id	sid	tid	token	lemma	pos
easat-7172	1	1	edelweiss	edelweiss	PROPN
easat-7172	1	2	applied	apply	VERB
easat-7172	1	3	science	science	NOUN
easat-7172	1	4	and	and	CCONJ
easat-7172	1	5	technology	technology	NOUN
easat-7172	1	6	issn	issn	PROPN
easat-7172	1	7	:	:	PUNCT
easat-7172	1	8	2576	2576	NUM
easat-7172	1	9	-	-	SYM
easat-7172	1	10	8484	8484	NUM
easat-7172	1	11	vol	vol	NOUN
easat-7172	1	12	.	.	PROPN
easat-7172	2	1	9	9	NUM
easat-7172	2	2	,	,	PUNCT
easat-7172	2	3	no	no	INTJ
easat-7172	2	4	.	.	NOUN
easat-7172	2	5	5	5	NUM
easat-7172	2	6	,	,	PUNCT
easat-7172	2	7	1393	1393	NUM
easat-7172	2	8	-	-	SYM
easat-7172	2	9	1405	1405	NUM
easat-7172	2	10	2025	2025	NUM
easat-7172	2	11	publisher	publisher	NOUN
easat-7172	2	12	:	:	PUNCT
easat-7172	2	13	learning	learn	VERB
easat-7172	2	14	gate	gate	NOUN
easat-7172	2	15	doi	doi	PROPN
easat-7172	2	16	:	:	PUNCT
easat-7172	2	17	10.55214/25768484.v9i5.7172	10.55214/25768484.v9i5.7172	NUM
easat-7172	2	18	©	©	PROPN
easat-7172	2	19	2025	2025	NUM
easat-7172	2	20	by	by	ADP
easat-7172	2	21	the	the	DET
easat-7172	2	22	author	author	NOUN
easat-7172	2	23	;	;	PUNCT
easat-7172	2	24	licensee	licensee	PROPN
easat-7172	2	25	learning	learning	NOUN
easat-7172	2	26	gate	gate	NOUN
easat-7172	3	1	©	©	PROPN
easat-7172	3	2	2025	2025	NUM
easat-7172	3	3	by	by	ADP
easat-7172	3	4	the	the	DET
easat-7172	3	5	author	author	NOUN
easat-7172	3	6	;	;	PUNCT
easat-7172	3	7	licensee	licensee	PROPN
easat-7172	3	8	learning	learning	NOUN
easat-7172	3	9	gate	gate	NOUN
easat-7172	3	10	history	history	NOUN
easat-7172	3	11	:	:	PUNCT
easat-7172	3	12	received	receive	VERB
easat-7172	3	13	:	:	PUNCT
easat-7172	3	14	12	12	NUM
easat-7172	3	15	february	february	NOUN
easat-7172	3	16	2025	2025	NUM
easat-7172	3	17	;	;	PUNCT
easat-7172	3	18	revised	revise	VERB
easat-7172	3	19	:	:	PUNCT
easat-7172	3	20	22	22	NUM
easat-7172	3	21	april	april	PROPN
easat-7172	3	22	2025	2025	NUM
easat-7172	3	23	;	;	PUNCT
easat-7172	3	24	accepted	accept	VERB
easat-7172	3	25	:	:	PUNCT
easat-7172	3	26	25	25	NUM
easat-7172	3	27	april	april	PROPN
easat-7172	3	28	2025	2025	NUM
easat-7172	3	29	;	;	PUNCT
easat-7172	3	30	published	publish	VERB
easat-7172	3	31	:	:	PUNCT
easat-7172	3	32	14	14	NUM
easat-7172	3	33	may	may	PROPN
easat-7172	3	34	2025	2025	NUM
easat-7172	3	35	*	*	PUNCT
easat-7172	3	36	correspondence	correspondence	NOUN
easat-7172	3	37	:	:	PUNCT
easat-7172	3	38	m.fadlallah@qu.edu.sa	m.fadlallah@qu.edu.sa	PROPN
easat-7172	3	39	solution	solution	NOUN
easat-7172	3	40	of	of	ADP
easat-7172	3	41	neutrosophic	neutrosophic	ADJ
easat-7172	3	42	fractional	fractional	ADJ
easat-7172	3	43	differential	differential	ADJ
easat-7172	3	44	equations	equation	NOUN
easat-7172	3	45	by	by	ADP
easat-7172	3	46	neutrosophic	neutrosophic	ADJ
easat-7172	3	47	extension	extension	NOUN
easat-7172	3	48	principal	principal	NOUN
easat-7172	3	49	method	method	NOUN
easat-7172	4	1	mohammed	mohammed	PROPN
easat-7172	4	2	nour	nour	PROPN
easat-7172	4	3	a.	a.	NOUN
easat-7172	4	4	rabih1	rabih1	PROPN
easat-7172	5	1	*	*	PUNCT
easat-7172	6	1	1department	1department	NUM
easat-7172	6	2	of	of	ADP
easat-7172	6	3	mathematics	mathematic	NOUN
easat-7172	6	4	,	,	PUNCT
easat-7172	6	5	college	college	NOUN
easat-7172	6	6	of	of	ADP
easat-7172	6	7	science	science	NOUN
easat-7172	6	8	,	,	PUNCT
easat-7172	6	9	qassim	qassim	PROPN
easat-7172	6	10	university	university	PROPN
easat-7172	6	11	,	,	PUNCT
easat-7172	6	12	buraydah	buraydah	NOUN
easat-7172	6	13	51452	51452	NUM
easat-7172	6	14	,	,	PUNCT
easat-7172	6	15	saudi	saudi	PROPN
easat-7172	6	16	arabia	arabia	PROPN
easat-7172	6	17	;	;	PUNCT
easat-7172	6	18	m.fadlallah@qu.edu.sa	m.fadlallah@qu.edu.sa	PROPN
easat-7172	6	19	,	,	PUNCT
easat-7172	6	20	mohammednoor81@gmail.co	mohammednoor81@gmail.co	PROPN
easat-7172	6	21	(	(	PUNCT
easat-7172	6	22	m.n.a.r	m.n.a.r	PROPN
easat-7172	6	23	.	.	PROPN
easat-7172	6	24	)	)	PUNCT
easat-7172	6	25	.	.	PUNCT
easat-7172	7	1	abstract	abstract	ADV
easat-7172	7	2	:	:	PUNCT
easat-7172	7	3	this	this	DET
easat-7172	7	4	paper	paper	NOUN
easat-7172	7	5	aims	aim	VERB
easat-7172	7	6	at	at	ADP
easat-7172	7	7	a	a	DET
easat-7172	7	8	new	new	ADJ
easat-7172	7	9	approach	approach	NOUN
easat-7172	7	10	for	for	ADP
easat-7172	7	11	finding	find	VERB
easat-7172	7	12	the	the	DET
easat-7172	7	13	solution	solution	NOUN
easat-7172	7	14	of	of	ADP
easat-7172	7	15	neutrosophic	neutrosophic	ADJ
easat-7172	7	16	fuzzy	fuzzy	ADJ
easat-7172	7	17	fractional	fractional	ADJ
easat-7172	7	18	differential	differential	ADJ
easat-7172	7	19	equations	equation	NOUN
easat-7172	7	20	(	(	PUNCT
easat-7172	7	21	nffdes	nffde	NOUN
easat-7172	7	22	)	)	PUNCT
easat-7172	7	23	based	base	VERB
easat-7172	7	24	on	on	ADP
easat-7172	7	25	the	the	DET
easat-7172	7	26	zadeh	zadeh	PROPN
easat-7172	7	27	’s	’s	PART
easat-7172	7	28	extension	extension	NOUN
easat-7172	7	29	principle	principle	NOUN
easat-7172	7	30	method	method	NOUN
easat-7172	7	31	.	.	PUNCT
easat-7172	8	1	nffdes	nffde	NOUN
easat-7172	8	2	combine	combine	VERB
easat-7172	8	3	fractional	fractional	ADJ
easat-7172	8	4	-	-	PUNCT
easat-7172	8	5	order	order	NOUN
easat-7172	8	6	systems	system	NOUN
easat-7172	8	7	with	with	ADP
easat-7172	8	8	uncertainty	uncertainty	NOUN
easat-7172	8	9	,	,	PUNCT
easat-7172	8	10	which	which	PRON
easat-7172	8	11	deals	deal	VERB
easat-7172	8	12	with	with	ADP
easat-7172	8	13	truth	truth	NOUN
easat-7172	8	14	,	,	PUNCT
easat-7172	8	15	indeterminacy	indeterminacy	NOUN
easat-7172	8	16	,	,	PUNCT
easat-7172	8	17	and	and	CCONJ
easat-7172	8	18	falsity	falsity	NOUN
easat-7172	8	19	information	information	NOUN
easat-7172	8	20	.	.	PUNCT
easat-7172	9	1	this	this	DET
easat-7172	9	2	approach	approach	NOUN
easat-7172	9	3	competently	competently	ADV
easat-7172	9	4	addresses	address	VERB
easat-7172	9	5	the	the	DET
easat-7172	9	6	challenges	challenge	NOUN
easat-7172	9	7	modeled	model	VERB
easat-7172	9	8	by	by	ADP
easat-7172	9	9	both	both	CCONJ
easat-7172	9	10	the	the	DET
easat-7172	9	11	fractional	fractional	ADJ
easat-7172	9	12	derivatives	derivative	NOUN
easat-7172	9	13	and	and	CCONJ
easat-7172	9	14	the	the	DET
easat-7172	9	15	indeterminate	indeterminate	ADJ
easat-7172	9	16	constructions	construction	NOUN
easat-7172	9	17	characteristic	characteristic	ADJ
easat-7172	9	18	of	of	ADP
easat-7172	9	19	neutrosophic	neutrosophic	ADJ
easat-7172	9	20	systems	system	NOUN
easat-7172	9	21	.	.	PUNCT
easat-7172	10	1	the	the	DET
easat-7172	10	2	paper	paper	NOUN
easat-7172	10	3	frames	frame	VERB
easat-7172	10	4	the	the	DET
easat-7172	10	5	theoretical	theoretical	ADJ
easat-7172	10	6	framework	framework	NOUN
easat-7172	10	7	,	,	PUNCT
easat-7172	10	8	advances	advance	VERB
easat-7172	10	9	the	the	DET
easat-7172	10	10	solution	solution	NOUN
easat-7172	10	11	process	process	NOUN
easat-7172	10	12	,	,	PUNCT
easat-7172	10	13	and	and	CCONJ
easat-7172	10	14	validates	validate	VERB
easat-7172	10	15	the	the	DET
easat-7172	10	16	usefulness	usefulness	NOUN
easat-7172	10	17	of	of	ADP
easat-7172	10	18	the	the	DET
easat-7172	10	19	method	method	NOUN
easat-7172	10	20	.	.	PUNCT
easat-7172	11	1	theoretical	theoretical	ADJ
easat-7172	11	2	and	and	CCONJ
easat-7172	11	3	numerical	numerical	ADJ
easat-7172	11	4	results	result	NOUN
easat-7172	11	5	validate	validate	VERB
easat-7172	11	6	that	that	SCONJ
easat-7172	11	7	the	the	DET
easat-7172	11	8	extension	extension	NOUN
easat-7172	11	9	principle	principle	NOUN
easat-7172	11	10	method	method	NOUN
easat-7172	11	11	conserves	conserve	VERB
easat-7172	11	12	vital	vital	ADJ
easat-7172	11	13	properties	property	NOUN
easat-7172	11	14	of	of	ADP
easat-7172	11	15	the	the	DET
easat-7172	11	16	fundamental	fundamental	ADJ
easat-7172	11	17	systems	system	NOUN
easat-7172	11	18	while	while	SCONJ
easat-7172	11	19	providing	provide	VERB
easat-7172	11	20	flexible	flexible	ADJ
easat-7172	11	21	and	and	CCONJ
easat-7172	11	22	inclusive	inclusive	ADJ
easat-7172	11	23	representations	representation	NOUN
easat-7172	11	24	of	of	ADP
easat-7172	11	25	uncertainty	uncertainty	NOUN
easat-7172	11	26	.	.	PUNCT
easat-7172	12	1	keywords	keyword	NOUN
easat-7172	12	2	:	:	PUNCT
easat-7172	12	3	fractional	fractional	ADJ
easat-7172	12	4	derivative	derivative	ADJ
easat-7172	12	5	,	,	PUNCT
easat-7172	12	6	fractional	fractional	ADJ
easat-7172	12	7	differential	differential	NOUN
easat-7172	12	8	equation	equation	NOUN
easat-7172	12	9	,	,	PUNCT
easat-7172	12	10	fuzzy	fuzzy	ADJ
easat-7172	12	11	logic	logic	NOUN
easat-7172	12	12	,	,	PUNCT
easat-7172	12	13	neutrosphic	neutrosphic	ADJ
easat-7172	12	14	set	set	NOUN
easat-7172	12	15	theory	theory	NOUN
easat-7172	12	16	.	.	PUNCT
easat-7172	13	1	1	1	X
easat-7172	13	2	.	.	X
easat-7172	13	3	introduction	introduction	NOUN
easat-7172	13	4	differential	differential	NOUN
easat-7172	13	5	equation	equation	NOUN
easat-7172	13	6	is	be	AUX
easat-7172	13	7	very	very	ADV
easat-7172	13	8	important	important	ADJ
easat-7172	13	9	techniques	technique	NOUN
easat-7172	13	10	for	for	ADP
easat-7172	13	11	theoretical	theoretical	ADJ
easat-7172	13	12	cooke	cooke	PROPN
easat-7172	14	1	[	[	X
easat-7172	14	2	1	1	X
easat-7172	14	3	]	]	PUNCT
easat-7172	14	4	and	and	CCONJ
easat-7172	14	5	ross	ross	VERB
easat-7172	15	1	[	[	X
easat-7172	15	2	2	2	NUM
easat-7172	15	3	]	]	PUNCT
easat-7172	15	4	as	as	ADV
easat-7172	15	5	well	well	ADV
easat-7172	15	6	as	as	ADP
easat-7172	15	7	modelling	model	VERB
easat-7172	15	8	braun	braun	NOUN
easat-7172	15	9	and	and	CCONJ
easat-7172	15	10	golubitsky	golubitsky	ADJ
easat-7172	15	11	[	[	X
easat-7172	15	12	3	3	NUM
easat-7172	15	13	]	]	PUNCT
easat-7172	15	14	and	and	CCONJ
easat-7172	15	15	sobczyk	sobczyk	NOUN
easat-7172	15	16	[	[	X
easat-7172	15	17	4	4	NUM
easat-7172	15	18	]	]	SYM
easat-7172	15	19	based	base	VERB
easat-7172	15	20	study	study	NOUN
easat-7172	15	21	.	.	PUNCT
easat-7172	16	1	if	if	SCONJ
easat-7172	16	2	formed	form	VERB
easat-7172	16	3	in	in	ADP
easat-7172	16	4	continuous	continuous	ADJ
easat-7172	16	5	system	system	NOUN
easat-7172	16	6	.	.	PUNCT
easat-7172	17	1	several	several	ADJ
easat-7172	17	2	modifications	modification	NOUN
easat-7172	17	3	and	and	CCONJ
easat-7172	17	4	variation	variation	NOUN
easat-7172	17	5	are	be	AUX
easat-7172	17	6	already	already	ADV
easat-7172	17	7	done	do	VERB
easat-7172	17	8	in	in	ADP
easat-7172	17	9	the	the	DET
easat-7172	17	10	wide	wide	ADJ
easat-7172	17	11	field	field	NOUN
easat-7172	17	12	of	of	ADP
easat-7172	17	13	research	research	NOUN
easat-7172	17	14	involving	involve	VERB
easat-7172	17	15	differential	differential	ADJ
easat-7172	17	16	equations	equation	NOUN
easat-7172	17	17	.	.	PUNCT
easat-7172	18	1	in	in	ADP
easat-7172	18	2	that	that	DET
easat-7172	18	3	context	context	NOUN
easat-7172	18	4	the	the	DET
easat-7172	18	5	order	order	NOUN
easat-7172	18	6	of	of	ADP
easat-7172	18	7	any	any	DET
easat-7172	18	8	differential	differential	ADJ
easat-7172	18	9	equation	equation	NOUN
easat-7172	18	10	need	need	AUX
easat-7172	18	11	not	not	PART
easat-7172	18	12	always	always	ADV
easat-7172	18	13	be	be	AUX
easat-7172	18	14	integer	integer	ADJ
easat-7172	18	15	,	,	PUNCT
easat-7172	18	16	it	it	PRON
easat-7172	18	17	may	may	AUX
easat-7172	18	18	be	be	AUX
easat-7172	18	19	fractional	fractional	ADJ
easat-7172	18	20	order	order	NOUN
easat-7172	18	21	[	[	X
easat-7172	18	22	5	5	NUM
easat-7172	18	23	-	-	SYM
easat-7172	18	24	8	8	NUM
easat-7172	18	25	]	]	PUNCT
easat-7172	18	26	.	.	PUNCT
easat-7172	19	1	a	a	DET
easat-7172	19	2	fractional	fractional	ADJ
easat-7172	19	3	differential	differential	ADJ
easat-7172	19	4	equation	equation	NOUN
easat-7172	19	5	includes	include	VERB
easat-7172	19	6	derivatives	derivative	NOUN
easat-7172	19	7	of	of	ADP
easat-7172	19	8	non	non	ADJ
easat-7172	19	9	-	-	ADJ
easat-7172	19	10	integer	integer	ADJ
easat-7172	19	11	(	(	PUNCT
easat-7172	19	12	fractional	fractional	ADJ
easat-7172	19	13	)	)	PUNCT
easat-7172	19	14	order	order	NOUN
easat-7172	19	15	which	which	PRON
easat-7172	19	16	encompassing	encompass	VERB
easat-7172	19	17	the	the	DET
easat-7172	19	18	concept	concept	NOUN
easat-7172	19	19	of	of	ADP
easat-7172	19	20	classical	classical	ADJ
easat-7172	19	21	calculus	calculus	NOUN
easat-7172	19	22	.	.	PUNCT
easat-7172	20	1	it	it	PRON
easat-7172	20	2	models	model	VERB
easat-7172	20	3	systems	system	NOUN
easat-7172	20	4	with	with	ADP
easat-7172	20	5	memory	memory	NOUN
easat-7172	20	6	and	and	CCONJ
easat-7172	20	7	hereditary	hereditary	ADJ
easat-7172	20	8	belongings	belonging	NOUN
easat-7172	20	9	,	,	PUNCT
easat-7172	20	10	apprehending	apprehend	VERB
easat-7172	20	11	complex	complex	ADJ
easat-7172	20	12	behaviours	behaviour	NOUN
easat-7172	20	13	better	well	ADJ
easat-7172	20	14	than	than	ADP
easat-7172	20	15	traditional	traditional	ADJ
easat-7172	20	16	differential	differential	ADJ
easat-7172	20	17	equations	equation	NOUN
easat-7172	20	18	ideology	ideology	NOUN
easat-7172	20	19	.	.	PUNCT
easat-7172	21	1	these	these	DET
easat-7172	21	2	types	type	NOUN
easat-7172	21	3	of	of	ADP
easat-7172	21	4	equations	equation	NOUN
easat-7172	21	5	are	be	AUX
easat-7172	21	6	extensively	extensively	ADV
easat-7172	21	7	used	use	VERB
easat-7172	21	8	in	in	ADP
easat-7172	21	9	fields	field	NOUN
easat-7172	21	10	like	like	ADP
easat-7172	21	11	physical	physical	ADJ
easat-7172	21	12	sciences	science	NOUN
easat-7172	21	13	[	[	X
easat-7172	21	14	9	9	NUM
easat-7172	21	15	]	]	PUNCT
easat-7172	21	16	biology	biology	NOUN
easat-7172	21	17	inspired	inspire	VERB
easat-7172	21	18	model	model	NOUN
easat-7172	21	19	[	[	X
easat-7172	21	20	10	10	NUM
easat-7172	21	21	]	]	PUNCT
easat-7172	21	22	and	and	CCONJ
easat-7172	21	23	financial	financial	ADJ
easat-7172	21	24	analysis	analysis	NOUN
easat-7172	21	25	[	[	X
easat-7172	21	26	11	11	NUM
easat-7172	21	27	]	]	PUNCT
easat-7172	21	28	.	.	PUNCT
easat-7172	22	1	the	the	DET
easat-7172	22	2	solutions	solution	NOUN
easat-7172	22	3	methodology	methodology	NOUN
easat-7172	22	4	is	be	AUX
easat-7172	22	5	quite	quite	ADV
easat-7172	22	6	different	different	ADJ
easat-7172	22	7	and	and	CCONJ
easat-7172	22	8	it	it	PRON
easat-7172	22	9	needs	need	VERB
easat-7172	22	10	more	more	ADJ
easat-7172	22	11	specialized	specialized	ADJ
easat-7172	22	12	techniques	technique	NOUN
easat-7172	22	13	[	[	X
easat-7172	22	14	12	12	NUM
easat-7172	22	15	-	-	SYM
easat-7172	22	16	15	15	NUM
easat-7172	22	17	]	]	PUNCT
easat-7172	22	18	.	.	PUNCT
easat-7172	23	1	theory	theory	NOUN
easat-7172	23	2	based	base	VERB
easat-7172	23	3	on	on	ADP
easat-7172	23	4	uncertainty	uncertainty	NOUN
easat-7172	23	5	play	play	VERB
easat-7172	23	6	important	important	ADJ
easat-7172	23	7	role	role	NOUN
easat-7172	23	8	for	for	ADP
easat-7172	23	9	real	real	ADJ
easat-7172	23	10	world	world	NOUN
easat-7172	23	11	modelling	model	VERB
easat-7172	23	12	now	now	ADV
easat-7172	23	13	a	a	DET
easat-7172	23	14	days	day	NOUN
easat-7172	23	15	.	.	PUNCT
easat-7172	24	1	there	there	PRON
easat-7172	24	2	is	be	VERB
easat-7172	24	3	several	several	ADJ
easat-7172	24	4	well	well	ADV
easat-7172	24	5	know	know	VERB
easat-7172	24	6	ideology	ideology	NOUN
easat-7172	24	7	to	to	PART
easat-7172	24	8	capture	capture	VERB
easat-7172	24	9	the	the	DET
easat-7172	24	10	uncertainty	uncertainty	NOUN
easat-7172	24	11	when	when	SCONJ
easat-7172	24	12	modelling	model	VERB
easat-7172	24	13	.	.	PUNCT
easat-7172	25	1	few	few	ADJ
easat-7172	25	2	concepts	concept	NOUN
easat-7172	25	3	such	such	ADJ
easat-7172	25	4	as	as	ADP
easat-7172	25	5	interval	interval	NOUN
easat-7172	25	6	quantification	quantification	NOUN
easat-7172	25	7	[	[	X
easat-7172	25	8	16	16	NUM
easat-7172	25	9	]	]	X
easat-7172	25	10	fuzzy	fuzzy	ADJ
easat-7172	25	11	set	set	NOUN
easat-7172	25	12	theory	theory	NOUN
easat-7172	25	13	[	[	X
easat-7172	25	14	17	17	NUM
easat-7172	25	15	]	]	X
easat-7172	25	16	intutionistic	intutionistic	ADJ
easat-7172	25	17	fuzzy	fuzzy	ADJ
easat-7172	25	18	set	set	NOUN
easat-7172	25	19	[	[	X
easat-7172	25	20	18	18	NUM
easat-7172	25	21	]	]	PUNCT
easat-7172	25	22	theory	theory	NOUN
easat-7172	25	23	etc	etc	X
easat-7172	25	24	.	.	X
easat-7172	25	25	fuzzy	fuzzy	ADJ
easat-7172	25	26	set	set	NOUN
easat-7172	25	27	consider	consider	VERB
easat-7172	25	28	the	the	DET
easat-7172	25	29	degree	degree	NOUN
easat-7172	25	30	of	of	ADP
easat-7172	25	31	belonging	belong	VERB
easat-7172	25	32	ness	ness	NOUN
easat-7172	25	33	where	where	SCONJ
easat-7172	25	34	as	as	ADP
easat-7172	25	35	intuitionistic	intuitionistic	ADJ
easat-7172	25	36	fuzzy	fuzzy	ADJ
easat-7172	25	37	set	set	NOUN
easat-7172	25	38	capture	capture	NOUN
easat-7172	25	39	both	both	CCONJ
easat-7172	25	40	the	the	DET
easat-7172	25	41	belongingness	belongingness	NOUN
easat-7172	25	42	and	and	CCONJ
easat-7172	25	43	nonbelongingness	nonbelongingness	NOUN
easat-7172	26	1	[	[	X
easat-7172	26	2	19	19	NUM
easat-7172	26	3	,	,	PUNCT
easat-7172	26	4	20	20	NUM
easat-7172	26	5	]	]	PUNCT
easat-7172	26	6	.	.	PUNCT
easat-7172	27	1	apart	apart	ADV
easat-7172	27	2	from	from	ADP
easat-7172	27	3	the	the	DET
easat-7172	27	4	previously	previously	ADV
easat-7172	27	5	mention	mention	NOUN
easat-7172	27	6	settings	setting	NOUN
easat-7172	27	7	neutrosophic	neutrosophic	ADV
easat-7172	27	8	set	set	VERB
easat-7172	27	9	[	[	X
easat-7172	27	10	21	21	NUM
easat-7172	27	11	,	,	PUNCT
easat-7172	27	12	22	22	NUM
easat-7172	27	13	]	]	PUNCT
easat-7172	27	14	capture	capture	VERB
easat-7172	27	15	uncertainty	uncertainty	NOUN
easat-7172	27	16	than	than	ADP
easat-7172	27	17	others	other	NOUN
easat-7172	27	18	.	.	PUNCT
easat-7172	28	1	the	the	DET
easat-7172	28	2	idea	idea	NOUN
easat-7172	28	3	of	of	ADP
easat-7172	28	4	a	a	DET
easat-7172	28	5	neutrosophic	neutrosophic	ADJ
easat-7172	28	6	set	set	NOUN
easat-7172	28	7	is	be	AUX
easat-7172	28	8	significant	significant	ADJ
easat-7172	28	9	because	because	SCONJ
easat-7172	28	10	it	it	PRON
easat-7172	28	11	spreads	spread	VERB
easat-7172	28	12	classical	classical	ADJ
easat-7172	28	13	fuzzy	fuzzy	ADJ
easat-7172	28	14	set	set	VERB
easat-7172	28	15	philosophies	philosophy	NOUN
easat-7172	28	16	by	by	ADP
easat-7172	28	17	letting	let	VERB
easat-7172	28	18	the	the	DET
easat-7172	28	19	depiction	depiction	NOUN
easat-7172	28	20	of	of	ADP
easat-7172	28	21	truth	truth	NOUN
easat-7172	28	22	,	,	PUNCT
easat-7172	28	23	indeterminacy	indeterminacy	NOUN
easat-7172	28	24	and	and	CCONJ
easat-7172	28	25	falsity	falsity	NOUN
easat-7172	28	26	by	by	ADP
easat-7172	28	27	making	make	VERB
easat-7172	28	28	it	it	PRON
easat-7172	28	29	ideal	ideal	ADJ
easat-7172	28	30	for	for	SCONJ
easat-7172	28	31	manage	manage	VERB
easat-7172	28	32	uncertain	uncertain	ADJ
easat-7172	28	33	,	,	PUNCT
easat-7172	28	34	incomplete	incomplete	ADJ
easat-7172	28	35	,	,	PUNCT
easat-7172	28	36	and	and	CCONJ
easat-7172	28	37	inconsistent	inconsistent	ADJ
easat-7172	28	38	info	info	NOUN
easat-7172	28	39	.	.	PUNCT
easat-7172	29	1	contrasting	contrast	VERB
easat-7172	29	2	traditional	traditional	ADJ
easat-7172	29	3	models	model	NOUN
easat-7172	29	4	that	that	PRON
easat-7172	29	5	might	might	AUX
easat-7172	29	6	strict	strict	VERB
easat-7172	29	7	boundaries	boundary	NOUN
easat-7172	29	8	or	or	CCONJ
easat-7172	29	9	membership	membership	NOUN
easat-7172	29	10	where	where	SCONJ
easat-7172	29	11	as	as	SCONJ
easat-7172	29	12	neutrosophic	neutrosophic	ADJ
easat-7172	29	13	sets	set	NOUN
easat-7172	29	14	offer	offer	VERB
easat-7172	29	15	better	well	ADJ
easat-7172	29	16	flexibility	flexibility	NOUN
easat-7172	29	17	and	and	CCONJ
easat-7172	29	18	pragmatism	pragmatism	NOUN
easat-7172	29	19	in	in	ADP
easat-7172	29	20	complex	complex	ADJ
easat-7172	29	21	decision	decision	NOUN
easat-7172	29	22	-	-	PUNCT
easat-7172	29	23	making	make	VERB
easat-7172	29	24	problem	problem	NOUN
easat-7172	29	25	like	like	ADP
easat-7172	29	26	site	site	NOUN
easat-7172	29	27	selection	selection	NOUN
easat-7172	29	28	problem	problem	NOUN
easat-7172	29	29	[	[	X
easat-7172	29	30	23	23	NUM
easat-7172	29	31	,	,	PUNCT
easat-7172	29	32	24	24	NUM
easat-7172	29	33	]	]	PUNCT
easat-7172	29	34	mathematical	mathematical	ADJ
easat-7172	29	35	biology	biology	NOUN
easat-7172	29	36	[	[	X
easat-7172	29	37	25	25	NUM
easat-7172	29	38	]	]	PUNCT
easat-7172	29	39	inventory	inventory	NOUN
easat-7172	29	40	control	control	NOUN
easat-7172	29	41	problem	problem	NOUN
easat-7172	30	1	[	[	X
easat-7172	30	2	26	26	NUM
easat-7172	30	3	]	]	PUNCT
easat-7172	30	4	.	.	PUNCT
easat-7172	31	1	transportation	transportation	NOUN
easat-7172	31	2	problem	problem	NOUN
easat-7172	32	1	[	[	X
easat-7172	32	2	27	27	NUM
easat-7172	32	3	]	]	PUNCT
easat-7172	32	4	.	.	PUNCT
easat-7172	33	1	graph	graph	NOUN
easat-7172	33	2	theory	theory	NOUN
easat-7172	33	3	[	[	X
easat-7172	33	4	28	28	NUM
easat-7172	33	5	]	]	X
easat-7172	33	6	etc	etc	X
easat-7172	33	7	.	.	PUNCT
easat-7172	34	1	this	this	PRON
easat-7172	34	2	makes	make	VERB
easat-7172	34	3	it	it	PRON
easat-7172	34	4	mostly	mostly	ADV
easat-7172	34	5	powerful	powerful	ADJ
easat-7172	34	6	in	in	ADP
easat-7172	34	7	settings	setting	NOUN
easat-7172	34	8	in	in	ADP
easat-7172	34	9	uncertainty	uncertainty	NOUN
easat-7172	34	10	modelling	modelling	NOUN
easat-7172	34	11	.	.	PUNCT
easat-7172	35	1	differential	differential	ADJ
easat-7172	35	2	equation	equation	NOUN
easat-7172	35	3	with	with	ADP
easat-7172	35	4	uncertainty	uncertainty	NOUN
easat-7172	35	5	is	be	AUX
easat-7172	35	6	not	not	PART
easat-7172	35	7	new	new	ADJ
easat-7172	35	8	.	.	PUNCT
easat-7172	36	1	the	the	DET
easat-7172	36	2	most	most	ADV
easat-7172	36	3	popular	popular	ADJ
easat-7172	36	4	differential	differential	ADJ
easat-7172	36	5	equation	equation	NOUN
easat-7172	36	6	with	with	ADP
easat-7172	36	7	uncertainty	uncertainty	NOUN
easat-7172	36	8	is	be	AUX
easat-7172	36	9	fuzzy	fuzzy	ADJ
easat-7172	36	10	differential	differential	ADJ
easat-7172	36	11	equation	equation	NOUN
easat-7172	36	12	,	,	PUNCT
easat-7172	36	13	which	which	PRON
easat-7172	36	14	have	have	VERB
easat-7172	36	15	importance	importance	NOUN
easat-7172	36	16	both	both	CCONJ
easat-7172	36	17	in	in	ADP
easat-7172	36	18	theoretical	theoretical	ADJ
easat-7172	36	19	[	[	X
easat-7172	36	20	29	29	NUM
easat-7172	36	21	,	,	PUNCT
easat-7172	36	22	30	30	NUM
easat-7172	36	23	]	]	PUNCT
easat-7172	36	24	and	and	CCONJ
easat-7172	36	25	1394	1394	NUM
easat-7172	36	26	edelweiss	edelweiss	PROPN
easat-7172	36	27	applied	apply	VERB
easat-7172	36	28	science	science	NOUN
easat-7172	36	29	and	and	CCONJ
easat-7172	36	30	technology	technology	NOUN
easat-7172	36	31	issn	issn	PROPN
easat-7172	36	32	:	:	PUNCT
easat-7172	36	33	2576	2576	NUM
easat-7172	36	34	-	-	SYM
easat-7172	36	35	8484	8484	NUM
easat-7172	36	36	vol	vol	NOUN
easat-7172	36	37	.	.	PROPN
easat-7172	37	1	9	9	NUM
easat-7172	37	2	,	,	PUNCT
easat-7172	37	3	no	no	INTJ
easat-7172	37	4	.	.	NOUN
easat-7172	37	5	5	5	NUM
easat-7172	37	6	:	:	SYM
easat-7172	37	7	1393	1393	NUM
easat-7172	37	8	-	-	SYM
easat-7172	37	9	1405	1405	NUM
easat-7172	37	10	,	,	PUNCT
easat-7172	37	11	2025	2025	NUM
easat-7172	37	12	doi	doi	NOUN
easat-7172	37	13	:	:	PUNCT
easat-7172	37	14	10.55214/25768484.v9i5.7172	10.55214/25768484.v9i5.7172	NUM
easat-7172	37	15	©	©	PROPN
easat-7172	37	16	2025	2025	NUM
easat-7172	37	17	by	by	ADP
easat-7172	37	18	the	the	DET
easat-7172	37	19	author	author	NOUN
easat-7172	37	20	;	;	PUNCT
easat-7172	37	21	licensee	licensee	PROPN
easat-7172	37	22	learning	learning	NOUN
easat-7172	37	23	gate	gate	NOUN
easat-7172	37	24	modelling	modelling	NOUN
easat-7172	37	25	[	[	X
easat-7172	37	26	31	31	NUM
easat-7172	37	27	,	,	PUNCT
easat-7172	37	28	32	32	NUM
easat-7172	37	29	]	]	PUNCT
easat-7172	37	30	purposes	purpose	NOUN
easat-7172	37	31	.	.	PUNCT
easat-7172	38	1	although	although	SCONJ
easat-7172	38	2	fuzzy	fuzzy	ADJ
easat-7172	38	3	differential	differential	NOUN
easat-7172	38	4	equation	equation	NOUN
easat-7172	38	5	have	have	VERB
easat-7172	38	6	different	different	ADJ
easat-7172	38	7	variation	variation	NOUN
easat-7172	38	8	like	like	ADP
easat-7172	38	9	fuzzy	fuzzy	ADJ
easat-7172	38	10	fractional	fractional	ADJ
easat-7172	38	11	differential	differential	ADJ
easat-7172	38	12	equation	equation	NOUN
easat-7172	38	13	[	[	X
easat-7172	38	14	33	33	NUM
easat-7172	38	15	,	,	PUNCT
easat-7172	38	16	34	34	NUM
easat-7172	38	17	]	]	X
easat-7172	38	18	fuzzy	fuzzy	ADJ
easat-7172	38	19	delay	delay	NOUN
easat-7172	38	20	differential	differential	ADJ
easat-7172	38	21	equation	equation	NOUN
easat-7172	38	22	[	[	X
easat-7172	38	23	35	35	NUM
easat-7172	38	24	,	,	PUNCT
easat-7172	38	25	36	36	NUM
easat-7172	38	26	]	]	PUNCT
easat-7172	38	27	.	.	PUNCT
easat-7172	39	1	in	in	ADP
easat-7172	39	2	other	other	ADJ
easat-7172	39	3	hand	hand	NOUN
easat-7172	39	4	the	the	DET
easat-7172	39	5	neutrosophic	neutrosophic	ADJ
easat-7172	39	6	differential	differential	ADJ
easat-7172	39	7	equation	equation	NOUN
easat-7172	39	8	[	[	X
easat-7172	39	9	25	25	NUM
easat-7172	39	10	,	,	PUNCT
easat-7172	39	11	37	37	NUM
easat-7172	39	12	-	-	SYM
easat-7172	39	13	44	44	NUM
easat-7172	39	14	]	]	PUNCT
easat-7172	39	15	.	.	PUNCT
easat-7172	39	16	is	be	AUX
easat-7172	39	17	taken	take	VERB
easat-7172	39	18	and	and	CCONJ
easat-7172	39	19	solved	solve	VERB
easat-7172	39	20	by	by	ADP
easat-7172	39	21	few	few	ADJ
easat-7172	39	22	researchers	researcher	NOUN
easat-7172	39	23	whereas	whereas	SCONJ
easat-7172	39	24	neutrosophic	neutrosophic	ADJ
easat-7172	39	25	fractional	fractional	ADJ
easat-7172	39	26	differential	differential	NOUN
easat-7172	39	27	equation	equation	NOUN
easat-7172	39	28	work	work	NOUN
easat-7172	39	29	is	be	AUX
easat-7172	39	30	very	very	ADV
easat-7172	39	31	rare	rare	ADJ
easat-7172	39	32	[	[	X
easat-7172	39	33	45	45	NUM
easat-7172	39	34	]	]	PUNCT
easat-7172	39	35	.	.	PUNCT
easat-7172	40	1	the	the	DET
easat-7172	40	2	details	detail	NOUN
easat-7172	40	3	comparative	comparative	ADJ
easat-7172	40	4	analysis	analysis	NOUN
easat-7172	40	5	is	be	AUX
easat-7172	40	6	of	of	ADP
easat-7172	40	7	published	publish	VERB
easat-7172	40	8	paper	paper	NOUN
easat-7172	40	9	based	base	VERB
easat-7172	40	10	on	on	ADP
easat-7172	40	11	neutrosophic	neutrosophic	ADJ
easat-7172	40	12	differential	differential	NOUN
easat-7172	40	13	equation	equation	NOUN
easat-7172	40	14	show	show	NOUN
easat-7172	40	15	in	in	ADP
easat-7172	40	16	table	table	NOUN
easat-7172	40	17	1	1	NUM
easat-7172	40	18	.	.	PUNCT
easat-7172	41	1	in	in	ADP
easat-7172	41	2	that	that	DET
easat-7172	41	3	context	context	NOUN
easat-7172	41	4	we	we	PRON
easat-7172	41	5	propose	propose	VERB
easat-7172	41	6	the	the	DET
easat-7172	41	7	neutrosphic	neutrosphic	ADJ
easat-7172	41	8	fractional	fractional	ADJ
easat-7172	41	9	differential	differential	NOUN
easat-7172	41	10	equation	equation	NOUN
easat-7172	41	11	by	by	ADP
easat-7172	41	12	neutrosophic	neutrosophic	ADJ
easat-7172	41	13	extension	extension	NOUN
easat-7172	41	14	principle	principle	NOUN
easat-7172	41	15	.	.	PUNCT
easat-7172	42	1	the	the	DET
easat-7172	42	2	structure	structure	NOUN
easat-7172	42	3	of	of	ADP
easat-7172	42	4	the	the	DET
easat-7172	42	5	paper	paper	NOUN
easat-7172	42	6	is	be	AUX
easat-7172	42	7	are	be	AUX
easat-7172	42	8	follows	follow	NOUN
easat-7172	42	9	:	:	PUNCT
easat-7172	42	10	section	section	NOUN
easat-7172	42	11	1	1	NUM
easat-7172	42	12	describes	describe	VERB
easat-7172	42	13	preliminary	preliminary	ADJ
easat-7172	42	14	introduction	introduction	NOUN
easat-7172	42	15	of	of	ADP
easat-7172	42	16	related	related	ADJ
easat-7172	42	17	keyworks	keywork	NOUN
easat-7172	42	18	,	,	PUNCT
easat-7172	42	19	section	section	NOUN
easat-7172	42	20	2	2	NUM
easat-7172	42	21	describes	describe	VERB
easat-7172	42	22	the	the	DET
easat-7172	42	23	preliminary	preliminary	ADJ
easat-7172	42	24	ideas	idea	NOUN
easat-7172	42	25	.	.	PUNCT
easat-7172	43	1	neutrosophic	neutrosophic	ADJ
easat-7172	43	2	extension	extension	NOUN
easat-7172	43	3	principle	principle	NOUN
easat-7172	43	4	is	be	AUX
easat-7172	43	5	defined	define	VERB
easat-7172	43	6	in	in	ADP
easat-7172	43	7	section	section	NOUN
easat-7172	43	8	3	3	NUM
easat-7172	43	9	.	.	PUNCT
easat-7172	44	1	the	the	DET
easat-7172	44	2	formulation	formulation	NOUN
easat-7172	44	3	of	of	ADP
easat-7172	44	4	neutrosophic	neutrosophic	ADJ
easat-7172	44	5	differential	differential	NOUN
easat-7172	44	6	equation	equation	NOUN
easat-7172	44	7	is	be	AUX
easat-7172	44	8	addressed	address	VERB
easat-7172	44	9	in	in	ADP
easat-7172	44	10	section	section	NOUN
easat-7172	44	11	4	4	NUM
easat-7172	44	12	.	.	PUNCT
easat-7172	44	13	section	section	NOUN
easat-7172	44	14	5	5	NUM
easat-7172	44	15	stands	stand	VERB
easat-7172	44	16	for	for	ADP
easat-7172	44	17	the	the	DET
easat-7172	44	18	solution	solution	NOUN
easat-7172	44	19	strategy	strategy	NOUN
easat-7172	44	20	of	of	ADP
easat-7172	44	21	neutrosophic	neutrosophic	ADJ
easat-7172	44	22	fractional	fractional	ADJ
easat-7172	44	23	differential	differential	NOUN
easat-7172	44	24	equation	equation	NOUN
easat-7172	44	25	.	.	PUNCT
easat-7172	45	1	numerical	numerical	ADJ
easat-7172	45	2	example	example	NOUN
easat-7172	45	3	is	be	AUX
easat-7172	45	4	illustrated	illustrate	VERB
easat-7172	45	5	in	in	ADP
easat-7172	45	6	section	section	NOUN
easat-7172	45	7	6	6	NUM
easat-7172	45	8	.	.	PUNCT
easat-7172	46	1	section	section	NOUN
easat-7172	46	2	7	7	NUM
easat-7172	46	3	stand	stand	NOUN
easat-7172	46	4	for	for	ADP
easat-7172	46	5	conclusion	conclusion	NOUN
easat-7172	46	6	and	and	CCONJ
easat-7172	46	7	future	future	ADJ
easat-7172	46	8	research	research	NOUN
easat-7172	46	9	scope	scope	NOUN
easat-7172	46	10	.	.	PUNCT
easat-7172	47	1	table	table	NOUN
easat-7172	47	2	1	1	NUM
easat-7172	47	3	.	.	PUNCT
easat-7172	47	4	comparative	comparative	ADJ
easat-7172	47	5	study	study	NOUN
easat-7172	47	6	of	of	ADP
easat-7172	47	7	published	publish	VERB
easat-7172	47	8	neutrosophic	neutrosophic	ADJ
easat-7172	47	9	differential	differential	NOUN
easat-7172	47	10	equation	equation	NOUN
easat-7172	47	11	sl	sl	INTJ
easat-7172	47	12	.	.	PUNCT
easat-7172	48	1	no	no	INTJ
easat-7172	48	2	.	.	PUNCT
easat-7172	49	1	paper	paper	NOUN
easat-7172	49	2	details	detail	NOUN
easat-7172	49	3	approaches	approach	VERB
easat-7172	49	4	used	use	VERB
easat-7172	49	5	type	type	NOUN
easat-7172	49	6	of	of	ADP
easat-7172	49	7	differential	differential	ADJ
easat-7172	49	8	equation	equation	NOUN
easat-7172	49	9	applications/	applications/	NUM
easat-7172	49	10	theory	theory	NOUN
easat-7172	49	11	1	1	NUM
easat-7172	49	12	sumathi	sumathi	ADV
easat-7172	49	13	and	and	CCONJ
easat-7172	49	14	antony	antony	PROPN
easat-7172	49	15	crispin	crispin	PROPN
easat-7172	49	16	sweety	sweety	NOUN
easat-7172	50	1	[	[	X
easat-7172	50	2	37	37	NUM
easat-7172	50	3	]	]	X
easat-7172	50	4	generalized	generalize	VERB
easat-7172	50	5	neutrosohic	neutrosohic	ADJ
easat-7172	50	6	hukuhara	hukuhara	ADV
easat-7172	50	7	differentiability	differentiability	NOUN
easat-7172	50	8	second	second	ADJ
easat-7172	50	9	order	order	NOUN
easat-7172	50	10	linear	linear	NOUN
easat-7172	50	11	differential	differential	NOUN
easat-7172	50	12	equation	equation	NOUN
easat-7172	50	13	theory	theory	NOUN
easat-7172	50	14	2	2	NUM
easat-7172	50	15	mondal	mondal	NOUN
easat-7172	50	16	,	,	PUNCT
easat-7172	50	17	et	et	PROPN
easat-7172	50	18	al	al	PROPN
easat-7172	50	19	.	.	PUNCT
easat-7172	51	1	[	[	X
easat-7172	51	2	38	38	NUM
easat-7172	51	3	]	]	PUNCT
easat-7172	51	4	(	(	PUNCT
easat-7172	51	5	𝛼	𝛼	X
easat-7172	51	6	,	,	PUNCT
easat-7172	51	7	𝛽	𝛽	NOUN
easat-7172	51	8	,	,	PUNCT
easat-7172	51	9	𝛾)-cut	𝛾)-cut	NOUN
easat-7172	51	10	of	of	ADP
easat-7172	51	11	neutrosophic	neutrosophic	ADJ
easat-7172	51	12	function	function	NOUN
easat-7172	51	13	method	method	NOUN
easat-7172	51	14	first	first	ADJ
easat-7172	51	15	order	order	NOUN
easat-7172	51	16	system	system	NOUN
easat-7172	51	17	of	of	ADP
easat-7172	51	18	differential	differential	ADJ
easat-7172	51	19	equation	equation	NOUN
easat-7172	51	20	application	application	NOUN
easat-7172	51	21	3	3	NUM
easat-7172	51	22	sumathi	sumathi	ADV
easat-7172	51	23	and	and	CCONJ
easat-7172	51	24	priya	priya	PROPN
easat-7172	52	1	[	[	X
easat-7172	52	2	39	39	NUM
easat-7172	52	3	]	]	PUNCT
easat-7172	53	1	[	[	X
easat-7172	53	2	39	39	NUM
easat-7172	53	3	]	]	X
easat-7172	53	4	sumathi	sumathi	X
easat-7172	53	5	et	et	PROPN
easat-7172	53	6	al	al	PROPN
easat-7172	53	7	.	.	PUNCT
easat-7172	54	1	(	(	PUNCT
easat-7172	54	2	𝛼	𝛼	PROPN
easat-7172	54	3	,	,	PUNCT
easat-7172	54	4	𝛽	𝛽	NOUN
easat-7172	54	5	,	,	PUNCT
easat-7172	54	6	𝛾)-cut	𝛾)-cut	NOUN
easat-7172	54	7	of	of	ADP
easat-7172	54	8	neutrosophic	neutrosophic	ADJ
easat-7172	54	9	function	function	NOUN
easat-7172	54	10	method	method	NOUN
easat-7172	54	11	first	first	ADJ
easat-7172	54	12	order	order	NOUN
easat-7172	54	13	linear	linear	PROPN
easat-7172	54	14	homogeneous	homogeneous	ADJ
easat-7172	54	15	differential	differential	NOUN
easat-7172	54	16	equation	equation	NOUN
easat-7172	54	17	theory	theory	NOUN
easat-7172	54	18	and	and	CCONJ
easat-7172	54	19	application	application	NOUN
easat-7172	54	20	both	both	DET
easat-7172	54	21	4	4	NUM
easat-7172	54	22	parikh	parikh	NOUN
easat-7172	54	23	and	and	CCONJ
easat-7172	54	24	sahni	sahni	NOUN
easat-7172	55	1	[	[	X
easat-7172	55	2	40	40	NUM
easat-7172	55	3	]	]	PUNCT
easat-7172	56	1	[	[	X
easat-7172	56	2	40	40	NUM
easat-7172	56	3	]	]	X
easat-7172	56	4	parikh	parikh	PROPN
easat-7172	56	5	et	et	PROPN
easat-7172	56	6	al	al	PROPN
easat-7172	56	7	.	.	PROPN
easat-7172	56	8	generalized	generalize	VERB
easat-7172	56	9	hukuhara	hukuhara	ADJ
easat-7172	56	10	neutrosophic	neutrosophic	PROPN
easat-7172	56	11	differentiability	differentiability	NOUN
easat-7172	56	12	first	first	ADJ
easat-7172	56	13	order	order	NOUN
easat-7172	56	14	linear	linear	PROPN
easat-7172	56	15	differential	differential	NOUN
easat-7172	56	16	equation	equation	NOUN
easat-7172	56	17	application	application	NOUN
easat-7172	56	18	5	5	NUM
easat-7172	56	19	rahaman	rahaman	NOUN
easat-7172	56	20	,	,	PUNCT
easat-7172	56	21	et	et	PROPN
easat-7172	56	22	al	al	PROPN
easat-7172	56	23	.	.	PUNCT
easat-7172	57	1	[	[	X
easat-7172	57	2	41	41	NUM
easat-7172	57	3	]	]	X
easat-7172	57	4	[	[	X
easat-7172	57	5	41	41	NUM
easat-7172	57	6	]	]	X
