id	sid	tid	token	lemma	pos
ejpam-4547	1	1	european	european	PROPN
ejpam-4547	1	2	journal	journal	PROPN
ejpam-4547	1	3	of	of	ADP
ejpam-4547	1	4	pure	pure	ADJ
ejpam-4547	1	5	and	and	CCONJ
ejpam-4547	1	6	applied	apply	VERB
ejpam-4547	1	7	mathematics	mathematic	NOUN
ejpam-4547	1	8	vol	vol	NOUN
ejpam-4547	1	9	.	.	PROPN
ejpam-4547	2	1	15	15	NUM
ejpam-4547	2	2	,	,	PUNCT
ejpam-4547	2	3	no	no	INTJ
ejpam-4547	2	4	.	.	NOUN
ejpam-4547	2	5	4	4	NUM
ejpam-4547	2	6	,	,	PUNCT
ejpam-4547	2	7	2022	2022	NUM
ejpam-4547	2	8	,	,	PUNCT
ejpam-4547	2	9	1738	1738	NUM
ejpam-4547	2	10	-	-	SYM
ejpam-4547	2	11	1749	1749	NUM
ejpam-4547	2	12	issn	issn	PROPN
ejpam-4547	2	13	1307	1307	NUM
ejpam-4547	2	14	-	-	SYM
ejpam-4547	2	15	5543	5543	NUM
ejpam-4547	2	16	–	–	PUNCT
ejpam-4547	3	1	ejpam.com	ejpam.com	X
ejpam-4547	3	2	published	publish	VERB
ejpam-4547	3	3	by	by	ADP
ejpam-4547	3	4	new	new	PROPN
ejpam-4547	3	5	york	york	PROPN
ejpam-4547	3	6	business	business	PROPN
ejpam-4547	3	7	global	global	ADJ
ejpam-4547	3	8	1	1	NUM
ejpam-4547	3	9	solving	solve	VERB
ejpam-4547	3	10	conformable	conformable	ADJ
ejpam-4547	3	11	fractional	fractional	ADJ
ejpam-4547	3	12	differential	differential	ADJ
ejpam-4547	3	13	equations2	equations2	NOUN
ejpam-4547	3	14	with	with	ADP
ejpam-4547	3	15	“	"	PUNCT
ejpam-4547	3	16	ejs	ejs	PROPN
ejpam-4547	3	17	”	"	PUNCT
ejpam-4547	3	18	software	software	NOUN
ejpam-4547	3	19	and	and	CCONJ
ejpam-4547	3	20	visualization	visualization	NOUN
ejpam-4547	3	21	of	of	ADP
ejpam-4547	3	22	sub	sub	ADJ
ejpam-4547	3	23	-	-	NOUN
ejpam-4547	3	24	diffusion3	diffusion3	NOUN
ejpam-4547	3	25	process4	process4	NOUN
ejpam-4547	3	26	mahlagha	mahlagha	PROPN
ejpam-4547	3	27	noshad1	noshad1	PROPN
ejpam-4547	3	28	,	,	PUNCT
ejpam-4547	3	29	amir	amir	PROPN
ejpam-4547	3	30	pishkoo2,∗	pishkoo2,∗	PROPN
ejpam-4547	3	31	,	,	PUNCT
ejpam-4547	3	32	maslina	maslina	PROPN
ejpam-4547	3	33	darus35	darus35	PROPN
ejpam-4547	3	34	1	1	NUM
ejpam-4547	3	35	department	department	NOUN
ejpam-4547	3	36	of	of	ADP
ejpam-4547	3	37	mathematics	mathematic	NOUN
ejpam-4547	3	38	,	,	PUNCT
ejpam-4547	3	39	payame	payame	NOUN
ejpam-4547	3	40	noor	noor	PROPN
ejpam-4547	3	41	university	university	PROPN
ejpam-4547	3	42	of	of	ADP
ejpam-4547	3	43	shiraz	shiraz	PROPN
ejpam-4547	3	44	,	,	PUNCT
ejpam-4547	3	45	shiraz	shiraz	PROPN
ejpam-4547	3	46	,	,	PUNCT
ejpam-4547	3	47	iran6	iran6	PROPN
ejpam-4547	3	48	2	2	NUM
ejpam-4547	3	49	physics	physics	NOUN
ejpam-4547	3	50	and	and	CCONJ
ejpam-4547	3	51	accelerators	accelerator	NOUN
ejpam-4547	3	52	research	research	NOUN
ejpam-4547	3	53	school	school	NOUN
ejpam-4547	3	54	,	,	PUNCT
ejpam-4547	3	55	nuclear	nuclear	ADJ
ejpam-4547	3	56	science	science	NOUN
ejpam-4547	3	57	and	and	CCONJ
ejpam-4547	3	58	technology	technology	PROPN
ejpam-4547	3	59	research7	research7	PROPN
ejpam-4547	3	60	institute	institute	PROPN
ejpam-4547	3	61	,	,	PUNCT
ejpam-4547	3	62	tehran	tehran	PROPN
ejpam-4547	3	63	,	,	PUNCT
ejpam-4547	3	64	iran8	iran8	PROPN
ejpam-4547	3	65	3	3	NUM
ejpam-4547	3	66	department	department	NOUN
ejpam-4547	3	67	of	of	ADP
ejpam-4547	3	68	mathematical	mathematical	ADJ
ejpam-4547	3	69	sciences	science	NOUN
ejpam-4547	3	70	,	,	PUNCT
ejpam-4547	3	71	faculty	faculty	NOUN
ejpam-4547	3	72	of	of	ADP
ejpam-4547	3	73	science	science	NOUN
ejpam-4547	3	74	and	and	CCONJ
ejpam-4547	3	75	technology,9	technology,9	NUM
ejpam-4547	3	76	universiti	universiti	PROPN
ejpam-4547	3	77	kebangsaan	kebangsaan	PROPN
ejpam-4547	3	78	malaysia	malaysia	PROPN
ejpam-4547	3	79	,	,	PUNCT
ejpam-4547	3	80	43600	43600	NUM
ejpam-4547	3	81	,	,	PUNCT
ejpam-4547	3	82	bangi	bangi	PROPN
ejpam-4547	3	83	,	,	PUNCT
ejpam-4547	3	84	selangor	selangor	PROPN
ejpam-4547	3	85	,	,	PUNCT
ejpam-4547	3	86	malaysia10	malaysia10	NOUN
ejpam-4547	3	87	11	11	NUM
ejpam-4547	3	88	abstract	abstract	NOUN
ejpam-4547	3	89	.	.	PUNCT
ejpam-4547	4	1	in	in	ADP
ejpam-4547	4	2	this	this	DET
ejpam-4547	4	3	work	work	NOUN
ejpam-4547	4	4	,	,	PUNCT
ejpam-4547	4	5	we	we	PRON
ejpam-4547	4	6	numerically	numerically	ADV
ejpam-4547	4	7	solve	solve	VERB
ejpam-4547	4	8	ordinary	ordinary	ADJ
ejpam-4547	4	9	and	and	CCONJ
ejpam-4547	4	10	conformable	conformable	ADJ
ejpam-4547	4	11	fractional	fractional	ADJ
ejpam-4547	4	12	differential	differential	NOUN
ejpam-4547	4	13	equations	equation	NOUN
ejpam-4547	4	14	using	use	VERB
ejpam-4547	4	15	easy	easy	ADJ
ejpam-4547	4	16	java	java	PROPN
ejpam-4547	4	17	simulations	simulation	NOUN
ejpam-4547	4	18	software	software	NOUN
ejpam-4547	4	19	.	.	PUNCT
ejpam-4547	5	1	their	their	PRON
ejpam-4547	5	2	solutions	solution	NOUN
ejpam-4547	5	3	,	,	PUNCT
ejpam-4547	5	4	including	include	VERB
ejpam-4547	5	5	homogeneous	homogeneous	ADJ
ejpam-4547	5	6	and	and	CCONJ
ejpam-4547	5	7	nonhomogeneous	nonhomogeneous	ADJ
ejpam-4547	5	8	parts	part	NOUN
ejpam-4547	5	9	,	,	PUNCT
ejpam-4547	5	10	are	be	AUX
ejpam-4547	5	11	compared	compare	VERB
ejpam-4547	5	12	in	in	ADP
ejpam-4547	5	13	various	various	ADJ
ejpam-4547	5	14	time	time	NOUN
ejpam-4547	5	15	intervals	interval	NOUN
ejpam-4547	5	16	.	.	PUNCT
ejpam-4547	6	1	using	use	VERB
ejpam-4547	6	2	software	software	NOUN
ejpam-4547	6	3	’s	’s	PART
ejpam-4547	6	4	visualization	visualization	NOUN
ejpam-4547	6	5	and	and	CCONJ
ejpam-4547	6	6	simulation	simulation	NOUN
ejpam-4547	6	7	features	feature	NOUN
ejpam-4547	6	8	,	,	PUNCT
ejpam-4547	6	9	we	we	PRON
ejpam-4547	6	10	may	may	AUX
ejpam-4547	6	11	better	well	ADV
ejpam-4547	6	12	examine	examine	VERB
ejpam-4547	6	13	,	,	PUNCT
ejpam-4547	6	14	compare	compare	ADJ
ejpam-4547	6	15	,	,	PUNCT
ejpam-4547	6	16	and	and	CCONJ
ejpam-4547	6	17	evaluate	evaluate	VERB
ejpam-4547	6	18	solutions	solution	NOUN
ejpam-4547	6	19	of	of	ADP
ejpam-4547	6	20	analytical	analytical	ADJ
ejpam-4547	6	21	and	and	CCONJ
ejpam-4547	6	22	numerical	numerical	ADJ
ejpam-4547	6	23	fractional	fractional	ADJ
ejpam-4547	6	24	differential	differential	ADJ
ejpam-4547	6	25	equations	equation	NOUN
ejpam-4547	6	26	.	.	PUNCT
ejpam-4547	7	1	a	a	DET
ejpam-4547	7	2	kind	kind	NOUN
ejpam-4547	7	3	of	of	ADP
ejpam-4547	7	4	oscillatory	oscillatory	ADJ
ejpam-4547	7	5	behavior	behavior	NOUN
ejpam-4547	7	6	is	be	AUX
ejpam-4547	7	7	seen	see	VERB
ejpam-4547	7	8	in	in	ADP
ejpam-4547	7	9	long	long	ADJ
ejpam-4547	7	10	enough	enough	ADJ
ejpam-4547	7	11	times	time	NOUN
ejpam-4547	7	12	.	.	PUNCT
ejpam-4547	8	1	in	in	ADP
ejpam-4547	8	2	simulation	simulation	NOUN
ejpam-4547	8	3	of	of	ADP
ejpam-4547	8	4	diffusion	diffusion	NOUN
ejpam-4547	8	5	and	and	CCONJ
ejpam-4547	8	6	sub	sub	ADJ
ejpam-4547	8	7	-	-	NOUN
ejpam-4547	8	8	diffusion	diffusion	NOUN
ejpam-4547	8	9	processes	process	NOUN
ejpam-4547	8	10	,	,	PUNCT
ejpam-4547	8	11	two	two	NUM
ejpam-4547	8	12	intriguing	intriguing	ADJ
ejpam-4547	8	13	events	event	NOUN
ejpam-4547	8	14	have	have	AUX
ejpam-4547	8	15	been	be	AUX
ejpam-4547	8	16	observed	observe	VERB
ejpam-4547	8	17	.	.	PUNCT
ejpam-4547	9	1	2020	2020	NUM
ejpam-4547	9	2	mathematics	mathematic	NOUN
ejpam-4547	9	3	subject	subject	NOUN
ejpam-4547	9	4	classifications	classification	NOUN
ejpam-4547	9	5	:	:	PUNCT
ejpam-4547	9	6	26a33	26a33	NUM
ejpam-4547	9	7	,	,	PUNCT
ejpam-4547	9	8	34a0812	34a0812	PROPN
ejpam-4547	9	9	key	key	ADJ
ejpam-4547	9	10	words	word	NOUN
ejpam-4547	9	11	and	and	CCONJ
ejpam-4547	9	12	phrases	phrase	NOUN
ejpam-4547	9	13	:	:	PUNCT
ejpam-4547	9	14	conformable	conformable	ADJ
ejpam-4547	9	15	fractional	fractional	ADJ
ejpam-4547	9	16	derivative	derivative	ADJ
ejpam-4547	9	17	,	,	PUNCT
ejpam-4547	9	18	easy	easy	ADJ
ejpam-4547	9	19	java	java	NOUN
ejpam-4547	9	20	simulations	simulation	NOUN
ejpam-4547	9	21	(	(	PUNCT
ejpam-4547	9	22	ejs	ejs	PROPN
ejpam-4547	9	23	)	)	PUNCT
ejpam-4547	9	24	,	,	PUNCT
ejpam-4547	9	25	frac-13	frac-13	PROPN
ejpam-4547	9	26	tional	tional	ADJ
ejpam-4547	9	27	differential	differential	NOUN
ejpam-4547	9	28	equation	equation	NOUN
ejpam-4547	9	29	,	,	PUNCT
ejpam-4547	9	30	sub	sub	NOUN
ejpam-4547	9	31	-	-	ADJ
ejpam-4547	9	32	diffusion.14	diffusion.14	ADJ
ejpam-4547	9	33	15	15	NUM
ejpam-4547	9	34	1	1	NUM
ejpam-4547	9	35	.	.	PUNCT
ejpam-4547	9	36	introduction16	introduction16	NOUN
ejpam-4547	9	37	computer	computer	NOUN
ejpam-4547	9	38	modeling	modeling	NOUN
ejpam-4547	9	39	and	and	CCONJ
ejpam-4547	9	40	simulation	simulation	NOUN
ejpam-4547	9	41	are	be	AUX
ejpam-4547	9	42	tightly	tightly	ADV
ejpam-4547	9	43	intertwined	intertwine	VERB
ejpam-4547	9	44	.	.	PUNCT
ejpam-4547	10	1	modeling	modeling	NOUN
ejpam-4547	10	2	is	be	AUX
ejpam-4547	10	3	the	the	DET
ejpam-4547	10	4	technique17	technique17	NOUN
ejpam-4547	10	5	through	through	ADP
ejpam-4547	10	6	which	which	PRON
ejpam-4547	10	7	we	we	PRON
ejpam-4547	10	8	build	build	VERB
ejpam-4547	10	9	them	they	PRON
ejpam-4547	10	10	.	.	PUNCT
ejpam-4547	11	1	a	a	DET
ejpam-4547	11	2	model	model	NOUN
ejpam-4547	11	3	is	be	AUX
ejpam-4547	11	4	a	a	DET
ejpam-4547	11	5	conceptual	conceptual	ADJ
ejpam-4547	11	6	representation	representation	NOUN
ejpam-4547	11	7	of	of	ADP
ejpam-4547	11	8	a	a	DET
ejpam-4547	11	9	physical	physical	ADJ
ejpam-4547	11	10	system18	system18	NOUN
ejpam-4547	11	11	and	and	CCONJ
ejpam-4547	11	12	its	its	PRON
ejpam-4547	11	13	features	feature	NOUN
ejpam-4547	11	14	.	.	PUNCT
ejpam-4547	12	1	a	a	DET
ejpam-4547	12	2	computer	computer	NOUN
ejpam-4547	12	3	simulation	simulation	NOUN
ejpam-4547	12	4	is	be	AUX
ejpam-4547	12	5	a	a	DET
ejpam-4547	12	6	model	model	NOUN
ejpam-4547	12	7	implementation	implementation	NOUN
ejpam-4547	12	8	that	that	PRON
ejpam-4547	12	9	allows	allow	VERB
ejpam-4547	12	10	us	we	PRON
ejpam-4547	12	11	to	to	PART
ejpam-4547	12	12	test19	test19	VERB
ejpam-4547	12	13	the	the	DET
ejpam-4547	12	14	model	model	NOUN
ejpam-4547	12	15	in	in	ADP
ejpam-4547	12	16	various	various	ADJ
ejpam-4547	12	17	scenarios	scenario	NOUN
ejpam-4547	12	18	to	to	PART
ejpam-4547	12	19	understand	understand	VERB
ejpam-4547	12	20	its	its	PRON
ejpam-4547	12	21	behavior	behavior	NOUN
ejpam-4547	12	22	better	well	ADV
ejpam-4547	12	23	.	.	PUNCT
ejpam-4547	13	1	easy	easy	ADJ
ejpam-4547	13	2	java	java	PROPN
ejpam-4547	13	3	/	/	SYM
ejpam-4547	13	4	javascript20	javascript20	NOUN
ejpam-4547	13	5	simulations	simulation	NOUN
ejpam-4547	13	6	is	be	AUX
ejpam-4547	13	7	a	a	DET
ejpam-4547	13	8	modeling	modeling	NOUN
ejpam-4547	13	9	application	application	NOUN
ejpam-4547	13	10	that	that	PRON
ejpam-4547	13	11	enables	enable	VERB
ejpam-4547	13	12	non	non	ADJ
ejpam-4547	13	13	-	-	ADJ
ejpam-4547	13	14	computer	computer	ADJ
ejpam-4547	13	15	scientists	scientist	NOUN
ejpam-4547	13	16	to	to	PART
ejpam-4547	13	17	develop	develop	VERB
ejpam-4547	13	18	sim-21	sim-21	NUM
ejpam-4547	13	19	ulations	ulation	NOUN
ejpam-4547	13	20	in	in	ADP
ejpam-4547	13	21	two	two	NUM
ejpam-4547	13	22	programming	programming	NOUN
ejpam-4547	13	23	languages	language	NOUN
ejpam-4547	13	24	.	.	PUNCT
ejpam-4547	14	1	easy	easy	ADJ
ejpam-4547	14	2	java	java	PROPN
ejpam-4547	14	3	/	/	SYM
ejpam-4547	14	4	javascript	javascript	NOUN
ejpam-4547	14	5	simulations	simulation	NOUN
ejpam-4547	14	6	(	(	PUNCT
ejpam-4547	14	7	ejs	ejs	PROPN
ejpam-4547	14	8	)	)	PUNCT
ejpam-4547	14	9	is	be	AUX
ejpam-4547	14	10	a	a	DET
ejpam-4547	14	11	free,22	free,22	NOUN
ejpam-4547	14	12	open	open	ADJ
ejpam-4547	14	13	-	-	PUNCT
ejpam-4547	14	14	source	source	NOUN
ejpam-4547	14	15	application	application	NOUN
ejpam-4547	14	16	with	with	ADP
ejpam-4547	14	17	over	over	ADP
ejpam-4547	14	18	a	a	DET
ejpam-4547	14	19	thousand	thousand	NUM
ejpam-4547	14	20	simulations	simulation	NOUN
ejpam-4547	14	21	accessible	accessible	ADJ
ejpam-4547	14	22	in	in	ADP
ejpam-4547	14	23	the	the	DET
ejpam-4547	14	24	compadre23	compadre23	NOUN
ejpam-4547	14	25	digital	digital	PROPN
ejpam-4547	14	26	library	library	NOUN
ejpam-4547	14	27	[	[	X
ejpam-4547	14	28	4	4	NUM
ejpam-4547	14	29	,	,	PUNCT
ejpam-4547	14	30	13	13	NUM
ejpam-4547	14	31	]	]	PUNCT
ejpam-4547	14	32	.	.	PUNCT
ejpam-4547	15	1	ejs	ejs	PROPN
ejpam-4547	15	2	automates	automate	VERB
ejpam-4547	15	3	operations	operation	NOUN
ejpam-4547	15	4	like	like	ADP
ejpam-4547	15	5	animation	animation	NOUN
ejpam-4547	15	6	and	and	CCONJ
ejpam-4547	15	7	solving	solve	VERB
ejpam-4547	15	8	ordinary24	ordinary24	NOUN
ejpam-4547	15	9	differential	differential	NOUN
ejpam-4547	15	10	equations	equation	NOUN
ejpam-4547	15	11	numerically	numerically	ADV
ejpam-4547	15	12	.	.	PUNCT
ejpam-4547	16	1	easy	easy	ADJ
ejpam-4547	16	2	java	java	PROPN
ejpam-4547	16	3	/	/	SYM
ejpam-4547	16	4	javascript	javascript	NOUN
ejpam-4547	16	5	simulations	simulation	NOUN
ejpam-4547	16	6	has	have	VERB
ejpam-4547	16	7	three	three	NUM
ejpam-4547	16	8	modeling25	modeling25	NOUN
ejpam-4547	16	9	∗corresponding	∗corresponde	VERB
ejpam-4547	16	10	author	author	NOUN
ejpam-4547	16	11	.	.	PUNCT
ejpam-4547	17	1	doi	doi	NOUN
ejpam-4547	17	2	:	:	PUNCT
ejpam-4547	17	3	https://doi.org/10.29020/nybg.ejpam.v15i4.4547	https://doi.org/10.29020/nybg.ejpam.v15i4.4547	PROPN
ejpam-4547	17	4	email	email	NOUN
ejpam-4547	17	5	addresses	address	NOUN
ejpam-4547	17	6	:	:	PUNCT
ejpam-4547	17	7	noshad.m107@gmail.com	noshad.m107@gmail.com	X
ejpam-4547	17	8	(	(	PUNCT
ejpam-4547	17	9	m.	m.	NOUN
ejpam-4547	17	10	noshad	noshad	PROPN
ejpam-4547	17	11	)	)	PUNCT
ejpam-4547	17	12	,	,	PUNCT
ejpam-4547	17	13	apishkoo@gmail.com	apishkoo@gmail.com	X
ejpam-4547	17	14	(	(	PUNCT
ejpam-4547	17	15	a.	a.	NOUN
ejpam-4547	17	16	pishkoo	pishkoo	NOUN
ejpam-4547	17	17	)	)	PUNCT
ejpam-4547	17	18	,	,	PUNCT
ejpam-4547	17	19	maslina@ukm.edu.my	maslina@ukm.edu.my	X
ejpam-4547	17	20	(	(	PUNCT
ejpam-4547	17	21	m.	m.	NOUN
ejpam-4547	17	22	darus	darus	PROPN
ejpam-4547	17	23	)	)	PUNCT
ejpam-4547	17	24	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-4547	17	25	1738	1738	NUM
ejpam-4547	17	26	©	©	PROPN
ejpam-4547	17	27	2022	2022	NUM
ejpam-4547	17	28	ejpam	ejpam	VERB
ejpam-4547	17	29	all	all	DET
ejpam-4547	17	30	rights	right	NOUN
ejpam-4547	17	31	reserved	reserve	VERB
ejpam-4547	17	32	.	.	PUNCT
ejpam-4547	18	1	m.	m.	NOUN
ejpam-4547	18	2	noshad	noshad	PROPN
ejpam-4547	18	3	,	,	PUNCT
ejpam-4547	18	4	a.	a.	NOUN
ejpam-4547	18	5	pishkoo	pishkoo	NOUN
ejpam-4547	18	6	,	,	PUNCT
ejpam-4547	18	7	m.	m.	NOUN
ejpam-4547	18	8	darus	darus	NOUN
ejpam-4547	18	9	/	/	SYM
ejpam-4547	18	10	eur	eur	PROPN
ejpam-4547	18	11	.	.	PUNCT
ejpam-4547	19	1	j.	j.	PROPN
ejpam-4547	19	2	pure	pure	PROPN
ejpam-4547	19	3	appl	appl	PROPN
ejpam-4547	19	4	.	.	PROPN
ejpam-4547	19	5	math	math	PROPN
ejpam-4547	19	6	,	,	PUNCT
ejpam-4547	19	7	15	15	NUM
ejpam-4547	19	8	(	(	PUNCT
ejpam-4547	19	9	4	4	NUM
ejpam-4547	19	10	)	)	PUNCT
ejpam-4547	19	11	(	(	PUNCT
ejpam-4547	19	12	2022	2022	NUM
ejpam-4547	19	13	)	)	PUNCT
ejpam-4547	19	14	,	,	PUNCT
ejpam-4547	19	15	1738	1738	NUM
ejpam-4547	19	16	-	-	SYM
ejpam-4547	19	17	1749	1749	NUM
ejpam-4547	19	18	1739	1739	NUM
ejpam-4547	19	19	work	work	NOUN
ejpam-4547	19	20	panels	panel	NOUN
ejpam-4547	19	21	.	.	PUNCT
ejpam-4547	20	1	we	we	PRON
ejpam-4547	20	2	utilize	utilize	VERB
ejpam-4547	20	3	the	the	DET
ejpam-4547	20	4	application	application	NOUN
ejpam-4547	20	5	’s	’s	PART
ejpam-4547	20	6	sequence	sequence	NOUN
ejpam-4547	20	7	of	of	ADP
ejpam-4547	20	8	work	work	NOUN
ejpam-4547	20	9	panels	panel	NOUN
ejpam-4547	20	10	to	to	PART
ejpam-4547	20	11	develop	develop	VERB
ejpam-4547	20	12	the	the	DET
ejpam-4547	20	13	model26	model26	NOUN
ejpam-4547	20	14	and	and	CCONJ
ejpam-4547	20	15	its	its	PRON
ejpam-4547	20	16	graphical	graphical	ADJ
ejpam-4547	20	17	user	user	NOUN
ejpam-4547	20	18	interface	interface	NOUN
ejpam-4547	20	19	[	[	X
ejpam-4547	20	20	16].27	16].27	NUM
ejpam-4547	20	21	28	28	NUM
ejpam-4547	20	22	as	as	ADP
ejpam-4547	20	23	a	a	DET
ejpam-4547	20	24	result	result	NOUN
ejpam-4547	20	25	of	of	ADP
ejpam-4547	20	26	advancements	advancement	NOUN
ejpam-4547	20	27	in	in	ADP
ejpam-4547	20	28	computer	computer	NOUN
ejpam-4547	20	29	hardware	hardware	NOUN
ejpam-4547	20	30	and	and	CCONJ
ejpam-4547	20	31	software	software	NOUN
ejpam-4547	20	32	,	,	PUNCT
ejpam-4547	20	33	industry	industry	NOUN
ejpam-4547	20	34	,	,	PUNCT
ejpam-4547	20	35	business,29	business,29	NOUN
ejpam-4547	20	36	and	and	CCONJ
ejpam-4547	20	37	research	research	NOUN
ejpam-4547	20	38	have	have	AUX
ejpam-4547	20	39	successfully	successfully	ADV
ejpam-4547	20	40	undergone	undergo	VERB
ejpam-4547	20	41	technology	technology	NOUN
ejpam-4547	20	42	-	-	PUNCT
ejpam-4547	20	43	driven	drive	VERB
ejpam-4547	20	44	changes	change	NOUN
ejpam-4547	20	45	.	.	PUNCT
ejpam-4547	21	1	all	all	DET
ejpam-4547	21	2	three	three	NUM
ejpam-4547	21	3	industries30	industries30	NOUN
ejpam-4547	21	4	have	have	AUX
ejpam-4547	21	5	long	long	ADV
ejpam-4547	21	6	made	make	VERB
ejpam-4547	21	7	use	use	NOUN
ejpam-4547	21	8	of	of	ADP
ejpam-4547	21	9	computer	computer	NOUN
ejpam-4547	21	10	simulations	simulation	NOUN
ejpam-4547	21	11	.	.	PUNCT
ejpam-4547	22	1	programs	program	NOUN
ejpam-4547	22	2	were	be	AUX
ejpam-4547	22	3	first	first	ADV
ejpam-4547	22	4	created	create	VERB
ejpam-4547	22	5	to	to	PART
ejpam-4547	22	6	make	make	VERB
ejpam-4547	22	7	tasks31	tasks31	NOUN
ejpam-4547	22	8	simpler	simple	ADJ
ejpam-4547	22	9	or	or	CCONJ
ejpam-4547	22	10	quicker	quick	ADJ
ejpam-4547	22	11	.	.	PUNCT
ejpam-4547	23	1	simulations	simulation	NOUN
ejpam-4547	23	2	work	work	VERB
ejpam-4547	23	3	well	well	ADV
ejpam-4547	23	4	for	for	ADP
ejpam-4547	23	5	processes	process	NOUN
ejpam-4547	23	6	that	that	PRON
ejpam-4547	23	7	take	take	VERB
ejpam-4547	23	8	a	a	DET
ejpam-4547	23	9	very	very	ADV
ejpam-4547	23	10	long	long	ADJ
ejpam-4547	23	11	period	period	NOUN
ejpam-4547	23	12	or32	or32	PROPN
ejpam-4547	23	13	happen	happen	VERB
ejpam-4547	23	14	very	very	ADV
ejpam-4547	23	15	fast	fast	ADV
ejpam-4547	23	16	.	.	PUNCT
ejpam-4547	24	1	processes	process	NOUN
ejpam-4547	24	2	that	that	PRON
ejpam-4547	24	3	are	be	AUX
ejpam-4547	24	4	challenging	challenge	VERB
ejpam-4547	24	5	,	,	PUNCT
ejpam-4547	24	6	risky	risky	ADJ
ejpam-4547	24	7	,	,	PUNCT
ejpam-4547	24	8	or	or	CCONJ
ejpam-4547	24	9	expensive	expensive	ADJ
ejpam-4547	24	10	are	be	AUX
ejpam-4547	24	11	also	also	ADV
ejpam-4547	24	12	excellent33	excellent33	NOUN
ejpam-4547	24	13	candidates	candidate	NOUN
ejpam-4547	24	14	.	.	PUNCT
ejpam-4547	25	1	computer	computer	NOUN
ejpam-4547	25	2	simulations	simulation	NOUN
ejpam-4547	25	3	can	can	AUX
ejpam-4547	25	4	help	help	VERB
ejpam-4547	25	5	students	student	NOUN
ejpam-4547	25	6	comprehend	comprehend	VERB
ejpam-4547	25	7	science	science	PROPN
ejpam-4547	25	8	’s	’s	PART
ejpam-4547	25	9	hidden	hide	VERB
ejpam-4547	25	10	mental34	mental34	NOUN
ejpam-4547	25	11	realms	realm	NOUN
ejpam-4547	25	12	through	through	ADP
ejpam-4547	25	13	animation	animation	NOUN
ejpam-4547	25	14	,	,	PUNCT
ejpam-4547	25	15	resulting	result	VERB
ejpam-4547	25	16	in	in	ADP
ejpam-4547	25	17	a	a	DET
ejpam-4547	25	18	more	more	ADV
ejpam-4547	25	19	abstract	abstract	ADJ
ejpam-4547	25	20	comprehension	comprehension	NOUN
ejpam-4547	25	21	of	of	ADP
ejpam-4547	25	22	scientific	scientific	ADJ
ejpam-4547	25	23	ideas.35	ideas.35	ADJ
ejpam-4547	25	24	students	student	NOUN
ejpam-4547	25	25	can	can	AUX
ejpam-4547	25	26	manipulate	manipulate	VERB
ejpam-4547	25	27	and	and	CCONJ
ejpam-4547	25	28	visualize	visualize	VERB
ejpam-4547	25	29	quantitative	quantitative	ADJ
ejpam-4547	25	30	data	datum	NOUN
ejpam-4547	25	31	to	to	PART
ejpam-4547	25	32	form	form	VERB
ejpam-4547	25	33	a	a	DET
ejpam-4547	25	34	qualitative	qualitative	NOUN
ejpam-4547	25	35	mental36	mental36	NOUN
ejpam-4547	25	36	image[23].37	image[23].37	PROPN
ejpam-4547	25	37	38	38	NUM
ejpam-4547	25	38	involving	involve	VERB
ejpam-4547	25	39	students	student	NOUN
ejpam-4547	25	40	in	in	ADP
ejpam-4547	25	41	creating	create	VERB
ejpam-4547	25	42	physical	physical	ADJ
ejpam-4547	25	43	models	model	NOUN
ejpam-4547	25	44	to	to	PART
ejpam-4547	25	45	describe	describe	VERB
ejpam-4547	25	46	,	,	PUNCT
ejpam-4547	25	47	explain	explain	VERB
ejpam-4547	25	48	,	,	PUNCT
ejpam-4547	25	49	and	and	CCONJ
ejpam-4547	25	50	predict	predict	VERB
ejpam-4547	25	51	events39	events39	NOUN
ejpam-4547	25	52	has	have	AUX
ejpam-4547	25	53	been	be	AUX
ejpam-4547	25	54	proven	prove	VERB
ejpam-4547	25	55	to	to	PART
ejpam-4547	25	56	minimize	minimize	VERB
ejpam-4547	25	57	deficiencies	deficiency	NOUN
ejpam-4547	25	58	in	in	ADP
ejpam-4547	25	59	traditional	traditional	ADJ
ejpam-4547	25	60	teaching	teaching	NOUN
ejpam-4547	25	61	.	.	PUNCT
ejpam-4547	26	1	although	although	SCONJ
ejpam-4547	26	2	the	the	DET
ejpam-4547	26	3	modeling40	modeling40	NOUN
ejpam-4547	26	4	technique	technique	NOUN
ejpam-4547	26	5	may	may	AUX
ejpam-4547	26	6	be	be	AUX
ejpam-4547	26	7	used	use	VERB
ejpam-4547	26	8	without	without	ADP
ejpam-4547	26	9	a	a	DET
ejpam-4547	26	10	computer	computer	NOUN
ejpam-4547	26	11	,	,	PUNCT
ejpam-4547	26	12	employing	employ	VERB
ejpam-4547	26	13	one	one	NUM
ejpam-4547	26	14	allows	allow	VERB
ejpam-4547	26	15	students	student	NOUN
ejpam-4547	26	16	to	to	PART
ejpam-4547	26	17	research41	research41	VERB
ejpam-4547	26	18	difficult	difficult	ADJ
ejpam-4547	26	19	and	and	CCONJ
ejpam-4547	26	20	time	time	NOUN
ejpam-4547	26	21	-	-	PUNCT
ejpam-4547	26	22	consuming	consume	VERB
ejpam-4547	26	23	issues	issue	NOUN
ejpam-4547	26	24	,	,	PUNCT
ejpam-4547	26	25	illustrate	illustrate	VERB
ejpam-4547	26	26	their	their	PRON
ejpam-4547	26	27	results	result	NOUN
ejpam-4547	26	28	,	,	PUNCT
ejpam-4547	26	29	and	and	CCONJ
ejpam-4547	26	30	communicate	communicate	VERB
ejpam-4547	26	31	their	their	PRON
ejpam-4547	26	32	discov-42	discov-42	PROPN
ejpam-4547	26	33	eries	erie	NOUN
ejpam-4547	26	34	.	.	PUNCT
ejpam-4547	27	1	computer	computer	NOUN
ejpam-4547	27	2	modeling	modeling	NOUN
ejpam-4547	27	3	,	,	PUNCT
ejpam-4547	27	4	theory	theory	NOUN
ejpam-4547	27	5	,	,	PUNCT
ejpam-4547	27	6	and	and	CCONJ
ejpam-4547	27	7	experiment	experiment	NOUN
ejpam-4547	27	8	may	may	AUX
