id	sid	tid	token	lemma	pos
ejpam-6774	1	1	european	european	PROPN
ejpam-6774	1	2	journal	journal	PROPN
ejpam-6774	1	3	of	of	ADP
ejpam-6774	1	4	pure	pure	ADJ
ejpam-6774	1	5	and	and	CCONJ
ejpam-6774	1	6	applied	applied	ADJ
ejpam-6774	1	7	mathematics	mathematic	NOUN
ejpam-6774	1	8	2025	2025	NUM
ejpam-6774	1	9	,	,	PUNCT
ejpam-6774	1	10	vol	vol	NOUN
ejpam-6774	1	11	.	.	PROPN
ejpam-6774	1	12	18	18	NUM
ejpam-6774	1	13	,	,	PUNCT
ejpam-6774	1	14	issue	issue	NOUN
ejpam-6774	1	15	4	4	NUM
ejpam-6774	1	16	,	,	PUNCT
ejpam-6774	1	17	article	article	NOUN
ejpam-6774	1	18	number	number	NOUN
ejpam-6774	1	19	6774	6774	NUM
ejpam-6774	1	20	issn	issn	VERB
ejpam-6774	1	21	1307	1307	NUM
ejpam-6774	1	22	-	-	SYM
ejpam-6774	1	23	5543	5543	NUM
ejpam-6774	1	24	–	–	PUNCT
ejpam-6774	1	25	ejpam.com	ejpam.com	X
ejpam-6774	1	26	published	publish	VERB
ejpam-6774	1	27	by	by	ADP
ejpam-6774	1	28	new	new	PROPN
ejpam-6774	1	29	york	york	PROPN
ejpam-6774	1	30	business	business	PROPN
ejpam-6774	1	31	global	global	ADJ
ejpam-6774	1	32	efficient	efficient	ADJ
ejpam-6774	1	33	treatment	treatment	NOUN
ejpam-6774	1	34	of	of	ADP
ejpam-6774	1	35	some	some	DET
ejpam-6774	1	36	important	important	ADJ
ejpam-6774	1	37	fractal	fractal	ADJ
ejpam-6774	1	38	-	-	PUNCT
ejpam-6774	1	39	fractional	fractional	ADJ
ejpam-6774	1	40	models	model	NOUN
ejpam-6774	1	41	:	:	PUNCT
ejpam-6774	1	42	theoretical	theoretical	ADJ
ejpam-6774	1	43	and	and	CCONJ
ejpam-6774	1	44	numerical	numerical	ADJ
ejpam-6774	1	45	study	study	PROPN
ejpam-6774	1	46	m.	m.	PROPN
ejpam-6774	1	47	adel1,∗	adel1,∗	PROPN
ejpam-6774	1	48	,	,	PUNCT
ejpam-6774	1	49	m.	m.	NOUN
ejpam-6774	1	50	m.	m.	PROPN
ejpam-6774	1	51	khader2,3	khader2,3	PROPN
ejpam-6774	1	52	,	,	PUNCT
ejpam-6774	1	53	dragan	dragan	VERB
ejpam-6774	1	54	pamucar4	pamucar4	PROPN
ejpam-6774	1	55	,	,	PUNCT
ejpam-6774	1	56	hijaz	hijaz	PROPN
ejpam-6774	1	57	ahmad5,6,7	ahmad5,6,7	PROPN
ejpam-6774	1	58	1	1	NUM
ejpam-6774	1	59	department	department	NOUN
ejpam-6774	1	60	of	of	ADP
ejpam-6774	1	61	mathematics	mathematic	NOUN
ejpam-6774	1	62	,	,	PUNCT
ejpam-6774	1	63	faculty	faculty	NOUN
ejpam-6774	1	64	of	of	ADP
ejpam-6774	1	65	science	science	NOUN
ejpam-6774	1	66	,	,	PUNCT
ejpam-6774	1	67	islamic	islamic	PROPN
ejpam-6774	1	68	university	university	PROPN
ejpam-6774	1	69	of	of	ADP
ejpam-6774	1	70	madinah	madinah	PROPN
ejpam-6774	1	71	,	,	PUNCT
ejpam-6774	1	72	madinah	madinah	PROPN
ejpam-6774	1	73	,	,	PUNCT
ejpam-6774	1	74	42351	42351	NUM
ejpam-6774	1	75	,	,	PUNCT
ejpam-6774	1	76	saudi	saudi	PROPN
ejpam-6774	1	77	arabia	arabia	PROPN
ejpam-6774	1	78	2	2	NUM
ejpam-6774	1	79	department	department	NOUN
ejpam-6774	1	80	of	of	ADP
ejpam-6774	1	81	mathematics	mathematic	NOUN
ejpam-6774	1	82	and	and	CCONJ
ejpam-6774	1	83	statistics	statistic	NOUN
ejpam-6774	1	84	,	,	PUNCT
ejpam-6774	1	85	college	college	NOUN
ejpam-6774	1	86	of	of	ADP
ejpam-6774	1	87	science	science	NOUN
ejpam-6774	1	88	,	,	PUNCT
ejpam-6774	1	89	imam	imam	PROPN
ejpam-6774	1	90	mohammad	mohammad	PROPN
ejpam-6774	1	91	ibn	ibn	PROPN
ejpam-6774	1	92	saud	saud	PROPN
ejpam-6774	1	93	islamic	islamic	PROPN
ejpam-6774	1	94	university	university	PROPN
ejpam-6774	1	95	(	(	PUNCT
ejpam-6774	1	96	imsiu	imsiu	PROPN
ejpam-6774	1	97	)	)	PUNCT
ejpam-6774	1	98	,	,	PUNCT
ejpam-6774	1	99	riyadh	riyadh	PROPN
ejpam-6774	1	100	,	,	PUNCT
ejpam-6774	1	101	saudi	saudi	PROPN
ejpam-6774	1	102	arabia	arabia	PROPN
ejpam-6774	1	103	3	3	NUM
ejpam-6774	1	104	department	department	NOUN
ejpam-6774	1	105	of	of	ADP
ejpam-6774	1	106	mathematics	mathematic	NOUN
ejpam-6774	1	107	,	,	PUNCT
ejpam-6774	1	108	faculty	faculty	NOUN
ejpam-6774	1	109	of	of	ADP
ejpam-6774	1	110	science	science	NOUN
ejpam-6774	1	111	,	,	PUNCT
ejpam-6774	1	112	benha	benha	VERB
ejpam-6774	1	113	university	university	NOUN
ejpam-6774	1	114	,	,	PUNCT
ejpam-6774	1	115	benha	benha	NOUN
ejpam-6774	1	116	,	,	PUNCT
ejpam-6774	1	117	egypt	egypt	PROPN
ejpam-6774	1	118	4	4	NUM
ejpam-6774	1	119	széchenyi	széchenyi	PROPN
ejpam-6774	1	120	istván	istván	PROPN
ejpam-6774	1	121	university	university	PROPN
ejpam-6774	1	122	,	,	PUNCT
ejpam-6774	1	123	győr	győr	PROPN
ejpam-6774	1	124	,	,	PUNCT
ejpam-6774	1	125	hungary	hungary	PROPN
ejpam-6774	1	126	5	5	NUM
ejpam-6774	1	127	operational	operational	ADJ
ejpam-6774	1	128	research	research	NOUN
ejpam-6774	1	129	center	center	NOUN
ejpam-6774	1	130	in	in	ADP
ejpam-6774	1	131	healthcare	healthcare	PROPN
ejpam-6774	1	132	,	,	PUNCT
ejpam-6774	1	133	near	near	ADP
ejpam-6774	1	134	east	east	PROPN
ejpam-6774	1	135	university	university	PROPN
ejpam-6774	1	136	,	,	PUNCT
ejpam-6774	1	137	nicosia	nicosia	PROPN
ejpam-6774	1	138	/	/	SYM
ejpam-6774	1	139	trnc	trnc	PROPN
ejpam-6774	1	140	,	,	PUNCT
ejpam-6774	1	141	99138	99138	NUM
ejpam-6774	1	142	mersin	mersin	PROPN
ejpam-6774	1	143	10	10	NUM
ejpam-6774	1	144	,	,	PUNCT
ejpam-6774	1	145	turkey	turkey	NOUN
ejpam-6774	1	146	6	6	NUM
ejpam-6774	1	147	vizja	vizja	PROPN
ejpam-6774	1	148	university	university	NOUN
ejpam-6774	1	149	,	,	PUNCT
ejpam-6774	1	150	okopowa	okopowa	VERB
ejpam-6774	1	151	59	59	NUM
ejpam-6774	1	152	,	,	PUNCT
ejpam-6774	1	153	01	01	NUM
ejpam-6774	1	154	-	-	PUNCT
ejpam-6774	1	155	043	043	NUM
ejpam-6774	1	156	warsaw	warsaw	PROPN
ejpam-6774	1	157	,	,	PUNCT
ejpam-6774	1	158	poland	poland	PROPN
ejpam-6774	1	159	7	7	NUM
ejpam-6774	1	160	department	department	NOUN
ejpam-6774	1	161	of	of	ADP
ejpam-6774	1	162	mathematics	mathematic	NOUN
ejpam-6774	1	163	,	,	PUNCT
ejpam-6774	1	164	college	college	NOUN
ejpam-6774	1	165	of	of	ADP
ejpam-6774	1	166	science	science	PROPN
ejpam-6774	1	167	,	,	PUNCT
ejpam-6774	1	168	korea	korea	PROPN
ejpam-6774	1	169	university	university	PROPN
ejpam-6774	1	170	,	,	PUNCT
ejpam-6774	1	171	seoul	seoul	PROPN
ejpam-6774	1	172	02841	02841	NUM
ejpam-6774	1	173	,	,	PUNCT
ejpam-6774	1	174	republic	republic	NOUN
ejpam-6774	1	175	of	of	ADP
ejpam-6774	1	176	korea	korea	PROPN
ejpam-6774	1	177	abstract	abstract	NOUN
ejpam-6774	1	178	.	.	PUNCT
ejpam-6774	2	1	in	in	ADP
ejpam-6774	2	2	this	this	DET
ejpam-6774	2	3	study	study	NOUN
ejpam-6774	2	4	,	,	PUNCT
ejpam-6774	2	5	we	we	PRON
ejpam-6774	2	6	investigate	investigate	VERB
ejpam-6774	2	7	two	two	NUM
ejpam-6774	2	8	fundamental	fundamental	ADJ
ejpam-6774	2	9	fractal	fractal	ADJ
ejpam-6774	2	10	-	-	PUNCT
ejpam-6774	2	11	fractional	fractional	ADJ
ejpam-6774	2	12	(	(	PUNCT
ejpam-6774	2	13	ff	ff	NOUN
ejpam-6774	2	14	)	)	PUNCT
ejpam-6774	2	15	models	model	NOUN
ejpam-6774	2	16	:	:	PUNCT
ejpam-6774	2	17	the	the	DET
ejpam-6774	2	18	competitive	competitive	ADJ
ejpam-6774	2	19	dynamics	dynamic	NOUN
ejpam-6774	2	20	among	among	ADP
ejpam-6774	2	21	egyptian	egyptian	ADJ
ejpam-6774	2	22	banks	bank	NOUN
ejpam-6774	2	23	and	and	CCONJ
ejpam-6774	2	24	the	the	DET
ejpam-6774	2	25	brusselator	brusselator	NOUN
ejpam-6774	2	26	system	system	NOUN
ejpam-6774	2	27	.	.	PUNCT
ejpam-6774	3	1	for	for	ADP
ejpam-6774	3	2	the	the	DET
ejpam-6774	3	3	banking	banking	NOUN
ejpam-6774	3	4	model	model	NOUN
ejpam-6774	3	5	,	,	PUNCT
ejpam-6774	3	6	optimal	optimal	ADJ
ejpam-6774	3	7	control	control	NOUN
ejpam-6774	3	8	strategies	strategy	NOUN
ejpam-6774	3	9	are	be	AUX
ejpam-6774	3	10	proposed	propose	VERB
ejpam-6774	3	11	to	to	PART
ejpam-6774	3	12	mitigate	mitigate	VERB
ejpam-6774	3	13	profit	profit	NOUN
ejpam-6774	3	14	downturns	downturn	NOUN
ejpam-6774	3	15	during	during	ADP
ejpam-6774	3	16	crises	crisis	NOUN
ejpam-6774	3	17	,	,	PUNCT
ejpam-6774	3	18	such	such	ADJ
ejpam-6774	3	19	as	as	ADP
ejpam-6774	3	20	the	the	DET
ejpam-6774	3	21	covid-19	covid-19	PROPN
ejpam-6774	3	22	pandemic	pandemic	NOUN
ejpam-6774	3	23	,	,	PUNCT
ejpam-6774	3	24	through	through	ADP
ejpam-6774	3	25	a	a	DET
ejpam-6774	3	26	system	system	NOUN
ejpam-6774	3	27	of	of	ADP
ejpam-6774	3	28	four	four	NUM
ejpam-6774	3	29	fractional	fractional	ADJ
ejpam-6774	3	30	differential	differential	ADJ
ejpam-6774	3	31	equations	equation	NOUN
ejpam-6774	3	32	.	.	PUNCT
ejpam-6774	4	1	recognizing	recognize	VERB
ejpam-6774	4	2	the	the	DET
ejpam-6774	4	3	slow	slow	ADJ
ejpam-6774	4	4	convergence	convergence	NOUN
ejpam-6774	4	5	of	of	ADP
ejpam-6774	4	6	traditional	traditional	ADJ
ejpam-6774	4	7	numerical	numerical	ADJ
ejpam-6774	4	8	methods	method	NOUN
ejpam-6774	4	9	,	,	PUNCT
ejpam-6774	4	10	an	an	DET
ejpam-6774	4	11	efficient	efficient	ADJ
ejpam-6774	4	12	integration	integration	NOUN
ejpam-6774	4	13	technique	technique	NOUN
ejpam-6774	4	14	is	be	AUX
ejpam-6774	4	15	developed	develop	VERB
ejpam-6774	4	16	to	to	PART
ejpam-6774	4	17	simulate	simulate	VERB
ejpam-6774	4	18	both	both	DET
ejpam-6774	4	19	models	model	NOUN
ejpam-6774	4	20	with	with	ADP
ejpam-6774	4	21	enhanced	enhanced	ADJ
ejpam-6774	4	22	accuracy	accuracy	NOUN
ejpam-6774	4	23	and	and	CCONJ
ejpam-6774	4	24	computational	computational	ADJ
ejpam-6774	4	25	efficiency	efficiency	NOUN
ejpam-6774	4	26	.	.	PUNCT
ejpam-6774	5	1	the	the	DET
ejpam-6774	5	2	simulation	simulation	NOUN
ejpam-6774	5	3	results	result	NOUN
ejpam-6774	5	4	reveal	reveal	VERB
ejpam-6774	5	5	the	the	DET
ejpam-6774	5	6	dynamic	dynamic	ADJ
ejpam-6774	5	7	behaviors	behavior	NOUN
ejpam-6774	5	8	of	of	ADP
ejpam-6774	5	9	the	the	DET
ejpam-6774	5	10	studied	study	VERB
ejpam-6774	5	11	systems	system	NOUN
ejpam-6774	5	12	for	for	ADP
ejpam-6774	5	13	various	various	ADJ
ejpam-6774	5	14	ff	ff	ADJ
ejpam-6774	5	15	-	-	PUNCT
ejpam-6774	5	16	operator	operator	NOUN
ejpam-6774	5	17	values	value	NOUN
ejpam-6774	5	18	,	,	PUNCT
ejpam-6774	5	19	confirming	confirm	VERB
ejpam-6774	5	20	the	the	DET
ejpam-6774	5	21	robustness	robustness	NOUN
ejpam-6774	5	22	and	and	CCONJ
ejpam-6774	5	23	precision	precision	NOUN
ejpam-6774	5	24	of	of	ADP
ejpam-6774	5	25	the	the	DET
ejpam-6774	5	26	proposed	propose	VERB
ejpam-6774	5	27	approach	approach	NOUN
ejpam-6774	5	28	when	when	SCONJ
ejpam-6774	5	29	compared	compare	VERB
ejpam-6774	5	30	with	with	ADP
ejpam-6774	5	31	the	the	DET
ejpam-6774	5	32	classical	classical	ADJ
ejpam-6774	5	33	fourth	fourth	ADJ
ejpam-6774	5	34	-	-	PUNCT
ejpam-6774	5	35	order	order	NOUN
ejpam-6774	5	36	runge	runge	NOUN
ejpam-6774	5	37	–	–	PUNCT
ejpam-6774	5	38	kutta	kutta	NOUN
ejpam-6774	5	39	method	method	NOUN
ejpam-6774	5	40	(	(	PUNCT
ejpam-6774	5	41	rk4	rk4	NOUN
ejpam-6774	5	42	m	m	NOUN
ejpam-6774	5	43	)	)	PUNCT
ejpam-6774	5	44	.	.	PUNCT
ejpam-6774	6	1	the	the	DET
ejpam-6774	6	2	presented	present	VERB
ejpam-6774	6	3	technique	technique	NOUN
ejpam-6774	6	4	offers	offer	VERB
ejpam-6774	6	5	a	a	DET
ejpam-6774	6	6	simple	simple	ADJ
ejpam-6774	6	7	yet	yet	CCONJ
ejpam-6774	6	8	powerful	powerful	ADJ
ejpam-6774	6	9	framework	framework	NOUN
ejpam-6774	6	10	for	for	ADP
ejpam-6774	6	11	modeling	modeling	NOUN
ejpam-6774	6	12	and	and	CCONJ
ejpam-6774	6	13	analyzing	analyze	VERB
ejpam-6774	6	14	complex	complex	ADJ
ejpam-6774	6	15	ff	ff	ADV
ejpam-6774	6	16	-	-	PUNCT
ejpam-6774	6	17	based	base	VERB
ejpam-6774	6	18	dynamical	dynamical	ADJ
ejpam-6774	6	19	systems	system	NOUN
ejpam-6774	6	20	.	.	PUNCT
ejpam-6774	7	1	2020	2020	NUM
ejpam-6774	7	2	mathematics	mathematic	NOUN
ejpam-6774	7	3	subject	subject	NOUN
ejpam-6774	7	4	classifications	classification	NOUN
ejpam-6774	7	5	:	:	PUNCT
ejpam-6774	7	6	34a12	34a12	NUM
ejpam-6774	7	7	,	,	PUNCT
ejpam-6774	7	8	41a30	41a30	NUM
ejpam-6774	7	9	,	,	PUNCT
ejpam-6774	7	10	47h10	47h10	NUM
ejpam-6774	7	11	,	,	PUNCT
ejpam-6774	7	12	65n20	65n20	NUM
ejpam-6774	7	13	key	key	ADJ
ejpam-6774	7	14	words	word	NOUN
ejpam-6774	7	15	and	and	CCONJ
ejpam-6774	7	16	phrases	phrase	NOUN
ejpam-6774	7	17	:	:	PUNCT
ejpam-6774	7	18	banks	bank	NOUN
ejpam-6774	7	19	’	'	PUNCT
ejpam-6774	7	20	competition	competition	NOUN
ejpam-6774	7	21	model	model	NOUN
ejpam-6774	7	22	,	,	PUNCT
ejpam-6774	7	23	optimal	optimal	ADJ
ejpam-6774	7	24	control	control	NOUN
ejpam-6774	7	25	,	,	PUNCT
ejpam-6774	7	26	brusselator	brusselator	NOUN
ejpam-6774	7	27	system	system	NOUN
ejpam-6774	7	28	,	,	PUNCT
ejpam-6774	7	29	fractal	fractal	ADJ
ejpam-6774	7	30	-	-	PUNCT
ejpam-6774	7	31	fractional	fractional	ADJ
ejpam-6774	7	32	derivative	derivative	ADJ
ejpam-6774	7	33	,	,	PUNCT
ejpam-6774	7	34	numerical	numerical	ADJ
ejpam-6774	7	35	integration	integration	NOUN
ejpam-6774	7	36	,	,	PUNCT
ejpam-6774	7	37	rk4	rk4	NOUN
ejpam-6774	7	38	m	m	NOUN
ejpam-6774	7	39	∗corresponding	∗corresponde	VERB
ejpam-6774	7	40	author	author	NOUN
ejpam-6774	7	41	.	.	PUNCT
ejpam-6774	8	1	doi	doi	NOUN
ejpam-6774	8	2	:	:	PUNCT
ejpam-6774	8	3	https://doi.org/10.29020/nybg.ejpam.v18i4.6774	https://doi.org/10.29020/nybg.ejpam.v18i4.6774	PROPN
ejpam-6774	8	4	email	email	NOUN
ejpam-6774	8	5	addresses	address	NOUN
ejpam-6774	8	6	:	:	PUNCT
ejpam-6774	8	7	adel@sci.cu.edu.eg	adel@sci.cu.edu.eg	PROPN
ejpam-6774	8	8	(	(	PUNCT
ejpam-6774	8	9	m.	m.	PROPN
ejpam-6774	8	10	adel	adel	PROPN
ejpam-6774	8	11	)	)	PUNCT
ejpam-6774	8	12	,	,	PUNCT
ejpam-6774	8	13	mmkhader@imamu.edu.sa	mmkhader@imamu.edu.sa	PROPN
ejpam-6774	8	14	(	(	PUNCT
ejpam-6774	8	15	m.	m.	NOUN
ejpam-6774	8	16	m.	m.	NOUN
ejpam-6774	8	17	khader	khader	PROPN
ejpam-6774	8	18	)	)	PUNCT
ejpam-6774	8	19	,	,	PUNCT
ejpam-6774	8	20	pamucar.dragan@sze.hu	pamucar.dragan@sze.hu	PROPN
ejpam-6774	8	21	(	(	PUNCT
ejpam-6774	8	22	d.	d.	PROPN
ejpam-6774	8	23	pamucar	pamucar	PROPN
ejpam-6774	8	24	)	)	PUNCT
ejpam-6774	8	25	,	,	PUNCT
ejpam-6774	8	26	hijazahmad@korea.ac.kr	hijazahmad@korea.ac.kr	PROPN
ejpam-6774	8	27	(	(	PUNCT
ejpam-6774	8	28	h.	h.	PROPN
ejpam-6774	8	29	ahmad	ahmad	PROPN
ejpam-6774	8	30	)	)	PUNCT
ejpam-6774	8	31	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6774	8	32	1	1	NUM
ejpam-6774	8	33	copyright	copyright	NOUN
ejpam-6774	8	34	:	:	PUNCT
ejpam-6774	8	35	©	©	PROPN
ejpam-6774	8	36	2025	2025	NUM
ejpam-6774	8	37	the	the	DET
ejpam-6774	8	38	author(s	author(s	NOUN
ejpam-6774	8	39	)	)	PUNCT
ejpam-6774	8	40	.	.	PUNCT
ejpam-6774	9	1	(	(	PUNCT
ejpam-6774	9	2	cc	cc	NOUN
ejpam-6774	9	3	by	by	ADP
ejpam-6774	9	4	-	-	PUNCT
ejpam-6774	9	5	nc	nc	PROPN
ejpam-6774	9	6	4.0	4.0	NUM
ejpam-6774	9	7	)	)	PUNCT
ejpam-6774	9	8	m.	m.	NOUN
ejpam-6774	9	9	adel	adel	PROPN
ejpam-6774	9	10	et	et	PROPN
ejpam-6774	9	11	al	al	PROPN
ejpam-6774	9	12	.	.	PUNCT
ejpam-6774	9	13	/	/	SYM
ejpam-6774	9	14	eur	eur	PROPN
ejpam-6774	9	15	.	.	PUNCT
ejpam-6774	10	1	j.	j.	PROPN
ejpam-6774	10	2	pure	pure	PROPN
ejpam-6774	10	3	appl	appl	PROPN
ejpam-6774	10	4	.	.	PROPN
ejpam-6774	10	5	math	math	PROPN
ejpam-6774	10	6	,	,	PUNCT
ejpam-6774	10	7	18	18	NUM
ejpam-6774	10	8	(	(	PUNCT
ejpam-6774	10	9	4	4	NUM
ejpam-6774	10	10	)	)	PUNCT
ejpam-6774	10	11	(	(	PUNCT
ejpam-6774	10	12	2025	2025	NUM
ejpam-6774	10	13	)	)	PUNCT
ejpam-6774	10	14	,	,	PUNCT
ejpam-6774	10	15	6774	6774	NUM
ejpam-6774	10	16	2	2	NUM
ejpam-6774	10	17	of	of	ADP
ejpam-6774	10	18	16	16	NUM
ejpam-6774	10	19	1	1	NUM
ejpam-6774	10	20	.	.	PUNCT
ejpam-6774	11	1	introduction	introduction	NOUN
ejpam-6774	11	2	mathematical	mathematical	ADJ
ejpam-6774	11	3	models	model	NOUN
ejpam-6774	11	4	are	be	AUX
ejpam-6774	11	5	not	not	PART
ejpam-6774	11	6	only	only	ADV
ejpam-6774	11	7	instrumental	instrumental	ADJ
ejpam-6774	11	8	in	in	ADP
ejpam-6774	11	9	addressing	address	VERB
ejpam-6774	11	10	scientific	scientific	ADJ
ejpam-6774	11	11	challenges	challenge	NOUN
ejpam-6774	11	12	but	but	CCONJ
ejpam-6774	11	13	are	be	AUX
ejpam-6774	11	14	also	also	ADV
ejpam-6774	11	15	gaining	gain	VERB
ejpam-6774	11	16	increasing	increase	VERB
ejpam-6774	11	17	prominence	prominence	NOUN
ejpam-6774	11	18	in	in	ADP
ejpam-6774	11	19	sectors	sector	NOUN
ejpam-6774	11	20	that	that	PRON
ejpam-6774	11	21	drive	drive	VERB
ejpam-6774	11	22	economic	economic	ADJ
ejpam-6774	11	23	growth	growth	NOUN
ejpam-6774	11	24	,	,	PUNCT
ejpam-6774	11	25	such	such	ADJ
ejpam-6774	11	26	as	as	ADP
ejpam-6774	11	27	banking	banking	NOUN
ejpam-6774	11	28	and	and	CCONJ
ejpam-6774	11	29	finance	finance	NOUN
ejpam-6774	11	30	.	.	PUNCT
ejpam-6774	12	1	a	a	DET
ejpam-6774	12	2	mathematical	mathematical	ADJ
ejpam-6774	12	3	competition	competition	NOUN
ejpam-6774	12	4	model	model	NOUN
ejpam-6774	12	5	,	,	PUNCT
ejpam-6774	12	6	which	which	PRON
ejpam-6774	12	7	is	be	AUX
ejpam-6774	12	8	typically	typically	ADV
ejpam-6774	12	9	represented	represent	VERB
ejpam-6774	12	10	by	by	ADP
ejpam-6774	12	11	a	a	DET
ejpam-6774	12	12	system	system	NOUN
ejpam-6774	12	13	of	of	ADP
ejpam-6774	12	14	ordinary	ordinary	ADJ
ejpam-6774	12	15	differential	differential	ADJ
ejpam-6774	12	16	equations	equation	NOUN
ejpam-6774	12	17	(	(	PUNCT
ejpam-6774	12	18	odes	ode	NOUN
ejpam-6774	12	19	)	)	PUNCT
ejpam-6774	12	20	,	,	PUNCT
ejpam-6774	12	21	is	be	AUX
ejpam-6774	12	22	commonly	commonly	ADV
ejpam-6774	12	23	employed	employ	VERB
ejpam-6774	12	24	to	to	PART
ejpam-6774	12	25	simulate	simulate	VERB
ejpam-6774	12	26	competitive	competitive	ADJ
ejpam-6774	12	27	interactions	interaction	NOUN
ejpam-6774	12	28	among	among	ADP
ejpam-6774	12	29	banks	bank	NOUN
ejpam-6774	12	30	(	(	PUNCT
ejpam-6774	12	31	[	[	X
ejpam-6774	12	32	1	1	NUM
ejpam-6774	12	33	]	]	PUNCT
ejpam-6774	12	34	,	,	PUNCT
ejpam-6774	12	35	[	[	X
ejpam-6774	12	36	2	2	NUM
ejpam-6774	12	37	]	]	NUM
ejpam-6774	12	38	)	)	PUNCT
ejpam-6774	12	39	.	.	PUNCT
ejpam-6774	13	1	the	the	DET
ejpam-6774	13	2	lotka	lotka	PROPN
ejpam-6774	13	3	�	�	PROPN
ejpam-6774	13	4	volterra	volterra	PROPN
ejpam-6774	13	5	system	system	NOUN
ejpam-6774	13	6	is	be	AUX
ejpam-6774	13	7	frequently	frequently	ADV
ejpam-6774	13	8	utilized	utilize	VERB
ejpam-6774	13	9	in	in	ADP
ejpam-6774	13	10	the	the	DET
ejpam-6774	13	11	financial	financial	ADJ
ejpam-6774	13	12	domain	domain	NOUN
ejpam-6774	13	13	to	to	PART
ejpam-6774	13	14	compare	compare	VERB
ejpam-6774	13	15	and	and	CCONJ
ejpam-6774	13	16	analyze	analyze	VERB
ejpam-6774	13	17	the	the	DET
ejpam-6774	13	18	profit	profit	NOUN
ejpam-6774	13	19	dynamics	dynamic	NOUN
ejpam-6774	13	20	of	of	ADP
ejpam-6774	13	21	banks	bank	NOUN
ejpam-6774	13	22	(	(	PUNCT
ejpam-6774	13	23	[	[	X
ejpam-6774	13	24	3	3	NUM
ejpam-6774	13	25	]	]	PUNCT
ejpam-6774	13	26	,	,	PUNCT
ejpam-6774	13	27	[	[	X
ejpam-6774	13	28	4	4	NUM
ejpam-6774	13	29	]	]	NUM
ejpam-6774	13	30	)	)	PUNCT
ejpam-6774	13	31	.	.	PUNCT
ejpam-6774	14	1	previous	previous	ADJ
ejpam-6774	14	2	studies	study	NOUN
ejpam-6774	14	3	,	,	PUNCT
ejpam-6774	14	4	such	such	ADJ
ejpam-6774	14	5	as	as	ADP
ejpam-6774	14	6	[	[	X
ejpam-6774	14	7	5	5	NUM
ejpam-6774	14	8	]	]	PUNCT
ejpam-6774	14	9	and	and	CCONJ
ejpam-6774	14	10	[	[	X
ejpam-6774	14	11	6	6	NUM
ejpam-6774	14	12	]	]	PUNCT
ejpam-6774	14	13	,	,	PUNCT
ejpam-6774	14	14	have	have	AUX
ejpam-6774	14	15	extended	extend	VERB
ejpam-6774	14	16	this	this	DET
ejpam-6774	14	17	framework	framework	NOUN
ejpam-6774	14	18	by	by	ADP
ejpam-6774	14	19	incorporating	incorporate	VERB
ejpam-6774	14	20	various	various	ADJ
ejpam-6774	14	21	definitions	definition	NOUN
ejpam-6774	14	22	of	of	ADP
ejpam-6774	14	23	fractional	fractional	ADJ
ejpam-6774	14	24	derivatives	derivative	NOUN
ejpam-6774	14	25	to	to	PART
ejpam-6774	14	26	capture	capture	VERB
ejpam-6774	14	27	the	the	DET
ejpam-6774	14	28	complex	complex	ADJ
ejpam-6774	14	29	competitive	competitive	ADJ
ejpam-6774	14	30	dynamics	dynamic	NOUN
ejpam-6774	14	31	between	between	ADP
ejpam-6774	14	32	indonesian	indonesian	ADJ
ejpam-6774	14	33	commercial	commercial	ADJ
ejpam-6774	14	34	and	and	CCONJ
ejpam-6774	14	35	rural	rural	ADJ
ejpam-6774	14	36	banks	bank	NOUN
ejpam-6774	14	37	.	.	PUNCT
ejpam-6774	15	1	according	accord	VERB
ejpam-6774	15	2	to	to	ADP
ejpam-6774	15	3	the	the	DET
ejpam-6774	15	4	central	central	ADJ
ejpam-6774	15	5	bank	bank	PROPN
ejpam-6774	15	6	of	of	ADP
ejpam-6774	15	7	egypt	egypt	PROPN
ejpam-6774	15	8	(	(	PUNCT
ejpam-6774	15	9	cbe	cbe	PROPN
ejpam-6774	15	10	)	)	PUNCT
ejpam-6774	15	11	,	,	PUNCT
ejpam-6774	15	12	the	the	DET
ejpam-6774	15	13	egyptian	egyptian	ADJ
ejpam-6774	15	14	banking	banking	NOUN
ejpam-6774	15	15	system	system	NOUN
ejpam-6774	15	16	comprises	comprise	VERB
ejpam-6774	15	17	33	33	NUM
ejpam-6774	15	18	banks	bank	NOUN
ejpam-6774	15	19	that	that	PRON
ejpam-6774	15	20	are	be	AUX
ejpam-6774	15	21	categorized	categorize	VERB
ejpam-6774	15	22	into	into	ADP
ejpam-6774	15	23	four	four	NUM
ejpam-6774	15	24	distinct	distinct	ADJ
ejpam-6774	15	25	groups	group	NOUN
ejpam-6774	15	26	[	[	X
ejpam-6774	15	27	7	7	NUM
ejpam-6774	15	28	]	]	PUNCT
ejpam-6774	15	29	,	,	PUNCT
ejpam-6774	15	30	and	and	CCONJ
ejpam-6774	15	31	the	the	DET
ejpam-6774	15	32	regulations	regulation	NOUN
ejpam-6774	15	33	issued	issue	VERB
ejpam-6774	15	34	by	by	ADP
ejpam-6774	15	35	the	the	DET
ejpam-6774	15	36	cbe	cbe	PROPN
ejpam-6774	15	37	apply	apply	VERB
ejpam-6774	15	38	uniformly	uniformly	ADV
ejpam-6774	15	39	to	to	ADP
ejpam-6774	15	40	all	all	DET
ejpam-6774	15	41	these	these	DET
ejpam-6774	15	42	institutions	institution	NOUN
ejpam-6774	15	43	.	.	PUNCT
ejpam-6774	16	1	the	the	DET
ejpam-6774	16	2	cbe	cbe	PROPN
ejpam-6774	16	3	performs	perform	VERB
ejpam-6774	16	4	the	the	DET
ejpam-6774	16	5	dual	dual	ADJ
ejpam-6774	16	6	roles	role	NOUN
ejpam-6774	16	7	of	of	ADP
ejpam-6774	16	8	national	national	ADJ
ejpam-6774	16	9	monetary	monetary	ADJ
ejpam-6774	16	10	authority	authority	NOUN
ejpam-6774	16	11	and	and	CCONJ
ejpam-6774	16	12	central	central	ADJ
ejpam-6774	16	13	bank	bank	NOUN
ejpam-6774	16	14	for	for	ADP
ejpam-6774	16	15	the	the	DET
ejpam-6774	16	16	nation	nation	NOUN
ejpam-6774	16	17	.	.	PUNCT
ejpam-6774	17	1	like	like	ADP
ejpam-6774	17	2	all	all	DET
ejpam-6774	17	3	other	other	ADJ
ejpam-6774	17	4	central	central	ADJ
ejpam-6774	17	5	banks	bank	NOUN
ejpam-6774	17	6	,	,	PUNCT
ejpam-6774	17	7	its	its	PRON
ejpam-6774	17	8	primary	primary	ADJ
ejpam-6774	17	9	function	function	NOUN
ejpam-6774	17	10	is	be	AUX
ejpam-6774	17	11	to	to	PART
ejpam-6774	17	12	oversee	oversee	VERB
ejpam-6774	17	13	both	both	CCONJ
ejpam-6774	17	14	domestic	domestic	ADJ
ejpam-6774	17	15	and	and	CCONJ
ejpam-6774	17	16	international	international	ADJ
ejpam-6774	17	17	institutions	institution	NOUN
ejpam-6774	17	18	.	.	PUNCT
ejpam-6774	18	1	additionally	additionally	ADV
ejpam-6774	18	2	,	,	PUNCT
ejpam-6774	18	3	its	its	PRON
ejpam-6774	18	4	responsibilities	responsibility	NOUN
ejpam-6774	18	5	include	include	VERB
ejpam-6774	18	6	creating	create	VERB
ejpam-6774	18	7	and	and	CCONJ
ejpam-6774	18	8	implementing	implement	VERB
ejpam-6774	18	9	egypt	egypt	PROPN
ejpam-6774	18	10	’s	’s	PART
ejpam-6774	18	11	financial	financial	ADJ
ejpam-6774	18	12	laws	law	NOUN
ejpam-6774	18	13	,	,	PUNCT
ejpam-6774	18	14	printing	printing	NOUN
ejpam-6774	18	15	banknotes	banknote	NOUN
ejpam-6774	18	16	,	,	PUNCT
ejpam-6774	18	17	overseeing	oversee	VERB
ejpam-6774	18	18	foreign	foreign	ADJ
ejpam-6774	18	19	exchange	exchange	NOUN
ejpam-6774	18	20	reserves	reserve	NOUN
ejpam-6774	18	21	,	,	PUNCT
ejpam-6774	18	22	regulating	regulate	VERB
ejpam-6774	18	23	the	the	DET
ejpam-6774	18	24	usage	usage	NOUN
ejpam-6774	18	25	of	of	ADP
ejpam-6774	18	26	the	the	DET
ejpam-6774	18	27	country	country	NOUN
ejpam-6774	18	28	’s	’s	PART
ejpam-6774	18	29	currency	currency	NOUN
ejpam-6774	18	30	,	,	PUNCT
ejpam-6774	18	31	and	and	CCONJ
ejpam-6774	18	32	overseeing	oversee	VERB
ejpam-6774	18	33	the	the	DET
ejpam-6774	18	34	management	management	NOUN
ejpam-6774	18	35	of	of	ADP
ejpam-6774	18	36	both	both	CCONJ
ejpam-6774	18	37	private	private	ADJ
ejpam-6774	18	38	and	and	CCONJ
ejpam-6774	18	39	public	public	ADJ
ejpam-6774	18	40	loans	loan	NOUN
ejpam-6774	18	41	.	.	PUNCT
ejpam-6774	19	1	since	since	SCONJ
ejpam-6774	19	2	there	there	PRON
ejpam-6774	19	3	is	be	VERB
ejpam-6774	19	4	no	no	DET
ejpam-6774	19	5	obvious	obvious	ADJ
ejpam-6774	19	6	distinction	distinction	NOUN
ejpam-6774	19	7	in	in	ADP
ejpam-6774	19	8	their	their	PRON
ejpam-6774	19	9	business	business	NOUN
ejpam-6774	19	10	sectors	sector	NOUN
ejpam-6774	19	11	,	,	PUNCT
ejpam-6774	19	12	which	which	PRON
ejpam-6774	19	13	will	will	AUX
ejpam-6774	19	14	be	be	AUX
ejpam-6774	19	15	our	our	PRON
ejpam-6774	19	16	emphasis	emphasis	NOUN
ejpam-6774	19	17	in	in	ADP
ejpam-6774	19	18	this	this	DET
