id	sid	tid	token	lemma	pos
ejpam-5944	1	1	european	european	PROPN
ejpam-5944	1	2	journal	journal	PROPN
ejpam-5944	1	3	of	of	ADP
ejpam-5944	1	4	pure	pure	ADJ
ejpam-5944	1	5	and	and	CCONJ
ejpam-5944	1	6	applied	applied	ADJ
ejpam-5944	1	7	mathematics	mathematic	NOUN
ejpam-5944	1	8	2025	2025	NUM
ejpam-5944	1	9	,	,	PUNCT
ejpam-5944	1	10	vol	vol	NOUN
ejpam-5944	1	11	.	.	PROPN
ejpam-5944	1	12	18	18	NUM
ejpam-5944	1	13	,	,	PUNCT
ejpam-5944	1	14	issue	issue	NOUN
ejpam-5944	1	15	2	2	NUM
ejpam-5944	1	16	,	,	PUNCT
ejpam-5944	1	17	article	article	NOUN
ejpam-5944	1	18	number	number	NOUN
ejpam-5944	1	19	5944	5944	NUM
ejpam-5944	1	20	issn	issn	PROPN
ejpam-5944	1	21	1307	1307	NUM
ejpam-5944	1	22	-	-	SYM
ejpam-5944	1	23	5543	5543	NUM
ejpam-5944	1	24	–	–	PUNCT
ejpam-5944	1	25	ejpam.com	ejpam.com	X
ejpam-5944	1	26	published	publish	VERB
ejpam-5944	1	27	by	by	ADP
ejpam-5944	1	28	new	new	PROPN
ejpam-5944	1	29	york	york	PROPN
ejpam-5944	1	30	business	business	PROPN
ejpam-5944	1	31	global	global	PROPN
ejpam-5944	1	32	a	a	DET
ejpam-5944	1	33	logistic	logistic	ADJ
ejpam-5944	1	34	growth	growth	NOUN
ejpam-5944	1	35	epidemiological	epidemiological	ADJ
ejpam-5944	1	36	seir	seir	NOUN
ejpam-5944	1	37	model	model	NOUN
ejpam-5944	1	38	with	with	ADP
ejpam-5944	1	39	computational	computational	ADJ
ejpam-5944	1	40	and	and	CCONJ
ejpam-5944	1	41	qualitative	qualitative	ADJ
ejpam-5944	1	42	results	result	NOUN
ejpam-5944	1	43	kamran1	kamran1	PROPN
ejpam-5944	1	44	,	,	PUNCT
ejpam-5944	1	45	sana	sana	PROPN
ejpam-5944	1	46	maqsood1	maqsood1	PROPN
ejpam-5944	1	47	,	,	PUNCT
ejpam-5944	1	48	rajermani	rajermani	PROPN
ejpam-5944	1	49	thinakaran2	thinakaran2	PROPN
ejpam-5944	1	50	,	,	PUNCT
ejpam-5944	1	51	hasib	hasib	PROPN
ejpam-5944	1	52	khan3,4,∗	khan3,4,∗	PROPN
ejpam-5944	1	53	,	,	PUNCT
ejpam-5944	1	54	jehad	jehad	PROPN
ejpam-5944	1	55	alzabut3,5	alzabut3,5	PROPN
ejpam-5944	1	56	1	1	NUM
ejpam-5944	1	57	department	department	NOUN
ejpam-5944	1	58	of	of	ADP
ejpam-5944	1	59	mathematics	mathematics	PROPN
ejpam-5944	1	60	,	,	PUNCT
ejpam-5944	1	61	islamia	islamia	PROPN
ejpam-5944	1	62	college	college	PROPN
ejpam-5944	1	63	peshawar	peshawar	PROPN
ejpam-5944	1	64	,	,	PUNCT
ejpam-5944	1	65	peshawar	peshawar	PROPN
ejpam-5944	1	66	25120	25120	NUM
ejpam-5944	1	67	,	,	PUNCT
ejpam-5944	1	68	khyber	khyber	PROPN
ejpam-5944	1	69	pakhtunkhwa	pakhtunkhwa	PROPN
ejpam-5944	1	70	,	,	PUNCT
ejpam-5944	1	71	pakistan	pakistan	PROPN
ejpam-5944	1	72	2	2	NUM
ejpam-5944	1	73	faculty	faculty	NOUN
ejpam-5944	1	74	of	of	ADP
ejpam-5944	1	75	data	datum	NOUN
ejpam-5944	1	76	science	science	NOUN
ejpam-5944	1	77	and	and	CCONJ
ejpam-5944	1	78	information	information	NOUN
ejpam-5944	1	79	technology	technology	NOUN
ejpam-5944	1	80	,	,	PUNCT
ejpam-5944	1	81	inti	inti	PROPN
ejpam-5944	1	82	international	international	PROPN
ejpam-5944	1	83	university	university	PROPN
ejpam-5944	1	84	,	,	PUNCT
ejpam-5944	1	85	malaysia	malaysia	PROPN
ejpam-5944	1	86	3	3	NUM
ejpam-5944	1	87	department	department	NOUN
ejpam-5944	1	88	of	of	ADP
ejpam-5944	1	89	mathematics	mathematic	NOUN
ejpam-5944	1	90	and	and	CCONJ
ejpam-5944	1	91	sciences	science	NOUN
ejpam-5944	1	92	,	,	PUNCT
ejpam-5944	1	93	prince	prince	PROPN
ejpam-5944	1	94	sultan	sultan	PROPN
ejpam-5944	1	95	university	university	PROPN
ejpam-5944	1	96	,	,	PUNCT
ejpam-5944	1	97	p.o	p.o	PROPN
ejpam-5944	1	98	.	.	PROPN
ejpam-5944	1	99	box	box	PROPN
ejpam-5944	1	100	66833	66833	NUM
ejpam-5944	1	101	,	,	PUNCT
ejpam-5944	1	102	11586	11586	NUM
ejpam-5944	1	103	riyadh	riyadh	NOUN
ejpam-5944	1	104	,	,	PUNCT
ejpam-5944	1	105	saudi	saudi	PROPN
ejpam-5944	1	106	arabia	arabia	PROPN
ejpam-5944	1	107	4	4	NUM
ejpam-5944	1	108	department	department	NOUN
ejpam-5944	1	109	of	of	ADP
ejpam-5944	1	110	mathematics	mathematic	NOUN
ejpam-5944	1	111	,	,	PUNCT
ejpam-5944	1	112	shaheed	shaheed	NOUN
ejpam-5944	1	113	benazir	benazir	PROPN
ejpam-5944	1	114	bhutto	bhutto	PROPN
ejpam-5944	1	115	university	university	PROPN
ejpam-5944	1	116	,	,	PUNCT
ejpam-5944	1	117	sheringal	sheringal	ADJ
ejpam-5944	1	118	,	,	PUNCT
ejpam-5944	1	119	dir	dir	NOUN
ejpam-5944	1	120	upper	upper	ADJ
ejpam-5944	1	121	,	,	PUNCT
ejpam-5944	1	122	khyber	khyber	PROPN
ejpam-5944	1	123	pakhtunkhwa	pakhtunkhwa	PROPN
ejpam-5944	1	124	,	,	PUNCT
ejpam-5944	1	125	pakistan	pakistan	PROPN
ejpam-5944	1	126	5	5	NUM
ejpam-5944	1	127	department	department	NOUN
ejpam-5944	1	128	of	of	ADP
ejpam-5944	1	129	industrial	industrial	ADJ
ejpam-5944	1	130	engineering	engineering	NOUN
ejpam-5944	1	131	,	,	PUNCT
ejpam-5944	1	132	ostim	ostim	PROPN
ejpam-5944	1	133	technical	technical	PROPN
ejpam-5944	1	134	university	university	PROPN
ejpam-5944	1	135	,	,	PUNCT
ejpam-5944	1	136	06374	06374	NUM
ejpam-5944	1	137	ankara	ankara	PROPN
ejpam-5944	1	138	,	,	PUNCT
ejpam-5944	1	139	turkiye	turkiye	PROPN
ejpam-5944	1	140	abstract	abstract	PROPN
ejpam-5944	1	141	.	.	PUNCT
ejpam-5944	2	1	this	this	DET
ejpam-5944	2	2	work	work	NOUN
ejpam-5944	2	3	presents	present	VERB
ejpam-5944	2	4	a	a	DET
ejpam-5944	2	5	numerical	numerical	ADJ
ejpam-5944	2	6	method	method	NOUN
ejpam-5944	2	7	for	for	ADP
ejpam-5944	2	8	solving	solve	VERB
ejpam-5944	2	9	fractional	fractional	ADJ
ejpam-5944	2	10	differential	differential	ADJ
ejpam-5944	2	11	equations	equation	NOUN
ejpam-5944	2	12	arising	arise	VERB
ejpam-5944	2	13	in	in	ADP
ejpam-5944	2	14	mathematical	mathematical	ADJ
ejpam-5944	2	15	biology	biology	NOUN
ejpam-5944	2	16	.	.	PUNCT
ejpam-5944	3	1	we	we	PRON
ejpam-5944	3	2	focus	focus	VERB
ejpam-5944	3	3	on	on	ADP
ejpam-5944	3	4	two	two	NUM
ejpam-5944	3	5	models	model	NOUN
ejpam-5944	3	6	:	:	PUNCT
ejpam-5944	3	7	the	the	DET
ejpam-5944	3	8	fractional	fractional	ADJ
ejpam-5944	3	9	logistic	logistic	ADJ
ejpam-5944	3	10	growth	growth	NOUN
ejpam-5944	3	11	model	model	NOUN
ejpam-5944	3	12	,	,	PUNCT
ejpam-5944	3	13	which	which	PRON
ejpam-5944	3	14	describes	describe	VERB
ejpam-5944	3	15	population	population	NOUN
ejpam-5944	3	16	dynamics	dynamic	NOUN
ejpam-5944	3	17	,	,	PUNCT
ejpam-5944	3	18	and	and	CCONJ
ejpam-5944	3	19	the	the	DET
ejpam-5944	3	20	fractional	fractional	ADJ
ejpam-5944	3	21	seir	seir	ADJ
ejpam-5944	3	22	model	model	NOUN
ejpam-5944	3	23	,	,	PUNCT
ejpam-5944	3	24	which	which	PRON
ejpam-5944	3	25	describes	describe	VERB
ejpam-5944	3	26	the	the	DET
ejpam-5944	3	27	spread	spread	NOUN
ejpam-5944	3	28	of	of	ADP
ejpam-5944	3	29	epidemics	epidemic	NOUN
ejpam-5944	3	30	.	.	PUNCT
ejpam-5944	4	1	we	we	PRON
ejpam-5944	4	2	use	use	VERB
ejpam-5944	4	3	the	the	DET
ejpam-5944	4	4	fourth	fourth	ADJ
ejpam-5944	4	5	-	-	PUNCT
ejpam-5944	4	6	order	order	NOUN
ejpam-5944	4	7	fractional	fractional	ADJ
ejpam-5944	4	8	runge	runge	NOUN
ejpam-5944	4	9	-	-	PUNCT
ejpam-5944	4	10	kutta	kutta	NOUN
ejpam-5944	4	11	(	(	PUNCT
ejpam-5944	4	12	frk4	frk4	PROPN
ejpam-5944	4	13	)	)	PUNCT
ejpam-5944	4	14	method	method	NOUN
ejpam-5944	4	15	to	to	PART
ejpam-5944	4	16	approximate	approximate	VERB
ejpam-5944	4	17	the	the	DET
ejpam-5944	4	18	solution	solution	NOUN
ejpam-5944	4	19	of	of	ADP
ejpam-5944	4	20	fractional	fractional	ADJ
ejpam-5944	4	21	differential	differential	ADJ
ejpam-5944	4	22	equations	equation	NOUN
ejpam-5944	4	23	(	(	PUNCT
ejpam-5944	4	24	fdes	fde	NOUN
ejpam-5944	4	25	)	)	PUNCT
ejpam-5944	4	26	associated	associate	VERB
ejpam-5944	4	27	with	with	ADP
ejpam-5944	4	28	these	these	DET
ejpam-5944	4	29	models	model	NOUN
ejpam-5944	4	30	.	.	PUNCT
ejpam-5944	5	1	the	the	DET
ejpam-5944	5	2	caputo	caputo	PROPN
ejpam-5944	5	3	definition	definition	NOUN
ejpam-5944	5	4	of	of	ADP
ejpam-5944	5	5	the	the	DET
ejpam-5944	5	6	fractional	fractional	ADJ
ejpam-5944	5	7	derivative	derivative	NOUN
ejpam-5944	5	8	is	be	AUX
ejpam-5944	5	9	used	use	VERB
ejpam-5944	5	10	in	in	ADP
ejpam-5944	5	11	our	our	PRON
ejpam-5944	5	12	models	model	NOUN
ejpam-5944	5	13	as	as	SCONJ
ejpam-5944	5	14	it	it	PRON
ejpam-5944	5	15	is	be	AUX
ejpam-5944	5	16	more	more	ADV
ejpam-5944	5	17	appropriate	appropriate	ADJ
ejpam-5944	5	18	for	for	ADP
ejpam-5944	5	19	initial	initial	ADJ
ejpam-5944	5	20	value	value	NOUN
ejpam-5944	5	21	problems	problem	NOUN
ejpam-5944	5	22	involving	involve	VERB
ejpam-5944	5	23	real	real	ADJ
ejpam-5944	5	24	-	-	PUNCT
ejpam-5944	5	25	life	life	NOUN
ejpam-5944	5	26	phenomena	phenomenon	NOUN
ejpam-5944	5	27	.	.	PUNCT
ejpam-5944	6	1	the	the	DET
ejpam-5944	6	2	application	application	NOUN
ejpam-5944	6	3	of	of	ADP
ejpam-5944	6	4	frk4	frk4	NOUN
ejpam-5944	6	5	provides	provide	VERB
ejpam-5944	6	6	a	a	DET
ejpam-5944	6	7	stable	stable	ADJ
ejpam-5944	6	8	and	and	CCONJ
ejpam-5944	6	9	accurate	accurate	ADJ
ejpam-5944	6	10	numerical	numerical	ADJ
ejpam-5944	6	11	solution	solution	NOUN
ejpam-5944	6	12	for	for	ADP
ejpam-5944	6	13	both	both	DET
ejpam-5944	6	14	models	model	NOUN
ejpam-5944	6	15	.	.	PUNCT
ejpam-5944	7	1	the	the	DET
ejpam-5944	7	2	method	method	NOUN
ejpam-5944	7	3	is	be	AUX
ejpam-5944	7	4	validated	validate	VERB
ejpam-5944	7	5	via	via	ADP
ejpam-5944	7	6	numerical	numerical	ADJ
ejpam-5944	7	7	experiments	experiment	NOUN
ejpam-5944	7	8	,	,	PUNCT
ejpam-5944	7	9	demonstrating	demonstrate	VERB
ejpam-5944	7	10	efficiency	efficiency	NOUN
ejpam-5944	7	11	and	and	CCONJ
ejpam-5944	7	12	convergence	convergence	NOUN
ejpam-5944	7	13	in	in	ADP
ejpam-5944	7	14	controlling	control	VERB
ejpam-5944	7	15	fractional	fractional	ADJ
ejpam-5944	7	16	-	-	PUNCT
ejpam-5944	7	17	order	order	NOUN
ejpam-5944	7	18	dynamics	dynamic	NOUN
ejpam-5944	7	19	,	,	PUNCT
ejpam-5944	7	20	as	as	ADP
ejpam-5944	7	21	process	process	NOUN
ejpam-5944	7	22	innovation	innovation	NOUN
ejpam-5944	7	23	.	.	PUNCT
ejpam-5944	8	1	a	a	DET
ejpam-5944	8	2	comparative	comparative	ADJ
ejpam-5944	8	3	study	study	NOUN
ejpam-5944	8	4	with	with	ADP
ejpam-5944	8	5	existing	exist	VERB
ejpam-5944	8	6	numerical	numerical	ADJ
ejpam-5944	8	7	techniques	technique	NOUN
ejpam-5944	8	8	highlights	highlight	NOUN
ejpam-5944	8	9	the	the	DET
ejpam-5944	8	10	benefits	benefit	NOUN
ejpam-5944	8	11	of	of	ADP
ejpam-5944	8	12	frk4	frk4	NOUN
ejpam-5944	8	13	in	in	ADP
ejpam-5944	8	14	terms	term	NOUN
ejpam-5944	8	15	of	of	ADP
ejpam-5944	8	16	accuracy	accuracy	NOUN
ejpam-5944	8	17	and	and	CCONJ
ejpam-5944	8	18	efficiency	efficiency	NOUN
ejpam-5944	8	19	.	.	PUNCT
ejpam-5944	9	1	2020	2020	NUM
ejpam-5944	9	2	mathematics	mathematic	NOUN
ejpam-5944	9	3	subject	subject	NOUN
ejpam-5944	9	4	classifications	classification	NOUN
ejpam-5944	9	5	:	:	PUNCT
ejpam-5944	9	6	92d30	92d30	NUM
ejpam-5944	9	7	,	,	PUNCT
ejpam-5944	9	8	34a08	34a08	NUM
ejpam-5944	9	9	,	,	PUNCT
ejpam-5944	9	10	65l06	65l06	NUM
ejpam-5944	9	11	,	,	PUNCT
ejpam-5944	9	12	37m05	37m05	NUM
ejpam-5944	9	13	key	key	ADJ
ejpam-5944	9	14	words	word	NOUN
ejpam-5944	9	15	and	and	CCONJ
ejpam-5944	9	16	phrases	phrase	NOUN
ejpam-5944	9	17	:	:	PUNCT
ejpam-5944	9	18	fractional	fractional	ADJ
ejpam-5944	9	19	logistic	logistic	ADJ
ejpam-5944	9	20	growth	growth	NOUN
ejpam-5944	9	21	models	model	NOUN
ejpam-5944	9	22	,	,	PUNCT
ejpam-5944	9	23	fractional	fractional	ADJ
ejpam-5944	9	24	seir	seir	ADJ
ejpam-5944	9	25	model	model	NOUN
ejpam-5944	9	26	,	,	PUNCT
ejpam-5944	9	27	fractional	fractional	ADJ
ejpam-5944	9	28	fourth	fourth	ADJ
ejpam-5944	9	29	order	order	NOUN
ejpam-5944	9	30	runge	runge	NOUN
ejpam-5944	9	31	-	-	PUNCT
ejpam-5944	9	32	kutta	kutta	NOUN
ejpam-5944	9	33	method	method	NOUN
ejpam-5944	9	34	∗corresponding	∗corresponde	VERB
ejpam-5944	9	35	author	author	NOUN
ejpam-5944	9	36	.	.	PUNCT
ejpam-5944	10	1	doi	doi	NOUN
ejpam-5944	10	2	:	:	PUNCT
ejpam-5944	10	3	https://doi.org/10.29020/nybg.ejpam.v18i2.5944	https://doi.org/10.29020/nybg.ejpam.v18i2.5944	NOUN
ejpam-5944	10	4	email	email	NOUN
ejpam-5944	10	5	addresses	address	NOUN
ejpam-5944	10	6	:	:	PUNCT
ejpam-5944	10	7	kamran.maths@icp.edu.pk	kamran.maths@icp.edu.pk	PROPN
ejpam-5944	10	8	(	(	PUNCT
ejpam-5944	10	9	kamran	kamran	PROPN
ejpam-5944	10	10	)	)	PUNCT
ejpam-5944	10	11	,	,	PUNCT
ejpam-5944	10	12	sanamaqsood2002@gmail.com	sanamaqsood2002@gmail.com	PROPN
ejpam-5944	10	13	(	(	PUNCT
ejpam-5944	10	14	s.	s.	PROPN
ejpam-5944	10	15	maqsood	maqsood	PROPN
ejpam-5944	10	16	)	)	PUNCT
ejpam-5944	10	17	,	,	PUNCT
ejpam-5944	10	18	rajermani.thina@newinti.edu.my	rajermani.thina@newinti.edu.my	NOUN
ejpam-5944	10	19	(	(	PUNCT
ejpam-5944	10	20	t.	t.	PROPN
ejpam-5944	10	21	thinakaran	thinakaran	PROPN
ejpam-5944	10	22	)	)	PUNCT
ejpam-5944	10	23	,	,	PUNCT
ejpam-5944	10	24	hkhan@psu.edu.sa	hkhan@psu.edu.sa	PROPN
ejpam-5944	10	25	(	(	PUNCT
ejpam-5944	10	26	h.	h.	PROPN
ejpam-5944	10	27	khan	khan	PROPN
ejpam-5944	10	28	)	)	PUNCT
ejpam-5944	10	29	,	,	PUNCT
ejpam-5944	10	30	jalzabut@psu.edu.sa	jalzabut@psu.edu.sa	PROPN
ejpam-5944	10	31	(	(	PUNCT
ejpam-5944	10	32	j.	j.	PROPN
ejpam-5944	10	33	alzabut	alzabut	PROPN
ejpam-5944	10	34	)	)	PUNCT
ejpam-5944	10	35	,	,	PUNCT
ejpam-5944	10	36	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5944	10	37	1	1	NUM
ejpam-5944	10	38	copyright	copyright	NOUN
ejpam-5944	10	39	:	:	PUNCT
ejpam-5944	11	1	©	©	PROPN
ejpam-5944	11	2	2025	2025	NUM
ejpam-5944	11	3	the	the	DET
ejpam-5944	11	4	author(s	author(s	NOUN
ejpam-5944	11	5	)	)	PUNCT
ejpam-5944	11	6	.	.	PUNCT
ejpam-5944	12	1	(	(	PUNCT
ejpam-5944	12	2	cc	cc	NOUN
ejpam-5944	12	3	by	by	ADP
ejpam-5944	12	4	-	-	PUNCT
ejpam-5944	12	5	nc	nc	PROPN
ejpam-5944	12	6	4.0	4.0	NUM
ejpam-5944	12	7	)	)	PUNCT
ejpam-5944	12	8	kamran	kamran	PROPN
ejpam-5944	12	9	et	et	PROPN
ejpam-5944	12	10	al	al	PROPN
ejpam-5944	12	11	.	.	PUNCT
ejpam-5944	12	12	/	/	SYM
ejpam-5944	12	13	eur	eur	PROPN
ejpam-5944	12	14	.	.	PUNCT
ejpam-5944	13	1	j.	j.	PROPN
ejpam-5944	13	2	pure	pure	PROPN
ejpam-5944	13	3	appl	appl	PROPN
ejpam-5944	13	4	.	.	PROPN
ejpam-5944	13	5	math	math	PROPN
ejpam-5944	13	6	,	,	PUNCT
ejpam-5944	13	7	18	18	NUM
ejpam-5944	13	8	(	(	PUNCT
ejpam-5944	13	9	2	2	NUM
ejpam-5944	13	10	)	)	PUNCT
ejpam-5944	13	11	(	(	PUNCT
ejpam-5944	13	12	2025	2025	NUM
ejpam-5944	13	13	)	)	PUNCT
ejpam-5944	13	14	,	,	PUNCT
ejpam-5944	13	15	5944	5944	NUM
ejpam-5944	13	16	2	2	NUM
ejpam-5944	13	17	of	of	ADP
ejpam-5944	13	18	32	32	NUM
ejpam-5944	13	19	1	1	NUM
ejpam-5944	13	20	.	.	PUNCT
ejpam-5944	13	21	introduction	introduction	NOUN
ejpam-5944	13	22	the	the	DET
ejpam-5944	13	23	study	study	NOUN
ejpam-5944	13	24	of	of	ADP
ejpam-5944	13	25	fractional	fractional	ADJ
ejpam-5944	13	26	-	-	PUNCT
ejpam-5944	13	27	order	order	NOUN
ejpam-5944	13	28	problems	problem	NOUN
ejpam-5944	13	29	has	have	AUX
ejpam-5944	13	30	now	now	ADV
ejpam-5944	13	31	become	become	VERB
ejpam-5944	13	32	an	an	DET
ejpam-5944	13	33	area	area	NOUN
ejpam-5944	13	34	of	of	ADP
ejpam-5944	13	35	interest	interest	NOUN
ejpam-5944	13	36	for	for	ADP
ejpam-5944	13	37	the	the	DET
ejpam-5944	13	38	research	research	NOUN
ejpam-5944	13	39	community	community	NOUN
ejpam-5944	13	40	.	.	PUNCT
ejpam-5944	14	1	due	due	ADP
ejpam-5944	14	2	to	to	ADP
ejpam-5944	14	3	the	the	DET
ejpam-5944	14	4	increasing	increase	VERB
ejpam-5944	14	5	applications	application	NOUN
ejpam-5944	14	6	of	of	ADP
ejpam-5944	14	7	fractional	fractional	ADJ
ejpam-5944	14	8	operators	operator	NOUN
ejpam-5944	14	9	,	,	PUNCT
ejpam-5944	14	10	researchers	researcher	NOUN
ejpam-5944	14	11	are	be	AUX
ejpam-5944	14	12	attracted	attract	VERB
ejpam-5944	14	13	to	to	ADP
ejpam-5944	14	14	the	the	DET
ejpam-5944	14	15	field	field	NOUN
ejpam-5944	14	16	.	.	PUNCT
ejpam-5944	15	1	many	many	ADJ
ejpam-5944	15	2	real	real	ADJ
ejpam-5944	15	3	-	-	PUNCT
ejpam-5944	15	4	world	world	NOUN
ejpam-5944	15	5	problems	problem	NOUN
ejpam-5944	15	6	have	have	AUX
ejpam-5944	15	7	been	be	AUX
ejpam-5944	15	8	modeled	model	VERB
ejpam-5944	15	9	and	and	CCONJ
ejpam-5944	15	10	studied	study	VERB
ejpam-5944	15	11	using	use	VERB
ejpam-5944	15	12	fractional	fractional	ADJ
ejpam-5944	15	13	-	-	PUNCT
ejpam-5944	15	14	order	order	NOUN
ejpam-5944	15	15	operators	operator	NOUN
ejpam-5944	15	16	.	.	PUNCT
ejpam-5944	16	1	problems	problem	NOUN
ejpam-5944	16	2	involving	involve	VERB
ejpam-5944	16	3	fractional	fractional	ADJ
ejpam-5944	16	4	operators	operator	NOUN
ejpam-5944	16	5	arise	arise	VERB
ejpam-5944	16	6	in	in	ADP
ejpam-5944	16	7	different	different	ADJ
ejpam-5944	16	8	fields	field	NOUN
ejpam-5944	16	9	of	of	ADP
ejpam-5944	16	10	engineering	engineering	NOUN
ejpam-5944	16	11	and	and	CCONJ
ejpam-5944	16	12	other	other	ADJ
ejpam-5944	16	13	sciences	science	NOUN
ejpam-5944	16	14	,	,	PUNCT
ejpam-5944	16	15	such	such	ADJ
ejpam-5944	16	16	as	as	ADP
ejpam-5944	16	17	physics	physics	NOUN
ejpam-5944	16	18	,	,	PUNCT
ejpam-5944	16	19	economics	economic	NOUN
ejpam-5944	16	20	,	,	PUNCT
ejpam-5944	16	21	biology	biology	NOUN
ejpam-5944	16	22	,	,	PUNCT
ejpam-5944	16	23	ecology	ecology	NOUN
ejpam-5944	16	24	,	,	PUNCT
ejpam-5944	16	25	fluid	fluid	ADJ
ejpam-5944	16	26	mechanics	mechanic	NOUN
ejpam-5944	16	27	,	,	PUNCT
ejpam-5944	16	28	and	and	CCONJ
ejpam-5944	16	29	electrochemistry	electrochemistry	NOUN
ejpam-5944	17	1	[	[	X
ejpam-5944	17	2	1–4	1–4	NOUN
ejpam-5944	17	3	]	]	X
ejpam-5944	17	4	.	.	PUNCT
ejpam-5944	18	1	fractional	fractional	ADJ
ejpam-5944	18	2	calculation	calculation	NOUN
ejpam-5944	18	3	is	be	AUX
ejpam-5944	18	4	an	an	DET
ejpam-5944	18	5	efficient	efficient	ADJ
ejpam-5944	18	6	mathematical	mathematical	ADJ
ejpam-5944	18	7	tool	tool	NOUN
ejpam-5944	18	8	to	to	PART
ejpam-5944	18	9	solve	solve	VERB
ejpam-5944	18	10	different	different	ADJ
ejpam-5944	18	11	problems	problem	NOUN
ejpam-5944	18	12	in	in	ADP
ejpam-5944	18	13	mathematics	mathematic	NOUN
ejpam-5944	18	14	and	and	CCONJ
ejpam-5944	18	15	engineering	engineering	NOUN
ejpam-5944	18	16	.	.	PUNCT
ejpam-5944	19	1	to	to	PART
ejpam-5944	19	2	attract	attract	VERB
ejpam-5944	19	3	more	more	ADJ
ejpam-5944	19	4	attention	attention	NOUN
ejpam-5944	19	5	in	in	ADP
ejpam-5944	19	6	this	this	DET
ejpam-5944	19	7	area	area	NOUN
ejpam-5944	19	8	and	and	CCONJ
ejpam-5944	19	9	to	to	PART
ejpam-5944	19	10	validate	validate	VERB
ejpam-5944	19	11	its	its	PRON
ejpam-5944	19	12	applicability	applicability	NOUN
ejpam-5944	19	13	and	and	CCONJ
ejpam-5944	19	14	efficiency	efficiency	NOUN
ejpam-5944	19	15	,	,	PUNCT
ejpam-5944	19	16	in	in	ADP
ejpam-5944	19	17	this	this	DET
ejpam-5944	19	18	work	work	NOUN
ejpam-5944	19	19	,	,	PUNCT
ejpam-5944	19	20	we	we	PRON
ejpam-5944	19	21	present	present	VERB
ejpam-5944	19	22	a	a	DET
ejpam-5944	19	23	new	new	ADJ
ejpam-5944	19	24	and	and	CCONJ
ejpam-5944	19	25	recent	recent	ADJ
ejpam-5944	19	26	application	application	NOUN
ejpam-5944	19	27	of	of	ADP
ejpam-5944	19	28	fractional	fractional	ADJ
ejpam-5944	19	29	calculus	calculus	NOUN
ejpam-5944	19	30	in	in	ADP
ejpam-5944	19	31	biological	biological	ADJ
ejpam-5944	19	32	sciences	science	NOUN
ejpam-5944	20	1	[	[	X
ejpam-5944	20	2	5	5	NUM
ejpam-5944	20	3	,	,	PUNCT
ejpam-5944	20	4	6	6	NUM
ejpam-5944	20	5	]	]	PUNCT
ejpam-5944	20	6	.	.	PUNCT
ejpam-5944	21	1	recently	recently	ADV
ejpam-5944	21	2	,	,	PUNCT
ejpam-5944	21	3	fractional	fractional	ADJ
ejpam-5944	21	4	calculus	calculus	NOUN
ejpam-5944	21	5	has	have	AUX
ejpam-5944	21	6	been	be	AUX
ejpam-5944	21	7	applied	apply	VERB
ejpam-5944	21	8	to	to	PART
ejpam-5944	21	9	analyze	analyze	VERB
ejpam-5944	21	10	various	various	ADJ
ejpam-5944	21	11	nonlinear	nonlinear	ADJ
ejpam-5944	21	12	problems	problem	NOUN
ejpam-5944	21	13	[	[	X
ejpam-5944	21	14	7	7	NUM
ejpam-5944	21	15	,	,	PUNCT
ejpam-5944	21	16	8	8	NUM
ejpam-5944	21	17	]	]	PUNCT
ejpam-5944	21	18	.	.	PUNCT
ejpam-5944	22	1	since	since	SCONJ
ejpam-5944	22	2	analytical	analytical	ADJ
ejpam-5944	22	3	solutions	solution	NOUN
ejpam-5944	22	4	to	to	ADP
ejpam-5944	22	5	fractional	fractional	ADJ
ejpam-5944	22	6	differential	differential	ADJ
ejpam-5944	22	7	equations	equation	NOUN
ejpam-5944	22	8	are	be	AUX
ejpam-5944	22	9	often	often	ADV
ejpam-5944	22	10	unavailable	unavailable	ADJ
ejpam-5944	22	11	,	,	PUNCT
ejpam-5944	22	12	semi	semi	ADJ
ejpam-5944	22	13	-	-	ADJ
ejpam-5944	22	14	analytical	analytical	ADJ
ejpam-5944	22	15	and	and	CCONJ
ejpam-5944	22	16	numerical	numerical	ADJ
ejpam-5944	22	17	methods	method	NOUN
ejpam-5944	22	18	are	be	AUX
ejpam-5944	22	19	essential	essential	ADJ
ejpam-5944	22	20	for	for	ADP
ejpam-5944	22	21	investigating	investigate	VERB
ejpam-5944	22	22	nonlinear	nonlinear	ADJ
ejpam-5944	22	23	fractional	fractional	ADJ
ejpam-5944	22	24	-	-	PUNCT
ejpam-5944	22	25	order	order	NOUN
ejpam-5944	22	26	problems[9	problems[9	NOUN
ejpam-5944	22	27	]	]	PUNCT
ejpam-5944	22	28	.	.	PUNCT
ejpam-5944	23	1	recently	recently	ADV
ejpam-5944	23	2	,	,	PUNCT
ejpam-5944	23	3	various	various	ADJ
ejpam-5944	23	4	methods	method	NOUN
ejpam-5944	23	5	have	have	AUX
ejpam-5944	23	6	been	be	AUX
ejpam-5944	23	7	developed	develop	VERB
ejpam-5944	23	8	for	for	ADP
ejpam-5944	23	9	solving	solve	VERB
ejpam-5944	23	10	linear	linear	ADJ
ejpam-5944	23	11	and	and	CCONJ
ejpam-5944	23	12	non	non	ADJ
ejpam-5944	23	13	-	-	ADJ
ejpam-5944	23	14	linear	linear	ADJ
ejpam-5944	23	15	dynamical	dynamical	ADJ
ejpam-5944	23	16	systems	system	NOUN
ejpam-5944	23	17	,	,	PUNCT
ejpam-5944	23	18	such	such	ADJ
ejpam-5944	23	19	as	as	ADP
ejpam-5944	23	20	the	the	DET
ejpam-5944	23	21	homotopy	homotopy	NOUN
ejpam-5944	23	22	perturbation	perturbation	NOUN
ejpam-5944	23	23	method	method	NOUN
ejpam-5944	23	24	(	(	PUNCT
ejpam-5944	23	25	hpm	hpm	NOUN
ejpam-5944	23	26	)	)	PUNCT
ejpam-5944	24	1	[	[	X
ejpam-5944	24	2	10	10	NUM
ejpam-5944	24	3	]	]	PUNCT
ejpam-5944	24	4	,	,	PUNCT
ejpam-5944	24	5	legendre	legendre	PROPN
ejpam-5944	24	6	wavelet	wavelet	PROPN
ejpam-5944	24	7	tau	tau	PROPN
ejpam-5944	24	8	method[11	method[11	PROPN
ejpam-5944	24	9	]	]	PUNCT
ejpam-5944	24	10	,	,	PUNCT
ejpam-5944	24	11	the	the	DET
ejpam-5944	24	12	laplace	laplace	NOUN
ejpam-5944	24	13	transform	transform	VERB
ejpam-5944	24	14	method	method	NOUN
ejpam-5944	24	15	[	[	X
ejpam-5944	24	16	12	12	NUM
ejpam-5944	24	17	,	,	PUNCT
ejpam-5944	24	18	13	13	NUM
ejpam-5944	24	19	]	]	PUNCT
ejpam-5944	24	20	,	,	PUNCT
ejpam-5944	24	21	adomian	adomian	NOUN
ejpam-5944	24	22	decomposition	decomposition	NOUN
ejpam-5944	24	23	method	method	NOUN
ejpam-5944	24	24	[	[	X
ejpam-5944	24	25	14	14	NUM
ejpam-5944	24	26	]	]	PUNCT
ejpam-5944	24	27	,	,	PUNCT
ejpam-5944	24	28	homotopy	homotopy	VERB
ejpam-5944	24	29	analysis	analysis	NOUN
ejpam-5944	24	30	transformation	transformation	NOUN
ejpam-5944	24	31	method	method	NOUN
ejpam-5944	24	32	(	(	PUNCT
ejpam-5944	24	33	hatm	hatm	ADJ
ejpam-5944	24	34	)	)	PUNCT
ejpam-5944	25	1	[	[	X
ejpam-5944	25	2	15	15	NUM
ejpam-5944	25	3	]	]	PUNCT
ejpam-5944	25	4	,	,	PUNCT
ejpam-5944	25	5	the	the	DET
ejpam-5944	25	6	method	method	NOUN
ejpam-5944	25	7	of	of	ADP
ejpam-5944	25	8	operational	operational	ADJ
ejpam-5944	25	9	matrices	matrix	NOUN
ejpam-5944	25	10	based	base	VERB
ejpam-5944	25	11	on	on	ADP
ejpam-5944	25	12	bernstein	bernstein	PROPN
ejpam-5944	25	13	polynomials	polynomials	PROPN
ejpam-5944	25	14	[	[	X
ejpam-5944	25	15	16	16	NUM
ejpam-5944	25	16	]	]	PUNCT
ejpam-5944	25	17	,	,	PUNCT
ejpam-5944	25	18	the	the	DET
ejpam-5944	25	19	the	the	DET
ejpam-5944	25	20	extrapolation	extrapolation	NOUN
ejpam-5944	25	21	method	method	NOUN
ejpam-5944	26	1	[	[	X
ejpam-5944	26	2	17	17	NUM
ejpam-5944	26	3	]	]	PUNCT
ejpam-5944	26	4	,	,	PUNCT
ejpam-5944	26	5	and	and	CCONJ
ejpam-5944	26	6	references	reference	NOUN
ejpam-5944	26	7	therein	therein	ADV
ejpam-5944	26	8	.	.	PUNCT
ejpam-5944	27	1	in	in	ADP
ejpam-5944	27	2	literature	literature	NOUN
ejpam-5944	27	3	,	,	PUNCT
ejpam-5944	27	4	numerous	numerous	ADJ
ejpam-5944	27	5	numerical	numerical	ADJ
ejpam-5944	27	6	methods	method	NOUN
ejpam-5944	27	7	have	have	AUX
ejpam-5944	27	8	been	be	AUX
ejpam-5944	27	9	developed	develop	VERB
ejpam-5944	27	10	for	for	ADP
ejpam-5944	27	11	the	the	DET
ejpam-5944	27	12	approximation	approximation	NOUN
ejpam-5944	27	13	of	of	ADP
ejpam-5944	27	14	linear	linear	PROPN
ejpam-5944	27	15	equations	equation	NOUN
ejpam-5944	27	16	.	.	PUNCT
ejpam-5944	28	1	in	in	ADP
ejpam-5944	28	2	[	[	X
ejpam-5944	28	3	18	18	NUM
ejpam-5944	28	4	]	]	PUNCT
ejpam-5944	28	5	the	the	DET
ejpam-5944	28	6	authors	author	NOUN
ejpam-5944	28	7	have	have	AUX
ejpam-5944	28	8	proposed	propose	VERB
ejpam-5944	28	9	the	the	DET
ejpam-5944	28	10	adams	adams	PROPN
ejpam-5944	28	11	-	-	PUNCT
ejpam-5944	28	12	bashforth	bashforth	PROPN
ejpam-5944	28	13	-	-	PUNCT
ejpam-5944	28	14	moulton	moulton	PROPN
ejpam-5944	28	15	approach	approach	NOUN
ejpam-5944	28	16	for	for	ADP
ejpam-5944	28	17	the	the	DET
ejpam-5944	28	18	numerical	numerical	ADJ
ejpam-5944	28	19	solutions	solution	NOUN
ejpam-5944	28	20	of	of	ADP
ejpam-5944	28	21	nonlinear	nonlinear	ADJ
ejpam-5944	28	22	differential	differential	ADJ
ejpam-5944	28	23	equations	equation	NOUN
ejpam-5944	28	24	of	of	ADP
ejpam-5944	28	25	fractional	fractional	ADJ
ejpam-5944	28	26	order	order	NOUN
ejpam-5944	28	27	.	.	PUNCT
ejpam-5944	29	1	the	the	DET
ejpam-5944	29	2	numerical	numerical	ADJ
ejpam-5944	29	3	solution	solution	NOUN
ejpam-5944	29	4	of	of	ADP
ejpam-5944	29	5	a	a	DET
ejpam-5944	29	6	nonlinear	nonlinear	ADJ
ejpam-5944	29	7	delay	delay	NOUN
ejpam-5944	29	8	differential	differential	NOUN
ejpam-5944	29	9	equation	equation	NOUN
ejpam-5944	29	10	is	be	AUX
ejpam-5944	29	11	investigated	investigate	VERB
ejpam-5944	29	12	via	via	ADP
ejpam-5944	29	13	the	the	DET
ejpam-5944	29	14	predictor	predictor	NOUN
ejpam-5944	29	15	-	-	PUNCT
ejpam-5944	29	16	corrector	corrector	NOUN
ejpam-5944	29	17	method	method	NOUN
ejpam-5944	29	18	in	in	ADP
ejpam-5944	29	19	[	[	X
ejpam-5944	29	20	19	19	NUM
ejpam-5944	29	21	]	]	PUNCT
ejpam-5944	29	22	.	.	PUNCT
ejpam-5944	30	1	the	the	DET
ejpam-5944	30	2	authors	author	NOUN
ejpam-5944	30	3	in	in	ADP
ejpam-5944	30	4	[	[	X
ejpam-5944	30	5	20	20	NUM
ejpam-5944	30	6	]	]	PUNCT
ejpam-5944	30	7	have	have	AUX
ejpam-5944	30	8	proposed	propose	VERB
ejpam-5944	30	9	a	a	DET
ejpam-5944	30	10	new	new	ADJ
ejpam-5944	30	11	predictorcorrector	predictorcorrector	NOUN
ejpam-5944	30	12	method	method	NOUN
ejpam-5944	30	13	and	and	CCONJ
ejpam-5944	30	14	compared	compare	VERB
ejpam-5944	30	15	the	the	DET
ejpam-5944	30	16	results	result	NOUN
ejpam-5944	30	17	with	with	ADP
ejpam-5944	30	18	the	the	DET
ejpam-5944	30	19	fractional	fractional	ADJ
ejpam-5944	30	20	adam	adam	PROPN
ejpam-5944	30	21	’s	’s	PART
ejpam-5944	30	22	method	method	NOUN
ejpam-5944	30	23	for	for	ADP
ejpam-5944	30	24	the	the	DET
ejpam-5944	30	25	nonlinear	nonlinear	ADJ
ejpam-5944	30	26	fractional	fractional	ADJ
ejpam-5944	30	27	differential	differential	ADJ
ejpam-5944	30	28	equations	equation	NOUN
ejpam-5944	30	29	.	.	PUNCT
ejpam-5944	31	1	garrapa	garrapa	VERB
ejpam-5944	31	2	[	[	X
ejpam-5944	31	3	21	21	NUM
ejpam-5944	31	4	]	]	PUNCT
ejpam-5944	31	5	has	have	AUX
ejpam-5944	31	6	discussed	discuss	VERB
ejpam-5944	31	7	the	the	DET
ejpam-5944	31	8	linear	linear	ADJ
ejpam-5944	31	9	stability	stability	NOUN
ejpam-5944	31	10	of	of	ADP
ejpam-5944	31	11	the	the	DET
ejpam-5944	31	12	predictor	predictor	NOUN
ejpam-5944	31	13	-	-	PUNCT
ejpam-5944	31	14	corrector	corrector	NOUN
ejpam-5944	31	15	algorithm	algorithm	NOUN
ejpam-5944	31	16	for	for	ADP
ejpam-5944	31	17	fractional	fractional	ADJ
ejpam-5944	31	18	differential	differential	ADJ
ejpam-5944	31	19	equations	equation	NOUN
ejpam-5944	31	20	.	.	PUNCT
ejpam-5944	32	1	odibat	odibat	NOUN
ejpam-5944	32	2	and	and	CCONJ
ejpam-5944	32	3	momani	momani	X
ejpam-5944	32	4	[	[	X
ejpam-5944	32	5	22	22	NUM
ejpam-5944	32	6	]	]	PUNCT
ejpam-5944	32	7	have	have	AUX
ejpam-5944	32	8	developed	develop	VERB
ejpam-5944	32	9	a	a	DET
ejpam-5944	32	10	new	new	ADJ
ejpam-5944	32	11	method	method	NOUN
ejpam-5944	32	12	based	base	VERB
ejpam-5944	32	13	on	on	ADP
ejpam-5944	32	14	the	the	DET
ejpam-5944	32	15	fractional	fractional	PROPN
ejpam-5944	32	16	euler	euler	PROPN
ejpam-5944	32	17	’s	’s	PART
ejpam-5944	32	18	method	method	NOUN
ejpam-5944	32	19	and	and	CCONJ
ejpam-5944	32	20	modified	modify	VERB
ejpam-5944	32	21	the	the	DET
ejpam-5944	32	22	trapezoidal	trapezoidal	ADJ
ejpam-5944	32	23	rule	rule	NOUN
ejpam-5944	32	24	by	by	ADP
ejpam-5944	32	25	utilizing	utilize	VERB
ejpam-5944	32	26	the	the	DET
ejpam-5944	32	27	generalized	generalized	ADJ
ejpam-5944	32	28	taylor	taylor	PROPN
ejpam-5944	32	29	series	series	PROPN
ejpam-5944	32	30	expansion	expansion	NOUN
ejpam-5944	32	31	.	.	PUNCT
ejpam-5944	33	1	rahimkhani	rahimkhani	PROPN
ejpam-5944	33	2	et	et	PROPN
ejpam-5944	33	3	al	al	PROPN
ejpam-5944	33	4	.	.	PUNCT
ejpam-5944	34	1	[	[	X
ejpam-5944	34	2	23	23	NUM
ejpam-5944	34	3	]	]	PUNCT
ejpam-5944	34	4	have	have	AUX
ejpam-5944	34	5	approximated	approximate	VERB
ejpam-5944	34	6	the	the	DET
ejpam-5944	34	7	solution	solution	NOUN
ejpam-5944	34	8	of	of	ADP
ejpam-5944	34	9	a	a	DET
ejpam-5944	34	10	nonlinear	nonlinear	ADJ
ejpam-5944	34	11	pantograph	pantograph	NOUN
ejpam-5944	34	12	equation	equation	NOUN
ejpam-5944	34	13	of	of	ADP
ejpam-5944	34	14	fractional	fractional	ADJ
ejpam-5944	34	15	order	order	NOUN
ejpam-5944	34	16	via	via	ADP
ejpam-5944	34	17	the	the	DET
ejpam-5944	34	18	generalized	generalize	VERB
ejpam-5944	34	19	fractional	fractional	ADJ
ejpam-5944	34	20	-	-	PUNCT
ejpam-5944	34	21	order	order	NOUN
ejpam-5944	34	22	bernoulli	bernoulli	NOUN
ejpam-5944	34	23	wavelet	wavelet	NOUN
ejpam-5944	34	24	.	.	PUNCT
ejpam-5944	35	1	in	in	ADP
ejpam-5944	35	2	[	[	X
ejpam-5944	35	3	24	24	NUM
ejpam-5944	35	4	]	]	PUNCT
ejpam-5944	35	5	the	the	DET
ejpam-5944	35	6	dynamics	dynamic	NOUN
ejpam-5944	35	7	of	of	ADP
ejpam-5944	35	8	fractional	fractional	ADJ
ejpam-5944	35	9	order	order	NOUN
ejpam-5944	35	10	model	model	NOUN
ejpam-5944	35	11	for	for	ADP
ejpam-5944	35	12	covid-19	covid-19	PROPN
ejpam-5944	35	13	have	have	AUX
ejpam-5944	35	14	been	be	AUX
ejpam-5944	35	15	investigated	investigate	VERB
ejpam-5944	35	16	via	via	ADP
ejpam-5944	35	17	an	an	DET
ejpam-5944	35	18	adaptive	adaptive	ADJ
ejpam-5944	35	19	predictor	predictor	NOUN
ejpam-5944	35	20	-	-	PUNCT
ejpam-5944	35	21	corrector	corrector	NOUN
ejpam-5944	35	22	and	and	CCONJ
ejpam-5944	35	23	fractional	fractional	ADJ
ejpam-5944	35	24	rk4	rk4	NOUN
ejpam-5944	35	25	method	method	NOUN
ejpam-5944	35	26	.	.	PUNCT
ejpam-5944	36	1	furthermore	furthermore	ADV
ejpam-5944	36	2	,	,	PUNCT
ejpam-5944	36	3	the	the	DET
ejpam-5944	36	4	logistic	logistic	ADJ
ejpam-5944	36	5	growth	growth	NOUN
ejpam-5944	36	6	model	model	NOUN
ejpam-5944	36	7	which	which	PRON
ejpam-5944	36	8	is	be	AUX
ejpam-5944	36	9	typically	typically	ADV
ejpam-5944	36	10	the	the	DET
ejpam-5944	36	11	model	model	NOUN
ejpam-5944	36	12	of	of	ADP
ejpam-5944	36	13	population	population	NOUN
ejpam-5944	36	14	growth	growth	NOUN
ejpam-5944	36	15	is	be	AUX
ejpam-5944	36	16	an	an	DET
ejpam-5944	36	17	active	active	ADJ
ejpam-5944	36	18	area	area	NOUN
ejpam-5944	36	19	for	for	ADP
ejpam-5944	36	20	the	the	DET
ejpam-5944	36	21	research	research	NOUN
ejpam-5944	36	22	community	community	NOUN
ejpam-5944	36	23	.	.	PUNCT
ejpam-5944	37	1	the	the	DET
ejpam-5944	37	2	logistic	logistic	ADJ
ejpam-5944	37	3	growth	growth	NOUN
ejpam-5944	37	4	model	model	NOUN
ejpam-5944	37	5	is	be	AUX
ejpam-5944	37	6	popular	popular	ADJ
ejpam-5944	37	7	amongst	amongst	ADP
ejpam-5944	37	8	researchers	researcher	NOUN
ejpam-5944	37	9	due	due	ADP
ejpam-5944	37	10	to	to	ADP
ejpam-5944	37	11	its	its	PRON
ejpam-5944	37	12	ability	ability	NOUN
ejpam-5944	37	13	to	to	PART
ejpam-5944	37	14	model	model	VERB
ejpam-5944	37	15	various	various	ADJ
ejpam-5944	37	16	biological	biological	ADJ
ejpam-5944	37	17	and	and	CCONJ
ejpam-5944	37	18	social	social	ADJ
ejpam-5944	37	19	phenomena	phenomenon	NOUN
ejpam-5944	37	20	.	.	PUNCT
ejpam-5944	38	1	the	the	DET
ejpam-5944	38	2	investigation	investigation	NOUN
ejpam-5944	38	3	of	of	ADP
ejpam-5944	38	4	the	the	DET
ejpam-5944	38	5	solution	solution	NOUN
ejpam-5944	38	6	of	of	ADP
ejpam-5944	38	7	the	the	DET
ejpam-5944	38	8	logistic	logistic	ADJ
ejpam-5944	38	9	growth	growth	NOUN
ejpam-5944	38	10	model	model	NOUN
ejpam-5944	38	11	has	have	AUX
ejpam-5944	38	12	been	be	AUX
ejpam-5944	38	13	considered	consider	VERB
ejpam-5944	38	14	by	by	ADP
ejpam-5944	38	15	many	many	ADJ
ejpam-5944	38	16	researchers	researcher	NOUN
ejpam-5944	38	17	.	.	PUNCT
ejpam-5944	39	1	for	for	ADP
ejpam-5944	39	2	example	example	NOUN
ejpam-5944	39	3	,	,	PUNCT
ejpam-5944	39	4	the	the	DET
ejpam-5944	39	5	authors	author	NOUN
ejpam-5944	39	6	in	in	ADP
ejpam-5944	39	7	[	[	X
ejpam-5944	39	8	25	25	NUM
ejpam-5944	39	9	]	]	PUNCT
ejpam-5944	39	10	have	have	AUX
ejpam-5944	39	11	developed	develop	VERB
ejpam-5944	39	12	a	a	DET
ejpam-5944	39	13	two	two	NUM
ejpam-5944	39	14	-	-	PUNCT
ejpam-5944	39	15	stage	stage	NOUN
ejpam-5944	39	16	runge	runge	NOUN
ejpam-5944	39	17	-	-	PUNCT
ejpam-5944	39	18	kutta	kutta	NOUN
ejpam-5944	39	19	method	method	NOUN
ejpam-5944	39	20	for	for	ADP
ejpam-5944	39	21	fractional	fractional	ADJ
ejpam-5944	39	22	logistic	logistic	ADJ
ejpam-5944	39	23	growth	growth	NOUN
ejpam-5944	39	24	model	model	NOUN
ejpam-5944	39	25	.	.	PUNCT
ejpam-5944	40	1	in	in	ADP
ejpam-5944	40	2	[	[	X
ejpam-5944	40	3	26	26	NUM
ejpam-5944	40	4	]	]	PUNCT
ejpam-5944	40	5	a	a	DET
ejpam-5944	40	6	spectral	spectral	ADJ
ejpam-5944	40	7	tau	tau	PROPN
ejpam-5944	40	8	method	method	NOUN
ejpam-5944	40	9	is	be	AUX
ejpam-5944	40	10	developed	develop	VERB
ejpam-5944	40	11	for	for	ADP
ejpam-5944	40	12	the	the	DET
ejpam-5944	40	13	solution	solution	NOUN
ejpam-5944	40	14	of	of	ADP
ejpam-5944	40	15	the	the	DET
ejpam-5944	40	16	fractional	fractional	ADJ
ejpam-5944	40	17	logistic	logistic	ADJ
ejpam-5944	40	18	growth	growth	NOUN
ejpam-5944	40	19	model	model	NOUN
ejpam-5944	40	20	.	.	PUNCT
ejpam-5944	41	1	das	das	PROPN
ejpam-5944	41	2	et	et	PROPN
ejpam-5944	41	3	al	al	PROPN
ejpam-5944	41	4	.	.	PUNCT
ejpam-5944	42	1	[	[	X
ejpam-5944	42	2	27	27	NUM
ejpam-5944	42	3	]	]	PUNCT
ejpam-5944	42	4	discussed	discuss	VERB
ejpam-5944	42	5	the	the	DET
ejpam-5944	42	6	solution	solution	NOUN
ejpam-5944	42	7	of	of	ADP
ejpam-5944	42	8	the	the	DET
ejpam-5944	42	9	logistic	logistic	ADJ
ejpam-5944	42	10	growth	growth	NOUN
ejpam-5944	42	11	model	model	NOUN
ejpam-5944	42	12	via	via	ADP
ejpam-5944	42	13	the	the	DET
ejpam-5944	42	14	homotopy	homotopy	NOUN
ejpam-5944	42	15	perturbation	perturbation	NOUN
ejpam-5944	42	16	method	method	NOUN
ejpam-5944	42	17	.	.	PUNCT
ejpam-5944	43	1	rida	rida	PROPN
ejpam-5944	43	2	et	et	PROPN
ejpam-5944	43	3	al	al	PROPN
ejpam-5944	43	4	.	.	PUNCT
ejpam-5944	44	1	[	[	X
ejpam-5944	44	2	28	28	NUM
ejpam-5944	44	3	]	]	PUNCT
ejpam-5944	44	4	have	have	AUX
ejpam-5944	44	5	discussed	discuss	VERB
ejpam-5944	44	6	the	the	DET
ejpam-5944	44	7	stability	stability	NOUN
ejpam-5944	44	8	of	of	ADP
ejpam-5944	44	9	a	a	DET
ejpam-5944	44	10	fractional	fractional	ADJ
ejpam-5944	44	11	sei	sei	ADJ
ejpam-5944	44	12	model	model	NOUN
ejpam-5944	44	13	with	with	ADP
ejpam-5944	44	14	logistic	logistic	ADJ
ejpam-5944	44	15	growth	growth	NOUN
ejpam-5944	44	16	.	.	PUNCT
ejpam-5944	45	1	other	other	ADJ
ejpam-5944	45	2	related	related	ADJ
ejpam-5944	45	3	kamran	kamran	PROPN
ejpam-5944	45	4	et	et	PROPN
ejpam-5944	45	5	al	al	PROPN
ejpam-5944	45	6	.	.	PUNCT
ejpam-5944	45	7	/	/	SYM
ejpam-5944	45	8	eur	eur	PROPN
ejpam-5944	45	9	.	.	PUNCT
ejpam-5944	46	1	j.	j.	PROPN
ejpam-5944	46	2	pure	pure	PROPN
ejpam-5944	46	3	appl	appl	PROPN
ejpam-5944	46	4	.	.	PROPN
ejpam-5944	46	5	math	math	PROPN
ejpam-5944	46	6	,	,	PUNCT
ejpam-5944	46	7	18	18	NUM
ejpam-5944	46	8	(	(	PUNCT
ejpam-5944	46	9	2	2	NUM
ejpam-5944	46	10	)	)	PUNCT
ejpam-5944	46	11	(	(	PUNCT
ejpam-5944	46	12	2025	2025	NUM
ejpam-5944	46	13	)	)	PUNCT
ejpam-5944	46	14	,	,	PUNCT
ejpam-5944	46	15	5944	5944	NUM
ejpam-5944	46	16	3	3	NUM
ejpam-5944	46	17	of	of	ADP
ejpam-5944	46	18	32	32	NUM
ejpam-5944	46	19	works	work	NOUN
ejpam-5944	46	20	on	on	ADP
ejpam-5944	46	21	fractional	fractional	ADJ
ejpam-5944	46	22	logistic	logistic	ADJ
ejpam-5944	46	23	growth	growth	NOUN
ejpam-5944	46	24	model	model	NOUN
ejpam-5944	46	25	are	be	AUX
ejpam-5944	46	26	reported	report	VERB
ejpam-5944	46	27	in	in	ADP
ejpam-5944	46	28	[	[	X
ejpam-5944	46	29	29–31	29–31	NUM
ejpam-5944	46	30	]	]	PUNCT
ejpam-5944	46	31	their	their	PRON
ejpam-5944	46	32	references	reference	NOUN
ejpam-5944	46	33	.	.	PUNCT
ejpam-5944	47	1	in	in	ADP
ejpam-5944	47	2	this	this	DET
ejpam-5944	47	3	paper	paper	NOUN
ejpam-5944	47	4	,	,	PUNCT
ejpam-5944	47	5	we	we	PRON
ejpam-5944	47	6	investigate	investigate	VERB
ejpam-5944	47	7	the	the	DET
ejpam-5944	47	8	numerical	numerical	ADJ
ejpam-5944	47	9	solutions	solution	NOUN
ejpam-5944	47	10	of	of	ADP
ejpam-5944	47	11	fractional	fractional	ADJ
ejpam-5944	47	12	logistic	logistic	ADJ
ejpam-5944	47	13	growth	growth	NOUN
ejpam-5944	47	14	models	model	NOUN
ejpam-5944	47	15	and	and	CCONJ
ejpam-5944	47	16	the	the	DET
ejpam-5944	47	17	fractional	fractional	ADJ
ejpam-5944	47	18	seir	seir	ADJ
ejpam-5944	47	19	model	model	NOUN
ejpam-5944	47	20	via	via	ADP
ejpam-5944	47	21	the	the	DET
ejpam-5944	47	22	fourth	fourth	ADJ
ejpam-5944	47	23	-	-	PUNCT
ejpam-5944	47	24	order	order	NOUN
ejpam-5944	47	25	fractional	fractional	ADJ
ejpam-5944	47	26	runge	runge	NOUN
ejpam-5944	47	27	-	-	PUNCT
ejpam-5944	47	28	kutta	kutta	NOUN
ejpam-5944	47	29	(	(	PUNCT
ejpam-5944	47	30	frk4	frk4	NOUN
ejpam-5944	47	31	)	)	PUNCT
ejpam-5944	47	32	method	method	NOUN
ejpam-5944	47	33	.	.	PUNCT
ejpam-5944	48	1	this	this	DET
ejpam-5944	48	2	study	study	NOUN
ejpam-5944	48	3	highlights	highlight	NOUN
ejpam-5944	48	4	s	s	PART
ejpam-5944	48	5	a	a	DET
ejpam-5944	48	6	modified	modify	VERB
ejpam-5944	48	7	seir	seir	NOUN
ejpam-5944	48	8	model	model	NOUN
ejpam-5944	48	9	incorporating	incorporate	VERB
ejpam-5944	48	10	logistic	logistic	ADJ
ejpam-5944	48	11	growth	growth	NOUN
ejpam-5944	48	12	to	to	PART
ejpam-5944	48	13	better	well	ADV
ejpam-5944	48	14	capture	capture	VERB
ejpam-5944	48	15	real	real	ADJ
ejpam-5944	48	16	-	-	PUNCT
ejpam-5944	48	17	world	world	NOUN
ejpam-5944	48	18	epidemic	epidemic	NOUN
ejpam-5944	48	19	dynamics	dynamic	NOUN
ejpam-5944	48	20	under	under	ADP
ejpam-5944	48	21	constrained	constrain	VERB
ejpam-5944	48	22	population	population	NOUN
ejpam-5944	48	23	environments	environment	NOUN
ejpam-5944	48	24	.	.	PUNCT
ejpam-5944	49	1	unlike	unlike	ADP
ejpam-5944	49	2	classical	classical	ADJ
ejpam-5944	49	3	models	model	NOUN
ejpam-5944	49	4	assuming	assume	VERB
ejpam-5944	49	5	unlimited	unlimited	ADJ
ejpam-5944	49	6	growth	growth	NOUN
ejpam-5944	49	7	,	,	PUNCT
ejpam-5944	49	8	the	the	DET
ejpam-5944	49	9	logistic	logistic	ADJ
ejpam-5944	49	10	approach	approach	NOUN
ejpam-5944	49	11	consider	consider	VERB
ejpam-5944	49	12	the	the	DET
ejpam-5944	49	13	saturation	saturation	NOUN
ejpam-5944	49	14	effect	effect	NOUN
ejpam-5944	49	15	due	due	ADP
ejpam-5944	49	16	to	to	ADP
ejpam-5944	49	17	limited	limited	ADJ
ejpam-5944	49	18	resources	resource	NOUN
ejpam-5944	49	19	or	or	CCONJ
ejpam-5944	49	20	interventions	intervention	NOUN
ejpam-5944	49	21	.	.	PUNCT
ejpam-5944	50	1	the	the	DET
ejpam-5944	50	2	model	model	NOUN
ejpam-5944	50	3	studies	study	VERB
ejpam-5944	50	4	the	the	DET
ejpam-5944	50	5	transitions	transition	NOUN
ejpam-5944	50	6	between	between	ADP
ejpam-5944	50	7	population	population	NOUN
ejpam-5944	50	8	compartments	compartment	NOUN
ejpam-5944	50	9	using	use	VERB
ejpam-5944	50	10	a	a	DET
ejpam-5944	50	11	system	system	NOUN
ejpam-5944	50	12	of	of	ADP
ejpam-5944	50	13	nonlinear	nonlinear	ADJ
ejpam-5944	50	14	fdes	fde	NOUN
ejpam-5944	50	15	.	.	PUNCT
ejpam-5944	51	1	numerical	numerical	ADJ
ejpam-5944	51	2	simulations	simulation	NOUN
ejpam-5944	51	3	are	be	AUX
ejpam-5944	51	4	conducted	conduct	VERB
ejpam-5944	51	5	to	to	PART
ejpam-5944	51	6	validate	validate	VERB
ejpam-5944	51	7	theoretical	theoretical	ADJ
ejpam-5944	51	8	findings	finding	NOUN
ejpam-5944	51	9	and	and	CCONJ
ejpam-5944	51	10	illustrate	illustrate	VERB
ejpam-5944	51	11	the	the	DET
ejpam-5944	51	12	impact	impact	NOUN
ejpam-5944	51	13	of	of	ADP
ejpam-5944	51	14	parameters	parameter	NOUN
ejpam-5944	51	15	such	such	ADJ
ejpam-5944	51	16	as	as	ADP
ejpam-5944	51	17	infection	infection	NOUN
ejpam-5944	51	18	rate	rate	NOUN
ejpam-5944	51	19	and	and	CCONJ
ejpam-5944	51	20	recovery	recovery	NOUN
ejpam-5944	51	21	rate	rate	NOUN
ejpam-5944	51	22	on	on	ADP
ejpam-5944	51	23	disease	disease	NOUN
ejpam-5944	51	24	transmission	transmission	NOUN
ejpam-5944	51	25	.	.	PUNCT
ejpam-5944	52	1	the	the	DET
ejpam-5944	52	2	results	result	NOUN
ejpam-5944	52	3	show	show	VERB
ejpam-5944	52	4	how	how	SCONJ
ejpam-5944	52	5	logistic	logistic	ADJ
ejpam-5944	52	6	saturation	saturation	NOUN
ejpam-5944	52	7	dampens	dampen	VERB
ejpam-5944	52	8	infection	infection	NOUN
ejpam-5944	52	9	peaks	peak	NOUN
ejpam-5944	52	10	and	and	CCONJ
ejpam-5944	52	11	stabilizes	stabilize	VERB
ejpam-5944	52	12	population	population	NOUN
ejpam-5944	52	13	dynamics	dynamic	NOUN
ejpam-5944	52	14	over	over	ADP
ejpam-5944	52	15	time	time	NOUN
ejpam-5944	52	16	.	.	PUNCT
ejpam-5944	53	1	this	this	DET
ejpam-5944	53	2	technique	technique	NOUN
ejpam-5944	53	3	suggests	suggest	VERB
ejpam-5944	53	4	a	a	DET
ejpam-5944	53	5	more	more	ADV
ejpam-5944	53	6	realistic	realistic	ADJ
ejpam-5944	53	7	framework	framework	NOUN
ejpam-5944	53	8	for	for	SCONJ
ejpam-5944	53	9	researchers	researcher	NOUN
ejpam-5944	53	10	to	to	PART
ejpam-5944	53	11	evaluate	evaluate	VERB
ejpam-5944	53	12	disease	disease	NOUN
ejpam-5944	53	13	control	control	NOUN
ejpam-5944	53	14	strategies	strategy	NOUN
ejpam-5944	53	15	,	,	PUNCT
ejpam-5944	53	16	especially	especially	ADV
ejpam-5944	53	17	in	in	ADP
ejpam-5944	53	18	densely	densely	ADV
ejpam-5944	53	19	populated	populate	VERB
ejpam-5944	53	20	areas	area	NOUN
ejpam-5944	53	21	or	or	CCONJ
ejpam-5944	53	22	during	during	ADP
ejpam-5944	53	23	longtime	longtime	ADJ
ejpam-5944	53	24	outbreaks	outbreak	NOUN
ejpam-5944	53	25	.	.	PUNCT
ejpam-5944	54	1	the	the	DET
ejpam-5944	54	2	outline	outline	NOUN
ejpam-5944	54	3	of	of	ADP
ejpam-5944	54	4	this	this	DET
ejpam-5944	54	5	paper	paper	NOUN
ejpam-5944	54	6	is	be	AUX
ejpam-5944	54	7	as	as	SCONJ
ejpam-5944	54	8	follows	follow	VERB
ejpam-5944	54	9	:	:	PUNCT
ejpam-5944	54	10	in	in	ADP
ejpam-5944	54	11	section	section	NOUN
ejpam-5944	54	12	2	2	NUM
ejpam-5944	54	13	,	,	PUNCT
ejpam-5944	54	14	some	some	DET
ejpam-5944	54	15	preliminaries	preliminary	NOUN
ejpam-5944	54	16	are	be	AUX
ejpam-5944	54	17	discussed	discuss	VERB
ejpam-5944	54	18	.	.	PUNCT
ejpam-5944	55	1	in	in	ADP
ejpam-5944	55	2	section	section	NOUN
ejpam-5944	55	3	3	3	NUM
ejpam-5944	55	4	,	,	PUNCT
ejpam-5944	55	5	the	the	DET
ejpam-5944	55	6	frk4	frk4	NOUN
ejpam-5944	55	7	method	method	NOUN
ejpam-5944	55	8	for	for	ADP
ejpam-5944	55	9	fractional	fractional	ADJ
ejpam-5944	55	10	ivp	ivp	NOUN
ejpam-5944	55	11	and	and	CCONJ
ejpam-5944	55	12	fractional	fractional	ADJ
ejpam-5944	55	13	seir	seir	NOUN
ejpam-5944	55	14	model	model	NOUN
ejpam-5944	55	15	is	be	AUX
ejpam-5944	55	16	illustrated	illustrate	VERB
ejpam-5944	55	17	.	.	PUNCT
ejpam-5944	56	1	in	in	ADP
ejpam-5944	56	2	section	section	NOUN
ejpam-5944	56	3	4	4	NUM
ejpam-5944	56	4	,	,	PUNCT
ejpam-5944	56	5	the	the	DET
ejpam-5944	56	6	method	method	NOUN
ejpam-5944	56	7	is	be	AUX
ejpam-5944	56	8	applied	apply	VERB
ejpam-5944	56	9	to	to	ADP
ejpam-5944	56	10	the	the	DET
ejpam-5944	56	11	fractional	fractional	ADJ
ejpam-5944	56	12	logistic	logistic	ADJ
ejpam-5944	56	13	growth	growth	NOUN
ejpam-5944	56	14	model	model	NOUN
ejpam-5944	56	15	and	and	CCONJ
ejpam-5944	56	16	the	the	DET
ejpam-5944	56	17	fractional	fractional	ADJ
ejpam-5944	56	18	seir	seir	ADJ
ejpam-5944	56	19	model	model	NOUN
ejpam-5944	56	20	.	.	PUNCT
ejpam-5944	57	1	in	in	ADP
ejpam-5944	57	2	section	section	NOUN
ejpam-5944	57	3	5	5	NUM
ejpam-5944	57	4	,	,	PUNCT
ejpam-5944	57	5	the	the	DET
ejpam-5944	57	6	conclusion	conclusion	NOUN
ejpam-5944	57	7	is	be	AUX
ejpam-5944	57	8	drawn	draw	VERB
ejpam-5944	57	9	.	.	PUNCT
ejpam-5944	58	1	2	2	X
ejpam-5944	58	2	.	.	X
ejpam-5944	58	3	preliminaries	preliminary	NOUN
ejpam-5944	58	4	definition	definition	NOUN
ejpam-5944	58	5	1	1	NUM
ejpam-5944	58	6	.	.	PUNCT
ejpam-5944	59	1	the	the	DET
ejpam-5944	59	2	riemann	riemann	PROPN
ejpam-5944	59	3	-	-	PUNCT
ejpam-5944	59	4	liouville	liouville	PROPN
ejpam-5944	59	5	(	(	PUNCT
ejpam-5944	59	6	rl	rl	NOUN
ejpam-5944	59	7	)	)	PUNCT
ejpam-5944	59	8	fractional	fractional	ADJ
ejpam-5944	59	9	integral	integral	ADJ
ejpam-5944	59	10	of	of	ADP
ejpam-5944	59	11	order	order	NOUN
ejpam-5944	59	12	β	β	X
ejpam-5944	59	13	>	>	X
ejpam-5944	59	14	0	0	NUM
ejpam-5944	59	15	of	of	ADP
ejpam-5944	59	16	a	a	DET
ejpam-5944	59	17	function	function	NOUN
ejpam-5944	59	18	u	u	NOUN
ejpam-5944	59	19	:	:	PUNCT
ejpam-5944	59	20	(	(	PUNCT
ejpam-5944	59	21	0	0	NUM
ejpam-5944	59	22	,	,	PUNCT
ejpam-5944	59	23	∞	∞	NUM
ejpam-5944	59	24	)	)	PUNCT
ejpam-5944	59	25	→	→	SYM
ejpam-5944	59	26	r	r	NOUN
ejpam-5944	59	27	is	be	AUX
ejpam-5944	59	28	defined	define	VERB
ejpam-5944	59	29	by	by	ADP
ejpam-5944	59	30	iβu(t	iβu(t	PROPN
ejpam-5944	59	31	)	)	PUNCT
ejpam-5944	59	32	=	=	SYM
ejpam-5944	59	33	1	1	NUM
ejpam-5944	59	34	γ(β	γ(β	PROPN
ejpam-5944	59	35	)	)	PUNCT
ejpam-5944	60	1	∫	∫	PROPN
ejpam-5944	60	2	t	t	PROPN
ejpam-5944	60	3	0	0	NUM
ejpam-5944	61	1	(	(	PUNCT
ejpam-5944	61	2	t	t	NOUN
ejpam-5944	61	3	−	−	PROPN
ejpam-5944	61	4	θ)β−1u(θ)dθ	θ)β−1u(θ)dθ	NOUN
ejpam-5944	61	5	,	,	PUNCT
ejpam-5944	61	6	(	(	PUNCT
ejpam-5944	61	7	2.1	2.1	NUM
ejpam-5944	61	8	)	)	PUNCT
ejpam-5944	61	9	where	where	SCONJ
ejpam-5944	61	10	γ	γ	X
ejpam-5944	61	11	(	(	PUNCT
ejpam-5944	61	12	·	·	PUNCT
ejpam-5944	61	13	)	)	PUNCT
ejpam-5944	61	14	,	,	PUNCT
ejpam-5944	61	15	denotes	denote	VERB
ejpam-5944	61	16	the	the	DET
ejpam-5944	61	17	gamma	gamma	PROPN
ejpam-5944	61	18	function	function	NOUN
ejpam-5944	61	19	.	.	PUNCT
ejpam-5944	62	1	definition	definition	NOUN
ejpam-5944	62	2	2	2	NUM
ejpam-5944	62	3	.	.	PUNCT
ejpam-5944	63	1	the	the	DET
ejpam-5944	63	2	rl	rl	PROPN
ejpam-5944	63	3	fractional	fractional	ADJ
ejpam-5944	63	4	derivative	derivative	NOUN
ejpam-5944	63	5	of	of	ADP
ejpam-5944	63	6	order	order	NOUN
ejpam-5944	63	7	β	β	X
ejpam-5944	63	8	>	>	X
ejpam-5944	63	9	0	0	NUM
ejpam-5944	63	10	of	of	ADP
ejpam-5944	63	11	a	a	DET
ejpam-5944	63	12	function	function	NOUN
ejpam-5944	63	13	u	u	NOUN
ejpam-5944	63	14	:	:	PUNCT
ejpam-5944	63	15	(	(	PUNCT
ejpam-5944	63	16	0	0	NUM
ejpam-5944	63	17	,	,	PUNCT
ejpam-5944	63	18	∞	∞	NUM
ejpam-5944	63	19	)	)	PUNCT
ejpam-5944	63	20	→	→	SYM
ejpam-5944	63	21	r	r	NOUN
ejpam-5944	63	22	is	be	AUX
ejpam-5944	63	23	defined	define	VERB
ejpam-5944	63	24	by	by	ADP
ejpam-5944	63	25	dβu(t	dβu(t	NOUN
ejpam-5944	63	26	)	)	PUNCT
ejpam-5944	63	27	=	=	PUNCT
ejpam-5944	64	1	dm	dm	PRON
ejpam-5944	64	2	dtm	dtm	PROPN
ejpam-5944	64	3	(	(	PUNCT
ejpam-5944	64	4	1	1	NUM
ejpam-5944	64	5	γ(m	γ(m	PROPN
ejpam-5944	64	6	−	−	PART
ejpam-5944	64	7	β	β	SYM
ejpam-5944	64	8	)	)	PUNCT
ejpam-5944	64	9	∫	∫	PROPN
ejpam-5944	64	10	t	t	PROPN
ejpam-5944	64	11	0	0	NUM
ejpam-5944	65	1	(	(	PUNCT
ejpam-5944	65	2	t	t	NOUN
ejpam-5944	65	3	−	−	PROPN
ejpam-5944	65	4	θ)m−β−1u(θ)dθ	θ)m−β−1u(θ)dθ	NOUN
ejpam-5944	65	5	)	)	PUNCT
ejpam-5944	65	6	,	,	PUNCT
ejpam-5944	65	7	(	(	PUNCT
ejpam-5944	65	8	2.2	2.2	NUM
ejpam-5944	65	9	)	)	PUNCT
ejpam-5944	65	10	where	where	SCONJ
ejpam-5944	65	11	m	m	VERB
ejpam-5944	65	12	=	=	PUNCT
ejpam-5944	66	1	[	[	X
ejpam-5944	66	2	β	β	X
ejpam-5944	66	3	]	]	X
ejpam-5944	66	4	+	+	CCONJ
ejpam-5944	66	5	1	1	NUM
ejpam-5944	66	6	,	,	PUNCT
ejpam-5944	66	7	[	[	X
ejpam-5944	66	8	·	·	PUNCT
ejpam-5944	66	9	]	]	X
ejpam-5944	66	10	denotes	denote	VERB
ejpam-5944	66	11	the	the	DET
ejpam-5944	66	12	integer	integer	NOUN
ejpam-5944	66	13	function	function	NOUN
ejpam-5944	66	14	.	.	PUNCT
ejpam-5944	67	1	definition	definition	NOUN
ejpam-5944	67	2	3	3	NUM
ejpam-5944	67	3	.	.	PUNCT
ejpam-5944	68	1	the	the	DET
ejpam-5944	68	2	caputo	caputo	PROPN
ejpam-5944	68	3	fractional	fractional	PROPN
ejpam-5944	68	4	derivative	derivative	NOUN
ejpam-5944	68	5	of	of	ADP
ejpam-5944	68	6	order	order	NOUN
ejpam-5944	68	7	β	β	X
ejpam-5944	68	8	>	>	X
ejpam-5944	68	9	0	0	NUM
ejpam-5944	68	10	of	of	ADP
ejpam-5944	68	11	a	a	DET
ejpam-5944	68	12	function	function	NOUN
ejpam-5944	68	13	u	u	NOUN
ejpam-5944	68	14	:	:	PUNCT
ejpam-5944	68	15	(	(	PUNCT
ejpam-5944	68	16	0	0	NUM
ejpam-5944	68	17	,	,	PUNCT
ejpam-5944	68	18	∞	∞	NUM
ejpam-5944	68	19	)	)	PUNCT
ejpam-5944	68	20	→	→	SYM
ejpam-5944	68	21	r	r	NOUN
ejpam-5944	68	22	is	be	AUX
ejpam-5944	68	23	defined	define	VERB
ejpam-5944	68	24	by	by	ADP
ejpam-5944	68	25	dβu(t	dβu(t	NOUN
ejpam-5944	68	26	)	)	PUNCT
ejpam-5944	68	27	=	=	PUNCT
ejpam-5944	69	1	1	1	NUM
ejpam-5944	69	2	γ(m	γ(m	PROPN
ejpam-5944	69	3	−	−	PART
ejpam-5944	69	4	β	β	SYM
ejpam-5944	69	5	)	)	PUNCT
ejpam-5944	69	6	∫	∫	PROPN
ejpam-5944	69	7	t	t	PROPN
ejpam-5944	69	8	0	0	NUM
ejpam-5944	69	9	(	(	PUNCT
ejpam-5944	69	10	t	t	PROPN
ejpam-5944	69	11	−	−	PROPN
ejpam-5944	69	12	θ)m−β−1	θ)m−β−1	PROPN
ejpam-5944	69	13	dmu	dmu	PROPN
ejpam-5944	69	14	dtm	dtm	PROPN
ejpam-5944	69	15	(	(	PUNCT
ejpam-5944	69	16	θ)dθ	θ)dθ	PROPN
ejpam-5944	69	17	,	,	PUNCT
ejpam-5944	69	18	(	(	PUNCT
ejpam-5944	69	19	2.3	2.3	NUM
ejpam-5944	69	20	)	)	PUNCT
ejpam-5944	69	21	where	where	SCONJ
ejpam-5944	69	22	m	m	VERB
ejpam-5944	69	23	=	=	PUNCT
ejpam-5944	70	1	[	[	X
ejpam-5944	70	2	β	β	X
ejpam-5944	70	3	]	]	X
ejpam-5944	70	4	+	+	CCONJ
ejpam-5944	70	5	1	1	NUM
ejpam-5944	70	6	,	,	PUNCT
ejpam-5944	70	7	[	[	X
ejpam-5944	70	8	·	·	PUNCT
ejpam-5944	70	9	]	]	X
ejpam-5944	70	10	denotes	denote	VERB
ejpam-5944	70	11	the	the	DET
ejpam-5944	70	12	integer	integer	NOUN
ejpam-5944	70	13	function	function	NOUN
ejpam-5944	70	14	.	.	PUNCT
ejpam-5944	71	1	here	here	ADV
ejpam-5944	71	2	we	we	PRON
ejpam-5944	71	3	present	present	VERB
ejpam-5944	71	4	some	some	DET
ejpam-5944	71	5	theorems	theorem	NOUN
ejpam-5944	71	6	for	for	ADP
ejpam-5944	71	7	the	the	DET
ejpam-5944	71	8	existence	existence	NOUN
ejpam-5944	71	9	of	of	ADP
ejpam-5944	71	10	a	a	DET
ejpam-5944	71	11	unique	unique	ADJ
ejpam-5944	71	12	solution	solution	NOUN
ejpam-5944	71	13	for	for	ADP
ejpam-5944	71	14	the	the	DET
ejpam-5944	71	15	ivp	ivp	NOUN
ejpam-5944	71	16	considered	consider	VERB
ejpam-5944	71	17	in	in	ADP
ejpam-5944	71	18	this	this	DET
ejpam-5944	71	19	work	work	NOUN
ejpam-5944	71	20	.	.	PUNCT
ejpam-5944	72	1	theorem	theorem	NOUN
ejpam-5944	72	2	1	1	NUM
ejpam-5944	72	3	.	.	PUNCT
ejpam-5944	73	1	[	[	X
ejpam-5944	73	2	32	32	NUM
ejpam-5944	73	3	]	]	PUNCT
ejpam-5944	73	4	assume	assume	VERB
ejpam-5944	73	5	f	f	PROPN
ejpam-5944	73	6	∈	∈	PROPN
ejpam-5944	73	7	c[r0	c[r0	NOUN
ejpam-5944	73	8	,	,	PUNCT
ejpam-5944	73	9	r	r	X
ejpam-5944	73	10	]	]	X
ejpam-5944	73	11	where	where	SCONJ
ejpam-5944	73	12	r0	r0	NOUN
ejpam-5944	73	13	=	=	PUNCT
ejpam-5944	74	1	[	[	X
ejpam-5944	74	2	(	(	PUNCT
ejpam-5944	74	3	t	t	PROPN
ejpam-5944	74	4	,	,	PUNCT
ejpam-5944	74	5	u	u	NOUN
ejpam-5944	74	6	:	:	PUNCT
ejpam-5944	74	7	0	0	NUM
ejpam-5944	74	8	<	<	X
ejpam-5944	74	9	t	t	X
ejpam-5944	74	10	<	<	X
ejpam-5944	74	11	a	a	PRON
ejpam-5944	74	12	and	and	CCONJ
ejpam-5944	74	13	|u	|u	ADJ
ejpam-5944	74	14	−	−	PROPN
ejpam-5944	74	15	u0|	u0|	PROPN
ejpam-5944	74	16	≤	≤	NUM
ejpam-5944	74	17	b	b	NOUN
ejpam-5944	74	18	)	)	PUNCT
ejpam-5944	74	19	]	]	PUNCT
ejpam-5944	74	20	and	and	CCONJ
ejpam-5944	74	21	let	let	VERB
ejpam-5944	74	22	|f(t	|f(t	NOUN
ejpam-5944	74	23	,	,	PUNCT
ejpam-5944	74	24	u)|	u)|	NOUN
ejpam-5944	74	25	≤	≤	NOUN
ejpam-5944	74	26	m	m	VERB
ejpam-5944	74	27	on	on	ADP
ejpam-5944	74	28	r0	r0	NOUN
ejpam-5944	74	29	.	.	PUNCT
ejpam-5944	75	1	then	then	ADV
ejpam-5944	75	2	there	there	PRON
ejpam-5944	75	3	exists	exist	VERB
ejpam-5944	75	4	at	at	ADP
ejpam-5944	75	5	least	least	ADV
ejpam-5944	75	6	one	one	NUM
ejpam-5944	75	7	solution	solution	NOUN
ejpam-5944	75	8	to	to	ADP
ejpam-5944	75	9	the	the	DET
ejpam-5944	75	10	problem	problem	NOUN
ejpam-5944	75	11	c	c	PROPN
ejpam-5944	75	12	0dβ	0dβ	PROPN
ejpam-5944	75	13	t	t	PROPN
ejpam-5944	75	14	u(t	u(t	PROPN
ejpam-5944	75	15	)	)	PUNCT
ejpam-5944	75	16	=	=	SYM
ejpam-5944	75	17	f	f	PROPN
ejpam-5944	75	18	(	(	PUNCT
ejpam-5944	75	19	t	t	PROPN
ejpam-5944	75	20	,	,	PUNCT
ejpam-5944	75	21	u(t	u(t	NOUN
ejpam-5944	75	22	)	)	PUNCT
ejpam-5944	75	23	)	)	PUNCT
ejpam-5944	75	24	,	,	PUNCT
ejpam-5944	75	25	u(t0	u(t0	NOUN
ejpam-5944	75	26	)	)	PUNCT
ejpam-5944	75	27	=	=	SYM
ejpam-5944	76	1	u0	u0	ADJ
ejpam-5944	76	2	,	,	PUNCT
ejpam-5944	76	3	0	0	PUNCT
ejpam-5944	76	4	<	<	X
ejpam-5944	76	5	β	β	X
ejpam-5944	76	6	≤	≤	NUM
ejpam-5944	76	7	1	1	NUM
ejpam-5944	76	8	,	,	PUNCT
ejpam-5944	76	9	0	0	NUM
