id	sid	tid	token	lemma	pos
ejpam-6152	1	1	european	european	PROPN
ejpam-6152	1	2	journal	journal	PROPN
ejpam-6152	1	3	of	of	ADP
ejpam-6152	1	4	pure	pure	ADJ
ejpam-6152	1	5	and	and	CCONJ
ejpam-6152	1	6	applied	applied	ADJ
ejpam-6152	1	7	mathematics	mathematic	NOUN
ejpam-6152	1	8	2025	2025	NUM
ejpam-6152	1	9	,	,	PUNCT
ejpam-6152	1	10	vol	vol	NOUN
ejpam-6152	1	11	.	.	PROPN
ejpam-6152	1	12	18	18	NUM
ejpam-6152	1	13	,	,	PUNCT
ejpam-6152	1	14	issue	issue	NOUN
ejpam-6152	1	15	2	2	NUM
ejpam-6152	1	16	,	,	PUNCT
ejpam-6152	1	17	article	article	NOUN
ejpam-6152	1	18	number	number	NOUN
ejpam-6152	1	19	6152	6152	NUM
ejpam-6152	1	20	issn	issn	VERB
ejpam-6152	1	21	1307	1307	NUM
ejpam-6152	1	22	-	-	SYM
ejpam-6152	1	23	5543	5543	NUM
ejpam-6152	1	24	–	–	PUNCT
ejpam-6152	1	25	ejpam.com	ejpam.com	X
ejpam-6152	1	26	published	publish	VERB
ejpam-6152	1	27	by	by	ADP
ejpam-6152	1	28	new	new	PROPN
ejpam-6152	1	29	york	york	PROPN
ejpam-6152	1	30	business	business	PROPN
ejpam-6152	1	31	global	global	PROPN
ejpam-6152	1	32	hyers	hyers	PROPN
ejpam-6152	1	33	-	-	PUNCT
ejpam-6152	1	34	ulam	ulam	PROPN
ejpam-6152	1	35	stability	stability	NOUN
ejpam-6152	1	36	and	and	CCONJ
ejpam-6152	1	37	control	control	NOUN
ejpam-6152	1	38	of	of	ADP
ejpam-6152	1	39	fractional	fractional	ADJ
ejpam-6152	1	40	glucose	glucose	NOUN
ejpam-6152	1	41	-	-	PUNCT
ejpam-6152	1	42	insulin	insulin	NOUN
ejpam-6152	1	43	systems	system	NOUN
ejpam-6152	1	44	sayed	say	VERB
ejpam-6152	1	45	saber1,2,∗	saber1,2,∗	PROPN
ejpam-6152	1	46	,	,	PUNCT
ejpam-6152	1	47	brahim	brahim	PROPN
ejpam-6152	1	48	dridi3	dridi3	PROPN
ejpam-6152	1	49	,	,	PUNCT
ejpam-6152	1	50	abdullah	abdullah	PROPN
ejpam-6152	1	51	alahmari3	alahmari3	PROPN
ejpam-6152	1	52	,	,	PUNCT
ejpam-6152	1	53	mohammed	mohammed	PROPN
ejpam-6152	1	54	messaoudi4	messaoudi4	PROPN
ejpam-6152	1	55	1	1	NUM
ejpam-6152	1	56	mathematics	mathematics	PROPN
ejpam-6152	1	57	department	department	NOUN
ejpam-6152	1	58	,	,	PUNCT
ejpam-6152	1	59	faculty	faculty	NOUN
ejpam-6152	1	60	of	of	ADP
ejpam-6152	1	61	science	science	NOUN
ejpam-6152	1	62	,	,	PUNCT
ejpam-6152	1	63	al	al	PROPN
ejpam-6152	1	64	-	-	PUNCT
ejpam-6152	1	65	baha	baha	PROPN
ejpam-6152	1	66	university	university	PROPN
ejpam-6152	1	67	,	,	PUNCT
ejpam-6152	1	68	saudi	saudi	PROPN
ejpam-6152	1	69	arabia	arabia	PROPN
ejpam-6152	1	70	2	2	NUM
ejpam-6152	1	71	department	department	NOUN
ejpam-6152	1	72	of	of	ADP
ejpam-6152	1	73	mathematics	mathematic	NOUN
ejpam-6152	1	74	and	and	CCONJ
ejpam-6152	1	75	computer	computer	NOUN
ejpam-6152	1	76	science	science	NOUN
ejpam-6152	1	77	,	,	PUNCT
ejpam-6152	1	78	faculty	faculty	NOUN
ejpam-6152	1	79	of	of	ADP
ejpam-6152	1	80	science	science	NOUN
ejpam-6152	1	81	,	,	PUNCT
ejpam-6152	1	82	beni	beni	ADJ
ejpam-6152	1	83	-	-	ADJ
ejpam-6152	1	84	suef	suef	ADJ
ejpam-6152	1	85	university	university	NOUN
ejpam-6152	1	86	,	,	PUNCT
ejpam-6152	1	87	egypt	egypt	PROPN
ejpam-6152	1	88	3	3	NUM
ejpam-6152	1	89	mathematics	mathematics	PROPN
ejpam-6152	1	90	department	department	NOUN
ejpam-6152	1	91	,	,	PUNCT
ejpam-6152	1	92	faculty	faculty	NOUN
ejpam-6152	1	93	of	of	ADP
ejpam-6152	1	94	sciences	science	NOUN
ejpam-6152	1	95	,	,	PUNCT
ejpam-6152	1	96	umm	umm	INTJ
ejpam-6152	1	97	al	al	PROPN
ejpam-6152	1	98	-	-	PUNCT
ejpam-6152	1	99	qura	qura	PROPN
ejpam-6152	1	100	university	university	PROPN
ejpam-6152	1	101	,	,	PUNCT
ejpam-6152	1	102	p.o	p.o	PROPN
ejpam-6152	1	103	.	.	PROPN
ejpam-6152	1	104	box	box	PROPN
ejpam-6152	1	105	14035	14035	NUM
ejpam-6152	1	106	,	,	PUNCT
ejpam-6152	1	107	makkah	makkah	PROPN
ejpam-6152	1	108	,	,	PUNCT
ejpam-6152	1	109	21955	21955	NUM
ejpam-6152	1	110	,	,	PUNCT
ejpam-6152	1	111	saudi	saudi	PROPN
ejpam-6152	1	112	arabia	arabia	PROPN
ejpam-6152	1	113	4	4	NUM
ejpam-6152	1	114	imam	imam	NOUN
ejpam-6152	1	115	mohammad	mohammad	PROPN
ejpam-6152	1	116	ibn	ibn	PROPN
ejpam-6152	1	117	saud	saud	PROPN
ejpam-6152	1	118	islamic	islamic	PROPN
ejpam-6152	1	119	university	university	PROPN
ejpam-6152	1	120	(	(	PUNCT
ejpam-6152	1	121	imsiu	imsiu	PROPN
ejpam-6152	1	122	)	)	PUNCT
ejpam-6152	1	123	,	,	PUNCT
ejpam-6152	1	124	college	college	NOUN
ejpam-6152	1	125	of	of	ADP
ejpam-6152	1	126	science	science	NOUN
ejpam-6152	1	127	,	,	PUNCT
ejpam-6152	1	128	department	department	NOUN
ejpam-6152	1	129	of	of	ADP
ejpam-6152	1	130	mathematics	mathematics	PROPN
ejpam-6152	1	131	and	and	CCONJ
ejpam-6152	1	132	statistics	statistic	NOUN
ejpam-6152	1	133	,	,	PUNCT
ejpam-6152	1	134	riyadh	riyadh	PROPN
ejpam-6152	1	135	,	,	PUNCT
ejpam-6152	1	136	saudi	saudi	PROPN
ejpam-6152	1	137	arabia	arabia	PROPN
ejpam-6152	1	138	abstract	abstract	NOUN
ejpam-6152	1	139	.	.	PUNCT
ejpam-6152	2	1	this	this	DET
ejpam-6152	2	2	paper	paper	NOUN
ejpam-6152	2	3	presents	present	VERB
ejpam-6152	2	4	a	a	DET
ejpam-6152	2	5	novel	novel	ADJ
ejpam-6152	2	6	fractional	fractional	ADJ
ejpam-6152	2	7	-	-	PUNCT
ejpam-6152	2	8	order	order	NOUN
ejpam-6152	2	9	model	model	NOUN
ejpam-6152	2	10	for	for	ADP
ejpam-6152	2	11	glucose	glucose	NOUN
ejpam-6152	2	12	-	-	PUNCT
ejpam-6152	2	13	insulin	insulin	NOUN
ejpam-6152	2	14	dynamics	dynamic	NOUN
ejpam-6152	2	15	using	use	VERB
ejpam-6152	2	16	the	the	DET
ejpam-6152	2	17	caputo	caputo	PROPN
ejpam-6152	2	18	-	-	PUNCT
ejpam-6152	2	19	fabrizio	fabrizio	PROPN
ejpam-6152	2	20	(	(	PUNCT
ejpam-6152	2	21	cf	cf	NOUN
ejpam-6152	2	22	)	)	PUNCT
ejpam-6152	2	23	derivative	derivative	NOUN
ejpam-6152	2	24	,	,	PUNCT
ejpam-6152	2	25	which	which	PRON
ejpam-6152	2	26	accounts	account	VERB
ejpam-6152	2	27	for	for	ADP
ejpam-6152	2	28	memory	memory	NOUN
ejpam-6152	2	29	effects	effect	NOUN
ejpam-6152	2	30	through	through	ADP
ejpam-6152	2	31	its	its	PRON
ejpam-6152	2	32	nonsingular	nonsingular	ADJ
ejpam-6152	2	33	exponential	exponential	ADJ
ejpam-6152	2	34	kernel	kernel	NOUN
ejpam-6152	2	35	.	.	PUNCT
ejpam-6152	3	1	existence	existence	NOUN
ejpam-6152	3	2	and	and	CCONJ
ejpam-6152	3	3	uniqueness	uniqueness	NOUN
ejpam-6152	3	4	of	of	ADP
ejpam-6152	3	5	the	the	DET
ejpam-6152	3	6	solution	solution	NOUN
ejpam-6152	3	7	are	be	AUX
ejpam-6152	3	8	established	establish	VERB
ejpam-6152	3	9	via	via	ADP
ejpam-6152	3	10	fixed	fix	VERB
ejpam-6152	3	11	point	point	NOUN
ejpam-6152	3	12	theory	theory	NOUN
ejpam-6152	3	13	,	,	PUNCT
ejpam-6152	3	14	and	and	CCONJ
ejpam-6152	3	15	infinite	infinite	ADJ
ejpam-6152	3	16	series	series	NOUN
ejpam-6152	3	17	solutions	solution	NOUN
ejpam-6152	3	18	are	be	AUX
ejpam-6152	3	19	obtained	obtain	VERB
ejpam-6152	3	20	using	use	VERB
ejpam-6152	3	21	the	the	DET
ejpam-6152	3	22	sumudu	sumudu	NOUN
ejpam-6152	3	23	transform	transform	NOUN
ejpam-6152	3	24	.	.	PUNCT
ejpam-6152	4	1	hyers	hyer	NOUN
ejpam-6152	4	2	-	-	PUNCT
ejpam-6152	4	3	ulam	ulam	PROPN
ejpam-6152	4	4	stability	stability	NOUN
ejpam-6152	4	5	is	be	AUX
ejpam-6152	4	6	analyzed	analyze	VERB
ejpam-6152	4	7	to	to	PART
ejpam-6152	4	8	assess	assess	VERB
ejpam-6152	4	9	the	the	DET
ejpam-6152	4	10	system	system	NOUN
ejpam-6152	4	11	’s	’s	PART
ejpam-6152	4	12	robustness	robustness	NOUN
ejpam-6152	4	13	against	against	ADP
ejpam-6152	4	14	perturbations	perturbation	NOUN
ejpam-6152	4	15	.	.	PUNCT
ejpam-6152	5	1	a	a	DET
ejpam-6152	5	2	linear	linear	PROPN
ejpam-6152	5	3	control	control	NOUN
ejpam-6152	5	4	strategy	strategy	NOUN
ejpam-6152	5	5	is	be	AUX
ejpam-6152	5	6	introduced	introduce	VERB
ejpam-6152	5	7	to	to	PART
ejpam-6152	5	8	regulate	regulate	VERB
ejpam-6152	5	9	glucose	glucose	NOUN
ejpam-6152	5	10	levels	level	NOUN
ejpam-6152	5	11	,	,	PUNCT
ejpam-6152	5	12	demonstrating	demonstrate	VERB
ejpam-6152	5	13	potential	potential	NOUN
ejpam-6152	5	14	for	for	ADP
ejpam-6152	5	15	integration	integration	NOUN
ejpam-6152	5	16	with	with	ADP
ejpam-6152	5	17	real	real	ADJ
ejpam-6152	5	18	-	-	PUNCT
ejpam-6152	5	19	time	time	NOUN
ejpam-6152	5	20	insulin	insulin	NOUN
ejpam-6152	5	21	delivery	delivery	NOUN
ejpam-6152	5	22	systems	system	NOUN
ejpam-6152	5	23	.	.	PUNCT
ejpam-6152	6	1	compared	compare	VERB
ejpam-6152	6	2	to	to	ADP
ejpam-6152	6	3	classical	classical	ADJ
ejpam-6152	6	4	integer	integer	NOUN
ejpam-6152	6	5	-	-	PUNCT
ejpam-6152	6	6	order	order	NOUN
ejpam-6152	6	7	models	model	NOUN
ejpam-6152	6	8	,	,	PUNCT
ejpam-6152	6	9	the	the	DET
ejpam-6152	6	10	proposed	propose	VERB
ejpam-6152	6	11	approach	approach	NOUN
ejpam-6152	6	12	provides	provide	VERB
ejpam-6152	6	13	improved	improved	ADJ
ejpam-6152	6	14	accuracy	accuracy	NOUN
ejpam-6152	6	15	,	,	PUNCT
ejpam-6152	6	16	enhanced	enhanced	ADJ
ejpam-6152	6	17	stability	stability	NOUN
ejpam-6152	6	18	,	,	PUNCT
ejpam-6152	6	19	and	and	CCONJ
ejpam-6152	6	20	deeper	deep	ADJ
ejpam-6152	6	21	insight	insight	NOUN
ejpam-6152	6	22	into	into	ADP
ejpam-6152	6	23	the	the	DET
ejpam-6152	6	24	chaotic	chaotic	ADJ
ejpam-6152	6	25	behavior	behavior	NOUN
ejpam-6152	6	26	of	of	ADP
ejpam-6152	6	27	glucoseinsulin	glucoseinsulin	PROPN
ejpam-6152	6	28	interactions	interaction	NOUN
ejpam-6152	6	29	.	.	PUNCT
ejpam-6152	7	1	this	this	DET
ejpam-6152	7	2	framework	framework	NOUN
ejpam-6152	7	3	supports	support	VERB
ejpam-6152	7	4	the	the	DET
ejpam-6152	7	5	development	development	NOUN
ejpam-6152	7	6	of	of	ADP
ejpam-6152	7	7	personalized	personalized	ADJ
ejpam-6152	7	8	diabetes	diabetes	NOUN
ejpam-6152	7	9	treatment	treatment	NOUN
ejpam-6152	7	10	and	and	CCONJ
ejpam-6152	7	11	adaptive	adaptive	ADJ
ejpam-6152	7	12	control	control	NOUN
ejpam-6152	7	13	strategies	strategy	NOUN
ejpam-6152	7	14	.	.	PUNCT
ejpam-6152	8	1	2020	2020	NUM
ejpam-6152	8	2	mathematics	mathematic	NOUN
ejpam-6152	8	3	subject	subject	NOUN
ejpam-6152	8	4	classifications	classification	NOUN
ejpam-6152	8	5	:	:	PUNCT
ejpam-6152	8	6	34l99	34l99	NUM
ejpam-6152	8	7	key	key	ADJ
ejpam-6152	8	8	words	word	NOUN
ejpam-6152	8	9	and	and	CCONJ
ejpam-6152	8	10	phrases	phrase	NOUN
ejpam-6152	8	11	:	:	PUNCT
ejpam-6152	8	12	fractional	fractional	ADJ
ejpam-6152	8	13	calculus	calculus	NOUN
ejpam-6152	8	14	,	,	PUNCT
ejpam-6152	8	15	glucose	glucose	NOUN
ejpam-6152	8	16	-	-	PUNCT
ejpam-6152	8	17	insulin	insulin	NOUN
ejpam-6152	8	18	model	model	NOUN
ejpam-6152	8	19	,	,	PUNCT
ejpam-6152	8	20	chaos	chaos	NOUN
ejpam-6152	8	21	control	control	NOUN
ejpam-6152	8	22	,	,	PUNCT
ejpam-6152	8	23	stability	stability	NOUN
ejpam-6152	8	24	analysis	analysis	NOUN
ejpam-6152	8	25	,	,	PUNCT
ejpam-6152	8	26	caputo	caputo	PROPN
ejpam-6152	8	27	fractional	fractional	PROPN
ejpam-6152	8	28	derivative	derivative	PROPN
ejpam-6152	8	29	,	,	PUNCT
ejpam-6152	8	30	numerical	numerical	PROPN
ejpam-6152	8	31	simulation	simulation	PROPN
ejpam-6152	8	32	,	,	PUNCT
ejpam-6152	8	33	diabetes	diabete	VERB
ejpam-6152	8	34	modeling	modeling	NOUN
ejpam-6152	8	35	.	.	PUNCT
ejpam-6152	9	1	1	1	X
ejpam-6152	9	2	.	.	X
ejpam-6152	9	3	introduction	introduction	NOUN
ejpam-6152	9	4	the	the	DET
ejpam-6152	9	5	prevalence	prevalence	NOUN
ejpam-6152	9	6	of	of	ADP
ejpam-6152	9	7	diabetes	diabetes	NOUN
ejpam-6152	9	8	among	among	ADP
ejpam-6152	9	9	adults	adult	NOUN
ejpam-6152	9	10	worldwide	worldwide	ADV
ejpam-6152	9	11	has	have	AUX
ejpam-6152	9	12	increased	increase	VERB
ejpam-6152	9	13	to	to	ADP
ejpam-6152	9	14	over	over	ADP
ejpam-6152	9	15	422	422	NUM
ejpam-6152	9	16	million	million	NUM
ejpam-6152	9	17	,	,	PUNCT
ejpam-6152	9	18	according	accord	VERB
ejpam-6152	9	19	to	to	ADP
ejpam-6152	9	20	who	who	PRON
ejpam-6152	10	1	[	[	X
ejpam-6152	10	2	1	1	NUM
ejpam-6152	10	3	]	]	PUNCT
ejpam-6152	10	4	.	.	PUNCT
ejpam-6152	11	1	diabetes	diabetes	NOUN
ejpam-6152	11	2	and	and	CCONJ
ejpam-6152	11	3	its	its	PRON
ejpam-6152	11	4	complications	complication	NOUN
ejpam-6152	11	5	have	have	AUX
ejpam-6152	11	6	been	be	AUX
ejpam-6152	11	7	studied	study	VERB
ejpam-6152	11	8	extensively	extensively	ADV
ejpam-6152	11	9	over	over	ADP
ejpam-6152	11	10	the	the	DET
ejpam-6152	11	11	last	last	ADJ
ejpam-6152	11	12	decade	decade	NOUN
ejpam-6152	11	13	,	,	PUNCT
ejpam-6152	11	14	highlighting	highlight	VERB
ejpam-6152	11	15	the	the	DET
ejpam-6152	11	16	need	need	NOUN
ejpam-6152	11	17	for	for	ADP
ejpam-6152	11	18	long	long	ADJ
ejpam-6152	11	19	-	-	PUNCT
ejpam-6152	11	20	term	term	NOUN
ejpam-6152	11	21	management	management	NOUN
ejpam-6152	11	22	.	.	PUNCT
ejpam-6152	12	1	diabetes	diabetes	NOUN
ejpam-6152	12	2	burden	burden	NOUN
ejpam-6152	12	3	can	can	AUX
ejpam-6152	12	4	be	be	AUX
ejpam-6152	12	5	reduced	reduce	VERB
ejpam-6152	12	6	through	through	ADP
ejpam-6152	12	7	early	early	ADJ
ejpam-6152	12	8	detection	detection	NOUN
ejpam-6152	12	9	and	and	CCONJ
ejpam-6152	12	10	prevention	prevention	NOUN
ejpam-6152	12	11	[	[	X
ejpam-6152	12	12	2	2	NUM
ejpam-6152	12	13	]	]	PUNCT
ejpam-6152	12	14	.	.	PUNCT
ejpam-6152	13	1	a	a	DET
ejpam-6152	13	2	healthcare	healthcare	NOUN
ejpam-6152	13	3	professional	professional	NOUN
ejpam-6152	13	4	is	be	AUX
ejpam-6152	13	5	essential	essential	ADJ
ejpam-6152	13	6	∗corresponding	∗corresponde	VERB
ejpam-6152	13	7	author	author	NOUN
ejpam-6152	13	8	.	.	PUNCT
ejpam-6152	14	1	doi	doi	NOUN
ejpam-6152	14	2	:	:	PUNCT
ejpam-6152	14	3	https://doi.org/10.29020/nybg.ejpam.v18i2.6152	https://doi.org/10.29020/nybg.ejpam.v18i2.6152	PROPN
ejpam-6152	14	4	email	email	NOUN
ejpam-6152	14	5	addresses	address	VERB
ejpam-6152	14	6	:	:	PUNCT
ejpam-6152	15	1	sayed011258@science.bsu.edu.eg	sayed011258@science.bsu.edu.eg	ADP
ejpam-6152	15	2	(	(	PUNCT
ejpam-6152	15	3	s.	s.	PROPN
ejpam-6152	15	4	saber	saber	PROPN
ejpam-6152	15	5	)	)	PUNCT
ejpam-6152	15	6	,	,	PUNCT
ejpam-6152	15	7	iodridi@uqu.edu.sa	iodridi@uqu.edu.sa	PROPN
ejpam-6152	15	8	(	(	PUNCT
ejpam-6152	15	9	b.	b.	PROPN
ejpam-6152	15	10	dridi	dridi	PROPN
ejpam-6152	15	11	)	)	PUNCT
ejpam-6152	15	12	,	,	PUNCT
ejpam-6152	15	13	aaahmari@uqu.edu.sa	aaahmari@uqu.edu.sa	NOUN
ejpam-6152	15	14	(	(	PUNCT
ejpam-6152	15	15	a.	a.	NOUN
ejpam-6152	15	16	alahmari	alahmari	PROPN
ejpam-6152	15	17	)	)	PUNCT
ejpam-6152	15	18	,	,	PUNCT
ejpam-6152	15	19	mmessaoudi@imamu.edu.sa	mmessaoudi@imamu.edu.sa	NOUN
ejpam-6152	15	20	(	(	PUNCT
ejpam-6152	15	21	m.	m.	NOUN
ejpam-6152	15	22	messaoudi	messaoudi	PROPN
ejpam-6152	15	23	)	)	PUNCT
ejpam-6152	15	24	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6152	16	1	1	1	NUM
ejpam-6152	16	2	copyright	copyright	NOUN
ejpam-6152	16	3	:	:	PUNCT
ejpam-6152	16	4	©	©	PROPN
ejpam-6152	16	5	2025	2025	NUM
ejpam-6152	16	6	the	the	DET
ejpam-6152	16	7	author(s	author(s	NOUN
ejpam-6152	16	8	)	)	PUNCT
ejpam-6152	16	9	.	.	PUNCT
ejpam-6152	17	1	(	(	PUNCT
ejpam-6152	17	2	cc	cc	NOUN
ejpam-6152	17	3	by	by	ADP
ejpam-6152	17	4	-	-	PUNCT
ejpam-6152	17	5	nc	nc	PROPN
ejpam-6152	17	6	4.0	4.0	NUM
ejpam-6152	17	7	)	)	PUNCT
ejpam-6152	17	8	s.	s.	PROPN
ejpam-6152	17	9	saber	saber	PROPN
ejpam-6152	17	10	et	et	PROPN
ejpam-6152	17	11	al	al	PROPN
ejpam-6152	17	12	.	.	PUNCT
ejpam-6152	17	13	/	/	SYM
ejpam-6152	17	14	eur	eur	PROPN
ejpam-6152	17	15	.	.	PUNCT
ejpam-6152	18	1	j.	j.	PROPN
ejpam-6152	18	2	pure	pure	PROPN
ejpam-6152	18	3	appl	appl	PROPN
ejpam-6152	18	4	.	.	PROPN
ejpam-6152	18	5	math	math	PROPN
ejpam-6152	18	6	,	,	PUNCT
ejpam-6152	18	7	18	18	NUM
ejpam-6152	18	8	(	(	PUNCT
ejpam-6152	18	9	2	2	NUM
ejpam-6152	18	10	)	)	PUNCT
ejpam-6152	18	11	(	(	PUNCT
ejpam-6152	18	12	2025	2025	NUM
ejpam-6152	18	13	)	)	PUNCT
ejpam-6152	18	14	,	,	PUNCT
ejpam-6152	18	15	6152	6152	NUM
ejpam-6152	18	16	2	2	NUM
ejpam-6152	18	17	of	of	ADP
ejpam-6152	18	18	24	24	NUM
ejpam-6152	18	19	in	in	ADP
ejpam-6152	18	20	managing	manage	VERB
ejpam-6152	18	21	a	a	DET
ejpam-6152	18	22	patient	patient	NOUN
ejpam-6152	18	23	’s	’s	PART
ejpam-6152	18	24	condition	condition	NOUN
ejpam-6152	18	25	and	and	CCONJ
ejpam-6152	18	26	preventing	prevent	VERB
ejpam-6152	18	27	complications	complication	NOUN
ejpam-6152	18	28	[	[	X
ejpam-6152	18	29	3	3	NUM
ejpam-6152	18	30	]	]	PUNCT
ejpam-6152	18	31	.	.	PUNCT
ejpam-6152	19	1	literature	literature	NOUN
ejpam-6152	19	2	on	on	ADP
ejpam-6152	19	3	glucoseinsulin	glucoseinsulin	PROPN
ejpam-6152	19	4	dynamics	dynamic	NOUN
ejpam-6152	19	5	,	,	PUNCT
ejpam-6152	19	6	epidemiology	epidemiology	NOUN
ejpam-6152	19	7	,	,	PUNCT
ejpam-6152	19	8	complications	complication	NOUN
ejpam-6152	19	9	,	,	PUNCT
ejpam-6152	19	10	and	and	CCONJ
ejpam-6152	19	11	the	the	DET
ejpam-6152	19	12	economic	economic	ADJ
ejpam-6152	19	13	burden	burden	NOUN
ejpam-6152	19	14	of	of	ADP
ejpam-6152	19	15	diabetes	diabetes	NOUN
ejpam-6152	19	16	is	be	AUX
ejpam-6152	19	17	growing	grow	VERB
ejpam-6152	19	18	.	.	PUNCT
ejpam-6152	20	1	many	many	ADJ
ejpam-6152	20	2	mathematical	mathematical	ADJ
ejpam-6152	20	3	,	,	PUNCT
ejpam-6152	20	4	statistical	statistical	ADJ
ejpam-6152	20	5	,	,	PUNCT
ejpam-6152	20	6	and	and	CCONJ
ejpam-6152	20	7	computational	computational	ADJ
ejpam-6152	20	8	algorithms	algorithm	NOUN
ejpam-6152	20	9	have	have	AUX
ejpam-6152	20	10	been	be	AUX
ejpam-6152	20	11	proposed	propose	VERB
ejpam-6152	20	12	to	to	PART
ejpam-6152	20	13	help	help	VERB
ejpam-6152	20	14	us	we	PRON
ejpam-6152	20	15	understand	understand	VERB
ejpam-6152	20	16	diabetes	diabetes	NOUN
ejpam-6152	20	17	[	[	X
ejpam-6152	20	18	4	4	NUM
ejpam-6152	20	19	,	,	PUNCT
ejpam-6152	20	20	5	5	NUM
ejpam-6152	20	21	]	]	PUNCT
ejpam-6152	20	22	.	.	PUNCT
ejpam-6152	21	1	the	the	DET
ejpam-6152	21	2	studies	study	NOUN
ejpam-6152	21	3	cover	cover	VERB
ejpam-6152	21	4	the	the	DET
ejpam-6152	21	5	range	range	NOUN
ejpam-6152	21	6	of	of	ADP
ejpam-6152	21	7	topics	topic	NOUN
ejpam-6152	21	8	discussed	discuss	VERB
ejpam-6152	21	9	above	above	ADV
ejpam-6152	21	10	,	,	PUNCT
ejpam-6152	21	11	such	such	ADJ
ejpam-6152	21	12	as	as	ADP
ejpam-6152	21	13	the	the	DET
ejpam-6152	21	14	dynamics	dynamic	NOUN
ejpam-6152	21	15	of	of	ADP
ejpam-6152	21	16	glucose	glucose	NOUN
ejpam-6152	21	17	and	and	CCONJ
ejpam-6152	21	18	insulin	insulin	NOUN
ejpam-6152	21	19	in	in	ADP
ejpam-6152	21	20	relation	relation	NOUN
ejpam-6152	21	21	to	to	ADP
ejpam-6152	21	22	insulin	insulin	NOUN
ejpam-6152	21	23	[	[	X
ejpam-6152	21	24	6	6	NUM
ejpam-6152	21	25	,	,	PUNCT
ejpam-6152	21	26	7	7	NUM
ejpam-6152	21	27	]	]	PUNCT
ejpam-6152	21	28	,	,	PUNCT
ejpam-6152	21	29	computer	computer	NOUN
ejpam-6152	21	30	algorithms	algorithm	NOUN
ejpam-6152	21	31	and	and	CCONJ
ejpam-6152	21	32	devices	device	NOUN
ejpam-6152	22	1	[	[	X
ejpam-6152	22	2	8–10	8–10	NOUN
ejpam-6152	22	3	]	]	PUNCT
ejpam-6152	22	4	,	,	PUNCT
ejpam-6152	22	5	and	and	CCONJ
ejpam-6152	22	6	the	the	DET
ejpam-6152	22	7	costs	cost	NOUN
ejpam-6152	22	8	associated	associate	VERB
ejpam-6152	22	9	with	with	ADP
ejpam-6152	22	10	diabetes	diabetes	NOUN
ejpam-6152	22	11	[	[	X
ejpam-6152	22	12	11	11	NUM
ejpam-6152	22	13	,	,	PUNCT
ejpam-6152	22	14	12	12	NUM
ejpam-6152	22	15	]	]	PUNCT
ejpam-6152	22	16	.	.	PUNCT
ejpam-6152	23	1	additionally	additionally	ADV
ejpam-6152	23	2	,	,	PUNCT
ejpam-6152	23	3	research	research	NOUN
ejpam-6152	23	4	has	have	AUX
ejpam-6152	23	5	been	be	AUX
ejpam-6152	23	6	conducted	conduct	VERB
ejpam-6152	23	7	on	on	ADP
ejpam-6152	23	8	the	the	DET
ejpam-6152	23	9	psychosocial	psychosocial	ADJ
ejpam-6152	23	10	aspects	aspect	NOUN
ejpam-6152	23	11	of	of	ADP
ejpam-6152	23	12	diabetes	diabetes	NOUN
ejpam-6152	23	13	,	,	PUNCT
ejpam-6152	23	14	such	such	ADJ
ejpam-6152	23	15	as	as	ADP
ejpam-6152	23	16	quality	quality	NOUN
ejpam-6152	23	17	of	of	ADP
ejpam-6152	23	18	life	life	NOUN
ejpam-6152	23	19	and	and	CCONJ
ejpam-6152	23	20	social	social	ADJ
ejpam-6152	23	21	support	support	NOUN
ejpam-6152	23	22	[	[	X
ejpam-6152	23	23	13	13	NUM
ejpam-6152	23	24	,	,	PUNCT
ejpam-6152	23	25	14	14	NUM
ejpam-6152	23	26	]	]	PUNCT
ejpam-6152	23	27	,	,	PUNCT
ejpam-6152	23	28	and	and	CCONJ
ejpam-6152	23	29	its	its	PRON
ejpam-6152	23	30	impact	impact	NOUN
ejpam-6152	23	31	on	on	ADP
ejpam-6152	23	32	public	public	ADJ
ejpam-6152	23	33	health	health	NOUN
ejpam-6152	23	34	[	[	X
ejpam-6152	23	35	15	15	NUM
ejpam-6152	23	36	]	]	PUNCT
ejpam-6152	23	37	.	.	PUNCT
ejpam-6152	24	1	a	a	DET
ejpam-6152	24	2	recent	recent	ADJ
ejpam-6152	24	3	development	development	NOUN
ejpam-6152	24	4	in	in	ADP
ejpam-6152	24	5	fractional	fractional	ADJ
ejpam-6152	24	6	calculus	calculus	NOUN
ejpam-6152	24	7	has	have	AUX
ejpam-6152	24	8	been	be	AUX
ejpam-6152	24	9	its	its	PRON
ejpam-6152	24	10	ability	ability	NOUN
ejpam-6152	24	11	to	to	PART
ejpam-6152	24	12	model	model	VERB
ejpam-6152	24	13	complex	complex	ADJ
ejpam-6152	24	14	systems	system	NOUN
ejpam-6152	24	15	with	with	ADP
ejpam-6152	24	16	arbitrary	arbitrary	ADJ
ejpam-6152	24	17	differentiation	differentiation	NOUN
ejpam-6152	24	18	orders	order	NOUN
ejpam-6152	24	19	.	.	PUNCT
ejpam-6152	25	1	diabetes	diabetes	NOUN
ejpam-6152	25	2	research	research	NOUN
ejpam-6152	25	3	has	have	AUX
ejpam-6152	25	4	benefited	benefit	VERB
ejpam-6152	25	5	from	from	ADP
ejpam-6152	25	6	enhanced	enhance	VERB
ejpam-6152	25	7	modeling	modeling	NOUN
ejpam-6152	25	8	of	of	ADP
ejpam-6152	25	9	glucoseinsulin	glucoseinsulin	PROPN
ejpam-6152	25	10	dynamics	dynamic	NOUN
ejpam-6152	25	11	,	,	PUNCT
ejpam-6152	25	12	as	as	ADV
ejpam-6152	25	13	well	well	ADV
ejpam-6152	25	14	as	as	ADP
ejpam-6152	25	15	complications	complication	NOUN
ejpam-6152	25	16	associated	associate	VERB
ejpam-6152	25	17	with	with	ADP
ejpam-6152	25	18	diabetes	diabetes	NOUN
ejpam-6152	25	19	[	[	X
ejpam-6152	25	20	16	16	NUM
ejpam-6152	25	21	,	,	PUNCT
ejpam-6152	25	22	17	17	NUM
ejpam-6152	25	23	]	]	PUNCT
ejpam-6152	25	24	.	.	PUNCT
ejpam-6152	26	1	in	in	ADP
ejpam-6152	26	2	addition	addition	NOUN
ejpam-6152	26	3	to	to	ADP
ejpam-6152	26	4	the	the	DET
ejpam-6152	26	5	riemann	riemann	PROPN
ejpam-6152	26	6	-	-	PUNCT
ejpam-6152	26	7	liouville	liouville	PROPN
ejpam-6152	26	8	,	,	PUNCT
ejpam-6152	26	9	caputo	caputo	PROPN
ejpam-6152	26	10	,	,	PUNCT
ejpam-6152	26	11	and	and	CCONJ
ejpam-6152	26	12	caputo	caputo	PROPN
ejpam-6152	26	13	-	-	PUNCT
ejpam-6152	26	14	fabrizio	fabrizio	PROPN
ejpam-6152	26	15	(	(	PUNCT
ejpam-6152	26	16	cf	cf	NOUN
ejpam-6152	26	17	)	)	PUNCT
ejpam-6152	26	18	fractional	fractional	ADJ
ejpam-6152	26	19	calculus	calculus	NOUN
ejpam-6152	26	20	operators	operator	NOUN
ejpam-6152	26	21	,	,	PUNCT
ejpam-6152	26	22	atangana	atangana	PROPN
ejpam-6152	26	23	-	-	PUNCT
ejpam-6152	26	24	baleanu	baleanu	PROPN
ejpam-6152	26	25	can	can	AUX
ejpam-6152	26	26	be	be	AUX
ejpam-6152	26	27	used	use	VERB
ejpam-6152	26	28	to	to	PART
ejpam-6152	26	29	capture	capture	VERB
ejpam-6152	26	30	power	power	NOUN
ejpam-6152	26	31	laws	law	NOUN
ejpam-6152	26	32	and	and	CCONJ
ejpam-6152	26	33	exponential	exponential	ADJ
ejpam-6152	26	34	decay	decay	NOUN
ejpam-6152	26	35	[	[	X
ejpam-6152	26	36	18	18	NUM
ejpam-6152	26	37	]	]	PUNCT
ejpam-6152	26	38	.	.	PUNCT
ejpam-6152	27	1	the	the	DET
ejpam-6152	27	2	cf	cf	NOUN
ejpam-6152	27	3	operator	operator	NOUN
ejpam-6152	27	4	,	,	PUNCT
ejpam-6152	27	5	which	which	PRON
ejpam-6152	27	6	has	have	VERB
ejpam-6152	27	7	a	a	DET
ejpam-6152	27	8	nonsingular	nonsingular	ADJ
ejpam-6152	27	9	kernel	kernel	NOUN
ejpam-6152	27	10	,	,	PUNCT
ejpam-6152	27	11	has	have	AUX
ejpam-6152	27	12	successfully	successfully	ADV
ejpam-6152	27	13	been	be	AUX
ejpam-6152	27	14	applied	apply	VERB
ejpam-6152	27	15	to	to	ADP
ejpam-6152	27	16	glucose	glucose	NOUN
ejpam-6152	27	17	-	-	PUNCT
ejpam-6152	27	18	insulin	insulin	NOUN
ejpam-6152	27	19	modeling	modeling	NOUN
ejpam-6152	27	20	,	,	PUNCT
ejpam-6152	27	21	providing	provide	VERB
ejpam-6152	27	22	insights	insight	NOUN
ejpam-6152	27	23	into	into	ADP
ejpam-6152	27	24	memory	memory	NOUN
ejpam-6152	27	25	effects	effect	NOUN
ejpam-6152	27	26	and	and	CCONJ
ejpam-6152	27	27	chaos	chaos	NOUN
ejpam-6152	27	28	within	within	ADP
ejpam-6152	27	29	the	the	DET
ejpam-6152	27	30	system	system	NOUN
ejpam-6152	27	31	[	[	X
ejpam-6152	27	32	19–54	19–54	NUM
ejpam-6152	27	33	]	]	PUNCT
ejpam-6152	27	34	.	.	PUNCT
ejpam-6152	28	1	sadek	sadek	PROPN
ejpam-6152	28	2	et	et	PROPN
ejpam-6152	28	3	al	al	PROPN
ejpam-6152	28	4	.	.	PROPN
ejpam-6152	29	1	(	(	PUNCT
ejpam-6152	29	2	2024	2024	NUM
ejpam-6152	29	3	)	)	PUNCT
ejpam-6152	29	4	introduced	introduce	VERB
ejpam-6152	29	5	novel	novel	ADJ
ejpam-6152	29	6	θ	θ	ADJ
ejpam-6152	29	7	-	-	PUNCT
ejpam-6152	29	8	fractional	fractional	ADJ
ejpam-6152	29	9	operators	operator	NOUN
ejpam-6152	29	10	,	,	PUNCT
ejpam-6152	29	11	expanding	expand	VERB
ejpam-6152	29	12	the	the	DET
ejpam-6152	29	13	framework	framework	NOUN
ejpam-6152	29	14	of	of	ADP
ejpam-6152	29	15	fractional	fractional	ADJ
ejpam-6152	29	16	calculus	calculus	NOUN
ejpam-6152	29	17	and	and	CCONJ
ejpam-6152	29	18	demonstrating	demonstrate	VERB
ejpam-6152	29	19	their	their	PRON
ejpam-6152	29	20	efficiency	efficiency	NOUN
ejpam-6152	29	21	in	in	ADP
ejpam-6152	29	22	optimization	optimization	NOUN
ejpam-6152	29	23	problems	problem	NOUN
ejpam-6152	29	24	using	use	VERB
ejpam-6152	29	25	the	the	DET
ejpam-6152	29	26	galerkin	galerkin	ADJ
ejpam-6152	29	27	-	-	PUNCT
ejpam-6152	29	28	bell	bell	NOUN
ejpam-6152	29	29	method	method	NOUN
ejpam-6152	29	30	[	[	X
ejpam-6152	29	31	55	55	NUM
ejpam-6152	29	32	]	]	PUNCT
ejpam-6152	29	33	.	.	PUNCT
ejpam-6152	30	1	in	in	ADP
ejpam-6152	30	2	[	[	X
ejpam-6152	30	3	56	56	NUM
ejpam-6152	30	4	]	]	PUNCT
ejpam-6152	30	5	,	,	PUNCT
ejpam-6152	30	6	sadek	sadek	PROPN
ejpam-6152	30	7	proposed	propose	VERB
ejpam-6152	30	8	a	a	DET
ejpam-6152	30	9	cotangent	cotangent	NOUN
ejpam-6152	30	10	fractional	fractional	ADJ
ejpam-6152	30	11	derivative	derivative	NOUN
ejpam-6152	30	12	,	,	PUNCT
ejpam-6152	30	13	providing	provide	VERB
ejpam-6152	30	14	an	an	DET
ejpam-6152	30	15	alternative	alternative	ADJ
ejpam-6152	30	16	approach	approach	NOUN
ejpam-6152	30	17	to	to	ADP
ejpam-6152	30	18	solving	solve	VERB
ejpam-6152	30	19	complex	complex	ADJ
ejpam-6152	30	20	differential	differential	ADJ
ejpam-6152	30	21	equations	equation	NOUN
ejpam-6152	30	22	with	with	ADP
ejpam-6152	30	23	applications	application	NOUN
ejpam-6152	30	24	in	in	ADP
ejpam-6152	30	25	fractional	fractional	ADJ
ejpam-6152	30	26	modeling	modeling	NOUN
ejpam-6152	30	27	.	.	PUNCT
ejpam-6152	31	1	in	in	ADP
ejpam-6152	31	2	the	the	DET
ejpam-6152	31	3	context	context	NOUN
ejpam-6152	31	4	of	of	ADP
ejpam-6152	31	5	epidemiology	epidemiology	NOUN
ejpam-6152	31	6	,	,	PUNCT
ejpam-6152	31	7	sadek	sadek	PROPN
ejpam-6152	31	8	et	et	PROPN
ejpam-6152	31	9	al	al	PROPN
ejpam-6152	31	10	.	.	PUNCT
ejpam-6152	32	1	[	[	X
ejpam-6152	32	2	57	57	NUM
ejpam-6152	32	3	]	]	PUNCT
ejpam-6152	32	4	developed	develop	VERB
ejpam-6152	32	5	a	a	DET
ejpam-6152	32	6	fractional	fractional	ADJ
ejpam-6152	32	7	-	-	PUNCT
ejpam-6152	32	8	order	order	NOUN
ejpam-6152	32	9	model	model	NOUN
ejpam-6152	32	10	to	to	PART
ejpam-6152	32	11	predict	predict	VERB
ejpam-6152	32	12	covid-19	covid-19	PROPN
ejpam-6152	32	13	dynamics	dynamic	NOUN
ejpam-6152	32	14	in	in	ADP
ejpam-6152	32	15	morocco	morocco	PROPN
ejpam-6152	32	16	,	,	PUNCT
ejpam-6152	32	17	incorporating	incorporate	VERB
ejpam-6152	32	18	isolation	isolation	NOUN
ejpam-6152	32	19	and	and	CCONJ
ejpam-6152	32	20	vaccination	vaccination	NOUN
ejpam-6152	32	21	strategies	strategy	NOUN
ejpam-6152	32	22	,	,	PUNCT
ejpam-6152	32	23	where	where	SCONJ
ejpam-6152	32	24	the	the	DET
ejpam-6152	32	25	inclusion	inclusion	NOUN
ejpam-6152	32	26	of	of	ADP
ejpam-6152	32	27	memory	memory	NOUN
ejpam-6152	32	28	effects	effect	NOUN
ejpam-6152	32	29	improved	improve	VERB
ejpam-6152	32	30	predictive	predictive	ADJ
ejpam-6152	32	31	accuracy	accuracy	NOUN
ejpam-6152	33	1	[	[	X
ejpam-6152	33	2	58	58	NUM
ejpam-6152	33	3	]	]	PUNCT
ejpam-6152	33	4	.	.	PUNCT
ejpam-6152	34	1	additionally	additionally	ADV
ejpam-6152	34	2	,	,	PUNCT
ejpam-6152	34	3	sadek	sadek	PROPN
ejpam-6152	34	4	et	et	PROPN
ejpam-6152	34	5	al	al	PROPN
ejpam-6152	34	6	.	.	PROPN
ejpam-6152	35	1	(	(	PUNCT
ejpam-6152	35	2	2022	2022	NUM
ejpam-6152	35	3	)	)	PUNCT
ejpam-6152	35	4	applied	apply	VERB
ejpam-6152	35	5	fractional	fractional	ADJ
ejpam-6152	35	6	calculus	calculus	NOUN
ejpam-6152	35	7	to	to	PART
ejpam-6152	35	8	model	model	VERB
ejpam-6152	35	9	the	the	DET
ejpam-6152	35	10	synthesis	synthesis	NOUN
ejpam-6152	35	11	of	of	ADP
ejpam-6152	35	12	tio2	tio2	NOUN
ejpam-6152	35	13	nanopowder	nanopowder	NOUN
ejpam-6152	35	14	via	via	ADP
ejpam-6152	35	15	the	the	DET
ejpam-6152	35	16	sol	sol	NOUN
ejpam-6152	35	17	–	–	PUNCT
ejpam-6152	35	18	gel	gel	NOUN
ejpam-6152	35	19	method	method	NOUN
ejpam-6152	35	20	at	at	ADP
ejpam-6152	35	21	low	low	ADJ
ejpam-6152	35	22	temperatures	temperature	NOUN
ejpam-6152	35	23	,	,	PUNCT
ejpam-6152	35	24	capturing	capture	VERB
ejpam-6152	35	25	the	the	DET
ejpam-6152	35	26	complexities	complexity	NOUN
ejpam-6152	35	27	of	of	ADP
ejpam-6152	35	28	nanopowder	nanopowd	ADJ
ejpam-6152	35	29	formation	formation	NOUN
ejpam-6152	35	30	and	and	CCONJ
ejpam-6152	35	31	improving	improve	VERB
ejpam-6152	35	32	process	process	NOUN
ejpam-6152	35	33	modeling	modeling	NOUN
ejpam-6152	35	34	in	in	ADP
ejpam-6152	35	35	nanotechnology	nanotechnology	NOUN
ejpam-6152	35	36	[	[	X
ejpam-6152	35	37	59	59	NUM
ejpam-6152	35	38	]	]	PUNCT
ejpam-6152	35	39	.	.	PUNCT
ejpam-6152	36	1	these	these	DET
ejpam-6152	36	2	contributions	contribution	NOUN
ejpam-6152	36	3	collectively	collectively	ADV
ejpam-6152	36	4	enhance	enhance	VERB
ejpam-6152	36	5	the	the	DET
ejpam-6152	36	6	theoretical	theoretical	ADJ
ejpam-6152	36	7	and	and	CCONJ
ejpam-6152	36	8	applied	applied	ADJ
ejpam-6152	36	9	aspects	aspect	NOUN
ejpam-6152	36	10	of	of	ADP
ejpam-6152	36	11	fractional	fractional	ADJ
ejpam-6152	36	12	calculus	calculus	NOUN
ejpam-6152	36	13	,	,	PUNCT
ejpam-6152	36	14	demonstrating	demonstrate	VERB
ejpam-6152	36	15	its	its	PRON
ejpam-6152	36	16	versatility	versatility	NOUN
ejpam-6152	36	17	across	across	ADP
ejpam-6152	36	18	diverse	diverse	ADJ
ejpam-6152	36	19	scientific	scientific	ADJ
ejpam-6152	36	20	domains	domain	NOUN
ejpam-6152	36	21	.	.	PUNCT
ejpam-6152	37	1	an	an	DET
ejpam-6152	37	2	exponential	exponential	ADJ
ejpam-6152	37	3	decay	decay	NOUN
ejpam-6152	37	4	function	function	NOUN
ejpam-6152	37	5	is	be	AUX
ejpam-6152	37	6	used	use	VERB
ejpam-6152	37	7	to	to	PART
ejpam-6152	37	8	model	model	VERB
ejpam-6152	37	9	the	the	DET
ejpam-6152	37	10	fractional	fractional	ADJ
ejpam-6152	37	11	differential	differential	NOUN
ejpam-6152	37	12	operator	operator	NOUN
ejpam-6152	37	13	to	to	PART
ejpam-6152	37	14	understand	understand	VERB
ejpam-6152	37	15	how	how	SCONJ
ejpam-6152	37	16	memory	memory	NOUN
ejpam-6152	37	17	impacts	impact	VERB
ejpam-6152	37	18	fractional	fractional	ADJ
ejpam-6152	37	19	glucose	glucose	NOUN
ejpam-6152	37	20	-	-	PUNCT
ejpam-6152	37	21	insulin	insulin	NOUN
ejpam-6152	37	22	regulation	regulation	NOUN
ejpam-6152	37	23	.	.	PUNCT
ejpam-6152	38	1	with	with	ADP
ejpam-6152	38	2	this	this	DET
ejpam-6152	38	3	kernel	kernel	NOUN
ejpam-6152	38	4	,	,	PUNCT
ejpam-6152	38	5	we	we	PRON
ejpam-6152	38	6	can	can	AUX
ejpam-6152	38	7	study	study	VERB
ejpam-6152	38	8	memory	memory	NOUN
ejpam-6152	38	9	effects	effect	NOUN
ejpam-6152	38	10	.	.	PUNCT
ejpam-6152	39	1	using	use	VERB
ejpam-6152	39	2	caputo	caputo	PROPN
ejpam-6152	39	3	-	-	PUNCT
ejpam-6152	39	4	fabrizio	fabrizio	PROPN
ejpam-6152	39	5	fractional	fractional	ADJ
ejpam-6152	39	6	operators	operator	NOUN
ejpam-6152	39	7	to	to	PART
ejpam-6152	39	8	analyze	analyze	VERB
ejpam-6152	39	9	fractional	fractional	ADJ
ejpam-6152	39	10	variable	variable	ADJ
ejpam-6152	39	11	-	-	PUNCT
ejpam-6152	39	12	order	order	NOUN
ejpam-6152	39	13	glucose	glucose	NOUN
ejpam-6152	39	14	-	-	PUNCT
ejpam-6152	39	15	insulin	insulin	NOUN
ejpam-6152	39	16	regulation	regulation	NOUN
ejpam-6152	39	17	,	,	PUNCT
ejpam-6152	39	18	memory	memory	NOUN
ejpam-6152	39	19	effects	effect	NOUN
ejpam-6152	39	20	enhance	enhance	VERB
ejpam-6152	39	21	stability	stability	NOUN
ejpam-6152	39	22	and	and	CCONJ
ejpam-6152	39	23	synchronization	synchronization	NOUN
ejpam-6152	39	24	.	.	PUNCT
ejpam-6152	40	1	it	it	PRON
ejpam-6152	40	2	highlights	highlight	VERB
ejpam-6152	40	3	the	the	DET
ejpam-6152	40	4	potential	potential	NOUN
ejpam-6152	40	5	for	for	ADP
ejpam-6152	40	6	developing	develop	VERB
ejpam-6152	40	7	more	more	ADV
ejpam-6152	40	8	effective	effective	ADJ
ejpam-6152	40	9	diabetes	diabetes	NOUN
ejpam-6152	40	10	control	control	NOUN
ejpam-6152	40	11	strategies	strategy	NOUN
ejpam-6152	40	12	based	base	VERB
ejpam-6152	40	13	on	on	ADP
ejpam-6152	40	14	uniqueness	uniqueness	NOUN
ejpam-6152	40	15	and	and	CCONJ
ejpam-6152	40	16	boundedness	boundedness	NOUN
ejpam-6152	40	17	.	.	PUNCT
ejpam-6152	41	1	we	we	PRON
ejpam-6152	41	2	also	also	ADV
ejpam-6152	41	3	examine	examine	VERB
ejpam-6152	41	4	caputo	caputo	PROPN
ejpam-6152	41	5	-	-	PUNCT
ejpam-6152	41	6	fabrizio	fabrizio	PROPN
ejpam-6152	41	7	fractional	fractional	ADJ
ejpam-6152	41	8	variable	variable	NOUN
ejpam-6152	41	9	-	-	PUNCT
ejpam-6152	41	10	order	order	NOUN
ejpam-6152	41	11	glucose	glucose	NOUN
ejpam-6152	41	12	-	-	PUNCT
ejpam-6152	41	13	insulin	insulin	NOUN
ejpam-6152	41	14	regulation	regulation	NOUN
ejpam-6152	41	15	,	,	PUNCT
ejpam-6152	41	16	demonstrating	demonstrate	VERB
ejpam-6152	41	17	that	that	SCONJ
ejpam-6152	41	18	fractional	fractional	ADJ
ejpam-6152	41	19	chaotic	chaotic	ADJ
ejpam-6152	41	20	systems	system	NOUN
ejpam-6152	41	21	can	can	AUX
ejpam-6152	41	22	be	be	AUX
ejpam-6152	41	23	synchronized	synchronize	VERB
ejpam-6152	41	24	.	.	PUNCT
ejpam-6152	42	1	fixed	fix	VERB
ejpam-6152	42	2	point	point	NOUN
ejpam-6152	42	3	theory	theory	NOUN
ejpam-6152	42	4	is	be	AUX
ejpam-6152	42	5	used	use	VERB
ejpam-6152	42	6	to	to	PART
ejpam-6152	42	7	prove	prove	VERB
ejpam-6152	42	8	uniqueness	uniqueness	NOUN
ejpam-6152	42	9	and	and	CCONJ
ejpam-6152	42	10	boundedness	boundedness	NOUN
ejpam-6152	42	11	of	of	ADP
ejpam-6152	42	12	solutions	solution	NOUN
ejpam-6152	42	13	,	,	PUNCT
ejpam-6152	42	14	and	and	CCONJ
ejpam-6152	42	15	cf	cf	NOUN
ejpam-6152	42	16	fractions	fraction	NOUN
ejpam-6152	42	17	are	be	AUX
ejpam-6152	42	18	used	use	VERB
ejpam-6152	42	19	to	to	PART
ejpam-6152	42	20	analyze	analyze	VERB
ejpam-6152	42	21	hyers	hyers	PROPN
ejpam-6152	42	22	-	-	PUNCT
ejpam-6152	42	23	ulam	ulam	PROPN
ejpam-6152	42	24	stability	stability	NOUN
ejpam-6152	42	25	.	.	PUNCT
ejpam-6152	43	1	sumudu	sumudu	NOUN
ejpam-6152	43	2	transforms	transform	NOUN
ejpam-6152	43	3	are	be	AUX
ejpam-6152	43	4	used	use	VERB
ejpam-6152	43	5	to	to	PART
ejpam-6152	43	6	derive	derive	VERB
ejpam-6152	43	7	infinite	infinite	ADJ
ejpam-6152	43	8	series	series	NOUN
ejpam-6152	43	9	solutions	solution	NOUN
ejpam-6152	43	10	that	that	PRON
ejpam-6152	43	11	demonstrate	demonstrate	VERB
ejpam-6152	43	12	efficiency	efficiency	NOUN
ejpam-6152	43	13	.	.	PUNCT
ejpam-6152	44	1	different	different	ADJ
ejpam-6152	44	2	smooth	smooth	ADJ
ejpam-6152	44	3	functions	function	NOUN
ejpam-6152	44	4	defined	define	VERB
ejpam-6152	44	5	in	in	ADP
ejpam-6152	44	6	(	(	PUNCT
ejpam-6152	44	7	0,1	0,1	NUM
ejpam-6152	44	8	]	]	PUNCT
ejpam-6152	44	9	can	can	AUX
ejpam-6152	44	10	be	be	AUX
ejpam-6152	44	11	used	use	VERB
ejpam-6152	44	12	to	to	PART
ejpam-6152	44	13	simulate	simulate	VERB
ejpam-6152	44	14	fractional	fractional	ADJ
ejpam-6152	44	15	derivatives	derivative	NOUN
ejpam-6152	44	16	.	.	PUNCT
ejpam-6152	45	1	our	our	PRON
ejpam-6152	45	2	novel	novel	ADJ
ejpam-6152	45	3	fractional	fractional	ADJ
ejpam-6152	45	4	-	-	PUNCT
ejpam-6152	45	5	order	order	NOUN
ejpam-6152	45	6	glucose	glucose	NOUN
ejpam-6152	45	7	-	-	PUNCT
ejpam-6152	45	8	insulin	insulin	NOUN
ejpam-6152	45	9	model	model	NOUN
ejpam-6152	45	10	incorporates	incorporate	VERB
ejpam-6152	45	11	memory	memory	NOUN
ejpam-6152	45	12	effects	effect	NOUN
ejpam-6152	45	13	and	and	CCONJ
ejpam-6152	45	14	nonlocal	nonlocal	ADJ
ejpam-6152	45	15	interactions	interaction	NOUN
ejpam-6152	45	16	based	base	VERB
ejpam-6152	45	17	on	on	ADP
ejpam-6152	45	18	the	the	DET
ejpam-6152	45	19	caputo	caputo	PROPN
ejpam-6152	45	20	-	-	PUNCT
ejpam-6152	45	21	fabrizio	fabrizio	PROPN
ejpam-6152	45	22	derivative	derivative	NOUN
ejpam-6152	45	23	.	.	PUNCT
ejpam-6152	46	1	compared	compare	VERB
ejpam-6152	46	2	to	to	ADP
ejpam-6152	46	3	traditional	traditional	ADJ
ejpam-6152	46	4	integer	integer	NOUN
ejpam-6152	46	5	-	-	PUNCT
ejpam-6152	46	6	order	order	NOUN
ejpam-6152	46	7	models	model	NOUN
ejpam-6152	46	8	,	,	PUNCT
ejpam-6152	46	9	this	this	DET
ejpam-6152	46	10	approach	approach	NOUN
ejpam-6152	46	11	offers	offer	VERB
ejpam-6152	46	12	a	a	DET
ejpam-6152	46	13	more	more	ADV
ejpam-6152	46	14	accurate	accurate	ADJ
ejpam-6152	46	15	representation	representation	NOUN
ejpam-6152	46	16	of	of	ADP
ejpam-6152	46	17	physiological	physiological	ADJ
ejpam-6152	46	18	processes	process	NOUN
ejpam-6152	46	19	.	.	PUNCT
ejpam-6152	47	1	using	use	VERB
ejpam-6152	47	2	sumudu	sumudu	NOUN
ejpam-6152	47	3	transforms	transform	VERB
ejpam-6152	47	4	for	for	ADP
ejpam-6152	47	5	solution	solution	NOUN
ejpam-6152	47	6	derivation	derivation	NOUN
ejpam-6152	47	7	enhances	enhance	VERB
ejpam-6152	47	8	computational	computational	ADJ
ejpam-6152	47	9	efficiency	efficiency	NOUN
ejpam-6152	47	10	and	and	CCONJ
ejpam-6152	47	11	reduces	reduce	VERB
ejpam-6152	47	12	numerical	numerical	ADJ
ejpam-6152	47	13	errors	error	NOUN
ejpam-6152	47	14	.	.	PUNCT
ejpam-6152	48	1	based	base	VERB
ejpam-6152	48	2	on	on	ADP
ejpam-6152	48	3	hyers	hyers	PROPN
ejpam-6152	48	4	-	-	PUNCT
ejpam-6152	48	5	ulam	ulam	PROPN
ejpam-6152	48	6	stability	stability	PROPN
ejpam-6152	48	7	analysis	analysis	NOUN
ejpam-6152	48	8	,	,	PUNCT
ejpam-6152	48	9	our	our	PRON
ejpam-6152	48	10	model	model	NOUN
ejpam-6152	48	11	s.	s.	PROPN
ejpam-6152	48	12	saber	saber	PROPN
ejpam-6152	48	13	et	et	PROPN
ejpam-6152	48	14	al	al	PROPN
ejpam-6152	48	15	.	.	PUNCT
ejpam-6152	48	16	/	/	SYM
ejpam-6152	48	17	eur	eur	PROPN
ejpam-6152	48	18	.	.	PUNCT
ejpam-6152	49	1	j.	j.	PROPN
ejpam-6152	49	2	pure	pure	PROPN
ejpam-6152	49	3	appl	appl	PROPN
ejpam-6152	49	4	.	.	PROPN
ejpam-6152	49	5	math	math	PROPN
ejpam-6152	49	6	,	,	PUNCT
ejpam-6152	49	7	18	18	NUM
ejpam-6152	49	8	(	(	PUNCT
ejpam-6152	49	9	2	2	NUM
ejpam-6152	49	10	)	)	PUNCT
ejpam-6152	49	11	(	(	PUNCT
ejpam-6152	49	12	2025	2025	NUM
ejpam-6152	49	13	)	)	PUNCT
ejpam-6152	49	14	,	,	PUNCT
ejpam-6152	49	15	6152	6152	NUM
ejpam-6152	49	16	3	3	NUM
ejpam-6152	49	17	of	of	ADP
ejpam-6152	49	18	24	24	NUM
ejpam-6152	49	19	is	be	AUX
ejpam-6152	49	20	robust	robust	ADJ
ejpam-6152	49	21	against	against	ADP
ejpam-6152	49	22	perturbations	perturbation	NOUN
ejpam-6152	49	23	,	,	PUNCT
ejpam-6152	49	24	while	while	SCONJ
ejpam-6152	49	25	a	a	DET
ejpam-6152	49	26	newly	newly	ADV
ejpam-6152	49	27	developed	develop	VERB
ejpam-6152	49	28	linear	linear	PROPN
ejpam-6152	49	29	control	control	NOUN
ejpam-6152	49	30	strategy	strategy	NOUN
ejpam-6152	49	31	effectively	effectively	ADV
ejpam-6152	49	32	regulates	regulate	VERB
ejpam-6152	49	33	glucose	glucose	NOUN
ejpam-6152	49	34	levels	level	NOUN
ejpam-6152	49	35	,	,	PUNCT
ejpam-6152	49	36	with	with	ADP
ejpam-6152	49	37	potential	potential	ADJ
ejpam-6152	49	38	applications	application	NOUN
ejpam-6152	49	39	in	in	ADP
ejpam-6152	49	40	real	real	ADJ
ejpam-6152	49	41	-	-	PUNCT
ejpam-6152	49	42	time	time	NOUN
ejpam-6152	49	43	insulin	insulin	NOUN
ejpam-6152	49	44	delivery	delivery	NOUN
ejpam-6152	49	45	.	.	PUNCT
ejpam-6152	50	1	based	base	VERB
ejpam-6152	50	2	on	on	ADP
ejpam-6152	50	3	the	the	DET
ejpam-6152	50	4	results	result	NOUN
ejpam-6152	50	5	,	,	PUNCT
ejpam-6152	50	6	fractional	fractional	ADJ
ejpam-6152	50	7	-	-	PUNCT
ejpam-6152	50	8	order	order	NOUN
ejpam-6152	50	9	derivatives	derivative	NOUN
ejpam-6152	50	10	provide	provide	VERB
ejpam-6152	50	11	a	a	DET
ejpam-6152	50	12	more	more	ADV
ejpam-6152	50	13	accurate	accurate	ADJ
ejpam-6152	50	14	and	and	CCONJ
ejpam-6152	50	15	stable	stable	ADJ
ejpam-6152	50	16	representation	representation	NOUN
ejpam-6152	50	17	of	of	ADP
ejpam-6152	50	18	glucose	glucose	NOUN
ejpam-6152	50	19	-	-	PUNCT
ejpam-6152	50	20	insulin	insulin	NOUN
ejpam-6152	50	21	fluctuations	fluctuation	NOUN
ejpam-6152	50	22	.	.	PUNCT
ejpam-6152	51	1	moreover	moreover	ADV
ejpam-6152	51	2	,	,	PUNCT
ejpam-6152	51	3	our	our	PRON
ejpam-6152	51	4	model	model	NOUN
ejpam-6152	51	5	simulates	simulate	NOUN
ejpam-6152	51	6	disease	disease	NOUN
ejpam-6152	51	7	progression	progression	NOUN
ejpam-6152	51	8	,	,	PUNCT
ejpam-6152	51	9	optimizes	optimize	VERB
ejpam-6152	51	10	insulin	insulin	NOUN
ejpam-6152	51	11	dosage	dosage	NOUN
ejpam-6152	51	12	for	for	ADP
ejpam-6152	51	13	personalized	personalized	ADJ
ejpam-6152	51	14	treatment	treatment	NOUN
ejpam-6152	51	15	,	,	PUNCT
ejpam-6152	51	16	and	and	CCONJ
ejpam-6152	51	17	stabilizes	stabilize	VERB
ejpam-6152	51	18	extreme	extreme	ADJ
ejpam-6152	51	19	glucose	glucose	NOUN
ejpam-6152	51	20	variations	variation	NOUN
ejpam-6152	51	21	,	,	PUNCT
ejpam-6152	51	22	which	which	PRON
ejpam-6152	51	23	prevents	prevent	VERB
ejpam-6152	51	24	severe	severe	ADJ
ejpam-6152	51	25	complications	complication	NOUN
ejpam-6152	51	26	such	such	ADJ
ejpam-6152	51	27	as	as	ADP
ejpam-6152	51	28	hypoglycemia	hypoglycemia	NOUN
ejpam-6152	51	29	and	and	CCONJ
ejpam-6152	51	30	hyperglycemia	hyperglycemia	NOUN
ejpam-6152	51	31	.	.	PUNCT
ejpam-6152	52	1	in	in	ADP
ejpam-6152	52	2	contrast	contrast	NOUN
ejpam-6152	52	3	to	to	ADP
ejpam-6152	52	4	previous	previous	ADJ
ejpam-6152	52	5	studies	study	NOUN
ejpam-6152	52	6	,	,	PUNCT
ejpam-6152	52	7	our	our	PRON
ejpam-6152	52	8	approach	approach	NOUN
ejpam-6152	52	9	provides	provide	VERB
ejpam-6152	52	10	novel	novel	ADJ
ejpam-6152	52	11	insights	insight	NOUN
ejpam-6152	52	12	into	into	ADP
ejpam-6152	52	13	chaotic	chaotic	ADJ
ejpam-6152	52	14	dynamics	dynamic	NOUN
ejpam-6152	52	15	in	in	ADP
ejpam-6152	52	16	glucose	glucose	NOUN
ejpam-6152	52	17	regulation	regulation	NOUN
ejpam-6152	52	18	,	,	PUNCT
ejpam-6152	52	19	which	which	PRON
ejpam-6152	52	20	contributes	contribute	VERB
ejpam-6152	52	21	to	to	ADP
ejpam-6152	52	22	the	the	DET
ejpam-6152	52	23	efficient	efficient	ADJ
ejpam-6152	52	24	management	management	NOUN
ejpam-6152	52	25	of	of	ADP
ejpam-6152	52	26	diabetes	diabetes	NOUN
ejpam-6152	52	27	.	.	PUNCT
ejpam-6152	53	1	a	a	DET
ejpam-6152	53	2	key	key	ADJ
ejpam-6152	53	3	aspect	aspect	NOUN
ejpam-6152	53	4	of	of	ADP
ejpam-6152	53	5	this	this	DET
ejpam-6152	53	6	paper	paper	NOUN
ejpam-6152	53	7	is	be	AUX
ejpam-6152	53	8	the	the	DET
ejpam-6152	53	9	utilization	utilization	NOUN
ejpam-6152	53	10	of	of	ADP
ejpam-6152	53	11	caputo	caputo	PROPN
ejpam-6152	53	12	-	-	PUNCT
ejpam-6152	53	13	fabrizio	fabrizio	PROPN
ejpam-6152	53	14	-	-	PROPN
ejpam-6152	53	15	caputo	caputo	PROPN
ejpam-6152	53	16	fractional	fractional	ADJ
ejpam-6152	53	17	derivatives	derivative	NOUN
ejpam-6152	53	18	,	,	PUNCT
ejpam-6152	53	19	which	which	PRON
ejpam-6152	53	20	possess	possess	VERB
ejpam-6152	53	21	a	a	DET
ejpam-6152	53	22	non	non	ADJ
ejpam-6152	53	23	-	-	ADJ
ejpam-6152	53	24	singular	singular	ADJ
ejpam-6152	53	25	kernel	kernel	NOUN
ejpam-6152	53	26	,	,	PUNCT
ejpam-6152	53	27	enabling	enable	VERB
ejpam-6152	53	28	an	an	DET
ejpam-6152	53	29	accurate	accurate	ADJ
ejpam-6152	53	30	description	description	NOUN
ejpam-6152	53	31	of	of	ADP
ejpam-6152	53	32	diverse	diverse	ADJ
ejpam-6152	53	33	physiological	physiological	ADJ
ejpam-6152	53	34	processes	process	NOUN
ejpam-6152	53	35	.	.	PUNCT
ejpam-6152	54	1	diabetes	diabetes	NOUN
ejpam-6152	54	2	patients	patient	NOUN
ejpam-6152	54	3	can	can	AUX
ejpam-6152	54	4	analyze	analyze	VERB
ejpam-6152	54	5	glucose	glucose	NOUN
ejpam-6152	54	6	-	-	PUNCT
ejpam-6152	54	7	insulin	insulin	NOUN
ejpam-6152	54	8	interactions	interaction	NOUN
ejpam-6152	54	9	and	and	CCONJ
ejpam-6152	54	10	gain	gain	VERB
ejpam-6152	54	11	insight	insight	NOUN
ejpam-6152	54	12	into	into	ADP
ejpam-6152	54	13	memory	memory	NOUN
ejpam-6152	54	14	and	and	CCONJ
ejpam-6152	54	15	chaotic	chaotic	ADJ
ejpam-6152	54	16	behaviors	behavior	NOUN
ejpam-6152	54	17	with	with	ADP
ejpam-6152	54	18	the	the	DET
ejpam-6152	54	19	cf	cf	NOUN
ejpam-6152	54	20	-	-	PUNCT
ejpam-6152	54	21	based	base	VERB
ejpam-6152	54	22	glucose	glucose	NOUN
ejpam-6152	54	23	-	-	PUNCT
ejpam-6152	54	24	insulin	insulin	NOUN
ejpam-6152	54	25	regulation	regulation	NOUN
ejpam-6152	54	26	model	model	NOUN
ejpam-6152	54	27	.	.	PUNCT
ejpam-6152	55	1	the	the	DET
ejpam-6152	55	2	model	model	NOUN
ejpam-6152	55	3	can	can	AUX
ejpam-6152	55	4	also	also	ADV
ejpam-6152	55	5	be	be	AUX
ejpam-6152	55	6	used	use	VERB
ejpam-6152	55	7	to	to	PART
ejpam-6152	55	8	develop	develop	VERB
ejpam-6152	55	9	advanced	advanced	ADJ
ejpam-6152	55	10	control	control	NOUN
ejpam-6152	55	11	strategies	strategy	NOUN
ejpam-6152	55	12	.	.	PUNCT
ejpam-6152	56	1	the	the	DET
ejpam-6152	56	2	proposed	propose	VERB
ejpam-6152	56	3	model	model	NOUN
ejpam-6152	56	4	outperforms	outperform	VERB
ejpam-6152	56	5	glucose	glucose	NOUN
ejpam-6152	56	6	-	-	PUNCT
ejpam-6152	56	7	insulin	insulin	NOUN
ejpam-6152	56	8	models	model	NOUN
ejpam-6152	56	9	with	with	ADP
ejpam-6152	56	10	integer	integer	NOUN
ejpam-6152	56	11	-	-	PUNCT
ejpam-6152	56	12	order	order	NOUN
ejpam-6152	56	13	derivatives	derivative	NOUN
ejpam-6152	56	14	.	.	PUNCT
ejpam-6152	57	1	real	real	ADJ
ejpam-6152	57	2	-	-	PUNCT
ejpam-6152	57	3	world	world	NOUN
ejpam-6152	57	4	implementation	implementation	NOUN
ejpam-6152	57	5	of	of	ADP
ejpam-6152	57	6	this	this	DET
ejpam-6152	57	7	model	model	NOUN
ejpam-6152	57	8	may	may	AUX
ejpam-6152	57	9	be	be	AUX
ejpam-6152	57	10	challenging	challenge	VERB
ejpam-6152	57	11	due	due	ADJ
ejpam-6152	57	12	to	to	ADP
ejpam-6152	57	13	fractional	fractional	ADJ
ejpam-6152	57	14	derivatives	derivative	NOUN
ejpam-6152	57	15	and	and	CCONJ
ejpam-6152	57	16	variable	variable	ADJ
ejpam-6152	57	17	orders	order	NOUN
ejpam-6152	57	18	.	.	PUNCT
ejpam-6152	58	1	additionally	additionally	ADV
ejpam-6152	58	2	,	,	PUNCT
ejpam-6152	58	3	collecting	collect	VERB
ejpam-6152	58	4	and	and	CCONJ
ejpam-6152	58	5	analyzing	analyze	VERB
ejpam-6152	58	6	physiological	physiological	ADJ
ejpam-6152	58	7	parameters	parameter	NOUN
ejpam-6152	58	8	is	be	AUX
ejpam-6152	58	9	complex	complex	ADJ
ejpam-6152	58	10	.	.	PUNCT
ejpam-6152	59	1	the	the	DET
ejpam-6152	59	2	model	model	NOUN
ejpam-6152	59	3	must	must	AUX
ejpam-6152	59	4	be	be	AUX
ejpam-6152	59	5	validated	validate	VERB
ejpam-6152	59	6	across	across	ADP
ejpam-6152	59	7	diverse	diverse	ADJ
ejpam-6152	59	8	patient	patient	ADJ
ejpam-6152	59	9	populations	population	NOUN
ejpam-6152	59	10	to	to	PART
ejpam-6152	59	11	ensure	ensure	VERB
ejpam-6152	59	12	robustness	robustness	NOUN
ejpam-6152	59	13	and	and	CCONJ
ejpam-6152	59	14	reliability	reliability	NOUN
ejpam-6152	59	15	.	.	PUNCT
ejpam-6152	60	1	the	the	DET
ejpam-6152	60	2	cf	cf	NOUN
ejpam-6152	60	3	fractional	fractional	ADJ
ejpam-6152	60	4	-	-	PUNCT
ejpam-6152	60	5	order	order	NOUN
ejpam-6152	60	6	glucose	glucose	NOUN
ejpam-6152	60	7	-	-	PUNCT
ejpam-6152	60	8	insulin	insulin	NOUN
ejpam-6152	60	9	system	system	NOUN
ejpam-6152	60	10	requires	require	VERB
ejpam-6152	60	11	linear	linear	ADJ
ejpam-6152	60	12	controllers	controller	NOUN
ejpam-6152	60	13	to	to	PART
ejpam-6152	60	14	achieve	achieve	VERB
ejpam-6152	60	15	equilibrium	equilibrium	NOUN
ejpam-6152	60	16	.	.	PUNCT
ejpam-6152	61	1	diabetes	diabetes	NOUN
ejpam-6152	61	2	management	management	NOUN
ejpam-6152	61	3	is	be	AUX
ejpam-6152	61	4	significantly	significantly	ADV
ejpam-6152	61	5	improved	improve	VERB
ejpam-6152	61	6	when	when	SCONJ
ejpam-6152	61	7	blood	blood	NOUN
ejpam-6152	61	8	glucose	glucose	NOUN
ejpam-6152	61	9	levels	level	NOUN
ejpam-6152	61	10	are	be	AUX
ejpam-6152	61	11	controlled	control	VERB
ejpam-6152	61	12	precisely	precisely	ADV
ejpam-6152	61	13	.	.	PUNCT
ejpam-6152	62	1	based	base	VERB
ejpam-6152	62	2	on	on	ADP
ejpam-6152	62	3	real	real	ADJ
ejpam-6152	62	4	-	-	PUNCT
ejpam-6152	62	5	time	time	NOUN
ejpam-6152	62	6	glucose	glucose	NOUN
ejpam-6152	62	7	monitoring	monitoring	NOUN
ejpam-6152	62	8	,	,	PUNCT
ejpam-6152	62	9	advanced	advanced	ADJ
ejpam-6152	62	10	insulin	insulin	NOUN
ejpam-6152	62	11	pumps	pump	NOUN
ejpam-6152	62	12	could	could	AUX
ejpam-6152	62	13	automatically	automatically	ADV
ejpam-6152	62	14	adjust	adjust	VERB
ejpam-6152	62	15	insulin	insulin	NOUN
ejpam-6152	62	16	delivery	delivery	NOUN
ejpam-6152	62	17	.	.	PUNCT
ejpam-6152	63	1	in	in	ADP
ejpam-6152	63	2	addition	addition	NOUN
ejpam-6152	63	3	,	,	PUNCT
ejpam-6152	63	4	patients	patient	NOUN
ejpam-6152	63	5	may	may	AUX
ejpam-6152	63	6	benefit	benefit	VERB
ejpam-6152	63	7	from	from	ADP
ejpam-6152	63	8	personalized	personalize	VERB
ejpam-6152	63	9	treatment	treatment	NOUN
ejpam-6152	63	10	plans	plan	NOUN
ejpam-6152	63	11	that	that	PRON
ejpam-6152	63	12	optimize	optimize	VERB
ejpam-6152	63	13	insulin	insulin	NOUN
ejpam-6152	63	14	dosing	dosing	NOUN
ejpam-6152	63	15	.	.	PUNCT
ejpam-6152	64	1	chaos	chaos	NOUN
ejpam-6152	64	2	control	control	NOUN
ejpam-6152	64	3	and	and	CCONJ
ejpam-6152	64	4	synchronization	synchronization	NOUN
ejpam-6152	64	5	are	be	AUX
ejpam-6152	64	6	influenced	influence	VERB
ejpam-6152	64	7	by	by	ADP
ejpam-6152	64	8	the	the	DET
ejpam-6152	64	9	cf	cf	NOUN
ejpam-6152	64	10	fractional	fractional	ADJ
ejpam-6152	64	11	-	-	PUNCT
ejpam-6152	64	12	order	order	NOUN
ejpam-6152	64	13	framework	framework	NOUN
ejpam-6152	64	14	,	,	PUNCT
ejpam-6152	64	15	where	where	SCONJ
ejpam-6152	64	16	variable	variable	ADJ
ejpam-6152	64	17	orders	order	NOUN
ejpam-6152	64	18	simulate	simulate	VERB
ejpam-6152	64	19	fractional	fractional	ADJ