easat-7172	57	7	rahaman	rahaman	NOUN
easat-7172	57	8	et	et	PROPN
easat-7172	57	9	al	al	PROPN
easat-7172	57	10	.	.	PROPN
easat-7172	57	11	generalized	generalize	VERB
easat-7172	57	12	neutrosophic	neutrosophic	ADJ
easat-7172	57	13	derivative	derivative	ADJ
easat-7172	57	14	system	system	NOUN
easat-7172	57	15	of	of	ADP
easat-7172	57	16	linear	linear	PROPN
easat-7172	57	17	differential	differential	ADJ
easat-7172	57	18	equation	equation	NOUN
easat-7172	57	19	theory	theory	NOUN
easat-7172	57	20	and	and	CCONJ
easat-7172	57	21	applications	application	NOUN
easat-7172	57	22	both	both	DET
easat-7172	57	23	6	6	NUM
easat-7172	57	24	acharya	acharya	NOUN
easat-7172	57	25	,	,	PUNCT
easat-7172	57	26	et	et	PROPN
easat-7172	57	27	al	al	PROPN
easat-7172	57	28	.	.	PUNCT
easat-7172	58	1	[	[	X
easat-7172	58	2	46	46	NUM
easat-7172	58	3	]	]	X
easat-7172	58	4	[	[	X
easat-7172	58	5	42	42	NUM
easat-7172	58	6	]	]	PUNCT
easat-7172	58	7	acharya	acharya	PROPN
easat-7172	58	8	et	et	PROPN
easat-7172	58	9	al	al	PROPN
easat-7172	58	10	.	.	PROPN
easat-7172	58	11	generalized	generalize	VERB
easat-7172	58	12	hukuhara	hukuhara	ADJ
easat-7172	58	13	neutrosophic	neutrosophic	PROPN
easat-7172	58	14	differentiability	differentiability	NOUN
easat-7172	58	15	first	first	ADJ
easat-7172	58	16	order	order	NOUN
easat-7172	58	17	linear	linear	VERB
easat-7172	58	18	non	non	ADJ
easat-7172	58	19	homogeneous	homogeneous	ADJ
easat-7172	58	20	differential	differential	NOUN
easat-7172	58	21	equation	equation	NOUN
easat-7172	58	22	applications	application	VERB
easat-7172	58	23	7	7	NUM
easat-7172	58	24	acharya	acharya	NOUN
easat-7172	58	25	,	,	PUNCT
easat-7172	58	26	et	et	PROPN
easat-7172	58	27	al	al	PROPN
easat-7172	58	28	.	.	PUNCT
easat-7172	59	1	[	[	X
easat-7172	59	2	25	25	NUM
easat-7172	59	3	]	]	X
easat-7172	59	4	generalized	generalize	VERB
easat-7172	59	5	neutrosophic	neutrosophic	ADJ
easat-7172	59	6	derivative	derivative	ADJ
easat-7172	59	7	system	system	NOUN
easat-7172	59	8	of	of	ADP
easat-7172	59	9	linear	linear	PROPN
easat-7172	59	10	non	non	PRON
easat-7172	59	11	homogenous	homogenous	ADJ
easat-7172	59	12	differential	differential	NOUN
easat-7172	59	13	equation	equation	NOUN
easat-7172	59	14	applications	application	NOUN
easat-7172	59	15	8	8	NUM
easat-7172	59	16	kamal	kamal	PROPN
easat-7172	59	17	,	,	PUNCT
easat-7172	59	18	et	et	PROPN
easat-7172	59	19	al	al	PROPN
easat-7172	59	20	.	.	PUNCT
easat-7172	60	1	[	[	X
easat-7172	60	2	42	42	NUM
easat-7172	60	3	]	]	X
easat-7172	60	4	generalized	generalize	VERB
easat-7172	60	5	hukuhara	hukuhara	ADV
easat-7172	60	6	differentiability	differentiability	NOUN
easat-7172	60	7	second	second	ADJ
easat-7172	60	8	order	order	NOUN
easat-7172	60	9	linear	linear	VERB
easat-7172	60	10	homogeneous	homogeneous	ADJ
easat-7172	60	11	theory	theory	NOUN
easat-7172	60	12	9	9	NUM
easat-7172	60	13	mera	mera	NOUN
easat-7172	60	14	,	,	PUNCT
easat-7172	60	15	et	et	PROPN
easat-7172	60	16	al	al	PROPN
easat-7172	60	17	.	.	PUNCT
easat-7172	61	1	[	[	X
easat-7172	61	2	43	43	NUM
easat-7172	61	3	]	]	X
easat-7172	61	4	[	[	X
easat-7172	61	5	45	45	NUM
easat-7172	61	6	]	]	PUNCT
easat-7172	61	7	neutrosophic	neutrosophic	ADJ
easat-7172	61	8	mathematical	mathematical	ADJ
easat-7172	61	9	transform	transform	NOUN
easat-7172	61	10	first	first	ADJ
easat-7172	61	11	order	order	NOUN
easat-7172	61	12	linear	linear	PROPN
easat-7172	61	13	homogeneous	homogeneous	ADJ
easat-7172	61	14	theory	theory	NOUN
easat-7172	61	15	10	10	NUM
easat-7172	61	16	momena	momena	NOUN
easat-7172	61	17	,	,	PUNCT
easat-7172	61	18	et	et	PROPN
easat-7172	61	19	al	al	PROPN
easat-7172	61	20	.	.	PUNCT
easat-7172	62	1	[	[	X
easat-7172	62	2	44	44	NUM
easat-7172	62	3	]	]	PUNCT
easat-7172	62	4	generalized	generalize	VERB
easat-7172	62	5	neutrosophic	neutrosophic	ADJ
easat-7172	62	6	derivative	derivative	NOUN
easat-7172	62	7	;	;	PUNCT
easat-7172	62	8	generalized	generalize	VERB
easat-7172	62	9	neutrosophic	neutrosophic	ADJ
easat-7172	62	10	derivative	derivative	ADJ
easat-7172	62	11	application	application	NOUN
easat-7172	62	12	2	2	NUM
easat-7172	62	13	.	.	PUNCT
easat-7172	62	14	preliminaries	preliminary	NOUN
easat-7172	62	15	and	and	CCONJ
easat-7172	62	16	basic	basic	ADJ
easat-7172	62	17	concepts	concept	NOUN
easat-7172	62	18	fuzzy	fuzzy	ADJ
easat-7172	62	19	set	set	NOUN
easat-7172	62	20	:	:	PUNCT
easat-7172	62	21	zadeh	zadeh	PROPN
easat-7172	63	1	[	[	X
easat-7172	63	2	17	17	NUM
easat-7172	63	3	]	]	X
easat-7172	63	4	a	a	DET
easat-7172	63	5	fuzzy	fuzzy	ADJ
easat-7172	63	6	set	set	VERB
easat-7172	63	7	�	�	PROPN
easat-7172	63	8	̃	̃	PROPN
easat-7172	63	9	�	�	PROPN
easat-7172	63	10	is	be	AUX
easat-7172	63	11	well	well	ADV
easat-7172	63	12	-	-	PUNCT
easat-7172	63	13	defined	define	VERB
easat-7172	63	14	as	as	ADP
easat-7172	63	15	a	a	DET
easat-7172	63	16	set	set	NOUN
easat-7172	63	17	of	of	ADP
easat-7172	63	18	ordered	order	VERB
easat-7172	63	19	pair	pair	NOUN
easat-7172	63	20	,	,	PUNCT
easat-7172	63	21	notationaly	notationaly	NOUN
easat-7172	63	22	as	as	ADP
easat-7172	63	23	(	(	PUNCT
easat-7172	63	24	𝑟	𝑟	NOUN
easat-7172	63	25	,	,	PUNCT
easat-7172	63	26	𝜇	𝜇	ADP
easat-7172	63	27	�	�	PROPN
easat-7172	63	28	̃	̃	NOUN
easat-7172	63	29	�	�	PROPN
easat-7172	63	30	(𝑟	(𝑟	NOUN
easat-7172	63	31	)	)	PUNCT
easat-7172	63	32	)	)	PUNCT
easat-7172	63	33	,	,	PUNCT
easat-7172	63	34	where	where	SCONJ
easat-7172	63	35	𝑟	𝑟	X
easat-7172	63	36	∈	∈	PROPN
easat-7172	63	37	𝑋	𝑋	PROPN
easat-7172	63	38	,	,	PUNCT
easat-7172	63	39	where	where	SCONJ
easat-7172	63	40	𝑋	𝑋	PROPN
easat-7172	63	41	is	be	AUX
easat-7172	63	42	nonempty	nonempty	ADJ
easat-7172	63	43	universal	universal	ADJ
easat-7172	63	44	set	set	NOUN
easat-7172	63	45	.	.	PUNCT
easat-7172	64	1	the	the	DET
easat-7172	64	2	function	function	NOUN
easat-7172	64	3	𝜇	𝜇	ADP
easat-7172	64	4	�	�	PROPN
easat-7172	64	5	̃	̃	PROPN
easat-7172	64	6	�	�	NOUN
easat-7172	64	7	(𝑟	(𝑟	NOUN
easat-7172	64	8	):	):	PUNCT
easat-7172	64	9	𝑋	𝑋	PROPN
easat-7172	64	10	→	→	SYM
easat-7172	64	11	[	[	X
easat-7172	64	12	0,1	0,1	NUM
easat-7172	64	13	]	]	PUNCT
easat-7172	64	14	,	,	PUNCT
easat-7172	64	15	is	be	AUX
easat-7172	64	16	called	call	VERB
easat-7172	64	17	membership	membership	NOUN
easat-7172	64	18	function	function	NOUN
easat-7172	64	19	.	.	PUNCT
easat-7172	65	1	zadeh	zadeh	PROPN
easat-7172	65	2	’s	’s	PART
easat-7172	65	3	extension	extension	NOUN
easat-7172	65	4	principle	principle	NOUN
easat-7172	65	5	:	:	PUNCT
easat-7172	65	6	zadeh	zadeh	NOUN
easat-7172	66	1	[	[	X
easat-7172	66	2	47	47	NUM
easat-7172	66	3	]	]	PUNCT
easat-7172	66	4	let	let	VERB
easat-7172	66	5	𝐽	𝐽	PRON
easat-7172	66	6	be	be	AUX
easat-7172	66	7	a	a	DET
easat-7172	66	8	crisp	crisp	ADJ
easat-7172	66	9	set	set	NOUN
easat-7172	66	10	and	and	CCONJ
easat-7172	66	11	�	�	PROPN
easat-7172	66	12	̃	̃	PROPN
easat-7172	66	13	�	�	PROPN
easat-7172	66	14	be	be	VERB
easat-7172	66	15	a	a	DET
easat-7172	66	16	fuzzy	fuzzy	ADJ
easat-7172	66	17	set	set	NOUN
easat-7172	66	18	in	in	ADP
easat-7172	66	19	𝐽.	𝐽.	PROPN
easat-7172	66	20	the	the	DET
easat-7172	66	21	function	function	NOUN
easat-7172	66	22	𝑔	𝑔	NOUN
easat-7172	66	23	:	:	PUNCT
easat-7172	66	24	𝐽	𝐽	PROPN
easat-7172	66	25	→	→	SYM
easat-7172	66	26	𝐾	𝐾	PROPN
easat-7172	66	27	is	be	AUX
easat-7172	66	28	defined	define	VERB
easat-7172	66	29	by	by	ADP
easat-7172	66	30	𝑘	𝑘	PROPN
easat-7172	66	31	=	=	SYM
easat-7172	66	32	𝑔(𝑗	𝑔(𝑗	PROPN
easat-7172	66	33	)	)	PUNCT
easat-7172	66	34	,	,	PUNCT
easat-7172	66	35	then	then	ADV
easat-7172	66	36	the	the	DET
easat-7172	66	37	extension	extension	NOUN
easat-7172	66	38	principle	principle	NOUN
easat-7172	66	39	introduces	introduce	VERB
easat-7172	66	40	a	a	DET
easat-7172	66	41	fuzzy	fuzzy	ADJ
easat-7172	66	42	set	set	VERB
easat-7172	66	43	�	�	PROPN
easat-7172	66	44	̃	̃	PROPN
easat-7172	66	45	�	�	PROPN
easat-7172	66	46	in	in	ADP
easat-7172	66	47	𝐾	𝐾	PROPN
easat-7172	66	48	as	as	ADP
easat-7172	66	49	�	�	PROPN
easat-7172	66	50	̃	̃	PROPN
easat-7172	66	51	�	�	NOUN
easat-7172	66	52	=	=	SYM
easat-7172	66	53	{	{	PUNCT
easat-7172	66	54	(	(	PUNCT
easat-7172	66	55	𝑘	𝑘	NOUN
easat-7172	66	56	,	,	PUNCT
easat-7172	66	57	𝜇	𝜇	ADP
easat-7172	66	58	�	�	PROPN
easat-7172	66	59	̃	̃	NOUN
easat-7172	66	60	�	�	NOUN
easat-7172	66	61	(𝑘)|𝑘	(𝑘)|𝑘	SYM
easat-7172	66	62	=	=	SYM
easat-7172	66	63	𝑔(𝑗	𝑔(𝑗	PROPN
easat-7172	66	64	)	)	PUNCT
easat-7172	66	65	,	,	PUNCT
easat-7172	66	66	𝑗	𝑗	PROPN
easat-7172	66	67	∈	∈	PROPN
easat-7172	66	68	𝐽	𝐽	PROPN
easat-7172	66	69	)	)	PUNCT
easat-7172	66	70	}	}	PUNCT
easat-7172	67	1	where	where	SCONJ
easat-7172	67	2	,	,	PUNCT
easat-7172	67	3	𝜇	𝜇	PROPN
easat-7172	67	4	�	�	PROPN
easat-7172	67	5	̃	̃	NOUN
easat-7172	67	6	�	�	NOUN
easat-7172	67	7	(𝑘	(𝑘	NOUN
easat-7172	67	8	)	)	PUNCT
easat-7172	67	9	=	=	PRON
easat-7172	67	10	{	{	PUNCT
easat-7172	67	11	(	(	PUNCT
easat-7172	67	12	𝜇	𝜇	X
easat-7172	67	13	�	�	PROPN
easat-7172	67	14	̃	̃	NOUN
easat-7172	67	15	�	�	PROPN
easat-7172	67	16	(𝑗	(𝑗	NUM
easat-7172	67	17	)	)	PUNCT
easat-7172	67	18	)	)	PUNCT
easat-7172	67	19	,	,	PUNCT
easat-7172	67	20	𝑖𝑓𝑓	𝑖𝑓𝑓	PROPN
easat-7172	67	21	𝑔	𝑔	PROPN
easat-7172	67	22	−1(𝑘	−1(𝑘	PROPN
easat-7172	67	23	)	)	PUNCT
easat-7172	67	24	≠	≠	PROPN
easat-7172	67	25	𝜙	𝜙	PRON
easat-7172	67	26	𝑗∈𝑔−1(𝑘	𝑗∈𝑔−1(𝑘	NOUN
easat-7172	67	27	)	)	PUNCT
easat-7172	67	28	𝑠𝑢𝑝	𝑠𝑢𝑝	NOUN
easat-7172	67	29	0	0	NUM
easat-7172	67	30	𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒	𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒	NOUN
easat-7172	67	31	.	.	PUNCT
easat-7172	68	1	note	note	NOUN
easat-7172	68	2	:	:	PUNCT
easat-7172	68	3	zadeh	zadeh	PROPN
easat-7172	68	4	's	's	PART
easat-7172	68	5	extension	extension	NOUN
easat-7172	68	6	principle	principle	NOUN
easat-7172	68	7	permits	permit	VERB
easat-7172	68	8	crisp	crisp	ADJ
easat-7172	68	9	functions	function	NOUN
easat-7172	68	10	to	to	PART
easat-7172	68	11	work	work	VERB
easat-7172	68	12	on	on	ADP
easat-7172	68	13	fuzzy	fuzzy	ADJ
easat-7172	68	14	sets	set	NOUN
easat-7172	68	15	uncertainty	uncertainty	NOUN
easat-7172	68	16	.	.	PUNCT
easat-7172	69	1	it	it	PRON
easat-7172	69	2	encompasses	encompass	VERB
easat-7172	69	3	functions	function	NOUN
easat-7172	69	4	by	by	ADP
easat-7172	69	5	mapping	map	VERB
easat-7172	69	6	fuzzy	fuzzy	ADJ
easat-7172	69	7	inputs	input	NOUN
easat-7172	69	8	functions	function	NOUN
easat-7172	69	9	to	to	PART
easat-7172	69	10	fuzzy	fuzzy	ADJ
easat-7172	69	11	outputs	output	NOUN
easat-7172	69	12	functions	function	NOUN
easat-7172	69	13	whereas	whereas	SCONJ
easat-7172	69	14	conserving	conserve	VERB
easat-7172	69	15	membership	membership	NOUN
easat-7172	69	16	grades	grade	NOUN
easat-7172	69	17	.	.	PUNCT
easat-7172	70	1	the	the	DET
easat-7172	70	2	output	output	NOUN
easat-7172	70	3	's	's	PART
easat-7172	70	4	membership	membership	NOUN
easat-7172	70	5	functions	function	NOUN
easat-7172	70	6	are	be	AUX
easat-7172	70	7	resolute	resolute	ADJ
easat-7172	70	8	using	use	VERB
easat-7172	70	9	the	the	DET
easat-7172	70	10	supremum	supremum	NOUN
easat-7172	70	11	of	of	ADP
easat-7172	70	12	input	input	NOUN
easat-7172	70	13	memberships	membership	NOUN
easat-7172	70	14	function	function	NOUN
easat-7172	70	15	that	that	PRON
easat-7172	70	16	map	map	VERB
easat-7172	70	17	to	to	ADP
easat-7172	70	18	respective	respective	ADJ
easat-7172	70	19	output	output	NOUN
easat-7172	70	20	value	value	NOUN
easat-7172	70	21	.	.	PUNCT
easat-7172	71	1	this	this	DET
easat-7172	71	2	ideology	ideology	NOUN
easat-7172	71	3	is	be	AUX
easat-7172	71	4	introductory	introductory	ADJ
easat-7172	71	5	in	in	ADP
easat-7172	71	6	fuzzy	fuzzy	ADJ
easat-7172	71	7	1395	1395	NUM
easat-7172	71	8	edelweiss	edelweiss	PROPN
easat-7172	71	9	applied	apply	VERB
easat-7172	71	10	science	science	NOUN
easat-7172	71	11	and	and	CCONJ
easat-7172	71	12	technology	technology	NOUN
easat-7172	71	13	issn	issn	PROPN
easat-7172	71	14	:	:	PUNCT
easat-7172	71	15	2576	2576	NUM
easat-7172	71	16	-	-	SYM
easat-7172	71	17	8484	8484	NUM
easat-7172	71	18	vol	vol	NOUN
easat-7172	71	19	.	.	PROPN
easat-7172	72	1	9	9	NUM
easat-7172	72	2	,	,	PUNCT
easat-7172	72	3	no	no	INTJ
easat-7172	72	4	.	.	NOUN
easat-7172	72	5	5	5	NUM
easat-7172	72	6	:	:	SYM
easat-7172	72	7	1393	1393	NUM
easat-7172	72	8	-	-	SYM
easat-7172	72	9	1405	1405	NUM
easat-7172	72	10	,	,	PUNCT
easat-7172	72	11	2025	2025	NUM
easat-7172	72	12	doi	doi	NOUN
easat-7172	72	13	:	:	PUNCT
easat-7172	72	14	10.55214/25768484.v9i5.7172	10.55214/25768484.v9i5.7172	NUM
easat-7172	72	15	©	©	PROPN
easat-7172	72	16	2025	2025	NUM
easat-7172	72	17	by	by	ADP
easat-7172	72	18	the	the	DET
easat-7172	72	19	author	author	NOUN
easat-7172	72	20	;	;	PUNCT
easat-7172	72	21	licensee	licensee	PROPN
easat-7172	72	22	learning	learn	VERB
easat-7172	72	23	gate	gate	NOUN
easat-7172	72	24	arithmetic	arithmetic	ADJ
easat-7172	72	25	operations	operation	NOUN
easat-7172	72	26	and	and	CCONJ
easat-7172	72	27	fuzzy	fuzzy	ADJ
easat-7172	72	28	based	base	VERB
easat-7172	72	29	decision	decision	NOUN
easat-7172	72	30	-	-	PUNCT
easat-7172	72	31	making	making	NOUN
easat-7172	72	32	.	.	PUNCT
easat-7172	73	1	it	it	PRON
easat-7172	73	2	permits	permit	VERB
easat-7172	73	3	applying	apply	VERB
easat-7172	73	4	in	in	ADP
easat-7172	73	5	models	model	NOUN
easat-7172	73	6	to	to	PART
easat-7172	73	7	capture	capture	VERB
easat-7172	73	8	imprecise	imprecise	ADJ
easat-7172	73	9	data	datum	NOUN
easat-7172	73	10	.	.	PUNCT
easat-7172	74	1	example	example	NOUN
easat-7172	74	2	:	:	PUNCT
easat-7172	75	1	let	let	VERB
easat-7172	75	2	,	,	PUNCT
easat-7172	75	3	�	�	PROPN
easat-7172	75	4	̃	̃	PROPN
easat-7172	75	5	�	�	PROPN
easat-7172	75	6	𝑓	𝑓	PRON
easat-7172	75	7	be	be	VERB
easat-7172	75	8	a	a	DET
easat-7172	75	9	fuzzy	fuzzy	ADJ
easat-7172	75	10	set	set	NOUN
easat-7172	75	11	given	give	VERB
easat-7172	75	12	by	by	ADP
easat-7172	75	13	the	the	DET
easat-7172	75	14	membership	membership	NOUN
easat-7172	75	15	function	function	NOUN
easat-7172	75	16	as	as	SCONJ
easat-7172	75	17	follows	follow	VERB
easat-7172	75	18	:	:	PUNCT
easat-7172	75	19	𝜇	𝜇	ADP
easat-7172	75	20	�	�	PROPN
easat-7172	75	21	̃	̃	NOUN
easat-7172	75	22	�	�	PROPN
easat-7172	75	23	𝑓	𝑓	DET
easat-7172	75	24	(	(	PUNCT
easat-7172	75	25	𝑗	𝑗	NOUN
easat-7172	75	26	)	)	PUNCT
easat-7172	75	27	=	=	SYM
easat-7172	75	28	{	{	PUNCT
easat-7172	76	1	0	0	NUM
easat-7172	76	2	𝑖𝑓	𝑖𝑓	NOUN
easat-7172	76	3	𝑗	𝑗	PRON
easat-7172	76	4	≤	≤	ADJ
easat-7172	76	5	2	2	NUM
easat-7172	76	6	𝑗	𝑗	NOUN
easat-7172	76	7	−	−	NUM
easat-7172	76	8	2	2	NUM
easat-7172	76	9	4	4	NUM
easat-7172	76	10	𝑖𝑓	𝑖𝑓	ADP
easat-7172	76	11	2	2	NUM
easat-7172	76	12	≤	≤	NOUN
easat-7172	76	13	𝑗	𝑗	PRON
easat-7172	76	14	<	<	X
easat-7172	76	15	6	6	NUM
easat-7172	76	16	1	1	NUM
easat-7172	76	17	𝑖𝑓	𝑖𝑓	ADP
easat-7172	76	18	𝑗	𝑗	PROPN
easat-7172	76	19	=	=	NUM
easat-7172	76	20	6	6	NUM
easat-7172	76	21	10	10	NUM
easat-7172	76	22	−	−	NOUN
easat-7172	76	23	𝑗	𝑗	INTJ
easat-7172	76	24	4	4	NUM
easat-7172	76	25	𝑖𝑓	𝑖𝑓	ADP
easat-7172	76	26	6	6	NUM
easat-7172	76	27	<	<	X
easat-7172	76	28	𝑗	𝑗	PRON
easat-7172	76	29	≤	≤	NUM
easat-7172	76	30	10	10	NUM
easat-7172	76	31	0	0	NUM
easat-7172	76	32	𝑖𝑓	𝑖𝑓	ADP
easat-7172	76	33	𝑗	𝑗	PRON
easat-7172	76	34	≥	≥	NUM
easat-7172	76	35	10	10	NUM
easat-7172	76	36	let	let	VERB
easat-7172	76	37	us	we	PRON
easat-7172	76	38	choose	choose	VERB
easat-7172	76	39	a	a	DET
easat-7172	76	40	function	function	NOUN
easat-7172	76	41	𝐹(𝑗	𝐹(𝑗	NUM
easat-7172	76	42	)	)	PUNCT
easat-7172	76	43	=	=	PUNCT
easat-7172	76	44	3𝑗	3𝑗	NOUN
easat-7172	77	1	+	+	CCONJ
easat-7172	77	2	2	2	X
easat-7172	77	3	.	.	PUNCT
easat-7172	77	4	using	use	VERB
easat-7172	77	5	the	the	DET
easat-7172	77	6	concept	concept	NOUN
easat-7172	77	7	of	of	ADP
easat-7172	77	8	zadeh	zadeh	PROPN
easat-7172	77	9	’s	’s	PART
easat-7172	77	10	extension	extension	NOUN
easat-7172	77	11	principle	principle	NOUN
easat-7172	77	12	,	,	PUNCT
easat-7172	77	13	another	another	DET
easat-7172	77	14	fuzzy	fuzzy	ADJ
easat-7172	77	15	set	set	VERB
easat-7172	77	16	𝐹(	𝐹(	NOUN
easat-7172	77	17	�	�	PROPN
easat-7172	77	18	̃	̃	PROPN
easat-7172	77	19	�	�	PROPN
easat-7172	77	20	𝑓	𝑓	PRON
easat-7172	77	21	)	)	PUNCT
easat-7172	77	22	can	can	AUX
easat-7172	77	23	be	be	AUX
easat-7172	77	24	determined	determine	VERB
easat-7172	77	25	.	.	PUNCT
easat-7172	78	1	the	the	DET
easat-7172	78	2	membership	membership	NOUN
easat-7172	78	3	function	function	NOUN
easat-7172	78	4	of	of	ADP
easat-7172	78	5	𝐹(	𝐹(	NOUN
easat-7172	78	6	�	�	PROPN
easat-7172	78	7	̃	̃	PROPN
easat-7172	78	8	�	�	PROPN
easat-7172	78	9	𝑓	𝑓	PRON
easat-7172	78	10	)	)	PUNCT
easat-7172	78	11	is	be	AUX
easat-7172	78	12	obtained	obtain	VERB
easat-7172	78	13	as	as	SCONJ
easat-7172	78	14	follows	follow	VERB
easat-7172	78	15	:	:	PUNCT
easat-7172	78	16	𝜇𝐹(	𝜇𝐹(	PROPN
easat-7172	78	17	�	�	PROPN
easat-7172	78	18	̃	̃	PROPN
easat-7172	78	19	�	�	PROPN
easat-7172	78	20	𝑓	𝑓	NUM
easat-7172	78	21	)	)	PUNCT
easat-7172	78	22	(	(	PUNCT
easat-7172	78	23	𝑘	𝑘	X
easat-7172	78	24	)	)	PUNCT
easat-7172	79	1	=	=	PRON
easat-7172	79	2	{	{	PUNCT
easat-7172	79	3	0	0	NUM
easat-7172	79	4	𝑖𝑓	𝑖𝑓	ADP
easat-7172	79	5	𝑘	𝑘	DET
easat-7172	79	6	≤	≤	NUM
easat-7172	79	7	8	8	NUM
easat-7172	79	8	𝑘	𝑘	PRON
easat-7172	79	9	−	−	PROPN
easat-7172	79	10	8	8	NUM
easat-7172	79	11	12	12	NUM
easat-7172	79	12	𝑖𝑓	𝑖𝑓	NUM
easat-7172	79	13	8	8	NUM
easat-7172	79	14	≤	≤	NOUN
easat-7172	79	15	𝑘	𝑘	PRON
easat-7172	79	16	<	<	X
easat-7172	79	17	20	20	NUM
easat-7172	79	18	1	1	NUM
easat-7172	79	19	𝑖𝑓	𝑖𝑓	ADP
easat-7172	79	20	𝑘	𝑘	NOUN
easat-7172	79	21	=	=	NOUN
easat-7172	79	22	20	20	NUM
easat-7172	79	23	32	32	NUM
easat-7172	79	24	−	−	NOUN
easat-7172	79	25	𝑘	𝑘	PRON
easat-7172	79	26	12	12	NUM
easat-7172	79	27	𝑖𝑓	𝑖𝑓	NUM
easat-7172	79	28	20	20	NUM
easat-7172	79	29	<	<	X
easat-7172	79	30	𝑘	𝑘	DET
easat-7172	79	31	≤	≤	NUM
easat-7172	79	32	32	32	NUM
easat-7172	79	33	0	0	NUM
easat-7172	79	34	𝑖𝑓	𝑖𝑓	ADP
easat-7172	79	35	𝑘	𝑘	DET
easat-7172	79	36	≥	≥	NUM
easat-7172	79	37	32	32	NUM
easat-7172	79	38	note	note	NOUN
easat-7172	79	39	:	:	PUNCT
easat-7172	79	40	the	the	DET
easat-7172	79	41	above	above	ADJ
easat-7172	79	42	concepts	concept	NOUN
easat-7172	79	43	define	define	VERB
easat-7172	79	44	that	that	SCONJ
easat-7172	79	45	how	how	SCONJ
easat-7172	79	46	we	we	PRON
easat-7172	79	47	construct	construct	VERB
easat-7172	79	48	a	a	DET
easat-7172	79	49	fuzzy	fuzzy	ADJ
easat-7172	79	50	function	function	NOUN
easat-7172	79	51	by	by	ADP
easat-7172	79	52	considering	consider	VERB
easat-7172	79	53	a	a	DET
easat-7172	79	54	parameter	parameter	NOUN
easat-7172	79	55	or	or	CCONJ
easat-7172	79	56	variable	variable	NOUN
easat-7172	79	57	as	as	ADV
easat-7172	79	58	fuzzy	fuzzy	ADJ
easat-7172	79	59	in	in	ADP
easat-7172	79	60	nature	nature	NOUN
easat-7172	79	61	.	.	PUNCT
easat-7172	80	1	since	since	SCONJ
easat-7172	80	2	the	the	DET
easat-7172	80	3	resulting	result	VERB
easat-7172	80	4	function	function	NOUN
easat-7172	80	5	also	also	ADV
easat-7172	80	6	obey	obey	VERB
easat-7172	80	7	the	the	DET
easat-7172	80	8	fuzzy	fuzzy	ADJ
easat-7172	80	9	rules	rule	NOUN
easat-7172	80	10	.	.	PUNCT
easat-7172	81	1	neutrosophic	neutrosophic	ADJ
easat-7172	81	2	set	set	NOUN
easat-7172	81	3	:	:	PUNCT
easat-7172	81	4	the	the	DET
easat-7172	81	5	extension	extension	NOUN
easat-7172	81	6	of	of	ADP
easat-7172	81	7	fuzzy	fuzzy	ADJ
easat-7172	81	8	sets	set	NOUN
easat-7172	81	9	is	be	AUX
easat-7172	81	10	neutrosophic	neutrosophic	ADJ
easat-7172	81	11	fuzzy	fuzzy	ADJ
easat-7172	81	12	sets	set	NOUN
easat-7172	81	13	.	.	PUNCT
easat-7172	82	1	here	here	ADV
easat-7172	82	2	in	in	ADP
easat-7172	82	3	the	the	DET
easat-7172	82	4	neutrosophic	neutrosophic	ADJ
easat-7172	82	5	set	set	VERB
easat-7172	82	6	smarandache	smarandache	NOUN
easat-7172	82	7	[	[	X
easat-7172	82	8	48	48	NUM
easat-7172	82	9	]	]	SYM
easat-7172	82	10	one	one	NUM
easat-7172	82	11	step	step	NOUN
easat-7172	82	12	forward	forward	ADV
easat-7172	82	13	of	of	ADP
easat-7172	82	14	the	the	DET
easat-7172	82	15	intuitionistic	intuitionistic	ADJ
easat-7172	82	16	fuzzy	fuzzy	ADJ
easat-7172	82	17	set	set	NOUN
easat-7172	82	18	theory	theory	NOUN
easat-7172	82	19	ideology	ideology	NOUN
easat-7172	82	20	.	.	PUNCT
easat-7172	83	1	there	there	PRON
easat-7172	83	2	exists	exist	VERB
easat-7172	83	3	several	several	ADJ
easat-7172	83	4	form	form	NOUN
easat-7172	83	5	of	of	ADP
easat-7172	83	6	the	the	DET
easat-7172	83	7	said	say	VERB
easat-7172	83	8	set	set	NOUN
easat-7172	83	9	.	.	PUNCT
easat-7172	84	1	one	one	NUM
easat-7172	84	2	of	of	ADP
easat-7172	84	3	them	they	PRON
easat-7172	84	4	is	be	AUX
easat-7172	84	5	single	single	ADV
easat-7172	84	6	-	-	PUNCT
easat-7172	84	7	valued	value	VERB
easat-7172	84	8	neutrosophic	neutrosophic	ADJ
easat-7172	84	9	set	set	NOUN
easat-7172	84	10	.	.	PUNCT
easat-7172	85	1	consider	consider	VERB
easat-7172	85	2	an	an	DET
easat-7172	85	3	neutrosophic	neutrosophic	ADJ
easat-7172	85	4	set	set	VERB
easat-7172	85	5	�	�	PROPN
easat-7172	85	6	̃	̃	PROPN
easat-7172	85	7	�	�	NOUN
easat-7172	86	1	𝑁𝑒	𝑁𝑒	VERB
easat-7172	86	2	on	on	ADP
easat-7172	86	3	universal	universal	ADJ
easat-7172	86	4	set	set	NOUN
easat-7172	86	5	𝑈	𝑈	PROPN
easat-7172	86	6	is	be	AUX
easat-7172	86	7	defined	define	VERB
easat-7172	86	8	as	as	ADP
easat-7172	86	9	�	�	PROPN
easat-7172	86	10	̃	̃	PROPN
easat-7172	86	11	�	�	NOUN
easat-7172	86	12	𝑁𝑒	𝑁𝑒	VERB
easat-7172	86	13	=	=	SYM
easat-7172	86	14	{	{	PUNCT
easat-7172	86	15	(	(	PUNCT
easat-7172	86	16	𝑇𝑁𝑒(𝑘	𝑇𝑁𝑒(𝑘	PROPN
easat-7172	86	17	)	)	PUNCT
easat-7172	86	18	,	,	PUNCT
easat-7172	86	19	𝐼𝑁𝑒(𝑘	𝐼𝑁𝑒(𝑘	NOUN
easat-7172	86	20	)	)	PUNCT
easat-7172	86	21	,	,	PUNCT
easat-7172	86	22	𝐹𝑁𝑒(𝑘	𝐹𝑁𝑒(𝑘	ADJ
easat-7172	86	23	)	)	PUNCT
easat-7172	86	24	)	)	PUNCT
easat-7172	87	1	∶	∶	NOUN
easat-7172	87	2	𝑘	𝑘	DET
easat-7172	87	3	∈	∈	PROPN
easat-7172	87	4	u	u	NOUN
easat-7172	87	5	}	}	PUNCT
easat-7172	87	6	,	,	PUNCT
easat-7172	87	7	where	where	SCONJ
easat-7172	87	8	𝑇𝑁𝑒(𝑘	𝑇𝑁𝑒(𝑘	PROPN
easat-7172	87	9	)	)	PUNCT
easat-7172	87	10	,	,	PUNCT
easat-7172	87	11	𝐼𝑁𝑒(𝑘	𝐼𝑁𝑒(𝑘	NOUN
easat-7172	87	12	)	)	PUNCT
easat-7172	87	13	,	,	PUNCT
easat-7172	87	14	𝐹𝑁𝑒(𝑘	𝐹𝑁𝑒(𝑘	ADJ
easat-7172	87	15	)	)	PUNCT
easat-7172	87	16	∶	∶	NOUN
easat-7172	87	17	u	u	X
easat-7172	87	18	→	→	SYM
easat-7172	87	19	[	[	X
easat-7172	87	20	0,1	0,1	NUM
easat-7172	87	21	]	]	PUNCT
easat-7172	87	22	are	be	AUX
easat-7172	87	23	considered	consider	VERB
easat-7172	87	24	as	as	ADP
easat-7172	87	25	the	the	DET
easat-7172	87	26	degree	degree	NOUN
easat-7172	87	27	of	of	ADP
easat-7172	87	28	truthness	truthness	PRON
easat-7172	87	29	,	,	PUNCT
easat-7172	87	30	degree	degree	NOUN
easat-7172	87	31	of	of	ADP
easat-7172	87	32	indeterministic	indeterministic	ADJ
easat-7172	87	33	and	and	CCONJ
easat-7172	87	34	degree	degree	NOUN
easat-7172	87	35	of	of	ADP
easat-7172	87	36	falsity	falsity	NOUN
easat-7172	87	37	function	function	NOUN
easat-7172	87	38	respectively	respectively	ADV
easat-7172	87	39	for	for	ADP
easat-7172	87	40	𝑘	𝑘	PROPN
easat-7172	87	41	∈	∈	PROPN
easat-7172	87	42	u	u	NOUN
easat-7172	87	43	,	,	PUNCT
easat-7172	87	44	such	such	ADJ
easat-7172	87	45	that	that	SCONJ
easat-7172	87	46	0	0	NUM
easat-7172	87	47	≤	≤	NUM
easat-7172	87	48	𝑇𝑁𝑒(𝑘	𝑇𝑁𝑒(𝑘	PROPN
easat-7172	87	49	)	)	PUNCT
easat-7172	87	50	,	,	PUNCT
easat-7172	87	51	𝐼𝑁𝑒(𝑘	𝐼𝑁𝑒(𝑘	NOUN
easat-7172	87	52	)	)	PUNCT
easat-7172	87	53	,	,	PUNCT
easat-7172	87	54	𝐹𝑁𝑒(𝑘	𝐹𝑁𝑒(𝑘	NOUN
easat-7172	87	55	)	)	PUNCT
easat-7172	87	56	≤	≤	NUM
easat-7172	87	57	3	3	NUM
easat-7172	87	58	.	.	PUNCT
easat-7172	87	59	table	table	NOUN
easat-7172	87	60	2	2	NUM
easat-7172	87	61	.	.	PUNCT
easat-7172	87	62	comparison	comparison	NOUN
easat-7172	87	63	between	between	ADP
easat-7172	87	64	fuzzy	fuzzy	ADJ
easat-7172	87	65	,	,	PUNCT
easat-7172	87	66	intutitionistic	intutitionistic	ADJ
easat-7172	87	67	fuzzy	fuzzy	ADJ
easat-7172	87	68	and	and	CCONJ
easat-7172	87	69	neutrosophic	neutrosophic	ADJ
easat-7172	87	70	fuzzy	fuzzy	ADJ
easat-7172	87	71	set	set	VERB
easat-7172	87	72	idea	idea	NOUN
easat-7172	88	1	sl	sl	INTJ
easat-7172	88	2	.	.	PUNCT
easat-7172	89	1	no	no	INTJ
easat-7172	89	2	.	.	PUNCT
easat-7172	90	1	set	set	VERB
easat-7172	90	2	associated	associated	ADJ
easat-7172	90	3	functions	function	NOUN
easat-7172	90	4	conditions	condition	NOUN
easat-7172	90	5	advantage	advantage	NOUN
easat-7172	90	6	disadvantage	disadvantage	NOUN
easat-7172	90	7	1	1	NUM
easat-7172	90	8	fuzzy	fuzzy	ADJ
easat-7172	90	9	set	set	VERB
easat-7172	90	10	membership	membership	NOUN
easat-7172	90	11	function	function	NOUN
easat-7172	90	12	(	(	PUNCT
easat-7172	90	13	𝜇𝐴(𝑥	𝜇𝐴(𝑥	NOUN
easat-7172	90	14	)	)	PUNCT
easat-7172	90	15	)	)	PUNCT
easat-7172	90	16	0	0	NUM
easat-7172	91	1	≤	≤	NUM
easat-7172	91	2	𝜇𝐴(𝑥	𝜇𝐴(𝑥	NOUN
easat-7172	91	3	)	)	PUNCT
easat-7172	91	4	≤	≤	NUM
easat-7172	91	5	1	1	NUM
easat-7172	91	6	simple	simple	ADJ
easat-7172	91	7	and	and	CCONJ
easat-7172	91	8	for	for	ADP
easat-7172	91	9	vague	vague	ADJ
easat-7172	91	10	concepts	concept	NOUN
easat-7172	91	11	.	.	PUNCT
easat-7172	92	1	no	no	DET
easat-7172	92	2	way	way	NOUN
easat-7172	92	3	to	to	PART
easat-7172	92	4	represent	represent	VERB
easat-7172	92	5	contradiction	contradiction	NOUN
easat-7172	92	6	in	in	ADP
easat-7172	92	7	data	datum	NOUN
easat-7172	92	8	.	.	PUNCT
easat-7172	93	1	2	2	NUM
easat-7172	93	2	intutitionistic	intutitionistic	ADJ
easat-7172	93	3	fuzzy	fuzzy	ADJ
easat-7172	93	4	set	set	VERB
easat-7172	93	5	membership	membership	NOUN
easat-7172	93	6	and	and	CCONJ
easat-7172	93	7	nonmembership	nonmembership	NOUN
easat-7172	93	8	(	(	PUNCT
easat-7172	93	9	𝜇𝐴(𝑥	𝜇𝐴(𝑥	NOUN
easat-7172	93	10	)	)	PUNCT
easat-7172	93	11	,	,	PUNCT
easat-7172	93	12	𝜗𝐴(𝑥	𝜗𝐴(𝑥	NOUN
easat-7172	93	13	)	)	PUNCT
easat-7172	93	14	)	)	PUNCT
easat-7172	93	15	0	0	NUM
easat-7172	94	1	≤	≤	NUM
easat-7172	94	2	𝜇𝐴(𝑥	𝜇𝐴(𝑥	NUM
easat-7172	94	3	)	)	PUNCT
easat-7172	94	4	+	+	CCONJ
easat-7172	94	5	𝜗𝐴(𝑥	𝜗𝐴(𝑥	X
easat-7172	94	6	)	)	PUNCT
easat-7172	94	7	≤	≤	NOUN
easat-7172	94	8	1	1	NUM
easat-7172	94	9	captures	capture	NOUN
easat-7172	94	10	hesitation	hesitation	NOUN
easat-7172	94	11	conditions	condition	NOUN
easat-7172	94	12	restricts	restrict	VERB
easat-7172	94	13	handling	handle	VERB
easat-7172	94	14	inconsistent	inconsistent	ADJ
easat-7172	94	15	or	or	CCONJ
easat-7172	94	16	contradictory	contradictory	ADJ
easat-7172	94	17	data	datum	NOUN
easat-7172	94	18	.	.	PUNCT
easat-7172	95	1	3	3	NUM
easat-7172	95	2	neutrosophic	neutrosophic	ADJ
easat-7172	95	3	fuzzy	fuzzy	ADJ
easat-7172	95	4	set	set	VERB
easat-7172	95	5	truth	truth	NOUN
easat-7172	95	6	,	,	PUNCT
easat-7172	95	7	indeterminacy	indeterminacy	NOUN
easat-7172	95	8	and	and	CCONJ
easat-7172	95	9	falsity	falsity	NOUN
easat-7172	95	10	(	(	PUNCT
easat-7172	95	11	𝑇𝐴(𝑥	𝑇𝐴(𝑥	NOUN
easat-7172	95	12	)	)	PUNCT
easat-7172	95	13	,	,	PUNCT
easat-7172	95	14	𝐼𝐴(𝑥	𝐼𝐴(𝑥	NOUN
easat-7172	95	15	)	)	PUNCT
easat-7172	95	16	,	,	PUNCT
easat-7172	95	17	𝐼𝐴(𝑥	𝐼𝐴(𝑥	NOUN
easat-7172	95	18	)	)	PUNCT
easat-7172	95	19	)	)	PUNCT
easat-7172	95	20	0	0	NUM
easat-7172	96	1	≤	≤	NUM
easat-7172	96	2	𝑇𝐴(𝑥	𝑇𝐴(𝑥	NOUN
easat-7172	96	3	)	)	PUNCT
easat-7172	96	4	+	+	SYM
easat-7172	96	5	𝐼𝐴(𝑥	𝐼𝐴(𝑥	NOUN
easat-7172	96	6	)	)	PUNCT
easat-7172	96	7	+	+	CCONJ
easat-7172	96	8	𝐼𝐴(𝑥	𝐼𝐴(𝑥	NOUN
easat-7172	96	9	)	)	PUNCT
easat-7172	96	10	≤	≤	NUM
easat-7172	96	11	1	1	NUM
easat-7172	96	12	𝑜𝑟	𝑜𝑟	NOUN
easat-7172	96	13	,	,	PUNCT
easat-7172	96	14	2	2	NUM
easat-7172	96	15	𝑜𝑟	𝑜𝑟	NOUN
easat-7172	96	16	,	,	PUNCT
easat-7172	96	17	3	3	NUM
easat-7172	96	18	deal	deal	NOUN
easat-7172	96	19	with	with	ADP
easat-7172	96	20	incomplete	incomplete	ADJ
easat-7172	96	21	,	,	PUNCT
easat-7172	96	22	indeterminate	indeterminate	VERB
easat-7172	96	23	,	,	PUNCT
easat-7172	96	24	and	and	CCONJ
easat-7172	96	25	inconsistent	inconsistent	ADJ
easat-7172	96	26	information	information	NOUN
easat-7172	96	27	,	,	PUNCT
easat-7172	96	28	more	more	ADV
easat-7172	96	29	complex	complex	ADJ
easat-7172	96	30	computation	computation	NOUN
easat-7172	96	31	and	and	CCONJ
easat-7172	96	32	interpretation	interpretation	NOUN
easat-7172	96	33	.	.	PUNCT
easat-7172	97	1	note	note	NOUN
easat-7172	97	2	:	:	PUNCT
easat-7172	97	3	here	here	ADV
easat-7172	97	4	in	in	ADP
easat-7172	97	5	table	table	NOUN
easat-7172	97	6	2	2	NUM
easat-7172	97	7	the	the	DET
easat-7172	97	8	comparison	comparison	NOUN
easat-7172	97	9	between	between	ADP
easat-7172	97	10	fuzzy	fuzzy	ADJ
easat-7172	97	11	set	set	NOUN
easat-7172	97	12	,	,	PUNCT
easat-7172	97	13	intuitionistic	intuitionistic	ADJ
easat-7172	97	14	fuzzy	fuzzy	ADJ
easat-7172	97	15	and	and	CCONJ
easat-7172	97	16	neutrosophic	neutrosophic	ADJ
easat-7172	97	17	fuzzy	fuzzy	ADJ
easat-7172	97	18	set	set	NOUN
easat-7172	97	19	.	.	PUNCT
easat-7172	98	1	1396	1396	NUM
easat-7172	98	2	edelweiss	edelweiss	PROPN
easat-7172	98	3	applied	apply	VERB
easat-7172	98	4	science	science	NOUN
easat-7172	98	5	and	and	CCONJ
easat-7172	98	6	technology	technology	NOUN
easat-7172	98	7	issn	issn	PROPN
easat-7172	98	8	:	:	PUNCT
easat-7172	98	9	2576	2576	NUM
easat-7172	98	10	-	-	SYM
easat-7172	98	11	8484	8484	NUM
easat-7172	98	12	vol	vol	NOUN
easat-7172	98	13	.	.	PROPN
easat-7172	99	1	9	9	NUM
easat-7172	99	2	,	,	PUNCT
easat-7172	99	3	no	no	INTJ
easat-7172	99	4	.	.	NOUN
easat-7172	99	5	5	5	NUM
easat-7172	99	6	:	:	SYM
easat-7172	99	7	1393	1393	NUM
easat-7172	99	8	-	-	SYM
easat-7172	99	9	1405	1405	NUM
easat-7172	99	10	,	,	PUNCT
easat-7172	99	11	2025	2025	NUM
easat-7172	99	12	doi	doi	NOUN
easat-7172	99	13	:	:	PUNCT
easat-7172	99	14	10.55214/25768484.v9i5.7172	10.55214/25768484.v9i5.7172	NUM
easat-7172	99	15	©	©	PROPN
easat-7172	99	16	2025	2025	NUM
easat-7172	99	17	by	by	ADP
easat-7172	99	18	the	the	DET
easat-7172	99	19	author	author	NOUN
easat-7172	99	20	;	;	PUNCT
easat-7172	99	21	licensee	licensee	PROPN
easat-7172	99	22	learning	learning	NOUN
easat-7172	99	23	gate	gate	PROPN
easat-7172	99	24	triangular	triangular	NOUN
easat-7172	99	25	neutrosophic	neutrosophic	ADJ
easat-7172	99	26	number	number	NOUN
easat-7172	99	27	:	:	PUNCT
easat-7172	99	28	wang	wang	PROPN
easat-7172	99	29	,	,	PUNCT
easat-7172	99	30	et	et	PROPN
easat-7172	99	31	al	al	PROPN
easat-7172	99	32	.	.	PUNCT
easat-7172	100	1	[	[	X
easat-7172	100	2	22	22	NUM
easat-7172	100	3	]	]	PUNCT
easat-7172	100	4	a	a	DET
easat-7172	100	5	triangular	triangular	NOUN
easat-7172	100	6	neutrosophic	neutrosophic	ADJ
easat-7172	100	7	number	number	NOUN
easat-7172	100	8	is	be	AUX
easat-7172	100	9	taken	take	VERB
easat-7172	100	10	as	as	ADP
easat-7172	100	11	�	�	PROPN
easat-7172	100	12	̃	̃	PROPN
easat-7172	100	13	�	�	NOUN
easat-7172	100	14	=	=	SYM
easat-7172	100	15	(	(	PUNCT
easat-7172	100	16	𝑚01,𝑚02,𝑚03	𝑚01,𝑚02,𝑚03	PROPN
easat-7172	100	17	;	;	PUNCT
easat-7172	100	18	𝑚11,𝑚12,𝑚13	𝑚11,𝑚12,𝑚13	NUM
easat-7172	100	19	;	;	PUNCT
easat-7172	100	20	𝑚21,𝑚22	𝑚21,𝑚22	NOUN
easat-7172	100	21	,	,	PUNCT
easat-7172	100	22	𝑚23	𝑚23	PROPN
easat-7172	100	23	)	)	PUNCT
easat-7172	100	24	,	,	PUNCT
easat-7172	100	25	where	where	SCONJ
easat-7172	100	26	the	the	DET
easat-7172	100	27	truth	truth	NOUN
easat-7172	100	28	membership	membership	NOUN
easat-7172	100	29	,	,	PUNCT
easat-7172	100	30	indeterminacy	indeterminacy	NOUN
easat-7172	100	31	and	and	CCONJ
easat-7172	100	32	falsity	falsity	NOUN
easat-7172	100	33	function	function	NOUN
easat-7172	100	34	is	be	AUX
easat-7172	100	35	fixed	fix	VERB
easat-7172	100	36	as	as	SCONJ
easat-7172	100	37	follows	follow	VERB
easat-7172	100	38	:	:	PUNCT
easat-7172	100	39	𝑇𝑁𝑒(𝑘	𝑇𝑁𝑒(𝑘	X
easat-7172	100	40	)	)	PUNCT
easat-7172	100	41	=	=	PRON
easat-7172	100	42	{	{	PUNCT
easat-7172	101	1	𝑘	𝑘	DET
easat-7172	101	2	−𝑚01	−𝑚01	NUM
easat-7172	101	3	𝑚02	𝑚02	NUM
easat-7172	101	4	−𝑚01	−𝑚01	PRON
easat-7172	101	5	𝑤ℎ𝑒𝑛	𝑤ℎ𝑒𝑛	VERB
easat-7172	101	6	𝑚01	𝑚01	ADJ
easat-7172	101	7	≤	≤	NOUN
easat-7172	101	8	𝑘	𝑘	DET
easat-7172	101	9	<	<	X
easat-7172	101	10	𝑚02	𝑚02	NUM
easat-7172	101	11	1	1	NUM
easat-7172	101	12	𝑤ℎ𝑒𝑛	𝑤ℎ𝑒𝑛	VERB
easat-7172	101	13	𝑘	𝑘	PRON
easat-7172	101	14	=	=	SYM
easat-7172	101	15	𝑚02	𝑚02	NUM
easat-7172	101	16	𝑚03	𝑚03	NOUN
easat-7172	101	17	−	−	PROPN
easat-7172	101	18	𝑘	𝑘	DET
easat-7172	101	19	𝑚03	𝑚03	PROPN
easat-7172	101	20	−𝑚02	−𝑚02	NUM
easat-7172	101	21	𝑤ℎ𝑒𝑛	𝑤ℎ𝑒𝑛	VERB
easat-7172	101	22	𝑚02	𝑚02	NUM
easat-7172	101	23	<	<	X
easat-7172	101	24	𝑘	𝑘	PRON
easat-7172	101	25	≤	≤	PROPN
easat-7172	101	26	𝑚03	𝑚03	PROPN
easat-7172	101	27	0	0	NUM
easat-7172	101	28	𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒	𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒	PROPN
easat-7172	101	29	𝐼𝑁𝑒(𝑘	𝐼𝑁𝑒(𝑘	PROPN
easat-7172	101	30	)	)	PUNCT
easat-7172	101	31	=	=	PRON
easat-7172	101	32	{	{	PUNCT
easat-7172	102	1	𝑚12	𝑚12	INTJ
easat-7172	102	2	−	−	PROPN
easat-7172	102	3	𝑘	𝑘	ADP
easat-7172	102	4	𝑚12	𝑚12	ADJ
easat-7172	102	5	−𝑚11	−𝑚11	PRON
easat-7172	102	6	𝑤ℎ𝑒𝑛	𝑤ℎ𝑒𝑛	VERB
easat-7172	102	7	𝑚11	𝑚11	NOUN
easat-7172	102	8	≤	≤	NOUN
easat-7172	102	9	𝑘	𝑘	PRON
easat-7172	102	10	<	<	X
easat-7172	102	11	𝑚12	𝑚12	X
easat-7172	102	12	0	0	NUM
easat-7172	102	13	𝑤ℎ𝑒𝑛	𝑤ℎ𝑒𝑛	VERB
easat-7172	102	14	𝑘	𝑘	PRON
easat-7172	102	15	=	=	NOUN
easat-7172	102	16	𝑚12	𝑚12	PROPN
easat-7172	102	17	𝑘	𝑘	PRON
easat-7172	102	18	−𝑚12	−𝑚12	PUNCT
easat-7172	102	19	𝑚13	𝑚13	PROPN
easat-7172	102	20	−𝑚12	−𝑚12	PUNCT
easat-7172	102	21	𝑤ℎ𝑒𝑛	𝑤ℎ𝑒𝑛	VERB
easat-7172	102	22	𝑚12	𝑚12	NOUN
easat-7172	102	23	<	<	X
easat-7172	102	24	𝑘	𝑘	PRON
easat-7172	102	25	≤	≤	NUM
easat-7172	102	26	𝑚13	𝑚13	NOUN
easat-7172	102	27	1	1	NUM
easat-7172	102	28	𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒	𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒	NOUN
easat-7172	102	29	𝐹𝑁𝑒(𝑘	𝐹𝑁𝑒(𝑘	NUM
easat-7172	102	30	)	)	PUNCT
easat-7172	103	1	=	=	PRON
easat-7172	103	2	{	{	PUNCT
easat-7172	103	3	𝑚22	𝑚22	VERB
easat-7172	103	4	−	−	PROPN
easat-7172	103	5	𝑘	𝑘	ADP
easat-7172	103	6	𝑚22	𝑚22	NOUN
easat-7172	103	7	−𝑚21	−𝑚21	PROPN
easat-7172	103	8	𝑤ℎ𝑒𝑛	𝑤ℎ𝑒𝑛	VERB
easat-7172	103	9	𝑚21	𝑚21	ADJ
easat-7172	103	10	≤	≤	NOUN
easat-7172	103	11	𝑘	𝑘	ADP
easat-7172	103	12	<	<	X
easat-7172	103	13	𝑚22	𝑚22	X
easat-7172	103	14	0	0	NUM
easat-7172	103	15	𝑤ℎ𝑒𝑛	𝑤ℎ𝑒𝑛	VERB
easat-7172	103	16	𝑘	𝑘	PRON
easat-7172	103	17	=	=	NOUN
easat-7172	103	18	𝑚22	𝑚22	NOUN
easat-7172	103	19	𝑘	𝑘	PROPN
easat-7172	103	20	−𝑚22	−𝑚22	NOUN
easat-7172	103	21	𝑚23	𝑚23	PROPN
easat-7172	103	22	−𝑚22	−𝑚22	NOUN
easat-7172	103	23	𝑤ℎ𝑒𝑛	𝑤ℎ𝑒𝑛	VERB
easat-7172	103	24	𝑚22	𝑚22	NOUN