ejpam-5944	76	10	≤	≤	NUM
ejpam-5944	76	11	t	t	PROPN
ejpam-5944	76	12	≤	≤	PROPN
ejpam-5944	76	13	η	η	PROPN
ejpam-5944	76	14	,	,	PUNCT
ejpam-5944	76	15	(	(	PUNCT
ejpam-5944	76	16	2.4	2.4	NUM
ejpam-5944	76	17	)	)	PUNCT
ejpam-5944	76	18	kamran	kamran	PROPN
ejpam-5944	76	19	et	et	PROPN
ejpam-5944	76	20	al	al	PROPN
ejpam-5944	76	21	.	.	PUNCT
ejpam-5944	76	22	/	/	SYM
ejpam-5944	76	23	eur	eur	PROPN
ejpam-5944	76	24	.	.	PUNCT
ejpam-5944	77	1	j.	j.	PROPN
ejpam-5944	77	2	pure	pure	PROPN
ejpam-5944	77	3	appl	appl	PROPN
ejpam-5944	77	4	.	.	PROPN
ejpam-5944	77	5	math	math	PROPN
ejpam-5944	77	6	,	,	PUNCT
ejpam-5944	77	7	18	18	NUM
ejpam-5944	77	8	(	(	PUNCT
ejpam-5944	77	9	2	2	NUM
ejpam-5944	77	10	)	)	PUNCT
ejpam-5944	77	11	(	(	PUNCT
ejpam-5944	77	12	2025	2025	NUM
ejpam-5944	77	13	)	)	PUNCT
ejpam-5944	77	14	,	,	PUNCT
ejpam-5944	77	15	5944	5944	NUM
ejpam-5944	77	16	4	4	NUM
ejpam-5944	77	17	of	of	ADP
ejpam-5944	77	18	32	32	NUM
ejpam-5944	78	1	where	where	SCONJ
ejpam-5944	78	2	η	η	PROPN
ejpam-5944	78	3	=	=	SYM
ejpam-5944	78	4	min	min	PROPN
ejpam-5944	78	5	(	(	PUNCT
ejpam-5944	78	6	a	a	X
ejpam-5944	78	7	,	,	PUNCT
ejpam-5944	78	8	[	[	PUNCT
ejpam-5944	78	9	b	b	NOUN
ejpam-5944	78	10	m	m	VERB
ejpam-5944	78	11	γ(β	γ(β	PROPN
ejpam-5944	78	12	+	+	CCONJ
ejpam-5944	78	13	1	1	NUM
ejpam-5944	78	14	)	)	PUNCT
ejpam-5944	78	15	]	]	PUNCT
ejpam-5944	78	16	1	1	NUM
ejpam-5944	78	17	β	β	X
ejpam-5944	78	18	)	)	PUNCT
ejpam-5944	78	19	theorem	theorem	VERB
ejpam-5944	78	20	2	2	NUM
ejpam-5944	78	21	.	.	PUNCT
ejpam-5944	79	1	[	[	X
ejpam-5944	79	2	33	33	NUM
ejpam-5944	79	3	]	]	PUNCT
ejpam-5944	79	4	consider	consider	VERB
ejpam-5944	79	5	the	the	DET
ejpam-5944	79	6	problem	problem	NOUN
ejpam-5944	79	7	(	(	PUNCT
ejpam-5944	79	8	2.4	2.4	NUM
ejpam-5944	79	9	)	)	PUNCT
ejpam-5944	79	10	.	.	PUNCT
ejpam-5944	80	1	let	let	VERB
ejpam-5944	80	2	h(µ	h(µ	PROPN
ejpam-5944	80	3	,	,	PUNCT
ejpam-5944	80	4	u∗(µ	u∗(µ	PROPN
ejpam-5944	80	5	)	)	PUNCT
ejpam-5944	80	6	)	)	PUNCT
ejpam-5944	81	1	=	=	PRON
ejpam-5944	81	2	f(t	f(t	PROPN
ejpam-5944	81	3	−	−	PROPN
ejpam-5944	81	4	(	(	PUNCT
ejpam-5944	81	5	tβ	tβ	NOUN
ejpam-5944	81	6	−	−	NOUN
ejpam-5944	81	7	µγ(β	µγ(β	NOUN
ejpam-5944	81	8	+	+	X
ejpam-5944	81	9	1	1	NUM
ejpam-5944	81	10	)	)	PUNCT
ejpam-5944	81	11	)	)	PUNCT
ejpam-5944	81	12	1	1	NUM
ejpam-5944	81	13	β	β	X
ejpam-5944	81	14	,	,	PUNCT
ejpam-5944	81	15	u(t	u(t	PROPN
ejpam-5944	81	16	−	−	PROPN
ejpam-5944	81	17	(	(	PUNCT
ejpam-5944	81	18	tβ	tβ	NOUN
ejpam-5944	81	19	−	−	NOUN
ejpam-5944	81	20	µγ(β	µγ(β	NOUN
ejpam-5944	81	21	+	+	X
ejpam-5944	81	22	1	1	NUM
ejpam-5944	81	23	)	)	PUNCT
ejpam-5944	81	24	)	)	PUNCT
ejpam-5944	81	25	1	1	NUM
ejpam-5944	81	26	β	β	NOUN
ejpam-5944	81	27	)	)	PUNCT
ejpam-5944	81	28	)	)	PUNCT
ejpam-5944	82	1	and	and	CCONJ
ejpam-5944	82	2	assume	assume	VERB
ejpam-5944	82	3	that	that	SCONJ
ejpam-5944	82	4	the	the	DET
ejpam-5944	82	5	conditions	condition	NOUN
ejpam-5944	82	6	of	of	ADP
ejpam-5944	82	7	theorem	theorem	ADJ
ejpam-5944	82	8	2.1	2.1	NUM
ejpam-5944	82	9	hold	hold	NOUN
ejpam-5944	82	10	.	.	PUNCT
ejpam-5944	83	1	then	then	ADV
ejpam-5944	83	2	,	,	PUNCT
ejpam-5944	83	3	a	a	DET
ejpam-5944	83	4	solution	solution	NOUN
ejpam-5944	83	5	u(t	u(t	NOUN
ejpam-5944	83	6	)	)	PUNCT
ejpam-5944	83	7	of	of	ADP
ejpam-5944	83	8	(	(	PUNCT
ejpam-5944	83	9	2.4	2.4	NUM
ejpam-5944	83	10	)	)	PUNCT
ejpam-5944	83	11	is	be	AUX
ejpam-5944	83	12	given	give	VERB
ejpam-5944	83	13	by	by	ADP
ejpam-5944	83	14	u(t	u(t	NOUN
ejpam-5944	83	15	)	)	PUNCT
ejpam-5944	84	1	=	=	PUNCT
ejpam-5944	84	2	u∗	u∗	PROPN
ejpam-5944	84	3	(	(	PUNCT
ejpam-5944	84	4	tβ	tβ	NOUN
ejpam-5944	84	5	γ(β	γ(β	PROPN
ejpam-5944	84	6	+	+	CCONJ
ejpam-5944	84	7	1	1	NUM
ejpam-5944	84	8	)	)	PUNCT
ejpam-5944	84	9	)	)	PUNCT
ejpam-5944	84	10	,	,	PUNCT
ejpam-5944	84	11	where	where	SCONJ
ejpam-5944	84	12	u∗(µ	u∗(µ	PROPN
ejpam-5944	84	13	)	)	PUNCT
ejpam-5944	84	14	is	be	AUX
ejpam-5944	84	15	the	the	DET
ejpam-5944	84	16	solution	solution	NOUN
ejpam-5944	84	17	of	of	ADP
ejpam-5944	84	18	the	the	DET
ejpam-5944	84	19	integer	integer	NOUN
ejpam-5944	84	20	order	order	NOUN
ejpam-5944	84	21	problem	problem	NOUN
ejpam-5944	84	22	du∗(µ	du∗(µ	PROPN
ejpam-5944	84	23	)	)	PUNCT
ejpam-5944	84	24	dµ	dµ	PROPN
ejpam-5944	84	25	=	=	SYM
ejpam-5944	84	26	h(µ	h(µ	PROPN
ejpam-5944	84	27	,	,	PUNCT
ejpam-5944	84	28	u∗(µ	u∗(µ	PROPN
ejpam-5944	84	29	)	)	PUNCT
ejpam-5944	84	30	)	)	PUNCT
ejpam-5944	84	31	,	,	PUNCT
ejpam-5944	84	32	with	with	ADP
ejpam-5944	84	33	the	the	DET
ejpam-5944	84	34	initial	initial	ADJ
ejpam-5944	84	35	condition	condition	NOUN
ejpam-5944	84	36	u∗(0	u∗(0	X
ejpam-5944	84	37	)	)	PUNCT
ejpam-5944	84	38	=	=	SYM
ejpam-5944	85	1	u0	u0	VERB
ejpam-5944	85	2	the	the	DET
ejpam-5944	85	3	generalization	generalization	NOUN
ejpam-5944	85	4	of	of	ADP
ejpam-5944	85	5	the	the	DET
ejpam-5944	85	6	above	above	ADJ
ejpam-5944	85	7	theorems	theorem	NOUN
ejpam-5944	85	8	1	1	NUM
ejpam-5944	85	9	and	and	CCONJ
ejpam-5944	85	10	2	2	NUM
ejpam-5944	85	11	for	for	ADP
ejpam-5944	85	12	the	the	DET
ejpam-5944	85	13	system	system	NOUN
ejpam-5944	85	14	of	of	ADP
ejpam-5944	85	15	fractional	fractional	ADJ
ejpam-5944	85	16	order	order	NOUN
ejpam-5944	85	17	differential	differential	ADJ
ejpam-5944	85	18	equations	equation	NOUN
ejpam-5944	85	19	is	be	AUX
ejpam-5944	85	20	given	give	VERB
ejpam-5944	85	21	by	by	ADP
ejpam-5944	85	22	theorem	theorem	NOUN
ejpam-5944	85	23	3	3	NUM
ejpam-5944	85	24	.	.	PUNCT
ejpam-5944	86	1	[	[	X
ejpam-5944	86	2	33	33	NUM
ejpam-5944	86	3	]	]	PUNCT
ejpam-5944	86	4	let	let	VERB
ejpam-5944	86	5	∥	∥	X
ejpam-5944	86	6	·	·	PUNCT
ejpam-5944	86	7	∥	∥	PRON
ejpam-5944	86	8	be	be	VERB
ejpam-5944	86	9	any	any	DET
ejpam-5944	86	10	norm	norm	NOUN
ejpam-5944	86	11	defined	define	VERB
ejpam-5944	86	12	on	on	ADP
ejpam-5944	86	13	rn	rn	PROPN
ejpam-5944	86	14	.	.	PROPN
ejpam-5944	87	1	let	let	VERB
ejpam-5944	87	2	f	f	PRON
ejpam-5944	87	3	∈	∈	PROPN
ejpam-5944	87	4	c[r1,rn	c[r1,rn	VERB
ejpam-5944	87	5	]	]	X
ejpam-5944	87	6	,	,	PUNCT
ejpam-5944	87	7	where	where	SCONJ
ejpam-5944	87	8	r1	r1	PROPN
ejpam-5944	87	9	=	=	PUNCT
ejpam-5944	88	1	[	[	X
ejpam-5944	88	2	(	(	PUNCT
ejpam-5944	88	3	t	t	PROPN
ejpam-5944	88	4	,	,	PUNCT
ejpam-5944	88	5	u	u	NOUN
ejpam-5944	88	6	)	)	PUNCT
ejpam-5944	88	7	:	:	PUNCT
ejpam-5944	88	8	0	0	NUM
ejpam-5944	88	9	≤	≤	NUM
ejpam-5944	88	10	t	t	X
ejpam-5944	88	11	≤	≤	NOUN
ejpam-5944	88	12	a	a	DET
ejpam-5944	88	13	and∥u	and∥u	PROPN
ejpam-5944	88	14	−	−	X
ejpam-5944	88	15	u0∥	u0∥	PROPN
ejpam-5944	88	16	≤	≤	PROPN
ejpam-5944	88	17	b	b	PROPN
ejpam-5944	88	18	,	,	PUNCT
ejpam-5944	88	19	f	f	PROPN
ejpam-5944	88	20	=	=	PRON
ejpam-5944	88	21	(	(	PUNCT
ejpam-5944	88	22	f1	f1	PROPN
ejpam-5944	88	23	,	,	PUNCT
ejpam-5944	88	24	f2	f2	PROPN
ejpam-5944	88	25	,	,	PUNCT
ejpam-5944	88	26	...	...	PUNCT
ejpam-5944	88	27	,	,	PUNCT
ejpam-5944	88	28	fn)t	fn)t	PROPN
ejpam-5944	88	29	,	,	PUNCT
ejpam-5944	88	30	u	u	NOUN
ejpam-5944	88	31	=	=	SYM
ejpam-5944	88	32	(	(	PUNCT
ejpam-5944	88	33	q1	q1	PROPN
ejpam-5944	88	34	,	,	PUNCT
ejpam-5944	88	35	q2	q2	NOUN
ejpam-5944	88	36	,	,	PUNCT
ejpam-5944	88	37	...	...	PUNCT
ejpam-5944	88	38	,	,	PUNCT
ejpam-5944	88	39	qn)t	qn)t	PROPN
ejpam-5944	88	40	,	,	PUNCT
ejpam-5944	88	41	and	and	CCONJ
ejpam-5944	88	42	let	let	VERB
ejpam-5944	88	43	∥f(t	∥f(t	NOUN
ejpam-5944	88	44	,	,	PUNCT
ejpam-5944	88	45	u)∥	u)∥	DET
ejpam-5944	88	46	≤	≤	NOUN
ejpam-5944	88	47	m	m	PROPN
ejpam-5944	88	48	,	,	PUNCT
ejpam-5944	88	49	r1	r1	PROPN
ejpam-5944	88	50	.	.	PUNCT
ejpam-5944	89	1	then	then	ADV
ejpam-5944	89	2	,	,	PUNCT
ejpam-5944	89	3	there	there	PRON
ejpam-5944	89	4	exists	exist	VERB
ejpam-5944	89	5	at	at	ADP
ejpam-5944	89	6	least	least	ADV
ejpam-5944	89	7	one	one	NUM
ejpam-5944	89	8	solution	solution	NOUN
ejpam-5944	89	9	for	for	ADP
ejpam-5944	89	10	the	the	DET
ejpam-5944	89	11	system	system	NOUN
ejpam-5944	89	12	of	of	ADP
ejpam-5944	89	13	fractional	fractional	ADJ
ejpam-5944	89	14	differential	differential	ADJ
ejpam-5944	89	15	equations	equation	NOUN
ejpam-5944	89	16	given	give	VERB
ejpam-5944	89	17	by	by	ADP
ejpam-5944	89	18	c	c	PROPN
ejpam-5944	89	19	0dβ	0dβ	PROPN
ejpam-5944	89	20	t	t	PROPN
ejpam-5944	89	21	u(t	u(t	PROPN
ejpam-5944	89	22	)	)	PUNCT
ejpam-5944	89	23	=	=	SYM
ejpam-5944	89	24	f	f	PROPN
ejpam-5944	89	25	(	(	PUNCT
ejpam-5944	89	26	t	t	PROPN
ejpam-5944	89	27	,	,	PUNCT
ejpam-5944	89	28	u(t	u(t	NOUN
ejpam-5944	89	29	)	)	PUNCT
ejpam-5944	89	30	)	)	PUNCT
ejpam-5944	89	31	,	,	PUNCT
ejpam-5944	89	32	u(t0	u(t0	NOUN
ejpam-5944	89	33	)	)	PUNCT
ejpam-5944	89	34	=	=	SYM
ejpam-5944	90	1	u0	u0	ADJ
ejpam-5944	90	2	,	,	PUNCT
ejpam-5944	90	3	0	0	PUNCT
ejpam-5944	90	4	<	<	X
ejpam-5944	90	5	β	β	X
ejpam-5944	90	6	≤	≤	NUM
ejpam-5944	90	7	1	1	NUM
ejpam-5944	90	8	,	,	PUNCT
ejpam-5944	90	9	(	(	PUNCT
ejpam-5944	90	10	2.5	2.5	NUM
ejpam-5944	90	11	)	)	PUNCT
ejpam-5944	90	12	with	with	ADP
ejpam-5944	90	13	the	the	DET
ejpam-5944	90	14	initial	initial	ADJ
ejpam-5944	90	15	condition	condition	NOUN
ejpam-5944	90	16	u(0	u(0	NOUN
ejpam-5944	90	17	)	)	PUNCT
ejpam-5944	90	18	=	=	PUNCT
ejpam-5944	91	1	u0	u0	ADJ
ejpam-5944	91	2	on	on	ADP
ejpam-5944	91	3	0	0	NUM
ejpam-5944	91	4	≤	≤	NUM
ejpam-5944	91	5	t	t	PROPN
ejpam-5944	91	6	≤	≤	PROPN
ejpam-5944	91	7	δ	δ	PROPN
ejpam-5944	91	8	,	,	PUNCT
ejpam-5944	91	9	δ	δ	PROPN
ejpam-5944	91	10	=	=	SYM
ejpam-5944	91	11	min	min	PROPN
ejpam-5944	91	12	(	(	PUNCT
ejpam-5944	91	13	a	a	X
ejpam-5944	91	14	,	,	PUNCT
ejpam-5944	91	15	[	[	PUNCT
ejpam-5944	91	16	b	b	NOUN
ejpam-5944	91	17	m	m	VERB
ejpam-5944	91	18	γ(β	γ(β	PROPN
ejpam-5944	91	19	+	+	CCONJ
ejpam-5944	91	20	1	1	NUM
ejpam-5944	91	21	)	)	PUNCT
ejpam-5944	91	22	]	]	PUNCT
ejpam-5944	91	23	1	1	NUM
ejpam-5944	91	24	β	β	X
ejpam-5944	91	25	)	)	PUNCT
ejpam-5944	91	26	.	.	PUNCT
ejpam-5944	92	1	3	3	X
ejpam-5944	92	2	.	.	X
ejpam-5944	92	3	fractional	fractional	ADJ
ejpam-5944	92	4	runge	runge	NOUN
ejpam-5944	92	5	-	-	PUNCT
ejpam-5944	92	6	kutta	kutta	NOUN
ejpam-5944	92	7	method	method	NOUN
ejpam-5944	92	8	of	of	ADP
ejpam-5944	92	9	order	order	NOUN
ejpam-5944	92	10	four	four	NUM
ejpam-5944	92	11	the	the	DET
ejpam-5944	92	12	fractional	fractional	ADJ
ejpam-5944	92	13	runge	runge	NOUN
ejpam-5944	92	14	-	-	PUNCT
ejpam-5944	92	15	kutta	kutta	NOUN
ejpam-5944	92	16	method	method	NOUN
ejpam-5944	92	17	of	of	ADP
ejpam-5944	92	18	order	order	NOUN
ejpam-5944	92	19	four	four	NUM
ejpam-5944	92	20	(	(	PUNCT
ejpam-5944	92	21	frk4	frk4	NOUN
ejpam-5944	92	22	)	)	PUNCT
ejpam-5944	92	23	is	be	AUX
ejpam-5944	92	24	a	a	DET
ejpam-5944	92	25	numerical	numerical	ADJ
ejpam-5944	92	26	method	method	NOUN
ejpam-5944	92	27	designed	design	VERB
ejpam-5944	92	28	to	to	PART
ejpam-5944	92	29	solve	solve	VERB
ejpam-5944	92	30	fractional	fractional	ADJ
ejpam-5944	92	31	differential	differential	ADJ
ejpam-5944	92	32	equations	equation	NOUN
ejpam-5944	92	33	(	(	PUNCT
ejpam-5944	92	34	fdes	fde	NOUN
ejpam-5944	92	35	)	)	PUNCT
ejpam-5944	92	36	,	,	PUNCT
ejpam-5944	92	37	extending	extend	VERB
ejpam-5944	92	38	the	the	DET
ejpam-5944	92	39	classical	classical	ADJ
ejpam-5944	92	40	rungekutta	rungekutta	NOUN
ejpam-5944	92	41	method	method	NOUN
ejpam-5944	92	42	of	of	ADP
ejpam-5944	92	43	order	order	NOUN
ejpam-5944	92	44	four	four	NUM
ejpam-5944	92	45	to	to	PART
ejpam-5944	92	46	handle	handle	VERB
ejpam-5944	92	47	fractional	fractional	ADJ
ejpam-5944	92	48	derivatives	derivative	NOUN
ejpam-5944	92	49	,	,	PUNCT
ejpam-5944	92	50	such	such	ADJ
ejpam-5944	92	51	as	as	ADP
ejpam-5944	92	52	those	those	PRON
ejpam-5944	92	53	defined	define	VERB
ejpam-5944	92	54	in	in	ADP
ejpam-5944	92	55	the	the	DET
ejpam-5944	92	56	riemann	riemann	PROPN
ejpam-5944	92	57	-	-	PUNCT
ejpam-5944	92	58	liouville	liouville	PROPN
ejpam-5944	92	59	or	or	CCONJ
ejpam-5944	92	60	caputo	caputo	PROPN
ejpam-5944	92	61	sense	sense	NOUN
ejpam-5944	92	62	.	.	PUNCT
ejpam-5944	93	1	fractional	fractional	ADJ
ejpam-5944	93	2	derivatives	derivative	NOUN
ejpam-5944	93	3	,	,	PUNCT
ejpam-5944	93	4	which	which	PRON
ejpam-5944	93	5	generalize	generalize	VERB
ejpam-5944	93	6	differentiation	differentiation	NOUN
ejpam-5944	93	7	to	to	ADP
ejpam-5944	93	8	non	non	ADJ
ejpam-5944	93	9	-	-	ADJ
ejpam-5944	93	10	integer	integer	ADJ
ejpam-5944	93	11	orders	order	NOUN
ejpam-5944	93	12	,	,	PUNCT
ejpam-5944	93	13	are	be	AUX
ejpam-5944	93	14	powerful	powerful	ADJ
ejpam-5944	93	15	tools	tool	NOUN
ejpam-5944	93	16	for	for	ADP
ejpam-5944	93	17	modeling	model	VERB
ejpam-5944	93	18	complex	complex	ADJ
ejpam-5944	93	19	systems	system	NOUN
ejpam-5944	93	20	with	with	ADP
ejpam-5944	93	21	memory	memory	NOUN
ejpam-5944	93	22	effects	effect	NOUN
ejpam-5944	93	23	,	,	PUNCT
ejpam-5944	93	24	such	such	ADJ
ejpam-5944	93	25	as	as	ADP
ejpam-5944	93	26	epidemiological	epidemiological	ADJ
ejpam-5944	93	27	models	model	NOUN
ejpam-5944	93	28	,	,	PUNCT
ejpam-5944	93	29	viscoelastic	viscoelastic	ADJ
ejpam-5944	93	30	materials	material	NOUN
ejpam-5944	93	31	,	,	PUNCT
ejpam-5944	93	32	and	and	CCONJ
ejpam-5944	93	33	anomalous	anomalous	ADJ
ejpam-5944	93	34	diffusion	diffusion	NOUN
ejpam-5944	93	35	processes	process	NOUN
ejpam-5944	93	36	.	.	PUNCT
ejpam-5944	94	1	the	the	DET
ejpam-5944	94	2	frk4	frk4	NOUN
ejpam-5944	94	3	method	method	NOUN
ejpam-5944	94	4	is	be	AUX
ejpam-5944	94	5	particularly	particularly	ADV
ejpam-5944	94	6	effective	effective	ADJ
ejpam-5944	94	7	for	for	ADP
ejpam-5944	94	8	fdes	fde	NOUN
ejpam-5944	94	9	because	because	SCONJ
ejpam-5944	94	10	it	it	PRON
ejpam-5944	94	11	achieves	achieve	VERB
ejpam-5944	94	12	high	high	ADJ
ejpam-5944	94	13	accuracy	accuracy	NOUN
ejpam-5944	94	14	while	while	SCONJ
ejpam-5944	94	15	maintaining	maintain	VERB
ejpam-5944	94	16	numerical	numerical	ADJ
ejpam-5944	94	17	stability	stability	NOUN
ejpam-5944	94	18	,	,	PUNCT
ejpam-5944	94	19	making	make	VERB
ejpam-5944	94	20	it	it	PRON
ejpam-5944	94	21	suitable	suitable	ADJ
ejpam-5944	94	22	for	for	ADP
ejpam-5944	94	23	solving	solve	VERB
ejpam-5944	94	24	nonlinear	nonlinear	ADJ
ejpam-5944	94	25	and	and	CCONJ
ejpam-5944	94	26	time	time	NOUN
ejpam-5944	94	27	-	-	PUNCT
ejpam-5944	94	28	fractional	fractional	ADJ
ejpam-5944	94	29	systems	system	NOUN
ejpam-5944	94	30	.	.	PUNCT
ejpam-5944	95	1	the	the	DET
ejpam-5944	95	2	classical	classical	ADJ
ejpam-5944	95	3	runge	runge	NOUN
ejpam-5944	95	4	-	-	PUNCT
ejpam-5944	95	5	kutta	kutta	NOUN
ejpam-5944	95	6	method	method	NOUN
ejpam-5944	95	7	of	of	ADP
ejpam-5944	95	8	order	order	NOUN
ejpam-5944	95	9	four	four	NUM
ejpam-5944	95	10	is	be	AUX
ejpam-5944	95	11	a	a	DET
ejpam-5944	95	12	widely	widely	ADV
ejpam-5944	95	13	kamran	kamran	PROPN
ejpam-5944	95	14	et	et	PROPN
ejpam-5944	95	15	al	al	PROPN
ejpam-5944	95	16	.	.	PUNCT
ejpam-5944	95	17	/	/	SYM
ejpam-5944	95	18	eur	eur	PROPN
ejpam-5944	95	19	.	.	PUNCT
ejpam-5944	96	1	j.	j.	PROPN
ejpam-5944	96	2	pure	pure	PROPN
ejpam-5944	96	3	appl	appl	PROPN
ejpam-5944	96	4	.	.	PROPN
ejpam-5944	96	5	math	math	PROPN
ejpam-5944	96	6	,	,	PUNCT
ejpam-5944	96	7	18	18	NUM
ejpam-5944	96	8	(	(	PUNCT
ejpam-5944	96	9	2	2	NUM
ejpam-5944	96	10	)	)	PUNCT
ejpam-5944	96	11	(	(	PUNCT
ejpam-5944	96	12	2025	2025	NUM
ejpam-5944	96	13	)	)	PUNCT
ejpam-5944	96	14	,	,	PUNCT
ejpam-5944	96	15	5944	5944	NUM
ejpam-5944	96	16	5	5	NUM
ejpam-5944	96	17	of	of	ADP
ejpam-5944	96	18	32	32	NUM
ejpam-5944	96	19	used	use	VERB
ejpam-5944	96	20	numerical	numerical	ADJ
ejpam-5944	96	21	technique	technique	NOUN
ejpam-5944	96	22	for	for	ADP
ejpam-5944	96	23	solving	solve	VERB
ejpam-5944	96	24	ordinary	ordinary	ADJ
ejpam-5944	96	25	differential	differential	ADJ
ejpam-5944	96	26	equations	equation	NOUN
ejpam-5944	96	27	(	(	PUNCT
ejpam-5944	96	28	odes	ode	NOUN
ejpam-5944	96	29	)	)	PUNCT
ejpam-5944	96	30	by	by	ADP
ejpam-5944	96	31	approximating	approximate	VERB
ejpam-5944	96	32	the	the	DET
ejpam-5944	96	33	solution	solution	NOUN
ejpam-5944	96	34	through	through	ADP
ejpam-5944	96	35	a	a	DET
ejpam-5944	96	36	weighted	weighted	ADJ
ejpam-5944	96	37	average	average	NOUN
ejpam-5944	96	38	of	of	ADP
ejpam-5944	96	39	four	four	NUM
ejpam-5944	96	40	function	function	NOUN
ejpam-5944	96	41	evaluations	evaluation	NOUN
ejpam-5944	96	42	per	per	ADP
ejpam-5944	96	43	time	time	NOUN
ejpam-5944	96	44	step	step	NOUN
ejpam-5944	96	45	.	.	PUNCT
ejpam-5944	97	1	the	the	DET
ejpam-5944	97	2	frk4	frk4	NOUN
ejpam-5944	97	3	method	method	NOUN
ejpam-5944	97	4	adapts	adapt	VERB
ejpam-5944	97	5	this	this	DET
ejpam-5944	97	6	approach	approach	NOUN
ejpam-5944	97	7	to	to	ADP
ejpam-5944	97	8	fdes	fde	NOUN
ejpam-5944	97	9	by	by	ADP
ejpam-5944	97	10	incorporating	incorporate	VERB
ejpam-5944	97	11	the	the	DET
ejpam-5944	97	12	fractional	fractional	ADJ
ejpam-5944	97	13	-	-	PUNCT
ejpam-5944	97	14	order	order	NOUN
ejpam-5944	97	15	derivative	derivative	NOUN
ejpam-5944	97	16	,	,	PUNCT
ejpam-5944	97	17	typically	typically	ADV
ejpam-5944	97	18	denoted	denote	VERB
ejpam-5944	97	19	by	by	ADP
ejpam-5944	97	20	β	β	PRON
ejpam-5944	97	21	where	where	SCONJ
ejpam-5944	97	22	0	0	PUNCT
ejpam-5944	97	23	<	<	X
ejpam-5944	97	24	β	β	X
ejpam-5944	97	25	≤	≤	NUM
ejpam-5944	97	26	1	1	NUM
ejpam-5944	97	27	.	.	PUNCT
ejpam-5944	98	1	unlike	unlike	ADP
ejpam-5944	98	2	integer	integer	NOUN
ejpam-5944	98	3	-	-	PUNCT
ejpam-5944	98	4	order	order	NOUN
ejpam-5944	98	5	derivatives	derivative	NOUN
ejpam-5944	98	6	,	,	PUNCT
ejpam-5944	98	7	fractional	fractional	ADJ
ejpam-5944	98	8	derivatives	derivative	NOUN
ejpam-5944	98	9	are	be	AUX
ejpam-5944	98	10	non	non	ADJ
ejpam-5944	98	11	-	-	ADJ
ejpam-5944	98	12	local	local	ADJ
ejpam-5944	98	13	,	,	PUNCT
ejpam-5944	98	14	meaning	mean	VERB
ejpam-5944	98	15	they	they	PRON
ejpam-5944	98	16	depend	depend	VERB
ejpam-5944	98	17	on	on	ADP
ejpam-5944	98	18	the	the	DET
ejpam-5944	98	19	history	history	NOUN
ejpam-5944	98	20	of	of	ADP
ejpam-5944	98	21	the	the	DET
ejpam-5944	98	22	solution	solution	NOUN
ejpam-5944	98	23	,	,	PUNCT
ejpam-5944	98	24	which	which	PRON
ejpam-5944	98	25	complicates	complicate	VERB
ejpam-5944	98	26	numerical	numerical	ADJ
ejpam-5944	98	27	computations	computation	NOUN
ejpam-5944	98	28	.	.	PUNCT
ejpam-5944	99	1	the	the	DET
ejpam-5944	99	2	frk4	frk4	PROPN
ejpam-5944	99	3	method	method	NOUN
ejpam-5944	99	4	addresses	address	NOUN
ejpam-5944	99	5	this	this	PRON
ejpam-5944	99	6	by	by	ADP
ejpam-5944	99	7	using	use	VERB
ejpam-5944	99	8	a	a	DET
ejpam-5944	99	9	generalized	generalized	ADJ
ejpam-5944	99	10	taylor	taylor	NOUN
ejpam-5944	99	11	formula	formula	NOUN
ejpam-5944	99	12	tailored	tailor	VERB
ejpam-5944	99	13	to	to	ADP
ejpam-5944	99	14	fractional	fractional	ADJ
ejpam-5944	99	15	-	-	PUNCT
ejpam-5944	99	16	order	order	NOUN
ejpam-5944	99	17	systems	system	NOUN
ejpam-5944	99	18	,	,	PUNCT
ejpam-5944	99	19	as	as	SCONJ
ejpam-5944	99	20	developed	develop	VERB
ejpam-5944	99	21	by	by	ADP
ejpam-5944	99	22	milici	milici	PROPN
ejpam-5944	99	23	et	et	PROPN
ejpam-5944	99	24	al	al	PROPN
ejpam-5944	99	25	.	.	PUNCT
ejpam-5944	100	1	[	[	X
ejpam-5944	100	2	34	34	NUM
ejpam-5944	100	3	]	]	PUNCT
ejpam-5944	100	4	.	.	PUNCT
ejpam-5944	101	1	the	the	DET
ejpam-5944	101	2	frk4	frk4	PROPN
ejpam-5944	101	3	method	method	NOUN
ejpam-5944	101	4	offers	offer	VERB
ejpam-5944	101	5	several	several	ADJ
ejpam-5944	101	6	advantages	advantage	NOUN
ejpam-5944	101	7	:	:	PUNCT
ejpam-5944	101	8	•	•	NUM
ejpam-5944	101	9	high	high	ADJ
ejpam-5944	101	10	accuracy	accuracy	NOUN
ejpam-5944	101	11	:	:	PUNCT
ejpam-5944	101	12	it	it	PRON
ejpam-5944	101	13	achieves	achieve	VERB
ejpam-5944	101	14	an	an	DET
ejpam-5944	101	15	error	error	NOUN
ejpam-5944	101	16	of	of	ADP
ejpam-5944	101	17	order	order	NOUN
ejpam-5944	101	18	o(h3β	o(h3β	PROPN
ejpam-5944	101	19	)	)	PUNCT
ejpam-5944	101	20	,	,	PUNCT
ejpam-5944	101	21	where	where	SCONJ
ejpam-5944	101	22	h	h	NOUN
ejpam-5944	101	23	is	be	AUX
ejpam-5944	101	24	the	the	DET
ejpam-5944	101	25	step	step	NOUN
ejpam-5944	101	26	size	size	NOUN
ejpam-5944	101	27	and	and	CCONJ
ejpam-5944	101	28	β	β	X
ejpam-5944	101	29	is	be	AUX
ejpam-5944	101	30	the	the	DET
ejpam-5944	101	31	fractional	fractional	ADJ
ejpam-5944	101	32	order	order	NOUN
ejpam-5944	101	33	,	,	PUNCT
ejpam-5944	101	34	providing	provide	VERB
ejpam-5944	101	35	precise	precise	ADJ
ejpam-5944	101	36	solutions	solution	NOUN
ejpam-5944	101	37	for	for	ADP
ejpam-5944	101	38	fdes	fde	NOUN
ejpam-5944	101	39	.	.	PUNCT
ejpam-5944	102	1	•	•	NUM
ejpam-5944	102	2	flexibility	flexibility	NOUN
ejpam-5944	102	3	:	:	PUNCT
ejpam-5944	102	4	it	it	PRON
ejpam-5944	102	5	can	can	AUX
ejpam-5944	102	6	handle	handle	VERB
ejpam-5944	102	7	both	both	PRON
ejpam-5944	102	8	riemann	riemann	PROPN
ejpam-5944	102	9	-	-	PUNCT
ejpam-5944	102	10	liouville	liouville	PROPN
ejpam-5944	102	11	and	and	CCONJ
ejpam-5944	102	12	caputo	caputo	PROPN
ejpam-5944	102	13	fractional	fractional	ADJ
ejpam-5944	102	14	derivatives	derivative	NOUN
ejpam-5944	102	15	,	,	PUNCT
ejpam-5944	102	16	which	which	PRON
ejpam-5944	102	17	are	be	AUX
ejpam-5944	102	18	commonly	commonly	ADV
ejpam-5944	102	19	used	use	VERB
ejpam-5944	102	20	in	in	ADP
ejpam-5944	102	21	mathematical	mathematical	ADJ
ejpam-5944	102	22	modeling	modeling	NOUN
ejpam-5944	102	23	.	.	PUNCT
ejpam-5944	103	1	•	•	NUM
ejpam-5944	103	2	stability	stability	NOUN
ejpam-5944	103	3	:	:	PUNCT
ejpam-5944	103	4	the	the	DET
ejpam-5944	103	5	method	method	NOUN
ejpam-5944	103	6	maintains	maintain	VERB
ejpam-5944	103	7	numerical	numerical	ADJ
ejpam-5944	103	8	stability	stability	NOUN
ejpam-5944	103	9	for	for	ADP
ejpam-5944	103	10	a	a	DET
ejpam-5944	103	11	wide	wide	ADJ
ejpam-5944	103	12	range	range	NOUN
ejpam-5944	103	13	of	of	ADP
ejpam-5944	103	14	fdes	fde	NOUN
ejpam-5944	103	15	,	,	PUNCT
ejpam-5944	103	16	including	include	VERB
ejpam-5944	103	17	nonlinear	nonlinear	ADJ
ejpam-5944	103	18	systems	system	NOUN
ejpam-5944	103	19	.	.	PUNCT
ejpam-5944	104	1	however	however	ADV
ejpam-5944	104	2	,	,	PUNCT
ejpam-5944	104	3	a	a	DET
ejpam-5944	104	4	key	key	ADJ
ejpam-5944	104	5	limitation	limitation	NOUN
ejpam-5944	104	6	is	be	AUX
ejpam-5944	104	7	its	its	PRON
ejpam-5944	104	8	increased	increased	ADJ
ejpam-5944	104	9	computational	computational	ADJ
ejpam-5944	104	10	cost	cost	NOUN
ejpam-5944	104	11	,	,	PUNCT
ejpam-5944	104	12	particularly	particularly	ADV
ejpam-5944	104	13	when	when	SCONJ
ejpam-5944	104	14	higher	high	ADJ
ejpam-5944	104	15	accuracy	accuracy	NOUN
ejpam-5944	104	16	is	be	AUX
ejpam-5944	104	17	desired	desire	VERB
ejpam-5944	104	18	by	by	ADP
ejpam-5944	104	19	reducing	reduce	VERB
ejpam-5944	104	20	the	the	DET
ejpam-5944	104	21	step	step	NOUN
ejpam-5944	104	22	size	size	NOUN
ejpam-5944	104	23	or	or	CCONJ
ejpam-5944	104	24	increasing	increase	VERB
ejpam-5944	104	25	the	the	DET
ejpam-5944	104	26	number	number	NOUN
ejpam-5944	104	27	of	of	ADP
ejpam-5944	104	28	evaluations	evaluation	NOUN
ejpam-5944	104	29	.	.	PUNCT
ejpam-5944	105	1	this	this	DET
ejpam-5944	105	2	cost	cost	NOUN
ejpam-5944	105	3	arises	arise	VERB
ejpam-5944	105	4	because	because	SCONJ
ejpam-5944	105	5	fractional	fractional	ADJ
ejpam-5944	105	6	derivatives	derivative	NOUN
ejpam-5944	105	7	require	require	VERB
ejpam-5944	105	8	evaluating	evaluating	NOUN
ejpam-5944	105	9	integrals	integral	NOUN
ejpam-5944	105	10	over	over	ADP
ejpam-5944	105	11	the	the	DET
ejpam-5944	105	12	history	history	NOUN
ejpam-5944	105	13	of	of	ADP
ejpam-5944	105	14	the	the	DET
ejpam-5944	105	15	solution	solution	NOUN
ejpam-5944	105	16	,	,	PUNCT
ejpam-5944	105	17	which	which	PRON
ejpam-5944	105	18	can	can	AUX
ejpam-5944	105	19	be	be	AUX
ejpam-5944	105	20	computationally	computationally	ADV
ejpam-5944	105	21	intensive	intensive	ADJ
ejpam-5944	105	22	[	[	X
ejpam-5944	105	23	34	34	NUM
ejpam-5944	105	24	]	]	PUNCT
ejpam-5944	105	25	.	.	PUNCT
ejpam-5944	106	1	despite	despite	SCONJ
ejpam-5944	106	2	this	this	PRON
ejpam-5944	106	3	,	,	PUNCT
ejpam-5944	106	4	the	the	DET
ejpam-5944	106	5	frk4	frk4	NOUN
ejpam-5944	106	6	method	method	NOUN
ejpam-5944	106	7	is	be	AUX
ejpam-5944	106	8	often	often	ADV
ejpam-5944	106	9	preferred	prefer	VERB
ejpam-5944	106	10	over	over	ADP
ejpam-5944	106	11	other	other	ADJ
ejpam-5944	106	12	numerical	numerical	ADJ
ejpam-5944	106	13	methods	method	NOUN
ejpam-5944	106	14	for	for	ADP
ejpam-5944	106	15	fdes	fde	NOUN
ejpam-5944	106	16	due	due	ADP
ejpam-5944	106	17	to	to	ADP
ejpam-5944	106	18	its	its	PRON
ejpam-5944	106	19	balance	balance	NOUN
ejpam-5944	106	20	of	of	ADP
ejpam-5944	106	21	accuracy	accuracy	NOUN
ejpam-5944	106	22	and	and	CCONJ
ejpam-5944	106	23	robustness	robustness	NOUN
ejpam-5944	106	24	.	.	PUNCT
ejpam-5944	107	1	the	the	DET
ejpam-5944	107	2	frk4	frk4	NOUN
ejpam-5944	107	3	method	method	NOUN
ejpam-5944	107	4	was	be	AUX
ejpam-5944	107	5	initially	initially	ADV
ejpam-5944	107	6	proposed	propose	VERB
ejpam-5944	107	7	by	by	ADP
ejpam-5944	107	8	milici	milici	PROPN
ejpam-5944	107	9	et	et	PROPN
ejpam-5944	107	10	al	al	PROPN
ejpam-5944	107	11	.	.	PUNCT
ejpam-5944	108	1	[	[	X
ejpam-5944	108	2	35	35	NUM
ejpam-5944	108	3	]	]	PUNCT
ejpam-5944	108	4	to	to	PART
ejpam-5944	108	5	solve	solve	VERB
ejpam-5944	108	6	fde	fde	PROPN
ejpam-5944	108	7	and	and	CCONJ
ejpam-5944	108	8	was	be	AUX
ejpam-5944	108	9	further	far	ADV
ejpam-5944	108	10	refined	refine	VERB
ejpam-5944	108	11	in	in	ADP
ejpam-5944	108	12	[	[	X
ejpam-5944	108	13	34	34	NUM
ejpam-5944	108	14	]	]	PUNCT
ejpam-5944	108	15	.	.	PUNCT
ejpam-5944	109	1	the	the	DET
ejpam-5944	109	2	authors	author	NOUN
ejpam-5944	109	3	developed	develop	VERB
ejpam-5944	109	4	a	a	DET
ejpam-5944	109	5	general	general	ADJ
ejpam-5944	109	6	frk4	frk4	NOUN
ejpam-5944	109	7	scheme	scheme	NOUN
ejpam-5944	109	8	by	by	ADP
ejpam-5944	109	9	leveraging	leverage	VERB
ejpam-5944	109	10	the	the	DET
ejpam-5944	109	11	generalized	generalized	ADJ
ejpam-5944	109	12	taylor	taylor	PROPN
ejpam-5944	109	13	formula	formula	NOUN
ejpam-5944	109	14	for	for	ADP
ejpam-5944	109	15	time	time	NOUN
ejpam-5944	109	16	-	-	PUNCT
ejpam-5944	109	17	fractional	fractional	ADJ
ejpam-5944	109	18	systems	system	NOUN
ejpam-5944	109	19	.	.	PUNCT
ejpam-5944	110	1	this	this	DET
ejpam-5944	110	2	formula	formula	NOUN
ejpam-5944	110	3	accounts	account	VERB
ejpam-5944	110	4	for	for	ADP
ejpam-5944	110	5	the	the	DET
ejpam-5944	110	6	non	non	ADJ
ejpam-5944	110	7	-	-	ADJ
ejpam-5944	110	8	local	local	ADJ
ejpam-5944	110	9	nature	nature	NOUN
ejpam-5944	110	10	of	of	ADP
ejpam-5944	110	11	fractional	fractional	ADJ
ejpam-5944	110	12	derivatives	derivative	NOUN
ejpam-5944	110	13	,	,	PUNCT
ejpam-5944	110	14	allowing	allow	VERB
ejpam-5944	110	15	the	the	DET
ejpam-5944	110	16	method	method	NOUN
ejpam-5944	110	17	to	to	PART
ejpam-5944	110	18	approximate	approximate	VERB
ejpam-5944	110	19	the	the	DET
ejpam-5944	110	20	solution	solution	NOUN
ejpam-5944	110	21	with	with	ADP
ejpam-5944	110	22	a	a	DET
ejpam-5944	110	23	local	local	ADJ
ejpam-5944	110	24	error	error	NOUN
ejpam-5944	110	25	function	function	NOUN
ejpam-5944	110	26	defined	define	VERB
ejpam-5944	110	27	as	as	ADP
ejpam-5944	110	28	:	:	PUNCT
ejpam-5944	110	29	e(h	e(h	X
ejpam-5944	110	30	)	)	PUNCT
ejpam-5944	110	31	=	=	PUNCT
ejpam-5944	110	32	u(tn+1	u(tn+1	PROPN
ejpam-5944	110	33	)	)	PUNCT
ejpam-5944	110	34	−	−	PROPN
ejpam-5944	111	1	u(tn	u(tn	PROPN
ejpam-5944	111	2	)	)	PUNCT
ejpam-5944	111	3	=	=	SYM
ejpam-5944	111	4	adβu(tn	adβu(tn	PROPN
ejpam-5944	111	5	)	)	PUNCT
ejpam-5944	111	6	+	+	X
ejpam-5944	111	7	bd2βu(tn	bd2βu(tn	NUM
ejpam-5944	111	8	)	)	PUNCT
ejpam-5944	112	1	+	+	SYM
ejpam-5944	112	2	o(h3β	o(h3β	PROPN
ejpam-5944	112	3	)	)	PUNCT
ejpam-5944	112	4	,	,	PUNCT
ejpam-5944	112	5	(	(	PUNCT
ejpam-5944	112	6	3.1	3.1	NUM
ejpam-5944	112	7	)	)	PUNCT
ejpam-5944	112	8	where	where	SCONJ
ejpam-5944	112	9	a	a	DET
ejpam-5944	112	10	=	=	X
ejpam-5944	112	11	hβ	hβ	NOUN
ejpam-5944	112	12	γ(β+1	γ(β+1	PROPN
ejpam-5944	112	13	)	)	PUNCT
ejpam-5944	112	14	,	,	PUNCT
ejpam-5944	113	1	b	b	X
ejpam-5944	113	2	=	=	SYM
ejpam-5944	113	3	h2β	h2β	NOUN
ejpam-5944	113	4	γ(2β+1	γ(2β+1	ADJ
ejpam-5944	113	5	)	)	PUNCT
ejpam-5944	113	6	,	,	PUNCT
ejpam-5944	113	7	dβ	dβ	ADJ
ejpam-5944	113	8	denotes	denote	NOUN
ejpam-5944	113	9	the	the	DET
ejpam-5944	113	10	fractional	fractional	ADJ
ejpam-5944	113	11	derivative	derivative	NOUN
ejpam-5944	113	12	of	of	ADP
ejpam-5944	113	13	order	order	NOUN
ejpam-5944	113	14	β	β	X
ejpam-5944	113	15	,	,	PUNCT
ejpam-5944	113	16	o	o	NOUN
ejpam-5944	113	17	(	(	PUNCT
ejpam-5944	113	18	·	·	PUNCT
ejpam-5944	113	19	)	)	PUNCT
ejpam-5944	113	20	is	be	AUX
ejpam-5944	113	21	the	the	DET
ejpam-5944	113	22	bachmann	bachmann	PROPN
ejpam-5944	113	23	-	-	PUNCT
ejpam-5944	113	24	landau	landau	NOUN
ejpam-5944	113	25	notation	notation	NOUN
ejpam-5944	113	26	for	for	ADP
ejpam-5944	113	27	higher	high	ADJ
ejpam-5944	113	28	-	-	PUNCT
ejpam-5944	113	29	order	order	NOUN
ejpam-5944	113	30	terms	term	NOUN
ejpam-5944	113	31	[	[	X
ejpam-5944	113	32	34	34	NUM
ejpam-5944	113	33	]	]	PUNCT
ejpam-5944	113	34	,	,	PUNCT
ejpam-5944	113	35	and	and	CCONJ
ejpam-5944	113	36	γ	γ	X
ejpam-5944	113	37	(	(	PUNCT
ejpam-5944	113	38	·	·	PUNCT
ejpam-5944	113	39	)	)	PUNCT
ejpam-5944	113	40	is	be	AUX
ejpam-5944	113	41	the	the	DET
ejpam-5944	113	42	gamma	gamma	PROPN
ejpam-5944	113	43	function	function	NOUN
ejpam-5944	113	44	,	,	PUNCT
ejpam-5944	113	45	which	which	PRON
ejpam-5944	113	46	generalizes	generalize	VERB
ejpam-5944	113	47	factorials	factorial	NOUN
ejpam-5944	113	48	to	to	ADP
ejpam-5944	113	49	real	real	ADJ
ejpam-5944	113	50	and	and	CCONJ
ejpam-5944	113	51	complex	complex	ADJ
ejpam-5944	113	52	numbers	number	NOUN
ejpam-5944	113	53	.	.	PUNCT
ejpam-5944	114	1	this	this	DET
ejpam-5944	114	2	error	error	NOUN
ejpam-5944	114	3	function	function	NOUN
ejpam-5944	114	4	quantifies	quantify	VERB
ejpam-5944	114	5	the	the	DET
ejpam-5944	114	6	truncation	truncation	NOUN
ejpam-5944	114	7	error	error	NOUN
ejpam-5944	114	8	per	per	ADP
ejpam-5944	114	9	step	step	NOUN
ejpam-5944	114	10	,	,	PUNCT
ejpam-5944	114	11	showing	show	VERB
ejpam-5944	114	12	that	that	SCONJ
ejpam-5944	114	13	the	the	DET
ejpam-5944	114	14	accuracy	accuracy	NOUN
ejpam-5944	114	15	of	of	ADP
ejpam-5944	114	16	the	the	DET
ejpam-5944	114	17	method	method	NOUN
ejpam-5944	114	18	improves	improve	VERB
ejpam-5944	114	19	with	with	ADP
ejpam-5944	114	20	smaller	small	ADJ
ejpam-5944	114	21	step	step	NOUN
ejpam-5944	114	22	sizes	size	NOUN
ejpam-5944	114	23	but	but	CCONJ
ejpam-5944	114	24	at	at	ADP
ejpam-5944	114	25	the	the	DET
ejpam-5944	114	26	cost	cost	NOUN
ejpam-5944	114	27	of	of	ADP
ejpam-5944	114	28	more	more	ADJ
ejpam-5944	114	29	computations	computation	NOUN
ejpam-5944	114	30	.	.	PUNCT
ejpam-5944	115	1	3.1	3.1	NUM
ejpam-5944	115	2	.	.	PUNCT
ejpam-5944	115	3	differential	differential	ADJ
ejpam-5944	115	4	equation	equation	NOUN
ejpam-5944	115	5	of	of	ADP
ejpam-5944	115	6	fractional	fractional	ADJ
ejpam-5944	115	7	order	order	NOUN
ejpam-5944	115	8	to	to	PART
ejpam-5944	115	9	illustrate	illustrate	VERB
ejpam-5944	115	10	the	the	DET
ejpam-5944	115	11	frk4	frk4	NOUN
ejpam-5944	115	12	method	method	NOUN
ejpam-5944	115	13	,	,	PUNCT
ejpam-5944	115	14	consider	consider	VERB
ejpam-5944	115	15	an	an	DET
ejpam-5944	115	16	initial	initial	ADJ
ejpam-5944	115	17	value	value	NOUN
ejpam-5944	115	18	problem	problem	NOUN
ejpam-5944	115	19	(	(	PUNCT
ejpam-5944	115	20	ivp	ivp	NOUN
ejpam-5944	115	21	)	)	PUNCT
ejpam-5944	115	22	for	for	ADP
ejpam-5944	115	23	a	a	DET
ejpam-5944	115	24	fractionalorder	fractionalorder	ADJ
ejpam-5944	115	25	differential	differential	ADJ
ejpam-5944	115	26	equation	equation	NOUN
ejpam-5944	115	27	of	of	ADP
ejpam-5944	115	28	the	the	DET
ejpam-5944	115	29	form	form	NOUN
ejpam-5944	115	30	:	:	PUNCT
ejpam-5944	115	31	c	c	NOUN
ejpam-5944	115	32	0	0	NUM
ejpam-5944	115	33	dβ	dβ	NOUN
ejpam-5944	115	34	t	t	NOUN
ejpam-5944	115	35	u(t	u(t	PROPN
ejpam-5944	115	36	)	)	PUNCT
ejpam-5944	115	37	=	=	SYM
ejpam-5944	116	1	f(t	f(t	NOUN
ejpam-5944	116	2	,	,	PUNCT
ejpam-5944	116	3	u(t	u(t	NOUN
ejpam-5944	116	4	)	)	PUNCT
ejpam-5944	116	5	)	)	PUNCT
ejpam-5944	116	6	,	,	PUNCT
ejpam-5944	116	7	u(t0	u(t0	NOUN
ejpam-5944	116	8	)	)	PUNCT
ejpam-5944	116	9	=	=	SYM
ejpam-5944	117	1	u0	u0	ADJ
ejpam-5944	117	2	,	,	PUNCT
ejpam-5944	117	3	u(t	u(t	NOUN
ejpam-5944	117	4	)	)	PUNCT
ejpam-5944	117	5	∈	∈	PROPN
ejpam-5944	117	6	cp+1([t0	cp+1([t0	NOUN
ejpam-5944	117	7	,	,	PUNCT
ejpam-5944	117	8	t0	t0	PROPN
ejpam-5944	117	9	+	+	X
ejpam-5944	117	10	t	t	X
ejpam-5944	117	11	]	]	PUNCT
ejpam-5944	117	12	)	)	PUNCT
ejpam-5944	117	13	,	,	PUNCT
ejpam-5944	117	14	0	0	PUNCT
ejpam-5944	117	15	<	<	X
ejpam-5944	117	16	β	β	X
ejpam-5944	117	17	≤	≤	NUM
ejpam-5944	117	18	1	1	NUM
ejpam-5944	117	19	,	,	PUNCT
ejpam-5944	117	20	(	(	PUNCT
ejpam-5944	117	21	3.2	3.2	NUM
ejpam-5944	117	22	)	)	PUNCT
ejpam-5944	117	23	kamran	kamran	PROPN
ejpam-5944	117	24	et	et	PROPN
ejpam-5944	117	25	al	al	PROPN
ejpam-5944	117	26	.	.	PUNCT
ejpam-5944	117	27	/	/	SYM
ejpam-5944	117	28	eur	eur	PROPN
ejpam-5944	117	29	.	.	PUNCT
ejpam-5944	118	1	j.	j.	PROPN
ejpam-5944	118	2	pure	pure	PROPN
ejpam-5944	118	3	appl	appl	PROPN
ejpam-5944	118	4	.	.	PROPN
ejpam-5944	118	5	math	math	PROPN
ejpam-5944	118	6	,	,	PUNCT
ejpam-5944	118	7	18	18	NUM
ejpam-5944	118	8	(	(	PUNCT
ejpam-5944	118	9	2	2	NUM
ejpam-5944	118	10	)	)	PUNCT
ejpam-5944	118	11	(	(	PUNCT
ejpam-5944	118	12	2025	2025	NUM
ejpam-5944	118	13	)	)	PUNCT
ejpam-5944	118	14	,	,	PUNCT
ejpam-5944	118	15	5944	5944	NUM
ejpam-5944	118	16	6	6	NUM
ejpam-5944	118	17	of	of	ADP
ejpam-5944	118	18	32	32	NUM
ejpam-5944	119	1	where	where	SCONJ
ejpam-5944	119	2	c	c	NOUN
ejpam-5944	119	3	0	0	NUM
ejpam-5944	120	1	dβ	dβ	ADP
ejpam-5944	120	2	t	t	PROPN
ejpam-5944	120	3	is	be	AUX
ejpam-5944	120	4	the	the	DET
ejpam-5944	120	5	caputo	caputo	PROPN
ejpam-5944	120	6	fractional	fractional	PROPN
ejpam-5944	120	7	derivative	derivative	NOUN
ejpam-5944	120	8	of	of	ADP
ejpam-5944	120	9	order	order	NOUN
ejpam-5944	120	10	β	β	X
ejpam-5944	120	11	,	,	PUNCT
ejpam-5944	120	12	defined	define	VERB
ejpam-5944	120	13	as	as	ADP
ejpam-5944	120	14	:	:	PUNCT
ejpam-5944	120	15	c	c	NOUN
ejpam-5944	120	16	0	0	NUM
ejpam-5944	120	17	dβ	dβ	NOUN
ejpam-5944	120	18	t	t	NOUN
ejpam-5944	120	19	u(t	u(t	PROPN
ejpam-5944	120	20	)	)	PUNCT
ejpam-5944	120	21	=	=	SYM
ejpam-5944	121	1	1	1	NUM
ejpam-5944	121	2	γ(1	γ(1	NOUN
ejpam-5944	121	3	−	−	PROPN
ejpam-5944	121	4	β	β	NOUN
ejpam-5944	121	5	)	)	PUNCT
ejpam-5944	121	6	∫	∫	PROPN
ejpam-5944	121	7	t	t	PROPN
ejpam-5944	121	8	0	0	NUM
ejpam-5944	122	1	(	(	PUNCT
ejpam-5944	122	2	t	t	PROPN
ejpam-5944	122	3	−	−	PROPN
ejpam-5944	122	4	τ)−βu′(τ)dτ	τ)−βu′(τ)dτ	NOUN
ejpam-5944	122	5	,	,	PUNCT
ejpam-5944	122	6	f(t	f(t	NOUN
ejpam-5944	122	7	,	,	PUNCT
ejpam-5944	122	8	u(t	u(t	NOUN
ejpam-5944	122	9	)	)	PUNCT
ejpam-5944	122	10	)	)	PUNCT
ejpam-5944	122	11	is	be	AUX
ejpam-5944	122	12	a	a	DET
ejpam-5944	122	13	nonlinear	nonlinear	ADJ
ejpam-5944	122	14	function	function	NOUN
ejpam-5944	122	15	governing	govern	VERB
ejpam-5944	122	16	the	the	DET
ejpam-5944	122	17	dynamics	dynamic	NOUN
ejpam-5944	122	18	,	,	PUNCT
ejpam-5944	122	19	u0	u0	PROPN
ejpam-5944	122	20	is	be	AUX
ejpam-5944	122	21	the	the	DET
ejpam-5944	122	22	initial	initial	ADJ
ejpam-5944	122	23	condition	condition	NOUN
ejpam-5944	122	24	,	,	PUNCT
ejpam-5944	122	25	cp+1	cp+1	PROPN
ejpam-5944	122	26	denotes	denote	VERB
ejpam-5944	122	27	the	the	DET
ejpam-5944	122	28	space	space	NOUN
ejpam-5944	122	29	of	of	ADP
ejpam-5944	122	30	functions	function	NOUN
ejpam-5944	122	31	with	with	ADP
ejpam-5944	122	32	p	p	NOUN
ejpam-5944	122	33	+	+	NOUN
ejpam-5944	122	34	1	1	NUM
ejpam-5944	122	35	-	-	PUNCT
ejpam-5944	122	36	th	th	VERB
ejpam-5944	122	37	order	order	NOUN
ejpam-5944	122	38	continuous	continuous	ADJ
ejpam-5944	122	39	derivatives	derivative	NOUN
ejpam-5944	122	40	,	,	PUNCT
ejpam-5944	122	41	and	and	CCONJ
ejpam-5944	122	42	t	t	PROPN
ejpam-5944	122	43	is	be	AUX
ejpam-5944	122	44	the	the	DET
ejpam-5944	122	45	time	time	NOUN
ejpam-5944	122	46	interval	interval	NOUN
ejpam-5944	122	47	.	.	PUNCT
ejpam-5944	123	1	the	the	DET
ejpam-5944	123	2	caputo	caputo	PROPN
ejpam-5944	123	3	derivative	derivative	NOUN
ejpam-5944	123	4	is	be	AUX
ejpam-5944	123	5	preferred	prefer	VERB
ejpam-5944	123	6	in	in	ADP
ejpam-5944	123	7	many	many	ADJ
ejpam-5944	123	8	applications	application	NOUN
ejpam-5944	123	9	because	because	SCONJ
ejpam-5944	123	10	it	it	PRON
ejpam-5944	123	11	allows	allow	VERB
ejpam-5944	123	12	initial	initial	ADJ
ejpam-5944	123	13	conditions	condition	NOUN
ejpam-5944	123	14	to	to	PART
ejpam-5944	123	15	be	be	AUX
ejpam-5944	123	16	specified	specify	VERB
ejpam-5944	123	17	in	in	ADP
ejpam-5944	123	18	terms	term	NOUN
ejpam-5944	123	19	of	of	ADP
ejpam-5944	123	20	integer	integer	NOUN
ejpam-5944	123	21	-	-	PUNCT
ejpam-5944	123	22	order	order	NOUN
ejpam-5944	123	23	derivatives	derivative	NOUN
ejpam-5944	123	24	,	,	PUNCT
ejpam-5944	123	25	which	which	PRON
ejpam-5944	123	26	aligns	align	VERB
ejpam-5944	123	27	with	with	ADP
ejpam-5944	123	28	physical	physical	ADJ
ejpam-5944	123	29	interpretations	interpretation	NOUN
ejpam-5944	123	30	(	(	PUNCT
ejpam-5944	123	31	e.g.	e.g.	ADV
ejpam-5944	123	32	,	,	PUNCT
ejpam-5944	123	33	initial	initial	ADJ
ejpam-5944	123	34	population	population	NOUN
ejpam-5944	123	35	in	in	ADP
ejpam-5944	123	36	epidemiological	epidemiological	ADJ
ejpam-5944	123	37	models	model	NOUN
ejpam-5944	123	38	)	)	PUNCT
ejpam-5944	123	39	.	.	PUNCT
ejpam-5944	124	1	3.2	3.2	NUM
ejpam-5944	124	2	.	.	PUNCT
ejpam-5944	125	1	frk4	frk4	PROPN
ejpam-5944	125	2	numerical	numerical	PROPN
ejpam-5944	125	3	scheme	scheme	PROPN
ejpam-5944	125	4	the	the	DET
ejpam-5944	125	5	frk4	frk4	NOUN
ejpam-5944	125	6	method	method	NOUN
ejpam-5944	125	7	approximates	approximate	VERB
ejpam-5944	125	8	the	the	DET
ejpam-5944	125	9	solution	solution	NOUN
ejpam-5944	125	10	of	of	ADP
ejpam-5944	125	11	(	(	PUNCT
ejpam-5944	125	12	3.2	3.2	NUM
ejpam-5944	125	13	)	)	PUNCT
ejpam-5944	125	14	at	at	ADP
ejpam-5944	125	15	discrete	discrete	ADJ
ejpam-5944	125	16	time	time	NOUN
ejpam-5944	125	17	points	point	NOUN
ejpam-5944	125	18	tn	tn	NOUN
ejpam-5944	126	1	=	=	SYM
ejpam-5944	126	2	t0	t0	PROPN
ejpam-5944	126	3	+	+	CCONJ
ejpam-5944	126	4	nh	nh	PROPN
ejpam-5944	126	5	,	,	PUNCT
ejpam-5944	126	6	where	where	SCONJ
ejpam-5944	126	7	h	h	NOUN
ejpam-5944	126	8	is	be	AUX
ejpam-5944	126	9	the	the	DET
ejpam-5944	126	10	size	size	NOUN
ejpam-5944	126	11	of	of	ADP
ejpam-5944	126	12	the	the	DET
ejpam-5944	126	13	step	step	NOUN
ejpam-5944	126	14	.	.	PUNCT
ejpam-5944	127	1	the	the	DET
ejpam-5944	127	2	numerical	numerical	ADJ
ejpam-5944	127	3	solution	solution	NOUN
ejpam-5944	127	4	at	at	ADP
ejpam-5944	127	5	the	the	DET
ejpam-5944	127	6	next	next	ADJ
ejpam-5944	127	7	time	time	NOUN
ejpam-5944	127	8	step	step	NOUN
ejpam-5944	127	9	,	,	PUNCT
ejpam-5944	127	10	un+1	un+1	PROPN
ejpam-5944	127	11	,	,	PUNCT
ejpam-5944	127	12	is	be	AUX
ejpam-5944	127	13	computed	compute	VERB
ejpam-5944	127	14	as	as	ADP
ejpam-5944	127	15	:	:	PUNCT
ejpam-5944	127	16	un+1	un+1	PROPN
ejpam-5944	127	17	=	=	SYM
ejpam-5944	127	18	un	un	PROPN
ejpam-5944	127	19	+	+	CCONJ
ejpam-5944	127	20	a	a	DET
ejpam-5944	127	21	6	6	NUM
ejpam-5944	127	22	(	(	PUNCT
ejpam-5944	127	23	k1	k1	NOUN
ejpam-5944	127	24	+	+	CCONJ
ejpam-5944	127	25	2k2	2k2	NUM
ejpam-5944	127	26	+	+	CCONJ
ejpam-5944	127	27	2k3	2k3	NUM
ejpam-5944	127	28	+	+	CCONJ
ejpam-5944	127	29	k4	k4	NOUN
ejpam-5944	127	30	)	)	PUNCT
ejpam-5944	127	31	,	,	PUNCT
ejpam-5944	127	32	(	(	PUNCT
ejpam-5944	127	33	3.3	3.3	NUM
ejpam-5944	127	34	)	)	PUNCT
ejpam-5944	127	35	where	where	SCONJ
ejpam-5944	127	36	a	a	DET
ejpam-5944	127	37	=	=	X
ejpam-5944	127	38	hβ	hβ	NOUN
ejpam-5944	127	39	γ(β+1	γ(β+1	PROPN
ejpam-5944	127	40	)	)	PUNCT
ejpam-5944	127	41	and	and	CCONJ
ejpam-5944	127	42	the	the	DET
ejpam-5944	127	43	stage	stage	NOUN
ejpam-5944	127	44	values	value	NOUN
ejpam-5944	127	45	k1	k1	PROPN
ejpam-5944	127	46	,	,	PUNCT
ejpam-5944	127	47	k2	k2	PROPN
ejpam-5944	127	48	,	,	PUNCT
ejpam-5944	127	49	k3	k3	PROPN
ejpam-5944	127	50	,	,	PUNCT
ejpam-5944	127	51	k4	k4	PROPN
ejpam-5944	127	52	are	be	AUX
ejpam-5944	127	53	given	give	VERB
ejpam-5944	127	54	by	by	ADP
ejpam-5944	127	55	:	:	PUNCT
ejpam-5944	127	56	k1	k1	PROPN
ejpam-5944	127	57	=	=	SYM
ejpam-5944	127	58	f(tn	f(tn	PROPN
ejpam-5944	127	59	,	,	PUNCT
ejpam-5944	127	60	un	un	NOUN
ejpam-5944	127	61	)	)	PUNCT
ejpam-5944	127	62	,	,	PUNCT
ejpam-5944	127	63	k2	k2	NOUN
ejpam-5944	127	64	=	=	SYM
ejpam-5944	127	65	f	f	PROPN
ejpam-5944	127	66	(	(	PUNCT
ejpam-5944	127	67	tn	tn	PROPN
ejpam-5944	128	1	+	+	CCONJ
ejpam-5944	128	2	a	a	DET
ejpam-5944	128	3	2	2	NUM
ejpam-5944	128	4	,	,	PUNCT
ejpam-5944	128	5	un	un	PROPN
ejpam-5944	128	6	+	+	CCONJ
ejpam-5944	128	7	a	a	DET
ejpam-5944	128	8	2	2	NUM
ejpam-5944	128	9	k1	k1	NOUN
ejpam-5944	128	10	)	)	PUNCT
ejpam-5944	129	1	,	,	PUNCT
ejpam-5944	129	2	k3	k3	PROPN
ejpam-5944	129	3	=	=	SYM
ejpam-5944	129	4	f	f	PROPN
ejpam-5944	129	5	(	(	PUNCT
ejpam-5944	129	6	tn	tn	PROPN
ejpam-5944	129	7	+	+	CCONJ
ejpam-5944	129	8	a	a	DET
ejpam-5944	129	9	2	2	NUM
ejpam-5944	129	10	,	,	PUNCT
ejpam-5944	129	11	un	un	PROPN
ejpam-5944	130	1	+	+	CCONJ
ejpam-5944	130	2	a	a	DET
ejpam-5944	130	3	2	2	NUM
ejpam-5944	130	4	k2	k2	NOUN
ejpam-5944	130	5	)	)	PUNCT
ejpam-5944	130	6	,	,	PUNCT
ejpam-5944	130	7	k4	k4	NOUN
ejpam-5944	130	8	=	=	SYM
ejpam-5944	130	9	f(tn	f(tn	PROPN
ejpam-5944	130	10	+	+	CCONJ
ejpam-5944	130	11	a	a	PRON
ejpam-5944	130	12	,	,	PUNCT
ejpam-5944	130	13	un	un	PROPN
ejpam-5944	130	14	+	+	PROPN
ejpam-5944	130	15	ak3	ak3	NOUN
ejpam-5944	130	16	)	)	PUNCT
ejpam-5944	130	17	.	.	PUNCT
ejpam-5944	131	1	these	these	DET
ejpam-5944	131	2	stage	stage	NOUN
ejpam-5944	131	3	values	value	NOUN
ejpam-5944	131	4	approximate	approximate	VERB
ejpam-5944	131	5	the	the	DET
ejpam-5944	131	6	function	function	NOUN
ejpam-5944	131	7	f(t	f(t	NOUN
ejpam-5944	131	8	,	,	PUNCT
ejpam-5944	131	9	u(t	u(t	NOUN
ejpam-5944	131	10	)	)	PUNCT
ejpam-5944	131	11	)	)	PUNCT
ejpam-5944	131	12	at	at	ADP
ejpam-5944	131	13	intermediate	intermediate	ADJ
ejpam-5944	131	14	points	point	NOUN
ejpam-5944	131	15	,	,	PUNCT
ejpam-5944	131	16	weighted	weight	VERB
ejpam-5944	131	17	to	to	PART
ejpam-5944	131	18	account	account	VERB
ejpam-5944	131	19	for	for	ADP
ejpam-5944	131	20	the	the	DET
ejpam-5944	131	21	non	non	ADJ
ejpam-5944	131	22	-	-	ADJ
ejpam-5944	131	23	local	local	ADJ
ejpam-5944	131	24	behavior	behavior	NOUN
ejpam-5944	131	25	of	of	ADP
ejpam-5944	131	26	the	the	DET
ejpam-5944	131	27	fractional	fractional	ADJ
ejpam-5944	131	28	derivative	derivative	NOUN
ejpam-5944	131	29	.	.	PUNCT
ejpam-5944	132	1	the	the	DET
ejpam-5944	132	2	coefficients	coefficient	NOUN
ejpam-5944	132	3	(	(	PUNCT
ejpam-5944	132	4	1	1	NUM
ejpam-5944	132	5	,	,	PUNCT
ejpam-5944	132	6	2	2	NUM
ejpam-5944	132	7	,	,	PUNCT
ejpam-5944	132	8	2	2	NUM
ejpam-5944	132	9	,	,	PUNCT
ejpam-5944	132	10	1	1	NUM
ejpam-5944	132	11	)	)	PUNCT
ejpam-5944	132	12	mirror	mirror	VERB
ejpam-5944	132	13	the	the	DET
ejpam-5944	132	14	classical	classical	ADJ
ejpam-5944	132	15	runge	runge	NOUN
ejpam-5944	132	16	-	-	PUNCT
ejpam-5944	132	17	kutta	kutta	NOUN
ejpam-5944	132	18	method	method	NOUN
ejpam-5944	132	19	,	,	PUNCT
ejpam-5944	132	20	but	but	CCONJ
ejpam-5944	132	21	the	the	DET
ejpam-5944	132	22	time	time	NOUN
ejpam-5944	132	23	increments	increment	NOUN
ejpam-5944	132	24	and	and	CCONJ
ejpam-5944	132	25	arguments	argument	NOUN
ejpam-5944	132	26	are	be	AUX
ejpam-5944	132	27	scaled	scale	VERB
ejpam-5944	132	28	by	by	ADP
ejpam-5944	132	29	a	a	PRON
ejpam-5944	132	30	,	,	PUNCT
ejpam-5944	132	31	which	which	PRON
ejpam-5944	132	32	incorporates	incorporate	VERB
ejpam-5944	132	33	the	the	DET
ejpam-5944	132	34	fractional	fractional	ADJ
ejpam-5944	132	35	order	order	NOUN
ejpam-5944	132	36	β	β	NOUN
ejpam-5944	132	37	.	.	PUNCT
ejpam-5944	133	1	to	to	PART
ejpam-5944	133	2	apply	apply	VERB
ejpam-5944	133	3	the	the	DET
ejpam-5944	133	4	frk4	frk4	NOUN
ejpam-5944	133	5	method	method	NOUN
ejpam-5944	133	6	,	,	PUNCT
ejpam-5944	133	7	the	the	DET
ejpam-5944	133	8	following	follow	VERB
ejpam-5944	133	9	steps	step	NOUN
ejpam-5944	133	10	are	be	AUX
ejpam-5944	133	11	required	require	VERB
ejpam-5944	133	12	:	:	PUNCT
ejpam-5944	133	13	the	the	DET
ejpam-5944	133	14	basic	basic	ADJ
ejpam-5944	133	15	steps	step	NOUN
ejpam-5944	133	16	of	of	ADP
ejpam-5944	133	17	the	the	DET
ejpam-5944	133	18	proposed	propose	VERB
ejpam-5944	133	19	numerical	numerical	ADJ
ejpam-5944	133	20	method	method	NOUN
ejpam-5944	133	21	are	be	AUX
ejpam-5944	133	22	presented	present	VERB
ejpam-5944	133	23	in	in	ADP
ejpam-5944	133	24	algorithm	algorithm	NOUN
ejpam-5944	133	25	1	1	NUM
ejpam-5944	133	26	.	.	PUNCT
ejpam-5944	134	1	kamran	kamran	PROPN
ejpam-5944	134	2	et	et	PROPN
ejpam-5944	134	3	al	al	PROPN
ejpam-5944	134	4	.	.	PUNCT
ejpam-5944	134	5	/	/	SYM
ejpam-5944	134	6	eur	eur	PROPN
ejpam-5944	134	7	.	.	PUNCT
ejpam-5944	135	1	j.	j.	PROPN
ejpam-5944	135	2	pure	pure	PROPN
ejpam-5944	135	3	appl	appl	PROPN
ejpam-5944	135	4	.	.	PROPN
ejpam-5944	135	5	math	math	PROPN
ejpam-5944	135	6	,	,	PUNCT
ejpam-5944	135	7	18	18	NUM
ejpam-5944	135	8	(	(	PUNCT
ejpam-5944	135	9	2	2	NUM
ejpam-5944	135	10	)	)	PUNCT
ejpam-5944	135	11	(	(	PUNCT
ejpam-5944	135	12	2025	2025	NUM
ejpam-5944	135	13	)	)	PUNCT
ejpam-5944	135	14	,	,	PUNCT
ejpam-5944	135	15	5944	5944	NUM
ejpam-5944	135	16	7	7	NUM
ejpam-5944	135	17	of	of	ADP
ejpam-5944	135	18	32	32	NUM
ejpam-5944	135	19	algorithm	algorithm	NOUN
ejpam-5944	135	20	1	1	NUM
ejpam-5944	135	21	:	:	PUNCT
ejpam-5944	135	22	algorithm	algorithm	NOUN
ejpam-5944	135	23	for	for	ADP
ejpam-5944	135	24	the	the	DET
ejpam-5944	135	25	frk4	frk4	NOUN
ejpam-5944	135	26	method	method	NOUN
ejpam-5944	135	27	1	1	NUM
ejpam-5944	135	28	:	:	PUNCT
ejpam-5944	135	29	input	input	NOUN
ejpam-5944	135	30	:	:	PUNCT
ejpam-5944	135	31	initial	initial	ADJ
ejpam-5944	135	32	condition	condition	NOUN
ejpam-5944	135	33	u0	u0	ADJ
ejpam-5944	135	34	,	,	PUNCT
ejpam-5944	135	35	initial	initial	ADJ
ejpam-5944	135	36	time	time	NOUN
ejpam-5944	135	37	t0	t0	PROPN
ejpam-5944	135	38	,	,	PUNCT
ejpam-5944	135	39	final	final	ADJ
ejpam-5944	135	40	time	time	NOUN
ejpam-5944	135	41	t	t	NOUN
ejpam-5944	135	42	,	,	PUNCT
ejpam-5944	135	43	step	step	NOUN
ejpam-5944	135	44	size	size	NOUN
ejpam-5944	135	45	h	h	NOUN
ejpam-5944	135	46	,	,	PUNCT
ejpam-5944	135	47	function	function	VERB
ejpam-5944	135	48	f(t	f(t	NOUN
ejpam-5944	135	49	,	,	PUNCT
ejpam-5944	135	50	u	u	NOUN
ejpam-5944	135	51	)	)	PUNCT
ejpam-5944	135	52	,	,	PUNCT
ejpam-5944	135	53	fractional	fractional	ADJ
ejpam-5944	135	54	order	order	NOUN
ejpam-5944	135	55	β	β	NOUN
ejpam-5944	135	56	.	.	NOUN
ejpam-5944	136	1	2	2	NUM
ejpam-5944	136	2	:	:	PUNCT
ejpam-5944	136	3	outputs	output	NOUN
ejpam-5944	136	4	:	:	PUNCT
ejpam-5944	136	5	arrays	array	VERB
ejpam-5944	136	6	t	t	NOUN
ejpam-5944	136	7	(	(	PUNCT
ejpam-5944	136	8	time	time	NOUN
ejpam-5944	136	9	points	point	NOUN
ejpam-5944	136	10	)	)	PUNCT
ejpam-5944	136	11	and	and	CCONJ
ejpam-5944	136	12	u	u	PROPN
ejpam-5944	136	13	(	(	PUNCT
ejpam-5944	136	14	solutions	solution	NOUN
ejpam-5944	136	15	)	)	PUNCT
ejpam-5944	136	16	.	.	PUNCT
ejpam-5944	137	1	3	3	X
ejpam-5944	137	2	:	:	PUNCT
ejpam-5944	137	3	step	step	NOUN
ejpam-5944	137	4	(	(	PUNCT
ejpam-5944	137	5	a	a	X
ejpam-5944	137	6	):	):	PUNCT
ejpam-5944	137	7	discretize	discretize	NOUN
ejpam-5944	137	8	time	time	NOUN
ejpam-5944	137	9	compute	compute	PROPN
ejpam-5944	137	10	n	n	PROPN
ejpam-5944	137	11	=	=	SYM
ejpam-5944	137	12	t	t	PROPN
ejpam-5944	137	13	−t0	−t0	NOUN
ejpam-5944	137	14	h	h	NOUN
ejpam-5944	137	15	and	and	CCONJ
ejpam-5944	137	16	set	set	VERB
ejpam-5944	137	17	tn	tn	NOUN
ejpam-5944	137	18	=	=	SYM
ejpam-5944	137	19	t0	t0	PROPN
ejpam-5944	137	20	+	+	CCONJ
ejpam-5944	137	21	nh	nh	PROPN
ejpam-5944	137	22	.	.	PROPN
ejpam-5944	137	23	4	4	NUM
ejpam-5944	137	24	:	:	PUNCT
ejpam-5944	137	25	step	step	NOUN
ejpam-5944	137	26	(	(	PUNCT
ejpam-5944	137	27	b	b	NOUN
ejpam-5944	137	28	):	):	PUNCT
ejpam-5944	137	29	initialize	initialize	VERB
ejpam-5944	137	30	u[0	u[0	NOUN
ejpam-5944	137	31	]	]	X
ejpam-5944	137	32	=	=	SYM
ejpam-5944	137	33	u0	u0	ADJ
ejpam-5944	137	34	.	.	PUNCT
ejpam-5944	138	1	5	5	NUM
ejpam-5944	138	2	:	:	PUNCT
ejpam-5944	138	3	step	step	NOUN
ejpam-5944	138	4	(	(	PUNCT
ejpam-5944	138	5	c	c	NOUN
ejpam-5944	138	6	):	):	PUNCT
ejpam-5944	138	7	iterate	iterate	NOUN
ejpam-5944	138	8	loop	loop	NOUN
ejpam-5944	138	9	over	over	ADP
ejpam-5944	138	10	n	n	CCONJ
ejpam-5944	138	11	,	,	PUNCT
ejpam-5944	138	12	compute	compute	VERB
ejpam-5944	138	13	a	a	PRON
ejpam-5944	138	14	,	,	PUNCT
ejpam-5944	138	15	evaluate	evaluate	VERB
ejpam-5944	138	16	stages	stage	NOUN
ejpam-5944	138	17	k1	k1	NOUN
ejpam-5944	138	18	to	to	ADP
ejpam-5944	138	19	k4	k4	VERB
ejpam-5944	138	20	and	and	CCONJ
ejpam-5944	138	21	update	update	VERB
ejpam-5944	138	22	un+1	un+1	PROPN
ejpam-5944	138	23	.	.	PUNCT
ejpam-5944	139	1	6	6	NUM
ejpam-5944	139	2	:	:	PUNCT
ejpam-5944	139	3	step	step	NOUN
ejpam-5944	139	4	(	(	PUNCT
ejpam-5944	139	5	d	d	NOUN
ejpam-5944	139	6	):	):	PUNCT
ejpam-5944	139	7	return	return	NOUN
ejpam-5944	139	8	output	output	NOUN
ejpam-5944	139	9	t	t	PROPN
ejpam-5944	139	10	and	and	CCONJ
ejpam-5944	139	11	u.	u.	PROPN
ejpam-5944	139	12	3.3	3.3	NUM
ejpam-5944	139	13	.	.	PUNCT
ejpam-5944	140	1	limitations	limitation	NOUN
ejpam-5944	140	2	and	and	CCONJ
ejpam-5944	140	3	challenges	challenge	NOUN
ejpam-5944	140	4	while	while	SCONJ
ejpam-5944	140	5	the	the	DET
ejpam-5944	140	6	frk4	frk4	NOUN
ejpam-5944	140	7	method	method	NOUN
ejpam-5944	140	8	is	be	AUX
ejpam-5944	140	9	robust	robust	ADJ
ejpam-5944	141	1	,	,	PUNCT
ejpam-5944	141	2	its	its	PRON
ejpam-5944	141	3	computational	computational	ADJ
ejpam-5944	141	4	cost	cost	NOUN
ejpam-5944	141	5	is	be	AUX
ejpam-5944	141	6	a	a	DET
ejpam-5944	141	7	significant	significant	ADJ
ejpam-5944	141	8	drawback	drawback	NOUN
ejpam-5944	141	9	.	.	PUNCT
ejpam-5944	142	1	evaluation	evaluation	NOUN
ejpam-5944	142	2	of	of	ADP
ejpam-5944	142	3	k1	k1	PROPN
ejpam-5944	142	4	to	to	ADP
ejpam-5944	142	5	k4	k4	PROPN
ejpam-5944	142	6	requires	require	VERB
ejpam-5944	142	7	multiple	multiple	ADJ
ejpam-5944	142	8	function	function	NOUN
ejpam-5944	142	9	calls	call	NOUN
ejpam-5944	142	10	per	per	ADP
ejpam-5944	142	11	step	step	NOUN
ejpam-5944	142	12	,	,	PUNCT
ejpam-5944	142	13	and	and	CCONJ
ejpam-5944	142	14	the	the	DET
ejpam-5944	142	15	non	non	ADJ
ejpam-5944	142	16	-	-	ADJ
ejpam-5944	142	17	local	local	ADJ
ejpam-5944	142	18	nature	nature	NOUN
ejpam-5944	142	19	of	of	ADP
ejpam-5944	142	20	the	the	DET
ejpam-5944	142	21	fractional	fractional	ADJ
ejpam-5944	142	22	derivative	derivative	ADJ
ejpam-5944	142	23	increases	increase	NOUN
ejpam-5944	142	24	memory	memory	NOUN
ejpam-5944	142	25	requirements	requirement	NOUN
ejpam-5944	142	26	,	,	PUNCT
ejpam-5944	142	27	especially	especially	ADV
ejpam-5944	142	28	for	for	ADP
ejpam-5944	142	29	small	small	ADJ
ejpam-5944	142	30	h	h	NOUN
ejpam-5944	142	31	or	or	CCONJ
ejpam-5944	142	32	large	large	ADJ
ejpam-5944	142	33	t	t	NOUN
ejpam-5944	142	34	.	.	PUNCT
ejpam-5944	143	1	additionally	additionally	ADV
ejpam-5944	143	2	,	,	PUNCT
ejpam-5944	143	3	the	the	DET
ejpam-5944	143	4	method	method	NOUN
ejpam-5944	143	5	’s	’s	PART
ejpam-5944	143	6	accuracy	accuracy	NOUN
ejpam-5944	143	7	depends	depend	VERB
ejpam-5944	143	8	on	on	ADP
ejpam-5944	143	9	the	the	DET
ejpam-5944	143	10	smoothness	smoothness	NOUN
ejpam-5944	143	11	of	of	ADP
ejpam-5944	143	12	f(t	f(t	PROPN
ejpam-5944	143	13	,	,	PUNCT
ejpam-5944	143	14	u(t	u(t	NOUN
ejpam-5944	143	15	)	)	PUNCT
ejpam-5944	143	16	)	)	PUNCT
ejpam-5944	143	17	,	,	PUNCT
ejpam-5944	143	18	and	and	CCONJ
ejpam-5944	143	19	discontinuities	discontinuity	NOUN
ejpam-5944	143	20	or	or	CCONJ
ejpam-5944	143	21	singularities	singularity	NOUN
ejpam-5944	143	22	in	in	ADP
ejpam-5944	143	23	the	the	DET
ejpam-5944	143	24	solution	solution	NOUN
ejpam-5944	143	25	can	can	AUX
ejpam-5944	143	26	reduce	reduce	VERB
ejpam-5944	143	27	performance	performance	NOUN
ejpam-5944	143	28	.	.	PUNCT
ejpam-5944	144	1	3.4	3.4	NUM
ejpam-5944	144	2	.	.	PUNCT
ejpam-5944	144	3	fractional	fractional	ADJ
ejpam-5944	144	4	seir	seir	ADJ
ejpam-5944	144	5	model	model	NOUN
ejpam-5944	144	6	the	the	DET
ejpam-5944	144	7	seir	seir	NOUN
ejpam-5944	144	8	model	model	NOUN
ejpam-5944	144	9	is	be	AUX
ejpam-5944	144	10	a	a	DET
ejpam-5944	144	11	cornerstone	cornerstone	NOUN
ejpam-5944	144	12	of	of	ADP
ejpam-5944	144	13	mathematical	mathematical	ADJ
ejpam-5944	144	14	epidemiology	epidemiology	NOUN
ejpam-5944	144	15	,	,	PUNCT
ejpam-5944	144	16	used	use	VERB
ejpam-5944	144	17	to	to	PART