ejpam-4547	27	9	provide	provide	VERB
ejpam-4547	27	10	insights	insight	NOUN
ejpam-4547	27	11	and	and	CCONJ
ejpam-4547	27	12	information43	information43	ADJ
ejpam-4547	27	13	that	that	PRON
ejpam-4547	27	14	can	can	AUX
ejpam-4547	27	15	not	not	PART
ejpam-4547	27	16	be	be	AUX
ejpam-4547	27	17	achieved	achieve	VERB
ejpam-4547	27	18	with	with	ADP
ejpam-4547	27	19	a	a	DET
ejpam-4547	27	20	single	single	ADJ
ejpam-4547	27	21	method	method	NOUN
ejpam-4547	27	22	alone[12].44	alone[12].44	PROPN
ejpam-4547	27	23	45	45	NUM
ejpam-4547	27	24	by	by	ADP
ejpam-4547	27	25	providing	provide	VERB
ejpam-4547	27	26	a	a	DET
ejpam-4547	27	27	central	central	ADJ
ejpam-4547	27	28	website	website	NOUN
ejpam-4547	27	29	with	with	ADP
ejpam-4547	27	30	computer	computer	NOUN
ejpam-4547	27	31	modeling	modeling	NOUN
ejpam-4547	27	32	tools	tool	NOUN
ejpam-4547	27	33	,	,	PUNCT
ejpam-4547	27	34	simulations	simulation	NOUN
ejpam-4547	27	35	,	,	PUNCT
ejpam-4547	27	36	educational46	educational46	NOUN
ejpam-4547	27	37	resources	resource	NOUN
ejpam-4547	27	38	like	like	ADP
ejpam-4547	27	39	lesson	lesson	NOUN
ejpam-4547	27	40	plans	plan	NOUN
ejpam-4547	27	41	,	,	PUNCT
ejpam-4547	27	42	and	and	CCONJ
ejpam-4547	27	43	a	a	DET
ejpam-4547	27	44	computational	computational	ADJ
ejpam-4547	27	45	physics	physics	NOUN
ejpam-4547	27	46	textbook	textbook	NOUN
ejpam-4547	27	47	that	that	PRON
ejpam-4547	27	48	explains	explain	VERB
ejpam-4547	27	49	the	the	DET
ejpam-4547	27	50	algo-47	algo-47	PROPN
ejpam-4547	27	51	rithms	rithm	NOUN
ejpam-4547	27	52	used	use	VERB
ejpam-4547	27	53	in	in	ADP
ejpam-4547	27	54	the	the	DET
ejpam-4547	27	55	academic	academic	ADJ
ejpam-4547	27	56	simulations	simulation	NOUN
ejpam-4547	27	57	,	,	PUNCT
ejpam-4547	27	58	the	the	DET
ejpam-4547	27	59	open	open	ADJ
ejpam-4547	27	60	source	source	NOUN
ejpam-4547	27	61	physics	physics	PROPN
ejpam-4547	27	62	(	(	PUNCT
ejpam-4547	27	63	osp	osp	PROPN
ejpam-4547	27	64	)	)	PUNCT
ejpam-4547	27	65	project	project	NOUN
ejpam-4547	27	66	,	,	PUNCT
ejpam-4547	27	67	located48	located48	NOUN
ejpam-4547	27	68	at	at	ADP
ejpam-4547	27	69	www.compadre.org/osp/	www.compadre.org/osp/	NOUN
ejpam-4547	27	70	,	,	PUNCT
ejpam-4547	27	71	aims	aim	VERB
ejpam-4547	27	72	to	to	PART
ejpam-4547	27	73	improve	improve	VERB
ejpam-4547	27	74	computational	computational	ADJ
ejpam-4547	27	75	physics	physics	NOUN
ejpam-4547	27	76	education	education	NOUN
ejpam-4547	27	77	(	(	PUNCT
ejpam-4547	27	78	1	1	NUM
ejpam-4547	27	79	)	)	PUNCT
ejpam-4547	27	80	.	.	PUNCT
ejpam-4547	28	1	our49	our49	NOUN
ejpam-4547	28	2	teaching	teach	VERB
ejpam-4547	28	3	materials	material	NOUN
ejpam-4547	28	4	are	be	AUX
ejpam-4547	28	5	built	build	VERB
ejpam-4547	28	6	around	around	ADP
ejpam-4547	28	7	simple	simple	ADJ
ejpam-4547	28	8	single	single	ADJ
ejpam-4547	28	9	-	-	PUNCT
ejpam-4547	28	10	concept	concept	NOUN
ejpam-4547	28	11	simulations	simulation	NOUN
ejpam-4547	28	12	with	with	ADP
ejpam-4547	28	13	source	source	NOUN
ejpam-4547	28	14	codes50	codes50	NOUN
ejpam-4547	28	15	that	that	PRON
ejpam-4547	28	16	may	may	AUX
ejpam-4547	28	17	be	be	AUX
ejpam-4547	28	18	read	read	VERB
ejpam-4547	28	19	,	,	PUNCT
ejpam-4547	28	20	changed	change	VERB
ejpam-4547	28	21	,	,	PUNCT
ejpam-4547	28	22	recompiled	recompile	VERB
ejpam-4547	28	23	,	,	PUNCT
ejpam-4547	28	24	and	and	CCONJ
ejpam-4547	28	25	disseminated	disseminate	VERB
ejpam-4547	28	26	.	.	PUNCT
ejpam-4547	29	1	these	these	DET
ejpam-4547	29	2	interactive	interactive	ADJ
ejpam-4547	29	3	simulations51	simulations51	NOUN
ejpam-4547	29	4	will	will	AUX
ejpam-4547	29	5	teach	teach	VERB
ejpam-4547	29	6	students	student	NOUN
ejpam-4547	29	7	to	to	PART
ejpam-4547	29	8	critically	critically	ADV
ejpam-4547	29	9	analyze	analyze	VERB
ejpam-4547	29	10	and	and	CCONJ
ejpam-4547	29	11	examine	examine	VERB
ejpam-4547	29	12	the	the	DET
ejpam-4547	29	13	premises	premise	NOUN
ejpam-4547	29	14	and	and	CCONJ
ejpam-4547	29	15	results	result	NOUN
ejpam-4547	29	16	of	of	ADP
ejpam-4547	29	17	simula-52	simula-52	PROPN
ejpam-4547	29	18	tions	tion	NOUN
ejpam-4547	30	1	[	[	X
ejpam-4547	30	2	14].53	14].53	NUM
ejpam-4547	30	3	54	54	NUM
ejpam-4547	30	4	the	the	DET
ejpam-4547	30	5	open	open	ADJ
ejpam-4547	30	6	source	source	NOUN
ejpam-4547	30	7	physics	physics	PROPN
ejpam-4547	30	8	(	(	PUNCT
ejpam-4547	30	9	osp	osp	PROPN
ejpam-4547	30	10	)	)	PUNCT
ejpam-4547	30	11	project	project	NOUN
ejpam-4547	30	12	at	at	ADP
ejpam-4547	30	13	www.compadre.org/osp/	www.compadre.org/osp/	NOUN
ejpam-4547	30	14	aims	aim	VERB
ejpam-4547	30	15	to	to	PART
ejpam-4547	30	16	improve55	improve55	VERB
ejpam-4547	30	17	computational	computational	ADJ
ejpam-4547	30	18	physics	physics	NOUN
ejpam-4547	30	19	education	education	NOUN
ejpam-4547	30	20	by	by	ADP
ejpam-4547	30	21	providing	provide	VERB
ejpam-4547	30	22	a	a	DET
ejpam-4547	30	23	central	central	ADJ
ejpam-4547	30	24	web	web	NOUN
ejpam-4547	30	25	site	site	NOUN
ejpam-4547	30	26	with	with	ADP
ejpam-4547	30	27	computer	computer	NOUN
ejpam-4547	30	28	model-56	model-56	PROPN
ejpam-4547	30	29	ing	ing	ADJ
ejpam-4547	30	30	tools	tool	NOUN
ejpam-4547	30	31	,	,	PUNCT
ejpam-4547	30	32	simulations	simulation	NOUN
ejpam-4547	30	33	,	,	PUNCT
ejpam-4547	30	34	curricular	curricular	ADJ
ejpam-4547	30	35	resources	resource	NOUN
ejpam-4547	30	36	like	like	ADP
ejpam-4547	30	37	lesson	lesson	NOUN
ejpam-4547	30	38	plans	plan	NOUN
ejpam-4547	30	39	,	,	PUNCT
ejpam-4547	30	40	and	and	CCONJ
ejpam-4547	30	41	a	a	DET
ejpam-4547	30	42	computational	computational	ADJ
ejpam-4547	30	43	physics57	physics57	NOUN
ejpam-4547	30	44	textbook	textbook	NOUN
ejpam-4547	30	45	that	that	PRON
ejpam-4547	30	46	explains	explain	VERB
ejpam-4547	30	47	the	the	DET
ejpam-4547	30	48	algorithms	algorithm	NOUN
ejpam-4547	30	49	of	of	ADP
ejpam-4547	30	50	the	the	DET
ejpam-4547	30	51	scientific	scientific	ADJ
ejpam-4547	30	52	simulations	simulation	NOUN
ejpam-4547	30	53	.	.	PUNCT
ejpam-4547	31	1	our	our	PRON
ejpam-4547	31	2	tools	tool	NOUN
ejpam-4547	31	3	are	be	AUX
ejpam-4547	31	4	based58	based58	NOUN
ejpam-4547	31	5	on	on	ADP
ejpam-4547	31	6	short	short	ADJ
ejpam-4547	31	7	,	,	PUNCT
ejpam-4547	31	8	single	single	ADJ
ejpam-4547	31	9	-	-	PUNCT
ejpam-4547	31	10	idea	idea	NOUN
ejpam-4547	31	11	simulations	simulation	NOUN
ejpam-4547	31	12	with	with	ADP
ejpam-4547	31	13	source	source	NOUN
ejpam-4547	31	14	code	code	NOUN
ejpam-4547	31	15	that	that	PRON
ejpam-4547	31	16	can	can	AUX
ejpam-4547	31	17	be	be	AUX
ejpam-4547	31	18	looked	look	VERB
ejpam-4547	31	19	at	at	ADP
ejpam-4547	31	20	,	,	PUNCT
ejpam-4547	31	21	changed	change	VERB
ejpam-4547	31	22	,	,	PUNCT
ejpam-4547	31	23	recom-59	recom-59	PROPN
ejpam-4547	31	24	piled	pile	VERB
ejpam-4547	31	25	,	,	PUNCT
ejpam-4547	31	26	and	and	CCONJ
ejpam-4547	31	27	shared	share	VERB
ejpam-4547	31	28	freely	freely	ADV
ejpam-4547	31	29	.	.	PUNCT
ejpam-4547	32	1	these	these	DET
ejpam-4547	32	2	simulations	simulation	NOUN
ejpam-4547	32	3	are	be	AUX
ejpam-4547	32	4	used	use	VERB
ejpam-4547	32	5	to	to	PART
ejpam-4547	32	6	teach	teach	VERB
ejpam-4547	32	7	important	important	ADJ
ejpam-4547	32	8	computer	computer	NOUN
ejpam-4547	32	9	skills.60	skills.60	NOUN
ejpam-4547	32	10	all	all	DET
ejpam-4547	32	11	levels	level	NOUN
ejpam-4547	32	12	of	of	ADP
ejpam-4547	32	13	students	student	NOUN
ejpam-4547	32	14	will	will	AUX
ejpam-4547	32	15	benefit	benefit	VERB
ejpam-4547	32	16	from	from	ADP
ejpam-4547	32	17	these	these	DET
ejpam-4547	32	18	interactive	interactive	ADJ
ejpam-4547	32	19	simulations	simulation	NOUN
ejpam-4547	32	20	because	because	SCONJ
ejpam-4547	32	21	they	they	PRON
ejpam-4547	32	22	will	will	AUX
ejpam-4547	32	23	learn61	learn61	VERB
ejpam-4547	32	24	to	to	PART
ejpam-4547	32	25	question	question	VERB
ejpam-4547	32	26	and	and	CCONJ
ejpam-4547	32	27	evaluate	evaluate	VERB
ejpam-4547	32	28	the	the	DET
ejpam-4547	32	29	simulation	simulation	NOUN
ejpam-4547	32	30	’s	’s	PART
ejpam-4547	32	31	assumptions	assumption	NOUN
ejpam-4547	32	32	and	and	CCONJ
ejpam-4547	32	33	results	result	NOUN
ejpam-4547	32	34	[	[	X
ejpam-4547	32	35	14].62	14].62	NUM
ejpam-4547	32	36	63	63	NUM
ejpam-4547	32	37	every	every	DET
ejpam-4547	32	38	technical	technical	ADJ
ejpam-4547	32	39	task	task	NOUN
ejpam-4547	32	40	necessitates	necessitate	VERB
ejpam-4547	32	41	the	the	DET
ejpam-4547	32	42	use	use	NOUN
ejpam-4547	32	43	of	of	ADP
ejpam-4547	32	44	the	the	DET
ejpam-4547	32	45	appropriate	appropriate	ADJ
ejpam-4547	32	46	instrument	instrument	NOUN
ejpam-4547	32	47	.	.	PUNCT
ejpam-4547	33	1	easy	easy	ADJ
ejpam-4547	33	2	java64	java64	NOUN
ejpam-4547	33	3	simulations	simulation	NOUN
ejpam-4547	33	4	is	be	AUX
ejpam-4547	33	5	a	a	DET
ejpam-4547	33	6	java	java	NOUN
ejpam-4547	33	7	authoring	authoring	NOUN
ejpam-4547	33	8	tool	tool	NOUN
ejpam-4547	33	9	that	that	PRON
ejpam-4547	33	10	was	be	AUX
ejpam-4547	33	11	created	create	VERB
ejpam-4547	33	12	exclusively	exclusively	ADV
ejpam-4547	33	13	for	for	ADP
ejpam-4547	33	14	the	the	DET
ejpam-4547	33	15	construction	construction	NOUN
ejpam-4547	33	16	of65	of65	PROPN
ejpam-4547	33	17	interactive	interactive	ADJ
ejpam-4547	33	18	simulations	simulation	NOUN
ejpam-4547	33	19	.	.	PUNCT
ejpam-4547	34	1	though	though	SCONJ
ejpam-4547	34	2	it	it	PRON
ejpam-4547	34	3	’s	’	VERB
ejpam-4547	34	4	vital	vital	ADJ
ejpam-4547	34	5	to	to	PART
ejpam-4547	34	6	distinguish	distinguish	VERB
ejpam-4547	34	7	between	between	ADP
ejpam-4547	34	8	the	the	DET
ejpam-4547	34	9	finished	finished	ADJ
ejpam-4547	34	10	output	output	NOUN
ejpam-4547	34	11	and66	and66	NOUN
ejpam-4547	34	12	the	the	DET
ejpam-4547	34	13	tool	tool	NOUN
ejpam-4547	34	14	used	use	VERB
ejpam-4547	34	15	to	to	PART
ejpam-4547	34	16	create	create	VERB
ejpam-4547	34	17	it	it	PRON
ejpam-4547	34	18	,	,	PUNCT
ejpam-4547	34	19	theoretically	theoretically	ADV
ejpam-4547	34	20	,	,	PUNCT
ejpam-4547	34	21	any	any	DET
ejpam-4547	34	22	existing	exist	VERB
ejpam-4547	34	23	programming	programming	NOUN
ejpam-4547	34	24	language	language	NOUN
ejpam-4547	34	25	could	could	AUX
ejpam-4547	34	26	be	be	AUX
ejpam-4547	34	27	used67	used67	ADJ
ejpam-4547	34	28	to	to	PART
ejpam-4547	34	29	create	create	VERB
ejpam-4547	34	30	the	the	DET
ejpam-4547	34	31	simulations	simulation	NOUN
ejpam-4547	34	32	we	we	PRON
ejpam-4547	34	33	’ll	’ll	AUX
ejpam-4547	34	34	be	be	AUX
ejpam-4547	34	35	making	make	VERB
ejpam-4547	34	36	with	with	ADP
ejpam-4547	34	37	ejs	ejs	PROPN
ejpam-4547	34	38	.	.	PUNCT
ejpam-4547	35	1	this	this	DET
ejpam-4547	35	2	tool	tool	NOUN
ejpam-4547	35	3	stems	stem	VERB
ejpam-4547	35	4	from	from	ADP
ejpam-4547	35	5	the	the	DET
ejpam-4547	35	6	specific	specific	ADJ
ejpam-4547	35	7	exper-68	exper-68	PROPN
ejpam-4547	35	8	m.	m.	NOUN
ejpam-4547	35	9	noshad	noshad	VERB
ejpam-4547	35	10	,	,	PUNCT
ejpam-4547	35	11	a.	a.	NOUN
ejpam-4547	35	12	pishkoo	pishkoo	NOUN
ejpam-4547	35	13	,	,	PUNCT
ejpam-4547	35	14	m.	m.	NOUN
ejpam-4547	35	15	darus	darus	NOUN
ejpam-4547	35	16	/	/	SYM
ejpam-4547	35	17	eur	eur	PROPN
ejpam-4547	35	18	.	.	PUNCT
ejpam-4547	36	1	j.	j.	PROPN
ejpam-4547	36	2	pure	pure	PROPN
ejpam-4547	36	3	appl	appl	PROPN
ejpam-4547	36	4	.	.	PROPN
ejpam-4547	36	5	math	math	PROPN
ejpam-4547	36	6	,	,	PUNCT
ejpam-4547	36	7	15	15	NUM
ejpam-4547	36	8	(	(	PUNCT
ejpam-4547	36	9	4	4	NUM
ejpam-4547	36	10	)	)	PUNCT
ejpam-4547	36	11	(	(	PUNCT
ejpam-4547	36	12	2022	2022	NUM
ejpam-4547	36	13	)	)	PUNCT
ejpam-4547	36	14	,	,	PUNCT
ejpam-4547	36	15	1738	1738	NUM
ejpam-4547	36	16	-	-	SYM
ejpam-4547	36	17	1749	1749	NUM
ejpam-4547	36	18	1740	1740	NUM
ejpam-4547	36	19	tise	tise	NOUN
ejpam-4547	36	20	accumulated	accumulate	VERB
ejpam-4547	36	21	over	over	ADP
ejpam-4547	36	22	several	several	ADJ
ejpam-4547	36	23	years	year	NOUN
ejpam-4547	36	24	of	of	ADP
ejpam-4547	36	25	experience	experience	NOUN
ejpam-4547	36	26	in	in	ADP
ejpam-4547	36	27	the	the	DET
ejpam-4547	36	28	creation	creation	NOUN
ejpam-4547	36	29	of	of	ADP
ejpam-4547	36	30	computer	computer	NOUN
ejpam-4547	36	31	simulations69	simulations69	NOUN
ejpam-4547	36	32	and	and	CCONJ
ejpam-4547	36	33	will	will	AUX
ejpam-4547	36	34	thus	thus	ADV
ejpam-4547	36	35	be	be	AUX
ejpam-4547	36	36	very	very	ADV
ejpam-4547	36	37	useful	useful	ADJ
ejpam-4547	36	38	to	to	PART
ejpam-4547	36	39	simplify	simplify	VERB
ejpam-4547	36	40	our	our	PRON
ejpam-4547	36	41	task	task	NOUN
ejpam-4547	36	42	,	,	PUNCT
ejpam-4547	36	43	both	both	PRON
ejpam-4547	36	44	technically	technically	ADV
ejpam-4547	36	45	and	and	CCONJ
ejpam-4547	36	46	conceptually	conceptually	ADV
ejpam-4547	37	1	[	[	X
ejpam-4547	37	2	16].70	16].70	NUM
ejpam-4547	37	3	71	71	NUM
ejpam-4547	37	4	the	the	DET
ejpam-4547	37	5	proper	proper	ADJ
ejpam-4547	37	6	instrument	instrument	NOUN
ejpam-4547	37	7	is	be	AUX
ejpam-4547	37	8	necessary	necessary	ADJ
ejpam-4547	37	9	for	for	ADP
ejpam-4547	37	10	every	every	DET
ejpam-4547	37	11	technical	technical	ADJ
ejpam-4547	37	12	task	task	NOUN
ejpam-4547	37	13	.	.	PUNCT
ejpam-4547	38	1	easy	easy	ADJ
ejpam-4547	38	2	java	java	PROPN
ejpam-4547	38	3	simulations72	simulations72	NOUN
ejpam-4547	38	4	is	be	AUX
ejpam-4547	38	5	an	an	DET
ejpam-4547	38	6	authoring	author	VERB
ejpam-4547	38	7	tool	tool	NOUN
ejpam-4547	38	8	created	create	VERB
ejpam-4547	38	9	exclusively	exclusively	ADV
ejpam-4547	38	10	for	for	ADP
ejpam-4547	38	11	developing	develop	VERB
ejpam-4547	38	12	java	java	NOUN
ejpam-4547	38	13	-	-	PUNCT
ejpam-4547	38	14	based	base	VERB
ejpam-4547	38	15	interactive	interactive	ADJ
ejpam-4547	38	16	simulations.73	simulations.73	NOUN
ejpam-4547	38	17	although	although	SCONJ
ejpam-4547	38	18	it	it	PRON
ejpam-4547	38	19	’s	’	VERB
ejpam-4547	38	20	important	important	ADJ
ejpam-4547	38	21	to	to	PART
ejpam-4547	38	22	distinguish	distinguish	VERB
ejpam-4547	38	23	between	between	ADP
ejpam-4547	38	24	the	the	DET
ejpam-4547	38	25	final	final	ADJ
ejpam-4547	38	26	product	product	NOUN
ejpam-4547	38	27	and	and	CCONJ
ejpam-4547	38	28	the	the	DET
ejpam-4547	38	29	tool	tool	NOUN
ejpam-4547	38	30	used	use	VERB
ejpam-4547	38	31	to	to	PART
ejpam-4547	38	32	make74	make74	VERB
ejpam-4547	38	33	it	it	PRON
ejpam-4547	38	34	,	,	PUNCT
ejpam-4547	38	35	the	the	DET
ejpam-4547	38	36	simulations	simulation	NOUN
ejpam-4547	38	37	we	we	PRON
ejpam-4547	38	38	’ll	’ll	AUX
ejpam-4547	38	39	build	build	VERB
ejpam-4547	38	40	with	with	ADP
ejpam-4547	38	41	ejs	ejs	PROPN
ejpam-4547	38	42	could	could	AUX
ejpam-4547	38	43	theoretically	theoretically	ADV
ejpam-4547	38	44	also	also	ADV
ejpam-4547	38	45	be	be	AUX
ejpam-4547	38	46	constructed	construct	VERB
ejpam-4547	38	47	using	use	VERB
ejpam-4547	38	48	any75	any75	ADJ
ejpam-4547	38	49	modern	modern	ADJ
ejpam-4547	38	50	computer	computer	NOUN
ejpam-4547	38	51	programming	programming	NOUN
ejpam-4547	38	52	language	language	NOUN
ejpam-4547	38	53	.	.	PUNCT
ejpam-4547	39	1	consequently	consequently	ADV
ejpam-4547	39	2	,	,	PUNCT
ejpam-4547	39	3	this	this	DET
ejpam-4547	39	4	tool	tool	NOUN
ejpam-4547	39	5	comes	come	VERB
ejpam-4547	39	6	from	from	ADP
ejpam-4547	39	7	the	the	DET
ejpam-4547	39	8	specific76	specific76	NOUN
ejpam-4547	39	9	expertise	expertise	NOUN
ejpam-4547	39	10	developed	develop	VERB
ejpam-4547	39	11	over	over	ADP
ejpam-4547	39	12	many	many	ADJ
ejpam-4547	39	13	years	year	NOUN
ejpam-4547	39	14	of	of	ADP
ejpam-4547	39	15	experience	experience	NOUN
ejpam-4547	39	16	in	in	ADP
ejpam-4547	39	17	creating	create	VERB
ejpam-4547	39	18	computer	computer	NOUN
ejpam-4547	39	19	simulations	simulation	NOUN
ejpam-4547	39	20	.	.	PUNCT
ejpam-4547	40	1	it77	it77	PROPN
ejpam-4547	40	2	will	will	AUX
ejpam-4547	40	3	be	be	AUX
ejpam-4547	40	4	of	of	ADP
ejpam-4547	40	5	great	great	ADJ
ejpam-4547	40	6	assistance	assistance	NOUN
ejpam-4547	40	7	to	to	PART
ejpam-4547	40	8	simplify	simplify	VERB
ejpam-4547	40	9	our	our	PRON
ejpam-4547	40	10	task	task	NOUN
ejpam-4547	40	11	from	from	ADP
ejpam-4547	40	12	both	both	CCONJ
ejpam-4547	40	13	the	the	DET
ejpam-4547	40	14	technical	technical	ADJ
ejpam-4547	40	15	and	and	CCONJ
ejpam-4547	40	16	conceptual78	conceptual78	ADJ
ejpam-4547	40	17	points	point	NOUN
ejpam-4547	40	18	of	of	ADP
ejpam-4547	40	19	view	view	NOUN
ejpam-4547	41	1	[	[	X
ejpam-4547	41	2	3].79	3].79	NUM
ejpam-4547	41	3	80	80	NUM
ejpam-4547	41	4	using	use	VERB
ejpam-4547	41	5	conformable	conformable	ADJ
ejpam-4547	41	6	fractional	fractional	ADJ
ejpam-4547	41	7	derivative	derivative	NOUN
ejpam-4547	41	8	,	,	PUNCT
ejpam-4547	41	9	in	in	ADP
ejpam-4547	41	10	this	this	DET
ejpam-4547	41	11	paper	paper	NOUN
ejpam-4547	41	12	,	,	PUNCT
ejpam-4547	41	13	we	we	PRON
ejpam-4547	41	14	will	will	AUX
ejpam-4547	41	15	solve	solve	VERB
ejpam-4547	41	16	some	some	DET
ejpam-4547	41	17	fractional81	fractional81	NOUN
ejpam-4547	41	18	differential	differential	ADJ
ejpam-4547	41	19	equations	equation	NOUN
ejpam-4547	41	20	numerically	numerically	ADV
ejpam-4547	41	21	through	through	ADP
ejpam-4547	41	22	easy	easy	ADJ
ejpam-4547	41	23	java	java	NOUN
ejpam-4547	41	24	simulations	simulation	NOUN
ejpam-4547	41	25	(	(	PUNCT
ejpam-4547	41	26	ejss	ejss	NOUN
ejpam-4547	41	27	)	)	PUNCT
ejpam-4547	41	28	software.82	software.82	NOUN
ejpam-4547	41	29	2	2	NUM
ejpam-4547	41	30	.	.	PUNCT
ejpam-4547	41	31	fractional	fractional	ADJ
ejpam-4547	41	32	calculus	calculus	NOUN
ejpam-4547	41	33	and	and	CCONJ
ejpam-4547	41	34	fractional	fractional	ADJ
ejpam-4547	41	35	differential	differential	NOUN
ejpam-4547	41	36	equations83	equations83	NOUN
ejpam-4547	41	37	calculus	calculus	NOUN
ejpam-4547	41	38	came	come	VERB
ejpam-4547	41	39	before	before	ADP
ejpam-4547	41	40	fractional	fractional	ADJ
ejpam-4547	41	41	derivatives	derivative	NOUN
ejpam-4547	41	42	.	.	PUNCT
ejpam-4547	42	1	l’hospital	l’hospital	PROPN
ejpam-4547	42	2	pondered	ponder	VERB
ejpam-4547	42	3	the	the	DET
ejpam-4547	42	4	meaning	meaning	NOUN
ejpam-4547	42	5	of84	of84	PROPN
ejpam-4547	42	6	dnf	dnf	PROPN
ejpam-4547	42	7	dxn	dxn	VERB
ejpam-4547	42	8	if	if	SCONJ
ejpam-4547	42	9	n	n	NOUN
ejpam-4547	42	10	=	=	NOUN
ejpam-4547	42	11	1/2	1/2	NUM
ejpam-4547	42	12	in	in	ADP
ejpam-4547	42	13	1695	1695	NUM
ejpam-4547	42	14	.	.	PUNCT
ejpam-4547	43	1	since	since	SCONJ
ejpam-4547	43	2	then	then	ADV
ejpam-4547	43	3	,	,	PUNCT
ejpam-4547	43	4	other	other	ADJ
ejpam-4547	43	5	academics	academic	NOUN
ejpam-4547	43	6	have	have	AUX
ejpam-4547	43	7	worked	work	VERB
ejpam-4547	43	8	to	to	PART
ejpam-4547	43	9	clarify	clarify	VERB
ejpam-4547	43	10	what	what	PRON
ejpam-4547	43	11	a85	a85	NOUN
ejpam-4547	43	12	fractional	fractional	ADJ
ejpam-4547	43	13	derivative	derivative	NOUN
ejpam-4547	43	14	is	be	AUX
ejpam-4547	43	15	.	.	PUNCT
ejpam-4547	44	1	different	different	ADJ
ejpam-4547	44	2	forms	form	NOUN
ejpam-4547	44	3	of	of	ADP
ejpam-4547	44	4	fractional	fractional	ADJ
ejpam-4547	44	5	derivatives	derivative	NOUN
ejpam-4547	44	6	exist	exist	VERB
ejpam-4547	44	7	(	(	PUNCT
ejpam-4547	44	8	for	for	ADP
ejpam-4547	44	9	example	example	NOUN
ejpam-4547	44	10	,	,	PUNCT
ejpam-4547	44	11	see86	see86	PROPN
ejpam-4547	45	1	[	[	X
ejpam-4547	45	2	26	26	NUM
ejpam-4547	45	3	,	,	PUNCT
ejpam-4547	45	4	27	27	NUM
ejpam-4547	45	5	,	,	PUNCT
ejpam-4547	45	6	29	29	NUM
ejpam-4547	45	7	,	,	PUNCT
ejpam-4547	45	8	31	31	NUM
ejpam-4547	45	9	,	,	PUNCT
ejpam-4547	45	10	32	32	NUM
ejpam-4547	45	11	]	]	PUNCT
ejpam-4547	45	12	)	)	PUNCT
ejpam-4547	45	13	.	.	PUNCT
ejpam-4547	46	1	famous	famous	ADJ
ejpam-4547	46	2	mathematicians	mathematician	NOUN
ejpam-4547	46	3	including	include	VERB
ejpam-4547	46	4	riemann	riemann	PROPN
ejpam-4547	46	5	,	,	PUNCT
ejpam-4547	46	6	liouville	liouville	PROPN
ejpam-4547	46	7	,	,	PUNCT
ejpam-4547	46	8	letnikov,87	letnikov,87	NOUN
ejpam-4547	46	9	sonin	sonin	ADJ
ejpam-4547	46	10	,	,	PUNCT
ejpam-4547	46	11	weyl	weyl	PROPN
ejpam-4547	46	12	,	,	PUNCT
ejpam-4547	46	13	riesz	riesz	NOUN
ejpam-4547	46	14	,	,	PUNCT
ejpam-4547	46	15	erdelyi	erdelyi	NOUN
ejpam-4547	46	16	,	,	PUNCT
ejpam-4547	46	17	kober	kober	PROPN
ejpam-4547	46	18	,	,	PUNCT
ejpam-4547	46	19	and	and	CCONJ
ejpam-4547	46	20	others	other	NOUN
ejpam-4547	46	21	proposed	propose	VERB
ejpam-4547	46	22	fractional	fractional	ADJ
ejpam-4547	46	23	derivatives	derivative	NOUN
ejpam-4547	46	24	.	.	PUNCT
ejpam-4547	47	1	in	in	ADP
ejpam-4547	47	2	the88	the88	NOUN
ejpam-4547	47	3	natural	natural	ADJ
ejpam-4547	47	4	sciences	science	NOUN
ejpam-4547	47	5	,	,	PUNCT
ejpam-4547	47	6	processes	process	NOUN
ejpam-4547	47	7	and	and	CCONJ
ejpam-4547	47	8	systems	system	NOUN
ejpam-4547	47	9	with	with	ADP
ejpam-4547	47	10	spatial	spatial	ADJ
ejpam-4547	47	11	and	and	CCONJ
ejpam-4547	47	12	temporal	temporal	ADJ
ejpam-4547	47	13	non	non	ADJ
ejpam-4547	47	14	-	-	ADJ
ejpam-4547	47	15	locality	locality	ADJ
ejpam-4547	47	16	are	be	AUX
ejpam-4547	47	17	often89	often89	PROPN
ejpam-4547	47	18	explained	explain	VERB
ejpam-4547	47	19	using	use	VERB
ejpam-4547	47	20	fractional	fractional	ADJ
ejpam-4547	47	21	derivatives	derivative	NOUN
ejpam-4547	47	22	of	of	ADP
ejpam-4547	47	23	non	non	ADJ
ejpam-4547	47	24	-	-	ADJ
ejpam-4547	47	25	integer	integer	ADJ
ejpam-4547	47	26	orders	order	NOUN
ejpam-4547	47	27	(	(	PUNCT
ejpam-4547	47	28	the	the	DET
ejpam-4547	47	29	non	non	ADJ
ejpam-4547	47	30	-	-	NOUN
ejpam-4547	47	31	locality	locality	NOUN
ejpam-4547	47	32	in	in	ADP
ejpam-4547	47	33	time	time	NOUN
ejpam-4547	47	34	is	be	AUX
ejpam-4547	47	35	usu-90	usu-90	NUM
ejpam-4547	47	36	ally	ally	NOUN
ejpam-4547	47	37	called	call	VERB
ejpam-4547	47	38	memory	memory	NOUN
ejpam-4547	47	39	)	)	PUNCT
ejpam-4547	47	40	.	.	PUNCT
ejpam-4547	48	1	in	in	ADP
ejpam-4547	48	2	general	general	ADJ
ejpam-4547	48	3	,	,	PUNCT
ejpam-4547	48	4	integro	integro	ADJ
ejpam-4547	48	5	-	-	PUNCT
ejpam-4547	48	6	differential	differential	NOUN
ejpam-4547	48	7	operators	operator	NOUN
ejpam-4547	48	8	are	be	AUX
ejpam-4547	48	9	a	a	DET
ejpam-4547	48	10	subclass	subclass	NOUN
