id	sid	tid	token	lemma	pos
ejpam-5793	1	1	european	european	PROPN
ejpam-5793	1	2	journal	journal	PROPN
ejpam-5793	1	3	of	of	ADP
ejpam-5793	1	4	pure	pure	ADJ
ejpam-5793	1	5	and	and	CCONJ
ejpam-5793	1	6	applied	applied	ADJ
ejpam-5793	1	7	mathematics	mathematic	NOUN
ejpam-5793	1	8	2025	2025	NUM
ejpam-5793	1	9	,	,	PUNCT
ejpam-5793	1	10	vol	vol	NOUN
ejpam-5793	1	11	.	.	PROPN
ejpam-5793	1	12	18	18	NUM
ejpam-5793	1	13	,	,	PUNCT
ejpam-5793	1	14	issue	issue	NOUN
ejpam-5793	1	15	1	1	NUM
ejpam-5793	1	16	,	,	PUNCT
ejpam-5793	1	17	article	article	NOUN
ejpam-5793	1	18	number	number	NOUN
ejpam-5793	1	19	5793	5793	NUM
ejpam-5793	1	20	issn	issn	PROPN
ejpam-5793	1	21	1307	1307	NUM
ejpam-5793	1	22	-	-	SYM
ejpam-5793	1	23	5543	5543	NUM
ejpam-5793	1	24	–	–	PUNCT
ejpam-5793	1	25	ejpam.com	ejpam.com	X
ejpam-5793	1	26	published	publish	VERB
ejpam-5793	1	27	by	by	ADP
ejpam-5793	1	28	new	new	PROPN
ejpam-5793	1	29	york	york	PROPN
ejpam-5793	1	30	business	business	PROPN
ejpam-5793	1	31	global	global	ADJ
ejpam-5793	1	32	exploring	explore	VERB
ejpam-5793	1	33	fractional	fractional	ADJ
ejpam-5793	1	34	-	-	PUNCT
ejpam-5793	1	35	order	order	NOUN
ejpam-5793	1	36	models	model	NOUN
ejpam-5793	1	37	in	in	ADP
ejpam-5793	1	38	computational	computational	ADJ
ejpam-5793	1	39	finance	finance	NOUN
ejpam-5793	1	40	via	via	ADP
ejpam-5793	1	41	an	an	DET
ejpam-5793	1	42	efficient	efficient	ADJ
ejpam-5793	1	43	hybrid	hybrid	NOUN
ejpam-5793	1	44	approach	approach	NOUN
ejpam-5793	1	45	imtiaz	imtiaz	PROPN
ejpam-5793	1	46	ahmad1,∗	ahmad1,∗	PROPN
ejpam-5793	1	47	,	,	PUNCT
ejpam-5793	1	48	rashid	rashid	PROPN
ejpam-5793	1	49	jan2,3	jan2,3	PROPN
ejpam-5793	1	50	,	,	PUNCT
ejpam-5793	1	51	normy	normy	PROPN
ejpam-5793	1	52	norfiza	norfiza	PROPN
ejpam-5793	1	53	abdul	abdul	PROPN
ejpam-5793	1	54	razak2	razak2	PROPN
ejpam-5793	1	55	,	,	PUNCT
ejpam-5793	1	56	aziz	aziz	PROPN
ejpam-5793	1	57	khan4	khan4	PROPN
ejpam-5793	1	58	,	,	PUNCT
ejpam-5793	1	59	thabet	thabet	PROPN
ejpam-5793	1	60	abdeljawad4,5,6,7,∗	abdeljawad4,5,6,7,∗	PROPN
ejpam-5793	1	61	1	1	NUM
ejpam-5793	1	62	institute	institute	NOUN
ejpam-5793	1	63	of	of	ADP
ejpam-5793	1	64	informatics	informatic	NOUN
ejpam-5793	1	65	and	and	CCONJ
ejpam-5793	1	66	computing	compute	VERB
ejpam-5793	1	67	in	in	ADP
ejpam-5793	1	68	energy	energy	NOUN
ejpam-5793	1	69	(	(	PUNCT
ejpam-5793	1	70	iice	iice	NOUN
ejpam-5793	1	71	)	)	PUNCT
ejpam-5793	1	72	,	,	PUNCT
ejpam-5793	1	73	universiti	universiti	PROPN
ejpam-5793	1	74	tenaga	tenaga	PROPN
ejpam-5793	1	75	nasional	nasional	PROPN
ejpam-5793	1	76	(	(	PUNCT
ejpam-5793	1	77	uniten	uniten	PROPN
ejpam-5793	1	78	)	)	PUNCT
ejpam-5793	1	79	,	,	PUNCT
ejpam-5793	1	80	kajang	kajang	PROPN
ejpam-5793	1	81	43000	43000	NUM
ejpam-5793	1	82	,	,	PUNCT
ejpam-5793	1	83	selangor	selangor	PROPN
ejpam-5793	1	84	,	,	PUNCT
ejpam-5793	1	85	malaysia	malaysia	PROPN
ejpam-5793	1	86	.	.	PROPN
ejpam-5793	1	87	2	2	NUM
ejpam-5793	1	88	institute	institute	NOUN
ejpam-5793	1	89	of	of	ADP
ejpam-5793	1	90	energy	energy	NOUN
ejpam-5793	1	91	infrastructure	infrastructure	NOUN
ejpam-5793	1	92	(	(	PUNCT
ejpam-5793	1	93	iei	iei	PROPN
ejpam-5793	1	94	)	)	PUNCT
ejpam-5793	1	95	,	,	PUNCT
ejpam-5793	1	96	department	department	NOUN
ejpam-5793	1	97	of	of	ADP
ejpam-5793	1	98	civil	civil	ADJ
ejpam-5793	1	99	engineering	engineering	NOUN
ejpam-5793	1	100	,	,	PUNCT
ejpam-5793	1	101	college	college	NOUN
ejpam-5793	1	102	of	of	ADP
ejpam-5793	1	103	engineering	engineering	PROPN
ejpam-5793	1	104	,	,	PUNCT
ejpam-5793	1	105	universiti	universiti	PROPN
ejpam-5793	1	106	tenaga	tenaga	PROPN
ejpam-5793	1	107	nasional	nasional	PROPN
ejpam-5793	1	108	(	(	PUNCT
ejpam-5793	1	109	uniten	uniten	PROPN
ejpam-5793	1	110	)	)	PUNCT
ejpam-5793	1	111	,	,	PUNCT
ejpam-5793	1	112	putrajaya	putrajaya	PROPN
ejpam-5793	1	113	campus	campus	PROPN
ejpam-5793	1	114	,	,	PUNCT
ejpam-5793	1	115	jalan	jalan	PROPN
ejpam-5793	1	116	ikramuniten	ikramuniten	PROPN
ejpam-5793	1	117	,	,	PUNCT
ejpam-5793	1	118	43000	43000	NUM
ejpam-5793	1	119	kajang	kajang	PROPN
ejpam-5793	1	120	,	,	PUNCT
ejpam-5793	1	121	selangor	selangor	PROPN
ejpam-5793	1	122	,	,	PUNCT
ejpam-5793	1	123	malaysia	malaysia	PROPN
ejpam-5793	1	124	.	.	PROPN
ejpam-5793	1	125	3	3	NUM
ejpam-5793	1	126	mathematics	mathematics	PROPN
ejpam-5793	1	127	research	research	NOUN
ejpam-5793	1	128	center	center	NOUN
ejpam-5793	1	129	,	,	PUNCT
ejpam-5793	1	130	near	near	ADP
ejpam-5793	1	131	east	east	PROPN
ejpam-5793	1	132	university	university	PROPN
ejpam-5793	1	133	trnc	trnc	NOUN
ejpam-5793	1	134	,	,	PUNCT
ejpam-5793	1	135	mersin	mersin	PROPN
ejpam-5793	1	136	10	10	NUM
ejpam-5793	1	137	,	,	PUNCT
ejpam-5793	1	138	nicosia	nicosia	PROPN
ejpam-5793	1	139	99138	99138	NUM
ejpam-5793	1	140	,	,	PUNCT
ejpam-5793	1	141	turkey	turkey	PROPN
ejpam-5793	1	142	.	.	PUNCT
ejpam-5793	2	1	4	4	NUM
ejpam-5793	2	2	department	department	NOUN
ejpam-5793	2	3	of	of	ADP
ejpam-5793	2	4	mathematics	mathematic	NOUN
ejpam-5793	2	5	and	and	CCONJ
ejpam-5793	2	6	sciences	science	NOUN
ejpam-5793	2	7	,	,	PUNCT
ejpam-5793	2	8	prince	prince	PROPN
ejpam-5793	2	9	sultan	sultan	PROPN
ejpam-5793	2	10	university	university	PROPN
ejpam-5793	2	11	,	,	PUNCT
ejpam-5793	2	12	p.o	p.o	PROPN
ejpam-5793	2	13	.	.	PROPN
ejpam-5793	2	14	box	box	PROPN
ejpam-5793	2	15	66833	66833	NUM
ejpam-5793	2	16	,	,	PUNCT
ejpam-5793	2	17	11586	11586	NUM
ejpam-5793	2	18	riyadh	riyadh	NOUN
ejpam-5793	2	19	,	,	PUNCT
ejpam-5793	2	20	saudi	saudi	PROPN
ejpam-5793	2	21	arabia	arabia	PROPN
ejpam-5793	2	22	.	.	PUNCT
ejpam-5793	3	1	5	5	NUM
ejpam-5793	3	2	department	department	NOUN
ejpam-5793	3	3	of	of	ADP
ejpam-5793	3	4	mathematics	mathematic	NOUN
ejpam-5793	3	5	,	,	PUNCT
ejpam-5793	3	6	saveetha	saveetha	PROPN
ejpam-5793	3	7	school	school	PROPN
ejpam-5793	3	8	of	of	ADP
ejpam-5793	3	9	engineering	engineering	PROPN
ejpam-5793	3	10	,	,	PUNCT
ejpam-5793	3	11	saveetha	saveetha	PROPN
ejpam-5793	3	12	institute	institute	PROPN
ejpam-5793	3	13	of	of	ADP
ejpam-5793	3	14	medical	medical	ADJ
ejpam-5793	3	15	and	and	CCONJ
ejpam-5793	3	16	technical	technical	ADJ
ejpam-5793	3	17	sciences	science	NOUN
ejpam-5793	3	18	,	,	PUNCT
ejpam-5793	3	19	saveetha	saveetha	PROPN
ejpam-5793	3	20	university	university	PROPN
ejpam-5793	3	21	,	,	PUNCT
ejpam-5793	3	22	chennai	chennai	NOUN
ejpam-5793	3	23	602105	602105	NUM
ejpam-5793	3	24	,	,	PUNCT
ejpam-5793	3	25	tamil	tamil	PROPN
ejpam-5793	3	26	nadu	nadu	PROPN
ejpam-5793	3	27	,	,	PUNCT
ejpam-5793	3	28	india	india	PROPN
ejpam-5793	3	29	.	.	PROPN
ejpam-5793	3	30	6	6	NUM
ejpam-5793	3	31	center	center	NOUN
ejpam-5793	3	32	for	for	ADP
ejpam-5793	3	33	applied	applied	ADJ
ejpam-5793	3	34	mathematics	mathematic	NOUN
ejpam-5793	3	35	and	and	CCONJ
ejpam-5793	3	36	bioinformatics	bioinformatics	NOUN
ejpam-5793	3	37	(	(	PUNCT
ejpam-5793	3	38	camb	camb	PROPN
ejpam-5793	3	39	)	)	PUNCT
ejpam-5793	3	40	,	,	PUNCT
ejpam-5793	3	41	gulf	gulf	PROPN
ejpam-5793	3	42	university	university	PROPN
ejpam-5793	3	43	for	for	ADP
ejpam-5793	3	44	science	science	NOUN
ejpam-5793	3	45	and	and	CCONJ
ejpam-5793	3	46	technology	technology	NOUN
ejpam-5793	3	47	,	,	PUNCT
ejpam-5793	3	48	hawally	hawally	ADV
ejpam-5793	3	49	,	,	PUNCT
ejpam-5793	3	50	32093	32093	NUM
ejpam-5793	3	51	,	,	PUNCT
ejpam-5793	3	52	kuwait	kuwait	PROPN
ejpam-5793	3	53	.	.	PUNCT
ejpam-5793	4	1	7	7	NUM
ejpam-5793	4	2	department	department	NOUN
ejpam-5793	4	3	of	of	ADP
ejpam-5793	4	4	mathematics	mathematic	NOUN
ejpam-5793	4	5	and	and	CCONJ
ejpam-5793	4	6	applied	apply	VERB
ejpam-5793	4	7	mathematics	mathematic	NOUN
ejpam-5793	4	8	,	,	PUNCT
ejpam-5793	4	9	sefako	sefako	VERB
ejpam-5793	4	10	makgatho	makgatho	PROPN
ejpam-5793	4	11	health	health	PROPN
ejpam-5793	4	12	sciences	sciences	PROPN
ejpam-5793	4	13	university	university	PROPN
ejpam-5793	4	14	,	,	PUNCT
ejpam-5793	4	15	garankuwa	garankuwa	NOUN
ejpam-5793	4	16	,	,	PUNCT
ejpam-5793	4	17	medusa	medusa	NOUN
ejpam-5793	4	18	0204	0204	NUM
ejpam-5793	4	19	,	,	PUNCT
ejpam-5793	4	20	south	south	PROPN
ejpam-5793	4	21	africa	africa	PROPN
ejpam-5793	4	22	.	.	PUNCT
ejpam-5793	5	1	abstract	abstract	ADJ
ejpam-5793	5	2	.	.	PUNCT
ejpam-5793	6	1	in	in	ADP
ejpam-5793	6	2	this	this	DET
ejpam-5793	6	3	study	study	NOUN
ejpam-5793	6	4	,	,	PUNCT
ejpam-5793	6	5	a	a	DET
ejpam-5793	6	6	hybrid	hybrid	ADJ
ejpam-5793	6	7	numerical	numerical	ADJ
ejpam-5793	6	8	method	method	NOUN
ejpam-5793	6	9	is	be	AUX
ejpam-5793	6	10	applied	apply	VERB
ejpam-5793	6	11	to	to	PART
ejpam-5793	6	12	solve	solve	VERB
ejpam-5793	6	13	the	the	DET
ejpam-5793	6	14	time	time	NOUN
ejpam-5793	6	15	-	-	PUNCT
ejpam-5793	6	16	fractional	fractional	ADJ
ejpam-5793	6	17	blackscholes	blackschole	NOUN
ejpam-5793	6	18	model	model	NOUN
ejpam-5793	6	19	for	for	ADP
ejpam-5793	6	20	various	various	ADJ
ejpam-5793	6	21	options	option	NOUN
ejpam-5793	6	22	,	,	PUNCT
ejpam-5793	6	23	including	include	VERB
ejpam-5793	6	24	traditional	traditional	ADJ
ejpam-5793	6	25	(	(	PUNCT
ejpam-5793	6	26	european	european	ADJ
ejpam-5793	6	27	and	and	CCONJ
ejpam-5793	6	28	american	american	ADJ
ejpam-5793	6	29	)	)	PUNCT
ejpam-5793	6	30	as	as	ADV
ejpam-5793	6	31	well	well	ADV
ejpam-5793	6	32	as	as	ADP
ejpam-5793	6	33	nonstandard	nonstandard	ADJ
ejpam-5793	6	34	options	option	NOUN
ejpam-5793	6	35	(	(	PUNCT
ejpam-5793	6	36	such	such	ADJ
ejpam-5793	6	37	as	as	ADP
ejpam-5793	6	38	butterfly	butterfly	NOUN
ejpam-5793	6	39	spread	spread	VERB
ejpam-5793	6	40	,	,	PUNCT
ejpam-5793	6	41	double	double	ADJ
ejpam-5793	6	42	barrier	barrier	NOUN
ejpam-5793	6	43	,	,	PUNCT
ejpam-5793	6	44	and	and	CCONJ
ejpam-5793	6	45	digital	digital	ADJ
ejpam-5793	6	46	options	option	NOUN
ejpam-5793	6	47	)	)	PUNCT
ejpam-5793	6	48	.	.	PUNCT
ejpam-5793	7	1	the	the	DET
ejpam-5793	7	2	method	method	NOUN
ejpam-5793	7	3	combines	combine	VERB
ejpam-5793	7	4	the	the	DET
ejpam-5793	7	5	fractional	fractional	ADJ
ejpam-5793	7	6	liouville	liouville	PROPN
ejpam-5793	7	7	-	-	PUNCT
ejpam-5793	7	8	caputo	caputo	PROPN
ejpam-5793	7	9	scheme	scheme	NOUN
ejpam-5793	7	10	for	for	ADP
ejpam-5793	7	11	time	time	NOUN
ejpam-5793	7	12	derivatives	derivative	NOUN
ejpam-5793	7	13	with	with	ADP
ejpam-5793	7	14	the	the	DET
ejpam-5793	7	15	strang	strang	PROPN
ejpam-5793	7	16	splitting	splitting	NOUN
ejpam-5793	7	17	algorithm	algorithm	NOUN
ejpam-5793	7	18	,	,	PUNCT
ejpam-5793	7	19	while	while	SCONJ
ejpam-5793	7	20	a	a	DET
ejpam-5793	7	21	meshless	meshless	ADJ
ejpam-5793	7	22	approach	approach	NOUN
ejpam-5793	7	23	based	base	VERB
ejpam-5793	7	24	on	on	ADP
ejpam-5793	7	25	lucas	lucas	PROPN
ejpam-5793	7	26	and	and	CCONJ
ejpam-5793	7	27	fibonacci	fibonacci	NOUN
ejpam-5793	7	28	polynomials	polynomial	NOUN
ejpam-5793	7	29	is	be	AUX
ejpam-5793	7	30	used	use	VERB
ejpam-5793	7	31	for	for	ADP
ejpam-5793	7	32	spatial	spatial	ADJ
ejpam-5793	7	33	derivatives	derivative	NOUN
ejpam-5793	7	34	.	.	PUNCT
ejpam-5793	8	1	numerical	numerical	ADJ
ejpam-5793	8	2	experiments	experiment	NOUN
ejpam-5793	8	3	are	be	AUX
ejpam-5793	8	4	conducted	conduct	VERB
ejpam-5793	8	5	using	use	VERB
ejpam-5793	8	6	the	the	DET
ejpam-5793	8	7	l∞	l∞	NOUN
ejpam-5793	8	8	error	error	NOUN
ejpam-5793	8	9	norm	norm	NOUN
ejpam-5793	8	10	to	to	PART
ejpam-5793	8	11	evaluate	evaluate	VERB
ejpam-5793	8	12	the	the	DET
ejpam-5793	8	13	accuracy	accuracy	NOUN
ejpam-5793	8	14	and	and	CCONJ
ejpam-5793	8	15	effectiveness	effectiveness	NOUN
ejpam-5793	8	16	of	of	ADP
ejpam-5793	8	17	the	the	DET
ejpam-5793	8	18	method	method	NOUN
ejpam-5793	8	19	,	,	PUNCT
ejpam-5793	8	20	with	with	ADP
ejpam-5793	8	21	the	the	DET
ejpam-5793	8	22	double	double	ADJ
ejpam-5793	8	23	mesh	mesh	NOUN
ejpam-5793	8	24	technique	technique	NOUN
ejpam-5793	8	25	employed	employ	VERB
ejpam-5793	8	26	for	for	ADP
ejpam-5793	8	27	validation	validation	NOUN
ejpam-5793	8	28	when	when	SCONJ
ejpam-5793	8	29	exact	exact	ADJ
ejpam-5793	8	30	solutions	solution	NOUN
ejpam-5793	8	31	are	be	AUX
ejpam-5793	8	32	unavailable	unavailable	ADJ
ejpam-5793	8	33	.	.	PUNCT
ejpam-5793	9	1	in	in	ADP
ejpam-5793	9	2	addition	addition	NOUN
ejpam-5793	9	3	,	,	PUNCT
ejpam-5793	9	4	the	the	DET
ejpam-5793	9	5	model	model	NOUN
ejpam-5793	9	6	performance	performance	NOUN
ejpam-5793	9	7	is	be	AUX
ejpam-5793	9	8	further	far	ADV
ejpam-5793	9	9	evaluated	evaluate	VERB
ejpam-5793	9	10	through	through	ADP
ejpam-5793	9	11	the	the	DET
ejpam-5793	9	12	computation	computation	NOUN
ejpam-5793	9	13	of	of	ADP
ejpam-5793	9	14	key	key	ADJ
ejpam-5793	9	15	sensitivity	sensitivity	NOUN
ejpam-5793	9	16	measures	measure	NOUN
ejpam-5793	9	17	,	,	PUNCT
ejpam-5793	9	18	specifically	specifically	ADV
ejpam-5793	9	19	the	the	DET
ejpam-5793	9	20	greeks	greeks	PROPN
ejpam-5793	9	21	(	(	PUNCT
ejpam-5793	9	22	delta	delta	NOUN
ejpam-5793	9	23	and	and	CCONJ
ejpam-5793	9	24	gamma	gamma	NOUN
ejpam-5793	9	25	)	)	PUNCT
ejpam-5793	9	26	.	.	PUNCT
ejpam-5793	10	1	the	the	DET
ejpam-5793	10	2	accuracy	accuracy	NOUN
ejpam-5793	10	3	and	and	CCONJ
ejpam-5793	10	4	robustness	robustness	NOUN
ejpam-5793	10	5	of	of	ADP
ejpam-5793	10	6	the	the	DET
ejpam-5793	10	7	proposed	propose	VERB
ejpam-5793	10	8	solution	solution	NOUN
ejpam-5793	10	9	are	be	AUX
ejpam-5793	10	10	validated	validate	VERB
ejpam-5793	10	11	by	by	ADP
ejpam-5793	10	12	benchmarking	benchmarke	VERB
ejpam-5793	10	13	its	its	PRON
ejpam-5793	10	14	results	result	NOUN
ejpam-5793	10	15	against	against	ADP
ejpam-5793	10	16	those	those	PRON
ejpam-5793	10	17	obtained	obtain	VERB
ejpam-5793	10	18	using	use	VERB
ejpam-5793	10	19	alternative	alternative	ADJ
ejpam-5793	10	20	methods	method	NOUN
ejpam-5793	10	21	reported	report	VERB
ejpam-5793	10	22	in	in	ADP
ejpam-5793	10	23	the	the	DET
ejpam-5793	10	24	literature	literature	NOUN
ejpam-5793	10	25	.	.	PUNCT
ejpam-5793	11	1	2020	2020	NUM
ejpam-5793	11	2	mathematics	mathematics	PROPN
ejpam-5793	11	3	subject	subject	NOUN
ejpam-5793	11	4	classifications	classification	NOUN
ejpam-5793	11	5	:	:	PUNCT
ejpam-5793	11	6	65m70	65m70	NUM
ejpam-5793	11	7	,	,	PUNCT
ejpam-5793	11	8	91g60	91g60	NUM
ejpam-5793	11	9	,	,	PUNCT
ejpam-5793	11	10	33c45	33c45	NUM
ejpam-5793	11	11	,	,	PUNCT
ejpam-5793	11	12	35r11	35r11	NUM
ejpam-5793	11	13	,	,	PUNCT
ejpam-5793	11	14	65d99	65d99	NUM
ejpam-5793	11	15	key	key	ADJ
ejpam-5793	11	16	words	word	NOUN
ejpam-5793	11	17	and	and	CCONJ
ejpam-5793	11	18	phrases	phrase	NOUN
ejpam-5793	11	19	:	:	PUNCT
ejpam-5793	11	20	hybrid	hybrid	ADJ
ejpam-5793	11	21	numerical	numerical	ADJ
ejpam-5793	11	22	method	method	NOUN
ejpam-5793	11	23	,	,	PUNCT
ejpam-5793	11	24	fractional	fractional	ADJ
ejpam-5793	11	25	pdes	pde	NOUN
ejpam-5793	11	26	,	,	PUNCT
ejpam-5793	11	27	vanilla	vanilla	NOUN
ejpam-5793	11	28	options	option	NOUN
ejpam-5793	11	29	,	,	PUNCT
ejpam-5793	11	30	exotic	exotic	ADJ
ejpam-5793	11	31	options	option	NOUN
ejpam-5793	11	32	,	,	PUNCT
ejpam-5793	11	33	strang	strang	PROPN
ejpam-5793	11	34	splitting	split	VERB
ejpam-5793	11	35	algorithm	algorithm	NOUN
ejpam-5793	11	36	∗corresponding	∗corresponde	VERB
ejpam-5793	11	37	author	author	NOUN
ejpam-5793	11	38	.	.	PUNCT
ejpam-5793	12	1	∗corresponding	∗corresponde	VERB
ejpam-5793	12	2	author	author	NOUN
ejpam-5793	12	3	.	.	PUNCT
ejpam-5793	13	1	doi	doi	NOUN
ejpam-5793	13	2	:	:	PUNCT
ejpam-5793	13	3	https://doi.org/10.29020/nybg.ejpam.v18i1.5793	https://doi.org/10.29020/nybg.ejpam.v18i1.5793	ADJ
ejpam-5793	13	4	email	email	NOUN
ejpam-5793	13	5	addresses	address	VERB
ejpam-5793	13	6	:	:	PUNCT
ejpam-5793	13	7	imtiazkakakhil@gmail.com	imtiazkakakhil@gmail.com	PROPN
ejpam-5793	13	8	(	(	PUNCT
ejpam-5793	13	9	i.	i.	PROPN
ejpam-5793	13	10	ahmad	ahmad	PROPN
ejpam-5793	13	11	)	)	PUNCT
ejpam-5793	13	12	,	,	PUNCT
ejpam-5793	13	13	tabdeljawad@psu.edu.sa	tabdeljawad@psu.edu.sa	PROPN
ejpam-5793	13	14	(	(	PUNCT
ejpam-5793	13	15	t.	t.	NOUN
ejpam-5793	13	16	abdeljawad	abdeljawad	PROPN
ejpam-5793	13	17	)	)	PUNCT
ejpam-5793	13	18	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-5793	13	19	1	1	NUM
ejpam-5793	13	20	copyright	copyright	NOUN
ejpam-5793	13	21	:	:	PUNCT
ejpam-5793	14	1	©	©	PROPN
ejpam-5793	14	2	2025	2025	NUM
ejpam-5793	14	3	the	the	DET
ejpam-5793	14	4	author(s	author(s	NOUN
ejpam-5793	14	5	)	)	PUNCT
ejpam-5793	14	6	.	.	PUNCT
ejpam-5793	15	1	(	(	PUNCT
ejpam-5793	15	2	cc	cc	NOUN
ejpam-5793	15	3	by	by	ADP
ejpam-5793	15	4	-	-	PUNCT
ejpam-5793	15	5	nc	nc	PROPN
ejpam-5793	15	6	4.0	4.0	NUM
ejpam-5793	15	7	)	)	PUNCT
ejpam-5793	15	8	imtiaz	imtiaz	PROPN
ejpam-5793	15	9	ahmad	ahmad	PROPN
ejpam-5793	15	10	et	et	PROPN
ejpam-5793	15	11	al	al	PROPN
ejpam-5793	15	12	.	.	PUNCT
ejpam-5793	15	13	/	/	SYM
ejpam-5793	15	14	eur	eur	PROPN
ejpam-5793	15	15	.	.	PUNCT
ejpam-5793	16	1	j.	j.	PROPN
ejpam-5793	16	2	pure	pure	PROPN
ejpam-5793	16	3	appl	appl	PROPN
ejpam-5793	16	4	.	.	PROPN
ejpam-5793	16	5	math	math	PROPN
ejpam-5793	16	6	,	,	PUNCT
ejpam-5793	16	7	18	18	NUM
ejpam-5793	16	8	(	(	PUNCT
ejpam-5793	16	9	1	1	NUM
ejpam-5793	16	10	)	)	PUNCT
ejpam-5793	16	11	(	(	PUNCT
ejpam-5793	16	12	2025	2025	NUM
ejpam-5793	16	13	)	)	PUNCT
ejpam-5793	16	14	,	,	PUNCT
ejpam-5793	16	15	5793	5793	NUM
ejpam-5793	16	16	2	2	NUM
ejpam-5793	16	17	of	of	ADP
ejpam-5793	16	18	27	27	NUM
ejpam-5793	16	19	1	1	NUM
ejpam-5793	16	20	.	.	PUNCT
ejpam-5793	17	1	introduction	introduction	NOUN
ejpam-5793	17	2	mathematical	mathematical	ADJ
ejpam-5793	17	3	modeling	modeling	NOUN
ejpam-5793	17	4	and	and	CCONJ
ejpam-5793	17	5	simulation	simulation	NOUN
ejpam-5793	17	6	of	of	ADP
ejpam-5793	17	7	financial	financial	ADJ
ejpam-5793	17	8	derivatives	derivative	NOUN
ejpam-5793	17	9	have	have	AUX
ejpam-5793	17	10	become	become	VERB
ejpam-5793	17	11	increasingly	increasingly	ADV
ejpam-5793	17	12	popular	popular	ADJ
ejpam-5793	17	13	in	in	ADP
ejpam-5793	17	14	recent	recent	ADJ
ejpam-5793	17	15	years	year	NOUN
ejpam-5793	17	16	.	.	PUNCT
ejpam-5793	18	1	when	when	SCONJ
ejpam-5793	18	2	used	use	VERB
ejpam-5793	18	3	correctly	correctly	ADV
ejpam-5793	18	4	,	,	PUNCT
ejpam-5793	18	5	financial	financial	ADJ
ejpam-5793	18	6	derivatives	derivative	NOUN
ejpam-5793	18	7	help	help	VERB
ejpam-5793	18	8	investors	investor	NOUN
ejpam-5793	18	9	optimize	optimize	VERB
ejpam-5793	18	10	gains	gain	NOUN
ejpam-5793	18	11	while	while	SCONJ
ejpam-5793	18	12	reducing	reduce	VERB
ejpam-5793	18	13	losses	loss	NOUN
ejpam-5793	18	14	.	.	PUNCT
ejpam-5793	19	1	these	these	DET
ejpam-5793	19	2	instruments	instrument	NOUN
ejpam-5793	19	3	serve	serve	VERB
ejpam-5793	19	4	two	two	NUM
ejpam-5793	19	5	primary	primary	ADJ
ejpam-5793	19	6	purposes	purpose	NOUN
ejpam-5793	19	7	:	:	PUNCT
ejpam-5793	19	8	they	they	PRON
ejpam-5793	19	9	allow	allow	VERB
ejpam-5793	19	10	one	one	NUM
ejpam-5793	19	11	party	party	NOUN
ejpam-5793	19	12	to	to	PART
ejpam-5793	19	13	hedge	hedge	VERB
ejpam-5793	19	14	against	against	ADP
ejpam-5793	19	15	risk	risk	NOUN
ejpam-5793	19	16	,	,	PUNCT
ejpam-5793	19	17	while	while	SCONJ
ejpam-5793	19	18	offering	offer	VERB
ejpam-5793	19	19	the	the	DET
ejpam-5793	19	20	other	other	ADJ
ejpam-5793	19	21	party	party	NOUN
ejpam-5793	19	22	the	the	DET
ejpam-5793	19	23	potential	potential	NOUN
ejpam-5793	19	24	for	for	ADP
ejpam-5793	19	25	substantial	substantial	ADJ
ejpam-5793	19	26	returns	return	NOUN
ejpam-5793	19	27	[	[	X
ejpam-5793	19	28	44	44	NUM
ejpam-5793	19	29	]	]	PUNCT
ejpam-5793	19	30	.	.	PUNCT
ejpam-5793	20	1	derivatives	derivative	NOUN
ejpam-5793	20	2	are	be	AUX
ejpam-5793	20	3	used	use	VERB
ejpam-5793	20	4	to	to	PART
ejpam-5793	20	5	manage	manage	VERB
ejpam-5793	20	6	significant	significant	ADJ
ejpam-5793	20	7	risks	risk	NOUN
ejpam-5793	20	8	associated	associate	VERB
ejpam-5793	20	9	with	with	ADP
ejpam-5793	20	10	various	various	ADJ
ejpam-5793	20	11	financial	financial	ADJ
ejpam-5793	20	12	assets	asset	NOUN
ejpam-5793	20	13	,	,	PUNCT
ejpam-5793	20	14	including	include	VERB
ejpam-5793	20	15	fluctuations	fluctuation	NOUN
ejpam-5793	20	16	in	in	ADP
ejpam-5793	20	17	the	the	DET
ejpam-5793	20	18	prices	price	NOUN
ejpam-5793	20	19	of	of	ADP
ejpam-5793	20	20	commodities	commodity	NOUN
ejpam-5793	20	21	,	,	PUNCT
ejpam-5793	20	22	stocks	stock	NOUN
ejpam-5793	20	23	,	,	PUNCT
ejpam-5793	20	24	bonds	bond	NOUN
ejpam-5793	20	25	,	,	PUNCT
ejpam-5793	20	26	indices	index	NOUN
ejpam-5793	20	27	,	,	PUNCT
ejpam-5793	20	28	and	and	CCONJ
ejpam-5793	20	29	changes	change	NOUN
ejpam-5793	20	30	in	in	ADP
ejpam-5793	20	31	exchange	exchange	NOUN
ejpam-5793	20	32	rates	rate	NOUN
ejpam-5793	20	33	.	.	PUNCT
ejpam-5793	21	1	common	common	ADJ
ejpam-5793	21	2	examples	example	NOUN
ejpam-5793	21	3	of	of	ADP
ejpam-5793	21	4	financial	financial	ADJ
ejpam-5793	21	5	derivatives	derivative	NOUN
ejpam-5793	21	6	include	include	VERB
ejpam-5793	21	7	european	european	ADJ
ejpam-5793	21	8	,	,	PUNCT
ejpam-5793	21	9	american	american	ADJ
ejpam-5793	21	10	,	,	PUNCT
ejpam-5793	21	11	and	and	CCONJ
ejpam-5793	21	12	asian	asian	ADJ
ejpam-5793	21	13	options	option	NOUN
ejpam-5793	21	14	[	[	X
ejpam-5793	21	15	44	44	NUM
ejpam-5793	21	16	]	]	PUNCT
ejpam-5793	21	17	.	.	PUNCT
ejpam-5793	22	1	this	this	DET
ejpam-5793	22	2	study	study	NOUN
ejpam-5793	22	3	focuses	focus	VERB
ejpam-5793	22	4	on	on	ADP
ejpam-5793	22	5	vanilla	vanilla	NOUN
ejpam-5793	22	6	options	option	NOUN
ejpam-5793	22	7	,	,	PUNCT
ejpam-5793	22	8	including	include	VERB
ejpam-5793	22	9	european	european	ADJ
ejpam-5793	22	10	and	and	CCONJ
ejpam-5793	22	11	american	american	ADJ
ejpam-5793	22	12	options	option	NOUN
ejpam-5793	22	13	,	,	PUNCT
ejpam-5793	22	14	as	as	ADV
ejpam-5793	22	15	well	well	ADV
ejpam-5793	22	16	as	as	ADP
ejpam-5793	22	17	exotic	exotic	ADJ
ejpam-5793	22	18	options	option	NOUN
ejpam-5793	22	19	such	such	ADJ
ejpam-5793	22	20	as	as	ADP
ejpam-5793	22	21	butterfly	butterfly	NOUN
ejpam-5793	22	22	spreads	spread	NOUN
ejpam-5793	22	23	,	,	PUNCT
ejpam-5793	22	24	double	double	ADJ
ejpam-5793	22	25	barriers	barrier	NOUN
ejpam-5793	22	26	,	,	PUNCT
ejpam-5793	22	27	and	and	CCONJ
ejpam-5793	22	28	digital	digital	ADJ
ejpam-5793	22	29	options	option	NOUN
ejpam-5793	22	30	.	.	PUNCT
ejpam-5793	23	1	exotic	exotic	ADJ
ejpam-5793	23	2	options	option	NOUN
ejpam-5793	23	3	are	be	AUX
ejpam-5793	23	4	frequently	frequently	ADV
ejpam-5793	23	5	used	use	VERB
ejpam-5793	23	6	in	in	ADP
ejpam-5793	23	7	financial	financial	ADJ
ejpam-5793	23	8	contracts	contract	NOUN
ejpam-5793	23	9	due	due	ADP
ejpam-5793	23	10	to	to	ADP
ejpam-5793	23	11	their	their	PRON
ejpam-5793	23	12	distinct	distinct	ADJ
ejpam-5793	23	13	characteristics	characteristic	NOUN
ejpam-5793	23	14	and	and	CCONJ
ejpam-5793	23	15	,	,	PUNCT
ejpam-5793	23	16	unlike	unlike	ADP
ejpam-5793	23	17	standardized	standardized	ADJ
ejpam-5793	23	18	options	option	NOUN
ejpam-5793	23	19	,	,	PUNCT
ejpam-5793	23	20	are	be	AUX
ejpam-5793	23	21	customized	customize	VERB
ejpam-5793	23	22	to	to	PART
ejpam-5793	23	23	meet	meet	VERB
ejpam-5793	23	24	the	the	DET
ejpam-5793	23	25	specific	specific	ADJ
ejpam-5793	23	26	requirements	requirement	NOUN
ejpam-5793	23	27	of	of	ADP
ejpam-5793	23	28	investors	investor	NOUN
ejpam-5793	23	29	.	.	PUNCT
ejpam-5793	24	1	a	a	DET
ejpam-5793	24	2	european	european	ADJ
ejpam-5793	24	3	option	option	NOUN
ejpam-5793	24	4	,	,	PUNCT
ejpam-5793	24	5	which	which	PRON
ejpam-5793	24	6	can	can	AUX
ejpam-5793	24	7	only	only	ADV
ejpam-5793	24	8	be	be	AUX
ejpam-5793	24	9	exercised	exercise	VERB
ejpam-5793	24	10	on	on	ADP
ejpam-5793	24	11	its	its	PRON
ejpam-5793	24	12	expiration	expiration	NOUN
ejpam-5793	24	13	date	date	NOUN
ejpam-5793	24	14	,	,	PUNCT
ejpam-5793	24	15	is	be	AUX
ejpam-5793	24	16	commonly	commonly	ADV
ejpam-5793	24	17	referred	refer	VERB
ejpam-5793	24	18	to	to	ADP
ejpam-5793	24	19	as	as	ADP
ejpam-5793	24	20	a	a	DET
ejpam-5793	24	21	vanilla	vanilla	NOUN
ejpam-5793	24	22	option	option	NOUN
ejpam-5793	24	23	.	.	PUNCT
ejpam-5793	25	1	in	in	ADP
ejpam-5793	25	2	contrast	contrast	NOUN
ejpam-5793	25	3	,	,	PUNCT
ejpam-5793	25	4	an	an	DET
ejpam-5793	25	5	american	american	ADJ
ejpam-5793	25	6	option	option	NOUN
ejpam-5793	25	7	offers	offer	VERB
ejpam-5793	25	8	more	more	ADJ
ejpam-5793	25	9	flexibility	flexibility	NOUN
ejpam-5793	25	10	to	to	ADP
ejpam-5793	25	11	investors	investor	NOUN
ejpam-5793	25	12	,	,	PUNCT
ejpam-5793	25	13	as	as	SCONJ
ejpam-5793	25	14	it	it	PRON
ejpam-5793	25	15	can	can	AUX
ejpam-5793	25	16	be	be	AUX
ejpam-5793	25	17	exercised	exercise	VERB
ejpam-5793	25	18	at	at	ADP
ejpam-5793	25	19	any	any	DET
ejpam-5793	25	20	point	point	NOUN
ejpam-5793	25	21	before	before	ADP
ejpam-5793	25	22	or	or	CCONJ
ejpam-5793	25	23	on	on	ADP
ejpam-5793	25	24	the	the	DET
ejpam-5793	25	25	expiration	expiration	NOUN
ejpam-5793	25	26	date	date	NOUN
ejpam-5793	25	27	.	.	PUNCT
ejpam-5793	26	1	however	however	ADV
ejpam-5793	26	2	,	,	PUNCT
ejpam-5793	26	3	this	this	DET
ejpam-5793	26	4	flexibility	flexibility	NOUN
ejpam-5793	26	5	adds	add	VERB
ejpam-5793	26	6	a	a	DET
ejpam-5793	26	7	computational	computational	ADJ
ejpam-5793	26	8	challenge	challenge	NOUN
ejpam-5793	26	9	,	,	PUNCT
ejpam-5793	26	10	as	as	SCONJ
ejpam-5793	26	11	it	it	PRON
ejpam-5793	26	12	requires	require	VERB
ejpam-5793	26	13	determining	determine	VERB
ejpam-5793	26	14	both	both	CCONJ
ejpam-5793	26	15	the	the	DET
ejpam-5793	26	16	option	option	NOUN
ejpam-5793	26	17	’s	’s	PART
ejpam-5793	26	18	value	value	NOUN
ejpam-5793	26	19	and	and	CCONJ
ejpam-5793	26	20	the	the	DET
ejpam-5793	26	21	optimal	optimal	ADJ
ejpam-5793	26	22	exercise	exercise	NOUN
ejpam-5793	26	23	point	point	NOUN
ejpam-5793	26	24	at	at	ADP
ejpam-5793	26	25	each	each	DET
ejpam-5793	26	26	time	time	NOUN
ejpam-5793	26	27	step	step	NOUN
ejpam-5793	26	28	.	.	PUNCT
ejpam-5793	27	1	the	the	DET
ejpam-5793	27	2	american	american	ADJ
ejpam-5793	27	3	option	option	NOUN
ejpam-5793	27	4	model	model	NOUN
ejpam-5793	27	5	is	be	AUX
ejpam-5793	27	6	reformulated	reformulate	VERB
ejpam-5793	27	7	as	as	ADP
ejpam-5793	27	8	a	a	DET
ejpam-5793	27	9	moving	move	VERB
ejpam-5793	27	10	boundary	boundary	ADJ
ejpam-5793	27	11	problem	problem	NOUN
ejpam-5793	27	12	.	.	PUNCT
ejpam-5793	28	1	to	to	PART
ejpam-5793	28	2	manage	manage	VERB
ejpam-5793	28	3	the	the	DET
ejpam-5793	28	4	variable	variable	ADJ
ejpam-5793	28	5	boundary	boundary	ADJ
ejpam-5793	28	6	inherent	inherent	ADJ
ejpam-5793	28	7	in	in	ADP
ejpam-5793	28	8	the	the	DET
ejpam-5793	28	9	american	american	PROPN
ejpam-5793	28	10	put	put	NOUN
ejpam-5793	28	11	option	option	NOUN
ejpam-5793	28	12	model	model	NOUN
ejpam-5793	28	13	,	,	PUNCT
ejpam-5793	28	14	a	a	DET
ejpam-5793	28	15	penalty	penalty	NOUN
ejpam-5793	28	16	source	source	NOUN
ejpam-5793	28	17	term	term	NOUN
ejpam-5793	28	18	approach	approach	NOUN
ejpam-5793	28	19	is	be	AUX
ejpam-5793	28	20	employed	employ	VERB
ejpam-5793	28	21	.	.	PUNCT
ejpam-5793	29	1	this	this	DET
ejpam-5793	29	2	method	method	NOUN
ejpam-5793	29	3	introduces	introduce	VERB
ejpam-5793	29	4	a	a	DET
ejpam-5793	29	5	minor	minor	ADJ
ejpam-5793	29	6	,	,	PUNCT
ejpam-5793	29	7	continuous	continuous	ADJ
ejpam-5793	29	8	penalty	penalty	NOUN
ejpam-5793	29	9	term	term	NOUN
ejpam-5793	30	1	[	[	X
ejpam-5793	30	2	40	40	NUM
ejpam-5793	30	3	]	]	PUNCT
ejpam-5793	30	4	into	into	ADP
ejpam-5793	30	5	the	the	DET
ejpam-5793	30	6	black	black	ADJ
ejpam-5793	30	7	-	-	PUNCT
ejpam-5793	30	8	scholes	schole	NOUN
ejpam-5793	30	9	equation	equation	NOUN
ejpam-5793	30	10	[	[	X
ejpam-5793	30	11	26	26	NUM
ejpam-5793	30	12	]	]	PUNCT
ejpam-5793	30	13	,	,	PUNCT
ejpam-5793	30	14	thereby	thereby	ADV
ejpam-5793	30	15	removing	remove	VERB
ejpam-5793	30	16	the	the	DET
ejpam-5793	30	17	free	free	ADJ
ejpam-5793	30	18	boundary	boundary	NOUN
ejpam-5793	30	19	and	and	CCONJ
ejpam-5793	30	20	reformulating	reformulate	VERB
ejpam-5793	30	21	the	the	DET
ejpam-5793	30	22	problem	problem	NOUN
ejpam-5793	30	23	as	as	ADP
ejpam-5793	30	24	a	a	DET
ejpam-5793	30	25	fixed	fix	VERB
ejpam-5793	30	26	boundary	boundary	ADJ
ejpam-5793	30	27	value	value	NOUN
ejpam-5793	30	28	problem	problem	NOUN
ejpam-5793	30	29	.	.	PUNCT
ejpam-5793	31	1	the	the	DET
ejpam-5793	31	2	black	black	NOUN
ejpam-5793	31	3	-	-	PUNCT
ejpam-5793	31	4	scholes	schole	NOUN
ejpam-5793	31	5	(	(	PUNCT
ejpam-5793	31	6	b	b	X
ejpam-5793	31	7	-	-	PUNCT
ejpam-5793	31	8	s	s	NOUN
ejpam-5793	31	9	)	)	PUNCT
ejpam-5793	31	10	model	model	NOUN
ejpam-5793	31	11	represents	represent	VERB
ejpam-5793	31	12	an	an	DET
ejpam-5793	31	13	innovative	innovative	ADJ
ejpam-5793	31	14	method	method	NOUN
ejpam-5793	31	15	,	,	PUNCT
ejpam-5793	31	16	categorized	categorize	VERB
ejpam-5793	31	17	as	as	ADP
ejpam-5793	31	18	a	a	DET
ejpam-5793	31	19	convection	convection	NOUN
ejpam-5793	31	20	-	-	PUNCT
ejpam-5793	31	21	diffusion	diffusion	NOUN
ejpam-5793	31	22	partial	partial	ADJ
ejpam-5793	31	23	differential	differential	NOUN
ejpam-5793	31	24	equation	equation	NOUN
ejpam-5793	31	25	(	(	PUNCT
ejpam-5793	31	26	pde	pde	NOUN
ejpam-5793	31	27	)	)	PUNCT
ejpam-5793	31	28	.	.	PUNCT
ejpam-5793	32	1	this	this	DET
ejpam-5793	32	2	classification	classification	NOUN
ejpam-5793	32	3	arises	arise	VERB
ejpam-5793	32	4	from	from	ADP
ejpam-5793	32	5	the	the	DET
ejpam-5793	32	6	assumption	assumption	NOUN
ejpam-5793	32	7	within	within	ADP
ejpam-5793	32	8	the	the	DET
ejpam-5793	32	9	risk	risk	NOUN
ejpam-5793	32	10	-	-	PUNCT
ejpam-5793	32	11	neutral	neutral	ADJ
ejpam-5793	32	12	probability	probability	NOUN
ejpam-5793	32	13	framework	framework	NOUN
ejpam-5793	32	14	that	that	SCONJ
ejpam-5793	32	15	stock	stock	NOUN
ejpam-5793	32	16	prices	price	NOUN
ejpam-5793	32	17	follow	follow	VERB
ejpam-5793	32	18	a	a	DET
ejpam-5793	32	19	brownian	brownian	ADJ
ejpam-5793	32	20	motion	motion	NOUN
ejpam-5793	32	21	.	.	PUNCT
ejpam-5793	33	1	while	while	SCONJ
ejpam-5793	33	2	some	some	DET
ejpam-5793	33	3	alternative	alternative	ADJ
ejpam-5793	33	4	models	model	NOUN
ejpam-5793	33	5	offer	offer	VERB
ejpam-5793	33	6	closed	closed	ADJ
ejpam-5793	33	7	-	-	PUNCT
ejpam-5793	33	8	form	form	NOUN
ejpam-5793	33	9	solutions	solution	NOUN
ejpam-5793	33	10	,	,	PUNCT
ejpam-5793	33	11	many	many	ADJ
ejpam-5793	33	12	realistic	realistic	ADJ
ejpam-5793	33	13	scenarios	scenario	NOUN
ejpam-5793	33	14	require	require	VERB
ejpam-5793	33	15	numerical	numerical	ADJ
ejpam-5793	33	16	methods	method	NOUN
ejpam-5793	33	17	due	due	ADP
ejpam-5793	33	18	to	to	ADP
ejpam-5793	33	19	their	their	PRON
ejpam-5793	33	20	complex	complex	ADJ
ejpam-5793	33	21	dynamics	dynamic	NOUN
ejpam-5793	33	22	.	.	PUNCT
ejpam-5793	34	1	thus	thus	ADV
ejpam-5793	34	2	,	,	PUNCT
ejpam-5793	34	3	developing	develop	VERB
ejpam-5793	34	4	efficient	efficient	ADJ
ejpam-5793	34	5	and	and	CCONJ
ejpam-5793	34	6	accurate	accurate	ADJ
ejpam-5793	34	7	numerical	numerical	ADJ
ejpam-5793	34	8	techniques	technique	NOUN
ejpam-5793	34	9	is	be	AUX
ejpam-5793	34	10	crucial	crucial	ADJ
ejpam-5793	34	11	for	for	ADP
ejpam-5793	34	12	effectively	effectively	ADV
ejpam-5793	34	13	evaluating	evaluate	VERB
ejpam-5793	34	14	these	these	DET
ejpam-5793	34	15	pde	pde	NOUN
ejpam-5793	34	16	models	model	NOUN
ejpam-5793	34	17	in	in	ADP
ejpam-5793	34	18	option	option	NOUN
ejpam-5793	34	19	pricing	pricing	NOUN
ejpam-5793	34	20	.	.	PUNCT
ejpam-5793	35	1	various	various	ADJ
ejpam-5793	35	2	numerical	numerical	ADJ
ejpam-5793	35	3	techniques	technique	NOUN
ejpam-5793	35	4	have	have	AUX
ejpam-5793	35	5	been	be	AUX
ejpam-5793	35	6	documented	document	VERB
ejpam-5793	35	7	in	in	ADP
ejpam-5793	35	8	recent	recent	ADJ
ejpam-5793	35	9	publications	publication	NOUN
ejpam-5793	35	10	,	,	PUNCT
ejpam-5793	35	11	including	include	VERB
ejpam-5793	35	12	finite	finite	ADJ
ejpam-5793	35	13	element	element	NOUN
ejpam-5793	35	14	methods	method	NOUN
ejpam-5793	35	15	[	[	X
ejpam-5793	35	16	51	51	NUM
ejpam-5793	35	17	]	]	PUNCT
ejpam-5793	35	18	and	and	CCONJ
ejpam-5793	35	19	finite	finite	ADJ
ejpam-5793	35	20	difference	difference	NOUN
ejpam-5793	35	21	methods	method	NOUN
ejpam-5793	35	22	[	[	X
ejpam-5793	35	23	11	11	NUM
ejpam-5793	35	24	]	]	PUNCT
ejpam-5793	35	25	.	.	PUNCT
ejpam-5793	36	1	these	these	DET
ejpam-5793	36	2	approaches	approach	NOUN
ejpam-5793	36	3	have	have	AUX
ejpam-5793	36	4	demonstrated	demonstrate	VERB
ejpam-5793	36	5	considerable	considerable	ADJ
ejpam-5793	36	6	success	success	NOUN
ejpam-5793	36	7	in	in	ADP
ejpam-5793	36	8	computational	computational	ADJ
ejpam-5793	36	9	finance	finance	NOUN
ejpam-5793	36	10	,	,	PUNCT
ejpam-5793	36	11	typically	typically	ADV
ejpam-5793	36	12	generating	generate	VERB
ejpam-5793	36	13	results	result	NOUN
ejpam-5793	36	14	with	with	ADP
ejpam-5793	36	15	a	a	DET
ejpam-5793	36	16	high	high	ADJ
ejpam-5793	36	17	degree	degree	NOUN
ejpam-5793	36	18	of	of	ADP
ejpam-5793	36	19	accuracy	accuracy	NOUN
ejpam-5793	36	20	.	.	PUNCT
ejpam-5793	37	1	a	a	DET
ejpam-5793	37	2	recent	recent	ADJ
ejpam-5793	37	3	study	study	NOUN
ejpam-5793	37	4	[	[	X
ejpam-5793	37	5	11	11	NUM
ejpam-5793	37	6	]	]	PUNCT
ejpam-5793	37	7	highlighted	highlight	VERB
ejpam-5793	37	8	an	an	DET
ejpam-5793	37	9	effective	effective	ADJ
ejpam-5793	37	10	extrapolation	extrapolation	NOUN
ejpam-5793	37	11	method	method	NOUN
ejpam-5793	37	12	for	for	ADP
ejpam-5793	37	13	one	one	NUM
ejpam-5793	37	14	-	-	PUNCT
ejpam-5793	37	15	dimensional	dimensional	ADJ
ejpam-5793	37	16	european	european	ADJ
ejpam-5793	37	17	and	and	CCONJ
ejpam-5793	37	18	digital	digital	ADJ
ejpam-5793	37	19	options	option	NOUN
ejpam-5793	37	20	that	that	PRON
ejpam-5793	37	21	achieved	achieve	VERB
ejpam-5793	37	22	improved	improved	ADJ
ejpam-5793	37	23	precision	precision	NOUN
ejpam-5793	37	24	.	.	PUNCT
ejpam-5793	38	1	nonetheless	nonetheless	ADV
ejpam-5793	38	2	,	,	PUNCT
ejpam-5793	38	3	radial	radial	ADJ
ejpam-5793	38	4	basis	basis	NOUN
ejpam-5793	38	5	function	function	NOUN
ejpam-5793	38	6	(	(	PUNCT
ejpam-5793	38	7	rbf	rbf	PROPN
ejpam-5793	38	8	)	)	PUNCT
ejpam-5793	38	9	based	base	VERB
ejpam-5793	38	10	numerical	numerical	ADJ
ejpam-5793	38	11	algorithms	algorithms	PROPN
ejpam-5793	38	12	present	present	VERB
ejpam-5793	38	13	strong	strong	ADJ
ejpam-5793	38	14	alternatives	alternative	NOUN
ejpam-5793	38	15	due	due	ADP
ejpam-5793	38	16	to	to	ADP
ejpam-5793	38	17	their	their	PRON
ejpam-5793	38	18	spectral	spectral	ADJ
ejpam-5793	38	19	accuracy	accuracy	NOUN
ejpam-5793	38	20	,	,	PUNCT
ejpam-5793	38	21	straightforward	straightforward	ADJ
ejpam-5793	38	22	coding	coding	NOUN
ejpam-5793	38	23	,	,	PUNCT
ejpam-5793	38	24	adaptability	adaptability	NOUN
ejpam-5793	38	25	for	for	ADP
ejpam-5793	38	26	both	both	PRON
ejpam-5793	38	27	uniform	uniform	NOUN
ejpam-5793	38	28	and	and	CCONJ
ejpam-5793	38	29	scattered	scatter	VERB
ejpam-5793	38	30	nodes	node	NOUN
ejpam-5793	38	31	,	,	PUNCT
ejpam-5793	38	32	and	and	CCONJ
ejpam-5793	38	33	ease	ease	NOUN
ejpam-5793	38	34	of	of	ADP
ejpam-5793	38	35	implementation	implementation	NOUN
ejpam-5793	38	36	in	in	ADP
ejpam-5793	38	37	higher	high	ADJ
ejpam-5793	38	38	-	-	PUNCT
ejpam-5793	38	39	dimensional	dimensional	ADJ
ejpam-5793	38	40	spaces	space	NOUN
ejpam-5793	38	41	.	.	PUNCT
ejpam-5793	39	1	various	various	ADJ
ejpam-5793	39	2	researchers	researcher	NOUN
ejpam-5793	39	3	have	have	AUX
ejpam-5793	39	4	explored	explore	VERB
ejpam-5793	39	5	meshless	meshless	ADJ
ejpam-5793	39	6	methods	method	NOUN
ejpam-5793	39	7	to	to	PART
ejpam-5793	39	8	accurately	accurately	ADV
ejpam-5793	39	9	evaluate	evaluate	VERB
ejpam-5793	39	10	pde	pde	NOUN
ejpam-5793	39	11	models	model	NOUN
ejpam-5793	39	12	in	in	ADP
ejpam-5793	39	13	computational	computational	ADJ
ejpam-5793	39	14	finance	finance	NOUN
ejpam-5793	39	15	[	[	X
ejpam-5793	39	16	1	1	NUM
ejpam-5793	39	17	,	,	PUNCT
ejpam-5793	39	18	12	12	NUM
ejpam-5793	39	19	,	,	PUNCT
ejpam-5793	39	20	29	29	NUM
ejpam-5793	39	21	]	]	PUNCT
ejpam-5793	39	22	.	.	PUNCT
ejpam-5793	40	1	for	for	ADP
ejpam-5793	40	2	instance	instance	NOUN
ejpam-5793	40	3	,	,	PUNCT
ejpam-5793	40	4	in	in	ADP
ejpam-5793	40	5	[	[	X
ejpam-5793	40	6	42	42	NUM
ejpam-5793	40	7	]	]	PUNCT
ejpam-5793	40	8	,	,	PUNCT
ejpam-5793	40	9	the	the	DET
ejpam-5793	40	10	authors	author	NOUN
ejpam-5793	40	11	introduced	introduce	VERB
ejpam-5793	40	12	the	the	DET
ejpam-5793	40	13	radial	radial	ADJ
ejpam-5793	40	14	basis	basis	NOUN
ejpam-5793	40	15	point	point	NOUN
ejpam-5793	40	16	interpolation	interpolation	NOUN
ejpam-5793	40	17	technique	technique	NOUN
ejpam-5793	40	18	for	for	ADP
ejpam-5793	40	19	solving	solve	VERB
ejpam-5793	40	20	the	the	DET
ejpam-5793	40	21	b	b	PROPN
ejpam-5793	40	22	-	-	PUNCT
ejpam-5793	40	23	s	s	NOUN
ejpam-5793	40	24	model	model	NOUN
ejpam-5793	40	25	related	relate	VERB
ejpam-5793	40	26	to	to	ADP
ejpam-5793	40	27	american	american	ADJ
ejpam-5793	40	28	and	and	CCONJ
ejpam-5793	40	29	european	european	ADJ
ejpam-5793	40	30	options	option	NOUN
ejpam-5793	40	31	with	with	ADP
ejpam-5793	40	32	a	a	DET
ejpam-5793	40	33	single	single	ADJ
ejpam-5793	40	34	asset	asset	NOUN
ejpam-5793	40	35	,	,	PUNCT
ejpam-5793	40	36	proposing	propose	VERB
ejpam-5793	40	37	various	various	ADJ
ejpam-5793	40	38	numerical	numerical	ADJ
ejpam-5793	40	39	methods	method	NOUN
ejpam-5793	40	40	.	.	PUNCT
ejpam-5793	41	1	similarly	similarly	ADV
ejpam-5793	41	2	,	,	PUNCT
ejpam-5793	41	3	other	other	ADJ
ejpam-5793	41	4	meshless	meshless	ADJ
ejpam-5793	41	5	methods	method	NOUN
ejpam-5793	41	6	[	[	X
ejpam-5793	41	7	2	2	NUM
ejpam-5793	41	8	,	,	PUNCT
ejpam-5793	41	9	25	25	NUM
ejpam-5793	41	10	,	,	PUNCT
ejpam-5793	41	11	45	45	NUM
ejpam-5793	41	12	,	,	PUNCT
ejpam-5793	41	13	48	48	NUM
ejpam-5793	41	14	]	]	PUNCT
ejpam-5793	41	15	have	have	AUX
ejpam-5793	41	16	been	be	AUX
ejpam-5793	41	17	developed	develop	VERB
ejpam-5793	41	18	to	to	PART
ejpam-5793	41	19	efficiently	efficiently	ADV
ejpam-5793	41	20	address	address	VERB
ejpam-5793	41	21	american	american	PROPN
ejpam-5793	41	22	imtiaz	imtiaz	PROPN
ejpam-5793	41	23	ahmad	ahmad	PROPN
ejpam-5793	41	24	et	et	PROPN
ejpam-5793	41	25	al	al	PROPN
ejpam-5793	41	26	.	.	PUNCT
ejpam-5793	41	27	/	/	SYM
ejpam-5793	41	28	eur	eur	PROPN
ejpam-5793	41	29	.	.	PUNCT
ejpam-5793	42	1	j.	j.	PROPN
ejpam-5793	42	2	pure	pure	PROPN
ejpam-5793	42	3	appl	appl	PROPN
ejpam-5793	42	4	.	.	PROPN
ejpam-5793	42	5	math	math	PROPN
ejpam-5793	42	6	,	,	PUNCT
ejpam-5793	42	7	18	18	NUM
ejpam-5793	42	8	(	(	PUNCT
ejpam-5793	42	9	1	1	NUM
ejpam-5793	42	10	)	)	PUNCT
ejpam-5793	42	11	(	(	PUNCT
ejpam-5793	42	12	2025	2025	NUM
ejpam-5793	42	13	)	)	PUNCT
ejpam-5793	42	14	,	,	PUNCT
ejpam-5793	42	15	5793	5793	NUM
ejpam-5793	42	16	3	3	NUM
ejpam-5793	42	17	of	of	ADP
ejpam-5793	42	18	27	27	NUM
ejpam-5793	42	19	and	and	CCONJ
ejpam-5793	42	20	other	other	ADJ
ejpam-5793	42	21	option	option	NOUN
ejpam-5793	42	22	models	model	NOUN
ejpam-5793	42	23	.	.	PUNCT
ejpam-5793	43	1	solving	solve	VERB
ejpam-5793	43	2	partial	partial	ADJ
ejpam-5793	43	3	differential	differential	ADJ
ejpam-5793	43	4	equations	equation	NOUN
ejpam-5793	43	5	(	(	PUNCT
ejpam-5793	43	6	pdes	pde	NOUN
ejpam-5793	43	7	)	)	PUNCT
ejpam-5793	43	8	can	can	AUX
ejpam-5793	43	9	be	be	AUX
ejpam-5793	43	10	quite	quite	ADV
ejpam-5793	43	11	challenging	challenging	ADJ
ejpam-5793	43	12	due	due	ADJ
ejpam-5793	43	13	to	to	ADP
ejpam-5793	43	14	their	their	PRON
ejpam-5793	43	15	complexity	complexity	NOUN
ejpam-5793	43	16	,	,	PUNCT
ejpam-5793	43	17	which	which	PRON
ejpam-5793	43	18	often	often	ADV
ejpam-5793	43	19	renders	render	VERB
ejpam-5793	43	20	traditional	traditional	ADJ
ejpam-5793	43	21	methods	method	NOUN
ejpam-5793	43	22	ineffective	ineffective	ADJ
ejpam-5793	43	23	.	.	PUNCT
ejpam-5793	44	1	as	as	ADP
ejpam-5793	44	2	a	a	DET
ejpam-5793	44	3	result	result	NOUN
ejpam-5793	44	4	,	,	PUNCT
ejpam-5793	44	5	there	there	PRON
ejpam-5793	44	6	is	be	VERB
ejpam-5793	44	7	a	a	DET
ejpam-5793	44	8	growing	grow	VERB
ejpam-5793	44	9	demand	demand	NOUN
ejpam-5793	44	10	for	for	ADP
ejpam-5793	44	11	efficient	efficient	ADJ
ejpam-5793	44	12	computational	computational	ADJ
ejpam-5793	44	13	techniques	technique	NOUN
ejpam-5793	44	14	that	that	PRON
ejpam-5793	44	15	provide	provide	VERB
ejpam-5793	44	16	accurate	accurate	ADJ
ejpam-5793	44	17	approximations	approximation	NOUN
ejpam-5793	44	18	.	.	PUNCT
ejpam-5793	45	1	among	among	ADP
ejpam-5793	45	2	various	various	ADJ
ejpam-5793	45	3	techniques	technique	NOUN
ejpam-5793	45	4	,	,	PUNCT
ejpam-5793	45	5	meshless	meshless	ADJ
ejpam-5793	45	6	methods	method	NOUN
ejpam-5793	45	7	have	have	AUX
ejpam-5793	45	8	demonstrated	demonstrate	VERB
ejpam-5793	45	9	effectiveness	effectiveness	NOUN
ejpam-5793	45	10	and	and	CCONJ
ejpam-5793	45	11	accuracy	accuracy	NOUN
ejpam-5793	45	12	,	,	PUNCT
ejpam-5793	45	13	making	make	VERB
ejpam-5793	45	14	them	they	PRON
ejpam-5793	45	15	suitable	suitable	ADJ
ejpam-5793	45	16	for	for	ADP
ejpam-5793	45	17	a	a	DET
ejpam-5793	45	18	diverse	diverse	ADJ
ejpam-5793	45	19	array	array	NOUN
ejpam-5793	45	20	of	of	ADP
ejpam-5793	45	21	both	both	CCONJ
ejpam-5793	45	22	fractional	fractional	ADJ
ejpam-5793	45	23	and	and	CCONJ
ejpam-5793	45	24	non	non	ADJ
ejpam-5793	45	25	-	-	ADJ
ejpam-5793	45	26	fractional	fractional	ADJ
ejpam-5793	45	27	pdes	pde	NOUN
ejpam-5793	45	28	.	.	PUNCT
ejpam-5793	46	1	several	several	ADJ
ejpam-5793	46	2	meshless	meshless	ADJ
ejpam-5793	46	3	approaches	approach	NOUN
ejpam-5793	46	4	are	be	AUX
ejpam-5793	46	5	available	available	ADJ
ejpam-5793	46	6	,	,	PUNCT
ejpam-5793	46	7	including	include	VERB
ejpam-5793	46	8	the	the	DET
ejpam-5793	46	9	moving	move	VERB
ejpam-5793	46	10	least	least	ADJ
ejpam-5793	46	11	squares	square	NOUN
ejpam-5793	46	12	method	method	NOUN
ejpam-5793	46	13	,	,	PUNCT
ejpam-5793	46	14	the	the	DET
ejpam-5793	46	15	natural	natural	ADJ
ejpam-5793	46	16	element	element	NOUN
ejpam-5793	46	17	method	method	NOUN
ejpam-5793	46	18	,	,	PUNCT
ejpam-5793	46	19	the	the	DET
ejpam-5793	46	20	reproducing	reproduce	VERB
ejpam-5793	46	21	kernel	kernel	NOUN
ejpam-5793	46	22	particle	particle	NOUN
ejpam-5793	46	23	method	method	NOUN
ejpam-5793	46	24	,	,	PUNCT
ejpam-5793	46	25	the	the	DET
ejpam-5793	46	26	meshless	meshless	ADJ
ejpam-5793	46	27	rbf	rbf	PROPN
ejpam-5793	46	28	methods	method	NOUN
ejpam-5793	46	29	,	,	PUNCT
ejpam-5793	46	30	and	and	CCONJ
ejpam-5793	46	31	meshless	meshless	ADJ
ejpam-5793	46	32	methods	method	NOUN
ejpam-5793	46	33	based	base	VERB
ejpam-5793	46	34	on	on	ADP
ejpam-5793	46	35	lucas	lucas	PROPN
ejpam-5793	46	36	and	and	CCONJ
ejpam-5793	46	37	fibonacci	fibonacci	NOUN
ejpam-5793	46	38	polynomials	polynomial	NOUN
ejpam-5793	46	39	.	.	PUNCT
ejpam-5793	47	1	the	the	DET
ejpam-5793	47	2	primary	primary	ADJ
ejpam-5793	47	3	objective	objective	NOUN
ejpam-5793	47	4	of	of	ADP
ejpam-5793	47	5	this	this	DET
ejpam-5793	47	6	study	study	NOUN
ejpam-5793	47	7	is	be	AUX
ejpam-5793	47	8	to	to	PART
ejpam-5793	47	9	implement	implement	VERB
ejpam-5793	47	10	a	a	DET
ejpam-5793	47	11	hybrid	hybrid	ADJ
ejpam-5793	47	12	method	method	NOUN
ejpam-5793	47	13	that	that	PRON
ejpam-5793	47	14	utilizes	utilize	VERB
ejpam-5793	47	15	the	the	DET
ejpam-5793	47	16	connection	connection	NOUN
ejpam-5793	47	17	between	between	ADP
ejpam-5793	47	18	fibonacci	fibonacci	PROPN
ejpam-5793	47	19	and	and	CCONJ
ejpam-5793	47	20	lucas	lucas	PROPN
ejpam-5793	47	21	polynomials	polynomial	NOUN
ejpam-5793	47	22	to	to	PART
ejpam-5793	47	23	numerically	numerically	ADV
ejpam-5793	47	24	solve	solve	VERB
ejpam-5793	47	25	the	the	DET
ejpam-5793	47	26	proposed	propose	VERB
ejpam-5793	47	27	fractional	fractional	ADJ
ejpam-5793	47	28	model	model	NOUN
ejpam-5793	47	29	.	.	PUNCT
ejpam-5793	48	1	the	the	DET
ejpam-5793	48	2	method	method	NOUN
ejpam-5793	48	3	integrates	integrate	VERB
ejpam-5793	48	4	the	the	DET
ejpam-5793	48	5	strang	strang	PROPN
ejpam-5793	48	6	splitting	splitting	NOUN
ejpam-5793	48	7	technique	technique	NOUN
ejpam-5793	48	8	with	with	ADP
ejpam-5793	48	9	the	the	DET
ejpam-5793	48	10	liouvillecaputo	liouvillecaputo	NOUN
ejpam-5793	48	11	fractional	fractional	ADJ
ejpam-5793	48	12	derivative	derivative	ADJ
ejpam-5793	48	13	framework	framework	NOUN
ejpam-5793	48	14	to	to	PART
ejpam-5793	48	15	address	address	VERB
ejpam-5793	48	16	the	the	DET
ejpam-5793	48	17	temporal	temporal	ADJ
ejpam-5793	48	18	aspect	aspect	NOUN
ejpam-5793	48	19	.	.	PUNCT
ejpam-5793	49	1	this	this	DET
ejpam-5793	49	2	approach	approach	NOUN
ejpam-5793	49	3	facilitates	facilitate	VERB
ejpam-5793	49	4	the	the	DET
ejpam-5793	49	5	application	application	NOUN
ejpam-5793	49	6	of	of	ADP
ejpam-5793	49	7	higher	high	ADJ
ejpam-5793	49	8	-	-	PUNCT
ejpam-5793	49	9	order	order	NOUN
ejpam-5793	49	10	derivatives	derivative	NOUN
ejpam-5793	49	11	,	,	PUNCT
ejpam-5793	49	12	improves	improve	VERB
ejpam-5793	49	13	accuracy	accuracy	NOUN
ejpam-5793	49	14	even	even	ADV
ejpam-5793	49	15	with	with	ADP
ejpam-5793	49	16	a	a	DET
ejpam-5793	49	17	coarser	coarse	ADJ
ejpam-5793	49	18	number	number	NOUN
ejpam-5793	49	19	of	of	ADP
ejpam-5793	49	20	collocation	collocation	NOUN
ejpam-5793	49	21	points	point	NOUN
ejpam-5793	49	22	,	,	PUNCT
ejpam-5793	49	23	and	and	CCONJ
ejpam-5793	49	24	ultimately	ultimately	ADV
ejpam-5793	49	25	reduces	reduce	VERB
ejpam-5793	49	26	computational	computational	ADJ
ejpam-5793	49	27	costs	cost	NOUN
ejpam-5793	49	28	.	.	PUNCT
ejpam-5793	50	1	additionally	additionally	ADV
ejpam-5793	50	2	,	,	PUNCT
ejpam-5793	50	3	these	these	DET
ejpam-5793	50	4	polynomials	polynomial	NOUN
ejpam-5793	50	5	are	be	AUX
ejpam-5793	50	6	known	know	VERB
ejpam-5793	50	7	for	for	ADP
ejpam-5793	50	8	their	their	PRON
ejpam-5793	50	9	beneficial	beneficial	ADJ
ejpam-5793	50	10	applications	application	NOUN
ejpam-5793	50	11	in	in	ADP
ejpam-5793	50	12	differential	differential	ADJ
ejpam-5793	50	13	equations	equation	NOUN
ejpam-5793	50	14	(	(	PUNCT
ejpam-5793	50	15	des	des	PROPN
ejpam-5793	50	16	)	)	PUNCT
ejpam-5793	50	17	.	.	PUNCT
ejpam-5793	51	1	previous	previous	ADJ
ejpam-5793	51	2	research	research	NOUN
ejpam-5793	51	3	has	have	AUX
ejpam-5793	51	4	shown	show	VERB
ejpam-5793	51	5	that	that	SCONJ
ejpam-5793	51	6	effectively	effectively	ADV
ejpam-5793	51	7	tackling	tackle	VERB
ejpam-5793	51	8	boundary	boundary	ADJ
ejpam-5793	51	9	value	value	NOUN
ejpam-5793	51	10	problems	problem	NOUN
ejpam-5793	51	11	necessitates	necessitate	VERB
