	PUNCT
ejpam-3978	42	26	x	x	X
ejpam-3978	42	27	)	)	PUNCT
ejpam-3978	42	28	=	=	SYM
ejpam-3978	42	29	(	(	PUNCT
ejpam-3978	42	30	jn−αy(n	jn−αy(n	PROPN
ejpam-3978	42	31	)	)	PUNCT
ejpam-3978	42	32	)	)	PUNCT
ejpam-3978	43	1	(	(	PUNCT
ejpam-3978	43	2	x	x	X
ejpam-3978	43	3	)	)	PUNCT
ejpam-3978	43	4	,	,	PUNCT
ejpam-3978	43	5	n−	n−	NOUN
ejpam-3978	43	6	1	1	NUM
ejpam-3978	43	7	<	<	X
ejpam-3978	43	8	α	α	PROPN
ejpam-3978	43	9	≤	≤	PUNCT
ejpam-3978	43	10	n	n	CCONJ
ejpam-3978	43	11	,	,	PUNCT
ejpam-3978	43	12	x	x	X
ejpam-3978	43	13	>	>	X
ejpam-3978	43	14	0	0	NUM
ejpam-3978	43	15	,	,	PUNCT
ejpam-3978	43	16	provided	provide	VERB
ejpam-3978	43	17	the	the	DET
ejpam-3978	43	18	right	right	ADJ
ejpam-3978	43	19	-	-	PUNCT
ejpam-3978	43	20	hand	hand	NOUN
ejpam-3978	43	21	side	side	NOUN
ejpam-3978	43	22	is	be	AUX
ejpam-3978	43	23	point	point	ADV
ejpam-3978	43	24	-	-	PUNCT
ejpam-3978	43	25	wise	wise	ADJ
ejpam-3978	43	26	defined	define	VERB
ejpam-3978	43	27	on	on	ADP
ejpam-3978	43	28	(	(	PUNCT
ejpam-3978	43	29	a,∞	a,∞	PROPN
ejpam-3978	43	30	)	)	PUNCT
ejpam-3978	43	31	.	.	PUNCT
ejpam-3978	44	1	obviously	obviously	ADV
ejpam-3978	44	2	,	,	PUNCT
ejpam-3978	44	3	this	this	DET
ejpam-3978	44	4	definition	definition	NOUN
ejpam-3978	44	5	allows	allow	VERB
ejpam-3978	44	6	one	one	NUM
ejpam-3978	44	7	to	to	PART
ejpam-3978	44	8	consider	consider	VERB
ejpam-3978	44	9	the	the	DET
ejpam-3978	44	10	initial	initial	ADJ
ejpam-3978	44	11	-	-	PUNCT
ejpam-3978	44	12	value	value	NOUN
ejpam-3978	44	13	problems	problem	NOUN
ejpam-3978	44	14	for	for	ADP
ejpam-3978	44	15	the	the	DET
ejpam-3978	44	16	fractional	fractional	ADJ
ejpam-3978	44	17	differential	differential	ADJ
ejpam-3978	44	18	equations	equation	NOUN
ejpam-3978	44	19	with	with	ADP
ejpam-3978	44	20	initial	initial	ADJ
ejpam-3978	44	21	conditions	condition	NOUN
ejpam-3978	44	22	that	that	PRON
ejpam-3978	44	23	are	be	AUX
ejpam-3978	44	24	expressed	express	VERB
ejpam-3978	44	25	in	in	ADP
ejpam-3978	44	26	terms	term	NOUN
ejpam-3978	44	27	of	of	ADP
ejpam-3978	44	28	a	a	DET
ejpam-3978	44	29	given	give	VERB
ejpam-3978	44	30	number	number	NOUN
ejpam-3978	44	31	of	of	ADP
ejpam-3978	44	32	bounded	bounded	ADJ
ejpam-3978	44	33	values	value	NOUN
ejpam-3978	44	34	assumed	assume	VERB
ejpam-3978	44	35	by	by	ADP
ejpam-3978	44	36	the	the	DET
ejpam-3978	44	37	field	field	NOUN
ejpam-3978	44	38	variable	variable	NOUN
ejpam-3978	44	39	and	and	CCONJ
ejpam-3978	44	40	its	its	PRON
ejpam-3978	44	41	derivatives	derivative	NOUN
ejpam-3978	44	42	of	of	ADP
ejpam-3978	44	43	integer	integer	NOUN
ejpam-3978	44	44	order	order	NOUN
ejpam-3978	44	45	.	.	PUNCT
ejpam-3978	45	1	remark	remark	NOUN
ejpam-3978	45	2	1	1	NUM
ejpam-3978	45	3	.	.	PUNCT
ejpam-3978	46	1	[	[	X
ejpam-3978	46	2	20	20	NUM
ejpam-3978	46	3	]	]	PUNCT
ejpam-3978	46	4	under	under	ADP
ejpam-3978	46	5	natural	natural	ADJ
ejpam-3978	46	6	conditions	condition	NOUN
ejpam-3978	46	7	on	on	ADP
ejpam-3978	46	8	y(x	y(x	NOUN
ejpam-3978	46	9	)	)	PUNCT
ejpam-3978	46	10	,	,	PUNCT
ejpam-3978	46	11	the	the	DET
ejpam-3978	46	12	caputo	caputo	PROPN
ejpam-3978	46	13	fractional	fractional	PROPN
ejpam-3978	46	14	derivative	derivative	NOUN
ejpam-3978	46	15	becomes	become	VERB
ejpam-3978	46	16	the	the	DET
ejpam-3978	46	17	conventional	conventional	ADJ
ejpam-3978	46	18	integer	integer	NOUN
ejpam-3978	46	19	order	order	NOUN
ejpam-3978	46	20	derivative	derivative	NOUN
ejpam-3978	46	21	of	of	ADP
ejpam-3978	46	22	the	the	DET
ejpam-3978	46	23	function	function	NOUN
ejpam-3978	46	24	y(x	y(x	NOUN
ejpam-3978	46	25	)	)	PUNCT
ejpam-3978	46	26	as	as	ADP
ejpam-3978	46	27	α→	α→	PROPN
ejpam-3978	46	28	n.	n.	NOUN
ejpam-3978	46	29	remark	remark	NOUN
ejpam-3978	46	30	2	2	NUM
ejpam-3978	46	31	.	.	PUNCT
ejpam-3978	47	1	[	[	X
ejpam-3978	47	2	20	20	NUM
ejpam-3978	47	3	]	]	PUNCT
ejpam-3978	47	4	let	let	VERB
ejpam-3978	47	5	α	α	PRON
ejpam-3978	47	6	,	,	PUNCT
ejpam-3978	47	7	β	β	X
ejpam-3978	47	8	>	>	X
ejpam-3978	47	9	0	0	PUNCT
ejpam-3978	47	10	and	and	CCONJ
ejpam-3978	47	11	n	n	NOUN
ejpam-3978	47	12	=	=	PUNCT
ejpam-3978	48	1	[	[	X
ejpam-3978	48	2	α	α	X
ejpam-3978	48	3	]	]	X
ejpam-3978	48	4	+	+	CCONJ
ejpam-3978	48	5	1	1	NUM
ejpam-3978	48	6	;	;	PUNCT
ejpam-3978	48	7	then	then	ADV
ejpam-3978	48	8	the	the	DET
ejpam-3978	48	9	following	follow	VERB
ejpam-3978	48	10	relations	relation	NOUN
ejpam-3978	48	11	hold	hold	VERB
ejpam-3978	48	12	:	:	PUNCT
ejpam-3978	48	13	cdα	cdα	NOUN
ejpam-3978	48	14	0+t	0+t	PUNCT
ejpam-3978	49	1	β	β	X
ejpam-3978	49	2	=	=	SYM
ejpam-3978	49	3	γ(β	γ(β	PROPN
ejpam-3978	49	4	)	)	PUNCT
ejpam-3978	49	5	γ(β−α	γ(β−α	PROPN
ejpam-3978	49	6	)	)	PUNCT
ejpam-3978	50	1	t	t	PROPN
ejpam-3978	50	2	β−α	β−α	NOUN
ejpam-3978	50	3	,	,	PUNCT
ejpam-3978	50	4	β	β	X
ejpam-3978	50	5	>	>	X
ejpam-3978	50	6	n	n	PROPN
ejpam-3978	50	7	,	,	PUNCT
ejpam-3978	50	8	cdα	cdα	NOUN
ejpam-3978	50	9	0+t	0+t	PUNCT
ejpam-3978	51	1	k	k	X
ejpam-3978	51	2	=	=	PUNCT
ejpam-3978	51	3	0	0	PROPN
ejpam-3978	51	4	,	,	PUNCT
ejpam-3978	51	5	k	k	NOUN
ejpam-3978	51	6	=	=	SYM
ejpam-3978	51	7	0	0	NUM
ejpam-3978	51	8	,	,	PUNCT
ejpam-3978	51	9	1	1	NUM
ejpam-3978	51	10	,	,	PUNCT
ejpam-3978	51	11	...	...	PUNCT
ejpam-3978	51	12	,	,	PUNCT
ejpam-3978	51	13	n−	n−	NOUN
ejpam-3978	51	14	1	1	NUM
ejpam-3978	51	15	.	.	PUNCT
ejpam-3978	52	1	lemma	lemma	PROPN
ejpam-3978	52	2	1	1	NUM
ejpam-3978	52	3	.	.	PUNCT
ejpam-3978	53	1	[	[	X
ejpam-3978	53	2	20	20	NUM
ejpam-3978	53	3	]	]	PUNCT
ejpam-3978	53	4	for	for	ADP
ejpam-3978	53	5	α	α	PROPN
ejpam-3978	53	6	>	>	X
ejpam-3978	53	7	0	0	PROPN
ejpam-3978	53	8	,	,	PUNCT
ejpam-3978	54	1	y	y	PROPN
ejpam-3978	54	2	(	(	PUNCT
ejpam-3978	54	3	t	t	PROPN
ejpam-3978	54	4	)	)	PUNCT
ejpam-3978	54	5	∈	∈	PROPN
ejpam-3978	54	6	c	c	NOUN
ejpam-3978	54	7	(	(	PUNCT
ejpam-3978	54	8	[	[	X
ejpam-3978	54	9	0	0	NUM
ejpam-3978	54	10	,	,	PUNCT
ejpam-3978	54	11	t	t	X
ejpam-3978	54	12	]	]	PUNCT
ejpam-3978	54	13	)	)	PUNCT
ejpam-3978	54	14	∩	∩	PROPN
ejpam-3978	54	15	l1	l1	PROPN
ejpam-3978	54	16	(	(	PUNCT
ejpam-3978	54	17	[	[	X
ejpam-3978	54	18	0	0	NUM
ejpam-3978	54	19	,	,	PUNCT
ejpam-3978	54	20	t	t	X
ejpam-3978	54	21	]	]	PUNCT
ejpam-3978	54	22	)	)	PUNCT
ejpam-3978	54	23	the	the	DET
ejpam-3978	54	24	homogeneous	homogeneous	ADJ
ejpam-3978	54	25	fractional	fractional	ADJ
ejpam-3978	54	26	differential	differential	ADJ
ejpam-3978	54	27	equation	equation	NOUN
ejpam-3978	54	28	cdα	cdα	NOUN
ejpam-3978	54	29	0+y	0+y	NUM
ejpam-3978	54	30	(	(	PUNCT
ejpam-3978	54	31	t	t	PROPN
ejpam-3978	54	32	)	)	PUNCT
ejpam-3978	54	33	=	=	SYM
ejpam-3978	54	34	0	0	NUM
ejpam-3978	54	35	,	,	PUNCT
ejpam-3978	54	36	has	have	VERB
ejpam-3978	54	37	a	a	DET
ejpam-3978	54	38	solution	solution	NOUN
ejpam-3978	54	39	y	y	PROPN
ejpam-3978	54	40	(	(	PUNCT
ejpam-3978	54	41	t	t	PROPN
ejpam-3978	54	42	)	)	PUNCT
ejpam-3978	54	43	=	=	SYM
ejpam-3978	54	44	c0	c0	PROPN
ejpam-3978	54	45	+	+	X
ejpam-3978	54	46	c1t+	c1t+	PROPN
ejpam-3978	54	47	c2	c2	PROPN
ejpam-3978	54	48	t	t	PROPN
ejpam-3978	54	49	2	2	NUM
ejpam-3978	54	50	...	...	PUNCT
ejpam-3978	54	51	+	+	CCONJ
ejpam-3978	54	52	cn−1	cn−1	PROPN
ejpam-3978	54	53	t	t	PROPN
ejpam-3978	54	54	n−1	n−1	PROPN
ejpam-3978	54	55	,	,	PUNCT
ejpam-3978	54	56	where	where	SCONJ
ejpam-3978	54	57	ci	ci	PROPN
ejpam-3978	54	58	∈	∈	PROPN
ejpam-3978	54	59	r	r	PROPN
ejpam-3978	54	60	,	,	PUNCT
ejpam-3978	54	61	i	i	NOUN
ejpam-3978	54	62	=	=	NOUN
ejpam-3978	54	63	1	1	NUM
ejpam-3978	54	64	,	,	PUNCT
ejpam-3978	54	65	2	2	NUM
ejpam-3978	54	66	,	,	PUNCT
ejpam-3978	54	67	...	...	PUNCT
ejpam-3978	54	68	,	,	PUNCT
ejpam-3978	54	69	n−	n−	NOUN
ejpam-3978	54	70	1	1	NUM
ejpam-3978	54	71	and	and	CCONJ
ejpam-3978	54	72	n	n	NOUN
ejpam-3978	54	73	=	=	PUNCT
ejpam-3978	55	1	[	[	X
ejpam-3978	55	2	α	α	X
ejpam-3978	55	3	]	]	X
ejpam-3978	55	4	+	+	NOUN
ejpam-3978	55	5	1	1	X
ejpam-3978	55	6	.	.	X
ejpam-3978	55	7	lemma	lemma	PROPN
ejpam-3978	55	8	2	2	NUM
ejpam-3978	55	9	.	.	PUNCT
ejpam-3978	56	1	[	[	X
ejpam-3978	56	2	20	20	NUM
ejpam-3978	56	3	]	]	PUNCT
ejpam-3978	56	4	assume	assume	VERB
ejpam-3978	56	5	that	that	SCONJ
ejpam-3978	56	6	y	y	PROPN
ejpam-3978	56	7	(	(	PUNCT
ejpam-3978	56	8	t	t	PROPN
ejpam-3978	56	9	)	)	PUNCT
ejpam-3978	56	10	∈	∈	PROPN
ejpam-3978	56	11	c	c	NOUN
ejpam-3978	56	12	(	(	PUNCT
ejpam-3978	56	13	[	[	X
ejpam-3978	56	14	0	0	NUM
ejpam-3978	56	15	,	,	PUNCT
ejpam-3978	56	16	t	t	X
ejpam-3978	56	17	]	]	PUNCT
ejpam-3978	56	18	)	)	PUNCT
ejpam-3978	56	19	∩l1	∩l1	X
ejpam-3978	56	20	(	(	PUNCT
ejpam-3978	56	21	[	[	X
ejpam-3978	56	22	0	0	NUM
ejpam-3978	56	23	,	,	PUNCT
ejpam-3978	56	24	t	t	X
ejpam-3978	56	25	]	]	PUNCT
ejpam-3978	56	26	)	)	PUNCT
ejpam-3978	56	27	,	,	PUNCT
ejpam-3978	56	28	with	with	ADP
ejpam-3978	56	29	derivative	derivative	NOUN
ejpam-3978	56	30	of	of	ADP
ejpam-3978	56	31	order	order	NOUN
ejpam-3978	56	32	n	n	PRON
ejpam-3978	56	33	that	that	PRON
ejpam-3978	56	34	belongs	belong	VERB
ejpam-3978	56	35	to	to	ADP
ejpam-3978	56	36	c	c	PROPN
ejpam-3978	56	37	(	(	PUNCT
ejpam-3978	56	38	[	[	X
ejpam-3978	56	39	0	0	NUM
ejpam-3978	56	40	,	,	PUNCT
ejpam-3978	56	41	t	t	X
ejpam-3978	56	42	]	]	PUNCT
ejpam-3978	56	43	)	)	PUNCT
ejpam-3978	56	44	∩	∩	PROPN
ejpam-3978	56	45	l1	l1	PROPN
ejpam-3978	56	46	(	(	PUNCT
ejpam-3978	56	47	[	[	X
ejpam-3978	56	48	0	0	NUM
ejpam-3978	56	49	,	,	PUNCT
ejpam-3978	56	50	t	t	NOUN
ejpam-3978	56	51	]	]	PUNCT
ejpam-3978	56	52	)	)	PUNCT
ejpam-3978	56	53	.	.	PUNCT
ejpam-3978	57	1	then	then	ADV
ejpam-3978	57	2	iα0	iα0	PROPN
ejpam-3978	57	3	+	+	PROPN
ejpam-3978	57	4	cdα	cdα	NOUN
ejpam-3978	57	5	0+y	0+y	NUM
ejpam-3978	57	6	(	(	PUNCT
ejpam-3978	57	7	t	t	PROPN
ejpam-3978	57	8	)	)	PUNCT
ejpam-3978	57	9	=	=	SYM
ejpam-3978	57	10	y	y	PROPN
ejpam-3978	57	11	(	(	PUNCT
ejpam-3978	57	12	t	t	PROPN
ejpam-3978	57	13	)	)	PUNCT
ejpam-3978	58	1	+	+	CCONJ
ejpam-3978	58	2	c0	c0	PROPN
ejpam-3978	58	3	+	+	X
ejpam-3978	58	4	c1t+	c1t+	PROPN
ejpam-3978	58	5	c2	c2	PROPN
ejpam-3978	58	6	t	t	PROPN
ejpam-3978	58	7	2	2	NUM
ejpam-3978	58	8	...	...	PUNCT
ejpam-3978	58	9	+	+	CCONJ
ejpam-3978	58	10	cn−1	cn−1	PROPN
ejpam-3978	58	11	t	t	PROPN
ejpam-3978	58	12	n−1	n−1	PROPN
ejpam-3978	58	13	,	,	PUNCT
ejpam-3978	58	14	where	where	SCONJ
ejpam-3978	58	15	ci	ci	PROPN
ejpam-3978	58	16	∈	∈	PROPN
ejpam-3978	58	17	r	r	PROPN
ejpam-3978	58	18	,	,	PUNCT
ejpam-3978	58	19	i	i	NOUN
ejpam-3978	58	20	=	=	NOUN
ejpam-3978	58	21	1	1	NUM
ejpam-3978	58	22	,	,	PUNCT
ejpam-3978	58	23	2	2	NUM
ejpam-3978	58	24	,	,	PUNCT
ejpam-3978	58	25	...	...	PUNCT
ejpam-3978	58	26	,	,	PUNCT
ejpam-3978	58	27	n−	n−	NOUN
ejpam-3978	58	28	1	1	NUM
ejpam-3978	58	29	and	and	CCONJ
ejpam-3978	58	30	n	n	NOUN
ejpam-3978	58	31	=	=	PUNCT
ejpam-3978	59	1	[	[	X
ejpam-3978	59	2	α	α	X
ejpam-3978	59	3	]	]	X
ejpam-3978	59	4	+	+	NOUN
ejpam-3978	59	5	1	1	X
ejpam-3978	59	6	.	.	X
ejpam-3978	59	7	y.a	y.a	PROPN
ejpam-3978	59	8	.	.	PROPN
ejpam-3978	59	9	sharifov	sharifov	PROPN
ejpam-3978	59	10	,	,	PUNCT
ejpam-3978	60	1	s.a	s.a	PROPN
ejpam-3978	60	2	.	.	PROPN
ejpam-3978	60	3	zamanova	zamanova	PROPN
ejpam-3978	60	4	,	,	PUNCT
ejpam-3978	60	5	r.a	r.a	PROPN
ejpam-3978	60	6	.	.	PROPN
ejpam-3978	60	7	sardarova	sardarova	PROPN
ejpam-3978	60	8	/	/	SYM
ejpam-3978	60	9	eur	eur	PROPN
ejpam-3978	60	10	.	.	PUNCT
ejpam-3978	61	1	j.	j.	PROPN
ejpam-3978	61	2	pure	pure	PROPN
ejpam-3978	61	3	appl	appl	PROPN
ejpam-3978	61	4	.	.	PROPN
ejpam-3978	61	5	math	math	PROPN
ejpam-3978	61	6	,	,	PUNCT
ejpam-3978	61	7	14	14	NUM
ejpam-3978	61	8	(	(	PUNCT
ejpam-3978	61	9	2	2	NUM
ejpam-3978	61	10	)	)	PUNCT
ejpam-3978	61	11	(	(	PUNCT
ejpam-3978	61	12	2021	2021	NUM
ejpam-3978	61	13	)	)	PUNCT
ejpam-3978	61	14	,	,	PUNCT
ejpam-3978	61	15	608	608	NUM
ejpam-3978	61	16	-	-	SYM
ejpam-3978	61	17	617	617	NUM
ejpam-3978	61	18	611	611	NUM
ejpam-3978	61	19	lemma	lemma	PROPN
ejpam-3978	61	20	3	3	NUM
ejpam-3978	61	21	.	.	PUNCT
ejpam-3978	62	1	[	[	X
ejpam-3978	62	2	20	20	NUM
ejpam-3978	62	3	]	]	PUNCT
ejpam-3978	62	4	let	let	VERB
ejpam-3978	62	5	p	p	NOUN
ejpam-3978	62	6	,	,	PUNCT
ejpam-3978	62	7	q	q	X
ejpam-3978	62	8	≥	≥	NOUN
ejpam-3978	62	9	0	0	NUM
ejpam-3978	62	10	,	,	PUNCT
ejpam-3978	62	11	f	f	PROPN
ejpam-3978	62	12	∈	∈	PROPN
ejpam-3978	62	13	l1	l1	PROPN
ejpam-3978	62	14	(	(	PUNCT
ejpam-3978	62	15	[	[	X
ejpam-3978	62	16	0	0	NUM
ejpam-3978	62	17	,	,	PUNCT
ejpam-3978	62	18	t	t	NOUN
ejpam-3978	62	19	]	]	PUNCT
ejpam-3978	62	20	)	)	PUNCT
ejpam-3978	62	21	.	.	PUNCT
ejpam-3978	63	1	then	then	ADV
ejpam-3978	63	2	ip0+i	ip0+i	NOUN
ejpam-3978	63	3	q	q	PROPN
ejpam-3978	63	4	0+f	0+f	NUM
ejpam-3978	63	5	(	(	PUNCT
ejpam-3978	63	6	t	t	NOUN
ejpam-3978	63	7	)	)	PUNCT
ejpam-3978	63	8	=	=	PUNCT
ejpam-3978	63	9	ip+q0	ip+q0	PROPN
ejpam-3978	63	10	+	+	X
ejpam-3978	63	11	f	f	X
ejpam-3978	63	12	(	(	PUNCT
ejpam-3978	63	13	t	t	PROPN
ejpam-3978	63	14	)	)	PUNCT
ejpam-3978	63	15	=	=	VERB
ejpam-3978	64	1	iq0+i	iq0+i	VERB
ejpam-3978	64	2	p	p	NOUN
ejpam-3978	64	3	0+f	0+f	NUM
ejpam-3978	64	4	(	(	PUNCT
ejpam-3978	64	5	t	t	NOUN
ejpam-3978	64	6	)	)	PUNCT
ejpam-3978	64	7	is	be	AUX
ejpam-3978	64	8	satisfied	satisfied	ADJ
ejpam-3978	64	9	almost	almost	ADV
ejpam-3978	64	10	everywhere	everywhere	ADV
ejpam-3978	64	11	on	on	ADP
ejpam-3978	64	12	[	[	X
ejpam-3978	64	13	0	0	NUM
ejpam-3978	64	14	,	,	PUNCT
ejpam-3978	64	15	t	t	NOUN