easat-7172	103	25	<	<	X
easat-7172	103	26	𝑘	𝑘	PRON
easat-7172	103	27	≤	≤	NUM
easat-7172	103	28	𝑚23	𝑚23	NOUN
easat-7172	103	29	1	1	NUM
easat-7172	103	30	𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒	𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒	NOUN
easat-7172	103	31	where	where	SCONJ
easat-7172	103	32	,	,	PUNCT
easat-7172	103	33	0	0	NUM
easat-7172	103	34	≤	≤	NUM
easat-7172	103	35	𝑇𝑁𝑒(𝑘	𝑇𝑁𝑒(𝑘	PROPN
easat-7172	103	36	)	)	PUNCT
easat-7172	104	1	+	+	PUNCT
easat-7172	104	2	𝐼𝑁𝑒(𝑘	𝐼𝑁𝑒(𝑘	ADJ
easat-7172	104	3	)	)	PUNCT
easat-7172	104	4	+	+	CCONJ
easat-7172	104	5	𝐹𝑁𝑒(𝑘	𝐹𝑁𝑒(𝑘	ADJ
easat-7172	104	6	)	)	PUNCT
easat-7172	104	7	≤	≤	NUM
easat-7172	104	8	3	3	NUM
easat-7172	104	9	and	and	CCONJ
easat-7172	104	10	𝑦	𝑦	PROPN
easat-7172	104	11	∈	∈	PROPN
easat-7172	104	12	�	�	PROPN
easat-7172	104	13	̃	̃	PROPN
easat-7172	104	14	�	�	PROPN
easat-7172	104	15	.	.	PUNCT
easat-7172	104	16	parametric	parametric	ADJ
easat-7172	104	17	form	form	NOUN
easat-7172	104	18	of	of	ADP
easat-7172	104	19	triangular	triangular	NOUN
easat-7172	104	20	neutrosophic	neutrosophic	ADJ
easat-7172	104	21	number	number	NOUN
easat-7172	104	22	or	or	CCONJ
easat-7172	104	23	,	,	PUNCT
easat-7172	104	24	(	(	PUNCT
easat-7172	104	25	𝛼	𝛼	X
easat-7172	104	26	,	,	PUNCT
easat-7172	104	27	𝛽	𝛽	NOUN
easat-7172	104	28	,	,	PUNCT
easat-7172	104	29	𝛾)-cut	𝛾)-cut	NOUN
easat-7172	104	30	:	:	PUNCT
easat-7172	104	31	the	the	DET
easat-7172	104	32	parametric	parametric	ADJ
easat-7172	104	33	setting	setting	NOUN
easat-7172	104	34	of	of	ADP
easat-7172	104	35	the	the	DET
easat-7172	104	36	above	above	ADJ
easat-7172	104	37	number	number	NOUN
easat-7172	104	38	or	or	CCONJ
easat-7172	104	39	the	the	DET
easat-7172	104	40	(	(	PUNCT
easat-7172	104	41	𝛼	𝛼	PROPN
easat-7172	104	42	,	,	PUNCT
easat-7172	104	43	𝛽	𝛽	NOUN
easat-7172	104	44	,	,	PUNCT
easat-7172	104	45	𝛾)-cut	𝛾)-cut	VERB
easat-7172	104	46	is	be	AUX
easat-7172	104	47	[	[	X
easat-7172	104	48	�	�	PROPN
easat-7172	104	49	̃	̃	PROPN
easat-7172	104	50	�	�	NOUN
easat-7172	104	51	]𝛼,𝛽,𝛾	]𝛼,𝛽,𝛾	X
easat-7172	104	52	=	=	X
easat-7172	104	53	{	{	PUNCT
easat-7172	105	1	[	[	X
easat-7172	105	2	𝑀𝛼	𝑀𝛼	PROPN
easat-7172	105	3	𝐿	𝐿	PROPN
easat-7172	105	4	,	,	PUNCT
easat-7172	105	5	𝑀𝛼	𝑀𝛼	PROPN
easat-7172	105	6	𝑅	𝑅	PROPN
easat-7172	105	7	]	]	PUNCT
easat-7172	105	8	;	;	PUNCT
easat-7172	105	9	[	[	X
easat-7172	105	10	𝑀𝛽	𝑀𝛽	PROPN
easat-7172	105	11	𝐿	𝐿	PROPN
easat-7172	105	12	,	,	PUNCT
easat-7172	105	13	𝑀𝛽	𝑀𝛽	PROPN
easat-7172	105	14	𝑅	𝑅	PROPN
easat-7172	105	15	]	]	PUNCT
easat-7172	105	16	;	;	PUNCT
easat-7172	106	1	[	[	X
easat-7172	106	2	𝑀𝛾	𝑀𝛾	PROPN
easat-7172	106	3	𝐿	𝐿	PROPN
easat-7172	106	4	,	,	PUNCT
easat-7172	106	5	𝑀𝛾	𝑀𝛾	PROPN
easat-7172	106	6	𝑅	𝑅	PROPN
easat-7172	106	7	]	]	PROPN
easat-7172	106	8	}	}	PUNCT
easat-7172	106	9	where	where	SCONJ
easat-7172	106	10	{	{	PUNCT
easat-7172	106	11	𝑀𝛼	𝑀𝛼	PROPN
easat-7172	106	12	𝐿	𝐿	PROPN
easat-7172	106	13	=	=	PUNCT
easat-7172	106	14	𝑚01	𝑚01	NOUN
easat-7172	106	15	+	+	NUM
easat-7172	106	16	α(𝑚02	α(𝑚02	NUM
easat-7172	107	1	−	−	NOUN
easat-7172	107	2	𝑚01	𝑚01	NOUN
easat-7172	107	3	)	)	PUNCT
easat-7172	107	4	𝑀𝛼	𝑀𝛼	PROPN
easat-7172	107	5	𝑅	𝑅	PROPN
easat-7172	107	6	=	=	PROPN
easat-7172	107	7	𝑚03	𝑚03	PROPN
easat-7172	107	8	−	−	PROPN
easat-7172	107	9	α(𝑚03	α(𝑚03	NOUN
easat-7172	107	10	−	−	PROPN
easat-7172	107	11	𝑚02	𝑚02	NUM
easat-7172	107	12	)	)	PUNCT
easat-7172	107	13	𝑀𝛽	𝑀𝛽	PROPN
easat-7172	107	14	𝐿	𝐿	NOUN
easat-7172	107	15	=	=	PROPN
easat-7172	107	16	𝑚12	𝑚12	PROPN
easat-7172	107	17	−	−	PROPN
easat-7172	107	18	β(𝑚12	β(𝑚12	ADJ
easat-7172	108	1	−	−	PROPN
easat-7172	108	2	𝑚11	𝑚11	NOUN
easat-7172	108	3	)	)	PUNCT
easat-7172	108	4	𝑀𝛽	𝑀𝛽	PROPN
easat-7172	108	5	𝑅	𝑅	PROPN
easat-7172	108	6	=	=	PROPN
easat-7172	108	7	𝑚12	𝑚12	X
easat-7172	108	8	+	+	SYM
easat-7172	108	9	β(𝑚13	β(𝑚13	NOUN
easat-7172	108	10	−	−	PROPN
easat-7172	108	11	𝑚12	𝑚12	NOUN
easat-7172	108	12	)	)	PUNCT
easat-7172	108	13	𝑀𝛾	𝑀𝛾	NOUN
easat-7172	108	14	𝐿	𝐿	NOUN
easat-7172	108	15	=	=	NOUN
easat-7172	108	16	𝑚22	𝑚22	NOUN
easat-7172	108	17	−	−	PROPN
easat-7172	108	18	β(𝑚22	β(𝑚22	NOUN
easat-7172	108	19	−	−	NOUN
easat-7172	108	20	𝑚21	𝑚21	NOUN
easat-7172	108	21	)	)	PUNCT
easat-7172	108	22	𝑀𝛾	𝑀𝛾	PROPN
easat-7172	108	23	𝑅	𝑅	NOUN
easat-7172	108	24	=	=	PROPN
easat-7172	108	25	𝑚22	𝑚22	PROPN
easat-7172	109	1	+	+	NUM
easat-7172	109	2	β(𝑚23	β(𝑚23	NOUN
easat-7172	109	3	−	−	PROPN
easat-7172	109	4	𝑚22	𝑚22	PROPN
easat-7172	109	5	)	)	PUNCT
easat-7172	109	6	with	with	ADP
easat-7172	109	7	0	0	NUM
easat-7172	109	8	<	<	X
easat-7172	109	9	𝛼	𝛼	PROPN
easat-7172	109	10	,	,	PUNCT
easat-7172	109	11	𝛽	𝛽	PROPN
easat-7172	109	12	,	,	PUNCT
easat-7172	109	13	𝛾	𝛾	VERB
easat-7172	109	14	≤	≤	NUM
easat-7172	109	15	1	1	NUM
easat-7172	109	16	and	and	CCONJ
easat-7172	109	17	0	0	NUM
easat-7172	109	18	<	<	X
easat-7172	109	19	𝛼	𝛼	PROPN
easat-7172	109	20	+	+	X
easat-7172	109	21	𝛽	𝛽	NOUN
easat-7172	109	22	+	+	NOUN
easat-7172	109	23	𝛾	𝛾	NOUN
easat-7172	109	24	≤	≤	NUM
easat-7172	109	25	3	3	NUM
easat-7172	109	26	.	.	PUNCT
easat-7172	110	1	note	note	NOUN
easat-7172	110	2	:	:	PUNCT
easat-7172	110	3	its	its	PRON
easat-7172	110	4	is	be	AUX
easat-7172	110	5	need	need	NOUN
easat-7172	110	6	not	not	PART
easat-7172	110	7	necessary	necessary	ADJ
easat-7172	110	8	that	that	SCONJ
easat-7172	110	9	we	we	PRON
easat-7172	110	10	have	have	VERB
easat-7172	110	11	to	to	PART
easat-7172	110	12	take	take	VERB
easat-7172	110	13	triangular	triangular	NOUN
easat-7172	110	14	neutrosophic	neutrosophic	ADJ
easat-7172	110	15	number	number	NOUN
easat-7172	110	16	.	.	PUNCT
easat-7172	111	1	there	there	PRON
easat-7172	111	2	exist	exist	VERB
easat-7172	111	3	different	different	ADJ
easat-7172	111	4	variation	variation	NOUN
easat-7172	111	5	of	of	ADP
easat-7172	111	6	neutrosophic	neutrosophic	ADJ
easat-7172	111	7	number	number	NOUN
easat-7172	111	8	such	such	ADJ
easat-7172	111	9	as	as	ADP
easat-7172	111	10	trapezoidal	trapezoidal	ADJ
easat-7172	111	11	neutrosophic	neutrosophic	ADJ
easat-7172	111	12	number	number	NOUN
easat-7172	111	13	,	,	PUNCT
easat-7172	111	14	pentagonal	pentagonal	ADJ
easat-7172	111	15	neutrosophic	neutrosophic	ADJ
easat-7172	111	16	number	number	NOUN
easat-7172	111	17	etc	etc	X
easat-7172	111	18	.	.	X
easat-7172	111	19	mittag	mittag	ADJ
easat-7172	111	20	-	-	PUNCT
easat-7172	111	21	leffler	leffler	NOUN
easat-7172	111	22	function	function	NOUN
easat-7172	111	23	:	:	PUNCT
easat-7172	111	24	if	if	SCONJ
easat-7172	111	25	𝐷𝑏	𝐷𝑏	PROPN
easat-7172	111	26	𝛿𝑐	𝛿𝑐	NOUN
easat-7172	111	27	𝑦(𝑡	𝑦(𝑡	NUM
easat-7172	111	28	)	)	PUNCT
easat-7172	111	29	=	=	SYM
easat-7172	111	30	𝑦(𝑡	𝑦(𝑡	PROPN
easat-7172	111	31	)	)	PUNCT
easat-7172	111	32	,	,	PUNCT
easat-7172	111	33	with	with	ADP
easat-7172	111	34	𝑦(0	𝑦(0	PROPN
easat-7172	111	35	)	)	PUNCT
easat-7172	111	36	=	=	SYM
easat-7172	111	37	𝑦0	𝑦0	NOUN
easat-7172	111	38	then	then	ADV
easat-7172	111	39	the	the	DET
easat-7172	111	40	solution	solution	NOUN
easat-7172	111	41	is	be	AUX
easat-7172	111	42	𝑦(𝑡	𝑦(𝑡	NUM
easat-7172	111	43	)	)	PUNCT
easat-7172	111	44	=	=	SYM
easat-7172	112	1	𝑦0𝐸𝛿(𝑡	𝑦0𝐸𝛿(𝑡	VERB
easat-7172	112	2	𝛿	𝛿	NOUN
easat-7172	112	3	)	)	PUNCT
easat-7172	112	4	,	,	PUNCT
easat-7172	112	5	where	where	SCONJ
easat-7172	112	6	𝐸𝛿(𝑡	𝐸𝛿(𝑡	VERB
easat-7172	112	7	𝛿	𝛿	NOUN
easat-7172	112	8	)	)	PUNCT
easat-7172	112	9	is	be	AUX
easat-7172	112	10	called	call	VERB
easat-7172	112	11	mittag	mittag	ADJ
easat-7172	112	12	-	-	PUNCT
easat-7172	112	13	leffler	leffler	NOUN
easat-7172	112	14	function	function	NOUN
easat-7172	112	15	and	and	CCONJ
easat-7172	112	16	it	it	PRON
easat-7172	112	17	expressed	express	VERB
easat-7172	112	18	as	as	ADP
easat-7172	112	19	,	,	PUNCT
easat-7172	112	20	𝐸𝛿(𝑡	𝐸𝛿(𝑡	ADJ
easat-7172	112	21	𝛿	𝛿	ADJ
easat-7172	112	22	)	)	PUNCT
easat-7172	112	23	=	=	SYM
easat-7172	112	24	∑	∑	ADP
easat-7172	112	25	𝑢𝑝	𝑢𝑝	VERB
easat-7172	112	26	γ(𝑝𝛿	γ(𝑝𝛿	PRON
easat-7172	113	1	+	+	NOUN
easat-7172	114	1	1	1	X
easat-7172	114	2	)	)	PUNCT
easat-7172	114	3	∞	∞	PROPN
easat-7172	114	4	𝑝=0	𝑝=0	PROPN
easat-7172	114	5	,	,	PUNCT
easat-7172	114	6	𝛿	𝛿	PROPN
easat-7172	114	7	>	>	X
easat-7172	114	8	0	0	NUM
easat-7172	114	9	note	note	NOUN
easat-7172	114	10	:	:	PUNCT
easat-7172	114	11	the	the	DET
easat-7172	114	12	mittag	mittag	ADJ
easat-7172	114	13	-	-	PUNCT
easat-7172	114	14	leffler	leffler	NOUN
easat-7172	114	15	function	function	NOUN
easat-7172	114	16	have	have	VERB
easat-7172	114	17	a	a	DET
easat-7172	114	18	vital	vital	ADJ
easat-7172	114	19	role	role	NOUN
easat-7172	114	20	in	in	ADP
easat-7172	114	21	fractional	fractional	ADJ
easat-7172	114	22	calculus	calculus	NOUN
easat-7172	114	23	.	.	PUNCT
easat-7172	115	1	it	it	PRON
easat-7172	115	2	generalizes	generalize	VERB
easat-7172	115	3	the	the	DET
easat-7172	115	4	exponential	exponential	ADJ
easat-7172	115	5	function	function	NOUN
easat-7172	115	6	and	and	CCONJ
easat-7172	115	7	arises	arise	VERB
easat-7172	115	8	in	in	ADP
easat-7172	115	9	the	the	DET
easat-7172	115	10	solutions	solution	NOUN
easat-7172	115	11	of	of	ADP
easat-7172	115	12	fractional	fractional	ADJ
easat-7172	115	13	differential	differential	ADJ
easat-7172	115	14	equations	equation	NOUN
easat-7172	115	15	.	.	PUNCT
easat-7172	116	1	in	in	ADP
easat-7172	116	2	particularly	particularly	ADV
easat-7172	116	3	those	those	DET
easat-7172	116	4	problems	problem	NOUN
easat-7172	116	5	involving	involve	VERB
easat-7172	116	6	caputo	caputo	PROPN
easat-7172	116	7	or	or	CCONJ
easat-7172	116	8	riemann	riemann	PROPN
easat-7172	116	9	–	–	PUNCT
easat-7172	116	10	liouville	liouville	VERB
easat-7172	116	11	derivatives	derivative	NOUN
easat-7172	116	12	.	.	PUNCT
easat-7172	117	1	dissimilar	dissimilar	ADJ
easat-7172	117	2	the	the	DET
easat-7172	117	3	exponential	exponential	NOUN
easat-7172	117	4	,	,	PUNCT
easat-7172	117	5	which	which	PRON
easat-7172	117	6	defines	define	VERB
easat-7172	117	7	1397	1397	NUM
easat-7172	117	8	edelweiss	edelweiss	PROPN
easat-7172	117	9	applied	apply	VERB
easat-7172	117	10	science	science	NOUN
easat-7172	117	11	and	and	CCONJ
easat-7172	117	12	technology	technology	NOUN
easat-7172	117	13	issn	issn	PROPN
easat-7172	117	14	:	:	PUNCT
easat-7172	117	15	2576	2576	NUM
easat-7172	117	16	-	-	SYM
easat-7172	117	17	8484	8484	NUM
easat-7172	117	18	vol	vol	NOUN
easat-7172	117	19	.	.	PROPN
easat-7172	118	1	9	9	NUM
easat-7172	118	2	,	,	PUNCT
easat-7172	118	3	no	no	INTJ
easat-7172	118	4	.	.	NOUN
easat-7172	118	5	5	5	NUM
easat-7172	118	6	:	:	SYM
easat-7172	118	7	1393	1393	NUM
easat-7172	118	8	-	-	SYM
easat-7172	118	9	1405	1405	NUM
easat-7172	118	10	,	,	PUNCT
easat-7172	118	11	2025	2025	NUM
easat-7172	118	12	doi	doi	NOUN
easat-7172	118	13	:	:	PUNCT
easat-7172	118	14	10.55214/25768484.v9i5.7172	10.55214/25768484.v9i5.7172	NUM
easat-7172	118	15	©	©	PROPN
easat-7172	118	16	2025	2025	NUM
easat-7172	118	17	by	by	ADP
easat-7172	118	18	the	the	DET
easat-7172	118	19	author	author	NOUN
easat-7172	118	20	;	;	PUNCT
easat-7172	118	21	licensee	licensee	PROPN
easat-7172	118	22	learning	learning	PROPN
easat-7172	118	23	gate	gate	PROPN
easat-7172	118	24	memoryless	memoryless	PROPN
easat-7172	118	25	progressions	progression	NOUN
easat-7172	118	26	,	,	PUNCT
easat-7172	118	27	the	the	DET
easat-7172	118	28	mittag	mittag	ADJ
easat-7172	118	29	-	-	PUNCT
easat-7172	118	30	leffler	leffler	NOUN
easat-7172	118	31	function	function	NOUN
easat-7172	118	32	imprisonments	imprisonment	NOUN
easat-7172	118	33	power	power	NOUN
easat-7172	118	34	-	-	PUNCT
easat-7172	118	35	law	law	NOUN
easat-7172	118	36	based	base	VERB
easat-7172	118	37	decay	decay	NOUN
easat-7172	118	38	and	and	CCONJ
easat-7172	118	39	memory	memory	NOUN
easat-7172	118	40	-	-	PUNCT
easat-7172	118	41	based	base	VERB
easat-7172	118	42	effects	effect	NOUN
easat-7172	118	43	for	for	ADP
easat-7172	118	44	making	make	VERB
easat-7172	118	45	it	it	PRON
easat-7172	118	46	perfect	perfect	ADJ
easat-7172	118	47	for	for	ADP
easat-7172	118	48	modelling	model	VERB
easat-7172	118	49	real	real	ADJ
easat-7172	118	50	-	-	PUNCT
easat-7172	118	51	world	world	NOUN
easat-7172	118	52	spectacles	spectacle	NOUN
easat-7172	118	53	such	such	ADJ
easat-7172	118	54	as	as	ADP
easat-7172	118	55	anomalous	anomalous	ADJ
easat-7172	118	56	diffusion	diffusion	NOUN
easat-7172	118	57	,	,	PUNCT
easat-7172	118	58	fluid	fluid	ADJ
easat-7172	118	59	dynamics	dynamic	NOUN
easat-7172	118	60	,	,	PUNCT
easat-7172	118	61	biological	biological	ADJ
easat-7172	118	62	systems	system	NOUN
easat-7172	118	63	with	with	ADP
easat-7172	118	64	hereditary	hereditary	ADJ
easat-7172	118	65	properties	property	NOUN
easat-7172	118	66	.	.	PUNCT
easat-7172	119	1	it	it	PRON
easat-7172	119	2	appears	appear	VERB
easat-7172	119	3	when	when	SCONJ
easat-7172	119	4	solving	solve	VERB
easat-7172	119	5	the	the	DET
easat-7172	119	6	fractional	fractional	ADJ
easat-7172	119	7	differential	differential	NOUN
easat-7172	119	8	equation	equation	NOUN
easat-7172	119	9	by	by	ADP
easat-7172	119	10	using	use	VERB
easat-7172	119	11	laplace	laplace	NOUN
easat-7172	119	12	transform	transform	NOUN
easat-7172	119	13	also	also	ADV
easat-7172	119	14	.	.	PUNCT
easat-7172	120	1	caputo	caputo	PROPN
easat-7172	120	2	derivative	derivative	PROPN
easat-7172	120	3	:	:	PUNCT
easat-7172	120	4	for	for	ADP
easat-7172	120	5	a	a	DET
easat-7172	120	6	function	function	NOUN
easat-7172	120	7	∇(𝑟	∇(𝑟	NOUN
easat-7172	120	8	)	)	PUNCT
easat-7172	120	9	the	the	DET
easat-7172	120	10	caputo	caputo	PROPN
easat-7172	120	11	derivative	derivative	NOUN
easat-7172	120	12	of	of	ADP
easat-7172	120	13	order	order	NOUN
easat-7172	120	14	𝜌	𝜌	X
easat-7172	120	15	∈	∈	PROPN
easat-7172	120	16	(	(	PUNCT
easat-7172	120	17	𝑛	𝑛	PROPN
easat-7172	120	18	−	−	PROPN
easat-7172	120	19	1	1	NUM
easat-7172	120	20	,	,	PUNCT
easat-7172	120	21	𝑛	𝑛	NOUN
easat-7172	120	22	)	)	PUNCT
easat-7172	120	23	where	where	SCONJ
easat-7172	120	24	𝑛	𝑛	DET
easat-7172	120	25	∈	∈	PROPN
easat-7172	120	26	𝑁	𝑁	PROPN
easat-7172	120	27	,	,	PUNCT
easat-7172	120	28	is	be	AUX
easat-7172	120	29	defined	define	VERB
easat-7172	120	30	as	as	ADP
easat-7172	120	31	,	,	PUNCT
easat-7172	120	32	𝐷𝑐	𝐷𝑐	PROPN
easat-7172	120	33	𝑟	𝑟	X
easat-7172	120	34	𝜌	𝜌	X
easat-7172	120	35	∇(𝑟	∇(𝑟	NOUN
easat-7172	120	36	)	)	PUNCT
easat-7172	120	37	=	=	SYM
easat-7172	120	38	1	1	NUM
easat-7172	120	39	γ(𝑛	γ(𝑛	PROPN
easat-7172	120	40	−	−	PRON
easat-7172	120	41	𝜌	𝜌	NOUN
easat-7172	120	42	)	)	PUNCT
easat-7172	120	43	∫	∫	PROPN
easat-7172	120	44	∇(𝑛)(𝑦	∇(𝑛)(𝑦	PROPN
easat-7172	120	45	)	)	PUNCT
easat-7172	120	46	(	(	PUNCT
easat-7172	120	47	𝑟	𝑟	X
easat-7172	120	48	−	−	PROPN
easat-7172	120	49	𝑦)𝜌−𝑛+1	𝑦)𝜌−𝑛+1	PROPN
easat-7172	120	50	𝑑𝑦	𝑑𝑦	ADP
easat-7172	120	51	𝑟	𝑟	NOUN
easat-7172	120	52	0	0	NUM
easat-7172	120	53	where	where	SCONJ
easat-7172	120	54	γ	γ	X
easat-7172	120	55	(	(	PUNCT
easat-7172	120	56	.	.	PUNCT
easat-7172	120	57	)	)	PUNCT
easat-7172	120	58	is	be	AUX
easat-7172	120	59	the	the	DET
easat-7172	120	60	gamma	gamma	PROPN
easat-7172	120	61	function	function	NOUN
easat-7172	120	62	and	and	CCONJ
easat-7172	120	63	∇(𝑛	∇(𝑛	NOUN
easat-7172	120	64	)	)	PUNCT
easat-7172	120	65	denoted	denote	VERB
easat-7172	120	66	the	the	DET
easat-7172	120	67	nth	nth	NOUN
easat-7172	120	68	derivative	derivative	NOUN
easat-7172	120	69	of	of	ADP
easat-7172	120	70	∇.	∇.	NOUN
easat-7172	120	71	so	so	ADV
easat-7172	120	72	,	,	PUNCT
easat-7172	120	73	for	for	ADP
easat-7172	120	74	0	0	NUM
easat-7172	120	75	<	<	X
easat-7172	120	76	𝜌	𝜌	X
easat-7172	120	77	<	<	X
easat-7172	120	78	1	1	NUM
easat-7172	120	79	,	,	PUNCT
easat-7172	120	80	the	the	DET
easat-7172	120	81	above	above	ADJ
easat-7172	120	82	definitions	definition	NOUN
easat-7172	120	83	become	become	VERB
easat-7172	120	84	𝐷𝑐	𝐷𝑐	PROPN
easat-7172	120	85	𝑟	𝑟	NOUN
easat-7172	120	86	𝜌	𝜌	X
easat-7172	120	87	∇(𝑟	∇(𝑟	NOUN
easat-7172	120	88	)	)	PUNCT
easat-7172	121	1	=	=	SYM
easat-7172	121	2	1	1	NUM
easat-7172	122	1	γ(1	γ(1	PROPN
easat-7172	122	2	−	−	NUM
easat-7172	122	3	𝜌	𝜌	NOUN
easat-7172	122	4	)	)	PUNCT
easat-7172	122	5	∫	∫	PROPN
easat-7172	122	6	∇(1)(𝑦	∇(1)(𝑦	PROPN
easat-7172	122	7	)	)	PUNCT
easat-7172	122	8	(	(	PUNCT
easat-7172	122	9	𝑟	𝑟	NOUN
easat-7172	122	10	−	−	NOUN
easat-7172	122	11	𝑦)𝜌	𝑦)𝜌	ADJ
easat-7172	122	12	𝑑𝑦	𝑑𝑦	ADP
easat-7172	122	13	𝑟	𝑟	NOUN
easat-7172	122	14	0	0	NUM
easat-7172	122	15	note	note	NOUN
easat-7172	122	16	:	:	PUNCT
easat-7172	122	17	the	the	DET
easat-7172	122	18	caputo	caputo	PROPN
easat-7172	122	19	derivative	derivative	NOUN
easat-7172	122	20	is	be	AUX
easat-7172	122	21	very	very	ADV
easat-7172	122	22	important	important	ADJ
easat-7172	122	23	in	in	ADP
easat-7172	122	24	fractional	fractional	ADJ
easat-7172	122	25	calculus	calculus	NOUN
easat-7172	122	26	theory	theory	NOUN
easat-7172	122	27	because	because	SCONJ
easat-7172	122	28	it	it	PRON
easat-7172	122	29	allows	allow	VERB
easat-7172	122	30	fractional	fractional	ADJ
easat-7172	122	31	differential	differential	ADJ
easat-7172	122	32	equations	equation	NOUN
easat-7172	122	33	with	with	ADP
easat-7172	122	34	initial	initial	ADJ
easat-7172	122	35	conditions	condition	NOUN
easat-7172	122	36	which	which	PRON
easat-7172	122	37	may	may	AUX
easat-7172	122	38	expressed	express	VERB
easat-7172	122	39	in	in	ADP
easat-7172	122	40	terms	term	NOUN
easat-7172	122	41	of	of	ADP
easat-7172	122	42	classical	classical	ADJ
easat-7172	122	43	integer	integer	NOUN
easat-7172	122	44	-	-	PUNCT
easat-7172	122	45	order	order	NOUN
easat-7172	122	46	derivatives	derivative	NOUN
easat-7172	122	47	.	.	PUNCT
easat-7172	123	1	the	the	DET
easat-7172	123	2	caputo	caputo	PROPN
easat-7172	123	3	derivative	derivative	NOUN
easat-7172	123	4	particularly	particularly	ADV
easat-7172	123	5	suitable	suitable	ADJ
easat-7172	123	6	for	for	ADP
easat-7172	123	7	modelling	model	VERB
easat-7172	123	8	dynamical	dynamical	ADJ
easat-7172	123	9	systems	system	NOUN
easat-7172	123	10	in	in	ADP
easat-7172	123	11	science	science	NOUN
easat-7172	123	12	,	,	PUNCT
easat-7172	123	13	engineering	engineering	NOUN
easat-7172	123	14	,	,	PUNCT
easat-7172	123	15	physics	physics	NOUN
easat-7172	123	16	and	and	CCONJ
easat-7172	123	17	biological	biological	ADJ
easat-7172	123	18	science	science	NOUN
easat-7172	123	19	where	where	SCONJ
easat-7172	123	20	initial	initial	ADJ
easat-7172	123	21	states	state	NOUN
easat-7172	123	22	are	be	AUX
easat-7172	123	23	known	know	VERB
easat-7172	123	24	in	in	ADP
easat-7172	123	25	classical	classical	ADJ
easat-7172	123	26	terms	term	NOUN
easat-7172	123	27	.	.	PUNCT
easat-7172	124	1	moreover	moreover	ADV
easat-7172	124	2	,	,	PUNCT
easat-7172	124	3	it	it	PRON
easat-7172	124	4	conserves	conserve	VERB
easat-7172	124	5	key	key	ADJ
easat-7172	124	6	properties	property	NOUN
easat-7172	124	7	like	like	ADP
easat-7172	124	8	linearity	linearity	NOUN
easat-7172	124	9	and	and	CCONJ
easat-7172	124	10	convulsions	convulsion	NOUN
easat-7172	124	11	naturally	naturally	ADV
easat-7172	124	12	into	into	ADP
easat-7172	124	13	laplace	laplace	NOUN
easat-7172	124	14	transform	transform	NOUN
easat-7172	124	15	methods	method	NOUN
easat-7172	124	16	.	.	PUNCT
easat-7172	125	1	it	it	PRON
easat-7172	125	2	simplifying	simplify	VERB
easat-7172	125	3	the	the	DET
easat-7172	125	4	analytical	analytical	ADJ
easat-7172	125	5	solution	solution	NOUN
easat-7172	125	6	of	of	ADP
easat-7172	125	7	fractional	fractional	ADJ
easat-7172	125	8	differential	differential	ADJ
easat-7172	125	9	equations	equation	NOUN
easat-7172	125	10	and	and	CCONJ
easat-7172	125	11	attractive	attractive	ADJ
easat-7172	125	12	its	its	PRON
easat-7172	125	13	realworld	realworld	PROPN
easat-7172	125	14	applicability	applicability	NOUN
easat-7172	125	15	in	in	ADP
easat-7172	125	16	initial	initial	ADJ
easat-7172	125	17	value	value	NOUN
easat-7172	125	18	problems	problem	NOUN
easat-7172	125	19	.	.	PUNCT
easat-7172	126	1	caputo	caputo	PROPN
easat-7172	126	2	derivative	derivative	PROPN
easat-7172	126	3	for	for	ADP
easat-7172	126	4	initial	initial	ADJ
easat-7172	126	5	value	value	NOUN
easat-7172	126	6	problem	problem	NOUN
easat-7172	126	7	:	:	PUNCT
easat-7172	126	8	consider	consider	VERB
easat-7172	126	9	the	the	DET
easat-7172	126	10	fractional	fractional	ADJ
easat-7172	126	11	differential	differential	ADJ
easat-7172	126	12	equation	equation	NOUN
easat-7172	126	13	of	of	ADP
easat-7172	126	14	type	type	NOUN
easat-7172	126	15	𝐷𝑦	𝐷𝑦	PROPN
easat-7172	126	16	𝜌𝑐	𝜌𝑐	PROPN
easat-7172	126	17	𝑦(𝑟	𝑦(𝑟	PROPN
easat-7172	126	18	)	)	PUNCT
easat-7172	126	19	=	=	SYM
easat-7172	127	1	𝑚𝑦(𝑟	𝑚𝑦(𝑟	X
easat-7172	127	2	)	)	PUNCT
easat-7172	127	3	with	with	ADP
easat-7172	127	4	initial	initial	ADJ
easat-7172	127	5	value	value	NOUN
easat-7172	127	6	𝑦(0	𝑦(0	PROPN
easat-7172	127	7	)	)	PUNCT
easat-7172	127	8	=	=	SYM
easat-7172	127	9	𝑦0	𝑦0	NOUN
easat-7172	127	10	,	,	PUNCT
easat-7172	127	11	then	then	ADV
easat-7172	127	12	the	the	DET
easat-7172	127	13	solution	solution	NOUN
easat-7172	127	14	is	be	AUX
easat-7172	127	15	written	write	VERB
easat-7172	127	16	as	as	ADP
easat-7172	127	17	𝑦(𝑟	𝑦(𝑟	PROPN
easat-7172	127	18	)	)	PUNCT
easat-7172	128	1	=	=	PUNCT
easat-7172	128	2	𝐸𝜌(−𝑚𝑟	𝐸𝜌(−𝑚𝑟	NUM
easat-7172	128	3	𝜌	𝜌	NOUN
easat-7172	128	4	)	)	PUNCT
easat-7172	128	5	3	3	NUM
easat-7172	128	6	.	.	X
easat-7172	128	7	neutrosophic	neutrosophic	ADJ
easat-7172	128	8	extension	extension	NOUN
easat-7172	128	9	principle	principle	PROPN
easat-7172	128	10	extension	extension	NOUN
easat-7172	128	11	zadeh	zadeh	PROPN
easat-7172	128	12	’s	’s	PART
easat-7172	128	13	extension	extension	NOUN
easat-7172	128	14	principle	principle	NOUN
easat-7172	128	15	with	with	ADP
easat-7172	128	16	neutrosophic	neutrosophic	ADJ
easat-7172	128	17	uncertainty	uncertainty	NOUN
easat-7172	128	18	:	:	PUNCT
easat-7172	128	19	let	let	VERB
easat-7172	128	20	𝑉	𝑉	PRON
easat-7172	128	21	be	be	AUX
easat-7172	128	22	a	a	DET
easat-7172	128	23	crisp	crisp	ADJ
easat-7172	128	24	set	set	NOUN
easat-7172	128	25	and	and	CCONJ
easat-7172	128	26	�	�	PROPN
easat-7172	128	27	̃	̃	PROPN
easat-7172	128	28	�	�	PROPN
easat-7172	128	29	be	be	VERB
easat-7172	128	30	a	a	DET
easat-7172	128	31	neutrosophic	neutrosophic	ADJ
easat-7172	128	32	set	set	NOUN
easat-7172	128	33	in	in	ADP
easat-7172	128	34	𝑉.	𝑉.	NOUN
easat-7172	128	35	the	the	DET
easat-7172	128	36	function	function	NOUN
easat-7172	128	37	𝑔	𝑔	NOUN
easat-7172	128	38	:	:	PUNCT
easat-7172	128	39	𝑉	𝑉	PROPN
easat-7172	128	40	→	→	PUNCT
easat-7172	128	41	𝑄	𝑄	PROPN
easat-7172	128	42	is	be	AUX
easat-7172	128	43	defined	define	VERB
easat-7172	128	44	by	by	ADP
easat-7172	128	45	𝑞	𝑞	PROPN
easat-7172	128	46	=	=	PROPN
easat-7172	128	47	𝑔(𝑣	𝑔(𝑣	PROPN
easat-7172	128	48	)	)	PUNCT
easat-7172	128	49	,	,	PUNCT
easat-7172	128	50	then	then	ADV
easat-7172	128	51	the	the	DET
easat-7172	128	52	extension	extension	NOUN
easat-7172	128	53	principle	principle	NOUN
easat-7172	128	54	introduces	introduce	VERB
easat-7172	128	55	a	a	DET
easat-7172	128	56	neutrosophic	neutrosophic	ADJ
easat-7172	128	57	set	set	VERB
easat-7172	128	58	fuzzy	fuzzy	ADJ
easat-7172	128	59	set	set	VERB
easat-7172	128	60	�	�	PROPN
easat-7172	128	61	̃	̃	PROPN
easat-7172	128	62	�	�	PROPN
easat-7172	128	63	in	in	ADP
easat-7172	128	64	𝑄	𝑄	PROPN
easat-7172	128	65	as	as	ADP
easat-7172	128	66	�	�	PROPN
easat-7172	128	67	̃	̃	PROPN
easat-7172	128	68	�	�	NOUN
easat-7172	128	69	=	=	SYM
easat-7172	128	70	{	{	PUNCT
easat-7172	128	71	(	(	PUNCT
easat-7172	128	72	𝑞	𝑞	PROPN
easat-7172	128	73	,	,	PUNCT
easat-7172	128	74	𝑇𝑐̃(𝑞	𝑇𝑐̃(𝑞	NUM
easat-7172	128	75	)	)	PUNCT
easat-7172	128	76	,	,	PUNCT
easat-7172	128	77	𝐼𝑐̃(𝑞	𝐼𝑐̃(𝑞	NUM
easat-7172	128	78	)	)	PUNCT
easat-7172	128	79	,	,	PUNCT
easat-7172	128	80	𝐹𝑐̃(𝑞)|𝑞	𝐹𝑐̃(𝑞)|𝑞	PROPN
easat-7172	128	81	=	=	SYM
easat-7172	128	82	𝑔(𝑣	𝑔(𝑣	PROPN
easat-7172	128	83	)	)	PUNCT
easat-7172	128	84	,	,	PUNCT
easat-7172	128	85	𝑢	𝑢	PROPN
easat-7172	128	86	∈	∈	PROPN
easat-7172	128	87	𝑈	𝑈	PROPN
easat-7172	128	88	)	)	PUNCT
easat-7172	128	89	}	}	PUNCT
easat-7172	128	90	where	where	SCONJ
easat-7172	128	91	,	,	PUNCT
easat-7172	128	92	𝑇𝑐̃(𝑞	𝑇𝑐̃(𝑞	PRON
easat-7172	128	93	)	)	PUNCT
easat-7172	128	94	=	=	PRON
easat-7172	128	95	{	{	PUNCT
easat-7172	128	96	(	(	PUNCT
easat-7172	128	97	𝑇	𝑇	PROPN
easat-7172	128	98	�	�	PROPN
easat-7172	128	99	̃	̃	PROPN
easat-7172	128	100	�	�	PROPN
easat-7172	128	101	(𝑣	(𝑣	NOUN
easat-7172	128	102	)	)	PUNCT
easat-7172	128	103	)	)	PUNCT
easat-7172	128	104	,	,	PUNCT
easat-7172	129	1	𝑖𝑓𝑓	𝑖𝑓𝑓	PROPN
easat-7172	129	2	𝑔	𝑔	PROPN
easat-7172	129	3	−1(𝑞	−1(𝑞	ADJ
easat-7172	129	4	)	)	PUNCT
easat-7172	129	5	≠	≠	PROPN
easat-7172	129	6	𝜙	𝜙	DET
easat-7172	129	7	𝑣∈𝑔−1(𝑞	𝑣∈𝑔−1(𝑞	NOUN
easat-7172	129	8	)	)	PUNCT
easat-7172	129	9	𝑠𝑢𝑝	𝑠𝑢𝑝	NOUN
easat-7172	129	10	0	0	NUM
easat-7172	129	11	𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒	𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒	NOUN
easat-7172	129	12	𝐼𝑐̃(𝑞	𝐼𝑐̃(𝑞	NUM
easat-7172	129	13	)	)	PUNCT
easat-7172	130	1	=	=	PRON
easat-7172	130	2	{	{	PUNCT
easat-7172	130	3	(	(	PUNCT
easat-7172	130	4	𝐼	𝐼	PROPN
easat-7172	130	5	�	�	PROPN
easat-7172	130	6	̃	̃	PROPN
easat-7172	130	7	�	�	PROPN
easat-7172	130	8	(𝑣	(𝑣	NOUN
easat-7172	130	9	)	)	PUNCT
easat-7172	130	10	)	)	PUNCT
easat-7172	130	11	,	,	PUNCT
easat-7172	130	12	𝑖𝑓𝑓	𝑖𝑓𝑓	PROPN
easat-7172	130	13	𝑔	𝑔	PROPN
easat-7172	130	14	−1(𝑞	−1(𝑞	ADJ
easat-7172	130	15	)	)	PUNCT
easat-7172	130	16	≠	≠	PROPN
easat-7172	130	17	𝜙	𝜙	DET
easat-7172	130	18	𝑣∈𝑔−1(𝑞	𝑣∈𝑔−1(𝑞	X
easat-7172	130	19	)	)	PUNCT
easat-7172	130	20	𝑖𝑛𝑓	𝑖𝑛𝑓	NOUN
easat-7172	130	21	1	1	NUM
easat-7172	130	22	𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒	𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒	NOUN
easat-7172	130	23	and	and	CCONJ
easat-7172	130	24	𝐹𝑐̃(𝑞	𝐹𝑐̃(𝑞	NUM
easat-7172	130	25	)	)	PUNCT
easat-7172	130	26	=	=	PRON
easat-7172	130	27	{	{	PUNCT
easat-7172	130	28	(	(	PUNCT
easat-7172	130	29	𝐹	𝐹	PROPN
easat-7172	130	30	�	�	PROPN
easat-7172	130	31	̃	̃	PROPN
easat-7172	130	32	�	�	PROPN
easat-7172	130	33	(𝑣	(𝑣	NOUN
easat-7172	130	34	)	)	PUNCT
easat-7172	130	35	)	)	PUNCT
easat-7172	130	36	,	,	PUNCT
easat-7172	130	37	𝑖𝑓𝑓	𝑖𝑓𝑓	PROPN
easat-7172	130	38	𝑔	𝑔	PROPN
easat-7172	130	39	−1(𝑞	−1(𝑞	ADJ
easat-7172	130	40	)	)	PUNCT
easat-7172	130	41	≠	≠	PROPN
easat-7172	130	42	𝜙	𝜙	PRON
easat-7172	130	43	𝑣∈𝑔−1(𝑞	𝑣∈𝑔−1(𝑞	X
easat-7172	130	44	)	)	PUNCT
easat-7172	130	45	𝑖𝑛𝑓	𝑖𝑛𝑓	NOUN
easat-7172	130	46	1	1	NUM
easat-7172	130	47	𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒	𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒	NOUN
easat-7172	130	48	note	note	NOUN
easat-7172	130	49	:	:	PUNCT
easat-7172	130	50	neutrosophic	neutrosophic	ADJ
easat-7172	130	51	extension	extension	NOUN
easat-7172	130	52	principle	principle	NOUN
easat-7172	130	53	ultimately	ultimately	ADV
easat-7172	130	54	is	be	AUX
easat-7172	130	55	the	the	DET
easat-7172	130	56	extension	extension	NOUN
easat-7172	130	57	of	of	ADP
easat-7172	130	58	zadey	zadey	PROPN
easat-7172	130	59	’s	’s	PART
easat-7172	130	60	extension	extension	NOUN
easat-7172	130	61	principal	principal	NOUN
easat-7172	130	62	.	.	PUNCT
easat-7172	131	1	our	our	PRON
easat-7172	131	2	main	main	ADJ
easat-7172	131	3	aim	aim	NOUN
easat-7172	131	4	is	be	AUX
easat-7172	131	5	to	to	PART
easat-7172	131	6	use	use	VERB
easat-7172	131	7	the	the	DET
easat-7172	131	8	theory	theory	NOUN
easat-7172	131	9	for	for	ADP
easat-7172	131	10	finding	find	VERB
easat-7172	131	11	the	the	DET
easat-7172	131	12	solution	solution	NOUN
easat-7172	131	13	of	of	ADP
easat-7172	131	14	neutrosophic	neutrosophic	ADJ
easat-7172	131	15	fractional	fractional	ADJ
easat-7172	131	16	differential	differential	NOUN
easat-7172	131	17	equation	equation	NOUN
easat-7172	131	18	.	.	PUNCT
easat-7172	132	1	example	example	NOUN
easat-7172	132	2	:	:	PUNCT
easat-7172	133	1	let	let	VERB
easat-7172	133	2	,	,	PUNCT
easat-7172	133	3	�	�	PROPN
easat-7172	133	4	̃	̃	PROPN
easat-7172	133	5	�	�	PROPN
easat-7172	133	6	𝑔	𝑔	PROPN
easat-7172	133	7	be	be	VERB
easat-7172	133	8	a	a	DET
easat-7172	133	9	neutrosophic	neutrosophic	ADJ
easat-7172	133	10	set	set	NOUN
easat-7172	133	11	given	give	VERB
easat-7172	133	12	by	by	ADP
easat-7172	133	13	the	the	DET
easat-7172	133	14	truth	truth	NOUN
easat-7172	133	15	,	,	PUNCT
easat-7172	133	16	indeterminacy	indeterminacy	NOUN
easat-7172	133	17	and	and	CCONJ
easat-7172	133	18	falsity	falsity	NOUN
easat-7172	133	19	function	function	NOUN
easat-7172	133	20	as	as	SCONJ
easat-7172	133	21	follows	follow	VERB
easat-7172	133	22	:	:	PUNCT
easat-7172	133	23	1398	1398	NUM
easat-7172	133	24	edelweiss	edelweiss	PROPN
easat-7172	133	25	applied	apply	VERB
easat-7172	133	26	science	science	NOUN
easat-7172	133	27	and	and	CCONJ
easat-7172	133	28	technology	technology	NOUN
easat-7172	133	29	issn	issn	PROPN
easat-7172	133	30	:	:	PUNCT
easat-7172	133	31	2576	2576	NUM
easat-7172	133	32	-	-	SYM
easat-7172	133	33	8484	8484	NUM
easat-7172	133	34	vol	vol	NOUN
easat-7172	133	35	.	.	PROPN
easat-7172	134	1	9	9	NUM
easat-7172	134	2	,	,	PUNCT
easat-7172	134	3	no	no	INTJ
easat-7172	134	4	.	.	NOUN
easat-7172	134	5	5	5	NUM
easat-7172	134	6	:	:	SYM
easat-7172	134	7	1393	1393	NUM
easat-7172	134	8	-	-	SYM
easat-7172	134	9	1405	1405	NUM
easat-7172	134	10	,	,	PUNCT
easat-7172	134	11	2025	2025	NUM
easat-7172	134	12	doi	doi	NOUN
easat-7172	134	13	:	:	PUNCT
easat-7172	134	14	10.55214/25768484.v9i5.7172	10.55214/25768484.v9i5.7172	NUM
easat-7172	134	15	©	©	PROPN
easat-7172	134	16	2025	2025	NUM
easat-7172	134	17	by	by	ADP
easat-7172	134	18	the	the	DET
easat-7172	134	19	author	author	NOUN
easat-7172	134	20	;	;	PUNCT
easat-7172	134	21	licensee	licensee	PROPN
easat-7172	134	22	learning	learn	VERB
easat-7172	134	23	gate	gate	NOUN
easat-7172	134	24	𝑇𝐵𝑔(𝑥	𝑇𝐵𝑔(𝑥	NOUN
easat-7172	134	25	)	)	PUNCT
easat-7172	135	1	=	=	PRON
easat-7172	135	2	{	{	PUNCT
easat-7172	135	3	0	0	NUM
easat-7172	135	4	𝑖𝑓	𝑖𝑓	NUM
easat-7172	135	5	𝑥	𝑥	NOUN
easat-7172	135	6	≤	≤	NUM
easat-7172	135	7	80	80	NUM
easat-7172	135	8	(	(	PUNCT
easat-7172	135	9	𝑥	𝑥	NOUN
easat-7172	135	10	−	−	NUM
easat-7172	135	11	80	80	NUM
easat-7172	135	12	20	20	NUM
easat-7172	135	13	)	)	PUNCT
easat-7172	135	14	𝑖𝑓	𝑖𝑓	ADP
easat-7172	135	15	80	80	NUM
easat-7172	135	16	≤	≤	NUM
easat-7172	136	1	𝑥	𝑥	PRON
easat-7172	136	2	<	<	X
easat-7172	136	3	100	100	NUM
easat-7172	136	4	1	1	NUM
easat-7172	136	5	𝑖𝑓	𝑖𝑓	ADP
easat-7172	136	6	𝑥	𝑥	NOUN
easat-7172	136	7	=	=	SYM
easat-7172	136	8	100	100	NUM
easat-7172	136	9	(	(	PUNCT
easat-7172	136	10	120	120	NUM
easat-7172	136	11	−	−	NOUN
easat-7172	136	12	𝑥	𝑥	NOUN
easat-7172	136	13	20	20	NUM
easat-7172	136	14	)	)	PUNCT
easat-7172	136	15	𝑖𝑓	𝑖𝑓	ADP
easat-7172	136	16	100	100	NUM
easat-7172	136	17	<	<	X
easat-7172	136	18	𝑥	𝑥	X
easat-7172	136	19	≤	≤	NUM
easat-7172	136	20	120	120	NUM
easat-7172	136	21	0	0	NUM
easat-7172	136	22	𝑖𝑓	𝑖𝑓	ADP
easat-7172	137	1	𝑥	𝑥	PRON
easat-7172	137	2	≥	≥	NUM
easat-7172	137	3	120	120	NUM
easat-7172	137	4	𝐼𝐵𝑔(𝑥	𝐼𝐵𝑔(𝑥	PROPN
easat-7172	137	5	)	)	PUNCT
easat-7172	137	6	=	=	PRON
easat-7172	137	7	{	{	PUNCT
easat-7172	137	8	0	0	NUM
easat-7172	137	9	𝑖𝑓	𝑖𝑓	ADP
easat-7172	137	10	𝑥	𝑥	NOUN
easat-7172	137	11	≤	≤	NUM
easat-7172	137	12	90	90	NUM
easat-7172	137	13	(	(	PUNCT
easat-7172	137	14	100	100	NUM
easat-7172	137	15	−	−	NOUN
easat-7172	137	16	𝑥	𝑥	PRON
easat-7172	137	17	10	10	NUM
easat-7172	137	18	)	)	PUNCT
easat-7172	137	19	𝑖𝑓	𝑖𝑓	ADP
easat-7172	137	20	90	90	NUM
easat-7172	137	21	≤	≤	NUM
easat-7172	138	1	𝑥	𝑥	PRON
easat-7172	138	2	<	<	X
easat-7172	138	3	100	100	NUM
easat-7172	138	4	0	0	NUM
easat-7172	138	5	𝑖𝑓	𝑖𝑓	ADP
easat-7172	139	1	𝑥	𝑥	NOUN
easat-7172	139	2	=	=	SYM
easat-7172	139	3	100	100	NUM
easat-7172	139	4	(	(	PUNCT
easat-7172	139	5	𝑥	𝑥	NOUN
easat-7172	139	6	−	−	PROPN
easat-7172	139	7	100	100	NUM
easat-7172	139	8	10	10	NUM
easat-7172	139	9	)	)	PUNCT
easat-7172	139	10	𝑖𝑓	𝑖𝑓	ADP
easat-7172	139	11	100	100	NUM
easat-7172	139	12	<	<	X
easat-7172	139	13	𝑥	𝑥	X
easat-7172	139	14	≤	≤	NUM
easat-7172	140	1	110	110	NUM
easat-7172	140	2	0	0	NUM
easat-7172	140	3	𝑖𝑓	𝑖𝑓	ADP
easat-7172	140	4	𝑥	𝑥	PRON
easat-7172	140	5	≥	≥	NUM
easat-7172	140	6	110	110	NUM
easat-7172	140	7	and	and	CCONJ
easat-7172	140	8	𝐹𝐵𝑔(𝑥	𝐹𝐵𝑔(𝑥	NUM
easat-7172	140	9	)	)	PUNCT
easat-7172	140	10	=	=	PRON
easat-7172	140	11	{	{	PUNCT
easat-7172	140	12	0	0	NUM
easat-7172	140	13	𝑖𝑓	𝑖𝑓	NUM
easat-7172	140	14	𝑥	𝑥	NOUN
easat-7172	140	15	≤	≤	NUM
easat-7172	140	16	95	95	NUM
easat-7172	140	17	(	(	PUNCT
easat-7172	140	18	100	100	NUM
easat-7172	140	19	−	−	NOUN
easat-7172	140	20	𝑥	𝑥	SYM
easat-7172	140	21	5	5	NUM
easat-7172	140	22	)	)	PUNCT
easat-7172	140	23	𝑖𝑓	𝑖𝑓	ADP
easat-7172	140	24	95	95	NUM
easat-7172	140	25	≤	≤	NOUN
easat-7172	141	1	𝑥	𝑥	PRON
easat-7172	141	2	<	<	X
easat-7172	141	3	100	100	NUM
easat-7172	141	4	0	0	NUM
easat-7172	141	5	𝑖𝑓	𝑖𝑓	ADP
easat-7172	142	1	𝑥	𝑥	NOUN
easat-7172	142	2	=	=	SYM
easat-7172	142	3	100	100	NUM
easat-7172	142	4	(	(	PUNCT
easat-7172	142	5	𝑥	𝑥	NOUN
easat-7172	142	6	−	−	NUM
easat-7172	142	7	100	100	NUM
easat-7172	142	8	5	5	NUM
easat-7172	142	9	)	)	PUNCT
easat-7172	142	10	𝑖𝑓	𝑖𝑓	ADP
easat-7172	142	11	100	100	NUM
easat-7172	142	12	<	<	X
easat-7172	142	13	𝑥	𝑥	X
easat-7172	142	14	≤	≤	NUM
easat-7172	142	15	105	105	NUM
easat-7172	142	16	0	0	NUM
easat-7172	142	17	𝑖𝑓	𝑖𝑓	ADP
easat-7172	142	18	𝑥	𝑥	PRON
easat-7172	142	19	≥	≥	NOUN
easat-7172	142	20	115	115	NUM
easat-7172	142	21	consider	consider	VERB
easat-7172	142	22	a	a	DET
easat-7172	142	23	function	function	NOUN
easat-7172	142	24	𝐺(𝑥	𝐺(𝑥	NOUN
easat-7172	142	25	)	)	PUNCT
easat-7172	142	26	=	=	PUNCT
easat-7172	143	1	𝑥	𝑥	PROPN
easat-7172	143	2	+	+	NOUN
easat-7172	143	3	50	50	NUM
easat-7172	143	4	.	.	PUNCT
easat-7172	144	1	using	use	VERB
easat-7172	144	2	the	the	DET
easat-7172	144	3	concept	concept	NOUN
easat-7172	144	4	of	of	ADP
easat-7172	144	5	zadeh	zadeh	PROPN
easat-7172	144	6	’s	’s	PART
easat-7172	144	7	extension	extension	NOUN
easat-7172	144	8	principle	principle	NOUN
easat-7172	144	9	,	,	PUNCT
easat-7172	144	10	the	the	DET
easat-7172	144	11	neutrosophic	neutrosophic	ADJ
easat-7172	144	12	set	set	VERB
easat-7172	144	13	𝐺(𝐵𝑔	𝐺(𝐵𝑔	NOUN
easat-7172	144	14	)	)	PUNCT
easat-7172	144	15	can	can	AUX
easat-7172	144	16	be	be	AUX
easat-7172	144	17	determined	determine	VERB
easat-7172	144	18	.	.	PUNCT
easat-7172	145	1	the	the	DET
easat-7172	145	2	function	function	NOUN
easat-7172	145	3	of	of	ADP
easat-7172	145	4	𝐺(𝐵𝑔	𝐺(𝐵𝑔	NOUN