ejpam-5793	51	12	an	an	DET
ejpam-5793	51	13	understanding	understanding	NOUN
ejpam-5793	51	14	of	of	ADP
ejpam-5793	51	15	the	the	DET
ejpam-5793	51	16	relationship	relationship	NOUN
ejpam-5793	51	17	between	between	ADP
ejpam-5793	51	18	lucas	lucas	PROPN
ejpam-5793	51	19	and	and	CCONJ
ejpam-5793	51	20	chebyshev	chebyshev	NOUN
ejpam-5793	51	21	polynomials	polynomial	NOUN
ejpam-5793	51	22	.	.	PUNCT
ejpam-5793	52	1	for	for	ADP
ejpam-5793	52	2	example	example	NOUN
ejpam-5793	52	3	,	,	PUNCT
ejpam-5793	52	4	the	the	DET
ejpam-5793	52	5	lucas	lucas	NOUN
ejpam-5793	52	6	polynomials	polynomial	NOUN
ejpam-5793	52	7	have	have	AUX
ejpam-5793	52	8	proven	prove	VERB
ejpam-5793	52	9	useful	useful	ADJ
ejpam-5793	52	10	in	in	ADP
ejpam-5793	52	11	solving	solve	VERB
ejpam-5793	52	12	higher	high	ADJ
ejpam-5793	52	13	-	-	PUNCT
ejpam-5793	52	14	order	order	NOUN
ejpam-5793	52	15	des	de	NOUN
ejpam-5793	53	1	[	[	X
ejpam-5793	53	2	19	19	NUM
ejpam-5793	53	3	]	]	PUNCT
ejpam-5793	53	4	.	.	PUNCT
ejpam-5793	54	1	additionally	additionally	ADV
ejpam-5793	54	2	,	,	PUNCT
ejpam-5793	54	3	studies	study	NOUN
ejpam-5793	54	4	indicate	indicate	VERB
ejpam-5793	54	5	that	that	SCONJ
ejpam-5793	54	6	fibonacci	fibonacci	NOUN
ejpam-5793	54	7	polynomials	polynomial	NOUN
ejpam-5793	54	8	can	can	AUX
ejpam-5793	54	9	be	be	AUX
ejpam-5793	54	10	employed	employ	VERB
ejpam-5793	54	11	to	to	PART
ejpam-5793	54	12	solve	solve	VERB
ejpam-5793	54	13	volterra	volterra	NOUN
ejpam-5793	54	14	-	-	PUNCT
ejpam-5793	54	15	fredholm	fredholm	NOUN
ejpam-5793	54	16	integral	integral	ADJ
ejpam-5793	54	17	des	de	NOUN
ejpam-5793	54	18	effectively	effectively	ADV
ejpam-5793	54	19	[	[	X
ejpam-5793	54	20	39	39	NUM
ejpam-5793	54	21	]	]	PUNCT
ejpam-5793	54	22	.	.	PUNCT
ejpam-5793	55	1	moreover	moreover	ADV
ejpam-5793	55	2	,	,	PUNCT
ejpam-5793	55	3	a	a	DET
ejpam-5793	55	4	hybrid	hybrid	ADJ
ejpam-5793	55	5	method	method	NOUN
ejpam-5793	55	6	that	that	PRON
ejpam-5793	55	7	integrates	integrate	VERB
ejpam-5793	55	8	taylor	taylor	PROPN
ejpam-5793	55	9	and	and	CCONJ
ejpam-5793	55	10	lucas	lucas	PROPN
ejpam-5793	55	11	polynomials	polynomial	NOUN
ejpam-5793	55	12	for	for	ADP
ejpam-5793	55	13	solving	solve	VERB
ejpam-5793	55	14	delay	delay	NOUN
ejpam-5793	55	15	difference	difference	NOUN
ejpam-5793	55	16	equations	equation	NOUN
ejpam-5793	55	17	has	have	AUX
ejpam-5793	55	18	also	also	ADV
ejpam-5793	55	19	been	be	AUX
ejpam-5793	55	20	proposed	propose	VERB
ejpam-5793	55	21	[	[	X
ejpam-5793	55	22	13	13	NUM
ejpam-5793	55	23	]	]	PUNCT
ejpam-5793	55	24	.	.	PUNCT
ejpam-5793	56	1	the	the	DET
ejpam-5793	56	2	integration	integration	NOUN
ejpam-5793	56	3	of	of	ADP
ejpam-5793	56	4	hybrid	hybrid	NOUN
ejpam-5793	56	5	fibonacci	fibonacci	PROPN
ejpam-5793	56	6	and	and	CCONJ
ejpam-5793	56	7	lucas	lucas	PROPN
ejpam-5793	56	8	polynomial	polynomial	ADJ
ejpam-5793	56	9	algorithms	algorithm	NOUN
ejpam-5793	56	10	has	have	AUX
ejpam-5793	56	11	enabled	enable	VERB
ejpam-5793	56	12	innovative	innovative	ADJ
ejpam-5793	56	13	solutions	solution	NOUN
ejpam-5793	56	14	for	for	ADP
ejpam-5793	56	15	time	time	NOUN
ejpam-5793	56	16	-	-	PUNCT
ejpam-5793	56	17	dependent	dependent	ADJ
ejpam-5793	56	18	pdes	pde	NOUN
ejpam-5793	56	19	[	[	X
ejpam-5793	56	20	41	41	NUM
ejpam-5793	56	21	]	]	PUNCT
ejpam-5793	56	22	.	.	PUNCT
ejpam-5793	57	1	furthermore	furthermore	ADV
ejpam-5793	57	2	,	,	PUNCT
ejpam-5793	57	3	the	the	DET
ejpam-5793	57	4	integration	integration	NOUN
ejpam-5793	57	5	of	of	ADP
ejpam-5793	57	6	lucas	lucas	PROPN
ejpam-5793	57	7	polynomials	polynomial	NOUN
ejpam-5793	57	8	with	with	ADP
ejpam-5793	57	9	finite	finite	ADJ
ejpam-5793	57	10	difference	difference	NOUN
ejpam-5793	57	11	techniques	technique	NOUN
ejpam-5793	57	12	has	have	AUX
ejpam-5793	57	13	yielded	yield	VERB
ejpam-5793	57	14	efficient	efficient	ADJ
ejpam-5793	57	15	numerical	numerical	ADJ
ejpam-5793	57	16	schemes	scheme	NOUN
ejpam-5793	57	17	for	for	ADP
ejpam-5793	57	18	diverse	diverse	ADJ
ejpam-5793	57	19	pde	pde	NOUN
ejpam-5793	57	20	models	model	NOUN
ejpam-5793	57	21	[	[	X
ejpam-5793	57	22	4	4	NUM
ejpam-5793	57	23	,	,	PUNCT
ejpam-5793	57	24	6	6	NUM
ejpam-5793	57	25	]	]	PUNCT
ejpam-5793	57	26	.	.	PUNCT
ejpam-5793	58	1	1.1	1.1	NUM
ejpam-5793	58	2	.	.	PUNCT
ejpam-5793	59	1	motivation	motivation	NOUN
ejpam-5793	59	2	this	this	DET
ejpam-5793	59	3	study	study	NOUN
ejpam-5793	59	4	focuses	focus	VERB
ejpam-5793	59	5	on	on	ADP
ejpam-5793	59	6	developing	develop	VERB
ejpam-5793	59	7	a	a	DET
ejpam-5793	59	8	relatively	relatively	ADV
ejpam-5793	59	9	new	new	ADJ
ejpam-5793	59	10	numerical	numerical	ADJ
ejpam-5793	59	11	method	method	NOUN
ejpam-5793	59	12	for	for	ADP
ejpam-5793	59	13	solving	solve	VERB
ejpam-5793	59	14	the	the	DET
ejpam-5793	59	15	time	time	NOUN
ejpam-5793	59	16	-	-	PUNCT
ejpam-5793	59	17	fractional	fractional	ADJ
ejpam-5793	59	18	black	black	ADJ
ejpam-5793	59	19	-	-	PUNCT
ejpam-5793	59	20	scholes	schole	NOUN
ejpam-5793	59	21	model	model	NOUN
ejpam-5793	59	22	(	(	PUNCT
ejpam-5793	59	23	tfbsm	tfbsm	ADJ
ejpam-5793	59	24	)	)	PUNCT
ejpam-5793	59	25	,	,	PUNCT
ejpam-5793	59	26	applicable	applicable	ADJ
ejpam-5793	59	27	to	to	ADP
ejpam-5793	59	28	various	various	ADJ
ejpam-5793	59	29	financial	financial	ADJ
ejpam-5793	59	30	derivatives	derivative	NOUN
ejpam-5793	59	31	,	,	PUNCT
ejpam-5793	59	32	including	include	VERB
ejpam-5793	59	33	digital	digital	ADJ
ejpam-5793	59	34	options	option	NOUN
ejpam-5793	59	35	,	,	PUNCT
ejpam-5793	59	36	butterfly	butterfly	NOUN
ejpam-5793	59	37	spreads	spread	NOUN
ejpam-5793	59	38	,	,	PUNCT
ejpam-5793	59	39	double	double	ADJ
ejpam-5793	59	40	barriers	barrier	NOUN
ejpam-5793	59	41	,	,	PUNCT
ejpam-5793	59	42	and	and	CCONJ
ejpam-5793	59	43	traditional	traditional	ADJ
ejpam-5793	59	44	options	option	NOUN
ejpam-5793	59	45	(	(	PUNCT
ejpam-5793	59	46	both	both	CCONJ
ejpam-5793	59	47	european	european	ADJ
ejpam-5793	59	48	and	and	CCONJ
ejpam-5793	59	49	american	american	ADJ
ejpam-5793	59	50	)	)	PUNCT
ejpam-5793	59	51	.	.	PUNCT
ejpam-5793	60	1	the	the	DET
ejpam-5793	60	2	proposed	propose	VERB
ejpam-5793	60	3	solution	solution	NOUN
ejpam-5793	60	4	integrates	integrate	VERB
ejpam-5793	60	5	the	the	DET
ejpam-5793	60	6	strang	strang	PROPN
ejpam-5793	60	7	splitting	splitting	NOUN
ejpam-5793	60	8	technique	technique	NOUN
ejpam-5793	60	9	with	with	ADP
ejpam-5793	60	10	the	the	DET
ejpam-5793	60	11	liouville	liouville	PROPN
ejpam-5793	60	12	-	-	PUNCT
ejpam-5793	60	13	caputo	caputo	PROPN
ejpam-5793	60	14	fractional	fractional	ADJ
ejpam-5793	60	15	derivative	derivative	ADJ
ejpam-5793	60	16	framework	framework	NOUN
ejpam-5793	60	17	to	to	PART
ejpam-5793	60	18	handle	handle	VERB
ejpam-5793	60	19	the	the	DET
ejpam-5793	60	20	temporal	temporal	ADJ
ejpam-5793	60	21	aspect	aspect	NOUN
ejpam-5793	60	22	.	.	PUNCT
ejpam-5793	61	1	for	for	ADP
ejpam-5793	61	2	spatial	spatial	ADJ
ejpam-5793	61	3	derivatives	derivative	NOUN
ejpam-5793	61	4	,	,	PUNCT
ejpam-5793	61	5	a	a	DET
ejpam-5793	61	6	meshless	meshless	ADJ
ejpam-5793	61	7	method	method	NOUN
ejpam-5793	61	8	using	use	VERB
ejpam-5793	61	9	fibonacci	fibonacci	PROPN
ejpam-5793	61	10	and	and	CCONJ
ejpam-5793	61	11	lucas	lucas	PROPN
ejpam-5793	61	12	polynomials	polynomial	NOUN
ejpam-5793	61	13	is	be	AUX
ejpam-5793	61	14	employed	employ	VERB
ejpam-5793	61	15	.	.	PUNCT
ejpam-5793	62	1	given	give	VERB
ejpam-5793	62	2	the	the	DET
ejpam-5793	62	3	complexity	complexity	NOUN
ejpam-5793	62	4	of	of	ADP
ejpam-5793	62	5	fractional	fractional	ADJ
ejpam-5793	62	6	pde	pde	NOUN
ejpam-5793	62	7	models	model	NOUN
ejpam-5793	62	8	,	,	PUNCT
ejpam-5793	62	9	accurate	accurate	ADJ
ejpam-5793	62	10	and	and	CCONJ
ejpam-5793	62	11	efficient	efficient	ADJ
ejpam-5793	62	12	numerical	numerical	ADJ
ejpam-5793	62	13	methods	method	NOUN
ejpam-5793	62	14	are	be	AUX
ejpam-5793	62	15	essential	essential	ADJ
ejpam-5793	62	16	,	,	PUNCT
ejpam-5793	62	17	as	as	SCONJ
ejpam-5793	62	18	they	they	PRON
ejpam-5793	62	19	often	often	ADV
ejpam-5793	62	20	hinder	hinder	VERB
ejpam-5793	62	21	the	the	DET
ejpam-5793	62	22	availability	availability	NOUN
ejpam-5793	62	23	of	of	ADP
ejpam-5793	62	24	closed	closed	ADJ
ejpam-5793	62	25	-	-	PUNCT
ejpam-5793	62	26	form	form	NOUN
ejpam-5793	62	27	analytical	analytical	ADJ
ejpam-5793	62	28	solutions	solution	NOUN
ejpam-5793	62	29	.	.	PUNCT
ejpam-5793	63	1	this	this	DET
ejpam-5793	63	2	study	study	NOUN
ejpam-5793	63	3	develops	develop	VERB
ejpam-5793	63	4	a	a	DET
ejpam-5793	63	5	robust	robust	ADJ
ejpam-5793	63	6	numerical	numerical	ADJ
ejpam-5793	63	7	framework	framework	NOUN
ejpam-5793	63	8	for	for	ADP
ejpam-5793	63	9	managing	manage	VERB
ejpam-5793	63	10	the	the	DET
ejpam-5793	63	11	tfbsm	tfbsm	NOUN
ejpam-5793	63	12	applied	apply	VERB
ejpam-5793	63	13	to	to	ADP
ejpam-5793	63	14	complex	complex	ADJ
ejpam-5793	63	15	option	option	NOUN
ejpam-5793	63	16	structures	structure	NOUN
ejpam-5793	63	17	.	.	PUNCT
ejpam-5793	64	1	additionally	additionally	ADV
ejpam-5793	64	2	,	,	PUNCT
ejpam-5793	64	3	the	the	DET
ejpam-5793	64	4	non	non	ADJ
ejpam-5793	64	5	-	-	NOUN
ejpam-5793	64	6	orthogonality	orthogonality	NOUN
ejpam-5793	64	7	of	of	ADP
ejpam-5793	64	8	lucas	lucas	PROPN
ejpam-5793	64	9	and	and	CCONJ
ejpam-5793	64	10	fibonacci	fibonacci	NOUN
ejpam-5793	64	11	polynomials	polynomial	NOUN
ejpam-5793	64	12	,	,	PUNCT
ejpam-5793	64	13	unlike	unlike	ADP
ejpam-5793	64	14	orthogonal	orthogonal	ADJ
ejpam-5793	64	15	polynomials	polynomial	NOUN
ejpam-5793	64	16	such	such	ADJ
ejpam-5793	64	17	as	as	ADP
ejpam-5793	64	18	chebyshev	chebyshev	NOUN
ejpam-5793	64	19	,	,	PUNCT
ejpam-5793	64	20	removes	remove	VERB
ejpam-5793	64	21	the	the	DET
ejpam-5793	64	22	necessity	necessity	NOUN
ejpam-5793	64	23	for	for	ADP
ejpam-5793	64	24	interval	interval	NOUN
ejpam-5793	64	25	transformations	transformation	NOUN
ejpam-5793	64	26	.	.	PUNCT
ejpam-5793	65	1	this	this	DET
ejpam-5793	65	2	simplification	simplification	NOUN
ejpam-5793	65	3	enhances	enhance	VERB
ejpam-5793	65	4	the	the	DET
ejpam-5793	65	5	approximation	approximation	NOUN
ejpam-5793	65	6	of	of	ADP
ejpam-5793	65	7	higher	high	ADJ
ejpam-5793	65	8	-	-	PUNCT
ejpam-5793	65	9	order	order	NOUN
ejpam-5793	65	10	derivatives	derivative	NOUN
ejpam-5793	65	11	for	for	ADP
ejpam-5793	65	12	unknown	unknown	ADJ
ejpam-5793	65	13	functions	function	NOUN
ejpam-5793	65	14	.	.	PUNCT
ejpam-5793	66	1	as	as	ADP
ejpam-5793	66	2	a	a	DET
ejpam-5793	66	3	result	result	NOUN
ejpam-5793	66	4	,	,	PUNCT
ejpam-5793	66	5	the	the	DET
ejpam-5793	66	6	method	method	NOUN
ejpam-5793	66	7	boosts	boost	VERB
ejpam-5793	66	8	computational	computational	ADJ
ejpam-5793	66	9	accuracy	accuracy	NOUN
ejpam-5793	66	10	,	,	PUNCT
ejpam-5793	66	11	even	even	ADV
ejpam-5793	66	12	with	with	ADP
ejpam-5793	66	13	coarser	coarse	ADJ
ejpam-5793	66	14	discretizations	discretization	NOUN
ejpam-5793	66	15	,	,	PUNCT
ejpam-5793	66	16	and	and	CCONJ
ejpam-5793	66	17	offers	offer	VERB
ejpam-5793	66	18	a	a	DET
ejpam-5793	66	19	stable	stable	ADJ
ejpam-5793	66	20	approach	approach	NOUN
ejpam-5793	66	21	to	to	ADP
ejpam-5793	66	22	imtiaz	imtiaz	PROPN
ejpam-5793	66	23	ahmad	ahmad	PROPN
ejpam-5793	66	24	et	et	PROPN
ejpam-5793	66	25	al	al	PROPN
ejpam-5793	66	26	.	.	PUNCT
ejpam-5793	66	27	/	/	SYM
ejpam-5793	66	28	eur	eur	PROPN
ejpam-5793	66	29	.	.	PUNCT
ejpam-5793	67	1	j.	j.	PROPN
ejpam-5793	67	2	pure	pure	PROPN
ejpam-5793	67	3	appl	appl	PROPN
ejpam-5793	67	4	.	.	PROPN
ejpam-5793	67	5	math	math	PROPN
ejpam-5793	67	6	,	,	PUNCT
ejpam-5793	67	7	18	18	NUM
ejpam-5793	67	8	(	(	PUNCT
ejpam-5793	67	9	1	1	NUM
ejpam-5793	67	10	)	)	PUNCT
ejpam-5793	67	11	(	(	PUNCT
ejpam-5793	67	12	2025	2025	NUM
ejpam-5793	67	13	)	)	PUNCT
ejpam-5793	67	14	,	,	PUNCT
ejpam-5793	67	15	5793	5793	NUM
ejpam-5793	67	16	4	4	NUM
ejpam-5793	67	17	of	of	ADP
ejpam-5793	67	18	27	27	NUM
ejpam-5793	67	19	addressing	address	VERB
ejpam-5793	67	20	the	the	DET
ejpam-5793	67	21	complexities	complexity	NOUN
ejpam-5793	67	22	inherent	inherent	ADJ
ejpam-5793	67	23	in	in	ADP
ejpam-5793	67	24	fractional	fractional	ADJ
ejpam-5793	67	25	pdes	pde	NOUN
ejpam-5793	67	26	.	.	PUNCT
ejpam-5793	68	1	the	the	DET
ejpam-5793	68	2	structure	structure	NOUN
ejpam-5793	68	3	of	of	ADP
ejpam-5793	68	4	this	this	DET
ejpam-5793	68	5	paper	paper	NOUN
ejpam-5793	68	6	is	be	AUX
ejpam-5793	68	7	organized	organize	VERB
ejpam-5793	68	8	as	as	SCONJ
ejpam-5793	68	9	follows	follow	VERB
ejpam-5793	68	10	:	:	PUNCT
ejpam-5793	68	11	section	section	NOUN
ejpam-5793	68	12	2	2	NUM
ejpam-5793	68	13	introduces	introduce	VERB
ejpam-5793	68	14	essential	essential	ADJ
ejpam-5793	68	15	concepts	concept	NOUN
ejpam-5793	68	16	and	and	CCONJ
ejpam-5793	68	17	foundational	foundational	ADJ
ejpam-5793	68	18	principles	principle	NOUN
ejpam-5793	68	19	in	in	ADP
ejpam-5793	68	20	fractional	fractional	ADJ
ejpam-5793	68	21	calculus	calculus	NOUN
ejpam-5793	68	22	and	and	CCONJ
ejpam-5793	68	23	polynomial	polynomial	ADJ
ejpam-5793	68	24	theory	theory	NOUN
ejpam-5793	68	25	.	.	PUNCT
ejpam-5793	69	1	section	section	NOUN
ejpam-5793	69	2	3	3	NUM
ejpam-5793	69	3	presents	present	VERB
ejpam-5793	69	4	an	an	DET
ejpam-5793	69	5	overview	overview	NOUN
ejpam-5793	69	6	and	and	CCONJ
ejpam-5793	69	7	literature	literature	NOUN
ejpam-5793	69	8	review	review	NOUN
ejpam-5793	69	9	of	of	ADP
ejpam-5793	69	10	the	the	DET
ejpam-5793	69	11	black	black	ADJ
ejpam-5793	69	12	-	-	PUNCT
ejpam-5793	69	13	scholes	schole	NOUN
ejpam-5793	69	14	model	model	NOUN
ejpam-5793	69	15	.	.	PUNCT
ejpam-5793	70	1	section	section	NOUN
ejpam-5793	70	2	4	4	NUM
ejpam-5793	70	3	details	detail	NOUN
ejpam-5793	70	4	the	the	DET
ejpam-5793	70	5	proposed	propose	VERB
ejpam-5793	70	6	numerical	numerical	ADJ
ejpam-5793	70	7	methodology	methodology	PROPN
ejpam-5793	70	8	.	.	PUNCT
ejpam-5793	71	1	in	in	ADP
ejpam-5793	71	2	section	section	NOUN
ejpam-5793	71	3	5	5	NUM
ejpam-5793	71	4	,	,	PUNCT
ejpam-5793	71	5	the	the	DET
ejpam-5793	71	6	numerical	numerical	ADJ
ejpam-5793	71	7	results	result	NOUN
ejpam-5793	71	8	are	be	AUX
ejpam-5793	71	9	presented	present	VERB
ejpam-5793	71	10	and	and	CCONJ
ejpam-5793	71	11	analyzed	analyze	VERB
ejpam-5793	71	12	.	.	PUNCT
ejpam-5793	72	1	lastly	lastly	ADV
ejpam-5793	72	2	,	,	PUNCT
ejpam-5793	72	3	section	section	NOUN
ejpam-5793	72	4	6	6	NUM
ejpam-5793	72	5	provides	provide	VERB
ejpam-5793	72	6	concluding	concluding	NOUN
ejpam-5793	72	7	remarks	remark	NOUN
ejpam-5793	72	8	.	.	PUNCT
ejpam-5793	73	1	2	2	X
ejpam-5793	73	2	.	.	NUM
ejpam-5793	73	3	basic	basic	ADJ
ejpam-5793	73	4	concepts	concept	NOUN
ejpam-5793	73	5	in	in	ADP
ejpam-5793	73	6	polynomial	polynomial	ADJ
ejpam-5793	73	7	theory	theory	NOUN
ejpam-5793	73	8	and	and	CCONJ
ejpam-5793	73	9	fractional	fractional	ADJ
ejpam-5793	73	10	calculus	calculus	NOUN
ejpam-5793	73	11	fractional	fractional	ADJ
ejpam-5793	73	12	derivatives	derivative	NOUN
ejpam-5793	73	13	are	be	AUX
ejpam-5793	73	14	essential	essential	ADJ
ejpam-5793	73	15	operators	operator	NOUN
ejpam-5793	73	16	in	in	ADP
ejpam-5793	73	17	fractional	fractional	ADJ
ejpam-5793	73	18	calculus	calculus	NOUN
ejpam-5793	73	19	[	[	X
ejpam-5793	73	20	9	9	NUM
ejpam-5793	73	21	,	,	PUNCT
ejpam-5793	73	22	36	36	NUM
ejpam-5793	73	23	,	,	PUNCT
ejpam-5793	73	24	37	37	NUM
ejpam-5793	73	25	]	]	PUNCT
ejpam-5793	73	26	,	,	PUNCT
ejpam-5793	73	27	with	with	ADP
ejpam-5793	73	28	applications	application	NOUN
ejpam-5793	73	29	spanning	span	VERB
ejpam-5793	73	30	various	various	ADJ
ejpam-5793	73	31	fields	field	NOUN
ejpam-5793	73	32	such	such	ADJ
ejpam-5793	73	33	as	as	ADP
ejpam-5793	73	34	physics	physics	NOUN
ejpam-5793	73	35	,	,	PUNCT
ejpam-5793	73	36	biology	biology	NOUN
ejpam-5793	73	37	,	,	PUNCT
ejpam-5793	73	38	magnetohydrodynamics	magnetohydrodynamic	NOUN
ejpam-5793	73	39	,	,	PUNCT
ejpam-5793	73	40	engineering	engineering	NOUN
ejpam-5793	73	41	,	,	PUNCT
ejpam-5793	73	42	and	and	CCONJ
ejpam-5793	73	43	finance	finance	NOUN
ejpam-5793	73	44	.	.	PUNCT
ejpam-5793	74	1	this	this	DET
ejpam-5793	74	2	mathematical	mathematical	ADJ
ejpam-5793	74	3	framework	framework	NOUN
ejpam-5793	74	4	enables	enable	VERB
ejpam-5793	74	5	the	the	DET
ejpam-5793	74	6	effective	effective	ADJ
ejpam-5793	74	7	modeling	modeling	NOUN
ejpam-5793	74	8	of	of	ADP
ejpam-5793	74	9	intricate	intricate	ADJ
ejpam-5793	74	10	processes	process	NOUN
ejpam-5793	74	11	exhibiting	exhibit	VERB
ejpam-5793	74	12	fractal	fractal	ADJ
ejpam-5793	74	13	characteristics	characteristic	NOUN
ejpam-5793	74	14	,	,	PUNCT
ejpam-5793	74	15	memory	memory	NOUN
ejpam-5793	74	16	effects	effect	NOUN
ejpam-5793	74	17	,	,	PUNCT
ejpam-5793	74	18	and	and	CCONJ
ejpam-5793	74	19	non	non	ADJ
ejpam-5793	74	20	-	-	ADJ
ejpam-5793	74	21	local	local	ADJ
ejpam-5793	74	22	interactions	interaction	NOUN
ejpam-5793	74	23	.	.	PUNCT
ejpam-5793	75	1	below	below	ADV
ejpam-5793	75	2	are	be	AUX
ejpam-5793	75	3	some	some	DET
ejpam-5793	75	4	widely	widely	ADV
ejpam-5793	75	5	utilized	utilize	VERB
ejpam-5793	75	6	definitions	definition	NOUN
ejpam-5793	75	7	of	of	ADP
ejpam-5793	75	8	fractional	fractional	ADJ
ejpam-5793	75	9	derivatives	derivative	NOUN
ejpam-5793	75	10	.	.	PUNCT
ejpam-5793	76	1	definition	definition	NOUN
ejpam-5793	76	2	1	1	NUM
ejpam-5793	76	3	:	:	PUNCT
ejpam-5793	76	4	the	the	DET
ejpam-5793	76	5	caputo	caputo	PROPN
ejpam-5793	76	6	’s	’s	PART
ejpam-5793	76	7	fractional	fractional	ADJ
ejpam-5793	76	8	derivative	derivative	NOUN
ejpam-5793	77	1	[	[	X
ejpam-5793	77	2	15	15	NUM
ejpam-5793	77	3	]	]	X
ejpam-5793	77	4	:	:	PUNCT
ejpam-5793	77	5	∂ηp(a	∂ηp(a	PROPN
ejpam-5793	77	6	,	,	PUNCT
ejpam-5793	77	7	t	t	NOUN
ejpam-5793	77	8	)	)	PUNCT
ejpam-5793	77	9	∂t	∂t	PROPN
ejpam-5793	77	10	η	η	PROPN
ejpam-5793	77	11	=	=	PROPN
ejpam-5793	77	12	1	1	NUM
ejpam-5793	77	13	γ	γ	X
ejpam-5793	77	14	(	(	PUNCT
ejpam-5793	77	15	1−	1−	NUM
ejpam-5793	77	16	η	η	NOUN
ejpam-5793	77	17	)	)	PUNCT
ejpam-5793	77	18	t∫	t∫	PROPN
ejpam-5793	77	19	0	0	NUM
ejpam-5793	77	20	∂p(a	∂p(a	PROPN
ejpam-5793	77	21	,	,	PUNCT
ejpam-5793	77	22	ζ	ζ	NOUN
ejpam-5793	77	23	)	)	PUNCT
ejpam-5793	77	24	∂ζ	∂ζ	PROPN
ejpam-5793	77	25	(	(	PUNCT
ejpam-5793	77	26	t	t	PROPN
ejpam-5793	77	27	−	−	X
ejpam-5793	77	28	ζ)−η	ζ)−η	PROPN
ejpam-5793	77	29	dζ	dζ	PROPN
ejpam-5793	77	30	,	,	PUNCT
ejpam-5793	77	31	0	0	PUNCT
ejpam-5793	77	32	<	<	X
ejpam-5793	77	33	η	η	X
ejpam-5793	77	34	<	<	X
ejpam-5793	77	35	1	1	NUM
ejpam-5793	77	36	.	.	PUNCT
ejpam-5793	77	37	(	(	PUNCT
ejpam-5793	77	38	1	1	X
ejpam-5793	77	39	)	)	PUNCT
ejpam-5793	77	40	definition	definition	NOUN
ejpam-5793	77	41	2	2	NUM
ejpam-5793	77	42	:	:	PUNCT
ejpam-5793	77	43	the	the	DET
ejpam-5793	77	44	riemann	riemann	PROPN
ejpam-5793	77	45	-	-	PUNCT
ejpam-5793	77	46	liouville	liouville	VERB
ejpam-5793	77	47	derivative	derivative	NOUN
ejpam-5793	77	48	[	[	X
ejpam-5793	77	49	32	32	NUM
ejpam-5793	77	50	]	]	SYM
ejpam-5793	77	51	:	:	PUNCT
ejpam-5793	77	52	∂ηp(a	∂ηp(a	PROPN
ejpam-5793	77	53	,	,	PUNCT
ejpam-5793	77	54	t	t	NOUN
ejpam-5793	77	55	)	)	PUNCT
ejpam-5793	77	56	∂t	∂t	PROPN
ejpam-5793	77	57	η	η	PROPN
ejpam-5793	77	58	=	=	PROPN
ejpam-5793	77	59	1	1	NUM
ejpam-5793	77	60	γ	γ	X
ejpam-5793	77	61	(	(	PUNCT
ejpam-5793	77	62	1−	1−	NUM
ejpam-5793	77	63	η	η	NOUN
ejpam-5793	77	64	)	)	PUNCT
ejpam-5793	77	65	d	d	NOUN
ejpam-5793	77	66	dt	dt	X
ejpam-5793	77	67	t∫	t∫	PROPN
ejpam-5793	77	68	t	t	PROPN
ejpam-5793	77	69	(	(	PUNCT
ejpam-5793	77	70	p(a	p(a	PROPN
ejpam-5793	77	71	,	,	PUNCT
ejpam-5793	77	72	ϑ)−	ϑ)−	PROPN
ejpam-5793	77	73	p(a	p(a	PROPN
ejpam-5793	77	74	,	,	PUNCT
ejpam-5793	77	75	t	t	PROPN
ejpam-5793	77	76	)	)	PUNCT
ejpam-5793	77	77	)	)	PUNCT
ejpam-5793	78	1	(	(	PUNCT
ejpam-5793	78	2	ϑ−	ϑ−	PROPN
ejpam-5793	78	3	t	t	NOUN
ejpam-5793	78	4	)	)	PUNCT
ejpam-5793	78	5	η	η	PROPN
ejpam-5793	78	6	dϑ	dϑ	PROPN
ejpam-5793	78	7	,	,	PUNCT
ejpam-5793	78	8	0	0	PUNCT
ejpam-5793	78	9	<	<	X
ejpam-5793	78	10	η	η	X
ejpam-5793	78	11	<	<	X
ejpam-5793	78	12	1	1	NUM
ejpam-5793	78	13	.	.	PUNCT
ejpam-5793	78	14	(	(	PUNCT
ejpam-5793	78	15	2	2	NUM
ejpam-5793	78	16	)	)	PUNCT
ejpam-5793	78	17	2.1	2.1	NUM
ejpam-5793	78	18	.	.	PUNCT
ejpam-5793	79	1	lucas	lucas	PROPN
ejpam-5793	79	2	and	and	CCONJ
ejpam-5793	79	3	fibonacci	fibonacci	PROPN
ejpam-5793	79	4	polynomial	polynomial	PROPN
ejpam-5793	79	5	theory	theory	NOUN
ejpam-5793	79	6	this	this	DET
ejpam-5793	79	7	section	section	NOUN
ejpam-5793	79	8	is	be	AUX
ejpam-5793	79	9	dedicated	dedicate	VERB
ejpam-5793	79	10	to	to	ADP
ejpam-5793	79	11	defining	define	VERB
ejpam-5793	79	12	and	and	CCONJ
ejpam-5793	79	13	applying	apply	VERB
ejpam-5793	79	14	lucas	lucas	NOUN
ejpam-5793	79	15	and	and	CCONJ
ejpam-5793	79	16	fibonacci	fibonacci	NOUN
ejpam-5793	79	17	polynomials	polynomial	NOUN
ejpam-5793	79	18	for	for	ADP
ejpam-5793	79	19	the	the	DET
ejpam-5793	79	20	approximation	approximation	NOUN
ejpam-5793	79	21	of	of	ADP
ejpam-5793	79	22	unknown	unknown	ADJ
ejpam-5793	79	23	functions	function	NOUN
ejpam-5793	79	24	and	and	CCONJ
ejpam-5793	79	25	their	their	PRON
ejpam-5793	79	26	derivatives	derivative	NOUN
ejpam-5793	79	27	.	.	PUNCT
ejpam-5793	80	1	lucas	lucas	NOUN
ejpam-5793	80	2	polynomials	polynomial	NOUN
ejpam-5793	80	3	[	[	X
ejpam-5793	80	4	10	10	NUM
ejpam-5793	80	5	]	]	X
ejpam-5793	80	6	:	:	PUNCT
ejpam-5793	80	7	lucas	lucas	NOUN
ejpam-5793	80	8	polynomials	polynomial	NOUN
ejpam-5793	80	9	can	can	AUX
ejpam-5793	80	10	be	be	AUX
ejpam-5793	80	11	expressed	express	VERB
ejpam-5793	80	12	using	use	VERB
ejpam-5793	80	13	a	a	DET
ejpam-5793	80	14	three	three	NUM
ejpam-5793	80	15	-	-	PUNCT
ejpam-5793	80	16	term	term	NOUN
ejpam-5793	80	17	recurrence	recurrence	NOUN
ejpam-5793	80	18	relation	relation	NOUN
ejpam-5793	80	19	:	:	PUNCT
ejpam-5793	80	20	lk(a	lk(a	X
ejpam-5793	80	21	)	)	PUNCT
ejpam-5793	80	22	=	=	SYM
ejpam-5793	80	23	klk−1(a	klk−1(a	PROPN
ejpam-5793	80	24	)	)	PUNCT
ejpam-5793	81	1	+	+	CCONJ
ejpam-5793	81	2	lk−2(a	lk−2(a	NOUN
ejpam-5793	81	3	)	)	PUNCT
ejpam-5793	81	4	,	,	PUNCT
ejpam-5793	81	5	k	k	PROPN
ejpam-5793	81	6	≥	≥	NUM
ejpam-5793	81	7	2	2	NUM
ejpam-5793	81	8	,	,	PUNCT
ejpam-5793	81	9	(	(	PUNCT
ejpam-5793	81	10	3	3	X
ejpam-5793	81	11	)	)	PUNCT
ejpam-5793	81	12	with	with	ADP
ejpam-5793	81	13	the	the	DET
ejpam-5793	81	14	initial	initial	ADJ
ejpam-5793	81	15	values	value	NOUN
ejpam-5793	81	16	l0(a	l0(a	NUM
ejpam-5793	81	17	)	)	PUNCT
ejpam-5793	81	18	=	=	SYM
ejpam-5793	81	19	2	2	NUM
ejpam-5793	81	20	and	and	CCONJ
ejpam-5793	81	21	l1(a	l1(a	NUM
ejpam-5793	81	22	)	)	PUNCT
ejpam-5793	81	23	=	=	VERB
ejpam-5793	81	24	a.	a.	NOUN
ejpam-5793	81	25	by	by	ADP
ejpam-5793	81	26	allowing	allow	VERB
ejpam-5793	81	27	eq	eq	ADP
ejpam-5793	81	28	.	.	PUNCT
ejpam-5793	81	29	(	(	PUNCT
ejpam-5793	81	30	3	3	X
ejpam-5793	81	31	)	)	PUNCT
ejpam-5793	81	32	to	to	PART
ejpam-5793	81	33	generate	generate	VERB
ejpam-5793	81	34	a	a	DET
ejpam-5793	81	35	sequence	sequence	NOUN
ejpam-5793	81	36	of	of	ADP
ejpam-5793	81	37	lucas	lucas	PROPN
ejpam-5793	81	38	numbers	number	NOUN
ejpam-5793	81	39	a	a	PRON
ejpam-5793	81	40	=	=	SYM
ejpam-5793	81	41	1	1	X
ejpam-5793	81	42	.	.	PUNCT
ejpam-5793	82	1	fibonacci	fibonacci	NOUN
ejpam-5793	82	2	polynomials	polynomial	VERB
ejpam-5793	82	3	[	[	X
ejpam-5793	82	4	10	10	NUM
ejpam-5793	82	5	]	]	X
ejpam-5793	82	6	:	:	PUNCT
ejpam-5793	82	7	fibonacci	fibonacci	NOUN
ejpam-5793	82	8	polynomials	polynomial	NOUN
ejpam-5793	82	9	,	,	PUNCT
ejpam-5793	82	10	which	which	PRON
ejpam-5793	82	11	are	be	AUX
ejpam-5793	82	12	an	an	DET
ejpam-5793	82	13	extension	extension	NOUN
ejpam-5793	82	14	of	of	ADP
ejpam-5793	82	15	fibonacci	fibonacci	NOUN
ejpam-5793	82	16	numbers	number	NOUN
ejpam-5793	82	17	,	,	PUNCT
ejpam-5793	82	18	are	be	AUX
ejpam-5793	82	19	defined	define	VERB
ejpam-5793	82	20	using	use	VERB
ejpam-5793	82	21	a	a	DET
ejpam-5793	82	22	three	three	NUM
ejpam-5793	82	23	-	-	PUNCT
ejpam-5793	82	24	term	term	NOUN
ejpam-5793	82	25	recurrence	recurrence	NOUN
ejpam-5793	82	26	relation	relation	NOUN
ejpam-5793	82	27	:	:	PUNCT
ejpam-5793	82	28	fk(a	fk(a	X
ejpam-5793	82	29	)	)	PUNCT
ejpam-5793	82	30	=	=	SYM
ejpam-5793	82	31	kfk−1(a	kfk−1(a	X
ejpam-5793	82	32	)	)	PUNCT
ejpam-5793	83	1	+	+	NUM
ejpam-5793	83	2	fk−2(a	fk−2(a	NOUN
ejpam-5793	83	3	)	)	PUNCT
ejpam-5793	83	4	,	,	PUNCT
ejpam-5793	83	5	k	k	PROPN
ejpam-5793	83	6	≥	≥	NUM
ejpam-5793	83	7	2	2	NUM
ejpam-5793	83	8	.	.	PUNCT
ejpam-5793	83	9	(	(	PUNCT
ejpam-5793	83	10	4	4	X
ejpam-5793	83	11	)	)	PUNCT
ejpam-5793	83	12	starting	start	VERB
ejpam-5793	83	13	with	with	ADP
ejpam-5793	83	14	f0(a	f0(a	NOUN
ejpam-5793	83	15	)	)	PUNCT
ejpam-5793	83	16	=	=	SYM
ejpam-5793	83	17	0	0	NUM
ejpam-5793	83	18	and	and	CCONJ
ejpam-5793	83	19	f1(a	f1(a	PROPN
ejpam-5793	83	20	)	)	PUNCT
ejpam-5793	83	21	=	=	SYM
ejpam-5793	83	22	1	1	NUM
ejpam-5793	83	23	,	,	PUNCT
ejpam-5793	83	24	the	the	DET
ejpam-5793	83	25	sequence	sequence	NOUN
ejpam-5793	83	26	proceeds	proceed	VERB
ejpam-5793	83	27	.	.	PUNCT
ejpam-5793	84	1	equation	equation	NOUN
ejpam-5793	84	2	(	(	PUNCT
ejpam-5793	84	3	4	4	X
ejpam-5793	84	4	)	)	PUNCT
ejpam-5793	84	5	yields	yield	VERB
ejpam-5793	84	6	the	the	DET
ejpam-5793	84	7	well	well	ADV
ejpam-5793	84	8	-	-	PUNCT
ejpam-5793	84	9	known	know	VERB
ejpam-5793	84	10	fibonacci	fibonacci	NOUN
ejpam-5793	84	11	number	number	NOUN
ejpam-5793	84	12	sequence	sequence	NOUN
ejpam-5793	84	13	for	for	ADP
ejpam-5793	84	14	a	a	DET
ejpam-5793	84	15	=	=	SYM
ejpam-5793	84	16	1	1	NUM
ejpam-5793	84	17	.	.	PUNCT
ejpam-5793	84	18	lemma[10	lemma[10	PROPN
ejpam-5793	84	19	]	]	PUNCT
ejpam-5793	84	20	:	:	PUNCT
ejpam-5793	84	21	the	the	DET
ejpam-5793	84	22	derivative	derivative	NOUN
ejpam-5793	84	23	of	of	ADP
ejpam-5793	84	24	order	order	NOUN
ejpam-5793	84	25	m	m	NOUN
ejpam-5793	84	26	of	of	ADP
ejpam-5793	84	27	the	the	DET
ejpam-5793	84	28	kth	kth	PROPN
ejpam-5793	84	29	lucas	lucas	PROPN
ejpam-5793	84	30	polynomial	polynomial	PROPN
ejpam-5793	84	31	,	,	PUNCT
ejpam-5793	84	32	represented	represent	VERB
ejpam-5793	84	33	by	by	ADP
ejpam-5793	84	34	imtiaz	imtiaz	PROPN
ejpam-5793	84	35	ahmad	ahmad	PROPN
ejpam-5793	84	36	et	et	PROPN
ejpam-5793	84	37	al	al	PROPN
ejpam-5793	84	38	.	.	PUNCT
ejpam-5793	84	39	/	/	SYM
ejpam-5793	84	40	eur	eur	PROPN
ejpam-5793	84	41	.	.	PUNCT
ejpam-5793	85	1	j.	j.	PROPN
ejpam-5793	85	2	pure	pure	PROPN
ejpam-5793	85	3	appl	appl	PROPN
ejpam-5793	85	4	.	.	PROPN
ejpam-5793	85	5	math	math	PROPN
ejpam-5793	85	6	,	,	PUNCT
ejpam-5793	85	7	18	18	NUM
ejpam-5793	85	8	(	(	PUNCT
ejpam-5793	85	9	1	1	NUM
ejpam-5793	85	10	)	)	PUNCT
ejpam-5793	85	11	(	(	PUNCT
ejpam-5793	85	12	2025	2025	NUM
ejpam-5793	85	13	)	)	PUNCT
ejpam-5793	85	14	,	,	PUNCT
ejpam-5793	85	15	5793	5793	NUM
ejpam-5793	85	16	5	5	NUM
ejpam-5793	85	17	of	of	ADP
ejpam-5793	85	18	27	27	NUM
ejpam-5793	85	19	lk(a	lk(a	NOUN
ejpam-5793	85	20	)	)	PUNCT
ejpam-5793	85	21	,	,	PUNCT
ejpam-5793	85	22	can	can	AUX
ejpam-5793	85	23	be	be	AUX
ejpam-5793	85	24	formulated	formulate	VERB
ejpam-5793	85	25	using	use	VERB
ejpam-5793	85	26	the	the	DET
ejpam-5793	85	27	kth	kth	PROPN
ejpam-5793	85	28	fibonacci	fibonacci	NOUN
ejpam-5793	85	29	polynomial	polynomial	NOUN
ejpam-5793	85	30	,	,	PUNCT
ejpam-5793	85	31	fk(a	fk(a	NOUN
ejpam-5793	85	32	)	)	PUNCT
ejpam-5793	85	33	,	,	PUNCT
ejpam-5793	85	34	in	in	ADP
ejpam-5793	85	35	the	the	DET
ejpam-5793	85	36	following	following	ADJ
ejpam-5793	85	37	way	way	NOUN
ejpam-5793	85	38	:	:	PUNCT
ejpam-5793	85	39	l	l	NOUN
ejpam-5793	85	40	(	(	PUNCT
ejpam-5793	85	41	m	m	NOUN
ejpam-5793	85	42	)	)	PUNCT
ejpam-5793	85	43	k	k	NOUN
ejpam-5793	85	44	(	(	PUNCT
ejpam-5793	85	45	a	a	NOUN
ejpam-5793	85	46	)	)	PUNCT
ejpam-5793	85	47	=	=	SYM
ejpam-5793	85	48	kfk(a)dm−1	kfk(a)dm−1	NOUN
ejpam-5793	85	49	,	,	PUNCT
ejpam-5793	85	50	dm−1	dm−1	NOUN
ejpam-5793	86	1	=	=	PUNCT
ejpam-5793	87	1	d	d	NUM
ejpam-5793	87	2	×d	×d	NOUN
ejpam-5793	87	3	×d	×d	NOUN
ejpam-5793	87	4	·	·	PUNCT
ejpam-5793	87	5	·	·	PUNCT
ejpam-5793	87	6	·	·	PUNCT
ejpam-5793	87	7	d︸	d︸	PROPN
ejpam-5793	87	8	︷︷	︷︷	PROPN
ejpam-5793	87	9	︸	︸	X
ejpam-5793	87	10	(	(	PUNCT
ejpam-5793	87	11	m−1)time	m−1)time	X
ejpam-5793	87	12	.	.	PUNCT
ejpam-5793	88	1	(	(	PUNCT
ejpam-5793	88	2	5	5	NUM
ejpam-5793	88	3	)	)	PUNCT
ejpam-5793	88	4	in	in	ADP
ejpam-5793	88	5	this	this	DET
ejpam-5793	88	6	context	context	NOUN
ejpam-5793	88	7	,	,	PUNCT
ejpam-5793	88	8	d	d	PROPN
ejpam-5793	88	9	denotes	denote	VERB
ejpam-5793	88	10	the	the	DET
ejpam-5793	88	11	(	(	PUNCT
ejpam-5793	88	12	m	m	PROPN
ejpam-5793	88	13	+	+	NOUN
ejpam-5793	88	14	1)×	1)×	NUM
ejpam-5793	88	15	(	(	PUNCT
ejpam-5793	88	16	m	m	VERB
ejpam-5793	88	17	+	+	ADJ
ejpam-5793	88	18	1	1	NUM
ejpam-5793	88	19	)	)	PUNCT
ejpam-5793	88	20	matrix	matrix	NOUN
ejpam-5793	88	21	,	,	PUNCT
ejpam-5793	88	22	which	which	PRON
ejpam-5793	88	23	is	be	AUX
ejpam-5793	88	24	written	write	VERB
ejpam-5793	88	25	as	as	SCONJ
ejpam-5793	88	26	follows	follow	VERB
ejpam-5793	88	27	:	:	PUNCT
ejpam-5793	88	28	d	d	X
ejpam-5793	88	29	=	=	SYM
ejpam-5793	88	30			NOUN
ejpam-5793	88	31	0	0	NUM
ejpam-5793	88	32	0	0	NUM
ejpam-5793	88	33	.	.	PUNCT
ejpam-5793	88	34	.	.	PUNCT
ejpam-5793	89	1	.	.	PUNCT
ejpam-5793	90	1	0	0	NUM
ejpam-5793	90	2	0	0	NUM
ejpam-5793	91	1	...	...	PUNCT
ejpam-5793	92	1	d	d	X
ejpam-5793	92	2	0	0	NUM
ejpam-5793	92	3			VERB
ejpam-5793	92	4	,	,	PUNCT
ejpam-5793	92	5	where	where	SCONJ
ejpam-5793	92	6	the	the	DET
ejpam-5793	92	7	computation	computation	NOUN
ejpam-5793	92	8	of	of	ADP
ejpam-5793	92	9	d	d	PROPN
ejpam-5793	92	10	follows	follow	VERB
ejpam-5793	92	11	[	[	X
ejpam-5793	92	12	10	10	NUM
ejpam-5793	92	13	]	]	PUNCT
ejpam-5793	92	14	:	:	PUNCT
ejpam-5793	92	15	dij	dij	PROPN
ejpam-5793	92	16	=	=	SYM
ejpam-5793	92	17	{	{	PUNCT
ejpam-5793	92	18	i	i	PRON
ejpam-5793	92	19	sin	sin	VERB
ejpam-5793	92	20	(	(	PUNCT
ejpam-5793	92	21	j−i)π	j−i)π	PROPN
ejpam-5793	92	22	2	2	NUM
ejpam-5793	92	23	,	,	PUNCT
ejpam-5793	92	24	if	if	SCONJ
ejpam-5793	92	25	j	j	PROPN
ejpam-5793	92	26	>	>	X
ejpam-5793	92	27	i	i	PROPN
ejpam-5793	92	28	,	,	PUNCT
ejpam-5793	92	29	0	0	NUM
ejpam-5793	92	30	,	,	PUNCT
ejpam-5793	92	31	otherwise	otherwise	ADV
ejpam-5793	92	32	.	.	PUNCT
ejpam-5793	93	1	2.2	2.2	NUM
ejpam-5793	93	2	.	.	PUNCT
ejpam-5793	93	3	approximation	approximation	NOUN
ejpam-5793	93	4	of	of	ADP
ejpam-5793	93	5	function	function	NOUN
ejpam-5793	93	6	let	let	VERB
ejpam-5793	93	7	p(a	p(a	PROPN
ejpam-5793	93	8	)	)	PUNCT
ejpam-5793	93	9	be	be	AUX
ejpam-5793	93	10	a	a	DET
ejpam-5793	93	11	continuous	continuous	ADJ
ejpam-5793	93	12	function	function	NOUN
ejpam-5793	93	13	,	,	PUNCT
ejpam-5793	93	14	and	and	CCONJ
ejpam-5793	93	15	suppose	suppose	VERB
ejpam-5793	93	16	that	that	SCONJ
ejpam-5793	93	17	p	p	PROPN
ejpam-5793	93	18	∈	∈	PROPN
ejpam-5793	93	19	l2(r	l2(r	PROPN
ejpam-5793	93	20	)	)	PUNCT
ejpam-5793	93	21	.	.	PUNCT
ejpam-5793	94	1	in	in	ADP
ejpam-5793	94	2	this	this	DET
ejpam-5793	94	3	case	case	NOUN
ejpam-5793	94	4	,	,	PUNCT
ejpam-5793	94	5	p	p	NOUN
ejpam-5793	94	6	can	can	AUX
ejpam-5793	94	7	be	be	AUX
ejpam-5793	94	8	represented	represent	VERB
ejpam-5793	94	9	as	as	ADP
ejpam-5793	94	10	the	the	DET
ejpam-5793	94	11	following	follow	VERB
ejpam-5793	94	12	linear	linear	ADJ
ejpam-5793	94	13	combination	combination	NOUN
ejpam-5793	94	14	of	of	ADP
ejpam-5793	94	15	the	the	DET
ejpam-5793	94	16	kth	kth	PROPN
ejpam-5793	94	17	lucas	lucas	PROPN
ejpam-5793	94	18	polynomials	polynomials	PROPN
ejpam-5793	94	19	:	:	PUNCT
ejpam-5793	94	20	p(a	p(a	NOUN
ejpam-5793	94	21	)	)	PUNCT
ejpam-5793	94	22	=	=	PUNCT
ejpam-5793	95	1	∞∑	∞∑	DET
ejpam-5793	95	2	k=0	k=0	PROPN
ejpam-5793	95	3	λklk(a	λklk(a	PROPN
ejpam-5793	95	4	)	)	PUNCT
ejpam-5793	95	5	.	.	PUNCT
ejpam-5793	96	1	(	(	PUNCT
ejpam-5793	96	2	6	6	NUM
ejpam-5793	96	3	)	)	PUNCT
ejpam-5793	96	4	here	here	ADV
ejpam-5793	96	5	,	,	PUNCT
ejpam-5793	96	6	λk	λk	PROPN
ejpam-5793	96	7	refers	refer	VERB
ejpam-5793	96	8	to	to	ADP
ejpam-5793	96	9	the	the	DET
ejpam-5793	96	10	unknown	unknown	ADJ
ejpam-5793	96	11	coefficients	coefficient	NOUN
ejpam-5793	96	12	,	,	PUNCT
ejpam-5793	96	13	while	while	SCONJ
ejpam-5793	96	14	lk(a	lk(a	NOUN
ejpam-5793	96	15	)	)	PUNCT
ejpam-5793	96	16	signifies	signify	VERB
ejpam-5793	96	17	the	the	DET
ejpam-5793	96	18	lucas	lucas	NOUN
ejpam-5793	96	19	polynomials	polynomial	NOUN
ejpam-5793	96	20	.	.	PUNCT
ejpam-5793	97	1	likewise	likewise	ADV
ejpam-5793	97	2	,	,	PUNCT
ejpam-5793	97	3	a	a	DET
ejpam-5793	97	4	linear	linear	ADJ
ejpam-5793	97	5	combination	combination	NOUN
ejpam-5793	97	6	of	of	ADP
ejpam-5793	97	7	the	the	DET
ejpam-5793	97	8	kth	kth	PROPN
ejpam-5793	97	9	fibonacci	fibonacci	NOUN
ejpam-5793	97	10	polynomials	polynomial	NOUN
ejpam-5793	97	11	allows	allow	VERB
ejpam-5793	97	12	for	for	ADP
ejpam-5793	97	13	the	the	DET
ejpam-5793	97	14	expansion	expansion	NOUN
ejpam-5793	97	15	of	of	ADP
ejpam-5793	97	16	p(a	p(a	PROPN
ejpam-5793	97	17	)	)	PUNCT
ejpam-5793	97	18	under	under	ADP
ejpam-5793	97	19	the	the	DET
ejpam-5793	97	20	same	same	ADJ
ejpam-5793	97	21	conditions	condition	NOUN
ejpam-5793	97	22	,	,	PUNCT
ejpam-5793	97	23	as	as	SCONJ
ejpam-5793	97	24	shown	show	VERB
ejpam-5793	97	25	below	below	ADV
ejpam-5793	97	26	:	:	PUNCT
ejpam-5793	97	27	p(a	p(a	NOUN
ejpam-5793	97	28	)	)	PUNCT
ejpam-5793	97	29	=	=	PUNCT
ejpam-5793	98	1	∞∑	∞∑	NUM
ejpam-5793	98	2	k=0	k=0	PROPN
ejpam-5793	98	3	λkfk(a	λkfk(a	PROPN
ejpam-5793	98	4	)	)	PUNCT
ejpam-5793	98	5	.	.	PUNCT
ejpam-5793	99	1	here	here	ADV
ejpam-5793	99	2	,	,	PUNCT
ejpam-5793	99	3	the	the	DET
ejpam-5793	99	4	fibonacci	fibonacci	NOUN
ejpam-5793	99	5	polynomials	polynomial	NOUN
ejpam-5793	99	6	are	be	AUX
ejpam-5793	99	7	represented	represent	VERB
ejpam-5793	99	8	as	as	ADP
ejpam-5793	99	9	fk(a	fk(a	NOUN
ejpam-5793	99	10	)	)	PUNCT
ejpam-5793	99	11	,	,	PUNCT
ejpam-5793	99	12	and	and	CCONJ
ejpam-5793	99	13	the	the	DET
ejpam-5793	99	14	unknown	unknown	ADJ
ejpam-5793	99	15	coefficients	coefficient	NOUN
ejpam-5793	99	16	are	be	AUX
ejpam-5793	99	17	indicated	indicate	VERB
ejpam-5793	99	18	by	by	ADP
ejpam-5793	99	19	λk	λk	PROPN
ejpam-5793	99	20	.	.	PUNCT
ejpam-5793	100	1	the	the	DET
ejpam-5793	100	2	first	first	ADJ
ejpam-5793	100	3	-	-	PUNCT
ejpam-5793	100	4	order	order	NOUN
ejpam-5793	100	5	derivative	derivative	NOUN
ejpam-5793	100	6	of	of	ADP
ejpam-5793	100	7	the	the	DET
ejpam-5793	100	8	function	function	NOUN
ejpam-5793	100	9	p(a	p(a	PROPN
ejpam-5793	100	10	)	)	PUNCT
ejpam-5793	100	11	can	can	AUX
ejpam-5793	100	12	be	be	AUX
ejpam-5793	100	13	obtained	obtain	VERB
ejpam-5793	100	14	by	by	ADP
ejpam-5793	100	15	expanding	expand	VERB
ejpam-5793	100	16	it	it	PRON
ejpam-5793	100	17	using	use	VERB
ejpam-5793	100	18	the	the	DET
ejpam-5793	100	19	lucas	lucas	PROPN
ejpam-5793	100	20	polynomial	polynomial	PROPN
ejpam-5793	100	21	series	series	PROPN
ejpam-5793	100	22	.	.	PUNCT
ejpam-5793	101	1	p	p	X
ejpam-5793	101	2	′(a	′(a	ADV
ejpam-5793	101	3	)	)	PUNCT
ejpam-5793	101	4	=	=	PUNCT
ejpam-5793	102	1	∞∑	∞∑	NUM
ejpam-5793	102	2	k=0	k=0	PROPN
ejpam-5793	102	3	λkl	λkl	ADP
ejpam-5793	102	4	′	′	NUM
ejpam-5793	102	5	k(a	k(a	NOUN
ejpam-5793	102	6	)	)	PUNCT
ejpam-5793	102	7	.	.	PUNCT
ejpam-5793	103	1	(	(	PUNCT
ejpam-5793	103	2	7	7	X
ejpam-5793	103	3	)	)	PUNCT
ejpam-5793	103	4	for	for	ADP
ejpam-5793	103	5	the	the	DET
ejpam-5793	103	6	function	function	NOUN
ejpam-5793	103	7	p(a	p(a	PROPN
ejpam-5793	103	8	)	)	PUNCT
ejpam-5793	103	9	,	,	PUNCT
ejpam-5793	103	10	the	the	DET
ejpam-5793	103	11	associated	associated	ADJ
ejpam-5793	103	12	mth	mth	NOUN
ejpam-5793	103	13	order	order	NOUN
ejpam-5793	103	14	derivative	derivative	NOUN
ejpam-5793	103	15	is	be	AUX
ejpam-5793	103	16	as	as	SCONJ
ejpam-5793	103	17	follows	follow	VERB
ejpam-5793	103	18	:	:	PUNCT
ejpam-5793	103	19	pm(a	pm(a	NOUN
ejpam-5793	103	20	)	)	PUNCT
ejpam-5793	103	21	=	=	PUNCT
ejpam-5793	104	1	∞∑	∞∑	NUM
ejpam-5793	104	2	k=0	k=0	PUNCT
ejpam-5793	104	3	λkl	λkl	PROPN
ejpam-5793	104	4	(	(	PUNCT
ejpam-5793	104	5	m	m	NOUN
ejpam-5793	104	6	)	)	PUNCT
ejpam-5793	104	7	k	k	NOUN
ejpam-5793	104	8	(	(	PUNCT
ejpam-5793	104	9	a	a	NOUN
ejpam-5793	104	10	)	)	PUNCT
ejpam-5793	104	11	,	,	PUNCT
ejpam-5793	104	12	(	(	PUNCT
ejpam-5793	104	13	8)	8)	NUM
ejpam-5793	104	14	imtiaz	imtiaz	PROPN
ejpam-5793	104	15	ahmad	ahmad	PROPN
ejpam-5793	104	16	et	et	PROPN
ejpam-5793	104	17	al	al	PROPN
ejpam-5793	104	18	.	.	PUNCT
ejpam-5793	104	19	/	/	SYM
ejpam-5793	104	20	eur	eur	PROPN
ejpam-5793	104	21	.	.	PUNCT
ejpam-5793	105	1	j.	j.	PROPN
ejpam-5793	105	2	pure	pure	PROPN
ejpam-5793	105	3	appl	appl	PROPN
ejpam-5793	105	4	.	.	PROPN
ejpam-5793	105	5	math	math	PROPN
ejpam-5793	105	6	,	,	PUNCT
ejpam-5793	105	7	18	18	NUM
ejpam-5793	105	8	(	(	PUNCT
ejpam-5793	105	9	1	1	NUM
ejpam-5793	105	10	)	)	PUNCT
ejpam-5793	105	11	(	(	PUNCT
ejpam-5793	105	12	2025	2025	NUM
ejpam-5793	105	13	)	)	PUNCT
ejpam-5793	105	14	,	,	PUNCT
ejpam-5793	105	15	5793	5793	NUM
ejpam-5793	105	16	6	6	NUM
ejpam-5793	105	17	of	of	ADP
ejpam-5793	105	18	27	27	NUM
ejpam-5793	105	19	where	where	SCONJ
ejpam-5793	105	20	pm(a	pm(a	NOUN
ejpam-5793	105	21	)	)	PUNCT
ejpam-5793	105	22	=	=	SYM
ejpam-5793	105	23	dmp(a	dmp(a	NOUN
ejpam-5793	105	24	)	)	PUNCT
ejpam-5793	105	25	dam	dam	NOUN
ejpam-5793	105	26	,	,	PUNCT
ejpam-5793	105	27	l	l	PROPN
ejpam-5793	105	28	(	(	PUNCT
ejpam-5793	105	29	m	m	NOUN
ejpam-5793	105	30	)	)	PUNCT
ejpam-5793	106	1	k	k	NOUN
ejpam-5793	106	2	(	(	PUNCT
ejpam-5793	106	3	a	a	X
ejpam-5793	106	4	)	)	PUNCT
ejpam-5793	106	5	=	=	SYM
ejpam-5793	106	6	dmlk(a	dmlk(a	X
ejpam-5793	106	7	)	)	PUNCT
ejpam-5793	106	8	dam	dam	NOUN
ejpam-5793	106	9	.	.	PUNCT
ejpam-5793	107	1	the	the	DET
ejpam-5793	107	2	eqs	eqs	PROPN
ejpam-5793	107	3	.	.	PUNCT
ejpam-5793	107	4	(	(	PUNCT
ejpam-5793	107	5	7	7	NUM
ejpam-5793	107	6	)	)	PUNCT
ejpam-5793	107	7	and	and	CCONJ
ejpam-5793	107	8	(	(	PUNCT
ejpam-5793	107	9	8)	8)	NUM
ejpam-5793	107	10	can	can	AUX
ejpam-5793	107	11	be	be	AUX
ejpam-5793	107	12	expressed	express	VERB
ejpam-5793	107	13	using	use	VERB
ejpam-5793	107	14	the	the	DET
ejpam-5793	107	15	relationship	relationship	NOUN
ejpam-5793	107	16	defined	define	VERB
ejpam-5793	107	17	in	in	ADP
ejpam-5793	107	18	(	(	PUNCT
ejpam-5793	107	19	5	5	NUM
ejpam-5793	107	20	):	):	PUNCT
ejpam-5793	107	21	p	p	NOUN
ejpam-5793	107	22	′(a	′(a	ADV
ejpam-5793	107	23	)	)	PUNCT
ejpam-5793	107	24	=	=	PUNCT
ejpam-5793	108	1	∞∑	∞∑	DET
ejpam-5793	108	2	k=0	k=0	PROPN
ejpam-5793	108	3	λkkfk(a	λkkfk(a	NUM
ejpam-5793	108	4	)	)	PUNCT
ejpam-5793	108	5	,	,	PUNCT
ejpam-5793	108	6	(	(	PUNCT
ejpam-5793	108	7	9	9	X
ejpam-5793	108	8	)	)	PUNCT
ejpam-5793	108	9	in	in	ADP
ejpam-5793	108	10	the	the	DET
ejpam-5793	108	11	same	same	ADJ
ejpam-5793	108	12	way	way	NOUN
ejpam-5793	108	13	,	,	PUNCT
ejpam-5793	108	14	the	the	DET
ejpam-5793	108	15	mth	mth	NOUN
ejpam-5793	108	16	derivative	derivative	NOUN
ejpam-5793	108	17	can	can	AUX
ejpam-5793	108	18	be	be	AUX
ejpam-5793	108	19	found	find	VERB
ejpam-5793	108	20	using	use	VERB
ejpam-5793	108	21	the	the	DET
ejpam-5793	108	22	formula	formula	NOUN
ejpam-5793	108	23	below	below	ADP
ejpam-5793	108	24	:	:	PUNCT
ejpam-5793	108	25	p(m)(a	p(m)(a	NUM
ejpam-5793	108	26	)	)	PUNCT
ejpam-5793	108	27	=	=	NOUN
ejpam-5793	109	1	∞∑	∞∑	NUM
ejpam-5793	109	2	k=0	k=0	PUNCT
ejpam-5793	109	3	λkkfk(a)dm−1	λkkfk(a)dm−1	PROPN
ejpam-5793	109	4	,	,	PUNCT
ejpam-5793	109	5	(	(	PUNCT
ejpam-5793	109	6	10	10	NUM
ejpam-5793	109	7	)	)	PUNCT
ejpam-5793	109	8	in	in	ADP
ejpam-5793	109	9	which	which	PRON
ejpam-5793	109	10	d	d	NOUN
ejpam-5793	109	11	and	and	CCONJ
ejpam-5793	109	12	dm−1	dm−1	NOUN
ejpam-5793	109	13	are	be	AUX
ejpam-5793	109	14	previously	previously	ADV
ejpam-5793	109	15	defined	define	VERB
ejpam-5793	109	16	.	.	PUNCT
ejpam-5793	110	1	remark	remark	NOUN
ejpam-5793	110	2	1	1	NUM
ejpam-5793	110	3	:	:	PUNCT
ejpam-5793	110	4	truncated	truncate	VERB
ejpam-5793	110	5	lacus	lacus	PROPN
ejpam-5793	110	6	and	and	CCONJ
ejpam-5793	110	7	fibonacci	fibonacci	PROPN
ejpam-5793	110	8	polynomial	polynomial	PROPN
ejpam-5793	110	9	series	series	PROPN
ejpam-5793	110	10	are	be	AUX
ejpam-5793	110	11	commonly	commonly	ADV
ejpam-5793	110	12	utilized	utilize	VERB
ejpam-5793	110	13	in	in	ADP
ejpam-5793	110	14	numerical	numerical	ADJ
ejpam-5793	110	15	computations	computation	NOUN
ejpam-5793	110	16	to	to	PART
ejpam-5793	110	17	express	express	VERB
ejpam-5793	110	18	p(a	p(a	PROPN
ejpam-5793	110	19	)	)	PUNCT
ejpam-5793	110	20	and	and	CCONJ
ejpam-5793	110	21	its	its	PRON
ejpam-5793	110	22	mth	mth	NOUN
ejpam-5793	110	23	derivative	derivative	NOUN
ejpam-5793	110	24	.	.	PUNCT
ejpam-5793	111	1	specifically	specifically	ADV
ejpam-5793	111	2	,	,	PUNCT
ejpam-5793	111	3	we	we	PRON
ejpam-5793	111	4	examine	examine	VERB
ejpam-5793	111	5	the	the	DET
ejpam-5793	111	6	following	following	NOUN
ejpam-5793	111	7	:	:	PUNCT
ejpam-5793	111	8	p(a	p(a	NOUN
ejpam-5793	111	9	)	)	PUNCT
ejpam-5793	111	10	≃	≃	NOUN
ejpam-5793	111	11	m∑	m∑	ADP
ejpam-5793	111	12	k=0	k=0	PROPN
ejpam-5793	111	13	λklk(a	λklk(a	PROPN
ejpam-5793	111	14	)	)	PUNCT
ejpam-5793	111	15	,	,	PUNCT
ejpam-5793	111	16	m	m	PROPN
ejpam-5793	111	17	∈	∈	PROPN
ejpam-5793	111	18	n	n	CCONJ
ejpam-5793	111	19	,	,	PUNCT
ejpam-5793	111	20	and	and	CCONJ
ejpam-5793	111	21	p(m)(a	p(m)(a	NUM
ejpam-5793	111	22	)	)	PUNCT
ejpam-5793	111	23	≃	≃	NOUN
ejpam-5793	111	24	m∑	m∑	AUX
ejpam-5793	111	25	k=0	k=0	PROPN
ejpam-5793	111	26	λkl	λkl	PROPN
ejpam-5793	111	27	(	(	PUNCT
ejpam-5793	111	28	m	m	NOUN
ejpam-5793	111	29	)	)	PUNCT
ejpam-5793	111	30	k	k	NOUN
ejpam-5793	111	31	(	(	PUNCT
ejpam-5793	111	32	a	a	NOUN
ejpam-5793	111	33	)	)	PUNCT
ejpam-5793	111	34	=	=	PUNCT
ejpam-5793	111	35	m∑	m∑	NOUN
ejpam-5793	111	36	k=0	k=0	PROPN
ejpam-5793	111	37	λkkfk(a)dm−1	λkkfk(a)dm−1	PROPN
ejpam-5793	111	38	,	,	PUNCT
ejpam-5793	111	39	m	m	PROPN
ejpam-5793	111	40	∈	∈	PROPN
ejpam-5793	111	41	n.	n.	NOUN
ejpam-5793	111	42	(	(	PUNCT
ejpam-5793	111	43	11	11	NUM
ejpam-5793	111	44	)	)	SYM
ejpam-5793	111	45	3	3	NUM
ejpam-5793	111	46	.	.	PUNCT
ejpam-5793	111	47	fractional	fractional	ADJ
ejpam-5793	111	48	black	black	ADJ
ejpam-5793	111	49	-	-	PUNCT
ejpam-5793	111	50	scholes	schole	NOUN
ejpam-5793	111	51	models	model	NOUN
ejpam-5793	111	52	fractional	fractional	ADJ
ejpam-5793	111	53	derivatives	derivative	NOUN
ejpam-5793	111	54	serve	serve	VERB
ejpam-5793	111	55	as	as	ADP
ejpam-5793	111	56	an	an	DET
ejpam-5793	111	57	effective	effective	ADJ
ejpam-5793	111	58	tool	tool	NOUN
ejpam-5793	111	59	for	for	ADP
ejpam-5793	111	60	capturing	capture	VERB
ejpam-5793	111	61	the	the	DET
ejpam-5793	111	62	memory	memory	NOUN
ejpam-5793	111	63	and	and	CCONJ
ejpam-5793	111	64	hereditary	hereditary	ADJ
ejpam-5793	111	65	characteristics	characteristic	NOUN
ejpam-5793	111	66	of	of	ADP
ejpam-5793	111	67	various	various	ADJ
ejpam-5793	111	68	materials	material	NOUN
ejpam-5793	111	69	[	[	X
ejpam-5793	111	70	8	8	NUM
ejpam-5793	111	71	,	,	PUNCT
ejpam-5793	111	72	30	30	NUM
ejpam-5793	111	73	,	,	PUNCT
ejpam-5793	111	74	31	31	NUM
ejpam-5793	111	75	]	]	PUNCT
ejpam-5793	111	76	.	.	PUNCT
ejpam-5793	112	1	these	these	DET
ejpam-5793	112	2	derivatives	derivative	NOUN
ejpam-5793	112	3	are	be	AUX
ejpam-5793	112	4	particularly	particularly	ADV
ejpam-5793	112	5	relevant	relevant	ADJ
ejpam-5793	112	6	when	when	SCONJ
ejpam-5793	112	7	examining	examine	VERB
ejpam-5793	112	8	differential	differential	ADJ
ejpam-5793	112	9	equations	equation	NOUN
ejpam-5793	112	10	within	within	ADP
ejpam-5793	112	11	the	the	DET
ejpam-5793	112	12	framework	framework	NOUN
ejpam-5793	112	13	of	of	ADP
ejpam-5793	112	14	fractal	fractal	ADJ
ejpam-5793	112	15	geometry	geometry	NOUN
ejpam-5793	112	16	and	and	CCONJ
ejpam-5793	112	17	dynamics	dynamic	NOUN
ejpam-5793	112	18	[	[	X
ejpam-5793	112	19	3	3	NUM
ejpam-5793	112	20	,	,	PUNCT
ejpam-5793	112	21	5	5	NUM
ejpam-5793	112	22	,	,	PUNCT
ejpam-5793	112	23	7	7	NUM
ejpam-5793	112	24	,	,	PUNCT
ejpam-5793	112	25	14	14	NUM
ejpam-5793	112	26	,	,	PUNCT
ejpam-5793	112	27	43	43	NUM
ejpam-5793	112	28	]	]	PUNCT
ejpam-5793	112	29	.	.	PUNCT
ejpam-5793	113	1	the	the	DET
ejpam-5793	113	2	discovery	discovery	NOUN
ejpam-5793	113	3	of	of	ADP
ejpam-5793	113	4	fractal	fractal	ADJ
ejpam-5793	113	5	structures	structure	NOUN
ejpam-5793	113	6	in	in	ADP
ejpam-5793	113	7	finance	finance	NOUN
ejpam-5793	113	8	has	have	AUX
ejpam-5793	113	9	led	lead	VERB
ejpam-5793	113	10	to	to	ADP
ejpam-5793	113	11	a	a	DET
ejpam-5793	113	12	growing	grow	VERB
ejpam-5793	113	13	interest	interest	NOUN
ejpam-5793	113	14	in	in	ADP
ejpam-5793	113	15	fractional	fractional	ADJ
ejpam-5793	113	16	models	model	NOUN
ejpam-5793	113	17	.	.	PUNCT
ejpam-5793	114	1	as	as	ADP
ejpam-5793	114	2	a	a	DET
ejpam-5793	114	3	result	result	NOUN
ejpam-5793	114	4	,	,	PUNCT
ejpam-5793	114	5	fractional	fractional	ADJ
ejpam-5793	114	6	-	-	PUNCT
ejpam-5793	114	7	order	order	NOUN
ejpam-5793	114	8	pdes	pde	NOUN
ejpam-5793	114	9	have	have	AUX
ejpam-5793	114	10	been	be	AUX
ejpam-5793	114	11	incorporated	incorporate	VERB
ejpam-5793	114	12	into	into	ADP
ejpam-5793	114	13	financial	financial	ADJ
ejpam-5793	114	14	modeling	modeling	NOUN
ejpam-5793	114	15	to	to	PART
ejpam-5793	114	16	better	well	ADV
ejpam-5793	114	17	represent	represent	VERB
ejpam-5793	114	18	complex	complex	ADJ
ejpam-5793	114	19	financial	financial	ADJ
ejpam-5793	114	20	dynamics	dynamic	NOUN
ejpam-5793	114	21	by	by	ADP
ejpam-5793	114	22	replacing	replace	VERB
ejpam-5793	114	23	classical	classical	ADJ
ejpam-5793	114	24	brownian	brownian	ADJ
ejpam-5793	114	25	motion	motion	NOUN
ejpam-5793	114	26	with	with	ADP
ejpam-5793	114	27	fractional	fractional	ADJ
ejpam-5793	114	28	brownian	brownian	ADJ
ejpam-5793	114	29	motion	motion	NOUN
ejpam-5793	114	30	in	in	ADP
ejpam-5793	114	31	stochastic	stochastic	ADJ
ejpam-5793	114	32	processes	process	NOUN
ejpam-5793	114	33	.	.	PUNCT
ejpam-5793	115	1	to	to	PART
ejpam-5793	115	2	effectively	effectively	ADV
ejpam-5793	115	3	depict	depict	VERB
ejpam-5793	115	4	memory	memory	NOUN
ejpam-5793	115	5	effects	effect	NOUN
ejpam-5793	115	6	,	,	PUNCT
ejpam-5793	115	7	one	one	PRON
ejpam-5793	115	8	must	must	AUX
ejpam-5793	115	9	comprehend	comprehend	VERB
ejpam-5793	115	10	the	the	DET
ejpam-5793	115	11	non	non	ADJ
ejpam-5793	115	12	-	-	ADJ
ejpam-5793	115	13	local	local	ADJ