ejpam-3978	64	16	]	]	PUNCT
ejpam-3978	64	17	.	.	PUNCT
ejpam-3978	65	1	moreover	moreover	ADV
ejpam-3978	65	2	,	,	PUNCT
ejpam-3978	65	3	if	if	SCONJ
ejpam-3978	65	4	f	f	PROPN
ejpam-3978	65	5	∈	∈	PROPN
ejpam-3978	65	6	c	c	X
ejpam-3978	65	7	(	(	PUNCT
ejpam-3978	65	8	[	[	X
ejpam-3978	65	9	0	0	NUM
ejpam-3978	65	10	,	,	PUNCT
ejpam-3978	65	11	t	t	X
ejpam-3978	65	12	]	]	PUNCT
ejpam-3978	65	13	)	)	PUNCT
ejpam-3978	65	14	,	,	PUNCT
ejpam-3978	65	15	then	then	ADV
ejpam-3978	65	16	(	(	PUNCT
ejpam-3978	65	17	14	14	NUM
ejpam-3978	65	18	)	)	PUNCT
ejpam-3978	65	19	is	be	AUX
ejpam-3978	65	20	true	true	ADJ
ejpam-3978	65	21	for	for	ADP
ejpam-3978	65	22	all	all	DET
ejpam-3978	65	23	t	t	NOUN
ejpam-3978	65	24	∈	∈	PROPN
ejpam-3978	66	1	[	[	X
ejpam-3978	66	2	0	0	NUM
ejpam-3978	66	3	,	,	PUNCT
ejpam-3978	66	4	t	t	NOUN
ejpam-3978	66	5	]	]	PUNCT
ejpam-3978	66	6	.	.	PUNCT
ejpam-3978	67	1	lemma	lemma	PROPN
ejpam-3978	67	2	4	4	X
ejpam-3978	67	3	.	.	PUNCT
ejpam-3978	68	1	[	[	X
ejpam-3978	68	2	20	20	NUM
ejpam-3978	68	3	]	]	PUNCT
ejpam-3978	68	4	if	if	SCONJ
ejpam-3978	68	5	α	α	PROPN
ejpam-3978	68	6	>	>	X
ejpam-3978	68	7	0	0	PROPN
ejpam-3978	68	8	,	,	PUNCT
ejpam-3978	68	9	f	f	PROPN
ejpam-3978	68	10	∈	∈	PROPN
ejpam-3978	68	11	c	c	X
ejpam-3978	68	12	(	(	PUNCT
ejpam-3978	68	13	[	[	X
ejpam-3978	68	14	0	0	NUM
ejpam-3978	68	15	,	,	PUNCT
ejpam-3978	68	16	t	t	X
ejpam-3978	68	17	]	]	PUNCT
ejpam-3978	68	18	)	)	PUNCT
ejpam-3978	68	19	,	,	PUNCT
ejpam-3978	68	20	then	then	ADV
ejpam-3978	68	21	cdα	cdα	NOUN
ejpam-3978	68	22	0+i	0+i	NUM
ejpam-3978	69	1	α	α	NOUN
ejpam-3978	69	2	0+f	0+f	NUM
ejpam-3978	69	3	(	(	PUNCT
ejpam-3978	69	4	t	t	NOUN
ejpam-3978	69	5	)	)	PUNCT
ejpam-3978	69	6	=	=	SYM
ejpam-3978	70	1	f	f	PROPN
ejpam-3978	70	2	(	(	PUNCT
ejpam-3978	70	3	t	t	PROPN
ejpam-3978	70	4	)	)	PUNCT
ejpam-3978	70	5	for	for	ADP
ejpam-3978	70	6	all	all	DET
ejpam-3978	70	7	t	t	NOUN
ejpam-3978	70	8	∈	∈	PROPN
ejpam-3978	71	1	[	[	X
ejpam-3978	71	2	0	0	NUM
ejpam-3978	71	3	,	,	PUNCT
ejpam-3978	71	4	t	t	X
ejpam-3978	71	5	]	]	PUNCT
ejpam-3978	71	6	.	.	PUNCT
ejpam-3978	72	1	we	we	PRON
ejpam-3978	72	2	have	have	VERB
ejpam-3978	72	3	the	the	DET
ejpam-3978	72	4	following	following	ADJ
ejpam-3978	72	5	result	result	NOUN
ejpam-3978	72	6	which	which	PRON
ejpam-3978	72	7	is	be	AUX
ejpam-3978	72	8	useful	useful	ADJ
ejpam-3978	72	9	in	in	ADP
ejpam-3978	72	10	what	what	PRON
ejpam-3978	72	11	follows	follow	VERB
ejpam-3978	72	12	.	.	PUNCT
ejpam-3978	73	1	theorem	theorem	NOUN
ejpam-3978	73	2	1	1	NUM
ejpam-3978	73	3	.	.	PUNCT
ejpam-3978	74	1	let	let	VERB
ejpam-3978	74	2	y	y	PROPN
ejpam-3978	74	3	∈	∈	PROPN
ejpam-3978	74	4	c	c	X
ejpam-3978	74	5	(	(	PUNCT
ejpam-3978	74	6	[	[	X
ejpam-3978	74	7	0	0	NUM
ejpam-3978	74	8	,	,	PUNCT
ejpam-3978	74	9	t	t	X
ejpam-3978	74	10	]	]	PUNCT
ejpam-3978	74	11	;	;	PUNCT
ejpam-3978	74	12	rn	rn	PROPN
ejpam-3978	74	13	)	)	PUNCT
ejpam-3978	74	14	.	.	PUNCT
ejpam-3978	75	1	then	then	ADV
ejpam-3978	75	2	the	the	DET
ejpam-3978	75	3	unique	unique	ADJ
ejpam-3978	75	4	solution	solution	NOUN
ejpam-3978	75	5	of	of	ADP
ejpam-3978	75	6	the	the	DET
ejpam-3978	75	7	linear	linear	ADJ
ejpam-3978	75	8	boundary	boundary	ADJ
ejpam-3978	75	9	value	value	NOUN
ejpam-3978	75	10	problem	problem	NOUN
ejpam-3978	75	11			PUNCT
ejpam-3978	75	12	cdα	cdα	NOUN
ejpam-3978	75	13	0+x	0+x	NUM
ejpam-3978	75	14	(	(	PUNCT
ejpam-3978	75	15	t	t	NOUN
ejpam-3978	75	16	)	)	PUNCT
ejpam-3978	75	17	=	=	SYM
ejpam-3978	75	18	y(t	y(t	PROPN
ejpam-3978	75	19	)	)	PUNCT
ejpam-3978	75	20	,	,	PUNCT
ejpam-3978	75	21	ax(0	ax(0	PROPN
ejpam-3978	75	22	)	)	PUNCT
ejpam-3978	75	23	+	+	CCONJ
ejpam-3978	75	24	t∫	t∫	ADJ
ejpam-3978	75	25	0	0	NUM
ejpam-3978	75	26	n(t)x(t)dt+bx(t	n(t)x(t)dt+bx(t	NOUN
ejpam-3978	75	27	)	)	PUNCT
ejpam-3978	75	28	=	=	SYM
ejpam-3978	76	1	c	c	X
ejpam-3978	76	2	,	,	PUNCT
ejpam-3978	76	3	(	(	PUNCT
ejpam-3978	76	4	3	3	X
ejpam-3978	76	5	)	)	PUNCT
ejpam-3978	76	6	is	be	AUX
ejpam-3978	76	7	given	give	VERB
ejpam-3978	76	8	by	by	ADP
ejpam-3978	76	9	x	x	PROPN
ejpam-3978	76	10	(	(	PUNCT
ejpam-3978	76	11	t	t	NOUN
ejpam-3978	76	12	)	)	PUNCT
ejpam-3978	76	13	=	=	PUNCT
ejpam-3978	76	14	n−1c	n−1c	NOUN
ejpam-3978	76	15	+	+	NOUN
ejpam-3978	76	16	1	1	NUM
ejpam-3978	76	17	γ	γ	X
ejpam-3978	76	18	(	(	PUNCT
ejpam-3978	76	19	α	α	NOUN
ejpam-3978	76	20	)	)	PUNCT
ejpam-3978	76	21	t∫	t∫	PROPN
ejpam-3978	76	22	0	0	NUM
ejpam-3978	76	23	(	(	PUNCT
ejpam-3978	76	24	t−	t−	PROPN
ejpam-3978	76	25	s)α−1y	s)α−1y	NOUN
ejpam-3978	76	26	(	(	PUNCT
ejpam-3978	76	27	s	s	X
ejpam-3978	76	28	)	)	PUNCT
ejpam-3978	76	29	ds	ds	ADJ
ejpam-3978	76	30	−n	−n	NOUN
ejpam-3978	76	31	−1	−1	NOUN
ejpam-3978	76	32	γ	γ	X
ejpam-3978	76	33	(	(	PUNCT
ejpam-3978	76	34	α	α	NOUN
ejpam-3978	76	35	)	)	PUNCT
ejpam-3978	76	36	t∫	t∫	PROPN
ejpam-3978	76	37	0	0	NUM
ejpam-3978	76	38	n	n	PROPN
ejpam-3978	76	39	(	(	PUNCT
ejpam-3978	76	40	t	t	PROPN
ejpam-3978	76	41	)	)	PUNCT
ejpam-3978	76	42	t∫	t∫	PROPN
ejpam-3978	76	43	0	0	NUM
ejpam-3978	76	44	(	(	PUNCT
ejpam-3978	76	45	t−	t−	PROPN
ejpam-3978	76	46	s)α−1	s)α−1	PROPN
ejpam-3978	76	47	y	y	PROPN
ejpam-3978	76	48	(	(	PUNCT
ejpam-3978	76	49	s	s	NOUN
ejpam-3978	76	50	)	)	PUNCT
ejpam-3978	76	51	dsdt−	dsdt−	ADJ
ejpam-3978	76	52	n−1b	n−1b	X
ejpam-3978	76	53	γ	γ	X
ejpam-3978	76	54	(	(	PUNCT
ejpam-3978	76	55	α	α	NOUN
ejpam-3978	76	56	)	)	PUNCT
ejpam-3978	76	57	t∫	t∫	PROPN
ejpam-3978	76	58	0	0	NUM
ejpam-3978	77	1	(	(	PUNCT
ejpam-3978	77	2	t	t	NOUN
ejpam-3978	77	3	−	−	PROPN
ejpam-3978	77	4	s)α−1y	s)α−1y	NOUN
ejpam-3978	77	5	(	(	PUNCT
ejpam-3978	77	6	s	s	NOUN
ejpam-3978	77	7	)	)	PUNCT
ejpam-3978	77	8	ds	ds	ADJ
ejpam-3978	77	9	,	,	PUNCT
ejpam-3978	77	10	(	(	PUNCT
ejpam-3978	77	11	4	4	X
ejpam-3978	77	12	)	)	PUNCT
ejpam-3978	77	13	where	where	SCONJ
ejpam-3978	77	14	n	n	ADV
ejpam-3978	77	15	=	=	SYM
ejpam-3978	77	16	a+	a+	SYM
ejpam-3978	77	17	t∫	t∫	NOUN
ejpam-3978	77	18	0	0	NUM
ejpam-3978	77	19	n(t)dt+b	n(t)dt+b	ADJ
ejpam-3978	77	20			PROPN
ejpam-3978	77	21	.	.	PUNCT
ejpam-3978	78	1	proof	proof	NOUN
ejpam-3978	78	2	.	.	PUNCT
ejpam-3978	79	1	assume	assume	VERB
ejpam-3978	79	2	that	that	SCONJ
ejpam-3978	79	3	x	x	PRON
ejpam-3978	79	4	is	be	AUX
ejpam-3978	79	5	a	a	DET
ejpam-3978	79	6	solution	solution	NOUN
ejpam-3978	79	7	of	of	ADP
ejpam-3978	79	8	boundary	boundary	ADJ
ejpam-3978	79	9	value	value	NOUN
ejpam-3978	79	10	problem	problem	NOUN
ejpam-3978	79	11	(	(	PUNCT
ejpam-3978	79	12	3	3	NUM
ejpam-3978	79	13	)	)	PUNCT
ejpam-3978	79	14	.	.	PUNCT
ejpam-3978	80	1	then	then	ADV
ejpam-3978	80	2	we	we	PRON
ejpam-3978	80	3	have	have	VERB
ejpam-3978	80	4	x	x	X
ejpam-3978	80	5	(	(	PUNCT
ejpam-3978	80	6	t	t	NOUN
ejpam-3978	80	7	)	)	PUNCT
ejpam-3978	80	8	=	=	SYM
ejpam-3978	81	1	x	x	SYM
ejpam-3978	81	2	(	(	PUNCT
ejpam-3978	81	3	0	0	NUM
ejpam-3978	81	4	)	)	PUNCT
ejpam-3978	81	5	+	+	CCONJ
ejpam-3978	81	6	1	1	NUM
ejpam-3978	81	7	γ	γ	X
ejpam-3978	81	8	(	(	PUNCT
ejpam-3978	81	9	α	α	NOUN
ejpam-3978	81	10	)	)	PUNCT
ejpam-3978	81	11	t∫	t∫	PROPN
ejpam-3978	81	12	0	0	NUM
ejpam-3978	81	13	(	(	PUNCT
ejpam-3978	81	14	t−	t−	PROPN
ejpam-3978	81	15	s)α−1	s)α−1	PROPN
ejpam-3978	81	16	y	y	PROPN
ejpam-3978	81	17	(	(	PUNCT
ejpam-3978	81	18	s	s	NOUN
ejpam-3978	81	19	)	)	PUNCT
ejpam-3978	81	20	ds	ds	PROPN
ejpam-3978	81	21	,	,	PUNCT
ejpam-3978	81	22	t	t	PROPN
ejpam-3978	81	23	∈	∈	PROPN
ejpam-3978	82	1	[	[	X
ejpam-3978	82	2	0	0	NUM
ejpam-3978	82	3	,	,	PUNCT
ejpam-3978	82	4	t	t	X
ejpam-3978	82	5	]	]	PUNCT
ejpam-3978	82	6	,	,	PUNCT
ejpam-3978	82	7	where	where	SCONJ
ejpam-3978	82	8	x(0	x(0	PROPN
ejpam-3978	82	9	)	)	PUNCT
ejpam-3978	82	10	is	be	AUX
ejpam-3978	82	11	still	still	ADV
ejpam-3978	82	12	an	an	DET
ejpam-3978	82	13	arbitrary	arbitrary	ADJ
ejpam-3978	82	14	constant	constant	ADJ
ejpam-3978	82	15	vector	vector	NOUN
ejpam-3978	82	16	.	.	PUNCT
ejpam-3978	83	1	for	for	ADP
ejpam-3978	83	2	determining	determine	VERB
ejpam-3978	83	3	x(0	x(0	PROPN
ejpam-3978	83	4	)	)	PUNCT
ejpam-3978	83	5	we	we	PRON
ejpam-3978	83	6	use	use	VERB
ejpam-3978	83	7	the	the	DET
ejpam-3978	83	8	boundary	boundary	ADJ
ejpam-3978	83	9	value	value	NOUN
ejpam-3978	83	10	condition	condition	NOUN
ejpam-3978	83	11	ax	ax	NOUN
ejpam-3978	83	12	(	(	PUNCT
ejpam-3978	83	13	0	0	NUM
ejpam-3978	83	14	)	)	PUNCT
ejpam-3978	83	15	+	+	CCONJ
ejpam-3978	84	1	t∫	t∫	ADJ
ejpam-3978	84	2	0	0	NUM
ejpam-3978	84	3	n	n	PROPN
ejpam-3978	84	4	(	(	PUNCT
ejpam-3978	84	5	t)x	t)x	X
ejpam-3978	84	6	(	(	PUNCT
ejpam-3978	84	7	t	t	NOUN
ejpam-3978	84	8	)	)	PUNCT
ejpam-3978	84	9	dt	dt	PUNCT
ejpam-3978	85	1	+	+	NOUN
ejpam-3978	85	2	bx	bx	X
ejpam-3978	85	3	(	(	PUNCT
ejpam-3978	85	4	t	t	PROPN
ejpam-3978	85	5	)	)	PUNCT
ejpam-3978	86	1	=	=	PUNCT
ejpam-3978	86	2	c	c	NOUN
ejpam-3978	86	3	:	:	PUNCT
ejpam-3978	86	4	c	c	NOUN
ejpam-3978	86	5	=	=	PUNCT
ejpam-3978	86	6	ax	ax	NOUN
ejpam-3978	86	7	(	(	PUNCT
ejpam-3978	86	8	0	0	NUM
ejpam-3978	86	9	)	)	PUNCT
ejpam-3978	86	10	+	+	CCONJ
ejpam-3978	86	11	t∫	t∫	ADJ
ejpam-3978	86	12	0	0	NUM
ejpam-3978	86	13	n	n	PROPN
ejpam-3978	86	14	(	(	PUNCT
ejpam-3978	86	15	t)x	t)x	X
ejpam-3978	86	16	(	(	PUNCT
ejpam-3978	86	17	t	t	NOUN
ejpam-3978	86	18	)	)	PUNCT
ejpam-3978	86	19	dt+bx	dt+bx	X
ejpam-3978	86	20	(	(	PUNCT
ejpam-3978	86	21	t	t	NOUN
ejpam-3978	86	22	)	)	PUNCT
ejpam-3978	86	23	=	=	PUNCT
ejpam-3978	87	1	a+	a+	PUNCT
ejpam-3978	87	2	t∫	t∫	NOUN
ejpam-3978	87	3	0	0	NUM
ejpam-3978	87	4	n	n	PROPN
ejpam-3978	87	5	(	(	PUNCT
ejpam-3978	87	6	t	t	NOUN
ejpam-3978	87	7	)	)	PUNCT
ejpam-3978	87	8	dt+b	dt+b	NOUN
ejpam-3978	87	9	x	x	SYM
ejpam-3978	87	10	(	(	PUNCT
ejpam-3978	87	11	0	0	NUM
ejpam-3978	87	12	)	)	PUNCT
ejpam-3978	87	13	+	+	CCONJ
ejpam-3978	87	14	1	1	NUM
ejpam-3978	87	15	γ	γ	X
ejpam-3978	87	16	(	(	PUNCT
ejpam-3978	87	17	α	α	NOUN
ejpam-3978	87	18	)	)	PUNCT
ejpam-3978	87	19	t∫	t∫	PROPN
ejpam-3978	87	20	0	0	NUM
ejpam-3978	87	21	n	n	PROPN
ejpam-3978	87	22	(	(	PUNCT
ejpam-3978	87	23	t	t	PROPN
ejpam-3978	87	24	)	)	PUNCT
ejpam-3978	87	25	t∫	t∫	PROPN
ejpam-3978	87	26	0	0	NUM
ejpam-3978	87	27	(	(	PUNCT
ejpam-3978	87	28	t−	t−	PROPN
ejpam-3978	87	29	s)α−1y	s)α−1y	NOUN
ejpam-3978	87	30	(	(	PUNCT
ejpam-3978	87	31	s	s	NOUN
ejpam-3978	87	32	)	)	PUNCT
ejpam-3978	87	33	dsdt+	dsdt+	NOUN
ejpam-3978	87	34	b	b	X
ejpam-3978	87	35	γ	γ	X
ejpam-3978	87	36	(	(	PUNCT
ejpam-3978	87	37	α	α	NOUN
ejpam-3978	87	38	)	)	PUNCT
ejpam-3978	87	39	t∫	t∫	PROPN
ejpam-3978	87	40	0	0	NUM
ejpam-3978	88	1	(	(	PUNCT
ejpam-3978	88	2	t	t	PROPN
ejpam-3978	88	3	−	−	PROPN
ejpam-3978	88	4	s)α−1	s)α−1	PROPN
ejpam-3978	88	5	y	y	PROPN
ejpam-3978	88	6	(	(	PUNCT
ejpam-3978	88	7	s	s	NOUN
ejpam-3978	88	8	)	)	PUNCT
ejpam-3978	88	9	ds	ds	PROPN
ejpam-3978	88	10	.	.	PROPN
ejpam-3978	88	11	y.a	y.a	PROPN
ejpam-3978	88	12	.	.	PROPN
ejpam-3978	88	13	sharifov	sharifov	PROPN
ejpam-3978	88	14	,	,	PUNCT
ejpam-3978	88	15	s.a	s.a	PROPN
ejpam-3978	88	16	.	.	PROPN
ejpam-3978	88	17	zamanova	zamanova	PROPN
ejpam-3978	88	18	,	,	PUNCT
ejpam-3978	88	19	r.a	r.a	PROPN
ejpam-3978	88	20	.	.	PROPN
ejpam-3978	88	21	sardarova	sardarova	PROPN
ejpam-3978	88	22	/	/	SYM
ejpam-3978	88	23	eur	eur	PROPN
ejpam-3978	88	24	.	.	PUNCT
ejpam-3978	89	1	j.	j.	PROPN
ejpam-3978	89	2	pure	pure	PROPN
ejpam-3978	89	3	appl	appl	PROPN
ejpam-3978	89	4	.	.	PROPN
ejpam-3978	89	5	math	math	PROPN
ejpam-3978	89	6	,	,	PUNCT
ejpam-3978	89	7	14	14	NUM
ejpam-3978	89	8	(	(	PUNCT
ejpam-3978	89	9	2	2	NUM
ejpam-3978	89	10	)	)	PUNCT
ejpam-3978	89	11	(	(	PUNCT
ejpam-3978	89	12	2021	2021	NUM
ejpam-3978	89	13	)	)	PUNCT
ejpam-3978	89	14	,	,	PUNCT
ejpam-3978	89	15	608	608	NUM
ejpam-3978	89	16	-	-	SYM
ejpam-3978	89	17	617	617	NUM
ejpam-3978	89	18	612	612	NUM
ejpam-3978	89	19	from	from	ADP
ejpam-3978	89	20	here	here	ADV
ejpam-3978	89	21	we	we	PRON
ejpam-3978	89	22	get	get	VERB
ejpam-3978	89	23	x	x	X
ejpam-3978	89	24	(	(	PUNCT
ejpam-3978	89	25	0	0	NUM
ejpam-3978	89	26	)	)	PUNCT
ejpam-3978	89	27	=	=	NOUN
ejpam-3978	89	28	n−1c	n−1c	VERB
ejpam-3978	90	1	−	−	PROPN
ejpam-3978	90	2	n−1	n−1	PROPN
ejpam-3978	90	3	γ	γ	X
ejpam-3978	90	4	(	(	PUNCT
ejpam-3978	90	5	α	α	NOUN
ejpam-3978	90	6	)	)	PUNCT
ejpam-3978	90	7	t∫	t∫	PROPN
ejpam-3978	90	8	0	0	NUM
ejpam-3978	90	9	n	n	PROPN
ejpam-3978	90	10	(	(	PUNCT
ejpam-3978	90	11	t	t	PROPN
ejpam-3978	90	12	)	)	PUNCT
ejpam-3978	90	13	t∫	t∫	PROPN
ejpam-3978	90	14	0	0	NUM
ejpam-3978	91	1	(	(	PUNCT
ejpam-3978	91	2	t−	t−	PROPN
ejpam-3978	91	3	s)α−1y	s)α−1y	NOUN
ejpam-3978	91	4	(	(	PUNCT
ejpam-3978	91	5	s	s	NOUN
ejpam-3978	91	6	)	)	PUNCT
ejpam-3978	91	7	dsdt+	dsdt+	X
ejpam-3978	91	8	n−1b	n−1b	X
ejpam-3978	91	9	γ	γ	X
ejpam-3978	91	10	(	(	PUNCT
ejpam-3978	91	11	α	α	NOUN
ejpam-3978	91	12	)	)	PUNCT
ejpam-3978	91	13	t∫	t∫	PROPN
ejpam-3978	91	14	0	0	NUM
ejpam-3978	92	1	(	(	PUNCT
ejpam-3978	92	2	t	t	PROPN
ejpam-3978	92	3	−	−	PROPN
ejpam-3978	92	4	s	s	PART
ejpam-3978	92	5	)	)	PUNCT
ejpam-3978	92	6	y	y	PROPN
ejpam-3978	92	7	(	(	PUNCT
ejpam-3978	92	8	s	s	NOUN
ejpam-3978	92	9	)	)	PUNCT
ejpam-3978	92	10	ds	ds	ADJ
ejpam-3978	92	11	,	,	PUNCT
ejpam-3978	92	12	and	and	CCONJ
ejpam-3978	92	13	consequently	consequently	ADV
ejpam-3978	92	14	for	for	ADP
ejpam-3978	92	15	all	all	DET
ejpam-3978	92	16	t	t	NOUN
ejpam-3978	92	17	∈	∈	PROPN
ejpam-3978	93	1	[	[	X
ejpam-3978	93	2	0	0	NUM
ejpam-3978	93	3	,	,	PUNCT
