id	sid	tid	token	lemma	pos
cana-4537	1	1	communications	communication	NOUN
cana-4537	1	2	on	on	ADP
cana-4537	1	3	applied	apply	VERB
cana-4537	1	4	nonlinear	nonlinear	ADJ
cana-4537	1	5	analysis	analysis	NOUN
cana-4537	1	6	issn	issn	NOUN
cana-4537	1	7	:	:	PUNCT
cana-4537	1	8	1074	1074	NUM
cana-4537	1	9	-	-	PUNCT
cana-4537	1	10	133x	133x	NUM
cana-4537	1	11	vol	vol	NOUN
cana-4537	1	12	32	32	NUM
cana-4537	1	13	no	no	NOUN
cana-4537	1	14	.	.	PUNCT
cana-4537	2	1	9s	9s	NUM
cana-4537	2	2	(	(	PUNCT
cana-4537	2	3	2025	2025	NUM
cana-4537	2	4	)	)	PUNCT
cana-4537	2	5	2462	2462	NUM
cana-4537	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4537	2	7	non	non	ADJ
cana-4537	2	8	-	-	ADJ
cana-4537	2	9	homogeneous	homogeneous	ADJ
cana-4537	2	10	fuzzy	fuzzy	ADJ
cana-4537	2	11	differential	differential	ADJ
cana-4537	2	12	equation	equation	NOUN
cana-4537	2	13	with	with	ADP
cana-4537	2	14	triangular	triangular	NOUN
cana-4537	2	15	fuzzy	fuzzy	ADJ
cana-4537	2	16	number	number	NOUN
cana-4537	2	17	as	as	ADP
cana-4537	2	18	initial	initial	ADJ
cana-4537	2	19	condition	condition	NOUN
cana-4537	2	20	dnyaneshwar	dnyaneshwar	PROPN
cana-4537	2	21	p.	p.	PROPN
cana-4537	2	22	bawane1	bawane1	PROPN
cana-4537	3	1	*	*	PROPN
cana-4537	3	2	,	,	PUNCT
cana-4537	3	3	lemraj	lemraj	PROPN
cana-4537	3	4	s.	s.	PROPN
cana-4537	3	5	ladke2	ladke2	PROPN
cana-4537	3	6	,	,	PUNCT
cana-4537	3	7	1department	1department	NUM
cana-4537	3	8	of	of	ADP
cana-4537	3	9	applied	apply	VERB
cana-4537	3	10	mathematics	mathematic	NOUN
cana-4537	3	11	and	and	CCONJ
cana-4537	3	12	humanities	humanity	NOUN
cana-4537	3	13	,	,	PUNCT
cana-4537	3	14	yeshwantrao	yeshwantrao	NOUN
cana-4537	3	15	chavan	chavan	PROPN
cana-4537	3	16	college	college	PROPN
cana-4537	3	17	of	of	ADP
cana-4537	3	18	engineering	engineering	PROPN
cana-4537	3	19	,	,	PUNCT
cana-4537	3	20	nagpur	nagpur	PROPN
cana-4537	3	21	,	,	PUNCT
cana-4537	3	22	maharashtra	maharashtra	PROPN
cana-4537	3	23	,	,	PUNCT
cana-4537	3	24	india	india	PROPN
cana-4537	3	25	.	.	PUNCT
cana-4537	4	1	e	e	X
cana-4537	4	2	-	-	NOUN
cana-4537	4	3	mail	mail	NOUN
cana-4537	4	4	i	i	NOUN
cana-4537	4	5	d	d	NOUN
cana-4537	4	6	:	:	PUNCT
cana-4537	5	1	dnyanesh02@gmail.com	dnyanesh02@gmail.com	X
cana-4537	5	2	2department	2department	NUM
cana-4537	5	3	of	of	ADP
cana-4537	5	4	mathematics	mathematic	NOUN
cana-4537	5	5	,	,	PUNCT
cana-4537	5	6	nilkanthrao	nilkanthrao	PROPN
cana-4537	5	7	shinde	shinde	PROPN
cana-4537	5	8	science	science	PROPN
cana-4537	5	9	&	&	CCONJ
cana-4537	5	10	arts	arts	PROPN
cana-4537	5	11	college	college	PROPN
cana-4537	5	12	,	,	PUNCT
cana-4537	5	13	bhadrawati	bhadrawati	PROPN
cana-4537	5	14	,	,	PUNCT
cana-4537	5	15	maharashtra	maharashtra	PROPN
cana-4537	5	16	,	,	PUNCT
cana-4537	5	17	india	india	PROPN
cana-4537	5	18	.	.	PUNCT
cana-4537	6	1	e	e	X
cana-4537	6	2	-	-	NOUN
cana-4537	6	3	mail	mail	NOUN
cana-4537	6	4	i	i	NOUN
cana-4537	6	5	d	d	NOUN
cana-4537	6	6	:	:	PUNCT
cana-4537	6	7	lemrajvandana@gmail.com	lemrajvandana@gmail.com	X
cana-4537	6	8	article	article	NOUN
cana-4537	6	9	history	history	NOUN
cana-4537	6	10	:	:	PUNCT
cana-4537	6	11	received	receive	VERB
cana-4537	6	12	:	:	PUNCT
cana-4537	6	13	12	12	NUM
cana-4537	6	14	-	-	SYM
cana-4537	6	15	01	01	NUM
cana-4537	6	16	-	-	PUNCT
cana-4537	6	17	2025	2025	NUM
cana-4537	6	18	revised	revise	VERB
cana-4537	6	19	:	:	PUNCT
cana-4537	6	20	15	15	NUM
cana-4537	6	21	-	-	NUM
cana-4537	6	22	02	02	NUM
cana-4537	6	23	-	-	PUNCT
cana-4537	6	24	2025	2025	NUM
cana-4537	6	25	accepted	accept	VERB
cana-4537	6	26	:	:	PUNCT
cana-4537	6	27	01	01	NUM
cana-4537	6	28	-	-	SYM
cana-4537	6	29	03	03	NUM
cana-4537	6	30	-	-	PUNCT
cana-4537	6	31	2025	2025	NUM
cana-4537	6	32	abstract	abstract	NOUN
cana-4537	6	33	:	:	PUNCT
cana-4537	6	34	a	a	DET
cana-4537	6	35	solution	solution	NOUN
cana-4537	6	36	of	of	ADP
cana-4537	6	37	first	first	ADJ
cana-4537	6	38	order	order	NOUN
cana-4537	6	39	nonhomogeneous	nonhomogeneous	ADJ
cana-4537	6	40	linear	linear	ADJ
cana-4537	6	41	fuzzy	fuzzy	ADJ
cana-4537	6	42	differential	differential	ADJ
cana-4537	6	43	equation	equation	NOUN
cana-4537	6	44	with	with	ADP
cana-4537	6	45	initial	initial	ADJ
cana-4537	6	46	condition	condition	NOUN
cana-4537	6	47	as	as	ADP
cana-4537	6	48	triangular	triangular	NOUN
cana-4537	6	49	fuzzy	fuzzy	ADJ
cana-4537	6	50	number	number	NOUN
cana-4537	6	51	is	be	AUX
cana-4537	6	52	discussed	discuss	VERB
cana-4537	6	53	in	in	ADP
cana-4537	6	54	this	this	DET
cana-4537	6	55	paper	paper	NOUN
cana-4537	6	56	and	and	CCONJ
cana-4537	6	57	to	to	PART
cana-4537	6	58	obtained	obtain	VERB
cana-4537	6	59	a	a	DET
cana-4537	6	60	general	general	ADJ
cana-4537	6	61	solution	solution	NOUN
cana-4537	6	62	,	,	PUNCT
cana-4537	6	63	we	we	PRON
cana-4537	6	64	have	have	AUX
cana-4537	6	65	used	use	VERB
cana-4537	6	66	a	a	DET
cana-4537	6	67	method	method	NOUN
cana-4537	6	68	of	of	ADP
cana-4537	6	69	interval	interval	NOUN
cana-4537	6	70	arithmetic	arithmetic	ADJ
cana-4537	6	71	on	on	ADP
cana-4537	6	72	α	α	NOUN
cana-4537	6	73	-	-	PUNCT
cana-4537	6	74	cut	cut	VERB
cana-4537	6	75	interval	interval	NOUN
cana-4537	6	76	.	.	PUNCT
cana-4537	7	1	here	here	ADV
cana-4537	7	2	,	,	PUNCT
cana-4537	7	3	we	we	PRON
cana-4537	7	4	have	have	AUX
cana-4537	7	5	proposed	propose	VERB
cana-4537	7	6	a	a	DET
cana-4537	7	7	solution	solution	NOUN
cana-4537	7	8	non	non	ADJ
cana-4537	7	9	-	-	ADJ
cana-4537	7	10	homogeneous	homogeneous	ADJ
cana-4537	7	11	fuzzy	fuzzy	ADJ
cana-4537	7	12	differential	differential	NOUN
cana-4537	7	13	equation	equation	NOUN
cana-4537	7	14	by	by	ADP
cana-4537	7	15	considering	consider	VERB
cana-4537	7	16	four	four	NUM
cana-4537	7	17	different	different	ADJ
cana-4537	7	18	possible	possible	ADJ
cana-4537	7	19	cases	case	NOUN
cana-4537	7	20	of	of	ADP
cana-4537	7	21	real	real	ADJ
cana-4537	7	22	valued	value	VERB
cana-4537	7	23	functions	function	NOUN
cana-4537	7	24	involved	involve	VERB
cana-4537	7	25	in	in	ADP
cana-4537	7	26	differential	differential	ADJ
cana-4537	7	27	equations	equation	NOUN
cana-4537	7	28	.	.	PUNCT
cana-4537	8	1	at	at	ADP
cana-4537	8	2	the	the	DET
cana-4537	8	3	last	last	ADJ
cana-4537	8	4	,	,	PUNCT
cana-4537	8	5	an	an	DET
cana-4537	8	6	example	example	NOUN
cana-4537	8	7	of	of	ADP
cana-4537	8	8	first	first	ADJ
cana-4537	8	9	order	order	NOUN
cana-4537	8	10	nonhomogeneous	nonhomogeneous	ADJ
cana-4537	8	11	linear	linear	ADJ
cana-4537	8	12	fuzzy	fuzzy	ADJ
cana-4537	8	13	differential	differential	ADJ
cana-4537	8	14	equation	equation	NOUN
cana-4537	8	15	under	under	ADP
cana-4537	8	16	fuzzy	fuzzy	ADJ
cana-4537	8	17	initial	initial	ADJ
cana-4537	8	18	condition	condition	NOUN
cana-4537	8	19	is	be	AUX
cana-4537	8	20	being	be	AUX
cana-4537	8	21	solved	solve	VERB
cana-4537	8	22	to	to	PART
cana-4537	8	23	verify	verify	VERB
cana-4537	8	24	the	the	DET
cana-4537	8	25	result	result	NOUN
cana-4537	8	26	.	.	PUNCT
cana-4537	9	1	keywords	keyword	NOUN
cana-4537	9	2	:	:	PUNCT
cana-4537	9	3	fuzzy	fuzzy	ADJ
cana-4537	9	4	differential	differential	ADJ
cana-4537	9	5	equation	equation	NOUN
cana-4537	9	6	,	,	PUNCT
cana-4537	9	7	triangular	triangular	ADJ
cana-4537	9	8	fuzzy	fuzzy	ADJ
cana-4537	9	9	number	number	NOUN
cana-4537	9	10	,	,	PUNCT
cana-4537	9	11	support	support	NOUN
cana-4537	9	12	and	and	CCONJ
cana-4537	9	13	core	core	NOUN
cana-4537	9	14	of	of	ADP
cana-4537	9	15	fuzzy	fuzzy	ADJ
cana-4537	9	16	set	set	NOUN
cana-4537	9	17	,	,	PUNCT
cana-4537	9	18	interval	interval	NOUN
cana-4537	9	19	arithmetic	arithmetic	NOUN
cana-4537	9	20	.	.	PUNCT
cana-4537	10	1	1	1	X
cana-4537	10	2	.	.	X
cana-4537	10	3	introduction	introduction	NOUN
cana-4537	10	4	fuzzy	fuzzy	ADJ
cana-4537	10	5	differential	differential	NOUN
cana-4537	10	6	equation	equation	NOUN
cana-4537	10	7	is	be	AUX
cana-4537	10	8	a	a	DET
cana-4537	10	9	model	model	NOUN
cana-4537	10	10	of	of	ADP
cana-4537	10	11	varying	vary	VERB
cana-4537	10	12	situations	situation	NOUN
cana-4537	10	13	under	under	ADP
cana-4537	10	14	vague	vague	ADJ
cana-4537	10	15	conditions	condition	NOUN
cana-4537	10	16	has	have	VERB
cana-4537	10	17	an	an	DET
cana-4537	10	18	important	important	ADJ
cana-4537	10	19	role	role	NOUN
cana-4537	10	20	to	to	ADP
cana-4537	10	21	various	various	ADJ
cana-4537	10	22	fields	field	NOUN
cana-4537	10	23	of	of	ADP
cana-4537	10	24	engineering	engineering	NOUN
cana-4537	10	25	and	and	CCONJ
cana-4537	10	26	science	science	NOUN
cana-4537	10	27	.	.	PUNCT
cana-4537	11	1	the	the	DET
cana-4537	11	2	concept	concept	NOUN
cana-4537	11	3	of	of	ADP
cana-4537	11	4	fuzzy	fuzzy	ADJ
cana-4537	11	5	differential	differential	ADJ
cana-4537	11	6	elution	elution	NOUN
cana-4537	11	7	was	be	AUX
cana-4537	11	8	first	first	ADV
cana-4537	11	9	introduced	introduce	VERB
cana-4537	11	10	by	by	ADP
cana-4537	11	11	kandel	kandel	PROPN
cana-4537	11	12	,	,	PUNCT
cana-4537	11	13	a.	a.	NOUN
cana-4537	11	14	and	and	CCONJ
cana-4537	11	15	byatt	byatt	PROPN
cana-4537	11	16	,	,	PUNCT
cana-4537	11	17	w.j	w.j	PROPN
cana-4537	12	1	[	[	X
cana-4537	12	2	1	1	NUM
cana-4537	12	3	]	]	PUNCT
cana-4537	12	4	in	in	ADP
cana-4537	12	5	1978	1978	NUM
cana-4537	12	6	.	.	PUNCT
cana-4537	12	7	followed	follow	VERB
cana-4537	12	8	by	by	ADP
cana-4537	12	9	in	in	ADP
cana-4537	12	10	1982	1982	NUM
cana-4537	12	11	dubois	dubois	PROPN
cana-4537	12	12	and	and	CCONJ
cana-4537	12	13	prade	prade	NOUN
cana-4537	12	14	[	[	X
cana-4537	12	15	2	2	NUM
cana-4537	12	16	]	]	PUNCT
cana-4537	12	17	,	,	PUNCT
cana-4537	12	18	[	[	X
cana-4537	12	19	3	3	NUM
cana-4537	12	20	]	]	PUNCT
cana-4537	12	21	,	,	PUNCT
cana-4537	12	22	[	[	X
cana-4537	12	23	4	4	X
cana-4537	12	24	]	]	PUNCT
cana-4537	12	25	discuss	discuss	VERB
cana-4537	12	26	about	about	ADP
cana-4537	12	27	derivative	derivative	NOUN
cana-4537	12	28	of	of	ADP
cana-4537	12	29	crisp	crisp	ADJ
cana-4537	12	30	function	function	NOUN
cana-4537	12	31	at	at	ADP
cana-4537	12	32	fuzzy	fuzzy	ADJ
cana-4537	12	33	point	point	NOUN
cana-4537	12	34	and	and	CCONJ
cana-4537	12	35	derivative	derivative	NOUN
cana-4537	12	36	of	of	ADP
cana-4537	12	37	fuzzy	fuzzy	ADJ
cana-4537	12	38	function	function	NOUN
cana-4537	12	39	at	at	ADP
cana-4537	12	40	crisp	crisp	ADJ
cana-4537	12	41	point	point	NOUN
cana-4537	12	42	.	.	PUNCT
cana-4537	13	1	in	in	ADP
cana-4537	13	2	1985	1985	NUM
cana-4537	13	3	,	,	PUNCT
cana-4537	13	4	kaleva	kaleva	PROPN
cana-4537	13	5	,	,	PUNCT
cana-4537	13	6	o.	o.	PROPN
cana-4537	14	1	[	[	X
cana-4537	14	2	6	6	X
cana-4537	14	3	]	]	PUNCT
cana-4537	14	4	mention	mention	VERB
cana-4537	14	5	a	a	DET
cana-4537	14	6	differentiability	differentiability	NOUN
cana-4537	14	7	and	and	CCONJ
cana-4537	14	8	integrability	integrability	NOUN
cana-4537	14	9	of	of	ADP
cana-4537	14	10	fuzzy	fuzzy	ADJ
cana-4537	14	11	valued	value	VERB
cana-4537	14	12	function	function	NOUN
cana-4537	14	13	with	with	ADP
cana-4537	14	14	exitance	exitance	NOUN
cana-4537	14	15	and	and	CCONJ
cana-4537	14	16	uniqueness	uniqueness	VERB
cana-4537	14	17	its	its	PRON
cana-4537	14	18	solution	solution	NOUN
cana-4537	14	19	.	.	PUNCT
cana-4537	15	1	seikkala	seikkala	PROPN
cana-4537	15	2	,	,	PUNCT
cana-4537	15	3	s.	s.	PROPN
cana-4537	16	1	[	[	X
cana-4537	16	2	5	5	NUM
cana-4537	16	3	]	]	PUNCT
cana-4537	16	4	has	have	AUX
cana-4537	16	5	conveyed	convey	VERB
cana-4537	16	6	a	a	DET
cana-4537	16	7	use	use	NOUN
cana-4537	16	8	of	of	ADP
cana-4537	16	9	extension	extension	NOUN
cana-4537	16	10	principle	principle	NOUN
cana-4537	16	11	and	and	CCONJ
cana-4537	16	12	extremal	extremal	ADJ
cana-4537	16	13	solution	solution	NOUN
cana-4537	16	14	of	of	ADP
cana-4537	16	15	initial	initial	ADJ
cana-4537	16	16	value	value	NOUN
cana-4537	16	17	problems	problem	NOUN
cana-4537	16	18	to	to	PART
cana-4537	16	19	solve	solve	VERB
cana-4537	16	20	fuzzy	fuzzy	ADJ
cana-4537	16	21	differential	differential	ADJ
cana-4537	16	22	equation	equation	NOUN
cana-4537	16	23	in	in	ADP
cana-4537	16	24	1987	1987	NUM
cana-4537	16	25	.	.	PUNCT
cana-4537	17	1	in	in	ADP
cana-4537	17	2	the	the	DET
cana-4537	17	3	year	year	NOUN
cana-4537	17	4	1990	1990	NUM
cana-4537	17	5	,	,	PUNCT
cana-4537	17	6	baidosov	baidosov	PROPN
cana-4537	17	7	,	,	PUNCT
cana-4537	17	8	v.	v.	PROPN
cana-4537	18	1	[	[	X
cana-4537	18	2	21	21	NUM
cana-4537	18	3	]	]	PUNCT
cana-4537	18	4	and	and	CCONJ
cana-4537	18	5	hullermeier	hullermeier	ADJ
cana-4537	18	6	,	,	PUNCT
cana-4537	18	7	e	e	X
cana-4537	18	8	[	[	X
cana-4537	18	9	22	22	NUM
cana-4537	18	10	]	]	PUNCT
cana-4537	18	11	has	have	AUX
cana-4537	18	12	introduced	introduce	VERB
cana-4537	18	13	a	a	DET
cana-4537	18	14	differential	differential	ADJ
cana-4537	18	15	system	system	NOUN
cana-4537	18	16	with	with	ADP
cana-4537	18	17	fuzzy	fuzzy	ADJ
cana-4537	18	18	parameter	parameter	NOUN
cana-4537	18	19	known	know	VERB
cana-4537	18	20	as	as	ADP
cana-4537	18	21	fuzzy	fuzzy	ADJ
cana-4537	18	22	differential	differential	ADJ
cana-4537	18	23	inclusion	inclusion	NOUN
cana-4537	18	24	.	.	PUNCT
cana-4537	19	1	in	in	ADP
cana-4537	19	2	year	year	NOUN
cana-4537	19	3	1999	1999	NUM
cana-4537	19	4	,	,	PUNCT
cana-4537	19	5	oberguggenberger	oberguggenberger	AUX
cana-4537	19	6	,	,	PUNCT
cana-4537	19	7	m.	m.	NOUN
cana-4537	20	1	[	[	X
cana-4537	20	2	23	23	NUM
cana-4537	20	3	]	]	PUNCT
cana-4537	20	4	used	use	VERB
cana-4537	20	5	zadeh	zadeh	PROPN
cana-4537	20	6	’s	’s	PART
cana-4537	20	7	extension	extension	NOUN
cana-4537	20	8	principle	principle	NOUN
cana-4537	20	9	get	get	VERB
cana-4537	20	10	solution	solution	NOUN
cana-4537	20	11	to	to	ADP
cana-4537	20	12	fuzzy	fuzzy	ADJ
cana-4537	20	13	differential	differential	ADJ
cana-4537	20	14	equation	equation	NOUN
cana-4537	20	15	.	.	PUNCT
cana-4537	21	1	in	in	ADP
cana-4537	21	2	year	year	NOUN
cana-4537	21	3	2000	2000	NUM
cana-4537	21	4	,	,	PUNCT
cana-4537	21	5	buckley	buckley	NOUN
cana-4537	21	6	,	,	PUNCT
cana-4537	21	7	et.al	et.al	PROPN
cana-4537	21	8	.	.	PUNCT
cana-4537	22	1	[	[	X
cana-4537	22	2	9	9	NUM
cana-4537	22	3	]	]	PUNCT
cana-4537	22	4	acknowledge	acknowledge	VERB
cana-4537	22	5	a	a	DET
cana-4537	22	6	new	new	ADJ
cana-4537	22	7	solution	solution	NOUN
cana-4537	22	8	of	of	ADP
cana-4537	22	9	first	first	ADJ
cana-4537	22	10	order	order	NOUN
cana-4537	22	11	fuzzy	fuzzy	ADJ
cana-4537	22	12	initial	initial	ADJ
cana-4537	22	13	value	value	NOUN
cana-4537	22	14	problem	problem	NOUN
cana-4537	22	15	depends	depend	VERB
cana-4537	22	16	on	on	ADP
cana-4537	22	17	various	various	ADJ
cana-4537	22	18	categories	category	NOUN
cana-4537	22	19	of	of	ADP
cana-4537	22	20	derivatives	derivative	NOUN
cana-4537	22	21	of	of	ADP
cana-4537	22	22	fuzzy	fuzzy	ADJ
cana-4537	22	23	function	function	NOUN
cana-4537	22	24	.	.	PUNCT
cana-4537	23	1	park	park	NOUN
cana-4537	23	2	,	,	PUNCT
cana-4537	23	3	j.	j.	PROPN
cana-4537	23	4	han	han	PROPN
cana-4537	23	5	,	,	PUNCT
cana-4537	23	6	h.	h.	PROPN
cana-4537	24	1	[	[	X
cana-4537	24	2	10	10	NUM
cana-4537	24	3	]	]	PUNCT
cana-4537	24	4	discussed	discuss	VERB
cana-4537	24	5	a	a	DET
cana-4537	24	6	unique	unique	ADJ
cana-4537	24	7	fuzzy	fuzzy	ADJ
cana-4537	24	8	solution	solution	NOUN
cana-4537	24	9	of	of	ADP
cana-4537	24	10	differential	differential	ADJ
cana-4537	24	11	equation	equation	NOUN
cana-4537	24	12	under	under	ADP
cana-4537	24	13	fuzzy	fuzzy	ADJ
cana-4537	24	14	circumference	circumference	NOUN
cana-4537	24	15	applying	apply	VERB
cana-4537	24	16	successive	successive	ADJ
cana-4537	24	17	approximation	approximation	NOUN
cana-4537	24	18	method	method	NOUN
cana-4537	24	19	.	.	PUNCT
cana-4537	25	1	in	in	ADP
cana-4537	25	2	2008	2008	NUM
cana-4537	25	3	,	,	PUNCT
cana-4537	25	4	chaco	chaco	PROPN
cana-4537	25	5	-	-	PUNCT
cana-4537	25	6	cano	cano	PROPN
cana-4537	25	7	,	,	PUNCT
cana-4537	25	8	y.	y.	PROPN
cana-4537	25	9	and	and	CCONJ
cana-4537	25	10	romain	romain	PROPN
cana-4537	25	11	-	-	PUNCT
cana-4537	25	12	flores	flore	NOUN
cana-4537	25	13	,	,	PUNCT
cana-4537	25	14	h.	h.	PROPN
cana-4537	26	1	[	[	X
cana-4537	26	2	11	11	NUM
cana-4537	26	3	]	]	PUNCT
cana-4537	26	4	,	,	PUNCT
cana-4537	26	5	[	[	X
cana-4537	26	6	24	24	NUM
cana-4537	26	7	]	]	PUNCT
cana-4537	26	8	proposed	propose	VERB
cana-4537	26	9	a	a	DET
cana-4537	26	10	new	new	ADJ
cana-4537	26	11	solution	solution	NOUN
cana-4537	26	12	to	to	ADP
cana-4537	26	13	the	the	DET
cana-4537	26	14	fuzzy	fuzzy	ADJ
cana-4537	26	15	differential	differential	NOUN
cana-4537	26	16	equation	equation	NOUN
cana-4537	26	17	based	base	VERB
cana-4537	26	18	in	in	ADP
cana-4537	26	19	generalised	generalised	ADJ
cana-4537	26	20	h	h	NOUN
cana-4537	26	21	-	-	PUNCT
cana-4537	26	22	differentiability	differentiability	NOUN
cana-4537	26	23	and	and	CCONJ
cana-4537	26	24	πderivative	πderivative	ADJ
cana-4537	26	25	of	of	ADP
cana-4537	26	26	function	function	NOUN
cana-4537	26	27	.	.	PUNCT
cana-4537	27	1	in	in	ADP
cana-4537	27	2	2010	2010	NUM
cana-4537	27	3	,	,	PUNCT
cana-4537	27	4	bede	bede	NOUN
cana-4537	27	5	.	.	PUNCT
cana-4537	27	6	b.	b.	PROPN
cana-4537	27	7	et.al	et.al	PROPN
cana-4537	28	1	[	[	X
cana-4537	28	2	12	12	NUM
cana-4537	28	3	]	]	PUNCT
cana-4537	28	4	,	,	PUNCT
cana-4537	28	5	[	[	X
cana-4537	28	6	13	13	NUM
cana-4537	28	7	]	]	PUNCT
cana-4537	28	8	used	use	VERB
cana-4537	28	9	l	l	NOUN
cana-4537	28	10	-	-	PUNCT
cana-4537	28	11	r	r	NOUN
cana-4537	28	12	type	type	NOUN
cana-4537	28	13	fuzzy	fuzzy	ADJ
cana-4537	28	14	number	number	NOUN
cana-4537	28	15	as	as	ADP
cana-4537	28	16	starting	start	VERB
cana-4537	28	17	situation	situation	NOUN
cana-4537	28	18	of	of	ADP
cana-4537	28	19	fuzzy	fuzzy	ADJ
cana-4537	28	20	differential	differential	ADJ
cana-4537	28	21	equation	equation	NOUN
cana-4537	28	22	and	and	CCONJ
cana-4537	28	23	also	also	ADV
cana-4537	28	24	proposed	propose	VERB
cana-4537	28	25	two	two	NUM
cana-4537	28	26	general	general	ADJ
cana-4537	28	27	solutions	solution	NOUN
cana-4537	28	28	for	for	ADP
cana-4537	28	29	fuzzy	fuzzy	ADJ
cana-4537	28	30	differential	differential	ADJ
cana-4537	28	31	equation	equation	NOUN
cana-4537	28	32	with	with	ADP
cana-4537	28	33	existence	existence	PROPN
cana-4537	28	34	.	.	PUNCT
cana-4537	29	1	duraisamy	duraisamy	PROPN
cana-4537	29	2	,	,	PUNCT
cana-4537	29	3	c.	c.	PROPN
cana-4537	29	4	and	and	CCONJ
cana-4537	29	5	usha	usha	PROPN
cana-4537	29	6	,	,	PUNCT
cana-4537	29	7	b.	b.	PROPN
cana-4537	30	1	[	[	X
cana-4537	30	2	14	14	NUM
cana-4537	30	3	]	]	PUNCT
cana-4537	30	4	solved	solve	VERB
cana-4537	30	5	a	a	DET
cana-4537	30	6	fuzzy	fuzzy	ADJ
cana-4537	30	7	initial	initial	ADJ
cana-4537	30	8	value	value	NOUN
cana-4537	30	9	problem	problem	NOUN
cana-4537	30	10	of	of	ADP
cana-4537	30	11	first	first	ADJ
cana-4537	30	12	order	order	NOUN
cana-4537	30	13	by	by	ADP
cana-4537	30	14	using	use	VERB
cana-4537	30	15	third	third	ADJ
cana-4537	30	16	order	order	NOUN
cana-4537	30	17	runge	runge	NOUN
cana-4537	30	18	-	-	PUNCT
cana-4537	30	19	kutta	kutta	NOUN
cana-4537	30	20	method	method	NOUN
cana-4537	30	21	with	with	ADP
cana-4537	30	22	trapezoidal	trapezoidal	ADJ
cana-4537	30	23	fuzzy	fuzzy	ADJ
cana-4537	30	24	number	number	NOUN
cana-4537	30	25	as	as	ADP
cana-4537	30	26	initial	initial	ADJ
cana-4537	30	27	condition	condition	NOUN
cana-4537	30	28	.	.	PUNCT
cana-4537	31	1	salahshour	salahshour	PROPN
cana-4537	31	2	,	,	PUNCT
cana-4537	31	3	s.	s.	PROPN
cana-4537	32	1	[	[	X
cana-4537	32	2	15	15	NUM
cana-4537	32	3	]	]	X
cana-4537	32	4	in	in	ADP
cana-4537	32	5	2011	2011	NUM
cana-4537	32	6	,	,	PUNCT
cana-4537	32	7	has	have	AUX
cana-4537	32	8	promotes	promote	VERB
cana-4537	32	9	uniqueness	uniqueness	NOUN
cana-4537	32	10	and	and	CCONJ
cana-4537	32	11	existence	existence	NOUN
cana-4537	32	12	of	of	ADP
cana-4537	32	13	solution	solution	NOUN
cana-4537	32	14	of	of	ADP