ejpam-6774	19	19	study	study	NOUN
ejpam-6774	19	20	,	,	PUNCT
ejpam-6774	19	21	there	there	PRON
ejpam-6774	19	22	may	may	AUX
ejpam-6774	19	23	be	be	AUX
ejpam-6774	19	24	competition	competition	NOUN
ejpam-6774	19	25	amongst	amongst	ADP
ejpam-6774	19	26	the	the	DET
ejpam-6774	19	27	four	four	NUM
ejpam-6774	19	28	bank	bank	NOUN
ejpam-6774	19	29	groups	group	NOUN
ejpam-6774	19	30	previously	previously	ADV
ejpam-6774	19	31	described	describe	VERB
ejpam-6774	19	32	in	in	ADP
ejpam-6774	19	33	[	[	X
ejpam-6774	19	34	8	8	NUM
ejpam-6774	19	35	]	]	PUNCT
ejpam-6774	19	36	.	.	PUNCT
ejpam-6774	20	1	several	several	ADJ
ejpam-6774	20	2	scholars	scholar	NOUN
ejpam-6774	20	3	have	have	AUX
ejpam-6774	20	4	lately	lately	ADV
ejpam-6774	20	5	examined	examine	VERB
ejpam-6774	20	6	the	the	DET
ejpam-6774	20	7	fractional	fractional	ADJ
ejpam-6774	20	8	brusselator	brusselator	NOUN
ejpam-6774	20	9	system	system	NOUN
ejpam-6774	20	10	(	(	PUNCT
ejpam-6774	20	11	[	[	X
ejpam-6774	20	12	9	9	NUM
ejpam-6774	20	13	]	]	PUNCT
ejpam-6774	20	14	,	,	PUNCT
ejpam-6774	20	15	[	[	X
ejpam-6774	20	16	10	10	NUM
ejpam-6774	20	17	]	]	NUM
ejpam-6774	20	18	)	)	PUNCT
ejpam-6774	20	19	.	.	PUNCT
ejpam-6774	21	1	in	in	ADP
ejpam-6774	21	2	[	[	X
ejpam-6774	21	3	9	9	NUM
ejpam-6774	21	4	]	]	PUNCT
ejpam-6774	21	5	,	,	PUNCT
ejpam-6774	21	6	authors	author	NOUN
ejpam-6774	21	7	studied	study	VERB
ejpam-6774	21	8	the	the	DET
ejpam-6774	21	9	stability	stability	NOUN
ejpam-6774	21	10	of	of	ADP
ejpam-6774	21	11	this	this	DET
ejpam-6774	21	12	model	model	NOUN
ejpam-6774	21	13	,	,	PUNCT
ejpam-6774	21	14	where	where	SCONJ
ejpam-6774	21	15	in	in	ADP
ejpam-6774	21	16	[	[	X
ejpam-6774	21	17	10	10	NUM
ejpam-6774	21	18	]	]	PUNCT
ejpam-6774	21	19	,	,	PUNCT
ejpam-6774	21	20	the	the	DET
ejpam-6774	21	21	authors	author	NOUN
ejpam-6774	21	22	demonstrated	demonstrate	VERB
ejpam-6774	21	23	the	the	DET
ejpam-6774	21	24	existence	existence	NOUN
ejpam-6774	21	25	of	of	ADP
ejpam-6774	21	26	the	the	DET
ejpam-6774	21	27	system	system	NOUN
ejpam-6774	21	28	’s	’s	PART
ejpam-6774	21	29	solutions	solution	NOUN
ejpam-6774	21	30	numerically	numerically	ADV
ejpam-6774	21	31	.	.	PUNCT
ejpam-6774	22	1	since	since	SCONJ
ejpam-6774	22	2	most	most	ADJ
ejpam-6774	22	3	of	of	ADP
ejpam-6774	22	4	the	the	DET
ejpam-6774	22	5	fractional	fractional	ADJ
ejpam-6774	22	6	differential	differential	ADJ
ejpam-6774	22	7	equations	equation	NOUN
ejpam-6774	22	8	lack	lack	VERB
ejpam-6774	22	9	exact	exact	ADJ
ejpam-6774	22	10	solutions	solution	NOUN
ejpam-6774	22	11	,	,	PUNCT
ejpam-6774	22	12	one	one	PRON
ejpam-6774	22	13	must	must	AUX
ejpam-6774	22	14	resort	resort	VERB
ejpam-6774	22	15	to	to	PART
ejpam-6774	22	16	approximate	approximate	VERB
ejpam-6774	22	17	and	and	CCONJ
ejpam-6774	22	18	numerical	numerical	ADJ
ejpam-6774	22	19	methods	method	NOUN
ejpam-6774	22	20	(	(	PUNCT
ejpam-6774	22	21	[	[	X
ejpam-6774	22	22	11],[12	11],[12	NOUN
ejpam-6774	22	23	]	]	X
ejpam-6774	22	24	)	)	PUNCT
ejpam-6774	22	25	.	.	PUNCT
ejpam-6774	23	1	in	in	ADP
ejpam-6774	23	2	the	the	DET
ejpam-6774	23	3	case	case	NOUN
ejpam-6774	23	4	of	of	ADP
ejpam-6774	23	5	the	the	DET
ejpam-6774	23	6	egyptian	egyptian	ADJ
ejpam-6774	23	7	banks	bank	NOUN
ejpam-6774	23	8	model	model	NOUN
ejpam-6774	23	9	and	and	CCONJ
ejpam-6774	23	10	brusselator	brusselator	NOUN
ejpam-6774	23	11	system	system	NOUN
ejpam-6774	23	12	,	,	PUNCT
ejpam-6774	23	13	it	it	PRON
ejpam-6774	23	14	was	be	AUX
ejpam-6774	23	15	shown	show	VERB
ejpam-6774	23	16	that	that	SCONJ
ejpam-6774	23	17	by	by	ADP
ejpam-6774	23	18	offering	offer	VERB
ejpam-6774	23	19	a	a	DET
ejpam-6774	23	20	great	great	ADJ
ejpam-6774	23	21	deal	deal	NOUN
ejpam-6774	23	22	more	more	ADJ
ejpam-6774	23	23	alternatives	alternative	NOUN
ejpam-6774	23	24	for	for	ADP
ejpam-6774	23	25	the	the	DET
ejpam-6774	23	26	optimal	optimal	ADJ
ejpam-6774	23	27	data	datum	NOUN
ejpam-6774	23	28	fitting	fitting	ADJ
ejpam-6774	23	29	setting	setting	NOUN
ejpam-6774	23	30	[	[	X
ejpam-6774	23	31	13	13	NUM
ejpam-6774	23	32	]	]	PUNCT
ejpam-6774	23	33	.	.	PUNCT
ejpam-6774	24	1	a	a	DET
ejpam-6774	24	2	lot	lot	NOUN
ejpam-6774	24	3	of	of	ADP
ejpam-6774	24	4	researchers	researcher	NOUN
ejpam-6774	24	5	have	have	AUX
ejpam-6774	24	6	been	be	AUX
ejpam-6774	24	7	interested	interested	ADJ
ejpam-6774	24	8	in	in	ADP
ejpam-6774	24	9	the	the	DET
ejpam-6774	24	10	ff	ff	NOUN
ejpam-6774	24	11	-	-	PUNCT
ejpam-6774	24	12	derivatives	derivative	NOUN
ejpam-6774	24	13	because	because	SCONJ
ejpam-6774	24	14	it	it	PRON
ejpam-6774	24	15	lets	let	VERB
ejpam-6774	24	16	them	they	PRON
ejpam-6774	24	17	look	look	VERB
ejpam-6774	24	18	at	at	ADP
ejpam-6774	24	19	the	the	DET
ejpam-6774	24	20	fractal	fractal	ADJ
ejpam-6774	24	21	dimension	dimension	NOUN
ejpam-6774	24	22	while	while	SCONJ
ejpam-6774	24	23	still	still	ADV
ejpam-6774	24	24	analyzing	analyze	VERB
ejpam-6774	24	25	the	the	DET
ejpam-6774	24	26	phenomenon	phenomenon	NOUN
ejpam-6774	24	27	in	in	ADP
ejpam-6774	24	28	fractional	fractional	ADJ
ejpam-6774	24	29	items	item	NOUN
ejpam-6774	24	30	.	.	PUNCT
ejpam-6774	25	1	this	this	DET
ejpam-6774	25	2	category	category	NOUN
ejpam-6774	25	3	of	of	ADP
ejpam-6774	25	4	ff	ff	NOUN
ejpam-6774	25	5	derivatives	derivative	NOUN
ejpam-6774	25	6	has	have	AUX
ejpam-6774	25	7	been	be	AUX
ejpam-6774	25	8	employed	employ	VERB
ejpam-6774	25	9	in	in	ADP
ejpam-6774	25	10	various	various	ADJ
ejpam-6774	25	11	significant	significant	ADJ
ejpam-6774	25	12	investigations	investigation	NOUN
ejpam-6774	25	13	,	,	PUNCT
ejpam-6774	25	14	publications	publication	NOUN
ejpam-6774	25	15	,	,	PUNCT
ejpam-6774	25	16	and	and	CCONJ
ejpam-6774	25	17	scientific	scientific	ADJ
ejpam-6774	25	18	reports	report	NOUN
ejpam-6774	25	19	;	;	PUNCT
ejpam-6774	25	20	these	these	PRON
ejpam-6774	25	21	can	can	AUX
ejpam-6774	25	22	be	be	AUX
ejpam-6774	25	23	found	find	VERB
ejpam-6774	25	24	there	there	ADV
ejpam-6774	25	25	and	and	CCONJ
ejpam-6774	25	26	in	in	ADP
ejpam-6774	25	27	the	the	DET
ejpam-6774	25	28	references	reference	NOUN
ejpam-6774	25	29	therein	therein	ADV
ejpam-6774	25	30	(	(	PUNCT
ejpam-6774	25	31	[	[	X
ejpam-6774	25	32	14],[15	14],[15	NUM
ejpam-6774	25	33	]	]	X
ejpam-6774	25	34	)	)	PUNCT
ejpam-6774	25	35	.	.	PUNCT
ejpam-6774	26	1	also	also	ADV
ejpam-6774	26	2	,	,	PUNCT
ejpam-6774	26	3	the	the	DET
ejpam-6774	26	4	the	the	DET
ejpam-6774	26	5	operational	operational	ADJ
ejpam-6774	26	6	research	research	NOUN
ejpam-6774	26	7	(	(	PUNCT
ejpam-6774	26	8	[	[	X
ejpam-6774	26	9	16],[17	16],[17	PROPN
ejpam-6774	26	10	]	]	X
ejpam-6774	26	11	)	)	PUNCT
ejpam-6774	26	12	is	be	AUX
ejpam-6774	26	13	a	a	DET
ejpam-6774	26	14	very	very	ADV
ejpam-6774	26	15	important	important	ADJ
ejpam-6774	26	16	tool	tool	NOUN
ejpam-6774	26	17	to	to	PART
ejpam-6774	26	18	make	make	VERB
ejpam-6774	26	19	the	the	DET
ejpam-6774	26	20	best	good	ADJ
ejpam-6774	26	21	decision	decision	NOUN
ejpam-6774	26	22	.	.	PUNCT
ejpam-6774	27	1	the	the	DET
ejpam-6774	27	2	outline	outline	NOUN
ejpam-6774	27	3	of	of	ADP
ejpam-6774	27	4	the	the	DET
ejpam-6774	27	5	paper	paper	NOUN
ejpam-6774	27	6	is	be	AUX
ejpam-6774	27	7	as	as	SCONJ
ejpam-6774	27	8	follows	follow	VERB
ejpam-6774	27	9	:	:	PUNCT
ejpam-6774	27	10	section	section	NOUN
ejpam-6774	27	11	2	2	NUM
ejpam-6774	27	12	presents	present	VERB
ejpam-6774	27	13	some	some	DET
ejpam-6774	27	14	preliminaries	preliminary	NOUN
ejpam-6774	27	15	concerning	concern	VERB
ejpam-6774	27	16	the	the	DET
ejpam-6774	27	17	fractional	fractional	ADJ
ejpam-6774	27	18	calculus	calculus	NOUN
ejpam-6774	27	19	.	.	PUNCT
ejpam-6774	28	1	section	section	NOUN
ejpam-6774	28	2	3	3	NUM
ejpam-6774	28	3	gives	give	VERB
ejpam-6774	28	4	the	the	DET
ejpam-6774	28	5	description	description	NOUN
ejpam-6774	28	6	of	of	ADP
ejpam-6774	28	7	the	the	DET
ejpam-6774	28	8	two	two	NUM
ejpam-6774	28	9	fractal	fractal	ADJ
ejpam-6774	28	10	-	-	PUNCT
ejpam-6774	28	11	fractional	fractional	ADJ
ejpam-6774	28	12	models	model	NOUN
ejpam-6774	28	13	:	:	PUNCT
ejpam-6774	28	14	the	the	DET
ejpam-6774	28	15	banks	bank	NOUN
ejpam-6774	28	16	’	’	PART
ejpam-6774	28	17	competition	competition	NOUN
ejpam-6774	28	18	model	model	NOUN
ejpam-6774	28	19	and	and	CCONJ
ejpam-6774	28	20	the	the	DET
ejpam-6774	28	21	brusselator	brusselator	NOUN
ejpam-6774	28	22	system	system	NOUN
ejpam-6774	28	23	.	.	PUNCT
ejpam-6774	29	1	section	section	NOUN
ejpam-6774	29	2	4	4	NUM
ejpam-6774	29	3	investigates	investigate	VERB
ejpam-6774	29	4	the	the	DET
ejpam-6774	29	5	numerical	numerical	ADJ
ejpam-6774	29	6	implementation	implementation	NOUN
ejpam-6774	29	7	of	of	ADP
ejpam-6774	29	8	the	the	DET
ejpam-6774	29	9	proposed	propose	VERB
ejpam-6774	29	10	method	method	NOUN
ejpam-6774	29	11	for	for	ADP
ejpam-6774	29	12	solving	solve	VERB
ejpam-6774	29	13	the	the	DET
ejpam-6774	29	14	models	model	NOUN
ejpam-6774	29	15	under	under	ADP
ejpam-6774	29	16	study	study	NOUN
ejpam-6774	29	17	.	.	PUNCT
ejpam-6774	30	1	section	section	NOUN
ejpam-6774	30	2	5	5	NUM
ejpam-6774	30	3	outlines	outline	VERB
ejpam-6774	30	4	the	the	DET
ejpam-6774	30	5	numerical	numerical	ADJ
ejpam-6774	30	6	simulation	simulation	NOUN
ejpam-6774	30	7	for	for	ADP
ejpam-6774	30	8	these	these	DET
ejpam-6774	30	9	models	model	NOUN
ejpam-6774	30	10	.	.	PUNCT
ejpam-6774	31	1	finally	finally	ADV
ejpam-6774	31	2	,	,	PUNCT
ejpam-6774	31	3	section	section	NOUN
ejpam-6774	31	4	6	6	NUM
ejpam-6774	31	5	ends	end	VERB
ejpam-6774	31	6	the	the	DET
ejpam-6774	31	7	paper	paper	NOUN
ejpam-6774	31	8	with	with	ADP
ejpam-6774	31	9	conclusions	conclusion	NOUN
ejpam-6774	31	10	and	and	CCONJ
ejpam-6774	31	11	future	future	ADJ
ejpam-6774	31	12	work	work	NOUN
ejpam-6774	31	13	.	.	PUNCT
ejpam-6774	32	1	m.	m.	NOUN
ejpam-6774	32	2	adel	adel	PROPN
ejpam-6774	32	3	et	et	PROPN
ejpam-6774	32	4	al	al	PROPN
ejpam-6774	32	5	.	.	PUNCT
ejpam-6774	32	6	/	/	SYM
ejpam-6774	32	7	eur	eur	PROPN
ejpam-6774	32	8	.	.	PUNCT
ejpam-6774	33	1	j.	j.	PROPN
ejpam-6774	33	2	pure	pure	PROPN
ejpam-6774	33	3	appl	appl	PROPN
ejpam-6774	33	4	.	.	PROPN
ejpam-6774	33	5	math	math	PROPN
ejpam-6774	33	6	,	,	PUNCT
ejpam-6774	33	7	18	18	NUM
ejpam-6774	33	8	(	(	PUNCT
ejpam-6774	33	9	4	4	NUM
ejpam-6774	33	10	)	)	PUNCT
ejpam-6774	33	11	(	(	PUNCT
ejpam-6774	33	12	2025	2025	NUM
ejpam-6774	33	13	)	)	PUNCT
ejpam-6774	33	14	,	,	PUNCT
ejpam-6774	33	15	6774	6774	NUM
ejpam-6774	33	16	3	3	NUM
ejpam-6774	33	17	of	of	ADP
ejpam-6774	33	18	16	16	NUM
ejpam-6774	33	19	2	2	NUM
ejpam-6774	33	20	.	.	PUNCT
ejpam-6774	34	1	preliminaries	preliminary	NOUN
ejpam-6774	34	2	fractional	fractional	ADJ
ejpam-6774	34	3	models	model	NOUN
ejpam-6774	34	4	define	define	VERB
ejpam-6774	34	5	the	the	DET
ejpam-6774	34	6	fractional	fractional	ADJ
ejpam-6774	34	7	derivative	derivative	ADJ
ejpam-6774	34	8	using	use	VERB
ejpam-6774	34	9	power	power	NOUN
ejpam-6774	34	10	law	law	NOUN
ejpam-6774	34	11	memory	memory	NOUN
ejpam-6774	34	12	kernels	kernel	NOUN
ejpam-6774	34	13	(	(	PUNCT
ejpam-6774	34	14	plmks	plmks	NOUN
ejpam-6774	34	15	)	)	PUNCT
ejpam-6774	34	16	.	.	PUNCT
ejpam-6774	35	1	this	this	PRON
ejpam-6774	35	2	makes	make	VERB
ejpam-6774	35	3	it	it	PRON
ejpam-6774	35	4	easier	easy	ADJ
ejpam-6774	35	5	for	for	SCONJ
ejpam-6774	35	6	the	the	DET
ejpam-6774	35	7	system	system	NOUN
ejpam-6774	35	8	to	to	PART
ejpam-6774	35	9	describe	describe	VERB
ejpam-6774	35	10	memory	memory	NOUN
ejpam-6774	35	11	and	and	CCONJ
ejpam-6774	35	12	global	global	ADJ
ejpam-6774	35	13	correlation	correlation	NOUN
ejpam-6774	35	14	.	.	PUNCT
ejpam-6774	36	1	this	this	PRON
ejpam-6774	36	2	is	be	AUX
ejpam-6774	36	3	the	the	DET
ejpam-6774	36	4	paramount	paramount	ADJ
ejpam-6774	36	5	definition	definition	NOUN
ejpam-6774	36	6	employed	employ	VERB
ejpam-6774	36	7	in	in	ADP
ejpam-6774	36	8	the	the	DET
ejpam-6774	36	9	formulation	formulation	NOUN
ejpam-6774	36	10	of	of	ADP
ejpam-6774	36	11	fractional	fractional	ADJ
ejpam-6774	36	12	calculus	calculus	NOUN
ejpam-6774	36	13	theory	theory	NOUN
ejpam-6774	36	14	(	(	PUNCT
ejpam-6774	36	15	[	[	X
ejpam-6774	36	16	18]-[19	18]-[19	PROPN
ejpam-6774	36	17	]	]	PUNCT
ejpam-6774	36	18	)	)	PUNCT
ejpam-6774	36	19	.	.	PUNCT
ejpam-6774	37	1	thus	thus	ADV
ejpam-6774	37	2	,	,	PUNCT
ejpam-6774	37	3	we	we	PRON
ejpam-6774	37	4	will	will	AUX
ejpam-6774	37	5	quickly	quickly	ADV
ejpam-6774	37	6	go	go	VERB
ejpam-6774	37	7	over	over	ADP
ejpam-6774	37	8	some	some	DET
ejpam-6774	37	9	fundamental	fundamental	ADJ
ejpam-6774	37	10	definitions	definition	NOUN
ejpam-6774	37	11	of	of	ADP
ejpam-6774	37	12	fractional	fractional	ADJ
ejpam-6774	37	13	calculus	calculus	NOUN
ejpam-6774	37	14	with	with	ADP
ejpam-6774	37	15	the	the	DET
ejpam-6774	37	16	plmks	plmks	NOUN
ejpam-6774	37	17	and	and	CCONJ
ejpam-6774	37	18	fractal	fractal	ADJ
ejpam-6774	37	19	notions	notion	NOUN
ejpam-6774	37	20	in	in	ADP
ejpam-6774	37	21	this	this	DET
ejpam-6774	37	22	brief	brief	ADJ
ejpam-6774	37	23	part	part	NOUN
ejpam-6774	37	24	.	.	PUNCT
ejpam-6774	38	1	definition	definition	NOUN
ejpam-6774	38	2	1	1	NUM
ejpam-6774	38	3	.	.	PUNCT
ejpam-6774	39	1	[	[	X
ejpam-6774	39	2	20	20	NUM
ejpam-6774	39	3	]	]	PUNCT
ejpam-6774	39	4	let	let	VERB
ejpam-6774	39	5	ω(t	ω(t	NOUN
ejpam-6774	39	6	)	)	PUNCT
ejpam-6774	39	7	belong	belong	VERB
ejpam-6774	39	8	to	to	ADP
ejpam-6774	39	9	c(0	c(0	PROPN
ejpam-6774	39	10	,	,	PUNCT
ejpam-6774	39	11	b	b	NOUN
ejpam-6774	39	12	)	)	PUNCT
ejpam-6774	39	13	and	and	CCONJ
ejpam-6774	39	14	be	be	AUX
ejpam-6774	39	15	fractal	fractal	ADV
ejpam-6774	39	16	differentiable	differentiable	ADJ
ejpam-6774	39	17	on	on	ADP
ejpam-6774	39	18	(	(	PUNCT
ejpam-6774	39	19	0	0	NUM
ejpam-6774	39	20	,	,	PUNCT
ejpam-6774	39	21	b	b	NOUN
ejpam-6774	39	22	)	)	PUNCT
ejpam-6774	39	23	with	with	ADP
ejpam-6774	39	24	order	order	NOUN
ejpam-6774	39	25	%	%	NOUN
ejpam-6774	39	26	.	.	PUNCT
ejpam-6774	40	1	the	the	DET
ejpam-6774	40	2	fractal	fractal	ADJ
ejpam-6774	40	3	-	-	PUNCT
ejpam-6774	40	4	fractional	fractional	ADJ
ejpam-6774	40	5	derivative	derivative	NOUN
ejpam-6774	40	6	of	of	ADP
ejpam-6774	40	7	order	order	NOUN
ejpam-6774	40	8	ξ	ξ	NOUN
ejpam-6774	40	9	,	,	PUNCT
ejpam-6774	40	10	with	with	ADP
ejpam-6774	40	11	riemann	riemann	PROPN
ejpam-6774	40	12	-	-	PUNCT
ejpam-6774	40	13	liouville	liouville	NOUN
ejpam-6774	40	14	’s	’s	NOUN
ejpam-6774	40	15	derivative	derivative	NOUN
ejpam-6774	40	16	including	include	VERB
ejpam-6774	40	17	the	the	DET
ejpam-6774	40	18	plmk	plmk	NOUN
ejpam-6774	40	19	,	,	PUNCT
ejpam-6774	40	20	is	be	AUX
ejpam-6774	40	21	given	give	VERB
ejpam-6774	40	22	as	as	SCONJ
ejpam-6774	40	23	follows	follow	VERB
ejpam-6774	40	24	:	:	PUNCT
ejpam-6774	40	25	ffpdξ,%ω(t	ffpdξ,%ω(t	NUM
ejpam-6774	40	26	)	)	PUNCT
ejpam-6774	40	27	=	=	SYM
ejpam-6774	40	28	1	1	NUM
ejpam-6774	40	29	γ(n−	γ(n−	PROPN
ejpam-6774	40	30	ξ	ξ	PROPN
ejpam-6774	40	31	)	)	PUNCT
ejpam-6774	40	32	d	d	PROPN
ejpam-6774	40	33	dt%	dt%	PROPN
ejpam-6774	40	34	∫	∫	PROPN
ejpam-6774	40	35	t	t	PROPN
ejpam-6774	40	36	0	0	NUM
ejpam-6774	40	37	(	(	PUNCT
ejpam-6774	40	38	t−	t−	PROPN
ejpam-6774	40	39	y)n−ξ−1ω(y	y)n−ξ−1ω(y	NOUN
ejpam-6774	40	40	)	)	PUNCT
ejpam-6774	40	41	dy	dy	NOUN
ejpam-6774	40	42	,	,	PUNCT
ejpam-6774	40	43	where	where	SCONJ
ejpam-6774	40	44	n−	n−	NOUN
ejpam-6774	40	45	1	1	NUM
ejpam-6774	40	46	<	<	X
ejpam-6774	40	47	ξ	ξ	PROPN
ejpam-6774	40	48	,	,	PUNCT
ejpam-6774	40	49	%	%	ADJ
ejpam-6774	40	50	≤	≤	NUM
ejpam-6774	40	51	n	n	CCONJ
ejpam-6774	40	52	,	,	PUNCT
ejpam-6774	40	53	n	n	PROPN
ejpam-6774	40	54	∈	∈	PROPN
ejpam-6774	40	55	n	n	CCONJ
ejpam-6774	40	56	,	,	PUNCT
ejpam-6774	40	57	and	and	CCONJ
ejpam-6774	40	58	dω(y	dω(y	NOUN
ejpam-6774	40	59	)	)	PUNCT
ejpam-6774	40	60	d	d	NOUN
ejpam-6774	40	61	y%	y%	NOUN
ejpam-6774	40	62	=	=	PUNCT
ejpam-6774	40	63	limt→y	limt→y	NOUN
ejpam-6774	40	64	ω(t)−ω(y	ω(t)−ω(y	PRON
ejpam-6774	40	65	)	)	PUNCT
ejpam-6774	40	66	t%−y%	t%−y%	NUM
ejpam-6774	40	67	.	.	PUNCT
ejpam-6774	41	1	definition	definition	NOUN
ejpam-6774	41	2	2	2	NUM
ejpam-6774	41	3	.	.	PUNCT
ejpam-6774	42	1	[	[	X
ejpam-6774	42	2	20	20	NUM
ejpam-6774	42	3	]	]	PUNCT
ejpam-6774	42	4	let	let	VERB
ejpam-6774	42	5	υ(t	υ(t	NOUN
ejpam-6774	42	6	)	)	PUNCT
ejpam-6774	42	7	belongs	belong	VERB
ejpam-6774	42	8	to	to	ADP
ejpam-6774	42	9	c(0	c(0	PROPN
ejpam-6774	42	10	,	,	PUNCT
ejpam-6774	42	11	b	b	NOUN
ejpam-6774	42	12	)	)	PUNCT
ejpam-6774	42	13	and	and	CCONJ
ejpam-6774	42	14	fractal	fractal	ADJ
ejpam-6774	42	15	differentiable	differentiable	NOUN
ejpam-6774	42	16	on	on	ADP
ejpam-6774	42	17	(	(	PUNCT
ejpam-6774	42	18	0	0	NUM
ejpam-6774	42	19	,	,	PUNCT
ejpam-6774	42	20	b	b	NOUN
ejpam-6774	42	21	)	)	PUNCT
ejpam-6774	42	22	with	with	ADP
ejpam-6774	42	23	order	order	NOUN
ejpam-6774	42	24	%	%	NOUN
ejpam-6774	42	25	.	.	PUNCT
ejpam-6774	43	1	the	the	DET
ejpam-6774	43	2	fractalfractional	fractalfractional	ADJ
ejpam-6774	43	3	integral	integral	NOUN
ejpam-6774	43	4	of	of	ADP
ejpam-6774	43	5	order	order	NOUN
ejpam-6774	43	6	ξ	ξ	NOUN
ejpam-6774	43	7	,	,	PUNCT
ejpam-6774	43	8	with	with	ADP
ejpam-6774	43	9	including	include	VERB
ejpam-6774	43	10	the	the	DET
ejpam-6774	43	11	plmk	plmk	NOUN
ejpam-6774	43	12	is	be	AUX
ejpam-6774	43	13	given	give	VERB
ejpam-6774	43	14	as	as	SCONJ
ejpam-6774	43	15	follows	follow	VERB
ejpam-6774	43	16	:	:	PUNCT
ejpam-6774	43	17	ffp	ffp	PROPN
ejpam-6774	43	18	iξ,%υ(t	iξ,%υ(t	PROPN
ejpam-6774	43	19	)	)	PUNCT
ejpam-6774	43	20	=	=	SYM
ejpam-6774	43	21	%	%	NOUN
ejpam-6774	43	22	γ(ξ	γ(ξ	PROPN
ejpam-6774	43	23	)	)	PUNCT
ejpam-6774	44	1	∫	∫	PROPN
ejpam-6774	44	2	t	t	PROPN
ejpam-6774	44	3	0	0	NUM
ejpam-6774	44	4	(	(	PUNCT
ejpam-6774	44	5	t−	t−	PROPN
ejpam-6774	44	6	y)ξ−1	y)ξ−1	PROPN
ejpam-6774	44	7	y%−1υ(y	y%−1υ(y	NOUN
ejpam-6774	44	8	)	)	PUNCT
ejpam-6774	45	1	dy	dy	X
ejpam-6774	45	2	.	.	NOUN
ejpam-6774	46	1	3	3	X
ejpam-6774	46	2	.	.	X
ejpam-6774	46	3	description	description	NOUN
ejpam-6774	46	4	of	of	ADP
ejpam-6774	46	5	the	the	DET
ejpam-6774	46	6	fractal	fractal	ADJ
ejpam-6774	46	7	-	-	PUNCT
ejpam-6774	46	8	fractional	fractional	ADJ
ejpam-6774	46	9	models	model	NOUN
ejpam-6774	46	10	here	here	ADV
ejpam-6774	46	11	,	,	PUNCT
ejpam-6774	46	12	we	we	PRON
ejpam-6774	46	13	will	will	AUX
ejpam-6774	46	14	try	try	VERB
ejpam-6774	46	15	to	to	PART
ejpam-6774	46	16	describe	describe	VERB
ejpam-6774	46	17	and	and	CCONJ
ejpam-6774	46	18	introduce	introduce	VERB
ejpam-6774	46	19	the	the	DET
ejpam-6774	46	20	fractal	fractal	ADJ
ejpam-6774	46	21	-	-	PUNCT
ejpam-6774	46	22	fractional	fractional	ADJ
ejpam-6774	46	23	form	form	NOUN
ejpam-6774	46	24	of	of	ADP
ejpam-6774	46	25	the	the	DET
ejpam-6774	46	26	studied	study	VERB
ejpam-6774	46	27	models	model	NOUN
ejpam-6774	46	28	:	:	PUNCT
ejpam-6774	46	29	the	the	DET
ejpam-6774	46	30	ff	ff	PROPN
ejpam-6774	46	31	banks	bank	NOUN
ejpam-6774	46	32	’	’	PART
ejpam-6774	46	33	competition	competition	NOUN
ejpam-6774	46	34	model	model	NOUN
ejpam-6774	46	35	and	and	CCONJ
ejpam-6774	46	36	the	the	DET
ejpam-6774	46	37	ff	ff	PROPN
ejpam-6774	46	38	brusselator	brusselator	NOUN
ejpam-6774	46	39	system	system	NOUN
ejpam-6774	46	40	.	.	PUNCT
ejpam-6774	47	1	3.1	3.1	NUM
ejpam-6774	47	2	.	.	PUNCT
ejpam-6774	47	3	fractal	fractal	ADJ
ejpam-6774	47	4	-	-	PUNCT
ejpam-6774	47	5	fractional	fractional	ADJ
ejpam-6774	47	6	banks	bank	NOUN
ejpam-6774	47	7	’	'	PUNCT
ejpam-6774	47	8	competition	competition	NOUN
ejpam-6774	47	9	model	model	NOUN
ejpam-6774	47	10	we	we	PRON
ejpam-6774	47	11	suppose	suppose	VERB
ejpam-6774	47	12	that	that	SCONJ
ejpam-6774	47	13	,	,	PUNCT
ejpam-6774	47	14	at	at	ADP
ejpam-6774	47	15	any	any	DET
ejpam-6774	47	16	given	give	VERB
ejpam-6774	47	17	period	period	NOUN
ejpam-6774	47	18	t	t	PROPN
ejpam-6774	47	19	,	,	PUNCT
ejpam-6774	47	20	the	the	DET
ejpam-6774	47	21	profits	profit	NOUN
ejpam-6774	47	22	gained	gain	VERB
ejpam-6774	47	23	by	by	ADP
ejpam-6774	47	24	each	each	PRON
ejpam-6774	47	25	of	of	ADP
ejpam-6774	47	26	the	the	DET
ejpam-6774	47	27	four	four	NUM
ejpam-6774	47	28	classes	class	NOUN
ejpam-6774	47	29	that	that	PRON
ejpam-6774	47	30	make	make	VERB
ejpam-6774	47	31	up	up	ADP
ejpam-6774	47	32	egypt	egypt	PROPN
ejpam-6774	47	33	’s	’s	PART
ejpam-6774	47	34	banking	banking	NOUN
ejpam-6774	47	35	system	system	NOUN
ejpam-6774	47	36	�	�	NOUN
ejpam-6774	47	37	public	public	ADJ
ejpam-6774	47	38	,	,	PUNCT
ejpam-6774	47	39	private	private	ADJ
ejpam-6774	47	40	,	,	PUNCT
ejpam-6774	47	41	arab	arab	ADJ
ejpam-6774	47	42	,	,	PUNCT
ejpam-6774	47	43	foreign	foreign	ADJ
ejpam-6774	47	44	,	,	PUNCT
ejpam-6774	47	45	and	and	CCONJ
ejpam-6774	47	46	investment	investment	NOUN
ejpam-6774	47	47	collaboration	collaboration	NOUN
ejpam-6774	47	48	banks	bank	NOUN
ejpam-6774	47	49	are	be	AUX
ejpam-6774	47	50	p	p	X
ejpam-6774	47	51	(	(	PUNCT
ejpam-6774	47	52	t	t	PROPN
ejpam-6774	47	53	)	)	PUNCT
ejpam-6774	47	54	,	,	PUNCT
ejpam-6774	47	55	a(t	a(t	PROPN
ejpam-6774	47	56	)	)	PUNCT
ejpam-6774	47	57	,	,	PUNCT
ejpam-6774	47	58	f	f	PROPN
ejpam-6774	47	59	(	(	PUNCT
ejpam-6774	47	60	t	t	PROPN
ejpam-6774	47	61	)	)	PUNCT
ejpam-6774	47	62	,	,	PUNCT
ejpam-6774	47	63	and	and	CCONJ
ejpam-6774	47	64	i(t	i(t	NOUN
ejpam-6774	47	65	)	)	PUNCT
ejpam-6774	47	66	.	.	PUNCT
ejpam-6774	48	1	here	here	ADV
ejpam-6774	48	2	,	,	PUNCT
ejpam-6774	48	3	we	we	PRON
ejpam-6774	48	4	will	will	AUX
ejpam-6774	48	5	use	use	VERB
ejpam-6774	48	6	the	the	DET
ejpam-6774	48	7	symbols	symbol	NOUN
ejpam-6774	48	8	[	[	X
ejpam-6774	48	9	p	p	X
ejpam-6774	48	10	(	(	PUNCT
ejpam-6774	48	11	t	t	PROPN
ejpam-6774	48	12	)	)	PUNCT
ejpam-6774	48	13	,	,	PUNCT
ejpam-6774	48	14	a(t	a(t	PROPN
ejpam-6774	48	15	)	)	PUNCT
ejpam-6774	48	16	,	,	PUNCT
ejpam-6774	48	17	f	f	PROPN
ejpam-6774	48	18	(	(	PUNCT
ejpam-6774	48	19	t	t	PROPN
ejpam-6774	48	20	)	)	PUNCT
ejpam-6774	48	21	,	,	PUNCT
ejpam-6774	48	22	i(t	i(t	PROPN
ejpam-6774	48	23	)	)	PUNCT
ejpam-6774	48	24	]	]	PUNCT
ejpam-6774	49	1	=	=	PUNCT
ejpam-6774	50	1	[	[	X
ejpam-6774	50	2	υs(t	υs(t	NOUN
ejpam-6774	50	3	)	)	PUNCT
ejpam-6774	50	4	,	,	PUNCT
ejpam-6774	50	5	s	s	NOUN
ejpam-6774	50	6	=	=	SYM
ejpam-6774	50	7	1	1	NUM
ejpam-6774	50	8	,	,	PUNCT
ejpam-6774	50	9	2	2	NUM
ejpam-6774	50	10	,	,	PUNCT
ejpam-6774	50	11	3	3	NUM
ejpam-6774	50	12	,	,	PUNCT
ejpam-6774	50	13	4	4	NUM
ejpam-6774	50	14	]	]	PUNCT
ejpam-6774	50	15	.	.	PUNCT
ejpam-6774	51	1	as	as	ADP
ejpam-6774	51	2	a	a	DET
ejpam-6774	51	3	result	result	NOUN
ejpam-6774	51	4	,	,	PUNCT
ejpam-6774	51	5	the	the	DET
ejpam-6774	51	6	suggested	suggest	VERB
ejpam-6774	51	7	competition	competition	NOUN
ejpam-6774	51	8	model	model	NOUN
ejpam-6774	51	9	between	between	ADP
ejpam-6774	51	10	them	they	PRON
ejpam-6774	51	11	is	be	AUX
ejpam-6774	51	12	given	give	VERB
ejpam-6774	51	13	as	as	SCONJ
ejpam-6774	51	14	follows	follow	VERB
ejpam-6774	51	15	:	:	PUNCT
ejpam-6774	51	16	dυs(t	dυs(t	ADJ
ejpam-6774	51	17	)	)	PUNCT
ejpam-6774	51	18	dt	dt	NOUN
ejpam-6774	52	1	=	=	SYM
ejpam-6774	52	2	αsυs(t	αsυs(t	NOUN
ejpam-6774	52	3	)	)	PUNCT
ejpam-6774	52	4	(	(	PUNCT
ejpam-6774	52	5	1−	1−	NUM
ejpam-6774	52	6	υs(t	υs(t	NOUN
ejpam-6774	52	7	)	)	PUNCT
ejpam-6774	52	8	βs	βs	PUNCT
ejpam-6774	52	9	)	)	PUNCT
ejpam-6774	53	1	−	−	ADP
ejpam-6774	53	2	δs	δs	VERB
ejpam-6774	53	3	n̄[υ1	n̄[υ1	ADJ
ejpam-6774	53	4	,	,	PUNCT
ejpam-6774	53	5	υ2	υ2	NOUN
ejpam-6774	53	6	,	,	PUNCT
ejpam-6774	53	7	υ3	υ3	NOUN
ejpam-6774	53	8	,	,	PUNCT
ejpam-6774	53	9	υ4	υ4	PROPN
ejpam-6774	53	10	]	]	PUNCT
ejpam-6774	53	11	,	,	PUNCT
ejpam-6774	53	12	υs(0	υs(0	NOUN
ejpam-6774	53	13	)	)	PUNCT
ejpam-6774	53	14	=	=	SYM
ejpam-6774	53	15	ˆ̄υs	ˆ̄υs	PROPN
ejpam-6774	53	16	,	,	PUNCT
ejpam-6774	53	17	s	s	PART
ejpam-6774	53	18	=	=	SYM
ejpam-6774	53	19	1	1	NUM
ejpam-6774	53	20	,	,	PUNCT
ejpam-6774	53	21	2	2	NUM
ejpam-6774	53	22	,	,	PUNCT
ejpam-6774	53	23	3	3	NUM
ejpam-6774	53	24	,	,	PUNCT
ejpam-6774	53	25	4	4	NUM
ejpam-6774	53	26	.	.	PUNCT
ejpam-6774	53	27	(	(	PUNCT
ejpam-6774	53	28	1	1	X
ejpam-6774	53	29	)	)	PUNCT
ejpam-6774	53	30	the	the	DET
ejpam-6774	53	31	nonlinear	nonlinear	ADJ
ejpam-6774	53	32	term	term	NOUN
ejpam-6774	53	33	n̄[υ1	n̄[υ1	PROPN
ejpam-6774	53	34	,	,	PUNCT