ejpam-3978	93	4	t	t	X
ejpam-3978	93	5	]	]	PUNCT
ejpam-3978	93	6	(	(	PUNCT
ejpam-3978	93	7	4	4	X
ejpam-3978	93	8	)	)	PUNCT
ejpam-3978	93	9	is	be	AUX
ejpam-3978	93	10	true	true	ADJ
ejpam-3978	93	11	.	.	PUNCT
ejpam-3978	94	1	lemma	lemma	PROPN
ejpam-3978	94	2	5	5	NUM
ejpam-3978	94	3	.	.	PUNCT
ejpam-3978	95	1	(	(	PUNCT
ejpam-3978	95	2	krasnoselskiis	krasnoselskiis	ADJ
ejpam-3978	95	3	fixed	fix	VERB
ejpam-3978	95	4	point	point	NOUN
ejpam-3978	95	5	theorem	theorem	VERB
ejpam-3978	95	6	,	,	PUNCT
ejpam-3978	95	7	[	[	X
ejpam-3978	95	8	16	16	NUM
ejpam-3978	95	9	]	]	PUNCT
ejpam-3978	95	10	)	)	PUNCT
ejpam-3978	95	11	let	let	VERB
ejpam-3978	95	12	m	m	PRON
ejpam-3978	95	13	be	be	AUX
ejpam-3978	95	14	a	a	DET
ejpam-3978	95	15	closed	closed	ADJ
ejpam-3978	95	16	,	,	PUNCT
ejpam-3978	95	17	bounded	bound	VERB
ejpam-3978	95	18	,	,	PUNCT
ejpam-3978	95	19	convex	convex	ADJ
ejpam-3978	95	20	and	and	CCONJ
ejpam-3978	95	21	nonempty	nonempty	NOUN
ejpam-3978	95	22	subset	subset	NOUN
ejpam-3978	95	23	of	of	ADP
ejpam-3978	95	24	a	a	DET
ejpam-3978	95	25	banach	banach	NOUN
ejpam-3978	95	26	space	space	NOUN
ejpam-3978	95	27	x.	x.	NOUN
ejpam-3978	95	28	let	let	VERB
ejpam-3978	95	29	a	a	DET
ejpam-3978	95	30	,	,	PUNCT
ejpam-3978	95	31	b	b	NOUN
ejpam-3978	95	32	be	be	AUX
ejpam-3978	95	33	the	the	DET
ejpam-3978	95	34	operators	operator	NOUN
ejpam-3978	95	35	such	such	ADJ
ejpam-3978	95	36	that	that	SCONJ
ejpam-3978	95	37	(	(	PUNCT
ejpam-3978	95	38	a	a	X
ejpam-3978	95	39	)	)	PUNCT
ejpam-3978	95	40	ax+by	ax+by	PROPN
ejpam-3978	95	41	∈m	∈m	NOUN
ejpam-3978	95	42	whenever	whenever	SCONJ
ejpam-3978	95	43	x	x	X
ejpam-3978	95	44	,	,	PUNCT
ejpam-3978	95	45	y	y	PROPN
ejpam-3978	95	46	∈m	∈m	NOUN
ejpam-3978	95	47	;	;	PUNCT
ejpam-3978	95	48	(	(	PUNCT
ejpam-3978	95	49	b)a	b)a	X
ejpam-3978	95	50	is	be	AUX
ejpam-3978	95	51	compact	compact	ADJ
ejpam-3978	95	52	and	and	CCONJ
ejpam-3978	95	53	continuous	continuous	ADJ
ejpam-3978	95	54	;	;	PUNCT
ejpam-3978	95	55	(	(	PUNCT
ejpam-3978	95	56	c	c	X
ejpam-3978	95	57	)	)	PUNCT
ejpam-3978	95	58	b	b	NOUN
ejpam-3978	95	59	is	be	AUX
ejpam-3978	95	60	a	a	DET
ejpam-3978	95	61	contraction	contraction	NOUN
ejpam-3978	95	62	mapping	mapping	NOUN
ejpam-3978	95	63	.	.	PUNCT
ejpam-3978	96	1	then	then	ADV
ejpam-3978	96	2	there	there	PRON
ejpam-3978	96	3	exists	exist	VERB
ejpam-3978	96	4	z	z	NOUN
ejpam-3978	96	5	∈m	∈m	NOUN
ejpam-3978	96	6	such	such	ADJ
ejpam-3978	96	7	that	that	PRON
ejpam-3978	96	8	z	z	NOUN
ejpam-3978	96	9	=	=	PUNCT
ejpam-3978	96	10	az	az	PROPN
ejpam-3978	96	11	+	+	NOUN
ejpam-3978	96	12	bz	bz	PROPN
ejpam-3978	96	13	.	.	PUNCT
ejpam-3978	97	1	3	3	X
ejpam-3978	97	2	.	.	X
ejpam-3978	97	3	main	main	ADJ
ejpam-3978	97	4	results	result	NOUN
ejpam-3978	97	5	in	in	ADP
ejpam-3978	97	6	this	this	DET
ejpam-3978	97	7	section	section	NOUN
ejpam-3978	97	8	,	,	PUNCT
ejpam-3978	97	9	the	the	DET
ejpam-3978	97	10	theorems	theorem	NOUN
ejpam-3978	97	11	on	on	ADP
ejpam-3978	97	12	uniqueness	uniqueness	NOUN
ejpam-3978	97	13	and	and	CCONJ
ejpam-3978	97	14	existence	existence	NOUN
ejpam-3978	97	15	of	of	ADP
ejpam-3978	97	16	a	a	DET
ejpam-3978	97	17	solution	solution	NOUN
ejpam-3978	97	18	for	for	ADP
ejpam-3978	97	19	boundary	boundary	ADJ
ejpam-3978	97	20	value	value	NOUN
ejpam-3978	97	21	problem	problem	NOUN
ejpam-3978	97	22	(	(	PUNCT
ejpam-3978	97	23	1)-(2	1)-(2	NUM
ejpam-3978	97	24	)	)	PUNCT
ejpam-3978	97	25	is	be	AUX
ejpam-3978	97	26	given	give	VERB
ejpam-3978	97	27	.	.	PUNCT
ejpam-3978	98	1	for	for	ADP
ejpam-3978	98	2	the	the	DET
ejpam-3978	98	3	forthcoming	forthcoming	ADJ
ejpam-3978	98	4	analysis	analysis	NOUN
ejpam-3978	98	5	we	we	PRON
ejpam-3978	98	6	impose	impose	VERB
ejpam-3978	98	7	suitable	suitable	ADJ
ejpam-3978	98	8	conditions	condition	NOUN
ejpam-3978	98	9	on	on	ADP
ejpam-3978	98	10	the	the	DET
ejpam-3978	98	11	functions	function	NOUN
ejpam-3978	98	12	involved	involve	VERB
ejpam-3978	98	13	in	in	ADP
ejpam-3978	98	14	boundary	boundary	ADJ
ejpam-3978	98	15	value	value	NOUN
ejpam-3978	98	16	problem	problem	NOUN
ejpam-3978	98	17	(	(	PUNCT
ejpam-3978	98	18	1	1	NUM
ejpam-3978	98	19	)	)	PUNCT
ejpam-3978	98	20	,	,	PUNCT
ejpam-3978	98	21	(	(	PUNCT
ejpam-3978	98	22	2	2	NUM
ejpam-3978	98	23	)	)	PUNCT
ejpam-3978	98	24	.	.	PUNCT
ejpam-3978	99	1	we	we	PRON
ejpam-3978	99	2	assume	assume	VERB
ejpam-3978	99	3	the	the	DET
ejpam-3978	99	4	following	follow	VERB
ejpam-3978	99	5	conditions	condition	NOUN
ejpam-3978	99	6	are	be	AUX
ejpam-3978	99	7	set	set	VERB
ejpam-3978	99	8	:	:	PUNCT
ejpam-3978	99	9	(	(	PUNCT
ejpam-3978	99	10	h1	h1	PROPN
ejpam-3978	99	11	)	)	PUNCT
ejpam-3978	99	12	the	the	DET
ejpam-3978	99	13	function	function	NOUN
ejpam-3978	100	1	f	f	NOUN
ejpam-3978	100	2	:	:	PUNCT
ejpam-3978	101	1	[	[	X
ejpam-3978	101	2	0	0	NUM
ejpam-3978	101	3	,	,	PUNCT
ejpam-3978	101	4	t	t	X
ejpam-3978	101	5	]	]	PUNCT
ejpam-3978	101	6	×	×	PROPN
ejpam-3978	101	7	rn	rn	PROPN
ejpam-3978	101	8	→	→	PROPN
ejpam-3978	101	9	rn	rn	PROPN
ejpam-3978	101	10	is	be	AUX
ejpam-3978	101	11	continuous	continuous	ADJ
ejpam-3978	101	12	and	and	CCONJ
ejpam-3978	101	13	satisfies	satisfy	VERB
ejpam-3978	101	14	the	the	DET
ejpam-3978	101	15	following	follow	VERB
ejpam-3978	101	16	lipschitz	lipschitz	NOUN
ejpam-3978	101	17	condition	condition	NOUN
ejpam-3978	101	18	‖f	‖f	ADP
ejpam-3978	101	19	(	(	PUNCT
ejpam-3978	101	20	t	t	PROPN
ejpam-3978	101	21	,	,	PUNCT
ejpam-3978	101	22	x)−	x)−	PROPN
ejpam-3978	101	23	f	f	PROPN
ejpam-3978	101	24	(	(	PUNCT
ejpam-3978	101	25	t	t	PROPN
ejpam-3978	101	26	,	,	PUNCT
ejpam-3978	101	27	y)‖	y)‖	ADJ
ejpam-3978	101	28	≤	≤	PUNCT
ejpam-3978	101	29	l	l	NOUN
ejpam-3978	101	30	‖x−	‖x−	PROPN
ejpam-3978	101	31	y‖	y‖	PROPN
ejpam-3978	101	32	,	,	PUNCT
ejpam-3978	101	33	x	x	X
ejpam-3978	101	34	,	,	PUNCT
ejpam-3978	101	35	y	y	PROPN
ejpam-3978	101	36	∈	∈	PROPN
ejpam-3978	101	37	rn	rn	PROPN
ejpam-3978	101	38	,	,	PUNCT
ejpam-3978	101	39	t	t	PROPN
ejpam-3978	101	40	∈	∈	PROPN
ejpam-3978	102	1	[	[	X
ejpam-3978	102	2	0	0	NUM
ejpam-3978	102	3	,	,	PUNCT
ejpam-3978	102	4	t	t	X
ejpam-3978	102	5	]	]	PUNCT
ejpam-3978	102	6	,	,	PUNCT
ejpam-3978	102	7	l	l	X
ejpam-3978	102	8	>	>	X
ejpam-3978	102	9	0	0	X
ejpam-3978	102	10	.	.	PUNCT
ejpam-3978	102	11	(	(	PUNCT
ejpam-3978	102	12	h2	h2	NOUN
ejpam-3978	102	13	)	)	PUNCT
ejpam-3978	102	14	‖f	‖f	PUNCT
ejpam-3978	102	15	(	(	PUNCT
ejpam-3978	102	16	t	t	PROPN
ejpam-3978	102	17	,	,	PUNCT
ejpam-3978	102	18	x)‖	x)‖	NOUN
ejpam-3978	102	19	≤	≤	PUNCT
ejpam-3978	102	20	g	g	ADP
ejpam-3978	102	21	,	,	PUNCT
ejpam-3978	102	22	for	for	ADP
ejpam-3978	102	23	all	all	DET
ejpam-3978	102	24	x	x	PROPN
ejpam-3978	102	25	∈	∈	PROPN
ejpam-3978	102	26	rn	rn	PROPN
ejpam-3978	102	27	,	,	PUNCT
ejpam-3978	102	28	t	t	PROPN
ejpam-3978	102	29	∈	∈	PROPN
ejpam-3978	103	1	[	[	X
ejpam-3978	103	2	0	0	NUM
ejpam-3978	103	3	,	,	PUNCT
ejpam-3978	103	4	t	t	X
ejpam-3978	103	5	]	]	PUNCT
ejpam-3978	103	6	,	,	PUNCT
ejpam-3978	103	7	g	g	PROPN
ejpam-3978	103	8	≥	≥	NOUN
ejpam-3978	103	9	0	0	NUM
ejpam-3978	103	10	.	.	PUNCT
ejpam-3978	103	11	theorem	theorem	NOUN
ejpam-3978	103	12	2	2	NUM
ejpam-3978	103	13	.	.	X
ejpam-3978	103	14	assume	assume	VERB
ejpam-3978	103	15	that	that	SCONJ
ejpam-3978	103	16	f	f	X
ejpam-3978	103	17	:	:	PUNCT
ejpam-3978	104	1	[	[	X
ejpam-3978	104	2	0	0	NUM
ejpam-3978	104	3	,	,	PUNCT
ejpam-3978	104	4	t	t	X
ejpam-3978	104	5	]	]	PUNCT
ejpam-3978	104	6	×	×	PROPN
ejpam-3978	104	7	rn	rn	PROPN
ejpam-3978	104	8	→	→	PROPN
ejpam-3978	104	9	rn	rn	PROPN
ejpam-3978	104	10	is	be	AUX
ejpam-3978	104	11	jointly	jointly	ADV
ejpam-3978	104	12	continuous	continuous	ADJ
ejpam-3978	104	13	and	and	CCONJ
ejpam-3978	104	14	satisfies	satisfie	NOUN
ejpam-3978	104	15	(	(	PUNCT
ejpam-3978	104	16	h1	h1	PROPN
ejpam-3978	104	17	)	)	PUNCT
ejpam-3978	104	18	and	and	CCONJ
ejpam-3978	104	19	(	(	PUNCT
ejpam-3978	104	20	h2	h2	NOUN
ejpam-3978	104	21	)	)	PUNCT
ejpam-3978	104	22	.	.	PUNCT
ejpam-3978	105	1	if	if	SCONJ
ejpam-3978	105	2	[	[	PUNCT
ejpam-3978	105	3	l	l	NOUN
ejpam-3978	105	4	∥∥n−1	∥∥n−1	ADV
ejpam-3978	105	5	∥∥	∥∥	PROPN
ejpam-3978	105	6	‖n‖tα+1	‖n‖tα+1	PROPN
ejpam-3978	105	7	γ	γ	X
ejpam-3978	105	8	(	(	PUNCT
ejpam-3978	105	9	α+	α+	PROPN
ejpam-3978	105	10	2	2	NUM
ejpam-3978	105	11	)	)	PUNCT
ejpam-3978	105	12	+	+	NOUN
ejpam-3978	105	13	l	l	NOUN
ejpam-3978	105	14	∥∥n−1b	∥∥n−1b	ADJ
ejpam-3978	105	15	∥∥tα	∥∥tα	PROPN
ejpam-3978	105	16	γ	γ	X
ejpam-3978	105	17	(	(	PUNCT
ejpam-3978	105	18	α+	α+	PROPN
ejpam-3978	105	19	1	1	NUM
ejpam-3978	105	20	)	)	PUNCT
ejpam-3978	105	21	]	]	PUNCT
ejpam-3978	105	22	<	<	X
ejpam-3978	105	23	1	1	NUM
ejpam-3978	105	24	,	,	PUNCT
ejpam-3978	105	25	(	(	PUNCT
ejpam-3978	105	26	5	5	NUM
ejpam-3978	105	27	)	)	PUNCT
ejpam-3978	105	28	then	then	ADV
ejpam-3978	105	29	fractional	fractional	ADJ
ejpam-3978	105	30	differential	differential	ADJ
ejpam-3978	105	31	equation	equation	NOUN
ejpam-3978	105	32	(	(	PUNCT
ejpam-3978	105	33	1	1	NUM
ejpam-3978	105	34	)	)	PUNCT
ejpam-3978	105	35	with	with	ADP
ejpam-3978	105	36	boundary	boundary	ADJ
ejpam-3978	105	37	conditions	condition	NOUN
ejpam-3978	105	38	(	(	PUNCT
ejpam-3978	105	39	2	2	X
ejpam-3978	105	40	)	)	PUNCT
ejpam-3978	105	41	has	have	VERB
ejpam-3978	105	42	at	at	ADV
ejpam-3978	105	43	least	least	ADV
ejpam-3978	105	44	one	one	NUM
ejpam-3978	105	45	solution	solution	NOUN
ejpam-3978	105	46	on	on	ADP
ejpam-3978	105	47	[	[	X
ejpam-3978	105	48	0	0	NUM
ejpam-3978	105	49	,	,	PUNCT
ejpam-3978	105	50	t	t	X
ejpam-3978	105	51	]	]	PUNCT
ejpam-3978	105	52	.	.	PUNCT
ejpam-3978	106	1	proof	proof	NOUN
ejpam-3978	106	2	.	.	PUNCT
ejpam-3978	107	1	consider	consider	VERB
ejpam-3978	107	2	br	br	NOUN
ejpam-3978	107	3	=	=	PUNCT
ejpam-3978	107	4	{	{	PUNCT
ejpam-3978	107	5	x	x	PUNCT
ejpam-3978	107	6	∈	∈	PROPN
ejpam-3978	107	7	c	c	X
ejpam-3978	107	8	(	(	PUNCT
ejpam-3978	107	9	[	[	X
ejpam-3978	107	10	0	0	NUM
ejpam-3978	107	11	,	,	PUNCT
ejpam-3978	107	12	t	t	X
ejpam-3978	107	13	]	]	PUNCT
ejpam-3978	107	14	;	;	PUNCT
ejpam-3978	107	15	rn	rn	PROPN
ejpam-3978	107	16	)	)	PUNCT
ejpam-3978	107	17	:	:	PUNCT
ejpam-3978	108	1	‖x‖	‖x‖	VERB
ejpam-3978	108	2	≤	≤	NOUN
ejpam-3978	108	3	r	r	NOUN
ejpam-3978	108	4	}	}	PUNCT
ejpam-3978	108	5	,	,	PUNCT
ejpam-3978	108	6	where	where	SCONJ
ejpam-3978	108	7	r	r	NOUN
ejpam-3978	108	8	≥	≥	NOUN
ejpam-3978	108	9	gtα	gtα	NOUN
ejpam-3978	108	10	γ	γ	X
ejpam-3978	108	11	(	(	PUNCT
ejpam-3978	108	12	α+	α+	PROPN
ejpam-3978	108	13	1	1	NUM
ejpam-3978	108	14	)	)	PUNCT
ejpam-3978	108	15	+	+	NUM
ejpam-3978	108	16	∥∥n−1c	∥∥n−1c	NOUN
ejpam-3978	108	17	∥∥+	∥∥+	X
ejpam-3978	108	18	g	g	PROPN
ejpam-3978	108	19	‖n‖	‖n‖	PROPN
ejpam-3978	108	20	∥∥n−1	∥∥n−1	PROPN
ejpam-3978	108	21	∥∥tα+1	∥∥tα+1	PROPN
ejpam-3978	108	22	γ	γ	X
ejpam-3978	108	23	(	(	PUNCT
ejpam-3978	108	24	α+	α+	NOUN
ejpam-3978	108	25	2	2	NUM
ejpam-3978	108	26	)	)	PUNCT
ejpam-3978	108	27	+	+	CCONJ
ejpam-3978	108	28	g	g	PROPN
ejpam-3978	108	29	∥∥n−1b	∥∥n−1b	ADJ
ejpam-3978	108	30	∥∥tα	∥∥tα	PROPN
ejpam-3978	108	31	γ	γ	X
ejpam-3978	108	32	(	(	PUNCT
ejpam-3978	108	33	α+	α+	PROPN
ejpam-3978	108	34	1	1	NUM
ejpam-3978	108	35	)	)	PUNCT
ejpam-3978	108	36	.	.	PUNCT
ejpam-3978	109	1	define	define	VERB
ejpam-3978	109	2	two	two	NUM
ejpam-3978	109	3	mappings	mapping	NOUN
ejpam-3978	109	4	a1	a1	NOUN
ejpam-3978	109	5	and	and	CCONJ
ejpam-3978	109	6	a2	a2	PROPN
ejpam-3978	109	7	on	on	ADP
ejpam-3978	109	8	br	br	NOUN
ejpam-3978	109	9	by	by	ADP
ejpam-3978	109	10	(	(	PUNCT
ejpam-3978	109	11	a1x	a1x	NOUN
ejpam-3978	109	12	)	)	PUNCT
ejpam-3978	109	13	(	(	PUNCT
ejpam-3978	109	14	t	t	NOUN
ejpam-3978	109	15	)	)	PUNCT
ejpam-3978	109	16	=	=	SYM
ejpam-3978	109	17	1	1	NUM
ejpam-3978	109	18	γ	γ	X
ejpam-3978	109	19	(	(	PUNCT
ejpam-3978	109	20	α	α	NOUN
ejpam-3978	109	21	)	)	PUNCT
ejpam-3978	109	22	t∫	t∫	NOUN
ejpam-3978	109	23	0	0	NUM
ejpam-3978	109	24	(	(	PUNCT
ejpam-3978	109	25	t−	t−	PROPN
ejpam-3978	109	26	s)α−1f	s)α−1f	PROPN
ejpam-3978	109	27	(	(	PUNCT
ejpam-3978	109	28	s	s	X
ejpam-3978	109	29	,	,	PUNCT
ejpam-3978	109	30	x	x	X
ejpam-3978	109	31	(	(	PUNCT
ejpam-3978	109	32	s	s	NOUN
ejpam-3978	109	33	)	)	PUNCT
ejpam-3978	109	34	)	)	PUNCT
ejpam-3978	109	35	ds	ds	PROPN
ejpam-3978	109	36	,	,	PUNCT
ejpam-3978	109	37	(	(	PUNCT
ejpam-3978	109	38	6	6	X
ejpam-3978	109	39	)	)	PUNCT
ejpam-3978	109	40	y.a	y.a	PROPN
ejpam-3978	109	41	.	.	PROPN
ejpam-3978	109	42	sharifov	sharifov	PROPN
ejpam-3978	109	43	,	,	PUNCT
ejpam-3978	109	44	s.a	s.a	PROPN
ejpam-3978	109	45	.	.	PROPN
ejpam-3978	109	46	zamanova	zamanova	PROPN
ejpam-3978	109	47	,	,	PUNCT
ejpam-3978	109	48	r.a	r.a	PROPN
ejpam-3978	109	49	.	.	PROPN
ejpam-3978	109	50	sardarova	sardarova	PROPN
ejpam-3978	109	51	/	/	SYM
ejpam-3978	109	52	eur	eur	PROPN
ejpam-3978	109	53	.	.	PUNCT
ejpam-3978	110	1	j.	j.	PROPN
ejpam-3978	110	2	pure	pure	PROPN
ejpam-3978	110	3	appl	appl	PROPN
ejpam-3978	110	4	.	.	PROPN
ejpam-3978	110	5	math	math	PROPN
ejpam-3978	110	6	,	,	PUNCT
ejpam-3978	110	7	14	14	NUM
ejpam-3978	110	8	(	(	PUNCT
ejpam-3978	110	9	2	2	NUM
ejpam-3978	110	10	)	)	PUNCT
ejpam-3978	110	11	(	(	PUNCT
ejpam-3978	110	12	2021	2021	NUM
ejpam-3978	110	13	)	)	PUNCT
ejpam-3978	110	14	,	,	PUNCT
ejpam-3978	110	15	608	608	NUM
ejpam-3978	110	16	-	-	SYM