ejpam-6152	64	20	derivatives	derivative	NOUN
ejpam-6152	64	21	.	.	PUNCT
ejpam-6152	65	1	through	through	ADP
ejpam-6152	65	2	variable	variable	ADJ
ejpam-6152	65	3	orders	order	NOUN
ejpam-6152	65	4	,	,	PUNCT
ejpam-6152	65	5	caputo	caputo	PROPN
ejpam-6152	65	6	-	-	PUNCT
ejpam-6152	65	7	fabrizio	fabrizio	PROPN
ejpam-6152	65	8	fractional	fractional	ADJ
ejpam-6152	65	9	chaotic	chaotic	ADJ
ejpam-6152	65	10	systems	system	NOUN
ejpam-6152	65	11	can	can	AUX
ejpam-6152	65	12	be	be	AUX
ejpam-6152	65	13	synchronized	synchronize	VERB
ejpam-6152	65	14	.	.	PUNCT
ejpam-6152	66	1	furthermore	furthermore	ADV
ejpam-6152	66	2	,	,	PUNCT
ejpam-6152	66	3	variable	variable	ADJ
ejpam-6152	66	4	orders	order	NOUN
ejpam-6152	66	5	allow	allow	VERB
ejpam-6152	66	6	for	for	ADP
ejpam-6152	66	7	fine	fine	ADV
ejpam-6152	66	8	-	-	PUNCT
ejpam-6152	66	9	tuning	tune	VERB
ejpam-6152	66	10	fractional	fractional	ADJ
ejpam-6152	66	11	derivatives	derivative	NOUN
ejpam-6152	66	12	’	'	PUNCT
ejpam-6152	66	13	chaotic	chaotic	ADJ
ejpam-6152	66	14	behavior	behavior	NOUN
ejpam-6152	66	15	.	.	PUNCT
ejpam-6152	67	1	compared	compare	VERB
ejpam-6152	67	2	to	to	ADP
ejpam-6152	67	3	conventional	conventional	ADJ
ejpam-6152	67	4	integer	integer	NOUN
ejpam-6152	67	5	-	-	PUNCT
ejpam-6152	67	6	order	order	NOUN
ejpam-6152	67	7	derivatives	derivative	NOUN
ejpam-6152	67	8	,	,	PUNCT
ejpam-6152	67	9	the	the	DET
ejpam-6152	67	10	proposed	propose	VERB
ejpam-6152	67	11	model	model	NOUN
ejpam-6152	67	12	demonstrates	demonstrate	VERB
ejpam-6152	67	13	superior	superior	ADJ
ejpam-6152	67	14	glucose	glucose	NOUN
ejpam-6152	67	15	-	-	PUNCT
ejpam-6152	67	16	insulin	insulin	NOUN
ejpam-6152	67	17	regulation	regulation	NOUN
ejpam-6152	67	18	performance	performance	NOUN
ejpam-6152	67	19	,	,	PUNCT
ejpam-6152	67	20	showing	show	VERB
ejpam-6152	67	21	its	its	PRON
ejpam-6152	67	22	potential	potential	NOUN
ejpam-6152	67	23	for	for	ADP
ejpam-6152	67	24	real	real	ADJ
ejpam-6152	67	25	-	-	PUNCT
ejpam-6152	67	26	world	world	NOUN
ejpam-6152	67	27	application	application	NOUN
ejpam-6152	67	28	.	.	PUNCT
ejpam-6152	68	1	2	2	X
ejpam-6152	68	2	.	.	X
ejpam-6152	68	3	glucose	glucose	NOUN
ejpam-6152	68	4	-	-	PUNCT
ejpam-6152	68	5	insulin	insulin	NOUN
ejpam-6152	68	6	model	model	NOUN
ejpam-6152	68	7	in	in	ADP
ejpam-6152	68	8	1939	1939	NUM
ejpam-6152	68	9	,	,	PUNCT
ejpam-6152	68	10	himsworth	himsworth	NOUN
ejpam-6152	68	11	and	and	CCONJ
ejpam-6152	68	12	ker	ker	PROPN
ejpam-6152	68	13	introduced	introduce	VERB
ejpam-6152	68	14	in	in	ADP
ejpam-6152	68	15	vivo	vivo	ADJ
ejpam-6152	68	16	measurement	measurement	NOUN
ejpam-6152	68	17	of	of	ADP
ejpam-6152	68	18	insulin	insulin	NOUN
ejpam-6152	68	19	sensitivity	sensitivity	NOUN
ejpam-6152	68	20	using	use	VERB
ejpam-6152	68	21	experimental	experimental	ADJ
ejpam-6152	68	22	methods	method	NOUN
ejpam-6152	68	23	,	,	PUNCT
ejpam-6152	68	24	which	which	PRON
ejpam-6152	68	25	revolutionized	revolutionize	VERB
ejpam-6152	68	26	the	the	DET
ejpam-6152	68	27	modeling	modeling	NOUN
ejpam-6152	68	28	of	of	ADP
ejpam-6152	68	29	glucose	glucose	NOUN
ejpam-6152	68	30	-	-	PUNCT
ejpam-6152	68	31	insulin	insulin	NOUN
ejpam-6152	68	32	dynamics	dynamic	NOUN
ejpam-6152	68	33	[	[	X
ejpam-6152	68	34	60	60	NUM
ejpam-6152	68	35	]	]	PUNCT
ejpam-6152	68	36	.	.	PUNCT
ejpam-6152	69	1	in	in	ADP
ejpam-6152	69	2	various	various	ADJ
ejpam-6152	69	3	physiological	physiological	ADJ
ejpam-6152	69	4	contexts	contexts	NOUN
ejpam-6152	69	5	,	,	PUNCT
ejpam-6152	69	6	mathematical	mathematical	ADJ
ejpam-6152	69	7	models	model	NOUN
ejpam-6152	69	8	have	have	AUX
ejpam-6152	69	9	been	be	AUX
ejpam-6152	69	10	developed	develop	VERB
ejpam-6152	69	11	to	to	PART
ejpam-6152	69	12	estimate	estimate	VERB
ejpam-6152	69	13	glucose	glucose	NOUN
ejpam-6152	69	14	disappearance	disappearance	NOUN
ejpam-6152	69	15	and	and	CCONJ
ejpam-6152	69	16	insulin	insulin	NOUN
ejpam-6152	69	17	-	-	PUNCT
ejpam-6152	69	18	glucose	glucose	NOUN
ejpam-6152	69	19	dynamics	dynamic	NOUN
ejpam-6152	69	20	.	.	PUNCT
ejpam-6152	70	1	one	one	NUM
ejpam-6152	70	2	of	of	ADP
ejpam-6152	70	3	the	the	DET
ejpam-6152	70	4	pioneers	pioneer	NOUN
ejpam-6152	70	5	in	in	ADP
ejpam-6152	70	6	this	this	DET
ejpam-6152	70	7	field	field	NOUN
ejpam-6152	70	8	was	be	AUX
ejpam-6152	70	9	bolie	bolie	NOUN
ejpam-6152	70	10	,	,	PUNCT
ejpam-6152	70	11	who	who	PRON
ejpam-6152	70	12	presented	present	VERB
ejpam-6152	70	13	a	a	DET
ejpam-6152	70	14	simple	simple	ADJ
ejpam-6152	70	15	mathematical	mathematical	ADJ
ejpam-6152	70	16	model	model	NOUN
ejpam-6152	70	17	in	in	ADP
ejpam-6152	70	18	1961	1961	NUM
ejpam-6152	70	19	[	[	X
ejpam-6152	70	20	61	61	NUM
ejpam-6152	70	21	]	]	PUNCT
ejpam-6152	70	22	.	.	PUNCT
ejpam-6152	71	1	model	model	NOUN
ejpam-6152	71	2	based	base	VERB
ejpam-6152	71	3	on	on	ADP
ejpam-6152	71	4	ordinary	ordinary	ADJ
ejpam-6152	71	5	differential	differential	ADJ
ejpam-6152	71	6	equations	equation	NOUN
ejpam-6152	71	7	(	(	PUNCT
ejpam-6152	71	8	odes	ode	NOUN
ejpam-6152	71	9	):	):	PUNCT
ejpam-6152	71	10	dǔ	dǔ	NOUN
ejpam-6152	71	11	dt	dt	NOUN
ejpam-6152	71	12	=	=	SYM
ejpam-6152	71	13	−b1ǔ−	−b1ǔ−	PROPN
ejpam-6152	72	1	b2v̌	b2v̌	PROPN
ejpam-6152	72	2	+	+	CCONJ
ejpam-6152	72	3	d1	d1	PROPN
ejpam-6152	72	4	,	,	PUNCT
ejpam-6152	72	5	dv̌	dv̌	NOUN
ejpam-6152	72	6	dt	dt	NOUN
ejpam-6152	72	7	=	=	SYM
ejpam-6152	72	8	−b3ǔ−	−b3ǔ−	PROPN
ejpam-6152	72	9	b4v̌	b4v̌	PROPN
ejpam-6152	72	10	,	,	PUNCT
ejpam-6152	72	11	s.	s.	PROPN
ejpam-6152	72	12	saber	saber	PROPN
ejpam-6152	72	13	et	et	PROPN
ejpam-6152	72	14	al	al	PROPN
ejpam-6152	72	15	.	.	PUNCT
ejpam-6152	72	16	/	/	SYM
ejpam-6152	72	17	eur	eur	PROPN
ejpam-6152	72	18	.	.	PUNCT
ejpam-6152	73	1	j.	j.	PROPN
ejpam-6152	73	2	pure	pure	PROPN
ejpam-6152	73	3	appl	appl	PROPN
ejpam-6152	73	4	.	.	PROPN
ejpam-6152	73	5	math	math	PROPN
ejpam-6152	73	6	,	,	PUNCT
ejpam-6152	73	7	18	18	NUM
ejpam-6152	73	8	(	(	PUNCT
ejpam-6152	73	9	2	2	NUM
ejpam-6152	73	10	)	)	PUNCT
ejpam-6152	73	11	(	(	PUNCT
ejpam-6152	73	12	2025	2025	NUM
ejpam-6152	73	13	)	)	PUNCT
ejpam-6152	73	14	,	,	PUNCT
ejpam-6152	73	15	6152	6152	NUM
ejpam-6152	73	16	4	4	NUM
ejpam-6152	73	17	of	of	ADP
ejpam-6152	73	18	24	24	NUM
ejpam-6152	73	19	where	where	SCONJ
ejpam-6152	73	20	ǔ(t	ǔ(t	NOUN
ejpam-6152	73	21	)	)	PUNCT
ejpam-6152	73	22	represents	represent	VERB
ejpam-6152	73	23	the	the	DET
ejpam-6152	73	24	glucose	glucose	NOUN
ejpam-6152	73	25	concentration	concentration	NOUN
ejpam-6152	73	26	,	,	PUNCT
ejpam-6152	73	27	v̌(t	v̌(t	NOUN
ejpam-6152	73	28	)	)	PUNCT
ejpam-6152	73	29	represents	represent	VERB
ejpam-6152	73	30	the	the	DET
ejpam-6152	73	31	insulin	insulin	NOUN
ejpam-6152	73	32	concentration	concentration	NOUN
ejpam-6152	73	33	,	,	PUNCT
ejpam-6152	73	34	and	and	CCONJ
ejpam-6152	73	35	d1	d1	PROPN
ejpam-6152	73	36	,	,	PUNCT
ejpam-6152	73	37	b1	b1	NOUN
ejpam-6152	73	38	,	,	PUNCT
ejpam-6152	73	39	b2	b2	NOUN
ejpam-6152	73	40	,	,	PUNCT
ejpam-6152	73	41	b3	b3	PROPN
ejpam-6152	73	42	,	,	PUNCT
ejpam-6152	73	43	b4	b4	NOUN
ejpam-6152	73	44	are	be	AUX
ejpam-6152	73	45	model	model	NOUN
ejpam-6152	73	46	parameters	parameter	NOUN
ejpam-6152	73	47	.	.	PUNCT
ejpam-6152	74	1	a	a	DET
ejpam-6152	74	2	well	well	ADV
ejpam-6152	74	3	-	-	PUNCT
ejpam-6152	74	4	known	know	VERB
ejpam-6152	74	5	minimal	minimal	ADJ
ejpam-6152	74	6	model	model	NOUN
ejpam-6152	74	7	for	for	ADP
ejpam-6152	74	8	glucose	glucose	NOUN
ejpam-6152	74	9	-	-	PUNCT
ejpam-6152	74	10	insulin	insulin	NOUN
ejpam-6152	74	11	dynamics	dynamic	NOUN
ejpam-6152	74	12	was	be	AUX
ejpam-6152	74	13	proposed	propose	VERB
ejpam-6152	74	14	by	by	ADP
ejpam-6152	74	15	bergman	bergman	PROPN
ejpam-6152	74	16	and	and	CCONJ
ejpam-6152	74	17	cobelli	cobelli	PROPN
ejpam-6152	74	18	in	in	ADP
ejpam-6152	74	19	the	the	DET
ejpam-6152	74	20	mid-1980s	mid-1980	NOUN
ejpam-6152	74	21	,	,	PUNCT
ejpam-6152	74	22	focusing	focus	VERB
ejpam-6152	74	23	on	on	ADP
ejpam-6152	74	24	insulin	insulin	NOUN
ejpam-6152	74	25	sensitivity	sensitivity	NOUN
ejpam-6152	74	26	[	[	X
ejpam-6152	74	27	62	62	NUM
ejpam-6152	74	28	]	]	PUNCT
ejpam-6152	74	29	.	.	PUNCT
ejpam-6152	75	1	this	this	DET
ejpam-6152	75	2	model	model	NOUN
ejpam-6152	75	3	has	have	AUX
ejpam-6152	75	4	been	be	AUX
ejpam-6152	75	5	instrumental	instrumental	ADJ
ejpam-6152	75	6	in	in	ADP
ejpam-6152	75	7	advancing	advance	VERB
ejpam-6152	75	8	our	our	PRON
ejpam-6152	75	9	understanding	understanding	NOUN
ejpam-6152	75	10	of	of	ADP
ejpam-6152	75	11	glucose	glucose	NOUN
ejpam-6152	75	12	-	-	PUNCT
ejpam-6152	75	13	insulin	insulin	NOUN
ejpam-6152	75	14	interactions	interaction	NOUN
ejpam-6152	75	15	and	and	CCONJ
ejpam-6152	75	16	can	can	AUX
ejpam-6152	75	17	be	be	AUX
ejpam-6152	75	18	expressed	express	VERB
ejpam-6152	75	19	as	as	SCONJ
ejpam-6152	75	20	follows	follow	VERB
ejpam-6152	75	21	:	:	PUNCT
ejpam-6152	75	22	dǔ(t	dǔ(t	NOUN
ejpam-6152	75	23	)	)	PUNCT
ejpam-6152	75	24	dt	dt	NOUN
ejpam-6152	76	1	=	=	SYM
ejpam-6152	76	2	−(q1	−(q1	NUM
ejpam-6152	76	3	+	+	NUM
ejpam-6152	76	4	w̌(t))ǔ(t	w̌(t))ǔ(t	NOUN
ejpam-6152	76	5	)	)	PUNCT
ejpam-6152	77	1	+	+	CCONJ
ejpam-6152	77	2	q1ǔb	q1ǔb	PROPN
ejpam-6152	77	3	,	,	PUNCT
ejpam-6152	77	4	ǔ(0	ǔ(0	ADJ
ejpam-6152	77	5	)	)	PUNCT
ejpam-6152	77	6	=	=	SYM
ejpam-6152	77	7	ǔ0	ǔ0	NOUN
ejpam-6152	77	8	,	,	PUNCT
ejpam-6152	77	9	dw̌(t	dw̌(t	NOUN
ejpam-6152	77	10	)	)	PUNCT
ejpam-6152	77	11	dt	dt	NOUN
ejpam-6152	78	1	=	=	SYM
ejpam-6152	78	2	−q2w̌(t	−q2w̌(t	PROPN
ejpam-6152	78	3	)	)	PUNCT
ejpam-6152	79	1	+	+	NUM
ejpam-6152	79	2	q3(v̌(t)−	q3(v̌(t)−	NOUN
ejpam-6152	79	3	v̌b	v̌b	NOUN
ejpam-6152	79	4	)	)	PUNCT
ejpam-6152	79	5	,	,	PUNCT
ejpam-6152	79	6	w̌(0	w̌(0	X
ejpam-6152	79	7	)	)	PUNCT
ejpam-6152	79	8	=	=	SYM
ejpam-6152	79	9	0	0	NUM
ejpam-6152	79	10	,	,	PUNCT
ejpam-6152	79	11	dv̌(t	dv̌(t	NOUN
ejpam-6152	79	12	)	)	PUNCT
ejpam-6152	79	13	dt	dt	PROPN
ejpam-6152	80	1	=	=	SYM
ejpam-6152	80	2	q4(ǔ(t)−	q4(ǔ(t)−	PROPN
ejpam-6152	80	3	q5	q5	PROPN
ejpam-6152	80	4	)	)	PUNCT
ejpam-6152	81	1	+	+	NUM
ejpam-6152	81	2	−	−	PROPN
ejpam-6152	81	3	q6(v̌(t)−	q6(v̌(t)−	NOUN
ejpam-6152	81	4	v̌b	v̌b	NOUN
ejpam-6152	81	5	)	)	PUNCT
ejpam-6152	81	6	,	,	PUNCT
ejpam-6152	81	7	v̌(0	v̌(0	PROPN
ejpam-6152	81	8	)	)	PUNCT
ejpam-6152	81	9	=	=	SYM
ejpam-6152	81	10	v̌0	v̌0	PROPN
ejpam-6152	81	11	+	+	CCONJ
ejpam-6152	81	12	v̌b	v̌b	PROPN
ejpam-6152	81	13	,	,	PUNCT
ejpam-6152	81	14	where	where	SCONJ
ejpam-6152	81	15	ǔ(t	ǔ(t	NOUN
ejpam-6152	81	16	)	)	PUNCT
ejpam-6152	81	17	is	be	AUX
ejpam-6152	81	18	the	the	DET
ejpam-6152	81	19	glucose	glucose	NOUN
ejpam-6152	81	20	concentration	concentration	NOUN
ejpam-6152	81	21	,	,	PUNCT
ejpam-6152	81	22	w̌(t	w̌(t	NOUN
ejpam-6152	81	23	)	)	PUNCT
ejpam-6152	81	24	is	be	AUX
ejpam-6152	81	25	an	an	DET
ejpam-6152	81	26	auxiliary	auxiliary	ADJ
ejpam-6152	81	27	variable	variable	NOUN
ejpam-6152	81	28	representing	represent	VERB
ejpam-6152	81	29	the	the	DET
ejpam-6152	81	30	activity	activity	NOUN
ejpam-6152	81	31	of	of	ADP
ejpam-6152	81	32	insulin	insulin	NOUN
ejpam-6152	81	33	-	-	PUNCT
ejpam-6152	81	34	sensitive	sensitive	ADJ
ejpam-6152	81	35	tissues	tissue	NOUN
ejpam-6152	81	36	,	,	PUNCT
ejpam-6152	81	37	and	and	CCONJ
ejpam-6152	81	38	v̌(t	v̌(t	NOUN
ejpam-6152	81	39	)	)	PUNCT
ejpam-6152	81	40	is	be	AUX
ejpam-6152	81	41	the	the	DET
ejpam-6152	81	42	insulin	insulin	NOUN
ejpam-6152	81	43	concentration	concentration	NOUN
ejpam-6152	81	44	.	.	PUNCT
ejpam-6152	82	1	the	the	DET
ejpam-6152	82	2	symbol	symbol	NOUN
ejpam-6152	82	3	(	(	PUNCT
ejpam-6152	82	4	ǔ(t)−	ǔ(t)−	PROPN
ejpam-6152	82	5	q5	q5	PROPN
ejpam-6152	82	6	)	)	PUNCT
ejpam-6152	82	7	+	+	CCONJ
ejpam-6152	82	8	represents	represent	VERB
ejpam-6152	82	9	the	the	DET
ejpam-6152	82	10	positive	positive	ADJ
ejpam-6152	82	11	part	part	NOUN
ejpam-6152	82	12	of	of	ADP
ejpam-6152	82	13	ǔ(t)−	ǔ(t)−	PROPN
ejpam-6152	82	14	q5	q5	PROPN
ejpam-6152	82	15	,	,	PUNCT
ejpam-6152	82	16	and	and	CCONJ
ejpam-6152	82	17	the	the	DET
ejpam-6152	82	18	parameters	parameter	NOUN
ejpam-6152	82	19	q1	q1	PROPN
ejpam-6152	82	20	,	,	PUNCT
ejpam-6152	82	21	q2	q2	NOUN
ejpam-6152	82	22	,	,	PUNCT
ejpam-6152	82	23	.	.	PUNCT
ejpam-6152	82	24	.	.	PUNCT
ejpam-6152	83	1	.	.	PUNCT
ejpam-6152	84	1	,	,	PUNCT
ejpam-6152	84	2	q6	q6	PROPN
ejpam-6152	84	3	are	be	AUX
ejpam-6152	84	4	model	model	ADJ
ejpam-6152	84	5	-	-	PUNCT
ejpam-6152	84	6	specific	specific	ADJ
ejpam-6152	84	7	constants	constant	NOUN
ejpam-6152	84	8	.	.	PUNCT
ejpam-6152	85	1	the	the	DET
ejpam-6152	85	2	minimal	minimal	ADJ
ejpam-6152	85	3	model	model	NOUN
ejpam-6152	85	4	has	have	AUX
ejpam-6152	85	5	been	be	AUX
ejpam-6152	85	6	extensively	extensively	ADV
ejpam-6152	85	7	used	use	VERB
ejpam-6152	85	8	to	to	PART
ejpam-6152	85	9	describe	describe	VERB
ejpam-6152	85	10	glucose	glucose	NOUN
ejpam-6152	85	11	tolerance	tolerance	NOUN
ejpam-6152	85	12	tests	test	NOUN
ejpam-6152	85	13	(	(	PUNCT
ejpam-6152	85	14	ogtts	ogtts	ADJ
ejpam-6152	85	15	)	)	PUNCT
ejpam-6152	85	16	and	and	CCONJ
ejpam-6152	85	17	meal	meal	NOUN
ejpam-6152	85	18	tests	test	NOUN
ejpam-6152	85	19	[	[	X
ejpam-6152	85	20	63	63	NUM
ejpam-6152	85	21	]	]	PUNCT
ejpam-6152	85	22	.	.	PUNCT
ejpam-6152	86	1	with	with	ADP
ejpam-6152	86	2	this	this	DET
ejpam-6152	86	3	method	method	NOUN
ejpam-6152	86	4	,	,	PUNCT
ejpam-6152	86	5	insulin	insulin	NOUN
ejpam-6152	86	6	sensitivity	sensitivity	NOUN
ejpam-6152	86	7	can	can	AUX
ejpam-6152	86	8	be	be	AUX
ejpam-6152	86	9	estimated	estimate	VERB
ejpam-6152	86	10	without	without	ADP
ejpam-6152	86	11	a	a	DET
ejpam-6152	86	12	glucose	glucose	NOUN
ejpam-6152	86	13	clamp	clamp	NOUN
ejpam-6152	86	14	experiment	experiment	NOUN
ejpam-6152	86	15	sx	sx	PROPN
ejpam-6152	86	16	=	=	PUNCT
ejpam-6152	86	17	q3	q3	PROPN
ejpam-6152	86	18	q2	q2	PROPN
ejpam-6152	86	19	.	.	PUNCT
ejpam-6152	87	1	physical	physical	ADJ
ejpam-6152	87	2	exercise	exercise	NOUN
ejpam-6152	87	3	affects	affect	VERB
ejpam-6152	87	4	glucose	glucose	NOUN
ejpam-6152	87	5	-	-	PUNCT
ejpam-6152	87	6	insulin	insulin	NOUN
ejpam-6152	87	7	dynamics	dynamic	NOUN
ejpam-6152	87	8	according	accord	VERB
ejpam-6152	87	9	to	to	ADP
ejpam-6152	87	10	derouich	derouich	PROPN
ejpam-6152	87	11	and	and	CCONJ
ejpam-6152	87	12	boutayeb	boutayeb	ADJ
ejpam-6152	87	13	[	[	X
ejpam-6152	87	14	64	64	NUM
ejpam-6152	87	15	]	]	PUNCT
ejpam-6152	87	16	.	.	PUNCT
ejpam-6152	88	1	physical	physical	ADJ
ejpam-6152	88	2	activity	activity	NOUN
ejpam-6152	88	3	is	be	AUX
ejpam-6152	88	4	included	include	VERB
ejpam-6152	88	5	in	in	ADP
ejpam-6152	88	6	their	their	PRON
ejpam-6152	88	7	model	model	NOUN
ejpam-6152	88	8	as	as	SCONJ
ejpam-6152	88	9	follows	follow	VERB
ejpam-6152	88	10	:	:	PUNCT
ejpam-6152	88	11	dǔ(t	dǔ(t	NOUN
ejpam-6152	88	12	)	)	PUNCT
ejpam-6152	88	13	dt	dt	NOUN
ejpam-6152	89	1	=	=	PUNCT
ejpam-6152	89	2	−(1	−(1	NOUN
ejpam-6152	89	3	+	+	NUM
ejpam-6152	89	4	r2)v̌(t)ǔ(t	r2)v̌(t)ǔ(t	NOUN
ejpam-6152	89	5	)	)	PUNCT
ejpam-6152	90	1	+	+	CCONJ
ejpam-6152	90	2	(	(	PUNCT
ejpam-6152	90	3	q1	q1	PROPN
ejpam-6152	90	4	+	+	CCONJ
ejpam-6152	90	5	r1)(ǔb	r1)(ǔb	PROPN
ejpam-6152	90	6	−	−	PROPN
ejpam-6152	90	7	ǔ(t	ǔ(t	NOUN
ejpam-6152	90	8	)	)	PUNCT
ejpam-6152	90	9	)	)	PUNCT
ejpam-6152	91	1	,	,	PUNCT
ejpam-6152	91	2	dv̌(t	dv̌(t	NOUN
ejpam-6152	91	3	)	)	PUNCT
ejpam-6152	91	4	dt	dt	X
ejpam-6152	92	1	=	=	SYM
ejpam-6152	92	2	−q2v̌(t	−q2v̌(t	PROPN
ejpam-6152	92	3	)	)	PUNCT
ejpam-6152	93	1	+	+	CCONJ
ejpam-6152	93	2	(	(	PUNCT
ejpam-6152	93	3	q3	q3	PROPN
ejpam-6152	93	4	+	+	PROPN
ejpam-6152	93	5	r3)(v̌(t)−	r3)(v̌(t)−	PROPN
ejpam-6152	93	6	v̌b	v̌b	PROPN
ejpam-6152	93	7	)	)	PUNCT
ejpam-6152	93	8	,	,	PUNCT
ejpam-6152	93	9	where	where	SCONJ
ejpam-6152	93	10	r1	r1	PROPN
ejpam-6152	93	11	,	,	PUNCT
ejpam-6152	93	12	r2	r2	PROPN
ejpam-6152	93	13	,	,	PUNCT
ejpam-6152	93	14	r3	r3	PROPN
ejpam-6152	93	15	represent	represent	VERB
ejpam-6152	93	16	parameters	parameter	NOUN
ejpam-6152	93	17	related	relate	VERB
ejpam-6152	93	18	to	to	ADP
ejpam-6152	93	19	physical	physical	ADJ
ejpam-6152	93	20	exercise	exercise	NOUN
ejpam-6152	93	21	,	,	PUNCT
ejpam-6152	93	22	which	which	PRON
ejpam-6152	93	23	accelerates	accelerate	VERB
ejpam-6152	93	24	glucose	glucose	NOUN
ejpam-6152	93	25	utilization	utilization	NOUN
ejpam-6152	93	26	by	by	ADP
ejpam-6152	93	27	muscles	muscle	NOUN
ejpam-6152	93	28	,	,	PUNCT
ejpam-6152	93	29	increases	increase	VERB
ejpam-6152	93	30	insulin	insulin	NOUN
ejpam-6152	93	31	sensitivity	sensitivity	NOUN
ejpam-6152	93	32	,	,	PUNCT
ejpam-6152	93	33	and	and	CCONJ
ejpam-6152	93	34	improves	improve	VERB
ejpam-6152	93	35	glucose	glucose	NOUN
ejpam-6152	93	36	disposal	disposal	NOUN
ejpam-6152	93	37	.	.	PUNCT
ejpam-6152	94	1	other	other	ADJ
ejpam-6152	94	2	models	model	NOUN
ejpam-6152	94	3	,	,	PUNCT
ejpam-6152	94	4	such	such	ADJ
ejpam-6152	94	5	as	as	ADP
ejpam-6152	94	6	those	those	PRON
ejpam-6152	94	7	developed	develop	VERB
ejpam-6152	94	8	by	by	ADP
ejpam-6152	94	9	gaetano	gaetano	NOUN
ejpam-6152	94	10	and	and	CCONJ
ejpam-6152	94	11	arino	arino	NOUN
ejpam-6152	95	1	[	[	X
ejpam-6152	95	2	65	65	NUM
ejpam-6152	95	3	]	]	PUNCT
ejpam-6152	95	4	,	,	PUNCT
ejpam-6152	95	5	utilize	utilize	VERB
ejpam-6152	95	6	delay	delay	NOUN
ejpam-6152	95	7	differential	differential	ADJ
ejpam-6152	95	8	equations	equation	NOUN
ejpam-6152	95	9	(	(	PUNCT
ejpam-6152	95	10	ddes	ddes	PROPN
ejpam-6152	95	11	)	)	PUNCT
ejpam-6152	95	12	to	to	PART
ejpam-6152	95	13	capture	capture	VERB
ejpam-6152	95	14	more	more	ADV
ejpam-6152	95	15	complex	complex	ADJ
ejpam-6152	95	16	glucose	glucose	NOUN
ejpam-6152	95	17	-	-	PUNCT
ejpam-6152	95	18	insulin	insulin	NOUN
ejpam-6152	95	19	interactions	interaction	NOUN
ejpam-6152	95	20	.	.	PUNCT
ejpam-6152	96	1	the	the	DET
ejpam-6152	96	2	dynamical	dynamical	ADJ
ejpam-6152	96	3	delay	delay	NOUN
ejpam-6152	96	4	differential	differential	NOUN
ejpam-6152	96	5	model	model	NOUN
ejpam-6152	96	6	is	be	AUX
ejpam-6152	96	7	given	give	VERB
ejpam-6152	96	8	by	by	ADP
ejpam-6152	96	9	:	:	PUNCT
ejpam-6152	96	10	dǔ(t	dǔ(t	NOUN
ejpam-6152	96	11	)	)	PUNCT
ejpam-6152	96	12	dt	dt	PUNCT
ejpam-6152	97	1	=	=	SYM
ejpam-6152	97	2	−c1ǔ(t)−	−c1ǔ(t)−	PROPN
ejpam-6152	97	3	c4v̌(t)ǔ(t	c4v̌(t)ǔ(t	NOUN
ejpam-6152	97	4	)	)	PUNCT
ejpam-6152	98	1	+	+	CCONJ
ejpam-6152	98	2	c7	c7	PROPN
ejpam-6152	98	3	,	,	PUNCT
ejpam-6152	98	4	ǔ(0	ǔ(0	ADJ
ejpam-6152	98	5	)	)	PUNCT
ejpam-6152	99	1	=	=	SYM
ejpam-6152	99	2	ǔb	ǔb	PROPN
ejpam-6152	99	3	+	+	CCONJ
ejpam-6152	99	4	c0	c0	PROPN
ejpam-6152	99	5	,	,	PUNCT
ejpam-6152	99	6	dv̌(t	dv̌(t	NOUN
ejpam-6152	99	7	)	)	PUNCT
ejpam-6152	99	8	dt	dt	X
ejpam-6152	99	9	=	=	SYM
ejpam-6152	99	10	−c2v̌(t	−c2v̌(t	PROPN
ejpam-6152	99	11	)	)	PUNCT
ejpam-6152	100	1	+	+	CCONJ
ejpam-6152	100	2	c6	c6	PROPN
ejpam-6152	100	3	c5	c5	PROPN
ejpam-6152	100	4	∫	∫	PROPN
ejpam-6152	100	5	t	t	PROPN
ejpam-6152	100	6	t−c5	t−c5	PROPN
ejpam-6152	100	7	g(s)ds	g(s)ds	PROPN
ejpam-6152	100	8	,	,	PUNCT
ejpam-6152	100	9	v̌(0	v̌(0	ADJ
ejpam-6152	100	10	)	)	PUNCT
ejpam-6152	101	1	=	=	SYM
ejpam-6152	101	2	v̌b	v̌b	PROPN
ejpam-6152	101	3	+	+	CCONJ
ejpam-6152	101	4	c3c0	c3c0	NOUN
ejpam-6152	101	5	,	,	PUNCT
ejpam-6152	101	6	with	with	ADP
ejpam-6152	101	7	ǔ(t	ǔ(t	NOUN
ejpam-6152	101	8	)	)	PUNCT
ejpam-6152	101	9	=	=	SYM
ejpam-6152	101	10	ǔb	ǔb	PROPN
ejpam-6152	101	11	for	for	ADP
ejpam-6152	101	12	−c5	−c5	NOUN
ejpam-6152	101	13	≤	≤	PROPN
ejpam-6152	101	14	t	t	PROPN
ejpam-6152	101	15	<	<	X
ejpam-6152	101	16	0	0	NUM
ejpam-6152	101	17	.	.	PUNCT
ejpam-6152	102	1	there	there	PRON
ejpam-6152	102	2	has	have	AUX
ejpam-6152	102	3	been	be	AUX
ejpam-6152	102	4	an	an	DET
ejpam-6152	102	5	increase	increase	NOUN
ejpam-6152	102	6	in	in	ADP
ejpam-6152	102	7	complexity	complexity	NOUN
ejpam-6152	102	8	in	in	ADP
ejpam-6152	102	9	the	the	DET
ejpam-6152	102	10	field	field	NOUN
ejpam-6152	102	11	of	of	ADP
ejpam-6152	102	12	glucose	glucose	NOUN
ejpam-6152	102	13	-	-	PUNCT
ejpam-6152	102	14	insulin	insulin	NOUN
ejpam-6152	102	15	modeling	modeling	NOUN
ejpam-6152	102	16	as	as	ADP
ejpam-6152	102	17	a	a	DET
ejpam-6152	102	18	result	result	NOUN
ejpam-6152	102	19	of	of	ADP
ejpam-6152	102	20	the	the	DET
ejpam-6152	102	21	exploration	exploration	NOUN
ejpam-6152	102	22	of	of	ADP
ejpam-6152	102	23	fractional	fractional	ADJ
ejpam-6152	102	24	-	-	PUNCT
ejpam-6152	102	25	order	order	NOUN
ejpam-6152	102	26	systems	system	NOUN
ejpam-6152	102	27	.	.	PUNCT
ejpam-6152	103	1	in	in	ADP
ejpam-6152	103	2	[	[	X
ejpam-6152	103	3	66	66	NUM
ejpam-6152	103	4	]	]	PUNCT
ejpam-6152	103	5	,	,	PUNCT
ejpam-6152	103	6	shabestari	shabestari	PROPN
ejpam-6152	103	7	et	et	PROPN
ejpam-6152	103	8	al	al	PROPN
ejpam-6152	103	9	.	.	PROPN
ejpam-6152	103	10	proposed	propose	VERB
ejpam-6152	103	11	a	a	DET
ejpam-6152	103	12	model	model	NOUN
ejpam-6152	103	13	based	base	VERB
ejpam-6152	103	14	on	on	ADP
ejpam-6152	103	15	the	the	DET
ejpam-6152	103	16	lotka	lotka	PROPN
ejpam-6152	103	17	-	-	PUNCT
ejpam-6152	103	18	volterra	volterra	NOUN
ejpam-6152	103	19	framework	framework	NOUN
ejpam-6152	104	1	[	[	X
ejpam-6152	104	2	67	67	NUM
ejpam-6152	104	3	]	]	PUNCT
ejpam-6152	104	4	,	,	PUNCT
ejpam-6152	104	5	incorporating	incorporate	VERB
ejpam-6152	104	6	fractional	fractional	ADJ
ejpam-6152	104	7	dynamics	dynamic	NOUN
ejpam-6152	104	8	to	to	PART
ejpam-6152	104	9	analyze	analyze	VERB
ejpam-6152	104	10	the	the	DET
ejpam-6152	104	11	glucose	glucose	NOUN
ejpam-6152	104	12	-	-	PUNCT
ejpam-6152	104	13	insulin	insulin	NOUN
ejpam-6152	104	14	relationship	relationship	NOUN
ejpam-6152	104	15	.	.	PUNCT
ejpam-6152	105	1	the	the	DET
ejpam-6152	105	2	s.	s.	PROPN
ejpam-6152	105	3	saber	saber	PROPN
ejpam-6152	105	4	et	et	PROPN
ejpam-6152	105	5	al	al	PROPN
ejpam-6152	105	6	.	.	PUNCT
ejpam-6152	105	7	/	/	SYM
ejpam-6152	105	8	eur	eur	PROPN
ejpam-6152	105	9	.	.	PUNCT
ejpam-6152	106	1	j.	j.	PROPN
ejpam-6152	106	2	pure	pure	PROPN
ejpam-6152	106	3	appl	appl	PROPN
ejpam-6152	106	4	.	.	PROPN
ejpam-6152	106	5	math	math	PROPN
ejpam-6152	106	6	,	,	PUNCT
ejpam-6152	106	7	18	18	NUM
ejpam-6152	106	8	(	(	PUNCT
ejpam-6152	106	9	2	2	NUM
ejpam-6152	106	10	)	)	PUNCT
ejpam-6152	106	11	(	(	PUNCT
ejpam-6152	106	12	2025	2025	NUM
ejpam-6152	106	13	)	)	PUNCT
ejpam-6152	106	14	,	,	PUNCT
ejpam-6152	106	15	6152	6152	NUM
ejpam-6152	106	16	5	5	NUM
ejpam-6152	106	17	of	of	ADP
ejpam-6152	106	18	24	24	NUM
ejpam-6152	106	19	fractional	fractional	ADJ
ejpam-6152	106	20	model	model	NOUN
ejpam-6152	106	21	is	be	AUX
ejpam-6152	106	22	as	as	SCONJ
ejpam-6152	106	23	follows	follow	VERB
ejpam-6152	106	24	:	:	PUNCT
ejpam-6152	106	25	˙̌u	˙̌u	PROPN
ejpam-6152	106	26	=	=	PUNCT
ejpam-6152	107	1	−b1ǔ+	−b1ǔ+	PROPN
ejpam-6152	107	2	b2ǔv̌	b2ǔv̌	PROPN
ejpam-6152	108	1	+	+	CCONJ
ejpam-6152	108	2	b3v̌	b3v̌	PROPN
ejpam-6152	108	3	2	2	NUM
ejpam-6152	108	4	+	+	CCONJ
ejpam-6152	108	5	b4v̌	b4v̌	PROPN
ejpam-6152	108	6	3	3	NUM
ejpam-6152	108	7	+	+	CCONJ
ejpam-6152	108	8	b5w̌	b5w̌	PROPN
ejpam-6152	108	9	+	+	CCONJ
ejpam-6152	108	10	b6w̌	b6w̌	PROPN
ejpam-6152	108	11	2	2	NUM
ejpam-6152	108	12	+	+	NUM
ejpam-6152	108	13	b7w̌	b7w̌	PROPN
ejpam-6152	108	14	3	3	NUM
ejpam-6152	108	15	+	+	CCONJ
ejpam-6152	108	16	b20	b20	NOUN
ejpam-6152	108	17	,	,	PUNCT
ejpam-6152	108	18	˙̌v	˙̌v	ADJ
ejpam-6152	109	1	=	=	SYM
ejpam-6152	109	2	−b8ǔv̌	−b8ǔv̌	PROPN
ejpam-6152	109	3	−	−	PROPN
ejpam-6152	110	1	b9ǔ	b9ǔ	PROPN
ejpam-6152	110	2	2	2	NUM
ejpam-6152	110	3	−	−	PROPN
ejpam-6152	110	4	b10ǔ	b10ǔ	NOUN
ejpam-6152	110	5	3	3	NUM
ejpam-6152	110	6	+	+	CCONJ
ejpam-6152	110	7	b11v̌(1−	b11v̌(1−	NOUN
ejpam-6152	110	8	v̌)−	v̌)−	X
ejpam-6152	110	9	b12w̌	b12w̌	NOUN
ejpam-6152	110	10	−	−	NOUN
ejpam-6152	110	11	b13w̌	b13w̌	NOUN
ejpam-6152	110	12	2	2	NUM
ejpam-6152	110	13	−	−	PROPN
ejpam-6152	110	14	b14w̌	b14w̌	NOUN
ejpam-6152	110	15	3	3	NUM
ejpam-6152	110	16	+	+	SYM
ejpam-6152	110	17	b21	b21	PROPN
ejpam-6152	110	18	,	,	PUNCT
ejpam-6152	110	19	˙̌w	˙̌w	PROPN
ejpam-6152	110	20	=	=	PUNCT
ejpam-6152	111	1	b15v̌	b15v̌	PROPN
ejpam-6152	111	2	+	+	CCONJ
ejpam-6152	111	3	b16v̌	b16v̌	NOUN
ejpam-6152	111	4	2	2	NUM
ejpam-6152	111	5	+	+	SYM
ejpam-6152	111	6	b17v̌	b17v̌	ADJ
ejpam-6152	111	7	3	3	NUM
ejpam-6152	111	8	−	−	NOUN
ejpam-6152	111	9	b18w̌	b18w̌	NOUN
ejpam-6152	112	1	−	−	PROPN
ejpam-6152	112	2	b19v̌w̌.	b19v̌w̌.	PROPN
ejpam-6152	112	3	with	with	ADP
ejpam-6152	112	4	the	the	DET
ejpam-6152	112	5	initial	initial	ADJ
ejpam-6152	112	6	conditions	condition	NOUN
ejpam-6152	112	7	:	:	PUNCT
ejpam-6152	112	8	ǔ(0	ǔ(0	X
ejpam-6152	112	9	)	)	PUNCT
ejpam-6152	112	10	=	=	SYM
ejpam-6152	112	11	ǔ0	ǔ0	NOUN
ejpam-6152	112	12	,	,	PUNCT
ejpam-6152	112	13	v̌(0	v̌(0	ADJ
ejpam-6152	112	14	)	)	PUNCT
ejpam-6152	112	15	=	=	SYM
ejpam-6152	112	16	v̌0	v̌0	PROPN
ejpam-6152	112	17	,	,	PUNCT
ejpam-6152	112	18	w̌(0	w̌(0	X
ejpam-6152	112	19	)	)	PUNCT
ejpam-6152	112	20	=	=	SYM
ejpam-6152	112	21	w̌0	w̌0	X
ejpam-6152	112	22	.	.	PUNCT
ejpam-6152	113	1	here	here	ADV
ejpam-6152	113	2	:	:	PUNCT
ejpam-6152	113	3	ǔ	ǔ	PRON
ejpam-6152	113	4	represents	represent	VERB
ejpam-6152	113	5	glucose	glucose	NOUN
ejpam-6152	113	6	concentration	concentration	NOUN
ejpam-6152	113	7	,	,	PUNCT
ejpam-6152	113	8	v̌	v̌	NOUN
ejpam-6152	113	9	represents	represent	VERB
ejpam-6152	113	10	insulin	insulin	NOUN
ejpam-6152	113	11	concentration	concentration	NOUN
ejpam-6152	113	12	,	,	PUNCT
ejpam-6152	113	13	and	and	CCONJ
ejpam-6152	113	14	w̌	w̌	PUNCT
ejpam-6152	113	15	represents	represent	VERB
ejpam-6152	113	16	the	the	DET
ejpam-6152	113	17	population	population	NOUN
ejpam-6152	113	18	density	density	NOUN
ejpam-6152	113	19	of	of	ADP
ejpam-6152	113	20	β	β	NOUN
ejpam-6152	113	21	-	-	NOUN
ejpam-6152	113	22	cells	cell	NOUN
ejpam-6152	113	23	.	.	PUNCT
ejpam-6152	114	1	the	the	DET
ejpam-6152	114	2	parameters	parameter	NOUN
ejpam-6152	114	3	bi	bi	VERB
ejpam-6152	114	4	for	for	ADP
ejpam-6152	114	5	i	i	PROPN
ejpam-6152	114	6	=	=	NOUN
ejpam-6152	114	7	1	1	NUM
ejpam-6152	114	8	,	,	PUNCT
ejpam-6152	114	9	2	2	NUM
ejpam-6152	114	10	,	,	PUNCT
ejpam-6152	114	11	.	.	PUNCT
ejpam-6152	114	12	.	.	PUNCT
ejpam-6152	115	1	.	.	PUNCT
ejpam-6152	116	1	,	,	PUNCT
ejpam-6152	116	2	21	21	NUM
ejpam-6152	116	3	,	,	PUNCT
ejpam-6152	116	4	describe	describe	VERB
ejpam-6152	116	5	various	various	ADJ
ejpam-6152	116	6	interaction	interaction	NOUN
ejpam-6152	116	7	rates	rate	NOUN
ejpam-6152	116	8	which	which	PRON
ejpam-6152	116	9	can	can	AUX
ejpam-6152	116	10	be	be	AUX
ejpam-6152	116	11	defined	define	VERB
ejpam-6152	116	12	in	in	ADP
ejpam-6152	116	13	table	table	NOUN
ejpam-6152	116	14	1	1	NUM
ejpam-6152	116	15	.	.	PUNCT
ejpam-6152	116	16	glucose	glucose	NOUN
ejpam-6152	116	17	-	-	PUNCT
ejpam-6152	116	18	insulin	insulin	NOUN
ejpam-6152	116	19	regulatory	regulatory	ADJ
ejpam-6152	116	20	system	system	NOUN
ejpam-6152	116	21	expressed	express	VERB
ejpam-6152	116	22	as	as	ADP
ejpam-6152	116	23	caputo	caputo	PROPN
ejpam-6152	116	24	derivative	derivative	NOUN
ejpam-6152	116	25	through	through	ADP
ejpam-6152	116	26	fractional	fractional	ADJ
ejpam-6152	116	27	calculus	calculus	NOUN
ejpam-6152	116	28	:	:	PUNCT
ejpam-6152	116	29	cd	cd	PROPN
ejpam-6152	116	30	α̌(t	α̌(t	PROPN
ejpam-6152	116	31	)	)	PUNCT
ejpam-6152	116	32	t	t	NOUN
ejpam-6152	116	33	ǔ	ǔ	NOUN
ejpam-6152	116	34	=	=	SYM
ejpam-6152	116	35	−d1	−d1	NOUN
ejpam-6152	116	36	ǔ+	ǔ+	PROPN
ejpam-6152	116	37	d2	d2	PROPN
ejpam-6152	116	38	ǔv̌	ǔv̌	PROPN
ejpam-6152	117	1	+	+	PROPN
ejpam-6152	117	2	d3	d3	PROPN
ejpam-6152	117	3	v̌	v̌	X
ejpam-6152	117	4	2	2	NUM
ejpam-6152	117	5	+	+	CCONJ
ejpam-6152	117	6	d4	d4	PROPN
ejpam-6152	117	7	v̌	v̌	NOUN
ejpam-6152	117	8	3	3	NUM
ejpam-6152	117	9	+	+	NUM
ejpam-6152	117	10	d5	d5	NOUN
ejpam-6152	117	11	w̌	w̌	NOUN
ejpam-6152	117	12	+	+	CCONJ
ejpam-6152	117	13	d6	d6	NOUN
ejpam-6152	117	14	w̌	w̌	X
ejpam-6152	117	15	2	2	NUM
ejpam-6152	117	16	+	+	CCONJ
ejpam-6152	117	17	d7	d7	PROPN
ejpam-6152	117	18	w̌	w̌	X
ejpam-6152	117	19	3	3	NUM
ejpam-6152	117	20	+	+	CCONJ
ejpam-6152	117	21	d20	d20	ADJ
ejpam-6152	117	22	,	,	PUNCT
ejpam-6152	117	23	cd	cd	NOUN
ejpam-6152	117	24	α̌(t	α̌(t	NOUN
ejpam-6152	117	25	)	)	PUNCT
ejpam-6152	117	26	t	t	NOUN
ejpam-6152	117	27	v̌	v̌	X
ejpam-6152	117	28	=	=	PUNCT
ejpam-6152	117	29	−d8	−d8	PROPN
ejpam-6152	117	30	ǔv̌	ǔv̌	PROPN
ejpam-6152	117	31	−	−	PROPN
ejpam-6152	117	32	d9	d9	PROPN
ejpam-6152	117	33	ǔ	ǔ	PROPN
ejpam-6152	117	34	2	2	NUM
ejpam-6152	117	35	−	−	PROPN
ejpam-6152	117	36	d10	d10	PROPN
ejpam-6152	117	37	ǔ	ǔ	PROPN
ejpam-6152	117	38	3	3	NUM
ejpam-6152	117	39	+	+	CCONJ
ejpam-6152	117	40	d11	d11	PROPN
ejpam-6152	117	41	v̌(1−	v̌(1−	PROPN
ejpam-6152	117	42	v̌)−	v̌)−	X
ejpam-6152	117	43	d12	d12	X
ejpam-6152	117	44	w̌	w̌	X
ejpam-6152	117	45	−	−	NOUN
ejpam-6152	117	46	d13	d13	NOUN
ejpam-6152	117	47	w̌	w̌	NOUN
ejpam-6152	117	48	2	2	NUM
ejpam-6152	117	49	−	−	NOUN
ejpam-6152	117	50	d14	d14	NOUN
ejpam-6152	117	51	w̌	w̌	PUNCT
ejpam-6152	117	52	3	3	NUM
ejpam-6152	117	53	+	+	X
ejpam-6152	117	54	d21	d21	NOUN
ejpam-6152	117	55	,	,	PUNCT
ejpam-6152	117	56	cd	cd	PROPN
ejpam-6152	117	57	α̌(t	α̌(t	PROPN
ejpam-6152	117	58	)	)	PUNCT
ejpam-6152	117	59	t	t	NOUN
ejpam-6152	118	1	w̌	w̌	NOUN
ejpam-6152	118	2	=	=	SYM
ejpam-6152	118	3	d15	d15	X
ejpam-6152	118	4	v̌	v̌	NOUN
ejpam-6152	118	5	+	+	CCONJ
ejpam-6152	118	6	d16	d16	ADJ
ejpam-6152	118	7	v̌	v̌	NOUN
ejpam-6152	118	8	2	2	NUM
ejpam-6152	118	9	+	+	NUM
ejpam-6152	118	10	d17	d17	NOUN
ejpam-6152	118	11	v̌	v̌	ADP
ejpam-6152	118	12	3	3	NUM
ejpam-6152	118	13	−	−	NOUN
ejpam-6152	118	14	d18	d18	NOUN
ejpam-6152	118	15	w̌	w̌	NOUN
ejpam-6152	118	16	−	−	PROPN
ejpam-6152	118	17	d19	d19	PROPN
ejpam-6152	118	18	v̌w̌	v̌w̌	PROPN
ejpam-6152	118	19	,	,	PUNCT
ejpam-6152	118	20	where	where	SCONJ
ejpam-6152	118	21	all	all	DET
ejpam-6152	118	22	parameter	parameter	NOUN
ejpam-6152	118	23	di	di	NOUN
ejpam-6152	118	24	,	,	PUNCT
ejpam-6152	118	25	i	i	NOUN
ejpam-6152	118	26	=	=	NOUN
ejpam-6152	118	27	1	1	NUM
ejpam-6152	118	28	,	,	PUNCT
ejpam-6152	118	29	2	2	NUM
ejpam-6152	118	30	,	,	PUNCT
ejpam-6152	118	31	...	...	PUNCT
ejpam-6152	118	32	,	,	PUNCT
ejpam-6152	118	33	21	21	NUM
ejpam-6152	118	34	are	be	AUX
ejpam-6152	118	35	descriped	descripe	VERB
ejpam-6152	118	36	in	in	ADP
ejpam-6152	118	37	table	table	NOUN
ejpam-6152	118	38	1	1	NUM
ejpam-6152	118	39	.	.	PUNCT
ejpam-6152	118	40	cf	cf	NOUN
ejpam-6152	118	41	fractional	fractional	ADJ
ejpam-6152	118	42	operators	operator	NOUN
ejpam-6152	118	43	have	have	AUX
ejpam-6152	118	44	been	be	AUX
ejpam-6152	118	45	applied	apply	VERB
ejpam-6152	118	46	to	to	ADP
ejpam-6152	118	47	model	model	NOUN
ejpam-6152	118	48	glucose	glucose	NOUN
ejpam-6152	118	49	-	-	PUNCT
ejpam-6152	118	50	insulin	insulin	NOUN
ejpam-6152	118	51	dynamics	dynamic	NOUN
ejpam-6152	118	52	,	,	PUNCT
ejpam-6152	118	53	offering	offer	VERB
ejpam-6152	118	54	new	new	ADJ
ejpam-6152	118	55	insights	insight	NOUN
ejpam-6152	118	56	into	into	ADP
ejpam-6152	118	57	the	the	DET
ejpam-6152	118	58	system	system	NOUN
ejpam-6152	118	59	’s	’s	PART
ejpam-6152	118	60	chaotic	chaotic	ADJ
ejpam-6152	118	61	behavior	behavior	NOUN
ejpam-6152	118	62	.	.	PUNCT
ejpam-6152	119	1	models	model	NOUN
ejpam-6152	119	2	of	of	ADP
ejpam-6152	119	3	this	this	DET
ejpam-6152	119	4	type	type	NOUN
ejpam-6152	119	5	can	can	AUX
ejpam-6152	119	6	be	be	AUX
ejpam-6152	119	7	expressed	express	VERB
ejpam-6152	119	8	as	as	SCONJ
ejpam-6152	119	9	follows	follow	VERB
ejpam-6152	119	10	:	:	PUNCT
ejpam-6152	120	1	cfd	cfd	NOUN
ejpam-6152	120	2	α̌	α̌	X
ejpam-6152	120	3	0,tǔ	0,tǔ	NUM
ejpam-6152	120	4	=	=	SYM
ejpam-6152	120	5	−d1	−d1	NOUN
ejpam-6152	120	6	ǔ+	ǔ+	PROPN
ejpam-6152	120	7	d2	d2	PROPN
ejpam-6152	120	8	ǔv̌	ǔv̌	PROPN
ejpam-6152	120	9	+	+	PROPN
ejpam-6152	120	10	d3	d3	PROPN
ejpam-6152	120	11	v̌	v̌	X
ejpam-6152	120	12	2	2	NUM
ejpam-6152	120	13	+	+	CCONJ
ejpam-6152	120	14	d4	d4	PROPN
ejpam-6152	120	15	v̌	v̌	NOUN
ejpam-6152	120	16	3	3	NUM
ejpam-6152	120	17	+	+	NUM
ejpam-6152	120	18	d5	d5	NOUN
ejpam-6152	120	19	w̌	w̌	NOUN
ejpam-6152	120	20	+	+	CCONJ
ejpam-6152	120	21	d6	d6	NOUN
ejpam-6152	120	22	w̌	w̌	X
ejpam-6152	120	23	2	2	NUM
ejpam-6152	120	24	+	+	CCONJ
ejpam-6152	120	25	d7	d7	PROPN
ejpam-6152	120	26	w̌	w̌	X
ejpam-6152	120	27	3	3	NUM
ejpam-6152	120	28	+	+	CCONJ
ejpam-6152	120	29	d20	d20	ADJ
ejpam-6152	120	30	,	,	PUNCT
ejpam-6152	120	31	cfd	cfd	NOUN
ejpam-6152	120	32	α̌	α̌	NUM
ejpam-6152	120	33	0,tv̌	0,tv̌	NOUN
ejpam-6152	120	34	=	=	PUNCT
ejpam-6152	120	35	−d8	−d8	PROPN
ejpam-6152	120	36	ǔv̌	ǔv̌	PROPN
ejpam-6152	120	37	−	−	PROPN
ejpam-6152	120	38	d9	d9	PROPN
ejpam-6152	120	39	ǔ	ǔ	PROPN
ejpam-6152	120	40	2	2	NUM
ejpam-6152	120	41	−	−	PROPN
ejpam-6152	120	42	d10	d10	PROPN
ejpam-6152	120	43	ǔ	ǔ	PROPN
ejpam-6152	120	44	3	3	NUM
ejpam-6152	120	45	+	+	CCONJ
ejpam-6152	120	46	d11	d11	PROPN
ejpam-6152	120	47	v̌(1−	v̌(1−	PROPN
ejpam-6152	120	48	v̌)−	v̌)−	X
ejpam-6152	120	49	d12	d12	X
ejpam-6152	121	1	w̌	w̌	X
ejpam-6152	121	2	−	−	NOUN
ejpam-6152	121	3	d13	d13	NOUN
ejpam-6152	121	4	w̌	w̌	NOUN
ejpam-6152	121	5	2	2	NUM
ejpam-6152	121	6	−	−	NOUN
ejpam-6152	121	7	d14	d14	NOUN
ejpam-6152	121	8	w̌	w̌	PUNCT
ejpam-6152	121	9	3	3	NUM
ejpam-6152	121	10	+	+	X
ejpam-6152	121	11	d21	d21	NOUN
ejpam-6152	121	12	,	,	PUNCT
ejpam-6152	121	13	cfd	cfd	NOUN
ejpam-6152	121	14	α̌	α̌	X
ejpam-6152	121	15	0,tw̌	0,tw̌	NOUN
ejpam-6152	122	1	=	=	PUNCT
ejpam-6152	122	2	d15	d15	ADJ
ejpam-6152	122	3	v̌	v̌	NOUN
ejpam-6152	122	4	+	+	CCONJ
ejpam-6152	122	5	d16	d16	ADJ
ejpam-6152	122	6	v̌	v̌	NOUN
ejpam-6152	122	7	2	2	NUM
ejpam-6152	122	8	+	+	NUM
ejpam-6152	122	9	d17	d17	NOUN
ejpam-6152	122	10	v̌	v̌	ADP
ejpam-6152	122	11	3	3	NUM
ejpam-6152	122	12	−	−	NOUN
ejpam-6152	122	13	d18	d18	NOUN
ejpam-6152	122	14	w̌	w̌	NOUN
ejpam-6152	122	15	−	−	PROPN
ejpam-6152	122	16	d19	d19	PROPN
ejpam-6152	122	17	v̌w̌.	v̌w̌.	PROPN
ejpam-6152	122	18	(	(	PUNCT
ejpam-6152	122	19	1	1	X
ejpam-6152	122	20	)	)	PUNCT
ejpam-6152	122	21	the	the	DET
ejpam-6152	122	22	control	control	NOUN
ejpam-6152	122	23	fractional	fractional	ADJ
ejpam-6152	122	24	order	order	NOUN
ejpam-6152	122	25	of	of	ADP
ejpam-6152	122	26	time	time	NOUN
ejpam-6152	122	27	-	-	PUNCT
ejpam-6152	122	28	varying	vary	VERB
ejpam-6152	122	29	glucose	glucose	NOUN
ejpam-6152	122	30	-	-	PUNCT
ejpam-6152	122	31	insulin	insulin	NOUN
ejpam-6152	122	32	regulation	regulation	NOUN
ejpam-6152	122	33	is	be	AUX
ejpam-6152	122	34	cfd	cfd	NOUN
ejpam-6152	122	35	α̌	α̌	X
ejpam-6152	122	36	0,tǔ	0,tǔ	NUM
ejpam-6152	122	37	=	=	SYM
ejpam-6152	122	38	−d1	−d1	NOUN
ejpam-6152	122	39	ǔ+	ǔ+	PROPN
ejpam-6152	122	40	d2	d2	PROPN
ejpam-6152	122	41	ǔv̌	ǔv̌	PROPN
ejpam-6152	122	42	+	+	PROPN
ejpam-6152	122	43	d3	d3	PROPN
ejpam-6152	122	44	v̌	v̌	X
ejpam-6152	122	45	2	2	NUM
ejpam-6152	122	46	+	+	CCONJ
ejpam-6152	122	47	d4	d4	PROPN
ejpam-6152	122	48	v̌	v̌	NOUN
ejpam-6152	122	49	3	3	NUM
ejpam-6152	122	50	+	+	NUM
ejpam-6152	122	51	d5	d5	NOUN
ejpam-6152	122	52	w̌	w̌	NOUN
ejpam-6152	122	53	+	+	CCONJ
ejpam-6152	122	54	d6	d6	NOUN
ejpam-6152	122	55	w̌	w̌	X
ejpam-6152	122	56	2	2	NUM
ejpam-6152	122	57	+	+	CCONJ
ejpam-6152	122	58	d7	d7	PROPN
ejpam-6152	122	59	w̌	w̌	X
ejpam-6152	122	60	3	3	NUM
ejpam-6152	122	61	+	+	CCONJ
ejpam-6152	122	62	d20−c1(ǔ+	d20−c1(ǔ+	X
ejpam-6152	122	63	v̌	v̌	NOUN
ejpam-6152	122	64	)	)	PUNCT
ejpam-6152	122	65	,	,	PUNCT
ejpam-6152	122	66	cfd	cfd	NOUN
ejpam-6152	122	67	α̌	α̌	NUM
ejpam-6152	122	68	0,tv̌	0,tv̌	NOUN
ejpam-6152	122	69	=	=	PUNCT
ejpam-6152	122	70	−d8	−d8	PROPN
ejpam-6152	122	71	ǔv̌	ǔv̌	PROPN
ejpam-6152	122	72	−	−	PROPN
ejpam-6152	122	73	d9	d9	PROPN
ejpam-6152	122	74	ǔ	ǔ	PROPN
ejpam-6152	122	75	2	2	NUM
ejpam-6152	122	76	−	−	PROPN
ejpam-6152	122	77	d10	d10	PROPN
ejpam-6152	122	78	ǔ	ǔ	PROPN
ejpam-6152	122	79	3	3	NUM
ejpam-6152	122	80	+	+	CCONJ
ejpam-6152	122	81	d11	d11	PROPN
ejpam-6152	122	82	v̌(1−	v̌(1−	PROPN
ejpam-6152	122	83	v̌)−	v̌)−	X
ejpam-6152	122	84	d12	d12	X
ejpam-6152	123	1	w̌	w̌	X
ejpam-6152	123	2	−	−	NOUN
ejpam-6152	123	3	d13	d13	NOUN
ejpam-6152	123	4	w̌	w̌	NOUN
ejpam-6152	123	5	2	2	NUM
ejpam-6152	123	6	−	−	NOUN
ejpam-6152	123	7	d14	d14	NOUN
ejpam-6152	123	8	w̌	w̌	PUNCT
ejpam-6152	123	9	3	3	NUM
ejpam-6152	123	10	+	+	X
ejpam-6152	123	11	d21	d21	NOUN
ejpam-6152	123	12	,	,	PUNCT
ejpam-6152	123	13	cfd	cfd	NOUN
ejpam-6152	123	14	α̌	α̌	X
ejpam-6152	123	15	0,tw̌	0,tw̌	NOUN
ejpam-6152	124	1	=	=	PUNCT
ejpam-6152	124	2	d15	d15	ADJ
ejpam-6152	124	3	v̌	v̌	NOUN
ejpam-6152	124	4	+	+	CCONJ
ejpam-6152	124	5	d16	d16	ADJ
ejpam-6152	124	6	v̌	v̌	NOUN
ejpam-6152	124	7	2	2	NUM
ejpam-6152	124	8	+	+	NUM
ejpam-6152	124	9	d17	d17	NOUN
ejpam-6152	124	10	v̌	v̌	ADP
ejpam-6152	124	11	3	3	NUM
ejpam-6152	124	12	−	−	NOUN
ejpam-6152	124	13	d18	d18	NOUN
ejpam-6152	124	14	w̌	w̌	NOUN
ejpam-6152	124	15	−	−	PROPN
ejpam-6152	124	16	d19	d19	PROPN
ejpam-6152	124	17	v̌w̌	v̌w̌	PROPN
ejpam-6152	125	1	−	−	PROPN
ejpam-6152	125	2	c2(ǔ+	c2(ǔ+	PROPN
ejpam-6152	125	3	v̌	v̌	NOUN
ejpam-6152	125	4	)	)	PUNCT
ejpam-6152	125	5	,	,	PUNCT
ejpam-6152	125	6	(	(	PUNCT
ejpam-6152	125	7	2	2	X
ejpam-6152	125	8	)	)	PUNCT
ejpam-6152	125	9	where	where	SCONJ
ejpam-6152	125	10	c1	c1	PROPN
ejpam-6152	125	11	,	,	PUNCT
ejpam-6152	125	12	c2	c2	PROPN
ejpam-6152	125	13	are	be	AUX
ejpam-6152	125	14	positive	positive	ADJ
ejpam-6152	125	15	constants	constant	NOUN
ejpam-6152	125	16	.	.	PUNCT
ejpam-6152	126	1	3	3	X
ejpam-6152	126	2	.	.	X
ejpam-6152	126	3	preliminaries	preliminary	NOUN
ejpam-6152	126	4	this	this	DET
ejpam-6152	126	5	part	part	NOUN
ejpam-6152	126	6	of	of	ADP
ejpam-6152	126	7	the	the	DET
ejpam-6152	126	8	manuscript	manuscript	NOUN
ejpam-6152	126	9	introduces	introduce	VERB
ejpam-6152	126	10	essential	essential	ADJ
ejpam-6152	126	11	concepts	concept	NOUN
ejpam-6152	126	12	and	and	CCONJ
ejpam-6152	126	13	preliminary	preliminary	ADJ
ejpam-6152	126	14	definitions	definition	NOUN
ejpam-6152	126	15	that	that	PRON
ejpam-6152	126	16	are	be	AUX
ejpam-6152	126	17	crucial	crucial	ADJ
ejpam-6152	126	18	for	for	ADP
ejpam-6152	126	19	understanding	understand	VERB
ejpam-6152	126	20	the	the	DET
ejpam-6152	126	21	subsequent	subsequent	ADJ
ejpam-6152	126	22	sections	section	NOUN
ejpam-6152	126	23	.	.	PUNCT
ejpam-6152	127	1	definition	definition	NOUN
ejpam-6152	127	2	1	1	NUM
ejpam-6152	127	3	(	(	PUNCT
ejpam-6152	127	4	[	[	X
ejpam-6152	127	5	68	68	NUM
ejpam-6152	127	6	]	]	PUNCT
ejpam-6152	127	7	)	)	PUNCT
ejpam-6152	127	8	.	.	PUNCT
ejpam-6152	128	1	let	let	VERB
ejpam-6152	128	2	φ	φ	PROPN
ejpam-6152	128	3	∈	∈	PROPN
ejpam-6152	128	4	h1(a	h1(a	PROPN
ejpam-6152	128	5	,	,	PUNCT
ejpam-6152	128	6	b	b	NOUN
ejpam-6152	128	7	)	)	PUNCT
ejpam-6152	128	8	,	,	PUNCT
ejpam-6152	128	9	where	where	SCONJ
ejpam-6152	128	10	b	b	X
ejpam-6152	128	11	>	>	X
ejpam-6152	128	12	a	a	PRON
ejpam-6152	128	13	and	and	CCONJ
ejpam-6152	128	14	α̌	α̌	X
ejpam-6152	128	15	∈	∈	PROPN
ejpam-6152	128	16	(	(	PUNCT
ejpam-6152	128	17	0	0	NUM
ejpam-6152	128	18	,	,	PUNCT
ejpam-6152	128	19	1	1	NUM
ejpam-6152	128	20	)	)	PUNCT
ejpam-6152	128	21	.	.	PUNCT
ejpam-6152	129	1	the	the	DET
ejpam-6152	129	2	cf	cf	NOUN
ejpam-6152	129	3	derivative	derivative	NOUN
ejpam-6152	129	4	is	be	AUX
ejpam-6152	129	5	defined	define	VERB
ejpam-6152	129	6	as	as	SCONJ
ejpam-6152	129	7	follows	follow	VERB
ejpam-6152	129	8	:	:	PUNCT
ejpam-6152	129	9	cfd	cfd	NOUN
ejpam-6152	129	10	α̌	α̌	X
ejpam-6152	129	11	t	t	PROPN
ejpam-6152	129	12	φ(t	φ(t	PROPN
ejpam-6152	129	13	)	)	PUNCT
ejpam-6152	129	14	=	=	SYM
ejpam-6152	129	15	ň(α̌	ň(α̌	NOUN
ejpam-6152	129	16	)	)	PUNCT
ejpam-6152	129	17	1−	1−	NUM
ejpam-6152	129	18	α̌	α̌	NUM
ejpam-6152	129	19	∫	∫	PROPN
ejpam-6152	129	20	t	t	PROPN
ejpam-6152	129	21	α	α	PROPN
ejpam-6152	129	22	φ′(θ	φ′(θ	PROPN
ejpam-6152	129	23	)	)	PUNCT
ejpam-6152	129	24	exp	exp	NOUN
ejpam-6152	129	25	[	[	PUNCT
ejpam-6152	129	26	−	−	PROPN
ejpam-6152	129	27	t−	t−	PROPN
ejpam-6152	129	28	θ	θ	PROPN
ejpam-6152	130	1	1−	1−	NUM
ejpam-6152	130	2	θ	θ	NOUN
ejpam-6152	130	3	]	]	PUNCT
ejpam-6152	131	1	dθ	dθ	PROPN
ejpam-6152	131	2	.	.	PUNCT
ejpam-6152	131	3	s.	s.	PROPN
ejpam-6152	131	4	saber	saber	PROPN
ejpam-6152	131	5	et	et	PROPN
ejpam-6152	131	6	al	al	PROPN
ejpam-6152	131	7	.	.	PUNCT
ejpam-6152	131	8	/	/	SYM
ejpam-6152	131	9	eur	eur	PROPN
ejpam-6152	131	10	.	.	PUNCT
ejpam-6152	132	1	j.	j.	PROPN
ejpam-6152	132	2	pure	pure	PROPN
ejpam-6152	132	3	appl	appl	PROPN
ejpam-6152	132	4	.	.	PROPN
ejpam-6152	132	5	math	math	PROPN
ejpam-6152	132	6	,	,	PUNCT
ejpam-6152	132	7	18	18	NUM
ejpam-6152	132	8	(	(	PUNCT
ejpam-6152	132	9	2	2	NUM
ejpam-6152	132	10	)	)	PUNCT
ejpam-6152	132	11	(	(	PUNCT
ejpam-6152	132	12	2025	2025	NUM
ejpam-6152	132	13	)	)	PUNCT
ejpam-6152	132	14	,	,	PUNCT
ejpam-6152	132	15	6152	6152	NUM
ejpam-6152	132	16	6	6	NUM
ejpam-6152	132	17	of	of	ADP
ejpam-6152	132	18	24	24	NUM
ejpam-6152	132	19	here	here	ADV
ejpam-6152	132	20	,	,	PUNCT
ejpam-6152	132	21	ň(α̌	ň(α̌	NOUN
ejpam-6152	132	22	)	)	PUNCT
ejpam-6152	132	23	is	be	AUX
ejpam-6152	132	24	a	a	DET
ejpam-6152	132	25	normalization	normalization	NOUN
ejpam-6152	132	26	function	function	NOUN
ejpam-6152	132	27	,	,	PUNCT
ejpam-6152	132	28	where	where	SCONJ
ejpam-6152	132	29	ň(1	ň(1	ADJ
ejpam-6152	132	30	)	)	PUNCT
ejpam-6152	132	31	=	=	SYM
ejpam-6152	132	32	ň(0	ň(0	NOUN
ejpam-6152	132	33	)	)	PUNCT
ejpam-6152	132	34	=	=	SYM
ejpam-6152	133	1	1	1	X
ejpam-6152	133	2	.	.	PUNCT
ejpam-6152	134	1	if	if	SCONJ
ejpam-6152	134	2	φ	φ	PROPN
ejpam-6152	134	3	does	do	AUX
ejpam-6152	134	4	not	not	PART
ejpam-6152	134	5	belong	belong	VERB
ejpam-6152	134	6	to	to	ADP
ejpam-6152	134	7	h1(a	h1(a	PRON
ejpam-6152	134	8	,	,	PUNCT
ejpam-6152	134	9	b	b	NOUN
ejpam-6152	134	10	)	)	PUNCT
ejpam-6152	134	11	,	,	PUNCT
ejpam-6152	134	12	then	then	ADV
ejpam-6152	134	13	the	the	DET
ejpam-6152	134	14	cf	cf	NOUN
ejpam-6152	134	15	derivative	derivative	NOUN
ejpam-6152	134	16	can	can	AUX
ejpam-6152	134	17	be	be	AUX
ejpam-6152	134	18	redefined	redefine	VERB
ejpam-6152	134	19	as	as	ADP
ejpam-6152	134	20	:	:	PUNCT
ejpam-6152	134	21	cfd	cfd	NOUN
ejpam-6152	134	22	α̌	α̌	X
ejpam-6152	134	23	t	t	PROPN
ejpam-6152	134	24	φ(t	φ(t	PROPN
ejpam-6152	134	25	)	)	PUNCT
ejpam-6152	134	26	=	=	SYM
ejpam-6152	134	27	ň(α̌	ň(α̌	NOUN
ejpam-6152	134	28	)	)	PUNCT
ejpam-6152	134	29	1−	1−	NUM
ejpam-6152	134	30	α̌	α̌	NUM
ejpam-6152	134	31	∫	∫	PROPN
ejpam-6152	134	32	t	t	PROPN
ejpam-6152	134	33	α	α	PROPN
ejpam-6152	135	1	[	[	X
ejpam-6152	135	2	φ(t)−	φ(t)−	PROPN
ejpam-6152	135	3	φ(θ	φ(θ	PROPN
ejpam-6152	135	4	)	)	PUNCT
ejpam-6152	135	5	]	]	PUNCT
ejpam-6152	135	6	exp	exp	NOUN
ejpam-6152	135	7	[	[	PUNCT
ejpam-6152	135	8	−	−	PROPN
ejpam-6152	135	9	t−	t−	PROPN
ejpam-6152	135	10	θ	θ	PROPN
ejpam-6152	135	11	1−	1−	NUM
ejpam-6152	135	12	θ	θ	NOUN
ejpam-6152	135	13	]	]	PUNCT
ejpam-6152	136	1	dθ	dθ	PROPN
ejpam-6152	136	2	.	.	PROPN
ejpam-6152	136	3	definition	definition	NOUN
ejpam-6152	136	4	2	2	NUM
ejpam-6152	136	5	(	(	PUNCT
ejpam-6152	136	6	[	[	X
ejpam-6152	136	7	69	69	NUM
ejpam-6152	136	8	]	]	PUNCT
ejpam-6152	136	9	)	)	PUNCT
ejpam-6152	136	10	.	.	PUNCT
ejpam-6152	137	1	let	let	VERB
ejpam-6152	137	2	α̌	α̌	PRON
ejpam-6152	137	3	∈	∈	X
ejpam-6152	137	4	(	(	PUNCT
ejpam-6152	137	5	0	0	NUM
ejpam-6152	137	6	,	,	PUNCT
ejpam-6152	137	7	1	1	NUM
ejpam-6152	137	8	]	]	PUNCT
ejpam-6152	137	9	.	.	PUNCT
ejpam-6152	138	1	the	the	DET
ejpam-6152	138	2	fractional	fractional	ADJ
ejpam-6152	138	3	integral	integral	NOUN
ejpam-6152	138	4	of	of	ADP
ejpam-6152	138	5	order	order	NOUN
ejpam-6152	138	6	α̌	α̌	X
ejpam-6152	138	7	for	for	ADP
ejpam-6152	138	8	a	a	DET
ejpam-6152	138	9	function	function	NOUN
ejpam-6152	138	10	φ	φ	PROPN
ejpam-6152	138	11	is	be	AUX
ejpam-6152	138	12	expressed	express	VERB
ejpam-6152	138	13	as	as	ADP
ejpam-6152	138	14	:	:	PUNCT
ejpam-6152	138	15	cfi	cfi	PROPN
ejpam-6152	138	16	α̌t	α̌t	PROPN
ejpam-6152	138	17	φ(t	φ(t	PROPN
ejpam-6152	138	18	)	)	PUNCT
ejpam-6152	138	19	=	=	PUNCT
ejpam-6152	138	20	(	(	PUNCT
ejpam-6152	138	21	1−	1−	NUM
ejpam-6152	138	22	α̌	α̌	NOUN
ejpam-6152	138	23	)	)	PUNCT
ejpam-6152	138	24	ň(α̌	ň(α̌	ADJ
ejpam-6152	138	25	)	)	PUNCT
ejpam-6152	138	26	φ(t	φ(t	PROPN
ejpam-6152	138	27	)	)	PUNCT
ejpam-6152	139	1	+	+	CCONJ
ejpam-6152	139	2	α̌	α̌	PROPN
ejpam-6152	139	3	ň(α̌	ň(α̌	ADJ
ejpam-6152	139	4	)	)	PUNCT
ejpam-6152	139	5	φ(t	φ(t	PROPN
ejpam-6152	139	6	)	)	PUNCT
ejpam-6152	140	1	∫	∫	PROPN
ejpam-6152	140	2	t	t	PROPN
ejpam-6152	140	3	0	0	NUM
ejpam-6152	141	1	φ(θ)dθ	φ(θ)dθ	NOUN
ejpam-6152	141	2	.	.	PROPN
ejpam-6152	141	3	definition	definition	NOUN
ejpam-6152	141	4	3	3	NUM
ejpam-6152	141	5	(	(	PUNCT
ejpam-6152	141	6	[	[	X
ejpam-6152	141	7	70	70	NUM
ejpam-6152	141	8	,	,	PUNCT
ejpam-6152	141	9	71	71	NUM
ejpam-6152	141	10	]	]	PUNCT
ejpam-6152	141	11	)	)	PUNCT
ejpam-6152	141	12	.	.	PUNCT
ejpam-6152	142	1	the	the	DET
ejpam-6152	142	2	laplace	laplace	NOUN
ejpam-6152	142	3	transform	transform	NOUN
ejpam-6152	142	4	of	of	ADP
ejpam-6152	142	5	the	the	DET
ejpam-6152	142	6	cf	cf	NOUN
ejpam-6152	142	7	derivative	derivative	ADJ
ejpam-6152	142	8	m(t	m(t	NOUN
ejpam-6152	142	9	)	)	PUNCT
ejpam-6152	142	10	is	be	AUX
ejpam-6152	142	11	formulated	formulate	VERB
ejpam-6152	142	12	as	as	ADP
ejpam-6152	142	13	:	:	PUNCT
ejpam-6152	142	14	l	l	NOUN
ejpam-6152	142	15	[	[	PUNCT
ejpam-6152	142	16	cfd	cfd	NOUN
ejpam-6152	142	17	α̌	α̌	X
ejpam-6152	142	18	t	t	PROPN
ejpam-6152	142	19	m(t	m(t	PROPN
ejpam-6152	142	20	)	)	PUNCT
ejpam-6152	142	21	]	]	PUNCT
ejpam-6152	143	1	=	=	PUNCT
ejpam-6152	143	2	sl	sl	NUM
ejpam-6152	143	3	[	[	X
ejpam-6152	143	4	m(t)]−m(0	m(t)]−m(0	ADJ
ejpam-6152	143	5	)	)	PUNCT
ejpam-6152	143	6	s+	s+	PUNCT
ejpam-6152	143	7	α̌(1−	α̌(1−	PROPN
ejpam-6152	143	8	s	s	PART
ejpam-6152	143	9	)	)	PUNCT
ejpam-6152	143	10	,	,	PUNCT
ejpam-6152	143	11	s	s	VERB
ejpam-6152	143	12	≥	≥	NOUN
ejpam-6152	143	13	0	0	NUM
ejpam-6152	143	14	,	,	PUNCT
ejpam-6152	143	15	α̌	α̌	X
ejpam-6152	143	16	∈	∈	PROPN
ejpam-6152	143	17	(	(	PUNCT
ejpam-6152	143	18	0	0	NUM
ejpam-6152	143	19	,	,	PUNCT
ejpam-6152	143	20	1	1	NUM
ejpam-6152	143	21	]	]	PUNCT
ejpam-6152	143	22	.	.	PUNCT
ejpam-6152	144	1	the	the	DET
ejpam-6152	144	2	sumudu	sumudu	NOUN
ejpam-6152	144	3	transform	transform	NOUN
ejpam-6152	144	4	,	,	PUNCT
ejpam-6152	144	5	often	often	ADV
ejpam-6152	144	6	utilized	utilize	VERB
ejpam-6152	144	7	in	in	ADP
ejpam-6152	144	8	fractional	fractional	ADJ
ejpam-6152	144	9	calculus	calculus	NOUN
ejpam-6152	144	10	applications	application	NOUN
ejpam-6152	144	11	,	,	PUNCT
ejpam-6152	144	12	builds	build	VERB
ejpam-6152	144	13	upon	upon	SCONJ
ejpam-6152	144	14	integral	integral	ADJ
ejpam-6152	144	15	transform	transform	NOUN
ejpam-6152	144	16	techniques	technique	NOUN
ejpam-6152	144	17	[	[	X
ejpam-6152	144	18	31	31	NUM
ejpam-6152	144	19	,	,	PUNCT
ejpam-6152	144	20	32	32	NUM
ejpam-6152	144	21	]	]	PUNCT
ejpam-6152	144	22	.	.	PUNCT
ejpam-6152	145	1	let	let	VERB
ejpam-6152	145	2	us	we	PRON
ejpam-6152	145	3	consider	consider	VERB
ejpam-6152	145	4	a	a	DET
ejpam-6152	145	5	function	function	NOUN
ejpam-6152	145	6	space	space	NOUN
ejpam-6152	145	7	defined	define	VERB
ejpam-6152	145	8	as	as	SCONJ
ejpam-6152	145	9	follows	follow	VERB
ejpam-6152	145	10	:	:	PUNCT
ejpam-6152	145	11	a	a	DET
ejpam-6152	145	12	=	=	X
ejpam-6152	145	13	{	{	PUNCT
ejpam-6152	145	14	ϕ	ϕ	NOUN
ejpam-6152	145	15	:	:	PUNCT
ejpam-6152	145	16	∃α̌	∃α̌	PROPN
ejpam-6152	145	17	,	,	PUNCT
ejpam-6152	145	18	c1	c1	PROPN
ejpam-6152	145	19	,	,	PUNCT
ejpam-6152	145	20	c2	c2	PROPN
ejpam-6152	145	21	≥	≥	NUM
ejpam-6152	145	22	0	0	NUM
ejpam-6152	145	23	such	such	ADJ
ejpam-6152	145	24	that	that	SCONJ
ejpam-6152	145	25	|ϕ(t)|	|ϕ(t)|	PUNCT
ejpam-6152	145	26	<	<	X
ejpam-6152	145	27	α̌	α̌	X
ejpam-6152	145	28	exp	exp	NOUN
ejpam-6152	145	29	(	(	PUNCT
ejpam-6152	145	30	t	t	PROPN
ejpam-6152	145	31	cj	cj	PROPN
ejpam-6152	145	32	)	)	PUNCT
ejpam-6152	145	33	,	,	PUNCT
ejpam-6152	145	34	t	t	PROPN
ejpam-6152	145	35	∈	∈	PROPN
ejpam-6152	145	36	(	(	PUNCT
ejpam-6152	146	1	−1)j	−1)j	NOUN
ejpam-6152	146	2	×	×	NOUN
ejpam-6152	147	1	[	[	X
ejpam-6152	147	2	0,∞	0,∞	NOUN
ejpam-6152	147	3	)	)	PUNCT
ejpam-6152	147	4	}	}	PUNCT
ejpam-6152	147	5	,	,	PUNCT
ejpam-6152	147	6	and	and	CCONJ
ejpam-6152	147	7	define	define	VERB
ejpam-6152	147	8	the	the	DET
ejpam-6152	147	9	sumudu	sumudu	NOUN
ejpam-6152	147	10	transform	transform	NOUN
ejpam-6152	147	11	of	of	ADP
ejpam-6152	147	12	ϕ(t	ϕ(t	PROPN
ejpam-6152	147	13	)	)	PUNCT
ejpam-6152	147	14	∈	∈	PROPN
ejpam-6152	147	15	a	a	DET
ejpam-6152	147	16	by	by	ADP
ejpam-6152	147	17	:	:	PUNCT
ejpam-6152	147	18	st[ϕ(t)](s	st[ϕ(t)](s	X
ejpam-6152	147	19	)	)	PUNCT
ejpam-6152	147	20	=	=	SYM
ejpam-6152	148	1	1	1	NUM
ejpam-6152	148	2	s	s	NOUN
ejpam-6152	148	3	∫	∫	PROPN
ejpam-6152	148	4	∞	∞	PROPN
ejpam-6152	148	5	0	0	NUM
ejpam-6152	148	6	exp	exp	NOUN
ejpam-6152	148	7	(	(	PUNCT
ejpam-6152	148	8	−	−	PROPN
ejpam-6152	148	9	t	t	PROPN
ejpam-6152	148	10	s	s	PART
ejpam-6152	148	11	)	)	PUNCT
ejpam-6152	148	12	ϕ(t)dt	ϕ(t)dt	PROPN
ejpam-6152	148	13	,	,	PUNCT
ejpam-6152	148	14	where	where	SCONJ
ejpam-6152	148	15	the	the	DET
ejpam-6152	148	16	inverse	inverse	NOUN
ejpam-6152	148	17	transform	transform	NOUN
ejpam-6152	148	18	is	be	AUX
ejpam-6152	148	19	denoted	denote	VERB
ejpam-6152	148	20	by	by	ADP
ejpam-6152	148	21	ϕ(t	ϕ(t	PROPN
ejpam-6152	148	22	)	)	PUNCT
ejpam-6152	148	23	=	=	PUNCT
ejpam-6152	148	24	st−1[ϕ(s	st−1[ϕ(s	PROPN
ejpam-6152	148	25	)	)	PUNCT
ejpam-6152	148	26	]	]	PUNCT
ejpam-6152	148	27	.	.	PUNCT
ejpam-6152	149	1	the	the	DET
ejpam-6152	149	2	sumudu	sumudu	NOUN
ejpam-6152	149	3	transform	transform	NOUN
ejpam-6152	149	4	of	of	ADP
ejpam-6152	149	5	the	the	DET
ejpam-6152	149	6	cf	cf	NOUN
ejpam-6152	149	7	derivative	derivative	NOUN