ejpam-4547	48	11	of	of	ADP
ejpam-4547	48	12	fractional91	fractional91	NOUN
ejpam-4547	48	13	derivatives	derivative	NOUN
ejpam-4547	48	14	of	of	ADP
ejpam-4547	48	15	non	non	ADJ
ejpam-4547	48	16	-	-	ADJ
ejpam-4547	48	17	integer	integer	ADJ
ejpam-4547	48	18	orders.92	orders.92	ADJ
ejpam-4547	48	19	93	93	NUM
ejpam-4547	48	20	in	in	ADP
ejpam-4547	48	21	recent	recent	ADJ
ejpam-4547	48	22	years	year	NOUN
ejpam-4547	48	23	,	,	PUNCT
ejpam-4547	48	24	fractional	fractional	ADJ
ejpam-4547	48	25	differential	differential	ADJ
ejpam-4547	48	26	equations	equation	NOUN
ejpam-4547	48	27	(	(	PUNCT
ejpam-4547	48	28	fdes	fde	NOUN
ejpam-4547	48	29	)	)	PUNCT
ejpam-4547	48	30	in	in	ADP
ejpam-4547	48	31	the	the	DET
ejpam-4547	48	32	sense	sense	NOUN
ejpam-4547	48	33	of	of	ADP
ejpam-4547	48	34	riemann-94	riemann-94	PROPN
ejpam-4547	48	35	liouville	liouville	NOUN
ejpam-4547	48	36	,	,	PUNCT
ejpam-4547	48	37	caputo	caputo	PROPN
ejpam-4547	48	38	,	,	PUNCT
ejpam-4547	48	39	and	and	CCONJ
ejpam-4547	48	40	grunwald	grunwald	NOUN
ejpam-4547	48	41	-	-	PUNCT
ejpam-4547	48	42	letnikov	letnikov	NOUN
ejpam-4547	48	43	have	have	AUX
ejpam-4547	48	44	played	play	VERB
ejpam-4547	48	45	an	an	DET
ejpam-4547	48	46	essential	essential	ADJ
ejpam-4547	48	47	role	role	NOUN
ejpam-4547	48	48	in	in	ADP
ejpam-4547	48	49	modeling	model	VERB
ejpam-4547	48	50	vari-95	vari-95	PROPN
ejpam-4547	48	51	ous	ous	ADJ
ejpam-4547	48	52	real	real	ADJ
ejpam-4547	48	53	-	-	PUNCT
ejpam-4547	48	54	world	world	NOUN
ejpam-4547	48	55	issues	issue	NOUN
ejpam-4547	48	56	.	.	PUNCT
ejpam-4547	49	1	fdes	fde	NOUN
ejpam-4547	49	2	have	have	AUX
ejpam-4547	49	3	been	be	AUX
ejpam-4547	49	4	used	use	VERB
ejpam-4547	49	5	to	to	PART
ejpam-4547	49	6	describe	describe	VERB
ejpam-4547	49	7	real	real	ADJ
ejpam-4547	49	8	-	-	PUNCT
ejpam-4547	49	9	world	world	NOUN
ejpam-4547	49	10	events	event	NOUN
ejpam-4547	49	11	in	in	ADP
ejpam-4547	49	12	many	many	ADJ
ejpam-4547	49	13	fields,96	fields,96	NOUN
ejpam-4547	49	14	such	such	ADJ
ejpam-4547	49	15	as	as	ADP
ejpam-4547	49	16	diffusion	diffusion	NOUN
ejpam-4547	49	17	and	and	CCONJ
ejpam-4547	49	18	dynamics	dynamic	NOUN
ejpam-4547	49	19	in	in	ADP
ejpam-4547	49	20	biology	biology	NOUN
ejpam-4547	49	21	,	,	PUNCT
ejpam-4547	49	22	fluid	fluid	ADJ
ejpam-4547	49	23	mechanics	mechanic	NOUN
ejpam-4547	49	24	,	,	PUNCT
ejpam-4547	49	25	fluid	fluid	ADJ
ejpam-4547	49	26	flow	flow	NOUN
ejpam-4547	49	27	,	,	PUNCT
ejpam-4547	49	28	signal	signal	VERB
ejpam-4547	49	29	processing,97	processing,97	NOUN
ejpam-4547	49	30	and	and	CCONJ
ejpam-4547	49	31	others	other	NOUN
ejpam-4547	50	1	[	[	X
ejpam-4547	50	2	15	15	NUM
ejpam-4547	50	3	,	,	PUNCT
ejpam-4547	50	4	20	20	NUM
ejpam-4547	50	5	,	,	PUNCT
ejpam-4547	50	6	22	22	NUM
ejpam-4547	50	7	,	,	PUNCT
ejpam-4547	50	8	25	25	NUM
ejpam-4547	50	9	,	,	PUNCT
ejpam-4547	50	10	30	30	NUM
ejpam-4547	50	11	,	,	PUNCT
ejpam-4547	50	12	33	33	NUM
ejpam-4547	50	13	]	]	PUNCT
ejpam-4547	50	14	.	.	PUNCT
ejpam-4547	51	1	an	an	DET
ejpam-4547	51	2	alternate	alternate	ADJ
ejpam-4547	51	3	formulation	formulation	NOUN
ejpam-4547	51	4	of	of	ADP
ejpam-4547	51	5	the	the	DET
ejpam-4547	51	6	diffusion	diffusion	NOUN
ejpam-4547	51	7	equation	equation	NOUN
ejpam-4547	51	8	is98	is98	PROPN
ejpam-4547	51	9	presented	present	VERB
ejpam-4547	51	10	to	to	PART
ejpam-4547	51	11	enhance	enhance	VERB
ejpam-4547	51	12	anomalous	anomalous	ADJ
ejpam-4547	51	13	diffusion	diffusion	NOUN
ejpam-4547	51	14	modeling	modeling	NOUN
ejpam-4547	51	15	by	by	ADP
ejpam-4547	51	16	employing	employ	VERB
ejpam-4547	51	17	a	a	DET
ejpam-4547	51	18	new	new	ADJ
ejpam-4547	51	19	derivative	derivative	ADJ
ejpam-4547	51	20	with99	with99	NOUN
ejpam-4547	51	21	fractional	fractional	ADJ
ejpam-4547	51	22	order	order	NOUN
ejpam-4547	51	23	known	know	VERB
ejpam-4547	51	24	as	as	ADP
ejpam-4547	51	25	the	the	DET
ejpam-4547	51	26	conformable	conformable	ADJ
ejpam-4547	51	27	derivative	derivative	NOUN
ejpam-4547	51	28	.	.	PUNCT
ejpam-4547	52	1	the	the	DET
ejpam-4547	52	2	analytical	analytical	ADJ
ejpam-4547	52	3	solutions	solution	NOUN
ejpam-4547	52	4	to	to	ADP
ejpam-4547	52	5	the100	the100	PROPN
ejpam-4547	52	6	conformable	conformable	ADJ
ejpam-4547	52	7	derivative	derivative	ADJ
ejpam-4547	52	8	model	model	NOUN
ejpam-4547	52	9	are	be	AUX
ejpam-4547	52	10	provided	provide	VERB
ejpam-4547	52	11	in	in	ADP
ejpam-4547	52	12	terms	term	NOUN
ejpam-4547	52	13	of	of	ADP
ejpam-4547	52	14	the	the	DET
ejpam-4547	52	15	gauss	gauss	ADJ
ejpam-4547	52	16	kernel	kernel	PROPN
ejpam-4547	52	17	and	and	CCONJ
ejpam-4547	52	18	the	the	DET
ejpam-4547	52	19	error101	error101	PROPN
ejpam-4547	52	20	function	function	NOUN
ejpam-4547	52	21	.	.	PUNCT
ejpam-4547	53	1	the	the	DET
ejpam-4547	53	2	conformable	conformable	ADJ
ejpam-4547	53	3	diffusion	diffusion	NOUN
ejpam-4547	53	4	model	model	NOUN
ejpam-4547	53	5	’s	’s	PART
ejpam-4547	53	6	power	power	NOUN
ejpam-4547	53	7	law	law	NOUN
ejpam-4547	53	8	of	of	ADP
ejpam-4547	53	9	the	the	DET
ejpam-4547	53	10	mean	mean	ADJ
ejpam-4547	53	11	square	square	NOUN
ejpam-4547	53	12	displacement102	displacement102	PROPN
ejpam-4547	53	13	is	be	AUX
ejpam-4547	53	14	examined	examine	VERB
ejpam-4547	53	15	using	use	VERB
ejpam-4547	53	16	the	the	DET
ejpam-4547	53	17	time	time	NOUN
ejpam-4547	53	18	-	-	PUNCT
ejpam-4547	53	19	dependent	dependent	ADJ
ejpam-4547	53	20	gauss	gauss	ADJ
ejpam-4547	53	21	kernel	kernel	PROPN
ejpam-4547	53	22	.	.	PUNCT
ejpam-4547	54	1	the	the	DET
ejpam-4547	54	2	levenberg	levenberg	PROPN
ejpam-4547	54	3	-	-	PUNCT
ejpam-4547	54	4	marquardt	marquardt	PROPN
ejpam-4547	54	5	approach103	approach103	PROPN
ejpam-4547	54	6	is	be	AUX
ejpam-4547	54	7	used	use	VERB
ejpam-4547	54	8	to	to	PART
ejpam-4547	54	9	calculate	calculate	VERB
ejpam-4547	54	10	the	the	DET
ejpam-4547	54	11	parameters	parameter	NOUN
ejpam-4547	54	12	of	of	ADP
ejpam-4547	54	13	the	the	DET
ejpam-4547	54	14	conformable	conformable	ADJ
ejpam-4547	54	15	derivative	derivative	ADJ
ejpam-4547	54	16	model	model	NOUN
ejpam-4547	54	17	from	from	ADP
ejpam-4547	54	18	the	the	DET
ejpam-4547	54	19	experi-104	experi-104	NOUN
ejpam-4547	54	20	mental	mental	ADJ
ejpam-4547	54	21	data	datum	NOUN
ejpam-4547	54	22	of	of	ADP
ejpam-4547	54	23	chloride	chloride	NOUN
ejpam-4547	54	24	ion	ion	NOUN
ejpam-4547	54	25	transport	transport	NOUN
ejpam-4547	54	26	in	in	ADP
ejpam-4547	54	27	reinforced	reinforce	VERB
ejpam-4547	54	28	concrete	concrete	NOUN
ejpam-4547	54	29	.	.	PUNCT
ejpam-4547	55	1	fitting	fit	VERB
ejpam-4547	55	2	the	the	DET
ejpam-4547	55	3	data	data	NOUN
ejpam-4547	55	4	shows	show	VERB
ejpam-4547	55	5	that105	that105	PROPN
ejpam-4547	55	6	the	the	DET
ejpam-4547	55	7	conformable	conformable	ADJ
ejpam-4547	55	8	derivative	derivative	ADJ
ejpam-4547	55	9	model	model	NOUN
ejpam-4547	55	10	and	and	CCONJ
ejpam-4547	55	11	the	the	DET
ejpam-4547	55	12	experimental	experimental	ADJ
ejpam-4547	55	13	data	datum	NOUN
ejpam-4547	55	14	match	match	VERB
ejpam-4547	55	15	up	up	ADP
ejpam-4547	55	16	better	well	ADV
ejpam-4547	55	17	than	than	ADP
ejpam-4547	55	18	the106	the106	PROPN
ejpam-4547	55	19	usual	usual	ADJ
ejpam-4547	55	20	diffusion	diffusion	NOUN
ejpam-4547	55	21	equation	equation	NOUN
ejpam-4547	55	22	[	[	X
ejpam-4547	55	23	36].107	36].107	PROPN
ejpam-4547	55	24	108	108	NUM
ejpam-4547	55	25	mathematical	mathematical	ADJ
ejpam-4547	55	26	modeling	modeling	NOUN
ejpam-4547	55	27	is	be	AUX
ejpam-4547	55	28	one	one	NUM
ejpam-4547	55	29	of	of	ADP
ejpam-4547	55	30	the	the	DET
ejpam-4547	55	31	viable	viable	ADJ
ejpam-4547	55	32	ways	way	NOUN
ejpam-4547	55	33	of	of	ADP
ejpam-4547	55	34	solving	solve	VERB
ejpam-4547	55	35	real	real	ADJ
ejpam-4547	55	36	-	-	PUNCT
ejpam-4547	55	37	world	world	NOUN
ejpam-4547	55	38	issues	issue	NOUN
ejpam-4547	55	39	.	.	PUNCT
ejpam-4547	56	1	modeling109	modeling109	VERB
ejpam-4547	56	2	m.	m.	NOUN
ejpam-4547	56	3	noshad	noshad	PROPN
ejpam-4547	56	4	,	,	PUNCT
ejpam-4547	56	5	a.	a.	NOUN
ejpam-4547	56	6	pishkoo	pishkoo	NOUN
ejpam-4547	56	7	,	,	PUNCT
ejpam-4547	56	8	m.	m.	NOUN
ejpam-4547	56	9	darus	darus	NOUN
ejpam-4547	56	10	/	/	SYM
ejpam-4547	56	11	eur	eur	PROPN
ejpam-4547	56	12	.	.	PUNCT
ejpam-4547	57	1	j.	j.	PROPN
ejpam-4547	57	2	pure	pure	PROPN
ejpam-4547	57	3	appl	appl	PROPN
ejpam-4547	57	4	.	.	PROPN
ejpam-4547	57	5	math	math	PROPN
ejpam-4547	57	6	,	,	PUNCT
ejpam-4547	57	7	15	15	NUM
ejpam-4547	57	8	(	(	PUNCT
ejpam-4547	57	9	4	4	NUM
ejpam-4547	57	10	)	)	PUNCT
ejpam-4547	57	11	(	(	PUNCT
ejpam-4547	57	12	2022	2022	NUM
ejpam-4547	57	13	)	)	PUNCT
ejpam-4547	57	14	,	,	PUNCT
ejpam-4547	57	15	1738	1738	NUM
ejpam-4547	57	16	-	-	SYM
ejpam-4547	57	17	1749	1749	NUM
ejpam-4547	57	18	1741	1741	NUM
ejpam-4547	57	19	may	may	AUX
ejpam-4547	57	20	be	be	AUX
ejpam-4547	57	21	done	do	VERB
ejpam-4547	57	22	in	in	ADP
ejpam-4547	57	23	a	a	DET
ejpam-4547	57	24	variety	variety	NOUN
ejpam-4547	57	25	of	of	ADP
ejpam-4547	57	26	ways	way	NOUN
ejpam-4547	57	27	,	,	PUNCT
ejpam-4547	57	28	including	include	VERB
ejpam-4547	57	29	statistical	statistical	ADJ
ejpam-4547	57	30	approaches	approach	NOUN
ejpam-4547	57	31	that	that	PRON
ejpam-4547	57	32	can	can	AUX
ejpam-4547	57	33	predict	predict	VERB
ejpam-4547	57	34	several110	several110	PROPN
ejpam-4547	57	35	occurrences	occurrence	NOUN
ejpam-4547	57	36	.	.	PUNCT
ejpam-4547	58	1	health	health	NOUN
ejpam-4547	58	2	is	be	AUX
ejpam-4547	58	3	now	now	ADV
ejpam-4547	58	4	one	one	NUM
ejpam-4547	58	5	of	of	ADP
ejpam-4547	58	6	the	the	DET
ejpam-4547	58	7	most	most	ADV
ejpam-4547	58	8	important	important	ADJ
ejpam-4547	58	9	fields	field	NOUN
ejpam-4547	58	10	of	of	ADP
ejpam-4547	58	11	study	study	NOUN
ejpam-4547	58	12	in	in	ADP
ejpam-4547	58	13	the	the	DET
ejpam-4547	58	14	world	world	NOUN
ejpam-4547	59	1	[	[	X
ejpam-4547	59	2	17].111	17].111	NUM
ejpam-4547	59	3	over	over	ADP
ejpam-4547	59	4	the	the	DET
ejpam-4547	59	5	last	last	ADJ
ejpam-4547	59	6	three	three	NUM
ejpam-4547	59	7	years	year	NOUN
ejpam-4547	59	8	,	,	PUNCT
ejpam-4547	59	9	the	the	DET
ejpam-4547	59	10	world	world	NOUN
ejpam-4547	59	11	has	have	AUX
ejpam-4547	59	12	been	be	AUX
ejpam-4547	59	13	threatened	threaten	VERB
ejpam-4547	59	14	by	by	ADP
ejpam-4547	59	15	a	a	DET
ejpam-4547	59	16	new	new	ADJ
ejpam-4547	59	17	fatal	fatal	ADJ
ejpam-4547	59	18	disease	disease	NOUN
ejpam-4547	59	19	known	know	VERB
ejpam-4547	59	20	as112	as112	PROPN
ejpam-4547	59	21	covid-19	covid-19	PROPN
ejpam-4547	59	22	,	,	PUNCT
ejpam-4547	59	23	caused	cause	VERB
ejpam-4547	59	24	mainly	mainly	ADV
ejpam-4547	59	25	by	by	ADP
ejpam-4547	59	26	the	the	DET
ejpam-4547	59	27	coronavirus	coronavirus	NOUN
ejpam-4547	59	28	.	.	PUNCT
ejpam-4547	60	1	this	this	DET
ejpam-4547	60	2	virus	virus	NOUN
ejpam-4547	60	3	was	be	AUX
ejpam-4547	60	4	discovered	discover	VERB
ejpam-4547	60	5	for	for	ADP
ejpam-4547	60	6	the	the	DET
ejpam-4547	60	7	first	first	ADJ
ejpam-4547	60	8	time113	time113	PROPN
ejpam-4547	60	9	in	in	ADP
ejpam-4547	60	10	wuhan	wuhan	PROPN
ejpam-4547	60	11	,	,	PUNCT
ejpam-4547	60	12	china	china	PROPN
ejpam-4547	60	13	,	,	PUNCT
ejpam-4547	60	14	and	and	CCONJ
ejpam-4547	60	15	rapidly	rapidly	ADV
ejpam-4547	60	16	spread	spread	VERB
ejpam-4547	60	17	to	to	ADP
ejpam-4547	60	18	the	the	DET
ejpam-4547	60	19	rest	rest	NOUN
ejpam-4547	60	20	of	of	ADP
ejpam-4547	60	21	the	the	DET
ejpam-4547	60	22	world	world	NOUN
ejpam-4547	60	23	.	.	PUNCT
ejpam-4547	61	1	numerous	numerous	ADJ
ejpam-4547	61	2	researchers	researcher	NOUN
ejpam-4547	61	3	have114	have114	PROPN
ejpam-4547	61	4	better	well	ADJ
ejpam-4547	61	5	developed	develop	VERB
ejpam-4547	61	6	mathematical	mathematical	ADJ
ejpam-4547	61	7	models	model	NOUN
ejpam-4547	61	8	to	to	PART
ejpam-4547	61	9	comprehend	comprehend	VERB
ejpam-4547	61	10	the	the	DET
ejpam-4547	61	11	coronavirus	coronavirus	NOUN
ejpam-4547	61	12	’s	’s	PART
ejpam-4547	61	13	dynamics	dynamic	NOUN
ejpam-4547	61	14	and115	and115	PROPN
ejpam-4547	61	15	intricacy	intricacy	ADJ
ejpam-4547	61	16	.	.	PUNCT
ejpam-4547	62	1	for	for	ADP
ejpam-4547	62	2	the	the	DET
ejpam-4547	62	3	last	last	ADJ
ejpam-4547	62	4	three	three	NUM
ejpam-4547	62	5	years	year	NOUN
ejpam-4547	62	6	,	,	PUNCT
ejpam-4547	62	7	the	the	DET
ejpam-4547	62	8	globe	globe	NOUN
ejpam-4547	62	9	has	have	AUX
ejpam-4547	62	10	been	be	AUX
ejpam-4547	62	11	threatened	threaten	VERB
ejpam-4547	62	12	by	by	ADP
ejpam-4547	62	13	a	a	DET
ejpam-4547	62	14	new	new	ADJ
ejpam-4547	62	15	lethal	lethal	NOUN
ejpam-4547	62	16	illness116	illness116	ADP
ejpam-4547	62	17	known	know	VERB
ejpam-4547	62	18	as	as	ADP
ejpam-4547	62	19	covid-19	covid-19	PROPN
ejpam-4547	62	20	,	,	PUNCT
ejpam-4547	62	21	which	which	PRON
ejpam-4547	62	22	is	be	AUX
ejpam-4547	62	23	mostly	mostly	ADV
ejpam-4547	62	24	caused	cause	VERB
ejpam-4547	62	25	by	by	ADP
ejpam-4547	62	26	the	the	DET
ejpam-4547	62	27	coronavirus	coronavirus	NOUN
ejpam-4547	62	28	.	.	PUNCT
ejpam-4547	63	1	this	this	DET
ejpam-4547	63	2	virus	virus	NOUN
ejpam-4547	63	3	was	be	AUX
ejpam-4547	63	4	first117	first117	PROPN
ejpam-4547	63	5	detected	detect	VERB
ejpam-4547	63	6	in	in	ADP
ejpam-4547	63	7	wuhan	wuhan	PROPN
ejpam-4547	63	8	,	,	PUNCT
ejpam-4547	63	9	china	china	PROPN
ejpam-4547	63	10	,	,	PUNCT
ejpam-4547	63	11	and	and	CCONJ
ejpam-4547	63	12	quickly	quickly	ADV
ejpam-4547	63	13	spread	spread	VERB
ejpam-4547	63	14	to	to	ADP
ejpam-4547	63	15	the	the	DET
ejpam-4547	63	16	rest	rest	NOUN
ejpam-4547	63	17	of	of	ADP
ejpam-4547	63	18	the	the	DET
ejpam-4547	63	19	globe	globe	NOUN
ejpam-4547	63	20	.	.	PUNCT
ejpam-4547	64	1	many	many	ADJ
ejpam-4547	64	2	researchers118	researchers118	PUNCT
ejpam-4547	64	3	have	have	AUX
ejpam-4547	64	4	produced	produce	VERB
ejpam-4547	64	5	mathematical	mathematical	ADJ
ejpam-4547	64	6	models	model	NOUN
ejpam-4547	64	7	to	to	PART
ejpam-4547	64	8	better	well	ADV
ejpam-4547	64	9	understand	understand	VERB
ejpam-4547	64	10	the	the	DET
ejpam-4547	64	11	dynamics	dynamic	NOUN
ejpam-4547	64	12	and	and	CCONJ
ejpam-4547	64	13	complexity	complexity	NOUN
ejpam-4547	64	14	of119	of119	PROPN
ejpam-4547	64	15	the	the	DET
ejpam-4547	64	16	coronavirus	coronavirus	NOUN
ejpam-4547	65	1	[	[	X
ejpam-4547	65	2	18	18	NUM
ejpam-4547	65	3	,	,	PUNCT
ejpam-4547	65	4	19	19	NUM
ejpam-4547	65	5	]	]	PUNCT
ejpam-4547	65	6	.	.	PUNCT
ejpam-4547	66	1	using	use	VERB
ejpam-4547	66	2	chaotic	chaotic	ADJ
ejpam-4547	66	3	attractors	attractor	NOUN
ejpam-4547	66	4	,	,	PUNCT
ejpam-4547	66	5	the	the	DET
ejpam-4547	66	6	conformable	conformable	ADJ
ejpam-4547	66	7	and	and	CCONJ
ejpam-4547	66	8	fractal	fractal	PROPN
ejpam-4547	66	9	derivatives120	derivatives120	PROPN
ejpam-4547	66	10	appear	appear	VERB
ejpam-4547	66	11	to	to	PART
ejpam-4547	66	12	better	well	ADV
ejpam-4547	66	13	describe	describe	VERB
ejpam-4547	66	14	anomalous	anomalous	ADJ
ejpam-4547	66	15	diffusion	diffusion	NOUN
ejpam-4547	66	16	and	and	CCONJ
ejpam-4547	66	17	even	even	ADV
ejpam-4547	66	18	the	the	DET
ejpam-4547	66	19	flow	flow	NOUN
ejpam-4547	66	20	of	of	ADP
ejpam-4547	66	21	water	water	NOUN
ejpam-4547	66	22	inside	inside	ADP
ejpam-4547	66	23	a	a	DET
ejpam-4547	66	24	fracture121	fracture121	PROPN
ejpam-4547	66	25	system	system	NOUN
ejpam-4547	66	26	than	than	ADP
ejpam-4547	66	27	the	the	DET
ejpam-4547	66	28	classical	classical	ADJ
ejpam-4547	66	29	derivative	derivative	NOUN
ejpam-4547	66	30	[	[	X
ejpam-4547	66	31	2].122	2].122	NUM
ejpam-4547	66	32	123	123	NUM
ejpam-4547	66	33	we	we	PRON
ejpam-4547	66	34	provide	provide	VERB
ejpam-4547	66	35	a	a	DET
ejpam-4547	66	36	quick	quick	ADJ
ejpam-4547	66	37	overview	overview	NOUN
ejpam-4547	66	38	of	of	ADP
ejpam-4547	66	39	the	the	DET
ejpam-4547	66	40	“	"	PUNCT
ejpam-4547	66	41	local	local	ADJ
ejpam-4547	66	42	formulations	formulation	NOUN
ejpam-4547	66	43	”	"	PUNCT
ejpam-4547	66	44	in	in	ADP
ejpam-4547	66	45	this	this	DET
ejpam-4547	66	46	subsection	subsection	NOUN
ejpam-4547	66	47	.	.	PUNCT
ejpam-4547	67	1	given	give	VERB
ejpam-4547	67	2	that124	that124	PROPN
ejpam-4547	67	3	they	they	PRON
ejpam-4547	67	4	are	be	AUX
ejpam-4547	67	5	,	,	PUNCT
ejpam-4547	67	6	at	at	ADP
ejpam-4547	67	7	most	most	ADJ
ejpam-4547	67	8	,	,	PUNCT
ejpam-4547	67	9	a	a	DET
ejpam-4547	67	10	multiplicative	multiplicative	ADJ
ejpam-4547	67	11	factor	factor	NOUN
ejpam-4547	67	12	of	of	ADP
ejpam-4547	67	13	the	the	DET
ejpam-4547	67	14	derivative	derivative	NOUN
ejpam-4547	67	15	of	of	ADP
ejpam-4547	67	16	order	order	NOUN
ejpam-4547	67	17	one	one	NUM
ejpam-4547	67	18	,	,	PUNCT
ejpam-4547	67	19	these	these	DET
ejpam-4547	67	20	formulations125	formulations125	PRON
ejpam-4547	67	21	should	should	AUX
ejpam-4547	67	22	n’t	not	PART
ejpam-4547	67	23	bear	bear	VERB
ejpam-4547	67	24	the	the	DET
ejpam-4547	67	25	moniker	moniker	NOUN
ejpam-4547	67	26	”	"	PUNCT
ejpam-4547	67	27	fractional	fractional	ADJ
ejpam-4547	67	28	,	,	PUNCT
ejpam-4547	67	29	”	"	PUNCT
ejpam-4547	67	30	according	accord	VERB
ejpam-4547	67	31	to	to	ADP
ejpam-4547	67	32	a	a	DET
ejpam-4547	67	33	recent	recent	ADJ
ejpam-4547	67	34	study	study	NOUN
ejpam-4547	67	35	[	[	X
ejpam-4547	67	36	32	32	NUM
ejpam-4547	67	37	]	]	PUNCT
ejpam-4547	67	38	.	.	PUNCT
ejpam-4547	68	1	despite	despite	SCONJ
ejpam-4547	68	2	this,126	this,126	NOUN
ejpam-4547	68	3	since	since	SCONJ
ejpam-4547	68	4	2010	2010	NUM
ejpam-4547	68	5	,	,	PUNCT
ejpam-4547	68	6	similar	similar	ADJ
ejpam-4547	68	7	plans	plan	NOUN
ejpam-4547	68	8	,	,	PUNCT
ejpam-4547	68	9	which	which	PRON
ejpam-4547	68	10	first	first	ADV
ejpam-4547	68	11	surfaced	surface	VERB
ejpam-4547	68	12	in	in	ADP
ejpam-4547	68	13	the	the	DET
ejpam-4547	68	14	late	late	ADJ
ejpam-4547	68	15	1990s	1990	NOUN
ejpam-4547	68	16	of	of	ADP
ejpam-4547	68	17	the	the	DET
ejpam-4547	68	18	20th	20th	ADJ
ejpam-4547	68	19	century	century	NOUN
ejpam-4547	68	20	,	,	PUNCT
ejpam-4547	68	21	have127	have127	PROPN
ejpam-4547	68	22	become	become	VERB
ejpam-4547	68	23	quite	quite	ADV
ejpam-4547	68	24	common	common	ADJ
ejpam-4547	68	25	.	.	PUNCT
ejpam-4547	69	1	chen	chen	PROPN
ejpam-4547	69	2	introduced	introduce	VERB
ejpam-4547	69	3	the	the	DET
ejpam-4547	69	4	local	local	ADJ
ejpam-4547	69	5	operator	operator	NOUN
ejpam-4547	69	6	in	in	ADP
ejpam-4547	69	7	2006	2006	NUM
ejpam-4547	69	8	in	in	ADP
ejpam-4547	69	9	order	order	NOUN
ejpam-4547	69	10	to	to	PART
ejpam-4547	69	11	describe128	describe128	VERB
ejpam-4547	69	12	the	the	DET
ejpam-4547	69	13	turbulence	turbulence	NOUN
ejpam-4547	69	14	[	[	X
ejpam-4547	69	15	11	11	NUM
ejpam-4547	69	16	]	]	PUNCT
ejpam-4547	69	17	and	and	CCONJ
ejpam-4547	69	18	anomalous	anomalous	ADJ
ejpam-4547	69	19	diffusion	diffusion	NOUN
ejpam-4547	69	20	[	[	X
ejpam-4547	69	21	10	10	NUM
ejpam-4547	69	22	]	]	X
ejpam-4547	69	23	phenomena.129	phenomena.129	PROPN
ejpam-4547	69	24	130	130	NUM
ejpam-4547	69	25	in	in	ADP
ejpam-4547	69	26	recent	recent	ADJ
ejpam-4547	69	27	decades	decade	NOUN
ejpam-4547	69	28	,	,	PUNCT
ejpam-4547	69	29	fractional	fractional	ADJ
ejpam-4547	69	30	differential	differential	ADJ
ejpam-4547	69	31	equations	equation	NOUN
ejpam-4547	69	32	(	(	PUNCT
ejpam-4547	69	33	fdes	fde	NOUN
ejpam-4547	69	34	)	)	PUNCT
ejpam-4547	69	35	have	have	AUX
ejpam-4547	69	36	become	become	VERB
ejpam-4547	69	37	an	an	DET
ejpam-4547	69	38	important131	important131	PROPN
ejpam-4547	69	39	tool	tool	NOUN
ejpam-4547	69	40	in	in	ADP
ejpam-4547	69	41	mathematical	mathematical	ADJ
ejpam-4547	69	42	modeling	modeling	NOUN
ejpam-4547	69	43	and	and	CCONJ
ejpam-4547	69	44	studying	study	VERB
ejpam-4547	69	45	the	the	DET
ejpam-4547	69	46	dynamics	dynamic	NOUN
ejpam-4547	69	47	of	of	ADP
ejpam-4547	69	48	many	many	ADJ
ejpam-4547	69	49	natural	natural	ADJ
ejpam-4547	69	50	processes,132	processes,132	NOUN
ejpam-4547	69	51	such	such	ADJ
ejpam-4547	69	52	as	as	ADP
ejpam-4547	69	53	viscoelastic	viscoelastic	ADJ
ejpam-4547	69	54	materials	material	NOUN
ejpam-4547	69	55	,	,	PUNCT
ejpam-4547	69	56	chaotic	chaotic	ADJ
ejpam-4547	69	57	systems	system	NOUN
ejpam-4547	69	58	,	,	PUNCT
ejpam-4547	69	59	optimal	optimal	ADJ
ejpam-4547	69	60	control	control	NOUN
ejpam-4547	69	61	problems	problem	NOUN
ejpam-4547	69	62	,	,	PUNCT
ejpam-4547	69	63	and	and	CCONJ
ejpam-4547	69	64	financial133	financial133	PROPN
ejpam-4547	69	65	markets	market	NOUN
ejpam-4547	69	66	.	.	PUNCT
ejpam-4547	70	1	to	to	PART
ejpam-4547	70	2	solve	solve	VERB
ejpam-4547	70	3	these	these	DET
ejpam-4547	70	4	equations	equation	NOUN
ejpam-4547	70	5	,	,	PUNCT
ejpam-4547	70	6	several	several	ADJ
ejpam-4547	70	7	numerical	numerical	ADJ
ejpam-4547	70	8	and	and	CCONJ
ejpam-4547	70	9	analytical	analytical	ADJ
ejpam-4547	70	10	methods	method	NOUN
ejpam-4547	70	11	are	be	AUX
ejpam-4547	70	12	used.134	used.134	ADJ
ejpam-4547	70	13	among	among	ADP
ejpam-4547	70	14	them	they	PRON
ejpam-4547	70	15	,	,	PUNCT
ejpam-4547	70	16	chatibi	chatibi	NOUN
ejpam-4547	70	17	et	et	PROPN
ejpam-4547	70	18	al	al	PROPN
ejpam-4547	70	19	.	.	PROPN
ejpam-4547	70	20	mention	mention	VERB
ejpam-4547	70	21	the	the	DET
ejpam-4547	70	22	continuous	continuous	ADJ
ejpam-4547	70	23	and	and	CCONJ
ejpam-4547	70	24	discrete	discrete	ADJ
ejpam-4547	70	25	symmetry	symmetry	NOUN
ejpam-4547	70	26	methods	method	NOUN
ejpam-4547	70	27	and135	and135	PROPN
ejpam-4547	70	28	efficient	efficient	ADJ
ejpam-4547	70	29	techniques	technique	NOUN
ejpam-4547	70	30	to	to	PART
ejpam-4547	70	31	furnish	furnish	VERB
ejpam-4547	70	32	various	various	ADJ
ejpam-4547	70	33	solutions	solution	NOUN
ejpam-4547	70	34	for	for	ADP
ejpam-4547	70	35	fdes	fde	NOUN
ejpam-4547	70	36	.	.	PUNCT
ejpam-4547	71	1	the	the	DET
ejpam-4547	71	2	essential	essential	ADJ
ejpam-4547	71	3	concept	concept	NOUN
ejpam-4547	71	4	behind136	behind136	PROPN
ejpam-4547	71	5	these	these	DET
ejpam-4547	71	6	approaches	approach	NOUN
ejpam-4547	71	7	is	be	AUX
ejpam-4547	71	8	the	the	DET
ejpam-4547	71	9	construction	construction	NOUN