cana-4537	32	15	nth	nth	NOUN
cana-4537	32	16	-	-	PUNCT
cana-4537	32	17	order	order	NOUN
cana-4537	32	18	fuzzy	fuzzy	ADJ
cana-4537	32	19	differential	differential	NOUN
cana-4537	32	20	equation	equation	NOUN
cana-4537	32	21	generalised	generalise	VERB
cana-4537	32	22	differentiability	differentiability	NOUN
cana-4537	32	23	in	in	ADP
cana-4537	32	24	banach	banach	NOUN
cana-4537	32	25	space	space	NOUN
cana-4537	32	26	.	.	PUNCT
cana-4537	33	1	plotnikov	plotnikov	PROPN
cana-4537	33	2	,	,	PUNCT
cana-4537	33	3	a.	a.	PROPN
cana-4537	33	4	mailto:dnyanesh02@gmail.com	mailto:dnyanesh02@gmail.com	PROPN
cana-4537	33	5	mailto:lemrajvandana@gmail.com	mailto:lemrajvandana@gmail.com	PROPN
cana-4537	33	6	communications	communication	NOUN
cana-4537	33	7	on	on	ADP
cana-4537	33	8	applied	apply	VERB
cana-4537	33	9	nonlinear	nonlinear	ADJ
cana-4537	33	10	analysis	analysis	NOUN
cana-4537	33	11	issn	issn	NOUN
cana-4537	33	12	:	:	PUNCT
cana-4537	33	13	1074	1074	NUM
cana-4537	33	14	-	-	PUNCT
cana-4537	33	15	133x	133x	NUM
cana-4537	33	16	vol	vol	NOUN
cana-4537	33	17	32	32	NUM
cana-4537	33	18	no	no	NOUN
cana-4537	33	19	.	.	PUNCT
cana-4537	34	1	9s	9s	NUM
cana-4537	34	2	(	(	PUNCT
cana-4537	34	3	2025	2025	NUM
cana-4537	34	4	)	)	PUNCT
cana-4537	34	5	2463	2463	NUM
cana-4537	34	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4537	34	7	with	with	ADP
cana-4537	34	8	skripnik	skripnik	NOUN
cana-4537	34	9	,	,	PUNCT
cana-4537	34	10	n.	n.	PROPN
cana-4537	35	1	[	[	X
cana-4537	35	2	25	25	NUM
cana-4537	35	3	]	]	PUNCT
cana-4537	35	4	in	in	ADP
cana-4537	35	5	2012	2012	NUM
cana-4537	35	6	,	,	PUNCT
cana-4537	35	7	emphasized	emphasize	VERB
cana-4537	35	8	on	on	ADP
cana-4537	35	9	new	new	ADJ
cana-4537	35	10	concept	concept	NOUN
cana-4537	35	11	of	of	ADP
cana-4537	35	12	fuzzy	fuzzy	ADJ
cana-4537	35	13	function	function	NOUN
cana-4537	35	14	generalized	generalize	VERB
cana-4537	35	15	derivative	derivative	ADJ
cana-4537	35	16	and	and	CCONJ
cana-4537	35	17	existence	existence	NOUN
cana-4537	35	18	of	of	ADP
cana-4537	35	19	a	a	DET
cana-4537	35	20	fuzzy	fuzzy	ADJ
cana-4537	35	21	differential	differential	NOUN
cana-4537	35	22	equation	equation	NOUN
cana-4537	35	23	.	.	PUNCT
cana-4537	36	1	in	in	ADP
cana-4537	36	2	year	year	NOUN
cana-4537	36	3	2013	2013	NUM
cana-4537	36	4	,	,	PUNCT
cana-4537	36	5	mondal	mondal	PROPN
cana-4537	36	6	,	,	PUNCT
cana-4537	36	7	s.	s.	PROPN
cana-4537	36	8	et.al	et.al	PROPN
cana-4537	37	1	[	[	X
cana-4537	37	2	16	16	NUM
cana-4537	37	3	]	]	PUNCT
cana-4537	37	4	,	,	PUNCT
cana-4537	37	5	[	[	X
cana-4537	37	6	18	18	NUM
cana-4537	37	7	]	]	PUNCT
cana-4537	37	8	has	have	AUX
cana-4537	37	9	discussed	discuss	VERB
cana-4537	37	10	a	a	DET
cana-4537	37	11	solution	solution	NOUN
cana-4537	37	12	of	of	ADP
cana-4537	37	13	homogeneous	homogeneous	ADJ
cana-4537	37	14	first	first	ADJ
cana-4537	37	15	order	order	NOUN
cana-4537	37	16	linear	linear	VERB
cana-4537	37	17	fuzzy	fuzzy	ADJ
cana-4537	37	18	differential	differential	ADJ
cana-4537	37	19	equation	equation	NOUN
cana-4537	37	20	using	use	VERB
cana-4537	37	21	method	method	NOUN
cana-4537	37	22	of	of	ADP
cana-4537	37	23	lagrange	lagrange	PROPN
cana-4537	37	24	multiplier	multipli	ADJ
cana-4537	37	25	and	and	CCONJ
cana-4537	37	26	intuitionistic	intuitionistic	ADJ
cana-4537	37	27	triangular	triangular	NOUN
cana-4537	37	28	fuzzy	fuzzy	ADJ
cana-4537	37	29	number	number	NOUN
cana-4537	37	30	and	and	CCONJ
cana-4537	37	31	in	in	ADP
cana-4537	37	32	year	year	NOUN
cana-4537	37	33	2014	2014	NUM
cana-4537	37	34	,	,	PUNCT
cana-4537	37	35	they	they	PRON
cana-4537	38	1	[	[	X
cana-4537	38	2	27	27	NUM
cana-4537	38	3	]	]	PUNCT
cana-4537	38	4	have	have	AUX
cana-4537	38	5	promotes	promote	VERB
cana-4537	38	6	solution	solution	NOUN
cana-4537	38	7	of	of	ADP
cana-4537	38	8	nonhomogeneous	nonhomogeneous	ADJ
cana-4537	38	9	fuzzy	fuzzy	ADJ
cana-4537	38	10	differential	differential	NOUN
cana-4537	38	11	equation	equation	NOUN
cana-4537	38	12	using	use	VERB
cana-4537	38	13	lagrange	lagrange	NOUN
cana-4537	38	14	multiplier	multipli	ADJ
cana-4537	38	15	method	method	NOUN
cana-4537	38	16	.	.	PUNCT
cana-4537	39	1	in	in	ADP
cana-4537	39	2	year	year	NOUN
cana-4537	39	3	2020	2020	NUM
cana-4537	39	4	alamin	alamin	PROPN
cana-4537	39	5	,	,	PUNCT
cana-4537	39	6	a.	a.	NOUN
cana-4537	39	7	et.al	et.al	PROPN
cana-4537	39	8	.	.	PUNCT
cana-4537	40	1	[	[	X
cana-4537	40	2	26	26	NUM
cana-4537	40	3	]	]	X
cana-4537	40	4	analyse	analyse	NOUN
cana-4537	40	5	a	a	DET
cana-4537	40	6	solution	solution	NOUN
cana-4537	40	7	of	of	ADP
cana-4537	40	8	non	non	ADJ
cana-4537	40	9	-	-	ADJ
cana-4537	40	10	homogeneous	homogeneous	ADJ
cana-4537	40	11	difference	difference	NOUN
cana-4537	40	12	equation	equation	NOUN
cana-4537	40	13	and	and	CCONJ
cana-4537	40	14	in	in	ADP
cana-4537	40	15	2023	2023	NUM
cana-4537	40	16	,	,	PUNCT
cana-4537	40	17	padmapriya	padmapriya	NOUN
cana-4537	40	18	,	,	PUNCT
cana-4537	40	19	v.	v.	PROPN
cana-4537	40	20	,	,	PUNCT
cana-4537	40	21	&	&	CCONJ
cana-4537	40	22	kaliyappan	kaliyappan	PROPN
cana-4537	40	23	,	,	PUNCT
cana-4537	40	24	m.	m.	NOUN
cana-4537	41	1	[	[	X
cana-4537	41	2	28	28	NUM
cana-4537	41	3	]	]	PUNCT
cana-4537	41	4	has	have	AUX
cana-4537	41	5	discussed	discuss	VERB
cana-4537	41	6	a	a	DET
cana-4537	41	7	solution	solution	NOUN
cana-4537	41	8	of	of	ADP
cana-4537	41	9	system	system	NOUN
cana-4537	41	10	of	of	ADP
cana-4537	41	11	non	non	ADJ
cana-4537	41	12	-	-	ADJ
cana-4537	41	13	homogeneous	homogeneous	ADJ
cana-4537	41	14	fuzzy	fuzzy	ADJ
cana-4537	41	15	fractional	fractional	ADJ
cana-4537	41	16	differential	differential	ADJ
cana-4537	41	17	equations	equation	NOUN
cana-4537	41	18	.	.	PUNCT
cana-4537	42	1	in	in	ADP
cana-4537	42	2	2024	2024	NUM
cana-4537	42	3	,	,	PUNCT
cana-4537	42	4	bawane	bawane	PROPN
cana-4537	42	5	d.p	d.p	PROPN
cana-4537	42	6	.	.	PROPN
cana-4537	43	1	and	and	CCONJ
cana-4537	43	2	ladke	ladke	NOUN
cana-4537	43	3	l.s	l.s	PROPN
cana-4537	43	4	.	.	PUNCT
cana-4537	44	1	[	[	X
cana-4537	44	2	29	29	NUM
cana-4537	44	3	]	]	PUNCT
cana-4537	44	4	has	have	AUX
cana-4537	44	5	discus	discus	VERB
cana-4537	44	6	a	a	DET
cana-4537	44	7	solution	solution	NOUN
cana-4537	44	8	for	for	ADP
cana-4537	44	9	the	the	DET
cana-4537	44	10	linear	linear	ADJ
cana-4537	44	11	fuzzy	fuzzy	ADJ
cana-4537	44	12	differential	differential	ADJ
cana-4537	44	13	equation	equation	NOUN
cana-4537	44	14	of	of	ADP
cana-4537	44	15	first	first	ADJ
cana-4537	44	16	order	order	NOUN
cana-4537	44	17	using	use	VERB
cana-4537	44	18	interval	interval	NOUN
cana-4537	44	19	arithmetic	arithmetic	ADJ
cana-4537	44	20	techniques	technique	NOUN
cana-4537	44	21	.	.	PUNCT
cana-4537	45	1	2	2	X
cana-4537	45	2	.	.	X
cana-4537	45	3	preliminaries	preliminary	NOUN
cana-4537	45	4	definition	definition	NOUN
cana-4537	45	5	2.1	2.1	NUM
cana-4537	45	6	:	:	PUNCT
cana-4537	45	7	fuzzy	fuzzy	ADJ
cana-4537	45	8	set	set	VERB
cana-4537	45	9	a	a	DET
cana-4537	45	10	set	set	ADJ
cana-4537	45	11	𝐴	𝐴	NOUN
cana-4537	45	12	define	define	VERB
cana-4537	45	13	on	on	ADP
cana-4537	45	14	universe	universe	NOUN
cana-4537	45	15	of	of	ADP
cana-4537	45	16	discourse	discourse	NOUN
cana-4537	45	17	𝑋	𝑋	NOUN
cana-4537	45	18	is	be	AUX
cana-4537	45	19	said	say	VERB
cana-4537	45	20	to	to	PART
cana-4537	45	21	be	be	AUX
cana-4537	45	22	fuzzy	fuzzy	ADJ
cana-4537	45	23	if	if	SCONJ
cana-4537	45	24	∀	∀	NUM
cana-4537	45	25	𝑡	𝑡	PART
cana-4537	45	26	∈	∈	PROPN
cana-4537	45	27	𝑋	𝑋	NOUN
cana-4537	45	28	,	,	PUNCT
cana-4537	45	29	membership	membership	NOUN
cana-4537	45	30	grade	grade	NOUN
cana-4537	45	31	of	of	ADP
cana-4537	45	32	belongings	belonging	NOUN
cana-4537	45	33	is	be	AUX
cana-4537	45	34	lies	lie	NOUN
cana-4537	45	35	between	between	ADP
cana-4537	45	36	[	[	X
cana-4537	45	37	0,1	0,1	NUM
cana-4537	45	38	]	]	X
cana-4537	45	39	⊂	⊂	PUNCT
cana-4537	45	40	ℝ	ℝ	PROPN
cana-4537	45	41	and	and	CCONJ
cana-4537	45	42	it	it	PRON
cana-4537	45	43	is	be	AUX
cana-4537	45	44	denoted	denote	VERB
cana-4537	45	45	and	and	CCONJ
cana-4537	45	46	define	define	VERB
cana-4537	45	47	as	as	ADP
cana-4537	45	48	𝐴	𝐴	PROPN
cana-4537	45	49	=	=	PUNCT
cana-4537	45	50	{	{	PUNCT
cana-4537	45	51	𝜇𝐴	𝜇𝐴	ADP
cana-4537	45	52	(	(	PUNCT
cana-4537	45	53	𝑡	𝑡	NOUN
cana-4537	45	54	)	)	PUNCT
cana-4537	45	55	𝑡	𝑡	VERB
cana-4537	45	56	|	|	ADV
cana-4537	45	57	𝑡	𝑡	PROPN
cana-4537	45	58	∈	∈	PROPN
cana-4537	45	59	𝑋	𝑋	NOUN
cana-4537	45	60	,	,	PUNCT
cana-4537	45	61	𝜇𝐴	𝜇𝐴	ADP
cana-4537	45	62	(	(	PUNCT
cana-4537	45	63	𝑡	𝑡	NOUN
cana-4537	45	64	)	)	PUNCT
cana-4537	45	65	∈	∈	NOUN
cana-4537	46	1	[	[	X
cana-4537	46	2	0,1	0,1	NUM
cana-4537	46	3	]	]	PUNCT
cana-4537	46	4	}	}	PUNCT
cana-4537	46	5	.	.	PUNCT
cana-4537	47	1	where	where	SCONJ
cana-4537	47	2	,	,	PUNCT
cana-4537	47	3	𝜇𝐴	𝜇𝐴	ADP
cana-4537	47	4	:	:	PUNCT
cana-4537	47	5	𝑋	𝑋	PROPN
cana-4537	47	6	→	→	SYM
cana-4537	47	7	[	[	X
cana-4537	47	8	0,1	0,1	NUM
cana-4537	47	9	]	]	PUNCT
cana-4537	47	10	is	be	AUX
cana-4537	47	11	the	the	DET
cana-4537	47	12	membership	membership	NOUN
cana-4537	47	13	grade	grade	NOUN
cana-4537	47	14	.	.	PUNCT
cana-4537	48	1	definition	definition	NOUN
cana-4537	48	2	2.2	2.2	NUM
cana-4537	48	3	:	:	PUNCT
cana-4537	48	4	α	α	NOUN
cana-4537	48	5	-	-	PUNCT
cana-4537	48	6	cut	cut	NOUN
cana-4537	48	7	of	of	ADP
cana-4537	48	8	fuzzy	fuzzy	ADJ
cana-4537	48	9	set	set	VERB
cana-4537	48	10	a	a	DET
cana-4537	48	11	crisp	crisp	ADJ
cana-4537	48	12	set	set	NOUN
cana-4537	48	13	obtained	obtain	VERB
cana-4537	48	14	from	from	ADP
cana-4537	48	15	a	a	DET
cana-4537	48	16	fuzzy	fuzzy	ADJ
cana-4537	48	17	set	set	NOUN
cana-4537	48	18	which	which	PRON
cana-4537	48	19	containing	contain	VERB
cana-4537	48	20	all	all	DET
cana-4537	48	21	elements	element	NOUN
cana-4537	48	22	whose	whose	DET
cana-4537	48	23	membership	membership	NOUN
cana-4537	48	24	grade	grade	NOUN
cana-4537	48	25	is	be	AUX
cana-4537	48	26	higher	high	ADJ
cana-4537	48	27	than	than	ADP
cana-4537	48	28	or	or	CCONJ
cana-4537	48	29	equal	equal	ADJ
cana-4537	48	30	to	to	ADP
cana-4537	48	31	the	the	DET
cana-4537	48	32	state	state	NOUN
cana-4537	48	33	value	value	NOUN
cana-4537	48	34	𝛼	𝛼	X
cana-4537	48	35	∈	∈	NOUN
cana-4537	49	1	[	[	X
cana-4537	49	2	0,1	0,1	NUM
cana-4537	49	3	]	]	PUNCT
cana-4537	49	4	is	be	AUX
cana-4537	49	5	known	know	VERB
cana-4537	49	6	as	as	ADP
cana-4537	49	7	α	α	NOUN
cana-4537	49	8	-	-	PUNCT
cana-4537	49	9	cut	cut	NOUN
cana-4537	49	10	of	of	ADP
cana-4537	49	11	fuzzy	fuzzy	ADJ
cana-4537	49	12	set	set	NOUN
cana-4537	49	13	.	.	PUNCT
cana-4537	50	1	it	it	PRON
cana-4537	50	2	is	be	AUX
cana-4537	50	3	represented	represent	VERB
cana-4537	50	4	as	as	ADP
cana-4537	50	5	as	as	ADP
cana-4537	50	6	a𝛼	a𝛼	ADP
cana-4537	50	7	=	=	PUNCT
cana-4537	50	8	{	{	PUNCT
cana-4537	50	9	𝑡𝑘|𝑡𝑘	𝑡𝑘|𝑡𝑘	PROPN
cana-4537	50	10	∈	∈	PROPN
cana-4537	50	11	𝑋	𝑋	NOUN
cana-4537	50	12	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
cana-4537	50	13	𝜇𝐴(𝑡𝑘	𝜇𝐴(𝑡𝑘	PROPN
cana-4537	50	14	)	)	PUNCT
cana-4537	50	15	≥	≥	NOUN
cana-4537	50	16	𝛼	𝛼	NOUN
cana-4537	50	17	}	}	PUNCT
cana-4537	50	18	.	.	PUNCT
cana-4537	51	1	definition	definition	NOUN
cana-4537	51	2	2.3	2.3	NUM
cana-4537	51	3	:	:	PUNCT
cana-4537	51	4	fuzzy	fuzzy	ADJ
cana-4537	51	5	set	set	NOUN
cana-4537	51	6	support	support	NOUN
cana-4537	51	7	a	a	DET
cana-4537	51	8	crisp	crisp	ADJ
cana-4537	51	9	set	set	NOUN
cana-4537	51	10	obtained	obtain	VERB
cana-4537	51	11	from	from	ADP
cana-4537	51	12	a	a	DET
cana-4537	51	13	fuzzy	fuzzy	ADJ
cana-4537	51	14	set	set	NOUN
cana-4537	51	15	with	with	ADP
cana-4537	51	16	all	all	DET
cana-4537	51	17	members	member	NOUN
cana-4537	51	18	whose	whose	DET
cana-4537	51	19	membership	membership	NOUN
cana-4537	51	20	grade	grade	NOUN
cana-4537	51	21	is	be	AUX
cana-4537	51	22	more	more	ADJ
cana-4537	51	23	than	than	ADP
cana-4537	51	24	0	0	NUM
cana-4537	51	25	is	be	AUX
cana-4537	51	26	known	know	VERB
cana-4537	51	27	fuzzy	fuzzy	ADJ
cana-4537	51	28	set	set	NOUN
cana-4537	51	29	support	support	NOUN
cana-4537	51	30	.	.	PUNCT
cana-4537	52	1	it	it	PRON
cana-4537	52	2	is	be	AUX
cana-4537	52	3	represented	represent	VERB
cana-4537	52	4	as	as	ADP
cana-4537	52	5	,	,	PUNCT
cana-4537	52	6	supp(𝐴	supp(𝐴	PROPN
cana-4537	52	7	)	)	PUNCT
cana-4537	52	8	=	=	PRON
cana-4537	53	1	{	{	PUNCT
cana-4537	53	2	𝑡	𝑡	X
cana-4537	53	3	|	|	ADV
cana-4537	53	4	𝑡	𝑡	PROPN
cana-4537	53	5	∈	∈	NOUN
cana-4537	53	6	𝑋	𝑋	PROPN
cana-4537	53	7	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
cana-4537	53	8	𝜇𝐴(𝑡	𝜇𝐴(𝑡	PROPN
cana-4537	53	9	)	)	PUNCT
cana-4537	53	10	>	>	X
cana-4537	53	11	0	0	NUM
cana-4537	53	12	}	}	PUNCT
cana-4537	53	13	.	.	PUNCT
cana-4537	54	1	definition	definition	NOUN
cana-4537	54	2	2.4	2.4	NUM
cana-4537	54	3	:	:	PUNCT
cana-4537	54	4	fuzzy	fuzzy	ADJ
cana-4537	54	5	set	set	NOUN
cana-4537	54	6	core	core	NOUN
cana-4537	54	7	it	it	PRON
cana-4537	54	8	is	be	AUX
cana-4537	54	9	classical	classical	ADJ
cana-4537	54	10	set	set	NOUN
cana-4537	54	11	of	of	ADP
cana-4537	54	12	elements	element	NOUN
cana-4537	54	13	𝑡	𝑡	NOUN
cana-4537	54	14	∈	∈	NOUN
cana-4537	54	15	𝑋	𝑋	NOUN
cana-4537	54	16	whose	whose	DET
cana-4537	54	17	membership	membership	NOUN
cana-4537	54	18	grade	grade	NOUN
cana-4537	54	19	of	of	ADP
cana-4537	54	20	belongingness	belongingness	NOUN
cana-4537	54	21	in	in	ADP
cana-4537	54	22	fuzzy	fuzzy	ADJ
cana-4537	54	23	set	set	NOUN
cana-4537	54	24	𝐴	𝐴	PROPN
cana-4537	54	25	equal	equal	ADJ
cana-4537	54	26	to	to	ADP
cana-4537	54	27	1	1	NUM
cana-4537	54	28	and	and	CCONJ
cana-4537	54	29	it	it	PRON
cana-4537	54	30	is	be	AUX
cana-4537	54	31	denoted	denote	VERB
cana-4537	54	32	as	as	SCONJ
cana-4537	54	33	follows	follow	VERB
cana-4537	54	34	core(𝐴	core(𝐴	PROPN
cana-4537	54	35	)	)	PUNCT
cana-4537	54	36	=	=	PRON
cana-4537	55	1	{	{	PUNCT
cana-4537	55	2	𝑡	𝑡	X
cana-4537	55	3	|	|	ADV
cana-4537	55	4	𝑡	𝑡	PROPN
cana-4537	55	5	∈	∈	NOUN
cana-4537	55	6	𝑋	𝑋	PROPN
cana-4537	55	7	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
cana-4537	55	8	𝜇𝐴(𝑡	𝜇𝐴(𝑡	PROPN
cana-4537	55	9	)	)	PUNCT
cana-4537	55	10	=	=	PUNCT
cana-4537	56	1	1	1	NUM
cana-4537	56	2	}	}	PUNCT
cana-4537	56	3	.	.	PUNCT
cana-4537	57	1	definition	definition	NOUN
cana-4537	57	2	2.5	2.5	NUM
cana-4537	57	3	:	:	PUNCT
cana-4537	57	4	arithmetic	arithmetic	PROPN
cana-4537	57	5	’s	’s	NOUN
cana-4537	57	6	on	on	ADP
cana-4537	57	7	closed	closed	ADJ
cana-4537	57	8	intervals	interval	NOUN
cana-4537	57	9	consider	consider	VERB
cana-4537	57	10	𝐴	𝐴	NOUN
cana-4537	57	11	=	=	PUNCT
cana-4537	58	1	[	[	X
cana-4537	58	2	𝑎1	𝑎1	ADV
cana-4537	58	3	,	,	PUNCT
cana-4537	58	4	𝑎2	𝑎2	PROPN
cana-4537	58	5	]	]	PUNCT
cana-4537	58	6	and	and	CCONJ
cana-4537	58	7	𝐵	𝐵	NOUN
cana-4537	58	8	=	=	PUNCT
cana-4537	59	1	[	[	X
cana-4537	59	2	𝑏1	𝑏1	NOUN
cana-4537	59	3	,	,	PUNCT
cana-4537	59	4	𝑏2	𝑏2	PROPN
cana-4537	59	5	]	]	PUNCT
cana-4537	59	6	are	be	AUX
cana-4537	59	7	two	two	NUM
cana-4537	59	8	closed	closed	ADJ
cana-4537	59	9	intervals	interval	NOUN
cana-4537	59	10	explain	explain	VERB
cana-4537	59	11	on	on	ADP
cana-4537	59	12	real	real	ADJ
cana-4537	59	13	number	number	NOUN
cana-4537	59	14	set	set	VERB
cana-4537	59	15	ℝ	ℝ	PROPN
cana-4537	59	16	in	in	ADP
cana-4537	59	17	such	such	DET
cana-4537	59	18	a	a	DET
cana-4537	59	19	way	way	NOUN
cana-4537	59	20	that	that	PRON
cana-4537	59	21	𝑎1	𝑎1	VERB
cana-4537	59	22	≤	≤	PUNCT
cana-4537	59	23	𝑎2	𝑎2	NOUN
cana-4537	59	24	and	and	CCONJ
cana-4537	59	25	𝑏1	𝑏1	ADJ
cana-4537	59	26	≤	≤	PROPN
cana-4537	59	27	𝑏2	𝑏2	NOUN
cana-4537	59	28	,	,	PUNCT
cana-4537	59	29	the	the	DET
cana-4537	59	30	arithmetic	arithmetic	NOUN
cana-4537	59	31	’s	’s	PART
cana-4537	59	32	such	such	ADJ
cana-4537	59	33	as	as	ADP
cana-4537	59	34	subtraction	subtraction	NOUN
cana-4537	59	35	and	and	CCONJ
cana-4537	59	36	addition	addition	NOUN
cana-4537	59	37	are	be	AUX
cana-4537	59	38	as	as	SCONJ
cana-4537	59	39	follows	follow	VERB
cana-4537	59	40	.	.	PUNCT
cana-4537	60	1	a	a	X
cana-4537	60	2	)	)	PUNCT
cana-4537	60	3	for	for	ADP
cana-4537	60	4	subtraction	subtraction	NOUN
cana-4537	60	5	:	:	PUNCT
cana-4537	60	6	𝐴	𝐴	PROPN
cana-4537	60	7	−	−	PROPN
cana-4537	60	8	𝐵	𝐵	NOUN
cana-4537	60	9	=	=	PUNCT
cana-4537	61	1	[	[	X
cana-4537	61	2	𝑎1	𝑎1	X
cana-4537	61	3	,	,	PUNCT
cana-4537	61	4	𝑎2	𝑎2	PROPN
cana-4537	61	5	]	]	PUNCT
cana-4537	61	6	−	−	PROPN
cana-4537	62	1	[	[	X
cana-4537	62	2	𝑏1	𝑏1	NOUN
cana-4537	62	3	,	,	PUNCT
cana-4537	62	4	𝑏2	𝑏2	NOUN
cana-4537	62	5	]	]	PUNCT
cana-4537	62	6	=	=	PUNCT
cana-4537	63	1	[	[	X
cana-4537	63	2	(	(	PUNCT
cana-4537	63	3	𝑎1	𝑎1	PROPN
cana-4537	63	4	−	−	PROPN
cana-4537	63	5	𝑏2	𝑏2	PROPN
cana-4537	63	6	)	)	PUNCT
cana-4537	63	7	,	,	PUNCT
cana-4537	63	8	(	(	PUNCT
cana-4537	63	9	𝑎2	𝑎2	NOUN
cana-4537	63	10	−	−	NOUN
cana-4537	63	11	𝑏1	𝑏1	NOUN
cana-4537	63	12	)	)	PUNCT
cana-4537	63	13	]	]	PUNCT
cana-4537	63	14	.	.	PUNCT
cana-4537	64	1	b	b	X
cana-4537	64	2	)	)	PUNCT
cana-4537	64	3	for	for	ADP
cana-4537	64	4	addition	addition	NOUN
cana-4537	64	5	:	:	PUNCT
cana-4537	64	6	𝐴	𝐴	NOUN
cana-4537	64	7	+	+	CCONJ
cana-4537	64	8	𝐵	𝐵	NOUN
cana-4537	64	9	=	=	PUNCT
cana-4537	65	1	[	[	X
cana-4537	65	2	𝑎1	𝑎1	X
cana-4537	65	3	,	,	PUNCT
cana-4537	65	4	𝑎2	𝑎2	NOUN
cana-4537	65	5	]	]	PUNCT
cana-4537	66	1	+	+	CCONJ
cana-4537	66	2	[	[	X
cana-4537	66	3	𝑏1	𝑏1	ADJ
cana-4537	66	4	,	,	PUNCT
cana-4537	66	5	𝑏2	𝑏2	NOUN
cana-4537	66	6	]	]	PUNCT
cana-4537	66	7	=	=	PUNCT
cana-4537	67	1	[	[	X
cana-4537	67	2	(	(	PUNCT
cana-4537	67	3	𝑎1	𝑎1	X
cana-4537	67	4	+	+	CCONJ
cana-4537	67	5	𝑏1	𝑏1	ADJ
cana-4537	67	6	)	)	PUNCT
cana-4537	67	7	,	,	PUNCT
cana-4537	67	8	(	(	PUNCT
cana-4537	67	9	𝑎2	𝑎2	PROPN
cana-4537	67	10	+	+	NUM
cana-4537	67	11	𝑏2	𝑏2	PROPN
cana-4537	67	12	)	)	PUNCT
cana-4537	67	13	]	]	PUNCT
cana-4537	68	1	definition	definition	NOUN
cana-4537	68	2	2.6	2.6	NUM
cana-4537	68	3	:	:	PUNCT
cana-4537	68	4	fuzzy	fuzzy	ADJ
cana-4537	68	5	number	number	NOUN
cana-4537	68	6	a	a	DET
cana-4537	68	7	fuzzy	fuzzy	ADJ
cana-4537	68	8	set	set	NOUN
cana-4537	68	9	𝐴	𝐴	PROPN
cana-4537	68	10	defines	define	VERB
cana-4537	68	11	on	on	ADP
cana-4537	68	12	set	set	NOUN
cana-4537	68	13	of	of	ADP
cana-4537	68	14	real	real	ADJ
cana-4537	68	15	number	number	NOUN
cana-4537	68	16	in	in	ADP
cana-4537	68	17	ℝ	ℝ	PROPN
cana-4537	68	18	is	be	AUX
cana-4537	68	19	said	say	VERB
cana-4537	68	20	to	to	PART
cana-4537	68	21	be	be	AUX
cana-4537	68	22	a	a	DET
cana-4537	68	23	fuzzy	fuzzy	ADJ
cana-4537	68	24	number	number	NOUN
cana-4537	68	25	as	as	ADV
cana-4537	68	26	long	long	ADV
cana-4537	68	27	as	as	SCONJ
cana-4537	68	28	it	it	PRON
cana-4537	68	29	fulfil	fulfil	VERB
cana-4537	68	30	the	the	DET
cana-4537	68	31	circumstances	circumstance	NOUN
cana-4537	68	32	as	as	ADP
cana-4537	68	33	below	below	ADV
cana-4537	68	34	(	(	PUNCT
cana-4537	68	35	i	i	NOUN
cana-4537	68	36	)	)	PUNCT
cana-4537	68	37	set	set	VERB
cana-4537	68	38	𝐴	𝐴	PROPN
cana-4537	68	39	is	be	AUX
cana-4537	68	40	normalize	normalize	VERB
cana-4537	68	41	fuzzy	fuzzy	ADJ
cana-4537	68	42	set	set	VERB
cana-4537	68	43	i.e.	i.e.	X
cana-4537	68	44	core	core	NOUN
cana-4537	68	45	of	of	ADP
cana-4537	68	46	fuzzy	fuzzy	ADJ
cana-4537	68	47	set	set	NOUN
cana-4537	68	48	is	be	AUX
cana-4537	68	49	non	non	ADJ
cana-4537	68	50	-	-	ADJ
cana-4537	68	51	void	void	ADJ
cana-4537	68	52	(	(	PUNCT
cana-4537	68	53	ii	ii	NOUN
cana-4537	68	54	)	)	PUNCT
cana-4537	68	55	support	support	NOUN
cana-4537	68	56	of	of	ADP
cana-4537	68	57	fuzzy	fuzzy	ADJ
cana-4537	68	58	set	set	NOUN
cana-4537	68	59	𝐴	𝐴	PROPN
cana-4537	68	60	is	be	AUX
cana-4537	68	61	constrained	constrain	VERB
cana-4537	68	62	.	.	PUNCT
cana-4537	69	1	i.e.	i.e.	X
cana-4537	69	2	for	for	ADP
cana-4537	69	3	real	real	ADJ
cana-4537	69	4	numbers	number	NOUN
cana-4537	69	5	𝜆1	𝜆1	NOUN