easat-7172	145	5	)	)	PUNCT
easat-7172	145	6	is	be	AUX
easat-7172	145	7	obtained	obtain	VERB
easat-7172	145	8	as	as	SCONJ
easat-7172	145	9	follows	follow	VERB
easat-7172	145	10	:	:	PUNCT
easat-7172	145	11	𝑇𝐵𝑔(𝑥	𝑇𝐵𝑔(𝑥	X
easat-7172	145	12	)	)	PUNCT
easat-7172	146	1	=	=	PRON
easat-7172	146	2	{	{	PUNCT
easat-7172	146	3	0	0	NUM
easat-7172	146	4	𝑖𝑓	𝑖𝑓	ADP
easat-7172	146	5	𝑥	𝑥	NOUN
easat-7172	146	6	≤	≤	NUM
easat-7172	146	7	130	130	NUM
easat-7172	146	8	(	(	PUNCT
easat-7172	146	9	𝑥	𝑥	NOUN
easat-7172	146	10	−	−	NUM
easat-7172	146	11	130	130	NUM
easat-7172	146	12	20	20	NUM
easat-7172	146	13	)	)	PUNCT
easat-7172	146	14	𝑖𝑓	𝑖𝑓	VERB
easat-7172	146	15	130	130	NUM
easat-7172	146	16	≤	≤	NUM
easat-7172	147	1	𝑥	𝑥	PRON
easat-7172	147	2	<	<	X
easat-7172	147	3	150	150	NUM
easat-7172	147	4	1	1	NUM
easat-7172	147	5	𝑖𝑓	𝑖𝑓	ADP
easat-7172	148	1	𝑥	𝑥	NOUN
easat-7172	148	2	=	=	SYM
easat-7172	148	3	150	150	NUM
easat-7172	148	4	(	(	PUNCT
easat-7172	148	5	170	170	NUM
easat-7172	148	6	−	−	NOUN
easat-7172	148	7	𝑥	𝑥	NOUN
easat-7172	148	8	20	20	NUM
easat-7172	148	9	)	)	PUNCT
easat-7172	148	10	𝑖𝑓	𝑖𝑓	ADP
easat-7172	148	11	150	150	NUM
easat-7172	148	12	<	<	X
easat-7172	148	13	𝑥	𝑥	X
easat-7172	148	14	≤	≤	NUM
easat-7172	148	15	170	170	NUM
easat-7172	148	16	0	0	NUM
easat-7172	148	17	𝑖𝑓	𝑖𝑓	ADP
easat-7172	148	18	𝑥	𝑥	PROPN
easat-7172	148	19	≥	≥	NUM
easat-7172	148	20	170	170	NUM
easat-7172	148	21	𝐼𝐵𝑔(𝑥	𝐼𝐵𝑔(𝑥	PROPN
easat-7172	148	22	)	)	PUNCT
easat-7172	148	23	=	=	PRON
easat-7172	148	24	{	{	PUNCT
easat-7172	148	25	0	0	NUM
easat-7172	148	26	𝑖𝑓	𝑖𝑓	ADP
easat-7172	148	27	𝑥	𝑥	NOUN
easat-7172	148	28	≤	≤	NUM
easat-7172	148	29	90	90	NUM
easat-7172	148	30	(	(	PUNCT
easat-7172	148	31	150	150	NUM
easat-7172	148	32	−	−	NOUN
easat-7172	149	1	𝑥	𝑥	PRON
easat-7172	149	2	10	10	NUM
easat-7172	149	3	)	)	PUNCT
easat-7172	149	4	𝑖𝑓	𝑖𝑓	ADP
easat-7172	149	5	140	140	NUM
easat-7172	149	6	≤	≤	NOUN
easat-7172	150	1	𝑥	𝑥	PRON
easat-7172	150	2	<	<	X
easat-7172	150	3	140	140	NUM
easat-7172	150	4	0	0	NUM
easat-7172	150	5	𝑖𝑓	𝑖𝑓	ADP
easat-7172	151	1	𝑥	𝑥	NOUN
easat-7172	151	2	=	=	SYM
easat-7172	151	3	150	150	NUM
easat-7172	151	4	(	(	PUNCT
easat-7172	151	5	𝑥	𝑥	NOUN
easat-7172	151	6	−	−	NUM
easat-7172	151	7	150	150	NUM
easat-7172	151	8	10	10	NUM
easat-7172	151	9	)	)	PUNCT
easat-7172	151	10	𝑖𝑓	𝑖𝑓	ADP
easat-7172	151	11	150	150	NUM
easat-7172	151	12	<	<	NOUN
easat-7172	151	13	𝑥	𝑥	X
easat-7172	151	14	≤	≤	NUM
easat-7172	151	15	160	160	NUM
easat-7172	151	16	0	0	NUM
easat-7172	151	17	𝑖𝑓	𝑖𝑓	ADP
easat-7172	151	18	𝑥	𝑥	PROPN
easat-7172	151	19	≥	≥	NUM
easat-7172	151	20	160	160	NUM
easat-7172	151	21	and	and	CCONJ
easat-7172	151	22	1399	1399	NUM
easat-7172	151	23	edelweiss	edelweiss	PROPN
easat-7172	151	24	applied	apply	VERB
easat-7172	151	25	science	science	NOUN
easat-7172	151	26	and	and	CCONJ
easat-7172	151	27	technology	technology	NOUN
easat-7172	151	28	issn	issn	PROPN
easat-7172	151	29	:	:	PUNCT
easat-7172	151	30	2576	2576	NUM
easat-7172	151	31	-	-	SYM
easat-7172	151	32	8484	8484	NUM
easat-7172	151	33	vol	vol	NOUN
easat-7172	151	34	.	.	PROPN
easat-7172	152	1	9	9	NUM
easat-7172	152	2	,	,	PUNCT
easat-7172	152	3	no	no	INTJ
easat-7172	152	4	.	.	NOUN
easat-7172	152	5	5	5	NUM
easat-7172	152	6	:	:	SYM
easat-7172	152	7	1393	1393	NUM
easat-7172	152	8	-	-	SYM
easat-7172	152	9	1405	1405	NUM
easat-7172	152	10	,	,	PUNCT
easat-7172	152	11	2025	2025	NUM
easat-7172	152	12	doi	doi	NOUN
easat-7172	152	13	:	:	PUNCT
easat-7172	152	14	10.55214/25768484.v9i5.7172	10.55214/25768484.v9i5.7172	NUM
easat-7172	152	15	©	©	PROPN
easat-7172	152	16	2025	2025	NUM
easat-7172	152	17	by	by	ADP
easat-7172	152	18	the	the	DET
easat-7172	152	19	author	author	NOUN
easat-7172	152	20	;	;	PUNCT
easat-7172	152	21	licensee	licensee	PROPN
easat-7172	152	22	learning	learning	NOUN
easat-7172	152	23	gate	gate	NOUN
easat-7172	152	24	𝐹𝐵𝑔(𝑥	𝐹𝐵𝑔(𝑥	PROPN
easat-7172	152	25	)	)	PUNCT
easat-7172	152	26	=	=	PRON
easat-7172	152	27	{	{	PUNCT
easat-7172	152	28	0	0	NUM
easat-7172	152	29	𝑖𝑓	𝑖𝑓	ADP
easat-7172	152	30	𝑥	𝑥	NOUN
easat-7172	152	31	≤	≤	NUM
easat-7172	152	32	245	245	NUM
easat-7172	152	33	(	(	PUNCT
easat-7172	152	34	150	150	NUM
easat-7172	152	35	−	−	NOUN
easat-7172	152	36	𝑥	𝑥	NOUN
easat-7172	152	37	5	5	NUM
easat-7172	152	38	)	)	PUNCT
easat-7172	152	39	𝑖𝑓	𝑖𝑓	ADP
easat-7172	152	40	145	145	NUM
easat-7172	152	41	≤	≤	NOUN
easat-7172	153	1	𝑥	𝑥	DET
easat-7172	153	2	<	<	X
easat-7172	153	3	150	150	NUM
easat-7172	153	4	0	0	NUM
easat-7172	153	5	𝑖𝑓	𝑖𝑓	ADP
easat-7172	153	6	𝑥	𝑥	NOUN
easat-7172	153	7	=	=	SYM
easat-7172	153	8	150	150	NUM
easat-7172	153	9	(	(	PUNCT
easat-7172	153	10	𝑥	𝑥	NOUN
easat-7172	153	11	−	−	NUM
easat-7172	153	12	150	150	NUM
easat-7172	153	13	5	5	NUM
easat-7172	153	14	)	)	PUNCT
easat-7172	153	15	𝑖𝑓	𝑖𝑓	ADP
easat-7172	153	16	150	150	NUM
easat-7172	153	17	<	<	NOUN
easat-7172	153	18	𝑥	𝑥	X
easat-7172	153	19	≤	≤	NUM
easat-7172	153	20	165	165	NUM
easat-7172	153	21	0	0	NUM
easat-7172	153	22	𝑖𝑓	𝑖𝑓	ADP
easat-7172	153	23	𝑥	𝑥	PROPN
easat-7172	153	24	≥	≥	NUM
easat-7172	153	25	165	165	NUM
easat-7172	153	26	theorem	theorem	VERB
easat-7172	153	27	:	:	PUNCT
easat-7172	153	28	if	if	SCONJ
easat-7172	153	29	�	�	PROPN
easat-7172	153	30	̃	̃	PROPN
easat-7172	153	31	�	�	NOUN
easat-7172	153	32	(𝑡	(𝑡	NOUN
easat-7172	153	33	):	):	PUNCT
easat-7172	153	34	[	[	X
easat-7172	153	35	𝑡0	𝑡0	NOUN
easat-7172	153	36	,	,	PUNCT
easat-7172	153	37	𝑇	𝑇	PROPN
easat-7172	153	38	]	]	PUNCT
easat-7172	153	39	→	→	SYM
easat-7172	153	40	𝐹(𝑅	𝐹(𝑅	PROPN
easat-7172	153	41	)	)	PUNCT
easat-7172	153	42	is	be	AUX
easat-7172	153	43	a	a	DET
easat-7172	153	44	neutrosophic	neutrosophic	ADJ
easat-7172	153	45	fuzzy	fuzzy	ADJ
easat-7172	153	46	function	function	NOUN
easat-7172	153	47	whose	whose	DET
easat-7172	153	48	(	(	PUNCT
easat-7172	153	49	𝛼	𝛼	NOUN
easat-7172	153	50	,	,	PUNCT
easat-7172	153	51	𝛽	𝛽	NOUN
easat-7172	153	52	,	,	PUNCT
easat-7172	153	53	𝛾)cut	𝛾)cut	PROPN
easat-7172	153	54	are	be	AUX
easat-7172	153	55	denoted	denote	VERB
easat-7172	153	56	by	by	ADP
easat-7172	153	57	(	(	PUNCT
easat-7172	153	58	�	�	PROPN
easat-7172	153	59	̃	̃	NOUN
easat-7172	153	60	�	�	PROPN
easat-7172	153	61	(𝑡))𝛼,𝛽,𝛾	(𝑡))𝛼,𝛽,𝛾	NUM
easat-7172	153	62	=	=	SYM
easat-7172	153	63	{	{	PUNCT
easat-7172	153	64	[	[	X
easat-7172	153	65	𝑦11(𝑡	𝑦11(𝑡	X
easat-7172	153	66	,	,	PUNCT
easat-7172	153	67	𝛼	𝛼	NOUN
easat-7172	153	68	)	)	PUNCT
easat-7172	153	69	,	,	PUNCT
easat-7172	153	70	𝑦12(𝑡	𝑦12(𝑡	NOUN
easat-7172	153	71	,	,	PUNCT
easat-7172	153	72	𝛼	𝛼	NOUN
easat-7172	153	73	)	)	PUNCT
easat-7172	153	74	]	]	PUNCT
easat-7172	153	75	;	;	PUNCT
easat-7172	153	76	[	[	X
easat-7172	153	77	𝑦21(𝑡	𝑦21(𝑡	ADP
easat-7172	153	78	,	,	PUNCT
easat-7172	153	79	𝛽	𝛽	NOUN
easat-7172	153	80	)	)	PUNCT
easat-7172	153	81	,	,	PUNCT
easat-7172	153	82	𝑦22(𝑡	𝑦22(𝑡	NOUN
easat-7172	153	83	,	,	PUNCT
easat-7172	153	84	𝛽	𝛽	NOUN
easat-7172	153	85	)	)	PUNCT
easat-7172	153	86	]	]	PUNCT
easat-7172	153	87	;	;	PUNCT
easat-7172	154	1	[	[	X
easat-7172	154	2	𝑦31(𝑡	𝑦31(𝑡	PRON
easat-7172	154	3	,	,	PUNCT
easat-7172	154	4	𝛾	𝛾	NOUN
easat-7172	154	5	)	)	PUNCT
easat-7172	154	6	,	,	PUNCT
easat-7172	154	7	𝑦32(𝑡	𝑦32(𝑡	PROPN
easat-7172	154	8	,	,	PUNCT
easat-7172	154	9	𝛾	𝛾	NOUN
easat-7172	154	10	)	)	PUNCT
easat-7172	154	11	]	]	PUNCT
easat-7172	154	12	}	}	PUNCT
easat-7172	154	13	for	for	ADP
easat-7172	154	14	𝛼	𝛼	PROPN
easat-7172	154	15	,	,	PUNCT
easat-7172	154	16	𝛽	𝛽	NOUN
easat-7172	154	17	,	,	PUNCT
easat-7172	154	18	𝛾	𝛾	ADP
easat-7172	154	19	∈	∈	PROPN
easat-7172	155	1	[	[	X
easat-7172	155	2	0,1	0,1	NUM
easat-7172	155	3	]	]	PUNCT
easat-7172	155	4	,	,	PUNCT
easat-7172	155	5	then	then	ADV
easat-7172	155	6	(	(	PUNCT
easat-7172	155	7	i	i	NOUN
easat-7172	155	8	)	)	PUNCT
easat-7172	155	9	(	(	PUNCT
easat-7172	155	10	�	�	PROPN
easat-7172	155	11	̃	̃	NOUN
easat-7172	155	12	�	�	NOUN
easat-7172	155	13	(𝑡))𝛼,𝛽,𝛾	(𝑡))𝛼,𝛽,𝛾	NUM
easat-7172	155	14	is	be	AUX
easat-7172	155	15	nonempty	nonempty	ADJ
easat-7172	155	16	compact	compact	ADJ
easat-7172	155	17	subset	subset	NOUN
easat-7172	155	18	of	of	ADP
easat-7172	155	19	𝑅.	𝑅.	PROPN
easat-7172	155	20	(	(	PUNCT
easat-7172	155	21	ii	ii	NOUN
easat-7172	155	22	)	)	PUNCT
easat-7172	155	23	(	(	PUNCT
easat-7172	155	24	�	�	PROPN
easat-7172	155	25	̃	̃	NOUN
easat-7172	155	26	�	�	PROPN
easat-7172	155	27	(𝑡))𝛼1	(𝑡))𝛼1	PUNCT
easat-7172	155	28	⊆	⊆	NUM
easat-7172	155	29	(	(	PUNCT
easat-7172	155	30	�	�	PROPN
easat-7172	155	31	̃	̃	NOUN
easat-7172	155	32	�	�	NOUN
easat-7172	155	33	(𝑡))𝛼2	(𝑡))𝛼2	X
easat-7172	155	34	,	,	PUNCT
easat-7172	155	35	(	(	PUNCT
easat-7172	155	36	�	�	PROPN
easat-7172	155	37	̃	̃	NOUN
easat-7172	155	38	�	�	NOUN
easat-7172	155	39	(𝑡))𝛽1	(𝑡))𝛽1	NUM
easat-7172	155	40	⊆	⊆	NUM
easat-7172	155	41	(	(	PUNCT
easat-7172	155	42	�	�	PROPN
easat-7172	155	43	̃	̃	NOUN
easat-7172	155	44	�	�	PROPN
easat-7172	155	45	(𝑡))𝛽2	(𝑡))𝛽2	PUNCT
easat-7172	155	46	and	and	CCONJ
easat-7172	155	47	(	(	PUNCT
easat-7172	155	48	�	�	PROPN
easat-7172	155	49	̃	̃	PROPN
easat-7172	155	50	�	�	PROPN
easat-7172	155	51	(𝑡))𝛾1	(𝑡))𝛾1	NUM
easat-7172	155	52	⊆	⊆	NUM
easat-7172	155	53	(	(	PUNCT
easat-7172	155	54	�	�	PROPN
easat-7172	155	55	̃	̃	NOUN
easat-7172	155	56	�	�	NOUN
easat-7172	155	57	(𝑡))𝛾2	(𝑡))𝛾2	PUNCT
easat-7172	155	58	for	for	ADP
easat-7172	155	59	0	0	NUM
easat-7172	155	60	≤	≤	NUM
easat-7172	155	61	𝛼1	𝛼1	NOUN
easat-7172	155	62	≤	≤	X
easat-7172	155	63	𝛼2	𝛼2	PROPN
easat-7172	155	64	≤	≤	NUM
easat-7172	155	65	1	1	NUM
easat-7172	155	66	,	,	PUNCT
easat-7172	155	67	0	0	NUM
easat-7172	155	68	≤	≤	NUM
easat-7172	155	69	𝛽1	𝛽1	NOUN
easat-7172	155	70	≤	≤	NOUN
easat-7172	155	71	𝛽2	𝛽2	NOUN
easat-7172	155	72	≤	≤	NOUN
easat-7172	155	73	1	1	NUM
easat-7172	155	74	,	,	PUNCT
easat-7172	155	75	0	0	NUM
easat-7172	155	76	≤	≤	NUM
easat-7172	155	77	𝛾1	𝛾1	PROPN
easat-7172	155	78	≤	≤	NUM
easat-7172	155	79	𝛾2	𝛾2	VERB
easat-7172	155	80	≤	≤	NUM
easat-7172	155	81	1	1	NUM
easat-7172	155	82	.	.	NOUN
easat-7172	155	83	4	4	NUM
easat-7172	155	84	.	.	NUM
easat-7172	155	85	neutrosophic	neutrosophic	ADJ
easat-7172	155	86	fractional	fractional	ADJ
easat-7172	155	87	differential	differential	NOUN
easat-7172	155	88	equation	equation	NOUN
easat-7172	155	89	(	(	PUNCT
easat-7172	155	90	nfde	nfde	NOUN
easat-7172	155	91	)	)	PUNCT
easat-7172	155	92	in	in	ADP
easat-7172	155	93	this	this	DET
easat-7172	155	94	section	section	NOUN
easat-7172	155	95	we	we	PRON
easat-7172	155	96	introduce	introduce	VERB
easat-7172	155	97	neutrosophic	neutrosophic	ADJ
easat-7172	155	98	fractional	fractional	ADJ
easat-7172	155	99	differential	differential	NOUN
easat-7172	155	100	equation	equation	NOUN
easat-7172	155	101	.	.	PUNCT
easat-7172	156	1	it	it	PRON
easat-7172	156	2	is	be	AUX
easat-7172	156	3	obvious	obvious	ADJ
easat-7172	156	4	that	that	SCONJ
easat-7172	156	5	the	the	DET
easat-7172	156	6	crisp	crisp	ADJ
easat-7172	156	7	fractional	fractional	ADJ
easat-7172	156	8	differential	differential	ADJ
easat-7172	156	9	equation	equation	NOUN
easat-7172	156	10	and	and	CCONJ
easat-7172	156	11	nfde	nfde	NOUN
easat-7172	156	12	is	be	AUX
easat-7172	156	13	different	different	ADJ
easat-7172	156	14	in	in	ADP
easat-7172	156	15	nature	nature	NOUN
easat-7172	156	16	.	.	PUNCT
easat-7172	157	1	the	the	DET
easat-7172	157	2	idea	idea	NOUN
easat-7172	157	3	of	of	ADP
easat-7172	157	4	fuzzy	fuzzy	ADJ
easat-7172	157	5	differential	differential	ADJ
easat-7172	157	6	equation	equation	NOUN
easat-7172	157	7	is	be	AUX
easat-7172	157	8	extended	extend	VERB
easat-7172	157	9	here	here	ADV
easat-7172	157	10	.	.	PUNCT
easat-7172	158	1	let	let	VERB
easat-7172	158	2	us	we	PRON
easat-7172	158	3	consider	consider	VERB
easat-7172	158	4	the	the	DET
easat-7172	158	5	crisp	crisp	ADJ
easat-7172	158	6	fractional	fractional	ADJ
easat-7172	158	7	differential	differential	ADJ
easat-7172	158	8	equation	equation	NOUN
easat-7172	158	9	of	of	ADP
easat-7172	158	10	the	the	DET
easat-7172	158	11	form	form	NOUN
easat-7172	158	12	{	{	PUNCT
easat-7172	158	13	𝐷𝑏	𝐷𝑏	PROPN
easat-7172	158	14	𝛿𝑐	𝛿𝑐	NOUN
easat-7172	158	15	𝑦(𝑡	𝑦(𝑡	NUM
easat-7172	158	16	)	)	PUNCT
easat-7172	158	17	=	=	PUNCT
easat-7172	159	1	𝐹(𝑡	𝐹(𝑡	NUM
easat-7172	159	2	,	,	PUNCT
easat-7172	159	3	𝑘	𝑘	NOUN
easat-7172	159	4	,	,	PUNCT
easat-7172	159	5	𝑦(𝑡	𝑦(𝑡	NUM
easat-7172	159	6	)	)	PUNCT
easat-7172	159	7	)	)	PUNCT
easat-7172	159	8	𝑦(𝑡0	𝑦(𝑡0	NOUN
easat-7172	159	9	)	)	PUNCT
easat-7172	159	10	=	=	SYM
easat-7172	159	11	𝑦0	𝑦0	NOUN
easat-7172	159	12	(	(	PUNCT
easat-7172	159	13	1	1	X
easat-7172	159	14	)	)	PUNCT
easat-7172	159	15	where	where	SCONJ
easat-7172	159	16	𝐹	𝐹	PROPN
easat-7172	159	17	:	:	PUNCT
easat-7172	160	1	[	[	X
easat-7172	160	2	𝑡0	𝑡0	NOUN
easat-7172	160	3	,	,	PUNCT
easat-7172	160	4	𝑇	𝑇	PROPN
easat-7172	160	5	]	]	X
easat-7172	160	6	×	×	PROPN
easat-7172	160	7	𝑅	𝑅	PROPN
easat-7172	160	8	→	→	SYM
easat-7172	160	9	𝑅	𝑅	PROPN
easat-7172	160	10	is	be	AUX
easat-7172	160	11	a	a	DET
easat-7172	160	12	real	real	ADV
easat-7172	160	13	valued	value	VERB
easat-7172	160	14	function	function	NOUN
easat-7172	160	15	,	,	PUNCT
easat-7172	160	16	𝑦0	𝑦0	PROPN
easat-7172	160	17	∈	∈	PROPN
easat-7172	160	18	𝑅	𝑅	PROPN
easat-7172	160	19	,	,	PUNCT
easat-7172	160	20	𝑘	𝑘	PRON
easat-7172	160	21	∈	∈	PROPN
easat-7172	160	22	𝑅	𝑅	PROPN
easat-7172	160	23	is	be	AUX
easat-7172	160	24	constant	constant	ADJ
easat-7172	160	25	and	and	CCONJ
easat-7172	160	26	𝛿	𝛿	DET
easat-7172	160	27	∈	∈	PROPN
easat-7172	160	28	(	(	PUNCT
easat-7172	160	29	0,1	0,1	NOUN
easat-7172	160	30	]	]	PUNCT
easat-7172	160	31	.	.	PUNCT
easat-7172	161	1	the	the	DET
easat-7172	161	2	above	above	ADJ
easat-7172	161	3	fractional	fractional	ADJ
easat-7172	161	4	differential	differential	NOUN
easat-7172	161	5	equation	equation	NOUN
easat-7172	161	6	(	(	PUNCT
easat-7172	161	7	1	1	X
easat-7172	161	8	)	)	PUNCT
easat-7172	161	9	is	be	AUX
easat-7172	161	10	said	say	VERB
easat-7172	161	11	to	to	PART
easat-7172	161	12	be	be	AUX
easat-7172	161	13	neutrosohic	neutrosohic	ADJ
easat-7172	161	14	fractional	fractional	ADJ
easat-7172	161	15	differential	differential	ADJ
easat-7172	161	16	equation	equation	NOUN
easat-7172	161	17	if	if	SCONJ
easat-7172	161	18	one	one	NUM
easat-7172	161	19	of	of	ADP
easat-7172	161	20	the	the	DET
easat-7172	161	21	following	follow	VERB
easat-7172	161	22	conditions	condition	NOUN
easat-7172	161	23	holds	hold	VERB
easat-7172	161	24	:	:	PUNCT
easat-7172	161	25	i.	i.	NOUN
easat-7172	161	26	the	the	DET
easat-7172	161	27	initial	initial	ADJ
easat-7172	161	28	conditions	condition	NOUN
easat-7172	161	29	𝑦0	𝑦0	NOUN
easat-7172	161	30	is	be	AUX
easat-7172	161	31	neutrosophic	neutrosophic	ADJ
easat-7172	161	32	fuzzy	fuzzy	ADJ
easat-7172	161	33	valued	value	VERB
easat-7172	161	34	number	number	NOUN
easat-7172	161	35	ii	ii	PROPN
easat-7172	161	36	.	.	PUNCT
easat-7172	162	1	the	the	DET
easat-7172	162	2	coefficient	coefficient	NOUN
easat-7172	162	3	or	or	CCONJ
easat-7172	162	4	constant	constant	ADJ
easat-7172	162	5	𝑘	𝑘	PRON
easat-7172	162	6	is	be	AUX
easat-7172	162	7	neutrosophic	neutrosophic	ADJ
easat-7172	162	8	fuzzy	fuzzy	ADJ
easat-7172	162	9	valued	value	VERB
easat-7172	162	10	number	number	NOUN
easat-7172	162	11	iii	iii	PROPN
easat-7172	162	12	.	.	PUNCT
easat-7172	163	1	both	both	CCONJ
easat-7172	163	2	the	the	DET
easat-7172	163	3	initial	initial	ADJ
easat-7172	163	4	conditions	condition	NOUN
easat-7172	163	5	𝑦0	𝑦0	NOUN
easat-7172	163	6	and	and	CCONJ
easat-7172	163	7	coefficient	coefficient	NOUN
easat-7172	163	8	or	or	CCONJ
easat-7172	163	9	constant	constant	ADJ
easat-7172	163	10	𝑘	𝑘	PRON
easat-7172	163	11	is	be	AUX
easat-7172	163	12	neutrosophic	neutrosophic	ADJ
easat-7172	163	13	fuzzy	fuzzy	ADJ
easat-7172	163	14	valued	value	VERB
easat-7172	163	15	number	number	NOUN
easat-7172	163	16	here	here	ADV
easat-7172	163	17	a	a	DET
easat-7172	163	18	question	question	NOUN
easat-7172	163	19	arises	arise	VERB
easat-7172	163	20	that	that	SCONJ
easat-7172	163	21	when	when	SCONJ
easat-7172	163	22	we	we	PRON
easat-7172	163	23	consider	consider	VERB
easat-7172	163	24	the	the	DET
easat-7172	163	25	above	above	ADJ
easat-7172	163	26	cases	case	NOUN
easat-7172	163	27	?	?	PUNCT
easat-7172	164	1	basically	basically	ADV
easat-7172	164	2	,	,	PUNCT
easat-7172	164	3	for	for	ADP
easat-7172	164	4	theoretical	theoretical	ADJ
easat-7172	164	5	study	study	NOUN
easat-7172	164	6	any	any	DET
easat-7172	164	7	one	one	NUM
easat-7172	164	8	or	or	CCONJ
easat-7172	164	9	all	all	DET
easat-7172	164	10	three	three	NUM
easat-7172	164	11	may	may	AUX
easat-7172	164	12	considered	consider	VERB
easat-7172	164	13	.	.	PUNCT
easat-7172	165	1	but	but	CCONJ
easat-7172	165	2	for	for	ADP
easat-7172	165	3	real	real	ADJ
easat-7172	165	4	life	life	NOUN
easat-7172	165	5	model	model	NOUN
easat-7172	165	6	the	the	DET
easat-7172	165	7	one	one	NOUN
easat-7172	165	8	has	have	VERB
easat-7172	165	9	to	to	PART
easat-7172	165	10	take	take	VERB
easat-7172	165	11	which	which	PRON
easat-7172	165	12	is	be	AUX
easat-7172	165	13	best	well	ADV
easat-7172	165	14	fit	fit	ADJ
easat-7172	165	15	for	for	ADP
easat-7172	165	16	the	the	DET
easat-7172	165	17	model	model	NOUN
easat-7172	165	18	considered	consider	VERB
easat-7172	165	19	.	.	PUNCT
easat-7172	166	1	in	in	ADP
easat-7172	166	2	this	this	DET
easat-7172	166	3	study	study	NOUN
easat-7172	166	4	we	we	PRON
easat-7172	166	5	only	only	ADV
easat-7172	166	6	consider	consider	VERB
easat-7172	166	7	the	the	DET
easat-7172	166	8	first	first	ADJ
easat-7172	166	9	cases	case	NOUN
easat-7172	166	10	i.e.	i.e.	X
easat-7172	166	11	,	,	PUNCT
easat-7172	166	12	the	the	DET
easat-7172	166	13	initial	initial	ADJ
easat-7172	166	14	condition	condition	NOUN
easat-7172	166	15	is	be	AUX
easat-7172	166	16	neutrosophic	neutrosophic	ADJ
easat-7172	166	17	fuzzy	fuzzy	ADJ
easat-7172	166	18	valued	value	VERB
easat-7172	166	19	number	number	NOUN
easat-7172	166	20	.	.	PUNCT
easat-7172	167	1	in	in	ADP
easat-7172	167	2	future	future	ADJ
easat-7172	167	3	study	study	NOUN
easat-7172	167	4	all	all	DET
easat-7172	167	5	cases	case	NOUN
easat-7172	167	6	are	be	AUX
easat-7172	167	7	considered	consider	VERB
easat-7172	167	8	still	still	ADV
easat-7172	167	9	the	the	DET
easat-7172	167	10	idea	idea	NOUN
easat-7172	167	11	for	for	ADP
easat-7172	167	12	solution	solution	NOUN
easat-7172	167	13	strategy	strategy	NOUN
easat-7172	167	14	is	be	AUX
easat-7172	167	15	quite	quite	ADV
easat-7172	167	16	similar	similar	ADJ
easat-7172	167	17	.	.	PUNCT
easat-7172	168	1	since	since	SCONJ
easat-7172	168	2	the	the	DET
easat-7172	168	3	initial	initial	ADJ
easat-7172	168	4	condition	condition	NOUN
easat-7172	168	5	is	be	AUX
easat-7172	168	6	neutrosophic	neutrosophic	ADJ
easat-7172	168	7	fuzzy	fuzzy	ADJ
easat-7172	168	8	valued	value	VERB
easat-7172	168	9	so	so	SCONJ
easat-7172	168	10	the	the	DET
easat-7172	168	11	solutions	solution	NOUN
easat-7172	168	12	also	also	ADV
easat-7172	168	13	neutrosophic	neutrosophic	ADJ
easat-7172	168	14	fuzzy	fuzzy	NOUN
easat-7172	168	15	valued	value	VERB
easat-7172	168	16	,	,	PUNCT
easat-7172	168	17	so	so	ADV
easat-7172	168	18	we	we	PRON
easat-7172	168	19	take	take	VERB
easat-7172	168	20	the	the	DET
easat-7172	168	21	whole	whole	ADJ
easat-7172	168	22	equations	equation	NOUN
easat-7172	168	23	form	form	VERB
easat-7172	168	24	as	as	SCONJ
easat-7172	168	25	follows	follow	VERB
easat-7172	168	26	and	and	CCONJ
easat-7172	168	27	treated	treat	VERB
easat-7172	168	28	as	as	ADP
easat-7172	168	29	neutrosophic	neutrosophic	ADJ
easat-7172	168	30	fuzzy	fuzzy	ADJ
easat-7172	168	31	fractional	fractional	ADJ
easat-7172	168	32	differential	differential	NOUN
easat-7172	168	33	equations	equation	NOUN
easat-7172	168	34	:	:	PUNCT
easat-7172	168	35	{	{	PUNCT
easat-7172	168	36	𝐷𝑏	𝐷𝑏	PRON
easat-7172	168	37	𝛿𝑐	𝛿𝑐	NOUN
easat-7172	168	38	�	�	PROPN
easat-7172	168	39	̃	̃	PROPN
easat-7172	168	40	�	�	PROPN
easat-7172	168	41	(𝑡	(𝑡	PART
easat-7172	168	42	)	)	PUNCT
easat-7172	168	43	=	=	SYM
easat-7172	168	44	�	�	PROPN
easat-7172	168	45	̃	̃	PROPN
easat-7172	168	46	�	�	PROPN
easat-7172	168	47	(𝑡	(𝑡	PROPN
easat-7172	168	48	,	,	PUNCT
easat-7172	168	49	𝑘	𝑘	PROPN
easat-7172	168	50	,	,	PUNCT
easat-7172	168	51	𝑦(𝑡	𝑦(𝑡	NUM
easat-7172	168	52	)	)	PUNCT
easat-7172	168	53	)	)	PUNCT
easat-7172	168	54	𝑦(𝑡0	𝑦(𝑡0	NOUN
easat-7172	168	55	)	)	PUNCT
easat-7172	168	56	=	=	SYM
easat-7172	168	57	�	�	PROPN
easat-7172	168	58	̃	̃	PROPN
easat-7172	168	59	�	�	NOUN
easat-7172	168	60	0	0	NUM
easat-7172	168	61	(	(	PUNCT
easat-7172	168	62	2	2	NUM
easat-7172	168	63	)	)	PUNCT
easat-7172	168	64	where	where	SCONJ
easat-7172	168	65	�	�	PROPN
easat-7172	168	66	̃	̃	PROPN
easat-7172	168	67	�	�	PROPN
easat-7172	168	68	:	:	PUNCT
easat-7172	168	69	[	[	X
easat-7172	168	70	𝑡0	𝑡0	NOUN
easat-7172	168	71	,	,	PUNCT
easat-7172	168	72	𝑇	𝑇	PROPN
easat-7172	168	73	]	]	X
easat-7172	168	74	×	×	NOUN
easat-7172	168	75	𝑅𝑓	𝑅𝑓	PROPN
easat-7172	168	76	→	→	SYM
easat-7172	168	77	𝑅𝑓	𝑅𝑓	PROPN
easat-7172	168	78	is	be	AUX
easat-7172	168	79	a	a	DET
easat-7172	168	80	real	real	ADV
easat-7172	168	81	valued	value	VERB
easat-7172	168	82	neutrosophic	neutrosophic	ADJ
easat-7172	168	83	function	function	NOUN
easat-7172	168	84	,	,	PUNCT
easat-7172	168	85	�	�	PROPN
easat-7172	168	86	̃	̃	PROPN
easat-7172	168	87	�	�	PROPN
easat-7172	168	88	0	0	NUM
easat-7172	168	89	∈	∈	PROPN
easat-7172	168	90	𝑅𝑓	𝑅𝑓	PROPN
easat-7172	168	91	,	,	PUNCT
easat-7172	168	92	𝑘	𝑘	PRON
easat-7172	168	93	∈	∈	PROPN
easat-7172	168	94	𝑅	𝑅	PROPN
easat-7172	168	95	is	be	AUX
easat-7172	168	96	constant	constant	ADJ
easat-7172	168	97	and	and	CCONJ
easat-7172	168	98	𝛿	𝛿	DET
easat-7172	168	99	∈	∈	PROPN
easat-7172	168	100	(	(	PUNCT
easat-7172	168	101	0,1	0,1	NOUN
easat-7172	168	102	]	]	PUNCT
easat-7172	168	103	.	.	PUNCT
easat-7172	169	1	note	note	VERB
easat-7172	169	2	1	1	NUM
easat-7172	169	3	:	:	PUNCT
easat-7172	169	4	for	for	ADP
easat-7172	169	5	𝛿	𝛿	ADJ
easat-7172	169	6	=	=	SYM
easat-7172	169	7	1	1	NUM
easat-7172	169	8	,	,	PUNCT
easat-7172	169	9	the	the	DET
easat-7172	169	10	equation	equation	NOUN
easat-7172	169	11	(	(	PUNCT
easat-7172	169	12	1	1	X
easat-7172	169	13	)	)	PUNCT
easat-7172	169	14	converted	convert	VERB
easat-7172	169	15	to	to	ADP
easat-7172	169	16	simple	simple	ADJ
easat-7172	169	17	crisp	crisp	ADJ
easat-7172	169	18	ordinary	ordinary	ADJ
easat-7172	169	19	differential	differential	ADJ
easat-7172	169	20	equation	equation	NOUN
easat-7172	169	21	and	and	CCONJ
easat-7172	169	22	(	(	PUNCT
easat-7172	169	23	2	2	X
easat-7172	169	24	)	)	PUNCT
easat-7172	169	25	converted	convert	VERB
easat-7172	169	26	to	to	ADP
easat-7172	169	27	neutrosophic	neutrosophic	ADJ
easat-7172	169	28	fuzzy	fuzzy	ADJ
easat-7172	169	29	differential	differential	ADJ
easat-7172	169	30	equation	equation	NOUN
easat-7172	169	31	.	.	PUNCT
easat-7172	170	1	also	also	ADV
easat-7172	170	2	,	,	PUNCT
easat-7172	170	3	it	it	PRON
easat-7172	170	4	should	should	AUX
easat-7172	170	5	be	be	AUX
easat-7172	170	6	noted	note	VERB
easat-7172	170	7	that	that	SCONJ
easat-7172	170	8	in	in	ADP
easat-7172	170	9	solution	solution	NOUN
easat-7172	170	10	if	if	SCONJ
easat-7172	170	11	we	we	PRON
easat-7172	170	12	put	put	VERB
easat-7172	170	13	the	the	DET
easat-7172	170	14	integer	integer	NOUN
easat-7172	170	15	value	value	NOUN
easat-7172	170	16	of	of	ADP
easat-7172	170	17	𝛿	𝛿	PROPN
easat-7172	170	18	then	then	ADV
easat-7172	170	19	the	the	DET
easat-7172	170	20	solution	solution	NOUN
easat-7172	170	21	is	be	AUX
easat-7172	170	22	quite	quite	ADV
easat-7172	170	23	similar	similar	ADJ
easat-7172	170	24	by	by	ADP
easat-7172	170	25	not	not	PART
easat-7172	170	26	fully	fully	ADV
easat-7172	170	27	because	because	SCONJ
easat-7172	170	28	we	we	PRON
easat-7172	170	29	have	have	VERB
easat-7172	170	30	to	to	PART
easat-7172	170	31	use	use	VERB
easat-7172	170	32	some	some	DET
easat-7172	170	33	numerical	numerical	ADJ
easat-7172	170	34	approximation	approximation	NOUN
easat-7172	170	35	restrictions	restriction	NOUN
easat-7172	170	36	.	.	PUNCT
easat-7172	171	1	1400	1400	NUM
easat-7172	171	2	edelweiss	edelweiss	PROPN
easat-7172	171	3	applied	apply	VERB
easat-7172	171	4	science	science	NOUN
easat-7172	171	5	and	and	CCONJ
easat-7172	171	6	technology	technology	NOUN
easat-7172	171	7	issn	issn	PROPN
easat-7172	171	8	:	:	PUNCT
easat-7172	171	9	2576	2576	NUM
easat-7172	171	10	-	-	SYM
easat-7172	171	11	8484	8484	NUM
easat-7172	171	12	vol	vol	NOUN
easat-7172	171	13	.	.	PROPN
easat-7172	172	1	9	9	NUM
easat-7172	172	2	,	,	PUNCT
easat-7172	172	3	no	no	INTJ
easat-7172	172	4	.	.	NOUN
easat-7172	172	5	5	5	NUM
easat-7172	172	6	:	:	SYM
easat-7172	172	7	1393	1393	NUM
easat-7172	172	8	-	-	SYM
easat-7172	172	9	1405	1405	NUM
easat-7172	172	10	,	,	PUNCT
easat-7172	172	11	2025	2025	NUM
easat-7172	172	12	doi	doi	NOUN
easat-7172	172	13	:	:	PUNCT
easat-7172	172	14	10.55214/25768484.v9i5.7172	10.55214/25768484.v9i5.7172	NUM
easat-7172	172	15	©	©	PROPN
easat-7172	172	16	2025	2025	NUM
easat-7172	172	17	by	by	ADP
easat-7172	172	18	the	the	DET
easat-7172	172	19	author	author	NOUN
easat-7172	172	20	;	;	PUNCT
easat-7172	172	21	licensee	licensee	PROPN
easat-7172	172	22	learning	learning	NOUN
easat-7172	172	23	gate	gate	NOUN
easat-7172	172	24	5	5	NUM
easat-7172	172	25	.	.	PUNCT
easat-7172	172	26	solution	solution	NOUN
easat-7172	172	27	of	of	ADP
easat-7172	172	28	neutrosophic	neutrosophic	ADJ
easat-7172	172	29	fractional	fractional	ADJ
easat-7172	172	30	differential	differential	NOUN
easat-7172	172	31	equation	equation	NOUN
easat-7172	172	32	using	use	VERB
easat-7172	172	33	extension	extension	NOUN
easat-7172	172	34	principal	principal	ADJ
easat-7172	172	35	method	method	NOUN
easat-7172	172	36	there	there	PRON
easat-7172	172	37	are	be	VERB
easat-7172	172	38	several	several	ADJ
easat-7172	172	39	articles	article	NOUN
easat-7172	172	40	where	where	SCONJ
easat-7172	172	41	extension	extension	NOUN
easat-7172	172	42	principal	principal	NOUN
easat-7172	172	43	is	be	AUX
easat-7172	172	44	used	use	VERB
easat-7172	172	45	to	to	PART
easat-7172	172	46	solve	solve	VERB
easat-7172	172	47	fuzzy	fuzzy	ADJ
easat-7172	172	48	differential	differential	ADJ
easat-7172	172	49	equation	equation	NOUN
easat-7172	172	50	such	such	ADJ
easat-7172	172	51	as	as	ADP
easat-7172	172	52	[	[	X
easat-7172	172	53	1	1	NUM
easat-7172	172	54	-	-	SYM
easat-7172	172	55	4	4	NUM
easat-7172	172	56	]	]	PUNCT
easat-7172	172	57	.	.	PUNCT
easat-7172	173	1	the	the	DET
easat-7172	173	2	idea	idea	NOUN
easat-7172	173	3	is	be	AUX
easat-7172	173	4	very	very	ADV
easat-7172	173	5	popular	popular	ADJ
easat-7172	173	6	since	since	SCONJ
easat-7172	173	7	the	the	DET
easat-7172	173	8	derivative	derivative	NOUN
easat-7172	173	9	of	of	ADP
easat-7172	173	10	fuzzy	fuzzy	ADJ
easat-7172	173	11	functions	function	NOUN
easat-7172	173	12	concepts	concept	NOUN
easat-7172	173	13	or	or	CCONJ
easat-7172	173	14	interval	interval	NOUN
easat-7172	173	15	arithmetic	arithmetic	ADJ
easat-7172	173	16	property	property	NOUN
easat-7172	173	17	is	be	AUX
easat-7172	173	18	not	not	PART
easat-7172	173	19	necessary	necessary	ADJ
easat-7172	173	20	.	.	PUNCT
easat-7172	174	1	the	the	DET
easat-7172	174	2	solution	solution	NOUN
easat-7172	174	3	using	use	VERB
easat-7172	174	4	the	the	DET
easat-7172	174	5	extension	extension	NOUN
easat-7172	174	6	principle	principle	NOUN
easat-7172	174	7	is	be	AUX
easat-7172	174	8	very	very	ADV
easat-7172	174	9	much	much	ADV
easat-7172	174	10	straight	straight	ADJ
easat-7172	174	11	forward	forward	ADV
easat-7172	174	12	.	.	PUNCT
easat-7172	175	1	strating	strate	VERB
easat-7172	175	2	from	from	ADP
easat-7172	175	3	crisp	crisp	ADJ
easat-7172	175	4	solution	solution	NOUN
easat-7172	175	5	,	,	PUNCT
easat-7172	175	6	then	then	ADV
easat-7172	175	7	maximum	maximum	ADJ
easat-7172	175	8	and	and	CCONJ
easat-7172	175	9	minimum	minimum	ADJ
easat-7172	175	10	consideration	consideration	NOUN
easat-7172	175	11	with	with	ADP
easat-7172	175	12	respect	respect	NOUN
easat-7172	175	13	to	to	ADP
easat-7172	175	14	uncertain	uncertain	ADJ
easat-7172	175	15	parameters	parameter	NOUN
easat-7172	175	16	,	,	PUNCT
easat-7172	175	17	then	then	ADV
easat-7172	175	18	submission	submission	VERB
easat-7172	175	19	the	the	DET
easat-7172	175	20	corresponding	corresponding	ADJ
easat-7172	175	21	interval	interval	NOUN
easat-7172	175	22	ends	end	VERB
easat-7172	175	23	the	the	DET
easat-7172	175	24	solution	solution	NOUN
easat-7172	175	25	procedure	procedure	NOUN
easat-7172	175	26	is	be	AUX
easat-7172	175	27	completed	complete	VERB
easat-7172	175	28	.	.	PUNCT
easat-7172	176	1	it	it	PRON
easat-7172	176	2	should	should	AUX
easat-7172	176	3	be	be	AUX
easat-7172	176	4	noted	note	VERB
easat-7172	176	5	that	that	SCONJ
easat-7172	176	6	different	different	ADJ
easat-7172	176	7	method	method	NOUN
easat-7172	176	8	may	may	AUX
easat-7172	176	9	give	give	VERB
easat-7172	176	10	different	different	ADJ
easat-7172	176	11	solution	solution	NOUN
easat-7172	176	12	.	.	PUNCT
easat-7172	177	1	consider	consider	VERB
easat-7172	177	2	the	the	DET
easat-7172	177	3	crisp	crisp	ADJ
easat-7172	177	4	solution	solution	NOUN
easat-7172	177	5	of	of	ADP
easat-7172	177	6	(	(	PUNCT
easat-7172	177	7	2	2	NUM
easat-7172	177	8	)	)	PUNCT
easat-7172	177	9	,	,	PUNCT
easat-7172	177	10	that	that	PRON
easat-7172	177	11	is	be	AUX
easat-7172	177	12	the	the	DET
easat-7172	177	13	solution	solution	NOUN
easat-7172	177	14	of	of	ADP
easat-7172	177	15	(	(	PUNCT
easat-7172	177	16	1	1	NUM
easat-7172	177	17	)	)	PUNCT
easat-7172	177	18	is	be	AUX
easat-7172	177	19	as	as	SCONJ
easat-7172	177	20	follows	follow	VERB
easat-7172	177	21	:	:	PUNCT
easat-7172	177	22	𝑦(𝑡	𝑦(𝑡	NUM
easat-7172	177	23	)	)	PUNCT
easat-7172	178	1	=	=	SYM
easat-7172	178	2	𝑔(𝑘	𝑔(𝑘	PROPN
easat-7172	178	3	,	,	PUNCT
easat-7172	178	4	𝑦0	𝑦0	NOUN
easat-7172	178	5	,	,	PUNCT
easat-7172	178	6	𝑡	𝑡	X
easat-7172	178	7	)	)	PUNCT
easat-7172	178	8	(	(	PUNCT
easat-7172	178	9	3	3	X
easat-7172	178	10	)	)	PUNCT
easat-7172	178	11	in	in	ADP
easat-7172	178	12	equation	equation	NOUN
easat-7172	178	13	(	(	PUNCT
easat-7172	178	14	3	3	X
easat-7172	178	15	)	)	PUNCT
easat-7172	178	16	the	the	DET
easat-7172	178	17	function	function	NOUN
easat-7172	178	18	𝑔	𝑔	PROPN
easat-7172	178	19	is	be	AUX
easat-7172	178	20	crisp	crisp	ADJ
easat-7172	178	21	.	.	PUNCT
easat-7172	179	1	the	the	DET
easat-7172	179	2	idea	idea	NOUN
easat-7172	179	3	is	be	AUX
easat-7172	179	4	that	that	SCONJ
easat-7172	179	5	fuzzification	fuzzification	NOUN
easat-7172	179	6	have	have	VERB
easat-7172	179	7	to	to	PART
easat-7172	179	8	done	do	VERB
easat-7172	179	9	by	by	ADP
easat-7172	179	10	extension	extension	NOUN
easat-7172	179	11	principal	principal	NOUN
easat-7172	179	12	.	.	PUNCT
easat-7172	180	1	in	in	ADP
easat-7172	180	2	the	the	DET
easat-7172	180	3	function	function	NOUN
easat-7172	180	4	𝑘	𝑘	ADP
easat-7172	180	5	,	,	PUNCT
easat-7172	180	6	𝑦0	𝑦0	PRON
easat-7172	180	7	may	may	AUX
easat-7172	180	8	be	be	AUX
easat-7172	180	9	neutrosophic	neutrosophic	ADJ
easat-7172	180	10	in	in	ADP
easat-7172	180	11	nature	nature	NOUN
easat-7172	180	12	.	.	PUNCT
easat-7172	181	1	in	in	ADP
easat-7172	181	2	this	this	DET
easat-7172	181	3	particular	particular	ADJ
easat-7172	181	4	paper	paper	NOUN
easat-7172	181	5	we	we	PRON
easat-7172	181	6	take	take	VERB
easat-7172	181	7	only	only	ADV
easat-7172	181	8	the	the	DET
easat-7172	181	9	initial	initial	ADJ
easat-7172	181	10	value	value	NOUN
easat-7172	181	11	as	as	ADP
easat-7172	181	12	neutrosophic	neutrosophic	ADJ
easat-7172	181	13	number	number	NOUN
easat-7172	181	14	,	,	PUNCT
easat-7172	181	15	so	so	SCONJ
easat-7172	181	16	only	only	ADV
easat-7172	181	17	we	we	PRON
easat-7172	181	18	have	have	VERB
easat-7172	181	19	to	to	PART
easat-7172	181	20	focus	focus	VERB
easat-7172	181	21	the	the	DET
easat-7172	181	22	parameter	parameter	NOUN
easat-7172	181	23	𝑦0	𝑦0	NOUN
easat-7172	181	24	for	for	ADP
easat-7172	181	25	applying	apply	VERB
easat-7172	181	26	zadeh	zadeh	PROPN
easat-7172	181	27	’s	’s	PART
easat-7172	181	28	extension	extension	NOUN
easat-7172	181	29	principle	principle	NOUN
easat-7172	181	30	via	via	ADP
easat-7172	181	31	neutrosophic	neutrosophic	ADJ
easat-7172	181	32	approach	approach	NOUN
easat-7172	181	33	.	.	PUNCT
easat-7172	182	1	and	and	CCONJ
easat-7172	182	2	let	let	VERB
easat-7172	182	3	the	the	DET
easat-7172	182	4	(	(	PUNCT
easat-7172	182	5	𝛼	𝛼	PROPN
easat-7172	182	6	,	,	PUNCT
easat-7172	182	7	𝛽	𝛽	NOUN
easat-7172	182	8	,	,	PUNCT
easat-7172	182	9	𝛾)-cut	𝛾)-cut	NOUN
easat-7172	182	10	of	of	ADP
easat-7172	182	11	the	the	DET
easat-7172	182	12	neutrosophic	neutrosophic	ADJ
easat-7172	182	13	initial	initial	ADJ
easat-7172	182	14	value	value	NOUN
easat-7172	182	15	of	of	ADP
easat-7172	182	16	(	(	PUNCT
easat-7172	182	17	2	2	NUM
easat-7172	182	18	)	)	PUNCT
easat-7172	182	19	is	be	AUX
easat-7172	182	20	(	(	PUNCT
easat-7172	182	21	�	�	PROPN
easat-7172	182	22	̃	̃	NOUN
easat-7172	182	23	�	�	NOUN
easat-7172	182	24	0)𝛼,𝛽,𝛾	0)𝛼,𝛽,𝛾	X
easat-7172	182	25	=	=	SYM
easat-7172	182	26	{	{	PUNCT
easat-7172	182	27	[	[	X
easat-7172	182	28	𝑝1(𝛼	𝑝1(𝛼	NOUN
easat-7172	182	29	)	)	PUNCT
easat-7172	182	30	,	,	PUNCT
easat-7172	182	31	𝑝2(𝛼	𝑝2(𝛼	PROPN
easat-7172	182	32	)	)	PUNCT
easat-7172	182	33	]	]	PUNCT
easat-7172	182	34	;	;	PUNCT
easat-7172	183	1	[	[	X
easat-7172	183	2	𝑞1(𝛽	𝑞1(𝛽	X
easat-7172	183	3	)	)	PUNCT
easat-7172	183	4	,	,	PUNCT
easat-7172	183	5	𝑞2(𝛽	𝑞2(𝛽	NUM
easat-7172	183	6	)	)	PUNCT
easat-7172	183	7	]	]	PUNCT
easat-7172	183	8	;	;	PUNCT
easat-7172	183	9	[	[	X
easat-7172	183	10	𝑟1(𝛾	𝑟1(𝛾	NUM
easat-7172	183	11	)	)	PUNCT
easat-7172	183	12	,	,	PUNCT
easat-7172	183	13	𝑟2(𝛾	𝑟2(𝛾	NUM
easat-7172	183	14	)	)	PUNCT
easat-7172	183	15	]	]	PUNCT
easat-7172	183	16	}	}	PUNCT
easat-7172	183	17	(	(	PUNCT
easat-7172	183	18	4	4	X
easat-7172	183	19	)	)	PUNCT
easat-7172	183	20	this	this	PRON
easat-7172	183	21	above	above	ADV
easat-7172	183	22	is	be	AUX
easat-7172	183	23	parametric	parametric	ADJ
easat-7172	183	24	representation	representation	NOUN
easat-7172	183	25	or	or	CCONJ
easat-7172	183	26	in	in	ADP
easat-7172	183	27	interval	interval	NOUN
easat-7172	183	28	form	form	NOUN
easat-7172	183	29	.	.	PUNCT
easat-7172	184	1	theorem	theorem	VERB
easat-7172	184	2	:	:	PUNCT
easat-7172	184	3	if	if	SCONJ
easat-7172	184	4	(	(	PUNCT
easat-7172	184	5	�	�	PROPN
easat-7172	184	6	̃	̃	NOUN