ejpam-5793	115	14	character	character	NOUN
ejpam-5793	115	15	of	of	ADP
ejpam-5793	115	16	integrals	integral	NOUN
ejpam-5793	115	17	and	and	CCONJ
ejpam-5793	115	18	fractional	fractional	ADJ
ejpam-5793	115	19	derivatives	derivative	NOUN
ejpam-5793	115	20	[	[	X
ejpam-5793	115	21	24	24	NUM
ejpam-5793	115	22	]	]	PUNCT
ejpam-5793	115	23	.	.	PUNCT
ejpam-5793	116	1	in	in	ADP
ejpam-5793	116	2	their	their	PRON
ejpam-5793	116	3	work	work	NOUN
ejpam-5793	116	4	,	,	PUNCT
ejpam-5793	116	5	jumarie	jumarie	X
ejpam-5793	116	6	[	[	X
ejpam-5793	116	7	33	33	NUM
ejpam-5793	116	8	]	]	PUNCT
ejpam-5793	116	9	introduced	introduce	VERB
ejpam-5793	116	10	timeand	timeand	NOUN
ejpam-5793	116	11	space	space	NOUN
ejpam-5793	116	12	-	-	PUNCT
ejpam-5793	116	13	fractional	fractional	ADJ
ejpam-5793	116	14	b	b	NOUN
ejpam-5793	116	15	-	-	PUNCT
ejpam-5793	116	16	s	s	NOUN
ejpam-5793	116	17	models	model	NOUN
ejpam-5793	116	18	utilizing	utilize	VERB
ejpam-5793	116	19	a	a	DET
ejpam-5793	116	20	fractional	fractional	ADJ
ejpam-5793	116	21	taylor	taylor	PROPN
ejpam-5793	116	22	series	series	PROPN
ejpam-5793	116	23	expansion	expansion	NOUN
ejpam-5793	116	24	approach	approach	NOUN
ejpam-5793	116	25	.	.	PUNCT
ejpam-5793	117	1	farhadi	farhadi	NOUN
ejpam-5793	117	2	et	et	PROPN
ejpam-5793	117	3	al	al	PROPN
ejpam-5793	117	4	.	.	PUNCT
ejpam-5793	118	1	[	[	X
ejpam-5793	118	2	24	24	NUM
ejpam-5793	118	3	]	]	PUNCT
ejpam-5793	118	4	employed	employ	VERB
ejpam-5793	118	5	a	a	DET
ejpam-5793	118	6	tfbsm	tfbsm	NOUN
ejpam-5793	118	7	to	to	PART
ejpam-5793	118	8	account	account	VERB
ejpam-5793	118	9	for	for	ADP
ejpam-5793	118	10	the	the	DET
ejpam-5793	118	11	influence	influence	NOUN
ejpam-5793	118	12	of	of	ADP
ejpam-5793	118	13	memory	memory	NOUN
ejpam-5793	118	14	effects	effect	NOUN
ejpam-5793	118	15	on	on	ADP
ejpam-5793	118	16	trend	trend	NOUN
ejpam-5793	118	17	dynamics	dynamic	NOUN
ejpam-5793	118	18	,	,	PUNCT
ejpam-5793	118	19	while	while	SCONJ
ejpam-5793	118	20	liang	liang	PROPN
ejpam-5793	118	21	et	et	PROPN
ejpam-5793	118	22	al	al	PROPN
ejpam-5793	118	23	.	.	PUNCT
ejpam-5793	119	1	[	[	X
ejpam-5793	119	2	38	38	NUM
ejpam-5793	119	3	]	]	PUNCT
ejpam-5793	119	4	developed	develop	VERB
ejpam-5793	119	5	bifractional	bifractional	ADJ
ejpam-5793	119	6	b	b	X
ejpam-5793	119	7	-	-	PUNCT
ejpam-5793	119	8	s	s	NOUN
ejpam-5793	119	9	models	model	NOUN
ejpam-5793	119	10	tailored	tailor	VERB
ejpam-5793	119	11	to	to	PART
ejpam-5793	119	12	option	option	NOUN
ejpam-5793	119	13	pricing	pricing	NOUN
ejpam-5793	119	14	applications	application	NOUN
ejpam-5793	119	15	.	.	PUNCT
ejpam-5793	120	1	further	further	ADJ
ejpam-5793	120	2	research	research	NOUN
ejpam-5793	120	3	in	in	ADP
ejpam-5793	120	4	this	this	DET
ejpam-5793	120	5	area	area	NOUN
ejpam-5793	120	6	remains	remain	VERB
ejpam-5793	120	7	essential	essential	ADJ
ejpam-5793	120	8	and	and	CCONJ
ejpam-5793	120	9	valuable	valuable	ADJ
ejpam-5793	120	10	,	,	PUNCT
ejpam-5793	120	11	as	as	SCONJ
ejpam-5793	120	12	fractional	fractional	ADJ
ejpam-5793	120	13	b	b	X
ejpam-5793	120	14	-	-	PUNCT
ejpam-5793	120	15	s	s	X
ejpam-5793	120	16	partial	partial	ADJ
ejpam-5793	120	17	differential	differential	NOUN
ejpam-5793	120	18	equations	equation	NOUN
ejpam-5793	120	19	continue	continue	VERB
ejpam-5793	120	20	to	to	PART
ejpam-5793	120	21	pose	pose	VERB
ejpam-5793	120	22	increasing	increase	VERB
ejpam-5793	120	23	challenges	challenge	NOUN
ejpam-5793	120	24	in	in	ADP
ejpam-5793	120	25	terms	term	NOUN
ejpam-5793	120	26	of	of	ADP
ejpam-5793	120	27	solution	solution	NOUN
ejpam-5793	120	28	complexity	complexity	NOUN
ejpam-5793	120	29	.	.	PUNCT
ejpam-5793	121	1	various	various	ADJ
ejpam-5793	121	2	numerical	numerical	ADJ
ejpam-5793	121	3	methods	method	NOUN
ejpam-5793	121	4	have	have	AUX
ejpam-5793	121	5	been	be	AUX
ejpam-5793	121	6	applied	apply	VERB
ejpam-5793	121	7	to	to	ADP
ejpam-5793	121	8	price	price	NOUN
ejpam-5793	121	9	european	european	ADJ
ejpam-5793	121	10	options	option	NOUN
ejpam-5793	121	11	using	use	VERB
ejpam-5793	121	12	fractional	fractional	ADJ
ejpam-5793	121	13	b	b	PROPN
ejpam-5793	121	14	-	-	PUNCT
ejpam-5793	121	15	s	s	NOUN
ejpam-5793	121	16	models	model	NOUN
ejpam-5793	121	17	.	.	PUNCT
ejpam-5793	122	1	yavuz	yavuz	PROPN
ejpam-5793	122	2	et	et	PROPN
ejpam-5793	122	3	al	al	PROPN
ejpam-5793	122	4	.	.	PUNCT
ejpam-5793	123	1	[	[	X
ejpam-5793	123	2	49	49	NUM
ejpam-5793	123	3	]	]	PUNCT
ejpam-5793	123	4	utilized	utilize	VERB
ejpam-5793	123	5	the	the	DET
ejpam-5793	123	6	laplace	laplace	PROPN
ejpam-5793	123	7	homotopy	homotopy	PROPN
ejpam-5793	123	8	imtiaz	imtiaz	PROPN
ejpam-5793	123	9	ahmad	ahmad	PROPN
ejpam-5793	123	10	et	et	PROPN
ejpam-5793	123	11	al	al	PROPN
ejpam-5793	123	12	.	.	PUNCT
ejpam-5793	123	13	/	/	SYM
ejpam-5793	123	14	eur	eur	PROPN
ejpam-5793	123	15	.	.	PUNCT
ejpam-5793	124	1	j.	j.	PROPN
ejpam-5793	124	2	pure	pure	PROPN
ejpam-5793	124	3	appl	appl	PROPN
ejpam-5793	124	4	.	.	PROPN
ejpam-5793	124	5	math	math	PROPN
ejpam-5793	124	6	,	,	PUNCT
ejpam-5793	124	7	18	18	NUM
ejpam-5793	124	8	(	(	PUNCT
ejpam-5793	124	9	1	1	NUM
ejpam-5793	124	10	)	)	PUNCT
ejpam-5793	124	11	(	(	PUNCT
ejpam-5793	124	12	2025	2025	NUM
ejpam-5793	124	13	)	)	PUNCT
ejpam-5793	124	14	,	,	PUNCT
ejpam-5793	124	15	5793	5793	NUM
ejpam-5793	124	16	7	7	NUM
ejpam-5793	124	17	of	of	ADP
ejpam-5793	124	18	27	27	NUM
ejpam-5793	124	19	analysis	analysis	NOUN
ejpam-5793	124	20	method	method	NOUN
ejpam-5793	124	21	for	for	ADP
ejpam-5793	124	22	pricing	pricing	NOUN
ejpam-5793	124	23	options	option	NOUN
ejpam-5793	124	24	.	.	PUNCT
ejpam-5793	125	1	in	in	ADP
ejpam-5793	125	2	their	their	PRON
ejpam-5793	125	3	work	work	NOUN
ejpam-5793	125	4	,	,	PUNCT
ejpam-5793	125	5	cen	cen	PROPN
ejpam-5793	125	6	et	et	PROPN
ejpam-5793	125	7	al	al	PROPN
ejpam-5793	125	8	.	.	PUNCT
ejpam-5793	126	1	[	[	X
ejpam-5793	126	2	17	17	NUM
ejpam-5793	126	3	]	]	PUNCT
ejpam-5793	126	4	applied	apply	VERB
ejpam-5793	126	5	an	an	DET
ejpam-5793	126	6	integral	integral	ADJ
ejpam-5793	126	7	approach	approach	NOUN
ejpam-5793	126	8	for	for	ADP
ejpam-5793	126	9	time	time	NOUN
ejpam-5793	126	10	discretization	discretization	NOUN
ejpam-5793	126	11	alongside	alongside	ADP
ejpam-5793	126	12	central	central	ADJ
ejpam-5793	126	13	differencing	differencing	NOUN
ejpam-5793	126	14	on	on	ADP
ejpam-5793	126	15	a	a	DET
ejpam-5793	126	16	piecewise	piecewise	NOUN
ejpam-5793	126	17	uniform	uniform	NOUN
ejpam-5793	126	18	mesh	mesh	NOUN
ejpam-5793	126	19	for	for	ADP
ejpam-5793	126	20	spatial	spatial	ADJ
ejpam-5793	126	21	discretization	discretization	NOUN
ejpam-5793	126	22	.	.	PUNCT
ejpam-5793	127	1	in	in	ADP
ejpam-5793	127	2	a	a	DET
ejpam-5793	127	3	finite	finite	ADJ
ejpam-5793	127	4	-	-	ADJ
ejpam-5793	127	5	moment	moment	NOUN
ejpam-5793	127	6	log	log	NOUN
ejpam-5793	127	7	-	-	PUNCT
ejpam-5793	127	8	stable	stable	ADJ
ejpam-5793	127	9	framework	framework	NOUN
ejpam-5793	127	10	,	,	PUNCT
ejpam-5793	127	11	chen	chen	PROPN
ejpam-5793	128	1	[	[	X
ejpam-5793	128	2	22	22	NUM
ejpam-5793	128	3	]	]	PUNCT
ejpam-5793	128	4	solved	solve	VERB
ejpam-5793	128	5	fractional	fractional	ADJ
ejpam-5793	128	6	b	b	X
ejpam-5793	128	7	-	-	PUNCT
ejpam-5793	128	8	s	s	NOUN
ejpam-5793	128	9	model	model	NOUN
ejpam-5793	128	10	in	in	ADP
ejpam-5793	128	11	term	term	NOUN
ejpam-5793	128	12	of	of	ADP
ejpam-5793	128	13	the	the	DET
ejpam-5793	128	14	american	american	ADJ
ejpam-5793	128	15	option	option	NOUN
ejpam-5793	128	16	.	.	PUNCT
ejpam-5793	129	1	using	use	VERB
ejpam-5793	129	2	a	a	DET
ejpam-5793	129	3	power	power	NOUN
ejpam-5793	129	4	penalty	penalty	NOUN
ejpam-5793	129	5	technique	technique	NOUN
ejpam-5793	129	6	in	in	ADP
ejpam-5793	129	7	conjunction	conjunction	NOUN
ejpam-5793	129	8	with	with	ADP
ejpam-5793	129	9	a	a	DET
ejpam-5793	129	10	finitedifference	finitedifference	NOUN
ejpam-5793	129	11	scheme	scheme	NOUN
ejpam-5793	129	12	.	.	PUNCT
ejpam-5793	130	1	for	for	ADP
ejpam-5793	130	2	both	both	CCONJ
ejpam-5793	130	3	hazardous	hazardous	ADJ
ejpam-5793	130	4	and	and	CCONJ
ejpam-5793	130	5	risk	risk	NOUN
ejpam-5793	130	6	-	-	PUNCT
ejpam-5793	130	7	free	free	ADJ
ejpam-5793	130	8	assets	asset	NOUN
ejpam-5793	130	9	,	,	PUNCT
ejpam-5793	130	10	the	the	DET
ejpam-5793	130	11	conventional	conventional	ADJ
ejpam-5793	130	12	b	b	X
ejpam-5793	130	13	-	-	PUNCT
ejpam-5793	130	14	s	s	NOUN
ejpam-5793	130	15	model	model	NOUN
ejpam-5793	130	16	has	have	AUX
ejpam-5793	130	17	proven	prove	VERB
ejpam-5793	130	18	successful	successful	ADJ
ejpam-5793	130	19	in	in	ADP
ejpam-5793	130	20	pricing	pricing	NOUN
ejpam-5793	130	21	options	option	NOUN
ejpam-5793	130	22	in	in	ADP
ejpam-5793	130	23	a	a	DET
ejpam-5793	130	24	full	full	ADJ
ejpam-5793	130	25	market	market	NOUN
ejpam-5793	130	26	with	with	ADP
ejpam-5793	130	27	no	no	DET
ejpam-5793	130	28	transaction	transaction	NOUN
ejpam-5793	130	29	costs	cost	NOUN
ejpam-5793	130	30	.	.	PUNCT
ejpam-5793	131	1	but	but	CCONJ
ejpam-5793	131	2	when	when	SCONJ
ejpam-5793	131	3	transaction	transaction	NOUN
ejpam-5793	131	4	costs	cost	NOUN
ejpam-5793	131	5	are	be	AUX
ejpam-5793	131	6	present	present	ADJ
ejpam-5793	131	7	,	,	PUNCT
ejpam-5793	131	8	this	this	DET
ejpam-5793	131	9	strategy	strategy	NOUN
ejpam-5793	131	10	falls	fall	VERB
ejpam-5793	131	11	short	short	ADJ
ejpam-5793	131	12	because	because	SCONJ
ejpam-5793	131	13	complete	complete	ADJ
ejpam-5793	131	14	hedging	hedging	NOUN
ejpam-5793	131	15	is	be	AUX
ejpam-5793	131	16	unachievable	unachievable	ADJ
ejpam-5793	131	17	[	[	X
ejpam-5793	131	18	23	23	NUM
ejpam-5793	131	19	]	]	PUNCT
ejpam-5793	131	20	.	.	PUNCT
ejpam-5793	132	1	edeki	edeki	PROPN
ejpam-5793	132	2	et	et	PROPN
ejpam-5793	132	3	al	al	PROPN
ejpam-5793	132	4	.	.	PUNCT
ejpam-5793	133	1	[	[	X
ejpam-5793	133	2	46	46	NUM
ejpam-5793	133	3	]	]	PUNCT
ejpam-5793	133	4	used	use	VERB
ejpam-5793	133	5	modified	modify	VERB
ejpam-5793	133	6	differential	differential	NOUN
ejpam-5793	133	7	transform	transform	NOUN
ejpam-5793	133	8	method	method	NOUN
ejpam-5793	133	9	for	for	ADP
ejpam-5793	133	10	the	the	DET
ejpam-5793	133	11	solution	solution	NOUN
ejpam-5793	133	12	of	of	ADP
ejpam-5793	133	13	the	the	DET
ejpam-5793	133	14	nonlinear	nonlinear	ADJ
ejpam-5793	133	15	tfbsm	tfbsm	NOUN
ejpam-5793	133	16	.	.	PUNCT
ejpam-5793	134	1	furthermore	furthermore	ADV
ejpam-5793	134	2	,	,	PUNCT
ejpam-5793	134	3	chen	chen	PROPN
ejpam-5793	134	4	et	et	PROPN
ejpam-5793	134	5	al	al	PROPN
ejpam-5793	134	6	.	.	PUNCT
ejpam-5793	135	1	[	[	X
ejpam-5793	135	2	20	20	NUM
ejpam-5793	135	3	]	]	PUNCT
ejpam-5793	135	4	implemented	implement	VERB
ejpam-5793	135	5	the	the	DET
ejpam-5793	135	6	penalty	penalty	NOUN
ejpam-5793	135	7	method	method	NOUN
ejpam-5793	135	8	to	to	PART
ejpam-5793	135	9	address	address	VERB
ejpam-5793	135	10	fractional	fractional	ADJ
ejpam-5793	135	11	-	-	PUNCT
ejpam-5793	135	12	order	order	NOUN
ejpam-5793	135	13	american	american	ADJ
ejpam-5793	135	14	put	put	NOUN
ejpam-5793	135	15	options	option	NOUN
ejpam-5793	135	16	.	.	PUNCT
ejpam-5793	136	1	a	a	DET
ejpam-5793	136	2	predictor	predictor	NOUN
ejpam-5793	136	3	-	-	PUNCT
ejpam-5793	136	4	corrector	corrector	NOUN
ejpam-5793	136	5	technique	technique	NOUN
ejpam-5793	136	6	specifically	specifically	ADV
ejpam-5793	136	7	designed	design	VERB
ejpam-5793	136	8	for	for	ADP
ejpam-5793	136	9	american	american	ADJ
ejpam-5793	136	10	options	option	NOUN
ejpam-5793	136	11	was	be	AUX
ejpam-5793	136	12	presented	present	VERB
ejpam-5793	136	13	by	by	ADP
ejpam-5793	136	14	chen	chen	PROPN
ejpam-5793	136	15	et	et	PROPN
ejpam-5793	136	16	al	al	PROPN
ejpam-5793	136	17	.	.	PUNCT
ejpam-5793	137	1	[	[	X
ejpam-5793	137	2	22	22	NUM
ejpam-5793	137	3	]	]	PUNCT
ejpam-5793	137	4	.	.	PUNCT
ejpam-5793	138	1	zhou	zhou	PROPN
ejpam-5793	138	2	et	et	PROPN
ejpam-5793	138	3	al	al	PROPN
ejpam-5793	138	4	.	.	PUNCT
ejpam-5793	139	1	[	[	X
ejpam-5793	139	2	52	52	NUM
ejpam-5793	139	3	]	]	PUNCT
ejpam-5793	139	4	used	use	VERB
ejpam-5793	139	5	a	a	DET
ejpam-5793	139	6	combination	combination	NOUN
ejpam-5793	139	7	of	of	ADP
ejpam-5793	139	8	the	the	DET
ejpam-5793	139	9	finite	finite	ADJ
ejpam-5793	139	10	difference	difference	NOUN
ejpam-5793	139	11	method	method	NOUN
ejpam-5793	139	12	and	and	CCONJ
ejpam-5793	139	13	the	the	DET
ejpam-5793	139	14	laplace	laplace	NOUN
ejpam-5793	139	15	transform	transform	NOUN
ejpam-5793	139	16	technique	technique	NOUN
ejpam-5793	139	17	to	to	PART
ejpam-5793	139	18	solve	solve	VERB
ejpam-5793	139	19	american	american	ADJ
ejpam-5793	139	20	options	option	NOUN
ejpam-5793	139	21	.	.	PUNCT
ejpam-5793	140	1	cartea	cartea	NOUN
ejpam-5793	140	2	et	et	PROPN
ejpam-5793	140	3	al	al	PROPN
ejpam-5793	140	4	.	.	PUNCT
ejpam-5793	141	1	[	[	X
ejpam-5793	141	2	16	16	NUM
ejpam-5793	141	3	]	]	PUNCT
ejpam-5793	141	4	addressed	address	VERB
ejpam-5793	141	5	exotic	exotic	ADJ
ejpam-5793	141	6	option	option	NOUN
ejpam-5793	141	7	pricing	pricing	NOUN
ejpam-5793	141	8	using	use	VERB
ejpam-5793	141	9	the	the	DET
ejpam-5793	141	10	shifted	shift	VERB
ejpam-5793	141	11	grűnwald	grűnwald	ADJ
ejpam-5793	141	12	-	-	PUNCT
ejpam-5793	141	13	letnikov	letnikov	NOUN
ejpam-5793	141	14	scheme	scheme	NOUN
ejpam-5793	141	15	,	,	PUNCT
ejpam-5793	141	16	while	while	SCONJ
ejpam-5793	141	17	chen	chen	PROPN
ejpam-5793	141	18	et	et	PROPN
ejpam-5793	141	19	al	al	PROPN
ejpam-5793	141	20	.	.	PUNCT
ejpam-5793	142	1	[	[	X
ejpam-5793	142	2	21	21	NUM
ejpam-5793	142	3	]	]	PUNCT
ejpam-5793	142	4	provided	provide	VERB
ejpam-5793	142	5	a	a	DET
ejpam-5793	142	6	closed	closed	ADJ
ejpam-5793	142	7	-	-	PUNCT
ejpam-5793	142	8	form	form	NOUN
ejpam-5793	142	9	analytical	analytical	ADJ
ejpam-5793	142	10	solution	solution	NOUN
ejpam-5793	142	11	for	for	ADP
ejpam-5793	142	12	double	double	ADJ
ejpam-5793	142	13	barrier	barrier	NOUN
ejpam-5793	142	14	options	option	NOUN
ejpam-5793	142	15	,	,	PUNCT
ejpam-5793	142	16	highlighting	highlight	VERB
ejpam-5793	142	17	their	their	PRON
ejpam-5793	142	18	significance	significance	NOUN
ejpam-5793	142	19	,	,	PUNCT
ejpam-5793	142	20	applications	application	NOUN
ejpam-5793	142	21	,	,	PUNCT
ejpam-5793	142	22	and	and	CCONJ
ejpam-5793	142	23	advantages	advantage	NOUN
ejpam-5793	142	24	.	.	PUNCT
ejpam-5793	143	1	these	these	DET
ejpam-5793	143	2	options	option	NOUN
ejpam-5793	143	3	are	be	AUX
ejpam-5793	143	4	typically	typically	ADV
ejpam-5793	143	5	less	less	ADV
ejpam-5793	143	6	expensive	expensive	ADJ
ejpam-5793	143	7	than	than	ADP
ejpam-5793	143	8	standard	standard	ADJ
ejpam-5793	143	9	vanilla	vanilla	NOUN
ejpam-5793	143	10	options	option	NOUN
ejpam-5793	143	11	but	but	CCONJ
ejpam-5793	143	12	still	still	ADV
ejpam-5793	143	13	allow	allow	VERB
ejpam-5793	143	14	holders	holder	NOUN
ejpam-5793	143	15	to	to	PART
ejpam-5793	143	16	benefit	benefit	VERB
ejpam-5793	143	17	from	from	ADP
ejpam-5793	143	18	fluctuations	fluctuation	NOUN
ejpam-5793	143	19	in	in	ADP
ejpam-5793	143	20	the	the	DET
ejpam-5793	143	21	spot	spot	NOUN
ejpam-5793	143	22	price	price	NOUN
ejpam-5793	143	23	,	,	PUNCT
ejpam-5793	143	24	whether	whether	SCONJ
ejpam-5793	143	25	upward	upward	ADJ
ejpam-5793	143	26	or	or	CCONJ
ejpam-5793	143	27	downward	downward	ADJ
ejpam-5793	143	28	.	.	PUNCT
ejpam-5793	144	1	the	the	DET
ejpam-5793	144	2	payout	payout	NOUN
ejpam-5793	144	3	to	to	ADP
ejpam-5793	144	4	the	the	DET
ejpam-5793	144	5	holder	holder	NOUN
ejpam-5793	144	6	depends	depend	VERB
ejpam-5793	144	7	on	on	ADP
ejpam-5793	144	8	the	the	DET
ejpam-5793	144	9	underlying	underlie	VERB
ejpam-5793	144	10	asset	asset	NOUN
ejpam-5793	144	11	breaching	breach	VERB
ejpam-5793	144	12	two	two	NUM
ejpam-5793	144	13	barriers	barrier	NOUN
ejpam-5793	144	14	,	,	PUNCT
ejpam-5793	144	15	bl	bl	PROPN
ejpam-5793	144	16	and	and	CCONJ
ejpam-5793	144	17	br	br	PROPN
ejpam-5793	144	18	.	.	PUNCT
ejpam-5793	145	1	for	for	ADP
ejpam-5793	145	2	pricing	price	VERB
ejpam-5793	145	3	double	double	ADJ
ejpam-5793	145	4	barrier	barrier	NOUN
ejpam-5793	145	5	options	option	NOUN
ejpam-5793	145	6	,	,	PUNCT
ejpam-5793	145	7	zhang	zhang	PROPN
ejpam-5793	145	8	et	et	PROPN
ejpam-5793	145	9	al	al	PROPN
ejpam-5793	145	10	.	.	PUNCT
ejpam-5793	146	1	[	[	X
ejpam-5793	146	2	50	50	NUM
ejpam-5793	146	3	]	]	PUNCT
ejpam-5793	146	4	introduced	introduce	VERB
ejpam-5793	146	5	an	an	DET
ejpam-5793	146	6	implicit	implicit	ADJ
ejpam-5793	146	7	discrete	discrete	ADJ
ejpam-5793	146	8	scheme	scheme	NOUN
ejpam-5793	146	9	,	,	PUNCT
ejpam-5793	146	10	golbabai	golbabai	NOUN
ejpam-5793	146	11	et	et	PROPN
ejpam-5793	146	12	al	al	PROPN
ejpam-5793	146	13	.	.	PUNCT
ejpam-5793	147	1	[	[	X
ejpam-5793	147	2	27	27	NUM
ejpam-5793	147	3	]	]	PUNCT
ejpam-5793	147	4	proposed	propose	VERB
ejpam-5793	147	5	the	the	DET
ejpam-5793	147	6	moving	move	VERB
ejpam-5793	147	7	least	least	ADJ
ejpam-5793	147	8	-	-	PUNCT
ejpam-5793	147	9	squares	square	NOUN
ejpam-5793	147	10	technique	technique	NOUN
ejpam-5793	147	11	,	,	PUNCT
ejpam-5793	147	12	and	and	CCONJ
ejpam-5793	147	13	[	[	X
ejpam-5793	147	14	28	28	NUM
ejpam-5793	147	15	]	]	PUNCT
ejpam-5793	147	16	presented	present	VERB
ejpam-5793	147	17	a	a	DET
ejpam-5793	147	18	meshless	meshless	ADJ
ejpam-5793	147	19	radial	radial	ADJ
ejpam-5793	147	20	basis	basis	NOUN
ejpam-5793	147	21	function	function	NOUN
ejpam-5793	147	22	method	method	NOUN
ejpam-5793	147	23	.	.	PUNCT
ejpam-5793	148	1	in	in	ADP
ejpam-5793	148	2	model	model	NOUN
ejpam-5793	148	3	(	(	PUNCT
ejpam-5793	148	4	12	12	NUM
ejpam-5793	148	5	)	)	PUNCT
ejpam-5793	148	6	,	,	PUNCT
ejpam-5793	148	7	it	it	PRON
ejpam-5793	148	8	is	be	AUX
ejpam-5793	148	9	assumed	assume	VERB
ejpam-5793	148	10	that	that	SCONJ
ejpam-5793	148	11	the	the	DET
ejpam-5793	148	12	underlying	underlie	VERB
ejpam-5793	148	13	asset	asset	NOUN
ejpam-5793	148	14	adheres	adhere	VERB
ejpam-5793	148	15	to	to	ADP
ejpam-5793	148	16	a	a	DET
ejpam-5793	148	17	conventional	conventional	ADJ
ejpam-5793	148	18	geometric	geometric	ADJ
ejpam-5793	148	19	brownian	brownian	ADJ
ejpam-5793	148	20	motion	motion	NOUN
ejpam-5793	148	21	,	,	PUNCT
ejpam-5793	148	22	while	while	SCONJ
ejpam-5793	148	23	the	the	DET
ejpam-5793	148	24	fluctuations	fluctuation	NOUN
ejpam-5793	148	25	in	in	ADP
ejpam-5793	148	26	option	option	NOUN
ejpam-5793	148	27	prices	price	NOUN
ejpam-5793	148	28	are	be	AUX
ejpam-5793	148	29	modeled	model	VERB
ejpam-5793	148	30	based	base	VERB
ejpam-5793	148	31	on	on	ADP
ejpam-5793	148	32	fractal	fractal	ADJ
ejpam-5793	148	33	transmission	transmission	NOUN
ejpam-5793	148	34	patterns	pattern	NOUN
ejpam-5793	148	35	[	[	X
ejpam-5793	148	36	21	21	NUM
ejpam-5793	148	37	,	,	PUNCT
ejpam-5793	148	38	50	50	NUM
ejpam-5793	148	39	]	]	PUNCT
ejpam-5793	148	40	.	.	PUNCT
ejpam-5793	149	1	the	the	DET
ejpam-5793	149	2	boundary	boundary	ADJ
ejpam-5793	149	3	and	and	CCONJ
ejpam-5793	149	4	terminal	terminal	ADJ
ejpam-5793	149	5	conditions	condition	NOUN
ejpam-5793	149	6	for	for	ADP
ejpam-5793	149	7	the	the	DET
ejpam-5793	149	8	time	time	NOUN
ejpam-5793	149	9	-	-	PUNCT
ejpam-5793	149	10	fractional	fractional	ADJ
ejpam-5793	149	11	black	black	ADJ
ejpam-5793	149	12	-	-	PUNCT
ejpam-5793	149	13	scholes	schole	NOUN
ejpam-5793	149	14	model	model	NOUN
ejpam-5793	149	15	used	use	VERB
ejpam-5793	149	16	in	in	ADP
ejpam-5793	149	17	option	option	NOUN
ejpam-5793	149	18	pricing	pricing	NOUN
ejpam-5793	149	19	are	be	AUX
ejpam-5793	149	20	defined	define	VERB
ejpam-5793	149	21	as	as	SCONJ
ejpam-5793	149	22	follows	follow	VERB
ejpam-5793	149	23	[	[	X
ejpam-5793	149	24	21	21	NUM
ejpam-5793	149	25	,	,	PUNCT
ejpam-5793	149	26	50	50	NUM
ejpam-5793	149	27	]	]	PUNCT
ejpam-5793	149	28	:	:	PUNCT
ejpam-5793	149	29	∂ηp	∂ηp	PROPN
ejpam-5793	149	30	∂tη	∂tη	VERB
ejpam-5793	149	31	=	=	SYM
ejpam-5793	149	32	−1	−1	NOUN
ejpam-5793	149	33	2	2	NUM
ejpam-5793	149	34	ς2a2	ς2a2	NOUN
ejpam-5793	149	35	∂	∂	NUM
ejpam-5793	149	36	2p	2p	NOUN
ejpam-5793	149	37	∂a2	∂a2	VERB
ejpam-5793	149	38	−	−	PROPN
ejpam-5793	149	39	ϵa∂p	ϵa∂p	PROPN
ejpam-5793	150	1	∂a	∂a	NOUN
ejpam-5793	150	2	+	+	CCONJ
ejpam-5793	150	3	rp	rp	NOUN
ejpam-5793	150	4	,	,	PUNCT
ejpam-5793	150	5	0	0	PUNCT
ejpam-5793	150	6	<	<	X
ejpam-5793	150	7	η	η	PROPN
ejpam-5793	150	8	≤	≤	PROPN
ejpam-5793	150	9	1	1	NUM
ejpam-5793	150	10	,	,	PUNCT
ejpam-5793	150	11	0	0	NUM
ejpam-5793	150	12	≤	≤	NUM
ejpam-5793	150	13	t	t	PROPN
ejpam-5793	150	14	≤	≤	PROPN
ejpam-5793	150	15	t	t	PROPN
ejpam-5793	150	16	,	,	PUNCT
ejpam-5793	150	17	a	a	DET
ejpam-5793	150	18	≥	≥	NOUN
ejpam-5793	150	19	0	0	NUM
ejpam-5793	150	20	,	,	PUNCT
ejpam-5793	150	21	p(a	p(a	PROPN
ejpam-5793	150	22	,	,	PUNCT
ejpam-5793	150	23	t	t	NOUN
ejpam-5793	150	24	)	)	PUNCT
ejpam-5793	150	25	=	=	SYM
ejpam-5793	150	26	f(a	f(a	PROPN
ejpam-5793	150	27	)	)	PUNCT
ejpam-5793	150	28	,	,	PUNCT
ejpam-5793	150	29	p(0	p(0	PROPN
ejpam-5793	150	30	,	,	PUNCT
ejpam-5793	150	31	t	t	PROPN
ejpam-5793	150	32	)	)	PUNCT
ejpam-5793	150	33	=	=	SYM
ejpam-5793	150	34	f1(t	f1(t	PROPN
ejpam-5793	150	35	)	)	PUNCT
ejpam-5793	150	36	,	,	PUNCT
ejpam-5793	150	37	p(+∞	p(+∞	PROPN
ejpam-5793	150	38	,	,	PUNCT
ejpam-5793	150	39	t	t	PROPN
ejpam-5793	150	40	)	)	PUNCT
ejpam-5793	150	41	=	=	SYM
ejpam-5793	150	42	f2(t	f2(t	PROPN
ejpam-5793	150	43	)	)	PUNCT
ejpam-5793	150	44	.	.	PUNCT
ejpam-5793	151	1	(	(	PUNCT
ejpam-5793	151	2	12	12	NUM
ejpam-5793	151	3	)	)	PUNCT
ejpam-5793	151	4	the	the	DET
ejpam-5793	151	5	payoff	payoff	NOUN
ejpam-5793	151	6	function	function	NOUN
ejpam-5793	151	7	serves	serve	VERB
ejpam-5793	151	8	as	as	ADP
ejpam-5793	151	9	the	the	DET
ejpam-5793	151	10	initial	initial	ADJ
ejpam-5793	151	11	condition	condition	NOUN
ejpam-5793	151	12	for	for	ADP
ejpam-5793	151	13	an	an	DET
ejpam-5793	151	14	initial	initial	ADJ
ejpam-5793	151	15	value	value	NOUN
ejpam-5793	151	16	problem	problem	NOUN
ejpam-5793	151	17	that	that	PRON
ejpam-5793	151	18	reformulates	reformulate	VERB
ejpam-5793	151	19	model	model	NOUN
ejpam-5793	151	20	(	(	PUNCT
ejpam-5793	151	21	12	12	NUM
ejpam-5793	151	22	)	)	PUNCT
ejpam-5793	151	23	through	through	ADP
ejpam-5793	151	24	a	a	DET
ejpam-5793	151	25	linear	linear	ADJ
ejpam-5793	151	26	transformation	transformation	NOUN
ejpam-5793	151	27	t	t	PROPN
ejpam-5793	151	28	=	=	PUNCT
ejpam-5793	151	29	t	t	PROPN
ejpam-5793	151	30	−	−	PROPN
ejpam-5793	151	31	t	t	PROPN
ejpam-5793	151	32	of	of	ADP
ejpam-5793	151	33	the	the	DET
ejpam-5793	151	34	variable	variable	NOUN
ejpam-5793	151	35	.	.	PUNCT
ejpam-5793	152	1	consequently	consequently	ADV
ejpam-5793	152	2	,	,	PUNCT
ejpam-5793	152	3	this	this	PRON
ejpam-5793	152	4	leads	lead	VERB
ejpam-5793	152	5	to	to	ADP
ejpam-5793	152	6	a	a	DET
ejpam-5793	152	7	redefinition	redefinition	NOUN
ejpam-5793	152	8	of	of	ADP
ejpam-5793	152	9	the	the	DET
ejpam-5793	152	10	boundary	boundary	ADJ
ejpam-5793	152	11	and	and	CCONJ
ejpam-5793	152	12	initial	initial	ADJ
ejpam-5793	152	13	conditions	condition	NOUN
ejpam-5793	152	14	for	for	ADP
ejpam-5793	152	15	the	the	DET
ejpam-5793	152	16	fractional	fractional	ADJ
ejpam-5793	152	17	pde	pde	NOUN
ejpam-5793	152	18	model	model	NOUN
ejpam-5793	152	19	.	.	PUNCT
ejpam-5793	153	1	∂ηp	∂ηp	PROPN
ejpam-5793	153	2	∂t	∂t	PROPN
ejpam-5793	153	3	η	η	PROPN
ejpam-5793	153	4	=	=	PROPN
ejpam-5793	153	5	1	1	NUM
ejpam-5793	153	6	2	2	NUM
ejpam-5793	153	7	ς2a2	ς2a2	NOUN
ejpam-5793	153	8	∂	∂	NUM
ejpam-5793	153	9	2p	2p	NUM
ejpam-5793	153	10	∂a2	∂a2	VERB
ejpam-5793	153	11	+	+	CCONJ
ejpam-5793	153	12	ϵa∂p	ϵa∂p	PROPN
ejpam-5793	153	13	∂a	∂a	NOUN
ejpam-5793	153	14	−	−	PROPN
ejpam-5793	153	15	rp	rp	NOUN
ejpam-5793	153	16	,	,	PUNCT
ejpam-5793	153	17	p(a	p(a	PROPN
ejpam-5793	153	18	,	,	PUNCT
ejpam-5793	153	19	0	0	NUM
ejpam-5793	153	20	)	)	PUNCT
ejpam-5793	153	21	=	=	SYM
ejpam-5793	153	22	f(a	f(a	NOUN
ejpam-5793	153	23	)	)	PUNCT
ejpam-5793	153	24	,	,	PUNCT
ejpam-5793	153	25	p(0	p(0	PROPN
ejpam-5793	153	26	,	,	PUNCT
ejpam-5793	153	27	t	t	NOUN
ejpam-5793	153	28	)	)	PUNCT
ejpam-5793	154	1	=	=	SYM
ejpam-5793	154	2	f1(t	f1(t	PROPN
ejpam-5793	154	3	)	)	PUNCT
ejpam-5793	154	4	,	,	PUNCT
ejpam-5793	154	5	p(+∞	p(+∞	PROPN
ejpam-5793	154	6	,	,	PUNCT
ejpam-5793	154	7	t	t	NOUN
ejpam-5793	154	8	)	)	PUNCT
ejpam-5793	154	9	=	=	SYM
ejpam-5793	154	10	f2(t	f2(t	PROPN
ejpam-5793	154	11	)	)	PUNCT
ejpam-5793	154	12	.	.	PUNCT
ejpam-5793	155	1	(	(	PUNCT
ejpam-5793	155	2	13	13	NUM
ejpam-5793	155	3	)	)	PUNCT
ejpam-5793	155	4	when	when	SCONJ
ejpam-5793	155	5	η	η	PROPN
ejpam-5793	155	6	=	=	PROPN
ejpam-5793	155	7	1	1	NUM
ejpam-5793	155	8	,	,	PUNCT
ejpam-5793	155	9	eq	eq	NOUN
ejpam-5793	155	10	.	.	PUNCT
ejpam-5793	155	11	(	(	PUNCT
ejpam-5793	155	12	13	13	NUM
ejpam-5793	155	13	)	)	PUNCT
ejpam-5793	155	14	simplifies	simplifie	NOUN
ejpam-5793	155	15	to	to	ADP
ejpam-5793	155	16	the	the	DET
ejpam-5793	155	17	standard	standard	ADJ
ejpam-5793	155	18	black	black	ADJ
ejpam-5793	155	19	-	-	PUNCT
ejpam-5793	155	20	scholes	schole	NOUN
ejpam-5793	155	21	model	model	NOUN
ejpam-5793	155	22	.	.	PUNCT
ejpam-5793	156	1	in	in	ADP
ejpam-5793	156	2	this	this	DET
ejpam-5793	156	3	scenario	scenario	NOUN
ejpam-5793	156	4	,	,	PUNCT
ejpam-5793	156	5	we	we	PRON
ejpam-5793	156	6	implement	implement	VERB
ejpam-5793	156	7	the	the	DET
ejpam-5793	156	8	proposed	propose	VERB
ejpam-5793	156	9	method	method	NOUN
ejpam-5793	156	10	to	to	PART
ejpam-5793	156	11	derive	derive	VERB
ejpam-5793	156	12	the	the	DET
ejpam-5793	156	13	numerical	numerical	ADJ
ejpam-5793	156	14	solution	solution	NOUN
ejpam-5793	156	15	by	by	ADP
ejpam-5793	156	16	examining	examine	VERB
ejpam-5793	156	17	three	three	NUM
ejpam-5793	156	18	imtiaz	imtiaz	PROPN
ejpam-5793	156	19	ahmad	ahmad	PROPN
ejpam-5793	156	20	et	et	PROPN
ejpam-5793	156	21	al	al	PROPN
ejpam-5793	156	22	.	.	PUNCT
ejpam-5793	156	23	/	/	SYM
ejpam-5793	156	24	eur	eur	PROPN
ejpam-5793	156	25	.	.	PUNCT
ejpam-5793	157	1	j.	j.	PROPN
ejpam-5793	157	2	pure	pure	PROPN
ejpam-5793	157	3	appl	appl	PROPN
ejpam-5793	157	4	.	.	PROPN
ejpam-5793	157	5	math	math	PROPN
ejpam-5793	157	6	,	,	PUNCT
ejpam-5793	157	7	18	18	NUM
ejpam-5793	157	8	(	(	PUNCT
ejpam-5793	157	9	1	1	NUM
ejpam-5793	157	10	)	)	PUNCT
ejpam-5793	157	11	(	(	PUNCT
ejpam-5793	157	12	2025	2025	NUM
ejpam-5793	157	13	)	)	PUNCT
ejpam-5793	157	14	,	,	PUNCT
ejpam-5793	157	15	5793	5793	NUM
ejpam-5793	157	16	8	8	NUM
ejpam-5793	157	17	of	of	ADP
ejpam-5793	157	18	27	27	NUM
ejpam-5793	157	19	models	model	NOUN
ejpam-5793	157	20	.	.	PUNCT
ejpam-5793	158	1	for	for	ADP
ejpam-5793	158	2	european	european	ADJ
ejpam-5793	158	3	options	option	NOUN
ejpam-5793	158	4	,	,	PUNCT
ejpam-5793	158	5	we	we	PRON
ejpam-5793	158	6	utilize	utilize	VERB
ejpam-5793	158	7	the	the	DET
ejpam-5793	158	8	tfbsm	tfbsm	NOUN
ejpam-5793	159	1	[	[	X
ejpam-5793	159	2	18	18	NUM
ejpam-5793	159	3	]	]	SYM
ejpam-5793	159	4	:	:	PUNCT
ejpam-5793	159	5	∂ηp	∂ηp	PROPN
ejpam-5793	159	6	∂t	∂t	PROPN
ejpam-5793	159	7	η	η	PROPN
ejpam-5793	159	8	−	−	PROPN
ejpam-5793	159	9	1	1	NUM
ejpam-5793	159	10	2	2	NUM
ejpam-5793	159	11	ς2a2	ς2a2	NOUN
ejpam-5793	159	12	∂	∂	NUM
ejpam-5793	159	13	2p	2p	NOUN
ejpam-5793	159	14	∂a2	∂a2	VERB
ejpam-5793	159	15	−	−	PROPN
ejpam-5793	160	1	ϵa∂p	ϵa∂p	PROPN
ejpam-5793	160	2	∂a	∂a	NOUN
ejpam-5793	161	1	+	+	CCONJ
ejpam-5793	161	2	ϵp	ϵp	ADP
ejpam-5793	161	3	=	=	SYM
ejpam-5793	161	4	0	0	NUM
ejpam-5793	161	5	,	,	PUNCT
ejpam-5793	161	6	(	(	PUNCT
ejpam-5793	161	7	a	a	X
ejpam-5793	161	8	,	,	PUNCT
ejpam-5793	161	9	t	t	NOUN
ejpam-5793	161	10	)	)	PUNCT
ejpam-5793	161	11	∈	∈	PROPN
ejpam-5793	161	12	(	(	PUNCT
ejpam-5793	161	13	0,amax)×	0,amax)×	X
ejpam-5793	161	14	(	(	PUNCT
ejpam-5793	161	15	0	0	NUM
ejpam-5793	161	16	,	,	PUNCT
ejpam-5793	161	17	t	t	NOUN
ejpam-5793	161	18	)	)	PUNCT
ejpam-5793	161	19	,	,	PUNCT
ejpam-5793	161	20	p(a	p(a	PROPN
ejpam-5793	161	21	,	,	PUNCT
ejpam-5793	161	22	0	0	NUM
ejpam-5793	161	23	)	)	PUNCT
ejpam-5793	161	24	=	=	SYM
ejpam-5793	161	25	f(a	f(a	NOUN
ejpam-5793	161	26	)	)	PUNCT
ejpam-5793	161	27	,	,	PUNCT
ejpam-5793	161	28	p(0	p(0	PROPN
ejpam-5793	161	29	,	,	PUNCT
ejpam-5793	161	30	t	t	NOUN
ejpam-5793	161	31	)	)	PUNCT
ejpam-5793	161	32	=	=	SYM
ejpam-5793	162	1	f1(t	f1(t	PROPN
ejpam-5793	162	2	)	)	PUNCT
ejpam-5793	162	3	,	,	PUNCT
ejpam-5793	162	4	p(amax	p(amax	NOUN
ejpam-5793	162	5	,	,	PUNCT
ejpam-5793	162	6	t	t	NOUN
ejpam-5793	162	7	)	)	PUNCT
ejpam-5793	163	1	=	=	SYM
ejpam-5793	163	2	f2(t	f2(t	PROPN
ejpam-5793	163	3	)	)	PUNCT
ejpam-5793	163	4	.	.	PUNCT
ejpam-5793	164	1	(	(	PUNCT
ejpam-5793	164	2	14	14	NUM
ejpam-5793	164	3	)	)	PUNCT
ejpam-5793	164	4	for	for	ADP
ejpam-5793	164	5	american	american	ADJ
ejpam-5793	164	6	put	put	NOUN
ejpam-5793	164	7	options	option	NOUN
ejpam-5793	164	8	with	with	ADP
ejpam-5793	164	9	penalty	penalty	NOUN
ejpam-5793	164	10	term	term	NOUN
ejpam-5793	164	11	approach	approach	NOUN
ejpam-5793	164	12	[	[	X
ejpam-5793	164	13	35	35	NUM
ejpam-5793	164	14	]	]	PUNCT
ejpam-5793	164	15	is	be	AUX
ejpam-5793	164	16	given	give	VERB
ejpam-5793	164	17	as	as	ADP
ejpam-5793	164	18	follow	follow	NOUN
ejpam-5793	164	19	using	use	VERB
ejpam-5793	164	20	tfbsm	tfbsm	ADJ
ejpam-5793	164	21	.	.	PUNCT
ejpam-5793	165	1	this	this	DET
ejpam-5793	165	2	formulation	formulation	NOUN
ejpam-5793	165	3	extends	extend	VERB
ejpam-5793	165	4	the	the	DET
ejpam-5793	165	5	model	model	NOUN
ejpam-5793	165	6	presented	present	VERB
ejpam-5793	165	7	in	in	ADP
ejpam-5793	165	8	[	[	X
ejpam-5793	165	9	25	25	NUM
ejpam-5793	165	10	]	]	PUNCT
ejpam-5793	165	11	from	from	ADP
ejpam-5793	165	12	a	a	DET
ejpam-5793	165	13	fixed	fix	VERB
ejpam-5793	165	14	domain	domain	NOUN
ejpam-5793	165	15	to	to	PART
ejpam-5793	165	16	incorporate	incorporate	VERB
ejpam-5793	165	17	time	time	NOUN
ejpam-5793	165	18	-	-	PUNCT
ejpam-5793	165	19	fractional	fractional	ADJ
ejpam-5793	165	20	orders	order	NOUN
ejpam-5793	165	21	.	.	PUNCT
ejpam-5793	166	1	∂ηp	∂ηp	PROPN
ejpam-5793	166	2	∂t	∂t	PROPN
ejpam-5793	166	3	η	η	PROPN
ejpam-5793	166	4	=	=	PROPN
ejpam-5793	166	5	1	1	NUM
ejpam-5793	166	6	2	2	NUM
ejpam-5793	166	7	ς2a2	ς2a2	NOUN
ejpam-5793	166	8	∂	∂	NUM
ejpam-5793	166	9	2p	2p	NUM
ejpam-5793	166	10	∂a2	∂a2	VERB
ejpam-5793	166	11	+	+	CCONJ
ejpam-5793	167	1	ϵa∂p	ϵa∂p	PROPN
ejpam-5793	167	2	∂a	∂a	NOUN
ejpam-5793	167	3	−	−	NOUN
ejpam-5793	168	1	ϵp	ϵp	ADP
ejpam-5793	169	1	+	+	CCONJ
ejpam-5793	169	2	µc	µc	INTJ
ejpam-5793	169	3	p	p	X
ejpam-5793	169	4	+	+	NUM
ejpam-5793	169	5	µ−	µ−	PROPN
ejpam-5793	169	6	q(a	q(a	NOUN
ejpam-5793	169	7	)	)	PUNCT
ejpam-5793	169	8	,	,	PUNCT
ejpam-5793	169	9	(	(	PUNCT
ejpam-5793	169	10	a	a	X
ejpam-5793	169	11	,	,	PUNCT
ejpam-5793	169	12	t	t	NOUN
ejpam-5793	169	13	)	)	PUNCT
ejpam-5793	169	14	∈	∈	PROPN
ejpam-5793	169	15	(	(	PUNCT
ejpam-5793	169	16	0,amax)×	0,amax)×	X
ejpam-5793	169	17	(	(	PUNCT
ejpam-5793	169	18	0	0	NUM
ejpam-5793	169	19	,	,	PUNCT
ejpam-5793	169	20	t	t	NOUN
ejpam-5793	169	21	)	)	PUNCT
ejpam-5793	169	22	,	,	PUNCT
ejpam-5793	169	23	p(a	p(a	PROPN
ejpam-5793	169	24	,	,	PUNCT
ejpam-5793	169	25	0	0	NUM
ejpam-5793	169	26	)	)	PUNCT
ejpam-5793	170	1	=	=	SYM
ejpam-5793	170	2	max(e	max(e	PROPN
ejpam-5793	170	3	−	−	PROPN
ejpam-5793	170	4	a	a	NOUN
ejpam-5793	170	5	,	,	PUNCT
ejpam-5793	170	6	0	0	NUM
ejpam-5793	170	7	)	)	PUNCT
ejpam-5793	170	8	,	,	PUNCT
ejpam-5793	170	9	p(0	p(0	PROPN
ejpam-5793	170	10	,	,	PUNCT
ejpam-5793	170	11	t	t	NOUN
ejpam-5793	170	12	)	)	PUNCT
ejpam-5793	171	1	=	=	SYM
ejpam-5793	171	2	e	e	PROPN
ejpam-5793	171	3	,	,	PUNCT
ejpam-5793	171	4	lim	lim	PROPN
ejpam-5793	171	5	a→∞	a→∞	PROPN
ejpam-5793	171	6	p(a	p(a	PROPN
ejpam-5793	171	7	,	,	PUNCT
ejpam-5793	171	8	t	t	PROPN
ejpam-5793	171	9	)	)	PUNCT
ejpam-5793	171	10	=	=	PUNCT
ejpam-5793	172	1	0	0	X
ejpam-5793	172	2	.	.	PUNCT
ejpam-5793	173	1	(	(	PUNCT
ejpam-5793	173	2	15	15	NUM
ejpam-5793	173	3	)	)	PUNCT
ejpam-5793	173	4	the	the	DET
ejpam-5793	173	5	initial	initial	ADJ
ejpam-5793	173	6	stock	stock	NOUN
ejpam-5793	173	7	price	price	NOUN
ejpam-5793	173	8	is	be	AUX
ejpam-5793	173	9	denoted	denote	VERB
ejpam-5793	173	10	as	as	ADP
ejpam-5793	173	11	a0	a0	NOUN
ejpam-5793	173	12	,	,	PUNCT
ejpam-5793	173	13	while	while	SCONJ
ejpam-5793	173	14	the	the	DET
ejpam-5793	173	15	current	current	ADJ
ejpam-5793	173	16	stock	stock	NOUN
ejpam-5793	173	17	price	price	NOUN
ejpam-5793	173	18	is	be	AUX
ejpam-5793	173	19	represented	represent	VERB
ejpam-5793	173	20	by	by	ADP
ejpam-5793	173	21	a	a	PRON
ejpam-5793	173	22	,	,	PUNCT
ejpam-5793	173	23	with	with	ADP
ejpam-5793	173	24	the	the	DET
ejpam-5793	173	25	condition	condition	NOUN
ejpam-5793	174	1	that	that	SCONJ
ejpam-5793	174	2	0	0	PUNCT
ejpam-5793	174	3	<	<	X
ejpam-5793	174	4	η	η	PROPN
ejpam-5793	174	5	≤	≤	PROPN
ejpam-5793	174	6	1	1	NUM
ejpam-5793	174	7	.	.	PUNCT
ejpam-5793	175	1	the	the	DET
ejpam-5793	175	2	volatility	volatility	NOUN
ejpam-5793	175	3	of	of	ADP
ejpam-5793	175	4	returns	return	NOUN
ejpam-5793	175	5	is	be	AUX
ejpam-5793	175	6	indicated	indicate	VERB
ejpam-5793	175	7	by	by	ADP
ejpam-5793	175	8	ς(≥	ς(≥	PROPN
ejpam-5793	175	9	0	0	NUM
ejpam-5793	175	10	)	)	PUNCT
ejpam-5793	175	11	,	,	PUNCT
ejpam-5793	175	12	and	and	CCONJ
ejpam-5793	175	13	ϵ	ϵ	PROPN
ejpam-5793	175	14	signifies	signify	VERB
ejpam-5793	175	15	the	the	DET
ejpam-5793	175	16	risk	risk	NOUN
ejpam-5793	175	17	-	-	PUNCT
ejpam-5793	175	18	free	free	ADJ
ejpam-5793	175	19	interest	interest	NOUN
ejpam-5793	175	20	rate	rate	NOUN
ejpam-5793	175	21	where	where	SCONJ
ejpam-5793	175	22	e	e	NOUN
ejpam-5793	175	23	is	be	AUX
ejpam-5793	175	24	exercise	exercise	NOUN
ejpam-5793	175	25	price	price	NOUN
ejpam-5793	175	26	,	,	PUNCT
ejpam-5793	175	27	t	t	PROPN
ejpam-5793	175	28	refers	refer	VERB
ejpam-5793	175	29	to	to	ADP
ejpam-5793	175	30	the	the	DET
ejpam-5793	175	31	time	time	NOUN
ejpam-5793	175	32	until	until	ADP
ejpam-5793	175	33	expiration	expiration	NOUN
ejpam-5793	175	34	,	,	PUNCT
ejpam-5793	175	35	and	and	CCONJ
ejpam-5793	175	36	ρ	ρ	NOUN
ejpam-5793	175	37	represents	represent	VERB
ejpam-5793	175	38	market	market	NOUN
ejpam-5793	175	39	liquidity	liquidity	NOUN
ejpam-5793	175	40	.	.	PUNCT
ejpam-5793	176	1	the	the	DET
ejpam-5793	176	2	option	option	NOUN
ejpam-5793	176	3	price	price	NOUN
ejpam-5793	176	4	is	be	AUX
ejpam-5793	176	5	expressed	express	VERB
ejpam-5793	176	6	as	as	ADP
ejpam-5793	176	7	p(a	p(a	PROPN
ejpam-5793	176	8	,	,	PUNCT
ejpam-5793	176	9	t	t	PROPN
ejpam-5793	176	10	)	)	PUNCT
ejpam-5793	176	11	,	,	PUNCT
ejpam-5793	176	12	with	with	ADP
ejpam-5793	176	13	the	the	DET
ejpam-5793	176	14	additional	additional	ADJ
ejpam-5793	176	15	conditions	condition	NOUN
ejpam-5793	176	16	that	that	PRON
ejpam-5793	176	17	c	c	PROPN
ejpam-5793	176	18	≥	≥	X
ejpam-5793	176	19	ϵe	ϵe	X
ejpam-5793	176	20	,	,	PUNCT
ejpam-5793	176	21	0	0	PUNCT
ejpam-5793	176	22	<	<	X
ejpam-5793	176	23	µ	µ	X
ejpam-5793	176	24	≪	≪	ADJ
ejpam-5793	176	25	1	1	NUM
ejpam-5793	176	26	,	,	PUNCT
ejpam-5793	176	27	and	and	CCONJ
ejpam-5793	176	28	q(a	q(a	PROPN
ejpam-5793	176	29	)	)	PUNCT
ejpam-5793	177	1	=	=	SYM
ejpam-5793	177	2	e	e	X
ejpam-5793	177	3	−	−	NOUN
ejpam-5793	177	4	a.	a.	NOUN
ejpam-5793	177	5	4	4	NUM
ejpam-5793	177	6	.	.	PUNCT
ejpam-5793	177	7	proposed	propose	VERB
ejpam-5793	177	8	methodology	methodology	NOUN
ejpam-5793	177	9	the	the	DET
ejpam-5793	177	10	hybrid	hybrid	ADJ
ejpam-5793	177	11	meshless	meshless	ADJ
ejpam-5793	177	12	method	method	NOUN
ejpam-5793	177	13	proposed	propose	VERB
ejpam-5793	177	14	in	in	ADP
ejpam-5793	177	15	this	this	DET
ejpam-5793	177	16	section	section	NOUN
ejpam-5793	177	17	aims	aim	VERB
ejpam-5793	177	18	to	to	PART
ejpam-5793	177	19	approximate	approximate	VERB
ejpam-5793	177	20	the	the	DET
ejpam-5793	177	21	twoterm	twoterm	NOUN
ejpam-5793	177	22	time	time	NOUN
ejpam-5793	177	23	-	-	PUNCT
ejpam-5793	177	24	fractional	fractional	ADJ
ejpam-5793	177	25	model	model	NOUN
ejpam-5793	177	26	eqs	eqs	PROPN
ejpam-5793	177	27	.	.	PUNCT
ejpam-5793	178	1	(	(	PUNCT
ejpam-5793	178	2	14)-(15	14)-(15	NUM
ejpam-5793	178	3	)	)	PUNCT
ejpam-5793	178	4	.	.	PUNCT
ejpam-5793	179	1	to	to	PART
ejpam-5793	179	2	facilitate	facilitate	VERB
ejpam-5793	179	3	the	the	DET
ejpam-5793	179	4	discussion	discussion	NOUN
ejpam-5793	179	5	,	,	PUNCT
ejpam-5793	179	6	we	we	PRON
ejpam-5793	179	7	provide	provide	VERB
ejpam-5793	179	8	the	the	DET
ejpam-5793	179	9	following	follow	VERB
ejpam-5793	179	10	notation	notation	NOUN
ejpam-5793	179	11	:	:	PUNCT
ejpam-5793	179	12	pn+1(a	pn+1(a	NOUN
ejpam-5793	179	13	)	)	PUNCT
ejpam-5793	180	1	=	=	SYM
ejpam-5793	180	2	p(a	p(a	PROPN
ejpam-5793	180	3	,	,	PUNCT
ejpam-5793	180	4	t	t	PROPN
ejpam-5793	180	5	n+1	n+1	NUM
ejpam-5793	180	6	)	)	PUNCT
ejpam-5793	180	7	,	,	PUNCT
ejpam-5793	180	8	pn+1	pn+1	VERB
ejpam-5793	180	9	i	i	PROPN
ejpam-5793	180	10	=	=	SYM
ejpam-5793	180	11	p(ai	p(ai	PROPN
ejpam-5793	180	12	,	,	PUNCT
ejpam-5793	180	13	t	t	PROPN
ejpam-5793	180	14	n+1	n+1	NUM
ejpam-5793	180	15	)	)	PUNCT
ejpam-5793	180	16	,	,	PUNCT
ejpam-5793	180	17	here	here	ADV
ejpam-5793	180	18	the	the	DET
ejpam-5793	180	19	collocation	collocation	NOUN
ejpam-5793	180	20	points	point	NOUN
ejpam-5793	180	21	are	be	AUX
ejpam-5793	180	22	denoted	denote	VERB
ejpam-5793	180	23	by	by	ADP
ejpam-5793	180	24	ai	ai	ADP
ejpam-5793	180	25	and	and	CCONJ
ejpam-5793	180	26	the	the	DET
ejpam-5793	180	27	time	time	NOUN
ejpam-5793	180	28	-	-	PUNCT
ejpam-5793	180	29	step	step	NOUN
ejpam-5793	180	30	size	size	NOUN
ejpam-5793	180	31	is	be	AUX
ejpam-5793	180	32	represented	represent	VERB
ejpam-5793	180	33	by	by	ADP
ejpam-5793	180	34	∆t	∆t	PROPN
ejpam-5793	180	35	,	,	PUNCT
ejpam-5793	180	36	and	and	CCONJ
ejpam-5793	180	37	t	t	PROPN
ejpam-5793	180	38	n	n	NOUN
ejpam-5793	180	39	=	=	SYM
ejpam-5793	180	40	n×∆t	n×∆t	NOUN
ejpam-5793	180	41	:	:	PUNCT
ejpam-5793	180	42	ai	ai	VERB
ejpam-5793	180	43	=	=	X
ejpam-5793	180	44	a+	a+	PUNCT
ejpam-5793	180	45	iha	iha	PROPN
ejpam-5793	180	46	(	(	PUNCT
ejpam-5793	180	47	i	i	NOUN
ejpam-5793	180	48	=	=	NOUN
ejpam-5793	180	49	1	1	NUM
ejpam-5793	180	50	,	,	PUNCT
ejpam-5793	180	51	2	2	NUM
ejpam-5793	180	52	,	,	PUNCT
ejpam-5793	180	53	·	·	PUNCT
ejpam-5793	180	54	·	·	PUNCT
ejpam-5793	180	55	·	·	PUNCT
ejpam-5793	180	56	,	,	PUNCT
ejpam-5793	180	57	m	m	PROPN
ejpam-5793	180	58	,	,	PUNCT
ejpam-5793	180	59	m	m	VERB
ejpam-5793	180	60	∈	∈	PROPN
ejpam-5793	180	61	n	n	CCONJ
ejpam-5793	180	62	)	)	PUNCT
ejpam-5793	180	63	.	.	PUNCT
ejpam-5793	181	1	in	in	ADP
ejpam-5793	181	2	the	the	DET
ejpam-5793	181	3	spatial	spatial	ADJ
ejpam-5793	181	4	domain	domain	NOUN
ejpam-5793	181	5	ha	ha	INTJ
ejpam-5793	181	6	=	=	PUNCT
ejpam-5793	181	7	(	(	PUNCT
ejpam-5793	181	8	b−a)/m	b−a)/m	NOUN
ejpam-5793	181	9	,	,	PUNCT
ejpam-5793	181	10	the	the	DET
ejpam-5793	181	11	spatial	spatial	ADJ
ejpam-5793	181	12	step	step	NOUN
ejpam-5793	181	13	sizes	size	NOUN
ejpam-5793	181	14	are	be	AUX
ejpam-5793	181	15	denoted	denote	VERB
ejpam-5793	181	16	by	by	ADP
ejpam-5793	181	17	ha	ha	INTJ
ejpam-5793	181	18	=	=	SYM
ejpam-5793	181	19	(	(	PUNCT
ejpam-5793	181	20	b−a)/m	b−a)/m	NOUN
ejpam-5793	181	21	.	.	PUNCT
ejpam-5793	182	1	4.1	4.1	NUM
ejpam-5793	182	2	.	.	PUNCT
ejpam-5793	182	3	temporal	temporal	ADJ
ejpam-5793	182	4	discretization	discretization	NOUN
ejpam-5793	182	5	an	an	DET
ejpam-5793	182	6	approximation	approximation	NOUN
ejpam-5793	182	7	error	error	NOUN
ejpam-5793	182	8	of	of	ADP
ejpam-5793	182	9	order	order	NOUN
ejpam-5793	182	10	o(∆t	o(∆t	NOUN
ejpam-5793	182	11	2−η	2−η	NUM
ejpam-5793	182	12	)	)	PUNCT
ejpam-5793	182	13	is	be	AUX
ejpam-5793	182	14	obtained	obtain	VERB
ejpam-5793	182	15	for	for	ADP
ejpam-5793	182	16	the	the	DET
ejpam-5793	182	17	discrete	discrete	ADJ
ejpam-5793	182	18	formulation	formulation	NOUN
ejpam-5793	182	19	at	at	ADP
ejpam-5793	182	20	the	the	DET
ejpam-5793	182	21	(	(	PUNCT
ejpam-5793	182	22	n+	n+	NUM
ejpam-5793	182	23	1)th	1)th	NUM
ejpam-5793	182	24	time	time	NOUN
ejpam-5793	182	25	level	level	NOUN
ejpam-5793	182	26	by	by	ADP
ejpam-5793	182	27	employing	employ	VERB
ejpam-5793	182	28	the	the	DET
ejpam-5793	182	29	established	establish	VERB
ejpam-5793	182	30	l1	l1	PROPN
ejpam-5793	182	31	formula	formula	NOUN
ejpam-5793	182	32	,	,	PUNCT
ejpam-5793	182	33	with	with	ADP
ejpam-5793	182	34	the	the	DET
ejpam-5793	182	35	condition	condition	NOUN
ejpam-5793	182	36	that	that	SCONJ
ejpam-5793	182	37	0	0	PUNCT
ejpam-5793	182	38	<	<	X
ejpam-5793	182	39	η	η	PROPN
ejpam-5793	182	40	≤	≤	ADV
ejpam-5793	182	41	1	1	NUM
ejpam-5793	183	1	[	[	X
ejpam-5793	183	2	4	4	NUM
ejpam-5793	183	3	]	]	PUNCT
ejpam-5793	183	4	.	.	PUNCT
ejpam-5793	184	1	∂ηp(a	∂ηp(a	PROPN
ejpam-5793	184	2	,	,	PUNCT
ejpam-5793	184	3	t	t	PROPN
ejpam-5793	184	4	n+1	n+1	PROPN
ejpam-5793	184	5	)	)	PUNCT
ejpam-5793	184	6	∂t	∂t	PROPN
ejpam-5793	184	7	η	η	PROPN
ejpam-5793	184	8	=	=	PROPN
ejpam-5793	184	9	1	1	NUM
ejpam-5793	184	10	γ(1−	γ(1−	PROPN
ejpam-5793	184	11	η	η	PROPN
ejpam-5793	184	12	)	)	PUNCT
ejpam-5793	184	13	∫	∫	PROPN
ejpam-5793	185	1	t	t	PROPN
ejpam-5793	185	2	n+1	n+1	PROPN
ejpam-5793	185	3	0	0	NUM
ejpam-5793	185	4	∂p(a	∂p(a	PROPN
ejpam-5793	185	5	,	,	PUNCT
ejpam-5793	185	6	ζ	ζ	NOUN
ejpam-5793	185	7	)	)	PUNCT
ejpam-5793	185	8	∂ζ	∂ζ	PROPN
ejpam-5793	185	9	(	(	PUNCT
ejpam-5793	185	10	t	t	NOUN
ejpam-5793	185	11	n+1	n+1	NUM
ejpam-5793	185	12	−	−	PROPN
ejpam-5793	185	13	ζ)−ηdζ	ζ)−ηdζ	PROPN
ejpam-5793	185	14	,	,	PUNCT
ejpam-5793	185	15	imtiaz	imtiaz	PROPN
ejpam-5793	185	16	ahmad	ahmad	PROPN
ejpam-5793	185	17	et	et	PROPN
ejpam-5793	185	18	al	al	PROPN
ejpam-5793	185	19	.	.	PUNCT
ejpam-5793	185	20	/	/	SYM
ejpam-5793	185	21	eur	eur	PROPN
ejpam-5793	185	22	.	.	PUNCT
ejpam-5793	186	1	j.	j.	PROPN
ejpam-5793	186	2	pure	pure	PROPN
ejpam-5793	186	3	appl	appl	PROPN
ejpam-5793	186	4	.	.	PROPN
ejpam-5793	186	5	math	math	PROPN
ejpam-5793	186	6	,	,	PUNCT
ejpam-5793	186	7	18	18	NUM
ejpam-5793	186	8	(	(	PUNCT
ejpam-5793	186	9	1	1	NUM
ejpam-5793	186	10	)	)	PUNCT
ejpam-5793	186	11	(	(	PUNCT
ejpam-5793	186	12	2025	2025	NUM
ejpam-5793	186	13	)	)	PUNCT
ejpam-5793	186	14	,	,	PUNCT
ejpam-5793	186	15	5793	5793	NUM
ejpam-5793	186	16	9	9	NUM
ejpam-5793	186	17	of	of	ADP
ejpam-5793	186	18	27	27	NUM
ejpam-5793	186	19	=	=	SYM
ejpam-5793	186	20	1	1	NUM
ejpam-5793	186	21	γ(1−	γ(1−	PROPN
ejpam-5793	186	22	η	η	PROPN
ejpam-5793	186	23	)	)	PUNCT
ejpam-5793	186	24	n∑	n∑	PROPN
ejpam-5793	186	25	k=0	k=0	PROPN
ejpam-5793	186	26	∫	∫	PROPN
ejpam-5793	186	27	(	(	PUNCT
ejpam-5793	186	28	k+1)×∆t	k+1)×∆t	PROPN
ejpam-5793	186	29	k×∆t	k×∆t	PROPN
ejpam-5793	186	30	∂p(a	∂p(a	PROPN
ejpam-5793	186	31	,	,	PUNCT
ejpam-5793	186	32	ζ	ζ	NOUN
ejpam-5793	186	33	)	)	PUNCT
ejpam-5793	186	34	∂ζ	∂ζ	PROPN
ejpam-5793	186	35	(	(	PUNCT
ejpam-5793	186	36	t	t	NOUN
ejpam-5793	186	37	n+1	n+1	NUM
ejpam-5793	186	38	−	−	PROPN
ejpam-5793	186	39	ζ)−ηdζ	ζ)−ηdζ	PROPN
ejpam-5793	186	40	,	,	PUNCT
ejpam-5793	186	41	=	=	SYM
ejpam-5793	186	42	1	1	NUM
ejpam-5793	186	43	γ(1−	γ(1−	PROPN
ejpam-5793	186	44	η	η	PROPN
ejpam-5793	186	45	)	)	PUNCT
ejpam-5793	186	46	n∑	n∑	X
ejpam-5793	186	47	k=0	k=0	PROPN
ejpam-5793	187	1	[	[	PUNCT
ejpam-5793	187	2	pk+1a−pka	pk+1a−pka	X
ejpam-5793	187	3	∆t	∆t	PROPN
ejpam-5793	187	4	+	+	NOUN
ejpam-5793	187	5	o(∆t	o(∆t	NOUN
ejpam-5793	187	6	)	)	PUNCT
ejpam-5793	187	7	]	]	PUNCT
ejpam-5793	188	1	∫	∫	PROPN
ejpam-5793	188	2	(	(	PUNCT
ejpam-5793	188	3	k+1)×∆t	k+1)×∆t	PROPN
ejpam-5793	188	4	k×∆t	k×∆t	NOUN
ejpam-5793	188	5	(	(	PUNCT
ejpam-5793	188	6	(	(	PUNCT
ejpam-5793	188	7	k	k	X
ejpam-5793	188	8	+	+	PROPN
ejpam-5793	188	9	1)∆t	1)∆t	NUM
ejpam-5793	188	10	−	−	PROPN
ejpam-5793	188	11	ζ)−ηdζ	ζ)−ηdζ	PROPN
ejpam-5793	188	12	.	.	PUNCT
ejpam-5793	189	1	following	follow	VERB
ejpam-5793	189	2	integration	integration	NOUN
ejpam-5793	189	3	,	,	PUNCT
ejpam-5793	189	4	it	it	PRON
ejpam-5793	189	5	gives	give	VERB
ejpam-5793	189	6	:	:	PUNCT
ejpam-5793	189	7	∂ηp(a	∂ηp(a	PROPN
ejpam-5793	189	8	,	,	PUNCT
ejpam-5793	189	9	t	t	PROPN
ejpam-5793	189	10	n+1	n+1	PROPN
ejpam-5793	189	11	)	)	PUNCT
ejpam-5793	189	12	∂t	∂t	PROPN
ejpam-5793	189	13	η	η	PROPN
ejpam-5793	189	14	=	=	PROPN
ejpam-5793	190	1			PROPN
ejpam-5793	190	2	aη	aη	ADP
ejpam-5793	190	3	∑n	∑n	PROPN
ejpam-5793	190	4	k=0kη(k	k=0kη(k	PROPN
ejpam-5793	190	5	)	)	PUNCT
ejpam-5793	190	6	[	[	PUNCT
ejpam-5793	190	7	pn−k+1a−pn−ka	pn−k+1a−pn−ka	NOUN
ejpam-5793	190	8	]	]	PUNCT
ejpam-5793	191	1	+	+	PUNCT
ejpam-5793	191	2	o(∆t	o(∆t	NOUN
ejpam-5793	191	3	2−η	2−η	NUM
ejpam-5793	191	4	)	)	PUNCT
ejpam-5793	191	5	,	,	PUNCT
ejpam-5793	191	6	0	0	PUNCT
ejpam-5793	191	7	<	<	X
ejpam-5793	191	8	η	η	X
ejpam-5793	191	9	<	<	X
ejpam-5793	191	10	1	1	NUM
ejpam-5793	191	11	,	,	PUNCT
ejpam-5793	191	12	pn+1a−pna	pn+1a−pna	PROPN
ejpam-5793	191	13	∆t	∆t	PROPN
ejpam-5793	191	14	+	+	NOUN
ejpam-5793	191	15	o(∆t	o(∆t	NOUN
ejpam-5793	191	16	)	)	PUNCT
ejpam-5793	191	17	,	,	PUNCT
ejpam-5793	191	18	η	η	PROPN
ejpam-5793	191	19	=	=	PROPN
ejpam-5793	191	20	1	1	NUM
ejpam-5793	191	21	,	,	PUNCT
ejpam-5793	191	22	(	(	PUNCT
ejpam-5793	191	23	16	16	NUM
ejpam-5793	191	24	)	)	PUNCT
ejpam-5793	191	25	where	where	SCONJ
ejpam-5793	191	26	aη	aη	PROPN
ejpam-5793	191	27	=	=	PUNCT
ejpam-5793	191	28	∆t	∆t	PROPN
ejpam-5793	191	29	−η	−η	NOUN
ejpam-5793	191	30	γ(2−η	γ(2−η	VERB
ejpam-5793	191	31	)	)	PUNCT
ejpam-5793	191	32	and	and	CCONJ
ejpam-5793	191	33	kη(k	kη(k	PUNCT
ejpam-5793	191	34	)	)	PUNCT
ejpam-5793	191	35	=	=	SYM
ejpam-5793	191	36	(	(	PUNCT
ejpam-5793	191	37	k	k	NOUN
ejpam-5793	191	38	+	+	PUNCT
ejpam-5793	191	39	1)1−η	1)1−η	NUM
ejpam-5793	191	40	−	−	NOUN
ejpam-5793	191	41	(	(	PUNCT
ejpam-5793	191	42	k)1−η	k)1−η	PROPN
ejpam-5793	191	43	.	.	PUNCT
ejpam-5793	192	1	thus	thus	ADV
ejpam-5793	192	2	,	,	PUNCT
ejpam-5793	192	3	by	by	ADP
ejpam-5793	192	4	omitting	omit	VERB
ejpam-5793	192	5	the	the	DET
ejpam-5793	192	6	error	error	NOUN
ejpam-5793	192	7	term	term	NOUN
ejpam-5793	192	8	,	,	PUNCT
ejpam-5793	192	9	we	we	PRON
ejpam-5793	192	10	can	can	AUX
ejpam-5793	192	11	write	write	VERB
ejpam-5793	192	12	:	:	PUNCT
ejpam-5793	192	13	∂ηp(a	∂ηp(a	PROPN
ejpam-5793	192	14	,	,	PUNCT
ejpam-5793	192	15	t	t	PROPN
ejpam-5793	192	16	n+1	n+1	PROPN
ejpam-5793	192	17	)	)	PUNCT
ejpam-5793	192	18	∂t	∂t	PROPN
ejpam-5793	192	19	η	η	PROPN
ejpam-5793	192	20	=	=	PROPN
ejpam-5793	192	21	aη	aη	PROPN
ejpam-5793	192	22	[	[	PUNCT
ejpam-5793	192	23	pn+1a−pna	pn+1a−pna	X
ejpam-5793	192	24	]	]	PUNCT
ejpam-5793	193	1	+	+	ADP