ejpam-5944	144	18	describe	describe	VERB
ejpam-5944	144	19	the	the	DET
ejpam-5944	144	20	spread	spread	NOUN
ejpam-5944	144	21	of	of	ADP
ejpam-5944	144	22	infectious	infectious	ADJ
ejpam-5944	144	23	diseases	disease	NOUN
ejpam-5944	144	24	by	by	ADP
ejpam-5944	144	25	dividing	divide	VERB
ejpam-5944	144	26	a	a	DET
ejpam-5944	144	27	population	population	NOUN
ejpam-5944	144	28	into	into	ADP
ejpam-5944	144	29	four	four	NUM
ejpam-5944	144	30	compartments	compartment	NOUN
ejpam-5944	144	31	:	:	PUNCT
ejpam-5944	144	32	susceptible	susceptible	ADJ
ejpam-5944	144	33	(	(	PUNCT
ejpam-5944	144	34	s	s	NOUN
ejpam-5944	144	35	)	)	PUNCT
ejpam-5944	144	36	,	,	PUNCT
ejpam-5944	144	37	exposed	expose	VERB
ejpam-5944	144	38	(	(	PUNCT
ejpam-5944	144	39	e	e	NOUN
ejpam-5944	144	40	)	)	PUNCT
ejpam-5944	144	41	,	,	PUNCT
ejpam-5944	144	42	infected	infect	VERB
ejpam-5944	144	43	(	(	PUNCT
ejpam-5944	144	44	i	i	NOUN
ejpam-5944	144	45	)	)	PUNCT
ejpam-5944	144	46	,	,	PUNCT
ejpam-5944	144	47	and	and	CCONJ
ejpam-5944	144	48	recovered	recover	VERB
ejpam-5944	144	49	(	(	PUNCT
ejpam-5944	144	50	r	r	NOUN
ejpam-5944	144	51	)	)	PUNCT
ejpam-5944	144	52	.	.	PUNCT
ejpam-5944	145	1	in	in	ADP
ejpam-5944	145	2	this	this	DET
ejpam-5944	145	3	section	section	NOUN
ejpam-5944	145	4	,	,	PUNCT
ejpam-5944	145	5	we	we	PRON
ejpam-5944	145	6	employ	employ	VERB
ejpam-5944	145	7	the	the	DET
ejpam-5944	145	8	fractional	fractional	ADJ
ejpam-5944	145	9	runge	runge	NOUN
ejpam-5944	145	10	-	-	PUNCT
ejpam-5944	145	11	kutta	kutta	NOUN
ejpam-5944	145	12	method	method	NOUN
ejpam-5944	145	13	of	of	ADP
ejpam-5944	145	14	order	order	NOUN
ejpam-5944	145	15	four	four	NUM
ejpam-5944	145	16	(	(	PUNCT
ejpam-5944	145	17	frk4	frk4	NOUN
ejpam-5944	145	18	)	)	PUNCT
ejpam-5944	145	19	to	to	PART
ejpam-5944	145	20	numerically	numerically	ADV
ejpam-5944	145	21	solve	solve	VERB
ejpam-5944	145	22	a	a	DET
ejpam-5944	145	23	fractional	fractional	ADJ
ejpam-5944	145	24	-	-	PUNCT
ejpam-5944	145	25	order	order	NOUN
ejpam-5944	145	26	seir	seir	NOUN
ejpam-5944	145	27	model	model	NOUN
ejpam-5944	145	28	,	,	PUNCT
ejpam-5944	145	29	which	which	PRON
ejpam-5944	145	30	incorporates	incorporate	VERB
ejpam-5944	145	31	caputo	caputo	PROPN
ejpam-5944	145	32	fractional	fractional	ADJ
ejpam-5944	145	33	derivatives	derivative	NOUN
ejpam-5944	145	34	of	of	ADP
ejpam-5944	145	35	order	order	NOUN
ejpam-5944	145	36	0	0	PUNCT
ejpam-5944	145	37	<	<	X
ejpam-5944	145	38	β	β	X
ejpam-5944	145	39	<	<	X
ejpam-5944	145	40	1	1	NUM
ejpam-5944	145	41	to	to	PART
ejpam-5944	145	42	capture	capture	VERB
ejpam-5944	145	43	memory	memory	NOUN
ejpam-5944	145	44	effects	effect	NOUN
ejpam-5944	145	45	and	and	CCONJ
ejpam-5944	145	46	non	non	ADJ
ejpam-5944	145	47	-	-	ADJ
ejpam-5944	145	48	local	local	ADJ
ejpam-5944	145	49	dynamics	dynamic	NOUN
ejpam-5944	145	50	in	in	ADP
ejpam-5944	145	51	disease	disease	NOUN
ejpam-5944	145	52	transmission	transmission	NOUN
ejpam-5944	145	53	.	.	PUNCT
ejpam-5944	146	1	fractional	fractional	ADJ
ejpam-5944	146	2	derivatives	derivative	NOUN
ejpam-5944	146	3	are	be	AUX
ejpam-5944	146	4	particularly	particularly	ADV
ejpam-5944	146	5	suited	suit	VERB
ejpam-5944	146	6	for	for	ADP
ejpam-5944	146	7	epidemiological	epidemiological	ADJ
ejpam-5944	146	8	models	model	NOUN
ejpam-5944	146	9	because	because	SCONJ
ejpam-5944	146	10	they	they	PRON
ejpam-5944	146	11	account	account	VERB
ejpam-5944	146	12	for	for	ADP
ejpam-5944	146	13	historical	historical	ADJ
ejpam-5944	146	14	dependencies	dependency	NOUN
ejpam-5944	146	15	,	,	PUNCT
ejpam-5944	146	16	such	such	ADJ
ejpam-5944	146	17	as	as	ADP
ejpam-5944	146	18	prolonged	prolonged	ADJ
ejpam-5944	146	19	incubation	incubation	NOUN
ejpam-5944	146	20	periods	period	NOUN
ejpam-5944	146	21	or	or	CCONJ
ejpam-5944	146	22	persistent	persistent	ADJ
ejpam-5944	146	23	immunity	immunity	NOUN
ejpam-5944	146	24	,	,	PUNCT
ejpam-5944	146	25	which	which	PRON
ejpam-5944	146	26	standard	standard	ADJ
ejpam-5944	146	27	integer	integer	NOUN
ejpam-5944	146	28	-	-	PUNCT
ejpam-5944	146	29	order	order	NOUN
ejpam-5944	146	30	derivatives	derivative	NOUN
ejpam-5944	146	31	can	can	AUX
ejpam-5944	146	32	not	not	PART
ejpam-5944	146	33	model	model	VERB
ejpam-5944	146	34	effectively	effectively	ADV
ejpam-5944	146	35	.	.	PUNCT
ejpam-5944	147	1	the	the	DET
ejpam-5944	147	2	fractional	fractional	ADJ
ejpam-5944	147	3	seir	seir	NOUN
ejpam-5944	147	4	model	model	NOUN
ejpam-5944	147	5	is	be	AUX
ejpam-5944	147	6	defined	define	VERB
ejpam-5944	147	7	as	as	ADP
ejpam-5944	147	8	:	:	PUNCT
ejpam-5944	147	9	c	c	PROPN
ejpam-5944	147	10	0dβ	0dβ	PROPN
ejpam-5944	147	11	t	t	PROPN
ejpam-5944	147	12	s	s	NOUN
ejpam-5944	147	13	=	=	SYM
ejpam-5944	147	14	bn	bn	PROPN
ejpam-5944	147	15	−	−	PROPN
ejpam-5944	147	16	pbe	pbe	PROPN
ejpam-5944	147	17	−	−	PROPN
ejpam-5944	147	18	qbi	qbi	NOUN
ejpam-5944	147	19	−	−	NOUN
ejpam-5944	147	20	r	r	NOUN
ejpam-5944	147	21	si	si	NOUN
ejpam-5944	147	22	n	n	CCONJ
ejpam-5944	147	23	−	−	PROPN
ejpam-5944	147	24	d(n)s	d(n)s	PROPN
ejpam-5944	147	25	,	,	PUNCT
ejpam-5944	148	1	c	c	PROPN
ejpam-5944	148	2	0dβ	0dβ	NOUN
ejpam-5944	148	3	t	t	PROPN
ejpam-5944	148	4	e	e	X
ejpam-5944	148	5	=	=	SYM
ejpam-5944	148	6	pbe	pbe	PROPN
ejpam-5944	148	7	+	+	CCONJ
ejpam-5944	148	8	qbi	qbi	ADJ
ejpam-5944	149	1	+	+	CCONJ
ejpam-5944	149	2	r	r	NOUN
ejpam-5944	149	3	si	si	NOUN
ejpam-5944	149	4	n	n	CCONJ
ejpam-5944	149	5	−	−	PROPN
ejpam-5944	149	6	d(n)e	d(n)e	PROPN
ejpam-5944	149	7	,	,	PUNCT
ejpam-5944	150	1	c	c	PROPN
ejpam-5944	150	2	0dβ	0dβ	PROPN
ejpam-5944	150	3	t	t	PROPN
ejpam-5944	151	1	i	i	PRON
ejpam-5944	151	2	=	=	PUNCT
ejpam-5944	151	3	ηe	ηe	ADP
ejpam-5944	151	4	−	−	PROPN
ejpam-5944	151	5	θi	θi	ADP
ejpam-5944	151	6	−	−	PROPN
ejpam-5944	151	7	γi	γi	NOUN
ejpam-5944	152	1	−	−	PROPN
ejpam-5944	152	2	d(n)i	d(n)i	PROPN
ejpam-5944	152	3	,	,	PUNCT
ejpam-5944	152	4	c	c	PROPN
ejpam-5944	152	5	0dβ	0dβ	NOUN
ejpam-5944	152	6	t	t	PROPN
ejpam-5944	152	7	r	r	NOUN
ejpam-5944	152	8	=	=	SYM
ejpam-5944	152	9	γi	γi	PROPN
ejpam-5944	152	10	−	−	PROPN
ejpam-5944	152	11	d(n)r	d(n)r	PROPN
ejpam-5944	152	12	.	.	PUNCT
ejpam-5944	153	1	(	(	PUNCT
ejpam-5944	153	2	3.4	3.4	NUM
ejpam-5944	153	3	)	)	PUNCT
ejpam-5944	153	4	s(0	s(0	PROPN
ejpam-5944	153	5	)	)	PUNCT
ejpam-5944	153	6	=	=	SYM
ejpam-5944	153	7	s0	s0	PROPN
ejpam-5944	153	8	,	,	PUNCT
ejpam-5944	153	9	e(0	e(0	NOUN
ejpam-5944	153	10	)	)	PUNCT
ejpam-5944	153	11	=	=	SYM
ejpam-5944	153	12	e0	e0	PROPN
ejpam-5944	153	13	,	,	PUNCT
ejpam-5944	153	14	i(0	i(0	PROPN
ejpam-5944	153	15	)	)	PUNCT
ejpam-5944	153	16	=	=	SYM
ejpam-5944	153	17	i0	i0	PROPN
ejpam-5944	153	18	,	,	PUNCT
ejpam-5944	153	19	r(0	r(0	PROPN
ejpam-5944	153	20	)	)	PUNCT
ejpam-5944	153	21	=	=	SYM
ejpam-5944	153	22	r0	r0	NOUN
ejpam-5944	153	23	,	,	PUNCT
ejpam-5944	153	24	0	0	PUNCT
ejpam-5944	153	25	<	<	X
ejpam-5944	153	26	β	β	X
ejpam-5944	153	27	<	<	X
ejpam-5944	153	28	1	1	NUM
ejpam-5944	153	29	.	.	PUNCT
ejpam-5944	154	1	kamran	kamran	PROPN
ejpam-5944	154	2	et	et	PROPN
ejpam-5944	154	3	al	al	PROPN
ejpam-5944	154	4	.	.	PUNCT
ejpam-5944	154	5	/	/	SYM
ejpam-5944	154	6	eur	eur	PROPN
ejpam-5944	154	7	.	.	PUNCT
ejpam-5944	155	1	j.	j.	PROPN
ejpam-5944	155	2	pure	pure	PROPN
ejpam-5944	155	3	appl	appl	PROPN
ejpam-5944	155	4	.	.	PROPN
ejpam-5944	155	5	math	math	PROPN
ejpam-5944	155	6	,	,	PUNCT
ejpam-5944	155	7	18	18	NUM
ejpam-5944	155	8	(	(	PUNCT
ejpam-5944	155	9	2	2	NUM
ejpam-5944	155	10	)	)	PUNCT
ejpam-5944	155	11	(	(	PUNCT
ejpam-5944	155	12	2025	2025	NUM
ejpam-5944	155	13	)	)	PUNCT
ejpam-5944	155	14	,	,	PUNCT
ejpam-5944	155	15	5944	5944	NUM
ejpam-5944	155	16	8	8	NUM
ejpam-5944	155	17	of	of	ADP
ejpam-5944	155	18	32	32	NUM
ejpam-5944	155	19	here	here	ADV
ejpam-5944	155	20	,	,	PUNCT
ejpam-5944	155	21	n	n	PROPN
ejpam-5944	155	22	=	=	SYM
ejpam-5944	155	23	s	s	PART
ejpam-5944	155	24	+	+	NUM
ejpam-5944	155	25	e	e	NOUN
ejpam-5944	156	1	+	+	NOUN
ejpam-5944	156	2	i	i	PRON
ejpam-5944	157	1	+	+	CCONJ
ejpam-5944	157	2	r	r	NOUN
ejpam-5944	157	3	is	be	AUX
ejpam-5944	157	4	the	the	DET
ejpam-5944	157	5	total	total	ADJ
ejpam-5944	157	6	population	population	NOUN
ejpam-5944	157	7	,	,	PUNCT
ejpam-5944	157	8	assumed	assume	VERB
ejpam-5944	157	9	constant	constant	ADJ
ejpam-5944	157	10	for	for	ADP
ejpam-5944	157	11	simplicity	simplicity	NOUN
ejpam-5944	157	12	.	.	PUNCT
ejpam-5944	158	1	the	the	DET
ejpam-5944	158	2	parameters	parameter	NOUN
ejpam-5944	158	3	have	have	VERB
ejpam-5944	158	4	the	the	DET
ejpam-5944	158	5	following	follow	VERB
ejpam-5944	158	6	epidemiological	epidemiological	ADJ
ejpam-5944	158	7	interpretations	interpretation	NOUN
ejpam-5944	158	8	:	:	PUNCT
ejpam-5944	158	9	•	•	NUM
ejpam-5944	158	10	b	b	NOUN
ejpam-5944	158	11	:	:	PUNCT
ejpam-5944	158	12	birth	birth	NOUN
ejpam-5944	158	13	rate	rate	NOUN
ejpam-5944	158	14	(	(	PUNCT
ejpam-5944	158	15	new	new	ADJ
ejpam-5944	158	16	individuals	individual	NOUN
ejpam-5944	158	17	entering	enter	VERB
ejpam-5944	158	18	the	the	DET
ejpam-5944	158	19	susceptible	susceptible	ADJ
ejpam-5944	158	20	population	population	NOUN
ejpam-5944	158	21	)	)	PUNCT
ejpam-5944	158	22	.	.	PUNCT
ejpam-5944	159	1	•	•	NUM
ejpam-5944	160	1	p	p	X
ejpam-5944	160	2	:	:	PUNCT
ejpam-5944	160	3	probability	probability	NOUN
ejpam-5944	160	4	of	of	ADP
ejpam-5944	160	5	exposure	exposure	NOUN
ejpam-5944	160	6	from	from	ADP
ejpam-5944	160	7	contact	contact	NOUN
ejpam-5944	160	8	with	with	ADP
ejpam-5944	160	9	exposed	expose	VERB
ejpam-5944	160	10	individuals	individual	NOUN
ejpam-5944	160	11	.	.	PUNCT
ejpam-5944	161	1	•	•	NUM
ejpam-5944	161	2	q	q	NOUN
ejpam-5944	161	3	:	:	PUNCT
ejpam-5944	161	4	probability	probability	NOUN
ejpam-5944	161	5	of	of	ADP
ejpam-5944	161	6	exposure	exposure	NOUN
ejpam-5944	161	7	from	from	ADP
ejpam-5944	161	8	contact	contact	NOUN
ejpam-5944	161	9	with	with	ADP
ejpam-5944	161	10	infected	infected	ADJ
ejpam-5944	161	11	individuals	individual	NOUN
ejpam-5944	161	12	.	.	PUNCT
ejpam-5944	162	1	•	•	NUM
ejpam-5944	162	2	r	r	NOUN
ejpam-5944	162	3	:	:	PUNCT
ejpam-5944	162	4	transmission	transmission	NOUN
ejpam-5944	162	5	rate	rate	NOUN
ejpam-5944	162	6	due	due	ADP
ejpam-5944	162	7	to	to	ADP
ejpam-5944	162	8	interactions	interaction	NOUN
ejpam-5944	162	9	between	between	ADP
ejpam-5944	162	10	susceptible	susceptible	ADJ
ejpam-5944	162	11	and	and	CCONJ
ejpam-5944	162	12	infected	infected	ADJ
ejpam-5944	162	13	individuals	individual	NOUN
ejpam-5944	162	14	.	.	PUNCT
ejpam-5944	163	1	•	•	NUM
ejpam-5944	163	2	d(n	d(n	NOUN
ejpam-5944	163	3	):	):	PUNCT
ejpam-5944	163	4	natural	natural	ADJ
ejpam-5944	163	5	death	death	NOUN
ejpam-5944	163	6	rate	rate	NOUN
ejpam-5944	163	7	,	,	PUNCT
ejpam-5944	163	8	potentially	potentially	ADV
ejpam-5944	163	9	density	density	NOUN
ejpam-5944	163	10	-	-	PUNCT
ejpam-5944	163	11	dependent	dependent	ADJ
ejpam-5944	163	12	.	.	PUNCT
ejpam-5944	164	1	•	•	NUM
ejpam-5944	164	2	η	η	NOUN
ejpam-5944	164	3	:	:	PUNCT
ejpam-5944	164	4	rate	rate	NOUN
ejpam-5944	164	5	at	at	ADP
ejpam-5944	164	6	which	which	PRON
ejpam-5944	164	7	exposed	expose	VERB
ejpam-5944	164	8	individuals	individual	NOUN
ejpam-5944	164	9	become	become	VERB
ejpam-5944	164	10	infectious	infectious	ADJ
ejpam-5944	164	11	.	.	PUNCT
ejpam-5944	165	1	•	•	NUM
ejpam-5944	165	2	θ	θ	NOUN
ejpam-5944	165	3	:	:	PUNCT
ejpam-5944	165	4	disease	disease	NOUN
ejpam-5944	165	5	-	-	PUNCT
ejpam-5944	165	6	induced	induce	VERB
ejpam-5944	165	7	mortality	mortality	NOUN
ejpam-5944	165	8	rate	rate	NOUN
ejpam-5944	165	9	.	.	PUNCT
ejpam-5944	166	1	•	•	NUM
ejpam-5944	166	2	γ	γ	X
ejpam-5944	166	3	:	:	PUNCT
ejpam-5944	166	4	recovery	recovery	NOUN
ejpam-5944	166	5	rate	rate	NOUN
ejpam-5944	166	6	of	of	ADP
ejpam-5944	166	7	infected	infected	ADJ
ejpam-5944	166	8	individuals	individual	NOUN
ejpam-5944	166	9	.	.	PUNCT
ejpam-5944	167	1	the	the	DET
ejpam-5944	167	2	fractional	fractional	ADJ
ejpam-5944	167	3	derivative	derivative	ADJ
ejpam-5944	167	4	c	c	NOUN
ejpam-5944	167	5	0	0	PUNCT
ejpam-5944	168	1	dβ	dβ	ADP
ejpam-5944	168	2	t	t	PROPN
ejpam-5944	168	3	,	,	PUNCT
ejpam-5944	168	4	introduces	introduce	VERB
ejpam-5944	168	5	memory	memory	NOUN
ejpam-5944	168	6	effects	effect	NOUN
ejpam-5944	168	7	,	,	PUNCT
ejpam-5944	168	8	allowing	allow	VERB
ejpam-5944	168	9	the	the	DET
ejpam-5944	168	10	model	model	NOUN
ejpam-5944	168	11	to	to	PART
ejpam-5944	168	12	reflect	reflect	VERB
ejpam-5944	168	13	phenomena	phenomenon	NOUN
ejpam-5944	168	14	like	like	ADP
ejpam-5944	168	15	delayed	delay	VERB
ejpam-5944	168	16	disease	disease	NOUN
ejpam-5944	168	17	progression	progression	NOUN
ejpam-5944	168	18	or	or	CCONJ
ejpam-5944	168	19	long	long	ADJ
ejpam-5944	168	20	-	-	PUNCT
ejpam-5944	168	21	term	term	NOUN
ejpam-5944	168	22	immunity	immunity	NOUN
ejpam-5944	168	23	,	,	PUNCT
ejpam-5944	168	24	with	with	ADP
ejpam-5944	168	25	β	β	X
ejpam-5944	168	26	=	=	SYM
ejpam-5944	168	27	1	1	NUM
ejpam-5944	168	28	recovering	recover	VERB
ejpam-5944	168	29	the	the	DET
ejpam-5944	168	30	classical	classical	ADJ
ejpam-5944	168	31	seir	seir	NOUN
ejpam-5944	168	32	model	model	NOUN
ejpam-5944	168	33	.	.	PUNCT
ejpam-5944	169	1	to	to	PART
ejpam-5944	169	2	apply	apply	VERB
ejpam-5944	169	3	the	the	DET
ejpam-5944	169	4	frk4	frk4	NOUN
ejpam-5944	169	5	method	method	NOUN
ejpam-5944	169	6	,	,	PUNCT
ejpam-5944	169	7	we	we	PRON
ejpam-5944	169	8	rewrite	rewrite	VERB
ejpam-5944	169	9	the	the	DET
ejpam-5944	169	10	system	system	NOUN
ejpam-5944	169	11	by	by	ADP
ejpam-5944	169	12	defining	define	VERB
ejpam-5944	169	13	the	the	DET
ejpam-5944	169	14	right	right	ADJ
ejpam-5944	169	15	-	-	PUNCT
ejpam-5944	169	16	hand	hand	NOUN
ejpam-5944	169	17	side	side	NOUN
ejpam-5944	169	18	functions	function	NOUN
ejpam-5944	169	19	:	:	PUNCT
ejpam-5944	170	1	f1(t	f1(t	NUM
ejpam-5944	170	2	,	,	PUNCT
ejpam-5944	170	3	s	s	X
ejpam-5944	170	4	,	,	PUNCT
ejpam-5944	170	5	e	e	NOUN
ejpam-5944	170	6	,	,	PUNCT
ejpam-5944	170	7	i	i	PRON
ejpam-5944	170	8	,	,	PUNCT
ejpam-5944	170	9	r	r	NOUN
ejpam-5944	170	10	)	)	PUNCT
ejpam-5944	170	11	=	=	SYM
ejpam-5944	171	1	bn	bn	NUM
ejpam-5944	171	2	−	−	PROPN
ejpam-5944	172	1	pbe	pbe	PROPN
ejpam-5944	172	2	−	−	PROPN
ejpam-5944	172	3	qbi	qbi	NOUN
ejpam-5944	172	4	−	−	NOUN
ejpam-5944	172	5	r	r	NOUN
ejpam-5944	172	6	si	si	NOUN
ejpam-5944	172	7	n	n	CCONJ
ejpam-5944	172	8	−	−	PROPN
ejpam-5944	172	9	d(n)s	d(n)s	PROPN
ejpam-5944	172	10	,	,	PUNCT
ejpam-5944	172	11	f2(t	f2(t	PROPN
ejpam-5944	172	12	,	,	PUNCT
ejpam-5944	172	13	s	s	X
ejpam-5944	172	14	,	,	PUNCT
ejpam-5944	172	15	e	e	NOUN
ejpam-5944	172	16	,	,	PUNCT
ejpam-5944	172	17	i	i	PRON
ejpam-5944	172	18	,	,	PUNCT
ejpam-5944	172	19	r	r	NOUN
ejpam-5944	172	20	)	)	PUNCT
ejpam-5944	172	21	=	=	SYM
ejpam-5944	172	22	pbe	pbe	PROPN
ejpam-5944	173	1	+	+	CCONJ
ejpam-5944	173	2	qbi	qbi	ADJ
ejpam-5944	173	3	+	+	CCONJ
ejpam-5944	173	4	r	r	NOUN
ejpam-5944	173	5	si	si	NOUN
ejpam-5944	173	6	n	n	CCONJ
ejpam-5944	173	7	−	−	PROPN
ejpam-5944	173	8	d(n)e	d(n)e	PROPN
ejpam-5944	173	9	,	,	PUNCT
ejpam-5944	173	10	f3(t	f3(t	PROPN
ejpam-5944	173	11	,	,	PUNCT
ejpam-5944	173	12	s	s	X
ejpam-5944	173	13	,	,	PUNCT
ejpam-5944	173	14	e	e	NOUN
ejpam-5944	173	15	,	,	PUNCT
ejpam-5944	173	16	i	i	PRON
ejpam-5944	173	17	,	,	PUNCT
ejpam-5944	173	18	r	r	NOUN
ejpam-5944	173	19	)	)	PUNCT
ejpam-5944	174	1	=	=	NOUN
ejpam-5944	174	2	ηe	ηe	ADP
ejpam-5944	174	3	−	−	PROPN
ejpam-5944	174	4	θi	θi	ADP
ejpam-5944	174	5	−	−	PROPN
ejpam-5944	174	6	γi	γi	NOUN
ejpam-5944	175	1	−	−	PROPN
ejpam-5944	175	2	d(n)i	d(n)i	PROPN
ejpam-5944	175	3	,	,	PUNCT
ejpam-5944	175	4	f4(t	f4(t	PROPN
ejpam-5944	175	5	,	,	PUNCT
ejpam-5944	175	6	s	s	X
ejpam-5944	175	7	,	,	PUNCT
ejpam-5944	175	8	e	e	NOUN
ejpam-5944	175	9	,	,	PUNCT
ejpam-5944	175	10	i	i	PRON
ejpam-5944	175	11	,	,	PUNCT
ejpam-5944	175	12	r	r	NOUN
ejpam-5944	175	13	)	)	PUNCT
ejpam-5944	175	14	=	=	SYM
ejpam-5944	175	15	γi	γi	ADP
ejpam-5944	175	16	−	−	PROPN
ejpam-5944	175	17	d(n)r	d(n)r	PROPN
ejpam-5944	175	18	.	.	PUNCT
ejpam-5944	176	1	thus	thus	ADV
ejpam-5944	176	2	,	,	PUNCT
ejpam-5944	176	3	the	the	DET
ejpam-5944	176	4	seir	seir	ADJ
ejpam-5944	176	5	model	model	NOUN
ejpam-5944	176	6	becomes	become	VERB
ejpam-5944	176	7	:	:	PUNCT
ejpam-5944	176	8	c	c	PROPN
ejpam-5944	176	9	0dβ	0dβ	NOUN
ejpam-5944	176	10	t	t	PROPN
ejpam-5944	176	11	s	s	PART
ejpam-5944	176	12	=	=	SYM
ejpam-5944	176	13	f1(t	f1(t	PROPN
ejpam-5944	176	14	,	,	PUNCT
ejpam-5944	176	15	s	s	X
ejpam-5944	176	16	,	,	PUNCT
ejpam-5944	176	17	e	e	NOUN
ejpam-5944	176	18	,	,	PUNCT
ejpam-5944	176	19	i	i	PRON
ejpam-5944	176	20	,	,	PUNCT
ejpam-5944	176	21	r	r	NOUN
ejpam-5944	176	22	)	)	PUNCT
ejpam-5944	176	23	c	c	NOUN
ejpam-5944	176	24	0dβ	0dβ	NOUN
ejpam-5944	176	25	t	t	X
ejpam-5944	176	26	e	e	X
ejpam-5944	176	27	=	=	SYM
ejpam-5944	176	28	f2(t	f2(t	PROPN
ejpam-5944	176	29	,	,	PUNCT
ejpam-5944	176	30	s	s	X
ejpam-5944	176	31	,	,	PUNCT
ejpam-5944	176	32	e	e	NOUN
ejpam-5944	176	33	,	,	PUNCT
ejpam-5944	176	34	i	i	PRON
ejpam-5944	176	35	,	,	PUNCT
ejpam-5944	176	36	r	r	NOUN
ejpam-5944	176	37	)	)	PUNCT
ejpam-5944	176	38	c	c	NOUN
ejpam-5944	176	39	0dβ	0dβ	PROPN
ejpam-5944	177	1	t	t	PROPN
ejpam-5944	177	2	i	i	PRON
ejpam-5944	177	3	=	=	SYM
ejpam-5944	177	4	f3(t	f3(t	PROPN
ejpam-5944	177	5	,	,	PUNCT
ejpam-5944	177	6	s	s	X
ejpam-5944	177	7	,	,	PUNCT
ejpam-5944	177	8	e	e	NOUN
ejpam-5944	177	9	,	,	PUNCT
ejpam-5944	177	10	i	i	PRON
ejpam-5944	177	11	,	,	PUNCT
ejpam-5944	177	12	r	r	NOUN
ejpam-5944	177	13	)	)	PUNCT
ejpam-5944	177	14	c	c	NOUN
ejpam-5944	177	15	0dβ	0dβ	NOUN
ejpam-5944	177	16	t	t	PROPN
ejpam-5944	177	17	r	r	NOUN
ejpam-5944	177	18	=	=	SYM
ejpam-5944	177	19	f4(t	f4(t	PROPN
ejpam-5944	177	20	,	,	PUNCT
ejpam-5944	177	21	s	s	X
ejpam-5944	177	22	,	,	PUNCT
ejpam-5944	177	23	e	e	NOUN
ejpam-5944	177	24	,	,	PUNCT
ejpam-5944	177	25	i	i	PRON
ejpam-5944	177	26	,	,	PUNCT
ejpam-5944	177	27	r	r	NOUN
ejpam-5944	177	28	)	)	PUNCT
ejpam-5944	177	29	kamran	kamran	PROPN
ejpam-5944	177	30	et	et	PROPN
ejpam-5944	177	31	al	al	PROPN
ejpam-5944	177	32	.	.	PUNCT
ejpam-5944	177	33	/	/	SYM
ejpam-5944	177	34	eur	eur	PROPN
ejpam-5944	177	35	.	.	PUNCT
ejpam-5944	178	1	j.	j.	PROPN
ejpam-5944	178	2	pure	pure	PROPN
ejpam-5944	178	3	appl	appl	PROPN
ejpam-5944	178	4	.	.	PROPN
ejpam-5944	178	5	math	math	PROPN
ejpam-5944	178	6	,	,	PUNCT
ejpam-5944	178	7	18	18	NUM
ejpam-5944	178	8	(	(	PUNCT
ejpam-5944	178	9	2	2	NUM
ejpam-5944	178	10	)	)	PUNCT
ejpam-5944	178	11	(	(	PUNCT
ejpam-5944	178	12	2025	2025	NUM
ejpam-5944	178	13	)	)	PUNCT
ejpam-5944	178	14	,	,	PUNCT
ejpam-5944	178	15	5944	5944	NUM
ejpam-5944	178	16	9	9	NUM
ejpam-5944	178	17	of	of	ADP
ejpam-5944	178	18	32	32	NUM
ejpam-5944	178	19	the	the	DET
ejpam-5944	178	20	frk4	frk4	NOUN
ejpam-5944	178	21	method	method	NOUN
ejpam-5944	178	22	approximates	approximate	VERB
ejpam-5944	178	23	the	the	DET
ejpam-5944	178	24	solution	solution	NOUN
ejpam-5944	178	25	at	at	ADP
ejpam-5944	178	26	discrete	discrete	ADJ
ejpam-5944	178	27	time	time	NOUN
ejpam-5944	178	28	points	point	NOUN
ejpam-5944	178	29	tn	tn	NOUN
ejpam-5944	179	1	=	=	SYM
ejpam-5944	179	2	t0	t0	PROPN
ejpam-5944	179	3	+	+	CCONJ
ejpam-5944	179	4	nh	nh	PROPN
ejpam-5944	179	5	,	,	PUNCT
ejpam-5944	179	6	where	where	SCONJ
ejpam-5944	179	7	h	h	NOUN
ejpam-5944	179	8	is	be	AUX
ejpam-5944	179	9	the	the	DET
ejpam-5944	179	10	step	step	NOUN
ejpam-5944	179	11	size	size	NOUN
ejpam-5944	179	12	,	,	PUNCT
ejpam-5944	179	13	by	by	ADP
ejpam-5944	179	14	computing	compute	VERB
ejpam-5944	179	15	:	:	PUNCT
ejpam-5944	179	16	sn+1	sn+1	X
ejpam-5944	179	17	=	=	SYM
ejpam-5944	179	18	sn	sn	PROPN
ejpam-5944	179	19	+	+	CCONJ
ejpam-5944	179	20	a	a	DET
ejpam-5944	179	21	6	6	NUM
ejpam-5944	179	22	(	(	PUNCT
ejpam-5944	179	23	k1s	k1s	NOUN
ejpam-5944	179	24	+	+	CCONJ
ejpam-5944	179	25	2k2s	2k2s	NOUN
ejpam-5944	179	26	+	+	CCONJ
ejpam-5944	179	27	2k3s	2k3s	NUM
ejpam-5944	179	28	+	+	CCONJ
ejpam-5944	179	29	k4s	k4s	PROPN
ejpam-5944	179	30	)	)	PUNCT
ejpam-5944	179	31	,	,	PUNCT
ejpam-5944	179	32	en+1	en+1	ADJ
ejpam-5944	179	33	=	=	SYM
ejpam-5944	179	34	en	en	X
ejpam-5944	179	35	+	+	CCONJ
ejpam-5944	179	36	a	a	DET
ejpam-5944	179	37	6	6	NUM
ejpam-5944	179	38	(	(	PUNCT
ejpam-5944	179	39	k1e	k1e	PROPN
ejpam-5944	179	40	+	+	NUM
ejpam-5944	179	41	2k2e	2k2e	NUM
ejpam-5944	179	42	+	+	CCONJ
ejpam-5944	179	43	2k3e	2k3e	NUM
ejpam-5944	179	44	+	+	CCONJ
ejpam-5944	179	45	k4e	k4e	PROPN
ejpam-5944	179	46	)	)	PUNCT
ejpam-5944	179	47	,	,	PUNCT
ejpam-5944	179	48	in+1	in+1	NOUN
ejpam-5944	179	49	=	=	NOUN
ejpam-5944	179	50	in	in	ADP
ejpam-5944	179	51	+	+	CCONJ
ejpam-5944	179	52	a	a	DET
ejpam-5944	179	53	6	6	NUM
ejpam-5944	179	54	(	(	PUNCT
ejpam-5944	179	55	k1i	k1i	X
ejpam-5944	179	56	+	+	CCONJ
ejpam-5944	179	57	2k2i	2k2i	NUM
ejpam-5944	179	58	+	+	CCONJ
ejpam-5944	179	59	2k3i	2k3i	NUM
ejpam-5944	179	60	+	+	CCONJ
ejpam-5944	179	61	k4i	k4i	NOUN
ejpam-5944	179	62	)	)	PUNCT
ejpam-5944	179	63	,	,	PUNCT
ejpam-5944	179	64	rn+1	rn+1	PROPN
ejpam-5944	179	65	=	=	SYM
ejpam-5944	179	66	rn	rn	PROPN
ejpam-5944	179	67	+	+	CCONJ
ejpam-5944	179	68	a	a	DET
ejpam-5944	179	69	6	6	NUM
ejpam-5944	179	70	(	(	PUNCT
ejpam-5944	179	71	k1r	k1r	NOUN
ejpam-5944	179	72	+	+	NUM
ejpam-5944	179	73	2k2r	2k2r	NUM
ejpam-5944	179	74	+	+	CCONJ
ejpam-5944	179	75	2k3r	2k3r	NUM
ejpam-5944	179	76	+	+	CCONJ
ejpam-5944	179	77	k4r	k4r	NOUN
ejpam-5944	179	78	)	)	PUNCT
ejpam-5944	179	79	,	,	PUNCT
ejpam-5944	179	80	where	where	SCONJ
ejpam-5944	179	81	a	a	DET
ejpam-5944	179	82	=	=	X
ejpam-5944	179	83	hβ	hβ	NOUN
ejpam-5944	179	84	γ(β+1	γ(β+1	PROPN
ejpam-5944	179	85	)	)	PUNCT
ejpam-5944	179	86	,	,	PUNCT
ejpam-5944	179	87	and	and	CCONJ
ejpam-5944	179	88	the	the	DET
ejpam-5944	179	89	stage	stage	NOUN
ejpam-5944	179	90	values	value	NOUN
ejpam-5944	179	91	are	be	AUX
ejpam-5944	179	92	:	:	PUNCT
ejpam-5944	179	93	k1s	k1s	PROPN
ejpam-5944	179	94	=	=	SYM
ejpam-5944	179	95	f1(tn	f1(tn	PROPN
ejpam-5944	179	96	,	,	PUNCT
ejpam-5944	179	97	sn	sn	PROPN
ejpam-5944	179	98	,	,	PUNCT
ejpam-5944	179	99	en	en	X
ejpam-5944	179	100	,	,	PUNCT
ejpam-5944	179	101	in	in	ADP
ejpam-5944	179	102	,	,	PUNCT
ejpam-5944	179	103	rn	rn	PROPN
ejpam-5944	179	104	)	)	PUNCT
ejpam-5944	179	105	,	,	PUNCT
ejpam-5944	179	106	k1e	k1e	PROPN
ejpam-5944	179	107	=	=	SYM
ejpam-5944	179	108	f2(tn	f2(tn	PROPN
ejpam-5944	179	109	,	,	PUNCT
ejpam-5944	179	110	sn	sn	NOUN
ejpam-5944	179	111	,	,	PUNCT
ejpam-5944	179	112	en	en	X
ejpam-5944	179	113	,	,	PUNCT
ejpam-5944	179	114	in	in	ADP
ejpam-5944	179	115	,	,	PUNCT
ejpam-5944	179	116	rn	rn	PROPN
ejpam-5944	179	117	)	)	PUNCT
ejpam-5944	179	118	,	,	PUNCT
ejpam-5944	179	119	k1i	k1i	PROPN
ejpam-5944	179	120	=	=	SYM
ejpam-5944	179	121	f3(tn	f3(tn	PROPN
ejpam-5944	179	122	,	,	PUNCT
ejpam-5944	179	123	sn	sn	PROPN
ejpam-5944	179	124	,	,	PUNCT
ejpam-5944	179	125	en	en	X
ejpam-5944	179	126	,	,	PUNCT
ejpam-5944	179	127	in	in	ADP
ejpam-5944	179	128	,	,	PUNCT
ejpam-5944	179	129	rn	rn	PROPN
ejpam-5944	179	130	)	)	PUNCT
ejpam-5944	179	131	,	,	PUNCT
ejpam-5944	179	132	k1r	k1r	NOUN
ejpam-5944	179	133	=	=	SYM
ejpam-5944	179	134	f4(tn	f4(tn	PROPN
ejpam-5944	179	135	,	,	PUNCT
ejpam-5944	179	136	sn	sn	PROPN
ejpam-5944	179	137	,	,	PUNCT
ejpam-5944	179	138	en	en	X
ejpam-5944	179	139	,	,	PUNCT
ejpam-5944	179	140	in	in	ADP
ejpam-5944	179	141	,	,	PUNCT
ejpam-5944	179	142	rn	rn	PROPN
ejpam-5944	179	143	)	)	PUNCT
ejpam-5944	179	144	,	,	PUNCT
ejpam-5944	179	145	k2s	k2s	NOUN
ejpam-5944	179	146	=	=	SYM
ejpam-5944	179	147	f1	f1	PROPN
ejpam-5944	179	148	(	(	PUNCT
ejpam-5944	179	149	tn	tn	NOUN
ejpam-5944	179	150	+	+	CCONJ
ejpam-5944	179	151	a	a	DET
ejpam-5944	179	152	2	2	NUM
ejpam-5944	179	153	,	,	PUNCT
ejpam-5944	179	154	sn	sn	PROPN
ejpam-5944	179	155	+	+	CCONJ
ejpam-5944	179	156	a	a	DET
ejpam-5944	179	157	2	2	NUM
ejpam-5944	179	158	k1s	k1s	NOUN
ejpam-5944	179	159	,	,	PUNCT
ejpam-5944	179	160	en	en	X
ejpam-5944	179	161	+	+	CCONJ
ejpam-5944	179	162	a	a	DET
ejpam-5944	179	163	2	2	NUM
ejpam-5944	179	164	k1e	k1e	NOUN
ejpam-5944	179	165	,	,	PUNCT
ejpam-5944	179	166	in	in	ADP
ejpam-5944	179	167	+	+	CCONJ
ejpam-5944	179	168	a	a	DET
ejpam-5944	179	169	2	2	NUM
ejpam-5944	179	170	k1i	k1i	X
ejpam-5944	179	171	,	,	PUNCT
ejpam-5944	179	172	rn	rn	PROPN
ejpam-5944	179	173	+	+	CCONJ
ejpam-5944	179	174	a	a	DET
ejpam-5944	179	175	2	2	NUM
ejpam-5944	179	176	k1r	k1r	NOUN
ejpam-5944	179	177	)	)	PUNCT
ejpam-5944	179	178	,	,	PUNCT
ejpam-5944	179	179	k2e	k2e	PROPN
ejpam-5944	179	180	=	=	SYM
ejpam-5944	180	1	f2	f2	PROPN
ejpam-5944	180	2	(	(	PUNCT
ejpam-5944	180	3	tn	tn	NOUN
ejpam-5944	180	4	+	+	CCONJ
ejpam-5944	180	5	a	a	DET
ejpam-5944	180	6	2	2	NUM
ejpam-5944	180	7	,	,	PUNCT
ejpam-5944	180	8	sn	sn	PROPN
ejpam-5944	180	9	+	+	CCONJ
ejpam-5944	180	10	a	a	DET
ejpam-5944	180	11	2	2	NUM
ejpam-5944	180	12	k1s	k1s	NOUN
ejpam-5944	180	13	,	,	PUNCT
ejpam-5944	180	14	en	en	X
ejpam-5944	180	15	+	+	CCONJ
ejpam-5944	180	16	a	a	DET
ejpam-5944	180	17	2	2	NUM
ejpam-5944	180	18	k1e	k1e	NOUN
ejpam-5944	180	19	,	,	PUNCT
ejpam-5944	180	20	in	in	ADP
ejpam-5944	180	21	+	+	CCONJ
ejpam-5944	180	22	a	a	DET
ejpam-5944	180	23	2	2	NUM
ejpam-5944	180	24	k1i	k1i	X
ejpam-5944	180	25	,	,	PUNCT
ejpam-5944	180	26	rn	rn	PROPN
ejpam-5944	180	27	+	+	CCONJ
ejpam-5944	180	28	a	a	DET
ejpam-5944	180	29	2	2	NUM
ejpam-5944	180	30	k1r	k1r	NOUN
ejpam-5944	180	31	)	)	PUNCT
ejpam-5944	180	32	,	,	PUNCT
ejpam-5944	180	33	k2i	k2i	PROPN
ejpam-5944	180	34	=	=	SYM
ejpam-5944	180	35	f3	f3	PROPN
ejpam-5944	180	36	(	(	PUNCT
ejpam-5944	180	37	tn	tn	NOUN
ejpam-5944	180	38	+	+	CCONJ
ejpam-5944	180	39	a	a	DET
ejpam-5944	180	40	2	2	NUM
ejpam-5944	180	41	,	,	PUNCT
ejpam-5944	180	42	sn	sn	PROPN
ejpam-5944	180	43	+	+	CCONJ
ejpam-5944	180	44	a	a	DET
ejpam-5944	180	45	2	2	NUM
ejpam-5944	180	46	k1s	k1s	NOUN
ejpam-5944	180	47	,	,	PUNCT
ejpam-5944	180	48	en	en	X
ejpam-5944	180	49	+	+	CCONJ
ejpam-5944	180	50	a	a	DET
ejpam-5944	180	51	2	2	NUM
ejpam-5944	180	52	k1e	k1e	NOUN
ejpam-5944	180	53	,	,	PUNCT
ejpam-5944	180	54	in	in	ADP
ejpam-5944	180	55	+	+	CCONJ
ejpam-5944	180	56	a	a	DET
ejpam-5944	180	57	2	2	NUM
ejpam-5944	180	58	k1i	k1i	X
ejpam-5944	180	59	,	,	PUNCT
ejpam-5944	180	60	rn	rn	PROPN
ejpam-5944	180	61	+	+	CCONJ
ejpam-5944	180	62	a	a	DET
ejpam-5944	180	63	2	2	NUM
ejpam-5944	180	64	k1r	k1r	NOUN
ejpam-5944	180	65	)	)	PUNCT
ejpam-5944	180	66	,	,	PUNCT
ejpam-5944	180	67	k2r	k2r	PROPN
ejpam-5944	180	68	=	=	PUNCT
ejpam-5944	180	69	f4	f4	PROPN
ejpam-5944	180	70	(	(	PUNCT
ejpam-5944	180	71	tn	tn	NOUN
ejpam-5944	180	72	+	+	CCONJ
ejpam-5944	180	73	a	a	DET
ejpam-5944	180	74	2	2	NUM
ejpam-5944	180	75	,	,	PUNCT
ejpam-5944	180	76	sn	sn	PROPN
ejpam-5944	180	77	+	+	CCONJ
ejpam-5944	180	78	a	a	DET
ejpam-5944	180	79	2	2	NUM
ejpam-5944	180	80	k1s	k1s	NOUN
ejpam-5944	180	81	,	,	PUNCT
ejpam-5944	180	82	en	en	X
ejpam-5944	180	83	+	+	CCONJ
ejpam-5944	180	84	a	a	DET
ejpam-5944	180	85	2	2	NUM
ejpam-5944	180	86	k1e	k1e	NOUN
ejpam-5944	180	87	,	,	PUNCT
ejpam-5944	180	88	in	in	ADP
ejpam-5944	180	89	+	+	CCONJ
ejpam-5944	180	90	a	a	DET
ejpam-5944	180	91	2	2	NUM
ejpam-5944	180	92	k1i	k1i	X
ejpam-5944	180	93	,	,	PUNCT
ejpam-5944	180	94	rn	rn	PROPN
ejpam-5944	180	95	+	+	CCONJ
ejpam-5944	180	96	a	a	DET
ejpam-5944	180	97	2	2	NUM
ejpam-5944	180	98	k1r	k1r	NOUN
ejpam-5944	180	99	)	)	PUNCT
ejpam-5944	180	100	,	,	PUNCT
ejpam-5944	180	101	k3s	k3s	PROPN
ejpam-5944	180	102	=	=	SYM
ejpam-5944	180	103	f1	f1	PROPN
ejpam-5944	180	104	(	(	PUNCT
ejpam-5944	180	105	tn	tn	NOUN
ejpam-5944	180	106	+	+	CCONJ
ejpam-5944	180	107	a	a	DET
ejpam-5944	180	108	2	2	NUM
ejpam-5944	180	109	,	,	PUNCT
ejpam-5944	180	110	sn	sn	PROPN
ejpam-5944	180	111	+	+	CCONJ
ejpam-5944	180	112	a	a	DET
ejpam-5944	180	113	2	2	NUM
ejpam-5944	180	114	k2s	k2s	NOUN
ejpam-5944	180	115	,	,	PUNCT
ejpam-5944	180	116	en	en	X
ejpam-5944	180	117	+	+	CCONJ
ejpam-5944	180	118	a	a	DET
ejpam-5944	180	119	2	2	NUM
ejpam-5944	180	120	k2e	k2e	NOUN
ejpam-5944	180	121	,	,	PUNCT
ejpam-5944	180	122	in	in	ADP
ejpam-5944	180	123	+	+	CCONJ
ejpam-5944	180	124	a	a	DET
ejpam-5944	180	125	2	2	NUM
ejpam-5944	180	126	k2i	k2i	PROPN
ejpam-5944	180	127	,	,	PUNCT
ejpam-5944	180	128	rn	rn	PROPN
ejpam-5944	180	129	+	+	CCONJ
ejpam-5944	180	130	a	a	DET
ejpam-5944	180	131	2	2	NUM
ejpam-5944	180	132	k2r	k2r	PROPN
ejpam-5944	180	133	)	)	PUNCT
ejpam-5944	180	134	,	,	PUNCT
ejpam-5944	180	135	k3e	k3e	PROPN
ejpam-5944	180	136	=	=	SYM
ejpam-5944	180	137	f2	f2	PROPN
ejpam-5944	180	138	(	(	PUNCT
ejpam-5944	180	139	tn	tn	NOUN
ejpam-5944	180	140	+	+	CCONJ
ejpam-5944	180	141	a	a	DET
ejpam-5944	180	142	2	2	NUM
ejpam-5944	180	143	,	,	PUNCT
ejpam-5944	180	144	sn	sn	PROPN
ejpam-5944	180	145	+	+	CCONJ
ejpam-5944	180	146	a	a	DET
ejpam-5944	180	147	2	2	NUM
ejpam-5944	180	148	k2s	k2s	NOUN
ejpam-5944	180	149	,	,	PUNCT
ejpam-5944	180	150	en	en	X
ejpam-5944	180	151	+	+	CCONJ
ejpam-5944	180	152	a	a	DET
ejpam-5944	180	153	2	2	NUM
ejpam-5944	180	154	k2e	k2e	NOUN
ejpam-5944	180	155	,	,	PUNCT
ejpam-5944	180	156	in	in	ADP
ejpam-5944	180	157	+	+	CCONJ
ejpam-5944	180	158	a	a	DET
ejpam-5944	180	159	2	2	NUM
ejpam-5944	180	160	k2i	k2i	PROPN
ejpam-5944	180	161	,	,	PUNCT
ejpam-5944	180	162	rn	rn	PROPN
ejpam-5944	180	163	+	+	CCONJ
ejpam-5944	180	164	a	a	DET
ejpam-5944	180	165	2	2	NUM
ejpam-5944	180	166	k2r	k2r	PROPN
ejpam-5944	180	167	)	)	PUNCT
ejpam-5944	180	168	,	,	PUNCT
ejpam-5944	180	169	k3i	k3i	PROPN
ejpam-5944	180	170	=	=	SYM
ejpam-5944	180	171	f3	f3	PROPN
ejpam-5944	180	172	(	(	PUNCT
ejpam-5944	180	173	tn	tn	NOUN
ejpam-5944	180	174	+	+	CCONJ
ejpam-5944	180	175	a	a	DET
ejpam-5944	180	176	2	2	NUM
ejpam-5944	180	177	,	,	PUNCT
ejpam-5944	180	178	sn	sn	PROPN
ejpam-5944	180	179	+	+	CCONJ
ejpam-5944	180	180	a	a	DET
ejpam-5944	180	181	2	2	NUM
ejpam-5944	180	182	k2s	k2s	NOUN
ejpam-5944	180	183	,	,	PUNCT
ejpam-5944	180	184	en	en	X
ejpam-5944	180	185	+	+	CCONJ
ejpam-5944	180	186	a	a	DET
ejpam-5944	180	187	2	2	NUM
ejpam-5944	180	188	k2e	k2e	NOUN
ejpam-5944	180	189	,	,	PUNCT
ejpam-5944	180	190	in	in	ADP
ejpam-5944	180	191	+	+	CCONJ
ejpam-5944	180	192	a	a	DET
ejpam-5944	180	193	2	2	NUM
ejpam-5944	180	194	k2i	k2i	PROPN
ejpam-5944	180	195	,	,	PUNCT
ejpam-5944	180	196	rn	rn	PROPN
ejpam-5944	180	197	+	+	CCONJ
ejpam-5944	180	198	a	a	DET
ejpam-5944	180	199	2	2	NUM
ejpam-5944	180	200	k2r	k2r	PROPN
ejpam-5944	180	201	)	)	PUNCT
ejpam-5944	180	202	,	,	PUNCT
ejpam-5944	180	203	k3r	k3r	X
ejpam-5944	180	204	=	=	PUNCT
ejpam-5944	181	1	f4	f4	PROPN
ejpam-5944	181	2	(	(	PUNCT
ejpam-5944	181	3	tn	tn	NOUN
ejpam-5944	181	4	+	+	CCONJ
ejpam-5944	181	5	a	a	DET
ejpam-5944	181	6	2	2	NUM
ejpam-5944	181	7	,	,	PUNCT
ejpam-5944	181	8	sn	sn	PROPN
ejpam-5944	181	9	+	+	CCONJ
ejpam-5944	181	10	a	a	DET
ejpam-5944	181	11	2	2	NUM
ejpam-5944	181	12	k2s	k2s	NOUN
ejpam-5944	181	13	,	,	PUNCT
ejpam-5944	181	14	en	en	X
ejpam-5944	181	15	+	+	CCONJ
ejpam-5944	181	16	a	a	DET
ejpam-5944	181	17	2	2	NUM
ejpam-5944	181	18	k2e	k2e	NOUN
ejpam-5944	181	19	,	,	PUNCT
ejpam-5944	181	20	in	in	ADP
ejpam-5944	181	21	+	+	CCONJ
ejpam-5944	181	22	a	a	DET
ejpam-5944	181	23	2	2	NUM
ejpam-5944	181	24	k2i	k2i	PROPN
ejpam-5944	181	25	,	,	PUNCT
ejpam-5944	181	26	rn	rn	PROPN
ejpam-5944	181	27	+	+	CCONJ
ejpam-5944	181	28	a	a	DET
ejpam-5944	181	29	2	2	NUM
ejpam-5944	181	30	k2r	k2r	PROPN
ejpam-5944	181	31	)	)	PUNCT
ejpam-5944	181	32	,	,	PUNCT
ejpam-5944	181	33	k4s	k4s	PROPN
ejpam-5944	181	34	=	=	SYM
ejpam-5944	181	35	f1(tn	f1(tn	PROPN
ejpam-5944	181	36	+	+	CCONJ
ejpam-5944	181	37	a	a	X
ejpam-5944	181	38	,	,	PUNCT
ejpam-5944	181	39	sn	sn	PROPN
ejpam-5944	181	40	+	+	CCONJ
ejpam-5944	181	41	ak3s	ak3s	PROPN
ejpam-5944	181	42	,	,	PUNCT
ejpam-5944	181	43	en	en	X
ejpam-5944	181	44	+	+	CCONJ
ejpam-5944	181	45	ak3e	ak3e	NOUN
ejpam-5944	181	46	,	,	PUNCT
ejpam-5944	181	47	in	in	ADP
ejpam-5944	181	48	+	+	CCONJ
ejpam-5944	181	49	ak3i	ak3i	PROPN
ejpam-5944	181	50	,	,	PUNCT
ejpam-5944	181	51	rn	rn	PROPN
ejpam-5944	181	52	+	+	CCONJ
ejpam-5944	181	53	ak3r	ak3r	NUM
ejpam-5944	181	54	)	)	PUNCT
ejpam-5944	181	55	,	,	PUNCT
ejpam-5944	181	56	k4e	k4e	PROPN
ejpam-5944	181	57	=	=	PUNCT
ejpam-5944	181	58	f2(tn	f2(tn	PROPN
ejpam-5944	181	59	+	+	CCONJ
ejpam-5944	181	60	a	a	X
ejpam-5944	181	61	,	,	PUNCT
ejpam-5944	181	62	sn	sn	PROPN
ejpam-5944	181	63	+	+	CCONJ
ejpam-5944	181	64	ak3s	ak3s	PROPN
ejpam-5944	181	65	,	,	PUNCT
ejpam-5944	181	66	en	en	X
ejpam-5944	181	67	+	+	CCONJ
ejpam-5944	181	68	ak3e	ak3e	NOUN
ejpam-5944	181	69	,	,	PUNCT
ejpam-5944	181	70	in	in	ADP
ejpam-5944	181	71	+	+	CCONJ
ejpam-5944	181	72	ak3i	ak3i	PROPN
ejpam-5944	181	73	,	,	PUNCT
ejpam-5944	181	74	rn	rn	PROPN
ejpam-5944	181	75	+	+	CCONJ
ejpam-5944	181	76	ak3r	ak3r	NUM
ejpam-5944	181	77	)	)	PUNCT
ejpam-5944	181	78	,	,	PUNCT
ejpam-5944	181	79	k4i	k4i	NOUN
ejpam-5944	181	80	=	=	SYM
ejpam-5944	181	81	f3(tn	f3(tn	PROPN
ejpam-5944	181	82	+	+	CCONJ
ejpam-5944	181	83	a	a	X
ejpam-5944	181	84	,	,	PUNCT
ejpam-5944	181	85	sn	sn	PROPN
ejpam-5944	181	86	+	+	CCONJ
ejpam-5944	181	87	ak3s	ak3s	PROPN
ejpam-5944	181	88	,	,	PUNCT
ejpam-5944	181	89	en	en	X
ejpam-5944	181	90	+	+	X
ejpam-5944	181	91	ak3e	ak3e	PROPN
ejpam-5944	181	92	,	,	PUNCT
ejpam-5944	181	93	in	in	ADP
ejpam-5944	181	94	+	+	CCONJ
ejpam-5944	181	95	ak3i	ak3i	PROPN
ejpam-5944	181	96	,	,	PUNCT
ejpam-5944	181	97	rn	rn	PROPN
ejpam-5944	181	98	+	+	CCONJ
ejpam-5944	181	99	ak3r	ak3r	NUM
ejpam-5944	181	100	)	)	PUNCT
ejpam-5944	181	101	,	,	PUNCT
ejpam-5944	181	102	k4r	k4r	PROPN
ejpam-5944	181	103	=	=	SYM
ejpam-5944	181	104	f4(tn	f4(tn	PROPN
ejpam-5944	181	105	+	+	CCONJ
ejpam-5944	181	106	a	a	X
ejpam-5944	181	107	,	,	PUNCT
ejpam-5944	181	108	sn	sn	PROPN
ejpam-5944	181	109	+	+	CCONJ
ejpam-5944	181	110	ak3s	ak3s	PROPN
ejpam-5944	181	111	,	,	PUNCT
ejpam-5944	181	112	en	en	X
ejpam-5944	181	113	+	+	CCONJ
ejpam-5944	181	114	ak3e	ak3e	NOUN
ejpam-5944	181	115	,	,	PUNCT
ejpam-5944	181	116	in	in	ADP
ejpam-5944	181	117	+	+	CCONJ
ejpam-5944	181	118	ak3i	ak3i	PROPN
ejpam-5944	181	119	,	,	PUNCT
ejpam-5944	181	120	rn	rn	PROPN
ejpam-5944	181	121	+	+	CCONJ
ejpam-5944	181	122	ak3r	ak3r	NUM
ejpam-5944	181	123	)	)	PUNCT
ejpam-5944	181	124	.	.	PUNCT
ejpam-5944	182	1	the	the	DET
ejpam-5944	182	2	frk4	frk4	NOUN
ejpam-5944	182	3	method	method	NOUN
ejpam-5944	182	4	is	be	AUX
ejpam-5944	182	5	applied	apply	VERB
ejpam-5944	182	6	to	to	ADP
ejpam-5944	182	7	each	each	DET
ejpam-5944	182	8	compartment	compartment	NOUN
ejpam-5944	182	9	simultaneously	simultaneously	ADV
ejpam-5944	182	10	,	,	PUNCT
ejpam-5944	182	11	updating	update	VERB
ejpam-5944	182	12	s	s	PRON
ejpam-5944	182	13	,	,	PUNCT
ejpam-5944	182	14	e	e	NOUN
ejpam-5944	182	15	,	,	PUNCT
ejpam-5944	182	16	i	i	PRON
ejpam-5944	182	17	,	,	PUNCT
ejpam-5944	182	18	and	and	CCONJ
ejpam-5944	182	19	r	r	NOUN
ejpam-5944	182	20	at	at	ADP
ejpam-5944	182	21	each	each	DET
ejpam-5944	182	22	time	time	NOUN
ejpam-5944	182	23	step	step	NOUN
ejpam-5944	182	24	.	.	PUNCT
ejpam-5944	183	1	further	further	ADJ
ejpam-5944	183	2	details	detail	NOUN
ejpam-5944	183	3	on	on	ADP
ejpam-5944	183	4	numerical	numerical	ADJ
ejpam-5944	183	5	methods	method	NOUN
ejpam-5944	183	6	with	with	ADP
ejpam-5944	183	7	applications	application	NOUN
ejpam-5944	183	8	to	to	ADP
ejpam-5944	183	9	the	the	DET
ejpam-5944	183	10	kamran	kamran	PROPN
ejpam-5944	183	11	et	et	PROPN
ejpam-5944	183	12	al	al	PROPN
ejpam-5944	183	13	.	.	PUNCT
ejpam-5944	183	14	/	/	SYM
ejpam-5944	183	15	eur	eur	PROPN
ejpam-5944	183	16	.	.	PUNCT
ejpam-5944	184	1	j.	j.	PROPN
ejpam-5944	184	2	pure	pure	PROPN
ejpam-5944	184	3	appl	appl	PROPN
ejpam-5944	184	4	.	.	PROPN
ejpam-5944	184	5	math	math	PROPN
ejpam-5944	184	6	,	,	PUNCT
ejpam-5944	184	7	18	18	NUM
ejpam-5944	184	8	(	(	PUNCT
ejpam-5944	184	9	2	2	NUM
ejpam-5944	184	10	)	)	PUNCT
ejpam-5944	184	11	(	(	PUNCT
ejpam-5944	184	12	2025	2025	NUM
ejpam-5944	184	13	)	)	PUNCT
ejpam-5944	184	14	,	,	PUNCT
ejpam-5944	184	15	5944	5944	NUM
ejpam-5944	184	16	10	10	NUM
ejpam-5944	184	17	of	of	ADP
ejpam-5944	184	18	32	32	NUM
ejpam-5944	184	19	fdes	fde	NOUN
ejpam-5944	184	20	can	can	AUX
ejpam-5944	184	21	be	be	AUX
ejpam-5944	184	22	found	find	VERB
ejpam-5944	184	23	in	in	ADP
ejpam-5944	184	24	[	[	X
ejpam-5944	184	25	34	34	NUM
ejpam-5944	184	26	,	,	PUNCT
ejpam-5944	184	27	36–41	36–41	NUM
ejpam-5944	184	28	]	]	PUNCT
ejpam-5944	184	29	.	.	PUNCT
ejpam-5944	185	1	4	4	X
ejpam-5944	185	2	.	.	NOUN
ejpam-5944	185	3	results	result	NOUN
ejpam-5944	185	4	and	and	CCONJ
ejpam-5944	185	5	discussion	discussion	NOUN
ejpam-5944	185	6	this	this	DET
ejpam-5944	185	7	section	section	NOUN
ejpam-5944	185	8	is	be	AUX
ejpam-5944	185	9	devoted	devote	VERB
ejpam-5944	185	10	to	to	ADP
ejpam-5944	185	11	the	the	DET
ejpam-5944	185	12	numerical	numerical	ADJ
ejpam-5944	185	13	investigation	investigation	NOUN
ejpam-5944	185	14	of	of	ADP
ejpam-5944	185	15	different	different	ADJ
ejpam-5944	185	16	fractional	fractional	ADJ
ejpam-5944	185	17	order	order	NOUN
ejpam-5944	185	18	models	model	NOUN
ejpam-5944	185	19	by	by	ADP
ejpam-5944	185	20	employing	employ	VERB
ejpam-5944	185	21	the	the	DET
ejpam-5944	185	22	frk4	frk4	NOUN
ejpam-5944	185	23	method	method	NOUN
ejpam-5944	185	24	.	.	PUNCT
ejpam-5944	186	1	4.0.1	4.0.1	X
ejpam-5944	186	2	.	.	PUNCT
ejpam-5944	186	3	problem	problem	NOUN
ejpam-5944	186	4	1	1	NUM
ejpam-5944	186	5	here	here	ADV
ejpam-5944	186	6	we	we	PRON
ejpam-5944	186	7	consider	consider	VERB
ejpam-5944	186	8	the	the	DET
ejpam-5944	186	9	logistic	logistic	ADJ
ejpam-5944	186	10	growth	growth	NOUN
ejpam-5944	186	11	model	model	NOUN
ejpam-5944	186	12	of	of	ADP
ejpam-5944	186	13	fractional	fractional	ADJ
ejpam-5944	186	14	order	order	NOUN
ejpam-5944	186	15	of	of	ADP
ejpam-5944	186	16	the	the	DET
ejpam-5944	186	17	form	form	NOUN
ejpam-5944	187	1	[	[	X
ejpam-5944	187	2	25	25	NUM
ejpam-5944	187	3	]	]	PUNCT
ejpam-5944	187	4	c	c	PROPN
ejpam-5944	187	5	0dβ	0dβ	PROPN
ejpam-5944	187	6	t	t	PROPN
ejpam-5944	187	7	u(t	u(t	PROPN
ejpam-5944	187	8	)	)	PUNCT
ejpam-5944	188	1	=	=	PUNCT
ejpam-5944	188	2	γu(t	γu(t	PRON
ejpam-5944	188	3	)	)	PUNCT
ejpam-5944	188	4	(	(	PUNCT
ejpam-5944	188	5	1	1	NUM
ejpam-5944	188	6	−	−	PROPN
ejpam-5944	188	7	u(t	u(t	NOUN
ejpam-5944	188	8	)	)	PUNCT
ejpam-5944	188	9	m	m	VERB
ejpam-5944	188	10	)	)	PUNCT
ejpam-5944	188	11	(	(	PUNCT
ejpam-5944	188	12	4.1	4.1	NUM
ejpam-5944	188	13	)	)	PUNCT
ejpam-5944	188	14	u(t0	u(t0	NOUN
ejpam-5944	188	15	)	)	PUNCT
ejpam-5944	188	16	=	=	SYM
ejpam-5944	189	1	u0	u0	ADJ
ejpam-5944	189	2	,	,	PUNCT
ejpam-5944	189	3	where	where	SCONJ
ejpam-5944	189	4	u0	u0	ADJ
ejpam-5944	189	5	is	be	AUX
ejpam-5944	189	6	the	the	DET
ejpam-5944	189	7	initial	initial	ADJ
ejpam-5944	189	8	density	density	NOUN
ejpam-5944	189	9	,	,	PUNCT
ejpam-5944	189	10	and	and	CCONJ
ejpam-5944	189	11	γ	γ	X
ejpam-5944	189	12	is	be	AUX
ejpam-5944	189	13	the	the	DET
ejpam-5944	189	14	intrinsic	intrinsic	ADJ
ejpam-5944	189	15	growth	growth	NOUN
ejpam-5944	189	16	rate	rate	NOUN
ejpam-5944	189	17	of	of	ADP
ejpam-5944	189	18	the	the	DET
ejpam-5944	189	19	population	population	NOUN
ejpam-5944	189	20	,	,	PUNCT
ejpam-5944	189	21	and	and	CCONJ
ejpam-5944	189	22	m	m	PROPN
ejpam-5944	189	23	is	be	AUX
ejpam-5944	189	24	the	the	DET
ejpam-5944	189	25	carrying	carry	VERB
ejpam-5944	189	26	capacity	capacity	NOUN
ejpam-5944	189	27	.	.	PUNCT
ejpam-5944	190	1	the	the	DET
ejpam-5944	190	2	exact	exact	ADJ
ejpam-5944	190	3	solution	solution	NOUN
ejpam-5944	190	4	of	of	ADP
ejpam-5944	190	5	the	the	DET
ejpam-5944	190	6	problem	problem	NOUN
ejpam-5944	190	7	for	for	ADP
ejpam-5944	190	8	β	β	NOUN
ejpam-5944	190	9	=	=	SYM
ejpam-5944	190	10	1	1	NUM
ejpam-5944	190	11	is	be	AUX
ejpam-5944	190	12	given	give	VERB
ejpam-5944	190	13	by	by	ADP
ejpam-5944	190	14	u(t	u(t	NOUN
ejpam-5944	190	15	)	)	PUNCT
ejpam-5944	190	16	=	=	VERB
ejpam-5944	191	1	mu0	mu0	VERB
ejpam-5944	191	2	u0+(m−u0)e−γt	u0+(m−u0)e−γt	X
ejpam-5944	191	3	.	.	PUNCT
ejpam-5944	192	1	using	use	VERB
ejpam-5944	192	2	theorem	theorem	NOUN
ejpam-5944	192	3	2	2	NUM
ejpam-5944	192	4	the	the	DET
ejpam-5944	192	5	exact	exact	ADJ
ejpam-5944	192	6	solution	solution	NOUN
ejpam-5944	192	7	of	of	ADP
ejpam-5944	192	8	the	the	DET
ejpam-5944	192	9	given	give	VERB
ejpam-5944	192	10	problem	problem	NOUN
ejpam-5944	192	11	for	for	ADP
ejpam-5944	192	12	noninteger	noninteger	NOUN
ejpam-5944	192	13	values	value	NOUN
ejpam-5944	192	14	becomes	become	VERB
ejpam-5944	192	15	u(t	u(t	NOUN
ejpam-5944	192	16	)	)	PUNCT
ejpam-5944	193	1	=	=	PUNCT
ejpam-5944	193	2	mu0	mu0	VERB
ejpam-5944	193	3	u0	u0	NOUN
ejpam-5944	193	4	+	+	CCONJ
ejpam-5944	193	5	(	(	PUNCT
ejpam-5944	193	6	m	m	VERB
ejpam-5944	193	7	−	−	ADJ
ejpam-5944	193	8	u0)e	u0)e	ADJ
ejpam-5944	193	9	−γ	−γ	NOUN
ejpam-5944	193	10	(	(	PUNCT
ejpam-5944	193	11	tβ	tβ	NOUN
ejpam-5944	193	12	γ(β+1	γ(β+1	ADJ
ejpam-5944	193	13	)	)	PUNCT
ejpam-5944	193	14	)	)	PUNCT
ejpam-5944	193	15	.	.	PUNCT
ejpam-5944	194	1	the	the	DET
ejpam-5944	194	2	numerical	numerical	ADJ
ejpam-5944	194	3	results	result	NOUN
ejpam-5944	194	4	obtained	obtain	VERB
ejpam-5944	194	5	using	use	VERB
ejpam-5944	194	6	the	the	DET
ejpam-5944	194	7	fractional	fractional	ADJ
ejpam-5944	194	8	runge	runge	NOUN
ejpam-5944	194	9	-	-	PUNCT
ejpam-5944	194	10	kutta	kutta	NOUN
ejpam-5944	194	11	method	method	NOUN
ejpam-5944	194	12	of	of	ADP
ejpam-5944	194	13	order	order	NOUN
ejpam-5944	194	14	four	four	NUM
ejpam-5944	194	15	(	(	PUNCT
ejpam-5944	194	16	frk4	frk4	NOUN
ejpam-5944	194	17	)	)	PUNCT
ejpam-5944	194	18	for	for	ADP
ejpam-5944	194	19	solving	solve	VERB
ejpam-5944	194	20	a	a	DET
ejpam-5944	194	21	fractional	fractional	ADJ
ejpam-5944	194	22	differential	differential	NOUN
ejpam-5944	194	23	equation	equation	NOUN
ejpam-5944	194	24	are	be	AUX
ejpam-5944	194	25	presented	present	VERB
ejpam-5944	194	26	in	in	ADP
ejpam-5944	194	27	tables	table	NOUN
ejpam-5944	194	28	1	1	NUM
ejpam-5944	194	29	to	to	ADP
ejpam-5944	194	30	4	4	NUM
ejpam-5944	194	31	,	,	PUNCT
ejpam-5944	194	32	with	with	ADP
ejpam-5944	194	33	corresponding	corresponding	ADJ
ejpam-5944	194	34	plots	plot	NOUN
ejpam-5944	194	35	in	in	ADP
ejpam-5944	194	36	figures	figure	NOUN
ejpam-5944	194	37	1a	1a	PROPN
ejpam-5944	194	38	to	to	ADP
ejpam-5944	194	39	6b	6b	PROPN
ejpam-5944	194	40	.	.	PUNCT
ejpam-5944	195	1	the	the	DET
ejpam-5944	195	2	parameters	parameter	NOUN
ejpam-5944	195	3	include	include	VERB
ejpam-5944	195	4	the	the	DET
ejpam-5944	195	5	initial	initial	ADJ
ejpam-5944	195	6	condition	condition	NOUN
ejpam-5944	195	7	u0	u0	ADJ
ejpam-5944	195	8	,	,	PUNCT
ejpam-5944	195	9	fractional	fractional	ADJ
ejpam-5944	195	10	order	order	NOUN
ejpam-5944	195	11	β	β	NOUN
ejpam-5944	195	12	,	,	PUNCT
ejpam-5944	195	13	step	step	NOUN
ejpam-5944	195	14	size	size	NOUN
ejpam-5944	195	15	h	h	NOUN
ejpam-5944	195	16	,	,	PUNCT
ejpam-5944	195	17	growth	growth	NOUN
ejpam-5944	195	18	parameter	parameter	NOUN
ejpam-5944	195	19	γ	γ	PROPN
ejpam-5944	195	20	,	,	PUNCT
ejpam-5944	195	21	and	and	CCONJ
ejpam-5944	195	22	a	a	DET
ejpam-5944	195	23	model	model	NOUN
ejpam-5944	195	24	-	-	PUNCT
ejpam-5944	195	25	specific	specific	ADJ
ejpam-5944	195	26	parameter	parameter	NOUN
ejpam-5944	195	27	m	m	PROPN
ejpam-5944	195	28	.	.	PUNCT
ejpam-5944	196	1	tables	table	NOUN
ejpam-5944	196	2	1	1	NUM
ejpam-5944	196	3	and	and	CCONJ
ejpam-5944	196	4	2	2	NUM
ejpam-5944	196	5	show	show	NOUN
ejpam-5944	196	6	results	result	NOUN
ejpam-5944	196	7	for	for	ADP
ejpam-5944	196	8	m	m	PROPN
ejpam-5944	196	9	=	=	NOUN
ejpam-5944	196	10	10	10	NUM
ejpam-5944	196	11	,	,	PUNCT
ejpam-5944	196	12	γ	γ	X
ejpam-5944	196	13	=	=	SYM
ejpam-5944	196	14	0.5	0.5	NUM
ejpam-5944	196	15	,	,	PUNCT
ejpam-5944	196	16	u0	u0	ADJ
ejpam-5944	196	17	=	=	NOUN
ejpam-5944	196	18	20	20	NUM
ejpam-5944	196	19	,	,	PUNCT
ejpam-5944	196	20	with	with	ADP
ejpam-5944	196	21	h	h	NOUN
ejpam-5944	196	22	=	=	NOUN
ejpam-5944	196	23	0.01	0.01	NUM
ejpam-5944	196	24	and	and	CCONJ
ejpam-5944	196	25	h	h	NOUN
ejpam-5944	196	26	=	=	NOUN
ejpam-5944	196	27	0.005	0.005	NUM
ejpam-5944	196	28	,	,	PUNCT
ejpam-5944	196	29	respectively	respectively	ADV
ejpam-5944	196	30	,	,	PUNCT
ejpam-5944	196	31	for	for	ADP
ejpam-5944	196	32	β	β	X
ejpam-5944	196	33	=	=	SYM
ejpam-5944	196	34	0.96	0.96	NUM
ejpam-5944	196	35	and	and	CCONJ
ejpam-5944	196	36	β	β	X
ejpam-5944	196	37	=	=	SYM
ejpam-5944	196	38	1	1	X
ejpam-5944	196	39	.	.	PUNCT
ejpam-5944	196	40	tables	table	NOUN
ejpam-5944	196	41	3	3	NUM
ejpam-5944	196	42	and	and	CCONJ
ejpam-5944	196	43	4	4	NUM
ejpam-5944	196	44	present	present	ADJ
ejpam-5944	196	45	results	result	NOUN
ejpam-5944	196	46	for	for	ADP
ejpam-5944	196	47	m	m	PROPN
ejpam-5944	196	48	=	=	SYM
ejpam-5944	196	49	1	1	NUM
ejpam-5944	196	50	,	,	PUNCT
ejpam-5944	196	51	γ	γ	NOUN
ejpam-5944	196	52	=	=	SYM
ejpam-5944	196	53	0.5	0.5	NUM
ejpam-5944	196	54	,	,	PUNCT
ejpam-5944	196	55	with	with	ADP
ejpam-5944	196	56	u0	u0	ADJ
ejpam-5944	196	57	=	=	ADJ
ejpam-5944	196	58	20	20	NUM
ejpam-5944	196	59	,	,	PUNCT
ejpam-5944	196	60	h	h	NOUN
ejpam-5944	196	61	=	=	NOUN
ejpam-5944	196	62	0.01	0.01	NUM
ejpam-5944	196	63	(	(	PUNCT
ejpam-5944	196	64	table	table	NOUN
ejpam-5944	196	65	3	3	NUM
ejpam-5944	196	66	)	)	PUNCT
ejpam-5944	196	67	and	and	CCONJ
ejpam-5944	196	68	u0	u0	ADJ
ejpam-5944	196	69	=	=	NOUN
ejpam-5944	196	70	10	10	NUM
ejpam-5944	196	71	,	,	PUNCT
ejpam-5944	196	72	h	h	NOUN
ejpam-5944	196	73	=	=	NOUN
ejpam-5944	196	74	0.005	0.005	NUM
ejpam-5944	196	75	(	(	PUNCT
ejpam-5944	196	76	table	table	NOUN
ejpam-5944	196	77	4	4	NUM
ejpam-5944	196	78	)	)	PUNCT
ejpam-5944	196	79	,	,	PUNCT
ejpam-5944	196	80	again	again	ADV
ejpam-5944	196	81	for	for	ADP
ejpam-5944	196	82	β	β	X
ejpam-5944	196	83	=	=	SYM
ejpam-5944	196	84	0.96	0.96	NUM
ejpam-5944	196	85	and	and	CCONJ
ejpam-5944	196	86	β	β	X
ejpam-5944	196	87	=	=	NOUN
ejpam-5944	196	88	1	1	X
ejpam-5944	196	89	.	.	PUNCT
ejpam-5944	197	1	the	the	DET
ejpam-5944	197	2	results	result	NOUN
ejpam-5944	197	3	demonstrate	demonstrate	VERB
ejpam-5944	197	4	that	that	SCONJ
ejpam-5944	197	5	the	the	DET
ejpam-5944	197	6	frk4	frk4	NOUN
ejpam-5944	197	7	method	method	NOUN
ejpam-5944	197	8	achieves	achieve	VERB
ejpam-5944	197	9	high	high	ADJ
ejpam-5944	197	10	accuracy	accuracy	NOUN
ejpam-5944	197	11	,	,	PUNCT
ejpam-5944	197	12	with	with	ADP
ejpam-5944	197	13	errors	error	NOUN
ejpam-5944	197	14	decreasing	decrease	VERB
ejpam-5944	197	15	as	as	ADP
ejpam-5944	197	16	the	the	DET
ejpam-5944	197	17	step	step	NOUN
ejpam-5944	197	18	size	size	NOUN
ejpam-5944	197	19	h	h	NOUN
ejpam-5944	197	20	is	be	AUX
ejpam-5944	197	21	reduced	reduce	VERB
ejpam-5944	197	22	.	.	PUNCT
ejpam-5944	198	1	further	far	ADV
ejpam-5944	198	2	,	,	PUNCT
ejpam-5944	198	3	these	these	DET
ejpam-5944	198	4	plots	plot	NOUN
ejpam-5944	198	5	demonstrate	demonstrate	VERB
ejpam-5944	198	6	the	the	DET
ejpam-5944	198	7	sensitivity	sensitivity	NOUN
ejpam-5944	198	8	of	of	ADP
ejpam-5944	198	9	the	the	DET
ejpam-5944	198	10	model	model	NOUN
ejpam-5944	198	11	to	to	ADP
ejpam-5944	198	12	β	β	PROPN
ejpam-5944	198	13	.	.	PUNCT
ejpam-5944	199	1	as	as	SCONJ
ejpam-5944	199	2	we	we	PRON
ejpam-5944	199	3	see	see	VERB
ejpam-5944	199	4	that	that	PRON
ejpam-5944	199	5	for	for	ADP
ejpam-5944	199	6	a	a	DET
ejpam-5944	199	7	lower	low	ADJ
ejpam-5944	199	8	value	value	NOUN
ejpam-5944	199	9	of	of	ADP
ejpam-5944	199	10	β	β	X
ejpam-5944	199	11	(	(	PUNCT
ejpam-5944	199	12	e.g.	e.g.	ADV
ejpam-5944	199	13	,	,	PUNCT
ejpam-5944	199	14	0.96	0.96	NUM
ejpam-5944	199	15	)	)	PUNCT
ejpam-5944	199	16	,	,	PUNCT
ejpam-5944	199	17	the	the	DET
ejpam-5944	199	18	population	population	NOUN
ejpam-5944	199	19	approaches	approach	VERB
ejpam-5944	199	20	the	the	DET
ejpam-5944	199	21	carrying	carrying	NOUN
ejpam-5944	199	22	capacity	capacity	NOUN
ejpam-5944	199	23	more	more	ADV
ejpam-5944	199	24	slowly	slowly	ADV
ejpam-5944	199	25	,	,	PUNCT
ejpam-5944	199	26	reflecting	reflect	VERB
ejpam-5944	199	27	stronger	strong	ADJ
ejpam-5944	199	28	memory	memory	NOUN
ejpam-5944	199	29	effects	effect	NOUN
ejpam-5944	199	30	that	that	PRON
ejpam-5944	199	31	delay	delay	VERB
ejpam-5944	199	32	growth	growth	NOUN
ejpam-5944	199	33	or	or	CCONJ
ejpam-5944	199	34	decline	decline	NOUN
ejpam-5944	199	35	.	.	PUNCT
ejpam-5944	200	1	figures	figure	NOUN
ejpam-5944	200	2	1a	1a	NOUN
ejpam-5944	200	3	and	and	CCONJ
ejpam-5944	200	4	1b	1b	NUM
ejpam-5944	200	5	illustrate	illustrate	VERB
ejpam-5944	200	6	the	the	DET
ejpam-5944	200	7	exact	exact	ADJ
ejpam-5944	200	8	and	and	CCONJ
ejpam-5944	200	9	approximate	approximate	ADJ
ejpam-5944	200	10	solutions	solution	NOUN
ejpam-5944	200	11	for	for	ADP
ejpam-5944	200	12	m	m	PROPN
ejpam-5944	200	13	=	=	SYM
ejpam-5944	200	14	10	10	NUM
ejpam-5944	200	15	,	,	PUNCT
ejpam-5944	200	16	u0	u0	ADJ
ejpam-5944	200	17	=	=	ADJ
ejpam-5944	200	18	20	20	NUM
ejpam-5944	200	19	,	,	PUNCT
ejpam-5944	200	20	γ	γ	X
ejpam-5944	200	21	=	=	SYM
ejpam-5944	200	22	0.5	0.5	NUM
ejpam-5944	200	23	,	,	PUNCT
ejpam-5944	200	24	h	h	NOUN
ejpam-5944	200	25	=	=	NOUN
ejpam-5944	200	26	0.01	0.01	NUM
ejpam-5944	200	27	,	,	PUNCT
ejpam-5944	200	28	with	with	ADP
ejpam-5944	200	29	β	β	X
ejpam-5944	200	30	=	=	SYM
ejpam-5944	200	31	1	1	NUM
ejpam-5944	200	32	and	and	CCONJ
ejpam-5944	200	33	β	β	X
ejpam-5944	200	34	=	=	SYM
ejpam-5944	200	35	0.96	0.96	NUM
ejpam-5944	200	36	,	,	PUNCT
ejpam-5944	200	37	respectively	respectively	ADV
ejpam-5944	200	38	,	,	PUNCT
ejpam-5944	200	39	showing	show	VERB
ejpam-5944	200	40	close	close	ADJ
ejpam-5944	200	41	agreement	agreement	NOUN
ejpam-5944	200	42	between	between	ADP
ejpam-5944	200	43	numerical	numerical	ADJ
ejpam-5944	200	44	and	and	CCONJ
ejpam-5944	200	45	analytical	analytical	ADJ
ejpam-5944	200	46	solutions	solution	NOUN
ejpam-5944	200	47	.	.	PUNCT
ejpam-5944	201	1	similarly	similarly	ADV
ejpam-5944	201	2	,	,	PUNCT
ejpam-5944	201	3	figures	figure	NOUN
ejpam-5944	201	4	2a	2a	NUM
ejpam-5944	201	5	and	and	CCONJ
ejpam-5944	201	6	2b	2b	NUM
ejpam-5944	201	7	depict	depict	ADJ
ejpam-5944	201	8	solutions	solution	NOUN
ejpam-5944	201	9	for	for	ADP
ejpam-5944	201	10	m	m	PROPN
ejpam-5944	201	11	=	=	SYM
ejpam-5944	201	12	1	1	NUM
ejpam-5944	201	13	,	,	PUNCT
ejpam-5944	201	14	u0	u0	ADJ
ejpam-5944	201	15	=	=	ADJ
ejpam-5944	201	16	20	20	NUM
ejpam-5944	201	17	,	,	PUNCT
ejpam-5944	201	18	γ	γ	X
ejpam-5944	201	19	=	=	SYM
ejpam-5944	201	20	0.5	0.5	NUM
ejpam-5944	201	21	,	,	PUNCT
ejpam-5944	201	22	h	h	NOUN
ejpam-5944	201	23	=	=	NOUN
ejpam-5944	201	24	0.005	0.005	NUM
ejpam-5944	201	25	,	,	PUNCT
ejpam-5944	201	26	for	for	ADP
ejpam-5944	201	27	β	β	X
ejpam-5944	201	28	=	=	SYM
ejpam-5944	201	29	1	1	NUM
ejpam-5944	201	30	and	and	CCONJ
ejpam-5944	201	31	β	β	X
ejpam-5944	201	32	=	=	NOUN
ejpam-5944	201	33	0.96	0.96	NUM
ejpam-5944	201	34	,	,	PUNCT
ejpam-5944	201	35	while	while	SCONJ
ejpam-5944	201	36	figures	figure	NOUN
ejpam-5944	201	37	4a	4a	NOUN
ejpam-5944	201	38	and	and	CCONJ
ejpam-5944	201	39	4b	4b	PROPN
ejpam-5944	201	40	show	show	VERB
ejpam-5944	201	41	the	the	DET
ejpam-5944	201	42	same	same	ADJ
ejpam-5944	201	43	for	for	ADP
ejpam-5944	201	44	u0	u0	ADJ
ejpam-5944	201	45	=	=	ADJ
ejpam-5944	201	46	10	10	NUM
ejpam-5944	201	47	.	.	PUNCT
ejpam-5944	201	48	figures	figure	NOUN
ejpam-5944	201	49	3a	3a	NUM
ejpam-5944	201	50	and	and	CCONJ
ejpam-5944	201	51	3b	3b	NUM
ejpam-5944	201	52	appear	appear	VERB
ejpam-5944	201	53	to	to	PART
ejpam-5944	201	54	duplicate	duplicate	VERB
ejpam-5944	201	55	the	the	DET
ejpam-5944	201	56	conditions	condition	NOUN
ejpam-5944	201	57	of	of	ADP
ejpam-5944	201	58	figures	figure	NOUN
ejpam-5944	201	59	2a	2a	NUM
ejpam-5944	201	60	and	and	CCONJ
ejpam-5944	201	61	2b	2b	NUM
ejpam-5944	201	62	,	,	PUNCT
ejpam-5944	201	63	confirming	confirm	VERB
ejpam-5944	201	64	consistent	consistent	ADJ
ejpam-5944	201	65	results	result	NOUN
ejpam-5944	201	66	.	.	PUNCT
ejpam-5944	202	1	figures	figure	VERB
ejpam-5944	202	2	5a	5a	NUM
ejpam-5944	202	3	and	and	CCONJ
ejpam-5944	202	4	5b	5b	NUM
ejpam-5944	202	5	plot	plot	NOUN
ejpam-5944	202	6	numerical	numerical	ADJ
ejpam-5944	202	7	solutions	solution	NOUN
ejpam-5944	202	8	for	for	ADP
ejpam-5944	202	9	varying	vary	VERB
ejpam-5944	202	10	β	β	NOUN
ejpam-5944	202	11	with	with	ADP
ejpam-5944	202	12	m	m	PROPN
ejpam-5944	202	13	=	=	SYM
ejpam-5944	202	14	1	1	NUM
ejpam-5944	202	15	,	,	PUNCT
ejpam-5944	202	16	γ	γ	NOUN
ejpam-5944	202	17	=	=	SYM
ejpam-5944	202	18	0.5	0.5	NUM
ejpam-5944	202	19	,	,	PUNCT
ejpam-5944	202	20	h	h	NOUN
ejpam-5944	202	21	=	=	NOUN
ejpam-5944	202	22	0.005	0.005	NUM
ejpam-5944	202	23	,	,	PUNCT
ejpam-5944	202	24	and	and	CCONJ
ejpam-5944	202	25	u0	u0	ADJ
ejpam-5944	202	26	=	=	NOUN
ejpam-5944	202	27	10	10	NUM
ejpam-5944	202	28	and	and	CCONJ
ejpam-5944	202	29	u0	u0	ADJ
ejpam-5944	202	30	=	=	NOUN
ejpam-5944	202	31	20	20	NUM
ejpam-5944	202	32	,	,	PUNCT