ejpam-4547	71	10	of	of	ADP
ejpam-4547	71	11	transformations	transformation	NOUN
ejpam-4547	71	12	that	that	PRON
ejpam-4547	71	13	preserve	preserve	VERB
ejpam-4547	71	14	the	the	DET
ejpam-4547	71	15	form	form	NOUN
ejpam-4547	71	16	of	of	ADP
ejpam-4547	71	17	the137	the137	PROPN
ejpam-4547	71	18	examined	examine	VERB
ejpam-4547	71	19	fde	fde	NOUN
ejpam-4547	71	20	[	[	X
ejpam-4547	71	21	7	7	NUM
ejpam-4547	71	22	]	]	PUNCT
ejpam-4547	71	23	.	.	PUNCT
ejpam-4547	72	1	the	the	DET
ejpam-4547	72	2	lie	lie	NOUN
ejpam-4547	72	3	group	group	NOUN
ejpam-4547	72	4	approach	approach	NOUN
ejpam-4547	72	5	is	be	AUX
ejpam-4547	72	6	used	use	VERB
ejpam-4547	72	7	in	in	ADP
ejpam-4547	72	8	[	[	X
ejpam-4547	72	9	8	8	NUM
ejpam-4547	72	10	]	]	PUNCT
ejpam-4547	72	11	to	to	PART
ejpam-4547	72	12	derive	derive	VERB
ejpam-4547	72	13	the	the	DET
ejpam-4547	72	14	lie	lie	NOUN
ejpam-4547	72	15	symmetry138	symmetry138	PROPN
ejpam-4547	72	16	algebra	algebra	PROPN
ejpam-4547	72	17	accepted	accept	VERB
ejpam-4547	72	18	by	by	ADP
ejpam-4547	72	19	the	the	DET
ejpam-4547	72	20	time	time	NOUN
ejpam-4547	72	21	fractional	fractional	ADJ
ejpam-4547	72	22	black	black	ADJ
ejpam-4547	72	23	-	-	PUNCT
ejpam-4547	72	24	scholes	schole	NOUN
ejpam-4547	72	25	equation	equation	NOUN
ejpam-4547	72	26	.	.	PUNCT
ejpam-4547	73	1	the	the	DET
ejpam-4547	73	2	built	build	VERB
ejpam-4547	73	3	symmetry139	symmetry139	PROPN
ejpam-4547	73	4	generators	generator	NOUN
ejpam-4547	73	5	are	be	AUX
ejpam-4547	73	6	researched	research	VERB
ejpam-4547	73	7	in	in	ADP
ejpam-4547	73	8	order	order	NOUN
ejpam-4547	73	9	to	to	PART
ejpam-4547	73	10	build	build	VERB
ejpam-4547	73	11	a	a	DET
ejpam-4547	73	12	family	family	NOUN
ejpam-4547	73	13	of	of	ADP
ejpam-4547	73	14	precise	precise	ADJ
ejpam-4547	73	15	solutions	solution	NOUN
ejpam-4547	73	16	and	and	CCONJ
ejpam-4547	73	17	conservation140	conservation140	PROPN
ejpam-4547	73	18	laws	law	NOUN
ejpam-4547	73	19	for	for	ADP
ejpam-4547	73	20	the	the	DET
ejpam-4547	73	21	analyzed	analyze	VERB
ejpam-4547	73	22	problem	problem	NOUN
ejpam-4547	73	23	.	.	PUNCT
ejpam-4547	74	1	simultaneously	simultaneously	ADV
ejpam-4547	74	2	,	,	PUNCT
ejpam-4547	74	3	the	the	DET
ejpam-4547	74	4	family	family	NOUN
ejpam-4547	74	5	of	of	ADP
ejpam-4547	74	6	solutions	solution	NOUN
ejpam-4547	74	7	is	be	AUX
ejpam-4547	74	8	expanded	expand	VERB
ejpam-4547	74	9	by	by	ADP
ejpam-4547	74	10	using141	using141	PROPN
ejpam-4547	74	11	the	the	DET
ejpam-4547	74	12	invariant	invariant	ADJ
ejpam-4547	74	13	subspace	subspace	NOUN
ejpam-4547	74	14	approach	approach	NOUN
ejpam-4547	74	15	.	.	PUNCT
ejpam-4547	75	1	in	in	ADP
ejpam-4547	75	2	[	[	X
ejpam-4547	75	3	5	5	NUM
ejpam-4547	75	4	]	]	PUNCT
ejpam-4547	75	5	,	,	PUNCT
ejpam-4547	75	6	chatibi	chatibi	NOUN
ejpam-4547	75	7	et	et	PROPN
ejpam-4547	75	8	al	al	PROPN
ejpam-4547	75	9	.	.	PROPN
ejpam-4547	75	10	established	establish	VERB
ejpam-4547	75	11	the	the	DET
ejpam-4547	75	12	essential	essential	ADJ
ejpam-4547	75	13	optimality142	optimality142	PROPN
ejpam-4547	75	14	requirements	requirement	NOUN
ejpam-4547	75	15	for	for	ADP
ejpam-4547	75	16	variations	variation	NOUN
ejpam-4547	75	17	problems	problem	NOUN
ejpam-4547	75	18	of	of	ADP
ejpam-4547	75	19	the	the	DET
ejpam-4547	75	20	euler	euler	NOUN
ejpam-4547	75	21	-	-	PUNCT
ejpam-4547	75	22	lagrange	lagrange	NOUN
ejpam-4547	75	23	type	type	NOUN
ejpam-4547	75	24	,	,	PUNCT
ejpam-4547	75	25	where	where	SCONJ
ejpam-4547	75	26	the	the	DET
ejpam-4547	75	27	variational143	variational143	PROPN
ejpam-4547	75	28	functional	functional	NOUN
ejpam-4547	75	29	is	be	AUX
ejpam-4547	75	30	dependent	dependent	ADJ
ejpam-4547	75	31	on	on	ADP
ejpam-4547	75	32	the	the	DET
ejpam-4547	75	33	atangana	atangana	PROPN
ejpam-4547	75	34	-	-	PUNCT
ejpam-4547	75	35	baleanu	baleanu	PROPN
ejpam-4547	75	36	derivative	derivative	NOUN
ejpam-4547	75	37	.	.	PUNCT
ejpam-4547	76	1	examples	example	NOUN
ejpam-4547	76	2	are	be	AUX
ejpam-4547	76	3	provided	provide	VERB
ejpam-4547	76	4	to144	to144	PROPN
ejpam-4547	76	5	show	show	VERB
ejpam-4547	76	6	the	the	DET
ejpam-4547	76	7	outcomes	outcome	NOUN
ejpam-4547	76	8	that	that	PRON
ejpam-4547	76	9	were	be	AUX
ejpam-4547	76	10	produced	produce	VERB
ejpam-4547	76	11	.	.	PUNCT
ejpam-4547	77	1	they	they	PRON
ejpam-4547	77	2	provide	provide	VERB
ejpam-4547	77	3	a	a	DET
ejpam-4547	77	4	correct	correct	ADJ
ejpam-4547	77	5	prolongation	prolongation	NOUN
ejpam-4547	77	6	formula	formula	NOUN
ejpam-4547	77	7	for145	for145	NOUN
ejpam-4547	77	8	conformable	conformable	ADJ
ejpam-4547	77	9	derivatives	derivative	NOUN
ejpam-4547	77	10	of	of	ADP
ejpam-4547	77	11	the	the	DET
ejpam-4547	77	12	traditional	traditional	ADJ
ejpam-4547	77	13	prolongation	prolongation	NOUN
ejpam-4547	77	14	formula	formula	NOUN
ejpam-4547	77	15	of	of	ADP
ejpam-4547	77	16	point	point	NOUN
ejpam-4547	77	17	transformations.146	transformations.146	ADP
ejpam-4547	77	18	the	the	DET
ejpam-4547	77	19	construction	construction	NOUN
ejpam-4547	77	20	of	of	ADP
ejpam-4547	77	21	a	a	DET
ejpam-4547	77	22	symmetry	symmetry	NOUN
ejpam-4547	77	23	group	group	NOUN
ejpam-4547	77	24	accepted	accept	VERB
ejpam-4547	77	25	by	by	ADP
ejpam-4547	77	26	conformable	conformable	ADJ
ejpam-4547	77	27	ordinary	ordinary	ADJ
ejpam-4547	77	28	and	and	CCONJ
ejpam-4547	77	29	partial147	partial147	PROPN
ejpam-4547	77	30	differential	differential	ADJ
ejpam-4547	77	31	equations	equation	NOUN
ejpam-4547	77	32	uses	use	VERB
ejpam-4547	77	33	this	this	DET
ejpam-4547	77	34	approach	approach	NOUN
ejpam-4547	77	35	,	,	PUNCT
ejpam-4547	77	36	which	which	PRON
ejpam-4547	77	37	is	be	AUX
ejpam-4547	77	38	shown	show	VERB
ejpam-4547	77	39	.	.	PUNCT
ejpam-4547	78	1	they	they	PRON
ejpam-4547	78	2	also	also	ADV
ejpam-4547	78	3	provide	provide	VERB
ejpam-4547	78	4	an	an	DET
ejpam-4547	78	5	exact148	exact148	ADJ
ejpam-4547	78	6	solution	solution	NOUN
ejpam-4547	78	7	to	to	ADP
ejpam-4547	78	8	the	the	DET
ejpam-4547	78	9	conformable	conformable	ADJ
ejpam-4547	78	10	heat	heat	NOUN
ejpam-4547	78	11	equation	equation	NOUN
ejpam-4547	78	12	using	use	VERB
ejpam-4547	78	13	lie	lie	NOUN
ejpam-4547	78	14	symmetry	symmetry	NOUN
ejpam-4547	78	15	analysis	analysis	NOUN
ejpam-4547	78	16	[	[	X
ejpam-4547	78	17	6	6	NUM
ejpam-4547	78	18	]	]	PUNCT
ejpam-4547	78	19	.	.	PUNCT
ejpam-4547	79	1	the	the	DET
ejpam-4547	79	2	study149	study149	NOUN
ejpam-4547	79	3	[	[	X
ejpam-4547	79	4	9	9	NUM
ejpam-4547	79	5	]	]	PUNCT
ejpam-4547	79	6	builds	build	VERB
ejpam-4547	79	7	discrete	discrete	ADJ
ejpam-4547	79	8	symmetries	symmetry	NOUN
ejpam-4547	79	9	for	for	ADP
ejpam-4547	79	10	a	a	DET
ejpam-4547	79	11	variety	variety	NOUN
ejpam-4547	79	12	of	of	ADP
ejpam-4547	79	13	ordinary	ordinary	ADJ
ejpam-4547	79	14	,	,	PUNCT
ejpam-4547	79	15	partial	partial	ADJ
ejpam-4547	79	16	,	,	PUNCT
ejpam-4547	79	17	and	and	CCONJ
ejpam-4547	79	18	fractional	fractional	PROPN
ejpam-4547	79	19	differential150	differential150	PROPN
ejpam-4547	79	20	equations	equation	NOUN
ejpam-4547	79	21	using	use	VERB
ejpam-4547	79	22	the	the	DET
ejpam-4547	79	23	hydon	hydon	ADJ
ejpam-4547	79	24	technique	technique	NOUN
ejpam-4547	79	25	to	to	PART
ejpam-4547	79	26	find	find	VERB
ejpam-4547	79	27	discrete	discrete	ADJ
ejpam-4547	79	28	symmetries	symmetry	NOUN
ejpam-4547	79	29	for	for	ADP
ejpam-4547	79	30	a	a	DET
ejpam-4547	79	31	differential	differential	ADJ
ejpam-4547	79	32	equation.151	equation.151	NOUN
ejpam-4547	79	33	it	it	PRON
ejpam-4547	79	34	is	be	AUX
ejpam-4547	79	35	shown	show	VERB
ejpam-4547	79	36	how	how	SCONJ
ejpam-4547	79	37	to	to	PART
ejpam-4547	79	38	use	use	VERB
ejpam-4547	79	39	those	those	DET
ejpam-4547	79	40	discrete	discrete	ADJ
ejpam-4547	79	41	symmetries	symmetry	NOUN
ejpam-4547	79	42	to	to	PART
ejpam-4547	79	43	create	create	VERB
ejpam-4547	79	44	new	new	ADJ
ejpam-4547	79	45	solutions	solution	NOUN
ejpam-4547	79	46	out	out	ADP
ejpam-4547	79	47	of	of	ADP
ejpam-4547	79	48	existing152	existing152	PROPN
ejpam-4547	79	49	m.	m.	NOUN
ejpam-4547	79	50	noshad	noshad	PROPN
ejpam-4547	79	51	,	,	PUNCT
ejpam-4547	79	52	a.	a.	NOUN
ejpam-4547	79	53	pishkoo	pishkoo	NOUN
ejpam-4547	79	54	,	,	PUNCT
ejpam-4547	79	55	m.	m.	NOUN
ejpam-4547	79	56	darus	darus	NOUN
ejpam-4547	79	57	/	/	SYM
ejpam-4547	79	58	eur	eur	PROPN
ejpam-4547	79	59	.	.	PUNCT
ejpam-4547	80	1	j.	j.	PROPN
ejpam-4547	80	2	pure	pure	PROPN
ejpam-4547	80	3	appl	appl	PROPN
ejpam-4547	80	4	.	.	PROPN
ejpam-4547	80	5	math	math	PROPN
ejpam-4547	80	6	,	,	PUNCT
ejpam-4547	80	7	15	15	NUM
ejpam-4547	80	8	(	(	PUNCT
ejpam-4547	80	9	4	4	NUM
ejpam-4547	80	10	)	)	PUNCT
ejpam-4547	80	11	(	(	PUNCT
ejpam-4547	80	12	2022	2022	NUM
ejpam-4547	80	13	)	)	PUNCT
ejpam-4547	80	14	,	,	PUNCT
ejpam-4547	80	15	1738	1738	NUM
ejpam-4547	80	16	-	-	SYM
ejpam-4547	80	17	1749	1749	NUM
ejpam-4547	80	18	1742	1742	NUM
ejpam-4547	80	19	ones.153	ones.153	VERB
ejpam-4547	80	20	fractional	fractional	PROPN
ejpam-4547	80	21	taylor	taylor	PROPN
ejpam-4547	80	22	power	power	NOUN
ejpam-4547	80	23	series	series	PROPN
ejpam-4547	80	24	were	be	AUX
ejpam-4547	80	25	recently	recently	ADV
ejpam-4547	80	26	introduced	introduce	VERB
ejpam-4547	80	27	,	,	PUNCT
ejpam-4547	80	28	and	and	CCONJ
ejpam-4547	80	29	a	a	DET
ejpam-4547	80	30	nice	nice	ADJ
ejpam-4547	80	31	theory	theory	NOUN
ejpam-4547	80	32	was	be	AUX
ejpam-4547	80	33	estab-154	estab-154	VERB
ejpam-4547	80	34	lished	lishe	VERB
ejpam-4547	80	35	.	.	PUNCT
ejpam-4547	81	1	however	however	ADV
ejpam-4547	81	2	,	,	PUNCT
ejpam-4547	81	3	no	no	DET
ejpam-4547	81	4	work	work	NOUN
ejpam-4547	81	5	has	have	AUX
ejpam-4547	81	6	been	be	AUX
ejpam-4547	81	7	done	do	VERB
ejpam-4547	81	8	on	on	ADP
ejpam-4547	81	9	fractional	fractional	ADJ
ejpam-4547	81	10	fourier	fourier	NOUN
ejpam-4547	81	11	series	series	NOUN
ejpam-4547	81	12	,	,	PUNCT
ejpam-4547	81	13	while	while	SCONJ
ejpam-4547	81	14	some	some	DET
ejpam-4547	81	15	work155	work155	PROPN
ejpam-4547	81	16	has	have	AUX
ejpam-4547	81	17	been	be	AUX
ejpam-4547	81	18	done	do	VERB
ejpam-4547	81	19	on	on	ADP
ejpam-4547	81	20	fractional	fractional	ADJ
ejpam-4547	81	21	fourier	fourier	NOUN
ejpam-4547	81	22	transform	transform	NOUN
ejpam-4547	81	23	.	.	PUNCT
ejpam-4547	82	1	conformable	conformable	ADJ
ejpam-4547	82	2	fractional	fractional	ADJ
ejpam-4547	82	3	fourier	fourier	NOUN
ejpam-4547	82	4	series	series	NOUN
ejpam-4547	82	5	will156	will156	PROPN
ejpam-4547	82	6	be	be	AUX
ejpam-4547	82	7	introduced	introduce	VERB
ejpam-4547	82	8	in	in	ADP
ejpam-4547	82	9	this	this	DET
ejpam-4547	82	10	study	study	NOUN
ejpam-4547	82	11	.	.	PUNCT
ejpam-4547	83	1	for	for	ADP
ejpam-4547	83	2	instance	instance	NOUN
ejpam-4547	83	3	,	,	PUNCT
ejpam-4547	83	4	we	we	PRON
ejpam-4547	83	5	solve	solve	VERB
ejpam-4547	83	6	some	some	DET
ejpam-4547	83	7	fractional	fractional	ADJ
ejpam-4547	83	8	partial	partial	ADJ
ejpam-4547	83	9	differential157	differential157	NOUN
ejpam-4547	83	10	equations	equation	NOUN
ejpam-4547	83	11	using	use	VERB
ejpam-4547	83	12	fractional	fractional	ADJ
ejpam-4547	83	13	fourier	fourier	NOUN
ejpam-4547	83	14	series	series	NOUN
ejpam-4547	83	15	[	[	X
ejpam-4547	83	16	24	24	NUM
ejpam-4547	83	17	,	,	PUNCT
ejpam-4547	83	18	28].158	28].158	PROPN
ejpam-4547	83	19	the	the	DET
ejpam-4547	83	20	conformable	conformable	ADJ
ejpam-4547	83	21	fractional	fractional	ADJ
ejpam-4547	83	22	derivative	derivative	NOUN
ejpam-4547	83	23	,	,	PUNCT
ejpam-4547	83	24	which	which	PRON
ejpam-4547	83	25	is	be	AUX
ejpam-4547	83	26	based	base	VERB
ejpam-4547	83	27	on	on	ADP
ejpam-4547	83	28	the	the	DET
ejpam-4547	83	29	derivative	derivative	NOUN
ejpam-4547	83	30	’s	’s	NOUN
ejpam-4547	83	31	fundamental159	fundamental159	PROPN
ejpam-4547	83	32	limit	limit	NOUN
ejpam-4547	83	33	formulation	formulation	NOUN
ejpam-4547	83	34	in	in	ADP
ejpam-4547	83	35	[	[	X
ejpam-4547	83	36	21	21	NUM
ejpam-4547	83	37	]	]	PUNCT
ejpam-4547	83	38	,	,	PUNCT
ejpam-4547	83	39	is	be	AUX
ejpam-4547	83	40	a	a	DET
ejpam-4547	83	41	novel	novel	ADJ
ejpam-4547	83	42	fractional	fractional	ADJ
ejpam-4547	83	43	derivative	derivative	NOUN
ejpam-4547	83	44	that	that	PRON
ejpam-4547	83	45	has	have	AUX
ejpam-4547	83	46	just	just	ADV
ejpam-4547	83	47	been	be	AUX
ejpam-4547	83	48	presented.160	presented.160	ADJ
ejpam-4547	83	49	following	follow	VERB
ejpam-4547	83	50	that	that	SCONJ
ejpam-4547	83	51	,	,	PUNCT
ejpam-4547	83	52	[	[	X
ejpam-4547	83	53	1	1	X
ejpam-4547	83	54	]	]	PUNCT
ejpam-4547	83	55	creates	create	VERB
ejpam-4547	83	56	fractional	fractional	ADJ
ejpam-4547	83	57	versions	version	NOUN
ejpam-4547	83	58	of	of	ADP
ejpam-4547	83	59	chain	chain	NOUN
ejpam-4547	83	60	laws	law	NOUN
ejpam-4547	83	61	,	,	PUNCT
ejpam-4547	83	62	exponential	exponential	ADJ
ejpam-4547	83	63	functions	function	NOUN
ejpam-4547	83	64	,	,	PUNCT
ejpam-4547	83	65	gron-161	gron-161	ADJ
ejpam-4547	83	66	wall	wall	PROPN
ejpam-4547	83	67	’s	’s	PART
ejpam-4547	83	68	inequality	inequality	NOUN
ejpam-4547	83	69	,	,	PUNCT
ejpam-4547	83	70	integration	integration	NOUN
ejpam-4547	83	71	by	by	ADP
ejpam-4547	83	72	parts	part	NOUN
ejpam-4547	83	73	,	,	PUNCT
ejpam-4547	83	74	and	and	CCONJ
ejpam-4547	83	75	taylor	taylor	PROPN
ejpam-4547	83	76	power	power	PROPN
ejpam-4547	83	77	series	series	PROPN
ejpam-4547	83	78	expansions	expansion	NOUN
ejpam-4547	83	79	.	.	PUNCT
ejpam-4547	84	1	in	in	ADP
ejpam-4547	84	2	[	[	X
ejpam-4547	84	3	34	34	NUM
ejpam-4547	84	4	]	]	X
ejpam-4547	84	5	the162	the162	PROPN
ejpam-4547	84	6	conformable	conformable	ADJ
ejpam-4547	84	7	fractional	fractional	ADJ
ejpam-4547	84	8	differential	differential	NOUN
ejpam-4547	84	9	transform	transform	NOUN
ejpam-4547	84	10	technique	technique	NOUN
ejpam-4547	84	11	is	be	AUX
ejpam-4547	84	12	described	describe	VERB
ejpam-4547	84	13	,	,	PUNCT
ejpam-4547	84	14	and	and	CCONJ
ejpam-4547	84	15	it	it	PRON
ejpam-4547	84	16	is	be	AUX
ejpam-4547	84	17	shown	show	VERB
ejpam-4547	84	18	how163	how163	PROPN
ejpam-4547	84	19	it	it	PRON
ejpam-4547	84	20	may	may	AUX
ejpam-4547	84	21	be	be	AUX
ejpam-4547	84	22	used	use	VERB
ejpam-4547	84	23	to	to	PART
ejpam-4547	84	24	conformable	conformable	VERB
ejpam-4547	84	25	fractional	fractional	ADJ
ejpam-4547	84	26	differential	differential	NOUN
ejpam-4547	84	27	equations.164	equations.164	NOUN
ejpam-4547	84	28	a	a	DET
ejpam-4547	84	29	strong	strong	ADJ
ejpam-4547	84	30	and	and	CCONJ
ejpam-4547	84	31	efficient	efficient	ADJ
ejpam-4547	84	32	technique	technique	NOUN
ejpam-4547	84	33	for	for	ADP
ejpam-4547	84	34	modeling	model	VERB
ejpam-4547	84	35	nonlinear	nonlinear	ADJ
ejpam-4547	84	36	systems	system	NOUN
ejpam-4547	84	37	is	be	AUX
ejpam-4547	84	38	fractional	fractional	ADJ
ejpam-4547	84	39	calcu-165	calcu-165	NOUN
ejpam-4547	84	40	lus	lus	NOUN
ejpam-4547	84	41	.	.	PUNCT
ejpam-4547	85	1	in	in	ADP
ejpam-4547	85	2	order	order	NOUN
ejpam-4547	85	3	to	to	PART
ejpam-4547	85	4	explain	explain	VERB
ejpam-4547	85	5	the	the	DET
ejpam-4547	85	6	physical	physical	ADJ
ejpam-4547	85	7	universe	universe	NOUN
ejpam-4547	85	8	,	,	PUNCT
ejpam-4547	85	9	zhao	zhao	PROPN
ejpam-4547	85	10	developed	develop	VERB
ejpam-4547	85	11	a	a	DET
ejpam-4547	85	12	new	new	ADJ
ejpam-4547	85	13	class	class	NOUN
ejpam-4547	85	14	of	of	ADP
ejpam-4547	85	15	fractional166	fractional166	PROPN
ejpam-4547	85	16	derivatives	derivative	NOUN
ejpam-4547	85	17	called	call	VERB
ejpam-4547	85	18	general	general	ADJ
ejpam-4547	85	19	conformable	conformable	ADJ
ejpam-4547	85	20	fractional	fractional	ADJ
ejpam-4547	85	21	derivative	derivative	NOUN
ejpam-4547	85	22	(	(	PUNCT
ejpam-4547	85	23	gcfd	gcfd	PROPN
ejpam-4547	85	24	)	)	PUNCT
ejpam-4547	85	25	.	.	PUNCT
ejpam-4547	86	1	from	from	ADP
ejpam-4547	86	2	khalil	khalil	PROPN
ejpam-4547	86	3	’s	’s	PART
ejpam-4547	86	4	notion167	notion167	PROPN
ejpam-4547	86	5	of	of	ADP
ejpam-4547	86	6	conformable	conformable	ADJ
ejpam-4547	86	7	fractional	fractional	ADJ
ejpam-4547	86	8	derivative	derivative	NOUN
ejpam-4547	86	9	(	(	PUNCT
ejpam-4547	86	10	cfd	cfd	NOUN
ejpam-4547	86	11	)	)	PUNCT
ejpam-4547	86	12	,	,	PUNCT
ejpam-4547	86	13	the	the	DET
ejpam-4547	86	14	gcfd	gcfd	NOUN
ejpam-4547	86	15	is	be	AUX
ejpam-4547	86	16	generalized	generalize	VERB
ejpam-4547	86	17	.	.	PUNCT
ejpam-4547	87	1	we	we	PRON
ejpam-4547	87	2	draw	draw	VERB
ejpam-4547	87	3	attention168	attention168	PUNCT
ejpam-4547	87	4	to	to	ADP
ejpam-4547	87	5	the	the	DET
ejpam-4547	87	6	fact	fact	NOUN
ejpam-4547	87	7	that	that	SCONJ
ejpam-4547	87	8	the	the	DET
ejpam-4547	87	9	word	word	NOUN
ejpam-4547	87	10	”	"	PUNCT
ejpam-4547	87	11	t1	t1	NOUN
ejpam-4547	87	12	”	"	PUNCT
ejpam-4547	87	13	used	use	VERB
ejpam-4547	87	14	in	in	ADP
ejpam-4547	87	15	the	the	DET
ejpam-4547	87	16	definition	definition	NOUN
ejpam-4547	87	17	of	of	ADP
ejpam-4547	87	18	cfd	cfd	NOUN
ejpam-4547	87	19	is	be	AUX
ejpam-4547	87	20	only	only	ADV
ejpam-4547	87	21	a	a	DET
ejpam-4547	87	22	type	type	NOUN
ejpam-4547	87	23	of	of	ADP
ejpam-4547	87	24	”	"	PUNCT
ejpam-4547	87	25	fractional169	fractional169	PROPN
ejpam-4547	87	26	conformable	conformable	ADJ
ejpam-4547	87	27	function	function	NOUN
ejpam-4547	87	28	”	"	PUNCT
ejpam-4547	87	29	and	and	CCONJ
ejpam-4547	87	30	is	be	AUX
ejpam-4547	87	31	not	not	PART
ejpam-4547	87	32	necessary	necessary	ADJ
ejpam-4547	87	33	.	.	PUNCT
ejpam-4547	88	1	we	we	PRON
ejpam-4547	88	2	also	also	ADV
ejpam-4547	88	3	provide	provide	VERB
ejpam-4547	88	4	physical	physical	ADJ
ejpam-4547	88	5	and	and	CCONJ
ejpam-4547	88	6	geometrical170	geometrical170	PROPN
ejpam-4547	88	7	interpretations	interpretation	NOUN
ejpam-4547	88	8	of	of	ADP
ejpam-4547	88	9	gcfd	gcfd	NOUN
ejpam-4547	88	10	,	,	PUNCT
ejpam-4547	88	11	indicating	indicate	VERB
ejpam-4547	88	12	possible	possible	ADJ
ejpam-4547	88	13	engineering	engineering	NOUN
ejpam-4547	88	14	and	and	CCONJ
ejpam-4547	88	15	physics	physics	NOUN
ejpam-4547	88	16	applications	application	NOUN
ejpam-4547	88	17	.	.	PUNCT
ejpam-4547	89	1	since171	since171	PROPN
ejpam-4547	89	2	it	it	PRON
ejpam-4547	89	3	is	be	AUX
ejpam-4547	89	4	simple	simple	ADJ
ejpam-4547	89	5	to	to	PART
ejpam-4547	89	6	show	show	VERB
ejpam-4547	89	7	that	that	SCONJ
ejpam-4547	89	8	cfd	cfd	NOUN
ejpam-4547	89	9	is	be	AUX
ejpam-4547	89	10	a	a	DET
ejpam-4547	89	11	particular	particular	ADJ
ejpam-4547	89	12	instance	instance	NOUN
ejpam-4547	89	13	of	of	ADP
ejpam-4547	89	14	gcfd	gcfd	PROPN
ejpam-4547	89	15	,	,	PUNCT
ejpam-4547	89	16	zhao	zhao	PROPN
ejpam-4547	89	17	first	first	ADJ
ejpam-4547	89	18	discusses172	discusses172	PROPN
ejpam-4547	89	19	its	its	PRON
ejpam-4547	89	20	physical	physical	ADJ
ejpam-4547	89	21	and	and	CCONJ
ejpam-4547	89	22	geometrical	geometrical	ADJ
ejpam-4547	89	23	meanings	meaning	NOUN
ejpam-4547	89	24	[	[	X
ejpam-4547	89	25	35	35	NUM
ejpam-4547	89	26	]	]	PUNCT
ejpam-4547	89	27	.	.	PUNCT
ejpam-4547	90	1	recently	recently	ADV
ejpam-4547	90	2	,	,	PUNCT
ejpam-4547	90	3	the	the	DET
ejpam-4547	90	4	term	term	NOUN
ejpam-4547	90	5	conformable	conformable	VERB
ejpam-4547	90	6	fractional173	fractional173	PROPN
ejpam-4547	90	7	derivative	derivative	NOUN
ejpam-4547	90	8	—	—	PUNCT
ejpam-4547	90	9	a	a	DET
ejpam-4547	90	10	novel	novel	NOUN
ejpam-4547	90	11	,	,	PUNCT
ejpam-4547	90	12	straightforward	straightforward	ADJ
ejpam-4547	90	13	,	,	PUNCT
ejpam-4547	90	14	well	well	ADV
ejpam-4547	90	15	-	-	PUNCT
ejpam-4547	90	16	behaved	behave	VERB
ejpam-4547	90	17	formulation	formulation	NOUN
ejpam-4547	90	18	of	of	ADP
ejpam-4547	90	19	the	the	DET
ejpam-4547	90	20	fractional	fractional	ADJ
ejpam-4547	90	21	derivative174	derivative174	PROPN
ejpam-4547	90	22	—	—	PUNCT
ejpam-4547	90	23	was	be	AUX
ejpam-4547	90	24	presented	present	VERB
ejpam-4547	90	25	by	by	ADP
ejpam-4547	90	26	the	the	DET
ejpam-4547	90	27	authors	author	NOUN
ejpam-4547	90	28	khalil	khalil	PROPN
ejpam-4547	90	29	et	et	PROPN
ejpam-4547	90	30	al	al	PROPN
ejpam-4547	90	31	.	.	PUNCT
ejpam-4547	91	1	[	[	X
ejpam-4547	91	2	21].175	21].175	NUM
ejpam-4547	91	3	definition	definition	NOUN
ejpam-4547	91	4	1	1	NUM
ejpam-4547	91	5	.	.	PUNCT
ejpam-4547	91	6	given	give	VERB
ejpam-4547	91	7	a	a	DET
ejpam-4547	91	8	function	function	NOUN
ejpam-4547	91	9	f	f	NOUN
ejpam-4547	91	10	:	:	PUNCT
ejpam-4547	92	1	[	[	X
ejpam-4547	92	2	0,∞	0,∞	X
ejpam-4547	92	3	]	]	X
ejpam-4547	92	4	→	→	PUNCT
ejpam-4547	92	5	r.	r.	PROPN
ejpam-4547	92	6	then	then	ADV
ejpam-4547	92	7	,	,	PUNCT
ejpam-4547	92	8	the	the	DET
ejpam-4547	92	9	“	"	PUNCT
ejpam-4547	92	10	conformable	conformable	ADJ
ejpam-4547	92	11	fractional176	fractional176	PROPN
ejpam-4547	92	12	derivative	derivative	NOUN
ejpam-4547	92	13	”	"	PUNCT
ejpam-4547	92	14	of	of	ADP
ejpam-4547	92	15	f	f	PROPN
ejpam-4547	92	16	of	of	ADP
ejpam-4547	92	17	order	order	NOUN
ejpam-4547	92	18	α	α	NOUN
ejpam-4547	92	19	is	be	AUX
ejpam-4547	92	20	defined	define	VERB
ejpam-4547	92	21	by177	by177	PROPN
ejpam-4547	92	22	f	f	PROPN
ejpam-4547	92	23	(	(	PUNCT
ejpam-4547	92	24	α)(t	α)(t	PROPN
ejpam-4547	92	25	)	)	PUNCT
ejpam-4547	93	1	=	=	SYM
ejpam-4547	93	2	lim	lim	PROPN
ejpam-4547	93	3	ε→0	ε→0	VERB
ejpam-4547	93	4	f(t+	f(t+	ADJ
ejpam-4547	93	5	εt1−α)−	εt1−α)−	NOUN
ejpam-4547	93	6	f(t	f(t	NOUN
ejpam-4547	93	7	)	)	PUNCT
ejpam-4547	93	8	ε	ε	PROPN
ejpam-4547	93	9	(	(	PUNCT
ejpam-4547	93	10	1	1	NUM
ejpam-4547	93	11	)	)	PUNCT
ejpam-4547	93	12	for	for	ADP
ejpam-4547	93	13	all	all	DET
ejpam-4547	93	14	t	t	PROPN
ejpam-4547	93	15	>	>	X
ejpam-4547	93	16	0	0	PROPN
ejpam-4547	93	17	,	,	PUNCT
ejpam-4547	93	18	α	α	PROPN
ejpam-4547	93	19	∈	∈	PROPN
ejpam-4547	93	20	(	(	PUNCT
ejpam-4547	93	21	0	0	NUM
ejpam-4547	93	22	,	,	PUNCT
ejpam-4547	93	23	1	1	NUM
ejpam-4547	93	24	)	)	PUNCT
ejpam-4547	93	25	.	.	PUNCT
ejpam-4547	94	1	if	if	SCONJ
ejpam-4547	94	2	f	f	PROPN
ejpam-4547	94	3	is	be	AUX
ejpam-4547	94	4	α	α	NOUN
ejpam-4547	94	5	-	-	NOUN
ejpam-4547	94	6	differentiable	differentiable	ADJ
ejpam-4547	94	7	in	in	ADP