ejpam-6774	53	35	υ2	υ2	NOUN
ejpam-6774	53	36	,	,	PUNCT
ejpam-6774	53	37	υ3	υ3	NOUN
ejpam-6774	53	38	,	,	PUNCT
ejpam-6774	53	39	υ4	υ4	PROPN
ejpam-6774	53	40	]	]	PUNCT
ejpam-6774	53	41	=	=	SYM
ejpam-6774	53	42	υ1(t)υ2(t)υ3(t)υ4(t	υ1(t)υ2(t)υ3(t)υ4(t	PROPN
ejpam-6774	53	43	)	)	PUNCT
ejpam-6774	53	44	in	in	ADP
ejpam-6774	53	45	the	the	DET
ejpam-6774	53	46	system	system	NOUN
ejpam-6774	53	47	(	(	PUNCT
ejpam-6774	53	48	1	1	X
ejpam-6774	53	49	)	)	PUNCT
ejpam-6774	53	50	is	be	AUX
ejpam-6774	53	51	the	the	DET
ejpam-6774	53	52	area	area	NOUN
ejpam-6774	53	53	of	of	ADP
ejpam-6774	53	54	the	the	DET
ejpam-6774	53	55	market	market	NOUN
ejpam-6774	53	56	where	where	SCONJ
ejpam-6774	53	57	the	the	DET
ejpam-6774	53	58	four	four	NUM
ejpam-6774	53	59	banks	bank	NOUN
ejpam-6774	53	60	engage	engage	VERB
ejpam-6774	53	61	with	with	ADP
ejpam-6774	53	62	one	one	NUM
ejpam-6774	53	63	another	another	DET
ejpam-6774	53	64	[	[	X
ejpam-6774	53	65	21	21	NUM
ejpam-6774	53	66	]	]	PUNCT
ejpam-6774	53	67	.	.	PUNCT
ejpam-6774	54	1	where	where	SCONJ
ejpam-6774	54	2	m.	m.	NOUN
ejpam-6774	54	3	adel	adel	PROPN
ejpam-6774	54	4	et	et	PROPN
ejpam-6774	54	5	al	al	PROPN
ejpam-6774	54	6	.	.	PUNCT
ejpam-6774	54	7	/	/	SYM
ejpam-6774	54	8	eur	eur	PROPN
ejpam-6774	54	9	.	.	PUNCT
ejpam-6774	55	1	j.	j.	PROPN
ejpam-6774	55	2	pure	pure	PROPN
ejpam-6774	55	3	appl	appl	PROPN
ejpam-6774	55	4	.	.	PROPN
ejpam-6774	55	5	math	math	PROPN
ejpam-6774	55	6	,	,	PUNCT
ejpam-6774	55	7	18	18	NUM
ejpam-6774	55	8	(	(	PUNCT
ejpam-6774	55	9	4	4	NUM
ejpam-6774	55	10	)	)	PUNCT
ejpam-6774	55	11	(	(	PUNCT
ejpam-6774	55	12	2025	2025	NUM
ejpam-6774	55	13	)	)	PUNCT
ejpam-6774	55	14	,	,	PUNCT
ejpam-6774	55	15	6774	6774	NUM
ejpam-6774	55	16	4	4	NUM
ejpam-6774	55	17	of	of	ADP
ejpam-6774	55	18	16	16	NUM
ejpam-6774	55	19	(	(	PUNCT
ejpam-6774	55	20	i	i	NOUN
ejpam-6774	55	21	)	)	PUNCT
ejpam-6774	55	22	αk	αk	PROPN
ejpam-6774	55	23	,	,	PUNCT
ejpam-6774	55	24	k	k	NOUN
ejpam-6774	56	1	=	=	SYM
ejpam-6774	56	2	1	1	NUM
ejpam-6774	56	3	,	,	PUNCT
ejpam-6774	56	4	2	2	NUM
ejpam-6774	56	5	,	,	PUNCT
ejpam-6774	56	6	3	3	NUM
ejpam-6774	56	7	,	,	PUNCT
ejpam-6774	56	8	4	4	NUM
ejpam-6774	56	9	are	be	AUX
ejpam-6774	56	10	the	the	DET
ejpam-6774	56	11	rates	rate	NOUN
ejpam-6774	56	12	of	of	ADP
ejpam-6774	56	13	growth	growth	NOUN
ejpam-6774	56	14	of	of	ADP
ejpam-6774	56	15	banks	bank	NOUN
ejpam-6774	56	16	that	that	PRON
ejpam-6774	56	17	collaborate	collaborate	VERB
ejpam-6774	56	18	on	on	ADP
ejpam-6774	56	19	investments	investment	NOUN
ejpam-6774	56	20	,	,	PUNCT
ejpam-6774	56	21	international	international	ADJ
ejpam-6774	56	22	,	,	PUNCT
ejpam-6774	56	23	arabic	arabic	ADJ
ejpam-6774	56	24	,	,	PUNCT
ejpam-6774	56	25	and	and	CCONJ
ejpam-6774	56	26	private	private	ADJ
ejpam-6774	56	27	sectors	sector	NOUN
ejpam-6774	56	28	,	,	PUNCT
ejpam-6774	56	29	respectively	respectively	ADV
ejpam-6774	56	30	.	.	PUNCT
ejpam-6774	57	1	(	(	PUNCT
ejpam-6774	57	2	ii	ii	NOUN
ejpam-6774	57	3	)	)	PUNCT
ejpam-6774	57	4	βk	βk	PROPN
ejpam-6774	57	5	,	,	PUNCT
ejpam-6774	57	6	k	k	PROPN
ejpam-6774	58	1	=	=	SYM
ejpam-6774	59	1	1	1	NUM
ejpam-6774	59	2	,	,	PUNCT
ejpam-6774	59	3	2	2	NUM
ejpam-6774	59	4	,	,	PUNCT
ejpam-6774	59	5	3	3	NUM
ejpam-6774	59	6	,	,	PUNCT
ejpam-6774	59	7	4	4	NUM
ejpam-6774	59	8	are	be	AUX
ejpam-6774	59	9	the	the	DET
ejpam-6774	59	10	highest	high	ADJ
ejpam-6774	59	11	earnings	earning	NOUN
ejpam-6774	59	12	recorded	record	VERB
ejpam-6774	59	13	by	by	ADP
ejpam-6774	59	14	the	the	DET
ejpam-6774	59	15	four	four	NUM
ejpam-6774	59	16	categories	category	NOUN
ejpam-6774	59	17	mentioned	mention	VERB
ejpam-6774	59	18	above	above	ADV
ejpam-6774	59	19	.	.	PUNCT
ejpam-6774	60	1	(	(	PUNCT
ejpam-6774	60	2	iii	iii	X
ejpam-6774	60	3	)	)	PUNCT
ejpam-6774	60	4	δk	δk	PROPN
ejpam-6774	60	5	,	,	PUNCT
ejpam-6774	60	6	k	k	PROPN
ejpam-6774	60	7	=	=	SYM
ejpam-6774	60	8	1	1	NUM
ejpam-6774	60	9	,	,	PUNCT
ejpam-6774	60	10	2	2	NUM
ejpam-6774	60	11	,	,	PUNCT
ejpam-6774	60	12	3	3	NUM
ejpam-6774	60	13	,	,	PUNCT
ejpam-6774	60	14	4	4	NUM
ejpam-6774	60	15	are	be	AUX
ejpam-6774	60	16	the	the	DET
ejpam-6774	60	17	competition	competition	NOUN
ejpam-6774	60	18	parameters	parameter	NOUN
ejpam-6774	60	19	.	.	PUNCT
ejpam-6774	61	1	let	let	VERB
ejpam-6774	61	2	us	we	PRON
ejpam-6774	61	3	now	now	ADV
ejpam-6774	61	4	reinterpret	reinterpret	VERB
ejpam-6774	61	5	,	,	PUNCT
ejpam-6774	61	6	in	in	ADP
ejpam-6774	61	7	the	the	DET
ejpam-6774	61	8	caputo	caputo	PROPN
ejpam-6774	61	9	sense	sense	NOUN
ejpam-6774	61	10	,	,	PUNCT
ejpam-6774	61	11	the	the	DET
ejpam-6774	61	12	banks	bank	NOUN
ejpam-6774	61	13	’	’	PART
ejpam-6774	61	14	competitiveness	competitiveness	NOUN
ejpam-6774	61	15	model	model	NOUN
ejpam-6774	61	16	under	under	ADP
ejpam-6774	61	17	fractal	fractal	ADJ
ejpam-6774	61	18	-	-	PUNCT
ejpam-6774	61	19	fractional	fractional	ADJ
ejpam-6774	61	20	derivative	derivative	NOUN
ejpam-6774	61	21	which	which	PRON
ejpam-6774	61	22	is	be	AUX
ejpam-6774	61	23	formulated	formulate	VERB
ejpam-6774	61	24	as	as	SCONJ
ejpam-6774	61	25	follows	follow	VERB
ejpam-6774	61	26	:	:	PUNCT
ejpam-6774	61	27	ffpdξ,%υs(t	ffpdξ,%υs(t	ADJ
ejpam-6774	61	28	)	)	PUNCT
ejpam-6774	61	29	=	=	SYM
ejpam-6774	61	30	αsυs(t	αsυs(t	NOUN
ejpam-6774	61	31	)	)	PUNCT
ejpam-6774	61	32	(	(	PUNCT
ejpam-6774	61	33	1−	1−	NUM
ejpam-6774	61	34	υs(t	υs(t	NOUN
ejpam-6774	61	35	)	)	PUNCT
ejpam-6774	61	36	βs	βs	PUNCT
ejpam-6774	61	37	)	)	PUNCT
ejpam-6774	62	1	−	−	ADP
ejpam-6774	62	2	δs	δs	VERB
ejpam-6774	62	3	n̄[υ1	n̄[υ1	ADJ
ejpam-6774	62	4	,	,	PUNCT
ejpam-6774	62	5	υ2	υ2	NOUN
ejpam-6774	62	6	,	,	PUNCT
ejpam-6774	62	7	υ3	υ3	NOUN
ejpam-6774	62	8	,	,	PUNCT
ejpam-6774	62	9	υ4	υ4	PROPN
ejpam-6774	62	10	]	]	PUNCT
ejpam-6774	62	11	.	.	PUNCT
ejpam-6774	63	1	(	(	PUNCT
ejpam-6774	63	2	2	2	X
ejpam-6774	63	3	)	)	PUNCT
ejpam-6774	63	4	to	to	PART
ejpam-6774	63	5	examine	examine	VERB
ejpam-6774	63	6	numerically	numerically	ADV
ejpam-6774	63	7	the	the	DET
ejpam-6774	63	8	system	system	NOUN
ejpam-6774	63	9	with	with	ADP
ejpam-6774	63	10	the	the	DET
ejpam-6774	63	11	ff	ff	PROPN
ejpam-6774	63	12	derivative	derivative	NOUN
ejpam-6774	63	13	(	(	PUNCT
ejpam-6774	63	14	2	2	NUM
ejpam-6774	63	15	)	)	PUNCT
ejpam-6774	63	16	,	,	PUNCT
ejpam-6774	63	17	we	we	PRON
ejpam-6774	63	18	can	can	AUX
ejpam-6774	63	19	rewrite	rewrite	VERB
ejpam-6774	63	20	(	(	PUNCT
ejpam-6774	63	21	2	2	NUM
ejpam-6774	63	22	)	)	PUNCT
ejpam-6774	63	23	as	as	ADP
ejpam-6774	63	24	:	:	PUNCT
ejpam-6774	63	25	rldξυs(t	rldξυs(t	NUM
ejpam-6774	63	26	)	)	PUNCT
ejpam-6774	63	27	=	=	SYM
ejpam-6774	64	1	%	%	NOUN
ejpam-6774	64	2	t%−1	t%−1	ADJ
ejpam-6774	64	3	[	[	PUNCT
ejpam-6774	64	4	αsυs(t	αsυs(t	NOUN
ejpam-6774	64	5	)	)	PUNCT
ejpam-6774	64	6	(	(	PUNCT
ejpam-6774	64	7	1−	1−	NUM
ejpam-6774	64	8	υs(t	υs(t	NOUN
ejpam-6774	64	9	)	)	PUNCT
ejpam-6774	64	10	βs	βs	PUNCT
ejpam-6774	64	11	)	)	PUNCT
ejpam-6774	65	1	−	−	ADP
ejpam-6774	65	2	δs	δs	VERB
ejpam-6774	65	3	n̄[υ1	n̄[υ1	ADJ
ejpam-6774	65	4	,	,	PUNCT
ejpam-6774	65	5	υ2	υ2	NOUN
ejpam-6774	65	6	,	,	PUNCT
ejpam-6774	65	7	υ3	υ3	NOUN
ejpam-6774	65	8	,	,	PUNCT
ejpam-6774	65	9	υ4	υ4	PROPN
ejpam-6774	65	10	]	]	PUNCT
ejpam-6774	65	11	]	]	PUNCT
ejpam-6774	65	12	.	.	PUNCT
ejpam-6774	66	1	(	(	PUNCT
ejpam-6774	66	2	3	3	X
ejpam-6774	66	3	)	)	PUNCT
ejpam-6774	66	4	upon	upon	SCONJ
ejpam-6774	66	5	substituting	substitute	VERB
ejpam-6774	66	6	the	the	DET
ejpam-6774	66	7	derivative	derivative	ADJ
ejpam-6774	66	8	rld	rld	NOUN
ejpam-6774	66	9	with	with	ADP
ejpam-6774	66	10	cd	cd	PROPN
ejpam-6774	66	11	and	and	CCONJ
ejpam-6774	66	12	utilizing	utilize	VERB
ejpam-6774	66	13	the	the	DET
ejpam-6774	66	14	fractional	fractional	ADJ
ejpam-6774	66	15	integral	integral	ADJ
ejpam-6774	66	16	,	,	PUNCT
ejpam-6774	66	17	the	the	DET
ejpam-6774	66	18	following	follow	VERB
ejpam-6774	66	19	is	be	AUX
ejpam-6774	66	20	the	the	DET
ejpam-6774	66	21	obtained	obtain	VERB
ejpam-6774	66	22	solution	solution	NOUN
ejpam-6774	66	23	:	:	PUNCT
ejpam-6774	66	24	ῡ(t	ῡ(t	X
ejpam-6774	66	25	)	)	PUNCT
ejpam-6774	66	26	=	=	SYM
ejpam-6774	66	27	ῡ(0	ῡ(0	NOUN
ejpam-6774	66	28	)	)	PUNCT
ejpam-6774	67	1	+	+	NUM
ejpam-6774	67	2	%	%	X
ejpam-6774	67	3	γ(ξ	γ(ξ	PROPN
ejpam-6774	67	4	)	)	PUNCT
ejpam-6774	67	5	∫	∫	PROPN
ejpam-6774	68	1	t	t	PROPN
ejpam-6774	68	2	0	0	NUM
ejpam-6774	69	1	y%−1(t−	y%−1(t−	PROPN
ejpam-6774	69	2	y)ξ−1f(ῡ(y	y)ξ−1f(ῡ(y	PROPN
ejpam-6774	69	3	)	)	PUNCT
ejpam-6774	69	4	,	,	PUNCT
ejpam-6774	69	5	y	y	X
ejpam-6774	69	6	)	)	PUNCT
ejpam-6774	69	7	dy	dy	NOUN
ejpam-6774	69	8	,	,	PUNCT
ejpam-6774	69	9	(	(	PUNCT
ejpam-6774	69	10	4	4	X
ejpam-6774	69	11	)	)	PUNCT
ejpam-6774	69	12	the	the	DET
ejpam-6774	69	13	vector	vector	NOUN
ejpam-6774	69	14	function	function	NOUN
ejpam-6774	69	15	ῡ(t	ῡ(t	PROPN
ejpam-6774	69	16	)	)	PUNCT
ejpam-6774	69	17	is	be	AUX
ejpam-6774	69	18	given	give	VERB
ejpam-6774	69	19	by	by	ADP
ejpam-6774	69	20	ῡ(t	ῡ(t	ADJ
ejpam-6774	69	21	)	)	PUNCT
ejpam-6774	70	1	=	=	PUNCT
ejpam-6774	71	1	[	[	X
ejpam-6774	71	2	υ1(t),υ2(t),υ3(t),υ4(t	υ1(t),υ2(t),υ3(t),υ4(t	NOUN
ejpam-6774	71	3	)	)	PUNCT
ejpam-6774	71	4	]	]	PUNCT
ejpam-6774	71	5	t	t	NOUN
ejpam-6774	71	6	and	and	CCONJ
ejpam-6774	71	7	f(ῡ(t	f(ῡ(t	PROPN
ejpam-6774	71	8	)	)	PUNCT
ejpam-6774	71	9	,	,	PUNCT
ejpam-6774	71	10	t	t	PROPN
ejpam-6774	71	11	)	)	PUNCT
ejpam-6774	71	12	=	=	SYM
ejpam-6774	71	13	(	(	PUNCT
ejpam-6774	71	14	f1(υ1,υ2,υ3,υ4	f1(υ1,υ2,υ3,υ4	PROPN
ejpam-6774	71	15	,	,	PUNCT
ejpam-6774	71	16	t	t	PROPN
ejpam-6774	71	17	)	)	PUNCT
ejpam-6774	71	18	,	,	PUNCT
ejpam-6774	71	19	f2(υ1,υ2,υ3,υ4	f2(υ1,υ2,υ3,υ4	PROPN
ejpam-6774	71	20	,	,	PUNCT
ejpam-6774	71	21	t	t	PROPN
ejpam-6774	71	22	)	)	PUNCT
ejpam-6774	71	23	,	,	PUNCT
ejpam-6774	71	24	f3(υ1,υ2,υ3,υ4	f3(υ1,υ2,υ3,υ4	PROPN
ejpam-6774	71	25	,	,	PUNCT
ejpam-6774	71	26	t	t	PROPN
ejpam-6774	71	27	)	)	PUNCT
ejpam-6774	71	28	,	,	PUNCT
ejpam-6774	71	29	f4(υ1,υ2,υ3,υ4	f4(υ1,υ2,υ3,υ4	PROPN
ejpam-6774	71	30	,	,	PUNCT
ejpam-6774	71	31	t	t	PROPN
ejpam-6774	71	32	)	)	PUNCT
ejpam-6774	71	33	)	)	PUNCT
ejpam-6774	71	34	t	t	NOUN
ejpam-6774	71	35	,	,	PUNCT
ejpam-6774	71	36	(	(	PUNCT
ejpam-6774	71	37	5	5	X
ejpam-6774	71	38	)	)	PUNCT
ejpam-6774	71	39	where	where	SCONJ
ejpam-6774	71	40	fs(υ1,υ2,υ3,υ4	fs(υ1,υ2,υ3,υ4	ADJ
ejpam-6774	71	41	,	,	PUNCT
ejpam-6774	71	42	t	t	PROPN
ejpam-6774	71	43	)	)	PUNCT
ejpam-6774	71	44	=	=	SYM
ejpam-6774	71	45	αsυs(t	αsυs(t	NOUN
ejpam-6774	71	46	)	)	PUNCT
ejpam-6774	71	47	(	(	PUNCT
ejpam-6774	71	48	1−	1−	NUM
ejpam-6774	71	49	υs(t	υs(t	NOUN
ejpam-6774	71	50	)	)	PUNCT
ejpam-6774	71	51	βs	βs	PUNCT
ejpam-6774	71	52	)	)	PUNCT
ejpam-6774	71	53	−	−	PROPN
ejpam-6774	71	54	δsυ1(t)υ2(t)υ3(t)υ4(t	δsυ1(t)υ2(t)υ3(t)υ4(t	NOUN
ejpam-6774	71	55	)	)	PUNCT
ejpam-6774	71	56	.	.	PUNCT
ejpam-6774	72	1	we	we	PRON
ejpam-6774	72	2	can	can	AUX
ejpam-6774	72	3	implement	implement	VERB
ejpam-6774	72	4	the	the	DET
ejpam-6774	72	5	banach	banach	ADV
ejpam-6774	72	6	fixed	fix	VERB
ejpam-6774	72	7	point	point	NOUN
ejpam-6774	72	8	(	(	PUNCT
ejpam-6774	72	9	bfp	bfp	NOUN
ejpam-6774	72	10	)	)	PUNCT
ejpam-6774	72	11	theorem	theorem	VERB
ejpam-6774	72	12	to	to	PART
ejpam-6774	72	13	prove	prove	VERB
ejpam-6774	72	14	adequate	adequate	ADJ
ejpam-6774	72	15	constraints	constraint	NOUN
ejpam-6774	72	16	on	on	ADP
ejpam-6774	72	17	the	the	DET
ejpam-6774	72	18	existence	existence	NOUN
ejpam-6774	72	19	of	of	ADP
ejpam-6774	72	20	a	a	DET
ejpam-6774	72	21	unique	unique	ADJ
ejpam-6774	72	22	solution	solution	NOUN
ejpam-6774	72	23	of	of	ADP
ejpam-6774	72	24	the	the	DET
ejpam-6774	72	25	model	model	NOUN
ejpam-6774	72	26	(	(	PUNCT
ejpam-6774	72	27	1	1	NUM
ejpam-6774	72	28	)	)	PUNCT
ejpam-6774	72	29	.	.	PUNCT
ejpam-6774	73	1	let	let	VERB
ejpam-6774	73	2	b	b	NOUN
ejpam-6774	73	3	=	=	SYM
ejpam-6774	73	4	r4	r4	PROPN
ejpam-6774	73	5	be	be	AUX
ejpam-6774	73	6	a	a	DET
ejpam-6774	73	7	banach	banach	NOUN
ejpam-6774	73	8	space	space	NOUN
ejpam-6774	73	9	with	with	ADP
ejpam-6774	73	10	the	the	DET
ejpam-6774	73	11	norm	norm	NOUN
ejpam-6774	73	12	:	:	PUNCT
ejpam-6774	73	13	‖ῡ(t)‖	‖ῡ(t)‖	NOUN
ejpam-6774	73	14	=	=	SYM
ejpam-6774	73	15	max	max	PROPN
ejpam-6774	73	16	t∈i	t∈i	NOUN
ejpam-6774	73	17	‖υ1(t	‖υ1(t	PROPN
ejpam-6774	73	18	)	)	PUNCT
ejpam-6774	74	1	+	+	CCONJ
ejpam-6774	75	1	υ2(t	υ2(t	X
ejpam-6774	75	2	)	)	PUNCT
ejpam-6774	76	1	+	+	CCONJ
ejpam-6774	76	2	υ3(t	υ3(t	VERB
ejpam-6774	76	3	)	)	PUNCT
ejpam-6774	76	4	+	+	NUM
ejpam-6774	76	5	υ4(t)‖	υ4(t)‖	NOUN
ejpam-6774	76	6	,	,	PUNCT
ejpam-6774	76	7	and	and	CCONJ
ejpam-6774	76	8	i	i	PRON
ejpam-6774	76	9	=	=	PUNCT
ejpam-6774	76	10	(	(	PUNCT
ejpam-6774	76	11	t0	t0	PROPN
ejpam-6774	76	12	−	−	PROPN
ejpam-6774	76	13	ω	ω	PROPN
ejpam-6774	76	14	,	,	PUNCT
ejpam-6774	76	15	t0	t0	PROPN
ejpam-6774	76	16	+	+	PROPN
ejpam-6774	76	17	ω	ω	NUM
ejpam-6774	76	18	)	)	PUNCT
ejpam-6774	76	19	.	.	PUNCT
ejpam-6774	77	1	to	to	PART
ejpam-6774	77	2	accomplish	accomplish	VERB
ejpam-6774	77	3	our	our	PRON
ejpam-6774	77	4	aim	aim	NOUN
ejpam-6774	77	5	,	,	PUNCT
ejpam-6774	77	6	we	we	PRON
ejpam-6774	77	7	define	define	VERB
ejpam-6774	77	8	the	the	DET
ejpam-6774	77	9	mapping	mapping	NOUN
ejpam-6774	77	10	t	t	NOUN
ejpam-6774	77	11	:	:	PUNCT
ejpam-6774	77	12	b	b	X
ejpam-6774	77	13	→	→	SYM
ejpam-6774	77	14	b	b	NOUN
ejpam-6774	77	15	by	by	ADP
ejpam-6774	77	16	:	:	PUNCT
ejpam-6774	77	17	t(ῡ(t	t(ῡ(t	NOUN
ejpam-6774	77	18	)	)	PUNCT
ejpam-6774	77	19	)	)	PUNCT
ejpam-6774	78	1	=	=	SYM
ejpam-6774	78	2	ῡ(t	ῡ(t	ADJ
ejpam-6774	78	3	)	)	PUNCT
ejpam-6774	78	4	=	=	SYM
ejpam-6774	78	5	ῡ(0	ῡ(0	NOUN
ejpam-6774	78	6	)	)	PUNCT
ejpam-6774	79	1	+	+	NUM
ejpam-6774	79	2	%	%	X
ejpam-6774	79	3	γ(ξ	γ(ξ	PROPN
ejpam-6774	79	4	)	)	PUNCT
ejpam-6774	79	5	∫	∫	PROPN
ejpam-6774	79	6	t	t	PROPN
ejpam-6774	79	7	0	0	NUM
ejpam-6774	80	1	y%−1	y%−1	NOUN
ejpam-6774	80	2	(	(	PUNCT
ejpam-6774	80	3	t−	t−	PROPN
ejpam-6774	80	4	y)ξ−1f(ῡ(y	y)ξ−1f(ῡ(y	PROPN
ejpam-6774	80	5	)	)	PUNCT
ejpam-6774	80	6	,	,	PUNCT
ejpam-6774	80	7	y	y	NOUN
ejpam-6774	80	8	)	)	PUNCT
ejpam-6774	80	9	dy	dy	NOUN
ejpam-6774	80	10	.	.	PUNCT
ejpam-6774	81	1	(	(	PUNCT
ejpam-6774	81	2	6	6	X
ejpam-6774	81	3	)	)	PUNCT
ejpam-6774	81	4	we	we	PRON
ejpam-6774	81	5	can	can	AUX
ejpam-6774	81	6	follow	follow	VERB
ejpam-6774	81	7	the	the	DET
ejpam-6774	81	8	same	same	ADJ
ejpam-6774	81	9	manner	manner	NOUN
ejpam-6774	81	10	as	as	ADP
ejpam-6774	81	11	in	in	ADP
ejpam-6774	81	12	[	[	X
ejpam-6774	81	13	22	22	NUM
ejpam-6774	81	14	]	]	PUNCT
ejpam-6774	81	15	to	to	PART
ejpam-6774	81	16	prove	prove	VERB
ejpam-6774	81	17	the	the	DET
ejpam-6774	81	18	existence	existence	NOUN
ejpam-6774	81	19	by	by	ADP
ejpam-6774	81	20	showing	show	VERB
ejpam-6774	81	21	that	that	SCONJ
ejpam-6774	81	22	t	t	PROPN
ejpam-6774	81	23	is	be	AUX
ejpam-6774	81	24	a	a	DET
ejpam-6774	81	25	contraction	contraction	NOUN
ejpam-6774	81	26	mapping	mapping	NOUN
ejpam-6774	81	27	.	.	PUNCT
ejpam-6774	82	1	m.	m.	PROPN
ejpam-6774	82	2	adel	adel	PROPN
ejpam-6774	82	3	et	et	PROPN
ejpam-6774	82	4	al	al	PROPN
ejpam-6774	82	5	.	.	PUNCT
ejpam-6774	82	6	/	/	SYM
ejpam-6774	82	7	eur	eur	PROPN
ejpam-6774	82	8	.	.	PUNCT
ejpam-6774	83	1	j.	j.	PROPN
ejpam-6774	83	2	pure	pure	PROPN
ejpam-6774	83	3	appl	appl	PROPN
ejpam-6774	83	4	.	.	PROPN
ejpam-6774	83	5	math	math	PROPN
ejpam-6774	83	6	,	,	PUNCT
ejpam-6774	83	7	18	18	NUM
ejpam-6774	83	8	(	(	PUNCT
ejpam-6774	83	9	4	4	NUM
ejpam-6774	83	10	)	)	PUNCT
ejpam-6774	83	11	(	(	PUNCT
ejpam-6774	83	12	2025	2025	NUM
ejpam-6774	83	13	)	)	PUNCT
ejpam-6774	83	14	,	,	PUNCT
ejpam-6774	83	15	6774	6774	NUM
ejpam-6774	83	16	5	5	NUM
ejpam-6774	83	17	of	of	ADP
ejpam-6774	83	18	16	16	NUM
ejpam-6774	83	19	3.2	3.2	NUM
ejpam-6774	83	20	.	.	PUNCT
ejpam-6774	84	1	fractal	fractal	ADJ
ejpam-6774	84	2	-	-	PUNCT
ejpam-6774	84	3	fractional	fractional	ADJ
ejpam-6774	84	4	brusselator	brusselator	NOUN
ejpam-6774	84	5	system	system	NOUN
ejpam-6774	84	6	here	here	ADV
ejpam-6774	84	7	,	,	PUNCT
ejpam-6774	84	8	we	we	PRON
ejpam-6774	84	9	will	will	AUX
ejpam-6774	84	10	examine	examine	VERB
ejpam-6774	84	11	the	the	DET
ejpam-6774	84	12	brusselator	brusselator	NOUN
ejpam-6774	84	13	system	system	NOUN
ejpam-6774	84	14	,	,	PUNCT
ejpam-6774	84	15	which	which	PRON
ejpam-6774	84	16	is	be	AUX
ejpam-6774	84	17	expressed	express	VERB
ejpam-6774	84	18	as	as	SCONJ
ejpam-6774	84	19	follows	follow	VERB
ejpam-6774	84	20	(	(	PUNCT
ejpam-6774	84	21	[	[	X
ejpam-6774	84	22	9	9	NUM
ejpam-6774	84	23	]	]	PUNCT
ejpam-6774	84	24	,	,	PUNCT
ejpam-6774	84	25	[	[	X
ejpam-6774	84	26	10	10	NUM
ejpam-6774	84	27	]	]	PUNCT
ejpam-6774	84	28	):	):	PUNCT
ejpam-6774	84	29	θ̇1(t	θ̇1(t	ADJ
ejpam-6774	84	30	)	)	PUNCT
ejpam-6774	85	1	=	=	SYM
ejpam-6774	85	2	δ	δ	X
ejpam-6774	85	3	−	−	PROPN
ejpam-6774	85	4	(	(	PUNCT
ejpam-6774	85	5	γ	γ	X
ejpam-6774	85	6	+	+	NOUN
ejpam-6774	85	7	1	1	NUM
ejpam-6774	85	8	)	)	PUNCT
ejpam-6774	85	9	θ1	θ1	NOUN
ejpam-6774	85	10	+	+	CCONJ
ejpam-6774	85	11	θ21θ2	θ21θ2	VERB
ejpam-6774	85	12	,	,	PUNCT
ejpam-6774	85	13	(	(	PUNCT
ejpam-6774	85	14	7	7	X
ejpam-6774	85	15	)	)	PUNCT
ejpam-6774	85	16	θ̇2(t	θ̇2(t	PROPN
ejpam-6774	85	17	)	)	PUNCT
ejpam-6774	85	18	=	=	SYM
ejpam-6774	85	19	γ	γ	PROPN
ejpam-6774	85	20	θ1	θ1	NOUN
ejpam-6774	85	21	−	−	PROPN
ejpam-6774	85	22	θ21θ2	θ21θ2	PROPN
ejpam-6774	85	23	,	,	PUNCT
ejpam-6774	85	24	(	(	PUNCT
ejpam-6774	85	25	8)	8)	NUM
ejpam-6774	85	26	θk(0	θk(0	NOUN
ejpam-6774	85	27	)	)	PUNCT
ejpam-6774	85	28	=	=	SYM
ejpam-6774	85	29	θk,0	θk,0	PROPN
ejpam-6774	85	30	,	,	PUNCT
ejpam-6774	85	31	k	k	PROPN
ejpam-6774	85	32	=	=	SYM
ejpam-6774	85	33	1	1	NUM
ejpam-6774	85	34	,	,	PUNCT
ejpam-6774	85	35	2	2	NUM
ejpam-6774	85	36	.	.	PUNCT
ejpam-6774	85	37	(	(	PUNCT
ejpam-6774	85	38	9	9	X
ejpam-6774	85	39	)	)	PUNCT
ejpam-6774	85	40	the	the	DET
ejpam-6774	85	41	parameters	parameter	NOUN
ejpam-6774	85	42	δ	δ	PROPN
ejpam-6774	85	43	>	>	X
ejpam-6774	85	44	0	0	PROPN
ejpam-6774	85	45	,	,	PUNCT
ejpam-6774	85	46	γ	γ	X
ejpam-6774	85	47	>	>	X
ejpam-6774	85	48	0	0	NUM
ejpam-6774	85	49	,	,	PUNCT
ejpam-6774	85	50	and	and	CCONJ
ejpam-6774	85	51	θk,0	θk,0	PROPN
ejpam-6774	85	52	,	,	PUNCT
ejpam-6774	85	53	k	k	PROPN
ejpam-6774	85	54	=	=	SYM
ejpam-6774	85	55	1	1	NUM
ejpam-6774	85	56	,	,	PUNCT
ejpam-6774	85	57	2	2	NUM
ejpam-6774	85	58	are	be	AUX
ejpam-6774	85	59	constants	constant	NOUN
ejpam-6774	85	60	[	[	X
ejpam-6774	85	61	18	18	NUM
ejpam-6774	85	62	]	]	PUNCT
ejpam-6774	85	63	.	.	PUNCT
ejpam-6774	86	1	now	now	ADV
ejpam-6774	86	2	,	,	PUNCT
ejpam-6774	86	3	we	we	PRON
ejpam-6774	86	4	formulate	formulate	VERB
ejpam-6774	86	5	the	the	DET
ejpam-6774	86	6	fractal	fractal	ADJ
ejpam-6774	86	7	-	-	PUNCT
ejpam-6774	86	8	fractional	fractional	ADJ
ejpam-6774	86	9	brusselator	brusselator	NOUN
ejpam-6774	86	10	system	system	NOUN
ejpam-6774	86	11	in	in	ADP
ejpam-6774	86	12	the	the	DET
ejpam-6774	86	13	following	follow	VERB
ejpam-6774	86	14	form	form	NOUN
ejpam-6774	86	15	:	:	PUNCT
ejpam-6774	86	16	ffpdξ,%θ1(t	ffpdξ,%θ1(t	X
ejpam-6774	86	17	)	)	PUNCT
ejpam-6774	86	18	=	=	SYM
ejpam-6774	86	19	δ	δ	X
ejpam-6774	86	20	−	−	PROPN
ejpam-6774	86	21	(	(	PUNCT
ejpam-6774	86	22	γ	γ	X
ejpam-6774	86	23	+	+	NOUN
ejpam-6774	86	24	1	1	NUM
ejpam-6774	86	25	)	)	PUNCT
ejpam-6774	86	26	θ1	θ1	NOUN
ejpam-6774	86	27	+	+	CCONJ
ejpam-6774	86	28	θ21(t)θ2	θ21(t)θ2	PROPN
ejpam-6774	86	29	,	,	PUNCT
ejpam-6774	86	30	ffpdξ,%θ2(t	ffpdξ,%θ2(t	PROPN
ejpam-6774	86	31	)	)	PUNCT
ejpam-6774	86	32	=	=	SYM
ejpam-6774	86	33	γ	γ	PROPN
ejpam-6774	86	34	θ1	θ1	PROPN
ejpam-6774	86	35	−	−	PROPN
ejpam-6774	86	36	θ21θ2	θ21θ2	PROPN
ejpam-6774	86	37	.	.	PUNCT
ejpam-6774	87	1	(	(	PUNCT
ejpam-6774	87	2	10	10	NUM
ejpam-6774	87	3	)	)	PUNCT
ejpam-6774	87	4	the	the	DET
ejpam-6774	87	5	system	system	NOUN
ejpam-6774	87	6	(	(	PUNCT
ejpam-6774	87	7	10	10	NUM
ejpam-6774	87	8	)	)	PUNCT
ejpam-6774	87	9	can	can	AUX
ejpam-6774	87	10	be	be	AUX
ejpam-6774	87	11	written	write	VERB
ejpam-6774	87	12	as	as	ADP
ejpam-6774	87	13	:	:	PUNCT
ejpam-6774	87	14	rldξθ1(t	rldξθ1(t	NUM
ejpam-6774	87	15	)	)	PUNCT
ejpam-6774	88	1	=	=	PUNCT
ejpam-6774	88	2	%	%	NOUN
ejpam-6774	88	3	t%−1	t%−1	NOUN
ejpam-6774	88	4	(	(	PUNCT
ejpam-6774	88	5	δ	δ	PROPN
ejpam-6774	88	6	−	−	PROPN
ejpam-6774	88	7	(	(	PUNCT
ejpam-6774	88	8	γ	γ	X
ejpam-6774	88	9	+	+	NOUN
ejpam-6774	88	10	1	1	NUM
ejpam-6774	88	11	)	)	PUNCT
ejpam-6774	88	12	θ1	θ1	NOUN
ejpam-6774	88	13	+	+	CCONJ
ejpam-6774	88	14	θ21θ2	θ21θ2	VERB
ejpam-6774	88	15	)	)	PUNCT
ejpam-6774	88	16	,	,	PUNCT
ejpam-6774	88	17	rldξθ2(t	rldξθ2(t	NOUN
ejpam-6774	88	18	)	)	PUNCT
ejpam-6774	89	1	=	=	PUNCT
ejpam-6774	89	2	%	%	NOUN
ejpam-6774	89	3	t%−1	t%−1	NOUN
ejpam-6774	89	4	(	(	PUNCT
ejpam-6774	89	5	γ	γ	PROPN
ejpam-6774	89	6	θ1	θ1	NOUN
ejpam-6774	89	7	−	−	PROPN
ejpam-6774	89	8	θ21θ2	θ21θ2	NOUN
ejpam-6774	89	9	)	)	PUNCT
ejpam-6774	89	10	.	.	PUNCT
ejpam-6774	90	1	(	(	PUNCT
ejpam-6774	90	2	11	11	NUM
ejpam-6774	90	3	)	)	PUNCT
ejpam-6774	90	4	upon	upon	SCONJ
ejpam-6774	90	5	substituting	substitute	VERB
ejpam-6774	90	6	the	the	DET
ejpam-6774	90	7	derivative	derivative	ADJ
ejpam-6774	90	8	rld	rld	NOUN
ejpam-6774	90	9	with	with	ADP
ejpam-6774	90	10	cd	cd	PROPN
ejpam-6774	90	11	and	and	CCONJ
ejpam-6774	90	12	utilizing	utilize	VERB
ejpam-6774	90	13	the	the	DET
ejpam-6774	90	14	fractional	fractional	ADJ
ejpam-6774	90	15	integral	integral	ADJ
ejpam-6774	90	16	,	,	PUNCT
ejpam-6774	90	17	the	the	DET
ejpam-6774	90	18	following	follow	VERB
ejpam-6774	90	19	is	be	AUX
ejpam-6774	90	20	the	the	DET
ejpam-6774	90	21	obtained	obtain	VERB
ejpam-6774	90	22	solution	solution	NOUN
ejpam-6774	90	23	:	:	PUNCT
ejpam-6774	90	24	θ̄(t	θ̄(t	NUM
ejpam-6774	90	25	)	)	PUNCT
ejpam-6774	90	26	=	=	SYM
ejpam-6774	90	27	θ̄(0	θ̄(0	NUM
ejpam-6774	90	28	)	)	PUNCT
ejpam-6774	91	1	+	+	NUM
ejpam-6774	91	2	%	%	X
ejpam-6774	91	3	γ(ξ	γ(ξ	PROPN
ejpam-6774	91	4	)	)	PUNCT
ejpam-6774	91	5	∫	∫	PROPN
ejpam-6774	91	6	t	t	PROPN
ejpam-6774	91	7	0	0	NUM
ejpam-6774	92	1	(	(	PUNCT
ejpam-6774	92	2	t−	t−	PROPN
ejpam-6774	92	3	s)ξ−1s%−1f(θ̄(s	s)ξ−1s%−1f(θ̄(s	PROPN
ejpam-6774	92	4	)	)	PUNCT
ejpam-6774	92	5	,	,	PUNCT
ejpam-6774	92	6	s	s	X
ejpam-6774	92	7	)	)	PUNCT
ejpam-6774	92	8	ds	ds	ADJ
ejpam-6774	92	9	,	,	PUNCT
ejpam-6774	92	10	(	(	PUNCT
ejpam-6774	92	11	12	12	NUM
ejpam-6774	92	12	)	)	PUNCT
ejpam-6774	92	13	where	where	SCONJ
ejpam-6774	92	14	θ̄(t	θ̄(t	NOUN
ejpam-6774	92	15	)	)	PUNCT
ejpam-6774	92	16	=	=	PUNCT
ejpam-6774	93	1	[	[	X
ejpam-6774	93	2	θ1(t	θ1(t	PROPN
ejpam-6774	93	3	)	)	PUNCT
ejpam-6774	93	4	,	,	PUNCT
ejpam-6774	93	5	θ2(t	θ2(t	PROPN
ejpam-6774	93	6	)	)	PUNCT
ejpam-6774	93	7	]	]	PUNCT
ejpam-6774	94	1	t	t	NOUN
ejpam-6774	94	2	,	,	PUNCT
ejpam-6774	94	3	θ̄(0	θ̄(0	PUNCT
ejpam-6774	94	4	)	)	PUNCT
ejpam-6774	94	5	=	=	PUNCT
ejpam-6774	95	1	[	[	X
ejpam-6774	95	2	θ1(0	θ1(0	PROPN
ejpam-6774	95	3	)	)	PUNCT
ejpam-6774	95	4	,	,	PUNCT
ejpam-6774	95	5	θ2(0	θ2(0	PROPN
ejpam-6774	95	6	)	)	PUNCT
ejpam-6774	95	7	]	]	PUNCT
ejpam-6774	96	1	t	t	NOUN
ejpam-6774	96	2	,	,	PUNCT
ejpam-6774	96	3	f(θ̄(t	f(θ̄(t	NOUN
ejpam-6774	96	4	)	)	PUNCT
ejpam-6774	96	5	,	,	PUNCT
ejpam-6774	96	6	t	t	PROPN
ejpam-6774	96	7	)	)	PUNCT
ejpam-6774	96	8	=	=	SYM
ejpam-6774	96	9	(	(	PUNCT
ejpam-6774	96	10	f1(θ1	f1(θ1	PROPN
ejpam-6774	96	11	,	,	PUNCT
ejpam-6774	96	12	θ2	θ2	PROPN
ejpam-6774	96	13	,	,	PUNCT
ejpam-6774	96	14	t	t	PROPN
ejpam-6774	96	15	)	)	PUNCT
ejpam-6774	96	16	f2(θ1	f2(θ1	PROPN
ejpam-6774	96	17	,	,	PUNCT
ejpam-6774	96	18	θ2	θ2	PROPN
ejpam-6774	96	19	,	,	PUNCT
ejpam-6774	96	20	t	t	PROPN
ejpam-6774	96	21	)	)	PUNCT
ejpam-6774	96	22	)	)	PUNCT
ejpam-6774	97	1	=	=	PUNCT
ejpam-6774	97	2	(	(	PUNCT
ejpam-6774	97	3	δ	δ	PROPN
ejpam-6774	97	4	−	−	PROPN
ejpam-6774	97	5	(	(	PUNCT
ejpam-6774	97	6	γ	γ	X
ejpam-6774	97	7	+	+	NOUN
ejpam-6774	97	8	1	1	NUM
ejpam-6774	97	9	)	)	PUNCT
ejpam-6774	97	10	θ1	θ1	NOUN
ejpam-6774	97	11	+	+	CCONJ
ejpam-6774	97	12	θ21θ2	θ21θ2	VERB
ejpam-6774	97	13	γ	γ	PROPN
ejpam-6774	97	14	θ1	θ1	NOUN
ejpam-6774	97	15	−	−	PROPN
ejpam-6774	97	16	θ21θ2	θ21θ2	VERB
ejpam-6774	97	17	)	)	PUNCT
ejpam-6774	97	18	.	.	PUNCT
ejpam-6774	98	1	(	(	PUNCT
ejpam-6774	98	2	13	13	NUM
ejpam-6774	98	3	)	)	PUNCT
ejpam-6774	98	4	using	use	VERB