cana-4537	69	6	,	,	PUNCT
cana-4537	69	7	𝜆2	𝜆2	NOUN
cana-4537	69	8	∈	∈	PROPN
cana-4537	69	9	ℝ	ℝ	PROPN
cana-4537	69	10	there	there	PRON
cana-4537	69	11	exist	exist	VERB
cana-4537	69	12	𝑡	𝑡	X
cana-4537	69	13	∈	∈	PROPN
cana-4537	69	14	(	(	PUNCT
cana-4537	69	15	−∞	−∞	NOUN
cana-4537	69	16	,	,	PUNCT
cana-4537	69	17	𝜆1	𝜆1	NOUN
cana-4537	69	18	)	)	PUNCT
cana-4537	69	19	&	&	CCONJ
cana-4537	69	20	(	(	PUNCT
cana-4537	69	21	𝜆2	𝜆2	PROPN
cana-4537	69	22	,	,	PUNCT
cana-4537	69	23	∞	∞	PROPN
cana-4537	69	24	)	)	PUNCT
cana-4537	69	25	such	such	ADJ
cana-4537	69	26	that	that	PRON
cana-4537	69	27	𝜇𝐴(t	𝜇𝐴(t	NUM
cana-4537	69	28	)	)	PUNCT
cana-4537	69	29	=	=	SYM
cana-4537	70	1	0	0	X
cana-4537	70	2	.	.	PUNCT
cana-4537	70	3	(	(	PUNCT
cana-4537	70	4	iii	iii	X
cana-4537	70	5	)	)	PUNCT
cana-4537	70	6	every	every	DET
cana-4537	70	7	α	α	NOUN
cana-4537	70	8	-	-	PUNCT
cana-4537	70	9	cut	cut	ADJ
cana-4537	70	10	set	set	NOUN
cana-4537	70	11	are	be	AUX
cana-4537	70	12	closed	closed	ADJ
cana-4537	70	13	intervals	interval	NOUN
cana-4537	70	14	.	.	PUNCT
cana-4537	71	1	communications	communication	NOUN
cana-4537	71	2	on	on	ADP
cana-4537	71	3	applied	apply	VERB
cana-4537	71	4	nonlinear	nonlinear	ADJ
cana-4537	71	5	analysis	analysis	NOUN
cana-4537	71	6	issn	issn	NOUN
cana-4537	71	7	:	:	PUNCT
cana-4537	71	8	1074	1074	NUM
cana-4537	71	9	-	-	PUNCT
cana-4537	71	10	133x	133x	NUM
cana-4537	71	11	vol	vol	NOUN
cana-4537	71	12	32	32	NUM
cana-4537	71	13	no	no	NOUN
cana-4537	71	14	.	.	PUNCT
cana-4537	72	1	9s	9s	NUM
cana-4537	72	2	(	(	PUNCT
cana-4537	72	3	2025	2025	NUM
cana-4537	72	4	)	)	PUNCT
cana-4537	72	5	2464	2464	NUM
cana-4537	72	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4537	72	7	i.e.	i.e.	X
cana-4537	72	8	for	for	ADP
cana-4537	72	9	every	every	DET
cana-4537	72	10			X
cana-4537	72	11	∈	∈	PROPN
cana-4537	72	12	[	[	X
cana-4537	72	13	0,1	0,1	NUM
cana-4537	72	14	]	]	PUNCT
cana-4537	72	15	,	,	PUNCT
cana-4537	73	1	𝐴α	𝐴α	NOUN
cana-4537	73	2	=	=	PUNCT
cana-4537	74	1	[	[	X
cana-4537	74	2	𝑎α	𝑎α	X
cana-4537	74	3	,	,	PUNCT
cana-4537	74	4	𝑏α	𝑏α	NOUN
cana-4537	74	5	]	]	PUNCT
cana-4537	74	6	is	be	AUX
cana-4537	74	7	closed	closed	ADJ
cana-4537	74	8	interval	interval	NOUN
cana-4537	74	9	.	.	PUNCT
cana-4537	75	1	definition	definition	NOUN
cana-4537	75	2	2.7	2.7	NUM
cana-4537	75	3	:	:	PUNCT
cana-4537	75	4	triangular	triangular	NOUN
cana-4537	75	5	fuzzy	fuzzy	ADJ
cana-4537	75	6	number	number	NOUN
cana-4537	75	7	(	(	PUNCT
cana-4537	75	8	tnf	tnf	PROPN
cana-4537	75	9	)	)	PUNCT
cana-4537	75	10	a	a	DET
cana-4537	75	11	triangular	triangular	NOUN
cana-4537	75	12	fuzzy	fuzzy	ADJ
cana-4537	75	13	number	number	NOUN
cana-4537	75	14	‘	'	PUNCT
cana-4537	75	15	a	a	DET
cana-4537	75	16	’	'	PUNCT
cana-4537	75	17	characterize	characterize	NOUN
cana-4537	75	18	with	with	ADP
cana-4537	75	19	three	three	NUM
cana-4537	75	20	points	point	NOUN
cana-4537	75	21	[	[	X
cana-4537	75	22	𝑎1	𝑎1	INTJ
cana-4537	75	23	,	,	PUNCT
cana-4537	75	24	𝑎2	𝑎2	PROPN
cana-4537	75	25	,	,	PUNCT
cana-4537	75	26	𝑎3	𝑎3	PROPN
cana-4537	75	27	]	]	PUNCT
cana-4537	75	28	with	with	ADP
cana-4537	75	29	membership	membership	NOUN
cana-4537	75	30	function	function	NOUN
cana-4537	75	31	𝜇𝐴(𝑡	𝜇𝐴(𝑡	PROPN
cana-4537	75	32	)	)	PUNCT
cana-4537	75	33	=	=	PRON
cana-4537	75	34	{	{	PUNCT
cana-4537	75	35	0	0	NUM
cana-4537	75	36	,	,	PUNCT
cana-4537	75	37	𝑖𝑓	𝑖𝑓	VERB
cana-4537	75	38	𝑡	𝑡	X
cana-4537	75	39	<	<	X
cana-4537	75	40	𝑎1	𝑎1	PROPN
cana-4537	75	41	𝑎𝑛𝑑	𝑎𝑛𝑑	PROPN
cana-4537	75	42	𝑡	𝑡	PROPN
cana-4537	75	43	>	>	X
cana-4537	75	44	𝑎3	𝑎3	PROPN
cana-4537	76	1	𝑡	𝑡	PROPN
cana-4537	76	2	−	−	NOUN
cana-4537	77	1	𝑎1	𝑎1	INTJ
cana-4537	77	2	𝑎2	𝑎2	NOUN
cana-4537	77	3	−	−	PROPN
cana-4537	78	1	𝑎1	𝑎1	INTJ
cana-4537	78	2	,	,	PUNCT
cana-4537	78	3	𝑖𝑓	𝑖𝑓	ADP
cana-4537	78	4	𝑎1	𝑎1	X
cana-4537	78	5	≤	≤	NUM
cana-4537	79	1	𝑡	𝑡	PROPN
cana-4537	79	2	≤	≤	PROPN
cana-4537	79	3	𝑎2	𝑎2	NOUN
cana-4537	79	4	𝑎3	𝑎3	PROPN
cana-4537	79	5	−	−	PROPN
cana-4537	79	6	𝑡	𝑡	PROPN
cana-4537	79	7	𝑎3	𝑎3	NOUN
cana-4537	79	8	−	−	PROPN
cana-4537	79	9	𝑎2	𝑎2	NOUN
cana-4537	79	10	,	,	PUNCT
cana-4537	79	11	𝑖𝑓	𝑖𝑓	ADP
cana-4537	79	12	𝑎2	𝑎2	NOUN
cana-4537	79	13	≤	≤	NUM
cana-4537	80	1	𝑡	𝑡	PROPN
cana-4537	80	2	≤	≤	NUM
cana-4537	80	3	𝑎3	𝑎3	NOUN
cana-4537	80	4	and	and	CCONJ
cana-4537	80	5	α	α	VERB
cana-4537	80	6	-	-	PUNCT
cana-4537	80	7	cut	cut	VERB
cana-4537	80	8	set	set	NOUN
cana-4537	80	9	is	be	AUX
cana-4537	80	10	𝐴𝛼	𝐴𝛼	PROPN
cana-4537	80	11	=	=	PUNCT
cana-4537	81	1	[	[	X
cana-4537	81	2	𝑎1	𝑎1	X
cana-4537	81	3	+	+	CCONJ
cana-4537	81	4	𝛼	𝛼	X
cana-4537	81	5	(	(	PUNCT
cana-4537	81	6	𝑎2	𝑎2	NOUN
cana-4537	81	7	−	−	PROPN
cana-4537	81	8	𝑎1	𝑎1	PROPN
cana-4537	81	9	)	)	PUNCT
cana-4537	81	10	,	,	PUNCT
cana-4537	81	11	𝑎3	𝑎3	PROPN
cana-4537	81	12	−	−	PROPN
cana-4537	81	13	𝛼	𝛼	PROPN
cana-4537	81	14	(	(	PUNCT
cana-4537	81	15	𝑎3	𝑎3	PROPN
cana-4537	81	16	−	−	PROPN
cana-4537	81	17	𝑎2	𝑎2	PROPN
cana-4537	81	18	)	)	PUNCT
cana-4537	81	19	]	]	PUNCT
cana-4537	82	1	=	=	PUNCT
cana-4537	83	1	[	[	X
cana-4537	83	2	𝑎1	𝑎1	X
cana-4537	83	3	+	+	CCONJ
cana-4537	83	4	αℒ	αℒ	PROPN
cana-4537	83	5	,	,	PUNCT
cana-4537	83	6	𝑎3	𝑎3	PROPN
cana-4537	83	7	−	−	PROPN
cana-4537	83	8	αℛ	αℛ	PROPN
cana-4537	83	9	]	]	PUNCT
cana-4537	83	10	,	,	PUNCT
cana-4537	83	11	here	here	ADV
cana-4537	83	12	ℒ	ℒ	NOUN
cana-4537	83	13	=	=	PUNCT
cana-4537	83	14	(	(	PUNCT
cana-4537	83	15	𝑎2	𝑎2	NOUN
cana-4537	83	16	−	−	NOUN
cana-4537	83	17	𝑎1	𝑎1	PROPN
cana-4537	83	18	)	)	PUNCT
cana-4537	83	19	>	>	PUNCT
cana-4537	83	20	0	0	PROPN
cana-4537	83	21	&	&	CCONJ
cana-4537	83	22	ℛ	ℛ	PROPN
cana-4537	83	23	=	=	SYM
cana-4537	83	24	(	(	PUNCT
cana-4537	83	25	𝑎3	𝑎3	PROPN
cana-4537	83	26	−	−	PROPN
cana-4537	83	27	𝑎2	𝑎2	PROPN
cana-4537	83	28	)	)	PUNCT
cana-4537	83	29	>	>	X
cana-4537	84	1	0	0	X
cana-4537	84	2	.	.	PUNCT
cana-4537	85	1	if	if	SCONJ
cana-4537	85	2	ℒ	ℒ	PROPN
cana-4537	85	3	=	=	SYM
cana-4537	85	4	ℛ	ℛ	NOUN
cana-4537	85	5	,	,	PUNCT
cana-4537	85	6	triangular	triangular	ADJ
cana-4537	85	7	fuzzy	fuzzy	ADJ
cana-4537	85	8	number	number	NOUN
cana-4537	85	9	a	a	NOUN
cana-4537	85	10	=	=	NOUN
cana-4537	86	1	[	[	X
cana-4537	86	2	𝑎1	𝑎1	INTJ
cana-4537	86	3	,	,	PUNCT
cana-4537	86	4	𝑎2	𝑎2	PROPN
cana-4537	86	5	,	,	PUNCT
cana-4537	86	6	𝑎3	𝑎3	PROPN
cana-4537	86	7	]	]	PUNCT
cana-4537	86	8	is	be	AUX
cana-4537	86	9	symmetric	symmetric	ADJ
cana-4537	86	10	in	in	ADP
cana-4537	86	11	nature	nature	NOUN
cana-4537	86	12	.	.	PUNCT
cana-4537	87	1	definition	definition	NOUN
cana-4537	87	2	2.8	2.8	NUM
cana-4537	87	3	:	:	PUNCT
cana-4537	87	4	first	first	ADJ
cana-4537	87	5	order	order	NOUN
cana-4537	87	6	homogeneous	homogeneous	ADJ
cana-4537	87	7	fuzzy	fuzzy	ADJ
cana-4537	87	8	differential	differential	ADJ
cana-4537	87	9	equation	equation	NOUN
cana-4537	87	10	equation	equation	NOUN
cana-4537	87	11	(	(	PUNCT
cana-4537	87	12	𝑡	𝑡	PROPN
cana-4537	87	13	,	,	PUNCT
cana-4537	87	14	𝑦	𝑦	NOUN
cana-4537	87	15	,	,	PUNCT
cana-4537	87	16	𝑑𝑦	𝑑𝑦	ADP
cana-4537	87	17	𝑑𝑡	𝑑𝑡	ADP
cana-4537	87	18	)	)	PUNCT
cana-4537	87	19	=	=	SYM
cana-4537	87	20	0	0	NUM
cana-4537	87	21	,	,	PUNCT
cana-4537	87	22	𝑦(𝑡0	𝑦(𝑡0	NOUN
cana-4537	87	23	)	)	PUNCT
cana-4537	88	1	=	=	NOUN
cana-4537	88	2	𝑦0	𝑦0	NOUN
cana-4537	88	3	is	be	AUX
cana-4537	88	4	homogeneous	homogeneous	ADJ
cana-4537	88	5	fuzzy	fuzzy	ADJ
cana-4537	88	6	differential	differential	ADJ
cana-4537	88	7	equation	equation	NOUN
cana-4537	88	8	of	of	ADP
cana-4537	88	9	first	first	ADJ
cana-4537	88	10	order	order	NOUN
cana-4537	88	11	,	,	PUNCT
cana-4537	88	12	if	if	SCONJ
cana-4537	88	13	initial	initial	ADJ
cana-4537	88	14	value	value	NOUN
cana-4537	88	15	𝑦0	𝑦0	NOUN
cana-4537	88	16	is	be	AUX
cana-4537	88	17	fuzzy	fuzzy	ADJ
cana-4537	88	18	valued	value	VERB
cana-4537	88	19	number	number	NOUN
cana-4537	88	20	and	and	CCONJ
cana-4537	88	21	hence	hence	ADV
cana-4537	88	22	its	its	PRON
cana-4537	88	23	solution	solution	NOUN
cana-4537	88	24	is	be	AUX
cana-4537	88	25	also	also	ADV
cana-4537	88	26	a	a	DET
cana-4537	88	27	fuzzy	fuzzy	ADJ
cana-4537	88	28	solution	solution	NOUN
cana-4537	88	29	.	.	PUNCT
cana-4537	89	1	definition	definition	NOUN
cana-4537	89	2	2.9	2.9	NUM
cana-4537	89	3	:	:	PUNCT
cana-4537	89	4	nonhomogeneous	nonhomogeneous	ADJ
cana-4537	89	5	first	first	ADJ
cana-4537	89	6	order	order	NOUN
cana-4537	89	7	fuzzy	fuzzy	ADJ
cana-4537	89	8	differential	differential	ADJ
cana-4537	89	9	equation	equation	NOUN
cana-4537	89	10	equation	equation	NOUN
cana-4537	89	11	(	(	PUNCT
cana-4537	89	12	𝑡	𝑡	PROPN
cana-4537	89	13	,	,	PUNCT
cana-4537	89	14	𝑦	𝑦	NOUN
cana-4537	89	15	,	,	PUNCT
cana-4537	89	16	𝑑𝑦	𝑑𝑦	ADP
cana-4537	89	17	𝑑𝑡	𝑑𝑡	ADP
cana-4537	89	18	)	)	PUNCT
cana-4537	89	19	≠	≠	PROPN
cana-4537	89	20	0	0	NUM
cana-4537	89	21	,	,	PUNCT
cana-4537	89	22	𝑦(𝑡0	𝑦(𝑡0	NOUN
cana-4537	89	23	)	)	PUNCT
cana-4537	90	1	=	=	NOUN
cana-4537	90	2	𝑦0	𝑦0	NOUN
cana-4537	90	3	is	be	AUX
cana-4537	90	4	nonhomogeneous	nonhomogeneous	ADJ
cana-4537	90	5	fuzzy	fuzzy	ADJ
cana-4537	90	6	differential	differential	ADJ
cana-4537	90	7	equation	equation	NOUN
cana-4537	90	8	of	of	ADP
cana-4537	90	9	first	first	ADJ
cana-4537	90	10	order	order	NOUN
cana-4537	90	11	,	,	PUNCT
cana-4537	90	12	where	where	SCONJ
cana-4537	90	13	initial	initial	ADJ
cana-4537	90	14	value	value	NOUN
cana-4537	90	15	𝑦0	𝑦0	NOUN
cana-4537	90	16	is	be	AUX
cana-4537	90	17	fuzzy	fuzzy	ADJ
cana-4537	90	18	valued	value	VERB
cana-4537	90	19	number	number	NOUN
cana-4537	90	20	and	and	CCONJ
cana-4537	90	21	hence	hence	ADV
cana-4537	90	22	its	its	PRON
cana-4537	90	23	solution	solution	NOUN
cana-4537	90	24	is	be	AUX
cana-4537	90	25	also	also	ADV
cana-4537	90	26	a	a	DET
cana-4537	90	27	fuzzy	fuzzy	ADJ
cana-4537	90	28	solution	solution	NOUN
cana-4537	90	29	.	.	PUNCT
cana-4537	91	1	definition	definition	NOUN
cana-4537	91	2	2.10	2.10	NUM
cana-4537	91	3	:	:	PUNCT
cana-4537	91	4	strong	strong	ADJ
cana-4537	91	5	and	and	CCONJ
cana-4537	91	6	weak	weak	ADJ
cana-4537	91	7	solution	solution	NOUN
cana-4537	91	8	let	let	VERB
cana-4537	91	9	𝑓	𝑓	PRON
cana-4537	91	10	(	(	PUNCT
cana-4537	91	11	𝑡	𝑡	PROPN
cana-4537	91	12	,	,	PUNCT
cana-4537	91	13	𝑦	𝑦	NOUN
cana-4537	91	14	,	,	PUNCT
cana-4537	91	15	𝑑𝑦	𝑑𝑦	ADP
cana-4537	91	16	𝑑𝑡	𝑑𝑡	ADP
cana-4537	91	17	)	)	PUNCT
cana-4537	92	1	=	=	SYM
cana-4537	92	2	0	0	NUM
cana-4537	93	1	≠	≠	PROPN
cana-4537	93	2	0	0	NUM
cana-4537	93	3	,	,	PUNCT
cana-4537	93	4	𝑦(𝑡0	𝑦(𝑡0	NOUN
cana-4537	93	5	)	)	PUNCT
cana-4537	94	1	=	=	NOUN
cana-4537	94	2	𝑦0	𝑦0	NOUN
cana-4537	94	3	is	be	AUX
cana-4537	94	4	the	the	DET
cana-4537	94	5	fuzzy	fuzzy	ADJ
cana-4537	94	6	differential	differential	ADJ
cana-4537	94	7	equation	equation	NOUN
cana-4537	94	8	of	of	ADP
cana-4537	94	9	first	first	ADJ
cana-4537	94	10	order	order	NOUN
cana-4537	94	11	,	,	PUNCT
cana-4537	94	12	where	where	SCONJ
cana-4537	94	13	initial	initial	ADJ
cana-4537	94	14	condition	condition	NOUN
cana-4537	94	15	𝑦0	𝑦0	NOUN
cana-4537	94	16	is	be	AUX
cana-4537	94	17	fuzzy	fuzzy	ADJ
cana-4537	94	18	value	value	NOUN
cana-4537	94	19	then	then	ADV
cana-4537	94	20	solution	solution	NOUN
cana-4537	94	21	𝑦(𝑡	𝑦(𝑡	PROPN
cana-4537	94	22	)	)	PUNCT
cana-4537	94	23	is	be	AUX
cana-4537	94	24	strong	strong	ADJ
cana-4537	94	25	solution	solution	NOUN
cana-4537	94	26	provided	provide	VERB
cana-4537	94	27	it	it	PRON
cana-4537	94	28	’s	’	VERB
cana-4537	94	29	α	α	NOUN
cana-4537	94	30	-	-	PUNCT
cana-4537	94	31	cut	cut	VERB
cana-4537	94	32	,	,	PUNCT
cana-4537	94	33	𝑦(𝑡	𝑦(𝑡	NUM
cana-4537	94	34	,	,	PUNCT
cana-4537	94	35	α	α	NOUN
cana-4537	94	36	)	)	PUNCT
cana-4537	94	37	=	=	PUNCT
cana-4537	95	1	[	[	X
cana-4537	95	2	𝑦1(𝑡	𝑦1(𝑡	X
cana-4537	95	3	,	,	PUNCT
cana-4537	95	4	α	α	NOUN
cana-4537	95	5	)	)	PUNCT
cana-4537	95	6	,	,	PUNCT
cana-4537	95	7	𝑦2(𝑡	𝑦2(𝑡	PROPN
cana-4537	95	8	,	,	PUNCT
cana-4537	95	9	α	α	NOUN
cana-4537	95	10	)	)	PUNCT
cana-4537	95	11	]	]	PUNCT
cana-4537	95	12	satisfy	satisfy	NOUN
cana-4537	95	13	following	follow	VERB
cana-4537	95	14	conditions	condition	NOUN
cana-4537	95	15	(	(	PUNCT
cana-4537	95	16	i	i	NOUN
cana-4537	95	17	)	)	PUNCT
cana-4537	95	18	𝜕𝑦1(𝑡,α	𝜕𝑦1(𝑡,α	PROPN
cana-4537	95	19	)	)	PUNCT
cana-4537	95	20	𝜕α	𝜕α	PROPN
cana-4537	95	21	>	>	X
cana-4537	95	22	0	0	PUNCT
cana-4537	96	1	and	and	CCONJ
cana-4537	96	2	(	(	PUNCT
cana-4537	96	3	ii	ii	NOUN
cana-4537	96	4	)	)	PUNCT
cana-4537	96	5	𝜕𝑦2(𝑡,α	𝜕𝑦2(𝑡,α	NUM
cana-4537	96	6	)	)	PUNCT
cana-4537	96	7	𝜕α	𝜕α	PUNCT
cana-4537	96	8	<	<	X
cana-4537	96	9	0	0	NUM
cana-4537	96	10	,	,	PUNCT
cana-4537	96	11	otherwise	otherwise	ADV
cana-4537	96	12	it	it	PRON
cana-4537	96	13	is	be	AUX
cana-4537	96	14	a	a	DET
cana-4537	96	15	weak	weak	ADJ
cana-4537	96	16	solution	solution	NOUN
cana-4537	96	17	.	.	PUNCT
cana-4537	97	1	3	3	X
cana-4537	97	2	.	.	X
cana-4537	97	3	case	case	NOUN
cana-4537	97	4	study	study	NOUN
cana-4537	97	5	consider	consider	VERB
cana-4537	97	6	a	a	DET
cana-4537	97	7	non	non	ADJ
cana-4537	97	8	-	-	ADJ
cana-4537	97	9	homogeneous	homogeneous	ADJ
cana-4537	97	10	first	first	ADJ
cana-4537	97	11	order	order	NOUN
cana-4537	97	12	linear	linear	VERB
cana-4537	97	13	fuzzy	fuzzy	ADJ
cana-4537	97	14	differential	differential	ADJ
cana-4537	97	15	equation	equation	NOUN
cana-4537	97	16	𝑑𝑦(𝑡	𝑑𝑦(𝑡	PUNCT
cana-4537	97	17	)	)	PUNCT
cana-4537	97	18	𝑑𝑡	𝑑𝑡	ADP
cana-4537	97	19	+	+	ADJ
cana-4537	97	20	𝑃(𝑡)𝑦(𝑡	𝑃(𝑡)𝑦(𝑡	ADJ
cana-4537	97	21	)	)	PUNCT
cana-4537	97	22	=	=	SYM
cana-4537	97	23	𝑄(𝑡	𝑄(𝑡	PRON
cana-4537	97	24	)	)	PUNCT
cana-4537	97	25	(	(	PUNCT
cana-4537	97	26	1	1	X
cana-4537	97	27	)	)	PUNCT
cana-4537	97	28	with	with	ADP
cana-4537	97	29	𝑦	𝑦	NOUN
cana-4537	97	30	̃(𝑡	̃(𝑡	NOUN
cana-4537	97	31	)	)	PUNCT
cana-4537	97	32	=	=	SYM
cana-4537	97	33	𝑦(𝑡0	𝑦(𝑡0	NOUN
cana-4537	97	34	)	)	PUNCT
cana-4537	97	35	=	=	PUNCT
cana-4537	98	1	[	[	X
cana-4537	98	2	𝑎1	𝑎1	X
cana-4537	98	3	,	,	PUNCT
cana-4537	98	4	𝑎2	𝑎2	NOUN
cana-4537	98	5	,	,	PUNCT
cana-4537	98	6	𝑎3	𝑎3	PROPN
cana-4537	98	7	]	]	PUNCT
cana-4537	98	8	is	be	AUX
cana-4537	98	9	tfn	tfn	NOUN
cana-4537	98	10	.	.	PUNCT
cana-4537	99	1	here	here	ADV
cana-4537	99	2	𝑃(𝑡	𝑃(𝑡	NUM
cana-4537	99	3	)	)	PUNCT
cana-4537	99	4	and	and	CCONJ
cana-4537	99	5	𝑄(𝑡	𝑄(𝑡	PRON
cana-4537	99	6	)	)	PUNCT
cana-4537	99	7	are	be	AUX
cana-4537	99	8	any	any	DET
cana-4537	99	9	functions	function	NOUN
cana-4537	99	10	of	of	ADP
cana-4537	99	11	real	real	ADV
cana-4537	99	12	valued	value	VERB
cana-4537	99	13	variable	variable	NOUN
cana-4537	99	14	𝑡.	𝑡.	VERB
cana-4537	99	15	the	the	DET
cana-4537	99	16	solution	solution	NOUN
cana-4537	99	17	of	of	ADP
cana-4537	99	18	equation	equation	NOUN
cana-4537	99	19	(	(	PUNCT
cana-4537	99	20	1	1	X
cana-4537	99	21	)	)	PUNCT
cana-4537	99	22	is	be	AUX
cana-4537	99	23	value	value	NOUN
cana-4537	99	24	of	of	ADP
cana-4537	99	25	dependent	dependent	ADJ
cana-4537	99	26	variable	variable	ADJ
cana-4537	99	27	𝑦(𝑡	𝑦(𝑡	NOUN
cana-4537	99	28	)	)	PUNCT
cana-4537	99	29	whose	whose	DET
cana-4537	99	30	α	α	NOUN
cana-4537	99	31	-	-	PUNCT
cana-4537	99	32	cut	cut	VERB
cana-4537	99	33	interval	interval	NOUN
cana-4537	99	34	is	be	AUX
cana-4537	99	35	denoted	denote	VERB
cana-4537	99	36	as	as	ADP
cana-4537	99	37	𝑦(𝑡	𝑦(𝑡	NUM
cana-4537	99	38	)	)	PUNCT
cana-4537	100	1	=	=	SYM
cana-4537	100	2	[	[	PUNCT
cana-4537	100	3	𝑦1(𝑡	𝑦1(𝑡	NOUN
cana-4537	100	4	,	,	PUNCT
cana-4537	100	5	𝛼	𝛼	NOUN
cana-4537	100	6	)	)	PUNCT
cana-4537	100	7	,	,	PUNCT
cana-4537	100	8	𝑦2(𝑡	𝑦2(𝑡	PROPN
cana-4537	100	9	,	,	PUNCT
cana-4537	100	10	𝛼	𝛼	NOUN
cana-4537	100	11	)	)	PUNCT
cana-4537	100	12	]	]	PUNCT
cana-4537	100	13	and	and	CCONJ
cana-4537	100	14	the	the	DET
cana-4537	100	15	α	α	NOUN
cana-4537	100	16	-	-	PUNCT
cana-4537	100	17	cut	cut	VERB
cana-4537	100	18	interval	interval	NOUN
cana-4537	100	19	of	of	ADP
cana-4537	100	20	given	give	VERB
cana-4537	100	21	initial	initial	ADJ
cana-4537	100	22	condition	condition	NOUN
cana-4537	100	23	is	be	AUX
cana-4537	100	24	denoted	denote	VERB
cana-4537	100	25	as	as	ADP
cana-4537	100	26	𝑦(𝑡0	𝑦(𝑡0	NOUN
cana-4537	100	27	)	)	PUNCT
cana-4537	101	1	=	=	PUNCT
cana-4537	102	1	[	[	X
cana-4537	102	2	𝑎1	𝑎1	X
cana-4537	102	3	+	+	CCONJ
cana-4537	102	4	αℒ	αℒ	PROPN
cana-4537	102	5	,	,	PUNCT
cana-4537	102	6	𝑎3	𝑎3	PROPN
cana-4537	102	7	−	−	PROPN
cana-4537	102	8	αℛ	αℛ	NUM
cana-4537	102	9	]	]	X
cana-4537	103	1	=	=	X
cana-4537	103	2	[	[	PUNCT
cana-4537	103	3	𝑦1(𝑡0	𝑦1(𝑡0	NOUN
cana-4537	103	4	,	,	PUNCT
cana-4537	103	5	𝛼	𝛼	NOUN
cana-4537	103	6	)	)	PUNCT
cana-4537	103	7	,	,	PUNCT
cana-4537	103	8	𝑦2(𝑡0	𝑦2(𝑡0	NUM
cana-4537	103	9	,	,	PUNCT
cana-4537	103	10	𝛼	𝛼	NOUN
cana-4537	103	11	)	)	PUNCT
cana-4537	103	12	]	]	PUNCT
cana-4537	103	13	where	where	SCONJ
cana-4537	103	14	,	,	PUNCT
cana-4537	103	15	ℒ	ℒ	NOUN
cana-4537	103	16	=	=	SYM
cana-4537	103	17	(	(	PUNCT
cana-4537	103	18	𝑎2	𝑎2	NOUN
cana-4537	103	19	−	−	NOUN
cana-4537	103	20	𝑎1	𝑎1	PROPN
cana-4537	103	21	)	)	PUNCT
cana-4537	103	22	>	>	PUNCT
cana-4537	103	23	0	0	PUNCT
cana-4537	104	1	and	and	CCONJ
cana-4537	104	2	ℛ	ℛ	PROPN
cana-4537	104	3	=	=	SYM
cana-4537	104	4	(	(	PUNCT
cana-4537	104	5	𝑎3	𝑎3	PROPN
cana-4537	104	6	−	−	PROPN
cana-4537	104	7	𝑎2	𝑎2	PROPN
cana-4537	104	8	)	)	PUNCT
cana-4537	104	9	>	>	X
cana-4537	104	10	0	0	X
cana-4537	104	11	.	.	PUNCT
cana-4537	105	1	case	case	NOUN
cana-4537	105	2	-	-	PUNCT
cana-4537	105	3	i	i	PRON
cana-4537	105	4	:	:	PUNCT
cana-4537	105	5	if	if	SCONJ
cana-4537	105	6	𝑃(𝑡	𝑃(𝑡	NOUN
cana-4537	105	7	)	)	PUNCT
cana-4537	105	8	and	and	CCONJ
cana-4537	105	9	𝑄(𝑡)are	𝑄(𝑡)are	VERB
cana-4537	105	10	any	any	DET
cana-4537	105	11	real	real	ADV
cana-4537	105	12	valued	value	VERB
cana-4537	105	13	functions	function	NOUN
cana-4537	105	14	an	an	DET
cana-4537	105	15	α	α	NOUN
cana-4537	105	16	-	-	PUNCT
cana-4537	105	17	cut	cut	NOUN
cana-4537	105	18	of	of	ADP
cana-4537	105	19	differential	differential	ADJ
cana-4537	105	20	equation	equation	NOUN
cana-4537	105	21	(	(	PUNCT
cana-4537	105	22	1	1	X
cana-4537	105	23	)	)	PUNCT
cana-4537	105	24	is	be	AUX
cana-4537	105	25	communications	communication	NOUN
cana-4537	105	26	on	on	ADP
cana-4537	105	27	applied	apply	VERB
cana-4537	105	28	nonlinear	nonlinear	ADJ
cana-4537	105	29	analysis	analysis	NOUN
cana-4537	105	30	issn	issn	NOUN
cana-4537	105	31	:	:	PUNCT
cana-4537	105	32	1074	1074	NUM
cana-4537	105	33	-	-	PUNCT
cana-4537	105	34	133x	133x	NUM
cana-4537	105	35	vol	vol	NOUN
cana-4537	105	36	32	32	NUM
cana-4537	105	37	no	no	NOUN
cana-4537	105	38	.	.	PUNCT
cana-4537	106	1	9s	9s	NUM
cana-4537	106	2	(	(	PUNCT
cana-4537	106	3	2025	2025	NUM
cana-4537	106	4	)	)	PUNCT
cana-4537	106	5	2465	2465	NUM
cana-4537	106	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4537	106	7	[	[	PUNCT
cana-4537	106	8	𝑑𝑦1(𝑡,∝	𝑑𝑦1(𝑡,∝	PROPN
cana-4537	106	9	)	)	PUNCT
cana-4537	106	10	𝑑𝑡	𝑑𝑡	ADP
cana-4537	106	11	,	,	PUNCT
cana-4537	106	12	𝑑𝑦2(𝑡,∝	𝑑𝑦2(𝑡,∝	PROPN
cana-4537	106	13	)	)	PUNCT
cana-4537	106	14	𝑑𝑡	𝑑𝑡	ADP
cana-4537	106	15	]	]	PUNCT
cana-4537	106	16	+	+	NUM
cana-4537	106	17	𝑃(𝑡)[𝑦1(𝑡	𝑃(𝑡)[𝑦1(𝑡	NOUN
cana-4537	106	18	,	,	PUNCT
cana-4537	106	19	∝	∝	PROPN
cana-4537	106	20	)	)	PUNCT
cana-4537	106	21	,	,	PUNCT
cana-4537	106	22	𝑦2(𝑡	𝑦2(𝑡	PROPN
cana-4537	106	23	,	,	PUNCT
cana-4537	106	24	∝	∝	PROPN
cana-4537	106	25	)	)	PUNCT
cana-4537	106	26	]	]	PUNCT
cana-4537	107	1	=	=	PUNCT
cana-4537	107	2	𝑄(𝑡	𝑄(𝑡	NOUN
cana-4537	107	3	)	)	PUNCT
cana-4537	107	4	i.e.	i.e.	X
cana-4537	107	5	𝑑𝑦1(𝑡,∝	𝑑𝑦1(𝑡,∝	NOUN
cana-4537	107	6	)	)	PUNCT
cana-4537	107	7	𝑑𝑡	𝑑𝑡	ADP
cana-4537	107	8	+	+	ADJ
cana-4537	107	9	𝑃(𝑡)𝑦1(𝑡	𝑃(𝑡)𝑦1(𝑡	PROPN
cana-4537	107	10	,	,	PUNCT
cana-4537	107	11	∝	∝	X
cana-4537	107	12	)	)	PUNCT
cana-4537	107	13	=	=	SYM
cana-4537	107	14	𝑄(𝑡	𝑄(𝑡	NOUN
cana-4537	107	15	)	)	PUNCT
cana-4537	107	16	(	(	PUNCT
cana-4537	107	17	2	2	NUM
cana-4537	107	18	)	)	PUNCT
cana-4537	107	19	𝑑𝑦2(𝑡,∝	𝑑𝑦2(𝑡,∝	PROPN
cana-4537	107	20	)	)	PUNCT