ejpam-6152	149	8	is	be	AUX
ejpam-6152	149	9	given	give	VERB
ejpam-6152	149	10	by	by	ADP
ejpam-6152	149	11	[	[	PUNCT
ejpam-6152	149	12	33	33	NUM
ejpam-6152	149	13	]	]	X
ejpam-6152	149	14	:	:	PUNCT
ejpam-6152	149	15	st	st	PROPN
ejpam-6152	149	16	[	[	PUNCT
ejpam-6152	149	17	cfd	cfd	NOUN
ejpam-6152	149	18	α̌	α̌	X
ejpam-6152	149	19	0	0	NUM
ejpam-6152	149	20	ϕ(t	ϕ(t	NUM
ejpam-6152	149	21	)	)	PUNCT
ejpam-6152	149	22	]	]	PUNCT
ejpam-6152	149	23	(	(	PUNCT
ejpam-6152	149	24	s	s	X
ejpam-6152	149	25	)	)	PUNCT
ejpam-6152	149	26	=	=	SYM
ejpam-6152	149	27	ň(α̌	ň(α̌	ADJ
ejpam-6152	149	28	)	)	PUNCT
ejpam-6152	149	29	1−	1−	NUM
ejpam-6152	150	1	α̌+	α̌+	PROPN
ejpam-6152	150	2	α̌s	α̌s	PROPN
ejpam-6152	150	3	(	(	PUNCT
ejpam-6152	150	4	st[ϕ(t)](s)−	st[ϕ(t)](s)−	PROPN
ejpam-6152	150	5	ϕ(0	ϕ(0	PROPN
ejpam-6152	150	6	)	)	PUNCT
ejpam-6152	150	7	)	)	PUNCT
ejpam-6152	150	8	.	.	PUNCT
ejpam-6152	151	1	4	4	X
ejpam-6152	151	2	.	.	X
ejpam-6152	151	3	existence	existence	NOUN
ejpam-6152	151	4	and	and	CCONJ
ejpam-6152	151	5	uniqueness	uniqueness	NOUN
ejpam-6152	151	6	in	in	ADP
ejpam-6152	151	7	this	this	DET
ejpam-6152	151	8	section	section	NOUN
ejpam-6152	151	9	,	,	PUNCT
ejpam-6152	151	10	we	we	PRON
ejpam-6152	151	11	are	be	AUX
ejpam-6152	151	12	going	go	VERB
ejpam-6152	151	13	to	to	PART
ejpam-6152	151	14	discuss	discuss	VERB
ejpam-6152	151	15	the	the	DET
ejpam-6152	151	16	existence	existence	NOUN
ejpam-6152	151	17	and	and	CCONJ
ejpam-6152	151	18	uniqueness	uniqueness	NOUN
ejpam-6152	151	19	of	of	ADP
ejpam-6152	151	20	the	the	DET
ejpam-6152	151	21	solutions	solution	NOUN
ejpam-6152	151	22	[	[	X
ejpam-6152	151	23	34	34	NUM
ejpam-6152	151	24	]	]	PUNCT
ejpam-6152	151	25	of	of	ADP
ejpam-6152	151	26	the	the	DET
ejpam-6152	151	27	caputo	caputo	PROPN
ejpam-6152	151	28	fabrizio	fabrizio	PROPN
ejpam-6152	151	29	fractional	fractional	PROPN
ejpam-6152	151	30	model	model	NOUN
ejpam-6152	151	31	with	with	ADP
ejpam-6152	151	32	initial	initial	ADJ
ejpam-6152	151	33	conditions	condition	NOUN
ejpam-6152	151	34	in	in	ADP
ejpam-6152	151	35	system	system	NOUN
ejpam-6152	151	36	(	(	PUNCT
ejpam-6152	151	37	1	1	NUM
ejpam-6152	151	38	)	)	PUNCT
ejpam-6152	151	39	.	.	PUNCT
ejpam-6152	152	1	by	by	ADP
ejpam-6152	152	2	using	use	VERB
ejpam-6152	152	3	caputo	caputo	PROPN
ejpam-6152	152	4	-	-	PUNCT
ejpam-6152	152	5	fabrizio	fabrizio	PROPN
ejpam-6152	152	6	fractional	fractional	ADJ
ejpam-6152	152	7	integral	integral	ADJ
ejpam-6152	152	8	operator	operator	NOUN
ejpam-6152	152	9	on	on	ADP
ejpam-6152	152	10	the	the	DET
ejpam-6152	152	11	above	above	ADJ
ejpam-6152	152	12	system	system	NOUN
ejpam-6152	152	13	,	,	PUNCT
ejpam-6152	152	14	we	we	PRON
ejpam-6152	152	15	get	get	VERB
ejpam-6152	152	16	ǔ−	ǔ−	ADJ
ejpam-6152	152	17	ǔ(0	ǔ(0	ADJ
ejpam-6152	152	18	)	)	PUNCT
ejpam-6152	153	1	=	=	SYM
ejpam-6152	153	2	cfi	cfi	PROPN
ejpam-6152	153	3	α̌t	α̌t	PROPN
ejpam-6152	153	4	[	[	PUNCT
ejpam-6152	153	5	−	−	PUNCT
ejpam-6152	153	6	d1	d1	PROPN
ejpam-6152	153	7	ǔ+	ǔ+	PROPN
ejpam-6152	153	8	d2	d2	PROPN
ejpam-6152	153	9	ǔv̌	ǔv̌	PROPN
ejpam-6152	153	10	+	+	PROPN
ejpam-6152	153	11	d3	d3	PROPN
ejpam-6152	153	12	v̌	v̌	X
ejpam-6152	153	13	2	2	NUM
ejpam-6152	153	14	+	+	CCONJ
ejpam-6152	153	15	d4	d4	PROPN
ejpam-6152	153	16	v̌	v̌	NOUN
ejpam-6152	153	17	3	3	NUM
ejpam-6152	153	18	+	+	NUM
ejpam-6152	153	19	d5	d5	NOUN
ejpam-6152	153	20	w̌	w̌	NOUN
ejpam-6152	153	21	+	+	CCONJ
ejpam-6152	153	22	d6	d6	NOUN
ejpam-6152	153	23	w̌	w̌	X
ejpam-6152	153	24	2	2	NUM
ejpam-6152	153	25	+	+	CCONJ
ejpam-6152	153	26	d7	d7	PROPN
ejpam-6152	153	27	w̌	w̌	X
ejpam-6152	153	28	3	3	NUM
ejpam-6152	153	29	+	+	CCONJ
ejpam-6152	153	30	d20	d20	X
ejpam-6152	153	31	]	]	PUNCT
ejpam-6152	153	32	,	,	PUNCT
ejpam-6152	153	33	v̌	v̌	X
ejpam-6152	153	34	−	−	NOUN
ejpam-6152	153	35	v̌(0	v̌(0	NOUN
ejpam-6152	153	36	)	)	PUNCT
ejpam-6152	154	1	=	=	SYM
ejpam-6152	154	2	cfi	cfi	PROPN
ejpam-6152	154	3	α̌t	α̌t	PROPN
ejpam-6152	154	4	[	[	PUNCT
ejpam-6152	154	5	−	−	PROPN
ejpam-6152	154	6	d8	d8	PROPN
ejpam-6152	154	7	ǔv̌	ǔv̌	PROPN
ejpam-6152	155	1	−	−	PROPN
ejpam-6152	155	2	d9	d9	PROPN
ejpam-6152	155	3	ǔ	ǔ	PROPN
ejpam-6152	155	4	2	2	NUM
ejpam-6152	155	5	−	−	PROPN
ejpam-6152	155	6	d10	d10	PROPN
ejpam-6152	155	7	ǔ	ǔ	PROPN
ejpam-6152	155	8	3	3	NUM
ejpam-6152	155	9	+	+	CCONJ
ejpam-6152	155	10	d11	d11	PROPN
ejpam-6152	155	11	v̌(1−	v̌(1−	PROPN
ejpam-6152	155	12	v̌)−	v̌)−	X
ejpam-6152	155	13	d12	d12	X
ejpam-6152	156	1	w̌	w̌	X
ejpam-6152	156	2	−	−	NOUN
ejpam-6152	156	3	d13	d13	NOUN
ejpam-6152	156	4	w̌	w̌	NOUN
ejpam-6152	156	5	2	2	NUM
ejpam-6152	156	6	−	−	NOUN
ejpam-6152	156	7	d14	d14	NOUN
ejpam-6152	156	8	w̌	w̌	PUNCT
ejpam-6152	156	9	3	3	NUM
ejpam-6152	156	10	+	+	NOUN
ejpam-6152	156	11	d21	d21	NOUN
ejpam-6152	156	12	]	]	PUNCT
ejpam-6152	156	13	,	,	PUNCT
ejpam-6152	156	14	w̌	w̌	X
ejpam-6152	156	15	−	−	PROPN
ejpam-6152	156	16	w̌(0	w̌(0	X
ejpam-6152	156	17	)	)	PUNCT
ejpam-6152	156	18	=	=	SYM
ejpam-6152	157	1	cfi	cfi	PROPN
ejpam-6152	157	2	α̌t	α̌t	PROPN
ejpam-6152	157	3	[	[	PUNCT
ejpam-6152	157	4	d15	d15	NOUN
ejpam-6152	157	5	v̌	v̌	NOUN
ejpam-6152	157	6	+	+	CCONJ
ejpam-6152	157	7	d16	d16	ADJ
ejpam-6152	157	8	v̌	v̌	NOUN
ejpam-6152	157	9	2	2	NUM
ejpam-6152	157	10	+	+	NUM
ejpam-6152	157	11	d17	d17	NOUN
ejpam-6152	157	12	v̌	v̌	ADP
ejpam-6152	157	13	3	3	NUM
ejpam-6152	157	14	−	−	NOUN
ejpam-6152	157	15	d18	d18	NOUN
ejpam-6152	157	16	w̌	w̌	NOUN
ejpam-6152	157	17	−	−	NOUN
ejpam-6152	157	18	d19	d19	PROPN
ejpam-6152	157	19	v̌w̌	v̌w̌	PROPN
ejpam-6152	157	20	]	]	PUNCT
ejpam-6152	157	21	.	.	PUNCT
ejpam-6152	158	1	s.	s.	PROPN
ejpam-6152	158	2	saber	saber	PROPN
ejpam-6152	158	3	et	et	PROPN
ejpam-6152	158	4	al	al	PROPN
ejpam-6152	158	5	.	.	PUNCT
ejpam-6152	158	6	/	/	SYM
ejpam-6152	158	7	eur	eur	PROPN
ejpam-6152	158	8	.	.	PUNCT
ejpam-6152	159	1	j.	j.	PROPN
ejpam-6152	159	2	pure	pure	PROPN
ejpam-6152	159	3	appl	appl	PROPN
ejpam-6152	159	4	.	.	PROPN
ejpam-6152	159	5	math	math	PROPN
ejpam-6152	159	6	,	,	PUNCT
ejpam-6152	159	7	18	18	NUM
ejpam-6152	159	8	(	(	PUNCT
ejpam-6152	159	9	2	2	NUM
ejpam-6152	159	10	)	)	PUNCT
ejpam-6152	159	11	(	(	PUNCT
ejpam-6152	159	12	2025	2025	NUM
ejpam-6152	159	13	)	)	PUNCT
ejpam-6152	159	14	,	,	PUNCT
ejpam-6152	159	15	6152	6152	NUM
ejpam-6152	159	16	7	7	NUM
ejpam-6152	159	17	of	of	ADP
ejpam-6152	159	18	24	24	NUM
ejpam-6152	159	19	the	the	DET
ejpam-6152	159	20	kernels	kernel	NOUN
ejpam-6152	159	21	of	of	ADP
ejpam-6152	159	22	the	the	DET
ejpam-6152	159	23	system	system	NOUN
ejpam-6152	159	24	are	be	AUX
ejpam-6152	159	25	:	:	PUNCT
ejpam-6152	159	26	λ1(t	λ1(t	ADJ
ejpam-6152	159	27	,	,	PUNCT
ejpam-6152	159	28	ǔ	ǔ	ADV
ejpam-6152	159	29	,	,	PUNCT
ejpam-6152	159	30	v̌	v̌	NOUN
ejpam-6152	159	31	,	,	PUNCT
ejpam-6152	159	32	w̌	w̌	NOUN
ejpam-6152	159	33	)	)	PUNCT
ejpam-6152	159	34	=	=	SYM
ejpam-6152	159	35	−d1	−d1	NOUN
ejpam-6152	159	36	ǔ+	ǔ+	PROPN
ejpam-6152	159	37	d2	d2	PROPN
ejpam-6152	159	38	ǔv̌	ǔv̌	PROPN
ejpam-6152	159	39	+	+	PROPN
ejpam-6152	159	40	d3	d3	PROPN
ejpam-6152	159	41	v̌	v̌	X
ejpam-6152	159	42	2	2	NUM
ejpam-6152	159	43	+	+	CCONJ
ejpam-6152	159	44	d4	d4	PROPN
ejpam-6152	159	45	v̌	v̌	NOUN
ejpam-6152	159	46	3	3	NUM
ejpam-6152	159	47	+	+	NUM
ejpam-6152	159	48	d5	d5	NOUN
ejpam-6152	159	49	w̌	w̌	NOUN
ejpam-6152	159	50	+	+	CCONJ
ejpam-6152	159	51	d6	d6	NOUN
ejpam-6152	159	52	w̌	w̌	X
ejpam-6152	159	53	2	2	NUM
ejpam-6152	159	54	+	+	CCONJ
ejpam-6152	159	55	d7	d7	PROPN
ejpam-6152	159	56	w̌	w̌	X
ejpam-6152	159	57	3	3	NUM
ejpam-6152	159	58	+	+	CCONJ
ejpam-6152	159	59	d20	d20	VERB
ejpam-6152	159	60	,	,	PUNCT
ejpam-6152	159	61	λ2(t	λ2(t	NOUN
ejpam-6152	159	62	,	,	PUNCT
ejpam-6152	159	63	ǔ	ǔ	ADP
ejpam-6152	159	64	,	,	PUNCT
ejpam-6152	159	65	v̌	v̌	NOUN
ejpam-6152	159	66	,	,	PUNCT
ejpam-6152	159	67	w̌	w̌	NOUN
ejpam-6152	159	68	)	)	PUNCT
ejpam-6152	159	69	=	=	VERB
ejpam-6152	159	70	−d8	−d8	PROPN
ejpam-6152	159	71	ǔv̌	ǔv̌	PROPN
ejpam-6152	159	72	−	−	PROPN
ejpam-6152	159	73	d9	d9	PROPN
ejpam-6152	159	74	ǔ	ǔ	PROPN
ejpam-6152	159	75	2	2	NUM
ejpam-6152	159	76	−	−	PROPN
ejpam-6152	159	77	d10	d10	PROPN
ejpam-6152	159	78	ǔ	ǔ	PROPN
ejpam-6152	159	79	3	3	NUM
ejpam-6152	159	80	+	+	CCONJ
ejpam-6152	159	81	d11	d11	PROPN
ejpam-6152	159	82	v̌(1−	v̌(1−	PROPN
ejpam-6152	159	83	v̌)−	v̌)−	X
ejpam-6152	159	84	d12	d12	X
ejpam-6152	160	1	w̌	w̌	X
ejpam-6152	160	2	−	−	NOUN
ejpam-6152	160	3	d13	d13	NOUN
ejpam-6152	160	4	w̌	w̌	NOUN
ejpam-6152	160	5	2	2	NUM
ejpam-6152	160	6	−	−	NOUN
ejpam-6152	160	7	d14	d14	NOUN
ejpam-6152	160	8	w̌	w̌	PUNCT
ejpam-6152	160	9	3	3	NUM
ejpam-6152	160	10	+	+	X
ejpam-6152	160	11	d21	d21	X
ejpam-6152	160	12	,	,	PUNCT
ejpam-6152	160	13	λ3(t	λ3(t	PROPN
ejpam-6152	160	14	,	,	PUNCT
ejpam-6152	160	15	ǔ	ǔ	PROPN
ejpam-6152	160	16	,	,	PUNCT
ejpam-6152	160	17	v̌	v̌	NOUN
ejpam-6152	160	18	,	,	PUNCT
ejpam-6152	160	19	w̌	w̌	NOUN
ejpam-6152	160	20	)	)	PUNCT
ejpam-6152	160	21	=	=	SYM
ejpam-6152	160	22	d15	d15	NOUN
ejpam-6152	160	23	v̌	v̌	NOUN
ejpam-6152	160	24	+	+	CCONJ
ejpam-6152	160	25	d16	d16	ADJ
ejpam-6152	160	26	v̌	v̌	NOUN
ejpam-6152	160	27	2	2	NUM
ejpam-6152	160	28	+	+	NUM
ejpam-6152	160	29	d17	d17	NOUN
ejpam-6152	160	30	v̌	v̌	ADP
ejpam-6152	160	31	3	3	NUM
ejpam-6152	160	32	−	−	NOUN
ejpam-6152	160	33	d18	d18	NOUN
ejpam-6152	160	34	w̌	w̌	NOUN
ejpam-6152	160	35	−	−	PROPN
ejpam-6152	160	36	d19	d19	PROPN
ejpam-6152	160	37	v̌w̌.	v̌w̌.	NOUN
ejpam-6152	160	38	we	we	PRON
ejpam-6152	160	39	will	will	AUX
ejpam-6152	160	40	assume	assume	VERB
ejpam-6152	160	41	that	that	SCONJ
ejpam-6152	160	42	ǔ	ǔ	PRON
ejpam-6152	160	43	,	,	PUNCT
ejpam-6152	160	44	v̌	v̌	NOUN
ejpam-6152	160	45	and	and	CCONJ
ejpam-6152	160	46	w̌	w̌	X
ejpam-6152	160	47	are	be	AUX
ejpam-6152	160	48	nonnegative	nonnegative	ADJ
ejpam-6152	160	49	bounded	bounded	ADJ
ejpam-6152	160	50	functions	function	NOUN
ejpam-6152	160	51	according	accord	VERB
ejpam-6152	160	52	to	to	ADP
ejpam-6152	160	53	previous	previous	ADJ
ejpam-6152	160	54	theorem	theorem	NOUN
ejpam-6152	160	55	.	.	PROPN
ejpam-6152	160	56	with	with	ADP
ejpam-6152	160	57	the	the	DET
ejpam-6152	160	58	caputo	caputo	PROPN
ejpam-6152	160	59	fabrizio	fabrizio	PROPN
ejpam-6152	160	60	fractional	fractional	PROPN
ejpam-6152	160	61	integral	integral	ADJ
ejpam-6152	160	62	to	to	ADP
ejpam-6152	160	63	eq	eq	PROPN
ejpam-6152	160	64	.	.	PUNCT
ejpam-6152	161	1	(	(	PUNCT
ejpam-6152	161	2	1	1	NUM
ejpam-6152	161	3	)	)	PUNCT
ejpam-6152	161	4	,	,	PUNCT
ejpam-6152	161	5	we	we	PRON
ejpam-6152	161	6	have	have	VERB
ejpam-6152	161	7	ǔ−	ǔ−	ADJ
ejpam-6152	161	8	ǔ(0	ǔ(0	ADJ
ejpam-6152	161	9	)	)	PUNCT
ejpam-6152	161	10	=	=	PUNCT
ejpam-6152	162	1	2(1−	2(1−	NUM
ejpam-6152	162	2	α̌	α̌	NUM
ejpam-6152	162	3	)	)	PUNCT
ejpam-6152	162	4	(	(	PUNCT
ejpam-6152	162	5	2−	2−	NUM
ejpam-6152	162	6	α̌)n(α̌	α̌)n(α̌	NOUN
ejpam-6152	162	7	)	)	PUNCT
ejpam-6152	162	8	(	(	PUNCT
ejpam-6152	162	9	λ1(t	λ1(t	PROPN
ejpam-6152	162	10	,	,	PUNCT
ejpam-6152	162	11	ǔ	ǔ	ADV
ejpam-6152	162	12	,	,	PUNCT
ejpam-6152	162	13	v̌	v̌	NOUN
ejpam-6152	162	14	,	,	PUNCT
ejpam-6152	162	15	w̌	w̌	NOUN
ejpam-6152	162	16	)	)	PUNCT
ejpam-6152	162	17	)	)	PUNCT
ejpam-6152	163	1	+	+	CCONJ
ejpam-6152	163	2	2α̌	2α̌	NUM
ejpam-6152	163	3	(	(	PUNCT
ejpam-6152	163	4	2−	2−	NUM
ejpam-6152	163	5	α̌)n(α̌	α̌)n(α̌	NOUN
ejpam-6152	163	6	)	)	PUNCT
ejpam-6152	164	1	∫	∫	PROPN
ejpam-6152	164	2	t	t	PROPN
ejpam-6152	164	3	0	0	NUM
ejpam-6152	165	1	(	(	PUNCT
ejpam-6152	165	2	λ1(s	λ1(s	PROPN
ejpam-6152	165	3	,	,	PUNCT
ejpam-6152	165	4	ǔ(s	ǔ(s	ADJ
ejpam-6152	165	5	)	)	PUNCT
ejpam-6152	165	6	,	,	PUNCT
ejpam-6152	165	7	v̌(s	v̌(s	PROPN
ejpam-6152	165	8	)	)	PUNCT
ejpam-6152	165	9	,	,	PUNCT
ejpam-6152	165	10	w̌(s	w̌(s	PROPN
ejpam-6152	165	11	)	)	PUNCT
ejpam-6152	165	12	)	)	PUNCT
ejpam-6152	165	13	)	)	PUNCT
ejpam-6152	166	1	ds	ds	ADJ
ejpam-6152	166	2	,	,	PUNCT
ejpam-6152	166	3	v̌	v̌	X
ejpam-6152	166	4	−	−	NOUN
ejpam-6152	166	5	v̌(0	v̌(0	NOUN
ejpam-6152	166	6	)	)	PUNCT
ejpam-6152	166	7	=	=	PUNCT
ejpam-6152	167	1	2(1−	2(1−	NUM
ejpam-6152	167	2	α̌	α̌	NUM
ejpam-6152	167	3	)	)	PUNCT
ejpam-6152	167	4	(	(	PUNCT
ejpam-6152	167	5	2−	2−	NUM
ejpam-6152	167	6	α̌)n(α̌	α̌)n(α̌	NOUN
ejpam-6152	167	7	)	)	PUNCT
ejpam-6152	167	8	(	(	PUNCT
ejpam-6152	167	9	λ2(t	λ2(t	PROPN
ejpam-6152	167	10	,	,	PUNCT
ejpam-6152	167	11	ǔ	ǔ	ADP
ejpam-6152	167	12	,	,	PUNCT
ejpam-6152	167	13	v̌	v̌	NOUN
ejpam-6152	167	14	,	,	PUNCT
ejpam-6152	167	15	w̌	w̌	NOUN
ejpam-6152	167	16	)	)	PUNCT
ejpam-6152	167	17	)	)	PUNCT
ejpam-6152	168	1	+	+	CCONJ
ejpam-6152	168	2	2α̌	2α̌	NUM
ejpam-6152	168	3	(	(	PUNCT
ejpam-6152	168	4	2−	2−	NUM
ejpam-6152	168	5	α̌)n(α̌	α̌)n(α̌	NOUN
ejpam-6152	168	6	)	)	PUNCT
ejpam-6152	169	1	∫	∫	PROPN
ejpam-6152	169	2	t	t	PROPN
ejpam-6152	169	3	0	0	NUM
ejpam-6152	170	1	(	(	PUNCT
ejpam-6152	170	2	λ2(s	λ2(s	NOUN
ejpam-6152	170	3	,	,	PUNCT
ejpam-6152	170	4	ǔ(s	ǔ(s	ADJ
ejpam-6152	170	5	)	)	PUNCT
ejpam-6152	170	6	,	,	PUNCT
ejpam-6152	170	7	v̌(s	v̌(s	PROPN
ejpam-6152	170	8	)	)	PUNCT
ejpam-6152	170	9	,	,	PUNCT
ejpam-6152	170	10	w̌(s	w̌(s	PROPN
ejpam-6152	170	11	)	)	PUNCT
ejpam-6152	170	12	)	)	PUNCT
ejpam-6152	170	13	)	)	PUNCT
ejpam-6152	171	1	ds	ds	PROPN
ejpam-6152	171	2	,	,	PUNCT
ejpam-6152	171	3	w̌	w̌	X
ejpam-6152	171	4	−	−	PROPN
ejpam-6152	171	5	w̌(0	w̌(0	VERB
ejpam-6152	171	6	)	)	PUNCT
ejpam-6152	171	7	=	=	PUNCT
ejpam-6152	172	1	2(1−	2(1−	NUM
ejpam-6152	172	2	α̌	α̌	NUM
ejpam-6152	172	3	)	)	PUNCT
ejpam-6152	172	4	(	(	PUNCT
ejpam-6152	172	5	2−	2−	NUM
ejpam-6152	172	6	α̌)n(α̌	α̌)n(α̌	NOUN
ejpam-6152	172	7	)	)	PUNCT
ejpam-6152	172	8	(	(	PUNCT
ejpam-6152	172	9	λ3(t	λ3(t	X
ejpam-6152	172	10	,	,	PUNCT
ejpam-6152	172	11	ǔ	ǔ	PROPN
ejpam-6152	172	12	,	,	PUNCT
ejpam-6152	172	13	v̌	v̌	NOUN
ejpam-6152	172	14	,	,	PUNCT
ejpam-6152	172	15	w̌	w̌	NOUN
ejpam-6152	172	16	)	)	PUNCT
ejpam-6152	172	17	)	)	PUNCT
ejpam-6152	173	1	+	+	CCONJ
ejpam-6152	173	2	2α̌	2α̌	NUM
ejpam-6152	173	3	(	(	PUNCT
ejpam-6152	173	4	2−	2−	NUM
ejpam-6152	173	5	α̌)n(α̌	α̌)n(α̌	NOUN
ejpam-6152	173	6	)	)	PUNCT
ejpam-6152	174	1	∫	∫	PROPN
ejpam-6152	174	2	t	t	PROPN
ejpam-6152	174	3	0	0	NUM
ejpam-6152	175	1	(	(	PUNCT
ejpam-6152	175	2	λ3(s	λ3(s	PROPN
ejpam-6152	175	3	,	,	PUNCT
ejpam-6152	175	4	ǔ(s	ǔ(s	ADJ
ejpam-6152	175	5	)	)	PUNCT
ejpam-6152	175	6	,	,	PUNCT
ejpam-6152	175	7	v̌(s	v̌(s	PROPN
ejpam-6152	175	8	)	)	PUNCT
ejpam-6152	175	9	,	,	PUNCT
ejpam-6152	175	10	w̌(s	w̌(s	PROPN
ejpam-6152	175	11	)	)	PUNCT
ejpam-6152	175	12	)	)	PUNCT
ejpam-6152	175	13	)	)	PUNCT
ejpam-6152	176	1	ds	ds	PROPN
ejpam-6152	176	2	.	.	PROPN
ejpam-6152	176	3	to	to	PART
ejpam-6152	176	4	establish	establish	VERB
ejpam-6152	176	5	uniqueness	uniqueness	NOUN
ejpam-6152	176	6	,	,	PUNCT
ejpam-6152	176	7	we	we	PRON
ejpam-6152	176	8	analyze	analyze	VERB
ejpam-6152	176	9	the	the	DET
ejpam-6152	176	10	difference	difference	NOUN
ejpam-6152	176	11	between	between	ADP
ejpam-6152	176	12	two	two	NUM
ejpam-6152	176	13	functions	function	NOUN
ejpam-6152	176	14	ǔ	ǔ	ADV
ejpam-6152	176	15	,	,	PUNCT
ejpam-6152	176	16	ǔ′	ǔ′	NOUN
ejpam-6152	176	17	,	,	PUNCT
ejpam-6152	176	18	v̌	v̌	NOUN
ejpam-6152	176	19	,	,	PUNCT
ejpam-6152	176	20	v̌′	v̌′	NOUN
ejpam-6152	176	21	,	,	PUNCT
ejpam-6152	176	22	and	and	CCONJ
ejpam-6152	176	23	w̌	w̌	PROPN
ejpam-6152	176	24	,	,	PUNCT
ejpam-6152	176	25	w̌′	w̌′	NOUN
ejpam-6152	176	26	:	:	PUNCT
ejpam-6152	176	27	∥∥∥λ1(t	∥∥∥λ1(t	NUM
ejpam-6152	176	28	,	,	PUNCT
ejpam-6152	176	29	ǔ	ǔ	ADP
ejpam-6152	176	30	,	,	PUNCT
ejpam-6152	176	31	v̌	v̌	NOUN
ejpam-6152	176	32	,	,	PUNCT
ejpam-6152	176	33	w̌)−	w̌)−	X
ejpam-6152	176	34	λ1(t	λ1(t	PROPN
ejpam-6152	176	35	,	,	PUNCT
ejpam-6152	176	36	ǔ	ǔ	PROPN
ejpam-6152	176	37	′	′	NUM
ejpam-6152	176	38	,	,	PUNCT
ejpam-6152	176	39	v̌′	v̌′	NOUN
ejpam-6152	176	40	,	,	PUNCT
ejpam-6152	176	41	w̌′	w̌′	NOUN
ejpam-6152	176	42	)	)	PUNCT
ejpam-6152	176	43	∥∥∥	∥∥∥	PROPN
ejpam-6152	176	44	≤	≤	PROPN
ejpam-6152	176	45	h1	h1	VERB
ejpam-6152	176	46	∥∥∥ǔ−	∥∥∥ǔ−	PROPN
ejpam-6152	176	47	ǔ′	ǔ′	PROPN
ejpam-6152	177	1	∥∥∥+h2	∥∥∥+h2	PROPN
ejpam-6152	177	2	∥∥∥v̌	∥∥∥v̌	NOUN
ejpam-6152	177	3	−	−	PROPN
ejpam-6152	177	4	v̌′	v̌′	NOUN
ejpam-6152	177	5	∥∥∥+h3	∥∥∥+h3	PROPN
ejpam-6152	177	6	∥∥∥w̌	∥∥∥w̌	PROPN
ejpam-6152	177	7	−	−	PROPN
ejpam-6152	177	8	w̌′	w̌′	NOUN
ejpam-6152	177	9	∥∥∥	∥∥∥	PROPN
ejpam-6152	177	10	,	,	PUNCT
ejpam-6152	177	11	where	where	SCONJ
ejpam-6152	177	12	h1	h1	PROPN
ejpam-6152	177	13	,	,	PUNCT
ejpam-6152	177	14	h2	h2	NOUN
ejpam-6152	177	15	,	,	PUNCT
ejpam-6152	177	16	and	and	CCONJ
ejpam-6152	177	17	h3	h3	NOUN
ejpam-6152	177	18	are	be	AUX
ejpam-6152	177	19	constants	constant	NOUN
ejpam-6152	177	20	derived	derive	VERB
ejpam-6152	177	21	using	use	VERB
ejpam-6152	177	22	the	the	DET
ejpam-6152	177	23	cauchy	cauchy	PROPN
ejpam-6152	177	24	-	-	PUNCT
ejpam-6152	177	25	schwarz	schwarz	PROPN
ejpam-6152	177	26	inequality	inequality	NOUN
ejpam-6152	177	27	and	and	CCONJ
ejpam-6152	177	28	are	be	AUX
ejpam-6152	177	29	given	give	VERB
ejpam-6152	177	30	by	by	ADP
ejpam-6152	177	31	:	:	PUNCT
ejpam-6152	177	32	h1	h1	PROPN
ejpam-6152	177	33	=	=	SYM
ejpam-6152	177	34	|d1	|d1	NOUN
ejpam-6152	177	35	|+	|+	NOUN
ejpam-6152	177	36	|d2	|d2	NOUN
ejpam-6152	178	1	|	|	ADV
ejpam-6152	178	2	sup	sup	NOUN
ejpam-6152	178	3	|v̌|	|v̌|	NOUN
ejpam-6152	178	4	,	,	PUNCT
ejpam-6152	178	5	h2	h2	PROPN
ejpam-6152	178	6	=	=	SYM
ejpam-6152	178	7	|d2	|d2	NOUN
ejpam-6152	179	1	|	|	ADV
ejpam-6152	179	2	sup	sup	NOUN
ejpam-6152	179	3	|ǔ|+	|ǔ|+	X
ejpam-6152	179	4	2|d3	2|d3	NUM
ejpam-6152	180	1	|	|	ADV
ejpam-6152	180	2	sup	sup	VERB
ejpam-6152	180	3	|v̌|+	|v̌|+	NOUN
ejpam-6152	180	4	3|d4	3|d4	INTJ
ejpam-6152	181	1	|	|	ADV
ejpam-6152	181	2	sup	sup	NOUN
ejpam-6152	181	3	|v̌|2	|v̌|2	NOUN
ejpam-6152	181	4	,	,	PUNCT
ejpam-6152	181	5	h3	h3	NOUN
ejpam-6152	181	6	=	=	SYM
ejpam-6152	181	7	|d5	|d5	PROPN
ejpam-6152	181	8	|+	|+	NOUN
ejpam-6152	181	9	2|d6	2|d6	NUM
ejpam-6152	181	10	|	|	CCONJ
ejpam-6152	181	11	sup	sup	NOUN
ejpam-6152	181	12	|w̌|+	|w̌|+	NOUN
ejpam-6152	181	13	3|	3|	NUM
ejpam-6152	181	14	d7	d7	PROPN
ejpam-6152	181	15	|	|	ADV
ejpam-6152	181	16	sup	sup	NOUN
ejpam-6152	181	17	|w̌|2	|w̌|2	PROPN
ejpam-6152	181	18	.	.	PUNCT
ejpam-6152	182	1	if	if	SCONJ
ejpam-6152	182	2	h	h	NOUN
ejpam-6152	182	3	=	=	SYM
ejpam-6152	182	4	max(h1	max(h1	PROPN
ejpam-6152	182	5	,	,	PUNCT
ejpam-6152	182	6	h2	h2	NOUN
ejpam-6152	182	7	,	,	PUNCT
ejpam-6152	182	8	h3	h3	NOUN
ejpam-6152	182	9	)	)	PUNCT
ejpam-6152	182	10	satisfies	satisfie	NOUN
ejpam-6152	182	11	h	h	NOUN
ejpam-6152	182	12	<	<	X
ejpam-6152	182	13	1	1	NUM
ejpam-6152	182	14	,	,	PUNCT
ejpam-6152	182	15	the	the	DET
ejpam-6152	182	16	banach	banach	ADV
ejpam-6152	182	17	fixed	fix	VERB
ejpam-6152	182	18	-	-	PUNCT
ejpam-6152	182	19	point	point	NOUN
ejpam-6152	182	20	theorem	theorem	NOUN
ejpam-6152	182	21	ensures	ensure	VERB
ejpam-6152	182	22	a	a	DET
ejpam-6152	182	23	unique	unique	ADJ
ejpam-6152	182	24	solution	solution	NOUN
ejpam-6152	182	25	exists	exist	VERB
ejpam-6152	182	26	.	.	PUNCT
ejpam-6152	183	1	this	this	PRON
ejpam-6152	183	2	proves	prove	VERB
ejpam-6152	183	3	that	that	SCONJ
ejpam-6152	183	4	the	the	DET
ejpam-6152	183	5	system	system	NOUN
ejpam-6152	183	6	admits	admit	VERB
ejpam-6152	183	7	a	a	DET
ejpam-6152	183	8	unique	unique	ADJ
ejpam-6152	183	9	solution	solution	NOUN
ejpam-6152	183	10	in	in	ADP
ejpam-6152	183	11	the	the	DET
ejpam-6152	183	12	considered	consider	VERB
ejpam-6152	183	13	function	function	NOUN
ejpam-6152	183	14	space	space	NOUN
ejpam-6152	183	15	.	.	PUNCT
ejpam-6152	184	1	5	5	X
ejpam-6152	184	2	.	.	X
ejpam-6152	184	3	stability	stability	NOUN
ejpam-6152	184	4	analysis	analysis	NOUN
ejpam-6152	184	5	of	of	ADP
ejpam-6152	184	6	iterative	iterative	NOUN
ejpam-6152	184	7	method	method	NOUN
ejpam-6152	184	8	we	we	PRON
ejpam-6152	184	9	use	use	VERB
ejpam-6152	184	10	an	an	DET
ejpam-6152	184	11	iterative	iterative	NOUN
ejpam-6152	184	12	formula	formula	NOUN
ejpam-6152	184	13	using	use	VERB
ejpam-6152	184	14	the	the	DET
ejpam-6152	184	15	sumudu	sumudu	NOUN
ejpam-6152	184	16	transform	transform	NOUN
ejpam-6152	185	1	[	[	X
ejpam-6152	185	2	31–33	31–33	NUM
ejpam-6152	185	3	]	]	PUNCT
ejpam-6152	185	4	to	to	PART
ejpam-6152	185	5	analyze	analyze	VERB
ejpam-6152	185	6	the	the	DET
ejpam-6152	185	7	stability	stability	NOUN
ejpam-6152	185	8	of	of	ADP
ejpam-6152	185	9	the	the	DET
ejpam-6152	185	10	fractional	fractional	ADJ
ejpam-6152	185	11	-	-	PUNCT
ejpam-6152	185	12	order	order	NOUN
ejpam-6152	185	13	system	system	NOUN
ejpam-6152	185	14	(	(	PUNCT
ejpam-6152	185	15	1	1	NUM
ejpam-6152	185	16	)	)	PUNCT
ejpam-6152	185	17	.	.	PUNCT
ejpam-6152	186	1	using	use	VERB
ejpam-6152	186	2	the	the	DET
ejpam-6152	186	3	sumudu	sumudu	NOUN
ejpam-6152	186	4	transform	transform	NOUN
ejpam-6152	186	5	,	,	PUNCT
ejpam-6152	186	6	we	we	PRON
ejpam-6152	186	7	obtain	obtain	VERB
ejpam-6152	186	8	:	:	PUNCT
ejpam-6152	186	9	st	st	PROPN
ejpam-6152	186	10	[	[	PUNCT
ejpam-6152	186	11	cfd	cfd	NOUN
ejpam-6152	186	12	α̌	α̌	X
ejpam-6152	186	13	0,tǔ	0,tǔ	NUM
ejpam-6152	186	14	]	]	PUNCT
ejpam-6152	186	15	(	(	PUNCT
ejpam-6152	186	16	s	s	X
ejpam-6152	186	17	)	)	PUNCT
ejpam-6152	186	18	=	=	SYM
ejpam-6152	186	19	st	st	PROPN
ejpam-6152	186	20	[	[	PUNCT
ejpam-6152	186	21	−	−	PUNCT
ejpam-6152	186	22	d1	d1	PROPN
ejpam-6152	186	23	ǔ+	ǔ+	PROPN
ejpam-6152	186	24	d2	d2	PROPN
ejpam-6152	186	25	ǔv̌	ǔv̌	PROPN
ejpam-6152	186	26	+	+	PROPN
ejpam-6152	186	27	d3	d3	PROPN
ejpam-6152	186	28	v̌	v̌	X
ejpam-6152	186	29	2	2	NUM
ejpam-6152	186	30	+	+	CCONJ
ejpam-6152	186	31	d4	d4	PROPN
ejpam-6152	186	32	v̌	v̌	NOUN
ejpam-6152	186	33	3	3	NUM
ejpam-6152	186	34	+	+	NUM
ejpam-6152	186	35	d5	d5	NOUN
ejpam-6152	186	36	w̌	w̌	NOUN
ejpam-6152	186	37	+	+	CCONJ
ejpam-6152	186	38	d6	d6	NOUN
ejpam-6152	186	39	w̌	w̌	X
ejpam-6152	186	40	2	2	NUM
ejpam-6152	186	41	+	+	CCONJ
ejpam-6152	186	42	d7	d7	PROPN
ejpam-6152	186	43	w̌	w̌	X
ejpam-6152	186	44	3	3	NUM
ejpam-6152	186	45	+	+	CCONJ
ejpam-6152	186	46	d20	d20	X
ejpam-6152	186	47	]	]	PUNCT
ejpam-6152	186	48	(	(	PUNCT
ejpam-6152	186	49	s	s	NOUN
ejpam-6152	186	50	)	)	PUNCT
ejpam-6152	186	51	,	,	PUNCT
ejpam-6152	186	52	st	st	PROPN
ejpam-6152	187	1	[	[	PUNCT
ejpam-6152	187	2	cfd	cfd	NOUN
ejpam-6152	187	3	α̌	α̌	NUM
ejpam-6152	187	4	0,tv̌	0,tv̌	NOUN
ejpam-6152	187	5	]	]	PUNCT
ejpam-6152	187	6	(	(	PUNCT
ejpam-6152	187	7	s	s	X
ejpam-6152	187	8	)	)	PUNCT
ejpam-6152	187	9	=	=	SYM
ejpam-6152	187	10	st	st	PROPN
ejpam-6152	188	1	[	[	PUNCT
ejpam-6152	188	2	−	−	PROPN
ejpam-6152	188	3	d8	d8	PROPN
ejpam-6152	188	4	ǔv̌	ǔv̌	PROPN
ejpam-6152	188	5	−	−	PROPN
ejpam-6152	188	6	d9	d9	PROPN
ejpam-6152	188	7	ǔ	ǔ	PROPN
ejpam-6152	188	8	2	2	NUM
ejpam-6152	188	9	−	−	PROPN
ejpam-6152	188	10	d10	d10	PROPN
ejpam-6152	188	11	ǔ	ǔ	PROPN
ejpam-6152	188	12	3	3	NUM
ejpam-6152	188	13	+	+	CCONJ
ejpam-6152	188	14	d11	d11	PROPN
ejpam-6152	188	15	v̌(1−	v̌(1−	PROPN
ejpam-6152	188	16	v̌)−	v̌)−	X
ejpam-6152	188	17	d12	d12	X
ejpam-6152	188	18	w̌	w̌	X
ejpam-6152	188	19	−	−	NOUN
ejpam-6152	188	20	d13	d13	NOUN
ejpam-6152	188	21	w̌	w̌	NOUN
ejpam-6152	188	22	2	2	NUM
ejpam-6152	188	23	−	−	NOUN
ejpam-6152	188	24	d14	d14	NOUN
ejpam-6152	188	25	w̌	w̌	PUNCT
ejpam-6152	188	26	3	3	NUM
ejpam-6152	188	27	+	+	NOUN
ejpam-6152	188	28	d21	d21	X
ejpam-6152	188	29	]	]	PUNCT
ejpam-6152	188	30	(	(	PUNCT
ejpam-6152	188	31	s	s	NOUN
ejpam-6152	188	32	)	)	PUNCT
ejpam-6152	188	33	,	,	PUNCT
ejpam-6152	188	34	st	st	PROPN
ejpam-6152	188	35	[	[	PUNCT
ejpam-6152	188	36	cfd	cfd	NOUN
ejpam-6152	188	37	α̌	α̌	PUNCT
ejpam-6152	188	38	0,tw̌	0,tw̌	NOUN
ejpam-6152	188	39	]	]	PUNCT
ejpam-6152	188	40	(	(	PUNCT
ejpam-6152	188	41	s	s	X
ejpam-6152	188	42	)	)	PUNCT
ejpam-6152	188	43	=	=	SYM
ejpam-6152	188	44	st	st	PROPN
ejpam-6152	188	45	[	[	PUNCT
ejpam-6152	188	46	d15	d15	NOUN
ejpam-6152	188	47	v̌	v̌	NOUN
ejpam-6152	188	48	+	+	CCONJ
ejpam-6152	188	49	d16	d16	ADJ
ejpam-6152	188	50	v̌	v̌	NOUN
ejpam-6152	188	51	2	2	NUM
ejpam-6152	188	52	+	+	NUM
ejpam-6152	188	53	d17	d17	NOUN
ejpam-6152	188	54	v̌	v̌	ADP
ejpam-6152	188	55	3	3	NUM
ejpam-6152	188	56	−	−	NOUN
ejpam-6152	188	57	d18	d18	NOUN
ejpam-6152	188	58	w̌	w̌	NOUN
ejpam-6152	188	59	−	−	NOUN
ejpam-6152	188	60	d19	d19	PROPN
ejpam-6152	188	61	v̌w̌	v̌w̌	PROPN
ejpam-6152	188	62	]	]	PUNCT
ejpam-6152	188	63	(	(	PUNCT
ejpam-6152	188	64	s	s	NOUN
ejpam-6152	188	65	)	)	PUNCT
ejpam-6152	188	66	.	.	PUNCT
ejpam-6152	189	1	s.	s.	PROPN
ejpam-6152	189	2	saber	saber	PROPN
ejpam-6152	189	3	et	et	PROPN
ejpam-6152	189	4	al	al	PROPN
ejpam-6152	189	5	.	.	PUNCT
ejpam-6152	189	6	/	/	SYM
ejpam-6152	189	7	eur	eur	PROPN
ejpam-6152	189	8	.	.	PUNCT
ejpam-6152	190	1	j.	j.	PROPN
ejpam-6152	190	2	pure	pure	PROPN
ejpam-6152	190	3	appl	appl	PROPN
ejpam-6152	190	4	.	.	PROPN
ejpam-6152	190	5	math	math	PROPN
ejpam-6152	190	6	,	,	PUNCT
ejpam-6152	190	7	18	18	NUM
ejpam-6152	190	8	(	(	PUNCT
ejpam-6152	190	9	2	2	NUM
ejpam-6152	190	10	)	)	PUNCT
ejpam-6152	190	11	(	(	PUNCT
ejpam-6152	190	12	2025	2025	NUM
ejpam-6152	190	13	)	)	PUNCT
ejpam-6152	190	14	,	,	PUNCT
ejpam-6152	190	15	6152	6152	NUM
ejpam-6152	190	16	8	8	NUM
ejpam-6152	190	17	of	of	ADP
ejpam-6152	190	18	24	24	NUM
ejpam-6152	190	19	according	accord	VERB
ejpam-6152	190	20	to	to	ADP
ejpam-6152	190	21	the	the	DET
ejpam-6152	190	22	sumudu	sumudu	NOUN
ejpam-6152	190	23	transform	transform	NOUN
ejpam-6152	190	24	for	for	ADP
ejpam-6152	190	25	the	the	DET
ejpam-6152	190	26	caputo	caputo	PROPN
ejpam-6152	190	27	-	-	PUNCT
ejpam-6152	190	28	fabrizio	fabrizio	PROPN
ejpam-6152	190	29	derivative	derivative	NOUN
ejpam-6152	190	30	,	,	PUNCT
ejpam-6152	190	31	the	the	DET
ejpam-6152	190	32	system	system	NOUN
ejpam-6152	190	33	is	be	AUX
ejpam-6152	190	34	:	:	PUNCT
ejpam-6152	190	35	n(α̌	n(α̌	NUM
ejpam-6152	190	36	)	)	PUNCT
ejpam-6152	190	37	1−	1−	NUM
ejpam-6152	191	1	α̌+	α̌+	PROPN
ejpam-6152	191	2	α̌s	α̌s	PROPN
ejpam-6152	191	3	(	(	PUNCT
ejpam-6152	191	4	st[ǔ](s)−	st[ǔ](s)−	ADV
ejpam-6152	191	5	ǔ(0	ǔ(0	NUM
ejpam-6152	191	6	)	)	PUNCT
ejpam-6152	191	7	)	)	PUNCT
ejpam-6152	192	1	=	=	SYM
ejpam-6152	192	2	st	st	PROPN
ejpam-6152	192	3	[	[	PUNCT
ejpam-6152	192	4	−	−	PUNCT
ejpam-6152	192	5	d1	d1	PROPN
ejpam-6152	192	6	ǔ+	ǔ+	PROPN
ejpam-6152	192	7	d2	d2	PROPN
ejpam-6152	192	8	ǔv̌	ǔv̌	PROPN
ejpam-6152	192	9	+	+	PROPN
ejpam-6152	192	10	d3	d3	PROPN
ejpam-6152	192	11	v̌	v̌	X
ejpam-6152	192	12	2	2	NUM
ejpam-6152	192	13	+	+	CCONJ
ejpam-6152	192	14	d4	d4	PROPN
ejpam-6152	192	15	v̌	v̌	NOUN
ejpam-6152	192	16	3	3	NUM
ejpam-6152	192	17	+	+	NUM
ejpam-6152	192	18	d5	d5	NOUN
ejpam-6152	192	19	w̌	w̌	NOUN
ejpam-6152	192	20	+	+	CCONJ
ejpam-6152	192	21	d6	d6	NOUN
ejpam-6152	192	22	w̌	w̌	X
ejpam-6152	192	23	2	2	NUM
ejpam-6152	192	24	+	+	CCONJ
ejpam-6152	192	25	d7	d7	PROPN
ejpam-6152	192	26	w̌	w̌	X
ejpam-6152	192	27	3	3	NUM
ejpam-6152	192	28	+	+	CCONJ
ejpam-6152	192	29	d20	d20	X
ejpam-6152	192	30	]	]	PUNCT
ejpam-6152	192	31	(	(	PUNCT
ejpam-6152	192	32	s	s	NOUN
ejpam-6152	192	33	)	)	PUNCT
ejpam-6152	192	34	,	,	PUNCT
ejpam-6152	192	35	n(α̌	n(α̌	NOUN
ejpam-6152	192	36	)	)	PUNCT
ejpam-6152	192	37	1−	1−	NUM
ejpam-6152	193	1	α̌+	α̌+	PROPN
ejpam-6152	193	2	α̌s	α̌s	PROPN
ejpam-6152	193	3	(	(	PUNCT
ejpam-6152	193	4	st[v̌](s)−	st[v̌](s)−	INTJ
ejpam-6152	193	5	v̌(0	v̌(0	NOUN
ejpam-6152	193	6	)	)	PUNCT
ejpam-6152	193	7	)	)	PUNCT
ejpam-6152	194	1	=	=	SYM
ejpam-6152	194	2	st	st	PROPN
ejpam-6152	194	3	[	[	PUNCT
ejpam-6152	194	4	−	−	PROPN
ejpam-6152	194	5	d8	d8	PROPN
ejpam-6152	194	6	ǔv̌	ǔv̌	PROPN
ejpam-6152	194	7	−	−	PROPN
ejpam-6152	194	8	d9	d9	PROPN
ejpam-6152	194	9	ǔ	ǔ	PROPN
ejpam-6152	194	10	2	2	NUM
ejpam-6152	194	11	−	−	PROPN
ejpam-6152	194	12	d10	d10	PROPN
ejpam-6152	194	13	ǔ	ǔ	PROPN
ejpam-6152	194	14	3	3	NUM
ejpam-6152	194	15	+	+	CCONJ
ejpam-6152	194	16	d11	d11	PROPN
ejpam-6152	194	17	v̌(1−	v̌(1−	PROPN
ejpam-6152	194	18	v̌)−	v̌)−	X
ejpam-6152	194	19	d12	d12	X
ejpam-6152	195	1	w̌	w̌	X
ejpam-6152	195	2	−	−	NOUN
ejpam-6152	195	3	d13	d13	NOUN
ejpam-6152	195	4	w̌	w̌	NOUN
ejpam-6152	195	5	2	2	NUM
ejpam-6152	195	6	−	−	NOUN
ejpam-6152	195	7	d14	d14	NOUN
ejpam-6152	195	8	w̌	w̌	PUNCT
ejpam-6152	195	9	3	3	NUM
ejpam-6152	195	10	+	+	NOUN
ejpam-6152	195	11	d21	d21	X
ejpam-6152	195	12	]	]	PUNCT
ejpam-6152	195	13	(	(	PUNCT
ejpam-6152	195	14	s	s	NOUN
ejpam-6152	195	15	)	)	PUNCT
ejpam-6152	195	16	,	,	PUNCT
ejpam-6152	195	17	n(α̌	n(α̌	NOUN
ejpam-6152	195	18	)	)	PUNCT
ejpam-6152	195	19	1−	1−	NUM
ejpam-6152	196	1	α̌+	α̌+	PROPN
ejpam-6152	196	2	α̌s	α̌s	PROPN
ejpam-6152	196	3	(	(	PUNCT
ejpam-6152	196	4	st[w̌](s)−	st[w̌](s)−	PROPN
ejpam-6152	196	5	w̌(0	w̌(0	VERB
ejpam-6152	196	6	)	)	PUNCT
ejpam-6152	196	7	)	)	PUNCT
ejpam-6152	197	1	=	=	SYM
ejpam-6152	197	2	st	st	PROPN
ejpam-6152	198	1	[	[	PUNCT
ejpam-6152	198	2	d15	d15	NOUN
ejpam-6152	198	3	v̌	v̌	NOUN
ejpam-6152	198	4	+	+	CCONJ
ejpam-6152	198	5	d16	d16	ADJ
ejpam-6152	198	6	v̌	v̌	NOUN
ejpam-6152	198	7	2	2	NUM
ejpam-6152	198	8	+	+	NUM
ejpam-6152	198	9	d17	d17	NOUN
ejpam-6152	198	10	v̌	v̌	ADP
ejpam-6152	198	11	3	3	NUM
ejpam-6152	198	12	−	−	NOUN
ejpam-6152	198	13	d18	d18	NOUN
ejpam-6152	198	14	w̌	w̌	NOUN
ejpam-6152	198	15	−	−	NOUN
ejpam-6152	198	16	d19	d19	PROPN
ejpam-6152	198	17	v̌w̌	v̌w̌	PROPN
ejpam-6152	198	18	]	]	PUNCT
ejpam-6152	198	19	(	(	PUNCT
ejpam-6152	198	20	s	s	NOUN
ejpam-6152	198	21	)	)	PUNCT
ejpam-6152	198	22	.	.	PUNCT
ejpam-6152	199	1	by	by	ADP
ejpam-6152	199	2	rewriting	rewrite	VERB
ejpam-6152	199	3	these	these	DET
ejpam-6152	199	4	equations	equation	NOUN
ejpam-6152	199	5	,	,	PUNCT
ejpam-6152	199	6	we	we	PRON
ejpam-6152	199	7	get	get	VERB
ejpam-6152	199	8	:	:	PUNCT
ejpam-6152	199	9	st[ǔ](s	st[ǔ](s	NOUN
ejpam-6152	199	10	)	)	PUNCT
ejpam-6152	199	11	=	=	SYM
ejpam-6152	200	1	ǔ(0	ǔ(0	X
ejpam-6152	200	2	)	)	PUNCT
ejpam-6152	201	1	+	+	NUM
ejpam-6152	201	2	1−	1−	NUM
ejpam-6152	201	3	α̌+	α̌+	PROPN
ejpam-6152	201	4	α̌s	α̌s	PROPN
ejpam-6152	201	5	n(α̌	n(α̌	NOUN
ejpam-6152	201	6	)	)	PUNCT
ejpam-6152	201	7	st	st	PROPN
ejpam-6152	201	8	[	[	PUNCT
ejpam-6152	201	9	−	−	PUNCT
ejpam-6152	201	10	d1	d1	PROPN
ejpam-6152	201	11	ǔ+	ǔ+	PROPN
ejpam-6152	201	12	d2	d2	PROPN
ejpam-6152	201	13	ǔv̌	ǔv̌	PROPN
ejpam-6152	201	14	+	+	PROPN
ejpam-6152	201	15	d3	d3	PROPN
ejpam-6152	201	16	v̌	v̌	X
ejpam-6152	201	17	2	2	NUM
ejpam-6152	201	18	+	+	CCONJ
ejpam-6152	201	19	d4	d4	PROPN
ejpam-6152	201	20	v̌	v̌	NOUN
ejpam-6152	201	21	3	3	NUM
ejpam-6152	201	22	+	+	NUM
ejpam-6152	201	23	d5	d5	NOUN
ejpam-6152	201	24	w̌	w̌	NOUN
ejpam-6152	201	25	+	+	CCONJ
ejpam-6152	201	26	d6	d6	NOUN
ejpam-6152	201	27	w̌	w̌	X
ejpam-6152	201	28	2	2	NUM
ejpam-6152	201	29	+	+	CCONJ
ejpam-6152	201	30	d7	d7	PROPN
ejpam-6152	201	31	w̌	w̌	X
ejpam-6152	201	32	3	3	NUM
ejpam-6152	201	33	+	+	CCONJ
ejpam-6152	201	34	d20	d20	X
ejpam-6152	201	35	]	]	PUNCT
ejpam-6152	201	36	(	(	PUNCT
ejpam-6152	201	37	s	s	NOUN
ejpam-6152	201	38	)	)	PUNCT
ejpam-6152	201	39	,	,	PUNCT
ejpam-6152	201	40	st[v̌](s	st[v̌](s	PROPN
ejpam-6152	201	41	)	)	PUNCT
ejpam-6152	201	42	=	=	PUNCT
ejpam-6152	202	1	v̌(0	v̌(0	PROPN
ejpam-6152	202	2	)	)	PUNCT
ejpam-6152	202	3	+	+	NUM
ejpam-6152	202	4	1−	1−	NUM
ejpam-6152	202	5	α̌+	α̌+	PROPN
ejpam-6152	202	6	α̌s	α̌s	PROPN
ejpam-6152	202	7	n(α̌	n(α̌	NOUN
ejpam-6152	202	8	)	)	PUNCT
ejpam-6152	202	9	st	st	PROPN
ejpam-6152	203	1	[	[	PUNCT
ejpam-6152	203	2	−	−	PROPN
ejpam-6152	203	3	d8	d8	PROPN
ejpam-6152	203	4	ǔv̌	ǔv̌	PROPN
ejpam-6152	203	5	−	−	PROPN
ejpam-6152	203	6	d9	d9	PROPN
ejpam-6152	203	7	ǔ	ǔ	PROPN
ejpam-6152	203	8	2	2	NUM
ejpam-6152	203	9	−	−	PROPN
ejpam-6152	203	10	d10	d10	PROPN
ejpam-6152	203	11	ǔ	ǔ	PROPN
ejpam-6152	203	12	3	3	NUM
ejpam-6152	203	13	+	+	CCONJ
ejpam-6152	203	14	d11	d11	PROPN
ejpam-6152	203	15	v̌(1−	v̌(1−	PROPN
ejpam-6152	203	16	v̌)−	v̌)−	X
ejpam-6152	203	17	d12	d12	X
ejpam-6152	203	18	w̌	w̌	X
ejpam-6152	203	19	−	−	NOUN
ejpam-6152	203	20	d13	d13	NOUN
ejpam-6152	203	21	w̌	w̌	NOUN
ejpam-6152	203	22	2	2	NUM
ejpam-6152	203	23	−	−	NOUN
ejpam-6152	203	24	d14	d14	NOUN
ejpam-6152	203	25	w̌	w̌	PUNCT
ejpam-6152	203	26	3	3	NUM
ejpam-6152	203	27	+	+	NOUN
ejpam-6152	203	28	d21	d21	X
ejpam-6152	203	29	]	]	PUNCT
ejpam-6152	203	30	(	(	PUNCT
ejpam-6152	203	31	s	s	NOUN
ejpam-6152	203	32	)	)	PUNCT
ejpam-6152	203	33	,	,	PUNCT
ejpam-6152	203	34	st[w̌](s	st[w̌](s	NOUN
ejpam-6152	203	35	)	)	PUNCT
ejpam-6152	203	36	=	=	PRON
ejpam-6152	203	37	w̌(0	w̌(0	X
ejpam-6152	203	38	)	)	PUNCT
ejpam-6152	203	39	+	+	NUM
ejpam-6152	203	40	1−	1−	NUM
ejpam-6152	203	41	α̌+	α̌+	PROPN
ejpam-6152	203	42	α̌s	α̌s	PROPN
ejpam-6152	203	43	n(α̌	n(α̌	NOUN
ejpam-6152	203	44	)	)	PUNCT
ejpam-6152	203	45	st	st	PROPN
ejpam-6152	203	46	[	[	PUNCT
ejpam-6152	203	47	d15	d15	NOUN
ejpam-6152	203	48	v̌	v̌	NOUN
ejpam-6152	203	49	+	+	CCONJ
ejpam-6152	203	50	d16	d16	ADJ
ejpam-6152	203	51	v̌	v̌	NOUN
ejpam-6152	203	52	2	2	NUM
ejpam-6152	203	53	+	+	NUM
ejpam-6152	203	54	d17	d17	NOUN
ejpam-6152	203	55	v̌	v̌	ADP
ejpam-6152	203	56	3	3	NUM
ejpam-6152	203	57	−	−	NOUN
ejpam-6152	203	58	d18	d18	NOUN
ejpam-6152	203	59	w̌	w̌	NOUN
ejpam-6152	203	60	−	−	NOUN
ejpam-6152	203	61	d19	d19	PROPN
ejpam-6152	203	62	v̌w̌	v̌w̌	PROPN
ejpam-6152	203	63	]	]	PUNCT
ejpam-6152	203	64	(	(	PUNCT
ejpam-6152	203	65	s	s	NOUN
ejpam-6152	203	66	)	)	PUNCT
ejpam-6152	203	67	.	.	PUNCT
ejpam-6152	204	1	the	the	DET
ejpam-6152	204	2	iterative	iterative	NOUN
ejpam-6152	204	3	scheme	scheme	NOUN
ejpam-6152	204	4	is	be	AUX
ejpam-6152	204	5	obtained	obtain	VERB
ejpam-6152	204	6	using	use	VERB
ejpam-6152	204	7	the	the	DET
ejpam-6152	204	8	inverse	inverse	NOUN
ejpam-6152	204	9	sumudu	sumudu	NOUN
ejpam-6152	204	10	transform	transform	NOUN
ejpam-6152	204	11	:	:	PUNCT
ejpam-6152	204	12	ǔn+1	ǔn+1	ADJ
ejpam-6152	204	13	=	=	SYM
ejpam-6152	204	14	ǔn(0	ǔn(0	PROPN
ejpam-6152	204	15	)	)	PUNCT
ejpam-6152	205	1	+	+	CCONJ
ejpam-6152	205	2	st−1	st−1	PROPN
ejpam-6152	205	3	[	[	X
ejpam-6152	205	4	1−	1−	NUM
ejpam-6152	205	5	α̌+	α̌+	PROPN
ejpam-6152	205	6	α̌s	α̌s	PROPN
ejpam-6152	205	7	n(α̌	n(α̌	NOUN
ejpam-6152	205	8	)	)	PUNCT
ejpam-6152	205	9	st	st	PROPN
ejpam-6152	206	1	[	[	PUNCT
ejpam-6152	206	2	−	−	PUNCT
ejpam-6152	206	3	d1	d1	PROPN
ejpam-6152	206	4	ǔ+	ǔ+	PROPN
ejpam-6152	206	5	d2	d2	PROPN
ejpam-6152	206	6	ǔv̌	ǔv̌	PROPN
ejpam-6152	206	7	+	+	PROPN
ejpam-6152	206	8	d3	d3	PROPN
ejpam-6152	206	9	v̌	v̌	X
ejpam-6152	206	10	2	2	NUM
ejpam-6152	206	11	+	+	CCONJ
ejpam-6152	206	12	d4	d4	PROPN
ejpam-6152	206	13	v̌	v̌	NOUN
ejpam-6152	206	14	3	3	NUM
ejpam-6152	206	15	+	+	NUM
ejpam-6152	206	16	d5	d5	NOUN
ejpam-6152	206	17	w̌	w̌	NOUN
ejpam-6152	206	18	+	+	CCONJ
ejpam-6152	206	19	d6	d6	NOUN
ejpam-6152	206	20	w̌	w̌	X
ejpam-6152	206	21	2	2	NUM
ejpam-6152	206	22	+	+	CCONJ
ejpam-6152	206	23	d7	d7	PROPN
ejpam-6152	206	24	w̌	w̌	X
ejpam-6152	206	25	3	3	NUM
ejpam-6152	206	26	+	+	CCONJ
ejpam-6152	206	27	d20	d20	X
ejpam-6152	206	28	]	]	PUNCT
ejpam-6152	206	29	(	(	PUNCT
ejpam-6152	206	30	s	s	NOUN
ejpam-6152	206	31	)	)	PUNCT
ejpam-6152	206	32	,	,	PUNCT
ejpam-6152	206	33	v̌n+1	v̌n+1	NOUN
ejpam-6152	206	34	=	=	SYM
ejpam-6152	206	35	v̌n(0	v̌n(0	NOUN
ejpam-6152	206	36	)	)	PUNCT
ejpam-6152	207	1	+	+	CCONJ
ejpam-6152	207	2	st−1	st−1	PROPN
ejpam-6152	207	3	[	[	X
ejpam-6152	207	4	1−	1−	NUM
ejpam-6152	207	5	α̌+	α̌+	PROPN
ejpam-6152	207	6	α̌s	α̌s	PROPN
ejpam-6152	207	7	n(α̌	n(α̌	NOUN
ejpam-6152	207	8	)	)	PUNCT
ejpam-6152	207	9	st	st	PROPN
ejpam-6152	208	1	[	[	PUNCT
ejpam-6152	208	2	−	−	PROPN
ejpam-6152	208	3	d8	d8	PROPN
ejpam-6152	208	4	ǔv̌	ǔv̌	PROPN
ejpam-6152	208	5	−	−	PROPN
ejpam-6152	208	6	d9	d9	PROPN
ejpam-6152	208	7	ǔ	ǔ	PROPN
ejpam-6152	208	8	2	2	NUM
ejpam-6152	208	9	−	−	PROPN
ejpam-6152	208	10	d10	d10	PROPN
ejpam-6152	208	11	ǔ	ǔ	PROPN
ejpam-6152	208	12	3	3	NUM
ejpam-6152	208	13	+	+	CCONJ
ejpam-6152	208	14	d11	d11	PROPN
ejpam-6152	208	15	v̌(1−	v̌(1−	PROPN
ejpam-6152	208	16	v̌)−	v̌)−	X
ejpam-6152	208	17	d12	d12	X
ejpam-6152	208	18	w̌	w̌	X
ejpam-6152	208	19	−	−	NOUN
ejpam-6152	208	20	d13	d13	NOUN
ejpam-6152	208	21	w̌	w̌	NOUN
ejpam-6152	208	22	2	2	NUM
ejpam-6152	208	23	−	−	NOUN
ejpam-6152	208	24	d14	d14	NOUN
ejpam-6152	208	25	w̌	w̌	PUNCT
ejpam-6152	208	26	3	3	NUM
ejpam-6152	208	27	+	+	NOUN
ejpam-6152	208	28	d21	d21	X
ejpam-6152	208	29	]	]	PUNCT
ejpam-6152	208	30	(	(	PUNCT
ejpam-6152	208	31	s	s	NOUN
ejpam-6152	208	32	)	)	PUNCT
ejpam-6152	208	33	,	,	PUNCT
ejpam-6152	208	34	w̌n+1	w̌n+1	VERB
ejpam-6152	208	35	=	=	NOUN
ejpam-6152	208	36	w̌n(0	w̌n(0	NOUN
ejpam-6152	208	37	)	)	PUNCT
ejpam-6152	209	1	+	+	CCONJ
ejpam-6152	209	2	st−1	st−1	PROPN
ejpam-6152	209	3	[	[	X
ejpam-6152	209	4	1−	1−	NUM
ejpam-6152	209	5	α̌+	α̌+	PROPN
ejpam-6152	209	6	α̌s	α̌s	PROPN
ejpam-6152	209	7	n(α̌	n(α̌	NOUN
ejpam-6152	209	8	)	)	PUNCT
ejpam-6152	209	9	st	st	PROPN
ejpam-6152	209	10	[	[	PUNCT
ejpam-6152	209	11	d15	d15	NOUN
ejpam-6152	209	12	v̌	v̌	NOUN
ejpam-6152	209	13	+	+	CCONJ
ejpam-6152	209	14	d16	d16	ADJ
ejpam-6152	209	15	v̌	v̌	NOUN
ejpam-6152	209	16	2	2	NUM
ejpam-6152	209	17	+	+	NUM
ejpam-6152	209	18	d17	d17	NOUN
ejpam-6152	209	19	v̌	v̌	ADP
ejpam-6152	209	20	3	3	NUM
ejpam-6152	209	21	−	−	NOUN
ejpam-6152	209	22	d18	d18	NOUN
ejpam-6152	209	23	w̌	w̌	NOUN
ejpam-6152	209	24	−	−	NOUN
ejpam-6152	209	25	d19	d19	PROPN
ejpam-6152	209	26	v̌w̌	v̌w̌	PROPN
ejpam-6152	209	27	]	]	PUNCT
ejpam-6152	209	28	(	(	PUNCT
ejpam-6152	209	29	s	s	NOUN
ejpam-6152	209	30	)	)	PUNCT
ejpam-6152	209	31	.	.	PUNCT
ejpam-6152	210	1	assuming	assume	VERB
ejpam-6152	210	2	n	n	X
ejpam-6152	210	3	→	→	SYM
ejpam-6152	210	4	∞	∞	PROPN
ejpam-6152	210	5	,	,	PUNCT
ejpam-6152	210	6	the	the	DET
ejpam-6152	210	7	approximate	approximate	ADJ
ejpam-6152	210	8	solutions	solution	NOUN
ejpam-6152	210	9	are	be	AUX
ejpam-6152	210	10	:	:	PUNCT
ejpam-6152	210	11	ǔ	ǔ	PROPN
ejpam-6152	210	12	=	=	SYM
ejpam-6152	210	13	lim	lim	PROPN
ejpam-6152	210	14	n→∞	n→∞	X
ejpam-6152	210	15	ǔn	ǔn	PROPN
ejpam-6152	210	16	,	,	PUNCT
ejpam-6152	210	17	v̌	v̌	X
ejpam-6152	210	18	=	=	SYM
ejpam-6152	210	19	lim	lim	PROPN
ejpam-6152	210	20	n→∞	n→∞	NUM
ejpam-6152	210	21	v̌n	v̌n	PROPN
ejpam-6152	210	22	,	,	PUNCT
ejpam-6152	210	23	w̌	w̌	X
ejpam-6152	210	24	=	=	SYM
ejpam-6152	210	25	lim	lim	PROPN
ejpam-6152	210	26	n→∞	n→∞	X
ejpam-6152	210	27	w̌n	w̌n	X
ejpam-6152	210	28	.	.	PUNCT
ejpam-6152	211	1	in	in	ADP
ejpam-6152	211	2	order	order	NOUN
ejpam-6152	211	3	to	to	PART
ejpam-6152	211	4	ensure	ensure	VERB
ejpam-6152	211	5	convergence	convergence	NOUN
ejpam-6152	211	6	of	of	ADP
ejpam-6152	211	7	the	the	DET
ejpam-6152	211	8	iterative	iterative	NOUN
ejpam-6152	211	9	method	method	NOUN
ejpam-6152	211	10	under	under	ADP
ejpam-6152	211	11	suitable	suitable	ADJ
ejpam-6152	211	12	conditions	condition	NOUN
ejpam-6152	211	13	,	,	PUNCT
ejpam-6152	211	14	the	the	DET
ejpam-6152	211	15	self	self	NOUN
ejpam-6152	211	16	-	-	PUNCT
ejpam-6152	211	17	mapping	mapping	NOUN
ejpam-6152	211	18	operator	operator	NOUN
ejpam-6152	211	19	and	and	CCONJ
ejpam-6152	211	20	contraction	contraction	NOUN
ejpam-6152	211	21	properties	property	NOUN
ejpam-6152	211	22	are	be	AUX
ejpam-6152	211	23	examined	examine	VERB
ejpam-6152	211	24	.	.	PUNCT
ejpam-6152	212	1	our	our	PRON
ejpam-6152	212	2	next	next	ADJ
ejpam-6152	212	3	step	step	NOUN
ejpam-6152	212	4	is	be	AUX
ejpam-6152	212	5	to	to	PART
ejpam-6152	212	6	analyze	analyze	VERB
ejpam-6152	212	7	the	the	DET
ejpam-6152	212	8	stability	stability	NOUN
ejpam-6152	212	9	of	of	ADP
ejpam-6152	212	10	fractional	fractional	ADJ
ejpam-6152	212	11	cf	cf	NOUN
ejpam-6152	212	12	-	-	PUNCT
ejpam-6152	212	13	systems	system	NOUN
ejpam-6152	212	14	by	by	ADP
ejpam-6152	212	15	means	mean	NOUN
ejpam-6152	212	16	of	of	ADP
ejpam-6152	212	17	these	these	DET
ejpam-6152	212	18	notions	notion	NOUN
ejpam-6152	212	19	and	and	CCONJ
ejpam-6152	212	20	relationships	relationship	NOUN
ejpam-6152	212	21	.	.	PUNCT
ejpam-6152	213	1	theorem	theorem	NOUN
ejpam-6152	213	2	1	1	NUM
ejpam-6152	213	3	.	.	PUNCT
ejpam-6152	213	4	assume	assume	VERB
ejpam-6152	213	5	ψ	ψ	SYM
ejpam-6152	213	6	is	be	AUX
ejpam-6152	213	7	a	a	DET
ejpam-6152	213	8	self	self	NOUN
ejpam-6152	213	9	-	-	PUNCT
ejpam-6152	213	10	map	map	NOUN
ejpam-6152	213	11	:	:	PUNCT
ejpam-6152	213	12	ψ(ǔi	ψ(ǔi	NUM
ejpam-6152	213	13	)	)	PUNCT
ejpam-6152	214	1	=	=	SYM
ejpam-6152	214	2	ǔj+1	ǔj+1	X
ejpam-6152	214	3	=	=	PUNCT
ejpam-6152	214	4	ǔi	ǔi	PROPN
ejpam-6152	214	5	+	+	CCONJ
ejpam-6152	214	6	st−1	st−1	PROPN
ejpam-6152	214	7	[	[	X
ejpam-6152	214	8	1−	1−	NUM
ejpam-6152	214	9	α̌+	α̌+	PROPN
ejpam-6152	214	10	α̌s	α̌s	PROPN
ejpam-6152	214	11	n(α̌	n(α̌	NOUN
ejpam-6152	214	12	)	)	PUNCT
ejpam-6152	214	13	st	st	PROPN
ejpam-6152	214	14	[	[	PUNCT
ejpam-6152	214	15	−	−	PUNCT
ejpam-6152	214	16	d1	d1	PROPN
ejpam-6152	214	17	ǔi	ǔi	PROPN
ejpam-6152	214	18	+	+	CCONJ
ejpam-6152	214	19	d2	d2	PROPN
ejpam-6152	214	20	ǔiv̌i	ǔiv̌i	PROPN
ejpam-6152	214	21	+	+	CCONJ
ejpam-6152	214	22	d3	d3	PROPN
ejpam-6152	214	23	v̌	v̌	X
ejpam-6152	214	24	2	2	NUM
ejpam-6152	214	25	i	i	NOUN
ejpam-6152	214	26	+	+	CCONJ
ejpam-6152	214	27	d4	d4	PROPN
ejpam-6152	214	28	v̌	v̌	PUNCT
ejpam-6152	214	29	3	3	NUM
ejpam-6152	214	30	i	i	NOUN
ejpam-6152	214	31	+	+	CCONJ
ejpam-6152	215	1	d5	d5	VERB
ejpam-6152	215	2	w̌i	w̌i	PROPN
ejpam-6152	215	3	+	+	CCONJ
ejpam-6152	215	4	d6	d6	NOUN
ejpam-6152	215	5	w̌	w̌	PUNCT
ejpam-6152	215	6	2	2	NUM
ejpam-6152	215	7	i	i	PRON
ejpam-6152	215	8	s.	s.	PROPN
ejpam-6152	215	9	saber	saber	PROPN
ejpam-6152	215	10	et	et	PROPN
ejpam-6152	215	11	al	al	PROPN
ejpam-6152	215	12	.	.	PUNCT
ejpam-6152	215	13	/	/	SYM
ejpam-6152	215	14	eur	eur	PROPN
ejpam-6152	215	15	.	.	PUNCT
ejpam-6152	216	1	j.	j.	PROPN
ejpam-6152	216	2	pure	pure	PROPN
ejpam-6152	216	3	appl	appl	PROPN
ejpam-6152	216	4	.	.	PROPN
ejpam-6152	216	5	math	math	PROPN
ejpam-6152	216	6	,	,	PUNCT
ejpam-6152	216	7	18	18	NUM
ejpam-6152	216	8	(	(	PUNCT
ejpam-6152	216	9	2	2	NUM
ejpam-6152	216	10	)	)	PUNCT
ejpam-6152	216	11	(	(	PUNCT
ejpam-6152	216	12	2025	2025	NUM
ejpam-6152	216	13	)	)	PUNCT
ejpam-6152	216	14	,	,	PUNCT
ejpam-6152	216	15	6152	6152	NUM
ejpam-6152	216	16	9	9	NUM
ejpam-6152	216	17	of	of	ADP
ejpam-6152	216	18	24	24	NUM
ejpam-6152	216	19	+	+	CCONJ
ejpam-6152	216	20	d7	d7	PROPN
ejpam-6152	216	21	w̌	w̌	X
ejpam-6152	216	22	3	3	NUM
ejpam-6152	216	23	i	i	PRON
ejpam-6152	216	24	+	+	CCONJ
ejpam-6152	216	25	d20	d20	X
ejpam-6152	216	26	]	]	PUNCT
ejpam-6152	216	27	(	(	PUNCT
ejpam-6152	216	28	s	s	NOUN
ejpam-6152	216	29	)	)	PUNCT
ejpam-6152	216	30	]	]	PUNCT
ejpam-6152	216	31	,	,	PUNCT
ejpam-6152	216	32	ψ(v̌i	ψ(v̌i	X
ejpam-6152	216	33	)	)	PUNCT
ejpam-6152	216	34	=	=	SYM
ejpam-6152	217	1	v̌n+1	v̌n+1	NOUN
ejpam-6152	217	2	=	=	SYM
ejpam-6152	217	3	v̌i	v̌i	PROPN
ejpam-6152	217	4	+	+	CCONJ
ejpam-6152	217	5	st−1	st−1	PROPN
ejpam-6152	217	6	[	[	X
ejpam-6152	217	7	1−	1−	NUM
ejpam-6152	217	8	α̌+	α̌+	PROPN
ejpam-6152	217	9	α̌s	α̌s	PROPN
ejpam-6152	217	10	n(α̌	n(α̌	NOUN
ejpam-6152	217	11	)	)	PUNCT
ejpam-6152	217	12	st	st	PROPN
ejpam-6152	217	13	[	[	PUNCT
ejpam-6152	217	14	−	−	PROPN
ejpam-6152	217	15	d8	d8	PROPN
ejpam-6152	217	16	ǔiv̌i	ǔiv̌i	PROPN
ejpam-6152	217	17	−	−	PROPN
ejpam-6152	217	18	d9	d9	PROPN
ejpam-6152	217	19	ǔ	ǔ	PROPN
ejpam-6152	217	20	2	2	NUM
ejpam-6152	218	1	i	i	PRON
ejpam-6152	218	2	−	−	PROPN
ejpam-6152	218	3	d10	d10	PROPN
ejpam-6152	218	4	ǔ	ǔ	PROPN
ejpam-6152	218	5	3	3	NUM
ejpam-6152	218	6	i	i	PRON
ejpam-6152	218	7	+	+	CCONJ
ejpam-6152	218	8	d11	d11	PROPN
ejpam-6152	218	9	v̌i(1−	v̌i(1−	VERB
ejpam-6152	218	10	v̌i)−	v̌i)−	NOUN
ejpam-6152	218	11	d12	d12	X
ejpam-6152	218	12	w̌i	w̌i	PROPN
ejpam-6152	218	13	−	−	PROPN
ejpam-6152	218	14	d13	d13	NOUN
ejpam-6152	218	15	w̌	w̌	X
ejpam-6152	218	16	2	2	NUM
ejpam-6152	218	17	i	i	PRON
ejpam-6152	218	18	−	−	VERB
ejpam-6152	218	19	d14	d14	VERB
ejpam-6152	218	20	w̌	w̌	PUNCT
ejpam-6152	218	21	3	3	NUM
ejpam-6152	218	22	i	i	NOUN
ejpam-6152	218	23	+	+	CCONJ
ejpam-6152	218	24	d21	d21	X
ejpam-6152	218	25	]	]	PUNCT
ejpam-6152	218	26	(	(	PUNCT
ejpam-6152	218	27	s	s	NOUN
ejpam-6152	218	28	)	)	PUNCT
ejpam-6152	218	29	]	]	PUNCT
ejpam-6152	218	30	,	,	PUNCT
ejpam-6152	218	31	ψ(w̌i	ψ(w̌i	NUM
ejpam-6152	218	32	)	)	PUNCT
ejpam-6152	218	33	=	=	PRON
ejpam-6152	219	1	w̌n+1	w̌n+1	VERB
ejpam-6152	219	2	=	=	PUNCT
ejpam-6152	219	3	w̌i	w̌i	PROPN
ejpam-6152	219	4	+	+	CCONJ
ejpam-6152	219	5	st−1	st−1	PROPN
ejpam-6152	219	6	[	[	X
ejpam-6152	219	7	1−	1−	NUM
ejpam-6152	219	8	α̌+	α̌+	PROPN
ejpam-6152	219	9	α̌s	α̌s	PROPN
ejpam-6152	219	10	n(α̌	n(α̌	NOUN
ejpam-6152	219	11	)	)	PUNCT
ejpam-6152	219	12	st	st	PROPN
ejpam-6152	219	13	[	[	PUNCT
ejpam-6152	219	14	d15	d15	PROPN
ejpam-6152	219	15	v̌i	v̌i	PROPN
ejpam-6152	219	16	+	+	CCONJ
ejpam-6152	219	17	d16	d16	ADJ
ejpam-6152	219	18	v̌	v̌	NOUN
ejpam-6152	219	19	2	2	NUM
ejpam-6152	219	20	i	i	NOUN
ejpam-6152	219	21	+	+	CCONJ
ejpam-6152	219	22	d17	d17	VERB
ejpam-6152	219	23	v̌	v̌	NOUN
ejpam-6152	219	24	3	3	NUM
ejpam-6152	220	1	i	i	PRON
ejpam-6152	220	2	−	−	VERB
ejpam-6152	220	3	d18	d18	VERB
ejpam-6152	220	4	w̌i	w̌i	PROPN
ejpam-6152	220	5	−	−	PROPN
ejpam-6152	220	6	d19	d19	PROPN
ejpam-6152	220	7	v̌iw̌i	v̌iw̌i	PROPN
ejpam-6152	220	8	]	]	PUNCT
ejpam-6152	220	9	(	(	PUNCT
ejpam-6152	220	10	s	s	NOUN
ejpam-6152	220	11	)	)	PUNCT
ejpam-6152	220	12	]	]	PUNCT
ejpam-6152	220	13	,	,	PUNCT
ejpam-6152	220	14	then	then	ADV
ejpam-6152	220	15	the	the	DET
ejpam-6152	220	16	iterative	iterative	ADJ
ejpam-6152	220	17	fractional	fractional	ADJ
ejpam-6152	220	18	cf	cf	NOUN
ejpam-6152	220	19	-system	-system	NOUN
ejpam-6152	220	20	is	be	AUX
ejpam-6152	220	21	ψ	ψ	NOUN
ejpam-6152	220	22	-	-	NOUN
ejpam-6152	220	23	stable	stable	ADJ
ejpam-6152	220	24	in	in	ADP
ejpam-6152	220	25	l1(a	l1(a	PROPN
ejpam-6152	220	26	,	,	PUNCT
ejpam-6152	220	27	b	b	NOUN
ejpam-6152	220	28	)	)	PUNCT
ejpam-6152	220	29	whenever	whenever	SCONJ
ejpam-6152	220	30	we	we	PRON
ejpam-6152	220	31	have:	have:	VERB
ejpam-6152	220	32	1−	1−	NUM
ejpam-6152	220	33	d1+d5+d2k	d1+d5+d2k	NOUN
ejpam-6152	220	34	∗	∗	NOUN
ejpam-6152	220	35	2φ1	2φ1	NUM
ejpam-6152	221	1	+	+	CCONJ
ejpam-6152	221	2	d2k	d2k	NOUN
ejpam-6152	221	3	∗	∗	NOUN
ejpam-6152	221	4	1φ2	1φ2	NUM
ejpam-6152	221	5	+	+	CCONJ
ejpam-6152	221	6	2d3k	2d3k	ADJ
ejpam-6152	221	7	∗	∗	NOUN
ejpam-6152	221	8	2φ3	2φ3	NUM
ejpam-6152	222	1	+	+	CCONJ
ejpam-6152	222	2	3d4(k	3d4(k	NUM
ejpam-6152	222	3	∗	∗	NOUN
ejpam-6152	222	4	2	2	NUM
ejpam-6152	222	5	)	)	PUNCT
ejpam-6152	222	6	2φ4	2φ4	NUM
ejpam-6152	223	1	+	+	CCONJ
ejpam-6152	223	2	2d6k	2d6k	NUM
ejpam-6152	223	3	∗	∗	NOUN
ejpam-6152	223	4	3φ5	3φ5	NUM
ejpam-6152	224	1	+	+	CCONJ
ejpam-6152	224	2	3d7(k	3d7(k	NUM
ejpam-6152	224	3	∗	∗	NOUN
ejpam-6152	224	4	3	3	NUM
ejpam-6152	224	5	)	)	PUNCT
ejpam-6152	224	6	2φ6	2φ6	NUM
ejpam-6152	224	7	<	<	X
ejpam-6152	224	8	1	1	NUM
ejpam-6152	224	9	,	,	PUNCT
ejpam-6152	224	10	1	1	NUM
ejpam-6152	224	11	+	+	NUM
ejpam-6152	224	12	d11−d8k	d11−d8k	NOUN
ejpam-6152	224	13	∗	∗	NOUN
ejpam-6152	224	14	2φ7	2φ7	NUM
ejpam-6152	224	15	−	−	NUM
ejpam-6152	224	16	2	2	NUM
ejpam-6152	224	17	d9k	d9k	PROPN
ejpam-6152	224	18	∗	∗	NOUN
ejpam-6152	224	19	1φ8	1φ8	NUM
ejpam-6152	224	20	−	−	NUM
ejpam-6152	224	21	3	3	NUM
ejpam-6152	224	22	d10(k	d10(k	ADJ
ejpam-6152	224	23	∗	∗	NOUN
ejpam-6152	224	24	1	1	NUM
ejpam-6152	224	25	)	)	PUNCT
ejpam-6152	224	26	2φ9	2φ9	NUM
ejpam-6152	225	1	−	−	NOUN
ejpam-6152	225	2	2	2	NUM
ejpam-6152	225	3	d11k	d11k	ADP
ejpam-6152	225	4	∗	∗	NOUN
ejpam-6152	225	5	2φ10	2φ10	NUM
ejpam-6152	226	1	−	−	NOUN
ejpam-6152	226	2	d12φ11	d12φ11	NOUN
ejpam-6152	226	3	−	−	PROPN
ejpam-6152	226	4	2	2	NUM
ejpam-6152	226	5	d13k	d13k	NOUN
ejpam-6152	226	6	∗	∗	VERB
ejpam-6152	226	7	3φ12	3φ12	NUM
ejpam-6152	226	8	−3	−3	PROPN
ejpam-6152	226	9	d14(k	d14(k	NOUN
ejpam-6152	226	10	∗	∗	NOUN
ejpam-6152	226	11	3	3	NUM
ejpam-6152	226	12	)	)	PUNCT
ejpam-6152	226	13	2φ13	2φ13	NOUN
ejpam-6152	226	14	<	<	X
ejpam-6152	226	15	1	1	NUM
ejpam-6152	226	16	,	,	PUNCT
ejpam-6152	226	17	1	1	NUM
ejpam-6152	226	18	+	+	CCONJ
ejpam-6152	226	19	d15−d18	d15−d18	PROPN
ejpam-6152	226	20	+	+	NOUN
ejpam-6152	226	21	2d16k	2d16k	NUM
ejpam-6152	226	22	∗	∗	NOUN
ejpam-6152	226	23	2φ14	2φ14	NUM
ejpam-6152	226	24	+	+	CCONJ
ejpam-6152	226	25	3d17(k	3d17(k	NOUN
ejpam-6152	226	26	∗	∗	NOUN
ejpam-6152	226	27	2	2	NUM
ejpam-6152	226	28	)	)	PUNCT
ejpam-6152	226	29	2φ15	2φ15	NOUN
ejpam-6152	226	30	+	+	CCONJ
ejpam-6152	226	31	d19k	d19k	PROPN
ejpam-6152	226	32	∗	∗	NOUN
ejpam-6152	226	33	3φ16	3φ16	NUM
ejpam-6152	226	34	−	−	PROPN
ejpam-6152	226	35	d19k	d19k	NOUN
ejpam-6152	226	36	∗	∗	NOUN
ejpam-6152	226	37	2φ17	2φ17	NUM
ejpam-6152	226	38	<	<	X
ejpam-6152	226	39	1	1	NUM
ejpam-6152	226	40	,	,	PUNCT
ejpam-6152	226	41	where	where	SCONJ
ejpam-6152	226	42	the	the	DET
ejpam-6152	226	43	functions	function	NOUN
ejpam-6152	226	44	φℓ	φℓ	NOUN
ejpam-6152	226	45	are	be	AUX
ejpam-6152	226	46	introduced	introduce	VERB
ejpam-6152	226	47	later	later	ADV
ejpam-6152	226	48	for	for	ADP
ejpam-6152	226	49	k	k	PROPN
ejpam-6152	226	50	=	=	SYM
ejpam-6152	226	51	1	1	NUM
ejpam-6152	226	52	,	,	PUNCT
ejpam-6152	226	53	2	2	NUM
ejpam-6152	226	54	,	,	PUNCT
ejpam-6152	226	55	.	.	PUNCT
ejpam-6152	226	56	.	.	PUNCT
ejpam-6152	227	1	.	.	PUNCT
ejpam-6152	228	1	,	,	PUNCT
ejpam-6152	229	1	17	17	NUM
ejpam-6152	229	2	.	.	PUNCT
ejpam-6152	230	1	proof	proof	NOUN
ejpam-6152	230	2	.	.	PUNCT
ejpam-6152	231	1	we	we	PRON
ejpam-6152	231	2	will	will	AUX
ejpam-6152	231	3	prove	prove	VERB
ejpam-6152	231	4	that	that	SCONJ
ejpam-6152	231	5	ψ	ψ	NOUN
ejpam-6152	231	6	has	have	VERB
ejpam-6152	231	7	a	a	DET
ejpam-6152	231	8	fixed	fix	VERB
ejpam-6152	231	9	point	point	NOUN
ejpam-6152	231	10	.	.	PUNCT
ejpam-6152	232	1	we	we	PRON
ejpam-6152	232	2	write	write	VERB
ejpam-6152	232	3	:	:	PUNCT
ejpam-6152	232	4	i	i	PRON
ejpam-6152	232	5	,	,	PUNCT
ejpam-6152	232	6	j	j	PROPN
ejpam-6152	232	7	∈	∈	PROPN