ejpam-6774	98	5	the	the	DET
ejpam-6774	98	6	bfp	bfp	NOUN
ejpam-6774	98	7	theorem	theorem	VERB
ejpam-6774	98	8	,	,	PUNCT
ejpam-6774	98	9	we	we	PRON
ejpam-6774	98	10	can	can	AUX
ejpam-6774	98	11	now	now	ADV
ejpam-6774	98	12	establish	establish	VERB
ejpam-6774	98	13	adequate	adequate	ADJ
ejpam-6774	98	14	constraints	constraint	NOUN
ejpam-6774	98	15	on	on	ADP
ejpam-6774	98	16	the	the	DET
ejpam-6774	98	17	existence	existence	NOUN
ejpam-6774	98	18	and	and	CCONJ
ejpam-6774	98	19	uniqueness	uniqueness	NOUN
ejpam-6774	98	20	of	of	ADP
ejpam-6774	98	21	the	the	DET
ejpam-6774	98	22	solution	solution	NOUN
ejpam-6774	98	23	of	of	ADP
ejpam-6774	98	24	the	the	DET
ejpam-6774	98	25	system	system	NOUN
ejpam-6774	98	26	(	(	PUNCT
ejpam-6774	98	27	11	11	NUM
ejpam-6774	98	28	)	)	PUNCT
ejpam-6774	98	29	.	.	PUNCT
ejpam-6774	99	1	let	let	VERB
ejpam-6774	99	2	b	b	NOUN
ejpam-6774	99	3	=	=	SYM
ejpam-6774	99	4	r2	r2	PROPN
ejpam-6774	99	5	with	with	ADP
ejpam-6774	99	6	the	the	DET
ejpam-6774	99	7	norm	norm	NOUN
ejpam-6774	99	8	:	:	PUNCT
ejpam-6774	99	9	‖θ̄(t)‖	‖θ̄(t)‖	NOUN
ejpam-6774	99	10	=	=	SYM
ejpam-6774	99	11	max	max	PROPN
ejpam-6774	99	12	t∈i	t∈i	NOUN
ejpam-6774	99	13	‖θ1(t	‖θ1(t	PROPN
ejpam-6774	99	14	)	)	PUNCT
ejpam-6774	100	1	+	+	CCONJ
ejpam-6774	100	2	θ2(t)‖.	θ2(t)‖.	VERB
ejpam-6774	100	3	after	after	ADP
ejpam-6774	100	4	that	that	PRON
ejpam-6774	100	5	,	,	PUNCT
ejpam-6774	100	6	we	we	PRON
ejpam-6774	100	7	proceed	proceed	VERB
ejpam-6774	100	8	as	as	SCONJ
ejpam-6774	100	9	we	we	PRON
ejpam-6774	100	10	did	do	VERB
ejpam-6774	100	11	in	in	ADP
ejpam-6774	100	12	the	the	DET
ejpam-6774	100	13	preceding	precede	VERB
ejpam-6774	100	14	section	section	NOUN
ejpam-6774	100	15	.	.	PUNCT
ejpam-6774	101	1	4	4	X
ejpam-6774	101	2	.	.	X
ejpam-6774	101	3	numerical	numerical	ADJ
ejpam-6774	101	4	implementation	implementation	NOUN
ejpam-6774	101	5	on	on	ADP
ejpam-6774	101	6	the	the	DET
ejpam-6774	101	7	proposed	propose	VERB
ejpam-6774	101	8	models	model	NOUN
ejpam-6774	101	9	to	to	PART
ejpam-6774	101	10	demonstrate	demonstrate	VERB
ejpam-6774	101	11	the	the	DET
ejpam-6774	101	12	numerical	numerical	ADJ
ejpam-6774	101	13	simulation	simulation	NOUN
ejpam-6774	101	14	of	of	ADP
ejpam-6774	101	15	the	the	DET
ejpam-6774	101	16	models	model	NOUN
ejpam-6774	101	17	under	under	ADP
ejpam-6774	101	18	study	study	NOUN
ejpam-6774	101	19	,	,	PUNCT
ejpam-6774	101	20	we	we	PRON
ejpam-6774	101	21	will	will	AUX
ejpam-6774	101	22	set	set	VERB
ejpam-6774	101	23	up	up	ADP
ejpam-6774	101	24	numerical	numerical	ADJ
ejpam-6774	101	25	schemes	scheme	NOUN
ejpam-6774	101	26	for	for	ADP
ejpam-6774	101	27	them	they	PRON
ejpam-6774	101	28	in	in	ADP
ejpam-6774	101	29	their	their	PRON
ejpam-6774	101	30	fractional	fractional	ADJ
ejpam-6774	101	31	form	form	NOUN
ejpam-6774	101	32	of	of	ADP
ejpam-6774	101	33	the	the	DET
ejpam-6774	101	34	ff	ff	NOUN
ejpam-6774	101	35	type	type	NOUN
ejpam-6774	101	36	in	in	ADP
ejpam-6774	101	37	this	this	DET
ejpam-6774	101	38	section	section	NOUN
ejpam-6774	101	39	.	.	PUNCT
ejpam-6774	102	1	m.	m.	PROPN
ejpam-6774	102	2	adel	adel	PROPN
ejpam-6774	102	3	et	et	PROPN
ejpam-6774	102	4	al	al	PROPN
ejpam-6774	102	5	.	.	PUNCT
ejpam-6774	102	6	/	/	SYM
ejpam-6774	102	7	eur	eur	PROPN
ejpam-6774	102	8	.	.	PUNCT
ejpam-6774	103	1	j.	j.	PROPN
ejpam-6774	103	2	pure	pure	PROPN
ejpam-6774	103	3	appl	appl	PROPN
ejpam-6774	103	4	.	.	PROPN
ejpam-6774	103	5	math	math	PROPN
ejpam-6774	103	6	,	,	PUNCT
ejpam-6774	103	7	18	18	NUM
ejpam-6774	103	8	(	(	PUNCT
ejpam-6774	103	9	4	4	NUM
ejpam-6774	103	10	)	)	PUNCT
ejpam-6774	103	11	(	(	PUNCT
ejpam-6774	103	12	2025	2025	NUM
ejpam-6774	103	13	)	)	PUNCT
ejpam-6774	103	14	,	,	PUNCT
ejpam-6774	103	15	6774	6774	NUM
ejpam-6774	103	16	6	6	NUM
ejpam-6774	103	17	of	of	ADP
ejpam-6774	103	18	16	16	NUM
ejpam-6774	103	19	4.1	4.1	NUM
ejpam-6774	103	20	.	.	PUNCT
ejpam-6774	104	1	the	the	DET
ejpam-6774	104	2	banks	bank	NOUN
ejpam-6774	104	3	’	’	PART
ejpam-6774	104	4	competition	competition	NOUN
ejpam-6774	104	5	model	model	NOUN
ejpam-6774	104	6	to	to	PART
ejpam-6774	104	7	do	do	VERB
ejpam-6774	104	8	this	this	PRON
ejpam-6774	104	9	,	,	PUNCT
ejpam-6774	104	10	let	let	VERB
ejpam-6774	104	11	us	we	PRON
ejpam-6774	104	12	modify	modify	VERB
ejpam-6774	104	13	the	the	DET
ejpam-6774	104	14	model	model	NOUN
ejpam-6774	104	15	found	find	VERB
ejpam-6774	104	16	in	in	ADP
ejpam-6774	104	17	(	(	PUNCT
ejpam-6774	104	18	3	3	NUM
ejpam-6774	104	19	)	)	PUNCT
ejpam-6774	104	20	as	as	SCONJ
ejpam-6774	104	21	follows	follow	VERB
ejpam-6774	104	22	:	:	PUNCT
ejpam-6774	104	23	cdξυi(t	cdξυi(t	NOUN
ejpam-6774	104	24	)	)	PUNCT
ejpam-6774	104	25	=	=	PUNCT
ejpam-6774	104	26	%	%	NOUN
ejpam-6774	104	27	t%−1	t%−1	X
ejpam-6774	104	28	[	[	PUNCT
ejpam-6774	104	29	αiυi(t	αiυi(t	NOUN
ejpam-6774	104	30	)	)	PUNCT
ejpam-6774	104	31	(	(	PUNCT
ejpam-6774	104	32	1−	1−	NUM
ejpam-6774	104	33	β−1	β−1	PUNCT
ejpam-6774	104	34	i	i	PRON
ejpam-6774	104	35	υi(t	υi(t	NOUN
ejpam-6774	104	36	)	)	PUNCT
ejpam-6774	104	37	)	)	PUNCT
ejpam-6774	105	1	−	−	ADP
ejpam-6774	105	2	δi	δi	PROPN
ejpam-6774	105	3	n̄[υ1	n̄[υ1	ADJ
ejpam-6774	105	4	,	,	PUNCT
ejpam-6774	105	5	υ2	υ2	NOUN
ejpam-6774	105	6	,	,	PUNCT
ejpam-6774	105	7	υ3	υ3	NOUN
ejpam-6774	105	8	,	,	PUNCT
ejpam-6774	105	9	υ4	υ4	PROPN
ejpam-6774	105	10	]	]	PUNCT
ejpam-6774	105	11	]	]	PUNCT
ejpam-6774	105	12	,	,	PUNCT
ejpam-6774	105	13	i	i	PRON
ejpam-6774	105	14	=	=	NOUN
ejpam-6774	105	15	1	1	NUM
ejpam-6774	105	16	,	,	PUNCT
ejpam-6774	105	17	2	2	NUM
ejpam-6774	105	18	,	,	PUNCT
ejpam-6774	105	19	3	3	NUM
ejpam-6774	105	20	,	,	PUNCT
ejpam-6774	105	21	4	4	NUM
ejpam-6774	105	22	.	.	PUNCT
ejpam-6774	105	23	(	(	PUNCT
ejpam-6774	105	24	14	14	NUM
ejpam-6774	105	25	)	)	PUNCT
ejpam-6774	105	26	by	by	ADP
ejpam-6774	105	27	utilizing	utilize	VERB
ejpam-6774	105	28	the	the	DET
ejpam-6774	105	29	integral	integral	ADJ
ejpam-6774	105	30	on	on	ADP
ejpam-6774	105	31	the	the	DET
ejpam-6774	105	32	system	system	NOUN
ejpam-6774	105	33	(	(	PUNCT
ejpam-6774	105	34	14	14	NUM
ejpam-6774	105	35	)	)	PUNCT
ejpam-6774	105	36	,	,	PUNCT
ejpam-6774	105	37	we	we	PRON
ejpam-6774	105	38	obtain	obtain	VERB
ejpam-6774	105	39	:	:	PUNCT
ejpam-6774	105	40	υi(t	υi(t	NOUN
ejpam-6774	105	41	)	)	PUNCT
ejpam-6774	105	42	=	=	SYM
ejpam-6774	106	1	υi(0	υi(0	X
ejpam-6774	106	2	)	)	PUNCT
ejpam-6774	106	3	+	+	NUM
ejpam-6774	106	4	%	%	X
ejpam-6774	106	5	γ(ξ	γ(ξ	PROPN
ejpam-6774	106	6	)	)	PUNCT
ejpam-6774	106	7	∫	∫	PROPN
ejpam-6774	107	1	t	t	PROPN
ejpam-6774	107	2	0	0	NUM
ejpam-6774	107	3	(	(	PUNCT
ejpam-6774	107	4	t−	t−	PROPN
ejpam-6774	107	5	y)ξ−1	y)ξ−1	PROPN
ejpam-6774	107	6	y%−1	y%−1	PROPN
ejpam-6774	107	7	fi(υ1(y),υ2(y),υ3(y),υ4(y	fi(υ1(y),υ2(y),υ3(y),υ4(y	PROPN
ejpam-6774	107	8	)	)	PUNCT
ejpam-6774	107	9	,	,	PUNCT
ejpam-6774	107	10	y	y	X
ejpam-6774	107	11	)	)	PUNCT
ejpam-6774	107	12	dy	dy	NOUN
ejpam-6774	107	13	,	,	PUNCT
ejpam-6774	107	14	i	i	NOUN
ejpam-6774	107	15	=	=	NOUN
ejpam-6774	107	16	1	1	NUM
ejpam-6774	107	17	,	,	PUNCT
ejpam-6774	107	18	2	2	NUM
ejpam-6774	107	19	,	,	PUNCT
ejpam-6774	107	20	3	3	NUM
ejpam-6774	107	21	,	,	PUNCT
ejpam-6774	107	22	4	4	NUM
ejpam-6774	107	23	,	,	PUNCT
ejpam-6774	107	24	(	(	PUNCT
ejpam-6774	107	25	15	15	NUM
ejpam-6774	107	26	)	)	PUNCT
ejpam-6774	107	27	where	where	SCONJ
ejpam-6774	107	28	fi(υ1(t),υ2(t),υ3(t),υ4(t	fi(υ1(t),υ2(t),υ3(t),υ4(t	NOUN
ejpam-6774	107	29	)	)	PUNCT
ejpam-6774	107	30	,	,	PUNCT
ejpam-6774	107	31	t	t	PROPN
ejpam-6774	107	32	)	)	PUNCT
ejpam-6774	107	33	,	,	PUNCT
ejpam-6774	107	34	are	be	AUX
ejpam-6774	107	35	given	give	VERB
ejpam-6774	107	36	in	in	ADP
ejpam-6774	107	37	(	(	PUNCT
ejpam-6774	107	38	5	5	NUM
ejpam-6774	107	39	)	)	PUNCT
ejpam-6774	107	40	.	.	PUNCT
ejpam-6774	108	1	thus	thus	ADV
ejpam-6774	108	2	,	,	PUNCT
ejpam-6774	108	3	at	at	ADP
ejpam-6774	108	4	t	t	NOUN
ejpam-6774	108	5	=	=	SYM
ejpam-6774	108	6	tn+1	tn+1	NUM
ejpam-6774	108	7	υn+1	υn+1	X
ejpam-6774	108	8	i	i	NOUN
ejpam-6774	108	9	=	=	PROPN
ejpam-6774	108	10	ˆ̄υi	ˆ̄υi	PROPN
ejpam-6774	108	11	+	+	CCONJ
ejpam-6774	108	12	%	%	X
ejpam-6774	108	13	γ(ξ	γ(ξ	PROPN
ejpam-6774	108	14	)	)	PUNCT
ejpam-6774	108	15	∫	∫	PROPN
ejpam-6774	108	16	tn+1	tn+1	PROPN
ejpam-6774	108	17	0	0	NUM
ejpam-6774	108	18	(	(	PUNCT
ejpam-6774	108	19	tn+1	tn+1	NUM
ejpam-6774	108	20	−	−	PROPN
ejpam-6774	108	21	y)ξ−1	y)ξ−1	PROPN
ejpam-6774	108	22	y%−1	y%−1	PROPN
ejpam-6774	108	23	fi(υ1(y),υ2(y),υ3(y),υ4(y	fi(υ1(y),υ2(y),υ3(y),υ4(y	PROPN
ejpam-6774	108	24	)	)	PUNCT
ejpam-6774	108	25	,	,	PUNCT
ejpam-6774	108	26	y	y	X
ejpam-6774	108	27	)	)	PUNCT
ejpam-6774	108	28	dy	dy	NOUN
ejpam-6774	108	29	.	.	PUNCT
ejpam-6774	109	1	(	(	PUNCT
ejpam-6774	109	2	16	16	NUM
ejpam-6774	109	3	)	)	PUNCT
ejpam-6774	109	4	let	let	VERB
ejpam-6774	109	5	us	we	PRON
ejpam-6774	109	6	approximate	approximate	VERB
ejpam-6774	109	7	y%−1	y%−1	PROPN
ejpam-6774	109	8	fi(υ1,υ2,υ3,υ4	fi(υ1,υ2,υ3,υ4	PROPN
ejpam-6774	109	9	,	,	PUNCT
ejpam-6774	109	10	y	y	PROPN
ejpam-6774	109	11	)	)	PUNCT
ejpam-6774	109	12	,	,	PUNCT
ejpam-6774	109	13	as	as	SCONJ
ejpam-6774	109	14	follows	follow	VERB
ejpam-6774	109	15	:	:	PUNCT
ejpam-6774	109	16	lj(y	lj(y	X
ejpam-6774	109	17	)	)	PUNCT
ejpam-6774	110	1	≈	≈	PROPN
ejpam-6774	110	2	y%−1	y%−1	ADJ
ejpam-6774	110	3	fi(υ1,υ2,υ3,υ4	fi(υ1,υ2,υ3,υ4	NOUN
ejpam-6774	110	4	,	,	PUNCT
ejpam-6774	110	5	y	y	NOUN
ejpam-6774	110	6	)	)	PUNCT
ejpam-6774	110	7	=	=	SYM
ejpam-6774	111	1	y	y	PROPN
ejpam-6774	111	2	−	−	PROPN
ejpam-6774	111	3	tj−1	tj−1	PROPN
ejpam-6774	111	4	tj	tj	VERB
ejpam-6774	111	5	−	−	PROPN
ejpam-6774	111	6	tj−1	tj−1	NOUN
ejpam-6774	111	7	t%−1	t%−1	PRON
ejpam-6774	111	8	j	j	PROPN
ejpam-6774	111	9	fi	fi	NOUN
ejpam-6774	111	10	(	(	PUNCT
ejpam-6774	111	11	υ1,υ2,υ3,υ4	υ1,υ2,υ3,υ4	NOUN
ejpam-6774	111	12	,	,	PUNCT
ejpam-6774	111	13	tj)−	tj)−	NOUN
ejpam-6774	111	14	y	y	PROPN
ejpam-6774	111	15	−	−	PROPN
ejpam-6774	111	16	tj	tj	PROPN
ejpam-6774	111	17	tj	tj	PROPN
ejpam-6774	111	18	−	−	PROPN
ejpam-6774	111	19	tj−1	tj−1	NOUN
ejpam-6774	111	20	t%−1	t%−1	PRON
ejpam-6774	111	21	j−1	j−1	PROPN
ejpam-6774	111	22	fi	fi	NOUN
ejpam-6774	111	23	(	(	PUNCT
ejpam-6774	111	24	υ1,υ2,υ3,υ4	υ1,υ2,υ3,υ4	PROPN
ejpam-6774	111	25	,	,	PUNCT
ejpam-6774	111	26	tj−1	tj−1	NOUN
ejpam-6774	111	27	)	)	PUNCT
ejpam-6774	111	28	.	.	PUNCT
ejpam-6774	112	1	(	(	PUNCT
ejpam-6774	112	2	17	17	NUM
ejpam-6774	112	3	)	)	PUNCT
ejpam-6774	112	4	when	when	SCONJ
ejpam-6774	112	5	we	we	PRON
ejpam-6774	112	6	use	use	VERB
ejpam-6774	112	7	the	the	DET
ejpam-6774	112	8	approximation	approximation	NOUN
ejpam-6774	112	9	(	(	PUNCT
ejpam-6774	112	10	17	17	NUM
ejpam-6774	112	11	)	)	PUNCT
ejpam-6774	112	12	in	in	ADP
ejpam-6774	112	13	the	the	DET
ejpam-6774	112	14	first	first	ADJ
ejpam-6774	112	15	equation	equation	NOUN
ejpam-6774	112	16	of	of	ADP
ejpam-6774	112	17	(	(	PUNCT
ejpam-6774	112	18	16	16	NUM
ejpam-6774	112	19	)	)	PUNCT
ejpam-6774	112	20	,	,	PUNCT
ejpam-6774	112	21	respectively	respectively	ADV
ejpam-6774	112	22	,	,	PUNCT
ejpam-6774	112	23	we	we	PRON
ejpam-6774	112	24	get	get	VERB
ejpam-6774	112	25	:	:	PUNCT
ejpam-6774	112	26	υn+1	υn+1	NUM
ejpam-6774	112	27	1	1	NUM
ejpam-6774	112	28	=	=	SYM
ejpam-6774	112	29	ˆ̄υ1	ˆ̄υ1	X
ejpam-6774	112	30	+	+	CCONJ
ejpam-6774	112	31	%	%	ADJ
ejpam-6774	112	32	γ(ξ	γ(ξ	PROPN
ejpam-6774	112	33	)	)	PUNCT
ejpam-6774	113	1	n∑	n∑	PROPN
ejpam-6774	113	2	j=0	j=0	PROPN
ejpam-6774	113	3	∫	∫	PROPN
ejpam-6774	114	1	tj+1	tj+1	PROPN
ejpam-6774	114	2	tj	tj	X
ejpam-6774	114	3	(	(	PUNCT
ejpam-6774	114	4	tn+1	tn+1	PROPN
ejpam-6774	114	5	−	−	PROPN
ejpam-6774	114	6	y)ξ−1	y)ξ−1	PROPN
ejpam-6774	114	7	y%−1	y%−1	PROPN
ejpam-6774	114	8	f1(υ1,υ2,υ3,υ4	f1(υ1,υ2,υ3,υ4	PROPN
ejpam-6774	114	9	,	,	PUNCT
ejpam-6774	114	10	y	y	NOUN
ejpam-6774	114	11	)	)	PUNCT
ejpam-6774	114	12	dy	dy	NOUN
ejpam-6774	114	13	=	=	SYM
ejpam-6774	114	14	ˆ̄υ1	ˆ̄υ1	PROPN
ejpam-6774	114	15	+	+	CCONJ
ejpam-6774	114	16	%	%	ADJ
ejpam-6774	114	17	γ(ξ	γ(ξ	PROPN
ejpam-6774	114	18	)	)	PUNCT
ejpam-6774	114	19	n∑	n∑	PROPN
ejpam-6774	114	20	j=0	j=0	PROPN
ejpam-6774	114	21	∫	∫	PROPN
ejpam-6774	115	1	tj+1	tj+1	PROPN
ejpam-6774	115	2	tj	tj	X
ejpam-6774	115	3	(	(	PUNCT
ejpam-6774	115	4	tn+1	tn+1	PROPN
ejpam-6774	115	5	−	−	PROPN
ejpam-6774	115	6	y)ξ−1	y)ξ−1	PROPN
ejpam-6774	116	1	[	[	PUNCT
ejpam-6774	116	2	y	y	PROPN
ejpam-6774	116	3	−	−	PROPN
ejpam-6774	116	4	tj−1	tj−1	PROPN
ejpam-6774	116	5	tj	tj	VERB
ejpam-6774	116	6	−	−	PROPN
ejpam-6774	116	7	tj−1	tj−1	NOUN
ejpam-6774	116	8	t%−1	t%−1	NOUN
ejpam-6774	116	9	j	j	PROPN
ejpam-6774	116	10	f1	f1	NOUN
ejpam-6774	116	11	(	(	PUNCT
ejpam-6774	116	12	υ1,υ2,υ3,υ4	υ1,υ2,υ3,υ4	PROPN
ejpam-6774	116	13	,	,	PUNCT
ejpam-6774	116	14	tj	tj	NOUN
ejpam-6774	116	15	)	)	PUNCT
ejpam-6774	116	16	−	−	PROPN
ejpam-6774	117	1	y	y	NOUN
ejpam-6774	117	2	−	−	PROPN
ejpam-6774	117	3	tj	tj	PROPN
ejpam-6774	117	4	tj	tj	PROPN
ejpam-6774	117	5	−	−	PROPN
ejpam-6774	117	6	tj−1	tj−1	NOUN
ejpam-6774	117	7	t%−1	t%−1	NOUN
ejpam-6774	117	8	j−1	j−1	PROPN
ejpam-6774	117	9	f1	f1	NOUN
ejpam-6774	117	10	(	(	PUNCT
ejpam-6774	117	11	υ1,υ2,υ3,υ4	υ1,υ2,υ3,υ4	PROPN
ejpam-6774	117	12	,	,	PUNCT
ejpam-6774	117	13	tj−1	tj−1	NOUN
ejpam-6774	117	14	)	)	PUNCT
ejpam-6774	117	15	]	]	PUNCT
ejpam-6774	118	1	dy	dy	NOUN
ejpam-6774	118	2	=	=	SYM
ejpam-6774	118	3	ˆ̄υ1	ˆ̄υ1	PROPN
ejpam-6774	118	4	+	+	CCONJ
ejpam-6774	118	5	%	%	ADJ
ejpam-6774	118	6	γ(ξ	γ(ξ	PROPN
ejpam-6774	118	7	)	)	PUNCT
ejpam-6774	118	8	n∑	n∑	PROPN
ejpam-6774	118	9	j=0	j=0	PROPN
ejpam-6774	118	10	∫	∫	PROPN
ejpam-6774	119	1	tj+1	tj+1	PROPN
ejpam-6774	119	2	tj	tj	X
ejpam-6774	119	3	(	(	PUNCT
ejpam-6774	119	4	tn+1	tn+1	PROPN
ejpam-6774	119	5	−	−	PROPN
ejpam-6774	119	6	y)ξ−1	y)ξ−1	PROPN
ejpam-6774	120	1	[	[	PUNCT
ejpam-6774	120	2	y	y	PROPN
ejpam-6774	120	3	−	−	PROPN
ejpam-6774	120	4	tj−1	tj−1	PROPN
ejpam-6774	120	5	tj	tj	VERB
ejpam-6774	120	6	−	−	PROPN
ejpam-6774	120	7	tj−1	tj−1	NOUN
ejpam-6774	120	8	t%−1	t%−1	NOUN
ejpam-6774	120	9	j	j	PROPN
ejpam-6774	120	10	f1	f1	NOUN
ejpam-6774	120	11	(	(	PUNCT
ejpam-6774	120	12	υ1,υ2,υ3,υ4	υ1,υ2,υ3,υ4	PROPN
ejpam-6774	120	13	,	,	PUNCT
ejpam-6774	120	14	tj	tj	NOUN
ejpam-6774	120	15	)	)	PUNCT
ejpam-6774	120	16	]	]	PUNCT
ejpam-6774	120	17	dy	dy	NOUN
ejpam-6774	120	18	−	−	PROPN
ejpam-6774	120	19	%	%	NOUN
ejpam-6774	120	20	γ(ξ	γ(ξ	PROPN
ejpam-6774	120	21	)	)	PUNCT
ejpam-6774	121	1	n∑	n∑	PROPN
ejpam-6774	121	2	j=0	j=0	PROPN
ejpam-6774	121	3	∫	∫	PROPN
ejpam-6774	122	1	tj+1	tj+1	PROPN
ejpam-6774	122	2	tj	tj	X
ejpam-6774	122	3	(	(	PUNCT
ejpam-6774	122	4	tn+1	tn+1	PROPN
ejpam-6774	122	5	−	−	PROPN
ejpam-6774	122	6	y)ξ−1	y)ξ−1	PROPN
ejpam-6774	123	1	[	[	PUNCT
ejpam-6774	123	2	y	y	NOUN
ejpam-6774	123	3	−	−	PROPN
ejpam-6774	123	4	tj	tj	PROPN
ejpam-6774	123	5	tj	tj	PROPN
ejpam-6774	123	6	−	−	PROPN
ejpam-6774	123	7	tj−1	tj−1	NOUN
ejpam-6774	123	8	t%−1	t%−1	NOUN
ejpam-6774	123	9	j−1	j−1	PROPN
ejpam-6774	123	10	f1	f1	NOUN
ejpam-6774	123	11	(	(	PUNCT
ejpam-6774	123	12	υ1,υ2,υ3,υ4	υ1,υ2,υ3,υ4	PROPN
ejpam-6774	123	13	,	,	PUNCT
ejpam-6774	123	14	tj−1	tj−1	NOUN
ejpam-6774	123	15	)	)	PUNCT
ejpam-6774	123	16	]	]	PUNCT
ejpam-6774	124	1	dy	dy	NOUN
ejpam-6774	124	2	,	,	PUNCT
ejpam-6774	124	3	(	(	PUNCT
ejpam-6774	124	4	18	18	NUM
ejpam-6774	124	5	)	)	PUNCT
ejpam-6774	124	6	m.	m.	NOUN
ejpam-6774	124	7	adel	adel	PROPN
ejpam-6774	124	8	et	et	PROPN
ejpam-6774	124	9	al	al	PROPN
ejpam-6774	124	10	.	.	PUNCT
ejpam-6774	124	11	/	/	SYM
ejpam-6774	124	12	eur	eur	PROPN
ejpam-6774	124	13	.	.	PUNCT
ejpam-6774	125	1	j.	j.	PROPN
ejpam-6774	125	2	pure	pure	PROPN
ejpam-6774	125	3	appl	appl	PROPN
ejpam-6774	125	4	.	.	PROPN
ejpam-6774	125	5	math	math	PROPN
ejpam-6774	125	6	,	,	PUNCT
ejpam-6774	125	7	18	18	NUM
ejpam-6774	125	8	(	(	PUNCT
ejpam-6774	125	9	4	4	NUM
ejpam-6774	125	10	)	)	PUNCT
ejpam-6774	125	11	(	(	PUNCT
ejpam-6774	125	12	2025	2025	NUM
ejpam-6774	125	13	)	)	PUNCT
ejpam-6774	125	14	,	,	PUNCT
ejpam-6774	125	15	6774	6774	NUM
ejpam-6774	125	16	7	7	NUM
ejpam-6774	125	17	of	of	ADP
ejpam-6774	125	18	16	16	NUM
ejpam-6774	125	19	and	and	CCONJ
ejpam-6774	125	20	after	after	ADP
ejpam-6774	125	21	some	some	DET
ejpam-6774	125	22	arrangements	arrangement	NOUN
ejpam-6774	125	23	,	,	PUNCT
ejpam-6774	125	24	we	we	PRON
ejpam-6774	125	25	can	can	AUX
ejpam-6774	125	26	write	write	VERB
ejpam-6774	125	27	:	:	PUNCT
ejpam-6774	125	28	υn+1	υn+1	NUM
ejpam-6774	125	29	1	1	NUM
ejpam-6774	125	30	=	=	SYM
ejpam-6774	125	31	ˆ̄υ1	ˆ̄υ1	NOUN
ejpam-6774	125	32	+	+	CCONJ
ejpam-6774	125	33	%	%	ADJ
ejpam-6774	125	34	γ(ξ	γ(ξ	PROPN
ejpam-6774	125	35	)	)	PUNCT
ejpam-6774	126	1	n∑	n∑	PROPN
ejpam-6774	126	2	j=0	j=0	PROPN
ejpam-6774	126	3	∫	∫	PROPN
ejpam-6774	127	1	tj+1	tj+1	PROPN
ejpam-6774	127	2	tj	tj	X
ejpam-6774	127	3	(	(	PUNCT
ejpam-6774	127	4	tn+1	tn+1	PROPN
ejpam-6774	127	5	−	−	PROPN
ejpam-6774	127	6	y)ξ−1	y)ξ−1	PROPN
ejpam-6774	127	7	(	(	PUNCT
ejpam-6774	127	8	y	y	PROPN
ejpam-6774	127	9	−	−	PROPN
ejpam-6774	127	10	tj−1	tj−1	PROPN
ejpam-6774	127	11	)	)	PUNCT
ejpam-6774	127	12	tj	tj	NOUN
ejpam-6774	127	13	−	−	PROPN
ejpam-6774	127	14	tj−1	tj−1	PROPN
ejpam-6774	127	15	[	[	PUNCT
ejpam-6774	127	16	t%−1	t%−1	NOUN
ejpam-6774	127	17	j	j	PROPN
ejpam-6774	127	18	f1	f1	NOUN
ejpam-6774	127	19	(	(	PUNCT
ejpam-6774	127	20	υ1,υ2,υ3,υ4	υ1,υ2,υ3,υ4	PROPN
ejpam-6774	127	21	,	,	PUNCT
ejpam-6774	127	22	tj	tj	NOUN
ejpam-6774	127	23	)	)	PUNCT
ejpam-6774	127	24	]	]	PUNCT
ejpam-6774	128	1	dy	dy	NOUN
ejpam-6774	128	2	−	−	PROPN
ejpam-6774	128	3	%	%	NOUN
ejpam-6774	128	4	γ(ξ	γ(ξ	PROPN
ejpam-6774	128	5	)	)	PUNCT
ejpam-6774	129	1	n∑	n∑	PROPN
ejpam-6774	129	2	j=0	j=0	PROPN
ejpam-6774	129	3	∫	∫	PROPN
ejpam-6774	130	1	tj+1	tj+1	PROPN
ejpam-6774	130	2	tj	tj	X
ejpam-6774	130	3	(	(	PUNCT
ejpam-6774	130	4	tn+1	tn+1	PROPN
ejpam-6774	130	5	−	−	PROPN
ejpam-6774	130	6	y)ξ−1	y)ξ−1	PROPN
ejpam-6774	130	7	(	(	PUNCT
ejpam-6774	130	8	y	y	PROPN
ejpam-6774	130	9	−	−	PROPN
ejpam-6774	130	10	tj	tj	PROPN
ejpam-6774	130	11	)	)	PUNCT
ejpam-6774	130	12	tj	tj	NOUN
ejpam-6774	130	13	−	−	PROPN
ejpam-6774	130	14	tj−1	tj−1	PROPN
ejpam-6774	130	15	[	[	PUNCT
ejpam-6774	130	16	t%−1	t%−1	ADJ
ejpam-6774	130	17	j−1	j−1	PROPN
ejpam-6774	130	18	f1	f1	NOUN
ejpam-6774	130	19	(	(	PUNCT
ejpam-6774	130	20	υ1,υ2,υ3,υ4	υ1,υ2,υ3,υ4	PROPN
ejpam-6774	130	21	,	,	PUNCT
ejpam-6774	130	22	tj−1	tj−1	NOUN
ejpam-6774	130	23	)	)	PUNCT
ejpam-6774	130	24	]	]	PUNCT
ejpam-6774	131	1	dy	dy	NOUN
ejpam-6774	131	2	=	=	SYM
ejpam-6774	131	3	ˆ̄υ1	ˆ̄υ1	PROPN
ejpam-6774	131	4	+	+	CCONJ
ejpam-6774	131	5	%	%	ADJ
ejpam-6774	131	6	γ(ξ	γ(ξ	PROPN
ejpam-6774	131	7	)	)	PUNCT
ejpam-6774	131	8	n∑	n∑	PROPN
ejpam-6774	131	9	j=0	j=0	PROPN
ejpam-6774	131	10	i1	i1	PROPN
ejpam-6774	131	11	−	−	PROPN
ejpam-6774	131	12	%	%	PROPN
ejpam-6774	131	13	γ(ξ	γ(ξ	PROPN
ejpam-6774	131	14	)	)	PUNCT
ejpam-6774	131	15	n∑	n∑	PROPN
ejpam-6774	131	16	j=0	j=0	PROPN
ejpam-6774	131	17	i2	i2	PROPN
ejpam-6774	131	18	,	,	PUNCT
ejpam-6774	131	19	(	(	PUNCT
ejpam-6774	131	20	19	19	NUM
ejpam-6774	131	21	)	)	PUNCT
ejpam-6774	131	22	where	where	SCONJ
ejpam-6774	131	23	i1	i1	PROPN
ejpam-6774	131	24	=	=	PUNCT
ejpam-6774	131	25	∫	∫	PROPN
ejpam-6774	132	1	tj+1	tj+1	PROPN
ejpam-6774	132	2	tj	tj	X
ejpam-6774	132	3	(	(	PUNCT
ejpam-6774	132	4	tn+1	tn+1	PROPN
ejpam-6774	132	5	−	−	PROPN
ejpam-6774	133	1	y)ξ−1	y)ξ−1	PROPN
ejpam-6774	134	1	(	(	PUNCT
ejpam-6774	134	2	y	y	PROPN
ejpam-6774	134	3	−	−	PROPN
ejpam-6774	134	4	tj−1	tj−1	PROPN
ejpam-6774	134	5	)	)	PUNCT
ejpam-6774	134	6	tj	tj	NOUN
ejpam-6774	134	7	−	−	PROPN
ejpam-6774	134	8	tj−1	tj−1	PROPN
ejpam-6774	134	9	[	[	PUNCT
ejpam-6774	134	10	t%−1	t%−1	NOUN
ejpam-6774	134	11	j	j	PROPN
ejpam-6774	134	12	f1	f1	NOUN
ejpam-6774	134	13	(	(	PUNCT
ejpam-6774	134	14	υ1,υ2,υ3,υ4	υ1,υ2,υ3,υ4	PROPN
ejpam-6774	134	15	,	,	PUNCT
ejpam-6774	134	16	tj	tj	NOUN
ejpam-6774	134	17	)	)	PUNCT
ejpam-6774	134	18	]	]	PUNCT
ejpam-6774	135	1	dy	dy	NOUN
ejpam-6774	135	2	,	,	PUNCT
ejpam-6774	135	3	=	=	PUNCT
ejpam-6774	135	4	t%−1	t%−1	X
ejpam-6774	135	5	j	j	NOUN
ejpam-6774	135	6	hξ	hξ	ADP
ejpam-6774	135	7	ξ(ξ	ξ(ξ	PROPN
ejpam-6774	135	8	+	+	CCONJ
ejpam-6774	135	9	1	1	NUM
ejpam-6774	135	10	)	)	PUNCT
ejpam-6774	135	11	f1	f1	NOUN
ejpam-6774	135	12	(	(	PUNCT
ejpam-6774	135	13	υ1,υ2,υ3,υ4	υ1,υ2,υ3,υ4	PROPN
ejpam-6774	135	14	,	,	PUNCT
ejpam-6774	135	15	tj	tj	NOUN
ejpam-6774	135	16	)	)	PUNCT
ejpam-6774	135	17	{	{	PUNCT
ejpam-6774	135	18	(	(	PUNCT
ejpam-6774	135	19	n−	n−	NOUN
ejpam-6774	135	20	j	j	NOUN
ejpam-6774	135	21	+	+	CCONJ
ejpam-6774	135	22	1)ξ(ξ	1)ξ(ξ	NUM
ejpam-6774	135	23	+	+	NUM
ejpam-6774	135	24	n−	n−	NOUN
ejpam-6774	135	25	j	j	PROPN
ejpam-6774	135	26	+	+	X
ejpam-6774	135	27	2)−	2)−	NUM
ejpam-6774	135	28	(	(	PUNCT
ejpam-6774	135	29	n−	n−	NOUN
ejpam-6774	135	30	j)ξ(2ξ	j)ξ(2ξ	PROPN
ejpam-6774	135	31	+	+	NUM
ejpam-6774	135	32	n−	n−	PROPN
ejpam-6774	135	33	j	j	NOUN
ejpam-6774	135	34	+	+	CCONJ
ejpam-6774	135	35	2	2	NUM
ejpam-6774	135	36	)	)	PUNCT
ejpam-6774	135	37	}	}	PUNCT
ejpam-6774	135	38	,	,	PUNCT
ejpam-6774	135	39	i2	i2	PROPN
ejpam-6774	135	40	=	=	SYM
ejpam-6774	135	41	∫	∫	PROPN
ejpam-6774	136	1	tj+1	tj+1	PROPN
ejpam-6774	136	2	tj	tj	X
ejpam-6774	136	3	(	(	PUNCT
ejpam-6774	136	4	tn+1	tn+1	PROPN
ejpam-6774	136	5	−	−	PROPN
ejpam-6774	137	1	y)ξ−1	y)ξ−1	PROPN
ejpam-6774	138	1	(	(	PUNCT
ejpam-6774	138	2	y	y	PROPN
ejpam-6774	138	3	−	−	PROPN
ejpam-6774	138	4	tj	tj	PROPN
ejpam-6774	138	5	)	)	PUNCT
ejpam-6774	138	6	tj	tj	NOUN
ejpam-6774	138	7	−	−	PROPN
ejpam-6774	138	8	tj−1	tj−1	PROPN
ejpam-6774	138	9	[	[	PUNCT
ejpam-6774	138	10	t%−1	t%−1	ADJ
ejpam-6774	138	11	j−1	j−1	PROPN
ejpam-6774	138	12	f1	f1	NOUN
ejpam-6774	138	13	(	(	PUNCT
ejpam-6774	138	14	υ1,υ2,υ3,υ4	υ1,υ2,υ3,υ4	PROPN
ejpam-6774	138	15	,	,	PUNCT
ejpam-6774	138	16	tj−1	tj−1	NOUN
ejpam-6774	138	17	)	)	PUNCT
ejpam-6774	138	18	]	]	PUNCT
ejpam-6774	138	19	dy	dy	NOUN
ejpam-6774	138	20	=	=	PUNCT
ejpam-6774	138	21	t%−1	t%−1	X
ejpam-6774	138	22	j−1	j−1	PROPN
ejpam-6774	138	23	h	h	NOUN
ejpam-6774	138	24	ξ	ξ	X
ejpam-6774	139	1	ξ(ξ	ξ(ξ	NOUN
ejpam-6774	139	2	+	+	CCONJ
ejpam-6774	139	3	1	1	NUM
ejpam-6774	139	4	)	)	PUNCT
ejpam-6774	139	5	f1	f1	NOUN
ejpam-6774	139	6	(	(	PUNCT
ejpam-6774	139	7	υ1,υ2,υ3,υ4	υ1,υ2,υ3,υ4	PROPN
ejpam-6774	139	8	,	,	PUNCT
ejpam-6774	139	9	tj−1	tj−1	PROPN
ejpam-6774	139	10	)	)	PUNCT
ejpam-6774	139	11	{	{	PUNCT
ejpam-6774	139	12	(	(	PUNCT
ejpam-6774	139	13	n−	n−	NOUN
ejpam-6774	139	14	j	j	NOUN
ejpam-6774	139	15	+	+	CCONJ
ejpam-6774	139	16	1)ξ+1	1)ξ+1	NUM
ejpam-6774	139	17	−	−	NOUN
ejpam-6774	139	18	(	(	PUNCT
ejpam-6774	139	19	n−	n−	NOUN
ejpam-6774	139	20	j)ξ(ξ	j)ξ(ξ	NOUN
ejpam-6774	139	21	+	+	CCONJ
ejpam-6774	139	22	n−	n−	PROPN
ejpam-6774	139	23	j	j	NOUN
ejpam-6774	139	24	+	+	CCONJ
ejpam-6774	139	25	1	1	NUM
ejpam-6774	139	26	)	)	PUNCT
ejpam-6774	139	27	}	}	PUNCT
ejpam-6774	139	28	.	.	PUNCT
ejpam-6774	140	1	(	(	PUNCT
ejpam-6774	140	2	20	20	NUM
ejpam-6774	140	3	)	)	PUNCT
ejpam-6774	140	4	the	the	DET
ejpam-6774	140	5	details	detail	NOUN
ejpam-6774	140	6	of	of	ADP
ejpam-6774	140	7	the	the	DET
ejpam-6774	140	8	derivation	derivation	NOUN
ejpam-6774	140	9	the	the	DET
ejpam-6774	140	10	formula	formula	NOUN
ejpam-6774	140	11	given	give	VERB
ejpam-6774	140	12	in	in	ADP
ejpam-6774	140	13	(	(	PUNCT
ejpam-6774	140	14	20	20	NUM
ejpam-6774	140	15	)	)	PUNCT
ejpam-6774	140	16	can	can	AUX
ejpam-6774	140	17	be	be	AUX
ejpam-6774	140	18	found	find	VERB
ejpam-6774	140	19	in	in	ADP
ejpam-6774	140	20	[	[	X
ejpam-6774	140	21	22	22	NUM
ejpam-6774	140	22	]	]	PUNCT
ejpam-6774	140	23	.	.	PUNCT
ejpam-6774	141	1	now	now	ADV
ejpam-6774	141	2	,	,	PUNCT
ejpam-6774	141	3	using	use	VERB
ejpam-6774	141	4	i1	i1	PROPN
ejpam-6774	141	5	and	and	CCONJ
ejpam-6774	141	6	i2	i2	PROPN
ejpam-6774	141	7	in	in	ADP
ejpam-6774	141	8	(	(	PUNCT
ejpam-6774	141	9	19	19	NUM
ejpam-6774	141	10	)	)	PUNCT
ejpam-6774	141	11	,	,	PUNCT
ejpam-6774	141	12	and	and	CCONJ
ejpam-6774	141	13	general	general	ADJ
ejpam-6774	141	14	for	for	ADP
ejpam-6774	141	15	all	all	DET
ejpam-6774	141	16	components	component	NOUN
ejpam-6774	141	17	of	of	ADP
ejpam-6774	141	18	the	the	DET
ejpam-6774	141	19	system	system	NOUN
ejpam-6774	141	20	(	(	PUNCT