ejpam-5944	202	33	respectively	respectively	ADV
ejpam-5944	202	34	,	,	PUNCT
ejpam-5944	202	35	highlighting	highlight	VERB
ejpam-5944	202	36	the	the	DET
ejpam-5944	202	37	impact	impact	NOUN
ejpam-5944	202	38	of	of	ADP
ejpam-5944	202	39	the	the	DET
ejpam-5944	202	40	fractional	fractional	ADJ
ejpam-5944	202	41	order	order	NOUN
ejpam-5944	202	42	on	on	ADP
ejpam-5944	202	43	solution	solution	NOUN
ejpam-5944	202	44	behavior	behavior	NOUN
ejpam-5944	202	45	.	.	PUNCT
ejpam-5944	203	1	absolute	absolute	ADJ
ejpam-5944	203	2	error	error	NOUN
ejpam-5944	203	3	plots	plot	NOUN
ejpam-5944	203	4	for	for	ADP
ejpam-5944	203	5	problem	problem	NOUN
ejpam-5944	203	6	1	1	NUM
ejpam-5944	203	7	,	,	PUNCT
ejpam-5944	203	8	with	with	ADP
ejpam-5944	203	9	m	m	PROPN
ejpam-5944	203	10	=	=	SYM
ejpam-5944	203	11	10	10	NUM
ejpam-5944	203	12	,	,	PUNCT
ejpam-5944	203	13	γ	γ	X
ejpam-5944	203	14	=	=	SYM
ejpam-5944	203	15	0.5	0.5	NUM
ejpam-5944	203	16	,	,	PUNCT
ejpam-5944	203	17	h	h	NOUN
ejpam-5944	203	18	=	=	NOUN
ejpam-5944	203	19	0.005	0.005	NUM
ejpam-5944	203	20	,	,	PUNCT
ejpam-5944	203	21	β	β	X
ejpam-5944	203	22	=	=	SYM
ejpam-5944	203	23	1	1	NUM
ejpam-5944	203	24	,	,	PUNCT
ejpam-5944	204	1	kamran	kamran	PROPN
ejpam-5944	204	2	et	et	PROPN
ejpam-5944	204	3	al	al	PROPN
ejpam-5944	204	4	.	.	PUNCT
ejpam-5944	204	5	/	/	SYM
ejpam-5944	204	6	eur	eur	PROPN
ejpam-5944	204	7	.	.	PUNCT
ejpam-5944	205	1	j.	j.	PROPN
ejpam-5944	205	2	pure	pure	PROPN
ejpam-5944	205	3	appl	appl	PROPN
ejpam-5944	205	4	.	.	PROPN
ejpam-5944	205	5	math	math	PROPN
ejpam-5944	205	6	,	,	PUNCT
ejpam-5944	205	7	18	18	NUM
ejpam-5944	205	8	(	(	PUNCT
ejpam-5944	205	9	2	2	NUM
ejpam-5944	205	10	)	)	PUNCT
ejpam-5944	205	11	(	(	PUNCT
ejpam-5944	205	12	2025	2025	NUM
ejpam-5944	205	13	)	)	PUNCT
ejpam-5944	205	14	,	,	PUNCT
ejpam-5944	205	15	5944	5944	NUM
ejpam-5944	205	16	11	11	NUM
ejpam-5944	205	17	of	of	ADP
ejpam-5944	205	18	32	32	NUM
ejpam-5944	205	19	and	and	CCONJ
ejpam-5944	205	20	u0	u0	ADJ
ejpam-5944	205	21	=	=	NOUN
ejpam-5944	205	22	20	20	NUM
ejpam-5944	205	23	(	(	PUNCT
ejpam-5944	205	24	figure	figure	VERB
ejpam-5944	205	25	6a	6a	NOUN
ejpam-5944	205	26	)	)	PUNCT
ejpam-5944	205	27	and	and	CCONJ
ejpam-5944	205	28	u0	u0	ADJ
ejpam-5944	205	29	=	=	NOUN
ejpam-5944	205	30	10	10	NUM
ejpam-5944	205	31	(	(	PUNCT
ejpam-5944	205	32	figure	figure	NOUN
ejpam-5944	205	33	6b	6b	NOUN
ejpam-5944	205	34	)	)	PUNCT
ejpam-5944	205	35	,	,	PUNCT
ejpam-5944	205	36	demonstrate	demonstrate	VERB
ejpam-5944	205	37	low	low	ADJ
ejpam-5944	205	38	errors	error	NOUN
ejpam-5944	205	39	underscoring	underscore	VERB
ejpam-5944	205	40	the	the	DET
ejpam-5944	205	41	method	method	NOUN
ejpam-5944	205	42	’s	’s	PART
ejpam-5944	205	43	precision	precision	NOUN
ejpam-5944	205	44	.	.	PUNCT
ejpam-5944	206	1	the	the	DET
ejpam-5944	206	2	frk4	frk4	PROPN
ejpam-5944	206	3	method	method	NOUN
ejpam-5944	206	4	’s	’s	PART
ejpam-5944	206	5	efficiency	efficiency	NOUN
ejpam-5944	206	6	is	be	AUX
ejpam-5944	206	7	evident	evident	ADJ
ejpam-5944	206	8	across	across	ADP
ejpam-5944	206	9	all	all	DET
ejpam-5944	206	10	tables	table	NOUN
ejpam-5944	206	11	and	and	CCONJ
ejpam-5944	206	12	figures	figure	NOUN
ejpam-5944	206	13	,	,	PUNCT
ejpam-5944	206	14	consistently	consistently	ADV
ejpam-5944	206	15	outperforming	outperform	VERB
ejpam-5944	206	16	the	the	DET
ejpam-5944	206	17	method	method	NOUN
ejpam-5944	206	18	proposed	propose	VERB
ejpam-5944	206	19	in	in	ADP
ejpam-5944	206	20	[	[	X
ejpam-5944	206	21	25	25	NUM
ejpam-5944	206	22	]	]	PUNCT
ejpam-5944	206	23	in	in	ADP
ejpam-5944	206	24	terms	term	NOUN
ejpam-5944	206	25	of	of	ADP
ejpam-5944	206	26	accuracy	accuracy	NOUN
ejpam-5944	206	27	.	.	PUNCT
ejpam-5944	207	1	the	the	DET
ejpam-5944	207	2	frk4	frk4	PROPN
ejpam-5944	207	3	method	method	NOUN
ejpam-5944	207	4	produced	produce	VERB
ejpam-5944	207	5	significantly	significantly	ADV
ejpam-5944	207	6	more	more	ADV
ejpam-5944	207	7	accurate	accurate	ADJ
ejpam-5944	207	8	results	result	NOUN
ejpam-5944	207	9	,	,	PUNCT
ejpam-5944	207	10	particularly	particularly	ADV
ejpam-5944	207	11	for	for	ADP
ejpam-5944	207	12	smaller	small	ADJ
ejpam-5944	207	13	step	step	NOUN
ejpam-5944	207	14	sizes	size	NOUN
ejpam-5944	207	15	and	and	CCONJ
ejpam-5944	207	16	fractional	fractional	ADJ
ejpam-5944	207	17	orders	order	NOUN
ejpam-5944	207	18	β	β	X
ejpam-5944	207	19	<	<	X
ejpam-5944	207	20	1	1	NUM
ejpam-5944	207	21	,	,	PUNCT
ejpam-5944	207	22	due	due	ADP
ejpam-5944	207	23	to	to	ADP
ejpam-5944	207	24	its	its	PRON
ejpam-5944	207	25	ability	ability	NOUN
ejpam-5944	207	26	to	to	PART
ejpam-5944	207	27	handle	handle	VERB
ejpam-5944	207	28	the	the	DET
ejpam-5944	207	29	non	non	ADJ
ejpam-5944	207	30	-	-	ADJ
ejpam-5944	207	31	local	local	ADJ
ejpam-5944	207	32	nature	nature	NOUN
ejpam-5944	207	33	of	of	ADP
ejpam-5944	207	34	fractional	fractional	ADJ
ejpam-5944	207	35	derivatives	derivative	NOUN
ejpam-5944	207	36	.	.	PUNCT
ejpam-5944	208	1	the	the	DET
ejpam-5944	208	2	observed	observed	ADJ
ejpam-5944	208	3	trend	trend	NOUN
ejpam-5944	208	4	of	of	ADP
ejpam-5944	208	5	improved	improved	ADJ
ejpam-5944	208	6	accuracy	accuracy	NOUN
ejpam-5944	208	7	with	with	ADP
ejpam-5944	208	8	decreasing	decrease	VERB
ejpam-5944	208	9	h	h	NOUN
ejpam-5944	208	10	aligns	align	VERB
ejpam-5944	208	11	with	with	ADP
ejpam-5944	208	12	the	the	DET
ejpam-5944	208	13	method	method	NOUN
ejpam-5944	208	14	’s	’s	PART
ejpam-5944	208	15	theoretical	theoretical	ADJ
ejpam-5944	208	16	error	error	NOUN
ejpam-5944	208	17	bound	bind	VERB
ejpam-5944	208	18	,	,	PUNCT
ejpam-5944	208	19	making	make	VERB
ejpam-5944	208	20	it	it	PRON
ejpam-5944	208	21	a	a	DET
ejpam-5944	208	22	robust	robust	ADJ
ejpam-5944	208	23	choice	choice	NOUN
ejpam-5944	208	24	for	for	ADP
ejpam-5944	208	25	solving	solve	VERB
ejpam-5944	208	26	fractional	fractional	ADJ
ejpam-5944	208	27	differential	differential	ADJ
ejpam-5944	208	28	equations	equation	NOUN
ejpam-5944	208	29	for	for	ADP
ejpam-5944	208	30	further	further	ADJ
ejpam-5944	208	31	details	detail	NOUN
ejpam-5944	208	32	on	on	ADP
ejpam-5944	208	33	the	the	DET
ejpam-5944	208	34	frk4	frk4	NOUN
ejpam-5944	208	35	method	method	NOUN
ejpam-5944	208	36	,	,	PUNCT
ejpam-5944	208	37	see	see	VERB
ejpam-5944	208	38	[	[	X
ejpam-5944	208	39	34	34	NUM
ejpam-5944	208	40	]	]	PUNCT
ejpam-5944	208	41	.	.	PUNCT
ejpam-5944	209	1	table	table	NOUN
ejpam-5944	209	2	1	1	NUM
ejpam-5944	209	3	:	:	PUNCT
ejpam-5944	209	4	the	the	DET
ejpam-5944	209	5	numerical	numerical	ADJ
ejpam-5944	209	6	results	result	NOUN
ejpam-5944	209	7	for	for	ADP
ejpam-5944	209	8	problem	problem	NOUN
ejpam-5944	209	9	1	1	NUM
ejpam-5944	209	10	using	use	VERB
ejpam-5944	209	11	frk4	frk4	NOUN
ejpam-5944	209	12	method	method	NOUN
ejpam-5944	209	13	with	with	ADP
ejpam-5944	209	14	m	m	PROPN
ejpam-5944	209	15	=	=	SYM
ejpam-5944	209	16	10	10	NUM
ejpam-5944	209	17	,	,	PUNCT
ejpam-5944	209	18	γ	γ	X
ejpam-5944	209	19	=	=	SYM
ejpam-5944	209	20	0.5	0.5	NUM
ejpam-5944	209	21	,	,	PUNCT
ejpam-5944	209	22	u0	u0	ADJ
ejpam-5944	209	23	=	=	ADJ
ejpam-5944	209	24	20	20	NUM
ejpam-5944	209	25	,	,	PUNCT
ejpam-5944	209	26	h	h	NOUN
ejpam-5944	210	1	=	=	NOUN
ejpam-5944	210	2	0.01	0.01	NUM
ejpam-5944	210	3	.	.	PUNCT
ejpam-5944	211	1	1	1	NUM
ejpam-5944	211	2	*	*	SYM
ejpam-5944	211	3	β	β	X
ejpam-5944	211	4	=	=	PUNCT
ejpam-5944	211	5	0.96	0.96	NUM
ejpam-5944	211	6	β	β	X
ejpam-5944	211	7	=	=	SYM
ejpam-5944	211	8	1	1	NUM
ejpam-5944	211	9	t	t	NOUN
ejpam-5944	211	10	uapprox	uapprox	ADJ
ejpam-5944	211	11	uexact	uexact	ADJ
ejpam-5944	211	12	errorabs	errorab	NOUN
ejpam-5944	211	13	[	[	X
ejpam-5944	211	14	25	25	NUM
ejpam-5944	211	15	]	]	PUNCT
ejpam-5944	211	16	uapprox	uapprox	ADJ
ejpam-5944	211	17	uexact	uexact	ADJ
ejpam-5944	211	18	errorabs	errorab	NOUN
ejpam-5944	212	1	[	[	X
ejpam-5944	212	2	25	25	NUM
ejpam-5944	212	3	]	]	SYM
ejpam-5944	212	4	0	0	NUM
ejpam-5944	212	5	20.0000	20.0000	NUM
ejpam-5944	212	6	20.0000	20.0000	NUM
ejpam-5944	212	7	0	0	NUM
ejpam-5944	212	8	0	0	NUM
ejpam-5944	212	9	20.0000	20.0000	NUM
ejpam-5944	212	10	20.0000	20.0000	NUM
ejpam-5944	212	11	0	0	NUM
ejpam-5944	212	12	0	0	NUM
ejpam-5944	212	13	0.1	0.1	NUM
ejpam-5944	212	14	18.8778	18.8778	NUM
ejpam-5944	212	15	19.0699	19.0699	NUM
ejpam-5944	212	16	9.0833×10−2	9.0833×10−2	NUM
ejpam-5944	212	17	0.1553	0.1553	NUM
ejpam-5944	212	18	19.0678	19.0678	NUM
ejpam-5944	212	19	19.0699	19.0699	NUM
ejpam-5944	212	20	1.2496×10−10	1.2496×10−10	NUM
ejpam-5944	212	21	2.3897×10−5	2.3897×10−5	NUM
ejpam-5944	212	22	0.2	0.2	NUM
ejpam-5944	212	23	17.9316	17.9316	NUM
ejpam-5944	212	24	18.2621	18.2621	NUM
ejpam-5944	212	25	2.0004×10−1	2.0004×10−1	NUM
ejpam-5944	212	26	0.2680	0.2680	NUM
ejpam-5944	212	27	18.2586	18.2586	NUM
ejpam-5944	212	28	18.2621	18.2621	NUM
ejpam-5944	212	29	1.9640×10−10	1.9640×10−10	NUM
ejpam-5944	212	30	3.9362×10−5	3.9362×10−5	NUM
ejpam-5944	212	31	0.3	0.3	NUM
ejpam-5944	212	32	17.1245	17.1245	NUM
ejpam-5944	212	33	17.5548	17.5548	NUM
ejpam-5944	212	34	2.9312×10−1	2.9312×10−1	NUM
ejpam-5944	212	35	0.3500	0.3500	NUM
ejpam-5944	212	36	17.5502	17.5502	NUM
ejpam-5944	212	37	17.5548	17.5548	NUM
ejpam-5944	212	38	2.3539×10−10	2.3539×10−10	NUM
ejpam-5944	212	39	4.9190×10−5	4.9190×10−5	NOUN
ejpam-5944	212	40	0.4	0.4	NUM
ejpam-5944	212	41	16.4290	16.4290	NUM
ejpam-5944	212	42	16.9309	16.9309	NUM
ejpam-5944	212	43	3.6881×10−1	3.6881×10−1	NUM
ejpam-5944	212	44	0.4093	0.4093	NUM
ejpam-5944	212	45	16.9257	16.9257	NUM
ejpam-5944	212	46	16.9309	16.9309	NUM
ejpam-5944	212	47	2.5442×10−10	2.5442×10−10	NUM
ejpam-5944	212	48	5.5198×10−5	5.5198×10−5	NUM
ejpam-5944	212	49	0.5	0.5	NUM
ejpam-5944	212	50	15.8246	15.8246	NUM
ejpam-5944	212	51	16.3773	16.3773	NUM
ejpam-5944	213	1	4.2913×10−1	4.2913×10−1	PROPN
ejpam-5944	213	2	0.4518	0.4518	NUM
ejpam-5944	213	3	16.3717	16.3717	NUM
ejpam-5944	213	4	16.3773	16.3773	NUM
ejpam-5944	214	1	2.6107×10−10	2.6107×10−10	NUM
ejpam-5944	214	2	5.8593×10−5	5.8593×10−5	NUM
ejpam-5944	214	3	0.6	0.6	NUM
ejpam-5944	214	4	15.2954	15.2954	NUM
ejpam-5944	214	5	15.8833	15.8833	NUM
ejpam-5944	214	6	4.7654×10−1	4.7654×10−1	NUM
ejpam-5944	214	7	0.4816	0.4816	NUM
ejpam-5944	214	8	15.8774	15.8774	NUM
ejpam-5944	214	9	15.8833	15.8833	NUM
ejpam-5944	214	10	2.6005×10−10	2.6005×10−10	NUM
ejpam-5944	215	1	6.0190×10−5	6.0190×10−5	PRON
ejpam-5944	215	2	0.7	0.7	NUM
ejpam-5944	215	3	14.8290	14.8290	NUM
ejpam-5944	215	4	15.4403	15.4403	NUM
ejpam-5944	215	5	5.1326×10−1	5.1326×10−1	NUM
ejpam-5944	215	6	0.5017	0.5017	NUM
ejpam-5944	215	7	15.4342	15.4342	NUM
ejpam-5944	215	8	15.4403	15.4403	NUM
ejpam-5944	215	9	2.5433×10−10	2.5433×10−10	NUM
ejpam-5944	215	10	6.0546×10−5	6.0546×10−5	NUM
ejpam-5944	215	11	0.8	0.8	NUM
ejpam-5944	215	12	14.4156	14.4156	NUM
ejpam-5944	215	13	15.0412	15.0412	NUM
ejpam-5944	216	1	5.4120×10−1	5.4120×10−1	NUM
ejpam-5944	216	2	0.5144	0.5144	NUM
ejpam-5944	216	3	15.0351	15.0351	NUM
ejpam-5944	216	4	15.0412	15.0412	NUM
ejpam-5944	216	5	2.4581×10−10	2.4581×10−10	NUM
ejpam-5944	216	6	6.0048×10−5	6.0048×10−5	NUM
ejpam-5944	216	7	0.9	0.9	NUM
ejpam-5944	216	8	14.0472	14.0472	NUM
ejpam-5944	216	9	14.6803	14.6803	NUM
ejpam-5944	216	10	5.6194×10−1	5.6194×10−1	NUM
ejpam-5944	216	11	0.5213	0.5213	NUM
ejpam-5944	216	12	14.6741	14.6741	NUM
ejpam-5944	216	13	14.6803	14.6803	NUM
ejpam-5944	216	14	2.3571×10−10	2.3571×10−10	NUM
ejpam-5944	216	15	5.8968×10−5	5.8968×10−5	NUM
ejpam-5944	216	16	1	1	NUM
ejpam-5944	216	17	13.7176	13.7176	NUM
ejpam-5944	216	18	14.3527	14.3527	NUM
ejpam-5944	216	19	5.7676×10−1	5.7676×10−1	NUM
ejpam-5944	216	20	0.5238	0.5238	NUM
ejpam-5944	216	21	14.3466	14.3466	NUM
ejpam-5944	216	22	14.3527	14.3527	NUM
ejpam-5944	216	23	2.2482×10−10	2.2482×10−10	NUM
ejpam-5944	216	24	5.7498×10−5	5.7498×10−5	NUM
ejpam-5944	216	25	kamran	kamran	PROPN
ejpam-5944	216	26	et	et	PROPN
ejpam-5944	216	27	al	al	PROPN
ejpam-5944	216	28	.	.	PUNCT
ejpam-5944	216	29	/	/	SYM
ejpam-5944	216	30	eur	eur	PROPN
ejpam-5944	216	31	.	.	PUNCT
ejpam-5944	217	1	j.	j.	PROPN
ejpam-5944	217	2	pure	pure	PROPN
ejpam-5944	217	3	appl	appl	PROPN
ejpam-5944	217	4	.	.	PROPN
ejpam-5944	217	5	math	math	PROPN
ejpam-5944	217	6	,	,	PUNCT
ejpam-5944	217	7	18	18	NUM
ejpam-5944	217	8	(	(	PUNCT
ejpam-5944	217	9	2	2	NUM
ejpam-5944	217	10	)	)	PUNCT
ejpam-5944	217	11	(	(	PUNCT
ejpam-5944	217	12	2025	2025	NUM
ejpam-5944	217	13	)	)	PUNCT
ejpam-5944	217	14	,	,	PUNCT
ejpam-5944	217	15	5944	5944	NUM
ejpam-5944	217	16	12	12	NUM
ejpam-5944	217	17	of	of	ADP
ejpam-5944	217	18	32	32	NUM
ejpam-5944	217	19	table	table	NOUN
ejpam-5944	217	20	2	2	NUM
ejpam-5944	217	21	:	:	PUNCT
ejpam-5944	217	22	the	the	DET
ejpam-5944	217	23	numerical	numerical	ADJ
ejpam-5944	217	24	results	result	NOUN
ejpam-5944	217	25	for	for	ADP
ejpam-5944	217	26	problem	problem	NOUN
ejpam-5944	217	27	1	1	NUM
ejpam-5944	217	28	using	use	VERB
ejpam-5944	217	29	frk4	frk4	NOUN
ejpam-5944	217	30	method	method	NOUN
ejpam-5944	217	31	with	with	ADP
ejpam-5944	217	32	h	h	NOUN
ejpam-5944	217	33	=	=	NOUN
ejpam-5944	217	34	0.005	0.005	NUM
ejpam-5944	217	35	,	,	PUNCT
ejpam-5944	217	36	m	m	VERB
ejpam-5944	217	37	=	=	NOUN
ejpam-5944	217	38	10	10	NUM
ejpam-5944	217	39	,	,	PUNCT
ejpam-5944	217	40	γ	γ	X
ejpam-5944	217	41	=	=	SYM
ejpam-5944	217	42	0.5	0.5	NUM
ejpam-5944	217	43	,	,	PUNCT
ejpam-5944	217	44	u0	u0	NOUN
ejpam-5944	217	45	=	=	ADJ
ejpam-5944	217	46	20	20	NUM
ejpam-5944	217	47	.	.	PUNCT
ejpam-5944	218	1	1	1	NUM
ejpam-5944	218	2	*	*	SYM
ejpam-5944	218	3	β	β	X
ejpam-5944	218	4	=	=	PUNCT
ejpam-5944	218	5	0.96	0.96	NUM
ejpam-5944	218	6	β	β	X
ejpam-5944	218	7	=	=	SYM
ejpam-5944	218	8	1	1	NUM
ejpam-5944	218	9	t	t	NOUN
ejpam-5944	218	10	uapprox	uapprox	ADJ
ejpam-5944	218	11	uexact	uexact	ADJ
ejpam-5944	218	12	errorabs	errorab	NOUN
ejpam-5944	218	13	uapprox	uapprox	ADJ
ejpam-5944	218	14	uexact	uexact	ADJ
ejpam-5944	218	15	errorabs	errorab	NOUN
ejpam-5944	218	16	0	0	NUM
ejpam-5944	218	17	20.0000	20.0000	NUM
ejpam-5944	218	18	20.0000	20.0000	NUM
ejpam-5944	218	19	0	0	NUM
ejpam-5944	218	20	20.0000	20.0000	NUM
ejpam-5944	218	21	20.0000	20.0000	NUM
ejpam-5944	218	22	0	0	NUM
ejpam-5944	218	23	0.1	0.1	NUM
ejpam-5944	218	24	18.8505	18.8505	NUM
ejpam-5944	218	25	19.0699	19.0699	NUM
ejpam-5944	218	26	1.1957×10−1	1.1957×10−1	NUM
ejpam-5944	218	27	19.0689	19.0689	NUM
ejpam-5944	218	28	19.0699	19.0699	NUM
ejpam-5944	218	29	7.7982×10−12	7.7982×10−12	NUM
ejpam-5944	218	30	0.2	0.2	NUM
ejpam-5944	218	31	17.8853	17.8853	NUM
ejpam-5944	218	32	18.2621	18.2621	NUM
ejpam-5944	218	33	2.4873×10−1	2.4873×10−1	NUM
ejpam-5944	218	34	18.2604	18.2604	NUM
ejpam-5944	218	35	18.2621	18.2621	NUM
ejpam-5944	218	36	1.2253×10−11	1.2253×10−11	NUM
ejpam-5944	218	37	0.3	0.3	NUM
ejpam-5944	218	38	17.0649	17.0649	NUM
ejpam-5944	218	39	17.5548	17.5548	NUM
ejpam-5944	218	40	3.5568×10−1	3.5568×10−1	NUM
ejpam-5944	218	41	17.5525	17.5525	NUM
ejpam-5944	218	42	17.5548	17.5548	NUM
ejpam-5944	218	43	1.4683×10−11	1.4683×10−11	NUM
ejpam-5944	218	44	0.4	0.4	NUM
ejpam-5944	218	45	16.3602	16.3602	NUM
ejpam-5944	218	46	16.9309	16.9309	NUM
ejpam-5944	218	47	4.4093×10−1	4.4093×10−1	NUM
ejpam-5944	218	48	16.9283	16.9283	NUM
ejpam-5944	218	49	16.9309	16.9309	NUM
ejpam-5944	218	50	1.5863×10−11	1.5863×10−11	NUM
ejpam-5944	218	51	0.5	0.5	NUM
ejpam-5944	218	52	15.7496	15.7496	NUM
ejpam-5944	218	53	16.3773	16.3773	NUM
ejpam-5944	219	1	5.0771×10−1	5.0771×10−1	NUM
ejpam-5944	219	2	16.3745	16.3745	NUM
ejpam-5944	219	3	16.3773	16.3773	NUM
ejpam-5944	219	4	1.6275×10−11	1.6275×10−11	NUM
ejpam-5944	219	5	0.6	0.6	NUM
ejpam-5944	219	6	15.2163	15.2163	NUM
ejpam-5944	219	7	15.8833	15.8833	NUM
ejpam-5944	219	8	5.5930×10−1	5.5930×10−1	NUM
ejpam-5944	219	9	15.8804	15.8804	NUM
ejpam-5944	219	10	15.8833	15.8833	NUM
ejpam-5944	219	11	1.6216×10−11	1.6216×10−11	NUM
ejpam-5944	219	12	0.7	0.7	NUM
ejpam-5944	219	13	14.7474	14.7474	NUM
ejpam-5944	219	14	15.4403	15.4403	NUM
ejpam-5944	219	15	5.9854×10−1	5.9854×10−1	NUM
ejpam-5944	219	16	15.4373	15.4373	NUM
ejpam-5944	219	17	15.4403	15.4403	NUM
ejpam-5944	219	18	1.5858×10−11	1.5858×10−11	NUM
ejpam-5944	219	19	0.8	0.8	NUM
ejpam-5944	219	20	14.3327	14.3327	NUM
ejpam-5944	219	21	15.0412	15.0412	NUM
ejpam-5944	219	22	6.2776×10−1	6.2776×10−1	NUM
ejpam-5944	219	23	15.0381	15.0381	NUM
ejpam-5944	219	24	15.0412	15.0412	NUM
ejpam-5944	219	25	1.5326×10−11	1.5326×10−11	NUM
ejpam-5944	219	26	0.9	0.9	NUM
ejpam-5944	219	27	13.9639	13.9639	NUM
ejpam-5944	219	28	14.6803	14.6803	NUM
ejpam-5944	219	29	6.4883×10−1	6.4883×10−1	NUM
ejpam-5944	219	30	14.6772	14.6772	NUM
ejpam-5944	219	31	14.6803	14.6803	NUM
ejpam-5944	219	32	1.4703×10−11	1.4703×10−11	NUM
ejpam-5944	219	33	1	1	NUM
ejpam-5944	219	34	13.6345	13.6345	NUM
ejpam-5944	219	35	14.3527	14.3527	NUM
ejpam-5944	219	36	6.6328×10−1	6.6328×10−1	NUM
ejpam-5944	219	37	14.3496	14.3496	NUM
ejpam-5944	219	38	14.3527	14.3527	NUM
ejpam-5944	219	39	1.4026×10−11	1.4026×10−11	NUM
ejpam-5944	219	40	table	table	NOUN
ejpam-5944	219	41	3	3	NUM
ejpam-5944	219	42	:	:	PUNCT
ejpam-5944	219	43	the	the	DET
ejpam-5944	219	44	numerical	numerical	ADJ
ejpam-5944	219	45	results	result	NOUN
ejpam-5944	219	46	for	for	ADP
ejpam-5944	219	47	problem	problem	NOUN
ejpam-5944	219	48	1	1	NUM
ejpam-5944	219	49	using	use	VERB
ejpam-5944	219	50	frk4	frk4	NOUN
ejpam-5944	219	51	method	method	NOUN
ejpam-5944	219	52	with	with	ADP
ejpam-5944	219	53	m	m	PROPN
ejpam-5944	219	54	=	=	SYM
ejpam-5944	219	55	1	1	NUM
ejpam-5944	219	56	,	,	PUNCT
ejpam-5944	219	57	γ	γ	NOUN
ejpam-5944	219	58	=	=	SYM
ejpam-5944	219	59	0.5	0.5	NUM
ejpam-5944	219	60	,	,	PUNCT
ejpam-5944	219	61	h	h	NOUN
ejpam-5944	219	62	=	=	NOUN
ejpam-5944	219	63	0.01	0.01	NUM
ejpam-5944	219	64	,	,	PUNCT
ejpam-5944	219	65	u0	u0	ADJ
ejpam-5944	219	66	=	=	ADJ
ejpam-5944	219	67	20	20	NUM
ejpam-5944	219	68	.	.	PUNCT
ejpam-5944	220	1	1	1	NUM
ejpam-5944	220	2	*	*	SYM
ejpam-5944	220	3	β	β	X
ejpam-5944	220	4	=	=	PUNCT
ejpam-5944	220	5	0.96	0.96	NUM
ejpam-5944	220	6	β	β	X
ejpam-5944	220	7	=	=	SYM
ejpam-5944	220	8	1	1	NUM
ejpam-5944	220	9	t	t	NOUN
ejpam-5944	220	10	uapprox	uapprox	ADJ
ejpam-5944	220	11	uexact	uexact	ADJ
ejpam-5944	220	12	errorabs	errorab	NOUN
ejpam-5944	220	13	uapprox	uapprox	ADJ
ejpam-5944	220	14	uexact	uexact	ADJ
ejpam-5944	220	15	errorabs	errorab	NOUN
ejpam-5944	220	16	0	0	NUM
ejpam-5944	220	17	20.0000	20.0000	NUM
ejpam-5944	220	18	20.0000	20.0000	NUM
ejpam-5944	220	19	0	0	NUM
ejpam-5944	220	20	20.0000	20.0000	NUM
ejpam-5944	220	21	20.0000	20.0000	NUM
ejpam-5944	220	22	0	0	NUM
ejpam-5944	220	23	0.1	0.1	NUM
ejpam-5944	220	24	9.2732	9.2732	NUM
ejpam-5944	220	25	10.3808	10.3808	NUM
ejpam-5944	220	26	4.4651×100	4.4651×100	NOUN
ejpam-5944	220	27	10.2652	10.2652	NUM
ejpam-5944	220	28	10.3808	10.3808	NUM
ejpam-5944	221	1	5.3672×10−6	5.3672×10−6	NUM
ejpam-5944	221	2	0.2	0.2	NUM
ejpam-5944	222	1	6.1926	6.1926	NUM
ejpam-5944	222	2	7.1223	7.1223	NUM
ejpam-5944	222	3	4.9691×10−1	4.9691×10−1	NOUN
ejpam-5944	222	4	7.0410	7.0410	NUM
ejpam-5944	222	5	7.1223	7.1223	NUM
ejpam-5944	222	6	2.6602×10−6	2.6602×10−6	NUM
ejpam-5944	222	7	0.3	0.3	NUM
ejpam-5944	222	8	4.7241	4.7241	NUM
ejpam-5944	222	9	5.4846	5.4846	NUM
ejpam-5944	222	10	4.6844×10−1	4.6844×10−1	NUM
ejpam-5944	222	11	5.4270	5.4270	NUM
ejpam-5944	222	12	5.4846	5.4846	NUM
ejpam-5944	222	13	1.5369×10−6	1.5369×10−6	NUM
ejpam-5944	222	14	0.4	0.4	NUM
ejpam-5944	222	15	3.8645	3.8645	NUM
ejpam-5944	222	16	4.5003	4.5003	NUM
ejpam-5944	222	17	4.2969×10−1	4.2969×10−1	PROPN
ejpam-5944	222	18	4.4576	4.4576	NUM
ejpam-5944	222	19	4.5003	4.5003	NUM
ejpam-5944	222	20	9.9278×10−7	9.9278×10−7	NOUN
ejpam-5944	222	21	0.5	0.5	NUM
ejpam-5944	222	22	3.3006	3.3006	NUM
ejpam-5944	222	23	3.8441	3.8441	NUM
ejpam-5944	222	24	3.9314×10−1	3.9314×10−1	NUM
ejpam-5944	222	25	3.8111	3.8111	NUM
ejpam-5944	222	26	3.8441	3.8441	NUM
ejpam-5944	222	27	6.9170×10−7	6.9170×10−7	NOUN
ejpam-5944	222	28	0.6	0.6	NUM
ejpam-5944	222	29	2.9027	2.9027	NUM
ejpam-5944	222	30	3.3758	3.3758	NUM
ejpam-5944	222	31	3.6096×10−1	3.6096×10−1	NOUN
ejpam-5944	222	32	3.3495	3.3495	NUM
ejpam-5944	222	33	3.3758	3.3758	NUM
ejpam-5944	222	34	5.0846×10−7	5.0846×10−7	NOUN
ejpam-5944	222	35	0.7	0.7	NUM
ejpam-5944	222	36	2.6073	2.6073	NUM
ejpam-5944	222	37	3.0253	3.0253	NUM
ejpam-5944	222	38	3.3304×10−1	3.3304×10−1	NUM
ejpam-5944	222	39	3.0038	3.0038	NUM
ejpam-5944	222	40	3.0253	3.0253	NUM
ejpam-5944	222	41	3.8888×10−7	3.8888×10−7	NUM
ejpam-5944	222	42	0.8	0.8	NUM
ejpam-5944	222	43	2.3797	2.3797	NUM
ejpam-5944	222	44	2.7533	2.7533	NUM
ejpam-5944	222	45	3.0880×10−1	3.0880×10−1	NUM
ejpam-5944	222	46	2.7355	2.7355	NUM
ejpam-5944	222	47	2.7533	2.7533	NUM
ejpam-5944	222	48	3.0662×10−7	3.0662×10−7	NUM
ejpam-5944	222	49	0.9	0.9	NUM
ejpam-5944	222	50	2.1992	2.1992	NUM
ejpam-5944	222	51	2.5364	2.5364	NUM
ejpam-5944	222	52	2.8762×10−1	2.8762×10−1	PROPN
ejpam-5944	222	53	2.5213	2.5213	NUM
ejpam-5944	222	54	2.5364	2.5364	NUM
ejpam-5944	222	55	2.4764×10−7	2.4764×10−7	NOUN
ejpam-5944	222	56	1	1	NUM
ejpam-5944	222	57	2.0528	2.0528	NUM
ejpam-5944	222	58	2.3596	2.3596	NUM
ejpam-5944	222	59	2.6897×10−1	2.6897×10−1	PROPN
ejpam-5944	222	60	2.3467	2.3467	NUM
ejpam-5944	222	61	2.3596	2.3596	NUM
ejpam-5944	222	62	2.0394×10−7	2.0394×10−7	NOUN
ejpam-5944	222	63	kamran	kamran	PROPN
ejpam-5944	222	64	et	et	PROPN
ejpam-5944	222	65	al	al	PROPN
ejpam-5944	222	66	.	.	PUNCT
ejpam-5944	222	67	/	/	SYM
ejpam-5944	222	68	eur	eur	PROPN
ejpam-5944	222	69	.	.	PUNCT
ejpam-5944	223	1	j.	j.	PROPN
ejpam-5944	223	2	pure	pure	PROPN
ejpam-5944	223	3	appl	appl	PROPN
ejpam-5944	223	4	.	.	PROPN
ejpam-5944	223	5	math	math	PROPN
ejpam-5944	223	6	,	,	PUNCT
ejpam-5944	223	7	18	18	NUM
ejpam-5944	223	8	(	(	PUNCT
ejpam-5944	223	9	2	2	NUM
ejpam-5944	223	10	)	)	PUNCT
ejpam-5944	223	11	(	(	PUNCT
ejpam-5944	223	12	2025	2025	NUM
ejpam-5944	223	13	)	)	PUNCT
ejpam-5944	223	14	,	,	PUNCT
ejpam-5944	223	15	5944	5944	NUM
ejpam-5944	223	16	13	13	NUM
ejpam-5944	223	17	of	of	ADP
ejpam-5944	223	18	32	32	NUM
ejpam-5944	223	19	table	table	NOUN
ejpam-5944	223	20	4	4	NUM
ejpam-5944	223	21	:	:	PUNCT
ejpam-5944	223	22	the	the	DET
ejpam-5944	223	23	numerical	numerical	ADJ
ejpam-5944	223	24	results	result	NOUN
ejpam-5944	223	25	for	for	ADP
ejpam-5944	223	26	problem	problem	NOUN
ejpam-5944	223	27	1	1	NUM
ejpam-5944	223	28	using	use	VERB
ejpam-5944	223	29	frk4	frk4	NOUN
ejpam-5944	223	30	method	method	NOUN
ejpam-5944	223	31	with	with	ADP
ejpam-5944	223	32	m	m	PROPN
ejpam-5944	223	33	=	=	SYM
ejpam-5944	223	34	1	1	NUM
ejpam-5944	223	35	,	,	PUNCT
ejpam-5944	223	36	u0	u0	ADJ
ejpam-5944	223	37	=	=	NOUN
ejpam-5944	223	38	10	10	NUM
ejpam-5944	223	39	,	,	PUNCT
ejpam-5944	223	40	γ	γ	X
ejpam-5944	223	41	=	=	SYM
ejpam-5944	223	42	0.5	0.5	NUM
ejpam-5944	223	43	,	,	PUNCT
ejpam-5944	223	44	h	h	NOUN
ejpam-5944	223	45	=	=	NOUN
ejpam-5944	223	46	0.005	0.005	NUM
ejpam-5944	223	47	.	.	PUNCT
ejpam-5944	224	1	1	1	NUM
ejpam-5944	224	2	*	*	SYM
ejpam-5944	224	3	β	β	X
ejpam-5944	224	4	=	=	PUNCT
ejpam-5944	224	5	0.96	0.96	NUM
ejpam-5944	224	6	β	β	X
ejpam-5944	224	7	=	=	SYM
ejpam-5944	224	8	1	1	NUM
ejpam-5944	224	9	t	t	NOUN
ejpam-5944	224	10	uapprox	uapprox	ADJ
ejpam-5944	224	11	uexact	uexact	ADJ
ejpam-5944	224	12	errorabs	errorab	NOUN
ejpam-5944	224	13	uapprox	uapprox	ADJ
ejpam-5944	224	14	uexact	uexact	ADJ
ejpam-5944	224	15	errorabs	errorab	NOUN
ejpam-5944	224	16	0	0	NUM
ejpam-5944	224	17	10.0000	10.0000	NUM
ejpam-5944	224	18	10.0000	10.0000	NUM
ejpam-5944	224	19	0	0	NUM
ejpam-5944	224	20	10.0000	10.0000	NUM
ejpam-5944	224	21	10.0000	10.0000	NUM
ejpam-5944	224	22	0	0	NUM
ejpam-5944	224	23	0.1	0.1	NUM
ejpam-5944	224	24	6.4423	6.4423	NUM
ejpam-5944	224	25	6.9496	6.9496	NUM
ejpam-5944	224	26	2.6127×10−1	2.6127×10−1	NUM
ejpam-5944	225	1	6.9360	6.9360	NUM
ejpam-5944	225	2	6.9496	6.9496	NUM
ejpam-5944	225	3	1.3360×10−8	1.3360×10−8	NUM
ejpam-5944	225	4	0.2	0.2	NUM
ejpam-5944	225	5	4.8325	4.8325	NUM
ejpam-5944	225	6	5.3866	5.3866	NUM
ejpam-5944	225	7	3.4761×10−1	3.4761×10−1	NUM
ejpam-5944	225	8	5.3733	5.3733	NUM
ejpam-5944	225	9	5.3866	5.3866	NUM
ejpam-5944	225	10	9.6239×10−9	9.6239×10−9	NUM
ejpam-5944	225	11	0.3	0.3	NUM
ejpam-5944	225	12	3.9152	3.9152	NUM
ejpam-5944	225	13	4.4373	4.4373	NUM
ejpam-5944	225	14	3.6279×10−1	3.6279×10−1	NUM
ejpam-5944	225	15	4.4259	4.4259	NUM
ejpam-5944	225	16	4.4373	4.4373	NUM
ejpam-5944	225	17	6.6909×10−9	6.6909×10−9	NUM
ejpam-5944	225	18	0.4	0.4	NUM
ejpam-5944	225	19	3.3234	3.3234	NUM
ejpam-5944	225	20	3.8002	3.8002	NUM
ejpam-5944	225	21	3.5485×10−1	3.5485×10−1	NUM
ejpam-5944	225	22	3.7907	3.7907	NUM
ejpam-5944	225	23	3.8002	3.8002	NUM
ejpam-5944	225	24	4.8216×10−9	4.8216×10−9	NUM
ejpam-5944	225	25	0.5	0.5	NUM
ejpam-5944	225	26	2.9105	2.9105	NUM
ejpam-5944	225	27	3.3436	3.3436	NUM
ejpam-5944	225	28	3.3838×10−1	3.3838×10−1	NUM
ejpam-5944	225	29	3.3356	3.3356	NUM
ejpam-5944	225	30	3.3436	3.3436	NUM
ejpam-5944	225	31	3.6101×10−9	3.6101×10−9	NOUN
ejpam-5944	225	32	0.6	0.6	NUM
ejpam-5944	225	33	2.6066	2.6066	NUM
ejpam-5944	225	34	3.0006	3.0006	NUM
ejpam-5944	225	35	3.2152×10−1	3.2152×10−1	NUM
ejpam-5944	225	36	2.9938	2.9938	NUM
ejpam-5944	225	37	3.0006	3.0006	NUM
ejpam-5944	225	38	2.7923×10−9	2.7923×10−9	NUM
ejpam-5944	225	39	0.7	0.7	NUM
ejpam-5944	225	40	2.3739	2.3739	NUM
ejpam-5944	225	41	2.7339	2.7339	NUM
ejpam-5944	225	42	3.0383×10−1	3.0383×10−1	PROPN
ejpam-5944	225	43	2.7280	2.7280	NUM
ejpam-5944	225	44	2.7339	2.7339	NUM
ejpam-5944	225	45	2.2180×10−9	2.2180×10−9	NUM
ejpam-5944	225	46	0.8	0.8	NUM
ejpam-5944	225	47	2.1903	2.1903	NUM
ejpam-5944	225	48	2.5207	2.5207	NUM
ejpam-5944	225	49	2.8700×10−1	2.8700×10−1	NUM
ejpam-5944	225	50	2.5157	2.5157	NUM
ejpam-5944	225	51	2.5207	2.5207	NUM
ejpam-5944	225	52	1.8008×10−9	1.8008×10−9	NOUN
ejpam-5944	225	53	0.9	0.9	NUM
ejpam-5944	225	54	2.0421	2.0421	NUM
ejpam-5944	225	55	2.3467	2.3467	NUM
ejpam-5944	225	56	2.7129×10−1	2.7129×10−1	NUM
ejpam-5944	225	57	2.3422	2.3422	NUM
ejpam-5944	225	58	2.3467	2.3467	NUM
ejpam-5944	225	59	1.4887×10−9	1.4887×10−9	NUM
ejpam-5944	225	60	1	1	NUM
ejpam-5944	225	61	1.9200	1.9200	NUM
ejpam-5944	225	62	2.2020	2.2020	NUM
ejpam-5944	225	63	2.5676×10−1	2.5676×10−1	PROPN
ejpam-5944	225	64	2.1981	2.1981	NUM
ejpam-5944	225	65	2.2020	2.2020	NUM
ejpam-5944	225	66	1.2494×10−9	1.2494×10−9	NOUN
ejpam-5944	225	67	0	0	NUM
ejpam-5944	225	68	0.1	0.1	NUM
ejpam-5944	225	69	0.2	0.2	NUM
ejpam-5944	225	70	0.3	0.3	NUM
ejpam-5944	225	71	0.4	0.4	NUM
ejpam-5944	225	72	0.5	0.5	NUM
ejpam-5944	225	73	0.6	0.6	NUM
ejpam-5944	225	74	0.7	0.7	NUM
ejpam-5944	225	75	0.8	0.8	NUM
ejpam-5944	225	76	0.9	0.9	NUM
ejpam-5944	225	77	1	1	NUM
ejpam-5944	225	78	t	t	NOUN
ejpam-5944	225	79	14	14	NUM
ejpam-5944	225	80	15	15	NUM
ejpam-5944	225	81	16	16	NUM
ejpam-5944	225	82	17	17	NUM
ejpam-5944	225	83	18	18	NUM
ejpam-5944	225	84	19	19	NUM
ejpam-5944	225	85	20	20	NUM
ejpam-5944	225	86	u	u	NOUN
ejpam-5944	225	87	(	(	PUNCT
ejpam-5944	225	88	t	t	PROPN
ejpam-5944	225	89	)	)	PUNCT
ejpam-5944	225	90	frac	frac	ADJ
ejpam-5944	225	91	-	-	PUNCT
ejpam-5944	225	92	rk4	rk4	NOUN
ejpam-5944	225	93	exact	exact	NOUN
ejpam-5944	225	94	(	(	PUNCT
ejpam-5944	225	95	a	a	X
ejpam-5944	225	96	)	)	PUNCT
ejpam-5944	225	97	0	0	NUM
ejpam-5944	225	98	0.1	0.1	NUM
ejpam-5944	225	99	0.2	0.2	NUM
ejpam-5944	225	100	0.3	0.3	NUM
ejpam-5944	225	101	0.4	0.4	NUM
ejpam-5944	225	102	0.5	0.5	NUM
ejpam-5944	225	103	0.6	0.6	NUM
ejpam-5944	225	104	0.7	0.7	NUM
ejpam-5944	225	105	0.8	0.8	NUM
ejpam-5944	225	106	0.9	0.9	NUM
ejpam-5944	225	107	1	1	NUM
ejpam-5944	225	108	t	t	PROPN
ejpam-5944	225	109	13	13	NUM
ejpam-5944	225	110	14	14	NUM
ejpam-5944	225	111	15	15	NUM
ejpam-5944	225	112	16	16	NUM
ejpam-5944	225	113	17	17	NUM
ejpam-5944	225	114	18	18	NUM
ejpam-5944	225	115	19	19	NUM
ejpam-5944	225	116	20	20	NUM
ejpam-5944	225	117	u	u	NOUN
ejpam-5944	225	118	(	(	PUNCT
ejpam-5944	225	119	t	t	NOUN
ejpam-5944	225	120	)	)	PUNCT
ejpam-5944	225	121	frk4	frk4	PROPN
ejpam-5944	225	122	exact	exact	ADJ
ejpam-5944	225	123	(	(	PUNCT
ejpam-5944	225	124	b	b	NOUN
ejpam-5944	225	125	)	)	PUNCT
ejpam-5944	225	126	figure	figure	NOUN
ejpam-5944	225	127	1	1	NUM
ejpam-5944	225	128	:	:	PUNCT
ejpam-5944	225	129	(	(	PUNCT
ejpam-5944	225	130	a	a	X
ejpam-5944	225	131	)	)	PUNCT
ejpam-5944	225	132	the	the	DET
ejpam-5944	225	133	approximate	approximate	ADJ
ejpam-5944	225	134	and	and	CCONJ
ejpam-5944	225	135	exact	exact	ADJ
ejpam-5944	225	136	solution	solution	NOUN
ejpam-5944	225	137	of	of	ADP
ejpam-5944	225	138	problem	problem	NOUN
ejpam-5944	225	139	1	1	NUM
ejpam-5944	225	140	using	use	VERB
ejpam-5944	225	141	frk4	frk4	NOUN
ejpam-5944	225	142	method	method	NOUN
ejpam-5944	225	143	with	with	ADP
ejpam-5944	225	144	m	m	PROPN
ejpam-5944	225	145	=	=	SYM
ejpam-5944	225	146	10	10	NUM
ejpam-5944	225	147	,	,	PUNCT
ejpam-5944	225	148	u0	u0	ADJ
ejpam-5944	225	149	=	=	ADJ
ejpam-5944	225	150	20	20	NUM
ejpam-5944	225	151	,	,	PUNCT
ejpam-5944	225	152	γ	γ	X
ejpam-5944	225	153	=	=	SYM
ejpam-5944	225	154	0.5	0.5	NUM
ejpam-5944	225	155	,	,	PUNCT
ejpam-5944	225	156	h	h	NOUN
ejpam-5944	225	157	=	=	NOUN
ejpam-5944	225	158	0.01	0.01	NUM
ejpam-5944	225	159	,	,	PUNCT
ejpam-5944	225	160	β	β	X
ejpam-5944	225	161	=	=	NOUN
ejpam-5944	225	162	1	1	X
ejpam-5944	225	163	.	.	PUNCT
ejpam-5944	226	1	we	we	PRON
ejpam-5944	226	2	see	see	VERB
ejpam-5944	226	3	that	that	SCONJ
ejpam-5944	226	4	the	the	DET
ejpam-5944	226	5	approximate	approximate	ADJ
ejpam-5944	226	6	solution	solution	NOUN
ejpam-5944	226	7	closely	closely	ADV
ejpam-5944	226	8	follows	follow	VERB
ejpam-5944	226	9	the	the	DET
ejpam-5944	226	10	exact	exact	ADJ
ejpam-5944	226	11	solution	solution	NOUN
ejpam-5944	226	12	.	.	PUNCT
ejpam-5944	227	1	(	(	PUNCT
ejpam-5944	227	2	b	b	X
ejpam-5944	227	3	)	)	PUNCT
ejpam-5944	227	4	the	the	DET
ejpam-5944	227	5	approximate	approximate	ADJ
ejpam-5944	227	6	and	and	CCONJ
ejpam-5944	227	7	exact	exact	ADJ
ejpam-5944	227	8	solution	solution	NOUN
ejpam-5944	227	9	of	of	ADP
ejpam-5944	227	10	problem	problem	NOUN
ejpam-5944	227	11	1	1	NUM
ejpam-5944	227	12	using	use	VERB
ejpam-5944	227	13	frk4	frk4	NOUN
ejpam-5944	227	14	method	method	NOUN
ejpam-5944	227	15	with	with	ADP
ejpam-5944	227	16	m	m	PROPN
ejpam-5944	227	17	=	=	SYM
ejpam-5944	227	18	10	10	NUM
ejpam-5944	227	19	,	,	PUNCT
ejpam-5944	227	20	u0	u0	ADJ
ejpam-5944	227	21	=	=	ADJ
ejpam-5944	227	22	20	20	NUM
ejpam-5944	227	23	,	,	PUNCT
ejpam-5944	227	24	γ	γ	X
ejpam-5944	227	25	=	=	SYM
ejpam-5944	227	26	0.5	0.5	NUM
ejpam-5944	227	27	,	,	PUNCT
ejpam-5944	227	28	h	h	NOUN
ejpam-5944	227	29	=	=	NOUN
ejpam-5944	227	30	0.01	0.01	NUM
ejpam-5944	227	31	,	,	PUNCT
ejpam-5944	227	32	β	β	X
ejpam-5944	227	33	=	=	SYM
ejpam-5944	227	34	0.96	0.96	NUM
ejpam-5944	227	35	.	.	PUNCT
ejpam-5944	228	1	the	the	DET
ejpam-5944	228	2	approximate	approximate	ADJ
ejpam-5944	228	3	solution	solution	NOUN
ejpam-5944	228	4	for	for	ADP
ejpam-5944	228	5	β	β	X
ejpam-5944	228	6	=	=	SYM
ejpam-5944	228	7	0.96	0.96	NUM
ejpam-5944	228	8	deviates	deviate	VERB
ejpam-5944	228	9	slightly	slightly	ADV
ejpam-5944	228	10	,	,	PUNCT
ejpam-5944	228	11	reflecting	reflect	VERB
ejpam-5944	228	12	the	the	DET
ejpam-5944	228	13	memory	memory	NOUN
ejpam-5944	228	14	effects	effect	NOUN
ejpam-5944	228	15	introduced	introduce	VERB
ejpam-5944	228	16	by	by	ADP
ejpam-5944	228	17	the	the	DET
ejpam-5944	228	18	fractional	fractional	ADJ
ejpam-5944	228	19	derivative	derivative	NOUN
ejpam-5944	228	20	.	.	PUNCT
ejpam-5944	229	1	kamran	kamran	PROPN
ejpam-5944	229	2	et	et	PROPN
ejpam-5944	229	3	al	al	PROPN
ejpam-5944	229	4	.	.	PUNCT
ejpam-5944	229	5	/	/	SYM
ejpam-5944	229	6	eur	eur	PROPN
ejpam-5944	229	7	.	.	PUNCT
ejpam-5944	230	1	j.	j.	PROPN
ejpam-5944	230	2	pure	pure	PROPN
ejpam-5944	230	3	appl	appl	PROPN
ejpam-5944	230	4	.	.	PROPN
ejpam-5944	230	5	math	math	PROPN
ejpam-5944	230	6	,	,	PUNCT
ejpam-5944	230	7	18	18	NUM
ejpam-5944	230	8	(	(	PUNCT
ejpam-5944	230	9	2	2	NUM
ejpam-5944	230	10	)	)	PUNCT
ejpam-5944	230	11	(	(	PUNCT
ejpam-5944	230	12	2025	2025	NUM
ejpam-5944	230	13	)	)	PUNCT
ejpam-5944	230	14	,	,	PUNCT
ejpam-5944	230	15	5944	5944	NUM
ejpam-5944	230	16	14	14	NUM
ejpam-5944	230	17	of	of	ADP
ejpam-5944	230	18	32	32	NUM
ejpam-5944	230	19	0	0	NUM
ejpam-5944	230	20	0.1	0.1	NUM
ejpam-5944	230	21	0.2	0.2	NUM
ejpam-5944	230	22	0.3	0.3	NUM
ejpam-5944	230	23	0.4	0.4	NUM
ejpam-5944	230	24	0.5	0.5	NUM
ejpam-5944	230	25	0.6	0.6	NUM
ejpam-5944	230	26	0.7	0.7	NUM
ejpam-5944	230	27	0.8	0.8	NUM
ejpam-5944	230	28	0.9	0.9	NUM
ejpam-5944	230	29	1	1	NUM
ejpam-5944	230	30	t	t	NOUN
ejpam-5944	230	31	14	14	NUM
ejpam-5944	230	32	15	15	NUM
ejpam-5944	230	33	16	16	NUM
ejpam-5944	230	34	17	17	NUM
ejpam-5944	230	35	18	18	NUM
ejpam-5944	230	36	19	19	NUM
ejpam-5944	230	37	20	20	NUM
ejpam-5944	230	38	u	u	NOUN
ejpam-5944	230	39	(	(	PUNCT
ejpam-5944	230	40	t	t	NOUN
ejpam-5944	230	41	)	)	PUNCT
ejpam-5944	230	42	frk4	frk4	PROPN
ejpam-5944	230	43	exact	exact	NOUN
ejpam-5944	230	44	(	(	PUNCT
ejpam-5944	230	45	a	a	X
ejpam-5944	230	46	)	)	PUNCT
ejpam-5944	230	47	0	0	NUM
ejpam-5944	230	48	0.1	0.1	NUM
ejpam-5944	230	49	0.2	0.2	NUM
ejpam-5944	230	50	0.3	0.3	NUM
ejpam-5944	230	51	0.4	0.4	NUM
ejpam-5944	230	52	0.5	0.5	NUM
ejpam-5944	230	53	0.6	0.6	NUM
ejpam-5944	230	54	0.7	0.7	NUM
ejpam-5944	230	55	0.8	0.8	NUM
ejpam-5944	230	56	0.9	0.9	NUM
ejpam-5944	230	57	1	1	NUM
ejpam-5944	230	58	t	t	PROPN
ejpam-5944	230	59	13	13	NUM
ejpam-5944	230	60	14	14	NUM
ejpam-5944	230	61	15	15	NUM
ejpam-5944	230	62	16	16	NUM
ejpam-5944	230	63	17	17	NUM
ejpam-5944	230	64	18	18	NUM
ejpam-5944	230	65	19	19	NUM
ejpam-5944	230	66	20	20	NUM
ejpam-5944	230	67	u	u	NOUN
ejpam-5944	230	68	(	(	PUNCT
ejpam-5944	230	69	t	t	NOUN
ejpam-5944	230	70	)	)	PUNCT
ejpam-5944	230	71	frk4	frk4	PROPN
ejpam-5944	230	72	exact	exact	ADJ
ejpam-5944	230	73	(	(	PUNCT
ejpam-5944	230	74	b	b	NOUN
ejpam-5944	230	75	)	)	PUNCT
ejpam-5944	230	76	figure	figure	NOUN
ejpam-5944	230	77	2	2	NUM
ejpam-5944	230	78	:	:	PUNCT
ejpam-5944	230	79	(	(	PUNCT
ejpam-5944	230	80	a	a	X
ejpam-5944	230	81	)	)	PUNCT
ejpam-5944	230	82	the	the	DET
ejpam-5944	230	83	approximate	approximate	ADJ
ejpam-5944	230	84	and	and	CCONJ
ejpam-5944	230	85	exact	exact	ADJ
ejpam-5944	230	86	solution	solution	NOUN
ejpam-5944	230	87	of	of	ADP
ejpam-5944	230	88	problem	problem	NOUN
ejpam-5944	230	89	1	1	NUM
ejpam-5944	230	90	using	use	VERB
ejpam-5944	230	91	frk4	frk4	NOUN
ejpam-5944	230	92	method	method	NOUN
ejpam-5944	230	93	with	with	ADP
ejpam-5944	230	94	m	m	PROPN
ejpam-5944	230	95	=	=	SYM
ejpam-5944	230	96	10	10	NUM
ejpam-5944	230	97	,	,	PUNCT
ejpam-5944	230	98	u0	u0	ADJ
ejpam-5944	230	99	=	=	ADJ
ejpam-5944	230	100	20	20	NUM
ejpam-5944	230	101	,	,	PUNCT
ejpam-5944	230	102	γ	γ	X
ejpam-5944	230	103	=	=	SYM
ejpam-5944	230	104	0.5	0.5	NUM
ejpam-5944	230	105	,	,	PUNCT
ejpam-5944	230	106	h	h	NOUN
ejpam-5944	230	107	=	=	NOUN
ejpam-5944	230	108	0.005	0.005	NUM
ejpam-5944	230	109	,	,	PUNCT
ejpam-5944	230	110	β	β	X
ejpam-5944	230	111	=	=	NOUN
ejpam-5944	230	112	1	1	X
ejpam-5944	230	113	.	.	PUNCT
ejpam-5944	231	1	here	here	ADV
ejpam-5944	231	2	we	we	PRON
ejpam-5944	231	3	observed	observe	VERB
ejpam-5944	231	4	that	that	SCONJ
ejpam-5944	231	5	the	the	DET
ejpam-5944	231	6	smaller	small	ADJ
ejpam-5944	231	7	step	step	NOUN
ejpam-5944	231	8	size	size	NOUN
ejpam-5944	231	9	h	h	NOUN
ejpam-5944	231	10	=	=	NOUN
ejpam-5944	231	11	0.005	0.005	NUM
ejpam-5944	231	12	improves	improve	VERB
ejpam-5944	231	13	the	the	DET
ejpam-5944	231	14	accuracy	accuracy	NOUN
ejpam-5944	231	15	.	.	PUNCT
ejpam-5944	232	1	(	(	PUNCT
ejpam-5944	232	2	b	b	X
ejpam-5944	232	3	)	)	PUNCT
ejpam-5944	232	4	the	the	DET
ejpam-5944	232	5	approximate	approximate	ADJ
ejpam-5944	232	6	and	and	CCONJ
ejpam-5944	232	7	exact	exact	ADJ
ejpam-5944	232	8	solutions	solution	NOUN
ejpam-5944	232	9	of	of	ADP
ejpam-5944	232	10	problem	problem	NOUN
ejpam-5944	232	11	1	1	NUM
ejpam-5944	232	12	using	use	VERB
ejpam-5944	232	13	frk4	frk4	NOUN
ejpam-5944	232	14	method	method	NOUN
ejpam-5944	232	15	with	with	ADP
ejpam-5944	232	16	m	m	PROPN
ejpam-5944	232	17	=	=	SYM
ejpam-5944	232	18	10	10	NUM
ejpam-5944	232	19	,	,	PUNCT
ejpam-5944	232	20	u0	u0	ADJ
ejpam-5944	232	21	=	=	ADJ
ejpam-5944	232	22	20	20	NUM
ejpam-5944	232	23	,	,	PUNCT
ejpam-5944	232	24	γ	γ	X
ejpam-5944	232	25	=	=	SYM
ejpam-5944	232	26	0.5	0.5	NUM
ejpam-5944	232	27	,	,	PUNCT
ejpam-5944	232	28	h	h	NOUN
ejpam-5944	232	29	=	=	NOUN
ejpam-5944	232	30	0.005	0.005	NUM
ejpam-5944	232	31	,	,	PUNCT
ejpam-5944	232	32	β	β	X
ejpam-5944	232	33	=	=	SYM
ejpam-5944	232	34	0.96	0.96	NUM
ejpam-5944	232	35	.	.	PUNCT
ejpam-5944	233	1	here	here	ADV
ejpam-5944	233	2	,	,	PUNCT
ejpam-5944	233	3	we	we	PRON
ejpam-5944	233	4	observe	observe	VERB
ejpam-5944	233	5	that	that	SCONJ
ejpam-5944	233	6	the	the	DET
ejpam-5944	233	7	numerical	numerical	ADJ
ejpam-5944	233	8	solution	solution	NOUN
ejpam-5944	233	9	deviates	deviate	VERB
ejpam-5944	233	10	,	,	PUNCT
ejpam-5944	233	11	but	but	CCONJ
ejpam-5944	233	12	the	the	DET
ejpam-5944	233	13	results	result	NOUN
ejpam-5944	233	14	are	be	AUX
ejpam-5944	233	15	still	still	ADV
ejpam-5944	233	16	acceptable	acceptable	ADJ
ejpam-5944	233	17	.	.	PUNCT
ejpam-5944	234	1	the	the	DET
ejpam-5944	234	2	figures	figure	NOUN
ejpam-5944	234	3	highlight	highlight	VERB
ejpam-5944	234	4	that	that	SCONJ
ejpam-5944	234	5	reducing	reduce	VERB
ejpam-5944	234	6	h	h	NOUN
ejpam-5944	234	7	enhances	enhance	VERB
ejpam-5944	234	8	the	the	DET
ejpam-5944	234	9	method	method	NOUN
ejpam-5944	234	10	’s	’s	PART
ejpam-5944	234	11	ability	ability	NOUN
ejpam-5944	234	12	to	to	PART
ejpam-5944	234	13	approximate	approximate	VERB
ejpam-5944	234	14	the	the	DET
ejpam-5944	234	15	exact	exact	ADJ
ejpam-5944	234	16	solution	solution	NOUN
ejpam-5944	234	17	.	.	PUNCT
ejpam-5944	235	1	0	0	NUM
ejpam-5944	235	2	0.1	0.1	NUM
ejpam-5944	235	3	0.2	0.2	NUM
ejpam-5944	235	4	0.3	0.3	NUM
ejpam-5944	235	5	0.4	0.4	NUM
ejpam-5944	235	6	0.5	0.5	NUM
ejpam-5944	235	7	0.6	0.6	NUM
ejpam-5944	235	8	0.7	0.7	NUM
ejpam-5944	235	9	0.8	0.8	NUM
ejpam-5944	235	10	0.9	0.9	NUM
ejpam-5944	235	11	1	1	NUM
ejpam-5944	235	12	t	t	NOUN
ejpam-5944	235	13	2	2	NUM
ejpam-5944	235	14	4	4	NUM
ejpam-5944	235	15	6	6	NUM
ejpam-5944	235	16	8	8	NUM
ejpam-5944	235	17	10	10	NUM
ejpam-5944	235	18	12	12	NUM
ejpam-5944	235	19	14	14	NUM
ejpam-5944	235	20	16	16	NUM
ejpam-5944	235	21	18	18	NUM
ejpam-5944	235	22	20	20	NUM
ejpam-5944	235	23	u	u	NOUN
ejpam-5944	235	24	(	(	PUNCT
ejpam-5944	235	25	t	t	NOUN
ejpam-5944	235	26	)	)	PUNCT
ejpam-5944	235	27	frk4	frk4	PROPN
ejpam-5944	235	28	exact	exact	NOUN
ejpam-5944	235	29	(	(	PUNCT
ejpam-5944	235	30	a	a	X
ejpam-5944	235	31	)	)	PUNCT
ejpam-5944	235	32	0	0	NUM
ejpam-5944	235	33	0.1	0.1	NUM
ejpam-5944	235	34	0.2	0.2	NUM
ejpam-5944	235	35	0.3	0.3	NUM
ejpam-5944	235	36	0.4	0.4	NUM
ejpam-5944	235	37	0.5	0.5	NUM
ejpam-5944	235	38	0.6	0.6	NUM
ejpam-5944	235	39	0.7	0.7	NUM
ejpam-5944	235	40	0.8	0.8	NUM
ejpam-5944	235	41	0.9	0.9	NUM
ejpam-5944	235	42	1	1	NUM
ejpam-5944	235	43	t	t	NOUN
ejpam-5944	235	44	2	2	NUM
ejpam-5944	235	45	4	4	NUM
ejpam-5944	235	46	6	6	NUM
ejpam-5944	235	47	8	8	NUM
ejpam-5944	235	48	10	10	NUM
ejpam-5944	235	49	12	12	NUM
ejpam-5944	235	50	14	14	NUM
ejpam-5944	235	51	16	16	NUM
ejpam-5944	235	52	18	18	NUM
ejpam-5944	235	53	20	20	NUM
ejpam-5944	235	54	u	u	NOUN
ejpam-5944	235	55	(	(	PUNCT
ejpam-5944	235	56	t	t	PROPN
ejpam-5944	235	57	)	)	PUNCT
ejpam-5944	235	58	frac	frac	ADJ
ejpam-5944	235	59	-	-	PUNCT
ejpam-5944	235	60	rk4	rk4	NOUN
ejpam-5944	235	61	exact	exact	NOUN
ejpam-5944	235	62	(	(	PUNCT
ejpam-5944	235	63	b	b	NOUN
ejpam-5944	235	64	)	)	PUNCT
ejpam-5944	235	65	figure	figure	NOUN
ejpam-5944	235	66	3	3	NUM
ejpam-5944	235	67	:	:	PUNCT
ejpam-5944	235	68	(	(	PUNCT
ejpam-5944	235	69	a	a	X
ejpam-5944	235	70	)	)	PUNCT
ejpam-5944	235	71	the	the	DET
ejpam-5944	235	72	approximate	approximate	ADJ
ejpam-5944	235	73	and	and	CCONJ
ejpam-5944	235	74	exact	exact	ADJ
ejpam-5944	235	75	solution	solution	NOUN
ejpam-5944	235	76	of	of	ADP
ejpam-5944	235	77	problem	problem	NOUN
ejpam-5944	235	78	1	1	NUM
ejpam-5944	235	79	using	use	VERB
ejpam-5944	235	80	frk4	frk4	NOUN
ejpam-5944	235	81	method	method	NOUN
ejpam-5944	235	82	with	with	ADP
ejpam-5944	235	83	m	m	PROPN
ejpam-5944	235	84	=	=	SYM
ejpam-5944	235	85	1	1	NUM
ejpam-5944	235	86	,	,	PUNCT
ejpam-5944	235	87	u0	u0	ADJ
ejpam-5944	235	88	=	=	ADJ
ejpam-5944	235	89	20	20	NUM
ejpam-5944	235	90	,	,	PUNCT
ejpam-5944	235	91	γ	γ	X
ejpam-5944	235	92	=	=	SYM
ejpam-5944	235	93	0.5	0.5	NUM
ejpam-5944	235	94	,	,	PUNCT
ejpam-5944	235	95	h	h	NOUN
ejpam-5944	235	96	=	=	NOUN
ejpam-5944	235	97	0.005	0.005	NUM
ejpam-5944	235	98	,	,	PUNCT
ejpam-5944	235	99	β	β	X
ejpam-5944	235	100	=	=	SYM
ejpam-5944	235	101	1	1	X
ejpam-5944	235	102	.	.	PUNCT
ejpam-5944	235	103	(	(	PUNCT
ejpam-5944	235	104	b	b	X
ejpam-5944	235	105	)	)	PUNCT
ejpam-5944	235	106	the	the	DET
ejpam-5944	235	107	approximate	approximate	ADJ
ejpam-5944	235	108	and	and	CCONJ
ejpam-5944	235	109	exact	exact	ADJ
ejpam-5944	235	110	solution	solution	NOUN
ejpam-5944	235	111	of	of	ADP
ejpam-5944	235	112	problem	problem	NOUN
ejpam-5944	235	113	1	1	NUM
ejpam-5944	235	114	using	use	VERB
ejpam-5944	235	115	frk4	frk4	NOUN
ejpam-5944	235	116	method	method	NOUN
ejpam-5944	235	117	with	with	ADP
ejpam-5944	235	118	m	m	PROPN
ejpam-5944	235	119	=	=	SYM
ejpam-5944	235	120	1	1	NUM
ejpam-5944	235	121	,	,	PUNCT
ejpam-5944	235	122	u0	u0	ADJ
ejpam-5944	235	123	=	=	ADJ
ejpam-5944	235	124	20	20	NUM
ejpam-5944	235	125	,	,	PUNCT
ejpam-5944	235	126	γ	γ	X
ejpam-5944	235	127	=	=	SYM
ejpam-5944	235	128	0.5	0.5	NUM
ejpam-5944	235	129	,	,	PUNCT
ejpam-5944	235	130	h	h	NOUN
ejpam-5944	235	131	=	=	NOUN
ejpam-5944	235	132	0.005	0.005	NUM
ejpam-5944	235	133	,	,	PUNCT
ejpam-5944	235	134	β	β	X
ejpam-5944	235	135	=	=	SYM
ejpam-5944	235	136	0.96	0.96	NUM
ejpam-5944	235	137	.	.	PUNCT
ejpam-5944	236	1	the	the	DET
ejpam-5944	236	2	lower	low	ADJ
ejpam-5944	236	3	carrying	carrying	NOUN
ejpam-5944	236	4	capacity	capacity	NOUN
ejpam-5944	236	5	m	m	NOUN
ejpam-5944	236	6	=	=	SYM
ejpam-5944	236	7	1	1	NUM
ejpam-5944	236	8	results	result	NOUN
ejpam-5944	236	9	in	in	ADP
ejpam-5944	236	10	a	a	DET
ejpam-5944	236	11	faster	fast	ADJ
ejpam-5944	236	12	decline	decline	NOUN
ejpam-5944	236	13	from	from	ADP
ejpam-5944	236	14	the	the	DET
ejpam-5944	236	15	initial	initial	ADJ
ejpam-5944	236	16	condition	condition	NOUN
ejpam-5944	236	17	u0	u0	NOUN
ejpam-5944	236	18	=	=	ADJ
ejpam-5944	236	19	20	20	NUM
ejpam-5944	236	20	.	.	PUNCT
ejpam-5944	237	1	kamran	kamran	PROPN
ejpam-5944	237	2	et	et	PROPN
ejpam-5944	237	3	al	al	PROPN
ejpam-5944	237	4	.	.	PUNCT
ejpam-5944	237	5	/	/	SYM
ejpam-5944	237	6	eur	eur	PROPN
ejpam-5944	237	7	.	.	PUNCT
ejpam-5944	238	1	j.	j.	PROPN
ejpam-5944	238	2	pure	pure	PROPN
ejpam-5944	238	3	appl	appl	PROPN
ejpam-5944	238	4	.	.	PROPN
ejpam-5944	238	5	math	math	PROPN
ejpam-5944	238	6	,	,	PUNCT
ejpam-5944	238	7	18	18	NUM
ejpam-5944	238	8	(	(	PUNCT
ejpam-5944	238	9	2	2	NUM
ejpam-5944	238	10	)	)	PUNCT
ejpam-5944	238	11	(	(	PUNCT
ejpam-5944	238	12	2025	2025	NUM
ejpam-5944	238	13	)	)	PUNCT
ejpam-5944	238	14	,	,	PUNCT
ejpam-5944	238	15	5944	5944	NUM
ejpam-5944	238	16	15	15	NUM
ejpam-5944	238	17	of	of	ADP
ejpam-5944	238	18	32	32	NUM
ejpam-5944	238	19	0	0	NUM
ejpam-5944	238	20	0.1	0.1	NUM
ejpam-5944	238	21	0.2	0.2	NUM
ejpam-5944	238	22	0.3	0.3	NUM
ejpam-5944	238	23	0.4	0.4	NUM
ejpam-5944	238	24	0.5	0.5	NUM
ejpam-5944	238	25	0.6	0.6	NUM
ejpam-5944	238	26	0.7	0.7	NUM
ejpam-5944	238	27	0.8	0.8	NUM
ejpam-5944	238	28	0.9	0.9	NUM
ejpam-5944	238	29	1	1	NUM
ejpam-5944	238	30	t	t	NOUN
ejpam-5944	238	31	2	2	NUM
ejpam-5944	238	32	3	3	NUM
ejpam-5944	238	33	4	4	NUM
ejpam-5944	238	34	5	5	NUM
ejpam-5944	238	35	6	6	NUM
ejpam-5944	238	36	7	7	NUM
ejpam-5944	238	37	8	8	NUM
ejpam-5944	238	38	9	9	NUM
ejpam-5944	238	39	10	10	NUM
ejpam-5944	238	40	u	u	NOUN
ejpam-5944	238	41	(	(	PUNCT
ejpam-5944	238	42	t	t	NOUN
ejpam-5944	238	43	)	)	PUNCT
ejpam-5944	238	44	frk4	frk4	PROPN
ejpam-5944	238	45	exact	exact	NOUN
ejpam-5944	238	46	(	(	PUNCT
ejpam-5944	238	47	a	a	X
ejpam-5944	238	48	)	)	PUNCT
ejpam-5944	238	49	0	0	NUM
ejpam-5944	239	1	0.1	0.1	NUM
ejpam-5944	239	2	0.2	0.2	NUM
ejpam-5944	239	3	0.3	0.3	NUM
ejpam-5944	239	4	0.4	0.4	NUM
ejpam-5944	239	5	0.5	0.5	NUM
ejpam-5944	239	6	0.6	0.6	NUM
ejpam-5944	239	7	0.7	0.7	NUM
ejpam-5944	239	8	0.8	0.8	NUM
ejpam-5944	239	9	0.9	0.9	NUM
ejpam-5944	239	10	1	1	NUM
ejpam-5944	239	11	t	t	NOUN
ejpam-5944	239	12	1	1	NUM
ejpam-5944	239	13	2	2	NUM
ejpam-5944	239	14	3	3	NUM
ejpam-5944	239	15	4	4	NUM
ejpam-5944	239	16	5	5	NUM
ejpam-5944	239	17	6	6	NUM
ejpam-5944	239	18	7	7	NUM
ejpam-5944	239	19	8	8	NUM
ejpam-5944	239	20	9	9	NUM
ejpam-5944	239	21	10	10	NUM
ejpam-5944	239	22	u	u	NOUN
ejpam-5944	239	23	(	(	PUNCT
ejpam-5944	239	24	t	t	NOUN
ejpam-5944	239	25	)	)	PUNCT
ejpam-5944	239	26	frk4	frk4	PROPN
ejpam-5944	239	27	exact	exact	ADJ
ejpam-5944	239	28	(	(	PUNCT
ejpam-5944	239	29	b	b	NOUN
ejpam-5944	239	30	)	)	PUNCT
ejpam-5944	239	31	figure	figure	NOUN
ejpam-5944	239	32	4	4	NUM
ejpam-5944	239	33	:	:	PUNCT
ejpam-5944	239	34	(	(	PUNCT
ejpam-5944	239	35	a	a	X
ejpam-5944	239	36	)	)	PUNCT
ejpam-5944	239	37	the	the	DET
ejpam-5944	239	38	approximate	approximate	ADJ
ejpam-5944	239	39	and	and	CCONJ
ejpam-5944	239	40	exact	exact	ADJ
ejpam-5944	239	41	solution	solution	NOUN
ejpam-5944	239	42	of	of	ADP
ejpam-5944	239	43	problem	problem	NOUN
ejpam-5944	239	44	1	1	NUM
ejpam-5944	239	45	using	use	VERB
ejpam-5944	239	46	frk4	frk4	NOUN
ejpam-5944	239	47	method	method	NOUN
ejpam-5944	239	48	with	with	ADP
ejpam-5944	239	49	m	m	PROPN
ejpam-5944	239	50	=	=	SYM
ejpam-5944	239	51	1	1	NUM
ejpam-5944	239	52	,	,	PUNCT
ejpam-5944	239	53	u0	u0	ADJ
ejpam-5944	239	54	=	=	NOUN
ejpam-5944	239	55	10	10	NUM
ejpam-5944	239	56	,	,	PUNCT
ejpam-5944	239	57	γ	γ	X
ejpam-5944	239	58	=	=	SYM
ejpam-5944	239	59	0.5	0.5	NUM
ejpam-5944	239	60	,	,	PUNCT
ejpam-5944	239	61	h	h	NOUN
ejpam-5944	239	62	=	=	NOUN
ejpam-5944	239	63	0.005	0.005	NUM
ejpam-5944	239	64	,	,	PUNCT
ejpam-5944	239	65	β	β	X
ejpam-5944	239	66	=	=	SYM
ejpam-5944	239	67	1	1	X
ejpam-5944	239	68	.	.	PUNCT
ejpam-5944	240	1	(	(	PUNCT
ejpam-5944	240	2	b	b	X
ejpam-5944	240	3	)	)	PUNCT
ejpam-5944	240	4	the	the	DET
ejpam-5944	240	5	approximate	approximate	ADJ
ejpam-5944	240	6	and	and	CCONJ
ejpam-5944	240	7	exact	exact	ADJ
ejpam-5944	240	8	solutions	solution	NOUN
ejpam-5944	240	9	of	of	ADP
ejpam-5944	240	10	problem	problem	NOUN
ejpam-5944	240	11	1	1	NUM
ejpam-5944	240	12	using	use	VERB
ejpam-5944	240	13	frk4	frk4	NOUN
ejpam-5944	240	14	method	method	NOUN
ejpam-5944	240	15	with	with	ADP
ejpam-5944	240	16	m	m	PROPN
ejpam-5944	240	17	=	=	SYM
ejpam-5944	240	18	1	1	NUM
ejpam-5944	240	19	,	,	PUNCT
ejpam-5944	240	20	u0	u0	ADJ
ejpam-5944	240	21	=	=	NOUN
ejpam-5944	240	22	10	10	NUM
ejpam-5944	240	23	,	,	PUNCT
ejpam-5944	240	24	γ	γ	X
ejpam-5944	240	25	=	=	SYM
ejpam-5944	240	26	0.5	0.5	NUM
ejpam-5944	240	27	,	,	PUNCT
ejpam-5944	240	28	h	h	NOUN
ejpam-5944	240	29	=	=	NOUN
ejpam-5944	240	30	0.005	0.005	NUM
ejpam-5944	240	31	,	,	PUNCT
ejpam-5944	240	32	β	β	X
ejpam-5944	240	33	=	=	SYM
ejpam-5944	240	34	0.96	0.96	NUM
ejpam-5944	240	35	.	.	PUNCT
ejpam-5944	241	1	the	the	DET
ejpam-5944	241	2	initial	initial	ADJ
ejpam-5944	241	3	condition	condition	NOUN
ejpam-5944	241	4	u0	u0	NOUN
ejpam-5944	241	5	=	=	NOUN
ejpam-5944	241	6	10	10	NUM
ejpam-5944	241	7	is	be	AUX
ejpam-5944	241	8	closer	close	ADJ
ejpam-5944	241	9	to	to	ADP
ejpam-5944	241	10	the	the	DET
ejpam-5944	241	11	carrying	carrying	NOUN
ejpam-5944	241	12	capacity	capacity	NOUN
ejpam-5944	241	13	.	.	PUNCT
ejpam-5944	242	1	the	the	DET
ejpam-5944	242	2	figures	figure	NOUN
ejpam-5944	242	3	show	show	VERB
ejpam-5944	242	4	that	that	SCONJ
ejpam-5944	242	5	the	the	DET
ejpam-5944	242	6	approximate	approximate	ADJ
ejpam-5944	242	7	solutions	solution	NOUN
ejpam-5944	242	8	track	track	VERB
ejpam-5944	242	9	the	the	DET
ejpam-5944	242	10	exact	exact	ADJ
ejpam-5944	242	11	solutions	solution	NOUN
ejpam-5944	242	12	well	well	ADV
ejpam-5944	242	13	,	,	PUNCT
ejpam-5944	242	14	but	but	CCONJ
ejpam-5944	242	15	the	the	DET
ejpam-5944	242	16	slower	slow	ADJ
ejpam-5944	242	17	dynamics	dynamic	NOUN
ejpam-5944	242	18	for	for	ADP
ejpam-5944	242	19	beta	beta	NOUN
ejpam-5944	242	20	=	=	SYM
ejpam-5944	242	21	0.96	0.96	NUM
ejpam-5944	242	22	suggest	suggest	VERB
ejpam-5944	242	23	that	that	SCONJ
ejpam-5944	242	24	memory	memory	NOUN
ejpam-5944	242	25	effects	effect	NOUN
ejpam-5944	242	26	are	be	AUX
ejpam-5944	242	27	significant	significant	ADJ
ejpam-5944	242	28	even	even	ADV
ejpam-5944	242	29	with	with	ADP
ejpam-5944	242	30	a	a	DET
ejpam-5944	242	31	lower	low	ADJ
ejpam-5944	242	32	initial	initial	ADJ
ejpam-5944	242	33	population	population	NOUN
ejpam-5944	242	34	,	,	PUNCT
ejpam-5944	242	35	impacting	impact	VERB
ejpam-5944	242	36	predictions	prediction	NOUN
ejpam-5944	242	37	of	of	ADP
ejpam-5944	242	38	population	population	NOUN
ejpam-5944	242	39	stabilization	stabilization	NOUN
ejpam-5944	242	40	.	.	PUNCT
ejpam-5944	243	1	0	0	NUM
ejpam-5944	243	2	0.1	0.1	NUM
ejpam-5944	243	3	0.2	0.2	NUM
ejpam-5944	243	4	0.3	0.3	NUM
ejpam-5944	243	5	0.4	0.4	NUM
ejpam-5944	243	6	0.5	0.5	NUM
ejpam-5944	243	7	0.6	0.6	NUM
ejpam-5944	243	8	0.7	0.7	NUM
ejpam-5944	243	9	0.8	0.8	NUM
ejpam-5944	243	10	0.9	0.9	NUM
ejpam-5944	243	11	1	1	NUM
ejpam-5944	243	12	t	t	NOUN
ejpam-5944	243	13	0	0	NUM
ejpam-5944	243	14	1	1	NUM
ejpam-5944	243	15	2	2	NUM
ejpam-5944	243	16	3	3	NUM
ejpam-5944	243	17	4	4	NUM
ejpam-5944	243	18	5	5	NUM
ejpam-5944	243	19	6	6	NUM
ejpam-5944	243	20	7	7	NUM
ejpam-5944	243	21	e	e	NOUN
ejpam-5944	243	22	r	r	NOUN
ejpam-5944	243	23	r	r	NOUN
ejpam-5944	243	24	o	o	NOUN
ejpam-5944	243	25	r	r	NOUN
ejpam-5944	243	26	a	a	DET
ejpam-5944	243	27	b	b	NOUN
ejpam-5944	243	28	s	s	PART
ejpam-5944	243	29	10	10	NUM
ejpam-5944	243	30	-14	-14	PUNCT
ejpam-5944	243	31	(	(	PUNCT
ejpam-5944	243	32	a	a	X
ejpam-5944	243	33	)	)	PUNCT
ejpam-5944	243	34	0	0	NUM
ejpam-5944	243	35	0.1	0.1	NUM
ejpam-5944	243	36	0.2	0.2	NUM
ejpam-5944	243	37	0.3	0.3	NUM
ejpam-5944	243	38	0.4	0.4	NUM
ejpam-5944	243	39	0.5	0.5	NUM
ejpam-5944	243	40	0.6	0.6	NUM
ejpam-5944	243	41	0.7	0.7	NUM
ejpam-5944	243	42	0.8	0.8	NUM
ejpam-5944	243	43	0.9	0.9	NUM
ejpam-5944	243	44	1	1	NUM
ejpam-5944	243	45	t	t	NOUN
ejpam-5944	243	46	0	0	NUM
ejpam-5944	243	47	0.5	0.5	NUM
ejpam-5944	243	48	1	1	NUM
ejpam-5944	243	49	1.5	1.5	NUM
ejpam-5944	243	50	2	2	NUM
ejpam-5944	243	51	2.5	2.5	NUM
ejpam-5944	243	52	e	e	NOUN
ejpam-5944	243	53	r	r	NOUN
ejpam-5944	243	54	r	r	NOUN
ejpam-5944	243	55	o	o	NOUN
ejpam-5944	243	56	r	r	NOUN
ejpam-5944	243	57	a	a	DET
ejpam-5944	243	58	b	b	NOUN
ejpam-5944	243	59	s	s	PART
ejpam-5944	243	60	10	10	NUM
ejpam-5944	243	61	-14	-14	PUNCT
ejpam-5944	243	62	(	(	PUNCT
ejpam-5944	243	63	b	b	NOUN
ejpam-5944	243	64	)	)	PUNCT
ejpam-5944	243	65	figure	figure	NOUN
ejpam-5944	243	66	5	5	NUM
ejpam-5944	243	67	:	:	PUNCT
ejpam-5944	243	68	(	(	PUNCT
ejpam-5944	243	69	a	a	X
ejpam-5944	243	70	)	)	PUNCT
ejpam-5944	243	71	the	the	DET
ejpam-5944	243	72	errorabs	errorab	NOUN
ejpam-5944	243	73	of	of	ADP
ejpam-5944	243	74	frk4	frk4	NOUN
ejpam-5944	243	75	for	for	ADP
ejpam-5944	243	76	problem	problem	NOUN
ejpam-5944	243	77	1	1	NUM
ejpam-5944	243	78	with	with	ADP
ejpam-5944	243	79	m	m	PROPN
ejpam-5944	243	80	=	=	SYM
ejpam-5944	243	81	1	1	NUM
ejpam-5944	243	82	,	,	PUNCT
ejpam-5944	243	83	u0	u0	ADJ
ejpam-5944	243	84	=	=	NOUN
ejpam-5944	243	85	10	10	NUM
ejpam-5944	243	86	,	,	PUNCT
ejpam-5944	243	87	γ	γ	X
ejpam-5944	243	88	=	=	SYM
ejpam-5944	243	89	0.5	0.5	NUM
ejpam-5944	243	90	,	,	PUNCT
ejpam-5944	243	91	h	h	NOUN
ejpam-5944	243	92	=	=	SYM
ejpam-5944	243	93	0.0001	0.0001	NUM
ejpam-5944	243	94	,	,	PUNCT
ejpam-5944	243	95	for	for	ADP
ejpam-5944	243	96	β	β	X
ejpam-5944	243	97	=	=	SYM
ejpam-5944	243	98	1	1	X
ejpam-5944	243	99	.	.	PUNCT
ejpam-5944	244	1	(	(	PUNCT
ejpam-5944	244	2	b	b	X
ejpam-5944	244	3	)	)	PUNCT
ejpam-5944	244	4	the	the	DET
ejpam-5944	244	5	errorabs	errorab	NOUN
ejpam-5944	244	6	of	of	ADP
ejpam-5944	244	7	frk4	frk4	NOUN
ejpam-5944	244	8	for	for	ADP
ejpam-5944	244	9	problem	problem	NOUN
ejpam-5944	244	10	1	1	NUM
ejpam-5944	244	11	with	with	ADP
ejpam-5944	244	12	m	m	PROPN
ejpam-5944	244	13	=	=	SYM
ejpam-5944	244	14	10	10	NUM
ejpam-5944	244	15	,	,	PUNCT
ejpam-5944	244	16	u0	u0	ADJ
ejpam-5944	244	17	=	=	ADJ
ejpam-5944	244	18	20	20	NUM
ejpam-5944	244	19	,	,	PUNCT
ejpam-5944	244	20	γ	γ	X
ejpam-5944	244	21	=	=	SYM
ejpam-5944	244	22	0.5	0.5	NUM
ejpam-5944	244	23	,	,	PUNCT
ejpam-5944	244	24	h	h	NOUN