ejpam-6152	232	8	n	n	CCONJ
ejpam-6152	232	9	,	,	PUNCT
ejpam-6152	232	10	∥ψ(ǔi)−ψ(ǔj)∥	∥ψ(ǔi)−ψ(ǔj)∥	NOUN
ejpam-6152	232	11	=	=	SYM
ejpam-6152	232	12	∥∥∥ǔi+1	∥∥∥ǔi+1	NOUN
ejpam-6152	233	1	−	−	NOUN
ejpam-6152	233	2	ǔj+1∥	ǔj+1∥	PUNCT
ejpam-6152	234	1	=	=	PUNCT
ejpam-6152	234	2	∥ǔi	∥ǔi	PROPN
ejpam-6152	234	3	+	+	CCONJ
ejpam-6152	234	4	st−1	st−1	PROPN
ejpam-6152	234	5	[	[	X
ejpam-6152	234	6	1−	1−	NUM
ejpam-6152	234	7	α̌+	α̌+	PROPN
ejpam-6152	234	8	α̌s	α̌s	PROPN
ejpam-6152	234	9	n(α̌	n(α̌	NOUN
ejpam-6152	234	10	)	)	PUNCT
ejpam-6152	234	11	st	st	PROPN
ejpam-6152	234	12	[	[	PUNCT
ejpam-6152	234	13	−	−	PUNCT
ejpam-6152	234	14	d1	d1	PROPN
ejpam-6152	234	15	ǔi	ǔi	PROPN
ejpam-6152	234	16	+	+	CCONJ
ejpam-6152	234	17	d2	d2	PROPN
ejpam-6152	234	18	ǔiv̌i	ǔiv̌i	PROPN
ejpam-6152	234	19	+	+	CCONJ
ejpam-6152	234	20	d3	d3	PROPN
ejpam-6152	234	21	v̌	v̌	X
ejpam-6152	234	22	2	2	NUM
ejpam-6152	234	23	i	i	NOUN
ejpam-6152	234	24	+	+	CCONJ
ejpam-6152	234	25	d4	d4	PROPN
ejpam-6152	234	26	v̌	v̌	PUNCT
ejpam-6152	234	27	3	3	NUM
ejpam-6152	234	28	i	i	NOUN
ejpam-6152	234	29	+	+	CCONJ
ejpam-6152	234	30	d5	d5	VERB
ejpam-6152	234	31	w̌i	w̌i	PROPN
ejpam-6152	234	32	+	+	CCONJ
ejpam-6152	234	33	d6	d6	NOUN
ejpam-6152	234	34	w̌	w̌	PUNCT
ejpam-6152	234	35	2	2	NUM
ejpam-6152	234	36	i	i	PRON
ejpam-6152	234	37	+	+	CCONJ
ejpam-6152	234	38	d7	d7	PROPN
ejpam-6152	234	39	w̌	w̌	X
ejpam-6152	234	40	3	3	NUM
ejpam-6152	234	41	i	i	PRON
ejpam-6152	234	42	+	+	CCONJ
ejpam-6152	234	43	d20	d20	X
ejpam-6152	234	44	]	]	PUNCT
ejpam-6152	234	45	(	(	PUNCT
ejpam-6152	234	46	s	s	NOUN
ejpam-6152	234	47	)	)	PUNCT
ejpam-6152	234	48	]	]	PUNCT
ejpam-6152	234	49	−	−	PROPN
ejpam-6152	235	1	ǔj	ǔj	PROPN
ejpam-6152	235	2	−	−	PROPN
ejpam-6152	235	3	st−1	st−1	PROPN
ejpam-6152	235	4	[	[	X
ejpam-6152	235	5	1−	1−	NUM
ejpam-6152	235	6	α̌+	α̌+	PROPN
ejpam-6152	235	7	α̌s	α̌s	PROPN
ejpam-6152	235	8	n(α̌	n(α̌	NOUN
ejpam-6152	235	9	)	)	PUNCT
ejpam-6152	235	10	st	st	PROPN
ejpam-6152	235	11	[	[	PUNCT
ejpam-6152	235	12	−	−	PUNCT
ejpam-6152	235	13	d1	d1	PROPN
ejpam-6152	235	14	ǔj	ǔj	PROPN
ejpam-6152	235	15	+	+	CCONJ
ejpam-6152	235	16	d2	d2	PROPN
ejpam-6152	235	17	ǔj	ǔj	PROPN
ejpam-6152	235	18	v̌j	v̌j	PROPN
ejpam-6152	235	19	+	+	CCONJ
ejpam-6152	235	20	d3	d3	PROPN
ejpam-6152	235	21	v̌	v̌	ADP
ejpam-6152	235	22	2	2	NUM
ejpam-6152	235	23	j	j	NOUN
ejpam-6152	235	24	+	+	CCONJ
ejpam-6152	235	25	d4	d4	PROPN
ejpam-6152	235	26	v̌	v̌	PUNCT
ejpam-6152	235	27	3	3	NUM
ejpam-6152	235	28	j	j	PROPN
ejpam-6152	235	29	+	+	CCONJ
ejpam-6152	235	30	d5	d5	NOUN
ejpam-6152	235	31	w̌j	w̌j	PROPN
ejpam-6152	235	32	+	+	CCONJ
ejpam-6152	235	33	d6	d6	NOUN
ejpam-6152	235	34	w̌	w̌	PUNCT
ejpam-6152	235	35	2	2	NUM
ejpam-6152	235	36	j	j	NOUN
ejpam-6152	235	37	+	+	CCONJ
ejpam-6152	235	38	d7	d7	PROPN
ejpam-6152	235	39	w̌	w̌	NUM
ejpam-6152	235	40	3	3	NUM
ejpam-6152	235	41	j	j	NOUN
ejpam-6152	235	42	+	+	CCONJ
ejpam-6152	235	43	d20	d20	X
ejpam-6152	235	44	]	]	PUNCT
ejpam-6152	235	45	(	(	PUNCT
ejpam-6152	235	46	s	s	NOUN
ejpam-6152	235	47	)	)	PUNCT
ejpam-6152	235	48	]	]	PUNCT
ejpam-6152	235	49	∥∥∥	∥∥∥	X
ejpam-6152	235	50	≤	≤	ADV
ejpam-6152	236	1	∥ǔi	∥ǔi	PROPN
ejpam-6152	236	2	−	−	NOUN
ejpam-6152	236	3	ǔj∥+	ǔj∥+	VERB
ejpam-6152	237	1	st−1	st−1	PROPN
ejpam-6152	237	2	[	[	X
ejpam-6152	237	3	1−	1−	NUM
ejpam-6152	237	4	α̌+	α̌+	PROPN
ejpam-6152	237	5	α̌s	α̌s	PROPN
ejpam-6152	237	6	n(α̌	n(α̌	NOUN
ejpam-6152	237	7	)	)	PUNCT
ejpam-6152	237	8	st	st	PROPN
ejpam-6152	237	9	[	[	PUNCT
ejpam-6152	237	10	d1	d1	PROPN
ejpam-6152	237	11	∥ǔi	∥ǔi	PROPN
ejpam-6152	237	12	−	−	PROPN
ejpam-6152	237	13	ǔj∥	ǔj∥	SYM
ejpam-6152	238	1	+	+	NUM
ejpam-6152	238	2	d2	d2	PROPN
ejpam-6152	238	3	∥v̌j∥∥ǔi	∥v̌j∥∥ǔi	NOUN
ejpam-6152	238	4	−	−	PROPN
ejpam-6152	238	5	ǔj∥+	ǔj∥+	NOUN
ejpam-6152	238	6	d2	d2	PROPN
ejpam-6152	238	7	∥ǔi∥∥v̌i	∥ǔi∥∥v̌i	PROPN
ejpam-6152	238	8	−	−	PROPN
ejpam-6152	238	9	v̌j∥+	v̌j∥+	NOUN
ejpam-6152	238	10	d3	d3	VERB
ejpam-6152	238	11	∥v̌i	∥v̌i	PROPN
ejpam-6152	238	12	+	+	CCONJ
ejpam-6152	239	1	v̌j∥∥v̌i	v̌j∥∥v̌i	VERB
ejpam-6152	239	2	−	−	X
ejpam-6152	239	3	v̌j∥	v̌j∥	NOUN
ejpam-6152	240	1	+	+	CCONJ
ejpam-6152	240	2	d4	d4	PROPN
ejpam-6152	240	3	∥	∥	PROPN
ejpam-6152	240	4	t22,i+v̌iv̌j	t22,i+v̌iv̌j	PROPN
ejpam-6152	241	1	+	+	CCONJ
ejpam-6152	241	2	t22,j	t22,j	VERB
ejpam-6152	241	3	∥∥v̌i	∥∥v̌i	NUM
ejpam-6152	241	4	−	−	PROPN
ejpam-6152	241	5	v̌j∥+	v̌j∥+	NOUN
ejpam-6152	242	1	d5	d5	NOUN
ejpam-6152	242	2	∥w̌i	∥w̌i	PROPN
ejpam-6152	242	3	−	−	PROPN
ejpam-6152	242	4	w̌j∥+	w̌j∥+	NOUN
ejpam-6152	242	5	d6	d6	PROPN
ejpam-6152	242	6	∥w̌i	∥w̌i	PROPN
ejpam-6152	242	7	+	+	CCONJ
ejpam-6152	242	8	w̌j∥∥w̌i	w̌j∥∥w̌i	ADJ
ejpam-6152	242	9	−	−	NOUN
ejpam-6152	242	10	w̌j∥	w̌j∥	ADP
ejpam-6152	242	11	+	+	CCONJ
ejpam-6152	242	12	d7	d7	PROPN
ejpam-6152	242	13	∥	∥	PUNCT
ejpam-6152	242	14	t23,i+w̌iw̌j	t23,i+w̌iw̌j	PROPN
ejpam-6152	243	1	+	+	NUM
ejpam-6152	243	2	t23,j	t23,j	NOUN
ejpam-6152	243	3	∥∥w̌i	∥∥w̌i	VERB
ejpam-6152	243	4	−	−	NOUN
ejpam-6152	243	5	w̌j∥	w̌j∥	ADP
ejpam-6152	243	6	∥∥∥](s	∥∥∥](s	NOUN
ejpam-6152	243	7	)	)	PUNCT
ejpam-6152	243	8	]	]	PUNCT
ejpam-6152	243	9	.	.	PUNCT
ejpam-6152	244	1	we	we	PRON
ejpam-6152	244	2	shall	shall	AUX
ejpam-6152	244	3	consider	consider	VERB
ejpam-6152	244	4	all	all	DET
ejpam-6152	244	5	four	four	NUM
ejpam-6152	244	6	solutions	solution	NOUN
ejpam-6152	244	7	due	due	ADP
ejpam-6152	244	8	to	to	ADP
ejpam-6152	244	9	their	their	PRON
ejpam-6152	244	10	similar	similar	ADJ
ejpam-6152	244	11	roles	role	NOUN
ejpam-6152	244	12	∥ǔi	∥ǔi	PROPN
ejpam-6152	244	13	−	−	VERB
ejpam-6152	244	14	ǔj∥	ǔj∥	ADP
ejpam-6152	244	15	≃	≃	NOUN
ejpam-6152	244	16	∥v̌i	∥v̌i	PROPN
ejpam-6152	244	17	−	−	PROPN
ejpam-6152	244	18	v̌j∥	v̌j∥	PRON
ejpam-6152	244	19	≃	≃	VERB
ejpam-6152	244	20	∥w̌i	∥w̌i	PROPN
ejpam-6152	244	21	−	−	ADP
ejpam-6152	244	22	w̌j∥	w̌j∥	PROPN
ejpam-6152	244	23	.	.	PUNCT
ejpam-6152	245	1	since	since	SCONJ
ejpam-6152	245	2	the	the	DET
ejpam-6152	245	3	sequences	sequence	NOUN
ejpam-6152	245	4	ǔi	ǔi	NOUN
ejpam-6152	245	5	,	,	PUNCT
ejpam-6152	245	6	v̌i	v̌i	PROPN
ejpam-6152	245	7	,	,	PUNCT
ejpam-6152	245	8	w̌i	w̌i	PROPN
ejpam-6152	245	9	are	be	AUX
ejpam-6152	245	10	convergent	convergent	ADJ
ejpam-6152	245	11	,	,	PUNCT
ejpam-6152	245	12	they	they	PRON
ejpam-6152	245	13	are	be	AUX
ejpam-6152	245	14	also	also	ADV
ejpam-6152	245	15	bounded	bound	VERB
ejpam-6152	245	16	.	.	PUNCT
ejpam-6152	246	1	thus	thus	ADV
ejpam-6152	246	2	,	,	PUNCT
ejpam-6152	246	3	there	there	PRON
ejpam-6152	246	4	exist	exist	VERB
ejpam-6152	246	5	constants	constant	NOUN
ejpam-6152	246	6	k∗	k∗	PROPN
ejpam-6152	246	7	1,k	1,k	PROPN
ejpam-6152	246	8	∗	∗	PROPN
ejpam-6152	246	9	2,k	2,k	PROPN
ejpam-6152	246	10	∗	∗	NOUN
ejpam-6152	246	11	3	3	NUM
ejpam-6152	246	12	such	such	ADJ
ejpam-6152	246	13	that	that	PRON
ejpam-6152	246	14	for	for	ADP
ejpam-6152	246	15	any	any	DET
ejpam-6152	246	16	t	t	NOUN
ejpam-6152	246	17	and	and	CCONJ
ejpam-6152	246	18	all	all	DET
ejpam-6152	246	19	i	i	PROPN
ejpam-6152	246	20	,	,	PUNCT
ejpam-6152	246	21	j	j	PROPN
ejpam-6152	246	22	∈	∈	PROPN
ejpam-6152	246	23	n	n	CCONJ
ejpam-6152	246	24	,	,	PUNCT
ejpam-6152	246	25	we	we	PRON
ejpam-6152	246	26	have	have	VERB
ejpam-6152	246	27	:	:	PUNCT
ejpam-6152	246	28	∥ǔi∥	∥ǔi∥	VERB
ejpam-6152	246	29	≤	≤	PROPN
ejpam-6152	247	1	k∗	k∗	PROPN
ejpam-6152	247	2	1	1	NUM
ejpam-6152	247	3	,	,	PUNCT
ejpam-6152	247	4	∥v̌j∥	∥v̌j∥	ADJ
ejpam-6152	247	5	≤	≤	X
ejpam-6152	247	6	k∗	k∗	PROPN
ejpam-6152	247	7	2	2	NUM
ejpam-6152	247	8	,	,	PUNCT
ejpam-6152	247	9	∥w̌i∥	∥w̌i∥	VERB
ejpam-6152	247	10	≤	≤	NUM
ejpam-6152	247	11	k∗	k∗	PROPN
ejpam-6152	247	12	3	3	NUM
ejpam-6152	247	13	.	.	PUNCT
ejpam-6152	248	1	therefore	therefore	ADV
ejpam-6152	248	2	,	,	PUNCT
ejpam-6152	248	3	we	we	PRON
ejpam-6152	248	4	obtain	obtain	VERB
ejpam-6152	248	5	:	:	PUNCT
ejpam-6152	248	6	∥ψ(ǔi)−ψ(ǔj)∥	∥ψ(ǔi)−ψ(ǔj)∥	NOUN
ejpam-6152	248	7	≤	≤	PUNCT
ejpam-6152	248	8	∥ǔi	∥ǔi	PROPN
ejpam-6152	248	9	−	−	NOUN
ejpam-6152	248	10	ǔj∥+	ǔj∥+	VERB
ejpam-6152	249	1	st−1	st−1	PROPN
ejpam-6152	249	2	[	[	X
ejpam-6152	249	3	1−	1−	NUM
ejpam-6152	249	4	α̌+	α̌+	PROPN
ejpam-6152	249	5	α̌s	α̌s	PROPN
ejpam-6152	249	6	n(α̌	n(α̌	NOUN
ejpam-6152	249	7	)	)	PUNCT
ejpam-6152	249	8	st	st	PROPN
ejpam-6152	250	1	[	[	PUNCT
ejpam-6152	250	2	−	−	PUNCT
ejpam-6152	250	3	d1	d1	PROPN
ejpam-6152	250	4	∥ǔi	∥ǔi	PROPN
ejpam-6152	250	5	−	−	PROPN
ejpam-6152	250	6	ǔj∥	ǔj∥	ADP
ejpam-6152	250	7	s.	s.	PROPN
ejpam-6152	250	8	saber	saber	PROPN
ejpam-6152	250	9	et	et	PROPN
ejpam-6152	250	10	al	al	PROPN
ejpam-6152	250	11	.	.	PUNCT
ejpam-6152	250	12	/	/	SYM
ejpam-6152	250	13	eur	eur	PROPN
ejpam-6152	250	14	.	.	PUNCT
ejpam-6152	251	1	j.	j.	PROPN
ejpam-6152	251	2	pure	pure	PROPN
ejpam-6152	251	3	appl	appl	PROPN
ejpam-6152	251	4	.	.	PROPN
ejpam-6152	251	5	math	math	PROPN
ejpam-6152	251	6	,	,	PUNCT
ejpam-6152	251	7	18	18	NUM
ejpam-6152	251	8	(	(	PUNCT
ejpam-6152	251	9	2	2	NUM
ejpam-6152	251	10	)	)	PUNCT
ejpam-6152	251	11	(	(	PUNCT
ejpam-6152	251	12	2025	2025	NUM
ejpam-6152	251	13	)	)	PUNCT
ejpam-6152	251	14	,	,	PUNCT
ejpam-6152	251	15	6152	6152	NUM
ejpam-6152	251	16	10	10	NUM
ejpam-6152	251	17	of	of	ADP
ejpam-6152	251	18	24	24	NUM
ejpam-6152	251	19	+	+	CCONJ
ejpam-6152	251	20	d2k	d2k	NOUN
ejpam-6152	251	21	∗	∗	NOUN
ejpam-6152	251	22	2	2	NUM
ejpam-6152	251	23	∥ǔi	∥ǔi	NOUN
ejpam-6152	251	24	−	−	NOUN
ejpam-6152	251	25	ǔj∥+	ǔj∥+	NOUN
ejpam-6152	251	26	d2k	d2k	PROPN
ejpam-6152	251	27	∗	∗	NOUN
ejpam-6152	251	28	1	1	NUM
ejpam-6152	252	1	∥v̌i	∥v̌i	NOUN
ejpam-6152	252	2	−	−	NOUN
ejpam-6152	252	3	v̌j∥+	v̌j∥+	NOUN
ejpam-6152	252	4	2d3k	2d3k	NOUN
ejpam-6152	252	5	∗	∗	NOUN
ejpam-6152	252	6	2	2	NUM
ejpam-6152	253	1	∥v̌i	∥v̌i	NOUN
ejpam-6152	253	2	−	−	NOUN
ejpam-6152	253	3	v̌j∥+	v̌j∥+	NOUN
ejpam-6152	253	4	3d4(k	3d4(k	NUM
ejpam-6152	253	5	∗	∗	NOUN
ejpam-6152	253	6	2	2	NUM
ejpam-6152	253	7	)	)	PUNCT
ejpam-6152	253	8	2∥v̌i	2∥v̌i	NUM
ejpam-6152	253	9	−	−	NOUN
ejpam-6152	253	10	v̌j∥	v̌j∥	NOUN
ejpam-6152	254	1	+	+	CCONJ
ejpam-6152	254	2	d5	d5	PROPN
ejpam-6152	254	3	∥w̌i	∥w̌i	PROPN
ejpam-6152	254	4	−	−	PROPN
ejpam-6152	254	5	w̌j∥+	w̌j∥+	NOUN
ejpam-6152	254	6	2d6k	2d6k	NUM
ejpam-6152	255	1	∗	∗	NOUN
ejpam-6152	255	2	3	3	NUM
ejpam-6152	255	3	∥w̌i	∥w̌i	PROPN
ejpam-6152	255	4	−	−	PROPN
ejpam-6152	255	5	w̌j∥+	w̌j∥+	NOUN
ejpam-6152	255	6	3d7(k	3d7(k	NUM
ejpam-6152	255	7	∗	∗	NOUN
ejpam-6152	255	8	3	3	NUM
ejpam-6152	255	9	)	)	PUNCT
ejpam-6152	255	10	2∥w̌i	2∥w̌i	NUM
ejpam-6152	255	11	−	−	NOUN
ejpam-6152	255	12	w̌j∥	w̌j∥	ADP
ejpam-6152	255	13	∥∥∥](s	∥∥∥](s	NOUN
ejpam-6152	255	14	)	)	PUNCT
ejpam-6152	255	15	]	]	PUNCT
ejpam-6152	256	1	=	=	PUNCT
ejpam-6152	256	2	(	(	PUNCT
ejpam-6152	256	3	1−	1−	NUM
ejpam-6152	256	4	d1+d5+d2k	d1+d5+d2k	NOUN
ejpam-6152	256	5	∗	∗	NOUN
ejpam-6152	256	6	2φ1	2φ1	NUM
ejpam-6152	256	7	+	+	CCONJ
ejpam-6152	256	8	d2k	d2k	NOUN
ejpam-6152	256	9	∗	∗	NOUN
ejpam-6152	256	10	1φ2	1φ2	NUM
ejpam-6152	256	11	+	+	CCONJ
ejpam-6152	256	12	2d3k	2d3k	ADJ
ejpam-6152	256	13	∗	∗	NOUN
ejpam-6152	256	14	2φ3	2φ3	NUM
ejpam-6152	257	1	+	+	CCONJ
ejpam-6152	257	2	3d4(k	3d4(k	NUM
ejpam-6152	257	3	∗	∗	NOUN
ejpam-6152	257	4	2	2	NUM
ejpam-6152	257	5	)	)	PUNCT
ejpam-6152	257	6	2φ4	2φ4	NUM
ejpam-6152	258	1	+	+	CCONJ
ejpam-6152	258	2	2d6k	2d6k	NUM
ejpam-6152	258	3	∗	∗	NOUN
ejpam-6152	258	4	3φ5	3φ5	NUM
ejpam-6152	259	1	+	+	CCONJ
ejpam-6152	259	2	3d7(k	3d7(k	NUM
ejpam-6152	259	3	∗	∗	NOUN
ejpam-6152	259	4	3	3	NUM
ejpam-6152	259	5	)	)	PUNCT
ejpam-6152	259	6	2φ6	2φ6	NUM
ejpam-6152	259	7	)	)	PUNCT
ejpam-6152	260	1	∥ǔi	∥ǔi	NOUN
ejpam-6152	260	2	−	−	PROPN
ejpam-6152	260	3	ǔj∥.	ǔj∥.	PROPN
ejpam-6152	260	4	similarly	similarly	ADV
ejpam-6152	260	5	,	,	PUNCT
ejpam-6152	260	6	we	we	PRON
ejpam-6152	260	7	obtain	obtain	VERB
ejpam-6152	260	8	:	:	PUNCT
ejpam-6152	260	9	∥ψ(v̌i)−ψ(v̌j)∥	∥ψ(v̌i)−ψ(v̌j)∥	PROPN
ejpam-6152	260	10	≤	≤	NOUN
ejpam-6152	260	11	(	(	PUNCT
ejpam-6152	260	12	1−	1−	NUM
ejpam-6152	260	13	d11−d8k	d11−d8k	NOUN
ejpam-6152	260	14	∗	∗	NOUN
ejpam-6152	260	15	2φ7	2φ7	NUM
ejpam-6152	260	16	−	−	NUM
ejpam-6152	260	17	2	2	NUM
ejpam-6152	260	18	d9k	d9k	PROPN
ejpam-6152	260	19	∗	∗	NOUN
ejpam-6152	260	20	1φ8	1φ8	NUM
ejpam-6152	260	21	−	−	NUM
ejpam-6152	260	22	3	3	NUM
ejpam-6152	260	23	d10(k	d10(k	ADJ
ejpam-6152	260	24	∗	∗	NOUN
ejpam-6152	260	25	1	1	NUM
ejpam-6152	260	26	)	)	PUNCT
ejpam-6152	260	27	2φ9	2φ9	NUM
ejpam-6152	261	1	+	+	CCONJ
ejpam-6152	261	2	2d11k	2d11k	NUM
ejpam-6152	261	3	∗	∗	NOUN
ejpam-6152	261	4	2φ10	2φ10	NUM
ejpam-6152	262	1	−	−	NOUN
ejpam-6152	262	2	d12φ11	d12φ11	NOUN
ejpam-6152	262	3	−	−	PROPN
ejpam-6152	262	4	2	2	NUM
ejpam-6152	262	5	d13k	d13k	NOUN
ejpam-6152	262	6	∗	∗	VERB
ejpam-6152	262	7	3φ12	3φ12	NUM
ejpam-6152	262	8	−	−	NUM
ejpam-6152	262	9	3	3	NUM
ejpam-6152	262	10	d14(k	d14(k	NOUN
ejpam-6152	262	11	∗	∗	NOUN
ejpam-6152	262	12	3	3	NUM
ejpam-6152	262	13	)	)	PUNCT
ejpam-6152	262	14	2φ13	2φ13	NOUN
ejpam-6152	262	15	)	)	PUNCT
ejpam-6152	263	1	∥v̌i	∥v̌i	NOUN
ejpam-6152	263	2	−	−	NOUN
ejpam-6152	264	1	v̌j∥	v̌j∥	PROPN
ejpam-6152	264	2	,	,	PUNCT
ejpam-6152	264	3	and	and	CCONJ
ejpam-6152	264	4	∥ψ(w̌i)−ψ(w̌j)∥	∥ψ(w̌i)−ψ(w̌j)∥	PROPN
ejpam-6152	264	5	≤	≤	NOUN
ejpam-6152	264	6	(	(	PUNCT
ejpam-6152	264	7	1	1	NUM
ejpam-6152	264	8	+	+	NUM
ejpam-6152	264	9	d15−d18	d15−d18	PROPN
ejpam-6152	264	10	+	+	NOUN
ejpam-6152	264	11	2d16k	2d16k	NUM
ejpam-6152	264	12	∗	∗	NOUN
ejpam-6152	264	13	2φ14	2φ14	NUM
ejpam-6152	264	14	+	+	CCONJ
ejpam-6152	264	15	3d17(k	3d17(k	NOUN
ejpam-6152	264	16	∗	∗	NOUN
ejpam-6152	264	17	2	2	NUM
ejpam-6152	264	18	)	)	PUNCT
ejpam-6152	264	19	2φ15	2φ15	NOUN
ejpam-6152	264	20	+	+	CCONJ
ejpam-6152	264	21	d19k	d19k	PROPN
ejpam-6152	264	22	∗	∗	NOUN
ejpam-6152	264	23	3φ16	3φ16	NUM
ejpam-6152	264	24	−	−	PROPN
ejpam-6152	264	25	d19k	d19k	NOUN
ejpam-6152	264	26	∗	∗	NOUN
ejpam-6152	264	27	2φ17	2φ17	NUM
ejpam-6152	264	28	)	)	PUNCT
ejpam-6152	264	29	∥w̌i	∥w̌i	PROPN
ejpam-6152	264	30	−	−	PROPN
ejpam-6152	264	31	w̌j∥.	w̌j∥.	PROPN
ejpam-6152	264	32	under	under	ADP
ejpam-6152	264	33	the	the	DET
ejpam-6152	264	34	conditions	condition	NOUN
ejpam-6152	264	35	of	of	ADP
ejpam-6152	264	36	the	the	DET
ejpam-6152	264	37	theorem	theorem	NOUN
ejpam-6152	264	38	,	,	PUNCT
ejpam-6152	264	39	ψ	ψ	X
ejpam-6152	264	40	is	be	AUX
ejpam-6152	264	41	a	a	DET
ejpam-6152	264	42	contraction	contraction	NOUN
ejpam-6152	264	43	and	and	CCONJ
ejpam-6152	264	44	thus	thus	ADV
ejpam-6152	264	45	has	have	VERB
ejpam-6152	264	46	a	a	DET
ejpam-6152	264	47	fixed	fix	VERB
ejpam-6152	264	48	point	point	NOUN
ejpam-6152	264	49	.	.	PUNCT
ejpam-6152	265	1	applying	apply	VERB
ejpam-6152	265	2	theorem	theorem	NOUN
ejpam-6152	265	3	1	1	NUM
ejpam-6152	265	4	,	,	PUNCT
ejpam-6152	265	5	we	we	PRON
ejpam-6152	265	6	conclude	conclude	VERB
ejpam-6152	265	7	that	that	SCONJ
ejpam-6152	265	8	ψ	ψ	NOUN
ejpam-6152	265	9	is	be	AUX
ejpam-6152	265	10	pi	pi	NOUN
ejpam-6152	265	11	-	-	PUNCT
ejpam-6152	265	12	card	card	NOUN
ejpam-6152	265	13	ψ	ψ	NOUN
ejpam-6152	265	14	-	-	ADJ
ejpam-6152	265	15	stable	stable	ADJ
ejpam-6152	265	16	,	,	PUNCT
ejpam-6152	265	17	completing	complete	VERB
ejpam-6152	265	18	the	the	DET
ejpam-6152	265	19	proof	proof	NOUN
ejpam-6152	265	20	.	.	PUNCT
ejpam-6152	266	1	6	6	X
ejpam-6152	266	2	.	.	X
ejpam-6152	266	3	hyers	hyer	NOUN
ejpam-6152	266	4	-	-	PUNCT
ejpam-6152	266	5	ulam	ulam	PROPN
ejpam-6152	266	6	stability	stability	PROPN
ejpam-6152	266	7	analysis	analysis	NOUN
ejpam-6152	266	8	definition	definition	NOUN
ejpam-6152	266	9	4	4	NUM
ejpam-6152	266	10	.	.	PUNCT
ejpam-6152	266	11	consider	consider	VERB
ejpam-6152	266	12	the	the	DET
ejpam-6152	266	13	fractional	fractional	ADJ
ejpam-6152	266	14	-	-	PUNCT
ejpam-6152	266	15	order	order	NOUN
ejpam-6152	266	16	system	system	NOUN
ejpam-6152	266	17	given	give	VERB
ejpam-6152	266	18	in	in	ADP
ejpam-6152	266	19	(	(	PUNCT
ejpam-6152	266	20	1	1	NUM
ejpam-6152	266	21	)	)	PUNCT
ejpam-6152	266	22	.	.	PUNCT
ejpam-6152	267	1	the	the	DET
ejpam-6152	267	2	system	system	NOUN
ejpam-6152	267	3	is	be	AUX
ejpam-6152	267	4	said	say	VERB
ejpam-6152	267	5	to	to	PART
ejpam-6152	267	6	satisfy	satisfy	VERB
ejpam-6152	267	7	hyers	hyers	PROPN
ejpam-6152	267	8	-	-	PUNCT
ejpam-6152	267	9	ulam	ulam	PROPN
ejpam-6152	267	10	(	(	PUNCT
ejpam-6152	267	11	hu	hu	PROPN
ejpam-6152	267	12	)	)	PUNCT
ejpam-6152	267	13	stability	stability	NOUN
ejpam-6152	267	14	if	if	SCONJ
ejpam-6152	267	15	there	there	PRON
ejpam-6152	267	16	exists	exist	VERB
ejpam-6152	267	17	a	a	DET
ejpam-6152	267	18	positive	positive	ADJ
ejpam-6152	267	19	constant	constant	ADJ
ejpam-6152	267	20	cψ	cψ	NOUN
ejpam-6152	267	21	such	such	ADJ
ejpam-6152	267	22	that	that	PRON
ejpam-6152	267	23	for	for	ADP
ejpam-6152	267	24	every	every	DET
ejpam-6152	267	25	ε	ε	PROPN
ejpam-6152	267	26	>	>	X
ejpam-6152	267	27	0	0	PROPN
ejpam-6152	267	28	,	,	PUNCT
ejpam-6152	267	29	any	any	DET
ejpam-6152	267	30	function	function	NOUN
ejpam-6152	267	31	φ∗	φ∗	NOUN
ejpam-6152	267	32	∈	∈	PROPN
ejpam-6152	267	33	φ	φ	NOUN
ejpam-6152	267	34	fulfilling	fulfil	VERB
ejpam-6152	267	35	the	the	DET
ejpam-6152	267	36	inequality:∥∥∥cf0	inequality:∥∥∥cf0	NOUN
ejpam-6152	267	37	d	d	X
ejpam-6152	267	38	α̌	α̌	PUNCT
ejpam-6152	267	39	0,tφ	0,tφ	NUM
ejpam-6152	267	40	∗	∗	PROPN
ejpam-6152	267	41	−ψ(t	−ψ(t	PROPN
ejpam-6152	267	42	,	,	PUNCT
ejpam-6152	267	43	φ∗	φ∗	NOUN
ejpam-6152	267	44	)	)	PUNCT
ejpam-6152	267	45	∥∥∥	∥∥∥	PROPN
ejpam-6152	267	46	≤	≤	NUM
ejpam-6152	267	47	ε	ε	PROPN
ejpam-6152	267	48	,	,	PUNCT
ejpam-6152	267	49	∀t	∀t	PROPN
ejpam-6152	267	50	∈	∈	PROPN
ejpam-6152	267	51	j	j	PROPN
ejpam-6152	267	52	,	,	PUNCT
ejpam-6152	267	53	(	(	PUNCT
ejpam-6152	267	54	3	3	X
ejpam-6152	267	55	)	)	PUNCT
ejpam-6152	267	56	admits	admit	VERB
ejpam-6152	267	57	a	a	DET
ejpam-6152	267	58	unique	unique	ADJ
ejpam-6152	267	59	solution	solution	NOUN
ejpam-6152	267	60	φ	φ	PROPN
ejpam-6152	267	61	∈	∈	PROPN
ejpam-6152	267	62	φ	φ	PROPN
ejpam-6152	267	63	to	to	ADP
ejpam-6152	267	64	the	the	DET
ejpam-6152	267	65	unperturbed	unperturbed	ADJ
ejpam-6152	267	66	system	system	NOUN
ejpam-6152	267	67	satisfying	satisfy	VERB
ejpam-6152	267	68	the	the	DET
ejpam-6152	267	69	initial	initial	ADJ
ejpam-6152	267	70	condition	condition	NOUN
ejpam-6152	267	71	φ(0	φ(0	ADJ
ejpam-6152	267	72	)	)	PUNCT
ejpam-6152	267	73	=	=	SYM
ejpam-6152	267	74	φ∗(0	φ∗(0	NOUN
ejpam-6152	267	75	)	)	PUNCT
ejpam-6152	267	76	,	,	PUNCT
ejpam-6152	267	77	and	and	CCONJ
ejpam-6152	267	78	the	the	DET
ejpam-6152	267	79	bound	bind	VERB
ejpam-6152	267	80	:	:	PUNCT
ejpam-6152	267	81	∥∥∥φ∗	∥∥∥φ∗	NUM
ejpam-6152	267	82	−	−	PROPN
ejpam-6152	267	83	φ	φ	PROPN
ejpam-6152	267	84	∥∥∥	∥∥∥	PROPN
ejpam-6152	267	85	≤	≤	NUM
ejpam-6152	267	86	cψε	cψε	NOUN
ejpam-6152	267	87	,	,	PUNCT
ejpam-6152	267	88	∀t	∀t	PROPN
ejpam-6152	267	89	∈	∈	PROPN
ejpam-6152	267	90	j	j	PROPN
ejpam-6152	267	91	.	.	PUNCT
ejpam-6152	268	1	here	here	ADV
ejpam-6152	268	2	,	,	PUNCT
ejpam-6152	268	3	φ∗	φ∗	NOUN
ejpam-6152	268	4	:	:	PUNCT
ejpam-6152	268	5	=	=	NOUN
ejpam-6152	268	6	y∗1y∗2	y∗1y∗2	PRON
ejpam-6152	268	7	y∗3	y∗3	NOUN
ejpam-6152	268	8			NOUN
ejpam-6152	268	9	,	,	PUNCT
ejpam-6152	268	10	φ∗(0	φ∗(0	NOUN
ejpam-6152	268	11	)	)	PUNCT
ejpam-6152	268	12	:	:	PUNCT
ejpam-6152	268	13	=	=	SYM
ejpam-6152	268	14	y∗1(0)y∗2(0	y∗1(0)y∗2(0	NOUN
ejpam-6152	268	15	)	)	PUNCT
ejpam-6152	268	16	y∗3(0	y∗3(0	NOUN
ejpam-6152	268	17	)	)	PUNCT
ejpam-6152	268	18			NOUN
ejpam-6152	268	19	,	,	PUNCT
ejpam-6152	268	20	and	and	CCONJ
ejpam-6152	268	21	ψ(t	ψ(t	PROPN
ejpam-6152	268	22	,	,	PUNCT
ejpam-6152	268	23	φ∗	φ∗	NOUN
ejpam-6152	268	24	)	)	PUNCT
ejpam-6152	268	25	:	:	PUNCT
ejpam-6152	269	1	=	=	NOUN
ejpam-6152	269	2	λ1(t	λ1(t	NUM
ejpam-6152	269	3	,	,	PUNCT
ejpam-6152	269	4	ǔ	ǔ	PRON
ejpam-6152	269	5	,	,	PUNCT
ejpam-6152	269	6	v̌	v̌	NOUN
ejpam-6152	269	7	,	,	PUNCT
ejpam-6152	269	8	w̌	w̌	X
ejpam-6152	269	9	)	)	PUNCT
ejpam-6152	269	10	λ2(t	λ2(t	PROPN
ejpam-6152	269	11	,	,	PUNCT
ejpam-6152	269	12	ǔ	ǔ	PROPN
ejpam-6152	269	13	,	,	PUNCT
ejpam-6152	269	14	v̌	v̌	NOUN
ejpam-6152	269	15	,	,	PUNCT
ejpam-6152	269	16	w̌	w̌	X
ejpam-6152	269	17	)	)	PUNCT
ejpam-6152	269	18	λ3(t	λ3(t	PROPN
ejpam-6152	269	19	,	,	PUNCT
ejpam-6152	269	20	ǔ	ǔ	PROPN
ejpam-6152	269	21	,	,	PUNCT
ejpam-6152	269	22	v̌	v̌	NOUN
ejpam-6152	269	23	,	,	PUNCT
ejpam-6152	269	24	w̌	w̌	NOUN
ejpam-6152	269	25	)	)	PUNCT
ejpam-6152	269	26			NOUN
ejpam-6152	269	27	.	.	PUNCT
ejpam-6152	270	1	definition	definition	NOUN
ejpam-6152	270	2	5	5	NUM
ejpam-6152	270	3	.	.	PUNCT
ejpam-6152	271	1	the	the	DET
ejpam-6152	271	2	system	system	NOUN
ejpam-6152	271	3	(	(	PUNCT
ejpam-6152	271	4	1	1	X
ejpam-6152	271	5	)	)	PUNCT
ejpam-6152	271	6	possesses	possesse	NOUN
ejpam-6152	271	7	generalized	generalize	VERB
ejpam-6152	271	8	hu	hu	PROPN
ejpam-6152	271	9	stability	stability	NOUN
ejpam-6152	271	10	if	if	SCONJ
ejpam-6152	271	11	there	there	PRON
ejpam-6152	271	12	exists	exist	VERB
ejpam-6152	271	13	a	a	DET
ejpam-6152	271	14	function	function	NOUN
ejpam-6152	271	15	γψ	γψ	ADV
ejpam-6152	271	16	:	:	PUNCT
ejpam-6152	271	17	j	j	PROPN
ejpam-6152	271	18	→	→	SYM
ejpam-6152	271	19	r+	r+	ADV
ejpam-6152	271	20	,	,	PUNCT
ejpam-6152	271	21	continuous	continuous	ADJ
ejpam-6152	271	22	with	with	ADP
ejpam-6152	271	23	γψ(0	γψ(0	NOUN
ejpam-6152	271	24	)	)	PUNCT
ejpam-6152	271	25	=	=	SYM
ejpam-6152	271	26	0	0	NUM
ejpam-6152	271	27	,	,	PUNCT
ejpam-6152	271	28	such	such	ADJ
ejpam-6152	271	29	that	that	SCONJ
ejpam-6152	271	30	for	for	ADP
ejpam-6152	271	31	all	all	DET
ejpam-6152	271	32	φ∗	φ∗	NOUN
ejpam-6152	271	33	∈	∈	NOUN
ejpam-6152	271	34	φ	φ	NOUN
ejpam-6152	271	35	satisfying	satisfy	VERB
ejpam-6152	271	36	(	(	PUNCT
ejpam-6152	271	37	3	3	NUM
ejpam-6152	271	38	)	)	PUNCT
ejpam-6152	271	39	,	,	PUNCT
ejpam-6152	271	40	there	there	PRON
ejpam-6152	271	41	exists	exist	VERB
ejpam-6152	271	42	a	a	DET
ejpam-6152	271	43	unique	unique	ADJ
ejpam-6152	271	44	solution	solution	NOUN
ejpam-6152	271	45	φ	φ	PROPN
ejpam-6152	271	46	∈	∈	PROPN
ejpam-6152	271	47	φ	φ	X
ejpam-6152	271	48	to	to	ADP
ejpam-6152	271	49	(	(	PUNCT
ejpam-6152	271	50	1	1	X
ejpam-6152	271	51	)	)	PUNCT
ejpam-6152	271	52	such	such	ADJ
ejpam-6152	271	53	that:∥∥∥φ∗	that:∥∥∥φ∗	NUM
ejpam-6152	271	54	−	−	PROPN
ejpam-6152	271	55	φ	φ	PROPN
ejpam-6152	271	56	∥∥∥	∥∥∥	PROPN
ejpam-6152	271	57	≤	≤	NUM
ejpam-6152	271	58	γψ(ε	γψ(ε	ADJ
ejpam-6152	271	59	)	)	PUNCT
ejpam-6152	271	60	,	,	PUNCT
ejpam-6152	271	61	∀t	∀t	PROPN
ejpam-6152	271	62	∈	∈	PROPN
ejpam-6152	271	63	j	j	PROPN
ejpam-6152	271	64	.	.	PUNCT
ejpam-6152	272	1	s.	s.	PROPN
ejpam-6152	272	2	saber	saber	PROPN
ejpam-6152	272	3	et	et	PROPN
ejpam-6152	273	1	al	al	PROPN
ejpam-6152	273	2	.	.	PUNCT
ejpam-6152	273	3	/	/	SYM
ejpam-6152	273	4	eur	eur	PROPN
ejpam-6152	273	5	.	.	PUNCT
ejpam-6152	274	1	j.	j.	PROPN
ejpam-6152	274	2	pure	pure	PROPN
ejpam-6152	274	3	appl	appl	PROPN
ejpam-6152	274	4	.	.	PROPN
ejpam-6152	274	5	math	math	PROPN
ejpam-6152	274	6	,	,	PUNCT
ejpam-6152	274	7	18	18	NUM
ejpam-6152	274	8	(	(	PUNCT
ejpam-6152	274	9	2	2	NUM
ejpam-6152	274	10	)	)	PUNCT
ejpam-6152	274	11	(	(	PUNCT
ejpam-6152	274	12	2025	2025	NUM
ejpam-6152	274	13	)	)	PUNCT
ejpam-6152	274	14	,	,	PUNCT
ejpam-6152	274	15	6152	6152	NUM
ejpam-6152	274	16	11	11	NUM
ejpam-6152	274	17	of	of	ADP
ejpam-6152	274	18	24	24	NUM
ejpam-6152	274	19	remark	remark	NOUN
ejpam-6152	274	20	1	1	NUM
ejpam-6152	274	21	.	.	PUNCT
ejpam-6152	275	1	a	a	DET
ejpam-6152	275	2	perturbation	perturbation	NOUN
ejpam-6152	275	3	function	function	NOUN
ejpam-6152	275	4	∆	∆	PROPN
ejpam-6152	275	5	∈	∈	PROPN
ejpam-6152	275	6	c(j	c(j	PROPN
ejpam-6152	275	7	)	)	PUNCT
ejpam-6152	275	8	is	be	AUX
ejpam-6152	275	9	introduced	introduce	VERB
ejpam-6152	275	10	with	with	ADP
ejpam-6152	275	11	the	the	DET
ejpam-6152	275	12	properties	property	NOUN
ejpam-6152	275	13	∆(0	∆(0	NOUN
ejpam-6152	275	14	)	)	PUNCT
ejpam-6152	276	1	=	=	SYM
ejpam-6152	276	2	0	0	PUNCT
ejpam-6152	277	1	and	and	CCONJ
ejpam-6152	277	2	:	:	PUNCT
ejpam-6152	277	3	(	(	PUNCT
ejpam-6152	277	4	i	i	NOUN
ejpam-6152	277	5	)	)	PUNCT
ejpam-6152	277	6	|∆|	|∆|	PROPN
ejpam-6152	277	7	≤	≤	ADJ
ejpam-6152	277	8	ε	ε	PROPN
ejpam-6152	277	9	for	for	ADP
ejpam-6152	277	10	all	all	DET
ejpam-6152	277	11	t	t	NOUN
ejpam-6152	277	12	∈	∈	PROPN
ejpam-6152	277	13	j	j	PROPN
ejpam-6152	277	14	and	and	CCONJ
ejpam-6152	277	15	ε	ε	PROPN
ejpam-6152	277	16	>	>	X
ejpam-6152	277	17	0	0	NUM
ejpam-6152	277	18	;	;	PUNCT
ejpam-6152	277	19	(	(	PUNCT
ejpam-6152	277	20	ii	ii	NOUN
ejpam-6152	277	21	)	)	PUNCT
ejpam-6152	277	22	cf	cf	NOUN
ejpam-6152	277	23	0	0	NUM
ejpam-6152	278	1	d	d	X
ejpam-6152	278	2	α̌	α̌	NUM
ejpam-6152	278	3	0,tφ	0,tφ	NUM
ejpam-6152	278	4	∗	∗	NOUN
ejpam-6152	278	5	=	=	PUNCT
ejpam-6152	278	6	ψ(t	ψ(t	PROPN
ejpam-6152	278	7	,	,	PUNCT
ejpam-6152	278	8	φ∗	φ∗	NOUN
ejpam-6152	278	9	)	)	PUNCT
ejpam-6152	278	10	+	+	CCONJ
ejpam-6152	278	11	∆	∆	PROPN
ejpam-6152	278	12	,	,	PUNCT
ejpam-6152	278	13	where	where	SCONJ
ejpam-6152	278	14	∆	∆	PUNCT
ejpam-6152	278	15	=	=	PRON
ejpam-6152	279	1	[	[	PUNCT
ejpam-6152	279	2	∆1,∆2,∆3	∆1,∆2,∆3	X
ejpam-6152	279	3	]	]	X
ejpam-6152	279	4	⊤	⊤	NUM
ejpam-6152	279	5	.	.	PUNCT
ejpam-6152	280	1	lemma	lemma	PROPN
ejpam-6152	280	2	1	1	NUM
ejpam-6152	280	3	.	.	PUNCT
ejpam-6152	281	1	the	the	DET
ejpam-6152	281	2	perturbed	perturb	VERB
ejpam-6152	281	3	solution	solution	NOUN
ejpam-6152	281	4	φ∗	φ∗	NOUN
ejpam-6152	281	5	∆	∆	PROPN
ejpam-6152	281	6	to	to	ADP
ejpam-6152	281	7	the	the	DET
ejpam-6152	281	8	equation	equation	NOUN
ejpam-6152	281	9	:	:	PUNCT
ejpam-6152	281	10	{	{	PUNCT
ejpam-6152	281	11	cf	cf	NOUN
ejpam-6152	281	12	0	0	NUM
ejpam-6152	282	1	d	d	X
ejpam-6152	282	2	α̌	α̌	NUM
ejpam-6152	282	3	0,tφ	0,tφ	NUM
ejpam-6152	282	4	∗	∗	NOUN
ejpam-6152	282	5	=	=	PUNCT
ejpam-6152	282	6	ψ(t	ψ(t	PROPN
ejpam-6152	282	7	,	,	PUNCT
ejpam-6152	282	8	φ∗	φ∗	NOUN
ejpam-6152	282	9	)	)	PUNCT
ejpam-6152	282	10	+	+	CCONJ
ejpam-6152	282	11	∆	∆	PROPN
ejpam-6152	282	12	,	,	PUNCT
ejpam-6152	282	13	t	t	PROPN
ejpam-6152	282	14	∈	∈	PROPN
ejpam-6152	282	15	j	j	PROPN
ejpam-6152	282	16	,	,	PUNCT
ejpam-6152	282	17	φ∗(0	φ∗(0	NOUN
ejpam-6152	282	18	)	)	PUNCT
ejpam-6152	282	19	=	=	SYM
ejpam-6152	282	20	φ∗	φ∗	NOUN
ejpam-6152	282	21	0	0	NUM
ejpam-6152	282	22	,	,	PUNCT
ejpam-6152	282	23	satisfies	satisfie	NOUN
ejpam-6152	282	24	:	:	PUNCT
ejpam-6152	282	25	∣∣∣φ∗	∣∣∣φ∗	NOUN
ejpam-6152	282	26	∆	∆	PROPN
ejpam-6152	282	27	−	−	PROPN
ejpam-6152	282	28	φ∗	φ∗	NOUN
ejpam-6152	282	29	∣∣∣	∣∣∣	NOUN
ejpam-6152	282	30	≤	≤	NUM
ejpam-6152	282	31	λε	λε	PROPN
ejpam-6152	282	32	,	,	PUNCT
ejpam-6152	282	33	where	where	SCONJ
ejpam-6152	282	34	λ	λ	X
ejpam-6152	282	35	=	=	PUNCT
ejpam-6152	282	36	[	[	PUNCT
ejpam-6152	282	37	2(1−α̌	2(1−α̌	NUM
ejpam-6152	282	38	)	)	PUNCT
ejpam-6152	282	39	(	(	PUNCT
ejpam-6152	282	40	2−α̌)n(α̌	2−α̌)n(α̌	NUM
ejpam-6152	282	41	)	)	PUNCT
ejpam-6152	283	1	+	+	NUM
ejpam-6152	283	2	t	t	PROPN
ejpam-6152	283	3	2α̌	2α̌	NUM
ejpam-6152	283	4	(	(	PUNCT
ejpam-6152	283	5	2−α̌)n(α̌	2−α̌)n(α̌	NUM
ejpam-6152	283	6	)	)	PUNCT
ejpam-6152	283	7	]	]	PUNCT
ejpam-6152	283	8	.	.	PUNCT
ejpam-6152	284	1	proof	proof	NOUN
ejpam-6152	284	2	.	.	PUNCT
ejpam-6152	285	1	the	the	DET
ejpam-6152	285	2	function	function	NOUN
ejpam-6152	285	3	φ∗	φ∗	NOUN
ejpam-6152	285	4	satisfies	satisfie	NOUN
ejpam-6152	285	5	:	:	PUNCT
ejpam-6152	285	6	φ∗	φ∗	NOUN
ejpam-6152	285	7	=	=	NOUN
ejpam-6152	285	8	φ∗	φ∗	NOUN
ejpam-6152	285	9	0	0	NUM
ejpam-6152	286	1	+	+	CCONJ
ejpam-6152	286	2	2(1−	2(1−	NUM
ejpam-6152	286	3	α̌	α̌	NUM
ejpam-6152	286	4	)	)	PUNCT
ejpam-6152	286	5	(	(	PUNCT
ejpam-6152	286	6	2−	2−	NUM
ejpam-6152	286	7	α̌)n(α̌	α̌)n(α̌	NOUN
ejpam-6152	286	8	)	)	PUNCT
ejpam-6152	286	9	ψ(t	ψ(t	PROPN
ejpam-6152	286	10	,	,	PUNCT
ejpam-6152	286	11	φ∗	φ∗	NOUN
ejpam-6152	286	12	)	)	PUNCT
ejpam-6152	287	1	+	+	CCONJ
ejpam-6152	287	2	2α̌	2α̌	NUM
ejpam-6152	287	3	(	(	PUNCT
ejpam-6152	287	4	2−	2−	NUM
ejpam-6152	287	5	α̌)n(α̌	α̌)n(α̌	NOUN
ejpam-6152	287	6	)	)	PUNCT
ejpam-6152	288	1	∫	∫	PROPN
ejpam-6152	288	2	t	t	PROPN
ejpam-6152	288	3	0	0	NUM
ejpam-6152	289	1	(	(	PUNCT
ejpam-6152	289	2	t−s)α̌−1ψ(s	t−s)α̌−1ψ(s	ADJ
ejpam-6152	289	3	,	,	PUNCT
ejpam-6152	289	4	φ∗(s))ds	φ∗(s))ds	X
ejpam-6152	289	5	.	.	NOUN
ejpam-6152	289	6	utilizing	utilize	VERB
ejpam-6152	289	7	the	the	DET
ejpam-6152	289	8	perturbation	perturbation	NOUN
ejpam-6152	289	9	properties	property	NOUN
ejpam-6152	289	10	in	in	ADP
ejpam-6152	289	11	remark	remark	NOUN
ejpam-6152	289	12	1	1	NUM
ejpam-6152	289	13	,	,	PUNCT
ejpam-6152	289	14	we	we	PRON
ejpam-6152	289	15	obtain:∣∣∣φ∗	obtain:∣∣∣φ∗	VERB
ejpam-6152	289	16	∆	∆	PROPN
ejpam-6152	290	1	−	−	PROPN
ejpam-6152	290	2	φ∗	φ∗	NOUN
ejpam-6152	290	3	∣∣∣	∣∣∣	NOUN
ejpam-6152	290	4	≤	≤	NUM
ejpam-6152	290	5	λε	λε	PROPN
ejpam-6152	290	6	.	.	PROPN
ejpam-6152	290	7	theorem	theorem	NOUN
ejpam-6152	290	8	2	2	NUM
ejpam-6152	290	9	.	.	PUNCT
ejpam-6152	291	1	the	the	DET
ejpam-6152	291	2	fractional	fractional	ADJ
ejpam-6152	291	3	-	-	PUNCT
ejpam-6152	291	4	order	order	NOUN
ejpam-6152	291	5	system	system	NOUN
ejpam-6152	291	6	(	(	PUNCT
ejpam-6152	291	7	1	1	X
ejpam-6152	291	8	)	)	PUNCT
ejpam-6152	291	9	exhibits	exhibit	VERB
ejpam-6152	291	10	hyers	hyer	NOUN
ejpam-6152	291	11	-	-	PUNCT
ejpam-6152	291	12	ulam	ulam	PROPN
ejpam-6152	291	13	(	(	PUNCT
ejpam-6152	291	14	hu	hu	NOUN
ejpam-6152	291	15	)	)	PUNCT
ejpam-6152	291	16	stability	stability	NOUN
ejpam-6152	291	17	.	.	PUNCT
ejpam-6152	292	1	proof	proof	NOUN
ejpam-6152	292	2	.	.	PUNCT
ejpam-6152	293	1	let	let	VERB
ejpam-6152	293	2	φ∗	φ∗	NOUN
ejpam-6152	293	3	be	be	AUX
ejpam-6152	293	4	an	an	DET
ejpam-6152	293	5	approximate	approximate	ADJ
ejpam-6152	293	6	solution	solution	NOUN
ejpam-6152	293	7	satisfying∥∥cf	satisfying∥∥cf	PROPN
ejpam-6152	293	8	0	0	PROPN
ejpam-6152	294	1	dα̌	dα̌	PROPN
ejpam-6152	294	2	t	t	PROPN
ejpam-6152	294	3	φ	φ	PROPN
ejpam-6152	294	4	∗(t)−ψ(t	∗(t)−ψ(t	PROPN
ejpam-6152	294	5	,	,	PUNCT
ejpam-6152	294	6	φ∗(t	φ∗(t	NOUN
ejpam-6152	294	7	)	)	PUNCT
ejpam-6152	294	8	)	)	PUNCT
ejpam-6152	295	1	∥∥	∥∥	PROPN
ejpam-6152	295	2	≤	≤	X
ejpam-6152	295	3	ε	ε	PROPN
ejpam-6152	295	4	,	,	PUNCT
ejpam-6152	295	5	∀t	∀t	PROPN
ejpam-6152	295	6	∈	∈	PROPN
ejpam-6152	295	7	j	j	PROPN
ejpam-6152	295	8	,	,	PUNCT
ejpam-6152	295	9	and	and	CCONJ
ejpam-6152	295	10	let	let	VERB
ejpam-6152	295	11	φ	φ	PROPN
ejpam-6152	295	12	be	be	AUX
ejpam-6152	295	13	the	the	DET
ejpam-6152	295	14	exact	exact	ADJ
ejpam-6152	295	15	solution	solution	NOUN
ejpam-6152	295	16	of	of	ADP
ejpam-6152	295	17	the	the	DET
ejpam-6152	295	18	system	system	NOUN
ejpam-6152	295	19	with	with	ADP
ejpam-6152	295	20	the	the	DET
ejpam-6152	295	21	same	same	ADJ
ejpam-6152	295	22	initial	initial	ADJ
ejpam-6152	295	23	condition	condition	NOUN
ejpam-6152	295	24	.	.	PUNCT
ejpam-6152	296	1	then	then	ADV
ejpam-6152	296	2	,	,	PUNCT
ejpam-6152	296	3	using	use	VERB
ejpam-6152	296	4	the	the	DET
ejpam-6152	296	5	integral	integral	ADJ
ejpam-6152	296	6	form	form	NOUN
ejpam-6152	296	7	of	of	ADP
ejpam-6152	296	8	the	the	DET
ejpam-6152	296	9	caputo	caputo	PROPN
ejpam-6152	296	10	-	-	PUNCT
ejpam-6152	296	11	fabrizio	fabrizio	PROPN
ejpam-6152	296	12	operator	operator	NOUN
ejpam-6152	296	13	,	,	PUNCT
ejpam-6152	296	14	we	we	PRON
ejpam-6152	296	15	get	get	VERB
ejpam-6152	296	16	∥φ∗	∥φ∗	NOUN
ejpam-6152	296	17	−	−	PROPN
ejpam-6152	296	18	φ∥	φ∥	NOUN
ejpam-6152	296	19	≤	≤	NUM
ejpam-6152	296	20	λε+	λε+	NOUN
ejpam-6152	296	21	2(1−	2(1−	PROPN
ejpam-6152	296	22	α̌	α̌	NUM
ejpam-6152	296	23	)	)	PUNCT
ejpam-6152	296	24	(	(	PUNCT
ejpam-6152	296	25	2−	2−	NUM
ejpam-6152	296	26	α̌)n(α̌	α̌)n(α̌	NOUN
ejpam-6152	296	27	)	)	PUNCT
ejpam-6152	296	28	sup	sup	NOUN
ejpam-6152	296	29	t∈j	t∈j	NOUN
ejpam-6152	296	30	∥ψ(t	∥ψ(t	PROPN
ejpam-6152	296	31	,	,	PUNCT
ejpam-6152	296	32	φ∗)−ψ(t	φ∗)−ψ(t	NUM
ejpam-6152	296	33	,	,	PUNCT
ejpam-6152	296	34	φ)∥	φ)∥	PROPN
ejpam-6152	296	35	+	+	NUM
ejpam-6152	296	36	2α̌	2α̌	NUM
ejpam-6152	296	37	(	(	PUNCT
ejpam-6152	296	38	2−	2−	NUM
ejpam-6152	296	39	α̌)n(α̌	α̌)n(α̌	NOUN
ejpam-6152	296	40	)	)	PUNCT
ejpam-6152	296	41	sup	sup	NOUN
ejpam-6152	296	42	t∈j	t∈j	NOUN
ejpam-6152	296	43	∫	∫	PROPN
ejpam-6152	296	44	t	t	PROPN
ejpam-6152	296	45	0	0	NUM
ejpam-6152	297	1	(	(	PUNCT
ejpam-6152	297	2	t−	t−	DET
ejpam-6152	297	3	s)α̌−1	s)α̌−1	PROPN
ejpam-6152	297	4	∥ψ(s	∥ψ(s	PROPN
ejpam-6152	297	5	,	,	PUNCT
ejpam-6152	297	6	φ∗(s))−ψ(s	φ∗(s))−ψ(s	PROPN
ejpam-6152	297	7	,	,	PUNCT
ejpam-6152	297	8	φ(s))∥	φ(s))∥	X
ejpam-6152	297	9	ds	ds	X
ejpam-6152	297	10	.	.	PUNCT
ejpam-6152	297	11	assuming	assume	VERB
ejpam-6152	297	12	that	that	SCONJ
ejpam-6152	297	13	ψ	ψ	PART
ejpam-6152	297	14	satisfies	satisfie	NOUN
ejpam-6152	297	15	a	a	DET
ejpam-6152	297	16	lipschitz	lipschitz	NOUN
ejpam-6152	297	17	condition	condition	NOUN
ejpam-6152	297	18	with	with	ADP
ejpam-6152	297	19	constant	constant	ADJ
ejpam-6152	297	20	lψ	lψ	NOUN
ejpam-6152	297	21	,	,	PUNCT
ejpam-6152	297	22	we	we	PRON
ejpam-6152	297	23	obtain	obtain	VERB
ejpam-6152	297	24	:	:	PUNCT
ejpam-6152	297	25	∥φ∗	∥φ∗	NUM
ejpam-6152	297	26	−	−	NOUN
ejpam-6152	297	27	φ∥	φ∥	NOUN
ejpam-6152	297	28	≤	≤	NUM
ejpam-6152	297	29	λε+	λε+	NOUN
ejpam-6152	297	30	[	[	PUNCT
ejpam-6152	297	31	2(1−	2(1−	NUM
ejpam-6152	297	32	α̌	α̌	NUM
ejpam-6152	297	33	)	)	PUNCT
ejpam-6152	297	34	(	(	PUNCT
ejpam-6152	297	35	2−	2−	NUM
ejpam-6152	297	36	α̌)n(α̌	α̌)n(α̌	NOUN
ejpam-6152	297	37	)	)	PUNCT
ejpam-6152	297	38	+	+	NUM
ejpam-6152	297	39	t	t	NOUN
ejpam-6152	297	40	α̌	α̌	NUM
ejpam-6152	297	41	(	(	PUNCT
ejpam-6152	297	42	2−	2−	NUM
ejpam-6152	297	43	α̌)n(α̌	α̌)n(α̌	NOUN
ejpam-6152	297	44	)	)	PUNCT
ejpam-6152	297	45	]	]	PUNCT
ejpam-6152	297	46	lψ∥φ∗	lψ∥φ∗	VERB
ejpam-6152	297	47	−	−	PROPN
ejpam-6152	297	48	φ∥.	φ∥.	NOUN
ejpam-6152	297	49	rearranging	rearrange	VERB
ejpam-6152	297	50	gives	give	VERB
ejpam-6152	297	51	:	:	PUNCT
ejpam-6152	297	52	∥φ∗	∥φ∗	NUM
ejpam-6152	297	53	−	−	NOUN
ejpam-6152	297	54	φ∥	φ∥	ADP
ejpam-6152	297	55	≤	≤	ADJ
ejpam-6152	297	56	2λ	2λ	NOUN
ejpam-6152	297	57	1−	1−	NUM
ejpam-6152	297	58	λlψ	λlψ	PROPN
ejpam-6152	297	59	ε	ε	PROPN
ejpam-6152	297	60	,	,	PUNCT
ejpam-6152	297	61	provided	provide	VERB
ejpam-6152	297	62	that	that	SCONJ
ejpam-6152	297	63	λlψ	λlψ	NOUN
ejpam-6152	297	64	<	<	X
ejpam-6152	297	65	1	1	NUM
ejpam-6152	297	66	.	.	PUNCT
ejpam-6152	298	1	thus	thus	ADV
ejpam-6152	298	2	,	,	PUNCT
ejpam-6152	298	3	the	the	DET
ejpam-6152	298	4	system	system	NOUN
ejpam-6152	298	5	is	be	AUX
ejpam-6152	298	6	hyers	hyer	NOUN
ejpam-6152	298	7	-	-	PUNCT
ejpam-6152	298	8	ulam	ulam	X
ejpam-6152	298	9	stable	stable	NOUN
ejpam-6152	298	10	.	.	PUNCT
ejpam-6152	299	1	s.	s.	PROPN
ejpam-6152	299	2	saber	saber	PROPN
ejpam-6152	299	3	et	et	PROPN
ejpam-6152	299	4	al	al	PROPN
ejpam-6152	299	5	.	.	PUNCT
ejpam-6152	299	6	/	/	SYM
ejpam-6152	299	7	eur	eur	PROPN
ejpam-6152	299	8	.	.	PUNCT
ejpam-6152	300	1	j.	j.	PROPN
ejpam-6152	300	2	pure	pure	PROPN
ejpam-6152	300	3	appl	appl	PROPN
ejpam-6152	300	4	.	.	PROPN
ejpam-6152	300	5	math	math	PROPN
ejpam-6152	300	6	,	,	PUNCT
ejpam-6152	300	7	18	18	NUM
ejpam-6152	300	8	(	(	PUNCT
ejpam-6152	300	9	2	2	NUM
ejpam-6152	300	10	)	)	PUNCT
ejpam-6152	300	11	(	(	PUNCT
ejpam-6152	300	12	2025	2025	NUM
ejpam-6152	300	13	)	)	PUNCT
ejpam-6152	300	14	,	,	PUNCT
ejpam-6152	300	15	6152	6152	NUM
ejpam-6152	300	16	12	12	NUM
ejpam-6152	300	17	of	of	ADP
ejpam-6152	300	18	24	24	NUM
ejpam-6152	300	19	7	7	NUM
ejpam-6152	300	20	.	.	PUNCT
ejpam-6152	300	21	parameter	parameter	NOUN
ejpam-6152	300	22	sensitivity	sensitivity	NOUN
ejpam-6152	300	23	indices	indice	VERB
ejpam-6152	300	24	a	a	DET
ejpam-6152	300	25	key	key	ADJ
ejpam-6152	300	26	aspect	aspect	NOUN
ejpam-6152	300	27	of	of	ADP
ejpam-6152	300	28	evaluating	evaluate	VERB
ejpam-6152	300	29	our	our	PRON
ejpam-6152	300	30	model	model	NOUN
ejpam-6152	300	31	’s	’s	PART
ejpam-6152	300	32	robustness	robustness	NOUN
ejpam-6152	300	33	is	be	AUX
ejpam-6152	300	34	sensitivity	sensitivity	NOUN
ejpam-6152	300	35	analysis	analysis	NOUN
ejpam-6152	300	36	,	,	PUNCT
ejpam-6152	300	37	which	which	PRON
ejpam-6152	300	38	examines	examine	VERB
ejpam-6152	300	39	how	how	SCONJ
ejpam-6152	300	40	variations	variation	NOUN
ejpam-6152	300	41	in	in	ADP
ejpam-6152	300	42	parameters	parameter	NOUN
ejpam-6152	300	43	influence	influence	NOUN
ejpam-6152	300	44	system	system	NOUN
ejpam-6152	300	45	stability	stability	NOUN
ejpam-6152	300	46	and	and	CCONJ
ejpam-6152	300	47	glucose	glucose	NOUN
ejpam-6152	300	48	regulation	regulation	NOUN
ejpam-6152	300	49	.	.	PUNCT
ejpam-6152	301	1	we	we	PRON
ejpam-6152	301	2	assess	assess	VERB
ejpam-6152	301	3	the	the	DET
ejpam-6152	301	4	impact	impact	NOUN
ejpam-6152	301	5	of	of	ADP
ejpam-6152	301	6	small	small	ADJ
ejpam-6152	301	7	perturbations	perturbation	NOUN
ejpam-6152	301	8	in	in	ADP
ejpam-6152	301	9	critical	critical	ADJ
ejpam-6152	301	10	parameters	parameter	NOUN
ejpam-6152	301	11	such	such	ADJ
ejpam-6152	301	12	as	as	ADP
ejpam-6152	301	13	:	:	PUNCT
ejpam-6152	301	14	insulin	insulin	NOUN
ejpam-6152	301	15	absorption	absorption	NOUN
ejpam-6152	301	16	rate	rate	NOUN
ejpam-6152	301	17	(	(	PUNCT
ejpam-6152	301	18	α̌	α̌	NUM
ejpam-6152	301	19	)	)	PUNCT
ejpam-6152	301	20	,	,	PUNCT
ejpam-6152	301	21	glucose	glucose	NOUN
ejpam-6152	301	22	utilization	utilization	NOUN
ejpam-6152	301	23	rate	rate	NOUN
ejpam-6152	301	24	(	(	PUNCT
ejpam-6152	301	25	γ	γ	NOUN
ejpam-6152	301	26	)	)	PUNCT
ejpam-6152	301	27	,	,	PUNCT
ejpam-6152	301	28	delay	delay	NOUN
ejpam-6152	301	29	effects	effect	NOUN
ejpam-6152	301	30	(	(	PUNCT
ejpam-6152	301	31	α̌	α̌	NOUN
ejpam-6152	301	32	)	)	PUNCT
ejpam-6152	301	33	,	,	PUNCT
ejpam-6152	301	34	fractional	fractional	ADJ
ejpam-6152	301	35	order	order	NOUN
ejpam-6152	301	36	(	(	PUNCT
ejpam-6152	301	37	α̌	α̌	NUM
ejpam-6152	301	38	)	)	PUNCT
ejpam-6152	301	39	.	.	PUNCT
ejpam-6152	302	1	the	the	DET
ejpam-6152	302	2	following	follow	VERB
ejpam-6152	302	3	table	table	NOUN
ejpam-6152	302	4	presents	present	VERB
ejpam-6152	302	5	the	the	DET
ejpam-6152	302	6	sensitivity	sensitivity	NOUN
ejpam-6152	302	7	indices	indice	VERB
ejpam-6152	302	8	for	for	ADP
ejpam-6152	302	9	each	each	DET
ejpam-6152	302	10	parameter	parameter	NOUN
ejpam-6152	302	11	with	with	ADP
ejpam-6152	302	12	respect	respect	NOUN
ejpam-6152	302	13	to	to	ADP
ejpam-6152	302	14	the	the	DET
ejpam-6152	302	15	state	state	NOUN
ejpam-6152	302	16	variables	variable	NOUN
ejpam-6152	302	17	:	:	PUNCT
ejpam-6152	303	1	insulin	insulin	NOUN
ejpam-6152	303	2	(	(	PUNCT
ejpam-6152	303	3	ǔ	ǔ	PROPN
ejpam-6152	303	4	)	)	PUNCT
ejpam-6152	303	5	,	,	PUNCT
ejpam-6152	303	6	glucose	glucose	NOUN
ejpam-6152	303	7	(	(	PUNCT
ejpam-6152	303	8	v̌	v̌	NOUN
ejpam-6152	303	9	)	)	PUNCT
ejpam-6152	303	10	,	,	PUNCT
ejpam-6152	303	11	and	and	CCONJ
ejpam-6152	303	12	beta	beta	NOUN
ejpam-6152	303	13	-	-	PUNCT
ejpam-6152	303	14	cell	cell	NOUN
ejpam-6152	303	15	mass	mass	NOUN
ejpam-6152	303	16	(	(	PUNCT
ejpam-6152	303	17	w̌	w̌	NOUN
ejpam-6152	303	18	)	)	PUNCT
ejpam-6152	303	19	.	.	PUNCT
ejpam-6152	304	1	the	the	DET
ejpam-6152	304	2	sensitivity	sensitivity	NOUN
ejpam-6152	304	3	indices	index	NOUN
ejpam-6152	304	4	presented	present	VERB
ejpam-6152	304	5	in	in	ADP
ejpam-6152	304	6	table	table	NOUN
ejpam-6152	304	7	2	2	NUM
ejpam-6152	304	8	were	be	AUX
ejpam-6152	304	9	computed	compute	VERB
ejpam-6152	304	10	using	use	VERB
ejpam-6152	304	11	the	the	DET
ejpam-6152	304	12	following	follow	VERB
ejpam-6152	304	13	formula	formula	NOUN
ejpam-6152	304	14	:	:	PUNCT
ejpam-6152	304	15	sti	sti	PROPN
ejpam-6152	304	16	dj	dj	NOUN
ejpam-6152	305	1	=	=	PUNCT
ejpam-6152	305	2	∂ti	∂ti	PROPN
ejpam-6152	305	3	∂dj	∂dj	PROPN
ejpam-6152	305	4	×	×	NOUN
ejpam-6152	305	5	dj	dj	NOUN
ejpam-6152	305	6	ti	ti	NOUN
ejpam-6152	305	7	,	,	PUNCT
ejpam-6152	305	8	where	where	SCONJ
ejpam-6152	305	9	:	:	PUNCT
ejpam-6152	305	10	•	•	NUM
ejpam-6152	305	11	ti	ti	NOUN
ejpam-6152	305	12	is	be	AUX
ejpam-6152	305	13	the	the	DET
ejpam-6152	305	14	steady	steady	ADJ
ejpam-6152	305	15	-	-	PUNCT
ejpam-6152	305	16	state	state	NOUN
ejpam-6152	305	17	or	or	CCONJ
ejpam-6152	305	18	selected	select	VERB
ejpam-6152	305	19	state	state	NOUN
ejpam-6152	305	20	value	value	NOUN
ejpam-6152	305	21	of	of	ADP
ejpam-6152	305	22	the	the	DET
ejpam-6152	305	23	variable	variable	NOUN
ejpam-6152	305	24	ǔ	ǔ	PROPN
ejpam-6152	305	25	,	,	PUNCT
ejpam-6152	305	26	v̌	v̌	NOUN
ejpam-6152	305	27	,	,	PUNCT
ejpam-6152	305	28	or	or	CCONJ
ejpam-6152	305	29	w̌.	w̌.	VERB
ejpam-6152	305	30	•	•	ADJ
ejpam-6152	305	31	∂ti	∂ti	PROPN
ejpam-6152	305	32	∂dj	∂dj	PROPN
ejpam-6152	305	33	is	be	AUX
ejpam-6152	305	34	the	the	DET
ejpam-6152	305	35	partial	partial	ADJ
ejpam-6152	305	36	derivative	derivative	NOUN
ejpam-6152	305	37	of	of	ADP
ejpam-6152	305	38	ti	ti	NOUN
ejpam-6152	305	39	with	with	ADP
ejpam-6152	305	40	respect	respect	NOUN
ejpam-6152	305	41	to	to	ADP
ejpam-6152	305	42	the	the	DET
ejpam-6152	305	43	parameter	parameter	NOUN
ejpam-6152	305	44	dj	dj	NOUN
ejpam-6152	305	45	.	.	PUNCT
ejpam-6152	306	1	these	these	DET
ejpam-6152	306	2	derivatives	derivative	NOUN
ejpam-6152	306	3	were	be	AUX
ejpam-6152	306	4	computed	compute	VERB
ejpam-6152	306	5	numerically	numerically	ADV
ejpam-6152	306	6	using	use	VERB
ejpam-6152	306	7	finite	finite	ADJ
ejpam-6152	306	8	difference	difference	NOUN
ejpam-6152	306	9	approximations	approximation	NOUN
ejpam-6152	306	10	by	by	ADP
ejpam-6152	306	11	perturbing	perturb	VERB
ejpam-6152	306	12	each	each	DET
ejpam-6152	306	13	parameter	parameter	NOUN
ejpam-6152	306	14	slightly	slightly	ADV
ejpam-6152	306	15	(	(	PUNCT
ejpam-6152	306	16	for	for	ADP
ejpam-6152	306	17	example	example	NOUN
ejpam-6152	306	18	,	,	PUNCT
ejpam-6152	306	19	by	by	ADP
ejpam-6152	306	20	1	1	NUM
ejpam-6152	306	21	%	%	NOUN
ejpam-6152	306	22	)	)	PUNCT
ejpam-6152	306	23	and	and	CCONJ
ejpam-6152	306	24	observing	observe	VERB
ejpam-6152	306	25	the	the	DET
ejpam-6152	306	26	corresponding	corresponding	ADJ
ejpam-6152	306	27	change	change	NOUN
ejpam-6152	306	28	in	in	ADP
ejpam-6152	306	29	the	the	DET
ejpam-6152	306	30	output	output	NOUN
ejpam-6152	306	31	variables	variable	NOUN
ejpam-6152	306	32	.	.	PUNCT
ejpam-6152	307	1	the	the	DET
ejpam-6152	307	2	relative	relative	ADJ
ejpam-6152	307	3	effect	effect	NOUN
ejpam-6152	307	4	of	of	ADP
ejpam-6152	307	5	each	each	DET
ejpam-6152	307	6	parameter	parameter	NOUN
ejpam-6152	307	7	on	on	ADP
ejpam-6152	307	8	the	the	DET
ejpam-6152	307	9	state	state	NOUN
ejpam-6152	307	10	variables	variable	NOUN
ejpam-6152	307	11	was	be	AUX
ejpam-6152	307	12	then	then	ADV
ejpam-6152	307	13	quantified	quantify	VERB
ejpam-6152	307	14	using	use	VERB
ejpam-6152	307	15	the	the	DET
ejpam-6152	307	16	sensitivity	sensitivity	NOUN
ejpam-6152	307	17	formula	formula	NOUN
ejpam-6152	307	18	.	.	PUNCT
ejpam-6152	308	1	from	from	ADP
ejpam-6152	308	2	table	table	NOUN
ejpam-6152	308	3	2	2	NUM
ejpam-6152	308	4	,	,	PUNCT
ejpam-6152	308	5	we	we	PRON
ejpam-6152	308	6	observe	observe	VERB
ejpam-6152	308	7	the	the	DET
ejpam-6152	308	8	following	follow	VERB
ejpam-6152	308	9	parameter	parameter	NOUN
ejpam-6152	308	10	value	value	NOUN
ejpam-6152	308	11	interpretation	interpretation	NOUN
ejpam-6152	308	12	d1	d1	PROPN
ejpam-6152	308	13	2.04	2.04	NUM
ejpam-6152	308	14	baseline	baseline	NOUN
ejpam-6152	308	15	insulin	insulin	NOUN
ejpam-6152	308	16	degradation	degradation	NOUN
ejpam-6152	308	17	rate	rate	NOUN
ejpam-6152	308	18	in	in	ADP
ejpam-6152	308	19	the	the	DET
ejpam-6152	308	20	absence	absence	NOUN
ejpam-6152	308	21	of	of	ADP
ejpam-6152	308	22	glucose	glucose	NOUN
ejpam-6152	308	23	.	.	PUNCT
ejpam-6152	309	1	d2	d2	PROPN
ejpam-6152	309	2	0.10	0.10	NUM
ejpam-6152	309	3	insulin	insulin	NOUN
ejpam-6152	309	4	secretion	secretion	NOUN
ejpam-6152	309	5	rate	rate	NOUN
ejpam-6152	309	6	modulated	modulate	VERB
ejpam-6152	309	7	by	by	ADP
ejpam-6152	309	8	glucose	glucose	NOUN
ejpam-6152	309	9	presence	presence	NOUN
ejpam-6152	309	10	.	.	PUNCT
ejpam-6152	310	1	d3	d3	VERB
ejpam-6152	310	2	1.09	1.09	NUM
ejpam-6152	310	3	glucose	glucose	NOUN
ejpam-6152	310	4	-	-	PUNCT
ejpam-6152	310	5	dependent	dependent	ADJ
ejpam-6152	310	6	enhancement	enhancement	NOUN
ejpam-6152	310	7	of	of	ADP
ejpam-6152	310	8	insulin	insulin	NOUN
ejpam-6152	310	9	production	production	NOUN
ejpam-6152	310	10	.	.	PUNCT
ejpam-6152	311	1	d4	d4	PROPN
ejpam-6152	311	2	-1.08	-1.08	ADJ
ejpam-6152	311	3	autonomous	autonomous	ADJ
ejpam-6152	311	4	insulin	insulin	NOUN
ejpam-6152	311	5	secretion	secretion	NOUN
ejpam-6152	311	6	rate	rate	NOUN
ejpam-6152	311	7	from	from	ADP
ejpam-6152	311	8	α̌-cells	α̌-cell	NOUN
ejpam-6152	311	9	.	.	PUNCT
ejpam-6152	312	1	d5	d5	NOUN
ejpam-6152	312	2	0.03	0.03	NUM
ejpam-6152	312	3	minor	minor	ADJ
ejpam-6152	312	4	contribution	contribution	NOUN
ejpam-6152	312	5	of	of	ADP
ejpam-6152	312	6	α̌-cells	α̌-cell	NOUN
ejpam-6152	312	7	to	to	ADP
ejpam-6152	312	8	insulin	insulin	NOUN
ejpam-6152	312	9	levels	level	NOUN
ejpam-6152	312	10	.	.	PUNCT
ejpam-6152	313	1	d6	d6	NOUN
ejpam-6152	313	2	-0.06	-0.06	NUM
ejpam-6152	313	3	reduction	reduction	NOUN
ejpam-6152	313	4	in	in	ADP
ejpam-6152	313	5	insulin	insulin	NOUN
ejpam-6152	313	6	due	due	ADP
ejpam-6152	313	7	to	to	ADP
ejpam-6152	313	8	secondary	secondary	ADJ
ejpam-6152	313	9	regulatory	regulatory	ADJ
ejpam-6152	313	10	effects	effect	NOUN
ejpam-6152	313	11	.	.	PUNCT
ejpam-6152	314	1	d7	d7	PROPN
ejpam-6152	314	2	2.01	2.01	NUM
ejpam-6152	314	3	positive	positive	ADJ
ejpam-6152	314	4	feedback	feedback	NOUN
ejpam-6152	314	5	of	of	ADP
ejpam-6152	314	6	α̌-cells	α̌-cell	NOUN
ejpam-6152	314	7	on	on	ADP
ejpam-6152	314	8	insulin	insulin	NOUN
ejpam-6152	314	9	release	release	NOUN
ejpam-6152	314	10	.	.	PUNCT
ejpam-6152	315	1	d8	d8	PROPN
ejpam-6152	315	2	0.22	0.22	NUM
ejpam-6152	315	3	insulin	insulin	NOUN
ejpam-6152	315	4	’s	’s	PART
ejpam-6152	315	5	influence	influence	NOUN
ejpam-6152	315	6	on	on	ADP
ejpam-6152	315	7	glucose	glucose	NOUN
ejpam-6152	315	8	utilization	utilization	NOUN
ejpam-6152	315	9	.	.	PUNCT
ejpam-6152	316	1	d9	d9	PROPN
ejpam-6152	316	2	-3.84	-3.84	NOUN
ejpam-6152	316	3	glucose	glucose	NOUN
ejpam-6152	316	4	reduction	reduction	NOUN
ejpam-6152	316	5	rate	rate	NOUN
ejpam-6152	316	6	driven	drive	VERB
ejpam-6152	316	7	by	by	ADP
ejpam-6152	316	8	insulin	insulin	NOUN
ejpam-6152	316	9	secretion	secretion	NOUN
ejpam-6152	316	10	.	.	PUNCT
ejpam-6152	317	1	d10	d10	PROPN
ejpam-6152	317	2	-1.20	-1.20	NUM
ejpam-6152	317	3	secondary	secondary	ADJ
ejpam-6152	317	4	glucose	glucose	NOUN
ejpam-6152	317	5	depletion	depletion	NOUN
ejpam-6152	317	6	due	due	ADP
ejpam-6152	317	7	to	to	ADP
ejpam-6152	317	8	insulin	insulin	NOUN
ejpam-6152	317	9	action	action	NOUN
ejpam-6152	317	10	.	.	PUNCT
ejpam-6152	318	1	d11	d11	NOUN
ejpam-6152	318	2	0.30	0.30	NUM
ejpam-6152	318	3	natural	natural	ADJ
ejpam-6152	318	4	glucose	glucose	NOUN
ejpam-6152	318	5	production	production	NOUN
ejpam-6152	318	6	rate	rate	NOUN
ejpam-6152	318	7	in	in	ADP
ejpam-6152	318	8	the	the	DET
ejpam-6152	318	9	absence	absence	NOUN
ejpam-6152	318	10	of	of	ADP
ejpam-6152	318	11	insulin	insulin	NOUN
ejpam-6152	318	12	.	.	PUNCT
ejpam-6152	319	1	d12	d12	PROPN
ejpam-6152	319	2	1.37	1.37	NUM
ejpam-6152	319	3	suppression	suppression	NOUN
ejpam-6152	319	4	of	of	ADP
ejpam-6152	319	5	glucose	glucose	NOUN
ejpam-6152	319	6	due	due	ADP
ejpam-6152	319	7	to	to	ADP
ejpam-6152	319	8	insulin	insulin	NOUN
ejpam-6152	319	9	from	from	ADP
ejpam-6152	319	10	α̌-cells	α̌-cells	PROPN
ejpam-6152	319	11	.	.	PUNCT
ejpam-6152	320	1	d13	d13	PROPN
ejpam-6152	320	2	-0.30	-0.30	VERB
ejpam-6152	320	3	negative	negative	ADJ
ejpam-6152	320	4	contribution	contribution	NOUN
ejpam-6152	320	5	of	of	ADP
ejpam-6152	320	6	α̌-cell	α̌-cell	ADJ
ejpam-6152	320	7	insulin	insulin	NOUN
ejpam-6152	320	8	to	to	ADP
ejpam-6152	320	9	glucose	glucose	NOUN
ejpam-6152	320	10	reduction	reduction	NOUN
ejpam-6152	320	11	.	.	PUNCT
ejpam-6152	321	1	d14	d14	VERB
ejpam-6152	321	2	0.22	0.22	NUM
ejpam-6152	321	3	modulation	modulation	NOUN
ejpam-6152	321	4	of	of	ADP
ejpam-6152	321	5	glucose	glucose	NOUN
ejpam-6152	321	6	levels	level	NOUN
ejpam-6152	321	7	through	through	ADP
ejpam-6152	321	8	α̌-cell	α̌-cell	ADJ
ejpam-6152	321	9	insulin	insulin	NOUN
ejpam-6152	321	10	activity	activity	NOUN
ejpam-6152	321	11	.	.	PUNCT
ejpam-6152	322	1	d15	d15	PROPN
ejpam-6152	322	2	0.30	0.30	NUM
ejpam-6152	322	3	glucose	glucose	NOUN
ejpam-6152	322	4	-	-	PUNCT
ejpam-6152	322	5	induced	induce	VERB
ejpam-6152	322	6	stimulation	stimulation	NOUN
ejpam-6152	322	7	of	of	ADP
ejpam-6152	322	8	α̌-cell	α̌-cell	ADJ
ejpam-6152	322	9	activity	activity	NOUN
ejpam-6152	322	10	.	.	PUNCT
ejpam-6152	323	1	d16	d16	PROPN
ejpam-6152	323	2	-1.35	-1.35	ADJ
ejpam-6152	323	3	suppressive	suppressive	ADJ
ejpam-6152	323	4	effect	effect	NOUN
ejpam-6152	323	5	of	of	ADP
ejpam-6152	323	6	glucose	glucose	NOUN
ejpam-6152	323	7	on	on	ADP
ejpam-6152	323	8	α̌-cell	α̌-cell	ADJ
ejpam-6152	323	9	dynamics	dynamic	NOUN
ejpam-6152	323	10	.	.	PUNCT
ejpam-6152	324	1	d17	d17	NOUN
ejpam-6152	324	2	0.50	0.50	NUM
ejpam-6152	324	3	positive	positive	ADJ
ejpam-6152	324	4	regulation	regulation	NOUN
ejpam-6152	324	5	of	of	ADP
ejpam-6152	324	6	α̌-cell	α̌-cell	ADJ
ejpam-6152	324	7	function	function	NOUN
ejpam-6152	324	8	by	by	ADP
ejpam-6152	324	9	glucose	glucose	NOUN
ejpam-6152	324	10	.	.	PUNCT
ejpam-6152	325	1	d18	d18	NOUN
ejpam-6152	325	2	-0.42	-0.42	ADJ
ejpam-6152	325	3	inhibitory	inhibitory	ADJ
ejpam-6152	325	4	feedback	feedback	NOUN
ejpam-6152	325	5	of	of	ADP
ejpam-6152	325	6	glucose	glucose	NOUN
ejpam-6152	325	7	on	on	ADP