ejpam-6774	141	21	υn+1	υn+1	VERB
ejpam-6774	141	22	i	i	PRON
ejpam-6774	141	23	,	,	PUNCT
ejpam-6774	141	24	i	i	PRON
ejpam-6774	141	25	=	=	NOUN
ejpam-6774	141	26	1	1	NUM
ejpam-6774	141	27	,	,	PUNCT
ejpam-6774	141	28	2	2	NUM
ejpam-6774	141	29	,	,	PUNCT
ejpam-6774	141	30	3	3	NUM
ejpam-6774	141	31	,	,	PUNCT
ejpam-6774	141	32	4	4	NUM
ejpam-6774	141	33	)	)	PUNCT
ejpam-6774	141	34	,	,	PUNCT
ejpam-6774	141	35	the	the	DET
ejpam-6774	141	36	model	model	NOUN
ejpam-6774	141	37	defined	define	VERB
ejpam-6774	141	38	in	in	ADP
ejpam-6774	141	39	(	(	PUNCT
ejpam-6774	141	40	16	16	NUM
ejpam-6774	141	41	)	)	PUNCT
ejpam-6774	141	42	converts	convert	NOUN
ejpam-6774	141	43	to	to	ADP
ejpam-6774	141	44	the	the	DET
ejpam-6774	141	45	following	follow	VERB
ejpam-6774	141	46	system	system	NOUN
ejpam-6774	141	47	of	of	ADP
ejpam-6774	141	48	algebraic	algebraic	ADJ
ejpam-6774	141	49	equations	equation	NOUN
ejpam-6774	141	50	(	(	PUNCT
ejpam-6774	141	51	for	for	ADP
ejpam-6774	141	52	i	i	PRON
ejpam-6774	141	53	=	=	SYM
ejpam-6774	141	54	1	1	NUM
ejpam-6774	141	55	,	,	PUNCT
ejpam-6774	141	56	2	2	NUM
ejpam-6774	141	57	,	,	PUNCT
ejpam-6774	141	58	3	3	NUM
ejpam-6774	141	59	,	,	PUNCT
ejpam-6774	141	60	4	4	NUM
ejpam-6774	141	61	):	):	PUNCT
ejpam-6774	141	62	υn+1	υn+1	VERB
ejpam-6774	142	1	i	i	PRON
ejpam-6774	142	2	=	=	NOUN
ejpam-6774	143	1	%	%	INTJ
ejpam-6774	143	2	hξ	hξ	X
ejpam-6774	143	3	γ(ξ	γ(ξ	PROPN
ejpam-6774	143	4	+	+	CCONJ
ejpam-6774	144	1	2	2	X
ejpam-6774	144	2	)	)	PUNCT
ejpam-6774	144	3	n∑	n∑	NOUN
ejpam-6774	144	4	j=0	j=0	PROPN
ejpam-6774	144	5	t%−1	t%−1	PROPN
ejpam-6774	144	6	j	j	PROPN
ejpam-6774	144	7	fi	fi	NOUN
ejpam-6774	144	8	(	(	PUNCT
ejpam-6774	144	9	υ1,υ2,υ3,υ4	υ1,υ2,υ3,υ4	PROPN
ejpam-6774	144	10	,	,	PUNCT
ejpam-6774	144	11	tj	tj	NOUN
ejpam-6774	144	12	)	)	PUNCT
ejpam-6774	144	13	{	{	PUNCT
ejpam-6774	144	14	(	(	PUNCT
ejpam-6774	144	15	n−	n−	NOUN
ejpam-6774	144	16	j	j	NOUN
ejpam-6774	144	17	+	+	CCONJ
ejpam-6774	144	18	1)ξ(ξ	1)ξ(ξ	NUM
ejpam-6774	144	19	+	+	NUM
ejpam-6774	144	20	n−	n−	NOUN
ejpam-6774	144	21	j	j	PROPN
ejpam-6774	145	1	+	+	X
ejpam-6774	145	2	2)−	2)−	NUM
ejpam-6774	145	3	(	(	PUNCT
ejpam-6774	145	4	n−	n−	NOUN
ejpam-6774	145	5	j)ξ(2ξ	j)ξ(2ξ	PROPN
ejpam-6774	145	6	+	+	NUM
ejpam-6774	145	7	n−	n−	PROPN
ejpam-6774	145	8	j	j	NOUN
ejpam-6774	145	9	+	+	CCONJ
ejpam-6774	145	10	2	2	NUM
ejpam-6774	145	11	)	)	PUNCT
ejpam-6774	145	12	}	}	PUNCT
ejpam-6774	145	13	−	−	NUM
ejpam-6774	145	14	%	%	INTJ
ejpam-6774	145	15	hξ	hξ	X
ejpam-6774	145	16	γ(ξ	γ(ξ	PROPN
ejpam-6774	145	17	+	+	CCONJ
ejpam-6774	145	18	2	2	X
ejpam-6774	145	19	)	)	PUNCT
ejpam-6774	145	20	n∑	n∑	NOUN
ejpam-6774	145	21	j=0	j=0	PROPN
ejpam-6774	145	22	t%−1	t%−1	X
ejpam-6774	145	23	j−1	j−1	PROPN
ejpam-6774	145	24	fi	fi	NOUN
ejpam-6774	145	25	(	(	PUNCT
ejpam-6774	145	26	υ1,υ2,υ3,υ4	υ1,υ2,υ3,υ4	PROPN
ejpam-6774	145	27	,	,	PUNCT
ejpam-6774	145	28	tj−1	tj−1	NOUN
ejpam-6774	145	29	)	)	PUNCT
ejpam-6774	145	30	{	{	PUNCT
ejpam-6774	145	31	(	(	PUNCT
ejpam-6774	145	32	n−	n−	NOUN
ejpam-6774	145	33	j	j	NOUN
ejpam-6774	145	34	+	+	CCONJ
ejpam-6774	145	35	1)ξ+1	1)ξ+1	NUM
ejpam-6774	145	36	−	−	NOUN
ejpam-6774	145	37	(	(	PUNCT
ejpam-6774	145	38	n−	n−	NOUN
ejpam-6774	145	39	j)ξ(ξ	j)ξ(ξ	NOUN
ejpam-6774	145	40	+	+	CCONJ
ejpam-6774	145	41	n−	n−	PROPN
ejpam-6774	145	42	j	j	NOUN
ejpam-6774	145	43	+	+	CCONJ
ejpam-6774	145	44	1	1	NUM
ejpam-6774	145	45	)	)	PUNCT
ejpam-6774	145	46	}	}	PUNCT
ejpam-6774	146	1	+	+	CCONJ
ejpam-6774	146	2	ˆ̄υi	ˆ̄υi	PROPN
ejpam-6774	146	3	.	.	PUNCT
ejpam-6774	147	1	(	(	PUNCT
ejpam-6774	147	2	21	21	NUM
ejpam-6774	147	3	)	)	PUNCT
ejpam-6774	147	4	4.1.1	4.1.1	NUM
ejpam-6774	147	5	.	.	PUNCT
ejpam-6774	148	1	optimal	optimal	ADJ
ejpam-6774	148	2	control	control	NOUN
ejpam-6774	148	3	of	of	ADP
ejpam-6774	148	4	banks	bank	NOUN
ejpam-6774	148	5	’	'	PUNCT
ejpam-6774	148	6	profits	profit	NOUN
ejpam-6774	148	7	recently	recently	ADV
ejpam-6774	148	8	,	,	PUNCT
ejpam-6774	148	9	a	a	DET
ejpam-6774	148	10	wide	wide	ADJ
ejpam-6774	148	11	variety	variety	NOUN
ejpam-6774	148	12	of	of	ADP
ejpam-6774	148	13	issues	issue	NOUN
ejpam-6774	148	14	have	have	AUX
ejpam-6774	148	15	been	be	AUX
ejpam-6774	148	16	successfully	successfully	ADV
ejpam-6774	148	17	addressed	address	VERB
ejpam-6774	148	18	by	by	ADP
ejpam-6774	148	19	the	the	DET
ejpam-6774	148	20	optimal	optimal	ADJ
ejpam-6774	148	21	control	control	NOUN
ejpam-6774	148	22	theory	theory	NOUN
ejpam-6774	148	23	in	in	ADP
ejpam-6774	148	24	practical	practical	ADJ
ejpam-6774	148	25	applications	application	NOUN
ejpam-6774	148	26	[	[	X
ejpam-6774	148	27	23	23	NUM
ejpam-6774	148	28	]	]	PUNCT
ejpam-6774	148	29	.	.	PUNCT
ejpam-6774	149	1	an	an	DET
ejpam-6774	149	2	intriguing	intriguing	ADJ
ejpam-6774	149	3	question	question	NOUN
ejpam-6774	149	4	that	that	PRON
ejpam-6774	149	5	arises	arise	VERB
ejpam-6774	149	6	in	in	ADP
ejpam-6774	149	7	our	our	PRON
ejpam-6774	149	8	present	present	ADJ
ejpam-6774	149	9	bcm	bcm	NOUN
ejpam-6774	149	10	is	be	AUX
ejpam-6774	149	11	how	how	SCONJ
ejpam-6774	149	12	to	to	PART
ejpam-6774	149	13	affect	affect	VERB
ejpam-6774	149	14	the	the	DET
ejpam-6774	149	15	profits	profit	NOUN
ejpam-6774	149	16	of	of	ADP
ejpam-6774	149	17	the	the	DET
ejpam-6774	149	18	given	give	VERB
ejpam-6774	149	19	competition	competition	NOUN
ejpam-6774	149	20	model	model	NOUN
ejpam-6774	149	21	(	(	PUNCT
ejpam-6774	149	22	2	2	NUM
ejpam-6774	149	23	)	)	PUNCT
ejpam-6774	149	24	by	by	ADP
ejpam-6774	149	25	selecting	select	VERB
ejpam-6774	149	26	an	an	DET
ejpam-6774	149	27	effective	effective	ADJ
ejpam-6774	149	28	mechanism	mechanism	NOUN
ejpam-6774	149	29	to	to	PART
ejpam-6774	149	30	guide	guide	VERB
ejpam-6774	149	31	the	the	DET
ejpam-6774	149	32	model	model	NOUN
ejpam-6774	149	33	from	from	ADP
ejpam-6774	149	34	(	(	PUNCT
ejpam-6774	149	35	υ1(0	υ1(0	PROPN
ejpam-6774	149	36	)	)	PUNCT
ejpam-6774	149	37	,	,	PUNCT
ejpam-6774	149	38	υ2(0	υ2(0	PROPN
ejpam-6774	149	39	)	)	PUNCT
ejpam-6774	149	40	,	,	PUNCT
ejpam-6774	149	41	υ3(0	υ3(0	PROPN
ejpam-6774	149	42	)	)	PUNCT
ejpam-6774	149	43	,	,	PUNCT
ejpam-6774	149	44	υ4(0	υ4(0	NOUN
ejpam-6774	149	45	)	)	PUNCT
ejpam-6774	149	46	)	)	PUNCT
ejpam-6774	149	47	to	to	ADP
ejpam-6774	149	48	a	a	DET
ejpam-6774	149	49	desired	desire	VERB
ejpam-6774	149	50	final	final	ADJ
ejpam-6774	149	51	state	state	NOUN
ejpam-6774	149	52	(	(	PUNCT
ejpam-6774	149	53	υ1(tf	υ1(tf	PROPN
ejpam-6774	149	54	)	)	PUNCT
ejpam-6774	149	55	,	,	PUNCT
ejpam-6774	149	56	υ2(tf	υ2(tf	PROPN
ejpam-6774	149	57	)	)	PUNCT
ejpam-6774	149	58	,	,	PUNCT
ejpam-6774	149	59	υ3(tf	υ3(tf	PROPN
ejpam-6774	149	60	)	)	PUNCT
ejpam-6774	149	61	,	,	PUNCT
ejpam-6774	149	62	υ4(tf	υ4(tf	PROPN
ejpam-6774	149	63	)	)	PUNCT
ejpam-6774	149	64	)	)	PUNCT
ejpam-6774	149	65	in	in	ADP
ejpam-6774	149	66	time	time	NOUN
ejpam-6774	149	67	tf	tf	X
ejpam-6774	149	68	.	.	PUNCT
ejpam-6774	150	1	this	this	DET
ejpam-6774	150	2	prefix	prefix	NOUN
ejpam-6774	150	3	objective	objective	NOUN
ejpam-6774	150	4	is	be	AUX
ejpam-6774	150	5	profit	profit	NOUN
ejpam-6774	150	6	maximization	maximization	NOUN
ejpam-6774	150	7	.	.	PUNCT
ejpam-6774	151	1	to	to	PART
ejpam-6774	151	2	do	do	VERB
ejpam-6774	151	3	this	this	PRON
ejpam-6774	151	4	,	,	PUNCT
ejpam-6774	151	5	let	let	VERB
ejpam-6774	151	6	’s	’s	PRON
ejpam-6774	151	7	look	look	VERB
ejpam-6774	151	8	at	at	ADP
ejpam-6774	151	9	the	the	DET
ejpam-6774	151	10	system	system	NOUN
ejpam-6774	151	11	below	below	ADV
ejpam-6774	151	12	:	:	PUNCT
ejpam-6774	152	1	ffpdξ,%υi(t	ffpdξ,%υi(t	NOUN
ejpam-6774	152	2	)	)	PUNCT
ejpam-6774	152	3	=	=	SYM
ejpam-6774	152	4	αiυi(t	αiυi(t	PROPN
ejpam-6774	152	5	)	)	PUNCT
ejpam-6774	152	6	(	(	PUNCT
ejpam-6774	152	7	1−	1−	NUM
ejpam-6774	152	8	β−1	β−1	PUNCT
ejpam-6774	152	9	i	i	PRON
ejpam-6774	152	10	υi(t	υi(t	NOUN
ejpam-6774	152	11	)	)	PUNCT
ejpam-6774	152	12	)	)	PUNCT
ejpam-6774	153	1	−	−	ADP
ejpam-6774	153	2	δi	δi	PROPN
ejpam-6774	153	3	n̄[υ1	n̄[υ1	ADJ
ejpam-6774	153	4	,	,	PUNCT
ejpam-6774	153	5	υ2	υ2	NOUN
ejpam-6774	153	6	,	,	PUNCT
ejpam-6774	153	7	υ3	υ3	NOUN
ejpam-6774	153	8	,	,	PUNCT
ejpam-6774	153	9	υ4]−	υ4]−	PRON
ejpam-6774	153	10	εioc(t)υi(t	εioc(t)υi(t	PROPN
ejpam-6774	153	11	)	)	PUNCT
ejpam-6774	153	12	.	.	PUNCT
ejpam-6774	154	1	(	(	PUNCT
ejpam-6774	154	2	22	22	NUM
ejpam-6774	154	3	)	)	PUNCT
ejpam-6774	154	4	m.	m.	NOUN
ejpam-6774	154	5	adel	adel	PROPN
ejpam-6774	154	6	et	et	PROPN
ejpam-6774	154	7	al	al	PROPN
ejpam-6774	154	8	.	.	PUNCT
ejpam-6774	154	9	/	/	SYM
ejpam-6774	154	10	eur	eur	PROPN
ejpam-6774	154	11	.	.	PUNCT
ejpam-6774	155	1	j.	j.	PROPN
ejpam-6774	155	2	pure	pure	PROPN
ejpam-6774	155	3	appl	appl	PROPN
ejpam-6774	155	4	.	.	PROPN
ejpam-6774	155	5	math	math	PROPN
ejpam-6774	155	6	,	,	PUNCT
ejpam-6774	155	7	18	18	NUM
ejpam-6774	155	8	(	(	PUNCT
ejpam-6774	155	9	4	4	NUM
ejpam-6774	155	10	)	)	PUNCT
ejpam-6774	155	11	(	(	PUNCT
ejpam-6774	155	12	2025	2025	NUM
ejpam-6774	155	13	)	)	PUNCT
ejpam-6774	155	14	,	,	PUNCT
ejpam-6774	155	15	6774	6774	NUM
ejpam-6774	155	16	8	8	NUM
ejpam-6774	155	17	of	of	ADP
ejpam-6774	155	18	16	16	NUM
ejpam-6774	155	19	with	with	ADP
ejpam-6774	155	20	the	the	DET
ejpam-6774	155	21	same	same	ADJ
ejpam-6774	155	22	previous	previous	ADJ
ejpam-6774	155	23	initial	initial	ADJ
ejpam-6774	155	24	conditions	condition	NOUN
ejpam-6774	155	25	.	.	PUNCT
ejpam-6774	156	1	where	where	SCONJ
ejpam-6774	156	2	εi	εi	ADP
ejpam-6774	156	3	=	=	SYM
ejpam-6774	156	4	1	1	NUM
ejpam-6774	156	5	,	,	PUNCT
ejpam-6774	156	6	i	i	PRON
ejpam-6774	156	7	=	=	NOUN
ejpam-6774	156	8	1	1	NUM
ejpam-6774	156	9	,	,	PUNCT
ejpam-6774	156	10	2	2	NUM
ejpam-6774	156	11	,	,	PUNCT
ejpam-6774	156	12	3	3	NUM
ejpam-6774	156	13	,	,	PUNCT
ejpam-6774	156	14	4	4	NUM
ejpam-6774	156	15	indicates	indicate	VERB
ejpam-6774	156	16	that	that	SCONJ
ejpam-6774	156	17	there	there	PRON
ejpam-6774	156	18	are	be	VERB
ejpam-6774	156	19	no	no	DET
ejpam-6774	156	20	investment	investment	NOUN
ejpam-6774	156	21	limits	limit	NOUN
ejpam-6774	156	22	because	because	SCONJ
ejpam-6774	156	23	the	the	DET
ejpam-6774	156	24	constants	constant	NOUN
ejpam-6774	156	25	εk	εk	VERB
ejpam-6774	156	26	,	,	PUNCT
ejpam-6774	156	27	k	k	PROPN
ejpam-6774	156	28	=	=	SYM
ejpam-6774	156	29	1	1	NUM
ejpam-6774	156	30	,	,	PUNCT
ejpam-6774	156	31	2	2	NUM
ejpam-6774	156	32	,	,	PUNCT
ejpam-6774	156	33	3	3	NUM
ejpam-6774	156	34	,	,	PUNCT
ejpam-6774	156	35	4	4	NUM
ejpam-6774	156	36	reflect	reflect	VERB
ejpam-6774	156	37	the	the	DET
ejpam-6774	156	38	maximum	maximum	ADJ
ejpam-6774	156	39	level	level	NOUN
ejpam-6774	156	40	of	of	ADP
ejpam-6774	156	41	investment	investment	NOUN
ejpam-6774	156	42	by	by	ADP
ejpam-6774	156	43	the	the	DET
ejpam-6774	156	44	four	four	NUM
ejpam-6774	156	45	bank	bank	NOUN
ejpam-6774	156	46	categories	category	NOUN
ejpam-6774	156	47	.	.	PUNCT
ejpam-6774	157	1	for	for	ADP
ejpam-6774	157	2	that	that	DET
ejpam-6774	157	3	matter	matter	NOUN
ejpam-6774	157	4	,	,	PUNCT
ejpam-6774	157	5	oc(t	oc(t	X
ejpam-6774	157	6	)	)	PUNCT
ejpam-6774	157	7	∈	∈	PROPN
ejpam-6774	157	8	l2[0	l2[0	PROPN
ejpam-6774	157	9	,	,	PUNCT
ejpam-6774	157	10	tf	tf	X
ejpam-6774	157	11	]	]	PUNCT
ejpam-6774	157	12	is	be	AUX
ejpam-6774	157	13	the	the	DET
ejpam-6774	157	14	control	control	NOUN
ejpam-6774	157	15	parameter	parameter	NOUN
ejpam-6774	157	16	that	that	PRON
ejpam-6774	157	17	indicates	indicate	VERB
ejpam-6774	157	18	how	how	SCONJ
ejpam-6774	157	19	much	much	ADJ
ejpam-6774	157	20	profit	profit	NOUN
ejpam-6774	157	21	from	from	ADP
ejpam-6774	157	22	each	each	DET
ejpam-6774	157	23	population	population	NOUN
ejpam-6774	157	24	is	be	AUX
ejpam-6774	157	25	either	either	CCONJ
ejpam-6774	157	26	retained	retain	VERB
ejpam-6774	157	27	by	by	ADP
ejpam-6774	157	28	the	the	DET
ejpam-6774	157	29	bank	bank	NOUN
ejpam-6774	157	30	for	for	ADP
ejpam-6774	157	31	market	market	NOUN
ejpam-6774	157	32	reinvestment	reinvestment	NOUN
ejpam-6774	157	33	.	.	PUNCT
ejpam-6774	158	1	the	the	DET
ejpam-6774	158	2	best	good	ADJ
ejpam-6774	158	3	choice	choice	NOUN
ejpam-6774	158	4	of	of	ADP
ejpam-6774	158	5	this	this	DET
ejpam-6774	158	6	function	function	NOUN
ejpam-6774	158	7	can	can	AUX
ejpam-6774	158	8	be	be	AUX
ejpam-6774	158	9	derived	derive	VERB
ejpam-6774	158	10	and	and	CCONJ
ejpam-6774	158	11	obtained	obtain	VERB
ejpam-6774	158	12	through	through	ADP
ejpam-6774	158	13	theorem	theorem	NOUN
ejpam-6774	158	14	4	4	NUM
ejpam-6774	158	15	in	in	ADP
ejpam-6774	158	16	[	[	X
ejpam-6774	158	17	8	8	NUM
ejpam-6774	158	18	]	]	PUNCT
ejpam-6774	158	19	.	.	PUNCT
ejpam-6774	159	1	for	for	ADP
ejpam-6774	159	2	this	this	DET
ejpam-6774	159	3	type	type	NOUN
ejpam-6774	159	4	of	of	ADP
ejpam-6774	159	5	problem	problem	NOUN
ejpam-6774	159	6	,	,	PUNCT
ejpam-6774	159	7	the	the	DET
ejpam-6774	159	8	majority	majority	NOUN
ejpam-6774	159	9	of	of	ADP
ejpam-6774	159	10	the	the	DET
ejpam-6774	159	11	current	current	ADJ
ejpam-6774	159	12	numerical	numerical	ADJ
ejpam-6774	159	13	approaches	approach	NOUN
ejpam-6774	159	14	converge	converge	VERB
ejpam-6774	159	15	slowly	slowly	ADV
ejpam-6774	159	16	,	,	PUNCT
ejpam-6774	159	17	leading	lead	VERB
ejpam-6774	159	18	to	to	ADP
ejpam-6774	159	19	imprecise	imprecise	ADJ
ejpam-6774	159	20	approximations	approximation	NOUN
ejpam-6774	159	21	[	[	X
ejpam-6774	159	22	24	24	NUM
ejpam-6774	159	23	]	]	PUNCT
ejpam-6774	159	24	.	.	PUNCT
ejpam-6774	160	1	4.2	4.2	NUM
ejpam-6774	160	2	.	.	PUNCT
ejpam-6774	161	1	the	the	DET
ejpam-6774	161	2	brusselator	brusselator	NOUN
ejpam-6774	161	3	system	system	NOUN
ejpam-6774	161	4	in	in	ADP
ejpam-6774	161	5	the	the	DET
ejpam-6774	161	6	same	same	ADJ
ejpam-6774	161	7	manner	manner	NOUN
ejpam-6774	161	8	as	as	ADP
ejpam-6774	161	9	in	in	ADP
ejpam-6774	161	10	the	the	DET
ejpam-6774	161	11	previous	previous	ADJ
ejpam-6774	161	12	subsection	subsection	NOUN
ejpam-6774	161	13	,	,	PUNCT
ejpam-6774	161	14	we	we	PRON
ejpam-6774	161	15	can	can	AUX
ejpam-6774	161	16	construct	construct	VERB
ejpam-6774	161	17	the	the	DET
ejpam-6774	161	18	numerical	numerical	ADJ
ejpam-6774	161	19	scheme	scheme	NOUN
ejpam-6774	161	20	for	for	ADP
ejpam-6774	161	21	solving	solve	VERB
ejpam-6774	161	22	the	the	DET
ejpam-6774	161	23	brusselator	brusselator	NOUN
ejpam-6774	161	24	system	system	NOUN
ejpam-6774	161	25	(	(	PUNCT
ejpam-6774	161	26	10	10	NUM
ejpam-6774	161	27	)	)	PUNCT
ejpam-6774	161	28	.	.	PUNCT
ejpam-6774	162	1	for	for	ADP
ejpam-6774	162	2	this	this	DET
ejpam-6774	162	3	purpose	purpose	NOUN
ejpam-6774	162	4	,	,	PUNCT
ejpam-6774	162	5	let	let	VERB
ejpam-6774	162	6	us	we	PRON
ejpam-6774	162	7	recall	recall	VERB
ejpam-6774	162	8	the	the	DET
ejpam-6774	162	9	model	model	NOUN
ejpam-6774	162	10	given	give	VERB
ejpam-6774	162	11	in	in	ADP
ejpam-6774	162	12	(	(	PUNCT
ejpam-6774	162	13	10	10	NUM
ejpam-6774	162	14	):	):	PUNCT
ejpam-6774	162	15	cdξθ1(t	cdξθ1(t	X
ejpam-6774	162	16	)	)	PUNCT
ejpam-6774	163	1	=	=	SYM
ejpam-6774	164	1	%	%	NOUN
ejpam-6774	164	2	t%−1(δ	t%−1(δ	X
ejpam-6774	164	3	−	−	PROPN
ejpam-6774	164	4	(	(	PUNCT
ejpam-6774	164	5	γ	γ	X
ejpam-6774	164	6	+	+	NOUN
ejpam-6774	164	7	1	1	NUM
ejpam-6774	164	8	)	)	PUNCT
ejpam-6774	164	9	θ1(t	θ1(t	PROPN
ejpam-6774	164	10	)	)	PUNCT
ejpam-6774	164	11	+	+	NUM
ejpam-6774	164	12	θ21(t)θ2(t	θ21(t)θ2(t	NUM
ejpam-6774	164	13	)	)	PUNCT
ejpam-6774	164	14	)	)	PUNCT
ejpam-6774	164	15	,	,	PUNCT
ejpam-6774	164	16	cdξθ2(t	cdξθ2(t	NOUN
ejpam-6774	164	17	)	)	PUNCT
ejpam-6774	164	18	=	=	SYM
ejpam-6774	165	1	%	%	NOUN
ejpam-6774	165	2	t%−1(γ	t%−1(γ	PROPN
ejpam-6774	165	3	θ1(t)−	θ1(t)−	PUNCT
ejpam-6774	165	4	θ21(t)θ2(t	θ21(t)θ2(t	NUM
ejpam-6774	165	5	)	)	PUNCT
ejpam-6774	165	6	)	)	PUNCT
ejpam-6774	165	7	.	.	PUNCT
ejpam-6774	166	1	(	(	PUNCT
ejpam-6774	166	2	23	23	NUM
ejpam-6774	166	3	)	)	PUNCT
ejpam-6774	166	4	by	by	ADP
ejpam-6774	166	5	utilizing	utilize	VERB
ejpam-6774	166	6	the	the	DET
ejpam-6774	166	7	integrals	integral	NOUN
ejpam-6774	166	8	on	on	ADP
ejpam-6774	166	9	the	the	DET
ejpam-6774	166	10	system	system	NOUN
ejpam-6774	166	11	(	(	PUNCT
ejpam-6774	166	12	23	23	NUM
ejpam-6774	166	13	)	)	PUNCT
ejpam-6774	166	14	,	,	PUNCT
ejpam-6774	166	15	we	we	PRON
ejpam-6774	166	16	obtain	obtain	VERB
ejpam-6774	166	17	:	:	PUNCT
ejpam-6774	166	18	θ1(t	θ1(t	NUM
ejpam-6774	166	19	)	)	PUNCT
ejpam-6774	166	20	=	=	SYM
ejpam-6774	166	21	θ1(0	θ1(0	PROPN
ejpam-6774	166	22	)	)	PUNCT
ejpam-6774	167	1	+	+	NUM
ejpam-6774	167	2	%	%	X
ejpam-6774	167	3	γ(ξ	γ(ξ	PROPN
ejpam-6774	167	4	)	)	PUNCT
ejpam-6774	167	5	∫	∫	PROPN
ejpam-6774	167	6	t	t	PROPN
ejpam-6774	167	7	0	0	NUM
ejpam-6774	167	8	(	(	PUNCT
ejpam-6774	167	9	t−	t−	PROPN
ejpam-6774	167	10	s)ξ−1	s)ξ−1	NOUN
ejpam-6774	167	11	s%−1	s%−1	NOUN
ejpam-6774	167	12	f1(θ1(s	f1(θ1(	NOUN
ejpam-6774	167	13	)	)	PUNCT
ejpam-6774	167	14	,	,	PUNCT
ejpam-6774	167	15	θ2(s	θ2(s	NOUN
ejpam-6774	167	16	)	)	PUNCT
ejpam-6774	167	17	,	,	PUNCT
ejpam-6774	167	18	s	s	X
ejpam-6774	167	19	)	)	PUNCT
ejpam-6774	167	20	ds	ds	PROPN
ejpam-6774	167	21	,	,	PUNCT
ejpam-6774	167	22	θ2(t	θ2(t	PROPN
ejpam-6774	167	23	)	)	PUNCT
ejpam-6774	167	24	=	=	SYM
ejpam-6774	167	25	θ2(0	θ2(0	NOUN
ejpam-6774	167	26	)	)	PUNCT
ejpam-6774	168	1	+	+	NUM
ejpam-6774	168	2	%	%	X
ejpam-6774	168	3	γ(ξ	γ(ξ	PROPN
ejpam-6774	168	4	)	)	PUNCT
ejpam-6774	168	5	∫	∫	PROPN
ejpam-6774	168	6	t	t	PROPN
ejpam-6774	168	7	0	0	NUM
ejpam-6774	168	8	(	(	PUNCT
ejpam-6774	168	9	t−	t−	PROPN
ejpam-6774	168	10	s)ξ−1	s)ξ−1	NOUN
ejpam-6774	168	11	s%−1	s%−1	NOUN
ejpam-6774	168	12	f2(θ1(s	f2(θ1(s	PROPN
ejpam-6774	168	13	)	)	PUNCT
ejpam-6774	168	14	,	,	PUNCT
ejpam-6774	168	15	θ2(s	θ2(s	NOUN
ejpam-6774	168	16	)	)	PUNCT
ejpam-6774	168	17	,	,	PUNCT
ejpam-6774	168	18	s	s	X
ejpam-6774	168	19	)	)	PUNCT
ejpam-6774	168	20	ds	ds	ADJ
ejpam-6774	168	21	,	,	PUNCT
ejpam-6774	168	22	(	(	PUNCT
ejpam-6774	168	23	24	24	NUM
ejpam-6774	168	24	)	)	PUNCT
ejpam-6774	168	25	where	where	SCONJ
ejpam-6774	168	26	the	the	DET
ejpam-6774	168	27	functions	function	NOUN
ejpam-6774	168	28	fk(θ1(t	fk(θ1(t	PROPN
ejpam-6774	168	29	)	)	PUNCT
ejpam-6774	168	30	,	,	PUNCT
ejpam-6774	168	31	θ2(t	θ2(t	PROPN
ejpam-6774	168	32	)	)	PUNCT
ejpam-6774	168	33	,	,	PUNCT
ejpam-6774	168	34	t	t	PROPN
ejpam-6774	168	35	)	)	PUNCT
ejpam-6774	168	36	,	,	PUNCT
ejpam-6774	168	37	k	k	X
ejpam-6774	168	38	=	=	SYM
ejpam-6774	168	39	1	1	NUM
ejpam-6774	168	40	,	,	PUNCT
ejpam-6774	168	41	2	2	NUM
ejpam-6774	168	42	,	,	PUNCT
ejpam-6774	168	43	are	be	AUX
ejpam-6774	168	44	given	give	VERB
ejpam-6774	168	45	in	in	ADP
ejpam-6774	168	46	(	(	PUNCT
ejpam-6774	168	47	13	13	NUM
ejpam-6774	168	48	)	)	PUNCT
ejpam-6774	168	49	.	.	PUNCT
ejpam-6774	169	1	thus	thus	ADV
ejpam-6774	169	2	,	,	PUNCT
ejpam-6774	169	3	at	at	ADP
ejpam-6774	169	4	time	time	NOUN
ejpam-6774	169	5	t	t	NOUN
ejpam-6774	169	6	=	=	SYM
ejpam-6774	169	7	tn+1	tn+1	X
ejpam-6774	169	8	θn+1	θn+1	NUM
ejpam-6774	169	9	1	1	NUM
ejpam-6774	169	10	=	=	SYM
ejpam-6774	169	11	θ1(0	θ1(0	PROPN
ejpam-6774	169	12	)	)	PUNCT
ejpam-6774	170	1	+	+	NUM
ejpam-6774	170	2	%	%	X
ejpam-6774	170	3	γ(ξ	γ(ξ	PROPN
ejpam-6774	170	4	)	)	PUNCT
ejpam-6774	170	5	∫	∫	PROPN
ejpam-6774	170	6	tn+1	tn+1	PROPN
ejpam-6774	170	7	0	0	NUM
ejpam-6774	170	8	(	(	PUNCT
ejpam-6774	170	9	tn+1	tn+1	NOUN
ejpam-6774	170	10	−	−	NOUN
ejpam-6774	170	11	s)ξ−1	s)ξ−1	NOUN
ejpam-6774	170	12	s%−1	s%−1	NOUN
ejpam-6774	170	13	f1(θ1(s	f1(θ1(	NOUN
ejpam-6774	170	14	)	)	PUNCT
ejpam-6774	170	15	,	,	PUNCT
ejpam-6774	170	16	θ2(s	θ2(s	NOUN
ejpam-6774	170	17	)	)	PUNCT
ejpam-6774	170	18	,	,	PUNCT
ejpam-6774	170	19	s	s	X
ejpam-6774	170	20	)	)	PUNCT
ejpam-6774	170	21	ds	ds	ADJ
ejpam-6774	170	22	,	,	PUNCT
ejpam-6774	170	23	θn+1	θn+1	X
ejpam-6774	170	24	2	2	NUM
ejpam-6774	170	25	=	=	SYM
ejpam-6774	170	26	θ2(0	θ2(0	NOUN
ejpam-6774	170	27	)	)	PUNCT
ejpam-6774	171	1	+	+	NUM
ejpam-6774	171	2	%	%	X
ejpam-6774	171	3	γ(ξ	γ(ξ	PROPN
ejpam-6774	171	4	)	)	PUNCT
ejpam-6774	171	5	∫	∫	PROPN
ejpam-6774	171	6	tn+1	tn+1	PROPN
ejpam-6774	171	7	0	0	NUM
ejpam-6774	171	8	(	(	PUNCT
ejpam-6774	171	9	tn+1	tn+1	NOUN
ejpam-6774	171	10	−	−	NOUN
ejpam-6774	171	11	s)ξ−1	s)ξ−1	NOUN
ejpam-6774	171	12	s%−1	s%−1	NOUN
ejpam-6774	171	13	f2(θ1(s	f2(θ1(s	PROPN
ejpam-6774	171	14	)	)	PUNCT
ejpam-6774	171	15	,	,	PUNCT
ejpam-6774	171	16	θ2(s	θ2(s	NOUN
ejpam-6774	171	17	)	)	PUNCT
ejpam-6774	171	18	,	,	PUNCT
ejpam-6774	171	19	s	s	X
ejpam-6774	171	20	)	)	PUNCT
ejpam-6774	171	21	ds	ds	NOUN
ejpam-6774	171	22	.	.	PUNCT
ejpam-6774	172	1	(	(	PUNCT
ejpam-6774	172	2	25	25	NUM
ejpam-6774	172	3	)	)	PUNCT
ejpam-6774	172	4	thus	thus	ADV
ejpam-6774	172	5	,	,	PUNCT
ejpam-6774	172	6	the	the	DET
ejpam-6774	172	7	following	follow	VERB
ejpam-6774	172	8	algebraic	algebraic	ADJ
ejpam-6774	172	9	equation	equation	NOUN
ejpam-6774	172	10	system	system	NOUN
ejpam-6774	172	11	is	be	AUX
ejpam-6774	172	12	transformed	transform	VERB
ejpam-6774	172	13	by	by	ADP
ejpam-6774	172	14	the	the	DET
ejpam-6774	172	15	system	system	NOUN
ejpam-6774	172	16	provided	provide	VERB
ejpam-6774	172	17	in	in	ADP
ejpam-6774	172	18	(	(	PUNCT
ejpam-6774	172	19	25	25	NUM
ejpam-6774	172	20	)	)	PUNCT
ejpam-6774	172	21	as	as	SCONJ
ejpam-6774	172	22	follows	follow	VERB
ejpam-6774	172	23	(	(	PUNCT
ejpam-6774	172	24	k	k	NOUN
ejpam-6774	172	25	=	=	SYM
ejpam-6774	172	26	1	1	NUM
ejpam-6774	172	27	,	,	PUNCT
ejpam-6774	172	28	2	2	NUM
ejpam-6774	172	29	):	):	PUNCT
ejpam-6774	173	1	θn+1	θn+1	X
ejpam-6774	173	2	k	k	X
ejpam-6774	173	3	=	=	SYM
ejpam-6774	173	4	θk,0	θk,0	PROPN
ejpam-6774	173	5	+	+	CCONJ
ejpam-6774	173	6	%	%	INTJ
ejpam-6774	173	7	hξ	hξ	X
ejpam-6774	173	8	γ(ξ	γ(ξ	PROPN
ejpam-6774	173	9	+	+	CCONJ
ejpam-6774	174	1	2	2	NUM
ejpam-6774	174	2	)	)	PUNCT
ejpam-6774	174	3	.	.	PUNCT
ejpam-6774	175	1	n∑	n∑	PROPN
ejpam-6774	175	2	j=0	j=0	PROPN
ejpam-6774	175	3	[	[	PUNCT
ejpam-6774	175	4	t%−1	t%−1	PROPN
ejpam-6774	175	5	j	j	NOUN
ejpam-6774	175	6	{	{	PUNCT
ejpam-6774	175	7	(	(	PUNCT
ejpam-6774	175	8	n−	n−	NOUN
ejpam-6774	175	9	j	j	PROPN
ejpam-6774	175	10	+	+	CCONJ
ejpam-6774	175	11	1)ξ(ξ	1)ξ(ξ	NUM
ejpam-6774	175	12	+	+	NUM
ejpam-6774	175	13	n−	n−	NOUN
ejpam-6774	175	14	j	j	PROPN
ejpam-6774	175	15	+	+	X
ejpam-6774	175	16	2)−	2)−	NUM
ejpam-6774	175	17	(	(	PUNCT
ejpam-6774	175	18	n−	n−	NOUN
ejpam-6774	175	19	j)ξ(2ξ	j)ξ(2ξ	PROPN
ejpam-6774	175	20	+	+	NUM
ejpam-6774	175	21	n−	n−	PROPN
ejpam-6774	175	22	j	j	NOUN
ejpam-6774	175	23	+	+	CCONJ
ejpam-6774	175	24	2	2	NUM
ejpam-6774	175	25	)	)	PUNCT
ejpam-6774	175	26	}	}	PUNCT
ejpam-6774	175	27	fk	fk	INTJ
ejpam-6774	175	28	(	(	PUNCT
ejpam-6774	175	29	θ1	θ1	PROPN
ejpam-6774	175	30	,	,	PUNCT
ejpam-6774	175	31	θ2	θ2	PROPN
ejpam-6774	175	32	,	,	PUNCT
ejpam-6774	175	33	tj	tj	PROPN
ejpam-6774	175	34	)	)	PUNCT
ejpam-6774	175	35	−	−	PROPN
ejpam-6774	175	36	t%−1	t%−1	X
ejpam-6774	175	37	j−1	j−1	NOUN
ejpam-6774	175	38	{	{	PUNCT
ejpam-6774	175	39	(	(	PUNCT
ejpam-6774	175	40	n−	n−	NOUN
ejpam-6774	175	41	j	j	NOUN
ejpam-6774	175	42	+	+	CCONJ
ejpam-6774	175	43	1)ξ+1	1)ξ+1	NUM
ejpam-6774	175	44	−	−	NOUN
ejpam-6774	175	45	(	(	PUNCT
ejpam-6774	175	46	n−	n−	NOUN
ejpam-6774	175	47	j)ξ(ξ	j)ξ(ξ	NOUN
ejpam-6774	175	48	+	+	CCONJ
ejpam-6774	175	49	n−	n−	PROPN
ejpam-6774	175	50	j	j	NOUN
ejpam-6774	175	51	+	+	CCONJ
ejpam-6774	175	52	1	1	NUM
ejpam-6774	175	53	)	)	PUNCT
ejpam-6774	175	54	}	}	PUNCT
ejpam-6774	175	55	fk	fk	INTJ
ejpam-6774	175	56	(	(	PUNCT
ejpam-6774	175	57	θ1	θ1	PROPN
ejpam-6774	175	58	,	,	PUNCT
ejpam-6774	175	59	θ2	θ2	PROPN
ejpam-6774	175	60	,	,	PUNCT
ejpam-6774	175	61	tj−1	tj−1	PROPN
ejpam-6774	175	62	)	)	PUNCT
ejpam-6774	175	63	]	]	PUNCT
ejpam-6774	175	64	.	.	PUNCT
ejpam-6774	176	1	(	(	PUNCT
ejpam-6774	176	2	26	26	NUM
ejpam-6774	176	3	)	)	PUNCT
ejpam-6774	176	4	m.	m.	NOUN
ejpam-6774	176	5	adel	adel	PROPN
ejpam-6774	176	6	et	et	PROPN
ejpam-6774	176	7	al	al	PROPN
ejpam-6774	176	8	.	.	PUNCT
ejpam-6774	176	9	/	/	SYM
ejpam-6774	176	10	eur	eur	PROPN
ejpam-6774	176	11	.	.	PUNCT
ejpam-6774	177	1	j.	j.	PROPN
ejpam-6774	177	2	pure	pure	PROPN
ejpam-6774	177	3	appl	appl	PROPN
ejpam-6774	177	4	.	.	PROPN
ejpam-6774	177	5	math	math	PROPN
ejpam-6774	177	6	,	,	PUNCT
ejpam-6774	177	7	18	18	NUM