ejpam-5944	244	25	=	=	SYM
ejpam-5944	244	26	0.0001	0.0001	NUM
ejpam-5944	244	27	,	,	PUNCT
ejpam-5944	244	28	for	for	ADP
ejpam-5944	244	29	β	β	X
ejpam-5944	244	30	=	=	SYM
ejpam-5944	244	31	1	1	X
ejpam-5944	244	32	.	.	PUNCT
ejpam-5944	245	1	both	both	DET
ejpam-5944	245	2	figures	figure	NOUN
ejpam-5944	245	3	confirm	confirm	VERB
ejpam-5944	245	4	the	the	DET
ejpam-5944	245	5	frk4	frk4	NOUN
ejpam-5944	245	6	method	method	NOUN
ejpam-5944	245	7	’s	’s	PART
ejpam-5944	245	8	high	high	ADJ
ejpam-5944	245	9	accuracy	accuracy	NOUN
ejpam-5944	245	10	for	for	ADP
ejpam-5944	245	11	β	β	X
ejpam-5944	245	12	=	=	SYM
ejpam-5944	245	13	1	1	X
ejpam-5944	245	14	.	.	PUNCT
ejpam-5944	246	1	the	the	DET
ejpam-5944	246	2	smaller	small	ADJ
ejpam-5944	246	3	errors	error	NOUN
ejpam-5944	246	4	for	for	ADP
ejpam-5944	246	5	m	m	PROPN
ejpam-5944	246	6	=	=	NOUN
ejpam-5944	246	7	10	10	NUM
ejpam-5944	246	8	compared	compare	VERB
ejpam-5944	246	9	to	to	ADP
ejpam-5944	246	10	m	m	NOUN
ejpam-5944	246	11	=	=	SYM
ejpam-5944	246	12	1	1	NUM
ejpam-5944	246	13	suggest	suggest	VERB
ejpam-5944	246	14	that	that	SCONJ
ejpam-5944	246	15	the	the	DET
ejpam-5944	246	16	method	method	NOUN
ejpam-5944	246	17	performs	perform	VERB
ejpam-5944	246	18	better	well	ADV
ejpam-5944	246	19	for	for	ADP
ejpam-5944	246	20	higher	high	ADJ
ejpam-5944	246	21	carrying	carrying	NOUN
ejpam-5944	246	22	capacities	capacity	NOUN
ejpam-5944	246	23	,	,	PUNCT
ejpam-5944	246	24	possibly	possibly	ADV
ejpam-5944	246	25	due	due	ADP
ejpam-5944	246	26	to	to	ADP
ejpam-5944	246	27	less	less	ADV
ejpam-5944	246	28	rapid	rapid	ADJ
ejpam-5944	246	29	changes	change	NOUN
ejpam-5944	246	30	in	in	ADP
ejpam-5944	246	31	the	the	DET
ejpam-5944	246	32	solution	solution	NOUN
ejpam-5944	246	33	.	.	PUNCT
ejpam-5944	247	1	kamran	kamran	PROPN
ejpam-5944	247	2	et	et	PROPN
ejpam-5944	247	3	al	al	PROPN
ejpam-5944	247	4	.	.	PUNCT
ejpam-5944	247	5	/	/	SYM
ejpam-5944	247	6	eur	eur	PROPN
ejpam-5944	247	7	.	.	PUNCT
ejpam-5944	248	1	j.	j.	PROPN
ejpam-5944	248	2	pure	pure	PROPN
ejpam-5944	248	3	appl	appl	PROPN
ejpam-5944	248	4	.	.	PROPN
ejpam-5944	248	5	math	math	PROPN
ejpam-5944	248	6	,	,	PUNCT
ejpam-5944	248	7	18	18	NUM
ejpam-5944	248	8	(	(	PUNCT
ejpam-5944	248	9	2	2	NUM
ejpam-5944	248	10	)	)	PUNCT
ejpam-5944	248	11	(	(	PUNCT
ejpam-5944	248	12	2025	2025	NUM
ejpam-5944	248	13	)	)	PUNCT
ejpam-5944	248	14	,	,	PUNCT
ejpam-5944	248	15	5944	5944	NUM
ejpam-5944	248	16	16	16	NUM
ejpam-5944	248	17	of	of	ADP
ejpam-5944	248	18	32	32	NUM
ejpam-5944	248	19	0	0	NUM
ejpam-5944	248	20	0.1	0.1	NUM
ejpam-5944	248	21	0.2	0.2	NUM
ejpam-5944	248	22	0.3	0.3	NUM
ejpam-5944	248	23	0.4	0.4	NUM
ejpam-5944	248	24	0.5	0.5	NUM
ejpam-5944	248	25	0.6	0.6	NUM
ejpam-5944	248	26	0.7	0.7	NUM
ejpam-5944	248	27	0.8	0.8	NUM
ejpam-5944	248	28	0.9	0.9	NUM
ejpam-5944	248	29	1	1	NUM
ejpam-5944	248	30	t	t	NOUN
ejpam-5944	248	31	0	0	NUM
ejpam-5944	248	32	0.2	0.2	NUM
ejpam-5944	248	33	0.4	0.4	NUM
ejpam-5944	248	34	0.6	0.6	NUM
ejpam-5944	249	1	0.8	0.8	NUM
ejpam-5944	249	2	1	1	NUM
ejpam-5944	249	3	1.2	1.2	NUM
ejpam-5944	249	4	1.4	1.4	NUM
ejpam-5944	249	5	1.6	1.6	NUM
ejpam-5944	249	6	1.8	1.8	NUM
ejpam-5944	249	7	e	e	NOUN
ejpam-5944	249	8	r	r	NOUN
ejpam-5944	249	9	r	r	NOUN
ejpam-5944	249	10	o	o	NOUN
ejpam-5944	249	11	r	r	NOUN
ejpam-5944	249	12	a	a	DET
ejpam-5944	249	13	b	b	NOUN
ejpam-5944	249	14	s	s	PART
ejpam-5944	249	15	10	10	NUM
ejpam-5944	249	16	-11	-11	PUNCT
ejpam-5944	249	17	(	(	PUNCT
ejpam-5944	249	18	a	a	X
ejpam-5944	249	19	)	)	PUNCT
ejpam-5944	249	20	0	0	NUM
ejpam-5944	249	21	0.1	0.1	NUM
ejpam-5944	249	22	0.2	0.2	NUM
ejpam-5944	249	23	0.3	0.3	NUM
ejpam-5944	249	24	0.4	0.4	NUM
ejpam-5944	249	25	0.5	0.5	NUM
ejpam-5944	249	26	0.6	0.6	NUM
ejpam-5944	249	27	0.7	0.7	NUM
ejpam-5944	249	28	0.8	0.8	NUM
ejpam-5944	249	29	0.9	0.9	NUM
ejpam-5944	249	30	1	1	NUM
ejpam-5944	249	31	t	t	NOUN
ejpam-5944	249	32	0	0	NUM
ejpam-5944	249	33	0.2	0.2	NUM
ejpam-5944	249	34	0.4	0.4	NUM
ejpam-5944	249	35	0.6	0.6	NUM
ejpam-5944	249	36	0.8	0.8	NUM
ejpam-5944	249	37	1	1	NUM
ejpam-5944	249	38	1.2	1.2	NUM
ejpam-5944	249	39	1.4	1.4	NUM
ejpam-5944	249	40	e	e	NOUN
ejpam-5944	249	41	r	r	NOUN
ejpam-5944	249	42	r	r	NOUN
ejpam-5944	249	43	o	o	NOUN
ejpam-5944	249	44	r	r	NOUN
ejpam-5944	249	45	a	a	PRON
ejpam-5944	249	46	b	b	NOUN
ejpam-5944	249	47	s	s	PART
ejpam-5944	249	48	10	10	NUM
ejpam-5944	249	49	-8	-8	NOUN
ejpam-5944	249	50	(	(	PUNCT
ejpam-5944	249	51	b	b	NOUN
ejpam-5944	249	52	)	)	PUNCT
ejpam-5944	249	53	figure	figure	NOUN
ejpam-5944	249	54	6	6	NUM
ejpam-5944	249	55	:	:	PUNCT
ejpam-5944	249	56	(	(	PUNCT
ejpam-5944	249	57	a	a	X
ejpam-5944	249	58	)	)	PUNCT
ejpam-5944	249	59	the	the	DET
ejpam-5944	249	60	errorabs	errorab	NOUN
ejpam-5944	249	61	of	of	ADP
ejpam-5944	249	62	frk4	frk4	NOUN
ejpam-5944	249	63	for	for	ADP
ejpam-5944	249	64	problem	problem	NOUN
ejpam-5944	249	65	1	1	NUM
ejpam-5944	249	66	with	with	ADP
ejpam-5944	249	67	m	m	PROPN
ejpam-5944	249	68	=	=	SYM
ejpam-5944	249	69	10	10	NUM
ejpam-5944	249	70	,	,	PUNCT
ejpam-5944	249	71	u0	u0	ADJ
ejpam-5944	249	72	=	=	ADJ
ejpam-5944	249	73	20	20	NUM
ejpam-5944	249	74	,	,	PUNCT
ejpam-5944	249	75	γ	γ	X
ejpam-5944	249	76	=	=	SYM
ejpam-5944	249	77	0.5	0.5	NUM
ejpam-5944	249	78	,	,	PUNCT
ejpam-5944	249	79	h	h	NOUN
ejpam-5944	249	80	=	=	NOUN
ejpam-5944	250	1	0.005	0.005	NUM
ejpam-5944	250	2	β	β	X
ejpam-5944	250	3	=	=	NOUN
ejpam-5944	250	4	1	1	X
ejpam-5944	250	5	.	.	PUNCT
ejpam-5944	250	6	(	(	PUNCT
ejpam-5944	250	7	b	b	X
ejpam-5944	250	8	)	)	PUNCT
ejpam-5944	250	9	the	the	DET
ejpam-5944	250	10	errorabs	errorab	NOUN
ejpam-5944	250	11	of	of	ADP
ejpam-5944	250	12	frk4	frk4	NOUN
ejpam-5944	250	13	for	for	ADP
ejpam-5944	250	14	problem	problem	NOUN
ejpam-5944	250	15	1	1	NUM
ejpam-5944	250	16	with	with	ADP
ejpam-5944	250	17	m	m	PROPN
ejpam-5944	250	18	=	=	SYM
ejpam-5944	250	19	1	1	NUM
ejpam-5944	250	20	,	,	PUNCT
ejpam-5944	250	21	u0	u0	ADJ
ejpam-5944	250	22	=	=	NOUN
ejpam-5944	250	23	10	10	NUM
ejpam-5944	250	24	,	,	PUNCT
ejpam-5944	250	25	γ	γ	X
ejpam-5944	250	26	=	=	SYM
ejpam-5944	250	27	0.5	0.5	NUM
ejpam-5944	250	28	,	,	PUNCT
ejpam-5944	250	29	h	h	NOUN
ejpam-5944	250	30	=	=	NOUN
ejpam-5944	250	31	0.005	0.005	NUM
ejpam-5944	250	32	β	β	X
ejpam-5944	250	33	=	=	SYM
ejpam-5944	250	34	1.here	1.here	NUM
ejpam-5944	251	1	we	we	PRON
ejpam-5944	251	2	see	see	VERB
ejpam-5944	251	3	that	that	SCONJ
ejpam-5944	251	4	the	the	DET
ejpam-5944	251	5	errors	error	NOUN
ejpam-5944	251	6	are	be	AUX
ejpam-5944	251	7	comparatively	comparatively	ADV
ejpam-5944	251	8	larger	large	ADJ
ejpam-5944	251	9	for	for	ADP
ejpam-5944	251	10	a	a	DET
ejpam-5944	251	11	large	large	ADJ
ejpam-5944	251	12	step	step	NOUN
ejpam-5944	251	13	.	.	PUNCT
ejpam-5944	252	1	4.0.2	4.0.2	X
ejpam-5944	252	2	.	.	X
ejpam-5944	252	3	problem	problem	NOUN
ejpam-5944	252	4	2	2	NUM
ejpam-5944	252	5	here	here	ADV
ejpam-5944	252	6	we	we	PRON
ejpam-5944	252	7	consider	consider	VERB
ejpam-5944	252	8	exponential	exponential	ADJ
ejpam-5944	252	9	growth	growth	NOUN
ejpam-5944	252	10	of	of	ADP
ejpam-5944	252	11	malthus	malthus	PROPN
ejpam-5944	252	12	model	model	NOUN
ejpam-5944	252	13	of	of	ADP
ejpam-5944	252	14	the	the	DET
ejpam-5944	252	15	form	form	NOUN
ejpam-5944	253	1	[	[	X
ejpam-5944	253	2	5	5	NUM
ejpam-5944	253	3	]	]	SYM
ejpam-5944	253	4	c	c	NOUN
ejpam-5944	253	5	0dβ	0dβ	PROPN
ejpam-5944	253	6	t	t	PROPN
ejpam-5944	253	7	u(t	u(t	PROPN
ejpam-5944	253	8	)	)	PUNCT
ejpam-5944	253	9	=	=	PUNCT
ejpam-5944	254	1	ku(t	ku(t	X
ejpam-5944	254	2	)	)	PUNCT
ejpam-5944	254	3	,	,	PUNCT
ejpam-5944	254	4	(	(	PUNCT
ejpam-5944	254	5	4.2	4.2	NUM
ejpam-5944	254	6	)	)	PUNCT
ejpam-5944	254	7	with	with	ADP
ejpam-5944	254	8	the	the	DET
ejpam-5944	254	9	initial	initial	ADJ
ejpam-5944	254	10	condition	condition	NOUN
ejpam-5944	254	11	u0	u0	NOUN
ejpam-5944	254	12	=	=	NOUN
ejpam-5944	254	13	1	1	NUM
ejpam-5944	254	14	.	.	PUNCT
ejpam-5944	255	1	the	the	DET
ejpam-5944	255	2	exact	exact	ADJ
ejpam-5944	255	3	solution	solution	NOUN
ejpam-5944	255	4	of	of	ADP
ejpam-5944	255	5	the	the	DET
ejpam-5944	255	6	problem	problem	NOUN
ejpam-5944	255	7	is	be	AUX
ejpam-5944	255	8	u(t	u(t	NOUN
ejpam-5944	255	9	)	)	PUNCT
ejpam-5944	255	10	=	=	SYM
ejpam-5944	255	11	u0eβ(ktβ	u0eβ(ktβ	NOUN
ejpam-5944	255	12	)	)	PUNCT
ejpam-5944	255	13	.	.	PUNCT
ejpam-5944	256	1	the	the	DET
ejpam-5944	256	2	results	result	NOUN
ejpam-5944	256	3	obtained	obtain	VERB
ejpam-5944	256	4	using	use	VERB
ejpam-5944	256	5	the	the	DET
ejpam-5944	256	6	frk4	frk4	NOUN
ejpam-5944	256	7	method	method	NOUN
ejpam-5944	256	8	for	for	ADP
ejpam-5944	256	9	the	the	DET
ejpam-5944	256	10	fractional	fractional	ADJ
ejpam-5944	256	11	orders	order	NOUN
ejpam-5944	256	12	β	β	NOUN
ejpam-5944	256	13	=	=	SYM
ejpam-5944	256	14	1	1	NUM
ejpam-5944	256	15	and	and	CCONJ
ejpam-5944	256	16	β	β	X
ejpam-5944	256	17	=	=	NOUN
ejpam-5944	256	18	0.96	0.96	NUM
ejpam-5944	256	19	,	,	PUNCT
ejpam-5944	256	20	with	with	ADP
ejpam-5944	256	21	parameters	parameter	NOUN
ejpam-5944	256	22	u0	u0	ADJ
ejpam-5944	256	23	=	=	ADJ
ejpam-5944	256	24	1	1	NUM
ejpam-5944	256	25	,	,	PUNCT
ejpam-5944	256	26	h	h	NOUN
ejpam-5944	256	27	=	=	NOUN
ejpam-5944	256	28	0.01	0.01	NUM
ejpam-5944	256	29	,	,	PUNCT
ejpam-5944	256	30	and	and	CCONJ
ejpam-5944	256	31	k	k	PROPN
ejpam-5944	256	32	=	=	SYM
ejpam-5944	256	33	1	1	NUM
ejpam-5944	256	34	,	,	PUNCT
ejpam-5944	256	35	are	be	AUX
ejpam-5944	256	36	presented	present	VERB
ejpam-5944	256	37	in	in	ADP
ejpam-5944	256	38	table	table	NOUN
ejpam-5944	256	39	5	5	NUM
ejpam-5944	256	40	.	.	PUNCT
ejpam-5944	256	41	figures	figure	NOUN
ejpam-5944	256	42	7a	7a	NUM
ejpam-5944	256	43	and	and	CCONJ
ejpam-5944	256	44	7b	7b	NOUN
ejpam-5944	256	45	illustrate	illustrate	VERB
ejpam-5944	256	46	the	the	DET
ejpam-5944	256	47	numerical	numerical	ADJ
ejpam-5944	256	48	and	and	CCONJ
ejpam-5944	256	49	exact	exact	ADJ
ejpam-5944	256	50	solutions	solution	NOUN
ejpam-5944	256	51	for	for	ADP
ejpam-5944	256	52	β	β	X
ejpam-5944	256	53	=	=	SYM
ejpam-5944	256	54	1	1	NUM
ejpam-5944	256	55	and	and	CCONJ
ejpam-5944	256	56	β	β	X
ejpam-5944	256	57	=	=	SYM
ejpam-5944	256	58	0.96	0.96	NUM
ejpam-5944	256	59	,	,	PUNCT
ejpam-5944	256	60	respectively	respectively	ADV
ejpam-5944	256	61	,	,	PUNCT
ejpam-5944	256	62	under	under	ADP
ejpam-5944	256	63	the	the	DET
ejpam-5944	256	64	same	same	ADJ
ejpam-5944	256	65	parameter	parameter	NOUN
ejpam-5944	256	66	settings	setting	NOUN
ejpam-5944	256	67	.	.	PUNCT
ejpam-5944	257	1	figure	figure	VERB
ejpam-5944	257	2	8a	8a	PROPN
ejpam-5944	257	3	shows	show	VERB
ejpam-5944	257	4	the	the	DET
ejpam-5944	257	5	approximate	approximate	ADJ
ejpam-5944	257	6	solutions	solution	NOUN
ejpam-5944	257	7	for	for	ADP
ejpam-5944	257	8	different	different	ADJ
ejpam-5944	257	9	values	value	NOUN
ejpam-5944	257	10	of	of	ADP
ejpam-5944	257	11	β	β	PROPN
ejpam-5944	257	12	with	with	ADP
ejpam-5944	257	13	u0	u0	ADJ
ejpam-5944	257	14	=	=	ADJ
ejpam-5944	257	15	1	1	NUM
ejpam-5944	257	16	,	,	PUNCT
ejpam-5944	257	17	k	k	NOUN
ejpam-5944	257	18	=	=	SYM
ejpam-5944	257	19	1	1	NUM
ejpam-5944	257	20	,	,	PUNCT
ejpam-5944	257	21	and	and	CCONJ
ejpam-5944	257	22	step	step	NOUN
ejpam-5944	257	23	size	size	NOUN
ejpam-5944	257	24	h	h	NOUN
ejpam-5944	257	25	=	=	NOUN
ejpam-5944	257	26	0.1	0.1	NUM
ejpam-5944	257	27	.	.	PUNCT
ejpam-5944	258	1	similarly	similarly	ADV
ejpam-5944	258	2	,	,	PUNCT
ejpam-5944	258	3	figure	figure	VERB
ejpam-5944	258	4	8b	8b	PROPN
ejpam-5944	258	5	presents	present	VERB
ejpam-5944	258	6	the	the	DET
ejpam-5944	258	7	approximate	approximate	ADJ
ejpam-5944	258	8	solutions	solution	NOUN
ejpam-5944	258	9	for	for	ADP
ejpam-5944	258	10	various	various	ADJ
ejpam-5944	258	11	β	β	X
ejpam-5944	258	12	values	value	NOUN
ejpam-5944	258	13	with	with	ADP
ejpam-5944	258	14	a	a	DET
ejpam-5944	258	15	finer	fine	ADJ
ejpam-5944	258	16	step	step	NOUN
ejpam-5944	258	17	size	size	NOUN
ejpam-5944	258	18	h	h	NOUN
ejpam-5944	258	19	=	=	NOUN
ejpam-5944	258	20	0.01	0.01	NUM
ejpam-5944	258	21	.	.	PUNCT
ejpam-5944	259	1	the	the	DET
ejpam-5944	259	2	absolute	absolute	ADJ
ejpam-5944	259	3	error	error	NOUN
ejpam-5944	259	4	errorabs	errorab	NOUN
ejpam-5944	259	5	for	for	ADP
ejpam-5944	259	6	problem	problem	NOUN
ejpam-5944	259	7	2	2	NUM
ejpam-5944	259	8	with	with	ADP
ejpam-5944	259	9	β	β	X
ejpam-5944	259	10	=	=	SYM
ejpam-5944	259	11	1	1	NUM
ejpam-5944	259	12	is	be	AUX
ejpam-5944	259	13	plotted	plot	VERB
ejpam-5944	259	14	in	in	ADP
ejpam-5944	259	15	figure	figure	NOUN
ejpam-5944	259	16	9a	9a	NOUN
ejpam-5944	259	17	for	for	ADP
ejpam-5944	259	18	h	h	NOUN
ejpam-5944	259	19	=	=	SYM
ejpam-5944	259	20	0.0001	0.0001	NUM
ejpam-5944	259	21	,	,	PUNCT
ejpam-5944	259	22	and	and	CCONJ
ejpam-5944	259	23	in	in	ADP
ejpam-5944	259	24	figure	figure	NOUN
ejpam-5944	259	25	9b	9b	NOUN
ejpam-5944	259	26	for	for	ADP
ejpam-5944	259	27	h	h	NOUN
ejpam-5944	259	28	=	=	NOUN
ejpam-5944	259	29	0.0005	0.0005	NUM
ejpam-5944	259	30	.	.	PUNCT
ejpam-5944	260	1	overall	overall	ADV
ejpam-5944	260	2	,	,	PUNCT
ejpam-5944	260	3	the	the	DET
ejpam-5944	260	4	numerical	numerical	ADJ
ejpam-5944	260	5	results	result	NOUN
ejpam-5944	260	6	show	show	VERB
ejpam-5944	260	7	good	good	ADJ
ejpam-5944	260	8	agreement	agreement	NOUN
ejpam-5944	260	9	with	with	ADP
ejpam-5944	260	10	those	those	PRON
ejpam-5944	260	11	obtained	obtain	VERB
ejpam-5944	260	12	using	use	VERB
ejpam-5944	260	13	the	the	DET
ejpam-5944	260	14	method	method	NOUN
ejpam-5944	260	15	proposed	propose	VERB
ejpam-5944	260	16	in	in	ADP
ejpam-5944	260	17	[	[	X
ejpam-5944	260	18	5	5	NUM
ejpam-5944	260	19	]	]	PUNCT
ejpam-5944	260	20	,	,	PUNCT
ejpam-5944	260	21	thereby	thereby	ADV
ejpam-5944	260	22	validating	validate	VERB
ejpam-5944	260	23	the	the	DET
ejpam-5944	260	24	accuracy	accuracy	NOUN
ejpam-5944	260	25	and	and	CCONJ
ejpam-5944	260	26	reliability	reliability	NOUN
ejpam-5944	260	27	of	of	ADP
ejpam-5944	260	28	the	the	DET
ejpam-5944	260	29	frk4	frk4	NOUN
ejpam-5944	260	30	method	method	NOUN
ejpam-5944	260	31	for	for	ADP
ejpam-5944	260	32	solving	solve	VERB
ejpam-5944	260	33	fractional	fractional	ADJ
ejpam-5944	260	34	differential	differential	ADJ
ejpam-5944	260	35	equations	equation	NOUN
ejpam-5944	260	36	.	.	PUNCT
ejpam-5944	261	1	kamran	kamran	PROPN
ejpam-5944	261	2	et	et	PROPN
ejpam-5944	261	3	al	al	PROPN
ejpam-5944	261	4	.	.	PUNCT
ejpam-5944	261	5	/	/	SYM
ejpam-5944	261	6	eur	eur	PROPN
ejpam-5944	261	7	.	.	PUNCT
ejpam-5944	262	1	j.	j.	PROPN
ejpam-5944	262	2	pure	pure	PROPN
ejpam-5944	262	3	appl	appl	PROPN
ejpam-5944	262	4	.	.	PROPN
ejpam-5944	262	5	math	math	PROPN
ejpam-5944	262	6	,	,	PUNCT
ejpam-5944	262	7	18	18	NUM
ejpam-5944	262	8	(	(	PUNCT
ejpam-5944	262	9	2	2	NUM
ejpam-5944	262	10	)	)	PUNCT
ejpam-5944	262	11	(	(	PUNCT
ejpam-5944	262	12	2025	2025	NUM
ejpam-5944	262	13	)	)	PUNCT
ejpam-5944	262	14	,	,	PUNCT
ejpam-5944	262	15	5944	5944	NUM
ejpam-5944	262	16	17	17	NUM
ejpam-5944	262	17	of	of	ADP
ejpam-5944	262	18	32	32	NUM
ejpam-5944	262	19	table	table	NOUN
ejpam-5944	262	20	5	5	NUM
ejpam-5944	262	21	:	:	PUNCT
ejpam-5944	262	22	the	the	DET
ejpam-5944	262	23	numerical	numerical	ADJ
ejpam-5944	262	24	results	result	NOUN
ejpam-5944	262	25	for	for	ADP
ejpam-5944	262	26	problem	problem	NOUN
ejpam-5944	262	27	2	2	NUM
ejpam-5944	262	28	using	use	VERB
ejpam-5944	262	29	frk4	frk4	NOUN
ejpam-5944	262	30	method	method	NOUN
ejpam-5944	262	31	with	with	ADP
ejpam-5944	262	32	u0	u0	ADJ
ejpam-5944	262	33	=	=	ADJ
ejpam-5944	262	34	1	1	NUM
ejpam-5944	262	35	,	,	PUNCT
ejpam-5944	262	36	h	h	NOUN
ejpam-5944	262	37	=	=	NOUN
ejpam-5944	262	38	0.01	0.01	NUM
ejpam-5944	262	39	,	,	PUNCT
ejpam-5944	262	40	k	k	X
ejpam-5944	262	41	=	=	SYM
ejpam-5944	262	42	1	1	NUM
ejpam-5944	262	43	.	.	X
ejpam-5944	263	1	1	1	NUM
ejpam-5944	263	2	*	*	NOUN
ejpam-5944	263	3	β	β	X
ejpam-5944	263	4	=	=	PUNCT
ejpam-5944	264	1	0.96	0.96	NUM
ejpam-5944	264	2	β	β	X
ejpam-5944	264	3	=	=	SYM
ejpam-5944	264	4	1	1	NUM
ejpam-5944	264	5	t	t	NOUN
ejpam-5944	264	6	uapprox	uapprox	ADJ
ejpam-5944	264	7	uexact	uexact	ADJ
ejpam-5944	264	8	errorabs	errorab	NOUN
ejpam-5944	264	9	uapprox	uapprox	ADJ
ejpam-5944	264	10	uexact	uexact	ADJ
ejpam-5944	264	11	errorabs	errorab	NOUN
ejpam-5944	264	12	0	0	NUM
ejpam-5944	264	13	1.0000	1.0000	NUM
ejpam-5944	264	14	1.0000	1.0000	NUM
ejpam-5944	264	15	0	0	NUM
ejpam-5944	264	16	1.0000	1.0000	NUM
ejpam-5944	264	17	1.0000	1.0000	NUM
ejpam-5944	264	18	0	0	NUM
ejpam-5944	264	19	0.1	0.1	NUM
ejpam-5944	264	20	1.1293	1.1293	NUM
ejpam-5944	264	21	1.1182	1.1182	NUM
ejpam-5944	264	22	1.1416×10−2	1.1416×10−2	NUM
ejpam-5944	264	23	1.1050	1.1050	NUM
ejpam-5944	264	24	1.1052	1.1052	NUM
ejpam-5944	264	25	3.6526×10−13	3.6526×10−13	NUM
ejpam-5944	264	26	0.2	0.2	NUM
ejpam-5944	264	27	1.2734	1.2734	NUM
ejpam-5944	264	28	1.2433	1.2433	NUM
ejpam-5944	264	29	3.0692×10−2	3.0692×10−2	NUM
ejpam-5944	264	30	1.2210	1.2210	NUM
ejpam-5944	264	31	1.2214	1.2214	NUM
ejpam-5944	264	32	7.6850×10−13	7.6850×10−13	NUM
ejpam-5944	264	33	0.3	0.3	NUM
ejpam-5944	264	34	1.4334	1.4334	NUM
ejpam-5944	264	35	1.3799	1.3799	NUM
ejpam-5944	264	36	5.4445×10−2	5.4445×10−2	NUM
ejpam-5944	264	37	1.3493	1.3493	NUM
ejpam-5944	264	38	1.3499	1.3499	NUM
ejpam-5944	264	39	1.2146×10−12	1.2146×10−12	NUM
ejpam-5944	264	40	0.4	0.4	NUM
ejpam-5944	264	41	1.6109	1.6109	NUM
ejpam-5944	264	42	1.5299	1.5299	NUM
ejpam-5944	264	43	8.2293×10−2	8.2293×10−2	NUM
ejpam-5944	264	44	1.4910	1.4910	NUM
ejpam-5944	264	45	1.4918	1.4918	NUM
ejpam-5944	264	46	1.7075×10−12	1.7075×10−12	NUM
ejpam-5944	264	47	0.5	0.5	NUM
ejpam-5944	264	48	1.8076	1.8076	NUM
ejpam-5944	264	49	1.6950	1.6950	NUM
ejpam-5944	264	50	1.1426×10−1	1.1426×10−1	NUM
ejpam-5944	264	51	1.6476	1.6476	NUM
ejpam-5944	264	52	1.6487	1.6487	NUM
ejpam-5944	264	53	2.2524×10−12	2.2524×10−12	NUM
ejpam-5944	264	54	0.6	0.6	NUM
ejpam-5944	264	55	2.0255	2.0255	NUM
ejpam-5944	264	56	1.8771	1.8771	NUM
ejpam-5944	264	57	1.5056×10−1	1.5056×10−1	NUM
ejpam-5944	264	58	1.8208	1.8208	NUM
ejpam-5944	264	59	1.8221	1.8221	NUM
ejpam-5944	264	60	2.8542×10−12	2.8542×10−12	NUM
ejpam-5944	264	61	0.7	0.7	NUM
ejpam-5944	264	62	2.2667	2.2667	NUM
ejpam-5944	264	63	2.0779	2.0779	NUM
ejpam-5944	264	64	1.9147×10−1	1.9147×10−1	NUM
ejpam-5944	264	65	2.0121	2.0121	NUM
ejpam-5944	264	66	2.0138	2.0138	NUM
ejpam-5944	264	67	3.5194×10−12	3.5194×10−12	NUM
ejpam-5944	264	68	0.8	0.8	NUM
ejpam-5944	264	69	2.5338	2.5338	NUM
ejpam-5944	264	70	2.2996	2.2996	NUM
ejpam-5944	264	71	2.3737×10−1	2.3737×10−1	NUM
ejpam-5944	264	72	2.2235	2.2235	NUM
ejpam-5944	264	73	2.2255	2.2255	NUM
ejpam-5944	264	74	4.2548×10−12	4.2548×10−12	NUM
ejpam-5944	264	75	0.9	0.9	NUM
ejpam-5944	264	76	2.8292	2.8292	NUM
ejpam-5944	264	77	2.5444	2.5444	NUM
ejpam-5944	264	78	2.8871×10−1	2.8871×10−1	NUM
ejpam-5944	264	79	2.4572	2.4572	NUM
ejpam-5944	264	80	2.4596	2.4596	NUM
ejpam-5944	264	81	5.0684×10−12	5.0684×10−12	NUM
ejpam-5944	264	82	1	1	NUM
ejpam-5944	264	83	3.1561	3.1561	NUM
ejpam-5944	264	84	2.8146	2.8146	NUM
ejpam-5944	264	85	3.4599×10−1	3.4599×10−1	NUM
ejpam-5944	264	86	2.7154	2.7154	NUM
ejpam-5944	264	87	2.7183	2.7183	NUM
ejpam-5944	264	88	5.9655×10−12	5.9655×10−12	NUM
ejpam-5944	264	89	0	0	NUM
ejpam-5944	264	90	0.1	0.1	NUM
ejpam-5944	264	91	0.2	0.2	NUM
ejpam-5944	264	92	0.3	0.3	NUM
ejpam-5944	264	93	0.4	0.4	NUM
ejpam-5944	264	94	0.5	0.5	NUM
ejpam-5944	264	95	0.6	0.6	NUM
ejpam-5944	264	96	0.7	0.7	NUM
ejpam-5944	264	97	0.8	0.8	NUM
ejpam-5944	264	98	0.9	0.9	NUM
ejpam-5944	264	99	1	1	NUM
ejpam-5944	264	100	t	t	NOUN
ejpam-5944	264	101	1	1	NUM
ejpam-5944	264	102	1.2	1.2	NUM
ejpam-5944	264	103	1.4	1.4	NUM
ejpam-5944	264	104	1.6	1.6	NUM
ejpam-5944	264	105	1.8	1.8	NUM
ejpam-5944	264	106	2	2	NUM
ejpam-5944	264	107	2.2	2.2	NUM
ejpam-5944	264	108	2.4	2.4	NUM
ejpam-5944	264	109	2.6	2.6	NUM
ejpam-5944	264	110	2.8	2.8	NUM
ejpam-5944	264	111	u	u	NOUN
ejpam-5944	264	112	(	(	PUNCT
ejpam-5944	264	113	t	t	PROPN
ejpam-5944	264	114	)	)	PUNCT
ejpam-5944	264	115	frk4	frk4	PROPN
ejpam-5944	264	116	exact	exact	NOUN
ejpam-5944	264	117	(	(	PUNCT
ejpam-5944	264	118	a	a	X
ejpam-5944	264	119	)	)	PUNCT
ejpam-5944	264	120	0	0	NUM
ejpam-5944	264	121	0.1	0.1	NUM
ejpam-5944	264	122	0.2	0.2	NUM
ejpam-5944	264	123	0.3	0.3	NUM
ejpam-5944	264	124	0.4	0.4	NUM
ejpam-5944	264	125	0.5	0.5	NUM
ejpam-5944	264	126	0.6	0.6	NUM
ejpam-5944	264	127	0.7	0.7	NUM
ejpam-5944	264	128	0.8	0.8	NUM
ejpam-5944	264	129	0.9	0.9	NUM
ejpam-5944	264	130	1	1	NUM
ejpam-5944	264	131	t	t	NOUN
ejpam-5944	264	132	1	1	NUM
ejpam-5944	264	133	1.5	1.5	NUM
ejpam-5944	264	134	2	2	NUM
ejpam-5944	264	135	2.5	2.5	NUM
ejpam-5944	264	136	3	3	NUM
ejpam-5944	264	137	3.5	3.5	NUM
ejpam-5944	264	138	u	u	NOUN
ejpam-5944	264	139	(	(	PUNCT
ejpam-5944	264	140	t	t	PROPN
ejpam-5944	264	141	)	)	PUNCT
ejpam-5944	264	142	frk4	frk4	PROPN
ejpam-5944	264	143	exact	exact	ADJ
ejpam-5944	264	144	(	(	PUNCT
ejpam-5944	264	145	b	b	NOUN
ejpam-5944	264	146	)	)	PUNCT
ejpam-5944	264	147	figure	figure	NOUN
ejpam-5944	264	148	7	7	NUM
ejpam-5944	264	149	:	:	PUNCT
ejpam-5944	264	150	(	(	PUNCT
ejpam-5944	264	151	a	a	X
ejpam-5944	264	152	)	)	PUNCT
ejpam-5944	264	153	the	the	DET
ejpam-5944	264	154	approximate	approximate	ADJ
ejpam-5944	264	155	and	and	CCONJ
ejpam-5944	264	156	exact	exact	ADJ
ejpam-5944	264	157	solution	solution	NOUN
ejpam-5944	264	158	of	of	ADP
ejpam-5944	264	159	problem	problem	NOUN
ejpam-5944	264	160	2	2	NUM
ejpam-5944	264	161	using	use	VERB
ejpam-5944	264	162	frk4	frk4	NOUN
ejpam-5944	264	163	method	method	NOUN
ejpam-5944	264	164	with	with	ADP
ejpam-5944	264	165	u0	u0	ADJ
ejpam-5944	264	166	=	=	ADJ
ejpam-5944	264	167	1	1	NUM
ejpam-5944	264	168	,	,	PUNCT
ejpam-5944	264	169	k	k	NOUN
ejpam-5944	264	170	=	=	SYM
ejpam-5944	264	171	1	1	NUM
ejpam-5944	264	172	,	,	PUNCT
ejpam-5944	264	173	h	h	NOUN
ejpam-5944	264	174	=	=	NOUN
ejpam-5944	264	175	0.01	0.01	NUM
ejpam-5944	264	176	,	,	PUNCT
ejpam-5944	264	177	β	β	X
ejpam-5944	264	178	=	=	NOUN
ejpam-5944	265	1	1	1	X
ejpam-5944	265	2	.	.	PUNCT
ejpam-5944	266	1	we	we	PRON
ejpam-5944	266	2	see	see	VERB
ejpam-5944	266	3	that	that	SCONJ
ejpam-5944	266	4	the	the	DET
ejpam-5944	266	5	approximate	approximate	ADJ
ejpam-5944	266	6	solution	solution	NOUN
ejpam-5944	266	7	is	be	AUX
ejpam-5944	266	8	in	in	ADP
ejpam-5944	266	9	good	good	ADJ
ejpam-5944	266	10	agreement	agreement	NOUN
ejpam-5944	266	11	with	with	ADP
ejpam-5944	266	12	the	the	DET
ejpam-5944	266	13	exact	exact	ADJ
ejpam-5944	266	14	solution	solution	NOUN
ejpam-5944	266	15	.	.	PUNCT
ejpam-5944	267	1	(	(	PUNCT
ejpam-5944	267	2	b	b	X
ejpam-5944	267	3	)	)	PUNCT
ejpam-5944	267	4	the	the	DET
ejpam-5944	267	5	approximate	approximate	ADJ
ejpam-5944	267	6	and	and	CCONJ
ejpam-5944	267	7	exact	exact	ADJ
ejpam-5944	267	8	solution	solution	NOUN
ejpam-5944	267	9	of	of	ADP
ejpam-5944	267	10	problem	problem	NOUN
ejpam-5944	267	11	2	2	NUM
ejpam-5944	267	12	using	use	VERB
ejpam-5944	267	13	the	the	DET
ejpam-5944	267	14	frk4	frk4	NOUN
ejpam-5944	267	15	method	method	NOUN
ejpam-5944	267	16	with	with	ADP
ejpam-5944	267	17	u0	u0	ADJ
ejpam-5944	267	18	=	=	ADJ
ejpam-5944	267	19	1	1	NUM
ejpam-5944	267	20	,	,	PUNCT
ejpam-5944	267	21	k	k	NOUN
ejpam-5944	267	22	=	=	SYM
ejpam-5944	267	23	1	1	NUM
ejpam-5944	267	24	,	,	PUNCT
ejpam-5944	267	25	h	h	NOUN
ejpam-5944	268	1	=	=	NOUN
ejpam-5944	268	2	0.01	0.01	NUM
ejpam-5944	268	3	,	,	PUNCT
ejpam-5944	268	4	β	β	X
ejpam-5944	268	5	=	=	SYM
ejpam-5944	268	6	0.96	0.96	NUM
ejpam-5944	268	7	.	.	PUNCT
ejpam-5944	269	1	the	the	DET
ejpam-5944	269	2	figure	figure	NOUN
ejpam-5944	269	3	shows	show	VERB
ejpam-5944	269	4	a	a	DET
ejpam-5944	269	5	slight	slight	ADJ
ejpam-5944	269	6	deviation	deviation	NOUN
ejpam-5944	269	7	from	from	ADP
ejpam-5944	269	8	the	the	DET
ejpam-5944	269	9	exact	exact	ADJ
ejpam-5944	269	10	solution	solution	NOUN
ejpam-5944	269	11	,	,	PUNCT
ejpam-5944	269	12	suggesting	suggest	VERB
ejpam-5944	269	13	that	that	SCONJ
ejpam-5944	269	14	lower	low	ADJ
ejpam-5944	269	15	β	β	PROPN
ejpam-5944	269	16	values	value	NOUN
ejpam-5944	269	17	introduce	introduce	VERB
ejpam-5944	269	18	memory	memory	NOUN
ejpam-5944	269	19	effects	effect	NOUN
ejpam-5944	269	20	that	that	PRON
ejpam-5944	269	21	temper	temper	NOUN
ejpam-5944	269	22	exponential	exponential	ADJ
ejpam-5944	269	23	growth	growth	NOUN
ejpam-5944	269	24	,	,	PUNCT
ejpam-5944	269	25	relevant	relevant	ADJ
ejpam-5944	269	26	for	for	ADP
ejpam-5944	269	27	modeling	model	VERB
ejpam-5944	269	28	populations	population	NOUN
ejpam-5944	269	29	with	with	ADP
ejpam-5944	269	30	historical	historical	ADJ
ejpam-5944	269	31	constraints	constraint	NOUN
ejpam-5944	269	32	.	.	PUNCT
ejpam-5944	270	1	kamran	kamran	PROPN
ejpam-5944	270	2	et	et	PROPN
ejpam-5944	270	3	al	al	PROPN
ejpam-5944	270	4	.	.	PUNCT
ejpam-5944	270	5	/	/	SYM
ejpam-5944	270	6	eur	eur	PROPN
ejpam-5944	270	7	.	.	PUNCT
ejpam-5944	271	1	j.	j.	PROPN
ejpam-5944	271	2	pure	pure	PROPN
ejpam-5944	271	3	appl	appl	PROPN
ejpam-5944	271	4	.	.	PROPN
ejpam-5944	271	5	math	math	PROPN
ejpam-5944	271	6	,	,	PUNCT
ejpam-5944	271	7	18	18	NUM
ejpam-5944	271	8	(	(	PUNCT
ejpam-5944	271	9	2	2	NUM
ejpam-5944	271	10	)	)	PUNCT
ejpam-5944	271	11	(	(	PUNCT
ejpam-5944	271	12	2025	2025	NUM
ejpam-5944	271	13	)	)	PUNCT
ejpam-5944	271	14	,	,	PUNCT
ejpam-5944	271	15	5944	5944	NUM
ejpam-5944	271	16	18	18	NUM
ejpam-5944	271	17	of	of	ADP
ejpam-5944	271	18	32	32	NUM
ejpam-5944	271	19	0	0	NUM
ejpam-5944	271	20	0.1	0.1	NUM
ejpam-5944	271	21	0.2	0.2	NUM
ejpam-5944	271	22	0.3	0.3	NUM
ejpam-5944	271	23	0.4	0.4	NUM
ejpam-5944	271	24	0.5	0.5	NUM
ejpam-5944	271	25	0.6	0.6	NUM
ejpam-5944	271	26	0.7	0.7	NUM
ejpam-5944	271	27	0.8	0.8	NUM
ejpam-5944	271	28	0.9	0.9	NUM
ejpam-5944	271	29	1	1	NUM
ejpam-5944	271	30	t	t	NOUN
ejpam-5944	271	31	0	0	NUM
ejpam-5944	271	32	2	2	NUM
ejpam-5944	271	33	4	4	NUM
ejpam-5944	271	34	6	6	NUM
ejpam-5944	271	35	8	8	NUM
ejpam-5944	271	36	10	10	NUM
ejpam-5944	271	37	12	12	NUM
ejpam-5944	271	38	14	14	NUM
ejpam-5944	271	39	u	u	NOUN
ejpam-5944	271	40	(	(	PUNCT
ejpam-5944	271	41	t	t	PROPN
ejpam-5944	271	42	)	)	PUNCT
ejpam-5944	272	1	=	=	NOUN
ejpam-5944	272	2	0.5	0.5	NUM
ejpam-5944	272	3	=	=	SYM
ejpam-5944	272	4	0.6	0.6	NUM
ejpam-5944	272	5	=	=	NOUN
ejpam-5944	272	6	0.7	0.7	NUM
ejpam-5944	272	7	=	=	SYM
ejpam-5944	272	8	0.8	0.8	NUM
ejpam-5944	272	9	=	=	NUM
ejpam-5944	272	10	0.9	0.9	NUM
ejpam-5944	272	11	=	=	SYM
ejpam-5944	272	12	1	1	NUM
ejpam-5944	272	13	(	(	PUNCT
ejpam-5944	272	14	a	a	NOUN
ejpam-5944	272	15	)	)	PUNCT
ejpam-5944	272	16	0	0	NUM
ejpam-5944	272	17	0.1	0.1	NUM
ejpam-5944	272	18	0.2	0.2	NUM
ejpam-5944	272	19	0.3	0.3	NUM
ejpam-5944	272	20	0.4	0.4	NUM
ejpam-5944	272	21	0.5	0.5	NUM
ejpam-5944	272	22	0.6	0.6	NUM
ejpam-5944	272	23	0.7	0.7	NUM
ejpam-5944	272	24	0.8	0.8	NUM
ejpam-5944	272	25	0.9	0.9	NUM
ejpam-5944	272	26	1	1	NUM
ejpam-5944	272	27	t	t	NOUN
ejpam-5944	272	28	0	0	NUM
ejpam-5944	272	29	5	5	NUM
ejpam-5944	272	30	10	10	NUM
ejpam-5944	272	31	15	15	NUM
ejpam-5944	272	32	20	20	NUM
ejpam-5944	272	33	25	25	NUM
ejpam-5944	272	34	30	30	NUM
ejpam-5944	272	35	35	35	NUM
ejpam-5944	272	36	40	40	NUM
ejpam-5944	272	37	u	u	NOUN
ejpam-5944	272	38	(	(	PUNCT
ejpam-5944	272	39	t	t	PROPN
ejpam-5944	272	40	)	)	PUNCT
ejpam-5944	273	1	=	=	NOUN
ejpam-5944	273	2	0.5	0.5	NUM
ejpam-5944	273	3	=	=	SYM
ejpam-5944	273	4	0.6	0.6	NUM
ejpam-5944	273	5	=	=	NOUN
ejpam-5944	273	6	0.7	0.7	NUM
ejpam-5944	273	7	=	=	SYM
ejpam-5944	273	8	0.8	0.8	NUM
ejpam-5944	273	9	=	=	NUM
ejpam-5944	273	10	0.9	0.9	NUM
ejpam-5944	273	11	=	=	SYM
ejpam-5944	273	12	1	1	NUM
ejpam-5944	273	13	(	(	PUNCT
ejpam-5944	273	14	b	b	NOUN
ejpam-5944	273	15	)	)	PUNCT
ejpam-5944	273	16	figure	figure	NOUN
ejpam-5944	273	17	8	8	NUM
ejpam-5944	273	18	:	:	PUNCT
ejpam-5944	273	19	(	(	PUNCT
ejpam-5944	273	20	a	a	X
ejpam-5944	273	21	)	)	PUNCT
ejpam-5944	273	22	the	the	DET
ejpam-5944	273	23	approximate	approximate	ADJ
ejpam-5944	273	24	solutions	solution	NOUN
ejpam-5944	273	25	of	of	ADP
ejpam-5944	273	26	problem	problem	NOUN
ejpam-5944	273	27	2	2	NUM
ejpam-5944	273	28	using	use	VERB
ejpam-5944	273	29	frk4	frk4	NOUN
ejpam-5944	273	30	method	method	NOUN
ejpam-5944	273	31	with	with	ADP
ejpam-5944	273	32	u0	u0	ADJ
ejpam-5944	273	33	=	=	ADJ
ejpam-5944	273	34	1	1	NUM
ejpam-5944	273	35	,	,	PUNCT
ejpam-5944	273	36	k	k	NOUN
ejpam-5944	273	37	=	=	SYM
ejpam-5944	273	38	1	1	NUM
ejpam-5944	273	39	,	,	PUNCT
ejpam-5944	273	40	h	h	NOUN
ejpam-5944	273	41	=	=	NOUN
ejpam-5944	273	42	0.1	0.1	NUM
ejpam-5944	273	43	for	for	ADP
ejpam-5944	273	44	different	different	ADJ
ejpam-5944	273	45	fractional	fractional	ADJ
ejpam-5944	273	46	orders	order	NOUN
ejpam-5944	273	47	β	β	X
ejpam-5944	273	48	.	.	PUNCT
ejpam-5944	273	49	note	note	VERB
ejpam-5944	273	50	that	that	SCONJ
ejpam-5944	273	51	the	the	PRON
ejpam-5944	273	52	lower	low	ADJ
ejpam-5944	273	53	the	the	DET
ejpam-5944	273	54	order	order	NOUN
ejpam-5944	273	55	of	of	ADP
ejpam-5944	273	56	the	the	DET
ejpam-5944	273	57	derivative	derivative	NOUN
ejpam-5944	273	58	,	,	PUNCT
ejpam-5944	273	59	the	the	PRON
ejpam-5944	273	60	greater	great	ADJ
ejpam-5944	273	61	the	the	DET
ejpam-5944	273	62	rate	rate	NOUN
ejpam-5944	273	63	of	of	ADP
ejpam-5944	273	64	variation	variation	NOUN
ejpam-5944	273	65	.	.	PUNCT
ejpam-5944	274	1	(	(	PUNCT
ejpam-5944	274	2	b	b	X
ejpam-5944	274	3	)	)	PUNCT
ejpam-5944	274	4	the	the	DET
ejpam-5944	274	5	approximate	approximate	ADJ
ejpam-5944	274	6	solutions	solution	NOUN
ejpam-5944	274	7	of	of	ADP
ejpam-5944	274	8	problem	problem	NOUN
ejpam-5944	274	9	2	2	NUM
ejpam-5944	274	10	using	use	VERB
ejpam-5944	274	11	frk4	frk4	NOUN
ejpam-5944	274	12	method	method	NOUN
ejpam-5944	274	13	with	with	ADP
ejpam-5944	274	14	u0	u0	ADJ
ejpam-5944	274	15	=	=	ADJ
ejpam-5944	274	16	1	1	NUM
ejpam-5944	274	17	,	,	PUNCT
ejpam-5944	274	18	k	k	NOUN
ejpam-5944	274	19	=	=	SYM
ejpam-5944	274	20	1	1	NUM
ejpam-5944	274	21	,	,	PUNCT
ejpam-5944	274	22	h	h	NOUN
ejpam-5944	274	23	=	=	NOUN
ejpam-5944	274	24	0.01	0.01	NUM
ejpam-5944	274	25	for	for	ADP
ejpam-5944	274	26	different	different	ADJ
ejpam-5944	274	27	fractional	fractional	ADJ
ejpam-5944	274	28	orders	order	NOUN
ejpam-5944	274	29	β	β	NOUN
ejpam-5944	274	30	.	.	PUNCT
ejpam-5944	275	1	the	the	DET
ejpam-5944	275	2	smaller	small	ADJ
ejpam-5944	275	3	step	step	NOUN
ejpam-5944	275	4	size	size	NOUN
ejpam-5944	275	5	in	in	ADP
ejpam-5944	275	6	this	this	DET
ejpam-5944	275	7	figure	figure	NOUN
ejpam-5944	275	8	results	result	VERB
ejpam-5944	275	9	in	in	ADP
ejpam-5944	275	10	smoother	smooth	ADJ
ejpam-5944	275	11	curves	curve	NOUN
ejpam-5944	275	12	,	,	PUNCT
ejpam-5944	275	13	indicating	indicate	VERB
ejpam-5944	275	14	improved	improved	ADJ
ejpam-5944	275	15	accuracy	accuracy	NOUN
ejpam-5944	275	16	.	.	PUNCT
ejpam-5944	276	1	0	0	NUM
ejpam-5944	276	2	0.1	0.1	NUM
ejpam-5944	276	3	0.2	0.2	NUM
ejpam-5944	276	4	0.3	0.3	NUM
ejpam-5944	276	5	0.4	0.4	NUM
ejpam-5944	276	6	0.5	0.5	NUM
ejpam-5944	276	7	0.6	0.6	NUM
ejpam-5944	276	8	0.7	0.7	NUM
ejpam-5944	276	9	0.8	0.8	NUM
ejpam-5944	276	10	0.9	0.9	NUM
ejpam-5944	276	11	1	1	NUM
ejpam-5944	276	12	t	t	NOUN
ejpam-5944	276	13	0	0	NUM
ejpam-5944	276	14	0.2	0.2	NUM
ejpam-5944	276	15	0.4	0.4	NUM
ejpam-5944	276	16	0.6	0.6	NUM
ejpam-5944	276	17	0.8	0.8	NUM
ejpam-5944	276	18	1	1	NUM
ejpam-5944	276	19	1.2	1.2	NUM
ejpam-5944	276	20	1.4	1.4	NUM
ejpam-5944	276	21	e	e	NOUN
ejpam-5944	276	22	r	r	NOUN
ejpam-5944	276	23	r	r	NOUN
ejpam-5944	276	24	o	o	NOUN
ejpam-5944	276	25	r	r	NOUN
ejpam-5944	276	26	a	a	PRON
ejpam-5944	276	27	b	b	NOUN
ejpam-5944	276	28	s	s	PART
ejpam-5944	276	29	10	10	NUM
ejpam-5944	276	30	-14	-14	PUNCT
ejpam-5944	276	31	(	(	PUNCT
ejpam-5944	276	32	a	a	X
ejpam-5944	276	33	)	)	PUNCT
ejpam-5944	276	34	0	0	NUM
ejpam-5944	276	35	0.1	0.1	NUM
ejpam-5944	276	36	0.2	0.2	NUM
ejpam-5944	276	37	0.3	0.3	NUM
ejpam-5944	276	38	0.4	0.4	NUM
ejpam-5944	276	39	0.5	0.5	NUM
ejpam-5944	276	40	0.6	0.6	NUM
ejpam-5944	276	41	0.7	0.7	NUM
ejpam-5944	276	42	0.8	0.8	NUM
ejpam-5944	276	43	0.9	0.9	NUM
ejpam-5944	276	44	1	1	NUM
ejpam-5944	276	45	t	t	NOUN
ejpam-5944	276	46	0	0	NUM
ejpam-5944	276	47	0.5	0.5	NUM
ejpam-5944	276	48	1	1	NUM
ejpam-5944	276	49	1.5	1.5	NUM
ejpam-5944	276	50	2	2	NUM
ejpam-5944	276	51	2.5	2.5	NUM
ejpam-5944	276	52	3	3	NUM
ejpam-5944	276	53	3.5	3.5	NUM
ejpam-5944	276	54	4	4	NUM
ejpam-5944	276	55	4.5	4.5	NUM
ejpam-5944	276	56	5	5	NUM
ejpam-5944	276	57	e	e	NOUN
ejpam-5944	276	58	r	r	NOUN
ejpam-5944	276	59	r	r	NOUN
ejpam-5944	276	60	o	o	NOUN
ejpam-5944	276	61	r	r	NOUN
ejpam-5944	276	62	a	a	DET
ejpam-5944	276	63	b	b	NOUN
ejpam-5944	276	64	s	s	PROPN
ejpam-5944	276	65	10	10	NUM
ejpam-5944	276	66	-15	-15	NUM
ejpam-5944	276	67	(	(	PUNCT
ejpam-5944	276	68	b	b	NOUN
ejpam-5944	276	69	)	)	PUNCT
ejpam-5944	276	70	figure	figure	NOUN
ejpam-5944	276	71	9	9	NUM
ejpam-5944	276	72	:	:	PUNCT
ejpam-5944	276	73	(	(	PUNCT
ejpam-5944	276	74	a	a	X
ejpam-5944	276	75	)	)	PUNCT
ejpam-5944	276	76	the	the	DET
ejpam-5944	276	77	errorabs	errorab	NOUN
ejpam-5944	276	78	of	of	ADP
ejpam-5944	276	79	frk4	frk4	NOUN
ejpam-5944	276	80	for	for	ADP
ejpam-5944	276	81	problem	problem	NOUN
ejpam-5944	276	82	2	2	NUM
ejpam-5944	276	83	with	with	ADP
ejpam-5944	276	84	u0	u0	ADJ
ejpam-5944	276	85	=	=	ADJ
ejpam-5944	276	86	1	1	NUM
ejpam-5944	276	87	,	,	PUNCT
ejpam-5944	276	88	k	k	NOUN
ejpam-5944	276	89	=	=	SYM
ejpam-5944	276	90	1	1	NUM
ejpam-5944	276	91	,	,	PUNCT
ejpam-5944	276	92	h	h	NOUN
ejpam-5944	276	93	=	=	NOUN
ejpam-5944	276	94	0.0001	0.0001	NUM
ejpam-5944	276	95	for	for	ADP
ejpam-5944	276	96	β	β	X
ejpam-5944	276	97	=	=	SYM
ejpam-5944	276	98	1	1	X
ejpam-5944	276	99	.	.	PUNCT
ejpam-5944	277	1	(	(	PUNCT
ejpam-5944	277	2	b	b	X
ejpam-5944	277	3	)	)	PUNCT
ejpam-5944	277	4	the	the	DET
ejpam-5944	277	5	errorabs	errorab	NOUN
ejpam-5944	277	6	of	of	ADP
ejpam-5944	277	7	frk4	frk4	NOUN
ejpam-5944	277	8	for	for	ADP
ejpam-5944	277	9	problem	problem	NOUN
ejpam-5944	277	10	2	2	NUM
ejpam-5944	277	11	with	with	ADP
ejpam-5944	277	12	u0	u0	ADJ
ejpam-5944	277	13	=	=	ADJ
ejpam-5944	277	14	1	1	NUM
ejpam-5944	277	15	,	,	PUNCT
ejpam-5944	277	16	k	k	NOUN
ejpam-5944	277	17	=	=	SYM
ejpam-5944	277	18	1	1	NUM
ejpam-5944	277	19	,	,	PUNCT
ejpam-5944	277	20	h	h	NOUN
ejpam-5944	277	21	=	=	NOUN
ejpam-5944	277	22	0.0005	0.0005	NUM
ejpam-5944	277	23	for	for	ADP
ejpam-5944	277	24	β	β	X
ejpam-5944	277	25	=	=	SYM
ejpam-5944	277	26	1	1	X
ejpam-5944	277	27	.	.	PUNCT
ejpam-5944	278	1	the	the	DET
ejpam-5944	278	2	smaller	small	ADJ
ejpam-5944	278	3	h	h	NOUN
ejpam-5944	278	4	in	in	ADP
ejpam-5944	278	5	figure	figure	NOUN
ejpam-5944	278	6	(	(	PUNCT
ejpam-5944	278	7	a	a	X
ejpam-5944	278	8	)	)	PUNCT
ejpam-5944	278	9	yields	yield	NOUN
ejpam-5944	278	10	slightly	slightly	ADV
ejpam-5944	278	11	lower	low	ADJ
ejpam-5944	278	12	errors	error	NOUN
ejpam-5944	278	13	;	;	PUNCT
ejpam-5944	278	14	however	however	ADV
ejpam-5944	278	15	,	,	PUNCT
ejpam-5944	278	16	the	the	DET
ejpam-5944	278	17	stable	stable	ADJ
ejpam-5944	278	18	,	,	PUNCT
ejpam-5944	278	19	low	low	ADJ
ejpam-5944	278	20	errors	error	NOUN
ejpam-5944	278	21	indicate	indicate	VERB
ejpam-5944	278	22	that	that	DET
ejpam-5944	278	23	frk4	frk4	NOUN
ejpam-5944	278	24	is	be	AUX
ejpam-5944	278	25	highly	highly	ADV
ejpam-5944	278	26	effective	effective	ADJ
ejpam-5944	278	27	for	for	ADP
ejpam-5944	278	28	exponential	exponential	ADJ
ejpam-5944	278	29	growth	growth	NOUN
ejpam-5944	278	30	models	model	NOUN
ejpam-5944	278	31	,	,	PUNCT
ejpam-5944	278	32	particularly	particularly	ADV
ejpam-5944	278	33	when	when	SCONJ
ejpam-5944	278	34	high	high	ADJ
ejpam-5944	278	35	accuracy	accuracy	NOUN
ejpam-5944	278	36	is	be	AUX
ejpam-5944	278	37	needed	need	VERB
ejpam-5944	278	38	for	for	ADP
ejpam-5944	278	39	long	long	ADJ
ejpam-5944	278	40	-	-	PUNCT
ejpam-5944	278	41	term	term	NOUN
ejpam-5944	278	42	predictions	prediction	NOUN
ejpam-5944	278	43	.	.	PUNCT
ejpam-5944	279	1	kamran	kamran	PROPN
ejpam-5944	279	2	et	et	PROPN
ejpam-5944	279	3	al	al	PROPN
ejpam-5944	279	4	.	.	PUNCT
ejpam-5944	279	5	/	/	SYM
ejpam-5944	279	6	eur	eur	PROPN
ejpam-5944	279	7	.	.	PUNCT
ejpam-5944	280	1	j.	j.	PROPN
ejpam-5944	280	2	pure	pure	PROPN
ejpam-5944	280	3	appl	appl	PROPN
ejpam-5944	280	4	.	.	PROPN
ejpam-5944	280	5	math	math	PROPN
ejpam-5944	280	6	,	,	PUNCT
ejpam-5944	280	7	18	18	NUM
ejpam-5944	280	8	(	(	PUNCT
ejpam-5944	280	9	2	2	NUM
ejpam-5944	280	10	)	)	PUNCT
ejpam-5944	280	11	(	(	PUNCT
ejpam-5944	280	12	2025	2025	NUM
ejpam-5944	280	13	)	)	PUNCT
ejpam-5944	280	14	,	,	PUNCT
ejpam-5944	280	15	5944	5944	NUM
ejpam-5944	280	16	19	19	NUM
ejpam-5944	280	17	of	of	ADP
ejpam-5944	280	18	32	32	NUM
ejpam-5944	280	19	4.1	4.1	NUM
ejpam-5944	280	20	.	.	PUNCT
ejpam-5944	281	1	problem	problem	NOUN
ejpam-5944	281	2	3	3	NUM
ejpam-5944	281	3	here	here	ADV
ejpam-5944	281	4	we	we	PRON
ejpam-5944	281	5	consider	consider	VERB
ejpam-5944	281	6	the	the	DET
ejpam-5944	281	7	quadratic	quadratic	ADJ
ejpam-5944	281	8	logistic	logistic	ADJ
ejpam-5944	281	9	growth	growth	NOUN
ejpam-5944	281	10	model	model	NOUN
ejpam-5944	281	11	of	of	ADP
ejpam-5944	281	12	the	the	DET
ejpam-5944	281	13	form	form	NOUN
ejpam-5944	281	14	c	c	PROPN
ejpam-5944	281	15	0dβ	0dβ	PROPN
ejpam-5944	281	16	t	t	PROPN
ejpam-5944	281	17	u(t	u(t	PROPN
ejpam-5944	281	18	)	)	PUNCT
ejpam-5944	281	19	=	=	SYM
ejpam-5944	282	1	1	1	NUM
ejpam-5944	282	2	2u(t)(1	2u(t)(1	NUM
ejpam-5944	282	3	−	−	ADP
ejpam-5944	282	4	u(t	u(t	NOUN
ejpam-5944	282	5	)	)	PUNCT
ejpam-5944	282	6	)	)	PUNCT
ejpam-5944	282	7	,	,	PUNCT
ejpam-5944	282	8	(	(	PUNCT
ejpam-5944	282	9	4.3	4.3	NUM
ejpam-5944	282	10	)	)	PUNCT
ejpam-5944	282	11	with	with	ADP
ejpam-5944	282	12	the	the	DET
ejpam-5944	282	13	initial	initial	ADJ
ejpam-5944	282	14	condition	condition	NOUN
ejpam-5944	282	15	u0	u0	NOUN
ejpam-5944	282	16	=	=	NOUN
ejpam-5944	282	17	1	1	NUM
ejpam-5944	282	18	4	4	NUM
ejpam-5944	282	19	.	.	PUNCT
ejpam-5944	283	1	the	the	DET
ejpam-5944	283	2	exact	exact	ADJ
ejpam-5944	283	3	solution	solution	NOUN
ejpam-5944	283	4	of	of	ADP
ejpam-5944	283	5	the	the	DET
ejpam-5944	283	6	problem	problem	NOUN
ejpam-5944	283	7	for	for	ADP
ejpam-5944	283	8	β	β	NOUN
ejpam-5944	283	9	=	=	SYM
ejpam-5944	283	10	1	1	NUM
ejpam-5944	283	11	is	be	AUX
ejpam-5944	283	12	given	give	VERB
ejpam-5944	283	13	as	as	ADP
ejpam-5944	283	14	u(t	u(t	NOUN
ejpam-5944	283	15	)	)	PUNCT
ejpam-5944	284	1	=	=	PUNCT
ejpam-5944	284	2	e	e	X
ejpam-5944	284	3	t	t	PROPN
ejpam-5944	284	4	2	2	NUM
ejpam-5944	284	5	e	e	NOUN
ejpam-5944	284	6	t	t	NOUN
ejpam-5944	284	7	2	2	NUM
ejpam-5944	284	8	+3	+3	PROPN
ejpam-5944	284	9	.	.	PUNCT
ejpam-5944	285	1	using	use	VERB
ejpam-5944	285	2	theorem	theorem	ADJ
ejpam-5944	285	3	2the	2the	NUM
ejpam-5944	285	4	the	the	DET
ejpam-5944	285	5	exact	exact	ADJ
ejpam-5944	285	6	solution	solution	NOUN
ejpam-5944	285	7	of	of	ADP
ejpam-5944	285	8	the	the	DET
ejpam-5944	285	9	given	give	VERB
ejpam-5944	285	10	problem	problem	NOUN
ejpam-5944	285	11	for	for	ADP
ejpam-5944	285	12	non	non	ADJ
ejpam-5944	285	13	integer	integer	NOUN
ejpam-5944	285	14	value	value	NOUN
ejpam-5944	285	15	of	of	ADP
ejpam-5944	285	16	β	β	PROPN
ejpam-5944	285	17	will	will	AUX
ejpam-5944	285	18	be	be	AUX
ejpam-5944	285	19	of	of	ADP
ejpam-5944	285	20	the	the	DET
ejpam-5944	285	21	form	form	NOUN
ejpam-5944	285	22	u(t	u(t	NOUN
ejpam-5944	285	23	)	)	PUNCT
ejpam-5944	286	1	=	=	SYM
ejpam-5944	286	2	e	e	X
ejpam-5944	286	3	(	(	PUNCT
ejpam-5944	286	4	tβ	tβ	PROPN
ejpam-5944	286	5	2γ(β+1	2γ(β+1	NUM
ejpam-5944	286	6	)	)	PUNCT
ejpam-5944	286	7	)	)	PUNCT
ejpam-5944	287	1	e	e	X
ejpam-5944	287	2	(	(	PUNCT
ejpam-5944	287	3	tβ	tβ	PROPN
ejpam-5944	287	4	2γ(β+1	2γ(β+1	NUM
ejpam-5944	287	5	)	)	PUNCT
ejpam-5944	287	6	)	)	PUNCT
ejpam-5944	288	1	+	+	CCONJ
ejpam-5944	288	2	3	3	NUM
ejpam-5944	288	3	the	the	DET
ejpam-5944	288	4	results	result	NOUN
ejpam-5944	288	5	obtained	obtain	VERB
ejpam-5944	288	6	using	use	VERB
ejpam-5944	288	7	the	the	DET
ejpam-5944	288	8	frk4	frk4	NOUN
ejpam-5944	288	9	method	method	NOUN
ejpam-5944	288	10	for	for	ADP
ejpam-5944	288	11	fractional	fractional	ADJ
ejpam-5944	288	12	orders	order	NOUN
ejpam-5944	288	13	β	β	NOUN
ejpam-5944	288	14	=	=	SYM
ejpam-5944	288	15	1	1	NUM
ejpam-5944	288	16	and	and	CCONJ
ejpam-5944	288	17	β	β	X
ejpam-5944	288	18	=	=	NOUN
ejpam-5944	288	19	0.96	0.96	NUM
ejpam-5944	288	20	,	,	PUNCT
ejpam-5944	288	21	with	with	ADP
ejpam-5944	288	22	u0	u0	ADJ
ejpam-5944	288	23	=	=	NOUN
ejpam-5944	288	24	0.25	0.25	NUM
ejpam-5944	288	25	and	and	CCONJ
ejpam-5944	288	26	h	h	NOUN
ejpam-5944	288	27	=	=	NOUN
ejpam-5944	288	28	0.1	0.1	NUM
ejpam-5944	288	29	,	,	PUNCT
ejpam-5944	288	30	are	be	AUX
ejpam-5944	288	31	presented	present	VERB
ejpam-5944	288	32	in	in	ADP
ejpam-5944	288	33	table	table	NOUN
ejpam-5944	288	34	6	6	NUM
ejpam-5944	288	35	.	.	PUNCT
ejpam-5944	289	1	additionally	additionally	ADV
ejpam-5944	289	2	,	,	PUNCT
ejpam-5944	289	3	table	table	NOUN
ejpam-5944	289	4	7	7	NUM
ejpam-5944	289	5	presents	present	VERB
ejpam-5944	289	6	the	the	DET
ejpam-5944	289	7	results	result	NOUN
ejpam-5944	289	8	for	for	ADP
ejpam-5944	289	9	the	the	DET
ejpam-5944	289	10	same	same	ADJ
ejpam-5944	289	11	fractional	fractional	ADJ
ejpam-5944	289	12	orders	order	NOUN
ejpam-5944	289	13	using	use	VERB
ejpam-5944	289	14	a	a	DET
ejpam-5944	289	15	finer	fine	ADJ
ejpam-5944	289	16	step	step	NOUN
ejpam-5944	289	17	size	size	NOUN
ejpam-5944	289	18	h	h	NOUN
ejpam-5944	289	19	=	=	NOUN
ejpam-5944	289	20	0.01	0.01	NUM
ejpam-5944	289	21	,	,	PUNCT
ejpam-5944	289	22	with	with	ADP
ejpam-5944	289	23	u0	u0	ADJ
ejpam-5944	289	24	=	=	ADJ
ejpam-5944	289	25	0.25	0.25	NUM
ejpam-5944	289	26	.	.	PUNCT
ejpam-5944	290	1	figures	figure	NOUN
ejpam-5944	290	2	10a	10a	NOUN
ejpam-5944	290	3	and	and	CCONJ
ejpam-5944	290	4	10b	10b	NOUN
ejpam-5944	290	5	show	show	VERB
ejpam-5944	290	6	the	the	DET
ejpam-5944	290	7	plots	plot	NOUN
ejpam-5944	290	8	of	of	ADP
ejpam-5944	290	9	the	the	DET
ejpam-5944	290	10	numerical	numerical	ADJ
ejpam-5944	290	11	and	and	CCONJ
ejpam-5944	290	12	exact	exact	ADJ
ejpam-5944	290	13	solutions	solution	NOUN
ejpam-5944	290	14	for	for	ADP
ejpam-5944	290	15	β	β	X
ejpam-5944	290	16	=	=	SYM
ejpam-5944	290	17	1	1	NUM
ejpam-5944	290	18	and	and	CCONJ
ejpam-5944	290	19	β	β	X
ejpam-5944	290	20	=	=	SYM
ejpam-5944	290	21	0.96	0.96	NUM
ejpam-5944	290	22	,	,	PUNCT
ejpam-5944	290	23	respectively	respectively	ADV
ejpam-5944	290	24	,	,	PUNCT
ejpam-5944	290	25	using	use	VERB
ejpam-5944	290	26	u0	u0	NOUN
ejpam-5944	290	27	=	=	PROPN
ejpam-5944	290	28	0.25	0.25	NUM
ejpam-5944	290	29	and	and	CCONJ
ejpam-5944	290	30	h	h	NOUN
ejpam-5944	290	31	=	=	NOUN
ejpam-5944	290	32	0.1	0.1	NUM
ejpam-5944	290	33	.	.	PUNCT
ejpam-5944	291	1	similarly	similarly	ADV
ejpam-5944	291	2	,	,	PUNCT
ejpam-5944	291	3	figures	figure	VERB
ejpam-5944	291	4	11a	11a	NOUN
ejpam-5944	291	5	and	and	CCONJ
ejpam-5944	291	6	11b	11b	NOUN
ejpam-5944	291	7	depict	depict	VERB
ejpam-5944	291	8	the	the	DET
ejpam-5944	291	9	corresponding	corresponding	ADJ
ejpam-5944	291	10	plots	plot	NOUN
ejpam-5944	291	11	for	for	ADP
ejpam-5944	291	12	h	h	NOUN
ejpam-5944	291	13	=	=	NOUN
ejpam-5944	291	14	0.01	0.01	NUM
ejpam-5944	291	15	.	.	PUNCT
ejpam-5944	292	1	figure	figure	NOUN
ejpam-5944	292	2	12a	12a	NOUN
ejpam-5944	292	3	displays	display	VERB
ejpam-5944	292	4	the	the	DET
ejpam-5944	292	5	approximate	approximate	ADJ
ejpam-5944	292	6	solutions	solution	NOUN
ejpam-5944	292	7	for	for	ADP
ejpam-5944	292	8	various	various	ADJ
ejpam-5944	292	9	values	value	NOUN
ejpam-5944	292	10	of	of	ADP
ejpam-5944	292	11	β	β	PROPN
ejpam-5944	292	12	with	with	ADP
ejpam-5944	292	13	u0	u0	ADJ
ejpam-5944	292	14	=	=	NOUN
ejpam-5944	292	15	0.25	0.25	NUM
ejpam-5944	292	16	and	and	CCONJ
ejpam-5944	292	17	h	h	NOUN
ejpam-5944	293	1	=	=	NOUN
ejpam-5944	293	2	0.1	0.1	NUM
ejpam-5944	293	3	,	,	PUNCT
ejpam-5944	293	4	while	while	SCONJ
ejpam-5944	293	5	figure	figure	NOUN
ejpam-5944	293	6	12b	12b	NOUN
ejpam-5944	293	7	shows	show	VERB
ejpam-5944	293	8	the	the	DET
ejpam-5944	293	9	same	same	ADJ
ejpam-5944	293	10	for	for	ADP
ejpam-5944	293	11	h	h	NOUN
ejpam-5944	293	12	=	=	NOUN
ejpam-5944	293	13	0.01	0.01	NUM
ejpam-5944	293	14	.	.	PUNCT
ejpam-5944	294	1	the	the	DET
ejpam-5944	294	2	absolute	absolute	ADJ
ejpam-5944	294	3	error	error	NOUN
ejpam-5944	294	4	errorabs	errorab	NOUN
ejpam-5944	294	5	for	for	ADP
ejpam-5944	294	6	problem	problem	NOUN
ejpam-5944	294	7	3	3	NUM
ejpam-5944	294	8	with	with	ADP
ejpam-5944	294	9	β	β	X
ejpam-5944	294	10	=	=	SYM
ejpam-5944	294	11	1	1	NUM
ejpam-5944	294	12	is	be	AUX
ejpam-5944	294	13	illustrated	illustrate	VERB
ejpam-5944	294	14	in	in	ADP
ejpam-5944	294	15	figure	figure	NOUN
ejpam-5944	294	16	13a	13a	NOUN
ejpam-5944	294	17	for	for	ADP
ejpam-5944	294	18	h	h	NOUN
ejpam-5944	294	19	=	=	NOUN
ejpam-5944	294	20	0.01	0.01	NUM
ejpam-5944	294	21	,	,	PUNCT
ejpam-5944	294	22	and	and	CCONJ
ejpam-5944	294	23	in	in	ADP
ejpam-5944	294	24	figure	figure	NOUN
ejpam-5944	294	25	13b	13b	NOUN
ejpam-5944	294	26	for	for	ADP
ejpam-5944	294	27	a	a	DET
ejpam-5944	294	28	finer	fine	ADJ
ejpam-5944	294	29	step	step	NOUN
ejpam-5944	294	30	size	size	NOUN
ejpam-5944	294	31	h	h	NOUN
ejpam-5944	294	32	=	=	NOUN
ejpam-5944	294	33	0.0001	0.0001	NUM
ejpam-5944	294	34	.	.	PUNCT
ejpam-5944	294	35	table	table	NOUN
ejpam-5944	294	36	6	6	NUM
ejpam-5944	294	37	:	:	PUNCT
ejpam-5944	294	38	the	the	DET
ejpam-5944	294	39	numerical	numerical	ADJ
ejpam-5944	294	40	results	result	NOUN
ejpam-5944	294	41	for	for	ADP
ejpam-5944	294	42	problem	problem	NOUN
ejpam-5944	294	43	3	3	NUM
ejpam-5944	294	44	using	use	VERB
ejpam-5944	294	45	frk4	frk4	NOUN
ejpam-5944	294	46	method	method	NOUN
ejpam-5944	294	47	with	with	ADP
ejpam-5944	294	48	u0	u0	ADJ
ejpam-5944	294	49	=	=	NOUN
ejpam-5944	294	50	0.25	0.25	NUM
ejpam-5944	294	51	,	,	PUNCT
ejpam-5944	294	52	h	h	NOUN
ejpam-5944	294	53	=	=	NOUN
ejpam-5944	294	54	0.1	0.1	NUM
ejpam-5944	294	55	.	.	PUNCT
ejpam-5944	295	1	1	1	NUM
ejpam-5944	295	2	*	*	SYM
ejpam-5944	295	3	β	β	X
ejpam-5944	295	4	=	=	PUNCT
ejpam-5944	295	5	0.96	0.96	NUM
ejpam-5944	295	6	β	β	X
ejpam-5944	295	7	=	=	SYM
ejpam-5944	295	8	1	1	NUM
ejpam-5944	295	9	t	t	NOUN
ejpam-5944	295	10	uapprox	uapprox	ADJ
ejpam-5944	295	11	uexact	uexact	ADJ
ejpam-5944	295	12	errorabs	errorab	NOUN
ejpam-5944	295	13	uapprox	uapprox	ADJ
ejpam-5944	295	14	uexact	uexact	ADJ
ejpam-5944	295	15	errorabs	errorab	NOUN
ejpam-5944	295	16	0	0	NUM
ejpam-5944	295	17	0.2500	0.2500	NUM
ejpam-5944	295	18	0.2500	0.2500	NUM
ejpam-5944	295	19	0	0	NUM
ejpam-5944	295	20	0.2500	0.2500	NUM
ejpam-5944	295	21	0.2500	0.2500	NUM
ejpam-5944	295	22	0	0	NUM
ejpam-5944	295	23	0.1	0.1	NUM
ejpam-5944	295	24	0.2605	0.2605	NUM
ejpam-5944	295	25	0.2595	0.2595	NUM
ejpam-5944	295	26	1.9586×10−10	1.9586×10−10	NUM
ejpam-5944	295	27	0.2595	0.2595	NUM
ejpam-5944	295	28	0.2595	0.2595	NUM
ejpam-5944	295	29	1.1411×10−10	1.1411×10−10	NUM
ejpam-5944	295	30	0.2	0.2	NUM
ejpam-5944	295	31	0.2714	0.2714	NUM
ejpam-5944	295	32	0.2692	0.2692	NUM
ejpam-5944	295	33	6.0238×10−4	6.0238×10−4	NOUN
ejpam-5944	295	34	0.2691	0.2691	NUM
ejpam-5944	295	35	0.2692	0.2692	NUM
ejpam-5944	295	36	2.2664×10−10	2.2664×10−10	NUM
ejpam-5944	295	37	0.3	0.3	NUM
ejpam-5944	295	38	0.2825	0.2825	NUM
ejpam-5944	295	39	0.2792	0.2792	NUM
ejpam-5944	295	40	1.4551×10−3	1.4551×10−3	NUM
ejpam-5944	295	41	0.2790	0.2790	NUM
ejpam-5944	295	42	0.2792	0.2792	NUM
ejpam-5944	295	43	3.3717×10−10	3.3717×10−10	NUM
ejpam-5944	295	44	0.4	0.4	NUM
ejpam-5944	295	45	0.2939	0.2939	NUM
ejpam-5944	295	46	0.2893	0.2893	NUM
ejpam-5944	295	47	2.4901×10−3	2.4901×10−3	NUM
ejpam-5944	295	48	0.2892	0.2892	NUM
ejpam-5944	295	49	0.2893	0.2893	NUM
ejpam-5944	295	50	4.4531×10−10	4.4531×10−10	NUM
ejpam-5944	295	51	0.5	0.5	NUM
ejpam-5944	295	52	0.3055	0.3055	NUM
ejpam-5944	295	53	0.2997	0.2997	NUM
ejpam-5944	295	54	3.6755×10−3	3.6755×10−3	NUM
ejpam-5944	295	55	0.2995	0.2995	NUM
ejpam-5944	295	56	0.2997	0.2997	NUM
ejpam-5944	296	1	5.5068×10−10	5.5068×10−10	NUM
ejpam-5944	296	2	0.6	0.6	NUM
ejpam-5944	296	3	0.3174	0.3174	NUM
ejpam-5944	296	4	0.3103	0.3103	NUM
ejpam-5944	296	5	4.9920×10−3	4.9920×10−3	NUM
ejpam-5944	296	6	0.3101	0.3101	NUM
ejpam-5944	296	7	0.3103	0.3103	NUM
ejpam-5944	296	8	6.5295×10−10	6.5295×10−10	NUM
ejpam-5944	296	9	0.7	0.7	NUM
ejpam-5944	296	10	0.3296	0.3296	NUM
ejpam-5944	296	11	0.3211	0.3211	NUM
ejpam-5944	296	12	6.4259×10−3	6.4259×10−3	NUM
ejpam-5944	296	13	0.3208	0.3208	NUM
ejpam-5944	296	14	0.3211	0.3211	NUM
ejpam-5944	296	15	7.5182×10−10	7.5182×10−10	NUM
ejpam-5944	296	16	0.8	0.8	NUM
ejpam-5944	296	17	0.3420	0.3420	NUM
ejpam-5944	296	18	0.3321	0.3321	NUM
ejpam-5944	296	19	7.9661×10−3	7.9661×10−3	NUM
ejpam-5944	296	20	0.3318	0.3318	NUM
ejpam-5944	296	21	0.3321	0.3321	NUM
ejpam-5944	296	22	8.4701×10−10	8.4701×10−10	NUM
ejpam-5944	296	23	0.9	0.9	NUM
ejpam-5944	296	24	0.3546	0.3546	NUM
ejpam-5944	296	25	0.3433	0.3433	NUM
ejpam-5944	296	26	9.6030×10−3	9.6030×10−3	NUM
ejpam-5944	296	27	0.3430	0.3430	NUM
ejpam-5944	296	28	0.3433	0.3433	NUM
ejpam-5944	296	29	9.3832×10−10	9.3832×10−10	NUM
ejpam-5944	296	30	1	1	NUM
ejpam-5944	296	31	0.3674	0.3674	NUM
ejpam-5944	296	32	0.3547	0.3547	NUM
ejpam-5944	296	33	1.1327×10−2	1.1327×10−2	NUM
ejpam-5944	296	34	0.3543	0.3543	NUM
ejpam-5944	296	35	0.3547	0.3547	NUM
ejpam-5944	296	36	1.0256×10−9	1.0256×10−9	NUM
ejpam-5944	296	37	kamran	kamran	PROPN
ejpam-5944	296	38	et	et	PROPN
ejpam-5944	296	39	al	al	PROPN
ejpam-5944	296	40	.	.	PUNCT
ejpam-5944	296	41	/	/	SYM
ejpam-5944	296	42	eur	eur	PROPN
ejpam-5944	296	43	.	.	PUNCT
ejpam-5944	297	1	j.	j.	PROPN
ejpam-5944	297	2	pure	pure	PROPN
ejpam-5944	297	3	appl	appl	PROPN
ejpam-5944	297	4	.	.	PROPN
ejpam-5944	297	5	math	math	PROPN
ejpam-5944	297	6	,	,	PUNCT
ejpam-5944	297	7	18	18	NUM
ejpam-5944	297	8	(	(	PUNCT
ejpam-5944	297	9	2	2	NUM
ejpam-5944	297	10	)	)	PUNCT
ejpam-5944	297	11	(	(	PUNCT
ejpam-5944	297	12	2025	2025	NUM
ejpam-5944	297	13	)	)	PUNCT
ejpam-5944	297	14	,	,	PUNCT
ejpam-5944	297	15	5944	5944	NUM
ejpam-5944	297	16	20	20	NUM
ejpam-5944	297	17	of	of	ADP
ejpam-5944	297	18	32	32	NUM
ejpam-5944	297	19	table	table	NOUN
ejpam-5944	297	20	7	7	NUM
ejpam-5944	297	21	:	:	PUNCT
ejpam-5944	297	22	the	the	DET
ejpam-5944	297	23	numerical	numerical	ADJ
ejpam-5944	297	24	results	result	NOUN
ejpam-5944	297	25	for	for	ADP
ejpam-5944	297	26	problem	problem	NOUN
ejpam-5944	297	27	3	3	NUM
ejpam-5944	297	28	using	use	VERB
ejpam-5944	297	29	frk4	frk4	NOUN
ejpam-5944	297	30	method	method	NOUN
ejpam-5944	297	31	with	with	ADP
ejpam-5944	297	32	u0	u0	ADJ
ejpam-5944	297	33	=	=	NOUN
ejpam-5944	297	34	0.25	0.25	NUM
ejpam-5944	297	35	,	,	PUNCT
ejpam-5944	297	36	h	h	NOUN
ejpam-5944	297	37	=	=	NOUN
ejpam-5944	297	38	0.01	0.01	NUM
ejpam-5944	297	39	.	.	PUNCT
ejpam-5944	298	1	1	1	NUM
ejpam-5944	298	2	*	*	SYM
ejpam-5944	298	3	β	β	X
ejpam-5944	298	4	=	=	PUNCT
ejpam-5944	298	5	0.96	0.96	NUM
ejpam-5944	298	6	β	β	X
ejpam-5944	298	7	=	=	SYM
ejpam-5944	298	8	1	1	NUM
ejpam-5944	298	9	t	t	NOUN
ejpam-5944	298	10	uapprox	uapprox	ADJ
ejpam-5944	298	11	uexact	uexact	ADJ
ejpam-5944	298	12	errorabs	errorab	NOUN
ejpam-5944	298	13	uapprox	uapprox	ADJ
ejpam-5944	298	14	uexact	uexact	ADJ
ejpam-5944	298	15	errorabs	errorab	NOUN
ejpam-5944	298	16	0	0	NUM
ejpam-5944	298	17	0.2500	0.2500	NUM
ejpam-5944	298	18	0.2500	0.2500	NUM
ejpam-5944	298	19	0	0	NUM
ejpam-5944	298	20	0.2500	0.2500	NUM
ejpam-5944	298	21	0.2500	0.2500	NUM
ejpam-5944	298	22	0	0	NUM
ejpam-5944	298	23	0.1	0.1	NUM
ejpam-5944	298	24	0.2616	0.2616	NUM
ejpam-5944	298	25	0.2595	0.2595	NUM
ejpam-5944	298	26	1.0373×10−3	1.0373×10−3	NUM
ejpam-5944	298	27	0.2595	0.2595	NUM
ejpam-5944	298	28	0.2595	0.2595	NUM
ejpam-5944	298	29	1.1546×10−14	1.1546×10−14	NUM
ejpam-5944	298	30	0.2	0.2	NUM
ejpam-5944	298	31	0.2736	0.2736	NUM
ejpam-5944	298	32	0.2692	0.2692	NUM
ejpam-5944	298	33	2.7344×10−3	2.7344×10−3	NUM
ejpam-5944	298	34	0.2692	0.2692	NUM
ejpam-5944	298	35	0.2692	0.2692	NUM
ejpam-5944	298	36	2.2871×10−14	2.2871×10−14	NUM
ejpam-5944	298	37	0.3	0.3	NUM
ejpam-5944	298	38	0.2859	0.2859	NUM
ejpam-5944	298	39	0.2792	0.2792	NUM
ejpam-5944	298	40	4.7370×10−3	4.7370×10−3	NOUN
ejpam-5944	298	41	0.2792	0.2792	NUM
ejpam-5944	298	42	0.2792	0.2792	NUM
ejpam-5944	298	43	3.4084×10−14	3.4084×10−14	NUM
ejpam-5944	299	1	0.4	0.4	NUM
ejpam-5944	299	2	0.2985	0.2985	NUM
ejpam-5944	299	3	0.2893	0.2893	NUM
ejpam-5944	299	4	6.9745×10−3	6.9745×10−3	NUM
ejpam-5944	299	5	0.2893	0.2893	NUM
ejpam-5944	299	6	0.2893	0.2893	NUM
ejpam-5944	299	7	4.4964×10−14	4.4964×10−14	NUM
ejpam-5944	299	8	0.5	0.5	NUM
ejpam-5944	299	9	0.3115	0.3115	NUM
ejpam-5944	299	10	0.2997	0.2997	NUM