ejpam-6152	325	8	α̌-cells	α̌-cell	NOUN
ejpam-6152	325	9	.	.	PUNCT
ejpam-6152	326	1	d19	d19	PROPN
ejpam-6152	326	2	-0.15	-0.15	NUM
ejpam-6152	326	3	secondary	secondary	ADJ
ejpam-6152	326	4	glucose	glucose	NOUN
ejpam-6152	326	5	-	-	PUNCT
ejpam-6152	326	6	driven	drive	VERB
ejpam-6152	326	7	downregulation	downregulation	NOUN
ejpam-6152	326	8	of	of	ADP
ejpam-6152	326	9	α̌-cells	α̌-cells	PROPN
ejpam-6152	326	10	.	.	PUNCT
ejpam-6152	326	11	d20	d20	PROPN
ejpam-6152	326	12	-0.19	-0.19	NUM
ejpam-6152	326	13	constant	constant	ADJ
ejpam-6152	326	14	flux	flux	NOUN
ejpam-6152	326	15	term	term	NOUN
ejpam-6152	326	16	in	in	ADP
ejpam-6152	326	17	glucose	glucose	NOUN
ejpam-6152	326	18	homeostasis	homeostasis	NOUN
ejpam-6152	326	19	.	.	PUNCT
ejpam-6152	327	1	d21	d21	PROPN
ejpam-6152	327	2	-0.56	-0.56	NUM
ejpam-6152	327	3	basal	basal	ADJ
ejpam-6152	327	4	insulin	insulin	NOUN
ejpam-6152	327	5	production	production	NOUN
ejpam-6152	327	6	rate	rate	NOUN
ejpam-6152	327	7	under	under	ADP
ejpam-6152	327	8	normal	normal	ADJ
ejpam-6152	327	9	conditions	condition	NOUN
ejpam-6152	327	10	.	.	PUNCT
ejpam-6152	328	1	table	table	NOUN
ejpam-6152	328	2	1	1	NUM
ejpam-6152	328	3	:	:	PUNCT
ejpam-6152	328	4	parameter	parameter	NOUN
ejpam-6152	328	5	descriptions	description	NOUN
ejpam-6152	328	6	based	base	VERB
ejpam-6152	328	7	on	on	ADP
ejpam-6152	328	8	shabestari	shabestari	PROPN
ejpam-6152	328	9	et	et	PROPN
ejpam-6152	328	10	al	al	PROPN
ejpam-6152	328	11	.	.	PUNCT
ejpam-6152	329	1	[	[	X
ejpam-6152	329	2	66	66	NUM
ejpam-6152	329	3	]	]	PUNCT
ejpam-6152	329	4	.	.	PUNCT
ejpam-6152	330	1	key	key	ADJ
ejpam-6152	330	2	insights	insight	NOUN
ejpam-6152	330	3	:	:	PUNCT
ejpam-6152	330	4	•	•	ADP
ejpam-6152	330	5	the	the	DET
ejpam-6152	330	6	parameters	parameter	NOUN
ejpam-6152	330	7	d18	d18	VERB
ejpam-6152	330	8	and	and	CCONJ
ejpam-6152	330	9	d19	d19	PROPN
ejpam-6152	330	10	,	,	PUNCT
ejpam-6152	330	11	which	which	PRON
ejpam-6152	330	12	control	control	VERB
ejpam-6152	330	13	the	the	DET
ejpam-6152	330	14	decrease	decrease	NOUN
ejpam-6152	330	15	of	of	ADP
ejpam-6152	330	16	beta	beta	NOUN
ejpam-6152	330	17	-	-	PUNCT
ejpam-6152	330	18	cell	cell	NOUN
ejpam-6152	330	19	mass	mass	NOUN
ejpam-6152	330	20	,	,	PUNCT
ejpam-6152	330	21	have	have	VERB
ejpam-6152	330	22	the	the	DET
ejpam-6152	330	23	most	most	ADV
ejpam-6152	330	24	significant	significant	ADJ
ejpam-6152	330	25	impact	impact	NOUN
ejpam-6152	330	26	on	on	ADP
ejpam-6152	330	27	w̌	w̌	NOUN
ejpam-6152	330	28	,	,	PUNCT
ejpam-6152	330	29	with	with	ADP
ejpam-6152	330	30	large	large	ADJ
ejpam-6152	330	31	negative	negative	ADJ
ejpam-6152	330	32	sensitivity	sensitivity	NOUN
ejpam-6152	330	33	values	value	NOUN
ejpam-6152	330	34	.	.	PUNCT
ejpam-6152	331	1	s.	s.	PROPN
ejpam-6152	331	2	saber	saber	PROPN
ejpam-6152	331	3	et	et	PROPN
ejpam-6152	331	4	al	al	PROPN
ejpam-6152	331	5	.	.	PUNCT
ejpam-6152	331	6	/	/	SYM
ejpam-6152	331	7	eur	eur	PROPN
ejpam-6152	331	8	.	.	PUNCT
ejpam-6152	332	1	j.	j.	PROPN
ejpam-6152	332	2	pure	pure	PROPN
ejpam-6152	332	3	appl	appl	PROPN
ejpam-6152	332	4	.	.	PROPN
ejpam-6152	332	5	math	math	PROPN
ejpam-6152	332	6	,	,	PUNCT
ejpam-6152	332	7	18	18	NUM
ejpam-6152	332	8	(	(	PUNCT
ejpam-6152	332	9	2	2	NUM
ejpam-6152	332	10	)	)	PUNCT
ejpam-6152	332	11	(	(	PUNCT
ejpam-6152	332	12	2025	2025	NUM
ejpam-6152	332	13	)	)	PUNCT
ejpam-6152	332	14	,	,	PUNCT
ejpam-6152	332	15	6152	6152	NUM
ejpam-6152	332	16	13	13	NUM
ejpam-6152	332	17	of	of	ADP
ejpam-6152	332	18	24	24	NUM
ejpam-6152	332	19	parameter	parameter	NOUN
ejpam-6152	332	20	sǔ	sǔ	PROPN
ejpam-6152	332	21	sv̌	sv̌	NOUN
ejpam-6152	332	22	sw̌	sw̌	NOUN
ejpam-6152	332	23	d1	d1	PROPN
ejpam-6152	332	24	-1.4584	-1.4584	VERB
ejpam-6152	332	25	0.3645	0.3645	NUM
ejpam-6152	332	26	-0.3076	-0.3076	PROPN
ejpam-6152	332	27	d2	d2	PROPN
ejpam-6152	332	28	5.7196	5.7196	NUM
ejpam-6152	332	29	-2.0144	-2.0144	NOUN
ejpam-6152	332	30	1.3324	1.3324	NUM
ejpam-6152	332	31	d3	d3	PROPN
ejpam-6152	332	32	13.8271	13.8271	NUM
ejpam-6152	332	33	-6.4371	-6.4371	NOUN
ejpam-6152	332	34	2.8303	2.8303	NUM
ejpam-6152	332	35	d4	d4	PROPN
ejpam-6152	332	36	20.1587	20.1587	NUM
ejpam-6152	333	1	-9.1741	-9.1741	NOUN
ejpam-6152	333	2	4.2190	4.2190	NUM
ejpam-6152	333	3	d5	d5	NOUN
ejpam-6152	333	4	0.7411	0.7411	NUM
ejpam-6152	333	5	-0.5713	-0.5713	NOUN
ejpam-6152	333	6	-0.0556	-0.0556	NOUN
ejpam-6152	333	7	d6	d6	NOUN
ejpam-6152	333	8	0.0172	0.0172	NUM
ejpam-6152	333	9	0.3869	0.3869	NUM
ejpam-6152	333	10	-0.0042	-0.0042	PUNCT
ejpam-6152	334	1	d7	d7	PROPN
ejpam-6152	334	2	-0.6560	-0.6560	PROPN
ejpam-6152	335	1	1.2357	1.2357	NUM
ejpam-6152	335	2	0.0236	0.0236	NUM
ejpam-6152	335	3	d8	d8	NOUN
ejpam-6152	335	4	-2.3575	-2.3575	VERB
ejpam-6152	335	5	0.8510	0.8510	NUM
ejpam-6152	335	6	-0.6028	-0.6028	NOUN
ejpam-6152	335	7	d9	d9	PROPN
ejpam-6152	335	8	0.4925	0.4925	NUM
ejpam-6152	335	9	-0.3288	-0.3288	NOUN
ejpam-6152	335	10	0.0561	0.0561	NUM
ejpam-6152	335	11	d10	d10	PROPN
ejpam-6152	335	12	0.9667	0.9667	NUM
ejpam-6152	335	13	-0.7072	-0.7072	NOUN
ejpam-6152	335	14	0.1009	0.1009	NUM
ejpam-6152	335	15	d11	d11	PROPN
ejpam-6152	335	16	-2.5487	-2.5487	NOUN
ejpam-6152	335	17	0.5221	0.5221	NUM
ejpam-6152	335	18	-0.7848	-0.7848	ADV
ejpam-6152	335	19	d12	d12	ADJ
ejpam-6152	335	20	-2.4446	-2.4446	NOUN
ejpam-6152	335	21	2.0981	2.0981	NUM
ejpam-6152	335	22	-0.1940	-0.1940	NOUN
ejpam-6152	335	23	d13	d13	NOUN
ejpam-6152	335	24	-1.3511	-1.3511	NOUN
ejpam-6152	335	25	1.3557	1.3557	NUM
ejpam-6152	335	26	-0.0446	-0.0446	NOUN
ejpam-6152	335	27	d14	d14	ADJ
ejpam-6152	335	28	-0.4730	-0.4730	NOUN
ejpam-6152	335	29	0.7695	0.7695	NUM
ejpam-6152	335	30	0.0795	0.0795	NUM
ejpam-6152	335	31	d15	d15	PROPN
ejpam-6152	335	32	-37.0338	-37.0338	PUNCT
ejpam-6152	335	33	10.5529	10.5529	NUM
ejpam-6152	335	34	-10.0360	-10.0360	PUNCT
ejpam-6152	335	35	d16	d16	NOUN
ejpam-6152	335	36	-36.4639	-36.4639	NUM
ejpam-6152	335	37	6.4340	6.4340	NUM
ejpam-6152	335	38	-11.2552	-11.2552	NUM
ejpam-6152	335	39	d17	d17	NOUN
ejpam-6152	335	40	-37.0735	-37.0735	PUNCT
ejpam-6152	335	41	2.3980	2.3980	NUM
ejpam-6152	335	42	-12.8421	-12.8421	PUNCT
ejpam-6152	335	43	d18	d18	ADJ
ejpam-6152	335	44	-224.8819	-224.8819	NOUN
ejpam-6152	335	45	19.8675	19.8675	NUM
ejpam-6152	335	46	-78.3221	-78.3221	SYM
ejpam-6152	335	47	d19	d19	PROPN
ejpam-6152	335	48	-222.4813	-222.4813	PROPN
ejpam-6152	335	49	22.9688	22.9688	NUM
ejpam-6152	335	50	-76.4388	-76.4388	SYM
ejpam-6152	335	51	d20	d20	NOUN
ejpam-6152	335	52	1.5168	1.5168	NUM
ejpam-6152	335	53	-1.6664	-1.6664	NOUN
ejpam-6152	335	54	-0.1389	-0.1389	PROPN
ejpam-6152	335	55	d21	d21	NOUN
ejpam-6152	335	56	3.8009	3.8009	NUM
ejpam-6152	335	57	-3.0403	-3.0403	VERB
ejpam-6152	335	58	0.3757	0.3757	NUM
ejpam-6152	335	59	table	table	NOUN
ejpam-6152	335	60	2	2	NUM
ejpam-6152	335	61	:	:	PUNCT
ejpam-6152	335	62	sensitivity	sensitivity	NOUN
ejpam-6152	335	63	indices	index	NOUN
ejpam-6152	335	64	of	of	ADP
ejpam-6152	335	65	the	the	DET
ejpam-6152	335	66	parameters	parameter	NOUN
ejpam-6152	335	67	in	in	ADP
ejpam-6152	335	68	the	the	DET
ejpam-6152	335	69	glucose	glucose	NOUN
ejpam-6152	335	70	-	-	PUNCT
ejpam-6152	335	71	insulin	insulin	NOUN
ejpam-6152	335	72	-	-	PUNCT
ejpam-6152	335	73	beta	beta	NOUN
ejpam-6152	335	74	cell	cell	NOUN
ejpam-6152	335	75	model	model	NOUN
ejpam-6152	335	76	.	.	PUNCT
ejpam-6152	336	1	•	•	NUM
ejpam-6152	336	2	the	the	DET
ejpam-6152	336	3	parameters	parameter	NOUN
ejpam-6152	336	4	d15,d16,d17	d15,d16,d17	VERB
ejpam-6152	336	5	,	,	PUNCT
ejpam-6152	336	6	related	relate	VERB
ejpam-6152	336	7	to	to	ADP
ejpam-6152	336	8	the	the	DET
ejpam-6152	336	9	increase	increase	NOUN
ejpam-6152	336	10	of	of	ADP
ejpam-6152	336	11	beta	beta	NOUN
ejpam-6152	336	12	-	-	PUNCT
ejpam-6152	336	13	cells	cell	NOUN
ejpam-6152	336	14	due	due	ADJ
ejpam-6152	336	15	to	to	ADP
ejpam-6152	336	16	glucose	glucose	NOUN
ejpam-6152	336	17	,	,	PUNCT
ejpam-6152	336	18	strongly	strongly	ADV
ejpam-6152	336	19	influence	influence	VERB
ejpam-6152	336	20	insulin	insulin	NOUN
ejpam-6152	336	21	(	(	PUNCT
ejpam-6152	336	22	ǔ	ǔ	PROPN
ejpam-6152	336	23	)	)	PUNCT
ejpam-6152	336	24	,	,	PUNCT
ejpam-6152	336	25	showing	show	VERB
ejpam-6152	336	26	large	large	ADJ
ejpam-6152	336	27	negative	negative	ADJ
ejpam-6152	336	28	indices	index	NOUN
ejpam-6152	336	29	.	.	PUNCT
ejpam-6152	337	1	•	•	NUM
ejpam-6152	337	2	the	the	DET
ejpam-6152	337	3	glucose	glucose	NOUN
ejpam-6152	337	4	-	-	PUNCT
ejpam-6152	337	5	insulin	insulin	NOUN
ejpam-6152	337	6	interaction	interaction	NOUN
ejpam-6152	337	7	terms	term	NOUN
ejpam-6152	337	8	,	,	PUNCT
ejpam-6152	337	9	represented	represent	VERB
ejpam-6152	337	10	by	by	ADP
ejpam-6152	337	11	d8	d8	PROPN
ejpam-6152	337	12	,	,	PUNCT
ejpam-6152	337	13	d9	d9	PROPN
ejpam-6152	337	14	,	,	PUNCT
ejpam-6152	337	15	and	and	CCONJ
ejpam-6152	337	16	d10	d10	PROPN
ejpam-6152	337	17	,	,	PUNCT
ejpam-6152	337	18	contribute	contribute	VERB
ejpam-6152	337	19	significantly	significantly	ADV
ejpam-6152	337	20	to	to	ADP
ejpam-6152	337	21	changes	change	NOUN
ejpam-6152	337	22	in	in	ADP
ejpam-6152	337	23	glucose	glucose	NOUN
ejpam-6152	337	24	levels	level	NOUN
ejpam-6152	337	25	(	(	PUNCT
ejpam-6152	337	26	v̌	v̌	NOUN
ejpam-6152	337	27	)	)	PUNCT
ejpam-6152	337	28	.	.	PUNCT
ejpam-6152	338	1	•	•	NOUN
ejpam-6152	338	2	some	some	DET
ejpam-6152	338	3	parameters	parameter	NOUN
ejpam-6152	338	4	,	,	PUNCT
ejpam-6152	338	5	such	such	ADJ
ejpam-6152	338	6	as	as	ADP
ejpam-6152	338	7	d6	d6	NOUN
ejpam-6152	338	8	and	and	CCONJ
ejpam-6152	338	9	d7	d7	PROPN
ejpam-6152	338	10	,	,	PUNCT
ejpam-6152	338	11	have	have	VERB
ejpam-6152	338	12	minimal	minimal	ADJ
ejpam-6152	338	13	effects	effect	NOUN
ejpam-6152	338	14	on	on	ADP
ejpam-6152	338	15	all	all	DET
ejpam-6152	338	16	state	state	NOUN
ejpam-6152	338	17	variables	variable	NOUN
ejpam-6152	338	18	.	.	PUNCT
ejpam-6152	339	1	7.1	7.1	NUM
ejpam-6152	339	2	.	.	PUNCT
ejpam-6152	339	3	model	model	NOUN
ejpam-6152	339	4	mean	mean	NOUN
ejpam-6152	339	5	and	and	CCONJ
ejpam-6152	339	6	confidence	confidence	NOUN
ejpam-6152	339	7	interval	interval	NOUN
ejpam-6152	339	8	in	in	ADP
ejpam-6152	339	9	this	this	DET
ejpam-6152	339	10	study	study	NOUN
ejpam-6152	339	11	,	,	PUNCT
ejpam-6152	339	12	parameters	parameter	NOUN
ejpam-6152	339	13	for	for	ADP
ejpam-6152	339	14	the	the	DET
ejpam-6152	339	15	glucose	glucose	NOUN
ejpam-6152	339	16	-	-	PUNCT
ejpam-6152	339	17	insulin	insulin	NOUN
ejpam-6152	339	18	system	system	NOUN
ejpam-6152	339	19	are	be	AUX
ejpam-6152	339	20	obtained	obtain	VERB
ejpam-6152	339	21	from	from	ADP
ejpam-6152	339	22	experimental	experimental	ADJ
ejpam-6152	339	23	data	datum	NOUN
ejpam-6152	339	24	and	and	CCONJ
ejpam-6152	339	25	previous	previous	ADJ
ejpam-6152	339	26	literature	literature	NOUN
ejpam-6152	339	27	.	.	PUNCT
ejpam-6152	340	1	the	the	DET
ejpam-6152	340	2	initial	initial	ADJ
ejpam-6152	340	3	conditions	condition	NOUN
ejpam-6152	340	4	for	for	ADP
ejpam-6152	340	5	the	the	DET
ejpam-6152	340	6	state	state	NOUN
ejpam-6152	340	7	variables	variable	NOUN
ejpam-6152	340	8	are	be	AUX
ejpam-6152	340	9	set	set	VERB
ejpam-6152	340	10	as	as	SCONJ
ejpam-6152	340	11	follows	follow	VERB
ejpam-6152	340	12	:	:	PUNCT
ejpam-6152	340	13	ǔ(0	ǔ(0	X
ejpam-6152	340	14	)	)	PUNCT
ejpam-6152	340	15	=	=	SYM
ejpam-6152	340	16	100	100	NUM
ejpam-6152	340	17	,	,	PUNCT
ejpam-6152	340	18	v̌(0	v̌(0	ADJ
ejpam-6152	340	19	)	)	PUNCT
ejpam-6152	340	20	=	=	SYM
ejpam-6152	340	21	10	10	NUM
ejpam-6152	340	22	,	,	PUNCT
ejpam-6152	340	23	and	and	CCONJ
ejpam-6152	340	24	w̌(0	w̌(0	VERB
ejpam-6152	340	25	)	)	PUNCT
ejpam-6152	341	1	=	=	SYM
ejpam-6152	341	2	5	5	X
ejpam-6152	341	3	.	.	PUNCT
ejpam-6152	342	1	the	the	DET
ejpam-6152	342	2	parameters	parameter	NOUN
ejpam-6152	342	3	used	use	VERB
ejpam-6152	342	4	in	in	ADP
ejpam-6152	342	5	the	the	DET
ejpam-6152	342	6	model	model	NOUN
ejpam-6152	342	7	are	be	AUX
ejpam-6152	342	8	summarized	summarize	VERB
ejpam-6152	342	9	in	in	ADP
ejpam-6152	342	10	table	table	NOUN
ejpam-6152	342	11	1	1	NUM
ejpam-6152	342	12	.	.	PUNCT
ejpam-6152	342	13	to	to	PART
ejpam-6152	342	14	estimate	estimate	VERB
ejpam-6152	342	15	the	the	DET
ejpam-6152	342	16	expected	expect	VERB
ejpam-6152	342	17	solution	solution	NOUN
ejpam-6152	342	18	of	of	ADP
ejpam-6152	342	19	the	the	DET
ejpam-6152	342	20	stochastic	stochastic	ADJ
ejpam-6152	342	21	fractional	fractional	ADJ
ejpam-6152	342	22	glucose	glucose	NOUN
ejpam-6152	342	23	-	-	PUNCT
ejpam-6152	342	24	insulin	insulin	NOUN
ejpam-6152	342	25	model	model	NOUN
ejpam-6152	342	26	,	,	PUNCT
ejpam-6152	342	27	euler	euler	NOUN
ejpam-6152	342	28	-	-	PUNCT
ejpam-6152	342	29	maruyama	maruyama	NOUN
ejpam-6152	342	30	approximations	approximation	NOUN
ejpam-6152	342	31	were	be	AUX
ejpam-6152	342	32	computed	compute	VERB
ejpam-6152	342	33	using	use	VERB
ejpam-6152	342	34	10	10	NUM
ejpam-6152	342	35	,	,	PUNCT
ejpam-6152	342	36	000	000	NUM
ejpam-6152	342	37	sample	sample	NOUN
ejpam-6152	342	38	paths	path	NOUN
ejpam-6152	342	39	for	for	ADP
ejpam-6152	342	40	discretizations	discretization	NOUN
ejpam-6152	342	41	n	n	NOUN
ejpam-6152	342	42	=	=	SYM
ejpam-6152	342	43	29	29	NUM
ejpam-6152	342	44	,	,	PUNCT
ejpam-6152	342	45	210	210	NUM
ejpam-6152	342	46	,	,	PUNCT
ejpam-6152	342	47	211	211	NUM
ejpam-6152	342	48	,	,	PUNCT
ejpam-6152	342	49	212	212	NUM
ejpam-6152	342	50	,	,	PUNCT
ejpam-6152	342	51	213	213	NUM
ejpam-6152	342	52	over	over	ADP
ejpam-6152	342	53	[	[	X
ejpam-6152	342	54	0	0	NUM
ejpam-6152	342	55	,	,	PUNCT
ejpam-6152	342	56	1	1	NUM
ejpam-6152	342	57	]	]	PUNCT
ejpam-6152	342	58	.	.	PUNCT
ejpam-6152	343	1	tables	table	NOUN
ejpam-6152	343	2	3	3	NUM
ejpam-6152	343	3	and	and	CCONJ
ejpam-6152	343	4	4	4	NUM
ejpam-6152	343	5	present	present	ADJ
ejpam-6152	343	6	the	the	DET
ejpam-6152	343	7	mean	mean	NOUN
ejpam-6152	343	8	and	and	CCONJ
ejpam-6152	343	9	95	95	NUM
ejpam-6152	343	10	%	%	NOUN
ejpam-6152	343	11	confidence	confidence	NOUN
ejpam-6152	343	12	intervals	interval	NOUN
ejpam-6152	343	13	for	for	ADP
ejpam-6152	343	14	ǔ	ǔ	PRON
ejpam-6152	343	15	,	,	PUNCT
ejpam-6152	343	16	v̌	v̌	NOUN
ejpam-6152	343	17	,	,	PUNCT
ejpam-6152	343	18	and	and	CCONJ
ejpam-6152	343	19	w̌	w̌	X
ejpam-6152	343	20	over	over	ADP
ejpam-6152	343	21	time	time	NOUN
ejpam-6152	343	22	.	.	PUNCT
ejpam-6152	344	1	s.	s.	PROPN
ejpam-6152	344	2	saber	saber	PROPN
ejpam-6152	344	3	et	et	PROPN
ejpam-6152	344	4	al	al	PROPN
ejpam-6152	344	5	.	.	PUNCT
ejpam-6152	344	6	/	/	SYM
ejpam-6152	344	7	eur	eur	PROPN
ejpam-6152	344	8	.	.	PUNCT
ejpam-6152	345	1	j.	j.	PROPN
ejpam-6152	345	2	pure	pure	PROPN
ejpam-6152	345	3	appl	appl	PROPN
ejpam-6152	345	4	.	.	PROPN
ejpam-6152	345	5	math	math	PROPN
ejpam-6152	345	6	,	,	PUNCT
ejpam-6152	345	7	18	18	NUM
ejpam-6152	345	8	(	(	PUNCT
ejpam-6152	345	9	2	2	NUM
ejpam-6152	345	10	)	)	PUNCT
ejpam-6152	345	11	(	(	PUNCT
ejpam-6152	345	12	2025	2025	NUM
ejpam-6152	345	13	)	)	PUNCT
ejpam-6152	345	14	,	,	PUNCT
ejpam-6152	345	15	6152	6152	NUM
ejpam-6152	345	16	14	14	NUM
ejpam-6152	345	17	of	of	ADP
ejpam-6152	345	18	24	24	NUM
ejpam-6152	345	19	the	the	DET
ejpam-6152	345	20	mean	mean	NOUN
ejpam-6152	345	21	and	and	CCONJ
ejpam-6152	345	22	95	95	NUM
ejpam-6152	345	23	%	%	NOUN
ejpam-6152	345	24	confidence	confidence	NOUN
ejpam-6152	345	25	intervals	interval	NOUN
ejpam-6152	345	26	for	for	ADP
ejpam-6152	345	27	the	the	DET
ejpam-6152	345	28	state	state	NOUN
ejpam-6152	345	29	variables	variable	VERB
ejpam-6152	345	30	ǔ	ǔ	ADV
ejpam-6152	345	31	,	,	PUNCT
ejpam-6152	345	32	v̌	v̌	NOUN
ejpam-6152	345	33	,	,	PUNCT
ejpam-6152	345	34	and	and	CCONJ
ejpam-6152	345	35	w̌	w̌	X
ejpam-6152	345	36	(	(	PUNCT
ejpam-6152	345	37	tables	table	NOUN
ejpam-6152	345	38	3	3	NUM
ejpam-6152	345	39	and	and	CCONJ
ejpam-6152	345	40	4	4	NUM
ejpam-6152	345	41	)	)	PUNCT
ejpam-6152	345	42	were	be	AUX
ejpam-6152	345	43	estimated	estimate	VERB
ejpam-6152	345	44	using	use	VERB
ejpam-6152	345	45	stochastic	stochastic	ADJ
ejpam-6152	345	46	simulation	simulation	NOUN
ejpam-6152	345	47	.	.	PUNCT
ejpam-6152	346	1	the	the	DET
ejpam-6152	346	2	procedure	procedure	NOUN
ejpam-6152	346	3	involved	involve	VERB
ejpam-6152	346	4	:	:	PUNCT
ejpam-6152	346	5	•	•	ADP
ejpam-6152	346	6	solving	solve	VERB
ejpam-6152	346	7	the	the	DET
ejpam-6152	346	8	stochastic	stochastic	ADJ
ejpam-6152	346	9	version	version	NOUN
ejpam-6152	346	10	of	of	ADP
ejpam-6152	346	11	the	the	DET
ejpam-6152	346	12	fractional	fractional	ADJ
ejpam-6152	346	13	glucose	glucose	NOUN
ejpam-6152	346	14	-	-	PUNCT
ejpam-6152	346	15	insulin	insulin	NOUN
ejpam-6152	346	16	system	system	NOUN
ejpam-6152	346	17	using	use	VERB
ejpam-6152	346	18	the	the	DET
ejpam-6152	346	19	eulermaruyama	eulermaruyama	NOUN
ejpam-6152	346	20	method	method	NOUN
ejpam-6152	346	21	.	.	PUNCT
ejpam-6152	346	22	•	•	NUM
ejpam-6152	346	23	running	run	VERB
ejpam-6152	346	24	10	10	NUM
ejpam-6152	346	25	,	,	PUNCT
ejpam-6152	346	26	000	000	NUM
ejpam-6152	346	27	independent	independent	ADJ
ejpam-6152	346	28	sample	sample	NOUN
ejpam-6152	346	29	paths	path	NOUN
ejpam-6152	346	30	for	for	ADP
ejpam-6152	346	31	each	each	DET
ejpam-6152	346	32	time	time	NOUN
ejpam-6152	346	33	step	step	NOUN
ejpam-6152	346	34	to	to	PART
ejpam-6152	346	35	account	account	VERB
ejpam-6152	346	36	for	for	ADP
ejpam-6152	346	37	stochastic	stochastic	ADJ
ejpam-6152	346	38	variability	variability	NOUN
ejpam-6152	346	39	.	.	PUNCT
ejpam-6152	347	1	•	•	PUNCT
ejpam-6152	347	2	computing	compute	VERB
ejpam-6152	347	3	the	the	DET
ejpam-6152	347	4	expected	expect	VERB
ejpam-6152	347	5	(	(	PUNCT
ejpam-6152	347	6	mean	mean	NOUN
ejpam-6152	347	7	)	)	PUNCT
ejpam-6152	347	8	values	value	NOUN
ejpam-6152	347	9	at	at	ADP
ejpam-6152	347	10	each	each	DET
ejpam-6152	347	11	discrete	discrete	ADJ
ejpam-6152	347	12	time	time	NOUN
ejpam-6152	347	13	point	point	NOUN
ejpam-6152	347	14	using	use	VERB
ejpam-6152	347	15	:	:	PUNCT
ejpam-6152	347	16	e[x	e[x	NOUN
ejpam-6152	347	17	]	]	X
ejpam-6152	348	1	≈	≈	PROPN
ejpam-6152	348	2	1	1	NUM
ejpam-6152	348	3	10000	10000	NUM
ejpam-6152	348	4	10000∑	10000∑	NUM
ejpam-6152	348	5	i=1	i=1	PRON
ejpam-6152	348	6	xi	xi	ADP
ejpam-6152	348	7	n	n	PROPN
ejpam-6152	348	8	,	,	PUNCT
ejpam-6152	348	9	where	where	SCONJ
ejpam-6152	348	10	xi	xi	PROPN
ejpam-6152	348	11	n	n	PROPN
ejpam-6152	348	12	is	be	AUX
ejpam-6152	348	13	the	the	DET
ejpam-6152	348	14	value	value	NOUN
ejpam-6152	348	15	of	of	ADP
ejpam-6152	348	16	the	the	DET
ejpam-6152	348	17	i	i	PROPN
ejpam-6152	348	18	-	-	PUNCT
ejpam-6152	348	19	th	th	X
ejpam-6152	348	20	sample	sample	NOUN
ejpam-6152	348	21	path	path	NOUN
ejpam-6152	348	22	at	at	ADP
ejpam-6152	348	23	the	the	DET
ejpam-6152	348	24	final	final	ADJ
ejpam-6152	348	25	time	time	NOUN
ejpam-6152	348	26	t	t	NOUN
ejpam-6152	348	27	=	=	SYM
ejpam-6152	348	28	1	1	NUM
ejpam-6152	348	29	for	for	ADP
ejpam-6152	348	30	a	a	DET
ejpam-6152	348	31	given	give	VERB
ejpam-6152	348	32	number	number	NOUN
ejpam-6152	348	33	of	of	ADP
ejpam-6152	348	34	subintervals	subinterval	NOUN
ejpam-6152	348	35	n	n	X
ejpam-6152	348	36	.	.	PUNCT
ejpam-6152	348	37	•	•	NOUN
ejpam-6152	348	38	constructing	construct	VERB
ejpam-6152	348	39	the	the	DET
ejpam-6152	348	40	95	95	NUM
ejpam-6152	348	41	%	%	NOUN
ejpam-6152	348	42	confidence	confidence	NOUN
ejpam-6152	348	43	intervals	interval	NOUN
ejpam-6152	348	44	by	by	ADP
ejpam-6152	348	45	extracting	extract	VERB
ejpam-6152	348	46	the	the	DET
ejpam-6152	348	47	2.5th	2.5th	NUM
ejpam-6152	348	48	and	and	CCONJ
ejpam-6152	348	49	97.5th	97.5th	ADJ
ejpam-6152	348	50	percentiles	percentile	NOUN
ejpam-6152	348	51	from	from	ADP
ejpam-6152	348	52	the	the	DET
ejpam-6152	348	53	empirical	empirical	ADJ
ejpam-6152	348	54	distribution	distribution	NOUN
ejpam-6152	348	55	of	of	ADP
ejpam-6152	348	56	the	the	DET
ejpam-6152	348	57	simulated	simulate	VERB
ejpam-6152	348	58	values	value	NOUN
ejpam-6152	348	59	.	.	PUNCT
ejpam-6152	349	1	ti	ti	NOUN
ejpam-6152	349	2	t1	t1	NOUN
ejpam-6152	349	3	95	95	NUM
ejpam-6152	349	4	%	%	NOUN
ejpam-6152	349	5	confidence	confidence	NOUN
ejpam-6152	349	6	interval	interval	NOUN
ejpam-6152	349	7	t2	t2	NOUN
ejpam-6152	349	8	95	95	NUM
ejpam-6152	349	9	%	%	NOUN
ejpam-6152	349	10	confidence	confidence	NOUN
ejpam-6152	349	11	interval	interval	NOUN
ejpam-6152	349	12	lower	lower	ADV
ejpam-6152	349	13	bound	bind	VERB
ejpam-6152	349	14	upper	upper	ADJ
ejpam-6152	349	15	bound	bind	VERB
ejpam-6152	349	16	lower	lower	ADV
ejpam-6152	349	17	bound	bind	VERB
ejpam-6152	349	18	upper	upper	ADJ
ejpam-6152	349	19	bound	bind	VERB
ejpam-6152	349	20	0	0	NUM
ejpam-6152	349	21	100	100	NUM
ejpam-6152	349	22	95	95	NUM
ejpam-6152	349	23	105	105	NUM
ejpam-6152	349	24	10	10	NUM
ejpam-6152	349	25	8	8	NUM
ejpam-6152	349	26	12	12	NUM
ejpam-6152	349	27	0.1	0.1	NUM
ejpam-6152	349	28	98	98	NUM
ejpam-6152	349	29	94	94	NUM
ejpam-6152	349	30	102	102	NUM
ejpam-6152	349	31	9.5	9.5	NUM
ejpam-6152	349	32	7.5	7.5	NUM
ejpam-6152	349	33	11.5	11.5	NUM
ejpam-6152	349	34	0.2	0.2	NUM
ejpam-6152	349	35	96	96	NUM
ejpam-6152	349	36	92	92	NUM
ejpam-6152	349	37	100	100	NUM
ejpam-6152	349	38	9	9	NUM
ejpam-6152	349	39	7	7	NUM
ejpam-6152	349	40	11	11	NUM
ejpam-6152	349	41	0.3	0.3	NUM
ejpam-6152	349	42	94	94	NUM
ejpam-6152	349	43	90	90	NUM
ejpam-6152	349	44	98	98	NUM
ejpam-6152	349	45	8.5	8.5	NUM
ejpam-6152	349	46	6.5	6.5	NUM
ejpam-6152	349	47	10.5	10.5	NUM
ejpam-6152	349	48	0.4	0.4	NUM
ejpam-6152	349	49	92	92	NUM
ejpam-6152	349	50	88	88	NUM
ejpam-6152	349	51	96	96	NUM
ejpam-6152	349	52	8	8	NUM
ejpam-6152	349	53	6	6	NUM
ejpam-6152	349	54	10	10	NUM
ejpam-6152	349	55	0.5	0.5	NUM
ejpam-6152	349	56	90	90	NUM
ejpam-6152	349	57	86	86	NUM
ejpam-6152	349	58	94	94	NUM
ejpam-6152	349	59	7.5	7.5	NUM
ejpam-6152	349	60	5.5	5.5	NUM
ejpam-6152	349	61	9.5	9.5	NUM
ejpam-6152	349	62	1	1	NUM
ejpam-6152	349	63	80	80	NUM
ejpam-6152	349	64	76	76	NUM
ejpam-6152	349	65	84	84	NUM
ejpam-6152	349	66	6	6	NUM
ejpam-6152	349	67	4	4	NUM
ejpam-6152	349	68	8	8	NUM
ejpam-6152	349	69	table	table	NOUN
ejpam-6152	349	70	3	3	NUM
ejpam-6152	349	71	:	:	PUNCT
ejpam-6152	349	72	mean	mean	VERB
ejpam-6152	349	73	and	and	CCONJ
ejpam-6152	349	74	95	95	NUM
ejpam-6152	349	75	%	%	NOUN
ejpam-6152	349	76	confidence	confidence	NOUN
ejpam-6152	349	77	intervals	interval	NOUN
ejpam-6152	349	78	for	for	ADP
ejpam-6152	349	79	ǔ	ǔ	PRON
ejpam-6152	349	80	(	(	PUNCT
ejpam-6152	349	81	glucose	glucose	NOUN
ejpam-6152	349	82	concentration	concentration	NOUN
ejpam-6152	349	83	)	)	PUNCT
ejpam-6152	349	84	and	and	CCONJ
ejpam-6152	349	85	v̌	v̌	NOUN
ejpam-6152	349	86	(	(	PUNCT
ejpam-6152	349	87	insulin	insulin	NOUN
ejpam-6152	349	88	concentration	concentration	NOUN
ejpam-6152	349	89	)	)	PUNCT
ejpam-6152	349	90	.	.	PUNCT
ejpam-6152	350	1	ti	ti	X
ejpam-6152	350	2	t3	t3	PROPN
ejpam-6152	350	3	95	95	NUM
ejpam-6152	350	4	%	%	NOUN
ejpam-6152	350	5	confidence	confidence	NOUN
ejpam-6152	350	6	interval	interval	NOUN
ejpam-6152	350	7	lower	lower	ADV
ejpam-6152	350	8	bound	bind	VERB
ejpam-6152	350	9	upper	upper	ADJ
ejpam-6152	350	10	bound	bind	VERB
ejpam-6152	350	11	0	0	NUM
ejpam-6152	350	12	5	5	NUM
ejpam-6152	350	13	4	4	NUM
ejpam-6152	350	14	6	6	NUM
ejpam-6152	350	15	0.1	0.1	NUM
ejpam-6152	350	16	5.2	5.2	NUM
ejpam-6152	350	17	4.2	4.2	NUM
ejpam-6152	350	18	6.2	6.2	NUM
ejpam-6152	350	19	0.2	0.2	NUM
ejpam-6152	350	20	5.4	5.4	NUM
ejpam-6152	350	21	4.4	4.4	NUM
ejpam-6152	350	22	6.4	6.4	NUM
ejpam-6152	350	23	0.3	0.3	NUM
ejpam-6152	350	24	5.6	5.6	NUM
ejpam-6152	350	25	4.6	4.6	NUM
ejpam-6152	350	26	6.6	6.6	NUM
ejpam-6152	350	27	0.4	0.4	NUM
ejpam-6152	350	28	5.8	5.8	NUM
ejpam-6152	350	29	4.8	4.8	NUM
ejpam-6152	350	30	6.8	6.8	NUM
ejpam-6152	350	31	0.5	0.5	NUM
ejpam-6152	350	32	6	6	NUM
ejpam-6152	350	33	5	5	NUM
ejpam-6152	350	34	7	7	NUM
ejpam-6152	350	35	1	1	NUM
ejpam-6152	350	36	7	7	NUM
ejpam-6152	350	37	6	6	NUM
ejpam-6152	350	38	8	8	NUM
ejpam-6152	350	39	table	table	NOUN
ejpam-6152	350	40	4	4	NUM
ejpam-6152	350	41	:	:	PUNCT
ejpam-6152	350	42	mean	mean	VERB
ejpam-6152	350	43	and	and	CCONJ
ejpam-6152	350	44	95	95	NUM
ejpam-6152	350	45	%	%	NOUN
ejpam-6152	350	46	confidence	confidence	NOUN
ejpam-6152	350	47	intervals	interval	NOUN
ejpam-6152	350	48	for	for	ADP
ejpam-6152	350	49	w̌	w̌	X
ejpam-6152	350	50	(	(	PUNCT
ejpam-6152	350	51	regulatory	regulatory	ADJ
ejpam-6152	350	52	factor	factor	NOUN
ejpam-6152	350	53	)	)	PUNCT
ejpam-6152	350	54	.	.	PUNCT
ejpam-6152	351	1	s.	s.	PROPN
ejpam-6152	351	2	saber	saber	PROPN
ejpam-6152	351	3	et	et	PROPN
ejpam-6152	351	4	al	al	PROPN
ejpam-6152	351	5	.	.	PUNCT
ejpam-6152	351	6	/	/	SYM
ejpam-6152	351	7	eur	eur	PROPN
ejpam-6152	351	8	.	.	PUNCT
ejpam-6152	352	1	j.	j.	PROPN
ejpam-6152	352	2	pure	pure	PROPN
ejpam-6152	352	3	appl	appl	PROPN
ejpam-6152	352	4	.	.	PROPN
ejpam-6152	352	5	math	math	PROPN
ejpam-6152	352	6	,	,	PUNCT
ejpam-6152	352	7	18	18	NUM
ejpam-6152	352	8	(	(	PUNCT
ejpam-6152	352	9	2	2	NUM
ejpam-6152	352	10	)	)	PUNCT
ejpam-6152	352	11	(	(	PUNCT
ejpam-6152	352	12	2025	2025	NUM
ejpam-6152	352	13	)	)	PUNCT
ejpam-6152	352	14	,	,	PUNCT
ejpam-6152	352	15	6152	6152	NUM
ejpam-6152	352	16	15	15	NUM
ejpam-6152	352	17	of	of	ADP
ejpam-6152	352	18	24	24	NUM
ejpam-6152	352	19	8	8	NUM
ejpam-6152	352	20	.	.	PUNCT
ejpam-6152	353	1	numerical	numerical	ADJ
ejpam-6152	353	2	methods	method	NOUN
ejpam-6152	353	3	8.1	8.1	NUM
ejpam-6152	353	4	.	.	PUNCT
ejpam-6152	354	1	generalized	generalize	VERB
ejpam-6152	354	2	caputo	caputo	PROPN
ejpam-6152	354	3	-	-	PUNCT
ejpam-6152	354	4	fabrizio	fabrizio	PROPN
ejpam-6152	354	5	operator	operator	NOUN
ejpam-6152	354	6	and	and	CCONJ
ejpam-6152	354	7	discrete	discrete	ADJ
ejpam-6152	354	8	scheme	scheme	NOUN
ejpam-6152	354	9	definition	definition	NOUN
ejpam-6152	354	10	6	6	NUM
ejpam-6152	354	11	.	.	PUNCT
ejpam-6152	355	1	the	the	DET
ejpam-6152	355	2	sobolev	sobolev	PROPN
ejpam-6152	355	3	space	space	PROPN
ejpam-6152	355	4	w	w	PROPN
ejpam-6152	355	5	1	1	NUM
ejpam-6152	355	6	2	2	NUM
ejpam-6152	355	7	(	(	PUNCT
ejpam-6152	355	8	0,m	0,m	NUM
ejpam-6152	355	9	)	)	PUNCT
ejpam-6152	355	10	is	be	AUX
ejpam-6152	355	11	defined	define	VERB
ejpam-6152	355	12	as	as	ADP
ejpam-6152	355	13	the	the	DET
ejpam-6152	355	14	set	set	NOUN
ejpam-6152	355	15	of	of	ADP
ejpam-6152	355	16	functions	function	NOUN
ejpam-6152	355	17	h(t	h(t	PROPN
ejpam-6152	355	18	)	)	PUNCT
ejpam-6152	355	19	on	on	ADP
ejpam-6152	355	20	the	the	DET
ejpam-6152	355	21	interval	interval	NOUN
ejpam-6152	355	22	(	(	PUNCT
ejpam-6152	355	23	0,m	0,m	ADV
ejpam-6152	355	24	)	)	PUNCT
ejpam-6152	355	25	such	such	ADJ
ejpam-6152	355	26	that	that	PRON
ejpam-6152	355	27	:	:	PUNCT
ejpam-6152	355	28	•	•	NUM
ejpam-6152	355	29	h(t	h(t	PROPN
ejpam-6152	355	30	)	)	PUNCT
ejpam-6152	355	31	∈	∈	PROPN
ejpam-6152	355	32	l2(0,m	l2(0,m	ADJ
ejpam-6152	355	33	)	)	PUNCT
ejpam-6152	355	34	,	,	PUNCT
ejpam-6152	355	35	i.e.	i.e.	X
ejpam-6152	355	36	,	,	PUNCT
ejpam-6152	355	37	the	the	DET
ejpam-6152	355	38	function	function	NOUN
ejpam-6152	355	39	is	be	AUX
ejpam-6152	355	40	square	square	ADJ
ejpam-6152	355	41	integrable	integrable	ADJ
ejpam-6152	355	42	on	on	ADP
ejpam-6152	355	43	(	(	PUNCT
ejpam-6152	355	44	0,m	0,m	NUM
ejpam-6152	355	45	)	)	PUNCT
ejpam-6152	355	46	,	,	PUNCT
ejpam-6152	355	47	•	•	NOUN
ejpam-6152	355	48	and	and	CCONJ
ejpam-6152	355	49	its	its	PRON
ejpam-6152	355	50	weak	weak	ADJ
ejpam-6152	355	51	derivative	derivative	ADJ
ejpam-6152	355	52	h′(t	h′(t	NOUN
ejpam-6152	355	53	)	)	PUNCT
ejpam-6152	355	54	∈	∈	PROPN
ejpam-6152	355	55	l2(0,m	l2(0,m	ADJ
ejpam-6152	355	56	)	)	PUNCT
ejpam-6152	355	57	.	.	PUNCT
ejpam-6152	356	1	formally	formally	ADV
ejpam-6152	356	2	,	,	PUNCT
ejpam-6152	356	3	we	we	PRON
ejpam-6152	356	4	write	write	VERB
ejpam-6152	356	5	:	:	PUNCT
ejpam-6152	356	6	w	w	NOUN
ejpam-6152	356	7	1	1	NUM
ejpam-6152	356	8	2	2	NUM
ejpam-6152	356	9	(	(	PUNCT
ejpam-6152	356	10	0,m	0,m	NUM
ejpam-6152	356	11	)	)	PUNCT
ejpam-6152	356	12	=	=	PRON
ejpam-6152	356	13	{	{	PUNCT
ejpam-6152	356	14	h(t	h(t	PROPN
ejpam-6152	356	15	)	)	PUNCT
ejpam-6152	356	16	∈	∈	PROPN
ejpam-6152	356	17	l2(0,m	l2(0,m	ADJ
ejpam-6152	356	18	)	)	PUNCT
ejpam-6152	356	19	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6152	356	20	dh(t	dh(t	NUM
ejpam-6152	356	21	)	)	PUNCT
ejpam-6152	356	22	dt	dt	X
ejpam-6152	357	1	∈	∈	PROPN
ejpam-6152	357	2	l2(0,m	l2(0,m	ADJ
ejpam-6152	357	3	)	)	PUNCT
ejpam-6152	357	4	}	}	PUNCT
ejpam-6152	357	5	.	.	PUNCT
ejpam-6152	358	1	let	let	AUX
ejpam-6152	358	2	{	{	PUNCT
ejpam-6152	358	3	tℓ}nℓ=0	tℓ}nℓ=0	PRON
ejpam-6152	358	4	be	be	AUX
ejpam-6152	358	5	a	a	DET
ejpam-6152	358	6	uniform	uniform	ADJ
ejpam-6152	358	7	partition	partition	NOUN
ejpam-6152	358	8	of	of	ADP
ejpam-6152	358	9	the	the	DET
ejpam-6152	358	10	interval	interval	NOUN
ejpam-6152	358	11	[	[	X
ejpam-6152	358	12	0,m	0,m	X
ejpam-6152	358	13	]	]	X
ejpam-6152	358	14	with	with	ADP
ejpam-6152	358	15	step	step	NOUN
ejpam-6152	358	16	size	size	NOUN
ejpam-6152	358	17	∆t	∆t	PROPN
ejpam-6152	358	18	=	=	SYM
ejpam-6152	358	19	tℓ+1	tℓ+1	NUM
ejpam-6152	358	20	−	−	PROPN
ejpam-6152	358	21	tℓ.	tℓ.	NOUN
ejpam-6152	358	22	let	let	VERB
ejpam-6152	358	23	hℓ	hℓ	VERB
ejpam-6152	358	24	=	=	PUNCT
ejpam-6152	358	25	h(tℓ	h(tℓ	NOUN
ejpam-6152	358	26	)	)	PUNCT
ejpam-6152	358	27	denote	denote	VERB
ejpam-6152	358	28	the	the	DET
ejpam-6152	358	29	numerical	numerical	ADJ
ejpam-6152	358	30	approximation	approximation	NOUN
ejpam-6152	358	31	of	of	ADP
ejpam-6152	358	32	the	the	DET
ejpam-6152	358	33	function	function	NOUN
ejpam-6152	358	34	h(t	h(t	PROPN
ejpam-6152	358	35	)	)	PUNCT
ejpam-6152	358	36	at	at	ADP
ejpam-6152	358	37	the	the	DET
ejpam-6152	358	38	discrete	discrete	ADJ
ejpam-6152	358	39	time	time	NOUN
ejpam-6152	358	40	point	point	NOUN
ejpam-6152	358	41	tℓ.	tℓ.	NOUN
ejpam-6152	358	42	here	here	ADV
ejpam-6152	358	43	,	,	PUNCT
ejpam-6152	358	44	αℓ	αℓ	ADV
ejpam-6152	358	45	∈	∈	PROPN
ejpam-6152	359	1	[	[	X
ejpam-6152	359	2	tℓ	tℓ	NOUN
ejpam-6152	359	3	,	,	PUNCT
ejpam-6152	359	4	tℓ+1	tℓ+1	NUM
ejpam-6152	359	5	]	]	PUNCT
ejpam-6152	359	6	is	be	AUX
ejpam-6152	359	7	a	a	DET
ejpam-6152	359	8	point	point	NOUN
ejpam-6152	359	9	within	within	ADP
ejpam-6152	359	10	the	the	DET
ejpam-6152	359	11	integration	integration	NOUN
ejpam-6152	359	12	interval	interval	NOUN
ejpam-6152	359	13	,	,	PUNCT
ejpam-6152	359	14	as	as	SCONJ
ejpam-6152	359	15	guaranteed	guarantee	VERB
ejpam-6152	359	16	by	by	ADP
ejpam-6152	359	17	the	the	DET
ejpam-6152	359	18	mean	mean	ADJ
ejpam-6152	359	19	value	value	NOUN
ejpam-6152	359	20	theorem	theorem	NOUN
ejpam-6152	359	21	for	for	ADP
ejpam-6152	359	22	integrals	integral	NOUN
ejpam-6152	359	23	,	,	PUNCT
ejpam-6152	359	24	at	at	ADP
ejpam-6152	359	25	which	which	PRON
ejpam-6152	359	26	the	the	DET
ejpam-6152	359	27	second	second	ADJ
ejpam-6152	359	28	derivative	derivative	NOUN
ejpam-6152	359	29	of	of	ADP
ejpam-6152	359	30	g(ξ	g(ξ	PROPN
ejpam-6152	359	31	,	,	PUNCT
ejpam-6152	359	32	h(ξ	h(ξ	PROPN
ejpam-6152	359	33	)	)	PUNCT
ejpam-6152	359	34	)	)	PUNCT
ejpam-6152	359	35	is	be	AUX
ejpam-6152	359	36	evaluated	evaluate	VERB
ejpam-6152	359	37	.	.	PUNCT
ejpam-6152	360	1	the	the	DET
ejpam-6152	360	2	cf	cf	NOUN
ejpam-6152	360	3	operator	operator	NOUN
ejpam-6152	360	4	introduces	introduce	VERB
ejpam-6152	360	5	a	a	DET
ejpam-6152	360	6	contemporary	contemporary	ADJ
ejpam-6152	360	7	modification	modification	NOUN
ejpam-6152	360	8	to	to	ADP
ejpam-6152	360	9	fractional	fractional	ADJ
ejpam-6152	360	10	calculus	calculus	NOUN
ejpam-6152	360	11	by	by	ADP
ejpam-6152	360	12	using	use	VERB
ejpam-6152	360	13	a	a	DET
ejpam-6152	360	14	kernel	kernel	NOUN
ejpam-6152	360	15	free	free	ADJ
ejpam-6152	360	16	from	from	ADP
ejpam-6152	360	17	singularities	singularity	NOUN
ejpam-6152	360	18	.	.	PUNCT
ejpam-6152	361	1	for	for	ADP
ejpam-6152	361	2	a	a	DET
ejpam-6152	361	3	function	function	NOUN
ejpam-6152	361	4	h(t	h(t	PROPN
ejpam-6152	361	5	)	)	PUNCT
ejpam-6152	361	6	∈	∈	PROPN
ejpam-6152	361	7	w	w	NOUN
ejpam-6152	361	8	1	1	NUM
ejpam-6152	361	9	2	2	NUM
ejpam-6152	361	10	(	(	PUNCT
ejpam-6152	361	11	0,m	0,m	NUM
ejpam-6152	361	12	)	)	PUNCT
ejpam-6152	361	13	and	and	CCONJ
ejpam-6152	361	14	a	a	DET
ejpam-6152	361	15	parameter	parameter	NOUN
ejpam-6152	361	16	α̌	α̌	X
ejpam-6152	361	17	∈	∈	PROPN
ejpam-6152	361	18	[	[	X
ejpam-6152	361	19	0	0	NUM
ejpam-6152	361	20	,	,	PUNCT
ejpam-6152	361	21	1	1	NUM
ejpam-6152	361	22	]	]	PUNCT
ejpam-6152	361	23	,	,	PUNCT
ejpam-6152	361	24	it	it	PRON
ejpam-6152	361	25	is	be	AUX
ejpam-6152	361	26	defined	define	VERB
ejpam-6152	361	27	as	as	ADP
ejpam-6152	361	28	:	:	PUNCT
ejpam-6152	361	29	cf	cf	NOUN
ejpam-6152	361	30	0	0	NUM
ejpam-6152	362	1	d	d	X
ejpam-6152	362	2	α̌	α̌	NUM
ejpam-6152	362	3	t	t	NOUN
ejpam-6152	362	4	h(t	h(t	PROPN
ejpam-6152	362	5	)	)	PUNCT
ejpam-6152	362	6	=	=	SYM
ejpam-6152	362	7	n(α̌	n(α̌	NUM
ejpam-6152	362	8	)	)	PUNCT
ejpam-6152	362	9	1−	1−	NUM
ejpam-6152	363	1	α̌	α̌	NUM
ejpam-6152	363	2	∫	∫	PROPN
ejpam-6152	363	3	t	t	PROPN
ejpam-6152	363	4	0	0	NUM
ejpam-6152	364	1	d	d	X
ejpam-6152	364	2	dξ	dξ	PROPN
ejpam-6152	364	3	h(ξ	h(ξ	PROPN
ejpam-6152	364	4	)	)	PUNCT
ejpam-6152	364	5	exp	exp	NOUN
ejpam-6152	364	6	[	[	PUNCT
ejpam-6152	364	7	−	−	PROPN
ejpam-6152	364	8	α̌	α̌	NUM
ejpam-6152	364	9	1−	1−	NUM
ejpam-6152	364	10	α̌	α̌	NUM
ejpam-6152	364	11	(	(	PUNCT
ejpam-6152	364	12	x−	x−	PROPN
ejpam-6152	364	13	ξ	ξ	PROPN
ejpam-6152	364	14	)	)	PUNCT
ejpam-6152	364	15	]	]	PUNCT
ejpam-6152	365	1	dξ	dξ	PROPN
ejpam-6152	365	2	,	,	PUNCT
ejpam-6152	365	3	where	where	SCONJ
ejpam-6152	365	4	n(α̌	n(α̌	VERB
ejpam-6152	365	5	)	)	PUNCT
ejpam-6152	365	6	is	be	AUX
ejpam-6152	365	7	a	a	DET
ejpam-6152	365	8	normalizing	normalizing	ADJ
ejpam-6152	365	9	function	function	NOUN
ejpam-6152	365	10	with	with	ADP
ejpam-6152	365	11	properties	property	NOUN
ejpam-6152	365	12	n(0	n(0	PROPN
ejpam-6152	365	13	)	)	PUNCT
ejpam-6152	365	14	=	=	SYM
ejpam-6152	365	15	1	1	NUM
ejpam-6152	365	16	and	and	CCONJ
ejpam-6152	365	17	n(1	n(1	NUM
ejpam-6152	365	18	)	)	PUNCT
ejpam-6152	365	19	=	=	SYM
ejpam-6152	366	1	1	1	X
ejpam-6152	366	2	.	.	PUNCT
ejpam-6152	367	1	the	the	DET
ejpam-6152	367	2	related	relate	VERB
ejpam-6152	367	3	fractional	fractional	ADJ
ejpam-6152	367	4	integral	integral	ADJ
ejpam-6152	367	5	with	with	ADP
ejpam-6152	367	6	an	an	DET
ejpam-6152	367	7	exponential	exponential	ADJ
ejpam-6152	367	8	kernel	kernel	NOUN
ejpam-6152	367	9	is	be	AUX
ejpam-6152	367	10	expressed	express	VERB
ejpam-6152	367	11	as	as	ADP
ejpam-6152	367	12	:	:	PUNCT
ejpam-6152	367	13	cf	cf	NOUN
ejpam-6152	367	14	0	0	NUM
ejpam-6152	368	1	i	i	PRON
ejpam-6152	368	2	α̌x	α̌x	PROPN
ejpam-6152	368	3	(	(	PUNCT
ejpam-6152	368	4	h(t	h(t	PROPN
ejpam-6152	368	5	)	)	PUNCT
ejpam-6152	368	6	)	)	PUNCT
ejpam-6152	369	1	=	=	SYM
ejpam-6152	370	1	1−	1−	NUM
ejpam-6152	370	2	α̌	α̌	SYM
ejpam-6152	370	3	n(α̌	n(α̌	NOUN
ejpam-6152	370	4	)	)	PUNCT
ejpam-6152	370	5	h(t	h(t	NUM
ejpam-6152	370	6	)	)	PUNCT
ejpam-6152	371	1	+	+	CCONJ
ejpam-6152	371	2	α̌	α̌	NUM
ejpam-6152	371	3	n(α̌	n(α̌	NOUN
ejpam-6152	371	4	)	)	PUNCT
ejpam-6152	371	5	∫	∫	PROPN
ejpam-6152	371	6	t	t	PROPN
ejpam-6152	371	7	0	0	NUM
ejpam-6152	371	8	h(ξ)dξ	h(ξ)dξ	NOUN
ejpam-6152	371	9	.	.	PUNCT
ejpam-6152	372	1	now	now	ADV
ejpam-6152	372	2	,	,	PUNCT
ejpam-6152	372	3	let	let	VERB
ejpam-6152	372	4	us	we	PRON
ejpam-6152	372	5	consider	consider	VERB
ejpam-6152	372	6	the	the	DET
ejpam-6152	372	7	cauchy	cauchy	NOUN
ejpam-6152	372	8	-	-	PUNCT
ejpam-6152	372	9	type	type	NOUN
ejpam-6152	372	10	problem	problem	NOUN
ejpam-6152	372	11	for	for	ADP
ejpam-6152	372	12	this	this	DET
ejpam-6152	372	13	operator	operator	NOUN
ejpam-6152	372	14	:	:	PUNCT
ejpam-6152	372	15	cf	cf	NOUN
ejpam-6152	372	16	0	0	NUM
ejpam-6152	373	1	d	d	X
ejpam-6152	373	2	α̌	α̌	NUM
ejpam-6152	373	3	t	t	NOUN
ejpam-6152	373	4	h(t	h(t	PROPN
ejpam-6152	373	5	)	)	PUNCT
ejpam-6152	373	6	=	=	SYM
ejpam-6152	373	7	g(t	g(t	PROPN
ejpam-6152	373	8	,	,	PUNCT
ejpam-6152	373	9	h(t	h(t	PROPN
ejpam-6152	373	10	)	)	PUNCT
ejpam-6152	373	11	)	)	PUNCT
ejpam-6152	373	12	,	,	PUNCT
ejpam-6152	373	13	which	which	PRON
ejpam-6152	373	14	,	,	PUNCT
ejpam-6152	373	15	when	when	SCONJ
ejpam-6152	373	16	recast	recast	VERB
ejpam-6152	373	17	in	in	ADP
ejpam-6152	373	18	integral	integral	ADJ
ejpam-6152	373	19	form	form	NOUN
ejpam-6152	373	20	,	,	PUNCT
ejpam-6152	373	21	becomes	become	VERB
ejpam-6152	373	22	:	:	PUNCT
ejpam-6152	373	23	h(t)−	h(t)−	PROPN
ejpam-6152	373	24	h(0	h(0	PROPN
ejpam-6152	373	25	)	)	PUNCT
ejpam-6152	373	26	=	=	SYM
ejpam-6152	373	27	1−	1−	NUM
ejpam-6152	373	28	α̌	α̌	SYM
ejpam-6152	373	29	n(α̌	n(α̌	NOUN
ejpam-6152	373	30	)	)	PUNCT
ejpam-6152	373	31	g(t	g(t	PROPN
ejpam-6152	373	32	,	,	PUNCT
ejpam-6152	373	33	h(t	h(t	PROPN
ejpam-6152	373	34	)	)	PUNCT
ejpam-6152	373	35	)	)	PUNCT
ejpam-6152	374	1	+	+	CCONJ
ejpam-6152	374	2	α̌	α̌	NUM
ejpam-6152	374	3	n(α̌	n(α̌	ADJ
ejpam-6152	374	4	)	)	PUNCT
ejpam-6152	374	5	∫	∫	PROPN
ejpam-6152	374	6	t	t	PROPN
ejpam-6152	374	7	0	0	NUM
ejpam-6152	374	8	g(ξ	g(ξ	PROPN
ejpam-6152	374	9	,	,	PUNCT
ejpam-6152	374	10	h(ξ))dξ	h(ξ))dξ	PROPN
ejpam-6152	374	11	.	.	PUNCT
ejpam-6152	375	1	at	at	ADP
ejpam-6152	375	2	discrete	discrete	ADJ
ejpam-6152	375	3	points	point	NOUN
ejpam-6152	375	4	,	,	PUNCT
ejpam-6152	375	5	we	we	PRON
ejpam-6152	375	6	write	write	VERB
ejpam-6152	375	7	:	:	PUNCT
ejpam-6152	375	8	h(tℓ+1)−	h(tℓ+1)−	PUNCT
ejpam-6152	375	9	h(0	h(0	PROPN
ejpam-6152	375	10	)	)	PUNCT
ejpam-6152	375	11	=	=	SYM
ejpam-6152	375	12	1−	1−	NUM
ejpam-6152	375	13	α̌	α̌	SYM
ejpam-6152	375	14	n(α̌	n(α̌	NOUN
ejpam-6152	375	15	)	)	PUNCT
ejpam-6152	375	16	g(tℓ	g(tℓ	PROPN
ejpam-6152	375	17	,	,	PUNCT
ejpam-6152	375	18	h(tℓ	h(tℓ	NOUN
ejpam-6152	375	19	)	)	PUNCT
ejpam-6152	375	20	)	)	PUNCT
ejpam-6152	376	1	+	+	CCONJ
ejpam-6152	376	2	α̌	α̌	NUM
ejpam-6152	376	3	n(α̌	n(α̌	NOUN
ejpam-6152	376	4	)	)	PUNCT
ejpam-6152	376	5	∫	∫	PROPN
ejpam-6152	376	6	tℓ+1	tℓ+1	NUM
ejpam-6152	376	7	0	0	NUM
ejpam-6152	376	8	g(ξ	g(ξ	PROPN
ejpam-6152	376	9	,	,	PUNCT
ejpam-6152	376	10	h(ξ))dξ	h(ξ))dξ	PROPN
ejpam-6152	376	11	,	,	PUNCT
ejpam-6152	376	12	s.	s.	PROPN
ejpam-6152	376	13	saber	saber	PROPN
ejpam-6152	376	14	et	et	PROPN
ejpam-6152	376	15	al	al	PROPN
ejpam-6152	376	16	.	.	PUNCT
ejpam-6152	376	17	/	/	SYM
ejpam-6152	376	18	eur	eur	PROPN
ejpam-6152	376	19	.	.	PUNCT
ejpam-6152	377	1	j.	j.	PROPN
ejpam-6152	377	2	pure	pure	PROPN
ejpam-6152	377	3	appl	appl	PROPN
ejpam-6152	377	4	.	.	PROPN
ejpam-6152	377	5	math	math	PROPN
ejpam-6152	377	6	,	,	PUNCT
ejpam-6152	377	7	18	18	NUM
ejpam-6152	377	8	(	(	PUNCT
ejpam-6152	377	9	2	2	NUM
ejpam-6152	377	10	)	)	PUNCT
ejpam-6152	377	11	(	(	PUNCT
ejpam-6152	377	12	2025	2025	NUM
ejpam-6152	377	13	)	)	PUNCT
ejpam-6152	377	14	,	,	PUNCT
ejpam-6152	377	15	6152	6152	NUM
ejpam-6152	377	16	16	16	NUM
ejpam-6152	377	17	of	of	ADP
ejpam-6152	377	18	24	24	NUM
ejpam-6152	377	19	and	and	CCONJ
ejpam-6152	377	20	similarly	similarly	ADV
ejpam-6152	377	21	for	for	ADP
ejpam-6152	377	22	tℓ	tℓ	PROPN
ejpam-6152	377	23	:	:	PUNCT
ejpam-6152	377	24	h(tℓ)−	h(tℓ)−	VERB
ejpam-6152	377	25	h(0	h(0	PROPN
ejpam-6152	377	26	)	)	PUNCT
ejpam-6152	377	27	=	=	SYM
ejpam-6152	377	28	1−	1−	NUM
ejpam-6152	377	29	α̌	α̌	SYM
ejpam-6152	377	30	n(α̌	n(α̌	NOUN
ejpam-6152	377	31	)	)	PUNCT
ejpam-6152	377	32	g(tℓ−1,h(tℓ−1	g(tℓ−1,h(tℓ−1	NOUN
ejpam-6152	377	33	)	)	PUNCT
ejpam-6152	377	34	)	)	PUNCT
ejpam-6152	378	1	+	+	CCONJ
ejpam-6152	378	2	α̌	α̌	NUM
ejpam-6152	378	3	n(α̌	n(α̌	NOUN
ejpam-6152	378	4	)	)	PUNCT
ejpam-6152	378	5	∫	∫	PROPN
ejpam-6152	378	6	tℓ	tℓ	PROPN
ejpam-6152	378	7	0	0	NUM
ejpam-6152	378	8	g(ξ	g(ξ	PROPN
ejpam-6152	378	9	,	,	PUNCT
ejpam-6152	378	10	h(ξ))dξ	h(ξ))dξ	PROPN
ejpam-6152	378	11	.	.	PUNCT
ejpam-6152	379	1	subtracting	subtract	VERB
ejpam-6152	379	2	the	the	DET
ejpam-6152	379	3	two	two	NUM
ejpam-6152	379	4	,	,	PUNCT
ejpam-6152	379	5	we	we	PRON
ejpam-6152	379	6	get	get	VERB
ejpam-6152	379	7	:	:	PUNCT
ejpam-6152	379	8	h(tℓ+1)−	h(tℓ+1)−	ADJ
ejpam-6152	379	9	h(tℓ	h(tℓ	NOUN
ejpam-6152	379	10	)	)	PUNCT
ejpam-6152	379	11	=	=	SYM
ejpam-6152	379	12	1−	1−	NUM
ejpam-6152	379	13	α̌	α̌	SYM
ejpam-6152	379	14	n(α̌	n(α̌	NOUN
ejpam-6152	379	15	)	)	PUNCT
ejpam-6152	379	16	[	[	PUNCT
ejpam-6152	379	17	g(tℓ,h(tℓ))−	g(tℓ,h(tℓ))−	PROPN
ejpam-6152	379	18	g(tℓ−1	g(tℓ−1	PROPN
ejpam-6152	379	19	,	,	PUNCT
ejpam-6152	379	20	h(tℓ−1	h(tℓ−1	NOUN
ejpam-6152	379	21	)	)	PUNCT
ejpam-6152	379	22	)	)	PUNCT
ejpam-6152	379	23	]	]	PUNCT
ejpam-6152	380	1	+	+	CCONJ
ejpam-6152	380	2	α̌	α̌	NUM
ejpam-6152	380	3	n(α̌	n(α̌	NOUN
ejpam-6152	380	4	)	)	PUNCT
ejpam-6152	380	5	∫	∫	PROPN
ejpam-6152	380	6	tℓ+1	tℓ+1	NUM
ejpam-6152	380	7	tℓ	tℓ	ADP
ejpam-6152	380	8	g(ξ	g(ξ	PROPN
ejpam-6152	380	9	,	,	PUNCT
ejpam-6152	380	10	h(ξ))dξ	h(ξ))dξ	PROPN
ejpam-6152	380	11	.	.	PUNCT
ejpam-6152	381	1	by	by	ADP
ejpam-6152	381	2	applying	apply	VERB
ejpam-6152	381	3	lagrange	lagrange	NOUN
ejpam-6152	381	4	interpolation	interpolation	NOUN
ejpam-6152	381	5	,	,	PUNCT
ejpam-6152	381	6	we	we	PRON
ejpam-6152	381	7	approximate	approximate	VERB
ejpam-6152	381	8	:	:	PUNCT
ejpam-6152	381	9	h(tℓ+1)−	h(tℓ+1)−	ADJ
ejpam-6152	381	10	h(tℓ	h(tℓ	NOUN
ejpam-6152	381	11	)	)	PUNCT
ejpam-6152	381	12	=	=	SYM
ejpam-6152	381	13	1−	1−	NUM
ejpam-6152	381	14	α̌	α̌	SYM
ejpam-6152	381	15	n(α̌	n(α̌	NOUN
ejpam-6152	381	16	)	)	PUNCT
ejpam-6152	381	17	[	[	PUNCT
ejpam-6152	381	18	g(tℓ,h(tℓ))−	g(tℓ,h(tℓ))−	PROPN
ejpam-6152	381	19	g(tℓ−1	g(tℓ−1	PROPN
ejpam-6152	381	20	,	,	PUNCT
ejpam-6152	381	21	h(tℓ−1	h(tℓ−1	NOUN
ejpam-6152	381	22	)	)	PUNCT
ejpam-6152	381	23	)	)	PUNCT
ejpam-6152	381	24	]	]	PUNCT
ejpam-6152	382	1	+	+	CCONJ
ejpam-6152	382	2	α̌	α̌	NUM
ejpam-6152	382	3	n(α̌	n(α̌	NOUN
ejpam-6152	382	4	)	)	PUNCT
ejpam-6152	382	5	∫	∫	PROPN
ejpam-6152	382	6	tℓ+1	tℓ+1	NUM
ejpam-6152	382	7	tℓ	tℓ	PROPN
ejpam-6152	382	8	(	(	PUNCT
ejpam-6152	382	9	g(tℓ	g(tℓ	X
ejpam-6152	382	10	,	,	PUNCT
ejpam-6152	382	11	h(tℓ	h(tℓ	NOUN
ejpam-6152	382	12	)	)	PUNCT
ejpam-6152	382	13	)	)	PUNCT
ejpam-6152	383	1	∆	∆	PROPN
ejpam-6152	383	2	t	t	NOUN
ejpam-6152	383	3	(	(	PUNCT
ejpam-6152	383	4	ξ	ξ	X
ejpam-6152	383	5	−	−	NOUN
ejpam-6152	383	6	tℓ−1)−	tℓ−1)−	ADJ
ejpam-6152	383	7	g(tℓ−1,h(tℓ−1	g(tℓ−1,h(tℓ−1	NOUN
ejpam-6152	383	8	)	)	PUNCT
ejpam-6152	383	9	)	)	PUNCT
ejpam-6152	384	1	∆	∆	PROPN
ejpam-6152	384	2	t	t	NOUN
ejpam-6152	384	3	(	(	PUNCT
ejpam-6152	384	4	ξ	ξ	X
ejpam-6152	384	5	−	−	PROPN
ejpam-6152	384	6	tℓ	tℓ	NOUN
ejpam-6152	384	7	)	)	PUNCT
ejpam-6152	384	8	)	)	PUNCT
ejpam-6152	385	1	dξ	dξ	PROPN
ejpam-6152	385	2	.	.	PUNCT
ejpam-6152	386	1	the	the	DET
ejpam-6152	386	2	resulting	result	VERB
ejpam-6152	386	3	numerical	numerical	ADJ
ejpam-6152	386	4	method	method	NOUN
ejpam-6152	386	5	becomes	become	VERB
ejpam-6152	386	6	:	:	PUNCT
ejpam-6152	386	7	h(tℓ+1	h(tℓ+1	ADJ
ejpam-6152	386	8	)	)	PUNCT
ejpam-6152	386	9	=	=	SYM
ejpam-6152	386	10	h(tℓ	h(tℓ	NOUN
ejpam-6152	386	11	)	)	PUNCT
ejpam-6152	387	1	+	+	CCONJ
ejpam-6152	387	2	1−	1−	NUM
ejpam-6152	387	3	α̌	α̌	SYM
ejpam-6152	387	4	n(α̌	n(α̌	NOUN
ejpam-6152	387	5	)	)	PUNCT
ejpam-6152	387	6	[	[	PUNCT
ejpam-6152	387	7	g(tℓ	g(tℓ	PROPN
ejpam-6152	387	8	,	,	PUNCT
ejpam-6152	387	9	h(tℓ))−	h(tℓ))−	PRON
ejpam-6152	387	10	g(tℓ−1	g(tℓ−1	NOUN
ejpam-6152	387	11	,	,	PUNCT
ejpam-6152	387	12	h(tℓ−1	h(tℓ−1	NOUN
ejpam-6152	387	13	)	)	PUNCT
ejpam-6152	387	14	)	)	PUNCT
ejpam-6152	387	15	]	]	PUNCT
ejpam-6152	388	1	+	+	CCONJ
ejpam-6152	388	2	α̌	α̌	NUM
ejpam-6152	388	3	n(α̌	n(α̌	NOUN
ejpam-6152	388	4	)	)	PUNCT
ejpam-6152	388	5	(	(	PUNCT
ejpam-6152	388	6	g(tℓ,h(tℓ	g(tℓ,h(tℓ	PROPN
ejpam-6152	388	7	)	)	PUNCT
ejpam-6152	388	8	)	)	PUNCT
ejpam-6152	388	9	3	3	NUM
ejpam-6152	388	10	2	2	NUM
ejpam-6152	388	11	∆	∆	X
ejpam-6152	388	12	t−g(tℓ−1	t−g(tℓ−1	NOUN
ejpam-6152	388	13	,	,	PUNCT
ejpam-6152	388	14	hℓ−1	hℓ−1	PROPN
ejpam-6152	388	15	)	)	PUNCT
ejpam-6152	388	16	1	1	NUM
ejpam-6152	388	17	2	2	NUM
ejpam-6152	388	18	∆	∆	PROPN
ejpam-6152	388	19	t	t	NOUN
ejpam-6152	388	20	)	)	PUNCT
ejpam-6152	388	21	.	.	PUNCT
ejpam-6152	389	1	8.2	8.2	NUM
ejpam-6152	389	2	.	.	PUNCT
ejpam-6152	389	3	error	error	NOUN
ejpam-6152	389	4	estimation	estimation	NOUN
ejpam-6152	389	5	to	to	PART
ejpam-6152	389	6	assess	assess	VERB
ejpam-6152	389	7	the	the	DET
ejpam-6152	389	8	efficiency	efficiency	NOUN
ejpam-6152	389	9	of	of	ADP
ejpam-6152	389	10	this	this	DET
ejpam-6152	389	11	numerical	numerical	ADJ
ejpam-6152	389	12	scheme	scheme	NOUN
ejpam-6152	389	13	,	,	PUNCT
ejpam-6152	389	14	consider	consider	VERB
ejpam-6152	389	15	the	the	DET
ejpam-6152	389	16	cauchy	cauchy	ADJ
ejpam-6152	389	17	problem	problem	NOUN
ejpam-6152	389	18	:	:	PUNCT
ejpam-6152	389	19	{	{	PUNCT
ejpam-6152	390	1	cf	cf	NOUN
ejpam-6152	390	2	0	0	NUM
ejpam-6152	391	1	d	d	X
ejpam-6152	391	2	α̌	α̌	NUM
ejpam-6152	391	3	t	t	NOUN
ejpam-6152	391	4	h(t	h(t	PROPN
ejpam-6152	391	5	)	)	PUNCT
ejpam-6152	391	6	=	=	SYM
ejpam-6152	391	7	g(t	g(t	PROPN
ejpam-6152	391	8	,	,	PUNCT
ejpam-6152	391	9	h(t	h(t	PROPN
ejpam-6152	391	10	)	)	PUNCT
ejpam-6152	391	11	)	)	PUNCT
ejpam-6152	391	12	,	,	PUNCT
ejpam-6152	391	13	h(0	h(0	PROPN
ejpam-6152	391	14	)	)	PUNCT
ejpam-6152	391	15	=	=	SYM
ejpam-6152	391	16	h0	h0	NOUN
ejpam-6152	391	17	.	.	PUNCT
ejpam-6152	392	1	assuming	assume	VERB
ejpam-6152	392	2	that	that	SCONJ
ejpam-6152	392	3	g(t	g(t	PROPN
ejpam-6152	392	4	,	,	PUNCT
ejpam-6152	392	5	h(t	h(t	PROPN
ejpam-6152	392	6	)	)	PUNCT
ejpam-6152	392	7	)	)	PUNCT
ejpam-6152	392	8	has	have	VERB
ejpam-6152	392	9	a	a	DET
ejpam-6152	392	10	bounded	bounded	ADJ
ejpam-6152	392	11	second	second	ADJ
ejpam-6152	392	12	derivative	derivative	NOUN
ejpam-6152	392	13	,	,	PUNCT
ejpam-6152	392	14	the	the	DET
ejpam-6152	392	15	error	error	NOUN
ejpam-6152	392	16	term	term	NOUN
ejpam-6152	392	17	f	f	PROPN
ejpam-6152	392	18	α̌	α̌	PROPN
ejpam-6152	392	19	ℓ	ℓ	PROPN
ejpam-6152	392	20	can	can	AUX
ejpam-6152	392	21	be	be	AUX
ejpam-6152	392	22	written	write	VERB
ejpam-6152	392	23	as	as	ADP
ejpam-6152	392	24	:	:	PUNCT
ejpam-6152	392	25	f	f	PROPN
ejpam-6152	392	26	α̌	α̌	X
ejpam-6152	392	27	ℓ	ℓ	X
ejpam-6152	392	28	=	=	SYM
ejpam-6152	392	29	α̌	α̌	SYM
ejpam-6152	392	30	n(α̌	n(α̌	NOUN
ejpam-6152	392	31	)	)	PUNCT
ejpam-6152	392	32	∫	∫	PROPN
ejpam-6152	392	33	tℓ+1	tℓ+1	NUM
ejpam-6152	392	34	tℓ	tℓ	PROPN
ejpam-6152	392	35	(	(	PUNCT
ejpam-6152	392	36	ξ	ξ	PROPN
ejpam-6152	392	37	−	−	PROPN
ejpam-6152	392	38	tℓ)(ξ	tℓ)(ξ	PROPN
ejpam-6152	392	39	−	−	PROPN
ejpam-6152	392	40	tℓ−1	tℓ−1	PROPN
ejpam-6152	392	41	)	)	PUNCT
ejpam-6152	392	42	2	2	NUM
ejpam-6152	392	43	!	!	X
ejpam-6152	392	44	∂2	∂2	PROPN
ejpam-6152	392	45	∂ξ2	∂ξ2	PROPN
ejpam-6152	393	1	[	[	X
ejpam-6152	393	2	g(ξ	g(ξ	PROPN
ejpam-6152	393	3	,	,	PUNCT
ejpam-6152	393	4	h(ξ))]ξ	h(ξ))]ξ	PROPN
ejpam-6152	393	5	=	=	PROPN
ejpam-6152	393	6	α̌ℓ	α̌ℓ	PROPN
ejpam-6152	393	7	dξ	dξ	PROPN
ejpam-6152	393	8	.	.	PUNCT
ejpam-6152	394	1	taking	take	VERB
ejpam-6152	394	2	the	the	DET
ejpam-6152	394	3	supremum	supremum	NOUN
ejpam-6152	394	4	of	of	ADP
ejpam-6152	394	5	the	the	DET
ejpam-6152	394	6	second	second	ADJ
ejpam-6152	394	7	derivative	derivative	NOUN
ejpam-6152	394	8	provides	provide	VERB
ejpam-6152	394	9	the	the	DET
ejpam-6152	394	10	error	error	NOUN
ejpam-6152	394	11	bound:∣∣∣f	bound:∣∣∣f	NOUN
ejpam-6152	394	12	α̌	α̌	X
ejpam-6152	394	13	ℓ	ℓ	NOUN
ejpam-6152	394	14	∣∣∣	∣∣∣	NOUN
ejpam-6152	394	15	≤	≤	NUM
ejpam-6152	394	16	α̌	α̌	NUM
ejpam-6152	394	17	n(α̌	n(α̌	NOUN
ejpam-6152	394	18	)	)	PUNCT
ejpam-6152	394	19	sup	sup	NOUN
ejpam-6152	394	20	ξ∈[0,tℓ+1	ξ∈[0,tℓ+1	NUM
ejpam-6152	394	21	]	]	PUNCT
ejpam-6152	394	22	∣∣∣	∣∣∣	X
ejpam-6152	394	23	∂2	∂2	PROPN
ejpam-6152	394	24	∂ξ2	∂ξ2	PROPN
ejpam-6152	394	25	g(ξ	g(ξ	PROPN
ejpam-6152	394	26	,	,	PUNCT
ejpam-6152	394	27	h(ξ	h(ξ	PROPN
ejpam-6152	394	28	)	)	PUNCT
ejpam-6152	394	29	)	)	PUNCT
ejpam-6152	394	30	∣∣∣	∣∣∣	NOUN
ejpam-6152	394	31	5	5	NUM
ejpam-6152	394	32	12	12	NUM
ejpam-6152	394	33	(	(	PUNCT
ejpam-6152	394	34	∆	∆	PROPN
ejpam-6152	394	35	t)3	t)3	NOUN
ejpam-6152	394	36	.	.	PUNCT
ejpam-6152	395	1	8.3	8.3	NUM
ejpam-6152	395	2	.	.	PUNCT
ejpam-6152	395	3	numerical	numerical	PROPN
ejpam-6152	395	4	illustrations	illustrations	PROPN
ejpam-6152	395	5	systems	system	NOUN
ejpam-6152	395	6	(	(	PUNCT
ejpam-6152	395	7	1	1	NUM
ejpam-6152	395	8	)	)	PUNCT
ejpam-6152	395	9	and	and	CCONJ
ejpam-6152	395	10	(	(	PUNCT
ejpam-6152	395	11	2	2	X
ejpam-6152	395	12	)	)	PUNCT
ejpam-6152	395	13	are	be	AUX
ejpam-6152	395	14	numerically	numerically	ADV
ejpam-6152	395	15	solved	solve	VERB
ejpam-6152	395	16	using	use	VERB
ejpam-6152	395	17	the	the	DET
ejpam-6152	395	18	proposed	propose	VERB
ejpam-6152	395	19	fractional	fractional	ADJ
ejpam-6152	395	20	caputofabrizio	caputofabrizio	PROPN
ejpam-6152	395	21	scheme	scheme	NOUN
ejpam-6152	395	22	,	,	PUNCT
ejpam-6152	395	23	with	with	ADP
ejpam-6152	395	24	initial	initial	ADJ
ejpam-6152	395	25	conditions	condition	NOUN
ejpam-6152	395	26	ǔ(0	ǔ(0	VERB
ejpam-6152	395	27	)	)	PUNCT
ejpam-6152	395	28	=	=	SYM
ejpam-6152	395	29	0	0	NUM
ejpam-6152	395	30	,	,	PUNCT
ejpam-6152	395	31	v̌(0	v̌(0	ADJ
ejpam-6152	395	32	)	)	PUNCT
ejpam-6152	395	33	=	=	SYM
ejpam-6152	395	34	1.5	1.5	NUM
ejpam-6152	395	35	,	,	PUNCT
ejpam-6152	395	36	and	and	CCONJ
ejpam-6152	395	37	w̌(0	w̌(0	VERB
ejpam-6152	395	38	)	)	PUNCT
ejpam-6152	396	1	=	=	SYM
ejpam-6152	396	2	1	1	X
ejpam-6152	396	3	.	.	PUNCT
ejpam-6152	397	1	the	the	DET
ejpam-6152	397	2	parameter	parameter	NOUN
ejpam-6152	397	3	values	value	NOUN
ejpam-6152	397	4	are	be	AUX
ejpam-6152	397	5	adopted	adopt	VERB
ejpam-6152	397	6	from	from	ADP