cana-4537	107	21	𝑑𝑡	𝑑𝑡	ADP
cana-4537	107	22	+	+	ADJ
cana-4537	107	23	𝑃(𝑡)𝑦2(𝑡	𝑃(𝑡)𝑦2(𝑡	PROPN
cana-4537	107	24	,	,	PUNCT
cana-4537	107	25	∝	∝	X
cana-4537	107	26	)	)	PUNCT
cana-4537	107	27	=	=	SYM
cana-4537	107	28	𝑄(𝑡	𝑄(𝑡	PRON
cana-4537	107	29	)	)	PUNCT
cana-4537	107	30	(	(	PUNCT
cana-4537	107	31	3	3	X
cana-4537	107	32	)	)	PUNCT
cana-4537	107	33	since	since	SCONJ
cana-4537	107	34	𝑃(𝑡	𝑃(𝑡	NUM
cana-4537	107	35	)	)	PUNCT
cana-4537	107	36	is	be	AUX
cana-4537	107	37	real	real	ADV
cana-4537	107	38	valued	value	VERB
cana-4537	107	39	function	function	NOUN
cana-4537	107	40	,	,	PUNCT
cana-4537	107	41	the	the	DET
cana-4537	107	42	integrating	integrating	NOUN
cana-4537	107	43	factor	factor	NOUN
cana-4537	107	44	is	be	AUX
cana-4537	107	45	𝐼(𝑡	𝐼(𝑡	PROPN
cana-4537	107	46	)	)	PUNCT
cana-4537	108	1	=	=	SYM
cana-4537	108	2	𝑒∫𝑃(𝑡)𝑑𝑡	𝑒∫𝑃(𝑡)𝑑𝑡	NOUN
cana-4537	108	3	and	and	CCONJ
cana-4537	108	4	solutions	solution	NOUN
cana-4537	108	5	are	be	AUX
cana-4537	108	6	𝑦1(𝑡	𝑦1(𝑡	PROPN
cana-4537	108	7	,	,	PUNCT
cana-4537	108	8	∝	∝	PROPN
cana-4537	108	9	)	)	PUNCT
cana-4537	108	10	𝐼(𝑡	𝐼(𝑡	PROPN
cana-4537	108	11	)	)	PUNCT
cana-4537	108	12	=	=	SYM
cana-4537	108	13	∫𝑄(𝑡	∫𝑄(𝑡	ADJ
cana-4537	108	14	)	)	PUNCT
cana-4537	108	15	𝐼(𝑡)𝑑𝑡	𝐼(𝑡)𝑑𝑡	NOUN
cana-4537	108	16	+	+	X
cana-4537	108	17	𝐶1	𝐶1	PROPN
cana-4537	108	18	(	(	PUNCT
cana-4537	108	19	4	4	NUM
cana-4537	108	20	)	)	PUNCT
cana-4537	108	21	𝑦2(𝑡	𝑦2(𝑡	PROPN
cana-4537	108	22	,	,	PUNCT
cana-4537	108	23	∝	∝	PROPN
cana-4537	108	24	)	)	PUNCT
cana-4537	108	25	𝐼(𝑡	𝐼(𝑡	PROPN
cana-4537	108	26	)	)	PUNCT
cana-4537	108	27	=	=	SYM
cana-4537	108	28	∫𝑄(𝑡	∫𝑄(𝑡	ADJ
cana-4537	108	29	)	)	PUNCT
cana-4537	108	30	𝐼(𝑡)𝑑𝑡	𝐼(𝑡)𝑑𝑡	NOUN
cana-4537	108	31	+	+	CCONJ
cana-4537	108	32	𝐶2	𝐶2	ADJ
cana-4537	108	33	(	(	PUNCT
cana-4537	108	34	5	5	NUM
cana-4537	108	35	)	)	PUNCT
cana-4537	108	36	at	at	ADP
cana-4537	108	37	𝑡	𝑡	PROPN
cana-4537	108	38	=	=	SYM
cana-4537	108	39	𝑡0	𝑡0	PROPN
cana-4537	108	40	,	,	PUNCT
cana-4537	109	1	𝐶1	𝐶1	NOUN
cana-4537	109	2	=	=	SYM
cana-4537	109	3	𝑦1(𝑡0	𝑦1(𝑡0	NOUN
cana-4537	109	4	,	,	PUNCT
cana-4537	109	5	∝	∝	NOUN
cana-4537	109	6	)	)	PUNCT
cana-4537	109	7	𝐼(𝑡0	𝐼(𝑡0	PROPN
cana-4537	109	8	)	)	PUNCT
cana-4537	110	1	−	−	PROPN
cana-4537	110	2	(	(	PUNCT
cana-4537	110	3	∫𝑄(𝑡	∫𝑄(𝑡	PROPN
cana-4537	110	4	)	)	PUNCT
cana-4537	110	5	𝐼(𝑡)𝑑𝑡	𝐼(𝑡)𝑑𝑡	NOUN
cana-4537	110	6	)	)	PUNCT
cana-4537	110	7	𝑡=𝑡0	𝑡=𝑡0	PROPN
cana-4537	110	8	and	and	CCONJ
cana-4537	110	9	𝐶2	𝐶2	NOUN
cana-4537	111	1	=	=	NOUN
cana-4537	111	2	𝑦2(𝑡0	𝑦2(𝑡0	PROPN
cana-4537	111	3	,	,	PUNCT
cana-4537	111	4	∝	∝	NOUN
cana-4537	111	5	)	)	PUNCT
cana-4537	111	6	𝐼(𝑡0	𝐼(𝑡0	PROPN
cana-4537	111	7	)	)	PUNCT
cana-4537	111	8	−	−	PROPN
cana-4537	111	9	(	(	PUNCT
cana-4537	111	10	∫𝑄(𝑡	∫𝑄(𝑡	PROPN
cana-4537	111	11	)	)	PUNCT
cana-4537	111	12	𝐼(𝑡)𝑑𝑡	𝐼(𝑡)𝑑𝑡	NOUN
cana-4537	111	13	)	)	PUNCT
cana-4537	111	14	𝑡=𝑡0	𝑡=𝑡0	PROPN
cana-4537	111	15	and	and	CCONJ
cana-4537	111	16	from	from	ADP
cana-4537	111	17	equation	equation	NOUN
cana-4537	111	18	(	(	PUNCT
cana-4537	111	19	4	4	NUM
cana-4537	111	20	)	)	PUNCT
cana-4537	111	21	and	and	CCONJ
cana-4537	111	22	(	(	PUNCT
cana-4537	111	23	5	5	X
cana-4537	111	24	)	)	PUNCT
cana-4537	111	25	we	we	PRON
cana-4537	111	26	get	get	VERB
cana-4537	111	27	𝑦1(𝑡	𝑦1(𝑡	NOUN
cana-4537	111	28	,	,	PUNCT
cana-4537	111	29	∝	∝	X
cana-4537	111	30	)	)	PUNCT
cana-4537	112	1	=	=	PUNCT
cana-4537	112	2	(	(	PUNCT
cana-4537	112	3	𝐼(𝑡	𝐼(𝑡	NOUN
cana-4537	112	4	)	)	PUNCT
cana-4537	112	5	)	)	PUNCT
cana-4537	112	6	−1	−1	NOUN
cana-4537	112	7	{	{	PUNCT
cana-4537	112	8	∫𝑄(𝑡	∫𝑄(𝑡	ADJ
cana-4537	112	9	)	)	PUNCT
cana-4537	112	10	𝐼(𝑡)𝑑𝑡	𝐼(𝑡)𝑑𝑡	NOUN
cana-4537	112	11	+	+	CCONJ
cana-4537	112	12	(	(	PUNCT
cana-4537	112	13	𝑎1	𝑎1	X
cana-4537	112	14	+	+	NUM
cana-4537	112	15	αℒ	αℒ	NOUN
cana-4537	112	16	)	)	PUNCT
cana-4537	113	1	𝐼(𝑡0	𝐼(𝑡0	PROPN
cana-4537	113	2	)	)	PUNCT
cana-4537	113	3	−	−	PROPN
cana-4537	114	1	(	(	PUNCT
cana-4537	114	2	∫	∫	PROPN
cana-4537	114	3	𝑄(𝑡	𝑄(𝑡	NUM
cana-4537	114	4	)	)	PUNCT
cana-4537	114	5	𝐼(𝑡)𝑑𝑡	𝐼(𝑡)𝑑𝑡	NOUN
cana-4537	114	6	)	)	PUNCT
cana-4537	114	7	𝑡=𝑡0	𝑡=𝑡0	PROPN
cana-4537	114	8	}	}	PUNCT
cana-4537	114	9	(	(	PUNCT
cana-4537	114	10	6	6	NUM
cana-4537	114	11	)	)	PUNCT
cana-4537	114	12	𝑦2(𝑡	𝑦2(𝑡	PROPN
cana-4537	114	13	,	,	PUNCT
cana-4537	114	14	∝	∝	X
cana-4537	114	15	)	)	PUNCT
cana-4537	115	1	=	=	PUNCT
cana-4537	115	2	(	(	PUNCT
cana-4537	115	3	𝐼(𝑡	𝐼(𝑡	NOUN
cana-4537	115	4	)	)	PUNCT
cana-4537	115	5	)	)	PUNCT
cana-4537	115	6	−1	−1	NOUN
cana-4537	115	7	{	{	PUNCT
cana-4537	115	8	∫𝑄(𝑡	∫𝑄(𝑡	ADJ
cana-4537	115	9	)	)	PUNCT
cana-4537	115	10	𝐼(𝑡)𝑑𝑡	𝐼(𝑡)𝑑𝑡	NOUN
cana-4537	115	11	+	+	CCONJ
cana-4537	115	12	(	(	PUNCT
cana-4537	115	13	𝑎3	𝑎3	PROPN
cana-4537	115	14	−	−	PROPN
cana-4537	115	15	αℛ	αℛ	NUM
cana-4537	115	16	)	)	PUNCT
cana-4537	116	1	𝐼(𝑡0	𝐼(𝑡0	PROPN
cana-4537	116	2	)	)	PUNCT
cana-4537	117	1	−	−	PROPN
cana-4537	117	2	(	(	PUNCT
cana-4537	117	3	∫𝑄(𝑡	∫𝑄(𝑡	PROPN
cana-4537	117	4	)	)	PUNCT
cana-4537	117	5	𝐼(𝑡)𝑑𝑡	𝐼(𝑡)𝑑𝑡	NOUN
cana-4537	117	6	)	)	PUNCT
cana-4537	117	7	𝑡=𝑡0	𝑡=𝑡0	PROPN
cana-4537	117	8	}	}	PUNCT
cana-4537	117	9	(	(	PUNCT
cana-4537	117	10	7	7	X
cana-4537	117	11	)	)	PUNCT
cana-4537	117	12	are	be	AUX
cana-4537	117	13	satisfying	satisfy	VERB
cana-4537	117	14	a	a	DET
cana-4537	117	15	condition	condition	NOUN
cana-4537	117	16	of	of	ADP
cana-4537	117	17	strong	strong	ADJ
cana-4537	117	18	solution	solution	NOUN
cana-4537	117	19	i.e.	i.e.	X
cana-4537	117	20	𝜕𝑦1(𝑡,α	𝜕𝑦1(𝑡,α	NUM
cana-4537	117	21	)	)	PUNCT
cana-4537	117	22	𝜕α	𝜕α	PUNCT
cana-4537	117	23	=	=	PUNCT
cana-4537	117	24	ℒ𝐼(𝑡0)(𝐼(𝑡	ℒ𝐼(𝑡0)(𝐼(𝑡	ADJ
cana-4537	117	25	)	)	PUNCT
cana-4537	117	26	)	)	PUNCT
cana-4537	118	1	−1	−1	NOUN
cana-4537	118	2	>	>	X
cana-4537	118	3	0	0	PUNCT
cana-4537	118	4	and	and	CCONJ
cana-4537	118	5	𝜕𝑦2(𝑡,α	𝜕𝑦2(𝑡,α	NUM
cana-4537	118	6	)	)	PUNCT
cana-4537	118	7	𝜕α	𝜕α	PUNCT
cana-4537	119	1	=	=	PUNCT
cana-4537	119	2	−ℛ𝐼(𝑡0)(𝐼(𝑡	−ℛ𝐼(𝑡0)(𝐼(𝑡	PROPN
cana-4537	119	3	)	)	PUNCT
cana-4537	119	4	)	)	PUNCT
cana-4537	120	1	−1	−1	NOUN
cana-4537	120	2	<	<	X
cana-4537	120	3	0	0	X
cana-4537	120	4	.	.	PUNCT
cana-4537	121	1	hence	hence	ADV
cana-4537	121	2	,	,	PUNCT
cana-4537	121	3	based	base	VERB
cana-4537	121	4	on	on	ADP
cana-4537	121	5	α	α	NOUN
cana-4537	121	6	-	-	PUNCT
cana-4537	121	7	cut	cut	VERB
cana-4537	121	8	interval	interval	NOUN
cana-4537	121	9	arithmetic	arithmetic	NOUN
cana-4537	121	10	,	,	PUNCT
cana-4537	121	11	the	the	DET
cana-4537	121	12	solution	solution	NOUN
cana-4537	121	13	of	of	ADP
cana-4537	121	14	differential	differential	ADJ
cana-4537	121	15	equation	equation	NOUN
cana-4537	121	16	(	(	PUNCT
cana-4537	121	17	1	1	NUM
cana-4537	121	18	)	)	PUNCT
cana-4537	121	19	as	as	SCONJ
cana-4537	121	20	follows	follow	VERB
cana-4537	121	21	𝑦(𝑡	𝑦(𝑡	NUM
cana-4537	121	22	)	)	PUNCT
cana-4537	121	23	=	=	PUNCT
cana-4537	122	1	[	[	X
cana-4537	122	2	𝑦1(𝑡	𝑦1(𝑡	X
cana-4537	122	3	,	,	PUNCT
cana-4537	122	4	∝	∝	PROPN
cana-4537	122	5	)	)	PUNCT
cana-4537	122	6	,	,	PUNCT
cana-4537	122	7	𝑦1(𝑡	𝑦1(𝑡	PROPN
cana-4537	122	8	,	,	PUNCT
cana-4537	122	9	∝	∝	PROPN
cana-4537	122	10	)	)	PUNCT
cana-4537	122	11	,	,	PUNCT
cana-4537	122	12	𝑦2(𝑡	𝑦2(𝑡	PROPN
cana-4537	122	13	,	,	PUNCT
cana-4537	122	14	∝	∝	PROPN
cana-4537	122	15	)	)	PUNCT
cana-4537	122	16	,	,	PUNCT
cana-4537	122	17	𝑦2(𝑡	𝑦2(𝑡	PROPN
cana-4537	122	18	,	,	PUNCT
cana-4537	122	19	∝	∝	PROPN
cana-4537	122	20	)	)	PUNCT
cana-4537	122	21	]	]	PUNCT
cana-4537	123	1	=	=	PUNCT
cana-4537	123	2	(	(	PUNCT
cana-4537	123	3	𝐼(𝑡	𝐼(𝑡	NOUN
cana-4537	123	4	)	)	PUNCT
cana-4537	123	5	)	)	PUNCT
cana-4537	123	6	−1	−1	NOUN
cana-4537	123	7	{	{	PUNCT
cana-4537	123	8	∫	∫	PROPN
cana-4537	123	9	𝑄(𝑡	𝑄(𝑡	PART
cana-4537	123	10	)	)	PUNCT
cana-4537	123	11	𝐼(𝑡)𝑑𝑡	𝐼(𝑡)𝑑𝑡	NOUN
cana-4537	123	12	+	+	CCONJ
cana-4537	123	13	𝑦(𝑡0	𝑦(𝑡0	NOUN
cana-4537	123	14	)	)	PUNCT
cana-4537	123	15	𝐼(𝑡0	𝐼(𝑡0	PROPN
cana-4537	123	16	)	)	PUNCT
cana-4537	124	1	−	−	PROPN
cana-4537	125	1	(	(	PUNCT
cana-4537	125	2	∫𝑄(𝑡	∫𝑄(𝑡	PROPN
cana-4537	125	3	)	)	PUNCT
cana-4537	125	4	𝐼(𝑡)𝑑𝑡	𝐼(𝑡)𝑑𝑡	NOUN
cana-4537	125	5	)	)	PUNCT
cana-4537	125	6	𝑡=𝑡0	𝑡=𝑡0	PROPN
cana-4537	125	7	}	}	PUNCT
cana-4537	125	8	(	(	PUNCT
cana-4537	125	9	8)	8)	NUM
cana-4537	125	10	case	case	NOUN
cana-4537	125	11	-	-	PUNCT
cana-4537	125	12	ii	ii	NOUN
cana-4537	125	13	:	:	PUNCT
cana-4537	125	14	if	if	SCONJ
cana-4537	125	15	𝑃(𝑡	𝑃(𝑡	NOUN
cana-4537	125	16	)	)	PUNCT
cana-4537	125	17	is	be	AUX
cana-4537	125	18	real	real	ADV
cana-4537	125	19	valued	value	VERB
cana-4537	125	20	function	function	NOUN
cana-4537	125	21	and	and	CCONJ
cana-4537	125	22	𝑄(𝑡	𝑄(𝑡	PRON
cana-4537	125	23	)	)	PUNCT
cana-4537	125	24	is	be	AUX
cana-4537	125	25	fuzzy	fuzzy	ADJ
cana-4537	125	26	function	function	NOUN
cana-4537	125	27	let	let	VERB
cana-4537	125	28	𝑄(𝑡	𝑄(𝑡	PRON
cana-4537	125	29	)	)	PUNCT
cana-4537	126	1	is	be	AUX
cana-4537	126	2	fuzzy	fuzzy	ADJ
cana-4537	126	3	valued	value	VERB
cana-4537	126	4	function	function	NOUN
cana-4537	126	5	such	such	ADJ
cana-4537	126	6	that	that	PRON
cana-4537	126	7	𝑖𝑛𝑓.	𝑖𝑛𝑓.	PUNCT
cana-4537	127	1	𝑄(𝑡	𝑄(𝑡	PRON
cana-4537	127	2	)	)	PUNCT
cana-4537	127	3	=	=	PUNCT
cana-4537	127	4	𝑄1(𝑡	𝑄1(𝑡	X
cana-4537	127	5	)	)	PUNCT
cana-4537	127	6	and	and	CCONJ
cana-4537	127	7	𝑠𝑢𝑝.	𝑠𝑢𝑝.	X
cana-4537	127	8	𝑄(𝑡	𝑄(𝑡	X
cana-4537	127	9	)	)	PUNCT
cana-4537	127	10	=	=	SYM
cana-4537	127	11	𝑄2(𝑡	𝑄2(𝑡	PROPN
cana-4537	127	12	)	)	PUNCT
cana-4537	127	13	then	then	ADV
cana-4537	127	14	,	,	PUNCT
cana-4537	127	15	α	α	X
cana-4537	127	16	-	-	PUNCT
cana-4537	127	17	cut	cut	NOUN
cana-4537	127	18	of	of	ADP
cana-4537	127	19	differential	differential	ADJ
cana-4537	127	20	equation	equation	NOUN
cana-4537	127	21	(	(	PUNCT
cana-4537	127	22	1	1	X
cana-4537	127	23	)	)	PUNCT
cana-4537	127	24	is	be	AUX
cana-4537	127	25	[	[	PUNCT
cana-4537	127	26	𝑑𝑦1(𝑡,∝	𝑑𝑦1(𝑡,∝	PROPN
cana-4537	127	27	)	)	PUNCT
cana-4537	127	28	𝑑𝑡	𝑑𝑡	ADP
cana-4537	127	29	,	,	PUNCT
cana-4537	127	30	𝑑𝑦2(𝑡,∝	𝑑𝑦2(𝑡,∝	PROPN
cana-4537	127	31	)	)	PUNCT
cana-4537	127	32	𝑑𝑡	𝑑𝑡	ADP
cana-4537	127	33	]	]	PUNCT
cana-4537	127	34	+	+	NUM
cana-4537	127	35	𝑃(𝑡)[𝑦1(𝑡	𝑃(𝑡)[𝑦1(𝑡	NOUN
cana-4537	127	36	,	,	PUNCT
cana-4537	127	37	∝	∝	PROPN
cana-4537	127	38	)	)	PUNCT
cana-4537	127	39	,	,	PUNCT
cana-4537	127	40	𝑦2(𝑡	𝑦2(𝑡	PROPN
cana-4537	127	41	,	,	PUNCT
cana-4537	127	42	∝	∝	PROPN
cana-4537	127	43	)	)	PUNCT
cana-4537	127	44	]	]	PUNCT
cana-4537	128	1	=	=	PUNCT
cana-4537	129	1	[	[	X
cana-4537	129	2	𝑄1(𝑡	𝑄1(𝑡	X
cana-4537	129	3	,	,	PUNCT
cana-4537	129	4	∝	∝	PROPN
cana-4537	129	5	)	)	PUNCT
cana-4537	129	6	,	,	PUNCT
cana-4537	129	7	𝑄2(𝑡	𝑄2(𝑡	PROPN
cana-4537	129	8	,	,	PUNCT
cana-4537	129	9	∝	∝	PROPN
cana-4537	129	10	)	)	PUNCT
cana-4537	129	11	]	]	PUNCT
cana-4537	129	12	i.e.	i.e.	X
cana-4537	129	13	𝑑𝑦1(𝑡,∝	𝑑𝑦1(𝑡,∝	NOUN
cana-4537	129	14	)	)	PUNCT
cana-4537	129	15	𝑑𝑡	𝑑𝑡	ADP
cana-4537	129	16	+	+	ADJ
cana-4537	129	17	𝑃(𝑡)𝑦1(𝑡	𝑃(𝑡)𝑦1(𝑡	PROPN
cana-4537	129	18	,	,	PUNCT
cana-4537	129	19	∝	∝	X
cana-4537	129	20	)	)	PUNCT
cana-4537	129	21	=	=	SYM
cana-4537	130	1	𝑄1(𝑡	𝑄1(𝑡	PROPN
cana-4537	130	2	,	,	PUNCT
cana-4537	130	3	∝	∝	PROPN
cana-4537	130	4	)	)	PUNCT
cana-4537	130	5	(	(	PUNCT
cana-4537	130	6	9	9	NUM
cana-4537	130	7	)	)	PUNCT
cana-4537	130	8	𝑑𝑦2(𝑡,∝	𝑑𝑦2(𝑡,∝	PROPN
cana-4537	130	9	)	)	PUNCT
cana-4537	130	10	𝑑𝑡	𝑑𝑡	ADP
cana-4537	130	11	+	+	ADJ
cana-4537	130	12	𝑃(𝑡)𝑦2(𝑡	𝑃(𝑡)𝑦2(𝑡	PROPN
cana-4537	130	13	,	,	PUNCT
cana-4537	130	14	∝	∝	X
cana-4537	130	15	)	)	PUNCT
cana-4537	130	16	=	=	SYM
cana-4537	131	1	𝑄2(𝑡	𝑄2(𝑡	PROPN
cana-4537	131	2	,	,	PUNCT
cana-4537	131	3	∝	∝	PROPN
cana-4537	131	4	)	)	PUNCT
cana-4537	131	5	(	(	PUNCT
cana-4537	131	6	10	10	NUM
cana-4537	131	7	)	)	PUNCT
cana-4537	131	8	since	since	SCONJ
cana-4537	131	9	𝑃(𝑡	𝑃(𝑡	NUM
cana-4537	131	10	)	)	PUNCT
cana-4537	131	11	is	be	AUX
cana-4537	131	12	real	real	ADV
cana-4537	131	13	valued	value	VERB
cana-4537	131	14	function	function	NOUN
cana-4537	131	15	,	,	PUNCT
cana-4537	131	16	the	the	DET
cana-4537	131	17	integrating	integrating	NOUN
cana-4537	131	18	factor	factor	NOUN
cana-4537	131	19	is	be	AUX
cana-4537	131	20	𝐼(𝑡	𝐼(𝑡	PROPN
cana-4537	131	21	)	)	PUNCT
cana-4537	132	1	=	=	SYM
cana-4537	132	2	𝑒∫𝑃(𝑡)𝑑𝑡	𝑒∫𝑃(𝑡)𝑑𝑡	NOUN
cana-4537	132	3	and	and	CCONJ
cana-4537	132	4	solutions	solution	NOUN
cana-4537	132	5	are	be	AUX
cana-4537	132	6	𝑦1(𝑡	𝑦1(𝑡	PROPN
cana-4537	132	7	,	,	PUNCT
cana-4537	132	8	∝	∝	PROPN
cana-4537	132	9	)	)	PUNCT
cana-4537	132	10	𝐼(𝑡	𝐼(𝑡	PROPN
cana-4537	132	11	)	)	PUNCT
cana-4537	132	12	=	=	SYM
cana-4537	132	13	∫𝑄1(𝑡	∫𝑄1(𝑡	NOUN
cana-4537	132	14	,	,	PUNCT
cana-4537	132	15	∝	∝	NOUN
cana-4537	132	16	)	)	PUNCT
cana-4537	132	17	𝐼(𝑡)𝑑𝑡	𝐼(𝑡)𝑑𝑡	NOUN
cana-4537	132	18	+	+	X
cana-4537	132	19	𝐶1	𝐶1	PROPN
cana-4537	132	20	(	(	PUNCT
cana-4537	132	21	11	11	NUM
cana-4537	132	22	)	)	PUNCT
cana-4537	132	23	𝑦2(𝑡	𝑦2(𝑡	PROPN
cana-4537	132	24	,	,	PUNCT
cana-4537	132	25	∝	∝	PROPN
cana-4537	132	26	)	)	PUNCT
cana-4537	132	27	𝐼(𝑡	𝐼(𝑡	PROPN
cana-4537	132	28	)	)	PUNCT
cana-4537	132	29	=	=	SYM
cana-4537	132	30	∫𝑄2(𝑡	∫𝑄2(𝑡	NOUN
cana-4537	132	31	,	,	PUNCT
cana-4537	132	32	∝	∝	PROPN
cana-4537	132	33	)	)	PUNCT
cana-4537	132	34	𝐼(𝑡)𝑑𝑡	𝐼(𝑡)𝑑𝑡	NOUN
cana-4537	132	35	+	+	CCONJ
cana-4537	132	36	𝐶2	𝐶2	X
cana-4537	132	37	(	(	PUNCT
cana-4537	132	38	12	12	NUM
cana-4537	132	39	)	)	PUNCT
cana-4537	132	40	at	at	ADP
cana-4537	132	41	𝑡	𝑡	PROPN
cana-4537	132	42	=	=	SYM
cana-4537	132	43	𝑡0	𝑡0	PROPN
cana-4537	132	44	,	,	PUNCT
cana-4537	133	1	𝐶1	𝐶1	NOUN
cana-4537	133	2	=	=	SYM
cana-4537	133	3	𝑦1(𝑡0	𝑦1(𝑡0	NOUN
cana-4537	133	4	,	,	PUNCT
cana-4537	133	5	∝	∝	NOUN
cana-4537	133	6	)	)	PUNCT
cana-4537	133	7	𝐼(𝑡0	𝐼(𝑡0	PROPN
cana-4537	133	8	)	)	PUNCT
cana-4537	134	1	−	−	PROPN
cana-4537	134	2	(	(	PUNCT
cana-4537	134	3	∫𝑄1(𝑡	∫𝑄1(𝑡	PROPN
cana-4537	134	4	,	,	PUNCT
cana-4537	134	5	∝	∝	NOUN
cana-4537	134	6	)	)	PUNCT
cana-4537	134	7	𝐼(𝑡)𝑑𝑡	𝐼(𝑡)𝑑𝑡	NOUN
cana-4537	134	8	)	)	PUNCT
cana-4537	134	9	𝑡=𝑡0	𝑡=𝑡0	NOUN
cana-4537	134	10	and	and	CCONJ
cana-4537	134	11	communications	communication	NOUN
cana-4537	134	12	on	on	ADP
cana-4537	134	13	applied	apply	VERB
cana-4537	134	14	nonlinear	nonlinear	ADJ
cana-4537	134	15	analysis	analysis	NOUN
cana-4537	134	16	issn	issn	NOUN
cana-4537	134	17	:	:	PUNCT
cana-4537	134	18	1074	1074	NUM
cana-4537	134	19	-	-	PUNCT
cana-4537	134	20	133x	133x	NUM
cana-4537	134	21	vol	vol	NOUN
cana-4537	134	22	32	32	NUM
cana-4537	134	23	no	no	NOUN
cana-4537	134	24	.	.	PUNCT
cana-4537	135	1	9s	9s	NUM
cana-4537	135	2	(	(	PUNCT
cana-4537	135	3	2025	2025	NUM
cana-4537	135	4	)	)	PUNCT
cana-4537	135	5	2466	2466	NUM
cana-4537	135	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4537	135	7	𝐶2	𝐶2	X
cana-4537	135	8	=	=	SYM
cana-4537	135	9	𝑦2(𝑡0	𝑦2(𝑡0	PROPN
cana-4537	135	10	,	,	PUNCT
cana-4537	135	11	∝	∝	NOUN
cana-4537	135	12	)	)	PUNCT
cana-4537	135	13	𝐼(𝑡0	𝐼(𝑡0	PROPN
cana-4537	135	14	)	)	PUNCT
cana-4537	136	1	−	−	PROPN
cana-4537	136	2	(	(	PUNCT
cana-4537	136	3	∫𝑄2(𝑡	∫𝑄2(𝑡	PROPN
cana-4537	136	4	,	,	PUNCT
cana-4537	136	5	∝	∝	PROPN
cana-4537	136	6	)	)	PUNCT
cana-4537	136	7	𝐼(𝑡)𝑑𝑡	𝐼(𝑡)𝑑𝑡	NOUN
cana-4537	136	8	)	)	PUNCT
cana-4537	136	9	𝑡=𝑡0	𝑡=𝑡0	PROPN
cana-4537	136	10	and	and	CCONJ
cana-4537	136	11	from	from	ADP
cana-4537	136	12	equation	equation	NOUN
cana-4537	136	13	(	(	PUNCT
cana-4537	136	14	11	11	NUM
cana-4537	136	15	)	)	PUNCT
cana-4537	136	16	and	and	CCONJ
cana-4537	136	17	(	(	PUNCT
cana-4537	136	18	12	12	NUM
cana-4537	136	19	)	)	PUNCT
cana-4537	136	20	we	we	PRON
cana-4537	136	21	get	get	VERB
cana-4537	136	22	𝑦1(𝑡	𝑦1(𝑡	NOUN
cana-4537	136	23	,	,	PUNCT
cana-4537	136	24	∝	∝	X
cana-4537	136	25	)	)	PUNCT
cana-4537	137	1	=	=	PUNCT
cana-4537	137	2	(	(	PUNCT
cana-4537	137	3	𝐼(𝑡	𝐼(𝑡	NOUN
cana-4537	137	4	)	)	PUNCT
cana-4537	137	5	)	)	PUNCT
cana-4537	137	6	−1	−1	NOUN
cana-4537	137	7	{	{	PUNCT
cana-4537	137	8	∫𝑄1(𝑡	∫𝑄1(𝑡	NOUN
cana-4537	137	9	,	,	PUNCT
cana-4537	137	10	∝	∝	NOUN
cana-4537	137	11	)	)	PUNCT
cana-4537	137	12	𝐼(𝑡)𝑑𝑡	𝐼(𝑡)𝑑𝑡	NOUN
cana-4537	137	13	+	+	CCONJ
cana-4537	137	14	(	(	PUNCT
cana-4537	137	15	𝑎1	𝑎1	X
cana-4537	137	16	+	+	NUM
cana-4537	137	17	αℒ	αℒ	NOUN
cana-4537	137	18	)	)	PUNCT
cana-4537	137	19	𝐼(𝑡0	𝐼(𝑡0	NOUN
cana-4537	137	20	)	)	PUNCT
cana-4537	138	1	−	−	PROPN
cana-4537	138	2	(	(	PUNCT
cana-4537	138	3	∫𝑄1(𝑡	∫𝑄1(𝑡	PROPN
cana-4537	138	4	,	,	PUNCT
cana-4537	138	5	∝	∝	NOUN
cana-4537	138	6	)	)	PUNCT
cana-4537	138	7	𝐼(𝑡)𝑑𝑡	𝐼(𝑡)𝑑𝑡	NOUN
cana-4537	138	8	)	)	PUNCT
cana-4537	138	9	𝑡=𝑡0	𝑡=𝑡0	PROPN
cana-4537	138	10	}	}	PUNCT
cana-4537	138	11	(	(	PUNCT
cana-4537	138	12	13	13	NUM
cana-4537	138	13	)	)	PUNCT
cana-4537	138	14	𝑦2(𝑡	𝑦2(𝑡	PROPN
cana-4537	138	15	,	,	PUNCT
cana-4537	138	16	∝	∝	X
cana-4537	138	17	)	)	PUNCT
cana-4537	138	18	=	=	PUNCT
cana-4537	138	19	(	(	PUNCT
cana-4537	138	20	𝐼(𝑡	𝐼(𝑡	NOUN
cana-4537	138	21	)	)	PUNCT
cana-4537	138	22	)	)	PUNCT
cana-4537	138	23	−1	−1	NOUN
cana-4537	138	24	{	{	PUNCT
cana-4537	138	25	∫𝑄2(𝑡	∫𝑄2(𝑡	PROPN
cana-4537	138	26	,	,	PUNCT
cana-4537	138	27	∝	∝	PROPN
cana-4537	138	28	)	)	PUNCT
cana-4537	138	29	𝐼(𝑡)𝑑𝑡	𝐼(𝑡)𝑑𝑡	NOUN
cana-4537	138	30	+	+	CCONJ
cana-4537	138	31	(	(	PUNCT
cana-4537	138	32	𝑎3	𝑎3	PROPN
cana-4537	138	33	−	−	PROPN
cana-4537	138	34	αℛ	αℛ	NUM
cana-4537	138	35	)	)	PUNCT
cana-4537	138	36	𝐼(𝑡0	𝐼(𝑡0	PROPN
cana-4537	138	37	)	)	PUNCT
cana-4537	139	1	−	−	PROPN
cana-4537	139	2	(	(	PUNCT
cana-4537	139	3	∫𝑄2(𝑡	∫𝑄2(𝑡	PROPN
cana-4537	139	4	,	,	PUNCT
cana-4537	139	5	∝	∝	PROPN
cana-4537	139	6	)	)	PUNCT
cana-4537	139	7	𝐼(𝑡)𝑑𝑡	𝐼(𝑡)𝑑𝑡	NOUN
cana-4537	139	8	)	)	PUNCT
cana-4537	139	9	𝑡=𝑡0	𝑡=𝑡0	PROPN
cana-4537	139	10	}	}	PUNCT
cana-4537	139	11	(	(	PUNCT
cana-4537	139	12	14	14	NUM
cana-4537	139	13	)	)	PUNCT
cana-4537	139	14	are	be	AUX
cana-4537	139	15	satisfying	satisfy	VERB
cana-4537	139	16	a	a	DET
cana-4537	139	17	condition	condition	NOUN
cana-4537	139	18	of	of	ADP
cana-4537	139	19	strong	strong	ADJ
cana-4537	139	20	solution	solution	NOUN
cana-4537	139	21	i.e.	i.e.	X
cana-4537	139	22	𝜕𝑦1(𝑡,α	𝜕𝑦1(𝑡,α	NUM
cana-4537	139	23	)	)	PUNCT
cana-4537	139	24	𝜕α	𝜕α	NOUN
cana-4537	139	25	>	>	X
cana-4537	139	26	0	0	PUNCT
cana-4537	139	27	and	and	CCONJ
cana-4537	139	28	𝜕𝑦2(𝑡,α	𝜕𝑦2(𝑡,α	NUM
cana-4537	139	29	)	)	PUNCT
cana-4537	139	30	𝜕α	𝜕α	PUNCT
cana-4537	139	31	<	<	X
cana-4537	140	1	0	0	X
cana-4537	140	2	.	.	PUNCT
cana-4537	141	1	hence	hence	ADV
cana-4537	141	2	,	,	PUNCT
cana-4537	141	3	based	base	VERB
cana-4537	141	4	on	on	ADP
cana-4537	141	5	α	α	NOUN
cana-4537	141	6	-	-	PUNCT
cana-4537	141	7	cut	cut	VERB
cana-4537	141	8	interval	interval	NOUN
cana-4537	141	9	arithmetic	arithmetic	NOUN
cana-4537	141	10	,	,	PUNCT
cana-4537	141	11	the	the	DET
cana-4537	141	12	solution	solution	NOUN
cana-4537	141	13	of	of	ADP
cana-4537	141	14	differential	differential	ADJ
cana-4537	141	15	equation	equation	NOUN
cana-4537	141	16	(	(	PUNCT
cana-4537	141	17	1	1	NUM
cana-4537	141	18	)	)	PUNCT
cana-4537	141	19	as	as	SCONJ
cana-4537	141	20	follows	follow	VERB
cana-4537	141	21	𝑦(𝑡	𝑦(𝑡	NUM
cana-4537	141	22	)	)	PUNCT
cana-4537	141	23	=	=	PUNCT
cana-4537	142	1	[	[	X
cana-4537	142	2	𝑦1(𝑡	𝑦1(𝑡	X
cana-4537	142	3	,	,	PUNCT
cana-4537	142	4	∝	∝	PROPN
cana-4537	142	5	)	)	PUNCT
cana-4537	142	6	,	,	PUNCT
cana-4537	142	7	𝑦1(𝑡	𝑦1(𝑡	PROPN
cana-4537	142	8	,	,	PUNCT
cana-4537	142	9	∝	∝	PROPN
cana-4537	142	10	)	)	PUNCT
cana-4537	142	11	,	,	PUNCT
cana-4537	142	12	𝑦2(𝑡	𝑦2(𝑡	PROPN
cana-4537	142	13	,	,	PUNCT
cana-4537	142	14	∝	∝	PROPN
cana-4537	142	15	)	)	PUNCT
cana-4537	142	16	,	,	PUNCT
cana-4537	142	17	𝑦2(𝑡	𝑦2(𝑡	PROPN
cana-4537	142	18	,	,	PUNCT
cana-4537	142	19	∝	∝	PROPN
cana-4537	142	20	)	)	PUNCT
cana-4537	142	21	]	]	PUNCT
cana-4537	143	1	=	=	PUNCT
cana-4537	143	2	(	(	PUNCT
cana-4537	143	3	𝐼(𝑡	𝐼(𝑡	NOUN
cana-4537	143	4	)	)	PUNCT
cana-4537	143	5	)	)	PUNCT
cana-4537	143	6	−1	−1	NOUN
cana-4537	143	7	{	{	PUNCT
cana-4537	143	8	∫[𝑄1(𝑡),𝑄2(𝑡	∫[𝑄1(𝑡),𝑄2(𝑡	NOUN
cana-4537	143	9	)	)	PUNCT
cana-4537	143	10	]	]	PUNCT