ejpam-5944	299	11	9.4118×10−3	9.4118×10−3	NUM
ejpam-5944	299	12	0.2997	0.2997	NUM
ejpam-5944	299	13	0.2997	0.2997	NUM
ejpam-5944	299	14	5.5567×10−14	5.5567×10−14	NUM
ejpam-5944	299	15	0.6	0.6	NUM
ejpam-5944	299	16	0.3247	0.3247	NUM
ejpam-5944	299	17	0.3103	0.3103	NUM
ejpam-5944	299	18	1.2026×10−2	1.2026×10−2	NUM
ejpam-5944	299	19	0.3103	0.3103	NUM
ejpam-5944	299	20	0.3103	0.3103	NUM
ejpam-5944	299	21	6.5892×10−14	6.5892×10−14	NUM
ejpam-5944	299	22	0.7	0.7	NUM
ejpam-5944	299	23	0.3383	0.3383	NUM
ejpam-5944	299	24	0.3211	0.3211	NUM
ejpam-5944	299	25	1.4799×10−2	1.4799×10−2	NUM
ejpam-5944	299	26	0.3211	0.3211	NUM
ejpam-5944	299	27	0.3211	0.3211	NUM
ejpam-5944	299	28	7.5884×10−14	7.5884×10−14	NUM
ejpam-5944	299	29	0.8	0.8	NUM
ejpam-5944	299	30	0.3521	0.3521	NUM
ejpam-5944	299	31	0.3321	0.3321	NUM
ejpam-5944	299	32	1.7715×10−2	1.7715×10−2	NUM
ejpam-5944	299	33	0.3321	0.3321	NUM
ejpam-5944	299	34	0.3321	0.3321	NUM
ejpam-5944	299	35	8.5487×10−14	8.5487×10−14	NUM
ejpam-5944	299	36	0.9	0.9	NUM
ejpam-5944	299	37	0.3661	0.3661	NUM
ejpam-5944	299	38	0.3433	0.3433	NUM
ejpam-5944	299	39	2.0760×10−2	2.0760×10−2	NUM
ejpam-5944	299	40	0.3433	0.3433	NUM
ejpam-5944	299	41	0.3433	0.3433	NUM
ejpam-5944	299	42	9.4702×10−14	9.4702×10−14	NUM
ejpam-5944	299	43	1	1	NUM
ejpam-5944	299	44	0.3804	0.3804	NUM
ejpam-5944	299	45	0.3547	0.3547	NUM
ejpam-5944	299	46	2.3917×10−2	2.3917×10−2	NUM
ejpam-5944	299	47	0.3546	0.3546	NUM
ejpam-5944	299	48	0.3547	0.3547	NUM
ejpam-5944	299	49	1.0347×10−13	1.0347×10−13	NUM
ejpam-5944	299	50	0	0	NUM
ejpam-5944	299	51	0.1	0.1	NUM
ejpam-5944	299	52	0.2	0.2	NUM
ejpam-5944	299	53	0.3	0.3	NUM
ejpam-5944	299	54	0.4	0.4	NUM
ejpam-5944	299	55	0.5	0.5	NUM
ejpam-5944	299	56	0.6	0.6	NUM
ejpam-5944	299	57	0.7	0.7	NUM
ejpam-5944	299	58	0.8	0.8	NUM
ejpam-5944	299	59	0.9	0.9	NUM
ejpam-5944	299	60	1	1	NUM
ejpam-5944	299	61	t	t	NOUN
ejpam-5944	299	62	0.24	0.24	NUM
ejpam-5944	299	63	0.26	0.26	NUM
ejpam-5944	299	64	0.28	0.28	NUM
ejpam-5944	299	65	0.3	0.3	NUM
ejpam-5944	299	66	0.32	0.32	NUM
ejpam-5944	299	67	0.34	0.34	NUM
ejpam-5944	299	68	0.36	0.36	NUM
ejpam-5944	299	69	u	u	NOUN
ejpam-5944	299	70	(	(	PUNCT
ejpam-5944	299	71	t	t	NOUN
ejpam-5944	299	72	)	)	PUNCT
ejpam-5944	299	73	frk4	frk4	PROPN
ejpam-5944	299	74	exact	exact	NOUN
ejpam-5944	299	75	(	(	PUNCT
ejpam-5944	299	76	a	a	X
ejpam-5944	299	77	)	)	PUNCT
ejpam-5944	299	78	0	0	NUM
ejpam-5944	299	79	0.1	0.1	NUM
ejpam-5944	299	80	0.2	0.2	NUM
ejpam-5944	299	81	0.3	0.3	NUM
ejpam-5944	299	82	0.4	0.4	NUM
ejpam-5944	299	83	0.5	0.5	NUM
ejpam-5944	299	84	0.6	0.6	NUM
ejpam-5944	299	85	0.7	0.7	NUM
ejpam-5944	299	86	0.8	0.8	NUM
ejpam-5944	299	87	0.9	0.9	NUM
ejpam-5944	299	88	1	1	NUM
ejpam-5944	299	89	t	t	NOUN
ejpam-5944	299	90	0.24	0.24	NUM
ejpam-5944	299	91	0.26	0.26	NUM
ejpam-5944	299	92	0.28	0.28	NUM
ejpam-5944	299	93	0.3	0.3	NUM
ejpam-5944	299	94	0.32	0.32	NUM
ejpam-5944	299	95	0.34	0.34	NUM
ejpam-5944	299	96	0.36	0.36	NUM
ejpam-5944	299	97	0.38	0.38	NUM
ejpam-5944	299	98	u	u	NOUN
ejpam-5944	299	99	(	(	PUNCT
ejpam-5944	299	100	t	t	PROPN
ejpam-5944	299	101	)	)	PUNCT
ejpam-5944	299	102	frk4	frk4	PROPN
ejpam-5944	299	103	exact	exact	ADJ
ejpam-5944	299	104	(	(	PUNCT
ejpam-5944	299	105	b	b	NOUN
ejpam-5944	299	106	)	)	PUNCT
ejpam-5944	299	107	figure	figure	NOUN
ejpam-5944	299	108	10	10	NUM
ejpam-5944	299	109	:	:	PUNCT
ejpam-5944	299	110	(	(	PUNCT
ejpam-5944	299	111	a	a	X
ejpam-5944	299	112	)	)	PUNCT
ejpam-5944	299	113	the	the	DET
ejpam-5944	299	114	exact	exact	ADJ
ejpam-5944	299	115	and	and	CCONJ
ejpam-5944	299	116	numerical	numerical	ADJ
ejpam-5944	299	117	solution	solution	NOUN
ejpam-5944	299	118	of	of	ADP
ejpam-5944	299	119	problem	problem	NOUN
ejpam-5944	299	120	3	3	NUM
ejpam-5944	299	121	using	use	VERB
ejpam-5944	299	122	frk4	frk4	NOUN
ejpam-5944	299	123	method	method	NOUN
ejpam-5944	299	124	with	with	ADP
ejpam-5944	299	125	u0	u0	ADJ
ejpam-5944	299	126	=	=	NOUN
ejpam-5944	299	127	0.25	0.25	NUM
ejpam-5944	299	128	,	,	PUNCT
ejpam-5944	299	129	h	h	NOUN
ejpam-5944	299	130	=	=	NOUN
ejpam-5944	299	131	0.1	0.1	NUM
ejpam-5944	299	132	,	,	PUNCT
ejpam-5944	299	133	β	β	X
ejpam-5944	299	134	=	=	SYM
ejpam-5944	299	135	1	1	X
ejpam-5944	299	136	.	.	PUNCT
ejpam-5944	300	1	the	the	DET
ejpam-5944	300	2	numerical	numerical	ADJ
ejpam-5944	300	3	solution	solution	NOUN
ejpam-5944	300	4	shows	show	VERB
ejpam-5944	300	5	good	good	ADJ
ejpam-5944	300	6	agreement	agreement	NOUN
ejpam-5944	300	7	with	with	ADP
ejpam-5944	300	8	the	the	DET
ejpam-5944	300	9	exact	exact	ADJ
ejpam-5944	300	10	solution	solution	NOUN
ejpam-5944	300	11	.	.	PUNCT
ejpam-5944	301	1	(	(	PUNCT
ejpam-5944	301	2	b	b	X
ejpam-5944	301	3	)	)	PUNCT
ejpam-5944	301	4	the	the	DET
ejpam-5944	301	5	exact	exact	ADJ
ejpam-5944	301	6	and	and	CCONJ
ejpam-5944	301	7	numerical	numerical	ADJ
ejpam-5944	301	8	solution	solution	NOUN
ejpam-5944	301	9	of	of	ADP
ejpam-5944	301	10	problem	problem	NOUN
ejpam-5944	301	11	3	3	NUM
ejpam-5944	301	12	using	use	VERB
ejpam-5944	301	13	the	the	DET
ejpam-5944	301	14	frk4	frk4	NOUN
ejpam-5944	301	15	method	method	NOUN
ejpam-5944	301	16	with	with	ADP
ejpam-5944	301	17	u0	u0	ADJ
ejpam-5944	301	18	=	=	NOUN
ejpam-5944	301	19	0.25	0.25	NUM
ejpam-5944	301	20	,	,	PUNCT
ejpam-5944	301	21	h	h	NOUN
ejpam-5944	301	22	=	=	NOUN
ejpam-5944	301	23	0.1	0.1	NUM
ejpam-5944	301	24	,	,	PUNCT
ejpam-5944	301	25	β	β	X
ejpam-5944	301	26	=	=	SYM
ejpam-5944	301	27	0.96	0.96	NUM
ejpam-5944	301	28	.	.	PUNCT
ejpam-5944	302	1	the	the	DET
ejpam-5944	302	2	slight	slight	ADJ
ejpam-5944	302	3	lag	lag	NOUN
ejpam-5944	302	4	observed	observe	VERB
ejpam-5944	302	5	in	in	ADP
ejpam-5944	302	6	the	the	DET
ejpam-5944	302	7	numerical	numerical	ADJ
ejpam-5944	302	8	solution	solution	NOUN
ejpam-5944	302	9	suggests	suggest	VERB
ejpam-5944	302	10	that	that	SCONJ
ejpam-5944	302	11	decreasing	decrease	VERB
ejpam-5944	302	12	β	β	X
ejpam-5944	302	13	delays	delay	NOUN
ejpam-5944	302	14	convergence	convergence	NOUN
ejpam-5944	302	15	to	to	ADP
ejpam-5944	302	16	the	the	DET
ejpam-5944	302	17	equilibrium	equilibrium	NOUN
ejpam-5944	302	18	point	point	NOUN
ejpam-5944	302	19	,	,	PUNCT
ejpam-5944	302	20	which	which	PRON
ejpam-5944	302	21	is	be	AUX
ejpam-5944	302	22	characteristic	characteristic	ADJ
ejpam-5944	302	23	of	of	ADP
ejpam-5944	302	24	populations	population	NOUN
ejpam-5944	302	25	under	under	ADP
ejpam-5944	302	26	limited	limited	ADJ
ejpam-5944	302	27	growth	growth	NOUN
ejpam-5944	302	28	conditions	condition	NOUN
ejpam-5944	302	29	.	.	PUNCT
ejpam-5944	303	1	kamran	kamran	PROPN
ejpam-5944	303	2	et	et	PROPN
ejpam-5944	303	3	al	al	PROPN
ejpam-5944	303	4	.	.	PUNCT
ejpam-5944	303	5	/	/	SYM
ejpam-5944	303	6	eur	eur	PROPN
ejpam-5944	303	7	.	.	PUNCT
ejpam-5944	304	1	j.	j.	PROPN
ejpam-5944	304	2	pure	pure	PROPN
ejpam-5944	304	3	appl	appl	PROPN
ejpam-5944	304	4	.	.	PROPN
ejpam-5944	304	5	math	math	PROPN
ejpam-5944	304	6	,	,	PUNCT
ejpam-5944	304	7	18	18	NUM
ejpam-5944	304	8	(	(	PUNCT
ejpam-5944	304	9	2	2	NUM
ejpam-5944	304	10	)	)	PUNCT
ejpam-5944	304	11	(	(	PUNCT
ejpam-5944	304	12	2025	2025	NUM
ejpam-5944	304	13	)	)	PUNCT
ejpam-5944	304	14	,	,	PUNCT
ejpam-5944	304	15	5944	5944	NUM
ejpam-5944	304	16	21	21	NUM
ejpam-5944	304	17	of	of	ADP
ejpam-5944	304	18	32	32	NUM
ejpam-5944	304	19	0	0	NUM
ejpam-5944	304	20	0.1	0.1	NUM
ejpam-5944	304	21	0.2	0.2	NUM
ejpam-5944	304	22	0.3	0.3	NUM
ejpam-5944	304	23	0.4	0.4	NUM
ejpam-5944	304	24	0.5	0.5	NUM
ejpam-5944	304	25	0.6	0.6	NUM
ejpam-5944	304	26	0.7	0.7	NUM
ejpam-5944	304	27	0.8	0.8	NUM
ejpam-5944	304	28	0.9	0.9	NUM
ejpam-5944	304	29	1	1	NUM
ejpam-5944	304	30	t	t	NOUN
ejpam-5944	304	31	0.24	0.24	NUM
ejpam-5944	304	32	0.26	0.26	NUM
ejpam-5944	304	33	0.28	0.28	NUM
ejpam-5944	304	34	0.3	0.3	NUM
ejpam-5944	304	35	0.32	0.32	NUM
ejpam-5944	304	36	0.34	0.34	NUM
ejpam-5944	304	37	0.36	0.36	NUM
ejpam-5944	304	38	u	u	NOUN
ejpam-5944	304	39	(	(	PUNCT
ejpam-5944	304	40	t	t	NOUN
ejpam-5944	304	41	)	)	PUNCT
ejpam-5944	304	42	frk4	frk4	PROPN
ejpam-5944	304	43	exact	exact	NOUN
ejpam-5944	304	44	(	(	PUNCT
ejpam-5944	304	45	a	a	X
ejpam-5944	304	46	)	)	PUNCT
ejpam-5944	304	47	0	0	NUM
ejpam-5944	304	48	0.1	0.1	NUM
ejpam-5944	304	49	0.2	0.2	NUM
ejpam-5944	304	50	0.3	0.3	NUM
ejpam-5944	304	51	0.4	0.4	NUM
ejpam-5944	304	52	0.5	0.5	NUM
ejpam-5944	304	53	0.6	0.6	NUM
ejpam-5944	304	54	0.7	0.7	NUM
ejpam-5944	304	55	0.8	0.8	NUM
ejpam-5944	304	56	0.9	0.9	NUM
ejpam-5944	304	57	1	1	NUM
ejpam-5944	304	58	t	t	NOUN
ejpam-5944	304	59	0.25	0.25	NUM
ejpam-5944	304	60	0.3	0.3	NUM
ejpam-5944	304	61	0.35	0.35	NUM
ejpam-5944	304	62	0.4	0.4	NUM
ejpam-5944	304	63	u	u	NOUN
ejpam-5944	304	64	(	(	PUNCT
ejpam-5944	304	65	t	t	PROPN
ejpam-5944	304	66	)	)	PUNCT
ejpam-5944	304	67	frk4	frk4	PROPN
ejpam-5944	304	68	exact	exact	ADJ
ejpam-5944	304	69	(	(	PUNCT
ejpam-5944	304	70	b	b	NOUN
ejpam-5944	304	71	)	)	PUNCT
ejpam-5944	304	72	figure	figure	NOUN
ejpam-5944	304	73	11	11	NUM
ejpam-5944	304	74	:	:	PUNCT
ejpam-5944	304	75	(	(	PUNCT
ejpam-5944	304	76	a	a	X
ejpam-5944	304	77	)	)	PUNCT
ejpam-5944	304	78	the	the	DET
ejpam-5944	304	79	approximate	approximate	ADJ
ejpam-5944	304	80	and	and	CCONJ
ejpam-5944	304	81	exact	exact	ADJ
ejpam-5944	304	82	solution	solution	NOUN
ejpam-5944	304	83	of	of	ADP
ejpam-5944	304	84	problem	problem	NOUN
ejpam-5944	304	85	3	3	NUM
ejpam-5944	304	86	using	use	VERB
ejpam-5944	304	87	the	the	DET
ejpam-5944	304	88	frk4	frk4	NOUN
ejpam-5944	304	89	method	method	NOUN
ejpam-5944	304	90	with	with	ADP
ejpam-5944	304	91	u0	u0	ADJ
ejpam-5944	304	92	=	=	NOUN
ejpam-5944	304	93	0.25	0.25	NUM
ejpam-5944	304	94	,	,	PUNCT
ejpam-5944	304	95	h	h	NOUN
ejpam-5944	305	1	=	=	NOUN
ejpam-5944	305	2	0.01	0.01	NUM
ejpam-5944	305	3	,	,	PUNCT
ejpam-5944	305	4	β	β	X
ejpam-5944	305	5	=	=	NOUN
ejpam-5944	305	6	1	1	X
ejpam-5944	305	7	.	.	PUNCT
ejpam-5944	306	1	the	the	DET
ejpam-5944	306	2	numerical	numerical	ADJ
ejpam-5944	306	3	results	result	NOUN
ejpam-5944	306	4	are	be	AUX
ejpam-5944	306	5	in	in	ADP
ejpam-5944	306	6	excellent	excellent	ADJ
ejpam-5944	306	7	agreement	agreement	NOUN
ejpam-5944	306	8	with	with	ADP
ejpam-5944	306	9	the	the	DET
ejpam-5944	306	10	exact	exact	ADJ
ejpam-5944	306	11	analytical	analytical	ADJ
ejpam-5944	306	12	solution	solution	NOUN
ejpam-5944	306	13	,	,	PUNCT
ejpam-5944	306	14	demonstrating	demonstrate	VERB
ejpam-5944	306	15	the	the	DET
ejpam-5944	306	16	accuracy	accuracy	NOUN
ejpam-5944	306	17	of	of	ADP
ejpam-5944	306	18	the	the	DET
ejpam-5944	306	19	proposed	propose	VERB
ejpam-5944	306	20	method	method	NOUN
ejpam-5944	306	21	.	.	PUNCT
ejpam-5944	307	1	(	(	PUNCT
ejpam-5944	307	2	b	b	X
ejpam-5944	307	3	)	)	PUNCT
ejpam-5944	307	4	the	the	DET
ejpam-5944	307	5	approximate	approximate	ADJ
ejpam-5944	307	6	and	and	CCONJ
ejpam-5944	307	7	exact	exact	ADJ
ejpam-5944	307	8	solutions	solution	NOUN
ejpam-5944	307	9	of	of	ADP
ejpam-5944	307	10	problem	problem	NOUN
ejpam-5944	307	11	3	3	NUM
ejpam-5944	307	12	using	use	VERB
ejpam-5944	307	13	the	the	DET
ejpam-5944	307	14	frk4	frk4	NOUN
ejpam-5944	307	15	method	method	NOUN
ejpam-5944	307	16	with	with	ADP
ejpam-5944	307	17	u0	u0	ADJ
ejpam-5944	307	18	=	=	NOUN
ejpam-5944	307	19	0.25	0.25	NUM
ejpam-5944	307	20	,	,	PUNCT
ejpam-5944	307	21	h	h	NOUN
ejpam-5944	308	1	=	=	NOUN
ejpam-5944	308	2	0.01	0.01	NUM
ejpam-5944	308	3	,	,	PUNCT
ejpam-5944	308	4	β	β	X
ejpam-5944	308	5	=	=	SYM
ejpam-5944	308	6	0.96	0.96	NUM
ejpam-5944	308	7	.	.	PUNCT
ejpam-5944	309	1	with	with	ADP
ejpam-5944	309	2	a	a	DET
ejpam-5944	309	3	smaller	small	ADJ
ejpam-5944	309	4	step	step	NOUN
ejpam-5944	309	5	size	size	NOUN
ejpam-5944	309	6	of	of	ADP
ejpam-5944	309	7	h	h	NOUN
ejpam-5944	309	8	=	=	NOUN
ejpam-5944	309	9	0.01	0.01	NUM
ejpam-5944	309	10	,	,	PUNCT
ejpam-5944	309	11	the	the	DET
ejpam-5944	309	12	approximate	approximate	ADJ
ejpam-5944	309	13	solution	solution	NOUN
ejpam-5944	309	14	shows	show	VERB
ejpam-5944	309	15	slightly	slightly	ADV
ejpam-5944	309	16	greater	great	ADJ
ejpam-5944	309	17	deviation	deviation	NOUN
ejpam-5944	309	18	.	.	PUNCT
ejpam-5944	310	1	0	0	NUM
ejpam-5944	310	2	0.1	0.1	NUM
ejpam-5944	310	3	0.2	0.2	NUM
ejpam-5944	310	4	0.3	0.3	NUM
ejpam-5944	310	5	0.4	0.4	NUM
ejpam-5944	310	6	0.5	0.5	NUM
ejpam-5944	310	7	0.6	0.6	NUM
ejpam-5944	310	8	0.7	0.7	NUM
ejpam-5944	310	9	0.8	0.8	NUM
ejpam-5944	310	10	0.9	0.9	NUM
ejpam-5944	310	11	1	1	NUM
ejpam-5944	310	12	t	t	NOUN
ejpam-5944	310	13	0.25	0.25	NUM
ejpam-5944	310	14	0.3	0.3	NUM
ejpam-5944	310	15	0.35	0.35	NUM
ejpam-5944	310	16	0.4	0.4	NUM
ejpam-5944	310	17	0.45	0.45	NUM
ejpam-5944	310	18	0.5	0.5	NUM
ejpam-5944	310	19	0.55	0.55	NUM
ejpam-5944	310	20	0.6	0.6	NUM
ejpam-5944	310	21	0.65	0.65	NUM
ejpam-5944	310	22	0.7	0.7	NUM
ejpam-5944	310	23	u	u	NOUN
ejpam-5944	310	24	(	(	PUNCT
ejpam-5944	310	25	t	t	PROPN
ejpam-5944	310	26	)	)	PUNCT
ejpam-5944	311	1	=	=	NOUN
ejpam-5944	311	2	0.5	0.5	NUM
ejpam-5944	311	3	=	=	SYM
ejpam-5944	311	4	0.6	0.6	NUM
ejpam-5944	311	5	=	=	NOUN
ejpam-5944	311	6	0.7	0.7	NUM
ejpam-5944	311	7	=	=	SYM
ejpam-5944	311	8	0.8	0.8	NUM
ejpam-5944	311	9	=	=	NUM
ejpam-5944	311	10	0.9	0.9	NUM
ejpam-5944	311	11	=	=	SYM
ejpam-5944	311	12	1	1	NUM
ejpam-5944	311	13	(	(	PUNCT
ejpam-5944	311	14	a	a	NOUN
ejpam-5944	311	15	)	)	PUNCT
ejpam-5944	311	16	0	0	NUM
ejpam-5944	311	17	0.1	0.1	NUM
ejpam-5944	311	18	0.2	0.2	NUM
ejpam-5944	311	19	0.3	0.3	NUM
ejpam-5944	311	20	0.4	0.4	NUM
ejpam-5944	311	21	0.5	0.5	NUM
ejpam-5944	311	22	0.6	0.6	NUM
ejpam-5944	311	23	0.7	0.7	NUM
ejpam-5944	311	24	0.8	0.8	NUM
ejpam-5944	311	25	0.9	0.9	NUM
ejpam-5944	311	26	1	1	NUM
ejpam-5944	311	27	t	t	NOUN
ejpam-5944	311	28	0.2	0.2	NUM
ejpam-5944	311	29	0.3	0.3	NUM
ejpam-5944	311	30	0.4	0.4	NUM
ejpam-5944	311	31	0.5	0.5	NUM
ejpam-5944	311	32	0.6	0.6	NUM
ejpam-5944	311	33	0.7	0.7	NUM
ejpam-5944	311	34	0.8	0.8	NUM
ejpam-5944	311	35	0.9	0.9	NUM
ejpam-5944	311	36	1	1	NUM
ejpam-5944	311	37	u	u	NOUN
ejpam-5944	311	38	(	(	PUNCT
ejpam-5944	311	39	t	t	PROPN
ejpam-5944	311	40	)	)	PUNCT
ejpam-5944	311	41	=	=	NOUN
ejpam-5944	311	42	0.5	0.5	NUM
ejpam-5944	311	43	=	=	SYM
ejpam-5944	311	44	0.6	0.6	NUM
ejpam-5944	311	45	=	=	NOUN
ejpam-5944	311	46	0.7	0.7	NUM
ejpam-5944	311	47	=	=	SYM
ejpam-5944	311	48	0.8	0.8	NUM
ejpam-5944	311	49	=	=	NUM
ejpam-5944	311	50	0.9	0.9	NUM
ejpam-5944	311	51	=	=	SYM
ejpam-5944	311	52	1	1	NUM
ejpam-5944	311	53	(	(	PUNCT
ejpam-5944	311	54	b	b	NOUN
ejpam-5944	311	55	)	)	PUNCT
ejpam-5944	311	56	figure	figure	NOUN
ejpam-5944	311	57	12	12	NUM
ejpam-5944	311	58	:	:	PUNCT
ejpam-5944	311	59	(	(	PUNCT
ejpam-5944	311	60	a	a	X
ejpam-5944	311	61	)	)	PUNCT
ejpam-5944	311	62	the	the	DET
ejpam-5944	311	63	numerical	numerical	ADJ
ejpam-5944	311	64	solutions	solution	NOUN
ejpam-5944	311	65	of	of	ADP
ejpam-5944	311	66	problem	problem	NOUN
ejpam-5944	311	67	3	3	NUM
ejpam-5944	311	68	using	use	VERB
ejpam-5944	311	69	frk4	frk4	NOUN
ejpam-5944	311	70	method	method	NOUN
ejpam-5944	311	71	with	with	ADP
ejpam-5944	311	72	u0	u0	ADJ
ejpam-5944	311	73	=	=	NOUN
ejpam-5944	311	74	0.25	0.25	NUM
ejpam-5944	311	75	,	,	PUNCT
ejpam-5944	311	76	h	h	NOUN
ejpam-5944	312	1	=	=	NOUN
ejpam-5944	312	2	0.1	0.1	NUM
ejpam-5944	312	3	using	use	VERB
ejpam-5944	312	4	different	different	ADJ
ejpam-5944	312	5	fractional	fractional	ADJ
ejpam-5944	312	6	orders	order	NOUN
ejpam-5944	312	7	β	β	NOUN
ejpam-5944	312	8	.	.	PUNCT
ejpam-5944	313	1	(	(	PUNCT
ejpam-5944	313	2	b	b	X
ejpam-5944	313	3	)	)	PUNCT
ejpam-5944	313	4	the	the	DET
ejpam-5944	313	5	numerical	numerical	ADJ
ejpam-5944	313	6	solutions	solution	NOUN
ejpam-5944	313	7	of	of	ADP
ejpam-5944	313	8	problem	problem	NOUN
ejpam-5944	313	9	3	3	NUM
ejpam-5944	313	10	using	use	VERB
ejpam-5944	313	11	frk4	frk4	NOUN
ejpam-5944	313	12	method	method	NOUN
ejpam-5944	313	13	with	with	ADP
ejpam-5944	313	14	u0	u0	ADJ
ejpam-5944	313	15	=	=	NOUN
ejpam-5944	313	16	0.25	0.25	NUM
ejpam-5944	313	17	,	,	PUNCT
ejpam-5944	313	18	h	h	NOUN
ejpam-5944	313	19	=	=	NOUN
ejpam-5944	313	20	0.01	0.01	NUM
ejpam-5944	313	21	using	use	VERB
ejpam-5944	313	22	different	different	ADJ
ejpam-5944	313	23	fractional	fractional	ADJ
ejpam-5944	313	24	orders	order	NOUN
ejpam-5944	313	25	β	β	NOUN
ejpam-5944	313	26	.	.	PUNCT
ejpam-5944	314	1	lower	low	ADJ
ejpam-5944	314	2	β	β	PROPN
ejpam-5944	314	3	values	value	NOUN
ejpam-5944	314	4	result	result	VERB
ejpam-5944	314	5	in	in	ADP
ejpam-5944	314	6	slower	slow	ADJ
ejpam-5944	314	7	growth	growth	NOUN
ejpam-5944	314	8	toward	toward	ADP
ejpam-5944	314	9	the	the	DET
ejpam-5944	314	10	equilibrium	equilibrium	NOUN
ejpam-5944	314	11	.	.	PUNCT
ejpam-5944	315	1	the	the	DET
ejpam-5944	315	2	smaller	small	ADJ
ejpam-5944	315	3	h	h	NOUN
ejpam-5944	315	4	in	in	ADP
ejpam-5944	315	5	figure	figure	NOUN
ejpam-5944	315	6	(	(	PUNCT
ejpam-5944	315	7	b	b	NOUN
ejpam-5944	315	8	)	)	PUNCT
ejpam-5944	315	9	produces	produce	VERB
ejpam-5944	315	10	smoother	smooth	ADJ
ejpam-5944	315	11	solutions	solution	NOUN
ejpam-5944	315	12	,	,	PUNCT
ejpam-5944	315	13	indicating	indicate	VERB
ejpam-5944	315	14	higher	high	ADJ
ejpam-5944	315	15	accuracy	accuracy	NOUN
ejpam-5944	315	16	.	.	PUNCT
ejpam-5944	316	1	kamran	kamran	PROPN
ejpam-5944	316	2	et	et	PROPN
ejpam-5944	316	3	al	al	PROPN
ejpam-5944	316	4	.	.	PUNCT
ejpam-5944	316	5	/	/	SYM
ejpam-5944	316	6	eur	eur	PROPN
ejpam-5944	316	7	.	.	PUNCT
ejpam-5944	317	1	j.	j.	PROPN
ejpam-5944	317	2	pure	pure	PROPN
ejpam-5944	317	3	appl	appl	PROPN
ejpam-5944	317	4	.	.	PROPN
ejpam-5944	317	5	math	math	PROPN
ejpam-5944	317	6	,	,	PUNCT
ejpam-5944	317	7	18	18	NUM
ejpam-5944	317	8	(	(	PUNCT
ejpam-5944	317	9	2	2	NUM
ejpam-5944	317	10	)	)	PUNCT
ejpam-5944	317	11	(	(	PUNCT
ejpam-5944	317	12	2025	2025	NUM
ejpam-5944	317	13	)	)	PUNCT
ejpam-5944	317	14	,	,	PUNCT
ejpam-5944	317	15	5944	5944	NUM
ejpam-5944	317	16	22	22	NUM
ejpam-5944	317	17	of	of	ADP
ejpam-5944	317	18	32	32	NUM
ejpam-5944	317	19	0	0	NUM
ejpam-5944	317	20	0.1	0.1	NUM
ejpam-5944	317	21	0.2	0.2	NUM
ejpam-5944	317	22	0.3	0.3	NUM
ejpam-5944	317	23	0.4	0.4	NUM
ejpam-5944	317	24	0.5	0.5	NUM
ejpam-5944	317	25	0.6	0.6	NUM
ejpam-5944	317	26	0.7	0.7	NUM
ejpam-5944	317	27	0.8	0.8	NUM
ejpam-5944	317	28	0.9	0.9	NUM
ejpam-5944	317	29	1	1	NUM
ejpam-5944	317	30	t	t	NOUN
ejpam-5944	317	31	0	0	NUM
ejpam-5944	317	32	0.2	0.2	NUM
ejpam-5944	317	33	0.4	0.4	NUM
ejpam-5944	317	34	0.6	0.6	NUM
ejpam-5944	317	35	0.8	0.8	NUM
ejpam-5944	317	36	1	1	NUM
ejpam-5944	317	37	1.2	1.2	NUM
ejpam-5944	317	38	e	e	NOUN
ejpam-5944	317	39	r	r	NOUN
ejpam-5944	317	40	r	r	NOUN
ejpam-5944	317	41	o	o	NOUN
ejpam-5944	317	42	r	r	NOUN
ejpam-5944	317	43	a	a	PRON
ejpam-5944	317	44	b	b	NOUN
ejpam-5944	317	45	s	s	NOUN
ejpam-5944	317	46	10	10	NUM
ejpam-5944	317	47	-13	-13	SYM
ejpam-5944	317	48	(	(	PUNCT
ejpam-5944	317	49	a	a	X
ejpam-5944	317	50	)	)	PUNCT
ejpam-5944	317	51	0	0	NUM
ejpam-5944	318	1	0.1	0.1	NUM
ejpam-5944	318	2	0.2	0.2	NUM
ejpam-5944	318	3	0.3	0.3	NUM
ejpam-5944	318	4	0.4	0.4	NUM
ejpam-5944	318	5	0.5	0.5	NUM
ejpam-5944	318	6	0.6	0.6	NUM
ejpam-5944	318	7	0.7	0.7	NUM
ejpam-5944	318	8	0.8	0.8	NUM
ejpam-5944	318	9	0.9	0.9	NUM
ejpam-5944	318	10	1	1	NUM
ejpam-5944	318	11	t	t	NOUN
ejpam-5944	318	12	0	0	NUM
ejpam-5944	318	13	0.5	0.5	NUM
ejpam-5944	318	14	1	1	NUM
ejpam-5944	318	15	1.5	1.5	NUM
ejpam-5944	318	16	2	2	NUM
ejpam-5944	318	17	2.5	2.5	NUM
ejpam-5944	318	18	e	e	NOUN
ejpam-5944	318	19	r	r	NOUN
ejpam-5944	318	20	r	r	NOUN
ejpam-5944	318	21	o	o	NOUN
ejpam-5944	318	22	r	r	NOUN
ejpam-5944	318	23	a	a	PRON
ejpam-5944	318	24	b	b	NOUN
ejpam-5944	318	25	s	s	PROPN
ejpam-5944	318	26	10	10	NUM
ejpam-5944	318	27	-15	-15	NUM
ejpam-5944	318	28	(	(	PUNCT
ejpam-5944	318	29	b	b	NOUN
ejpam-5944	318	30	)	)	PUNCT
ejpam-5944	318	31	figure	figure	NOUN
ejpam-5944	318	32	13	13	NUM
ejpam-5944	318	33	:	:	PUNCT
ejpam-5944	318	34	(	(	PUNCT
ejpam-5944	318	35	a	a	X
ejpam-5944	318	36	)	)	PUNCT
ejpam-5944	318	37	the	the	DET
ejpam-5944	318	38	errorabs	errorab	NOUN
ejpam-5944	318	39	of	of	ADP
ejpam-5944	318	40	frk4	frk4	NOUN
ejpam-5944	318	41	for	for	ADP
ejpam-5944	318	42	problem	problem	NOUN
ejpam-5944	318	43	3	3	NUM
ejpam-5944	318	44	with	with	ADP
ejpam-5944	318	45	u0	u0	ADJ
ejpam-5944	318	46	=	=	NOUN
ejpam-5944	318	47	0.25	0.25	NUM
ejpam-5944	318	48	,	,	PUNCT
ejpam-5944	318	49	h	h	NOUN
ejpam-5944	318	50	=	=	NOUN
ejpam-5944	318	51	0.01	0.01	NUM
ejpam-5944	318	52	and	and	CCONJ
ejpam-5944	318	53	orders	order	NOUN
ejpam-5944	318	54	β	β	X
ejpam-5944	318	55	=	=	SYM
ejpam-5944	318	56	1	1	X
ejpam-5944	318	57	.	.	PUNCT
ejpam-5944	319	1	(	(	PUNCT
ejpam-5944	319	2	b	b	X
ejpam-5944	319	3	)	)	PUNCT
ejpam-5944	319	4	the	the	DET
ejpam-5944	319	5	errorabs	errorab	NOUN
ejpam-5944	319	6	of	of	ADP
ejpam-5944	319	7	frk4	frk4	NOUN
ejpam-5944	319	8	for	for	ADP
ejpam-5944	319	9	problem	problem	NOUN
ejpam-5944	319	10	3	3	NUM
ejpam-5944	319	11	with	with	ADP
ejpam-5944	319	12	u0	u0	ADJ
ejpam-5944	319	13	=	=	NOUN
ejpam-5944	319	14	0.25	0.25	NUM
ejpam-5944	319	15	,	,	PUNCT
ejpam-5944	319	16	h	h	NOUN
ejpam-5944	319	17	=	=	NOUN
ejpam-5944	319	18	0.0001	0.0001	NUM
ejpam-5944	319	19	and	and	CCONJ
ejpam-5944	319	20	orders	order	NOUN
ejpam-5944	319	21	β	β	X
ejpam-5944	319	22	=	=	SYM
ejpam-5944	319	23	1	1	X
ejpam-5944	319	24	.	.	PUNCT
ejpam-5944	320	1	the	the	DET
ejpam-5944	320	2	profiles	profile	NOUN
ejpam-5944	320	3	indicate	indicate	VERB
ejpam-5944	320	4	that	that	SCONJ
ejpam-5944	320	5	the	the	DET
ejpam-5944	320	6	error	error	NOUN
ejpam-5944	320	7	further	far	ADV
ejpam-5944	320	8	reduced	reduce	VERB
ejpam-5944	320	9	with	with	ADP
ejpam-5944	320	10	h	h	NOUN
ejpam-5944	320	11	=	=	SYM
ejpam-5944	320	12	0.0001	0.0001	NUM
ejpam-5944	320	13	,	,	PUNCT
ejpam-5944	320	14	demonstrating	demonstrate	VERB
ejpam-5944	320	15	the	the	DET
ejpam-5944	320	16	robustness	robustness	NOUN
ejpam-5944	320	17	of	of	ADP
ejpam-5944	320	18	the	the	DET
ejpam-5944	320	19	method	method	NOUN
ejpam-5944	320	20	.	.	PUNCT
ejpam-5944	321	1	4.2	4.2	NUM
ejpam-5944	321	2	.	.	PUNCT
ejpam-5944	321	3	problem	problem	NOUN
ejpam-5944	321	4	4	4	NUM
ejpam-5944	321	5	here	here	ADV
ejpam-5944	321	6	we	we	PRON
ejpam-5944	321	7	consider	consider	VERB
ejpam-5944	321	8	the	the	DET
ejpam-5944	321	9	quadratic	quadratic	ADJ
ejpam-5944	321	10	fractional	fractional	ADJ
ejpam-5944	321	11	logistic	logistic	ADJ
ejpam-5944	321	12	growth	growth	NOUN
ejpam-5944	321	13	model	model	NOUN
ejpam-5944	321	14	.	.	PUNCT
ejpam-5944	322	1	c	c	PROPN
ejpam-5944	322	2	0dβ	0dβ	PROPN
ejpam-5944	322	3	t	t	PROPN
ejpam-5944	322	4	u(t	u(t	PROPN
ejpam-5944	322	5	)	)	PUNCT
ejpam-5944	322	6	=	=	SYM
ejpam-5944	322	7	1	1	NUM
ejpam-5944	322	8	2u(t)(1	2u(t)(1	NUM
ejpam-5944	322	9	−	−	ADP
ejpam-5944	322	10	u(t	u(t	NOUN
ejpam-5944	322	11	)	)	PUNCT
ejpam-5944	322	12	)	)	PUNCT
ejpam-5944	322	13	,	,	PUNCT
ejpam-5944	322	14	(	(	PUNCT
ejpam-5944	322	15	4.4	4.4	NUM
ejpam-5944	322	16	)	)	PUNCT
ejpam-5944	322	17	with	with	ADP
ejpam-5944	322	18	the	the	DET
ejpam-5944	322	19	initial	initial	ADJ
ejpam-5944	322	20	condition	condition	NOUN
ejpam-5944	322	21	u0	u0	NOUN
ejpam-5944	322	22	=	=	NOUN
ejpam-5944	322	23	0.5	0.5	NUM
ejpam-5944	322	24	.	.	PUNCT
ejpam-5944	323	1	the	the	DET
ejpam-5944	323	2	exact	exact	ADJ
ejpam-5944	323	3	solution	solution	NOUN
ejpam-5944	323	4	of	of	ADP
ejpam-5944	323	5	the	the	DET
ejpam-5944	323	6	problem	problem	NOUN
ejpam-5944	323	7	for	for	ADP
ejpam-5944	323	8	β	β	NOUN
ejpam-5944	323	9	=	=	SYM
ejpam-5944	323	10	1	1	NUM
ejpam-5944	323	11	is	be	AUX
ejpam-5944	323	12	given	give	VERB
ejpam-5944	323	13	as	as	ADP
ejpam-5944	323	14	u(t	u(t	NOUN
ejpam-5944	323	15	)	)	PUNCT
ejpam-5944	324	1	=	=	PUNCT
ejpam-5944	324	2	e	e	X
ejpam-5944	324	3	t	t	PROPN
ejpam-5944	324	4	2	2	NUM
ejpam-5944	324	5	e	e	NOUN
ejpam-5944	324	6	t	t	NOUN
ejpam-5944	324	7	2	2	NUM
ejpam-5944	324	8	+1	+1	NOUN
ejpam-5944	324	9	.	.	PUNCT
ejpam-5944	325	1	using	use	VERB
ejpam-5944	325	2	theorem	theorem	NOUN
ejpam-5944	325	3	4.5	4.5	NUM
ejpam-5944	325	4	the	the	DET
ejpam-5944	325	5	exact	exact	ADJ
ejpam-5944	325	6	solution	solution	NOUN
ejpam-5944	325	7	of	of	ADP
ejpam-5944	325	8	the	the	DET
ejpam-5944	325	9	given	give	VERB
ejpam-5944	325	10	problem	problem	NOUN
ejpam-5944	325	11	for	for	ADP
ejpam-5944	325	12	non	non	ADJ
ejpam-5944	325	13	-	-	ADJ
ejpam-5944	325	14	integer	integer	ADJ
ejpam-5944	325	15	value	value	NOUN
ejpam-5944	325	16	of	of	ADP
ejpam-5944	325	17	β	β	PROPN
ejpam-5944	325	18	will	will	AUX
ejpam-5944	325	19	be	be	AUX
ejpam-5944	325	20	of	of	ADP
ejpam-5944	325	21	the	the	DET
ejpam-5944	325	22	form	form	NOUN
ejpam-5944	325	23	u(t	u(t	NOUN
ejpam-5944	325	24	)	)	PUNCT
ejpam-5944	326	1	=	=	SYM
ejpam-5944	326	2	e	e	X
ejpam-5944	326	3	(	(	PUNCT
ejpam-5944	326	4	tβ	tβ	PROPN
ejpam-5944	326	5	2γ(β+1	2γ(β+1	NUM
ejpam-5944	326	6	)	)	PUNCT
ejpam-5944	326	7	)	)	PUNCT
ejpam-5944	327	1	e	e	X
ejpam-5944	327	2	(	(	PUNCT
ejpam-5944	327	3	tβ	tβ	PROPN
ejpam-5944	327	4	2γ(β+1	2γ(β+1	NUM
ejpam-5944	327	5	)	)	PUNCT
ejpam-5944	327	6	)	)	PUNCT
ejpam-5944	328	1	+	+	CCONJ
ejpam-5944	328	2	1	1	NUM
ejpam-5944	328	3	the	the	DET
ejpam-5944	328	4	results	result	NOUN
ejpam-5944	328	5	obtained	obtain	VERB
ejpam-5944	328	6	using	use	VERB
ejpam-5944	328	7	the	the	DET
ejpam-5944	328	8	frk4	frk4	NOUN
ejpam-5944	328	9	method	method	NOUN
ejpam-5944	328	10	for	for	ADP
ejpam-5944	328	11	fractional	fractional	ADJ
ejpam-5944	328	12	orders	order	NOUN
ejpam-5944	328	13	β	β	NOUN
ejpam-5944	328	14	=	=	SYM
ejpam-5944	328	15	1	1	NUM
ejpam-5944	328	16	and	and	CCONJ
ejpam-5944	328	17	β	β	X
ejpam-5944	328	18	=	=	NOUN
ejpam-5944	328	19	0.96	0.96	NUM
ejpam-5944	328	20	,	,	PUNCT
ejpam-5944	328	21	with	with	ADP
ejpam-5944	328	22	u0	u0	ADJ
ejpam-5944	328	23	=	=	ADJ
ejpam-5944	328	24	0.5	0.5	NUM
ejpam-5944	328	25	and	and	CCONJ
ejpam-5944	328	26	h	h	NOUN
ejpam-5944	328	27	=	=	NOUN
ejpam-5944	328	28	0.1	0.1	NUM
ejpam-5944	328	29	,	,	PUNCT
ejpam-5944	328	30	are	be	AUX
ejpam-5944	328	31	presented	present	VERB
ejpam-5944	328	32	in	in	ADP
ejpam-5944	328	33	table	table	NOUN
ejpam-5944	328	34	8	8	NUM
ejpam-5944	328	35	.	.	PUNCT
ejpam-5944	329	1	additionally	additionally	ADV
ejpam-5944	329	2	,	,	PUNCT
ejpam-5944	329	3	table	table	NOUN
ejpam-5944	329	4	9	9	NUM
ejpam-5944	329	5	presents	present	VERB
ejpam-5944	329	6	the	the	DET
ejpam-5944	329	7	results	result	NOUN
ejpam-5944	329	8	for	for	ADP
ejpam-5944	329	9	the	the	DET
ejpam-5944	329	10	same	same	ADJ
ejpam-5944	329	11	fractional	fractional	ADJ
ejpam-5944	329	12	orders	order	NOUN
ejpam-5944	329	13	with	with	ADP
ejpam-5944	329	14	u0	u0	ADJ
ejpam-5944	329	15	=	=	PROPN
ejpam-5944	329	16	0.5	0.5	NUM
ejpam-5944	329	17	and	and	CCONJ
ejpam-5944	329	18	a	a	DET
ejpam-5944	329	19	finer	fine	ADJ
ejpam-5944	329	20	step	step	NOUN
ejpam-5944	329	21	size	size	NOUN
ejpam-5944	329	22	h	h	NOUN
ejpam-5944	329	23	=	=	NOUN
ejpam-5944	329	24	0.01	0.01	NUM
ejpam-5944	329	25	.	.	PUNCT
ejpam-5944	330	1	figures	figure	NOUN
ejpam-5944	330	2	14a	14a	NOUN
ejpam-5944	330	3	and	and	CCONJ
ejpam-5944	330	4	14b	14b	NUM
ejpam-5944	330	5	show	show	VERB
ejpam-5944	330	6	the	the	DET
ejpam-5944	330	7	plots	plot	NOUN
ejpam-5944	330	8	of	of	ADP
ejpam-5944	330	9	numerical	numerical	ADJ
ejpam-5944	330	10	and	and	CCONJ
ejpam-5944	330	11	exact	exact	ADJ
ejpam-5944	330	12	solutions	solution	NOUN
ejpam-5944	330	13	for	for	ADP
ejpam-5944	330	14	β	β	X
ejpam-5944	330	15	=	=	SYM
ejpam-5944	330	16	1	1	NUM
ejpam-5944	330	17	and	and	CCONJ
ejpam-5944	330	18	β	β	X
ejpam-5944	330	19	=	=	SYM
ejpam-5944	330	20	0.96	0.96	NUM
ejpam-5944	330	21	,	,	PUNCT
ejpam-5944	330	22	respectively	respectively	ADV
ejpam-5944	330	23	,	,	PUNCT
ejpam-5944	330	24	using	use	VERB
ejpam-5944	330	25	u0	u0	ADJ
ejpam-5944	330	26	=	=	PROPN
ejpam-5944	330	27	0.5	0.5	NUM
ejpam-5944	330	28	and	and	CCONJ
ejpam-5944	330	29	h	h	NOUN
ejpam-5944	330	30	=	=	NOUN
ejpam-5944	330	31	0.1	0.1	NUM
ejpam-5944	330	32	.	.	PUNCT
ejpam-5944	331	1	similarly	similarly	ADV
ejpam-5944	331	2	,	,	PUNCT
ejpam-5944	331	3	figures	figure	VERB
ejpam-5944	331	4	15a	15a	NOUN
ejpam-5944	331	5	and	and	CCONJ
ejpam-5944	331	6	15b	15b	NOUN
ejpam-5944	331	7	depict	depict	VERB
ejpam-5944	331	8	the	the	DET
ejpam-5944	331	9	corresponding	corresponding	ADJ
ejpam-5944	331	10	plots	plot	NOUN
ejpam-5944	331	11	for	for	ADP
ejpam-5944	331	12	h	h	NOUN
ejpam-5944	331	13	=	=	NOUN
ejpam-5944	331	14	0.01	0.01	NUM
ejpam-5944	331	15	.	.	PUNCT
ejpam-5944	332	1	figure	figure	NOUN
ejpam-5944	332	2	16a	16a	NOUN
ejpam-5944	332	3	illustrates	illustrate	VERB
ejpam-5944	332	4	the	the	DET
ejpam-5944	332	5	approximate	approximate	ADJ
ejpam-5944	332	6	solutions	solution	NOUN
ejpam-5944	332	7	for	for	ADP
ejpam-5944	332	8	various	various	ADJ
ejpam-5944	332	9	values	value	NOUN
ejpam-5944	332	10	of	of	ADP
ejpam-5944	332	11	β	β	PROPN
ejpam-5944	332	12	with	with	ADP
ejpam-5944	332	13	u0	u0	ADJ
ejpam-5944	332	14	=	=	NOUN
ejpam-5944	332	15	0.5	0.5	NUM
ejpam-5944	332	16	and	and	CCONJ
ejpam-5944	332	17	h	h	NOUN
ejpam-5944	333	1	=	=	NOUN
ejpam-5944	333	2	0.01	0.01	NUM
ejpam-5944	333	3	,	,	PUNCT
ejpam-5944	333	4	while	while	SCONJ
ejpam-5944	333	5	figure	figure	NOUN
ejpam-5944	333	6	16b	16b	PROPN
ejpam-5944	333	7	shows	show	VERB
ejpam-5944	333	8	the	the	DET
ejpam-5944	333	9	same	same	ADJ
ejpam-5944	333	10	for	for	ADP
ejpam-5944	333	11	h	h	NOUN
ejpam-5944	333	12	=	=	NOUN
ejpam-5944	333	13	0.1	0.1	NUM
ejpam-5944	333	14	.	.	PUNCT
ejpam-5944	334	1	the	the	DET
ejpam-5944	334	2	absolute	absolute	ADJ
ejpam-5944	334	3	error	error	NOUN
ejpam-5944	334	4	errorabs	errorab	NOUN
ejpam-5944	334	5	for	for	ADP
ejpam-5944	334	6	problem	problem	NOUN
ejpam-5944	334	7	4	4	NUM
ejpam-5944	334	8	with	with	ADP
ejpam-5944	334	9	β	β	X
ejpam-5944	334	10	=	=	SYM
ejpam-5944	334	11	1	1	NUM
ejpam-5944	334	12	is	be	AUX
ejpam-5944	334	13	plotted	plot	VERB
ejpam-5944	334	14	in	in	ADP
ejpam-5944	334	15	figure	figure	NOUN
ejpam-5944	334	16	17a	17a	PROPN
ejpam-5944	334	17	kamran	kamran	PROPN
ejpam-5944	334	18	et	et	PROPN
ejpam-5944	334	19	al	al	PROPN
ejpam-5944	334	20	.	.	PUNCT
ejpam-5944	334	21	/	/	SYM
ejpam-5944	334	22	eur	eur	PROPN
ejpam-5944	334	23	.	.	PUNCT
ejpam-5944	335	1	j.	j.	PROPN
ejpam-5944	335	2	pure	pure	PROPN
ejpam-5944	335	3	appl	appl	PROPN
ejpam-5944	335	4	.	.	PROPN
ejpam-5944	335	5	math	math	PROPN
ejpam-5944	335	6	,	,	PUNCT
ejpam-5944	335	7	18	18	NUM
ejpam-5944	335	8	(	(	PUNCT
ejpam-5944	335	9	2	2	NUM
ejpam-5944	335	10	)	)	PUNCT
ejpam-5944	335	11	(	(	PUNCT
ejpam-5944	335	12	2025	2025	NUM
ejpam-5944	335	13	)	)	PUNCT
ejpam-5944	335	14	,	,	PUNCT
ejpam-5944	335	15	5944	5944	NUM
ejpam-5944	335	16	23	23	NUM
ejpam-5944	335	17	of	of	ADP
ejpam-5944	335	18	32	32	NUM
ejpam-5944	335	19	for	for	ADP
ejpam-5944	335	20	h	h	NOUN
ejpam-5944	335	21	=	=	NOUN
ejpam-5944	335	22	0.01	0.01	NUM
ejpam-5944	335	23	,	,	PUNCT
ejpam-5944	335	24	and	and	CCONJ
ejpam-5944	335	25	for	for	ADP
ejpam-5944	335	26	problem	problem	NOUN
ejpam-5944	335	27	3	3	NUM
ejpam-5944	335	28	in	in	ADP
ejpam-5944	335	29	figure	figure	NOUN
ejpam-5944	335	30	17b	17b	NOUN
ejpam-5944	335	31	with	with	ADP
ejpam-5944	335	32	h	h	NOUN
ejpam-5944	335	33	=	=	SYM
ejpam-5944	335	34	0.0001	0.0001	NUM
ejpam-5944	335	35	.	.	PUNCT
ejpam-5944	335	36	table	table	NOUN
ejpam-5944	335	37	8	8	NUM
ejpam-5944	335	38	:	:	PUNCT
ejpam-5944	335	39	the	the	DET
ejpam-5944	335	40	numerical	numerical	ADJ
ejpam-5944	335	41	results	result	NOUN
ejpam-5944	335	42	for	for	ADP
ejpam-5944	335	43	problem	problem	NOUN
ejpam-5944	335	44	4	4	NUM
ejpam-5944	335	45	using	use	VERB
ejpam-5944	335	46	frk4	frk4	NOUN
ejpam-5944	335	47	method	method	NOUN
ejpam-5944	335	48	with	with	ADP
ejpam-5944	335	49	u0	u0	ADJ
ejpam-5944	335	50	=	=	NOUN
ejpam-5944	335	51	0.5	0.5	NUM
ejpam-5944	335	52	,	,	PUNCT
ejpam-5944	335	53	h	h	NOUN
ejpam-5944	335	54	=	=	NOUN
ejpam-5944	335	55	0.1	0.1	NUM
ejpam-5944	335	56	.	.	PUNCT
ejpam-5944	336	1	1	1	NUM
ejpam-5944	336	2	*	*	SYM
ejpam-5944	336	3	β	β	X
ejpam-5944	336	4	=	=	PUNCT
ejpam-5944	336	5	0.96	0.96	NUM
ejpam-5944	336	6	β	β	X
ejpam-5944	336	7	=	=	SYM
ejpam-5944	336	8	1	1	NUM
ejpam-5944	336	9	t	t	NOUN
ejpam-5944	336	10	uapprox	uapprox	ADJ
ejpam-5944	336	11	uexact	uexact	ADJ
ejpam-5944	336	12	errorabs	errorab	NOUN
ejpam-5944	336	13	uapprox	uapprox	ADJ
ejpam-5944	336	14	uexact	uexact	ADJ
ejpam-5944	336	15	errorabs	errorab	NOUN
ejpam-5944	337	1	0	0	NUM
ejpam-5944	337	2	0.5000	0.5000	NUM
ejpam-5944	337	3	0.5000	0.5000	NUM
ejpam-5944	337	4	0	0	NUM
ejpam-5944	337	5	0.5000	0.5000	NUM
ejpam-5944	337	6	0.5000	0.5000	NUM
ejpam-5944	337	7	0	0	NUM
ejpam-5944	337	8	0.1	0.1	NUM
ejpam-5944	337	9	0.5139	0.5139	NUM
ejpam-5944	337	10	0.5125	0.5125	NUM
ejpam-5944	337	11	7.0019×10−11	7.0019×10−11	NUM
ejpam-5944	338	1	0.5125	0.5125	NUM
ejpam-5944	338	2	0.5125	0.5125	NUM
ejpam-5944	338	3	4.0700×10−11	4.0700×10−11	NUM
ejpam-5944	338	4	0.2	0.2	NUM
ejpam-5944	338	5	0.5278	0.5278	NUM
ejpam-5944	338	6	0.5250	0.5250	NUM
ejpam-5944	338	7	7.5967×10−4	7.5967×10−4	NOUN
ejpam-5944	338	8	0.5250	0.5250	NUM
ejpam-5944	338	9	0.5250	0.5250	NUM
ejpam-5944	338	10	8.1672×10−11	8.1672×10−11	NUM
ejpam-5944	338	11	0.3	0.3	NUM
ejpam-5944	338	12	0.5417	0.5417	NUM
ejpam-5944	338	13	0.5374	0.5374	NUM
ejpam-5944	338	14	1.7850×10−3	1.7850×10−3	NUM
ejpam-5944	338	15	0.5374	0.5374	NUM
ejpam-5944	338	16	0.5374	0.5374	NUM
ejpam-5944	338	17	1.2327×10−10	1.2327×10−10	NUM
ejpam-5944	338	18	0.4	0.4	NUM
ejpam-5944	338	19	0.5555	0.5555	NUM
ejpam-5944	338	20	0.5498	0.5498	NUM
ejpam-5944	338	21	2.9711×10−3	2.9711×10−3	NUM
ejpam-5944	338	22	0.5499	0.5499	NUM
ejpam-5944	338	23	0.5498	0.5498	NUM
ejpam-5944	338	24	1.6584×10−10	1.6584×10−10	NUM
ejpam-5944	338	25	0.5	0.5	NUM
ejpam-5944	338	26	0.5693	0.5693	NUM
ejpam-5944	338	27	0.5622	0.5622	NUM
ejpam-5944	338	28	4.2652×10−3	4.2652×10−3	NUM
ejpam-5944	338	29	0.5622	0.5622	NUM
ejpam-5944	338	30	0.5622	0.5622	NUM
ejpam-5944	338	31	2.0971×10−10	2.0971×10−10	NUM
ejpam-5944	338	32	0.6	0.6	NUM
ejpam-5944	338	33	0.5829	0.5829	NUM
ejpam-5944	338	34	0.5744	0.5744	NUM
ejpam-5944	338	35	5.6335×10−3	5.6335×10−3	NUM
ejpam-5944	338	36	0.5745	0.5745	NUM
ejpam-5944	338	37	0.5744	0.5744	NUM
ejpam-5944	338	38	2.5520×10−10	2.5520×10−10	NUM
ejpam-5944	338	39	0.7	0.7	NUM
ejpam-5944	338	40	0.5964	0.5964	NUM
ejpam-5944	338	41	0.5866	0.5866	NUM
ejpam-5944	338	42	7.0516×10−3	7.0516×10−3	NUM
ejpam-5944	338	43	0.5867	0.5867	NUM
ejpam-5944	338	44	0.5866	0.5866	NUM
ejpam-5944	338	45	3.0260×10−10	3.0260×10−10	NUM
ejpam-5944	338	46	0.8	0.8	NUM
ejpam-5944	338	47	0.6098	0.6098	NUM
ejpam-5944	338	48	0.5987	0.5987	NUM
ejpam-5944	338	49	8.5003×10−3	8.5003×10−3	NUM
ejpam-5944	338	50	0.5988	0.5988	NUM
ejpam-5944	338	51	0.5987	0.5987	NUM
ejpam-5944	338	52	3.5216×10−10	3.5216×10−10	NUM
ejpam-5944	338	53	0.9	0.9	NUM
ejpam-5944	338	54	0.6230	0.6230	NUM
ejpam-5944	338	55	0.6106	0.6106	NUM
ejpam-5944	338	56	9.9637×10−3	9.9637×10−3	NUM
ejpam-5944	338	57	0.6107	0.6107	NUM
ejpam-5944	338	58	0.6106	0.6106	NUM
ejpam-5944	338	59	4.0412×10−10	4.0412×10−10	NUM
ejpam-5944	338	60	1	1	NUM
ejpam-5944	338	61	0.6360	0.6360	NUM
ejpam-5944	338	62	0.6225	0.6225	NUM
ejpam-5944	339	1	1.1428×10−2	1.1428×10−2	NUM
ejpam-5944	339	2	0.6226	0.6226	NUM
ejpam-5944	339	3	0.6225	0.6225	NUM
ejpam-5944	339	4	4.5866×10−10	4.5866×10−10	NUM
ejpam-5944	339	5	table	table	NOUN
ejpam-5944	339	6	9	9	NUM
ejpam-5944	339	7	:	:	PUNCT
ejpam-5944	339	8	the	the	DET
ejpam-5944	339	9	numerical	numerical	ADJ
ejpam-5944	339	10	results	result	NOUN
ejpam-5944	339	11	for	for	ADP
ejpam-5944	339	12	problem	problem	NOUN
ejpam-5944	339	13	4	4	NUM
ejpam-5944	339	14	using	use	VERB
ejpam-5944	339	15	frk4	frk4	NOUN
ejpam-5944	339	16	method	method	NOUN
ejpam-5944	339	17	with	with	ADP
ejpam-5944	339	18	u0	u0	ADJ
ejpam-5944	339	19	=	=	NOUN
ejpam-5944	339	20	0.5	0.5	NUM
ejpam-5944	339	21	,	,	PUNCT
ejpam-5944	339	22	h	h	NOUN
ejpam-5944	339	23	=	=	NOUN
ejpam-5944	339	24	0.01	0.01	NUM
ejpam-5944	339	25	.	.	PUNCT
ejpam-5944	340	1	1	1	NUM
ejpam-5944	340	2	*	*	SYM
ejpam-5944	340	3	β	β	X
ejpam-5944	340	4	=	=	PUNCT
ejpam-5944	340	5	0.96	0.96	NUM
ejpam-5944	340	6	β	β	X
ejpam-5944	340	7	=	=	SYM
ejpam-5944	340	8	1	1	NUM
ejpam-5944	340	9	t	t	NOUN
ejpam-5944	340	10	uapprox	uapprox	ADJ
ejpam-5944	340	11	uexact	uexact	ADJ
ejpam-5944	340	12	errorabs	errorab	NOUN
ejpam-5944	340	13	uapprox	uapprox	ADJ
ejpam-5944	340	14	uexact	uexact	ADJ
ejpam-5944	340	15	errorabs	errorab	NOUN
ejpam-5944	341	1	0	0	NUM
ejpam-5944	341	2	0.5000	0.5000	NUM
ejpam-5944	341	3	0.5000	0.5000	NUM
ejpam-5944	341	4	0	0	NUM
ejpam-5944	341	5	0.5000	0.5000	NUM
ejpam-5944	341	6	0.5000	0.5000	NUM
ejpam-5944	341	7	0	0	NUM
ejpam-5944	341	8	0.1	0.1	NUM
ejpam-5944	341	9	0.5153	0.5153	NUM
ejpam-5944	341	10	0.5125	0.5125	NUM
ejpam-5944	341	11	1.3430×10−3	1.3430×10−3	NUM
ejpam-5944	341	12	0.5125	0.5125	NUM
ejpam-5944	341	13	0.5125	0.5125	NUM
ejpam-5944	341	14	3.8858×10−15	3.8858×10−15	NUM
ejpam-5944	341	15	0.2	0.2	NUM
ejpam-5944	341	16	0.5305	0.5305	NUM
ejpam-5944	341	17	0.5250	0.5250	NUM
ejpam-5944	341	18	3.4389×10−3	3.4389×10−3	NUM
ejpam-5944	341	19	0.5250	0.5250	NUM
ejpam-5944	341	20	0.5250	0.5250	NUM
ejpam-5944	341	21	7.8826×10−15	7.8826×10−15	NUM
ejpam-5944	341	22	0.3	0.3	NUM
ejpam-5944	341	23	0.5457	0.5457	NUM
ejpam-5944	341	24	0.5374	0.5374	NUM
ejpam-5944	341	25	5.7867×10−3	5.7867×10−3	NUM
ejpam-5944	341	26	0.5374	0.5374	NUM
ejpam-5944	341	27	0.5374	0.5374	NUM
ejpam-5944	341	28	1.1879×10−14	1.1879×10−14	NUM
ejpam-5944	341	29	0.4	0.4	NUM
ejpam-5944	341	30	0.5608	0.5608	NUM
ejpam-5944	341	31	0.5498	0.5498	NUM
ejpam-5944	341	32	8.2751×10−3	8.2751×10−3	NUM
ejpam-5944	341	33	0.5498	0.5498	NUM
ejpam-5944	341	34	0.5498	0.5498	NUM
ejpam-5944	341	35	1.6098×10−14	1.6098×10−14	NUM
ejpam-5944	341	36	0.5	0.5	NUM
ejpam-5944	341	37	0.5758	0.5758	NUM
ejpam-5944	341	38	0.5622	0.5622	NUM
ejpam-5944	342	1	1.0845×10−2	1.0845×10−2	NUM
ejpam-5944	342	2	0.5622	0.5622	NUM
ejpam-5944	342	3	0.5622	0.5622	NUM
ejpam-5944	342	4	2.0428×10−14	2.0428×10−14	NUM
ejpam-5944	342	5	0.6	0.6	NUM
ejpam-5944	342	6	0.5907	0.5907	NUM
ejpam-5944	342	7	0.5744	0.5744	NUM
ejpam-5944	342	8	1.3456×10−2	1.3456×10−2	NUM
ejpam-5944	342	9	0.5744	0.5744	NUM
ejpam-5944	342	10	0.5744	0.5744	NUM
ejpam-5944	342	11	2.5091×10−14	2.5091×10−14	NUM
ejpam-5944	342	12	0.7	0.7	NUM
ejpam-5944	342	13	0.6053	0.6053	NUM
ejpam-5944	342	14	0.5866	0.5866	NUM
ejpam-5944	342	15	1.6078×10−2	1.6078×10−2	NUM
ejpam-5944	342	16	0.5866	0.5866	NUM
ejpam-5944	343	1	0.5866	0.5866	NUM
ejpam-5944	343	2	2.9754×10−14	2.9754×10−14	NUM
ejpam-5944	343	3	0.8	0.8	NUM
ejpam-5944	343	4	0.6199	0.6199	NUM
ejpam-5944	343	5	0.5987	0.5987	NUM
ejpam-5944	343	6	1.8687×10−2	1.8687×10−2	NUM
ejpam-5944	343	7	0.5987	0.5987	NUM
ejpam-5944	343	8	0.5987	0.5987	NUM
ejpam-5944	343	9	3.4750×10−14	3.4750×10−14	NUM
ejpam-5944	343	10	0.9	0.9	NUM
ejpam-5944	343	11	0.6341	0.6341	NUM
ejpam-5944	343	12	0.6106	0.6106	NUM
ejpam-5944	343	13	2.1262×10−2	2.1262×10−2	NUM
ejpam-5944	343	14	0.6106	0.6106	NUM
ejpam-5944	343	15	0.6106	0.6106	NUM
ejpam-5944	343	16	3.9746×10−14	3.9746×10−14	NUM
ejpam-5944	343	17	1	1	NUM
ejpam-5944	343	18	0.6482	0.6482	NUM
ejpam-5944	343	19	0.6225	0.6225	NUM
ejpam-5944	344	1	2.3785×10−2	2.3785×10−2	NUM
ejpam-5944	344	2	0.6225	0.6225	NUM
ejpam-5944	344	3	0.6225	0.6225	NUM
ejpam-5944	345	1	4.5408×10−14	4.5408×10−14	NUM
ejpam-5944	345	2	kamran	kamran	PROPN
ejpam-5944	345	3	et	et	PROPN
ejpam-5944	345	4	al	al	PROPN
ejpam-5944	345	5	.	.	PUNCT
ejpam-5944	345	6	/	/	SYM
ejpam-5944	345	7	eur	eur	PROPN
ejpam-5944	345	8	.	.	PUNCT
ejpam-5944	346	1	j.	j.	PROPN
ejpam-5944	346	2	pure	pure	PROPN
ejpam-5944	346	3	appl	appl	PROPN
ejpam-5944	346	4	.	.	PROPN
ejpam-5944	346	5	math	math	PROPN
ejpam-5944	346	6	,	,	PUNCT
ejpam-5944	346	7	18	18	NUM
ejpam-5944	346	8	(	(	PUNCT
ejpam-5944	346	9	2	2	NUM
ejpam-5944	346	10	)	)	PUNCT
ejpam-5944	346	11	(	(	PUNCT
ejpam-5944	346	12	2025	2025	NUM
ejpam-5944	346	13	)	)	PUNCT
ejpam-5944	346	14	,	,	PUNCT
ejpam-5944	346	15	5944	5944	NUM
ejpam-5944	346	16	24	24	NUM
ejpam-5944	346	17	of	of	ADP
ejpam-5944	346	18	32	32	NUM
ejpam-5944	346	19	0	0	NUM
ejpam-5944	346	20	0.1	0.1	NUM
ejpam-5944	346	21	0.2	0.2	NUM
ejpam-5944	346	22	0.3	0.3	NUM
ejpam-5944	346	23	0.4	0.4	NUM
ejpam-5944	346	24	0.5	0.5	NUM
ejpam-5944	346	25	0.6	0.6	NUM
ejpam-5944	346	26	0.7	0.7	NUM
ejpam-5944	346	27	0.8	0.8	NUM
ejpam-5944	346	28	0.9	0.9	NUM
ejpam-5944	346	29	1	1	NUM
ejpam-5944	346	30	t	t	NOUN
ejpam-5944	346	31	0.5	0.5	NUM
ejpam-5944	346	32	0.52	0.52	NUM
ejpam-5944	346	33	0.54	0.54	NUM
ejpam-5944	346	34	0.56	0.56	NUM
ejpam-5944	346	35	0.58	0.58	NUM
ejpam-5944	346	36	0.6	0.6	NUM
ejpam-5944	346	37	0.62	0.62	NUM
ejpam-5944	346	38	0.64	0.64	NUM
ejpam-5944	346	39	u	u	NOUN
ejpam-5944	346	40	(	(	PUNCT
ejpam-5944	346	41	t	t	NOUN
ejpam-5944	346	42	)	)	PUNCT
ejpam-5944	346	43	frk4	frk4	PROPN
ejpam-5944	346	44	exact	exact	NOUN
ejpam-5944	346	45	(	(	PUNCT
ejpam-5944	346	46	a	a	X
ejpam-5944	346	47	)	)	PUNCT
ejpam-5944	346	48	0	0	NUM
ejpam-5944	346	49	0.1	0.1	NUM
ejpam-5944	346	50	0.2	0.2	NUM
ejpam-5944	346	51	0.3	0.3	NUM
ejpam-5944	346	52	0.4	0.4	NUM
ejpam-5944	346	53	0.5	0.5	NUM
ejpam-5944	346	54	0.6	0.6	NUM
ejpam-5944	346	55	0.7	0.7	NUM
ejpam-5944	346	56	0.8	0.8	NUM
ejpam-5944	346	57	0.9	0.9	NUM
ejpam-5944	346	58	1	1	NUM
ejpam-5944	346	59	t	t	NOUN
ejpam-5944	346	60	0.5	0.5	NUM
ejpam-5944	346	61	0.52	0.52	NUM
ejpam-5944	346	62	0.54	0.54	NUM
ejpam-5944	346	63	0.56	0.56	NUM
ejpam-5944	346	64	0.58	0.58	NUM
ejpam-5944	346	65	0.6	0.6	NUM
ejpam-5944	346	66	0.62	0.62	NUM
ejpam-5944	346	67	0.64	0.64	NUM
ejpam-5944	346	68	u	u	NOUN
ejpam-5944	346	69	(	(	PUNCT
ejpam-5944	346	70	t	t	NOUN
ejpam-5944	346	71	)	)	PUNCT
ejpam-5944	346	72	frk4	frk4	PROPN
ejpam-5944	346	73	exact	exact	ADJ
ejpam-5944	346	74	(	(	PUNCT
ejpam-5944	346	75	b	b	NOUN
ejpam-5944	346	76	)	)	PUNCT
ejpam-5944	346	77	figure	figure	NOUN
ejpam-5944	346	78	14	14	NUM
ejpam-5944	346	79	:	:	PUNCT
ejpam-5944	346	80	(	(	PUNCT
ejpam-5944	346	81	a	a	X
ejpam-5944	346	82	)	)	PUNCT
ejpam-5944	346	83	the	the	DET
ejpam-5944	346	84	approximate	approximate	ADJ
ejpam-5944	346	85	and	and	CCONJ
ejpam-5944	346	86	exact	exact	ADJ
ejpam-5944	346	87	solutions	solution	NOUN
ejpam-5944	346	88	of	of	ADP
ejpam-5944	346	89	problem	problem	NOUN
ejpam-5944	346	90	4	4	NUM
ejpam-5944	346	91	using	use	VERB
ejpam-5944	346	92	the	the	DET
ejpam-5944	346	93	frk4	frk4	NOUN
ejpam-5944	346	94	method	method	NOUN
ejpam-5944	346	95	with	with	ADP
ejpam-5944	346	96	u0	u0	ADJ
ejpam-5944	346	97	=	=	NOUN
ejpam-5944	346	98	0.5	0.5	NUM
ejpam-5944	346	99	,	,	PUNCT
ejpam-5944	346	100	h	h	NOUN
ejpam-5944	346	101	=	=	NOUN
ejpam-5944	346	102	0.1	0.1	NUM
ejpam-5944	346	103	,	,	PUNCT
ejpam-5944	346	104	β	β	X
ejpam-5944	346	105	=	=	SYM
ejpam-5944	346	106	1	1	X
ejpam-5944	346	107	.	.	PUNCT
ejpam-5944	347	1	the	the	DET
ejpam-5944	347	2	approximate	approximate	ADJ
ejpam-5944	347	3	solution	solution	NOUN
ejpam-5944	347	4	is	be	AUX
ejpam-5944	347	5	nearly	nearly	ADV
ejpam-5944	347	6	indistinguishable	indistinguishable	ADJ
ejpam-5944	347	7	from	from	ADP
ejpam-5944	347	8	the	the	DET
ejpam-5944	347	9	exact	exact	ADJ
ejpam-5944	347	10	solution	solution	NOUN
ejpam-5944	347	11	.	.	PUNCT
ejpam-5944	348	1	(	(	PUNCT
ejpam-5944	348	2	b	b	X
ejpam-5944	348	3	)	)	PUNCT
ejpam-5944	348	4	the	the	DET
ejpam-5944	348	5	approximate	approximate	ADJ
ejpam-5944	348	6	and	and	CCONJ
ejpam-5944	348	7	exact	exact	ADJ
ejpam-5944	348	8	solutions	solution	NOUN
ejpam-5944	348	9	of	of	ADP
ejpam-5944	348	10	problem	problem	NOUN
ejpam-5944	348	11	4	4	NUM
ejpam-5944	348	12	using	use	VERB
ejpam-5944	348	13	the	the	DET
ejpam-5944	348	14	frk4	frk4	NOUN
ejpam-5944	348	15	method	method	NOUN
ejpam-5944	348	16	with	with	ADP
ejpam-5944	348	17	u0	u0	ADJ
ejpam-5944	348	18	=	=	NOUN
ejpam-5944	348	19	0.5	0.5	NUM
ejpam-5944	348	20	,	,	PUNCT
ejpam-5944	348	21	h	h	NOUN
ejpam-5944	348	22	=	=	NOUN
ejpam-5944	348	23	0.1	0.1	NUM
ejpam-5944	348	24	,	,	PUNCT
ejpam-5944	348	25	β	β	X
ejpam-5944	348	26	=	=	SYM
ejpam-5944	348	27	0.96	0.96	NUM
ejpam-5944	348	28	.	.	PUNCT
ejpam-5944	349	1	the	the	DET
ejpam-5944	349	2	figure	figure	NOUN
ejpam-5944	349	3	shows	show	VERB
ejpam-5944	349	4	a	a	DET
ejpam-5944	349	5	minor	minor	ADJ
ejpam-5944	349	6	deviation	deviation	NOUN
ejpam-5944	349	7	for	for	ADP
ejpam-5944	349	8	beta	beta	NOUN
ejpam-5944	349	9	=	=	NOUN
ejpam-5944	349	10	0.96	0.96	NUM
ejpam-5944	349	11	,	,	PUNCT
ejpam-5944	349	12	reflecting	reflect	VERB
ejpam-5944	349	13	memory	memory	NOUN
ejpam-5944	349	14	effects	effect	NOUN
ejpam-5944	349	15	that	that	PRON
ejpam-5944	349	16	slow	slow	VERB
ejpam-5944	349	17	growth	growth	NOUN
ejpam-5944	349	18	,	,	PUNCT
ejpam-5944	349	19	highlighting	highlight	VERB
ejpam-5944	349	20	the	the	DET
ejpam-5944	349	21	frk4	frk4	NOUN
ejpam-5944	349	22	’s	’s	PART
ejpam-5944	349	23	effectiveness	effectiveness	NOUN
ejpam-5944	349	24	in	in	ADP
ejpam-5944	349	25	capturing	capture	VERB
ejpam-5944	349	26	fractional	fractional	ADJ
ejpam-5944	349	27	dynamics	dynamic	NOUN
ejpam-5944	349	28	.	.	PUNCT
ejpam-5944	350	1	0	0	NUM
ejpam-5944	350	2	0.1	0.1	NUM
ejpam-5944	350	3	0.2	0.2	NUM
ejpam-5944	350	4	0.3	0.3	NUM
ejpam-5944	350	5	0.4	0.4	NUM
ejpam-5944	350	6	0.5	0.5	NUM
ejpam-5944	350	7	0.6	0.6	NUM
ejpam-5944	350	8	0.7	0.7	NUM
ejpam-5944	350	9	0.8	0.8	NUM
ejpam-5944	350	10	0.9	0.9	NUM
ejpam-5944	350	11	1	1	NUM
ejpam-5944	350	12	t	t	NOUN
ejpam-5944	350	13	0.5	0.5	NUM
ejpam-5944	350	14	0.52	0.52	NUM
ejpam-5944	350	15	0.54	0.54	NUM
ejpam-5944	350	16	0.56	0.56	NUM
ejpam-5944	350	17	0.58	0.58	NUM
ejpam-5944	350	18	0.6	0.6	NUM
ejpam-5944	350	19	0.62	0.62	NUM
ejpam-5944	350	20	0.64	0.64	NUM
ejpam-5944	350	21	u	u	NOUN
ejpam-5944	350	22	(	(	PUNCT
ejpam-5944	350	23	t	t	NOUN
ejpam-5944	350	24	)	)	PUNCT
ejpam-5944	350	25	frk4	frk4	PROPN
ejpam-5944	350	26	exact	exact	NOUN
ejpam-5944	350	27	(	(	PUNCT
ejpam-5944	350	28	a	a	X
ejpam-5944	350	29	)	)	PUNCT
ejpam-5944	350	30	0	0	NUM
ejpam-5944	350	31	0.1	0.1	NUM
ejpam-5944	350	32	0.2	0.2	NUM
ejpam-5944	350	33	0.3	0.3	NUM
ejpam-5944	350	34	0.4	0.4	NUM
ejpam-5944	350	35	0.5	0.5	NUM
ejpam-5944	350	36	0.6	0.6	NUM
ejpam-5944	350	37	0.7	0.7	NUM
ejpam-5944	350	38	0.8	0.8	NUM
ejpam-5944	350	39	0.9	0.9	NUM
ejpam-5944	350	40	1	1	NUM
ejpam-5944	350	41	t	t	NOUN
ejpam-5944	350	42	0.5	0.5	NUM
ejpam-5944	350	43	0.55	0.55	NUM
ejpam-5944	350	44	0.6	0.6	NUM
ejpam-5944	350	45	0.65	0.65	NUM
ejpam-5944	350	46	u	u	NOUN
ejpam-5944	350	47	(	(	PUNCT
ejpam-5944	350	48	t	t	NOUN
ejpam-5944	350	49	)	)	PUNCT
ejpam-5944	350	50	frk4	frk4	PROPN
ejpam-5944	350	51	exact	exact	ADJ
ejpam-5944	350	52	(	(	PUNCT
ejpam-5944	350	53	b	b	NOUN
ejpam-5944	350	54	)	)	PUNCT
ejpam-5944	350	55	figure	figure	NOUN
ejpam-5944	350	56	15	15	NUM
ejpam-5944	350	57	:	:	PUNCT
ejpam-5944	350	58	(	(	PUNCT
ejpam-5944	350	59	a	a	X
ejpam-5944	350	60	)	)	PUNCT
ejpam-5944	350	61	the	the	DET
ejpam-5944	350	62	approximate	approximate	ADJ
ejpam-5944	350	63	and	and	CCONJ
ejpam-5944	350	64	exact	exact	ADJ
ejpam-5944	350	65	solutions	solution	NOUN
ejpam-5944	350	66	of	of	ADP
ejpam-5944	350	67	problem	problem	NOUN
ejpam-5944	350	68	4	4	NUM
ejpam-5944	350	69	using	use	VERB
ejpam-5944	350	70	the	the	DET
ejpam-5944	350	71	frk4	frk4	NOUN
ejpam-5944	350	72	method	method	NOUN
ejpam-5944	350	73	with	with	ADP
ejpam-5944	350	74	u0	u0	ADJ
ejpam-5944	350	75	=	=	NOUN
ejpam-5944	350	76	0.5	0.5	NUM
ejpam-5944	350	77	,	,	PUNCT
ejpam-5944	350	78	h	h	NOUN
ejpam-5944	350	79	=	=	NOUN
ejpam-5944	350	80	0.01	0.01	NUM
ejpam-5944	350	81	,	,	PUNCT
ejpam-5944	350	82	β	β	X
ejpam-5944	350	83	=	=	NOUN
ejpam-5944	350	84	1	1	X
ejpam-5944	350	85	.	.	PUNCT
ejpam-5944	351	1	the	the	DET
ejpam-5944	351	2	approximate	approximate	ADJ
ejpam-5944	351	3	and	and	CCONJ
ejpam-5944	351	4	exact	exact	ADJ
ejpam-5944	351	5	solutions	solution	NOUN
ejpam-5944	351	6	are	be	AUX
ejpam-5944	351	7	in	in	ADP
ejpam-5944	351	8	good	good	ADJ
ejpam-5944	351	9	agreement	agreement	NOUN
ejpam-5944	351	10	.	.	PUNCT
ejpam-5944	352	1	(	(	PUNCT
ejpam-5944	352	2	b	b	X
ejpam-5944	352	3	)	)	PUNCT
ejpam-5944	352	4	the	the	DET
ejpam-5944	352	5	approximate	approximate	ADJ
ejpam-5944	352	6	and	and	CCONJ
ejpam-5944	352	7	exact	exact	ADJ
ejpam-5944	352	8	solutions	solution	NOUN
ejpam-5944	352	9	of	of	ADP
ejpam-5944	352	10	problem	problem	NOUN
ejpam-5944	352	11	4	4	NUM
ejpam-5944	352	12	using	use	VERB
ejpam-5944	352	13	the	the	DET
ejpam-5944	352	14	frk4	frk4	NOUN
ejpam-5944	352	15	method	method	NOUN
ejpam-5944	352	16	with	with	ADP
ejpam-5944	352	17	u0	u0	ADJ
ejpam-5944	352	18	=	=	NOUN
ejpam-5944	352	19	0.5	0.5	NUM
ejpam-5944	352	20	,	,	PUNCT
ejpam-5944	352	21	h	h	NOUN
ejpam-5944	352	22	=	=	NOUN
ejpam-5944	352	23	0.01	0.01	NUM
ejpam-5944	352	24	,	,	PUNCT
ejpam-5944	352	25	β	β	X
ejpam-5944	352	26	=	=	SYM
ejpam-5944	352	27	0.96	0.96	NUM
ejpam-5944	352	28	.	.	PUNCT
ejpam-5944	353	1	a	a	DET
ejpam-5944	353	2	smaller	small	ADJ
ejpam-5944	353	3	step	step	NOUN
ejpam-5944	353	4	size	size	NOUN
ejpam-5944	353	5	h	h	NOUN
ejpam-5944	353	6	leads	lead	VERB
ejpam-5944	353	7	to	to	ADP
ejpam-5944	353	8	a	a	DET
ejpam-5944	353	9	slightly	slightly	ADV
ejpam-5944	353	10	greater	great	ADJ
ejpam-5944	353	11	deviation	deviation	NOUN
ejpam-5944	353	12	in	in	ADP
ejpam-5944	353	13	the	the	DET
ejpam-5944	353	14	approximate	approximate	ADJ
ejpam-5944	353	15	solution	solution	NOUN
ejpam-5944	353	16	,	,	PUNCT
ejpam-5944	353	17	as	as	SCONJ
ejpam-5944	353	18	observed	observe	VERB
ejpam-5944	353	19	in	in	ADP
ejpam-5944	353	20	the	the	DET
ejpam-5944	353	21	numerical	numerical	ADJ
ejpam-5944	353	22	results	result	NOUN
ejpam-5944	353	23	.	.	PUNCT
ejpam-5944	354	1	kamran	kamran	PROPN
ejpam-5944	354	2	et	et	PROPN
ejpam-5944	354	3	al	al	PROPN
ejpam-5944	354	4	.	.	PUNCT
ejpam-5944	354	5	/	/	SYM
ejpam-5944	354	6	eur	eur	PROPN
ejpam-5944	354	7	.	.	PUNCT
ejpam-5944	355	1	j.	j.	PROPN
ejpam-5944	355	2	pure	pure	PROPN
ejpam-5944	355	3	appl	appl	PROPN
ejpam-5944	355	4	.	.	PROPN
ejpam-5944	355	5	math	math	PROPN
ejpam-5944	355	6	,	,	PUNCT
ejpam-5944	355	7	18	18	NUM
ejpam-5944	355	8	(	(	PUNCT
ejpam-5944	355	9	2	2	NUM
ejpam-5944	355	10	)	)	PUNCT
ejpam-5944	355	11	(	(	PUNCT
ejpam-5944	355	12	2025	2025	NUM
ejpam-5944	355	13	)	)	PUNCT
ejpam-5944	355	14	,	,	PUNCT
ejpam-5944	355	15	5944	5944	NUM
ejpam-5944	355	16	25	25	NUM
ejpam-5944	355	17	of	of	ADP
ejpam-5944	355	18	32	32	NUM
ejpam-5944	355	19	0	0	NUM
ejpam-5944	355	20	0.1	0.1	NUM
ejpam-5944	355	21	0.2	0.2	NUM
ejpam-5944	355	22	0.3	0.3	NUM
ejpam-5944	355	23	0.4	0.4	NUM
ejpam-5944	355	24	0.5	0.5	NUM
ejpam-5944	355	25	0.6	0.6	NUM
ejpam-5944	355	26	0.7	0.7	NUM
ejpam-5944	355	27	0.8	0.8	NUM
ejpam-5944	355	28	0.9	0.9	NUM
ejpam-5944	355	29	1	1	NUM
ejpam-5944	355	30	t	t	NOUN
ejpam-5944	355	31	0.5	0.5	NUM
ejpam-5944	355	32	0.55	0.55	NUM
ejpam-5944	355	33	0.6	0.6	NUM
ejpam-5944	355	34	0.65	0.65	NUM
ejpam-5944	355	35	0.7	0.7	NUM
ejpam-5944	355	36	0.75	0.75	NUM
ejpam-5944	355	37	0.8	0.8	NUM
ejpam-5944	355	38	0.85	0.85	NUM
ejpam-5944	355	39	0.9	0.9	NUM
ejpam-5944	355	40	0.95	0.95	NUM
ejpam-5944	355	41	1	1	NUM
ejpam-5944	355	42	u	u	NOUN
ejpam-5944	355	43	(	(	PUNCT
ejpam-5944	355	44	t	t	PROPN
ejpam-5944	355	45	)	)	PUNCT
ejpam-5944	356	1	=	=	NOUN
ejpam-5944	356	2	0.5	0.5	NUM
ejpam-5944	356	3	=	=	SYM
ejpam-5944	356	4	0.6	0.6	NUM
ejpam-5944	356	5	=	=	NOUN
ejpam-5944	356	6	0.7	0.7	NUM
ejpam-5944	356	7	=	=	SYM
ejpam-5944	356	8	0.8	0.8	NUM
ejpam-5944	356	9	=	=	NUM
ejpam-5944	356	10	0.9	0.9	NUM
ejpam-5944	356	11	=	=	SYM
ejpam-5944	356	12	1	1	NUM
ejpam-5944	356	13	(	(	PUNCT
ejpam-5944	356	14	a	a	NOUN
ejpam-5944	356	15	)	)	PUNCT
ejpam-5944	356	16	0	0	NUM
ejpam-5944	356	17	0.1	0.1	NUM
ejpam-5944	356	18	0.2	0.2	NUM
ejpam-5944	356	19	0.3	0.3	NUM
ejpam-5944	356	20	0.4	0.4	NUM
ejpam-5944	356	21	0.5	0.5	NUM
ejpam-5944	356	22	0.6	0.6	NUM
ejpam-5944	356	23	0.7	0.7	NUM
ejpam-5944	356	24	0.8	0.8	NUM
ejpam-5944	356	25	0.9	0.9	NUM
ejpam-5944	356	26	1	1	NUM
ejpam-5944	356	27	t	t	NOUN
ejpam-5944	356	28	0.5	0.5	NUM
ejpam-5944	356	29	0.55	0.55	NUM
ejpam-5944	356	30	0.6	0.6	NUM
ejpam-5944	356	31	0.65	0.65	NUM
ejpam-5944	356	32	0.7	0.7	NUM
ejpam-5944	356	33	0.75	0.75	NUM
ejpam-5944	356	34	0.8	0.8	NUM
ejpam-5944	356	35	0.85	0.85	NUM
ejpam-5944	356	36	0.9	0.9	NUM
ejpam-5944	356	37	u	u	NOUN
ejpam-5944	356	38	(	(	PUNCT
ejpam-5944	356	39	t	t	PROPN
ejpam-5944	356	40	)	)	PUNCT
ejpam-5944	357	1	=	=	NOUN
ejpam-5944	357	2	0.5	0.5	NUM
ejpam-5944	357	3	=	=	SYM
ejpam-5944	357	4	0.6	0.6	NUM
ejpam-5944	357	5	=	=	NOUN
ejpam-5944	357	6	0.7	0.7	NUM
ejpam-5944	357	7	=	=	SYM
ejpam-5944	357	8	0.8	0.8	NUM
ejpam-5944	357	9	=	=	NUM