ejpam-3978	110	17	617	617	NUM
ejpam-3978	110	18	613	613	NUM
ejpam-3978	110	19	(	(	PUNCT
ejpam-3978	110	20	a2x	a2x	PROPN
ejpam-3978	110	21	)	)	PUNCT
ejpam-3978	110	22	(	(	PUNCT
ejpam-3978	110	23	t	t	NOUN
ejpam-3978	110	24	)	)	PUNCT
ejpam-3978	110	25	=	=	SYM
ejpam-3978	111	1	n−1	n−1	PROPN
ejpam-3978	111	2	c	c	PUNCT
ejpam-3978	111	3	−	−	PROPN
ejpam-3978	111	4	1	1	NUM
ejpam-3978	111	5	γα	γα	PROPN
ejpam-3978	111	6	)	)	PUNCT
ejpam-3978	111	7	t∫	t∫	PROPN
ejpam-3978	111	8	0	0	NUM
ejpam-3978	111	9	n(t	n(t	PROPN
ejpam-3978	111	10	)	)	PUNCT
ejpam-3978	111	11	t∫	t∫	PROPN
ejpam-3978	111	12	0	0	NUM
ejpam-3978	111	13	(	(	PUNCT
ejpam-3978	111	14	t−	t−	PROPN
ejpam-3978	111	15	s)α−1f(s	s)α−1f(s	X
ejpam-3978	111	16	,	,	PUNCT
ejpam-3978	111	17	x	x	X
ejpam-3978	111	18	(	(	PUNCT
ejpam-3978	111	19	s	s	NOUN
ejpam-3978	111	20	)	)	PUNCT
ejpam-3978	111	21	)	)	PUNCT
ejpam-3978	111	22	dsdt	dsdt	NOUN
ejpam-3978	111	23	−	−	PROPN
ejpam-3978	111	24	b	b	PROPN
ejpam-3978	111	25	γ	γ	X
ejpam-3978	111	26	(	(	PUNCT
ejpam-3978	111	27	α	α	NOUN
ejpam-3978	111	28	)	)	PUNCT
ejpam-3978	111	29	t∫	t∫	PROPN
ejpam-3978	111	30	0	0	NUM
ejpam-3978	111	31	(	(	PUNCT
ejpam-3978	111	32	t	t	PROPN
ejpam-3978	111	33	−	−	PROPN
ejpam-3978	111	34	s)α−1	s)α−1	NOUN
ejpam-3978	111	35	f(s	f(s	ADV
ejpam-3978	111	36	,	,	PUNCT
ejpam-3978	111	37	x(s))ds	x(s))ds	PROPN
ejpam-3978	111	38			PROPN
ejpam-3978	111	39	.	.	PUNCT
ejpam-3978	112	1	(	(	PUNCT
ejpam-3978	112	2	7	7	NUM
ejpam-3978	112	3	)	)	PUNCT
ejpam-3978	112	4	for	for	ADP
ejpam-3978	112	5	x	x	X
ejpam-3978	112	6	,	,	PUNCT
ejpam-3978	112	7	y	y	PROPN
ejpam-3978	112	8	∈	∈	PROPN
ejpam-3978	112	9	br	br	X
ejpam-3978	112	10	by	by	ADP
ejpam-3978	112	11	(	(	PUNCT
ejpam-3978	112	12	h2	h2	NOUN
ejpam-3978	112	13	)	)	PUNCT
ejpam-3978	112	14	,	,	PUNCT
ejpam-3978	112	15	we	we	PRON
ejpam-3978	112	16	obtain	obtain	VERB
ejpam-3978	112	17	‖(a1x	‖(a1x	NOUN
ejpam-3978	112	18	)	)	PUNCT
ejpam-3978	112	19	(	(	PUNCT
ejpam-3978	112	20	t	t	NOUN
ejpam-3978	112	21	)	)	PUNCT
ejpam-3978	112	22	+	+	CCONJ
ejpam-3978	112	23	(	(	PUNCT
ejpam-3978	112	24	a2y	a2y	X
ejpam-3978	112	25	)	)	PUNCT
ejpam-3978	112	26	(	(	PUNCT
ejpam-3978	112	27	t)‖	t)‖	NOUN
ejpam-3978	112	28	≤	≤	X
ejpam-3978	112	29	g	g	NOUN
ejpam-3978	112	30	γ	γ	X
ejpam-3978	112	31	(	(	PUNCT
ejpam-3978	112	32	α	α	NOUN
ejpam-3978	112	33	)	)	PUNCT
ejpam-3978	112	34	t∫	t∫	PROPN
ejpam-3978	112	35	0	0	NUM
ejpam-3978	113	1	(	(	PUNCT
ejpam-3978	113	2	t−	t−	PROPN
ejpam-3978	113	3	s)α−1	s)α−1	NOUN
ejpam-3978	113	4	ds+	ds+	NOUN
ejpam-3978	113	5	∥∥n−1c	∥∥n−1c	VERB
ejpam-3978	113	6	∥∥	∥∥	X
ejpam-3978	113	7	+	+	CCONJ
ejpam-3978	113	8	g	g	PROPN
ejpam-3978	113	9	‖n‖	‖n‖	PROPN
ejpam-3978	113	10	∥∥n−1	∥∥n−1	ADV
ejpam-3978	113	11	∥∥	∥∥	PUNCT
ejpam-3978	113	12	γ	γ	X
ejpam-3978	113	13	(	(	PUNCT
ejpam-3978	113	14	α	α	NOUN
ejpam-3978	113	15	)	)	PUNCT
ejpam-3978	113	16	t∫	t∫	PROPN
ejpam-3978	113	17	0	0	NUM
ejpam-3978	114	1	t∫	t∫	NOUN
ejpam-3978	114	2	0	0	NUM
ejpam-3978	115	1	(	(	PUNCT
ejpam-3978	115	2	t−	t−	PROPN
ejpam-3978	115	3	s)α−1	s)α−1	PROPN
ejpam-3978	115	4	dsdt+	dsdt+	X
ejpam-3978	115	5	∥∥n−1b	∥∥n−1b	PROPN
ejpam-3978	115	6	∥∥g	∥∥g	PROPN
ejpam-3978	115	7	γ	γ	X
ejpam-3978	115	8	(	(	PUNCT
ejpam-3978	115	9	α	α	NOUN
ejpam-3978	115	10	)	)	PUNCT
ejpam-3978	115	11	t∫	t∫	PROPN
ejpam-3978	115	12	0	0	NUM
ejpam-3978	116	1	(	(	PUNCT
ejpam-3978	116	2	t	t	PROPN
ejpam-3978	116	3	−	−	PROPN
ejpam-3978	116	4	s)α−1	s)α−1	NOUN
ejpam-3978	116	5	ds	ds	ADJ
ejpam-3978	116	6	≤	≤	NUM
ejpam-3978	116	7	gtα	gtα	NOUN
ejpam-3978	116	8	γ	γ	X
ejpam-3978	116	9	(	(	PUNCT
ejpam-3978	116	10	α+	α+	PROPN
ejpam-3978	116	11	1	1	NUM
ejpam-3978	116	12	)	)	PUNCT
ejpam-3978	116	13	+	+	NUM
ejpam-3978	116	14	∥∥n−1c	∥∥n−1c	NOUN
ejpam-3978	116	15	∥∥+	∥∥+	X
ejpam-3978	116	16	g	g	PROPN
ejpam-3978	116	17	‖n‖	‖n‖	PROPN
ejpam-3978	116	18	∥∥n−1	∥∥n−1	PROPN
ejpam-3978	116	19	∥∥tα+1	∥∥tα+1	PROPN
ejpam-3978	116	20	γ	γ	X
ejpam-3978	116	21	(	(	PUNCT
ejpam-3978	116	22	α+	α+	NOUN
ejpam-3978	116	23	2	2	NUM
ejpam-3978	116	24	)	)	PUNCT
ejpam-3978	116	25	+	+	CCONJ
ejpam-3978	116	26	g	g	PROPN
ejpam-3978	116	27	∥∥n−1b	∥∥n−1b	ADJ
ejpam-3978	116	28	∥∥tα	∥∥tα	PROPN
ejpam-3978	116	29	γ	γ	X
ejpam-3978	116	30	(	(	PUNCT
ejpam-3978	116	31	α+	α+	PROPN
ejpam-3978	116	32	1	1	NUM
ejpam-3978	116	33	)	)	PUNCT
ejpam-3978	116	34	≤	≤	NOUN
ejpam-3978	116	35	r.	r.	NOUN
ejpam-3978	116	36	this	this	PRON
ejpam-3978	116	37	shows	show	VERB
ejpam-3978	116	38	that	that	SCONJ
ejpam-3978	116	39	a1x	a1x	VERB
ejpam-3978	116	40	+	+	NUM
ejpam-3978	116	41	a2y	a2y	PROPN
ejpam-3978	116	42	∈	∈	PROPN
ejpam-3978	116	43	br	br	PROPN
ejpam-3978	116	44	.	.	PUNCT
ejpam-3978	117	1	therefore	therefore	ADV
ejpam-3978	117	2	,	,	PUNCT
ejpam-3978	117	3	condition	condition	NOUN
ejpam-3978	117	4	(	(	PUNCT
ejpam-3978	117	5	a	a	NOUN
ejpam-3978	117	6	)	)	PUNCT
ejpam-3978	117	7	of	of	ADP
ejpam-3978	117	8	lemma	lemma	PROPN
ejpam-3978	117	9	5	5	NUM
ejpam-3978	117	10	holds	hold	NOUN
ejpam-3978	117	11	.	.	PUNCT
ejpam-3978	118	1	it	it	PRON
ejpam-3978	118	2	is	be	AUX
ejpam-3978	118	3	claimed	claim	VERB
ejpam-3978	118	4	that	that	SCONJ
ejpam-3978	118	5	a1	a1	NOUN
ejpam-3978	118	6	is	be	AUX
ejpam-3978	118	7	compact	compact	ADJ
ejpam-3978	118	8	and	and	CCONJ
ejpam-3978	118	9	continuous	continuous	ADJ
ejpam-3978	118	10	.	.	PUNCT
ejpam-3978	119	1	continuity	continuity	NOUN
ejpam-3978	119	2	of	of	ADP
ejpam-3978	119	3	f	f	PROPN
ejpam-3978	119	4	implies	imply	VERB
ejpam-3978	119	5	that	that	SCONJ
ejpam-3978	119	6	the	the	DET
ejpam-3978	119	7	operator	operator	NOUN
ejpam-3978	119	8	(	(	PUNCT
ejpam-3978	119	9	6	6	NUM
ejpam-3978	119	10	)	)	PUNCT
ejpam-3978	119	11	is	be	AUX
ejpam-3978	119	12	continuous	continuous	ADJ
ejpam-3978	119	13	.	.	PUNCT
ejpam-3978	120	1	(	(	PUNCT
ejpam-3978	120	2	a1x)(t	a1x)(t	PROPN
ejpam-3978	120	3	)	)	PUNCT
ejpam-3978	120	4	is	be	AUX
ejpam-3978	120	5	uniformly	uniformly	ADV
ejpam-3978	120	6	bounded	bound	VERB
ejpam-3978	120	7	on	on	ADP
ejpam-3978	120	8	br	br	PROPN
ejpam-3978	120	9	as	as	ADP
ejpam-3978	120	10	‖a1x‖	‖a1x‖	X
ejpam-3978	120	11	≤	≤	NUM
ejpam-3978	120	12	gtα	gtα	NOUN
ejpam-3978	120	13	γ	γ	X
ejpam-3978	120	14	(	(	PUNCT
ejpam-3978	120	15	α+	α+	PROPN
ejpam-3978	120	16	1	1	NUM
ejpam-3978	120	17	)	)	PUNCT
ejpam-3978	120	18	.	.	PUNCT
ejpam-3978	121	1	since	since	SCONJ
ejpam-3978	121	2	f	f	PROPN
ejpam-3978	121	3	is	be	AUX
ejpam-3978	121	4	bounded	bound	VERB
ejpam-3978	121	5	on	on	ADP
ejpam-3978	121	6	the	the	DET
ejpam-3978	121	7	compact	compact	ADJ
ejpam-3978	121	8	set	set	NOUN
ejpam-3978	121	9	[	[	X
ejpam-3978	121	10	0	0	NUM
ejpam-3978	121	11	,	,	PUNCT
ejpam-3978	121	12	t	t	X
ejpam-3978	121	13	]	]	PUNCT
ejpam-3978	121	14	×	×	PROPN
ejpam-3978	121	15	br	br	NOUN
ejpam-3978	121	16	,	,	PUNCT
ejpam-3978	121	17	let	let	VERB
ejpam-3978	121	18	sup	sup	NOUN
ejpam-3978	121	19	[	[	X
ejpam-3978	121	20	0	0	NUM
ejpam-3978	121	21	t	t	NOUN
ejpam-3978	121	22	]	]	PUNCT
ejpam-3978	121	23	×br	×br	NOUN
ejpam-3978	121	24	‖f	‖f	ADJ
ejpam-3978	121	25	(	(	PUNCT
ejpam-3978	121	26	t	t	PROPN
ejpam-3978	121	27	,	,	PUNCT
ejpam-3978	121	28	x)‖	x)‖	PUNCT
ejpam-3978	122	1	=	=	PRON
ejpam-3978	122	2	mf	mf	X
ejpam-3978	122	3	.	.	PUNCT
ejpam-3978	123	1	then	then	ADV
ejpam-3978	123	2	,	,	PUNCT
ejpam-3978	123	3	for	for	ADP
ejpam-3978	123	4	t1	t1	NOUN
ejpam-3978	123	5	,	,	PUNCT
ejpam-3978	123	6	t2	t2	PROPN
ejpam-3978	123	7	∈	∈	PROPN
ejpam-3978	124	1	[	[	X
ejpam-3978	124	2	0	0	NUM
ejpam-3978	124	3	,	,	PUNCT
ejpam-3978	124	4	t	t	X
ejpam-3978	124	5	]	]	PUNCT
ejpam-3978	124	6	,	,	PUNCT
ejpam-3978	124	7	t1	t1	NOUN
ejpam-3978	124	8	<	<	X
ejpam-3978	124	9	t2	t2	NOUN
ejpam-3978	124	10	we	we	PRON
ejpam-3978	124	11	get	get	VERB
ejpam-3978	124	12	‖(a1x	‖(a1x	NOUN
ejpam-3978	124	13	)	)	PUNCT
ejpam-3978	124	14	(	(	PUNCT
ejpam-3978	124	15	t2)−	t2)−	NOUN
ejpam-3978	124	16	(	(	PUNCT
ejpam-3978	124	17	a1x	a1x	NOUN
ejpam-3978	124	18	)	)	PUNCT
ejpam-3978	124	19	(	(	PUNCT
ejpam-3978	124	20	t1)‖	t1)‖	NOUN
ejpam-3978	124	21	=	=	SYM
ejpam-3978	124	22	1	1	NUM
ejpam-3978	124	23	γ	γ	X
ejpam-3978	124	24	(	(	PUNCT
ejpam-3978	124	25	α	α	NOUN
ejpam-3978	124	26	)	)	PUNCT
ejpam-3978	124	27	∥∥∥∥∥∥	∥∥∥∥∥∥	PROPN
ejpam-3978	124	28	t1∫	t1∫	NUM
ejpam-3978	124	29	0	0	PUNCT
ejpam-3978	125	1	(	(	PUNCT
ejpam-3978	125	2	(	(	PUNCT
ejpam-3978	125	3	t2	t2	PROPN
ejpam-3978	125	4	−	−	PROPN
ejpam-3978	125	5	s)α−1	s)α−1	NOUN
ejpam-3978	125	6	−	−	PROPN
ejpam-3978	125	7	(	(	PUNCT
ejpam-3978	125	8	t1	t1	NOUN
ejpam-3978	125	9	−	−	NOUN
ejpam-3978	125	10	s)α−1	s)α−1	NOUN
ejpam-3978	125	11	)	)	PUNCT
ejpam-3978	125	12	f	f	PROPN
ejpam-3978	125	13	(	(	PUNCT
ejpam-3978	125	14	s	s	X
ejpam-3978	125	15	,	,	PUNCT
ejpam-3978	125	16	x	x	X
ejpam-3978	125	17	(	(	PUNCT
ejpam-3978	125	18	s	s	NOUN
ejpam-3978	125	19	)	)	PUNCT
ejpam-3978	125	20	)	)	PUNCT
ejpam-3978	125	21	ds+	ds+	PROPN
ejpam-3978	125	22	t2∫	t2∫	PROPN
ejpam-3978	125	23	t1	t1	NOUN
ejpam-3978	125	24	(	(	PUNCT
ejpam-3978	125	25	t2	t2	PROPN
ejpam-3978	125	26	−	−	PROPN
ejpam-3978	125	27	s)α−1	s)α−1	NOUN
ejpam-3978	125	28	f	f	PROPN
ejpam-3978	125	29	(	(	PUNCT
ejpam-3978	125	30	s	s	X
ejpam-3978	125	31	,	,	PUNCT
ejpam-3978	125	32	x	x	X
ejpam-3978	125	33	(	(	PUNCT
ejpam-3978	125	34	s	s	NOUN
ejpam-3978	125	35	)	)	PUNCT
ejpam-3978	125	36	)	)	PUNCT
ejpam-3978	125	37	ds	ds	PROPN
ejpam-3978	125	38	∥∥∥∥∥∥	∥∥∥∥∥∥	PROPN
ejpam-3978	125	39	≤	≤	NOUN
ejpam-3978	125	40	mf	mf	VERB
ejpam-3978	125	41	γ	γ	X
ejpam-3978	125	42	(	(	PUNCT
ejpam-3978	125	43	α	α	NOUN
ejpam-3978	125	44	)	)	PUNCT
ejpam-3978	125	45	(	(	PUNCT
ejpam-3978	125	46	tα2	tα2	INTJ
ejpam-3978	125	47	α	α	NOUN
ejpam-3978	125	48	−	−	PROPN
ejpam-3978	125	49	tα1	tα1	PROPN
ejpam-3978	125	50	α	α	PROPN
ejpam-3978	125	51	)	)	PUNCT
ejpam-3978	125	52	,	,	PUNCT
ejpam-3978	125	53	which	which	PRON
ejpam-3978	125	54	is	be	AUX
ejpam-3978	125	55	independent	independent	ADJ
ejpam-3978	125	56	of	of	ADP
ejpam-3978	125	57	x	x	PUNCT
ejpam-3978	125	58	and	and	CCONJ
ejpam-3978	125	59	tends	tend	VERB
ejpam-3978	125	60	to	to	ADP
ejpam-3978	125	61	zero	zero	NUM
ejpam-3978	125	62	as	as	ADP
ejpam-3978	125	63	t2	t2	PROPN
ejpam-3978	125	64	→	→	SYM
ejpam-3978	125	65	t1	t1	PROPN
ejpam-3978	125	66	.	.	PUNCT
ejpam-3978	126	1	therefore	therefore	ADV
ejpam-3978	126	2	,	,	PUNCT
ejpam-3978	126	3	a1	a1	NOUN
ejpam-3978	126	4	is	be	AUX
ejpam-3978	126	5	relatively	relatively	ADV
ejpam-3978	126	6	compact	compact	ADJ
ejpam-3978	126	7	on	on	ADP
ejpam-3978	126	8	br	br	PROPN
ejpam-3978	126	9	.	.	PUNCT
ejpam-3978	127	1	by	by	ADP
ejpam-3978	127	2	arzela	arzela	PROPN
ejpam-3978	127	3	ascolis	ascolis	PROPN
ejpam-3978	127	4	theorem	theorem	VERB
ejpam-3978	127	5	,	,	PUNCT
ejpam-3978	127	6	a1	a1	NOUN
ejpam-3978	127	7	is	be	AUX
ejpam-3978	127	8	compact	compact	ADJ
ejpam-3978	127	9	on	on	ADP
ejpam-3978	127	10	br	br	PROPN
ejpam-3978	127	11	.	.	PUNCT
ejpam-3978	128	1	for	for	ADP
ejpam-3978	128	2	x	x	SYM
ejpam-3978	128	3	,	,	PUNCT
ejpam-3978	128	4	y	y	PROPN
ejpam-3978	128	5	∈	∈	PROPN
ejpam-3978	128	6	br	br	NOUN
ejpam-3978	128	7	and	and	CCONJ
ejpam-3978	128	8	t	t	NOUN
ejpam-3978	128	9	∈	∈	PROPN
ejpam-3978	129	1	[	[	X
ejpam-3978	129	2	0	0	NUM
ejpam-3978	129	3	,	,	PUNCT
ejpam-3978	129	4	t	t	X
ejpam-3978	129	5	]	]	PUNCT
ejpam-3978	129	6	,	,	PUNCT
ejpam-3978	129	7	by	by	ADP
ejpam-3978	129	8	(	(	PUNCT
ejpam-3978	129	9	h1	h1	PROPN
ejpam-3978	129	10	)	)	PUNCT
ejpam-3978	129	11	,	,	PUNCT
ejpam-3978	129	12	we	we	PRON
ejpam-3978	129	13	have	have	VERB
ejpam-3978	129	14	‖(a2x	‖(a2x	NUM
ejpam-3978	129	15	)	)	PUNCT
ejpam-3978	129	16	(	(	PUNCT
ejpam-3978	129	17	t)−	t)−	PROPN
ejpam-3978	129	18	(	(	PUNCT
ejpam-3978	129	19	a2y	a2y	NOUN
ejpam-3978	129	20	)	)	PUNCT
ejpam-3978	129	21	(	(	PUNCT
ejpam-3978	129	22	t)‖	t)‖	NOUN
ejpam-3978	129	23	≤	≤	NUM
ejpam-3978	129	24	1	1	NUM
ejpam-3978	129	25	γ	γ	X
ejpam-3978	129	26	(	(	PUNCT
ejpam-3978	129	27	α	α	NOUN
ejpam-3978	129	28	)	)	PUNCT
ejpam-3978	129	29	∥∥∥∥∥∥n−1	∥∥∥∥∥∥n−1	NOUN
ejpam-3978	129	30	t∫	t∫	NUM
ejpam-3978	129	31	0	0	NUM
ejpam-3978	129	32	n	n	PROPN
ejpam-3978	129	33	(	(	PUNCT
ejpam-3978	129	34	t	t	PROPN
ejpam-3978	129	35	)	)	PUNCT
ejpam-3978	129	36	t∫	t∫	PROPN
ejpam-3978	129	37	0	0	NUM
ejpam-3978	129	38	(	(	PUNCT
ejpam-3978	129	39	t−	t−	PROPN
ejpam-3978	129	40	s)α−1	s)α−1	NOUN
ejpam-3978	129	41	(	(	PUNCT
ejpam-3978	129	42	f	f	X
ejpam-3978	129	43	(	(	PUNCT
ejpam-3978	129	44	s	s	X
ejpam-3978	129	45	,	,	PUNCT
ejpam-3978	129	46	x	x	SYM
ejpam-3978	129	47	(	(	PUNCT
ejpam-3978	129	48	s))−	s))−	ADJ
ejpam-3978	129	49	f	f	X
ejpam-3978	129	50	(	(	PUNCT
ejpam-3978	129	51	s	s	PROPN
ejpam-3978	129	52	,	,	PUNCT
ejpam-3978	129	53	y	y	PROPN
ejpam-3978	129	54	(	(	PUNCT
ejpam-3978	129	55	s	s	NOUN
ejpam-3978	129	56	)	)	PUNCT
ejpam-3978	129	57	)	)	PUNCT
ejpam-3978	129	58	)	)	PUNCT
ejpam-3978	130	1	dsdt	dsdt	PROPN
ejpam-3978	130	2	∥∥∥∥∥∥	∥∥∥∥∥∥	PROPN
ejpam-3978	131	1	y.a	y.a	PROPN
ejpam-3978	131	2	.	.	PROPN
ejpam-3978	131	3	sharifov	sharifov	PROPN
ejpam-3978	131	4	,	,	PUNCT
ejpam-3978	131	5	s.a	s.a	PROPN
ejpam-3978	131	6	.	.	PROPN
ejpam-3978	131	7	zamanova	zamanova	PROPN
ejpam-3978	131	8	,	,	PUNCT
ejpam-3978	131	9	r.a	r.a	PROPN
ejpam-3978	131	10	.	.	PROPN
ejpam-3978	131	11	sardarova	sardarova	PROPN
ejpam-3978	131	12	/	/	SYM