cana-4537	143	11	𝐼(𝑡)𝑑𝑡	𝐼(𝑡)𝑑𝑡	PROPN
cana-4537	143	12	+	+	CCONJ
cana-4537	143	13	𝑦(𝑡0	𝑦(𝑡0	NOUN
cana-4537	143	14	)	)	PUNCT
cana-4537	143	15	𝐼(𝑡0	𝐼(𝑡0	PROPN
cana-4537	143	16	)	)	PUNCT
cana-4537	143	17	−	−	PROPN
cana-4537	143	18	(	(	PUNCT
cana-4537	143	19	∫[𝑄1(𝑡	∫[𝑄1(𝑡	NUM
cana-4537	143	20	)	)	PUNCT
cana-4537	143	21	,	,	PUNCT
cana-4537	143	22	𝑄2(𝑡	𝑄2(𝑡	PROPN
cana-4537	143	23	)	)	PUNCT
cana-4537	143	24	]	]	PUNCT
cana-4537	143	25	𝐼(𝑡)𝑑𝑡	𝐼(𝑡)𝑑𝑡	PROPN
cana-4537	143	26	)	)	PUNCT
cana-4537	143	27	𝑡=𝑡0	𝑡=𝑡0	PROPN
cana-4537	143	28	}	}	PUNCT
cana-4537	143	29	(	(	PUNCT
cana-4537	143	30	15	15	NUM
cana-4537	143	31	)	)	PUNCT
cana-4537	143	32	where	where	SCONJ
cana-4537	143	33	,	,	PUNCT
cana-4537	143	34	𝑄1(𝑡	𝑄1(𝑡	NUM
cana-4537	143	35	)	)	PUNCT
cana-4537	143	36	=	=	SYM
cana-4537	143	37	𝑀𝑖𝑛{𝑄1(𝑡	𝑀𝑖𝑛{𝑄1(𝑡	NOUN
cana-4537	143	38	,	,	PUNCT
cana-4537	143	39	0	0	NUM
cana-4537	143	40	)	)	PUNCT
cana-4537	143	41	,	,	PUNCT
cana-4537	143	42	𝑄1(𝑡	𝑄1(𝑡	NOUN
cana-4537	143	43	,	,	PUNCT
cana-4537	143	44	1	1	NUM
cana-4537	143	45	)	)	PUNCT
cana-4537	143	46	,	,	PUNCT
cana-4537	143	47	𝑄2(𝑡	𝑄2(𝑡	PROPN
cana-4537	143	48	,	,	PUNCT
cana-4537	143	49	0	0	NUM
cana-4537	143	50	)	)	PUNCT
cana-4537	143	51	,	,	PUNCT
cana-4537	143	52	𝑄2(𝑡	𝑄2(𝑡	PROPN
cana-4537	143	53	,	,	PUNCT
cana-4537	143	54	1	1	NUM
cana-4537	143	55	)	)	PUNCT
cana-4537	143	56	}	}	PUNCT
cana-4537	143	57	and	and	CCONJ
cana-4537	143	58	𝑄2(𝑡	𝑄2(𝑡	PROPN
cana-4537	143	59	)	)	PUNCT
cana-4537	143	60	=	=	PUNCT
cana-4537	143	61	𝑀𝑎𝑥{𝑄1(𝑡	𝑀𝑎𝑥{𝑄1(𝑡	PROPN
cana-4537	143	62	,	,	PUNCT
cana-4537	143	63	0	0	NUM
cana-4537	143	64	)	)	PUNCT
cana-4537	143	65	,	,	PUNCT
cana-4537	143	66	𝑄1(𝑡	𝑄1(𝑡	NOUN
cana-4537	143	67	,	,	PUNCT
cana-4537	143	68	1	1	NUM
cana-4537	143	69	)	)	PUNCT
cana-4537	143	70	,	,	PUNCT
cana-4537	143	71	𝑄2(𝑡	𝑄2(𝑡	PROPN
cana-4537	143	72	,	,	PUNCT
cana-4537	143	73	0	0	NUM
cana-4537	143	74	)	)	PUNCT
cana-4537	143	75	,	,	PUNCT
cana-4537	143	76	𝑄2(𝑡	𝑄2(𝑡	PROPN
cana-4537	143	77	,	,	PUNCT
cana-4537	143	78	1	1	NUM
cana-4537	143	79	)	)	PUNCT
cana-4537	143	80	}	}	PUNCT
cana-4537	143	81	case	case	NOUN
cana-4537	143	82	-	-	PUNCT
cana-4537	143	83	iii	iii	NOUN
cana-4537	143	84	:	:	PUNCT
cana-4537	143	85	if	if	SCONJ
cana-4537	143	86	𝑃(𝑡	𝑃(𝑡	NOUN
cana-4537	143	87	)	)	PUNCT
cana-4537	143	88	is	be	AUX
cana-4537	143	89	fuzzy	fuzzy	ADJ
cana-4537	143	90	function	function	NOUN
cana-4537	143	91	and	and	CCONJ
cana-4537	143	92	𝑄(𝑡	𝑄(𝑡	PRON
cana-4537	143	93	)	)	PUNCT
cana-4537	143	94	is	be	AUX
cana-4537	143	95	real	real	ADJ
cana-4537	143	96	function	function	NOUN
cana-4537	143	97	let	let	VERB
cana-4537	143	98	𝑃(𝑡	𝑃(𝑡	NUM
cana-4537	143	99	)	)	PUNCT
cana-4537	143	100	is	be	AUX
cana-4537	143	101	fuzzy	fuzzy	ADJ
cana-4537	143	102	valued	value	VERB
cana-4537	143	103	function	function	NOUN
cana-4537	143	104	such	such	ADJ
cana-4537	143	105	that	that	PRON
cana-4537	143	106	𝑖𝑛𝑓.	𝑖𝑛𝑓.	NOUN
cana-4537	144	1	𝑃(𝑡	𝑃(𝑡	NUM
cana-4537	144	2	)	)	PUNCT
cana-4537	144	3	=	=	SYM
cana-4537	144	4	𝑃1(𝑡	𝑃1(𝑡	NOUN
cana-4537	144	5	)	)	PUNCT
cana-4537	144	6	and	and	CCONJ
cana-4537	144	7	𝑠𝑢𝑝.	𝑠𝑢𝑝.	ADJ
cana-4537	144	8	𝑃(𝑡	𝑃(𝑡	NUM
cana-4537	144	9	)	)	PUNCT
cana-4537	144	10	=	=	SYM
cana-4537	144	11	𝑃2(𝑡	𝑃2(𝑡	NOUN
cana-4537	144	12	)	)	PUNCT
cana-4537	144	13	then	then	ADV
cana-4537	144	14	,	,	PUNCT
cana-4537	144	15	α	α	X
cana-4537	144	16	-	-	PUNCT
cana-4537	144	17	cut	cut	NOUN
cana-4537	144	18	of	of	ADP
cana-4537	144	19	differential	differential	ADJ
cana-4537	144	20	equation	equation	NOUN
cana-4537	144	21	(	(	PUNCT
cana-4537	144	22	1	1	X
cana-4537	144	23	)	)	PUNCT
cana-4537	144	24	is	be	AUX
cana-4537	144	25	[	[	PUNCT
cana-4537	144	26	𝑑𝑦1(𝑡,∝	𝑑𝑦1(𝑡,∝	PROPN
cana-4537	144	27	)	)	PUNCT
cana-4537	144	28	𝑑𝑡	𝑑𝑡	ADP
cana-4537	144	29	,	,	PUNCT
cana-4537	144	30	𝑑𝑦2(𝑡,∝	𝑑𝑦2(𝑡,∝	PROPN
cana-4537	144	31	)	)	PUNCT
cana-4537	144	32	𝑑𝑡	𝑑𝑡	ADP
cana-4537	144	33	]	]	PUNCT
cana-4537	145	1	+	+	CCONJ
cana-4537	145	2	[	[	X
cana-4537	145	3	𝑃1(𝑡	𝑃1(𝑡	X
cana-4537	145	4	,	,	PUNCT
cana-4537	145	5	∝	∝	NOUN
cana-4537	145	6	)	)	PUNCT
cana-4537	145	7	,	,	PUNCT
cana-4537	145	8	𝑃2(𝑡	𝑃2(𝑡	PROPN
cana-4537	145	9	,	,	PUNCT
cana-4537	145	10	∝	∝	PROPN
cana-4537	145	11	)	)	PUNCT
cana-4537	145	12	]	]	PUNCT
cana-4537	146	1	[	[	X
cana-4537	146	2	𝑦1(𝑡	𝑦1(𝑡	X
cana-4537	146	3	,	,	PUNCT
cana-4537	146	4	∝	∝	PROPN
cana-4537	146	5	)	)	PUNCT
cana-4537	146	6	,	,	PUNCT
cana-4537	146	7	𝑦2(𝑡	𝑦2(𝑡	PROPN
cana-4537	146	8	,	,	PUNCT
cana-4537	146	9	∝	∝	PROPN
cana-4537	146	10	)	)	PUNCT
cana-4537	146	11	]	]	PUNCT
cana-4537	146	12	=	=	PUNCT
cana-4537	146	13	𝑄(𝑡	𝑄(𝑡	NOUN
cana-4537	146	14	)	)	PUNCT
cana-4537	146	15	i.e.	i.e.	X
cana-4537	146	16	𝑑𝑦1(𝑡,∝	𝑑𝑦1(𝑡,∝	NOUN
cana-4537	146	17	)	)	PUNCT
cana-4537	146	18	𝑑𝑡	𝑑𝑡	ADP
cana-4537	146	19	+	+	NUM
cana-4537	146	20	𝑃1(𝑡	𝑃1(𝑡	NOUN
cana-4537	146	21	,	,	PUNCT
cana-4537	146	22	∝)𝑦1(𝑡	∝)𝑦1(𝑡	PROPN
cana-4537	146	23	,	,	PUNCT
cana-4537	146	24	∝	∝	X
cana-4537	146	25	)	)	PUNCT
cana-4537	146	26	=	=	SYM
cana-4537	146	27	𝑄(𝑡	𝑄(𝑡	PRON
cana-4537	146	28	)	)	PUNCT
cana-4537	146	29	(	(	PUNCT
cana-4537	146	30	16	16	NUM
cana-4537	146	31	)	)	PUNCT
cana-4537	146	32	𝑑𝑦2(𝑡,∝	𝑑𝑦2(𝑡,∝	PROPN
cana-4537	146	33	)	)	PUNCT
cana-4537	146	34	𝑑𝑡	𝑑𝑡	ADP
cana-4537	146	35	+	+	CCONJ
cana-4537	146	36	𝑃2(𝑡	𝑃2(𝑡	PROPN
cana-4537	146	37	,	,	PUNCT
cana-4537	146	38	∝)𝑦2(𝑡	∝)𝑦2(𝑡	PROPN
cana-4537	146	39	,	,	PUNCT
cana-4537	146	40	∝	∝	X
cana-4537	146	41	)	)	PUNCT
cana-4537	146	42	=	=	SYM
cana-4537	146	43	𝑄(𝑡	𝑄(𝑡	PRON
cana-4537	146	44	)	)	PUNCT
cana-4537	146	45	(	(	PUNCT
cana-4537	146	46	17	17	NUM
cana-4537	146	47	)	)	PUNCT
cana-4537	146	48	since	since	SCONJ
cana-4537	146	49	𝑃(𝑡	𝑃(𝑡	NUM
cana-4537	146	50	)	)	PUNCT
cana-4537	146	51	is	be	AUX
cana-4537	146	52	fuzzy	fuzzy	ADJ
cana-4537	146	53	valued	value	VERB
cana-4537	146	54	function	function	NOUN
cana-4537	146	55	,	,	PUNCT
cana-4537	146	56	the	the	DET
cana-4537	146	57	integrating	integrating	NOUN
cana-4537	146	58	factors	factor	NOUN
cana-4537	146	59	are	be	AUX
cana-4537	146	60	𝐼1(𝑡	𝐼1(𝑡	NOUN
cana-4537	146	61	,	,	PUNCT
cana-4537	146	62	∝	∝	X
cana-4537	146	63	)	)	PUNCT
cana-4537	147	1	=	=	PUNCT
cana-4537	147	2	𝑒	𝑒	ADJ
cana-4537	147	3	∫𝑃1(𝑡,∝)𝑑𝑡	∫𝑃1(𝑡,∝)𝑑𝑡	NOUN
cana-4537	147	4	and	and	CCONJ
cana-4537	147	5	𝐼2(𝑡	𝐼2(𝑡	PROPN
cana-4537	147	6	,	,	PUNCT
cana-4537	147	7	∝	∝	X
cana-4537	147	8	)	)	PUNCT
cana-4537	148	1	=	=	SYM
cana-4537	149	1	𝑒∫𝑃2(𝑡,∝)𝑑𝑡	𝑒∫𝑃2(𝑡,∝)𝑑𝑡	NOUN
cana-4537	149	2	and	and	CCONJ
cana-4537	149	3	hence	hence	ADV
cana-4537	149	4	solutions	solution	NOUN
cana-4537	149	5	are	be	AUX
cana-4537	149	6	𝑦1(𝑡	𝑦1(𝑡	PROPN
cana-4537	149	7	,	,	PUNCT
cana-4537	149	8	∝	∝	NOUN
cana-4537	149	9	)	)	PUNCT
cana-4537	149	10	𝐼1(𝑡	𝐼1(𝑡	PROPN
cana-4537	149	11	,	,	PUNCT
cana-4537	149	12	∝	∝	X
cana-4537	149	13	)	)	PUNCT
cana-4537	150	1	=	=	SYM
cana-4537	150	2	∫𝑄(𝑡	∫𝑄(𝑡	ADJ
cana-4537	150	3	)	)	PUNCT
cana-4537	150	4	𝐼1(𝑡	𝐼1(𝑡	NOUN
cana-4537	150	5	,	,	PUNCT
cana-4537	150	6	∝)𝑑𝑡	∝)𝑑𝑡	NOUN
cana-4537	150	7	+	+	CCONJ
cana-4537	150	8	𝐶1	𝐶1	PROPN
cana-4537	150	9	(	(	PUNCT
cana-4537	150	10	18	18	NUM
cana-4537	150	11	)	)	PUNCT
cana-4537	150	12	𝑦2(𝑡	𝑦2(𝑡	PROPN
cana-4537	150	13	,	,	PUNCT
cana-4537	150	14	∝	∝	NOUN
cana-4537	150	15	)	)	PUNCT
cana-4537	150	16	𝐼2(𝑡	𝐼2(𝑡	PROPN
cana-4537	150	17	,	,	PUNCT
cana-4537	150	18	∝	∝	X
cana-4537	150	19	)	)	PUNCT
cana-4537	150	20	=	=	SYM
cana-4537	150	21	∫𝑄(𝑡	∫𝑄(𝑡	ADJ
cana-4537	150	22	)	)	PUNCT
cana-4537	150	23	𝐼2(𝑡	𝐼2(𝑡	PROPN
cana-4537	150	24	,	,	PUNCT
cana-4537	150	25	∝)𝑑𝑡	∝)𝑑𝑡	NOUN
cana-4537	150	26	+	+	CCONJ
cana-4537	150	27	𝐶2	𝐶2	X
cana-4537	150	28	(	(	PUNCT
cana-4537	150	29	19	19	NUM
cana-4537	150	30	)	)	PUNCT
cana-4537	150	31	at	at	ADP
cana-4537	150	32	𝑡	𝑡	PROPN
cana-4537	150	33	=	=	SYM
cana-4537	150	34	𝑡0	𝑡0	PROPN
cana-4537	150	35	,	,	PUNCT
cana-4537	150	36	𝐶1	𝐶1	NOUN
cana-4537	150	37	=	=	SYM
cana-4537	150	38	𝑦1(𝑡0	𝑦1(𝑡0	NOUN
cana-4537	150	39	,	,	PUNCT
cana-4537	150	40	∝	∝	NOUN
cana-4537	150	41	)	)	PUNCT
cana-4537	150	42	𝐼1(𝑡0	𝐼1(𝑡0	PROPN
cana-4537	150	43	,	,	PUNCT
cana-4537	150	44	∝	∝	PROPN
cana-4537	150	45	)	)	PUNCT
cana-4537	150	46	−	−	PROPN
cana-4537	150	47	(	(	PUNCT
cana-4537	150	48	∫𝑄(𝑡	∫𝑄(𝑡	PROPN
cana-4537	150	49	)	)	PUNCT
cana-4537	150	50	𝐼1(𝑡	𝐼1(𝑡	NOUN
cana-4537	150	51	,	,	PUNCT
cana-4537	150	52	∝)𝑑𝑡	∝)𝑑𝑡	NOUN
cana-4537	150	53	)	)	PUNCT
cana-4537	150	54	𝑡=𝑡0	𝑡=𝑡0	NOUN
cana-4537	150	55	and	and	CCONJ
cana-4537	150	56	𝐶2	𝐶2	ADJ
cana-4537	150	57	=	=	NOUN
cana-4537	150	58	𝑦2(𝑡0	𝑦2(𝑡0	PROPN
cana-4537	150	59	,	,	PUNCT
cana-4537	150	60	∝	∝	PROPN
cana-4537	150	61	)	)	PUNCT
cana-4537	151	1	𝐼2(𝑡0	𝐼2(𝑡0	PROPN
cana-4537	151	2	,	,	PUNCT
cana-4537	151	3	∝	∝	PROPN
cana-4537	151	4	)	)	PUNCT
cana-4537	151	5	−	−	PROPN
cana-4537	152	1	(	(	PUNCT
cana-4537	152	2	∫𝑄(𝑡	∫𝑄(𝑡	PROPN
cana-4537	152	3	)	)	PUNCT
cana-4537	152	4	𝐼2(𝑡	𝐼2(𝑡	PROPN
cana-4537	152	5	,	,	PUNCT
cana-4537	152	6	∝)𝑑𝑡	∝)𝑑𝑡	NOUN
cana-4537	152	7	)	)	PUNCT
cana-4537	152	8	𝑡=𝑡0	𝑡=𝑡0	NOUN
cana-4537	152	9	and	and	CCONJ
cana-4537	152	10	from	from	ADP
cana-4537	152	11	equation	equation	NOUN
cana-4537	152	12	(	(	PUNCT
cana-4537	152	13	18	18	NUM
cana-4537	152	14	)	)	PUNCT
cana-4537	152	15	and	and	CCONJ
cana-4537	152	16	(	(	PUNCT
cana-4537	152	17	19	19	NUM
cana-4537	152	18	)	)	PUNCT
cana-4537	152	19	we	we	PRON
cana-4537	152	20	get	get	VERB
cana-4537	152	21	𝑦1(𝑡	𝑦1(𝑡	NOUN
cana-4537	152	22	,	,	PUNCT
cana-4537	152	23	∝	∝	X
cana-4537	152	24	)	)	PUNCT
cana-4537	152	25	=	=	SYM
cana-4537	152	26	(	(	PUNCT
cana-4537	152	27	𝐼1(𝑡	𝐼1(𝑡	PROPN
cana-4537	152	28	,	,	PUNCT
cana-4537	152	29	∝	∝	NOUN
cana-4537	152	30	)	)	PUNCT
cana-4537	152	31	)	)	PUNCT
cana-4537	153	1	−1	−1	NOUN
cana-4537	153	2	{	{	PUNCT
cana-4537	153	3	∫𝑄(𝑡	∫𝑄(𝑡	ADJ
cana-4537	153	4	)	)	PUNCT
cana-4537	153	5	𝐼1(𝑡	𝐼1(𝑡	NOUN
cana-4537	153	6	,	,	PUNCT
cana-4537	153	7	∝)𝑑𝑡	∝)𝑑𝑡	NOUN
cana-4537	153	8	+	+	CCONJ
cana-4537	153	9	(	(	PUNCT
cana-4537	153	10	𝑎1	𝑎1	X
cana-4537	153	11	+	+	NUM
cana-4537	153	12	αℒ	αℒ	NOUN
cana-4537	153	13	)	)	PUNCT
cana-4537	154	1	𝐼1(𝑡0	𝐼1(𝑡0	PROPN
cana-4537	154	2	,	,	PUNCT
cana-4537	154	3	∝	∝	PROPN
cana-4537	154	4	)	)	PUNCT
cana-4537	154	5	−	−	PROPN
cana-4537	154	6	(	(	PUNCT
cana-4537	154	7	∫𝑄(𝑡	∫𝑄(𝑡	PROPN
cana-4537	154	8	)	)	PUNCT
cana-4537	154	9	𝐼1(𝑡	𝐼1(𝑡	NOUN
cana-4537	154	10	,	,	PUNCT
cana-4537	154	11	∝)𝑑𝑡	∝)𝑑𝑡	NOUN
cana-4537	154	12	)	)	PUNCT
cana-4537	154	13	𝑡=𝑡0	𝑡=𝑡0	NOUN
cana-4537	154	14	}	}	PUNCT
cana-4537	154	15	(	(	PUNCT
cana-4537	154	16	20	20	NUM
cana-4537	154	17	)	)	PUNCT
cana-4537	154	18	𝑦2(𝑡	𝑦2(𝑡	PROPN
cana-4537	154	19	,	,	PUNCT
cana-4537	154	20	∝	∝	X
cana-4537	154	21	)	)	PUNCT
cana-4537	154	22	=	=	PRON
cana-4537	155	1	(	(	PUNCT
cana-4537	155	2	𝐼2(𝑡	𝐼2(𝑡	PROPN
cana-4537	155	3	,	,	PUNCT
cana-4537	155	4	∝	∝	PROPN
cana-4537	155	5	)	)	PUNCT
cana-4537	155	6	)	)	PUNCT
cana-4537	155	7	−1	−1	NOUN
cana-4537	155	8	{	{	PUNCT
cana-4537	155	9	∫𝑄(𝑡	∫𝑄(𝑡	ADJ
cana-4537	155	10	)	)	PUNCT
cana-4537	155	11	𝐼2(𝑡	𝐼2(𝑡	PROPN
cana-4537	155	12	,	,	PUNCT
cana-4537	155	13	∝)𝑑𝑡	∝)𝑑𝑡	NOUN
cana-4537	155	14	+	+	CCONJ
cana-4537	155	15	(	(	PUNCT
cana-4537	155	16	𝑎3	𝑎3	PROPN
cana-4537	155	17	−	−	PROPN
cana-4537	155	18	αℛ	αℛ	NUM
cana-4537	155	19	)	)	PUNCT
cana-4537	155	20	𝐼2(𝑡0	𝐼2(𝑡0	PROPN
cana-4537	155	21	,	,	PUNCT
cana-4537	155	22	∝	∝	PROPN
cana-4537	155	23	)	)	PUNCT
cana-4537	155	24	−	−	PROPN
cana-4537	156	1	(	(	PUNCT
cana-4537	156	2	∫𝑄(𝑡	∫𝑄(𝑡	PROPN
cana-4537	156	3	)	)	PUNCT
cana-4537	156	4	𝐼2(𝑡	𝐼2(𝑡	PROPN
cana-4537	156	5	,	,	PUNCT
cana-4537	156	6	∝)𝑑𝑡	∝)𝑑𝑡	ADJ
cana-4537	156	7	)	)	PUNCT
cana-4537	156	8	𝑡=𝑡0	𝑡=𝑡0	PROPN
cana-4537	156	9	}	}	PUNCT
cana-4537	156	10	(	(	PUNCT
cana-4537	156	11	21	21	NUM
cana-4537	156	12	)	)	PUNCT
cana-4537	156	13	communications	communication	NOUN
cana-4537	156	14	on	on	ADP
cana-4537	156	15	applied	apply	VERB
cana-4537	156	16	nonlinear	nonlinear	ADJ
cana-4537	156	17	analysis	analysis	NOUN
cana-4537	156	18	issn	issn	NOUN
cana-4537	156	19	:	:	PUNCT
cana-4537	156	20	1074	1074	NUM
cana-4537	156	21	-	-	PUNCT
cana-4537	156	22	133x	133x	NUM
cana-4537	156	23	vol	vol	NOUN
cana-4537	156	24	32	32	NUM
cana-4537	156	25	no	no	NOUN
cana-4537	156	26	.	.	PUNCT
cana-4537	157	1	9s	9s	NUM
cana-4537	157	2	(	(	PUNCT
cana-4537	157	3	2025	2025	NUM
cana-4537	157	4	)	)	PUNCT
cana-4537	157	5	2467	2467	NUM
cana-4537	157	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4537	157	7	are	be	AUX
cana-4537	157	8	satisfying	satisfy	VERB
cana-4537	157	9	a	a	DET
cana-4537	157	10	condition	condition	NOUN
cana-4537	157	11	of	of	ADP
cana-4537	157	12	strong	strong	ADJ
cana-4537	157	13	solution	solution	NOUN
cana-4537	157	14	i.e.	i.e.	X
cana-4537	157	15	𝜕𝑦1(𝑡,α	𝜕𝑦1(𝑡,α	NUM
cana-4537	157	16	)	)	PUNCT
cana-4537	157	17	𝜕α	𝜕α	NOUN
cana-4537	157	18	>	>	X
cana-4537	157	19	0	0	PUNCT
cana-4537	157	20	and	and	CCONJ
cana-4537	157	21	𝜕𝑦2(𝑡,α	𝜕𝑦2(𝑡,α	NUM
cana-4537	157	22	)	)	PUNCT
cana-4537	157	23	𝜕α	𝜕α	PUNCT
cana-4537	157	24	<	<	X
cana-4537	158	1	0	0	X
cana-4537	158	2	.	.	PUNCT
cana-4537	159	1	hence	hence	ADV
cana-4537	159	2	,	,	PUNCT
cana-4537	159	3	based	base	VERB
cana-4537	159	4	on	on	ADP
cana-4537	159	5	α	α	NOUN
cana-4537	159	6	-	-	PUNCT
cana-4537	159	7	cut	cut	VERB
cana-4537	159	8	interval	interval	NOUN
cana-4537	159	9	arithmetic	arithmetic	NOUN
cana-4537	159	10	,	,	PUNCT
cana-4537	159	11	the	the	DET
cana-4537	159	12	solution	solution	NOUN
cana-4537	159	13	of	of	ADP
cana-4537	159	14	differential	differential	ADJ
cana-4537	159	15	equation	equation	NOUN
cana-4537	159	16	(	(	PUNCT
cana-4537	159	17	1	1	NUM
cana-4537	159	18	)	)	PUNCT
cana-4537	159	19	as	as	SCONJ
cana-4537	159	20	follows	follow	VERB
cana-4537	159	21	𝑦(𝑡	𝑦(𝑡	NUM
cana-4537	159	22	)	)	PUNCT
cana-4537	159	23	=	=	PUNCT
cana-4537	160	1	[	[	X
cana-4537	160	2	𝑦1(𝑡	𝑦1(𝑡	X
cana-4537	160	3	,	,	PUNCT
cana-4537	160	4	∝	∝	PROPN
cana-4537	160	5	)	)	PUNCT
cana-4537	160	6	,	,	PUNCT
cana-4537	160	7	𝑦1(𝑡	𝑦1(𝑡	PROPN
cana-4537	160	8	,	,	PUNCT
cana-4537	160	9	∝	∝	PROPN
cana-4537	160	10	)	)	PUNCT
cana-4537	160	11	,	,	PUNCT
cana-4537	160	12	𝑦2(𝑡	𝑦2(𝑡	PROPN
cana-4537	160	13	,	,	PUNCT
cana-4537	160	14	∝	∝	PROPN
cana-4537	160	15	)	)	PUNCT
cana-4537	160	16	,	,	PUNCT
cana-4537	160	17	𝑦2(𝑡	𝑦2(𝑡	PROPN
cana-4537	160	18	,	,	PUNCT
cana-4537	160	19	∝	∝	PROPN
cana-4537	160	20	)	)	PUNCT
cana-4537	160	21	]	]	PUNCT
cana-4537	161	1	=	=	PUNCT
cana-4537	161	2	(	(	PUNCT
cana-4537	161	3	𝐼(𝑡	𝐼(𝑡	PROPN
cana-4537	161	4	,	,	PUNCT
cana-4537	161	5	∝	∝	NOUN
cana-4537	161	6	)	)	PUNCT
cana-4537	161	7	)	)	PUNCT
cana-4537	161	8	−1	−1	NOUN
cana-4537	161	9	{	{	PUNCT
cana-4537	161	10	∫𝑄(𝑡	∫𝑄(𝑡	PROPN
cana-4537	161	11	)	)	PUNCT
cana-4537	161	12	𝐼(𝑡	𝐼(𝑡	NOUN
cana-4537	161	13	,	,	PUNCT
cana-4537	161	14	∝)𝑑𝑡	∝)𝑑𝑡	ADJ
cana-4537	161	15	+	+	NUM
cana-4537	161	16	𝑦(𝑡0	𝑦(𝑡0	NOUN
cana-4537	161	17	)	)	PUNCT
cana-4537	161	18	𝐼(𝑡0	𝐼(𝑡0	PROPN
cana-4537	161	19	,	,	PUNCT
cana-4537	161	20	∝	∝	PROPN
cana-4537	161	21	)	)	PUNCT
cana-4537	161	22	−	−	PROPN
cana-4537	162	1	(	(	PUNCT
cana-4537	162	2	∫𝑄(𝑡	∫𝑄(𝑡	PROPN
cana-4537	162	3	)	)	PUNCT
cana-4537	162	4	𝐼(𝑡	𝐼(𝑡	NOUN
cana-4537	162	5	,	,	PUNCT
cana-4537	162	6	∝)𝑑𝑡	∝)𝑑𝑡	ADJ
cana-4537	162	7	)	)	PUNCT
cana-4537	162	8	𝑡=𝑡0	𝑡=𝑡0	PROPN
cana-4537	162	9	}	}	PUNCT
cana-4537	162	10	(	(	PUNCT
cana-4537	162	11	22	22	NUM
cana-4537	162	12	)	)	PUNCT
cana-4537	162	13	where	where	SCONJ
cana-4537	162	14	,	,	PUNCT
cana-4537	162	15	(	(	PUNCT
cana-4537	162	16	𝐼(𝑡	𝐼(𝑡	PROPN
cana-4537	162	17	,	,	PUNCT
cana-4537	162	18	∝	∝	NOUN
cana-4537	162	19	)	)	PUNCT
cana-4537	162	20	)	)	PUNCT
cana-4537	163	1	=	=	PUNCT
cana-4537	164	1	[	[	X
cana-4537	164	2	(	(	PUNCT
cana-4537	164	3	𝐼1(𝑡	𝐼1(𝑡	NOUN
cana-4537	164	4	,	,	PUNCT
cana-4537	164	5	∝	∝	NOUN
cana-4537	164	6	)	)	PUNCT
cana-4537	164	7	)	)	PUNCT
cana-4537	164	8	,	,	PUNCT
cana-4537	164	9	(	(	PUNCT
cana-4537	164	10	𝐼2(𝑡	𝐼2(𝑡	PROPN
cana-4537	164	11	,	,	PUNCT
cana-4537	164	12	∝	∝	PROPN
cana-4537	164	13	)	)	PUNCT
cana-4537	164	14	)	)	PUNCT
cana-4537	164	15	]	]	PUNCT
cana-4537	164	16	here	here	ADV
cana-4537	164	17	,	,	PUNCT
cana-4537	164	18	𝐼1(𝑡	𝐼1(𝑡	X
cana-4537	164	19	)	)	PUNCT
cana-4537	164	20	=	=	SYM
cana-4537	164	21	𝑀𝑖𝑛{𝐼1(𝑡	𝑀𝑖𝑛{𝐼1(𝑡	PROPN
cana-4537	164	22	,	,	PUNCT
cana-4537	164	23	0	0	NUM
cana-4537	164	24	)	)	PUNCT
cana-4537	164	25	,	,	PUNCT
cana-4537	164	26	𝐼1(𝑡	𝐼1(𝑡	NOUN
cana-4537	164	27	,	,	PUNCT
cana-4537	164	28	1	1	NUM
cana-4537	164	29	)	)	PUNCT
cana-4537	164	30	,	,	PUNCT
cana-4537	164	31	𝐼2(𝑡	𝐼2(𝑡	PROPN
cana-4537	164	32	,	,	PUNCT
cana-4537	164	33	0	0	NUM
cana-4537	164	34	)	)	PUNCT
cana-4537	164	35	,	,	PUNCT
cana-4537	164	36	𝐼2(𝑡	𝐼2(𝑡	PROPN
cana-4537	164	37	,	,	PUNCT
cana-4537	164	38	1	1	NUM
cana-4537	164	39	)	)	PUNCT
cana-4537	164	40	}	}	PUNCT
cana-4537	164	41	and	and	CCONJ
cana-4537	164	42	𝐼2(𝑡	𝐼2(𝑡	NUM
cana-4537	164	43	)	)	PUNCT
cana-4537	164	44	=	=	NOUN
cana-4537	164	45	𝑀𝑎𝑥{𝐼1(𝑡	𝑀𝑎𝑥{𝐼1(𝑡	PROPN
cana-4537	164	46	,	,	PUNCT
cana-4537	164	47	0	0	NUM
cana-4537	164	48	)	)	PUNCT
cana-4537	164	49	,	,	PUNCT
cana-4537	164	50	𝐼1(𝑡	𝐼1(𝑡	NOUN
cana-4537	164	51	,	,	PUNCT
cana-4537	164	52	1	1	NUM
cana-4537	164	53	)	)	PUNCT
cana-4537	164	54	,	,	PUNCT
cana-4537	164	55	𝐼2(𝑡	𝐼2(𝑡	PROPN
cana-4537	164	56	,	,	PUNCT
cana-4537	164	57	0	0	NUM
cana-4537	164	58	)	)	PUNCT
cana-4537	164	59	,	,	PUNCT
cana-4537	164	60	𝐼2(𝑡	𝐼2(𝑡	PROPN
cana-4537	164	61	,	,	PUNCT
cana-4537	164	62	1	1	NUM
cana-4537	164	63	)	)	PUNCT
cana-4537	164	64	}	}	PUNCT
cana-4537	164	65	case	case	NOUN
cana-4537	164	66	-	-	PUNCT
cana-4537	164	67	iv	iv	NOUN
cana-4537	164	68	:	:	PUNCT
cana-4537	164	69	if	if	SCONJ
cana-4537	164	70	𝑃(𝑡	𝑃(𝑡	NUM
cana-4537	164	71	)	)	PUNCT
cana-4537	164	72	and	and	CCONJ
cana-4537	164	73	𝑄(𝑡	𝑄(𝑡	PRON
cana-4537	164	74	)	)	PUNCT
cana-4537	164	75	are	be	AUX
cana-4537	164	76	fuzzy	fuzzy	ADJ
cana-4537	164	77	function	function	NOUN
cana-4537	164	78	let	let	VERB
cana-4537	164	79	𝑄(𝑡	𝑄(𝑡	PRON
cana-4537	164	80	)	)	PUNCT
cana-4537	164	81	is	be	AUX
cana-4537	164	82	fuzzy	fuzzy	ADJ
cana-4537	164	83	valued	value	VERB
cana-4537	164	84	function	function	NOUN
cana-4537	164	85	such	such	ADJ
cana-4537	164	86	that	that	PRON
cana-4537	164	87	𝑖𝑛𝑓.	𝑖𝑛𝑓.	PUNCT
cana-4537	165	1	𝑄(𝑡	𝑄(𝑡	PRON
cana-4537	165	2	)	)	PUNCT
cana-4537	165	3	=	=	PUNCT
cana-4537	165	4	𝑄1(𝑡	𝑄1(𝑡	X
cana-4537	165	5	)	)	PUNCT
cana-4537	165	6	and	and	CCONJ
cana-4537	165	7	𝑠𝑢𝑝.	𝑠𝑢𝑝.	X
cana-4537	165	8	𝑄(𝑡	𝑄(𝑡	X
cana-4537	165	9	)	)	PUNCT
cana-4537	165	10	=	=	SYM
cana-4537	165	11	𝑄2(𝑡	𝑄2(𝑡	PROPN
cana-4537	165	12	)	)	PUNCT
cana-4537	165	13	let	let	VERB
cana-4537	165	14	𝑃(𝑡	𝑃(𝑡	NUM
cana-4537	165	15	)	)	PUNCT
cana-4537	165	16	is	be	AUX
cana-4537	165	17	fuzzy	fuzzy	ADJ
cana-4537	165	18	valued	value	VERB
cana-4537	165	19	function	function	NOUN
cana-4537	165	20	such	such	ADJ
cana-4537	165	21	that	that	PRON
cana-4537	165	22	𝑖𝑛𝑓.	𝑖𝑛𝑓.	NOUN
cana-4537	166	1	𝑃(𝑡	𝑃(𝑡	NUM
cana-4537	166	2	)	)	PUNCT
cana-4537	166	3	=	=	SYM
cana-4537	166	4	𝑃1(𝑡	𝑃1(𝑡	NOUN
cana-4537	166	5	)	)	PUNCT
cana-4537	166	6	and	and	CCONJ
cana-4537	166	7	𝑠𝑢𝑝.	𝑠𝑢𝑝.	ADJ
cana-4537	166	8	𝑃(𝑡	𝑃(𝑡	NUM
cana-4537	166	9	)	)	PUNCT
cana-4537	166	10	=	=	SYM
cana-4537	166	11	𝑃2(𝑡	𝑃2(𝑡	NOUN
cana-4537	166	12	)	)	PUNCT
cana-4537	166	13	then	then	ADV
cana-4537	166	14	,	,	PUNCT
cana-4537	166	15	α	α	X
cana-4537	166	16	-	-	PUNCT
cana-4537	166	17	cut	cut	NOUN
cana-4537	166	18	of	of	ADP
cana-4537	166	19	differential	differential	ADJ
cana-4537	166	20	equation	equation	NOUN
cana-4537	166	21	(	(	PUNCT
cana-4537	166	22	1	1	X
cana-4537	166	23	)	)	PUNCT
cana-4537	166	24	is	be	AUX
cana-4537	166	25	[	[	PUNCT
cana-4537	166	26	𝑑𝑦1(𝑡,∝	𝑑𝑦1(𝑡,∝	PROPN
cana-4537	166	27	)	)	PUNCT
cana-4537	166	28	𝑑𝑡	𝑑𝑡	ADP
cana-4537	166	29	,	,	PUNCT
cana-4537	166	30	𝑑𝑦2(𝑡,∝	𝑑𝑦2(𝑡,∝	PROPN
cana-4537	166	31	)	)	PUNCT
cana-4537	166	32	𝑑𝑡	𝑑𝑡	ADP
cana-4537	166	33	]	]	PUNCT
cana-4537	167	1	+	+	CCONJ
cana-4537	167	2	[	[	X
cana-4537	167	3	𝑃1(𝑡	𝑃1(𝑡	X
cana-4537	167	4	,	,	PUNCT