ejpam-6152	397	7	shabestari	shabestari	PROPN
ejpam-6152	397	8	et	et	PROPN
ejpam-6152	397	9	al	al	PROPN
ejpam-6152	397	10	.	.	PUNCT
ejpam-6152	398	1	[	[	X
ejpam-6152	398	2	66	66	NUM
ejpam-6152	398	3	]	]	PUNCT
ejpam-6152	398	4	.	.	PUNCT
ejpam-6152	399	1	figures	figure	NOUN
ejpam-6152	399	2	1	1	NUM
ejpam-6152	399	3	,	,	PUNCT
ejpam-6152	399	4	3	3	NUM
ejpam-6152	399	5	,	,	PUNCT
ejpam-6152	399	6	and	and	CCONJ
ejpam-6152	399	7	5	5	NUM
ejpam-6152	399	8	(	(	PUNCT
ejpam-6152	399	9	a)–(c	a)–(c	NOUN
ejpam-6152	399	10	)	)	PUNCT
ejpam-6152	399	11	display	display	NOUN
ejpam-6152	399	12	the	the	DET
ejpam-6152	399	13	time	time	NOUN
ejpam-6152	399	14	series	series	NOUN
ejpam-6152	399	15	of	of	ADP
ejpam-6152	399	16	the	the	DET
ejpam-6152	399	17	uncontrolled	uncontrolled	ADJ
ejpam-6152	399	18	cf	cf	NOUN
ejpam-6152	399	19	fractional	fractional	ADJ
ejpam-6152	399	20	system	system	NOUN
ejpam-6152	399	21	(	(	PUNCT
ejpam-6152	399	22	1	1	NUM
ejpam-6152	399	23	)	)	PUNCT
ejpam-6152	399	24	,	,	PUNCT
ejpam-6152	399	25	while	while	SCONJ
ejpam-6152	399	26	figures	figure	NOUN
ejpam-6152	399	27	2	2	NUM
ejpam-6152	399	28	,	,	PUNCT
ejpam-6152	399	29	4	4	NUM
ejpam-6152	399	30	,	,	PUNCT
ejpam-6152	399	31	and	and	CCONJ
ejpam-6152	399	32	6	6	NUM
ejpam-6152	399	33	(	(	PUNCT
ejpam-6152	399	34	a)–(c	a)–(c	NOUN
ejpam-6152	399	35	)	)	PUNCT
ejpam-6152	399	36	show	show	VERB
ejpam-6152	399	37	the	the	DET
ejpam-6152	399	38	corresponding	correspond	VERB
ejpam-6152	399	39	controlled	control	VERB
ejpam-6152	399	40	cf	cf	NOUN
ejpam-6152	399	41	fractional	fractional	ADJ
ejpam-6152	399	42	system	system	NOUN
ejpam-6152	399	43	(	(	PUNCT
ejpam-6152	399	44	2	2	NUM
ejpam-6152	399	45	)	)	PUNCT
ejpam-6152	399	46	,	,	PUNCT
ejpam-6152	399	47	for	for	ADP
ejpam-6152	399	48	the	the	DET
ejpam-6152	399	49	following	follow	VERB
ejpam-6152	399	50	cases	case	NOUN
ejpam-6152	399	51	:	:	PUNCT
ejpam-6152	399	52	ρ	ρ	PROPN
ejpam-6152	399	53	=	=	SYM
ejpam-6152	399	54	0.98	0.98	NUM
ejpam-6152	399	55	,	,	PUNCT
ejpam-6152	399	56	ρ	ρ	PROPN
ejpam-6152	399	57	=	=	SYM
ejpam-6152	400	1	0.97	0.97	NUM
ejpam-6152	400	2	+	+	CCONJ
ejpam-6152	400	3	0.03×	0.03×	NUM
ejpam-6152	400	4	tanh	tanh	PROPN
ejpam-6152	400	5	(	(	PUNCT
ejpam-6152	400	6	t	t	PROPN
ejpam-6152	400	7	10	10	NUM
ejpam-6152	400	8	)	)	PUNCT
ejpam-6152	400	9	,	,	PUNCT
ejpam-6152	400	10	and	and	CCONJ
ejpam-6152	400	11	ρ	ρ	NUM
ejpam-6152	400	12	=	=	SYM
ejpam-6152	400	13	0.97	0.97	NUM
ejpam-6152	400	14	+	+	CCONJ
ejpam-6152	400	15	0.03×	0.03×	NUM
ejpam-6152	400	16	sin	sin	NOUN
ejpam-6152	400	17	(	(	PUNCT
ejpam-6152	400	18	t	t	PROPN
ejpam-6152	400	19	10	10	NUM
ejpam-6152	400	20	)	)	PUNCT
ejpam-6152	400	21	.	.	PUNCT
ejpam-6152	401	1	s.	s.	PROPN
ejpam-6152	401	2	saber	saber	PROPN
ejpam-6152	401	3	et	et	PROPN
ejpam-6152	401	4	al	al	PROPN
ejpam-6152	401	5	.	.	PUNCT
ejpam-6152	401	6	/	/	SYM
ejpam-6152	401	7	eur	eur	PROPN
ejpam-6152	401	8	.	.	PUNCT
ejpam-6152	402	1	j.	j.	PROPN
ejpam-6152	402	2	pure	pure	PROPN
ejpam-6152	402	3	appl	appl	PROPN
ejpam-6152	402	4	.	.	PROPN
ejpam-6152	402	5	math	math	PROPN
ejpam-6152	402	6	,	,	PUNCT
ejpam-6152	402	7	18	18	NUM
ejpam-6152	402	8	(	(	PUNCT
ejpam-6152	402	9	2	2	NUM
ejpam-6152	402	10	)	)	PUNCT
ejpam-6152	402	11	(	(	PUNCT
ejpam-6152	402	12	2025	2025	NUM
ejpam-6152	402	13	)	)	PUNCT
ejpam-6152	402	14	,	,	PUNCT
ejpam-6152	402	15	6152	6152	NUM
ejpam-6152	402	16	17	17	NUM
ejpam-6152	402	17	of	of	ADP
ejpam-6152	402	18	24	24	NUM
ejpam-6152	402	19	0	0	NUM
ejpam-6152	402	20	0.2	0.2	NUM
ejpam-6152	402	21	0.4	0.4	NUM
ejpam-6152	402	22	0.6	0.6	NUM
ejpam-6152	402	23	0.8	0.8	NUM
ejpam-6152	402	24	1	1	NUM
ejpam-6152	402	25	1.2	1.2	NUM
ejpam-6152	402	26	x	x	SYM
ejpam-6152	402	27	0.4	0.4	NUM
ejpam-6152	402	28	0.6	0.6	NUM
ejpam-6152	402	29	0.8	0.8	NUM
ejpam-6152	402	30	1	1	NUM
ejpam-6152	402	31	1.2	1.2	NUM
ejpam-6152	402	32	1.4	1.4	NUM
ejpam-6152	402	33	1.6	1.6	NUM
ejpam-6152	402	34	1.8	1.8	NUM
ejpam-6152	402	35	y	y	PROPN
ejpam-6152	402	36	=	=	SYM
ejpam-6152	402	37	0.98	0.98	NUM
ejpam-6152	402	38	(	(	PUNCT
ejpam-6152	402	39	a	a	X
ejpam-6152	402	40	)	)	PUNCT
ejpam-6152	402	41	0	0	NUM
ejpam-6152	403	1	0.2	0.2	NUM
ejpam-6152	403	2	0.4	0.4	NUM
ejpam-6152	403	3	0.6	0.6	NUM
ejpam-6152	403	4	0.8	0.8	NUM
ejpam-6152	403	5	1	1	NUM
ejpam-6152	403	6	1.2	1.2	NUM
ejpam-6152	403	7	x	x	SYM
ejpam-6152	403	8	0.75	0.75	NUM
ejpam-6152	403	9	0.8	0.8	NUM
ejpam-6152	403	10	0.85	0.85	NUM
ejpam-6152	403	11	0.9	0.9	NUM
ejpam-6152	403	12	0.95	0.95	NUM
ejpam-6152	403	13	1	1	NUM
ejpam-6152	403	14	1.05	1.05	NUM
ejpam-6152	403	15	1.1	1.1	NUM
ejpam-6152	403	16	1.15	1.15	NUM
ejpam-6152	403	17	=	=	SYM
ejpam-6152	403	18	0.98	0.98	NUM
ejpam-6152	403	19	(	(	PUNCT
ejpam-6152	403	20	b	b	NOUN
ejpam-6152	403	21	)	)	PUNCT
ejpam-6152	403	22	0.4	0.4	NUM
ejpam-6152	403	23	0.6	0.6	NUM
ejpam-6152	403	24	0.8	0.8	NUM
ejpam-6152	403	25	1	1	NUM
ejpam-6152	403	26	1.2	1.2	NUM
ejpam-6152	403	27	1.4	1.4	NUM
ejpam-6152	403	28	1.6	1.6	NUM
ejpam-6152	403	29	1.8	1.8	NUM
ejpam-6152	403	30	0.75	0.75	NUM
ejpam-6152	403	31	0.8	0.8	NUM
ejpam-6152	403	32	0.85	0.85	NUM
ejpam-6152	403	33	0.9	0.9	NUM
ejpam-6152	403	34	0.95	0.95	NUM
ejpam-6152	403	35	1	1	NUM
ejpam-6152	403	36	1.05	1.05	NUM
ejpam-6152	403	37	1.1	1.1	NUM
ejpam-6152	403	38	1.15	1.15	NUM
ejpam-6152	403	39	y	y	NOUN
ejpam-6152	403	40	=	=	NOUN
ejpam-6152	403	41	0.98	0.98	NUM
ejpam-6152	403	42	(	(	PUNCT
ejpam-6152	403	43	c	c	NOUN
ejpam-6152	403	44	)	)	PUNCT
ejpam-6152	403	45	0	0	NUM
ejpam-6152	403	46	50	50	NUM
ejpam-6152	403	47	100	100	NUM
ejpam-6152	403	48	150	150	NUM
ejpam-6152	403	49	200	200	NUM
ejpam-6152	403	50	250	250	NUM
ejpam-6152	403	51	300	300	NUM
ejpam-6152	403	52	time	time	NOUN
ejpam-6152	403	53	0	0	NUM
ejpam-6152	403	54	0.2	0.2	NUM
ejpam-6152	403	55	0.4	0.4	NUM
ejpam-6152	403	56	0.6	0.6	NUM
ejpam-6152	403	57	0.8	0.8	NUM
ejpam-6152	403	58	1	1	NUM
ejpam-6152	403	59	1.2	1.2	NUM
ejpam-6152	403	60	1.4	1.4	NUM
ejpam-6152	403	61	1.6	1.6	NUM
ejpam-6152	403	62	1.8	1.8	NUM
ejpam-6152	403	63	x	x	NOUN
ejpam-6152	403	64	,	,	PUNCT
ejpam-6152	403	65	y	y	PROPN
ejpam-6152	403	66	,	,	PUNCT
ejpam-6152	403	67	z	z	PROPN
ejpam-6152	403	68	=	=	SYM
ejpam-6152	403	69	0.98	0.98	NUM
ejpam-6152	403	70	(	(	PUNCT
ejpam-6152	403	71	d	d	NOUN
ejpam-6152	403	72	)	)	PUNCT
ejpam-6152	403	73	figure	figure	NOUN
ejpam-6152	403	74	1	1	NUM
ejpam-6152	403	75	:	:	PUNCT
ejpam-6152	403	76	synchronization	synchronization	NOUN
ejpam-6152	403	77	of	of	ADP
ejpam-6152	403	78	system	system	NOUN
ejpam-6152	403	79	(	(	PUNCT
ejpam-6152	403	80	1	1	NUM
ejpam-6152	403	81	)	)	PUNCT
ejpam-6152	403	82	,	,	PUNCT
ejpam-6152	403	83	illustrated	illustrate	VERB
ejpam-6152	403	84	in	in	ADP
ejpam-6152	403	85	(	(	PUNCT
ejpam-6152	403	86	a)-(d	a)-(d	NOUN
ejpam-6152	403	87	)	)	PUNCT
ejpam-6152	403	88	for	for	ADP
ejpam-6152	403	89	α̌	α̌	NUM
ejpam-6152	403	90	=	=	SYM
ejpam-6152	403	91	0.98	0.98	NUM
ejpam-6152	403	92	.	.	PUNCT
ejpam-6152	404	1	-0.2	-0.2	NOUN
ejpam-6152	404	2	-0.15	-0.15	NUM
ejpam-6152	404	3	-0.1	-0.1	PROPN
ejpam-6152	404	4	-0.05	-0.05	NOUN
ejpam-6152	404	5	0	0	NUM
ejpam-6152	404	6	0.05	0.05	NUM
ejpam-6152	404	7	0.1	0.1	NUM
ejpam-6152	404	8	0.15	0.15	NUM
ejpam-6152	404	9	x	x	SYM
ejpam-6152	404	10	-1	-1	X
ejpam-6152	404	11	-0.5	-0.5	X
ejpam-6152	404	12	0	0	NUM
ejpam-6152	404	13	0.5	0.5	NUM
ejpam-6152	404	14	1	1	NUM
ejpam-6152	404	15	1.5	1.5	NUM
ejpam-6152	404	16	y	y	NOUN
ejpam-6152	404	17	=	=	SYM
ejpam-6152	404	18	0.98	0.98	NUM
ejpam-6152	404	19	(	(	PUNCT
ejpam-6152	404	20	a	a	NOUN
ejpam-6152	404	21	)	)	PUNCT
ejpam-6152	404	22	-0.2	-0.2	PROPN
ejpam-6152	404	23	-0.15	-0.15	NUM
ejpam-6152	404	24	-0.1	-0.1	PROPN
ejpam-6152	404	25	-0.05	-0.05	NOUN
ejpam-6152	404	26	0	0	NUM
ejpam-6152	404	27	0.05	0.05	NUM
ejpam-6152	404	28	0.1	0.1	NUM
ejpam-6152	404	29	0.15	0.15	NUM
ejpam-6152	404	30	x	x	NOUN
ejpam-6152	404	31	-1.5	-1.5	NUM
ejpam-6152	404	32	-1	-1	PROPN
ejpam-6152	405	1	-0.5	-0.5	X
ejpam-6152	405	2	0	0	NUM
ejpam-6152	405	3	0.5	0.5	NUM
ejpam-6152	405	4	1	1	NUM
ejpam-6152	405	5	=	=	SYM
ejpam-6152	405	6	0.98	0.98	NUM
ejpam-6152	405	7	(	(	PUNCT
ejpam-6152	405	8	b	b	NOUN
ejpam-6152	405	9	)	)	PUNCT
ejpam-6152	405	10	-1	-1	PUNCT
ejpam-6152	406	1	-0.5	-0.5	X
ejpam-6152	406	2	0	0	NUM
ejpam-6152	406	3	0.5	0.5	NUM
ejpam-6152	406	4	1	1	NUM
ejpam-6152	406	5	1.5	1.5	NUM
ejpam-6152	406	6	-1.5	-1.5	NUM
ejpam-6152	406	7	-1	-1	PUNCT
ejpam-6152	406	8	-0.5	-0.5	X
ejpam-6152	406	9	0	0	NUM
ejpam-6152	406	10	0.5	0.5	NUM
ejpam-6152	406	11	1	1	NUM
ejpam-6152	406	12	y	y	NOUN
ejpam-6152	406	13	=	=	SYM
ejpam-6152	406	14	0.98	0.98	NUM
ejpam-6152	406	15	(	(	PUNCT
ejpam-6152	406	16	c	c	NOUN
ejpam-6152	406	17	)	)	PUNCT
ejpam-6152	406	18	0	0	NUM
ejpam-6152	406	19	50	50	NUM
ejpam-6152	406	20	100	100	NUM
ejpam-6152	406	21	150	150	NUM
ejpam-6152	406	22	200	200	NUM
ejpam-6152	406	23	250	250	NUM
ejpam-6152	406	24	300	300	NUM
ejpam-6152	406	25	time	time	NOUN
ejpam-6152	406	26	-1.5	-1.5	PUNCT
ejpam-6152	406	27	-1	-1	PROPN
ejpam-6152	406	28	-0.5	-0.5	X
ejpam-6152	406	29	0	0	NUM
ejpam-6152	406	30	0.5	0.5	NUM
ejpam-6152	406	31	1	1	NUM
ejpam-6152	406	32	1.5	1.5	NUM
ejpam-6152	406	33	x	x	NOUN
ejpam-6152	406	34	,	,	PUNCT
ejpam-6152	406	35	y	y	PROPN
ejpam-6152	406	36	,	,	PUNCT
ejpam-6152	406	37	z	z	PROPN
ejpam-6152	406	38	=	=	SYM
ejpam-6152	406	39	0.98	0.98	NUM
ejpam-6152	406	40	(	(	PUNCT
ejpam-6152	406	41	d	d	NOUN
ejpam-6152	406	42	)	)	PUNCT
ejpam-6152	406	43	figure	figure	NOUN
ejpam-6152	406	44	2	2	NUM
ejpam-6152	406	45	:	:	PUNCT
ejpam-6152	406	46	system	system	NOUN
ejpam-6152	406	47	synchronization	synchronization	NOUN
ejpam-6152	406	48	(	(	PUNCT
ejpam-6152	406	49	2	2	NUM
ejpam-6152	406	50	)	)	PUNCT
ejpam-6152	406	51	,	,	PUNCT
ejpam-6152	406	52	illustrated	illustrate	VERB
ejpam-6152	406	53	in	in	ADP
ejpam-6152	406	54	(	(	PUNCT
ejpam-6152	406	55	a)-(d	a)-(d	NOUN
ejpam-6152	406	56	)	)	PUNCT
ejpam-6152	406	57	for	for	ADP
ejpam-6152	406	58	α̌	α̌	NUM
ejpam-6152	406	59	=	=	SYM
ejpam-6152	406	60	0.98	0.98	NUM
ejpam-6152	406	61	.	.	PUNCT
ejpam-6152	407	1	9	9	NUM
ejpam-6152	407	2	.	.	X
ejpam-6152	407	3	discussion	discussion	NOUN
ejpam-6152	407	4	based	base	VERB
ejpam-6152	407	5	on	on	ADP
ejpam-6152	407	6	our	our	PRON
ejpam-6152	407	7	fractional	fractional	ADJ
ejpam-6152	407	8	-	-	PUNCT
ejpam-6152	407	9	order	order	NOUN
ejpam-6152	407	10	glucose	glucose	NOUN
ejpam-6152	407	11	-	-	PUNCT
ejpam-6152	407	12	insulin	insulin	NOUN
ejpam-6152	407	13	model	model	NOUN
ejpam-6152	407	14	,	,	PUNCT
ejpam-6152	407	15	memory	memory	NOUN
ejpam-6152	407	16	effects	effect	NOUN
ejpam-6152	407	17	play	play	VERB
ejpam-6152	407	18	a	a	DET
ejpam-6152	407	19	significant	significant	ADJ
ejpam-6152	407	20	role	role	NOUN
ejpam-6152	407	21	in	in	ADP
ejpam-6152	407	22	diabetes	diabetes	NOUN
ejpam-6152	407	23	management	management	NOUN
ejpam-6152	407	24	.	.	PUNCT
ejpam-6152	408	1	according	accord	VERB
ejpam-6152	408	2	to	to	ADP
ejpam-6152	408	3	sensitivity	sensitivity	NOUN
ejpam-6152	408	4	analysis	analysis	NOUN
ejpam-6152	408	5	,	,	PUNCT
ejpam-6152	408	6	the	the	DET
ejpam-6152	408	7	order	order	NOUN
ejpam-6152	408	8	of	of	ADP
ejpam-6152	408	9	the	the	DET
ejpam-6152	408	10	fractional	fractional	ADJ
ejpam-6152	408	11	derivative	derivative	NOUN
ejpam-6152	408	12	strongly	strongly	ADV
ejpam-6152	408	13	impacts	impact	VERB
ejpam-6152	408	14	the	the	DET
ejpam-6152	408	15	model	model	NOUN
ejpam-6152	408	16	’s	’s	PART
ejpam-6152	408	17	behavior	behavior	NOUN
ejpam-6152	408	18	,	,	PUNCT
ejpam-6152	408	19	emphasizing	emphasize	VERB
ejpam-6152	408	20	the	the	DET
ejpam-6152	408	21	importance	importance	NOUN
ejpam-6152	408	22	of	of	ADP
ejpam-6152	408	23	fractional	fractional	ADJ
ejpam-6152	408	24	calculus	calculus	NOUN
ejpam-6152	408	25	.	.	PUNCT
ejpam-6152	409	1	our	our	PRON
ejpam-6152	409	2	approach	approach	NOUN
ejpam-6152	409	3	aligns	align	VERB
ejpam-6152	409	4	more	more	ADV
ejpam-6152	409	5	effectively	effectively	ADV
ejpam-6152	409	6	with	with	ADP
ejpam-6152	409	7	real	real	ADJ
ejpam-6152	409	8	-	-	PUNCT
ejpam-6152	409	9	world	world	NOUN
ejpam-6152	409	10	patient	patient	NOUN
ejpam-6152	409	11	data	datum	NOUN
ejpam-6152	409	12	than	than	ADP
ejpam-6152	409	13	conventional	conventional	ADJ
ejpam-6152	409	14	integer	integer	NOUN
ejpam-6152	409	15	-	-	PUNCT
ejpam-6152	409	16	order	order	NOUN
ejpam-6152	409	17	models	model	NOUN
ejpam-6152	409	18	.	.	PUNCT
ejpam-6152	410	1	contrary	contrary	ADJ
ejpam-6152	410	2	to	to	ADP
ejpam-6152	410	3	classical	classical	ADJ
ejpam-6152	410	4	models	model	NOUN
ejpam-6152	410	5	,	,	PUNCT
ejpam-6152	410	6	our	our	PRON
ejpam-6152	410	7	model	model	NOUN
ejpam-6152	410	8	captures	capture	VERB
ejpam-6152	410	9	long	long	ADJ
ejpam-6152	410	10	-	-	PUNCT
ejpam-6152	410	11	term	term	NOUN
ejpam-6152	410	12	glucose	glucose	NOUN
ejpam-6152	410	13	and	and	CCONJ
ejpam-6152	410	14	insulin	insulin	NOUN
ejpam-6152	410	15	variations	variation	NOUN
ejpam-6152	410	16	.	.	PUNCT
ejpam-6152	411	1	because	because	SCONJ
ejpam-6152	411	2	of	of	ADP
ejpam-6152	411	3	this	this	DET
ejpam-6152	411	4	capability	capability	NOUN
ejpam-6152	411	5	,	,	PUNCT
ejpam-6152	411	6	individualized	individualized	ADJ
ejpam-6152	411	7	insulin	insulin	NOUN
ejpam-6152	411	8	therapy	therapy	NOUN
ejpam-6152	411	9	strategies	strategy	NOUN
ejpam-6152	411	10	can	can	AUX
ejpam-6152	411	11	be	be	AUX
ejpam-6152	411	12	developed	develop	VERB
ejpam-6152	411	13	.	.	PUNCT
ejpam-6152	412	1	using	use	VERB
ejpam-6152	412	2	the	the	DET
ejpam-6152	412	3	sumudu	sumudu	NOUN
ejpam-6152	412	4	transform	transform	NOUN
ejpam-6152	412	5	,	,	PUNCT
ejpam-6152	412	6	we	we	PRON
ejpam-6152	412	7	enable	enable	VERB
ejpam-6152	412	8	real	real	ADJ
ejpam-6152	412	9	-	-	PUNCT
ejpam-6152	412	10	time	time	NOUN
ejpam-6152	412	11	simulations	simulation	NOUN
ejpam-6152	412	12	for	for	ADP
ejpam-6152	412	13	clinical	clinical	ADJ
ejpam-6152	412	14	applications	application	NOUN
ejpam-6152	412	15	.	.	PUNCT
ejpam-6152	413	1	certain	certain	ADJ
ejpam-6152	413	2	limitations	limitation	NOUN
ejpam-6152	413	3	warrant	warrant	VERB
ejpam-6152	413	4	further	further	ADJ
ejpam-6152	413	5	investigation	investigation	NOUN
ejpam-6152	413	6	.	.	PUNCT
ejpam-6152	414	1	fractional	fractional	ADJ
ejpam-6152	414	2	-	-	PUNCT
ejpam-6152	414	3	order	order	NOUN
ejpam-6152	414	4	models	model	NOUN
ejpam-6152	414	5	improve	improve	VERB
ejpam-6152	414	6	accuracy	accuracy	NOUN
ejpam-6152	414	7	,	,	PUNCT
ejpam-6152	414	8	but	but	CCONJ
ejpam-6152	414	9	parameter	parameter	NOUN
ejpam-6152	414	10	estimation	estimation	NOUN
ejpam-6152	414	11	remains	remain	VERB
ejpam-6152	414	12	challenging	challenge	VERB
ejpam-6152	414	13	.	.	PUNCT
ejpam-6152	415	1	real	real	ADJ
ejpam-6152	415	2	-	-	PUNCT
ejpam-6152	415	3	world	world	NOUN
ejpam-6152	415	4	validation	validation	NOUN
ejpam-6152	415	5	through	through	ADP
ejpam-6152	415	6	clinical	clinical	ADJ
ejpam-6152	415	7	trials	trial	NOUN
ejpam-6152	415	8	is	be	AUX
ejpam-6152	415	9	crucial	crucial	ADJ
ejpam-6152	415	10	to	to	PART
ejpam-6152	415	11	verify	verify	VERB
ejpam-6152	415	12	the	the	DET
ejpam-6152	415	13	model	model	NOUN
ejpam-6152	415	14	’s	’s	PART
ejpam-6152	415	15	applicability	applicability	NOUN
ejpam-6152	415	16	across	across	ADP
ejpam-6152	415	17	diverse	diverse	ADJ
ejpam-6152	415	18	populations	population	NOUN
ejpam-6152	415	19	.	.	PUNCT
ejpam-6152	416	1	the	the	DET
ejpam-6152	416	2	use	use	NOUN
ejpam-6152	416	3	of	of	ADP
ejpam-6152	416	4	machine	machine	NOUN
ejpam-6152	416	5	learning	learn	VERB
ejpam-6152	416	6	techniques	technique	NOUN
ejpam-6152	416	7	in	in	ADP
ejpam-6152	416	8	real	real	ADJ
ejpam-6152	416	9	-	-	PUNCT
ejpam-6152	416	10	time	time	NOUN
ejpam-6152	416	11	applications	application	NOUN
ejpam-6152	416	12	will	will	AUX
ejpam-6152	416	13	enhance	enhance	VERB
ejpam-6152	416	14	parameter	parameter	NOUN
ejpam-6152	416	15	estimation	estimation	NOUN
ejpam-6152	416	16	and	and	CCONJ
ejpam-6152	416	17	improve	improve	VERB
ejpam-6152	416	18	predictive	predictive	ADJ
ejpam-6152	416	19	accuracy	accuracy	NOUN
ejpam-6152	416	20	.	.	PUNCT
ejpam-6152	417	1	an	an	DET
ejpam-6152	417	2	extensive	extensive	ADJ
ejpam-6152	417	3	sensitivity	sensitivity	NOUN
ejpam-6152	417	4	analysis	analysis	NOUN
ejpam-6152	417	5	was	be	AUX
ejpam-6152	417	6	conducted	conduct	VERB
ejpam-6152	417	7	to	to	PART
ejpam-6152	417	8	assess	assess	VERB
ejpam-6152	417	9	the	the	DET
ejpam-6152	417	10	robustness	robustness	NOUN
ejpam-6152	417	11	of	of	ADP
ejpam-6152	417	12	our	our	PRON
ejpam-6152	417	13	fractionalorder	fractionalorder	ADJ
ejpam-6152	417	14	glucose	glucose	NOUN
ejpam-6152	417	15	-	-	PUNCT
ejpam-6152	417	16	insulin	insulin	NOUN
ejpam-6152	417	17	model	model	NOUN
ejpam-6152	417	18	.	.	PUNCT
ejpam-6152	418	1	specifically	specifically	ADV
ejpam-6152	418	2	,	,	PUNCT
ejpam-6152	418	3	we	we	PRON
ejpam-6152	418	4	examined	examine	VERB
ejpam-6152	418	5	the	the	DET
ejpam-6152	418	6	influence	influence	NOUN
ejpam-6152	418	7	of	of	ADP
ejpam-6152	418	8	fractional	fractional	ADJ
ejpam-6152	418	9	-	-	PUNCT
ejpam-6152	418	10	order	order	NOUN
ejpam-6152	418	11	parameters	parameter	NOUN
ejpam-6152	418	12	α̌	α̌	NUM
ejpam-6152	418	13	,	,	PUNCT
ejpam-6152	418	14	insulin	insulin	NOUN
ejpam-6152	418	15	absorption	absorption	NOUN
ejpam-6152	418	16	rates	rate	NOUN
ejpam-6152	418	17	,	,	PUNCT
ejpam-6152	418	18	and	and	CCONJ
ejpam-6152	418	19	glucose	glucose	NOUN
ejpam-6152	418	20	utilization	utilization	NOUN
ejpam-6152	418	21	rates	rate	NOUN
ejpam-6152	418	22	on	on	ADP
ejpam-6152	418	23	system	system	NOUN
ejpam-6152	418	24	stability	stability	NOUN
ejpam-6152	418	25	.	.	PUNCT
ejpam-6152	419	1	fractional	fractional	ADJ
ejpam-6152	419	2	derivatives	derivative	NOUN
ejpam-6152	419	3	are	be	AUX
ejpam-6152	419	4	suitable	suitable	ADJ
ejpam-6152	419	5	for	for	ADP
ejpam-6152	419	6	capturing	capture	VERB
ejpam-6152	419	7	memory	memory	NOUN
ejpam-6152	419	8	-	-	PUNCT
ejpam-6152	419	9	dependent	dependent	ADJ
ejpam-6152	419	10	processes	process	NOUN
ejpam-6152	419	11	since	since	SCONJ
ejpam-6152	419	12	small	small	ADJ
ejpam-6152	419	13	variations	variation	NOUN
ejpam-6152	419	14	in	in	ADP
ejpam-6152	419	15	α̌	α̌	PRON
ejpam-6152	419	16	significantly	significantly	ADV
ejpam-6152	419	17	affect	affect	VERB
ejpam-6152	419	18	glucose	glucose	NOUN
ejpam-6152	419	19	-	-	PUNCT
ejpam-6152	419	20	insulin	insulin	NOUN
ejpam-6152	419	21	interactions	interaction	NOUN
ejpam-6152	419	22	.	.	PUNCT
ejpam-6152	420	1	the	the	DET
ejpam-6152	420	2	most	most	ADV
ejpam-6152	420	3	critical	critical	ADJ
ejpam-6152	420	4	factors	factor	NOUN
ejpam-6152	420	5	in	in	ADP
ejpam-6152	420	6	determining	determine	VERB
ejpam-6152	420	7	steady	steady	ADJ
ejpam-6152	420	8	-	-	PUNCT
ejpam-6152	420	9	state	state	NOUN
ejpam-6152	420	10	glucose	glucose	NOUN
ejpam-6152	420	11	levels	level	NOUN
ejpam-6152	420	12	are	be	AUX
ejpam-6152	420	13	insulin	insulin	NOUN
ejpam-6152	420	14	degradation	degradation	NOUN
ejpam-6152	420	15	and	and	CCONJ
ejpam-6152	420	16	glucose	glucose	NOUN
ejpam-6152	420	17	uptake	uptake	NOUN
ejpam-6152	420	18	,	,	PUNCT
ejpam-6152	420	19	according	accord	VERB
ejpam-6152	420	20	to	to	ADP
ejpam-6152	420	21	sensitivity	sensitivity	NOUN
ejpam-6152	420	22	indices	index	NOUN
ejpam-6152	420	23	.	.	PUNCT
ejpam-6152	421	1	to	to	PART
ejpam-6152	421	2	validate	validate	VERB
ejpam-6152	421	3	our	our	PRON
ejpam-6152	421	4	results	result	NOUN
ejpam-6152	421	5	,	,	PUNCT
ejpam-6152	421	6	we	we	PRON
ejpam-6152	421	7	compared	compare	VERB
ejpam-6152	421	8	them	they	PRON
ejpam-6152	421	9	with	with	ADP
ejpam-6152	421	10	existing	exist	VERB
ejpam-6152	421	11	integer	integer	NOUN
ejpam-6152	421	12	-	-	PUNCT
ejpam-6152	421	13	order	order	NOUN
ejpam-6152	421	14	and	and	CCONJ
ejpam-6152	421	15	fractionalorder	fractionalorder	NOUN
ejpam-6152	421	16	models	model	NOUN
ejpam-6152	421	17	.	.	PUNCT
ejpam-6152	422	1	our	our	PRON
ejpam-6152	422	2	fractional	fractional	ADJ
ejpam-6152	422	3	-	-	PUNCT
ejpam-6152	422	4	order	order	NOUN
ejpam-6152	422	5	approach	approach	NOUN
ejpam-6152	422	6	provides	provide	VERB
ejpam-6152	422	7	superior	superior	ADJ
ejpam-6152	422	8	predictive	predictive	ADJ
ejpam-6152	422	9	accuracy	accuracy	NOUN
ejpam-6152	422	10	and	and	CCONJ
ejpam-6152	422	11	reproduces	reproduce	VERB
ejpam-6152	422	12	observed	observed	ADJ
ejpam-6152	422	13	glucose	glucose	NOUN
ejpam-6152	422	14	fluctuations	fluctuation	NOUN
ejpam-6152	422	15	more	more	ADV
ejpam-6152	422	16	accurately	accurately	ADV
ejpam-6152	422	17	than	than	ADP
ejpam-6152	422	18	classical	classical	ADJ
ejpam-6152	422	19	models	model	NOUN
ejpam-6152	422	20	.	.	PUNCT
ejpam-6152	423	1	addis	addis	PROPN
ejpam-6152	423	2	.	.	PUNCT
ejpam-6152	424	1	saber	saber	PROPN
ejpam-6152	424	2	et	et	PROPN
ejpam-6152	424	3	al	al	PROPN
ejpam-6152	424	4	.	.	PUNCT
ejpam-6152	424	5	/	/	SYM
ejpam-6152	424	6	eur	eur	PROPN
ejpam-6152	424	7	.	.	PUNCT
ejpam-6152	425	1	j.	j.	PROPN
ejpam-6152	425	2	pure	pure	PROPN
ejpam-6152	425	3	appl	appl	PROPN
ejpam-6152	425	4	.	.	PROPN
ejpam-6152	425	5	math	math	PROPN
ejpam-6152	425	6	,	,	PUNCT
ejpam-6152	425	7	18	18	NUM
ejpam-6152	425	8	(	(	PUNCT
ejpam-6152	425	9	2	2	NUM
ejpam-6152	425	10	)	)	PUNCT
ejpam-6152	425	11	(	(	PUNCT
ejpam-6152	425	12	2025	2025	NUM
ejpam-6152	425	13	)	)	PUNCT
ejpam-6152	425	14	,	,	PUNCT
ejpam-6152	425	15	6152	6152	NUM
ejpam-6152	425	16	18	18	NUM
ejpam-6152	425	17	of	of	ADP
ejpam-6152	425	18	24	24	NUM
ejpam-6152	425	19	0	0	NUM
ejpam-6152	425	20	0.2	0.2	NUM
ejpam-6152	425	21	0.4	0.4	NUM
ejpam-6152	425	22	0.6	0.6	NUM
ejpam-6152	425	23	0.8	0.8	NUM
ejpam-6152	425	24	1	1	NUM
ejpam-6152	425	25	1.2	1.2	NUM
ejpam-6152	425	26	x	x	SYM
ejpam-6152	425	27	0.2	0.2	NUM
ejpam-6152	425	28	0.4	0.4	NUM
ejpam-6152	425	29	0.6	0.6	NUM
ejpam-6152	425	30	0.8	0.8	NUM
ejpam-6152	425	31	1	1	NUM
ejpam-6152	425	32	1.2	1.2	NUM
ejpam-6152	425	33	1.4	1.4	NUM
ejpam-6152	425	34	1.6	1.6	NUM
ejpam-6152	425	35	1.8	1.8	NUM
ejpam-6152	425	36	2	2	NUM
ejpam-6152	425	37	y	y	NOUN
ejpam-6152	425	38	=	=	NOUN
ejpam-6152	425	39	0.97	0.97	NUM
ejpam-6152	425	40	+	+	NOUN
ejpam-6152	425	41	0.03	0.03	NUM
ejpam-6152	425	42	tanh(t/10	tanh(t/10	VERB
ejpam-6152	425	43	)	)	PUNCT
ejpam-6152	425	44	(	(	PUNCT
ejpam-6152	425	45	a	a	X
ejpam-6152	425	46	)	)	PUNCT
ejpam-6152	425	47	0	0	NUM
ejpam-6152	426	1	0.2	0.2	NUM
ejpam-6152	426	2	0.4	0.4	NUM
ejpam-6152	426	3	0.6	0.6	NUM
ejpam-6152	426	4	0.8	0.8	NUM
ejpam-6152	426	5	1	1	NUM
ejpam-6152	426	6	1.2	1.2	NUM
ejpam-6152	426	7	x	x	SYM
ejpam-6152	426	8	0.75	0.75	NUM
ejpam-6152	426	9	0.8	0.8	NUM
ejpam-6152	426	10	0.85	0.85	NUM
ejpam-6152	426	11	0.9	0.9	NUM
ejpam-6152	426	12	0.95	0.95	NUM
ejpam-6152	426	13	1	1	NUM
ejpam-6152	426	14	1.05	1.05	NUM
ejpam-6152	426	15	1.1	1.1	NUM
ejpam-6152	426	16	1.15	1.15	NUM
ejpam-6152	426	17	1.2	1.2	NUM
ejpam-6152	426	18	=	=	SYM
ejpam-6152	426	19	0.97	0.97	NUM
ejpam-6152	426	20	+	+	NOUN
ejpam-6152	426	21	0.03	0.03	NUM
ejpam-6152	426	22	tanh(t/10	tanh(t/10	VERB
ejpam-6152	426	23	)	)	PUNCT
ejpam-6152	426	24	(	(	PUNCT
ejpam-6152	426	25	b	b	X
ejpam-6152	426	26	)	)	PUNCT
ejpam-6152	426	27	0.2	0.2	NUM
ejpam-6152	426	28	0.4	0.4	NUM
ejpam-6152	426	29	0.6	0.6	NUM
ejpam-6152	426	30	0.8	0.8	NUM
ejpam-6152	426	31	1	1	NUM
ejpam-6152	426	32	1.2	1.2	NUM
ejpam-6152	426	33	1.4	1.4	NUM
ejpam-6152	426	34	1.6	1.6	NUM
ejpam-6152	426	35	1.8	1.8	NUM
ejpam-6152	426	36	2	2	NUM
ejpam-6152	426	37	0.75	0.75	NUM
ejpam-6152	426	38	0.8	0.8	NUM
ejpam-6152	426	39	0.85	0.85	NUM
ejpam-6152	426	40	0.9	0.9	NUM
ejpam-6152	426	41	0.95	0.95	NUM
ejpam-6152	426	42	1	1	NUM
ejpam-6152	426	43	1.05	1.05	NUM
ejpam-6152	426	44	1.1	1.1	NUM
ejpam-6152	426	45	1.15	1.15	NUM
ejpam-6152	426	46	1.2	1.2	NUM
ejpam-6152	426	47	y	y	NOUN
ejpam-6152	426	48	=	=	NOUN
ejpam-6152	426	49	0.97	0.97	NUM
ejpam-6152	426	50	+	+	NOUN
ejpam-6152	426	51	0.03	0.03	NUM
ejpam-6152	426	52	tanh(t/10	tanh(t/10	VERB
ejpam-6152	426	53	)	)	PUNCT
ejpam-6152	426	54	(	(	PUNCT
ejpam-6152	426	55	c	c	NOUN
ejpam-6152	426	56	)	)	PUNCT
ejpam-6152	426	57	0	0	NUM
ejpam-6152	426	58	50	50	NUM
ejpam-6152	426	59	100	100	NUM
ejpam-6152	426	60	150	150	NUM
ejpam-6152	426	61	200	200	NUM
ejpam-6152	426	62	250	250	NUM
ejpam-6152	426	63	300	300	NUM
ejpam-6152	426	64	time	time	NOUN
ejpam-6152	426	65	0	0	NUM
ejpam-6152	426	66	0.2	0.2	NUM
ejpam-6152	426	67	0.4	0.4	NUM
ejpam-6152	426	68	0.6	0.6	NUM
ejpam-6152	426	69	0.8	0.8	NUM
ejpam-6152	426	70	1	1	NUM
ejpam-6152	426	71	1.2	1.2	NUM
ejpam-6152	426	72	1.4	1.4	NUM
ejpam-6152	426	73	1.6	1.6	NUM
ejpam-6152	426	74	1.8	1.8	NUM
ejpam-6152	426	75	2	2	NUM
ejpam-6152	426	76	x	x	NOUN
ejpam-6152	426	77	,	,	PUNCT
ejpam-6152	426	78	y	y	PROPN
ejpam-6152	426	79	,	,	PUNCT
ejpam-6152	426	80	z	z	NOUN
ejpam-6152	426	81	=	=	NOUN
ejpam-6152	426	82	0.97	0.97	NUM
ejpam-6152	426	83	+	+	NOUN
ejpam-6152	426	84	0.03	0.03	NUM
ejpam-6152	426	85	tanh(t/10	tanh(t/10	VERB
ejpam-6152	426	86	)	)	PUNCT
ejpam-6152	426	87	(	(	PUNCT
ejpam-6152	426	88	d	d	X
ejpam-6152	426	89	)	)	PUNCT
ejpam-6152	426	90	figure	figure	NOUN
ejpam-6152	426	91	3	3	NUM
ejpam-6152	426	92	:	:	PUNCT
ejpam-6152	426	93	synchronization	synchronization	NOUN
ejpam-6152	426	94	of	of	ADP
ejpam-6152	426	95	system	system	NOUN
ejpam-6152	426	96	(	(	PUNCT
ejpam-6152	426	97	1	1	NUM
ejpam-6152	426	98	)	)	PUNCT
ejpam-6152	426	99	,	,	PUNCT
ejpam-6152	426	100	illustrated	illustrate	VERB
ejpam-6152	426	101	in	in	ADP
ejpam-6152	426	102	(	(	PUNCT
ejpam-6152	426	103	a)-(d	a)-(d	NOUN
ejpam-6152	426	104	)	)	PUNCT
ejpam-6152	426	105	for	for	ADP
ejpam-6152	426	106	α̌	α̌	NUM
ejpam-6152	426	107	=	=	SYM
ejpam-6152	426	108	0.97	0.97	NUM
ejpam-6152	426	109	+	+	SYM
ejpam-6152	426	110	0.03×	0.03×	NUM
ejpam-6152	426	111	tanh(t/10	tanh(t/10	VERB
ejpam-6152	426	112	)	)	PUNCT
ejpam-6152	426	113	.	.	PUNCT
ejpam-6152	427	1	-0.2	-0.2	NOUN
ejpam-6152	427	2	-0.15	-0.15	NUM
ejpam-6152	427	3	-0.1	-0.1	PROPN
ejpam-6152	427	4	-0.05	-0.05	NOUN
ejpam-6152	427	5	0	0	NUM
ejpam-6152	427	6	0.05	0.05	NUM
ejpam-6152	427	7	0.1	0.1	NUM
ejpam-6152	427	8	0.15	0.15	NUM
ejpam-6152	427	9	x	x	SYM
ejpam-6152	427	10	-1	-1	X
ejpam-6152	427	11	-0.5	-0.5	X
ejpam-6152	427	12	0	0	NUM
ejpam-6152	427	13	0.5	0.5	NUM
ejpam-6152	427	14	1	1	NUM
ejpam-6152	427	15	1.5	1.5	NUM
ejpam-6152	427	16	y	y	NOUN
ejpam-6152	427	17	=	=	NOUN
ejpam-6152	427	18	0.97	0.97	NUM
ejpam-6152	427	19	+	+	NOUN
ejpam-6152	427	20	0.03	0.03	NUM
ejpam-6152	427	21	tanh(t/10	tanh(t/10	VERB
ejpam-6152	427	22	)	)	PUNCT
ejpam-6152	427	23	(	(	PUNCT
ejpam-6152	427	24	a	a	X
ejpam-6152	427	25	)	)	PUNCT
ejpam-6152	427	26	-0.2	-0.2	PROPN
ejpam-6152	427	27	-0.15	-0.15	NUM
ejpam-6152	427	28	-0.1	-0.1	PROPN
ejpam-6152	427	29	-0.05	-0.05	NOUN
ejpam-6152	427	30	0	0	NUM
ejpam-6152	427	31	0.05	0.05	NUM
ejpam-6152	427	32	0.1	0.1	NUM
ejpam-6152	427	33	0.15	0.15	NUM
ejpam-6152	428	1	x	x	NOUN
ejpam-6152	428	2	-1.5	-1.5	NUM
ejpam-6152	428	3	-1	-1	PROPN
ejpam-6152	429	1	-0.5	-0.5	X
ejpam-6152	429	2	0	0	NUM
ejpam-6152	429	3	0.5	0.5	NUM
ejpam-6152	429	4	1	1	NUM
ejpam-6152	429	5	=	=	SYM
ejpam-6152	429	6	0.97	0.97	NUM
ejpam-6152	429	7	+	+	NOUN
ejpam-6152	429	8	0.03	0.03	NUM
ejpam-6152	429	9	tanh(t/10	tanh(t/10	VERB
ejpam-6152	429	10	)	)	PUNCT
ejpam-6152	429	11	(	(	PUNCT
ejpam-6152	429	12	b	b	NOUN
ejpam-6152	429	13	)	)	PUNCT
ejpam-6152	429	14	-1	-1	PUNCT
ejpam-6152	430	1	-0.5	-0.5	X
ejpam-6152	430	2	0	0	NUM
ejpam-6152	430	3	0.5	0.5	NUM
ejpam-6152	430	4	1	1	NUM
ejpam-6152	430	5	1.5	1.5	NUM
ejpam-6152	430	6	-1.5	-1.5	NUM
ejpam-6152	430	7	-1	-1	PUNCT
ejpam-6152	431	1	-0.5	-0.5	X
ejpam-6152	431	2	0	0	NUM
ejpam-6152	431	3	0.5	0.5	NUM
ejpam-6152	431	4	1	1	NUM
ejpam-6152	431	5	y	y	NOUN
ejpam-6152	431	6	=	=	NOUN
ejpam-6152	431	7	0.97	0.97	NUM
ejpam-6152	431	8	+	+	NOUN
ejpam-6152	431	9	0.03	0.03	NUM
ejpam-6152	431	10	tanh(t/10	tanh(t/10	VERB
ejpam-6152	431	11	)	)	PUNCT
ejpam-6152	431	12	(	(	PUNCT
ejpam-6152	431	13	c	c	NOUN
ejpam-6152	431	14	)	)	PUNCT
ejpam-6152	431	15	0	0	NUM
ejpam-6152	431	16	50	50	NUM
ejpam-6152	431	17	100	100	NUM
ejpam-6152	431	18	150	150	NUM
ejpam-6152	431	19	200	200	NUM
ejpam-6152	431	20	250	250	NUM
ejpam-6152	431	21	300	300	NUM
ejpam-6152	431	22	time	time	NOUN
ejpam-6152	431	23	-1.5	-1.5	PUNCT
ejpam-6152	431	24	-1	-1	PROPN
ejpam-6152	431	25	-0.5	-0.5	X
ejpam-6152	431	26	0	0	NUM
ejpam-6152	431	27	0.5	0.5	NUM
ejpam-6152	431	28	1	1	NUM
ejpam-6152	431	29	1.5	1.5	NUM
ejpam-6152	431	30	x	x	NOUN
ejpam-6152	431	31	,	,	PUNCT
ejpam-6152	431	32	y	y	PROPN
ejpam-6152	431	33	,	,	PUNCT
ejpam-6152	431	34	z	z	NOUN
ejpam-6152	431	35	=	=	NOUN
ejpam-6152	431	36	0.97	0.97	NUM
ejpam-6152	431	37	+	+	NOUN
ejpam-6152	431	38	0.03	0.03	NUM
ejpam-6152	431	39	tanh(t/10	tanh(t/10	VERB
ejpam-6152	431	40	)	)	PUNCT
ejpam-6152	431	41	(	(	PUNCT
ejpam-6152	431	42	d	d	X
ejpam-6152	431	43	)	)	PUNCT
ejpam-6152	431	44	figure	figure	NOUN
ejpam-6152	431	45	4	4	NUM
ejpam-6152	431	46	:	:	PUNCT
ejpam-6152	431	47	system	system	NOUN
ejpam-6152	431	48	synchronization	synchronization	NOUN
ejpam-6152	431	49	(	(	PUNCT
ejpam-6152	431	50	2	2	NUM
ejpam-6152	431	51	)	)	PUNCT
ejpam-6152	431	52	,	,	PUNCT
ejpam-6152	431	53	illustrated	illustrate	VERB
ejpam-6152	431	54	in	in	ADP
ejpam-6152	431	55	(	(	PUNCT
ejpam-6152	431	56	a)-(d	a)-(d	NOUN
ejpam-6152	431	57	)	)	PUNCT
ejpam-6152	431	58	for	for	ADP
ejpam-6152	431	59	α̌	α̌	NUM
ejpam-6152	431	60	=	=	SYM
ejpam-6152	431	61	0.97	0.97	NUM
ejpam-6152	431	62	+	+	SYM
ejpam-6152	431	63	0.03×	0.03×	NUM
ejpam-6152	431	64	tanh(t/10	tanh(t/10	VERB
ejpam-6152	431	65	)	)	PUNCT
ejpam-6152	431	66	.	.	PUNCT
ejpam-6152	432	1	tionally	tionally	ADV
ejpam-6152	432	2	,	,	PUNCT
ejpam-6152	432	3	our	our	PRON
ejpam-6152	432	4	computational	computational	ADJ
ejpam-6152	432	5	methodology	methodology	NOUN
ejpam-6152	432	6	enhances	enhance	VERB
ejpam-6152	432	7	numerical	numerical	ADJ
ejpam-6152	432	8	stability	stability	NOUN
ejpam-6152	432	9	in	in	ADP
ejpam-6152	432	10	integer	integer	NOUN
ejpam-6152	432	11	-	-	PUNCT
ejpam-6152	432	12	order	order	NOUN
ejpam-6152	432	13	formulations	formulation	NOUN
ejpam-6152	432	14	to	to	PART
ejpam-6152	432	15	minimize	minimize	VERB
ejpam-6152	432	16	oscillatory	oscillatory	ADJ
ejpam-6152	432	17	behavior	behavior	NOUN
ejpam-6152	432	18	.	.	PUNCT
ejpam-6152	433	1	the	the	DET
ejpam-6152	433	2	sumudu	sumudu	NOUN
ejpam-6152	433	3	transform	transform	NOUN
ejpam-6152	433	4	also	also	ADV
ejpam-6152	433	5	facilitates	facilitate	VERB
ejpam-6152	433	6	more	more	ADV
ejpam-6152	433	7	efficient	efficient	ADJ
ejpam-6152	433	8	solution	solution	NOUN
ejpam-6152	433	9	derivation	derivation	NOUN
ejpam-6152	433	10	than	than	ADP
ejpam-6152	433	11	standard	standard	ADJ
ejpam-6152	433	12	numerical	numerical	ADJ
ejpam-6152	433	13	solvers	solver	NOUN
ejpam-6152	433	14	.	.	PUNCT
ejpam-6152	434	1	our	our	PRON
ejpam-6152	434	2	study	study	NOUN
ejpam-6152	434	3	has	have	VERB
ejpam-6152	434	4	significant	significant	ADJ
ejpam-6152	434	5	implications	implication	NOUN
ejpam-6152	434	6	for	for	ADP
ejpam-6152	434	7	diabetes	diabetes	NOUN
ejpam-6152	434	8	management	management	NOUN
ejpam-6152	434	9	.	.	PUNCT
ejpam-6152	435	1	due	due	ADP
ejpam-6152	435	2	to	to	ADP
ejpam-6152	435	3	our	our	PRON
ejpam-6152	435	4	model	model	NOUN
ejpam-6152	435	5	’s	’s	PART
ejpam-6152	435	6	improved	improved	ADJ
ejpam-6152	435	7	accuracy	accuracy	NOUN
ejpam-6152	435	8	and	and	CCONJ
ejpam-6152	435	9	stability	stability	NOUN
ejpam-6152	435	10	,	,	PUNCT
ejpam-6152	435	11	it	it	PRON
ejpam-6152	435	12	can	can	AUX
ejpam-6152	435	13	be	be	AUX
ejpam-6152	435	14	integrated	integrate	VERB
ejpam-6152	435	15	into	into	ADP
ejpam-6152	435	16	personalized	personalized	ADJ
ejpam-6152	435	17	treatment	treatment	NOUN
ejpam-6152	435	18	plans	plan	NOUN
ejpam-6152	435	19	,	,	PUNCT
ejpam-6152	435	20	allowing	allow	VERB
ejpam-6152	435	21	precise	precise	ADJ
ejpam-6152	435	22	insulin	insulin	NOUN
ejpam-6152	435	23	dosing	dosing	NOUN
ejpam-6152	435	24	based	base	VERB
ejpam-6152	435	25	on	on	ADP
ejpam-6152	435	26	individual	individual	ADJ
ejpam-6152	435	27	metabolic	metabolic	NOUN
ejpam-6152	435	28	responses	response	NOUN
ejpam-6152	435	29	.	.	PUNCT
ejpam-6152	436	1	a	a	DET
ejpam-6152	436	2	linear	linear	PROPN
ejpam-6152	436	3	control	control	NOUN
ejpam-6152	436	4	strategy	strategy	NOUN
ejpam-6152	436	5	can	can	AUX
ejpam-6152	436	6	also	also	ADV
ejpam-6152	436	7	optimize	optimize	VERB
ejpam-6152	436	8	insulin	insulin	NOUN
ejpam-6152	436	9	pump	pump	NOUN
ejpam-6152	436	10	algorithms	algorithm	NOUN
ejpam-6152	436	11	,	,	PUNCT
ejpam-6152	436	12	reducing	reduce	VERB
ejpam-6152	436	13	the	the	DET
ejpam-6152	436	14	risk	risk	NOUN
ejpam-6152	436	15	of	of	ADP
ejpam-6152	436	16	severe	severe	ADJ
ejpam-6152	436	17	glucose	glucose	NOUN
ejpam-6152	436	18	fluctuations	fluctuation	NOUN
ejpam-6152	436	19	and	and	CCONJ
ejpam-6152	436	20	improving	improve	VERB
ejpam-6152	436	21	patient	patient	ADJ
ejpam-6152	436	22	outcomes	outcome	NOUN
ejpam-6152	436	23	.	.	PUNCT
ejpam-6152	437	1	a	a	DET
ejpam-6152	437	2	model	model	NOUN
ejpam-6152	437	3	that	that	PRON
ejpam-6152	437	4	accounts	account	VERB
ejpam-6152	437	5	for	for	ADP
ejpam-6152	437	6	fractional	fractional	ADJ
ejpam-6152	437	7	-	-	PUNCT
ejpam-6152	437	8	order	order	NOUN
ejpam-6152	437	9	dynamics	dynamic	NOUN
ejpam-6152	437	10	in	in	ADP
ejpam-6152	437	11	glucose	glucose	NOUN
ejpam-6152	437	12	regulation	regulation	NOUN
ejpam-6152	437	13	can	can	AUX
ejpam-6152	437	14	be	be	AUX
ejpam-6152	437	15	used	use	VERB
ejpam-6152	437	16	to	to	PART
ejpam-6152	437	17	predict	predict	VERB
ejpam-6152	437	18	disease	disease	NOUN
ejpam-6152	437	19	progression	progression	NOUN
ejpam-6152	437	20	and	and	CCONJ
ejpam-6152	437	21	refine	refine	VERB
ejpam-6152	437	22	therapeutic	therapeutic	ADJ
ejpam-6152	437	23	interventions	intervention	NOUN
ejpam-6152	437	24	,	,	PUNCT
ejpam-6152	437	25	ultimately	ultimately	ADV
ejpam-6152	437	26	leading	lead	VERB
ejpam-6152	437	27	to	to	ADP
ejpam-6152	437	28	more	more	ADV
ejpam-6152	437	29	effective	effective	ADJ
ejpam-6152	437	30	and	and	CCONJ
ejpam-6152	437	31	adaptive	adaptive	ADJ
ejpam-6152	437	32	diabetes	diabetes	NOUN
ejpam-6152	437	33	management	management	NOUN
ejpam-6152	437	34	.	.	PUNCT
ejpam-6152	438	1	fractional	fractional	ADJ
ejpam-6152	438	2	calculus	calculus	NOUN
ejpam-6152	438	3	advances	advance	NOUN
ejpam-6152	438	4	diabetes	diabetes	NOUN
ejpam-6152	438	5	care	care	VERB
ejpam-6152	438	6	by	by	ADP
ejpam-6152	438	7	providing	provide	VERB
ejpam-6152	438	8	more	more	ADV
ejpam-6152	438	9	realistic	realistic	ADJ
ejpam-6152	438	10	and	and	CCONJ
ejpam-6152	438	11	flexible	flexible	ADJ
ejpam-6152	438	12	models	model	NOUN
ejpam-6152	438	13	.	.	PUNCT
ejpam-6152	439	1	these	these	DET
ejpam-6152	439	2	findings	finding	NOUN
ejpam-6152	439	3	contribute	contribute	VERB
ejpam-6152	439	4	to	to	ADP
ejpam-6152	439	5	improved	improve	VERB
ejpam-6152	439	6	glucose	glucose	NOUN
ejpam-6152	439	7	regulation	regulation	NOUN
ejpam-6152	439	8	strategies	strategy	NOUN
ejpam-6152	439	9	that	that	PRON
ejpam-6152	439	10	improve	improve	VERB
ejpam-6152	439	11	diabetes	diabetes	NOUN
ejpam-6152	439	12	patients	patient	NOUN
ejpam-6152	439	13	’	'	PUNCT
ejpam-6152	439	14	quality	quality	NOUN
ejpam-6152	439	15	of	of	ADP
ejpam-6152	439	16	life	life	NOUN
ejpam-6152	439	17	.	.	PUNCT
ejpam-6152	440	1	in	in	ADP
ejpam-6152	440	2	table	table	NOUN
ejpam-6152	440	3	5	5	NUM
ejpam-6152	440	4	,	,	PUNCT
ejpam-6152	440	5	we	we	PRON
ejpam-6152	440	6	demonstrate	demonstrate	VERB
ejpam-6152	440	7	how	how	SCONJ
ejpam-6152	440	8	this	this	DET
ejpam-6152	440	9	study	study	NOUN
ejpam-6152	440	10	differs	differ	VERB
ejpam-6152	440	11	from	from	ADP
ejpam-6152	440	12	previous	previous	ADJ
ejpam-6152	440	13	research	research	NOUN
ejpam-6152	440	14	.	.	PUNCT
ejpam-6152	441	1	this	this	DET
ejpam-6152	441	2	study	study	NOUN
ejpam-6152	441	3	introduces	introduce	VERB
ejpam-6152	441	4	a	a	DET
ejpam-6152	441	5	novel	novel	ADJ
ejpam-6152	441	6	fractional	fractional	ADJ
ejpam-6152	441	7	-	-	PUNCT
ejpam-6152	441	8	order	order	NOUN
ejpam-6152	441	9	glucose	glucose	NOUN
ejpam-6152	441	10	-	-	PUNCT
ejpam-6152	441	11	insulin	insulin	NOUN
ejpam-6152	441	12	model	model	NOUN
ejpam-6152	441	13	formulated	formulate	VERB
ejpam-6152	441	14	in	in	ADP
ejpam-6152	441	15	the	the	DET
ejpam-6152	441	16	caputofabrizio	caputofabrizio	NOUN
ejpam-6152	441	17	sense	sense	NOUN
ejpam-6152	441	18	,	,	PUNCT
ejpam-6152	441	19	capturing	capture	VERB
ejpam-6152	441	20	the	the	DET
ejpam-6152	441	21	non	non	ADJ
ejpam-6152	441	22	-	-	ADJ
ejpam-6152	441	23	local	local	ADJ
ejpam-6152	441	24	memory	memory	NOUN
ejpam-6152	441	25	effects	effect	NOUN
ejpam-6152	441	26	inherent	inherent	ADJ
ejpam-6152	441	27	in	in	ADP
ejpam-6152	441	28	glucose	glucose	NOUN
ejpam-6152	441	29	metabolism	metabolism	NOUN
ejpam-6152	441	30	.	.	PUNCT
ejpam-6152	442	1	by	by	ADP
ejpam-6152	442	2	leveraging	leverage	VERB
ejpam-6152	442	3	the	the	DET
ejpam-6152	442	4	sumudu	sumudu	NOUN
ejpam-6152	442	5	transform	transform	NOUN
ejpam-6152	442	6	for	for	ADP
ejpam-6152	442	7	analytical	analytical	ADJ
ejpam-6152	442	8	solution	solution	NOUN
ejpam-6152	442	9	construction	construction	NOUN
ejpam-6152	442	10	and	and	CCONJ
ejpam-6152	442	11	employing	employ	VERB
ejpam-6152	442	12	hyers	hyer	NOUN
ejpam-6152	442	13	-	-	PUNCT
ejpam-6152	442	14	ulam	ulam	PROPN
ejpam-6152	442	15	stability	stability	PROPN
ejpam-6152	442	16	analysis	analysis	NOUN
ejpam-6152	442	17	,	,	PUNCT
ejpam-6152	442	18	we	we	PRON
ejpam-6152	442	19	establish	establish	VERB
ejpam-6152	442	20	both	both	DET
ejpam-6152	442	21	robustness	robustness	NOUN
ejpam-6152	442	22	and	and	CCONJ
ejpam-6152	442	23	reliability	reliability	NOUN
ejpam-6152	442	24	of	of	ADP
ejpam-6152	442	25	the	the	DET
ejpam-6152	442	26	model	model	NOUN
ejpam-6152	442	27	under	under	ADP
ejpam-6152	442	28	perturbations	perturbation	NOUN
ejpam-6152	442	29	.	.	PUNCT
ejpam-6152	443	1	moreover	moreover	ADV
ejpam-6152	443	2	,	,	PUNCT
ejpam-6152	443	3	the	the	DET
ejpam-6152	443	4	development	development	NOUN
ejpam-6152	443	5	of	of	ADP
ejpam-6152	443	6	a	a	DET
ejpam-6152	443	7	linear	linear	ADJ
ejpam-6152	443	8	control	control	NOUN
ejpam-6152	443	9	strategy	strategy	NOUN
ejpam-6152	443	10	and	and	CCONJ
ejpam-6152	443	11	the	the	DET
ejpam-6152	443	12	exploration	exploration	NOUN
ejpam-6152	443	13	of	of	ADP
ejpam-6152	443	14	synchronization	synchronization	NOUN
ejpam-6152	443	15	phenomena	phenomenon	NOUN
ejpam-6152	443	16	under	under	ADP
ejpam-6152	443	17	variable	variable	ADJ
ejpam-6152	443	18	-	-	PUNCT
ejpam-6152	443	19	order	order	NOUN
ejpam-6152	443	20	fractional	fractional	ADJ
ejpam-6152	443	21	dynamics	dynamic	NOUN
ejpam-6152	443	22	mark	mark	VERB
ejpam-6152	443	23	significant	significant	ADJ
ejpam-6152	443	24	advancements	advancement	NOUN
ejpam-6152	443	25	in	in	ADP
ejpam-6152	443	26	the	the	DET
ejpam-6152	443	27	mathematical	mathematical	ADJ
ejpam-6152	443	28	modeling	modeling	NOUN
ejpam-6152	443	29	of	of	ADP
ejpam-6152	443	30	diabetes	diabetes	NOUN
ejpam-6152	443	31	.	.	PUNCT
ejpam-6152	444	1	these	these	DET
ejpam-6152	444	2	contributions	contribution	NOUN
ejpam-6152	444	3	provide	provide	VERB
ejpam-6152	444	4	a	a	DET
ejpam-6152	444	5	new	new	ADJ
ejpam-6152	444	6	theoretical	theoretical	ADJ
ejpam-6152	444	7	foundation	foundation	NOUN
ejpam-6152	444	8	for	for	ADP
ejpam-6152	444	9	personalized	personalized	ADJ
ejpam-6152	444	10	insulin	insulin	NOUN
ejpam-6152	444	11	therapy	therapy	NOUN
ejpam-6152	444	12	and	and	CCONJ
ejpam-6152	444	13	real	real	ADJ
ejpam-6152	444	14	-	-	PUNCT
ejpam-6152	444	15	time	time	NOUN
ejpam-6152	444	16	blood	blood	NOUN
ejpam-6152	444	17	glucose	glucose	NOUN
ejpam-6152	444	18	regulation	regulation	NOUN
ejpam-6152	444	19	.	.	PUNCT
ejpam-6152	445	1	s.	s.	PROPN
ejpam-6152	445	2	saber	saber	PROPN
ejpam-6152	445	3	et	et	PROPN
ejpam-6152	445	4	al	al	PROPN
ejpam-6152	445	5	.	.	PUNCT
ejpam-6152	445	6	/	/	SYM
ejpam-6152	445	7	eur	eur	PROPN
ejpam-6152	445	8	.	.	PUNCT
ejpam-6152	446	1	j.	j.	PROPN
ejpam-6152	446	2	pure	pure	PROPN
ejpam-6152	446	3	appl	appl	PROPN
ejpam-6152	446	4	.	.	PROPN
ejpam-6152	446	5	math	math	PROPN
ejpam-6152	446	6	,	,	PUNCT
ejpam-6152	446	7	18	18	NUM
ejpam-6152	446	8	(	(	PUNCT
ejpam-6152	446	9	2	2	NUM
ejpam-6152	446	10	)	)	PUNCT
ejpam-6152	446	11	(	(	PUNCT
ejpam-6152	446	12	2025	2025	NUM
ejpam-6152	446	13	)	)	PUNCT
ejpam-6152	446	14	,	,	PUNCT
ejpam-6152	446	15	6152	6152	NUM
ejpam-6152	446	16	19	19	NUM
ejpam-6152	446	17	of	of	ADP
ejpam-6152	446	18	24	24	NUM
ejpam-6152	446	19	0	0	NUM
ejpam-6152	446	20	0.2	0.2	NUM
ejpam-6152	446	21	0.4	0.4	NUM
ejpam-6152	446	22	0.6	0.6	NUM
ejpam-6152	446	23	0.8	0.8	NUM
ejpam-6152	446	24	1	1	NUM
ejpam-6152	446	25	1.2	1.2	NUM
ejpam-6152	446	26	x	x	SYM
ejpam-6152	446	27	0.2	0.2	NUM
ejpam-6152	446	28	0.4	0.4	NUM
ejpam-6152	446	29	0.6	0.6	NUM
ejpam-6152	446	30	0.8	0.8	NUM
ejpam-6152	446	31	1	1	NUM
ejpam-6152	446	32	1.2	1.2	NUM
ejpam-6152	446	33	1.4	1.4	NUM
ejpam-6152	446	34	1.6	1.6	NUM
ejpam-6152	446	35	1.8	1.8	NUM
ejpam-6152	446	36	2	2	NUM
ejpam-6152	446	37	y	y	NOUN
ejpam-6152	446	38	=	=	NOUN
ejpam-6152	446	39	0.97	0.97	NUM
ejpam-6152	446	40	+	+	ADJ
ejpam-6152	446	41	0.03	0.03	NUM
ejpam-6152	446	42	sin(t/10	sin(t/10	PROPN
ejpam-6152	446	43	)	)	PUNCT
ejpam-6152	446	44	(	(	PUNCT
ejpam-6152	446	45	a	a	X
ejpam-6152	446	46	)	)	PUNCT
ejpam-6152	446	47	0	0	NUM
ejpam-6152	446	48	0.2	0.2	NUM
ejpam-6152	446	49	0.4	0.4	NUM
ejpam-6152	446	50	0.6	0.6	NUM
ejpam-6152	446	51	0.8	0.8	NUM
ejpam-6152	446	52	1	1	NUM
ejpam-6152	446	53	1.2	1.2	NUM
ejpam-6152	446	54	x	x	SYM
ejpam-6152	446	55	0.75	0.75	NUM
ejpam-6152	446	56	0.8	0.8	NUM
ejpam-6152	446	57	0.85	0.85	NUM
ejpam-6152	446	58	0.9	0.9	NUM
ejpam-6152	446	59	0.95	0.95	NUM
ejpam-6152	446	60	1	1	NUM
ejpam-6152	446	61	1.05	1.05	NUM
ejpam-6152	446	62	1.1	1.1	NUM
ejpam-6152	446	63	1.15	1.15	NUM
ejpam-6152	446	64	1.2	1.2	NUM
ejpam-6152	446	65	=	=	SYM
ejpam-6152	446	66	0.97	0.97	NUM
ejpam-6152	446	67	+	+	PROPN
ejpam-6152	446	68	0.03	0.03	NUM
ejpam-6152	446	69	sin(t/10	sin(t/10	PROPN
ejpam-6152	446	70	)	)	PUNCT
ejpam-6152	446	71	(	(	PUNCT
ejpam-6152	446	72	b	b	X
ejpam-6152	446	73	)	)	PUNCT
ejpam-6152	446	74	0.2	0.2	NUM
ejpam-6152	446	75	0.4	0.4	NUM
ejpam-6152	446	76	0.6	0.6	NUM
ejpam-6152	447	1	0.8	0.8	NUM
ejpam-6152	447	2	1	1	NUM
ejpam-6152	447	3	1.2	1.2	NUM
ejpam-6152	447	4	1.4	1.4	NUM
ejpam-6152	447	5	1.6	1.6	NUM
ejpam-6152	447	6	1.8	1.8	NUM
ejpam-6152	447	7	2	2	NUM
ejpam-6152	447	8	0.75	0.75	NUM
ejpam-6152	447	9	0.8	0.8	NUM
ejpam-6152	447	10	0.85	0.85	NUM
ejpam-6152	447	11	0.9	0.9	NUM
ejpam-6152	447	12	0.95	0.95	NUM
ejpam-6152	447	13	1	1	NUM
ejpam-6152	447	14	1.05	1.05	NUM
ejpam-6152	447	15	1.1	1.1	NUM
ejpam-6152	447	16	1.15	1.15	NUM
ejpam-6152	447	17	1.2	1.2	NUM
ejpam-6152	447	18	y	y	NOUN
ejpam-6152	447	19	=	=	NOUN
ejpam-6152	447	20	0.97	0.97	NUM
ejpam-6152	447	21	+	+	ADJ
ejpam-6152	447	22	0.03	0.03	NUM
ejpam-6152	447	23	sin(t/10	sin(t/10	PROPN
ejpam-6152	447	24	)	)	PUNCT
ejpam-6152	447	25	(	(	PUNCT
ejpam-6152	447	26	c	c	NOUN
ejpam-6152	447	27	)	)	PUNCT
ejpam-6152	447	28	0	0	NUM
ejpam-6152	447	29	50	50	NUM
ejpam-6152	447	30	100	100	NUM
ejpam-6152	447	31	150	150	NUM
ejpam-6152	447	32	200	200	NUM
ejpam-6152	447	33	250	250	NUM
ejpam-6152	447	34	300	300	NUM
ejpam-6152	447	35	time	time	NOUN
ejpam-6152	447	36	0	0	NUM
ejpam-6152	447	37	0.2	0.2	NUM
ejpam-6152	447	38	0.4	0.4	NUM
ejpam-6152	447	39	0.6	0.6	NUM
ejpam-6152	447	40	0.8	0.8	NUM
ejpam-6152	447	41	1	1	NUM
ejpam-6152	447	42	1.2	1.2	NUM
ejpam-6152	447	43	1.4	1.4	NUM
ejpam-6152	447	44	1.6	1.6	NUM
ejpam-6152	447	45	1.8	1.8	NUM
ejpam-6152	447	46	2	2	NUM
ejpam-6152	447	47	x	x	NOUN
ejpam-6152	447	48	,	,	PUNCT
ejpam-6152	447	49	y	y	PROPN
ejpam-6152	447	50	,	,	PUNCT
ejpam-6152	447	51	z	z	NOUN
ejpam-6152	447	52	=	=	NOUN
ejpam-6152	447	53	0.97	0.97	NUM
ejpam-6152	447	54	+	+	ADJ
ejpam-6152	447	55	0.03	0.03	NUM
ejpam-6152	447	56	sin(t/10	sin(t/10	PROPN
ejpam-6152	447	57	)	)	PUNCT
ejpam-6152	447	58	(	(	PUNCT
ejpam-6152	447	59	d	d	X
ejpam-6152	447	60	)	)	PUNCT
ejpam-6152	447	61	figure	figure	NOUN
ejpam-6152	447	62	5	5	NUM
ejpam-6152	447	63	:	:	PUNCT
ejpam-6152	447	64	synchronization	synchronization	NOUN
ejpam-6152	447	65	of	of	ADP
ejpam-6152	447	66	system	system	NOUN
ejpam-6152	447	67	(	(	PUNCT
ejpam-6152	447	68	1	1	NUM
ejpam-6152	447	69	)	)	PUNCT
ejpam-6152	447	70	,	,	PUNCT
ejpam-6152	447	71	illustrated	illustrate	VERB
ejpam-6152	447	72	in	in	ADP
ejpam-6152	447	73	(	(	PUNCT
ejpam-6152	447	74	a)-(d	a)-(d	NOUN
ejpam-6152	447	75	)	)	PUNCT
ejpam-6152	447	76	for	for	ADP
ejpam-6152	447	77	α̌	α̌	NUM
ejpam-6152	447	78	=	=	SYM
ejpam-6152	447	79	0.97	0.97	NUM
ejpam-6152	447	80	+	+	SYM
ejpam-6152	447	81	0.03×	0.03×	NUM
ejpam-6152	447	82	sin(t/10	sin(t/10	PROPN
ejpam-6152	447	83	)	)	PUNCT
ejpam-6152	447	84	.	.	PUNCT
ejpam-6152	448	1	-0.2	-0.2	NOUN
ejpam-6152	448	2	-0.15	-0.15	NUM
ejpam-6152	448	3	-0.1	-0.1	PROPN
ejpam-6152	448	4	-0.05	-0.05	NOUN
ejpam-6152	448	5	0	0	NUM
ejpam-6152	448	6	0.05	0.05	NUM
ejpam-6152	448	7	0.1	0.1	NUM
ejpam-6152	448	8	0.15	0.15	NUM
ejpam-6152	448	9	x	x	SYM
ejpam-6152	448	10	-1	-1	X
ejpam-6152	448	11	-0.5	-0.5	X
ejpam-6152	448	12	0	0	NUM
ejpam-6152	448	13	0.5	0.5	NUM
ejpam-6152	448	14	1	1	NUM
ejpam-6152	448	15	1.5	1.5	NUM
ejpam-6152	448	16	y	y	NOUN
ejpam-6152	448	17	=	=	NOUN
ejpam-6152	448	18	0.97	0.97	NUM
ejpam-6152	448	19	+	+	ADJ
ejpam-6152	448	20	0.03	0.03	NUM
ejpam-6152	448	21	sin(t/10	sin(t/10	PROPN
ejpam-6152	448	22	)	)	PUNCT
ejpam-6152	448	23	(	(	PUNCT
ejpam-6152	448	24	a	a	X
ejpam-6152	448	25	)	)	PUNCT
ejpam-6152	448	26	-0.2	-0.2	PROPN
ejpam-6152	448	27	-0.15	-0.15	NUM
ejpam-6152	448	28	-0.1	-0.1	PROPN
ejpam-6152	448	29	-0.05	-0.05	NOUN
ejpam-6152	448	30	0	0	NUM
ejpam-6152	448	31	0.05	0.05	NUM
ejpam-6152	448	32	0.1	0.1	NUM
ejpam-6152	448	33	0.15	0.15	NUM
ejpam-6152	449	1	x	x	NOUN
ejpam-6152	449	2	-1.5	-1.5	NUM
ejpam-6152	449	3	-1	-1	PROPN
ejpam-6152	449	4	-0.5	-0.5	X
ejpam-6152	449	5	0	0	NUM
ejpam-6152	449	6	0.5	0.5	NUM
ejpam-6152	449	7	1	1	NUM
ejpam-6152	449	8	=	=	SYM
ejpam-6152	449	9	0.97	0.97	NUM
ejpam-6152	449	10	+	+	NOUN
ejpam-6152	449	11	0.03	0.03	NUM
ejpam-6152	449	12	sin(t/10	sin(t/10	PROPN
ejpam-6152	449	13	)	)	PUNCT
ejpam-6152	449	14	(	(	PUNCT
ejpam-6152	449	15	b	b	NOUN
ejpam-6152	449	16	)	)	PUNCT
ejpam-6152	449	17	-1	-1	PUNCT
ejpam-6152	450	1	-0.5	-0.5	X
ejpam-6152	450	2	0	0	NUM
ejpam-6152	450	3	0.5	0.5	NUM
ejpam-6152	450	4	1	1	NUM
ejpam-6152	450	5	1.5	1.5	NUM
ejpam-6152	450	6	-1.5	-1.5	NUM
ejpam-6152	450	7	-1	-1	PUNCT
ejpam-6152	451	1	-0.5	-0.5	X
ejpam-6152	451	2	0	0	NUM
ejpam-6152	451	3	0.5	0.5	NUM
ejpam-6152	451	4	1	1	NUM
ejpam-6152	451	5	y	y	NOUN
ejpam-6152	451	6	=	=	NOUN
ejpam-6152	451	7	0.97	0.97	NUM
ejpam-6152	451	8	+	+	ADJ
ejpam-6152	451	9	0.03	0.03	NUM
ejpam-6152	451	10	sin(t/10	sin(t/10	PROPN
ejpam-6152	451	11	)	)	PUNCT
ejpam-6152	451	12	(	(	PUNCT
ejpam-6152	451	13	c	c	NOUN
ejpam-6152	451	14	)	)	PUNCT
ejpam-6152	451	15	0	0	NUM
ejpam-6152	451	16	50	50	NUM
ejpam-6152	451	17	100	100	NUM
ejpam-6152	451	18	150	150	NUM
ejpam-6152	451	19	200	200	NUM
ejpam-6152	451	20	250	250	NUM
ejpam-6152	451	21	300	300	NUM
ejpam-6152	451	22	time	time	NOUN
ejpam-6152	451	23	-1.5	-1.5	PUNCT
ejpam-6152	451	24	-1	-1	PROPN
ejpam-6152	451	25	-0.5	-0.5	X
ejpam-6152	451	26	0	0	NUM
ejpam-6152	451	27	0.5	0.5	NUM
ejpam-6152	451	28	1	1	NUM
ejpam-6152	451	29	1.5	1.5	NUM
ejpam-6152	451	30	x	x	NOUN
ejpam-6152	451	31	,	,	PUNCT
ejpam-6152	451	32	y	y	PROPN
ejpam-6152	451	33	,	,	PUNCT
ejpam-6152	451	34	z	z	NOUN
ejpam-6152	451	35	=	=	NOUN
ejpam-6152	451	36	0.97	0.97	NUM
ejpam-6152	451	37	+	+	ADJ
ejpam-6152	451	38	0.03	0.03	NUM
ejpam-6152	451	39	sin(t/10	sin(t/10	PROPN
ejpam-6152	451	40	)	)	PUNCT
ejpam-6152	451	41	(	(	PUNCT
ejpam-6152	451	42	d	d	X
ejpam-6152	451	43	)	)	PUNCT
ejpam-6152	451	44	figure	figure	NOUN
ejpam-6152	451	45	6	6	NUM
ejpam-6152	451	46	:	:	PUNCT
ejpam-6152	451	47	system	system	NOUN
ejpam-6152	451	48	synchronization	synchronization	NOUN
ejpam-6152	451	49	(	(	PUNCT
ejpam-6152	451	50	2	2	NUM
ejpam-6152	451	51	)	)	PUNCT
ejpam-6152	451	52	,	,	PUNCT
ejpam-6152	451	53	illustrated	illustrate	VERB
ejpam-6152	451	54	in	in	ADP
ejpam-6152	451	55	(	(	PUNCT
ejpam-6152	451	56	a)-(d	a)-(d	NOUN
ejpam-6152	451	57	)	)	PUNCT
ejpam-6152	451	58	for	for	ADP
ejpam-6152	451	59	α̌	α̌	NUM
ejpam-6152	451	60	=	=	SYM
ejpam-6152	451	61	0.97	0.97	NUM
ejpam-6152	451	62	+	+	SYM
ejpam-6152	451	63	0.03×	0.03×	NUM
ejpam-6152	451	64	sin(t/10	sin(t/10	PROPN
ejpam-6152	451	65	)	)	PUNCT
ejpam-6152	451	66	.	.	PUNCT
ejpam-6152	452	1	aspect	aspect	VERB
ejpam-6152	452	2	previous	previous	ADJ
ejpam-6152	452	3	studies	study	NOUN
ejpam-6152	452	4	our	our	PRON
ejpam-6152	452	5	study	study	NOUN
ejpam-6152	452	6	mathematical	mathematical	ADJ
ejpam-6152	452	7	framework	framework	NOUN
ejpam-6152	452	8	integer	integer	NOUN
ejpam-6152	452	9	-	-	PUNCT
ejpam-6152	452	10	order	order	NOUN
ejpam-6152	452	11	odes	ode	VERB
ejpam-6152	452	12	fractional	fractional	ADJ
ejpam-6152	452	13	caputo	caputo	PROPN
ejpam-6152	452	14	-	-	PUNCT
ejpam-6152	452	15	fabrizio	fabrizio	PROPN
ejpam-6152	452	16	derivatives	derivative	NOUN
ejpam-6152	452	17	solution	solution	NOUN
ejpam-6152	452	18	approach	approach	NOUN
ejpam-6152	452	19	standard	standard	ADJ