ejpam-4547	94	8	some	some	DET
ejpam-4547	94	9	(	(	PUNCT
ejpam-4547	94	10	0	0	NUM
ejpam-4547	94	11	,	,	PUNCT
ejpam-4547	94	12	a	a	NOUN
ejpam-4547	94	13	)	)	PUNCT
ejpam-4547	94	14	,	,	PUNCT
ejpam-4547	94	15	a	a	DET
ejpam-4547	94	16	>	>	X
ejpam-4547	94	17	0	0	NUM
ejpam-4547	94	18	,	,	PUNCT
ejpam-4547	94	19	and	and	CCONJ
ejpam-4547	94	20	limt→0	limt→0	PROPN
ejpam-4547	94	21	+	+	NOUN
ejpam-4547	94	22	f	f	X
ejpam-4547	94	23	(	(	PUNCT
ejpam-4547	94	24	α)(t)178	α)(t)178	ADV
ejpam-4547	94	25	exists	exist	VERB
ejpam-4547	94	26	then	then	ADV
ejpam-4547	94	27	define179	define179	PROPN
ejpam-4547	94	28	f	f	PROPN
ejpam-4547	94	29	(	(	PUNCT
ejpam-4547	94	30	α)(0	α)(0	NUM
ejpam-4547	94	31	)	)	PUNCT
ejpam-4547	94	32	=	=	SYM
ejpam-4547	94	33	limt→0	limt→0	PROPN
ejpam-4547	94	34	+	+	X
ejpam-4547	94	35	f	f	X
ejpam-4547	94	36	(	(	PUNCT
ejpam-4547	94	37	α)(t	α)(t	PROPN
ejpam-4547	94	38	)	)	PUNCT
ejpam-4547	94	39	.	.	PUNCT
ejpam-4547	95	1	it	it	PRON
ejpam-4547	95	2	can	can	AUX
ejpam-4547	95	3	be	be	AUX
ejpam-4547	95	4	easily	easily	ADV
ejpam-4547	95	5	shown	show	VERB
ejpam-4547	95	6	that	that	SCONJ
ejpam-4547	95	7	f	f	PROPN
ejpam-4547	95	8	(	(	PUNCT
ejpam-4547	95	9	α)(t	α)(t	PROPN
ejpam-4547	95	10	)	)	PUNCT
ejpam-4547	95	11	satisfies	satisfie	NOUN
ejpam-4547	95	12	all	all	DET
ejpam-4547	95	13	the	the	DET
ejpam-4547	95	14	properties180	properties180	PROPN
ejpam-4547	95	15	in	in	ADP
ejpam-4547	95	16	the	the	DET
ejpam-4547	95	17	following	following	NOUN
ejpam-4547	95	18	theorem.181	theorem.181	PROPN
ejpam-4547	95	19	theorem	theorem	VERB
ejpam-4547	95	20	1	1	X
ejpam-4547	95	21	.	.	PUNCT
ejpam-4547	96	1	let	let	VERB
ejpam-4547	96	2	α	α	PRON
ejpam-4547	96	3	∈	∈	PROPN
ejpam-4547	96	4	(	(	PUNCT
ejpam-4547	96	5	0	0	NUM
ejpam-4547	96	6	,	,	PUNCT
ejpam-4547	96	7	1	1	NUM
ejpam-4547	96	8	]	]	PUNCT
ejpam-4547	96	9	and	and	CCONJ
ejpam-4547	96	10	g	g	NOUN
ejpam-4547	96	11	,	,	PUNCT
ejpam-4547	96	12	h	h	NOUN
ejpam-4547	96	13	be	be	VERB
ejpam-4547	96	14	α	α	NOUN
ejpam-4547	96	15	-	-	NOUN
ejpam-4547	96	16	differentiable	differentiable	ADJ
ejpam-4547	96	17	at	at	ADP
ejpam-4547	96	18	a	a	DET
ejpam-4547	96	19	point	point	NOUN
ejpam-4547	96	20	t	t	NOUN
ejpam-4547	96	21	>	>	X
ejpam-4547	97	1	0	0	NUM
ejpam-4547	97	2	then.182	then.182	NOUN
ejpam-4547	97	3	(	(	PUNCT
ejpam-4547	97	4	i	i	NOUN
ejpam-4547	97	5	)	)	PUNCT
ejpam-4547	97	6	f	f	PROPN
ejpam-4547	97	7	(	(	PUNCT
ejpam-4547	97	8	α)(ag	α)(ag	NOUN
ejpam-4547	97	9	+	+	CCONJ
ejpam-4547	97	10	bh	bh	NOUN
ejpam-4547	97	11	)	)	PUNCT
ejpam-4547	97	12	=	=	SYM
ejpam-4547	97	13	af	af	X
ejpam-4547	97	14	(	(	PUNCT
ejpam-4547	97	15	α)g	α)g	NOUN
ejpam-4547	97	16	+	+	CCONJ
ejpam-4547	97	17	bf	bf	NOUN
ejpam-4547	97	18	(	(	PUNCT
ejpam-4547	97	19	α)h	α)h	NOUN
ejpam-4547	97	20	,	,	PUNCT
ejpam-4547	97	21	for	for	ADP
ejpam-4547	97	22	all	all	DET
ejpam-4547	97	23	a	a	PRON
ejpam-4547	97	24	,	,	PUNCT
ejpam-4547	97	25	b	b	X
ejpam-4547	97	26	∈	∈	PROPN
ejpam-4547	97	27	r.183	r.183	X
ejpam-4547	97	28	(	(	PUNCT
ejpam-4547	97	29	ii	ii	PROPN
ejpam-4547	97	30	)	)	PUNCT
ejpam-4547	97	31	f	f	PROPN
ejpam-4547	97	32	(	(	PUNCT
ejpam-4547	97	33	α)(tp	α)(tp	NUM
ejpam-4547	97	34	)	)	PUNCT
ejpam-4547	97	35	=	=	SYM
ejpam-4547	97	36	ptp−α	ptp−α	NOUN
ejpam-4547	97	37	for	for	ADP
ejpam-4547	97	38	all	all	DET
ejpam-4547	97	39	p	p	NOUN
ejpam-4547	97	40	∈	∈	NOUN
ejpam-4547	97	41	r.184	r.184	ADP
ejpam-4547	97	42	(	(	PUNCT
ejpam-4547	97	43	iii	iii	NOUN
ejpam-4547	97	44	)	)	PUNCT
ejpam-4547	97	45	f	f	NOUN
ejpam-4547	97	46	(	(	PUNCT
ejpam-4547	97	47	α)(λ	α)(λ	NOUN
ejpam-4547	97	48	)	)	PUNCT
ejpam-4547	97	49	=	=	SYM
ejpam-4547	97	50	0	0	NUM
ejpam-4547	97	51	,	,	PUNCT
ejpam-4547	97	52	for	for	ADP
ejpam-4547	97	53	all	all	DET
ejpam-4547	97	54	constant	constant	ADJ
ejpam-4547	97	55	functions	function	NOUN
ejpam-4547	97	56	f(t	f(t	NOUN
ejpam-4547	97	57	)	)	PUNCT
ejpam-4547	97	58	=	=	SYM
ejpam-4547	97	59	λ.185	λ.185	X
ejpam-4547	97	60	(	(	PUNCT
ejpam-4547	97	61	iv	iv	X
ejpam-4547	97	62	)	)	PUNCT
ejpam-4547	97	63	f	f	PROPN
ejpam-4547	97	64	(	(	PUNCT
ejpam-4547	97	65	α)(gh	α)(gh	NUM
ejpam-4547	97	66	)	)	PUNCT
ejpam-4547	97	67	=	=	SYM
ejpam-4547	97	68	gf	gf	X
ejpam-4547	97	69	(	(	PUNCT
ejpam-4547	97	70	α)(h	α)(h	NUM
ejpam-4547	97	71	)	)	PUNCT
ejpam-4547	97	72	+	+	CCONJ
ejpam-4547	97	73	hf	hf	PART
ejpam-4547	97	74	(	(	PUNCT
ejpam-4547	97	75	α)(g).186	α)(g).186	NUM
ejpam-4547	97	76	m.	m.	NOUN
ejpam-4547	97	77	noshad	noshad	PROPN
ejpam-4547	97	78	,	,	PUNCT
ejpam-4547	97	79	a.	a.	NOUN
ejpam-4547	97	80	pishkoo	pishkoo	NOUN
ejpam-4547	97	81	,	,	PUNCT
ejpam-4547	97	82	m.	m.	NOUN
ejpam-4547	97	83	darus	darus	NOUN
ejpam-4547	97	84	/	/	SYM
ejpam-4547	97	85	eur	eur	PROPN
ejpam-4547	97	86	.	.	PUNCT
ejpam-4547	98	1	j.	j.	PROPN
ejpam-4547	98	2	pure	pure	PROPN
ejpam-4547	98	3	appl	appl	PROPN
ejpam-4547	98	4	.	.	PROPN
ejpam-4547	98	5	math	math	PROPN
ejpam-4547	98	6	,	,	PUNCT
ejpam-4547	98	7	15	15	NUM
ejpam-4547	98	8	(	(	PUNCT
ejpam-4547	98	9	4	4	NUM
ejpam-4547	98	10	)	)	PUNCT
ejpam-4547	98	11	(	(	PUNCT
ejpam-4547	98	12	2022	2022	NUM
ejpam-4547	98	13	)	)	PUNCT
ejpam-4547	98	14	,	,	PUNCT
ejpam-4547	98	15	1738	1738	NUM
ejpam-4547	98	16	-	-	SYM
ejpam-4547	98	17	1749	1749	NUM
ejpam-4547	98	18	1743	1743	NUM
ejpam-4547	98	19	(	(	PUNCT
ejpam-4547	98	20	v	v	NOUN
ejpam-4547	98	21	)	)	PUNCT
ejpam-4547	98	22	f	f	NOUN
ejpam-4547	98	23	(	(	PUNCT
ejpam-4547	98	24	α	α	NOUN
ejpam-4547	98	25	)	)	PUNCT
ejpam-4547	98	26	(	(	PUNCT
ejpam-4547	98	27	gh	gh	PROPN
ejpam-4547	98	28	)	)	PUNCT
ejpam-4547	99	1	=	=	SYM
ejpam-4547	99	2	gf	gf	X
ejpam-4547	99	3	(	(	PUNCT
ejpam-4547	99	4	α)(h)−hf	α)(h)−hf	X
ejpam-4547	99	5	(	(	PUNCT
ejpam-4547	99	6	α)(g	α)(g	NUM
ejpam-4547	99	7	)	)	PUNCT
ejpam-4547	99	8	h2	h2	NOUN
ejpam-4547	99	9	.187	.187	NUM
ejpam-4547	99	10	(	(	PUNCT
ejpam-4547	99	11	vi	vi	NOUN
ejpam-4547	99	12	)	)	PUNCT
ejpam-4547	99	13	if	if	SCONJ
ejpam-4547	99	14	,	,	PUNCT
ejpam-4547	99	15	in	in	ADP
ejpam-4547	99	16	addition	addition	NOUN
ejpam-4547	99	17	,	,	PUNCT
ejpam-4547	99	18	f	f	PROPN
ejpam-4547	99	19	is	be	AUX
ejpam-4547	99	20	differentiable	differentiable	ADJ
ejpam-4547	99	21	,	,	PUNCT
ejpam-4547	99	22	then	then	ADV
ejpam-4547	99	23	f	f	PROPN
ejpam-4547	99	24	(	(	PUNCT
ejpam-4547	99	25	α)(g(t	α)(g(t	NUM
ejpam-4547	99	26	)	)	PUNCT
ejpam-4547	99	27	)	)	PUNCT
ejpam-4547	100	1	=	=	PUNCT
ejpam-4547	100	2	t1−α	t1−α	PROPN
ejpam-4547	100	3	dg	dg	ADV
ejpam-4547	100	4	dt	dt	X
ejpam-4547	100	5	(	(	PUNCT
ejpam-4547	100	6	t).188	t).188	VERB
ejpam-4547	100	7	the	the	DET
ejpam-4547	100	8	conformable	conformable	ADJ
ejpam-4547	100	9	fractional	fractional	ADJ
ejpam-4547	100	10	derivative	derivative	NOUN
ejpam-4547	100	11	of	of	ADP
ejpam-4547	100	12	some	some	DET
ejpam-4547	100	13	elementary	elementary	ADJ
ejpam-4547	100	14	functions	function	NOUN
ejpam-4547	100	15	is	be	AUX
ejpam-4547	100	16	as	as	ADP
ejpam-4547	100	17	follows.189	follows.189	PROPN
ejpam-4547	100	18	•	•	NUM
ejpam-4547	100	19	f	f	PROPN
ejpam-4547	100	20	(	(	PUNCT
ejpam-4547	100	21	α)(tp	α)(tp	NUM
ejpam-4547	100	22	)	)	PUNCT
ejpam-4547	100	23	=	=	SYM
ejpam-4547	100	24	ptp−α	ptp−α	NOUN
ejpam-4547	100	25	for	for	ADP
ejpam-4547	100	26	all	all	DET
ejpam-4547	100	27	p	p	NOUN
ejpam-4547	100	28	∈	∈	NOUN
ejpam-4547	100	29	r.190	r.190	ADJ
ejpam-4547	100	30	•	•	NUM
ejpam-4547	100	31	f	f	PROPN
ejpam-4547	100	32	(	(	PUNCT
ejpam-4547	100	33	α)(1	α)(1	NUM
ejpam-4547	100	34	)	)	PUNCT
ejpam-4547	100	35	=	=	NOUN
ejpam-4547	101	1	0.191	0.191	NUM
ejpam-4547	101	2	•	•	NOUN
ejpam-4547	101	3	f	f	X
ejpam-4547	101	4	(	(	PUNCT
ejpam-4547	101	5	α)(ecx	α)(ecx	NOUN
ejpam-4547	101	6	)	)	PUNCT
ejpam-4547	101	7	=	=	SYM
ejpam-4547	101	8	cx1−αecx	cx1−αecx	NOUN
ejpam-4547	101	9	,	,	PUNCT
ejpam-4547	101	10	c	c	PROPN
ejpam-4547	101	11	∈	∈	PROPN
ejpam-4547	101	12	r.192	r.192	VERB
ejpam-4547	101	13	•	•	NOUN
ejpam-4547	101	14	f	f	PROPN
ejpam-4547	101	15	(	(	PUNCT
ejpam-4547	101	16	α)(sin	α)(sin	PROPN
ejpam-4547	101	17	bx	bx	PROPN
ejpam-4547	101	18	)	)	PUNCT
ejpam-4547	101	19	=	=	PUNCT
ejpam-4547	101	20	bx1−α	bx1−α	PROPN
ejpam-4547	101	21	cos	cos	PROPN
ejpam-4547	101	22	bx	bx	PROPN
ejpam-4547	101	23	,	,	PUNCT
ejpam-4547	101	24	b	b	PROPN
ejpam-4547	101	25	∈	∈	PROPN
ejpam-4547	101	26	r.193	r.193	VERB
ejpam-4547	101	27	•	•	NUM
ejpam-4547	101	28	f	f	PROPN
ejpam-4547	101	29	(	(	PUNCT
ejpam-4547	101	30	α)(cos	α)(cos	NOUN
ejpam-4547	101	31	bx	bx	PROPN
ejpam-4547	101	32	)	)	PUNCT
ejpam-4547	101	33	=	=	SYM
ejpam-4547	101	34	−bx1−α	−bx1−α	PUNCT
ejpam-4547	101	35	sin	sin	PROPN
ejpam-4547	101	36	bx	bx	PROPN
ejpam-4547	101	37	,	,	PUNCT
ejpam-4547	101	38	b	b	PROPN
ejpam-4547	101	39	∈	∈	PROPN
ejpam-4547	101	40	r.194	r.194	X
ejpam-4547	101	41	•	•	NUM
ejpam-4547	101	42	f	f	PROPN
ejpam-4547	101	43	(	(	PUNCT
ejpam-4547	101	44	α	α	NOUN
ejpam-4547	101	45	)	)	PUNCT
ejpam-4547	101	46	(	(	PUNCT
ejpam-4547	101	47	1α	1α	NUM
ejpam-4547	101	48	t	t	PROPN
ejpam-4547	101	49	α)=1.195	α)=1.195	NOUN
ejpam-4547	101	50	one	one	PRON
ejpam-4547	101	51	should	should	AUX
ejpam-4547	101	52	notice	notice	VERB
ejpam-4547	101	53	that	that	SCONJ
ejpam-4547	101	54	a	a	DET
ejpam-4547	101	55	function	function	NOUN
ejpam-4547	101	56	could	could	AUX
ejpam-4547	101	57	be	be	AUX
ejpam-4547	101	58	α	α	NOUN
ejpam-4547	101	59	-	-	NOUN
ejpam-4547	101	60	differentiable	differentiable	ADJ
ejpam-4547	101	61	at	at	ADP
ejpam-4547	101	62	a	a	DET
ejpam-4547	101	63	point	point	NOUN
ejpam-4547	101	64	but	but	CCONJ
ejpam-4547	101	65	not	not	PART
ejpam-4547	101	66	differentiable.196	differentiable.196	ADJ
ejpam-4547	101	67	example	example	NOUN
ejpam-4547	102	1	1	1	NUM
ejpam-4547	102	2	.	.	PUNCT
ejpam-4547	103	1	let	let	VERB
ejpam-4547	103	2	g(t	g(t	PROPN
ejpam-4547	103	3	)	)	PUNCT
ejpam-4547	104	1	=	=	SYM
ejpam-4547	105	1	2	2	NUM
ejpam-4547	105	2	√	√	NUM
ejpam-4547	105	3	t197	t197	NUM
ejpam-4547	105	4	f	f	NOUN
ejpam-4547	105	5	(	(	PUNCT
ejpam-4547	105	6	1	1	NUM
ejpam-4547	105	7	2	2	NUM
ejpam-4547	105	8	)	)	PUNCT
ejpam-4547	105	9	(	(	PUNCT
ejpam-4547	105	10	g)(0	g)(0	X
ejpam-4547	105	11	)	)	PUNCT
ejpam-4547	105	12	=	=	SYM
ejpam-4547	105	13	limt→0	limt→0	PROPN
ejpam-4547	105	14	+	+	NOUN
ejpam-4547	105	15	f	f	X
ejpam-4547	105	16	(	(	PUNCT
ejpam-4547	105	17	1	1	NUM
ejpam-4547	105	18	2	2	NUM
ejpam-4547	105	19	)	)	PUNCT
ejpam-4547	105	20	(	(	PUNCT
ejpam-4547	105	21	g)(t	g)(t	ADJ
ejpam-4547	105	22	)	)	PUNCT
ejpam-4547	105	23	=	=	SYM
ejpam-4547	105	24	1	1	NUM
ejpam-4547	105	25	,	,	PUNCT
ejpam-4547	105	26	where	where	SCONJ
ejpam-4547	105	27	f	f	PROPN
ejpam-4547	105	28	(	(	PUNCT
ejpam-4547	105	29	1	1	NUM
ejpam-4547	105	30	2	2	NUM
ejpam-4547	105	31	)	)	PUNCT
ejpam-4547	105	32	(	(	PUNCT
ejpam-4547	105	33	g)(t	g)(t	ADJ
ejpam-4547	105	34	)	)	PUNCT
ejpam-4547	105	35	=	=	SYM
ejpam-4547	105	36	1	1	NUM
ejpam-4547	105	37	for	for	ADP
ejpam-4547	105	38	t	t	PROPN
ejpam-4547	105	39	>	>	X
ejpam-4547	105	40	0	0	PROPN
ejpam-4547	105	41	.	.	PUNCT
ejpam-4547	105	42	however	however	ADV
ejpam-4547	105	43	,	,	PUNCT
ejpam-4547	105	44	f	f	PROPN
ejpam-4547	105	45	(	(	PUNCT
ejpam-4547	105	46	1)(g)(0)198	1)(g)(0)198	PROPN
ejpam-4547	105	47	does	do	AUX
ejpam-4547	105	48	not	not	PART
ejpam-4547	105	49	exist.199	exist.199	VERB
ejpam-4547	105	50	using	use	VERB
ejpam-4547	105	51	conformable	conformable	ADJ
ejpam-4547	105	52	fractional	fractional	ADJ
ejpam-4547	105	53	derivative	derivative	NOUN
ejpam-4547	105	54	,	,	PUNCT
ejpam-4547	105	55	we	we	PRON
ejpam-4547	105	56	will	will	AUX
ejpam-4547	105	57	now	now	ADV
ejpam-4547	105	58	solve	solve	VERB
ejpam-4547	105	59	some	some	DET
ejpam-4547	105	60	fractional	fractional	NOUN
ejpam-4547	105	61	differential200	differential200	PROPN
ejpam-4547	105	62	equations	equation	NOUN
ejpam-4547	105	63	numerically	numerically	ADV
ejpam-4547	105	64	through	through	ADP
ejpam-4547	105	65	easy	easy	ADJ
ejpam-4547	105	66	java	java	NOUN
ejpam-4547	105	67	simulations	simulation	NOUN
ejpam-4547	105	68	(	(	PUNCT
ejpam-4547	105	69	ejss	ejss	NOUN
ejpam-4547	105	70	)	)	PUNCT
ejpam-4547	105	71	software.201	software.201	NOUN
ejpam-4547	105	72	3	3	NUM
ejpam-4547	105	73	.	.	PUNCT
ejpam-4547	105	74	solving	solve	VERB
ejpam-4547	105	75	conformable	conformable	ADJ
ejpam-4547	105	76	fractional	fractional	ADJ
ejpam-4547	105	77	differential	differential	ADJ
ejpam-4547	105	78	equations	equation	NOUN
ejpam-4547	105	79	by	by	ADP
ejpam-4547	105	80	using	use	VERB
ejpam-4547	105	81	ejs202	ejs202	PROPN
ejpam-4547	105	82	easy	easy	PROPN
ejpam-4547	105	83	java	java	PROPN
ejpam-4547	105	84	simulation	simulation	PROPN
ejpam-4547	105	85	software	software	PROPN
ejpam-4547	105	86	can	can	AUX
ejpam-4547	105	87	be	be	AUX
ejpam-4547	105	88	used	use	VERB
ejpam-4547	105	89	to	to	PART
ejpam-4547	105	90	visualize	visualize	VERB
ejpam-4547	105	91	mathematical	mathematical	ADJ
ejpam-4547	105	92	physics	physics	NOUN
ejpam-4547	105	93	problems	problem	NOUN
ejpam-4547	105	94	.	.	PUNCT
ejpam-4547	106	1	to	to	PART
ejpam-4547	106	2	utilize	utilize	VERB
ejpam-4547	106	3	this	this	DET
ejpam-4547	106	4	program	program	NOUN
ejpam-4547	106	5	to	to	PART
ejpam-4547	106	6	solve	solve	VERB
ejpam-4547	106	7	the	the	DET
ejpam-4547	106	8	conformable	conformable	ADJ
ejpam-4547	106	9	fractional	fractional	ADJ
ejpam-4547	106	10	differential	differential	NOUN
ejpam-4547	106	11	equation	equation	NOUN
ejpam-4547	106	12	,	,	PUNCT
ejpam-4547	106	13	we	we	PRON
ejpam-4547	106	14	first	first	ADV
ejpam-4547	106	15	use	use	VERB
ejpam-4547	106	16	the	the	DET
ejpam-4547	106	17	definition	definition	NOUN
ejpam-4547	106	18	of	of	ADP
ejpam-4547	106	19	the	the	DET
ejpam-4547	106	20	conformable	conformable	ADJ
ejpam-4547	106	21	fractional	fractional	ADJ
ejpam-4547	106	22	derivative	derivative	NOUN
ejpam-4547	106	23	.	.	PUNCT
ejpam-4547	107	1	to	to	PART
ejpam-4547	107	2	begin	begin	VERB
ejpam-4547	107	3	,	,	PUNCT
ejpam-4547	107	4	we	we	PRON
ejpam-4547	107	5	draw	draw	VERB
ejpam-4547	107	6	both	both	CCONJ
ejpam-4547	107	7	the	the	DET
ejpam-4547	107	8	analytical	analytical	ADJ
ejpam-4547	107	9	and	and	CCONJ
ejpam-4547	107	10	numerical	numerical	ADJ
ejpam-4547	107	11	solutions	solution	NOUN
ejpam-4547	107	12	of	of	ADP
ejpam-4547	107	13	the	the	DET
ejpam-4547	107	14	equation	equation	NOUN
ejpam-4547	107	15	at	at	ADP
ejpam-4547	107	16	the	the	DET
ejpam-4547	107	17	same	same	ADJ
ejpam-4547	107	18	time	time	NOUN
ejpam-4547	107	19	to	to	PART
ejpam-4547	107	20	see	see	VERB
ejpam-4547	107	21	if	if	SCONJ
ejpam-4547	107	22	they	they	PRON
ejpam-4547	107	23	coincide	coincide	VERB
ejpam-4547	107	24	(	(	PUNCT
ejpam-4547	107	25	fig	fig	NOUN
ejpam-4547	107	26	.	.	PUNCT
ejpam-4547	108	1	1	1	NUM
ejpam-4547	108	2	,	,	PUNCT
ejpam-4547	108	3	and	and	CCONJ
ejpam-4547	108	4	fig	fig	NOUN
ejpam-4547	108	5	.	.	NOUN
ejpam-4547	108	6	2	2	NUM
ejpam-4547	109	1	which	which	PRON
ejpam-4547	109	2	is	be	AUX
ejpam-4547	109	3	in	in	ADP
ejpam-4547	109	4	fact	fact	NOUN
ejpam-4547	109	5	the	the	DET
ejpam-4547	109	6	data	datum	NOUN
ejpam-4547	109	7	table	table	NOUN
ejpam-4547	109	8	)	)	PUNCT
ejpam-4547	109	9	.	.	PUNCT
ejpam-4547	110	1	we	we	PRON
ejpam-4547	110	2	first	first	ADV
ejpam-4547	110	3	solve	solve	VERB
ejpam-4547	110	4	the	the	DET
ejpam-4547	110	5	conformable	conformable	ADJ
ejpam-4547	110	6	fractional	fractional	ADJ
ejpam-4547	110	7	differential	differential	ADJ
ejpam-4547	110	8	equations	equation	NOUN
ejpam-4547	110	9	according	accord	VERB
ejpam-4547	110	10	to	to	ADP
ejpam-4547	110	11	the	the	DET
ejpam-4547	110	12	definition	definition	NOUN
ejpam-4547	110	13	.	.	PUNCT
ejpam-4547	111	1	y	y	NOUN
ejpam-4547	111	2	(	(	PUNCT
ejpam-4547	111	3	1	1	NUM
ejpam-4547	111	4	2	2	NUM
ejpam-4547	111	5	)	)	PUNCT
ejpam-4547	112	1	+	+	CCONJ
ejpam-4547	112	2	y	y	NOUN
ejpam-4547	112	3	=	=	SYM
ejpam-4547	112	4	t2	t2	PROPN
ejpam-4547	112	5	+	+	CCONJ
ejpam-4547	112	6	2	2	NUM
ejpam-4547	112	7	t	t	NOUN
ejpam-4547	112	8	3	3	NUM
ejpam-4547	112	9	2	2	NUM
ejpam-4547	112	10	,	,	PUNCT
ejpam-4547	112	11	y(0	y(0	PROPN
ejpam-4547	112	12	+	+	PROPN
ejpam-4547	112	13	)	)	PUNCT
ejpam-4547	112	14	=	=	SYM
ejpam-4547	112	15	1	1	X
ejpam-4547	112	16	.	.	PUNCT
ejpam-4547	113	1	(	(	PUNCT
ejpam-4547	113	2	2	2	X
ejpam-4547	113	3	)	)	PUNCT
ejpam-4547	113	4	using	use	VERB
ejpam-4547	113	5	f	f	PROPN
ejpam-4547	113	6	(	(	PUNCT
ejpam-4547	113	7	α)(t	α)(t	PROPN
ejpam-4547	113	8	)	)	PUNCT
ejpam-4547	113	9	=	=	SYM
ejpam-4547	113	10	t1−α	t1−α	PROPN
ejpam-4547	113	11	df	df	NOUN
ejpam-4547	113	12	dt	dt	NOUN
ejpam-4547	113	13	,	,	PUNCT
ejpam-4547	113	14	and	and	CCONJ
ejpam-4547	113	15	ejs	ejs	PROPN
ejpam-4547	113	16	software	software	NOUN
ejpam-4547	113	17	we	we	PRON
ejpam-4547	113	18	solve	solve	VERB
ejpam-4547	113	19	this	this	DET
ejpam-4547	113	20	equation	equation	NOUN
ejpam-4547	113	21	numerically	numerically	ADV
ejpam-4547	113	22	through203	through203	VERB
ejpam-4547	113	23	following	follow	VERB
ejpam-4547	113	24	steps	step	NOUN
ejpam-4547	113	25	(	(	PUNCT
ejpam-4547	113	26	see	see	VERB
ejpam-4547	113	27	fig	fig	NOUN
ejpam-4547	113	28	.	.	PUNCT
ejpam-4547	114	1	1	1	NUM
ejpam-4547	114	2	)	)	PUNCT
ejpam-4547	114	3	,	,	PUNCT
ejpam-4547	114	4	the	the	DET
ejpam-4547	114	5	index	index	NOUN
ejpam-4547	114	6	“	"	PUNCT
ejpam-4547	114	7	h	h	NOUN
ejpam-4547	114	8	”	"	PUNCT
ejpam-4547	114	9	refers	refer	VERB
ejpam-4547	114	10	to	to	ADP
ejpam-4547	114	11	the	the	DET
ejpam-4547	114	12	solution	solution	NOUN
ejpam-4547	114	13	of	of	ADP
ejpam-4547	114	14	the	the	DET
ejpam-4547	114	15	homogeneous204	homogeneous204	PROPN
ejpam-4547	114	16	equation:205	equation:205	SYM
ejpam-4547	114	17	•	•	NOUN
ejpam-4547	114	18	y	y	PROPN
ejpam-4547	114	19	(	(	PUNCT
ejpam-4547	114	20	1	1	NUM
ejpam-4547	114	21	2	2	NUM
ejpam-4547	114	22	)	)	PUNCT
ejpam-4547	114	23	1h	1h	NOUN
ejpam-4547	114	24	+	+	CCONJ
ejpam-4547	114	25	y1h	y1h	NUM
ejpam-4547	114	26	=	=	SYM
ejpam-4547	114	27	0	0	NUM
ejpam-4547	114	28	,	,	PUNCT
ejpam-4547	114	29	y	y	PROPN
ejpam-4547	114	30	(	(	PUNCT
ejpam-4547	114	31	1	1	NUM
ejpam-4547	114	32	2	2	NUM
ejpam-4547	114	33	)	)	PUNCT
ejpam-4547	114	34	3	3	NUM
ejpam-4547	115	1	+	+	CCONJ
ejpam-4547	115	2	y3	y3	NOUN
ejpam-4547	115	3	=	=	SYM
ejpam-4547	115	4	t2	t2	NOUN
ejpam-4547	115	5	+	+	CCONJ
ejpam-4547	115	6	2	2	NUM
ejpam-4547	115	7	t	t	NOUN
ejpam-4547	115	8	3	3	NUM
ejpam-4547	115	9	2	2	NUM
ejpam-4547	115	10	.206	.206	NUM
ejpam-4547	115	11	•	•	NUM
ejpam-4547	115	12	y	y	PROPN
ejpam-4547	115	13	(	(	PUNCT
ejpam-4547	115	14	1	1	NUM
ejpam-4547	115	15	)	)	PUNCT
ejpam-4547	115	16	2h	2h	NUM
ejpam-4547	115	17	+	+	NUM
ejpam-4547	115	18	y2h	y2h	NOUN
ejpam-4547	115	19	=	=	SYM
ejpam-4547	115	20	0	0	NUM
ejpam-4547	115	21	,	,	PUNCT
ejpam-4547	115	22	y	y	PROPN
ejpam-4547	115	23	(	(	PUNCT
ejpam-4547	115	24	1	1	NUM
ejpam-4547	115	25	)	)	PUNCT
ejpam-4547	115	26	4	4	NUM
ejpam-4547	115	27	+	+	CCONJ
ejpam-4547	115	28	y4	y4	NOUN
ejpam-4547	115	29	=	=	SYM
ejpam-4547	115	30	t2	t2	PROPN
ejpam-4547	115	31	+	+	CCONJ
ejpam-4547	115	32	2	2	NUM
ejpam-4547	115	33	t	t	NOUN
ejpam-4547	115	34	3	3	NUM
ejpam-4547	115	35	2	2	NUM
ejpam-4547	115	36	.207	.207	NUM
ejpam-4547	115	37	comparing	compare	VERB
ejpam-4547	115	38	the	the	DET
ejpam-4547	115	39	solutions	solution	NOUN
ejpam-4547	115	40	of	of	ADP
ejpam-4547	115	41	an	an	DET
ejpam-4547	115	42	ordinary	ordinary	ADJ
ejpam-4547	115	43	differential	differential	ADJ
ejpam-4547	115	44	equation	equation	NOUN
ejpam-4547	115	45	with	with	ADP
ejpam-4547	115	46	its	its	PRON
ejpam-4547	115	47	fractional	fractional	ADJ
ejpam-4547	115	48	counterpart208	counterpart208	PROPN
ejpam-4547	115	49	shows	show	VERB
ejpam-4547	115	50	that	that	SCONJ
ejpam-4547	115	51	from	from	ADP
ejpam-4547	115	52	one	one	NUM
ejpam-4547	115	53	point	point	NOUN
ejpam-4547	115	54	onwards	onwards	ADV
ejpam-4547	115	55	,	,	PUNCT
ejpam-4547	115	56	the	the	DET
ejpam-4547	115	57	fractional	fractional	ADJ
ejpam-4547	115	58	solution	solution	NOUN
ejpam-4547	115	59	exceeds	exceed	VERB
ejpam-4547	115	60	the	the	DET
ejpam-4547	115	61	ordinary	ordinary	ADJ
ejpam-4547	115	62	solution209	solution209	PROPN
ejpam-4547	115	63	(	(	PUNCT
ejpam-4547	115	64	see	see	VERB
ejpam-4547	115	65	both	both	DET
ejpam-4547	115	66	fig.1).210	fig.1).210	PROPN
ejpam-4547	115	67	m.	m.	NOUN
ejpam-4547	115	68	noshad	noshad	VERB
ejpam-4547	115	69	,	,	PUNCT
ejpam-4547	115	70	a.	a.	NOUN
ejpam-4547	115	71	pishkoo	pishkoo	NOUN
ejpam-4547	115	72	,	,	PUNCT
ejpam-4547	115	73	m.	m.	NOUN
ejpam-4547	115	74	darus	darus	NOUN
ejpam-4547	115	75	/	/	SYM
ejpam-4547	115	76	eur	eur	PROPN
ejpam-4547	115	77	.	.	PUNCT
ejpam-4547	116	1	j.	j.	PROPN
ejpam-4547	116	2	pure	pure	PROPN
ejpam-4547	116	3	appl	appl	PROPN
ejpam-4547	116	4	.	.	PROPN
ejpam-4547	116	5	math	math	PROPN
ejpam-4547	116	6	,	,	PUNCT
ejpam-4547	116	7	15	15	NUM
ejpam-4547	116	8	(	(	PUNCT
ejpam-4547	116	9	4	4	NUM
ejpam-4547	116	10	)	)	PUNCT
ejpam-4547	116	11	(	(	PUNCT
ejpam-4547	116	12	2022	2022	NUM
ejpam-4547	116	13	)	)	PUNCT
ejpam-4547	116	14	,	,	PUNCT
ejpam-4547	116	15	1738	1738	NUM
ejpam-4547	116	16	-	-	SYM
ejpam-4547	116	17	1749	1749	NUM
ejpam-4547	116	18	1744	1744	NUM
ejpam-4547	116	19	figure	figure	NOUN
ejpam-4547	116	20	1	1	NUM
ejpam-4547	116	21	:	:	PUNCT
ejpam-4547	116	22	two	two	NUM
ejpam-4547	116	23	homogeneous	homogeneous	ADJ
ejpam-4547	116	24	solutions	solution	NOUN
ejpam-4547	116	25	and	and	CCONJ
ejpam-4547	116	26	two	two	NUM
ejpam-4547	116	27	general	general	ADJ
ejpam-4547	116	28	solutions	solution	NOUN
ejpam-4547	116	29	of	of	ADP
ejpam-4547	116	30	ordinary	ordinary	ADJ
ejpam-4547	116	31	and	and	CCONJ
ejpam-4547	116	32	fractional	fractional	ADJ
ejpam-4547	116	33	differential	differential	ADJ
ejpam-4547	116	34	equations	equation	NOUN
ejpam-4547	116	35	.	.	PUNCT
ejpam-4547	117	1	4	4	X
ejpam-4547	117	2	.	.	X
ejpam-4547	117	3	conformable	conformable	ADJ
ejpam-4547	117	4	sub	sub	ADJ
ejpam-4547	117	5	-	-	ADJ
ejpam-4547	117	6	diffusion	diffusion	NOUN