ejpam-5793	193	2	aη	aη	PROPN
ejpam-5793	193	3	n∑	n∑	INTJ
ejpam-5793	193	4	k=1	k=1	NOUN
ejpam-5793	193	5	kη(k	kη(k	PUNCT
ejpam-5793	193	6	)	)	PUNCT
ejpam-5793	193	7	[	[	PUNCT
ejpam-5793	193	8	pn−k+1a−pn−ka	pn−k+1a−pn−ka	NOUN
ejpam-5793	193	9	]	]	PUNCT
ejpam-5793	193	10	,	,	PUNCT
ejpam-5793	193	11	(	(	PUNCT
ejpam-5793	193	12	17	17	NUM
ejpam-5793	193	13	)	)	PUNCT
ejpam-5793	193	14	with	with	ADP
ejpam-5793	193	15	kη(k	kη(k	NOUN
ejpam-5793	193	16	)	)	PUNCT
ejpam-5793	193	17	=	=	SYM
ejpam-5793	193	18	1	1	NUM
ejpam-5793	193	19	,	,	PUNCT
ejpam-5793	193	20	k	k	NOUN
ejpam-5793	193	21	=	=	PUNCT
ejpam-5793	193	22	0	0	X
ejpam-5793	193	23	.	.	PUNCT
ejpam-5793	194	1	let	let	VERB
ejpam-5793	194	2	’s	’s	NOUN
ejpam-5793	194	3	rewrite	rewrite	VERB
ejpam-5793	194	4	eq	eq	NOUN
ejpam-5793	194	5	.	.	PUNCT
ejpam-5793	195	1	(	(	PUNCT
ejpam-5793	195	2	14	14	NUM
ejpam-5793	195	3	)	)	PUNCT
ejpam-5793	195	4	prior	prior	ADV
ejpam-5793	195	5	to	to	ADP
ejpam-5793	195	6	implementing	implement	VERB
ejpam-5793	195	7	the	the	DET
ejpam-5793	195	8	θ	θ	NOUN
ejpam-5793	195	9	-	-	PUNCT
ejpam-5793	195	10	weighted	weight	VERB
ejpam-5793	195	11	scheme	scheme	NOUN
ejpam-5793	195	12	:	:	PUNCT
ejpam-5793	196	1	∂ηp(a	∂ηp(a	PROPN
ejpam-5793	196	2	,	,	PUNCT
ejpam-5793	196	3	t	t	NOUN
ejpam-5793	196	4	)	)	PUNCT
ejpam-5793	196	5	∂t	∂t	PROPN
ejpam-5793	196	6	η	η	PROPN
ejpam-5793	196	7	=	=	PROPN
ejpam-5793	196	8	lp(a	lp(a	PROPN
ejpam-5793	196	9	,	,	PUNCT
ejpam-5793	196	10	t	t	PROPN
ejpam-5793	196	11	)	)	PUNCT
ejpam-5793	196	12	,	,	PUNCT
ejpam-5793	196	13	a	a	DET
ejpam-5793	196	14	∈	∈	PROPN
ejpam-5793	196	15	ω	ω	X
ejpam-5793	196	16	⊂	⊂	PROPN
ejpam-5793	196	17	r	r	X
ejpam-5793	196	18	,	,	PUNCT
ejpam-5793	196	19	0	0	NUM
ejpam-5793	196	20	<	<	X
ejpam-5793	196	21	η	η	PROPN
ejpam-5793	196	22	≤	≤	PROPN
ejpam-5793	196	23	1	1	NUM
ejpam-5793	196	24	,	,	PUNCT
ejpam-5793	196	25	t	t	X
ejpam-5793	196	26	>	>	X
ejpam-5793	196	27	0	0	NUM
ejpam-5793	196	28	,	,	PUNCT
ejpam-5793	196	29	(	(	PUNCT
ejpam-5793	196	30	18	18	NUM
ejpam-5793	196	31	)	)	PUNCT
ejpam-5793	196	32	with	with	ADP
ejpam-5793	196	33	the	the	DET
ejpam-5793	196	34	conditions	condition	NOUN
ejpam-5793	196	35	p(a	p(a	PROPN
ejpam-5793	196	36	,	,	PUNCT
ejpam-5793	196	37	0	0	NUM
ejpam-5793	196	38	)	)	PUNCT
ejpam-5793	196	39	=	=	SYM
ejpam-5793	196	40	p0a	p0a	PROPN
ejpam-5793	196	41	,	,	PUNCT
ejpam-5793	196	42	p(a	p(a	PROPN
ejpam-5793	196	43	,	,	PUNCT
ejpam-5793	196	44	t	t	PROPN
ejpam-5793	196	45	)	)	PUNCT
ejpam-5793	196	46	=	=	SYM
ejpam-5793	196	47	f1(a	f1(a	PROPN
ejpam-5793	196	48	,	,	PUNCT
ejpam-5793	196	49	t	t	PROPN
ejpam-5793	196	50	)	)	PUNCT
ejpam-5793	196	51	,	,	PUNCT
ejpam-5793	196	52	a	a	DET
ejpam-5793	196	53	∈	∈	PROPN
ejpam-5793	196	54	∂ω	∂ω	PROPN
ejpam-5793	196	55	,	,	PUNCT
ejpam-5793	196	56	(	(	PUNCT
ejpam-5793	196	57	19	19	NUM
ejpam-5793	196	58	)	)	PUNCT
ejpam-5793	196	59	where	where	SCONJ
ejpam-5793	196	60	l	l	NOUN
ejpam-5793	197	1	=	=	NOUN
ejpam-5793	198	1	1	1	NUM
ejpam-5793	198	2	2	2	NUM
ejpam-5793	198	3	ς	ς	PROPN
ejpam-5793	198	4	2a2	2a2	NUM
ejpam-5793	198	5	∂2p	∂2p	NOUN
ejpam-5793	198	6	∂a2	∂a2	PROPN
ejpam-5793	199	1	+	+	CCONJ
ejpam-5793	200	1	ϵa∂p	ϵa∂p	PROPN
ejpam-5793	200	2	∂a	∂a	NUM
ejpam-5793	200	3	−	−	NOUN
ejpam-5793	201	1	ϵp	ϵp	ADP
ejpam-5793	201	2	.	.	PUNCT
ejpam-5793	202	1	we	we	PRON
ejpam-5793	202	2	now	now	ADV
ejpam-5793	202	3	apply	apply	VERB
ejpam-5793	202	4	the	the	DET
ejpam-5793	202	5	θ	θ	NOUN
ejpam-5793	202	6	-	-	PUNCT
ejpam-5793	202	7	weighted	weight	VERB
ejpam-5793	202	8	rule	rule	NOUN
ejpam-5793	202	9	,	,	PUNCT
ejpam-5793	202	10	which	which	PRON
ejpam-5793	202	11	converts	convert	VERB
ejpam-5793	202	12	eq	eq	ADJ
ejpam-5793	202	13	.	.	PUNCT
ejpam-5793	203	1	(	(	PUNCT
ejpam-5793	203	2	18	18	NUM
ejpam-5793	203	3	)	)	PUNCT
ejpam-5793	203	4	to	to	PART
ejpam-5793	203	5	:	:	PUNCT
ejpam-5793	203	6	∂ηp(a	∂ηp(a	PROPN
ejpam-5793	203	7	,	,	PUNCT
ejpam-5793	203	8	t	t	NOUN
ejpam-5793	203	9	)	)	PUNCT
ejpam-5793	204	1	∂t	∂t	PROPN
ejpam-5793	204	2	η	η	PROPN
ejpam-5793	204	3	=	=	PROPN
ejpam-5793	204	4	θlpn+1(a	θlpn+1(a	PROPN
ejpam-5793	204	5	,	,	PUNCT
ejpam-5793	204	6	t	t	PROPN
ejpam-5793	204	7	)	)	PUNCT
ejpam-5793	205	1	+	+	CCONJ
ejpam-5793	205	2	(	(	PUNCT
ejpam-5793	205	3	1−	1−	NUM
ejpam-5793	205	4	θ)lpn(a	θ)lpn(a	NUM
ejpam-5793	205	5	,	,	PUNCT
ejpam-5793	205	6	t	t	NOUN
ejpam-5793	205	7	)	)	PUNCT
ejpam-5793	205	8	.	.	PUNCT
ejpam-5793	206	1	(	(	PUNCT
ejpam-5793	206	2	20	20	X
ejpam-5793	206	3	)	)	PUNCT
ejpam-5793	206	4	using	use	VERB
ejpam-5793	206	5	eq	eq	X
ejpam-5793	206	6	.	.	PUNCT
ejpam-5793	207	1	(	(	PUNCT
ejpam-5793	207	2	16	16	NUM
ejpam-5793	207	3	)	)	PUNCT
ejpam-5793	207	4	,	,	PUNCT
ejpam-5793	207	5	we	we	PRON
ejpam-5793	207	6	get	get	VERB
ejpam-5793	207	7	:	:	PUNCT
ejpam-5793	207	8	aηpn+1(a)−	aηpn+1(a)−	PROPN
ejpam-5793	207	9	θlpn+1(a	θlpn+1(a	PROPN
ejpam-5793	207	10	)	)	PUNCT
ejpam-5793	207	11	=	=	PUNCT
ejpam-5793	208	1	aηpn(a	aηpn(a	ADP
ejpam-5793	208	2	)	)	PUNCT
ejpam-5793	208	3	+	+	CCONJ
ejpam-5793	208	4	(	(	PUNCT
ejpam-5793	208	5	1−	1−	NUM
ejpam-5793	208	6	θ)lpn(a)−qn	θ)lpn(a)−qn	PROPN
ejpam-5793	208	7	η	η	PROPN
ejpam-5793	208	8	(	(	PUNCT
ejpam-5793	208	9	a	a	NOUN
ejpam-5793	208	10	)	)	PUNCT
ejpam-5793	208	11	,	,	PUNCT
ejpam-5793	208	12	(	(	PUNCT
ejpam-5793	208	13	21	21	NUM
ejpam-5793	208	14	)	)	PUNCT
ejpam-5793	208	15	where	where	SCONJ
ejpam-5793	208	16	qn	qn	PROPN
ejpam-5793	208	17	η	η	PROPN
ejpam-5793	208	18	(	(	PUNCT
ejpam-5793	208	19	a	a	PROPN
ejpam-5793	208	20	)	)	PUNCT
ejpam-5793	208	21	=	=	SYM
ejpam-5793	209	1	aη	aη	PROPN
ejpam-5793	209	2	n∑	n∑	INTJ
ejpam-5793	209	3	k=1	k=1	PROPN
ejpam-5793	209	4	kη(k	kη(k	PUNCT
ejpam-5793	209	5	)	)	PUNCT
ejpam-5793	210	1	[	[	PUNCT
ejpam-5793	210	2	pn−k+1(a)−	pn−k+1(a)−	NOUN
ejpam-5793	210	3	pn−k(a	pn−k(a	PROPN
ejpam-5793	210	4	)	)	PUNCT
ejpam-5793	210	5	]	]	PUNCT
ejpam-5793	210	6	.	.	PUNCT
ejpam-5793	211	1	imtiaz	imtiaz	PROPN
ejpam-5793	211	2	ahmad	ahmad	PROPN
ejpam-5793	211	3	et	et	PROPN
ejpam-5793	211	4	al	al	PROPN
ejpam-5793	211	5	.	.	PUNCT
ejpam-5793	211	6	/	/	SYM
ejpam-5793	211	7	eur	eur	PROPN
ejpam-5793	211	8	.	.	PUNCT
ejpam-5793	212	1	j.	j.	PROPN
ejpam-5793	212	2	pure	pure	PROPN
ejpam-5793	212	3	appl	appl	PROPN
ejpam-5793	212	4	.	.	PROPN
ejpam-5793	212	5	math	math	PROPN
ejpam-5793	212	6	,	,	PUNCT
ejpam-5793	212	7	18	18	NUM
ejpam-5793	212	8	(	(	PUNCT
ejpam-5793	212	9	1	1	NUM
ejpam-5793	212	10	)	)	PUNCT
ejpam-5793	212	11	(	(	PUNCT
ejpam-5793	212	12	2025	2025	NUM
ejpam-5793	212	13	)	)	PUNCT
ejpam-5793	212	14	,	,	PUNCT
ejpam-5793	212	15	5793	5793	NUM
ejpam-5793	212	16	10	10	NUM
ejpam-5793	212	17	of	of	ADP
ejpam-5793	212	18	27	27	NUM
ejpam-5793	212	19	thus	thus	ADV
ejpam-5793	212	20	far	far	ADV
ejpam-5793	212	21	,	,	PUNCT
ejpam-5793	212	22	eq	eq	NOUN
ejpam-5793	212	23	.	.	PUNCT
ejpam-5793	213	1	(	(	PUNCT
ejpam-5793	213	2	21	21	NUM
ejpam-5793	213	3	)	)	PUNCT
ejpam-5793	213	4	serves	serve	VERB
ejpam-5793	213	5	as	as	ADP
ejpam-5793	213	6	the	the	DET
ejpam-5793	213	7	time	time	NOUN
ejpam-5793	213	8	-	-	PUNCT
ejpam-5793	213	9	discrete	discrete	ADJ
ejpam-5793	213	10	representation	representation	NOUN
ejpam-5793	213	11	of	of	ADP
ejpam-5793	213	12	eq	eq	PROPN
ejpam-5793	213	13	.	.	PUNCT
ejpam-5793	214	1	(	(	PUNCT
ejpam-5793	214	2	18	18	NUM
ejpam-5793	214	3	)	)	PUNCT
ejpam-5793	214	4	.	.	PUNCT
ejpam-5793	215	1	furthermore	furthermore	ADV
ejpam-5793	215	2	,	,	PUNCT
ejpam-5793	215	3	the	the	DET
ejpam-5793	215	4	strang	strang	PROPN
ejpam-5793	215	5	splitting	splitting	NOUN
ejpam-5793	215	6	algorithm	algorithm	NOUN
ejpam-5793	215	7	,	,	PUNCT
ejpam-5793	215	8	a	a	DET
ejpam-5793	215	9	well	well	ADV
ejpam-5793	215	10	-	-	PUNCT
ejpam-5793	215	11	established	establish	VERB
ejpam-5793	215	12	technique	technique	NOUN
ejpam-5793	215	13	for	for	ADP
ejpam-5793	215	14	decomposition	decomposition	NOUN
ejpam-5793	215	15	,	,	PUNCT
ejpam-5793	215	16	is	be	AUX
ejpam-5793	215	17	applied	apply	VERB
ejpam-5793	215	18	in	in	ADP
ejpam-5793	215	19	the	the	DET
ejpam-5793	215	20	time	time	NOUN
ejpam-5793	215	21	dimension	dimension	NOUN
ejpam-5793	215	22	and	and	CCONJ
ejpam-5793	215	23	is	be	AUX
ejpam-5793	215	24	formulated	formulate	VERB
ejpam-5793	215	25	as	as	SCONJ
ejpam-5793	215	26	follows	follow	VERB
ejpam-5793	215	27	[	[	X
ejpam-5793	215	28	44	44	NUM
ejpam-5793	215	29	,	,	PUNCT
ejpam-5793	215	30	47	47	NUM
ejpam-5793	215	31	]	]	PUNCT
ejpam-5793	215	32	:	:	PUNCT
ejpam-5793	216	1	∂p1	∂p1	PROPN
ejpam-5793	216	2	∂t	∂t	PROPN
ejpam-5793	216	3	=	=	PUNCT
ejpam-5793	216	4	l1p1(t	l1p1(t	PROPN
ejpam-5793	216	5	)	)	PUNCT
ejpam-5793	216	6	with	with	ADP
ejpam-5793	216	7	t	t	PROPN
ejpam-5793	216	8	∈	∈	PROPN
ejpam-5793	217	1	[	[	X
ejpam-5793	217	2	t	t	NOUN
ejpam-5793	217	3	n	n	CCONJ
ejpam-5793	217	4	,	,	PUNCT
ejpam-5793	217	5	t	t	PROPN
ejpam-5793	217	6	n+1/2	n+1/2	PROPN
ejpam-5793	217	7	]	]	PUNCT
ejpam-5793	217	8	and	and	CCONJ
ejpam-5793	217	9	p1(t	p1(t	X
ejpam-5793	217	10	n	n	CCONJ
ejpam-5793	217	11	)	)	PUNCT
ejpam-5793	217	12	=	=	SYM
ejpam-5793	217	13	pn	pn	PROPN
ejpam-5793	217	14	sp	sp	PROPN
ejpam-5793	217	15	,	,	PUNCT
ejpam-5793	217	16	(	(	PUNCT
ejpam-5793	217	17	22	22	NUM
ejpam-5793	217	18	)	)	PUNCT
ejpam-5793	217	19	∂p2	∂p2	PROPN
ejpam-5793	218	1	∂t	∂t	PROPN
ejpam-5793	218	2	=	=	PUNCT
ejpam-5793	218	3	l2p2(t	l2p2(t	PROPN
ejpam-5793	218	4	)	)	PUNCT
ejpam-5793	218	5	with	with	ADP
ejpam-5793	218	6	t	t	PROPN
ejpam-5793	218	7	∈	∈	PROPN
ejpam-5793	219	1	[	[	X
ejpam-5793	219	2	t	t	NOUN
ejpam-5793	219	3	n	n	CCONJ
ejpam-5793	219	4	,	,	PUNCT
ejpam-5793	219	5	t	t	PROPN
ejpam-5793	219	6	n+1	n+1	PROPN
ejpam-5793	219	7	]	]	PUNCT
ejpam-5793	219	8	and	and	CCONJ
ejpam-5793	219	9	p2(t	p2(t	PROPN
ejpam-5793	219	10	n	n	CCONJ
ejpam-5793	219	11	)	)	PUNCT
ejpam-5793	219	12	=	=	PRON
ejpam-5793	219	13	p1(t	p1(t	PROPN
ejpam-5793	219	14	n+1/2	n+1/2	PROPN
ejpam-5793	219	15	)	)	PUNCT
ejpam-5793	219	16	,	,	PUNCT
ejpam-5793	219	17	(	(	PUNCT
ejpam-5793	220	1	23	23	X
ejpam-5793	220	2	)	)	PUNCT
ejpam-5793	220	3	∂p3	∂p3	NOUN
ejpam-5793	220	4	∂t	∂t	NOUN
ejpam-5793	220	5	=	=	PUNCT
ejpam-5793	220	6	l1p3(t	l1p3(t	ADJ
ejpam-5793	220	7	)	)	PUNCT
ejpam-5793	220	8	with	with	ADP
ejpam-5793	220	9	t	t	PROPN
ejpam-5793	220	10	∈	∈	PROPN
ejpam-5793	221	1	[	[	X
ejpam-5793	221	2	t	t	PROPN
ejpam-5793	221	3	n+1/2	n+1/2	PROPN
ejpam-5793	221	4	,	,	PUNCT
ejpam-5793	221	5	t	t	PROPN
ejpam-5793	221	6	n+1	n+1	PROPN
ejpam-5793	221	7	]	]	PUNCT
ejpam-5793	221	8	and	and	CCONJ
ejpam-5793	221	9	p3(t	p3(t	PROPN
ejpam-5793	221	10	n+1/2	n+1/2	PROPN
ejpam-5793	221	11	)	)	PUNCT
ejpam-5793	221	12	=	=	PUNCT
ejpam-5793	221	13	p2(t	p2(t	PROPN
ejpam-5793	221	14	n+1	n+1	NOUN
ejpam-5793	221	15	)	)	PUNCT
ejpam-5793	221	16	,	,	PUNCT
ejpam-5793	221	17	(	(	PUNCT
ejpam-5793	221	18	24	24	NUM
ejpam-5793	221	19	)	)	PUNCT
ejpam-5793	221	20	where	where	SCONJ
ejpam-5793	221	21	l1p(t	l1p(t	NOUN
ejpam-5793	221	22	)	)	PUNCT
ejpam-5793	221	23	=	=	SYM
ejpam-5793	221	24	1	1	NUM
ejpam-5793	221	25	2	2	NUM
ejpam-5793	221	26	ς	ς	PROPN
ejpam-5793	221	27	2a2	2a2	NUM
ejpam-5793	221	28	∂2p	∂2p	NOUN
ejpam-5793	221	29	∂a2	∂a2	PROPN
ejpam-5793	221	30	,	,	PUNCT
ejpam-5793	221	31	l2p(t	l2p(t	PROPN
ejpam-5793	221	32	)	)	PUNCT
ejpam-5793	222	1	=	=	PUNCT
ejpam-5793	223	1	ra∂p	ra∂p	PROPN
ejpam-5793	223	2	∂a	∂a	NOUN
ejpam-5793	223	3	−	−	PROPN
ejpam-5793	223	4	rp	rp	NOUN
ejpam-5793	223	5	,	,	PUNCT
ejpam-5793	223	6	and	and	CCONJ
ejpam-5793	223	7	pn	pn	PROPN
ejpam-5793	223	8	sp	sp	NOUN
ejpam-5793	223	9	=	=	NOUN
ejpam-5793	223	10	p0	p0	NOUN
ejpam-5793	223	11	is	be	AUX
ejpam-5793	223	12	the	the	DET
ejpam-5793	223	13	initial	initial	ADJ
ejpam-5793	223	14	solution	solution	NOUN
ejpam-5793	223	15	defined	define	VERB
ejpam-5793	223	16	for	for	ADP
ejpam-5793	223	17	the	the	DET
ejpam-5793	223	18	eq	eq	NOUN
ejpam-5793	223	19	.	.	PUNCT
ejpam-5793	224	1	(	(	PUNCT
ejpam-5793	224	2	18	18	NUM
ejpam-5793	224	3	)	)	PUNCT
ejpam-5793	224	4	.	.	PUNCT
ejpam-5793	225	1	4.2	4.2	NUM
ejpam-5793	225	2	.	.	PUNCT
ejpam-5793	226	1	space	space	NOUN
ejpam-5793	226	2	discretization	discretization	NOUN
ejpam-5793	226	3	an	an	DET
ejpam-5793	226	4	alternative	alternative	ADJ
ejpam-5793	226	5	way	way	NOUN
ejpam-5793	226	6	to	to	PART
ejpam-5793	226	7	express	express	VERB
ejpam-5793	226	8	the	the	DET
ejpam-5793	226	9	function	function	NOUN
ejpam-5793	226	10	p(a	p(a	NOUN
ejpam-5793	226	11	)	)	PUNCT
ejpam-5793	226	12	is	be	AUX
ejpam-5793	226	13	through	through	ADP
ejpam-5793	226	14	a	a	DET
ejpam-5793	226	15	truncated	truncated	ADJ
ejpam-5793	226	16	series	series	NOUN
ejpam-5793	226	17	expansion	expansion	NOUN
ejpam-5793	226	18	involving	involve	VERB
ejpam-5793	226	19	lucas	lucas	NOUN
ejpam-5793	226	20	polynomials	polynomial	NOUN
ejpam-5793	226	21	.	.	PUNCT
ejpam-5793	227	1	p(a	p(a	NOUN
ejpam-5793	227	2	)	)	PUNCT
ejpam-5793	227	3	≃	≃	NOUN
ejpam-5793	227	4	m∑	m∑	ADP
ejpam-5793	227	5	k=0	k=0	PROPN
ejpam-5793	227	6	λklk(a	λklk(a	PROPN
ejpam-5793	227	7	)	)	PUNCT
ejpam-5793	227	8	.	.	PUNCT
ejpam-5793	228	1	(	(	PUNCT
ejpam-5793	228	2	25	25	NUM
ejpam-5793	228	3	)	)	PUNCT
ejpam-5793	228	4	equation	equation	NOUN
ejpam-5793	228	5	(	(	PUNCT
ejpam-5793	228	6	25	25	NUM
ejpam-5793	228	7	)	)	PUNCT
ejpam-5793	228	8	can	can	AUX
ejpam-5793	228	9	be	be	AUX
ejpam-5793	228	10	write	write	ADJ
ejpam-5793	228	11	as	as	ADP
ejpam-5793	228	12	:	:	PUNCT
ejpam-5793	228	13	p(a	p(a	NOUN
ejpam-5793	228	14	)	)	PUNCT
ejpam-5793	228	15	≃	≃	NOUN
ejpam-5793	228	16	lt(a)λ	lt(a)λ	ADP
ejpam-5793	228	17	,	,	PUNCT
ejpam-5793	228	18	(	(	PUNCT
ejpam-5793	228	19	26	26	NUM
ejpam-5793	228	20	)	)	PUNCT
ejpam-5793	228	21	with	with	ADP
ejpam-5793	228	22	λ	λ	X
ejpam-5793	228	23	=	=	PUNCT
ejpam-5793	229	1	[	[	X
ejpam-5793	229	2	λ0,λ1,λ2	λ0,λ1,λ2	X
ejpam-5793	229	3	,	,	PUNCT
ejpam-5793	229	4	·	·	PUNCT
ejpam-5793	229	5	·	·	PUNCT
ejpam-5793	229	6	·	·	PUNCT
ejpam-5793	229	7	,	,	PUNCT
ejpam-5793	229	8	λm	λm	X
ejpam-5793	229	9	]	]	X
ejpam-5793	229	10	t	t	NOUN
ejpam-5793	229	11	and	and	CCONJ
ejpam-5793	229	12	lt(a	lt(a	PROPN
ejpam-5793	229	13	)	)	PUNCT
ejpam-5793	229	14	=	=	PUNCT
ejpam-5793	230	1	[	[	X
ejpam-5793	230	2	l0(a	l0(a	X
ejpam-5793	230	3	)	)	PUNCT
ejpam-5793	230	4	,	,	PUNCT
ejpam-5793	230	5	l1(a	l1(a	NUM
ejpam-5793	230	6	)	)	PUNCT
ejpam-5793	230	7	,	,	PUNCT
ejpam-5793	230	8	l2(a	l2(a	NOUN
ejpam-5793	230	9	)	)	PUNCT
ejpam-5793	230	10	,	,	PUNCT
ejpam-5793	230	11	·	·	PUNCT
ejpam-5793	230	12	·	·	PUNCT
ejpam-5793	231	1	·	·	PUNCT
ejpam-5793	231	2	,	,	PUNCT
ejpam-5793	231	3	lm	lm	INTJ
ejpam-5793	231	4	(	(	PUNCT
ejpam-5793	231	5	a	a	NOUN
ejpam-5793	231	6	)	)	PUNCT
ejpam-5793	231	7	]	]	PUNCT
ejpam-5793	231	8	.	.	PUNCT
ejpam-5793	232	1	partial	partial	ADJ
ejpam-5793	232	2	derivatives	derivative	NOUN
ejpam-5793	232	3	of	of	ADP
ejpam-5793	232	4	p(a	p(a	PROPN
ejpam-5793	232	5	)	)	PUNCT
ejpam-5793	232	6	can	can	AUX
ejpam-5793	232	7	be	be	AUX
ejpam-5793	232	8	calculates	calculate	NOUN
ejpam-5793	232	9	as	as	ADP
ejpam-5793	232	10	:	:	PUNCT
ejpam-5793	232	11	∂p(a	∂p(a	X
ejpam-5793	232	12	)	)	PUNCT
ejpam-5793	232	13	∂a	∂a	NOUN
ejpam-5793	232	14	≃	≃	NOUN
ejpam-5793	232	15	m∑	m∑	ADP
ejpam-5793	232	16	k=0	k=0	PROPN
ejpam-5793	232	17	λk	λk	ADP
ejpam-5793	232	18	dlk(a	dlk(a	PROPN
ejpam-5793	232	19	)	)	PUNCT
ejpam-5793	232	20	da	da	NOUN
ejpam-5793	232	21	=	=	PUNCT
ejpam-5793	232	22	lt	lt	PRON
ejpam-5793	232	23	a(a)λ	a(a)λ	PROPN
ejpam-5793	232	24	,	,	PUNCT
ejpam-5793	232	25	and	and	CCONJ
ejpam-5793	232	26	∂2p(a	∂2p(a	NOUN
ejpam-5793	232	27	)	)	PUNCT
ejpam-5793	232	28	∂a2	∂a2	VERB
ejpam-5793	232	29	≃	≃	NOUN
ejpam-5793	232	30	m∑	m∑	AUX
ejpam-5793	232	31	k=0	k=0	PROPN
ejpam-5793	232	32	λk	λk	ADP
ejpam-5793	232	33	d2lk(a	d2lk(a	PROPN
ejpam-5793	232	34	)	)	PUNCT
ejpam-5793	232	35	da2	da2	PROPN
ejpam-5793	232	36	=	=	PUNCT
ejpam-5793	232	37	lt	lt	PROPN
ejpam-5793	232	38	aa(a)λ	aa(a)λ	PROPN
ejpam-5793	232	39	,	,	PUNCT
ejpam-5793	232	40	where	where	SCONJ
ejpam-5793	232	41	lt	lt	PRON
ejpam-5793	232	42	a(a	a(a	PROPN
ejpam-5793	232	43	)	)	PUNCT
ejpam-5793	233	1	=	=	PRON
ejpam-5793	233	2	{	{	PUNCT
ejpam-5793	233	3	∂	∂	NOUN
ejpam-5793	233	4	∂alk(a)}mk=0	∂alk(a)}mk=0	X
ejpam-5793	233	5	=	=	PUNCT
ejpam-5793	233	6	{	{	PUNCT
ejpam-5793	233	7	dlk(a	dlk(a	NOUN
ejpam-5793	233	8	)	)	PUNCT
ejpam-5793	233	9	da	da	ADJ
ejpam-5793	233	10	}	}	PUNCT
ejpam-5793	233	11	mk=0	mk=0	PROPN
ejpam-5793	233	12	and	and	CCONJ
ejpam-5793	233	13	lt	lt	PRON
ejpam-5793	233	14	aa(a	aa(a	ADV
ejpam-5793	233	15	)	)	PUNCT
ejpam-5793	233	16	=	=	PRON
ejpam-5793	233	17	{	{	PUNCT
ejpam-5793	233	18	∂2	∂2	PROPN
ejpam-5793	233	19	∂a2lkm(a)}mk=0	∂a2lkm(a)}mk=0	PROPN
ejpam-5793	233	20	=	=	SYM
ejpam-5793	233	21	{	{	PUNCT
ejpam-5793	233	22	d2lk(a	d2lk(a	PROPN
ejpam-5793	233	23	)	)	PUNCT
ejpam-5793	233	24	da2	da2	NOUN
ejpam-5793	233	25	}	}	PUNCT
ejpam-5793	233	26	mk=0	mk=0	PROPN
ejpam-5793	233	27	.	.	PUNCT
ejpam-5793	234	1	one	one	PRON
ejpam-5793	234	2	can	can	AUX
ejpam-5793	234	3	refined	refined	VERB
ejpam-5793	234	4	further	far	ADV
ejpam-5793	234	5	as	as	ADP
ejpam-5793	234	6	:	:	PUNCT
ejpam-5793	234	7	∂p	∂p	ADJ
ejpam-5793	234	8	∂a	∂a	NOUN
ejpam-5793	234	9	≃	≃	NOUN
ejpam-5793	234	10	(	(	PUNCT
ejpam-5793	234	11	lt	lt	PRON
ejpam-5793	234	12	a(a	a(a	PROPN
ejpam-5793	234	13	)	)	PUNCT
ejpam-5793	234	14	)	)	PUNCT
ejpam-5793	235	1	λ	λ	INTJ
ejpam-5793	235	2	.	.	PUNCT
ejpam-5793	235	3	(	(	PUNCT
ejpam-5793	235	4	27	27	NUM
ejpam-5793	235	5	)	)	PUNCT
ejpam-5793	235	6	∂2p	∂2p	NOUN
ejpam-5793	235	7	∂a2	∂a2	PROPN
ejpam-5793	235	8	≃	≃	PROPN
ejpam-5793	235	9	(	(	PUNCT
ejpam-5793	235	10	lt	lt	PRON
ejpam-5793	235	11	aa(a	aa(a	ADJ
ejpam-5793	235	12	)	)	PUNCT
ejpam-5793	235	13	)	)	PUNCT
ejpam-5793	236	1	λ	λ	INTJ
ejpam-5793	236	2	.	.	PUNCT
ejpam-5793	237	1	(	(	PUNCT
ejpam-5793	237	2	28	28	NUM
ejpam-5793	237	3	)	)	PUNCT
ejpam-5793	237	4	imtiaz	imtiaz	PROPN
ejpam-5793	237	5	ahmad	ahmad	PROPN
ejpam-5793	237	6	et	et	PROPN
ejpam-5793	237	7	al	al	PROPN
ejpam-5793	237	8	.	.	PUNCT
ejpam-5793	237	9	/	/	SYM
ejpam-5793	237	10	eur	eur	PROPN
ejpam-5793	237	11	.	.	PUNCT
ejpam-5793	238	1	j.	j.	PROPN
ejpam-5793	238	2	pure	pure	PROPN
ejpam-5793	238	3	appl	appl	PROPN
ejpam-5793	238	4	.	.	PROPN
ejpam-5793	238	5	math	math	PROPN
ejpam-5793	238	6	,	,	PUNCT
ejpam-5793	238	7	18	18	NUM
ejpam-5793	238	8	(	(	PUNCT
ejpam-5793	238	9	1	1	NUM
ejpam-5793	238	10	)	)	PUNCT
ejpam-5793	238	11	(	(	PUNCT
ejpam-5793	238	12	2025	2025	NUM
ejpam-5793	238	13	)	)	PUNCT
ejpam-5793	238	14	,	,	PUNCT
ejpam-5793	238	15	5793	5793	NUM
ejpam-5793	238	16	11	11	NUM
ejpam-5793	238	17	of	of	ADP
ejpam-5793	238	18	27	27	NUM
ejpam-5793	238	19	the	the	DET
ejpam-5793	238	20	function	function	NOUN
ejpam-5793	238	21	p(a	p(a	PROPN
ejpam-5793	238	22	,	,	PUNCT
ejpam-5793	238	23	t	t	PROPN
ejpam-5793	238	24	)	)	PUNCT
ejpam-5793	238	25	and	and	CCONJ
ejpam-5793	238	26	its	its	PRON
ejpam-5793	238	27	partial	partial	ADJ
ejpam-5793	238	28	derivatives	derivative	NOUN
ejpam-5793	238	29	can	can	AUX
ejpam-5793	238	30	be	be	AUX
ejpam-5793	238	31	expressed	express	VERB
ejpam-5793	238	32	as	as	SCONJ
ejpam-5793	238	33	follows	follow	VERB
ejpam-5793	238	34	:	:	PUNCT
ejpam-5793	238	35	p(a	p(a	PROPN
ejpam-5793	238	36	,	,	PUNCT
ejpam-5793	238	37	t	t	PROPN
ejpam-5793	238	38	)	)	PUNCT
ejpam-5793	239	1	≈	≈	PROPN
ejpam-5793	239	2	lt(a)λ(t	lt(a)λ(t	PROPN
ejpam-5793	239	3	)	)	PUNCT
ejpam-5793	239	4	,	,	PUNCT
ejpam-5793	239	5	∂p(a	∂p(a	PROPN
ejpam-5793	239	6	,	,	PUNCT
ejpam-5793	239	7	t	t	NOUN
ejpam-5793	239	8	)	)	PUNCT
ejpam-5793	240	1	∂a	∂a	PROPN
ejpam-5793	241	1	≈	≈	PROPN
ejpam-5793	241	2	lt	lt	PROPN
ejpam-5793	241	3	a(a)λ(t	a(a)λ(t	PROPN
ejpam-5793	241	4	)	)	PUNCT
ejpam-5793	241	5	,	,	PUNCT
ejpam-5793	241	6	∂2p(a	∂2p(a	NOUN
ejpam-5793	241	7	,	,	PUNCT
ejpam-5793	241	8	t	t	PROPN
ejpam-5793	241	9	)	)	PUNCT
ejpam-5793	242	1	∂a2	∂a2	PROPN
ejpam-5793	242	2	≈	≈	PROPN
ejpam-5793	242	3	lt	lt	NOUN
ejpam-5793	242	4	aa(a)λ(t	aa(a)λ(t	NOUN
ejpam-5793	242	5	)	)	PUNCT
ejpam-5793	242	6	.	.	PUNCT
ejpam-5793	243	1	(	(	PUNCT
ejpam-5793	243	2	29	29	NUM
ejpam-5793	243	3	)	)	PUNCT
ejpam-5793	243	4	let	let	VERB
ejpam-5793	243	5	λ(t	λ(t	NOUN
ejpam-5793	243	6	)	)	PUNCT
ejpam-5793	243	7	represent	represent	VERB
ejpam-5793	243	8	the	the	DET
ejpam-5793	243	9	vector	vector	NOUN
ejpam-5793	243	10	of	of	ADP
ejpam-5793	243	11	unknown	unknown	ADJ
ejpam-5793	243	12	coefficients	coefficient	NOUN
ejpam-5793	243	13	that	that	PRON
ejpam-5793	243	14	vary	vary	VERB
ejpam-5793	243	15	with	with	ADP
ejpam-5793	243	16	time	time	NOUN
ejpam-5793	243	17	.	.	PUNCT
ejpam-5793	244	1	by	by	ADP
ejpam-5793	244	2	combining	combine	VERB
ejpam-5793	244	3	the	the	DET
ejpam-5793	244	4	results	result	NOUN
ejpam-5793	244	5	from	from	ADP
ejpam-5793	244	6	eq	eq	ADP
ejpam-5793	244	7	.	.	PUNCT
ejpam-5793	245	1	(	(	PUNCT
ejpam-5793	245	2	29	29	NUM
ejpam-5793	245	3	)	)	PUNCT
ejpam-5793	245	4	and	and	CCONJ
ejpam-5793	245	5	eq	eq	NOUN
ejpam-5793	245	6	.	.	PUNCT
ejpam-5793	246	1	(	(	PUNCT
ejpam-5793	246	2	21	21	NUM
ejpam-5793	246	3	)	)	PUNCT
ejpam-5793	246	4	,	,	PUNCT
ejpam-5793	246	5	the	the	DET
ejpam-5793	246	6	following	follow	VERB
ejpam-5793	246	7	expression	expression	NOUN
ejpam-5793	246	8	is	be	AUX
ejpam-5793	246	9	obtained	obtain	VERB
ejpam-5793	246	10	:	:	PUNCT
ejpam-5793	246	11	(	(	PUNCT
ejpam-5793	246	12	aη)l(a)λn+1	aη)l(a)λn+1	INTJ
ejpam-5793	246	13	−	−	PROPN
ejpam-5793	246	14	θ	θ	NOUN
ejpam-5793	246	15	(	(	PUNCT
ejpam-5793	246	16	1	1	NUM
ejpam-5793	246	17	2	2	NUM
ejpam-5793	246	18	ς2a2lt	ς2a2lt	NOUN
ejpam-5793	246	19	aa(a	aa(a	PUNCT
ejpam-5793	246	20	)	)	PUNCT
ejpam-5793	247	1	+	+	CCONJ
ejpam-5793	247	2	ϵalt	ϵalt	VERB
ejpam-5793	247	3	a(a)−	a(a)−	NOUN
ejpam-5793	247	4	ϵlt(a	ϵlt(a	PROPN
ejpam-5793	247	5	)	)	PUNCT
ejpam-5793	247	6	)	)	PUNCT
ejpam-5793	248	1	λn+1	λn+1	ADP
ejpam-5793	248	2	(	(	PUNCT
ejpam-5793	248	3	30	30	NUM
ejpam-5793	248	4	)	)	PUNCT
ejpam-5793	248	5	=	=	SYM
ejpam-5793	249	1	(	(	PUNCT
ejpam-5793	249	2	aη)l(a)λn	aη)l(a)λn	PROPN
ejpam-5793	249	3	+	+	CCONJ
ejpam-5793	249	4	(	(	PUNCT
ejpam-5793	249	5	1−	1−	NUM
ejpam-5793	249	6	θ	θ	NOUN
ejpam-5793	249	7	)	)	PUNCT
ejpam-5793	249	8	(	(	PUNCT
ejpam-5793	249	9	1	1	NUM
ejpam-5793	249	10	2	2	NUM
ejpam-5793	249	11	ς2a2lt	ς2a2lt	NOUN
ejpam-5793	249	12	aa(a	aa(a	PUNCT
ejpam-5793	249	13	)	)	PUNCT
ejpam-5793	250	1	+	+	CCONJ
ejpam-5793	250	2	ϵalt	ϵalt	VERB
ejpam-5793	250	3	a(a)−	a(a)−	NOUN
ejpam-5793	250	4	ϵlt(a	ϵlt(a	PROPN
ejpam-5793	250	5	)	)	PUNCT
ejpam-5793	250	6	)	)	PUNCT
ejpam-5793	251	1	λn	λn	ADP
ejpam-5793	251	2	−qn	−qn	X
ejpam-5793	251	3	η	η	X
ejpam-5793	251	4	(	(	PUNCT
ejpam-5793	251	5	a	a	PROPN
ejpam-5793	251	6	)	)	PUNCT
ejpam-5793	251	7	.	.	PUNCT
ejpam-5793	252	1	the	the	DET
ejpam-5793	252	2	boundary	boundary	ADJ
ejpam-5793	252	3	conditions	condition	NOUN
ejpam-5793	252	4	:	:	PUNCT
ejpam-5793	252	5	bl(a)λn+1	bl(a)λn+1	PROPN
ejpam-5793	252	6	≈	≈	PROPN
ejpam-5793	252	7	f1(a	f1(a	PROPN
ejpam-5793	252	8	,	,	PUNCT
ejpam-5793	252	9	t	t	PROPN
ejpam-5793	252	10	n+1	n+1	PROPN
ejpam-5793	252	11	)	)	PUNCT
ejpam-5793	252	12	=	=	SYM
ejpam-5793	252	13	fn+1	fn+1	NOUN
ejpam-5793	252	14	1	1	NUM
ejpam-5793	252	15	(	(	PUNCT
ejpam-5793	252	16	a	a	NOUN
ejpam-5793	252	17	)	)	PUNCT
ejpam-5793	252	18	,	,	PUNCT
ejpam-5793	252	19	∀a	∀a	NOUN
ejpam-5793	252	20	∈	∈	PROPN
ejpam-5793	252	21	∂ω	∂ω	PROPN
ejpam-5793	252	22	,	,	PUNCT
ejpam-5793	252	23	(	(	PUNCT
ejpam-5793	252	24	31	31	NUM
ejpam-5793	252	25	)	)	PUNCT
ejpam-5793	252	26	where	where	SCONJ
ejpam-5793	252	27	λn	λn	NOUN
ejpam-5793	252	28	=	=	PUNCT
ejpam-5793	252	29	λ(t	λ(t	NOUN
ejpam-5793	252	30	n	n	CCONJ
ejpam-5793	252	31	)	)	PUNCT
ejpam-5793	252	32	.	.	PUNCT
ejpam-5793	253	1	4.3	4.3	NUM
ejpam-5793	253	2	.	.	PUNCT
ejpam-5793	254	1	full	full	ADJ
ejpam-5793	254	2	discretization	discretization	NOUN
ejpam-5793	254	3	we	we	PRON
ejpam-5793	254	4	utilize	utilize	VERB
ejpam-5793	254	5	collocation	collocation	NOUN
ejpam-5793	254	6	on	on	ADP
ejpam-5793	254	7	eqs	eqs	PROPN
ejpam-5793	254	8	.	.	PUNCT
ejpam-5793	255	1	(	(	PUNCT
ejpam-5793	255	2	30	30	NUM
ejpam-5793	255	3	)	)	PUNCT
ejpam-5793	255	4	and	and	CCONJ
ejpam-5793	255	5	(	(	PUNCT
ejpam-5793	255	6	31	31	NUM
ejpam-5793	255	7	)	)	PUNCT
ejpam-5793	255	8	at	at	ADP
ejpam-5793	255	9	the	the	DET
ejpam-5793	255	10	discrete	discrete	ADJ
ejpam-5793	255	11	mesh	mesh	NOUN
ejpam-5793	255	12	points	point	NOUN
ejpam-5793	255	13	ai	ai	AUX
ejpam-5793	255	14	associated	associate	VERB
ejpam-5793	255	15	with	with	ADP
ejpam-5793	255	16	the	the	DET
ejpam-5793	255	17	corresponding	corresponding	ADJ
ejpam-5793	255	18	time	time	NOUN
ejpam-5793	255	19	levels	level	NOUN
ejpam-5793	255	20	to	to	PART
ejpam-5793	255	21	formulate	formulate	VERB
ejpam-5793	255	22	the	the	DET
ejpam-5793	255	23	discrete	discrete	ADJ
ejpam-5793	255	24	representation	representation	NOUN
ejpam-5793	255	25	of	of	ADP
ejpam-5793	255	26	the	the	DET
ejpam-5793	255	27	model	model	NOUN
ejpam-5793	255	28	given	give	VERB
ejpam-5793	255	29	in	in	ADP
ejpam-5793	255	30	eq	eq	ADP
ejpam-5793	255	31	.	.	PUNCT
ejpam-5793	256	1	(	(	PUNCT
ejpam-5793	256	2	18	18	NUM
ejpam-5793	256	3	)	)	PUNCT
ejpam-5793	256	4	.	.	PUNCT
ejpam-5793	257	1	as	as	ADP
ejpam-5793	257	2	a	a	DET
ejpam-5793	257	3	result	result	NOUN
ejpam-5793	257	4	,	,	PUNCT
ejpam-5793	257	5	we	we	PRON
ejpam-5793	257	6	obtain	obtain	VERB
ejpam-5793	257	7	the	the	DET
ejpam-5793	257	8	following	following	NOUN
ejpam-5793	257	9	:	:	PUNCT
ejpam-5793	257	10	(	(	PUNCT
ejpam-5793	257	11	aη)l(ai)λ	aη)l(ai)λ	NOUN
ejpam-5793	257	12	n+1	n+1	PROPN
ejpam-5793	257	13	−	−	PROPN
ejpam-5793	257	14	θ	θ	NOUN
ejpam-5793	257	15	(	(	PUNCT
ejpam-5793	257	16	1	1	NUM
ejpam-5793	257	17	2	2	NUM
ejpam-5793	257	18	ς2a2	ς2a2	NOUN
ejpam-5793	257	19	il	il	PROPN
ejpam-5793	257	20	t	t	PROPN
ejpam-5793	257	21	aa(ai	aa(ai	PROPN
ejpam-5793	257	22	)	)	PUNCT
ejpam-5793	258	1	+	+	CCONJ
ejpam-5793	258	2	ϵalt	ϵalt	PROPN
ejpam-5793	258	3	a(ai)−	a(ai)−	NOUN
ejpam-5793	258	4	ϵlt(ai	ϵlt(ai	NOUN
ejpam-5793	258	5	)	)	PUNCT
ejpam-5793	258	6	)	)	PUNCT
ejpam-5793	259	1	λn+1	λn+1	ADP
ejpam-5793	259	2	=	=	PUNCT
ejpam-5793	259	3	(	(	PUNCT
ejpam-5793	259	4	aη)l(ai)λ	aη)l(ai)λ	NOUN
ejpam-5793	259	5	n	n	NOUN
ejpam-5793	259	6	+	+	CCONJ
ejpam-5793	259	7	(	(	PUNCT
ejpam-5793	259	8	1−	1−	NUM
ejpam-5793	259	9	θ	θ	NOUN
ejpam-5793	259	10	)	)	PUNCT
ejpam-5793	259	11	(	(	PUNCT
ejpam-5793	259	12	1	1	NUM
ejpam-5793	259	13	2	2	NUM
ejpam-5793	259	14	ς2a2	ς2a2	NOUN
ejpam-5793	259	15	il	il	PROPN
ejpam-5793	259	16	t	t	PROPN
ejpam-5793	259	17	aa(ai	aa(ai	PROPN
ejpam-5793	259	18	)	)	PUNCT
ejpam-5793	260	1	+	+	CCONJ
ejpam-5793	260	2	ϵalt	ϵalt	PROPN
ejpam-5793	260	3	a(ai)−	a(ai)−	NOUN
ejpam-5793	260	4	ϵlt(ai	ϵlt(ai	NOUN
ejpam-5793	260	5	)	)	PUNCT
ejpam-5793	260	6	)	)	PUNCT
ejpam-5793	261	1	λn	λn	ADP
ejpam-5793	261	2	−qn	−qn	PROPN
ejpam-5793	261	3	η	η	X
ejpam-5793	261	4	(	(	PUNCT
ejpam-5793	261	5	ai	ai	PROPN
ejpam-5793	261	6	)	)	PUNCT
ejpam-5793	261	7	,	,	PUNCT
ejpam-5793	261	8	and	and	CCONJ
ejpam-5793	261	9	bl(ai)λ	bl(ai)λ	VERB
ejpam-5793	261	10	n+1	n+1	PROPN
ejpam-5793	261	11	≈	≈	PROPN
ejpam-5793	261	12	f1(ai	f1(ai	PROPN
ejpam-5793	261	13	,	,	PUNCT
ejpam-5793	261	14	t	t	PROPN
ejpam-5793	261	15	n+1	n+1	PROPN
ejpam-5793	261	16	)	)	PUNCT
ejpam-5793	261	17	=	=	SYM
ejpam-5793	261	18	fn+1	fn+1	NOUN
ejpam-5793	261	19	1	1	NUM
ejpam-5793	261	20	(	(	PUNCT
ejpam-5793	261	21	ai	ai	NOUN
ejpam-5793	261	22	)	)	PUNCT
ejpam-5793	261	23	,	,	PUNCT
ejpam-5793	262	1	∀ai	∀ai	PROPN
ejpam-5793	262	2	∈	∈	PROPN
ejpam-5793	262	3	∂ω	∂ω	PROPN
ejpam-5793	262	4	,	,	PUNCT
ejpam-5793	262	5	where	where	SCONJ
ejpam-5793	262	6	i	i	PRON
ejpam-5793	262	7	=	=	NOUN
ejpam-5793	262	8	0	0	NUM
ejpam-5793	262	9	,	,	PUNCT
ejpam-5793	262	10	1	1	NUM
ejpam-5793	262	11	,	,	PUNCT
ejpam-5793	262	12	2	2	NUM
ejpam-5793	262	13	,	,	PUNCT
ejpam-5793	262	14	·	·	PUNCT
ejpam-5793	262	15	·	·	PUNCT
ejpam-5793	262	16	·	·	PUNCT
ejpam-5793	262	17	,	,	PUNCT
ejpam-5793	262	18	m	m	VERB
ejpam-5793	262	19	.	.	PUNCT
ejpam-5793	263	1	in	in	ADP
ejpam-5793	263	2	matrix	matrix	NOUN
ejpam-5793	263	3	-	-	PUNCT
ejpam-5793	263	4	vector	vector	NOUN
ejpam-5793	263	5	form	form	NOUN
ejpam-5793	263	6	:	:	PUNCT
ejpam-5793	263	7	gλn+1	gλn+1	NOUN
ejpam-5793	263	8	=	=	PUNCT
ejpam-5793	263	9	hλn	hλn	NOUN
ejpam-5793	263	10	+	+	NOUN
ejpam-5793	263	11	qn+1	qn+1	NUM
ejpam-5793	263	12	.	.	PUNCT
ejpam-5793	264	1	(	(	PUNCT
ejpam-5793	264	2	32	32	NUM
ejpam-5793	264	3	)	)	PUNCT
ejpam-5793	264	4	the	the	DET
ejpam-5793	264	5	entries	entry	NOUN
ejpam-5793	264	6	of	of	ADP
ejpam-5793	264	7	the	the	DET
ejpam-5793	264	8	matrix	matrix	NOUN
ejpam-5793	264	9	in	in	ADP
ejpam-5793	264	10	this	this	DET
ejpam-5793	264	11	case	case	NOUN
ejpam-5793	264	12	are	be	AUX
ejpam-5793	264	13	defined	define	VERB
ejpam-5793	264	14	as	as	SCONJ
ejpam-5793	264	15	follows	follow	VERB
ejpam-5793	264	16	:	:	PUNCT
ejpam-5793	264	17	(	(	PUNCT
ejpam-5793	264	18	g)i	g)i	NOUN
ejpam-5793	264	19	=	=	SYM
ejpam-5793	264	20	{	{	PUNCT
ejpam-5793	264	21	(	(	PUNCT
ejpam-5793	264	22	aη)l(ai)−	aη)l(ai)−	NUM
ejpam-5793	264	23	θ	θ	NOUN
ejpam-5793	264	24	(	(	PUNCT
ejpam-5793	264	25	1	1	NUM
ejpam-5793	264	26	2	2	NUM
ejpam-5793	264	27	ς	ς	PROPN
ejpam-5793	264	28	2a2	2a2	NUM
ejpam-5793	264	29	il	il	PROPN
ejpam-5793	264	30	t	t	PROPN
ejpam-5793	264	31	aa(ai	aa(ai	PROPN
ejpam-5793	264	32	)	)	PUNCT
ejpam-5793	264	33	+	+	CCONJ
ejpam-5793	264	34	ϵalt	ϵalt	PROPN
ejpam-5793	264	35	a(ai)−	a(ai)−	NOUN
ejpam-5793	264	36	ϵlt(ai	ϵlt(ai	NOUN
ejpam-5793	264	37	)	)	PUNCT
ejpam-5793	264	38	)	)	PUNCT
ejpam-5793	264	39	,	,	PUNCT
ejpam-5793	264	40	ai	ai	VERB
ejpam-5793	264	41	∈	∈	PROPN
ejpam-5793	264	42	ω	ω	PROPN
ejpam-5793	264	43	,	,	PUNCT
ejpam-5793	264	44	bl(ai	bl(ai	PROPN
ejpam-5793	264	45	)	)	PUNCT
ejpam-5793	264	46	,	,	PUNCT
ejpam-5793	264	47	ai	ai	VERB
ejpam-5793	264	48	∈	∈	PROPN
ejpam-5793	264	49	∂ω	∂ω	PROPN
ejpam-5793	264	50	,	,	PUNCT
ejpam-5793	264	51	(	(	PUNCT
ejpam-5793	264	52	33	33	NUM
ejpam-5793	264	53	)	)	PUNCT
ejpam-5793	264	54	(	(	PUNCT
ejpam-5793	264	55	h)i	h)i	NOUN
ejpam-5793	264	56	=	=	SYM
ejpam-5793	264	57	{	{	PUNCT
ejpam-5793	264	58	(	(	PUNCT
ejpam-5793	264	59	aη)l(ai	aη)l(ai	PROPN
ejpam-5793	264	60	)	)	PUNCT
ejpam-5793	264	61	+	+	CCONJ
ejpam-5793	264	62	(	(	PUNCT
ejpam-5793	264	63	1−	1−	NUM
ejpam-5793	264	64	θ	θ	NOUN
ejpam-5793	264	65	)	)	PUNCT
ejpam-5793	264	66	(	(	PUNCT
ejpam-5793	264	67	1	1	NUM
ejpam-5793	264	68	2	2	NUM
ejpam-5793	264	69	ς	ς	PROPN
ejpam-5793	264	70	2a2	2a2	NUM
ejpam-5793	264	71	il	il	PROPN
ejpam-5793	264	72	t	t	PROPN
ejpam-5793	264	73	aa(ai	aa(ai	PROPN
ejpam-5793	264	74	)	)	PUNCT
ejpam-5793	264	75	+	+	CCONJ
ejpam-5793	264	76	ϵalt	ϵalt	PROPN
ejpam-5793	264	77	a(ai)−	a(ai)−	NOUN
ejpam-5793	264	78	ϵlt(ai	ϵlt(ai	NOUN
ejpam-5793	264	79	)	)	PUNCT
ejpam-5793	264	80	)	)	PUNCT
ejpam-5793	264	81	,	,	PUNCT
ejpam-5793	264	82	ai	ai	VERB
ejpam-5793	264	83	∈	∈	PROPN
ejpam-5793	264	84	ω	ω	PROPN
ejpam-5793	264	85	,	,	PUNCT
ejpam-5793	264	86	0	0	NUM
ejpam-5793	264	87	,	,	PUNCT
ejpam-5793	264	88	ai	ai	VERB
ejpam-5793	264	89	∈	∈	PROPN
ejpam-5793	264	90	∂ω	∂ω	PROPN
ejpam-5793	264	91	,	,	PUNCT
ejpam-5793	264	92	(	(	PUNCT
ejpam-5793	264	93	34	34	NUM
ejpam-5793	264	94	)	)	PUNCT
ejpam-5793	264	95	imtiaz	imtiaz	PROPN
ejpam-5793	264	96	ahmad	ahmad	PROPN
ejpam-5793	264	97	et	et	PROPN
ejpam-5793	264	98	al	al	PROPN
ejpam-5793	264	99	.	.	PUNCT
ejpam-5793	264	100	/	/	SYM
ejpam-5793	264	101	eur	eur	PROPN
ejpam-5793	264	102	.	.	PUNCT
ejpam-5793	265	1	j.	j.	PROPN
ejpam-5793	265	2	pure	pure	PROPN
ejpam-5793	265	3	appl	appl	PROPN
ejpam-5793	265	4	.	.	PROPN
ejpam-5793	265	5	math	math	PROPN
ejpam-5793	265	6	,	,	PUNCT
ejpam-5793	265	7	18	18	NUM
ejpam-5793	265	8	(	(	PUNCT
ejpam-5793	265	9	1	1	NUM
ejpam-5793	265	10	)	)	PUNCT
ejpam-5793	265	11	(	(	PUNCT
ejpam-5793	265	12	2025	2025	NUM
ejpam-5793	265	13	)	)	PUNCT
ejpam-5793	265	14	,	,	PUNCT
ejpam-5793	265	15	5793	5793	NUM
ejpam-5793	265	16	12	12	NUM
ejpam-5793	265	17	of	of	ADP
ejpam-5793	265	18	27	27	NUM
ejpam-5793	265	19	and	and	CCONJ
ejpam-5793	265	20	(	(	PUNCT
ejpam-5793	265	21	q)i	q)i	NOUN
ejpam-5793	265	22	=	=	SYM
ejpam-5793	265	23	{	{	PUNCT
ejpam-5793	265	24	−qn	−qn	PROPN
ejpam-5793	265	25	η	η	PROPN
ejpam-5793	265	26	(	(	PUNCT
ejpam-5793	265	27	ai	ai	PROPN
ejpam-5793	265	28	)	)	PUNCT
ejpam-5793	265	29	,	,	PUNCT
ejpam-5793	265	30	ai	ai	VERB
ejpam-5793	265	31	∈	∈	PROPN
ejpam-5793	265	32	ω	ω	PROPN
ejpam-5793	265	33	,	,	PUNCT
ejpam-5793	265	34	f1(ai	f1(ai	PROPN
ejpam-5793	265	35	,	,	PUNCT
ejpam-5793	265	36	t	t	PROPN
ejpam-5793	265	37	n+1	n+1	NUM
ejpam-5793	265	38	)	)	PUNCT
ejpam-5793	265	39	,	,	PUNCT
ejpam-5793	265	40	ai	ai	VERB
ejpam-5793	265	41	∈	∈	PROPN
ejpam-5793	265	42	∂ω	∂ω	PROPN
ejpam-5793	265	43	.	.	PUNCT
ejpam-5793	266	1	(	(	PUNCT
ejpam-5793	266	2	35	35	NUM
ejpam-5793	266	3	)	)	PUNCT
ejpam-5793	266	4	the	the	DET
ejpam-5793	266	5	methodological	methodological	ADJ
ejpam-5793	266	6	framework	framework	NOUN
ejpam-5793	266	7	for	for	ADP
ejpam-5793	266	8	eq	eq	PROPN
ejpam-5793	266	9	.	.	PUNCT
ejpam-5793	267	1	(	(	PUNCT
ejpam-5793	267	2	18	18	NUM
ejpam-5793	267	3	)	)	PUNCT
ejpam-5793	267	4	has	have	AUX
ejpam-5793	267	5	been	be	AUX
ejpam-5793	267	6	completed	complete	VERB
ejpam-5793	267	7	up	up	ADP
ejpam-5793	267	8	to	to	ADP
ejpam-5793	267	9	this	this	DET
ejpam-5793	267	10	stage	stage	NOUN
ejpam-5793	267	11	.	.	PUNCT
ejpam-5793	268	1	according	accord	VERB
ejpam-5793	268	2	to	to	ADP
ejpam-5793	268	3	[	[	X
ejpam-5793	268	4	41	41	NUM
ejpam-5793	268	5	]	]	PUNCT
ejpam-5793	268	6	,	,	PUNCT
ejpam-5793	268	7	it	it	PRON
ejpam-5793	268	8	is	be	AUX
ejpam-5793	268	9	assured	assure	VERB
ejpam-5793	268	10	that	that	SCONJ
ejpam-5793	268	11	the	the	DET
ejpam-5793	268	12	linear	linear	ADJ
ejpam-5793	268	13	system	system	NOUN
ejpam-5793	268	14	defined	define	VERB
ejpam-5793	268	15	by	by	ADP
ejpam-5793	268	16	eq	eq	PROPN
ejpam-5793	268	17	.	.	PUNCT
ejpam-5793	268	18	(	(	PUNCT
ejpam-5793	268	19	32	32	NUM
ejpam-5793	268	20	)	)	PUNCT
ejpam-5793	268	21	possesses	possess	VERB
ejpam-5793	268	22	a	a	DET
ejpam-5793	268	23	solution	solution	NOUN
ejpam-5793	268	24	.	.	PUNCT
ejpam-5793	269	1	at	at	ADP
ejpam-5793	269	2	each	each	DET
ejpam-5793	269	3	time	time	NOUN
ejpam-5793	269	4	step	step	NOUN
ejpam-5793	269	5	,	,	PUNCT
ejpam-5793	269	6	we	we	PRON
ejpam-5793	269	7	can	can	AUX
ejpam-5793	269	8	determine	determine	VERB
ejpam-5793	269	9	the	the	DET
ejpam-5793	269	10	vector	vector	NOUN
ejpam-5793	269	11	of	of	ADP
ejpam-5793	269	12	unknown	unknown	ADJ
ejpam-5793	269	13	coefficients	coefficient	NOUN
ejpam-5793	269	14	by	by	ADP
ejpam-5793	269	15	solving	solve	VERB
ejpam-5793	269	16	eq	eq	ADJ
ejpam-5793	269	17	.	.	PUNCT
ejpam-5793	270	1	(	(	PUNCT
ejpam-5793	270	2	32	32	NUM
ejpam-5793	270	3	)	)	PUNCT
ejpam-5793	270	4	.	.	PUNCT
ejpam-5793	271	1	the	the	DET
ejpam-5793	271	2	procedure	procedure	NOUN
ejpam-5793	271	3	is	be	AUX
ejpam-5793	271	4	initiated	initiate	VERB
ejpam-5793	271	5	using	use	VERB
ejpam-5793	271	6	the	the	DET
ejpam-5793	271	7	first	first	ADJ
ejpam-5793	271	8	condition	condition	NOUN
ejpam-5793	271	9	as	as	SCONJ
ejpam-5793	271	10	follows	follow	VERB
ejpam-5793	271	11	:	:	PUNCT
ejpam-5793	271	12	lt(ai)λ	lt(ai)λ	NOUN
ejpam-5793	271	13	0	0	NUM
ejpam-5793	272	1	=	=	SYM
ejpam-5793	272	2	p(ai	p(ai	NOUN
ejpam-5793	272	3	,	,	PUNCT
ejpam-5793	272	4	0	0	NUM
ejpam-5793	272	5	)	)	PUNCT
ejpam-5793	273	1	=	=	NOUN
ejpam-5793	273	2	p0	p0	NOUN
ejpam-5793	273	3	=	=	NOUN
ejpam-5793	273	4	⇒	⇒	NOUN
ejpam-5793	273	5	aλ0	aλ0	VERB
ejpam-5793	273	6	=	=	ADJ
ejpam-5793	273	7	p0	p0	NOUN
ejpam-5793	273	8	.	.	PUNCT
ejpam-5793	274	1	upon	upon	SCONJ
ejpam-5793	274	2	solving	solve	VERB
ejpam-5793	274	3	,	,	PUNCT
ejpam-5793	274	4	we	we	PRON
ejpam-5793	274	5	obtain	obtain	VERB
ejpam-5793	274	6	λ0	λ0	NOUN
ejpam-5793	274	7	.	.	PUNCT
ejpam-5793	275	1	equation	equation	NOUN
ejpam-5793	275	2	(	(	PUNCT
ejpam-5793	275	3	32	32	NUM
ejpam-5793	275	4	)	)	PUNCT
ejpam-5793	275	5	demonstrates	demonstrate	VERB
ejpam-5793	275	6	that	that	SCONJ
ejpam-5793	275	7	this	this	DET
ejpam-5793	275	8	iterative	iterative	NOUN
ejpam-5793	275	9	procedure	procedure	NOUN
ejpam-5793	275	10	continues	continue	VERB
ejpam-5793	275	11	until	until	SCONJ
ejpam-5793	275	12	the	the	DET
ejpam-5793	275	13	desired	desire	VERB
ejpam-5793	275	14	time	time	NOUN
ejpam-5793	275	15	level	level	NOUN
ejpam-5793	275	16	is	be	AUX
ejpam-5793	275	17	achieved	achieve	VERB
ejpam-5793	275	18	.	.	PUNCT
ejpam-5793	276	1	subsequently	subsequently	ADV
ejpam-5793	276	2	,	,	PUNCT
ejpam-5793	276	3	the	the	DET
ejpam-5793	276	4	coefficient	coefficient	NOUN
ejpam-5793	276	5	vector	vector	NOUN
ejpam-5793	276	6	is	be	AUX
ejpam-5793	276	7	computed	compute	VERB
ejpam-5793	276	8	to	to	PART
ejpam-5793	276	9	determine	determine	VERB
ejpam-5793	276	10	the	the	DET
ejpam-5793	276	11	solution	solution	NOUN
ejpam-5793	276	12	at	at	ADP
ejpam-5793	276	13	the	the	DET
ejpam-5793	276	14	specified	specified	ADJ
ejpam-5793	276	15	time	time	NOUN
ejpam-5793	276	16	step	step	NOUN
ejpam-5793	276	17	.	.	PUNCT
ejpam-5793	277	1	p(ai	p(ai	PROPN
ejpam-5793	277	2	,	,	PUNCT
ejpam-5793	277	3	t	t	NOUN
ejpam-5793	277	4	n	n	CCONJ
ejpam-5793	277	5	)	)	PUNCT
ejpam-5793	277	6	=	=	SYM
ejpam-5793	277	7	lt(ai)λ	lt(ai)λ	NOUN
ejpam-5793	277	8	n	n	CCONJ
ejpam-5793	277	9	,	,	PUNCT
ejpam-5793	277	10	∀ai	∀ai	PROPN
ejpam-5793	277	11	∈	∈	PROPN
ejpam-5793	277	12	ω	ω	PROPN
ejpam-5793	277	13	,	,	PUNCT
ejpam-5793	277	14	(	(	PUNCT
ejpam-5793	277	15	n	n	CCONJ
ejpam-5793	277	16	≥	≥	NOUN
ejpam-5793	277	17	0	0	NUM
ejpam-5793	277	18	)	)	PUNCT
ejpam-5793	277	19	.	.	PUNCT
ejpam-5793	278	1	5	5	X
ejpam-5793	278	2	.	.	NOUN
ejpam-5793	278	3	numerical	numerical	ADJ
ejpam-5793	278	4	analysis	analysis	NOUN
ejpam-5793	278	5	of	of	ADP
ejpam-5793	278	6	computational	computational	ADJ
ejpam-5793	278	7	simulations	simulation	NOUN
ejpam-5793	278	8	this	this	DET
ejpam-5793	278	9	study	study	NOUN
ejpam-5793	278	10	assesses	assess	VERB
ejpam-5793	278	11	the	the	DET
ejpam-5793	278	12	proposed	propose	VERB
ejpam-5793	278	13	method	method	NOUN
ejpam-5793	278	14	in	in	ADP
ejpam-5793	278	15	terms	term	NOUN
ejpam-5793	278	16	of	of	ADP
ejpam-5793	278	17	accuracy	accuracy	NOUN
ejpam-5793	278	18	,	,	PUNCT
ejpam-5793	278	19	convergence	convergence	NOUN
ejpam-5793	278	20	order	order	NOUN
ejpam-5793	278	21	,	,	PUNCT
ejpam-5793	278	22	and	and	CCONJ
ejpam-5793	278	23	applicability	applicability	NOUN
ejpam-5793	278	24	.	.	PUNCT
ejpam-5793	279	1	the	the	DET
ejpam-5793	279	2	evaluation	evaluation	NOUN
ejpam-5793	279	3	includes	include	VERB
ejpam-5793	279	4	both	both	PRON
ejpam-5793	279	5	vanilla	vanilla	NOUN
ejpam-5793	279	6	and	and	CCONJ
ejpam-5793	279	7	exotic	exotic	ADJ
ejpam-5793	279	8	options	option	NOUN
ejpam-5793	279	9	.	.	PUNCT
ejpam-5793	280	1	we	we	PRON
ejpam-5793	280	2	employed	employ	VERB
ejpam-5793	280	3	the	the	DET
ejpam-5793	280	4	maximum	maximum	ADJ
ejpam-5793	280	5	error	error	NOUN
ejpam-5793	280	6	(	(	PUNCT
ejpam-5793	280	7	l∞	l∞	NOUN
ejpam-5793	280	8	)	)	PUNCT
ejpam-5793	280	9	norm	norm	NOUN
ejpam-5793	280	10	to	to	PART
ejpam-5793	280	11	measure	measure	VERB
ejpam-5793	280	12	accuracy	accuracy	NOUN
ejpam-5793	280	13	.	.	PUNCT
ejpam-5793	281	1	l∞	l∞	NOUN
ejpam-5793	281	2	=	=	SYM
ejpam-5793	281	3	max|pex	max|pex	NOUN
ejpam-5793	281	4	−	−	NOUN
ejpam-5793	281	5	p|	p|	NOUN
ejpam-5793	281	6	,	,	PUNCT
ejpam-5793	281	7	where	where	SCONJ
ejpam-5793	281	8	pex	pex	PROPN
ejpam-5793	281	9	and	and	CCONJ
ejpam-5793	281	10	p	p	NOUN
ejpam-5793	281	11	denote	denote	VERB
ejpam-5793	281	12	the	the	DET
ejpam-5793	281	13	precise	precise	ADJ
ejpam-5793	281	14	and	and	CCONJ
ejpam-5793	281	15	numerical	numerical	ADJ
ejpam-5793	281	16	values	value	NOUN
ejpam-5793	281	17	respectively	respectively	ADV
ejpam-5793	281	18	.	.	PUNCT
ejpam-5793	282	1	consider	consider	VERB
ejpam-5793	282	2	the	the	DET
ejpam-5793	282	3	following	follow	VERB
ejpam-5793	282	4	model	model	NOUN
ejpam-5793	282	5	equation	equation	NOUN
ejpam-5793	282	6	[	[	X
ejpam-5793	282	7	50	50	NUM
ejpam-5793	282	8	]	]	PUNCT
ejpam-5793	282	9	:	:	PUNCT
ejpam-5793	283	1	∂ηp	∂ηp	PROPN
ejpam-5793	283	2	∂t	∂t	PROPN
ejpam-5793	283	3	η	η	PROPN
ejpam-5793	283	4	=	=	PROPN
ejpam-5793	283	5	1	1	NUM
ejpam-5793	283	6	2	2	NUM
ejpam-5793	283	7	ς2a2	ς2a2	NOUN
ejpam-5793	283	8	∂	∂	NUM
ejpam-5793	283	9	2p	2p	NUM
ejpam-5793	283	10	∂a2	∂a2	VERB
ejpam-5793	283	11	+	+	CCONJ
ejpam-5793	284	1	ϵa∂p	ϵa∂p	PROPN
ejpam-5793	284	2	∂a	∂a	NUM
ejpam-5793	284	3	−	−	NOUN
ejpam-5793	285	1	ϵp	ϵp	ADP
ejpam-5793	285	2	+	+	CCONJ
ejpam-5793	285	3	f(a	f(a	PROPN
ejpam-5793	285	4	,	,	PUNCT
ejpam-5793	285	5	t	t	PROPN
ejpam-5793	285	6	)	)	PUNCT
ejpam-5793	285	7	,	,	PUNCT
ejpam-5793	285	8	(	(	PUNCT
ejpam-5793	285	9	a	a	X
ejpam-5793	285	10	,	,	PUNCT
ejpam-5793	285	11	t	t	NOUN
ejpam-5793	285	12	)	)	PUNCT
ejpam-5793	285	13	∈	∈	PROPN
ejpam-5793	285	14	(	(	PUNCT
ejpam-5793	285	15	0,amax)×	0,amax)×	X
ejpam-5793	285	16	(	(	PUNCT
ejpam-5793	285	17	0	0	NUM
ejpam-5793	285	18	,	,	PUNCT
ejpam-5793	285	19	t	t	NOUN
ejpam-5793	285	20	)	)	PUNCT
ejpam-5793	285	21	,	,	PUNCT
ejpam-5793	285	22	p(0	p(0	PROPN
ejpam-5793	285	23	,	,	PUNCT
ejpam-5793	285	24	t	t	NOUN
ejpam-5793	285	25	)	)	PUNCT
ejpam-5793	285	26	=	=	SYM
ejpam-5793	285	27	0	0	NUM
ejpam-5793	285	28	,	,	PUNCT
ejpam-5793	285	29	p(amax	p(amax	NOUN
ejpam-5793	285	30	,	,	PUNCT
ejpam-5793	285	31	t	t	NOUN
ejpam-5793	285	32	)	)	PUNCT
ejpam-5793	285	33	=	=	SYM
ejpam-5793	285	34	0	0	NUM
ejpam-5793	285	35	,	,	PUNCT
ejpam-5793	285	36	p(a	p(a	NOUN
ejpam-5793	285	37	,	,	PUNCT
ejpam-5793	285	38	0	0	NUM
ejpam-5793	285	39	)	)	PUNCT
ejpam-5793	285	40	=	=	PUNCT
ejpam-5793	285	41	a2(1−a	a2(1−a	NOUN
ejpam-5793	285	42	)	)	PUNCT
ejpam-5793	285	43	.	.	PUNCT
ejpam-5793	286	1	(	(	PUNCT
ejpam-5793	286	2	36	36	NUM
ejpam-5793	286	3	)	)	PUNCT
ejpam-5793	286	4	we	we	PRON
ejpam-5793	286	5	define	define	VERB
ejpam-5793	286	6	f	f	PROPN
ejpam-5793	286	7	as	as	SCONJ
ejpam-5793	286	8	follows	follow	VERB
ejpam-5793	286	9	:	:	PUNCT
ejpam-5793	287	1	f	f	X
ejpam-5793	287	2	=	=	PRON
ejpam-5793	287	3	(	(	PUNCT
ejpam-5793	287	4	2	2	NUM
ejpam-5793	287	5	t	t	NOUN
ejpam-5793	287	6	2−η	2−η	NUM
ejpam-5793	287	7	γ(3−	γ(3−	ADP
ejpam-5793	287	8	η	η	NOUN
ejpam-5793	287	9	)	)	PUNCT
ejpam-5793	287	10	+	+	CCONJ
ejpam-5793	287	11	2	2	NUM
ejpam-5793	287	12	t	t	NOUN
ejpam-5793	287	13	1−η	1−η	NUM
ejpam-5793	287	14	γ(2−	γ(2−	PROPN
ejpam-5793	287	15	η	η	PROPN
ejpam-5793	287	16	)	)	PUNCT
ejpam-5793	287	17	)	)	PUNCT
ejpam-5793	287	18	a2(1−a)−	a2(1−a)−	VERB
ejpam-5793	287	19	(	(	PUNCT
ejpam-5793	287	20	t	t	NOUN
ejpam-5793	287	21	+1)2[x(2−6a)+y(2a−3a2)−	+1)2[x(2−6a)+y(2a−3a2)−	NUM
ejpam-5793	287	22	za2(1−a	za2(1−a	NOUN
ejpam-5793	287	23	)	)	PUNCT
ejpam-5793	287	24	]	]	PUNCT
ejpam-5793	287	25	.	.	PUNCT
ejpam-5793	288	1	this	this	DET
ejpam-5793	288	2	expression	expression	NOUN
ejpam-5793	288	3	is	be	AUX
ejpam-5793	288	4	selected	select	VERB
ejpam-5793	288	5	so	so	SCONJ
ejpam-5793	288	6	that	that	SCONJ
ejpam-5793	288	7	p	p	NOUN
ejpam-5793	288	8	=	=	X
ejpam-5793	288	9	(	(	PUNCT
ejpam-5793	288	10	t	t	PROPN
ejpam-5793	288	11	+	+	CCONJ
ejpam-5793	288	12	1)2a2(1	1)2a2(1	NOUN
ejpam-5793	288	13	−	−	NOUN
ejpam-5793	288	14	a	a	PRON
ejpam-5793	288	15	)	)	PUNCT
ejpam-5793	288	16	serves	serve	VERB
ejpam-5793	288	17	as	as	ADP
ejpam-5793	288	18	the	the	DET
ejpam-5793	288	19	exact	exact	ADJ
ejpam-5793	288	20	solution	solution	NOUN
ejpam-5793	288	21	to	to	ADP
ejpam-5793	288	22	eq	eq	PROPN
ejpam-5793	288	23	.	.	PUNCT
ejpam-5793	289	1	(	(	PUNCT
ejpam-5793	289	2	36	36	NUM
ejpam-5793	289	3	)	)	PUNCT
ejpam-5793	289	4	.	.	PUNCT
ejpam-5793	290	1	the	the	DET
ejpam-5793	290	2	parameters	parameter	NOUN
ejpam-5793	290	3	for	for	ADP
ejpam-5793	290	4	this	this	DET
ejpam-5793	290	5	scenario	scenario	NOUN
ejpam-5793	290	6	are	be	AUX
ejpam-5793	290	7	defined	define	VERB
ejpam-5793	290	8	as	as	SCONJ
ejpam-5793	290	9	follows	follow	VERB
ejpam-5793	290	10	:	:	PUNCT
ejpam-5793	291	1	ς	ς	PROPN
ejpam-5793	291	2	=	=	PUNCT
ejpam-5793	291	3	0.25	0.25	NUM
ejpam-5793	291	4	,	,	PUNCT
ejpam-5793	292	1	ϵ	ϵ	X
ejpam-5793	292	2	=	=	SYM
ejpam-5793	292	3	0.05	0.05	NUM
ejpam-5793	292	4	,	,	PUNCT
ejpam-5793	292	5	amax	amax	PROPN
ejpam-5793	292	6	=	=	PROPN
ejpam-5793	292	7	1	1	NUM
ejpam-5793	292	8	,	,	PUNCT
ejpam-5793	292	9	x	x	SYM
ejpam-5793	292	10	=	=	SYM
ejpam-5793	292	11	1	1	NUM
ejpam-5793	292	12	2	2	NUM
ejpam-5793	292	13	ς	ς	PROPN
ejpam-5793	292	14	2	2	NUM
ejpam-5793	292	15	,	,	PUNCT
ejpam-5793	292	16	y	y	PROPN
ejpam-5793	292	17	=	=	PUNCT
ejpam-5793	292	18	ϵ−	ϵ−	X
ejpam-5793	293	1	a	a	PRON
ejpam-5793	293	2	,	,	PUNCT
ejpam-5793	293	3	z	z	NOUN
ejpam-5793	293	4	=	=	SYM
ejpam-5793	293	5	ϵ	ϵ	NOUN
ejpam-5793	293	6	,	,	PUNCT
ejpam-5793	293	7	and	and	CCONJ
ejpam-5793	293	8	t	t	X
ejpam-5793	293	9	=	=	SYM
ejpam-5793	293	10	1	1	X
ejpam-5793	293	11	.	.	PUNCT
ejpam-5793	294	1	the	the	DET
ejpam-5793	294	2	convergence	convergence	NOUN
ejpam-5793	294	3	rates	rate	NOUN
ejpam-5793	294	4	and	and	CCONJ
ejpam-5793	294	5	slopes	slope	NOUN
ejpam-5793	294	6	of	of	ADP
ejpam-5793	294	7	the	the	DET
ejpam-5793	294	8	problem	problem	NOUN
ejpam-5793	294	9	5	5	NUM
ejpam-5793	294	10	are	be	AUX
ejpam-5793	294	11	illustrated	illustrate	VERB
ejpam-5793	294	12	in	in	ADP
ejpam-5793	294	13	figure	figure	NOUN
ejpam-5793	294	14	1	1	NUM
ejpam-5793	294	15	,	,	PUNCT
ejpam-5793	294	16	where	where	SCONJ
ejpam-5793	294	17	they	they	PRON
ejpam-5793	294	18	are	be	AUX
ejpam-5793	294	19	compared	compare	VERB
ejpam-5793	294	20	to	to	ADP
ejpam-5793	294	21	the	the	DET
ejpam-5793	294	22	implicit	implicit	ADJ
ejpam-5793	294	23	discrete	discrete	ADJ
ejpam-5793	294	24	scheme	scheme	NOUN
ejpam-5793	294	25	(	(	PUNCT
ejpam-5793	294	26	ids	id	NOUN
ejpam-5793	294	27	)	)	PUNCT
ejpam-5793	295	1	[	[	X
ejpam-5793	295	2	50	50	NUM
ejpam-5793	295	3	]	]	PUNCT
ejpam-5793	295	4	and	and	CCONJ
ejpam-5793	295	5	the	the	DET
ejpam-5793	295	6	local	local	ADJ
ejpam-5793	295	7	rbf	rbf	PROPN
ejpam-5793	295	8	collocation	collocation	NOUN
ejpam-5793	295	9	imtiaz	imtiaz	PROPN
ejpam-5793	295	10	ahmad	ahmad	PROPN
ejpam-5793	295	11	et	et	PROPN
ejpam-5793	295	12	al	al	PROPN
ejpam-5793	295	13	.	.	PUNCT