ejpam-6774	177	8	(	(	PUNCT
ejpam-6774	177	9	4	4	NUM
ejpam-6774	177	10	)	)	PUNCT
ejpam-6774	177	11	(	(	PUNCT
ejpam-6774	177	12	2025	2025	NUM
ejpam-6774	177	13	)	)	PUNCT
ejpam-6774	177	14	,	,	PUNCT
ejpam-6774	177	15	6774	6774	NUM
ejpam-6774	177	16	9	9	NUM
ejpam-6774	177	17	of	of	ADP
ejpam-6774	177	18	16	16	NUM
ejpam-6774	177	19	5	5	NUM
ejpam-6774	177	20	.	.	PUNCT
ejpam-6774	177	21	numerical	numerical	PROPN
ejpam-6774	177	22	simulation	simulation	PROPN
ejpam-6774	177	23	5.1	5.1	NUM
ejpam-6774	177	24	.	.	PUNCT
ejpam-6774	178	1	the	the	DET
ejpam-6774	178	2	banks	bank	NOUN
ejpam-6774	178	3	’	’	PART
ejpam-6774	178	4	competition	competition	NOUN
ejpam-6774	178	5	model	model	NOUN
ejpam-6774	178	6	we	we	PRON
ejpam-6774	178	7	will	will	AUX
ejpam-6774	178	8	show	show	VERB
ejpam-6774	178	9	a	a	DET
ejpam-6774	178	10	numerical	numerical	ADJ
ejpam-6774	178	11	simulation	simulation	NOUN
ejpam-6774	178	12	in	in	ADP
ejpam-6774	178	13	[	[	X
ejpam-6774	178	14	0	0	NUM
ejpam-6774	178	15	,	,	PUNCT
ejpam-6774	178	16	9	9	NUM
ejpam-6774	178	17	]	]	PUNCT
ejpam-6774	178	18	,	,	PUNCT
ejpam-6774	178	19	for	for	ADP
ejpam-6774	178	20	the	the	DET
ejpam-6774	178	21	model	model	NOUN
ejpam-6774	178	22	(	(	PUNCT
ejpam-6774	178	23	2	2	NUM
ejpam-6774	178	24	)	)	PUNCT
ejpam-6774	178	25	and	and	CCONJ
ejpam-6774	178	26	the	the	DET
ejpam-6774	178	27	modified	modify	VERB
ejpam-6774	178	28	system	system	NOUN
ejpam-6774	178	29	(	(	PUNCT
ejpam-6774	178	30	22	22	NUM
ejpam-6774	178	31	)	)	PUNCT
ejpam-6774	178	32	with	with	ADP
ejpam-6774	178	33	optimal	optimal	ADJ
ejpam-6774	178	34	control	control	NOUN
ejpam-6774	178	35	,	,	PUNCT
ejpam-6774	178	36	with	with	ADP
ejpam-6774	178	37	different	different	ADJ
ejpam-6774	178	38	values	value	NOUN
ejpam-6774	178	39	of	of	ADP
ejpam-6774	178	40	%	%	NOUN
ejpam-6774	178	41	,	,	PUNCT
ejpam-6774	178	42	ξ	ξ	PROPN
ejpam-6774	178	43	,	,	PUNCT
ejpam-6774	178	44	n	n	CCONJ
ejpam-6774	178	45	,	,	PUNCT
ejpam-6774	178	46	h	h	NOUN
ejpam-6774	178	47	,	,	PUNCT
ejpam-6774	178	48	to	to	PART
ejpam-6774	178	49	show	show	VERB
ejpam-6774	178	50	the	the	DET
ejpam-6774	178	51	precision	precision	NOUN
ejpam-6774	178	52	and	and	CCONJ
ejpam-6774	178	53	caliber	caliber	NOUN
ejpam-6774	178	54	of	of	ADP
ejpam-6774	178	55	the	the	DET
ejpam-6774	178	56	proposed	propose	VERB
ejpam-6774	178	57	scheme	scheme	NOUN
ejpam-6774	178	58	.	.	PUNCT
ejpam-6774	179	1	we	we	PRON
ejpam-6774	179	2	utilize	utilize	VERB
ejpam-6774	179	3	the	the	DET
ejpam-6774	179	4	same	same	ADJ
ejpam-6774	179	5	values	value	NOUN
ejpam-6774	179	6	for	for	ADP
ejpam-6774	179	7	the	the	DET
ejpam-6774	179	8	parameters	parameter	NOUN
ejpam-6774	179	9	in	in	ADP
ejpam-6774	179	10	[	[	X
ejpam-6774	179	11	8	8	NUM
ejpam-6774	179	12	]	]	PUNCT
ejpam-6774	179	13	in	in	ADP
ejpam-6774	179	14	all	all	DET
ejpam-6774	179	15	figures	figure	NOUN
ejpam-6774	179	16	:	:	PUNCT
ejpam-6774	179	17	(	(	PUNCT
ejpam-6774	179	18	α1	α1	PROPN
ejpam-6774	179	19	,	,	PUNCT
ejpam-6774	179	20	α2	α2	ADJ
ejpam-6774	179	21	,	,	PUNCT
ejpam-6774	179	22	α3	α3	NOUN
ejpam-6774	179	23	,	,	PUNCT
ejpam-6774	179	24	α4	α4	NOUN
ejpam-6774	179	25	)	)	PUNCT
ejpam-6774	179	26	=	=	PUNCT
ejpam-6774	179	27	(	(	PUNCT
ejpam-6774	179	28	0.7	0.7	NUM
ejpam-6774	179	29	,	,	PUNCT
ejpam-6774	179	30	0.5	0.5	NUM
ejpam-6774	179	31	,	,	PUNCT
ejpam-6774	179	32	0.45	0.45	NUM
ejpam-6774	179	33	,	,	PUNCT
ejpam-6774	179	34	0.3	0.3	NUM
ejpam-6774	179	35	)	)	PUNCT
ejpam-6774	179	36	,	,	PUNCT
ejpam-6774	179	37	(	(	PUNCT
ejpam-6774	179	38	β1	β1	PROPN
ejpam-6774	179	39	,	,	PUNCT
ejpam-6774	179	40	β2	β2	NOUN
ejpam-6774	179	41	,	,	PUNCT
ejpam-6774	179	42	β3	β3	ADJ
ejpam-6774	179	43	,	,	PUNCT
ejpam-6774	179	44	β4	β4	PROPN
ejpam-6774	179	45	)	)	PUNCT
ejpam-6774	179	46	=	=	PUNCT
ejpam-6774	179	47	(	(	PUNCT
ejpam-6774	179	48	33696	33696	NUM
ejpam-6774	179	49	,	,	PUNCT
ejpam-6774	179	50	31162	31162	NUM
ejpam-6774	179	51	,	,	PUNCT
ejpam-6774	179	52	11679	11679	NUM
ejpam-6774	179	53	,	,	PUNCT
ejpam-6774	179	54	3710	3710	NUM
ejpam-6774	179	55	)	)	PUNCT
ejpam-6774	179	56	,	,	PUNCT
ejpam-6774	179	57	(	(	PUNCT
ejpam-6774	179	58	δ1	δ1	NOUN
ejpam-6774	179	59	,	,	PUNCT
ejpam-6774	179	60	δ2	δ2	VERB
ejpam-6774	179	61	,	,	PUNCT
ejpam-6774	179	62	δ3	δ3	PROPN
ejpam-6774	179	63	,	,	PUNCT
ejpam-6774	179	64	δ4	δ4	NOUN
ejpam-6774	179	65	)	)	PUNCT
ejpam-6774	179	66	=	=	PUNCT
ejpam-6774	179	67	(	(	PUNCT
ejpam-6774	179	68	1.9	1.9	NUM
ejpam-6774	179	69	,	,	PUNCT
ejpam-6774	179	70	2.3	2.3	NUM
ejpam-6774	179	71	,	,	PUNCT
ejpam-6774	179	72	1.02	1.02	NUM
ejpam-6774	179	73	,	,	PUNCT
ejpam-6774	179	74	5.0)×10−18	5.0)×10−18	NUM
ejpam-6774	179	75	,	,	PUNCT
ejpam-6774	179	76	(	(	PUNCT
ejpam-6774	179	77	ε1	ε1	PROPN
ejpam-6774	179	78	,	,	PUNCT
ejpam-6774	179	79	ε2	ε2	PROPN
ejpam-6774	179	80	,	,	PUNCT
ejpam-6774	179	81	ε3	ε3	PROPN
ejpam-6774	179	82	,	,	PUNCT
ejpam-6774	179	83	ε4	ε4	PROPN
ejpam-6774	179	84	)	)	PUNCT
ejpam-6774	179	85	=	=	PUNCT
ejpam-6774	179	86	(	(	PUNCT
ejpam-6774	179	87	0.392	0.392	NUM
ejpam-6774	179	88	,	,	PUNCT
ejpam-6774	179	89	0.327	0.327	NUM
ejpam-6774	179	90	,	,	PUNCT
ejpam-6774	179	91	0.245	0.245	NUM
ejpam-6774	179	92	,	,	PUNCT
ejpam-6774	179	93	0.295	0.295	NUM
ejpam-6774	179	94	)	)	PUNCT
ejpam-6774	179	95	.	.	PUNCT
ejpam-6774	180	1	use	use	VERB
ejpam-6774	180	2	the	the	DET
ejpam-6774	180	3	following	following	ADJ
ejpam-6774	180	4	initial	initial	ADJ
ejpam-6774	180	5	conditions	condition	NOUN
ejpam-6774	180	6	[	[	X
ejpam-6774	180	7	8	8	NUM
ejpam-6774	180	8	]	]	SYM
ejpam-6774	180	9	:	:	PUNCT
ejpam-6774	180	10	ˆ̄υ1	ˆ̄υ1	X
ejpam-6774	180	11	=	=	SYM
ejpam-6774	180	12	2.25	2.25	NUM
ejpam-6774	180	13	,	,	PUNCT
ejpam-6774	180	14	ˆ̄υ2	ˆ̄υ2	ADV
ejpam-6774	180	15	=	=	SYM
ejpam-6774	180	16	2.3	2.3	NUM
ejpam-6774	180	17	,	,	PUNCT
ejpam-6774	180	18	ˆ̄υ3	ˆ̄υ3	PROPN
ejpam-6774	180	19	=	=	NOUN
ejpam-6774	180	20	0.74	0.74	NUM
ejpam-6774	180	21	,	,	PUNCT
ejpam-6774	180	22	ˆ̄υ4	ˆ̄υ4	NOUN
ejpam-6774	180	23	=	=	SYM
ejpam-6774	180	24	0.6250	0.6250	NUM
ejpam-6774	180	25	.	.	PUNCT
ejpam-6774	181	1	we	we	PRON
ejpam-6774	181	2	also	also	ADV
ejpam-6774	181	3	give	give	VERB
ejpam-6774	181	4	a	a	DET
ejpam-6774	181	5	comparison	comparison	NOUN
ejpam-6774	181	6	of	of	ADP
ejpam-6774	181	7	the	the	DET
ejpam-6774	181	8	outcomes	outcome	NOUN
ejpam-6774	181	9	obtained	obtain	VERB
ejpam-6774	181	10	by	by	ADP
ejpam-6774	181	11	the	the	DET
ejpam-6774	181	12	suggested	suggest	VERB
ejpam-6774	181	13	technique	technique	NOUN
ejpam-6774	181	14	with	with	ADP
ejpam-6774	181	15	those	those	PRON
ejpam-6774	181	16	acquired	acquire	VERB
ejpam-6774	181	17	by	by	ADP
ejpam-6774	181	18	employing	employ	VERB
ejpam-6774	181	19	the	the	DET
ejpam-6774	181	20	rk4	rk4	NOUN
ejpam-6774	181	21	m.	m.	NOUN
ejpam-6774	181	22	figures	figure	NOUN
ejpam-6774	181	23	1	1	NUM
ejpam-6774	181	24	-	-	SYM
ejpam-6774	181	25	4	4	NUM
ejpam-6774	181	26	give	give	VERB
ejpam-6774	181	27	the	the	DET
ejpam-6774	181	28	approximate	approximate	ADJ
ejpam-6774	181	29	solution	solution	NOUN
ejpam-6774	181	30	that	that	PRON
ejpam-6774	181	31	was	be	AUX
ejpam-6774	181	32	achieved	achieve	VERB
ejpam-6774	181	33	for	for	ADP
ejpam-6774	181	34	the	the	DET
ejpam-6774	181	35	system	system	NOUN
ejpam-6774	181	36	under	under	ADP
ejpam-6774	181	37	investigation	investigation	NOUN
ejpam-6774	181	38	by	by	ADP
ejpam-6774	181	39	using	use	VERB
ejpam-6774	181	40	the	the	DET
ejpam-6774	181	41	suggested	suggest	VERB
ejpam-6774	181	42	technique	technique	NOUN
ejpam-6774	181	43	.	.	PUNCT
ejpam-6774	182	1	(	(	PUNCT
ejpam-6774	182	2	i	i	NOUN
ejpam-6774	182	3	)	)	PUNCT
ejpam-6774	182	4	the	the	DET
ejpam-6774	182	5	behavior	behavior	NOUN
ejpam-6774	182	6	of	of	ADP
ejpam-6774	182	7	the	the	DET
ejpam-6774	182	8	numerical	numerical	ADJ
ejpam-6774	182	9	solution	solution	NOUN
ejpam-6774	182	10	is	be	AUX
ejpam-6774	182	11	given	give	VERB
ejpam-6774	182	12	in	in	ADP
ejpam-6774	182	13	figure	figure	NOUN
ejpam-6774	182	14	1	1	NUM
ejpam-6774	182	15	for	for	ADP
ejpam-6774	182	16	n	n	NOUN
ejpam-6774	182	17	=	=	SYM
ejpam-6774	182	18	50	50	NUM
ejpam-6774	182	19	,	,	PUNCT
ejpam-6774	182	20	using	use	VERB
ejpam-6774	182	21	different	different	ADJ
ejpam-6774	182	22	values	value	NOUN
ejpam-6774	182	23	of	of	ADP
ejpam-6774	182	24	%	%	NOUN
ejpam-6774	182	25	=	=	SYM
ejpam-6774	182	26	ξ	ξ	PROPN
ejpam-6774	182	27	=	=	SYM
ejpam-6774	182	28	1.0	1.0	NUM
ejpam-6774	182	29	,	,	PUNCT
ejpam-6774	182	30	0.95	0.95	NUM
ejpam-6774	182	31	,	,	PUNCT
ejpam-6774	182	32	0.9	0.9	NUM
ejpam-6774	182	33	,	,	PUNCT
ejpam-6774	182	34	0.85	0.85	NUM
ejpam-6774	182	35	.	.	PUNCT
ejpam-6774	183	1	(	(	PUNCT
ejpam-6774	183	2	ii	ii	NOUN
ejpam-6774	183	3	)	)	PUNCT
ejpam-6774	183	4	in	in	ADP
ejpam-6774	183	5	figure	figure	NOUN
ejpam-6774	183	6	2	2	NUM
ejpam-6774	183	7	,	,	PUNCT
ejpam-6774	183	8	we	we	PRON
ejpam-6774	183	9	show	show	VERB
ejpam-6774	183	10	a	a	DET
ejpam-6774	183	11	comparison	comparison	NOUN
ejpam-6774	183	12	between	between	ADP
ejpam-6774	183	13	the	the	DET
ejpam-6774	183	14	results	result	NOUN
ejpam-6774	183	15	using	use	VERB
ejpam-6774	183	16	the	the	DET
ejpam-6774	183	17	rk4	rk4	NOUN
ejpam-6774	183	18	m	m	NOUN
ejpam-6774	183	19	at	at	ADP
ejpam-6774	183	20	(	(	PUNCT
ejpam-6774	183	21	%	%	NOUN
ejpam-6774	183	22	=	=	SYM
ejpam-6774	183	23	ξ	ξ	X
ejpam-6774	183	24	=	=	SYM
ejpam-6774	183	25	1	1	NUM
ejpam-6774	183	26	)	)	PUNCT
ejpam-6774	183	27	with	with	ADP
ejpam-6774	183	28	n	n	NOUN
ejpam-6774	183	29	=	=	SYM
ejpam-6774	183	30	90	90	NUM
ejpam-6774	183	31	and	and	CCONJ
ejpam-6774	183	32	the	the	DET
ejpam-6774	183	33	results	result	NOUN
ejpam-6774	183	34	using	use	VERB
ejpam-6774	183	35	the	the	DET
ejpam-6774	183	36	suggested	suggest	VERB
ejpam-6774	183	37	technique	technique	NOUN
ejpam-6774	183	38	.	.	PUNCT
ejpam-6774	184	1	(	(	PUNCT
ejpam-6774	184	2	iii	iii	NOUN
ejpam-6774	184	3	)	)	PUNCT
ejpam-6774	184	4	in	in	ADP
ejpam-6774	184	5	figure	figure	NOUN
ejpam-6774	184	6	3	3	NUM
ejpam-6774	184	7	,	,	PUNCT
ejpam-6774	184	8	the	the	DET
ejpam-6774	184	9	approximate	approximate	ADJ
ejpam-6774	184	10	solution	solution	NOUN
ejpam-6774	184	11	of	of	ADP
ejpam-6774	184	12	the	the	DET
ejpam-6774	184	13	modified	modify	VERB
ejpam-6774	184	14	system	system	NOUN
ejpam-6774	184	15	with	with	ADP
ejpam-6774	184	16	the	the	DET
ejpam-6774	184	17	optimal	optimal	ADJ
ejpam-6774	184	18	control	control	NOUN
ejpam-6774	184	19	oc(t	oc(t	PROPN
ejpam-6774	184	20	)	)	PUNCT
ejpam-6774	184	21	=	=	SYM
ejpam-6774	184	22	−2	−2	PROPN
ejpam-6774	184	23	e−2	e−2	PROPN
ejpam-6774	184	24	t	t	PROPN
ejpam-6774	184	25	by	by	ADP
ejpam-6774	184	26	using	use	VERB
ejpam-6774	184	27	the	the	DET
ejpam-6774	184	28	proposed	propose	VERB
ejpam-6774	184	29	method	method	NOUN
ejpam-6774	184	30	at	at	ADP
ejpam-6774	184	31	(	(	PUNCT
ejpam-6774	184	32	%	%	NOUN
ejpam-6774	184	33	=	=	SYM
ejpam-6774	184	34	ξ	ξ	X
ejpam-6774	184	35	=	=	SYM
ejpam-6774	184	36	0.95	0.95	NUM
ejpam-6774	184	37	)	)	PUNCT
ejpam-6774	184	38	and	and	CCONJ
ejpam-6774	184	39	rk4	rk4	NOUN
ejpam-6774	184	40	m	m	NOUN
ejpam-6774	184	41	(	(	PUNCT
ejpam-6774	184	42	%	%	NOUN
ejpam-6774	184	43	=	=	SYM
ejpam-6774	184	44	ξ	ξ	X
ejpam-6774	184	45	=	=	SYM
ejpam-6774	184	46	1	1	NUM
ejpam-6774	184	47	)	)	PUNCT
ejpam-6774	184	48	,	,	PUNCT
ejpam-6774	184	49	at	at	ADP
ejpam-6774	184	50	n	n	PROPN
ejpam-6774	184	51	=	=	SYM
ejpam-6774	184	52	90	90	NUM
ejpam-6774	184	53	.	.	PUNCT
ejpam-6774	185	1	(	(	PUNCT
ejpam-6774	185	2	iv	iv	X
ejpam-6774	185	3	)	)	PUNCT
ejpam-6774	185	4	in	in	ADP
ejpam-6774	185	5	figure	figure	NOUN
ejpam-6774	185	6	4	4	NUM
ejpam-6774	185	7	,	,	PUNCT
ejpam-6774	185	8	we	we	PRON
ejpam-6774	185	9	study	study	VERB
ejpam-6774	185	10	the	the	DET
ejpam-6774	185	11	influence	influence	NOUN
ejpam-6774	185	12	of	of	ADP
ejpam-6774	185	13	the	the	DET
ejpam-6774	185	14	approximation	approximation	NOUN
ejpam-6774	185	15	order	order	NOUN
ejpam-6774	185	16	,	,	PUNCT
ejpam-6774	185	17	n	n	CCONJ
ejpam-6774	185	18	,	,	PUNCT
ejpam-6774	185	19	on	on	ADP
ejpam-6774	185	20	the	the	DET
ejpam-6774	185	21	approximate	approximate	ADJ
ejpam-6774	185	22	solution	solution	NOUN
ejpam-6774	185	23	of	of	ADP
ejpam-6774	185	24	the	the	DET
ejpam-6774	185	25	proposed	propose	VERB
ejpam-6774	185	26	model	model	NOUN
ejpam-6774	185	27	with	with	ADP
ejpam-6774	185	28	and	and	CCONJ
ejpam-6774	185	29	without	without	ADP
ejpam-6774	185	30	optimal	optimal	ADJ
ejpam-6774	185	31	control	control	NOUN
ejpam-6774	185	32	.	.	PUNCT
ejpam-6774	186	1	these	these	DET
ejpam-6774	186	2	findings	finding	NOUN
ejpam-6774	186	3	indicate	indicate	VERB
ejpam-6774	186	4	that	that	SCONJ
ejpam-6774	186	5	the	the	DET
ejpam-6774	186	6	presented	present	VERB
ejpam-6774	186	7	technique	technique	NOUN
ejpam-6774	186	8	is	be	AUX
ejpam-6774	186	9	suitable	suitable	ADJ
ejpam-6774	186	10	for	for	ADP
ejpam-6774	186	11	solving	solve	VERB
ejpam-6774	186	12	the	the	DET
ejpam-6774	186	13	proposed	propose	VERB
ejpam-6774	186	14	system	system	NOUN
ejpam-6774	186	15	,	,	PUNCT
ejpam-6774	186	16	as	as	SCONJ
ejpam-6774	186	17	the	the	DET
ejpam-6774	186	18	characteristics	characteristic	NOUN
ejpam-6774	186	19	of	of	ADP
ejpam-6774	186	20	the	the	DET
ejpam-6774	186	21	numerical	numerical	ADJ
ejpam-6774	186	22	solution	solution	NOUN
ejpam-6774	186	23	derived	derive	VERB
ejpam-6774	186	24	from	from	ADP
ejpam-6774	186	25	this	this	DET
ejpam-6774	186	26	technique	technique	NOUN
ejpam-6774	186	27	are	be	AUX
ejpam-6774	186	28	contingent	contingent	ADJ
ejpam-6774	186	29	upon	upon	SCONJ
ejpam-6774	186	30	the	the	DET
ejpam-6774	186	31	values	value	NOUN
ejpam-6774	186	32	of	of	ADP
ejpam-6774	186	33	%	%	NOUN
ejpam-6774	186	34	,	,	PUNCT
ejpam-6774	186	35	ξ	ξ	PROPN
ejpam-6774	186	36	,	,	PUNCT
ejpam-6774	186	37	n.	n.	PROPN
ejpam-6774	186	38	furthermore	furthermore	ADV
ejpam-6774	186	39	,	,	PUNCT
ejpam-6774	186	40	we	we	PRON
ejpam-6774	186	41	established	establish	VERB
ejpam-6774	186	42	a	a	DET
ejpam-6774	186	43	reinvestment	reinvestment	NOUN
ejpam-6774	186	44	-	-	PUNCT
ejpam-6774	186	45	control	control	NOUN
ejpam-6774	186	46	mechanism	mechanism	NOUN
ejpam-6774	186	47	as	as	ADP
ejpam-6774	186	48	a	a	DET
ejpam-6774	186	49	proposal	proposal	NOUN
ejpam-6774	186	50	to	to	PART
ejpam-6774	186	51	implement	implement	VERB
ejpam-6774	186	52	a	a	DET
ejpam-6774	186	53	pre	pre	ADJ
ejpam-6774	186	54	-	-	ADJ
ejpam-6774	186	55	reinvestment	reinvestment	ADJ
ejpam-6774	186	56	-	-	PUNCT
ejpam-6774	186	57	control	control	NOUN
ejpam-6774	186	58	system	system	NOUN
ejpam-6774	186	59	that	that	PRON
ejpam-6774	186	60	can	can	AUX
ejpam-6774	186	61	absorb	absorb	VERB
ejpam-6774	186	62	this	this	DET
ejpam-6774	186	63	unexpected	unexpected	ADJ
ejpam-6774	186	64	fall	fall	NOUN
ejpam-6774	186	65	in	in	ADP
ejpam-6774	186	66	profits	profit	NOUN
ejpam-6774	186	67	during	during	ADP
ejpam-6774	186	68	crises	crisis	NOUN
ejpam-6774	186	69	,	,	PUNCT
ejpam-6774	186	70	using	use	VERB
ejpam-6774	186	71	the	the	DET
ejpam-6774	186	72	optimal	optimal	ADJ
ejpam-6774	186	73	function	function	NOUN
ejpam-6774	186	74	to	to	PART
ejpam-6774	186	75	recommend	recommend	VERB
ejpam-6774	186	76	remedies	remedy	NOUN
ejpam-6774	186	77	.	.	PUNCT
ejpam-6774	187	1	simulations	simulation	NOUN
ejpam-6774	187	2	were	be	AUX
ejpam-6774	187	3	run	run	VERB
ejpam-6774	187	4	again	again	ADV
ejpam-6774	187	5	after	after	ADP
ejpam-6774	187	6	taking	take	VERB
ejpam-6774	187	7	the	the	DET
ejpam-6774	187	8	controlling	control	VERB
ejpam-6774	187	9	function	function	NOUN
ejpam-6774	187	10	into	into	ADP
ejpam-6774	187	11	account	account	NOUN
ejpam-6774	187	12	,	,	PUNCT
ejpam-6774	187	13	and	and	CCONJ
ejpam-6774	187	14	the	the	DET
ejpam-6774	187	15	outcomes	outcome	NOUN
ejpam-6774	187	16	demonstrate	demonstrate	VERB
ejpam-6774	187	17	how	how	SCONJ
ejpam-6774	187	18	the	the	DET
ejpam-6774	187	19	banks	bank	NOUN
ejpam-6774	187	20	’	’	PART
ejpam-6774	187	21	earnings	earning	NOUN
ejpam-6774	187	22	are	be	AUX
ejpam-6774	187	23	managed	manage	VERB
ejpam-6774	187	24	.	.	PUNCT
ejpam-6774	188	1	m.	m.	PROPN
ejpam-6774	188	2	adel	adel	PROPN
ejpam-6774	188	3	et	et	PROPN
ejpam-6774	188	4	al	al	PROPN
ejpam-6774	188	5	.	.	PUNCT
ejpam-6774	188	6	/	/	SYM
ejpam-6774	188	7	eur	eur	PROPN
ejpam-6774	188	8	.	.	PUNCT
ejpam-6774	189	1	j.	j.	PROPN
ejpam-6774	189	2	pure	pure	PROPN
ejpam-6774	189	3	appl	appl	PROPN
ejpam-6774	189	4	.	.	PROPN
ejpam-6774	189	5	math	math	PROPN
ejpam-6774	189	6	,	,	PUNCT
ejpam-6774	189	7	18	18	NUM
ejpam-6774	189	8	(	(	PUNCT
ejpam-6774	189	9	4	4	NUM
ejpam-6774	189	10	)	)	PUNCT
ejpam-6774	189	11	(	(	PUNCT
ejpam-6774	189	12	2025	2025	NUM
ejpam-6774	189	13	)	)	PUNCT
ejpam-6774	189	14	,	,	PUNCT
ejpam-6774	189	15	6774	6774	NUM
ejpam-6774	189	16	10	10	NUM
ejpam-6774	189	17	of	of	ADP
ejpam-6774	189	18	16	16	NUM
ejpam-6774	189	19	fig	fig	NOUN
ejpam-6774	189	20	.	.	PUNCT
ejpam-6774	190	1	1	1	NUM
ejpam-6774	190	2	:	:	PUNCT
ejpam-6774	190	3	the	the	DET
ejpam-6774	190	4	approximate	approximate	ADJ
ejpam-6774	190	5	solution	solution	NOUN
ejpam-6774	190	6	with	with	ADP
ejpam-6774	190	7	various	various	ADJ
ejpam-6774	190	8	values	value	NOUN
ejpam-6774	190	9	of	of	ADP
ejpam-6774	190	10	%	%	NOUN
ejpam-6774	190	11	,	,	PUNCT
ejpam-6774	190	12	ξ	ξ	PROPN
ejpam-6774	190	13	.	.	NOUN
ejpam-6774	190	14	5.2	5.2	NUM
ejpam-6774	190	15	.	.	PUNCT
ejpam-6774	191	1	the	the	DET
ejpam-6774	191	2	brusselator	brusselator	NOUN
ejpam-6774	191	3	model	model	NOUN
ejpam-6774	191	4	we	we	PRON
ejpam-6774	191	5	will	will	AUX
ejpam-6774	191	6	show	show	VERB
ejpam-6774	191	7	a	a	DET
ejpam-6774	191	8	numerical	numerical	ADJ
ejpam-6774	191	9	simulation	simulation	NOUN
ejpam-6774	191	10	on	on	ADP
ejpam-6774	191	11	a	a	DET
ejpam-6774	191	12	test	test	NOUN
ejpam-6774	191	13	case	case	NOUN
ejpam-6774	191	14	of	of	ADP
ejpam-6774	191	15	the	the	DET
ejpam-6774	191	16	system	system	NOUN
ejpam-6774	191	17	,	,	PUNCT
ejpam-6774	191	18	to	to	PART
ejpam-6774	191	19	show	show	VERB
ejpam-6774	191	20	the	the	DET
ejpam-6774	191	21	quality	quality	NOUN
ejpam-6774	191	22	and	and	CCONJ
ejpam-6774	191	23	correctness	correctness	NOUN
ejpam-6774	191	24	of	of	ADP
ejpam-6774	191	25	the	the	DET
ejpam-6774	191	26	given	give	VERB
ejpam-6774	191	27	numerical	numerical	ADJ
ejpam-6774	191	28	method	method	NOUN
ejpam-6774	191	29	(	(	PUNCT
ejpam-6774	191	30	26	26	NUM
ejpam-6774	191	31	)	)	PUNCT
ejpam-6774	191	32	in	in	ADP
ejpam-6774	191	33	the	the	DET
ejpam-6774	191	34	interval	interval	NOUN
ejpam-6774	191	35	[	[	X
ejpam-6774	191	36	0	0	NUM
ejpam-6774	191	37	,	,	PUNCT
ejpam-6774	191	38	4	4	NUM
ejpam-6774	191	39	]	]	PUNCT
ejpam-6774	191	40	,	,	PUNCT
ejpam-6774	191	41	h	h	NOUN
ejpam-6774	191	42	=	=	NOUN
ejpam-6774	191	43	0.01	0.01	NUM
ejpam-6774	191	44	where	where	SCONJ
ejpam-6774	191	45	fractional	fractional	ADJ
ejpam-6774	191	46	order	order	NOUN
ejpam-6774	191	47	%	%	X
ejpam-6774	191	48	∈	∈	PROPN
ejpam-6774	191	49	(	(	PUNCT
ejpam-6774	191	50	0	0	NUM
ejpam-6774	191	51	,	,	PUNCT
ejpam-6774	191	52	1	1	NUM
ejpam-6774	191	53	]	]	PUNCT
ejpam-6774	191	54	,	,	PUNCT
ejpam-6774	191	55	and	and	CCONJ
ejpam-6774	191	56	fractal	fractal	ADJ
ejpam-6774	191	57	dimension	dimension	NOUN
ejpam-6774	191	58	ξ	ξ	PROPN
ejpam-6774	191	59	∈	∈	PROPN
ejpam-6774	191	60	(	(	PUNCT
ejpam-6774	191	61	0	0	NUM
ejpam-6774	191	62	,	,	PUNCT
ejpam-6774	191	63	1	1	NUM
ejpam-6774	191	64	]	]	PUNCT
ejpam-6774	191	65	,	,	PUNCT
ejpam-6774	191	66	with	with	ADP
ejpam-6774	191	67	different	different	ADJ
ejpam-6774	191	68	values	value	NOUN
ejpam-6774	191	69	of	of	ADP
ejpam-6774	191	70	δ	δ	PROPN
ejpam-6774	191	71	,	,	PUNCT
ejpam-6774	191	72	γ	γ	PROPN
ejpam-6774	191	73	,	,	PUNCT
ejpam-6774	191	74	with	with	ADP
ejpam-6774	191	75	initial	initial	ADJ
ejpam-6774	191	76	conditions	condition	NOUN
ejpam-6774	191	77	θ1,0	θ1,0	NOUN
ejpam-6774	191	78	=	=	PUNCT
ejpam-6774	191	79	θ2,0	θ2,0	PROPN
ejpam-6774	191	80	=	=	SYM
ejpam-6774	191	81	1	1	X
ejpam-6774	191	82	.	.	NUM
ejpam-6774	191	83	figures	figure	NOUN
ejpam-6774	191	84	5	5	NUM
ejpam-6774	191	85	-	-	SYM
ejpam-6774	191	86	8	8	NUM
ejpam-6774	191	87	give	give	VERB
ejpam-6774	191	88	the	the	DET
ejpam-6774	191	89	numerical	numerical	ADJ
ejpam-6774	191	90	solutions	solution	NOUN
ejpam-6774	191	91	for	for	ADP
ejpam-6774	191	92	the	the	DET
ejpam-6774	191	93	model	model	NOUN
ejpam-6774	191	94	under	under	ADP
ejpam-6774	191	95	consideration	consideration	NOUN
ejpam-6774	191	96	by	by	ADP
ejpam-6774	191	97	implementing	implement	VERB
ejpam-6774	191	98	the	the	DET
ejpam-6774	191	99	given	give	VERB
ejpam-6774	191	100	method	method	NOUN
ejpam-6774	191	101	.	.	PUNCT
ejpam-6774	192	1	(	(	PUNCT
ejpam-6774	192	2	i	i	NOUN
ejpam-6774	192	3	)	)	PUNCT
ejpam-6774	192	4	the	the	DET
ejpam-6774	192	5	behavior	behavior	NOUN
ejpam-6774	192	6	of	of	ADP
ejpam-6774	192	7	the	the	DET
ejpam-6774	192	8	approximate	approximate	ADJ
ejpam-6774	192	9	solution	solution	NOUN
ejpam-6774	192	10	is	be	AUX
ejpam-6774	192	11	shown	show	VERB
ejpam-6774	192	12	in	in	ADP
ejpam-6774	192	13	figure	figure	NOUN
ejpam-6774	192	14	5	5	NUM
ejpam-6774	192	15	using	use	VERB
ejpam-6774	192	16	different	different	ADJ
ejpam-6774	192	17	values	value	NOUN
ejpam-6774	192	18	of	of	ADP
ejpam-6774	192	19	%	%	NOUN
ejpam-6774	192	20	=	=	SYM
ejpam-6774	192	21	ξ	ξ	PROPN
ejpam-6774	192	22	=	=	SYM
ejpam-6774	192	23	1	1	NUM
ejpam-6774	192	24	,	,	PUNCT
ejpam-6774	192	25	0.9	0.9	NUM
ejpam-6774	192	26	,	,	PUNCT
ejpam-6774	192	27	0.8	0.8	NUM
ejpam-6774	192	28	,	,	PUNCT
ejpam-6774	192	29	0.7	0.7	NUM
ejpam-6774	192	30	,	,	PUNCT
ejpam-6774	192	31	with	with	ADP
ejpam-6774	192	32	δ	δ	PROPN
ejpam-6774	192	33	=	=	PUNCT
ejpam-6774	192	34	0.25	0.25	NUM
ejpam-6774	192	35	,	,	PUNCT
ejpam-6774	192	36	γ	γ	X
ejpam-6774	192	37	=	=	SYM
ejpam-6774	192	38	1	1	NUM
ejpam-6774	192	39	,	,	PUNCT
ejpam-6774	192	40	and	and	CCONJ
ejpam-6774	192	41	n	n	CCONJ
ejpam-6774	192	42	=	=	SYM
ejpam-6774	192	43	50	50	NUM
ejpam-6774	192	44	.	.	PUNCT
ejpam-6774	193	1	(	(	PUNCT
ejpam-6774	193	2	ii	ii	NOUN
ejpam-6774	193	3	)	)	PUNCT
ejpam-6774	193	4	in	in	ADP
ejpam-6774	193	5	figure	figure	NOUN
ejpam-6774	193	6	6	6	NUM
ejpam-6774	193	7	,	,	PUNCT
ejpam-6774	193	8	we	we	PRON
ejpam-6774	193	9	compare	compare	VERB
ejpam-6774	193	10	the	the	DET
ejpam-6774	193	11	outcomes	outcome	NOUN
ejpam-6774	193	12	obtained	obtain	VERB
ejpam-6774	193	13	by	by	ADP
ejpam-6774	193	14	the	the	DET
ejpam-6774	193	15	proposed	propose	VERB
ejpam-6774	193	16	strategy	strategy	NOUN
ejpam-6774	193	17	with	with	ADP
ejpam-6774	193	18	the	the	DET
ejpam-6774	193	19	outcomes	outcome	NOUN
ejpam-6774	193	20	produced	produce	VERB
ejpam-6774	193	21	by	by	ADP
ejpam-6774	193	22	utilizing	utilize	VERB
ejpam-6774	193	23	the	the	DET
ejpam-6774	193	24	rk4	rk4	NOUN
ejpam-6774	193	25	m	m	NOUN
ejpam-6774	193	26	at	at	ADP
ejpam-6774	193	27	(	(	PUNCT
ejpam-6774	193	28	%	%	NOUN
ejpam-6774	193	29	=	=	SYM
ejpam-6774	193	30	ξ	ξ	X
ejpam-6774	193	31	=	=	SYM
ejpam-6774	193	32	1	1	NUM
ejpam-6774	193	33	)	)	PUNCT
ejpam-6774	193	34	,	,	PUNCT
ejpam-6774	193	35	and	and	CCONJ
ejpam-6774	193	36	δ	δ	PROPN
ejpam-6774	193	37	=	=	SYM
ejpam-6774	193	38	0.0	0.0	NUM
ejpam-6774	193	39	,	,	PUNCT
ejpam-6774	193	40	γ	γ	NOUN
ejpam-6774	193	41	=	=	SYM
ejpam-6774	193	42	1	1	NUM
ejpam-6774	193	43	with	with	ADP
ejpam-6774	193	44	n	n	NOUN
ejpam-6774	193	45	=	=	SYM
ejpam-6774	193	46	90	90	NUM
ejpam-6774	193	47	.	.	PUNCT
ejpam-6774	194	1	(	(	PUNCT
ejpam-6774	194	2	iii	iii	NOUN
ejpam-6774	194	3	)	)	PUNCT
ejpam-6774	194	4	in	in	ADP
ejpam-6774	194	5	figure	figure	NOUN
ejpam-6774	194	6	7	7	NUM
ejpam-6774	194	7	,	,	PUNCT
ejpam-6774	194	8	we	we	PRON
ejpam-6774	194	9	demonstrate	demonstrate	VERB
ejpam-6774	194	10	the	the	DET
ejpam-6774	194	11	approximate	approximate	ADJ
ejpam-6774	194	12	solution	solution	NOUN
ejpam-6774	194	13	’s	’s	PART
ejpam-6774	194	14	behavior	behavior	NOUN
ejpam-6774	194	15	using	use	VERB
ejpam-6774	194	16	several	several	ADJ
ejpam-6774	194	17	values	value	NOUN
ejpam-6774	194	18	of	of	ADP
ejpam-6774	194	19	γ	γ	X