easat-7172	184	7	�	�	PROPN
easat-7172	184	8	(𝑡))𝛼,𝛽,𝛾	(𝑡))𝛼,𝛽,𝛾	NUM
easat-7172	184	9	=	=	SYM
easat-7172	184	10	{	{	PUNCT
easat-7172	184	11	𝑔(𝑘	𝑔(𝑘	PROPN
easat-7172	184	12	,	,	PUNCT
easat-7172	184	13	𝑦0	𝑦0	NOUN
easat-7172	184	14	,	,	PUNCT
easat-7172	184	15	𝑡)|𝛼	𝑡)|𝛼	PROPN
easat-7172	184	16	;	;	PUNCT
easat-7172	184	17	𝑔(𝑘	𝑔(𝑘	PROPN
easat-7172	184	18	,	,	PUNCT
easat-7172	184	19	𝑦0	𝑦0	NOUN
easat-7172	184	20	,	,	PUNCT
easat-7172	184	21	𝑡)|𝛽	𝑡)|𝛽	NUM
easat-7172	184	22	;	;	PUNCT
easat-7172	184	23	𝑔(𝑘	𝑔(𝑘	PROPN
easat-7172	184	24	,	,	PUNCT
easat-7172	184	25	𝑦0	𝑦0	NOUN
easat-7172	184	26	,	,	PUNCT
easat-7172	184	27	𝑡)|𝛾	𝑡)|𝛾	PROPN
easat-7172	184	28	}	}	PUNCT
easat-7172	184	29	is	be	AUX
easat-7172	184	30	the	the	DET
easat-7172	184	31	solution	solution	NOUN
easat-7172	184	32	of	of	ADP
easat-7172	184	33	(	(	PUNCT
easat-7172	184	34	2	2	NUM
easat-7172	184	35	)	)	PUNCT
easat-7172	184	36	then	then	ADV
easat-7172	184	37	𝑔(𝑘	𝑔(𝑘	PROPN
easat-7172	184	38	,	,	PUNCT
easat-7172	184	39	𝑦0	𝑦0	NOUN
easat-7172	184	40	,	,	PUNCT
easat-7172	184	41	𝑡)|𝛼	𝑡)|𝛼	X
easat-7172	184	42	=	=	PUNCT
easat-7172	185	1	[	[	X
easat-7172	185	2	𝑦11(𝑡	𝑦11(𝑡	X
easat-7172	185	3	,	,	PUNCT
easat-7172	185	4	𝛼	𝛼	NOUN
easat-7172	185	5	)	)	PUNCT
easat-7172	185	6	=	=	SYM
easat-7172	185	7	𝑚𝑖𝑛	𝑚𝑖𝑛	NOUN
easat-7172	185	8	{	{	PUNCT
easat-7172	185	9	�	�	PROPN
easat-7172	185	10	̂	̂	NOUN
easat-7172	185	11	�	�	NOUN
easat-7172	185	12	(𝑘	(𝑘	PROPN
easat-7172	185	13	,	,	PUNCT
easat-7172	185	14	𝑦0	𝑦0	NOUN
easat-7172	185	15	,	,	PUNCT
easat-7172	185	16	𝑡	𝑡	NOUN
easat-7172	185	17	)	)	PUNCT
easat-7172	185	18	}	}	PUNCT
easat-7172	185	19	,	,	PUNCT
easat-7172	185	20	𝑦12(𝑡	𝑦12(𝑡	NOUN
easat-7172	185	21	,	,	PUNCT
easat-7172	185	22	𝛼	𝛼	NOUN
easat-7172	185	23	)	)	PUNCT
easat-7172	185	24	=	=	SYM
easat-7172	185	25	𝑚𝑎𝑥	𝑚𝑎𝑥	X
easat-7172	185	26	{	{	PUNCT
easat-7172	185	27	𝑔(𝑘	𝑔(𝑘	PROPN
easat-7172	185	28	,	,	PUNCT
easat-7172	185	29	𝑦0	𝑦0	NOUN
easat-7172	185	30	,	,	PUNCT
easat-7172	185	31	𝑡)}|	𝑡)}|	X
easat-7172	185	32	𝑦0	𝑦0	NOUN
easat-7172	185	33	∈	∈	NOUN
easat-7172	186	1	[	[	X
easat-7172	186	2	𝑝1(𝛼	𝑝1(𝛼	NOUN
easat-7172	186	3	)	)	PUNCT
easat-7172	186	4	,	,	PUNCT
easat-7172	186	5	𝑝2(𝛼	𝑝2(𝛼	PROPN
easat-7172	186	6	)	)	PUNCT
easat-7172	186	7	]	]	X
easat-7172	186	8	]	]	X
easat-7172	186	9	𝑔(𝑘	𝑔(𝑘	PROPN
easat-7172	186	10	,	,	PUNCT
easat-7172	186	11	𝑦0	𝑦0	NOUN
easat-7172	186	12	,	,	PUNCT
easat-7172	186	13	𝑡)|𝛽	𝑡)|𝛽	NOUN
easat-7172	186	14	=	=	PUNCT
easat-7172	187	1	[	[	X
easat-7172	187	2	𝑦21(𝑡	𝑦21(𝑡	ADP
easat-7172	187	3	,	,	PUNCT
easat-7172	187	4	𝛽	𝛽	NOUN
easat-7172	187	5	)	)	PUNCT
easat-7172	187	6	=	=	SYM
easat-7172	187	7	𝑚𝑖𝑛	𝑚𝑖𝑛	PROPN
easat-7172	187	8	{	{	PUNCT
easat-7172	187	9	�	�	PROPN
easat-7172	187	10	̂	̂	NOUN
easat-7172	187	11	�	�	NOUN
easat-7172	187	12	(𝑘	(𝑘	PROPN
easat-7172	187	13	,	,	PUNCT
easat-7172	187	14	𝑦0	𝑦0	NOUN
easat-7172	187	15	,	,	PUNCT
easat-7172	187	16	𝑡	𝑡	NOUN
easat-7172	187	17	)	)	PUNCT
easat-7172	187	18	}	}	PUNCT
easat-7172	187	19	,	,	PUNCT
easat-7172	187	20	𝑦22(𝑡	𝑦22(𝑡	NOUN
easat-7172	187	21	,	,	PUNCT
easat-7172	187	22	𝛽	𝛽	NOUN
easat-7172	187	23	)	)	PUNCT
easat-7172	187	24	=	=	PUNCT
easat-7172	187	25	𝑚𝑎𝑥	𝑚𝑎𝑥	X
easat-7172	187	26	{	{	PUNCT
easat-7172	187	27	𝑔(𝑘	𝑔(𝑘	PROPN
easat-7172	187	28	,	,	PUNCT
easat-7172	187	29	𝑦0	𝑦0	NOUN
easat-7172	187	30	,	,	PUNCT
easat-7172	187	31	𝑡)}|	𝑡)}|	X
easat-7172	187	32	𝑦0	𝑦0	NOUN
easat-7172	187	33	∈	∈	NOUN
easat-7172	188	1	[	[	X
easat-7172	188	2	𝑞1(𝛽	𝑞1(𝛽	X
easat-7172	188	3	)	)	PUNCT
easat-7172	188	4	,	,	PUNCT
easat-7172	188	5	𝑞2(𝛽	𝑞2(𝛽	NUM
easat-7172	188	6	)	)	PUNCT
easat-7172	189	1	]	]	X
easat-7172	189	2	]	]	X
easat-7172	189	3	𝑔(𝑘	𝑔(𝑘	PROPN
easat-7172	189	4	,	,	PUNCT
easat-7172	189	5	𝑦0	𝑦0	NOUN
easat-7172	189	6	,	,	PUNCT
easat-7172	189	7	𝑡)|𝛾	𝑡)|𝛾	NOUN
easat-7172	189	8	=	=	X
easat-7172	190	1	[	[	X
easat-7172	190	2	𝑦31(𝑡	𝑦31(𝑡	PRON
easat-7172	190	3	,	,	PUNCT
easat-7172	190	4	𝛾	𝛾	NOUN
easat-7172	190	5	)	)	PUNCT
easat-7172	190	6	=	=	SYM
easat-7172	190	7	𝑚𝑖𝑛	𝑚𝑖𝑛	NOUN
easat-7172	190	8	{	{	PUNCT
easat-7172	190	9	𝑔(𝑘	𝑔(𝑘	PROPN
easat-7172	190	10	,	,	PUNCT
easat-7172	190	11	𝑦0	𝑦0	NOUN
easat-7172	190	12	,	,	PUNCT
easat-7172	190	13	𝑡	𝑡	NOUN
easat-7172	190	14	)	)	PUNCT
easat-7172	190	15	}	}	PUNCT
easat-7172	190	16	,	,	PUNCT
easat-7172	190	17	𝑦32(𝑡	𝑦32(𝑡	PROPN
easat-7172	190	18	,	,	PUNCT
easat-7172	190	19	𝛾	𝛾	NOUN
easat-7172	190	20	)	)	PUNCT
easat-7172	190	21	=	=	PUNCT
easat-7172	190	22	𝑚𝑎𝑥	𝑚𝑎𝑥	X
easat-7172	190	23	{	{	PUNCT
easat-7172	190	24	𝑔(𝑘	𝑔(𝑘	PROPN
easat-7172	190	25	,	,	PUNCT
easat-7172	190	26	𝑦0	𝑦0	NOUN
easat-7172	190	27	,	,	PUNCT
easat-7172	190	28	𝑡)}|	𝑡)}|	X
easat-7172	190	29	𝑦0	𝑦0	NOUN
easat-7172	190	30	∈	∈	NOUN
easat-7172	191	1	[	[	X
easat-7172	191	2	𝑟1(𝛾	𝑟1(𝛾	NUM
easat-7172	191	3	)	)	PUNCT
easat-7172	191	4	,	,	PUNCT
easat-7172	191	5	𝑟2(𝛾	𝑟2(𝛾	NUM
easat-7172	191	6	)	)	PUNCT
easat-7172	191	7	]	]	PUNCT
easat-7172	191	8	]	]	PUNCT
easat-7172	191	9	for	for	ADP
easat-7172	191	10	𝛼	𝛼	PROPN
easat-7172	191	11	,	,	PUNCT
easat-7172	191	12	𝛽	𝛽	NOUN
easat-7172	191	13	,	,	PUNCT
easat-7172	191	14	𝛾	𝛾	PROPN
easat-7172	191	15	∈	∈	PROPN
easat-7172	192	1	[	[	X
easat-7172	192	2	0,1	0,1	NUM
easat-7172	192	3	]	]	X
easat-7172	192	4	it	it	PRON
easat-7172	192	5	is	be	AUX
easat-7172	192	6	obvious	obvious	ADJ
easat-7172	192	7	that	that	SCONJ
easat-7172	192	8	𝑦11(𝑡	𝑦11(𝑡	VERB
easat-7172	192	9	,	,	PUNCT
easat-7172	192	10	𝛼	𝛼	NOUN
easat-7172	192	11	)	)	PUNCT
easat-7172	192	12	≤	≤	ADJ
easat-7172	192	13	𝑦12(𝑡	𝑦12(𝑡	NOUN
easat-7172	192	14	,	,	PUNCT
easat-7172	192	15	𝛼	𝛼	NOUN
easat-7172	192	16	)	)	PUNCT
easat-7172	192	17	,	,	PUNCT
easat-7172	192	18	𝑦21(𝑡	𝑦21(𝑡	PROPN
easat-7172	192	19	,	,	PUNCT
easat-7172	192	20	𝛽	𝛽	NOUN
easat-7172	192	21	)	)	PUNCT
easat-7172	192	22	≤	≤	NOUN
easat-7172	192	23	𝑦22(𝑡	𝑦22(𝑡	NOUN
easat-7172	192	24	,	,	PUNCT
easat-7172	192	25	𝛽	𝛽	NOUN
easat-7172	192	26	)	)	PUNCT
easat-7172	192	27	and	and	CCONJ
easat-7172	192	28	𝑦31(𝑡	𝑦31(𝑡	PRON
easat-7172	192	29	,	,	PUNCT
easat-7172	192	30	𝛾	𝛾	NOUN
easat-7172	192	31	)	)	PUNCT
easat-7172	192	32	≤	≤	NOUN
easat-7172	192	33	𝑦32(𝑡	𝑦32(𝑡	PROPN
easat-7172	192	34	,	,	PUNCT
easat-7172	192	35	𝛾	𝛾	PROPN
easat-7172	192	36	)	)	PUNCT
easat-7172	192	37	.	.	PUNCT
easat-7172	193	1	the	the	DET
easat-7172	193	2	above	above	ADJ
easat-7172	193	3	theory	theory	NOUN
easat-7172	193	4	shows	show	VERB
easat-7172	193	5	that	that	SCONJ
easat-7172	193	6	how	how	SCONJ
easat-7172	193	7	we	we	PRON
easat-7172	193	8	may	may	AUX
easat-7172	193	9	find	find	VERB
easat-7172	193	10	the	the	DET
easat-7172	193	11	parametric	parametric	ADJ
easat-7172	193	12	neutrosophic	neutrosophic	ADJ
easat-7172	193	13	function	function	NOUN
easat-7172	193	14	with	with	ADP
easat-7172	193	15	respect	respect	NOUN
easat-7172	193	16	to	to	ADP
easat-7172	193	17	a	a	DET
easat-7172	193	18	neutrosophic	neutrosophic	ADJ
easat-7172	193	19	parameter	parameter	NOUN
easat-7172	193	20	.	.	PUNCT
easat-7172	194	1	two	two	NUM
easat-7172	194	2	cases	case	NOUN
easat-7172	194	3	happen	happen	VERB
easat-7172	194	4	for	for	ADP
easat-7172	194	5	the	the	DET
easat-7172	194	6	𝑔(𝑘	𝑔(𝑘	PROPN
easat-7172	194	7	,	,	PUNCT
easat-7172	194	8	𝑦0	𝑦0	NOUN
easat-7172	194	9	,	,	PUNCT
easat-7172	194	10	𝑡	𝑡	NOUN
easat-7172	194	11	)	)	PUNCT
easat-7172	194	12	.	.	PUNCT
easat-7172	195	1	case	case	NOUN
easat-7172	195	2	1	1	NUM
easat-7172	195	3	:	:	PUNCT
easat-7172	195	4	𝑔(𝑘	𝑔(𝑘	PROPN
easat-7172	195	5	,	,	PUNCT
easat-7172	195	6	𝑡	𝑡	PROPN
easat-7172	195	7	)	)	PUNCT
easat-7172	195	8	is	be	AUX
easat-7172	195	9	increasing	increase	VERB
easat-7172	195	10	with	with	ADP
easat-7172	195	11	respect	respect	NOUN
easat-7172	195	12	to	to	ADP
easat-7172	195	13	𝑦0	𝑦0	NOUN
easat-7172	195	14	then	then	ADV
easat-7172	195	15	by	by	ADP
easat-7172	195	16	zade	zade	PROPN
easat-7172	195	17	’s	’s	PART
easat-7172	195	18	extension	extension	NOUN
easat-7172	195	19	principle	principle	NOUN
easat-7172	195	20	the	the	DET
easat-7172	195	21	solutions	solution	NOUN
easat-7172	195	22	are	be	AUX
easat-7172	195	23	written	write	VERB
easat-7172	195	24	as	as	SCONJ
easat-7172	195	25	follows	follow	VERB
easat-7172	195	26	(	(	PUNCT
easat-7172	195	27	�	�	PROPN
easat-7172	195	28	̃	̃	NOUN
easat-7172	195	29	�	�	PROPN
easat-7172	195	30	(𝑡))𝛼,𝛽,𝛾	(𝑡))𝛼,𝛽,𝛾	NUM
easat-7172	195	31	=	=	SYM
easat-7172	195	32	{	{	PUNCT
easat-7172	195	33	𝑔(𝑘	𝑔(𝑘	PROPN
easat-7172	195	34	,	,	PUNCT
easat-7172	195	35	𝑦0	𝑦0	NOUN
easat-7172	195	36	,	,	PUNCT
easat-7172	195	37	𝑡)|𝛼	𝑡)|𝛼	PROPN
easat-7172	195	38	;	;	PUNCT
easat-7172	195	39	𝑔(𝑘	𝑔(𝑘	PROPN
easat-7172	195	40	,	,	PUNCT
easat-7172	195	41	𝑦0	𝑦0	NOUN
easat-7172	195	42	,	,	PUNCT
easat-7172	195	43	𝑡)|𝛽	𝑡)|𝛽	NUM
easat-7172	195	44	;	;	PUNCT
easat-7172	195	45	𝑔(𝑘	𝑔(𝑘	PROPN
easat-7172	195	46	,	,	PUNCT
easat-7172	195	47	𝑦0	𝑦0	NOUN
easat-7172	195	48	,	,	PUNCT
easat-7172	195	49	𝑡)|𝛾	𝑡)|𝛾	ADJ
easat-7172	195	50	}	}	PUNCT
easat-7172	195	51	(	(	PUNCT
easat-7172	195	52	5	5	NUM
easat-7172	195	53	)	)	PUNCT
easat-7172	195	54	where	where	SCONJ
easat-7172	195	55	{	{	PUNCT
easat-7172	195	56	𝑔(𝑘	𝑔(𝑘	PROPN
easat-7172	195	57	,	,	PUNCT
easat-7172	195	58	𝑦0	𝑦0	NOUN
easat-7172	195	59	,	,	PUNCT
easat-7172	195	60	𝑡)|𝛼	𝑡)|𝛼	X
easat-7172	195	61	=	=	PUNCT
easat-7172	196	1	[	[	X
easat-7172	196	2	𝑔(𝑘	𝑔(𝑘	PROPN
easat-7172	196	3	,	,	PUNCT
easat-7172	196	4	𝑝1(𝛼	𝑝1(𝛼	PROPN
easat-7172	196	5	)	)	PUNCT
easat-7172	196	6	,	,	PUNCT
easat-7172	196	7	𝑡	𝑡	PROPN
easat-7172	196	8	)	)	PUNCT
easat-7172	196	9	,	,	PUNCT
easat-7172	196	10	𝑔(𝑘	𝑔(𝑘	PROPN
easat-7172	196	11	,	,	PUNCT
easat-7172	196	12	𝑝2(𝛼	𝑝2(𝛼	PROPN
easat-7172	196	13	)	)	PUNCT
easat-7172	196	14	,	,	PUNCT
easat-7172	196	15	𝑡	𝑡	PROPN
easat-7172	196	16	)	)	PUNCT
easat-7172	196	17	]	]	PUNCT
easat-7172	197	1	𝑔(𝑘	𝑔(𝑘	PROPN
easat-7172	197	2	,	,	PUNCT
easat-7172	197	3	𝑦0	𝑦0	NOUN
easat-7172	197	4	,	,	PUNCT
easat-7172	197	5	𝑡)|𝛽	𝑡)|𝛽	NOUN
easat-7172	197	6	=	=	SYM
easat-7172	198	1	[	[	X
easat-7172	198	2	𝑔(𝑘	𝑔(𝑘	PROPN
easat-7172	198	3	,	,	PUNCT
easat-7172	198	4	𝑞1(𝛽	𝑞1(𝛽	PROPN
easat-7172	198	5	)	)	PUNCT
easat-7172	198	6	,	,	PUNCT
easat-7172	198	7	𝑡	𝑡	PROPN
easat-7172	198	8	)	)	PUNCT
easat-7172	198	9	,	,	PUNCT
easat-7172	198	10	𝑔(𝑘	𝑔(𝑘	PROPN
easat-7172	198	11	,	,	PUNCT
easat-7172	198	12	𝑞2(𝛽	𝑞2(𝛽	NUM
easat-7172	198	13	)	)	PUNCT
easat-7172	198	14	,	,	PUNCT
easat-7172	198	15	𝑡	𝑡	PROPN
easat-7172	198	16	)	)	PUNCT
easat-7172	198	17	]	]	PUNCT
easat-7172	199	1	𝑔(𝑘	𝑔(𝑘	PROPN
easat-7172	199	2	,	,	PUNCT
easat-7172	199	3	𝑦0	𝑦0	NOUN
easat-7172	199	4	,	,	PUNCT
easat-7172	199	5	𝑡)|𝛾	𝑡)|𝛾	NOUN
easat-7172	199	6	=	=	X
easat-7172	200	1	[	[	X
easat-7172	200	2	𝑔(𝑘	𝑔(𝑘	PROPN
easat-7172	200	3	,	,	PUNCT
easat-7172	200	4	𝑟1(𝛾	𝑟1(𝛾	NUM
easat-7172	200	5	)	)	PUNCT
easat-7172	200	6	,	,	PUNCT
easat-7172	200	7	𝑡	𝑡	PROPN
easat-7172	200	8	)	)	PUNCT
easat-7172	200	9	,	,	PUNCT
easat-7172	200	10	𝑔(𝑘	𝑔(𝑘	PROPN
easat-7172	200	11	,	,	PUNCT
easat-7172	200	12	𝑟2(𝛾	𝑟2(𝛾	NUM
easat-7172	200	13	)	)	PUNCT
easat-7172	200	14	,	,	PUNCT
easat-7172	200	15	𝑡	𝑡	PROPN
easat-7172	200	16	)	)	PUNCT
easat-7172	200	17	]	]	PUNCT
easat-7172	200	18	(	(	PUNCT
easat-7172	200	19	6	6	NUM
easat-7172	200	20	)	)	PUNCT
easat-7172	200	21	and	and	CCONJ
easat-7172	200	22	another	another	DET
easat-7172	200	23	one	one	NOUN
easat-7172	200	24	is	be	AUX
easat-7172	200	25	case	case	NOUN
easat-7172	200	26	2	2	NUM
easat-7172	200	27	:	:	PUNCT
easat-7172	200	28	𝑔(𝑘	𝑔(𝑘	PROPN
easat-7172	200	29	,	,	PUNCT
easat-7172	200	30	𝑡	𝑡	PROPN
easat-7172	200	31	)	)	PUNCT
easat-7172	200	32	is	be	AUX
easat-7172	200	33	decreasing	decrease	VERB
easat-7172	200	34	with	with	ADP
easat-7172	200	35	respect	respect	NOUN
easat-7172	200	36	to	to	ADP
easat-7172	200	37	𝑦0	𝑦0	NOUN
easat-7172	200	38	then	then	ADV
easat-7172	200	39	by	by	ADP
easat-7172	200	40	zade	zade	PROPN
easat-7172	200	41	’s	’s	PART
easat-7172	200	42	extension	extension	NOUN
easat-7172	200	43	principle	principle	NOUN
easat-7172	200	44	the	the	DET
easat-7172	200	45	solutions	solution	NOUN
easat-7172	200	46	are	be	AUX
easat-7172	200	47	written	write	VERB
easat-7172	200	48	as	as	SCONJ
easat-7172	200	49	follows	follow	VERB
easat-7172	200	50	(	(	PUNCT
easat-7172	200	51	�	�	PROPN
easat-7172	200	52	̃	̃	NOUN
easat-7172	200	53	�	�	PROPN
easat-7172	200	54	(𝑡))𝛼,𝛽,𝛾	(𝑡))𝛼,𝛽,𝛾	NUM
easat-7172	200	55	=	=	SYM
easat-7172	200	56	{	{	PUNCT
easat-7172	200	57	𝑔(𝑘	𝑔(𝑘	PROPN
easat-7172	200	58	,	,	PUNCT
easat-7172	200	59	𝑦0	𝑦0	NOUN
easat-7172	200	60	,	,	PUNCT
easat-7172	200	61	𝑡)|𝛼	𝑡)|𝛼	PROPN
easat-7172	200	62	;	;	PUNCT
easat-7172	200	63	𝑔(𝑘	𝑔(𝑘	PROPN
easat-7172	200	64	,	,	PUNCT
easat-7172	200	65	𝑦0	𝑦0	NOUN
easat-7172	200	66	,	,	PUNCT
easat-7172	200	67	𝑡)|𝛽	𝑡)|𝛽	NUM
easat-7172	200	68	;	;	PUNCT
easat-7172	200	69	𝑔(𝑘	𝑔(𝑘	PROPN
easat-7172	200	70	,	,	PUNCT
easat-7172	200	71	𝑦0	𝑦0	NOUN
easat-7172	200	72	,	,	PUNCT
easat-7172	200	73	𝑡)|𝛾	𝑡)|𝛾	ADJ
easat-7172	200	74	}	}	PUNCT
easat-7172	200	75	(	(	PUNCT
easat-7172	200	76	7	7	NUM
easat-7172	200	77	)	)	PUNCT
easat-7172	200	78	where	where	SCONJ
easat-7172	200	79	{	{	PUNCT
easat-7172	200	80	𝑔(𝑘	𝑔(𝑘	PROPN
easat-7172	200	81	,	,	PUNCT
easat-7172	200	82	𝑦0	𝑦0	NOUN
easat-7172	200	83	,	,	PUNCT
easat-7172	200	84	𝑡)|𝛼	𝑡)|𝛼	X
easat-7172	200	85	=	=	PUNCT
easat-7172	201	1	[	[	X
easat-7172	201	2	𝑔(𝑘	𝑔(𝑘	PROPN
easat-7172	201	3	,	,	PUNCT
easat-7172	201	4	𝑝2(𝛼	𝑝2(𝛼	PROPN
easat-7172	201	5	)	)	PUNCT
easat-7172	201	6	,	,	PUNCT
easat-7172	201	7	𝑡	𝑡	PROPN
easat-7172	201	8	)	)	PUNCT
easat-7172	201	9	,	,	PUNCT
easat-7172	201	10	𝑔(𝑘	𝑔(𝑘	PROPN
easat-7172	201	11	,	,	PUNCT
easat-7172	201	12	𝑝1(𝛼	𝑝1(𝛼	PROPN
easat-7172	201	13	)	)	PUNCT
easat-7172	201	14	,	,	PUNCT
easat-7172	201	15	𝑡	𝑡	PROPN
easat-7172	201	16	)	)	PUNCT
easat-7172	201	17	]	]	PUNCT
easat-7172	202	1	𝑔(𝑘	𝑔(𝑘	PROPN
easat-7172	202	2	,	,	PUNCT
easat-7172	202	3	𝑦0	𝑦0	NOUN
easat-7172	202	4	,	,	PUNCT
easat-7172	202	5	𝑡)|𝛽	𝑡)|𝛽	NOUN
easat-7172	202	6	=	=	SYM
easat-7172	203	1	[	[	X
easat-7172	203	2	𝑔(𝑘	𝑔(𝑘	PROPN
easat-7172	203	3	,	,	PUNCT
easat-7172	203	4	𝑞2(𝛽	𝑞2(𝛽	NUM
easat-7172	203	5	)	)	PUNCT
easat-7172	203	6	,	,	PUNCT
easat-7172	203	7	𝑡	𝑡	PROPN
easat-7172	203	8	)	)	PUNCT
easat-7172	203	9	,	,	PUNCT
easat-7172	203	10	𝑔(𝑘	𝑔(𝑘	PROPN
easat-7172	203	11	,	,	PUNCT
easat-7172	203	12	𝑞1(𝛽	𝑞1(𝛽	PROPN
easat-7172	203	13	)	)	PUNCT
easat-7172	203	14	,	,	PUNCT
easat-7172	203	15	𝑡	𝑡	PROPN
easat-7172	203	16	)	)	PUNCT
easat-7172	203	17	]	]	PUNCT
easat-7172	204	1	𝑔(𝑘	𝑔(𝑘	PROPN
easat-7172	204	2	,	,	PUNCT
easat-7172	204	3	𝑦0	𝑦0	NOUN
easat-7172	204	4	,	,	PUNCT
easat-7172	204	5	𝑡)|𝛾	𝑡)|𝛾	NOUN
easat-7172	204	6	=	=	X
easat-7172	205	1	[	[	X
easat-7172	205	2	𝑔(𝑘	𝑔(𝑘	PROPN
easat-7172	205	3	,	,	PUNCT
easat-7172	205	4	𝑟2(𝛾	𝑟2(𝛾	NUM
easat-7172	205	5	)	)	PUNCT
easat-7172	205	6	,	,	PUNCT
easat-7172	205	7	𝑡	𝑡	PROPN
easat-7172	205	8	)	)	PUNCT
easat-7172	205	9	,	,	PUNCT
easat-7172	205	10	𝑔(𝑘	𝑔(𝑘	PROPN
easat-7172	205	11	,	,	PUNCT
easat-7172	205	12	𝑟1(𝛾	𝑟1(𝛾	NUM
easat-7172	205	13	)	)	PUNCT
easat-7172	205	14	,	,	PUNCT
easat-7172	205	15	𝑡	𝑡	PROPN
easat-7172	205	16	)	)	PUNCT
easat-7172	205	17	]	]	PUNCT
easat-7172	205	18	(	(	PUNCT
easat-7172	205	19	8)	8)	NUM
easat-7172	205	20	note	note	NOUN
easat-7172	205	21	2	2	NUM
easat-7172	205	22	:	:	PUNCT
easat-7172	205	23	same	same	ADJ
easat-7172	205	24	concept	concept	NOUN
easat-7172	205	25	is	be	AUX
easat-7172	205	26	applicable	applicable	ADJ
easat-7172	205	27	if	if	SCONJ
easat-7172	205	28	only	only	ADV
easat-7172	205	29	coefficient	coefficient	NOUN
easat-7172	205	30	𝑘	𝑘	PRON
easat-7172	205	31	is	be	AUX
easat-7172	205	32	neutrosophic	neutrosophic	ADJ
easat-7172	205	33	number	number	NOUN
easat-7172	205	34	.	.	PUNCT
easat-7172	206	1	note	note	VERB
easat-7172	206	2	3	3	NUM
easat-7172	206	3	:	:	SYM
easat-7172	206	4	four	four	NUM
easat-7172	206	5	cases	case	NOUN
easat-7172	206	6	happen	happen	VERB
easat-7172	206	7	if	if	SCONJ
easat-7172	206	8	k	k	PROPN
easat-7172	206	9	and	and	CCONJ
easat-7172	206	10	𝑦0	𝑦0	PRON
easat-7172	206	11	both	both	PRON
easat-7172	206	12	are	be	AUX
easat-7172	206	13	neutrosophic	neutrosophic	ADJ
easat-7172	206	14	valued	value	VERB
easat-7172	206	15	,	,	PUNCT
easat-7172	206	16	and	and	CCONJ
easat-7172	206	17	the	the	DET
easat-7172	206	18	cases	case	NOUN
easat-7172	206	19	are	be	AUX
easat-7172	206	20	as	as	SCONJ
easat-7172	206	21	follows	follow	VERB
easat-7172	206	22	:	:	PUNCT
easat-7172	206	23	case	case	NOUN
easat-7172	206	24	1	1	NUM
easat-7172	206	25	:	:	PUNCT
easat-7172	206	26	𝑔(𝑘	𝑔(𝑘	PROPN
easat-7172	206	27	,	,	PUNCT
easat-7172	206	28	𝑡	𝑡	PROPN
easat-7172	206	29	)	)	PUNCT
easat-7172	206	30	is	be	AUX
easat-7172	206	31	increasing	increase	VERB
easat-7172	206	32	with	with	ADP
easat-7172	206	33	respect	respect	NOUN
easat-7172	206	34	to	to	ADP
easat-7172	206	35	k	k	PROPN
easat-7172	206	36	and	and	CCONJ
easat-7172	206	37	𝑦0	𝑦0	PRON
easat-7172	206	38	both	both	DET
easat-7172	206	39	case	case	NOUN
easat-7172	206	40	2	2	NUM
easat-7172	206	41	:	:	PUNCT
easat-7172	206	42	𝑔(𝑘	𝑔(𝑘	PROPN
easat-7172	206	43	,	,	PUNCT
easat-7172	206	44	𝑡	𝑡	PROPN
easat-7172	206	45	)	)	PUNCT
easat-7172	206	46	is	be	AUX
easat-7172	206	47	increasing	increase	VERB
easat-7172	206	48	with	with	ADP
easat-7172	206	49	respect	respect	NOUN
easat-7172	206	50	to	to	ADP
easat-7172	206	51	k	k	NOUN
easat-7172	206	52	but	but	CCONJ
easat-7172	206	53	decreasing	decrease	VERB
easat-7172	206	54	with	with	ADP
easat-7172	206	55	respect	respect	NOUN
easat-7172	206	56	to	to	ADP
easat-7172	206	57	𝑦0	𝑦0	NOUN
easat-7172	206	58	case	case	NOUN
easat-7172	206	59	3	3	NUM
easat-7172	206	60	:	:	PUNCT
easat-7172	206	61	𝑔(𝑘	𝑔(𝑘	PROPN
easat-7172	206	62	,	,	PUNCT
easat-7172	206	63	𝑡	𝑡	PROPN
easat-7172	206	64	)	)	PUNCT
easat-7172	206	65	is	be	AUX
easat-7172	206	66	decreasing	decrease	VERB
easat-7172	206	67	with	with	ADP
easat-7172	206	68	respect	respect	NOUN
easat-7172	206	69	to	to	ADP
easat-7172	206	70	k	k	PROPN
easat-7172	206	71	and	and	CCONJ
easat-7172	206	72	increasing	increase	VERB
easat-7172	206	73	with	with	ADP
easat-7172	206	74	respect	respect	NOUN
easat-7172	206	75	to	to	ADP
easat-7172	206	76	𝑦0	𝑦0	NOUN
easat-7172	206	77	1401	1401	NUM
easat-7172	206	78	edelweiss	edelweiss	PROPN
easat-7172	206	79	applied	apply	VERB
easat-7172	206	80	science	science	NOUN
easat-7172	206	81	and	and	CCONJ
easat-7172	206	82	technology	technology	NOUN
easat-7172	206	83	issn	issn	PROPN
easat-7172	206	84	:	:	PUNCT
easat-7172	206	85	2576	2576	NUM
easat-7172	206	86	-	-	SYM
easat-7172	206	87	8484	8484	NUM
easat-7172	206	88	vol	vol	NOUN
easat-7172	206	89	.	.	PROPN
easat-7172	207	1	9	9	NUM
easat-7172	207	2	,	,	PUNCT
easat-7172	207	3	no	no	INTJ
easat-7172	207	4	.	.	NOUN
easat-7172	207	5	5	5	NUM
easat-7172	207	6	:	:	SYM
easat-7172	207	7	1393	1393	NUM
easat-7172	207	8	-	-	SYM
easat-7172	207	9	1405	1405	NUM
easat-7172	207	10	,	,	PUNCT
easat-7172	207	11	2025	2025	NUM
easat-7172	207	12	doi	doi	NOUN
easat-7172	207	13	:	:	PUNCT
easat-7172	207	14	10.55214/25768484.v9i5.7172	10.55214/25768484.v9i5.7172	NUM
easat-7172	207	15	©	©	PROPN
easat-7172	207	16	2025	2025	NUM
easat-7172	207	17	by	by	ADP
easat-7172	207	18	the	the	DET
easat-7172	207	19	author	author	NOUN
easat-7172	207	20	;	;	PUNCT
easat-7172	207	21	licensee	licensee	PROPN
easat-7172	207	22	learning	learning	NOUN
easat-7172	207	23	gate	gate	NOUN
easat-7172	207	24	case	case	NOUN
easat-7172	207	25	4	4	NUM
easat-7172	207	26	:	:	PUNCT
easat-7172	207	27	𝑔(𝑘	𝑔(𝑘	PROPN
easat-7172	207	28	,	,	PUNCT
easat-7172	207	29	𝑡	𝑡	PROPN
easat-7172	207	30	)	)	PUNCT
easat-7172	207	31	is	be	AUX
easat-7172	207	32	decreasing	decrease	VERB
easat-7172	207	33	with	with	ADP
easat-7172	207	34	respect	respect	NOUN
easat-7172	207	35	to	to	ADP
easat-7172	207	36	k	k	NOUN
easat-7172	207	37	and	and	CCONJ
easat-7172	207	38	𝑦0	𝑦0	PRON
easat-7172	207	39	both	both	CCONJ
easat-7172	207	40	it	it	PRON
easat-7172	207	41	should	should	AUX
easat-7172	207	42	be	be	AUX
easat-7172	207	43	noted	note	VERB
easat-7172	207	44	that	that	SCONJ
easat-7172	207	45	every	every	DET
easat-7172	207	46	time	time	NOUN
easat-7172	207	47	the	the	DET
easat-7172	207	48	result	result	NOUN
easat-7172	207	49	should	should	AUX
easat-7172	207	50	be	be	AUX
easat-7172	207	51	checked	check	VERB
easat-7172	207	52	whether	whether	SCONJ
easat-7172	207	53	it	it	PRON
easat-7172	207	54	is	be	AUX
easat-7172	207	55	obeying	obey	VERB
easat-7172	207	56	the	the	DET
easat-7172	207	57	neutrosophic	neutrosophic	ADJ
easat-7172	207	58	rules	rule	NOUN
easat-7172	207	59	or	or	CCONJ
easat-7172	207	60	not	not	PART
easat-7172	207	61	.	.	PUNCT
easat-7172	208	1	6	6	X
easat-7172	208	2	.	.	X
easat-7172	208	3	numerical	numerical	PROPN
easat-7172	208	4	illustrations	illustrations	PROPN
easat-7172	208	5	example	example	NOUN
easat-7172	208	6	1	1	NUM
easat-7172	208	7	:	:	PUNCT
easat-7172	208	8	consider	consider	VERB
easat-7172	208	9	the	the	DET
easat-7172	208	10	fractional	fractional	ADJ
easat-7172	208	11	differential	differential	ADJ
easat-7172	208	12	equation	equation	NOUN
easat-7172	208	13	with	with	ADP
easat-7172	208	14	neutrosophic	neutrosophic	ADJ
easat-7172	208	15	initial	initial	ADJ
easat-7172	208	16	value	value	NOUN
easat-7172	208	17	{	{	PUNCT
easat-7172	208	18	𝐷𝑏	𝐷𝑏	PROPN
easat-7172	208	19	𝜌𝑐	𝜌𝑐	NOUN
easat-7172	208	20	ω̃(𝑡	ω̃(𝑡	PROPN
easat-7172	208	21	)	)	PUNCT
easat-7172	208	22	=	=	SYM
easat-7172	208	23	�	�	PROPN
easat-7172	208	24	̃	̃	PROPN
easat-7172	208	25	�	�	PROPN
easat-7172	208	26	(𝑡	(𝑡	NOUN
easat-7172	208	27	)	)	PUNCT
easat-7172	208	28	ω̃0	ω̃0	PROPN
easat-7172	208	29	=	=	SYM
easat-7172	208	30	(	(	PUNCT
easat-7172	208	31	8,12,16	8,12,16	NUM
easat-7172	208	32	;	;	PUNCT
easat-7172	208	33	10	10	NUM
easat-7172	208	34	,	,	PUNCT
easat-7172	208	35	12,14	12,14	ADV
easat-7172	208	36	;	;	PUNCT
easat-7172	208	37	11	11	NUM
easat-7172	208	38	,	,	PUNCT
easat-7172	208	39	12	12	NUM
easat-7172	208	40	,	,	PUNCT
easat-7172	208	41	15	15	NUM
easat-7172	208	42	)	)	PUNCT
easat-7172	208	43	solution	solution	NOUN
easat-7172	208	44	:	:	PUNCT
easat-7172	208	45	the	the	DET
easat-7172	208	46	solution	solution	NOUN
easat-7172	208	47	associated	associate	VERB
easat-7172	208	48	with	with	ADP
easat-7172	208	49	crisp	crisp	ADJ
easat-7172	208	50	fractional	fractional	ADJ
easat-7172	208	51	differential	differential	NOUN
easat-7172	208	52	equation	equation	NOUN
easat-7172	208	53	is	be	AUX
easat-7172	208	54	ω(𝑡	ω(𝑡	X
easat-7172	208	55	)	)	PUNCT
easat-7172	208	56	=	=	SYM
easat-7172	208	57	ω0𝐸𝜌(𝑡	ω0𝐸𝜌(𝑡	PROPN
easat-7172	208	58	𝜌	𝜌	X
easat-7172	208	59	)	)	PUNCT
easat-7172	208	60	=	=	PUNCT
easat-7172	208	61	ω0	ω0	NOUN
easat-7172	208	62	(	(	PUNCT
easat-7172	208	63	1	1	NUM
easat-7172	208	64	+	+	NUM
easat-7172	208	65	𝑡𝜌	𝑡𝜌	PRON
easat-7172	208	66	γ(ρ+1	γ(ρ+1	NUM
easat-7172	208	67	)	)	PUNCT
easat-7172	209	1	+	+	CCONJ
easat-7172	209	2	𝑡2𝜌	𝑡2𝜌	VERB
easat-7172	209	3	γ(2ρ+1	γ(2ρ+1	X
easat-7172	209	4	)	)	PUNCT
easat-7172	209	5	)	)	PUNCT
easat-7172	210	1	(	(	PUNCT
easat-7172	210	2	we	we	PRON
easat-7172	210	3	take	take	VERB
easat-7172	210	4	the	the	DET
easat-7172	210	5	approximated	approximate	VERB
easat-7172	210	6	form	form	NOUN
easat-7172	210	7	of	of	ADP
easat-7172	210	8	mitag	mitag	ADJ
easat-7172	210	9	-	-	PUNCT
easat-7172	210	10	lafler	lafler	NOUN
easat-7172	210	11	function	function	NOUN
easat-7172	210	12	up	up	ADP
easat-7172	210	13	to	to	ADP
easat-7172	210	14	third	third	ADJ
easat-7172	210	15	term	term	NOUN
easat-7172	210	16	)	)	PUNCT
easat-7172	210	17	.	.	PUNCT
easat-7172	211	1	now	now	ADV
easat-7172	211	2	𝑑ω(𝑡	𝑑ω(𝑡	NOUN
easat-7172	211	3	)	)	PUNCT
easat-7172	211	4	𝑑𝑡	𝑑𝑡	ADP
easat-7172	211	5	=	=	PROPN
easat-7172	211	6	ω0	ω0	PROPN
easat-7172	211	7	(	(	PUNCT
easat-7172	211	8	1	1	NUM
easat-7172	211	9	+	+	NUM
easat-7172	211	10	𝑡𝜌	𝑡𝜌	PRON
easat-7172	211	11	γ(ρ+1	γ(ρ+1	NUM
easat-7172	211	12	)	)	PUNCT
easat-7172	212	1	+	+	CCONJ
easat-7172	212	2	𝑡2𝜌	𝑡2𝜌	VERB
easat-7172	212	3	γ(2ρ+1	γ(2ρ+1	X
easat-7172	212	4	)	)	PUNCT
easat-7172	212	5	)	)	PUNCT
easat-7172	213	1	>	>	X
easat-7172	213	2	0	0	NUM
easat-7172	213	3	,	,	PUNCT
easat-7172	213	4	it	it	PRON
easat-7172	213	5	shows	show	VERB
easat-7172	213	6	that	that	SCONJ
easat-7172	213	7	the	the	DET
easat-7172	213	8	function	function	NOUN
easat-7172	213	9	ω(𝑡	ω(𝑡	NUM
easat-7172	213	10	)	)	PUNCT
easat-7172	213	11	is	be	AUX
easat-7172	213	12	an	an	DET
easat-7172	213	13	increasing	increase	VERB
easat-7172	213	14	function	function	NOUN
easat-7172	213	15	with	with	ADP
easat-7172	213	16	respect	respect	NOUN
easat-7172	213	17	to	to	PART
easat-7172	213	18	𝑡.	𝑡.	VERB
easat-7172	213	19	now	now	ADV
easat-7172	213	20	the	the	DET
easat-7172	213	21	(	(	PUNCT
easat-7172	213	22	𝛼	𝛼	PROPN
easat-7172	213	23	,	,	PUNCT
easat-7172	213	24	𝛽	𝛽	NOUN
easat-7172	213	25	,	,	PUNCT
easat-7172	213	26	𝛾)-cut	𝛾)-cut	NOUN
easat-7172	213	27	of	of	ADP
easat-7172	213	28	the	the	DET
easat-7172	213	29	initial	initial	ADJ
easat-7172	213	30	value	value	NOUN
easat-7172	213	31	of	of	ADP
easat-7172	213	32	�	�	PROPN
easat-7172	213	33	̃	̃	PROPN
easat-7172	213	34	�	�	NOUN
easat-7172	213	35	0	0	NUM
easat-7172	213	36	is	be	AUX
easat-7172	213	37	(	(	PUNCT
easat-7172	213	38	ω̃0)𝛼,𝛽,𝛾	ω̃0)𝛼,𝛽,𝛾	ADJ
easat-7172	213	39	=	=	PUNCT
easat-7172	213	40	{	{	PUNCT
easat-7172	214	1	[	[	X
easat-7172	214	2	8	8	NUM
easat-7172	214	3	+	+	NUM
easat-7172	214	4	4𝛼	4𝛼	NOUN
easat-7172	214	5	,	,	PUNCT
easat-7172	214	6	16	16	NUM
easat-7172	214	7	−	−	PROPN
easat-7172	214	8	4𝛼	4𝛼	NOUN
easat-7172	214	9	]	]	X
easat-7172	214	10	;	;	PUNCT
easat-7172	214	11	[	[	X
easat-7172	214	12	12	12	NUM
easat-7172	214	13	−	−	NOUN
easat-7172	214	14	2𝛽	2𝛽	NOUN
easat-7172	214	15	,	,	PUNCT
easat-7172	214	16	12	12	NUM
easat-7172	214	17	+	+	NUM
easat-7172	214	18	2𝛽	2𝛽	NOUN
easat-7172	214	19	]	]	X
easat-7172	214	20	;	;	PUNCT
easat-7172	215	1	[	[	X
easat-7172	215	2	12	12	NUM
easat-7172	215	3	−	−	PROPN
easat-7172	215	4	𝛽	𝛽	NOUN
easat-7172	215	5	,	,	PUNCT
easat-7172	215	6	12	12	NUM
easat-7172	215	7	+	+	SYM
easat-7172	215	8	𝛽	𝛽	NOUN
easat-7172	215	9	]	]	PUNCT
easat-7172	215	10	}	}	PUNCT
easat-7172	215	11	using	use	VERB
easat-7172	215	12	equation	equation	NOUN
easat-7172	215	13	(	(	PUNCT
easat-7172	215	14	5	5	NUM
easat-7172	215	15	)	)	PUNCT
easat-7172	215	16	in	in	ADP
easat-7172	215	17	section	section	NOUN
easat-7172	215	18	5	5	NUM
easat-7172	215	19	,	,	PUNCT
easat-7172	215	20	we	we	PRON
easat-7172	215	21	get	get	VERB
easat-7172	215	22	the	the	DET
easat-7172	215	23	neutrosophic	neutrosophic	ADJ
easat-7172	215	24	solution	solution	NOUN
easat-7172	215	25	(	(	PUNCT
easat-7172	215	26	ω̃(𝑡	ω̃(𝑡	PROPN
easat-7172	215	27	)	)	PUNCT
easat-7172	215	28	)	)	PUNCT
easat-7172	216	1	𝛼,𝛽,𝛾	𝛼,𝛽,𝛾	PROPN
easat-7172	216	2	=	=	PUNCT
easat-7172	216	3	{	{	PUNCT
easat-7172	216	4	[	[	X
easat-7172	216	5	ω𝛼	ω𝛼	INTJ
easat-7172	216	6	𝐿	𝐿	PROPN
easat-7172	216	7	(	(	PUNCT
easat-7172	216	8	𝑡	𝑡	PROPN
easat-7172	216	9	)	)	PUNCT
easat-7172	216	10	,	,	PUNCT
easat-7172	216	11	ω𝛼	ω𝛼	ADP
easat-7172	216	12	𝑅(𝑡	𝑅(𝑡	NOUN
easat-7172	216	13	)	)	PUNCT
easat-7172	216	14	]	]	PUNCT
easat-7172	216	15	;	;	PUNCT
easat-7172	216	16	[	[	X
easat-7172	216	17	ω𝛽	ω𝛽	X
easat-7172	216	18	𝐿(𝑡	𝐿(𝑡	NOUN
easat-7172	216	19	)	)	PUNCT
easat-7172	216	20	,	,	PUNCT
easat-7172	216	21	ω𝛽	ω𝛽	INTJ
easat-7172	216	22	𝑅(𝑡	𝑅(𝑡	NOUN
easat-7172	216	23	)	)	PUNCT
easat-7172	216	24	]	]	PUNCT
easat-7172	216	25	;	;	PUNCT
easat-7172	217	1	[	[	X
easat-7172	217	2	ω𝛾	ω𝛾	ADP
easat-7172	217	3	𝐿(𝑡	𝐿(𝑡	NOUN
easat-7172	217	4	)	)	PUNCT
easat-7172	217	5	,	,	PUNCT
easat-7172	217	6	ω𝛾	ω𝛾	ADP
easat-7172	217	7	𝑅(𝑡	𝑅(𝑡	NOUN
easat-7172	217	8	)	)	PUNCT
easat-7172	217	9	]	]	PUNCT
easat-7172	217	10	}	}	PUNCT
easat-7172	217	11	=	=	SYM
easat-7172	217	12	{	{	PUNCT
easat-7172	217	13	[	[	X
easat-7172	217	14	(	(	PUNCT
easat-7172	217	15	8	8	NUM
easat-7172	217	16	+	+	SYM
easat-7172	217	17	4𝛼)(1	4𝛼)(1	NUM
easat-7172	217	18	+	+	CCONJ
easat-7172	217	19	𝑡𝜌	𝑡𝜌	PROPN
easat-7172	217	20	γ(ρ	γ(ρ	PROPN
easat-7172	217	21	+	+	CCONJ
easat-7172	217	22	1	1	X
easat-7172	217	23	)	)	PUNCT
easat-7172	217	24	+	+	CCONJ
easat-7172	217	25	𝑡2𝜌	𝑡2𝜌	ADJ
easat-7172	217	26	γ(2ρ	γ(2ρ	PUNCT
easat-7172	217	27	+	+	NOUN
easat-7172	217	28	1	1	NUM
easat-7172	217	29	)	)	PUNCT
easat-7172	217	30	)	)	PUNCT
easat-7172	217	31	,	,	PUNCT
easat-7172	217	32	(	(	PUNCT
easat-7172	217	33	16	16	NUM
easat-7172	217	34	−	−	NOUN
easat-7172	217	35	4𝛼)(1	4𝛼)(1	NUM
easat-7172	217	36	+	+	CCONJ
easat-7172	217	37	𝑡𝜌	𝑡𝜌	PROPN
easat-7172	217	38	γ(ρ	γ(ρ	PROPN
easat-7172	217	39	+	+	CCONJ
easat-7172	217	40	1	1	X
easat-7172	217	41	)	)	PUNCT
easat-7172	217	42	+	+	CCONJ
easat-7172	217	43	𝑡2𝜌	𝑡2𝜌	ADJ
easat-7172	217	44	γ(2ρ	γ(2ρ	PUNCT
easat-7172	217	45	+	+	NOUN
easat-7172	217	46	1	1	NUM
easat-7172	217	47	)	)	PUNCT
easat-7172	217	48	)	)	PUNCT
easat-7172	217	49	]	]	PUNCT
easat-7172	217	50	;	;	PUNCT
easat-7172	218	1	[	[	X
easat-7172	218	2	(	(	PUNCT
easat-7172	218	3	12	12	NUM
easat-7172	218	4	−	−	NOUN
easat-7172	218	5	2𝛽)(1	2𝛽)(1	NUM
easat-7172	218	6	+	+	CCONJ
easat-7172	218	7	𝑡𝜌	𝑡𝜌	PROPN
easat-7172	218	8	γ(ρ	γ(ρ	PROPN
easat-7172	218	9	+	+	CCONJ
easat-7172	218	10	1	1	X
easat-7172	218	11	)	)	PUNCT
easat-7172	218	12	+	+	CCONJ
easat-7172	218	13	𝑡2𝜌	𝑡2𝜌	ADJ
easat-7172	218	14	γ(2ρ	γ(2ρ	PUNCT
easat-7172	218	15	+	+	NOUN
easat-7172	218	16	1	1	NUM
easat-7172	218	17	)	)	PUNCT
easat-7172	218	18	)	)	PUNCT
easat-7172	218	19	,	,	PUNCT
easat-7172	218	20	(	(	PUNCT
easat-7172	218	21	12	12	NUM
easat-7172	218	22	+	+	SYM
easat-7172	218	23	2𝛽)(1	2𝛽)(1	NUM
easat-7172	218	24	+	+	CCONJ
easat-7172	218	25	𝑡𝜌	𝑡𝜌	PROPN
easat-7172	218	26	γ(ρ	γ(ρ	PROPN
easat-7172	218	27	+	+	CCONJ
easat-7172	218	28	1	1	X
easat-7172	218	29	)	)	PUNCT
easat-7172	218	30	+	+	CCONJ
easat-7172	218	31	𝑡2𝜌	𝑡2𝜌	ADJ
easat-7172	218	32	γ(2ρ	γ(2ρ	PUNCT
easat-7172	218	33	+	+	NOUN
easat-7172	218	34	1	1	NUM
easat-7172	218	35	)	)	PUNCT
easat-7172	218	36	)	)	PUNCT
easat-7172	218	37	]	]	PUNCT
easat-7172	218	38	;	;	PUNCT
easat-7172	218	39	[	[	X
easat-7172	218	40	(	(	PUNCT
easat-7172	218	41	12	12	NUM
easat-7172	218	42	−	−	NOUN
easat-7172	218	43	𝛾	𝛾	NOUN
easat-7172	218	44	)	)	PUNCT
easat-7172	218	45	(	(	PUNCT
easat-7172	218	46	1	1	NUM
easat-7172	218	47	+	+	CCONJ
easat-7172	218	48	𝑡𝜌	𝑡𝜌	ADP
easat-7172	218	49	γ(ρ	γ(ρ	PROPN
easat-7172	218	50	+	+	CCONJ
easat-7172	218	51	1	1	X
easat-7172	218	52	)	)	PUNCT
easat-7172	218	53	+	+	CCONJ
easat-7172	218	54	𝑡2𝜌	𝑡2𝜌	ADJ
easat-7172	218	55	γ(2ρ	γ(2ρ	PUNCT
easat-7172	218	56	+	+	NOUN
easat-7172	218	57	1	1	NUM
easat-7172	218	58	)	)	PUNCT
easat-7172	218	59	)	)	PUNCT
easat-7172	218	60	,	,	PUNCT
easat-7172	218	61	(	(	PUNCT
easat-7172	218	62	12	12	NUM
easat-7172	218	63	+	+	CCONJ
easat-7172	218	64	𝛾	𝛾	X
easat-7172	218	65	)	)	PUNCT
easat-7172	218	66	(	(	PUNCT
easat-7172	218	67	1	1	NUM
easat-7172	218	68	+	+	CCONJ
easat-7172	218	69	𝑡𝜌	𝑡𝜌	ADP
easat-7172	218	70	γ(ρ	γ(ρ	PROPN
easat-7172	218	71	+	+	CCONJ
easat-7172	218	72	1	1	X
easat-7172	218	73	)	)	PUNCT
easat-7172	218	74	+	+	CCONJ
easat-7172	218	75	𝑡2𝜌	𝑡2𝜌	ADJ
easat-7172	218	76	γ(2ρ	γ(2ρ	PUNCT
easat-7172	218	77	+	+	NOUN
easat-7172	218	78	1	1	NUM
easat-7172	218	79	)	)	PUNCT
easat-7172	218	80	)	)	PUNCT
easat-7172	218	81	]	]	PUNCT
easat-7172	218	82	}	}	PUNCT
easat-7172	218	83	now	now	ADV
easat-7172	218	84	the	the	DET
easat-7172	218	85	pictorial	pictorial	ADJ
easat-7172	218	86	representation	representation	NOUN
easat-7172	218	87	of	of	ADP
easat-7172	218	88	the	the	DET
easat-7172	218	89	solution	solution	NOUN
easat-7172	218	90	for	for	ADP
easat-7172	218	91	ρ	ρ	NOUN
easat-7172	218	92	=	=	SYM
easat-7172	218	93	0.75	0.75	NUM
easat-7172	218	94	and	and	CCONJ
easat-7172	218	95	𝑡	𝑡	PROPN
easat-7172	218	96	∈	∈	PROPN
easat-7172	218	97	[	[	X
easat-7172	218	98	0,100	0,100	NUM
easat-7172	218	99	]	]	PUNCT
easat-7172	218	100	is	be	AUX
easat-7172	218	101	as	as	SCONJ
easat-7172	218	102	follows	follow	VERB
easat-7172	218	103	:	:	PUNCT
easat-7172	218	104	figure	figure	NOUN
easat-7172	218	105	1	1	NUM
easat-7172	218	106	.	.	PUNCT
easat-7172	218	107	solution	solution	NOUN
easat-7172	218	108	for	for	ADP
easat-7172	218	109	ρ	ρ	NOUN
easat-7172	218	110	=	=	SYM
easat-7172	218	111	0.75	0.75	NUM
easat-7172	218	112	and	and	CCONJ
easat-7172	218	113	𝑡	𝑡	PROPN
easat-7172	218	114	∈	∈	PROPN
easat-7172	218	115	[	[	X
easat-7172	218	116	0,100	0,100	NUM
easat-7172	218	117	]	]	X
easat-7172	218	118	note	note	NOUN
easat-7172	218	119	:	:	PUNCT
easat-7172	218	120	clearly	clearly	ADV
easat-7172	218	121	,	,	PUNCT
easat-7172	218	122	we	we	PRON
easat-7172	218	123	that	that	SCONJ
easat-7172	218	124	the	the	DET
easat-7172	218	125	solution	solution	NOUN
easat-7172	218	126	obeys	obey	VERB
easat-7172	218	127	the	the	DET
easat-7172	218	128	conditions	condition	NOUN
easat-7172	218	129	1402	1402	NUM
easat-7172	218	130	edelweiss	edelweiss	PROPN
easat-7172	218	131	applied	apply	VERB
easat-7172	218	132	science	science	NOUN
easat-7172	218	133	and	and	CCONJ
easat-7172	218	134	technology	technology	NOUN
easat-7172	218	135	issn	issn	PROPN
easat-7172	218	136	:	:	PUNCT
easat-7172	218	137	2576	2576	NUM
easat-7172	218	138	-	-	SYM
easat-7172	218	139	8484	8484	NUM
easat-7172	218	140	vol	vol	NOUN
easat-7172	218	141	.	.	PROPN
easat-7172	219	1	9	9	NUM
easat-7172	219	2	,	,	PUNCT
easat-7172	219	3	no	no	INTJ
easat-7172	219	4	.	.	NOUN
easat-7172	219	5	5	5	NUM
easat-7172	219	6	:	:	SYM
easat-7172	219	7	1393	1393	NUM
easat-7172	219	8	-	-	SYM
easat-7172	219	9	1405	1405	NUM
easat-7172	219	10	,	,	PUNCT
easat-7172	219	11	2025	2025	NUM
easat-7172	219	12	doi	doi	NOUN
easat-7172	219	13	:	:	PUNCT
easat-7172	219	14	10.55214/25768484.v9i5.7172	10.55214/25768484.v9i5.7172	NUM
easat-7172	219	15	©	©	PROPN
easat-7172	219	16	2025	2025	NUM
easat-7172	219	17	by	by	ADP
easat-7172	219	18	the	the	DET
easat-7172	219	19	author	author	NOUN
easat-7172	219	20	;	;	PUNCT
easat-7172	219	21	licensee	licensee	PROPN
easat-7172	219	22	learning	learning	NOUN
easat-7172	219	23	gate	gate	NOUN
easat-7172	219	24	ω𝛼	ω𝛼	ADP
easat-7172	219	25	𝐿	𝐿	PROPN
easat-7172	219	26	(	(	PUNCT
easat-7172	219	27	𝑡	𝑡	NOUN
easat-7172	219	28	)	)	PUNCT
easat-7172	219	29	≤	≤	NOUN
easat-7172	219	30	ω𝛼	ω𝛼	ADP
easat-7172	219	31	𝑅(𝑡	𝑅(𝑡	NOUN
easat-7172	219	32	)	)	PUNCT
easat-7172	219	33	,	,	PUNCT
easat-7172	219	34	ω𝛽	ω𝛽	X
easat-7172	219	35	𝐿(𝑡	𝐿(𝑡	NOUN
easat-7172	219	36	)	)	PUNCT
easat-7172	219	37	≤	≤	NUM
easat-7172	219	38	ω𝛽	ω𝛽	SYM
easat-7172	219	39	𝑅(𝑡	𝑅(𝑡	NOUN
easat-7172	219	40	)	)	PUNCT
easat-7172	219	41	,	,	PUNCT
easat-7172	219	42	ω𝛾	ω𝛾	ADP
easat-7172	219	43	𝐿(𝑡	𝐿(𝑡	NOUN