ejpam-5793	295	14	/	/	SYM
ejpam-5793	295	15	eur	eur	PROPN
ejpam-5793	295	16	.	.	PUNCT
ejpam-5793	296	1	j.	j.	PROPN
ejpam-5793	296	2	pure	pure	PROPN
ejpam-5793	296	3	appl	appl	PROPN
ejpam-5793	296	4	.	.	PROPN
ejpam-5793	296	5	math	math	PROPN
ejpam-5793	296	6	,	,	PUNCT
ejpam-5793	296	7	18	18	NUM
ejpam-5793	296	8	(	(	PUNCT
ejpam-5793	296	9	1	1	NUM
ejpam-5793	296	10	)	)	PUNCT
ejpam-5793	296	11	(	(	PUNCT
ejpam-5793	296	12	2025	2025	NUM
ejpam-5793	296	13	)	)	PUNCT
ejpam-5793	296	14	,	,	PUNCT
ejpam-5793	296	15	5793	5793	NUM
ejpam-5793	296	16	13	13	NUM
ejpam-5793	296	17	of	of	ADP
ejpam-5793	296	18	27	27	NUM
ejpam-5793	296	19	method	method	NOUN
ejpam-5793	296	20	(	(	PUNCT
ejpam-5793	296	21	lrbfcm	lrbfcm	PROPN
ejpam-5793	296	22	)	)	PUNCT
ejpam-5793	297	1	[	[	X
ejpam-5793	297	2	1	1	NUM
ejpam-5793	297	3	]	]	PUNCT
ejpam-5793	297	4	.	.	PUNCT
ejpam-5793	298	1	the	the	DET
ejpam-5793	298	2	figure	figure	NOUN
ejpam-5793	298	3	demonstrates	demonstrate	VERB
ejpam-5793	298	4	that	that	SCONJ
ejpam-5793	298	5	the	the	DET
ejpam-5793	298	6	results	result	NOUN
ejpam-5793	298	7	obtained	obtain	VERB
ejpam-5793	298	8	from	from	ADP
ejpam-5793	298	9	the	the	DET
ejpam-5793	298	10	proposed	propose	VERB
ejpam-5793	298	11	method	method	NOUN
ejpam-5793	298	12	exhibit	exhibit	VERB
ejpam-5793	298	13	greater	great	ADJ
ejpam-5793	298	14	accuracy	accuracy	NOUN
ejpam-5793	298	15	than	than	ADP
ejpam-5793	298	16	those	those	PRON
ejpam-5793	298	17	from	from	ADP
ejpam-5793	298	18	the	the	DET
ejpam-5793	298	19	other	other	ADJ
ejpam-5793	298	20	methods	method	NOUN
ejpam-5793	298	21	.	.	PUNCT
ejpam-5793	299	1	additionally	additionally	ADV
ejpam-5793	299	2	,	,	PUNCT
ejpam-5793	299	3	the	the	DET
ejpam-5793	299	4	numerical	numerical	ADJ
ejpam-5793	299	5	solution	solution	NOUN
ejpam-5793	299	6	for	for	ADP
ejpam-5793	299	7	nodal	nodal	NOUN
ejpam-5793	299	8	points	point	NOUN
ejpam-5793	299	9	m	m	VERB
ejpam-5793	299	10	=	=	SYM
ejpam-5793	299	11	64	64	NUM
ejpam-5793	299	12	,	,	PUNCT
ejpam-5793	299	13	fractional	fractional	ADJ
ejpam-5793	299	14	-	-	PUNCT
ejpam-5793	299	15	order	order	NOUN
ejpam-5793	299	16	η	η	NOUN
ejpam-5793	299	17	=	=	NOUN
ejpam-5793	299	18	0.7	0.7	NUM
ejpam-5793	299	19	,	,	PUNCT
ejpam-5793	299	20	and	and	CCONJ
ejpam-5793	299	21	η	η	PROPN
ejpam-5793	299	22	=	=	SYM
ejpam-5793	299	23	1	1	NUM
ejpam-5793	299	24	is	be	AUX
ejpam-5793	299	25	presented	present	VERB
ejpam-5793	299	26	in	in	ADP
ejpam-5793	299	27	figure	figure	NOUN
ejpam-5793	299	28	2	2	NUM
ejpam-5793	299	29	.	.	PUNCT
ejpam-5793	300	1	the	the	DET
ejpam-5793	300	2	numerical	numerical	ADJ
ejpam-5793	300	3	outcomes	outcome	NOUN
ejpam-5793	300	4	obtained	obtain	VERB
ejpam-5793	300	5	from	from	ADP
ejpam-5793	300	6	the	the	DET
ejpam-5793	300	7	proposed	propose	VERB
ejpam-5793	300	8	methodology	methodology	NOUN
ejpam-5793	300	9	exhibit	exhibit	VERB
ejpam-5793	300	10	a	a	DET
ejpam-5793	300	11	high	high	ADJ
ejpam-5793	300	12	degree	degree	NOUN
ejpam-5793	300	13	of	of	ADP
ejpam-5793	300	14	concordance	concordance	NOUN
ejpam-5793	300	15	with	with	ADP
ejpam-5793	300	16	the	the	DET
ejpam-5793	300	17	exact	exact	ADJ
ejpam-5793	300	18	solutions	solution	NOUN
ejpam-5793	300	19	.	.	PUNCT
ejpam-5793	301	1	10	10	NUM
ejpam-5793	301	2	−2	−2	NOUN
ejpam-5793	301	3	10	10	NUM
ejpam-5793	301	4	−1	−1	NOUN
ejpam-5793	301	5	10	10	NUM
ejpam-5793	301	6	0	0	NUM
ejpam-5793	301	7	10	10	NUM
ejpam-5793	301	8	−6	−6	NUM
ejpam-5793	301	9	10	10	NUM
ejpam-5793	301	10	−5	−5	NOUN
ejpam-5793	301	11	10	10	NUM
ejpam-5793	301	12	−4	−4	NUM
ejpam-5793	301	13	10	10	NUM
ejpam-5793	301	14	−3	−3	NOUN
ejpam-5793	301	15	10	10	NUM
ejpam-5793	301	16	−2	−2	NOUN
ejpam-5793	301	17	problem	problem	NOUN
ejpam-5793	301	18	1	1	NUM
ejpam-5793	301	19	log(h	log(h	NOUN
ejpam-5793	301	20	)	)	PUNCT
ejpam-5793	301	21	lo	lo	PROPN
ejpam-5793	301	22	g	g	PROPN
ejpam-5793	301	23	(	(	PUNCT
ejpam-5793	301	24	l	l	NOUN
ejpam-5793	301	25	∞	∞	NUM
ejpam-5793	301	26	)	)	PUNCT
ejpam-5793	301	27	lrbfcm	lrbfcm	PROPN
ejpam-5793	301	28	ids	id	NOUN
ejpam-5793	301	29	proposed	propose	VERB
ejpam-5793	301	30	method	method	NOUN
ejpam-5793	301	31	figure	figure	NOUN
ejpam-5793	301	32	1	1	NUM
ejpam-5793	301	33	:	:	PUNCT
ejpam-5793	301	34	comparative	comparative	ADJ
ejpam-5793	301	35	analysis	analysis	NOUN
ejpam-5793	301	36	of	of	ADP
ejpam-5793	301	37	the	the	DET
ejpam-5793	301	38	proposed	propose	VERB
ejpam-5793	301	39	method	method	NOUN
ejpam-5793	301	40	with	with	ADP
ejpam-5793	301	41	the	the	DET
ejpam-5793	301	42	lrbfcm	lrbfcm	NOUN
ejpam-5793	302	1	[	[	X
ejpam-5793	302	2	1	1	X
ejpam-5793	302	3	]	]	PUNCT
ejpam-5793	302	4	and	and	CCONJ
ejpam-5793	302	5	ids	id	VERB
ejpam-5793	302	6	[	[	X
ejpam-5793	302	7	50	50	NUM
ejpam-5793	302	8	]	]	PUNCT
ejpam-5793	302	9	in	in	ADP
ejpam-5793	302	10	terms	term	NOUN
ejpam-5793	302	11	of	of	ADP
ejpam-5793	302	12	l∞	l∞	NOUN
ejpam-5793	302	13	for	for	ADP
ejpam-5793	302	14	various	various	ADJ
ejpam-5793	302	15	spatial	spatial	ADJ
ejpam-5793	302	16	steps	step	NOUN
ejpam-5793	302	17	h	h	NOUN
ejpam-5793	302	18	in	in	ADP
ejpam-5793	302	19	problem	problem	NOUN
ejpam-5793	302	20	5	5	NUM
ejpam-5793	302	21	.	.	NOUN
ejpam-5793	302	22	0	0	NUM
ejpam-5793	302	23	0.1	0.1	NUM
ejpam-5793	302	24	0.2	0.2	NUM
ejpam-5793	302	25	0.3	0.3	NUM
ejpam-5793	302	26	0.4	0.4	NUM
ejpam-5793	302	27	0.5	0.5	NUM
ejpam-5793	302	28	0.6	0.6	NUM
ejpam-5793	302	29	0.7	0.7	NUM
ejpam-5793	302	30	0.8	0.8	NUM
ejpam-5793	302	31	0.9	0.9	NUM
ejpam-5793	302	32	1	1	NUM
ejpam-5793	302	33	0	0	NUM
ejpam-5793	302	34	0.1	0.1	NUM
ejpam-5793	302	35	0.2	0.2	NUM
ejpam-5793	302	36	0.3	0.3	NUM
ejpam-5793	302	37	0.4	0.4	NUM
ejpam-5793	302	38	0.5	0.5	NUM
ejpam-5793	302	39	0.6	0.6	NUM
ejpam-5793	302	40	0.7	0.7	NUM
ejpam-5793	302	41	a	a	DET
ejpam-5793	302	42	p	p	X
ejpam-5793	302	43	(	(	PUNCT
ejpam-5793	302	44	a	a	PRON
ejpam-5793	302	45	,	,	PUNCT
ejpam-5793	302	46	t	t	NOUN
ejpam-5793	302	47	)	)	PUNCT
ejpam-5793	302	48	exact	exact	ADJ
ejpam-5793	302	49	solution	solution	NOUN
ejpam-5793	302	50	numerical	numerical	ADJ
ejpam-5793	302	51	solution	solution	NOUN
ejpam-5793	302	52	0	0	NUM
ejpam-5793	302	53	0.1	0.1	NUM
ejpam-5793	302	54	0.2	0.2	NUM
ejpam-5793	302	55	0.3	0.3	NUM
ejpam-5793	302	56	0.4	0.4	NUM
ejpam-5793	302	57	0.5	0.5	NUM
ejpam-5793	302	58	0.6	0.6	NUM
ejpam-5793	302	59	0.7	0.7	NUM
ejpam-5793	302	60	0.8	0.8	NUM
ejpam-5793	302	61	0.9	0.9	NUM
ejpam-5793	302	62	1	1	NUM
ejpam-5793	302	63	0	0	NUM
ejpam-5793	302	64	0.1	0.1	NUM
ejpam-5793	302	65	0.2	0.2	NUM
ejpam-5793	302	66	0.3	0.3	NUM
ejpam-5793	302	67	0.4	0.4	NUM
ejpam-5793	302	68	0.5	0.5	NUM
ejpam-5793	302	69	0.6	0.6	NUM
ejpam-5793	302	70	0.7	0.7	NUM
ejpam-5793	302	71	a	a	DET
ejpam-5793	302	72	p	p	X
ejpam-5793	302	73	(	(	PUNCT
ejpam-5793	302	74	a	a	PRON
ejpam-5793	302	75	,	,	PUNCT
ejpam-5793	302	76	t	t	NOUN
ejpam-5793	302	77	)	)	PUNCT
ejpam-5793	302	78	exact	exact	ADJ
ejpam-5793	302	79	solution	solution	NOUN
ejpam-5793	302	80	numerical	numerical	ADJ
ejpam-5793	302	81	solution	solution	NOUN
ejpam-5793	302	82	figure	figure	NOUN
ejpam-5793	302	83	2	2	NUM
ejpam-5793	302	84	:	:	PUNCT
ejpam-5793	302	85	numerical	numerical	ADJ
ejpam-5793	302	86	and	and	CCONJ
ejpam-5793	302	87	exact	exact	ADJ
ejpam-5793	302	88	solution	solution	NOUN
ejpam-5793	302	89	for	for	ADP
ejpam-5793	302	90	η	η	PROPN
ejpam-5793	302	91	=	=	PROPN
ejpam-5793	302	92	0.7	0.7	NUM
ejpam-5793	302	93	(	(	PUNCT
ejpam-5793	302	94	left	left	ADJ
ejpam-5793	302	95	)	)	PUNCT
ejpam-5793	302	96	and	and	CCONJ
ejpam-5793	302	97	η	η	PROPN
ejpam-5793	302	98	=	=	SYM
ejpam-5793	302	99	1	1	NUM
ejpam-5793	302	100	(	(	PUNCT
ejpam-5793	302	101	right	right	NOUN
ejpam-5793	302	102	)	)	PUNCT
ejpam-5793	302	103	for	for	ADP
ejpam-5793	302	104	problem	problem	NOUN
ejpam-5793	302	105	5	5	NUM
ejpam-5793	302	106	.	.	PUNCT
ejpam-5793	302	107	initially	initially	ADV
ejpam-5793	302	108	,	,	PUNCT
ejpam-5793	302	109	examine	examine	VERB
ejpam-5793	302	110	the	the	DET
ejpam-5793	302	111	time	time	NOUN
ejpam-5793	302	112	-	-	PUNCT
ejpam-5793	302	113	fractional	fractional	ADJ
ejpam-5793	302	114	model	model	NOUN
ejpam-5793	302	115	described	describe	VERB
ejpam-5793	302	116	by	by	ADP
ejpam-5793	302	117	eq	eq	PROPN
ejpam-5793	302	118	.	.	PUNCT
ejpam-5793	303	1	(	(	PUNCT
ejpam-5793	303	2	14	14	NUM
ejpam-5793	303	3	)	)	PUNCT
ejpam-5793	303	4	,	,	PUNCT
ejpam-5793	303	5	focusing	focus	VERB
ejpam-5793	303	6	on	on	ADP
ejpam-5793	303	7	the	the	DET
ejpam-5793	303	8	butterfly	butterfly	NOUN
ejpam-5793	303	9	spread	spread	VERB
ejpam-5793	303	10	call	call	NOUN
ejpam-5793	303	11	option	option	NOUN
ejpam-5793	303	12	.	.	PUNCT
ejpam-5793	304	1	this	this	DET
ejpam-5793	304	2	option	option	NOUN
ejpam-5793	304	3	is	be	AUX
ejpam-5793	304	4	defined	define	VERB
ejpam-5793	304	5	by	by	ADP
ejpam-5793	304	6	three	three	NUM
ejpam-5793	304	7	strike	strike	NOUN
ejpam-5793	304	8	prices	price	NOUN
ejpam-5793	304	9	:	:	PUNCT
ejpam-5793	304	10	s1	s1	NOUN
ejpam-5793	304	11	,	,	PUNCT
ejpam-5793	304	12	s2	s2	NOUN
ejpam-5793	304	13	and	and	CCONJ
ejpam-5793	304	14	s3	s3	PROPN
ejpam-5793	304	15	where	where	SCONJ
ejpam-5793	304	16	s1	s1	PROPN
ejpam-5793	304	17	<	<	X
ejpam-5793	304	18	s2	s2	PROPN
ejpam-5793	304	19	<	<	X
ejpam-5793	304	20	s3	s3	PROPN
ejpam-5793	304	21	and	and	CCONJ
ejpam-5793	304	22	s2	s2	PROPN
ejpam-5793	305	1	=	=	PUNCT
ejpam-5793	305	2	s1+s2	s1+s2	NOUN
ejpam-5793	305	3	2	2	NUM
ejpam-5793	305	4	.	.	PUNCT
ejpam-5793	306	1	∂ηp	∂ηp	PROPN
ejpam-5793	306	2	∂t	∂t	PROPN
ejpam-5793	306	3	η	η	PROPN
ejpam-5793	306	4	=	=	PROPN
ejpam-5793	306	5	1	1	NUM
ejpam-5793	306	6	2	2	NUM
ejpam-5793	306	7	ς2a2	ς2a2	NOUN
ejpam-5793	306	8	∂	∂	NUM
ejpam-5793	306	9	2p	2p	NUM
ejpam-5793	306	10	∂a2	∂a2	VERB
ejpam-5793	306	11	+	+	CCONJ
ejpam-5793	306	12	ϵa∂p	ϵa∂p	PROPN
ejpam-5793	307	1	∂a	∂a	NUM
ejpam-5793	307	2	−	−	NOUN
ejpam-5793	307	3	ϵp	ϵp	ADP
ejpam-5793	307	4	,	,	PUNCT
ejpam-5793	307	5	(	(	PUNCT
ejpam-5793	307	6	a	a	PRON
ejpam-5793	307	7	,	,	PUNCT
ejpam-5793	307	8	t	t	NOUN
ejpam-5793	307	9	)	)	PUNCT
ejpam-5793	307	10	∈	∈	PROPN
ejpam-5793	307	11	(	(	PUNCT
ejpam-5793	307	12	0	0	NUM
ejpam-5793	307	13	,	,	PUNCT
ejpam-5793	307	14	br)×	br)×	ADJ
ejpam-5793	307	15	(	(	PUNCT
ejpam-5793	307	16	0	0	NUM
ejpam-5793	307	17	,	,	PUNCT
ejpam-5793	307	18	t	t	NOUN
ejpam-5793	307	19	)	)	PUNCT
ejpam-5793	307	20	,	,	PUNCT
ejpam-5793	307	21	p(0	p(0	PROPN
ejpam-5793	307	22	,	,	PUNCT
ejpam-5793	307	23	t	t	NOUN
ejpam-5793	307	24	)	)	PUNCT
ejpam-5793	308	1	=	=	SYM
ejpam-5793	308	2	0	0	NUM
ejpam-5793	308	3	,	,	PUNCT
ejpam-5793	308	4	p(br	p(br	PROPN
ejpam-5793	308	5	,	,	PUNCT
ejpam-5793	308	6	t	t	NOUN
ejpam-5793	308	7	)	)	PUNCT
ejpam-5793	308	8	=	=	SYM
ejpam-5793	308	9	0	0	NUM
ejpam-5793	308	10	,	,	PUNCT
ejpam-5793	308	11	p(a	p(a	NOUN
ejpam-5793	308	12	,	,	PUNCT
ejpam-5793	308	13	0	0	NUM
ejpam-5793	308	14	)	)	PUNCT
ejpam-5793	308	15	=	=	SYM
ejpam-5793	309	1	max(a−	max(a−	NOUN
ejpam-5793	309	2	s1	s1	NOUN
ejpam-5793	309	3	,	,	PUNCT
ejpam-5793	309	4	0)−	0)−	PROPN
ejpam-5793	309	5	2max(a−	2max(a−	NUM
ejpam-5793	309	6	s2	s2	PROPN
ejpam-5793	309	7	,	,	PUNCT
ejpam-5793	309	8	0	0	NUM
ejpam-5793	309	9	)	)	PUNCT
ejpam-5793	310	1	+	+	CCONJ
ejpam-5793	310	2	max(a−	max(a−	PROPN
ejpam-5793	310	3	s3	s3	PROPN
ejpam-5793	310	4	,	,	PUNCT
ejpam-5793	310	5	0	0	NUM
ejpam-5793	310	6	)	)	PUNCT
ejpam-5793	310	7	,	,	PUNCT
ejpam-5793	310	8	(	(	PUNCT
ejpam-5793	310	9	37	37	NUM
ejpam-5793	310	10	)	)	PUNCT
ejpam-5793	310	11	imtiaz	imtiaz	PROPN
ejpam-5793	310	12	ahmad	ahmad	PROPN
ejpam-5793	310	13	et	et	PROPN
ejpam-5793	310	14	al	al	PROPN
ejpam-5793	310	15	.	.	PUNCT
ejpam-5793	310	16	/	/	SYM
ejpam-5793	310	17	eur	eur	PROPN
ejpam-5793	310	18	.	.	PUNCT
ejpam-5793	311	1	j.	j.	PROPN
ejpam-5793	311	2	pure	pure	PROPN
ejpam-5793	311	3	appl	appl	PROPN
ejpam-5793	311	4	.	.	PROPN
ejpam-5793	311	5	math	math	PROPN
ejpam-5793	311	6	,	,	PUNCT
ejpam-5793	311	7	18	18	NUM
ejpam-5793	311	8	(	(	PUNCT
ejpam-5793	311	9	1	1	NUM
ejpam-5793	311	10	)	)	PUNCT
ejpam-5793	311	11	(	(	PUNCT
ejpam-5793	311	12	2025	2025	NUM
ejpam-5793	311	13	)	)	PUNCT
ejpam-5793	311	14	,	,	PUNCT
ejpam-5793	311	15	5793	5793	NUM
ejpam-5793	311	16	14	14	NUM
ejpam-5793	311	17	of	of	ADP
ejpam-5793	311	18	27	27	NUM
ejpam-5793	311	19	table	table	NOUN
ejpam-5793	311	20	1	1	NUM
ejpam-5793	311	21	:	:	PUNCT
ejpam-5793	311	22	comparative	comparative	ADJ
ejpam-5793	311	23	results	result	NOUN
ejpam-5793	311	24	of	of	ADP
ejpam-5793	311	25	the	the	DET
ejpam-5793	311	26	proposed	propose	VERB
ejpam-5793	311	27	approach	approach	NOUN
ejpam-5793	311	28	with	with	ADP
ejpam-5793	311	29	the	the	DET
ejpam-5793	311	30	lmcm	lmcm	NOUN
ejpam-5793	312	1	[	[	X
ejpam-5793	312	2	29	29	NUM
ejpam-5793	312	3	]	]	PUNCT
ejpam-5793	312	4	are	be	AUX
ejpam-5793	312	5	presented	present	VERB
ejpam-5793	312	6	using	use	VERB
ejpam-5793	312	7	l∞	l∞	NOUN
ejpam-5793	312	8	norms	norm	NOUN
ejpam-5793	312	9	for	for	ADP
ejpam-5793	312	10	problem	problem	NOUN
ejpam-5793	312	11	5	5	NUM
ejpam-5793	312	12	.	.	PUNCT
ejpam-5793	312	13	η	η	PROPN
ejpam-5793	312	14	method	method	PROPN
ejpam-5793	312	15	m	m	PROPN
ejpam-5793	312	16	=	=	NOUN
ejpam-5793	312	17	61	61	NUM
ejpam-5793	312	18	m	m	NOUN
ejpam-5793	312	19	=	=	NOUN
ejpam-5793	312	20	121	121	NUM
ejpam-5793	312	21	m	m	NOUN
ejpam-5793	312	22	=	=	PUNCT
ejpam-5793	312	23	241	241	NUM
ejpam-5793	312	24	m	m	NOUN
ejpam-5793	312	25	=	=	NUM
ejpam-5793	313	1	481	481	NUM
ejpam-5793	313	2	m	m	VERB
ejpam-5793	313	3	=	=	NOUN
ejpam-5793	313	4	961	961	NUM
ejpam-5793	313	5	0.3	0.3	NUM
ejpam-5793	313	6	lmcm	lmcm	NOUN
ejpam-5793	313	7	[	[	X
ejpam-5793	313	8	29	29	NUM
ejpam-5793	313	9	]	]	SYM
ejpam-5793	313	10	1.3954e−04	1.3954e−04	NUM
ejpam-5793	313	11	3.5386e−05	3.5386e−05	NUM
ejpam-5793	313	12	8.8776e−06	8.8776e−06	NUM
ejpam-5793	313	13	2.3228e−06	2.3228e−06	NUM
ejpam-5793	313	14	1.0259e−06	1.0259e−06	NUM
ejpam-5793	313	15	proposed	propose	VERB
ejpam-5793	313	16	method	method	NOUN
ejpam-5793	313	17	7.8320e−05	7.8320e−05	NUM
ejpam-5793	313	18	9.1639e−06	9.1639e−06	NUM
ejpam-5793	313	19	5.4617e−06	5.4617e−06	NUM
ejpam-5793	314	1	9.5813e−07	9.5813e−07	NUM
ejpam-5793	314	2	8.4187e−07	8.4187e−07	NUM
ejpam-5793	314	3	0.5	0.5	NUM
ejpam-5793	314	4	lmcm	lmcm	NOUN
ejpam-5793	314	5	[	[	X
ejpam-5793	314	6	29	29	NUM
ejpam-5793	314	7	]	]	SYM
ejpam-5793	314	8	1.2142e−04	1.2142e−04	NUM
ejpam-5793	314	9	3.0580e−05	3.0580e−05	NUM
ejpam-5793	314	10	7.6584e−06	7.6584e−06	NUM
ejpam-5793	314	11	2.0221e−06	2.0221e−06	NUM
ejpam-5793	314	12	9.7377e−07	9.7377e−07	NUM
ejpam-5793	314	13	proposed	propose	VERB
ejpam-5793	314	14	method	method	NOUN
ejpam-5793	314	15	7.8355e−05	7.8355e−05	NOUN
ejpam-5793	315	1	9.6832e−06	9.6832e−06	NUM
ejpam-5793	315	2	4.8274e−06	4.8274e−06	NUM
ejpam-5793	316	1	9.2025e−07	9.2025e−07	NUM
ejpam-5793	317	1	6.4002e−07	6.4002e−07	NUM
ejpam-5793	317	2	0.7	0.7	NUM
ejpam-5793	317	3	lmcm	lmcm	NOUN
ejpam-5793	317	4	[	[	X
ejpam-5793	317	5	29	29	NUM
ejpam-5793	317	6	]	]	SYM
ejpam-5793	317	7	8.7415e−05	8.7415e−05	PROPN
ejpam-5793	317	8	2.1697e−05	2.1697e−05	NUM
ejpam-5793	317	9	5.4133e−06	5.4133e−06	NUM
ejpam-5793	317	10	1.4676e−06	1.4676e−06	NUM
ejpam-5793	317	11	8.7138e−07	8.7138e−07	NUM
ejpam-5793	317	12	proposed	propose	VERB
ejpam-5793	317	13	method	method	NOUN
ejpam-5793	317	14	4.5277e−05	4.5277e−05	PROPN
ejpam-5793	317	15	8.1539e−06	8.1539e−06	NUM
ejpam-5793	317	16	1.7841e−06	1.7841e−06	NUM
ejpam-5793	317	17	8.4630e−07	8.4630e−07	NUM
ejpam-5793	317	18	6.2771e−07	6.2771e−07	NUM
ejpam-5793	317	19	0.9	0.9	NUM
ejpam-5793	317	20	lmcm	lmcm	NOUN
ejpam-5793	317	21	[	[	X
ejpam-5793	317	22	29	29	NUM
ejpam-5793	317	23	]	]	PUNCT
ejpam-5793	317	24	3.0188e−05	3.0188e−05	NUM
ejpam-5793	318	1	7.5350e−06	7.5350e−06	NUM
ejpam-5793	319	1	1.8837e−06	1.8837e−06	NUM
ejpam-5793	319	2	5.6087e−07	5.6087e−07	NUM
ejpam-5793	319	3	7.0604e−07	7.0604e−07	NUM
ejpam-5793	319	4	proposed	propose	VERB
ejpam-5793	319	5	method	method	NOUN
ejpam-5793	319	6	1.0605e−05	1.0605e−05	NUM
ejpam-5793	320	1	4.5635e−06	4.5635e−06	NUM
ejpam-5793	320	2	8.2638e−07	8.2638e−07	NUM
ejpam-5793	320	3	4.0256e−07	4.0256e−07	NUM
ejpam-5793	320	4	5.8730e−07	5.8730e−07	NUM
ejpam-5793	320	5	where	where	SCONJ
ejpam-5793	320	6	strike	strike	NOUN
ejpam-5793	320	7	prices	price	NOUN
ejpam-5793	320	8	s1	s1	NOUN
ejpam-5793	320	9	=	=	SYM
ejpam-5793	320	10	0.4	0.4	NUM
ejpam-5793	320	11	,	,	PUNCT
ejpam-5793	320	12	s2	s2	X
ejpam-5793	320	13	=	=	NUM
ejpam-5793	320	14	0.5	0.5	NUM
ejpam-5793	320	15	,	,	PUNCT
ejpam-5793	320	16	s3	s3	PROPN
ejpam-5793	320	17	=	=	X
ejpam-5793	320	18	0.6	0.6	NUM
ejpam-5793	320	19	,	,	PUNCT
ejpam-5793	320	20	ϵ	ϵ	X
ejpam-5793	320	21	=	=	SYM
ejpam-5793	320	22	0.1	0.1	NUM
ejpam-5793	320	23	,	,	PUNCT
ejpam-5793	320	24	ς	ς	PROPN
ejpam-5793	320	25	=	=	SYM
ejpam-5793	320	26	0.5	0.5	NUM
ejpam-5793	320	27	and	and	CCONJ
ejpam-5793	320	28	t	t	NOUN
ejpam-5793	320	29	=	=	SYM
ejpam-5793	320	30	1	1	NUM
ejpam-5793	320	31	(	(	PUNCT
ejpam-5793	320	32	year	year	NOUN
ejpam-5793	320	33	)	)	PUNCT
ejpam-5793	320	34	are	be	AUX
ejpam-5793	320	35	the	the	DET
ejpam-5793	320	36	parameters	parameter	NOUN
ejpam-5793	320	37	values	value	NOUN
ejpam-5793	320	38	according	accord	VERB
ejpam-5793	320	39	to	to	ADP
ejpam-5793	320	40	[	[	X
ejpam-5793	320	41	44	44	NUM
ejpam-5793	320	42	]	]	PUNCT
ejpam-5793	320	43	.	.	PUNCT
ejpam-5793	321	1	using	use	VERB
ejpam-5793	321	2	a	a	DET
ejpam-5793	321	3	double	double	ADJ
ejpam-5793	321	4	mesh	mesh	NOUN
ejpam-5793	321	5	approach	approach	NOUN
ejpam-5793	321	6	for	for	ADP
ejpam-5793	321	7	problem	problem	NOUN
ejpam-5793	321	8	5	5	NUM
ejpam-5793	321	9	,	,	PUNCT
ejpam-5793	321	10	the	the	DET
ejpam-5793	321	11	findings	finding	NOUN
ejpam-5793	321	12	shown	show	VERB
ejpam-5793	321	13	in	in	ADP
ejpam-5793	321	14	table	table	NOUN
ejpam-5793	321	15	1	1	NUM
ejpam-5793	321	16	contrast	contrast	NOUN
ejpam-5793	321	17	the	the	DET
ejpam-5793	321	18	suggested	suggested	ADJ
ejpam-5793	321	19	approach	approach	NOUN
ejpam-5793	321	20	with	with	ADP
ejpam-5793	321	21	the	the	DET
ejpam-5793	321	22	lmcm	lmcm	NOUN
ejpam-5793	321	23	[	[	X
ejpam-5793	321	24	29	29	NUM
ejpam-5793	321	25	]	]	PUNCT
ejpam-5793	321	26	,	,	PUNCT
ejpam-5793	321	27	emphasizing	emphasize	VERB
ejpam-5793	321	28	the	the	DET
ejpam-5793	321	29	maximum	maximum	ADJ
ejpam-5793	321	30	error	error	NOUN
ejpam-5793	321	31	at	at	ADP
ejpam-5793	321	32	different	different	ADJ
ejpam-5793	321	33	η	η	PROPN
ejpam-5793	321	34	values	value	NOUN
ejpam-5793	321	35	.	.	PUNCT
ejpam-5793	322	1	the	the	DET
ejpam-5793	322	2	accuracy	accuracy	NOUN
ejpam-5793	322	3	of	of	ADP
ejpam-5793	322	4	the	the	DET
ejpam-5793	322	5	proposed	propose	VERB
ejpam-5793	322	6	method	method	NOUN
ejpam-5793	322	7	improves	improve	VERB
ejpam-5793	322	8	as	as	ADP
ejpam-5793	322	9	the	the	DET
ejpam-5793	322	10	number	number	NOUN
ejpam-5793	322	11	of	of	ADP
ejpam-5793	322	12	nodal	nodal	NOUN
ejpam-5793	322	13	points	point	NOUN
ejpam-5793	322	14	increases	increase	NOUN
ejpam-5793	322	15	,	,	PUNCT
ejpam-5793	322	16	producing	produce	VERB
ejpam-5793	322	17	results	result	NOUN
ejpam-5793	322	18	that	that	PRON
ejpam-5793	322	19	surpass	surpass	VERB
ejpam-5793	322	20	those	those	PRON
ejpam-5793	322	21	reported	report	VERB
ejpam-5793	322	22	in	in	ADP
ejpam-5793	322	23	[	[	X
ejpam-5793	322	24	29	29	NUM
ejpam-5793	322	25	]	]	PUNCT
ejpam-5793	322	26	.	.	PUNCT
ejpam-5793	323	1	figure	figure	NOUN
ejpam-5793	323	2	3	3	NUM
ejpam-5793	323	3	illustrates	illustrate	VERB
ejpam-5793	323	4	the	the	DET
ejpam-5793	323	5	outcomes	outcome	NOUN
ejpam-5793	323	6	of	of	ADP
ejpam-5793	323	7	the	the	DET
ejpam-5793	323	8	proposed	propose	VERB
ejpam-5793	323	9	approach	approach	NOUN
ejpam-5793	323	10	for	for	ADP
ejpam-5793	323	11	different	different	ADJ
ejpam-5793	323	12	fractional	fractional	ADJ
ejpam-5793	323	13	order	order	NOUN
ejpam-5793	323	14	values	value	NOUN
ejpam-5793	323	15	of	of	ADP
ejpam-5793	323	16	η	η	PROPN
ejpam-5793	323	17	.	.	PROPN
ejpam-5793	324	1	it	it	PRON
ejpam-5793	324	2	indicates	indicate	VERB
ejpam-5793	324	3	that	that	SCONJ
ejpam-5793	324	4	when	when	SCONJ
ejpam-5793	324	5	the	the	DET
ejpam-5793	324	6	asset	asset	NOUN
ejpam-5793	324	7	price	price	NOUN
ejpam-5793	324	8	a	a	PRON
ejpam-5793	324	9	is	be	AUX
ejpam-5793	324	10	near	near	ADP
ejpam-5793	324	11	the	the	DET
ejpam-5793	324	12	strike	strike	NOUN
ejpam-5793	324	13	prices	price	NOUN
ejpam-5793	324	14	s1	s1	NOUN
ejpam-5793	324	15	and	and	CCONJ
ejpam-5793	324	16	s3	s3	PROPN
ejpam-5793	324	17	,	,	PUNCT
ejpam-5793	324	18	the	the	DET
ejpam-5793	324	19	model	model	NOUN
ejpam-5793	324	20	tends	tend	VERB
ejpam-5793	324	21	to	to	PART
ejpam-5793	324	22	yield	yield	VERB
ejpam-5793	324	23	lower	low	ADJ
ejpam-5793	324	24	option	option	NOUN
ejpam-5793	324	25	prices	price	NOUN
ejpam-5793	324	26	;	;	PUNCT
ejpam-5793	324	27	conversely	conversely	ADV
ejpam-5793	324	28	,	,	PUNCT
ejpam-5793	324	29	higher	high	ADJ
ejpam-5793	324	30	prices	price	NOUN
ejpam-5793	324	31	are	be	AUX
ejpam-5793	324	32	observed	observe	VERB
ejpam-5793	324	33	when	when	SCONJ
ejpam-5793	324	34	a	a	PRON
ejpam-5793	324	35	is	be	AUX
ejpam-5793	324	36	close	close	ADJ
ejpam-5793	324	37	to	to	ADP
ejpam-5793	324	38	the	the	DET
ejpam-5793	324	39	strike	strike	NOUN
ejpam-5793	324	40	price	price	NOUN
ejpam-5793	324	41	s2	s2	PROPN
ejpam-5793	324	42	.	.	PUNCT
ejpam-5793	325	1	this	this	PRON
ejpam-5793	325	2	suggests	suggest	VERB
ejpam-5793	325	3	that	that	SCONJ
ejpam-5793	325	4	the	the	DET
ejpam-5793	325	5	time	time	NOUN
ejpam-5793	325	6	-	-	PUNCT
ejpam-5793	325	7	fractional	fractional	ADJ
ejpam-5793	325	8	black	black	ADJ
ejpam-5793	325	9	-	-	PUNCT
ejpam-5793	325	10	scholes	schole	NOUN
ejpam-5793	325	11	process	process	NOUN
ejpam-5793	325	12	provides	provide	VERB
ejpam-5793	325	13	a	a	DET
ejpam-5793	325	14	more	more	ADV
ejpam-5793	325	15	realistic	realistic	ADJ
ejpam-5793	325	16	portrayal	portrayal	NOUN
ejpam-5793	325	17	of	of	ADP
ejpam-5793	325	18	the	the	DET
ejpam-5793	325	19	characteristics	characteristic	NOUN
ejpam-5793	325	20	associated	associate	VERB
ejpam-5793	325	21	with	with	ADP
ejpam-5793	325	22	significant	significant	ADJ
ejpam-5793	325	23	price	price	NOUN
ejpam-5793	325	24	movements	movement	NOUN
ejpam-5793	325	25	compared	compare	VERB
ejpam-5793	325	26	to	to	ADP
ejpam-5793	325	27	the	the	DET
ejpam-5793	325	28	traditional	traditional	ADJ
ejpam-5793	325	29	integer	integer	NOUN
ejpam-5793	325	30	-	-	PUNCT
ejpam-5793	325	31	order	order	NOUN
ejpam-5793	325	32	black	black	ADJ
ejpam-5793	325	33	-	-	PUNCT
ejpam-5793	325	34	scholes	schole	NOUN
ejpam-5793	325	35	model	model	NOUN
ejpam-5793	325	36	.	.	PUNCT
ejpam-5793	326	1	additionally	additionally	ADV
ejpam-5793	326	2	,	,	PUNCT
ejpam-5793	326	3	figure	figure	VERB
ejpam-5793	326	4	4	4	NUM
ejpam-5793	326	5	displays	display	VERB
ejpam-5793	326	6	the	the	DET
ejpam-5793	326	7	solution	solution	NOUN
ejpam-5793	326	8	of	of	ADP
ejpam-5793	326	9	the	the	DET
ejpam-5793	326	10	butterfly	butterfly	NOUN
ejpam-5793	326	11	spread	spread	VERB
ejpam-5793	326	12	option	option	NOUN
ejpam-5793	326	13	in	in	ADP
ejpam-5793	326	14	term	term	NOUN
ejpam-5793	326	15	of	of	ADP
ejpam-5793	326	16	asset	asset	NOUN
ejpam-5793	326	17	(	(	PUNCT
ejpam-5793	326	18	a	a	NOUN
ejpam-5793	326	19	)	)	PUNCT
ejpam-5793	326	20	,	,	PUNCT
ejpam-5793	326	21	time	time	NOUN
ejpam-5793	326	22	t	t	PROPN
ejpam-5793	326	23	versus	versus	ADP
ejpam-5793	326	24	option	option	NOUN
ejpam-5793	326	25	pricing	pricing	NOUN
ejpam-5793	326	26	value	value	NOUN
ejpam-5793	326	27	for	for	ADP
ejpam-5793	326	28	fractional	fractional	ADJ
ejpam-5793	326	29	orders	order	NOUN
ejpam-5793	326	30	η	η	NOUN
ejpam-5793	326	31	=	=	PROPN
ejpam-5793	326	32	0.3	0.3	NUM
ejpam-5793	326	33	and	and	CCONJ
ejpam-5793	326	34	η	η	PROPN
ejpam-5793	326	35	=	=	PROPN
ejpam-5793	326	36	0.7	0.7	NUM
ejpam-5793	326	37	.	.	PUNCT
ejpam-5793	327	1	furthermore	furthermore	ADV
ejpam-5793	327	2	,	,	PUNCT
ejpam-5793	327	3	we	we	PRON
ejpam-5793	327	4	compute	compute	VERB
ejpam-5793	327	5	the	the	DET
ejpam-5793	327	6	gamma	gamma	NOUN
ejpam-5793	327	7	of	of	ADP
ejpam-5793	327	8	the	the	DET
ejpam-5793	327	9	options	option	NOUN
ejpam-5793	327	10	portfolio	portfolio	NOUN
ejpam-5793	327	11	,	,	PUNCT
ejpam-5793	327	12	which	which	PRON
ejpam-5793	327	13	reflects	reflect	VERB
ejpam-5793	327	14	how	how	SCONJ
ejpam-5793	327	15	the	the	DET
ejpam-5793	327	16	delta	delta	NOUN
ejpam-5793	327	17	of	of	ADP
ejpam-5793	327	18	the	the	DET
ejpam-5793	327	19	portfolio	portfolio	NOUN
ejpam-5793	327	20	changes	change	VERB
ejpam-5793	327	21	in	in	ADP
ejpam-5793	327	22	response	response	NOUN
ejpam-5793	327	23	to	to	ADP
ejpam-5793	327	24	fluctuations	fluctuation	NOUN
ejpam-5793	327	25	in	in	ADP
ejpam-5793	327	26	the	the	DET
ejpam-5793	327	27	underlying	underlie	VERB
ejpam-5793	327	28	asset	asset	NOUN
ejpam-5793	327	29	price	price	NOUN
ejpam-5793	327	30	,	,	PUNCT
ejpam-5793	327	31	along	along	ADP
ejpam-5793	327	32	with	with	ADP
ejpam-5793	327	33	the	the	DET
ejpam-5793	327	34	delta	delta	NOUN
ejpam-5793	327	35	of	of	ADP
ejpam-5793	327	36	an	an	DET
ejpam-5793	327	37	option	option	NOUN
ejpam-5793	327	38	itself	itself	PRON
ejpam-5793	327	39	,	,	PUNCT
ejpam-5793	327	40	which	which	PRON
ejpam-5793	327	41	measures	measure	VERB
ejpam-5793	327	42	the	the	DET
ejpam-5793	327	43	sensitivity	sensitivity	NOUN
ejpam-5793	327	44	of	of	ADP
ejpam-5793	327	45	the	the	DET
ejpam-5793	327	46	option	option	NOUN
ejpam-5793	327	47	’s	’s	PART
ejpam-5793	327	48	value	value	NOUN
ejpam-5793	327	49	to	to	ADP
ejpam-5793	327	50	shifts	shift	NOUN
ejpam-5793	327	51	in	in	ADP
ejpam-5793	327	52	the	the	DET
ejpam-5793	327	53	asset	asset	NOUN
ejpam-5793	327	54	price	price	NOUN
ejpam-5793	327	55	.	.	PUNCT
ejpam-5793	328	1	the	the	DET
ejpam-5793	328	2	numerical	numerical	ADJ
ejpam-5793	328	3	values	value	NOUN
ejpam-5793	328	4	of	of	ADP
ejpam-5793	328	5	delta	delta	NOUN
ejpam-5793	328	6	and	and	CCONJ
ejpam-5793	328	7	gamma	gamma	NOUN
ejpam-5793	328	8	for	for	ADP
ejpam-5793	328	9	the	the	DET
ejpam-5793	328	10	butterfly	butterfly	NOUN
ejpam-5793	328	11	spread	spread	VERB
ejpam-5793	328	12	option	option	NOUN
ejpam-5793	328	13	across	across	ADP
ejpam-5793	328	14	a	a	DET
ejpam-5793	328	15	range	range	NOUN
ejpam-5793	328	16	of	of	ADP
ejpam-5793	328	17	η	η	PROPN
ejpam-5793	328	18	values	value	NOUN
ejpam-5793	328	19	are	be	AUX
ejpam-5793	328	20	shown	show	VERB
ejpam-5793	328	21	in	in	ADP
ejpam-5793	328	22	figure	figure	NOUN
ejpam-5793	328	23	5	5	NUM
ejpam-5793	328	24	.	.	PUNCT
ejpam-5793	328	25	examine	examine	VERB
ejpam-5793	328	26	the	the	DET
ejpam-5793	328	27	model	model	NOUN
ejpam-5793	328	28	represented	represent	VERB
ejpam-5793	328	29	by	by	ADP
ejpam-5793	328	30	eq	eq	PROPN
ejpam-5793	328	31	.	.	PUNCT
ejpam-5793	329	1	(	(	PUNCT
ejpam-5793	329	2	14	14	NUM
ejpam-5793	329	3	)	)	PUNCT
ejpam-5793	329	4	,	,	PUNCT
ejpam-5793	329	5	which	which	PRON
ejpam-5793	329	6	involves	involve	VERB
ejpam-5793	329	7	a	a	DET
ejpam-5793	329	8	digital	digital	ADJ
ejpam-5793	329	9	call	call	NOUN
ejpam-5793	329	10	or	or	CCONJ
ejpam-5793	329	11	cash	cash	NOUN
ejpam-5793	329	12	-	-	PUNCT
ejpam-5793	329	13	ornothing	ornothe	VERB
ejpam-5793	329	14	call	call	NOUN
ejpam-5793	329	15	option	option	NOUN
ejpam-5793	329	16	.	.	PUNCT
ejpam-5793	330	1	∂ηp	∂ηp	PROPN
ejpam-5793	330	2	∂t	∂t	PROPN
ejpam-5793	330	3	η	η	PROPN
ejpam-5793	330	4	=	=	PROPN
ejpam-5793	330	5	1	1	NUM
ejpam-5793	330	6	2	2	NUM
ejpam-5793	330	7	ς2a2	ς2a2	NOUN
ejpam-5793	330	8	∂	∂	NUM
ejpam-5793	330	9	2p	2p	NUM
ejpam-5793	330	10	∂a2	∂a2	VERB
ejpam-5793	330	11	+	+	CCONJ
ejpam-5793	331	1	ϵa∂p	ϵa∂p	PROPN
ejpam-5793	331	2	∂a	∂a	NUM
ejpam-5793	331	3	−	−	NOUN
ejpam-5793	331	4	ϵp	ϵp	ADP
ejpam-5793	331	5	,	,	PUNCT
ejpam-5793	331	6	(	(	PUNCT
ejpam-5793	331	7	a	a	PRON
ejpam-5793	331	8	,	,	PUNCT
ejpam-5793	331	9	t	t	NOUN
ejpam-5793	331	10	)	)	PUNCT
ejpam-5793	331	11	∈	∈	PROPN
ejpam-5793	331	12	(	(	PUNCT
ejpam-5793	331	13	0	0	NUM
ejpam-5793	331	14	,	,	PUNCT
ejpam-5793	331	15	bϵ)×	bϵ)×	NOUN
ejpam-5793	331	16	(	(	PUNCT
ejpam-5793	331	17	0	0	NUM
ejpam-5793	331	18	,	,	PUNCT
ejpam-5793	331	19	t	t	NOUN
ejpam-5793	331	20	)	)	PUNCT
ejpam-5793	331	21	,	,	PUNCT
ejpam-5793	331	22	(	(	PUNCT
ejpam-5793	331	23	38	38	NUM
ejpam-5793	331	24	)	)	PUNCT
ejpam-5793	331	25	with	with	ADP
ejpam-5793	331	26	payoff	payoff	NOUN
ejpam-5793	331	27	function	function	NOUN
ejpam-5793	331	28	boundary	boundary	ADJ
ejpam-5793	331	29	conditions	condition	NOUN
ejpam-5793	331	30	:	:	PUNCT
ejpam-5793	331	31	p(a	p(a	PROPN
ejpam-5793	331	32	,	,	PUNCT
ejpam-5793	331	33	t	t	PROPN
ejpam-5793	331	34	)	)	PUNCT
ejpam-5793	331	35	=	=	PUNCT
ejpam-5793	332	1			NOUN
ejpam-5793	332	2	0	0	NUM
ejpam-5793	332	3	for	for	ADP
ejpam-5793	332	4	a	a	DET
ejpam-5793	332	5	<	<	X
ejpam-5793	332	6	s	s	PROPN
ejpam-5793	332	7	,	,	PUNCT
ejpam-5793	332	8	0.5	0.5	NUM
ejpam-5793	332	9	for	for	ADP
ejpam-5793	332	10	a	a	DET
ejpam-5793	332	11	=	=	SYM
ejpam-5793	332	12	s	s	NOUN
ejpam-5793	332	13	,	,	PUNCT
ejpam-5793	332	14	1	1	NUM
ejpam-5793	332	15	for	for	ADP
ejpam-5793	332	16	a	a	DET
ejpam-5793	332	17	>	>	X
ejpam-5793	332	18	s.	s.	PROPN
ejpam-5793	332	19	(	(	PUNCT
ejpam-5793	332	20	39	39	NUM
ejpam-5793	332	21	)	)	PUNCT
ejpam-5793	332	22	imtiaz	imtiaz	PROPN
ejpam-5793	332	23	ahmad	ahmad	PROPN
ejpam-5793	332	24	et	et	PROPN
ejpam-5793	332	25	al	al	PROPN
ejpam-5793	332	26	.	.	PUNCT
ejpam-5793	332	27	/	/	SYM
ejpam-5793	332	28	eur	eur	PROPN
ejpam-5793	332	29	.	.	PUNCT
ejpam-5793	333	1	j.	j.	PROPN
ejpam-5793	333	2	pure	pure	PROPN
ejpam-5793	333	3	appl	appl	PROPN
ejpam-5793	333	4	.	.	PROPN
ejpam-5793	333	5	math	math	PROPN
ejpam-5793	333	6	,	,	PUNCT
ejpam-5793	333	7	18	18	NUM
ejpam-5793	333	8	(	(	PUNCT
ejpam-5793	333	9	1	1	NUM
ejpam-5793	333	10	)	)	PUNCT
ejpam-5793	333	11	(	(	PUNCT
ejpam-5793	333	12	2025	2025	NUM
ejpam-5793	333	13	)	)	PUNCT
ejpam-5793	333	14	,	,	PUNCT
ejpam-5793	333	15	5793	5793	NUM
ejpam-5793	333	16	15	15	NUM
ejpam-5793	333	17	of	of	ADP
ejpam-5793	333	18	27	27	NUM
ejpam-5793	333	19	0	0	NUM
ejpam-5793	333	20	0.2	0.2	NUM
ejpam-5793	333	21	0.4	0.4	NUM
ejpam-5793	333	22	0.6	0.6	NUM
ejpam-5793	333	23	0.8	0.8	NUM
ejpam-5793	333	24	1	1	NUM
ejpam-5793	333	25	0	0	NUM
ejpam-5793	333	26	0.005	0.005	NUM
ejpam-5793	333	27	0.01	0.01	NUM
ejpam-5793	333	28	0.015	0.015	NUM
ejpam-5793	333	29	0.02	0.02	NUM
ejpam-5793	333	30	0.025	0.025	NUM
ejpam-5793	333	31	a	a	DET
ejpam-5793	333	32	o	o	NOUN
ejpam-5793	333	33	p	p	X
ejpam-5793	333	34	ti	ti	NOUN
ejpam-5793	333	35	o	o	NOUN
ejpam-5793	333	36	n	n	PROPN
ejpam-5793	333	37	v	v	NOUN
ejpam-5793	333	38	a	a	DET
ejpam-5793	333	39	lu	lu	NOUN
ejpam-5793	333	40	e	e	NOUN
ejpam-5793	333	41	η	η	PROPN
ejpam-5793	333	42	=	=	PROPN
ejpam-5793	333	43	1	1	NUM
ejpam-5793	333	44	η	η	NOUN
ejpam-5793	333	45	=	=	PROPN
ejpam-5793	333	46	0.7	0.7	NUM
ejpam-5793	333	47	η	η	NOUN
ejpam-5793	333	48	=	=	SYM
ejpam-5793	333	49	0.5	0.5	NUM
ejpam-5793	333	50	η	η	X
ejpam-5793	333	51	=	=	SYM
ejpam-5793	333	52	0.3	0.3	NUM
ejpam-5793	333	53	figure	figure	NOUN
ejpam-5793	333	54	3	3	NUM
ejpam-5793	333	55	:	:	PUNCT
ejpam-5793	333	56	numerical	numerical	ADJ
ejpam-5793	333	57	solution	solution	NOUN
ejpam-5793	333	58	of	of	ADP
ejpam-5793	333	59	the	the	DET
ejpam-5793	333	60	fractional	fractional	ADJ
ejpam-5793	333	61	-	-	PUNCT
ejpam-5793	333	62	order	order	NOUN
ejpam-5793	333	63	η	η	PROPN
ejpam-5793	333	64	butterfly	butterfly	NOUN
ejpam-5793	333	65	spread	spread	VERB
ejpam-5793	333	66	option	option	NOUN
ejpam-5793	333	67	for	for	ADP
ejpam-5793	333	68	problem	problem	NOUN
ejpam-5793	333	69	5	5	NUM
ejpam-5793	333	70	.	.	NOUN
ejpam-5793	333	71	0	0	NUM
ejpam-5793	334	1	0.2	0.2	NUM
ejpam-5793	334	2	0.4	0.4	NUM
ejpam-5793	334	3	0.6	0.6	NUM
ejpam-5793	334	4	0.8	0.8	NUM
ejpam-5793	334	5	1	1	NUM
ejpam-5793	334	6	0	0	NUM
ejpam-5793	334	7	0.5	0.5	NUM
ejpam-5793	334	8	1	1	NUM
ejpam-5793	334	9	0	0	NUM
ejpam-5793	334	10	0.02	0.02	NUM
ejpam-5793	334	11	0.04	0.04	NUM
ejpam-5793	334	12	0.06	0.06	NUM
ejpam-5793	334	13	0.08	0.08	NUM
ejpam-5793	334	14	at	at	ADP
ejpam-5793	334	15	o	o	PROPN
ejpam-5793	334	16	p	p	X
ejpam-5793	334	17	ti	ti	X
ejpam-5793	334	18	o	o	NOUN
ejpam-5793	334	19	n	n	CCONJ
ejpam-5793	334	20	p	p	X
ejpam-5793	334	21	ri	ri	PROPN
ejpam-5793	334	22	ce	ce	PROPN
ejpam-5793	334	23	0	0	PROPN
ejpam-5793	335	1	0.2	0.2	NUM
ejpam-5793	335	2	0.4	0.4	NUM
ejpam-5793	335	3	0.6	0.6	NUM
ejpam-5793	335	4	0.8	0.8	NUM
ejpam-5793	335	5	1	1	NUM
ejpam-5793	335	6	0	0	NUM
ejpam-5793	335	7	0.5	0.5	NUM
ejpam-5793	335	8	1	1	NUM
ejpam-5793	335	9	0	0	NUM
ejpam-5793	335	10	0.02	0.02	NUM
ejpam-5793	335	11	0.04	0.04	NUM
ejpam-5793	335	12	0.06	0.06	NUM
ejpam-5793	335	13	0.08	0.08	NUM
ejpam-5793	335	14	at	at	ADP
ejpam-5793	335	15	o	o	PROPN
ejpam-5793	335	16	p	p	X
ejpam-5793	335	17	ti	ti	X
ejpam-5793	335	18	o	o	NOUN
ejpam-5793	335	19	n	n	CCONJ
ejpam-5793	335	20	p	p	PROPN
ejpam-5793	335	21	ri	ri	PROPN
ejpam-5793	335	22	ce	ce	PROPN
ejpam-5793	335	23	figure	figure	NOUN
ejpam-5793	335	24	4	4	NUM
ejpam-5793	335	25	:	:	PUNCT
ejpam-5793	335	26	numerical	numerical	ADJ
ejpam-5793	335	27	solution	solution	NOUN
ejpam-5793	335	28	of	of	ADP
ejpam-5793	335	29	the	the	DET
ejpam-5793	335	30	butterfly	butterfly	NOUN
ejpam-5793	335	31	spread	spread	VERB
ejpam-5793	335	32	option	option	NOUN
ejpam-5793	335	33	for	for	ADP
ejpam-5793	335	34	fractional	fractional	ADJ
ejpam-5793	335	35	orders	order	NOUN
ejpam-5793	335	36	η	η	NOUN
ejpam-5793	335	37	=	=	SYM
ejpam-5793	335	38	0.3	0.3	NUM
ejpam-5793	335	39	(	(	PUNCT
ejpam-5793	335	40	left	left	ADJ
ejpam-5793	335	41	)	)	PUNCT
ejpam-5793	335	42	and	and	CCONJ
ejpam-5793	335	43	η	η	PROPN
ejpam-5793	335	44	=	=	SYM
ejpam-5793	335	45	0.7	0.7	NUM
ejpam-5793	335	46	(	(	PUNCT
ejpam-5793	335	47	right	right	ADJ
ejpam-5793	335	48	)	)	PUNCT
ejpam-5793	335	49	in	in	ADP
ejpam-5793	335	50	problem	problem	NOUN
ejpam-5793	335	51	5	5	NUM
ejpam-5793	335	52	.	.	NOUN
ejpam-5793	336	1	v	v	X
ejpam-5793	336	2	(	(	PUNCT
ejpam-5793	336	3	a	a	PRON
ejpam-5793	336	4	,	,	PUNCT
ejpam-5793	336	5	0	0	NUM
ejpam-5793	336	6	)	)	PUNCT
ejpam-5793	336	7	=	=	PRON
ejpam-5793	336	8	{	{	PUNCT
ejpam-5793	336	9	0	0	NUM
ejpam-5793	336	10	for	for	ADP
ejpam-5793	336	11	a	a	DET
ejpam-5793	336	12	=	=	SYM
ejpam-5793	336	13	0	0	NUM
ejpam-5793	336	14	,	,	PUNCT
ejpam-5793	336	15	e−r(t−t	e−r(t−t	NOUN
ejpam-5793	336	16	)	)	PUNCT
ejpam-5793	336	17	for	for	ADP
ejpam-5793	336	18	a	a	DET
ejpam-5793	336	19	→	→	SYM
ejpam-5793	336	20	∞	∞	PROPN
ejpam-5793	336	21	,	,	PUNCT
ejpam-5793	336	22	(	(	PUNCT
ejpam-5793	336	23	40	40	NUM
ejpam-5793	336	24	)	)	PUNCT
ejpam-5793	336	25	where	where	SCONJ
ejpam-5793	336	26	the	the	DET
ejpam-5793	336	27	parameters	parameter	NOUN
ejpam-5793	336	28	ϵ	ϵ	X
ejpam-5793	336	29	=	=	SYM
ejpam-5793	336	30	0.05	0.05	NUM
ejpam-5793	336	31	,	,	PUNCT
ejpam-5793	336	32	s	s	PART
ejpam-5793	336	33	=	=	NOUN
ejpam-5793	336	34	0.5	0.5	NUM
ejpam-5793	336	35	,	,	PUNCT
ejpam-5793	336	36	ς	ς	PROPN
ejpam-5793	336	37	=	=	PROPN
ejpam-5793	336	38	0.2	0.2	NUM
ejpam-5793	336	39	,	,	PUNCT
ejpam-5793	336	40	and	and	CCONJ
ejpam-5793	336	41	t	t	X
ejpam-5793	336	42	=	=	SYM
ejpam-5793	336	43	1	1	NUM
ejpam-5793	336	44	(	(	PUNCT
ejpam-5793	336	45	year	year	NOUN
ejpam-5793	336	46	)	)	PUNCT
ejpam-5793	337	1	[	[	X
ejpam-5793	337	2	44	44	NUM
ejpam-5793	337	3	]	]	PUNCT
ejpam-5793	337	4	.	.	PUNCT
ejpam-5793	338	1	the	the	DET
ejpam-5793	338	2	results	result	NOUN
ejpam-5793	338	3	obtained	obtain	VERB
ejpam-5793	338	4	from	from	ADP
ejpam-5793	338	5	applying	apply	VERB
ejpam-5793	338	6	the	the	DET
ejpam-5793	338	7	double	double	ADJ
ejpam-5793	338	8	mesh	mesh	NOUN
ejpam-5793	338	9	method	method	NOUN
ejpam-5793	338	10	to	to	PART
ejpam-5793	338	11	problem	problem	VERB
ejpam-5793	338	12	5	5	NUM
ejpam-5793	338	13	and	and	CCONJ
ejpam-5793	338	14	comparing	compare	VERB
ejpam-5793	338	15	them	they	PRON
ejpam-5793	338	16	with	with	ADP
ejpam-5793	338	17	those	those	PRON
ejpam-5793	338	18	from	from	ADP
ejpam-5793	338	19	the	the	DET
ejpam-5793	338	20	lmcm	lmcm	NOUN
ejpam-5793	338	21	[	[	X
ejpam-5793	338	22	29	29	NUM
ejpam-5793	338	23	]	]	PUNCT
ejpam-5793	338	24	are	be	AUX
ejpam-5793	338	25	presented	present	VERB
ejpam-5793	338	26	in	in	ADP
ejpam-5793	338	27	table	table	NOUN
ejpam-5793	338	28	2	2	NUM
ejpam-5793	338	29	for	for	ADP
ejpam-5793	338	30	different	different	ADJ
ejpam-5793	338	31	fractional	fractional	ADJ
ejpam-5793	338	32	orders	order	NOUN
ejpam-5793	338	33	η	η	PROPN
ejpam-5793	338	34	.	.	PUNCT
ejpam-5793	339	1	the	the	DET
ejpam-5793	339	2	data	datum	NOUN
ejpam-5793	339	3	indicate	indicate	VERB
ejpam-5793	339	4	that	that	SCONJ
ejpam-5793	339	5	the	the	DET
ejpam-5793	339	6	proposed	propose	VERB
ejpam-5793	339	7	method	method	NOUN
ejpam-5793	339	8	outperforms	outperform	VERB
ejpam-5793	339	9	the	the	DET
ejpam-5793	339	10	lmcm	lmcm	NOUN
ejpam-5793	339	11	[	[	X
ejpam-5793	339	12	29	29	NUM
ejpam-5793	339	13	]	]	PUNCT
ejpam-5793	339	14	,	,	PUNCT
ejpam-5793	339	15	as	as	SCONJ
ejpam-5793	339	16	reflected	reflect	VERB
ejpam-5793	339	17	in	in	ADP
ejpam-5793	339	18	the	the	DET
ejpam-5793	339	19	table	table	NOUN
ejpam-5793	339	20	.	.	PUNCT
ejpam-5793	340	1	furthermore	furthermore	ADV
ejpam-5793	340	2	,	,	PUNCT
ejpam-5793	340	3	the	the	DET
ejpam-5793	340	4	accuracy	accuracy	NOUN
ejpam-5793	340	5	improves	improve	VERB
ejpam-5793	340	6	with	with	ADP
ejpam-5793	340	7	an	an	DET
ejpam-5793	340	8	increasing	increase	VERB
ejpam-5793	340	9	number	number	NOUN
ejpam-5793	340	10	of	of	ADP
ejpam-5793	340	11	nodes	node	NOUN
ejpam-5793	340	12	.	.	PUNCT
ejpam-5793	341	1	figure	figure	NOUN
ejpam-5793	341	2	6	6	NUM
ejpam-5793	341	3	displays	display	VERB
ejpam-5793	341	4	the	the	DET
ejpam-5793	341	5	option	option	NOUN
ejpam-5793	341	6	prices	price	NOUN
ejpam-5793	341	7	at	at	ADP
ejpam-5793	341	8	various	various	ADJ
ejpam-5793	341	9	η	η	PROPN
ejpam-5793	341	10	values	value	NOUN
ejpam-5793	341	11	.	.	PUNCT
ejpam-5793	342	1	additionally	additionally	ADV
ejpam-5793	342	2	,	,	PUNCT
ejpam-5793	342	3	figure	figure	VERB
ejpam-5793	342	4	7	7	NUM
ejpam-5793	342	5	illustrates	illustrate	VERB
ejpam-5793	342	6	the	the	DET
ejpam-5793	342	7	three	three	NUM
ejpam-5793	342	8	-	-	PUNCT
ejpam-5793	342	9	dimensional	dimensional	ADJ
ejpam-5793	342	10	profile	profile	NOUN
ejpam-5793	342	11	of	of	ADP
ejpam-5793	342	12	the	the	DET
ejpam-5793	342	13	digital	digital	ADJ
ejpam-5793	342	14	call	call	NOUN
ejpam-5793	342	15	option	option	NOUN
ejpam-5793	342	16	for	for	ADP
ejpam-5793	342	17	fractional	fractional	ADJ
ejpam-5793	342	18	orders	order	NOUN
ejpam-5793	342	19	η	η	NOUN
ejpam-5793	342	20	=	=	PROPN
ejpam-5793	342	21	0.3	0.3	NUM
ejpam-5793	342	22	and	and	CCONJ
ejpam-5793	342	23	η	η	PROPN
ejpam-5793	342	24	=	=	PROPN
ejpam-5793	342	25	0.7	0.7	NUM
ejpam-5793	342	26	.	.	PUNCT
ejpam-5793	343	1	lastly	lastly	ADV
ejpam-5793	343	2	,	,	PUNCT
ejpam-5793	343	3	figure	figure	VERB
ejpam-5793	343	4	8	8	NUM
ejpam-5793	343	5	presents	present	VERB
ejpam-5793	343	6	the	the	DET
ejpam-5793	343	7	delta	delta	NOUN
ejpam-5793	343	8	and	and	CCONJ
ejpam-5793	343	9	gamma	gamma	NOUN
ejpam-5793	343	10	of	of	ADP
ejpam-5793	343	11	the	the	DET
ejpam-5793	343	12	digital	digital	ADJ
ejpam-5793	343	13	call	call	NOUN
ejpam-5793	343	14	option	option	NOUN
ejpam-5793	343	15	across	across	ADP
ejpam-5793	343	16	different	different	ADJ
ejpam-5793	343	17	η	η	PROPN
ejpam-5793	343	18	values	value	NOUN
ejpam-5793	343	19	.	.	PUNCT
ejpam-5793	344	1	examine	examine	VERB
ejpam-5793	344	2	the	the	DET
ejpam-5793	344	3	equation	equation	NOUN
ejpam-5793	344	4	presented	present	VERB
ejpam-5793	344	5	in	in	ADP
ejpam-5793	344	6	eq	eq	ADP
ejpam-5793	344	7	.	.	PUNCT
ejpam-5793	345	1	(	(	PUNCT
ejpam-5793	345	2	14	14	NUM
ejpam-5793	345	3	)	)	PUNCT
ejpam-5793	345	4	pertaining	pertain	VERB
ejpam-5793	345	5	imtiaz	imtiaz	PROPN
ejpam-5793	345	6	ahmad	ahmad	PROPN
ejpam-5793	345	7	et	et	PROPN
ejpam-5793	345	8	al	al	PROPN
ejpam-5793	345	9	.	.	PUNCT
ejpam-5793	345	10	/	/	SYM
ejpam-5793	345	11	eur	eur	PROPN
ejpam-5793	345	12	.	.	PUNCT
ejpam-5793	346	1	j.	j.	PROPN
ejpam-5793	346	2	pure	pure	PROPN
ejpam-5793	346	3	appl	appl	PROPN
ejpam-5793	346	4	.	.	PROPN
ejpam-5793	346	5	math	math	PROPN
ejpam-5793	346	6	,	,	PUNCT
ejpam-5793	346	7	18	18	NUM
ejpam-5793	346	8	(	(	PUNCT
ejpam-5793	346	9	1	1	NUM
ejpam-5793	346	10	)	)	PUNCT
ejpam-5793	346	11	(	(	PUNCT
ejpam-5793	346	12	2025	2025	NUM
ejpam-5793	346	13	)	)	PUNCT
ejpam-5793	346	14	,	,	PUNCT
ejpam-5793	346	15	5793	5793	NUM
ejpam-5793	346	16	16	16	NUM
ejpam-5793	346	17	of	of	ADP
ejpam-5793	346	18	27	27	NUM
ejpam-5793	346	19	0	0	NUM
ejpam-5793	347	1	0.2	0.2	NUM
ejpam-5793	347	2	0.4	0.4	NUM
ejpam-5793	347	3	0.6	0.6	NUM
ejpam-5793	347	4	0.8	0.8	NUM
ejpam-5793	347	5	1	1	NUM
ejpam-5793	347	6	−0.04	−0.04	NUM
ejpam-5793	347	7	−0.02	−0.02	NOUN
ejpam-5793	347	8	0	0	NUM
ejpam-5793	347	9	0.02	0.02	NUM
ejpam-5793	347	10	0.04	0.04	NUM
ejpam-5793	347	11	0.06	0.06	NUM
ejpam-5793	347	12	a	a	DET
ejpam-5793	347	13	d	d	PROPN
ejpam-5793	347	14	el	el	PROPN
ejpam-5793	347	15	ta	ta	PROPN
ejpam-5793	347	16	(	(	PUNCT
ejpam-5793	347	17	∆	∆	PROPN
ejpam-5793	347	18	)	)	PUNCT
ejpam-5793	347	19	η	η	PROPN
ejpam-5793	347	20	=	=	SYM
ejpam-5793	347	21	0.5	0.5	NUM
ejpam-5793	347	22	η	η	NOUN
ejpam-5793	347	23	=	=	PROPN
ejpam-5793	347	24	0.7	0.7	NUM
ejpam-5793	347	25	η	η	NOUN
ejpam-5793	347	26	=	=	PROPN
ejpam-5793	347	27	0.9	0.9	NUM
ejpam-5793	347	28	η	η	NOUN
ejpam-5793	347	29	=	=	SYM
ejpam-5793	347	30	1	1	NUM
ejpam-5793	347	31	0	0	NUM
ejpam-5793	347	32	0.2	0.2	NUM
ejpam-5793	347	33	0.4	0.4	NUM
ejpam-5793	347	34	0.6	0.6	NUM
ejpam-5793	347	35	0.8	0.8	NUM
ejpam-5793	347	36	1	1	NUM
ejpam-5793	347	37	−3	−3	NOUN
ejpam-5793	347	38	−2	−2	NOUN
ejpam-5793	347	39	−1	−1	NOUN
ejpam-5793	347	40	0	0	NUM
ejpam-5793	347	41	1	1	NUM
ejpam-5793	347	42	a	a	DET
ejpam-5793	347	43	g	g	NOUN
ejpam-5793	347	44	a	a	DET
ejpam-5793	347	45	m	m	NOUN
ejpam-5793	347	46	m	m	VERB
ejpam-5793	347	47	a	a	DET
ejpam-5793	347	48	(	(	PUNCT
ejpam-5793	347	49	γ	γ	PROPN
ejpam-5793	347	50	)	)	PUNCT
ejpam-5793	347	51	η	η	PROPN
ejpam-5793	347	52	=	=	SYM
ejpam-5793	347	53	1	1	NUM
ejpam-5793	347	54	η	η	NOUN
ejpam-5793	347	55	=	=	PROPN
ejpam-5793	347	56	0.9	0.9	NUM
ejpam-5793	347	57	η	η	X
ejpam-5793	347	58	=	=	PROPN
ejpam-5793	347	59	0.7	0.7	NUM
ejpam-5793	347	60	η	η	NOUN
ejpam-5793	347	61	=	=	SYM
ejpam-5793	347	62	0.5	0.5	NUM
ejpam-5793	347	63	figure	figure	NOUN
ejpam-5793	347	64	5	5	NUM
ejpam-5793	347	65	:	:	PUNCT
ejpam-5793	347	66	numerical	numerical	ADJ
ejpam-5793	347	67	solution	solution	NOUN
ejpam-5793	347	68	of	of	ADP
ejpam-5793	347	69	∆	∆	PROPN
ejpam-5793	347	70	and	and	CCONJ
ejpam-5793	347	71	γ	γ	NOUN
ejpam-5793	347	72	for	for	ADP
ejpam-5793	347	73	the	the	DET
ejpam-5793	347	74	butterfly	butterfly	NOUN
ejpam-5793	347	75	spread	spread	VERB
ejpam-5793	347	76	option	option	NOUN
ejpam-5793	347	77	with	with	ADP
ejpam-5793	347	78	fractional	fractional	ADJ
ejpam-5793	347	79	orders	order	NOUN
ejpam-5793	347	80	η	η	PROPN
ejpam-5793	347	81	in	in	ADP
ejpam-5793	347	82	problem	problem	NOUN
ejpam-5793	347	83	5	5	NUM
ejpam-5793	347	84	.	.	PUNCT
ejpam-5793	347	85	table	table	NOUN
ejpam-5793	347	86	2	2	NUM
ejpam-5793	347	87	:	:	PUNCT
ejpam-5793	347	88	a	a	DET
ejpam-5793	347	89	comparison	comparison	NOUN
ejpam-5793	347	90	of	of	ADP
ejpam-5793	347	91	the	the	DET
ejpam-5793	347	92	proposed	propose	VERB
ejpam-5793	347	93	approach	approach	NOUN
ejpam-5793	347	94	with	with	ADP
ejpam-5793	347	95	the	the	DET
ejpam-5793	347	96	lmcm	lmcm	NOUN
ejpam-5793	347	97	[	[	X
ejpam-5793	347	98	29	29	NUM
ejpam-5793	347	99	]	]	PUNCT
ejpam-5793	347	100	is	be	AUX
ejpam-5793	347	101	made	make	VERB
ejpam-5793	347	102	using	use	VERB
ejpam-5793	347	103	l∞	l∞	NOUN
ejpam-5793	347	104	norms	norm	NOUN
ejpam-5793	347	105	for	for	ADP
ejpam-5793	347	106	problem	problem	NOUN
ejpam-5793	347	107	5	5	NUM
ejpam-5793	347	108	.	.	PUNCT
ejpam-5793	347	109	η	η	PROPN
ejpam-5793	347	110	method	method	PROPN
ejpam-5793	347	111	m	m	PROPN
ejpam-5793	347	112	=	=	NOUN
ejpam-5793	347	113	61	61	NUM
ejpam-5793	347	114	m	m	NOUN
ejpam-5793	347	115	=	=	NOUN
ejpam-5793	347	116	121	121	NUM
ejpam-5793	347	117	m	m	NOUN
ejpam-5793	347	118	=	=	PUNCT
ejpam-5793	347	119	241	241	NUM
ejpam-5793	347	120	m	m	NOUN
ejpam-5793	347	121	=	=	NUM
ejpam-5793	348	1	481	481	NUM
ejpam-5793	348	2	m	m	VERB
ejpam-5793	348	3	=	=	NOUN
ejpam-5793	348	4	961	961	NUM
ejpam-5793	348	5	0.3	0.3	NUM
ejpam-5793	348	6	lmcm	lmcm	NOUN
ejpam-5793	349	1	[	[	X
ejpam-5793	349	2	29	29	NUM
ejpam-5793	349	3	]	]	SYM
ejpam-5793	349	4	1.0159e−03	1.0159e−03	NUM
ejpam-5793	349	5	2.5886e−04	2.5886e−04	NUM
ejpam-5793	349	6	6.5008e−05	6.5008e−05	NUM
ejpam-5793	349	7	1.6627e−05	1.6627e−05	NUM
ejpam-5793	349	8	7.1306e−06	7.1306e−06	NUM
ejpam-5793	349	9	proposed	propose	VERB
ejpam-5793	349	10	method	method	NOUN
ejpam-5793	349	11	7.6382e−04	7.6382e−04	NUM
ejpam-5793	350	1	9.0435e−05	9.0435e−05	NUM
ejpam-5793	351	1	4.0917e−05	4.0917e−05	NUM
ejpam-5793	351	2	7.3491e−06	7.3491e−06	NUM
ejpam-5793	351	3	4.5375e−06	4.5375e−06	NUM
ejpam-5793	351	4	0.5	0.5	NUM
ejpam-5793	351	5	lmcm	lmcm	NOUN
ejpam-5793	351	6	[	[	X
ejpam-5793	351	7	29	29	NUM
ejpam-5793	351	8	]	]	PUNCT
ejpam-5793	351	9	8.4988e−04	8.4988e−04	NUM
ejpam-5793	351	10	2.1518e−04	2.1518e−04	NUM
ejpam-5793	352	1	5.3940e−05	5.3940e−05	NUM
ejpam-5793	352	2	1.3876e−05	1.3876e−05	NUM
ejpam-5793	352	3	6.7375e−06	6.7375e−06	NUM
ejpam-5793	352	4	proposed	propose	VERB
ejpam-5793	352	5	method	method	NOUN
ejpam-5793	352	6	3.5562e−04	3.5562e−04	NUM
ejpam-5793	352	7	8.5784e−05	8.5784e−05	NUM
ejpam-5793	353	1	2.5383e−05	2.5383e−05	NUM
ejpam-5793	354	1	6.3471e−06	6.3471e−06	NUM
ejpam-5793	354	2	2.3566e−06	2.3566e−06	NUM
ejpam-5793	354	3	0.7	0.7	NUM
ejpam-5793	354	4	lmcm	lmcm	NOUN
ejpam-5793	354	5	[	[	X
ejpam-5793	354	6	29	29	NUM
ejpam-5793	354	7	]	]	SYM
ejpam-5793	354	8	6.1047e−04	6.1047e−04	NUM
ejpam-5793	354	9	1.5205e−04	1.5205e−04	NUM
ejpam-5793	355	1	3.7943e−05	3.7943e−05	NUM
ejpam-5793	355	2	9.9106e−06	9.9106e−06	NUM