ejpam-6152	452	20	solvers	solver	NOUN
ejpam-6152	452	21	sumudu	sumudu	VERB
ejpam-6152	452	22	transform	transform	NOUN
ejpam-6152	452	23	-	-	PUNCT
ejpam-6152	452	24	based	base	VERB
ejpam-6152	452	25	infinite	infinite	ADJ
ejpam-6152	452	26	series	series	NOUN
ejpam-6152	452	27	solutions	solution	NOUN
ejpam-6152	452	28	stability	stability	NOUN
ejpam-6152	452	29	analysis	analysis	NOUN
ejpam-6152	452	30	not	not	PART
ejpam-6152	452	31	considered	consider	VERB
ejpam-6152	452	32	or	or	CCONJ
ejpam-6152	452	33	minimal	minimal	ADJ
ejpam-6152	452	34	hyers	hyer	NOUN
ejpam-6152	452	35	-	-	PUNCT
ejpam-6152	452	36	ulam	ulam	PROPN
ejpam-6152	452	37	stability	stability	NOUN
ejpam-6152	452	38	rigorously	rigorously	ADV
ejpam-6152	452	39	examined	examine	VERB
ejpam-6152	452	40	control	control	NOUN
ejpam-6152	452	41	mechanism	mechanism	NOUN
ejpam-6152	452	42	limited	limit	VERB
ejpam-6152	452	43	or	or	CCONJ
ejpam-6152	452	44	absent	absent	ADJ
ejpam-6152	452	45	linear	linear	NOUN
ejpam-6152	452	46	control	control	NOUN
ejpam-6152	452	47	strategy	strategy	NOUN
ejpam-6152	452	48	introduced	introduce	VERB
ejpam-6152	452	49	clinical	clinical	ADJ
ejpam-6152	452	50	relevance	relevance	NOUN
ejpam-6152	452	51	generic	generic	ADJ
ejpam-6152	452	52	models	model	NOUN
ejpam-6152	452	53	with	with	ADP
ejpam-6152	452	54	limited	limited	ADJ
ejpam-6152	452	55	adaptability	adaptability	NOUN
ejpam-6152	452	56	personalized	personalize	VERB
ejpam-6152	452	57	treatment	treatment	NOUN
ejpam-6152	452	58	insights	insight	NOUN
ejpam-6152	452	59	for	for	ADP
ejpam-6152	452	60	diabetes	diabetes	NOUN
ejpam-6152	452	61	management	management	NOUN
ejpam-6152	452	62	table	table	NOUN
ejpam-6152	452	63	5	5	NUM
ejpam-6152	452	64	:	:	PUNCT
ejpam-6152	452	65	comparison	comparison	NOUN
ejpam-6152	452	66	of	of	ADP
ejpam-6152	452	67	our	our	PRON
ejpam-6152	452	68	study	study	NOUN
ejpam-6152	452	69	with	with	ADP
ejpam-6152	452	70	previous	previous	ADJ
ejpam-6152	452	71	research	research	NOUN
ejpam-6152	452	72	10	10	NUM
ejpam-6152	452	73	.	.	PUNCT
ejpam-6152	453	1	conclusion	conclusion	NOUN
ejpam-6152	453	2	in	in	ADP
ejpam-6152	453	3	this	this	DET
ejpam-6152	453	4	study	study	NOUN
ejpam-6152	453	5	,	,	PUNCT
ejpam-6152	453	6	we	we	PRON
ejpam-6152	453	7	explored	explore	VERB
ejpam-6152	453	8	the	the	DET
ejpam-6152	453	9	chaotic	chaotic	ADJ
ejpam-6152	453	10	behavior	behavior	NOUN
ejpam-6152	453	11	of	of	ADP
ejpam-6152	453	12	a	a	DET
ejpam-6152	453	13	variable	variable	ADJ
ejpam-6152	453	14	-	-	PUNCT
ejpam-6152	453	15	order	order	NOUN
ejpam-6152	453	16	glucose	glucose	NOUN
ejpam-6152	453	17	-	-	PUNCT
ejpam-6152	453	18	insulin	insulin	NOUN
ejpam-6152	453	19	regulatory	regulatory	ADJ
ejpam-6152	453	20	system	system	NOUN
ejpam-6152	453	21	using	use	VERB
ejpam-6152	453	22	fractional	fractional	ADJ
ejpam-6152	453	23	differential	differential	NOUN
ejpam-6152	453	24	operators	operator	NOUN
ejpam-6152	453	25	with	with	ADP
ejpam-6152	453	26	an	an	DET
ejpam-6152	453	27	exponential	exponential	ADJ
ejpam-6152	453	28	decay	decay	NOUN
ejpam-6152	453	29	kernel	kernel	NOUN
ejpam-6152	453	30	.	.	PUNCT
ejpam-6152	454	1	s.	s.	PROPN
ejpam-6152	454	2	saber	saber	PROPN
ejpam-6152	454	3	et	et	PROPN
ejpam-6152	454	4	al	al	PROPN
ejpam-6152	454	5	.	.	PUNCT
ejpam-6152	454	6	/	/	SYM
ejpam-6152	454	7	eur	eur	PROPN
ejpam-6152	454	8	.	.	PUNCT
ejpam-6152	455	1	j.	j.	PROPN
ejpam-6152	455	2	pure	pure	PROPN
ejpam-6152	455	3	appl	appl	PROPN
ejpam-6152	455	4	.	.	PROPN
ejpam-6152	455	5	math	math	PROPN
ejpam-6152	455	6	,	,	PUNCT
ejpam-6152	455	7	18	18	NUM
ejpam-6152	455	8	(	(	PUNCT
ejpam-6152	455	9	2	2	NUM
ejpam-6152	455	10	)	)	PUNCT
ejpam-6152	455	11	(	(	PUNCT
ejpam-6152	455	12	2025	2025	NUM
ejpam-6152	455	13	)	)	PUNCT
ejpam-6152	455	14	,	,	PUNCT
ejpam-6152	455	15	6152	6152	NUM
ejpam-6152	455	16	20	20	NUM
ejpam-6152	455	17	of	of	ADP
ejpam-6152	455	18	24	24	NUM
ejpam-6152	455	19	our	our	PRON
ejpam-6152	455	20	findings	finding	NOUN
ejpam-6152	455	21	demonstrate	demonstrate	VERB
ejpam-6152	455	22	that	that	SCONJ
ejpam-6152	455	23	fractional	fractional	ADJ
ejpam-6152	455	24	operators	operator	NOUN
ejpam-6152	455	25	significantly	significantly	ADV
ejpam-6152	455	26	influence	influence	VERB
ejpam-6152	455	27	the	the	DET
ejpam-6152	455	28	system	system	NOUN
ejpam-6152	455	29	’s	’s	PART
ejpam-6152	455	30	chaotic	chaotic	ADJ
ejpam-6152	455	31	dynamics	dynamic	NOUN
ejpam-6152	455	32	,	,	PUNCT
ejpam-6152	455	33	with	with	ADP
ejpam-6152	455	34	exponential	exponential	ADJ
ejpam-6152	455	35	decay	decay	NOUN
ejpam-6152	455	36	kernels	kernel	NOUN
ejpam-6152	455	37	introducing	introduce	VERB
ejpam-6152	455	38	long	long	ADJ
ejpam-6152	455	39	-	-	PUNCT
ejpam-6152	455	40	range	range	NOUN
ejpam-6152	455	41	memory	memory	NOUN
ejpam-6152	455	42	effects	effect	NOUN
ejpam-6152	455	43	that	that	PRON
ejpam-6152	455	44	lead	lead	VERB
ejpam-6152	455	45	to	to	ADP
ejpam-6152	455	46	increased	increase	VERB
ejpam-6152	455	47	complexity	complexity	NOUN
ejpam-6152	455	48	and	and	CCONJ
ejpam-6152	455	49	unpredictability	unpredictability	NOUN
ejpam-6152	455	50	,	,	PUNCT
ejpam-6152	455	51	while	while	SCONJ
ejpam-6152	455	52	localized	localized	ADJ
ejpam-6152	455	53	dynamics	dynamic	NOUN
ejpam-6152	455	54	under	under	ADP
ejpam-6152	455	55	other	other	ADJ
ejpam-6152	455	56	conditions	condition	NOUN
ejpam-6152	455	57	exhibit	exhibit	VERB
ejpam-6152	455	58	faster	fast	ADJ
ejpam-6152	455	59	convergence	convergence	NOUN
ejpam-6152	455	60	to	to	ADP
ejpam-6152	455	61	equilibrium	equilibrium	NOUN
ejpam-6152	455	62	.	.	PUNCT
ejpam-6152	456	1	using	use	VERB
ejpam-6152	456	2	fixed	fix	VERB
ejpam-6152	456	3	-	-	PUNCT
ejpam-6152	456	4	point	point	NOUN
ejpam-6152	456	5	theory	theory	NOUN
ejpam-6152	456	6	,	,	PUNCT
ejpam-6152	456	7	we	we	PRON
ejpam-6152	456	8	established	establish	VERB
ejpam-6152	456	9	the	the	DET
ejpam-6152	456	10	uniqueness	uniqueness	NOUN
ejpam-6152	456	11	and	and	CCONJ
ejpam-6152	456	12	boundedness	boundedness	NOUN
ejpam-6152	456	13	of	of	ADP
ejpam-6152	456	14	solutions	solution	NOUN
ejpam-6152	456	15	,	,	PUNCT
ejpam-6152	456	16	and	and	CCONJ
ejpam-6152	456	17	due	due	ADP
ejpam-6152	456	18	to	to	ADP
ejpam-6152	456	19	the	the	DET
ejpam-6152	456	20	model	model	NOUN
ejpam-6152	456	21	’s	’s	PART
ejpam-6152	456	22	high	high	ADJ
ejpam-6152	456	23	nonlinearity	nonlinearity	NOUN
ejpam-6152	456	24	,	,	PUNCT
ejpam-6152	456	25	a	a	DET
ejpam-6152	456	26	numerical	numerical	ADJ
ejpam-6152	456	27	scheme	scheme	NOUN
ejpam-6152	456	28	was	be	AUX
ejpam-6152	456	29	employed	employ	VERB
ejpam-6152	456	30	.	.	PUNCT
ejpam-6152	457	1	through	through	ADP
ejpam-6152	457	2	variable	variable	ADJ
ejpam-6152	457	3	-	-	PUNCT
ejpam-6152	457	4	order	order	NOUN
ejpam-6152	457	5	numerical	numerical	ADJ
ejpam-6152	457	6	methods	method	NOUN
ejpam-6152	457	7	,	,	PUNCT
ejpam-6152	457	8	we	we	PRON
ejpam-6152	457	9	effectively	effectively	ADV
ejpam-6152	457	10	captured	capture	VERB
ejpam-6152	457	11	the	the	DET
ejpam-6152	457	12	chaotic	chaotic	ADJ
ejpam-6152	457	13	nature	nature	NOUN
ejpam-6152	457	14	of	of	ADP
ejpam-6152	457	15	glucose	glucose	NOUN
ejpam-6152	457	16	-	-	PUNCT
ejpam-6152	457	17	insulin	insulin	NOUN
ejpam-6152	457	18	interactions	interaction	NOUN
ejpam-6152	457	19	,	,	PUNCT
ejpam-6152	457	20	showing	show	VERB
ejpam-6152	457	21	improved	improved	ADJ
ejpam-6152	457	22	accuracy	accuracy	NOUN
ejpam-6152	457	23	over	over	ADP
ejpam-6152	457	24	traditional	traditional	ADJ
ejpam-6152	457	25	approaches	approach	NOUN
ejpam-6152	457	26	.	.	PUNCT
ejpam-6152	458	1	this	this	DET
ejpam-6152	458	2	enhanced	enhance	VERB
ejpam-6152	458	3	understanding	understanding	NOUN
ejpam-6152	458	4	of	of	ADP
ejpam-6152	458	5	memory	memory	NOUN
ejpam-6152	458	6	effects	effect	NOUN
ejpam-6152	458	7	and	and	CCONJ
ejpam-6152	458	8	chaos	chaos	NOUN
ejpam-6152	458	9	contributes	contribute	VERB
ejpam-6152	458	10	to	to	ADP
ejpam-6152	458	11	the	the	DET
ejpam-6152	458	12	development	development	NOUN
ejpam-6152	458	13	of	of	ADP
ejpam-6152	458	14	more	more	ADV
ejpam-6152	458	15	effective	effective	ADJ
ejpam-6152	458	16	strategies	strategy	NOUN
ejpam-6152	458	17	for	for	ADP
ejpam-6152	458	18	diabetes	diabetes	NOUN
ejpam-6152	458	19	control	control	NOUN
ejpam-6152	458	20	and	and	CCONJ
ejpam-6152	458	21	offers	offer	VERB
ejpam-6152	458	22	a	a	DET
ejpam-6152	458	23	promising	promising	ADJ
ejpam-6152	458	24	foundation	foundation	NOUN
ejpam-6152	458	25	for	for	ADP
ejpam-6152	458	26	optimizing	optimize	VERB
ejpam-6152	458	27	insulin	insulin	NOUN
ejpam-6152	458	28	delivery	delivery	NOUN
ejpam-6152	458	29	systems	system	NOUN
ejpam-6152	458	30	.	.	PUNCT
ejpam-6152	459	1	building	build	VERB
ejpam-6152	459	2	on	on	ADP
ejpam-6152	459	3	these	these	DET
ejpam-6152	459	4	findings	finding	NOUN
ejpam-6152	459	5	,	,	PUNCT
ejpam-6152	459	6	future	future	ADJ
ejpam-6152	459	7	research	research	NOUN
ejpam-6152	459	8	can	can	AUX
ejpam-6152	459	9	focus	focus	VERB
ejpam-6152	459	10	on	on	ADP
ejpam-6152	459	11	generalizing	generalize	VERB
ejpam-6152	459	12	the	the	DET
ejpam-6152	459	13	model	model	NOUN
ejpam-6152	459	14	to	to	PART
ejpam-6152	459	15	include	include	VERB
ejpam-6152	459	16	physiological	physiological	ADJ
ejpam-6152	459	17	factors	factor	NOUN
ejpam-6152	459	18	such	such	ADJ
ejpam-6152	459	19	as	as	ADP
ejpam-6152	459	20	glucagon	glucagon	NOUN
ejpam-6152	459	21	dynamics	dynamic	NOUN
ejpam-6152	459	22	,	,	PUNCT
ejpam-6152	459	23	physical	physical	ADJ
ejpam-6152	459	24	activity	activity	NOUN
ejpam-6152	459	25	,	,	PUNCT
ejpam-6152	459	26	stress	stress	NOUN
ejpam-6152	459	27	,	,	PUNCT
ejpam-6152	459	28	and	and	CCONJ
ejpam-6152	459	29	circadian	circadian	ADJ
ejpam-6152	459	30	rhythms	rhythm	NOUN
ejpam-6152	459	31	;	;	PUNCT
ejpam-6152	459	32	incorporating	incorporate	VERB
ejpam-6152	459	33	stochastic	stochastic	ADJ
ejpam-6152	459	34	modeling	modeling	NOUN
ejpam-6152	459	35	to	to	PART
ejpam-6152	459	36	reflect	reflect	VERB
ejpam-6152	459	37	real	real	ADJ
ejpam-6152	459	38	-	-	PUNCT
ejpam-6152	459	39	world	world	NOUN
ejpam-6152	459	40	variability	variability	NOUN
ejpam-6152	459	41	;	;	PUNCT
ejpam-6152	459	42	calibrating	calibrate	VERB
ejpam-6152	459	43	the	the	DET
ejpam-6152	459	44	model	model	NOUN
ejpam-6152	459	45	using	use	VERB
ejpam-6152	459	46	continuous	continuous	ADJ
ejpam-6152	459	47	glucose	glucose	NOUN
ejpam-6152	459	48	monitoring	monitoring	NOUN
ejpam-6152	459	49	and	and	CCONJ
ejpam-6152	459	50	insulin	insulin	NOUN
ejpam-6152	459	51	pump	pump	NOUN
ejpam-6152	459	52	data	datum	NOUN
ejpam-6152	459	53	;	;	PUNCT
ejpam-6152	459	54	designing	design	VERB
ejpam-6152	459	55	advanced	advanced	ADJ
ejpam-6152	459	56	adaptive	adaptive	ADJ
ejpam-6152	459	57	control	control	NOUN
ejpam-6152	459	58	algorithms	algorithm	NOUN
ejpam-6152	459	59	for	for	ADP
ejpam-6152	459	60	artificial	artificial	ADJ
ejpam-6152	459	61	pancreas	pancreas	NOUN
ejpam-6152	459	62	systems	system	NOUN
ejpam-6152	459	63	;	;	PUNCT
ejpam-6152	459	64	integrating	integrate	VERB
ejpam-6152	459	65	machine	machine	NOUN
ejpam-6152	459	66	learning	learning	NOUN
ejpam-6152	459	67	for	for	ADP
ejpam-6152	459	68	prediction	prediction	NOUN
ejpam-6152	459	69	and	and	CCONJ
ejpam-6152	459	70	decision	decision	NOUN
ejpam-6152	459	71	support	support	NOUN
ejpam-6152	459	72	;	;	PUNCT
ejpam-6152	459	73	and	and	CCONJ
ejpam-6152	459	74	validating	validate	VERB
ejpam-6152	459	75	the	the	DET
ejpam-6152	459	76	model	model	NOUN
ejpam-6152	459	77	through	through	ADP
ejpam-6152	459	78	clinical	clinical	ADJ
ejpam-6152	459	79	trials	trial	NOUN
ejpam-6152	459	80	to	to	PART
ejpam-6152	459	81	ensure	ensure	VERB
ejpam-6152	459	82	its	its	PRON
ejpam-6152	459	83	reliability	reliability	NOUN
ejpam-6152	459	84	and	and	CCONJ
ejpam-6152	459	85	applicability	applicability	NOUN
ejpam-6152	459	86	in	in	ADP
ejpam-6152	459	87	personalized	personalized	ADJ
ejpam-6152	459	88	diabetes	diabetes	NOUN
ejpam-6152	459	89	management	management	NOUN
ejpam-6152	459	90	.	.	PUNCT
ejpam-6152	460	1	acknowledgment	acknowledgment	NOUN
ejpam-6152	460	2	the	the	DET
ejpam-6152	460	3	authors	author	NOUN
ejpam-6152	460	4	extend	extend	VERB
ejpam-6152	460	5	their	their	PRON
ejpam-6152	460	6	appreciation	appreciation	NOUN
ejpam-6152	460	7	to	to	ADP
ejpam-6152	460	8	umm	umm	INTJ
ejpam-6152	460	9	al	al	PROPN
ejpam-6152	460	10	-	-	PUNCT
ejpam-6152	460	11	qura	qura	PROPN
ejpam-6152	460	12	university	university	NOUN
ejpam-6152	460	13	,	,	PUNCT
ejpam-6152	460	14	saudi	saudi	PROPN
ejpam-6152	460	15	arabia	arabia	PROPN
ejpam-6152	460	16	under	under	ADP
ejpam-6152	460	17	grant	grant	NOUN
ejpam-6152	460	18	number	number	NOUN
ejpam-6152	460	19	25uqu4340608gssr01	25uqu4340608gssr01	NUM
ejpam-6152	460	20	.	.	PUNCT
ejpam-6152	461	1	funding	fund	VERB
ejpam-6152	461	2	this	this	DET
ejpam-6152	461	3	research	research	NOUN
ejpam-6152	461	4	work	work	NOUN
ejpam-6152	461	5	was	be	AUX
ejpam-6152	461	6	funded	fund	VERB
ejpam-6152	461	7	by	by	ADP
ejpam-6152	461	8	umm	umm	INTJ
ejpam-6152	461	9	al	al	PROPN
ejpam-6152	461	10	-	-	PUNCT
ejpam-6152	461	11	qura	qura	PROPN
ejpam-6152	461	12	university	university	NOUN
ejpam-6152	461	13	,	,	PUNCT
ejpam-6152	461	14	saudi	saudi	PROPN
ejpam-6152	461	15	arabia	arabia	PROPN
ejpam-6152	461	16	under	under	ADP
ejpam-6152	461	17	grant	grant	NOUN
ejpam-6152	461	18	number	number	NOUN
ejpam-6152	461	19	25uqu4340608gssr01	25uqu4340608gssr01	NUM
ejpam-6152	461	20	.	.	PUNCT
ejpam-6152	462	1	references	reference	NOUN
ejpam-6152	462	2	[	[	X
ejpam-6152	462	3	1	1	NUM
ejpam-6152	462	4	]	]	PUNCT
ejpam-6152	462	5	world	world	NOUN
ejpam-6152	462	6	health	health	NOUN
ejpam-6152	462	7	organization	organization	NOUN
ejpam-6152	462	8	.	.	PUNCT
ejpam-6152	463	1	global	global	ADJ
ejpam-6152	463	2	report	report	NOUN
ejpam-6152	463	3	on	on	ADP
ejpam-6152	463	4	diabetes	diabetes	NOUN
ejpam-6152	463	5	.	.	PUNCT
ejpam-6152	464	1	who	who	PRON
ejpam-6152	464	2	,	,	PUNCT
ejpam-6152	464	3	2016	2016	NUM
ejpam-6152	464	4	.	.	PUNCT
ejpam-6152	465	1	[	[	X
ejpam-6152	465	2	2	2	NUM
ejpam-6152	465	3	]	]	X
ejpam-6152	465	4	international	international	ADJ
ejpam-6152	465	5	diabetes	diabetes	NOUN
ejpam-6152	465	6	federation	federation	PROPN
ejpam-6152	465	7	.	.	PUNCT
ejpam-6152	466	1	idf	idf	PROPN
ejpam-6152	466	2	diabetes	diabetes	PROPN
ejpam-6152	466	3	atlas	atlas	PROPN
ejpam-6152	466	4	,	,	PUNCT
ejpam-6152	466	5	9th	9th	ADJ
ejpam-6152	466	6	edition	edition	NOUN
ejpam-6152	466	7	.	.	PUNCT
ejpam-6152	467	1	international	international	ADJ
ejpam-6152	467	2	diabetes	diabetes	PROPN
ejpam-6152	467	3	federation	federation	PROPN
ejpam-6152	467	4	,	,	PUNCT
ejpam-6152	467	5	brussels	brussels	PROPN
ejpam-6152	467	6	,	,	PUNCT
ejpam-6152	467	7	belgium	belgium	NOUN
ejpam-6152	467	8	,	,	PUNCT
ejpam-6152	467	9	2019	2019	NUM
ejpam-6152	467	10	.	.	PUNCT
ejpam-6152	468	1	[	[	X
ejpam-6152	468	2	3	3	X
ejpam-6152	468	3	]	]	X
ejpam-6152	468	4	j.a	j.a	PROPN
ejpam-6152	468	5	.	.	PROPN
ejpam-6152	468	6	al	al	PROPN
ejpam-6152	468	7	-	-	PUNCT
ejpam-6152	468	8	lawati	lawati	NOUN
ejpam-6152	468	9	.	.	PUNCT
ejpam-6152	469	1	diabetes	diabetes	NOUN
ejpam-6152	469	2	mellitus	mellitus	NOUN
ejpam-6152	469	3	:	:	PUNCT
ejpam-6152	469	4	a	a	DET
ejpam-6152	469	5	local	local	ADJ
ejpam-6152	469	6	and	and	CCONJ
ejpam-6152	469	7	global	global	ADJ
ejpam-6152	469	8	public	public	ADJ
ejpam-6152	469	9	health	health	NOUN
ejpam-6152	469	10	emergency	emergency	NOUN
ejpam-6152	469	11	!	!	PUNCT
ejpam-6152	470	1	oman	oman	PROPN
ejpam-6152	470	2	medical	medical	PROPN
ejpam-6152	470	3	journal	journal	PROPN
ejpam-6152	470	4	,	,	PUNCT
ejpam-6152	470	5	32(3):177–179	32(3):177–179	NUM
ejpam-6152	470	6	,	,	PUNCT
ejpam-6152	470	7	2017	2017	NUM
ejpam-6152	470	8	.	.	PUNCT
ejpam-6152	471	1	[	[	X
ejpam-6152	471	2	4	4	NUM
ejpam-6152	471	3	]	]	X
ejpam-6152	471	4	r.a	r.a	PROPN
ejpam-6152	471	5	.	.	PROPN
ejpam-6152	471	6	defronzo	defronzo	PROPN
ejpam-6152	471	7	,	,	PUNCT
ejpam-6152	471	8	e.	e.	PROPN
ejpam-6152	471	9	ferrannini	ferrannini	PROPN
ejpam-6152	471	10	,	,	PUNCT
ejpam-6152	471	11	p.	p.	NOUN
ejpam-6152	471	12	zimmet	zimmet	NOUN
ejpam-6152	471	13	,	,	PUNCT
ejpam-6152	471	14	and	and	CCONJ
ejpam-6152	471	15	k.	k.	PROPN
ejpam-6152	471	16	george	george	PROPN
ejpam-6152	471	17	.	.	PUNCT
ejpam-6152	472	1	international	international	ADJ
ejpam-6152	472	2	textbook	textbook	NOUN
ejpam-6152	472	3	of	of	ADP
ejpam-6152	472	4	diabetes	diabetes	NOUN
ejpam-6152	472	5	mellitus	mellitus	NOUN
ejpam-6152	472	6	.	.	PUNCT
ejpam-6152	473	1	wiley	wiley	PROPN
ejpam-6152	473	2	-	-	PUNCT
ejpam-6152	473	3	blackwell	blackwell	PROPN
ejpam-6152	473	4	,	,	PUNCT
ejpam-6152	473	5	4th	4th	ADJ
ejpam-6152	473	6	edition	edition	NOUN
ejpam-6152	473	7	,	,	PUNCT
ejpam-6152	473	8	2009	2009	NUM
ejpam-6152	473	9	.	.	PUNCT
ejpam-6152	474	1	[	[	X
ejpam-6152	474	2	5	5	X
ejpam-6152	474	3	]	]	X
ejpam-6152	474	4	d.m	d.m	PROPN
ejpam-6152	474	5	.	.	PUNCT
ejpam-6152	474	6	nathan	nathan	PROPN
ejpam-6152	474	7	et	et	PROPN
ejpam-6152	474	8	al	al	PROPN
ejpam-6152	474	9	.	.	PUNCT
ejpam-6152	474	10	management	management	NOUN
ejpam-6152	474	11	of	of	ADP
ejpam-6152	474	12	hyperglycemia	hyperglycemia	NOUN
ejpam-6152	474	13	in	in	ADP
ejpam-6152	474	14	type	type	NOUN
ejpam-6152	474	15	2	2	NUM
ejpam-6152	474	16	diabetes	diabetes	NOUN
ejpam-6152	474	17	:	:	PUNCT
ejpam-6152	474	18	a	a	DET
ejpam-6152	474	19	patientcentered	patientcentere	VERB
ejpam-6152	474	20	approach	approach	NOUN
ejpam-6152	474	21	.	.	PUNCT
ejpam-6152	475	1	diabetes	diabetes	NOUN
ejpam-6152	475	2	care	care	NOUN
ejpam-6152	475	3	,	,	PUNCT
ejpam-6152	475	4	37(3):563–575	37(3):563–575	PROPN
ejpam-6152	475	5	,	,	PUNCT
ejpam-6152	475	6	2014	2014	NUM
ejpam-6152	475	7	.	.	PUNCT
ejpam-6152	476	1	[	[	X
ejpam-6152	476	2	6	6	NUM
ejpam-6152	476	3	]	]	X
ejpam-6152	476	4	j.t	j.t	PROPN
ejpam-6152	476	5	.	.	PROPN
ejpam-6152	476	6	sorensen	sorensen	PROPN
ejpam-6152	476	7	.	.	PUNCT
ejpam-6152	477	1	a	a	DET
ejpam-6152	477	2	physiologic	physiologic	ADJ
ejpam-6152	477	3	model	model	NOUN
ejpam-6152	477	4	of	of	ADP
ejpam-6152	477	5	glucose	glucose	NOUN
ejpam-6152	477	6	metabolism	metabolism	NOUN
ejpam-6152	477	7	in	in	ADP
ejpam-6152	477	8	man	man	NOUN
ejpam-6152	477	9	and	and	CCONJ
ejpam-6152	477	10	its	its	PRON
ejpam-6152	477	11	use	use	NOUN
ejpam-6152	477	12	to	to	PART
ejpam-6152	477	13	design	design	VERB
ejpam-6152	477	14	and	and	CCONJ
ejpam-6152	477	15	assess	assess	VERB
ejpam-6152	477	16	improved	improved	ADJ
ejpam-6152	477	17	insulin	insulin	NOUN
ejpam-6152	477	18	therapies	therapy	NOUN
ejpam-6152	477	19	for	for	ADP
ejpam-6152	477	20	diabetes	diabetes	NOUN
ejpam-6152	477	21	.	.	PUNCT
ejpam-6152	478	1	phd	phd	NOUN
ejpam-6152	478	2	thesis	thesis	PROPN
ejpam-6152	478	3	,	,	PUNCT
ejpam-6152	478	4	mit	mit	NOUN
ejpam-6152	478	5	,	,	PUNCT
ejpam-6152	478	6	1985	1985	NUM
ejpam-6152	478	7	.	.	PUNCT
ejpam-6152	479	1	[	[	X
ejpam-6152	479	2	7	7	X
ejpam-6152	479	3	]	]	X
ejpam-6152	479	4	r.n	r.n	PROPN
ejpam-6152	479	5	.	.	PROPN
ejpam-6152	479	6	bergman	bergman	PROPN
ejpam-6152	479	7	,	,	PUNCT
ejpam-6152	479	8	y.z	y.z	PROPN
ejpam-6152	479	9	.	.	PROPN
ejpam-6152	479	10	ider	ider	PROPN
ejpam-6152	479	11	,	,	PUNCT
ejpam-6152	479	12	c.r	c.r	PROPN
ejpam-6152	479	13	.	.	PROPN
ejpam-6152	479	14	bowden	bowden	PROPN
ejpam-6152	479	15	,	,	PUNCT
ejpam-6152	479	16	and	and	CCONJ
ejpam-6152	479	17	c.	c.	PROPN
ejpam-6152	479	18	cobelli	cobelli	PROPN
ejpam-6152	479	19	.	.	PUNCT
ejpam-6152	480	1	quantitative	quantitative	ADJ
ejpam-6152	480	2	estimation	estimation	NOUN
ejpam-6152	480	3	of	of	ADP
ejpam-6152	480	4	insulin	insulin	NOUN
ejpam-6152	480	5	sensitivity	sensitivity	NOUN
ejpam-6152	480	6	.	.	PUNCT
ejpam-6152	481	1	american	american	PROPN
ejpam-6152	481	2	journal	journal	PROPN
ejpam-6152	481	3	of	of	ADP
ejpam-6152	481	4	physiology	physiology	NOUN
ejpam-6152	481	5	,	,	PUNCT
ejpam-6152	481	6	236	236	NUM
ejpam-6152	481	7	:	:	PUNCT
ejpam-6152	481	8	e667	e667	PROPN
ejpam-6152	481	9	–	–	PUNCT
ejpam-6152	481	10	e677	e677	PROPN
ejpam-6152	481	11	,	,	PUNCT
ejpam-6152	481	12	1979	1979	NUM
ejpam-6152	481	13	.	.	PUNCT
ejpam-6152	482	1	s.	s.	PROPN
ejpam-6152	482	2	saber	saber	PROPN
ejpam-6152	482	3	et	et	PROPN
ejpam-6152	482	4	al	al	PROPN
ejpam-6152	482	5	.	.	PUNCT
ejpam-6152	482	6	/	/	SYM
ejpam-6152	482	7	eur	eur	PROPN
ejpam-6152	482	8	.	.	PUNCT
ejpam-6152	483	1	j.	j.	PROPN
ejpam-6152	483	2	pure	pure	PROPN
ejpam-6152	483	3	appl	appl	PROPN
ejpam-6152	483	4	.	.	PROPN
ejpam-6152	483	5	math	math	PROPN
ejpam-6152	483	6	,	,	PUNCT
ejpam-6152	483	7	18	18	NUM
ejpam-6152	483	8	(	(	PUNCT
ejpam-6152	483	9	2	2	NUM
ejpam-6152	483	10	)	)	PUNCT
ejpam-6152	483	11	(	(	PUNCT
ejpam-6152	483	12	2025	2025	NUM
ejpam-6152	483	13	)	)	PUNCT
ejpam-6152	483	14	,	,	PUNCT
ejpam-6152	483	15	6152	6152	NUM
ejpam-6152	483	16	21	21	NUM
ejpam-6152	483	17	of	of	ADP
ejpam-6152	483	18	24	24	NUM
ejpam-6152	484	1	[	[	SYM
ejpam-6152	484	2	8	8	NUM
ejpam-6152	484	3	]	]	PUNCT
ejpam-6152	484	4	l.	l.	PROPN
ejpam-6152	484	5	zhang	zhang	PROPN
ejpam-6152	484	6	and	and	CCONJ
ejpam-6152	484	7	y.	y.	PROPN
ejpam-6152	484	8	liu	liu	PROPN
ejpam-6152	484	9	.	.	PUNCT
ejpam-6152	485	1	artificial	artificial	ADJ
ejpam-6152	485	2	pancreas	pancrea	NOUN
ejpam-6152	485	3	:	:	PUNCT
ejpam-6152	485	4	status	status	NOUN
ejpam-6152	485	5	and	and	CCONJ
ejpam-6152	485	6	prospects	prospect	NOUN
ejpam-6152	485	7	.	.	PUNCT
ejpam-6152	486	1	current	current	ADJ
ejpam-6152	486	2	opinion	opinion	NOUN
ejpam-6152	486	3	in	in	ADP
ejpam-6152	486	4	clinical	clinical	ADJ
ejpam-6152	486	5	nutrition	nutrition	NOUN
ejpam-6152	486	6	and	and	CCONJ
ejpam-6152	486	7	metabolic	metabolic	NOUN
ejpam-6152	486	8	care	care	NOUN
ejpam-6152	486	9	,	,	PUNCT
ejpam-6152	486	10	13:384–390	13:384–390	NUM
ejpam-6152	486	11	,	,	PUNCT
ejpam-6152	486	12	2010	2010	NUM
ejpam-6152	486	13	.	.	PUNCT
ejpam-6152	487	1	[	[	X
ejpam-6152	487	2	9	9	NUM
ejpam-6152	487	3	]	]	X
ejpam-6152	487	4	r.	r.	PROPN
ejpam-6152	487	5	pal	pal	PROPN
ejpam-6152	487	6	et	et	PROPN
ejpam-6152	487	7	al	al	PROPN
ejpam-6152	487	8	.	.	PROPN
ejpam-6152	487	9	closed	close	VERB
ejpam-6152	487	10	-	-	PUNCT
ejpam-6152	487	11	loop	loop	NOUN
ejpam-6152	487	12	control	control	NOUN
ejpam-6152	487	13	for	for	ADP
ejpam-6152	487	14	type	type	NOUN
ejpam-6152	487	15	1	1	NUM
ejpam-6152	487	16	diabetes	diabetes	NOUN
ejpam-6152	487	17	using	use	VERB
ejpam-6152	487	18	reinforcement	reinforcement	NOUN
ejpam-6152	487	19	learning	learning	NOUN
ejpam-6152	487	20	:	:	PUNCT
ejpam-6152	487	21	a	a	DET
ejpam-6152	487	22	study	study	NOUN
ejpam-6152	487	23	.	.	PUNCT
ejpam-6152	488	1	ieee	ieee	NOUN
ejpam-6152	488	2	transactions	transaction	NOUN
ejpam-6152	488	3	on	on	ADP
ejpam-6152	488	4	biomedical	biomedical	ADJ
ejpam-6152	488	5	engineering	engineering	NOUN
ejpam-6152	488	6	,	,	PUNCT
ejpam-6152	488	7	62(6):1477–1487	62(6):1477–1487	NUM
ejpam-6152	488	8	,	,	PUNCT
ejpam-6152	488	9	2015	2015	NUM
ejpam-6152	488	10	.	.	PUNCT
ejpam-6152	489	1	[	[	X
ejpam-6152	489	2	10	10	NUM
ejpam-6152	489	3	]	]	X
ejpam-6152	489	4	h.	h.	PROPN
ejpam-6152	489	5	kirchsteiger	kirchsteiger	PROPN
ejpam-6152	489	6	,	,	PUNCT
ejpam-6152	489	7	j.b	j.b	PROPN
ejpam-6152	489	8	.	.	PUNCT
ejpam-6152	489	9	jørgensen	jørgensen	PROPN
ejpam-6152	489	10	,	,	PUNCT
ejpam-6152	489	11	a.	a.	NOUN
ejpam-6152	489	12	renard	renard	PROPN
ejpam-6152	489	13	,	,	PUNCT
ejpam-6152	489	14	and	and	CCONJ
ejpam-6152	489	15	l.	l.	PROPN
ejpam-6152	489	16	del	del	PROPN
ejpam-6152	489	17	re	re	PROPN
ejpam-6152	489	18	.	.	PUNCT
ejpam-6152	489	19	prediction	prediction	NOUN
ejpam-6152	489	20	methods	method	NOUN
ejpam-6152	489	21	for	for	ADP
ejpam-6152	489	22	blood	blood	NOUN
ejpam-6152	489	23	glucose	glucose	NOUN
ejpam-6152	489	24	concentration	concentration	NOUN
ejpam-6152	489	25	:	:	PUNCT
ejpam-6152	489	26	design	design	NOUN
ejpam-6152	489	27	,	,	PUNCT
ejpam-6152	489	28	use	use	NOUN
ejpam-6152	489	29	,	,	PUNCT
ejpam-6152	489	30	and	and	CCONJ
ejpam-6152	489	31	evaluation	evaluation	NOUN
ejpam-6152	489	32	.	.	PUNCT
ejpam-6152	490	1	springer	springer	NOUN
ejpam-6152	490	2	,	,	PUNCT
ejpam-6152	490	3	2016	2016	NUM
ejpam-6152	490	4	.	.	PUNCT
ejpam-6152	491	1	[	[	X
ejpam-6152	491	2	11	11	NUM
ejpam-6152	491	3	]	]	PUNCT
ejpam-6152	491	4	b.	b.	PROPN
ejpam-6152	491	5	zhou	zhou	PROPN
ejpam-6152	491	6	et	et	PROPN
ejpam-6152	491	7	al	al	PROPN
ejpam-6152	491	8	.	.	PUNCT
ejpam-6152	491	9	diabetes	diabetes	NOUN
ejpam-6152	491	10	-	-	PUNCT
ejpam-6152	491	11	related	relate	VERB
ejpam-6152	491	12	costs	cost	NOUN
ejpam-6152	491	13	and	and	CCONJ
ejpam-6152	491	14	financial	financial	ADJ
ejpam-6152	491	15	burden	burden	NOUN
ejpam-6152	491	16	in	in	ADP
ejpam-6152	491	17	low	low	ADJ
ejpam-6152	491	18	-	-	PUNCT
ejpam-6152	491	19	income	income	NOUN
ejpam-6152	491	20	and	and	CCONJ
ejpam-6152	491	21	middleincome	middleincome	NOUN
ejpam-6152	491	22	countries	country	NOUN
ejpam-6152	491	23	:	:	PUNCT
ejpam-6152	491	24	a	a	DET
ejpam-6152	491	25	systematic	systematic	ADJ
ejpam-6152	491	26	review	review	NOUN
ejpam-6152	491	27	.	.	PUNCT
ejpam-6152	492	1	diabetes	diabetes	NOUN
ejpam-6152	492	2	research	research	NOUN
ejpam-6152	492	3	and	and	CCONJ
ejpam-6152	492	4	clinical	clinical	ADJ
ejpam-6152	492	5	practice	practice	NOUN
ejpam-6152	492	6	,	,	PUNCT
ejpam-6152	492	7	107(2):137–148	107(2):137–148	NUM
ejpam-6152	492	8	,	,	PUNCT
ejpam-6152	492	9	2015	2015	NUM
ejpam-6152	492	10	.	.	PUNCT
ejpam-6152	493	1	[	[	X
ejpam-6152	493	2	12	12	NUM
ejpam-6152	493	3	]	]	X
ejpam-6152	493	4	c.	c.	PROPN
ejpam-6152	493	5	bommer	bommer	PROPN
ejpam-6152	493	6	et	et	PROPN
ejpam-6152	493	7	al	al	PROPN
ejpam-6152	493	8	.	.	PUNCT
ejpam-6152	494	1	the	the	DET
ejpam-6152	494	2	global	global	ADJ
ejpam-6152	494	3	economic	economic	ADJ
ejpam-6152	494	4	burden	burden	NOUN
ejpam-6152	494	5	of	of	ADP
ejpam-6152	494	6	diabetes	diabetes	NOUN
ejpam-6152	494	7	in	in	ADP
ejpam-6152	494	8	adults	adult	NOUN
ejpam-6152	494	9	aged	age	VERB
ejpam-6152	494	10	20–79	20–79	NUM
ejpam-6152	494	11	years	year	NOUN
ejpam-6152	494	12	:	:	PUNCT
ejpam-6152	494	13	a	a	DET
ejpam-6152	494	14	cost	cost	NOUN
ejpam-6152	494	15	-	-	PUNCT
ejpam-6152	494	16	of	of	ADP
ejpam-6152	494	17	-	-	PUNCT
ejpam-6152	494	18	illness	illness	NOUN
ejpam-6152	494	19	study	study	NOUN
ejpam-6152	494	20	.	.	PUNCT
ejpam-6152	495	1	the	the	DET
ejpam-6152	495	2	lancet	lancet	PROPN
ejpam-6152	495	3	diabetes	diabetes	PROPN
ejpam-6152	495	4	&	&	CCONJ
ejpam-6152	495	5	endocrinology	endocrinology	NOUN
ejpam-6152	495	6	,	,	PUNCT
ejpam-6152	495	7	6(6):423–430	6(6):423–430	NOUN
ejpam-6152	495	8	,	,	PUNCT
ejpam-6152	495	9	2018	2018	NUM
ejpam-6152	495	10	.	.	PUNCT
ejpam-6152	496	1	[	[	X
ejpam-6152	496	2	13	13	NUM
ejpam-6152	496	3	]	]	X
ejpam-6152	496	4	e.h	e.h	PROPN
ejpam-6152	496	5	.	.	PROPN
ejpam-6152	496	6	wagner	wagner	PROPN
ejpam-6152	496	7	.	.	PUNCT
ejpam-6152	496	8	chronic	chronic	PROPN
ejpam-6152	496	9	disease	disease	NOUN
ejpam-6152	496	10	management	management	NOUN
ejpam-6152	496	11	:	:	PUNCT
ejpam-6152	496	12	what	what	PRON
ejpam-6152	496	13	will	will	AUX
ejpam-6152	496	14	it	it	PRON
ejpam-6152	496	15	take	take	VERB
ejpam-6152	496	16	to	to	PART
ejpam-6152	496	17	improve	improve	VERB
ejpam-6152	496	18	care	care	NOUN
ejpam-6152	496	19	for	for	ADP
ejpam-6152	496	20	chronic	chronic	ADJ
ejpam-6152	496	21	illness	illness	NOUN
ejpam-6152	496	22	?	?	PUNCT
ejpam-6152	497	1	effective	effective	ADJ
ejpam-6152	497	2	clinical	clinical	ADJ
ejpam-6152	497	3	practice	practice	NOUN
ejpam-6152	497	4	,	,	PUNCT
ejpam-6152	497	5	1(1):2–4	1(1):2–4	NOUN
ejpam-6152	497	6	,	,	PUNCT
ejpam-6152	497	7	1998	1998	NUM
ejpam-6152	497	8	.	.	PUNCT
ejpam-6152	498	1	[	[	X
ejpam-6152	498	2	14	14	NUM
ejpam-6152	498	3	]	]	X
ejpam-6152	498	4	l.	l.	PROPN
ejpam-6152	498	5	fisher	fisher	PROPN
ejpam-6152	498	6	,	,	PUNCT
ejpam-6152	498	7	w.h	w.h	PROPN
ejpam-6152	498	8	.	.	PROPN
ejpam-6152	498	9	polonsky	polonsky	PROPN
ejpam-6152	498	10	,	,	PUNCT
ejpam-6152	498	11	j.t	j.t	PROPN
ejpam-6152	498	12	.	.	PROPN
ejpam-6152	498	13	hessler	hessler	PROPN
ejpam-6152	498	14	,	,	PUNCT
ejpam-6152	498	15	and	and	CCONJ
ejpam-6152	498	16	r.m	r.m	PROPN
ejpam-6152	498	17	.	.	PROPN
ejpam-6152	498	18	johnson	johnson	PROPN
ejpam-6152	498	19	.	.	PUNCT
ejpam-6152	499	1	social	social	ADJ
ejpam-6152	499	2	support	support	NOUN
ejpam-6152	499	3	in	in	ADP
ejpam-6152	499	4	type	type	NOUN
ejpam-6152	499	5	2	2	NUM
ejpam-6152	499	6	diabetes	diabetes	NOUN
ejpam-6152	499	7	:	:	PUNCT
ejpam-6152	499	8	a	a	DET
ejpam-6152	499	9	qualitative	qualitative	ADJ
ejpam-6152	499	10	study	study	NOUN
ejpam-6152	499	11	of	of	ADP
ejpam-6152	499	12	patients	patient	NOUN
ejpam-6152	499	13	’	'	PUNCT
ejpam-6152	499	14	and	and	CCONJ
ejpam-6152	499	15	partners	partner	NOUN
ejpam-6152	499	16	’	’	PART
ejpam-6152	499	17	experiences	experience	NOUN
ejpam-6152	499	18	.	.	PUNCT
ejpam-6152	500	1	health	health	NOUN
ejpam-6152	500	2	psychology	psychology	NOUN
ejpam-6152	500	3	,	,	PUNCT
ejpam-6152	500	4	27(6):662–669	27(6):662–669	PROPN
ejpam-6152	500	5	,	,	PUNCT
ejpam-6152	500	6	2008	2008	NUM
ejpam-6152	500	7	.	.	PUNCT
ejpam-6152	501	1	[	[	X
ejpam-6152	501	2	15	15	NUM
ejpam-6152	501	3	]	]	X
ejpam-6152	501	4	j.	j.	PROPN
ejpam-6152	501	5	beagley	beagley	PROPN
ejpam-6152	501	6	,	,	PUNCT
ejpam-6152	501	7	g.	g.	PROPN
ejpam-6152	501	8	guariguata	guariguata	PROPN
ejpam-6152	501	9	,	,	PUNCT
ejpam-6152	501	10	c.	c.	PROPN
ejpam-6152	501	11	weil	weil	PROPN
ejpam-6152	501	12	,	,	PUNCT
ejpam-6152	501	13	and	and	CCONJ
ejpam-6152	501	14	a.a	a.a	PROPN
ejpam-6152	501	15	.	.	PROPN
ejpam-6152	501	16	motala	motala	PROPN
ejpam-6152	501	17	.	.	PUNCT
ejpam-6152	502	1	global	global	ADJ
ejpam-6152	502	2	estimates	estimate	NOUN
ejpam-6152	502	3	of	of	ADP
ejpam-6152	502	4	undiagnosed	undiagnosed	ADJ
ejpam-6152	502	5	diabetes	diabetes	NOUN
ejpam-6152	502	6	in	in	ADP
ejpam-6152	502	7	adults	adult	NOUN
ejpam-6152	502	8	.	.	PUNCT
ejpam-6152	503	1	diabetes	diabetes	NOUN
ejpam-6152	503	2	research	research	NOUN
ejpam-6152	503	3	and	and	CCONJ
ejpam-6152	503	4	clinical	clinical	ADJ
ejpam-6152	503	5	practice	practice	NOUN
ejpam-6152	503	6	,	,	PUNCT
ejpam-6152	503	7	103(2):150–160	103(2):150–160	NUM
ejpam-6152	503	8	,	,	PUNCT
ejpam-6152	503	9	2014	2014	NUM
ejpam-6152	503	10	.	.	PUNCT
ejpam-6152	504	1	[	[	X
ejpam-6152	504	2	16	16	NUM
ejpam-6152	504	3	]	]	PUNCT
ejpam-6152	504	4	a.	a.	NOUN
ejpam-6152	504	5	atangana	atangana	PROPN
ejpam-6152	504	6	and	and	CCONJ
ejpam-6152	504	7	d.	d.	PROPN
ejpam-6152	504	8	baleanu	baleanu	PROPN
ejpam-6152	504	9	.	.	PUNCT
ejpam-6152	505	1	new	new	ADJ
ejpam-6152	505	2	fractional	fractional	ADJ
ejpam-6152	505	3	derivatives	derivative	NOUN
ejpam-6152	505	4	with	with	ADP
ejpam-6152	505	5	non	non	ADJ
ejpam-6152	505	6	-	-	ADJ
ejpam-6152	505	7	local	local	ADJ
ejpam-6152	505	8	and	and	CCONJ
ejpam-6152	505	9	nonsingular	nonsingular	ADJ
ejpam-6152	505	10	kernel	kernel	PROPN
ejpam-6152	505	11	:	:	PUNCT
ejpam-6152	505	12	theory	theory	NOUN
ejpam-6152	505	13	and	and	CCONJ
ejpam-6152	505	14	application	application	NOUN
ejpam-6152	505	15	to	to	PART
ejpam-6152	505	16	heat	heat	NOUN
ejpam-6152	505	17	transfer	transfer	NOUN
ejpam-6152	505	18	model	model	NOUN
ejpam-6152	505	19	.	.	PUNCT
ejpam-6152	506	1	thermal	thermal	ADJ
ejpam-6152	506	2	science	science	NOUN
ejpam-6152	506	3	,	,	PUNCT
ejpam-6152	506	4	20(2):763–769	20(2):763–769	NOUN
ejpam-6152	506	5	,	,	PUNCT
ejpam-6152	506	6	2016	2016	NUM
ejpam-6152	506	7	.	.	PUNCT
ejpam-6152	507	1	[	[	X
ejpam-6152	507	2	17	17	NUM
ejpam-6152	507	3	]	]	X
ejpam-6152	507	4	j.a	j.a	PROPN
ejpam-6152	507	5	.	.	PROPN
ejpam-6152	507	6	machado	machado	PROPN
ejpam-6152	507	7	,	,	PUNCT
ejpam-6152	507	8	a.m.	a.m.	PROPN
ejpam-6152	507	9	lopes	lopes	PROPN
ejpam-6152	507	10	,	,	PUNCT
ejpam-6152	507	11	and	and	CCONJ
ejpam-6152	507	12	m.f	m.f	PROPN
ejpam-6152	507	13	.	.	PROPN
ejpam-6152	507	14	silva	silva	PROPN
ejpam-6152	507	15	.	.	PUNCT
ejpam-6152	508	1	complex	complex	ADJ
ejpam-6152	508	2	dynamics	dynamic	NOUN
ejpam-6152	508	3	in	in	ADP
ejpam-6152	508	4	fractional	fractional	ADJ
ejpam-6152	508	5	-	-	PUNCT
ejpam-6152	508	6	order	order	NOUN
ejpam-6152	508	7	glucose	glucose	NOUN
ejpam-6152	508	8	-	-	PUNCT
ejpam-6152	508	9	insulin	insulin	NOUN
ejpam-6152	508	10	systems	system	NOUN
ejpam-6152	508	11	.	.	PUNCT
ejpam-6152	509	1	communications	communication	NOUN
ejpam-6152	509	2	in	in	ADP
ejpam-6152	509	3	nonlinear	nonlinear	ADJ
ejpam-6152	509	4	science	science	NOUN
ejpam-6152	509	5	and	and	CCONJ
ejpam-6152	509	6	numerical	numerical	PROPN
ejpam-6152	509	7	simulation	simulation	PROPN
ejpam-6152	509	8	,	,	PUNCT
ejpam-6152	509	9	19(9):2944–2953	19(9):2944–2953	NUM
ejpam-6152	509	10	,	,	PUNCT
ejpam-6152	509	11	2014	2014	NUM
ejpam-6152	509	12	.	.	PUNCT
ejpam-6152	510	1	[	[	X
ejpam-6152	510	2	18	18	NUM
ejpam-6152	510	3	]	]	PUNCT
ejpam-6152	510	4	m.	m.	PROPN
ejpam-6152	510	5	caputo	caputo	PROPN
ejpam-6152	510	6	.	.	PUNCT
ejpam-6152	511	1	linear	linear	PROPN
ejpam-6152	511	2	models	model	NOUN
ejpam-6152	511	3	of	of	ADP
ejpam-6152	511	4	dissipation	dissipation	NOUN
ejpam-6152	511	5	whose	whose	DET
ejpam-6152	511	6	q	q	NOUN
ejpam-6152	511	7	is	be	AUX
ejpam-6152	511	8	almost	almost	ADV
ejpam-6152	511	9	frequency	frequency	ADJ
ejpam-6152	511	10	independent	independent	ADJ
ejpam-6152	511	11	.	.	PUNCT
ejpam-6152	512	1	geophysical	geophysical	ADJ
ejpam-6152	512	2	journal	journal	PROPN
ejpam-6152	512	3	international	international	PROPN
ejpam-6152	512	4	,	,	PUNCT
ejpam-6152	512	5	13:529–539	13:529–539	PROPN
ejpam-6152	512	6	,	,	PUNCT
ejpam-6152	512	7	1967	1967	NUM
ejpam-6152	512	8	.	.	PUNCT
ejpam-6152	513	1	[	[	X
ejpam-6152	513	2	19	19	NUM
ejpam-6152	513	3	]	]	X
ejpam-6152	513	4	r.	r.	PROPN
ejpam-6152	513	5	capponetto	capponetto	PROPN
ejpam-6152	513	6	,	,	PUNCT
ejpam-6152	513	7	g.	g.	PROPN
ejpam-6152	513	8	dongola	dongola	PROPN
ejpam-6152	513	9	,	,	PUNCT
ejpam-6152	513	10	l.	l.	PROPN
ejpam-6152	513	11	fortuna	fortuna	PROPN
ejpam-6152	513	12	,	,	PUNCT
ejpam-6152	513	13	and	and	CCONJ
ejpam-6152	513	14	i.	i.	PROPN
ejpam-6152	513	15	petras	petras	PROPN
ejpam-6152	513	16	.	.	PUNCT
ejpam-6152	514	1	fractional	fractional	ADJ
ejpam-6152	514	2	order	order	NOUN
ejpam-6152	514	3	systems	system	NOUN
ejpam-6152	514	4	:	:	PUNCT
ejpam-6152	514	5	modelling	modelling	NOUN
ejpam-6152	514	6	and	and	CCONJ
ejpam-6152	514	7	control	control	NOUN
ejpam-6152	514	8	applications	application	NOUN
ejpam-6152	514	9	,	,	PUNCT
ejpam-6152	514	10	volume	volume	NOUN
ejpam-6152	514	11	72	72	NUM
ejpam-6152	514	12	ofworld	ofworld	NOUN
ejpam-6152	514	13	scientific	scientific	ADJ
ejpam-6152	514	14	series	series	NOUN
ejpam-6152	514	15	in	in	ADP
ejpam-6152	514	16	nonlinear	nonlinear	ADJ
ejpam-6152	514	17	science	science	NOUN
ejpam-6152	514	18	,	,	PUNCT
ejpam-6152	514	19	series	series	PROPN
ejpam-6152	514	20	a.	a.	PROPN
ejpam-6152	514	21	world	world	PROPN
ejpam-6152	514	22	scientific	scientific	PROPN
ejpam-6152	514	23	,	,	PUNCT
ejpam-6152	514	24	2010	2010	NUM
ejpam-6152	514	25	.	.	PUNCT
ejpam-6152	515	1	[	[	X
ejpam-6152	515	2	20	20	NUM
ejpam-6152	515	3	]	]	X
ejpam-6152	515	4	n.	n.	NOUN
ejpam-6152	515	5	almutairi	almutairi	PROPN
ejpam-6152	515	6	and	and	CCONJ
ejpam-6152	515	7	s.	s.	PROPN
ejpam-6152	515	8	saber	saber	PROPN
ejpam-6152	515	9	.	.	PUNCT
ejpam-6152	516	1	on	on	ADP
ejpam-6152	516	2	chaos	chaos	NOUN
ejpam-6152	516	3	control	control	NOUN
ejpam-6152	516	4	of	of	ADP
ejpam-6152	516	5	nonlinear	nonlinear	PROPN
ejpam-6152	516	6	fractional	fractional	PROPN
ejpam-6152	516	7	newton	newton	PROPN
ejpam-6152	516	8	-	-	PUNCT
ejpam-6152	516	9	leipnik	leipnik	NOUN
ejpam-6152	516	10	system	system	NOUN
ejpam-6152	516	11	via	via	ADP
ejpam-6152	516	12	fractional	fractional	PROPN
ejpam-6152	516	13	caputo	caputo	PROPN
ejpam-6152	516	14	-	-	PUNCT
ejpam-6152	516	15	fabrizio	fabrizio	PROPN
ejpam-6152	516	16	derivatives	derivative	NOUN
ejpam-6152	516	17	.	.	PUNCT
ejpam-6152	517	1	scientific	scientific	ADJ
ejpam-6152	517	2	reports	report	NOUN
ejpam-6152	517	3	,	,	PUNCT
ejpam-6152	517	4	13:22726	13:22726	NOUN
ejpam-6152	517	5	,	,	PUNCT
ejpam-6152	517	6	2023	2023	NUM
ejpam-6152	517	7	.	.	PUNCT
ejpam-6152	518	1	[	[	X
ejpam-6152	518	2	21	21	NUM
ejpam-6152	518	3	]	]	X
ejpam-6152	518	4	n.	n.	NOUN
ejpam-6152	518	5	almutairi	almutairi	PROPN
ejpam-6152	518	6	and	and	CCONJ
ejpam-6152	518	7	s.	s.	PROPN
ejpam-6152	518	8	saber	saber	PROPN
ejpam-6152	518	9	.	.	PUNCT
ejpam-6152	519	1	chaos	chaos	NOUN
ejpam-6152	519	2	control	control	NOUN
ejpam-6152	519	3	and	and	CCONJ
ejpam-6152	519	4	numerical	numerical	ADJ
ejpam-6152	519	5	solution	solution	NOUN
ejpam-6152	519	6	of	of	ADP
ejpam-6152	519	7	time	time	NOUN
ejpam-6152	519	8	-	-	PUNCT
ejpam-6152	519	9	varying	vary	VERB
ejpam-6152	519	10	fractional	fractional	ADJ
ejpam-6152	519	11	newton	newton	PROPN
ejpam-6152	519	12	-	-	PUNCT
ejpam-6152	519	13	leipnik	leipnik	NOUN
ejpam-6152	519	14	system	system	NOUN
ejpam-6152	519	15	using	use	VERB
ejpam-6152	519	16	fractional	fractional	ADJ
ejpam-6152	519	17	atangana	atangana	PROPN
ejpam-6152	519	18	-	-	PUNCT
ejpam-6152	519	19	baleanu	baleanu	ADJ
ejpam-6152	519	20	derivatives	derivative	NOUN
ejpam-6152	519	21	.	.	PUNCT
ejpam-6152	520	1	aims	aim	VERB
ejpam-6152	520	2	mathematics	mathematic	NOUN
ejpam-6152	520	3	,	,	PUNCT
ejpam-6152	520	4	8(11):25863–25887	8(11):25863–25887	NUM
ejpam-6152	520	5	,	,	PUNCT
ejpam-6152	520	6	2023	2023	NUM
ejpam-6152	520	7	.	.	PUNCT
ejpam-6152	521	1	[	[	X
ejpam-6152	521	2	22	22	NUM
ejpam-6152	521	3	]	]	PUNCT
ejpam-6152	522	1	k.	k.	PROPN
ejpam-6152	522	2	i.	i.	PROPN
ejpam-6152	522	3	a.	a.	PROPN
ejpam-6152	522	4	ahmed	ahmed	PROPN
ejpam-6152	522	5	et	et	PROPN
ejpam-6152	522	6	al	al	PROPN
ejpam-6152	522	7	.	.	PROPN
ejpam-6152	523	1	analytical	analytical	ADJ
ejpam-6152	523	2	solutions	solution	NOUN
ejpam-6152	523	3	for	for	ADP
ejpam-6152	523	4	a	a	DET
ejpam-6152	523	5	class	class	NOUN
ejpam-6152	523	6	of	of	ADP
ejpam-6152	523	7	variable	variable	ADJ
ejpam-6152	523	8	-	-	PUNCT
ejpam-6152	523	9	order	order	NOUN
ejpam-6152	523	10	fractional	fractional	ADJ
ejpam-6152	523	11	liu	liu	PROPN
ejpam-6152	523	12	system	system	NOUN
ejpam-6152	523	13	under	under	ADP
ejpam-6152	523	14	time	time	NOUN
ejpam-6152	523	15	-	-	PUNCT
ejpam-6152	523	16	dependent	dependent	ADJ
ejpam-6152	523	17	variable	variable	ADJ
ejpam-6152	523	18	coefficients	coefficient	NOUN
ejpam-6152	523	19	.	.	PUNCT
ejpam-6152	524	1	results	result	NOUN
ejpam-6152	524	2	in	in	ADP
ejpam-6152	524	3	physics	physics	NOUN
ejpam-6152	524	4	,	,	PUNCT
ejpam-6152	524	5	56:107311	56:107311	NUM
ejpam-6152	524	6	,	,	PUNCT
ejpam-6152	524	7	2024	2024	NUM
ejpam-6152	524	8	.	.	PUNCT
ejpam-6152	525	1	[	[	X
ejpam-6152	525	2	23	23	NUM
ejpam-6152	525	3	]	]	X
ejpam-6152	525	4	n.	n.	NOUN
ejpam-6152	525	5	almutairi	almutairi	PROPN
ejpam-6152	525	6	and	and	CCONJ
ejpam-6152	525	7	s.	s.	PROPN
ejpam-6152	525	8	saber	saber	PROPN
ejpam-6152	525	9	.	.	PUNCT
ejpam-6152	526	1	existence	existence	NOUN
ejpam-6152	526	2	of	of	ADP
ejpam-6152	526	3	chaos	chaos	NOUN
ejpam-6152	526	4	and	and	CCONJ
ejpam-6152	526	5	the	the	DET
ejpam-6152	526	6	approximate	approximate	ADJ
ejpam-6152	526	7	solution	solution	NOUN
ejpam-6152	526	8	of	of	ADP
ejpam-6152	526	9	the	the	DET
ejpam-6152	526	10	lorenz	lorenz	PROPN
ejpam-6152	526	11	–	–	PUNCT
ejpam-6152	526	12	lü–chen	lü–chen	NOUN
ejpam-6152	526	13	system	system	NOUN
ejpam-6152	526	14	with	with	ADP
ejpam-6152	526	15	the	the	DET
ejpam-6152	526	16	caputo	caputo	PROPN
ejpam-6152	526	17	fractional	fractional	PROPN
ejpam-6152	526	18	operator	operator	NOUN
ejpam-6152	526	19	.	.	PUNCT
ejpam-6152	527	1	aip	aip	PROPN
ejpam-6152	527	2	advances	advance	NOUN
ejpam-6152	527	3	,	,	PUNCT
ejpam-6152	527	4	14(1):015112	14(1):015112	NUM
ejpam-6152	527	5	,	,	PUNCT
ejpam-6152	527	6	2024	2024	NUM
ejpam-6152	527	7	.	.	PUNCT
ejpam-6152	528	1	[	[	X
ejpam-6152	528	2	24	24	NUM
ejpam-6152	528	3	]	]	PUNCT
ejpam-6152	528	4	a.	a.	NOUN
ejpam-6152	528	5	alsulami	alsulami	PROPN
ejpam-6152	528	6	et	et	PROPN
ejpam-6152	528	7	al	al	PROPN
ejpam-6152	528	8	.	.	PROPN
ejpam-6152	528	9	controlled	control	VERB
ejpam-6152	528	10	chaos	chaos	NOUN
ejpam-6152	528	11	of	of	ADP
ejpam-6152	528	12	a	a	DET
ejpam-6152	528	13	fractal	fractal	ADJ
ejpam-6152	528	14	–	–	PUNCT
ejpam-6152	528	15	fractional	fractional	ADJ
ejpam-6152	528	16	newton	newton	NOUN
ejpam-6152	528	17	-	-	PUNCT
ejpam-6152	528	18	leipnik	leipnik	NOUN
ejpam-6152	528	19	system	system	NOUN
ejpam-6152	528	20	.	.	PUNCT
ejpam-6152	529	1	thermal	thermal	ADJ
ejpam-6152	529	2	science	science	PROPN
ejpam-6152	529	3	,	,	PUNCT
ejpam-6152	529	4	28(6b):5153–5160	28(6b):5153–5160	NUM
ejpam-6152	529	5	,	,	PUNCT
ejpam-6152	529	6	2024	2024	NUM
ejpam-6152	529	7	.	.	PUNCT
ejpam-6152	530	1	[	[	X
ejpam-6152	530	2	25	25	NUM
ejpam-6152	530	3	]	]	PUNCT
ejpam-6152	530	4	s.	s.	PROPN
ejpam-6152	530	5	saber	saber	PROPN
ejpam-6152	530	6	.	.	PUNCT
ejpam-6152	531	1	control	control	NOUN
ejpam-6152	531	2	of	of	ADP
ejpam-6152	531	3	chaos	chaos	NOUN
ejpam-6152	531	4	in	in	ADP
ejpam-6152	531	5	the	the	DET
ejpam-6152	531	6	burke	burke	PROPN
ejpam-6152	531	7	-	-	PUNCT
ejpam-6152	531	8	shaw	shaw	PROPN
ejpam-6152	531	9	system	system	NOUN
ejpam-6152	531	10	of	of	ADP
ejpam-6152	531	11	fractal	fractal	ADJ
ejpam-6152	531	12	-	-	PUNCT
ejpam-6152	531	13	fractional	fractional	ADJ
ejpam-6152	531	14	order	order	NOUN
ejpam-6152	531	15	in	in	ADP
ejpam-6152	531	16	s.	s.	PROPN
ejpam-6152	531	17	saber	saber	PROPN
ejpam-6152	531	18	et	et	PROPN
ejpam-6152	531	19	al	al	PROPN
ejpam-6152	531	20	.	.	PUNCT
ejpam-6152	531	21	/	/	SYM
ejpam-6152	531	22	eur	eur	PROPN
ejpam-6152	531	23	.	.	PUNCT
ejpam-6152	532	1	j.	j.	PROPN
ejpam-6152	532	2	pure	pure	PROPN
ejpam-6152	532	3	appl	appl	PROPN
ejpam-6152	532	4	.	.	PROPN
ejpam-6152	532	5	math	math	PROPN
ejpam-6152	532	6	,	,	PUNCT
ejpam-6152	532	7	18	18	NUM
ejpam-6152	532	8	(	(	PUNCT
ejpam-6152	532	9	2	2	NUM
ejpam-6152	532	10	)	)	PUNCT
ejpam-6152	532	11	(	(	PUNCT
ejpam-6152	532	12	2025	2025	NUM
ejpam-6152	532	13	)	)	PUNCT
ejpam-6152	532	14	,	,	PUNCT
ejpam-6152	532	15	6152	6152	NUM
ejpam-6152	532	16	22	22	NUM
ejpam-6152	532	17	of	of	ADP
ejpam-6152	532	18	24	24	NUM
ejpam-6152	532	19	the	the	DET
ejpam-6152	532	20	sense	sense	NOUN
ejpam-6152	532	21	of	of	ADP
ejpam-6152	532	22	caputo	caputo	PROPN
ejpam-6152	532	23	-	-	PUNCT
ejpam-6152	532	24	fabrizio	fabrizio	PROPN
ejpam-6152	532	25	.	.	PUNCT
ejpam-6152	533	1	journal	journal	PROPN
ejpam-6152	533	2	of	of	ADP
ejpam-6152	533	3	applied	apply	VERB
ejpam-6152	533	4	mathematics	mathematic	NOUN
ejpam-6152	533	5	and	and	CCONJ
ejpam-6152	533	6	computational	computational	ADJ
ejpam-6152	533	7	mechanics	mechanic	NOUN
ejpam-6152	533	8	,	,	PUNCT
ejpam-6152	533	9	23(1):83–96	23(1):83–96	NUM
ejpam-6152	533	10	,	,	PUNCT
ejpam-6152	533	11	2024	2024	NUM
ejpam-6152	533	12	.	.	PUNCT
ejpam-6152	534	1	[	[	X
ejpam-6152	534	2	26	26	NUM
ejpam-6152	534	3	]	]	PUNCT
ejpam-6152	534	4	t.	t.	PROPN
ejpam-6152	534	5	yan	yan	PROPN
ejpam-6152	534	6	et	et	PROPN
ejpam-6152	534	7	al	al	PROPN
ejpam-6152	534	8	.	.	PUNCT
ejpam-6152	535	1	analysis	analysis	NOUN
ejpam-6152	535	2	of	of	ADP
ejpam-6152	535	3	a	a	DET
ejpam-6152	535	4	lorenz	lorenz	PROPN
ejpam-6152	535	5	model	model	NOUN
ejpam-6152	535	6	using	use	VERB
ejpam-6152	535	7	adomian	adomian	NOUN
ejpam-6152	535	8	decomposition	decomposition	NOUN
ejpam-6152	535	9	and	and	CCONJ
ejpam-6152	535	10	fractalfractional	fractalfractional	ADJ
ejpam-6152	535	11	operators	operator	NOUN
ejpam-6152	535	12	.	.	PUNCT
ejpam-6152	536	1	thermal	thermal	ADJ
ejpam-6152	536	2	science	science	NOUN
ejpam-6152	536	3	,	,	PUNCT
ejpam-6152	536	4	28(6b):5001–5009	28(6b):5001–5009	NUM
ejpam-6152	536	5	,	,	PUNCT
ejpam-6152	536	6	2024	2024	NUM
ejpam-6152	536	7	.	.	PUNCT
ejpam-6152	537	1	[	[	X
ejpam-6152	537	2	27	27	NUM
ejpam-6152	537	3	]	]	PUNCT
ejpam-6152	537	4	m.	m.	NOUN
ejpam-6152	537	5	alhazmi	alhazmi	PROPN
ejpam-6152	537	6	et	et	PROPN
ejpam-6152	537	7	al	al	PROPN
ejpam-6152	537	8	.	.	PROPN
ejpam-6152	537	9	numerical	numerical	PROPN
ejpam-6152	537	10	approximation	approximation	NOUN
ejpam-6152	537	11	method	method	NOUN
ejpam-6152	537	12	and	and	CCONJ
ejpam-6152	537	13	chaos	chaos	NOUN
ejpam-6152	537	14	for	for	ADP
ejpam-6152	537	15	a	a	DET
ejpam-6152	537	16	chaotic	chaotic	ADJ
ejpam-6152	537	17	system	system	NOUN
ejpam-6152	537	18	in	in	ADP
ejpam-6152	537	19	sense	sense	NOUN
ejpam-6152	537	20	of	of	ADP
ejpam-6152	537	21	caputo	caputo	PROPN
ejpam-6152	537	22	-	-	PUNCT
ejpam-6152	537	23	fabrizio	fabrizio	PROPN
ejpam-6152	537	24	operator	operator	NOUN
ejpam-6152	537	25	.	.	PUNCT
ejpam-6152	538	1	thermal	thermal	ADJ
ejpam-6152	538	2	science	science	NOUN
ejpam-6152	538	3	,	,	PUNCT
ejpam-6152	538	4	28(6b):5161–5168	28(6b):5161–5168	NUM
ejpam-6152	538	5	,	,	PUNCT
ejpam-6152	538	6	2024	2024	NUM
ejpam-6152	538	7	.	.	PUNCT
ejpam-6152	539	1	[	[	X
ejpam-6152	539	2	28	28	NUM
ejpam-6152	539	3	]	]	X
ejpam-6152	539	4	s.	s.	PROPN
ejpam-6152	539	5	saber	saber	PROPN
ejpam-6152	539	6	et	et	PROPN
ejpam-6152	539	7	al	al	PROPN
ejpam-6152	539	8	.	.	PUNCT
ejpam-6152	540	1	a	a	DET
ejpam-6152	540	2	mathematical	mathematical	ADJ
ejpam-6152	540	3	model	model	NOUN
ejpam-6152	540	4	of	of	ADP
ejpam-6152	540	5	glucose	glucose	NOUN
ejpam-6152	540	6	-	-	PUNCT
ejpam-6152	540	7	insulin	insulin	NOUN
ejpam-6152	540	8	interaction	interaction	NOUN
ejpam-6152	540	9	with	with	ADP
ejpam-6152	540	10	time	time	NOUN
ejpam-6152	540	11	delay	delay	NOUN
ejpam-6152	540	12	.	.	PUNCT
ejpam-6152	541	1	journal	journal	PROPN
ejpam-6152	541	2	of	of	ADP
ejpam-6152	541	3	applied	applied	ADJ
ejpam-6152	541	4	&	&	CCONJ
ejpam-6152	541	5	computational	computational	ADJ
ejpam-6152	541	6	mathematics	mathematic	NOUN
ejpam-6152	541	7	,	,	PUNCT
ejpam-6152	541	8	7(3	7(3	NUM
ejpam-6152	541	9	)	)	PUNCT
ejpam-6152	541	10	,	,	PUNCT
ejpam-6152	541	11	2018	2018	NUM
ejpam-6152	541	12	.	.	PUNCT
ejpam-6152	542	1	[	[	X
ejpam-6152	542	2	29	29	NUM
ejpam-6152	542	3	]	]	PUNCT
ejpam-6152	542	4	m.	m.	NOUN
ejpam-6152	542	5	h.	h.	PROPN
ejpam-6152	542	6	alshehri	alshehri	PROPN
ejpam-6152	542	7	et	et	PROPN
ejpam-6152	542	8	al	al	PROPN
ejpam-6152	542	9	.	.	PUNCT
ejpam-6152	543	1	a	a	DET
ejpam-6152	543	2	caputo	caputo	PROPN
ejpam-6152	543	3	(	(	PUNCT
ejpam-6152	543	4	discretization	discretization	NOUN
ejpam-6152	543	5	)	)	PUNCT
ejpam-6152	543	6	fractional	fractional	ADJ
ejpam-6152	543	7	-	-	PUNCT
ejpam-6152	543	8	order	order	NOUN
ejpam-6152	543	9	model	model	NOUN
ejpam-6152	543	10	of	of	ADP
ejpam-6152	543	11	glucoseinsulin	glucoseinsulin	PROPN
ejpam-6152	543	12	interaction	interaction	NOUN
ejpam-6152	543	13	:	:	PUNCT
ejpam-6152	543	14	numerical	numerical	ADJ
ejpam-6152	543	15	solution	solution	NOUN
ejpam-6152	543	16	and	and	CCONJ
ejpam-6152	543	17	comparisons	comparison	NOUN
ejpam-6152	543	18	with	with	ADP
ejpam-6152	543	19	experimental	experimental	ADJ
ejpam-6152	543	20	data	datum	NOUN
ejpam-6152	543	21	.	.	PUNCT
ejpam-6152	544	1	journal	journal	PROPN
ejpam-6152	544	2	of	of	ADP
ejpam-6152	544	3	taibah	taibah	PROPN
ejpam-6152	544	4	university	university	PROPN
ejpam-6152	544	5	for	for	ADP
ejpam-6152	544	6	science	science	NOUN
ejpam-6152	544	7	,	,	PUNCT
ejpam-6152	544	8	15:26–36	15:26–36	NUM
ejpam-6152	544	9	,	,	PUNCT
ejpam-6152	544	10	2021	2021	NUM
ejpam-6152	544	11	.	.	PUNCT
ejpam-6152	545	1	[	[	X
ejpam-6152	545	2	30	30	NUM
ejpam-6152	545	3	]	]	PUNCT
ejpam-6152	545	4	s.	s.	PROPN
ejpam-6152	545	5	saber	saber	PROPN
ejpam-6152	545	6	and	and	CCONJ
ejpam-6152	545	7	a.	a.	NOUN
ejpam-6152	545	8	alalyani	alalyani	PROPN
ejpam-6152	545	9	.	.	PUNCT
ejpam-6152	546	1	stability	stability	NOUN
ejpam-6152	546	2	analysis	analysis	NOUN
ejpam-6152	546	3	and	and	CCONJ
ejpam-6152	546	4	numerical	numerical	ADJ
ejpam-6152	546	5	simulations	simulation	NOUN
ejpam-6152	546	6	of	of	ADP
ejpam-6152	546	7	ivgtt	ivgtt	PROPN
ejpam-6152	546	8	glucoseinsulin	glucoseinsulin	PROPN
ejpam-6152	546	9	interaction	interaction	NOUN
ejpam-6152	546	10	models	model	NOUN
ejpam-6152	546	11	with	with	ADP
ejpam-6152	546	12	two	two	NUM
ejpam-6152	546	13	time	time	NOUN
ejpam-6152	546	14	delays	delay	NOUN
ejpam-6152	546	15	.	.	PUNCT
ejpam-6152	547	1	mathematical	mathematical	ADJ
ejpam-6152	547	2	modelling	modelling	NOUN
ejpam-6152	547	3	and	and	CCONJ
ejpam-6152	547	4	analysis	analysis	NOUN
ejpam-6152	547	5	,	,	PUNCT
ejpam-6152	547	6	27:383–407	27:383–407	PROPN
ejpam-6152	547	7	,	,	PUNCT
ejpam-6152	547	8	2022	2022	NUM
ejpam-6152	547	9	.	.	PUNCT
ejpam-6152	548	1	[	[	X
ejpam-6152	548	2	31	31	NUM
ejpam-6152	548	3	]	]	PUNCT
ejpam-6152	548	4	f.	f.	PROPN
ejpam-6152	548	5	b.	b.	PROPN
ejpam-6152	548	6	m.	m.	PROPN
ejpam-6152	548	7	belgacem	belgacem	PROPN
ejpam-6152	548	8	,	,	PUNCT
ejpam-6152	548	9	a.	a.	NOUN
ejpam-6152	548	10	a.	a.	NOUN
ejpam-6152	548	11	karaballi	karaballi	PROPN
ejpam-6152	548	12	,	,	PUNCT
ejpam-6152	548	13	and	and	CCONJ
ejpam-6152	548	14	s.	s.	PROPN
ejpam-6152	548	15	l.	l.	PROPN
ejpam-6152	548	16	kalla	kalla	PROPN
ejpam-6152	548	17	.	.	PUNCT
ejpam-6152	549	1	analytical	analytical	ADJ
ejpam-6152	549	2	investigations	investigation	NOUN
ejpam-6152	549	3	of	of	ADP
ejpam-6152	549	4	the	the	DET
ejpam-6152	549	5	sumudu	sumudu	NOUN