easat-7172	219	44	)	)	PUNCT
easat-7172	219	45	≤	≤	NOUN
easat-7172	219	46	ω𝛾	ω𝛾	ADP
easat-7172	219	47	𝑅(𝑡	𝑅(𝑡	NOUN
easat-7172	219	48	)	)	PUNCT
easat-7172	219	49	for	for	ADP
easat-7172	219	50	particular	particular	ADJ
easat-7172	219	51	ρ	ρ	NOUN
easat-7172	219	52	=	=	SYM
easat-7172	219	53	0.75	0.75	NUM
easat-7172	219	54	and	and	CCONJ
easat-7172	219	55	𝑡	𝑡	PROPN
easat-7172	219	56	∈	∈	PROPN
easat-7172	220	1	[	[	X
easat-7172	220	2	0,100	0,100	NUM
easat-7172	220	3	]	]	PUNCT
easat-7172	220	4	,	,	PUNCT
easat-7172	220	5	𝛼	𝛼	X
easat-7172	220	6	,	,	PUNCT
easat-7172	220	7	𝛽	𝛽	NOUN
easat-7172	220	8	,	,	PUNCT
easat-7172	220	9	𝛾	𝛾	ADP
easat-7172	220	10	∈	∈	PROPN
easat-7172	221	1	[	[	X
easat-7172	221	2	0,1	0,1	NUM
easat-7172	221	3	]	]	PUNCT
easat-7172	221	4	,	,	PUNCT
easat-7172	221	5	therefore	therefore	ADV
easat-7172	221	6	it	it	PRON
easat-7172	221	7	also	also	ADV
easat-7172	221	8	is	be	AUX
easat-7172	221	9	a	a	DET
easat-7172	221	10	neutrosophic	neutrosophic	ADJ
easat-7172	221	11	solution	solution	NOUN
easat-7172	221	12	.	.	PUNCT
easat-7172	222	1	example	example	NOUN
easat-7172	222	2	2	2	NUM
easat-7172	222	3	:	:	PUNCT
easat-7172	222	4	consider	consider	VERB
easat-7172	222	5	the	the	DET
easat-7172	222	6	fractional	fractional	ADJ
easat-7172	222	7	differential	differential	ADJ
easat-7172	222	8	equation	equation	NOUN
easat-7172	222	9	with	with	ADP
easat-7172	222	10	neutrosophic	neutrosophic	ADJ
easat-7172	222	11	initial	initial	ADJ
easat-7172	222	12	value	value	NOUN
easat-7172	222	13	{	{	PUNCT
easat-7172	222	14	𝐷𝑏	𝐷𝑏	PROPN
easat-7172	222	15	𝜌𝑐	𝜌𝑐	NOUN
easat-7172	222	16	δ̃(𝑡	δ̃(𝑡	PROPN
easat-7172	222	17	)	)	PUNCT
easat-7172	222	18	=	=	SYM
easat-7172	222	19	−δ̃(𝑡	−δ̃(𝑡	PROPN
easat-7172	222	20	)	)	PUNCT
easat-7172	223	1	δ̃0	δ̃0	ADP
easat-7172	223	2	=	=	SYM
easat-7172	223	3	(	(	PUNCT
easat-7172	223	4	30,50,70	30,50,70	NOUN
easat-7172	223	5	;	;	PUNCT
easat-7172	223	6	40	40	NUM
easat-7172	223	7	,	,	PUNCT
easat-7172	223	8	50,60	50,60	NOUN
easat-7172	223	9	;	;	PUNCT
easat-7172	223	10	45,50,55	45,50,55	NUM
easat-7172	223	11	)	)	PUNCT
easat-7172	223	12	solution	solution	NOUN
easat-7172	223	13	:	:	PUNCT
easat-7172	223	14	the	the	DET
easat-7172	223	15	crisp	crisp	ADJ
easat-7172	223	16	solution	solution	NOUN
easat-7172	223	17	is	be	AUX
easat-7172	223	18	δ(𝑡	δ(𝑡	PROPN
easat-7172	223	19	)	)	PUNCT
easat-7172	223	20	=	=	SYM
easat-7172	223	21	δ0𝐸𝜌(−𝑡	δ0𝐸𝜌(−𝑡	ADJ
easat-7172	223	22	𝜌	𝜌	ADP
easat-7172	223	23	)	)	PUNCT
easat-7172	223	24	=	=	SYM
easat-7172	223	25	δ0	δ0	NOUN
easat-7172	223	26	(	(	PUNCT
easat-7172	223	27	−1	−1	NOUN
easat-7172	223	28	−	−	NOUN
easat-7172	223	29	𝑡𝜌	𝑡𝜌	ADP
easat-7172	223	30	γ(ρ+1	γ(ρ+1	NUM
easat-7172	223	31	)	)	PUNCT
easat-7172	223	32	−	−	PROPN
easat-7172	223	33	𝑡2𝜌	𝑡2𝜌	PROPN
easat-7172	223	34	γ(2ρ+1	γ(2ρ+1	PROPN
easat-7172	223	35	)	)	PUNCT
easat-7172	223	36	)	)	PUNCT
easat-7172	223	37	(	(	PUNCT
easat-7172	223	38	approximated	approximate	VERB
easat-7172	223	39	up	up	ADP
easat-7172	223	40	to	to	PART
easat-7172	223	41	third	third	ADJ
easat-7172	223	42	term	term	NOUN
easat-7172	223	43	)	)	PUNCT
easat-7172	223	44	.	.	PUNCT
easat-7172	224	1	now	now	ADV
easat-7172	224	2	𝑑δ(𝑡	𝑑δ(𝑡	PRON
easat-7172	224	3	)	)	PUNCT
easat-7172	224	4	𝑑𝑡	𝑑𝑡	ADP
easat-7172	224	5	=	=	NOUN
easat-7172	224	6	δ0	δ0	NOUN
easat-7172	224	7	(	(	PUNCT
easat-7172	224	8	−1	−1	NOUN
easat-7172	224	9	−	−	NOUN
easat-7172	224	10	𝑡𝜌	𝑡𝜌	ADP
easat-7172	224	11	γ(ρ+1	γ(ρ+1	NUM
easat-7172	224	12	)	)	PUNCT
easat-7172	225	1	−	−	PROPN
easat-7172	225	2	𝑡2𝜌	𝑡2𝜌	PROPN
easat-7172	225	3	γ(2ρ+1	γ(2ρ+1	PROPN
easat-7172	225	4	)	)	PUNCT
easat-7172	225	5	)	)	PUNCT
easat-7172	225	6	<	<	X
easat-7172	225	7	0	0	NUM
easat-7172	225	8	,	,	PUNCT
easat-7172	225	9	which	which	PRON
easat-7172	225	10	is	be	AUX
easat-7172	225	11	an	an	DET
easat-7172	225	12	increasing	increase	VERB
easat-7172	225	13	function	function	NOUN
easat-7172	225	14	with	with	ADP
easat-7172	225	15	respect	respect	NOUN
easat-7172	225	16	to	to	PART
easat-7172	225	17	𝑡.	𝑡.	VERB
easat-7172	225	18	the	the	DET
easat-7172	225	19	(	(	PUNCT
easat-7172	225	20	𝛼	𝛼	PROPN
easat-7172	225	21	,	,	PUNCT
easat-7172	225	22	𝛽	𝛽	NOUN
easat-7172	225	23	,	,	PUNCT
easat-7172	225	24	𝛾)-cut	𝛾)-cut	NOUN
easat-7172	225	25	of	of	ADP
easat-7172	225	26	the	the	DET
easat-7172	225	27	initial	initial	ADJ
easat-7172	225	28	value	value	NOUN
easat-7172	225	29	of	of	ADP
easat-7172	225	30	δ̃0	δ̃0	NOUN
easat-7172	225	31	is	be	AUX
easat-7172	225	32	(	(	PUNCT
easat-7172	225	33	δ̃0)𝛼,𝛽,𝛾	δ̃0)𝛼,𝛽,𝛾	VERB
easat-7172	225	34	=	=	SYM
easat-7172	225	35	{	{	PUNCT
easat-7172	225	36	30	30	NUM
easat-7172	225	37	+	+	NUM
easat-7172	225	38	20𝛼	20𝛼	NOUN
easat-7172	225	39	,	,	PUNCT
easat-7172	225	40	70	70	NUM
easat-7172	225	41	−	−	NOUN
easat-7172	225	42	20𝛼	20𝛼	NOUN
easat-7172	225	43	]	]	PUNCT
easat-7172	225	44	;	;	PUNCT
easat-7172	226	1	[	[	X
easat-7172	226	2	50	50	NUM
easat-7172	226	3	−	−	NOUN
easat-7172	226	4	10𝛽	10𝛽	NOUN
easat-7172	226	5	,	,	PUNCT
easat-7172	226	6	50	50	NUM
easat-7172	226	7	+	+	NOUN
easat-7172	226	8	10𝛽	10𝛽	NOUN
easat-7172	226	9	]	]	PUNCT
easat-7172	226	10	;	;	PUNCT
easat-7172	226	11	[	[	X
easat-7172	226	12	50	50	NUM
easat-7172	226	13	−	−	NOUN
easat-7172	226	14	5𝛽	5𝛽	NOUN
easat-7172	226	15	,	,	PUNCT
easat-7172	226	16	50	50	NUM
easat-7172	226	17	+	+	CCONJ
easat-7172	226	18	5𝛽	5𝛽	NOUN
easat-7172	226	19	]	]	X
easat-7172	226	20	}	}	PUNCT
easat-7172	226	21	using	use	VERB
easat-7172	226	22	equation	equation	NOUN
easat-7172	226	23	(	(	PUNCT
easat-7172	226	24	6	6	NUM
easat-7172	226	25	)	)	PUNCT
easat-7172	226	26	from	from	ADP
easat-7172	226	27	section	section	NOUN
easat-7172	226	28	5	5	NUM
easat-7172	226	29	we	we	PRON
easat-7172	226	30	get	get	VERB
easat-7172	226	31	(	(	PUNCT
easat-7172	226	32	δ̃(𝑡	δ̃(𝑡	PROPN
easat-7172	226	33	)	)	PUNCT
easat-7172	226	34	)	)	PUNCT
easat-7172	227	1	𝛼,𝛽,𝛾	𝛼,𝛽,𝛾	PROPN
easat-7172	227	2	=	=	PUNCT
easat-7172	227	3	{	{	PUNCT
easat-7172	227	4	[	[	X
easat-7172	227	5	δ𝛼	δ𝛼	X
easat-7172	227	6	𝐿	𝐿	PROPN
easat-7172	227	7	(	(	PUNCT
easat-7172	227	8	𝑡	𝑡	PROPN
easat-7172	227	9	)	)	PUNCT
easat-7172	227	10	,	,	PUNCT
easat-7172	227	11	δ𝛼	δ𝛼	ADP
easat-7172	227	12	𝑅(𝑡	𝑅(𝑡	NOUN
easat-7172	227	13	)	)	PUNCT
easat-7172	227	14	]	]	PUNCT
easat-7172	227	15	;	;	PUNCT
easat-7172	227	16	[	[	X
easat-7172	227	17	δ𝛽	δ𝛽	ADP
easat-7172	227	18	𝐿	𝐿	PROPN
easat-7172	227	19	(	(	PUNCT
easat-7172	227	20	𝑡	𝑡	PROPN
easat-7172	227	21	)	)	PUNCT
easat-7172	227	22	,	,	PUNCT
easat-7172	227	23	δ𝛽	δ𝛽	VERB
easat-7172	227	24	𝑅(𝑡	𝑅(𝑡	NOUN
easat-7172	227	25	)	)	PUNCT
easat-7172	227	26	]	]	PUNCT
easat-7172	227	27	;	;	PUNCT
easat-7172	228	1	[	[	X
easat-7172	228	2	δ𝛾	δ𝛾	NOUN
easat-7172	228	3	𝐿(𝑡	𝐿(𝑡	NOUN
easat-7172	228	4	)	)	PUNCT
easat-7172	228	5	,	,	PUNCT
easat-7172	228	6	δ𝛾	δ𝛾	NOUN
easat-7172	228	7	𝑅(𝑡	𝑅(𝑡	NOUN
easat-7172	228	8	)	)	PUNCT
easat-7172	228	9	]	]	PUNCT
easat-7172	228	10	}	}	PUNCT
easat-7172	228	11	=	=	SYM
easat-7172	228	12	{	{	PUNCT
easat-7172	228	13	[	[	X
easat-7172	228	14	(	(	PUNCT
easat-7172	228	15	70	70	NUM
easat-7172	228	16	−	−	PROPN
easat-7172	228	17	20𝛼)(−1	20𝛼)(−1	NUM
easat-7172	228	18	−	−	NOUN
easat-7172	228	19	𝑡𝜌	𝑡𝜌	ADP
easat-7172	228	20	γ(ρ	γ(ρ	PROPN
easat-7172	229	1	+	+	CCONJ
easat-7172	229	2	1	1	X
easat-7172	229	3	)	)	PUNCT
easat-7172	229	4	−	−	PROPN
easat-7172	229	5	𝑡2𝜌	𝑡2𝜌	PROPN
easat-7172	229	6	γ(2ρ	γ(2ρ	NUM
easat-7172	229	7	+	+	NOUN
easat-7172	229	8	1	1	NUM
easat-7172	229	9	)	)	PUNCT
easat-7172	229	10	)	)	PUNCT
easat-7172	229	11	,	,	PUNCT
easat-7172	229	12	(	(	PUNCT
easat-7172	229	13	30	30	NUM
easat-7172	229	14	+	+	NUM
easat-7172	229	15	20𝛼)(−1	20𝛼)(−1	NUM
easat-7172	229	16	−	−	NOUN
easat-7172	229	17	𝑡𝜌	𝑡𝜌	ADP
easat-7172	229	18	γ(ρ	γ(ρ	PROPN
easat-7172	230	1	+	+	CCONJ
easat-7172	230	2	1	1	X
easat-7172	230	3	)	)	PUNCT
easat-7172	230	4	−	−	PROPN
easat-7172	230	5	𝑡2𝜌	𝑡2𝜌	PROPN
easat-7172	230	6	γ(2ρ	γ(2ρ	NUM
easat-7172	230	7	+	+	NOUN
easat-7172	230	8	1	1	NUM
easat-7172	230	9	)	)	PUNCT
easat-7172	230	10	)	)	PUNCT
easat-7172	230	11	]	]	PUNCT
easat-7172	230	12	;	;	PUNCT
easat-7172	231	1	[	[	X
easat-7172	231	2	(	(	PUNCT
easat-7172	231	3	50	50	NUM
easat-7172	231	4	+	+	NUM
easat-7172	231	5	10𝛽)(−1	10𝛽)(−1	NUM
easat-7172	231	6	−	−	NOUN
easat-7172	231	7	𝑡𝜌	𝑡𝜌	ADP
easat-7172	231	8	γ(ρ	γ(ρ	PROPN
easat-7172	232	1	+	+	CCONJ
easat-7172	232	2	1	1	X
easat-7172	232	3	)	)	PUNCT
easat-7172	232	4	−	−	PROPN
easat-7172	232	5	𝑡2𝜌	𝑡2𝜌	PROPN
easat-7172	232	6	γ(2ρ	γ(2ρ	NUM
easat-7172	232	7	+	+	NOUN
easat-7172	232	8	1	1	NUM
easat-7172	232	9	)	)	PUNCT
easat-7172	232	10	)	)	PUNCT
easat-7172	232	11	,	,	PUNCT
easat-7172	232	12	(	(	PUNCT
easat-7172	232	13	50	50	NUM
easat-7172	232	14	−	−	NOUN
easat-7172	232	15	10𝛽)(−1	10𝛽)(−1	NUM
easat-7172	233	1	−	−	NOUN
easat-7172	233	2	𝑡𝜌	𝑡𝜌	ADP
easat-7172	233	3	γ(ρ	γ(ρ	PROPN
easat-7172	234	1	+	+	CCONJ
easat-7172	234	2	1	1	X
easat-7172	234	3	)	)	PUNCT
easat-7172	234	4	−	−	PROPN
easat-7172	234	5	𝑡2𝜌	𝑡2𝜌	PROPN
easat-7172	234	6	γ(2ρ	γ(2ρ	NUM
easat-7172	234	7	+	+	NOUN
easat-7172	234	8	1	1	NUM
easat-7172	234	9	)	)	PUNCT
easat-7172	234	10	)	)	PUNCT
easat-7172	234	11	]	]	PUNCT
easat-7172	234	12	;	;	PUNCT
easat-7172	234	13	[	[	X
easat-7172	234	14	(	(	PUNCT
easat-7172	234	15	50	50	NUM
easat-7172	234	16	+	+	NOUN
easat-7172	234	17	5𝛾	5𝛾	NUM
easat-7172	234	18	)	)	PUNCT
easat-7172	234	19	(	(	PUNCT
easat-7172	234	20	−1	−1	NOUN
easat-7172	234	21	−	−	NOUN
easat-7172	234	22	𝑡𝜌	𝑡𝜌	ADP
easat-7172	234	23	γ(ρ	γ(ρ	PROPN
easat-7172	235	1	+	+	CCONJ
easat-7172	235	2	1	1	X
easat-7172	235	3	)	)	PUNCT
easat-7172	235	4	−	−	PROPN
easat-7172	235	5	𝑡2𝜌	𝑡2𝜌	PROPN
easat-7172	235	6	γ(2ρ	γ(2ρ	NUM
easat-7172	235	7	+	+	NOUN
easat-7172	235	8	1	1	NUM
easat-7172	235	9	)	)	PUNCT
easat-7172	235	10	)	)	PUNCT
easat-7172	235	11	,	,	PUNCT
easat-7172	235	12	(	(	PUNCT
easat-7172	235	13	50	50	NUM
easat-7172	235	14	−	−	NOUN
easat-7172	235	15	5𝛾	5𝛾	NUM
easat-7172	235	16	)	)	PUNCT
easat-7172	235	17	(	(	PUNCT
easat-7172	235	18	−1	−1	NOUN
easat-7172	235	19	−	−	NOUN
easat-7172	235	20	𝑡𝜌	𝑡𝜌	ADP
easat-7172	235	21	γ(ρ	γ(ρ	PROPN
easat-7172	236	1	+	+	CCONJ
easat-7172	236	2	1	1	X
easat-7172	236	3	)	)	PUNCT
easat-7172	236	4	−	−	PROPN
easat-7172	236	5	𝑡2𝜌	𝑡2𝜌	PROPN
easat-7172	236	6	γ(2ρ	γ(2ρ	NUM
easat-7172	236	7	+	+	NOUN
easat-7172	236	8	1	1	NUM
easat-7172	236	9	)	)	PUNCT
easat-7172	236	10	)	)	PUNCT
easat-7172	236	11	]	]	PUNCT
easat-7172	236	12	}	}	PUNCT
easat-7172	236	13	now	now	ADV
easat-7172	236	14	the	the	DET
easat-7172	236	15	pictorial	pictorial	ADJ
easat-7172	236	16	representation	representation	NOUN
easat-7172	236	17	of	of	ADP
easat-7172	236	18	the	the	DET
easat-7172	236	19	solution	solution	NOUN
easat-7172	236	20	for	for	ADP
easat-7172	236	21	ρ	ρ	NOUN
easat-7172	236	22	=	=	SYM
easat-7172	236	23	0.25	0.25	NUM
easat-7172	236	24	and	and	CCONJ
easat-7172	236	25	𝑡	𝑡	PROPN
easat-7172	236	26	∈	∈	PROPN
easat-7172	236	27	[	[	X
easat-7172	236	28	0,100	0,100	NUM
easat-7172	236	29	]	]	PUNCT
easat-7172	236	30	is	be	AUX
easat-7172	236	31	as	as	SCONJ
easat-7172	236	32	follows	follow	VERB
easat-7172	236	33	:	:	PUNCT
easat-7172	236	34	figure	figure	NOUN
easat-7172	236	35	2	2	NUM
easat-7172	236	36	.	.	PUNCT
easat-7172	236	37	solution	solution	NOUN
easat-7172	236	38	for	for	ADP
easat-7172	236	39	ρ	ρ	NOUN
easat-7172	236	40	=	=	SYM
easat-7172	236	41	0.25	0.25	NUM
easat-7172	236	42	and	and	CCONJ
easat-7172	236	43	𝑡	𝑡	PROPN
easat-7172	236	44	∈	∈	PROPN
easat-7172	237	1	[	[	X
easat-7172	237	2	0,100	0,100	NUM
easat-7172	237	3	]	]	X
easat-7172	237	4	note	note	NOUN
easat-7172	237	5	:	:	PUNCT
easat-7172	237	6	clearly	clearly	ADV
easat-7172	237	7	,	,	PUNCT
easat-7172	237	8	we	we	PRON
easat-7172	237	9	that	that	SCONJ
easat-7172	237	10	the	the	DET
easat-7172	237	11	solution	solution	NOUN
easat-7172	237	12	obeys	obey	VERB
easat-7172	237	13	the	the	DET
easat-7172	237	14	conditions	condition	NOUN
easat-7172	237	15	1403	1403	NUM
easat-7172	237	16	edelweiss	edelweiss	PROPN
easat-7172	237	17	applied	apply	VERB
easat-7172	237	18	science	science	NOUN
easat-7172	237	19	and	and	CCONJ
easat-7172	237	20	technology	technology	NOUN
easat-7172	237	21	issn	issn	PROPN
easat-7172	237	22	:	:	PUNCT
easat-7172	237	23	2576	2576	NUM
easat-7172	237	24	-	-	SYM
easat-7172	237	25	8484	8484	NUM
easat-7172	237	26	vol	vol	NOUN
easat-7172	237	27	.	.	PROPN
easat-7172	238	1	9	9	NUM
easat-7172	238	2	,	,	PUNCT
easat-7172	238	3	no	no	INTJ
easat-7172	238	4	.	.	NOUN
easat-7172	238	5	5	5	NUM
easat-7172	238	6	:	:	SYM
easat-7172	238	7	1393	1393	NUM
easat-7172	238	8	-	-	SYM
easat-7172	238	9	1405	1405	NUM
easat-7172	238	10	,	,	PUNCT
easat-7172	238	11	2025	2025	NUM
easat-7172	238	12	doi	doi	NOUN
easat-7172	238	13	:	:	PUNCT
easat-7172	238	14	10.55214/25768484.v9i5.7172	10.55214/25768484.v9i5.7172	NUM
easat-7172	238	15	©	©	PROPN
easat-7172	238	16	2025	2025	NUM
easat-7172	238	17	by	by	ADP
easat-7172	238	18	the	the	DET
easat-7172	238	19	author	author	NOUN
easat-7172	238	20	;	;	PUNCT
easat-7172	238	21	licensee	licensee	PROPN
easat-7172	238	22	learning	learning	NOUN
easat-7172	238	23	gate	gate	NOUN
easat-7172	238	24	δ𝛼	δ𝛼	PROPN
easat-7172	238	25	𝐿	𝐿	PROPN
easat-7172	238	26	(	(	PUNCT
easat-7172	238	27	𝑡	𝑡	NOUN
easat-7172	238	28	)	)	PUNCT
easat-7172	238	29	≤	≤	NOUN
easat-7172	238	30	δ𝛼	δ𝛼	ADP
easat-7172	238	31	𝑅(𝑡	𝑅(𝑡	NOUN
easat-7172	238	32	)	)	PUNCT
easat-7172	238	33	,	,	PUNCT
easat-7172	238	34	δ𝛽	δ𝛽	VERB
easat-7172	238	35	𝐿	𝐿	PROPN
easat-7172	238	36	(	(	PUNCT
easat-7172	238	37	𝑡	𝑡	NOUN
easat-7172	238	38	)	)	PUNCT
easat-7172	238	39	≤	≤	NOUN
easat-7172	238	40	δ𝛽	δ𝛽	VERB
easat-7172	238	41	𝑅(𝑡	𝑅(𝑡	NOUN
easat-7172	238	42	)	)	PUNCT
easat-7172	238	43	,	,	PUNCT
easat-7172	238	44	δ𝛾	δ𝛾	PROPN
easat-7172	238	45	𝐿	𝐿	PROPN
easat-7172	238	46	(	(	PUNCT
easat-7172	238	47	𝑡	𝑡	NOUN
easat-7172	238	48	)	)	PUNCT
easat-7172	238	49	≤	≤	NUM
easat-7172	238	50	δ𝛾	δ𝛾	NOUN
easat-7172	238	51	𝑅(𝑡	𝑅(𝑡	NOUN
easat-7172	238	52	)	)	PUNCT
easat-7172	238	53	for	for	ADP
easat-7172	238	54	particular	particular	ADJ
easat-7172	238	55	ρ	ρ	NOUN
easat-7172	238	56	=	=	SYM
easat-7172	238	57	0.25	0.25	NUM
easat-7172	238	58	and	and	CCONJ
easat-7172	238	59	𝑡	𝑡	PROPN
easat-7172	238	60	∈	∈	PROPN
easat-7172	239	1	[	[	X
easat-7172	239	2	0,100	0,100	NUM
easat-7172	239	3	]	]	PUNCT
easat-7172	239	4	,	,	PUNCT
easat-7172	239	5	𝛼	𝛼	X
easat-7172	239	6	,	,	PUNCT
easat-7172	239	7	𝛽	𝛽	NOUN
easat-7172	239	8	,	,	PUNCT
easat-7172	239	9	𝛾	𝛾	ADP
easat-7172	239	10	∈	∈	PROPN
easat-7172	240	1	[	[	X
easat-7172	240	2	0,1	0,1	NUM
easat-7172	240	3	]	]	PUNCT
easat-7172	240	4	,	,	PUNCT
easat-7172	240	5	therefore	therefore	ADV
easat-7172	240	6	it	it	PRON
easat-7172	240	7	also	also	ADV
easat-7172	240	8	is	be	AUX
easat-7172	240	9	a	a	DET
easat-7172	240	10	neutrosophic	neutrosophic	ADJ
easat-7172	240	11	solution	solution	NOUN
easat-7172	240	12	.	.	PUNCT
easat-7172	241	1	7	7	X
easat-7172	241	2	.	.	X
easat-7172	241	3	conclusion	conclusion	NOUN
easat-7172	241	4	and	and	CCONJ
easat-7172	241	5	future	future	ADJ
easat-7172	241	6	research	research	NOUN
easat-7172	241	7	scope	scope	NOUN
easat-7172	241	8	in	in	ADP
easat-7172	241	9	this	this	DET
easat-7172	241	10	paper	paper	NOUN
easat-7172	241	11	,	,	PUNCT
easat-7172	241	12	we	we	PRON
easat-7172	241	13	have	have	AUX
easat-7172	241	14	illustrated	illustrate	VERB
easat-7172	241	15	neutrosophic	neutrosophic	ADJ
easat-7172	241	16	extension	extension	NOUN
easat-7172	241	17	principal	principal	NOUN
easat-7172	241	18	method	method	NOUN
easat-7172	241	19	for	for	ADP
easat-7172	241	20	efficiently	efficiently	ADV
easat-7172	241	21	solving	solve	VERB
easat-7172	241	22	the	the	DET
easat-7172	241	23	neutrosophic	neutrosophic	ADJ
easat-7172	241	24	fuzzy	fuzzy	ADJ
easat-7172	241	25	fractional	fractional	ADJ
easat-7172	241	26	differential	differential	ADJ
easat-7172	241	27	equations	equation	NOUN
easat-7172	241	28	(	(	PUNCT
easat-7172	241	29	nffdes	nffde	NOUN
easat-7172	241	30	)	)	PUNCT
easat-7172	241	31	.	.	PUNCT
easat-7172	242	1	by	by	ADP
easat-7172	242	2	participating	participate	VERB
easat-7172	242	3	the	the	DET
easat-7172	242	4	extension	extension	NOUN
easat-7172	242	5	principal	principal	NOUN
easat-7172	242	6	method	method	NOUN
easat-7172	242	7	into	into	ADP
easat-7172	242	8	the	the	DET
easat-7172	242	9	framework	framework	NOUN
easat-7172	242	10	of	of	ADP
easat-7172	242	11	fractional	fractional	ADJ
easat-7172	242	12	calculus	calculus	NOUN
easat-7172	242	13	ideology	ideology	NOUN
easat-7172	242	14	in	in	ADP
easat-7172	242	15	neutrosophic	neutrosophic	ADJ
easat-7172	242	16	fuzzy	fuzzy	ADJ
easat-7172	242	17	environments	environment	NOUN
easat-7172	242	18	a	a	DET
easat-7172	242	19	complex	complex	ADJ
easat-7172	242	20	system	system	NOUN
easat-7172	242	21	formed	form	VERB
easat-7172	242	22	.	.	PUNCT
easat-7172	243	1	the	the	DET
easat-7172	243	2	advanced	advanced	ADJ
easat-7172	243	3	method	method	NOUN
easat-7172	243	4	extends	extend	VERB
easat-7172	243	5	classical	classical	ADJ
easat-7172	243	6	solution	solution	NOUN
easat-7172	243	7	strategy	strategy	NOUN
easat-7172	243	8	to	to	PART
easat-7172	243	9	handle	handle	VERB
easat-7172	243	10	neutrosophic	neutrosophic	ADJ
easat-7172	243	11	fuzzy	fuzzy	ADJ
easat-7172	243	12	initial	initial	ADJ
easat-7172	243	13	conditions	condition	NOUN
easat-7172	243	14	.	.	PUNCT
easat-7172	244	1	several	several	ADJ
easat-7172	244	2	illustrative	illustrative	ADJ
easat-7172	244	3	examples	example	NOUN
easat-7172	244	4	demonstrated	demonstrate	VERB
easat-7172	244	5	the	the	DET
easat-7172	244	6	viability	viability	NOUN
easat-7172	244	7	,	,	PUNCT
easat-7172	244	8	reliability	reliability	NOUN
easat-7172	244	9	,	,	PUNCT
easat-7172	244	10	and	and	CCONJ
easat-7172	244	11	flexibility	flexibility	NOUN
easat-7172	244	12	of	of	ADP
easat-7172	244	13	the	the	DET
easat-7172	244	14	proposed	propose	VERB
easat-7172	244	15	method	method	NOUN
easat-7172	244	16	.	.	PUNCT
easat-7172	245	1	overall	overall	ADV
easat-7172	245	2	,	,	PUNCT
easat-7172	245	3	the	the	DET
easat-7172	245	4	proposed	propose	VERB
easat-7172	245	5	methods	method	NOUN
easat-7172	245	6	provide	provide	VERB
easat-7172	245	7	a	a	DET
easat-7172	245	8	systematic	systematic	ADJ
easat-7172	245	9	,	,	PUNCT
easat-7172	245	10	reliable	reliable	ADJ
easat-7172	245	11	,	,	PUNCT
easat-7172	245	12	and	and	CCONJ
easat-7172	245	13	adaptable	adaptable	ADJ
easat-7172	245	14	tool	tool	NOUN
easat-7172	245	15	for	for	ADP
easat-7172	245	16	dealing	deal	VERB
easat-7172	245	17	with	with	ADP
easat-7172	245	18	fractional	fractional	ADJ
easat-7172	245	19	calculus	calculus	NOUN
easat-7172	245	20	systems	system	NOUN
easat-7172	245	21	influenced	influence	VERB
easat-7172	245	22	by	by	ADP
easat-7172	245	23	multifaceted	multifaceted	ADJ
easat-7172	245	24	uncertainties	uncertainty	NOUN
easat-7172	245	25	like	like	ADP
easat-7172	245	26	neutrosophic	neutrosophic	ADJ
easat-7172	245	27	sets	set	NOUN
easat-7172	245	28	.	.	PUNCT
easat-7172	246	1	there	there	PRON
easat-7172	246	2	are	be	VERB
easat-7172	246	3	various	various	ADJ
easat-7172	246	4	aspects	aspect	NOUN
easat-7172	246	5	for	for	ADP
easat-7172	246	6	future	future	ADJ
easat-7172	246	7	research	research	NOUN
easat-7172	246	8	extension	extension	NOUN
easat-7172	246	9	based	base	VERB
easat-7172	246	10	on	on	ADP
easat-7172	246	11	the	the	DET
easat-7172	246	12	present	present	ADJ
easat-7172	246	13	work	work	NOUN
easat-7172	246	14	.	.	PUNCT
easat-7172	247	1	one	one	NUM
easat-7172	247	2	of	of	ADP
easat-7172	247	3	the	the	DET
easat-7172	247	4	proposals	proposal	NOUN
easat-7172	247	5	is	be	AUX
easat-7172	247	6	to	to	PART
easat-7172	247	7	extend	extend	VERB
easat-7172	247	8	the	the	DET
easat-7172	247	9	methodology	methodology	NOUN
easat-7172	247	10	into	into	ADP
easat-7172	247	11	system	system	NOUN
easat-7172	247	12	of	of	ADP
easat-7172	247	13	fractional	fractional	ADJ
easat-7172	247	14	differential	differential	ADJ
easat-7172	247	15	equations	equation	NOUN
easat-7172	247	16	with	with	ADP
easat-7172	247	17	neutrosophic	neutrosophic	ADJ
easat-7172	247	18	uncertainty	uncertainty	NOUN
easat-7172	247	19	.	.	PUNCT
easat-7172	248	1	another	another	DET
easat-7172	248	2	development	development	NOUN
easat-7172	248	3	done	do	VERB
easat-7172	248	4	for	for	ADP
easat-7172	248	5	nonlinear	nonlinear	ADJ
easat-7172	248	6	systems	system	NOUN
easat-7172	248	7	numerical	numerical	PROPN
easat-7172	248	8	algorithm	algorithm	PROPN
easat-7172	248	9	findings	finding	NOUN
easat-7172	248	10	rather	rather	ADV
easat-7172	248	11	than	than	ADP
easat-7172	248	12	the	the	DET
easat-7172	248	13	analytical	analytical	ADJ
easat-7172	248	14	solutions	solution	NOUN
easat-7172	248	15	which	which	PRON
easat-7172	248	16	may	may	AUX
easat-7172	248	17	difficult	difficult	VERB
easat-7172	248	18	sometimes	sometimes	ADV
easat-7172	248	19	to	to	PART
easat-7172	248	20	obtained	obtain	VERB
easat-7172	248	21	.	.	PUNCT
easat-7172	249	1	by	by	ADP
easat-7172	249	2	considering	consider	VERB
easat-7172	249	3	several	several	ADJ
easat-7172	249	4	fractional	fractional	ADJ
easat-7172	249	5	derivatives	derivative	NOUN
easat-7172	249	6	like	like	ADP
easat-7172	249	7	the	the	DET
easat-7172	249	8	caputo	caputo	PROPN
easat-7172	249	9	–	–	PUNCT
easat-7172	249	10	fabrizio	fabrizio	PROPN
easat-7172	249	11	or	or	CCONJ
easat-7172	249	12	atangana	atangana	PROPN
easat-7172	249	13	–	–	PUNCT
easat-7172	249	14	baleanu	baleanu	ADJ
easat-7172	249	15	derivatives	derivative	NOUN
easat-7172	249	16	with	with	ADP
easat-7172	249	17	the	the	DET
easat-7172	249	18	neutrosophic	neutrosophic	ADJ
easat-7172	249	19	fuzzy	fuzzy	ADJ
easat-7172	249	20	settings	setting	NOUN
easat-7172	249	21	which	which	PRON
easat-7172	249	22	could	could	AUX
easat-7172	249	23	also	also	ADV
easat-7172	249	24	improve	improve	VERB
easat-7172	249	25	the	the	DET
easat-7172	249	26	model	model	NOUN
easat-7172	249	27	's	's	PART
easat-7172	249	28	capability	capability	NOUN
easat-7172	249	29	to	to	PART
easat-7172	249	30	capture	capture	VERB
easat-7172	249	31	different	different	ADJ
easat-7172	249	32	types	type	NOUN
easat-7172	249	33	of	of	ADP
easat-7172	249	34	memory	memory	NOUN
easat-7172	249	35	effects	effect	NOUN
easat-7172	249	36	.	.	PUNCT
easat-7172	250	1	the	the	DET
easat-7172	250	2	uncertainty	uncertainty	NOUN
easat-7172	250	3	parameters	parameter	NOUN
easat-7172	250	4	also	also	ADV
easat-7172	250	5	change	change	VERB
easat-7172	250	6	with	with	ADP
easat-7172	250	7	respect	respect	NOUN
easat-7172	250	8	to	to	ADP
easat-7172	250	9	decision	decision	NOUN
easat-7172	250	10	makers	maker	NOUN
easat-7172	250	11	need	need	VERB
easat-7172	250	12	,	,	PUNCT
easat-7172	250	13	the	the	DET
easat-7172	250	14	extension	extension	NOUN
easat-7172	250	15	of	of	ADP
easat-7172	250	16	neutrosophic	neutrosophic	ADJ
easat-7172	250	17	sets	set	NOUN
easat-7172	250	18	such	such	ADJ
easat-7172	250	19	as	as	ADP
easat-7172	250	20	cylindrical	cylindrical	ADJ
easat-7172	250	21	neutrosophic	neutrosophic	ADJ
easat-7172	250	22	sets	set	NOUN
easat-7172	250	23	may	may	AUX
easat-7172	250	24	considered	consider	VERB
easat-7172	250	25	.	.	PUNCT
easat-7172	251	1	the	the	DET
easat-7172	251	2	core	core	NOUN
easat-7172	251	3	applications	application	NOUN
easat-7172	251	4	may	may	AUX
easat-7172	251	5	be	be	AUX
easat-7172	251	6	found	find	VERB
easat-7172	251	7	from	from	ADP
easat-7172	251	8	the	the	DET
easat-7172	251	9	field	field	NOUN
easat-7172	251	10	like	like	ADP
easat-7172	251	11	engineering	engineering	NOUN
easat-7172	251	12	science	science	NOUN
easat-7172	251	13	,	,	PUNCT
easat-7172	251	14	mathematical	mathematical	ADJ
easat-7172	251	15	biology	biology	NOUN
easat-7172	251	16	and	and	CCONJ
easat-7172	251	17	economics	economic	NOUN
easat-7172	251	18	for	for	ADP
easat-7172	251	19	adopting	adopt	VERB
easat-7172	251	20	the	the	DET
easat-7172	251	21	fractional	fractional	ADJ
easat-7172	251	22	calculus	calculus	NOUN
easat-7172	251	23	theory	theory	NOUN
easat-7172	251	24	with	with	ADP
easat-7172	251	25	uncertainty	uncertainty	NOUN
easat-7172	251	26	.	.	PUNCT
easat-7172	252	1	future	future	ADJ
easat-7172	252	2	research	research	NOUN
easat-7172	252	3	also	also	ADV
easat-7172	252	4	focusses	focusse	VERB
easat-7172	252	5	on	on	ADP
easat-7172	252	6	by	by	ADP
easat-7172	252	7	integrating	integrate	VERB
easat-7172	252	8	optimization	optimization	NOUN
easat-7172	252	9	methods	method	NOUN
easat-7172	252	10	in	in	ADP
easat-7172	252	11	the	the	DET
easat-7172	252	12	solution	solution	NOUN
easat-7172	252	13	methdology	methdology	NOUN
easat-7172	252	14	,	,	PUNCT
easat-7172	252	15	which	which	PRON
easat-7172	252	16	allowing	allow	VERB
easat-7172	252	17	for	for	ADP
easat-7172	252	18	parameter	parameter	NOUN
easat-7172	252	19	identification	identification	NOUN
easat-7172	252	20	and	and	CCONJ
easat-7172	252	21	system	system	NOUN
easat-7172	252	22	optimization	optimization	NOUN
easat-7172	252	23	in	in	ADP
easat-7172	252	24	various	various	ADJ
easat-7172	252	25	complex	complex	ADJ
easat-7172	252	26	neutrosophic	neutrosophic	ADJ
easat-7172	252	27	fractional	fractional	ADJ
easat-7172	252	28	modelling	modelling	NOUN
easat-7172	252	29	.	.	PUNCT
easat-7172	253	1	transparency	transparency	NOUN
easat-7172	253	2	:	:	PUNCT
easat-7172	253	3	the	the	DET
easat-7172	253	4	author	author	NOUN
easat-7172	253	5	confirms	confirm	VERB
easat-7172	253	6	that	that	SCONJ
easat-7172	253	7	the	the	DET
easat-7172	253	8	manuscript	manuscript	NOUN
easat-7172	253	9	is	be	AUX
easat-7172	253	10	an	an	DET
easat-7172	253	11	honest	honest	ADJ
easat-7172	253	12	,	,	PUNCT
easat-7172	253	13	accurate	accurate	ADJ
easat-7172	253	14	,	,	PUNCT
easat-7172	253	15	and	and	CCONJ
easat-7172	253	16	transparent	transparent	ADJ
easat-7172	253	17	account	account	NOUN
easat-7172	253	18	of	of	ADP
easat-7172	253	19	the	the	DET
easat-7172	253	20	study	study	NOUN
easat-7172	253	21	;	;	PUNCT
easat-7172	253	22	that	that	SCONJ
easat-7172	253	23	no	no	DET
easat-7172	253	24	vital	vital	ADJ
easat-7172	253	25	features	feature	NOUN
easat-7172	253	26	of	of	ADP
easat-7172	253	27	the	the	DET
easat-7172	253	28	study	study	NOUN
easat-7172	253	29	have	have	AUX
easat-7172	253	30	been	be	AUX
easat-7172	253	31	omitted	omit	VERB
easat-7172	253	32	;	;	PUNCT
easat-7172	253	33	and	and	CCONJ
easat-7172	253	34	that	that	SCONJ
easat-7172	253	35	any	any	DET
easat-7172	253	36	discrepancies	discrepancy	NOUN
easat-7172	253	37	from	from	ADP
easat-7172	253	38	the	the	DET
easat-7172	253	39	study	study	NOUN
easat-7172	253	40	as	as	SCONJ
easat-7172	253	41	planned	plan	VERB
easat-7172	253	42	have	have	AUX
easat-7172	253	43	been	be	AUX
easat-7172	253	44	explained	explain	VERB
easat-7172	253	45	.	.	PUNCT
easat-7172	254	1	this	this	DET
easat-7172	254	2	study	study	NOUN
easat-7172	254	3	followed	follow	VERB
easat-7172	254	4	all	all	DET
easat-7172	254	5	ethical	ethical	ADJ
easat-7172	254	6	practices	practice	NOUN
easat-7172	254	7	during	during	ADP
easat-7172	254	8	writing	writing	NOUN
easat-7172	254	9	.	.	PUNCT
easat-7172	255	1	copyright	copyright	NOUN
easat-7172	255	2	:	:	PUNCT
easat-7172	255	3	©	©	PROPN
easat-7172	255	4	2025	2025	NUM
easat-7172	255	5	by	by	ADP
easat-7172	255	6	the	the	DET
easat-7172	255	7	author	author	NOUN
easat-7172	255	8	.	.	PUNCT
easat-7172	256	1	this	this	DET
easat-7172	256	2	open	open	ADJ
easat-7172	256	3	-	-	PUNCT
easat-7172	256	4	access	access	NOUN
easat-7172	256	5	article	article	NOUN
easat-7172	256	6	is	be	AUX
easat-7172	256	7	distributed	distribute	VERB
easat-7172	256	8	under	under	ADP
easat-7172	256	9	the	the	DET
easat-7172	256	10	terms	term	NOUN
easat-7172	256	11	and	and	CCONJ
easat-7172	256	12	conditions	condition	NOUN
easat-7172	256	13	of	of	ADP
easat-7172	256	14	the	the	DET
easat-7172	256	15	creative	creative	ADJ
easat-7172	256	16	commons	common	NOUN
easat-7172	256	17	attribution	attribution	NOUN
easat-7172	256	18	(	(	PUNCT
easat-7172	256	19	cc	cc	NOUN
easat-7172	256	20	by	by	ADP
easat-7172	256	21	)	)	PUNCT
easat-7172	256	22	license	license	NOUN
easat-7172	256	23	(	(	PUNCT
easat-7172	256	24	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
easat-7172	256	25	)	)	PUNCT
easat-7172	256	26	.	.	PUNCT
easat-7172	257	1	references	reference	NOUN
easat-7172	257	2	[	[	X
easat-7172	257	3	1	1	NUM
easat-7172	257	4	]	]	PUNCT
easat-7172	257	5	k.	k.	PROPN
easat-7172	257	6	l.	l.	PROPN
easat-7172	257	7	cooke	cooke	PROPN
easat-7172	257	8	,	,	PUNCT
easat-7172	257	9	"	"	PUNCT
easat-7172	257	10	differential	differential	ADJ
easat-7172	257	11	—	—	PUNCT
easat-7172	257	12	difference	difference	NOUN
easat-7172	257	13	equations	equation	NOUN
easat-7172	257	14	,	,	PUNCT
easat-7172	257	15	"	"	PUNCT
easat-7172	257	16	in	in	ADP
easat-7172	257	17	international	international	ADJ
easat-7172	257	18	symposium	symposium	NOUN
easat-7172	257	19	on	on	ADP
easat-7172	257	20	nonlinear	nonlinear	ADJ
easat-7172	257	21	differential	differential	ADJ
easat-7172	257	22	equations	equation	NOUN
easat-7172	257	23	and	and	CCONJ
easat-7172	257	24	nonlinear	nonlinear	ADJ
easat-7172	257	25	mechanics	mechanic	NOUN
easat-7172	257	26	,	,	PUNCT
easat-7172	257	27	1963	1963	NUM
easat-7172	257	28	,	,	PUNCT
easat-7172	257	29	pp	pp	ADP
easat-7172	257	30	.	.	PUNCT
easat-7172	258	1	155	155	NUM
easat-7172	258	2	-	-	SYM
easat-7172	258	3	171	171	NUM
easat-7172	258	4	.	.	PUNCT
easat-7172	259	1	[	[	X
easat-7172	259	2	2	2	NUM
easat-7172	259	3	]	]	PUNCT
easat-7172	259	4	c.	c.	PROPN
easat-7172	259	5	c.	c.	PROPN
easat-7172	259	6	ross	ross	PROPN
easat-7172	259	7	,	,	PUNCT
easat-7172	259	8	"	"	PUNCT
easat-7172	259	9	about	about	ADP
easat-7172	259	10	differential	differential	ADJ
easat-7172	259	11	equations	equation	NOUN
easat-7172	259	12	.	.	PUNCT
easat-7172	259	13	"	"	PUNCT
easat-7172	260	1	new	new	PROPN
easat-7172	260	2	york	york	PROPN
easat-7172	260	3	:	:	PUNCT
easat-7172	260	4	springer	springer	NOUN
easat-7172	260	5	,	,	PUNCT
easat-7172	260	6	2004	2004	NUM
easat-7172	260	7	,	,	PUNCT
easat-7172	260	8	pp	pp	ADJ
easat-7172	260	9	.	.	PUNCT
easat-7172	261	1	1	1	NUM
easat-7172	261	2	-	-	SYM
easat-7172	261	3	25	25	NUM
easat-7172	261	4	.	.	PUNCT
easat-7172	262	1	[	[	X
easat-7172	262	2	3	3	X
easat-7172	262	3	]	]	PUNCT
easat-7172	262	4	m.	m.	NOUN
easat-7172	262	5	braun	braun	NOUN
easat-7172	262	6	and	and	CCONJ
easat-7172	262	7	m.	m.	NOUN
easat-7172	262	8	golubitsky	golubitsky	NOUN
easat-7172	262	9	,	,	PUNCT
easat-7172	262	10	differential	differential	ADJ
easat-7172	262	11	equations	equation	NOUN
easat-7172	262	12	and	and	CCONJ
easat-7172	262	13	their	their	PRON
easat-7172	262	14	applications	application	NOUN
easat-7172	262	15	.	.	PUNCT
easat-7172	263	1	new	new	PROPN
easat-7172	263	2	york	york	PROPN
easat-7172	263	3	:	:	PUNCT
easat-7172	263	4	springer	springer	NOUN
easat-7172	263	5	-	-	PUNCT
easat-7172	263	6	verlag	verlag	PROPN
easat-7172	263	7	,	,	PUNCT
easat-7172	263	8	1983	1983	NUM
easat-7172	263	9	.	.	PUNCT
easat-7172	264	1	[	[	X
easat-7172	264	2	4	4	X
easat-7172	264	3	]	]	PUNCT
easat-7172	264	4	k.	k.	NOUN
easat-7172	264	5	sobczyk	sobczyk	PROPN
easat-7172	264	6	,	,	PUNCT
easat-7172	264	7	stochastic	stochastic	ADJ
easat-7172	264	8	differential	differential	ADJ
easat-7172	264	9	equations	equation	NOUN
easat-7172	264	10	:	:	PUNCT
easat-7172	264	11	with	with	ADP
easat-7172	264	12	applications	application	NOUN
easat-7172	264	13	to	to	ADP
easat-7172	264	14	physics	physics	NOUN
easat-7172	264	15	and	and	CCONJ
easat-7172	264	16	engineering	engineering	NOUN
easat-7172	264	17	.	.	PUNCT
easat-7172	265	1	springer	springer	NOUN
easat-7172	265	2	science	science	PROPN
easat-7172	265	3	&	&	CCONJ
easat-7172	265	4	business	business	NOUN
easat-7172	265	5	media	medium	NOUN
easat-7172	265	6	.	.	PUNCT
easat-7172	266	1	https://doi.org/10.1007/978-94-011-3712-6	https://doi.org/10.1007/978-94-011-3712-6	PROPN
easat-7172	266	2	,	,	PUNCT
easat-7172	266	3	2013	2013	NUM
easat-7172	266	4	.	.	PUNCT
easat-7172	267	1	[	[	X
easat-7172	267	2	5	5	NUM
easat-7172	267	3	]	]	PUNCT
easat-7172	267	4	a.	a.	NOUN
easat-7172	267	5	a.	a.	NOUN
easat-7172	267	6	kilbas	kilbas	PROPN
easat-7172	267	7	,	,	PUNCT
easat-7172	267	8	h.	h.	PROPN
easat-7172	267	9	m.	m.	PROPN
easat-7172	267	10	srivastava	srivastava	PROPN
easat-7172	267	11	,	,	PUNCT
easat-7172	267	12	and	and	CCONJ
easat-7172	267	13	j.	j.	PROPN
easat-7172	267	14	j.	j.	PROPN
easat-7172	267	15	trujillo	trujillo	PROPN
easat-7172	267	16	,	,	PUNCT
easat-7172	267	17	theory	theory	NOUN
easat-7172	267	18	and	and	CCONJ
easat-7172	267	19	applications	application	NOUN
easat-7172	267	20	of	of	ADP
easat-7172	267	21	fractional	fractional	ADJ
easat-7172	267	22	differential	differential	ADJ
easat-7172	267	23	equations	equation	NOUN
easat-7172	267	24	.	.	PUNCT
easat-7172	268	1	elsevier	elsevier	NOUN
easat-7172	268	2	,	,	PUNCT
easat-7172	268	3	2006	2006	NUM
easat-7172	268	4	.	.	PUNCT
easat-7172	269	1	[	[	X
easat-7172	269	2	6	6	NUM
easat-7172	269	3	]	]	PUNCT
easat-7172	269	4	i.	i.	NOUN
easat-7172	269	5	podlubny	podlubny	PROPN
easat-7172	269	6	,	,	PUNCT
easat-7172	269	7	fractional	fractional	ADJ
easat-7172	269	8	differential	differential	ADJ
easat-7172	269	9	equations	equation	NOUN
easat-7172	269	10	:	:	PUNCT
easat-7172	269	11	an	an	DET
easat-7172	269	12	introduction	introduction	NOUN
easat-7172	269	13	to	to	ADP
easat-7172	269	14	fractional	fractional	ADJ
easat-7172	269	15	derivatives	derivative	NOUN
easat-7172	269	16	,	,	PUNCT
easat-7172	269	17	fractional	fractional	ADJ
easat-7172	269	18	differential	differential	ADJ
easat-7172	269	19	equations	equation	NOUN
easat-7172	269	20	,	,	PUNCT
easat-7172	269	21	to	to	ADP
easat-7172	269	22	methods	method	NOUN
easat-7172	269	23	of	of	ADP
easat-7172	269	24	their	their	PRON
easat-7172	269	25	solution	solution	NOUN
easat-7172	269	26	and	and	CCONJ
easat-7172	269	27	some	some	PRON
easat-7172	269	28	of	of	ADP
easat-7172	269	29	their	their	PRON
easat-7172	269	30	applications	application	NOUN
easat-7172	269	31	.	.	PUNCT
easat-7172	270	1	elsevier	elsevier	NOUN
easat-7172	270	2	,	,	PUNCT
easat-7172	270	3	1998	1998	NUM
easat-7172	270	4	.	.	PUNCT
easat-7172	271	1	[	[	X
easat-7172	271	2	7	7	X
easat-7172	271	3	]	]	X
easat-7172	271	4	y.	y.	PROPN
easat-7172	271	5	zhou	zhou	PROPN
easat-7172	271	6	,	,	PUNCT