ejpam-6774	194	20	=	=	SYM
ejpam-6774	194	21	0.5	0.5	NUM
ejpam-6774	194	22	,	,	PUNCT
ejpam-6774	194	23	1.0	1.0	NUM
ejpam-6774	194	24	,	,	PUNCT
ejpam-6774	194	25	1.5	1.5	NUM
ejpam-6774	194	26	,	,	PUNCT
ejpam-6774	194	27	and	and	CCONJ
ejpam-6774	194	28	h	h	NOUN
ejpam-6774	194	29	=	=	NOUN
ejpam-6774	194	30	0.1	0.1	NUM
ejpam-6774	194	31	,	,	PUNCT
ejpam-6774	194	32	δ	δ	X
ejpam-6774	194	33	=	=	NOUN
ejpam-6774	194	34	0.2	0.2	NUM
ejpam-6774	194	35	at	at	ADP
ejpam-6774	194	36	(	(	PUNCT
ejpam-6774	194	37	%	%	NOUN
ejpam-6774	194	38	=	=	SYM
ejpam-6774	194	39	ξ	ξ	X
ejpam-6774	194	40	=	=	SYM
ejpam-6774	194	41	0.95	0.95	NUM
ejpam-6774	194	42	)	)	PUNCT
ejpam-6774	194	43	with	with	ADP
ejpam-6774	194	44	n	n	NOUN
ejpam-6774	194	45	=	=	SYM
ejpam-6774	194	46	90	90	NUM
ejpam-6774	194	47	.	.	PUNCT
ejpam-6774	195	1	(	(	PUNCT
ejpam-6774	195	2	iv	iv	X
ejpam-6774	195	3	)	)	PUNCT
ejpam-6774	195	4	in	in	ADP
ejpam-6774	195	5	figure	figure	NOUN
ejpam-6774	195	6	8	8	NUM
ejpam-6774	195	7	,	,	PUNCT
ejpam-6774	195	8	the	the	DET
ejpam-6774	195	9	approximation	approximation	NOUN
ejpam-6774	195	10	solution	solution	NOUN
ejpam-6774	195	11	’s	’s	PART
ejpam-6774	195	12	behavior	behavior	NOUN
ejpam-6774	195	13	using	use	VERB
ejpam-6774	195	14	various	various	ADJ
ejpam-6774	195	15	values	value	NOUN
ejpam-6774	195	16	δ	δ	X
ejpam-6774	195	17	=	=	SYM
ejpam-6774	195	18	0.0	0.0	NUM
ejpam-6774	195	19	,	,	PUNCT
ejpam-6774	195	20	0.5	0.5	NUM
ejpam-6774	195	21	,	,	PUNCT
ejpam-6774	195	22	1.0	1.0	NUM
ejpam-6774	195	23	,	,	PUNCT
ejpam-6774	195	24	and	and	CCONJ
ejpam-6774	195	25	γ	γ	X
ejpam-6774	195	26	=	=	SYM
ejpam-6774	195	27	0.2	0.2	NUM
ejpam-6774	195	28	is	be	AUX
ejpam-6774	195	29	presented	present	VERB
ejpam-6774	195	30	with	with	ADP
ejpam-6774	195	31	n	n	NOUN
ejpam-6774	195	32	=	=	SYM
ejpam-6774	195	33	75	75	NUM
ejpam-6774	195	34	.	.	PUNCT
ejpam-6774	196	1	m.	m.	PROPN
ejpam-6774	196	2	adel	adel	PROPN
ejpam-6774	196	3	et	et	PROPN
ejpam-6774	196	4	al	al	PROPN
ejpam-6774	196	5	.	.	PUNCT
ejpam-6774	196	6	/	/	SYM
ejpam-6774	196	7	eur	eur	PROPN
ejpam-6774	196	8	.	.	PUNCT
ejpam-6774	197	1	j.	j.	PROPN
ejpam-6774	197	2	pure	pure	PROPN
ejpam-6774	197	3	appl	appl	PROPN
ejpam-6774	197	4	.	.	PROPN
ejpam-6774	197	5	math	math	PROPN
ejpam-6774	197	6	,	,	PUNCT
ejpam-6774	197	7	18	18	NUM
ejpam-6774	197	8	(	(	PUNCT
ejpam-6774	197	9	4	4	NUM
ejpam-6774	197	10	)	)	PUNCT
ejpam-6774	197	11	(	(	PUNCT
ejpam-6774	197	12	2025	2025	NUM
ejpam-6774	197	13	)	)	PUNCT
ejpam-6774	197	14	,	,	PUNCT
ejpam-6774	197	15	6774	6774	NUM
ejpam-6774	197	16	11	11	NUM
ejpam-6774	197	17	of	of	ADP
ejpam-6774	197	18	16	16	NUM
ejpam-6774	197	19	fig	fig	NOUN
ejpam-6774	197	20	.	.	PUNCT
ejpam-6774	198	1	2	2	NUM
ejpam-6774	198	2	:	:	PUNCT
ejpam-6774	198	3	the	the	DET
ejpam-6774	198	4	numerical	numerical	ADJ
ejpam-6774	198	5	solution	solution	NOUN
ejpam-6774	198	6	by	by	ADP
ejpam-6774	198	7	present	present	ADJ
ejpam-6774	198	8	method	method	NOUN
ejpam-6774	198	9	and	and	CCONJ
ejpam-6774	198	10	rk4	rk4	NOUN
ejpam-6774	198	11	m	m	NOUN
ejpam-6774	198	12	at	at	ADP
ejpam-6774	198	13	%	%	NOUN
ejpam-6774	198	14	=	=	SYM
ejpam-6774	198	15	ξ	ξ	PROPN
ejpam-6774	198	16	=	=	SYM
ejpam-6774	198	17	1	1	X
ejpam-6774	198	18	.	.	PUNCT
ejpam-6774	199	1	the	the	DET
ejpam-6774	199	2	results	result	NOUN
ejpam-6774	199	3	shown	show	VERB
ejpam-6774	199	4	in	in	ADP
ejpam-6774	199	5	figures	figure	NOUN
ejpam-6774	199	6	5	5	NUM
ejpam-6774	199	7	-	-	SYM
ejpam-6774	199	8	8	8	NUM
ejpam-6774	199	9	demonstrate	demonstrate	VERB
ejpam-6774	199	10	that	that	SCONJ
ejpam-6774	199	11	the	the	DET
ejpam-6774	199	12	behavior	behavior	NOUN
ejpam-6774	199	13	of	of	ADP
ejpam-6774	199	14	the	the	DET
ejpam-6774	199	15	approximate	approximate	ADJ
ejpam-6774	199	16	solution	solution	NOUN
ejpam-6774	199	17	derived	derive	VERB
ejpam-6774	199	18	from	from	ADP
ejpam-6774	199	19	the	the	DET
ejpam-6774	199	20	specified	specify	VERB
ejpam-6774	199	21	technique	technique	NOUN
ejpam-6774	199	22	is	be	AUX
ejpam-6774	199	23	contingent	contingent	ADJ
ejpam-6774	199	24	upon	upon	SCONJ
ejpam-6774	199	25	the	the	DET
ejpam-6774	199	26	values	value	NOUN
ejpam-6774	199	27	of	of	ADP
ejpam-6774	199	28	γ	γ	PROPN
ejpam-6774	199	29	,	,	PUNCT
ejpam-6774	199	30	δ	δ	PROPN
ejpam-6774	199	31	,	,	PUNCT
ejpam-6774	199	32	fractional	fractional	ADJ
ejpam-6774	199	33	order	order	NOUN
ejpam-6774	199	34	%	%	NOUN
ejpam-6774	199	35	,	,	PUNCT
ejpam-6774	199	36	and	and	CCONJ
ejpam-6774	199	37	fractal	fractal	ADJ
ejpam-6774	199	38	dimension	dimension	PROPN
ejpam-6774	199	39	ξ	ξ	X
ejpam-6774	199	40	.	.	PUNCT
ejpam-6774	200	1	this	this	PRON
ejpam-6774	200	2	signifies	signify	VERB
ejpam-6774	200	3	that	that	SCONJ
ejpam-6774	200	4	the	the	DET
ejpam-6774	200	5	given	give	VERB
ejpam-6774	200	6	scheme	scheme	NOUN
ejpam-6774	200	7	is	be	AUX
ejpam-6774	200	8	suitable	suitable	ADJ
ejpam-6774	200	9	for	for	ADP
ejpam-6774	200	10	addressing	address	VERB
ejpam-6774	200	11	the	the	DET
ejpam-6774	200	12	studied	studied	ADJ
ejpam-6774	200	13	system	system	NOUN
ejpam-6774	200	14	.	.	PUNCT
ejpam-6774	201	1	fig	fig	NOUN
ejpam-6774	201	2	.	.	PUNCT
ejpam-6774	202	1	5	5	NUM
ejpam-6774	202	2	:	:	PUNCT
ejpam-6774	202	3	the	the	DET
ejpam-6774	202	4	solution	solution	NOUN
ejpam-6774	202	5	θ1(t	θ1(t	PROPN
ejpam-6774	202	6	)	)	PUNCT
ejpam-6774	202	7	,	,	PUNCT
ejpam-6774	202	8	θ2(t	θ2(t	PROPN
ejpam-6774	202	9	)	)	PUNCT
ejpam-6774	202	10	against	against	ADP
ejpam-6774	202	11	distinct	distinct	ADJ
ejpam-6774	202	12	values	value	NOUN
ejpam-6774	202	13	of	of	ADP
ejpam-6774	202	14	ξ	ξ	PROPN
ejpam-6774	202	15	=	=	SYM
ejpam-6774	202	16	%	%	NOUN
ejpam-6774	202	17	.	.	PUNCT
ejpam-6774	203	1	m.	m.	PROPN
ejpam-6774	203	2	adel	adel	PROPN
ejpam-6774	203	3	et	et	PROPN
ejpam-6774	203	4	al	al	PROPN
ejpam-6774	203	5	.	.	PUNCT
ejpam-6774	203	6	/	/	SYM
ejpam-6774	203	7	eur	eur	PROPN
ejpam-6774	203	8	.	.	PUNCT
ejpam-6774	204	1	j.	j.	PROPN
ejpam-6774	204	2	pure	pure	PROPN
ejpam-6774	204	3	appl	appl	PROPN
ejpam-6774	204	4	.	.	PROPN
ejpam-6774	204	5	math	math	PROPN
ejpam-6774	204	6	,	,	PUNCT
ejpam-6774	204	7	18	18	NUM
ejpam-6774	204	8	(	(	PUNCT
ejpam-6774	204	9	4	4	NUM
ejpam-6774	204	10	)	)	PUNCT
ejpam-6774	204	11	(	(	PUNCT
ejpam-6774	204	12	2025	2025	NUM
ejpam-6774	204	13	)	)	PUNCT
ejpam-6774	204	14	,	,	PUNCT
ejpam-6774	204	15	6774	6774	NUM
ejpam-6774	204	16	12	12	NUM
ejpam-6774	204	17	of	of	ADP
ejpam-6774	204	18	16	16	NUM
ejpam-6774	204	19	fig	fig	NOUN
ejpam-6774	204	20	.	.	PUNCT
ejpam-6774	205	1	3	3	NUM
ejpam-6774	205	2	:	:	PUNCT
ejpam-6774	205	3	the	the	DET
ejpam-6774	205	4	numerical	numerical	ADJ
ejpam-6774	205	5	solution	solution	NOUN
ejpam-6774	205	6	with	with	ADP
ejpam-6774	205	7	optimal	optimal	ADJ
ejpam-6774	205	8	control	control	NOUN
ejpam-6774	205	9	by	by	ADP
ejpam-6774	205	10	present	present	ADJ
ejpam-6774	205	11	method	method	NOUN
ejpam-6774	205	12	(	(	PUNCT
ejpam-6774	205	13	%	%	NOUN
ejpam-6774	205	14	=	=	NOUN
ejpam-6774	205	15	0.95	0.95	NUM
ejpam-6774	205	16	)	)	PUNCT
ejpam-6774	205	17	and	and	CCONJ
ejpam-6774	205	18	rk4	rk4	NOUN
ejpam-6774	205	19	m	m	NOUN
ejpam-6774	205	20	(	(	PUNCT
ejpam-6774	205	21	%	%	NOUN
ejpam-6774	205	22	=	=	SYM
ejpam-6774	205	23	1	1	NUM
ejpam-6774	205	24	)	)	PUNCT
ejpam-6774	205	25	.	.	PUNCT
ejpam-6774	206	1	fig	fig	NOUN
ejpam-6774	206	2	.	.	PUNCT
ejpam-6774	207	1	6	6	NUM
ejpam-6774	207	2	:	:	PUNCT
ejpam-6774	207	3	the	the	DET
ejpam-6774	207	4	solution	solution	NOUN
ejpam-6774	207	5	θ1(t	θ1(t	PROPN
ejpam-6774	207	6	)	)	PUNCT
ejpam-6774	207	7	,	,	PUNCT
ejpam-6774	207	8	θ2(t	θ2(t	PROPN
ejpam-6774	207	9	)	)	PUNCT
ejpam-6774	207	10	by	by	ADP
ejpam-6774	207	11	the	the	DET
ejpam-6774	207	12	present	present	ADJ
ejpam-6774	207	13	method	method	NOUN
ejpam-6774	207	14	and	and	CCONJ
ejpam-6774	207	15	the	the	DET
ejpam-6774	207	16	rk4	rk4	PROPN
ejpam-6774	207	17	m.	m.	NOUN
ejpam-6774	207	18	m.	m.	NOUN
ejpam-6774	207	19	adel	adel	PROPN
ejpam-6774	207	20	et	et	PROPN
ejpam-6774	207	21	al	al	PROPN
ejpam-6774	207	22	.	.	PUNCT
ejpam-6774	207	23	/	/	SYM
ejpam-6774	207	24	eur	eur	PROPN
ejpam-6774	207	25	.	.	PUNCT
ejpam-6774	208	1	j.	j.	PROPN
ejpam-6774	208	2	pure	pure	PROPN
ejpam-6774	208	3	appl	appl	PROPN
ejpam-6774	208	4	.	.	PROPN
ejpam-6774	208	5	math	math	PROPN
ejpam-6774	208	6	,	,	PUNCT
ejpam-6774	208	7	18	18	NUM
ejpam-6774	208	8	(	(	PUNCT
ejpam-6774	208	9	4	4	NUM
ejpam-6774	208	10	)	)	PUNCT
ejpam-6774	208	11	(	(	PUNCT
ejpam-6774	208	12	2025	2025	NUM
ejpam-6774	208	13	)	)	PUNCT
ejpam-6774	208	14	,	,	PUNCT
ejpam-6774	208	15	6774	6774	NUM
ejpam-6774	208	16	13	13	NUM
ejpam-6774	208	17	of	of	ADP
ejpam-6774	208	18	16	16	NUM
ejpam-6774	208	19	fig	fig	NOUN
ejpam-6774	208	20	.	.	PUNCT
ejpam-6774	209	1	4	4	NUM
ejpam-6774	209	2	:	:	PUNCT
ejpam-6774	209	3	the	the	DET
ejpam-6774	209	4	approximate	approximate	ADJ
ejpam-6774	209	5	solution	solution	NOUN
ejpam-6774	209	6	with	with	ADP
ejpam-6774	209	7	and	and	CCONJ
ejpam-6774	209	8	without	without	ADP
ejpam-6774	209	9	optimal	optimal	ADJ
ejpam-6774	209	10	control	control	NOUN
ejpam-6774	209	11	against	against	ADP
ejpam-6774	209	12	distinct	distinct	ADJ
ejpam-6774	209	13	values	value	NOUN
ejpam-6774	209	14	of	of	ADP
ejpam-6774	209	15	n.	n.	PROPN
ejpam-6774	209	16	fig	fig	NOUN
ejpam-6774	209	17	.	.	PUNCT
ejpam-6774	210	1	7	7	NUM
ejpam-6774	210	2	:	:	PUNCT
ejpam-6774	210	3	the	the	DET
ejpam-6774	210	4	numerical	numerical	ADJ
ejpam-6774	210	5	solution	solution	NOUN
ejpam-6774	210	6	θ1(t	θ1(t	PROPN
ejpam-6774	210	7	)	)	PUNCT
ejpam-6774	210	8	,	,	PUNCT
ejpam-6774	210	9	θ2(t	θ2(t	PROPN
ejpam-6774	210	10	)	)	PUNCT
ejpam-6774	210	11	against	against	ADP
ejpam-6774	210	12	different	different	ADJ
ejpam-6774	210	13	values	value	NOUN
ejpam-6774	210	14	of	of	ADP
ejpam-6774	210	15	γ	γ	PROPN
ejpam-6774	210	16	.	.	PROPN
ejpam-6774	210	17	m.	m.	PROPN
ejpam-6774	210	18	adel	adel	PROPN
ejpam-6774	210	19	et	et	PROPN
ejpam-6774	210	20	al	al	PROPN
ejpam-6774	210	21	.	.	PUNCT
ejpam-6774	210	22	/	/	SYM
ejpam-6774	210	23	eur	eur	PROPN
ejpam-6774	210	24	.	.	PUNCT
ejpam-6774	211	1	j.	j.	PROPN
ejpam-6774	211	2	pure	pure	PROPN
ejpam-6774	211	3	appl	appl	PROPN
ejpam-6774	211	4	.	.	PROPN
ejpam-6774	211	5	math	math	PROPN
ejpam-6774	211	6	,	,	PUNCT
ejpam-6774	211	7	18	18	NUM
ejpam-6774	211	8	(	(	PUNCT
ejpam-6774	211	9	4	4	NUM
ejpam-6774	211	10	)	)	PUNCT
ejpam-6774	211	11	(	(	PUNCT
ejpam-6774	211	12	2025	2025	NUM
ejpam-6774	211	13	)	)	PUNCT
ejpam-6774	211	14	,	,	PUNCT
ejpam-6774	211	15	6774	6774	NUM
ejpam-6774	211	16	14	14	NUM
ejpam-6774	211	17	of	of	ADP
ejpam-6774	211	18	16	16	NUM
ejpam-6774	211	19	fig	fig	NOUN
ejpam-6774	211	20	.	.	PUNCT
ejpam-6774	212	1	8	8	NUM
ejpam-6774	212	2	:	:	PUNCT
ejpam-6774	212	3	the	the	DET
ejpam-6774	212	4	numerical	numerical	PROPN
ejpam-6774	212	5	solution	solution	NOUN
ejpam-6774	212	6	θ1(t	θ1(t	PROPN
ejpam-6774	212	7	)	)	PUNCT
ejpam-6774	212	8	,	,	PUNCT
ejpam-6774	212	9	θ2(t	θ2(t	PROPN
ejpam-6774	212	10	)	)	PUNCT
ejpam-6774	212	11	against	against	ADP
ejpam-6774	212	12	different	different	ADJ
ejpam-6774	212	13	values	value	NOUN
ejpam-6774	212	14	of	of	ADP
ejpam-6774	212	15	δ	δ	PROPN
ejpam-6774	212	16	.	.	PROPN
ejpam-6774	213	1	6	6	NUM
ejpam-6774	213	2	.	.	PUNCT
ejpam-6774	213	3	conclusions	conclusion	NOUN
ejpam-6774	213	4	this	this	DET
ejpam-6774	213	5	study	study	NOUN
ejpam-6774	213	6	delved	delve	VERB
ejpam-6774	213	7	into	into	ADP
ejpam-6774	213	8	two	two	NUM
ejpam-6774	213	9	significant	significant	ADJ
ejpam-6774	213	10	fractal	fractal	ADJ
ejpam-6774	213	11	-	-	PUNCT
ejpam-6774	213	12	fractional	fractional	ADJ
ejpam-6774	213	13	models	model	NOUN
ejpam-6774	213	14	:	:	PUNCT
ejpam-6774	213	15	the	the	DET
ejpam-6774	213	16	competition	competition	NOUN
ejpam-6774	213	17	among	among	ADP
ejpam-6774	213	18	egyptian	egyptian	ADJ
ejpam-6774	213	19	banks	bank	NOUN
ejpam-6774	213	20	and	and	CCONJ
ejpam-6774	213	21	the	the	DET
ejpam-6774	213	22	brusselator	brusselator	NOUN
ejpam-6774	213	23	system	system	NOUN
ejpam-6774	213	24	employing	employ	VERB
ejpam-6774	213	25	the	the	DET
ejpam-6774	213	26	fractal	fractal	ADJ
ejpam-6774	213	27	-	-	PUNCT
ejpam-6774	213	28	fractional	fractional	ADJ
ejpam-6774	213	29	derivative	derivative	ADJ
ejpam-6774	213	30	operator	operator	NOUN
ejpam-6774	213	31	and	and	CCONJ
ejpam-6774	213	32	fractional	fractional	ADJ
ejpam-6774	213	33	calculus	calculus	NOUN
ejpam-6774	213	34	methodologies	methodology	NOUN
ejpam-6774	213	35	.	.	PUNCT
ejpam-6774	214	1	we	we	PRON
ejpam-6774	214	2	investigated	investigate	VERB
ejpam-6774	214	3	several	several	ADJ
ejpam-6774	214	4	choices	choice	NOUN
ejpam-6774	214	5	of	of	ADP
ejpam-6774	214	6	fractional	fractional	ADJ
ejpam-6774	214	7	order	order	NOUN
ejpam-6774	214	8	(	(	PUNCT
ejpam-6774	214	9	%	%	NOUN
ejpam-6774	214	10	)	)	PUNCT
ejpam-6774	214	11	,	,	PUNCT
ejpam-6774	214	12	fractal	fractal	ADJ
ejpam-6774	214	13	dimension	dimension	NOUN
ejpam-6774	214	14	(	(	PUNCT
ejpam-6774	214	15	ξ	ξ	NOUN
ejpam-6774	214	16	)	)	PUNCT
ejpam-6774	214	17	,	,	PUNCT
ejpam-6774	214	18	and	and	CCONJ
ejpam-6774	214	19	step	step	NOUN
ejpam-6774	214	20	size	size	NOUN
ejpam-6774	214	21	(	(	PUNCT
ejpam-6774	214	22	h	h	NOUN
ejpam-6774	214	23	)	)	PUNCT
ejpam-6774	214	24	to	to	PART
ejpam-6774	214	25	address	address	VERB
ejpam-6774	214	26	these	these	DET
ejpam-6774	214	27	models	model	NOUN
ejpam-6774	214	28	.	.	PUNCT
ejpam-6774	215	1	our	our	PRON
ejpam-6774	215	2	method	method	NOUN
ejpam-6774	215	3	proves	prove	VERB
ejpam-6774	215	4	remarkably	remarkably	ADV
ejpam-6774	215	5	successful	successful	ADJ
ejpam-6774	215	6	in	in	ADP
ejpam-6774	215	7	modeling	model	VERB
ejpam-6774	215	8	these	these	DET
ejpam-6774	215	9	systems	system	NOUN
ejpam-6774	215	10	,	,	PUNCT
ejpam-6774	215	11	with	with	ADP
ejpam-6774	215	12	precision	precision	NOUN
ejpam-6774	215	13	regulated	regulate	VERB
ejpam-6774	215	14	by	by	ADP
ejpam-6774	215	15	reducing	reduce	VERB
ejpam-6774	215	16	h.	h.	PROPN
ejpam-6774	215	17	notably	notably	ADV
ejpam-6774	215	18	,	,	PUNCT
ejpam-6774	215	19	numerical	numerical	ADJ
ejpam-6774	215	20	simulations	simulation	NOUN
ejpam-6774	215	21	using	use	VERB
ejpam-6774	215	22	the	the	DET
ejpam-6774	215	23	ff	ff	NOUN
ejpam-6774	215	24	operator	operator	NOUN
ejpam-6774	215	25	outperform	outperform	VERB
ejpam-6774	215	26	the	the	DET
ejpam-6774	215	27	rk4	rk4	NOUN
ejpam-6774	215	28	approach	approach	NOUN
ejpam-6774	215	29	for	for	ADP
ejpam-6774	215	30	the	the	DET
ejpam-6774	215	31	models	model	NOUN
ejpam-6774	215	32	considered	consider	VERB
ejpam-6774	215	33	.	.	PUNCT
ejpam-6774	216	1	we	we	PRON
ejpam-6774	216	2	proposed	propose	VERB
ejpam-6774	216	3	a	a	DET
ejpam-6774	216	4	reinvestment	reinvestment	NOUN
ejpam-6774	216	5	-	-	PUNCT
ejpam-6774	216	6	control	control	NOUN
ejpam-6774	216	7	function	function	NOUN
ejpam-6774	216	8	to	to	PART
ejpam-6774	216	9	manage	manage	VERB
ejpam-6774	216	10	profit	profit	NOUN
ejpam-6774	216	11	loss	loss	NOUN
ejpam-6774	216	12	during	during	ADP
ejpam-6774	216	13	crises	crisis	NOUN
ejpam-6774	216	14	,	,	PUNCT
ejpam-6774	216	15	demonstrating	demonstrate	VERB
ejpam-6774	216	16	its	its	PRON
ejpam-6774	216	17	efficacy	efficacy	NOUN
ejpam-6774	216	18	through	through	ADP
ejpam-6774	216	19	simulation	simulation	NOUN
ejpam-6774	216	20	outcomes	outcome	NOUN
ejpam-6774	216	21	.	.	PUNCT
ejpam-6774	217	1	numerical	numerical	ADJ
ejpam-6774	217	2	simulations	simulation	NOUN
ejpam-6774	217	3	are	be	AUX
ejpam-6774	217	4	conducted	conduct	VERB
ejpam-6774	217	5	using	use	VERB
ejpam-6774	217	6	the	the	DET
ejpam-6774	217	7	mathematica	mathematica	PROPN
ejpam-6774	217	8	software	software	PROPN
ejpam-6774	217	9	package	package	NOUN
ejpam-6774	217	10	.	.	PUNCT
ejpam-6774	218	1	future	future	ADJ
ejpam-6774	218	2	endeavors	endeavor	NOUN
ejpam-6774	218	3	may	may	AUX
ejpam-6774	218	4	involve	involve	VERB
ejpam-6774	218	5	exploring	explore	VERB
ejpam-6774	218	6	alternative	alternative	ADJ
ejpam-6774	218	7	fractional	fractional	ADJ
ejpam-6774	218	8	derivatives	derivative	NOUN
ejpam-6774	218	9	.	.	PUNCT
ejpam-6774	219	1	extending	extend	VERB
ejpam-6774	219	2	the	the	DET
ejpam-6774	219	3	model	model	NOUN
ejpam-6774	219	4	to	to	ADP
ejpam-6774	219	5	two	two	NUM
ejpam-6774	219	6	-	-	PUNCT
ejpam-6774	219	7	dimensional	dimensional	ADJ
ejpam-6774	219	8	systems	system	NOUN
ejpam-6774	219	9	and	and	CCONJ
ejpam-6774	219	10	using	use	VERB
ejpam-6774	219	11	fractional	fractional	ADJ
ejpam-6774	219	12	variable	variable	ADJ
ejpam-6774	219	13	orders	order	NOUN
ejpam-6774	219	14	.	.	PUNCT
ejpam-6774	220	1	exploring	explore	VERB
ejpam-6774	220	2	real	real	ADJ
ejpam-6774	220	3	experimental	experimental	ADJ
ejpam-6774	220	4	data	datum	NOUN
ejpam-6774	220	5	validation	validation	NOUN
ejpam-6774	220	6	monitoring	monitoring	NOUN
ejpam-6774	220	7	stations	station	NOUN
ejpam-6774	220	8	.	.	PUNCT
ejpam-6774	221	1	developing	develop	VERB
ejpam-6774	221	2	efficient	efficient	ADJ
ejpam-6774	221	3	numerical	numerical	ADJ
ejpam-6774	221	4	solvers	solver	NOUN
ejpam-6774	221	5	tailored	tailor	VERB
ejpam-6774	221	6	for	for	ADP
ejpam-6774	221	7	non	non	ADJ
ejpam-6774	221	8	-	-	ADJ
ejpam-6774	221	9	singular	singular	ADJ
ejpam-6774	221	10	fractional	fractional	ADJ
ejpam-6774	221	11	kernels	kernel	NOUN
ejpam-6774	221	12	.	.	PUNCT
ejpam-6774	222	1	acknowledgements	acknowledgement	NOUN
ejpam-6774	222	2	the	the	DET
ejpam-6774	222	3	researchers	researcher	NOUN
ejpam-6774	222	4	wish	wish	VERB
ejpam-6774	222	5	to	to	PART
ejpam-6774	222	6	extend	extend	VERB
ejpam-6774	222	7	their	their	PRON
ejpam-6774	222	8	sincere	sincere	ADJ
ejpam-6774	222	9	gratitude	gratitude	NOUN
ejpam-6774	222	10	to	to	ADP
ejpam-6774	222	11	the	the	DET
ejpam-6774	222	12	deanship	deanship	NOUN
ejpam-6774	222	13	of	of	ADP
ejpam-6774	222	14	scientific	scientific	ADJ
ejpam-6774	222	15	research	research	NOUN
ejpam-6774	222	16	at	at	ADP
ejpam-6774	222	17	the	the	DET
ejpam-6774	222	18	islamic	islamic	PROPN
ejpam-6774	222	19	university	university	PROPN
ejpam-6774	222	20	of	of	ADP
ejpam-6774	222	21	madinah	madinah	PROPN
ejpam-6774	222	22	for	for	ADP
ejpam-6774	222	23	the	the	DET
ejpam-6774	222	24	support	support	NOUN
ejpam-6774	222	25	provided	provide	VERB
ejpam-6774	222	26	to	to	ADP
ejpam-6774	222	27	the	the	DET
ejpam-6774	222	28	postpublishing	postpublishe	VERB
ejpam-6774	222	29	program	program	NOUN
ejpam-6774	222	30	.	.	PUNCT
ejpam-6774	223	1	references	reference	NOUN
ejpam-6774	223	2	[	[	X
ejpam-6774	223	3	1	1	NUM
ejpam-6774	223	4	]	]	X
ejpam-6774	223	5	c.	c.	PROPN
ejpam-6774	223	6	michalakelis	michalakelis	PROPN
ejpam-6774	223	7	,	,	PUNCT
ejpam-6774	223	8	c.	c.	PROPN
ejpam-6774	223	9	christodoulos	christodoulos	PROPN
ejpam-6774	223	10	,	,	PUNCT
ejpam-6774	223	11	d.	d.	PROPN
ejpam-6774	223	12	varoutas	varoutas	PROPN
ejpam-6774	223	13	,	,	PUNCT
ejpam-6774	223	14	and	and	CCONJ
ejpam-6774	223	15	t.	t.	PROPN
ejpam-6774	223	16	sphicopoulos	sphicopoulos	PROPN
ejpam-6774	223	17	.	.	PUNCT
ejpam-6774	224	1	dynamic	dynamic	ADJ
ejpam-6774	224	2	estimation	estimation	NOUN
ejpam-6774	224	3	of	of	ADP
ejpam-6774	224	4	markets	market	NOUN
ejpam-6774	224	5	exhibiting	exhibit	VERB
ejpam-6774	224	6	a	a	DET
ejpam-6774	224	7	prey	prey	NOUN
ejpam-6774	224	8	-	-	PUNCT
ejpam-6774	224	9	predator	predator	NOUN
ejpam-6774	224	10	behavior	behavior	NOUN
ejpam-6774	224	11	.	.	PUNCT
ejpam-6774	225	1	expert	expert	NOUN
ejpam-6774	225	2	systems	system	NOUN
ejpam-6774	225	3	with	with	ADP
ejpam-6774	225	4	applications	application	NOUN
ejpam-6774	225	5	,	,	PUNCT
ejpam-6774	225	6	39:7690–7700	39:7690–7700	NUM
ejpam-6774	225	7	,	,	PUNCT
ejpam-6774	225	8	2012	2012	NUM
ejpam-6774	225	9	.	.	PUNCT
ejpam-6774	226	1	m.	m.	NOUN
ejpam-6774	226	2	adel	adel	PROPN
ejpam-6774	226	3	et	et	PROPN
ejpam-6774	226	4	al	al	PROPN
ejpam-6774	226	5	.	.	PUNCT
ejpam-6774	226	6	/	/	SYM
ejpam-6774	226	7	eur	eur	PROPN
ejpam-6774	226	8	.	.	PUNCT
ejpam-6774	227	1	j.	j.	PROPN
ejpam-6774	227	2	pure	pure	PROPN
ejpam-6774	227	3	appl	appl	PROPN
ejpam-6774	227	4	.	.	PROPN
ejpam-6774	227	5	math	math	PROPN
ejpam-6774	227	6	,	,	PUNCT
ejpam-6774	227	7	18	18	NUM
ejpam-6774	227	8	(	(	PUNCT
ejpam-6774	227	9	4	4	NUM
ejpam-6774	227	10	)	)	PUNCT
ejpam-6774	227	11	(	(	PUNCT
ejpam-6774	227	12	2025	2025	NUM
ejpam-6774	227	13	)	)	PUNCT
ejpam-6774	227	14	,	,	PUNCT
ejpam-6774	227	15	6774	6774	NUM
ejpam-6774	227	16	15	15	NUM
ejpam-6774	227	17	of	of	ADP
ejpam-6774	227	18	16	16	NUM
ejpam-6774	228	1	[	[	X
ejpam-6774	228	2	2	2	X
ejpam-6774	228	3	]	]	PUNCT
ejpam-6774	228	4	s.	s.	PROPN
ejpam-6774	228	5	lakka	lakka	PROPN
ejpam-6774	228	6	,	,	PUNCT
ejpam-6774	228	7	c.	c.	PROPN
ejpam-6774	228	8	michalakelis	michalakelis	PROPN
ejpam-6774	228	9	,	,	PUNCT
ejpam-6774	228	10	d.	d.	PROPN
ejpam-6774	228	11	varoutas	varoutas	PROPN
ejpam-6774	228	12	,	,	PUNCT
ejpam-6774	228	13	and	and	CCONJ
ejpam-6774	228	14	d.	d.	PROPN
ejpam-6774	228	15	martakos	martakos	PROPN
ejpam-6774	228	16	.	.	PUNCT
ejpam-6774	229	1	competitive	competitive	ADJ
ejpam-6774	229	2	dynamics	dynamic	NOUN
ejpam-6774	229	3	in	in	ADP
ejpam-6774	229	4	the	the	DET
ejpam-6774	229	5	operating	operating	NOUN
ejpam-6774	229	6	systems	system	NOUN
ejpam-6774	229	7	market	market	NOUN
ejpam-6774	229	8	:	:	PUNCT
ejpam-6774	229	9	modeling	modeling	NOUN
ejpam-6774	229	10	and	and	CCONJ
ejpam-6774	229	11	policy	policy	NOUN
ejpam-6774	229	12	implications	implication	NOUN
ejpam-6774	229	13	.	.	PUNCT
ejpam-6774	230	1	technological	technological	ADJ
ejpam-6774	230	2	forecasting	forecasting	NOUN
ejpam-6774	230	3	and	and	CCONJ
ejpam-6774	230	4	social	social	ADJ
ejpam-6774	230	5	change	change	NOUN
ejpam-6774	230	6	,	,	PUNCT
ejpam-6774	230	7	80:88–105	80:88–105	NUM
ejpam-6774	230	8	,	,	PUNCT
ejpam-6774	230	9	2013	2013	NUM
ejpam-6774	230	10	.	.	PUNCT
ejpam-6774	231	1	[	[	X
ejpam-6774	231	2	3	3	X
ejpam-6774	231	3	]	]	X
ejpam-6774	231	4	c.	c.	PROPN
ejpam-6774	231	5	zhu	zhu	PROPN
ejpam-6774	231	6	and	and	CCONJ
ejpam-6774	231	7	g.	g.	PROPN
ejpam-6774	231	8	yin	yin	PROPN
ejpam-6774	231	9	.	.	PUNCT
ejpam-6774	232	1	on	on	ADP
ejpam-6774	232	2	competitive	competitive	ADJ
ejpam-6774	232	3	lotka	lotka	PROPN
ejpam-6774	232	4	-	-	PUNCT
ejpam-6774	232	5	volterra	volterra	NOUN
ejpam-6774	232	6	model	model	NOUN
ejpam-6774	232	7	in	in	ADP
ejpam-6774	232	8	random	random	ADJ
ejpam-6774	232	9	environments	environment	NOUN
ejpam-6774	232	10	.	.	PUNCT
ejpam-6774	233	1	journal	journal	NOUN
ejpam-6774	233	2	of	of	ADP
ejpam-6774	233	3	mathematical	mathematical	ADJ
ejpam-6774	233	4	analysis	analysis	NOUN
ejpam-6774	233	5	and	and	CCONJ
ejpam-6774	233	6	applications	application	NOUN
ejpam-6774	233	7	,	,	PUNCT
ejpam-6774	233	8	357:154–170	357:154–170	NUM
ejpam-6774	233	9	,	,	PUNCT
ejpam-6774	233	10	2009	2009	NUM
ejpam-6774	233	11	.	.	PUNCT
ejpam-6774	234	1	[	[	X
ejpam-6774	234	2	4	4	X
ejpam-6774	234	3	]	]	PUNCT
ejpam-6774	234	4	c.	c.	PROPN
ejpam-6774	234	5	a.	a.	NOUN
ejpam-6774	234	6	comes	come	VERB
ejpam-6774	234	7	.	.	PUNCT
ejpam-6774	235	1	banking	banking	NOUN
ejpam-6774	235	2	system	system	NOUN
ejpam-6774	235	3	:	:	PUNCT
ejpam-6774	235	4	three	three	NUM
ejpam-6774	235	5	-	-	PUNCT
ejpam-6774	235	6	level	level	NOUN
ejpam-6774	235	7	lotka	lotka	PROPN
ejpam-6774	235	8	-	-	PUNCT
ejpam-6774	235	9	volterra	volterra	PROPN
ejpam-6774	235	10	model	model	NOUN
ejpam-6774	235	11	.	.	PUNCT
ejpam-6774	236	1	procedia	procedia	NOUN
ejpam-6774	236	2	economics	economic	NOUN
ejpam-6774	236	3	and	and	CCONJ
ejpam-6774	236	4	finance	finance	NOUN
ejpam-6774	236	5	,	,	PUNCT
ejpam-6774	236	6	3:251–255	3:251–255	NUM
ejpam-6774	236	7	,	,	PUNCT
ejpam-6774	236	8	2012	2012	NUM
ejpam-6774	236	9	.	.	PUNCT
ejpam-6774	237	1	[	[	X
ejpam-6774	237	2	5	5	X
ejpam-6774	237	3	]	]	PUNCT
ejpam-6774	237	4	w.	w.	PROPN
ejpam-6774	237	5	wang	wang	PROPN
ejpam-6774	237	6	and	and	CCONJ
ejpam-6774	237	7	m.	m.	PROPN
ejpam-6774	237	8	a.	a.	PROPN
ejpam-6774	237	9	khan	khan	PROPN
ejpam-6774	237	10	.	.	PUNCT
ejpam-6774	238	1	analysis	analysis	NOUN
ejpam-6774	238	2	and	and	CCONJ