cana-4537	167	5	∝	∝	NOUN
cana-4537	167	6	)	)	PUNCT
cana-4537	167	7	,	,	PUNCT
cana-4537	167	8	𝑃2(𝑡	𝑃2(𝑡	PROPN
cana-4537	167	9	,	,	PUNCT
cana-4537	167	10	∝	∝	PROPN
cana-4537	167	11	)	)	PUNCT
cana-4537	167	12	]	]	PUNCT
cana-4537	168	1	[	[	X
cana-4537	168	2	𝑦1(𝑡	𝑦1(𝑡	X
cana-4537	168	3	,	,	PUNCT
cana-4537	168	4	∝	∝	PROPN
cana-4537	168	5	)	)	PUNCT
cana-4537	168	6	,	,	PUNCT
cana-4537	168	7	𝑦2(𝑡	𝑦2(𝑡	PROPN
cana-4537	168	8	,	,	PUNCT
cana-4537	168	9	∝	∝	PROPN
cana-4537	168	10	)	)	PUNCT
cana-4537	168	11	]	]	PUNCT
cana-4537	169	1	=	=	PUNCT
cana-4537	170	1	[	[	X
cana-4537	170	2	𝑄1(𝑡	𝑄1(𝑡	X
cana-4537	170	3	,	,	PUNCT
cana-4537	170	4	∝	∝	PROPN
cana-4537	170	5	)	)	PUNCT
cana-4537	170	6	,	,	PUNCT
cana-4537	170	7	𝑄2(𝑡	𝑄2(𝑡	PROPN
cana-4537	170	8	,	,	PUNCT
cana-4537	170	9	∝	∝	PROPN
cana-4537	170	10	)	)	PUNCT
cana-4537	170	11	]	]	PUNCT
cana-4537	170	12	i.e.	i.e.	X
cana-4537	170	13	𝑑𝑦1(𝑡,∝	𝑑𝑦1(𝑡,∝	NOUN
cana-4537	170	14	)	)	PUNCT
cana-4537	170	15	𝑑𝑡	𝑑𝑡	ADP
cana-4537	170	16	+	+	NUM
cana-4537	170	17	𝑃1(𝑡	𝑃1(𝑡	NOUN
cana-4537	170	18	,	,	PUNCT
cana-4537	170	19	∝)𝑦1(𝑡	∝)𝑦1(𝑡	PROPN
cana-4537	170	20	,	,	PUNCT
cana-4537	170	21	∝	∝	X
cana-4537	170	22	)	)	PUNCT
cana-4537	170	23	=	=	SYM
cana-4537	171	1	𝑄1(𝑡	𝑄1(𝑡	PROPN
cana-4537	171	2	,	,	PUNCT
cana-4537	171	3	∝	∝	PROPN
cana-4537	171	4	)	)	PUNCT
cana-4537	171	5	(	(	PUNCT
cana-4537	171	6	23	23	NUM
cana-4537	171	7	)	)	PUNCT
cana-4537	171	8	𝑑𝑦2(𝑡,∝	𝑑𝑦2(𝑡,∝	PROPN
cana-4537	171	9	)	)	PUNCT
cana-4537	171	10	𝑑𝑡	𝑑𝑡	ADP
cana-4537	171	11	+	+	CCONJ
cana-4537	171	12	𝑃2(𝑡	𝑃2(𝑡	PROPN
cana-4537	171	13	,	,	PUNCT
cana-4537	171	14	∝)𝑦2(𝑡	∝)𝑦2(𝑡	PROPN
cana-4537	171	15	,	,	PUNCT
cana-4537	171	16	∝	∝	X
cana-4537	171	17	)	)	PUNCT
cana-4537	171	18	=	=	SYM
cana-4537	172	1	𝑄2(𝑡	𝑄2(𝑡	PROPN
cana-4537	172	2	,	,	PUNCT
cana-4537	172	3	∝	∝	PROPN
cana-4537	172	4	)	)	PUNCT
cana-4537	172	5	(	(	PUNCT
cana-4537	172	6	24	24	NUM
cana-4537	172	7	)	)	PUNCT
cana-4537	172	8	since	since	SCONJ
cana-4537	172	9	𝑃(𝑡	𝑃(𝑡	NUM
cana-4537	172	10	)	)	PUNCT
cana-4537	172	11	is	be	AUX
cana-4537	172	12	fuzzy	fuzzy	ADJ
cana-4537	172	13	valued	value	VERB
cana-4537	172	14	function	function	NOUN
cana-4537	172	15	,	,	PUNCT
cana-4537	172	16	the	the	DET
cana-4537	172	17	integrating	integrating	NOUN
cana-4537	172	18	factors	factor	NOUN
cana-4537	172	19	are	be	AUX
cana-4537	172	20	𝐼1(𝑡	𝐼1(𝑡	NOUN
cana-4537	172	21	,	,	PUNCT
cana-4537	172	22	∝	∝	X
cana-4537	172	23	)	)	PUNCT
cana-4537	173	1	=	=	PUNCT
cana-4537	173	2	𝑒	𝑒	ADJ
cana-4537	173	3	∫𝑃1(𝑡,∝)𝑑𝑡	∫𝑃1(𝑡,∝)𝑑𝑡	NOUN
cana-4537	173	4	and	and	CCONJ
cana-4537	173	5	𝐼2(𝑡	𝐼2(𝑡	PROPN
cana-4537	173	6	,	,	PUNCT
cana-4537	173	7	∝	∝	X
cana-4537	173	8	)	)	PUNCT
cana-4537	174	1	=	=	SYM
cana-4537	175	1	𝑒∫𝑃2(𝑡,∝)𝑑𝑡	𝑒∫𝑃2(𝑡,∝)𝑑𝑡	NOUN
cana-4537	175	2	and	and	CCONJ
cana-4537	175	3	hence	hence	ADV
cana-4537	175	4	solutions	solution	NOUN
cana-4537	175	5	are	be	AUX
cana-4537	175	6	𝑦1(𝑡	𝑦1(𝑡	PROPN
cana-4537	175	7	,	,	PUNCT
cana-4537	175	8	∝	∝	NOUN
cana-4537	175	9	)	)	PUNCT
cana-4537	175	10	𝐼1(𝑡	𝐼1(𝑡	PROPN
cana-4537	175	11	,	,	PUNCT
cana-4537	175	12	∝	∝	X
cana-4537	175	13	)	)	PUNCT
cana-4537	175	14	=	=	SYM
cana-4537	175	15	∫𝑄1(𝑡	∫𝑄1(𝑡	PROPN
cana-4537	175	16	,	,	PUNCT
cana-4537	175	17	∝	∝	NOUN
cana-4537	175	18	)	)	PUNCT
cana-4537	175	19	𝐼1(𝑡	𝐼1(𝑡	NOUN
cana-4537	175	20	,	,	PUNCT
cana-4537	175	21	∝)𝑑𝑡	∝)𝑑𝑡	NOUN
cana-4537	175	22	+	+	CCONJ
cana-4537	176	1	𝐶1	𝐶1	PROPN
cana-4537	176	2	(	(	PUNCT
cana-4537	176	3	25	25	NUM
cana-4537	176	4	)	)	PUNCT
cana-4537	176	5	𝑦2(𝑡	𝑦2(𝑡	PROPN
cana-4537	176	6	,	,	PUNCT
cana-4537	176	7	∝	∝	NOUN
cana-4537	176	8	)	)	PUNCT
cana-4537	176	9	𝐼2(𝑡	𝐼2(𝑡	PROPN
cana-4537	176	10	,	,	PUNCT
cana-4537	176	11	∝	∝	X
cana-4537	176	12	)	)	PUNCT
cana-4537	176	13	=	=	SYM
cana-4537	176	14	∫𝑄2(𝑡	∫𝑄2(𝑡	NOUN
cana-4537	176	15	,	,	PUNCT
cana-4537	176	16	∝	∝	PROPN
cana-4537	176	17	)	)	PUNCT
cana-4537	176	18	𝐼2(𝑡	𝐼2(𝑡	PROPN
cana-4537	176	19	,	,	PUNCT
cana-4537	176	20	∝)𝑑𝑡	∝)𝑑𝑡	NOUN
cana-4537	176	21	+	+	CCONJ
cana-4537	176	22	𝐶2	𝐶2	X
cana-4537	176	23	(	(	PUNCT
cana-4537	176	24	26	26	NUM
cana-4537	176	25	)	)	PUNCT
cana-4537	176	26	at	at	ADP
cana-4537	176	27	𝑡	𝑡	PROPN
cana-4537	176	28	=	=	SYM
cana-4537	176	29	𝑡0	𝑡0	PROPN
cana-4537	176	30	,	,	PUNCT
cana-4537	176	31	𝐶1	𝐶1	NOUN
cana-4537	176	32	=	=	SYM
cana-4537	176	33	𝑦1(𝑡0	𝑦1(𝑡0	NOUN
cana-4537	176	34	,	,	PUNCT
cana-4537	176	35	∝	∝	NOUN
cana-4537	176	36	)	)	PUNCT
cana-4537	176	37	𝐼1(𝑡0	𝐼1(𝑡0	PROPN
cana-4537	176	38	,	,	PUNCT
cana-4537	176	39	∝	∝	PROPN
cana-4537	176	40	)	)	PUNCT
cana-4537	177	1	−	−	PROPN
cana-4537	178	1	(	(	PUNCT
cana-4537	178	2	∫𝑄1(𝑡	∫𝑄1(𝑡	PROPN
cana-4537	178	3	,	,	PUNCT
cana-4537	178	4	∝	∝	NOUN
cana-4537	178	5	)	)	PUNCT
cana-4537	178	6	𝐼1(𝑡	𝐼1(𝑡	NOUN
cana-4537	178	7	,	,	PUNCT
cana-4537	178	8	∝)𝑑𝑡	∝)𝑑𝑡	NOUN
cana-4537	178	9	)	)	PUNCT
cana-4537	178	10	𝑡=𝑡0	𝑡=𝑡0	NOUN
cana-4537	178	11	and	and	CCONJ
cana-4537	178	12	𝐶2	𝐶2	ADJ
cana-4537	178	13	=	=	NOUN
cana-4537	178	14	𝑦2(𝑡0	𝑦2(𝑡0	PROPN
cana-4537	178	15	,	,	PUNCT
cana-4537	178	16	∝	∝	PROPN
cana-4537	178	17	)	)	PUNCT
cana-4537	179	1	𝐼2(𝑡0	𝐼2(𝑡0	PROPN
cana-4537	179	2	,	,	PUNCT
cana-4537	179	3	∝	∝	PROPN
cana-4537	179	4	)	)	PUNCT
cana-4537	179	5	−	−	PROPN
cana-4537	179	6	(	(	PUNCT
cana-4537	179	7	∫𝑄2(𝑡	∫𝑄2(𝑡	PROPN
cana-4537	179	8	,	,	PUNCT
cana-4537	179	9	∝	∝	PROPN
cana-4537	179	10	)	)	PUNCT
cana-4537	179	11	𝐼2(𝑡	𝐼2(𝑡	PROPN
cana-4537	179	12	,	,	PUNCT
cana-4537	179	13	∝)𝑑𝑡	∝)𝑑𝑡	NOUN
cana-4537	179	14	)	)	PUNCT
cana-4537	179	15	𝑡=𝑡0	𝑡=𝑡0	NOUN
cana-4537	179	16	and	and	CCONJ
cana-4537	179	17	from	from	ADP
cana-4537	179	18	equation	equation	NOUN
cana-4537	179	19	(	(	PUNCT
cana-4537	179	20	18	18	NUM
cana-4537	179	21	)	)	PUNCT
cana-4537	179	22	and	and	CCONJ
cana-4537	179	23	(	(	PUNCT
cana-4537	179	24	19	19	NUM
cana-4537	179	25	)	)	PUNCT
cana-4537	179	26	we	we	PRON
cana-4537	179	27	get	get	VERB
cana-4537	179	28	𝑦1(𝑡	𝑦1(𝑡	NOUN
cana-4537	179	29	,	,	PUNCT
cana-4537	179	30	∝	∝	X
cana-4537	179	31	)	)	PUNCT
cana-4537	179	32	=	=	SYM
cana-4537	179	33	(	(	PUNCT
cana-4537	179	34	𝐼1(𝑡	𝐼1(𝑡	PROPN
cana-4537	179	35	,	,	PUNCT
cana-4537	179	36	∝	∝	NOUN
cana-4537	179	37	)	)	PUNCT
cana-4537	179	38	)	)	PUNCT
cana-4537	179	39	−1	−1	NOUN
cana-4537	179	40	{	{	PUNCT
cana-4537	179	41	∫𝑄1(𝑡	∫𝑄1(𝑡	NOUN
cana-4537	179	42	,	,	PUNCT
cana-4537	179	43	∝	∝	NOUN
cana-4537	179	44	)	)	PUNCT
cana-4537	179	45	𝐼1(𝑡	𝐼1(𝑡	NOUN
cana-4537	179	46	,	,	PUNCT
cana-4537	179	47	∝)𝑑𝑡	∝)𝑑𝑡	NOUN
cana-4537	179	48	+	+	CCONJ
cana-4537	179	49	(	(	PUNCT
cana-4537	179	50	𝑎1	𝑎1	X
cana-4537	179	51	+	+	NUM
cana-4537	179	52	αℒ	αℒ	NOUN
cana-4537	179	53	)	)	PUNCT
cana-4537	180	1	𝐼1(𝑡0	𝐼1(𝑡0	PROPN
cana-4537	180	2	,	,	PUNCT
cana-4537	180	3	∝	∝	PROPN
cana-4537	180	4	)	)	PUNCT
cana-4537	180	5	−	−	PROPN
cana-4537	180	6	(	(	PUNCT
cana-4537	180	7	∫𝑄1(𝑡	∫𝑄1(𝑡	PROPN
cana-4537	180	8	,	,	PUNCT
cana-4537	180	9	∝	∝	PROPN
cana-4537	180	10	)	)	PUNCT
cana-4537	180	11	𝐼1(𝑡	𝐼1(𝑡	NOUN
cana-4537	180	12	,	,	PUNCT
cana-4537	180	13	∝)𝑑𝑡	∝)𝑑𝑡	NOUN
cana-4537	180	14	)	)	PUNCT
cana-4537	180	15	𝑡=𝑡0	𝑡=𝑡0	PROPN
cana-4537	180	16	}	}	PUNCT
cana-4537	180	17	(	(	PUNCT
cana-4537	180	18	27	27	NUM
cana-4537	180	19	)	)	PUNCT
cana-4537	180	20	𝑦2(𝑡	𝑦2(𝑡	PROPN
cana-4537	180	21	,	,	PUNCT
cana-4537	180	22	∝	∝	X
cana-4537	180	23	)	)	PUNCT
cana-4537	180	24	=	=	PRON
cana-4537	180	25	(	(	PUNCT
cana-4537	180	26	𝐼2(𝑡	𝐼2(𝑡	PROPN
cana-4537	180	27	,	,	PUNCT
cana-4537	180	28	∝	∝	PROPN
cana-4537	180	29	)	)	PUNCT
cana-4537	180	30	)	)	PUNCT
cana-4537	180	31	−1	−1	NOUN
cana-4537	180	32	{	{	PUNCT
cana-4537	180	33	∫𝑄2(𝑡	∫𝑄2(𝑡	PROPN
cana-4537	180	34	,	,	PUNCT
cana-4537	180	35	∝	∝	PROPN
cana-4537	180	36	)	)	PUNCT
cana-4537	180	37	𝐼2(𝑡	𝐼2(𝑡	PROPN
cana-4537	180	38	,	,	PUNCT
cana-4537	180	39	∝)𝑑𝑡	∝)𝑑𝑡	NOUN
cana-4537	180	40	+	+	CCONJ
cana-4537	180	41	(	(	PUNCT
cana-4537	180	42	𝑎3	𝑎3	PROPN
cana-4537	180	43	−	−	PROPN
cana-4537	180	44	αℛ	αℛ	NUM
cana-4537	180	45	)	)	PUNCT
cana-4537	180	46	𝐼2(𝑡0	𝐼2(𝑡0	PROPN
cana-4537	180	47	,	,	PUNCT
cana-4537	180	48	∝	∝	PROPN
cana-4537	180	49	)	)	PUNCT
cana-4537	180	50	−	−	PROPN
cana-4537	181	1	(	(	PUNCT
cana-4537	181	2	∫𝑄2(𝑡	∫𝑄2(𝑡	PROPN
cana-4537	181	3	,	,	PUNCT
cana-4537	181	4	∝	∝	PROPN
cana-4537	181	5	)	)	PUNCT
cana-4537	182	1	𝐼2(𝑡	𝐼2(𝑡	PROPN
cana-4537	182	2	,	,	PUNCT
cana-4537	182	3	∝)𝑑𝑡	∝)𝑑𝑡	NOUN
cana-4537	182	4	)	)	PUNCT
cana-4537	182	5	𝑡=𝑡0	𝑡=𝑡0	PROPN
cana-4537	182	6	}	}	PUNCT
cana-4537	182	7	(	(	PUNCT
cana-4537	182	8	28	28	NUM
cana-4537	182	9	)	)	PUNCT
cana-4537	182	10	are	be	AUX
cana-4537	182	11	satisfying	satisfy	VERB
cana-4537	182	12	a	a	DET
cana-4537	182	13	condition	condition	NOUN
cana-4537	182	14	of	of	ADP
cana-4537	182	15	strong	strong	ADJ
cana-4537	182	16	solution	solution	NOUN
cana-4537	182	17	i.e.	i.e.	X
cana-4537	182	18	𝜕𝑦1(𝑡,α	𝜕𝑦1(𝑡,α	NUM
cana-4537	182	19	)	)	PUNCT
cana-4537	182	20	𝜕α	𝜕α	NOUN
cana-4537	182	21	>	>	X
cana-4537	182	22	0	0	PUNCT
cana-4537	182	23	and	and	CCONJ
cana-4537	182	24	𝜕𝑦2(𝑡,α	𝜕𝑦2(𝑡,α	NUM
cana-4537	182	25	)	)	PUNCT
cana-4537	182	26	𝜕α	𝜕α	PUNCT
cana-4537	182	27	<	<	X
cana-4537	183	1	0	0	X
cana-4537	183	2	.	.	PUNCT
cana-4537	184	1	hence	hence	ADV
cana-4537	184	2	,	,	PUNCT
cana-4537	184	3	based	base	VERB
cana-4537	184	4	on	on	ADP
cana-4537	184	5	α	α	NOUN
cana-4537	184	6	-	-	PUNCT
cana-4537	184	7	cut	cut	VERB
cana-4537	184	8	interval	interval	NOUN
cana-4537	184	9	arithmetic	arithmetic	NOUN
cana-4537	184	10	,	,	PUNCT
cana-4537	184	11	a	a	DET
cana-4537	184	12	solution	solution	NOUN
cana-4537	184	13	of	of	ADP
cana-4537	184	14	differential	differential	ADJ
cana-4537	184	15	equation	equation	NOUN
cana-4537	184	16	(	(	PUNCT
cana-4537	184	17	1	1	X
cana-4537	184	18	)	)	PUNCT
cana-4537	184	19	is	be	AUX
cana-4537	184	20	as	as	SCONJ
cana-4537	184	21	follows	follow	VERB
cana-4537	184	22	𝑦(𝑡	𝑦(𝑡	NUM
cana-4537	184	23	)	)	PUNCT
cana-4537	184	24	=	=	PUNCT
cana-4537	185	1	[	[	X
cana-4537	185	2	𝑦1(𝑡	𝑦1(𝑡	X
cana-4537	185	3	,	,	PUNCT
cana-4537	185	4	∝	∝	PROPN
cana-4537	185	5	)	)	PUNCT
cana-4537	185	6	,	,	PUNCT
cana-4537	185	7	𝑦1(𝑡	𝑦1(𝑡	PROPN
cana-4537	185	8	,	,	PUNCT
cana-4537	185	9	∝	∝	PROPN
cana-4537	185	10	)	)	PUNCT
cana-4537	185	11	,	,	PUNCT
cana-4537	185	12	𝑦2(𝑡	𝑦2(𝑡	PROPN
cana-4537	185	13	,	,	PUNCT
cana-4537	185	14	∝	∝	PROPN
cana-4537	185	15	)	)	PUNCT
cana-4537	185	16	,	,	PUNCT
cana-4537	185	17	𝑦2(𝑡	𝑦2(𝑡	PROPN
cana-4537	185	18	,	,	PUNCT
cana-4537	185	19	∝	∝	PROPN
cana-4537	185	20	)	)	PUNCT
cana-4537	185	21	]	]	PUNCT
cana-4537	186	1	=	=	PUNCT
cana-4537	186	2	(	(	PUNCT
cana-4537	186	3	𝐼(𝑡	𝐼(𝑡	PROPN
cana-4537	186	4	,	,	PUNCT
cana-4537	186	5	∝	∝	NOUN
cana-4537	186	6	)	)	PUNCT
cana-4537	186	7	)	)	PUNCT
cana-4537	186	8	−1	−1	NOUN
cana-4537	186	9	{	{	PUNCT
cana-4537	186	10	∫𝑄(𝑡	∫𝑄(𝑡	PROPN
cana-4537	186	11	)	)	PUNCT
cana-4537	186	12	𝐼(𝑡	𝐼(𝑡	NOUN
cana-4537	186	13	,	,	PUNCT
cana-4537	186	14	∝)𝑑𝑡	∝)𝑑𝑡	ADJ
cana-4537	186	15	+	+	NUM
cana-4537	186	16	𝑦(𝑡0	𝑦(𝑡0	NOUN
cana-4537	186	17	)	)	PUNCT
cana-4537	186	18	𝐼(𝑡0	𝐼(𝑡0	PROPN
cana-4537	186	19	,	,	PUNCT
cana-4537	186	20	∝	∝	PROPN
cana-4537	186	21	)	)	PUNCT
cana-4537	186	22	−	−	PROPN
cana-4537	187	1	(	(	PUNCT
cana-4537	187	2	∫𝑄(𝑡	∫𝑄(𝑡	PROPN
cana-4537	187	3	)	)	PUNCT
cana-4537	187	4	𝐼(𝑡	𝐼(𝑡	NOUN
cana-4537	187	5	,	,	PUNCT
cana-4537	187	6	∝)𝑑𝑡	∝)𝑑𝑡	ADJ
cana-4537	187	7	)	)	PUNCT
cana-4537	187	8	𝑡=𝑡0	𝑡=𝑡0	NOUN
cana-4537	187	9	}	}	PUNCT
cana-4537	187	10	(	(	PUNCT
cana-4537	187	11	29	29	NUM
cana-4537	187	12	)	)	PUNCT
cana-4537	187	13	communications	communication	NOUN
cana-4537	187	14	on	on	ADP
cana-4537	187	15	applied	apply	VERB
cana-4537	187	16	nonlinear	nonlinear	ADJ
cana-4537	187	17	analysis	analysis	NOUN
cana-4537	187	18	issn	issn	NOUN
cana-4537	187	19	:	:	PUNCT
cana-4537	187	20	1074	1074	NUM
cana-4537	187	21	-	-	PUNCT
cana-4537	187	22	133x	133x	NUM
cana-4537	187	23	vol	vol	NOUN
cana-4537	187	24	32	32	NUM
cana-4537	187	25	no	no	NOUN
cana-4537	187	26	.	.	PUNCT
cana-4537	188	1	9s	9s	NUM
cana-4537	188	2	(	(	PUNCT
cana-4537	188	3	2025	2025	NUM
cana-4537	188	4	)	)	PUNCT
cana-4537	188	5	2468	2468	NUM
cana-4537	188	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4537	188	7	here	here	ADV
cana-4537	188	8	,	,	PUNCT
cana-4537	188	9	(	(	PUNCT
cana-4537	188	10	𝐼(𝑡	𝐼(𝑡	PROPN
cana-4537	188	11	,	,	PUNCT
cana-4537	188	12	∝	∝	NOUN
cana-4537	188	13	)	)	PUNCT
cana-4537	188	14	)	)	PUNCT
cana-4537	189	1	=	=	PUNCT
cana-4537	190	1	[	[	X
cana-4537	190	2	(	(	PUNCT
cana-4537	190	3	𝐼1(𝑡	𝐼1(𝑡	NOUN
cana-4537	190	4	,	,	PUNCT
cana-4537	190	5	∝	∝	NOUN
cana-4537	190	6	)	)	PUNCT
cana-4537	190	7	)	)	PUNCT
cana-4537	190	8	,	,	PUNCT
cana-4537	190	9	(	(	PUNCT
cana-4537	190	10	𝐼2(𝑡	𝐼2(𝑡	PROPN
cana-4537	190	11	,	,	PUNCT
cana-4537	190	12	∝	∝	PROPN
cana-4537	190	13	)	)	PUNCT
cana-4537	190	14	)	)	PUNCT
cana-4537	190	15	]	]	PUNCT
cana-4537	190	16	𝑄(𝑡	𝑄(𝑡	X
cana-4537	190	17	)	)	PUNCT
cana-4537	190	18	=	=	PUNCT
cana-4537	191	1	[	[	X
cana-4537	191	2	𝑄1(𝑡),𝑄2(𝑡	𝑄1(𝑡),𝑄2(𝑡	NOUN
cana-4537	191	3	)	)	PUNCT
cana-4537	191	4	]	]	PUNCT
cana-4537	191	5	here	here	ADV
cana-4537	191	6	,	,	PUNCT
cana-4537	191	7	𝐼1(𝑡	𝐼1(𝑡	X
cana-4537	191	8	)	)	PUNCT
cana-4537	191	9	=	=	SYM
cana-4537	191	10	𝑀𝑖𝑛{𝐼1(𝑡	𝑀𝑖𝑛{𝐼1(𝑡	PROPN
cana-4537	191	11	,	,	PUNCT
cana-4537	191	12	0	0	NUM
cana-4537	191	13	)	)	PUNCT
cana-4537	191	14	,	,	PUNCT
cana-4537	191	15	𝐼1(𝑡	𝐼1(𝑡	NOUN
cana-4537	191	16	,	,	PUNCT
cana-4537	191	17	1	1	NUM
cana-4537	191	18	)	)	PUNCT
cana-4537	191	19	,	,	PUNCT
cana-4537	191	20	𝐼2(𝑡	𝐼2(𝑡	PROPN
cana-4537	191	21	,	,	PUNCT
cana-4537	191	22	0	0	NUM
cana-4537	191	23	)	)	PUNCT
cana-4537	191	24	,	,	PUNCT
cana-4537	191	25	𝐼2(𝑡	𝐼2(𝑡	PROPN
cana-4537	191	26	,	,	PUNCT
cana-4537	191	27	1	1	NUM
cana-4537	191	28	)	)	PUNCT
cana-4537	191	29	}	}	PUNCT
cana-4537	191	30	,	,	PUNCT
cana-4537	191	31	𝐼2(𝑡	𝐼2(𝑡	PROPN
cana-4537	191	32	)	)	PUNCT
cana-4537	191	33	=	=	SYM
cana-4537	191	34	𝑀𝑎𝑥{𝐼1(𝑡	𝑀𝑎𝑥{𝐼1(𝑡	PROPN
cana-4537	191	35	,	,	PUNCT
cana-4537	191	36	0	0	NUM
cana-4537	191	37	)	)	PUNCT
cana-4537	191	38	,	,	PUNCT
cana-4537	191	39	𝐼1(𝑡	𝐼1(𝑡	NOUN
cana-4537	191	40	,	,	PUNCT
cana-4537	191	41	1	1	NUM
cana-4537	191	42	)	)	PUNCT
cana-4537	191	43	,	,	PUNCT
cana-4537	191	44	𝐼2(𝑡	𝐼2(𝑡	PROPN
cana-4537	191	45	,	,	PUNCT
cana-4537	191	46	0	0	NUM
cana-4537	191	47	)	)	PUNCT
cana-4537	191	48	,	,	PUNCT
cana-4537	191	49	𝐼2(𝑡	𝐼2(𝑡	PROPN
cana-4537	191	50	,	,	PUNCT
cana-4537	191	51	1	1	NUM
cana-4537	191	52	)	)	PUNCT
cana-4537	191	53	}	}	PUNCT
cana-4537	191	54	,	,	PUNCT
cana-4537	191	55	𝑄1(𝑡	𝑄1(𝑡	X
cana-4537	191	56	)	)	PUNCT
cana-4537	192	1	=	=	SYM
cana-4537	192	2	𝑀𝑖𝑛{𝑄1(𝑡	𝑀𝑖𝑛{𝑄1(𝑡	NOUN
cana-4537	192	3	,	,	PUNCT
cana-4537	192	4	0	0	NUM
cana-4537	192	5	)	)	PUNCT
cana-4537	192	6	,	,	PUNCT
cana-4537	192	7	𝑄1(𝑡	𝑄1(𝑡	NOUN
cana-4537	192	8	,	,	PUNCT
cana-4537	192	9	1	1	NUM
cana-4537	192	10	)	)	PUNCT
cana-4537	192	11	,	,	PUNCT
cana-4537	192	12	𝑄2(𝑡	𝑄2(𝑡	PROPN
cana-4537	192	13	,	,	PUNCT
cana-4537	192	14	0	0	NUM
cana-4537	192	15	)	)	PUNCT
cana-4537	192	16	,	,	PUNCT
cana-4537	192	17	𝑄2(𝑡	𝑄2(𝑡	PROPN
cana-4537	192	18	,	,	PUNCT
cana-4537	192	19	1	1	NUM
cana-4537	192	20	)	)	PUNCT
cana-4537	192	21	}	}	PUNCT
cana-4537	192	22	and	and	CCONJ
cana-4537	192	23	𝑄2(𝑡	𝑄2(𝑡	PROPN
cana-4537	192	24	)	)	PUNCT
cana-4537	193	1	=	=	PUNCT
cana-4537	193	2	𝑀𝑎𝑥{𝑄1(𝑡	𝑀𝑎𝑥{𝑄1(𝑡	PROPN
cana-4537	193	3	,	,	PUNCT
cana-4537	193	4	0	0	NUM
cana-4537	193	5	)	)	PUNCT
cana-4537	193	6	,	,	PUNCT
cana-4537	193	7	𝑄1(𝑡	𝑄1(𝑡	NOUN
cana-4537	193	8	,	,	PUNCT
cana-4537	193	9	1	1	NUM
cana-4537	193	10	)	)	PUNCT
cana-4537	193	11	,	,	PUNCT
cana-4537	193	12	𝑄2(𝑡	𝑄2(𝑡	PROPN
cana-4537	193	13	,	,	PUNCT
cana-4537	193	14	0	0	NUM
cana-4537	193	15	)	)	PUNCT
cana-4537	193	16	,	,	PUNCT
cana-4537	193	17	𝑄2(𝑡	𝑄2(𝑡	PROPN
cana-4537	193	18	,	,	PUNCT
cana-4537	193	19	1	1	NUM
cana-4537	193	20	)	)	PUNCT
cana-4537	193	21	}	}	PUNCT
cana-4537	193	22	.	.	PUNCT
cana-4537	194	1	solved	solve	VERB
cana-4537	194	2	example	example	NOUN
cana-4537	194	3	:	:	PUNCT
cana-4537	194	4	ex	ex	X
cana-4537	194	5	.	.	PUNCT
cana-4537	194	6	:	:	PUNCT
cana-4537	194	7	consider	consider	VERB
cana-4537	194	8	non	non	ADJ
cana-4537	194	9	homogeneous	homogeneous	ADJ
cana-4537	194	10	differential	differential	ADJ
cana-4537	194	11	equation	equation	NOUN
cana-4537	194	12	𝑑𝑦(𝑡	𝑑𝑦(𝑡	PUNCT
cana-4537	194	13	)	)	PUNCT
cana-4537	194	14	𝑑𝑡	𝑑𝑡	ADP
cana-4537	194	15	+	+	NOUN
cana-4537	194	16	2𝑦(𝑡	2𝑦(𝑡	NUM
cana-4537	194	17	)	)	PUNCT
cana-4537	195	1	=	=	SYM
cana-4537	195	2	𝑡	𝑡	PROPN
cana-4537	195	3	with	with	ADP
cana-4537	195	4	starting	start	VERB
cana-4537	195	5	condition	condition	NOUN
cana-4537	195	6	𝑦0	𝑦0	NOUN
cana-4537	195	7	=	=	SYM
cana-4537	195	8	𝑦(𝑡0	𝑦(𝑡0	NOUN
cana-4537	195	9	)	)	PUNCT
cana-4537	195	10	=	=	SYM
cana-4537	195	11	𝑦(0	𝑦(0	PROPN
cana-4537	195	12	)	)	PUNCT
cana-4537	195	13	=	=	NOUN
cana-4537	196	1	[	[	X
cana-4537	196	2	0,1,2	0,1,2	X
cana-4537	196	3	]	]	X
cana-4537	196	4	is	be	AUX
cana-4537	196	5	tfn	tfn	NOUN
cana-4537	196	6	.	.	PUNCT
cana-4537	197	1	here	here	ADV
cana-4537	197	2	𝑃(𝑡	𝑃(𝑡	ADP
cana-4537	197	3	)	)	PUNCT
cana-4537	197	4	=	=	SYM
cana-4537	197	5	2	2	NUM
cana-4537	197	6	and	and	CCONJ
cana-4537	197	7	𝑄(𝑡	𝑄(𝑡	PRON
cana-4537	197	8	)	)	PUNCT
cana-4537	197	9	=	=	SYM
cana-4537	198	1	𝑡	𝑡	NOUN
cana-4537	198	2	are	be	AUX
cana-4537	198	3	real	real	ADV
cana-4537	198	4	valued	value	VERB
cana-4537	198	5	functions	function	NOUN
cana-4537	198	6	then	then	ADV
cana-4537	198	7	,	,	PUNCT
cana-4537	198	8	an	an	DET
cana-4537	198	9	integrating	integrating	NOUN
cana-4537	198	10	factor	factor	NOUN
cana-4537	198	11	is	be	AUX
cana-4537	198	12	𝐼(𝑡	𝐼(𝑡	NOUN
cana-4537	198	13	)	)	PUNCT
cana-4537	198	14	=	=	SYM
cana-4537	199	1	𝑒∫2𝑑𝑡	𝑒∫2𝑑𝑡	NOUN
cana-4537	199	2	=	=	PUNCT
cana-4537	199	3	𝑒2𝑡	𝑒2𝑡	NOUN
cana-4537	199	4	and	and	CCONJ
cana-4537	199	5	at	at	ADP
cana-4537	199	6	𝑡	𝑡	PROPN
cana-4537	199	7	=	=	SYM
cana-4537	199	8	𝑡0	𝑡0	PROPN
cana-4537	199	9	=	=	SYM
cana-4537	199	10	0	0	NUM
cana-4537	199	11	,	,	PUNCT
cana-4537	199	12	𝐼(𝑡0	𝐼(𝑡0	NOUN
cana-4537	199	13	)	)	PUNCT
cana-4537	199	14	=	=	NOUN
cana-4537	199	15	𝑒0	𝑒0	VERB
cana-4537	199	16	=	=	NOUN
cana-4537	199	17	1	1	NUM
cana-4537	199	18	and	and	CCONJ
cana-4537	199	19	hence	hence	ADV
cana-4537	199	20	its	its	PRON
cana-4537	199	21	solution	solution	NOUN
cana-4537	199	22	from	from	ADP
cana-4537	199	23	(	(	PUNCT
cana-4537	199	24	8)	8)	NUM
cana-4537	199	25	is	be	AUX
cana-4537	199	26	𝑦(𝑡	𝑦(𝑡	NUM
cana-4537	199	27	)	)	PUNCT
cana-4537	199	28	=	=	PUNCT
cana-4537	199	29	(	(	PUNCT
cana-4537	199	30	𝐼(𝑡	𝐼(𝑡	NOUN
cana-4537	199	31	)	)	PUNCT
cana-4537	199	32	)	)	PUNCT
cana-4537	199	33	−1	−1	NOUN
cana-4537	199	34	{	{	PUNCT
cana-4537	199	35	∫𝑄(𝑡	∫𝑄(𝑡	ADJ
cana-4537	199	36	)	)	PUNCT
cana-4537	199	37	𝐼(𝑡)𝑑𝑡	𝐼(𝑡)𝑑𝑡	NOUN
cana-4537	199	38	+	+	CCONJ
cana-4537	199	39	𝑦(𝑡0	𝑦(𝑡0	NOUN
cana-4537	199	40	)	)	PUNCT
cana-4537	199	41	𝐼(𝑡0	𝐼(𝑡0	PROPN
cana-4537	199	42	)	)	PUNCT
cana-4537	200	1	−	−	PROPN
cana-4537	200	2	(	(	PUNCT
cana-4537	200	3	∫𝑄(𝑡	∫𝑄(𝑡	PROPN
cana-4537	200	4	)	)	PUNCT
cana-4537	200	5	𝐼(𝑡)𝑑𝑡	𝐼(𝑡)𝑑𝑡	NOUN
cana-4537	200	6	)	)	PUNCT
cana-4537	200	7	𝑡=𝑡0	𝑡=𝑡0	PROPN
cana-4537	200	8	}	}	PUNCT
cana-4537	200	9	=	=	SYM
cana-4537	200	10	𝑒−2𝑡{∫	𝑒−2𝑡{∫	PROPN
cana-4537	200	11	𝑡	𝑡	PROPN
cana-4537	200	12	𝑒2𝑡𝑑𝑡	𝑒2𝑡𝑑𝑡	PROPN
cana-4537	200	13	+	+	X
cana-4537	201	1	[	[	X
cana-4537	201	2	0,1,2	0,1,2	X
cana-4537	201	3	]	]	X
cana-4537	201	4	−	−	PROPN
cana-4537	201	5	(	(	PUNCT
cana-4537	201	6	∫	∫	PROPN
cana-4537	201	7	𝑡	𝑡	PROPN
cana-4537	201	8	𝑒2𝑡𝑑𝑡	𝑒2𝑡𝑑𝑡	PROPN
cana-4537	201	9	)	)	PUNCT
cana-4537	201	10	𝑡=0	𝑡=0	ADP
cana-4537	201	11	}	}	PUNCT
cana-4537	201	12	=	=	SYM
cana-4537	202	1	𝑒−2𝑡	𝑒−2𝑡	INTJ
cana-4537	202	2	{	{	PUNCT
cana-4537	202	3	(	(	PUNCT
cana-4537	202	4	𝑡	𝑡	PROPN
cana-4537	202	5	2	2	NUM
cana-4537	202	6	−	−	NOUN
cana-4537	202	7	1	1	NUM
cana-4537	202	8	4	4	NUM
cana-4537	202	9	)	)	PUNCT
cana-4537	202	10	𝑒2𝑡	𝑒2𝑡	NOUN
cana-4537	202	11	+	+	CCONJ