ejpam-5793	355	3	6.2241e−06	6.2241e−06	NUM
ejpam-5793	355	4	proposed	propose	VERB
ejpam-5793	355	5	method	method	NOUN
ejpam-5793	355	6	3.4860e−04	3.4860e−04	NUM
ejpam-5793	355	7	6.9042e−05	6.9042e−05	NUM
ejpam-5793	355	8	1.1684e−05	1.1684e−05	NUM
ejpam-5793	355	9	7.1095e−06	7.1095e−06	NUM
ejpam-5793	355	10	2.4261e−06	2.4261e−06	NUM
ejpam-5793	355	11	0.9	0.9	NUM
ejpam-5793	355	12	lmcm	lmcm	NOUN
ejpam-5793	355	13	[	[	X
ejpam-5793	355	14	29	29	NUM
ejpam-5793	355	15	]	]	SYM
ejpam-5793	355	16	3.9657e−04	3.9657e−04	NUM
ejpam-5793	355	17	1.0060e−04	1.0060e−04	NUM
ejpam-5793	355	18	2.5239e−05	2.5239e−05	NUM
ejpam-5793	356	1	6.3455e−06	6.3455e−06	NUM
ejpam-5793	356	2	5.4104e−06	5.4104e−06	NUM
ejpam-5793	356	3	proposed	propose	VERB
ejpam-5793	356	4	method	method	NOUN
ejpam-5793	356	5	9.9648e−05	9.9648e−05	NUM
ejpam-5793	357	1	6.7810e−05	6.7810e−05	NUM
ejpam-5793	357	2	1.1105e−05	1.1105e−05	NUM
ejpam-5793	358	1	3.5633e−06	3.5633e−06	NUM
ejpam-5793	358	2	1.7319e−06	1.7319e−06	NUM
ejpam-5793	358	3	to	to	ADP
ejpam-5793	358	4	the	the	DET
ejpam-5793	358	5	double	double	ADJ
ejpam-5793	358	6	barrier	barrier	NOUN
ejpam-5793	358	7	knock	knock	VERB
ejpam-5793	358	8	-	-	PUNCT
ejpam-5793	358	9	out	out	ADP
ejpam-5793	358	10	call	call	NOUN
ejpam-5793	358	11	option	option	NOUN
ejpam-5793	358	12	model	model	NOUN
ejpam-5793	359	1	[	[	X
ejpam-5793	359	2	50	50	NUM
ejpam-5793	359	3	]	]	PUNCT
ejpam-5793	359	4	∂ηp	∂ηp	PROPN
ejpam-5793	359	5	∂t	∂t	PROPN
ejpam-5793	359	6	η	η	PROPN
ejpam-5793	359	7	=	=	PROPN
ejpam-5793	359	8	1	1	NUM
ejpam-5793	359	9	2	2	NUM
ejpam-5793	359	10	ς2a2	ς2a2	NOUN
ejpam-5793	359	11	∂	∂	NUM
ejpam-5793	359	12	2p	2p	NUM
ejpam-5793	359	13	∂a2	∂a2	VERB
ejpam-5793	359	14	+	+	CCONJ
ejpam-5793	359	15	(	(	PUNCT
ejpam-5793	359	16	ϵ−d)a∂p	ϵ−d)a∂p	PROPN
ejpam-5793	360	1	∂a	∂a	ADP
ejpam-5793	360	2	−	−	PROPN
ejpam-5793	360	3	ϵp	ϵp	ADP
ejpam-5793	360	4	,	,	PUNCT
ejpam-5793	360	5	(	(	PUNCT
ejpam-5793	360	6	a	a	PRON
ejpam-5793	360	7	,	,	PUNCT
ejpam-5793	360	8	t	t	NOUN
ejpam-5793	360	9	)	)	PUNCT
ejpam-5793	360	10	∈	∈	PROPN
ejpam-5793	360	11	(	(	PUNCT
ejpam-5793	360	12	bl	bl	INTJ
ejpam-5793	360	13	,	,	PUNCT
ejpam-5793	360	14	bϵ)×	bϵ)×	X
ejpam-5793	360	15	(	(	PUNCT
ejpam-5793	360	16	0	0	NUM
ejpam-5793	360	17	,	,	PUNCT
ejpam-5793	360	18	t	t	NOUN
ejpam-5793	360	19	)	)	PUNCT
ejpam-5793	360	20	,	,	PUNCT
ejpam-5793	360	21	p(bl	p(bl	PROPN
ejpam-5793	360	22	,	,	PUNCT
ejpam-5793	360	23	t	t	NOUN
ejpam-5793	360	24	)	)	PUNCT
ejpam-5793	361	1	=	=	SYM
ejpam-5793	361	2	p1(t	p1(t	PROPN
ejpam-5793	361	3	)	)	PUNCT
ejpam-5793	361	4	,	,	PUNCT
ejpam-5793	361	5	p(bϵ	p(bϵ	PROPN
ejpam-5793	361	6	,	,	PUNCT
ejpam-5793	361	7	t	t	NOUN
ejpam-5793	361	8	)	)	PUNCT
ejpam-5793	362	1	=	=	PUNCT
ejpam-5793	362	2	p2(t	p2(t	PROPN
ejpam-5793	362	3	)	)	PUNCT
ejpam-5793	362	4	,	,	PUNCT
ejpam-5793	362	5	p(a	p(a	PROPN
ejpam-5793	362	6	,	,	PUNCT
ejpam-5793	362	7	0	0	NUM
ejpam-5793	362	8	)	)	PUNCT
ejpam-5793	362	9	=	=	SYM
ejpam-5793	362	10	q(a	q(a	PROPN
ejpam-5793	362	11	)	)	PUNCT
ejpam-5793	362	12	,	,	PUNCT
ejpam-5793	362	13	(	(	PUNCT
ejpam-5793	362	14	41	41	NUM
ejpam-5793	362	15	)	)	PUNCT
ejpam-5793	362	16	where	where	SCONJ
ejpam-5793	362	17	q(a	q(a	NOUN
ejpam-5793	362	18	)	)	PUNCT
ejpam-5793	362	19	=	=	SYM
ejpam-5793	362	20	max(a−s	max(a−s	NOUN
ejpam-5793	362	21	,	,	PUNCT
ejpam-5793	362	22	0	0	NUM
ejpam-5793	362	23	)	)	PUNCT
ejpam-5793	362	24	,	,	PUNCT
ejpam-5793	362	25	p1(t	p1(t	PROPN
ejpam-5793	362	26	)	)	PUNCT
ejpam-5793	363	1	=	=	SYM
ejpam-5793	363	2	p2(t	p2(t	PROPN
ejpam-5793	363	3	)	)	PUNCT
ejpam-5793	363	4	=	=	SYM
ejpam-5793	363	5	0	0	NUM
ejpam-5793	363	6	and	and	CCONJ
ejpam-5793	363	7	other	other	ADJ
ejpam-5793	363	8	parameter	parameter	NOUN
ejpam-5793	363	9	values	value	NOUN
ejpam-5793	363	10	are	be	AUX
ejpam-5793	363	11	ς	ς	PROPN
ejpam-5793	363	12	=	=	NOUN
ejpam-5793	363	13	0.45	0.45	NUM
ejpam-5793	363	14	,	,	PUNCT
ejpam-5793	363	15	d	d	NOUN
ejpam-5793	363	16	=	=	PUNCT
ejpam-5793	363	17	0.01	0.01	NUM
ejpam-5793	363	18	,	,	PUNCT
ejpam-5793	363	19	ϵ	ϵ	X
ejpam-5793	363	20	=	=	SYM
ejpam-5793	363	21	0.03	0.03	NUM
ejpam-5793	363	22	,	,	PUNCT
ejpam-5793	363	23	br	br	NOUN
ejpam-5793	363	24	=	=	SYM
ejpam-5793	363	25	15	15	NUM
ejpam-5793	363	26	,	,	PUNCT
ejpam-5793	363	27	bl	bl	PROPN
ejpam-5793	363	28	=	=	SYM
ejpam-5793	363	29	3	3	NUM
ejpam-5793	363	30	,	,	PUNCT
ejpam-5793	363	31	t	t	NOUN
ejpam-5793	363	32	=	=	SYM
ejpam-5793	363	33	1	1	NUM
ejpam-5793	363	34	(	(	PUNCT
ejpam-5793	363	35	year	year	NOUN
ejpam-5793	363	36	)	)	PUNCT
ejpam-5793	363	37	and	and	CCONJ
ejpam-5793	363	38	s	s	AUX
ejpam-5793	363	39	=	=	NOUN
ejpam-5793	363	40	10	10	NUM
ejpam-5793	363	41	as	as	SCONJ
ejpam-5793	363	42	given	give	VERB
ejpam-5793	363	43	in	in	ADP
ejpam-5793	363	44	[	[	X
ejpam-5793	363	45	21	21	NUM
ejpam-5793	363	46	,	,	PUNCT
ejpam-5793	363	47	50	50	NUM
ejpam-5793	363	48	]	]	PUNCT
ejpam-5793	363	49	.	.	PUNCT
ejpam-5793	364	1	the	the	DET
ejpam-5793	364	2	outcomes	outcome	NOUN
ejpam-5793	364	3	are	be	AUX
ejpam-5793	364	4	depicted	depict	VERB
ejpam-5793	364	5	in	in	ADP
ejpam-5793	364	6	figure	figure	NOUN
ejpam-5793	364	7	9	9	NUM
ejpam-5793	364	8	for	for	ADP
ejpam-5793	364	9	various	various	ADJ
ejpam-5793	364	10	values	value	NOUN
ejpam-5793	364	11	of	of	ADP
ejpam-5793	364	12	η	η	PROPN
ejpam-5793	364	13	.	.	PUNCT
ejpam-5793	364	14	the	the	DET
ejpam-5793	364	15	model	model	NOUN
ejpam-5793	364	16	demonstrates	demonstrate	VERB
ejpam-5793	364	17	that	that	SCONJ
ejpam-5793	364	18	option	option	NOUN
ejpam-5793	364	19	prices	price	NOUN
ejpam-5793	364	20	decline	decline	VERB
ejpam-5793	364	21	when	when	SCONJ
ejpam-5793	364	22	the	the	DET
ejpam-5793	364	23	asset	asset	NOUN
ejpam-5793	364	24	price	price	NOUN
ejpam-5793	364	25	a	a	PRON
ejpam-5793	364	26	is	be	AUX
ejpam-5793	364	27	below	below	ADP
ejpam-5793	364	28	the	the	DET
ejpam-5793	364	29	strike	strike	NOUN
ejpam-5793	364	30	price	price	NOUN
ejpam-5793	364	31	s.	s.	PROPN
ejpam-5793	364	32	in	in	ADP
ejpam-5793	364	33	contrast	contrast	NOUN
ejpam-5793	364	34	,	,	PUNCT
ejpam-5793	364	35	for	for	ADP
ejpam-5793	364	36	in	in	ADP
ejpam-5793	364	37	-	-	PUNCT
ejpam-5793	364	38	the	the	DET
ejpam-5793	364	39	-	-	PUNCT
ejpam-5793	364	40	money	money	NOUN
ejpam-5793	364	41	options	option	NOUN
ejpam-5793	364	42	,	,	PUNCT
ejpam-5793	364	43	where	where	SCONJ
ejpam-5793	364	44	a	a	DET
ejpam-5793	364	45	>	>	X
ejpam-5793	364	46	s	s	VERB
ejpam-5793	364	47	the	the	DET
ejpam-5793	364	48	prices	price	NOUN
ejpam-5793	364	49	are	be	AUX
ejpam-5793	364	50	elevated	elevate	VERB
ejpam-5793	364	51	.	.	PUNCT
ejpam-5793	365	1	furthermore	furthermore	ADV
ejpam-5793	365	2	,	,	PUNCT
ejpam-5793	365	3	figure	figure	VERB
ejpam-5793	365	4	10	10	NUM
ejpam-5793	365	5	presents	present	VERB
ejpam-5793	365	6	the	the	DET
ejpam-5793	365	7	numerical	numerical	ADJ
ejpam-5793	365	8	solution	solution	NOUN
ejpam-5793	365	9	for	for	ADP
ejpam-5793	365	10	the	the	DET
ejpam-5793	365	11	double	double	ADJ
ejpam-5793	365	12	barrier	barrier	NOUN
ejpam-5793	365	13	knock	knock	VERB
ejpam-5793	365	14	-	-	PUNCT
ejpam-5793	365	15	out	out	ADP
ejpam-5793	365	16	option	option	NOUN
ejpam-5793	365	17	at	at	ADP
ejpam-5793	365	18	η	η	PROPN
ejpam-5793	365	19	=	=	PROPN
ejpam-5793	365	20	0.3	0.3	NUM
ejpam-5793	365	21	and	and	CCONJ
ejpam-5793	365	22	η	η	PROPN
ejpam-5793	365	23	=	=	PROPN
ejpam-5793	365	24	0.7	0.7	NUM
ejpam-5793	365	25	.	.	PUNCT
ejpam-5793	366	1	the	the	DET
ejpam-5793	366	2	european	european	ADJ
ejpam-5793	366	3	call	call	NOUN
ejpam-5793	366	4	options	option	NOUN
ejpam-5793	366	5	is	be	AUX
ejpam-5793	366	6	consider	consider	VERB
ejpam-5793	366	7	in	in	ADP
ejpam-5793	366	8	the	the	DET
ejpam-5793	366	9	following	follow	VERB
ejpam-5793	366	10	equation	equation	NOUN
ejpam-5793	366	11	using	use	VERB
ejpam-5793	366	12	tfbsm	tfbsm	PROPN
ejpam-5793	366	13	imtiaz	imtiaz	PROPN
ejpam-5793	366	14	ahmad	ahmad	PROPN
ejpam-5793	366	15	et	et	PROPN
ejpam-5793	366	16	al	al	PROPN
ejpam-5793	366	17	.	.	PUNCT
ejpam-5793	366	18	/	/	SYM
ejpam-5793	366	19	eur	eur	PROPN
ejpam-5793	366	20	.	.	PUNCT
ejpam-5793	367	1	j.	j.	PROPN
ejpam-5793	367	2	pure	pure	PROPN
ejpam-5793	367	3	appl	appl	PROPN
ejpam-5793	367	4	.	.	PROPN
ejpam-5793	367	5	math	math	PROPN
ejpam-5793	367	6	,	,	PUNCT
ejpam-5793	367	7	18	18	NUM
ejpam-5793	367	8	(	(	PUNCT
ejpam-5793	367	9	1	1	NUM
ejpam-5793	367	10	)	)	PUNCT
ejpam-5793	367	11	(	(	PUNCT
ejpam-5793	367	12	2025	2025	NUM
ejpam-5793	367	13	)	)	PUNCT
ejpam-5793	367	14	,	,	PUNCT
ejpam-5793	367	15	5793	5793	NUM
ejpam-5793	367	16	17	17	NUM
ejpam-5793	367	17	of	of	ADP
ejpam-5793	367	18	27	27	NUM
ejpam-5793	367	19	0	0	NUM
ejpam-5793	367	20	0.2	0.2	NUM
ejpam-5793	367	21	0.4	0.4	NUM
ejpam-5793	367	22	0.6	0.6	NUM
ejpam-5793	367	23	0.8	0.8	NUM
ejpam-5793	367	24	1	1	NUM
ejpam-5793	367	25	0	0	NUM
ejpam-5793	367	26	0.2	0.2	NUM
ejpam-5793	367	27	0.4	0.4	NUM
ejpam-5793	367	28	0.6	0.6	NUM
ejpam-5793	367	29	0.8	0.8	NUM
ejpam-5793	367	30	1	1	NUM
ejpam-5793	367	31	a	a	DET
ejpam-5793	367	32	o	o	NOUN
ejpam-5793	367	33	p	p	X
ejpam-5793	367	34	ti	ti	NOUN
ejpam-5793	367	35	o	o	NOUN
ejpam-5793	367	36	n	n	PROPN
ejpam-5793	367	37	v	v	NOUN
ejpam-5793	367	38	a	a	DET
ejpam-5793	367	39	lu	lu	NOUN
ejpam-5793	367	40	e	e	NOUN
ejpam-5793	367	41	η	η	PROPN
ejpam-5793	367	42	=	=	PROPN
ejpam-5793	367	43	1	1	NUM
ejpam-5793	367	44	η	η	NOUN
ejpam-5793	367	45	=	=	PROPN
ejpam-5793	367	46	0.7	0.7	NUM
ejpam-5793	367	47	η	η	NOUN
ejpam-5793	367	48	=	=	SYM
ejpam-5793	367	49	0.5	0.5	NUM
ejpam-5793	367	50	η	η	X
ejpam-5793	367	51	=	=	SYM
ejpam-5793	367	52	0.3	0.3	NUM
ejpam-5793	367	53	figure	figure	NOUN
ejpam-5793	367	54	6	6	NUM
ejpam-5793	367	55	:	:	PUNCT
ejpam-5793	367	56	numerical	numerical	ADJ
ejpam-5793	367	57	solution	solution	NOUN
ejpam-5793	367	58	of	of	ADP
ejpam-5793	367	59	the	the	DET
ejpam-5793	367	60	fractional	fractional	ADJ
ejpam-5793	367	61	-	-	PUNCT
ejpam-5793	367	62	order	order	NOUN
ejpam-5793	367	63	η	η	NOUN
ejpam-5793	367	64	digital	digital	ADJ
ejpam-5793	367	65	option	option	NOUN
ejpam-5793	367	66	for	for	ADP
ejpam-5793	367	67	test	test	NOUN
ejpam-5793	367	68	problem	problem	NOUN
ejpam-5793	367	69	5	5	NUM
ejpam-5793	367	70	.	.	NOUN
ejpam-5793	367	71	0	0	NUM
ejpam-5793	368	1	0.2	0.2	NUM
ejpam-5793	368	2	0.4	0.4	NUM
ejpam-5793	368	3	0.6	0.6	NUM
ejpam-5793	368	4	0.8	0.8	NUM
ejpam-5793	368	5	1	1	NUM
ejpam-5793	368	6	0	0	NUM
ejpam-5793	368	7	0.5	0.5	NUM
ejpam-5793	368	8	1	1	NUM
ejpam-5793	368	9	0	0	NUM
ejpam-5793	368	10	0.2	0.2	NUM
ejpam-5793	368	11	0.4	0.4	NUM
ejpam-5793	368	12	0.6	0.6	NUM
ejpam-5793	368	13	0.8	0.8	NUM
ejpam-5793	368	14	1	1	NUM
ejpam-5793	368	15	at	at	ADP
ejpam-5793	368	16	o	o	PROPN
ejpam-5793	368	17	p	p	X
ejpam-5793	368	18	ti	ti	X
ejpam-5793	368	19	o	o	NOUN
ejpam-5793	369	1	n	n	CCONJ
ejpam-5793	369	2	p	p	X
ejpam-5793	369	3	ri	ri	PROPN
ejpam-5793	369	4	ce	ce	PROPN
ejpam-5793	369	5	0	0	PROPN
ejpam-5793	370	1	0.2	0.2	NUM
ejpam-5793	370	2	0.4	0.4	NUM
ejpam-5793	370	3	0.6	0.6	NUM
ejpam-5793	370	4	0.8	0.8	NUM
ejpam-5793	370	5	1	1	NUM
ejpam-5793	370	6	0	0	NUM
ejpam-5793	370	7	0.5	0.5	NUM
ejpam-5793	370	8	1	1	NUM
ejpam-5793	370	9	0	0	NUM
ejpam-5793	370	10	0.2	0.2	NUM
ejpam-5793	370	11	0.4	0.4	NUM
ejpam-5793	370	12	0.6	0.6	NUM
ejpam-5793	370	13	0.8	0.8	NUM
ejpam-5793	370	14	1	1	NUM
ejpam-5793	370	15	at	at	ADP
ejpam-5793	370	16	o	o	PROPN
ejpam-5793	370	17	p	p	X
ejpam-5793	370	18	ti	ti	X
ejpam-5793	370	19	o	o	NOUN
ejpam-5793	371	1	n	n	CCONJ
ejpam-5793	371	2	p	p	PROPN
ejpam-5793	371	3	ri	ri	PROPN
ejpam-5793	371	4	ce	ce	PROPN
ejpam-5793	371	5	figure	figure	NOUN
ejpam-5793	371	6	7	7	NUM
ejpam-5793	371	7	:	:	PUNCT
ejpam-5793	371	8	numerical	numerical	ADJ
ejpam-5793	371	9	solution	solution	NOUN
ejpam-5793	371	10	of	of	ADP
ejpam-5793	371	11	the	the	DET
ejpam-5793	371	12	digital	digital	ADJ
ejpam-5793	371	13	option	option	NOUN
ejpam-5793	371	14	for	for	ADP
ejpam-5793	371	15	fractional	fractional	ADJ
ejpam-5793	371	16	orders	order	NOUN
ejpam-5793	371	17	η	η	NOUN
ejpam-5793	371	18	=	=	SYM
ejpam-5793	371	19	0.3	0.3	NUM
ejpam-5793	371	20	(	(	PUNCT
ejpam-5793	371	21	left	left	ADJ
ejpam-5793	371	22	)	)	PUNCT
ejpam-5793	371	23	and	and	CCONJ
ejpam-5793	371	24	η	η	PROPN
ejpam-5793	371	25	=	=	SYM
ejpam-5793	371	26	0.7	0.7	NUM
ejpam-5793	371	27	(	(	PUNCT
ejpam-5793	371	28	right	right	ADJ
ejpam-5793	371	29	)	)	PUNCT
ejpam-5793	371	30	in	in	ADP
ejpam-5793	371	31	problem	problem	NOUN
ejpam-5793	371	32	5	5	NUM
ejpam-5793	371	33	.	.	PUNCT
ejpam-5793	372	1	[	[	X
ejpam-5793	372	2	18	18	NUM
ejpam-5793	372	3	]	]	SYM
ejpam-5793	372	4	:	:	PUNCT
ejpam-5793	372	5	∂ηp	∂ηp	PROPN
ejpam-5793	372	6	∂t	∂t	PROPN
ejpam-5793	372	7	η	η	PROPN
ejpam-5793	372	8	=	=	PROPN
ejpam-5793	372	9	1	1	NUM
ejpam-5793	372	10	2	2	NUM
ejpam-5793	372	11	ς2a2	ς2a2	NOUN
ejpam-5793	372	12	∂	∂	NUM
ejpam-5793	372	13	2p	2p	NUM
ejpam-5793	372	14	∂a2	∂a2	VERB
ejpam-5793	372	15	+	+	CCONJ
ejpam-5793	372	16	ϵa∂p	ϵa∂p	PROPN
ejpam-5793	373	1	∂a	∂a	NUM
ejpam-5793	373	2	−	−	NOUN
ejpam-5793	373	3	ϵp	ϵp	ADP
ejpam-5793	373	4	,	,	PUNCT
ejpam-5793	373	5	(	(	PUNCT
ejpam-5793	373	6	a	a	PRON
ejpam-5793	373	7	,	,	PUNCT
ejpam-5793	373	8	t	t	NOUN
ejpam-5793	373	9	)	)	PUNCT
ejpam-5793	373	10	∈	∈	PROPN
ejpam-5793	373	11	(	(	PUNCT
ejpam-5793	373	12	0,amax)×	0,amax)×	X
ejpam-5793	373	13	(	(	PUNCT
ejpam-5793	373	14	0	0	NUM
ejpam-5793	373	15	,	,	PUNCT
ejpam-5793	373	16	t	t	NOUN
ejpam-5793	373	17	)	)	PUNCT
ejpam-5793	373	18	,	,	PUNCT
ejpam-5793	373	19	p(0	p(0	PROPN
ejpam-5793	373	20	,	,	PUNCT
ejpam-5793	373	21	t	t	NOUN
ejpam-5793	373	22	)	)	PUNCT
ejpam-5793	374	1	=	=	SYM
ejpam-5793	374	2	0	0	NUM
ejpam-5793	374	3	,	,	PUNCT
ejpam-5793	374	4	p(amax	p(amax	NOUN
ejpam-5793	374	5	,	,	PUNCT
ejpam-5793	374	6	t	t	NOUN
ejpam-5793	374	7	)	)	PUNCT
ejpam-5793	375	1	=	=	SYM
ejpam-5793	375	2	amax	amax	PROPN
ejpam-5793	375	3	−	−	PROPN
ejpam-5793	375	4	ee−rt	ee−rt	PROPN
ejpam-5793	375	5	,	,	PUNCT
ejpam-5793	375	6	t	t	PROPN
ejpam-5793	375	7	∈	∈	PROPN
ejpam-5793	375	8	(	(	PUNCT
ejpam-5793	375	9	0	0	NUM
ejpam-5793	375	10	,	,	PUNCT
ejpam-5793	375	11	t	t	NOUN
ejpam-5793	375	12	)	)	PUNCT
ejpam-5793	375	13	,	,	PUNCT
ejpam-5793	375	14	p(a	p(a	PROPN
ejpam-5793	375	15	,	,	PUNCT
ejpam-5793	375	16	0	0	NUM
ejpam-5793	375	17	)	)	PUNCT
ejpam-5793	375	18	=	=	SYM
ejpam-5793	376	1	max(a−	max(a−	NOUN
ejpam-5793	376	2	e	e	NOUN
ejpam-5793	376	3	,	,	PUNCT
ejpam-5793	376	4	0	0	NUM
ejpam-5793	376	5	)	)	PUNCT
ejpam-5793	376	6	.	.	PUNCT
ejpam-5793	377	1	(	(	PUNCT
ejpam-5793	377	2	42	42	NUM
ejpam-5793	377	3	)	)	PUNCT
ejpam-5793	377	4	with	with	ADP
ejpam-5793	377	5	ς	ς	PROPN
ejpam-5793	377	6	=	=	PUNCT
ejpam-5793	377	7	0.3	0.3	NUM
ejpam-5793	377	8	,	,	PUNCT
ejpam-5793	377	9	ϵ	ϵ	X
ejpam-5793	377	10	=	=	SYM
ejpam-5793	377	11	0.04	0.04	NUM
ejpam-5793	377	12	,	,	PUNCT
ejpam-5793	377	13	e	e	NOUN
ejpam-5793	377	14	=	=	SYM
ejpam-5793	377	15	10	10	NUM
ejpam-5793	377	16	,	,	PUNCT
ejpam-5793	377	17	t	t	NOUN
ejpam-5793	377	18	=	=	SYM
ejpam-5793	377	19	1	1	NUM
ejpam-5793	377	20	,	,	PUNCT
ejpam-5793	377	21	and	and	CCONJ
ejpam-5793	377	22	amax	amax	PROPN
ejpam-5793	377	23	=	=	PROPN
ejpam-5793	378	1	40	40	NUM
ejpam-5793	378	2	.	.	PUNCT
ejpam-5793	379	1	the	the	DET
ejpam-5793	379	2	outcomes	outcome	NOUN
ejpam-5793	379	3	produced	produce	VERB
ejpam-5793	379	4	by	by	ADP
ejpam-5793	379	5	the	the	DET
ejpam-5793	379	6	proposed	propose	VERB
ejpam-5793	379	7	method	method	NOUN
ejpam-5793	379	8	are	be	AUX
ejpam-5793	379	9	compared	compare	VERB
ejpam-5793	379	10	with	with	ADP
ejpam-5793	379	11	those	those	PRON
ejpam-5793	379	12	from	from	ADP
ejpam-5793	379	13	the	the	DET
ejpam-5793	379	14	cdm	cdm	PROPN
ejpam-5793	380	1	[	[	X
ejpam-5793	380	2	18	18	NUM
ejpam-5793	380	3	]	]	PUNCT
ejpam-5793	380	4	and	and	CCONJ
ejpam-5793	380	5	lrbfcm	lrbfcm	X
ejpam-5793	380	6	[	[	X
ejpam-5793	380	7	1	1	NUM
ejpam-5793	380	8	]	]	PUNCT
ejpam-5793	380	9	,	,	PUNCT
ejpam-5793	380	10	and	and	CCONJ
ejpam-5793	380	11	they	they	PRON
ejpam-5793	380	12	are	be	AUX
ejpam-5793	380	13	evaluated	evaluate	VERB
ejpam-5793	380	14	using	use	VERB
ejpam-5793	380	15	the	the	DET
ejpam-5793	380	16	l∞	l∞	NOUN
ejpam-5793	380	17	error	error	NOUN
ejpam-5793	380	18	norm	norm	NOUN
ejpam-5793	380	19	,	,	PUNCT
ejpam-5793	380	20	as	as	SCONJ
ejpam-5793	380	21	presented	present	VERB
ejpam-5793	380	22	in	in	ADP
ejpam-5793	380	23	table	table	NOUN
ejpam-5793	380	24	3	3	NUM
ejpam-5793	380	25	.	.	PUNCT
ejpam-5793	381	1	given	give	VERB
ejpam-5793	381	2	that	that	SCONJ
ejpam-5793	381	3	there	there	PRON
ejpam-5793	381	4	is	be	VERB
ejpam-5793	381	5	no	no	DET
ejpam-5793	381	6	exact	exact	ADJ
ejpam-5793	381	7	solution	solution	NOUN
ejpam-5793	381	8	for	for	ADP
ejpam-5793	381	9	problem	problem	NOUN
ejpam-5793	381	10	5	5	NUM
ejpam-5793	381	11	,	,	PUNCT
ejpam-5793	381	12	the	the	DET
ejpam-5793	381	13	double	double	ADJ
ejpam-5793	381	14	mesh	mesh	NOUN
ejpam-5793	381	15	technique	technique	NOUN
ejpam-5793	381	16	was	be	AUX
ejpam-5793	381	17	employed	employ	VERB
ejpam-5793	381	18	to	to	PART
ejpam-5793	381	19	approximate	approximate	VERB
ejpam-5793	381	20	the	the	DET
ejpam-5793	381	21	error	error	NOUN
ejpam-5793	381	22	norm	norm	NOUN
ejpam-5793	381	23	.	.	PUNCT
ejpam-5793	382	1	the	the	DET
ejpam-5793	382	2	results	result	NOUN
ejpam-5793	382	3	indicate	indicate	VERB
ejpam-5793	382	4	that	that	SCONJ
ejpam-5793	382	5	the	the	DET
ejpam-5793	382	6	proposed	propose	VERB
ejpam-5793	382	7	approach	approach	NOUN
ejpam-5793	382	8	demonstrates	demonstrate	VERB
ejpam-5793	382	9	superior	superior	ADJ
ejpam-5793	382	10	accuracy	accuracy	NOUN
ejpam-5793	382	11	compared	compare	VERB
ejpam-5793	382	12	to	to	ADP
ejpam-5793	382	13	both	both	DET
ejpam-5793	382	14	cdm	cdm	PROPN
ejpam-5793	383	1	[	[	X
ejpam-5793	383	2	18	18	NUM
ejpam-5793	383	3	]	]	PUNCT
ejpam-5793	383	4	and	and	CCONJ
ejpam-5793	383	5	lrbfcm	lrbfcm	X
ejpam-5793	383	6	[	[	X
ejpam-5793	383	7	1	1	NUM
ejpam-5793	383	8	]	]	PUNCT
ejpam-5793	383	9	,	,	PUNCT
ejpam-5793	383	10	as	as	SCONJ
ejpam-5793	383	11	detailed	detailed	ADJ
ejpam-5793	383	12	in	in	ADP
ejpam-5793	383	13	table	table	NOUN
ejpam-5793	383	14	3	3	NUM
ejpam-5793	383	15	.	.	PUNCT
ejpam-5793	383	16	additionally	additionally	ADV
ejpam-5793	383	17	,	,	PUNCT
ejpam-5793	383	18	the	the	DET
ejpam-5793	383	19	numerical	numerical	ADJ
ejpam-5793	383	20	solutions	solution	NOUN
ejpam-5793	383	21	obtained	obtain	VERB
ejpam-5793	383	22	from	from	ADP
ejpam-5793	383	23	the	the	DET
ejpam-5793	383	24	proposed	propose	VERB
ejpam-5793	383	25	imtiaz	imtiaz	PROPN
ejpam-5793	383	26	ahmad	ahmad	PROPN
ejpam-5793	383	27	et	et	PROPN
ejpam-5793	383	28	al	al	PROPN
ejpam-5793	383	29	.	.	PUNCT
ejpam-5793	383	30	/	/	SYM
ejpam-5793	383	31	eur	eur	PROPN
ejpam-5793	383	32	.	.	PUNCT
ejpam-5793	384	1	j.	j.	PROPN
ejpam-5793	384	2	pure	pure	PROPN
ejpam-5793	384	3	appl	appl	PROPN
ejpam-5793	384	4	.	.	PROPN
ejpam-5793	384	5	math	math	PROPN
ejpam-5793	384	6	,	,	PUNCT
ejpam-5793	384	7	18	18	NUM
ejpam-5793	384	8	(	(	PUNCT
ejpam-5793	384	9	1	1	NUM
ejpam-5793	384	10	)	)	PUNCT
ejpam-5793	384	11	(	(	PUNCT
ejpam-5793	384	12	2025	2025	NUM
ejpam-5793	384	13	)	)	PUNCT
ejpam-5793	384	14	,	,	PUNCT
ejpam-5793	384	15	5793	5793	NUM
ejpam-5793	384	16	18	18	NUM
ejpam-5793	384	17	of	of	ADP
ejpam-5793	384	18	27	27	NUM
ejpam-5793	384	19	0	0	NUM
ejpam-5793	384	20	0.2	0.2	NUM
ejpam-5793	384	21	0.4	0.4	NUM
ejpam-5793	384	22	0.6	0.6	NUM
ejpam-5793	384	23	0.8	0.8	NUM
ejpam-5793	384	24	1	1	NUM
ejpam-5793	384	25	0	0	NUM
ejpam-5793	384	26	1	1	NUM
ejpam-5793	384	27	2	2	NUM
ejpam-5793	384	28	3	3	NUM
ejpam-5793	384	29	4	4	NUM
ejpam-5793	384	30	5	5	NUM
ejpam-5793	384	31	6	6	NUM
ejpam-5793	384	32	a	a	DET
ejpam-5793	384	33	d	d	X
ejpam-5793	384	34	el	el	PROPN
ejpam-5793	384	35	ta	ta	PROPN
ejpam-5793	384	36	(	(	PUNCT
ejpam-5793	384	37	∆	∆	PROPN
ejpam-5793	384	38	)	)	PUNCT
ejpam-5793	384	39	η	η	PROPN
ejpam-5793	384	40	=	=	SYM
ejpam-5793	384	41	1	1	NUM
ejpam-5793	384	42	η	η	NOUN
ejpam-5793	384	43	=	=	PROPN
ejpam-5793	384	44	0.9	0.9	NUM
ejpam-5793	384	45	η	η	X
ejpam-5793	384	46	=	=	PROPN
ejpam-5793	384	47	0.7	0.7	NUM
ejpam-5793	384	48	η	η	NOUN
ejpam-5793	384	49	=	=	SYM
ejpam-5793	384	50	0.5	0.5	NUM
ejpam-5793	384	51	0	0	NUM
ejpam-5793	384	52	0.2	0.2	NUM
ejpam-5793	384	53	0.4	0.4	NUM
ejpam-5793	384	54	0.6	0.6	NUM
ejpam-5793	384	55	0.8	0.8	NUM
ejpam-5793	384	56	1	1	NUM
ejpam-5793	384	57	−80	−80	NOUN
ejpam-5793	384	58	−60	−60	NOUN
ejpam-5793	384	59	−40	−40	NOUN
ejpam-5793	385	1	−20	−20	NOUN
ejpam-5793	385	2	0	0	NUM
ejpam-5793	385	3	20	20	NUM
ejpam-5793	385	4	40	40	NUM
ejpam-5793	385	5	a	a	DET
ejpam-5793	385	6	g	g	NOUN
ejpam-5793	385	7	a	a	DET
ejpam-5793	385	8	m	m	NOUN
ejpam-5793	385	9	m	m	VERB
ejpam-5793	385	10	a	a	DET
ejpam-5793	385	11	(	(	PUNCT
ejpam-5793	385	12	γ	γ	PROPN
ejpam-5793	385	13	)	)	PUNCT
ejpam-5793	385	14	η	η	PROPN
ejpam-5793	385	15	=	=	SYM
ejpam-5793	385	16	1	1	NUM
ejpam-5793	385	17	η	η	NOUN
ejpam-5793	385	18	=	=	PROPN
ejpam-5793	385	19	0.9	0.9	NUM
ejpam-5793	385	20	η	η	X
ejpam-5793	385	21	=	=	SYM
ejpam-5793	385	22	0.7	0.7	NUM
ejpam-5793	385	23	η=0.5	η=0.5	NOUN
ejpam-5793	385	24	figure	figure	NOUN
ejpam-5793	385	25	8	8	NUM
ejpam-5793	385	26	:	:	PUNCT
ejpam-5793	385	27	numerical	numerical	ADJ
ejpam-5793	385	28	solution	solution	NOUN
ejpam-5793	385	29	of	of	ADP
ejpam-5793	385	30	∆	∆	PROPN
ejpam-5793	385	31	and	and	CCONJ
ejpam-5793	385	32	γ	γ	NOUN
ejpam-5793	385	33	for	for	ADP
ejpam-5793	385	34	the	the	DET
ejpam-5793	385	35	digital	digital	ADJ
ejpam-5793	385	36	option	option	NOUN
ejpam-5793	385	37	with	with	ADP
ejpam-5793	385	38	fractional	fractional	ADJ
ejpam-5793	385	39	orders	order	NOUN
ejpam-5793	385	40	η	η	PROPN
ejpam-5793	385	41	in	in	ADP
ejpam-5793	385	42	problem	problem	NOUN
ejpam-5793	385	43	5	5	NUM
ejpam-5793	385	44	.	.	PUNCT
ejpam-5793	385	45	method	method	NOUN
ejpam-5793	385	46	for	for	ADP
ejpam-5793	385	47	various	various	ADJ
ejpam-5793	385	48	fractional	fractional	ADJ
ejpam-5793	385	49	orders	order	NOUN
ejpam-5793	385	50	are	be	AUX
ejpam-5793	385	51	illustrated	illustrate	VERB
ejpam-5793	385	52	in	in	ADP
ejpam-5793	385	53	figure	figure	NOUN
ejpam-5793	385	54	11	11	NUM
ejpam-5793	385	55	.	.	PUNCT
ejpam-5793	386	1	specifically	specifically	ADV
ejpam-5793	386	2	,	,	PUNCT
ejpam-5793	386	3	figure	figure	VERB
ejpam-5793	386	4	12	12	NUM
ejpam-5793	386	5	depicts	depict	VERB
ejpam-5793	386	6	the	the	DET
ejpam-5793	386	7	numerical	numerical	ADJ
ejpam-5793	386	8	solution	solution	NOUN
ejpam-5793	386	9	for	for	ADP
ejpam-5793	386	10	a	a	DET
ejpam-5793	386	11	european	european	ADJ
ejpam-5793	386	12	call	call	NOUN
ejpam-5793	386	13	option	option	NOUN
ejpam-5793	386	14	with	with	ADP
ejpam-5793	386	15	η	η	PROPN
ejpam-5793	386	16	=	=	PROPN
ejpam-5793	386	17	0.7	0.7	NUM
ejpam-5793	386	18	and	and	CCONJ
ejpam-5793	386	19	m	m	PROPN
ejpam-5793	386	20	=	=	ADJ
ejpam-5793	386	21	41	41	NUM
ejpam-5793	386	22	.	.	PUNCT
ejpam-5793	386	23	table	table	NOUN
ejpam-5793	386	24	3	3	NUM
ejpam-5793	386	25	:	:	PUNCT
ejpam-5793	386	26	a	a	DET
ejpam-5793	386	27	comparison	comparison	NOUN
ejpam-5793	386	28	of	of	ADP
ejpam-5793	386	29	the	the	DET
ejpam-5793	386	30	proposed	propose	VERB
ejpam-5793	386	31	approach	approach	NOUN
ejpam-5793	386	32	with	with	ADP
ejpam-5793	386	33	the	the	DET
ejpam-5793	386	34	methods	method	NOUN
ejpam-5793	386	35	in	in	ADP
ejpam-5793	386	36	reported	report	VERB
ejpam-5793	386	37	in	in	ADP
ejpam-5793	386	38	[	[	X
ejpam-5793	386	39	1	1	NUM
ejpam-5793	386	40	,	,	PUNCT
ejpam-5793	386	41	18	18	NUM
ejpam-5793	386	42	]	]	PUNCT
ejpam-5793	386	43	is	be	AUX
ejpam-5793	386	44	made	make	VERB
ejpam-5793	386	45	using	use	VERB
ejpam-5793	386	46	l∞	l∞	NOUN
ejpam-5793	386	47	norms	norm	NOUN
ejpam-5793	386	48	for	for	ADP
ejpam-5793	386	49	problem	problem	NOUN
ejpam-5793	386	50	5	5	NUM
ejpam-5793	386	51	.	.	PUNCT
ejpam-5793	387	1	m	m	VERB
ejpam-5793	387	2	=	=	NOUN
ejpam-5793	388	1	64	64	NUM
ejpam-5793	388	2	m	m	NOUN
ejpam-5793	388	3	=	=	SYM
ejpam-5793	388	4	128	128	NUM
ejpam-5793	388	5	η	η	PROPN
ejpam-5793	388	6	proposed	propose	VERB
ejpam-5793	388	7	method	method	NOUN
ejpam-5793	388	8	cdm[18	cdm[18	PROPN
ejpam-5793	388	9	]	]	PUNCT
ejpam-5793	388	10	lrbfcm	lrbfcm	PROPN
ejpam-5793	389	1	[	[	X
ejpam-5793	389	2	1	1	X
ejpam-5793	389	3	]	]	PUNCT
ejpam-5793	389	4	proposed	propose	VERB
ejpam-5793	389	5	method	method	NOUN
ejpam-5793	389	6	cdm[18	cdm[18	PROPN
ejpam-5793	389	7	]	]	PUNCT
ejpam-5793	389	8	lrbfcm	lrbfcm	PROPN
ejpam-5793	390	1	[	[	X
ejpam-5793	390	2	1	1	X
ejpam-5793	390	3	]	]	SYM
ejpam-5793	390	4	0.1	0.1	NUM
ejpam-5793	390	5	9.7328e−4	9.7328e−4	PROPN
ejpam-5793	390	6	1.2029e−3	1.2029e−3	NUM
ejpam-5793	390	7	3.7775e−3	3.7775e−3	NUM
ejpam-5793	390	8	1.8301e−4	1.8301e−4	ADJ
ejpam-5793	391	1	2.9366e−4	2.9366e−4	PROPN
ejpam-5793	391	2	9.4820e−4	9.4820e−4	NOUN
ejpam-5793	391	3	0.3	0.3	NUM
ejpam-5793	391	4	9.4581e−4	9.4581e−4	NOUN
ejpam-5793	391	5	1.1477e−3	1.1477e−3	NOUN
ejpam-5793	392	1	3.6010e−3	3.6010e−3	ADJ
ejpam-5793	392	2	1.5016e−4	1.5016e−4	PROPN
ejpam-5793	392	3	2.7890e−4	2.7890e−4	NOUN
ejpam-5793	392	4	9.0293e−4	9.0293e−4	NUM
ejpam-5793	392	5	0.5	0.5	NUM
ejpam-5793	392	6	8.5899e−4	8.5899e−4	PROPN
ejpam-5793	392	7	1.0952e−3	1.0952e−3	PROPN
ejpam-5793	393	1	3.4144e−3	3.4144e−3	PROPN
ejpam-5793	393	2	1.0164e−4	1.0164e−4	PROPN
ejpam-5793	394	1	2.6816e−4	2.6816e−4	NOUN
ejpam-5793	394	2	8.5492e−4	8.5492e−4	NOUN
ejpam-5793	394	3	0.7	0.7	NUM
ejpam-5793	394	4	8.1536e−4	8.1536e−4	NOUN
ejpam-5793	394	5	1.0831e−3	1.0831e−3	PROPN
ejpam-5793	394	6	3.2257e−3	3.2257e−3	PROPN
ejpam-5793	394	7	9.6493e−5	9.6493e−5	NUM
ejpam-5793	395	1	2.6511e−4	2.6511e−4	NUM
ejpam-5793	395	2	8.0467e−4	8.0467e−4	NOUN
ejpam-5793	395	3	0.9	0.9	NUM
ejpam-5793	395	4	7.9455e−4	7.9455e−4	NOUN
ejpam-5793	395	5	1.1384e−3	1.1384e−3	NUM
ejpam-5793	396	1	3.0512e−3	3.0512e−3	ADJ
ejpam-5793	396	2	8.8433e−5	8.8433e−5	NOUN
ejpam-5793	396	3	2.7875e−4	2.7875e−4	PROPN
ejpam-5793	397	1	7.7231e−4	7.7231e−4	PROPN
ejpam-5793	397	2	imtiaz	imtiaz	PROPN
ejpam-5793	397	3	ahmad	ahmad	PROPN
ejpam-5793	397	4	et	et	PROPN
ejpam-5793	397	5	al	al	PROPN
ejpam-5793	397	6	.	.	PUNCT
ejpam-5793	397	7	/	/	SYM
ejpam-5793	397	8	eur	eur	PROPN
ejpam-5793	397	9	.	.	PUNCT
ejpam-5793	398	1	j.	j.	PROPN
ejpam-5793	398	2	pure	pure	PROPN
ejpam-5793	398	3	appl	appl	PROPN
ejpam-5793	398	4	.	.	PROPN
ejpam-5793	398	5	math	math	PROPN
ejpam-5793	398	6	,	,	PUNCT
ejpam-5793	398	7	18	18	NUM
ejpam-5793	398	8	(	(	PUNCT
ejpam-5793	398	9	1	1	NUM
ejpam-5793	398	10	)	)	PUNCT
ejpam-5793	398	11	(	(	PUNCT
ejpam-5793	398	12	2025	2025	NUM
ejpam-5793	398	13	)	)	PUNCT
ejpam-5793	398	14	,	,	PUNCT
ejpam-5793	398	15	5793	5793	NUM
ejpam-5793	398	16	19	19	NUM
ejpam-5793	398	17	of	of	ADP
ejpam-5793	398	18	27	27	NUM
ejpam-5793	398	19	0	0	NUM
ejpam-5793	398	20	5	5	NUM
ejpam-5793	398	21	10	10	NUM
ejpam-5793	398	22	15	15	NUM
ejpam-5793	398	23	0	0	NUM
ejpam-5793	398	24	0.05	0.05	NUM
ejpam-5793	398	25	0.1	0.1	NUM
ejpam-5793	398	26	0.15	0.15	NUM
ejpam-5793	398	27	0.2	0.2	NUM
ejpam-5793	398	28	0.25	0.25	NUM
ejpam-5793	398	29	0.3	0.3	NUM
ejpam-5793	398	30	0.35	0.35	NUM
ejpam-5793	398	31	0.4	0.4	NUM
ejpam-5793	398	32	a	a	DET
ejpam-5793	398	33	o	o	NOUN
ejpam-5793	398	34	p	p	X
ejpam-5793	398	35	ti	ti	NOUN
ejpam-5793	398	36	o	o	NOUN
ejpam-5793	399	1	n	n	CCONJ
ejpam-5793	399	2	p	p	PROPN
ejpam-5793	399	3	ri	ri	PROPN
ejpam-5793	399	4	ce	ce	PROPN
ejpam-5793	399	5	η=0.5	η=0.5	PROPN
ejpam-5793	399	6	η=0.7	η=0.7	ADJ
ejpam-5793	399	7	η=0.9	η=0.9	PROPN
ejpam-5793	399	8	η=1	η=1	NOUN
ejpam-5793	399	9	figure	figure	NOUN
ejpam-5793	399	10	9	9	NUM
ejpam-5793	399	11	:	:	PUNCT
ejpam-5793	399	12	numerical	numerical	ADJ
ejpam-5793	399	13	solution	solution	NOUN
ejpam-5793	399	14	of	of	ADP
ejpam-5793	399	15	the	the	DET
ejpam-5793	399	16	fractional	fractional	ADJ
ejpam-5793	399	17	-	-	PUNCT
ejpam-5793	399	18	order	order	NOUN
ejpam-5793	399	19	η	η	NOUN
ejpam-5793	399	20	the	the	DET
ejpam-5793	399	21	double	double	ADJ
ejpam-5793	399	22	barrier	barrier	NOUN
ejpam-5793	399	23	option	option	NOUN
ejpam-5793	399	24	for	for	ADP
ejpam-5793	399	25	test	test	NOUN
ejpam-5793	399	26	problem	problem	NOUN
ejpam-5793	399	27	5	5	NUM
ejpam-5793	399	28	.	.	NOUN
ejpam-5793	399	29	0	0	NUM
ejpam-5793	399	30	5	5	NUM
ejpam-5793	399	31	10	10	NUM
ejpam-5793	399	32	15	15	NUM
ejpam-5793	399	33	0	0	NUM
ejpam-5793	399	34	0.5	0.5	NUM
ejpam-5793	399	35	1	1	NUM
ejpam-5793	399	36	0	0	NUM
ejpam-5793	399	37	2	2	NUM
ejpam-5793	399	38	4	4	NUM
ejpam-5793	399	39	6	6	NUM
ejpam-5793	399	40	8	8	NUM
ejpam-5793	399	41	10	10	NUM
ejpam-5793	399	42	at	at	ADP
ejpam-5793	399	43	o	o	PROPN
ejpam-5793	399	44	p	p	X
ejpam-5793	399	45	ti	ti	X
ejpam-5793	399	46	o	o	NOUN
ejpam-5793	399	47	n	n	CCONJ
ejpam-5793	399	48	p	p	X
ejpam-5793	399	49	ri	ri	PROPN
ejpam-5793	399	50	ce	ce	PROPN
ejpam-5793	399	51	0	0	NUM
ejpam-5793	399	52	5	5	NUM
ejpam-5793	399	53	10	10	NUM
ejpam-5793	399	54	15	15	NUM
ejpam-5793	399	55	0	0	NUM
ejpam-5793	400	1	0.5	0.5	NUM
ejpam-5793	400	2	1	1	NUM
ejpam-5793	400	3	0	0	NUM
ejpam-5793	400	4	2	2	NUM
ejpam-5793	400	5	4	4	NUM
ejpam-5793	400	6	6	6	NUM
ejpam-5793	400	7	8	8	NUM
ejpam-5793	400	8	10	10	NUM
ejpam-5793	400	9	at	at	ADP
ejpam-5793	400	10	o	o	PROPN
ejpam-5793	400	11	p	p	X
ejpam-5793	400	12	ti	ti	X
ejpam-5793	400	13	o	o	NOUN
ejpam-5793	401	1	n	n	CCONJ
ejpam-5793	401	2	p	p	PROPN
ejpam-5793	401	3	ri	ri	PROPN
ejpam-5793	401	4	ce	ce	PROPN
ejpam-5793	401	5	figure	figure	NOUN
ejpam-5793	401	6	10	10	NUM
ejpam-5793	401	7	:	:	PUNCT
ejpam-5793	402	1	numerical	numerical	ADJ
ejpam-5793	402	2	solution	solution	NOUN
ejpam-5793	402	3	of	of	ADP
ejpam-5793	402	4	the	the	DET
ejpam-5793	402	5	double	double	ADJ
ejpam-5793	402	6	barrier	barrier	NOUN
ejpam-5793	402	7	option	option	NOUN
ejpam-5793	402	8	for	for	ADP
ejpam-5793	402	9	fractional	fractional	ADJ
ejpam-5793	402	10	orders	order	NOUN
ejpam-5793	402	11	η	η	NOUN
ejpam-5793	402	12	=	=	SYM
ejpam-5793	402	13	0.3	0.3	NUM
ejpam-5793	402	14	(	(	PUNCT
ejpam-5793	402	15	left	left	ADJ
ejpam-5793	402	16	)	)	PUNCT
ejpam-5793	402	17	and	and	CCONJ
ejpam-5793	402	18	η	η	PROPN
ejpam-5793	402	19	=	=	SYM
ejpam-5793	402	20	0.7	0.7	NUM
ejpam-5793	402	21	(	(	PUNCT
ejpam-5793	402	22	right	right	ADJ
ejpam-5793	402	23	)	)	PUNCT
ejpam-5793	402	24	in	in	ADP
ejpam-5793	402	25	problem	problem	NOUN
ejpam-5793	402	26	5	5	NUM
ejpam-5793	402	27	.	.	NOUN
ejpam-5793	402	28	0	0	NUM
ejpam-5793	403	1	0.2	0.2	NUM
ejpam-5793	403	2	0.4	0.4	NUM
ejpam-5793	403	3	0.6	0.6	NUM
ejpam-5793	403	4	0.8	0.8	NUM
ejpam-5793	403	5	1	1	NUM
ejpam-5793	403	6	0	0	NUM
ejpam-5793	403	7	10	10	NUM
ejpam-5793	403	8	20	20	NUM
ejpam-5793	403	9	30	30	NUM
ejpam-5793	403	10	40	40	NUM
ejpam-5793	403	11	0	0	NUM
ejpam-5793	403	12	10	10	NUM
ejpam-5793	403	13	20	20	NUM
ejpam-5793	403	14	30	30	NUM
ejpam-5793	403	15	40	40	NUM
ejpam-5793	403	16	ta	ta	ADP
ejpam-5793	403	17	o	o	X
ejpam-5793	403	18	p	p	X
ejpam-5793	403	19	ti	ti	X
ejpam-5793	403	20	o	o	NOUN
ejpam-5793	403	21	n	n	CCONJ
ejpam-5793	403	22	p	p	PROPN
ejpam-5793	403	23	ri	ri	PROPN
ejpam-5793	403	24	ce	ce	PROPN
ejpam-5793	403	25	figure	figure	NOUN
ejpam-5793	403	26	12	12	NUM
ejpam-5793	403	27	:	:	PUNCT
ejpam-5793	403	28	numerical	numerical	ADJ
ejpam-5793	403	29	solution	solution	NOUN
ejpam-5793	403	30	of	of	ADP
ejpam-5793	403	31	the	the	DET
ejpam-5793	403	32	european	european	ADJ
ejpam-5793	403	33	option	option	NOUN
ejpam-5793	403	34	for	for	ADP
ejpam-5793	403	35	m	m	PROPN
ejpam-5793	403	36	=	=	SYM
ejpam-5793	403	37	41	41	NUM
ejpam-5793	403	38	and	and	CCONJ
ejpam-5793	403	39	η	η	PROPN
ejpam-5793	403	40	=	=	PROPN
ejpam-5793	403	41	0.7	0.7	NUM
ejpam-5793	403	42	in	in	ADP
ejpam-5793	403	43	problem	problem	NOUN
ejpam-5793	403	44	5	5	NUM
ejpam-5793	403	45	.	.	PUNCT
ejpam-5793	404	1	imtiaz	imtiaz	PROPN
ejpam-5793	404	2	ahmad	ahmad	PROPN
ejpam-5793	404	3	et	et	PROPN
ejpam-5793	404	4	al	al	PROPN
ejpam-5793	404	5	.	.	PUNCT
ejpam-5793	404	6	/	/	SYM
ejpam-5793	404	7	eur	eur	PROPN
ejpam-5793	404	8	.	.	PUNCT
ejpam-5793	405	1	j.	j.	PROPN
ejpam-5793	405	2	pure	pure	PROPN
ejpam-5793	405	3	appl	appl	PROPN
ejpam-5793	405	4	.	.	PROPN
ejpam-5793	405	5	math	math	PROPN
ejpam-5793	405	6	,	,	PUNCT
ejpam-5793	405	7	18	18	NUM
ejpam-5793	405	8	(	(	PUNCT
ejpam-5793	405	9	1	1	NUM
ejpam-5793	405	10	)	)	PUNCT
ejpam-5793	405	11	(	(	PUNCT
ejpam-5793	405	12	2025	2025	NUM
ejpam-5793	405	13	)	)	PUNCT
ejpam-5793	405	14	,	,	PUNCT
ejpam-5793	405	15	5793	5793	NUM
ejpam-5793	405	16	20	20	NUM
ejpam-5793	405	17	of	of	ADP
ejpam-5793	405	18	27	27	NUM
ejpam-5793	405	19	0	0	NUM
ejpam-5793	405	20	5	5	NUM
ejpam-5793	405	21	10	10	NUM
ejpam-5793	405	22	15	15	NUM
ejpam-5793	405	23	20	20	NUM
ejpam-5793	405	24	25	25	NUM
ejpam-5793	405	25	30	30	NUM
ejpam-5793	405	26	35	35	NUM
ejpam-5793	405	27	40	40	NUM
ejpam-5793	405	28	0	0	NUM
ejpam-5793	405	29	5	5	NUM
ejpam-5793	405	30	10	10	NUM
ejpam-5793	405	31	15	15	NUM
ejpam-5793	405	32	20	20	NUM
ejpam-5793	405	33	25	25	NUM
ejpam-5793	405	34	30	30	NUM
ejpam-5793	405	35	a	a	DET
ejpam-5793	405	36	o	o	NOUN
ejpam-5793	405	37	p	p	X
ejpam-5793	405	38	ti	ti	NOUN
ejpam-5793	405	39	o	o	NOUN
ejpam-5793	405	40	n	n	CCONJ
ejpam-5793	405	41	p	p	PROPN
ejpam-5793	405	42	ri	ri	PROPN
ejpam-5793	405	43	ce	ce	PROPN
ejpam-5793	405	44	η=0.3	η=0.3	PROPN
ejpam-5793	405	45	η=0.5	η=0.5	NOUN
ejpam-5793	405	46	η=0.7	η=0.7	ADJ
ejpam-5793	405	47	η=0.9	η=0.9	PROPN
ejpam-5793	405	48	η=1	η=1	PROPN
ejpam-5793	405	49	16.15	16.15	NUM
ejpam-5793	405	50	16.16	16.16	NUM
ejpam-5793	405	51	16.17	16.17	NUM
ejpam-5793	405	52	16.18	16.18	NUM
ejpam-5793	405	53	16.19	16.19	NUM
ejpam-5793	405	54	16.2	16.2	NUM
ejpam-5793	405	55	16.21	16.21	NUM
ejpam-5793	405	56	16.22	16.22	NUM
ejpam-5793	405	57	6.65	6.65	NUM
ejpam-5793	405	58	6.66	6.66	NUM
ejpam-5793	405	59	6.67	6.67	NUM
ejpam-5793	405	60	6.68	6.68	NUM
ejpam-5793	405	61	6.69	6.69	NUM
ejpam-5793	405	62	6.7	6.7	NUM
ejpam-5793	405	63	6.71	6.71	NUM
ejpam-5793	405	64	6.72	6.72	NUM
ejpam-5793	405	65	a	a	DET
ejpam-5793	405	66	o	o	NOUN
ejpam-5793	405	67	p	p	X
ejpam-5793	405	68	ti	ti	NOUN
ejpam-5793	405	69	o	o	NOUN
ejpam-5793	405	70	n	n	CCONJ
ejpam-5793	405	71	p	p	PROPN
ejpam-5793	405	72	ri	ri	PROPN
ejpam-5793	405	73	ce	ce	PROPN
ejpam-5793	405	74	η=0.3	η=0.3	PROPN
ejpam-5793	405	75	η=0.5	η=0.5	NOUN
ejpam-5793	405	76	η=0.7	η=0.7	ADJ
ejpam-5793	405	77	η=0.9	η=0.9	PROPN
ejpam-5793	405	78	η=1	η=1	NOUN
ejpam-5793	405	79	figure	figure	NOUN
ejpam-5793	405	80	11	11	NUM
ejpam-5793	405	81	:	:	PUNCT
ejpam-5793	405	82	numerical	numerical	ADJ
ejpam-5793	405	83	solution	solution	NOUN
ejpam-5793	405	84	for	for	ADP
ejpam-5793	405	85	various	various	ADJ
ejpam-5793	405	86	values	value	NOUN
ejpam-5793	405	87	of	of	ADP
ejpam-5793	405	88	η	η	PROPN
ejpam-5793	405	89	for	for	ADP
ejpam-5793	405	90	problem	problem	NOUN
ejpam-5793	405	91	5	5	NUM
ejpam-5793	405	92	.	.	PUNCT
ejpam-5793	406	1	the	the	DET
ejpam-5793	406	2	american	american	ADJ
ejpam-5793	406	3	put	put	NOUN
ejpam-5793	406	4	option	option	NOUN
ejpam-5793	406	5	is	be	AUX
ejpam-5793	406	6	taken	take	VERB
ejpam-5793	406	7	into	into	ADP
ejpam-5793	406	8	account	account	NOUN
ejpam-5793	406	9	using	use	VERB
ejpam-5793	406	10	the	the	DET
ejpam-5793	406	11	following	following	ADJ
ejpam-5793	406	12	tfbsm	tfbsm	ADJ
ejpam-5793	406	13	,	,	PUNCT
ejpam-5793	406	14	utilizing	utilize	VERB
ejpam-5793	406	15	the	the	DET
ejpam-5793	406	16	penalty	penalty	NOUN
ejpam-5793	406	17	term	term	NOUN
ejpam-5793	406	18	method	method	NOUN
ejpam-5793	406	19	:	:	PUNCT
ejpam-5793	406	20	∂ηp	∂ηp	PROPN
ejpam-5793	406	21	∂t	∂t	PROPN
ejpam-5793	406	22	η	η	PROPN
ejpam-5793	406	23	=	=	PROPN
ejpam-5793	406	24	1	1	NUM
ejpam-5793	406	25	2	2	NUM
ejpam-5793	406	26	ς2a2	ς2a2	NOUN
ejpam-5793	406	27	∂	∂	NUM
ejpam-5793	406	28	2p	2p	NUM
ejpam-5793	406	29	∂a2	∂a2	VERB
ejpam-5793	407	1	+	+	CCONJ
ejpam-5793	408	1	ϵa∂p	ϵa∂p	PROPN
ejpam-5793	408	2	∂a	∂a	NOUN
ejpam-5793	408	3	−	−	NOUN
ejpam-5793	409	1	ϵp	ϵp	ADP
ejpam-5793	410	1	+	+	CCONJ
ejpam-5793	410	2	µc	µc	INTJ
ejpam-5793	410	3	p	p	X
ejpam-5793	410	4	+	+	NUM
ejpam-5793	410	5	µ−	µ−	PROPN
ejpam-5793	410	6	q(a	q(a	NOUN
ejpam-5793	410	7	)	)	PUNCT
ejpam-5793	410	8	,	,	PUNCT
ejpam-5793	410	9	(	(	PUNCT
ejpam-5793	410	10	a	a	X
ejpam-5793	410	11	,	,	PUNCT
ejpam-5793	410	12	t	t	NOUN
ejpam-5793	410	13	)	)	PUNCT
ejpam-5793	410	14	∈	∈	PROPN
ejpam-5793	410	15	(	(	PUNCT
ejpam-5793	410	16	0,amax)×	0,amax)×	X
ejpam-5793	410	17	(	(	PUNCT
ejpam-5793	410	18	0	0	NUM
ejpam-5793	410	19	,	,	PUNCT
ejpam-5793	410	20	t	t	NOUN
ejpam-5793	410	21	)	)	PUNCT
ejpam-5793	410	22	,	,	PUNCT
ejpam-5793	410	23	p(0	p(0	PROPN
ejpam-5793	410	24	,	,	PUNCT
ejpam-5793	410	25	t	t	NOUN
ejpam-5793	410	26	)	)	PUNCT
ejpam-5793	411	1	=	=	SYM
ejpam-5793	411	2	e	e	NOUN
ejpam-5793	411	3	,	,	PUNCT
ejpam-5793	411	4	p(amax	p(amax	NOUN
ejpam-5793	411	5	,	,	PUNCT
ejpam-5793	411	6	t	t	NOUN
ejpam-5793	411	7	)	)	PUNCT
ejpam-5793	411	8	=	=	SYM
ejpam-5793	411	9	0	0	NUM
ejpam-5793	411	10	,	,	PUNCT
ejpam-5793	411	11	t	t	PROPN
ejpam-5793	411	12	∈	∈	PROPN
ejpam-5793	411	13	(	(	PUNCT
ejpam-5793	411	14	0	0	NUM
ejpam-5793	411	15	,	,	PUNCT
ejpam-5793	411	16	t	t	NOUN
ejpam-5793	411	17	)	)	PUNCT
ejpam-5793	411	18	,	,	PUNCT
ejpam-5793	411	19	p(a	p(a	PROPN
ejpam-5793	411	20	,	,	PUNCT
ejpam-5793	411	21	0	0	NUM
ejpam-5793	411	22	)	)	PUNCT
ejpam-5793	411	23	=	=	SYM
ejpam-5793	411	24	max(e	max(e	PROPN
ejpam-5793	411	25	−	−	PROPN
ejpam-5793	411	26	a	a	NOUN
ejpam-5793	411	27	,	,	PUNCT
ejpam-5793	411	28	0	0	NUM
ejpam-5793	411	29	)	)	PUNCT
ejpam-5793	411	30	.	.	PUNCT
ejpam-5793	412	1	(	(	PUNCT
ejpam-5793	412	2	43	43	NUM
ejpam-5793	412	3	)	)	PUNCT
ejpam-5793	412	4	with	with	ADP
ejpam-5793	412	5	parameters	parameter	NOUN
ejpam-5793	412	6	e	e	NOUN
ejpam-5793	412	7	=	=	SYM
ejpam-5793	412	8	1	1	NUM
ejpam-5793	412	9	,	,	PUNCT
ejpam-5793	412	10	ϵ	ϵ	X
ejpam-5793	412	11	=	=	SYM
ejpam-5793	412	12	0.1	0.1	NUM
ejpam-5793	412	13	,	,	PUNCT
ejpam-5793	412	14	ς	ς	PROPN
ejpam-5793	412	15	=	=	PUNCT
ejpam-5793	412	16	0.2	0.2	NUM
ejpam-5793	412	17	,	,	PUNCT
ejpam-5793	412	18	c	c	NOUN
ejpam-5793	412	19	=	=	SYM
ejpam-5793	412	20	re	re	X
ejpam-5793	412	21	,	,	PUNCT
ejpam-5793	412	22	µ	µ	X
ejpam-5793	412	23	=	=	SYM
ejpam-5793	412	24	0.01	0.01	NUM
ejpam-5793	412	25	,	,	PUNCT
ejpam-5793	412	26	q(a	q(a	PROPN
ejpam-5793	412	27	)	)	PUNCT
ejpam-5793	413	1	=	=	PUNCT
ejpam-5793	413	2	e	e	X
ejpam-5793	413	3	−	−	PROPN
ejpam-5793	413	4	a	a	X
ejpam-5793	413	5	,	,	PUNCT
ejpam-5793	413	6	amax	amax	PROPN
ejpam-5793	413	7	=	=	SYM
ejpam-5793	413	8	2	2	NUM
ejpam-5793	413	9	and	and	CCONJ
ejpam-5793	413	10	t	t	NOUN
ejpam-5793	413	11	=	=	SYM
ejpam-5793	413	12	1	1	X
ejpam-5793	413	13	.	.	PUNCT
ejpam-5793	414	1	the	the	DET
ejpam-5793	414	2	model	model	NOUN
ejpam-5793	414	3	equation	equation	NOUN
ejpam-5793	414	4	presented	present	VERB
ejpam-5793	414	5	in	in	ADP
ejpam-5793	414	6	eq	eq	ADP
ejpam-5793	414	7	.	.	PUNCT
ejpam-5793	415	1	(	(	PUNCT
ejpam-5793	415	2	43	43	NUM
ejpam-5793	415	3	)	)	PUNCT
ejpam-5793	415	4	does	do	AUX
ejpam-5793	415	5	not	not	PART
ejpam-5793	415	6	have	have	VERB
ejpam-5793	415	7	an	an	DET
ejpam-5793	415	8	exact	exact	ADJ
ejpam-5793	415	9	solution	solution	NOUN
ejpam-5793	415	10	.	.	PUNCT
ejpam-5793	416	1	to	to	PART
ejpam-5793	416	2	evaluate	evaluate	VERB
ejpam-5793	416	3	accuracy	accuracy	NOUN
ejpam-5793	416	4	,	,	PUNCT
ejpam-5793	416	5	we	we	PRON
ejpam-5793	416	6	applied	apply	VERB
ejpam-5793	416	7	the	the	DET
ejpam-5793	416	8	double	double	ADJ
ejpam-5793	416	9	mesh	mesh	NOUN
ejpam-5793	416	10	procedure	procedure	NOUN
ejpam-5793	416	11	.	.	PUNCT
ejpam-5793	417	1	table	table	NOUN
ejpam-5793	417	2	4	4	NUM
ejpam-5793	417	3	presents	present	VERB
ejpam-5793	417	4	a	a	DET
ejpam-5793	417	5	comparison	comparison	NOUN
ejpam-5793	417	6	for	for	ADP
ejpam-5793	417	7	η	η	PROPN
ejpam-5793	417	8	=	=	PROPN
ejpam-5793	417	9	1	1	NUM
ejpam-5793	417	10	between	between	ADP
ejpam-5793	417	11	the	the	DET
ejpam-5793	417	12	proposed	propose	VERB
ejpam-5793	417	13	method	method	NOUN
ejpam-5793	417	14	and	and	CCONJ
ejpam-5793	417	15	the	the	DET
ejpam-5793	417	16	reference	reference	NOUN
ejpam-5793	417	17	price	price	NOUN
ejpam-5793	418	1	[	[	X
ejpam-5793	418	2	25	25	NUM
ejpam-5793	418	3	]	]	PUNCT
ejpam-5793	418	4	,	,	PUNCT
ejpam-5793	418	5	along	along	ADP
ejpam-5793	418	6	with	with	ADP
ejpam-5793	418	7	other	other	ADJ
ejpam-5793	418	8	current	current	ADJ
ejpam-5793	418	9	methodologies	methodology	NOUN
ejpam-5793	418	10	[	[	X
ejpam-5793	418	11	1	1	NUM
ejpam-5793	418	12	,	,	PUNCT
ejpam-5793	418	13	25	25	NUM
ejpam-5793	418	14	,	,	PUNCT
ejpam-5793	418	15	34	34	NUM
ejpam-5793	418	16	]	]	PUNCT
ejpam-5793	418	17	.	.	PUNCT
ejpam-5793	419	1	additionally	additionally	ADV
ejpam-5793	419	2	,	,	PUNCT
ejpam-5793	419	3	the	the	DET
ejpam-5793	419	4	numerical	numerical	ADJ
ejpam-5793	419	5	solutions	solution	NOUN
ejpam-5793	419	6	for	for	ADP
ejpam-5793	419	7	various	various	ADJ
ejpam-5793	419	8	values	value	NOUN
ejpam-5793	419	9	ofm	ofm	PROPN
ejpam-5793	419	10	and	and	CCONJ
ejpam-5793	419	11	η	η	PROPN
ejpam-5793	419	12	are	be	AUX
ejpam-5793	419	13	provided	provide	VERB
ejpam-5793	419	14	in	in	ADP
ejpam-5793	419	15	table	table	NOUN
ejpam-5793	419	16	5	5	NUM
ejpam-5793	419	17	.	.	PUNCT
ejpam-5793	419	18	figure	figure	VERB
ejpam-5793	419	19	13	13	NUM
ejpam-5793	419	20	displays	display	NOUN
ejpam-5793	419	21	the	the	DET
ejpam-5793	419	22	matching	match	VERB
ejpam-5793	419	23	slopes	slope	NOUN
ejpam-5793	419	24	and	and	CCONJ
ejpam-5793	419	25	convergence	convergence	NOUN
ejpam-5793	419	26	rates	rate	NOUN
ejpam-5793	419	27	.	.	PUNCT
ejpam-5793	420	1	moreover	moreover	ADV
ejpam-5793	420	2	,	,	PUNCT
ejpam-5793	420	3	figure	figure	VERB
ejpam-5793	420	4	14	14	NUM
ejpam-5793	420	5	shows	show	VERB
ejpam-5793	420	6	a	a	DET
ejpam-5793	420	7	surface	surface	NOUN
ejpam-5793	420	8	plot	plot	NOUN
ejpam-5793	420	9	for	for	ADP
ejpam-5793	420	10	an	an	DET
ejpam-5793	420	11	american	american	ADJ
ejpam-5793	420	12	put	put	NOUN
ejpam-5793	420	13	option	option	NOUN
ejpam-5793	420	14	with	with	ADP
ejpam-5793	420	15	parameters	parameter	NOUN
ejpam-5793	420	16	η	η	PROPN
ejpam-5793	420	17	=	=	PROPN
ejpam-5793	420	18	0.5	0.5	NUM
ejpam-5793	420	19	and	and	CCONJ
ejpam-5793	420	20	m	m	NOUN
ejpam-5793	420	21	=	=	ADJ
ejpam-5793	420	22	21	21	NUM
ejpam-5793	420	23	.	.	PUNCT
ejpam-5793	421	1	imtiaz	imtiaz	PROPN
ejpam-5793	421	2	ahmad	ahmad	PROPN
ejpam-5793	421	3	et	et	PROPN
ejpam-5793	421	4	al	al	PROPN
ejpam-5793	421	5	.	.	PUNCT
ejpam-5793	421	6	/	/	SYM
ejpam-5793	421	7	eur	eur	PROPN
ejpam-5793	421	8	.	.	PUNCT
ejpam-5793	422	1	j.	j.	PROPN
ejpam-5793	422	2	pure	pure	PROPN
ejpam-5793	422	3	appl	appl	PROPN
ejpam-5793	422	4	.	.	PROPN
ejpam-5793	422	5	math	math	PROPN
ejpam-5793	422	6	,	,	PUNCT
ejpam-5793	422	7	18	18	NUM
ejpam-5793	422	8	(	(	PUNCT
ejpam-5793	422	9	1	1	NUM
ejpam-5793	422	10	)	)	PUNCT
ejpam-5793	422	11	(	(	PUNCT
ejpam-5793	422	12	2025	2025	NUM
ejpam-5793	422	13	)	)	PUNCT
ejpam-5793	422	14	,	,	PUNCT
ejpam-5793	422	15	5793	5793	NUM
ejpam-5793	422	16	21	21	NUM
ejpam-5793	422	17	of	of	ADP
ejpam-5793	422	18	27	27	NUM
ejpam-5793	422	19	table	table	NOUN
ejpam-5793	422	20	4	4	NUM
ejpam-5793	422	21	:	:	PUNCT
ejpam-5793	422	22	a	a	DET
ejpam-5793	422	23	comparison	comparison	NOUN
ejpam-5793	422	24	of	of	ADP
ejpam-5793	422	25	the	the	DET
ejpam-5793	422	26	proposed	propose	VERB
ejpam-5793	422	27	approach	approach	NOUN
ejpam-5793	422	28	with	with	ADP
ejpam-5793	422	29	a	a	DET
ejpam-5793	422	30	reference	reference	NOUN
ejpam-5793	422	31	solution	solution	NOUN
ejpam-5793	422	32	[	[	X
ejpam-5793	422	33	25	25	NUM
ejpam-5793	422	34	]	]	PUNCT
ejpam-5793	422	35	,	,	PUNCT
ejpam-5793	422	36	obtained	obtain	VERB
ejpam-5793	422	37	using	use	VERB
ejpam-5793	422	38	very	very	ADV
ejpam-5793	422	39	fine	fine	ADJ
ejpam-5793	422	40	nodes	node	NOUN
ejpam-5793	422	41	,	,	PUNCT
ejpam-5793	422	42	as	as	ADV
ejpam-5793	422	43	well	well	ADV
ejpam-5793	422	44	as	as	ADP
ejpam-5793	422	45	with	with	ADP
ejpam-5793	422	46	other	other	ADJ
ejpam-5793	422	47	methods	method	NOUN
ejpam-5793	422	48	,	,	PUNCT
ejpam-5793	422	49	is	be	AUX
ejpam-5793	422	50	presented	present	VERB
ejpam-5793	422	51	for	for	ADP
ejpam-5793	422	52	t	t	NOUN
ejpam-5793	422	53	=	=	SYM
ejpam-5793	422	54	1	1	NUM
ejpam-5793	422	55	and	and	CCONJ
ejpam-5793	422	56	η	η	PROPN
ejpam-5793	422	57	=	=	SYM
ejpam-5793	422	58	1	1	NUM
ejpam-5793	422	59	values	value	NOUN
ejpam-5793	422	60	in	in	ADP
ejpam-5793	422	61	problem	problem	NOUN
ejpam-5793	422	62	5	5	NUM
ejpam-5793	422	63	.	.	PUNCT
ejpam-5793	423	1	reference	reference	NOUN
ejpam-5793	423	2	proposed	propose	VERB
ejpam-5793	423	3	lrbfcm	lrbfcm	PROPN
ejpam-5793	423	4	a	a	DET
ejpam-5793	423	5	price	price	NOUN
ejpam-5793	423	6	[	[	X
ejpam-5793	423	7	25	25	NUM
ejpam-5793	423	8	]	]	PUNCT
ejpam-5793	423	9	method	method	NOUN
ejpam-5793	423	10	[	[	X
ejpam-5793	423	11	1	1	X
ejpam-5793	423	12	]	]	X
ejpam-5793	424	1	[	[	X
ejpam-5793	424	2	25	25	NUM
ejpam-5793	424	3	]	]	X
ejpam-5793	424	4	[	[	X
ejpam-5793	424	5	34	34	NUM
ejpam-5793	424	6	]	]	SYM
ejpam-5793	424	7	0.6	0.6	NUM
ejpam-5793	424	8	0.4000037	0.4000037	NUM
ejpam-5793	424	9	0.4000039	0.4000039	NUM
ejpam-5793	424	10	0.4000043	0.4000043	NUM
ejpam-5793	424	11	0.4000176	0.4000176	NUM
ejpam-5793	424	12	0.4000185	0.4000185	NUM
ejpam-5793	424	13	0.7	0.7	NUM
ejpam-5793	424	14	0.3001161	0.3001161	NUM
ejpam-5793	424	15	0.3001180	0.3001180	NUM
ejpam-5793	424	16	0.3001216	0.3001216	NUM
ejpam-5793	424	17	0.3001007	0.3001007	NUM
ejpam-5793	424	18	0.3002333	0.3002333	NUM
ejpam-5793	424	19	0.8	0.8	NUM
ejpam-5793	424	20	0.2020397	0.2020397	NUM
ejpam-5793	424	21	0.2020307	0.2020307	NUM
ejpam-5793	424	22	0.2020324	0.2020324	NUM
ejpam-5793	424	23	0.2019901	0.2019901	NUM
ejpam-5793	424	24	0.2022428	0.2022428	NUM
ejpam-5793	424	25	0.9	0.9	NUM
ejpam-5793	424	26	0.1169591	0.1169591	NUM
ejpam-5793	424	27	0.1169463	0.1169463	NUM
ejpam-5793	424	28	0.1168272	0.1168272	NUM
ejpam-5793	424	29	0.1165422	0.1165422	NUM
ejpam-5793	424	30	0.1154885	0.1154885	NUM
ejpam-5793	424	31	1.0	1.0	NUM
ejpam-5793	424	32	0.0602833	0.0602833	NUM