ejpam-4547	117	7	equation	equation	NOUN
ejpam-4547	117	8	in	in	ADP
ejpam-4547	117	9	ejs211	ejs211	PROPN
ejpam-4547	117	10	the	the	DET
ejpam-4547	117	11	standard	standard	ADJ
ejpam-4547	117	12	diffusion	diffusion	NOUN
ejpam-4547	117	13	equation	equation	NOUN
ejpam-4547	117	14	established	establish	VERB
ejpam-4547	117	15	by	by	ADP
ejpam-4547	117	16	fick	fick	PROPN
ejpam-4547	117	17	is	be	AUX
ejpam-4547	117	18	written	write	VERB
ejpam-4547	117	19	as	as	ADP
ejpam-4547	117	20	∂c(x	∂c(x	PROPN
ejpam-4547	117	21	,	,	PUNCT
ejpam-4547	117	22	t	t	PROPN
ejpam-4547	117	23	)	)	PUNCT
ejpam-4547	118	1	∂t	∂t	PROPN
ejpam-4547	118	2	=	=	SYM
ejpam-4547	118	3	d	d	PROPN
ejpam-4547	118	4	∂2c(x	∂2c(x	NOUN
ejpam-4547	118	5	,	,	PUNCT
ejpam-4547	118	6	t	t	PROPN
ejpam-4547	118	7	)	)	PUNCT
ejpam-4547	118	8	∂x2	∂x2	NOUN
ejpam-4547	118	9	,	,	PUNCT
ejpam-4547	118	10	(	(	PUNCT
ejpam-4547	118	11	3	3	X
ejpam-4547	118	12	)	)	PUNCT
ejpam-4547	118	13	where	where	SCONJ
ejpam-4547	118	14	c(x	c(x	NOUN
ejpam-4547	118	15	,	,	PUNCT
ejpam-4547	118	16	t	t	PROPN
ejpam-4547	118	17	)	)	PUNCT
ejpam-4547	118	18	is	be	AUX
ejpam-4547	118	19	the	the	DET
ejpam-4547	118	20	concentration	concentration	NOUN
ejpam-4547	118	21	function	function	NOUN
ejpam-4547	118	22	,	,	PUNCT
ejpam-4547	118	23	and	and	CCONJ
ejpam-4547	118	24	units	unit	NOUN
ejpam-4547	118	25	are	be	AUX
ejpam-4547	118	26	mass	mass	PROPN
ejpam-4547	118	27	percentage(%	percentage(%	PROPN
ejpam-4547	118	28	)	)	PUNCT
ejpam-4547	118	29	,	,	PUNCT
ejpam-4547	118	30	kg	kg	PROPN
ejpam-4547	118	31	/	/	SYM
ejpam-4547	118	32	m3	m3	PROPN
ejpam-4547	118	33	,	,	PUNCT
ejpam-4547	118	34	or	or	CCONJ
ejpam-4547	118	35	mol	mol	PROPN
ejpam-4547	118	36	/	/	SYM
ejpam-4547	118	37	l.	l.	PROPN
ejpam-4547	118	38	d	d	PROPN
ejpam-4547	118	39	stands	stand	VERB
ejpam-4547	118	40	for	for	ADP
ejpam-4547	118	41	diffusivity	diffusivity	NOUN
ejpam-4547	118	42	or	or	CCONJ
ejpam-4547	118	43	diffusion	diffusion	NOUN
ejpam-4547	118	44	coefficient	coefficient	NOUN
ejpam-4547	118	45	(	(	PUNCT
ejpam-4547	118	46	m2	m2	PROPN
ejpam-4547	118	47	/	/	SYM
ejpam-4547	118	48	s	s	PROPN
ejpam-4547	118	49	)	)	PUNCT
ejpam-4547	118	50	.	.	PUNCT
ejpam-4547	119	1	this	this	DET
ejpam-4547	119	2	model	model	NOUN
ejpam-4547	119	3	is	be	AUX
ejpam-4547	119	4	ineffective	ineffective	ADJ
ejpam-4547	119	5	in	in	ADP
ejpam-4547	119	6	characterizing	characterize	VERB
ejpam-4547	119	7	the	the	DET
ejpam-4547	119	8	more	more	ADV
ejpam-4547	119	9	intricate	intricate	ADJ
ejpam-4547	119	10	time	time	NOUN
ejpam-4547	119	11	-	-	PUNCT
ejpam-4547	119	12	dependent	dependent	ADJ
ejpam-4547	119	13	diffusion	diffusion	NOUN
ejpam-4547	119	14	processes	process	NOUN
ejpam-4547	119	15	,	,	PUNCT
ejpam-4547	119	16	such	such	ADJ
ejpam-4547	119	17	as	as	ADP
ejpam-4547	119	18	sub	sub	NOUN
ejpam-4547	119	19	-	-	NOUN
ejpam-4547	119	20	diffusion	diffusion	NOUN
ejpam-4547	119	21	.	.	PUNCT
ejpam-4547	120	1	zhou	zhou	PROPN
ejpam-4547	120	2	et	et	PROPN
ejpam-4547	120	3	al	al	PROPN
ejpam-4547	120	4	.	.	PUNCT
ejpam-4547	121	1	[	[	X
ejpam-4547	121	2	36	36	NUM
ejpam-4547	121	3	]	]	PUNCT
ejpam-4547	121	4	suggest	suggest	VERB
ejpam-4547	121	5	an	an	DET
ejpam-4547	121	6	effective	effective	ADJ
ejpam-4547	121	7	model	model	NOUN
ejpam-4547	121	8	illustrating	illustrate	VERB
ejpam-4547	121	9	the	the	DET
ejpam-4547	121	10	time	time	NOUN
ejpam-4547	121	11	-	-	PUNCT
ejpam-4547	121	12	dependent	dependent	ADJ
ejpam-4547	121	13	sub	sub	NOUN
ejpam-4547	121	14	-	-	NOUN
ejpam-4547	121	15	diffusion	diffusion	NOUN
ejpam-4547	121	16	to	to	PART
ejpam-4547	121	17	get	get	VERB
ejpam-4547	121	18	beyond	beyond	ADP
ejpam-4547	121	19	this	this	DET
ejpam-4547	121	20	restriction	restriction	NOUN
ejpam-4547	121	21	.	.	PUNCT
ejpam-4547	122	1	the	the	DET
ejpam-4547	122	2	conformable	conformable	ADJ
ejpam-4547	122	3	derivative	derivative	ADJ
ejpam-4547	122	4	model	model	NOUN
ejpam-4547	122	5	for	for	ADP
ejpam-4547	122	6	sub	sub	NOUN
ejpam-4547	122	7	-	-	NOUN
ejpam-4547	122	8	diffusion	diffusion	NOUN
ejpam-4547	122	9	is	be	AUX
ejpam-4547	122	10	derived	derive	VERB
ejpam-4547	122	11	by	by	ADP
ejpam-4547	122	12	considering	consider	VERB
ejpam-4547	122	13	one	one	NUM
ejpam-4547	122	14	-	-	PUNCT
ejpam-4547	122	15	dimensional	dimensional	ADJ
ejpam-4547	122	16	diffusion	diffusion	NOUN
ejpam-4547	122	17	.	.	PUNCT
ejpam-4547	123	1	∂αc(x	∂αc(x	PROPN
ejpam-4547	123	2	,	,	PUNCT
ejpam-4547	123	3	t	t	PROPN
ejpam-4547	123	4	)	)	PUNCT
ejpam-4547	123	5	∂tα	∂tα	PROPN
ejpam-4547	123	6	=	=	PUNCT
ejpam-4547	123	7	dα	dα	NOUN
ejpam-4547	123	8	∂2c(x	∂2c(x	NOUN
ejpam-4547	123	9	,	,	PUNCT
ejpam-4547	123	10	t	t	PROPN
ejpam-4547	123	11	)	)	PUNCT
ejpam-4547	123	12	∂x2	∂x2	NOUN
ejpam-4547	123	13	,	,	PUNCT
ejpam-4547	123	14	(	(	PUNCT
ejpam-4547	123	15	4	4	X
ejpam-4547	123	16	)	)	PUNCT
ejpam-4547	123	17	where	where	SCONJ
ejpam-4547	123	18	0	0	NUM
ejpam-4547	123	19	<	<	X
ejpam-4547	123	20	α	α	X
ejpam-4547	123	21	≤	≤	NUM
ejpam-4547	123	22	1	1	NUM
ejpam-4547	123	23	,	,	PUNCT
ejpam-4547	123	24	and	and	CCONJ
ejpam-4547	123	25	dα	dα	PRON
ejpam-4547	123	26	is	be	AUX
ejpam-4547	123	27	the	the	DET
ejpam-4547	123	28	generalized	generalized	ADJ
ejpam-4547	123	29	diffusion	diffusion	NOUN
ejpam-4547	123	30	coefficinet	coefficinet	NOUN
ejpam-4547	123	31	(	(	PUNCT
ejpam-4547	123	32	m2	m2	PROPN
ejpam-4547	123	33	/	/	SYM
ejpam-4547	123	34	sα	sα	PROPN
ejpam-4547	123	35	)	)	PUNCT
ejpam-4547	123	36	.	.	PUNCT
ejpam-4547	124	1	we	we	PRON
ejpam-4547	124	2	may	may	AUX
ejpam-4547	124	3	attempt	attempt	VERB
ejpam-4547	124	4	to	to	PART
ejpam-4547	124	5	obtain	obtain	VERB
ejpam-4547	124	6	an	an	DET
ejpam-4547	124	7	analytical	analytical	ADJ
ejpam-4547	124	8	solution	solution	NOUN
ejpam-4547	124	9	to	to	ADP
ejpam-4547	124	10	the	the	DET
ejpam-4547	124	11	given	give	VERB
ejpam-4547	124	12	conformable	conformable	ADJ
ejpam-4547	124	13	diffusion	diffusion	NOUN
ejpam-4547	124	14	equation	equation	NOUN
ejpam-4547	124	15	using	use	VERB
ejpam-4547	124	16	the	the	DET
ejpam-4547	124	17	gaussian	gaussian	ADJ
ejpam-4547	124	18	kernel	kernel	NOUN
ejpam-4547	124	19	if	if	SCONJ
ejpam-4547	124	20	we	we	PRON
ejpam-4547	124	21	assume	assume	VERB
ejpam-4547	124	22	that	that	SCONJ
ejpam-4547	124	23	the	the	DET
ejpam-4547	124	24	diffusion	diffusion	NOUN
ejpam-4547	124	25	process	process	NOUN
ejpam-4547	124	26	happens	happen	VERB
ejpam-4547	124	27	in	in	ADP
ejpam-4547	124	28	infinite	infinite	ADJ
ejpam-4547	124	29	media	medium	NOUN
ejpam-4547	124	30	and	and	CCONJ
ejpam-4547	124	31	corresponds	correspond	VERB
ejpam-4547	124	32	with	with	ADP
ejpam-4547	124	33	the	the	DET
ejpam-4547	124	34	initial	initial	ADJ
ejpam-4547	124	35	condition	condition	NOUN
ejpam-4547	124	36	c(x	c(x	NOUN
ejpam-4547	124	37	,	,	PUNCT
ejpam-4547	124	38	0	0	NUM
ejpam-4547	124	39	)	)	PUNCT
ejpam-4547	124	40	=	=	SYM
ejpam-4547	124	41	δ(x	δ(x	NOUN
ejpam-4547	124	42	)	)	PUNCT
ejpam-4547	124	43	,	,	PUNCT
ejpam-4547	124	44	where	where	SCONJ
ejpam-4547	124	45	δ(x	δ(x	NOUN
ejpam-4547	124	46	)	)	PUNCT
ejpam-4547	124	47	indicates	indicate	VERB
ejpam-4547	124	48	the	the	DET
ejpam-4547	124	49	dirac	dirac	NOUN
ejpam-4547	124	50	delta	delta	NOUN
ejpam-4547	124	51	function	function	NOUN
ejpam-4547	124	52	.	.	PUNCT
ejpam-4547	125	1	applying	apply	VERB
ejpam-4547	125	2	the	the	DET
ejpam-4547	125	3	fourier	fourier	NOUN
ejpam-4547	125	4	transform	transform	NOUN
ejpam-4547	125	5	to	to	ADP
ejpam-4547	125	6	both	both	DET
ejpam-4547	125	7	sides	side	NOUN
ejpam-4547	125	8	of	of	ADP
ejpam-4547	125	9	the	the	DET
ejpam-4547	125	10	fractional	fractional	ADJ
ejpam-4547	125	11	diffusion	diffusion	NOUN
ejpam-4547	125	12	equation	equation	NOUN
ejpam-4547	125	13	,	,	PUNCT
ejpam-4547	125	14	eq	eq	NOUN
ejpam-4547	125	15	.	.	PUNCT
ejpam-4547	126	1	(	(	PUNCT
ejpam-4547	126	2	4	4	NUM
ejpam-4547	126	3	)	)	PUNCT
ejpam-4547	126	4	,	,	PUNCT
ejpam-4547	126	5	gives	give	VERB
ejpam-4547	126	6	∂αĉ(ξ	∂αĉ(ξ	PROPN
ejpam-4547	126	7	,	,	PUNCT
ejpam-4547	126	8	t	t	PROPN
ejpam-4547	126	9	)	)	PUNCT
ejpam-4547	126	10	∂tα	∂tα	PROPN
ejpam-4547	126	11	=	=	PUNCT
ejpam-4547	126	12	dα(2πiξ	dα(2πiξ	PROPN
ejpam-4547	126	13	)	)	PUNCT
ejpam-4547	126	14	2ĉ(ξ	2ĉ(ξ	NOUN
ejpam-4547	126	15	,	,	PUNCT
ejpam-4547	126	16	t	t	PROPN
ejpam-4547	126	17	)	)	PUNCT
ejpam-4547	126	18	,	,	PUNCT
ejpam-4547	126	19	(	(	PUNCT
ejpam-4547	126	20	5	5	NUM
ejpam-4547	126	21	)	)	PUNCT
ejpam-4547	126	22	or	or	CCONJ
ejpam-4547	126	23	f	f	PROPN
ejpam-4547	126	24	(	(	PUNCT
ejpam-4547	126	25	α)(ĉ(ξ	α)(ĉ(ξ	PROPN
ejpam-4547	126	26	,	,	PUNCT
ejpam-4547	126	27	t	t	PROPN
ejpam-4547	126	28	)	)	PUNCT
ejpam-4547	126	29	)	)	PUNCT
ejpam-4547	127	1	=	=	SYM
ejpam-4547	128	1	−4π2dαξ	−4π2dαξ	PROPN
ejpam-4547	128	2	2ĉ(ξ	2ĉ(ξ	NOUN
ejpam-4547	128	3	,	,	PUNCT
ejpam-4547	128	4	t	t	PROPN
ejpam-4547	128	5	)	)	PUNCT
ejpam-4547	128	6	,	,	PUNCT
ejpam-4547	128	7	(	(	PUNCT
ejpam-4547	128	8	6	6	X
ejpam-4547	128	9	)	)	PUNCT
ejpam-4547	128	10	m.	m.	NOUN
ejpam-4547	128	11	noshad	noshad	PROPN
ejpam-4547	128	12	,	,	PUNCT
ejpam-4547	128	13	a.	a.	NOUN
ejpam-4547	128	14	pishkoo	pishkoo	NOUN
ejpam-4547	128	15	,	,	PUNCT
ejpam-4547	128	16	m.	m.	NOUN
ejpam-4547	128	17	darus	darus	NOUN
ejpam-4547	128	18	/	/	SYM
ejpam-4547	128	19	eur	eur	PROPN
ejpam-4547	128	20	.	.	PUNCT
ejpam-4547	129	1	j.	j.	PROPN
ejpam-4547	129	2	pure	pure	PROPN
ejpam-4547	129	3	appl	appl	PROPN
ejpam-4547	129	4	.	.	PROPN
ejpam-4547	129	5	math	math	PROPN
ejpam-4547	129	6	,	,	PUNCT
ejpam-4547	129	7	15	15	NUM
ejpam-4547	129	8	(	(	PUNCT
ejpam-4547	129	9	4	4	NUM
ejpam-4547	129	10	)	)	PUNCT
ejpam-4547	129	11	(	(	PUNCT
ejpam-4547	129	12	2022	2022	NUM
ejpam-4547	129	13	)	)	PUNCT
ejpam-4547	129	14	,	,	PUNCT
ejpam-4547	129	15	1738	1738	NUM
ejpam-4547	129	16	-	-	SYM
ejpam-4547	129	17	1749	1749	NUM
ejpam-4547	129	18	1745	1745	NUM
ejpam-4547	129	19	figure	figure	NOUN
ejpam-4547	129	20	2	2	NUM
ejpam-4547	129	21	:	:	PUNCT
ejpam-4547	129	22	from	from	ADP
ejpam-4547	129	23	view	view	NOUN
ejpam-4547	129	24	elements	element	NOUN
ejpam-4547	129	25	in	in	ADP
ejpam-4547	129	26	ejs	ejs	PROPN
ejpam-4547	129	27	software	software	PROPN
ejpam-4547	129	28	,	,	PUNCT
ejpam-4547	129	29	we	we	PRON
ejpam-4547	129	30	add	add	VERB
ejpam-4547	129	31	“	"	PUNCT
ejpam-4547	129	32	data	datum	NOUN
ejpam-4547	129	33	table	table	NOUN
ejpam-4547	129	34	”	"	PUNCT
ejpam-4547	129	35	element	element	NOUN
ejpam-4547	129	36	to	to	ADP
ejpam-4547	129	37	“	"	PUNCT
ejpam-4547	129	38	tree	tree	NOUN
ejpam-4547	129	39	element	element	NOUN
ejpam-4547	129	40	”	"	PUNCT
ejpam-4547	129	41	where	where	SCONJ
ejpam-4547	129	42	the	the	DET
ejpam-4547	129	43	initial	initial	ADJ
ejpam-4547	129	44	condition	condition	NOUN
ejpam-4547	129	45	is	be	AUX
ejpam-4547	129	46	ĉ(ξ	ĉ(ξ	NOUN
ejpam-4547	129	47	,	,	PUNCT
ejpam-4547	129	48	0	0	NUM
ejpam-4547	129	49	)	)	PUNCT
ejpam-4547	129	50	=	=	SYM
ejpam-4547	130	1	1	1	X
ejpam-4547	130	2	.	.	X
ejpam-4547	130	3	using	use	VERB
ejpam-4547	130	4	ejs	ejs	PROPN
ejpam-4547	130	5	,	,	PUNCT
ejpam-4547	130	6	in	in	ADP
ejpam-4547	130	7	this	this	DET
ejpam-4547	130	8	paper	paper	NOUN
ejpam-4547	130	9	,	,	PUNCT
ejpam-4547	130	10	we	we	PRON
ejpam-4547	130	11	solve	solve	VERB
ejpam-4547	130	12	the	the	DET
ejpam-4547	130	13	following	follow	VERB
ejpam-4547	130	14	equation	equation	NOUN
ejpam-4547	130	15	numerically	numerically	ADV
ejpam-4547	130	16	(	(	PUNCT
ejpam-4547	130	17	see	see	VERB
ejpam-4547	130	18	fig	fig	NOUN
ejpam-4547	130	19	.	.	PUNCT
ejpam-4547	131	1	3	3	NUM
ejpam-4547	131	2	)	)	PUNCT
ejpam-4547	131	3	.	.	PUNCT
ejpam-4547	132	1	d	d	NOUN
ejpam-4547	132	2	dt	dt	PUNCT
ejpam-4547	132	3	ĉ(ξ	ĉ(ξ	PROPN
ejpam-4547	132	4	,	,	PUNCT
ejpam-4547	132	5	t	t	PROPN
ejpam-4547	132	6	)	)	PUNCT
ejpam-4547	133	1	+	+	CCONJ
ejpam-4547	133	2	4π2dαξ	4π2dαξ	NUM
ejpam-4547	133	3	2tα−1ĉ(ξ	2tα−1ĉ(ξ	NUM
ejpam-4547	133	4	,	,	PUNCT
ejpam-4547	133	5	t	t	PROPN
ejpam-4547	133	6	)	)	PUNCT
ejpam-4547	134	1	=	=	SYM
ejpam-4547	134	2	0	0	X
ejpam-4547	134	3	.	.	PUNCT
ejpam-4547	135	1	(	(	PUNCT
ejpam-4547	135	2	7	7	X
ejpam-4547	135	3	)	)	PUNCT
ejpam-4547	135	4	it	it	PRON
ejpam-4547	135	5	is	be	AUX
ejpam-4547	135	6	possible	possible	ADJ
ejpam-4547	135	7	to	to	PART
ejpam-4547	135	8	write	write	VERB
ejpam-4547	135	9	the	the	DET
ejpam-4547	135	10	general	general	ADJ
ejpam-4547	135	11	solution	solution	NOUN
ejpam-4547	135	12	of	of	ADP
ejpam-4547	135	13	the	the	DET
ejpam-4547	135	14	ordinary	ordinary	ADJ
ejpam-4547	135	15	differential	differential	ADJ
ejpam-4547	135	16	equation	equation	NOUN
ejpam-4547	135	17	,	,	PUNCT
ejpam-4547	135	18	eq	eq	NOUN
ejpam-4547	135	19	.	.	PUNCT
ejpam-4547	136	1	(	(	PUNCT
ejpam-4547	136	2	7	7	NUM
ejpam-4547	136	3	)	)	PUNCT
ejpam-4547	136	4	,	,	PUNCT
ejpam-4547	136	5	as	as	ADP
ejpam-4547	136	6	ĉ(ξ	ĉ(ξ	PROPN
ejpam-4547	136	7	,	,	PUNCT
ejpam-4547	136	8	t	t	PROPN
ejpam-4547	136	9	)	)	PUNCT
ejpam-4547	136	10	=	=	SYM
ejpam-4547	136	11	c0	c0	PROPN
ejpam-4547	136	12	exp	exp	NOUN
ejpam-4547	136	13	−4dαπ	−4dαπ	NOUN
ejpam-4547	136	14	2ξ2	2ξ2	NUM
ejpam-4547	136	15	α	α	PROPN
ejpam-4547	136	16	tα	tα	PROPN
ejpam-4547	136	17	.	.	PUNCT
ejpam-4547	137	1	(	(	PUNCT
ejpam-4547	137	2	8)	8)	NUM
ejpam-4547	137	3	changing	change	VERB
ejpam-4547	137	4	the	the	DET
ejpam-4547	137	5	general	general	ADJ
ejpam-4547	137	6	solution	solution	NOUN
ejpam-4547	137	7	to	to	PART
ejpam-4547	137	8	include	include	VERB
ejpam-4547	137	9	the	the	DET
ejpam-4547	137	10	initial	initial	ADJ
ejpam-4547	137	11	condition	condition	NOUN
ejpam-4547	137	12	ĉ(ξ	ĉ(ξ	NOUN
ejpam-4547	137	13	,	,	PUNCT
ejpam-4547	137	14	0	0	NUM
ejpam-4547	137	15	)	)	PUNCT
ejpam-4547	137	16	=	=	SYM
ejpam-4547	137	17	1	1	NUM
ejpam-4547	137	18	on	on	ADP
ejpam-4547	137	19	eq	eq	ADP
ejpam-4547	137	20	.	.	PUNCT
ejpam-4547	138	1	(	(	PUNCT
ejpam-4547	138	2	8)	8)	NUM
ejpam-4547	138	3	produces	produce	VERB
ejpam-4547	138	4	ĉ(ξ	ĉ(ξ	PROPN
ejpam-4547	138	5	,	,	PUNCT
ejpam-4547	138	6	t	t	PROPN
ejpam-4547	138	7	)	)	PUNCT
ejpam-4547	138	8	=	=	NOUN
ejpam-4547	138	9	exp	exp	NOUN
ejpam-4547	139	1	−4dαπ	−4dαπ	NOUN
ejpam-4547	139	2	2ξ2	2ξ2	NUM
ejpam-4547	139	3	α	α	PROPN
ejpam-4547	139	4	tα	tα	PROPN
ejpam-4547	139	5	.	.	PUNCT
ejpam-4547	140	1	(	(	PUNCT
ejpam-4547	140	2	9	9	X
ejpam-4547	140	3	)	)	PUNCT
ejpam-4547	140	4	the	the	DET
ejpam-4547	140	5	analytical	analytical	ADJ
ejpam-4547	140	6	solution	solution	NOUN
ejpam-4547	140	7	of	of	ADP
ejpam-4547	140	8	the	the	DET
ejpam-4547	140	9	conformable	conformable	ADJ
ejpam-4547	140	10	diffusion	diffusion	NOUN
ejpam-4547	140	11	equation	equation	NOUN
ejpam-4547	140	12	,	,	PUNCT
ejpam-4547	140	13	eq	eq	NOUN
ejpam-4547	140	14	.	.	PUNCT
ejpam-4547	140	15	(	(	PUNCT
ejpam-4547	140	16	5	5	NUM
ejpam-4547	140	17	)	)	PUNCT
ejpam-4547	140	18	,	,	PUNCT
ejpam-4547	140	19	is	be	AUX
ejpam-4547	140	20	shown	show	VERB
ejpam-4547	140	21	to	to	PART
ejpam-4547	140	22	be	be	AUX
ejpam-4547	140	23	a	a	DET
ejpam-4547	140	24	time	time	NOUN
ejpam-4547	140	25	-	-	PUNCT
ejpam-4547	140	26	dependent	dependent	ADJ
ejpam-4547	140	27	gaussian	gaussian	ADJ
ejpam-4547	140	28	distribution	distribution	NOUN
ejpam-4547	140	29	resulting	result	VERB
ejpam-4547	140	30	from	from	ADP
ejpam-4547	140	31	the	the	DET
ejpam-4547	140	32	inverse	inverse	NOUN
ejpam-4547	140	33	fourier	fourier	NOUN
ejpam-4547	140	34	transform	transform	NOUN
ejpam-4547	140	35	.	.	PUNCT
ejpam-4547	141	1	obviously	obviously	ADV
ejpam-4547	141	2	,	,	PUNCT
ejpam-4547	141	3	the	the	DET
ejpam-4547	141	4	conventional	conventional	ADJ
ejpam-4547	141	5	gauss	gauss	PROPN
ejpam-4547	141	6	kernel	kernel	PROPN
ejpam-4547	141	7	model	model	PROPN
ejpam-4547	141	8	,	,	PUNCT
ejpam-4547	141	9	which	which	PRON
ejpam-4547	141	10	is	be	AUX
ejpam-4547	141	11	the	the	DET
ejpam-4547	141	12	normal	normal	ADJ
ejpam-4547	141	13	diffusion	diffusion	NOUN
ejpam-4547	141	14	with	with	ADP
ejpam-4547	141	15	α	α	PROPN
ejpam-4547	141	16	=	=	SYM
ejpam-4547	141	17	1	1	NUM
ejpam-4547	141	18	,	,	PUNCT
ejpam-4547	141	19	and	and	CCONJ
ejpam-4547	141	20	has	have	VERB
ejpam-4547	141	21	an	an	DET
ejpam-4547	141	22	analytical	analytical	ADJ
ejpam-4547	141	23	solution	solution	NOUN
ejpam-4547	141	24	,	,	PUNCT
ejpam-4547	141	25	is	be	AUX
ejpam-4547	141	26	an	an	DET
ejpam-4547	141	27	extension	extension	NOUN
ejpam-4547	141	28	of	of	ADP
ejpam-4547	141	29	the	the	DET
ejpam-4547	141	30	conformable	conformable	ADJ
ejpam-4547	141	31	derivative	derivative	ADJ
ejpam-4547	141	32	gauss	gauss	PROPN
ejpam-4547	141	33	kernel	kernel	PROPN
ejpam-4547	141	34	model	model	NOUN
ejpam-4547	141	35	that	that	PRON
ejpam-4547	141	36	is	be	AUX
ejpam-4547	141	37	being	be	AUX
ejpam-4547	141	38	described	describe	VERB
ejpam-4547	141	39	.	.	PUNCT
ejpam-4547	142	1	the	the	DET
ejpam-4547	142	2	analytical	analytical	ADJ
ejpam-4547	142	3	solution	solution	NOUN
ejpam-4547	142	4	of	of	ADP
ejpam-4547	142	5	the	the	DET
ejpam-4547	142	6	conformable	conformable	ADJ
ejpam-4547	142	7	diffusion	diffusion	NOUN
ejpam-4547	142	8	equation	equation	NOUN
ejpam-4547	142	9	,	,	PUNCT
ejpam-4547	142	10	eq	eq	NOUN
ejpam-4547	142	11	.	.	PUNCT
ejpam-4547	143	1	(	(	PUNCT
ejpam-4547	143	2	9	9	NUM
ejpam-4547	143	3	)	)	PUNCT
ejpam-4547	143	4	,	,	PUNCT
ejpam-4547	143	5	is	be	AUX
ejpam-4547	143	6	shown	show	VERB
ejpam-4547	143	7	to	to	PART
ejpam-4547	143	8	be	be	AUX
ejpam-4547	143	9	a	a	DET
ejpam-4547	143	10	time	time	NOUN
ejpam-4547	143	11	-	-	PUNCT
ejpam-4547	143	12	dependent	dependent	ADJ
ejpam-4547	143	13	gaussian	gaussian	ADJ
ejpam-4547	143	14	distribution	distribution	NOUN
ejpam-4547	143	15	resulting	result	VERB
ejpam-4547	143	16	from	from	ADP
ejpam-4547	143	17	the	the	DET
ejpam-4547	143	18	inverse	inverse	NOUN
ejpam-4547	143	19	fourier	fourier	NOUN
ejpam-4547	143	20	transform	transform	NOUN
ejpam-4547	143	21	.	.	PUNCT
ejpam-4547	144	1	c(x	c(x	NOUN
ejpam-4547	144	2	,	,	PUNCT
ejpam-4547	144	3	t	t	PROPN
ejpam-4547	144	4	)	)	PUNCT
ejpam-4547	144	5	=	=	PUNCT
ejpam-4547	145	1	√	√	NUM
ejpam-4547	145	2	α	α	NUM
ejpam-4547	145	3	4πdαtα	4πdαtα	NUM
ejpam-4547	145	4	exp(−	exp(−	PROPN
ejpam-4547	145	5	α	α	PROPN
ejpam-4547	145	6	4dαtα	4dαtα	NUM
ejpam-4547	145	7	x2	x2	NOUN
ejpam-4547	145	8	)	)	PUNCT
ejpam-4547	145	9	.	.	PUNCT
ejpam-4547	146	1	(	(	PUNCT
ejpam-4547	146	2	10	10	NUM
ejpam-4547	146	3	)	)	PUNCT
ejpam-4547	146	4	m.	m.	NOUN
ejpam-4547	146	5	noshad	noshad	PROPN
ejpam-4547	146	6	,	,	PUNCT
ejpam-4547	146	7	a.	a.	NOUN
ejpam-4547	146	8	pishkoo	pishkoo	NOUN
ejpam-4547	146	9	,	,	PUNCT
ejpam-4547	146	10	m.	m.	NOUN
ejpam-4547	146	11	darus	darus	NOUN
ejpam-4547	146	12	/	/	SYM
ejpam-4547	146	13	eur	eur	PROPN
ejpam-4547	146	14	.	.	PUNCT
ejpam-4547	147	1	j.	j.	PROPN
ejpam-4547	147	2	pure	pure	PROPN
ejpam-4547	147	3	appl	appl	PROPN
ejpam-4547	147	4	.	.	PROPN
ejpam-4547	147	5	math	math	PROPN
ejpam-4547	147	6	,	,	PUNCT
ejpam-4547	147	7	15	15	NUM
ejpam-4547	147	8	(	(	PUNCT
ejpam-4547	147	9	4	4	NUM
ejpam-4547	147	10	)	)	PUNCT
ejpam-4547	147	11	(	(	PUNCT
ejpam-4547	147	12	2022	2022	NUM
ejpam-4547	147	13	)	)	PUNCT
ejpam-4547	147	14	,	,	PUNCT
ejpam-4547	147	15	1738	1738	NUM
ejpam-4547	147	16	-	-	SYM
ejpam-4547	147	17	1749	1749	NUM
ejpam-4547	147	18	1746	1746	NUM
ejpam-4547	147	19	figure	figure	NOUN
ejpam-4547	147	20	3	3	NUM
ejpam-4547	147	21	:	:	PUNCT
ejpam-4547	147	22	(	(	PUNCT
ejpam-4547	147	23	a	a	X
ejpam-4547	147	24	)	)	PUNCT
ejpam-4547	147	25	solving	solve	VERB
ejpam-4547	147	26	conformable	conformable	ADJ
ejpam-4547	147	27	differential	differential	NOUN
ejpam-4547	147	28	equations	equation	NOUN
ejpam-4547	147	29	eq	eq	ADJ
ejpam-4547	147	30	.	.	PUNCT
ejpam-4547	148	1	(	(	PUNCT
ejpam-4547	148	2	1.6	1.6	NUM
ejpam-4547	148	3	)	)	PUNCT
ejpam-4547	148	4	numerically	numerically	ADV
ejpam-4547	148	5	(	(	PUNCT
ejpam-4547	148	6	b	b	NOUN
ejpam-4547	148	7	)	)	PUNCT
ejpam-4547	148	8	for	for	ADP
ejpam-4547	148	9	different	different	ADJ
ejpam-4547	148	10	α	α	NOUN
ejpam-4547	148	11	=	=	SYM
ejpam-4547	148	12	1	1	NUM
ejpam-4547	148	13	(	(	PUNCT
ejpam-4547	148	14	red	red	NOUN
ejpam-4547	148	15	)	)	PUNCT
ejpam-4547	148	16	,	,	PUNCT
ejpam-4547	148	17	0.9	0.9	NUM
ejpam-4547	148	18	(	(	PUNCT
ejpam-4547	148	19	blue	blue	NOUN
ejpam-4547	148	20	)	)	PUNCT
ejpam-4547	148	21	,	,	PUNCT
ejpam-4547	148	22	0.8	0.8	NUM
ejpam-4547	148	23	(	(	PUNCT
ejpam-4547	148	24	green	green	NOUN
ejpam-4547	148	25	)	)	PUNCT
ejpam-4547	148	26	,	,	PUNCT
ejpam-4547	148	27	0.7	0.7	NUM
ejpam-4547	148	28	(	(	PUNCT
ejpam-4547	148	29	yellow	yellow	ADJ
ejpam-4547	148	30	)	)	PUNCT
ejpam-4547	148	31	,	,	PUNCT
ejpam-4547	148	32	0.6	0.6	NUM
ejpam-4547	148	33	(	(	PUNCT
ejpam-4547	148	34	black	black	NOUN
ejpam-4547	148	35	)	)	PUNCT
ejpam-4547	148	36	,	,	PUNCT
ejpam-4547	148	37	and	and	CCONJ
ejpam-4547	148	38	0.5	0.5	NUM
ejpam-4547	148	39	(	(	PUNCT
ejpam-4547	148	40	pink)-cf	pink)-cf	ADJ
ejpam-4547	148	41	≡	≡	PROPN
ejpam-4547	148	42	ĉ(ξ	ĉ(ξ	PROPN
ejpam-4547	148	43	,	,	PUNCT
ejpam-4547	148	44	t	t	PROPN
ejpam-4547	148	45	)	)	PUNCT
ejpam-4547	148	46	.	.	PUNCT
ejpam-4547	149	1	figure	figure	VERB
ejpam-4547	149	2	4	4	NUM
ejpam-4547	149	3	:	:	PUNCT
ejpam-4547	149	4	(	(	PUNCT
ejpam-4547	149	5	a	a	X
ejpam-4547	149	6	)	)	PUNCT
ejpam-4547	149	7	comparing	compare	VERB
ejpam-4547	149	8	diffusion	diffusion	NOUN
ejpam-4547	149	9	process	process	NOUN
ejpam-4547	149	10	(	(	PUNCT
ejpam-4547	149	11	blue	blue	ADJ
ejpam-4547	149	12	curve	curve	NOUN
ejpam-4547	149	13	for	for	ADP
ejpam-4547	149	14	α	α	NOUN
ejpam-4547	149	15	=	=	SYM
ejpam-4547	149	16	1	1	NUM
ejpam-4547	149	17	)	)	PUNCT
ejpam-4547	149	18	with	with	ADP
ejpam-4547	149	19	(	(	PUNCT
ejpam-4547	149	20	b	b	NOUN
ejpam-4547	149	21	)	)	PUNCT
ejpam-4547	149	22	sub	sub	ADJ
ejpam-4547	149	23	-	-	ADJ
ejpam-4547	149	24	diffusion	diffusion	NOUN
ejpam-4547	149	25	process	process	NOUN
ejpam-4547	149	26	(	(	PUNCT
ejpam-4547	149	27	red	red	ADJ
ejpam-4547	149	28	curve	curve	NOUN
ejpam-4547	149	29	for	for	ADP
ejpam-4547	149	30	α	α	NOUN