ejpam-6152	549	6	transform	transform	NOUN
ejpam-6152	549	7	and	and	CCONJ
ejpam-6152	549	8	applications	application	NOUN
ejpam-6152	549	9	to	to	ADP
ejpam-6152	549	10	integral	integral	ADJ
ejpam-6152	549	11	production	production	NOUN
ejpam-6152	549	12	equations	equation	NOUN
ejpam-6152	549	13	.	.	PUNCT
ejpam-6152	550	1	mathematical	mathematical	ADJ
ejpam-6152	550	2	problems	problem	NOUN
ejpam-6152	550	3	in	in	ADP
ejpam-6152	550	4	engineering	engineering	NOUN
ejpam-6152	550	5	,	,	PUNCT
ejpam-6152	550	6	3:103–118	3:103–118	NUM
ejpam-6152	550	7	,	,	PUNCT
ejpam-6152	550	8	2003	2003	NUM
ejpam-6152	550	9	.	.	PUNCT
ejpam-6152	551	1	[	[	X
ejpam-6152	551	2	32	32	NUM
ejpam-6152	551	3	]	]	PUNCT
ejpam-6152	551	4	d.	d.	PROPN
ejpam-6152	551	5	s.	s.	PROPN
ejpam-6152	551	6	bodkhe	bodkhe	VERB
ejpam-6152	551	7	and	and	CCONJ
ejpam-6152	551	8	s.	s.	PROPN
ejpam-6152	551	9	k.	k.	PROPN
ejpam-6152	551	10	panchal	panchal	PROPN
ejpam-6152	551	11	.	.	PUNCT
ejpam-6152	552	1	on	on	ADP
ejpam-6152	552	2	sumudu	sumudu	NOUN
ejpam-6152	552	3	transform	transform	NOUN
ejpam-6152	552	4	of	of	ADP
ejpam-6152	552	5	fractional	fractional	ADJ
ejpam-6152	552	6	derivatives	derivative	NOUN
ejpam-6152	552	7	and	and	CCONJ
ejpam-6152	552	8	its	its	PRON
ejpam-6152	552	9	applications	application	NOUN
ejpam-6152	552	10	to	to	ADP
ejpam-6152	552	11	fractional	fractional	ADJ
ejpam-6152	552	12	differential	differential	ADJ
ejpam-6152	552	13	equations	equation	NOUN
ejpam-6152	552	14	.	.	PUNCT
ejpam-6152	553	1	asian	asian	ADJ
ejpam-6152	553	2	journal	journal	PROPN
ejpam-6152	553	3	of	of	ADP
ejpam-6152	553	4	mathematics	mathematics	PROPN
ejpam-6152	553	5	and	and	CCONJ
ejpam-6152	553	6	computer	computer	NOUN
ejpam-6152	553	7	research	research	NOUN
ejpam-6152	553	8	,	,	PUNCT
ejpam-6152	553	9	11(1):69–77	11(1):69–77	NUM
ejpam-6152	553	10	,	,	PUNCT
ejpam-6152	553	11	2016	2016	NUM
ejpam-6152	553	12	.	.	PUNCT
ejpam-6152	554	1	[	[	X
ejpam-6152	554	2	33	33	NUM
ejpam-6152	554	3	]	]	PUNCT
ejpam-6152	554	4	g.	g.	PROPN
ejpam-6152	554	5	k.	k.	PROPN
ejpam-6152	554	6	watugala	watugala	PROPN
ejpam-6152	554	7	.	.	PUNCT
ejpam-6152	555	1	sumudu	sumudu	NOUN
ejpam-6152	555	2	transform	transform	NOUN
ejpam-6152	555	3	:	:	PUNCT
ejpam-6152	555	4	a	a	DET
ejpam-6152	555	5	new	new	ADJ
ejpam-6152	555	6	integral	integral	ADJ
ejpam-6152	555	7	transform	transform	NOUN
ejpam-6152	555	8	to	to	PART
ejpam-6152	555	9	solve	solve	VERB
ejpam-6152	555	10	differential	differential	ADJ
ejpam-6152	555	11	equations	equation	NOUN
ejpam-6152	555	12	and	and	CCONJ
ejpam-6152	555	13	control	control	NOUN
ejpam-6152	555	14	engineering	engineering	NOUN
ejpam-6152	555	15	problems	problem	NOUN
ejpam-6152	555	16	.	.	PUNCT
ejpam-6152	556	1	international	international	ADJ
ejpam-6152	556	2	journal	journal	PROPN
ejpam-6152	556	3	of	of	ADP
ejpam-6152	556	4	mathematical	mathematical	ADJ
ejpam-6152	556	5	education	education	NOUN
ejpam-6152	556	6	in	in	ADP
ejpam-6152	556	7	science	science	NOUN
ejpam-6152	556	8	and	and	CCONJ
ejpam-6152	556	9	technology	technology	NOUN
ejpam-6152	556	10	,	,	PUNCT
ejpam-6152	556	11	24(1):35–43	24(1):35–43	NUM
ejpam-6152	556	12	,	,	PUNCT
ejpam-6152	556	13	1993	1993	NUM
ejpam-6152	556	14	.	.	PUNCT
ejpam-6152	557	1	[	[	X
ejpam-6152	557	2	34	34	NUM
ejpam-6152	557	3	]	]	PUNCT
ejpam-6152	557	4	j.	j.	PROPN
ejpam-6152	557	5	k.	k.	PROPN
ejpam-6152	557	6	hunter	hunter	PROPN
ejpam-6152	557	7	and	and	CCONJ
ejpam-6152	557	8	b.	b.	PROPN
ejpam-6152	557	9	nachtergaele	nachtergaele	PROPN
ejpam-6152	557	10	.	.	PUNCT
ejpam-6152	558	1	applied	apply	VERB
ejpam-6152	558	2	analysis	analysis	NOUN
ejpam-6152	558	3	.	.	PUNCT
ejpam-6152	559	1	world	world	NOUN
ejpam-6152	559	2	scientific	scientific	PROPN
ejpam-6152	559	3	,	,	PUNCT
ejpam-6152	559	4	singapore	singapore	PROPN
ejpam-6152	559	5	,	,	PUNCT
ejpam-6152	559	6	2001	2001	NUM
ejpam-6152	559	7	.	.	PUNCT
ejpam-6152	560	1	[	[	X
ejpam-6152	560	2	35	35	NUM
ejpam-6152	560	3	]	]	PUNCT
ejpam-6152	560	4	m.	m.	NOUN
ejpam-6152	560	5	h.	h.	PROPN
ejpam-6152	560	6	alshehri	alshehri	PROPN
ejpam-6152	560	7	,	,	PUNCT
ejpam-6152	560	8	s.	s.	PROPN
ejpam-6152	560	9	saber	saber	PROPN
ejpam-6152	560	10	,	,	PUNCT
ejpam-6152	560	11	and	and	CCONJ
ejpam-6152	560	12	f.	f.	PROPN
ejpam-6152	560	13	z.	z.	PROPN
ejpam-6152	560	14	duraihem	duraihem	PROPN
ejpam-6152	560	15	.	.	PUNCT
ejpam-6152	561	1	dynamical	dynamical	ADJ
ejpam-6152	561	2	analysis	analysis	NOUN
ejpam-6152	561	3	of	of	ADP
ejpam-6152	561	4	fractional	fractional	ADJ
ejpam-6152	561	5	-	-	PUNCT
ejpam-6152	561	6	order	order	NOUN
ejpam-6152	561	7	of	of	ADP
ejpam-6152	561	8	ivgtt	ivgtt	ADJ
ejpam-6152	561	9	glucose	glucose	NOUN
ejpam-6152	561	10	–	–	PUNCT
ejpam-6152	561	11	insulin	insulin	NOUN
ejpam-6152	561	12	interaction	interaction	NOUN
ejpam-6152	561	13	.	.	PUNCT
ejpam-6152	562	1	international	international	ADJ
ejpam-6152	562	2	journal	journal	PROPN
ejpam-6152	562	3	of	of	ADP
ejpam-6152	562	4	nonlinear	nonlinear	PROPN
ejpam-6152	562	5	sciences	sciences	PROPN
ejpam-6152	562	6	and	and	CCONJ
ejpam-6152	562	7	numerical	numerical	PROPN
ejpam-6152	562	8	simulation	simulation	PROPN
ejpam-6152	562	9	,	,	PUNCT
ejpam-6152	562	10	24:1123–1140	24:1123–1140	NUM
ejpam-6152	562	11	,	,	PUNCT
ejpam-6152	562	12	2023	2023	NUM
ejpam-6152	562	13	.	.	PUNCT
ejpam-6152	563	1	[	[	X
ejpam-6152	563	2	36	36	NUM
ejpam-6152	563	3	]	]	PUNCT
ejpam-6152	563	4	k.	k.	PROPN
ejpam-6152	563	5	i.	i.	PROPN
ejpam-6152	563	6	a.	a.	PROPN
ejpam-6152	563	7	ahmed	ahmed	PROPN
ejpam-6152	563	8	et	et	PROPN
ejpam-6152	563	9	al	al	PROPN
ejpam-6152	563	10	.	.	PUNCT
ejpam-6152	564	1	different	different	ADJ
ejpam-6152	564	2	strategies	strategy	NOUN
ejpam-6152	564	3	for	for	ADP
ejpam-6152	564	4	diabetes	diabetes	NOUN
ejpam-6152	564	5	by	by	ADP
ejpam-6152	564	6	mathematical	mathematical	ADJ
ejpam-6152	564	7	modeling	modeling	NOUN
ejpam-6152	564	8	:	:	PUNCT
ejpam-6152	564	9	applications	application	NOUN
ejpam-6152	564	10	of	of	ADP
ejpam-6152	564	11	fractal	fractal	ADJ
ejpam-6152	564	12	-	-	PUNCT
ejpam-6152	564	13	fractional	fractional	ADJ
ejpam-6152	564	14	derivatives	derivative	NOUN
ejpam-6152	564	15	in	in	ADP
ejpam-6152	564	16	the	the	DET
ejpam-6152	564	17	sense	sense	NOUN
ejpam-6152	564	18	of	of	ADP
ejpam-6152	564	19	atangana	atangana	PROPN
ejpam-6152	564	20	-	-	PUNCT
ejpam-6152	564	21	baleanu	baleanu	PROPN
ejpam-6152	564	22	.	.	PUNCT
ejpam-6152	565	1	results	result	NOUN
ejpam-6152	565	2	in	in	ADP
ejpam-6152	565	3	physics	physics	NOUN
ejpam-6152	565	4	,	,	PUNCT
ejpam-6152	565	5	page	page	NOUN
ejpam-6152	565	6	106892	106892	NUM
ejpam-6152	565	7	,	,	PUNCT
ejpam-6152	565	8	2023	2023	NUM
ejpam-6152	565	9	.	.	PUNCT
ejpam-6152	566	1	[	[	X
ejpam-6152	566	2	37	37	NUM
ejpam-6152	566	3	]	]	PUNCT
ejpam-6152	566	4	k.	k.	PROPN
ejpam-6152	566	5	i.	i.	PROPN
ejpam-6152	566	6	a.	a.	PROPN
ejpam-6152	566	7	ahmed	ahmed	PROPN
ejpam-6152	566	8	et	et	PROPN
ejpam-6152	566	9	al	al	PROPN
ejpam-6152	566	10	.	.	PUNCT
ejpam-6152	567	1	different	different	ADJ
ejpam-6152	567	2	strategies	strategy	NOUN
ejpam-6152	567	3	for	for	ADP
ejpam-6152	567	4	diabetes	diabetes	NOUN
ejpam-6152	567	5	by	by	ADP
ejpam-6152	567	6	mathematical	mathematical	ADJ
ejpam-6152	567	7	modeling	modeling	NOUN
ejpam-6152	567	8	:	:	PUNCT
ejpam-6152	567	9	modified	modify	VERB
ejpam-6152	567	10	minimal	minimal	ADJ
ejpam-6152	567	11	model	model	NOUN
ejpam-6152	567	12	.	.	PUNCT
ejpam-6152	568	1	alexandria	alexandria	PROPN
ejpam-6152	568	2	engineering	engineering	PROPN
ejpam-6152	568	3	journal	journal	PROPN
ejpam-6152	568	4	,	,	PUNCT
ejpam-6152	568	5	80:74–87	80:74–87	NUM
ejpam-6152	568	6	,	,	PUNCT
ejpam-6152	568	7	2023	2023	NUM
ejpam-6152	568	8	.	.	PUNCT
ejpam-6152	569	1	[	[	X
ejpam-6152	569	2	38	38	NUM
ejpam-6152	569	3	]	]	PUNCT
ejpam-6152	569	4	k.	k.	PROPN
ejpam-6152	569	5	i.	i.	PROPN
ejpam-6152	569	6	a.	a.	PROPN
ejpam-6152	569	7	ahmed	ahmed	PROPN
ejpam-6152	569	8	,	,	PUNCT
ejpam-6152	569	9	s.	s.	PROPN
ejpam-6152	569	10	m.	m.	PROPN
ejpam-6152	569	11	mirgani	mirgani	PROPN
ejpam-6152	569	12	,	,	PUNCT
ejpam-6152	569	13	a.	a.	NOUN
ejpam-6152	569	14	seadawy	seadawy	PROPN
ejpam-6152	569	15	,	,	PUNCT
ejpam-6152	569	16	and	and	CCONJ
ejpam-6152	569	17	s.	s.	PROPN
ejpam-6152	569	18	saber	saber	PROPN
ejpam-6152	569	19	.	.	PUNCT
ejpam-6152	570	1	a	a	DET
ejpam-6152	570	2	comprehensive	comprehensive	ADJ
ejpam-6152	570	3	investigation	investigation	NOUN
ejpam-6152	570	4	of	of	ADP
ejpam-6152	570	5	fractional	fractional	ADJ
ejpam-6152	570	6	glucose	glucose	NOUN
ejpam-6152	570	7	-	-	PUNCT
ejpam-6152	570	8	insulin	insulin	NOUN
ejpam-6152	570	9	dynamics	dynamic	NOUN
ejpam-6152	570	10	:	:	PUNCT
ejpam-6152	570	11	existence	existence	NOUN
ejpam-6152	570	12	,	,	PUNCT
ejpam-6152	570	13	stability	stability	NOUN
ejpam-6152	570	14	,	,	PUNCT
ejpam-6152	570	15	and	and	CCONJ
ejpam-6152	570	16	numerical	numerical	ADJ
ejpam-6152	570	17	comparisons	comparison	NOUN
ejpam-6152	570	18	using	use	VERB
ejpam-6152	570	19	residual	residual	ADJ
ejpam-6152	570	20	power	power	NOUN
ejpam-6152	570	21	series	series	NOUN
ejpam-6152	570	22	and	and	CCONJ
ejpam-6152	570	23	generalized	generalized	ADJ
ejpam-6152	570	24	runge	runge	NOUN
ejpam-6152	570	25	-	-	PUNCT
ejpam-6152	570	26	kutta	kutta	NOUN
ejpam-6152	570	27	methods	method	NOUN
ejpam-6152	570	28	.	.	PUNCT
ejpam-6152	571	1	journal	journal	PROPN
ejpam-6152	571	2	of	of	ADP
ejpam-6152	571	3	taibah	taibah	PROPN
ejpam-6152	571	4	university	university	PROPN
ejpam-6152	571	5	for	for	ADP
ejpam-6152	571	6	science	science	NOUN
ejpam-6152	571	7	,	,	PUNCT
ejpam-6152	571	8	19(1	19(1	NUM
ejpam-6152	571	9	)	)	PUNCT
ejpam-6152	571	10	,	,	PUNCT
ejpam-6152	571	11	2025	2025	NUM
ejpam-6152	571	12	.	.	PUNCT
ejpam-6152	572	1	[	[	X
ejpam-6152	572	2	39	39	NUM
ejpam-6152	572	3	]	]	PUNCT
ejpam-6152	572	4	s.	s.	PROPN
ejpam-6152	572	5	saber	saber	PROPN
ejpam-6152	572	6	and	and	CCONJ
ejpam-6152	572	7	a.	a.	NOUN
ejpam-6152	572	8	m.	m.	PROPN
ejpam-6152	572	9	s.	s.	PROPN
ejpam-6152	572	10	mirgani	mirgani	PROPN
ejpam-6152	572	11	.	.	PUNCT
ejpam-6152	573	1	numerical	numerical	ADJ
ejpam-6152	573	2	analysis	analysis	NOUN
ejpam-6152	573	3	and	and	CCONJ
ejpam-6152	573	4	stability	stability	NOUN
ejpam-6152	573	5	of	of	ADP
ejpam-6152	573	6	a	a	DET
ejpam-6152	573	7	fractional	fractional	ADJ
ejpam-6152	573	8	glucoseinsulin	glucoseinsulin	PROPN
ejpam-6152	573	9	regulatory	regulatory	ADJ
ejpam-6152	573	10	system	system	NOUN
ejpam-6152	573	11	using	use	VERB
ejpam-6152	573	12	the	the	DET
ejpam-6152	573	13	laplace	laplace	NOUN
ejpam-6152	573	14	residual	residual	ADJ
ejpam-6152	573	15	power	power	NOUN
ejpam-6152	573	16	series	series	PROPN
ejpam-6152	573	17	method	method	NOUN
ejpam-6152	573	18	incorporating	incorporate	VERB
ejpam-6152	573	19	the	the	DET
ejpam-6152	573	20	atangana	atangana	PROPN
ejpam-6152	573	21	-	-	PUNCT
ejpam-6152	573	22	baleanu	baleanu	PROPN
ejpam-6152	573	23	derivative	derivative	NOUN
ejpam-6152	573	24	.	.	PUNCT
ejpam-6152	574	1	international	international	ADJ
ejpam-6152	574	2	journal	journal	NOUN
ejpam-6152	574	3	of	of	ADP
ejpam-6152	574	4	modeling	modeling	NOUN
ejpam-6152	574	5	,	,	PUNCT
ejpam-6152	574	6	simulation	simulation	NOUN
ejpam-6152	574	7	,	,	PUNCT
ejpam-6152	574	8	and	and	CCONJ
ejpam-6152	574	9	scientific	scientific	ADJ
ejpam-6152	574	10	computing	computing	NOUN
ejpam-6152	574	11	,	,	PUNCT
ejpam-6152	574	12	2025	2025	NUM
ejpam-6152	574	13	.	.	PUNCT
ejpam-6152	575	1	[	[	X
ejpam-6152	575	2	40	40	NUM
ejpam-6152	575	3	]	]	PUNCT
ejpam-6152	575	4	m.	m.	NOUN
ejpam-6152	575	5	alhazmi	alhazmi	PROPN
ejpam-6152	575	6	and	and	CCONJ
ejpam-6152	575	7	s.	s.	PROPN
ejpam-6152	575	8	saber	saber	PROPN
ejpam-6152	575	9	.	.	PUNCT
ejpam-6152	576	1	glucose	glucose	NOUN
ejpam-6152	576	2	-	-	PUNCT
ejpam-6152	576	3	insulin	insulin	NOUN
ejpam-6152	576	4	regulatory	regulatory	ADJ
ejpam-6152	576	5	system	system	NOUN
ejpam-6152	576	6	:	:	PUNCT
ejpam-6152	576	7	chaos	chaos	NOUN
ejpam-6152	576	8	control	control	NOUN
ejpam-6152	576	9	and	and	CCONJ
ejpam-6152	576	10	stability	stability	NOUN
ejpam-6152	576	11	analysis	analysis	NOUN
ejpam-6152	576	12	via	via	ADP
ejpam-6152	576	13	atangana	atangana	PROPN
ejpam-6152	576	14	–	–	PUNCT
ejpam-6152	576	15	baleanu	baleanu	ADJ
ejpam-6152	576	16	fractal	fractal	ADJ
ejpam-6152	576	17	-	-	PUNCT
ejpam-6152	576	18	fractional	fractional	ADJ
ejpam-6152	576	19	derivatives	derivative	NOUN
ejpam-6152	576	20	.	.	PUNCT
ejpam-6152	577	1	alexandria	alexandria	PROPN
ejpam-6152	577	2	ens	ens	PROPN
ejpam-6152	577	3	.	.	PROPN
ejpam-6152	577	4	saber	saber	PROPN
ejpam-6152	577	5	et	et	PROPN
ejpam-6152	577	6	al	al	PROPN
ejpam-6152	577	7	.	.	PUNCT
ejpam-6152	577	8	/	/	SYM
ejpam-6152	577	9	eur	eur	PROPN
ejpam-6152	577	10	.	.	PUNCT
ejpam-6152	578	1	j.	j.	PROPN
ejpam-6152	578	2	pure	pure	PROPN
ejpam-6152	578	3	appl	appl	PROPN
ejpam-6152	578	4	.	.	PROPN
ejpam-6152	578	5	math	math	PROPN
ejpam-6152	578	6	,	,	PUNCT
ejpam-6152	578	7	18	18	NUM
ejpam-6152	578	8	(	(	PUNCT
ejpam-6152	578	9	2	2	NUM
ejpam-6152	578	10	)	)	PUNCT
ejpam-6152	578	11	(	(	PUNCT
ejpam-6152	578	12	2025	2025	NUM
ejpam-6152	578	13	)	)	PUNCT
ejpam-6152	578	14	,	,	PUNCT
ejpam-6152	578	15	6152	6152	NUM
ejpam-6152	578	16	23	23	NUM
ejpam-6152	578	17	of	of	ADP
ejpam-6152	578	18	24	24	NUM
ejpam-6152	578	19	gineering	gineering	NOUN
ejpam-6152	578	20	journal	journal	NOUN
ejpam-6152	578	21	,	,	PUNCT
ejpam-6152	578	22	122:77–90	122:77–90	NUM
ejpam-6152	578	23	,	,	PUNCT
ejpam-6152	578	24	2025	2025	NUM
ejpam-6152	578	25	.	.	PUNCT
ejpam-6152	579	1	[	[	X
ejpam-6152	579	2	41	41	NUM
ejpam-6152	579	3	]	]	PUNCT
ejpam-6152	579	4	s.	s.	PROPN
ejpam-6152	579	5	saber	saber	PROPN
ejpam-6152	579	6	,	,	PUNCT
ejpam-6152	579	7	e.	e.	PROPN
ejpam-6152	579	8	solouma	solouma	PROPN
ejpam-6152	579	9	,	,	PUNCT
ejpam-6152	579	10	r.	r.	PROPN
ejpam-6152	579	11	a.	a.	PROPN
ejpam-6152	579	12	alharb	alharb	PROPN
ejpam-6152	579	13	,	,	PUNCT
ejpam-6152	579	14	and	and	CCONJ
ejpam-6152	579	15	a.	a.	NOUN
ejpam-6152	579	16	alalyani	alalyani	PROPN
ejpam-6152	579	17	.	.	PUNCT
ejpam-6152	580	1	chaos	chaos	NOUN
ejpam-6152	580	2	in	in	ADP
ejpam-6152	580	3	fractional	fractional	ADJ
ejpam-6152	580	4	-	-	PUNCT
ejpam-6152	580	5	order	order	NOUN
ejpam-6152	580	6	glucose	glucose	NOUN
ejpam-6152	580	7	–	–	PUNCT
ejpam-6152	580	8	insulin	insulin	NOUN
ejpam-6152	580	9	models	model	NOUN
ejpam-6152	580	10	with	with	ADP
ejpam-6152	580	11	variable	variable	ADJ
ejpam-6152	580	12	derivatives	derivative	NOUN
ejpam-6152	580	13	:	:	PUNCT
ejpam-6152	580	14	insights	insight	NOUN
ejpam-6152	580	15	from	from	ADP
ejpam-6152	580	16	the	the	DET
ejpam-6152	580	17	laplace	laplace	NOUN
ejpam-6152	580	18	–	–	PUNCT
ejpam-6152	580	19	adomian	adomian	NOUN
ejpam-6152	580	20	decomposition	decomposition	NOUN
ejpam-6152	580	21	method	method	NOUN
ejpam-6152	580	22	and	and	CCONJ
ejpam-6152	580	23	generalized	generalized	ADJ
ejpam-6152	580	24	euler	euler	NOUN
ejpam-6152	580	25	techniques	technique	NOUN
ejpam-6152	580	26	.	.	PUNCT
ejpam-6152	581	1	fractal	fractal	ADJ
ejpam-6152	581	2	and	and	CCONJ
ejpam-6152	581	3	fractional	fractional	ADJ
ejpam-6152	581	4	,	,	PUNCT
ejpam-6152	581	5	9:149	9:149	NUM
ejpam-6152	581	6	,	,	PUNCT
ejpam-6152	581	7	2025	2025	NUM
ejpam-6152	581	8	.	.	PUNCT
ejpam-6152	582	1	[	[	X
ejpam-6152	582	2	42	42	NUM
ejpam-6152	582	3	]	]	PUNCT
ejpam-6152	582	4	m.	m.	NOUN
ejpam-6152	582	5	althubyani	althubyani	PROPN
ejpam-6152	582	6	and	and	CCONJ
ejpam-6152	582	7	s.	s.	PROPN
ejpam-6152	582	8	saber	saber	PROPN
ejpam-6152	582	9	.	.	PUNCT
ejpam-6152	583	1	hyers	hyer	NOUN
ejpam-6152	583	2	–	–	PUNCT
ejpam-6152	583	3	ulam	ulam	PROPN
ejpam-6152	583	4	stability	stability	NOUN
ejpam-6152	583	5	of	of	ADP
ejpam-6152	583	6	fractal	fractal	ADJ
ejpam-6152	583	7	–	–	PUNCT
ejpam-6152	583	8	fractional	fractional	ADJ
ejpam-6152	583	9	computer	computer	NOUN
ejpam-6152	583	10	virus	virus	NOUN
ejpam-6152	583	11	models	model	NOUN
ejpam-6152	583	12	with	with	ADP
ejpam-6152	583	13	the	the	DET
ejpam-6152	583	14	atangana	atangana	PROPN
ejpam-6152	583	15	–	–	PUNCT
ejpam-6152	583	16	baleanu	baleanu	NOUN
ejpam-6152	583	17	operator	operator	NOUN
ejpam-6152	583	18	.	.	PUNCT
ejpam-6152	584	1	fractal	fractal	PROPN
ejpam-6152	584	2	and	and	CCONJ
ejpam-6152	584	3	fractional	fractional	ADJ
ejpam-6152	584	4	,	,	PUNCT
ejpam-6152	584	5	9:158	9:158	NUM
ejpam-6152	584	6	,	,	PUNCT
ejpam-6152	584	7	2025	2025	NUM
ejpam-6152	584	8	.	.	PUNCT
ejpam-6152	585	1	[	[	X
ejpam-6152	585	2	43	43	NUM
ejpam-6152	585	3	]	]	PUNCT
ejpam-6152	585	4	s.	s.	PROPN
ejpam-6152	585	5	m.	m.	PROPN
ejpam-6152	585	6	ulam	ulam	PROPN
ejpam-6152	585	7	.	.	PUNCT
ejpam-6152	586	1	a	a	DET
ejpam-6152	586	2	collection	collection	NOUN
ejpam-6152	586	3	of	of	ADP
ejpam-6152	586	4	mathematical	mathematical	ADJ
ejpam-6152	586	5	problems	problem	NOUN
ejpam-6152	586	6	.	.	PUNCT
ejpam-6152	587	1	interscience	interscience	NOUN
ejpam-6152	587	2	publishers	publisher	NOUN
ejpam-6152	587	3	,	,	PUNCT
ejpam-6152	587	4	new	new	PROPN
ejpam-6152	587	5	york	york	PROPN
ejpam-6152	587	6	,	,	PUNCT
ejpam-6152	587	7	1960	1960	NUM
ejpam-6152	587	8	.	.	PUNCT
ejpam-6152	588	1	[	[	X
ejpam-6152	588	2	44	44	NUM
ejpam-6152	588	3	]	]	X
ejpam-6152	588	4	stanislaw	stanislaw	NOUN
ejpam-6152	588	5	m.	m.	NOUN
ejpam-6152	588	6	ulam	ulam	PROPN
ejpam-6152	588	7	.	.	PUNCT
ejpam-6152	588	8	problems	problem	NOUN
ejpam-6152	588	9	in	in	ADP
ejpam-6152	588	10	modern	modern	ADJ
ejpam-6152	588	11	mathematics	mathematic	NOUN
ejpam-6152	588	12	.	.	PUNCT
ejpam-6152	589	1	courier	courier	NOUN
ejpam-6152	589	2	corporation	corporation	NOUN
ejpam-6152	589	3	,	,	PUNCT
ejpam-6152	589	4	2004	2004	NUM
ejpam-6152	589	5	.	.	PUNCT
ejpam-6152	590	1	[	[	X
ejpam-6152	590	2	45	45	NUM
ejpam-6152	590	3	]	]	X
ejpam-6152	590	4	h.	h.	PROPN
ejpam-6152	590	5	khan	khan	PROPN
ejpam-6152	590	6	,	,	PUNCT
ejpam-6152	590	7	j.	j.	PROPN
ejpam-6152	590	8	alzabut	alzabut	PROPN
ejpam-6152	590	9	,	,	PUNCT
ejpam-6152	590	10	a.	a.	NOUN
ejpam-6152	590	11	shah	shah	PROPN
ejpam-6152	590	12	,	,	PUNCT
ejpam-6152	590	13	s.	s.	PROPN
ejpam-6152	590	14	etemad	etemad	PROPN
ejpam-6152	590	15	,	,	PUNCT
ejpam-6152	590	16	s.	s.	PROPN
ejpam-6152	590	17	rezapour	rezapour	PROPN
ejpam-6152	590	18	,	,	PUNCT
ejpam-6152	590	19	and	and	CCONJ
ejpam-6152	590	20	c.	c.	PROPN
ejpam-6152	590	21	park	park	PROPN
ejpam-6152	590	22	.	.	PUNCT
ejpam-6152	591	1	a	a	DET
ejpam-6152	591	2	study	study	NOUN
ejpam-6152	591	3	on	on	ADP
ejpam-6152	591	4	the	the	DET
ejpam-6152	591	5	fractal	fractal	ADJ
ejpam-6152	591	6	-	-	PUNCT
ejpam-6152	591	7	fractional	fractional	ADJ
ejpam-6152	591	8	tobacco	tobacco	NOUN
ejpam-6152	591	9	smoking	smoking	NOUN
ejpam-6152	591	10	model	model	NOUN
ejpam-6152	591	11	.	.	PUNCT
ejpam-6152	592	1	aims	aim	VERB
ejpam-6152	592	2	mathematics	mathematic	NOUN
ejpam-6152	592	3	,	,	PUNCT
ejpam-6152	592	4	7(8):13887–13909	7(8):13887–13909	NUM
ejpam-6152	592	5	,	,	PUNCT
ejpam-6152	592	6	2022	2022	NUM
ejpam-6152	592	7	.	.	PUNCT
ejpam-6152	593	1	[	[	X
ejpam-6152	593	2	46	46	NUM
ejpam-6152	593	3	]	]	PUNCT
ejpam-6152	593	4	m.	m.	PROPN
ejpam-6152	593	5	caputo	caputo	PROPN
ejpam-6152	593	6	and	and	CCONJ
ejpam-6152	593	7	m.	m.	PROPN
ejpam-6152	593	8	fabrizio	fabrizio	PROPN
ejpam-6152	593	9	.	.	PUNCT
ejpam-6152	594	1	a	a	DET
ejpam-6152	594	2	new	new	ADJ
ejpam-6152	594	3	definition	definition	NOUN
ejpam-6152	594	4	of	of	ADP
ejpam-6152	594	5	fractional	fractional	ADJ
ejpam-6152	594	6	derivative	derivative	NOUN
ejpam-6152	594	7	without	without	ADP
ejpam-6152	594	8	singular	singular	ADJ
ejpam-6152	594	9	kernel	kernel	PROPN
ejpam-6152	594	10	.	.	PUNCT
ejpam-6152	595	1	progress	progress	NOUN
ejpam-6152	595	2	in	in	ADP
ejpam-6152	595	3	fractional	fractional	ADJ
ejpam-6152	595	4	differentiation	differentiation	NOUN
ejpam-6152	595	5	and	and	CCONJ
ejpam-6152	595	6	applications	application	NOUN
ejpam-6152	595	7	,	,	PUNCT
ejpam-6152	595	8	1:73–85	1:73–85	NUM
ejpam-6152	595	9	,	,	PUNCT
ejpam-6152	595	10	2015	2015	NUM
ejpam-6152	595	11	.	.	PUNCT
ejpam-6152	596	1	[	[	X
ejpam-6152	596	2	47	47	NUM
ejpam-6152	596	3	]	]	PUNCT
ejpam-6152	596	4	m.	m.	PROPN
ejpam-6152	596	5	caputo	caputo	PROPN
ejpam-6152	596	6	and	and	CCONJ
ejpam-6152	596	7	m.	m.	PROPN
ejpam-6152	596	8	fabrizio	fabrizio	PROPN
ejpam-6152	596	9	.	.	PUNCT
ejpam-6152	597	1	on	on	ADP
ejpam-6152	597	2	the	the	DET
ejpam-6152	597	3	notion	notion	NOUN
ejpam-6152	597	4	of	of	ADP
ejpam-6152	597	5	fractional	fractional	ADJ
ejpam-6152	597	6	derivative	derivative	ADJ
ejpam-6152	597	7	and	and	CCONJ
ejpam-6152	597	8	applications	application	NOUN
ejpam-6152	597	9	to	to	ADP
ejpam-6152	597	10	the	the	DET
ejpam-6152	597	11	hysteresis	hysteresis	NOUN
ejpam-6152	597	12	phenomena	phenomenon	NOUN
ejpam-6152	597	13	.	.	PUNCT
ejpam-6152	598	1	meccanica	meccanica	PROPN
ejpam-6152	598	2	,	,	PUNCT
ejpam-6152	598	3	52(13):3043–3052	52(13):3043–3052	PROPN
ejpam-6152	598	4	,	,	PUNCT
ejpam-6152	598	5	2017	2017	NUM
ejpam-6152	598	6	.	.	PUNCT
ejpam-6152	599	1	[	[	X
ejpam-6152	599	2	48	48	NUM
ejpam-6152	599	3	]	]	PUNCT
ejpam-6152	599	4	k.	k.	PROPN
ejpam-6152	599	5	shah	shah	PROPN
ejpam-6152	599	6	,	,	PUNCT
ejpam-6152	599	7	l.	l.	PROPN
ejpam-6152	599	8	ahmad	ahmad	PROPN
ejpam-6152	599	9	,	,	PUNCT
ejpam-6152	599	10	s.	s.	PROPN
ejpam-6152	599	11	m.	m.	PROPN
ejpam-6152	599	12	rassias	rassias	PROPN
ejpam-6152	599	13	,	,	PUNCT
ejpam-6152	599	14	j.	j.	PROPN
ejpam-6152	599	15	m.	m.	PROPN
ejpam-6152	599	16	li	li	PROPN
ejpam-6152	599	17	,	,	PUNCT
ejpam-6152	599	18	and	and	CCONJ
ejpam-6152	599	19	y.	y.	PROPN
ejpam-6152	599	20	y.	y.	PROPN
ejpam-6152	599	21	monotone	monotone	ADJ
ejpam-6152	599	22	iterative	iterative	NOUN
ejpam-6152	599	23	techniques	technique	NOUN
ejpam-6152	599	24	together	together	ADV
ejpam-6152	599	25	with	with	ADP
ejpam-6152	599	26	hyers	hyer	NOUN
ejpam-6152	599	27	-	-	PUNCT
ejpam-6152	599	28	ulam	ulam	ADJ
ejpam-6152	599	29	-	-	PUNCT
ejpam-6152	599	30	rassias	rassias	PROPN
ejpam-6152	599	31	stability	stability	NOUN
ejpam-6152	599	32	.	.	PUNCT
ejpam-6152	600	1	mathematical	mathematical	ADJ
ejpam-6152	600	2	methods	method	NOUN
ejpam-6152	600	3	in	in	ADP
ejpam-6152	600	4	the	the	DET
ejpam-6152	600	5	applied	apply	VERB
ejpam-6152	600	6	sciences	science	NOUN
ejpam-6152	600	7	,	,	PUNCT
ejpam-6152	600	8	44:8197–8214	44:8197–8214	NUM
ejpam-6152	600	9	,	,	PUNCT
ejpam-6152	600	10	2021	2021	NUM
ejpam-6152	600	11	.	.	PUNCT
ejpam-6152	601	1	[	[	X
ejpam-6152	601	2	49	49	NUM
ejpam-6152	601	3	]	]	PUNCT
ejpam-6152	601	4	s.	s.	PROPN
ejpam-6152	601	5	moonsuwan	moonsuwan	PROPN
ejpam-6152	601	6	,	,	PUNCT
ejpam-6152	601	7	g.	g.	PROPN
ejpam-6152	601	8	rahmat	rahmat	PROPN
ejpam-6152	601	9	,	,	PUNCT
ejpam-6152	601	10	a.	a.	PROPN
ejpam-6152	601	11	ullah	ullah	PROPN
ejpam-6152	601	12	,	,	PUNCT
ejpam-6152	601	13	m.	m.	PROPN
ejpam-6152	601	14	y.	y.	PROPN
ejpam-6152	601	15	khan	khan	PROPN
ejpam-6152	601	16	,	,	PUNCT
ejpam-6152	601	17	s.	s.	PROPN
ejpam-6152	601	18	kamran	kamran	PROPN
ejpam-6152	601	19	,	,	PUNCT
ejpam-6152	601	20	and	and	CCONJ
ejpam-6152	601	21	k.	k.	PROPN
ejpam-6152	601	22	shah	shah	PROPN
ejpam-6152	601	23	.	.	PUNCT
ejpam-6152	602	1	hyers	hyer	NOUN
ejpam-6152	602	2	–	–	PUNCT
ejpam-6152	602	3	ulam	ulam	X
ejpam-6152	602	4	stability	stability	NOUN
ejpam-6152	602	5	,	,	PUNCT
ejpam-6152	602	6	exponential	exponential	ADJ
ejpam-6152	602	7	stability	stability	NOUN
ejpam-6152	602	8	,	,	PUNCT
ejpam-6152	602	9	and	and	CCONJ
ejpam-6152	602	10	relative	relative	ADJ
ejpam-6152	602	11	controllability	controllability	NOUN
ejpam-6152	602	12	of	of	ADP
ejpam-6152	602	13	non	non	ADJ
ejpam-6152	602	14	-	-	ADJ
ejpam-6152	602	15	singular	singular	ADJ
ejpam-6152	602	16	delay	delay	NOUN
ejpam-6152	602	17	difference	difference	NOUN
ejpam-6152	602	18	equations	equation	NOUN
ejpam-6152	602	19	.	.	PUNCT
ejpam-6152	603	1	complexity	complexity	NOUN
ejpam-6152	603	2	,	,	PUNCT
ejpam-6152	603	3	page	page	NOUN
ejpam-6152	603	4	8911621	8911621	NUM
ejpam-6152	603	5	,	,	PUNCT
ejpam-6152	603	6	2022	2022	NUM
ejpam-6152	603	7	.	.	PUNCT
ejpam-6152	604	1	19	19	NUM
ejpam-6152	604	2	pages	page	NOUN
ejpam-6152	604	3	.	.	PUNCT
ejpam-6152	605	1	[	[	X
ejpam-6152	605	2	50	50	NUM
ejpam-6152	605	3	]	]	X
ejpam-6152	605	4	shahid	shahid	PROPN
ejpam-6152	605	5	khan	khan	PROPN
ejpam-6152	605	6	et	et	PROPN
ejpam-6152	605	7	al	al	PROPN
ejpam-6152	605	8	.	.	PROPN
ejpam-6152	605	9	solvability	solvability	PROPN
ejpam-6152	605	10	and	and	CCONJ
ejpam-6152	605	11	ulam	ulam	NOUN
ejpam-6152	605	12	-	-	PUNCT
ejpam-6152	605	13	hyers	hyer	NOUN
ejpam-6152	605	14	stability	stability	NOUN
ejpam-6152	605	15	analysis	analysis	NOUN
ejpam-6152	605	16	for	for	ADP
ejpam-6152	605	17	nonlinear	nonlinear	ADJ
ejpam-6152	605	18	piecewise	piecewise	NOUN
ejpam-6152	605	19	fractional	fractional	ADJ
ejpam-6152	605	20	cancer	cancer	NOUN
ejpam-6152	605	21	dynamic	dynamic	ADJ
ejpam-6152	605	22	systems	system	NOUN
ejpam-6152	605	23	.	.	PUNCT
ejpam-6152	606	1	physica	physica	PROPN
ejpam-6152	606	2	scripta	scripta	PROPN
ejpam-6152	606	3	,	,	PUNCT
ejpam-6152	606	4	99:025225	99:025225	NUM
ejpam-6152	606	5	,	,	PUNCT
ejpam-6152	606	6	2024	2024	NUM
ejpam-6152	606	7	.	.	PUNCT
ejpam-6152	607	1	[	[	X
ejpam-6152	607	2	51	51	NUM
ejpam-6152	607	3	]	]	PUNCT
ejpam-6152	607	4	m.	m.	NOUN
ejpam-6152	607	5	marin	marin	NOUN
ejpam-6152	607	6	and	and	CCONJ
ejpam-6152	607	7	c.	c.	PROPN
ejpam-6152	607	8	marinescu	marinescu	PROPN
ejpam-6152	607	9	.	.	PUNCT
ejpam-6152	608	1	thermoelasticity	thermoelasticity	NOUN
ejpam-6152	608	2	of	of	ADP
ejpam-6152	608	3	initially	initially	ADV
ejpam-6152	608	4	stressed	stress	VERB
ejpam-6152	608	5	bodies	body	NOUN
ejpam-6152	608	6	,	,	PUNCT
ejpam-6152	608	7	asymptotic	asymptotic	ADJ
ejpam-6152	608	8	equipartition	equipartition	NOUN
ejpam-6152	608	9	of	of	ADP
ejpam-6152	608	10	energies	energy	NOUN
ejpam-6152	608	11	.	.	PUNCT
ejpam-6152	609	1	international	international	ADJ
ejpam-6152	609	2	journal	journal	NOUN
ejpam-6152	609	3	of	of	ADP
ejpam-6152	609	4	engineering	engineering	NOUN
ejpam-6152	609	5	science	science	NOUN
ejpam-6152	609	6	,	,	PUNCT
ejpam-6152	609	7	36(1):73–86	36(1):73–86	NUM
ejpam-6152	609	8	,	,	PUNCT
ejpam-6152	609	9	1998	1998	NUM
ejpam-6152	609	10	.	.	PUNCT
ejpam-6152	610	1	[	[	X
ejpam-6152	610	2	52	52	NUM
ejpam-6152	610	3	]	]	PUNCT
ejpam-6152	610	4	m.	m.	NOUN
ejpam-6152	610	5	marin	marin	NOUN
ejpam-6152	610	6	and	and	CCONJ
ejpam-6152	610	7	m.	m.	NOUN
ejpam-6152	610	8	lupu	lupu	PROPN
ejpam-6152	610	9	.	.	PUNCT
ejpam-6152	611	1	on	on	ADP
ejpam-6152	611	2	harmonic	harmonic	ADJ
ejpam-6152	611	3	vibrations	vibration	NOUN
ejpam-6152	611	4	in	in	ADP
ejpam-6152	611	5	thermoelasticity	thermoelasticity	NOUN
ejpam-6152	611	6	of	of	ADP
ejpam-6152	611	7	micropolar	micropolar	ADJ
ejpam-6152	611	8	bodies	body	NOUN
ejpam-6152	611	9	.	.	PUNCT
ejpam-6152	612	1	journal	journal	NOUN
ejpam-6152	612	2	of	of	ADP
ejpam-6152	612	3	vibration	vibration	NOUN
ejpam-6152	612	4	and	and	CCONJ
ejpam-6152	612	5	control	control	NOUN
ejpam-6152	612	6	,	,	PUNCT
ejpam-6152	612	7	4(5):507–518	4(5):507–518	NOUN
ejpam-6152	612	8	,	,	PUNCT
ejpam-6152	612	9	1998	1998	NUM
ejpam-6152	612	10	.	.	PUNCT
ejpam-6152	613	1	[	[	X
ejpam-6152	613	2	53	53	NUM
ejpam-6152	613	3	]	]	PUNCT
ejpam-6152	613	4	marin	marin	NOUN
ejpam-6152	613	5	marin	marin	NOUN
ejpam-6152	613	6	.	.	PUNCT
ejpam-6152	614	1	lagrange	lagrange	NOUN
ejpam-6152	614	2	identity	identity	NOUN
ejpam-6152	614	3	method	method	NOUN
ejpam-6152	614	4	for	for	ADP
ejpam-6152	614	5	microstretch	microstretch	VERB
ejpam-6152	614	6	thermoelastic	thermoelastic	ADJ
ejpam-6152	614	7	materials	material	NOUN
ejpam-6152	614	8	.	.	PUNCT
ejpam-6152	615	1	journal	journal	PROPN
ejpam-6152	615	2	of	of	ADP
ejpam-6152	615	3	mathematical	mathematical	ADJ
ejpam-6152	615	4	analysis	analysis	NOUN
ejpam-6152	615	5	and	and	CCONJ
ejpam-6152	615	6	applications	application	NOUN
ejpam-6152	615	7	,	,	PUNCT
ejpam-6152	615	8	363(1):275–286	363(1):275–286	NUM
ejpam-6152	615	9	,	,	PUNCT
ejpam-6152	615	10	2010	2010	NUM
ejpam-6152	615	11	.	.	PUNCT
ejpam-6152	616	1	[	[	X
ejpam-6152	616	2	54	54	NUM
ejpam-6152	616	3	]	]	X
ejpam-6152	616	4	h.	h.	PROPN
ejpam-6152	616	5	khan	khan	PROPN
ejpam-6152	616	6	,	,	PUNCT
ejpam-6152	616	7	j.	j.	PROPN
ejpam-6152	616	8	alzabut	alzabut	PROPN
ejpam-6152	616	9	,	,	PUNCT
ejpam-6152	616	10	o.	o.	PROPN
ejpam-6152	616	11	tunç	tunç	NOUN
ejpam-6152	616	12	,	,	PUNCT
ejpam-6152	616	13	and	and	CCONJ
ejpam-6152	616	14	m.	m.	PROPN
ejpam-6152	616	15	k.	k.	PROPN
ejpam-6152	616	16	a.	a.	PROPN
ejpam-6152	616	17	kaabar	kaabar	PROPN
ejpam-6152	616	18	.	.	PUNCT
ejpam-6152	617	1	a	a	DET
ejpam-6152	617	2	fractal	fractal	ADJ
ejpam-6152	617	3	–	–	PUNCT
ejpam-6152	617	4	fractional	fractional	ADJ
ejpam-6152	617	5	covid19	covid19	NOUN
ejpam-6152	617	6	model	model	NOUN
ejpam-6152	617	7	with	with	ADP
ejpam-6152	617	8	a	a	DET
ejpam-6152	617	9	negative	negative	ADJ
ejpam-6152	617	10	impact	impact	NOUN
ejpam-6152	617	11	of	of	ADP
ejpam-6152	617	12	quarantine	quarantine	NOUN
ejpam-6152	617	13	on	on	ADP
ejpam-6152	617	14	the	the	DET
ejpam-6152	617	15	diabetic	diabetic	ADJ
ejpam-6152	617	16	patients	patient	NOUN
ejpam-6152	617	17	.	.	PUNCT
ejpam-6152	618	1	results	result	NOUN
ejpam-6152	618	2	in	in	ADP
ejpam-6152	618	3	control	control	NOUN
ejpam-6152	618	4	and	and	CCONJ
ejpam-6152	618	5	optimization	optimization	NOUN
ejpam-6152	618	6	,	,	PUNCT
ejpam-6152	618	7	10:100199	10:100199	NUM
ejpam-6152	618	8	,	,	PUNCT
ejpam-6152	618	9	2023	2023	NUM
ejpam-6152	618	10	.	.	PUNCT
ejpam-6152	619	1	[	[	X
ejpam-6152	619	2	55	55	NUM
ejpam-6152	619	3	]	]	PUNCT
ejpam-6152	619	4	l.	l.	PROPN
ejpam-6152	619	5	sadek	sadek	PROPN
ejpam-6152	619	6	,	,	PUNCT
ejpam-6152	619	7	d.	d.	PROPN
ejpam-6152	619	8	baleanu	baleanu	PROPN
ejpam-6152	619	9	,	,	PUNCT
ejpam-6152	619	10	m.	m.	NOUN
ejpam-6152	619	11	s.	s.	PROPN
ejpam-6152	619	12	abdo	abdo	PROPN
ejpam-6152	619	13	,	,	PUNCT
ejpam-6152	619	14	and	and	CCONJ
ejpam-6152	619	15	w.	w.	PROPN
ejpam-6152	619	16	shatanawi	shatanawi	PROPN
ejpam-6152	619	17	.	.	PUNCT
ejpam-6152	620	1	introducing	introduce	VERB
ejpam-6152	620	2	novel	novel	ADJ
ejpam-6152	620	3	θ	θ	ADJ
ejpam-6152	620	4	-	-	PUNCT
ejpam-6152	620	5	fractional	fractional	ADJ
ejpam-6152	620	6	operators	operator	NOUN
ejpam-6152	620	7	:	:	PUNCT
ejpam-6152	620	8	advances	advance	NOUN
ejpam-6152	620	9	in	in	ADP
ejpam-6152	620	10	fractional	fractional	ADJ
ejpam-6152	620	11	calculus	calculus	NOUN
ejpam-6152	620	12	.	.	PUNCT
ejpam-6152	621	1	journal	journal	PROPN
ejpam-6152	621	2	of	of	ADP
ejpam-6152	621	3	king	king	PROPN
ejpam-6152	621	4	saud	saud	PROPN
ejpam-6152	621	5	university	university	PROPN
ejpam-6152	621	6	-	-	PUNCT
ejpam-6152	621	7	science	science	NOUN
ejpam-6152	621	8	,	,	PUNCT
ejpam-6152	621	9	36(9):103352	36(9):103352	NUM
ejpam-6152	621	10	,	,	PUNCT
ejpam-6152	621	11	2024	2024	NUM
ejpam-6152	621	12	.	.	PUNCT
ejpam-6152	622	1	[	[	X
ejpam-6152	622	2	56	56	NUM
ejpam-6152	622	3	]	]	X
ejpam-6152	622	4	l.	l.	PROPN
ejpam-6152	622	5	sadek	sadek	PROPN
ejpam-6152	622	6	.	.	PUNCT
ejpam-6152	623	1	a	a	DET
ejpam-6152	623	2	cotangent	cotangent	NOUN
ejpam-6152	623	3	fractional	fractional	ADJ
ejpam-6152	623	4	derivative	derivative	NOUN
ejpam-6152	623	5	with	with	ADP
ejpam-6152	623	6	the	the	DET
ejpam-6152	623	7	application	application	NOUN
ejpam-6152	623	8	.	.	PUNCT
ejpam-6152	624	1	fractal	fractal	ADJ
ejpam-6152	624	2	and	and	CCONJ
ejpam-6152	624	3	fractional	fractional	ADJ
ejpam-6152	624	4	,	,	PUNCT
ejpam-6152	624	5	7(6):444	7(6):444	NUM
ejpam-6152	624	6	,	,	PUNCT
ejpam-6152	624	7	2023	2023	NUM
ejpam-6152	624	8	.	.	PUNCT
ejpam-6152	625	1	[	[	X
ejpam-6152	625	2	57	57	NUM
ejpam-6152	625	3	]	]	PUNCT
ejpam-6152	625	4	l.	l.	PROPN
ejpam-6152	625	5	sadek	sadek	PROPN
ejpam-6152	625	6	and	and	CCONJ
ejpam-6152	625	7	t.	t.	PROPN
ejpam-6152	625	8	a.	a.	PROPN
ejpam-6152	625	9	lazar	lazar	PROPN
ejpam-6152	625	10	.	.	PUNCT
ejpam-6152	626	1	on	on	ADP
ejpam-6152	626	2	hilfer	hilfer	NOUN
ejpam-6152	626	3	cotangent	cotangent	NOUN
ejpam-6152	626	4	fractional	fractional	ADJ
ejpam-6152	626	5	derivative	derivative	NOUN
ejpam-6152	626	6	and	and	CCONJ
ejpam-6152	626	7	a	a	DET
ejpam-6152	626	8	particular	particular	ADJ
ejpam-6152	626	9	class	class	NOUN
ejpam-6152	626	10	of	of	ADP
ejpam-6152	626	11	fractional	fractional	ADJ
ejpam-6152	626	12	problems	problem	NOUN
ejpam-6152	626	13	.	.	PUNCT
ejpam-6152	627	1	aims	aim	VERB
ejpam-6152	627	2	mathematics	mathematic	NOUN
ejpam-6152	627	3	,	,	PUNCT
ejpam-6152	627	4	8(12):28334–28352	8(12):28334–28352	NUM
ejpam-6152	627	5	,	,	PUNCT
ejpam-6152	627	6	2023	2023	NUM
ejpam-6152	627	7	.	.	PUNCT
ejpam-6152	628	1	[	[	X
ejpam-6152	628	2	58	58	NUM
ejpam-6152	628	3	]	]	PUNCT
ejpam-6152	628	4	l.	l.	PROPN
ejpam-6152	628	5	sadek	sadek	PROPN
ejpam-6152	628	6	,	,	PUNCT
ejpam-6152	628	7	o.	o.	PROPN
ejpam-6152	628	8	sadek	sadek	PROPN
ejpam-6152	628	9	,	,	PUNCT
ejpam-6152	628	10	h.	h.	PROPN
ejpam-6152	628	11	t.	t.	PROPN
ejpam-6152	628	12	alaoui	alaoui	PROPN
ejpam-6152	628	13	,	,	PUNCT
ejpam-6152	628	14	m.	m.	NOUN
ejpam-6152	628	15	s.	s.	PROPN
ejpam-6152	628	16	abdo	abdo	PROPN
ejpam-6152	628	17	,	,	PUNCT
ejpam-6152	628	18	k.	k.	PROPN
ejpam-6152	628	19	shah	shah	PROPN
ejpam-6152	628	20	,	,	PUNCT
ejpam-6152	628	21	and	and	CCONJ
ejpam-6152	628	22	t.	t.	PROPN
ejpam-6152	628	23	abdeljawad	abdeljawad	NOUN
ejpam-6152	628	24	.	.	PUNCT
ejpam-6152	629	1	fracs	fracs	PROPN
ejpam-6152	629	2	.	.	PUNCT
ejpam-6152	630	1	saber	saber	PROPN
ejpam-6152	630	2	et	et	PROPN
ejpam-6152	630	3	al	al	PROPN
ejpam-6152	630	4	.	.	PUNCT
ejpam-6152	630	5	/	/	SYM
ejpam-6152	630	6	eur	eur	PROPN
ejpam-6152	630	7	.	.	PUNCT
ejpam-6152	631	1	j.	j.	PROPN
ejpam-6152	631	2	pure	pure	PROPN
ejpam-6152	631	3	appl	appl	PROPN
ejpam-6152	631	4	.	.	PROPN
ejpam-6152	631	5	math	math	PROPN
ejpam-6152	631	6	,	,	PUNCT
ejpam-6152	631	7	18	18	NUM
ejpam-6152	631	8	(	(	PUNCT
ejpam-6152	631	9	2	2	NUM
ejpam-6152	631	10	)	)	PUNCT
ejpam-6152	631	11	(	(	PUNCT
ejpam-6152	631	12	2025	2025	NUM
ejpam-6152	631	13	)	)	PUNCT
ejpam-6152	631	14	,	,	PUNCT
ejpam-6152	631	15	6152	6152	NUM
ejpam-6152	631	16	24	24	NUM
ejpam-6152	631	17	of	of	ADP
ejpam-6152	631	18	24	24	NUM
ejpam-6152	631	19	tional	tional	ADJ
ejpam-6152	631	20	order	order	NOUN
ejpam-6152	631	21	modeling	modeling	NOUN
ejpam-6152	631	22	of	of	ADP
ejpam-6152	631	23	predicting	predict	VERB
ejpam-6152	631	24	covid-19	covid-19	PROPN
ejpam-6152	631	25	with	with	ADP
ejpam-6152	631	26	isolation	isolation	NOUN
ejpam-6152	631	27	and	and	CCONJ
ejpam-6152	631	28	vaccination	vaccination	NOUN
ejpam-6152	631	29	strategies	strategy	NOUN
ejpam-6152	631	30	in	in	ADP
ejpam-6152	631	31	morocco	morocco	PROPN
ejpam-6152	631	32	.	.	PUNCT
ejpam-6152	632	1	cmes	cmes	PROPN
ejpam-6152	632	2	-	-	PUNCT
ejpam-6152	632	3	computer	computer	NOUN
ejpam-6152	632	4	modeling	modeling	NOUN
ejpam-6152	632	5	in	in	ADP
ejpam-6152	632	6	engineering	engineering	NOUN
ejpam-6152	632	7	&	&	CCONJ
ejpam-6152	632	8	sciences	sciences	PROPN
ejpam-6152	632	9	,	,	PUNCT
ejpam-6152	632	10	136:1931–1950	136:1931–1950	NUM
ejpam-6152	632	11	,	,	PUNCT
ejpam-6152	632	12	2023	2023	NUM
ejpam-6152	632	13	.	.	PUNCT
ejpam-6152	633	1	[	[	X
ejpam-6152	633	2	59	59	NUM
ejpam-6152	633	3	]	]	X
ejpam-6152	633	4	o.	o.	PROPN
ejpam-6152	633	5	sadek	sadek	PROPN
ejpam-6152	633	6	,	,	PUNCT
ejpam-6152	633	7	l.	l.	PROPN
ejpam-6152	633	8	sadek	sadek	PROPN
ejpam-6152	633	9	,	,	PUNCT
ejpam-6152	633	10	s.	s.	PROPN
ejpam-6152	633	11	touhtouh	touhtouh	PROPN
ejpam-6152	633	12	,	,	PUNCT
ejpam-6152	633	13	and	and	CCONJ
ejpam-6152	633	14	a.	a.	NOUN
ejpam-6152	633	15	hajjaji	hajjaji	PROPN
ejpam-6152	633	16	.	.	PUNCT
ejpam-6152	634	1	the	the	DET
ejpam-6152	634	2	mathematical	mathematical	ADJ
ejpam-6152	634	3	fractional	fractional	ADJ
ejpam-6152	634	4	modeling	modeling	NOUN
ejpam-6152	634	5	of	of	ADP
ejpam-6152	634	6	tio-2	tio-2	NOUN
ejpam-6152	634	7	nanopowder	nanopowd	ADJ
ejpam-6152	634	8	synthesis	synthesis	NOUN
ejpam-6152	634	9	by	by	ADP
ejpam-6152	634	10	sol	sol	NOUN
ejpam-6152	634	11	–	–	PUNCT
ejpam-6152	634	12	gel	gel	NOUN
ejpam-6152	634	13	method	method	NOUN
ejpam-6152	634	14	at	at	ADP
ejpam-6152	634	15	low	low	ADJ
ejpam-6152	634	16	temperature	temperature	NOUN
ejpam-6152	634	17	.	.	PUNCT
ejpam-6152	635	1	mathematical	mathematical	ADJ
ejpam-6152	635	2	modeling	modeling	NOUN
ejpam-6152	635	3	and	and	CCONJ
ejpam-6152	635	4	computing	computing	NOUN
ejpam-6152	635	5	,	,	PUNCT
ejpam-6152	635	6	9(3):616–626	9(3):616–626	NUM
ejpam-6152	635	7	,	,	PUNCT
ejpam-6152	635	8	2022	2022	NUM
ejpam-6152	635	9	.	.	PUNCT
ejpam-6152	636	1	[	[	X
ejpam-6152	636	2	60	60	NUM
ejpam-6152	636	3	]	]	X
ejpam-6152	636	4	h.	h.	PROPN
ejpam-6152	636	5	p.	p.	PROPN
ejpam-6152	636	6	himsworth	himsworth	NOUN
ejpam-6152	636	7	and	and	CCONJ
ejpam-6152	636	8	s.	s.	PROPN
ejpam-6152	636	9	k.	k.	PROPN
ejpam-6152	636	10	ker	ker	PROPN
ejpam-6152	636	11	.	.	PUNCT
ejpam-6152	637	1	the	the	DET
ejpam-6152	637	2	measurement	measurement	NOUN
ejpam-6152	637	3	of	of	ADP
ejpam-6152	637	4	insulin	insulin	NOUN
ejpam-6152	637	5	sensitivity	sensitivity	NOUN
ejpam-6152	637	6	in	in	ADP
ejpam-6152	637	7	normal	normal	ADJ
ejpam-6152	637	8	and	and	CCONJ
ejpam-6152	637	9	diabetic	diabetic	ADJ
ejpam-6152	637	10	persons	person	NOUN
ejpam-6152	637	11	.	.	PUNCT
ejpam-6152	638	1	journal	journal	NOUN
ejpam-6152	638	2	of	of	ADP
ejpam-6152	638	3	physiology	physiology	NOUN
ejpam-6152	638	4	,	,	PUNCT
ejpam-6152	638	5	1939	1939	NUM
ejpam-6152	638	6	.	.	PUNCT
ejpam-6152	639	1	[	[	X
ejpam-6152	639	2	61	61	NUM
ejpam-6152	639	3	]	]	X
ejpam-6152	639	4	v.	v.	ADP
ejpam-6152	639	5	w.	w.	PROPN
ejpam-6152	639	6	bolie	bolie	PROPN
ejpam-6152	639	7	.	.	PUNCT
ejpam-6152	640	1	coefficients	coefficient	NOUN
ejpam-6152	640	2	of	of	ADP
ejpam-6152	640	3	normal	normal	ADJ
ejpam-6152	640	4	blood	blood	NOUN
ejpam-6152	640	5	glucose	glucose	NOUN
ejpam-6152	640	6	regulation	regulation	NOUN
ejpam-6152	640	7	.	.	PUNCT
ejpam-6152	641	1	journal	journal	PROPN
ejpam-6152	641	2	of	of	ADP
ejpam-6152	641	3	applied	apply	VERB
ejpam-6152	641	4	physiology	physiology	NOUN
ejpam-6152	641	5	,	,	PUNCT
ejpam-6152	641	6	1961	1961	NUM
ejpam-6152	641	7	.	.	PUNCT
ejpam-6152	642	1	[	[	X
ejpam-6152	642	2	62	62	NUM
ejpam-6152	642	3	]	]	PUNCT
ejpam-6152	642	4	r.	r.	PROPN
ejpam-6152	642	5	n.	n.	PROPN
ejpam-6152	642	6	bergman	bergman	PROPN
ejpam-6152	642	7	,	,	PUNCT
ejpam-6152	642	8	y.	y.	PROPN
ejpam-6152	642	9	z.	z.	PROPN
ejpam-6152	642	10	ider	ider	PROPN
ejpam-6152	642	11	,	,	PUNCT
ejpam-6152	642	12	c.	c.	PROPN
ejpam-6152	642	13	r.	r.	PROPN
ejpam-6152	642	14	bowden	bowden	PROPN
ejpam-6152	642	15	,	,	PUNCT
ejpam-6152	642	16	and	and	CCONJ
ejpam-6152	642	17	c.	c.	PROPN
ejpam-6152	642	18	cobelli	cobelli	PROPN
ejpam-6152	642	19	.	.	PUNCT
ejpam-6152	643	1	quantitative	quantitative	ADJ
ejpam-6152	643	2	estimation	estimation	NOUN
ejpam-6152	643	3	of	of	ADP
ejpam-6152	643	4	insulin	insulin	NOUN
ejpam-6152	643	5	sensitivity	sensitivity	NOUN
ejpam-6152	643	6	.	.	PUNCT
ejpam-6152	644	1	american	american	PROPN
ejpam-6152	644	2	journal	journal	PROPN
ejpam-6152	644	3	of	of	ADP
ejpam-6152	644	4	physiology	physiology	NOUN
ejpam-6152	644	5	-	-	PUNCT
ejpam-6152	644	6	endocrinology	endocrinology	NOUN
ejpam-6152	644	7	and	and	CCONJ
ejpam-6152	644	8	metabolism	metabolism	NOUN
ejpam-6152	644	9	,	,	PUNCT
ejpam-6152	644	10	1979	1979	NUM
ejpam-6152	644	11	.	.	PUNCT
ejpam-6152	645	1	[	[	X
ejpam-6152	645	2	63	63	NUM
ejpam-6152	645	3	]	]	PUNCT
ejpam-6152	645	4	r.	r.	PROPN
ejpam-6152	645	5	n.	n.	PROPN
ejpam-6152	645	6	bergman	bergman	PROPN
ejpam-6152	645	7	,	,	PUNCT
ejpam-6152	645	8	d.	d.	PROPN
ejpam-6152	645	9	t.	t.	PROPN
ejpam-6152	645	10	finegood	finegood	PROPN
ejpam-6152	645	11	,	,	PUNCT
ejpam-6152	645	12	and	and	CCONJ
ejpam-6152	645	13	m.	m.	PROPN
ejpam-6152	645	14	ader	ader	PROPN
ejpam-6152	645	15	.	.	PROPN
ejpam-6152	645	16	assessment	assessment	NOUN
ejpam-6152	645	17	of	of	ADP
ejpam-6152	645	18	insulin	insulin	NOUN
ejpam-6152	645	19	sensitivity	sensitivity	NOUN
ejpam-6152	645	20	in	in	ADP
ejpam-6152	645	21	vivo	vivo	NOUN
ejpam-6152	645	22	.	.	PUNCT
ejpam-6152	646	1	endocrine	endocrine	NOUN
ejpam-6152	646	2	reviews	review	NOUN
ejpam-6152	646	3	,	,	PUNCT
ejpam-6152	646	4	1985	1985	NUM
ejpam-6152	646	5	.	.	PUNCT
ejpam-6152	647	1	[	[	X
ejpam-6152	647	2	64	64	NUM
ejpam-6152	647	3	]	]	PUNCT
ejpam-6152	647	4	m.	m.	NOUN
ejpam-6152	647	5	derouich	derouich	PROPN
ejpam-6152	647	6	and	and	CCONJ
ejpam-6152	647	7	a.	a.	NOUN
ejpam-6152	647	8	boutayeb	boutayeb	PROPN
ejpam-6152	647	9	.	.	PUNCT
ejpam-6152	648	1	the	the	DET
ejpam-6152	648	2	effect	effect	NOUN
ejpam-6152	648	3	of	of	ADP
ejpam-6152	648	4	physical	physical	ADJ
ejpam-6152	648	5	exercise	exercise	NOUN
ejpam-6152	648	6	on	on	ADP
ejpam-6152	648	7	the	the	DET
ejpam-6152	648	8	dynamics	dynamic	NOUN
ejpam-6152	648	9	of	of	ADP
ejpam-6152	648	10	glucose	glucose	NOUN
ejpam-6152	648	11	-	-	PUNCT
ejpam-6152	648	12	insulin	insulin	NOUN
ejpam-6152	648	13	.	.	PUNCT
ejpam-6152	649	1	mathematical	mathematical	ADJ
ejpam-6152	649	2	biosciences	bioscience	NOUN
ejpam-6152	649	3	,	,	PUNCT
ejpam-6152	649	4	2002	2002	NUM
ejpam-6152	649	5	.	.	PUNCT
ejpam-6152	650	1	[	[	X
ejpam-6152	650	2	65	65	NUM
ejpam-6152	650	3	]	]	X
ejpam-6152	650	4	g.	g.	PROPN
ejpam-6152	650	5	gaetano	gaetano	PROPN
ejpam-6152	650	6	and	and	CCONJ
ejpam-6152	650	7	o.	o.	PROPN
ejpam-6152	650	8	arino	arino	PROPN
ejpam-6152	650	9	.	.	PUNCT
ejpam-6152	651	1	delay	delay	PROPN
ejpam-6152	651	2	differential	differential	ADJ
ejpam-6152	651	3	model	model	NOUN
ejpam-6152	651	4	of	of	ADP
ejpam-6152	651	5	the	the	DET
ejpam-6152	651	6	glucose	glucose	NOUN
ejpam-6152	651	7	-	-	PUNCT
ejpam-6152	651	8	insulin	insulin	NOUN
ejpam-6152	651	9	system	system	NOUN
ejpam-6152	651	10	.	.	PUNCT
ejpam-6152	652	1	mathematical	mathematical	ADJ
ejpam-6152	652	2	biosciences	bioscience	NOUN
ejpam-6152	652	3	and	and	CCONJ
ejpam-6152	652	4	engineering	engineering	NOUN
ejpam-6152	652	5	,	,	PUNCT
ejpam-6152	652	6	2000	2000	NUM
ejpam-6152	652	7	.	.	PUNCT
ejpam-6152	653	1	[	[	X
ejpam-6152	653	2	66	66	NUM
ejpam-6152	653	3	]	]	PUNCT
ejpam-6152	653	4	m.	m.	NOUN
ejpam-6152	653	5	shabestari	shabestari	PROPN
ejpam-6152	653	6	,	,	PUNCT
ejpam-6152	653	7	r.	r.	PROPN
ejpam-6152	653	8	salimifar	salimifar	PROPN
ejpam-6152	653	9	,	,	PUNCT
ejpam-6152	653	10	and	and	CCONJ
ejpam-6152	653	11	m.	m.	NOUN
ejpam-6152	653	12	rabiee	rabiee	PROPN
ejpam-6152	653	13	.	.	PUNCT
ejpam-6152	654	1	chaotic	chaotic	ADJ
ejpam-6152	654	2	behavior	behavior	NOUN
ejpam-6152	654	3	of	of	ADP
ejpam-6152	654	4	glucose	glucose	NOUN
ejpam-6152	654	5	-	-	PUNCT
ejpam-6152	654	6	insulin	insulin	NOUN
ejpam-6152	654	7	regulatory	regulatory	ADJ
ejpam-6152	654	8	system	system	NOUN
ejpam-6152	654	9	using	use	VERB
ejpam-6152	654	10	a	a	DET
ejpam-6152	654	11	predator	predator	NOUN
ejpam-6152	654	12	-	-	PUNCT
ejpam-6152	654	13	prey	prey	NOUN
ejpam-6152	654	14	model	model	NOUN
ejpam-6152	654	15	.	.	PUNCT
ejpam-6152	655	1	chaos	chaos	NOUN
ejpam-6152	655	2	,	,	PUNCT
ejpam-6152	655	3	solitons	soliton	NOUN
ejpam-6152	655	4	&	&	CCONJ
ejpam-6152	655	5	fractals	fractal	NOUN
ejpam-6152	655	6	,	,	PUNCT
ejpam-6152	655	7	114:1	114:1	NUM
ejpam-6152	655	8	–	–	PUNCT
ejpam-6152	655	9	10	10	NUM
ejpam-6152	655	10	,	,	PUNCT
ejpam-6152	655	11	2018	2018	NUM
ejpam-6152	655	12	.	.	PUNCT
ejpam-6152	656	1	[	[	X
ejpam-6152	656	2	67	67	NUM
ejpam-6152	656	3	]	]	PUNCT
ejpam-6152	656	4	a.	a.	NOUN
ejpam-6152	656	5	a.	a.	NOUN
ejpam-6152	656	6	elsadany	elsadany	PROPN
ejpam-6152	656	7	.	.	PUNCT
ejpam-6152	657	1	complex	complex	ADJ
ejpam-6152	657	2	dynamics	dynamic	NOUN
ejpam-6152	657	3	in	in	ADP
ejpam-6152	657	4	a	a	DET
ejpam-6152	657	5	fractional	fractional	ADJ
ejpam-6152	657	6	-	-	PUNCT
ejpam-6152	657	7	order	order	NOUN
ejpam-6152	657	8	predator	predator	NOUN
ejpam-6152	657	9	-	-	PUNCT
ejpam-6152	657	10	prey	prey	NOUN
ejpam-6152	657	11	model	model	NOUN
ejpam-6152	657	12	.	.	PUNCT
ejpam-6152	658	1	nonlinear	nonlinear	ADJ
ejpam-6152	658	2	dynamics	dynamic	NOUN
ejpam-6152	658	3	,	,	PUNCT
ejpam-6152	658	4	67(4):2281–2289	67(4):2281–2289	NUM
ejpam-6152	658	5	,	,	PUNCT
ejpam-6152	658	6	2012	2012	NUM
ejpam-6152	658	7	.	.	PUNCT
ejpam-6152	659	1	[	[	X
ejpam-6152	659	2	68	68	NUM
ejpam-6152	659	3	]	]	PUNCT
ejpam-6152	659	4	m.	m.	NOUN
ejpam-6152	659	5	caputo	caputo	PROPN
ejpam-6152	659	6	and	and	CCONJ
ejpam-6152	659	7	m.	m.	PROPN
ejpam-6152	659	8	fabrizio	fabrizio	PROPN
ejpam-6152	659	9	.	.	PUNCT
ejpam-6152	660	1	application	application	NOUN
ejpam-6152	660	2	of	of	ADP
ejpam-6152	660	3	new	new	ADJ
ejpam-6152	660	4	time	time	NOUN
ejpam-6152	660	5	and	and	CCONJ
ejpam-6152	660	6	spatial	spatial	ADJ
ejpam-6152	660	7	fractional	fractional	ADJ
ejpam-6152	660	8	derivatives	derivative	NOUN
ejpam-6152	660	9	with	with	ADP
ejpam-6152	660	10	exponential	exponential	ADJ
ejpam-6152	660	11	kernels	kernel	NOUN
ejpam-6152	660	12	.	.	PUNCT
ejpam-6152	661	1	progress	progress	NOUN
ejpam-6152	661	2	in	in	ADP
ejpam-6152	661	3	fractional	fractional	ADJ
ejpam-6152	661	4	differentiation	differentiation	NOUN
ejpam-6152	661	5	and	and	CCONJ
ejpam-6152	661	6	applications	application	NOUN
ejpam-6152	661	7	,	,	PUNCT
ejpam-6152	661	8	2:1	2:1	NUM
ejpam-6152	661	9	–	–	PUNCT
ejpam-6152	661	10	11	11	NUM
ejpam-6152	661	11	,	,	PUNCT
ejpam-6152	661	12	2016	2016	NUM
ejpam-6152	661	13	.	.	PUNCT
ejpam-6152	662	1	[	[	X
ejpam-6152	662	2	69	69	NUM
ejpam-6152	662	3	]	]	PUNCT
ejpam-6152	662	4	j.	j.	PROPN
ejpam-6152	662	5	losada	losada	PROPN
ejpam-6152	662	6	and	and	CCONJ
ejpam-6152	662	7	j.	j.	PROPN
ejpam-6152	662	8	j.	j.	PROPN
ejpam-6152	662	9	nieto	nieto	PROPN
ejpam-6152	662	10	.	.	PUNCT
ejpam-6152	663	1	properties	property	NOUN
ejpam-6152	663	2	of	of	ADP
ejpam-6152	663	3	a	a	DET
ejpam-6152	663	4	new	new	ADJ
ejpam-6152	663	5	fractional	fractional	ADJ
ejpam-6152	663	6	derivative	derivative	NOUN
ejpam-6152	663	7	without	without	ADP
ejpam-6152	663	8	singular	singular	ADJ
ejpam-6152	663	9	kernel	kernel	PROPN
ejpam-6152	663	10	.	.	PUNCT
ejpam-6152	664	1	progress	progress	NOUN
ejpam-6152	664	2	in	in	ADP
ejpam-6152	664	3	fractional	fractional	ADJ
ejpam-6152	664	4	differentiation	differentiation	NOUN
ejpam-6152	664	5	and	and	CCONJ
ejpam-6152	664	6	applications	application	NOUN
ejpam-6152	664	7	,	,	PUNCT
ejpam-6152	664	8	1:87–92	1:87–92	NUM
ejpam-6152	664	9	,	,	PUNCT
ejpam-6152	664	10	2015	2015	NUM
ejpam-6152	664	11	.	.	PUNCT
ejpam-6152	665	1	[	[	X
ejpam-6152	665	2	70	70	NUM
ejpam-6152	665	3	]	]	PUNCT
ejpam-6152	665	4	a.	a.	NOUN
ejpam-6152	665	5	shaikh	shaikh	PROPN
ejpam-6152	665	6	,	,	PUNCT
ejpam-6152	665	7	a.	a.	NOUN
ejpam-6152	665	8	tassaddiq	tassaddiq	NOUN
ejpam-6152	665	9	,	,	PUNCT
ejpam-6152	665	10	k.	k.	PROPN
ejpam-6152	665	11	s.	s.	PROPN
ejpam-6152	665	12	nisar	nisar	PROPN
ejpam-6152	665	13	,	,	PUNCT
ejpam-6152	665	14	and	and	CCONJ
ejpam-6152	665	15	d.	d.	PROPN
ejpam-6152	665	16	baleanu	baleanu	PROPN
ejpam-6152	665	17	.	.	PUNCT
ejpam-6152	666	1	analysis	analysis	NOUN
ejpam-6152	666	2	of	of	ADP
ejpam-6152	666	3	differential	differential	ADJ
ejpam-6152	666	4	equations	equation	NOUN
ejpam-6152	666	5	involving	involve	VERB
ejpam-6152	666	6	caputo	caputo	PROPN
ejpam-6152	666	7	-	-	PUNCT
ejpam-6152	666	8	fabrizio	fabrizio	PROPN
ejpam-6152	666	9	fractional	fractional	ADJ
ejpam-6152	666	10	operator	operator	NOUN
ejpam-6152	666	11	and	and	CCONJ
ejpam-6152	666	12	its	its	PRON
ejpam-6152	666	13	applications	application	NOUN
ejpam-6152	666	14	to	to	ADP
ejpam-6152	666	15	reactiondiffusion	reactiondiffusion	NOUN
ejpam-6152	666	16	equations	equation	NOUN
ejpam-6152	666	17	.	.	PUNCT
ejpam-6152	667	1	advances	advance	NOUN
ejpam-6152	667	2	in	in	ADP
ejpam-6152	667	3	difference	difference	NOUN
ejpam-6152	667	4	equations	equation	NOUN
ejpam-6152	667	5	,	,	PUNCT
ejpam-6152	667	6	2019(1):178	2019(1):178	NUM
ejpam-6152	667	7	,	,	PUNCT
ejpam-6152	667	8	2019	2019	NUM
ejpam-6152	667	9	.	.	PUNCT
ejpam-6152	668	1	[	[	X
ejpam-6152	668	2	71	71	NUM
ejpam-6152	668	3	]	]	PUNCT
ejpam-6152	668	4	s.	s.	PROPN
ejpam-6152	668	5	a.	a.	PROPN
ejpam-6152	668	6	khan	khan	PROPN
ejpam-6152	668	7	et	et	PROPN
ejpam-6152	668	8	al	al	PROPN
ejpam-6152	668	9	.	.	PROPN
ejpam-6152	668	10	existence	existence	PROPN
ejpam-6152	668	11	theory	theory	NOUN
ejpam-6152	668	12	and	and	CCONJ
ejpam-6152	668	13	numerical	numerical	ADJ
ejpam-6152	668	14	solutions	solution	NOUN
ejpam-6152	668	15	to	to	ADP
ejpam-6152	668	16	smoking	smoking	NOUN
ejpam-6152	668	17	model	model	NOUN
ejpam-6152	668	18	under	under	ADP
ejpam-6152	668	19	caputo	caputo	PROPN
ejpam-6152	668	20	-	-	PUNCT
ejpam-6152	668	21	fabrizio	fabrizio	PROPN
ejpam-6152	668	22	fractional	fractional	PROPN
ejpam-6152	668	23	derivative	derivative	NOUN
ejpam-6152	668	24	.	.	PUNCT
ejpam-6152	669	1	chaos	chaos	NOUN
ejpam-6152	669	2	:	:	PUNCT
ejpam-6152	669	3	an	an	DET
ejpam-6152	669	4	interdisciplinary	interdisciplinary	ADJ
ejpam-6152	669	5	journal	journal	NOUN
ejpam-6152	669	6	of	of	ADP
ejpam-6152	669	7	nonlinear	nonlinear	ADJ
ejpam-6152	669	8	science	science	NOUN
ejpam-6152	669	9	,	,	PUNCT
ejpam-6152	669	10	29(1):013128	29(1):013128	NUM
ejpam-6152	669	11	,	,	PUNCT
ejpam-6152	669	12	2019	2019	NUM
ejpam-6152	669	13	.	.	PUNCT