ejpam-5793	424	33	0.0602845	0.0602845	NUM
ejpam-5793	424	34	0.0601380	0.0601380	NUM
ejpam-5793	424	35	0.0597033	0.0597033	NUM
ejpam-5793	424	36	0.0580422	0.0580422	NUM
ejpam-5793	424	37	1.1	1.1	NUM
ejpam-5793	424	38	0.0293272	0.0293272	NUM
ejpam-5793	424	39	0.0293238	0.0293238	NUM
ejpam-5793	424	40	0.0292004	0.0292004	NUM
ejpam-5793	424	41	0.0287648	0.0287648	NUM
ejpam-5793	424	42	0.0276763	0.0276763	NUM
ejpam-5793	424	43	1.2	1.2	NUM
ejpam-5793	424	44	0.0140864	0.0140864	NUM
ejpam-5793	424	45	0.0140863	0.0140863	NUM
ejpam-5793	424	46	0.0140160	0.0140160	NUM
ejpam-5793	424	47	0.0136840	0.0136840	NUM
ejpam-5793	424	48	0.0132349	0.0132349	NUM
ejpam-5793	424	49	1.3	1.3	NUM
ejpam-5793	424	50	0.0070408	0.0070408	NUM
ejpam-5793	424	51	0.0070417	0.0070417	NUM
ejpam-5793	424	52	0.0070086	0.0070086	NUM
ejpam-5793	424	53	0.0068192	0.0068192	NUM
ejpam-5793	424	54	0.0066983	0.0066983	NUM
ejpam-5793	424	55	1.4	1.4	NUM
ejpam-5793	424	56	0.0038609	0.0038609	NUM
ejpam-5793	424	57	0.0038609	0.0038609	NUM
ejpam-5793	424	58	0.0038484	0.0038484	NUM
ejpam-5793	424	59	0.0037485	0.0037485	NUM
ejpam-5793	424	60	0.0037539	0.0037539	NUM
ejpam-5793	424	61	table	table	NOUN
ejpam-5793	424	62	5	5	NUM
ejpam-5793	424	63	:	:	PUNCT
ejpam-5793	424	64	comparative	comparative	ADJ
ejpam-5793	424	65	results	result	NOUN
ejpam-5793	424	66	of	of	ADP
ejpam-5793	424	67	the	the	DET
ejpam-5793	424	68	proposed	propose	VERB
ejpam-5793	424	69	approach	approach	NOUN
ejpam-5793	424	70	with	with	ADP
ejpam-5793	424	71	the	the	DET
ejpam-5793	424	72	lmcm	lmcm	NOUN
ejpam-5793	424	73	[	[	X
ejpam-5793	424	74	29	29	NUM
ejpam-5793	424	75	]	]	PUNCT
ejpam-5793	424	76	are	be	AUX
ejpam-5793	424	77	presented	present	VERB
ejpam-5793	424	78	using	use	VERB
ejpam-5793	424	79	l∞	l∞	NOUN
ejpam-5793	424	80	norms	norm	NOUN
ejpam-5793	424	81	for	for	ADP
ejpam-5793	424	82	problem	problem	NOUN
ejpam-5793	424	83	5	5	NUM
ejpam-5793	424	84	.	.	PUNCT
ejpam-5793	424	85	η	η	PROPN
ejpam-5793	424	86	method	method	PROPN
ejpam-5793	424	87	m	m	PROPN
ejpam-5793	424	88	=	=	VERB
ejpam-5793	424	89	21	21	NUM
ejpam-5793	424	90	m	m	NOUN
ejpam-5793	424	91	=	=	NOUN
ejpam-5793	424	92	41	41	NUM
ejpam-5793	424	93	m	m	NOUN
ejpam-5793	424	94	=	=	NUM
ejpam-5793	425	1	81	81	NUM
ejpam-5793	425	2	m	m	NOUN
ejpam-5793	425	3	=	=	NOUN
ejpam-5793	425	4	161	161	NUM
ejpam-5793	425	5	0.9	0.9	NUM
ejpam-5793	425	6	lrbfcm[1	lrbfcm[1	NUM
ejpam-5793	425	7	]	]	X
ejpam-5793	425	8	5.7315e−3	5.7315e−3	PROPN
ejpam-5793	425	9	8.3826e−4	8.3826e−4	PROPN
ejpam-5793	425	10	1.6169e−4	1.6169e−4	PROPN
ejpam-5793	425	11	4.7204e−5	4.7204e−5	NOUN
ejpam-5793	425	12	proposed	propose	VERB
ejpam-5793	425	13	method	method	NOUN
ejpam-5793	425	14	8.7368e−4	8.7368e−4	PROPN
ejpam-5793	425	15	2.3298e−4	2.3298e−4	NUM
ejpam-5793	426	1	6.5822e−5	6.5822e−5	NOUN
ejpam-5793	426	2	1.0377e−5	1.0377e−5	NOUN
ejpam-5793	426	3	0.7	0.7	NUM
ejpam-5793	426	4	lrbfcm[1	lrbfcm[1	PROPN
ejpam-5793	426	5	]	]	X
ejpam-5793	426	6	5.8620e−3	5.8620e−3	PROPN
ejpam-5793	426	7	1.1410e−3	1.1410e−3	NUM
ejpam-5793	426	8	2.3723e−4	2.3723e−4	PROPN
ejpam-5793	426	9	2.0000e−4	2.0000e−4	NOUN
ejpam-5793	426	10	proposed	propose	VERB
ejpam-5793	426	11	method	method	NOUN
ejpam-5793	426	12	8.9310e−4	8.9310e−4	PROPN
ejpam-5793	426	13	5.2644e−4	5.2644e−4	ADJ
ejpam-5793	426	14	7.5681e−5	7.5681e−5	NOUN
ejpam-5793	426	15	7.4367e−5	7.4367e−5	NUM
ejpam-5793	426	16	0.5	0.5	NUM
ejpam-5793	426	17	lrbfcm[1	lrbfcm[1	PROPN
ejpam-5793	426	18	]	]	X
ejpam-5793	426	19	6.0068e−3	6.0068e−3	ADJ
ejpam-5793	426	20	1.3576e−3	1.3576e−3	NOUN
ejpam-5793	426	21	7.5219e−4	7.5219e−4	NOUN
ejpam-5793	426	22	5.6710e−4	5.6710e−4	NUM
ejpam-5793	426	23	proposed	propose	VERB
ejpam-5793	426	24	method	method	NOUN
ejpam-5793	426	25	9.0376e−4	9.0376e−4	PROPN
ejpam-5793	426	26	5.5783e−4	5.5783e−4	PROPN
ejpam-5793	426	27	8.2655e−5	8.2655e−5	ADJ
ejpam-5793	426	28	9.6883e−5	9.6883e−5	NOUN
ejpam-5793	426	29	0.3	0.3	NUM
ejpam-5793	426	30	lrbfcm[1	lrbfcm[1	PROPN
ejpam-5793	426	31	]	]	X
ejpam-5793	426	32	2.3432e−3	2.3432e−3	NUM
ejpam-5793	426	33	2.5194e−3	2.5194e−3	NOUN
ejpam-5793	427	1	1.5109e−3	1.5109e−3	ADJ
ejpam-5793	428	1	6.7021e−4	6.7021e−4	NOUN
ejpam-5793	428	2	proposed	propose	VERB
ejpam-5793	428	3	method	method	NOUN
ejpam-5793	428	4	9.7833e−4	9.7833e−4	PROPN
ejpam-5793	428	5	6.8201e−4	6.8201e−4	PROPN
ejpam-5793	428	6	5.9836e−4	5.9836e−4	PROPN
ejpam-5793	428	7	1.4356e−4	1.4356e−4	PROPN
ejpam-5793	428	8	imtiaz	imtiaz	PROPN
ejpam-5793	429	1	ahmad	ahmad	PROPN
ejpam-5793	429	2	et	et	PROPN
ejpam-5793	429	3	al	al	PROPN
ejpam-5793	429	4	.	.	PUNCT
ejpam-5793	429	5	/	/	SYM
ejpam-5793	429	6	eur	eur	PROPN
ejpam-5793	429	7	.	.	PUNCT
ejpam-5793	430	1	j.	j.	PROPN
ejpam-5793	430	2	pure	pure	PROPN
ejpam-5793	430	3	appl	appl	PROPN
ejpam-5793	430	4	.	.	PROPN
ejpam-5793	430	5	math	math	PROPN
ejpam-5793	430	6	,	,	PUNCT
ejpam-5793	430	7	18	18	NUM
ejpam-5793	430	8	(	(	PUNCT
ejpam-5793	430	9	1	1	NUM
ejpam-5793	430	10	)	)	PUNCT
ejpam-5793	430	11	(	(	PUNCT
ejpam-5793	430	12	2025	2025	NUM
ejpam-5793	430	13	)	)	PUNCT
ejpam-5793	430	14	,	,	PUNCT
ejpam-5793	430	15	5793	5793	NUM
ejpam-5793	430	16	22	22	NUM
ejpam-5793	430	17	of	of	ADP
ejpam-5793	430	18	27	27	NUM
ejpam-5793	430	19	10	10	NUM
ejpam-5793	430	20	−1	−1	NOUN
ejpam-5793	430	21	10	10	NUM
ejpam-5793	430	22	−6	−6	NOUN
ejpam-5793	430	23	10	10	NUM
ejpam-5793	430	24	−5	−5	NOUN
ejpam-5793	430	25	10	10	NUM
ejpam-5793	430	26	−4	−4	NUM
ejpam-5793	430	27	10	10	NUM
ejpam-5793	430	28	−3	−3	NOUN
ejpam-5793	430	29	10	10	NUM
ejpam-5793	430	30	−2	−2	NOUN
ejpam-5793	430	31	log(h	log(h	NOUN
ejpam-5793	430	32	)	)	PUNCT
ejpam-5793	430	33	lo	lo	PROPN
ejpam-5793	430	34	g	g	PROPN
ejpam-5793	430	35	(	(	PUNCT
ejpam-5793	430	36	l	l	NOUN
ejpam-5793	430	37	∞	∞	NUM
ejpam-5793	430	38	)	)	PUNCT
ejpam-5793	430	39	η=0.3	η=0.3	PROPN
ejpam-5793	430	40	η=0.5	η=0.5	NOUN
ejpam-5793	430	41	η=0.7	η=0.7	ADJ
ejpam-5793	430	42	η=0.9	η=0.9	ADJ
ejpam-5793	430	43	figure	figure	NOUN
ejpam-5793	430	44	13	13	NUM
ejpam-5793	430	45	:	:	PUNCT
ejpam-5793	430	46	numerical	numerical	ADJ
ejpam-5793	430	47	solution	solution	NOUN
ejpam-5793	430	48	the	the	DET
ejpam-5793	430	49	proposed	propose	VERB
ejpam-5793	430	50	method	method	NOUN
ejpam-5793	430	51	in	in	ADP
ejpam-5793	430	52	terms	term	NOUN
ejpam-5793	430	53	of	of	ADP
ejpam-5793	430	54	l∞	l∞	NOUN
ejpam-5793	430	55	for	for	ADP
ejpam-5793	430	56	various	various	ADJ
ejpam-5793	430	57	spatial	spatial	ADJ
ejpam-5793	430	58	steps	step	NOUN
ejpam-5793	430	59	h	h	NOUN
ejpam-5793	430	60	in	in	ADP
ejpam-5793	430	61	problem	problem	NOUN
ejpam-5793	430	62	5	5	NUM
ejpam-5793	430	63	.	.	PUNCT
ejpam-5793	430	64	figure	figure	NOUN
ejpam-5793	430	65	14	14	NUM
ejpam-5793	430	66	:	:	PUNCT
ejpam-5793	430	67	numerical	numerical	ADJ
ejpam-5793	430	68	solution	solution	NOUN
ejpam-5793	430	69	of	of	ADP
ejpam-5793	430	70	the	the	DET
ejpam-5793	430	71	american	american	ADJ
ejpam-5793	430	72	option	option	NOUN
ejpam-5793	430	73	for	for	ADP
ejpam-5793	430	74	m	m	PROPN
ejpam-5793	430	75	=	=	SYM
ejpam-5793	430	76	21	21	NUM
ejpam-5793	430	77	and	and	CCONJ
ejpam-5793	430	78	η	η	PROPN
ejpam-5793	430	79	=	=	PROPN
ejpam-5793	430	80	0.5	0.5	NUM
ejpam-5793	430	81	in	in	ADP
ejpam-5793	430	82	problem	problem	NOUN
ejpam-5793	430	83	5	5	NUM
ejpam-5793	430	84	.	.	NOUN
ejpam-5793	430	85	6	6	NUM
ejpam-5793	430	86	.	.	X
ejpam-5793	431	1	conclusion	conclusion	NOUN
ejpam-5793	431	2	this	this	DET
ejpam-5793	431	3	study	study	NOUN
ejpam-5793	431	4	presents	present	VERB
ejpam-5793	431	5	an	an	DET
ejpam-5793	431	6	effective	effective	ADJ
ejpam-5793	431	7	numerical	numerical	ADJ
ejpam-5793	431	8	method	method	NOUN
ejpam-5793	431	9	for	for	ADP
ejpam-5793	431	10	solving	solve	VERB
ejpam-5793	431	11	the	the	DET
ejpam-5793	431	12	time	time	NOUN
ejpam-5793	431	13	-	-	PUNCT
ejpam-5793	431	14	fractional	fractional	ADJ
ejpam-5793	431	15	blackscholes	blackschole	NOUN
ejpam-5793	431	16	model	model	NOUN
ejpam-5793	431	17	for	for	ADP
ejpam-5793	431	18	various	various	ADJ
ejpam-5793	431	19	options	option	NOUN
ejpam-5793	431	20	,	,	PUNCT
ejpam-5793	431	21	including	include	VERB
ejpam-5793	431	22	both	both	DET
ejpam-5793	431	23	vanilla	vanilla	NOUN
ejpam-5793	431	24	options	option	NOUN
ejpam-5793	431	25	(	(	PUNCT
ejpam-5793	431	26	like	like	ADP
ejpam-5793	431	27	european	european	ADJ
ejpam-5793	431	28	and	and	CCONJ
ejpam-5793	431	29	american	american	ADJ
ejpam-5793	431	30	options	option	NOUN
ejpam-5793	431	31	)	)	PUNCT
ejpam-5793	431	32	and	and	CCONJ
ejpam-5793	431	33	exotic	exotic	ADJ
ejpam-5793	431	34	options	option	NOUN
ejpam-5793	431	35	(	(	PUNCT
ejpam-5793	431	36	such	such	ADJ
ejpam-5793	431	37	as	as	ADP
ejpam-5793	431	38	butterfly	butterfly	NOUN
ejpam-5793	431	39	spreads	spread	NOUN
ejpam-5793	431	40	,	,	PUNCT
ejpam-5793	431	41	double	double	ADJ
ejpam-5793	431	42	barriers	barrier	NOUN
ejpam-5793	431	43	,	,	PUNCT
ejpam-5793	431	44	and	and	CCONJ
ejpam-5793	431	45	digital	digital	ADJ
ejpam-5793	431	46	options	option	NOUN
ejpam-5793	431	47	)	)	PUNCT
ejpam-5793	431	48	.	.	PUNCT
ejpam-5793	432	1	the	the	DET
ejpam-5793	432	2	proposed	propose	VERB
ejpam-5793	432	3	hybrid	hybrid	ADJ
ejpam-5793	432	4	meshless	meshless	ADJ
ejpam-5793	432	5	technique	technique	NOUN
ejpam-5793	432	6	integrates	integrate	VERB
ejpam-5793	432	7	the	the	DET
ejpam-5793	432	8	strang	strang	PROPN
ejpam-5793	432	9	splitting	splitting	NOUN
ejpam-5793	432	10	algorithm	algorithm	PROPN
ejpam-5793	433	1	imtiaz	imtiaz	PROPN
ejpam-5793	434	1	ahmad	ahmad	PROPN
ejpam-5793	434	2	et	et	PROPN
ejpam-5793	434	3	al	al	PROPN
ejpam-5793	434	4	.	.	PUNCT
ejpam-5793	434	5	/	/	SYM
ejpam-5793	434	6	eur	eur	PROPN
ejpam-5793	434	7	.	.	PUNCT
ejpam-5793	435	1	j.	j.	PROPN
ejpam-5793	435	2	pure	pure	PROPN
ejpam-5793	435	3	appl	appl	PROPN
ejpam-5793	435	4	.	.	PROPN
ejpam-5793	435	5	math	math	PROPN
ejpam-5793	435	6	,	,	PUNCT
ejpam-5793	435	7	18	18	NUM
ejpam-5793	435	8	(	(	PUNCT
ejpam-5793	435	9	1	1	NUM
ejpam-5793	435	10	)	)	PUNCT
ejpam-5793	435	11	(	(	PUNCT
ejpam-5793	435	12	2025	2025	NUM
ejpam-5793	435	13	)	)	PUNCT
ejpam-5793	435	14	,	,	PUNCT
ejpam-5793	435	15	5793	5793	NUM
ejpam-5793	435	16	23	23	NUM
ejpam-5793	435	17	of	of	ADP
ejpam-5793	435	18	27	27	NUM
ejpam-5793	435	19	with	with	ADP
ejpam-5793	435	20	lucas	lucas	PROPN
ejpam-5793	435	21	and	and	CCONJ
ejpam-5793	435	22	fibonacci	fibonacci	NOUN
ejpam-5793	435	23	polynomials	polynomial	NOUN
ejpam-5793	435	24	to	to	PART
ejpam-5793	435	25	address	address	VERB
ejpam-5793	435	26	fractional	fractional	ADJ
ejpam-5793	435	27	partial	partial	ADJ
ejpam-5793	435	28	differential	differential	NOUN
ejpam-5793	435	29	equation	equation	NOUN
ejpam-5793	435	30	challenges	challenge	NOUN
ejpam-5793	435	31	.	.	PUNCT
ejpam-5793	436	1	the	the	DET
ejpam-5793	436	2	method	method	NOUN
ejpam-5793	436	3	’s	’s	PART
ejpam-5793	436	4	effectiveness	effectiveness	NOUN
ejpam-5793	436	5	is	be	AUX
ejpam-5793	436	6	showcased	showcase	VERB
ejpam-5793	436	7	through	through	ADP
ejpam-5793	436	8	detailed	detailed	ADJ
ejpam-5793	436	9	tables	table	NOUN
ejpam-5793	436	10	and	and	CCONJ
ejpam-5793	436	11	figures	figure	NOUN
ejpam-5793	436	12	that	that	PRON
ejpam-5793	436	13	provide	provide	VERB
ejpam-5793	436	14	an	an	DET
ejpam-5793	436	15	objective	objective	ADJ
ejpam-5793	436	16	assessment	assessment	NOUN
ejpam-5793	436	17	of	of	ADP
ejpam-5793	436	18	its	its	PRON
ejpam-5793	436	19	performance	performance	NOUN
ejpam-5793	436	20	across	across	ADP
ejpam-5793	436	21	various	various	ADJ
ejpam-5793	436	22	criteria	criterion	NOUN
ejpam-5793	436	23	.	.	PUNCT
ejpam-5793	437	1	significant	significant	ADJ
ejpam-5793	437	2	insights	insight	NOUN
ejpam-5793	437	3	were	be	AUX
ejpam-5793	437	4	gained	gain	VERB
ejpam-5793	437	5	during	during	ADP
ejpam-5793	437	6	the	the	DET
ejpam-5793	437	7	numerical	numerical	ADJ
ejpam-5793	437	8	experiments	experiment	NOUN
ejpam-5793	437	9	.	.	PUNCT
ejpam-5793	438	1	tests	test	NOUN
ejpam-5793	438	2	were	be	AUX
ejpam-5793	438	3	conducted	conduct	VERB
ejpam-5793	438	4	with	with	ADP
ejpam-5793	438	5	varying	vary	VERB
ejpam-5793	438	6	fractional	fractional	ADJ
ejpam-5793	438	7	parameter	parameter	NOUN
ejpam-5793	438	8	values	value	NOUN
ejpam-5793	438	9	η	η	PROPN
ejpam-5793	438	10	to	to	PART
ejpam-5793	438	11	highlight	highlight	VERB
ejpam-5793	438	12	the	the	DET
ejpam-5793	438	13	benefits	benefit	NOUN
ejpam-5793	438	14	of	of	ADP
ejpam-5793	438	15	the	the	DET
ejpam-5793	438	16	time	time	NOUN
ejpam-5793	438	17	-	-	PUNCT
ejpam-5793	438	18	fractional	fractional	ADJ
ejpam-5793	438	19	black	black	ADJ
ejpam-5793	438	20	-	-	PUNCT
ejpam-5793	438	21	scholes	schole	NOUN
ejpam-5793	438	22	model	model	NOUN
ejpam-5793	438	23	in	in	ADP
ejpam-5793	438	24	comparison	comparison	NOUN
ejpam-5793	438	25	to	to	ADP
ejpam-5793	438	26	the	the	DET
ejpam-5793	438	27	traditional	traditional	ADJ
ejpam-5793	438	28	black	black	ADJ
ejpam-5793	438	29	-	-	PUNCT
ejpam-5793	438	30	scholes	schole	NOUN
ejpam-5793	438	31	model	model	NOUN
ejpam-5793	438	32	for	for	ADP
ejpam-5793	438	33	both	both	PRON
ejpam-5793	438	34	call	call	VERB
ejpam-5793	438	35	and	and	CCONJ
ejpam-5793	438	36	put	put	VERB
ejpam-5793	438	37	options	option	NOUN
ejpam-5793	438	38	.	.	PUNCT
ejpam-5793	439	1	furthermore	furthermore	ADV
ejpam-5793	439	2	,	,	PUNCT
ejpam-5793	439	3	the	the	DET
ejpam-5793	439	4	proposed	propose	VERB
ejpam-5793	439	5	method	method	NOUN
ejpam-5793	439	6	demonstrated	demonstrate	VERB
ejpam-5793	439	7	greater	great	ADJ
ejpam-5793	439	8	accuracy	accuracy	NOUN
ejpam-5793	439	9	and	and	CCONJ
ejpam-5793	439	10	efficiency	efficiency	NOUN
ejpam-5793	439	11	than	than	ADP
ejpam-5793	439	12	existing	exist	VERB
ejpam-5793	439	13	techniques	technique	NOUN
ejpam-5793	439	14	reported	report	VERB
ejpam-5793	439	15	in	in	ADP
ejpam-5793	439	16	the	the	DET
ejpam-5793	439	17	literature	literature	NOUN
ejpam-5793	439	18	.	.	PUNCT
ejpam-5793	440	1	consequently	consequently	ADV
ejpam-5793	440	2	,	,	PUNCT
ejpam-5793	440	3	this	this	DET
ejpam-5793	440	4	approach	approach	NOUN
ejpam-5793	440	5	shows	show	VERB
ejpam-5793	440	6	substantial	substantial	ADJ
ejpam-5793	440	7	potential	potential	NOUN
ejpam-5793	440	8	for	for	ADP
ejpam-5793	440	9	application	application	NOUN
ejpam-5793	440	10	in	in	ADP
ejpam-5793	440	11	various	various	ADJ
ejpam-5793	440	12	option	option	NOUN
ejpam-5793	440	13	pricing	pricing	NOUN
ejpam-5793	440	14	models	model	NOUN
ejpam-5793	440	15	,	,	PUNCT
ejpam-5793	440	16	as	as	ADV
ejpam-5793	440	17	well	well	ADV
ejpam-5793	440	18	as	as	ADP
ejpam-5793	440	19	in	in	ADP
ejpam-5793	440	20	other	other	ADJ
ejpam-5793	440	21	areas	area	NOUN
ejpam-5793	440	22	involving	involve	VERB
ejpam-5793	440	23	partial	partial	ADJ
ejpam-5793	440	24	differential	differential	ADJ
ejpam-5793	440	25	equations	equation	NOUN
ejpam-5793	440	26	in	in	ADP
ejpam-5793	440	27	finance	finance	NOUN
ejpam-5793	440	28	and	and	CCONJ
ejpam-5793	440	29	fields	field	NOUN
ejpam-5793	440	30	that	that	PRON
ejpam-5793	440	31	utilize	utilize	VERB
ejpam-5793	440	32	fractional	fractional	ADJ
ejpam-5793	440	33	derivatives	derivative	NOUN
ejpam-5793	440	34	.	.	PUNCT
ejpam-5793	441	1	declarations	declaration	NOUN
ejpam-5793	441	2	competing	compete	VERB
ejpam-5793	441	3	interests	interest	NOUN
ejpam-5793	441	4	:	:	PUNCT
ejpam-5793	441	5	authors	author	NOUN
ejpam-5793	441	6	declare	declare	VERB
ejpam-5793	441	7	no	no	DET
ejpam-5793	441	8	conflict	conflict	NOUN
ejpam-5793	441	9	of	of	ADP
ejpam-5793	441	10	interest	interest	NOUN
ejpam-5793	441	11	.	.	PUNCT
ejpam-5793	442	1	availability	availability	NOUN
ejpam-5793	442	2	of	of	ADP
ejpam-5793	442	3	data	datum	NOUN
ejpam-5793	442	4	and	and	CCONJ
ejpam-5793	442	5	materials	material	NOUN
ejpam-5793	442	6	:	:	PUNCT
ejpam-5793	442	7	data	datum	NOUN
ejpam-5793	442	8	will	will	AUX
ejpam-5793	442	9	be	be	AUX
ejpam-5793	442	10	provided	provide	VERB
ejpam-5793	442	11	on	on	ADP
ejpam-5793	442	12	request	request	NOUN
ejpam-5793	442	13	to	to	ADP
ejpam-5793	442	14	the	the	DET
ejpam-5793	442	15	corresponding	corresponding	ADJ
ejpam-5793	442	16	author	author	NOUN
ejpam-5793	442	17	.	.	PUNCT
ejpam-5793	443	1	acknowledgments	acknowledgment	NOUN
ejpam-5793	443	2	and	and	CCONJ
ejpam-5793	443	3	funding	funding	NOUN
ejpam-5793	443	4	:	:	PUNCT
ejpam-5793	443	5	aziz	aziz	PROPN
ejpam-5793	443	6	khan	khan	PROPN
ejpam-5793	443	7	and	and	CCONJ
ejpam-5793	443	8	thabet	thabet	ADJ
ejpam-5793	443	9	abdeljawad	abdeljawad	NOUN
ejpam-5793	443	10	would	would	AUX
ejpam-5793	443	11	like	like	VERB
ejpam-5793	443	12	to	to	PART
ejpam-5793	443	13	thank	thank	VERB
ejpam-5793	443	14	prince	prince	PROPN
ejpam-5793	443	15	sultan	sultan	PROPN
ejpam-5793	443	16	university	university	PROPN
ejpam-5793	443	17	for	for	ADP
ejpam-5793	443	18	paying	pay	VERB
ejpam-5793	443	19	the	the	DET
ejpam-5793	443	20	apc	apc	NOUN
ejpam-5793	443	21	and	and	CCONJ
ejpam-5793	443	22	support	support	VERB
ejpam-5793	443	23	through	through	ADP
ejpam-5793	443	24	tas	ta	NOUN
ejpam-5793	443	25	research	research	NOUN
ejpam-5793	443	26	lab	lab	NOUN
ejpam-5793	443	27	.	.	PUNCT
ejpam-5793	444	1	references	reference	NOUN
ejpam-5793	444	2	[	[	X
ejpam-5793	444	3	1	1	NUM
ejpam-5793	444	4	]	]	PUNCT
ejpam-5793	444	5	hijaz	hijaz	PROPN
ejpam-5793	444	6	ahmad	ahmad	PROPN
ejpam-5793	444	7	,	,	PUNCT
ejpam-5793	444	8	muhammad	muhammad	PROPN
ejpam-5793	444	9	nawaz	nawaz	PROPN
ejpam-5793	444	10	khan	khan	PROPN
ejpam-5793	444	11	,	,	PUNCT
ejpam-5793	444	12	imtiaz	imtiaz	PROPN
ejpam-5793	444	13	ahmad	ahmad	PROPN
ejpam-5793	444	14	,	,	PUNCT
ejpam-5793	444	15	mohamed	mohamed	PROPN
ejpam-5793	444	16	omri	omri	PROPN
ejpam-5793	444	17	,	,	PUNCT
ejpam-5793	444	18	and	and	CCONJ
ejpam-5793	444	19	maged	mage	VERB
ejpam-5793	444	20	f	f	PROPN
ejpam-5793	444	21	alotaibi	alotaibi	PROPN
ejpam-5793	444	22	.	.	PUNCT
ejpam-5793	445	1	a	a	DET
ejpam-5793	445	2	meshless	meshless	ADJ
ejpam-5793	445	3	method	method	NOUN
ejpam-5793	445	4	for	for	ADP
ejpam-5793	445	5	numerical	numerical	ADJ
ejpam-5793	445	6	solutions	solution	NOUN
ejpam-5793	445	7	of	of	ADP
ejpam-5793	445	8	linear	linear	PROPN
ejpam-5793	445	9	and	and	CCONJ
ejpam-5793	445	10	nonlinear	nonlinear	ADJ
ejpam-5793	445	11	time	time	NOUN
ejpam-5793	445	12	-	-	PUNCT
ejpam-5793	445	13	fractional	fractional	ADJ
ejpam-5793	445	14	black	black	ADJ
ejpam-5793	445	15	-	-	PUNCT
ejpam-5793	445	16	scholes	schole	NOUN
ejpam-5793	445	17	models	model	NOUN
ejpam-5793	445	18	.	.	PUNCT
ejpam-5793	446	1	aims	aim	VERB
ejpam-5793	446	2	math	math	NOUN
ejpam-5793	446	3	,	,	PUNCT
ejpam-5793	446	4	8(8):19677–19698	8(8):19677–19698	PROPN
ejpam-5793	446	5	,	,	PUNCT
ejpam-5793	446	6	2023	2023	NUM
ejpam-5793	446	7	.	.	PUNCT
ejpam-5793	447	1	[	[	X
ejpam-5793	447	2	2	2	NUM
ejpam-5793	447	3	]	]	X
ejpam-5793	447	4	imtiaz	imtiaz	PROPN
ejpam-5793	447	5	ahmad	ahmad	PROPN
ejpam-5793	447	6	,	,	PUNCT
ejpam-5793	447	7	hijaz	hijaz	PROPN
ejpam-5793	447	8	ahmad	ahmad	PROPN
ejpam-5793	447	9	,	,	PUNCT
ejpam-5793	447	10	phatiphat	phatiphat	PROPN
ejpam-5793	447	11	thounthong	thounthong	PROPN
ejpam-5793	447	12	,	,	PUNCT
ejpam-5793	447	13	yu	yu	PROPN
ejpam-5793	447	14	-	-	PROPN
ejpam-5793	447	15	ming	ming	PROPN
ejpam-5793	447	16	chu	chu	PROPN
ejpam-5793	447	17	,	,	PUNCT
ejpam-5793	447	18	and	and	CCONJ
ejpam-5793	447	19	clemente	clemente	PROPN
ejpam-5793	447	20	cesarano	cesarano	PROPN
ejpam-5793	447	21	.	.	PUNCT
ejpam-5793	448	1	solution	solution	NOUN
ejpam-5793	448	2	of	of	ADP
ejpam-5793	448	3	multi	multi	ADJ
ejpam-5793	448	4	-	-	ADJ
ejpam-5793	448	5	term	term	ADJ
ejpam-5793	448	6	time	time	NOUN
ejpam-5793	448	7	-	-	PUNCT
ejpam-5793	448	8	fractional	fractional	ADJ
ejpam-5793	448	9	pde	pde	NOUN
ejpam-5793	448	10	models	model	NOUN
ejpam-5793	448	11	arising	arise	VERB
ejpam-5793	448	12	in	in	ADP
ejpam-5793	448	13	mathematical	mathematical	ADJ
ejpam-5793	448	14	biology	biology	NOUN
ejpam-5793	448	15	and	and	CCONJ
ejpam-5793	448	16	physics	physics	NOUN
ejpam-5793	448	17	by	by	ADP
ejpam-5793	448	18	local	local	ADJ
ejpam-5793	448	19	meshless	meshless	ADJ
ejpam-5793	448	20	method	method	NOUN
ejpam-5793	448	21	.	.	PUNCT
ejpam-5793	449	1	symmetry	symmetry	NOUN
ejpam-5793	449	2	,	,	PUNCT
ejpam-5793	449	3	12(7):1195	12(7):1195	NUM
ejpam-5793	449	4	,	,	PUNCT
ejpam-5793	449	5	2020	2020	NUM
ejpam-5793	449	6	.	.	PUNCT
ejpam-5793	450	1	[	[	X
ejpam-5793	450	2	3	3	X
ejpam-5793	450	3	]	]	X
ejpam-5793	450	4	imtiaz	imtiaz	PROPN
ejpam-5793	450	5	ahmad	ahmad	PROPN
ejpam-5793	450	6	,	,	PUNCT
ejpam-5793	450	7	ihteram	ihteram	PROPN
ejpam-5793	450	8	ali	ali	PROPN
ejpam-5793	450	9	,	,	PUNCT
ejpam-5793	450	10	rashid	rashid	PROPN
ejpam-5793	450	11	jan	jan	PROPN
ejpam-5793	450	12	,	,	PUNCT
ejpam-5793	450	13	sahar	sahar	PROPN
ejpam-5793	450	14	ahmed	ahmed	PROPN
ejpam-5793	450	15	idris	idris	PROPN
ejpam-5793	450	16	,	,	PUNCT
ejpam-5793	450	17	and	and	CCONJ
ejpam-5793	450	18	mohamed	mohamed	PROPN
ejpam-5793	450	19	mousa	mousa	PROPN
ejpam-5793	450	20	.	.	PUNCT
ejpam-5793	451	1	solutions	solution	NOUN
ejpam-5793	451	2	of	of	ADP
ejpam-5793	451	3	a	a	DET
ejpam-5793	451	4	three	three	NUM
ejpam-5793	451	5	-	-	PUNCT
ejpam-5793	451	6	dimensional	dimensional	ADJ
ejpam-5793	451	7	multi	multi	ADJ
ejpam-5793	451	8	-	-	ADJ
ejpam-5793	451	9	term	term	ADJ
ejpam-5793	451	10	fractional	fractional	ADJ
ejpam-5793	451	11	anomalous	anomalous	ADJ
ejpam-5793	451	12	solute	solute	NOUN
ejpam-5793	451	13	transport	transport	NOUN
ejpam-5793	451	14	model	model	NOUN
ejpam-5793	451	15	for	for	ADP
ejpam-5793	451	16	contamination	contamination	NOUN
ejpam-5793	451	17	in	in	ADP
ejpam-5793	451	18	groundwater	groundwater	NOUN
ejpam-5793	451	19	.	.	PUNCT
ejpam-5793	452	1	plos	plos	PROPN
ejpam-5793	452	2	one	one	NUM
ejpam-5793	452	3	,	,	PUNCT
ejpam-5793	452	4	18(12):e0294348	18(12):e0294348	PROPN
ejpam-5793	452	5	,	,	PUNCT
ejpam-5793	452	6	2023	2023	NUM
ejpam-5793	452	7	.	.	PUNCT
ejpam-5793	453	1	[	[	X
ejpam-5793	453	2	4	4	NUM
ejpam-5793	453	3	]	]	X
ejpam-5793	453	4	imtiaz	imtiaz	PROPN
ejpam-5793	453	5	ahmad	ahmad	PROPN
ejpam-5793	453	6	,	,	PUNCT
ejpam-5793	453	7	abdulrahman	abdulrahman	PROPN
ejpam-5793	453	8	obaid	obaid	PROPN
ejpam-5793	453	9	alshammari	alshammari	PROPN
ejpam-5793	453	10	,	,	PUNCT
ejpam-5793	453	11	rashid	rashid	PROPN
ejpam-5793	453	12	jan	jan	PROPN
ejpam-5793	453	13	,	,	PUNCT
ejpam-5793	453	14	normy	normy	PROPN
ejpam-5793	453	15	norfiza	norfiza	PROPN
ejpam-5793	453	16	abdul	abdul	PROPN
ejpam-5793	453	17	razak	razak	PROPN
ejpam-5793	453	18	,	,	PUNCT
ejpam-5793	453	19	and	and	CCONJ
ejpam-5793	453	20	sahar	sahar	PROPN
ejpam-5793	453	21	ahmed	ahmed	PROPN
ejpam-5793	453	22	idris	idris	PROPN
ejpam-5793	453	23	.	.	PUNCT
ejpam-5793	454	1	an	an	DET
ejpam-5793	454	2	efficient	efficient	ADJ
ejpam-5793	454	3	numerical	numerical	ADJ
ejpam-5793	454	4	solution	solution	NOUN
ejpam-5793	454	5	of	of	ADP
ejpam-5793	454	6	a	a	DET
ejpam-5793	454	7	multidimensional	multidimensional	ADJ
ejpam-5793	454	8	two	two	NUM
ejpam-5793	454	9	-	-	PUNCT
ejpam-5793	454	10	term	term	NOUN
ejpam-5793	454	11	fractional	fractional	ADJ
ejpam-5793	454	12	order	order	NOUN
ejpam-5793	454	13	pde	pde	NOUN
ejpam-5793	454	14	via	via	ADP
ejpam-5793	454	15	a	a	DET
ejpam-5793	454	16	hybrid	hybrid	ADJ
ejpam-5793	454	17	methodology	methodology	NOUN
ejpam-5793	454	18	:	:	PUNCT
ejpam-5793	454	19	the	the	DET
ejpam-5793	454	20	caputo	caputo	PROPN
ejpam-5793	454	21	–	–	PUNCT
ejpam-5793	454	22	lucas	lucas	PROPN
ejpam-5793	454	23	–	–	PUNCT
ejpam-5793	454	24	fibonacci	fibonacci	NOUN
ejpam-5793	454	25	approach	approach	NOUN
ejpam-5793	454	26	with	with	ADP
ejpam-5793	454	27	strang	strang	PROPN
ejpam-5793	454	28	splitting	splitting	PROPN
ejpam-5793	454	29	.	.	PUNCT
ejpam-5793	455	1	fractal	fractal	ADJ
ejpam-5793	455	2	and	and	CCONJ
ejpam-5793	455	3	fractional	fractional	ADJ
ejpam-5793	455	4	,	,	PUNCT
ejpam-5793	455	5	8(6):364	8(6):364	NUM
ejpam-5793	455	6	,	,	PUNCT
ejpam-5793	455	7	2024	2024	NUM
ejpam-5793	455	8	.	.	PUNCT
ejpam-5793	456	1	[	[	X
ejpam-5793	456	2	5	5	X
ejpam-5793	456	3	]	]	X
ejpam-5793	456	4	imtiaz	imtiaz	PROPN
ejpam-5793	456	5	ahmad	ahmad	PROPN
ejpam-5793	456	6	,	,	PUNCT
ejpam-5793	456	7	asmidar	asmidar	PROPN
ejpam-5793	456	8	abu	abu	PROPN
ejpam-5793	456	9	bakar	bakar	PROPN
ejpam-5793	456	10	,	,	PUNCT
ejpam-5793	456	11	hijaz	hijaz	PROPN
ejpam-5793	456	12	ahmad	ahmad	PROPN
ejpam-5793	456	13	,	,	PUNCT
ejpam-5793	456	14	aziz	aziz	PROPN
ejpam-5793	456	15	khan	khan	PROPN
ejpam-5793	456	16	,	,	PUNCT
ejpam-5793	456	17	and	and	CCONJ
ejpam-5793	456	18	thabet	thabet	ADJ
ejpam-5793	456	19	abdeljawad	abdeljawad	NOUN
ejpam-5793	456	20	.	.	PUNCT
ejpam-5793	457	1	investigating	investigate	VERB
ejpam-5793	457	2	virus	virus	NOUN
ejpam-5793	457	3	spread	spread	VERB
ejpam-5793	457	4	analysis	analysis	NOUN
ejpam-5793	457	5	in	in	ADP
ejpam-5793	457	6	computer	computer	NOUN
ejpam-5793	457	7	networks	network	NOUN
ejpam-5793	457	8	with	with	ADP
ejpam-5793	457	9	atangana	atangana	PROPN
ejpam-5793	457	10	–	–	PUNCT
ejpam-5793	457	11	baleanu	baleanu	ADJ
ejpam-5793	457	12	fractional	fractional	ADJ
ejpam-5793	457	13	derivative	derivative	ADJ
ejpam-5793	457	14	models	model	NOUN
ejpam-5793	457	15	.	.	PUNCT
ejpam-5793	458	1	fractals	fractal	NOUN
ejpam-5793	458	2	,	,	PUNCT
ejpam-5793	458	3	2440043:17	2440043:17	NUM
ejpam-5793	458	4	,	,	PUNCT
ejpam-5793	458	5	2024	2024	NUM
ejpam-5793	458	6	.	.	PUNCT
ejpam-5793	459	1	imtiaz	imtiaz	PROPN
ejpam-5793	459	2	ahmad	ahmad	PROPN
ejpam-5793	459	3	et	et	PROPN
ejpam-5793	459	4	al	al	PROPN
ejpam-5793	459	5	.	.	PUNCT
ejpam-5793	459	6	/	/	SYM
ejpam-5793	459	7	eur	eur	PROPN
ejpam-5793	459	8	.	.	PUNCT
ejpam-5793	460	1	j.	j.	PROPN
ejpam-5793	460	2	pure	pure	PROPN
ejpam-5793	460	3	appl	appl	PROPN
ejpam-5793	460	4	.	.	PROPN
ejpam-5793	460	5	math	math	PROPN
ejpam-5793	460	6	,	,	PUNCT
ejpam-5793	460	7	18	18	NUM
ejpam-5793	460	8	(	(	PUNCT
ejpam-5793	460	9	1	1	NUM
ejpam-5793	460	10	)	)	PUNCT
ejpam-5793	460	11	(	(	PUNCT
ejpam-5793	460	12	2025	2025	NUM
ejpam-5793	460	13	)	)	PUNCT
ejpam-5793	460	14	,	,	PUNCT
ejpam-5793	460	15	5793	5793	NUM
ejpam-5793	460	16	24	24	NUM
ejpam-5793	460	17	of	of	ADP
ejpam-5793	460	18	27	27	NUM
ejpam-5793	460	19	[	[	SYM
ejpam-5793	460	20	6	6	NUM
ejpam-5793	460	21	]	]	X
ejpam-5793	460	22	imtiaz	imtiaz	PROPN
ejpam-5793	460	23	ahmad	ahmad	PROPN
ejpam-5793	460	24	,	,	PUNCT
ejpam-5793	460	25	asmidar	asmidar	PROPN
ejpam-5793	460	26	abu	abu	PROPN
ejpam-5793	460	27	bakar	bakar	PROPN
ejpam-5793	460	28	,	,	PUNCT
ejpam-5793	460	29	ihteram	ihteram	PROPN
ejpam-5793	460	30	ali	ali	PROPN
ejpam-5793	460	31	,	,	PUNCT
ejpam-5793	460	32	sirajul	sirajul	PROPN
ejpam-5793	460	33	haq	haq	PROPN
ejpam-5793	460	34	,	,	PUNCT
ejpam-5793	460	35	salman	salman	PROPN
ejpam-5793	460	36	yussof	yussof	PROPN
ejpam-5793	460	37	,	,	PUNCT
ejpam-5793	460	38	and	and	CCONJ
ejpam-5793	460	39	ali	ali	PROPN
ejpam-5793	460	40	hasan	hasan	PROPN
ejpam-5793	460	41	ali	ali	PROPN
ejpam-5793	460	42	.	.	PUNCT
ejpam-5793	461	1	computational	computational	ADJ
ejpam-5793	461	2	analysis	analysis	NOUN
ejpam-5793	461	3	of	of	ADP
ejpam-5793	461	4	time	time	NOUN
ejpam-5793	461	5	-	-	PUNCT
ejpam-5793	461	6	fractional	fractional	ADJ
ejpam-5793	461	7	models	model	NOUN
ejpam-5793	461	8	in	in	ADP
ejpam-5793	461	9	energy	energy	NOUN
ejpam-5793	461	10	infrastructure	infrastructure	NOUN
ejpam-5793	461	11	applications	application	NOUN
ejpam-5793	461	12	.	.	PUNCT
ejpam-5793	462	1	alexandria	alexandria	PROPN
ejpam-5793	462	2	engineering	engineering	PROPN
ejpam-5793	462	3	journal	journal	PROPN
ejpam-5793	462	4	,	,	PUNCT
ejpam-5793	462	5	82:426–436	82:426–436	NUM
ejpam-5793	462	6	,	,	PUNCT
ejpam-5793	462	7	2023	2023	NUM
ejpam-5793	462	8	.	.	PUNCT
ejpam-5793	463	1	[	[	X
ejpam-5793	463	2	7	7	X
ejpam-5793	463	3	]	]	X
ejpam-5793	463	4	imtiaz	imtiaz	PROPN
ejpam-5793	463	5	ahmad	ahmad	PROPN
ejpam-5793	463	6	,	,	PUNCT
ejpam-5793	463	7	ibrahim	ibrahim	PROPN
ejpam-5793	463	8	mekawy	mekawy	PROPN
ejpam-5793	463	9	,	,	PUNCT
ejpam-5793	463	10	muhammad	muhammad	PROPN
ejpam-5793	463	11	nawaz	nawaz	PROPN
ejpam-5793	463	12	khan	khan	PROPN
ejpam-5793	463	13	,	,	PUNCT
ejpam-5793	463	14	rashid	rashid	PROPN
ejpam-5793	463	15	jan	jan	PROPN
ejpam-5793	463	16	,	,	PUNCT
ejpam-5793	463	17	and	and	CCONJ
ejpam-5793	463	18	salah	salah	PROPN
ejpam-5793	463	19	boulaaras	boulaaras	NOUN
ejpam-5793	463	20	.	.	PUNCT
ejpam-5793	464	1	modeling	model	VERB
ejpam-5793	464	2	anomalous	anomalous	ADJ
ejpam-5793	464	3	transport	transport	NOUN
ejpam-5793	464	4	in	in	ADP
ejpam-5793	464	5	fractal	fractal	ADJ
ejpam-5793	464	6	porous	porous	ADJ
ejpam-5793	464	7	media	medium	NOUN
ejpam-5793	464	8	:	:	PUNCT
ejpam-5793	464	9	a	a	DET
ejpam-5793	464	10	study	study	NOUN
ejpam-5793	464	11	of	of	ADP
ejpam-5793	464	12	fractional	fractional	ADJ
ejpam-5793	464	13	diffusion	diffusion	NOUN
ejpam-5793	464	14	pdes	pde	NOUN
ejpam-5793	464	15	using	use	VERB
ejpam-5793	464	16	numerical	numerical	ADJ
ejpam-5793	464	17	method	method	NOUN
ejpam-5793	464	18	.	.	PUNCT
ejpam-5793	465	1	nonlinear	nonlinear	ADJ
ejpam-5793	465	2	engineering	engineering	NOUN
ejpam-5793	465	3	,	,	PUNCT
ejpam-5793	465	4	13(1):20220366	13(1):20220366	NUM
ejpam-5793	465	5	,	,	PUNCT
ejpam-5793	465	6	2024	2024	NUM
ejpam-5793	465	7	.	.	PUNCT
ejpam-5793	466	1	[	[	X
ejpam-5793	466	2	8	8	NUM
ejpam-5793	466	3	]	]	X
ejpam-5793	466	4	imtiaz	imtiaz	PROPN
ejpam-5793	466	5	ahmad	ahmad	PROPN
ejpam-5793	466	6	,	,	PUNCT
ejpam-5793	466	7	sakhi	sakhi	PROPN
ejpam-5793	466	8	zaman	zaman	PROPN
ejpam-5793	466	9	,	,	PUNCT
ejpam-5793	466	10	et	et	PROPN
ejpam-5793	466	11	al	al	PROPN
ejpam-5793	466	12	.	.	PROPN
ejpam-5793	467	1	local	local	ADJ
ejpam-5793	467	2	meshless	meshless	ADJ
ejpam-5793	467	3	differential	differential	ADJ
ejpam-5793	467	4	quadrature	quadrature	NOUN
ejpam-5793	467	5	collocation	collocation	NOUN
ejpam-5793	467	6	method	method	NOUN
ejpam-5793	467	7	for	for	ADP
ejpam-5793	467	8	time	time	NOUN
ejpam-5793	467	9	-	-	PUNCT
ejpam-5793	467	10	fractional	fractional	ADJ
ejpam-5793	467	11	pdes	pde	NOUN
ejpam-5793	467	12	.	.	PUNCT
ejpam-5793	468	1	discrete	discrete	ADJ
ejpam-5793	468	2	&	&	CCONJ
ejpam-5793	468	3	continuous	continuous	ADJ
ejpam-5793	468	4	dynamical	dynamical	ADJ
ejpam-5793	468	5	systems	system	NOUN
ejpam-5793	468	6	-	-	PUNCT
ejpam-5793	468	7	series	series	NOUN
ejpam-5793	468	8	s	s	PART
ejpam-5793	468	9	,	,	PUNCT
ejpam-5793	468	10	13(10	13(10	NUM
ejpam-5793	468	11	)	)	PUNCT
ejpam-5793	468	12	,	,	PUNCT
ejpam-5793	468	13	2020	2020	NUM
ejpam-5793	468	14	.	.	PUNCT
ejpam-5793	469	1	[	[	X
ejpam-5793	469	2	9	9	NUM
ejpam-5793	469	3	]	]	X
ejpam-5793	469	4	saim	saim	PROPN
ejpam-5793	469	5	ahmed	ahmed	PROPN
ejpam-5793	469	6	,	,	PUNCT
ejpam-5793	469	7	ahmad	ahmad	PROPN
ejpam-5793	469	8	taher	taher	PROPN
ejpam-5793	469	9	azar	azar	PROPN
ejpam-5793	469	10	,	,	PUNCT
ejpam-5793	469	11	mahmoud	mahmoud	PROPN
ejpam-5793	469	12	abdel	abdel	PROPN
ejpam-5793	469	13	-	-	PUNCT
ejpam-5793	469	14	aty	aty	PROPN
ejpam-5793	469	15	,	,	PUNCT
ejpam-5793	469	16	hasib	hasib	PROPN
ejpam-5793	469	17	khan	khan	PROPN
ejpam-5793	469	18	,	,	PUNCT
ejpam-5793	469	19	and	and	CCONJ
ejpam-5793	469	20	jehad	jehad	PROPN
ejpam-5793	469	21	alzabut	alzabut	PROPN
ejpam-5793	469	22	.	.	PUNCT
ejpam-5793	470	1	a	a	DET
ejpam-5793	470	2	nonlinear	nonlinear	ADJ
ejpam-5793	470	3	system	system	NOUN
ejpam-5793	470	4	of	of	ADP
ejpam-5793	470	5	hybrid	hybrid	ADJ
ejpam-5793	470	6	fractional	fractional	ADJ
ejpam-5793	470	7	differential	differential	ADJ
ejpam-5793	470	8	equations	equation	NOUN
ejpam-5793	470	9	with	with	ADP
ejpam-5793	470	10	application	application	NOUN
ejpam-5793	470	11	to	to	ADP
ejpam-5793	470	12	fixed	fix	VERB
ejpam-5793	470	13	time	time	NOUN
ejpam-5793	470	14	sliding	slide	VERB
ejpam-5793	470	15	mode	mode	NOUN
ejpam-5793	470	16	control	control	NOUN
ejpam-5793	470	17	for	for	ADP
ejpam-5793	470	18	leukemia	leukemia	NOUN
ejpam-5793	470	19	therapy	therapy	NOUN
ejpam-5793	470	20	.	.	PUNCT
ejpam-5793	471	1	ain	ain	PROPN
ejpam-5793	471	2	shams	sham	VERB
ejpam-5793	471	3	engineering	engineering	NOUN
ejpam-5793	471	4	journal	journal	NOUN
ejpam-5793	471	5	,	,	PUNCT
ejpam-5793	471	6	15(4):102566	15(4):102566	NUM
ejpam-5793	471	7	,	,	PUNCT
ejpam-5793	471	8	2024	2024	NUM
ejpam-5793	471	9	.	.	PUNCT
ejpam-5793	472	1	[	[	X
ejpam-5793	472	2	10	10	NUM
ejpam-5793	472	3	]	]	X
ejpam-5793	472	4	ihteram	ihteram	PROPN
ejpam-5793	472	5	ali	ali	PROPN
ejpam-5793	472	6	,	,	PUNCT
ejpam-5793	472	7	sirajul	sirajul	NOUN
ejpam-5793	472	8	haq	haq	PROPN
ejpam-5793	472	9	,	,	PUNCT
ejpam-5793	472	10	kottakkaran	kottakkaran	VERB
ejpam-5793	472	11	sooppy	sooppy	ADJ
ejpam-5793	472	12	nisar	nisar	PROPN
ejpam-5793	472	13	,	,	PUNCT
ejpam-5793	472	14	and	and	CCONJ
ejpam-5793	472	15	dumitru	dumitru	PROPN
ejpam-5793	472	16	baleanu	baleanu	NOUN
ejpam-5793	472	17	.	.	PUNCT
ejpam-5793	473	1	an	an	DET
ejpam-5793	473	2	efficient	efficient	ADJ
ejpam-5793	473	3	numerical	numerical	ADJ
ejpam-5793	473	4	scheme	scheme	NOUN
ejpam-5793	473	5	based	base	VERB
ejpam-5793	473	6	on	on	ADP
ejpam-5793	473	7	lucas	lucas	NOUN
ejpam-5793	473	8	polynomials	polynomial	NOUN
ejpam-5793	473	9	for	for	ADP
ejpam-5793	473	10	the	the	DET
ejpam-5793	473	11	study	study	NOUN
ejpam-5793	473	12	of	of	ADP
ejpam-5793	473	13	multidimensional	multidimensional	ADJ
ejpam-5793	473	14	burgers	burger	NOUN
ejpam-5793	473	15	-	-	PUNCT
ejpam-5793	473	16	type	type	NOUN
ejpam-5793	473	17	equations	equation	NOUN
ejpam-5793	473	18	.	.	PUNCT
ejpam-5793	474	1	advances	advance	NOUN
ejpam-5793	474	2	in	in	ADP
ejpam-5793	474	3	difference	difference	NOUN
ejpam-5793	474	4	equations	equation	NOUN
ejpam-5793	474	5	,	,	PUNCT
ejpam-5793	474	6	2021(1):1–24	2021(1):1–24	NOUN
ejpam-5793	474	7	,	,	PUNCT
ejpam-5793	474	8	2021	2021	NUM
ejpam-5793	474	9	.	.	PUNCT
ejpam-5793	475	1	[	[	X
ejpam-5793	475	2	11	11	NUM
ejpam-5793	475	3	]	]	X
ejpam-5793	475	4	l.	l.	PROPN
ejpam-5793	475	5	v.	v.	ADP
ejpam-5793	475	6	ballestra	ballestra	PROPN
ejpam-5793	475	7	.	.	PROPN
ejpam-5793	475	8	repeated	repeat	VERB
ejpam-5793	475	9	spatial	spatial	ADJ
ejpam-5793	475	10	extrapolation	extrapolation	NOUN
ejpam-5793	475	11	:	:	PUNCT
ejpam-5793	475	12	an	an	DET
ejpam-5793	475	13	extraordinarily	extraordinarily	ADV
ejpam-5793	475	14	efficient	efficient	ADJ
ejpam-5793	475	15	approach	approach	NOUN
ejpam-5793	475	16	for	for	ADP
ejpam-5793	475	17	option	option	NOUN
ejpam-5793	475	18	pricing	pricing	NOUN
ejpam-5793	475	19	.	.	PUNCT
ejpam-5793	476	1	journal	journal	NOUN
ejpam-5793	476	2	of	of	ADP
ejpam-5793	476	3	computational	computational	ADJ
ejpam-5793	476	4	and	and	CCONJ
ejpam-5793	476	5	applied	applied	ADJ
ejpam-5793	476	6	mathematics	mathematic	NOUN
ejpam-5793	476	7	,	,	PUNCT
ejpam-5793	476	8	256:83–91	256:83–91	NUM
ejpam-5793	476	9	,	,	PUNCT
ejpam-5793	476	10	2014	2014	NUM
ejpam-5793	476	11	.	.	PUNCT
ejpam-5793	477	1	[	[	X
ejpam-5793	477	2	12	12	NUM
ejpam-5793	477	3	]	]	X
ejpam-5793	477	4	l.	l.	PROPN
ejpam-5793	477	5	v.	v.	ADP
ejpam-5793	477	6	ballestra	ballestra	PROPN
ejpam-5793	477	7	and	and	CCONJ
ejpam-5793	477	8	g.	g.	PROPN
ejpam-5793	477	9	pacelli	pacelli	PROPN
ejpam-5793	477	10	.	.	PUNCT
ejpam-5793	478	1	pricing	pricing	NOUN
ejpam-5793	478	2	european	european	ADJ
ejpam-5793	478	3	and	and	CCONJ
ejpam-5793	478	4	american	american	ADJ
ejpam-5793	478	5	options	option	NOUN
ejpam-5793	478	6	with	with	ADP
ejpam-5793	478	7	two	two	NUM
ejpam-5793	478	8	stochastic	stochastic	ADJ
ejpam-5793	478	9	factors	factor	NOUN
ejpam-5793	478	10	:	:	PUNCT
ejpam-5793	478	11	a	a	DET
ejpam-5793	478	12	highly	highly	ADV
ejpam-5793	478	13	efficient	efficient	ADJ
ejpam-5793	478	14	radial	radial	ADJ
ejpam-5793	478	15	basis	basis	NOUN
ejpam-5793	478	16	function	function	NOUN
ejpam-5793	478	17	approach	approach	NOUN
ejpam-5793	478	18	.	.	PUNCT
ejpam-5793	479	1	journal	journal	PROPN
ejpam-5793	479	2	of	of	ADP
ejpam-5793	479	3	economics	economic	NOUN
ejpam-5793	479	4	dynamics	dynamic	NOUN
ejpam-5793	479	5	and	and	CCONJ
ejpam-5793	479	6	control	control	NOUN
ejpam-5793	479	7	,	,	PUNCT
ejpam-5793	479	8	37:1142–1167	37:1142–1167	NUM
ejpam-5793	479	9	,	,	PUNCT
ejpam-5793	479	10	2013	2013	NUM
ejpam-5793	479	11	.	.	PUNCT
ejpam-5793	480	1	[	[	X
ejpam-5793	480	2	13	13	NUM
ejpam-5793	480	3	]	]	PUNCT
ejpam-5793	480	4	n	n	CCONJ
ejpam-5793	480	5	baykuş-savaşaneril	baykuş-savaşaneril	PROPN
ejpam-5793	480	6	and	and	CCONJ
ejpam-5793	480	7	mehmet	mehmet	PROPN
ejpam-5793	480	8	sezer	sezer	PROPN
ejpam-5793	480	9	.	.	PUNCT
ejpam-5793	481	1	hybrid	hybrid	PROPN
ejpam-5793	481	2	taylor	taylor	PROPN
ejpam-5793	481	3	-	-	PUNCT
ejpam-5793	481	4	lucas	lucas	PROPN
ejpam-5793	481	5	collocation	collocation	NOUN
ejpam-5793	481	6	method	method	NOUN
ejpam-5793	481	7	for	for	ADP
ejpam-5793	481	8	numerical	numerical	ADJ
ejpam-5793	481	9	solution	solution	NOUN
ejpam-5793	481	10	of	of	ADP
ejpam-5793	481	11	high	high	ADJ
ejpam-5793	481	12	-	-	PUNCT
ejpam-5793	481	13	order	order	NOUN
ejpam-5793	481	14	pantograph	pantograph	NOUN
ejpam-5793	481	15	type	type	NOUN
ejpam-5793	481	16	delay	delay	NOUN
ejpam-5793	481	17	differential	differential	ADJ
ejpam-5793	481	18	equations	equation	NOUN
ejpam-5793	481	19	with	with	ADP
ejpam-5793	481	20	variables	variable	NOUN
ejpam-5793	481	21	delays	delay	NOUN
ejpam-5793	481	22	.	.	PUNCT
ejpam-5793	482	1	applied	apply	VERB
ejpam-5793	482	2	mathematics	mathematic	NOUN
ejpam-5793	482	3	and	and	CCONJ
ejpam-5793	482	4	information	information	NOUN
ejpam-5793	482	5	sciences	science	NOUN
ejpam-5793	482	6	,	,	PUNCT
ejpam-5793	482	7	11(6):1795–1801	11(6):1795–1801	NUM
ejpam-5793	482	8	,	,	PUNCT
ejpam-5793	482	9	2017	2017	NUM
ejpam-5793	482	10	.	.	PUNCT
ejpam-5793	483	1	[	[	X
ejpam-5793	483	2	14	14	NUM
ejpam-5793	483	3	]	]	SYM
ejpam-5793	483	4	salah	salah	PROPN
ejpam-5793	483	5	boulaaras	boulaaras	PROPN
ejpam-5793	483	6	,	,	PUNCT
ejpam-5793	483	7	rashid	rashid	PROPN
ejpam-5793	483	8	jan	jan	PROPN
ejpam-5793	483	9	,	,	PUNCT
ejpam-5793	483	10	amin	amin	PROPN
ejpam-5793	483	11	khan	khan	PROPN
ejpam-5793	483	12	,	,	PUNCT
ejpam-5793	483	13	ali	ali	PROPN
ejpam-5793	483	14	allahem	allahem	PROPN
ejpam-5793	483	15	,	,	PUNCT
ejpam-5793	483	16	imtiaz	imtiaz	PROPN
ejpam-5793	483	17	ahmad	ahmad	PROPN
ejpam-5793	483	18	,	,	PUNCT
ejpam-5793	483	19	and	and	CCONJ
ejpam-5793	483	20	salma	salma	PROPN
ejpam-5793	483	21	bahramand	bahramand	PROPN
ejpam-5793	483	22	.	.	PUNCT
ejpam-5793	484	1	modeling	model	VERB
ejpam-5793	484	2	the	the	DET
ejpam-5793	484	3	dynamical	dynamical	ADJ
ejpam-5793	484	4	behavior	behavior	NOUN
ejpam-5793	484	5	of	of	ADP
ejpam-5793	484	6	the	the	DET
ejpam-5793	484	7	interaction	interaction	NOUN
ejpam-5793	484	8	of	of	ADP
ejpam-5793	484	9	t	t	PROPN
ejpam-5793	484	10	-	-	PUNCT
ejpam-5793	484	11	cells	cell	NOUN
ejpam-5793	484	12	and	and	CCONJ
ejpam-5793	484	13	human	human	ADJ
ejpam-5793	484	14	immunodeficiency	immunodeficiency	NOUN
ejpam-5793	484	15	virus	virus	NOUN
ejpam-5793	484	16	with	with	ADP
ejpam-5793	484	17	saturated	saturated	ADJ
ejpam-5793	484	18	incidence	incidence	NOUN
ejpam-5793	484	19	.	.	PUNCT
ejpam-5793	485	1	communications	communication	NOUN
ejpam-5793	485	2	in	in	ADP
ejpam-5793	485	3	theoretical	theoretical	ADJ
ejpam-5793	485	4	physics	physics	NOUN
ejpam-5793	485	5	,	,	PUNCT
ejpam-5793	485	6	76(3):035001	76(3):035001	NUM
ejpam-5793	485	7	,	,	PUNCT
ejpam-5793	485	8	2024	2024	NUM
ejpam-5793	485	9	.	.	PUNCT
ejpam-5793	486	1	[	[	X
ejpam-5793	486	2	15	15	NUM
ejpam-5793	486	3	]	]	X
ejpam-5793	486	4	michele	michele	PROPN
ejpam-5793	486	5	caputo	caputo	PROPN
ejpam-5793	486	6	.	.	PROPN
ejpam-5793	487	1	linear	linear	PROPN
ejpam-5793	487	2	models	model	NOUN
ejpam-5793	487	3	of	of	ADP
ejpam-5793	487	4	dissipation	dissipation	NOUN
ejpam-5793	487	5	whose	whose	DET
ejpam-5793	487	6	q	q	NOUN
ejpam-5793	487	7	is	be	AUX
ejpam-5793	487	8	almost	almost	ADV
ejpam-5793	487	9	frequency	frequency	VERB
ejpam-5793	487	10	independent	independent	ADJ
ejpam-5793	487	11	-	-	PUNCT
ejpam-5793	487	12	ii	ii	NOUN
ejpam-5793	487	13	.	.	PUNCT
ejpam-5793	488	1	geophysical	geophysical	ADJ
ejpam-5793	488	2	journal	journal	PROPN
ejpam-5793	488	3	international	international	PROPN
ejpam-5793	488	4	,	,	PUNCT
ejpam-5793	488	5	13(5):529—-539	13(5):529—-539	NUM
ejpam-5793	488	6	,	,	PUNCT
ejpam-5793	488	7	1967	1967	NUM
ejpam-5793	488	8	.	.	PUNCT
ejpam-5793	489	1	[	[	X
ejpam-5793	489	2	16	16	NUM
ejpam-5793	489	3	]	]	X
ejpam-5793	489	4	alvaro	alvaro	PROPN
ejpam-5793	489	5	cartea	cartea	PROPN
ejpam-5793	489	6	and	and	CCONJ
ejpam-5793	489	7	diego	diego	PROPN
ejpam-5793	489	8	del	del	PROPN
ejpam-5793	489	9	castillo	castillo	PROPN
ejpam-5793	489	10	-	-	PUNCT
ejpam-5793	489	11	negrete	negrete	PROPN
ejpam-5793	489	12	.	.	PUNCT
ejpam-5793	490	1	fractional	fractional	ADJ
ejpam-5793	490	2	diffusion	diffusion	NOUN
ejpam-5793	490	3	models	model	NOUN
ejpam-5793	490	4	of	of	ADP
ejpam-5793	490	5	option	option	NOUN
ejpam-5793	490	6	prices	price	NOUN
ejpam-5793	490	7	in	in	ADP
ejpam-5793	490	8	markets	market	NOUN
ejpam-5793	490	9	with	with	ADP
ejpam-5793	490	10	jumps	jump	NOUN
ejpam-5793	490	11	.	.	PUNCT
ejpam-5793	491	1	physica	physica	PROPN
ejpam-5793	491	2	a	a	DET
ejpam-5793	491	3	:	:	PUNCT
ejpam-5793	491	4	statistical	statistical	ADJ
ejpam-5793	491	5	mechanics	mechanic	NOUN
ejpam-5793	491	6	and	and	CCONJ
ejpam-5793	491	7	its	its	PRON
ejpam-5793	491	8	applications	application	NOUN
ejpam-5793	491	9	,	,	PUNCT
ejpam-5793	491	10	374(2):749–763	374(2):749–763	NUM
ejpam-5793	491	11	,	,	PUNCT
ejpam-5793	491	12	2007	2007	NUM
ejpam-5793	491	13	.	.	PUNCT
ejpam-5793	492	1	[	[	X
ejpam-5793	492	2	17	17	NUM
ejpam-5793	492	3	]	]	PUNCT
ejpam-5793	492	4	zhongdi	zhongdi	PROPN
ejpam-5793	492	5	cen	cen	PROPN
ejpam-5793	492	6	,	,	PUNCT
ejpam-5793	492	7	jian	jian	PROPN
ejpam-5793	492	8	huang	huang	PROPN
ejpam-5793	492	9	,	,	PUNCT
ejpam-5793	492	10	aimin	aimin	PROPN
ejpam-5793	492	11	xu	xu	PROPN
ejpam-5793	492	12	,	,	PUNCT
ejpam-5793	492	13	and	and	CCONJ
ejpam-5793	492	14	anbo	anbo	ADP
ejpam-5793	492	15	le	le	PROPN
ejpam-5793	492	16	.	.	PROPN
ejpam-5793	492	17	numerical	numerical	PROPN
ejpam-5793	492	18	approximation	approximation	NOUN
ejpam-5793	492	19	of	of	ADP
ejpam-5793	492	20	a	a	DET
ejpam-5793	492	21	time	time	NOUN
ejpam-5793	492	22	fractional	fractional	ADJ
ejpam-5793	492	23	black	black	ADJ
ejpam-5793	492	24	-	-	PUNCT
ejpam-5793	492	25	scholes	schole	NOUN
ejpam-5793	492	26	equation	equation	NOUN
ejpam-5793	492	27	.	.	PUNCT
ejpam-5793	493	1	computers	computer	NOUN
ejpam-5793	493	2	&	&	CCONJ
ejpam-5793	493	3	mathematics	mathematics	PROPN
ejpam-5793	493	4	with	with	ADP
ejpam-5793	493	5	applications	application	NOUN
ejpam-5793	493	6	,	,	PUNCT
ejpam-5793	493	7	75(8):2874–2887	75(8):2874–2887	NUM
ejpam-5793	493	8	,	,	PUNCT
ejpam-5793	493	9	2018	2018	NUM
ejpam-5793	493	10	.	.	PUNCT
ejpam-5793	494	1	[	[	X
ejpam-5793	494	2	18	18	NUM
ejpam-5793	494	3	]	]	X
ejpam-5793	494	4	cen	cen	PROPN
ejpam-5793	494	5	zhongdi	zhongdi	PROPN
ejpam-5793	494	6	,	,	PUNCT
ejpam-5793	494	7	jian	jian	PROPN
ejpam-5793	494	8	huang	huang	PROPN
ejpam-5793	494	9	,	,	PUNCT
ejpam-5793	494	10	aimin	aimin	PROPN
ejpam-5793	494	11	xu	xu	PROPN
ejpam-5793	494	12	,	,	PUNCT
ejpam-5793	494	13	and	and	CCONJ
ejpam-5793	494	14	anbo	anbo	ADP
ejpam-5793	494	15	le	le	PROPN
ejpam-5793	494	16	.	.	PROPN
ejpam-5793	494	17	numerical	numerical	PROPN
ejpam-5793	494	18	approximation	approximation	NOUN
ejpam-5793	494	19	of	of	ADP
ejpam-5793	494	20	a	a	DET
ejpam-5793	494	21	time	time	NOUN
ejpam-5793	494	22	-	-	PUNCT
ejpam-5793	494	23	fractional	fractional	ADJ
ejpam-5793	494	24	black	black	ADJ
ejpam-5793	494	25	–	–	PUNCT
ejpam-5793	494	26	scholes	schole	NOUN
ejpam-5793	494	27	equation	equation	NOUN
ejpam-5793	494	28	.	.	PUNCT
ejpam-5793	495	1	computers	computer	NOUN
ejpam-5793	495	2	&	&	CCONJ
ejpam-5793	495	3	mathematics	mathematics	PROPN
ejpam-5793	495	4	with	with	ADP
ejpam-5793	495	5	applications	application	NOUN
ejpam-5793	495	6	,	,	PUNCT
ejpam-5793	495	7	75:2874–2887	75:2874–2887	NUM
ejpam-5793	495	8	,	,	PUNCT
ejpam-5793	495	9	2018	2018	NUM
ejpam-5793	495	10	.	.	PUNCT
ejpam-5793	496	1	[	[	X
ejpam-5793	496	2	19	19	NUM
ejpam-5793	496	3	]	]	PUNCT
ejpam-5793	496	4	muhammed	muhamme	VERB
ejpam-5793	496	5	çetin	çetin	PROPN
ejpam-5793	496	6	,	,	PUNCT
ejpam-5793	496	7	mehmet	mehmet	PROPN
ejpam-5793	496	8	sezer	sezer	PROPN
ejpam-5793	496	9	,	,	PUNCT
ejpam-5793	496	10	and	and	CCONJ
ejpam-5793	496	11	coşkun	coşkun	PROPN
ejpam-5793	496	12	güler	güler	NOUN
ejpam-5793	496	13	.	.	PUNCT
ejpam-5793	497	1	lucas	lucas	PROPN
ejpam-5793	497	2	polynomial	polynomial	PROPN
ejpam-5793	497	3	approach	approach	PROPN
ejpam-5793	497	4	imtiaz	imtiaz	PROPN
ejpam-5793	498	1	ahmad	ahmad	PROPN
ejpam-5793	498	2	et	et	PROPN
ejpam-5793	498	3	al	al	PROPN
ejpam-5793	498	4	.	.	PUNCT
ejpam-5793	498	5	/	/	SYM
ejpam-5793	498	6	eur	eur	PROPN
ejpam-5793	498	7	.	.	PUNCT
ejpam-5793	499	1	j.	j.	PROPN
ejpam-5793	499	2	pure	pure	PROPN
ejpam-5793	499	3	appl	appl	PROPN
ejpam-5793	499	4	.	.	PROPN
ejpam-5793	499	5	math	math	PROPN
ejpam-5793	499	6	,	,	PUNCT
ejpam-5793	499	7	18	18	NUM
ejpam-5793	499	8	(	(	PUNCT
ejpam-5793	499	9	1	1	NUM
ejpam-5793	499	10	)	)	PUNCT
ejpam-5793	499	11	(	(	PUNCT
ejpam-5793	499	12	2025	2025	NUM
ejpam-5793	499	13	)	)	PUNCT
ejpam-5793	499	14	,	,	PUNCT
ejpam-5793	499	15	5793	5793	NUM
ejpam-5793	499	16	25	25	NUM
ejpam-5793	499	17	of	of	ADP
ejpam-5793	499	18	27	27	NUM
ejpam-5793	499	19	for	for	ADP
ejpam-5793	499	20	system	system	NOUN
ejpam-5793	499	21	of	of	ADP
ejpam-5793	499	22	high	high	ADJ
ejpam-5793	499	23	-	-	PUNCT
ejpam-5793	499	24	order	order	NOUN
ejpam-5793	499	25	linear	linear	NOUN
ejpam-5793	499	26	differential	differential	NOUN
ejpam-5793	499	27	equations	equation	NOUN
ejpam-5793	499	28	and	and	CCONJ
ejpam-5793	499	29	residual	residual	ADJ
ejpam-5793	499	30	error	error	NOUN
ejpam-5793	499	31	estimation	estimation	NOUN
ejpam-5793	499	32	.	.	PUNCT
ejpam-5793	500	1	mathematical	mathematical	ADJ