ejpam-3978	131	13	eur	eur	PROPN
ejpam-3978	131	14	.	.	PUNCT
ejpam-3978	132	1	j.	j.	PROPN
ejpam-3978	132	2	pure	pure	PROPN
ejpam-3978	132	3	appl	appl	PROPN
ejpam-3978	132	4	.	.	PROPN
ejpam-3978	132	5	math	math	PROPN
ejpam-3978	132	6	,	,	PUNCT
ejpam-3978	132	7	14	14	NUM
ejpam-3978	132	8	(	(	PUNCT
ejpam-3978	132	9	2	2	NUM
ejpam-3978	132	10	)	)	PUNCT
ejpam-3978	132	11	(	(	PUNCT
ejpam-3978	132	12	2021	2021	NUM
ejpam-3978	132	13	)	)	PUNCT
ejpam-3978	132	14	,	,	PUNCT
ejpam-3978	132	15	608	608	NUM
ejpam-3978	132	16	-	-	SYM
ejpam-3978	132	17	617	617	NUM
ejpam-3978	133	1	614	614	NUM
ejpam-3978	133	2	+	+	SYM
ejpam-3978	133	3	1	1	NUM
ejpam-3978	133	4	γ	γ	X
ejpam-3978	133	5	(	(	PUNCT
ejpam-3978	133	6	α	α	NOUN
ejpam-3978	133	7	)	)	PUNCT
ejpam-3978	133	8	∥∥∥∥∥∥n−1b	∥∥∥∥∥∥n−1b	PUNCT
ejpam-3978	134	1	t∫	t∫	PROPN
ejpam-3978	134	2	0	0	NUM
ejpam-3978	134	3	(	(	PUNCT
ejpam-3978	134	4	t	t	PROPN
ejpam-3978	134	5	−	−	PROPN
ejpam-3978	134	6	s)α−1	s)α−1	NOUN
ejpam-3978	134	7	(	(	PUNCT
ejpam-3978	134	8	f	f	X
ejpam-3978	134	9	(	(	PUNCT
ejpam-3978	134	10	s	s	X
ejpam-3978	134	11	,	,	PUNCT
ejpam-3978	134	12	x	x	SYM
ejpam-3978	134	13	(	(	PUNCT
ejpam-3978	134	14	s))−	s))−	ADJ
ejpam-3978	134	15	f	f	X
ejpam-3978	134	16	(	(	PUNCT
ejpam-3978	134	17	s	s	PROPN
ejpam-3978	134	18	,	,	PUNCT
ejpam-3978	134	19	y	y	PROPN
ejpam-3978	134	20	(	(	PUNCT
ejpam-3978	134	21	s	s	NOUN
ejpam-3978	134	22	)	)	PUNCT
ejpam-3978	134	23	)	)	PUNCT
ejpam-3978	134	24	)	)	PUNCT
ejpam-3978	135	1	ds	ds	PROPN
ejpam-3978	135	2	∥∥∥∥∥∥	∥∥∥∥∥∥	NUM
ejpam-3978	135	3	≤	≤	NOUN
ejpam-3978	135	4	[	[	PUNCT
ejpam-3978	135	5	l	l	NOUN
ejpam-3978	135	6	∥∥n−1	∥∥n−1	ADV
ejpam-3978	135	7	∥∥	∥∥	PROPN
ejpam-3978	135	8	‖n‖tα+1	‖n‖tα+1	PROPN
ejpam-3978	135	9	γ	γ	X
ejpam-3978	135	10	(	(	PUNCT
ejpam-3978	135	11	α+	α+	NOUN
ejpam-3978	135	12	1	1	NUM
ejpam-3978	135	13	)	)	PUNCT
ejpam-3978	135	14	+	+	NOUN
ejpam-3978	135	15	l	l	NOUN
ejpam-3978	135	16	∥∥n−1b	∥∥n−1b	ADJ
ejpam-3978	135	17	∥∥tα	∥∥tα	PROPN
ejpam-3978	135	18	γ	γ	X
ejpam-3978	135	19	(	(	PUNCT
ejpam-3978	135	20	α+	α+	PROPN
ejpam-3978	135	21	1	1	NUM
ejpam-3978	135	22	)	)	PUNCT
ejpam-3978	135	23	]	]	PUNCT
ejpam-3978	136	1	‖x−	‖x−	PROPN
ejpam-3978	136	2	y‖	y‖	PROPN
ejpam-3978	136	3	it	it	PRON
ejpam-3978	136	4	follows	follow	VERB
ejpam-3978	136	5	from	from	ADP
ejpam-3978	136	6	(	(	PUNCT
ejpam-3978	136	7	5	5	NUM
ejpam-3978	136	8	)	)	PUNCT
ejpam-3978	136	9	that	that	SCONJ
ejpam-3978	136	10	the	the	DET
ejpam-3978	136	11	operator	operator	NOUN
ejpam-3978	136	12	(	(	PUNCT
ejpam-3978	136	13	7	7	NUM
ejpam-3978	136	14	)	)	PUNCT
ejpam-3978	136	15	is	be	AUX
ejpam-3978	136	16	a	a	DET
ejpam-3978	136	17	contraction	contraction	NOUN
ejpam-3978	136	18	mapping	mapping	NOUN
ejpam-3978	136	19	.	.	PUNCT
ejpam-3978	137	1	thus	thus	ADV
ejpam-3978	137	2	,	,	PUNCT
ejpam-3978	137	3	by	by	ADP
ejpam-3978	137	4	krasnoselskiis	krasnoselskiis	ADJ
ejpam-3978	137	5	fixed	fix	VERB
ejpam-3978	137	6	point	point	NOUN
ejpam-3978	137	7	theorem	theorem	VERB
ejpam-3978	137	8	,	,	PUNCT
ejpam-3978	137	9	(	(	PUNCT
ejpam-3978	137	10	1	1	X
ejpam-3978	137	11	)	)	PUNCT
ejpam-3978	137	12	-(2	-(2	PROPN
ejpam-3978	137	13	)	)	PUNCT
ejpam-3978	137	14	has	have	VERB
ejpam-3978	137	15	at	at	ADV
ejpam-3978	137	16	least	least	ADJ
ejpam-3978	137	17	one	one	NUM
ejpam-3978	137	18	solution	solution	NOUN
ejpam-3978	137	19	.	.	PUNCT
ejpam-3978	138	1	theorem	theorem	NOUN
ejpam-3978	138	2	3	3	NUM
ejpam-3978	138	3	.	.	PUNCT
ejpam-3978	138	4	assume	assume	VERB
ejpam-3978	138	5	that	that	SCONJ
ejpam-3978	138	6	f	f	X
ejpam-3978	138	7	:	:	PUNCT
ejpam-3978	139	1	[	[	X
ejpam-3978	139	2	0	0	NUM
ejpam-3978	139	3	,	,	PUNCT
ejpam-3978	139	4	t	t	X
ejpam-3978	139	5	]	]	PUNCT
ejpam-3978	139	6	×	×	PROPN
ejpam-3978	139	7	rn	rn	PROPN
ejpam-3978	139	8	→	→	PROPN
ejpam-3978	139	9	rn	rn	PROPN
ejpam-3978	139	10	is	be	AUX
ejpam-3978	139	11	a	a	DET
ejpam-3978	139	12	continuous	continuous	ADJ
ejpam-3978	139	13	function	function	NOUN
ejpam-3978	139	14	satisfying	satisfy	VERB
ejpam-3978	139	15	the	the	DET
ejpam-3978	139	16	assumption	assumption	NOUN
ejpam-3978	139	17	(	(	PUNCT
ejpam-3978	139	18	h1	h1	PROPN
ejpam-3978	139	19	)	)	PUNCT
ejpam-3978	139	20	.	.	PUNCT
ejpam-3978	140	1	then	then	ADV
ejpam-3978	140	2	the	the	DET
ejpam-3978	140	3	problems	problem	NOUN
ejpam-3978	140	4	(	(	PUNCT
ejpam-3978	140	5	1)(2	1)(2	NUM
ejpam-3978	140	6	)	)	PUNCT
ejpam-3978	140	7	has	have	VERB
ejpam-3978	140	8	a	a	DET
ejpam-3978	140	9	unique	unique	ADJ
ejpam-3978	140	10	solution	solution	NOUN
ejpam-3978	140	11	on	on	ADP
ejpam-3978	140	12	[	[	X
ejpam-3978	140	13	0	0	NUM
ejpam-3978	140	14	,	,	PUNCT
ejpam-3978	140	15	t	t	X
ejpam-3978	140	16	]	]	PUNCT
ejpam-3978	140	17	if	if	SCONJ
ejpam-3978	140	18	lλ	lλ	PROPN
ejpam-3978	140	19	<	<	X
ejpam-3978	140	20	1	1	NUM
ejpam-3978	140	21	,	,	PUNCT
ejpam-3978	140	22	where	where	SCONJ
ejpam-3978	140	23	λ	λ	PROPN
ejpam-3978	140	24	is	be	AUX
ejpam-3978	140	25	given	give	VERB
ejpam-3978	140	26	by	by	ADP
ejpam-3978	140	27	λ	λ	NOUN
ejpam-3978	140	28	=	=	SYM
ejpam-3978	140	29	tα	tα	PROPN
ejpam-3978	140	30	γ	γ	X
ejpam-3978	140	31	(	(	PUNCT
ejpam-3978	140	32	α+	α+	PROPN
ejpam-3978	140	33	1	1	NUM
ejpam-3978	140	34	)	)	PUNCT
ejpam-3978	140	35	+	+	CCONJ
ejpam-3978	140	36	∥∥n−1	∥∥n−1	ADV
ejpam-3978	140	37	∥∥	∥∥	VERB
ejpam-3978	140	38	‖n‖tα+1	‖n‖tα+1	PROPN
ejpam-3978	140	39	γ	γ	X
ejpam-3978	140	40	(	(	PUNCT
ejpam-3978	140	41	α+	α+	PROPN
ejpam-3978	140	42	2	2	NUM
ejpam-3978	140	43	)	)	PUNCT
ejpam-3978	140	44	+	+	CCONJ
ejpam-3978	140	45	∥∥n−1b	∥∥n−1b	ADJ
ejpam-3978	140	46	∥∥tα	∥∥tα	PROPN
ejpam-3978	140	47	γ	γ	X
ejpam-3978	140	48	(	(	PUNCT
ejpam-3978	140	49	α+	α+	PROPN
ejpam-3978	140	50	1	1	NUM
ejpam-3978	140	51	)	)	PUNCT
ejpam-3978	140	52	.	.	PUNCT
ejpam-3978	141	1	proof	proof	NOUN
ejpam-3978	141	2	.	.	PUNCT
ejpam-3978	142	1	define	define	VERB
ejpam-3978	142	2	a	a	DET
ejpam-3978	142	3	mapping	mapping	NOUN
ejpam-3978	142	4	f	f	NOUN
ejpam-3978	142	5	:	:	PUNCT
ejpam-3978	143	1	c	c	X
ejpam-3978	143	2	(	(	PUNCT
ejpam-3978	143	3	[	[	X
ejpam-3978	143	4	0	0	NUM
ejpam-3978	143	5	,	,	PUNCT
ejpam-3978	143	6	t	t	X
ejpam-3978	143	7	]	]	PUNCT
ejpam-3978	143	8	;	;	PUNCT
ejpam-3978	143	9	rn)→	rn)→	X
ejpam-3978	143	10	(	(	PUNCT
ejpam-3978	143	11	[	[	X
ejpam-3978	143	12	0	0	NUM
ejpam-3978	143	13	,	,	PUNCT
ejpam-3978	143	14	t	t	X
ejpam-3978	143	15	]	]	PUNCT
ejpam-3978	143	16	;	;	PUNCT
ejpam-3978	143	17	rn	rn	X
ejpam-3978	143	18	)	)	PUNCT
ejpam-3978	143	19	by	by	ADP
ejpam-3978	143	20	(	(	PUNCT
ejpam-3978	143	21	fx	fx	NOUN
ejpam-3978	143	22	)	)	PUNCT
ejpam-3978	143	23	(	(	PUNCT
ejpam-3978	143	24	t	t	NOUN
ejpam-3978	143	25	)	)	PUNCT
ejpam-3978	143	26	=	=	SYM
ejpam-3978	143	27	1	1	NUM
ejpam-3978	143	28	γ	γ	X
ejpam-3978	143	29	(	(	PUNCT
ejpam-3978	143	30	α	α	NOUN
ejpam-3978	143	31	)	)	PUNCT
ejpam-3978	143	32	t∫	t∫	NOUN
ejpam-3978	143	33	0	0	NUM
ejpam-3978	143	34	(	(	PUNCT
ejpam-3978	143	35	t−	t−	PROPN
ejpam-3978	143	36	s)α−1f	s)α−1f	PROPN
ejpam-3978	143	37	(	(	PUNCT
ejpam-3978	143	38	s	s	X
ejpam-3978	143	39	,	,	PUNCT
ejpam-3978	143	40	x	x	X
ejpam-3978	143	41	(	(	PUNCT
ejpam-3978	143	42	s	s	NOUN
ejpam-3978	143	43	)	)	PUNCT
ejpam-3978	143	44	)	)	PUNCT
ejpam-3978	143	45	ds	ds	PROPN
ejpam-3978	143	46	+	+	ADJ
ejpam-3978	143	47	n−1	n−1	PROPN
ejpam-3978	143	48	c	c	NOUN
ejpam-3978	143	49	−	−	PROPN
ejpam-3978	143	50	1	1	NUM
ejpam-3978	143	51	γ	γ	X
ejpam-3978	143	52	(	(	PUNCT
ejpam-3978	143	53	α	α	NOUN
ejpam-3978	143	54	)	)	PUNCT
ejpam-3978	143	55	t∫	t∫	PROPN
ejpam-3978	143	56	0	0	NUM
ejpam-3978	143	57	n	n	PROPN
ejpam-3978	143	58	(	(	PUNCT
ejpam-3978	143	59	t	t	PROPN
ejpam-3978	143	60	)	)	PUNCT
ejpam-3978	143	61	t∫	t∫	PROPN
ejpam-3978	143	62	0	0	NUM
ejpam-3978	143	63	(	(	PUNCT
ejpam-3978	143	64	t−	t−	PROPN
ejpam-3978	143	65	s)α−1	s)α−1	X
ejpam-3978	143	66	f	f	PROPN
ejpam-3978	143	67	(	(	PUNCT
ejpam-3978	143	68	s	s	X
ejpam-3978	143	69	,	,	PUNCT
ejpam-3978	143	70	x	x	X
ejpam-3978	143	71	(	(	PUNCT
ejpam-3978	143	72	s	s	NOUN
ejpam-3978	143	73	)	)	PUNCT
ejpam-3978	143	74	)	)	PUNCT
ejpam-3978	143	75	dsdt	dsdt	NOUN
ejpam-3978	143	76	−	−	PROPN
ejpam-3978	143	77	b	b	PROPN
ejpam-3978	143	78	γ	γ	X
ejpam-3978	143	79	(	(	PUNCT
ejpam-3978	143	80	α	α	NOUN
ejpam-3978	143	81	)	)	PUNCT
ejpam-3978	143	82	t∫	t∫	PROPN
ejpam-3978	143	83	0	0	NUM
ejpam-3978	143	84	(	(	PUNCT
ejpam-3978	143	85	t	t	PROPN
ejpam-3978	143	86	−	−	PROPN
ejpam-3978	143	87	s)α−1f	s)α−1f	PROPN
ejpam-3978	143	88	(	(	PUNCT
ejpam-3978	143	89	s	s	X
ejpam-3978	143	90	,	,	PUNCT
ejpam-3978	143	91	x	x	X
ejpam-3978	143	92	(	(	PUNCT
ejpam-3978	143	93	s	s	NOUN
ejpam-3978	143	94	)	)	PUNCT
ejpam-3978	143	95	)	)	PUNCT
ejpam-3978	143	96	ds	ds	ADP
ejpam-3978	143	97			PROPN
ejpam-3978	143	98	.	.	PUNCT
ejpam-3978	144	1	(	(	PUNCT
ejpam-3978	144	2	8)	8)	NUM
ejpam-3978	144	3	let	let	VERB
ejpam-3978	144	4	us	we	PRON
ejpam-3978	144	5	first	first	ADV
ejpam-3978	144	6	show	show	VERB
ejpam-3978	144	7	that	that	SCONJ
ejpam-3978	144	8	fbr	fbr	PROPN
ejpam-3978	144	9	⊂	⊂	X
ejpam-3978	144	10	br	br	PROPN
ejpam-3978	144	11	,	,	PUNCT
ejpam-3978	144	12	where	where	SCONJ
ejpam-3978	144	13	is	be	AUX
ejpam-3978	144	14	the	the	DET
ejpam-3978	144	15	operator	operator	NOUN
ejpam-3978	144	16	defined	define	VERB
ejpam-3978	144	17	by	by	ADP
ejpam-3978	144	18	(	(	PUNCT
ejpam-3978	144	19	8)	8)	NUM
ejpam-3978	144	20	and	and	CCONJ
ejpam-3978	144	21	r	r	NOUN
ejpam-3978	144	22	≥	≥	NOUN
ejpam-3978	144	23	mfl	mfl	NOUN
ejpam-3978	144	24	1−lλ	1−lλ	NUM
ejpam-3978	144	25	with	with	ADP
ejpam-3978	144	26	mf	mf	NOUN
ejpam-3978	144	27	=	=	PUNCT
ejpam-3978	144	28	sup	sup	PROPN
ejpam-3978	144	29	|f	|f	PROPN
ejpam-3978	144	30	(	(	PUNCT
ejpam-3978	144	31	t	t	PROPN
ejpam-3978	144	32	,	,	PUNCT
ejpam-3978	144	33	0)|	0)|	NOUN
ejpam-3978	144	34	t∈[0,t	t∈[0,t	NOUN
ejpam-3978	144	35	]	]	PUNCT
ejpam-3978	144	36	,	,	PUNCT
ejpam-3978	144	37	λ	λ	X
ejpam-3978	144	38	=	=	SYM
ejpam-3978	144	39	tα	tα	VERB
ejpam-3978	144	40	γ(α+1	γ(α+1	NOUN
ejpam-3978	144	41	)	)	PUNCT
ejpam-3978	145	1	+	+	CCONJ
ejpam-3978	145	2	‖n−1‖‖n‖tα+1	‖n−1‖‖n‖tα+1	NOUN
ejpam-3978	145	3	γ(α+2	γ(α+2	PRON
ejpam-3978	145	4	)	)	PUNCT
ejpam-3978	146	1	+	+	CCONJ
ejpam-3978	146	2	‖n−1b‖tα	‖n−1b‖tα	NUM
ejpam-3978	146	3	γ(α+1	γ(α+1	NOUN
ejpam-3978	146	4	)	)	PUNCT
ejpam-3978	146	5	.	.	PUNCT
ejpam-3978	147	1	then	then	ADV
ejpam-3978	147	2	,	,	PUNCT
ejpam-3978	147	3	in	in	ADP
ejpam-3978	147	4	view	view	NOUN
ejpam-3978	147	5	of	of	ADP
ejpam-3978	147	6	the	the	DET
ejpam-3978	147	7	assumptions	assumption	NOUN
ejpam-3978	147	8	(	(	PUNCT
ejpam-3978	147	9	h1	h1	PROPN
ejpam-3978	147	10	)	)	PUNCT
ejpam-3978	147	11	and	and	CCONJ
ejpam-3978	147	12	(	(	PUNCT
ejpam-3978	147	13	h2	h2	NOUN
ejpam-3978	147	14	)	)	PUNCT
ejpam-3978	147	15	,	,	PUNCT
ejpam-3978	147	16	we	we	PRON
ejpam-3978	147	17	have	have	VERB
ejpam-3978	147	18	|f	|f	PROPN
ejpam-3978	147	19	(	(	PUNCT
ejpam-3978	147	20	t	t	PROPN
ejpam-3978	147	21	,	,	PUNCT
ejpam-3978	147	22	x)|	x)|	PROPN
ejpam-3978	147	23	≤	≤	PROPN
ejpam-3978	147	24	|f	|f	PROPN
ejpam-3978	147	25	(	(	PUNCT
ejpam-3978	147	26	t	t	PROPN
ejpam-3978	147	27	,	,	PUNCT
ejpam-3978	147	28	x)−	x)−	PROPN
ejpam-3978	147	29	f	f	PROPN
ejpam-3978	147	30	(	(	PUNCT
ejpam-3978	147	31	t	t	PROPN
ejpam-3978	147	32	,	,	PUNCT
ejpam-3978	147	33	0)|+	0)|+	NUM
ejpam-3978	147	34	|f	|f	PROPN
ejpam-3978	147	35	(	(	PUNCT
ejpam-3978	147	36	t	t	PROPN
ejpam-3978	147	37	,	,	PUNCT
ejpam-3978	147	38	0)|	0)|	VERB
ejpam-3978	147	39	≤	≤	NOUN
ejpam-3978	147	40	l	l	NOUN
ejpam-3978	148	1	|x|+mf	|x|+mf	PROPN
ejpam-3978	148	2	≤	≤	NOUN
ejpam-3978	148	3	lr	lr	X
ejpam-3978	148	4	+	+	NOUN
ejpam-3978	148	5	mf	mf	X
ejpam-3978	148	6	.	.	PUNCT
ejpam-3978	149	1	for	for	ADP
ejpam-3978	149	2	any	any	DET
ejpam-3978	149	3	x	x	SYM
ejpam-3978	149	4	∈	∈	NOUN
ejpam-3978	149	5	br	br	NOUN
ejpam-3978	149	6	,	,	PUNCT
ejpam-3978	149	7	we	we	PRON
ejpam-3978	149	8	have	have	AUX
ejpam-3978	149	9	‖fx‖	‖fx‖	VERB
ejpam-3978	149	10	=	=	NOUN
ejpam-3978	149	11	sup	sup	NOUN
ejpam-3978	149	12	|fx	|fx	PROPN
ejpam-3978	149	13	(	(	PUNCT
ejpam-3978	149	14	t)|	t)|	NOUN
ejpam-3978	149	15	t∈[0,t	t∈[0,t	X
ejpam-3978	149	16	]	]	PUNCT
ejpam-3978	149	17	≤	≤	NUM
ejpam-3978	149	18	∥∥n−1c	∥∥n−1c	NOUN
ejpam-3978	149	19	∥∥	∥∥	PUNCT
ejpam-3978	149	20	references	reference	NOUN
ejpam-3978	149	21	615	615	NUM
ejpam-3978	149	22	+	+	CCONJ
ejpam-3978	149	23	(	(	PUNCT
ejpam-3978	149	24	lr	lr	AUX
ejpam-3978	149	25	+	+	NOUN
ejpam-3978	149	26	mf	mf	X
ejpam-3978	149	27	)	)	PUNCT
ejpam-3978	149	28	{	{	PUNCT
ejpam-3978	149	29	tα	tα	PROPN
ejpam-3978	149	30	γ	γ	X
ejpam-3978	149	31	(	(	PUNCT
ejpam-3978	149	32	α+	α+	PROPN
ejpam-3978	149	33	1	1	NUM
ejpam-3978	149	34	)	)	PUNCT
ejpam-3978	149	35	+	+	CCONJ
ejpam-3978	149	36	∥∥n−1	∥∥n−1	ADV
ejpam-3978	149	37	∥∥	∥∥	VERB
ejpam-3978	149	38	‖n‖tα+1	‖n‖tα+1	PROPN
ejpam-3978	149	39	γ	γ	X
ejpam-3978	149	40	(	(	PUNCT
ejpam-3978	149	41	α+	α+	PROPN
ejpam-3978	149	42	2	2	NUM
ejpam-3978	149	43	)	)	PUNCT
ejpam-3978	149	44	+	+	CCONJ
ejpam-3978	149	45	∥∥n−1b	∥∥n−1b	ADJ
ejpam-3978	149	46	∥∥tα	∥∥tα	PROPN
ejpam-3978	149	47	γ	γ	X
ejpam-3978	149	48	(	(	PUNCT
ejpam-3978	149	49	α+	α+	PROPN
ejpam-3978	149	50	1	1	NUM
ejpam-3978	149	51	)	)	PUNCT