ejpam-6774	238	3	numerical	numerical	PROPN
ejpam-6774	238	4	simulation	simulation	NOUN
ejpam-6774	238	5	of	of	ADP
ejpam-6774	238	6	the	the	DET
ejpam-6774	238	7	fractional	fractional	ADJ
ejpam-6774	238	8	model	model	NOUN
ejpam-6774	238	9	of	of	ADP
ejpam-6774	238	10	bank	bank	NOUN
ejpam-6774	238	11	data	datum	NOUN
ejpam-6774	238	12	with	with	ADP
ejpam-6774	238	13	fractal	fractal	ADJ
ejpam-6774	238	14	-	-	PUNCT
ejpam-6774	238	15	fractional	fractional	ADJ
ejpam-6774	238	16	atangana	atangana	PROPN
ejpam-6774	238	17	-	-	PUNCT
ejpam-6774	238	18	baleanu	baleanu	PROPN
ejpam-6774	238	19	derivative	derivative	NOUN
ejpam-6774	238	20	.	.	PUNCT
ejpam-6774	239	1	journal	journal	PROPN
ejpam-6774	239	2	of	of	ADP
ejpam-6774	239	3	computational	computational	ADJ
ejpam-6774	239	4	and	and	CCONJ
ejpam-6774	239	5	applied	applied	ADJ
ejpam-6774	239	6	mathematics	mathematic	NOUN
ejpam-6774	239	7	,	,	PUNCT
ejpam-6774	239	8	369:112646	369:112646	NUM
ejpam-6774	239	9	,	,	PUNCT
ejpam-6774	239	10	2019	2019	NUM
ejpam-6774	239	11	.	.	PUNCT
ejpam-6774	240	1	[	[	X
ejpam-6774	240	2	6	6	NUM
ejpam-6774	240	3	]	]	PUNCT
ejpam-6774	240	4	x.	x.	NOUN
ejpam-6774	240	5	gong	gong	PROPN
ejpam-6774	240	6	and	and	CCONJ
ejpam-6774	240	7	f.	f.	PROPN
ejpam-6774	240	8	m.	m.	PROPN
ejpam-6774	240	9	a.	a.	PROPN
ejpam-6774	240	10	khan	khan	PROPN
ejpam-6774	240	11	.	.	PUNCT
ejpam-6774	241	1	a	a	DET
ejpam-6774	241	2	new	new	ADJ
ejpam-6774	241	3	numerical	numerical	ADJ
ejpam-6774	241	4	solution	solution	NOUN
ejpam-6774	241	5	of	of	ADP
ejpam-6774	241	6	the	the	DET
ejpam-6774	241	7	competition	competition	NOUN
ejpam-6774	241	8	model	model	NOUN
ejpam-6774	241	9	among	among	ADP
ejpam-6774	241	10	bank	bank	NOUN
ejpam-6774	241	11	data	datum	NOUN
ejpam-6774	241	12	in	in	ADP
ejpam-6774	241	13	caputo	caputo	PROPN
ejpam-6774	241	14	-	-	PUNCT
ejpam-6774	241	15	fabrizio	fabrizio	PROPN
ejpam-6774	241	16	derivative	derivative	NOUN
ejpam-6774	241	17	.	.	PUNCT
ejpam-6774	242	1	alexandria	alexandria	PROPN
ejpam-6774	242	2	engineering	engineering	PROPN
ejpam-6774	242	3	journal	journal	PROPN
ejpam-6774	242	4	,	,	PUNCT
ejpam-6774	242	5	59:2251–2259	59:2251–2259	NUM
ejpam-6774	242	6	,	,	PUNCT
ejpam-6774	242	7	2020	2020	NUM
ejpam-6774	242	8	.	.	PUNCT
ejpam-6774	243	1	[	[	X
ejpam-6774	243	2	7	7	NUM
ejpam-6774	243	3	]	]	X
ejpam-6774	243	4	central	central	ADJ
ejpam-6774	243	5	bank	bank	PROPN
ejpam-6774	243	6	of	of	ADP
ejpam-6774	243	7	egypt	egypt	PROPN
ejpam-6774	243	8	(	(	PUNCT
ejpam-6774	243	9	cbe	cbe	PROPN
ejpam-6774	243	10	)	)	PUNCT
ejpam-6774	243	11	.	.	PUNCT
ejpam-6774	244	1	central	central	PROPN
ejpam-6774	244	2	bank	bank	PROPN
ejpam-6774	244	3	of	of	ADP
ejpam-6774	244	4	egypt	egypt	PROPN
ejpam-6774	244	5	official	official	ADJ
ejpam-6774	244	6	website	website	NOUN
ejpam-6774	244	7	,	,	PUNCT
ejpam-6774	244	8	2023	2023	NUM
ejpam-6774	244	9	.	.	PUNCT
ejpam-6774	244	10	accessed	access	VERB
ejpam-6774	244	11	:	:	PUNCT
ejpam-6774	244	12	10	10	NUM
ejpam-6774	244	13	february	february	NOUN
ejpam-6774	244	14	2023	2023	NUM
ejpam-6774	244	15	.	.	PUNCT
ejpam-6774	245	1	[	[	X
ejpam-6774	245	2	8	8	NUM
ejpam-6774	245	3	]	]	X
ejpam-6774	245	4	o.	o.	PROPN
ejpam-6774	245	5	a.	a.	PROPN
ejpam-6774	245	6	m.	m.	PROPN
ejpam-6774	245	7	omar	omar	PROPN
ejpam-6774	245	8	,	,	PUNCT
ejpam-6774	245	9	h.	h.	PROPN
ejpam-6774	245	10	m.	m.	PROPN
ejpam-6774	245	11	ahmed	ahmed	PROPN
ejpam-6774	245	12	,	,	PUNCT
ejpam-6774	245	13	and	and	CCONJ
ejpam-6774	245	14	w.	w.	PROPN
ejpam-6774	245	15	hamdy	hamdy	PROPN
ejpam-6774	245	16	.	.	PUNCT
ejpam-6774	246	1	investigation	investigation	NOUN
ejpam-6774	246	2	of	of	ADP
ejpam-6774	246	3	egyptian	egyptian	ADJ
ejpam-6774	246	4	banks	bank	NOUN
ejpam-6774	246	5	’	'	PUNCT
ejpam-6774	246	6	competition	competition	NOUN
ejpam-6774	246	7	through	through	ADP
ejpam-6774	246	8	a	a	DET
ejpam-6774	246	9	riesz	riesz	PROPN
ejpam-6774	246	10	-	-	PUNCT
ejpam-6774	246	11	caputo	caputo	PROPN
ejpam-6774	246	12	fractional	fractional	PROPN
ejpam-6774	246	13	model	model	PROPN
ejpam-6774	246	14	.	.	PUNCT
ejpam-6774	247	1	fractal	fractal	PROPN
ejpam-6774	247	2	and	and	CCONJ
ejpam-6774	247	3	fractional	fractional	ADJ
ejpam-6774	247	4	,	,	PUNCT
ejpam-6774	247	5	7(473):1–21	7(473):1–21	NUM
ejpam-6774	247	6	,	,	PUNCT
ejpam-6774	247	7	2023	2023	NUM
ejpam-6774	247	8	.	.	PUNCT
ejpam-6774	248	1	[	[	X
ejpam-6774	248	2	9	9	NUM
ejpam-6774	248	3	]	]	PUNCT
ejpam-6774	248	4	v.	v.	ADP
ejpam-6774	248	5	gafiychuk	gafiychuk	NOUN
ejpam-6774	248	6	and	and	CCONJ
ejpam-6774	248	7	b.	b.	PROPN
ejpam-6774	248	8	datsko	datsko	PROPN
ejpam-6774	248	9	.	.	PUNCT
ejpam-6774	249	1	stability	stability	NOUN
ejpam-6774	249	2	analysis	analysis	NOUN
ejpam-6774	249	3	and	and	CCONJ
ejpam-6774	249	4	limit	limit	VERB
ejpam-6774	249	5	cycle	cycle	NOUN
ejpam-6774	249	6	in	in	ADP
ejpam-6774	249	7	a	a	DET
ejpam-6774	249	8	fractional	fractional	ADJ
ejpam-6774	249	9	system	system	NOUN
ejpam-6774	249	10	with	with	ADP
ejpam-6774	249	11	brusselator	brusselator	NOUN
ejpam-6774	249	12	nonlinearities	nonlinearitie	NOUN
ejpam-6774	249	13	.	.	PUNCT
ejpam-6774	250	1	physics	physics	NOUN
ejpam-6774	250	2	letters	letter	NOUN
ejpam-6774	250	3	a	a	PRON
ejpam-6774	250	4	,	,	PUNCT
ejpam-6774	250	5	372(29):4902–4904	372(29):4902–4904	NUM
ejpam-6774	250	6	,	,	PUNCT
ejpam-6774	250	7	2008	2008	NUM
ejpam-6774	250	8	.	.	PUNCT
ejpam-6774	251	1	[	[	X
ejpam-6774	251	2	10	10	NUM
ejpam-6774	251	3	]	]	X
ejpam-6774	251	4	y.	y.	PROPN
ejpam-6774	251	5	wang	wang	PROPN
ejpam-6774	251	6	and	and	CCONJ
ejpam-6774	251	7	c.	c.	PROPN
ejpam-6774	251	8	li	li	PROPN
ejpam-6774	251	9	.	.	PROPN
ejpam-6774	251	10	does	do	AUX
ejpam-6774	251	11	the	the	DET
ejpam-6774	251	12	fractional	fractional	ADJ
ejpam-6774	251	13	brusselator	brusselator	NOUN
ejpam-6774	251	14	with	with	ADP
ejpam-6774	251	15	efficient	efficient	ADJ
ejpam-6774	251	16	dimension	dimension	NOUN
ejpam-6774	251	17	less	less	ADJ
ejpam-6774	251	18	than	than	ADP
ejpam-6774	251	19	1	1	NUM
ejpam-6774	251	20	have	have	VERB
ejpam-6774	251	21	a	a	DET
ejpam-6774	251	22	limit	limit	NOUN
ejpam-6774	251	23	cycle	cycle	NOUN
ejpam-6774	251	24	?	?	PUNCT
ejpam-6774	252	1	physics	physics	NOUN
ejpam-6774	252	2	letters	letter	NOUN
ejpam-6774	252	3	a	a	PRON
ejpam-6774	252	4	,	,	PUNCT
ejpam-6774	252	5	363(5):414–419	363(5):414–419	NUM
ejpam-6774	252	6	,	,	PUNCT
ejpam-6774	252	7	2007	2007	NUM
ejpam-6774	252	8	.	.	PUNCT
ejpam-6774	253	1	[	[	X
ejpam-6774	253	2	11	11	NUM
ejpam-6774	253	3	]	]	X
ejpam-6774	253	4	n.	n.	PROPN
ejpam-6774	253	5	h.	h.	PROPN
ejpam-6774	253	6	sweilam	sweilam	PROPN
ejpam-6774	253	7	,	,	PUNCT
ejpam-6774	253	8	m.	m.	NOUN
ejpam-6774	253	9	m.	m.	NOUN
ejpam-6774	253	10	khader	khader	PROPN
ejpam-6774	253	11	,	,	PUNCT
ejpam-6774	253	12	and	and	CCONJ
ejpam-6774	253	13	m.	m.	PROPN
ejpam-6774	253	14	adel	adel	PROPN
ejpam-6774	253	15	.	.	PROPN
ejpam-6774	254	1	numerical	numerical	PROPN
ejpam-6774	254	2	simulation	simulation	PROPN
ejpam-6774	254	3	of	of	ADP
ejpam-6774	254	4	fractional	fractional	ADJ
ejpam-6774	254	5	cable	cable	NOUN
ejpam-6774	254	6	equation	equation	NOUN
ejpam-6774	254	7	of	of	ADP
ejpam-6774	254	8	spiny	spiny	ADJ
ejpam-6774	254	9	neuronal	neuronal	ADJ
ejpam-6774	254	10	dendrites	dendrite	NOUN
ejpam-6774	254	11	.	.	PUNCT
ejpam-6774	255	1	journal	journal	NOUN
ejpam-6774	255	2	of	of	ADP
ejpam-6774	255	3	advanced	advanced	ADJ
ejpam-6774	255	4	research	research	NOUN
ejpam-6774	255	5	,	,	PUNCT
ejpam-6774	255	6	5(2):253–259	5(2):253–259	NOUN
ejpam-6774	255	7	,	,	PUNCT
ejpam-6774	255	8	2014	2014	NUM
ejpam-6774	255	9	.	.	PUNCT
ejpam-6774	256	1	[	[	X
ejpam-6774	256	2	12	12	NUM
ejpam-6774	256	3	]	]	PUNCT
ejpam-6774	256	4	m.	m.	NOUN
ejpam-6774	256	5	m.	m.	NOUN
ejpam-6774	256	6	khader	khader	PROPN
ejpam-6774	256	7	,	,	PUNCT
ejpam-6774	256	8	n.	n.	PROPN
ejpam-6774	256	9	h.	h.	PROPN
ejpam-6774	256	10	sweilam	sweilam	PROPN
ejpam-6774	256	11	,	,	PUNCT
ejpam-6774	256	12	and	and	CCONJ
ejpam-6774	256	13	a.	a.	NOUN
ejpam-6774	256	14	m.	m.	PROPN
ejpam-6774	256	15	s.	s.	PROPN
ejpam-6774	256	16	mahdy	mahdy	PROPN
ejpam-6774	256	17	.	.	PUNCT
ejpam-6774	257	1	two	two	NUM
ejpam-6774	257	2	computational	computational	ADJ
ejpam-6774	257	3	algorithms	algorithm	NOUN
ejpam-6774	257	4	for	for	ADP
ejpam-6774	257	5	the	the	DET
ejpam-6774	257	6	numerical	numerical	ADJ
ejpam-6774	257	7	solution	solution	NOUN
ejpam-6774	257	8	for	for	ADP
ejpam-6774	257	9	system	system	NOUN
ejpam-6774	257	10	of	of	ADP
ejpam-6774	257	11	fractional	fractional	ADJ
ejpam-6774	257	12	differential	differential	ADJ
ejpam-6774	257	13	equations	equation	NOUN
ejpam-6774	257	14	.	.	PUNCT
ejpam-6774	258	1	arab	arab	PROPN
ejpam-6774	258	2	journal	journal	PROPN
ejpam-6774	258	3	of	of	ADP
ejpam-6774	258	4	mathematical	mathematical	ADJ
ejpam-6774	258	5	sciences	science	NOUN
ejpam-6774	258	6	,	,	PUNCT
ejpam-6774	258	7	21(1):39–52	21(1):39–52	NUM
ejpam-6774	258	8	,	,	PUNCT
ejpam-6774	258	9	2015	2015	NUM
ejpam-6774	258	10	.	.	PUNCT
ejpam-6774	259	1	[	[	X
ejpam-6774	259	2	13	13	NUM
ejpam-6774	259	3	]	]	PUNCT
ejpam-6774	259	4	s.	s.	PROPN
ejpam-6774	259	5	qureshi	qureshi	PROPN
ejpam-6774	259	6	and	and	CCONJ
ejpam-6774	259	7	a.	a.	PROPN
ejpam-6774	259	8	yusuf	yusuf	PROPN
ejpam-6774	259	9	.	.	PUNCT
ejpam-6774	260	1	fractional	fractional	ADJ
ejpam-6774	260	2	derivatives	derivative	NOUN
ejpam-6774	260	3	applied	apply	VERB
ejpam-6774	260	4	to	to	ADP
ejpam-6774	260	5	mseir	mseir	NOUN
ejpam-6774	260	6	problems	problem	NOUN
ejpam-6774	260	7	:	:	PUNCT
ejpam-6774	260	8	comparative	comparative	ADJ
ejpam-6774	260	9	study	study	NOUN
ejpam-6774	260	10	with	with	ADP
ejpam-6774	260	11	real	real	ADJ
ejpam-6774	260	12	-	-	PUNCT
ejpam-6774	260	13	world	world	NOUN
ejpam-6774	260	14	data	datum	NOUN
ejpam-6774	260	15	.	.	PUNCT
ejpam-6774	261	1	the	the	DET
ejpam-6774	261	2	european	european	PROPN
ejpam-6774	261	3	physical	physical	PROPN
ejpam-6774	261	4	journal	journal	PROPN
ejpam-6774	261	5	plus	plus	CCONJ
ejpam-6774	261	6	,	,	PUNCT
ejpam-6774	261	7	134:171	134:171	NOUN
ejpam-6774	261	8	,	,	PUNCT
ejpam-6774	261	9	2019	2019	NUM
ejpam-6774	261	10	.	.	PUNCT
ejpam-6774	262	1	[	[	X
ejpam-6774	262	2	14	14	NUM
ejpam-6774	262	3	]	]	PUNCT
ejpam-6774	262	4	m.	m.	NOUN
ejpam-6774	262	5	p.	p.	NOUN
ejpam-6774	262	6	yadav	yadav	PROPN
ejpam-6774	262	7	and	and	CCONJ
ejpam-6774	262	8	r.	r.	PROPN
ejpam-6774	262	9	agarwal	agarwal	PROPN
ejpam-6774	262	10	.	.	PUNCT
ejpam-6774	263	1	numerical	numerical	PROPN
ejpam-6774	263	2	investigation	investigation	NOUN
ejpam-6774	263	3	of	of	ADP
ejpam-6774	263	4	fractional	fractional	ADJ
ejpam-6774	263	5	-	-	PUNCT
ejpam-6774	263	6	fractal	fractal	ADJ
ejpam-6774	263	7	boussinesq	boussinesq	ADJ
ejpam-6774	263	8	equation	equation	NOUN
ejpam-6774	263	9	.	.	PUNCT
ejpam-6774	264	1	chaos	chaos	NOUN
ejpam-6774	264	2	,	,	PUNCT
ejpam-6774	264	3	29(1):0131	29(1):0131	NUM
ejpam-6774	264	4	,	,	PUNCT
ejpam-6774	264	5	2019	2019	NUM
ejpam-6774	264	6	.	.	PUNCT
ejpam-6774	265	1	[	[	X
ejpam-6774	265	2	15	15	NUM
ejpam-6774	265	3	]	]	PUNCT
ejpam-6774	265	4	k.	k.	PROPN
ejpam-6774	265	5	m.	m.	PROPN
ejpam-6774	265	6	owolabi	owolabi	NOUN
ejpam-6774	265	7	,	,	PUNCT
ejpam-6774	265	8	a.	a.	PROPN
ejpam-6774	265	9	atangana	atangana	PROPN
ejpam-6774	265	10	,	,	PUNCT
ejpam-6774	265	11	and	and	CCONJ
ejpam-6774	265	12	a.	a.	NOUN
ejpam-6774	265	13	akgül	akgül	NOUN
ejpam-6774	265	14	.	.	PUNCT
ejpam-6774	266	1	modelling	modelling	NOUN
ejpam-6774	266	2	and	and	CCONJ
ejpam-6774	266	3	analysis	analysis	NOUN
ejpam-6774	266	4	of	of	ADP
ejpam-6774	266	5	fractalfractional	fractalfractional	ADJ
ejpam-6774	266	6	partial	partial	ADJ
ejpam-6774	266	7	differential	differential	NOUN
ejpam-6774	266	8	equations	equation	NOUN
ejpam-6774	266	9	:	:	PUNCT
ejpam-6774	266	10	application	application	NOUN
ejpam-6774	266	11	to	to	ADP
ejpam-6774	266	12	reaction	reaction	NOUN
ejpam-6774	266	13	-	-	PUNCT
ejpam-6774	266	14	diffusion	diffusion	NOUN
ejpam-6774	266	15	model	model	NOUN
ejpam-6774	266	16	.	.	PUNCT
ejpam-6774	267	1	alexandria	alexandria	PROPN
ejpam-6774	267	2	engineering	engineering	PROPN
ejpam-6774	267	3	journal	journal	PROPN
ejpam-6774	267	4	,	,	PUNCT
ejpam-6774	267	5	59(4):2477–2490	59(4):2477–2490	NUM
ejpam-6774	267	6	,	,	PUNCT
ejpam-6774	267	7	2020	2020	NUM
ejpam-6774	267	8	.	.	PUNCT
ejpam-6774	268	1	[	[	X
ejpam-6774	268	2	16	16	NUM
ejpam-6774	268	3	]	]	X
ejpam-6774	268	4	d.	d.	PROPN
ejpam-6774	268	5	mittal	mittal	PROPN
ejpam-6774	268	6	.	.	PUNCT
ejpam-6774	269	1	a	a	DET
ejpam-6774	269	2	study	study	NOUN
ejpam-6774	269	3	for	for	ADP
ejpam-6774	269	4	application	application	NOUN
ejpam-6774	269	5	of	of	ADP
ejpam-6774	269	6	decision	decision	NOUN
ejpam-6774	269	7	-	-	PUNCT
ejpam-6774	269	8	making	make	VERB
ejpam-6774	269	9	model	model	NOUN
ejpam-6774	269	10	in	in	ADP
ejpam-6774	269	11	a	a	DET
ejpam-6774	269	12	public	public	ADJ
ejpam-6774	269	13	organization	organization	NOUN
ejpam-6774	269	14	.	.	PUNCT
ejpam-6774	270	1	spectrum	spectrum	NOUN
ejpam-6774	270	2	of	of	ADP
ejpam-6774	270	3	operational	operational	ADJ
ejpam-6774	270	4	research	research	NOUN
ejpam-6774	270	5	,	,	PUNCT
ejpam-6774	270	6	3(41):183–192	3(41):183–192	NUM
ejpam-6774	270	7	,	,	PUNCT
ejpam-6774	270	8	2026	2026	NUM
ejpam-6774	270	9	.	.	PUNCT
ejpam-6774	271	1	[	[	X
ejpam-6774	271	2	17	17	NUM
ejpam-6774	271	3	]	]	PUNCT
ejpam-6774	271	4	a.	a.	PROPN
ejpam-6774	271	5	biswas	biswas	PROPN
ejpam-6774	271	6	,	,	PUNCT
ejpam-6774	271	7	k.	k.	PROPN
ejpam-6774	271	8	h.	h.	PROPN
ejpam-6774	271	9	gazi	gazi	PROPN
ejpam-6774	271	10	,	,	PUNCT
ejpam-6774	271	11	s.	s.	PROPN
ejpam-6774	271	12	p.	p.	PROPN
ejpam-6774	271	13	mondal	mondal	PROPN
ejpam-6774	271	14	,	,	PUNCT
ejpam-6774	271	15	and	and	CCONJ
ejpam-6774	271	16	a.	a.	PROPN
ejpam-6774	271	17	ghosh	ghosh	PROPN
ejpam-6774	271	18	.	.	PUNCT
ejpam-6774	272	1	a	a	DET
ejpam-6774	272	2	decision	decision	NOUN
ejpam-6774	272	3	-	-	PUNCT
ejpam-6774	272	4	making	make	VERB
ejpam-6774	272	5	framework	framework	NOUN
ejpam-6774	272	6	for	for	ADP
ejpam-6774	272	7	sustainable	sustainable	ADJ
ejpam-6774	272	8	highway	highway	NOUN
ejpam-6774	272	9	restaurant	restaurant	NOUN
ejpam-6774	272	10	site	site	NOUN
ejpam-6774	272	11	selection	selection	NOUN
ejpam-6774	272	12	:	:	PUNCT
ejpam-6774	272	13	ahp	ahp	NOUN
ejpam-6774	272	14	-	-	PUNCT
ejpam-6774	272	15	topsis	topsis	NOUN
ejpam-6774	272	16	approach	approach	NOUN
ejpam-6774	272	17	based	base	VERB
ejpam-6774	272	18	on	on	ADP
ejpam-6774	272	19	the	the	DET
ejpam-6774	272	20	fuzzy	fuzzy	ADJ
ejpam-6774	272	21	numbers	number	NOUN
ejpam-6774	272	22	.	.	PUNCT
ejpam-6774	273	1	spectrum	spectrum	NOUN
ejpam-6774	273	2	of	of	ADP
ejpam-6774	273	3	operational	operational	ADJ
ejpam-6774	273	4	research	research	NOUN
ejpam-6774	273	5	,	,	PUNCT
ejpam-6774	273	6	2(1):1–26	2(1):1–26	NUM
ejpam-6774	273	7	,	,	PUNCT
ejpam-6774	273	8	2025	2025	NUM
ejpam-6774	273	9	.	.	PUNCT
ejpam-6774	274	1	[	[	X
ejpam-6774	274	2	18	18	NUM
ejpam-6774	274	3	]	]	X
ejpam-6774	274	4	h.	h.	PROPN
ejpam-6774	274	5	jafari	jafari	PROPN
ejpam-6774	274	6	,	,	PUNCT
ejpam-6774	274	7	abdelouahab	abdelouahab	PROPN
ejpam-6774	274	8	kadem	kadem	NOUN
ejpam-6774	274	9	,	,	PUNCT
ejpam-6774	274	10	and	and	CCONJ
ejpam-6774	274	11	d.	d.	PROPN
ejpam-6774	274	12	baleanu	baleanu	PROPN
ejpam-6774	274	13	.	.	PUNCT
ejpam-6774	275	1	variational	variational	ADJ
ejpam-6774	275	2	iteration	iteration	NOUN
ejpam-6774	275	3	method	method	NOUN
ejpam-6774	275	4	for	for	ADP
ejpam-6774	275	5	a	a	DET
ejpam-6774	275	6	fractional	fractional	ADJ
ejpam-6774	275	7	-	-	PUNCT
ejpam-6774	275	8	order	order	NOUN
ejpam-6774	275	9	brusselator	brusselator	NOUN
ejpam-6774	275	10	system	system	NOUN
ejpam-6774	275	11	.	.	PUNCT
ejpam-6774	276	1	abstract	abstract	ADJ
ejpam-6774	276	2	and	and	CCONJ
ejpam-6774	276	3	applied	apply	VERB
ejpam-6774	276	4	analysis	analysis	NOUN
ejpam-6774	276	5	,	,	PUNCT
ejpam-6774	276	6	page	page	NOUN
ejpam-6774	276	7	496323	496323	NUM
ejpam-6774	276	8	,	,	PUNCT
ejpam-6774	276	9	m.	m.	NOUN
ejpam-6774	276	10	adel	adel	PROPN
ejpam-6774	276	11	et	et	PROPN
ejpam-6774	276	12	al	al	PROPN
ejpam-6774	276	13	.	.	PUNCT
ejpam-6774	276	14	/	/	SYM
ejpam-6774	276	15	eur	eur	PROPN
ejpam-6774	276	16	.	.	PUNCT
ejpam-6774	277	1	j.	j.	PROPN
ejpam-6774	277	2	pure	pure	PROPN
ejpam-6774	277	3	appl	appl	PROPN
ejpam-6774	277	4	.	.	PROPN
ejpam-6774	277	5	math	math	PROPN
ejpam-6774	277	6	,	,	PUNCT
ejpam-6774	277	7	18	18	NUM
ejpam-6774	277	8	(	(	PUNCT
ejpam-6774	277	9	4	4	NUM
ejpam-6774	277	10	)	)	PUNCT
ejpam-6774	277	11	(	(	PUNCT
ejpam-6774	277	12	2025	2025	NUM
ejpam-6774	277	13	)	)	PUNCT
ejpam-6774	277	14	,	,	PUNCT
ejpam-6774	277	15	6774	6774	NUM
ejpam-6774	277	16	16	16	NUM
ejpam-6774	277	17	of	of	ADP
ejpam-6774	277	18	16	16	NUM
ejpam-6774	277	19	2014	2014	NUM
ejpam-6774	277	20	.	.	PUNCT
ejpam-6774	278	1	[	[	X
ejpam-6774	278	2	19	19	NUM
ejpam-6774	278	3	]	]	PUNCT
ejpam-6774	278	4	m.	m.	NOUN
ejpam-6774	278	5	adel	adel	PROPN
ejpam-6774	278	6	,	,	PUNCT
ejpam-6774	278	7	h.	h.	PROPN
ejpam-6774	278	8	m.	m.	PROPN
ejpam-6774	278	9	srivastava	srivastava	PROPN
ejpam-6774	278	10	,	,	PUNCT
ejpam-6774	278	11	and	and	CCONJ
ejpam-6774	278	12	m.	m.	NOUN
ejpam-6774	278	13	m.	m.	NOUN
ejpam-6774	278	14	khader	khader	PROPN
ejpam-6774	278	15	.	.	PUNCT
ejpam-6774	279	1	modeling	modeling	PROPN
ejpam-6774	279	2	and	and	CCONJ
ejpam-6774	279	3	numerical	numerical	PROPN
ejpam-6774	279	4	simulation	simulation	NOUN
ejpam-6774	279	5	for	for	ADP
ejpam-6774	279	6	covering	cover	VERB
ejpam-6774	279	7	the	the	DET
ejpam-6774	279	8	fractional	fractional	ADJ
ejpam-6774	279	9	covid-19	covid-19	PROPN
ejpam-6774	279	10	model	model	NOUN
ejpam-6774	279	11	using	use	VERB
ejpam-6774	279	12	spectral	spectral	ADJ
ejpam-6774	279	13	collocation	collocation	NOUN
ejpam-6774	279	14	-	-	PUNCT
ejpam-6774	279	15	optimization	optimization	NOUN
ejpam-6774	279	16	algorithms	algorithm	NOUN
ejpam-6774	279	17	.	.	PUNCT
ejpam-6774	280	1	fractal	fractal	ADJ
ejpam-6774	280	2	and	and	CCONJ
ejpam-6774	280	3	fractional	fractional	ADJ
ejpam-6774	280	4	,	,	PUNCT
ejpam-6774	280	5	6:1–19	6:1–19	NUM
ejpam-6774	280	6	,	,	PUNCT
ejpam-6774	280	7	2022	2022	NUM
ejpam-6774	280	8	.	.	PUNCT
ejpam-6774	281	1	[	[	X
ejpam-6774	281	2	20	20	NUM
ejpam-6774	281	3	]	]	PUNCT
ejpam-6774	281	4	a.	a.	NOUN
ejpam-6774	281	5	atangana	atangana	PROPN
ejpam-6774	281	6	,	,	PUNCT
ejpam-6774	281	7	a.	a.	NOUN
ejpam-6774	281	8	akgül	akgül	NOUN
ejpam-6774	281	9	,	,	PUNCT
ejpam-6774	281	10	and	and	CCONJ
ejpam-6774	281	11	k.	k.	PROPN
ejpam-6774	281	12	m.	m.	NOUN
ejpam-6774	281	13	owolabi	owolabi	NOUN
ejpam-6774	281	14	.	.	PUNCT
ejpam-6774	282	1	analysis	analysis	NOUN
ejpam-6774	282	2	of	of	ADP
ejpam-6774	282	3	fractal	fractal	ADJ
ejpam-6774	282	4	fractional	fractional	ADJ
ejpam-6774	282	5	differential	differential	ADJ
ejpam-6774	282	6	equations	equation	NOUN
ejpam-6774	282	7	.	.	PUNCT
ejpam-6774	283	1	alexandria	alexandria	PROPN
ejpam-6774	283	2	engineering	engineering	PROPN
ejpam-6774	283	3	journal	journal	PROPN
ejpam-6774	283	4	,	,	PUNCT
ejpam-6774	283	5	59(3):1117–1134	59(3):1117–1134	NUM
ejpam-6774	283	6	,	,	PUNCT
ejpam-6774	283	7	2020	2020	NUM
ejpam-6774	283	8	.	.	PUNCT
ejpam-6774	284	1	[	[	X
ejpam-6774	284	2	21	21	NUM
ejpam-6774	284	3	]	]	PUNCT
ejpam-6774	284	4	z.	z.	PROPN
ejpam-6774	284	5	li	li	PROPN
ejpam-6774	284	6	,	,	PUNCT
ejpam-6774	284	7	z.	z.	PROPN
ejpam-6774	284	8	liu	liu	PROPN
ejpam-6774	284	9	,	,	PUNCT
ejpam-6774	284	10	and	and	CCONJ
ejpam-6774	284	11	m.	m.	PROPN
ejpam-6774	284	12	a.	a.	PROPN
ejpam-6774	284	13	khan	khan	PROPN
ejpam-6774	284	14	.	.	PUNCT
ejpam-6774	285	1	fractional	fractional	ADJ
ejpam-6774	285	2	investigation	investigation	NOUN
ejpam-6774	285	3	of	of	ADP
ejpam-6774	285	4	bank	bank	NOUN
ejpam-6774	285	5	data	datum	NOUN
ejpam-6774	285	6	with	with	ADP
ejpam-6774	285	7	fractalfractional	fractalfractional	PROPN
ejpam-6774	285	8	caputo	caputo	PROPN
ejpam-6774	285	9	derivative	derivative	PROPN
ejpam-6774	285	10	.	.	PUNCT
ejpam-6774	286	1	chaos	chaos	NOUN
ejpam-6774	286	2	,	,	PUNCT
ejpam-6774	286	3	solitons	soliton	NOUN
ejpam-6774	286	4	&	&	CCONJ
ejpam-6774	286	5	fractals	fractal	NOUN
ejpam-6774	286	6	,	,	PUNCT
ejpam-6774	286	7	131:109528	131:109528	NUM
ejpam-6774	286	8	,	,	PUNCT
ejpam-6774	286	9	2020	2020	NUM
ejpam-6774	286	10	.	.	PUNCT
ejpam-6774	287	1	[	[	X
ejpam-6774	287	2	22	22	NUM
ejpam-6774	287	3	]	]	PUNCT
ejpam-6774	287	4	m.	m.	NOUN
ejpam-6774	287	5	adel	adel	PROPN
ejpam-6774	287	6	and	and	CCONJ
ejpam-6774	287	7	m.	m.	PROPN
ejpam-6774	287	8	m.	m.	NOUN
ejpam-6774	287	9	khader	khader	PROPN
ejpam-6774	287	10	.	.	PUNCT
ejpam-6774	288	1	theoretical	theoretical	ADJ
ejpam-6774	288	2	and	and	CCONJ
ejpam-6774	288	3	numerical	numerical	ADJ
ejpam-6774	288	4	treatment	treatment	NOUN
ejpam-6774	288	5	for	for	ADP
ejpam-6774	288	6	the	the	DET
ejpam-6774	288	7	fractalfractional	fractalfractional	ADJ
ejpam-6774	288	8	model	model	NOUN
ejpam-6774	288	9	of	of	ADP
ejpam-6774	288	10	pollution	pollution	NOUN
ejpam-6774	288	11	for	for	ADP
ejpam-6774	288	12	a	a	DET
ejpam-6774	288	13	system	system	NOUN
ejpam-6774	288	14	of	of	ADP
ejpam-6774	288	15	lakes	lake	NOUN
ejpam-6774	288	16	using	use	VERB
ejpam-6774	288	17	an	an	DET
ejpam-6774	288	18	efficient	efficient	ADJ
ejpam-6774	288	19	numerical	numerical	ADJ
ejpam-6774	288	20	technique	technique	NOUN
ejpam-6774	288	21	.	.	PUNCT
ejpam-6774	289	1	alexandria	alexandria	PROPN
ejpam-6774	289	2	engineering	engineering	PROPN
ejpam-6774	289	3	journal	journal	PROPN
ejpam-6774	289	4	,	,	PUNCT
ejpam-6774	289	5	82:415–425	82:415–425	NUM
ejpam-6774	289	6	,	,	PUNCT
ejpam-6774	289	7	2023	2023	NUM
ejpam-6774	289	8	.	.	PUNCT
ejpam-6774	290	1	[	[	X
ejpam-6774	290	2	23	23	NUM
ejpam-6774	290	3	]	]	X
ejpam-6774	290	4	r.	r.	PROPN
ejpam-6774	290	5	s.	s.	PROPN
ejpam-6774	290	6	sharp	sharp	PROPN
ejpam-6774	290	7	and	and	CCONJ
ejpam-6774	290	8	h.	h.	PROPN
ejpam-6774	290	9	peng	peng	PROPN
ejpam-6774	290	10	.	.	PUNCT
ejpam-6774	291	1	vehicle	vehicle	NOUN
ejpam-6774	291	2	dynamics	dynamic	NOUN
ejpam-6774	291	3	applications	application	NOUN
ejpam-6774	291	4	of	of	ADP
ejpam-6774	291	5	optimal	optimal	ADJ
ejpam-6774	291	6	control	control	NOUN
ejpam-6774	291	7	theory	theory	NOUN
ejpam-6774	291	8	.	.	PUNCT
ejpam-6774	292	1	vehicle	vehicle	NOUN
ejpam-6774	292	2	system	system	NOUN
ejpam-6774	292	3	dynamics	dynamic	NOUN
ejpam-6774	292	4	,	,	PUNCT
ejpam-6774	292	5	49:1073–1111	49:1073–1111	NUM
ejpam-6774	292	6	,	,	PUNCT
ejpam-6774	292	7	2011	2011	NUM
ejpam-6774	292	8	.	.	PUNCT
ejpam-6774	293	1	[	[	X
ejpam-6774	293	2	24	24	NUM
ejpam-6774	293	3	]	]	PUNCT
ejpam-6774	293	4	m.	m.	NOUN
ejpam-6774	293	5	adel	adel	PROPN
ejpam-6774	293	6	,	,	PUNCT
ejpam-6774	293	7	h.	h.	PROPN
ejpam-6774	293	8	m.	m.	PROPN
ejpam-6774	293	9	srivastava	srivastava	PROPN
ejpam-6774	293	10	,	,	PUNCT
ejpam-6774	293	11	and	and	CCONJ
ejpam-6774	293	12	m.	m.	NOUN
ejpam-6774	293	13	m.	m.	NOUN
ejpam-6774	293	14	khader	khader	PROPN
ejpam-6774	293	15	.	.	PUNCT
ejpam-6774	294	1	implementation	implementation	NOUN
ejpam-6774	294	2	of	of	ADP
ejpam-6774	294	3	an	an	DET
ejpam-6774	294	4	accurate	accurate	ADJ
ejpam-6774	294	5	method	method	NOUN
ejpam-6774	294	6	for	for	ADP
ejpam-6774	294	7	the	the	DET
ejpam-6774	294	8	analysis	analysis	NOUN
ejpam-6774	294	9	and	and	CCONJ
ejpam-6774	294	10	simulation	simulation	NOUN
ejpam-6774	294	11	of	of	ADP
ejpam-6774	294	12	electrical	electrical	ADJ
ejpam-6774	294	13	r	r	NOUN
ejpam-6774	294	14	-	-	PUNCT
ejpam-6774	294	15	l	l	NOUN
ejpam-6774	294	16	circuits	circuit	NOUN
ejpam-6774	294	17	.	.	PUNCT
ejpam-6774	295	1	mathematical	mathematical	ADJ
ejpam-6774	295	2	methods	method	NOUN
ejpam-6774	295	3	in	in	ADP
ejpam-6774	295	4	the	the	DET
ejpam-6774	295	5	applied	apply	VERB
ejpam-6774	295	6	sciences	science	NOUN
ejpam-6774	295	7	,	,	PUNCT
ejpam-6774	295	8	12:1–10	12:1–10	NUM
ejpam-6774	295	9	,	,	PUNCT
ejpam-6774	295	10	2022	2022	NUM
ejpam-6774	295	11	.	.	PUNCT