ejpam-5944	357	10	0.9	0.9	NUM
ejpam-5944	357	11	=	=	SYM
ejpam-5944	357	12	1	1	NUM
ejpam-5944	357	13	(	(	PUNCT
ejpam-5944	357	14	b	b	NOUN
ejpam-5944	357	15	)	)	PUNCT
ejpam-5944	357	16	figure	figure	NOUN
ejpam-5944	357	17	16	16	NUM
ejpam-5944	357	18	:	:	PUNCT
ejpam-5944	357	19	(	(	PUNCT
ejpam-5944	357	20	a	a	X
ejpam-5944	357	21	)	)	PUNCT
ejpam-5944	357	22	the	the	DET
ejpam-5944	357	23	numerical	numerical	ADJ
ejpam-5944	357	24	solutions	solution	NOUN
ejpam-5944	357	25	of	of	ADP
ejpam-5944	357	26	problem	problem	NOUN
ejpam-5944	357	27	4	4	NUM
ejpam-5944	357	28	using	use	VERB
ejpam-5944	357	29	the	the	DET
ejpam-5944	357	30	frk4	frk4	NOUN
ejpam-5944	357	31	method	method	NOUN
ejpam-5944	357	32	with	with	ADP
ejpam-5944	357	33	u0	u0	ADJ
ejpam-5944	357	34	=	=	NOUN
ejpam-5944	357	35	0.5	0.5	NUM
ejpam-5944	357	36	,	,	PUNCT
ejpam-5944	357	37	h	h	NOUN
ejpam-5944	357	38	=	=	NOUN
ejpam-5944	357	39	0.01	0.01	NUM
ejpam-5944	357	40	for	for	ADP
ejpam-5944	357	41	different	different	ADJ
ejpam-5944	357	42	fractional	fractional	ADJ
ejpam-5944	357	43	orders	order	NOUN
ejpam-5944	357	44	β	β	NOUN
ejpam-5944	357	45	.	.	PUNCT
ejpam-5944	358	1	(	(	PUNCT
ejpam-5944	358	2	b	b	X
ejpam-5944	358	3	)	)	PUNCT
ejpam-5944	358	4	the	the	DET
ejpam-5944	358	5	numerical	numerical	ADJ
ejpam-5944	358	6	solutions	solution	NOUN
ejpam-5944	358	7	of	of	ADP
ejpam-5944	358	8	problem	problem	NOUN
ejpam-5944	358	9	4	4	NUM
ejpam-5944	358	10	using	use	VERB
ejpam-5944	358	11	the	the	DET
ejpam-5944	358	12	frk4	frk4	NOUN
ejpam-5944	358	13	method	method	NOUN
ejpam-5944	358	14	with	with	ADP
ejpam-5944	358	15	u0	u0	ADJ
ejpam-5944	358	16	=	=	NOUN
ejpam-5944	358	17	0.5	0.5	NUM
ejpam-5944	358	18	,	,	PUNCT
ejpam-5944	358	19	h	h	NOUN
ejpam-5944	358	20	=	=	NOUN
ejpam-5944	358	21	0.1	0.1	NUM
ejpam-5944	358	22	for	for	ADP
ejpam-5944	358	23	different	different	ADJ
ejpam-5944	358	24	fractional	fractional	ADJ
ejpam-5944	358	25	orders	order	NOUN
ejpam-5944	358	26	β	β	NOUN
ejpam-5944	358	27	.	.	NOUN
ejpam-5944	358	28	similar	similar	ADJ
ejpam-5944	358	29	to	to	ADP
ejpam-5944	358	30	previous	previous	ADJ
ejpam-5944	358	31	cases	case	NOUN
ejpam-5944	358	32	,	,	PUNCT
ejpam-5944	358	33	lower	low	ADJ
ejpam-5944	358	34	β	β	NOUN
ejpam-5944	358	35	values	value	NOUN
ejpam-5944	358	36	in	in	ADP
ejpam-5944	358	37	this	this	DET
ejpam-5944	358	38	problem	problem	NOUN
ejpam-5944	358	39	slow	slow	VERB
ejpam-5944	358	40	the	the	DET
ejpam-5944	358	41	convergence	convergence	NOUN
ejpam-5944	358	42	to	to	ADP
ejpam-5944	358	43	equilibrium	equilibrium	NOUN
ejpam-5944	358	44	.	.	PUNCT
ejpam-5944	359	1	additionally	additionally	ADV
ejpam-5944	359	2	,	,	PUNCT
ejpam-5944	359	3	the	the	DET
ejpam-5944	359	4	smaller	small	ADJ
ejpam-5944	359	5	step	step	NOUN
ejpam-5944	359	6	size	size	NOUN
ejpam-5944	359	7	h	h	NOUN
ejpam-5944	359	8	in	in	ADP
ejpam-5944	359	9	figure	figure	NOUN
ejpam-5944	359	10	(	(	PUNCT
ejpam-5944	359	11	b	b	NOUN
ejpam-5944	359	12	)	)	PUNCT
ejpam-5944	359	13	results	result	NOUN
ejpam-5944	359	14	in	in	ADP
ejpam-5944	359	15	a	a	DET
ejpam-5944	359	16	smoother	smooth	ADJ
ejpam-5944	359	17	approximate	approximate	ADJ
ejpam-5944	359	18	solution	solution	NOUN
ejpam-5944	359	19	.	.	PUNCT
ejpam-5944	360	1	0	0	NUM
ejpam-5944	360	2	0.1	0.1	NUM
ejpam-5944	360	3	0.2	0.2	NUM
ejpam-5944	360	4	0.3	0.3	NUM
ejpam-5944	360	5	0.4	0.4	NUM
ejpam-5944	360	6	0.5	0.5	NUM
ejpam-5944	360	7	0.6	0.6	NUM
ejpam-5944	360	8	0.7	0.7	NUM
ejpam-5944	360	9	0.8	0.8	NUM
ejpam-5944	360	10	0.9	0.9	NUM
ejpam-5944	360	11	1	1	NUM
ejpam-5944	360	12	t	t	NOUN
ejpam-5944	360	13	0	0	NUM
ejpam-5944	360	14	0.5	0.5	NUM
ejpam-5944	360	15	1	1	NUM
ejpam-5944	360	16	1.5	1.5	NUM
ejpam-5944	360	17	2	2	NUM
ejpam-5944	360	18	2.5	2.5	NUM
ejpam-5944	360	19	3	3	NUM
ejpam-5944	360	20	3.5	3.5	NUM
ejpam-5944	360	21	4	4	NUM
ejpam-5944	360	22	4.5	4.5	NUM
ejpam-5944	360	23	5	5	NUM
ejpam-5944	360	24	e	e	NOUN
ejpam-5944	360	25	r	r	NOUN
ejpam-5944	360	26	r	r	NOUN
ejpam-5944	360	27	o	o	NOUN
ejpam-5944	360	28	r	r	NOUN
ejpam-5944	360	29	a	a	DET
ejpam-5944	360	30	b	b	NOUN
ejpam-5944	360	31	s	s	PART
ejpam-5944	360	32	10	10	NUM
ejpam-5944	360	33	-14	-14	PUNCT
ejpam-5944	360	34	(	(	PUNCT
ejpam-5944	360	35	a	a	X
ejpam-5944	360	36	)	)	PUNCT
ejpam-5944	360	37	0	0	NUM
ejpam-5944	360	38	0.1	0.1	NUM
ejpam-5944	360	39	0.2	0.2	NUM
ejpam-5944	360	40	0.3	0.3	NUM
ejpam-5944	360	41	0.4	0.4	NUM
ejpam-5944	360	42	0.5	0.5	NUM
ejpam-5944	360	43	0.6	0.6	NUM
ejpam-5944	360	44	0.7	0.7	NUM
ejpam-5944	360	45	0.8	0.8	NUM
ejpam-5944	360	46	0.9	0.9	NUM
ejpam-5944	360	47	1	1	NUM
ejpam-5944	360	48	t	t	NOUN
ejpam-5944	360	49	0	0	NUM
ejpam-5944	360	50	0.5	0.5	NUM
ejpam-5944	360	51	1	1	NUM
ejpam-5944	360	52	1.5	1.5	NUM
ejpam-5944	360	53	2	2	NUM
ejpam-5944	360	54	2.5	2.5	NUM
ejpam-5944	360	55	3	3	NUM
ejpam-5944	360	56	e	e	NOUN
ejpam-5944	360	57	r	r	NOUN
ejpam-5944	360	58	r	r	NOUN
ejpam-5944	360	59	o	o	NOUN
ejpam-5944	360	60	r	r	NOUN
ejpam-5944	360	61	a	a	DET
ejpam-5944	360	62	b	b	NOUN
ejpam-5944	360	63	s	s	PROPN
ejpam-5944	360	64	10	10	NUM
ejpam-5944	360	65	-15	-15	NUM
ejpam-5944	360	66	(	(	PUNCT
ejpam-5944	360	67	b	b	NOUN
ejpam-5944	360	68	)	)	PUNCT
ejpam-5944	360	69	figure	figure	NOUN
ejpam-5944	360	70	17	17	NUM
ejpam-5944	360	71	:	:	PUNCT
ejpam-5944	360	72	(	(	PUNCT
ejpam-5944	360	73	a	a	X
ejpam-5944	360	74	)	)	PUNCT
ejpam-5944	360	75	the	the	DET
ejpam-5944	360	76	errorabs	errorab	NOUN
ejpam-5944	360	77	of	of	ADP
ejpam-5944	360	78	frk4	frk4	NOUN
ejpam-5944	360	79	for	for	ADP
ejpam-5944	360	80	problem	problem	NOUN
ejpam-5944	360	81	4	4	NUM
ejpam-5944	360	82	with	with	ADP
ejpam-5944	360	83	u0	u0	ADJ
ejpam-5944	360	84	=	=	NOUN
ejpam-5944	360	85	0.5	0.5	NUM
ejpam-5944	360	86	,	,	PUNCT
ejpam-5944	360	87	h	h	NOUN
ejpam-5944	360	88	=	=	NOUN
ejpam-5944	360	89	0.01	0.01	NUM
ejpam-5944	360	90	and	and	CCONJ
ejpam-5944	360	91	orders	order	NOUN
ejpam-5944	360	92	β	β	X
ejpam-5944	360	93	=	=	SYM
ejpam-5944	360	94	1	1	X
ejpam-5944	360	95	.	.	PUNCT
ejpam-5944	361	1	(	(	PUNCT
ejpam-5944	361	2	b	b	X
ejpam-5944	361	3	)	)	PUNCT
ejpam-5944	361	4	the	the	DET
ejpam-5944	361	5	errorabs	errorab	NOUN
ejpam-5944	361	6	of	of	ADP
ejpam-5944	361	7	frk4	frk4	NOUN
ejpam-5944	361	8	for	for	ADP
ejpam-5944	361	9	problem	problem	NOUN
ejpam-5944	361	10	4	4	NUM
ejpam-5944	361	11	with	with	ADP
ejpam-5944	361	12	u0	u0	ADJ
ejpam-5944	361	13	=	=	NOUN
ejpam-5944	361	14	0.5	0.5	NUM
ejpam-5944	361	15	,	,	PUNCT
ejpam-5944	361	16	h	h	NOUN
ejpam-5944	361	17	=	=	NOUN
ejpam-5944	361	18	0.0001	0.0001	NUM
ejpam-5944	361	19	and	and	CCONJ
ejpam-5944	361	20	orders	order	NOUN
ejpam-5944	361	21	β	β	X
ejpam-5944	361	22	=	=	SYM
ejpam-5944	361	23	1	1	X
ejpam-5944	361	24	.	.	PUNCT
ejpam-5944	362	1	the	the	DET
ejpam-5944	362	2	errors	error	NOUN
ejpam-5944	362	3	are	be	AUX
ejpam-5944	362	4	extremely	extremely	ADV
ejpam-5944	362	5	low	low	ADJ
ejpam-5944	362	6	and	and	CCONJ
ejpam-5944	362	7	are	be	AUX
ejpam-5944	362	8	further	far	ADV
ejpam-5944	362	9	reduced	reduce	VERB
ejpam-5944	362	10	with	with	ADP
ejpam-5944	362	11	h	h	NOUN
ejpam-5944	362	12	=	=	NOUN
ejpam-5944	362	13	0.0001	0.0001	NUM
ejpam-5944	362	14	.	.	PUNCT
ejpam-5944	363	1	the	the	DET
ejpam-5944	363	2	stable	stable	ADJ
ejpam-5944	363	3	error	error	NOUN
ejpam-5944	363	4	profiles	profile	NOUN
ejpam-5944	363	5	validate	validate	VERB
ejpam-5944	363	6	the	the	DET
ejpam-5944	363	7	precision	precision	NOUN
ejpam-5944	363	8	of	of	ADP
ejpam-5944	363	9	frk4	frk4	NOUN
ejpam-5944	363	10	for	for	ADP
ejpam-5944	363	11	integer	integer	NOUN
ejpam-5944	363	12	-	-	PUNCT
ejpam-5944	363	13	order	order	NOUN
ejpam-5944	363	14	cases	case	NOUN
ejpam-5944	363	15	,	,	PUNCT
ejpam-5944	363	16	establishing	establish	VERB
ejpam-5944	363	17	it	it	PRON
ejpam-5944	363	18	as	as	ADP
ejpam-5944	363	19	a	a	DET
ejpam-5944	363	20	reliable	reliable	ADJ
ejpam-5944	363	21	method	method	NOUN
ejpam-5944	363	22	for	for	ADP
ejpam-5944	363	23	solving	solve	VERB
ejpam-5944	363	24	quadratic	quadratic	ADJ
ejpam-5944	363	25	logistic	logistic	ADJ
ejpam-5944	363	26	models	model	NOUN
ejpam-5944	363	27	where	where	SCONJ
ejpam-5944	363	28	high	high	ADJ
ejpam-5944	363	29	accuracy	accuracy	NOUN
ejpam-5944	363	30	is	be	AUX
ejpam-5944	363	31	essential	essential	ADJ
ejpam-5944	363	32	.	.	PUNCT
ejpam-5944	364	1	kamran	kamran	PROPN
ejpam-5944	364	2	et	et	PROPN
ejpam-5944	364	3	al	al	PROPN
ejpam-5944	364	4	.	.	PUNCT
ejpam-5944	364	5	/	/	SYM
ejpam-5944	364	6	eur	eur	PROPN
ejpam-5944	364	7	.	.	PUNCT
ejpam-5944	365	1	j.	j.	PROPN
ejpam-5944	365	2	pure	pure	PROPN
ejpam-5944	365	3	appl	appl	PROPN
ejpam-5944	365	4	.	.	PROPN
ejpam-5944	365	5	math	math	PROPN
ejpam-5944	365	6	,	,	PUNCT
ejpam-5944	365	7	18	18	NUM
ejpam-5944	365	8	(	(	PUNCT
ejpam-5944	365	9	2	2	NUM
ejpam-5944	365	10	)	)	PUNCT
ejpam-5944	365	11	(	(	PUNCT
ejpam-5944	365	12	2025	2025	NUM
ejpam-5944	365	13	)	)	PUNCT
ejpam-5944	365	14	,	,	PUNCT
ejpam-5944	365	15	5944	5944	NUM
ejpam-5944	365	16	26	26	NUM
ejpam-5944	365	17	of	of	ADP
ejpam-5944	365	18	32	32	NUM
ejpam-5944	365	19	4.3	4.3	NUM
ejpam-5944	365	20	.	.	PUNCT
ejpam-5944	366	1	problem	problem	NOUN
ejpam-5944	366	2	5	5	NUM
ejpam-5944	366	3	we	we	PRON
ejpam-5944	366	4	consider	consider	VERB
ejpam-5944	366	5	the	the	DET
ejpam-5944	366	6	seir	seir	NOUN
ejpam-5944	366	7	model	model	NOUN
ejpam-5944	366	8	defined	define	VERB
ejpam-5944	366	9	in	in	ADP
ejpam-5944	366	10	(	(	PUNCT
ejpam-5944	366	11	2.4	2.4	NUM
ejpam-5944	366	12	)	)	PUNCT
ejpam-5944	366	13	with	with	ADP
ejpam-5944	366	14	the	the	DET
ejpam-5944	366	15	parameter	parameter	NOUN
ejpam-5944	366	16	values	value	NOUN
ejpam-5944	366	17	given	give	VERB
ejpam-5944	366	18	as	as	ADP
ejpam-5944	366	19	b	b	NOUN
ejpam-5944	366	20	=	=	SYM
ejpam-5944	366	21	0.001555	0.001555	NUM
ejpam-5944	366	22	,	,	PUNCT
ejpam-5944	366	23	p	p	NOUN
ejpam-5944	366	24	=	=	NOUN
ejpam-5944	366	25	0.8	0.8	NUM
ejpam-5944	366	26	,	,	PUNCT
ejpam-5944	366	27	q	q	NOUN
ejpam-5944	367	1	=	=	NOUN
ejpam-5944	367	2	0.95	0.95	NUM
ejpam-5944	367	3	,	,	PUNCT
ejpam-5944	367	4	r	r	NOUN
ejpam-5944	367	5	=	=	SYM
ejpam-5944	367	6	0.05	0.05	NUM
ejpam-5944	367	7	,	,	PUNCT
ejpam-5944	367	8	η	η	X
ejpam-5944	367	9	=	=	PROPN
ejpam-5944	367	10	0.05	0.05	NUM
ejpam-5944	367	11	,	,	PUNCT
ejpam-5944	367	12	θ	θ	X
ejpam-5944	367	13	=	=	SYM
ejpam-5944	367	14	0.002	0.002	NUM
ejpam-5944	367	15	,	,	PUNCT
ejpam-5944	367	16	γ	γ	X
ejpam-5944	367	17	=	=	SYM
ejpam-5944	367	18	0.003	0.003	NUM
ejpam-5944	367	19	,	,	PUNCT
ejpam-5944	367	20	d(n	d(n	NOUN
ejpam-5944	367	21	)	)	PUNCT
ejpam-5944	367	22	=	=	PUNCT
ejpam-5944	368	1	0.00001	0.00001	NUM
ejpam-5944	368	2	+	+	NUM
ejpam-5944	368	3	0.000007n	0.000007n	NOUN
ejpam-5944	368	4	(	(	PUNCT
ejpam-5944	368	5	4.5	4.5	NUM
ejpam-5944	368	6	)	)	PUNCT
ejpam-5944	368	7	with	with	ADP
ejpam-5944	368	8	the	the	DET
ejpam-5944	368	9	initial	initial	ADJ
ejpam-5944	368	10	conditions	condition	NOUN
ejpam-5944	368	11	s(0	s(0	PROPN
ejpam-5944	368	12	)	)	PUNCT
ejpam-5944	368	13	=	=	SYM
ejpam-5944	368	14	140	140	NUM
ejpam-5944	368	15	,	,	PUNCT
ejpam-5944	368	16	e(0	e(0	NOUN
ejpam-5944	368	17	)	)	PUNCT
ejpam-5944	368	18	=	=	SYM
ejpam-5944	368	19	0.01	0.01	NUM
ejpam-5944	368	20	,	,	PUNCT
ejpam-5944	368	21	i(0	i(0	PROPN
ejpam-5944	368	22	)	)	PUNCT
ejpam-5944	368	23	=	=	NOUN
ejpam-5944	368	24	0.02	0.02	NUM
ejpam-5944	368	25	,	,	PUNCT
ejpam-5944	368	26	n(0	n(0	PROPN
ejpam-5944	368	27	)	)	PUNCT
ejpam-5944	368	28	=	=	NOUN
ejpam-5944	368	29	141	141	NUM
ejpam-5944	368	30	.	.	PUNCT
ejpam-5944	369	1	(	(	PUNCT
ejpam-5944	369	2	4.6	4.6	NUM
ejpam-5944	369	3	)	)	PUNCT
ejpam-5944	369	4	the	the	DET
ejpam-5944	369	5	given	give	VERB
ejpam-5944	369	6	model	model	NOUN
ejpam-5944	369	7	is	be	AUX
ejpam-5944	369	8	solved	solve	VERB
ejpam-5944	369	9	with	with	ADP
ejpam-5944	369	10	h	h	NOUN
ejpam-5944	369	11	=	=	NOUN
ejpam-5944	369	12	0.01	0.01	NUM
ejpam-5944	369	13	,	,	PUNCT
ejpam-5944	369	14	and	and	CCONJ
ejpam-5944	369	15	final	final	ADJ
ejpam-5944	369	16	time	time	NOUN
ejpam-5944	369	17	t	t	PROPN
ejpam-5944	369	18	=	=	SYM
ejpam-5944	369	19	2500	2500	NUM
ejpam-5944	369	20	we	we	PRON
ejpam-5944	369	21	observe	observe	VERB
ejpam-5944	369	22	that	that	SCONJ
ejpam-5944	369	23	the	the	DET
ejpam-5944	369	24	results	result	NOUN
ejpam-5944	369	25	presented	present	VERB
ejpam-5944	369	26	in	in	ADP
ejpam-5944	369	27	the	the	DET
ejpam-5944	369	28	figures	figure	NOUN
ejpam-5944	369	29	(	(	PUNCT
ejpam-5944	369	30	18a-21	18a-21	NUM
ejpam-5944	369	31	)	)	PUNCT
ejpam-5944	369	32	are	be	AUX
ejpam-5944	369	33	in	in	ADP
ejpam-5944	369	34	good	good	ADJ
ejpam-5944	369	35	agreement	agreement	NOUN
ejpam-5944	369	36	with	with	ADP
ejpam-5944	369	37	the	the	DET
ejpam-5944	369	38	results	result	NOUN
ejpam-5944	369	39	in	in	ADP
ejpam-5944	369	40	[	[	X
ejpam-5944	369	41	42	42	NUM
ejpam-5944	369	42	]	]	SYM
ejpam-5944	369	43	0	0	NUM
ejpam-5944	370	1	500	500	NUM
ejpam-5944	370	2	1000	1000	NUM
ejpam-5944	370	3	1500	1500	NUM
ejpam-5944	370	4	2000	2000	NUM
ejpam-5944	370	5	2500	2500	NUM
ejpam-5944	370	6	t	t	NOUN
ejpam-5944	370	7	0	0	NUM
ejpam-5944	370	8	20	20	NUM
ejpam-5944	370	9	40	40	NUM
ejpam-5944	370	10	60	60	NUM
ejpam-5944	370	11	80	80	NUM
ejpam-5944	370	12	100	100	NUM
ejpam-5944	370	13	120	120	NUM
ejpam-5944	370	14	140	140	NUM
ejpam-5944	370	15	160	160	NUM
ejpam-5944	370	16	s	s	NOUN
ejpam-5944	370	17	u	u	NOUN
ejpam-5944	370	18	s	s	PROPN
ejpam-5944	370	19	p	p	X
ejpam-5944	370	20	e	e	NOUN
ejpam-5944	370	21	n	n	NOUN
ejpam-5944	370	22	d	d	X
ejpam-5944	370	23	e	e	X
ejpam-5944	370	24	d	d	NOUN
ejpam-5944	370	25	=	=	NOUN
ejpam-5944	370	26	1	1	NUM
ejpam-5944	370	27	=	=	SYM
ejpam-5944	370	28	0.95	0.95	NUM
ejpam-5944	370	29	=	=	NUM
ejpam-5944	370	30	0.90	0.90	NUM
ejpam-5944	370	31	(	(	PUNCT
ejpam-5944	370	32	a	a	NOUN
ejpam-5944	370	33	)	)	PUNCT
ejpam-5944	370	34	0	0	NUM
ejpam-5944	370	35	500	500	NUM
ejpam-5944	370	36	1000	1000	NUM
ejpam-5944	370	37	1500	1500	NUM
ejpam-5944	370	38	2000	2000	NUM
ejpam-5944	370	39	2500	2500	NUM
ejpam-5944	370	40	t	t	NOUN
ejpam-5944	370	41	0	0	NUM
ejpam-5944	370	42	5	5	NUM
ejpam-5944	370	43	10	10	NUM
ejpam-5944	370	44	15	15	NUM
ejpam-5944	370	45	20	20	NUM
ejpam-5944	370	46	25	25	NUM
ejpam-5944	370	47	30	30	NUM
ejpam-5944	370	48	e	e	NOUN
ejpam-5944	370	49	x	x	X
ejpam-5944	370	50	p	p	NOUN
ejpam-5944	370	51	o	o	X
ejpam-5944	370	52	s	s	X
ejpam-5944	370	53	e	e	X
ejpam-5944	370	54	d	d	NOUN
ejpam-5944	370	55	=	=	NOUN
ejpam-5944	370	56	1	1	NUM
ejpam-5944	370	57	=	=	SYM
ejpam-5944	370	58	0.95	0.95	NUM
ejpam-5944	370	59	=	=	NUM
ejpam-5944	370	60	0.90	0.90	NUM
ejpam-5944	370	61	(	(	PUNCT
ejpam-5944	370	62	b	b	NOUN
ejpam-5944	370	63	)	)	PUNCT
ejpam-5944	370	64	figure	figure	NOUN
ejpam-5944	370	65	18	18	NUM
ejpam-5944	370	66	:	:	PUNCT
ejpam-5944	370	67	(	(	PUNCT
ejpam-5944	370	68	a	a	X
ejpam-5944	370	69	)	)	PUNCT
ejpam-5944	370	70	the	the	DET
ejpam-5944	370	71	plot	plot	NOUN
ejpam-5944	370	72	shows	show	VERB
ejpam-5944	370	73	the	the	DET
ejpam-5944	370	74	numerical	numerical	ADJ
ejpam-5944	370	75	solution	solution	NOUN
ejpam-5944	370	76	for	for	ADP
ejpam-5944	370	77	the	the	DET
ejpam-5944	370	78	susceptible	susceptible	ADJ
ejpam-5944	370	79	population	population	NOUN
ejpam-5944	370	80	s	s	PART
ejpam-5944	370	81	for	for	ADP
ejpam-5944	370	82	the	the	DET
ejpam-5944	370	83	problem	problem	NOUN
ejpam-5944	370	84	defined	define	VERB
ejpam-5944	370	85	in	in	ADP
ejpam-5944	370	86	(	(	PUNCT
ejpam-5944	370	87	2.4	2.4	NUM
ejpam-5944	370	88	)	)	PUNCT
ejpam-5944	370	89	with	with	ADP
ejpam-5944	370	90	parameters	parameter	NOUN
ejpam-5944	370	91	values	value	NOUN
ejpam-5944	370	92	(	(	PUNCT
ejpam-5944	370	93	4.5	4.5	NUM
ejpam-5944	370	94	)	)	PUNCT
ejpam-5944	370	95	and	and	CCONJ
ejpam-5944	370	96	initial	initial	ADJ
ejpam-5944	370	97	conditions	condition	NOUN
ejpam-5944	370	98	given	give	VERB
ejpam-5944	370	99	in	in	ADP
ejpam-5944	370	100	(	(	PUNCT
ejpam-5944	370	101	4.6	4.6	NUM
ejpam-5944	370	102	)	)	PUNCT
ejpam-5944	370	103	.	.	PUNCT
ejpam-5944	371	1	(	(	PUNCT
ejpam-5944	371	2	b	b	X
ejpam-5944	371	3	)	)	PUNCT
ejpam-5944	371	4	the	the	DET
ejpam-5944	371	5	plot	plot	NOUN
ejpam-5944	371	6	shows	show	VERB
ejpam-5944	371	7	the	the	DET
ejpam-5944	371	8	numerical	numerical	ADJ
ejpam-5944	371	9	solution	solution	NOUN
ejpam-5944	371	10	for	for	ADP
ejpam-5944	371	11	the	the	DET
ejpam-5944	371	12	exposed	expose	VERB
ejpam-5944	371	13	population	population	NOUN
ejpam-5944	371	14	e	e	NOUN
ejpam-5944	371	15	for	for	ADP
ejpam-5944	371	16	the	the	DET
ejpam-5944	371	17	problem	problem	NOUN
ejpam-5944	371	18	defined	define	VERB
ejpam-5944	371	19	in	in	ADP
ejpam-5944	371	20	(	(	PUNCT
ejpam-5944	371	21	2.4	2.4	NUM
ejpam-5944	371	22	)	)	PUNCT
ejpam-5944	371	23	with	with	ADP
ejpam-5944	371	24	parameters	parameter	NOUN
ejpam-5944	371	25	values	value	NOUN
ejpam-5944	371	26	(	(	PUNCT
ejpam-5944	371	27	4.5	4.5	NUM
ejpam-5944	371	28	)	)	PUNCT
ejpam-5944	371	29	and	and	CCONJ
ejpam-5944	371	30	initial	initial	ADJ
ejpam-5944	371	31	conditions	condition	NOUN
ejpam-5944	371	32	given	give	VERB
ejpam-5944	371	33	in	in	ADP
ejpam-5944	371	34	(	(	PUNCT
ejpam-5944	371	35	4.6	4.6	NUM
ejpam-5944	371	36	)	)	PUNCT
ejpam-5944	371	37	.	.	PUNCT
ejpam-5944	372	1	in	in	ADP
ejpam-5944	372	2	figure	figure	NOUN
ejpam-5944	372	3	18a	18a	NOUN
ejpam-5944	372	4	,	,	PUNCT
ejpam-5944	372	5	the	the	DET
ejpam-5944	372	6	susceptible	susceptible	ADJ
ejpam-5944	372	7	class	class	NOUN
ejpam-5944	372	8	is	be	AUX
ejpam-5944	372	9	expressed	express	VERB
ejpam-5944	372	10	which	which	PRON
ejpam-5944	372	11	has	have	AUX
ejpam-5944	372	12	shown	show	VERB
ejpam-5944	372	13	a	a	DET
ejpam-5944	372	14	sudden	sudden	ADJ
ejpam-5944	372	15	decrease	decrease	NOUN
ejpam-5944	372	16	in	in	ADP
ejpam-5944	372	17	the	the	DET
ejpam-5944	372	18	population	population	NOUN
ejpam-5944	372	19	.	.	PUNCT
ejpam-5944	373	1	the	the	DET
ejpam-5944	373	2	dynamics	dynamic	NOUN
ejpam-5944	373	3	of	of	ADP
ejpam-5944	373	4	the	the	DET
ejpam-5944	373	5	population	population	NOUN
ejpam-5944	373	6	is	be	AUX
ejpam-5944	373	7	illustrated	illustrate	VERB
ejpam-5944	373	8	for	for	ADP
ejpam-5944	373	9	three	three	NUM
ejpam-5944	373	10	different	different	ADJ
ejpam-5944	373	11	fractional	fractional	ADJ
ejpam-5944	373	12	orders	order	NOUN
ejpam-5944	373	13	1	1	NUM
ejpam-5944	373	14	,	,	PUNCT
ejpam-5944	373	15	0.95	0.95	NUM
ejpam-5944	373	16	and	and	CCONJ
ejpam-5944	373	17	0.90	0.90	NUM
ejpam-5944	373	18	.	.	PUNCT
ejpam-5944	374	1	all	all	DET
ejpam-5944	374	2	these	these	DET
ejpam-5944	374	3	results	result	NOUN
ejpam-5944	374	4	have	have	AUX
ejpam-5944	374	5	shown	show	VERB
ejpam-5944	374	6	closer	close	ADJ
ejpam-5944	374	7	behavior	behavior	NOUN
ejpam-5944	374	8	in	in	ADP
ejpam-5944	374	9	simulations	simulation	NOUN
ejpam-5944	374	10	with	with	ADP
ejpam-5944	374	11	same	same	ADJ
ejpam-5944	374	12	pattern	pattern	NOUN
ejpam-5944	374	13	.	.	PUNCT
ejpam-5944	375	1	a	a	DET
ejpam-5944	375	2	slight	slight	ADJ
ejpam-5944	375	3	variation	variation	NOUN
ejpam-5944	375	4	in	in	ADP
ejpam-5944	375	5	the	the	DET
ejpam-5944	375	6	dynamics	dynamic	NOUN
ejpam-5944	375	7	can	can	AUX
ejpam-5944	375	8	easily	easily	ADV
ejpam-5944	375	9	be	be	AUX
ejpam-5944	375	10	observed	observe	VERB
ejpam-5944	375	11	showing	show	VERB
ejpam-5944	375	12	the	the	DET
ejpam-5944	375	13	impacts	impact	NOUN
ejpam-5944	375	14	of	of	ADP
ejpam-5944	375	15	the	the	DET
ejpam-5944	375	16	variation	variation	NOUN
ejpam-5944	375	17	of	of	ADP
ejpam-5944	375	18	the	the	DET
ejpam-5944	375	19	fractional	fractional	ADJ
ejpam-5944	375	20	order	order	NOUN
ejpam-5944	375	21	.	.	PUNCT
ejpam-5944	376	1	for	for	ADP
ejpam-5944	376	2	the	the	DET
ejpam-5944	376	3	least	least	ADJ
ejpam-5944	376	4	fractional	fractional	ADJ
ejpam-5944	376	5	order	order	NOUN
ejpam-5944	376	6	0.9	0.9	NUM
ejpam-5944	376	7	,	,	PUNCT
ejpam-5944	376	8	we	we	PRON
ejpam-5944	376	9	have	have	AUX
ejpam-5944	376	10	observed	observe	VERB
ejpam-5944	376	11	that	that	SCONJ
ejpam-5944	376	12	a	a	DET
ejpam-5944	376	13	more	more	ADV
ejpam-5944	376	14	abrupt	abrupt	ADJ
ejpam-5944	376	15	fall	fall	NOUN
ejpam-5944	376	16	in	in	ADP
ejpam-5944	376	17	the	the	DET
ejpam-5944	376	18	population	population	NOUN
ejpam-5944	376	19	has	have	AUX
ejpam-5944	376	20	occur	occur	VERB
ejpam-5944	376	21	in	in	ADP
ejpam-5944	376	22	the	the	DET
ejpam-5944	376	23	susceptible	susceptible	ADJ
ejpam-5944	376	24	class	class	NOUN
ejpam-5944	376	25	in	in	ADP
ejpam-5944	376	26	the	the	DET
ejpam-5944	376	27	early	early	ADJ
ejpam-5944	376	28	500	500	NUM
ejpam-5944	376	29	units	unit	NOUN
ejpam-5944	376	30	of	of	ADP
ejpam-5944	376	31	time	time	NOUN
ejpam-5944	376	32	.	.	PUNCT
ejpam-5944	377	1	this	this	DET
ejpam-5944	377	2	fall	fall	NOUN
ejpam-5944	377	3	in	in	ADP
ejpam-5944	377	4	the	the	DET
ejpam-5944	377	5	population	population	NOUN
ejpam-5944	377	6	is	be	AUX
ejpam-5944	377	7	converted	convert	VERB
ejpam-5944	377	8	to	to	ADP
ejpam-5944	377	9	the	the	DET
ejpam-5944	377	10	exposed	expose	VERB
ejpam-5944	377	11	population	population	NOUN
ejpam-5944	377	12	and	and	CCONJ
ejpam-5944	377	13	can	can	AUX
ejpam-5944	377	14	be	be	AUX
ejpam-5944	377	15	seen	see	VERB
ejpam-5944	377	16	in	in	ADP
ejpam-5944	377	17	the	the	DET
ejpam-5944	377	18	figure	figure	NOUN
ejpam-5944	377	19	18b	18b	NUM
ejpam-5944	377	20	.	.	PUNCT
ejpam-5944	378	1	for	for	ADP
ejpam-5944	378	2	the	the	DET
ejpam-5944	378	3	0.90	0.90	NUM
ejpam-5944	378	4	,	,	PUNCT
ejpam-5944	378	5	the	the	DET
ejpam-5944	378	6	most	most	ADV
ejpam-5944	378	7	early	early	ADJ
ejpam-5944	378	8	growth	growth	NOUN
ejpam-5944	378	9	in	in	ADP
ejpam-5944	378	10	the	the	DET
ejpam-5944	378	11	population	population	NOUN
ejpam-5944	378	12	of	of	ADP
ejpam-5944	378	13	the	the	DET
ejpam-5944	378	14	class	class	NOUN
ejpam-5944	378	15	has	have	AUX
ejpam-5944	378	16	been	be	AUX
ejpam-5944	378	17	observed	observe	VERB
ejpam-5944	378	18	but	but	CCONJ
ejpam-5944	378	19	has	have	VERB
ejpam-5944	378	20	the	the	DET
ejpam-5944	378	21	same	same	ADJ
ejpam-5944	378	22	pattern	pattern	NOUN
ejpam-5944	378	23	of	of	ADP
ejpam-5944	378	24	the	the	DET
ejpam-5944	378	25	dynamics	dynamic	NOUN
ejpam-5944	378	26	as	as	ADP
ejpam-5944	378	27	that	that	PRON
ejpam-5944	378	28	for	for	ADP
ejpam-5944	378	29	the	the	DET
ejpam-5944	378	30	order	order	NOUN
ejpam-5944	378	31	1	1	NUM
ejpam-5944	378	32	.	.	PUNCT
ejpam-5944	379	1	while	while	SCONJ
ejpam-5944	379	2	,	,	PUNCT
ejpam-5944	379	3	after	after	ADP
ejpam-5944	379	4	250	250	NUM
ejpam-5944	379	5	to	to	PART
ejpam-5944	379	6	500	500	NUM
ejpam-5944	379	7	units	unit	NOUN
ejpam-5944	379	8	of	of	ADP
ejpam-5944	379	9	time	time	NOUN
ejpam-5944	379	10	,	,	PUNCT
ejpam-5944	379	11	the	the	DET
ejpam-5944	379	12	rise	rise	NOUN
ejpam-5944	379	13	in	in	ADP
ejpam-5944	379	14	the	the	DET
ejpam-5944	379	15	population	population	NOUN
ejpam-5944	379	16	is	be	AUX
ejpam-5944	379	17	fallen	fall	VERB
ejpam-5944	379	18	down	down	ADP
ejpam-5944	379	19	and	and	CCONJ
ejpam-5944	379	20	have	have	AUX
ejpam-5944	379	21	shifted	shift	VERB
ejpam-5944	379	22	to	to	ADP
ejpam-5944	379	23	the	the	DET
ejpam-5944	379	24	infected	infected	ADJ
ejpam-5944	379	25	population	population	NOUN
ejpam-5944	379	26	as	as	SCONJ
ejpam-5944	379	27	shown	show	VERB
ejpam-5944	379	28	in	in	ADP
ejpam-5944	379	29	the	the	DET
ejpam-5944	379	30	figure	figure	NOUN
ejpam-5944	379	31	19	19	NUM
ejpam-5944	379	32	.	.	PUNCT
ejpam-5944	380	1	there	there	PRON
ejpam-5944	380	2	are	be	VERB
ejpam-5944	380	3	variations	variation	NOUN
ejpam-5944	380	4	in	in	ADP
ejpam-5944	380	5	the	the	DET
ejpam-5944	380	6	dynamics	dynamic	NOUN
ejpam-5944	380	7	of	of	ADP
ejpam-5944	380	8	the	the	DET
ejpam-5944	380	9	infected	infected	ADJ
ejpam-5944	380	10	class	class	NOUN
ejpam-5944	380	11	for	for	ADP
ejpam-5944	380	12	the	the	DET
ejpam-5944	380	13	different	different	ADJ
ejpam-5944	380	14	fractional	fractional	ADJ
ejpam-5944	380	15	orders	order	NOUN
ejpam-5944	380	16	but	but	CCONJ
ejpam-5944	380	17	have	have	AUX
ejpam-5944	380	18	kept	keep	VERB
ejpam-5944	380	19	the	the	DET
ejpam-5944	380	20	kamran	kamran	PROPN
ejpam-5944	380	21	et	et	PROPN
ejpam-5944	380	22	al	al	PROPN
ejpam-5944	380	23	.	.	PUNCT
ejpam-5944	380	24	/	/	SYM
ejpam-5944	380	25	eur	eur	PROPN
ejpam-5944	380	26	.	.	PUNCT
ejpam-5944	381	1	j.	j.	PROPN
ejpam-5944	381	2	pure	pure	PROPN
ejpam-5944	381	3	appl	appl	PROPN
ejpam-5944	381	4	.	.	PROPN
ejpam-5944	381	5	math	math	PROPN
ejpam-5944	381	6	,	,	PUNCT
ejpam-5944	381	7	18	18	NUM
ejpam-5944	381	8	(	(	PUNCT
ejpam-5944	381	9	2	2	NUM
ejpam-5944	381	10	)	)	PUNCT
ejpam-5944	381	11	(	(	PUNCT
ejpam-5944	381	12	2025	2025	NUM
ejpam-5944	381	13	)	)	PUNCT
ejpam-5944	381	14	,	,	PUNCT
ejpam-5944	381	15	5944	5944	NUM
ejpam-5944	381	16	27	27	NUM
ejpam-5944	381	17	of	of	ADP
ejpam-5944	381	18	32	32	NUM
ejpam-5944	381	19	same	same	ADJ
ejpam-5944	381	20	pattern	pattern	NOUN
ejpam-5944	381	21	for	for	ADP
ejpam-5944	381	22	all	all	DET
ejpam-5944	381	23	the	the	DET
ejpam-5944	381	24	three	three	NUM
ejpam-5944	381	25	fractional	fractional	ADJ
ejpam-5944	381	26	orders	order	NOUN
ejpam-5944	381	27	.	.	PUNCT
ejpam-5944	382	1	the	the	DET
ejpam-5944	382	2	stability	stability	NOUN
ejpam-5944	382	3	in	in	ADP
ejpam-5944	382	4	the	the	DET
ejpam-5944	382	5	population	population	NOUN
ejpam-5944	382	6	is	be	AUX
ejpam-5944	382	7	observed	observe	VERB
ejpam-5944	382	8	after	after	ADP
ejpam-5944	382	9	500	500	NUM
ejpam-5944	382	10	for	for	ADP
ejpam-5944	382	11	the	the	DET
ejpam-5944	382	12	order	order	NOUN
ejpam-5944	382	13	0.90	0.90	NUM
ejpam-5944	382	14	,	,	PUNCT
ejpam-5944	382	15	after	after	ADP
ejpam-5944	382	16	750	750	NUM
ejpam-5944	382	17	for	for	ADP
ejpam-5944	382	18	the	the	DET
ejpam-5944	382	19	order	order	NOUN
ejpam-5944	382	20	0.95	0.95	NUM
ejpam-5944	382	21	and	and	CCONJ
ejpam-5944	382	22	after	after	ADP
ejpam-5944	382	23	1000	1000	NUM
ejpam-5944	382	24	units	unit	NOUN
ejpam-5944	382	25	of	of	ADP
ejpam-5944	382	26	time	time	NOUN
ejpam-5944	382	27	for	for	ADP
ejpam-5944	382	28	the	the	DET
ejpam-5944	382	29	order	order	NOUN
ejpam-5944	382	30	1	1	X
ejpam-5944	382	31	.	.	PUNCT
ejpam-5944	383	1	these	these	DET
ejpam-5944	383	2	three	three	NUM
ejpam-5944	383	3	classes	class	NOUN
ejpam-5944	383	4	have	have	AUX
ejpam-5944	383	5	finally	finally	ADV
ejpam-5944	383	6	grown	grow	VERB
ejpam-5944	383	7	to	to	ADP
ejpam-5944	383	8	the	the	DET
ejpam-5944	383	9	recovered	recovered	ADJ
ejpam-5944	383	10	class	class	NOUN
ejpam-5944	383	11	where	where	SCONJ
ejpam-5944	383	12	the	the	DET
ejpam-5944	383	13	same	same	ADJ
ejpam-5944	383	14	pattern	pattern	NOUN
ejpam-5944	383	15	in	in	ADP
ejpam-5944	383	16	the	the	DET
ejpam-5944	383	17	population	population	NOUN
ejpam-5944	383	18	for	for	ADP
ejpam-5944	383	19	the	the	DET
ejpam-5944	383	20	different	different	ADJ
ejpam-5944	383	21	orders	order	NOUN
ejpam-5944	383	22	can	can	AUX
ejpam-5944	383	23	be	be	AUX
ejpam-5944	383	24	observed	observe	VERB
ejpam-5944	383	25	in	in	ADP
ejpam-5944	383	26	figure	figure	NOUN
ejpam-5944	383	27	20	20	NUM
ejpam-5944	383	28	.	.	PUNCT
ejpam-5944	384	1	the	the	DET
ejpam-5944	384	2	total	total	ADJ
ejpam-5944	384	3	population	population	NOUN
ejpam-5944	384	4	of	of	ADP
ejpam-5944	384	5	almost	almost	ADV
ejpam-5944	384	6	remains	remain	VERB
ejpam-5944	384	7	stable	stable	ADJ
ejpam-5944	384	8	with	with	ADP
ejpam-5944	384	9	a	a	DET
ejpam-5944	384	10	slight	slight	ADJ
ejpam-5944	384	11	fall	fall	NOUN
ejpam-5944	384	12	after	after	ADP
ejpam-5944	384	13	infection	infection	NOUN
ejpam-5944	384	14	which	which	PRON
ejpam-5944	384	15	have	have	AUX
ejpam-5944	384	16	increases	increase	VERB
ejpam-5944	384	17	the	the	DET
ejpam-5944	384	18	death	death	NOUN
ejpam-5944	384	19	tol	tol	NOUN
ejpam-5944	384	20	in	in	ADP
ejpam-5944	384	21	the	the	DET
ejpam-5944	384	22	population	population	NOUN
ejpam-5944	384	23	given	give	VERB
ejpam-5944	384	24	in	in	ADP
ejpam-5944	384	25	the	the	DET
ejpam-5944	384	26	figure	figure	NOUN
ejpam-5944	384	27	21	21	NUM
ejpam-5944	384	28	.	.	NOUN
ejpam-5944	384	29	0	0	NUM
ejpam-5944	385	1	500	500	NUM
ejpam-5944	385	2	1000	1000	NUM
ejpam-5944	385	3	1500	1500	NUM
ejpam-5944	385	4	2000	2000	NUM
ejpam-5944	385	5	2500	2500	NUM
ejpam-5944	385	6	t	t	NOUN
ejpam-5944	385	7	0	0	NUM
ejpam-5944	385	8	20	20	NUM
ejpam-5944	385	9	40	40	NUM
ejpam-5944	385	10	60	60	NUM
ejpam-5944	385	11	80	80	NUM
ejpam-5944	385	12	100	100	NUM
ejpam-5944	385	13	120	120	NUM
ejpam-5944	385	14	i	i	PRON
ejpam-5944	385	15	n	n	X
ejpam-5944	385	16	fe	fe	X
ejpam-5944	385	17	c	c	NOUN
ejpam-5944	385	18	ti	ti	X
ejpam-5944	385	19	o	o	NOUN
ejpam-5944	385	20	n	n	X
ejpam-5944	385	21	s	s	NOUN
ejpam-5944	385	22	=	=	NOUN
ejpam-5944	385	23	1	1	NUM
ejpam-5944	385	24	=	=	SYM
ejpam-5944	385	25	0.95	0.95	NUM
ejpam-5944	385	26	=	=	NUM
ejpam-5944	385	27	0.90	0.90	NUM
ejpam-5944	385	28	figure	figure	NOUN
ejpam-5944	385	29	19	19	NUM
ejpam-5944	385	30	:	:	PUNCT
ejpam-5944	385	31	the	the	DET
ejpam-5944	385	32	plot	plot	NOUN
ejpam-5944	385	33	shows	show	VERB
ejpam-5944	385	34	the	the	DET
ejpam-5944	385	35	numerical	numerical	ADJ
ejpam-5944	385	36	solution	solution	NOUN
ejpam-5944	385	37	of	of	ADP
ejpam-5944	385	38	infected	infected	ADJ
ejpam-5944	385	39	population	population	NOUN
ejpam-5944	385	40	i	i	PRON
ejpam-5944	385	41	for	for	ADP
ejpam-5944	385	42	the	the	DET
ejpam-5944	385	43	problem	problem	NOUN
ejpam-5944	385	44	defined	define	VERB
ejpam-5944	385	45	in	in	ADP
ejpam-5944	385	46	(	(	PUNCT
ejpam-5944	385	47	2.4	2.4	NUM
ejpam-5944	385	48	)	)	PUNCT
ejpam-5944	385	49	with	with	ADP
ejpam-5944	385	50	parameters	parameter	NOUN
ejpam-5944	385	51	values	value	NOUN
ejpam-5944	385	52	(	(	PUNCT
ejpam-5944	385	53	4.5	4.5	NUM
ejpam-5944	385	54	)	)	PUNCT
ejpam-5944	385	55	and	and	CCONJ
ejpam-5944	385	56	initial	initial	ADJ
ejpam-5944	385	57	conditions	condition	NOUN
ejpam-5944	385	58	given	give	VERB
ejpam-5944	385	59	in	in	ADP
ejpam-5944	385	60	(	(	PUNCT
ejpam-5944	385	61	4.6	4.6	NUM
ejpam-5944	385	62	)	)	PUNCT
ejpam-5944	385	63	.	.	PUNCT
ejpam-5944	386	1	0	0	NUM
ejpam-5944	387	1	500	500	NUM
ejpam-5944	387	2	1000	1000	NUM
ejpam-5944	387	3	1500	1500	NUM
ejpam-5944	387	4	2000	2000	NUM
ejpam-5944	387	5	2500	2500	NUM
ejpam-5944	387	6	t	t	NOUN
ejpam-5944	387	7	0	0	NUM
ejpam-5944	387	8	20	20	NUM
ejpam-5944	387	9	40	40	NUM
ejpam-5944	387	10	60	60	NUM
ejpam-5944	387	11	80	80	NUM
ejpam-5944	387	12	100	100	NUM
ejpam-5944	387	13	120	120	NUM
ejpam-5944	387	14	r	r	NOUN
ejpam-5944	387	15	e	e	NOUN
ejpam-5944	387	16	c	c	NOUN
ejpam-5944	387	17	o	o	X
ejpam-5944	387	18	v	v	NOUN
ejpam-5944	387	19	e	e	NOUN
ejpam-5944	387	20	r	r	NOUN
ejpam-5944	387	21	e	e	NOUN
ejpam-5944	387	22	d	d	NOUN
ejpam-5944	387	23	=	=	NOUN
ejpam-5944	387	24	1	1	NUM
ejpam-5944	387	25	=	=	SYM
ejpam-5944	387	26	0.95	0.95	NUM
ejpam-5944	387	27	=	=	NUM
ejpam-5944	387	28	0.90	0.90	NUM
ejpam-5944	387	29	figure	figure	NOUN
ejpam-5944	387	30	20	20	NUM
ejpam-5944	387	31	:	:	PUNCT
ejpam-5944	387	32	the	the	DET
ejpam-5944	387	33	plot	plot	NOUN
ejpam-5944	387	34	shows	show	VERB
ejpam-5944	387	35	the	the	DET
ejpam-5944	387	36	numerical	numerical	ADJ
ejpam-5944	387	37	solution	solution	NOUN
ejpam-5944	387	38	of	of	ADP
ejpam-5944	387	39	the	the	DET
ejpam-5944	387	40	recovered	recover	VERB
ejpam-5944	387	41	population	population	NOUN
ejpam-5944	387	42	r	r	NOUN
ejpam-5944	387	43	for	for	ADP
ejpam-5944	387	44	the	the	DET
ejpam-5944	387	45	problem	problem	NOUN
ejpam-5944	387	46	defined	define	VERB
ejpam-5944	387	47	in	in	ADP
ejpam-5944	387	48	(	(	PUNCT
ejpam-5944	387	49	2.4	2.4	NUM
ejpam-5944	387	50	)	)	PUNCT
ejpam-5944	387	51	with	with	ADP
ejpam-5944	387	52	parameters	parameter	NOUN
ejpam-5944	387	53	values	value	NOUN
ejpam-5944	387	54	(	(	PUNCT
ejpam-5944	387	55	4.5	4.5	NUM
ejpam-5944	387	56	)	)	PUNCT
ejpam-5944	387	57	and	and	CCONJ
ejpam-5944	387	58	initial	initial	ADJ
ejpam-5944	387	59	conditions	condition	NOUN
ejpam-5944	387	60	given	give	VERB
ejpam-5944	387	61	in	in	ADP
ejpam-5944	387	62	(	(	PUNCT
ejpam-5944	387	63	4.6	4.6	NUM
ejpam-5944	387	64	)	)	PUNCT
ejpam-5944	387	65	.	.	PUNCT
ejpam-5944	388	1	kamran	kamran	PROPN
ejpam-5944	388	2	et	et	PROPN
ejpam-5944	388	3	al	al	PROPN
ejpam-5944	388	4	.	.	PUNCT
ejpam-5944	388	5	/	/	SYM
ejpam-5944	388	6	eur	eur	PROPN
ejpam-5944	388	7	.	.	PUNCT
ejpam-5944	389	1	j.	j.	PROPN
ejpam-5944	389	2	pure	pure	PROPN
ejpam-5944	389	3	appl	appl	PROPN
ejpam-5944	389	4	.	.	PROPN
ejpam-5944	389	5	math	math	PROPN
ejpam-5944	389	6	,	,	PUNCT
ejpam-5944	389	7	18	18	NUM
ejpam-5944	389	8	(	(	PUNCT
ejpam-5944	389	9	2	2	NUM
ejpam-5944	389	10	)	)	PUNCT
ejpam-5944	389	11	(	(	PUNCT
ejpam-5944	389	12	2025	2025	NUM
ejpam-5944	389	13	)	)	PUNCT
ejpam-5944	389	14	,	,	PUNCT
ejpam-5944	389	15	5944	5944	NUM
ejpam-5944	389	16	28	28	NUM
ejpam-5944	389	17	of	of	ADP
ejpam-5944	389	18	32	32	NUM
ejpam-5944	389	19	0	0	NUM
ejpam-5944	389	20	500	500	NUM
ejpam-5944	389	21	1000	1000	NUM
ejpam-5944	389	22	1500	1500	NUM
ejpam-5944	389	23	2000	2000	NUM
ejpam-5944	389	24	2500	2500	NUM
ejpam-5944	389	25	t	t	NOUN
ejpam-5944	389	26	10	10	NUM
ejpam-5944	389	27	30	30	NUM
ejpam-5944	389	28	50	50	NUM
ejpam-5944	389	29	70	70	NUM
ejpam-5944	389	30	90	90	NUM
ejpam-5944	389	31	110	110	NUM
ejpam-5944	389	32	130	130	NUM
ejpam-5944	389	33	150	150	NUM
ejpam-5944	389	34	170	170	NUM
ejpam-5944	390	1	n	n	NOUN
ejpam-5944	390	2	=	=	SYM
ejpam-5944	390	3	1	1	NUM
ejpam-5944	390	4	=	=	SYM
ejpam-5944	390	5	0.95	0.95	NUM
ejpam-5944	390	6	=	=	NUM
ejpam-5944	390	7	0.90	0.90	NUM
ejpam-5944	390	8	figure	figure	NOUN
ejpam-5944	390	9	21	21	NUM
ejpam-5944	390	10	:	:	PUNCT
ejpam-5944	390	11	the	the	DET
ejpam-5944	390	12	numerical	numerical	ADJ
ejpam-5944	390	13	solution	solution	NOUN
ejpam-5944	390	14	n	n	PROPN
ejpam-5944	390	15	of	of	ADP
ejpam-5944	390	16	the	the	DET
ejpam-5944	390	17	problem	problem	NOUN
ejpam-5944	390	18	defined	define	VERB
ejpam-5944	390	19	in	in	ADP
ejpam-5944	390	20	(	(	PUNCT
ejpam-5944	390	21	2.4	2.4	NUM
ejpam-5944	390	22	)	)	PUNCT
ejpam-5944	390	23	with	with	ADP
ejpam-5944	390	24	parameters	parameter	NOUN
ejpam-5944	390	25	values	value	NOUN
ejpam-5944	390	26	(	(	PUNCT
ejpam-5944	390	27	4.5	4.5	NUM
ejpam-5944	390	28	)	)	PUNCT
ejpam-5944	390	29	and	and	CCONJ
ejpam-5944	390	30	initial	initial	ADJ
ejpam-5944	390	31	conditions	condition	NOUN
ejpam-5944	390	32	given	give	VERB
ejpam-5944	390	33	in	in	ADP
ejpam-5944	390	34	(	(	PUNCT
ejpam-5944	390	35	4.6	4.6	NUM
ejpam-5944	390	36	)	)	PUNCT
ejpam-5944	390	37	.	.	PUNCT
ejpam-5944	391	1	5	5	X
ejpam-5944	391	2	.	.	X
ejpam-5944	391	3	conclusions	conclusion	NOUN
ejpam-5944	391	4	in	in	ADP
ejpam-5944	391	5	this	this	DET
ejpam-5944	391	6	article	article	NOUN
ejpam-5944	391	7	,	,	PUNCT
ejpam-5944	391	8	we	we	PRON
ejpam-5944	391	9	successfully	successfully	ADV
ejpam-5944	391	10	developed	develop	VERB
ejpam-5944	391	11	and	and	CCONJ
ejpam-5944	391	12	applied	apply	VERB
ejpam-5944	391	13	the	the	DET
ejpam-5944	391	14	frk4	frk4	NOUN
ejpam-5944	391	15	method	method	NOUN
ejpam-5944	391	16	to	to	ADP
ejpam-5944	391	17	fractional	fractional	ADJ
ejpam-5944	391	18	differential	differential	ADJ
ejpam-5944	391	19	equations	equation	NOUN
ejpam-5944	391	20	(	(	PUNCT
ejpam-5944	391	21	fdes	fde	NOUN
ejpam-5944	391	22	)	)	PUNCT
ejpam-5944	391	23	arising	arise	VERB
ejpam-5944	391	24	in	in	ADP
ejpam-5944	391	25	fractional	fractional	ADJ
ejpam-5944	391	26	logistic	logistic	ADJ
ejpam-5944	391	27	growth	growth	NOUN
ejpam-5944	391	28	and	and	CCONJ
ejpam-5944	391	29	seir	seir	NOUN
ejpam-5944	391	30	models	model	NOUN
ejpam-5944	391	31	.	.	PUNCT
ejpam-5944	392	1	the	the	DET
ejpam-5944	392	2	results	result	NOUN
ejpam-5944	392	3	demonstrate	demonstrate	VERB
ejpam-5944	392	4	that	that	SCONJ
ejpam-5944	392	5	the	the	DET
ejpam-5944	392	6	frk4	frk4	NOUN
ejpam-5944	392	7	method	method	NOUN
ejpam-5944	392	8	is	be	AUX
ejpam-5944	392	9	a	a	DET
ejpam-5944	392	10	reliable	reliable	ADJ
ejpam-5944	392	11	and	and	CCONJ
ejpam-5944	392	12	effective	effective	ADJ
ejpam-5944	392	13	tool	tool	NOUN
ejpam-5944	392	14	for	for	ADP
ejpam-5944	392	15	approximating	approximate	VERB
ejpam-5944	392	16	solutions	solution	NOUN
ejpam-5944	392	17	to	to	ADP
ejpam-5944	392	18	fdes	fde	NOUN
ejpam-5944	392	19	in	in	ADP
ejpam-5944	392	20	complex	complex	ADJ
ejpam-5944	392	21	biological	biological	ADJ
ejpam-5944	392	22	systems	system	NOUN
ejpam-5944	392	23	.	.	PUNCT
ejpam-5944	393	1	by	by	ADP
ejpam-5944	393	2	employing	employ	VERB
ejpam-5944	393	3	the	the	DET
ejpam-5944	393	4	caputo	caputo	PROPN
ejpam-5944	393	5	derivative	derivative	NOUN
ejpam-5944	393	6	to	to	PART
ejpam-5944	393	7	describe	describe	VERB
ejpam-5944	393	8	fractional	fractional	ADJ
ejpam-5944	393	9	dynamics	dynamic	NOUN
ejpam-5944	393	10	,	,	PUNCT
ejpam-5944	393	11	we	we	PRON
ejpam-5944	393	12	effectively	effectively	ADV
ejpam-5944	393	13	captured	capture	VERB
ejpam-5944	393	14	the	the	DET
ejpam-5944	393	15	memory	memory	NOUN
ejpam-5944	393	16	and	and	CCONJ
ejpam-5944	393	17	hereditary	hereditary	ADJ
ejpam-5944	393	18	characteristics	characteristic	NOUN
ejpam-5944	393	19	inherent	inherent	ADJ
ejpam-5944	393	20	to	to	ADP
ejpam-5944	393	21	such	such	ADJ
ejpam-5944	393	22	systems	system	NOUN
ejpam-5944	393	23	.	.	PUNCT
ejpam-5944	394	1	the	the	DET
ejpam-5944	394	2	method	method	NOUN
ejpam-5944	394	3	proved	prove	VERB
ejpam-5944	394	4	particularly	particularly	ADV
ejpam-5944	394	5	advantageous	advantageous	ADJ
ejpam-5944	394	6	due	due	ADP
ejpam-5944	394	7	to	to	ADP
ejpam-5944	394	8	its	its	PRON
ejpam-5944	394	9	high	high	ADJ
ejpam-5944	394	10	accuracy	accuracy	NOUN
ejpam-5944	394	11	,	,	PUNCT
ejpam-5944	394	12	flexibility	flexibility	NOUN
ejpam-5944	394	13	in	in	ADP
ejpam-5944	394	14	handling	handle	VERB
ejpam-5944	394	15	different	different	ADJ
ejpam-5944	394	16	types	type	NOUN
ejpam-5944	394	17	of	of	ADP
ejpam-5944	394	18	fractional	fractional	ADJ
ejpam-5944	394	19	derivatives	derivative	NOUN
ejpam-5944	394	20	,	,	PUNCT
ejpam-5944	394	21	and	and	CCONJ
ejpam-5944	394	22	strong	strong	ADJ
ejpam-5944	394	23	numerical	numerical	ADJ
ejpam-5944	394	24	stability	stability	NOUN
ejpam-5944	394	25	,	,	PUNCT
ejpam-5944	394	26	even	even	ADV
ejpam-5944	394	27	in	in	ADP
ejpam-5944	394	28	nonlinear	nonlinear	ADJ
ejpam-5944	394	29	contexts	contexts	NOUN
ejpam-5944	394	30	.	.	PUNCT
ejpam-5944	395	1	however	however	ADV
ejpam-5944	395	2	,	,	PUNCT
ejpam-5944	395	3	these	these	DET
ejpam-5944	395	4	benefits	benefit	NOUN
ejpam-5944	395	5	come	come	VERB
ejpam-5944	395	6	with	with	ADP
ejpam-5944	395	7	an	an	DET
ejpam-5944	395	8	increased	increase	VERB
ejpam-5944	395	9	computational	computational	ADJ
ejpam-5944	395	10	cost	cost	NOUN
ejpam-5944	395	11	,	,	PUNCT
ejpam-5944	395	12	especially	especially	ADV
ejpam-5944	395	13	when	when	SCONJ
ejpam-5944	395	14	higher	high	ADJ
ejpam-5944	395	15	accuracy	accuracy	NOUN
ejpam-5944	395	16	is	be	AUX
ejpam-5944	395	17	sought	seek	VERB
ejpam-5944	395	18	through	through	ADP
ejpam-5944	395	19	finer	fine	ADJ
ejpam-5944	395	20	step	step	NOUN
ejpam-5944	395	21	sizes	size	NOUN
ejpam-5944	395	22	or	or	CCONJ
ejpam-5944	395	23	more	more	ADJ
ejpam-5944	395	24	evaluations	evaluation	NOUN
ejpam-5944	395	25	.	.	PUNCT
ejpam-5944	396	1	this	this	PRON
ejpam-5944	396	2	is	be	AUX
ejpam-5944	396	3	primarily	primarily	ADV
ejpam-5944	396	4	due	due	ADJ
ejpam-5944	396	5	to	to	ADP
ejpam-5944	396	6	the	the	DET
ejpam-5944	396	7	non	non	ADJ
ejpam-5944	396	8	-	-	ADJ
ejpam-5944	396	9	local	local	ADJ
ejpam-5944	396	10	nature	nature	NOUN
ejpam-5944	396	11	of	of	ADP
ejpam-5944	396	12	fractional	fractional	ADJ
ejpam-5944	396	13	derivatives	derivative	NOUN
ejpam-5944	396	14	,	,	PUNCT
ejpam-5944	396	15	which	which	PRON
ejpam-5944	396	16	require	require	VERB
ejpam-5944	396	17	integration	integration	NOUN
ejpam-5944	396	18	over	over	ADP
ejpam-5944	396	19	the	the	DET
ejpam-5944	396	20	entire	entire	ADJ
ejpam-5944	396	21	history	history	NOUN
ejpam-5944	396	22	of	of	ADP
ejpam-5944	396	23	the	the	DET
ejpam-5944	396	24	solution	solution	NOUN
ejpam-5944	396	25	.	.	PUNCT
ejpam-5944	397	1	despite	despite	SCONJ
ejpam-5944	397	2	this	this	DET
ejpam-5944	397	3	computational	computational	ADJ
ejpam-5944	397	4	overhead	overhead	NOUN
ejpam-5944	397	5	,	,	PUNCT
ejpam-5944	397	6	our	our	PRON
ejpam-5944	397	7	numerical	numerical	ADJ
ejpam-5944	397	8	experiments	experiment	NOUN
ejpam-5944	397	9	confirmed	confirm	VERB
ejpam-5944	397	10	the	the	DET
ejpam-5944	397	11	robustness	robustness	NOUN
ejpam-5944	397	12	and	and	CCONJ
ejpam-5944	397	13	superior	superior	ADJ
ejpam-5944	397	14	convergence	convergence	NOUN
ejpam-5944	397	15	properties	property	NOUN
ejpam-5944	397	16	of	of	ADP
ejpam-5944	397	17	the	the	DET
ejpam-5944	397	18	frk4	frk4	NOUN
ejpam-5944	397	19	method	method	NOUN
ejpam-5944	397	20	compared	compare	VERB
ejpam-5944	397	21	to	to	ADP
ejpam-5944	397	22	existing	exist	VERB
ejpam-5944	397	23	numerical	numerical	ADJ
ejpam-5944	397	24	approaches	approach	NOUN
ejpam-5944	397	25	.	.	PUNCT
ejpam-5944	398	1	this	this	DET
ejpam-5944	398	2	study	study	NOUN
ejpam-5944	398	3	not	not	PART
ejpam-5944	398	4	only	only	ADV
ejpam-5944	398	5	validates	validate	VERB
ejpam-5944	398	6	the	the	DET
ejpam-5944	398	7	applicability	applicability	NOUN
ejpam-5944	398	8	of	of	ADP
ejpam-5944	398	9	the	the	DET
ejpam-5944	398	10	frk4	frk4	NOUN
ejpam-5944	398	11	method	method	NOUN
ejpam-5944	398	12	to	to	PART
ejpam-5944	398	13	fractional	fractional	VERB
ejpam-5944	398	14	logistic	logistic	ADJ
ejpam-5944	398	15	and	and	CCONJ
ejpam-5944	398	16	seir	seir	NOUN
ejpam-5944	398	17	models	model	NOUN
ejpam-5944	398	18	but	but	CCONJ
ejpam-5944	398	19	also	also	ADV
ejpam-5944	398	20	provides	provide	VERB
ejpam-5944	398	21	a	a	DET
ejpam-5944	398	22	solid	solid	ADJ
ejpam-5944	398	23	foundation	foundation	NOUN
ejpam-5944	398	24	for	for	ADP
ejpam-5944	398	25	its	its	PRON
ejpam-5944	398	26	extension	extension	NOUN
ejpam-5944	398	27	to	to	ADP
ejpam-5944	398	28	a	a	DET
ejpam-5944	398	29	broader	broad	ADJ
ejpam-5944	398	30	range	range	NOUN
ejpam-5944	398	31	of	of	ADP
ejpam-5944	398	32	problems	problem	NOUN
ejpam-5944	398	33	involving	involve	VERB
ejpam-5944	398	34	fractional	fractional	ADJ
ejpam-5944	398	35	dynamics	dynamic	NOUN
ejpam-5944	398	36	.	.	PUNCT
ejpam-5944	399	1	acknowledgements	acknowledgement	VERB
ejpam-5944	399	2	the	the	DET
ejpam-5944	399	3	authors	author	NOUN
ejpam-5944	399	4	(	(	PUNCT
ejpam-5944	399	5	h.	h.	PROPN
ejpam-5944	399	6	khan	khan	PROPN
ejpam-5944	399	7	and	and	CCONJ
ejpam-5944	399	8	j.	j.	PROPN
ejpam-5944	399	9	alzabut	alzabut	PROPN
ejpam-5944	399	10	)	)	PUNCT
ejpam-5944	399	11	would	would	AUX
ejpam-5944	399	12	like	like	VERB
ejpam-5944	399	13	to	to	PART
ejpam-5944	399	14	thank	thank	VERB
ejpam-5944	399	15	prince	prince	PROPN
ejpam-5944	399	16	sultan	sultan	PROPN
ejpam-5944	399	17	university	university	PROPN
ejpam-5944	399	18	for	for	ADP
ejpam-5944	399	19	their	their	PRON
ejpam-5944	399	20	financial	financial	ADJ
ejpam-5944	399	21	support	support	NOUN
ejpam-5944	399	22	to	to	ADP
ejpam-5944	399	23	this	this	DET
ejpam-5944	399	24	work	work	NOUN
ejpam-5944	399	25	and	and	CCONJ
ejpam-5944	399	26	its	its	PRON
ejpam-5944	399	27	publication	publication	NOUN
ejpam-5944	399	28	.	.	PUNCT
ejpam-5944	400	1	kamran	kamran	PROPN
ejpam-5944	400	2	et	et	PROPN
ejpam-5944	400	3	al	al	PROPN
ejpam-5944	400	4	.	.	PUNCT
ejpam-5944	400	5	/	/	SYM
ejpam-5944	400	6	eur	eur	PROPN
ejpam-5944	400	7	.	.	PUNCT
ejpam-5944	401	1	j.	j.	PROPN
ejpam-5944	401	2	pure	pure	PROPN
ejpam-5944	401	3	appl	appl	PROPN
ejpam-5944	401	4	.	.	PROPN
ejpam-5944	401	5	math	math	PROPN
ejpam-5944	401	6	,	,	PUNCT
ejpam-5944	401	7	18	18	NUM
ejpam-5944	401	8	(	(	PUNCT
ejpam-5944	401	9	2	2	NUM
ejpam-5944	401	10	)	)	PUNCT
ejpam-5944	401	11	(	(	PUNCT
ejpam-5944	401	12	2025	2025	NUM
ejpam-5944	401	13	)	)	PUNCT
ejpam-5944	401	14	,	,	PUNCT
ejpam-5944	401	15	5944	5944	NUM
ejpam-5944	401	16	29	29	NUM
ejpam-5944	401	17	of	of	ADP
ejpam-5944	401	18	32	32	NUM
ejpam-5944	401	19	author	author	NOUN
ejpam-5944	401	20	contributions	contribution	NOUN
ejpam-5944	401	21	k	k	NOUN
ejpam-5944	401	22	:	:	PUNCT
ejpam-5944	401	23	writing	write	VERB
ejpam-5944	401	24	original	original	ADJ
ejpam-5944	401	25	draft	draft	NOUN
ejpam-5944	401	26	,	,	PUNCT
ejpam-5944	401	27	supervision	supervision	NOUN
ejpam-5944	401	28	.	.	PUNCT
ejpam-5944	402	1	s.m	s.m	PROPN
ejpam-5944	402	2	.	.	PROPN
ejpam-5944	402	3	:	:	PUNCT
ejpam-5944	402	4	validated	validate	VERB
ejpam-5944	402	5	the	the	DET
ejpam-5944	402	6	results	result	NOUN
ejpam-5944	402	7	,	,	PUNCT
ejpam-5944	402	8	conceptualization	conceptualization	NOUN
ejpam-5944	402	9	,	,	PUNCT
ejpam-5944	402	10	software	software	NOUN
ejpam-5944	402	11	.	.	PUNCT
ejpam-5944	403	1	h.k	h.k	AUX
ejpam-5944	403	2	.	.	PROPN
ejpam-5944	403	3	:	:	PUNCT
ejpam-5944	403	4	writing	write	VERB
ejpam-5944	403	5	original	original	ADJ
ejpam-5944	403	6	draft	draft	NOUN
ejpam-5944	403	7	,	,	PUNCT
ejpam-5944	403	8	investigation	investigation	NOUN
ejpam-5944	403	9	,	,	PUNCT
ejpam-5944	403	10	conceptualization	conceptualization	NOUN
ejpam-5944	403	11	.	.	PUNCT
ejpam-5944	404	1	r.t	r.t	PROPN
ejpam-5944	404	2	.	.	PROPN
ejpam-5944	404	3	:	:	PUNCT
ejpam-5944	404	4	validated	validate	VERB
ejpam-5944	404	5	the	the	DET
ejpam-5944	404	6	results	result	NOUN
ejpam-5944	404	7	,	,	PUNCT
ejpam-5944	404	8	conceptualization	conceptualization	NOUN
ejpam-5944	404	9	,	,	PUNCT
ejpam-5944	404	10	software	software	NOUN
ejpam-5944	404	11	.	.	PUNCT
ejpam-5944	405	1	j.a	j.a	PROPN
ejpam-5944	405	2	.	.	PROPN
ejpam-5944	405	3	:	:	PUNCT
ejpam-5944	406	1	supervision	supervision	NOUN
ejpam-5944	406	2	,	,	PUNCT
ejpam-5944	406	3	review	review	NOUN
ejpam-5944	406	4	manuscript	manuscript	NOUN
ejpam-5944	406	5	,	,	PUNCT
ejpam-5944	406	6	editing	editing	NOUN
ejpam-5944	406	7	.	.	PUNCT
ejpam-5944	407	1	declaration	declaration	NOUN
ejpam-5944	407	2	of	of	ADP
ejpam-5944	407	3	competing	compete	VERB
ejpam-5944	407	4	interest	interest	NOUN
ejpam-5944	407	5	the	the	DET
ejpam-5944	407	6	authors	author	NOUN
ejpam-5944	407	7	declare	declare	VERB
ejpam-5944	407	8	no	no	DET
ejpam-5944	407	9	competing	compete	VERB
ejpam-5944	407	10	interests	interest	NOUN
ejpam-5944	407	11	.	.	PUNCT
ejpam-5944	408	1	data	datum	NOUN
ejpam-5944	408	2	availability	availability	NOUN
ejpam-5944	408	3	the	the	DET
ejpam-5944	408	4	data	data	NOUN
ejpam-5944	408	5	is	be	AUX
ejpam-5944	408	6	contained	contain	VERB
ejpam-5944	408	7	within	within	ADP
ejpam-5944	408	8	the	the	DET
ejpam-5944	408	9	article	article	NOUN
ejpam-5944	408	10	.	.	PUNCT
ejpam-5944	409	1	references	reference	NOUN
ejpam-5944	409	2	[	[	X
ejpam-5944	409	3	1	1	X
ejpam-5944	409	4	]	]	PUNCT
ejpam-5944	409	5	a	a	DET
ejpam-5944	409	6	kilbas	kilbas	PROPN
ejpam-5944	409	7	,	,	PUNCT
ejpam-5944	409	8	aleksandrovich	aleksandrovich	NOUN
ejpam-5944	409	9	,	,	PUNCT
ejpam-5944	409	10	h	h	PROPN
ejpam-5944	409	11	m	m	PROPN
ejpam-5944	409	12	srivastava	srivastava	PROPN
ejpam-5944	409	13	,	,	PUNCT
ejpam-5944	409	14	and	and	CCONJ
ejpam-5944	409	15	j	j	PROPN
ejpam-5944	409	16	j	j	PROPN
ejpam-5944	409	17	trujillo	trujillo	PROPN
ejpam-5944	409	18	.	.	PUNCT
ejpam-5944	409	19	theory	theory	NOUN
ejpam-5944	409	20	and	and	CCONJ
ejpam-5944	409	21	applications	application	NOUN
ejpam-5944	409	22	of	of	ADP
ejpam-5944	409	23	fractional	fractional	ADJ
ejpam-5944	409	24	differential	differential	ADJ
ejpam-5944	409	25	equations	equation	NOUN
ejpam-5944	409	26	,	,	PUNCT
ejpam-5944	409	27	volume	volume	NOUN
ejpam-5944	409	28	204	204	NUM
ejpam-5944	409	29	.	.	PUNCT
ejpam-5944	410	1	elsevier	elsevier	NOUN
ejpam-5944	410	2	,	,	PUNCT
ejpam-5944	410	3	2006	2006	NUM
ejpam-5944	410	4	.	.	PUNCT
ejpam-5944	411	1	[	[	X
ejpam-5944	411	2	2	2	X
ejpam-5944	411	3	]	]	PUNCT
ejpam-5944	411	4	i	i	PRON
ejpam-5944	411	5	podlubny	podlubny	NOUN
ejpam-5944	411	6	.	.	PUNCT
ejpam-5944	412	1	fractional	fractional	ADJ
ejpam-5944	412	2	differential	differential	ADJ
ejpam-5944	412	3	equations	equation	NOUN
ejpam-5944	412	4	:	:	PUNCT
ejpam-5944	412	5	an	an	DET
ejpam-5944	412	6	introduction	introduction	NOUN
ejpam-5944	412	7	to	to	ADP
ejpam-5944	412	8	fractional	fractional	ADJ
ejpam-5944	412	9	derivatives	derivative	NOUN
ejpam-5944	412	10	,	,	PUNCT
ejpam-5944	412	11	fractional	fractional	ADJ
ejpam-5944	412	12	differential	differential	ADJ
ejpam-5944	412	13	equations	equation	NOUN
ejpam-5944	412	14	,	,	PUNCT
ejpam-5944	412	15	to	to	ADP
ejpam-5944	412	16	methods	method	NOUN
ejpam-5944	412	17	of	of	ADP
ejpam-5944	412	18	their	their	PRON
ejpam-5944	412	19	solution	solution	NOUN
ejpam-5944	412	20	and	and	CCONJ
ejpam-5944	412	21	some	some	PRON
ejpam-5944	412	22	of	of	ADP
ejpam-5944	412	23	their	their	PRON
ejpam-5944	412	24	applications	application	NOUN
ejpam-5944	412	25	,	,	PUNCT
ejpam-5944	412	26	volume	volume	NOUN
ejpam-5944	412	27	198	198	NUM
ejpam-5944	412	28	.	.	PUNCT
ejpam-5944	413	1	elsevier	elsevier	NOUN
ejpam-5944	413	2	,	,	PUNCT
ejpam-5944	413	3	1998	1998	NUM
ejpam-5944	413	4	.	.	PUNCT
ejpam-5944	414	1	[	[	X
ejpam-5944	414	2	3	3	NUM
ejpam-5944	414	3	]	]	X
ejpam-5944	414	4	c	c	PROPN
ejpam-5944	414	5	drapaca	drapaca	PROPN
ejpam-5944	414	6	.	.	PUNCT
ejpam-5944	414	7	fractional	fractional	ADJ
ejpam-5944	414	8	calculus	calculus	NOUN
ejpam-5944	414	9	in	in	ADP
ejpam-5944	414	10	neuronal	neuronal	ADJ
ejpam-5944	414	11	electromechanics	electromechanic	NOUN
ejpam-5944	414	12	.	.	PUNCT
ejpam-5944	415	1	journal	journal	PROPN
ejpam-5944	415	2	of	of	ADP
ejpam-5944	415	3	mechanics	mechanic	NOUN
ejpam-5944	415	4	of	of	ADP
ejpam-5944	415	5	materials	material	NOUN
ejpam-5944	415	6	and	and	CCONJ
ejpam-5944	415	7	structures	structure	NOUN
ejpam-5944	415	8	,	,	PUNCT
ejpam-5944	415	9	12(1):35–55	12(1):35–55	NUM
ejpam-5944	415	10	,	,	PUNCT
ejpam-5944	415	11	2016	2016	NUM
ejpam-5944	415	12	.	.	PUNCT
ejpam-5944	416	1	[	[	X
ejpam-5944	416	2	4	4	X
ejpam-5944	416	3	]	]	PUNCT
ejpam-5944	416	4	a	a	DET
ejpam-5944	416	5	carpinteri	carpinteri	NOUN
ejpam-5944	416	6	and	and	CCONJ
ejpam-5944	416	7	f	f	PROPN
ejpam-5944	416	8	mainardi	mainardi	PROPN
ejpam-5944	416	9	.	.	PUNCT
ejpam-5944	417	1	fractals	fractal	NOUN
ejpam-5944	417	2	and	and	CCONJ
ejpam-5944	417	3	fractional	fractional	ADJ
ejpam-5944	417	4	calculus	calculus	NOUN
ejpam-5944	417	5	in	in	ADP
ejpam-5944	417	6	continuum	continuum	ADJ
ejpam-5944	417	7	mechanics	mechanic	NOUN
ejpam-5944	417	8	,	,	PUNCT
ejpam-5944	417	9	volume	volume	NOUN
ejpam-5944	417	10	378	378	NUM
ejpam-5944	417	11	.	.	PUNCT
ejpam-5944	417	12	springer	springer	NOUN
ejpam-5944	417	13	,	,	PUNCT
ejpam-5944	417	14	2014	2014	NUM
ejpam-5944	417	15	.	.	PUNCT
ejpam-5944	418	1	[	[	X
ejpam-5944	418	2	5	5	NUM
ejpam-5944	418	3	]	]	PUNCT
ejpam-5944	418	4	l	l	NOUN
ejpam-5944	418	5	k	k	PROPN
ejpam-5944	418	6	b	b	PROPN
ejpam-5944	418	7	kuroda	kuroda	PROPN
ejpam-5944	418	8	,	,	PUNCT
ejpam-5944	418	9	a	a	DET
ejpam-5944	418	10	v	v	NOUN
ejpam-5944	418	11	gomes	gome	NOUN
ejpam-5944	418	12	,	,	PUNCT
ejpam-5944	418	13	r	r	NOUN
ejpam-5944	418	14	tavoni	tavoni	NOUN
ejpam-5944	418	15	,	,	PUNCT
ejpam-5944	418	16	p	p	PROPN
ejpam-5944	418	17	f	f	PROPN
ejpam-5944	418	18	de	de	PROPN
ejpam-5944	418	19	arruda	arruda	PROPN
ejpam-5944	418	20	mancera	mancera	PROPN
ejpam-5944	418	21	,	,	PUNCT
ejpam-5944	418	22	n	n	PRON
ejpam-5944	418	23	varalta	varalta	NOUN
ejpam-5944	418	24	,	,	PUNCT
ejpam-5944	418	25	and	and	CCONJ
ejpam-5944	418	26	r	r	PROPN
ejpam-5944	418	27	de	de	PROPN
ejpam-5944	418	28	figueiredo	figueiredo	PROPN
ejpam-5944	418	29	camargo	camargo	PROPN
ejpam-5944	418	30	.	.	PUNCT
ejpam-5944	419	1	unexpected	unexpected	ADJ
ejpam-5944	419	2	behavior	behavior	NOUN
ejpam-5944	419	3	of	of	ADP
ejpam-5944	419	4	caputo	caputo	PROPN
ejpam-5944	419	5	fractional	fractional	PROPN
ejpam-5944	419	6	derivative	derivative	PROPN
ejpam-5944	419	7	.	.	PUNCT
ejpam-5944	420	1	computational	computational	ADJ
ejpam-5944	420	2	and	and	CCONJ
ejpam-5944	420	3	applied	applied	ADJ
ejpam-5944	420	4	mathematics	mathematic	NOUN
ejpam-5944	420	5	,	,	PUNCT
ejpam-5944	420	6	36(3):1173–1183	36(3):1173–1183	NUM
ejpam-5944	420	7	,	,	PUNCT
ejpam-5944	420	8	2017	2017	NUM
ejpam-5944	420	9	.	.	PUNCT
ejpam-5944	421	1	[	[	X
ejpam-5944	421	2	6	6	NUM
ejpam-5944	421	3	]	]	PUNCT
ejpam-5944	421	4	n	n	PRON
ejpam-5944	421	5	djeddi	djeddi	NOUN
ejpam-5944	421	6	,	,	PUNCT
ejpam-5944	421	7	s	s	PROPN
ejpam-5944	421	8	hasan	hasan	PROPN
ejpam-5944	421	9	,	,	PUNCT
ejpam-5944	421	10	m	m	PROPN
ejpam-5944	421	11	al	al	PROPN