cana-4537	203	1	[	[	X
cana-4537	203	2	0,1,2	0,1,2	X
cana-4537	203	3	]	]	X
cana-4537	203	4	−	−	PROPN
cana-4537	203	5	(	(	PUNCT
cana-4537	203	6	(	(	PUNCT
cana-4537	203	7	𝑡	𝑡	PROPN
cana-4537	203	8	2	2	NUM
cana-4537	203	9	−	−	NOUN
cana-4537	203	10	1	1	NUM
cana-4537	203	11	4	4	NUM
cana-4537	203	12	)	)	PUNCT
cana-4537	203	13	𝑒2𝑡	𝑒2𝑡	NOUN
cana-4537	203	14	)	)	PUNCT
cana-4537	203	15	𝑡=0	𝑡=0	ADP
cana-4537	203	16	}	}	PUNCT
cana-4537	203	17	=	=	SYM
cana-4537	204	1	𝑒−2𝑡	𝑒−2𝑡	INTJ
cana-4537	204	2	{	{	PUNCT
cana-4537	204	3	(	(	PUNCT
cana-4537	204	4	𝑡	𝑡	PROPN
cana-4537	204	5	2	2	NUM
cana-4537	204	6	−	−	NOUN
cana-4537	204	7	1	1	NUM
cana-4537	204	8	4	4	NUM
cana-4537	204	9	)	)	PUNCT
cana-4537	204	10	𝑒2𝑡	𝑒2𝑡	NOUN
cana-4537	204	11	+	+	CCONJ
cana-4537	205	1	[	[	X
cana-4537	205	2	0,1,2	0,1,2	X
cana-4537	205	3	]	]	X
cana-4537	205	4	+	+	CCONJ
cana-4537	205	5	1	1	NUM
cana-4537	205	6	4	4	NUM
cana-4537	205	7	}	}	PUNCT
cana-4537	205	8	=	=	SYM
cana-4537	205	9	𝑒−2𝑡	𝑒−2𝑡	INTJ
cana-4537	205	10	{	{	PUNCT
cana-4537	205	11	(	(	PUNCT
cana-4537	205	12	𝑡	𝑡	PROPN
cana-4537	205	13	2	2	NUM
cana-4537	205	14	−	−	NOUN
cana-4537	205	15	1	1	NUM
cana-4537	205	16	4	4	NUM
cana-4537	205	17	)	)	PUNCT
cana-4537	205	18	𝑒2𝑡	𝑒2𝑡	NOUN
cana-4537	205	19	+	+	CCONJ
cana-4537	205	20	[	[	PUNCT
cana-4537	205	21	1	1	NUM
cana-4537	205	22	4	4	NUM
cana-4537	205	23	,	,	PUNCT
cana-4537	205	24	5	5	NUM
cana-4537	205	25	4	4	NUM
cana-4537	205	26	,	,	PUNCT
cana-4537	205	27	9	9	NUM
cana-4537	205	28	4	4	NUM
cana-4537	205	29	]	]	PUNCT
cana-4537	205	30	}	}	PUNCT
cana-4537	205	31	is	be	AUX
cana-4537	205	32	the	the	DET
cana-4537	205	33	required	require	VERB
cana-4537	205	34	solution	solution	NOUN
cana-4537	205	35	4	4	NUM
cana-4537	205	36	.	.	PUNCT
cana-4537	205	37	conclusion	conclusion	NOUN
cana-4537	205	38	this	this	DET
cana-4537	205	39	paper	paper	NOUN
cana-4537	205	40	promotes	promote	VERB
cana-4537	205	41	a	a	DET
cana-4537	205	42	solution	solution	NOUN
cana-4537	205	43	of	of	ADP
cana-4537	205	44	nonhomogeneous	nonhomogeneous	ADJ
cana-4537	205	45	first	first	ADJ
cana-4537	205	46	order	order	NOUN
cana-4537	205	47	linear	linear	VERB
cana-4537	205	48	fuzzy	fuzzy	ADJ
cana-4537	205	49	differential	differential	ADJ
cana-4537	205	50	equation	equation	NOUN
cana-4537	205	51	with	with	ADP
cana-4537	205	52	starting	start	VERB
cana-4537	205	53	value	value	NOUN
cana-4537	205	54	condition	condition	NOUN
cana-4537	205	55	as	as	ADP
cana-4537	205	56	triangular	triangular	NOUN
cana-4537	205	57	fuzzy	fuzzy	ADJ
cana-4537	205	58	number	number	NOUN
cana-4537	205	59	.	.	PUNCT
cana-4537	206	1	here	here	ADV
cana-4537	206	2	,	,	PUNCT
cana-4537	206	3	we	we	PRON
cana-4537	206	4	have	have	AUX
cana-4537	206	5	considered	consider	VERB
cana-4537	206	6	four	four	NUM
cana-4537	206	7	different	different	ADJ
cana-4537	206	8	possible	possible	ADJ
cana-4537	206	9	cases	case	NOUN
cana-4537	206	10	of	of	ADP
cana-4537	206	11	functions	function	NOUN
cana-4537	206	12	involved	involve	VERB
cana-4537	206	13	in	in	ADP
cana-4537	206	14	differential	differential	ADJ
cana-4537	206	15	equations	equation	NOUN
cana-4537	206	16	.	.	PUNCT
cana-4537	207	1	in	in	ADP
cana-4537	207	2	this	this	DET
cana-4537	207	3	paper	paper	NOUN
cana-4537	207	4	we	we	PRON
cana-4537	207	5	solve	solve	VERB
cana-4537	207	6	a	a	DET
cana-4537	207	7	random	random	ADJ
cana-4537	207	8	example	example	NOUN
cana-4537	207	9	with	with	ADP
cana-4537	207	10	triangular	triangular	NOUN
cana-4537	207	11	fuzzy	fuzzy	ADJ
cana-4537	207	12	number	number	NOUN
cana-4537	207	13	as	as	ADP
cana-4537	207	14	initial	initial	ADJ
cana-4537	207	15	condition	condition	NOUN
cana-4537	207	16	and	and	CCONJ
cana-4537	207	17	obtained	obtain	VERB
cana-4537	207	18	a	a	DET
cana-4537	207	19	strong	strong	ADJ
cana-4537	207	20	solution	solution	NOUN
cana-4537	207	21	by	by	ADP
cana-4537	207	22	case	case	NOUN
cana-4537	207	23	-	-	PUNCT
cana-4537	207	24	i.	i.	NOUN
cana-4537	207	25	here	here	ADV
cana-4537	207	26	we	we	PRON
cana-4537	207	27	propose	propose	VERB
cana-4537	207	28	that	that	SCONJ
cana-4537	207	29	for	for	ADP
cana-4537	207	30	other	other	ADJ
cana-4537	207	31	cases	case	NOUN
cana-4537	207	32	of	of	ADP
cana-4537	207	33	functions	function	NOUN
cana-4537	207	34	involved	involve	VERB
cana-4537	207	35	in	in	ADP
cana-4537	207	36	differential	differential	ADJ
cana-4537	207	37	equations	equation	NOUN
cana-4537	207	38	,	,	PUNCT
cana-4537	207	39	the	the	DET
cana-4537	207	40	method	method	NOUN
cana-4537	207	41	is	be	AUX
cana-4537	207	42	appropriate	appropriate	ADJ
cana-4537	207	43	and	and	CCONJ
cana-4537	207	44	may	may	AUX
cana-4537	207	45	get	get	VERB
cana-4537	207	46	strong	strong	ADJ
cana-4537	207	47	solution	solution	NOUN
cana-4537	207	48	.	.	PUNCT
cana-4537	208	1	further	far	ADV
cana-4537	208	2	we	we	PRON
cana-4537	208	3	propose	propose	VERB
cana-4537	208	4	to	to	PART
cana-4537	208	5	solve	solve	VERB
cana-4537	208	6	first	first	ADJ
cana-4537	208	7	order	order	NOUN
cana-4537	208	8	nonhomogeneous	nonhomogeneous	ADJ
cana-4537	208	9	differential	differential	NOUN
cana-4537	208	10	equation	equation	NOUN
cana-4537	208	11	under	under	ADP
cana-4537	208	12	different	different	ADJ
cana-4537	208	13	fuzzy	fuzzy	ADJ
cana-4537	208	14	numbers	number	NOUN
cana-4537	208	15	as	as	ADP
cana-4537	208	16	initial	initial	ADJ
cana-4537	208	17	value	value	NOUN
cana-4537	208	18	5	5	NUM
cana-4537	208	19	.	.	PUNCT
cana-4537	208	20	acknowledgement	acknowledgement	NOUN
cana-4537	208	21	we	we	PRON
cana-4537	208	22	are	be	AUX
cana-4537	208	23	extremely	extremely	ADV
cana-4537	208	24	thankful	thankful	ADJ
cana-4537	208	25	and	and	CCONJ
cana-4537	208	26	oblige	oblige	VERB
cana-4537	208	27	to	to	ADP
cana-4537	208	28	the	the	DET
cana-4537	208	29	reviewers	reviewer	NOUN
cana-4537	208	30	of	of	ADP
cana-4537	208	31	this	this	DET
cana-4537	208	32	paper	paper	NOUN
cana-4537	208	33	and	and	CCONJ
cana-4537	208	34	the	the	DET
cana-4537	208	35	editors	editor	NOUN
cana-4537	208	36	of	of	ADP
cana-4537	208	37	journal	journal	NOUN
cana-4537	208	38	for	for	ADP
cana-4537	208	39	their	their	PRON
cana-4537	208	40	valuable	valuable	ADJ
cana-4537	208	41	remarks	remark	NOUN
cana-4537	208	42	which	which	PRON
cana-4537	208	43	encourages	encourage	VERB
cana-4537	208	44	us	we	PRON
cana-4537	208	45	to	to	PART
cana-4537	208	46	put	put	VERB
cana-4537	208	47	some	some	DET
cana-4537	208	48	ideas	idea	NOUN
cana-4537	208	49	in	in	ADP
cana-4537	208	50	front	front	NOUN
cana-4537	208	51	of	of	ADP
cana-4537	208	52	the	the	DET
cana-4537	208	53	world	world	NOUN
cana-4537	208	54	and	and	CCONJ
cana-4537	208	55	help	help	VERB
cana-4537	208	56	us	we	PRON
cana-4537	208	57	to	to	PART
cana-4537	208	58	advance	advance	VERB
cana-4537	208	59	the	the	DET
cana-4537	208	60	demonstration	demonstration	NOUN
cana-4537	208	61	.	.	PUNCT
cana-4537	209	1	communications	communication	NOUN
cana-4537	209	2	on	on	ADP
cana-4537	209	3	applied	apply	VERB
cana-4537	209	4	nonlinear	nonlinear	ADJ
cana-4537	209	5	analysis	analysis	NOUN
cana-4537	209	6	issn	issn	NOUN
cana-4537	209	7	:	:	PUNCT
cana-4537	209	8	1074	1074	NUM
cana-4537	209	9	-	-	PUNCT
cana-4537	209	10	133x	133x	NUM
cana-4537	209	11	vol	vol	NOUN
cana-4537	209	12	32	32	NUM
cana-4537	209	13	no	no	NOUN
cana-4537	209	14	.	.	PUNCT
cana-4537	210	1	9s	9s	NUM
cana-4537	210	2	(	(	PUNCT
cana-4537	210	3	2025	2025	NUM
cana-4537	210	4	)	)	PUNCT
cana-4537	210	5	2469	2469	NUM
cana-4537	211	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-4537	211	2	refrences	refrence	VERB
cana-4537	212	1	[	[	X
cana-4537	212	2	1	1	NUM
cana-4537	212	3	]	]	X
cana-4537	212	4	kandel	kandel	PROPN
cana-4537	212	5	,	,	PUNCT
cana-4537	212	6	a.	a.	PROPN
cana-4537	212	7	,	,	PUNCT
cana-4537	212	8	&	&	CCONJ
cana-4537	212	9	byatt	byatt	PROPN
cana-4537	212	10	,	,	PUNCT
cana-4537	212	11	w.	w.	PROPN
cana-4537	212	12	j.	j.	PROPN
cana-4537	212	13	(	(	PUNCT
cana-4537	212	14	1978	1978	NUM
cana-4537	212	15	)	)	PUNCT
cana-4537	212	16	.	.	PUNCT
cana-4537	213	1	fuzzy	fuzzy	ADJ
cana-4537	213	2	sets	set	NOUN
cana-4537	213	3	,	,	PUNCT
cana-4537	213	4	fuzzy	fuzzy	ADJ
cana-4537	213	5	algebra	algebra	NOUN
cana-4537	213	6	,	,	PUNCT
cana-4537	213	7	and	and	CCONJ
cana-4537	213	8	fuzzy	fuzzy	ADJ
cana-4537	213	9	statistics	statistic	NOUN
cana-4537	213	10	.	.	PUNCT
cana-4537	214	1	proceedings	proceeding	NOUN
cana-4537	214	2	of	of	ADP
cana-4537	214	3	the	the	DET
cana-4537	214	4	ieee	ieee	NOUN
cana-4537	214	5	,	,	PUNCT
cana-4537	214	6	66(12	66(12	NOUN
cana-4537	214	7	)	)	PUNCT
cana-4537	214	8	,	,	PUNCT
cana-4537	214	9	1619	1619	NUM
cana-4537	214	10	-	-	SYM
cana-4537	214	11	1639	1639	NUM
cana-4537	214	12	.	.	PUNCT
cana-4537	215	1	[	[	X
cana-4537	215	2	2	2	NUM
cana-4537	215	3	]	]	X
cana-4537	215	4	dubois	dubois	PROPN
cana-4537	215	5	,	,	PUNCT
cana-4537	215	6	d.	d.	PROPN
cana-4537	215	7	,	,	PUNCT
cana-4537	215	8	&	&	CCONJ
cana-4537	215	9	prade	prade	PROPN
cana-4537	215	10	,	,	PUNCT
cana-4537	215	11	h.	h.	PROPN
cana-4537	215	12	(	(	PUNCT
cana-4537	215	13	1982	1982	NUM
cana-4537	215	14	)	)	PUNCT
cana-4537	215	15	.	.	PUNCT
cana-4537	216	1	towards	towards	ADP
cana-4537	216	2	fuzzy	fuzzy	ADJ
cana-4537	216	3	differential	differential	ADJ
cana-4537	216	4	calculus	calculus	NOUN
cana-4537	216	5	part	part	NOUN
cana-4537	216	6	1	1	NUM
cana-4537	216	7	:	:	PUNCT
cana-4537	216	8	integration	integration	NOUN
cana-4537	216	9	of	of	ADP
cana-4537	216	10	fuzzy	fuzzy	ADJ
cana-4537	216	11	mappings	mapping	NOUN
cana-4537	216	12	.	.	PUNCT
cana-4537	217	1	fuzzy	fuzzy	ADJ
cana-4537	217	2	sets	set	NOUN
cana-4537	217	3	and	and	CCONJ
cana-4537	217	4	systems	system	NOUN
cana-4537	217	5	,	,	PUNCT
cana-4537	217	6	8(1	8(1	NOUN
cana-4537	217	7	)	)	PUNCT
cana-4537	217	8	,	,	PUNCT
cana-4537	217	9	1	1	NUM
cana-4537	217	10	-	-	SYM
cana-4537	217	11	17	17	NUM
cana-4537	217	12	.	.	PUNCT
cana-4537	218	1	[	[	X
cana-4537	218	2	3	3	NUM
cana-4537	218	3	]	]	X
cana-4537	218	4	dubois	dubois	PROPN
cana-4537	218	5	,	,	PUNCT
cana-4537	218	6	d.	d.	PROPN
cana-4537	218	7	,	,	PUNCT
cana-4537	218	8	&	&	CCONJ
cana-4537	218	9	prade	prade	PROPN
cana-4537	218	10	,	,	PUNCT
cana-4537	218	11	h.	h.	PROPN
cana-4537	218	12	(	(	PUNCT
cana-4537	218	13	1982	1982	NUM
cana-4537	218	14	)	)	PUNCT
cana-4537	218	15	.	.	PUNCT
cana-4537	219	1	towards	towards	ADP
cana-4537	219	2	fuzzy	fuzzy	ADJ
cana-4537	219	3	differential	differential	ADJ
cana-4537	219	4	calculus	calculus	NOUN
cana-4537	219	5	part	part	NOUN
cana-4537	219	6	2	2	NUM
cana-4537	219	7	:	:	PUNCT
cana-4537	219	8	integration	integration	NOUN
cana-4537	219	9	on	on	ADP
cana-4537	219	10	fuzzy	fuzzy	ADJ
cana-4537	219	11	intervals	interval	NOUN
cana-4537	219	12	.	.	PUNCT
cana-4537	220	1	fuzzy	fuzzy	ADJ
cana-4537	220	2	sets	set	NOUN
cana-4537	220	3	and	and	CCONJ
cana-4537	220	4	systems	system	NOUN
cana-4537	220	5	,	,	PUNCT
cana-4537	220	6	8(2	8(2	NUM
cana-4537	220	7	)	)	PUNCT
cana-4537	220	8	,	,	PUNCT
cana-4537	220	9	105	105	NUM
cana-4537	220	10	-	-	SYM
cana-4537	220	11	116	116	NUM
cana-4537	220	12	.	.	PUNCT
cana-4537	221	1	[	[	X
cana-4537	221	2	4	4	NUM
cana-4537	221	3	]	]	X
cana-4537	221	4	dubois	dubois	PROPN
cana-4537	221	5	,	,	PUNCT
cana-4537	221	6	d.	d.	PROPN
cana-4537	221	7	,	,	PUNCT
cana-4537	221	8	&	&	CCONJ
cana-4537	221	9	prade	prade	PROPN
cana-4537	221	10	,	,	PUNCT
cana-4537	221	11	h.	h.	PROPN
cana-4537	221	12	(	(	PUNCT
cana-4537	221	13	1982	1982	NUM
cana-4537	221	14	)	)	PUNCT
cana-4537	221	15	.	.	PUNCT
cana-4537	222	1	towards	towards	ADP
cana-4537	222	2	fuzzy	fuzzy	ADJ
cana-4537	222	3	differential	differential	ADJ
cana-4537	222	4	calculus	calculus	NOUN
cana-4537	222	5	part	part	NOUN
cana-4537	222	6	3	3	NUM
cana-4537	222	7	:	:	PUNCT
cana-4537	222	8	differentiation	differentiation	NOUN
cana-4537	222	9	.	.	PUNCT
cana-4537	223	1	fuzzy	fuzzy	ADJ
cana-4537	223	2	sets	set	NOUN
cana-4537	223	3	and	and	CCONJ
cana-4537	223	4	systems	system	NOUN
cana-4537	223	5	,	,	PUNCT
cana-4537	223	6	8(3	8(3	NUM
cana-4537	223	7	)	)	PUNCT
cana-4537	223	8	,	,	PUNCT
cana-4537	223	9	225	225	NUM
cana-4537	223	10	-	-	SYM
cana-4537	223	11	233	233	NUM
cana-4537	223	12	.	.	PUNCT
cana-4537	224	1	[	[	X
cana-4537	224	2	5	5	NUM
cana-4537	224	3	]	]	SYM
cana-4537	224	4	seikkala	seikkala	NOUN
cana-4537	224	5	,	,	PUNCT
cana-4537	224	6	s.	s.	PROPN
cana-4537	224	7	(	(	PUNCT
cana-4537	224	8	1987	1987	NUM
cana-4537	224	9	)	)	PUNCT
cana-4537	224	10	.	.	PUNCT
cana-4537	225	1	on	on	ADP
cana-4537	225	2	the	the	DET
cana-4537	225	3	fuzzy	fuzzy	ADJ
cana-4537	225	4	initial	initial	ADJ
cana-4537	225	5	value	value	NOUN
cana-4537	225	6	problem	problem	NOUN
cana-4537	225	7	.	.	PUNCT
cana-4537	226	1	fuzzy	fuzzy	ADJ
cana-4537	226	2	sets	set	NOUN
cana-4537	226	3	and	and	CCONJ
cana-4537	226	4	systems	system	NOUN
cana-4537	226	5	,	,	PUNCT
cana-4537	226	6	24(3	24(3	NUM
cana-4537	226	7	)	)	PUNCT
cana-4537	226	8	,	,	PUNCT
cana-4537	226	9	319330	319330	NUM
cana-4537	226	10	.	.	PUNCT
cana-4537	227	1	[	[	X
cana-4537	227	2	6	6	NUM
cana-4537	227	3	]	]	X
cana-4537	227	4	kaleva	kaleva	X
cana-4537	227	5	,	,	PUNCT
cana-4537	227	6	o.	o.	INTJ
cana-4537	227	7	(	(	PUNCT
cana-4537	227	8	1987	1987	NUM
cana-4537	227	9	)	)	PUNCT
cana-4537	227	10	.	.	PUNCT
cana-4537	228	1	fuzzy	fuzzy	ADJ
cana-4537	228	2	differential	differential	ADJ
cana-4537	228	3	equations	equation	NOUN
cana-4537	228	4	.	.	PUNCT
cana-4537	229	1	fuzzy	fuzzy	ADJ
cana-4537	229	2	sets	set	NOUN
cana-4537	229	3	and	and	CCONJ
cana-4537	229	4	systems	system	NOUN
cana-4537	229	5	,	,	PUNCT
cana-4537	229	6	24(3	24(3	NUM
cana-4537	229	7	)	)	PUNCT
cana-4537	229	8	,	,	PUNCT
cana-4537	229	9	301	301	NUM
cana-4537	229	10	-	-	SYM
cana-4537	229	11	317	317	NUM
cana-4537	229	12	.	.	PUNCT
cana-4537	230	1	[	[	X
cana-4537	230	2	7	7	NUM
cana-4537	230	3	]	]	X
cana-4537	230	4	kloeden	kloeden	PROPN
cana-4537	230	5	,	,	PUNCT
cana-4537	230	6	p.	p.	PROPN
cana-4537	230	7	e.	e.	PROPN
cana-4537	230	8	(	(	PUNCT
cana-4537	230	9	1991	1991	NUM
cana-4537	230	10	)	)	PUNCT
cana-4537	230	11	.	.	PUNCT
cana-4537	231	1	remarks	remark	NOUN
cana-4537	231	2	on	on	ADP
cana-4537	231	3	peano	peano	NOUN
cana-4537	231	4	-	-	PUNCT
cana-4537	231	5	like	like	ADJ
cana-4537	231	6	theorems	theorem	NOUN
cana-4537	231	7	for	for	ADP
cana-4537	231	8	fuzzy	fuzzy	ADJ
cana-4537	231	9	differential	differential	ADJ
cana-4537	231	10	equations	equation	NOUN
cana-4537	231	11	.	.	PUNCT
cana-4537	232	1	fuzzy	fuzzy	ADJ
cana-4537	232	2	sets	set	NOUN
cana-4537	232	3	and	and	CCONJ
cana-4537	232	4	systems	system	NOUN
cana-4537	232	5	,	,	PUNCT
cana-4537	232	6	44(1	44(1	PROPN
cana-4537	232	7	)	)	PUNCT
cana-4537	232	8	,	,	PUNCT
cana-4537	232	9	161	161	NUM
cana-4537	232	10	-	-	SYM
cana-4537	232	11	163	163	NUM
cana-4537	232	12	.	.	PUNCT
cana-4537	233	1	[	[	X
cana-4537	233	2	8	8	NUM
cana-4537	233	3	]	]	X
cana-4537	233	4	yunqing	yunqing	NOUN
cana-4537	233	5	,	,	PUNCT
cana-4537	233	6	w.	w.	NOUN
cana-4537	233	7	(	(	PUNCT
cana-4537	233	8	1990	1990	NUM
cana-4537	233	9	)	)	PUNCT
cana-4537	233	10	.	.	PUNCT
cana-4537	234	1	the	the	DET
cana-4537	234	2	initial	initial	ADJ
cana-4537	234	3	value	value	NOUN
cana-4537	234	4	problems	problem	NOUN
cana-4537	234	5	of	of	ADP
cana-4537	234	6	fuzzy	fuzzy	ADJ
cana-4537	234	7	differential	differential	ADJ
cana-4537	234	8	equations	equation	NOUN
cana-4537	234	9	.	.	PUNCT
cana-4537	235	1	advancement	advancement	NOUN
cana-4537	235	2	of	of	ADP
cana-4537	235	3	fuzzy	fuzzy	ADJ
cana-4537	235	4	theory	theory	NOUN
cana-4537	235	5	and	and	CCONJ
cana-4537	235	6	systems	system	NOUN
cana-4537	235	7	in	in	ADP
cana-4537	235	8	china	china	PROPN
cana-4537	235	9	and	and	CCONJ
cana-4537	235	10	japan	japan	PROPN
cana-4537	235	11	.	.	PUNCT
cana-4537	236	1	[	[	X
cana-4537	236	2	9	9	NUM
cana-4537	236	3	]	]	PUNCT
cana-4537	236	4	buckley	buckley	NOUN
cana-4537	236	5	,	,	PUNCT
cana-4537	236	6	j.	j.	PROPN
cana-4537	236	7	j.	j.	PROPN
cana-4537	236	8	,	,	PUNCT
cana-4537	236	9	&	&	CCONJ
cana-4537	236	10	feuring	feuring	PROPN
cana-4537	236	11	,	,	PUNCT
cana-4537	236	12	t.	t.	PROPN
cana-4537	236	13	(	(	PUNCT
cana-4537	236	14	2000	2000	NUM
cana-4537	236	15	)	)	PUNCT
cana-4537	236	16	.	.	PUNCT
cana-4537	237	1	fuzzy	fuzzy	ADJ
cana-4537	237	2	differential	differential	ADJ
cana-4537	237	3	equations	equation	NOUN
cana-4537	237	4	.	.	PUNCT
cana-4537	238	1	fuzzy	fuzzy	ADJ
cana-4537	238	2	sets	set	NOUN
cana-4537	238	3	and	and	CCONJ
cana-4537	238	4	systems	system	NOUN
cana-4537	238	5	,	,	PUNCT
cana-4537	238	6	110(1	110(1	NUM
cana-4537	238	7	)	)	PUNCT
cana-4537	238	8	,	,	PUNCT
cana-4537	238	9	43	43	NUM
cana-4537	238	10	-	-	SYM
cana-4537	238	11	54	54	NUM
cana-4537	238	12	.	.	PUNCT
cana-4537	239	1	[	[	X
cana-4537	239	2	10	10	NUM
cana-4537	239	3	]	]	X
cana-4537	239	4	park	park	NOUN
cana-4537	239	5	,	,	PUNCT
cana-4537	239	6	j.	j.	PROPN
cana-4537	239	7	y.	y.	PROPN
cana-4537	239	8	,	,	PUNCT
cana-4537	239	9	&	&	CCONJ
cana-4537	239	10	han	han	PROPN
cana-4537	239	11	,	,	PUNCT
cana-4537	239	12	h.	h.	PROPN
cana-4537	239	13	k.	k.	PROPN
cana-4537	239	14	(	(	PUNCT
cana-4537	239	15	2000	2000	NUM
cana-4537	239	16	)	)	PUNCT
cana-4537	239	17	.	.	PUNCT
cana-4537	240	1	fuzzy	fuzzy	ADJ
cana-4537	240	2	differential	differential	ADJ
cana-4537	240	3	equations	equation	NOUN
cana-4537	240	4	.	.	PUNCT
cana-4537	241	1	fuzzy	fuzzy	ADJ
cana-4537	241	2	sets	set	NOUN
cana-4537	241	3	and	and	CCONJ
cana-4537	241	4	systems	system	NOUN
cana-4537	241	5	,	,	PUNCT
cana-4537	241	6	110(1	110(1	NUM
cana-4537	241	7	)	)	PUNCT
cana-4537	241	8	,	,	PUNCT
cana-4537	241	9	69	69	NUM
cana-4537	241	10	-	-	SYM
cana-4537	241	11	77	77	NUM
cana-4537	241	12	.	.	PUNCT
cana-4537	242	1	[	[	X
cana-4537	242	2	11	11	NUM
cana-4537	242	3	]	]	SYM
cana-4537	242	4	chalco	chalco	PROPN
cana-4537	242	5	-	-	PUNCT
cana-4537	242	6	cano	cano	PROPN
cana-4537	242	7	,	,	PUNCT
cana-4537	242	8	y.	y.	PROPN
cana-4537	242	9	,	,	PUNCT
cana-4537	242	10	&	&	CCONJ
cana-4537	242	11	roman	roman	NOUN
cana-4537	242	12	-	-	PUNCT
cana-4537	242	13	flores	flore	NOUN
cana-4537	242	14	,	,	PUNCT
cana-4537	242	15	h.	h.	PROPN
cana-4537	242	16	(	(	PUNCT
cana-4537	242	17	2008	2008	NUM
cana-4537	242	18	)	)	PUNCT
cana-4537	242	19	.	.	PUNCT
cana-4537	243	1	on	on	ADP
cana-4537	243	2	new	new	ADJ
cana-4537	243	3	solutions	solution	NOUN
cana-4537	243	4	of	of	ADP
cana-4537	243	5	fuzzy	fuzzy	ADJ
cana-4537	243	6	differential	differential	ADJ
cana-4537	243	7	equations	equation	NOUN
cana-4537	243	8	.	.	PUNCT
cana-4537	244	1	chaos	chaos	NOUN
cana-4537	244	2	,	,	PUNCT
cana-4537	244	3	solitons	soliton	NOUN
cana-4537	244	4	&	&	CCONJ
cana-4537	244	5	fractals	fractal	NOUN
cana-4537	244	6	,	,	PUNCT
cana-4537	244	7	38(1	38(1	NUM
cana-4537	244	8	)	)	PUNCT
cana-4537	244	9	,	,	PUNCT
cana-4537	244	10	112	112	NUM
cana-4537	244	11	-	-	SYM
cana-4537	244	12	119	119	NUM
cana-4537	244	13	.	.	PUNCT
cana-4537	245	1	[	[	X
cana-4537	245	2	12	12	NUM
cana-4537	245	3	]	]	PUNCT
cana-4537	245	4	bede	bede	NOUN
cana-4537	245	5	,	,	PUNCT
cana-4537	245	6	b.	b.	PROPN
cana-4537	245	7	,	,	PUNCT
cana-4537	245	8	&	&	CCONJ
cana-4537	245	9	gal	gal	PROPN
cana-4537	245	10	,	,	PUNCT
cana-4537	245	11	s.	s.	PROPN
cana-4537	245	12	g.	g.	PROPN
cana-4537	245	13	(	(	PUNCT
cana-4537	245	14	2010	2010	NUM
cana-4537	245	15	)	)	PUNCT
cana-4537	245	16	.	.	PUNCT
cana-4537	246	1	solutions	solution	NOUN
cana-4537	246	2	of	of	ADP
cana-4537	246	3	fuzzy	fuzzy	ADJ
cana-4537	246	4	differential	differential	ADJ
cana-4537	246	5	equations	equation	NOUN
cana-4537	246	6	based	base	VERB
cana-4537	246	7	on	on	ADP
cana-4537	246	8	generalized	generalized	ADJ
cana-4537	246	9	differentiability	differentiability	NOUN
cana-4537	246	10	.	.	PUNCT