ejpam-4547	149	31	=	=	SYM
ejpam-4547	149	32	0.5	0.5	NUM
ejpam-4547	149	33	)	)	PUNCT
ejpam-4547	149	34	.	.	PUNCT
ejpam-4547	150	1	using	use	VERB
ejpam-4547	150	2	a	a	DET
ejpam-4547	150	3	gaussian	gaussian	NOUN
ejpam-4547	150	4	of	of	ADP
ejpam-4547	150	5	similar	similar	ADJ
ejpam-4547	150	6	narrowness	narrowness	NOUN
ejpam-4547	150	7	,	,	PUNCT
ejpam-4547	150	8	the	the	DET
ejpam-4547	150	9	computation	computation	NOUN
ejpam-4547	150	10	begins	begin	VERB
ejpam-4547	150	11	at	at	ADP
ejpam-4547	150	12	t	t	NOUN
ejpam-4547	150	13	=	=	SYM
ejpam-4547	150	14	0.0001s	0.0001s	PROPN
ejpam-4547	150	15	to	to	PART
ejpam-4547	150	16	prevent212	prevent212	VERB
ejpam-4547	150	17	the	the	DET
ejpam-4547	150	18	delta	delta	NOUN
ejpam-4547	150	19	function	function	NOUN
ejpam-4547	150	20	’s	’s	PART
ejpam-4547	150	21	singularity	singularity	NOUN
ejpam-4547	150	22	at	at	ADP
ejpam-4547	150	23	time	time	NOUN
ejpam-4547	150	24	t	t	PROPN
ejpam-4547	150	25	=	=	SYM
ejpam-4547	150	26	0	0	X
ejpam-4547	150	27	.	.	PUNCT
ejpam-4547	151	1	it	it	PRON
ejpam-4547	151	2	appears	appear	VERB
ejpam-4547	151	3	as	as	ADP
ejpam-4547	151	4	a	a	DET
ejpam-4547	151	5	blue	blue	ADJ
ejpam-4547	151	6	line	line	NOUN
ejpam-4547	151	7	before	before	ADP
ejpam-4547	151	8	the	the	DET
ejpam-4547	151	9	com-213	com-213	NOUN
ejpam-4547	151	10	mencement	mencement	NOUN
ejpam-4547	151	11	(	(	PUNCT
ejpam-4547	151	12	see	see	VERB
ejpam-4547	151	13	fig	fig	NOUN
ejpam-4547	151	14	.	.	PUNCT
ejpam-4547	152	1	4	4	NUM
ejpam-4547	152	2	)	)	PUNCT
ejpam-4547	152	3	.	.	PUNCT
ejpam-4547	153	1	after	after	ADP
ejpam-4547	153	2	clicking	click	VERB
ejpam-4547	153	3	the	the	DET
ejpam-4547	153	4	run	run	NOUN
ejpam-4547	153	5	key	key	NOUN
ejpam-4547	153	6	,	,	PUNCT
ejpam-4547	153	7	the	the	DET
ejpam-4547	153	8	maximum	maximum	ADJ
ejpam-4547	153	9	amplitude	amplitude	NOUN
ejpam-4547	153	10	decreases214	decreases214	PROPN
ejpam-4547	153	11	(	(	PUNCT
ejpam-4547	153	12	observe	observe	VERB
ejpam-4547	153	13	the	the	DET
ejpam-4547	153	14	shifting	shift	VERB
ejpam-4547	153	15	scale	scale	NOUN
ejpam-4547	153	16	)	)	PUNCT
ejpam-4547	153	17	.	.	PUNCT
ejpam-4547	154	1	still	still	ADV
ejpam-4547	154	2	,	,	PUNCT
ejpam-4547	154	3	the	the	DET
ejpam-4547	154	4	width	width	NOUN
ejpam-4547	154	5	of	of	ADP
ejpam-4547	154	6	the	the	DET
ejpam-4547	154	7	distribution	distribution	NOUN
ejpam-4547	154	8	rises	rise	VERB
ejpam-4547	154	9	proportionately.215	proportionately.215	PROPN
ejpam-4547	154	10	5	5	NUM
ejpam-4547	154	11	.	.	PUNCT
ejpam-4547	155	1	conclusion216	conclusion216	PROPN
ejpam-4547	155	2	the	the	DET
ejpam-4547	155	3	method	method	NOUN
ejpam-4547	155	4	used	use	VERB
ejpam-4547	155	5	in	in	ADP
ejpam-4547	155	6	this	this	DET
ejpam-4547	155	7	article	article	NOUN
ejpam-4547	155	8	differs	differ	VERB
ejpam-4547	155	9	from	from	ADP
ejpam-4547	155	10	the	the	DET
ejpam-4547	155	11	other	other	ADJ
ejpam-4547	155	12	methods	method	NOUN
ejpam-4547	155	13	.	.	PUNCT
ejpam-4547	156	1	at	at	ADP
ejpam-4547	156	2	the	the	DET
ejpam-4547	156	3	same	same	ADJ
ejpam-4547	156	4	time	time	NOUN
ejpam-4547	156	5	as217	as217	VERB
ejpam-4547	156	6	clicking	click	VERB
ejpam-4547	156	7	the	the	DET
ejpam-4547	156	8	execute	execute	NOUN
ejpam-4547	156	9	button	button	NOUN
ejpam-4547	156	10	to	to	PART
ejpam-4547	156	11	solve	solve	VERB
ejpam-4547	156	12	the	the	DET
ejpam-4547	156	13	differential	differential	ADJ
ejpam-4547	156	14	equation	equation	NOUN
ejpam-4547	156	15	numerically	numerically	ADV
ejpam-4547	156	16	,	,	PUNCT
ejpam-4547	156	17	the	the	DET
ejpam-4547	156	18	solution	solution	NOUN
ejpam-4547	156	19	is218	is218	PROPN
ejpam-4547	156	20	also	also	ADV
ejpam-4547	156	21	displayed	display	VERB
ejpam-4547	156	22	as	as	ADP
ejpam-4547	156	23	an	an	DET
ejpam-4547	156	24	animation	animation	NOUN
ejpam-4547	156	25	diagram	diagram	NOUN
ejpam-4547	156	26	.	.	PUNCT
ejpam-4547	157	1	in	in	ADP
ejpam-4547	157	2	addition	addition	NOUN
ejpam-4547	157	3	,	,	PUNCT
ejpam-4547	157	4	it	it	PRON
ejpam-4547	157	5	also	also	ADV
ejpam-4547	157	6	provides	provide	VERB
ejpam-4547	157	7	the	the	DET
ejpam-4547	157	8	relevant	relevant	ADJ
ejpam-4547	157	9	data	datum	NOUN
ejpam-4547	157	10	table219	table219	PROPN
ejpam-4547	157	11	in	in	ADP
ejpam-4547	157	12	real	real	ADJ
ejpam-4547	157	13	time	time	NOUN
ejpam-4547	157	14	.	.	PUNCT
ejpam-4547	158	1	with	with	ADP
ejpam-4547	158	2	easy	easy	ADJ
ejpam-4547	158	3	java	java	NOUN
ejpam-4547	158	4	simulations	simulation	NOUN
ejpam-4547	158	5	(	(	PUNCT
ejpam-4547	158	6	ejss	ejss	NOUN
ejpam-4547	158	7	)	)	PUNCT
ejpam-4547	158	8	software	software	NOUN
ejpam-4547	158	9	,	,	PUNCT
ejpam-4547	158	10	you	you	PRON
ejpam-4547	158	11	may	may	AUX
ejpam-4547	158	12	verify	verify	VERB
ejpam-4547	158	13	the	the	DET
ejpam-4547	158	14	analytical220	analytical220	NOUN
ejpam-4547	158	15	solution	solution	NOUN
ejpam-4547	158	16	derived	derive	VERB
ejpam-4547	158	17	from	from	ADP
ejpam-4547	158	18	another	another	DET
ejpam-4547	158	19	method	method	NOUN
ejpam-4547	158	20	with	with	ADP
ejpam-4547	158	21	the	the	DET
ejpam-4547	158	22	numerical	numerical	ADJ
ejpam-4547	158	23	results	result	NOUN
ejpam-4547	158	24	of	of	ADP
ejpam-4547	158	25	ejs	ejs	PROPN
ejpam-4547	158	26	software	software	PROPN
ejpam-4547	158	27	.	.	PUNCT
ejpam-4547	159	1	this221	this221	NOUN
ejpam-4547	159	2	program	program	NOUN
ejpam-4547	159	3	has	have	VERB
ejpam-4547	159	4	both	both	CCONJ
ejpam-4547	159	5	educational	educational	ADJ
ejpam-4547	159	6	and	and	CCONJ
ejpam-4547	159	7	research	research	NOUN
ejpam-4547	159	8	purposes	purpose	NOUN
ejpam-4547	159	9	.	.	PUNCT
ejpam-4547	160	1	different	different	ADJ
ejpam-4547	160	2	algorithms	algorithm	NOUN
ejpam-4547	160	3	for	for	ADP
ejpam-4547	160	4	solving222	solving222	PROPN
ejpam-4547	160	5	differential	differential	NOUN
ejpam-4547	160	6	equations	equation	NOUN
ejpam-4547	160	7	and	and	CCONJ
ejpam-4547	160	8	adjusting	adjust	VERB
ejpam-4547	160	9	the	the	DET
ejpam-4547	160	10	step	step	NOUN
ejpam-4547	160	11	size	size	NOUN
ejpam-4547	160	12	are	be	AUX
ejpam-4547	160	13	available	available	ADJ
ejpam-4547	160	14	inside	inside	ADP
ejpam-4547	160	15	this	this	DET
ejpam-4547	160	16	application.223	application.223	PROPN
ejpam-4547	160	17	references	reference	NOUN
ejpam-4547	160	18	1747	1747	NUM
ejpam-4547	160	19	acknowledgements224	acknowledgements224	VERB
ejpam-4547	160	20	the	the	DET
ejpam-4547	160	21	authors	author	NOUN
ejpam-4547	160	22	are	be	AUX
ejpam-4547	160	23	sincerely	sincerely	ADV
ejpam-4547	160	24	grateful	grateful	ADJ
ejpam-4547	160	25	to	to	ADP
ejpam-4547	160	26	the	the	DET
ejpam-4547	160	27	editor	editor	NOUN
ejpam-4547	160	28	and	and	CCONJ
ejpam-4547	160	29	anonymous	anonymous	ADJ
ejpam-4547	160	30	referees	referee	NOUN
ejpam-4547	160	31	for	for	ADP
ejpam-4547	160	32	careful225	careful225	PROPN
ejpam-4547	160	33	reading	reading	NOUN
ejpam-4547	160	34	of	of	ADP
ejpam-4547	160	35	the	the	DET
ejpam-4547	160	36	original	original	ADJ
ejpam-4547	160	37	manuscript	manuscript	NOUN
ejpam-4547	160	38	and	and	CCONJ
ejpam-4547	160	39	useful	useful	ADJ
ejpam-4547	160	40	comments.226	comments.226	NOUN
ejpam-4547	160	41	references227	references227	PROPN
ejpam-4547	161	1	[	[	X
ejpam-4547	161	2	1	1	X
ejpam-4547	161	3	]	]	PUNCT
ejpam-4547	161	4	t.	t.	NOUN
ejpam-4547	161	5	abdeljawad	abdeljawad	NOUN
ejpam-4547	161	6	.	.	PUNCT
ejpam-4547	162	1	on	on	ADP
ejpam-4547	162	2	conformable	conformable	ADJ
ejpam-4547	162	3	fractional	fractional	ADJ
ejpam-4547	162	4	calculus	calculus	NOUN
ejpam-4547	162	5	.	.	PUNCT
ejpam-4547	163	1	j.	j.	PROPN
ejpam-4547	163	2	comput	comput	PROPN
ejpam-4547	163	3	.	.	PUNCT
ejpam-4547	164	1	appl	appl	PROPN
ejpam-4547	164	2	.	.	PROPN
ejpam-4547	164	3	math	math	PROPN
ejpam-4547	164	4	.	.	PUNCT
ejpam-4547	165	1	,	,	PUNCT
ejpam-4547	165	2	279:57–228	279:57–228	NUM
ejpam-4547	165	3	66	66	NUM
ejpam-4547	165	4	,	,	PUNCT
ejpam-4547	165	5	2015.229	2015.229	PROPN
ejpam-4547	166	1	[	[	X
ejpam-4547	166	2	2	2	NUM
ejpam-4547	166	3	]	]	PUNCT
ejpam-4547	166	4	a.	a.	NOUN
ejpam-4547	166	5	atangana	atangana	PROPN
ejpam-4547	166	6	and	and	CCONJ
ejpam-4547	166	7	m.	m.	PROPN
ejpam-4547	166	8	altaf	altaf	PROPN
ejpam-4547	166	9	khan	khan	PROPN
ejpam-4547	166	10	.	.	PUNCT
ejpam-4547	167	1	validity	validity	NOUN
ejpam-4547	167	2	of	of	ADP
ejpam-4547	167	3	fractal	fractal	ADJ
ejpam-4547	167	4	derivative	derivative	NOUN
ejpam-4547	167	5	to	to	ADP
ejpam-4547	167	6	capturing	capture	VERB
ejpam-4547	167	7	chaotic230	chaotic230	PROPN
ejpam-4547	167	8	attractors	attractor	NOUN
ejpam-4547	167	9	.	.	PUNCT
ejpam-4547	168	1	chaos	chaos	NOUN
ejpam-4547	168	2	solit	solit	NOUN
ejpam-4547	168	3	.	.	PUNCT
ejpam-4547	169	1	fractals	fractal	NOUN
ejpam-4547	169	2	,	,	PUNCT
ejpam-4547	169	3	126:50–59	126:50–59	NUM
ejpam-4547	169	4	,	,	PUNCT
ejpam-4547	169	5	2019.231	2019.231	NUM
ejpam-4547	170	1	[	[	X
ejpam-4547	170	2	3	3	NUM
ejpam-4547	170	3	]	]	PUNCT
ejpam-4547	170	4	m.	m.	NOUN
ejpam-4547	170	5	j.	j.	PROPN
ejpam-4547	170	6	cano	cano	PROPN
ejpam-4547	170	7	,	,	PUNCT
ejpam-4547	170	8	e.	e.	PROPN
ejpam-4547	170	9	chacon	chacon	PROPN
ejpam-4547	170	10	-	-	PUNCT
ejpam-4547	170	11	vera	vera	NOUN
ejpam-4547	170	12	,	,	PUNCT
ejpam-4547	170	13	and	and	CCONJ
ejpam-4547	170	14	f.	f.	PROPN
ejpam-4547	170	15	esquembre	esquembre	PROPN
ejpam-4547	170	16	.	.	PUNCT
ejpam-4547	171	1	simulation	simulation	NOUN
ejpam-4547	171	2	of	of	ADP
ejpam-4547	171	3	partial	partial	ADJ
ejpam-4547	171	4	differential232	differential232	PROPN
ejpam-4547	171	5	equations	equation	NOUN
ejpam-4547	171	6	models	model	NOUN
ejpam-4547	171	7	in	in	ADP
ejpam-4547	171	8	java	java	PROPN
ejpam-4547	171	9	.	.	PUNCT
ejpam-4547	172	1	engineering	engineering	NOUN
ejpam-4547	172	2	computations	computation	NOUN
ejpam-4547	172	3	,	,	PUNCT
ejpam-4547	172	4	34:800–813	34:800–813	NUM
ejpam-4547	172	5	,	,	PUNCT
ejpam-4547	172	6	2017.233	2017.233	NUM
ejpam-4547	173	1	[	[	X
ejpam-4547	173	2	4	4	NUM
ejpam-4547	173	3	]	]	PUNCT
ejpam-4547	173	4	j.	j.	PROPN
ejpam-4547	173	5	chacon	chacon	PROPN
ejpam-4547	173	6	,	,	PUNCT
ejpam-4547	173	7	e.	e.	PROPN
ejpam-4547	173	8	besada	besada	PROPN
ejpam-4547	173	9	-	-	PUNCT
ejpam-4547	173	10	portas	porta	NOUN
ejpam-4547	173	11	,	,	PUNCT
ejpam-4547	173	12	g.	g.	PROPN
ejpam-4547	173	13	carazo	carazo	PROPN
ejpam-4547	173	14	-	-	PUNCT
ejpam-4547	173	15	barbero	barbero	PROPN
ejpam-4547	173	16	,	,	PUNCT
ejpam-4547	173	17	and	and	CCONJ
ejpam-4547	173	18	j.	j.	PROPN
ejpam-4547	173	19	a.	a.	PROPN
ejpam-4547	173	20	lopez	lopez	PROPN
ejpam-4547	173	21	-	-	PUNCT
ejpam-4547	173	22	orozco	orozco	PROPN
ejpam-4547	173	23	.	.	PUNCT
ejpam-4547	174	1	enhancing234	enhancing234	PROPN
ejpam-4547	174	2	ejss	ejss	NOUN
ejpam-4547	174	3	with	with	ADP
ejpam-4547	174	4	extension	extension	NOUN
ejpam-4547	174	5	plugins	plugin	NOUN
ejpam-4547	174	6	.	.	PUNCT
ejpam-4547	175	1	electronics	electronic	NOUN
ejpam-4547	175	2	,	,	PUNCT
ejpam-4547	175	3	10:1–22	10:1–22	NUM
ejpam-4547	175	4	,	,	PUNCT
ejpam-4547	175	5	2021.235	2021.235	PROPN
ejpam-4547	176	1	[	[	X
ejpam-4547	176	2	5	5	NUM
ejpam-4547	176	3	]	]	X
ejpam-4547	176	4	y.	y.	NOUN
ejpam-4547	176	5	chatibi	chatibi	PROPN
ejpam-4547	176	6	,	,	PUNCT
ejpam-4547	176	7	e.h	e.h	PROPN
ejpam-4547	176	8	.	.	PROPN
ejpam-4547	176	9	el	el	PROPN
ejpam-4547	176	10	kinani	kinani	PROPN
ejpam-4547	176	11	,	,	PUNCT
ejpam-4547	176	12	and	and	CCONJ
ejpam-4547	176	13	a.	a.	NOUN
ejpam-4547	176	14	ouhadan	ouhadan	PROPN
ejpam-4547	176	15	.	.	PUNCT
ejpam-4547	177	1	variational	variational	ADJ
ejpam-4547	177	2	calculus	calculus	NOUN
ejpam-4547	177	3	involving	involve	VERB
ejpam-4547	177	4	nonlocal236	nonlocal236	PROPN
ejpam-4547	177	5	fractional	fractional	ADJ
ejpam-4547	177	6	derivative	derivative	NOUN
ejpam-4547	177	7	with	with	ADP
ejpam-4547	177	8	mittag	mittag	ADJ
ejpam-4547	177	9	-	-	PUNCT
ejpam-4547	177	10	leffler	leffler	NOUN
ejpam-4547	177	11	kernel	kernel	NOUN
ejpam-4547	177	12	.	.	PUNCT
ejpam-4547	178	1	chaos	chaos	NOUN
ejpam-4547	178	2	,	,	PUNCT
ejpam-4547	178	3	solitons	soliton	NOUN
ejpam-4547	178	4	and	and	CCONJ
ejpam-4547	178	5	fractals	fractal	NOUN
ejpam-4547	178	6	,	,	PUNCT
ejpam-4547	178	7	118:117–237	118:117–237	NUM
ejpam-4547	178	8	121	121	NUM
ejpam-4547	178	9	,	,	PUNCT
ejpam-4547	178	10	2019.238	2019.238	NUM
ejpam-4547	179	1	[	[	X
ejpam-4547	179	2	6	6	NUM
ejpam-4547	179	3	]	]	X
ejpam-4547	179	4	y.	y.	NOUN
ejpam-4547	179	5	chatibi	chatibi	PROPN
ejpam-4547	179	6	and	and	CCONJ
ejpam-4547	179	7	el	el	PROPN
ejpam-4547	179	8	hassan	hassan	PROPN
ejpam-4547	179	9	el	el	PROPN
ejpam-4547	179	10	kinani	kinani	PROPN
ejpam-4547	179	11	.	.	PUNCT
ejpam-4547	180	1	lie	lie	PROPN
ejpam-4547	180	2	symmetry	symmetry	NOUN
ejpam-4547	180	3	analysis	analysis	NOUN
ejpam-4547	180	4	of	of	ADP
ejpam-4547	180	5	conformable	conformable	ADJ
ejpam-4547	180	6	differential239	differential239	PROPN
ejpam-4547	180	7	equations	equation	NOUN
ejpam-4547	180	8	.	.	PUNCT
ejpam-4547	181	1	aims	aim	VERB
ejpam-4547	181	2	mathematics	mathematic	NOUN
ejpam-4547	181	3	,	,	PUNCT
ejpam-4547	181	4	4:1133–1144	4:1133–1144	NUM
ejpam-4547	181	5	,	,	PUNCT
ejpam-4547	181	6	2019.240	2019.240	NUM
ejpam-4547	181	7	[	[	X
ejpam-4547	181	8	7	7	NUM
ejpam-4547	181	9	]	]	X
ejpam-4547	181	10	y.	y.	NOUN
ejpam-4547	181	11	chatibi	chatibi	PROPN
ejpam-4547	181	12	,	,	PUNCT
ejpam-4547	181	13	el	el	PROPN
ejpam-4547	181	14	hassan	hassan	PROPN
ejpam-4547	181	15	el	el	PROPN
ejpam-4547	181	16	kinani	kinani	PROPN
ejpam-4547	181	17	,	,	PUNCT
ejpam-4547	181	18	and	and	CCONJ
ejpam-4547	181	19	a.	a.	NOUN
ejpam-4547	181	20	ouhadan	ouhadan	PROPN
ejpam-4547	181	21	.	.	PUNCT
ejpam-4547	182	1	chapter	chapter	NOUN
ejpam-4547	182	2	one	one	NUM
ejpam-4547	182	3	continuous	continuous	ADJ
ejpam-4547	182	4	and241	and241	NOUN
ejpam-4547	182	5	discrete	discrete	NOUN
ejpam-4547	182	6	symmetry	symmetry	NOUN
ejpam-4547	182	7	methods	method	NOUN
ejpam-4547	182	8	for	for	ADP
ejpam-4547	182	9	fractional	fractional	ADJ
ejpam-4547	182	10	differential	differential	ADJ
ejpam-4547	182	11	equations.242	equations.242	NOUN
ejpam-4547	182	12	[	[	X
ejpam-4547	182	13	8	8	NUM
ejpam-4547	182	14	]	]	X
ejpam-4547	182	15	y.	y.	NOUN
ejpam-4547	182	16	chatibi	chatibi	PROPN
ejpam-4547	182	17	,	,	PUNCT
ejpam-4547	182	18	el	el	PROPN
ejpam-4547	182	19	hassan	hassan	PROPN
ejpam-4547	182	20	el	el	PROPN
ejpam-4547	182	21	kinani	kinani	PROPN
ejpam-4547	182	22	,	,	PUNCT
ejpam-4547	182	23	and	and	CCONJ
ejpam-4547	182	24	a.	a.	NOUN
ejpam-4547	182	25	ouhadan	ouhadan	PROPN
ejpam-4547	182	26	.	.	PROPN
ejpam-4547	183	1	lie	lie	PROPN
ejpam-4547	183	2	symmetry	symmetry	NOUN
ejpam-4547	183	3	analysis	analysis	NOUN
ejpam-4547	183	4	and243	and243	VERB
ejpam-4547	183	5	conservation	conservation	NOUN
ejpam-4547	183	6	laws	law	NOUN
ejpam-4547	183	7	for	for	ADP
ejpam-4547	183	8	the	the	DET
ejpam-4547	183	9	time	time	NOUN
ejpam-4547	183	10	fractional	fractional	ADJ
ejpam-4547	183	11	black	black	ADJ
ejpam-4547	183	12	-	-	PUNCT
ejpam-4547	183	13	scholes	schole	NOUN
ejpam-4547	183	14	equation	equation	NOUN
ejpam-4547	183	15	.	.	PUNCT
ejpam-4547	184	1	international	international	ADJ
ejpam-4547	184	2	journal244	journal244	PROPN
ejpam-4547	184	3	of	of	ADP
ejpam-4547	184	4	geometric	geometric	ADJ
ejpam-4547	184	5	methods	method	NOUN
ejpam-4547	184	6	in	in	ADP
ejpam-4547	184	7	modern	modern	ADJ
ejpam-4547	184	8	physics	physic	NOUN
ejpam-4547	184	9	,	,	PUNCT
ejpam-4547	184	10	17:1–14	17:1–14	NUM
ejpam-4547	184	11	,	,	PUNCT
ejpam-4547	184	12	2020.245	2020.245	PROPN
ejpam-4547	185	1	[	[	X
ejpam-4547	185	2	9	9	NUM
ejpam-4547	185	3	]	]	X
ejpam-4547	185	4	y.	y.	NOUN
ejpam-4547	185	5	chatibi	chatibi	PROPN
ejpam-4547	185	6	,	,	PUNCT
ejpam-4547	185	7	el	el	PROPN
ejpam-4547	185	8	hassan	hassan	PROPN
ejpam-4547	185	9	el	el	PROPN
ejpam-4547	185	10	kinani	kinani	PROPN
ejpam-4547	185	11	,	,	PUNCT
ejpam-4547	185	12	and	and	CCONJ
ejpam-4547	185	13	a.	a.	NOUN
ejpam-4547	185	14	ouhadan	ouhadan	PROPN
ejpam-4547	185	15	.	.	PUNCT
ejpam-4547	186	1	on	on	ADP
ejpam-4547	186	2	the	the	DET
ejpam-4547	186	3	discrete	discrete	ADJ
ejpam-4547	186	4	symmetry	symmetry	NOUN
ejpam-4547	186	5	analysis246	analysis246	PROPN
ejpam-4547	186	6	of	of	ADP
ejpam-4547	186	7	some	some	DET
ejpam-4547	186	8	classical	classical	ADJ
ejpam-4547	186	9	and	and	CCONJ
ejpam-4547	186	10	fractional	fractional	ADJ
ejpam-4547	186	11	differential	differential	ADJ
ejpam-4547	186	12	equations	equation	NOUN
ejpam-4547	186	13	.	.	PUNCT
ejpam-4547	187	1	mathematical	mathematical	ADJ
ejpam-4547	187	2	methods	method	NOUN
ejpam-4547	187	3	in	in	ADP
ejpam-4547	187	4	the247	the247	PROPN
ejpam-4547	187	5	applied	apply	VERB
ejpam-4547	187	6	sciences	science	NOUN
ejpam-4547	187	7	,	,	PUNCT
ejpam-4547	187	8	44:2868–2878	44:2868–2878	NUM
ejpam-4547	187	9	,	,	PUNCT
ejpam-4547	187	10	2021.248	2021.248	NUM
ejpam-4547	188	1	[	[	X
ejpam-4547	188	2	10	10	NUM
ejpam-4547	188	3	]	]	X
ejpam-4547	188	4	w.	w.	PROPN
ejpam-4547	188	5	chen	chen	PROPN
ejpam-4547	188	6	.	.	PUNCT
ejpam-4547	189	1	time	time	NOUN
ejpam-4547	189	2	-	-	PUNCT
ejpam-4547	189	3	space	space	NOUN
ejpam-4547	189	4	fabric	fabric	NOUN
ejpam-4547	189	5	underlying	underlie	VERB
ejpam-4547	189	6	anomalous	anomalous	ADJ
ejpam-4547	189	7	diffusion	diffusion	NOUN
ejpam-4547	189	8	.	.	PUNCT
ejpam-4547	190	1	chaos	chaos	NOUN
ejpam-4547	190	2	solit	solit	NOUN
ejpam-4547	190	3	.	.	PUNCT
ejpam-4547	191	1	fractals,249	fractals,249	PROPN
ejpam-4547	191	2	28:923–929	28:923–929	PROPN
ejpam-4547	191	3	,	,	PUNCT
ejpam-4547	191	4	2006.250	2006.250	NUM
ejpam-4547	192	1	[	[	PUNCT
ejpam-4547	192	2	11	11	NUM
ejpam-4547	192	3	]	]	PUNCT
ejpam-4547	192	4	w.	w.	PROPN
ejpam-4547	192	5	chen	chen	PROPN
ejpam-4547	192	6	.	.	PUNCT
ejpam-4547	193	1	fractional	fractional	ADJ
ejpam-4547	193	2	and	and	CCONJ
ejpam-4547	193	3	fractal	fractal	ADJ
ejpam-4547	193	4	derivatives	derivative	NOUN
ejpam-4547	193	5	modeling	modeling	NOUN
ejpam-4547	193	6	of	of	ADP
ejpam-4547	193	7	turbulence	turbulence	NOUN
ejpam-4547	193	8	.	.	PUNCT
ejpam-4547	194	1	arxiv	arxiv	PROPN
ejpam-4547	194	2	,	,	PUNCT
ejpam-4547	194	3	-	-	PUNCT
ejpam-4547	194	4	,	,	PUNCT
ejpam-4547	194	5	2015.251	2015.251	PROPN
ejpam-4547	195	1	[	[	X
ejpam-4547	195	2	12	12	NUM
ejpam-4547	195	3	]	]	PUNCT
ejpam-4547	195	4	w.	w.	PROPN
ejpam-4547	195	5	christian	christian	PROPN
ejpam-4547	195	6	and	and	CCONJ
ejpam-4547	195	7	f.	f.	PROPN
ejpam-4547	195	8	esquembre	esquembre	PROPN
ejpam-4547	195	9	.	.	PUNCT
ejpam-4547	196	1	modeling	model	VERB
ejpam-4547	196	2	physics	physics	NOUN
ejpam-4547	196	3	with	with	ADP
ejpam-4547	196	4	easy	easy	ADJ
ejpam-4547	196	5	java	java	NOUN
ejpam-4547	196	6	simulations	simulation	NOUN
ejpam-4547	196	7	.	.	PUNCT
ejpam-4547	197	1	the252	the252	PROPN
ejpam-4547	197	2	physics	physics	PROPN
ejpam-4547	197	3	teacher	teacher	NOUN
ejpam-4547	197	4	,	,	PUNCT
ejpam-4547	197	5	45:475–480	45:475–480	NUM
ejpam-4547	197	6	,	,	PUNCT
ejpam-4547	197	7	2007.253	2007.253	NUM
ejpam-4547	198	1	[	[	X
ejpam-4547	198	2	13	13	NUM
ejpam-4547	198	3	]	]	PUNCT
ejpam-4547	198	4	w.	w.	PROPN
ejpam-4547	198	5	christian	christian	PROPN
ejpam-4547	198	6	and	and	CCONJ
ejpam-4547	198	7	f.	f.	PROPN
ejpam-4547	198	8	esquembre	esquembre	PROPN
ejpam-4547	198	9	.	.	PUNCT
ejpam-4547	199	1	easy	easy	ADJ
ejpam-4547	199	2	java	java	PROPN
ejpam-4547	199	3	/	/	SYM
ejpam-4547	199	4	javascript	javascript	NOUN
ejpam-4547	199	5	simulations	simulation	NOUN
ejpam-4547	199	6	manual	manual	NOUN
ejpam-4547	199	7	.	.	PUNCT
ejpam-4547	200	1	-	-	PUNCT
ejpam-4547	200	2	,	,	PUNCT
ejpam-4547	200	3	2015.254	2015.254	NUM
ejpam-4547	200	4	references	reference	NOUN
ejpam-4547	200	5	1748	1748	NUM
ejpam-4547	200	6	[	[	X
ejpam-4547	200	7	14	14	NUM
ejpam-4547	200	8	]	]	X
ejpam-4547	200	9	w.	w.	PROPN
ejpam-4547	200	10	christian	christian	PROPN
ejpam-4547	200	11	,	,	PUNCT
ejpam-4547	200	12	f.	f.	PROPN
ejpam-4547	200	13	esquembre	esquembre	PROPN
ejpam-4547	200	14	,	,	PUNCT
ejpam-4547	200	15	and	and	CCONJ
ejpam-4547	200	16	l.	l.	PROPN
ejpam-4547	200	17	barbato	barbato	PROPN
ejpam-4547	200	18	.	.	PUNCT
ejpam-4547	201	1	open	open	ADJ
ejpam-4547	201	2	source	source	NOUN
ejpam-4547	201	3	physics	physics	NOUN
ejpam-4547	201	4	.	.	PUNCT
ejpam-4547	202	1	science,255	science,255	PROPN
ejpam-4547	202	2	334:1077–1078	334:1077–1078	NUM
ejpam-4547	202	3	,	,	PUNCT
ejpam-4547	202	4	2011.256	2011.256	PROPN
ejpam-4547	203	1	[	[	X
ejpam-4547	203	2	15	15	NUM
ejpam-4547	203	3	]	]	X
ejpam-4547	203	4	z.	z.	PROPN
ejpam-4547	203	5	dahmani	dahmani	PROPN
ejpam-4547	203	6	,	,	PUNCT
ejpam-4547	203	7	a.	a.	PROPN
ejpam-4547	203	8	anber	anber	PROPN
ejpam-4547	203	9	,	,	PUNCT
ejpam-4547	203	10	and	and	CCONJ
ejpam-4547	203	11	i.	i.	PROPN
ejpam-4547	203	12	jebril	jebril	NOUN
ejpam-4547	203	13	.	.	PUNCT
ejpam-4547	204	1	solving	solve	VERB
ejpam-4547	204	2	conformable	conformable	ADJ
ejpam-4547	204	3	evolution	evolution	NOUN
ejpam-4547	204	4	equations	equation	NOUN
ejpam-4547	204	5	by	by	ADP
ejpam-4547	204	6	an257	an257	NOUN
ejpam-4547	204	7	extended	extend	VERB
ejpam-4547	204	8	numerical	numerical	ADJ
ejpam-4547	204	9	method	method	NOUN
ejpam-4547	204	10	.	.	PUNCT
ejpam-4547	205	1	jordan	jordan	PROPN
ejpam-4547	205	2	j.	j.	PROPN
ejpam-4547	205	3	math	math	PROPN
ejpam-4547	205	4	.	.	PUNCT
ejpam-4547	206	1	stat	stat	PROPN
ejpam-4547	206	2	.	.	PUNCT
ejpam-4547	206	3	,	,	PUNCT
ejpam-4547	206	4	15:363–380	15:363–380	PROPN
ejpam-4547	206	5	,	,	PUNCT
ejpam-4547	206	6	2022.258	2022.258	NUM
ejpam-4547	206	7	[	[	X
ejpam-4547	206	8	16	16	NUM
ejpam-4547	206	9	]	]	X
ejpam-4547	206	10	f.	f.	PROPN
ejpam-4547	206	11	esquembre	esquembre	PROPN
ejpam-4547	206	12	.	.	PUNCT
ejpam-4547	207	1	easy	easy	ADJ
ejpam-4547	207	2	java	java	PROPN
ejpam-4547	207	3	simulations	simulation	NOUN
ejpam-4547	207	4	:	:	PUNCT