easat-7172	271	7	basic	basic	ADJ
easat-7172	271	8	theory	theory	NOUN
easat-7172	271	9	of	of	ADP
easat-7172	271	10	fractional	fractional	ADJ
easat-7172	271	11	differential	differential	ADJ
easat-7172	271	12	equations	equation	NOUN
easat-7172	271	13	.	.	PUNCT
easat-7172	272	1	world	world	PROPN
easat-7172	272	2	scientific	scientific	ADJ
easat-7172	272	3	,	,	PUNCT
easat-7172	272	4	2023	2023	NUM
easat-7172	272	5	.	.	PUNCT
easat-7172	273	1	[	[	X
easat-7172	273	2	8	8	NUM
easat-7172	273	3	]	]	PUNCT
easat-7172	273	4	v.	v.	CCONJ
easat-7172	273	5	lakshmikantham	lakshmikantham	NOUN
easat-7172	273	6	and	and	CCONJ
easat-7172	273	7	a.	a.	PROPN
easat-7172	273	8	s.	s.	PROPN
easat-7172	273	9	vatsala	vatsala	PROPN
easat-7172	273	10	,	,	PUNCT
easat-7172	273	11	"	"	PUNCT
easat-7172	273	12	basic	basic	ADJ
easat-7172	273	13	theory	theory	NOUN
easat-7172	273	14	of	of	ADP
easat-7172	273	15	fractional	fractional	ADJ
easat-7172	273	16	differential	differential	ADJ
easat-7172	273	17	equations	equation	NOUN
easat-7172	273	18	,	,	PUNCT
easat-7172	273	19	"	"	PUNCT
easat-7172	273	20	nonlinear	nonlinear	ADJ
easat-7172	273	21	analysis	analysis	NOUN
easat-7172	273	22	:	:	PUNCT
easat-7172	273	23	theory	theory	NOUN
easat-7172	273	24	,	,	PUNCT
easat-7172	273	25	methods	method	NOUN
easat-7172	273	26	&	&	CCONJ
easat-7172	273	27	applications	application	NOUN
easat-7172	273	28	,	,	PUNCT
easat-7172	273	29	vol	vol	NOUN
easat-7172	273	30	.	.	PROPN
easat-7172	274	1	69	69	NUM
easat-7172	274	2	,	,	PUNCT
easat-7172	274	3	no	no	INTJ
easat-7172	274	4	.	.	NOUN
easat-7172	274	5	8	8	NUM
easat-7172	274	6	,	,	PUNCT
easat-7172	274	7	pp	pp	ADJ
easat-7172	274	8	.	.	PUNCT
easat-7172	275	1	2677	2677	NUM
easat-7172	275	2	-	-	SYM
easat-7172	275	3	2682	2682	NUM
easat-7172	275	4	,	,	PUNCT
easat-7172	275	5	2008	2008	NUM
easat-7172	275	6	.	.	PUNCT
easat-7172	276	1	https://doi.org/10.1016/j.na.2007.08.042	https://doi.org/10.1016/j.na.2007.08.042	PRON
easat-7172	276	2	[	[	X
easat-7172	276	3	9	9	NUM
easat-7172	276	4	]	]	PUNCT
easat-7172	276	5	v.	v.	PROPN
easat-7172	276	6	p.	p.	PROPN
easat-7172	276	7	dubey	dubey	PROPN
easat-7172	276	8	,	,	PUNCT
easat-7172	276	9	j.	j.	PROPN
easat-7172	276	10	singh	singh	PROPN
easat-7172	276	11	,	,	PUNCT
easat-7172	276	12	a.	a.	NOUN
easat-7172	276	13	m.	m.	PROPN
easat-7172	276	14	alshehri	alshehri	PROPN
easat-7172	276	15	,	,	PUNCT
easat-7172	276	16	s.	s.	PROPN
easat-7172	276	17	dubey	dubey	PROPN
easat-7172	276	18	,	,	PUNCT
easat-7172	276	19	and	and	CCONJ
easat-7172	276	20	d.	d.	PROPN
easat-7172	276	21	kumar	kumar	PROPN
easat-7172	276	22	,	,	PUNCT
easat-7172	276	23	"	"	PUNCT
easat-7172	276	24	analysis	analysis	NOUN
easat-7172	276	25	and	and	CCONJ
easat-7172	276	26	fractal	fractal	ADJ
easat-7172	276	27	dynamics	dynamic	NOUN
easat-7172	276	28	of	of	ADP
easat-7172	276	29	local	local	ADJ
easat-7172	276	30	fractional	fractional	ADJ
easat-7172	276	31	partial	partial	ADJ
easat-7172	276	32	differential	differential	NOUN
easat-7172	276	33	equations	equation	NOUN
easat-7172	276	34	occurring	occur	VERB
easat-7172	276	35	in	in	ADP
easat-7172	276	36	physical	physical	ADJ
easat-7172	276	37	sciences	science	NOUN
easat-7172	276	38	,	,	PUNCT
easat-7172	276	39	"	"	PUNCT
easat-7172	276	40	journal	journal	NOUN
easat-7172	276	41	of	of	ADP
easat-7172	276	42	computational	computational	ADJ
easat-7172	276	43	and	and	CCONJ
easat-7172	276	44	nonlinear	nonlinear	ADJ
easat-7172	276	45	dynamics	dynamic	NOUN
easat-7172	276	46	,	,	PUNCT
easat-7172	276	47	vol	vol	NOUN
easat-7172	276	48	.	.	PROPN
easat-7172	276	49	18	18	NUM
easat-7172	276	50	,	,	PUNCT
easat-7172	276	51	no	no	INTJ
easat-7172	276	52	.	.	NOUN
easat-7172	276	53	3	3	NUM
easat-7172	276	54	,	,	PUNCT
easat-7172	276	55	p.	p.	NOUN
easat-7172	276	56	031001	031001	NUM
easat-7172	276	57	,	,	PUNCT
easat-7172	276	58	2023	2023	NUM
easat-7172	276	59	.	.	PUNCT
easat-7172	277	1	https://doi.org/10.1115/1.4056360	https://doi.org/10.1115/1.4056360	PROPN
easat-7172	277	2	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
easat-7172	277	3	https://doi.org/10.1007/978-94-011-3712-6	https://doi.org/10.1007/978-94-011-3712-6	VERB
easat-7172	277	4	https://doi.org/10.1016/j.na.2007.08.042	https://doi.org/10.1016/j.na.2007.08.042	NOUN
easat-7172	277	5	https://doi.org/10.1115/1.4056360	https://doi.org/10.1115/1.4056360	ADJ
easat-7172	277	6	1404	1404	NUM
easat-7172	277	7	edelweiss	edelweiss	PROPN
easat-7172	277	8	applied	apply	VERB
easat-7172	277	9	science	science	NOUN
easat-7172	277	10	and	and	CCONJ
easat-7172	277	11	technology	technology	NOUN
easat-7172	277	12	issn	issn	PROPN
easat-7172	277	13	:	:	PUNCT
easat-7172	277	14	2576	2576	NUM
easat-7172	277	15	-	-	SYM
easat-7172	277	16	8484	8484	NUM
easat-7172	277	17	vol	vol	NOUN
easat-7172	277	18	.	.	PROPN
easat-7172	278	1	9	9	NUM
easat-7172	278	2	,	,	PUNCT
easat-7172	278	3	no	no	INTJ
easat-7172	278	4	.	.	NOUN
easat-7172	278	5	5	5	NUM
easat-7172	278	6	:	:	SYM
easat-7172	278	7	1393	1393	NUM
easat-7172	278	8	-	-	SYM
easat-7172	278	9	1405	1405	NUM
easat-7172	278	10	,	,	PUNCT
easat-7172	278	11	2025	2025	NUM
easat-7172	278	12	doi	doi	NOUN
easat-7172	278	13	:	:	PUNCT
easat-7172	278	14	10.55214/25768484.v9i5.7172	10.55214/25768484.v9i5.7172	NUM
easat-7172	278	15	©	©	PROPN
easat-7172	278	16	2025	2025	NUM
easat-7172	278	17	by	by	ADP
easat-7172	278	18	the	the	DET
easat-7172	278	19	author	author	NOUN
easat-7172	278	20	;	;	PUNCT
easat-7172	278	21	licensee	licensee	PROPN
easat-7172	278	22	learning	learning	NOUN
easat-7172	278	23	gate	gate	NOUN
easat-7172	279	1	[	[	X
easat-7172	279	2	10	10	NUM
easat-7172	279	3	]	]	PUNCT
easat-7172	279	4	z.	z.	PROPN
easat-7172	279	5	sabir	sabir	PROPN
easat-7172	279	6	,	,	PUNCT
easat-7172	279	7	s.	s.	PROPN
easat-7172	279	8	a.	a.	PROPN
easat-7172	279	9	bhat	bhat	PROPN
easat-7172	279	10	,	,	PUNCT
easat-7172	279	11	h.	h.	PROPN
easat-7172	279	12	a.	a.	PROPN
easat-7172	279	13	wahab	wahab	PROPN
easat-7172	279	14	,	,	PUNCT
easat-7172	279	15	m.	m.	PROPN
easat-7172	279	16	e.	e.	PROPN
easat-7172	279	17	camargo	camargo	PROPN
easat-7172	279	18	,	,	PUNCT
easat-7172	279	19	g.	g.	PROPN
easat-7172	279	20	abildinova	abildinova	PROPN
easat-7172	279	21	,	,	PUNCT
easat-7172	279	22	and	and	CCONJ
easat-7172	279	23	z.	z.	PROPN
easat-7172	279	24	zulpykhar	zulpykhar	PROPN
easat-7172	279	25	,	,	PUNCT
easat-7172	279	26	"	"	PUNCT
easat-7172	279	27	a	a	DET
easat-7172	279	28	bio	bio	NOUN
easat-7172	279	29	inspired	inspired	ADJ
easat-7172	279	30	learning	learn	VERB
easat-7172	279	31	scheme	scheme	NOUN
easat-7172	279	32	for	for	ADP
easat-7172	279	33	the	the	DET
easat-7172	279	34	fractional	fractional	ADJ
easat-7172	279	35	order	order	NOUN
easat-7172	279	36	kidney	kidney	NOUN
easat-7172	279	37	function	function	NOUN
easat-7172	279	38	model	model	NOUN
easat-7172	279	39	with	with	ADP
easat-7172	279	40	neural	neural	ADJ
easat-7172	279	41	networks	network	NOUN
easat-7172	279	42	,	,	PUNCT
easat-7172	279	43	"	"	PUNCT
easat-7172	279	44	chaos	chaos	NOUN
easat-7172	279	45	,	,	PUNCT
easat-7172	279	46	solitons	soliton	NOUN
easat-7172	279	47	&	&	CCONJ
easat-7172	279	48	fractals	fractal	NOUN
easat-7172	279	49	,	,	PUNCT
easat-7172	279	50	vol	vol	NOUN
easat-7172	279	51	.	.	NOUN
easat-7172	279	52	180	180	NUM
easat-7172	279	53	,	,	PUNCT
easat-7172	279	54	p.	p.	NOUN
easat-7172	279	55	114562	114562	NUM
easat-7172	279	56	,	,	PUNCT
easat-7172	279	57	2024	2024	NUM
easat-7172	279	58	.	.	PUNCT
easat-7172	280	1	http://dx.doi.org/10.1016/j.chaos.2024.114562	http://dx.doi.org/10.1016/j.chaos.2024.114562	NUM
easat-7172	281	1	[	[	X
easat-7172	281	2	11	11	NUM
easat-7172	281	3	]	]	X
easat-7172	281	4	i.	i.	PROPN
easat-7172	281	5	ali	ali	PROPN
easat-7172	281	6	and	and	CCONJ
easat-7172	281	7	s.	s.	PROPN
easat-7172	281	8	u.	u.	PROPN
easat-7172	281	9	khan	khan	PROPN
easat-7172	281	10	,	,	PUNCT
easat-7172	281	11	"	"	PUNCT
easat-7172	281	12	a	a	DET
easat-7172	281	13	dynamic	dynamic	ADJ
easat-7172	281	14	competition	competition	NOUN
easat-7172	281	15	analysis	analysis	NOUN
easat-7172	281	16	of	of	ADP
easat-7172	281	17	stochastic	stochastic	ADJ
easat-7172	281	18	fractional	fractional	ADJ
easat-7172	281	19	differential	differential	NOUN
easat-7172	281	20	equation	equation	NOUN
easat-7172	281	21	arising	arise	VERB
easat-7172	281	22	in	in	ADP
easat-7172	281	23	finance	finance	NOUN
easat-7172	281	24	via	via	ADP
easat-7172	281	25	pseudospectral	pseudospectral	ADJ
easat-7172	281	26	method	method	NOUN
easat-7172	281	27	,	,	PUNCT
easat-7172	281	28	"	"	PUNCT
easat-7172	281	29	mathematics	mathematic	NOUN
easat-7172	281	30	,	,	PUNCT
easat-7172	281	31	vol	vol	NOUN
easat-7172	281	32	.	.	PROPN
easat-7172	281	33	11	11	NUM
easat-7172	281	34	,	,	PUNCT
easat-7172	281	35	no	no	INTJ
easat-7172	281	36	.	.	NOUN
easat-7172	281	37	6	6	NUM
easat-7172	281	38	,	,	PUNCT
easat-7172	281	39	p.	p.	NOUN
easat-7172	281	40	1328	1328	NUM
easat-7172	281	41	,	,	PUNCT
easat-7172	281	42	2023	2023	NUM
easat-7172	281	43	.	.	PUNCT
easat-7172	282	1	https://doi.org/10.3390/math11061328	https://doi.org/10.3390/math11061328	NOUN
easat-7172	283	1	[	[	X
easat-7172	283	2	12	12	NUM
easat-7172	283	3	]	]	PUNCT
easat-7172	283	4	a.	a.	NOUN
easat-7172	283	5	arikoglu	arikoglu	PROPN
easat-7172	283	6	and	and	CCONJ
easat-7172	283	7	i.	i.	PROPN
easat-7172	283	8	ozkol	ozkol	NOUN
easat-7172	283	9	,	,	PUNCT
easat-7172	283	10	"	"	PUNCT
easat-7172	283	11	solution	solution	NOUN
easat-7172	283	12	of	of	ADP
easat-7172	283	13	fractional	fractional	ADJ
easat-7172	283	14	differential	differential	ADJ
easat-7172	283	15	equations	equation	NOUN
easat-7172	283	16	by	by	ADP
easat-7172	283	17	using	use	VERB
easat-7172	283	18	differential	differential	ADJ
easat-7172	283	19	transform	transform	NOUN
easat-7172	283	20	method	method	NOUN
easat-7172	283	21	,	,	PUNCT
easat-7172	283	22	"	"	PUNCT
easat-7172	283	23	chaos	chaos	NOUN
easat-7172	283	24	,	,	PUNCT
easat-7172	283	25	solitons	soliton	NOUN
easat-7172	283	26	&	&	CCONJ
easat-7172	283	27	fractals	fractal	NOUN
easat-7172	283	28	,	,	PUNCT
easat-7172	283	29	vol	vol	NOUN
easat-7172	283	30	.	.	PROPN
easat-7172	284	1	34	34	NUM
easat-7172	284	2	,	,	PUNCT
easat-7172	284	3	no	no	INTJ
easat-7172	284	4	.	.	NOUN
easat-7172	284	5	5	5	NUM
easat-7172	284	6	,	,	PUNCT
easat-7172	284	7	pp	pp	ADJ
easat-7172	284	8	.	.	PUNCT
easat-7172	285	1	1473	1473	NUM
easat-7172	285	2	-	-	SYM
easat-7172	285	3	1481	1481	NUM
easat-7172	285	4	,	,	PUNCT
easat-7172	285	5	2007	2007	NUM
easat-7172	285	6	.	.	PUNCT
easat-7172	286	1	https://doi.org/10.1016/j.chaos.2006.09.004	https://doi.org/10.1016/j.chaos.2006.09.004	NOUN
easat-7172	286	2	[	[	X
easat-7172	286	3	13	13	NUM
easat-7172	286	4	]	]	PUNCT
easat-7172	286	5	c.	c.	PROPN
easat-7172	286	6	li	li	PROPN
easat-7172	286	7	and	and	CCONJ
easat-7172	286	8	f.	f.	PROPN
easat-7172	286	9	zeng	zeng	PROPN
easat-7172	286	10	,	,	PUNCT
easat-7172	286	11	"	"	PUNCT
easat-7172	286	12	finite	finite	ADJ
easat-7172	286	13	difference	difference	NOUN
easat-7172	286	14	methods	method	NOUN
easat-7172	286	15	for	for	ADP
easat-7172	286	16	fractional	fractional	ADJ
easat-7172	286	17	differential	differential	ADJ
easat-7172	286	18	equations	equation	NOUN
easat-7172	286	19	,	,	PUNCT
easat-7172	286	20	"	"	PUNCT
easat-7172	286	21	international	international	ADJ
easat-7172	286	22	journal	journal	NOUN
easat-7172	286	23	of	of	ADP
easat-7172	286	24	bifurcation	bifurcation	NOUN
easat-7172	286	25	and	and	CCONJ
easat-7172	286	26	chaos	chaos	NOUN
easat-7172	286	27	,	,	PUNCT
easat-7172	286	28	vol	vol	NOUN
easat-7172	286	29	.	.	PROPN
easat-7172	286	30	22	22	NUM
easat-7172	286	31	,	,	PUNCT
easat-7172	286	32	no	no	INTJ
easat-7172	286	33	.	.	NOUN
easat-7172	286	34	04	04	NUM
easat-7172	286	35	,	,	PUNCT
easat-7172	286	36	p.	p.	NOUN
easat-7172	286	37	1230014	1230014	NUM
easat-7172	286	38	,	,	PUNCT
easat-7172	286	39	2012	2012	NUM
easat-7172	286	40	.	.	PUNCT
easat-7172	287	1	http://dx.doi.org/10.1142/s0218127412300145	http://dx.doi.org/10.1142/s0218127412300145	PROPN
easat-7172	288	1	[	[	X
easat-7172	288	2	14	14	NUM
easat-7172	288	3	]	]	PUNCT
easat-7172	288	4	a.	a.	NOUN
easat-7172	288	5	arikoglu	arikoglu	PROPN
easat-7172	288	6	and	and	CCONJ
easat-7172	288	7	i.	i.	PROPN
easat-7172	288	8	ozkol	ozkol	NOUN
easat-7172	288	9	,	,	PUNCT
easat-7172	288	10	"	"	PUNCT
easat-7172	288	11	solution	solution	NOUN
easat-7172	288	12	of	of	ADP
easat-7172	288	13	fractional	fractional	ADJ
easat-7172	288	14	integro	integro	ADJ
easat-7172	288	15	-	-	PUNCT
easat-7172	288	16	differential	differential	NOUN
easat-7172	288	17	equations	equation	NOUN
easat-7172	288	18	by	by	ADP
easat-7172	288	19	using	use	VERB
easat-7172	288	20	fractional	fractional	ADJ
easat-7172	288	21	differential	differential	ADJ
easat-7172	288	22	transform	transform	NOUN
easat-7172	288	23	method	method	NOUN
easat-7172	288	24	,	,	PUNCT
easat-7172	288	25	"	"	PUNCT
easat-7172	288	26	chaos	chaos	NOUN
easat-7172	288	27	,	,	PUNCT
easat-7172	288	28	solitons	soliton	NOUN
easat-7172	288	29	&	&	CCONJ
easat-7172	288	30	fractals	fractal	NOUN
easat-7172	288	31	,	,	PUNCT
easat-7172	288	32	vol	vol	NOUN
easat-7172	288	33	.	.	PROPN
easat-7172	288	34	40	40	NUM
easat-7172	288	35	,	,	PUNCT
easat-7172	288	36	no	no	INTJ
easat-7172	288	37	.	.	NOUN
easat-7172	288	38	2	2	NUM
easat-7172	288	39	,	,	PUNCT
easat-7172	288	40	pp	pp	ADJ
easat-7172	288	41	.	.	PUNCT
easat-7172	289	1	521	521	NUM
easat-7172	289	2	-	-	SYM
easat-7172	289	3	529	529	NUM
easat-7172	289	4	,	,	PUNCT
easat-7172	289	5	2009	2009	NUM
easat-7172	289	6	.	.	PUNCT
easat-7172	290	1	https://doi.org/10.1016/j.chaos.2007.08.001	https://doi.org/10.1016/j.chaos.2007.08.001	PROPN
easat-7172	291	1	[	[	X
easat-7172	291	2	15	15	NUM
easat-7172	291	3	]	]	PUNCT
easat-7172	291	4	a.	a.	NOUN
easat-7172	291	5	akgül	akgül	NOUN
easat-7172	291	6	,	,	PUNCT
easat-7172	291	7	m.	m.	PROPN
easat-7172	291	8	inc	inc	PROPN
easat-7172	291	9	,	,	PUNCT
easat-7172	291	10	e.	e.	PROPN
easat-7172	291	11	karatas	karatas	PROPN
easat-7172	291	12	,	,	PUNCT
easat-7172	291	13	and	and	CCONJ
easat-7172	291	14	d.	d.	PROPN
easat-7172	291	15	baleanu	baleanu	PROPN
easat-7172	291	16	,	,	PUNCT
easat-7172	291	17	"	"	PUNCT
easat-7172	291	18	numerical	numerical	ADJ
easat-7172	291	19	solutions	solution	NOUN
easat-7172	291	20	of	of	ADP
easat-7172	291	21	fractional	fractional	ADJ
easat-7172	291	22	differential	differential	ADJ
easat-7172	291	23	equations	equation	NOUN
easat-7172	291	24	of	of	ADP
easat-7172	291	25	lane	lane	NOUN
easat-7172	291	26	-	-	PUNCT
easat-7172	291	27	emden	emden	NOUN
easat-7172	291	28	type	type	NOUN
easat-7172	291	29	by	by	ADP
easat-7172	291	30	an	an	DET
easat-7172	291	31	accurate	accurate	ADJ
easat-7172	291	32	technique	technique	NOUN
easat-7172	291	33	,	,	PUNCT
easat-7172	291	34	"	"	PUNCT
easat-7172	291	35	advances	advance	NOUN
easat-7172	291	36	in	in	ADP
easat-7172	291	37	difference	difference	NOUN
easat-7172	291	38	equations	equation	NOUN
easat-7172	291	39	,	,	PUNCT
easat-7172	291	40	vol	vol	NOUN
easat-7172	291	41	.	.	PROPN
easat-7172	291	42	2015	2015	NUM
easat-7172	291	43	,	,	PUNCT
easat-7172	291	44	pp	pp	ADJ
easat-7172	291	45	.	.	PUNCT
easat-7172	292	1	1	1	NUM
easat-7172	292	2	-	-	SYM
easat-7172	292	3	12	12	NUM
easat-7172	292	4	,	,	PUNCT
easat-7172	292	5	2015	2015	NUM
easat-7172	292	6	.	.	PUNCT
easat-7172	293	1	https://doi.org/10.1186/s13662-015-0558-8	https://doi.org/10.1186/s13662-015-0558-8	NUM
easat-7172	294	1	[	[	X
easat-7172	294	2	16	16	NUM
easat-7172	294	3	]	]	PUNCT
easat-7172	294	4	s.	s.	PROPN
easat-7172	294	5	ferson	ferson	PROPN
easat-7172	294	6	,	,	PUNCT
easat-7172	294	7	v.	v.	ADP
easat-7172	294	8	kreinovich	kreinovich	PROPN
easat-7172	294	9	,	,	PUNCT
easat-7172	294	10	j.	j.	PROPN
easat-7172	294	11	hajagos	hajagos	PROPN
easat-7172	294	12	,	,	PUNCT
easat-7172	294	13	w.	w.	PROPN
easat-7172	294	14	l.	l.	PROPN
easat-7172	294	15	oberkampf	oberkampf	PROPN
easat-7172	294	16	,	,	PUNCT
easat-7172	294	17	and	and	CCONJ
easat-7172	294	18	l.	l.	PROPN
easat-7172	294	19	ginzburg	ginzburg	PROPN
easat-7172	294	20	,	,	PUNCT
easat-7172	294	21	"	"	PUNCT
easat-7172	294	22	experimental	experimental	ADJ
easat-7172	294	23	uncertainty	uncertainty	NOUN
easat-7172	294	24	estimation	estimation	NOUN
easat-7172	294	25	and	and	CCONJ
easat-7172	294	26	statistics	statistic	NOUN
easat-7172	294	27	for	for	ADP
easat-7172	294	28	data	datum	NOUN
easat-7172	294	29	having	have	VERB
easat-7172	294	30	interval	interval	NOUN
easat-7172	294	31	uncertainty	uncertainty	NOUN
easat-7172	294	32	,	,	PUNCT
easat-7172	294	33	"	"	PUNCT
easat-7172	294	34	sandia	sandia	PROPN
easat-7172	294	35	national	national	ADJ
easat-7172	294	36	laboratories	laboratory	NOUN
easat-7172	294	37	(	(	PUNCT
easat-7172	294	38	snl	snl	PROPN
easat-7172	294	39	)	)	PUNCT
easat-7172	294	40	,	,	PUNCT
easat-7172	294	41	albuquerque	albuquerque	NOUN
easat-7172	294	42	,	,	PUNCT
easat-7172	294	43	nm	nm	PROPN
easat-7172	294	44	,	,	PUNCT
easat-7172	294	45	and	and	CCONJ
easat-7172	294	46	livermore	livermore	PROPN
easat-7172	294	47	,	,	PUNCT
easat-7172	294	48	ca	ca	PROPN
easat-7172	294	49	.	.	PUNCT
easat-7172	295	1	https://doi.org/10.2172/910198	https://doi.org/10.2172/910198	PROPN
easat-7172	295	2	,	,	PUNCT
easat-7172	295	3	2007	2007	NUM
easat-7172	295	4	.	.	PUNCT
easat-7172	296	1	[	[	X
easat-7172	296	2	17	17	NUM
easat-7172	296	3	]	]	X
easat-7172	296	4	l.	l.	PROPN
easat-7172	296	5	a.	a.	PROPN
easat-7172	296	6	zadeh	zadeh	PROPN
easat-7172	296	7	,	,	PUNCT
easat-7172	296	8	"	"	PUNCT
easat-7172	296	9	fuzzy	fuzzy	ADJ
easat-7172	296	10	sets	set	NOUN
easat-7172	296	11	,	,	PUNCT
easat-7172	296	12	"	"	PUNCT
easat-7172	296	13	information	information	NOUN
easat-7172	296	14	and	and	CCONJ
easat-7172	296	15	control	control	NOUN
easat-7172	296	16	,	,	PUNCT
easat-7172	296	17	vol	vol	NOUN
easat-7172	296	18	.	.	PROPN
easat-7172	296	19	8	8	NUM
easat-7172	296	20	,	,	PUNCT
easat-7172	296	21	no	no	INTJ
easat-7172	296	22	.	.	NOUN
easat-7172	296	23	3	3	NUM
easat-7172	296	24	,	,	PUNCT
easat-7172	296	25	pp	pp	ADJ
easat-7172	296	26	.	.	PUNCT
easat-7172	297	1	338	338	NUM
easat-7172	297	2	-	-	SYM
easat-7172	297	3	353	353	NUM
easat-7172	297	4	,	,	PUNCT
easat-7172	297	5	1965	1965	NUM
easat-7172	297	6	.	.	PUNCT
easat-7172	298	1	https://doi.org/10.1016/s00199958(65)90241-x	https://doi.org/10.1016/s00199958(65)90241-x	X
easat-7172	299	1	[	[	X
easat-7172	299	2	18	18	NUM
easat-7172	299	3	]	]	PUNCT
easat-7172	299	4	k.	k.	PROPN
easat-7172	299	5	atanassov	atanassov	PROPN
easat-7172	299	6	,	,	PUNCT
easat-7172	299	7	"	"	PUNCT
easat-7172	299	8	intuitionistic	intuitionistic	ADJ
easat-7172	299	9	fuzzy	fuzzy	ADJ
easat-7172	299	10	sets	set	NOUN
easat-7172	299	11	,	,	PUNCT
easat-7172	299	12	"	"	PUNCT
easat-7172	299	13	international	international	ADJ
easat-7172	299	14	journal	journal	PROPN
easat-7172	299	15	bioautomation	bioautomation	PROPN
easat-7172	299	16	,	,	PUNCT
easat-7172	299	17	vol	vol	NOUN
easat-7172	299	18	.	.	PROPN
easat-7172	299	19	20	20	NUM
easat-7172	299	20	,	,	PUNCT
easat-7172	299	21	p.	p.	NOUN
easat-7172	299	22	1	1	NUM
easat-7172	299	23	,	,	PUNCT
easat-7172	299	24	2016	2016	NUM
easat-7172	299	25	.	.	PUNCT
easat-7172	300	1	[	[	X
easat-7172	300	2	19	19	NUM
easat-7172	300	3	]	]	X
easat-7172	300	4	v.	v.	ADP
easat-7172	300	5	khatibi	khatibi	NOUN
easat-7172	300	6	and	and	CCONJ
easat-7172	300	7	g.	g.	PROPN
easat-7172	300	8	a.	a.	PROPN
easat-7172	300	9	montazer	montazer	PROPN
easat-7172	300	10	,	,	PUNCT
easat-7172	300	11	"	"	PUNCT
easat-7172	300	12	intuitionistic	intuitionistic	ADJ
easat-7172	300	13	fuzzy	fuzzy	ADJ
easat-7172	300	14	set	set	NOUN
easat-7172	300	15	vs.	vs.	ADP
easat-7172	300	16	fuzzy	fuzzy	ADJ
easat-7172	300	17	set	set	VERB
easat-7172	300	18	application	application	NOUN
easat-7172	300	19	in	in	ADP
easat-7172	300	20	medical	medical	ADJ
easat-7172	300	21	pattern	pattern	NOUN
easat-7172	300	22	recognition	recognition	NOUN
easat-7172	300	23	,	,	PUNCT
easat-7172	300	24	"	"	PUNCT
easat-7172	300	25	artificial	artificial	ADJ
easat-7172	300	26	intelligence	intelligence	NOUN
easat-7172	300	27	in	in	ADP
easat-7172	300	28	medicine	medicine	NOUN
easat-7172	300	29	,	,	PUNCT
easat-7172	300	30	vol	vol	NOUN
easat-7172	300	31	.	.	PROPN
easat-7172	301	1	47	47	NUM
easat-7172	301	2	,	,	PUNCT
easat-7172	301	3	no	no	INTJ
easat-7172	301	4	.	.	NOUN
easat-7172	301	5	1	1	NUM
easat-7172	301	6	,	,	PUNCT
easat-7172	301	7	pp	pp	ADJ
easat-7172	301	8	.	.	PUNCT
easat-7172	302	1	43	43	NUM
easat-7172	302	2	-	-	SYM
easat-7172	302	3	52	52	NUM
easat-7172	302	4	,	,	PUNCT
easat-7172	302	5	2009	2009	NUM
easat-7172	302	6	.	.	PUNCT
easat-7172	303	1	https://doi.org/10.1016/j.artmed.2009.03.002	https://doi.org/10.1016/j.artmed.2009.03.002	PROPN
easat-7172	303	2	[	[	X
easat-7172	303	3	20	20	NUM
easat-7172	303	4	]	]	PUNCT
easat-7172	303	5	k.	k.	PROPN
easat-7172	303	6	guo	guo	PROPN
easat-7172	303	7	,	,	PUNCT
easat-7172	303	8	"	"	PUNCT
easat-7172	303	9	knowledge	knowledge	NOUN
easat-7172	303	10	measure	measure	NOUN
easat-7172	303	11	for	for	ADP
easat-7172	303	12	atanassov	atanassov	NOUN
easat-7172	303	13	's	's	PART
easat-7172	303	14	intuitionistic	intuitionistic	ADJ
easat-7172	303	15	fuzzy	fuzzy	ADJ
easat-7172	303	16	sets	set	NOUN
easat-7172	303	17	,	,	PUNCT
easat-7172	303	18	"	"	PUNCT
easat-7172	303	19	ieee	ieee	NOUN
easat-7172	303	20	transactions	transaction	NOUN
easat-7172	303	21	on	on	ADP
easat-7172	303	22	fuzzy	fuzzy	ADJ
easat-7172	303	23	systems	system	NOUN
easat-7172	303	24	,	,	PUNCT
easat-7172	303	25	vol	vol	NOUN
easat-7172	303	26	.	.	PROPN
easat-7172	304	1	24	24	NUM
easat-7172	304	2	,	,	PUNCT
easat-7172	304	3	no	no	INTJ
easat-7172	304	4	.	.	NOUN
easat-7172	304	5	5	5	NUM
easat-7172	304	6	,	,	PUNCT
easat-7172	304	7	pp	pp	ADJ
easat-7172	304	8	.	.	PUNCT
easat-7172	305	1	1072	1072	NUM
easat-7172	305	2	-	-	SYM
easat-7172	305	3	1078	1078	NUM
easat-7172	305	4	,	,	PUNCT
easat-7172	305	5	2015	2015	NUM
easat-7172	305	6	.	.	PUNCT
easat-7172	306	1	https://doi.org/10.1109/tfuzz.2015.2501434	https://doi.org/10.1109/tfuzz.2015.2501434	PROPN
easat-7172	307	1	[	[	X
easat-7172	307	2	21	21	NUM
easat-7172	307	3	]	]	X
easat-7172	307	4	a.	a.	NOUN
easat-7172	307	5	salama	salama	PROPN
easat-7172	307	6	and	and	CCONJ
easat-7172	307	7	s.	s.	PROPN
easat-7172	307	8	alblowi	alblowi	PROPN
easat-7172	307	9	,	,	PUNCT
easat-7172	307	10	"	"	PUNCT
easat-7172	307	11	neutrosophic	neutrosophic	ADJ
easat-7172	307	12	set	set	NOUN
easat-7172	307	13	and	and	CCONJ
easat-7172	307	14	neutrosophic	neutrosophic	ADJ
easat-7172	307	15	topological	topological	ADJ
easat-7172	307	16	spaces	space	NOUN
easat-7172	307	17	,	,	PUNCT
easat-7172	307	18	"	"	PUNCT
easat-7172	307	19	2012	2012	NUM
easat-7172	307	20	.	.	PUNCT
easat-7172	308	1	[	[	X
easat-7172	308	2	22	22	NUM
easat-7172	308	3	]	]	PUNCT
easat-7172	308	4	h.	h.	PROPN
easat-7172	308	5	wang	wang	PROPN
easat-7172	308	6	,	,	PUNCT
easat-7172	308	7	f.	f.	PROPN
easat-7172	308	8	smarandache	smarandache	PROPN
easat-7172	308	9	,	,	PUNCT
easat-7172	308	10	y.	y.	PROPN
easat-7172	308	11	zhang	zhang	PROPN
easat-7172	308	12	,	,	PUNCT
easat-7172	308	13	and	and	CCONJ
easat-7172	308	14	r.	r.	PROPN
easat-7172	308	15	sunderraman	sunderraman	PROPN
easat-7172	308	16	,	,	PUNCT
easat-7172	308	17	single	single	ADJ
easat-7172	308	18	valued	value	VERB
easat-7172	308	19	neutrosophic	neutrosophic	ADJ
easat-7172	308	20	sets	set	NOUN
easat-7172	308	21	.	.	PUNCT
easat-7172	309	1	infinite	infinite	ADJ
easat-7172	309	2	study	study	NOUN
easat-7172	309	3	,	,	PUNCT
easat-7172	309	4	2010	2010	NUM
easat-7172	309	5	.	.	PUNCT
easat-7172	310	1	[	[	X
easat-7172	310	2	23	23	NUM
easat-7172	310	3	]	]	PUNCT
easat-7172	310	4	t.	t.	PROPN
easat-7172	310	5	basuri	basuri	PROPN
easat-7172	310	6	,	,	PUNCT
easat-7172	310	7	k.	k.	PROPN
easat-7172	310	8	h.	h.	PROPN
easat-7172	310	9	gazi	gazi	PROPN
easat-7172	310	10	,	,	PUNCT
easat-7172	310	11	p.	p.	PROPN
easat-7172	310	12	bhaduri	bhaduri	PROPN
easat-7172	310	13	,	,	PUNCT
easat-7172	310	14	s.	s.	PROPN
easat-7172	310	15	g.	g.	PROPN
easat-7172	310	16	das	das	PROPN
easat-7172	310	17	,	,	PUNCT
easat-7172	310	18	and	and	CCONJ
easat-7172	310	19	s.	s.	PROPN
easat-7172	310	20	p.	p.	PROPN
easat-7172	310	21	mondal	mondal	PROPN
easat-7172	310	22	,	,	PUNCT
easat-7172	310	23	"	"	PUNCT
easat-7172	310	24	decision	decision	NOUN
easat-7172	310	25	-	-	PUNCT
easat-7172	310	26	analytics	analytic	NOUN
easat-7172	310	27	-	-	PUNCT
easat-7172	310	28	based	base	VERB
easat-7172	310	29	sustainable	sustainable	ADJ
easat-7172	310	30	location	location	NOUN
easat-7172	310	31	problem	problem	NOUN
easat-7172	310	32	-	-	PUNCT
easat-7172	310	33	neutrosophic	neutrosophic	ADJ
easat-7172	310	34	critic	critic	NOUN
easat-7172	310	35	-	-	PUNCT
easat-7172	310	36	copras	copras	PROPN
easat-7172	310	37	assessment	assessment	NOUN
easat-7172	310	38	model	model	NOUN
easat-7172	310	39	,	,	PUNCT
easat-7172	310	40	"	"	PUNCT
easat-7172	310	41	management	management	NOUN
easat-7172	310	42	science	science	NOUN
easat-7172	310	43	advances	advance	NOUN
easat-7172	310	44	,	,	PUNCT
easat-7172	310	45	vol	vol	NOUN
easat-7172	310	46	.	.	PROPN
easat-7172	310	47	2	2	NUM
easat-7172	310	48	,	,	PUNCT
easat-7172	310	49	no	no	INTJ
easat-7172	310	50	.	.	NOUN
easat-7172	310	51	1	1	NUM
easat-7172	310	52	,	,	PUNCT
easat-7172	310	53	pp	pp	ADJ
easat-7172	310	54	.	.	PUNCT
easat-7172	311	1	19	19	NUM
easat-7172	311	2	-	-	SYM
easat-7172	311	3	58	58	NUM
easat-7172	311	4	,	,	PUNCT
easat-7172	311	5	2025	2025	NUM
easat-7172	311	6	.	.	PUNCT
easat-7172	312	1	https://doi.org/10.31181/msa2120257	https://doi.org/10.31181/msa2120257	NOUN
easat-7172	312	2	[	[	X
easat-7172	312	3	24	24	NUM
easat-7172	312	4	]	]	PUNCT
easat-7172	312	5	a.	a.	PROPN
easat-7172	312	6	biswas	biswas	PROPN
easat-7172	312	7	,	,	PUNCT
easat-7172	312	8	k.	k.	PROPN
easat-7172	312	9	h.	h.	PROPN
easat-7172	312	10	gazi	gazi	PROPN
easat-7172	312	11	,	,	PUNCT
easat-7172	312	12	p.	p.	NOUN
easat-7172	312	13	bhaduri	bhaduri	NOUN
easat-7172	312	14	,	,	PUNCT
easat-7172	312	15	and	and	CCONJ
easat-7172	312	16	s.	s.	PROPN
easat-7172	312	17	p.	p.	PROPN
easat-7172	312	18	mondal	mondal	PROPN
easat-7172	312	19	,	,	PUNCT
easat-7172	312	20	"	"	PUNCT
easat-7172	312	21	neutrosophic	neutrosophic	ADJ
easat-7172	312	22	fuzzy	fuzzy	ADJ
easat-7172	312	23	decision	decision	NOUN
easat-7172	312	24	-	-	PUNCT
easat-7172	312	25	making	make	VERB
easat-7172	312	26	framework	framework	NOUN
easat-7172	312	27	for	for	ADP
easat-7172	312	28	site	site	NOUN
easat-7172	312	29	selection	selection	NOUN
easat-7172	312	30	,	,	PUNCT
easat-7172	312	31	"	"	PUNCT
easat-7172	312	32	journal	journal	NOUN
easat-7172	312	33	of	of	ADP
easat-7172	312	34	decision	decision	NOUN
easat-7172	312	35	analytics	analytic	NOUN
easat-7172	312	36	and	and	CCONJ
easat-7172	312	37	intelligent	intelligent	ADJ
easat-7172	312	38	computing	computing	NOUN
easat-7172	312	39	,	,	PUNCT
easat-7172	312	40	vol	vol	NOUN
easat-7172	312	41	.	.	PROPN
easat-7172	313	1	4	4	NUM
easat-7172	313	2	,	,	PUNCT
easat-7172	313	3	no	no	INTJ
easat-7172	313	4	.	.	NOUN
easat-7172	313	5	1	1	NUM
easat-7172	313	6	,	,	PUNCT
easat-7172	313	7	pp	pp	ADJ
easat-7172	313	8	.	.	PUNCT
easat-7172	314	1	187	187	NUM
easat-7172	314	2	-	-	SYM
easat-7172	314	3	215	215	NUM
easat-7172	314	4	,	,	PUNCT
easat-7172	314	5	2024	2024	NUM
easat-7172	314	6	.	.	PUNCT
easat-7172	315	1	https://doi.org/10.31181/jdaic10004122024b	https://doi.org/10.31181/jdaic10004122024b	NOUN
easat-7172	315	2	[	[	X
easat-7172	315	3	25	25	NUM
easat-7172	315	4	]	]	PUNCT
easat-7172	315	5	a.	a.	NOUN
easat-7172	315	6	acharya	acharya	PROPN
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easat-7172	315	8	al	al	PROPN
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easat-7172	315	10	,	,	PUNCT
easat-7172	315	11	"	"	PUNCT
easat-7172	315	12	stability	stability	NOUN
easat-7172	315	13	analysis	analysis	NOUN
easat-7172	315	14	of	of	ADP
easat-7172	315	15	diabetes	diabetes	NOUN
easat-7172	315	16	mellitus	mellitus	NOUN
easat-7172	315	17	model	model	PROPN
easat-7172	315	18	in	in	ADP
easat-7172	315	19	neutrosophic	neutrosophic	ADJ
easat-7172	315	20	fuzzy	fuzzy	ADJ
easat-7172	315	21	environment	environment	NOUN
easat-7172	315	22	,	,	PUNCT
easat-7172	315	23	"	"	PUNCT
easat-7172	315	24	franklin	franklin	PROPN
easat-7172	315	25	open	open	PROPN
easat-7172	315	26	,	,	PUNCT
easat-7172	315	27	vol	vol	NOUN
easat-7172	315	28	.	.	PROPN
easat-7172	315	29	8	8	NUM
easat-7172	315	30	,	,	PUNCT
easat-7172	315	31	p.	p.	NOUN
easat-7172	315	32	100144	100144	NUM
easat-7172	315	33	,	,	PUNCT
easat-7172	315	34	2024	2024	NUM
easat-7172	315	35	.	.	PUNCT
easat-7172	316	1	[	[	X
easat-7172	316	2	26	26	NUM
easat-7172	316	3	]	]	X
easat-7172	316	4	r.	r.	PROPN
easat-7172	316	5	haque	haque	PROPN
easat-7172	316	6	,	,	PUNCT
easat-7172	316	7	m.	m.	NOUN
easat-7172	316	8	rahaman	rahaman	NOUN
easat-7172	316	9	,	,	PUNCT
easat-7172	316	10	s.	s.	PROPN
easat-7172	316	11	alam	alam	PROPN
easat-7172	316	12	,	,	PUNCT
easat-7172	316	13	p.	p.	PROPN
easat-7172	316	14	k.	k.	PROPN
easat-7172	316	15	behera	behera	PROPN
easat-7172	316	16	,	,	PUNCT
easat-7172	316	17	and	and	CCONJ
easat-7172	316	18	s.	s.	PROPN
easat-7172	316	19	p.	p.	PROPN
easat-7172	316	20	mondal	mondal	PROPN
easat-7172	316	21	,	,	PUNCT
easat-7172	316	22	"	"	PUNCT
easat-7172	316	23	generalized	generalize	VERB
easat-7172	316	24	neutrosophic	neutrosophic	ADJ
easat-7172	316	25	laplace	laplace	NOUN
easat-7172	316	26	transform	transform	NOUN
easat-7172	316	27	and	and	CCONJ
easat-7172	316	28	its	its	PRON
easat-7172	316	29	application	application	NOUN
easat-7172	316	30	in	in	ADP
easat-7172	316	31	an	an	DET
easat-7172	316	32	eoq	eoq	NOUN
easat-7172	316	33	model	model	NOUN
easat-7172	316	34	with	with	ADP
easat-7172	316	35	price	price	NOUN
easat-7172	316	36	and	and	CCONJ
easat-7172	316	37	deterioration	deterioration	NOUN
easat-7172	316	38	-	-	PUNCT
easat-7172	316	39	dependent	dependent	ADJ
easat-7172	316	40	demand	demand	NOUN
easat-7172	316	41	,	,	PUNCT
easat-7172	316	42	"	"	PUNCT
easat-7172	316	43	opsearch	opsearch	NOUN
easat-7172	316	44	,	,	PUNCT
easat-7172	316	45	pp	pp	ADJ
easat-7172	316	46	.	.	PUNCT
easat-7172	317	1	1	1	NUM
easat-7172	317	2	-	-	SYM
easat-7172	317	3	33	33	NUM
easat-7172	317	4	,	,	PUNCT
easat-7172	317	5	2024	2024	NUM
easat-7172	317	6	.	.	PUNCT
easat-7172	318	1	https://doi.org/10.1007/s12597-024-00803-y	https://doi.org/10.1007/s12597-024-00803-y	NOUN
easat-7172	318	2	[	[	X
easat-7172	318	3	27	27	NUM
easat-7172	318	4	]	]	PUNCT
easat-7172	318	5	m.	m.	NOUN
easat-7172	318	6	karak	karak	PROPN
easat-7172	318	7	et	et	PROPN
easat-7172	318	8	al	al	PROPN
easat-7172	318	9	.	.	PROPN
easat-7172	318	10	,	,	PUNCT
easat-7172	318	11	"	"	PUNCT
easat-7172	318	12	a	a	DET
easat-7172	318	13	solution	solution	NOUN
easat-7172	318	14	technique	technique	NOUN
easat-7172	318	15	of	of	ADP
easat-7172	318	16	transportation	transportation	NOUN
easat-7172	318	17	problem	problem	NOUN
easat-7172	318	18	in	in	ADP
easat-7172	318	19	neutrosophic	neutrosophic	ADJ
easat-7172	318	20	environment	environment	NOUN
easat-7172	318	21	,	,	PUNCT
easat-7172	318	22	"	"	PUNCT
easat-7172	318	23	neutrosophic	neutrosophic	ADJ
easat-7172	318	24	systems	system	NOUN
easat-7172	318	25	with	with	ADP
easat-7172	318	26	applications	application	NOUN
easat-7172	318	27	,	,	PUNCT
easat-7172	318	28	vol	vol	NOUN
easat-7172	318	29	.	.	PROPN
easat-7172	318	30	3	3	NUM
easat-7172	318	31	,	,	PUNCT
easat-7172	318	32	pp	pp	ADJ
easat-7172	318	33	.	.	PUNCT
easat-7172	319	1	17	17	NUM
easat-7172	319	2	-	-	SYM
easat-7172	319	3	34	34	NUM
easat-7172	319	4	,	,	PUNCT
easat-7172	319	5	2023	2023	NUM
easat-7172	319	6	.	.	PUNCT
easat-7172	320	1	https://doi.org/10.61356/j.nswa.2023.5	https://doi.org/10.61356/j.nswa.2023.5	X
easat-7172	321	1	[	[	X
easat-7172	321	2	28	28	NUM
easat-7172	321	3	]	]	PUNCT
easat-7172	321	4	t.	t.	PROPN
easat-7172	321	5	s.	s.	PROPN
easat-7172	321	6	lakhwani	lakhwani	PROPN
easat-7172	321	7	,	,	PUNCT
easat-7172	321	8	k.	k.	PROPN
easat-7172	321	9	mohanta	mohanta	PROPN
easat-7172	321	10	,	,	PUNCT
easat-7172	321	11	a.	a.	NOUN
easat-7172	321	12	dey	dey	PROPN
easat-7172	321	13	,	,	PUNCT
easat-7172	321	14	s.	s.	PROPN
easat-7172	321	15	p.	p.	PROPN
easat-7172	321	16	mondal	mondal	PROPN
easat-7172	321	17	,	,	PUNCT
easat-7172	321	18	and	and	CCONJ
easat-7172	321	19	a.	a.	NOUN
easat-7172	321	20	pal	pal	NOUN
easat-7172	321	21	,	,	PUNCT
easat-7172	321	22	"	"	PUNCT
easat-7172	321	23	some	some	DET
easat-7172	321	24	operations	operation	NOUN
easat-7172	321	25	on	on	ADP
easat-7172	321	26	dombi	dombi	PROPN
easat-7172	321	27	neutrosophic	neutrosophic	ADJ
easat-7172	321	28	graph	graph	NOUN
easat-7172	321	29	,	,	PUNCT
easat-7172	321	30	"	"	PUNCT
easat-7172	321	31	journal	journal	NOUN
easat-7172	321	32	of	of	ADP
easat-7172	321	33	ambient	ambient	ADJ
easat-7172	321	34	intelligence	intelligence	NOUN
easat-7172	321	35	and	and	CCONJ
easat-7172	321	36	humanized	humanize	VERB
easat-7172	321	37	computing	computing	NOUN
easat-7172	321	38	,	,	PUNCT
easat-7172	321	39	pp	pp	ADJ
easat-7172	321	40	.	.	PUNCT
easat-7172	322	1	1	1	NUM
easat-7172	322	2	-	-	SYM
easat-7172	322	3	19	19	NUM
easat-7172	322	4	,	,	PUNCT
easat-7172	322	5	2022	2022	NUM
easat-7172	322	6	.	.	PUNCT
easat-7172	323	1	https://doi.org/10.1007/s12652-021-029093	https://doi.org/10.1007/s12652-021-029093	PRON
easat-7172	324	1	[	[	X
easat-7172	324	2	29	29	NUM
easat-7172	324	3	]	]	X
easat-7172	324	4	o.	o.	PROPN
easat-7172	324	5	kaleva	kaleva	PROPN
easat-7172	324	6	,	,	PUNCT
easat-7172	324	7	"	"	PUNCT
easat-7172	324	8	fuzzy	fuzzy	ADJ
easat-7172	324	9	differential	differential	NOUN
easat-7172	324	10	equations	equation	NOUN
easat-7172	324	11	,	,	PUNCT
easat-7172	324	12	"	"	PUNCT
easat-7172	324	13	fuzzy	fuzzy	ADJ
easat-7172	324	14	sets	set	NOUN
easat-7172	324	15	and	and	CCONJ
easat-7172	324	16	systems	system	NOUN
easat-7172	324	17	,	,	PUNCT
easat-7172	324	18	vol	vol	NOUN
easat-7172	324	19	.	.	PROPN
easat-7172	325	1	24	24	NUM
easat-7172	325	2	,	,	PUNCT
easat-7172	325	3	no	no	INTJ
easat-7172	325	4	.	.	NOUN
easat-7172	325	5	3	3	NUM
easat-7172	325	6	,	,	PUNCT
easat-7172	325	7	pp	pp	ADJ