ejpam-3978	149	52	}	}	PUNCT
ejpam-3978	149	53	≤	≤	NOUN
ejpam-3978	149	54	r	r	NOUN
ejpam-3978	149	55	,	,	PUNCT
ejpam-3978	149	56	which	which	PRON
ejpam-3978	149	57	implies	imply	VERB
ejpam-3978	149	58	that	that	SCONJ
ejpam-3978	149	59	fbr	fbr	PROPN
ejpam-3978	149	60	⊂	⊂	X
ejpam-3978	149	61	br	br	PROPN
ejpam-3978	149	62	.	.	PUNCT
ejpam-3978	150	1	next	next	ADV
ejpam-3978	150	2	,	,	PUNCT
ejpam-3978	150	3	for	for	ADP
ejpam-3978	150	4	x	x	X
ejpam-3978	150	5	,	,	PUNCT
ejpam-3978	150	6	y	y	PROPN
ejpam-3978	150	7	∈	∈	PROPN
ejpam-3978	150	8	c	c	X
ejpam-3978	150	9	(	(	PUNCT
ejpam-3978	150	10	[	[	X
ejpam-3978	150	11	0	0	NUM
ejpam-3978	150	12	,	,	PUNCT
ejpam-3978	150	13	t	t	X
ejpam-3978	150	14	]	]	PUNCT
ejpam-3978	150	15	;	;	PUNCT
ejpam-3978	150	16	rn	rn	X
ejpam-3978	150	17	)	)	PUNCT
ejpam-3978	150	18	and	and	CCONJ
ejpam-3978	150	19	for	for	ADP
ejpam-3978	150	20	each	each	DET
ejpam-3978	150	21	t	t	NOUN
ejpam-3978	150	22	∈	∈	PROPN
ejpam-3978	151	1	[	[	X
ejpam-3978	151	2	0	0	NUM
ejpam-3978	151	3	,	,	PUNCT
ejpam-3978	151	4	t	t	X
ejpam-3978	151	5	]	]	PUNCT
ejpam-3978	151	6	,	,	PUNCT
ejpam-3978	151	7	we	we	PRON
ejpam-3978	151	8	obtain	obtain	VERB
ejpam-3978	151	9	‖fx−	‖fx−	PROPN
ejpam-3978	151	10	fy‖	fy‖	VERB
ejpam-3978	151	11	≤	≤	NUM
ejpam-3978	151	12	sup	sup	NOUN
ejpam-3978	152	1	[	[	X
ejpam-3978	152	2	0,t	0,t	X
ejpam-3978	152	3	]	]	PUNCT
ejpam-3978	152	4	1	1	NUM
ejpam-3978	152	5	γ	γ	X
ejpam-3978	152	6	(	(	PUNCT
ejpam-3978	152	7	α	α	NOUN
ejpam-3978	152	8	)	)	PUNCT
ejpam-3978	152	9	t∫	t∫	PROPN
ejpam-3978	152	10	0	0	NUM
ejpam-3978	152	11	(	(	PUNCT
ejpam-3978	152	12	t−	t−	PROPN
ejpam-3978	152	13	s)α−1	s)α−1	PROPN
ejpam-3978	152	14	|f	|f	PROPN
ejpam-3978	152	15	(	(	PUNCT
ejpam-3978	152	16	s	s	X
ejpam-3978	152	17	,	,	PUNCT
ejpam-3978	152	18	x	x	SYM
ejpam-3978	152	19	(	(	PUNCT
ejpam-3978	152	20	s))−	s))−	ADJ
ejpam-3978	152	21	f	f	X
ejpam-3978	152	22	(	(	PUNCT
ejpam-3978	152	23	s	s	PROPN
ejpam-3978	152	24	,	,	PUNCT
ejpam-3978	152	25	y	y	PROPN
ejpam-3978	152	26	(	(	PUNCT
ejpam-3978	152	27	s))|	s))|	PROPN
ejpam-3978	152	28	ds	ds	VERB
ejpam-3978	152	29	+	+	X
ejpam-3978	152	30	∥∥n−1	∥∥n−1	ADV
ejpam-3978	152	31	∥∥	∥∥	PUNCT
ejpam-3978	152	32	‖n‖	‖n‖	PROPN
ejpam-3978	152	33	γ	γ	X
ejpam-3978	152	34	(	(	PUNCT
ejpam-3978	152	35	α	α	NOUN
ejpam-3978	152	36	)	)	PUNCT
ejpam-3978	152	37	t∫	t∫	PROPN
ejpam-3978	152	38	0	0	NUM
ejpam-3978	152	39	t∫	t∫	NOUN
ejpam-3978	152	40	0	0	NUM
ejpam-3978	152	41	(	(	PUNCT
ejpam-3978	152	42	t−	t−	PROPN
ejpam-3978	152	43	s)α−1	s)α−1	PROPN
ejpam-3978	152	44	|f	|f	PROPN
ejpam-3978	152	45	(	(	PUNCT
ejpam-3978	152	46	s	s	X
ejpam-3978	152	47	,	,	PUNCT
ejpam-3978	152	48	x	x	SYM
ejpam-3978	152	49	(	(	PUNCT
ejpam-3978	152	50	s))−	s))−	ADJ
ejpam-3978	152	51	f	f	X
ejpam-3978	152	52	(	(	PUNCT
ejpam-3978	152	53	s	s	PROPN
ejpam-3978	152	54	,	,	PUNCT
ejpam-3978	152	55	y	y	PROPN
ejpam-3978	152	56	(	(	PUNCT
ejpam-3978	152	57	s))|	s))|	PROPN
ejpam-3978	152	58	ds	ds	X
ejpam-3978	152	59	+	+	CCONJ
ejpam-3978	152	60	∥∥n−1b	∥∥n−1b	ADJ
ejpam-3978	152	61	∥∥	∥∥	X
ejpam-3978	152	62	γ	γ	X
ejpam-3978	152	63	(	(	PUNCT
ejpam-3978	152	64	α	α	NOUN
ejpam-3978	152	65	)	)	PUNCT
ejpam-3978	152	66	t∫	t∫	PROPN
ejpam-3978	152	67	0	0	NUM
ejpam-3978	153	1	(	(	PUNCT
ejpam-3978	153	2	t	t	PROPN
ejpam-3978	153	3	−	−	PROPN
ejpam-3978	153	4	s)α−1	s)α−1	NOUN
ejpam-3978	153	5	|f	|f	PROPN
ejpam-3978	153	6	(	(	PUNCT
ejpam-3978	153	7	s	s	X
ejpam-3978	153	8	,	,	PUNCT
ejpam-3978	153	9	x	x	SYM
ejpam-3978	153	10	(	(	PUNCT
ejpam-3978	153	11	s))−	s))−	ADJ
ejpam-3978	153	12	f	f	X
ejpam-3978	153	13	(	(	PUNCT
ejpam-3978	153	14	s	s	PROPN
ejpam-3978	153	15	,	,	PUNCT
ejpam-3978	153	16	y	y	PROPN
ejpam-3978	153	17	(	(	PUNCT
ejpam-3978	153	18	s))|	s))|	NOUN
ejpam-3978	153	19	ds	ds	VERB
ejpam-3978	153	20	≤	≤	NUM
ejpam-3978	153	21	l	l	NOUN
ejpam-3978	153	22	{	{	PUNCT
ejpam-3978	153	23	tα	tα	PROPN
ejpam-3978	153	24	γ	γ	X
ejpam-3978	153	25	(	(	PUNCT
ejpam-3978	153	26	α+	α+	PROPN
ejpam-3978	153	27	1	1	NUM
ejpam-3978	153	28	)	)	PUNCT
ejpam-3978	153	29	+	+	CCONJ
ejpam-3978	153	30	∥∥n−1	∥∥n−1	ADV
ejpam-3978	153	31	∥∥	∥∥	VERB
ejpam-3978	153	32	‖n‖tα+1	‖n‖tα+1	PROPN
ejpam-3978	153	33	γ	γ	X
ejpam-3978	153	34	(	(	PUNCT
ejpam-3978	153	35	α+	α+	PROPN
ejpam-3978	153	36	2	2	NUM
ejpam-3978	153	37	)	)	PUNCT
ejpam-3978	153	38	+	+	CCONJ
ejpam-3978	153	39	∥∥n−1b	∥∥n−1b	ADJ
ejpam-3978	153	40	∥∥tα	∥∥tα	PROPN
ejpam-3978	153	41	γ	γ	X
ejpam-3978	153	42	(	(	PUNCT
ejpam-3978	153	43	α+	α+	PROPN
ejpam-3978	153	44	1	1	NUM
ejpam-3978	153	45	)	)	PUNCT
ejpam-3978	153	46	}	}	PUNCT
ejpam-3978	153	47	‖x−	‖x−	PROPN
ejpam-3978	153	48	y‖	y‖	NOUN
ejpam-3978	153	49	=	=	PUNCT
ejpam-3978	154	1	lλ	lλ	CCONJ
ejpam-3978	154	2	‖x−	‖x−	PROPN
ejpam-3978	154	3	y‖	y‖	PROPN
ejpam-3978	154	4	.	.	PUNCT
ejpam-3978	155	1	since	since	SCONJ
ejpam-3978	155	2	lλ	lλ	PROPN
ejpam-3978	155	3	<	<	X
ejpam-3978	155	4	1	1	NUM
ejpam-3978	155	5	the	the	DET
ejpam-3978	155	6	operator	operator	NOUN
ejpam-3978	155	7	f	f	PROPN
ejpam-3978	155	8	is	be	AUX
ejpam-3978	155	9	a	a	DET
ejpam-3978	155	10	contraction	contraction	NOUN
ejpam-3978	155	11	.	.	PUNCT
ejpam-3978	156	1	by	by	ADP
ejpam-3978	156	2	banach	banach	NOUN
ejpam-3978	156	3	contraction	contraction	NOUN
ejpam-3978	156	4	mapping	mapping	NOUN
ejpam-3978	156	5	principle	principle	NOUN
ejpam-3978	156	6	the	the	DET
ejpam-3978	156	7	operator	operator	NOUN
ejpam-3978	156	8	f	f	PROPN
ejpam-3978	156	9	has	have	VERB
ejpam-3978	156	10	a	a	DET
ejpam-3978	156	11	unique	unique	ADJ
ejpam-3978	156	12	fixed	fix	VERB
ejpam-3978	156	13	point	point	NOUN
ejpam-3978	156	14	,	,	PUNCT
ejpam-3978	156	15	which	which	PRON
ejpam-3978	156	16	means	mean	VERB
ejpam-3978	156	17	that	that	SCONJ
ejpam-3978	156	18	the	the	DET
ejpam-3978	156	19	problem	problem	NOUN
ejpam-3978	156	20	(	(	PUNCT
ejpam-3978	156	21	1	1	NUM
ejpam-3978	156	22	)	)	PUNCT
ejpam-3978	156	23	and	and	CCONJ
ejpam-3978	156	24	(	(	PUNCT
ejpam-3978	156	25	2	2	X
ejpam-3978	156	26	)	)	PUNCT
ejpam-3978	156	27	has	have	VERB
ejpam-3978	156	28	a	a	DET
ejpam-3978	156	29	unique	unique	ADJ
ejpam-3978	156	30	solution	solution	NOUN
ejpam-3978	156	31	for	for	ADP
ejpam-3978	156	32	on	on	ADP
ejpam-3978	156	33	[	[	X
ejpam-3978	156	34	0	0	NUM
ejpam-3978	156	35	,	,	PUNCT
ejpam-3978	156	36	t	t	NOUN
ejpam-3978	156	37	]	]	PUNCT
ejpam-3978	156	38	.	.	PUNCT
ejpam-3978	157	1	references	reference	NOUN
ejpam-3978	157	2	[	[	X
ejpam-3978	157	3	1	1	NUM
ejpam-3978	157	4	]	]	X
ejpam-3978	157	5	r.p	r.p	PROPN
ejpam-3978	157	6	.	.	PROPN
ejpam-3978	157	7	agarwal	agarwal	PROPN
ejpam-3978	157	8	,	,	PUNCT
ejpam-3978	157	9	m.benchohra	m.benchohra	NOUN
ejpam-3978	157	10	,	,	PUNCT
ejpam-3978	157	11	s.hamani	s.hamani	X
ejpam-3978	157	12	.	.	PUNCT
ejpam-3978	158	1	a	a	DET
ejpam-3978	158	2	survey	survey	NOUN
ejpam-3978	158	3	on	on	ADP
ejpam-3978	158	4	existence	existence	NOUN
ejpam-3978	158	5	results	result	NOUN
ejpam-3978	158	6	for	for	ADP
ejpam-3978	158	7	boundary	boundary	ADJ
ejpam-3978	158	8	value	value	NOUN
ejpam-3978	158	9	problems	problem	NOUN
ejpam-3978	158	10	of	of	ADP
ejpam-3978	158	11	nonlinear	nonlinear	ADJ
ejpam-3978	158	12	fractional	fractional	ADJ
ejpam-3978	158	13	differential	differential	ADJ
ejpam-3978	158	14	equations	equation	NOUN
ejpam-3978	158	15	and	and	CCONJ
ejpam-3978	158	16	inclusions	inclusion	NOUN
ejpam-3978	158	17	.	.	PUNCT
ejpam-3978	159	1	acta	acta	PROPN
ejpam-3978	159	2	applicandae	applicandae	PROPN
ejpam-3978	159	3	mathematicae	mathematicae	PROPN
ejpam-3978	159	4	,	,	PUNCT
ejpam-3978	159	5	109(3	109(3	NUM
ejpam-3978	159	6	):	):	PUNCT
ejpam-3978	159	7	973	973	NUM
ejpam-3978	159	8	-	-	SYM
ejpam-3978	159	9	1033	1033	NUM
ejpam-3978	159	10	,	,	PUNCT
ejpam-3978	159	11	2010	2010	NUM
ejpam-3978	159	12	.	.	PUNCT
ejpam-3978	160	1	[	[	X
ejpam-3978	160	2	2	2	NUM
ejpam-3978	160	3	]	]	X
ejpam-3978	160	4	r.p	r.p	PROPN
ejpam-3978	160	5	.	.	PROPN
ejpam-3978	160	6	agarwal	agarwal	PROPN
ejpam-3978	160	7	,	,	PUNCT
ejpam-3978	160	8	m.	m.	NOUN
ejpam-3978	160	9	benchohra	benchohra	NOUN
ejpam-3978	160	10	,	,	PUNCT
ejpam-3978	160	11	s.hamani	s.hamani	X
ejpam-3978	160	12	.	.	PUNCT
ejpam-3978	161	1	boundary	boundary	ADJ
ejpam-3978	161	2	value	value	NOUN
ejpam-3978	161	3	problems	problem	NOUN
ejpam-3978	161	4	for	for	ADP
ejpam-3978	161	5	fractional	fractional	ADJ
ejpam-3978	161	6	differential	differential	ADJ
ejpam-3978	161	7	equations	equation	NOUN
ejpam-3978	161	8	.	.	PUNCT
ejpam-3978	162	1	georgian	georgian	PROPN
ejpam-3978	162	2	mathematical	mathematical	PROPN
ejpam-3978	162	3	journal	journal	PROPN
ejpam-3978	162	4	,	,	PUNCT
ejpam-3978	162	5	16(3	16(3	NUM
ejpam-3978	162	6	):	):	PUNCT
ejpam-3978	162	7	401	401	NUM
ejpam-3978	162	8	-	-	SYM
ejpam-3978	162	9	411	411	NUM
ejpam-3978	162	10	,	,	PUNCT
ejpam-3978	162	11	2009	2009	NUM
ejpam-3978	162	12	.	.	PUNCT
ejpam-3978	163	1	[	[	X
ejpam-3978	163	2	3	3	X
ejpam-3978	163	3	]	]	X
ejpam-3978	163	4	b.	b.	PROPN
ejpam-3978	163	5	ahmad	ahmad	PROPN
ejpam-3978	163	6	,	,	PUNCT
ejpam-3978	163	7	s	s	PART
ejpam-3978	163	8	ntouyas	ntouyas	NOUN
ejpam-3978	163	9	,	,	PUNCT
ejpam-3978	163	10	a.	a.	NOUN
ejpam-3978	163	11	alsaedi	alsaedi	PROPN
ejpam-3978	163	12	.	.	PUNCT
ejpam-3978	164	1	fractional	fractional	ADJ
ejpam-3978	164	2	order	order	NOUN
ejpam-3978	164	3	differential	differential	NOUN
ejpam-3978	164	4	systems	system	NOUN
ejpam-3978	164	5	involving	involve	VERB
ejpam-3978	164	6	right	right	ADJ
ejpam-3978	164	7	caputo	caputo	PROPN
ejpam-3978	164	8	and	and	CCONJ
ejpam-3978	164	9	left	leave	VERB
ejpam-3978	164	10	riemannliouville	riemannliouville	NOUN
ejpam-3978	164	11	fractional	fractional	ADJ
ejpam-3978	164	12	derivatives	derivative	NOUN
ejpam-3978	164	13	with	with	ADP
ejpam-3978	164	14	nonlocal	nonlocal	ADJ
ejpam-3978	164	15	coupled	couple	VERB
ejpam-3978	164	16	conditions	condition	NOUN
ejpam-3978	164	17	.	.	PUNCT
ejpam-3978	165	1	bound	bind	VERB
ejpam-3978	165	2	.	.	PUNCT
ejpam-3978	166	1	value	value	PROPN
ejpam-3978	166	2	probl	probl	NOUN
ejpam-3978	166	3	.	.	PUNCT
ejpam-3978	167	1	2019	2019	NUM
ejpam-3978	167	2	,	,	PUNCT
ejpam-3978	167	3	article	article	NOUN
ejpam-3978	167	4	i	i	PROPN
ejpam-3978	167	5	d	d	PROPN
ejpam-3978	167	6	109	109	NUM
ejpam-3978	167	7	(	(	PUNCT
ejpam-3978	167	8	2019	2019	NUM
ejpam-3978	167	9	)	)	PUNCT
ejpam-3978	168	1	[	[	X
ejpam-3978	168	2	4	4	X
ejpam-3978	168	3	]	]	X
ejpam-3978	168	4	b.	b.	PROPN
ejpam-3978	168	5	ahmad	ahmad	PROPN
ejpam-3978	168	6	and	and	CCONJ
ejpam-3978	168	7	j.	j.	PROPN
ejpam-3978	168	8	j.	j.	PROPN
ejpam-3978	168	9	nieto	nieto	PROPN
ejpam-3978	168	10	.	.	PUNCT
ejpam-3978	169	1	existence	existence	NOUN
ejpam-3978	169	2	results	result	VERB
ejpam-3978	169	3	for	for	ADP
ejpam-3978	169	4	nonlinear	nonlinear	ADJ
ejpam-3978	169	5	boundary	boundary	ADJ
ejpam-3978	169	6	value	value	NOUN
ejpam-3978	169	7	problems	problem	NOUN
ejpam-3978	169	8	of	of	ADP
ejpam-3978	169	9	fractional	fractional	ADJ
ejpam-3978	169	10	integro	integro	ADJ
ejpam-3978	169	11	-	-	PUNCT
ejpam-3978	169	12	differential	differential	NOUN
ejpam-3978	169	13	equations	equation	NOUN
ejpam-3978	169	14	with	with	ADP
ejpam-3978	169	15	integral	integral	ADJ
ejpam-3978	169	16	boundary	boundary	ADJ
ejpam-3978	169	17	conditions	condition	NOUN
ejpam-3978	169	18	,	,	PUNCT
ejpam-3978	169	19	boundary	boundary	ADJ
ejpam-3978	169	20	value	value	NOUN
ejpam-3978	169	21	problems	problem	NOUN
ejpam-3978	169	22	,	,	PUNCT
ejpam-3978	169	23	vol	vol	NOUN
ejpam-3978	169	24	.	.	PROPN
ejpam-3978	169	25	2009	2009	NUM
ejpam-3978	169	26	,	,	PUNCT
ejpam-3978	169	27	article	article	NOUN
ejpam-3978	169	28	i	i	PROPN
ejpam-3978	169	29	d	d	PROPN
ejpam-3978	169	30	708576	708576	NUM
ejpam-3978	169	31	,	,	PUNCT
ejpam-3978	169	32	11	11	NUM
ejpam-3978	169	33	pages	page	NOUN
ejpam-3978	169	34	,	,	PUNCT
ejpam-3978	169	35	2009	2009	NUM
ejpam-3978	169	36	.	.	PUNCT
ejpam-3978	170	1	[	[	X
ejpam-3978	170	2	5	5	X
ejpam-3978	170	3	]	]	PUNCT
ejpam-3978	170	4	j.	j.	PROPN
ejpam-3978	170	5	allison	allison	PROPN
ejpam-3978	170	6	and	and	CCONJ
ejpam-3978	170	7	n.	n.	PROPN
ejpam-3978	170	8	kosmatov	kosmatov	PROPN
ejpam-3978	170	9	.	.	PUNCT
ejpam-3978	171	1	multi	multi	ADJ
ejpam-3978	171	2	-	-	ADJ
ejpam-3978	171	3	point	point	ADJ
ejpam-3978	171	4	boundary	boundary	ADJ
ejpam-3978	171	5	value	value	NOUN
ejpam-3978	171	6	problems	problem	NOUN
ejpam-3978	171	7	of	of	ADP
ejpam-3978	171	8	fractional	fractional	ADJ
ejpam-3978	171	9	order	order	NOUN
ejpam-3978	171	10	,	,	PUNCT
ejpam-3978	171	11	communications	communication	NOUN
ejpam-3978	171	12	in	in	ADP
ejpam-3978	171	13	applied	apply	VERB
ejpam-3978	171	14	analysis	analysis	NOUN
ejpam-3978	171	15	,	,	PUNCT
ejpam-3978	171	16	12	12	NUM
ejpam-3978	171	17	:	:	SYM
ejpam-3978	171	18	451458	451458	NUM
ejpam-3978	171	19	,	,	PUNCT
ejpam-3978	171	20	2008	2008	NUM
ejpam-3978	171	21	.	.	PUNCT
ejpam-3978	172	1	[	[	X
ejpam-3978	172	2	6	6	NUM
ejpam-3978	172	3	]	]	X
ejpam-3978	172	4	d.	d.	PROPN
ejpam-3978	172	5	araya	araya	PROPN
ejpam-3978	172	6	and	and	CCONJ
ejpam-3978	172	7	c.	c.	PROPN
ejpam-3978	172	8	lizama	lizama	PROPN
ejpam-3978	172	9	,	,	PUNCT
ejpam-3978	172	10	almost	almost	ADV
ejpam-3978	172	11	automorphic	automorphic	ADJ