ejpam-4547	207	5	a	a	DET
ejpam-4547	207	6	software	software	NOUN
ejpam-4547	207	7	tool	tool	NOUN
ejpam-4547	207	8	to	to	PART
ejpam-4547	207	9	create	create	VERB
ejpam-4547	207	10	scientific	scientific	ADJ
ejpam-4547	207	11	simulations259	simulations259	PROPN
ejpam-4547	207	12	in	in	ADP
ejpam-4547	207	13	java	java	PROPN
ejpam-4547	207	14	.	.	PUNCT
ejpam-4547	208	1	computer	computer	NOUN
ejpam-4547	208	2	physics	physics	NOUN
ejpam-4547	208	3	communications	communication	NOUN
ejpam-4547	208	4	,	,	PUNCT
ejpam-4547	208	5	156(2):199–204	156(2):199–204	NUM
ejpam-4547	208	6	,	,	PUNCT
ejpam-4547	208	7	2004.260	2004.260	NUM
ejpam-4547	209	1	[	[	X
ejpam-4547	209	2	17	17	NUM
ejpam-4547	209	3	]	]	PUNCT
ejpam-4547	209	4	m.	m.	NOUN
ejpam-4547	209	5	gholamazad	gholamazad	PROPN
ejpam-4547	209	6	et	et	PROPN
ejpam-4547	209	7	al	al	PROPN
ejpam-4547	209	8	.	.	PROPN
ejpam-4547	209	9	predicting	predict	VERB
ejpam-4547	209	10	of	of	ADP
ejpam-4547	209	11	stroke	stroke	NOUN
ejpam-4547	209	12	risk	risk	NOUN
ejpam-4547	209	13	based	base	VERB
ejpam-4547	209	14	on	on	ADP
ejpam-4547	209	15	clinical	clinical	ADJ
ejpam-4547	209	16	symptoms	symptom	NOUN
ejpam-4547	209	17	using	use	VERB
ejpam-4547	209	18	the261	the261	ADJ
ejpam-4547	209	19	logistic	logistic	ADJ
ejpam-4547	209	20	regression	regression	NOUN
ejpam-4547	209	21	method	method	NOUN
ejpam-4547	209	22	.	.	PUNCT
ejpam-4547	210	1	int	int	NOUN
ejpam-4547	210	2	.	.	PUNCT
ejpam-4547	211	1	j.	j.	PROPN
ejpam-4547	211	2	industrial	industrial	PROPN
ejpam-4547	211	3	mathematics	mathematics	PROPN
ejpam-4547	211	4	,	,	PUNCT
ejpam-4547	211	5	14:209–218	14:209–218	NUM
ejpam-4547	211	6	,	,	PUNCT
ejpam-4547	211	7	2022.262	2022.262	NUM
ejpam-4547	211	8	[	[	SYM
ejpam-4547	211	9	18	18	NUM
ejpam-4547	211	10	]	]	PUNCT
ejpam-4547	211	11	m.	m.	NOUN
ejpam-4547	211	12	s.	s.	PROPN
ejpam-4547	211	13	alqarni	alqarni	PROPN
ejpam-4547	211	14	et	et	PROPN
ejpam-4547	211	15	al	al	PROPN
ejpam-4547	211	16	.	.	PROPN
ejpam-4547	211	17	mathematical	mathematical	ADJ
ejpam-4547	211	18	modeling	modeling	NOUN
ejpam-4547	211	19	for	for	ADP
ejpam-4547	211	20	novel	novel	ADJ
ejpam-4547	211	21	coronavirus	coronavirus	NOUN
ejpam-4547	211	22	(	(	PUNCT
ejpam-4547	211	23	covid-19	covid-19	PROPN
ejpam-4547	211	24	)	)	PUNCT
ejpam-4547	211	25	and263	and263	PROPN
ejpam-4547	211	26	control	control	NOUN
ejpam-4547	211	27	.	.	PUNCT
ejpam-4547	212	1	numer	numer	PROPN
ejpam-4547	212	2	methods	method	NOUN
ejpam-4547	212	3	partial	partial	ADJ
ejpam-4547	212	4	differential	differential	NOUN
ejpam-4547	212	5	eq	eq	ADP
ejpam-4547	212	6	.	.	PROPN
ejpam-4547	212	7	,	,	PUNCT
ejpam-4547	212	8	38:760–776	38:760–776	PROPN
ejpam-4547	212	9	,	,	PUNCT
ejpam-4547	212	10	2020.264	2020.264	NUM
ejpam-4547	212	11	[	[	X
ejpam-4547	212	12	19	19	NUM
ejpam-4547	212	13	]	]	PUNCT
ejpam-4547	212	14	z.hua	z.hua	PROPN
ejpam-4547	212	15	shen	shen	PROPN
ejpam-4547	212	16	et	et	PROPN
ejpam-4547	212	17	al	al	PROPN
ejpam-4547	212	18	.	.	PROPN
ejpam-4547	212	19	mathematical	mathematical	ADJ
ejpam-4547	212	20	modeling	modeling	NOUN
ejpam-4547	212	21	and	and	CCONJ
ejpam-4547	212	22	optimal	optimal	ADJ
ejpam-4547	212	23	control	control	NOUN
ejpam-4547	212	24	of	of	ADP
ejpam-4547	212	25	the	the	DET
ejpam-4547	212	26	covid-19	covid-19	PROPN
ejpam-4547	212	27	dy-265	dy-265	NOUN
ejpam-4547	212	28	namics	namic	NOUN
ejpam-4547	212	29	.	.	PUNCT
ejpam-4547	213	1	results	result	NOUN
ejpam-4547	213	2	in	in	ADP
ejpam-4547	213	3	physics	physics	NOUN
ejpam-4547	213	4	,	,	PUNCT
ejpam-4547	213	5	31:105028	31:105028	NUM
ejpam-4547	213	6	,	,	PUNCT
ejpam-4547	213	7	2021.266	2021.266	NUM
ejpam-4547	214	1	[	[	X
ejpam-4547	214	2	20	20	NUM
ejpam-4547	214	3	]	]	X
ejpam-4547	214	4	a.k	a.k	PROPN
ejpam-4547	214	5	.	.	PROPN
ejpam-4547	214	6	golmankhaneh	golmankhaneh	PROPN
ejpam-4547	214	7	and	and	CCONJ
ejpam-4547	214	8	d.	d.	PROPN
ejpam-4547	214	9	baleanu	baleanu	PROPN
ejpam-4547	214	10	.	.	PUNCT
ejpam-4547	215	1	on	on	ADP
ejpam-4547	215	2	nonlinear	nonlinear	PROPN
ejpam-4547	215	3	fractional	fractional	PROPN
ejpam-4547	215	4	klein	klein	PROPN
ejpam-4547	215	5	–	–	PUNCT
ejpam-4547	215	6	gordon	gordon	PROPN
ejpam-4547	215	7	equation.267	equation.267	PROPN
ejpam-4547	215	8	sign	sign	PROPN
ejpam-4547	215	9	.	.	PUNCT
ejpam-4547	215	10	process	process	NOUN
ejpam-4547	215	11	.	.	PUNCT
ejpam-4547	216	1	,	,	PUNCT
ejpam-4547	216	2	91:446–451	91:446–451	NUM
ejpam-4547	216	3	,	,	PUNCT
ejpam-4547	216	4	2011.268	2011.268	NUM
ejpam-4547	216	5	[	[	X
ejpam-4547	216	6	21	21	NUM
ejpam-4547	216	7	]	]	PUNCT
ejpam-4547	216	8	m.	m.	NOUN
ejpam-4547	216	9	al	al	PROPN
ejpam-4547	216	10	horani	horani	PROPN
ejpam-4547	216	11	,	,	PUNCT
ejpam-4547	216	12	a.	a.	NOUN
ejpam-4547	216	13	yousef	yousef	PROPN
ejpam-4547	216	14	,	,	PUNCT
ejpam-4547	216	15	and	and	CCONJ
ejpam-4547	216	16	m.	m.	NOUN
ejpam-4547	216	17	sababheh	sababheh	NOUN
ejpam-4547	216	18	.	.	PUNCT
ejpam-4547	217	1	a	a	DET
ejpam-4547	217	2	new	new	ADJ
ejpam-4547	217	3	definition	definition	NOUN
ejpam-4547	217	4	of	of	ADP
ejpam-4547	217	5	fractional	fractional	PROPN
ejpam-4547	217	6	derivative.269	derivative.269	PROPN
ejpam-4547	217	7	j.	j.	PROPN
ejpam-4547	217	8	comput	comput	PROPN
ejpam-4547	217	9	.	.	PUNCT
ejpam-4547	218	1	appl	appl	PROPN
ejpam-4547	218	2	.	.	PROPN
ejpam-4547	218	3	math	math	PROPN
ejpam-4547	218	4	.	.	PUNCT
ejpam-4547	218	5	,	,	PUNCT
ejpam-4547	218	6	264:65–70	264:65–70	NUM
ejpam-4547	218	7	,	,	PUNCT
ejpam-4547	219	1	2014.270	2014.270	PROPN
ejpam-4547	219	2	[	[	X
ejpam-4547	219	3	22	22	NUM
ejpam-4547	219	4	]	]	PUNCT
ejpam-4547	219	5	k.	k.	PROPN
ejpam-4547	219	6	hosseini	hosseini	PROPN
ejpam-4547	219	7	,	,	PUNCT
ejpam-4547	219	8	a.	a.	NOUN
ejpam-4547	219	9	bekir	bekir	PROPN
ejpam-4547	219	10	,	,	PUNCT
ejpam-4547	219	11	m.	m.	PROPN
ejpam-4547	219	12	kaplan	kaplan	PROPN
ejpam-4547	219	13	,	,	PUNCT
ejpam-4547	219	14	and	and	CCONJ
ejpam-4547	219	15	o.	o.	ADJ
ejpam-4547	219	16	guner	guner	NOUN
ejpam-4547	219	17	.	.	PUNCT
ejpam-4547	220	1	on	on	ADP
ejpam-4547	220	2	a	a	DET
ejpam-4547	220	3	new	new	ADJ
ejpam-4547	220	4	technique	technique	NOUN
ejpam-4547	220	5	for	for	ADP
ejpam-4547	220	6	solving	solve	VERB
ejpam-4547	220	7	the271	the271	NOUN
ejpam-4547	220	8	nonlinear	nonlinear	ADJ
ejpam-4547	220	9	conformable	conformable	ADJ
ejpam-4547	220	10	time	time	NOUN
ejpam-4547	220	11	-	-	PUNCT
ejpam-4547	220	12	fractional	fractional	ADJ
ejpam-4547	220	13	differential	differential	ADJ
ejpam-4547	220	14	equations	equation	NOUN
ejpam-4547	220	15	.	.	PUNCT
ejpam-4547	221	1	opt	opt	PROPN
ejpam-4547	221	2	.	.	PUNCT
ejpam-4547	222	1	quant	quant	PROPN
ejpam-4547	222	2	.	.	PUNCT
ejpam-4547	223	1	electron,272	electron,272	PROPN
ejpam-4547	224	1	49:1–12	49:1–12	NUM
ejpam-4547	224	2	,	,	PUNCT
ejpam-4547	224	3	2017.273	2017.273	NUM
ejpam-4547	225	1	[	[	X
ejpam-4547	225	2	23	23	NUM
ejpam-4547	225	3	]	]	X
ejpam-4547	225	4	fu	fu	ADJ
ejpam-4547	225	5	-	-	PUNCT
ejpam-4547	225	6	kwun	kwun	PROPN
ejpam-4547	225	7	hwang	hwang	PROPN
ejpam-4547	225	8	and	and	CCONJ
ejpam-4547	225	9	f.	f.	PROPN
ejpam-4547	225	10	esquembre	esquembre	PROPN
ejpam-4547	225	11	.	.	PUNCT
ejpam-4547	226	1	easy	easy	ADJ
ejpam-4547	226	2	java	java	PROPN
ejpam-4547	226	3	simulations	simulation	NOUN
ejpam-4547	226	4	:	:	PUNCT
ejpam-4547	226	5	an	an	DET
ejpam-4547	226	6	interactive	interactive	ADJ
ejpam-4547	226	7	science274	science274	NOUN
ejpam-4547	226	8	learning	learning	NOUN
ejpam-4547	226	9	tool	tool	NOUN
ejpam-4547	226	10	.	.	PUNCT
ejpam-4547	227	1	the	the	DET
ejpam-4547	227	2	interactive	interactive	ADJ
ejpam-4547	227	3	multimedia	multimedia	NOUN
ejpam-4547	227	4	electronic	electronic	ADJ
ejpam-4547	227	5	journal	journal	NOUN
ejpam-4547	227	6	of	of	ADP
ejpam-4547	227	7	computer	computer	NOUN
ejpam-4547	227	8	-	-	PUNCT
ejpam-4547	227	9	enhanced275	enhanced275	PROPN
ejpam-4547	227	10	learning	learning	NOUN
ejpam-4547	227	11	,	,	PUNCT
ejpam-4547	227	12	5	5	NUM
ejpam-4547	227	13	:	:	PUNCT
ejpam-4547	227	14	–	–	PUNCT
ejpam-4547	227	15	,	,	PUNCT
ejpam-4547	227	16	2003.276	2003.276	NUM
ejpam-4547	228	1	[	[	X
ejpam-4547	228	2	24	24	NUM
ejpam-4547	228	3	]	]	X
ejpam-4547	228	4	abu	abu	PROPN
ejpam-4547	228	5	hammad	hammad	PROPN
ejpam-4547	228	6	i.	i.	PROPN
ejpam-4547	228	7	and	and	CCONJ
ejpam-4547	228	8	roshdi	roshdi	PROPN
ejpam-4547	228	9	r.	r.	PROPN
ejpam-4547	228	10	khalil	khalil	PROPN
ejpam-4547	228	11	.	.	PUNCT
ejpam-4547	229	1	fractional	fractional	ADJ
ejpam-4547	229	2	fourier	fourier	PROPN
ejpam-4547	229	3	series	series	NOUN
ejpam-4547	229	4	with	with	ADP
ejpam-4547	229	5	applications.277	applications.277	PROPN
ejpam-4547	229	6	am	be	AUX
ejpam-4547	229	7	.	.	PUNCT
ejpam-4547	230	1	j.	j.	PROPN
ejpam-4547	230	2	comput	comput	PROPN
ejpam-4547	230	3	.	.	PUNCT
ejpam-4547	231	1	math	math	NOUN
ejpam-4547	231	2	.	.	PUNCT
ejpam-4547	231	3	,	,	PUNCT
ejpam-4547	232	1	4:187–191	4:187–191	PROPN
ejpam-4547	232	2	,	,	PUNCT
ejpam-4547	232	3	2014.278	2014.278	PROPN
ejpam-4547	232	4	[	[	X
ejpam-4547	232	5	25	25	NUM
ejpam-4547	232	6	]	]	PUNCT
ejpam-4547	232	7	m.	m.	PROPN
ejpam-4547	232	8	inc	inc	PROPN
ejpam-4547	232	9	,	,	PUNCT
ejpam-4547	232	10	h.	h.	PROPN
ejpam-4547	232	11	rezazadeh	rezazadeh	PROPN
ejpam-4547	232	12	,	,	PUNCT
ejpam-4547	232	13	j.	j.	PROPN
ejpam-4547	232	14	vahidi	vahidi	PROPN
ejpam-4547	232	15	,	,	PUNCT
ejpam-4547	232	16	m.	m.	NOUN
ejpam-4547	232	17	eslami	eslami	NOUN
ejpam-4547	232	18	,	,	PUNCT
ejpam-4547	232	19	m.a	m.a	PROPN
ejpam-4547	232	20	.	.	PROPN
ejpam-4547	232	21	akinlar	akinlar	PROPN
ejpam-4547	232	22	,	,	PUNCT
ejpam-4547	232	23	m.	m.	PROPN
ejpam-4547	232	24	nasir	nasir	PROPN
ejpam-4547	232	25	ali	ali	PROPN
ejpam-4547	232	26	,	,	PUNCT
ejpam-4547	232	27	and	and	CCONJ
ejpam-4547	232	28	y.m.279	y.m.279	PROPN
ejpam-4547	232	29	chu	chu	PROPN
ejpam-4547	232	30	.	.	PUNCT
ejpam-4547	233	1	new	new	ADJ
ejpam-4547	233	2	solitary	solitary	ADJ
ejpam-4547	233	3	wave	wave	NOUN
ejpam-4547	233	4	solutions	solution	NOUN
ejpam-4547	233	5	for	for	ADP
ejpam-4547	233	6	the	the	DET
ejpam-4547	233	7	conformable	conformable	ADJ
ejpam-4547	233	8	klein	klein	PROPN
ejpam-4547	233	9	-	-	PUNCT
ejpam-4547	233	10	gordon	gordon	PROPN
ejpam-4547	233	11	equation	equation	NOUN
ejpam-4547	233	12	with280	with280	PROPN
ejpam-4547	233	13	quantic	quantic	ADJ
ejpam-4547	233	14	nonlinearity	nonlinearity	NOUN
ejpam-4547	233	15	.	.	PUNCT
ejpam-4547	234	1	aims	aim	VERB
ejpam-4547	234	2	mathematics	mathematic	NOUN
ejpam-4547	234	3	,	,	PUNCT
ejpam-4547	234	4	5:6972–6984	5:6972–6984	NUM
ejpam-4547	234	5	,	,	PUNCT
ejpam-4547	234	6	2020.281	2020.281	PROPN
ejpam-4547	234	7	[	[	X
ejpam-4547	234	8	26	26	NUM
ejpam-4547	234	9	]	]	PUNCT
ejpam-4547	234	10	a.	a.	NOUN
ejpam-4547	234	11	a.	a.	NOUN
ejpam-4547	234	12	kilbas	kilbas	PROPN
ejpam-4547	234	13	,	,	PUNCT
ejpam-4547	234	14	h.	h.	PROPN
ejpam-4547	234	15	m.	m.	PROPN
ejpam-4547	234	16	srivastava	srivastava	PROPN
ejpam-4547	234	17	,	,	PUNCT
ejpam-4547	234	18	and	and	CCONJ
ejpam-4547	234	19	j.	j.	PROPN
ejpam-4547	234	20	j.	j.	PROPN
ejpam-4547	234	21	trujillo	trujillo	PROPN
ejpam-4547	234	22	.	.	PUNCT
ejpam-4547	234	23	theory	theory	NOUN
ejpam-4547	234	24	and	and	CCONJ
ejpam-4547	234	25	applications	application	NOUN
ejpam-4547	234	26	of	of	ADP
ejpam-4547	234	27	frac-282	frac-282	ADJ
ejpam-4547	234	28	tional	tional	PROPN
ejpam-4547	234	29	differential	differential	PROPN
ejpam-4547	234	30	equations	equation	NOUN
ejpam-4547	234	31	.	.	PUNCT
ejpam-4547	235	1	elsevier	elsevier	PROPN
ejpam-4547	235	2	,	,	PUNCT
ejpam-4547	235	3	amsterdam	amsterdam	PROPN
ejpam-4547	235	4	,	,	PUNCT
ejpam-4547	235	5	2006.283	2006.283	NUM
ejpam-4547	235	6	[	[	X
ejpam-4547	235	7	27	27	NUM
ejpam-4547	235	8	]	]	X
ejpam-4547	235	9	v.	v.	X
ejpam-4547	235	10	kiryakova	kiryakova	X
ejpam-4547	235	11	.	.	PUNCT
ejpam-4547	236	1	generalized	generalize	VERB
ejpam-4547	236	2	fractional	fractional	ADJ
ejpam-4547	236	3	calculus	calculus	NOUN
ejpam-4547	236	4	and	and	CCONJ
ejpam-4547	236	5	applications	application	NOUN
ejpam-4547	236	6	.	.	PUNCT
ejpam-4547	237	1	longman	longman	NOUN
ejpam-4547	237	2	and	and	CCONJ
ejpam-4547	237	3	j.284	j.284	PROPN
ejpam-4547	237	4	wiley	wiley	PROPN
ejpam-4547	237	5	,	,	PUNCT
ejpam-4547	237	6	new	new	PROPN
ejpam-4547	237	7	york	york	PROPN
ejpam-4547	237	8	,	,	PUNCT
ejpam-4547	237	9	1994.285	1994.285	NUM
ejpam-4547	238	1	[	[	X
ejpam-4547	238	2	28	28	NUM
ejpam-4547	238	3	]	]	X
ejpam-4547	238	4	r.	r.	PROPN
ejpam-4547	238	5	pashaei	pashaei	PROPN
ejpam-4547	238	6	,	,	PUNCT
ejpam-4547	238	7	m.	m.	NOUN
ejpam-4547	238	8	s.	s.	PROPN
ejpam-4547	238	9	asgari	asgari	PROPN
ejpam-4547	238	10	,	,	PUNCT
ejpam-4547	238	11	and	and	CCONJ
ejpam-4547	238	12	a.	a.	NOUN
ejpam-4547	238	13	pishkoo	pishkoo	NOUN
ejpam-4547	238	14	.	.	PUNCT
ejpam-4547	239	1	conformable	conformable	ADJ
ejpam-4547	239	2	derivatives	derivative	NOUN
ejpam-4547	239	3	in	in	ADP
ejpam-4547	239	4	laplace	laplace	NOUN
ejpam-4547	239	5	equation286	equation286	PROPN
ejpam-4547	239	6	and	and	CCONJ
ejpam-4547	239	7	fractional	fractional	ADJ
ejpam-4547	239	8	fourier	fourier	NOUN
ejpam-4547	239	9	series	series	NOUN
ejpam-4547	239	10	solution	solution	NOUN
ejpam-4547	239	11	.	.	PUNCT
ejpam-4547	240	1	int	int	NOUN
ejpam-4547	240	2	.	.	PUNCT
ejpam-4547	241	1	ann	ann	PROPN
ejpam-4547	241	2	.	.	PUNCT
ejpam-4547	242	1	sci	sci	PROPN
ejpam-4547	242	2	.	.	PROPN
ejpam-4547	242	3	,	,	PUNCT
ejpam-4547	242	4	9:1–7	9:1–7	NUM
ejpam-4547	242	5	,	,	PUNCT
ejpam-4547	242	6	2019.287	2019.287	NUM
ejpam-4547	242	7	references	reference	NOUN
ejpam-4547	242	8	1749	1749	NUM
ejpam-4547	242	9	[	[	X
ejpam-4547	242	10	29	29	NUM
ejpam-4547	242	11	]	]	PUNCT
ejpam-4547	242	12	i.	i.	NOUN
ejpam-4547	242	13	podlubny	podlubny	PROPN
ejpam-4547	242	14	.	.	PUNCT
ejpam-4547	243	1	tfractional	tfractional	ADJ
ejpam-4547	243	2	differential	differential	PROPN
ejpam-4547	243	3	equations	equation	NOUN
ejpam-4547	243	4	.	.	PUNCT
ejpam-4547	244	1	academic	academic	ADJ
ejpam-4547	244	2	press	press	NOUN
ejpam-4547	244	3	,	,	PUNCT
ejpam-4547	244	4	san	san	PROPN
ejpam-4547	244	5	diego	diego	PROPN
ejpam-4547	244	6	,	,	PUNCT
ejpam-4547	244	7	1998.288	1998.288	NUM
ejpam-4547	244	8	[	[	SYM
ejpam-4547	244	9	30	30	NUM
ejpam-4547	244	10	]	]	X
ejpam-4547	244	11	h.	h.	PROPN
ejpam-4547	244	12	rezazadeh	rezazadeh	PROPN
ejpam-4547	244	13	,	,	PUNCT
ejpam-4547	244	14	a.	a.	NOUN
ejpam-4547	244	15	kurt	kurt	PROPN
ejpam-4547	244	16	,	,	PUNCT
ejpam-4547	244	17	a.	a.	NOUN
ejpam-4547	244	18	tozar	tozar	NOUN
ejpam-4547	244	19	,	,	PUNCT
ejpam-4547	244	20	o.	o.	PROPN
ejpam-4547	244	21	tasbozan	tasbozan	NOUN
ejpam-4547	244	22	,	,	PUNCT
ejpam-4547	244	23	and	and	CCONJ
ejpam-4547	244	24	s.m	s.m	PROPN
ejpam-4547	244	25	.	.	PROPN
ejpam-4547	244	26	mirhosseini	mirhosseini	PROPN
ejpam-4547	244	27	-	-	PUNCT
ejpam-4547	244	28	alizamini.289	alizamini.289	ADJ
ejpam-4547	244	29	wave	wave	NOUN
ejpam-4547	244	30	behaviors	behavior	NOUN
ejpam-4547	244	31	of	of	ADP
ejpam-4547	244	32	kundu	kundu	NOUN
ejpam-4547	244	33	-	-	PUNCT
ejpam-4547	244	34	mukherjee	mukherjee	NOUN
ejpam-4547	244	35	-	-	PUNCT
ejpam-4547	244	36	naskar	naskar	NOUN
ejpam-4547	244	37	model	model	NOUN
ejpam-4547	244	38	arising	arise	VERB
ejpam-4547	244	39	in	in	ADP
ejpam-4547	244	40	optical	optical	ADJ
ejpam-4547	244	41	fiber	fiber	NOUN
ejpam-4547	244	42	communi-290	communi-290	ADJ
ejpam-4547	244	43	cation	cation	NOUN
ejpam-4547	244	44	systems	system	NOUN
ejpam-4547	244	45	with	with	ADP
ejpam-4547	244	46	complex	complex	ADJ
ejpam-4547	244	47	structure	structure	NOUN
ejpam-4547	244	48	.	.	PUNCT
ejpam-4547	245	1	optical	optical	ADJ
ejpam-4547	245	2	and	and	CCONJ
ejpam-4547	245	3	quantum	quantum	NOUN
ejpam-4547	245	4	electronics	electronic	NOUN
ejpam-4547	245	5	,	,	PUNCT
ejpam-4547	245	6	53:1–11,291	53:1–11,291	PROPN
ejpam-4547	246	1	2021.292	2021.292	NUM
ejpam-4547	246	2	[	[	X
ejpam-4547	246	3	31	31	NUM
ejpam-4547	246	4	]	]	PUNCT
ejpam-4547	246	5	s.	s.	PROPN
ejpam-4547	246	6	g.	g.	PROPN
ejpam-4547	246	7	samko	samko	PROPN
ejpam-4547	246	8	,	,	PUNCT
ejpam-4547	246	9	a.	a.	NOUN
ejpam-4547	246	10	a.	a.	NOUN
ejpam-4547	246	11	kilbas	kilbas	PROPN
ejpam-4547	246	12	,	,	PUNCT
ejpam-4547	246	13	and	and	CCONJ
ejpam-4547	246	14	o.	o.	PROPN
ejpam-4547	246	15	i.	i.	PROPN
ejpam-4547	246	16	marichev	marichev	PROPN
ejpam-4547	246	17	.	.	PUNCT
ejpam-4547	247	1	fractional	fractional	ADJ
ejpam-4547	247	2	integrals	integral	NOUN
ejpam-4547	247	3	and	and	CCONJ
ejpam-4547	247	4	derivatives293	derivatives293	NOUN
ejpam-4547	247	5	theory	theory	NOUN
ejpam-4547	247	6	and	and	CCONJ
ejpam-4547	247	7	applications	application	NOUN
ejpam-4547	247	8	.	.	PUNCT
ejpam-4547	248	1	gordon	gordon	PROPN
ejpam-4547	248	2	and	and	CCONJ
ejpam-4547	248	3	breach	breach	PROPN
ejpam-4547	248	4	,	,	PUNCT
ejpam-4547	248	5	new	new	PROPN
ejpam-4547	248	6	york	york	PROPN
ejpam-4547	248	7	,	,	PUNCT
ejpam-4547	248	8	1993.294	1993.294	NUM
ejpam-4547	248	9	[	[	X
ejpam-4547	248	10	32	32	NUM
ejpam-4547	248	11	]	]	PUNCT
ejpam-4547	248	12	v.	v.	PROPN
ejpam-4547	248	13	e.	e.	PROPN
ejpam-4547	248	14	tarasov	tarasov	PROPN
ejpam-4547	248	15	.	.	PUNCT
ejpam-4547	249	1	no	no	DET
ejpam-4547	249	2	nonlocality	nonlocality	NOUN
ejpam-4547	249	3	no	no	DET
ejpam-4547	249	4	fractional	fractional	ADJ
ejpam-4547	249	5	derivative	derivative	NOUN
ejpam-4547	249	6	.	.	PUNCT
ejpam-4547	250	1	commun	commun	PROPN
ejpam-4547	250	2	.	.	PUNCT
ejpam-4547	251	1	nonlinear	nonlinear	PROPN
ejpam-4547	251	2	.	.	PUNCT
ejpam-4547	252	1	sci.295	sci.295	PROPN
ejpam-4547	252	2	numer	numer	PROPN
ejpam-4547	252	3	.	.	PUNCT
ejpam-4547	253	1	simul	simul	PROPN
ejpam-4547	253	2	.	.	PROPN
ejpam-4547	253	3	,	,	PUNCT
ejpam-4547	253	4	62:157–163	62:157–163	NUM
ejpam-4547	253	5	,	,	PUNCT
ejpam-4547	253	6	2018.296	2018.296	NUM
ejpam-4547	254	1	[	[	X
ejpam-4547	254	2	33	33	NUM
ejpam-4547	254	3	]	]	X
ejpam-4547	254	4	m.h	m.h	PROPN
ejpam-4547	254	5	.	.	PUNCT
ejpam-4547	254	6	uddin	uddin	PROPN
ejpam-4547	254	7	,	,	PUNCT
ejpam-4547	254	8	m.a	m.a	PROPN
ejpam-4547	254	9	.	.	PROPN
ejpam-4547	254	10	arefin	arefin	PROPN
ejpam-4547	254	11	,	,	PUNCT
ejpam-4547	254	12	m.	m.	NOUN
ejpam-4547	254	13	ali	ali	PROPN
ejpam-4547	254	14	akbar	akbar	PROPN
ejpam-4547	254	15	,	,	PUNCT
ejpam-4547	254	16	and	and	CCONJ
ejpam-4547	254	17	m.	m.	PROPN
ejpam-4547	254	18	inc	inc	PROPN
ejpam-4547	254	19	.	.	PROPN
ejpam-4547	255	1	new	new	ADJ
ejpam-4547	255	2	explicit	explicit	ADJ
ejpam-4547	255	3	solutions297	solutions297	PROPN
ejpam-4547	255	4	to	to	ADP
ejpam-4547	255	5	the	the	DET
ejpam-4547	255	6	fractional	fractional	ADJ
ejpam-4547	255	7	-	-	PUNCT
ejpam-4547	255	8	order	order	NOUN
ejpam-4547	255	9	burgers	burger	NOUN
ejpam-4547	255	10	equation	equation	NOUN
ejpam-4547	255	11	.	.	PUNCT
ejpam-4547	256	1	mathematical	mathematical	ADJ
ejpam-4547	256	2	problems	problem	NOUN
ejpam-4547	256	3	in	in	ADP
ejpam-4547	256	4	engineering,298	engineering,298	PROPN
ejpam-4547	256	5	2021:6698028	2021:6698028	NUM
ejpam-4547	256	6	,	,	PUNCT
ejpam-4547	256	7	11	11	NUM
ejpam-4547	256	8	pages	page	NOUN
ejpam-4547	256	9	,	,	PUNCT
ejpam-4547	256	10	2021.299	2021.299	PROPN
ejpam-4547	257	1	[	[	X
ejpam-4547	257	2	34	34	NUM
ejpam-4547	257	3	]	]	X
ejpam-4547	257	4	e.	e.	PROPN
ejpam-4547	257	5	ünala	ünala	PROPN
ejpam-4547	257	6	and	and	CCONJ
ejpam-4547	257	7	a.	a.	NOUN
ejpam-4547	257	8	gökdoǧanb	gökdoǧanb	PROPN
ejpam-4547	257	9	.	.	PUNCT
ejpam-4547	258	1	solution	solution	NOUN
ejpam-4547	258	2	of	of	ADP
ejpam-4547	258	3	conformable	conformable	ADJ
ejpam-4547	258	4	fractional	fractional	ADJ
ejpam-4547	258	5	ordinary	ordinary	ADJ
ejpam-4547	258	6	differential300	differential300	PROPN
ejpam-4547	258	7	equations	equation	NOUN
ejpam-4547	258	8	via	via	ADP
ejpam-4547	258	9	differential	differential	ADJ
ejpam-4547	258	10	transform	transform	NOUN
ejpam-4547	258	11	method	method	NOUN
ejpam-4547	258	12	.	.	PUNCT
ejpam-4547	259	1	optik	optik	PROPN
ejpam-4547	259	2	,	,	PUNCT
ejpam-4547	259	3	128:264–273	128:264–273	NUM
ejpam-4547	259	4	,	,	PUNCT
ejpam-4547	259	5	2017.301	2017.301	NUM
ejpam-4547	259	6	[	[	X
ejpam-4547	259	7	35	35	NUM
ejpam-4547	259	8	]	]	X
ejpam-4547	259	9	d.	d.	PROPN
ejpam-4547	259	10	zhao	zhao	PROPN
ejpam-4547	259	11	and	and	CCONJ
ejpam-4547	259	12	m.	m.	PROPN
ejpam-4547	259	13	luo	luo	PROPN
ejpam-4547	259	14	.	.	PROPN
ejpam-4547	260	1	general	general	ADJ
ejpam-4547	260	2	conformable	conformable	ADJ
ejpam-4547	260	3	fractional	fractional	ADJ
ejpam-4547	260	4	derivative	derivative	NOUN
ejpam-4547	260	5	and	and	CCONJ
ejpam-4547	260	6	its	its	PRON
ejpam-4547	260	7	physical302	physical302	PROPN
ejpam-4547	260	8	interpretation	interpretation	NOUN
ejpam-4547	260	9	.	.	PUNCT
ejpam-4547	261	1	calcolo	calcolo	PROPN
ejpam-4547	261	2	,	,	PUNCT
ejpam-4547	261	3	54:903–917	54:903–917	PROPN
ejpam-4547	261	4	,	,	PUNCT
ejpam-4547	261	5	2017.303	2017.303	NUM
ejpam-4547	261	6	[	[	X
ejpam-4547	261	7	36	36	NUM
ejpam-4547	261	8	]	]	X
ejpam-4547	261	9	h.w	h.w	PROPN
ejpam-4547	261	10	.	.	PUNCT
ejpam-4547	261	11	zhou	zhou	PROPN
ejpam-4547	261	12	,	,	PUNCT
ejpam-4547	261	13	s.	s.	PROPN
ejpam-4547	261	14	yang	yang	PROPN
ejpam-4547	261	15	,	,	PUNCT
ejpam-4547	261	16	and	and	CCONJ
ejpam-4547	261	17	s.q	s.q	PROPN
ejpam-4547	261	18	.	.	PROPN
ejpam-4547	261	19	zhang	zhang	PROPN
ejpam-4547	261	20	.	.	PUNCT
ejpam-4547	262	1	conformable	conformable	ADJ
ejpam-4547	262	2	derivative	derivative	ADJ
ejpam-4547	262	3	approach	approach	NOUN
ejpam-4547	262	4	to	to	ADP
ejpam-4547	262	5	anomalous304	anomalous304	PROPN
ejpam-4547	262	6	diffusion	diffusion	PROPN
ejpam-4547	262	7	.	.	PUNCT
ejpam-4547	263	1	physica	physica	PROPN
ejpam-4547	263	2	a	a	PRON
ejpam-4547	263	3	,	,	PUNCT
ejpam-4547	263	4	491:1001–1013	491:1001–1013	NOUN
ejpam-4547	263	5	,	,	PUNCT
ejpam-4547	263	6	2018.305	2018.305	NOUN