ejpam-5944	421	12	-	-	PUNCT
ejpam-5944	421	13	smadi	smadi	NOUN
ejpam-5944	421	14	,	,	PUNCT
ejpam-5944	421	15	and	and	CCONJ
ejpam-5944	421	16	s	s	VERB
ejpam-5944	421	17	momani	momani	NOUN
ejpam-5944	421	18	.	.	PUNCT
ejpam-5944	422	1	modified	modify	VERB
ejpam-5944	422	2	analytical	analytical	ADJ
ejpam-5944	422	3	approach	approach	NOUN
ejpam-5944	422	4	for	for	ADP
ejpam-5944	422	5	generalized	generalized	ADJ
ejpam-5944	422	6	quadratic	quadratic	ADJ
ejpam-5944	422	7	and	and	CCONJ
ejpam-5944	422	8	cubic	cubic	ADJ
ejpam-5944	422	9	logistic	logistic	ADJ
ejpam-5944	422	10	models	model	NOUN
ejpam-5944	422	11	with	with	ADP
ejpam-5944	422	12	caputo	caputo	PROPN
ejpam-5944	422	13	-	-	PUNCT
ejpam-5944	422	14	fabrizio	fabrizio	PROPN
ejpam-5944	422	15	fractional	fractional	PROPN
ejpam-5944	422	16	derivative	derivative	NOUN
ejpam-5944	422	17	.	.	PUNCT
ejpam-5944	423	1	alexandria	alexandria	PROPN
ejpam-5944	423	2	engineering	engineering	PROPN
ejpam-5944	423	3	journal	journal	PROPN
ejpam-5944	423	4	,	,	PUNCT
ejpam-5944	423	5	59(6):5111–5122	59(6):5111–5122	NUM
ejpam-5944	423	6	,	,	PUNCT
ejpam-5944	423	7	2020	2020	NUM
ejpam-5944	423	8	.	.	PUNCT
ejpam-5944	424	1	[	[	X
ejpam-5944	424	2	7	7	NUM
ejpam-5944	424	3	]	]	X
ejpam-5944	424	4	s	s	VERB
ejpam-5944	424	5	arshad	arshad	VERB
ejpam-5944	424	6	,	,	PUNCT
ejpam-5944	424	7	a	a	DET
ejpam-5944	424	8	sohail	sohail	NOUN
ejpam-5944	424	9	,	,	PUNCT
ejpam-5944	424	10	and	and	CCONJ
ejpam-5944	424	11	k	k	PROPN
ejpam-5944	424	12	maqbool	maqbool	PROPN
ejpam-5944	424	13	.	.	PUNCT
ejpam-5944	425	1	nonlinear	nonlinear	ADJ
ejpam-5944	425	2	shallow	shallow	ADJ
ejpam-5944	425	3	water	water	NOUN
ejpam-5944	425	4	waves	wave	NOUN
ejpam-5944	425	5	:	:	PUNCT
ejpam-5944	425	6	a	a	DET
ejpam-5944	425	7	fractional	fractional	ADJ
ejpam-5944	425	8	order	order	NOUN
ejpam-5944	425	9	approach	approach	NOUN
ejpam-5944	425	10	.	.	PUNCT
ejpam-5944	426	1	alexandria	alexandria	PROPN
ejpam-5944	426	2	engineering	engineering	PROPN
ejpam-5944	426	3	journal	journal	PROPN
ejpam-5944	426	4	,	,	PUNCT
ejpam-5944	426	5	55(1):525–532	55(1):525–532	PROPN
ejpam-5944	426	6	,	,	PUNCT
ejpam-5944	426	7	2016	2016	NUM
ejpam-5944	426	8	.	.	PUNCT
ejpam-5944	427	1	[	[	X
ejpam-5944	427	2	8	8	NUM
ejpam-5944	427	3	]	]	X
ejpam-5944	427	4	x	x	X
ejpam-5944	427	5	liu	liu	PROPN
ejpam-5944	427	6	,	,	PUNCT
ejpam-5944	427	7	kamran	kamran	PROPN
ejpam-5944	427	8	,	,	PUNCT
ejpam-5944	427	9	and	and	CCONJ
ejpam-5944	427	10	y	y	PROPN
ejpam-5944	427	11	yao	yao	PROPN
ejpam-5944	427	12	.	.	PUNCT
ejpam-5944	428	1	numerical	numerical	PROPN
ejpam-5944	428	2	approximation	approximation	NOUN
ejpam-5944	428	3	of	of	ADP
ejpam-5944	428	4	riccati	riccati	PROPN
ejpam-5944	428	5	fractional	fractional	ADJ
ejpam-5944	428	6	differential	differential	NOUN
ejpam-5944	428	7	equation	equation	NOUN
ejpam-5944	428	8	in	in	ADP
ejpam-5944	428	9	the	the	DET
ejpam-5944	428	10	sense	sense	NOUN
ejpam-5944	428	11	of	of	ADP
ejpam-5944	428	12	caputo	caputo	NOUN
ejpam-5944	428	13	-	-	PUNCT
ejpam-5944	428	14	type	type	NOUN
ejpam-5944	428	15	fractional	fractional	ADJ
ejpam-5944	428	16	derivative	derivative	NOUN
ejpam-5944	428	17	.	.	PUNCT
ejpam-5944	429	1	journal	journal	PROPN
ejpam-5944	429	2	of	of	ADP
ejpam-5944	429	3	mathematics	mathematic	NOUN
ejpam-5944	429	4	,	,	PUNCT
ejpam-5944	429	5	2020(1):1274251	2020(1):1274251	NUM
ejpam-5944	429	6	,	,	PUNCT
ejpam-5944	429	7	2020	2020	NUM
ejpam-5944	429	8	.	.	PUNCT
ejpam-5944	430	1	[	[	X
ejpam-5944	430	2	9	9	NUM
ejpam-5944	430	3	]	]	SYM
ejpam-5944	430	4	x	x	PROPN
ejpam-5944	430	5	j	j	PROPN
ejpam-5944	430	6	yang	yang	PROPN
ejpam-5944	430	7	,	,	PUNCT
ejpam-5944	430	8	jat	jat	PROPN
ejpam-5944	430	9	machado	machado	PROPN
ejpam-5944	430	10	,	,	PUNCT
ejpam-5944	430	11	and	and	CCONJ
ejpam-5944	430	12	hm	hm	INTJ
ejpam-5944	430	13	srivastava	srivastava	PROPN
ejpam-5944	430	14	.	.	PUNCT
ejpam-5944	431	1	a	a	DET
ejpam-5944	431	2	new	new	ADJ
ejpam-5944	431	3	numerical	numerical	ADJ
ejpam-5944	431	4	technique	technique	NOUN
ejpam-5944	431	5	for	for	ADP
ejpam-5944	431	6	solving	solve	VERB
ejpam-5944	431	7	the	the	DET
ejpam-5944	431	8	local	local	ADJ
ejpam-5944	431	9	fractional	fractional	ADJ
ejpam-5944	431	10	diffusion	diffusion	NOUN
ejpam-5944	431	11	equation	equation	NOUN
ejpam-5944	431	12	:	:	PUNCT
ejpam-5944	431	13	two	two	NUM
ejpam-5944	431	14	-	-	PUNCT
ejpam-5944	431	15	dimensional	dimensional	ADJ
ejpam-5944	431	16	extended	extended	ADJ
ejpam-5944	431	17	differential	differential	NOUN
ejpam-5944	431	18	transform	transform	NOUN
ejpam-5944	431	19	approach	approach	NOUN
ejpam-5944	431	20	.	.	PUNCT
ejpam-5944	432	1	applied	apply	VERB
ejpam-5944	432	2	mathematics	mathematic	NOUN
ejpam-5944	432	3	and	and	CCONJ
ejpam-5944	432	4	computation	computation	NOUN
ejpam-5944	432	5	,	,	PUNCT
ejpam-5944	432	6	274:143–151	274:143–151	NUM
ejpam-5944	432	7	,	,	PUNCT
ejpam-5944	432	8	2016	2016	NUM
ejpam-5944	432	9	.	.	PUNCT
ejpam-5944	433	1	kamran	kamran	PROPN
ejpam-5944	433	2	et	et	PROPN
ejpam-5944	433	3	al	al	PROPN
ejpam-5944	433	4	.	.	PUNCT
ejpam-5944	433	5	/	/	SYM
ejpam-5944	433	6	eur	eur	PROPN
ejpam-5944	433	7	.	.	PUNCT
ejpam-5944	434	1	j.	j.	PROPN
ejpam-5944	434	2	pure	pure	PROPN
ejpam-5944	434	3	appl	appl	PROPN
ejpam-5944	434	4	.	.	PROPN
ejpam-5944	434	5	math	math	PROPN
ejpam-5944	434	6	,	,	PUNCT
ejpam-5944	434	7	18	18	NUM
ejpam-5944	434	8	(	(	PUNCT
ejpam-5944	434	9	2	2	NUM
ejpam-5944	434	10	)	)	PUNCT
ejpam-5944	434	11	(	(	PUNCT
ejpam-5944	434	12	2025	2025	NUM
ejpam-5944	434	13	)	)	PUNCT
ejpam-5944	434	14	,	,	PUNCT
ejpam-5944	434	15	5944	5944	NUM
ejpam-5944	434	16	30	30	NUM
ejpam-5944	434	17	of	of	ADP
ejpam-5944	434	18	32	32	NUM
ejpam-5944	435	1	[	[	SYM
ejpam-5944	435	2	10	10	NUM
ejpam-5944	435	3	]	]	SYM
ejpam-5944	435	4	x	x	SYM
ejpam-5944	435	5	yang	yang	PROPN
ejpam-5944	435	6	,	,	PUNCT
ejpam-5944	435	7	hm	hm	X
ejpam-5944	435	8	srivastava	srivastava	PROPN
ejpam-5944	435	9	,	,	PUNCT
ejpam-5944	435	10	and	and	CCONJ
ejpam-5944	435	11	c	c	PROPN
ejpam-5944	435	12	cattani	cattani	PROPN
ejpam-5944	435	13	.	.	PUNCT
ejpam-5944	436	1	local	local	ADJ
ejpam-5944	436	2	fractional	fractional	PROPN
ejpam-5944	436	3	homotopy	homotopy	NOUN
ejpam-5944	436	4	perturbation	perturbation	NOUN
ejpam-5944	436	5	method	method	NOUN
ejpam-5944	436	6	for	for	ADP
ejpam-5944	436	7	solving	solve	VERB
ejpam-5944	436	8	fractal	fractal	ADJ
ejpam-5944	436	9	partial	partial	ADJ
ejpam-5944	436	10	differential	differential	NOUN
ejpam-5944	436	11	equations	equation	NOUN
ejpam-5944	436	12	arising	arise	VERB
ejpam-5944	436	13	in	in	ADP
ejpam-5944	436	14	mathematical	mathematical	ADJ
ejpam-5944	436	15	physics	physics	NOUN
ejpam-5944	436	16	.	.	PUNCT
ejpam-5944	437	1	romanian	romanian	ADJ
ejpam-5944	437	2	reports	report	NOUN
ejpam-5944	437	3	in	in	ADP
ejpam-5944	437	4	physics	physics	NOUN
ejpam-5944	437	5	,	,	PUNCT
ejpam-5944	437	6	67(3):752–761	67(3):752–761	NOUN
ejpam-5944	437	7	,	,	PUNCT
ejpam-5944	437	8	2015	2015	NUM
ejpam-5944	437	9	.	.	PUNCT
ejpam-5944	438	1	[	[	X
ejpam-5944	438	2	11	11	NUM
ejpam-5944	438	3	]	]	X
ejpam-5944	438	4	f	f	PROPN
ejpam-5944	438	5	mohammadi	mohammadi	NOUN
ejpam-5944	438	6	and	and	CCONJ
ejpam-5944	438	7	c	c	NOUN
ejpam-5944	438	8	cattani	cattani	PROPN
ejpam-5944	438	9	.	.	PUNCT
ejpam-5944	439	1	a	a	DET
ejpam-5944	439	2	generalized	generalize	VERB
ejpam-5944	439	3	fractional	fractional	ADJ
ejpam-5944	439	4	-	-	PUNCT
ejpam-5944	439	5	order	order	NOUN
ejpam-5944	439	6	legendre	legendre	PROPN
ejpam-5944	439	7	wavelet	wavelet	PROPN
ejpam-5944	439	8	tau	tau	PROPN
ejpam-5944	439	9	method	method	NOUN
ejpam-5944	439	10	for	for	ADP
ejpam-5944	439	11	solving	solve	VERB
ejpam-5944	439	12	fractional	fractional	ADJ
ejpam-5944	439	13	differential	differential	ADJ
ejpam-5944	439	14	equations	equation	NOUN
ejpam-5944	439	15	.	.	PUNCT
ejpam-5944	440	1	journal	journal	NOUN
ejpam-5944	440	2	of	of	ADP
ejpam-5944	440	3	computational	computational	ADJ
ejpam-5944	440	4	and	and	CCONJ
ejpam-5944	440	5	applied	applied	ADJ
ejpam-5944	440	6	mathematics	mathematic	NOUN
ejpam-5944	440	7	,	,	PUNCT
ejpam-5944	440	8	339:306–316	339:306–316	NUM
ejpam-5944	440	9	,	,	PUNCT
ejpam-5944	440	10	2018	2018	NUM
ejpam-5944	440	11	.	.	PUNCT
ejpam-5944	441	1	[	[	X
ejpam-5944	441	2	12	12	NUM
ejpam-5944	441	3	]	]	X
ejpam-5944	441	4	j	j	PROPN
ejpam-5944	441	5	wang	wang	PROPN
ejpam-5944	441	6	,	,	PUNCT
ejpam-5944	441	7	kamran	kamran	PROPN
ejpam-5944	441	8	,	,	PUNCT
ejpam-5944	441	9	a	a	DET
ejpam-5944	441	10	jamal	jamal	PROPN
ejpam-5944	441	11	,	,	PUNCT
ejpam-5944	441	12	and	and	CCONJ
ejpam-5944	441	13	x	x	SYM
ejpam-5944	441	14	li	li	PROPN
ejpam-5944	441	15	.	.	PROPN
ejpam-5944	441	16	numerical	numerical	ADJ
ejpam-5944	441	17	solution	solution	NOUN
ejpam-5944	441	18	of	of	ADP
ejpam-5944	441	19	fractional	fractional	ADJ
ejpam-5944	441	20	-	-	PUNCT
ejpam-5944	441	21	order	order	NOUN
ejpam-5944	441	22	fredholm	fredholm	NOUN
ejpam-5944	441	23	integrodifferential	integrodifferential	ADJ
ejpam-5944	441	24	equation	equation	NOUN
ejpam-5944	441	25	in	in	ADP
ejpam-5944	441	26	the	the	DET
ejpam-5944	441	27	sense	sense	NOUN
ejpam-5944	441	28	of	of	ADP
ejpam-5944	441	29	atangana	atangana	PROPN
ejpam-5944	441	30	–	–	PUNCT
ejpam-5944	441	31	baleanu	baleanu	ADJ
ejpam-5944	441	32	derivative	derivative	NOUN
ejpam-5944	441	33	.	.	PUNCT
ejpam-5944	442	1	mathematical	mathematical	ADJ
ejpam-5944	442	2	problems	problem	NOUN
ejpam-5944	442	3	in	in	ADP
ejpam-5944	442	4	engineering	engineering	NOUN
ejpam-5944	442	5	,	,	PUNCT
ejpam-5944	442	6	2021(1):6662808	2021(1):6662808	NUM
ejpam-5944	442	7	,	,	PUNCT
ejpam-5944	442	8	2021	2021	NUM
ejpam-5944	442	9	.	.	PUNCT
ejpam-5944	443	1	[	[	X
ejpam-5944	443	2	13	13	NUM
ejpam-5944	443	3	]	]	X
ejpam-5944	443	4	x	x	SYM
ejpam-5944	443	5	qiang	qiang	PROPN
ejpam-5944	443	6	,	,	PUNCT
ejpam-5944	443	7	kamran	kamran	PROPN
ejpam-5944	443	8	,	,	PUNCT
ejpam-5944	443	9	a	a	DET
ejpam-5944	443	10	mahboob	mahboob	NOUN
ejpam-5944	443	11	,	,	PUNCT
ejpam-5944	443	12	and	and	CCONJ
ejpam-5944	443	13	y	y	PROPN
ejpam-5944	443	14	chu	chu	PROPN
ejpam-5944	443	15	.	.	PROPN
ejpam-5944	443	16	numerical	numerical	PROPN
ejpam-5944	443	17	approximation	approximation	NOUN
ejpam-5944	443	18	of	of	ADP
ejpam-5944	443	19	fractional	fractional	ADJ
ejpam-5944	443	20	-	-	PUNCT
ejpam-5944	443	21	order	order	NOUN
ejpam-5944	443	22	volterra	volterra	NOUN
ejpam-5944	443	23	integrodifferential	integrodifferential	ADJ
ejpam-5944	443	24	equation	equation	NOUN
ejpam-5944	443	25	.	.	PUNCT
ejpam-5944	444	1	journal	journal	NOUN
ejpam-5944	444	2	of	of	ADP
ejpam-5944	444	3	function	function	NOUN
ejpam-5944	444	4	spaces	space	NOUN
ejpam-5944	444	5	,	,	PUNCT
ejpam-5944	444	6	2020(1):8875792	2020(1):8875792	NUM
ejpam-5944	444	7	,	,	PUNCT
ejpam-5944	444	8	2020	2020	NUM
ejpam-5944	444	9	.	.	PUNCT
ejpam-5944	445	1	[	[	X
ejpam-5944	445	2	14	14	NUM
ejpam-5944	445	3	]	]	SYM
ejpam-5944	445	4	s	s	X
ejpam-5944	445	5	momani	momani	NOUN
ejpam-5944	445	6	and	and	CCONJ
ejpam-5944	445	7	z	z	PROPN
ejpam-5944	445	8	odibat	odibat	NOUN
ejpam-5944	445	9	.	.	PUNCT
ejpam-5944	446	1	numerical	numerical	PROPN
ejpam-5944	446	2	comparison	comparison	NOUN
ejpam-5944	446	3	of	of	ADP
ejpam-5944	446	4	methods	method	NOUN
ejpam-5944	446	5	for	for	ADP
ejpam-5944	446	6	solving	solve	VERB
ejpam-5944	446	7	linear	linear	PROPN
ejpam-5944	446	8	differential	differential	ADJ
ejpam-5944	446	9	equations	equation	NOUN
ejpam-5944	446	10	of	of	ADP
ejpam-5944	446	11	fractional	fractional	ADJ
ejpam-5944	446	12	order	order	NOUN
ejpam-5944	446	13	.	.	PUNCT
ejpam-5944	447	1	chaos	chaos	NOUN
ejpam-5944	447	2	,	,	PUNCT
ejpam-5944	447	3	solitons	soliton	NOUN
ejpam-5944	447	4	&	&	CCONJ
ejpam-5944	447	5	fractals	fractal	NOUN
ejpam-5944	447	6	,	,	PUNCT
ejpam-5944	447	7	31(5):1248–1255	31(5):1248–1255	NUM
ejpam-5944	447	8	,	,	PUNCT
ejpam-5944	447	9	2007	2007	NUM
ejpam-5944	447	10	.	.	PUNCT
ejpam-5944	448	1	[	[	X
ejpam-5944	448	2	15	15	NUM
ejpam-5944	448	3	]	]	X
ejpam-5944	448	4	s	s	VERB
ejpam-5944	448	5	arshad	arshad	VERB
ejpam-5944	448	6	,	,	PUNCT
ejpam-5944	448	7	a	a	DET
ejpam-5944	448	8	m	m	NOUN
ejpam-5944	448	9	siddiqui	siddiqui	NOUN
ejpam-5944	448	10	,	,	PUNCT
ejpam-5944	448	11	a	a	DET
ejpam-5944	448	12	sohail	sohail	NOUN
ejpam-5944	448	13	,	,	PUNCT
ejpam-5944	448	14	k	k	PROPN
ejpam-5944	448	15	maqbool	maqbool	PROPN
ejpam-5944	448	16	,	,	PUNCT
ejpam-5944	448	17	and	and	CCONJ
ejpam-5944	448	18	z	z	PROPN
ejpam-5944	448	19	li	li	PROPN
ejpam-5944	448	20	.	.	PROPN
ejpam-5944	448	21	comparison	comparison	NOUN
ejpam-5944	448	22	of	of	ADP
ejpam-5944	448	23	optimal	optimal	ADJ
ejpam-5944	448	24	homotopy	homotopy	NOUN
ejpam-5944	448	25	analysis	analysis	NOUN
ejpam-5944	448	26	method	method	NOUN
ejpam-5944	448	27	and	and	CCONJ
ejpam-5944	448	28	fractional	fractional	ADJ
ejpam-5944	448	29	homotopy	homotopy	NOUN
ejpam-5944	448	30	analysis	analysis	NOUN
ejpam-5944	448	31	transform	transform	NOUN
ejpam-5944	448	32	method	method	NOUN
ejpam-5944	448	33	for	for	ADP
ejpam-5944	448	34	the	the	DET
ejpam-5944	448	35	dynamical	dynamical	ADJ
ejpam-5944	448	36	analysis	analysis	NOUN
ejpam-5944	448	37	of	of	ADP
ejpam-5944	448	38	fractional	fractional	ADJ
ejpam-5944	448	39	order	order	NOUN
ejpam-5944	448	40	optical	optical	ADJ
ejpam-5944	448	41	solitons	soliton	NOUN
ejpam-5944	448	42	.	.	PUNCT
ejpam-5944	449	1	advances	advance	NOUN
ejpam-5944	449	2	in	in	ADP
ejpam-5944	449	3	mechanical	mechanical	ADJ
ejpam-5944	449	4	engineering	engineering	NOUN
ejpam-5944	449	5	,	,	PUNCT
ejpam-5944	449	6	9(3):1687814017692946	9(3):1687814017692946	PROPN
ejpam-5944	449	7	,	,	PUNCT
ejpam-5944	449	8	2017	2017	NUM
ejpam-5944	449	9	.	.	PUNCT
ejpam-5944	450	1	[	[	X
ejpam-5944	450	2	16	16	NUM
ejpam-5944	450	3	]	]	X
ejpam-5944	450	4	mht	mht	PROPN
ejpam-5944	450	5	alshbool	alshbool	NOUN
ejpam-5944	450	6	,	,	PUNCT
ejpam-5944	450	7	as	as	ADP
ejpam-5944	450	8	bataineh	bataineh	PROPN
ejpam-5944	450	9	,	,	PUNCT
ejpam-5944	450	10	i	i	PRON
ejpam-5944	450	11	hashim	hashim	PROPN
ejpam-5944	450	12	,	,	PUNCT
ejpam-5944	450	13	and	and	CCONJ
ejpam-5944	450	14	osman	osman	PROPN
ejpam-5944	450	15	rasit	rasit	PROPN
ejpam-5944	450	16	isik	isik	PROPN
ejpam-5944	450	17	.	.	PUNCT
ejpam-5944	451	1	solution	solution	NOUN
ejpam-5944	451	2	of	of	ADP
ejpam-5944	451	3	fractionalorder	fractionalorder	PROPN
ejpam-5944	451	4	differential	differential	ADJ
ejpam-5944	451	5	equations	equation	NOUN
ejpam-5944	451	6	based	base	VERB
ejpam-5944	451	7	on	on	ADP
ejpam-5944	451	8	the	the	DET
ejpam-5944	451	9	operational	operational	ADJ
ejpam-5944	451	10	matrices	matrix	NOUN
ejpam-5944	451	11	of	of	ADP
ejpam-5944	451	12	new	new	ADJ
ejpam-5944	451	13	fractional	fractional	PROPN
ejpam-5944	451	14	bernstein	bernstein	PROPN
ejpam-5944	451	15	functions	function	NOUN
ejpam-5944	451	16	.	.	PUNCT
ejpam-5944	452	1	journal	journal	PROPN
ejpam-5944	452	2	of	of	ADP
ejpam-5944	452	3	king	king	PROPN
ejpam-5944	452	4	saud	saud	PROPN
ejpam-5944	452	5	university	university	PROPN
ejpam-5944	452	6	-	-	PUNCT
ejpam-5944	452	7	science	science	NOUN
ejpam-5944	452	8	,	,	PUNCT
ejpam-5944	452	9	29(1):1–18	29(1):1–18	NUM
ejpam-5944	452	10	,	,	PUNCT
ejpam-5944	452	11	2017	2017	NUM
ejpam-5944	452	12	.	.	PUNCT
ejpam-5944	453	1	[	[	X
ejpam-5944	453	2	17	17	NUM
ejpam-5944	453	3	]	]	X
ejpam-5944	453	4	k	k	PROPN
ejpam-5944	453	5	diethelm	diethelm	PROPN
ejpam-5944	453	6	and	and	CCONJ
ejpam-5944	453	7	g	g	PROPN
ejpam-5944	453	8	walz	walz	PROPN
ejpam-5944	453	9	.	.	PUNCT
ejpam-5944	454	1	numerical	numerical	ADJ
ejpam-5944	454	2	solution	solution	NOUN
ejpam-5944	454	3	of	of	ADP
ejpam-5944	454	4	fractional	fractional	ADJ
ejpam-5944	454	5	order	order	NOUN
ejpam-5944	454	6	differential	differential	ADJ
ejpam-5944	454	7	equations	equation	NOUN
ejpam-5944	454	8	by	by	ADP
ejpam-5944	454	9	extrapolation	extrapolation	NOUN
ejpam-5944	454	10	.	.	PUNCT
ejpam-5944	455	1	numerical	numerical	ADJ
ejpam-5944	455	2	algorithms	algorithms	PROPN
ejpam-5944	455	3	,	,	PUNCT
ejpam-5944	455	4	16:231–253	16:231–253	NUM
ejpam-5944	455	5	,	,	PUNCT
ejpam-5944	455	6	1997	1997	NUM
ejpam-5944	455	7	.	.	PUNCT
ejpam-5944	456	1	[	[	X
ejpam-5944	456	2	18	18	NUM
ejpam-5944	456	3	]	]	X
ejpam-5944	456	4	k	k	PROPN
ejpam-5944	456	5	diethelm	diethelm	PROPN
ejpam-5944	456	6	and	and	CCONJ
ejpam-5944	456	7	a	a	DET
ejpam-5944	456	8	d	d	NOUN
ejpam-5944	456	9	freed	freed	NOUN
ejpam-5944	456	10	.	.	PUNCT
ejpam-5944	457	1	on	on	ADP
ejpam-5944	457	2	the	the	DET
ejpam-5944	457	3	solution	solution	NOUN
ejpam-5944	457	4	of	of	ADP
ejpam-5944	457	5	nonlinear	nonlinear	ADJ
ejpam-5944	457	6	fractional	fractional	ADJ
ejpam-5944	457	7	-	-	PUNCT
ejpam-5944	457	8	order	order	NOUN
ejpam-5944	457	9	differential	differential	ADJ
ejpam-5944	457	10	equations	equation	NOUN
ejpam-5944	457	11	used	use	VERB
ejpam-5944	457	12	in	in	ADP
ejpam-5944	457	13	the	the	DET
ejpam-5944	457	14	modeling	modeling	NOUN
ejpam-5944	457	15	of	of	ADP
ejpam-5944	457	16	viscoplasticity	viscoplasticity	NOUN
ejpam-5944	457	17	.	.	PUNCT
ejpam-5944	458	1	in	in	ADP
ejpam-5944	458	2	scientific	scientific	ADJ
ejpam-5944	458	3	computing	computing	NOUN
ejpam-5944	458	4	in	in	ADP
ejpam-5944	458	5	chemical	chemical	PROPN
ejpam-5944	458	6	engineering	engineering	PROPN
ejpam-5944	458	7	ii	ii	PROPN
ejpam-5944	458	8	:	:	PUNCT
ejpam-5944	458	9	computational	computational	ADJ
ejpam-5944	458	10	fluid	fluid	ADJ
ejpam-5944	458	11	dynamics	dynamic	NOUN
ejpam-5944	458	12	,	,	PUNCT
ejpam-5944	458	13	reaction	reaction	NOUN
ejpam-5944	458	14	engineering	engineering	NOUN
ejpam-5944	458	15	,	,	PUNCT
ejpam-5944	458	16	and	and	CCONJ
ejpam-5944	458	17	molecular	molecular	ADJ
ejpam-5944	458	18	properties	property	NOUN
ejpam-5944	458	19	,	,	PUNCT
ejpam-5944	458	20	pages	page	NOUN
ejpam-5944	458	21	217–224	217–224	NUM
ejpam-5944	458	22	.	.	PUNCT
ejpam-5944	459	1	springer	springer	NOUN
ejpam-5944	459	2	,	,	PUNCT
ejpam-5944	459	3	1999	1999	NUM
ejpam-5944	459	4	.	.	PUNCT
ejpam-5944	460	1	[	[	X
ejpam-5944	460	2	19	19	NUM
ejpam-5944	460	3	]	]	X
ejpam-5944	460	4	s	s	X
ejpam-5944	460	5	bhalekar	bhalekar	NOUN
ejpam-5944	460	6	and	and	CCONJ
ejpam-5944	460	7	v	v	ADP
ejpam-5944	460	8	daftardar	daftardar	NOUN
ejpam-5944	460	9	-	-	PUNCT
ejpam-5944	460	10	gejji	gejji	NOUN
ejpam-5944	460	11	.	.	PUNCT
ejpam-5944	461	1	a	a	DET
ejpam-5944	461	2	predictor	predictor	NOUN
ejpam-5944	461	3	-	-	PUNCT
ejpam-5944	461	4	corrector	corrector	NOUN
ejpam-5944	461	5	scheme	scheme	NOUN
ejpam-5944	461	6	for	for	ADP
ejpam-5944	461	7	solving	solve	VERB
ejpam-5944	461	8	nonlinear	nonlinear	ADJ
ejpam-5944	461	9	delay	delay	NOUN
ejpam-5944	461	10	differential	differential	ADJ
ejpam-5944	461	11	equations	equation	NOUN
ejpam-5944	461	12	of	of	ADP
ejpam-5944	461	13	fractional	fractional	ADJ
ejpam-5944	461	14	order	order	NOUN
ejpam-5944	461	15	.	.	PUNCT
ejpam-5944	462	1	j.	j.	PROPN
ejpam-5944	462	2	fract	fract	PROPN
ejpam-5944	462	3	.	.	PUNCT
ejpam-5944	463	1	calc	calc	PROPN
ejpam-5944	463	2	.	.	PUNCT
ejpam-5944	464	1	appl	appl	PROPN
ejpam-5944	464	2	,	,	PUNCT
ejpam-5944	464	3	1(5):1–9	1(5):1–9	NUM
ejpam-5944	464	4	,	,	PUNCT
ejpam-5944	464	5	2011	2011	NUM
ejpam-5944	464	6	.	.	PUNCT
ejpam-5944	465	1	[	[	X
ejpam-5944	465	2	20	20	NUM
ejpam-5944	465	3	]	]	SYM
ejpam-5944	465	4	v	v	ADP
ejpam-5944	465	5	daftardar	daftardar	NOUN
ejpam-5944	465	6	-	-	PUNCT
ejpam-5944	465	7	gejji	gejji	NOUN
ejpam-5944	465	8	,	,	PUNCT
ejpam-5944	465	9	y	y	PROPN
ejpam-5944	465	10	sukale	sukale	NOUN
ejpam-5944	465	11	,	,	PUNCT
ejpam-5944	465	12	and	and	CCONJ
ejpam-5944	465	13	s	s	X
ejpam-5944	465	14	bhalekar	bhalekar	NOUN
ejpam-5944	465	15	.	.	PUNCT
ejpam-5944	466	1	a	a	DET
ejpam-5944	466	2	new	new	ADJ
ejpam-5944	466	3	predictor	predictor	NOUN
ejpam-5944	466	4	–	–	PUNCT
ejpam-5944	466	5	corrector	corrector	NOUN
ejpam-5944	466	6	method	method	NOUN
ejpam-5944	466	7	for	for	ADP
ejpam-5944	466	8	fractional	fractional	ADJ
ejpam-5944	466	9	differential	differential	ADJ
ejpam-5944	466	10	equations	equation	NOUN
ejpam-5944	466	11	.	.	PUNCT
ejpam-5944	467	1	applied	apply	VERB
ejpam-5944	467	2	mathematics	mathematic	NOUN
ejpam-5944	467	3	and	and	CCONJ
ejpam-5944	467	4	computation	computation	NOUN
ejpam-5944	467	5	,	,	PUNCT
ejpam-5944	467	6	244:158–182	244:158–182	NUM
ejpam-5944	467	7	,	,	PUNCT
ejpam-5944	467	8	2014	2014	NUM
ejpam-5944	467	9	.	.	PUNCT
ejpam-5944	468	1	[	[	X
ejpam-5944	468	2	21	21	NUM
ejpam-5944	468	3	]	]	X
ejpam-5944	468	4	r	r	NOUN
ejpam-5944	468	5	garrappa	garrappa	NOUN
ejpam-5944	468	6	.	.	PUNCT
ejpam-5944	469	1	on	on	ADP
ejpam-5944	469	2	linear	linear	ADJ
ejpam-5944	469	3	stability	stability	NOUN
ejpam-5944	469	4	of	of	ADP
ejpam-5944	469	5	predictor	predictor	NOUN
ejpam-5944	469	6	–	–	PUNCT
ejpam-5944	469	7	corrector	corrector	NOUN
ejpam-5944	469	8	algorithms	algorithm	NOUN
ejpam-5944	469	9	for	for	ADP
ejpam-5944	469	10	fractional	fractional	ADJ
ejpam-5944	469	11	differential	differential	ADJ
ejpam-5944	469	12	equations	equation	NOUN
ejpam-5944	469	13	.	.	PUNCT
ejpam-5944	470	1	international	international	ADJ
ejpam-5944	470	2	journal	journal	PROPN
ejpam-5944	470	3	of	of	ADP
ejpam-5944	470	4	computer	computer	NOUN
ejpam-5944	470	5	mathematics	mathematic	NOUN
ejpam-5944	470	6	,	,	PUNCT
ejpam-5944	470	7	87(10):2281–2290	87(10):2281–2290	NUM
ejpam-5944	470	8	,	,	PUNCT
ejpam-5944	470	9	2010	2010	NUM
ejpam-5944	470	10	.	.	PUNCT
ejpam-5944	471	1	[	[	X
ejpam-5944	471	2	22	22	NUM
ejpam-5944	471	3	]	]	X
ejpam-5944	471	4	z	z	NOUN
ejpam-5944	471	5	m	m	VERB
ejpam-5944	471	6	odibat	odibat	NOUN
ejpam-5944	471	7	and	and	CCONJ
ejpam-5944	471	8	s	s	NOUN
ejpam-5944	471	9	momani	momani	NOUN
ejpam-5944	471	10	.	.	PUNCT
ejpam-5944	472	1	an	an	DET
ejpam-5944	472	2	algorithm	algorithm	NOUN
ejpam-5944	472	3	for	for	ADP
ejpam-5944	472	4	the	the	DET
ejpam-5944	472	5	numerical	numerical	ADJ
ejpam-5944	472	6	solution	solution	NOUN
ejpam-5944	472	7	of	of	ADP
ejpam-5944	472	8	differential	differential	ADJ
ejpam-5944	472	9	equations	equation	NOUN
ejpam-5944	472	10	of	of	ADP
ejpam-5944	472	11	fractional	fractional	ADJ
ejpam-5944	472	12	order	order	NOUN
ejpam-5944	472	13	.	.	PUNCT
ejpam-5944	473	1	journal	journal	NOUN
ejpam-5944	473	2	of	of	ADP
ejpam-5944	473	3	applied	apply	VERB
ejpam-5944	473	4	mathematics	mathematics	PROPN
ejpam-5944	473	5	&	&	CCONJ
ejpam-5944	473	6	informatics	informatics	PROPN
ejpam-5944	473	7	,	,	PUNCT
ejpam-5944	473	8	26(1	26(1	NUM
ejpam-5944	473	9	2):15–27	2):15–27	NUM
ejpam-5944	473	10	,	,	PUNCT
ejpam-5944	473	11	2008	2008	NUM
ejpam-5944	473	12	.	.	PUNCT
ejpam-5944	474	1	[	[	X
ejpam-5944	474	2	23	23	NUM
ejpam-5944	474	3	]	]	X
ejpam-5944	474	4	p	p	NOUN
ejpam-5944	474	5	rahimkhani	rahimkhani	NOUN
ejpam-5944	474	6	,	,	PUNCT
ejpam-5944	474	7	y	y	PROPN
ejpam-5944	474	8	ordokhani	ordokhani	NOUN
ejpam-5944	474	9	,	,	PUNCT
ejpam-5944	474	10	and	and	CCONJ
ejpam-5944	474	11	e	e	NOUN
ejpam-5944	474	12	babolian	babolian	NOUN
ejpam-5944	474	13	.	.	PUNCT
ejpam-5944	475	1	numerical	numerical	ADJ
ejpam-5944	475	2	solution	solution	NOUN
ejpam-5944	475	3	of	of	ADP
ejpam-5944	475	4	fractional	fractional	ADJ
ejpam-5944	475	5	pantograph	pantograph	NOUN
ejpam-5944	475	6	differential	differential	NOUN
ejpam-5944	475	7	equations	equation	NOUN
ejpam-5944	475	8	by	by	ADP
ejpam-5944	475	9	using	use	VERB
ejpam-5944	475	10	generalized	generalized	ADJ
ejpam-5944	475	11	fractional	fractional	ADJ
ejpam-5944	475	12	-	-	PUNCT
ejpam-5944	475	13	order	order	NOUN
ejpam-5944	475	14	bernoulli	bernoulli	NOUN
ejpam-5944	475	15	wavelet	wavelet	PROPN
ejpam-5944	475	16	.	.	PUNCT
ejpam-5944	476	1	journal	journal	PROPN
ejpam-5944	476	2	of	of	ADP
ejpam-5944	476	3	computational	computational	ADJ
ejpam-5944	476	4	and	and	CCONJ
ejpam-5944	476	5	applied	applied	ADJ
ejpam-5944	476	6	mathematics	mathematic	NOUN
ejpam-5944	476	7	,	,	PUNCT
ejpam-5944	476	8	309:493–510	309:493–510	NUM
ejpam-5944	476	9	,	,	PUNCT
ejpam-5944	476	10	2017	2017	NUM
ejpam-5944	476	11	.	.	PUNCT
ejpam-5944	477	1	[	[	X
ejpam-5944	477	2	24	24	NUM
ejpam-5944	477	3	]	]	X
ejpam-5944	477	4	z	z	PROPN
ejpam-5944	477	5	zhang	zhang	PROPN
ejpam-5944	477	6	,	,	PUNCT
ejpam-5944	477	7	a	a	DET
ejpam-5944	477	8	zeb	zeb	NOUN
ejpam-5944	477	9	,	,	PUNCT
ejpam-5944	477	10	o	o	PROPN
ejpam-5944	477	11	z	z	PROPN
ejpam-5944	477	12	egbelowo	egbelowo	PROPN
ejpam-5944	477	13	,	,	PUNCT
ejpam-5944	477	14	and	and	CCONJ
ejpam-5944	477	15	v	v	NOUN
ejpam-5944	477	16	s	s	X
ejpam-5944	477	17	erturk	erturk	NOUN
ejpam-5944	477	18	.	.	PUNCT
ejpam-5944	478	1	dynamics	dynamic	NOUN
ejpam-5944	478	2	of	of	ADP
ejpam-5944	478	3	a	a	DET
ejpam-5944	478	4	fractional	fractional	ADJ
ejpam-5944	478	5	order	order	NOUN
ejpam-5944	478	6	kamran	kamran	PROPN
ejpam-5944	478	7	et	et	PROPN
ejpam-5944	478	8	al	al	PROPN
ejpam-5944	478	9	.	.	PUNCT
ejpam-5944	478	10	/	/	SYM
ejpam-5944	478	11	eur	eur	PROPN
ejpam-5944	478	12	.	.	PUNCT
ejpam-5944	479	1	j.	j.	PROPN
ejpam-5944	479	2	pure	pure	PROPN
ejpam-5944	479	3	appl	appl	PROPN
ejpam-5944	479	4	.	.	PROPN
ejpam-5944	479	5	math	math	PROPN
ejpam-5944	479	6	,	,	PUNCT
ejpam-5944	479	7	18	18	NUM
ejpam-5944	479	8	(	(	PUNCT
ejpam-5944	479	9	2	2	NUM
ejpam-5944	479	10	)	)	PUNCT
ejpam-5944	479	11	(	(	PUNCT
ejpam-5944	479	12	2025	2025	NUM
ejpam-5944	479	13	)	)	PUNCT
ejpam-5944	479	14	,	,	PUNCT
ejpam-5944	479	15	5944	5944	NUM
ejpam-5944	479	16	31	31	NUM
ejpam-5944	479	17	of	of	ADP
ejpam-5944	479	18	32	32	NUM
ejpam-5944	479	19	mathematical	mathematical	ADJ
ejpam-5944	479	20	model	model	NOUN
ejpam-5944	479	21	for	for	ADP
ejpam-5944	479	22	covid-19	covid-19	PROPN
ejpam-5944	479	23	epidemic	epidemic	NOUN
ejpam-5944	479	24	.	.	PUNCT
ejpam-5944	480	1	advances	advance	NOUN
ejpam-5944	480	2	in	in	ADP
ejpam-5944	480	3	difference	difference	NOUN
ejpam-5944	480	4	equations	equation	NOUN
ejpam-5944	480	5	,	,	PUNCT
ejpam-5944	480	6	2020:1	2020:1	NUM
ejpam-5944	480	7	–	–	PUNCT
ejpam-5944	480	8	16	16	NUM
ejpam-5944	480	9	,	,	PUNCT
ejpam-5944	480	10	2020	2020	NUM
ejpam-5944	480	11	.	.	PUNCT
ejpam-5944	481	1	[	[	X
ejpam-5944	481	2	25	25	NUM
ejpam-5944	481	3	]	]	X
ejpam-5944	481	4	m	m	PROPN
ejpam-5944	481	5	s	s	NOUN
ejpam-5944	481	6	arshad	arshad	ADJ
ejpam-5944	481	7	,	,	PUNCT
ejpam-5944	481	8	d	d	PROPN
ejpam-5944	481	9	baleanu	baleanu	NOUN
ejpam-5944	481	10	,	,	PUNCT
ejpam-5944	481	11	m	m	PROPN
ejpam-5944	481	12	b	b	NOUN
ejpam-5944	481	13	riaz	riaz	PROPN
ejpam-5944	481	14	,	,	PUNCT
ejpam-5944	481	15	and	and	CCONJ
ejpam-5944	481	16	m	m	PROPN
ejpam-5944	481	17	abbas	abbas	NOUN
ejpam-5944	481	18	.	.	PUNCT
ejpam-5944	482	1	a	a	DET
ejpam-5944	482	2	novel	novel	ADJ
ejpam-5944	482	3	2	2	NUM
ejpam-5944	482	4	-	-	PUNCT
ejpam-5944	482	5	stage	stage	NOUN
ejpam-5944	482	6	fractional	fractional	ADJ
ejpam-5944	482	7	runge	runge	NOUN
ejpam-5944	482	8	–	–	PUNCT
ejpam-5944	482	9	kutta	kutta	NOUN
ejpam-5944	482	10	method	method	NOUN
ejpam-5944	482	11	for	for	ADP
ejpam-5944	482	12	a	a	DET
ejpam-5944	482	13	time	time	NOUN
ejpam-5944	482	14	-	-	PUNCT
ejpam-5944	482	15	fractional	fractional	ADJ
ejpam-5944	482	16	logistic	logistic	ADJ
ejpam-5944	482	17	growth	growth	NOUN
ejpam-5944	482	18	model	model	NOUN
ejpam-5944	482	19	.	.	PUNCT
ejpam-5944	483	1	discrete	discrete	ADJ
ejpam-5944	483	2	dynamics	dynamic	NOUN
ejpam-5944	483	3	in	in	ADP
ejpam-5944	483	4	nature	nature	NOUN
ejpam-5944	483	5	and	and	CCONJ
ejpam-5944	483	6	society	society	NOUN
ejpam-5944	483	7	,	,	PUNCT
ejpam-5944	483	8	2020(1):1020472	2020(1):1020472	NOUN
ejpam-5944	483	9	,	,	PUNCT
ejpam-5944	483	10	2020	2020	NUM
ejpam-5944	483	11	.	.	PUNCT
ejpam-5944	484	1	[	[	X
ejpam-5944	484	2	26	26	NUM
ejpam-5944	484	3	]	]	X
ejpam-5944	484	4	ss	ss	PROPN
ejpam-5944	484	5	ezz	ezz	PROPN
ejpam-5944	484	6	-	-	PUNCT
ejpam-5944	484	7	eldien	eldien	NOUN
ejpam-5944	484	8	.	.	PUNCT
ejpam-5944	485	1	on	on	ADP
ejpam-5944	485	2	solving	solve	VERB
ejpam-5944	485	3	fractional	fractional	ADJ
ejpam-5944	485	4	logistic	logistic	ADJ
ejpam-5944	485	5	population	population	NOUN
ejpam-5944	485	6	models	model	NOUN
ejpam-5944	485	7	with	with	ADP
ejpam-5944	485	8	applications	application	NOUN
ejpam-5944	485	9	.	.	PUNCT
ejpam-5944	486	1	computational	computational	ADJ
ejpam-5944	486	2	and	and	CCONJ
ejpam-5944	486	3	applied	applied	ADJ
ejpam-5944	486	4	mathematics	mathematic	NOUN
ejpam-5944	486	5	,	,	PUNCT
ejpam-5944	486	6	37:6392–6409	37:6392–6409	NUM
ejpam-5944	486	7	,	,	PUNCT
ejpam-5944	486	8	2018	2018	NUM
ejpam-5944	486	9	.	.	PUNCT
ejpam-5944	487	1	[	[	X
ejpam-5944	487	2	27	27	NUM
ejpam-5944	487	3	]	]	X
ejpam-5944	487	4	s	s	PART
ejpam-5944	487	5	das	das	PROPN
ejpam-5944	487	6	,	,	PUNCT
ejpam-5944	487	7	pk	pk	NOUN
ejpam-5944	487	8	gupta	gupta	PROPN
ejpam-5944	487	9	,	,	PUNCT
ejpam-5944	487	10	and	and	CCONJ
ejpam-5944	487	11	k	k	PROPN
ejpam-5944	487	12	vishal	vishal	PROPN
ejpam-5944	487	13	.	.	PUNCT
ejpam-5944	487	14	approximate	approximate	ADJ
ejpam-5944	487	15	approach	approach	NOUN
ejpam-5944	487	16	to	to	ADP
ejpam-5944	487	17	the	the	DET
ejpam-5944	487	18	das	das	PROPN
ejpam-5944	487	19	model	model	NOUN
ejpam-5944	487	20	of	of	ADP
ejpam-5944	487	21	fractional	fractional	ADJ
ejpam-5944	487	22	logistic	logistic	ADJ
ejpam-5944	487	23	population	population	NOUN
ejpam-5944	487	24	growth	growth	NOUN
ejpam-5944	487	25	.	.	PUNCT
ejpam-5944	488	1	applications	application	NOUN
ejpam-5944	488	2	and	and	CCONJ
ejpam-5944	488	3	applied	apply	VERB
ejpam-5944	488	4	mathematics	mathematic	NOUN
ejpam-5944	488	5	:	:	PUNCT
ejpam-5944	488	6	an	an	DET
ejpam-5944	488	7	international	international	ADJ
ejpam-5944	488	8	journal	journal	NOUN
ejpam-5944	488	9	(	(	PUNCT
ejpam-5944	488	10	aam	aam	PROPN
ejpam-5944	488	11	)	)	PUNCT
ejpam-5944	488	12	,	,	PUNCT
ejpam-5944	488	13	5(2):26	5(2):26	NUM
ejpam-5944	488	14	,	,	PUNCT
ejpam-5944	488	15	2010	2010	NUM
ejpam-5944	488	16	.	.	PUNCT
ejpam-5944	489	1	[	[	X
ejpam-5944	489	2	28	28	NUM
ejpam-5944	489	3	]	]	X
ejpam-5944	489	4	s	s	PROPN
ejpam-5944	489	5	z	z	PROPN
ejpam-5944	489	6	rida	rida	PROPN
ejpam-5944	489	7	,	,	PUNCT
ejpam-5944	489	8	a	a	DET
ejpam-5944	489	9	a	a	DET
ejpam-5944	489	10	farghaly	farghaly	NOUN
ejpam-5944	489	11	,	,	PUNCT
ejpam-5944	489	12	s	s	VERB
ejpam-5944	489	13	a	a	DET
ejpam-5944	489	14	azoz	azoz	NOUN
ejpam-5944	489	15	,	,	PUNCT
ejpam-5944	489	16	and	and	CCONJ
ejpam-5944	489	17	f	f	PROPN
ejpam-5944	489	18	hussien	hussien	PROPN
ejpam-5944	489	19	.	.	PUNCT
ejpam-5944	490	1	global	global	ADJ
ejpam-5944	490	2	stability	stability	NOUN
ejpam-5944	490	3	of	of	ADP
ejpam-5944	490	4	a	a	DET
ejpam-5944	490	5	delayed	delay	VERB
ejpam-5944	490	6	fractional	fractional	ADJ
ejpam-5944	490	7	-	-	PUNCT
ejpam-5944	490	8	order	order	NOUN
ejpam-5944	490	9	sei	sei	ADJ
ejpam-5944	490	10	epidemic	epidemic	NOUN
ejpam-5944	490	11	model	model	NOUN
ejpam-5944	490	12	with	with	ADP
ejpam-5944	490	13	logistic	logistic	ADJ
ejpam-5944	490	14	growth	growth	NOUN
ejpam-5944	490	15	.	.	PUNCT
ejpam-5944	491	1	appl	appl	PROPN
ejpam-5944	491	2	.	.	PROPN
ejpam-5944	491	3	math	math	PROPN
ejpam-5944	491	4	,	,	PUNCT
ejpam-5944	491	5	15(1):1–12	15(1):1–12	NUM
ejpam-5944	491	6	,	,	PUNCT
ejpam-5944	491	7	2021	2021	NUM
ejpam-5944	491	8	.	.	PUNCT
ejpam-5944	492	1	[	[	X
ejpam-5944	492	2	29	29	NUM
ejpam-5944	492	3	]	]	X
ejpam-5944	492	4	r	r	NOUN
ejpam-5944	492	5	abreu	abreu	NOUN
ejpam-5944	492	6	-	-	PUNCT
ejpam-5944	492	7	blaya	blaya	PROPN
ejpam-5944	492	8	,	,	PUNCT
ejpam-5944	492	9	a	a	DET
ejpam-5944	492	10	fleitas	fleita	NOUN
ejpam-5944	492	11	,	,	PUNCT
ejpam-5944	492	12	j	j	PROPN
ejpam-5944	492	13	e	e	PROPN
ejpam-5944	492	14	napoles	napole	NOUN
ejpam-5944	492	15	valdes	valde	NOUN
ejpam-5944	492	16	,	,	PUNCT
ejpam-5944	492	17	r	r	NOUN
ejpam-5944	492	18	reyes	reyes	PROPN
ejpam-5944	492	19	,	,	PUNCT
ejpam-5944	492	20	j	j	PROPN
ejpam-5944	492	21	m	m	PROPN
ejpam-5944	492	22	rodriguez	rodriguez	PROPN
ejpam-5944	492	23	,	,	PUNCT
ejpam-5944	492	24	and	and	CCONJ
ejpam-5944	492	25	j	j	PROPN
ejpam-5944	492	26	m	m	PROPN
ejpam-5944	492	27	sigarreta	sigarreta	PROPN
ejpam-5944	492	28	.	.	PUNCT
ejpam-5944	493	1	on	on	ADP
ejpam-5944	493	2	the	the	DET
ejpam-5944	493	3	conformable	conformable	ADJ
ejpam-5944	493	4	fractional	fractional	ADJ
ejpam-5944	493	5	logistic	logistic	ADJ
ejpam-5944	493	6	models	model	NOUN
ejpam-5944	493	7	.	.	PUNCT
ejpam-5944	494	1	mathematical	mathematical	ADJ
ejpam-5944	494	2	methods	method	NOUN
ejpam-5944	494	3	in	in	ADP
ejpam-5944	494	4	the	the	DET
ejpam-5944	494	5	applied	apply	VERB
ejpam-5944	494	6	sciences	science	NOUN
ejpam-5944	494	7	,	,	PUNCT
ejpam-5944	494	8	43(7):4156–4167	43(7):4156–4167	NUM
ejpam-5944	494	9	,	,	PUNCT
ejpam-5944	494	10	2020	2020	NUM
ejpam-5944	494	11	.	.	PUNCT
ejpam-5944	495	1	[	[	X
ejpam-5944	495	2	30	30	NUM
ejpam-5944	495	3	]	]	SYM
ejpam-5944	495	4	s	s	NOUN
ejpam-5944	495	5	m	m	NOUN
ejpam-5944	495	6	ismail	ismail	NOUN
ejpam-5944	495	7	,	,	PUNCT
ejpam-5944	495	8	l	l	PROPN
ejpam-5944	495	9	a	a	DET
ejpam-5944	495	10	said	say	VERB
ejpam-5944	495	11	,	,	PUNCT
ejpam-5944	495	12	a	a	DET
ejpam-5944	495	13	a	a	DET
ejpam-5944	495	14	rezk	rezk	NOUN
ejpam-5944	495	15	,	,	PUNCT
ejpam-5944	495	16	a	a	DET
ejpam-5944	495	17	g	g	NOUN
ejpam-5944	495	18	radwan	radwan	NOUN
ejpam-5944	495	19	,	,	PUNCT
ejpam-5944	495	20	a	a	DET
ejpam-5944	495	21	h	h	NOUN
ejpam-5944	495	22	madian	madian	NOUN
ejpam-5944	495	23	,	,	PUNCT
ejpam-5944	495	24	m	m	PROPN
ejpam-5944	495	25	f	f	PROPN
ejpam-5944	495	26	abu	abu	PROPN
ejpam-5944	495	27	-	-	PUNCT
ejpam-5944	495	28	elyazeed	elyazeed	NOUN
ejpam-5944	495	29	,	,	PUNCT
ejpam-5944	495	30	and	and	CCONJ
ejpam-5944	495	31	a	a	DET
ejpam-5944	495	32	m	m	NOUN
ejpam-5944	495	33	soliman	soliman	NOUN
ejpam-5944	495	34	.	.	PUNCT
ejpam-5944	496	1	generalized	generalize	VERB
ejpam-5944	496	2	fractional	fractional	ADJ
ejpam-5944	496	3	logistic	logistic	ADJ
ejpam-5944	496	4	map	map	NOUN
ejpam-5944	496	5	encryption	encryption	NOUN
ejpam-5944	496	6	system	system	NOUN
ejpam-5944	496	7	based	base	VERB
ejpam-5944	496	8	on	on	ADP
ejpam-5944	496	9	fpga	fpga	PROPN
ejpam-5944	496	10	.	.	PUNCT
ejpam-5944	497	1	aeu	aeu	PROPN
ejpam-5944	497	2	-	-	PUNCT
ejpam-5944	497	3	international	international	ADJ
ejpam-5944	497	4	journal	journal	NOUN
ejpam-5944	497	5	of	of	ADP
ejpam-5944	497	6	electronics	electronic	NOUN
ejpam-5944	497	7	and	and	CCONJ
ejpam-5944	497	8	communications	communication	NOUN
ejpam-5944	497	9	,	,	PUNCT
ejpam-5944	497	10	80:114–126	80:114–126	PROPN
ejpam-5944	497	11	,	,	PUNCT
ejpam-5944	497	12	2017	2017	NUM
ejpam-5944	497	13	.	.	PUNCT
ejpam-5944	498	1	[	[	X
ejpam-5944	498	2	31	31	NUM
ejpam-5944	498	3	]	]	SYM
ejpam-5944	498	4	v	v	X
ejpam-5944	498	5	v	v	NOUN
ejpam-5944	498	6	tarasova	tarasova	NOUN
ejpam-5944	498	7	and	and	CCONJ
ejpam-5944	498	8	v	v	NOUN
ejpam-5944	498	9	e	e	NOUN
ejpam-5944	498	10	tarasov	tarasov	NOUN
ejpam-5944	498	11	.	.	PUNCT
ejpam-5944	499	1	logistic	logistic	ADJ
ejpam-5944	499	2	map	map	NOUN
ejpam-5944	499	3	with	with	ADP
ejpam-5944	499	4	memory	memory	NOUN
ejpam-5944	499	5	from	from	ADP
ejpam-5944	499	6	economic	economic	ADJ
ejpam-5944	499	7	model	model	NOUN
ejpam-5944	499	8	.	.	PUNCT
ejpam-5944	500	1	chaos	chaos	NOUN
ejpam-5944	500	2	,	,	PUNCT
ejpam-5944	500	3	solitons	soliton	NOUN
ejpam-5944	500	4	&	&	CCONJ
ejpam-5944	500	5	fractals	fractal	NOUN
ejpam-5944	500	6	,	,	PUNCT
ejpam-5944	500	7	95:84–91	95:84–91	NUM
ejpam-5944	500	8	,	,	PUNCT
ejpam-5944	500	9	2017	2017	NUM
ejpam-5944	500	10	.	.	PUNCT
ejpam-5944	501	1	[	[	X
ejpam-5944	501	2	32	32	NUM
ejpam-5944	501	3	]	]	SYM
ejpam-5944	501	4	v	v	X
ejpam-5944	501	5	lakshmikantham	lakshmikantham	NOUN
ejpam-5944	501	6	and	and	CCONJ
ejpam-5944	501	7	a	a	DET
ejpam-5944	501	8	s	s	NOUN
ejpam-5944	501	9	vatsala	vatsala	NOUN
ejpam-5944	501	10	.	.	PUNCT
ejpam-5944	502	1	theory	theory	NOUN
ejpam-5944	502	2	of	of	ADP
ejpam-5944	502	3	fractional	fractional	ADJ
ejpam-5944	502	4	differential	differential	ADJ
ejpam-5944	502	5	inequalities	inequality	NOUN
ejpam-5944	502	6	and	and	CCONJ
ejpam-5944	502	7	applications	application	NOUN
ejpam-5944	502	8	.	.	PUNCT
ejpam-5944	503	1	communications	communication	NOUN
ejpam-5944	503	2	in	in	ADP
ejpam-5944	503	3	applied	apply	VERB
ejpam-5944	503	4	analysis	analysis	NOUN
ejpam-5944	503	5	,	,	PUNCT
ejpam-5944	503	6	11(3	11(3	NUM
ejpam-5944	503	7	-	-	SYM
ejpam-5944	503	8	4):395–402	4):395–402	NUM
ejpam-5944	503	9	,	,	PUNCT
ejpam-5944	503	10	2007	2007	NUM
ejpam-5944	503	11	.	.	PUNCT
ejpam-5944	504	1	[	[	X
ejpam-5944	504	2	33	33	NUM
ejpam-5944	504	3	]	]	PUNCT
ejpam-5944	504	4	e	e	NOUN
ejpam-5944	504	5	demirci	demirci	VERB
ejpam-5944	504	6	and	and	CCONJ
ejpam-5944	504	7	n	n	DET
ejpam-5944	504	8	ozalp	ozalp	NOUN
ejpam-5944	504	9	.	.	PUNCT
ejpam-5944	505	1	a	a	DET
ejpam-5944	505	2	method	method	NOUN
ejpam-5944	505	3	for	for	ADP
ejpam-5944	505	4	solving	solve	VERB
ejpam-5944	505	5	differential	differential	ADJ
ejpam-5944	505	6	equations	equation	NOUN
ejpam-5944	505	7	of	of	ADP
ejpam-5944	505	8	fractional	fractional	ADJ
ejpam-5944	505	9	order	order	NOUN
ejpam-5944	505	10	.	.	PUNCT
ejpam-5944	506	1	journal	journal	NOUN
ejpam-5944	506	2	of	of	ADP
ejpam-5944	506	3	computational	computational	ADJ
ejpam-5944	506	4	and	and	CCONJ
ejpam-5944	506	5	applied	applied	ADJ
ejpam-5944	506	6	mathematics	mathematic	NOUN
ejpam-5944	506	7	,	,	PUNCT
ejpam-5944	506	8	236(11):2754–2762	236(11):2754–2762	NUM
ejpam-5944	506	9	,	,	PUNCT
ejpam-5944	506	10	2012	2012	NUM
ejpam-5944	506	11	.	.	PUNCT
ejpam-5944	507	1	[	[	X
ejpam-5944	507	2	34	34	NUM
ejpam-5944	507	3	]	]	X
ejpam-5944	507	4	c	c	NOUN
ejpam-5944	507	5	milici	milici	PROPN
ejpam-5944	507	6	,	,	PUNCT
ejpam-5944	507	7	j	j	PROPN
ejpam-5944	507	8	tenreiro	tenreiro	PROPN
ejpam-5944	507	9	machado	machado	PROPN
ejpam-5944	507	10	,	,	PUNCT
ejpam-5944	507	11	and	and	CCONJ
ejpam-5944	507	12	g	g	PROPN
ejpam-5944	507	13	drăgănescu	drăgănescu	NOUN
ejpam-5944	507	14	.	.	PUNCT
ejpam-5944	508	1	application	application	NOUN
ejpam-5944	508	2	of	of	ADP
ejpam-5944	508	3	the	the	DET
ejpam-5944	508	4	euler	euler	NOUN
ejpam-5944	508	5	and	and	CCONJ
ejpam-5944	508	6	runge	runge	NOUN
ejpam-5944	508	7	–	–	PUNCT
ejpam-5944	508	8	kutta	kutta	NOUN
ejpam-5944	508	9	generalized	generalize	VERB
ejpam-5944	508	10	methods	method	NOUN
ejpam-5944	508	11	for	for	ADP
ejpam-5944	508	12	fde	fde	PROPN
ejpam-5944	508	13	and	and	CCONJ
ejpam-5944	508	14	symbolic	symbolic	ADJ
ejpam-5944	508	15	packages	package	NOUN
ejpam-5944	508	16	in	in	ADP
ejpam-5944	508	17	the	the	DET
ejpam-5944	508	18	analysis	analysis	NOUN
ejpam-5944	508	19	of	of	ADP
ejpam-5944	508	20	some	some	DET
ejpam-5944	508	21	fractional	fractional	ADJ
ejpam-5944	508	22	attractors	attractor	NOUN
ejpam-5944	508	23	.	.	PUNCT
ejpam-5944	509	1	international	international	ADJ
ejpam-5944	509	2	journal	journal	PROPN
ejpam-5944	509	3	of	of	ADP
ejpam-5944	509	4	nonlinear	nonlinear	PROPN
ejpam-5944	509	5	sciences	sciences	PROPN
ejpam-5944	509	6	and	and	CCONJ
ejpam-5944	509	7	numerical	numerical	PROPN
ejpam-5944	509	8	simulation	simulation	PROPN
ejpam-5944	509	9	,	,	PUNCT
ejpam-5944	509	10	21(2):159–170	21(2):159–170	PROPN
ejpam-5944	509	11	,	,	PUNCT
ejpam-5944	509	12	2020	2020	NUM
ejpam-5944	509	13	.	.	PUNCT
ejpam-5944	510	1	[	[	X
ejpam-5944	510	2	35	35	NUM
ejpam-5944	510	3	]	]	X
ejpam-5944	510	4	constantin	constantin	NOUN
ejpam-5944	510	5	milici	milici	PROPN
ejpam-5944	510	6	,	,	PUNCT
ejpam-5944	510	7	gheorghe	gheorghe	NOUN
ejpam-5944	510	8	drăgănescu	drăgănescu	NOUN
ejpam-5944	510	9	,	,	PUNCT
ejpam-5944	510	10	and	and	CCONJ
ejpam-5944	510	11	j	j	PROPN
ejpam-5944	510	12	tenreiro	tenreiro	PROPN
ejpam-5944	510	13	machado	machado	PROPN
ejpam-5944	510	14	.	.	PUNCT
ejpam-5944	511	1	introduction	introduction	NOUN
ejpam-5944	511	2	to	to	ADP
ejpam-5944	511	3	fractional	fractional	ADJ
ejpam-5944	511	4	differential	differential	ADJ
ejpam-5944	511	5	equations	equation	NOUN
ejpam-5944	511	6	,	,	PUNCT
ejpam-5944	511	7	volume	volume	NOUN
ejpam-5944	511	8	25	25	NUM
ejpam-5944	511	9	.	.	PUNCT
ejpam-5944	511	10	springer	springer	NOUN
ejpam-5944	511	11	,	,	PUNCT
ejpam-5944	511	12	2018	2018	NUM
ejpam-5944	511	13	.	.	PUNCT
ejpam-5944	512	1	[	[	X
ejpam-5944	512	2	36	36	NUM
ejpam-5944	512	3	]	]	X
ejpam-5944	512	4	z	z	NOUN
ejpam-5944	512	5	a	a	DET
ejpam-5944	512	6	khan	khan	PROPN
ejpam-5944	512	7	,	,	PUNCT
ejpam-5944	512	8	a	a	DET
ejpam-5944	512	9	khan	khan	PROPN
ejpam-5944	512	10	,	,	PUNCT
ejpam-5944	512	11	t	t	PROPN
ejpam-5944	512	12	abdeljawad	abdeljawad	NOUN
ejpam-5944	512	13	,	,	PUNCT
ejpam-5944	512	14	and	and	CCONJ
ejpam-5944	512	15	h	h	PROPN
ejpam-5944	512	16	khan	khan	PROPN
ejpam-5944	512	17	.	.	PUNCT
ejpam-5944	513	1	computational	computational	ADJ
ejpam-5944	513	2	analysis	analysis	NOUN
ejpam-5944	513	3	of	of	ADP
ejpam-5944	513	4	fractional	fractional	ADJ
ejpam-5944	513	5	order	order	NOUN
ejpam-5944	513	6	imperfect	imperfect	ADJ
ejpam-5944	513	7	testing	testing	NOUN
ejpam-5944	513	8	infection	infection	NOUN
ejpam-5944	513	9	disease	disease	NOUN
ejpam-5944	513	10	model	model	NOUN
ejpam-5944	513	11	.	.	PUNCT
ejpam-5944	514	1	fractals	fractal	NOUN
ejpam-5944	514	2	,	,	PUNCT
ejpam-5944	514	3	30(05):2240169	30(05):2240169	NUM
ejpam-5944	514	4	,	,	PUNCT
ejpam-5944	514	5	2022	2022	NUM
ejpam-5944	514	6	.	.	PUNCT
ejpam-5944	515	1	[	[	X
ejpam-5944	515	2	37	37	NUM
ejpam-5944	515	3	]	]	X
ejpam-5944	515	4	k	k	PROPN
ejpam-5944	515	5	ramesh	ramesh	PROPN
ejpam-5944	515	6	,	,	PUNCT
ejpam-5944	515	7	a	a	DET
ejpam-5944	515	8	khan	khan	PROPN
ejpam-5944	515	9	,	,	PUNCT
ejpam-5944	515	10	t	t	PROPN
ejpam-5944	515	11	abdeljawad	abdeljawad	NOUN
ejpam-5944	515	12	,	,	PUNCT
ejpam-5944	515	13	et	et	PROPN
ejpam-5944	515	14	al	al	PROPN
ejpam-5944	515	15	.	.	PUNCT
ejpam-5944	515	16	analysis	analysis	NOUN
ejpam-5944	515	17	of	of	ADP
ejpam-5944	515	18	the	the	DET
ejpam-5944	515	19	stability	stability	NOUN
ejpam-5944	515	20	of	of	ADP
ejpam-5944	515	21	a	a	DET
ejpam-5944	515	22	predator	predator	NOUN
ejpam-5944	515	23	-	-	PUNCT
ejpam-5944	515	24	prey	prey	NOUN
ejpam-5944	515	25	model	model	NOUN
ejpam-5944	515	26	including	include	VERB
ejpam-5944	515	27	the	the	DET
ejpam-5944	515	28	memory	memory	NOUN
ejpam-5944	515	29	effect	effect	NOUN
ejpam-5944	515	30	,	,	PUNCT
ejpam-5944	515	31	double	double	ADJ
ejpam-5944	515	32	allee	allee	NOUN
ejpam-5944	515	33	effect	effect	NOUN
ejpam-5944	515	34	and	and	CCONJ
ejpam-5944	515	35	holling	holle	VERB
ejpam-5944	515	36	type	type	NOUN
ejpam-5944	515	37	-	-	PUNCT
ejpam-5944	515	38	i	i	PRON
ejpam-5944	515	39	functional	functional	ADJ
ejpam-5944	515	40	response	response	NOUN
ejpam-5944	515	41	.	.	PUNCT
ejpam-5944	516	1	plos	plos	PROPN
ejpam-5944	516	2	one	one	NUM
ejpam-5944	516	3	,	,	PUNCT
ejpam-5944	516	4	20(1):e0305179	20(1):e0305179	PRON
ejpam-5944	516	5	,	,	PUNCT
ejpam-5944	516	6	2025	2025	NUM
ejpam-5944	516	7	.	.	PUNCT
ejpam-5944	517	1	[	[	X
ejpam-5944	517	2	38	38	NUM
ejpam-5944	517	3	]	]	X
ejpam-5944	517	4	j	j	PROPN
ejpam-5944	517	5	muhammad	muhammad	PROPN
ejpam-5944	517	6	,	,	PUNCT
ejpam-5944	517	7	u	u	NOUN
ejpam-5944	517	8	younas	youna	NOUN
ejpam-5944	517	9	,	,	PUNCT
ejpam-5944	517	10	dk	dk	PROPN
ejpam-5944	517	11	almutairi	almutairi	NOUN
ejpam-5944	517	12	,	,	PUNCT
ejpam-5944	517	13	a	a	DET
ejpam-5944	517	14	khan	khan	PROPN
ejpam-5944	517	15	,	,	PUNCT
ejpam-5944	517	16	and	and	CCONJ
ejpam-5944	517	17	t	t	PROPN
ejpam-5944	517	18	abdeljawad	abdeljawad	NOUN
ejpam-5944	517	19	.	.	PUNCT
ejpam-5944	518	1	optical	optical	ADJ
ejpam-5944	518	2	wave	wave	NOUN
ejpam-5944	518	3	features	feature	NOUN
ejpam-5944	518	4	and	and	CCONJ
ejpam-5944	518	5	sensitivity	sensitivity	NOUN
ejpam-5944	518	6	analysis	analysis	NOUN
ejpam-5944	518	7	of	of	ADP
ejpam-5944	518	8	a	a	DET
ejpam-5944	518	9	coupled	couple	VERB
ejpam-5944	518	10	fractional	fractional	ADJ
ejpam-5944	518	11	integrable	integrable	ADJ
ejpam-5944	518	12	system	system	NOUN
ejpam-5944	518	13	.	.	PUNCT
ejpam-5944	519	1	results	result	NOUN
ejpam-5944	519	2	in	in	ADP
ejpam-5944	519	3	physics	physics	NOUN
ejpam-5944	519	4	,	,	PUNCT
ejpam-5944	519	5	68:108060	68:108060	NUM
ejpam-5944	519	6	,	,	PUNCT
ejpam-5944	519	7	2025	2025	NUM
ejpam-5944	519	8	.	.	PUNCT
ejpam-5944	520	1	[	[	X
ejpam-5944	520	2	39	39	NUM
ejpam-5944	520	3	]	]	X
ejpam-5944	521	1	r	r	NOUN
ejpam-5944	521	2	m	m	VERB
ejpam-5944	521	3	yaseen	yaseen	NOUN
ejpam-5944	521	4	,	,	PUNCT
ejpam-5944	521	5	n	n	PROPN
ejpam-5944	521	6	f	f	PROPN
ejpam-5944	521	7	ali	ali	PROPN
ejpam-5944	521	8	,	,	PUNCT
ejpam-5944	521	9	ahmed	ahme	VERB
ejpam-5944	521	10	a	a	DET
ejpam-5944	521	11	mohsen	mohsen	PROPN
ejpam-5944	521	12	,	,	PUNCT
ejpam-5944	521	13	a	a	DET
ejpam-5944	521	14	khan	khan	PROPN
ejpam-5944	521	15	,	,	PUNCT
ejpam-5944	521	16	and	and	CCONJ
ejpam-5944	521	17	t	t	PROPN
ejpam-5944	521	18	abdeljawad	abdeljawad	NOUN
ejpam-5944	521	19	.	.	PUNCT
ejpam-5944	522	1	the	the	DET
ejpam-5944	522	2	modeling	modeling	NOUN
ejpam-5944	522	3	and	and	CCONJ
ejpam-5944	522	4	mathematical	mathematical	ADJ
ejpam-5944	522	5	analysis	analysis	NOUN
ejpam-5944	522	6	of	of	ADP
ejpam-5944	522	7	the	the	DET
ejpam-5944	522	8	fractional	fractional	ADJ
ejpam-5944	522	9	-	-	PUNCT
ejpam-5944	522	10	order	order	NOUN
ejpam-5944	522	11	of	of	ADP
ejpam-5944	522	12	cholera	cholera	NOUN
ejpam-5944	522	13	disease	disease	NOUN
ejpam-5944	522	14	:	:	PUNCT
ejpam-5944	522	15	dynamical	dynamical	ADJ
ejpam-5944	522	16	and	and	CCONJ
ejpam-5944	522	17	simulation	simulation	NOUN
ejpam-5944	522	18	.	.	PUNCT
ejpam-5944	523	1	partial	partial	ADJ
ejpam-5944	523	2	differential	differential	ADJ
ejpam-5944	523	3	equations	equation	NOUN
ejpam-5944	523	4	in	in	ADP
ejpam-5944	523	5	applied	applied	ADJ
ejpam-5944	523	6	mathematics	mathematic	NOUN
ejpam-5944	523	7	,	,	PUNCT
ejpam-5944	523	8	12:100978	12:100978	NUM
ejpam-5944	523	9	,	,	PUNCT
ejpam-5944	523	10	2024	2024	NUM
ejpam-5944	523	11	.	.	PUNCT
ejpam-5944	524	1	[	[	X
ejpam-5944	524	2	40	40	NUM
ejpam-5944	524	3	]	]	PUNCT
ejpam-5944	524	4	s	s	X
ejpam-5944	524	5	malik	malik	PROPN
ejpam-5944	524	6	,	,	PUNCT
ejpam-5944	524	7	k	k	PROPN
ejpam-5944	524	8	muhammad	muhammad	PROPN
ejpam-5944	524	9	,	,	PUNCT
ejpam-5944	524	10	o	o	PROPN
ejpam-5944	524	11	ahsan	ahsan	PROPN
ejpam-5944	524	12	,	,	PUNCT
ejpam-5944	524	13	m	m	PROPN
ejpam-5944	524	14	t	t	PROPN
ejpam-5944	524	15	khan	khan	PROPN
ejpam-5944	524	16	,	,	PUNCT
ejpam-5944	524	17	r	r	NOUN
ejpam-5944	524	18	sah	sah	NOUN
ejpam-5944	524	19	,	,	PUNCT
ejpam-5944	524	20	and	and	CCONJ
ejpam-5944	524	21	y	y	PROPN
ejpam-5944	524	22	waheed	waheed	PROPN
ejpam-5944	524	23	.	.	PUNCT
ejpam-5944	525	1	advances	advance	NOUN
ejpam-5944	525	2	in	in	ADP
ejpam-5944	525	3	kamran	kamran	PROPN
ejpam-5944	525	4	et	et	PROPN
ejpam-5944	525	5	al	al	PROPN
ejpam-5944	525	6	.	.	PUNCT
ejpam-5944	525	7	/	/	SYM
ejpam-5944	525	8	eur	eur	PROPN
ejpam-5944	525	9	.	.	PUNCT
ejpam-5944	526	1	j.	j.	PROPN
ejpam-5944	526	2	pure	pure	PROPN
ejpam-5944	526	3	appl	appl	PROPN
ejpam-5944	526	4	.	.	PROPN
ejpam-5944	526	5	math	math	PROPN
ejpam-5944	526	6	,	,	PUNCT
ejpam-5944	526	7	18	18	NUM
ejpam-5944	526	8	(	(	PUNCT
ejpam-5944	526	9	2	2	NUM
ejpam-5944	526	10	)	)	PUNCT
ejpam-5944	526	11	(	(	PUNCT
ejpam-5944	526	12	2025	2025	NUM
ejpam-5944	526	13	)	)	PUNCT
ejpam-5944	526	14	,	,	PUNCT
ejpam-5944	526	15	5944	5944	NUM
ejpam-5944	526	16	32	32	NUM
ejpam-5944	526	17	of	of	ADP
ejpam-5944	526	18	32	32	NUM
ejpam-5944	526	19	zika	zika	NOUN
ejpam-5944	526	20	virus	virus	NOUN
ejpam-5944	526	21	vaccines	vaccine	NOUN
ejpam-5944	526	22	and	and	CCONJ
ejpam-5944	526	23	therapeutics	therapeutic	NOUN
ejpam-5944	526	24	:	:	PUNCT
ejpam-5944	526	25	a	a	DET
ejpam-5944	526	26	systematic	systematic	ADJ
ejpam-5944	526	27	review	review	NOUN
ejpam-5944	526	28	.	.	PUNCT
ejpam-5944	527	1	asian	asian	PROPN
ejpam-5944	527	2	pacific	pacific	PROPN
ejpam-5944	527	3	journal	journal	PROPN
ejpam-5944	527	4	of	of	ADP
ejpam-5944	527	5	tropical	tropical	ADJ
ejpam-5944	527	6	medicine	medicine	NOUN
ejpam-5944	527	7	,	,	PUNCT
ejpam-5944	527	8	17(3):97–109	17(3):97–109	NUM
ejpam-5944	527	9	,	,	PUNCT
ejpam-5944	527	10	2024	2024	NUM
ejpam-5944	527	11	.	.	PUNCT
ejpam-5944	528	1	[	[	X
ejpam-5944	528	2	41	41	NUM
ejpam-5944	528	3	]	]	X
ejpam-5944	528	4	r	r	NOUN
ejpam-5944	528	5	thinakaran	thinakaran	NOUN
ejpam-5944	528	6	,	,	PUNCT
ejpam-5944	528	7	j	j	PROPN
ejpam-5944	528	8	somasekar	somasekar	NOUN
ejpam-5944	528	9	,	,	PUNCT
ejpam-5944	528	10	v	v	NOUN
ejpam-5944	528	11	neerugatti	neerugatti	PROPN
ejpam-5944	528	12	,	,	PUNCT
ejpam-5944	528	13	and	and	CCONJ
ejpam-5944	528	14	k	k	PROPN
ejpam-5944	528	15	ganga	ganga	PROPN
ejpam-5944	528	16	.	.	PUNCT
ejpam-5944	529	1	advancements	advancement	NOUN
ejpam-5944	529	2	in	in	ADP
ejpam-5944	529	3	skin	skin	NOUN
ejpam-5944	529	4	cancer	cancer	NOUN
ejpam-5944	529	5	detection	detection	NOUN
ejpam-5944	529	6	:	:	PUNCT
ejpam-5944	529	7	a	a	DET
ejpam-5944	529	8	comprehensive	comprehensive	ADJ
ejpam-5944	529	9	review	review	NOUN
ejpam-5944	529	10	of	of	ADP
ejpam-5944	529	11	convolutional	convolutional	ADJ
ejpam-5944	529	12	neural	neural	ADJ
ejpam-5944	529	13	network	network	NOUN
ejpam-5944	529	14	approaches	approach	NOUN
ejpam-5944	529	15	.	.	PUNCT
ejpam-5944	530	1	in	in	ADP
ejpam-5944	530	2	2024	2024	NUM
ejpam-5944	530	3	14th	14th	ADJ
ejpam-5944	530	4	international	international	ADJ
ejpam-5944	530	5	conference	conference	NOUN
ejpam-5944	530	6	on	on	ADP
ejpam-5944	530	7	software	software	NOUN
ejpam-5944	530	8	technology	technology	NOUN
ejpam-5944	530	9	and	and	CCONJ
ejpam-5944	530	10	engineering	engineering	NOUN
ejpam-5944	530	11	(	(	PUNCT
ejpam-5944	530	12	icste	icste	PROPN
ejpam-5944	530	13	)	)	PUNCT
ejpam-5944	530	14	,	,	PUNCT
ejpam-5944	530	15	pages	page	NOUN
ejpam-5944	530	16	232–236	232–236	NUM
ejpam-5944	530	17	.	.	PUNCT
ejpam-5944	531	1	ieee	ieee	NOUN
ejpam-5944	531	2	,	,	PUNCT
ejpam-5944	531	3	2024	2024	NUM
ejpam-5944	531	4	.	.	PUNCT
ejpam-5944	532	1	[	[	X
ejpam-5944	532	2	42	42	NUM
ejpam-5944	532	3	]	]	X
ejpam-5944	532	4	elif	elif	PROPN
ejpam-5944	532	5	demirci	demirci	VERB
ejpam-5944	532	6	,	,	PUNCT
ejpam-5944	532	7	arzu	arzu	NOUN
ejpam-5944	532	8	unal	unal	PROPN
ejpam-5944	532	9	,	,	PUNCT
ejpam-5944	532	10	et	et	PROPN
ejpam-5944	532	11	al	al	PROPN
ejpam-5944	532	12	.	.	PUNCT
ejpam-5944	533	1	a	a	DET
ejpam-5944	533	2	fractional	fractional	ADJ
ejpam-5944	533	3	order	order	NOUN
ejpam-5944	533	4	seir	seir	NOUN
ejpam-5944	533	5	model	model	NOUN
ejpam-5944	533	6	with	with	ADP
ejpam-5944	533	7	density	density	NOUN
ejpam-5944	533	8	dependent	dependent	ADJ
ejpam-5944	533	9	death	death	NOUN
ejpam-5944	533	10	rate	rate	NOUN
ejpam-5944	533	11	.	.	PUNCT
ejpam-5944	534	1	hacettepe	hacettepe	PROPN
ejpam-5944	534	2	journal	journal	PROPN
ejpam-5944	534	3	of	of	ADP
ejpam-5944	534	4	mathematics	mathematic	NOUN
ejpam-5944	534	5	and	and	CCONJ
ejpam-5944	534	6	statistics	statistic	NOUN
ejpam-5944	534	7	,	,	PUNCT
ejpam-5944	534	8	40(2):287–295	40(2):287–295	NUM
ejpam-5944	534	9	,	,	PUNCT
ejpam-5944	534	10	2011	2011	NUM
ejpam-5944	534	11	.	.	PUNCT
ejpam-5944	535	1	introduction	introduction	NOUN
ejpam-5944	535	2	preliminaries	preliminary	NOUN
ejpam-5944	535	3	fractional	fractional	ADJ
ejpam-5944	535	4	runge	runge	NOUN
ejpam-5944	535	5	-	-	PUNCT
ejpam-5944	535	6	kutta	kutta	NOUN
ejpam-5944	535	7	method	method	NOUN
ejpam-5944	535	8	of	of	ADP
ejpam-5944	535	9	order	order	NOUN
ejpam-5944	535	10	four	four	NUM
ejpam-5944	535	11	differential	differential	ADJ
ejpam-5944	535	12	equation	equation	NOUN
ejpam-5944	535	13	of	of	ADP
ejpam-5944	535	14	fractional	fractional	ADJ
ejpam-5944	535	15	order	order	NOUN
ejpam-5944	535	16	frk4	frk4	PROPN
ejpam-5944	535	17	numerical	numerical	ADJ
ejpam-5944	535	18	scheme	scheme	NOUN
ejpam-5944	535	19	limitations	limitation	NOUN
ejpam-5944	535	20	and	and	CCONJ
ejpam-5944	535	21	challenges	challenge	VERB
ejpam-5944	535	22	fractional	fractional	ADJ
ejpam-5944	535	23	seir	seir	NOUN
ejpam-5944	535	24	model	model	NOUN
ejpam-5944	535	25	results	result	NOUN
ejpam-5944	535	26	and	and	CCONJ
ejpam-5944	535	27	discussion	discussion	NOUN
ejpam-5944	535	28	problem	problem	NOUN
ejpam-5944	535	29	1	1	NUM
ejpam-5944	535	30	problem	problem	NOUN
ejpam-5944	535	31	2	2	NUM
ejpam-5944	535	32	problem	problem	NOUN
ejpam-5944	535	33	3	3	NUM
ejpam-5944	535	34	problem	problem	NOUN
ejpam-5944	535	35	4	4	NUM
ejpam-5944	535	36	problem	problem	NOUN
ejpam-5944	535	37	5	5	NUM
ejpam-5944	535	38	conclusions	conclusion	NOUN