ejpam-3978	172	12	mild	mild	ADJ
ejpam-3978	172	13	solutions	solution	NOUN
ejpam-3978	172	14	to	to	ADP
ejpam-3978	172	15	fractional	fractional	ADJ
ejpam-3978	172	16	differential	differential	ADJ
ejpam-3978	172	17	equations	equation	NOUN
ejpam-3978	172	18	,	,	PUNCT
ejpam-3978	172	19	nonlinear	nonlinear	ADJ
ejpam-3978	172	20	analysis	analysis	NOUN
ejpam-3978	172	21	:	:	PUNCT
ejpam-3978	172	22	theory	theory	NOUN
ejpam-3978	172	23	,	,	PUNCT
ejpam-3978	172	24	methods	method	NOUN
ejpam-3978	172	25	&	&	CCONJ
ejpam-3978	172	26	applications	application	NOUN
ejpam-3978	172	27	,	,	PUNCT
ejpam-3978	172	28	69(11	69(11	NUM
ejpam-3978	172	29	):	):	PUNCT
ejpam-3978	172	30	36923705	36923705	NUM
ejpam-3978	172	31	,	,	PUNCT
ejpam-3978	172	32	2008	2008	NUM
ejpam-3978	172	33	.	.	PUNCT
ejpam-3978	173	1	references	reference	NOUN
ejpam-3978	173	2	616	616	NUM
ejpam-3978	173	3	[	[	X
ejpam-3978	173	4	7	7	NUM
ejpam-3978	173	5	]	]	PUNCT
ejpam-3978	173	6	a.	a.	NOUN
ejpam-3978	173	7	ashyralyev	ashyralyev	PROPN
ejpam-3978	173	8	,	,	PUNCT
ejpam-3978	173	9	y.	y.	PROPN
ejpam-3978	173	10	a.	a.	PROPN
ejpam-3978	173	11	sharifov	sharifov	PROPN
ejpam-3978	173	12	.	.	PUNCT
ejpam-3978	174	1	existence	existence	NOUN
ejpam-3978	174	2	and	and	CCONJ
ejpam-3978	174	3	uniqueness	uniqueness	NOUN
ejpam-3978	174	4	of	of	ADP
ejpam-3978	174	5	solutions	solution	NOUN
ejpam-3978	174	6	for	for	ADP
ejpam-3978	174	7	the	the	DET
ejpam-3978	174	8	system	system	NOUN
ejpam-3978	174	9	of	of	ADP
ejpam-3978	174	10	nonlinear	nonlinear	ADJ
ejpam-3978	174	11	fractional	fractional	ADJ
ejpam-3978	174	12	differential	differential	ADJ
ejpam-3978	174	13	equations	equation	NOUN
ejpam-3978	174	14	with	with	ADP
ejpam-3978	174	15	nonlocal	nonlocal	ADJ
ejpam-3978	174	16	and	and	CCONJ
ejpam-3978	174	17	integral	integral	ADJ
ejpam-3978	174	18	boundary	boundary	ADJ
ejpam-3978	174	19	conditions	condition	NOUN
ejpam-3978	174	20	.	.	PUNCT
ejpam-3978	175	1	abstract	abstract	ADJ
ejpam-3978	175	2	and	and	CCONJ
ejpam-3978	175	3	applied	apply	VERB
ejpam-3978	175	4	analysis	analysis	NOUN
ejpam-3978	175	5	vol	vol	NOUN
ejpam-3978	175	6	.	.	NOUN
ejpam-3978	175	7	2012	2012	NUM
ejpam-3978	175	8	.	.	PUNCT
ejpam-3978	176	1	i	i	PRON
ejpam-3978	176	2	d	d	PROPN
ejpam-3978	176	3	594802	594802	NUM
ejpam-3978	176	4	,	,	PUNCT
ejpam-3978	176	5	2012	2012	NUM
ejpam-3978	176	6	.	.	PUNCT
ejpam-3978	177	1	[	[	X
ejpam-3978	177	2	8	8	NUM
ejpam-3978	177	3	]	]	X
ejpam-3978	177	4	b.	b.	PROPN
ejpam-3978	177	5	bonilla	bonilla	PROPN
ejpam-3978	177	6	,	,	PUNCT
ejpam-3978	177	7	m.	m.	PROPN
ejpam-3978	177	8	rivero	rivero	PROPN
ejpam-3978	177	9	,	,	PUNCT
ejpam-3978	177	10	l.	l.	PROPN
ejpam-3978	177	11	rodrguez	rodrguez	PROPN
ejpam-3978	177	12	-	-	NOUN
ejpam-3978	177	13	germ	germ	NOUN
ejpam-3978	177	14	,	,	PUNCT
ejpam-3978	177	15	and	and	CCONJ
ejpam-3978	177	16	j.	j.	PROPN
ejpam-3978	177	17	j.	j.	PROPN
ejpam-3978	177	18	trujillo	trujillo	PROPN
ejpam-3978	177	19	.	.	PUNCT
ejpam-3978	177	20	fractional	fractional	ADJ
ejpam-3978	177	21	differential	differential	ADJ
ejpam-3978	177	22	equations	equation	NOUN
ejpam-3978	177	23	as	as	ADP
ejpam-3978	177	24	alternative	alternative	ADJ
ejpam-3978	177	25	models	model	NOUN
ejpam-3978	177	26	to	to	ADP
ejpam-3978	177	27	nonlinear	nonlinear	ADJ
ejpam-3978	177	28	differential	differential	ADJ
ejpam-3978	177	29	equations	equation	NOUN
ejpam-3978	177	30	,	,	PUNCT
ejpam-3978	177	31	applied	apply	VERB
ejpam-3978	177	32	mathematics	mathematic	NOUN
ejpam-3978	177	33	and	and	CCONJ
ejpam-3978	177	34	computation	computation	NOUN
ejpam-3978	177	35	,	,	PUNCT
ejpam-3978	177	36	187(1	187(1	NUM
ejpam-3978	177	37	):	):	PUNCT
ejpam-3978	177	38	7988	7988	NUM
ejpam-3978	177	39	,	,	PUNCT
ejpam-3978	177	40	2007	2007	NUM
ejpam-3978	177	41	.	.	PUNCT
ejpam-3978	178	1	[	[	X
ejpam-3978	178	2	9	9	NUM
ejpam-3978	178	3	]	]	PUNCT
ejpam-3978	178	4	a.	a.	NOUN
ejpam-3978	178	5	cabada	cabada	PROPN
ejpam-3978	178	6	,	,	PUNCT
ejpam-3978	178	7	z.	z.	PROPN
ejpam-3978	178	8	hamdi	hamdi	PROPN
ejpam-3978	178	9	.	.	PUNCT
ejpam-3978	179	1	nonlinear	nonlinear	ADJ
ejpam-3978	179	2	fractional	fractional	ADJ
ejpam-3978	179	3	differential	differential	ADJ
ejpam-3978	179	4	equations	equation	NOUN
ejpam-3978	179	5	with	with	ADP
ejpam-3978	179	6	integral	integral	ADJ
ejpam-3978	179	7	boundary	boundary	ADJ
ejpam-3978	179	8	value	value	NOUN
ejpam-3978	179	9	conditions	condition	NOUN
ejpam-3978	179	10	.	.	PUNCT
ejpam-3978	180	1	appl	appl	PROPN
ejpam-3978	180	2	.	.	PROPN
ejpam-3978	180	3	math	math	PROPN
ejpam-3978	180	4	.	.	PUNCT
ejpam-3978	181	1	comput	comput	NOUN
ejpam-3978	181	2	.	.	PUNCT
ejpam-3978	182	1	228	228	NUM
ejpam-3978	182	2	:	:	PUNCT
ejpam-3978	182	3	251257	251257	NUM
ejpam-3978	182	4	,	,	PUNCT
ejpam-3978	182	5	2014	2014	NUM
ejpam-3978	182	6	.	.	PUNCT
ejpam-3978	183	1	[	[	X
ejpam-3978	183	2	10	10	NUM
ejpam-3978	183	3	]	]	X
ejpam-3978	183	4	y.-k	y.-k	NOUN
ejpam-3978	183	5	.	.	PUNCT
ejpam-3978	184	1	chang	chang	PROPN
ejpam-3978	184	2	and	and	CCONJ
ejpam-3978	184	3	j.	j.	PROPN
ejpam-3978	184	4	j.	j.	PROPN
ejpam-3978	184	5	nieto	nieto	PROPN
ejpam-3978	184	6	.	.	PUNCT
ejpam-3978	185	1	some	some	DET
ejpam-3978	185	2	new	new	ADJ
ejpam-3978	185	3	existence	existence	NOUN
ejpam-3978	185	4	results	result	VERB
ejpam-3978	185	5	for	for	ADP
ejpam-3978	185	6	fractional	fractional	ADJ
ejpam-3978	185	7	differential	differential	ADJ
ejpam-3978	185	8	inclusions	inclusion	NOUN
ejpam-3978	185	9	with	with	ADP
ejpam-3978	185	10	boundary	boundary	ADJ
ejpam-3978	185	11	conditions	condition	NOUN
ejpam-3978	185	12	,	,	PUNCT
ejpam-3978	185	13	mathematical	mathematical	ADJ
ejpam-3978	185	14	and	and	CCONJ
ejpam-3978	185	15	computer	computer	NOUN
ejpam-3978	185	16	modelling	modelling	NOUN
ejpam-3978	185	17	,	,	PUNCT
ejpam-3978	185	18	49(3	49(3	PROPN
ejpam-3978	185	19	-	-	PUNCT
ejpam-3978	185	20	4	4	NUM
ejpam-3978	185	21	):	):	PUNCT
ejpam-3978	185	22	605609	605609	NUM
ejpam-3978	185	23	,	,	PUNCT
ejpam-3978	185	24	2009	2009	NUM
ejpam-3978	185	25	.	.	PUNCT
ejpam-3978	186	1	[	[	X
ejpam-3978	186	2	11	11	NUM
ejpam-3978	186	3	]	]	PUNCT
ejpam-3978	186	4	v.	v.	ADP
ejpam-3978	186	5	daftardar	daftardar	NOUN
ejpam-3978	186	6	-	-	PUNCT
ejpam-3978	186	7	gejji	gejji	NOUN
ejpam-3978	186	8	and	and	CCONJ
ejpam-3978	186	9	s.	s.	PROPN
ejpam-3978	186	10	bhalekar	bhalekar	PROPN
ejpam-3978	186	11	.	.	PUNCT
ejpam-3978	187	1	boundary	boundary	ADJ
ejpam-3978	187	2	value	value	NOUN
ejpam-3978	187	3	problems	problem	NOUN
ejpam-3978	187	4	for	for	ADP
ejpam-3978	187	5	multi	multi	ADJ
ejpam-3978	187	6	-	-	ADJ
ejpam-3978	187	7	term	term	ADJ
ejpam-3978	187	8	fractional	fractional	ADJ
ejpam-3978	187	9	differential	differential	NOUN
ejpam-3978	187	10	equations	equation	NOUN
ejpam-3978	187	11	,	,	PUNCT
ejpam-3978	187	12	journal	journal	NOUN
ejpam-3978	187	13	of	of	ADP
ejpam-3978	187	14	mathematical	mathematical	ADJ
ejpam-3978	187	15	analysis	analysis	NOUN
ejpam-3978	187	16	and	and	CCONJ
ejpam-3978	187	17	applications	application	NOUN
ejpam-3978	187	18	,	,	PUNCT
ejpam-3978	187	19	345(2	345(2	NUM
ejpam-3978	187	20	):	):	PUNCT
ejpam-3978	187	21	754765	754765	NUM
ejpam-3978	187	22	,	,	PUNCT
ejpam-3978	187	23	2008	2008	NUM
ejpam-3978	187	24	.	.	PUNCT
ejpam-3978	188	1	[	[	X
ejpam-3978	188	2	12	12	NUM
ejpam-3978	188	3	]	]	PUNCT
ejpam-3978	188	4	p.	p.	NOUN
ejpam-3978	188	5	w.	w.	PROPN
ejpam-3978	188	6	eloe	eloe	PROPN
ejpam-3978	188	7	and	and	CCONJ
ejpam-3978	188	8	b.	b.	PROPN
ejpam-3978	188	9	ahmad	ahmad	PROPN
ejpam-3978	188	10	.	.	PUNCT
ejpam-3978	189	1	positive	positive	ADJ
ejpam-3978	189	2	solutions	solution	NOUN
ejpam-3978	189	3	of	of	ADP
ejpam-3978	189	4	a	a	DET
ejpam-3978	189	5	nonlinear	nonlinear	ADJ
ejpam-3978	189	6	nth	nth	NOUN
ejpam-3978	189	7	order	order	NOUN
ejpam-3978	189	8	boundary	boundary	ADJ
ejpam-3978	189	9	value	value	NOUN
ejpam-3978	189	10	problem	problem	NOUN
ejpam-3978	189	11	with	with	ADP
ejpam-3978	189	12	nonlocal	nonlocal	ADJ
ejpam-3978	189	13	conditions	condition	NOUN
ejpam-3978	189	14	,	,	PUNCT
ejpam-3978	189	15	applied	apply	VERB
ejpam-3978	189	16	mathematics	mathematics	NOUN
ejpam-3978	189	17	letters	letter	NOUN
ejpam-3978	189	18	,	,	PUNCT
ejpam-3978	189	19	18(5	18(5	NUM
ejpam-3978	189	20	):	):	PUNCT
ejpam-3978	189	21	521527	521527	NUM
ejpam-3978	189	22	,	,	PUNCT
ejpam-3978	189	23	2005	2005	NUM
ejpam-3978	189	24	.	.	PUNCT
ejpam-3978	190	1	[	[	X
ejpam-3978	190	2	13	13	NUM
ejpam-3978	190	3	]	]	PUNCT
ejpam-3978	190	4	v.	v.	ADP
ejpam-3978	190	5	gafiychuk	gafiychuk	PROPN
ejpam-3978	190	6	,	,	PUNCT
ejpam-3978	190	7	b.	b.	PROPN
ejpam-3978	190	8	datsko	datsko	ADV
ejpam-3978	190	9	,	,	PUNCT
ejpam-3978	190	10	and	and	CCONJ
ejpam-3978	190	11	v.	v.	ADP
ejpam-3978	190	12	meleshko	meleshko	VERB
ejpam-3978	190	13	.	.	PUNCT
ejpam-3978	191	1	mathematical	mathematical	ADJ
ejpam-3978	191	2	modeling	modeling	NOUN
ejpam-3978	191	3	of	of	ADP
ejpam-3978	191	4	time	time	NOUN
ejpam-3978	191	5	fractional	fractional	ADJ
ejpam-3978	191	6	reaction	reaction	NOUN
ejpam-3978	191	7	-	-	PUNCT
ejpam-3978	191	8	diffusion	diffusion	NOUN
ejpam-3978	191	9	systems	system	NOUN
ejpam-3978	191	10	,	,	PUNCT
ejpam-3978	191	11	journal	journal	NOUN
ejpam-3978	191	12	of	of	ADP
ejpam-3978	191	13	computational	computational	ADJ
ejpam-3978	191	14	and	and	CCONJ
ejpam-3978	191	15	applied	applied	ADJ
ejpam-3978	191	16	mathematics	mathematic	NOUN
ejpam-3978	191	17	,	,	PUNCT
ejpam-3978	191	18	220(12	220(12	NUM
ejpam-3978	191	19	):	):	PUNCT
ejpam-3978	191	20	215225	215225	NUM
ejpam-3978	191	21	,	,	PUNCT
ejpam-3978	191	22	2008	2008	NUM
ejpam-3978	191	23	.	.	PUNCT
ejpam-3978	192	1	[	[	X
ejpam-3978	192	2	14	14	NUM
ejpam-3978	192	3	]	]	X
ejpam-3978	192	4	j.r	j.r	PROPN
ejpam-3978	192	5	graef	graef	PROPN
ejpam-3978	192	6	,	,	PUNCT
ejpam-3978	192	7	l.	l.	PROPN
ejpam-3978	192	8	kong	kong	PROPN
ejpam-3978	192	9	q.	q.	PROPN
ejpam-3978	192	10	kong	kong	PROPN
ejpam-3978	192	11	,	,	PUNCT
ejpam-3978	192	12	m.	m.	PROPN
ejpam-3978	192	13	wang	wang	PROPN
ejpam-3978	192	14	.	.	PUNCT
ejpam-3978	193	1	fractional	fractional	ADJ
ejpam-3978	193	2	boundary	boundary	ADJ
ejpam-3978	193	3	value	value	NOUN
ejpam-3978	193	4	problems	problem	NOUN
ejpam-3978	193	5	with	with	ADP
ejpam-3978	193	6	integral	integral	ADJ
ejpam-3978	193	7	boundary	boundary	ADJ
ejpam-3978	193	8	conditions	condition	NOUN
ejpam-3978	193	9	.	.	PUNCT
ejpam-3978	194	1	appl	appl	PROPN
ejpam-3978	194	2	.	.	PUNCT
ejpam-3978	195	1	anal	anal	PROPN
ejpam-3978	195	2	.	.	PUNCT
ejpam-3978	196	1	92	92	NUM
ejpam-3978	196	2	:	:	SYM
ejpam-3978	196	3	20082020	20082020	NUM
ejpam-3978	196	4	(	(	PUNCT
ejpam-3978	196	5	2013	2013	NUM
ejpam-3978	196	6	)	)	PUNCT
ejpam-3978	197	1	[	[	X
ejpam-3978	197	2	15	15	NUM
ejpam-3978	197	3	]	]	PUNCT
ejpam-3978	197	4	a.	a.	NOUN
ejpam-3978	197	5	a.	a.	NOUN
ejpam-3978	197	6	kilbas	kilbas	PROPN
ejpam-3978	197	7	,	,	PUNCT
ejpam-3978	197	8	h.	h.	PROPN
ejpam-3978	197	9	m.	m.	PROPN
ejpam-3978	197	10	srivastava	srivastava	PROPN
ejpam-3978	197	11	,	,	PUNCT
ejpam-3978	197	12	and	and	CCONJ
ejpam-3978	197	13	j.	j.	PROPN
ejpam-3978	197	14	j.	j.	PROPN
ejpam-3978	197	15	trujillo	trujillo	PROPN
ejpam-3978	197	16	.	.	PUNCT
ejpam-3978	197	17	theory	theory	NOUN
ejpam-3978	197	18	and	and	CCONJ
ejpam-3978	197	19	applications	application	NOUN
ejpam-3978	197	20	of	of	ADP
ejpam-3978	197	21	fractional	fractional	ADJ
ejpam-3978	197	22	differential	differential	ADJ
ejpam-3978	197	23	equations	equation	NOUN
ejpam-3978	197	24	,	,	PUNCT
ejpam-3978	197	25	vol	vol	NOUN
ejpam-3978	197	26	.	.	PROPN
ejpam-3978	197	27	204	204	NUM
ejpam-3978	197	28	of	of	ADP
ejpam-3978	197	29	north	north	NOUN
ejpam-3978	197	30	-	-	PUNCT
ejpam-3978	197	31	holland	holland	PROPN
ejpam-3978	197	32	mathematics	mathematics	PROPN
ejpam-3978	197	33	studies	study	NOUN
ejpam-3978	197	34	,	,	PUNCT
ejpam-3978	197	35	elsevier	elsevier	PROPN
ejpam-3978	197	36	science	science	PROPN
ejpam-3978	197	37	,	,	PUNCT
ejpam-3978	197	38	amsterdam	amsterdam	PROPN
ejpam-3978	197	39	,	,	PUNCT
ejpam-3978	197	40	the	the	DET
ejpam-3978	197	41	netherlands	netherlands	PROPN
ejpam-3978	197	42	,	,	PUNCT
ejpam-3978	197	43	2006	2006	NUM
ejpam-3978	197	44	.	.	PUNCT
ejpam-3978	198	1	[	[	X
ejpam-3978	198	2	16	16	NUM
ejpam-3978	198	3	]	]	X
ejpam-3978	198	4	m.a	m.a	PROPN
ejpam-3978	198	5	.	.	PROPN
ejpam-3978	198	6	krasnoselskii	krasnoselskii	PROPN
ejpam-3978	198	7	,	,	PUNCT
ejpam-3978	198	8	two	two	NUM
ejpam-3978	198	9	remarks	remark	NOUN
ejpam-3978	198	10	on	on	ADP
ejpam-3978	198	11	the	the	DET
ejpam-3978	198	12	method	method	NOUN
ejpam-3978	198	13	of	of	ADP
ejpam-3978	198	14	successive	successive	ADJ
ejpam-3978	198	15	approximations	approximation	NOUN
ejpam-3978	198	16	.	.	PUNCT
ejpam-3978	199	1	usp	usp	PROPN
ejpam-3978	199	2	.	.	PUNCT
ejpam-3978	200	1	mat	mat	PROPN
ejpam-3978	200	2	.	.	PUNCT
ejpam-3978	201	1	nauk	nauk	PROPN
ejpam-3978	201	2	10	10	NUM
ejpam-3978	201	3	,	,	PUNCT
ejpam-3978	201	4	123127	123127	NUM
ejpam-3978	201	5	(	(	PUNCT
ejpam-3978	201	6	1955	1955	NUM
ejpam-3978	201	7	)	)	PUNCT
ejpam-3978	202	1	[	[	X
ejpam-3978	202	2	17	17	NUM
ejpam-3978	202	3	]	]	X
ejpam-3978	202	4	m.j	m.j	PROPN