easat-7172	325	8	.	.	PUNCT
easat-7172	326	1	301	301	NUM
easat-7172	326	2	-	-	SYM
easat-7172	326	3	317	317	NUM
easat-7172	326	4	,	,	PUNCT
easat-7172	326	5	1987	1987	NUM
easat-7172	326	6	.	.	PUNCT
easat-7172	327	1	https://doi.org/10.1016/0165-0114(87)90029-7	https://doi.org/10.1016/0165-0114(87)90029-7	PROPN
easat-7172	327	2	[	[	X
easat-7172	327	3	30	30	NUM
easat-7172	327	4	]	]	X
easat-7172	327	5	j.	j.	PROPN
easat-7172	327	6	j.	j.	PROPN
easat-7172	327	7	buckley	buckley	PROPN
easat-7172	327	8	and	and	CCONJ
easat-7172	327	9	t.	t.	PROPN
easat-7172	327	10	feuring	feuring	PROPN
easat-7172	327	11	,	,	PUNCT
easat-7172	327	12	"	"	PUNCT
easat-7172	327	13	fuzzy	fuzzy	ADJ
easat-7172	327	14	differential	differential	NOUN
easat-7172	327	15	equations	equation	NOUN
easat-7172	327	16	,	,	PUNCT
easat-7172	327	17	"	"	PUNCT
easat-7172	327	18	fuzzy	fuzzy	ADJ
easat-7172	327	19	sets	set	NOUN
easat-7172	327	20	and	and	CCONJ
easat-7172	327	21	systems	system	NOUN
easat-7172	327	22	,	,	PUNCT
easat-7172	327	23	vol	vol	NOUN
easat-7172	327	24	.	.	PROPN
easat-7172	327	25	110	110	NUM
easat-7172	327	26	,	,	PUNCT
easat-7172	327	27	no	no	INTJ
easat-7172	327	28	.	.	NOUN
easat-7172	327	29	1	1	NUM
easat-7172	327	30	,	,	PUNCT
easat-7172	327	31	pp	pp	ADJ
easat-7172	327	32	.	.	PUNCT
easat-7172	328	1	43	43	NUM
easat-7172	328	2	-	-	SYM
easat-7172	328	3	54	54	NUM
easat-7172	328	4	,	,	PUNCT
easat-7172	328	5	2000	2000	NUM
easat-7172	328	6	.	.	PUNCT
easat-7172	329	1	https://doi.org/10.1016/s0165-0114(98)00141-9	https://doi.org/10.1016/s0165-0114(98)00141-9	VERB
easat-7172	330	1	[	[	X
easat-7172	330	2	31	31	NUM
easat-7172	330	3	]	]	PUNCT
easat-7172	330	4	s.	s.	PROPN
easat-7172	330	5	chakraverty	chakraverty	PROPN
easat-7172	330	6	,	,	PUNCT
easat-7172	330	7	s.	s.	PROPN
easat-7172	330	8	tapaswini	tapaswini	PROPN
easat-7172	330	9	,	,	PUNCT
easat-7172	330	10	and	and	CCONJ
easat-7172	330	11	d.	d.	PROPN
easat-7172	330	12	behera	behera	PROPN
easat-7172	330	13	,	,	PUNCT
easat-7172	330	14	fuzzy	fuzzy	ADJ
easat-7172	330	15	differential	differential	ADJ
easat-7172	330	16	equations	equation	NOUN
easat-7172	330	17	and	and	CCONJ
easat-7172	330	18	applications	application	NOUN
easat-7172	330	19	for	for	ADP
easat-7172	330	20	engineers	engineer	NOUN
easat-7172	330	21	and	and	CCONJ
easat-7172	330	22	scientists	scientist	NOUN
easat-7172	330	23	.	.	PUNCT
easat-7172	331	1	crc	crc	PROPN
easat-7172	331	2	press	press	PROPN
easat-7172	331	3	,	,	PUNCT
easat-7172	331	4	2016	2016	NUM
easat-7172	331	5	.	.	PUNCT
easat-7172	332	1	[	[	X
easat-7172	332	2	32	32	NUM
easat-7172	332	3	]	]	PUNCT
easat-7172	332	4	a.	a.	NOUN
easat-7172	332	5	bandyopadhyay	bandyopadhyay	NOUN
easat-7172	332	6	and	and	CCONJ
easat-7172	332	7	s.	s.	PROPN
easat-7172	332	8	kar	kar	PROPN
easat-7172	332	9	,	,	PUNCT
easat-7172	332	10	"	"	PUNCT
easat-7172	332	11	system	system	NOUN
easat-7172	332	12	of	of	ADP
easat-7172	332	13	type-2	type-2	NUM
easat-7172	332	14	fuzzy	fuzzy	ADJ
easat-7172	332	15	differential	differential	NOUN
easat-7172	332	16	equations	equation	NOUN
easat-7172	332	17	and	and	CCONJ
easat-7172	332	18	its	its	PRON
easat-7172	332	19	applications	application	NOUN
easat-7172	332	20	,	,	PUNCT
easat-7172	332	21	"	"	PUNCT
easat-7172	332	22	neural	neural	ADJ
easat-7172	332	23	computing	computing	NOUN
easat-7172	332	24	and	and	CCONJ
easat-7172	332	25	applications	application	NOUN
easat-7172	332	26	,	,	PUNCT
easat-7172	332	27	vol	vol	NOUN
easat-7172	332	28	.	.	PROPN
easat-7172	332	29	31	31	NUM
easat-7172	332	30	,	,	PUNCT
easat-7172	332	31	no	no	INTJ
easat-7172	332	32	.	.	NOUN
easat-7172	332	33	9	9	NUM
easat-7172	332	34	,	,	PUNCT
easat-7172	332	35	pp	pp	ADJ
easat-7172	332	36	.	.	PUNCT
easat-7172	332	37	5563	5563	NUM
easat-7172	332	38	-	-	SYM
easat-7172	332	39	5593	5593	NUM
easat-7172	332	40	,	,	PUNCT
easat-7172	332	41	2019	2019	NUM
easat-7172	332	42	.	.	PUNCT
easat-7172	333	1	https://doi.org/10.1007/s00521-018-3380-x	https://doi.org/10.1007/s00521-018-3380-x	VERB
easat-7172	333	2	[	[	X
easat-7172	333	3	33	33	NUM
easat-7172	333	4	]	]	PUNCT
easat-7172	333	5	s.	s.	PROPN
easat-7172	333	6	salahshour	salahshour	PROPN
easat-7172	333	7	,	,	PUNCT
easat-7172	333	8	t.	t.	NOUN
easat-7172	333	9	allahviranloo	allahviranloo	NOUN
easat-7172	333	10	,	,	PUNCT
easat-7172	333	11	and	and	CCONJ
easat-7172	333	12	s.	s.	PROPN
easat-7172	333	13	abbasbandy	abbasbandy	PROPN
easat-7172	333	14	,	,	PUNCT
easat-7172	333	15	"	"	PUNCT
easat-7172	333	16	solving	solve	VERB
easat-7172	333	17	fuzzy	fuzzy	ADJ
easat-7172	333	18	fractional	fractional	ADJ
easat-7172	333	19	differential	differential	ADJ
easat-7172	333	20	equations	equation	NOUN
easat-7172	333	21	by	by	ADP
easat-7172	333	22	fuzzy	fuzzy	ADJ
easat-7172	333	23	laplace	laplace	NOUN
easat-7172	333	24	transforms	transform	VERB
easat-7172	333	25	,	,	PUNCT
easat-7172	333	26	"	"	PUNCT
easat-7172	333	27	communications	communication	NOUN
easat-7172	333	28	in	in	ADP
easat-7172	333	29	nonlinear	nonlinear	ADJ
easat-7172	333	30	science	science	NOUN
easat-7172	333	31	and	and	CCONJ
easat-7172	333	32	numerical	numerical	PROPN
easat-7172	333	33	simulation	simulation	PROPN
easat-7172	333	34	,	,	PUNCT
easat-7172	333	35	vol	vol	NOUN
easat-7172	333	36	.	.	PROPN
easat-7172	333	37	17	17	NUM
easat-7172	333	38	,	,	PUNCT
easat-7172	333	39	no	no	INTJ
easat-7172	333	40	.	.	NOUN
easat-7172	334	1	3	3	NUM
easat-7172	334	2	,	,	PUNCT
easat-7172	334	3	pp	pp	ADJ
easat-7172	334	4	.	.	PUNCT
easat-7172	335	1	1372	1372	NUM
easat-7172	335	2	-	-	SYM
easat-7172	335	3	1381	1381	NUM
easat-7172	335	4	,	,	PUNCT
easat-7172	335	5	2012	2012	NUM
easat-7172	335	6	.	.	PUNCT
easat-7172	336	1	https://doi.org/10.1016/j.cnsns.2011.07.005	https://doi.org/10.1016/j.cnsns.2011.07.005	NUM
easat-7172	336	2	[	[	X
easat-7172	336	3	34	34	NUM
easat-7172	336	4	]	]	X
easat-7172	336	5	t.	t.	NOUN
easat-7172	336	6	allahviranloo	allahviranloo	NOUN
easat-7172	336	7	,	,	PUNCT
easat-7172	336	8	"	"	PUNCT
easat-7172	336	9	fuzzy	fuzzy	ADJ
easat-7172	336	10	fractional	fractional	ADJ
easat-7172	336	11	differential	differential	NOUN
easat-7172	336	12	operators	operator	NOUN
easat-7172	336	13	and	and	CCONJ
easat-7172	336	14	equations	equation	NOUN
easat-7172	336	15	,	,	PUNCT
easat-7172	336	16	"	"	PUNCT
easat-7172	336	17	studies	study	NOUN
easat-7172	336	18	in	in	ADP
easat-7172	336	19	fuzziness	fuzziness	NOUN
easat-7172	336	20	and	and	CCONJ
easat-7172	336	21	soft	soft	ADJ
easat-7172	336	22	computing	computing	NOUN
easat-7172	336	23	,	,	PUNCT
easat-7172	336	24	vol	vol	NOUN
easat-7172	336	25	.	.	PROPN
easat-7172	336	26	397	397	NUM
easat-7172	336	27	,	,	PUNCT
easat-7172	336	28	2021	2021	NUM
easat-7172	336	29	.	.	PUNCT
easat-7172	337	1	https://doi.org/10.1007/978-3-030-51272-9	https://doi.org/10.1007/978-3-030-51272-9	NOUN
easat-7172	337	2	[	[	X
easat-7172	337	3	35	35	NUM
easat-7172	337	4	]	]	X
easat-7172	337	5	n.	n.	NOUN
easat-7172	337	6	t.	t.	PROPN
easat-7172	337	7	k.	k.	PROPN
easat-7172	337	8	son	son	PROPN
easat-7172	337	9	,	,	PUNCT
easat-7172	337	10	h.	h.	PROPN
easat-7172	338	1	v.	v.	PROPN
easat-7172	338	2	long	long	ADV
easat-7172	338	3	,	,	PUNCT
easat-7172	338	4	and	and	CCONJ
easat-7172	338	5	n.	n.	PROPN
easat-7172	338	6	p.	p.	PROPN
easat-7172	338	7	dong	dong	PROPN
easat-7172	338	8	,	,	PUNCT
easat-7172	338	9	"	"	PUNCT
easat-7172	338	10	fuzzy	fuzzy	ADJ
easat-7172	338	11	delay	delay	NOUN
easat-7172	338	12	differential	differential	ADJ
easat-7172	338	13	equations	equation	NOUN
easat-7172	338	14	under	under	ADP
easat-7172	338	15	granular	granular	ADJ
easat-7172	338	16	differentiability	differentiability	NOUN
easat-7172	338	17	with	with	ADP
easat-7172	338	18	applications	application	NOUN
easat-7172	338	19	,	,	PUNCT
easat-7172	338	20	"	"	PUNCT
easat-7172	338	21	computational	computational	ADJ
easat-7172	338	22	and	and	CCONJ
easat-7172	338	23	applied	applied	ADJ
easat-7172	338	24	mathematics	mathematic	NOUN
easat-7172	338	25	,	,	PUNCT
easat-7172	338	26	vol	vol	NOUN
easat-7172	338	27	.	.	PROPN
easat-7172	339	1	38	38	NUM
easat-7172	339	2	,	,	PUNCT
easat-7172	339	3	no	no	INTJ
easat-7172	339	4	.	.	NOUN
easat-7172	339	5	3	3	NUM
easat-7172	339	6	,	,	PUNCT
easat-7172	339	7	p.	p.	NOUN
easat-7172	339	8	107	107	NUM
easat-7172	339	9	,	,	PUNCT
easat-7172	339	10	2019	2019	NUM
easat-7172	339	11	.	.	PUNCT
easat-7172	340	1	https://doi.org/10.1007/s40314019-0881-x	https://doi.org/10.1007/s40314019-0881-x	PROPN
easat-7172	340	2	http://dx.doi.org/10.1016/j.chaos.2024.114562	http://dx.doi.org/10.1016/j.chaos.2024.114562	PROPN
easat-7172	340	3	https://doi.org/10.3390/math11061328	https://doi.org/10.3390/math11061328	PROPN
easat-7172	340	4	https://doi.org/10.1016/j.chaos.2006.09.004	https://doi.org/10.1016/j.chaos.2006.09.004	PROPN
easat-7172	340	5	http://dx.doi.org/10.1142/s0218127412300145	http://dx.doi.org/10.1142/s0218127412300145	PROPN
easat-7172	340	6	https://doi.org/10.1016/j.chaos.2007.08.001	https://doi.org/10.1016/j.chaos.2007.08.001	PROPN
easat-7172	340	7	https://doi.org/10.1186/s13662-015-0558-8	https://doi.org/10.1186/s13662-015-0558-8	NUM
easat-7172	340	8	https://doi.org/10.2172/910198	https://doi.org/10.2172/910198	VERB
easat-7172	340	9	https://doi.org/10.1016/s0019-9958(65)90241-x	https://doi.org/10.1016/s0019-9958(65)90241-x	PROPN
easat-7172	340	10	https://doi.org/10.1016/s0019-9958(65)90241-x	https://doi.org/10.1016/s0019-9958(65)90241-x	PROPN
easat-7172	340	11	https://doi.org/10.1016/j.artmed.2009.03.002	https://doi.org/10.1016/j.artmed.2009.03.002	NOUN
easat-7172	340	12	https://doi.org/10.1109/tfuzz.2015.2501434	https://doi.org/10.1109/tfuzz.2015.2501434	PROPN
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easat-7172	340	14	https://doi.org/10.31181/jdaic10004122024b	https://doi.org/10.31181/jdaic10004122024b	PROPN
easat-7172	340	15	https://doi.org/10.1007/s12597-024-00803-y	https://doi.org/10.1007/s12597-024-00803-y	ADP
easat-7172	340	16	https://doi.org/10.61356/j.nswa.2023.5	https://doi.org/10.61356/j.nswa.2023.5	PROPN
easat-7172	340	17	https://doi.org/10.1007/s12652-021-02909-3	https://doi.org/10.1007/s12652-021-02909-3	NUM
easat-7172	340	18	https://doi.org/10.1007/s12652-021-02909-3	https://doi.org/10.1007/s12652-021-02909-3	NUM
easat-7172	340	19	https://doi.org/10.1016/0165-0114(87)90029-7	https://doi.org/10.1016/0165-0114(87)90029-7	PROPN
easat-7172	340	20	https://doi.org/10.1016/s0165-0114(98)00141-9	https://doi.org/10.1016/s0165-0114(98)00141-9	NOUN
easat-7172	340	21	https://doi.org/10.1007/s00521-018-3380-x	https://doi.org/10.1007/s00521-018-3380-x	NOUN
easat-7172	340	22	https://doi.org/10.1016/j.cnsns.2011.07.005	https://doi.org/10.1016/j.cnsns.2011.07.005	NUM
easat-7172	340	23	https://doi.org/10.1007/978-3-030-51272-9	https://doi.org/10.1007/978-3-030-51272-9	PROPN
easat-7172	340	24	https://doi.org/10.1007/s40314-019-0881-x	https://doi.org/10.1007/s40314-019-0881-x	PROPN
easat-7172	340	25	https://doi.org/10.1007/s40314-019-0881-x	https://doi.org/10.1007/s40314-019-0881-x	PROPN
easat-7172	340	26	1405	1405	NUM
easat-7172	340	27	edelweiss	edelweiss	PROPN
easat-7172	340	28	applied	apply	VERB
easat-7172	340	29	science	science	NOUN
easat-7172	340	30	and	and	CCONJ
easat-7172	340	31	technology	technology	NOUN
easat-7172	340	32	issn	issn	PROPN
easat-7172	340	33	:	:	PUNCT
easat-7172	340	34	2576	2576	NUM
easat-7172	340	35	-	-	SYM
easat-7172	340	36	8484	8484	NUM
easat-7172	340	37	vol	vol	NOUN
easat-7172	340	38	.	.	PROPN
easat-7172	341	1	9	9	NUM
easat-7172	341	2	,	,	PUNCT
easat-7172	341	3	no	no	INTJ
easat-7172	341	4	.	.	NOUN
easat-7172	341	5	5	5	NUM
easat-7172	341	6	:	:	SYM
easat-7172	341	7	1393	1393	NUM
easat-7172	341	8	-	-	SYM
easat-7172	341	9	1405	1405	NUM
easat-7172	341	10	,	,	PUNCT
easat-7172	341	11	2025	2025	NUM
easat-7172	341	12	doi	doi	NOUN
easat-7172	341	13	:	:	PUNCT
easat-7172	341	14	10.55214/25768484.v9i5.7172	10.55214/25768484.v9i5.7172	NUM
easat-7172	341	15	©	©	PROPN
easat-7172	341	16	2025	2025	NUM
easat-7172	341	17	by	by	ADP
easat-7172	341	18	the	the	DET
easat-7172	341	19	author	author	NOUN
easat-7172	341	20	;	;	PUNCT
easat-7172	341	21	licensee	licensee	PROPN
easat-7172	341	22	learning	learning	NOUN
easat-7172	341	23	gate	gate	NOUN
easat-7172	342	1	[	[	X
easat-7172	342	2	36	36	NUM
easat-7172	342	3	]	]	PUNCT
easat-7172	342	4	a.	a.	PROPN
easat-7172	342	5	f.	f.	PROPN
easat-7172	342	6	jameel	jameel	PROPN
easat-7172	342	7	,	,	PUNCT
easat-7172	342	8	n.	n.	PROPN
easat-7172	342	9	r.	r.	PROPN
easat-7172	342	10	anakira	anakira	PROPN
easat-7172	342	11	,	,	PUNCT
easat-7172	342	12	a.	a.	NOUN
easat-7172	342	13	alomari	alomari	PROPN
easat-7172	342	14	,	,	PUNCT
easat-7172	342	15	m.	m.	PROPN
easat-7172	342	16	al	al	PROPN
easat-7172	342	17	-	-	PUNCT
easat-7172	342	18	mahameed	mahameed	PROPN
easat-7172	342	19	,	,	PUNCT
easat-7172	342	20	and	and	CCONJ
easat-7172	342	21	a.	a.	NOUN
easat-7172	342	22	saaban	saaban	PROPN
easat-7172	342	23	,	,	PUNCT
easat-7172	342	24	"	"	PUNCT
easat-7172	342	25	a	a	DET
easat-7172	342	26	new	new	ADJ
easat-7172	342	27	approximate	approximate	ADJ
easat-7172	342	28	solution	solution	NOUN
easat-7172	342	29	of	of	ADP
easat-7172	342	30	the	the	DET
easat-7172	342	31	fuzzy	fuzzy	ADJ
easat-7172	342	32	delay	delay	NOUN
easat-7172	342	33	differential	differential	ADJ
easat-7172	342	34	equations	equation	NOUN
easat-7172	342	35	,	,	PUNCT
easat-7172	342	36	"	"	PUNCT
easat-7172	342	37	international	international	ADJ
easat-7172	342	38	journal	journal	NOUN
easat-7172	342	39	of	of	ADP
easat-7172	342	40	mathematical	mathematical	ADJ
easat-7172	342	41	modelling	modelling	NOUN
easat-7172	342	42	and	and	CCONJ
easat-7172	342	43	numerical	numerical	ADJ
easat-7172	342	44	optimisation	optimisation	NOUN
easat-7172	342	45	,	,	PUNCT
easat-7172	342	46	vol	vol	NOUN
easat-7172	342	47	.	.	PROPN
easat-7172	342	48	9	9	NUM
easat-7172	342	49	,	,	PUNCT
easat-7172	342	50	no	no	INTJ
easat-7172	342	51	.	.	NOUN
easat-7172	342	52	3	3	NUM
easat-7172	342	53	,	,	PUNCT
easat-7172	342	54	pp	pp	ADJ
easat-7172	342	55	.	.	PUNCT
easat-7172	343	1	221	221	NUM
easat-7172	343	2	-	-	SYM
easat-7172	343	3	240	240	NUM
easat-7172	343	4	,	,	PUNCT
easat-7172	343	5	2019	2019	NUM
easat-7172	343	6	.	.	PUNCT
easat-7172	344	1	https://doi.org/10.1504/ijmmno.2019.100476	https://doi.org/10.1504/ijmmno.2019.100476	PROPN
easat-7172	345	1	[	[	X
easat-7172	345	2	37	37	NUM
easat-7172	345	3	]	]	X
easat-7172	345	4	i.	i.	NOUN
easat-7172	345	5	sumathi	sumathi	PROPN
easat-7172	345	6	and	and	CCONJ
easat-7172	345	7	c.	c.	PROPN
easat-7172	345	8	antony	antony	PROPN
easat-7172	345	9	crispin	crispin	PROPN
easat-7172	345	10	sweety	sweety	PROPN
easat-7172	345	11	,	,	PUNCT
easat-7172	345	12	"	"	PUNCT
easat-7172	345	13	new	new	ADJ
easat-7172	345	14	approach	approach	NOUN
easat-7172	345	15	on	on	ADP
easat-7172	345	16	differential	differential	ADJ
easat-7172	345	17	equation	equation	NOUN
easat-7172	345	18	via	via	ADP
easat-7172	345	19	trapezoidal	trapezoidal	ADJ
easat-7172	345	20	neutrosophic	neutrosophic	ADJ
easat-7172	345	21	number	number	NOUN
easat-7172	345	22	,	,	PUNCT
easat-7172	345	23	"	"	PUNCT
easat-7172	345	24	complex	complex	ADJ
easat-7172	345	25	&	&	CCONJ
easat-7172	345	26	intelligent	intelligent	ADJ
easat-7172	345	27	systems	system	NOUN
easat-7172	345	28	,	,	PUNCT
easat-7172	345	29	vol	vol	NOUN
easat-7172	345	30	.	.	PROPN
easat-7172	345	31	5	5	NUM
easat-7172	345	32	,	,	PUNCT
easat-7172	345	33	pp	pp	ADJ
easat-7172	345	34	.	.	PUNCT
easat-7172	346	1	417	417	NUM
easat-7172	346	2	-	-	SYM
easat-7172	346	3	424	424	NUM
easat-7172	346	4	,	,	PUNCT
easat-7172	346	5	2019	2019	NUM
easat-7172	346	6	.	.	PUNCT
easat-7172	346	7	https://doi.org/10.1007/s40747-019-00117-3	https://doi.org/10.1007/s40747-019-00117-3	NUM
easat-7172	347	1	[	[	X
easat-7172	347	2	38	38	NUM
easat-7172	347	3	]	]	PUNCT
easat-7172	347	4	d.	d.	PROPN
easat-7172	347	5	mondal	mondal	PROPN
easat-7172	347	6	,	,	PUNCT
easat-7172	347	7	s.	s.	PROPN
easat-7172	347	8	tudu	tudu	PROPN
easat-7172	347	9	,	,	PUNCT
easat-7172	347	10	g.	g.	PROPN
easat-7172	347	11	c.	c.	PROPN
easat-7172	347	12	roy	roy	PROPN
easat-7172	347	13	,	,	PUNCT
easat-7172	347	14	and	and	CCONJ
easat-7172	347	15	t.	t.	PROPN
easat-7172	347	16	k.	k.	PROPN
easat-7172	347	17	roy	roy	PROPN
easat-7172	347	18	,	,	PUNCT
easat-7172	347	19	"	"	PUNCT
easat-7172	347	20	a	a	DET
easat-7172	347	21	model	model	NOUN
easat-7172	347	22	describing	describe	VERB
easat-7172	347	23	the	the	DET
easat-7172	347	24	neutrosophic	neutrosophic	ADJ
easat-7172	347	25	differential	differential	NOUN
easat-7172	347	26	equation	equation	NOUN
easat-7172	347	27	and	and	CCONJ
easat-7172	347	28	its	its	PRON
easat-7172	347	29	application	application	NOUN
easat-7172	347	30	on	on	ADP
easat-7172	347	31	mine	mine	NOUN
easat-7172	347	32	safety	safety	NOUN
easat-7172	347	33	,	,	PUNCT
easat-7172	347	34	"	"	PUNCT
easat-7172	347	35	neutrosophic	neutrosophic	ADJ
easat-7172	347	36	sets	set	NOUN
easat-7172	347	37	and	and	CCONJ
easat-7172	347	38	systems	system	NOUN
easat-7172	347	39	,	,	PUNCT
easat-7172	347	40	vol	vol	NOUN
easat-7172	347	41	.	.	PROPN
easat-7172	347	42	46	46	NUM
easat-7172	347	43	,	,	PUNCT
easat-7172	347	44	pp	pp	ADJ
easat-7172	347	45	.	.	PUNCT
easat-7172	348	1	386	386	NUM
easat-7172	348	2	-	-	SYM
easat-7172	348	3	401	401	NUM
easat-7172	348	4	,	,	PUNCT
easat-7172	348	5	2021	2021	NUM
easat-7172	348	6	.	.	PUNCT
easat-7172	348	7	https://doi.org/10.5281/zenodo.5486247	https://doi.org/10.5281/zenodo.5486247	NOUN
easat-7172	349	1	[	[	X
easat-7172	349	2	39	39	NUM
easat-7172	349	3	]	]	PUNCT
easat-7172	349	4	i.	i.	NOUN
easat-7172	349	5	sumathi	sumathi	PROPN
easat-7172	349	6	and	and	CCONJ
easat-7172	349	7	v.	v.	ADP
easat-7172	349	8	m.	m.	PROPN
easat-7172	349	9	priya	priya	PROPN
easat-7172	349	10	,	,	PUNCT
easat-7172	349	11	a	a	DET
easat-7172	349	12	new	new	ADJ
easat-7172	349	13	perspective	perspective	NOUN
easat-7172	349	14	on	on	ADP
easat-7172	349	15	neutrosophic	neutrosophic	ADJ
easat-7172	349	16	differential	differential	NOUN
easat-7172	349	17	equation	equation	NOUN
easat-7172	349	18	.	.	PUNCT
easat-7172	350	1	infinite	infinite	ADJ
easat-7172	350	2	study	study	NOUN
easat-7172	350	3	,	,	PUNCT
easat-7172	350	4	2018	2018	NUM
easat-7172	350	5	.	.	PUNCT
easat-7172	351	1	[	[	X
easat-7172	351	2	40	40	NUM
easat-7172	351	3	]	]	PUNCT
easat-7172	351	4	m.	m.	NOUN
easat-7172	351	5	parikh	parikh	PROPN
easat-7172	351	6	and	and	CCONJ
easat-7172	351	7	m.	m.	PROPN
easat-7172	351	8	sahni	sahni	PROPN
easat-7172	351	9	,	,	PUNCT
easat-7172	351	10	"	"	PUNCT
easat-7172	351	11	solution	solution	NOUN
easat-7172	351	12	of	of	ADP
easat-7172	351	13	logistic	logistic	ADJ
easat-7172	351	14	differential	differential	NOUN
easat-7172	351	15	equation	equation	NOUN
easat-7172	351	16	in	in	ADP
easat-7172	351	17	an	an	DET
easat-7172	351	18	uncertain	uncertain	ADJ
easat-7172	351	19	environment	environment	NOUN
easat-7172	351	20	using	use	VERB
easat-7172	351	21	neutrosophic	neutrosophic	ADJ
easat-7172	351	22	numbers	number	NOUN
easat-7172	351	23	,	,	PUNCT
easat-7172	351	24	"	"	PUNCT
easat-7172	351	25	journal	journal	NOUN
easat-7172	351	26	of	of	ADP
easat-7172	351	27	interdisciplinary	interdisciplinary	ADJ
easat-7172	351	28	mathematics	mathematic	NOUN
easat-7172	351	29	,	,	PUNCT
easat-7172	351	30	vol	vol	NOUN
easat-7172	351	31	.	.	PROPN
easat-7172	351	32	27	27	NUM
easat-7172	351	33	,	,	PUNCT
easat-7172	351	34	pp	pp	ADJ
easat-7172	351	35	.	.	PUNCT
easat-7172	351	36	145	145	NUM
easat-7172	351	37	-	-	SYM
easat-7172	351	38	169	169	NUM
easat-7172	351	39	,	,	PUNCT
easat-7172	351	40	2024	2024	NUM
easat-7172	351	41	.	.	PUNCT
easat-7172	352	1	https://doi.org/10.47974/jim-1795	https://doi.org/10.47974/jim-1795	NUM
easat-7172	352	2	[	[	X
easat-7172	352	3	41	41	NUM
easat-7172	352	4	]	]	PUNCT
easat-7172	352	5	m.	m.	NOUN
easat-7172	352	6	rahaman	rahaman	NOUN
easat-7172	352	7	,	,	PUNCT
easat-7172	352	8	s.	s.	PROPN
easat-7172	352	9	p.	p.	PROPN
easat-7172	352	10	mondal	mondal	PROPN
easat-7172	352	11	,	,	PUNCT
easat-7172	352	12	s.	s.	PROPN
easat-7172	352	13	ahmad	ahmad	PROPN
easat-7172	352	14	,	,	PUNCT
easat-7172	352	15	k.	k.	PROPN
easat-7172	352	16	h.	h.	PROPN
easat-7172	352	17	gazi	gazi	PROPN
easat-7172	352	18	,	,	PUNCT
easat-7172	352	19	and	and	CCONJ
easat-7172	352	20	a.	a.	PROPN
easat-7172	352	21	ghosh	ghosh	PROPN
easat-7172	352	22	,	,	PUNCT
easat-7172	352	23	"	"	PUNCT
easat-7172	352	24	study	study	NOUN
easat-7172	352	25	of	of	ADP
easat-7172	352	26	the	the	DET
easat-7172	352	27	system	system	NOUN
easat-7172	352	28	of	of	ADP
easat-7172	352	29	uncertain	uncertain	ADJ
easat-7172	352	30	linear	linear	ADJ
easat-7172	352	31	differential	differential	ADJ
easat-7172	352	32	equations	equation	NOUN
easat-7172	352	33	under	under	ADP
easat-7172	352	34	neutrosophic	neutrosophic	ADJ
easat-7172	352	35	sense	sense	NOUN
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easat-7172	352	37	uncertainty	uncertainty	NOUN
easat-7172	352	38	,	,	PUNCT
easat-7172	352	39	"	"	PUNCT
easat-7172	352	40	spectrum	spectrum	NOUN
easat-7172	352	41	of	of	ADP
easat-7172	352	42	engineering	engineering	NOUN
easat-7172	352	43	and	and	CCONJ
easat-7172	352	44	management	management	NOUN
easat-7172	352	45	sciences	science	NOUN
easat-7172	352	46	,	,	PUNCT
easat-7172	352	47	vol	vol	NOUN
easat-7172	352	48	.	.	PROPN
easat-7172	353	1	3	3	NUM
easat-7172	353	2	,	,	PUNCT
easat-7172	353	3	no	no	INTJ
easat-7172	353	4	.	.	NOUN
easat-7172	353	5	1	1	NUM
easat-7172	353	6	,	,	PUNCT
easat-7172	353	7	pp	pp	ADJ
easat-7172	353	8	.	.	PUNCT
easat-7172	354	1	93	93	NUM
easat-7172	354	2	-	-	SYM
easat-7172	354	3	109	109	NUM
easat-7172	354	4	,	,	PUNCT
easat-7172	354	5	2025	2025	NUM
easat-7172	354	6	.	.	PUNCT
easat-7172	355	1	https://doi.org/10.31181/sems31202536r	https://doi.org/10.31181/sems31202536r	PROPN
easat-7172	356	1	[	[	X
easat-7172	356	2	42	42	NUM
easat-7172	356	3	]	]	PUNCT
easat-7172	356	4	b.	b.	PROPN
easat-7172	356	5	kamal	kamal	PROPN
easat-7172	356	6	,	,	PUNCT
easat-7172	356	7	h.	h.	PROPN
easat-7172	356	8	e.	e.	PROPN
easat-7172	356	9	khalid	khalid	PROPN
easat-7172	356	10	,	,	PUNCT
easat-7172	356	11	a.	a.	NOUN
easat-7172	356	12	salama	salama	NOUN
easat-7172	356	13	,	,	PUNCT
easat-7172	356	14	and	and	CCONJ
easat-7172	356	15	g.	g.	PROPN
easat-7172	356	16	i.	i.	PROPN
easat-7172	356	17	el	el	PROPN
easat-7172	356	18	-	-	PROPN
easat-7172	356	19	baghdady	baghdady	PROPN
easat-7172	356	20	,	,	PUNCT
easat-7172	356	21	"	"	PUNCT
easat-7172	356	22	finite	finite	ADJ
easat-7172	356	23	difference	difference	NOUN
easat-7172	356	24	method	method	NOUN
easat-7172	356	25	for	for	ADP
easat-7172	356	26	neutrosophic	neutrosophic	ADJ
easat-7172	356	27	fuzzy	fuzzy	ADJ
easat-7172	356	28	second	second	ADJ
easat-7172	356	29	order	order	NOUN
easat-7172	356	30	differential	differential	ADJ
easat-7172	356	31	equation	equation	NOUN
easat-7172	356	32	under	under	ADP
easat-7172	356	33	generalized	generalized	ADJ
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easat-7172	356	35	differentiability	differentiability	NOUN
easat-7172	356	36	,	,	PUNCT
easat-7172	356	37	"	"	PUNCT
easat-7172	356	38	neutrosophic	neutrosophic	ADJ
easat-7172	356	39	sets	set	NOUN
easat-7172	356	40	and	and	CCONJ
easat-7172	356	41	systems	system	NOUN
easat-7172	356	42	,	,	PUNCT
easat-7172	356	43	vol	vol	NOUN
easat-7172	356	44	.	.	PROPN
easat-7172	357	1	58	58	NUM
easat-7172	357	2	,	,	PUNCT
easat-7172	357	3	no	no	INTJ
easat-7172	357	4	.	.	NOUN
easat-7172	357	5	1	1	NUM
easat-7172	357	6	,	,	PUNCT
easat-7172	357	7	p.	p.	NOUN
easat-7172	357	8	19	19	NUM
easat-7172	357	9	,	,	PUNCT
easat-7172	357	10	2023	2023	NUM
easat-7172	357	11	.	.	PUNCT
easat-7172	358	1	https://doi.org/10.5281/zenodo.8404478	https://doi.org/10.5281/zenodo.8404478	NOUN
easat-7172	359	1	[	[	X
easat-7172	359	2	43	43	NUM
easat-7172	359	3	]	]	PUNCT
easat-7172	359	4	a.	a.	PROPN
easat-7172	359	5	j.	j.	PROPN
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easat-7172	359	7	,	,	PUNCT
easat-7172	359	8	h.	h.	PROPN
easat-7172	359	9	a.	a.	PROPN
easat-7172	359	10	hadi	hadi	PROPN
easat-7172	359	11	,	,	PUNCT
easat-7172	359	12	and	and	CCONJ
easat-7172	359	13	s.	s.	PROPN
easat-7172	359	14	m.	m.	PROPN
easat-7172	359	15	jabbar	jabbar	PROPN
easat-7172	359	16	,	,	PUNCT
easat-7172	359	17	"	"	PUNCT
easat-7172	359	18	solving	solve	VERB
easat-7172	359	19	of	of	ADP
easat-7172	359	20	first	first	ADJ
easat-7172	359	21	order	order	NOUN
easat-7172	359	22	initial	initial	ADJ
easat-7172	359	23	value	value	NOUN
easat-7172	359	24	problem	problem	NOUN
easat-7172	359	25	using	use	VERB
easat-7172	359	26	fuzzy	fuzzy	ADJ
easat-7172	359	27	kamal	kamal	PROPN
easat-7172	359	28	transform	transform	NOUN
easat-7172	359	29	in	in	ADP
easat-7172	359	30	neutrosophic	neutrosophic	ADJ
easat-7172	359	31	environment	environment	NOUN
easat-7172	359	32	,	,	PUNCT
easat-7172	359	33	"	"	PUNCT
easat-7172	359	34	international	international	ADJ
easat-7172	359	35	journal	journal	NOUN
easat-7172	359	36	of	of	ADP
easat-7172	359	37	neutrosophic	neutrosophic	ADJ
easat-7172	359	38	science	science	NOUN
easat-7172	359	39	,	,	PUNCT
easat-7172	359	40	vol	vol	NOUN
easat-7172	359	41	.	.	PROPN
easat-7172	359	42	25	25	NUM
easat-7172	359	43	,	,	PUNCT
easat-7172	359	44	no	no	INTJ
easat-7172	359	45	.	.	NOUN
easat-7172	359	46	3	3	NUM
easat-7172	359	47	,	,	PUNCT
easat-7172	359	48	2025	2025	NUM
easat-7172	359	49	.	.	PUNCT
easat-7172	360	1	[	[	X
easat-7172	360	2	44	44	NUM
easat-7172	360	3	]	]	PUNCT
easat-7172	360	4	a.	a.	PROPN
easat-7172	360	5	f.	f.	PROPN
easat-7172	360	6	momena	momena	PROPN
easat-7172	360	7	,	,	PUNCT
easat-7172	360	8	r.	r.	PROPN
easat-7172	360	9	haque	haque	PROPN
easat-7172	360	10	,	,	PUNCT
easat-7172	360	11	m.	m.	NOUN
easat-7172	360	12	rahaman	rahaman	NOUN
easat-7172	360	13	,	,	PUNCT
easat-7172	360	14	s.	s.	PROPN
easat-7172	360	15	salahshour	salahshour	PROPN
easat-7172	360	16	,	,	PUNCT
easat-7172	360	17	and	and	CCONJ
easat-7172	360	18	s.	s.	PROPN
easat-7172	360	19	p.	p.	PROPN
easat-7172	360	20	mondal	mondal	PROPN
easat-7172	360	21	,	,	PUNCT
easat-7172	360	22	"	"	PUNCT
easat-7172	360	23	the	the	DET
easat-7172	360	24	existence	existence	NOUN
easat-7172	360	25	and	and	CCONJ
easat-7172	360	26	uniqueness	uniqueness	ADJ
easat-7172	360	27	conditions	condition	NOUN
easat-7172	360	28	for	for	ADP
easat-7172	360	29	solving	solve	VERB
easat-7172	360	30	neutrosophic	neutrosophic	ADJ
easat-7172	360	31	differential	differential	ADJ
easat-7172	360	32	equations	equation	NOUN
easat-7172	360	33	and	and	CCONJ
easat-7172	360	34	its	its	PRON
easat-7172	360	35	consequence	consequence	NOUN
easat-7172	360	36	on	on	ADP
easat-7172	360	37	optimal	optimal	ADJ
easat-7172	360	38	order	order	NOUN
easat-7172	360	39	quantity	quantity	NOUN
easat-7172	360	40	strategy	strategy	NOUN
easat-7172	360	41	,	,	PUNCT
easat-7172	360	42	"	"	PUNCT
easat-7172	360	43	logistics	logistic	NOUN
easat-7172	360	44	,	,	PUNCT
easat-7172	360	45	vol	vol	NOUN
easat-7172	360	46	.	.	PROPN
easat-7172	360	47	8	8	NUM
easat-7172	360	48	,	,	PUNCT
easat-7172	360	49	no	no	INTJ
easat-7172	360	50	.	.	NOUN
easat-7172	360	51	1	1	NUM
easat-7172	360	52	,	,	PUNCT
easat-7172	360	53	p.	p.	NOUN
easat-7172	360	54	18	18	NUM
easat-7172	360	55	,	,	PUNCT
easat-7172	360	56	2024	2024	NUM
easat-7172	360	57	.	.	PUNCT
easat-7172	361	1	https://doi.org/10.3390/logistics8010018	https://doi.org/10.3390/logistics8010018	NOUN
easat-7172	361	2	[	[	X
easat-7172	361	3	45	45	NUM
easat-7172	361	4	]	]	X
easat-7172	361	5	n.	n.	PROPN
easat-7172	361	6	t.	t.	PROPN
easat-7172	361	7	k.	k.	PROPN
easat-7172	361	8	son	son	PROPN
easat-7172	361	9	,	,	PUNCT
easat-7172	361	10	n.	n.	PROPN
easat-7172	361	11	p.	p.	PROPN
easat-7172	361	12	dong	dong	PROPN
easat-7172	361	13	,	,	PUNCT
easat-7172	361	14	h.	h.	PROPN
easat-7172	361	15	v.	v.	PROPN
easat-7172	361	16	long	long	ADV
easat-7172	361	17	,	,	PUNCT
easat-7172	361	18	l.	l.	PROPN
easat-7172	361	19	h.	h.	PROPN
easat-7172	361	20	son	son	PROPN
easat-7172	361	21	,	,	PUNCT
easat-7172	361	22	and	and	CCONJ
easat-7172	361	23	a.	a.	PROPN
easat-7172	361	24	khastan	khastan	PROPN
easat-7172	361	25	,	,	PUNCT
easat-7172	361	26	"	"	PUNCT
easat-7172	361	27	linear	linear	ADJ
easat-7172	361	28	quadratic	quadratic	ADJ
easat-7172	361	29	regulator	regulator	NOUN
easat-7172	361	30	problem	problem	NOUN
easat-7172	361	31	governed	govern	VERB
easat-7172	361	32	by	by	ADP
easat-7172	361	33	granular	granular	ADJ
easat-7172	361	34	neutrosophic	neutrosophic	ADJ
easat-7172	361	35	fractional	fractional	ADJ
easat-7172	361	36	differential	differential	NOUN
easat-7172	361	37	equations	equation	NOUN
easat-7172	361	38	,	,	PUNCT
easat-7172	361	39	"	"	PUNCT
easat-7172	361	40	isa	isa	NOUN
easat-7172	361	41	transactions	transaction	NOUN
easat-7172	361	42	,	,	PUNCT
easat-7172	361	43	vol	vol	NOUN
easat-7172	361	44	.	.	PROPN
easat-7172	362	1	97	97	NUM
easat-7172	362	2	,	,	PUNCT
easat-7172	362	3	pp	pp	ADJ
easat-7172	362	4	.	.	PUNCT
easat-7172	363	1	296	296	NUM
easat-7172	363	2	-	-	SYM
easat-7172	363	3	316	316	NUM
easat-7172	363	4	,	,	PUNCT
easat-7172	363	5	2020	2020	NUM
easat-7172	363	6	.	.	PUNCT
easat-7172	364	1	https://doi.org/10.1016/j.isatra.2019.11.016	https://doi.org/10.1016/j.isatra.2019.11.016	PROPN
easat-7172	364	2	[	[	X
easat-7172	364	3	46	46	NUM
easat-7172	364	4	]	]	PUNCT
easat-7172	364	5	a.	a.	NOUN
easat-7172	364	6	acharya	acharya	PROPN
easat-7172	364	7	et	et	PROPN
easat-7172	364	8	al	al	PROPN
easat-7172	364	9	.	.	PROPN
easat-7172	364	10	,	,	PUNCT
easat-7172	364	11	"	"	PUNCT
easat-7172	364	12	a	a	DET
easat-7172	364	13	neutrosophic	neutrosophic	ADJ
easat-7172	364	14	differential	differential	NOUN
easat-7172	364	15	equation	equation	NOUN
easat-7172	364	16	approach	approach	NOUN
easat-7172	364	17	for	for	ADP
easat-7172	364	18	modelling	model	VERB
easat-7172	364	19	glucose	glucose	NOUN
easat-7172	364	20	distribution	distribution	NOUN
easat-7172	364	21	in	in	ADP
easat-7172	364	22	the	the	DET
easat-7172	364	23	bloodstream	bloodstream	NOUN
easat-7172	364	24	using	use	VERB
easat-7172	364	25	neutrosophic	neutrosophic	ADJ
easat-7172	364	26	sets	set	NOUN
easat-7172	364	27	,	,	PUNCT
easat-7172	364	28	"	"	PUNCT
easat-7172	364	29	decision	decision	NOUN
easat-7172	364	30	analytics	analytic	NOUN
easat-7172	364	31	journal	journal	NOUN
easat-7172	364	32	,	,	PUNCT
easat-7172	364	33	vol	vol	NOUN
easat-7172	364	34	.	.	PROPN
easat-7172	364	35	8	8	NUM
easat-7172	364	36	,	,	PUNCT
easat-7172	364	37	p.	p.	NOUN
easat-7172	364	38	100264	100264	NUM
easat-7172	364	39	,	,	PUNCT
easat-7172	364	40	2023	2023	NUM
easat-7172	364	41	.	.	PUNCT
easat-7172	365	1	https://doi.org/10.1016/j.dajour.2023.100264	https://doi.org/10.1016/j.dajour.2023.100264	NOUN
easat-7172	365	2	[	[	X
easat-7172	365	3	47	47	NUM
easat-7172	365	4	]	]	PUNCT
easat-7172	365	5	l.	l.	PROPN
easat-7172	365	6	a.	a.	PROPN
easat-7172	365	7	zadeh	zadeh	PROPN
easat-7172	365	8	,	,	PUNCT
easat-7172	365	9	"	"	PUNCT
easat-7172	365	10	the	the	DET
easat-7172	365	11	concept	concept	NOUN
easat-7172	365	12	of	of	ADP
easat-7172	365	13	a	a	DET
easat-7172	365	14	linguistic	linguistic	ADJ
easat-7172	365	15	variable	variable	NOUN
easat-7172	365	16	and	and	CCONJ
easat-7172	365	17	its	its	PRON
easat-7172	365	18	application	application	NOUN
easat-7172	365	19	to	to	PART
easat-7172	365	20	approximate	approximate	ADJ
easat-7172	365	21	reasoning	reasoning	NOUN
easat-7172	365	22	—	—	PUNCT
easat-7172	365	23	i	i	PRON
easat-7172	365	24	,	,	PUNCT
easat-7172	365	25	"	"	PUNCT
easat-7172	365	26	information	information	NOUN
easat-7172	365	27	sciences	science	NOUN
easat-7172	365	28	,	,	PUNCT
easat-7172	365	29	vol	vol	NOUN
easat-7172	365	30	.	.	PROPN
easat-7172	365	31	8	8	NUM
easat-7172	365	32	,	,	PUNCT
easat-7172	365	33	no	no	INTJ
easat-7172	365	34	.	.	NOUN
easat-7172	365	35	3	3	NUM
easat-7172	365	36	,	,	PUNCT
easat-7172	365	37	pp	pp	ADJ
easat-7172	365	38	.	.	PUNCT
easat-7172	366	1	199	199	NUM
easat-7172	366	2	-	-	SYM
easat-7172	366	3	249	249	NUM
easat-7172	366	4	,	,	PUNCT
easat-7172	366	5	1975	1975	NUM
easat-7172	366	6	.	.	PUNCT
easat-7172	367	1	https://doi.org/10.1016/0020-0255(75)90036-5	https://doi.org/10.1016/0020-0255(75)90036-5	PROPN
easat-7172	367	2	[	[	X
easat-7172	367	3	48	48	NUM
easat-7172	367	4	]	]	PUNCT
easat-7172	367	5	f.	f.	PROPN
easat-7172	367	6	smarandache	smarandache	PROPN
easat-7172	367	7	,	,	PUNCT
easat-7172	367	8	"	"	PUNCT
easat-7172	367	9	neutrosophy	neutrosophy	NOUN
easat-7172	367	10	:	:	PUNCT
easat-7172	367	11	neutrosophic	neutrosophic	ADJ
easat-7172	367	12	probability	probability	NOUN
easat-7172	367	13	,	,	PUNCT
easat-7172	367	14	set	set	NOUN
easat-7172	367	15	,	,	PUNCT
easat-7172	367	16	and	and	CCONJ
easat-7172	367	17	logic	logic	NOUN
easat-7172	367	18	:	:	PUNCT
easat-7172	367	19	analytic	analytic	ADJ
easat-7172	367	20	synthesis	synthesis	NOUN
easat-7172	367	21	&	&	CCONJ
easat-7172	367	22	synthetic	synthetic	ADJ
easat-7172	367	23	analysis	analysis	NOUN
easat-7172	367	24	,	,	PUNCT
easat-7172	367	25	"	"	PUNCT
easat-7172	367	26	1998	1998	NUM
easat-7172	367	27	.	.	PUNCT
easat-7172	368	1	https://doi.org/10.1504/ijmmno.2019.100476	https://doi.org/10.1504/ijmmno.2019.100476	PROPN
easat-7172	368	2	https://doi.org/10.1007/s40747-019-00117-3	https://doi.org/10.1007/s40747-019-00117-3	NUM
easat-7172	368	3	https://doi.org/10.5281/zenodo.5486247	https://doi.org/10.5281/zenodo.5486247	NOUN
easat-7172	368	4	https://doi.org/10.47974/jim-1795	https://doi.org/10.47974/jim-1795	PROPN
easat-7172	368	5	https://doi.org/10.31181/sems31202536r	https://doi.org/10.31181/sems31202536r	PROPN
easat-7172	368	6	https://doi.org/10.5281/zenodo.8404478	https://doi.org/10.5281/zenodo.8404478	NOUN
easat-7172	368	7	https://doi.org/10.3390/logistics8010018	https://doi.org/10.3390/logistics8010018	VERB
easat-7172	368	8	https://doi.org/10.1016/j.isatra.2019.11.016	https://doi.org/10.1016/j.isatra.2019.11.016	PROPN
easat-7172	368	9	https://doi.org/10.1016/j.dajour.2023.100264	https://doi.org/10.1016/j.dajour.2023.100264	PROPN
easat-7172	368	10	https://doi.org/10.1016/0020-0255(75)90036-5	https://doi.org/10.1016/0020-0255(75)90036-5	PROPN