ejpam-5793	500	2	problems	problem	NOUN
ejpam-5793	500	3	in	in	ADP
ejpam-5793	500	4	engineering	engineering	NOUN
ejpam-5793	500	5	,	,	PUNCT
ejpam-5793	500	6	2015	2015	NUM
ejpam-5793	500	7	,	,	PUNCT
ejpam-5793	500	8	2015	2015	NUM
ejpam-5793	500	9	.	.	PUNCT
ejpam-5793	501	1	[	[	X
ejpam-5793	501	2	20	20	NUM
ejpam-5793	501	3	]	]	X
ejpam-5793	501	4	wen	wen	PROPN
ejpam-5793	501	5	chen	chen	PROPN
ejpam-5793	501	6	and	and	CCONJ
ejpam-5793	501	7	song	song	PROPN
ejpam-5793	501	8	wang	wang	PROPN
ejpam-5793	501	9	.	.	PUNCT
ejpam-5793	502	1	a	a	DET
ejpam-5793	502	2	penalty	penalty	NOUN
ejpam-5793	502	3	method	method	NOUN
ejpam-5793	502	4	for	for	ADP
ejpam-5793	502	5	a	a	DET
ejpam-5793	502	6	fractional	fractional	ADJ
ejpam-5793	502	7	order	order	NOUN
ejpam-5793	502	8	parabolic	parabolic	ADJ
ejpam-5793	502	9	variational	variational	ADJ
ejpam-5793	502	10	inequality	inequality	NOUN
ejpam-5793	502	11	governing	govern	VERB
ejpam-5793	502	12	american	american	ADJ
ejpam-5793	502	13	put	put	NOUN
ejpam-5793	502	14	option	option	NOUN
ejpam-5793	502	15	valuation	valuation	NOUN
ejpam-5793	502	16	.	.	PUNCT
ejpam-5793	503	1	computers	computer	NOUN
ejpam-5793	503	2	&	&	CCONJ
ejpam-5793	503	3	mathematics	mathematics	PROPN
ejpam-5793	503	4	with	with	ADP
ejpam-5793	503	5	applications	application	NOUN
ejpam-5793	503	6	,	,	PUNCT
ejpam-5793	503	7	67(1):77–90	67(1):77–90	NUM
ejpam-5793	503	8	,	,	PUNCT
ejpam-5793	503	9	2014	2014	NUM
ejpam-5793	503	10	.	.	PUNCT
ejpam-5793	504	1	[	[	X
ejpam-5793	504	2	21	21	NUM
ejpam-5793	504	3	]	]	X
ejpam-5793	504	4	wenting	wente	VERB
ejpam-5793	504	5	chen	chen	PROPN
ejpam-5793	504	6	,	,	PUNCT
ejpam-5793	504	7	xiang	xiang	PROPN
ejpam-5793	504	8	xu	xu	PROPN
ejpam-5793	504	9	,	,	PUNCT
ejpam-5793	504	10	and	and	CCONJ
ejpam-5793	504	11	song	song	NOUN
ejpam-5793	504	12	-	-	PUNCT
ejpam-5793	504	13	ping	ping	NOUN
ejpam-5793	504	14	zhu	zhu	PROPN
ejpam-5793	504	15	.	.	PUNCT
ejpam-5793	505	1	analytically	analytically	ADV
ejpam-5793	505	2	pricing	price	VERB
ejpam-5793	505	3	double	double	ADJ
ejpam-5793	505	4	barrier	barrier	NOUN
ejpam-5793	505	5	options	option	NOUN
ejpam-5793	505	6	based	base	VERB
ejpam-5793	505	7	on	on	ADP
ejpam-5793	505	8	a	a	DET
ejpam-5793	505	9	time	time	NOUN
ejpam-5793	505	10	-	-	PUNCT
ejpam-5793	505	11	fractional	fractional	ADJ
ejpam-5793	505	12	black	black	ADJ
ejpam-5793	505	13	-	-	PUNCT
ejpam-5793	505	14	scholes	schole	NOUN
ejpam-5793	505	15	equation	equation	NOUN
ejpam-5793	505	16	.	.	PUNCT
ejpam-5793	506	1	computers	computer	NOUN
ejpam-5793	506	2	&	&	CCONJ
ejpam-5793	506	3	mathematics	mathematics	PROPN
ejpam-5793	506	4	with	with	ADP
ejpam-5793	506	5	applications	application	NOUN
ejpam-5793	506	6	,	,	PUNCT
ejpam-5793	506	7	69(12):1407–1419	69(12):1407–1419	NUM
ejpam-5793	506	8	,	,	PUNCT
ejpam-5793	506	9	2015	2015	NUM
ejpam-5793	506	10	.	.	PUNCT
ejpam-5793	507	1	[	[	X
ejpam-5793	507	2	22	22	NUM
ejpam-5793	507	3	]	]	X
ejpam-5793	507	4	wenting	wente	VERB
ejpam-5793	507	5	chen	chen	PROPN
ejpam-5793	507	6	,	,	PUNCT
ejpam-5793	507	7	xiang	xiang	PROPN
ejpam-5793	507	8	xu	xu	PROPN
ejpam-5793	507	9	,	,	PUNCT
ejpam-5793	507	10	and	and	CCONJ
ejpam-5793	507	11	song	song	NOUN
ejpam-5793	507	12	-	-	PUNCT
ejpam-5793	507	13	ping	ping	NOUN
ejpam-5793	507	14	zhu	zhu	PROPN
ejpam-5793	507	15	.	.	PUNCT
ejpam-5793	508	1	a	a	DET
ejpam-5793	508	2	predictor	predictor	NOUN
ejpam-5793	508	3	–	–	PUNCT
ejpam-5793	508	4	corrector	corrector	NOUN
ejpam-5793	508	5	approach	approach	NOUN
ejpam-5793	508	6	for	for	ADP
ejpam-5793	508	7	pricing	price	VERB
ejpam-5793	508	8	american	american	ADJ
ejpam-5793	508	9	options	option	NOUN
ejpam-5793	508	10	under	under	ADP
ejpam-5793	508	11	the	the	DET
ejpam-5793	508	12	finite	finite	ADJ
ejpam-5793	508	13	moment	moment	NOUN
ejpam-5793	508	14	log	log	NOUN
ejpam-5793	508	15	-	-	PUNCT
ejpam-5793	508	16	stable	stable	ADJ
ejpam-5793	508	17	model	model	NOUN
ejpam-5793	508	18	.	.	PUNCT
ejpam-5793	509	1	applied	apply	VERB
ejpam-5793	509	2	numerical	numerical	ADJ
ejpam-5793	509	3	mathematics	mathematic	NOUN
ejpam-5793	509	4	,	,	PUNCT
ejpam-5793	509	5	97:15–29	97:15–29	NUM
ejpam-5793	509	6	,	,	PUNCT
ejpam-5793	509	7	2015	2015	NUM
ejpam-5793	509	8	.	.	PUNCT
ejpam-5793	510	1	[	[	X
ejpam-5793	510	2	23	23	NUM
ejpam-5793	510	3	]	]	PUNCT
ejpam-5793	510	4	rafael	rafael	PROPN
ejpam-5793	510	5	company	company	PROPN
ejpam-5793	510	6	,	,	PUNCT
ejpam-5793	510	7	lucas	lucas	PROPN
ejpam-5793	510	8	jódar	jódar	PROPN
ejpam-5793	510	9	,	,	PUNCT
ejpam-5793	510	10	and	and	CCONJ
ejpam-5793	510	11	josé-ramón	josé-ramón	VERB
ejpam-5793	510	12	pintos	pintos	NOUN
ejpam-5793	510	13	.	.	PUNCT
ejpam-5793	511	1	a	a	DET
ejpam-5793	511	2	numerical	numerical	ADJ
ejpam-5793	511	3	method	method	NOUN
ejpam-5793	511	4	for	for	ADP
ejpam-5793	511	5	european	european	ADJ
ejpam-5793	511	6	option	option	NOUN
ejpam-5793	511	7	pricing	pricing	NOUN
ejpam-5793	511	8	with	with	ADP
ejpam-5793	511	9	transaction	transaction	NOUN
ejpam-5793	511	10	costs	cost	VERB
ejpam-5793	511	11	nonlinear	nonlinear	ADJ
ejpam-5793	511	12	equation	equation	NOUN
ejpam-5793	511	13	.	.	PUNCT
ejpam-5793	512	1	mathematical	mathematical	ADJ
ejpam-5793	512	2	and	and	CCONJ
ejpam-5793	512	3	computer	computer	NOUN
ejpam-5793	512	4	modelling	modelling	NOUN
ejpam-5793	512	5	,	,	PUNCT
ejpam-5793	512	6	50(5	50(5	PROPN
ejpam-5793	512	7	-	-	PUNCT
ejpam-5793	512	8	6):910–920	6):910–920	NUM
ejpam-5793	512	9	,	,	PUNCT
ejpam-5793	512	10	2009	2009	NUM
ejpam-5793	512	11	.	.	PUNCT
ejpam-5793	513	1	[	[	X
ejpam-5793	513	2	24	24	NUM
ejpam-5793	513	3	]	]	PUNCT
ejpam-5793	513	4	a	a	DET
ejpam-5793	513	5	farhadi	farhadi	NOUN
ejpam-5793	513	6	,	,	PUNCT
ejpam-5793	513	7	m	m	NOUN
ejpam-5793	513	8	salehi	salehi	NOUN
ejpam-5793	513	9	,	,	PUNCT
ejpam-5793	513	10	and	and	CCONJ
ejpam-5793	513	11	gh	gh	PROPN
ejpam-5793	513	12	erjaee	erjaee	PROPN
ejpam-5793	513	13	.	.	PUNCT
ejpam-5793	514	1	a	a	DET
ejpam-5793	514	2	new	new	ADJ
ejpam-5793	514	3	version	version	NOUN
ejpam-5793	514	4	of	of	ADP
ejpam-5793	514	5	black	black	ADJ
ejpam-5793	514	6	-	-	PUNCT
ejpam-5793	514	7	scholes	schole	NOUN
ejpam-5793	514	8	equation	equation	NOUN
ejpam-5793	514	9	presented	present	VERB
ejpam-5793	514	10	by	by	ADP
ejpam-5793	514	11	time	time	NOUN
ejpam-5793	514	12	-	-	PUNCT
ejpam-5793	514	13	fractional	fractional	ADJ
ejpam-5793	514	14	derivative	derivative	NOUN
ejpam-5793	514	15	.	.	PUNCT
ejpam-5793	515	1	iranian	iranian	ADJ
ejpam-5793	515	2	journal	journal	PROPN
ejpam-5793	515	3	of	of	ADP
ejpam-5793	515	4	science	science	NOUN
ejpam-5793	515	5	and	and	CCONJ
ejpam-5793	515	6	technology	technology	NOUN
ejpam-5793	515	7	,	,	PUNCT
ejpam-5793	515	8	transactions	transaction	VERB
ejpam-5793	515	9	a	a	DET
ejpam-5793	515	10	:	:	PUNCT
ejpam-5793	515	11	science	science	NOUN
ejpam-5793	515	12	,	,	PUNCT
ejpam-5793	515	13	42(4):2159–2166	42(4):2159–2166	NUM
ejpam-5793	515	14	,	,	PUNCT
ejpam-5793	515	15	2018	2018	NUM
ejpam-5793	515	16	.	.	PUNCT
ejpam-5793	516	1	[	[	X
ejpam-5793	516	2	25	25	NUM
ejpam-5793	516	3	]	]	PUNCT
ejpam-5793	516	4	gregory	gregory	PROPN
ejpam-5793	516	5	eric	eric	PROPN
ejpam-5793	516	6	fasshauer	fasshauer	PROPN
ejpam-5793	516	7	,	,	PUNCT
ejpam-5793	516	8	abdul	abdul	PROPN
ejpam-5793	516	9	qayyummasud	qayyummasud	PROPN
ejpam-5793	516	10	khaliq	khaliq	ADV
ejpam-5793	516	11	,	,	PUNCT
ejpam-5793	516	12	and	and	CCONJ
ejpam-5793	516	13	david	david	PROPN
ejpam-5793	516	14	albert	albert	PROPN
ejpam-5793	516	15	voss	voss	PROPN
ejpam-5793	516	16	.	.	PUNCT
ejpam-5793	517	1	using	use	VERB
ejpam-5793	517	2	meshfree	meshfree	NOUN
ejpam-5793	517	3	approximation	approximation	NOUN
ejpam-5793	517	4	for	for	ADP
ejpam-5793	517	5	multi	multi	ADJ
ejpam-5793	517	6	-	-	ADJ
ejpam-5793	517	7	asset	asset	ADJ
ejpam-5793	517	8	american	american	ADJ
ejpam-5793	517	9	options	option	NOUN
ejpam-5793	517	10	.	.	PUNCT
ejpam-5793	518	1	journal	journal	NOUN
ejpam-5793	518	2	of	of	ADP
ejpam-5793	518	3	the	the	DET
ejpam-5793	518	4	chinese	chinese	PROPN
ejpam-5793	518	5	institute	institute	PROPN
ejpam-5793	518	6	of	of	ADP
ejpam-5793	518	7	engineers	engineer	NOUN
ejpam-5793	518	8	,	,	PUNCT
ejpam-5793	518	9	27(4):563–571	27(4):563–571	PROPN
ejpam-5793	518	10	,	,	PUNCT
ejpam-5793	518	11	2004	2004	NUM
ejpam-5793	518	12	.	.	PUNCT
ejpam-5793	519	1	[	[	X
ejpam-5793	519	2	26	26	NUM
ejpam-5793	519	3	]	]	X
ejpam-5793	519	4	black	black	ADJ
ejpam-5793	519	5	fischer	fischer	NOUN
ejpam-5793	519	6	and	and	CCONJ
ejpam-5793	519	7	myron	myron	PROPN
ejpam-5793	519	8	scholes	scholes	PROPN
ejpam-5793	519	9	.	.	PUNCT
ejpam-5793	520	1	the	the	DET
ejpam-5793	520	2	pricing	pricing	NOUN
ejpam-5793	520	3	of	of	ADP
ejpam-5793	520	4	options	option	NOUN
ejpam-5793	520	5	and	and	CCONJ
ejpam-5793	520	6	corporate	corporate	ADJ
ejpam-5793	520	7	liabilities	liability	NOUN
ejpam-5793	520	8	.	.	PUNCT
ejpam-5793	521	1	journal	journal	NOUN
ejpam-5793	521	2	of	of	ADP
ejpam-5793	521	3	political	political	ADJ
ejpam-5793	521	4	economy	economy	NOUN
ejpam-5793	521	5	,	,	PUNCT
ejpam-5793	521	6	81:637–654	81:637–654	NUM
ejpam-5793	521	7	,	,	PUNCT
ejpam-5793	521	8	1973	1973	NUM
ejpam-5793	521	9	.	.	PUNCT
ejpam-5793	522	1	[	[	X
ejpam-5793	522	2	27	27	NUM
ejpam-5793	522	3	]	]	X
ejpam-5793	522	4	ahmad	ahmad	PROPN
ejpam-5793	522	5	golbabai	golbabai	PROPN
ejpam-5793	522	6	and	and	CCONJ
ejpam-5793	522	7	omid	omid	PROPN
ejpam-5793	522	8	nikan	nikan	PROPN
ejpam-5793	522	9	.	.	PUNCT
ejpam-5793	523	1	a	a	DET
ejpam-5793	523	2	computational	computational	ADJ
ejpam-5793	523	3	method	method	NOUN
ejpam-5793	523	4	based	base	VERB
ejpam-5793	523	5	on	on	ADP
ejpam-5793	523	6	the	the	DET
ejpam-5793	523	7	moving	move	VERB
ejpam-5793	523	8	least	least	ADJ
ejpam-5793	523	9	-	-	PUNCT
ejpam-5793	523	10	squares	square	NOUN
ejpam-5793	523	11	approach	approach	NOUN
ejpam-5793	523	12	for	for	ADP
ejpam-5793	523	13	pricing	price	VERB
ejpam-5793	523	14	double	double	ADJ
ejpam-5793	523	15	barrier	barrier	NOUN
ejpam-5793	523	16	options	option	NOUN
ejpam-5793	523	17	in	in	ADP
ejpam-5793	523	18	a	a	DET
ejpam-5793	523	19	time	time	NOUN
ejpam-5793	523	20	-	-	PUNCT
ejpam-5793	523	21	fractional	fractional	ADJ
ejpam-5793	523	22	black	black	ADJ
ejpam-5793	523	23	–	–	PUNCT
ejpam-5793	523	24	scholes	schole	NOUN
ejpam-5793	523	25	model	model	NOUN
ejpam-5793	523	26	.	.	PUNCT
ejpam-5793	524	1	computational	computational	ADJ
ejpam-5793	524	2	economics	economic	NOUN
ejpam-5793	524	3	,	,	PUNCT
ejpam-5793	524	4	55(1):119–141	55(1):119–141	NUM
ejpam-5793	524	5	,	,	PUNCT
ejpam-5793	524	6	2020	2020	NUM
ejpam-5793	524	7	.	.	PUNCT
ejpam-5793	525	1	[	[	X
ejpam-5793	525	2	28	28	NUM
ejpam-5793	525	3	]	]	X
ejpam-5793	525	4	ahmad	ahmad	PROPN
ejpam-5793	525	5	golbabai	golbabai	PROPN
ejpam-5793	525	6	,	,	PUNCT
ejpam-5793	525	7	omid	omid	PROPN
ejpam-5793	525	8	nikan	nikan	PROPN
ejpam-5793	525	9	,	,	PUNCT
ejpam-5793	525	10	and	and	CCONJ
ejpam-5793	525	11	touraj	touraj	PROPN
ejpam-5793	525	12	nikazad	nikazad	PROPN
ejpam-5793	525	13	.	.	PUNCT
ejpam-5793	526	1	numerical	numerical	ADJ
ejpam-5793	526	2	analysis	analysis	NOUN
ejpam-5793	526	3	of	of	ADP
ejpam-5793	526	4	time	time	NOUN
ejpam-5793	526	5	fractional	fractional	ADJ
ejpam-5793	526	6	black	black	ADJ
ejpam-5793	526	7	-	-	PUNCT
ejpam-5793	526	8	scholes	schole	NOUN
ejpam-5793	526	9	european	european	ADJ
ejpam-5793	526	10	option	option	NOUN
ejpam-5793	526	11	pricing	pricing	NOUN
ejpam-5793	526	12	model	model	NOUN
ejpam-5793	526	13	arising	arise	VERB
ejpam-5793	526	14	in	in	ADP
ejpam-5793	526	15	financial	financial	ADJ
ejpam-5793	526	16	market	market	NOUN
ejpam-5793	526	17	.	.	PUNCT
ejpam-5793	527	1	computational	computational	ADJ
ejpam-5793	527	2	and	and	CCONJ
ejpam-5793	527	3	applied	applied	ADJ
ejpam-5793	527	4	mathematics	mathematic	NOUN
ejpam-5793	527	5	,	,	PUNCT
ejpam-5793	527	6	38(4):173	38(4):173	NUM
ejpam-5793	527	7	,	,	PUNCT
ejpam-5793	527	8	2019	2019	NUM
ejpam-5793	527	9	.	.	PUNCT
ejpam-5793	528	1	[	[	X
ejpam-5793	528	2	29	29	NUM
ejpam-5793	528	3	]	]	X
ejpam-5793	528	4	mustafa	mustafa	PROPN
ejpam-5793	528	5	inc	inc	PROPN
ejpam-5793	528	6	,	,	PUNCT
ejpam-5793	528	7	muhammad	muhammad	PROPN
ejpam-5793	528	8	nawaz	nawaz	PROPN
ejpam-5793	528	9	khan	khan	PROPN
ejpam-5793	528	10	,	,	PUNCT
ejpam-5793	528	11	imtiaz	imtiaz	PROPN
ejpam-5793	528	12	ahmad	ahmad	PROPN
ejpam-5793	528	13	,	,	PUNCT
ejpam-5793	528	14	shao	shao	PROPN
ejpam-5793	528	15	-	-	PUNCT
ejpam-5793	528	16	wen	wen	PROPN
ejpam-5793	528	17	yao	yao	PROPN
ejpam-5793	528	18	,	,	PUNCT
ejpam-5793	528	19	hijaz	hijaz	PROPN
ejpam-5793	528	20	ahmad	ahmad	PROPN
ejpam-5793	528	21	,	,	PUNCT
ejpam-5793	528	22	and	and	CCONJ
ejpam-5793	528	23	phatiphat	phatiphat	PRON
ejpam-5793	528	24	thounthong	thounthong	NOUN
ejpam-5793	528	25	.	.	PUNCT
ejpam-5793	529	1	analysing	analyse	VERB
ejpam-5793	529	2	time	time	NOUN
ejpam-5793	529	3	-	-	PUNCT
ejpam-5793	529	4	fractional	fractional	ADJ
ejpam-5793	529	5	exotic	exotic	ADJ
ejpam-5793	529	6	options	option	NOUN
ejpam-5793	529	7	via	via	ADP
ejpam-5793	529	8	efficient	efficient	ADJ
ejpam-5793	529	9	local	local	ADJ
ejpam-5793	529	10	meshless	meshless	ADJ
ejpam-5793	529	11	method	method	NOUN
ejpam-5793	529	12	.	.	PUNCT
ejpam-5793	530	1	results	result	NOUN
ejpam-5793	530	2	in	in	ADP
ejpam-5793	530	3	physics	physics	NOUN
ejpam-5793	530	4	,	,	PUNCT
ejpam-5793	530	5	19:103385	19:103385	NUM
ejpam-5793	530	6	,	,	PUNCT
ejpam-5793	530	7	2020	2020	NUM
ejpam-5793	530	8	.	.	PUNCT
ejpam-5793	531	1	[	[	X
ejpam-5793	531	2	30	30	NUM
ejpam-5793	531	3	]	]	X
ejpam-5793	531	4	rashid	rashid	PROPN
ejpam-5793	531	5	jan	jan	PROPN
ejpam-5793	531	6	,	,	PUNCT
ejpam-5793	531	7	salah	salah	PROPN
ejpam-5793	531	8	boulaaras	boulaaras	PROPN
ejpam-5793	531	9	,	,	PUNCT
ejpam-5793	531	10	mohammad	mohammad	PROPN
ejpam-5793	531	11	alnegga	alnegga	PROPN
ejpam-5793	531	12	,	,	PUNCT
ejpam-5793	531	13	and	and	CCONJ
ejpam-5793	531	14	farah	farah	PROPN
ejpam-5793	531	15	aini	aini	PROPN
ejpam-5793	531	16	abdullah	abdullah	PROPN
ejpam-5793	531	17	.	.	PUNCT
ejpam-5793	532	1	fractional	fractional	ADJ
ejpam-5793	532	2	-	-	PUNCT
ejpam-5793	532	3	calculus	calculus	NOUN
ejpam-5793	532	4	analysis	analysis	NOUN
ejpam-5793	532	5	of	of	ADP
ejpam-5793	532	6	the	the	DET
ejpam-5793	532	7	dynamics	dynamic	NOUN
ejpam-5793	532	8	of	of	ADP
ejpam-5793	532	9	typhoid	typhoid	NOUN
ejpam-5793	532	10	fever	fever	NOUN
ejpam-5793	532	11	with	with	ADP
ejpam-5793	532	12	the	the	DET
ejpam-5793	532	13	effect	effect	NOUN
ejpam-5793	532	14	of	of	ADP
ejpam-5793	532	15	vaccination	vaccination	NOUN
ejpam-5793	532	16	and	and	CCONJ
ejpam-5793	532	17	carriers	carrier	NOUN
ejpam-5793	532	18	.	.	PUNCT
ejpam-5793	533	1	international	international	ADJ
ejpam-5793	533	2	journal	journal	PROPN
ejpam-5793	533	3	of	of	ADP
ejpam-5793	533	4	numerical	numerical	PROPN
ejpam-5793	533	5	modelling	modelling	NOUN
ejpam-5793	533	6	:	:	PUNCT
ejpam-5793	533	7	electronic	electronic	ADJ
ejpam-5793	533	8	networks	network	NOUN
ejpam-5793	533	9	,	,	PUNCT
ejpam-5793	533	10	devices	device	NOUN
ejpam-5793	533	11	and	and	CCONJ
ejpam-5793	533	12	fields	field	NOUN
ejpam-5793	533	13	,	,	PUNCT
ejpam-5793	533	14	37(2):e3184	37(2):e3184	NOUN
ejpam-5793	533	15	,	,	PUNCT
ejpam-5793	533	16	2024	2024	NUM
ejpam-5793	533	17	.	.	PUNCT
ejpam-5793	534	1	[	[	X
ejpam-5793	534	2	31	31	NUM
ejpam-5793	534	3	]	]	X
ejpam-5793	534	4	rashid	rashid	PROPN
ejpam-5793	534	5	jan	jan	PROPN
ejpam-5793	534	6	,	,	PUNCT
ejpam-5793	534	7	normy	normy	PROPN
ejpam-5793	534	8	norfiza	norfiza	PROPN
ejpam-5793	534	9	abdul	abdul	PROPN
ejpam-5793	534	10	razak	razak	PROPN
ejpam-5793	534	11	,	,	PUNCT
ejpam-5793	534	12	salah	salah	PROPN
ejpam-5793	534	13	boulaaras	boulaaras	NOUN
ejpam-5793	534	14	,	,	PUNCT
ejpam-5793	534	15	and	and	CCONJ
ejpam-5793	534	16	ziad	ziad	PROPN
ejpam-5793	534	17	ur	ur	PROPN
ejpam-5793	534	18	rehman	rehman	PROPN
ejpam-5793	534	19	.	.	PUNCT
ejpam-5793	535	1	fractional	fractional	ADJ
ejpam-5793	535	2	insights	insight	NOUN
ejpam-5793	535	3	into	into	ADP
ejpam-5793	535	4	zika	zika	NOUN
ejpam-5793	535	5	virus	virus	NOUN
ejpam-5793	535	6	transmission	transmission	NOUN
ejpam-5793	535	7	:	:	PUNCT
ejpam-5793	535	8	exploring	explore	VERB
ejpam-5793	535	9	preventive	preventive	ADJ
ejpam-5793	535	10	measures	measure	NOUN
ejpam-5793	535	11	from	from	ADP
ejpam-5793	535	12	a	a	DET
ejpam-5793	535	13	dynamical	dynamical	ADJ
ejpam-5793	535	14	perspective	perspective	NOUN
ejpam-5793	535	15	.	.	PUNCT
ejpam-5793	536	1	nonlinear	nonlinear	ADJ
ejpam-5793	536	2	engineering	engineering	NOUN
ejpam-5793	536	3	,	,	PUNCT
ejpam-5793	536	4	12(1):20220352	12(1):20220352	NUM
ejpam-5793	536	5	,	,	PUNCT
ejpam-5793	536	6	2023	2023	NUM
ejpam-5793	536	7	.	.	PUNCT
ejpam-5793	537	1	[	[	X
ejpam-5793	537	2	32	32	NUM
ejpam-5793	537	3	]	]	X
ejpam-5793	537	4	guy	guy	NOUN
ejpam-5793	537	5	jumarie	jumarie	PROPN
ejpam-5793	537	6	.	.	PUNCT
ejpam-5793	538	1	stock	stock	NOUN
ejpam-5793	538	2	exchange	exchange	PROPN
ejpam-5793	538	3	fractional	fractional	ADJ
ejpam-5793	538	4	dynamics	dynamic	NOUN
ejpam-5793	538	5	defined	define	VERB
ejpam-5793	538	6	as	as	ADP
ejpam-5793	538	7	fractional	fractional	ADJ
ejpam-5793	538	8	exponential	exponential	ADJ
ejpam-5793	538	9	growth	growth	NOUN
ejpam-5793	538	10	driven	drive	VERB
ejpam-5793	538	11	by	by	ADP
ejpam-5793	538	12	(	(	PUNCT
ejpam-5793	538	13	usual	usual	ADJ
ejpam-5793	538	14	)	)	PUNCT
ejpam-5793	538	15	gaussian	gaussian	ADJ
ejpam-5793	538	16	white	white	ADJ
ejpam-5793	538	17	noise	noise	NOUN
ejpam-5793	538	18	.	.	PUNCT
ejpam-5793	539	1	application	application	NOUN
ejpam-5793	539	2	to	to	ADP
ejpam-5793	539	3	fractional	fractional	ADJ
ejpam-5793	539	4	black	black	ADJ
ejpam-5793	539	5	-	-	PUNCT
ejpam-5793	539	6	scholes	schole	NOUN
ejpam-5793	539	7	equations	equation	NOUN
ejpam-5793	539	8	.	.	PUNCT
ejpam-5793	540	1	insurance	insurance	NOUN
ejpam-5793	540	2	:	:	PUNCT
ejpam-5793	540	3	mathematics	mathematic	NOUN
ejpam-5793	540	4	and	and	CCONJ
ejpam-5793	540	5	economics	economic	NOUN
ejpam-5793	540	6	,	,	PUNCT
ejpam-5793	540	7	42(1):271–287	42(1):271–287	NUM
ejpam-5793	540	8	,	,	PUNCT
ejpam-5793	540	9	2008	2008	NUM
ejpam-5793	540	10	.	.	PUNCT
ejpam-5793	541	1	[	[	X
ejpam-5793	541	2	33	33	NUM
ejpam-5793	541	3	]	]	X
ejpam-5793	541	4	guy	guy	NOUN
ejpam-5793	541	5	jumarie	jumarie	NOUN
ejpam-5793	541	6	.	.	PUNCT
ejpam-5793	542	1	derivation	derivation	NOUN
ejpam-5793	542	2	and	and	CCONJ
ejpam-5793	542	3	solutions	solution	NOUN
ejpam-5793	542	4	of	of	ADP
ejpam-5793	542	5	some	some	DET
ejpam-5793	542	6	fractional	fractional	ADJ
ejpam-5793	542	7	black	black	ADJ
ejpam-5793	542	8	-	-	PUNCT
ejpam-5793	542	9	scholes	schole	NOUN
ejpam-5793	542	10	equations	equation	NOUN
ejpam-5793	542	11	in	in	ADP
ejpam-5793	542	12	coarse	coarse	NOUN
ejpam-5793	542	13	-	-	PUNCT
ejpam-5793	542	14	grained	grain	VERB
ejpam-5793	542	15	space	space	NOUN
ejpam-5793	542	16	and	and	CCONJ
ejpam-5793	542	17	time	time	NOUN
ejpam-5793	542	18	.	.	PUNCT
ejpam-5793	543	1	application	application	NOUN
ejpam-5793	543	2	to	to	ADP
ejpam-5793	543	3	merton	merton	PROPN
ejpam-5793	543	4	’s	’s	PART
ejpam-5793	543	5	optimal	optimal	ADJ
ejpam-5793	543	6	portfolio	portfolio	NOUN
ejpam-5793	543	7	.	.	PUNCT
ejpam-5793	544	1	computers	computer	NOUN
ejpam-5793	544	2	imtiaz	imtiaz	PROPN
ejpam-5793	544	3	ahmad	ahmad	PROPN
ejpam-5793	544	4	et	et	PROPN
ejpam-5793	544	5	al	al	PROPN
ejpam-5793	544	6	.	.	PUNCT
ejpam-5793	544	7	/	/	SYM
ejpam-5793	544	8	eur	eur	PROPN
ejpam-5793	544	9	.	.	PUNCT
ejpam-5793	545	1	j.	j.	PROPN
ejpam-5793	545	2	pure	pure	PROPN
ejpam-5793	545	3	appl	appl	PROPN
ejpam-5793	545	4	.	.	PROPN
ejpam-5793	545	5	math	math	PROPN
ejpam-5793	545	6	,	,	PUNCT
ejpam-5793	545	7	18	18	NUM
ejpam-5793	545	8	(	(	PUNCT
ejpam-5793	545	9	1	1	NUM
ejpam-5793	545	10	)	)	PUNCT
ejpam-5793	545	11	(	(	PUNCT
ejpam-5793	545	12	2025	2025	NUM
ejpam-5793	545	13	)	)	PUNCT
ejpam-5793	545	14	,	,	PUNCT
ejpam-5793	545	15	5793	5793	NUM
ejpam-5793	545	16	26	26	NUM
ejpam-5793	545	17	of	of	ADP
ejpam-5793	545	18	27	27	NUM
ejpam-5793	545	19	&	&	CCONJ
ejpam-5793	545	20	mathematics	mathematic	NOUN
ejpam-5793	545	21	with	with	ADP
ejpam-5793	545	22	applications	application	NOUN
ejpam-5793	545	23	,	,	PUNCT
ejpam-5793	545	24	59(3):1142–1164	59(3):1142–1164	NUM
ejpam-5793	545	25	,	,	PUNCT
ejpam-5793	545	26	2010	2010	NUM
ejpam-5793	545	27	.	.	PUNCT
ejpam-5793	546	1	[	[	X
ejpam-5793	546	2	34	34	NUM
ejpam-5793	546	3	]	]	PUNCT
ejpam-5793	546	4	mohan	mohan	PROPN
ejpam-5793	546	5	k	k	PROPN
ejpam-5793	546	6	kadalbajoo	kadalbajoo	PROPN
ejpam-5793	546	7	,	,	PUNCT
ejpam-5793	546	8	alpesh	alpesh	PROPN
ejpam-5793	546	9	kumar	kumar	PROPN
ejpam-5793	546	10	,	,	PUNCT
ejpam-5793	546	11	and	and	CCONJ
ejpam-5793	546	12	lok	lok	PROPN
ejpam-5793	546	13	pati	pati	PROPN
ejpam-5793	546	14	tripathi	tripathi	PROPN
ejpam-5793	546	15	.	.	PUNCT
ejpam-5793	547	1	application	application	NOUN
ejpam-5793	547	2	of	of	ADP
ejpam-5793	547	3	the	the	DET
ejpam-5793	547	4	local	local	ADJ
ejpam-5793	547	5	radial	radial	ADJ
ejpam-5793	547	6	basis	basis	NOUN
ejpam-5793	547	7	function	function	NOUN
ejpam-5793	547	8	-	-	PUNCT
ejpam-5793	547	9	based	base	VERB
ejpam-5793	547	10	finite	finite	ADJ
ejpam-5793	547	11	difference	difference	NOUN
ejpam-5793	547	12	method	method	NOUN
ejpam-5793	547	13	for	for	ADP
ejpam-5793	547	14	pricing	price	VERB
ejpam-5793	547	15	american	american	ADJ
ejpam-5793	547	16	options	option	NOUN
ejpam-5793	547	17	.	.	PUNCT
ejpam-5793	548	1	international	international	ADJ
ejpam-5793	548	2	journal	journal	PROPN
ejpam-5793	548	3	of	of	ADP
ejpam-5793	548	4	computer	computer	NOUN
ejpam-5793	548	5	mathematics	mathematic	NOUN
ejpam-5793	548	6	,	,	PUNCT
ejpam-5793	548	7	92(8):1608–1624	92(8):1608–1624	NUM
ejpam-5793	548	8	,	,	PUNCT
ejpam-5793	548	9	2015	2015	NUM
ejpam-5793	548	10	.	.	PUNCT
ejpam-5793	549	1	[	[	X
ejpam-5793	549	2	35	35	NUM
ejpam-5793	549	3	]	]	X
ejpam-5793	549	4	aqm	aqm	VERB
ejpam-5793	549	5	khaliq	khaliq	ADJ
ejpam-5793	549	6	,	,	PUNCT
ejpam-5793	549	7	da	da	PROPN
ejpam-5793	549	8	voss	voss	PROPN
ejpam-5793	549	9	,	,	PUNCT
ejpam-5793	549	10	and	and	CCONJ
ejpam-5793	549	11	shk	shk	PROPN
ejpam-5793	549	12	kazmi	kazmi	PROPN
ejpam-5793	549	13	.	.	PUNCT
ejpam-5793	550	1	a	a	DET
ejpam-5793	550	2	linearly	linearly	ADV
ejpam-5793	550	3	implicit	implicit	ADJ
ejpam-5793	550	4	predictor	predictor	NOUN
ejpam-5793	550	5	–	–	PUNCT
ejpam-5793	550	6	corrector	corrector	NOUN
ejpam-5793	550	7	scheme	scheme	NOUN
ejpam-5793	550	8	for	for	ADP
ejpam-5793	550	9	pricing	price	VERB
ejpam-5793	550	10	american	american	ADJ
ejpam-5793	550	11	options	option	NOUN
ejpam-5793	550	12	using	use	VERB
ejpam-5793	550	13	a	a	DET
ejpam-5793	550	14	penalty	penalty	NOUN
ejpam-5793	550	15	method	method	NOUN
ejpam-5793	550	16	approach	approach	NOUN
ejpam-5793	550	17	.	.	PUNCT
ejpam-5793	551	1	journal	journal	NOUN
ejpam-5793	551	2	of	of	ADP
ejpam-5793	551	3	banking	banking	NOUN
ejpam-5793	551	4	&	&	CCONJ
ejpam-5793	551	5	finance	finance	PROPN
ejpam-5793	551	6	,	,	PUNCT
ejpam-5793	551	7	30(2):489–502	30(2):489–502	NUM
ejpam-5793	551	8	,	,	PUNCT
ejpam-5793	551	9	2006	2006	NUM
ejpam-5793	551	10	.	.	PUNCT
ejpam-5793	552	1	[	[	X
ejpam-5793	552	2	36	36	NUM
ejpam-5793	552	3	]	]	X
ejpam-5793	552	4	hasib	hasib	PROPN
ejpam-5793	552	5	khan	khan	PROPN
ejpam-5793	552	6	,	,	PUNCT
ejpam-5793	552	7	jehad	jehad	PROPN
ejpam-5793	552	8	alzabut	alzabut	PROPN
ejpam-5793	552	9	,	,	PUNCT
ejpam-5793	552	10	jf	jf	PROPN
ejpam-5793	552	11	gómez	gómez	NOUN
ejpam-5793	552	12	-	-	PUNCT
ejpam-5793	552	13	aguilar	aguilar	ADJ
ejpam-5793	552	14	,	,	PUNCT
ejpam-5793	552	15	and	and	CCONJ
ejpam-5793	552	16	abdulwasea	abdulwasea	NOUN
ejpam-5793	552	17	alkhazan	alkhazan	NOUN
ejpam-5793	552	18	.	.	PUNCT
ejpam-5793	553	1	essential	essential	ADJ
ejpam-5793	553	2	criteria	criterion	NOUN
ejpam-5793	553	3	for	for	ADP
ejpam-5793	553	4	existence	existence	NOUN
ejpam-5793	553	5	of	of	ADP
ejpam-5793	553	6	solution	solution	NOUN
ejpam-5793	553	7	of	of	ADP
ejpam-5793	553	8	a	a	DET
ejpam-5793	553	9	modified	modify	VERB
ejpam-5793	553	10	-	-	PUNCT
ejpam-5793	553	11	abc	abc	NOUN
ejpam-5793	553	12	fractional	fractional	ADJ
ejpam-5793	553	13	order	order	NOUN
ejpam-5793	553	14	smoking	smoking	NOUN
ejpam-5793	553	15	model	model	NOUN
ejpam-5793	553	16	.	.	PUNCT
ejpam-5793	554	1	ain	ain	PROPN
ejpam-5793	554	2	shams	sham	NOUN
ejpam-5793	554	3	engineering	engineering	NOUN
ejpam-5793	554	4	journal	journal	NOUN
ejpam-5793	554	5	,	,	PUNCT
ejpam-5793	554	6	15(5):102646	15(5):102646	NUM
ejpam-5793	554	7	,	,	PUNCT
ejpam-5793	554	8	2024	2024	NUM
ejpam-5793	554	9	.	.	PUNCT
ejpam-5793	555	1	[	[	X
ejpam-5793	555	2	37	37	NUM
ejpam-5793	555	3	]	]	X
ejpam-5793	555	4	hasib	hasib	PROPN
ejpam-5793	555	5	khan	khan	PROPN
ejpam-5793	555	6	,	,	PUNCT
ejpam-5793	555	7	altaf	altaf	PROPN
ejpam-5793	555	8	hussain	hussain	PROPN
ejpam-5793	555	9	rajpar	rajpar	PROPN
ejpam-5793	555	10	,	,	PUNCT
ejpam-5793	555	11	jehad	jehad	PROPN
ejpam-5793	555	12	alzabut	alzabut	PROPN
ejpam-5793	555	13	,	,	PUNCT
ejpam-5793	555	14	muhammad	muhammad	PROPN
ejpam-5793	555	15	aslam	aslam	PROPN
ejpam-5793	555	16	,	,	PUNCT
ejpam-5793	555	17	sina	sina	PROPN
ejpam-5793	555	18	etemad	etemad	PROPN
ejpam-5793	555	19	,	,	PUNCT
ejpam-5793	555	20	and	and	CCONJ
ejpam-5793	555	21	shahram	shahram	PROPN
ejpam-5793	555	22	rezapour	rezapour	PROPN
ejpam-5793	555	23	.	.	PUNCT
ejpam-5793	556	1	on	on	ADP
ejpam-5793	556	2	a	a	DET
ejpam-5793	556	3	fractal	fractal	ADJ
ejpam-5793	556	4	–	–	PUNCT
ejpam-5793	556	5	fractional	fractional	ADJ
ejpam-5793	556	6	-	-	PUNCT
ejpam-5793	556	7	based	base	VERB
ejpam-5793	556	8	modeling	modeling	NOUN
ejpam-5793	556	9	for	for	ADP
ejpam-5793	556	10	influenza	influenza	NOUN
ejpam-5793	556	11	and	and	CCONJ
ejpam-5793	556	12	its	its	PRON
ejpam-5793	556	13	analytical	analytical	ADJ
ejpam-5793	556	14	results	result	NOUN
ejpam-5793	556	15	.	.	PUNCT
ejpam-5793	557	1	qualitative	qualitative	ADJ
ejpam-5793	557	2	theory	theory	NOUN
ejpam-5793	557	3	of	of	ADP
ejpam-5793	557	4	dynamical	dynamical	ADJ
ejpam-5793	557	5	systems	system	NOUN
ejpam-5793	557	6	,	,	PUNCT
ejpam-5793	557	7	23(2):70	23(2):70	NUM
ejpam-5793	557	8	,	,	PUNCT
ejpam-5793	557	9	2024	2024	NUM
ejpam-5793	557	10	.	.	PUNCT
ejpam-5793	558	1	[	[	X
ejpam-5793	558	2	38	38	NUM
ejpam-5793	558	3	]	]	X
ejpam-5793	558	4	jin	jin	NOUN
ejpam-5793	558	5	-	-	PUNCT
ejpam-5793	558	6	rong	rong	PROPN
ejpam-5793	558	7	liang	liang	PROPN
ejpam-5793	558	8	,	,	PUNCT
ejpam-5793	558	9	jun	jun	PROPN
ejpam-5793	558	10	wang	wang	PROPN
ejpam-5793	558	11	,	,	PUNCT
ejpam-5793	558	12	wen	wen	PROPN
ejpam-5793	558	13	-	-	PROPN
ejpam-5793	558	14	jun	jun	PROPN
ejpam-5793	558	15	zhang	zhang	PROPN
ejpam-5793	558	16	,	,	PUNCT
ejpam-5793	558	17	wei	wei	PROPN
ejpam-5793	558	18	-	-	PROPN
ejpam-5793	558	19	yuan	yuan	PROPN
ejpam-5793	558	20	qiu	qiu	PROPN
ejpam-5793	558	21	,	,	PUNCT
ejpam-5793	558	22	and	and	CCONJ
ejpam-5793	558	23	fu	fu	ADJ
ejpam-5793	558	24	-	-	PUNCT
ejpam-5793	558	25	yao	yao	NOUN
ejpam-5793	558	26	ren	ren	PROPN
ejpam-5793	558	27	.	.	PUNCT
ejpam-5793	559	1	the	the	DET
ejpam-5793	559	2	solution	solution	NOUN
ejpam-5793	559	3	to	to	ADP
ejpam-5793	559	4	a	a	DET
ejpam-5793	559	5	bi	bi	ADJ
ejpam-5793	559	6	-	-	ADJ
ejpam-5793	559	7	fractional	fractional	ADJ
ejpam-5793	559	8	black	black	ADJ
ejpam-5793	559	9	-	-	PUNCT
ejpam-5793	559	10	scholes	schole	NOUN
ejpam-5793	559	11	-	-	PUNCT
ejpam-5793	559	12	merton	merton	NOUN
ejpam-5793	559	13	differential	differential	ADJ
ejpam-5793	559	14	equation	equation	NOUN
ejpam-5793	559	15	.	.	PUNCT
ejpam-5793	560	1	international	international	ADJ
ejpam-5793	560	2	journal	journal	NOUN
ejpam-5793	560	3	of	of	ADP
ejpam-5793	560	4	pure	pure	ADJ
ejpam-5793	560	5	and	and	CCONJ
ejpam-5793	560	6	applied	applied	ADJ
ejpam-5793	560	7	mathematics	mathematic	NOUN
ejpam-5793	560	8	,	,	PUNCT
ejpam-5793	560	9	58(1):99–112	58(1):99–112	NUM
ejpam-5793	560	10	,	,	PUNCT
ejpam-5793	560	11	2010	2010	NUM
ejpam-5793	560	12	.	.	PUNCT
ejpam-5793	561	1	[	[	X
ejpam-5793	561	2	39	39	NUM
ejpam-5793	561	3	]	]	PUNCT
ejpam-5793	561	4	farshid	farshid	VERB
ejpam-5793	561	5	mirzaee	mirzaee	ADJ
ejpam-5793	561	6	and	and	CCONJ
ejpam-5793	561	7	seyede	seyede	VERB
ejpam-5793	561	8	fatemeh	fatemeh	NOUN
ejpam-5793	561	9	hoseini	hoseini	NOUN
ejpam-5793	561	10	.	.	PUNCT
ejpam-5793	562	1	application	application	NOUN
ejpam-5793	562	2	of	of	ADP
ejpam-5793	562	3	fibonacci	fibonacci	NOUN
ejpam-5793	562	4	collocation	collocation	NOUN
ejpam-5793	562	5	method	method	NOUN
ejpam-5793	562	6	for	for	ADP
ejpam-5793	562	7	solving	solve	VERB
ejpam-5793	562	8	volterra	volterra	NOUN
ejpam-5793	562	9	–	–	PUNCT
ejpam-5793	562	10	fredholm	fredholm	ADJ
ejpam-5793	562	11	integral	integral	ADJ
ejpam-5793	562	12	equations	equation	NOUN
ejpam-5793	562	13	.	.	PUNCT
ejpam-5793	563	1	applied	apply	VERB
ejpam-5793	563	2	mathematics	mathematic	NOUN
ejpam-5793	563	3	and	and	CCONJ
ejpam-5793	563	4	computation	computation	NOUN
ejpam-5793	563	5	,	,	PUNCT
ejpam-5793	563	6	273:637–644	273:637–644	NUM
ejpam-5793	563	7	,	,	PUNCT
ejpam-5793	563	8	2016	2016	NUM
ejpam-5793	563	9	.	.	PUNCT
ejpam-5793	564	1	[	[	X
ejpam-5793	564	2	40	40	NUM
ejpam-5793	564	3	]	]	PUNCT
ejpam-5793	564	4	bjørn	bjørn	PROPN
ejpam-5793	564	5	fredrik	fredrik	PROPN
ejpam-5793	564	6	nielsen	nielsen	PROPN
ejpam-5793	564	7	,	,	PUNCT
ejpam-5793	564	8	ola	ola	PROPN
ejpam-5793	564	9	skavhaug	skavhaug	PROPN
ejpam-5793	564	10	,	,	PUNCT
ejpam-5793	564	11	and	and	CCONJ
ejpam-5793	564	12	aslak	aslak	PROPN
ejpam-5793	564	13	tveito	tveito	PROPN
ejpam-5793	564	14	.	.	PUNCT
ejpam-5793	565	1	penalty	penalty	NOUN
ejpam-5793	565	2	and	and	CCONJ
ejpam-5793	565	3	front	front	ADJ
ejpam-5793	565	4	-	-	PUNCT
ejpam-5793	565	5	fixing	fix	VERB
ejpam-5793	565	6	methods	method	NOUN
ejpam-5793	565	7	for	for	ADP
ejpam-5793	565	8	the	the	DET
ejpam-5793	565	9	numerical	numerical	ADJ
ejpam-5793	565	10	solution	solution	NOUN
ejpam-5793	565	11	of	of	ADP
ejpam-5793	565	12	american	american	ADJ
ejpam-5793	565	13	option	option	NOUN
ejpam-5793	565	14	problems	problem	NOUN
ejpam-5793	565	15	.	.	PUNCT
ejpam-5793	566	1	journal	journal	NOUN
ejpam-5793	566	2	of	of	ADP
ejpam-5793	566	3	computational	computational	ADJ
ejpam-5793	566	4	finance	finance	NOUN
ejpam-5793	566	5	,	,	PUNCT
ejpam-5793	566	6	5(4):69–98	5(4):69–98	NUM
ejpam-5793	566	7	,	,	PUNCT
ejpam-5793	566	8	2002	2002	NUM
ejpam-5793	566	9	.	.	PUNCT
ejpam-5793	567	1	[	[	X
ejpam-5793	567	2	41	41	NUM
ejpam-5793	567	3	]	]	PUNCT
ejpam-5793	567	4	ömer	ömer	NUM
ejpam-5793	567	5	oruç.	oruç.	NOUN
ejpam-5793	567	6	a	a	DET
ejpam-5793	567	7	new	new	ADJ
ejpam-5793	567	8	algorithm	algorithm	NOUN
ejpam-5793	567	9	based	base	VERB
ejpam-5793	567	10	on	on	ADP
ejpam-5793	567	11	lucas	lucas	NOUN
ejpam-5793	567	12	polynomials	polynomial	NOUN
ejpam-5793	567	13	for	for	ADP
ejpam-5793	567	14	approximate	approximate	ADJ
ejpam-5793	567	15	solution	solution	NOUN
ejpam-5793	567	16	of	of	ADP
ejpam-5793	567	17	1d	1d	NUM
ejpam-5793	567	18	and	and	CCONJ
ejpam-5793	567	19	2d	2d	NUM
ejpam-5793	567	20	nonlinear	nonlinear	ADJ
ejpam-5793	567	21	generalized	generalize	VERB
ejpam-5793	567	22	benjamin	benjamin	NOUN
ejpam-5793	567	23	–	–	PUNCT
ejpam-5793	567	24	bona	bona	ADJ
ejpam-5793	567	25	–	–	PUNCT
ejpam-5793	567	26	mahony	mahony	X
ejpam-5793	567	27	–	–	PUNCT
ejpam-5793	567	28	burgers	burger	NOUN
ejpam-5793	567	29	equation	equation	NOUN
ejpam-5793	567	30	.	.	PUNCT
ejpam-5793	568	1	computers	computer	NOUN
ejpam-5793	568	2	&	&	CCONJ
ejpam-5793	568	3	mathematics	mathematics	PROPN
ejpam-5793	568	4	with	with	ADP
ejpam-5793	568	5	applications	application	NOUN
ejpam-5793	568	6	,	,	PUNCT
ejpam-5793	568	7	74(12):3042–3057	74(12):3042–3057	NUM
ejpam-5793	568	8	,	,	PUNCT
ejpam-5793	568	9	2017	2017	NUM
ejpam-5793	568	10	.	.	PUNCT
ejpam-5793	569	1	[	[	X
ejpam-5793	569	2	42	42	NUM
ejpam-5793	569	3	]	]	PUNCT
ejpam-5793	569	4	j.	j.	PROPN
ejpam-5793	569	5	a.	a.	PROPN
ejpam-5793	569	6	rad	rad	PROPN
ejpam-5793	569	7	,	,	PUNCT
ejpam-5793	569	8	k.	k.	PROPN
ejpam-5793	569	9	parand	parand	PROPN
ejpam-5793	569	10	,	,	PUNCT
ejpam-5793	569	11	and	and	CCONJ
ejpam-5793	569	12	l.	l.	PROPN
ejpam-5793	569	13	v.	v.	ADP
ejpam-5793	569	14	ballestra	ballestra	PROPN
ejpam-5793	569	15	.	.	PUNCT
ejpam-5793	569	16	pricing	price	VERB
ejpam-5793	569	17	european	european	ADJ
ejpam-5793	569	18	and	and	CCONJ
ejpam-5793	569	19	american	american	ADJ
ejpam-5793	569	20	options	option	NOUN
ejpam-5793	569	21	by	by	ADP
ejpam-5793	569	22	radial	radial	ADJ
ejpam-5793	569	23	basis	basis	NOUN
ejpam-5793	569	24	point	point	NOUN
ejpam-5793	569	25	interpolation	interpolation	NOUN
ejpam-5793	569	26	.	.	PUNCT
ejpam-5793	569	27	applied	apply	VERB
ejpam-5793	569	28	mathematics	mathematic	NOUN
ejpam-5793	569	29	and	and	CCONJ
ejpam-5793	569	30	computation	computation	NOUN
ejpam-5793	569	31	,	,	PUNCT
ejpam-5793	569	32	251:363–377	251:363–377	NUM
ejpam-5793	569	33	,	,	PUNCT
ejpam-5793	569	34	2015	2015	NUM
ejpam-5793	569	35	.	.	PUNCT
ejpam-5793	570	1	[	[	X
ejpam-5793	570	2	43	43	NUM
ejpam-5793	570	3	]	]	X
ejpam-5793	570	4	ziad	ziad	PROPN
ejpam-5793	570	5	ur	ur	PROPN
ejpam-5793	570	6	rehman	rehman	PROPN
ejpam-5793	570	7	,	,	PUNCT
ejpam-5793	570	8	salah	salah	PROPN
ejpam-5793	570	9	boulaaras	boulaaras	PROPN
ejpam-5793	570	10	,	,	PUNCT
ejpam-5793	570	11	rashid	rashid	PROPN
ejpam-5793	570	12	jan	jan	PROPN
ejpam-5793	570	13	,	,	PUNCT
ejpam-5793	570	14	imtiaz	imtiaz	PROPN
ejpam-5793	570	15	ahmad	ahmad	PROPN
ejpam-5793	570	16	,	,	PUNCT
ejpam-5793	570	17	and	and	CCONJ
ejpam-5793	570	18	salma	salma	PROPN
ejpam-5793	570	19	bahramand	bahramand	PROPN
ejpam-5793	570	20	.	.	PUNCT
ejpam-5793	571	1	computational	computational	ADJ
ejpam-5793	571	2	analysis	analysis	NOUN
ejpam-5793	571	3	of	of	ADP
ejpam-5793	571	4	financial	financial	ADJ
ejpam-5793	571	5	system	system	NOUN
ejpam-5793	571	6	through	through	ADP
ejpam-5793	571	7	non	non	ADJ
ejpam-5793	571	8	-	-	ADJ
ejpam-5793	571	9	integer	integer	ADJ
ejpam-5793	571	10	derivative	derivative	NOUN
ejpam-5793	571	11	.	.	PUNCT
ejpam-5793	572	1	journal	journal	PROPN
ejpam-5793	572	2	of	of	ADP
ejpam-5793	572	3	computational	computational	ADJ
ejpam-5793	572	4	science	science	NOUN
ejpam-5793	572	5	,	,	PUNCT
ejpam-5793	572	6	75:102204	75:102204	NUM
ejpam-5793	572	7	,	,	PUNCT
ejpam-5793	572	8	2024	2024	NUM
ejpam-5793	572	9	.	.	PUNCT
ejpam-5793	573	1	[	[	X
ejpam-5793	573	2	44	44	NUM
ejpam-5793	573	3	]	]	X
ejpam-5793	573	4	siraj	siraj	PROPN
ejpam-5793	573	5	-	-	PUNCT
ejpam-5793	573	6	ul	ul	PROPN
ejpam-5793	573	7	-	-	PUNCT
ejpam-5793	573	8	islam	islam	PROPN
ejpam-5793	573	9	and	and	CCONJ
ejpam-5793	573	10	imtiaz	imtiaz	PROPN
ejpam-5793	573	11	ahmad	ahmad	PROPN
ejpam-5793	573	12	.	.	PUNCT
ejpam-5793	574	1	a	a	DET
ejpam-5793	574	2	comparative	comparative	ADJ
ejpam-5793	574	3	analysis	analysis	NOUN
ejpam-5793	574	4	of	of	ADP
ejpam-5793	574	5	local	local	ADJ
ejpam-5793	574	6	meshless	meshless	ADJ
ejpam-5793	574	7	formulation	formulation	NOUN
ejpam-5793	574	8	for	for	ADP
ejpam-5793	574	9	multi	multi	ADJ
ejpam-5793	574	10	-	-	ADJ
ejpam-5793	574	11	asset	asset	ADJ
ejpam-5793	574	12	option	option	NOUN
ejpam-5793	574	13	models	model	NOUN
ejpam-5793	574	14	.	.	PUNCT
ejpam-5793	575	1	engineering	engineer	VERB
ejpam-5793	575	2	analysis	analysis	NOUN
ejpam-5793	575	3	with	with	ADP
ejpam-5793	575	4	boundary	boundary	ADJ
ejpam-5793	575	5	elements	element	NOUN
ejpam-5793	575	6	,	,	PUNCT
ejpam-5793	575	7	65:159–176	65:159–176	PROPN
ejpam-5793	575	8	,	,	PUNCT
ejpam-5793	575	9	2016	2016	NUM
ejpam-5793	575	10	.	.	PUNCT
ejpam-5793	576	1	[	[	X
ejpam-5793	576	2	45	45	NUM
ejpam-5793	576	3	]	]	X
ejpam-5793	576	4	siraj	siraj	PROPN
ejpam-5793	576	5	-	-	PUNCT
ejpam-5793	576	6	ul	ul	PROPN
ejpam-5793	576	7	-	-	PUNCT
ejpam-5793	576	8	islam	islam	PROPN
ejpam-5793	576	9	and	and	CCONJ
ejpam-5793	576	10	imtiaz	imtiaz	PROPN
ejpam-5793	576	11	ahmad	ahmad	PROPN
ejpam-5793	576	12	.	.	PUNCT
ejpam-5793	577	1	local	local	ADJ
ejpam-5793	577	2	meshless	meshless	ADJ
ejpam-5793	577	3	method	method	NOUN
ejpam-5793	577	4	for	for	ADP
ejpam-5793	577	5	pdes	pde	NOUN
ejpam-5793	577	6	arising	arise	VERB
ejpam-5793	577	7	from	from	ADP
ejpam-5793	577	8	models	model	NOUN
ejpam-5793	577	9	of	of	ADP
ejpam-5793	577	10	wound	wound	ADJ
ejpam-5793	577	11	healing	healing	NOUN
ejpam-5793	577	12	.	.	PUNCT
ejpam-5793	578	1	applied	apply	VERB
ejpam-5793	578	2	mathematical	mathematical	ADJ
ejpam-5793	578	3	modelling	modelling	NOUN
ejpam-5793	578	4	,	,	PUNCT
ejpam-5793	578	5	48:688–710	48:688–710	PROPN
ejpam-5793	578	6	,	,	PUNCT
ejpam-5793	578	7	2017	2017	NUM
ejpam-5793	578	8	.	.	PUNCT
ejpam-5793	579	1	[	[	X
ejpam-5793	579	2	46	46	NUM
ejpam-5793	579	3	]	]	X
ejpam-5793	579	4	s.o.edeki	s.o.edeki	NOUN
ejpam-5793	579	5	,	,	PUNCT
ejpam-5793	579	6	o.o	o.o	PROPN
ejpam-5793	579	7	ugbebor	ugbebor	NOUN
ejpam-5793	579	8	,	,	PUNCT
ejpam-5793	579	9	and	and	CCONJ
ejpam-5793	579	10	e.a	e.a	PROPN
ejpam-5793	579	11	owoloko	owoloko	PROPN
ejpam-5793	579	12	.	.	PROPN
ejpam-5793	580	1	analytical	analytical	ADJ
ejpam-5793	580	2	solutions	solution	NOUN
ejpam-5793	580	3	of	of	ADP
ejpam-5793	580	4	a	a	DET
ejpam-5793	580	5	time	time	NOUN
ejpam-5793	580	6	-	-	PUNCT
ejpam-5793	580	7	fractional	fractional	ADJ
ejpam-5793	580	8	nonlinear	nonlinear	ADJ
ejpam-5793	580	9	transaction	transaction	NOUN
ejpam-5793	580	10	-	-	PUNCT
ejpam-5793	580	11	cost	cost	NOUN
ejpam-5793	580	12	model	model	NOUN
ejpam-5793	580	13	for	for	ADP
ejpam-5793	580	14	stock	stock	NOUN
ejpam-5793	580	15	option	option	NOUN
ejpam-5793	580	16	valuation	valuation	NOUN
ejpam-5793	580	17	in	in	ADP
ejpam-5793	580	18	an	an	DET
ejpam-5793	580	19	illiquid	illiquid	ADJ
ejpam-5793	580	20	market	market	NOUN
ejpam-5793	580	21	setting	setting	NOUN
ejpam-5793	580	22	driven	drive	VERB
ejpam-5793	580	23	by	by	ADP
ejpam-5793	580	24	a	a	DET
ejpam-5793	580	25	relaxed	relaxed	ADJ
ejpam-5793	580	26	black	black	ADJ
ejpam-5793	580	27	-	-	PUNCT
ejpam-5793	580	28	scholes	schole	NOUN
ejpam-5793	580	29	assumption	assumption	NOUN
ejpam-5793	580	30	.	.	PUNCT
ejpam-5793	581	1	cogent	cogent	NOUN
ejpam-5793	581	2	mathematics	mathematic	NOUN
ejpam-5793	581	3	,	,	PUNCT
ejpam-5793	581	4	4:1–14	4:1–14	NUM
ejpam-5793	581	5	,	,	PUNCT
ejpam-5793	581	6	2017	2017	NUM
ejpam-5793	581	7	.	.	PUNCT
ejpam-5793	582	1	[	[	X
ejpam-5793	582	2	47	47	NUM
ejpam-5793	582	3	]	]	X
ejpam-5793	582	4	g.	g.	PROPN
ejpam-5793	582	5	strang	strang	PROPN
ejpam-5793	582	6	.	.	PUNCT
ejpam-5793	583	1	on	on	ADP
ejpam-5793	583	2	the	the	DET
ejpam-5793	583	3	construction	construction	NOUN
ejpam-5793	583	4	and	and	CCONJ
ejpam-5793	583	5	comparision	comparision	NOUN
ejpam-5793	583	6	of	of	ADP
ejpam-5793	583	7	difference	difference	NOUN
ejpam-5793	583	8	schemes	scheme	NOUN
ejpam-5793	583	9	.	.	PUNCT
ejpam-5793	584	1	siam	siam	PROPN
ejpam-5793	584	2	journal	journal	PROPN
ejpam-5793	584	3	on	on	ADP
ejpam-5793	584	4	numerical	numerical	ADJ
ejpam-5793	584	5	analysis	analysis	NOUN
ejpam-5793	584	6	,	,	PUNCT
ejpam-5793	584	7	5:506–517	5:506–517	PROPN
ejpam-5793	584	8	,	,	PUNCT
ejpam-5793	584	9	1968	1968	NUM
ejpam-5793	584	10	.	.	PUNCT
ejpam-5793	585	1	[	[	X
ejpam-5793	585	2	48	48	NUM
ejpam-5793	585	3	]	]	X
ejpam-5793	585	4	fuzhang	fuzhang	PROPN
ejpam-5793	585	5	wang	wang	PROPN
ejpam-5793	585	6	,	,	PUNCT
ejpam-5793	585	7	juan	juan	PROPN
ejpam-5793	585	8	zhang	zhang	PROPN
ejpam-5793	585	9	,	,	PUNCT
ejpam-5793	585	10	imtiaz	imtiaz	PROPN
ejpam-5793	585	11	ahmad	ahmad	PROPN
ejpam-5793	585	12	,	,	PUNCT
ejpam-5793	585	13	aamir	aamir	PROPN
ejpam-5793	585	14	farooq	farooq	PROPN
ejpam-5793	585	15	,	,	PUNCT
ejpam-5793	585	16	and	and	CCONJ
ejpam-5793	585	17	hijaz	hijaz	PROPN
ejpam-5793	585	18	ahmad	ahmad	PROPN
ejpam-5793	585	19	.	.	PUNCT
ejpam-5793	586	1	a	a	DET
ejpam-5793	586	2	imtiaz	imtiaz	PROPN
ejpam-5793	586	3	ahmad	ahmad	PROPN
ejpam-5793	586	4	et	et	PROPN
ejpam-5793	586	5	al	al	PROPN
ejpam-5793	586	6	.	.	PUNCT
ejpam-5793	586	7	/	/	SYM
ejpam-5793	586	8	eur	eur	PROPN
ejpam-5793	586	9	.	.	PUNCT
ejpam-5793	587	1	j.	j.	PROPN
ejpam-5793	587	2	pure	pure	PROPN
ejpam-5793	587	3	appl	appl	PROPN
ejpam-5793	587	4	.	.	PROPN
ejpam-5793	587	5	math	math	PROPN
ejpam-5793	587	6	,	,	PUNCT
ejpam-5793	587	7	18	18	NUM
ejpam-5793	587	8	(	(	PUNCT
ejpam-5793	587	9	1	1	NUM
ejpam-5793	587	10	)	)	PUNCT
ejpam-5793	587	11	(	(	PUNCT
ejpam-5793	587	12	2025	2025	NUM
ejpam-5793	587	13	)	)	PUNCT
ejpam-5793	587	14	,	,	PUNCT
ejpam-5793	587	15	5793	5793	NUM
ejpam-5793	587	16	27	27	NUM
ejpam-5793	587	17	of	of	ADP
ejpam-5793	587	18	27	27	NUM
ejpam-5793	587	19	novel	novel	ADJ
ejpam-5793	587	20	meshfree	meshfree	NOUN
ejpam-5793	587	21	strategy	strategy	NOUN
ejpam-5793	587	22	for	for	ADP
ejpam-5793	587	23	a	a	DET
ejpam-5793	587	24	viscous	viscous	ADJ
ejpam-5793	587	25	wave	wave	NOUN
ejpam-5793	587	26	equation	equation	NOUN
ejpam-5793	587	27	with	with	ADP
ejpam-5793	587	28	variable	variable	ADJ
ejpam-5793	587	29	coefficients	coefficient	NOUN
ejpam-5793	587	30	.	.	PUNCT
ejpam-5793	588	1	frontiers	frontier	NOUN
ejpam-5793	588	2	in	in	ADP
ejpam-5793	588	3	physics	physics	PROPN
ejpam-5793	588	4	,	,	PUNCT
ejpam-5793	588	5	9:701512	9:701512	NUM
ejpam-5793	588	6	,	,	PUNCT
ejpam-5793	588	7	2021	2021	NUM
ejpam-5793	588	8	.	.	PUNCT
ejpam-5793	589	1	[	[	X
ejpam-5793	589	2	49	49	NUM
ejpam-5793	589	3	]	]	X
ejpam-5793	589	4	mehmet	mehmet	PROPN
ejpam-5793	589	5	yavuz	yavuz	PROPN
ejpam-5793	589	6	and	and	CCONJ
ejpam-5793	589	7	necati	necati	PROPN
ejpam-5793	589	8	özdemir	özdemir	PROPN
ejpam-5793	589	9	.	.	PUNCT
ejpam-5793	589	10	european	european	ADJ
ejpam-5793	589	11	vanilla	vanilla	NOUN
ejpam-5793	589	12	option	option	NOUN
ejpam-5793	589	13	pricing	pricing	NOUN
ejpam-5793	589	14	model	model	NOUN
ejpam-5793	589	15	of	of	ADP
ejpam-5793	589	16	fractional	fractional	ADJ
ejpam-5793	589	17	order	order	NOUN
ejpam-5793	589	18	without	without	ADP
ejpam-5793	589	19	singular	singular	ADJ
ejpam-5793	589	20	kernel	kernel	PROPN
ejpam-5793	589	21	.	.	PUNCT
ejpam-5793	590	1	fractal	fractal	PROPN
ejpam-5793	590	2	and	and	CCONJ
ejpam-5793	590	3	fractional	fractional	ADJ
ejpam-5793	590	4	,	,	PUNCT
ejpam-5793	590	5	2(1):3	2(1):3	PROPN
ejpam-5793	590	6	,	,	PUNCT
ejpam-5793	590	7	2018	2018	NUM
ejpam-5793	590	8	.	.	PUNCT
ejpam-5793	591	1	[	[	X
ejpam-5793	591	2	50	50	NUM
ejpam-5793	591	3	]	]	X
ejpam-5793	591	4	h	h	PROPN
ejpam-5793	591	5	zhang	zhang	PROPN
ejpam-5793	591	6	,	,	PUNCT
ejpam-5793	591	7	f	f	PROPN
ejpam-5793	591	8	liu	liu	PROPN
ejpam-5793	591	9	,	,	PUNCT
ejpam-5793	591	10	i	i	PROPN
ejpam-5793	591	11	turner	turner	NOUN
ejpam-5793	591	12	,	,	PUNCT
ejpam-5793	591	13	and	and	CCONJ
ejpam-5793	591	14	q	q	PROPN
ejpam-5793	591	15	yang	yang	PROPN
ejpam-5793	591	16	.	.	PUNCT
ejpam-5793	592	1	numerical	numerical	ADJ
ejpam-5793	592	2	solution	solution	NOUN
ejpam-5793	592	3	of	of	ADP
ejpam-5793	592	4	the	the	DET
ejpam-5793	592	5	time	time	NOUN
ejpam-5793	592	6	fractional	fractional	ADJ
ejpam-5793	592	7	black	black	ADJ
ejpam-5793	592	8	scholes	schole	NOUN
ejpam-5793	592	9	model	model	NOUN
ejpam-5793	592	10	governing	govern	VERB
ejpam-5793	592	11	european	european	ADJ
ejpam-5793	592	12	options	option	NOUN
ejpam-5793	592	13	.	.	PUNCT
ejpam-5793	593	1	computers	computer	NOUN
ejpam-5793	593	2	&	&	CCONJ
ejpam-5793	593	3	mathematics	mathematics	PROPN
ejpam-5793	593	4	with	with	ADP
ejpam-5793	593	5	applications	application	NOUN
ejpam-5793	593	6	,	,	PUNCT
ejpam-5793	593	7	71:1772–1783	71:1772–1783	NUM
ejpam-5793	593	8	,	,	PUNCT
ejpam-5793	593	9	2016	2016	NUM
ejpam-5793	593	10	.	.	PUNCT
ejpam-5793	594	1	[	[	X
ejpam-5793	594	2	51	51	NUM
ejpam-5793	594	3	]	]	PUNCT
ejpam-5793	594	4	r.	r.	PROPN
ejpam-5793	594	5	zhang	zhang	PROPN
ejpam-5793	594	6	,	,	PUNCT
ejpam-5793	594	7	q.	q.	PROPN
ejpam-5793	594	8	zhang	zhang	PROPN
ejpam-5793	594	9	,	,	PUNCT
ejpam-5793	594	10	and	and	CCONJ
ejpam-5793	594	11	h.	h.	PROPN
ejpam-5793	594	12	song	song	PROPN
ejpam-5793	594	13	.	.	PUNCT
ejpam-5793	595	1	an	an	DET
ejpam-5793	595	2	effcient	effcient	PROPN
ejpam-5793	595	3	finite	finite	PROPN
ejpam-5793	595	4	element	element	PROPN
ejpam-5793	595	5	method	method	NOUN
ejpam-5793	595	6	for	for	ADP
ejpam-5793	595	7	pricing	price	VERB
ejpam-5793	595	8	american	american	ADJ
ejpam-5793	595	9	multi	multi	ADJ
ejpam-5793	595	10	-	-	ADJ
ejpam-5793	595	11	asset	asset	ADJ
ejpam-5793	595	12	put	put	NOUN
ejpam-5793	595	13	options	option	NOUN
ejpam-5793	595	14	.	.	PUNCT
ejpam-5793	596	1	communications	communication	NOUN
ejpam-5793	596	2	in	in	ADP
ejpam-5793	596	3	nonlinear	nonlinear	ADJ
ejpam-5793	596	4	science	science	NOUN
ejpam-5793	596	5	and	and	CCONJ
ejpam-5793	596	6	numerical	numerical	PROPN
ejpam-5793	596	7	simulation	simulation	PROPN
ejpam-5793	596	8	,	,	PUNCT
ejpam-5793	596	9	29:25–36	29:25–36	NUM
ejpam-5793	596	10	,	,	PUNCT
ejpam-5793	596	11	2015	2015	NUM
ejpam-5793	596	12	.	.	PUNCT
ejpam-5793	597	1	[	[	X
ejpam-5793	597	2	52	52	NUM
ejpam-5793	597	3	]	]	PUNCT
ejpam-5793	597	4	zhiqiang	zhiqiang	PROPN
ejpam-5793	597	5	zhou	zhou	PROPN
ejpam-5793	598	1	and	and	CCONJ
ejpam-5793	598	2	xuemei	xuemei	PROPN
ejpam-5793	598	3	gao	gao	PROPN
ejpam-5793	598	4	.	.	PUNCT
ejpam-5793	599	1	numerical	numerical	ADJ
ejpam-5793	599	2	methods	method	NOUN
ejpam-5793	599	3	for	for	ADP
ejpam-5793	599	4	pricing	price	VERB
ejpam-5793	599	5	american	american	ADJ
ejpam-5793	599	6	options	option	NOUN
ejpam-5793	599	7	with	with	ADP
ejpam-5793	599	8	time	time	NOUN
ejpam-5793	599	9	-	-	PUNCT
ejpam-5793	599	10	fractional	fractional	ADJ
ejpam-5793	599	11	pde	pde	NOUN
ejpam-5793	599	12	models	model	NOUN
ejpam-5793	599	13	.	.	PUNCT
ejpam-5793	600	1	mathematical	mathematical	ADJ
ejpam-5793	600	2	problems	problem	NOUN
ejpam-5793	600	3	in	in	ADP
ejpam-5793	600	4	engineering	engineering	NOUN
ejpam-5793	600	5	,	,	PUNCT
ejpam-5793	600	6	2016	2016	NUM
ejpam-5793	600	7	,	,	PUNCT
ejpam-5793	600	8	2016	2016	NUM
ejpam-5793	600	9	.	.	PUNCT