ejpam-3978	202	5	.	.	PROPN
ejpam-3978	202	6	mardanov	mardanov	PROPN
ejpam-3978	202	7	,	,	PUNCT
ejpam-3978	202	8	y.a	y.a	PROPN
ejpam-3978	202	9	.	.	PROPN
ejpam-3978	202	10	sharifov	sharifov	PROPN
ejpam-3978	202	11	,	,	PUNCT
ejpam-3978	202	12	k.e	k.e	PROPN
ejpam-3978	202	13	.	.	PROPN
ejpam-3978	202	14	ismayilova	ismayilova	PROPN
ejpam-3978	202	15	,	,	PUNCT
ejpam-3978	202	16	s.a.zamanova	s.a.zamanova	PROPN
ejpam-3978	202	17	.	.	PUNCT
ejpam-3978	203	1	existence	existence	NOUN
ejpam-3978	203	2	and	and	CCONJ
ejpam-3978	203	3	uniqueness	uniqueness	NOUN
ejpam-3978	203	4	of	of	ADP
ejpam-3978	203	5	solutions	solution	NOUN
ejpam-3978	203	6	for	for	ADP
ejpam-3978	203	7	the	the	DET
ejpam-3978	203	8	system	system	NOUN
ejpam-3978	203	9	of	of	ADP
ejpam-3978	203	10	first	first	ADJ
ejpam-3978	203	11	-	-	PUNCT
ejpam-3978	203	12	order	order	NOUN
ejpam-3978	203	13	nonlinear	nonlinear	ADJ
ejpam-3978	203	14	differential	differential	ADJ
ejpam-3978	203	15	equations	equation	NOUN
ejpam-3978	203	16	with	with	ADP
ejpam-3978	203	17	three	three	NUM
ejpam-3978	203	18	-	-	PUNCT
ejpam-3978	203	19	point	point	NOUN
ejpam-3978	203	20	and	and	CCONJ
ejpam-3978	203	21	integral	integral	ADJ
ejpam-3978	203	22	boundary	boundary	ADJ
ejpam-3978	203	23	conditions	condition	NOUN
ejpam-3978	203	24	,	,	PUNCT
ejpam-3978	203	25	european	european	ADJ
ejpam-3978	203	26	journal	journal	NOUN
ejpam-3978	203	27	of	of	ADP
ejpam-3978	203	28	pure	pure	ADJ
ejpam-3978	203	29	and	and	CCONJ
ejpam-3978	203	30	applied	apply	VERB
ejpam-3978	203	31	mathematics	mathematic	NOUN
ejpam-3978	203	32	12(3	12(3	NUM
ejpam-3978	203	33	):	):	PUNCT
ejpam-3978	203	34	2019	2019	NUM
ejpam-3978	203	35	,	,	PUNCT
ejpam-3978	203	36	756	756	NUM
ejpam-3978	203	37	-	-	SYM
ejpam-3978	203	38	770	770	NUM
ejpam-3978	203	39	[	[	SYM
ejpam-3978	203	40	18	18	NUM
ejpam-3978	203	41	]	]	X
ejpam-3978	203	42	m.j	m.j	PROPN
ejpam-3978	203	43	.	.	PROPN
ejpam-3978	203	44	mardanov	mardanov	PROPN
ejpam-3978	203	45	,	,	PUNCT
ejpam-3978	203	46	y.a	y.a	PROPN
ejpam-3978	203	47	.	.	PROPN
ejpam-3978	203	48	sharifov	sharifov	PROPN
ejpam-3978	203	49	,	,	PUNCT
ejpam-3978	203	50	h.n	h.n	PROPN
ejpam-3978	203	51	.	.	PROPN
ejpam-3978	203	52	aliyev	aliyev	PROPN
ejpam-3978	203	53	,	,	PUNCT
ejpam-3978	203	54	r.a	r.a	PROPN
ejpam-3978	203	55	.	.	PROPN
ejpam-3978	203	56	sardarova	sardarova	PROPN
ejpam-3978	203	57	.	.	PUNCT
ejpam-3978	204	1	existence	existence	NOUN
ejpam-3978	204	2	and	and	CCONJ
ejpam-3978	204	3	uniqueness	uniqueness	NOUN
ejpam-3978	204	4	of	of	ADP
ejpam-3978	204	5	solutions	solution	NOUN
ejpam-3978	204	6	for	for	ADP
ejpam-3978	204	7	the	the	DET
ejpam-3978	204	8	first	first	ADJ
ejpam-3978	204	9	order	order	NOUN
ejpam-3978	204	10	non	non	ADJ
ejpam-3978	204	11	-	-	ADJ
ejpam-3978	204	12	linear	linear	ADJ
ejpam-3978	204	13	differential	differential	ADJ
ejpam-3978	204	14	equations	equation	NOUN
ejpam-3978	204	15	with	with	ADP
ejpam-3978	204	16	multi	multi	ADJ
ejpam-3978	204	17	-	-	ADJ
ejpam-3978	204	18	point	point	ADJ
ejpam-3978	204	19	boundary	boundary	ADJ
ejpam-3978	204	20	conditions	condition	NOUN
ejpam-3978	204	21	,	,	PUNCT
ejpam-3978	204	22	european	european	ADJ
ejpam-3978	204	23	journal	journal	NOUN
ejpam-3978	204	24	of	of	ADP
ejpam-3978	204	25	pure	pure	ADJ
ejpam-3978	204	26	and	and	CCONJ
ejpam-3978	204	27	applied	applied	ADJ
ejpam-3978	204	28	mathematics	mathematic	NOUN
ejpam-3978	204	29	13(3	13(3	NUM
ejpam-3978	204	30	):	):	PUNCT
ejpam-3978	204	31	2020	2020	NUM
ejpam-3978	204	32	,	,	PUNCT
ejpam-3978	204	33	414	414	NUM
ejpam-3978	204	34	-	-	SYM
ejpam-3978	204	35	426	426	NUM
ejpam-3978	204	36	.	.	PUNCT
ejpam-3978	205	1	references	reference	NOUN
ejpam-3978	205	2	617	617	NUM
ejpam-3978	205	3	[	[	X
ejpam-3978	205	4	19	19	NUM
ejpam-3978	205	5	]	]	X
ejpam-3978	205	6	m.j	m.j	PROPN
ejpam-3978	205	7	.	.	PROPN
ejpam-3978	205	8	mardanov	mardanov	PROPN
ejpam-3978	205	9	,	,	PUNCT
ejpam-3978	205	10	y.a.sharifov	y.a.sharifov	PROPN
ejpam-3978	205	11	,	,	PUNCT
ejpam-3978	205	12	y.s.gasimov	y.s.gasimov	NOUN
ejpam-3978	205	13	,	,	PUNCT
ejpam-3978	205	14	c.cattani	c.cattani	PROPN
ejpam-3978	205	15	.	.	PUNCT
ejpam-3978	206	1	non	non	ADJ
ejpam-3978	206	2	-	-	ADJ
ejpam-3978	206	3	linear	linear	ADJ
ejpam-3978	206	4	first	first	ADJ
ejpam-3978	206	5	-	-	PUNCT
ejpam-3978	206	6	order	order	NOUN
ejpam-3978	206	7	differential	differential	ADJ
ejpam-3978	206	8	boundary	boundary	ADJ
ejpam-3978	206	9	problems	problem	NOUN
ejpam-3978	206	10	with	with	ADP
ejpam-3978	206	11	multipoint	multipoint	NOUN
ejpam-3978	206	12	and	and	CCONJ
ejpam-3978	206	13	integral	integral	ADJ
ejpam-3978	206	14	conditions	condition	NOUN
ejpam-3978	206	15	.	.	PUNCT
ejpam-3978	207	1	fractal	fractal	ADJ
ejpam-3978	207	2	and	and	CCONJ
ejpam-3978	207	3	fractional	fractional	ADJ
ejpam-3978	207	4	,	,	PUNCT
ejpam-3978	207	5	5(1):1	5(1):1	PROPN
ejpam-3978	207	6	-	-	SYM
ejpam-3978	207	7	13	13	NUM
ejpam-3978	207	8	,	,	PUNCT
ejpam-3978	207	9	2021	2021	NUM
ejpam-3978	207	10	.	.	PUNCT
ejpam-3978	208	1	[	[	X
ejpam-3978	208	2	20	20	NUM
ejpam-3978	208	3	]	]	PUNCT
ejpam-3978	208	4	s.	s.	PROPN
ejpam-3978	208	5	g.	g.	PROPN
ejpam-3978	208	6	samko	samko	PROPN
ejpam-3978	208	7	,	,	PUNCT
ejpam-3978	208	8	a.	a.	NOUN
ejpam-3978	208	9	a.	a.	NOUN
ejpam-3978	208	10	kilbas	kilbas	PROPN
ejpam-3978	208	11	,	,	PUNCT
ejpam-3978	208	12	and	and	CCONJ
ejpam-3978	208	13	o.	o.	PROPN
ejpam-3978	208	14	i.	i.	PROPN
ejpam-3978	208	15	marichev	marichev	PROPN
ejpam-3978	208	16	.	.	PUNCT
ejpam-3978	209	1	fractional	fractional	ADJ
ejpam-3978	209	2	integrals	integral	NOUN
ejpam-3978	209	3	and	and	CCONJ
ejpam-3978	209	4	derivatives	derivative	NOUN
ejpam-3978	209	5	:	:	PUNCT
ejpam-3978	209	6	theory	theory	NOUN
ejpam-3978	209	7	and	and	CCONJ
ejpam-3978	209	8	applications	application	NOUN
ejpam-3978	209	9	,	,	PUNCT
ejpam-3978	209	10	gordon	gordon	PROPN
ejpam-3978	209	11	and	and	CCONJ
ejpam-3978	209	12	breach	breach	VERB
ejpam-3978	209	13	science	science	NOUN
ejpam-3978	209	14	,	,	PUNCT
ejpam-3978	209	15	yverdon	yverdon	PROPN
ejpam-3978	209	16	,	,	PUNCT
ejpam-3978	209	17	switzerland	switzerland	PROPN
ejpam-3978	209	18	,	,	PUNCT
ejpam-3978	209	19	1993	1993	NUM
ejpam-3978	209	20	.	.	PUNCT
ejpam-3978	210	1	[	[	X
ejpam-3978	210	2	21	21	NUM
ejpam-3978	210	3	]	]	X
ejpam-3978	210	4	y.a	y.a	PROPN
ejpam-3978	210	5	.	.	PROPN
ejpam-3978	210	6	sharifov	sharifov	PROPN
ejpam-3978	210	7	existence	existence	NOUN
ejpam-3978	210	8	and	and	CCONJ
ejpam-3978	210	9	uniqueness	uniqueness	NOUN
ejpam-3978	210	10	of	of	ADP
ejpam-3978	210	11	solutions	solution	NOUN
ejpam-3978	210	12	for	for	ADP
ejpam-3978	210	13	the	the	DET
ejpam-3978	210	14	system	system	NOUN
ejpam-3978	210	15	of	of	ADP
ejpam-3978	210	16	nonlinear	nonlinear	ADJ
ejpam-3978	210	17	fractional	fractional	ADJ
ejpam-3978	210	18	differential	differential	ADJ
ejpam-3978	210	19	equations	equation	NOUN
ejpam-3978	210	20	with	with	ADP
ejpam-3978	210	21	nonlocal	nonlocal	ADJ
ejpam-3978	210	22	boundary	boundary	ADJ
ejpam-3978	210	23	conditions	condition	NOUN
ejpam-3978	210	24	.	.	PUNCT
ejpam-3978	211	1	proceedings	proceeding	NOUN
ejpam-3978	211	2	of	of	ADP
ejpam-3978	211	3	imm	imm	NOUN
ejpam-3978	211	4	of	of	ADP
ejpam-3978	211	5	nas	nas	PROPN
ejpam-3978	211	6	of	of	ADP
ejpam-3978	211	7	azerbaijan	azerbaijan	PROPN
ejpam-3978	211	8	,	,	PUNCT
ejpam-3978	211	9	xxxvi	xxxvi	PROPN
ejpam-3978	211	10	(	(	PUNCT
ejpam-3978	211	11	xliv	xliv	NUM
ejpam-3978	211	12	):	):	PUNCT
ejpam-3978	211	13	125	125	NUM
ejpam-3978	211	14	-	-	SYM
ejpam-3978	211	15	134	134	NUM
ejpam-3978	211	16	,	,	PUNCT
ejpam-3978	211	17	2012	2012	NUM
ejpam-3978	211	18	.	.	PUNCT
ejpam-3978	212	1	[	[	X
ejpam-3978	212	2	22	22	NUM
ejpam-3978	212	3	]	]	X
ejpam-3978	212	4	y.a	y.a	PROPN
ejpam-3978	212	5	.	.	PROPN
ejpam-3978	212	6	sharifov	sharifov	PROPN
ejpam-3978	212	7	,	,	PUNCT
ejpam-3978	212	8	f.m	f.m	PROPN
ejpam-3978	212	9	.	.	PROPN
ejpam-3978	212	10	zeynally	zeynally	PROPN
ejpam-3978	212	11	,	,	PUNCT
ejpam-3978	212	12	s.m	s.m	PROPN
ejpam-3978	212	13	.	.	PROPN
ejpam-3978	212	14	zeynally	zeynally	PROPN
ejpam-3978	212	15	,	,	PUNCT
ejpam-3978	212	16	existence	existence	NOUN
ejpam-3978	212	17	and	and	CCONJ
ejpam-3978	212	18	uniqueness	uniqueness	NOUN
ejpam-3978	212	19	of	of	ADP
ejpam-3978	212	20	solutions	solution	NOUN
ejpam-3978	212	21	for	for	ADP
ejpam-3978	212	22	nonlinear	nonlinear	ADJ
ejpam-3978	212	23	fractional	fractional	ADJ
ejpam-3978	212	24	differential	differential	ADJ
ejpam-3978	212	25	equations	equation	NOUN
ejpam-3978	212	26	with	with	ADP
ejpam-3978	212	27	two	two	NUM
ejpam-3978	212	28	-	-	PUNCT
ejpam-3978	212	29	point	point	NOUN
ejpam-3978	212	30	boundary	boundary	ADJ
ejpam-3978	212	31	conditions	condition	NOUN
ejpam-3978	212	32	,	,	PUNCT
ejpam-3978	212	33	advanced	advanced	ADJ
ejpam-3978	212	34	mathematical	mathematical	ADJ
ejpam-3978	212	35	models	model	NOUN
ejpam-3978	212	36	applications	application	VERB
ejpam-3978	212	37	3(1):54	3(1):54	NUM
ejpam-3978	212	38	-	-	SYM
ejpam-3978	212	39	62	62	NUM
ejpam-3978	212	40	,	,	PUNCT
ejpam-3978	212	41	2018	2018	NUM
ejpam-3978	212	42	.	.	PUNCT
ejpam-3978	213	1	[	[	X
ejpam-3978	213	2	23	23	NUM
ejpam-3978	213	3	]	]	PUNCT
ejpam-3978	213	4	x.	x.	PROPN
ejpam-3978	213	5	zhang	zhang	PROPN
ejpam-3978	213	6	,	,	PUNCT
ejpam-3978	213	7	l.	l.	PROPN
ejpam-3978	213	8	liu	liu	PROPN
ejpam-3978	213	9	,	,	PUNCT
ejpam-3978	213	10	y.	y.	PROPN
ejpam-3978	213	11	wu	wu	PROPN
ejpam-3978	213	12	,	,	PUNCT
ejpam-3978	213	13	y	y	PROPN
ejpam-3978	213	14	zou	zou	PROPN
ejpam-3978	213	15	.	.	PUNCT
ejpam-3978	213	16	existence	existence	NOUN
ejpam-3978	213	17	and	and	CCONJ
ejpam-3978	213	18	uniqueness	uniqueness	NOUN
ejpam-3978	213	19	of	of	ADP
ejpam-3978	213	20	solutions	solution	NOUN
ejpam-3978	213	21	for	for	ADP
ejpam-3978	213	22	systems	system	NOUN
ejpam-3978	213	23	of	of	ADP
ejpam-3978	213	24	fractional	fractional	ADJ
ejpam-3978	213	25	differential	differential	ADJ
ejpam-3978	213	26	equations	equation	NOUN
ejpam-3978	213	27	with	with	ADP
ejpam-3978	213	28	riemann	riemann	PROPN
ejpam-3978	213	29	-	-	PUNCT
ejpam-3978	213	30	stieltjes	stieltjes	PROPN
ejpam-3978	213	31	integral	integral	ADJ
ejpam-3978	213	32	boundary	boundary	ADJ
ejpam-3978	213	33	condition	condition	NOUN
ejpam-3978	213	34	.	.	PUNCT
ejpam-3978	214	1	adv	adv	PROPN
ejpam-3978	214	2	.	.	PROPN
ejpam-3978	214	3	differ	differ	VERB
ejpam-3978	214	4	.	.	PUNCT
ejpam-3978	215	1	equ	equ	PROPN
ejpam-3978	215	2	.	.	PROPN
ejpam-3978	215	3	2018	2018	NUM
ejpam-3978	215	4	,	,	PUNCT
ejpam-3978	215	5	article	article	NOUN
ejpam-3978	215	6	i	i	PROPN
ejpam-3978	215	7	d	d	PROPN
ejpam-3978	215	8	204	204	NUM
ejpam-3978	215	9	(	(	PUNCT
ejpam-3978	215	10	2018	2018	NUM
ejpam-3978	215	11	)	)	PUNCT
ejpam-3978	215	12	.	.	PUNCT
ejpam-3978	216	1	[	[	X
ejpam-3978	216	2	24	24	NUM
ejpam-3978	216	3	]	]	X
ejpam-3978	216	4	y.	y.	PROPN
ejpam-3978	216	5	zou	zou	PROPN
ejpam-3978	216	6	,	,	PUNCT
ejpam-3978	216	7	g.	g.	PROPN
ejpam-3978	216	8	he	he	PRON
ejpam-3978	216	9	,	,	PUNCT
ejpam-3978	216	10	the	the	DET
ejpam-3978	216	11	existence	existence	NOUN
ejpam-3978	216	12	of	of	ADP
ejpam-3978	216	13	solutions	solution	NOUN
ejpam-3978	216	14	to	to	ADP
ejpam-3978	216	15	integral	integral	ADJ
ejpam-3978	216	16	boundary	boundary	ADJ
ejpam-3978	216	17	value	value	NOUN
ejpam-3978	216	18	problems	problem	NOUN
ejpam-3978	216	19	of	of	ADP
ejpam-3978	216	20	fractional	fractional	ADJ
ejpam-3978	216	21	differential	differential	ADJ
ejpam-3978	216	22	equations	equation	NOUN
ejpam-3978	216	23	at	at	ADP
ejpam-3978	216	24	resonance	resonance	NOUN
ejpam-3978	216	25	.	.	PUNCT
ejpam-3978	217	1	j.	j.	PROPN
ejpam-3978	217	2	funct	funct	PROPN
ejpam-3978	217	3	.	.	PUNCT
ejpam-3978	218	1	spaces	space	VERB
ejpam-3978	218	2	2017	2017	NUM
ejpam-3978	218	3	,	,	PUNCT
ejpam-3978	218	4	article	article	NOUN
ejpam-3978	218	5	i	i	PROPN
ejpam-3978	218	6	d	d	PROPN
ejpam-3978	218	7	2785937	2785937	NUM
ejpam-3978	218	8	(	(	PUNCT
ejpam-3978	218	9	2017	2017	NUM
ejpam-3978	218	10	)	)	PUNCT
ejpam-3978	218	11	.	.	PUNCT
ejpam-3978	219	1	[	[	X
ejpam-3978	219	2	25	25	NUM
ejpam-3978	219	3	]	]	X
ejpam-3978	219	4	s.s	s.s	PROPN
ejpam-3978	219	5	.	.	PROPN
ejpam-3978	219	6	yusubov	yusubov	PROPN
ejpam-3978	219	7	,	,	PUNCT
ejpam-3978	219	8	boundary	boundary	ADJ
ejpam-3978	219	9	value	value	NOUN
ejpam-3978	219	10	problems	problem	NOUN
ejpam-3978	219	11	for	for	ADP
ejpam-3978	219	12	hyperbolic	hyperbolic	ADJ
ejpam-3978	219	13	equations	equation	NOUN
ejpam-3978	219	14	with	with	ADP
ejpam-3978	219	15	a	a	DET
ejpam-3978	219	16	caputo	caputo	PROPN
ejpam-3978	219	17	fractional	fractional	PROPN
ejpam-3978	219	18	derivative	derivative	PROPN
ejpam-3978	219	19	.	.	PUNCT
ejpam-3978	220	1	advanced	advanced	ADJ
ejpam-3978	220	2	mathematical	mathematical	ADJ
ejpam-3978	220	3	models	model	NOUN
ejpam-3978	220	4	,	,	PUNCT
ejpam-3978	220	5	applications	application	NOUN
ejpam-3978	220	6	,	,	PUNCT
ejpam-3978	220	7	5(2	5(2	NUM
ejpam-3978	220	8	):	):	PUNCT
ejpam-3978	220	9	192	192	NUM
ejpam-3978	220	10	-	-	SYM
ejpam-3978	220	11	204	204	NUM
ejpam-3978	220	12	,	,	PUNCT
ejpam-3978	220	13	2020	2020	NUM
ejpam-3978	220	14	.	.	PUNCT