cana-4537	247	1	[	[	X
cana-4537	247	2	13	13	NUM
cana-4537	247	3	]	]	PUNCT
cana-4537	247	4	bede	bede	NOUN
cana-4537	247	5	,	,	PUNCT
cana-4537	247	6	b.	b.	PROPN
cana-4537	247	7	,	,	PUNCT
cana-4537	247	8	gal	gal	PROPN
cana-4537	247	9	,	,	PUNCT
cana-4537	247	10	s.	s.	PROPN
cana-4537	247	11	g.	g.	PROPN
cana-4537	247	12	,	,	PUNCT
cana-4537	247	13	&	&	CCONJ
cana-4537	247	14	stefanini	stefanini	PROPN
cana-4537	247	15	,	,	PUNCT
cana-4537	247	16	l.	l.	PROPN
cana-4537	247	17	(	(	PUNCT
cana-4537	247	18	2010	2010	NUM
cana-4537	247	19	,	,	PUNCT
cana-4537	247	20	july	july	PROPN
cana-4537	247	21	)	)	PUNCT
cana-4537	247	22	.	.	PUNCT
cana-4537	248	1	solutions	solution	NOUN
cana-4537	248	2	of	of	ADP
cana-4537	248	3	fuzzy	fuzzy	ADJ
cana-4537	248	4	differential	differential	ADJ
cana-4537	248	5	equations	equation	NOUN
cana-4537	248	6	with	with	ADP
cana-4537	248	7	lr	lr	PRON
cana-4537	248	8	fuzzy	fuzzy	ADJ
cana-4537	248	9	numbers	number	NOUN
cana-4537	248	10	.	.	PUNCT
cana-4537	249	1	in	in	ADP
cana-4537	249	2	4th	4th	ADJ
cana-4537	249	3	international	international	ADJ
cana-4537	249	4	workshop	workshop	NOUN
cana-4537	249	5	on	on	ADP
cana-4537	249	6	soft	soft	ADJ
cana-4537	249	7	computing	computing	NOUN
cana-4537	249	8	applications	application	NOUN
cana-4537	249	9	(	(	PUNCT
cana-4537	249	10	pp	pp	ADJ
cana-4537	249	11	.	.	PUNCT
cana-4537	249	12	197	197	NUM
cana-4537	249	13	-	-	SYM
cana-4537	249	14	201	201	NUM
cana-4537	249	15	)	)	PUNCT
cana-4537	249	16	.	.	PUNCT
cana-4537	250	1	ieee	ieee	NOUN
cana-4537	250	2	.	.	PUNCT
cana-4537	251	1	[	[	X
cana-4537	251	2	14	14	NUM
cana-4537	251	3	]	]	SYM
cana-4537	251	4	duraisamy	duraisamy	NOUN
cana-4537	251	5	,	,	PUNCT
cana-4537	251	6	c.	c.	PROPN
cana-4537	251	7	,	,	PUNCT
cana-4537	251	8	&	&	CCONJ
cana-4537	251	9	usha	usha	PROPN
cana-4537	251	10	,	,	PUNCT
cana-4537	251	11	b.	b.	PROPN
cana-4537	251	12	(	(	PUNCT
cana-4537	251	13	2010	2010	NUM
cana-4537	251	14	)	)	PUNCT
cana-4537	251	15	.	.	PUNCT
cana-4537	252	1	another	another	DET
cana-4537	252	2	approach	approach	NOUN
cana-4537	252	3	to	to	ADP
cana-4537	252	4	solution	solution	NOUN
cana-4537	252	5	of	of	ADP
cana-4537	252	6	fuzzy	fuzzy	ADJ
cana-4537	252	7	differential	differential	ADJ
cana-4537	252	8	equations	equation	NOUN
cana-4537	252	9	.	.	PUNCT
cana-4537	253	1	applied	apply	VERB
cana-4537	253	2	mathematical	mathematical	ADJ
cana-4537	253	3	sciences	science	NOUN
cana-4537	253	4	,	,	PUNCT
cana-4537	253	5	4(16	4(16	NUM
cana-4537	253	6	)	)	PUNCT
cana-4537	253	7	,	,	PUNCT
cana-4537	253	8	777	777	NUM
cana-4537	253	9	-	-	SYM
cana-4537	253	10	790	790	NUM
cana-4537	253	11	.	.	PUNCT
cana-4537	254	1	[	[	X
cana-4537	254	2	15	15	NUM
cana-4537	254	3	]	]	X
cana-4537	254	4	salahshour	salahshour	PROPN
cana-4537	254	5	,	,	PUNCT
cana-4537	254	6	s.	s.	PROPN
cana-4537	254	7	(	(	PUNCT
cana-4537	254	8	2011	2011	NUM
cana-4537	254	9	)	)	PUNCT
cana-4537	254	10	.	.	PUNCT
cana-4537	255	1	nth	nth	ADJ
cana-4537	255	2	-	-	PUNCT
cana-4537	255	3	order	order	NOUN
cana-4537	255	4	fuzzy	fuzzy	ADJ
cana-4537	255	5	differential	differential	ADJ
cana-4537	255	6	equations	equation	NOUN
cana-4537	255	7	under	under	ADP
cana-4537	255	8	generalized	generalized	ADJ
cana-4537	255	9	differentiability	differentiability	NOUN
cana-4537	255	10	.	.	PUNCT
cana-4537	255	11	journal	journal	PROPN
cana-4537	255	12	of	of	ADP
cana-4537	255	13	fuzzy	fuzzy	ADJ
cana-4537	255	14	set	set	VERB
cana-4537	255	15	valued	value	VERB
cana-4537	255	16	analysis	analysis	NOUN
cana-4537	255	17	,	,	PUNCT
cana-4537	255	18	2011	2011	NUM
cana-4537	255	19	,	,	PUNCT
cana-4537	255	20	1	1	NUM
cana-4537	255	21	-	-	SYM
cana-4537	255	22	14	14	NUM
cana-4537	255	23	.	.	PUNCT
cana-4537	256	1	[	[	X
cana-4537	256	2	16	16	NUM
cana-4537	256	3	]	]	X
cana-4537	256	4	mondal	mondal	PROPN
cana-4537	256	5	,	,	PUNCT
cana-4537	256	6	s.	s.	PROPN
cana-4537	256	7	p.	p.	PROPN
cana-4537	256	8	,	,	PUNCT
cana-4537	256	9	&	&	CCONJ
cana-4537	256	10	roy	roy	PROPN
cana-4537	256	11	,	,	PUNCT
cana-4537	256	12	t.	t.	PROPN
cana-4537	256	13	k.	k.	PROPN
cana-4537	256	14	(	(	PUNCT
cana-4537	256	15	2013	2013	NUM
cana-4537	256	16	)	)	PUNCT
cana-4537	256	17	.	.	PUNCT
cana-4537	257	1	first	first	ADJ
cana-4537	257	2	order	order	NOUN
cana-4537	257	3	linear	linear	VERB
cana-4537	257	4	homogeneous	homogeneous	ADJ
cana-4537	257	5	fuzzy	fuzzy	ADJ
cana-4537	257	6	ordinary	ordinary	ADJ
cana-4537	257	7	differential	differential	ADJ
cana-4537	257	8	equation	equation	NOUN
cana-4537	257	9	based	base	VERB
cana-4537	257	10	on	on	ADP
cana-4537	257	11	lagrange	lagrange	PROPN
cana-4537	257	12	multiplier	multipli	ADJ
cana-4537	257	13	method	method	NOUN
cana-4537	257	14	.	.	PUNCT
cana-4537	258	1	journal	journal	NOUN
cana-4537	258	2	of	of	ADP
cana-4537	258	3	soft	soft	ADJ
cana-4537	258	4	computing	computing	NOUN
cana-4537	258	5	and	and	CCONJ
cana-4537	258	6	applications	application	NOUN
cana-4537	258	7	,	,	PUNCT
cana-4537	258	8	2013(32	2013(32	NUM
cana-4537	258	9	)	)	PUNCT
cana-4537	258	10	,	,	PUNCT
cana-4537	258	11	1	1	NUM
cana-4537	258	12	-	-	SYM
cana-4537	258	13	17	17	NUM
cana-4537	258	14	.	.	PUNCT
cana-4537	259	1	[	[	X
cana-4537	259	2	17	17	NUM
cana-4537	259	3	]	]	X
cana-4537	259	4	mondal	mondal	PROPN
cana-4537	259	5	,	,	PUNCT
cana-4537	259	6	s.	s.	PROPN
cana-4537	259	7	p.	p.	PROPN
cana-4537	259	8	,	,	PUNCT
cana-4537	259	9	&	&	CCONJ
cana-4537	259	10	mandal	mandal	PROPN
cana-4537	259	11	,	,	PUNCT
cana-4537	259	12	m.	m.	NOUN
cana-4537	259	13	(	(	PUNCT
cana-4537	259	14	2017	2017	NUM
cana-4537	259	15	)	)	PUNCT
cana-4537	259	16	.	.	PUNCT
cana-4537	260	1	pentagonal	pentagonal	ADJ
cana-4537	260	2	fuzzy	fuzzy	ADJ
cana-4537	260	3	number	number	NOUN
cana-4537	260	4	,	,	PUNCT
cana-4537	260	5	its	its	PRON
cana-4537	260	6	properties	property	NOUN
cana-4537	260	7	and	and	CCONJ
cana-4537	260	8	application	application	NOUN
cana-4537	260	9	in	in	ADP
cana-4537	260	10	fuzzy	fuzzy	ADJ
cana-4537	260	11	equation	equation	NOUN
cana-4537	260	12	.	.	PUNCT
cana-4537	261	1	future	future	ADJ
cana-4537	261	2	computing	computing	NOUN
cana-4537	261	3	and	and	CCONJ
cana-4537	261	4	informatics	informatic	NOUN
cana-4537	261	5	journal	journal	NOUN
cana-4537	261	6	,	,	PUNCT
cana-4537	261	7	2(2	2(2	NUM
cana-4537	261	8	)	)	PUNCT
cana-4537	261	9	,	,	PUNCT
cana-4537	261	10	110	110	NUM
cana-4537	261	11	-	-	SYM
cana-4537	261	12	117	117	NUM
cana-4537	261	13	.	.	PUNCT
cana-4537	262	1	[	[	X
cana-4537	262	2	18	18	NUM
cana-4537	262	3	]	]	X
cana-4537	262	4	mondal	mondal	PROPN
cana-4537	262	5	,	,	PUNCT
cana-4537	262	6	s.	s.	PROPN
cana-4537	262	7	p.	p.	PROPN
cana-4537	262	8	,	,	PUNCT
cana-4537	262	9	&	&	CCONJ
cana-4537	262	10	roy	roy	PROPN
cana-4537	262	11	,	,	PUNCT
cana-4537	262	12	t.	t.	PROPN
cana-4537	262	13	k.	k.	PROPN
cana-4537	262	14	(	(	PUNCT
cana-4537	262	15	2014	2014	NUM
cana-4537	262	16	)	)	PUNCT
cana-4537	262	17	.	.	PUNCT
cana-4537	263	1	first	first	ADJ
cana-4537	263	2	order	order	NOUN
cana-4537	263	3	homogeneous	homogeneous	ADJ
cana-4537	263	4	ordinary	ordinary	ADJ
cana-4537	263	5	differential	differential	ADJ
cana-4537	263	6	equation	equation	NOUN
cana-4537	263	7	with	with	ADP
cana-4537	263	8	initial	initial	ADJ
cana-4537	263	9	value	value	NOUN
cana-4537	263	10	as	as	ADP
cana-4537	263	11	triangular	triangular	NOUN
cana-4537	263	12	intuitionistic	intuitionistic	ADJ
cana-4537	263	13	fuzzy	fuzzy	ADJ
cana-4537	263	14	number	number	NOUN
cana-4537	263	15	.	.	PUNCT
cana-4537	264	1	journal	journal	NOUN
cana-4537	264	2	of	of	ADP
cana-4537	264	3	uncertainty	uncertainty	NOUN
cana-4537	264	4	in	in	ADP
cana-4537	264	5	mathematics	mathematics	NOUN
cana-4537	264	6	science	science	NOUN
cana-4537	264	7	,	,	PUNCT
cana-4537	264	8	2014	2014	NUM
cana-4537	264	9	,	,	PUNCT
cana-4537	264	10	1	1	NUM
cana-4537	264	11	-	-	SYM
cana-4537	264	12	17	17	NUM
cana-4537	264	13	.	.	PUNCT
cana-4537	265	1	[	[	X
cana-4537	265	2	19	19	NUM
cana-4537	265	3	]	]	X
cana-4537	265	4	mondal	mondal	PROPN
cana-4537	265	5	,	,	PUNCT
cana-4537	265	6	s.	s.	PROPN
cana-4537	265	7	p.	p.	PROPN
cana-4537	265	8	,	,	PUNCT
cana-4537	265	9	&	&	CCONJ
cana-4537	265	10	roy	roy	PROPN
cana-4537	265	11	,	,	PUNCT
cana-4537	265	12	t.	t.	PROPN
cana-4537	265	13	k.	k.	PROPN
cana-4537	265	14	(	(	PUNCT
cana-4537	265	15	2013	2013	NUM
cana-4537	265	16	)	)	PUNCT
cana-4537	265	17	.	.	PUNCT
cana-4537	266	1	first	first	ADJ
cana-4537	266	2	order	order	NOUN
cana-4537	266	3	linear	linear	PROPN
cana-4537	266	4	non	non	ADJ
cana-4537	266	5	-	-	ADJ
cana-4537	266	6	homogeneous	homogeneous	ADJ
cana-4537	266	7	ordinary	ordinary	ADJ
cana-4537	266	8	differential	differential	ADJ
cana-4537	266	9	equation	equation	NOUN
cana-4537	266	10	in	in	ADP
cana-4537	266	11	fuzzy	fuzzy	ADJ
cana-4537	266	12	environment	environment	NOUN
cana-4537	266	13	based	base	VERB
cana-4537	266	14	on	on	ADP
cana-4537	266	15	laplace	laplace	NOUN
cana-4537	266	16	transforms	transform	VERB
cana-4537	266	17	.	.	PUNCT
cana-4537	267	1	j.	j.	PROPN
cana-4537	267	2	math	math	PROPN
cana-4537	267	3	.	.	PUNCT
cana-4537	268	1	comput	comput	NOUN
cana-4537	268	2	.	.	PUNCT
cana-4537	269	1	sci	sci	PROPN
cana-4537	269	2	.	.	PROPN
cana-4537	269	3	,	,	PUNCT
cana-4537	269	4	3(6	3(6	PROPN
cana-4537	269	5	)	)	PUNCT
cana-4537	269	6	,	,	PUNCT
cana-4537	269	7	15331564	15331564	NUM
cana-4537	269	8	.	.	PUNCT
cana-4537	270	1	communications	communication	NOUN
cana-4537	270	2	on	on	ADP
cana-4537	270	3	applied	apply	VERB
cana-4537	270	4	nonlinear	nonlinear	ADJ
cana-4537	270	5	analysis	analysis	NOUN
cana-4537	270	6	issn	issn	NOUN
cana-4537	270	7	:	:	PUNCT
cana-4537	270	8	1074	1074	NUM
cana-4537	270	9	-	-	PUNCT
cana-4537	270	10	133x	133x	NUM
cana-4537	270	11	vol	vol	NOUN
cana-4537	270	12	32	32	NUM
cana-4537	270	13	no	no	NOUN
cana-4537	270	14	.	.	PUNCT
cana-4537	271	1	9s	9s	NUM
cana-4537	271	2	(	(	PUNCT
cana-4537	271	3	2025	2025	NUM
cana-4537	271	4	)	)	PUNCT
cana-4537	271	5	2470	2470	NUM
cana-4537	271	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4537	272	1	[	[	X
cana-4537	272	2	20	20	NUM
cana-4537	272	3	]	]	PUNCT
cana-4537	272	4	shapique	shapique	NOUN
cana-4537	272	5	,	,	PUNCT
cana-4537	272	6	m.	m.	NOUN
cana-4537	272	7	(	(	PUNCT
cana-4537	272	8	2017	2017	NUM
cana-4537	272	9	)	)	PUNCT
cana-4537	272	10	.	.	PUNCT
cana-4537	273	1	solutions	solution	NOUN
cana-4537	273	2	to	to	ADP
cana-4537	273	3	fuzzy	fuzzy	ADJ
cana-4537	273	4	differential	differential	ADJ
cana-4537	273	5	equations	equation	NOUN
cana-4537	273	6	using	use	VERB
cana-4537	273	7	pentagonal	pentagonal	ADJ
cana-4537	273	8	intuitionistic	intuitionistic	ADJ
cana-4537	273	9	fuzzy	fuzzy	ADJ
cana-4537	273	10	numbers	number	NOUN
cana-4537	273	11	.	.	PUNCT
cana-4537	274	1	mayfeb	mayfeb	PROPN
cana-4537	274	2	journal	journal	NOUN
cana-4537	274	3	of	of	ADP
cana-4537	274	4	mathematics	mathematic	NOUN
cana-4537	274	5	,	,	PUNCT
cana-4537	274	6	2	2	X
cana-4537	274	7	.	.	PUNCT
cana-4537	275	1	[	[	X
cana-4537	275	2	21	21	NUM
cana-4537	275	3	]	]	X
cana-4537	275	4	baidosov	baidosov	PROPN
cana-4537	275	5	,	,	PUNCT
cana-4537	275	6	v.	v.	ADP
cana-4537	275	7	a.	a.	NOUN
cana-4537	275	8	(	(	PUNCT
cana-4537	275	9	1990	1990	NUM
cana-4537	275	10	)	)	PUNCT
cana-4537	275	11	.	.	PUNCT
cana-4537	276	1	fuzzy	fuzzy	ADJ
cana-4537	276	2	differential	differential	ADJ
cana-4537	276	3	inclusions	inclusion	NOUN
cana-4537	276	4	.	.	PUNCT
cana-4537	277	1	journal	journal	NOUN
cana-4537	277	2	of	of	ADP
cana-4537	277	3	applied	apply	VERB
cana-4537	277	4	mathematics	mathematic	NOUN
cana-4537	277	5	and	and	CCONJ
cana-4537	277	6	mechanics	mechanic	NOUN
cana-4537	277	7	,	,	PUNCT
cana-4537	277	8	54(1	54(1	NUM
cana-4537	277	9	)	)	PUNCT
cana-4537	277	10	,	,	PUNCT
cana-4537	277	11	8	8	NUM
cana-4537	277	12	-	-	SYM
cana-4537	277	13	13	13	NUM
cana-4537	277	14	.	.	PUNCT
cana-4537	278	1	[	[	X
cana-4537	278	2	22	22	NUM
cana-4537	278	3	]	]	SYM
cana-4537	278	4	hüllermeier	hüllermeier	NOUN
cana-4537	278	5	,	,	PUNCT
cana-4537	278	6	e.	e.	PROPN
cana-4537	278	7	(	(	PUNCT
cana-4537	278	8	1997	1997	NUM
cana-4537	278	9	)	)	PUNCT
cana-4537	278	10	.	.	PUNCT
cana-4537	279	1	an	an	DET
cana-4537	279	2	approach	approach	NOUN
cana-4537	279	3	to	to	ADP
cana-4537	279	4	modelling	modelling	NOUN
cana-4537	279	5	and	and	CCONJ
cana-4537	279	6	simulation	simulation	NOUN
cana-4537	279	7	of	of	ADP
cana-4537	279	8	uncertain	uncertain	ADJ
cana-4537	279	9	dynamical	dynamical	ADJ
cana-4537	279	10	systems	system	NOUN
cana-4537	279	11	.	.	PUNCT
cana-4537	280	1	international	international	ADJ
cana-4537	280	2	journal	journal	NOUN
cana-4537	280	3	of	of	ADP
cana-4537	280	4	uncertainty	uncertainty	NOUN
cana-4537	280	5	,	,	PUNCT
cana-4537	280	6	fuzziness	fuzziness	NOUN
cana-4537	280	7	and	and	CCONJ
cana-4537	280	8	knowledge	knowledge	NOUN
cana-4537	280	9	-	-	PUNCT
cana-4537	280	10	based	base	VERB
cana-4537	280	11	systems	system	NOUN
cana-4537	280	12	,	,	PUNCT
cana-4537	280	13	5(02	5(02	NUM
cana-4537	280	14	)	)	PUNCT
cana-4537	280	15	,	,	PUNCT
cana-4537	280	16	117	117	NUM
cana-4537	280	17	-	-	SYM
cana-4537	280	18	137	137	NUM
cana-4537	280	19	.	.	PUNCT
cana-4537	281	1	[	[	X
cana-4537	281	2	23	23	NUM
cana-4537	281	3	]	]	PUNCT
cana-4537	281	4	oberguggenberger	oberguggenberger	NOUN
cana-4537	281	5	,	,	PUNCT
cana-4537	281	6	m.	m.	NOUN
cana-4537	281	7	,	,	PUNCT
cana-4537	281	8	&	&	CCONJ
cana-4537	281	9	pittschmann	pittschmann	PROPN
cana-4537	281	10	,	,	PUNCT
cana-4537	281	11	s.	s.	PROPN
cana-4537	281	12	(	(	PUNCT
cana-4537	281	13	1999	1999	NUM
cana-4537	281	14	)	)	PUNCT
cana-4537	281	15	.	.	PUNCT
cana-4537	282	1	differential	differential	ADJ
cana-4537	282	2	equations	equation	NOUN
cana-4537	282	3	with	with	ADP
cana-4537	282	4	fuzzy	fuzzy	ADJ
cana-4537	282	5	parameters	parameter	NOUN
cana-4537	282	6	.	.	PUNCT
cana-4537	283	1	mathematical	mathematical	ADJ
cana-4537	283	2	and	and	CCONJ
cana-4537	283	3	computer	computer	NOUN
cana-4537	283	4	modelling	modelling	NOUN
cana-4537	283	5	of	of	ADP
cana-4537	283	6	dynamical	dynamical	ADJ
cana-4537	283	7	systems	system	NOUN
cana-4537	283	8	,	,	PUNCT
cana-4537	283	9	5(3	5(3	NUM
cana-4537	283	10	)	)	PUNCT
cana-4537	283	11	,	,	PUNCT
cana-4537	283	12	181	181	NUM
cana-4537	283	13	-	-	SYM
cana-4537	283	14	202	202	NUM
cana-4537	283	15	.	.	PUNCT
cana-4537	284	1	[	[	X
cana-4537	284	2	24	24	NUM
cana-4537	284	3	]	]	SYM
cana-4537	284	4	chalco	chalco	PROPN
cana-4537	284	5	-	-	PUNCT
cana-4537	284	6	cano	cano	PROPN
cana-4537	284	7	,	,	PUNCT
cana-4537	284	8	y.	y.	NOUN
cana-4537	284	9	,	,	PUNCT
cana-4537	284	10	román	román	NOUN
cana-4537	284	11	-	-	PUNCT
cana-4537	284	12	flores	flore	NOUN
cana-4537	284	13	,	,	PUNCT
cana-4537	284	14	h.	h.	PROPN
cana-4537	284	15	,	,	PUNCT
cana-4537	284	16	&	&	CCONJ
cana-4537	284	17	jiménez	jiménez	PROPN
cana-4537	284	18	-	-	PUNCT
cana-4537	284	19	gamero	gamero	NOUN
cana-4537	284	20	,	,	PUNCT
cana-4537	284	21	m.	m.	NOUN
cana-4537	284	22	d.	d.	PROPN
cana-4537	284	23	(	(	PUNCT
cana-4537	284	24	2009	2009	NUM
cana-4537	284	25	,	,	PUNCT
cana-4537	284	26	july	july	PROPN
cana-4537	284	27	)	)	PUNCT
cana-4537	284	28	.	.	PUNCT
cana-4537	285	1	fuzzy	fuzzy	ADJ
cana-4537	285	2	differential	differential	ADJ
cana-4537	285	3	equation	equation	NOUN
cana-4537	285	4	with	with	ADP
cana-4537	285	5	π	π	NOUN
cana-4537	285	6	-	-	NOUN
cana-4537	285	7	derivative	derivative	ADJ
cana-4537	285	8	.	.	PUNCT
cana-4537	286	1	in	in	ADP
cana-4537	286	2	ifsa	ifsa	PROPN
cana-4537	286	3	/	/	SYM
cana-4537	286	4	eusflat	eusflat	ADJ
cana-4537	286	5	conf	conf	NOUN
cana-4537	286	6	.	.	PUNCT
cana-4537	287	1	(	(	PUNCT
cana-4537	287	2	pp	pp	ADJ
cana-4537	287	3	.	.	PUNCT
cana-4537	288	1	703	703	NUM
cana-4537	288	2	-	-	NUM
cana-4537	288	3	706	706	NUM
cana-4537	288	4	)	)	PUNCT
cana-4537	288	5	.	.	PUNCT
cana-4537	289	1	[	[	X
cana-4537	289	2	25	25	NUM
cana-4537	289	3	]	]	PUNCT
cana-4537	289	4	plotnikov	plotnikov	NOUN
cana-4537	289	5	,	,	PUNCT
cana-4537	289	6	a.	a.	PROPN
cana-4537	289	7	v.	v.	PROPN
cana-4537	289	8	,	,	PUNCT
cana-4537	289	9	&	&	CCONJ
cana-4537	289	10	skripnik	skripnik	PROPN
cana-4537	289	11	,	,	PUNCT
cana-4537	289	12	n.	n.	PROPN
cana-4537	289	13	v.	v.	PROPN
cana-4537	289	14	(	(	PUNCT
cana-4537	289	15	2012	2012	NUM
cana-4537	289	16	)	)	PUNCT
cana-4537	289	17	.	.	PUNCT
cana-4537	290	1	fuzzy	fuzzy	ADJ
cana-4537	290	2	differential	differential	ADJ
cana-4537	290	3	equations	equation	NOUN
cana-4537	290	4	with	with	ADP
cana-4537	290	5	generalized	generalized	ADJ
cana-4537	290	6	derivative	derivative	NOUN
cana-4537	290	7	.	.	PUNCT
cana-4537	291	1	journal	journal	NOUN
cana-4537	291	2	of	of	ADP
cana-4537	291	3	fuzzy	fuzzy	ADJ
cana-4537	291	4	set	set	VERB
cana-4537	291	5	valued	value	VERB
cana-4537	291	6	analysis	analysis	NOUN
cana-4537	291	7	,	,	PUNCT
cana-4537	291	8	2012	2012	NUM
cana-4537	291	9	,	,	PUNCT
cana-4537	291	10	1	1	NUM
cana-4537	291	11	-	-	SYM
cana-4537	291	12	12	12	NUM
cana-4537	291	13	.	.	PUNCT
cana-4537	292	1	[	[	X
cana-4537	292	2	26	26	NUM
cana-4537	292	3	]	]	X
cana-4537	292	4	alamin	alamin	PROPN
cana-4537	292	5	,	,	PUNCT
cana-4537	292	6	a.	a.	NOUN
cana-4537	292	7	,	,	PUNCT
cana-4537	292	8	mondal	mondal	PROPN
cana-4537	292	9	,	,	PUNCT
cana-4537	292	10	s.	s.	PROPN
cana-4537	292	11	p.	p.	PROPN
cana-4537	292	12	,	,	PUNCT
cana-4537	292	13	alam	alam	PROPN
cana-4537	292	14	,	,	PUNCT
cana-4537	292	15	s.	s.	PROPN
cana-4537	292	16	,	,	PUNCT
cana-4537	292	17	&	&	CCONJ
cana-4537	292	18	goswami	goswami	PROPN
cana-4537	292	19	,	,	PUNCT
cana-4537	292	20	a.	a.	NOUN
cana-4537	292	21	(	(	PUNCT
cana-4537	292	22	2020	2020	NUM
cana-4537	292	23	)	)	PUNCT
cana-4537	292	24	.	.	PUNCT
cana-4537	293	1	solution	solution	NOUN
cana-4537	293	2	and	and	CCONJ
cana-4537	293	3	stability	stability	NOUN
cana-4537	293	4	analysis	analysis	NOUN
cana-4537	293	5	of	of	ADP
cana-4537	293	6	non	non	ADJ
cana-4537	293	7	-	-	ADJ
cana-4537	293	8	homogeneous	homogeneous	ADJ
cana-4537	293	9	difference	difference	NOUN
cana-4537	293	10	equation	equation	NOUN
cana-4537	293	11	followed	follow	VERB
cana-4537	293	12	by	by	ADP
cana-4537	293	13	real	real	ADJ
cana-4537	293	14	life	life	NOUN
cana-4537	293	15	application	application	NOUN
cana-4537	293	16	in	in	ADP
cana-4537	293	17	fuzzy	fuzzy	ADJ
cana-4537	293	18	environment	environment	NOUN
cana-4537	293	19	.	.	PUNCT
cana-4537	294	1	sādhanā	sādhanā	ADJ
cana-4537	294	2	,	,	PUNCT
cana-4537	294	3	45	45	NUM
cana-4537	294	4	,	,	PUNCT
cana-4537	294	5	1	1	NUM
cana-4537	294	6	-	-	SYM
cana-4537	294	7	20	20	NUM
cana-4537	294	8	.	.	PUNCT
cana-4537	295	1	[	[	X
cana-4537	295	2	27	27	NUM
cana-4537	295	3	]	]	X
cana-4537	295	4	mondal	mondal	PROPN
cana-4537	295	5	,	,	PUNCT
cana-4537	295	6	s.	s.	PROPN
cana-4537	295	7	p.	p.	PROPN
cana-4537	295	8	,	,	PUNCT
cana-4537	295	9	&	&	CCONJ
cana-4537	295	10	roy	roy	PROPN
cana-4537	295	11	,	,	PUNCT
cana-4537	295	12	t.	t.	PROPN
cana-4537	295	13	k.	k.	PROPN
cana-4537	295	14	(	(	PUNCT
cana-4537	295	15	2014	2014	NUM
cana-4537	295	16	)	)	PUNCT
cana-4537	295	17	.	.	PUNCT
cana-4537	296	1	solution	solution	NOUN
cana-4537	296	2	of	of	ADP
cana-4537	296	3	first	first	ADJ
cana-4537	296	4	order	order	NOUN
cana-4537	296	5	linear	linear	VERB
cana-4537	296	6	non	non	ADJ
cana-4537	296	7	homogeneous	homogeneous	ADJ
cana-4537	296	8	ordinary	ordinary	ADJ
cana-4537	296	9	differential	differential	ADJ
cana-4537	296	10	equation	equation	NOUN
cana-4537	296	11	in	in	ADP
cana-4537	296	12	fuzzy	fuzzy	ADJ
cana-4537	296	13	environment	environment	NOUN
cana-4537	296	14	based	base	VERB
cana-4537	296	15	on	on	ADP
cana-4537	296	16	lagrange	lagrange	PROPN
cana-4537	296	17	multiplier	multipli	ADJ
cana-4537	296	18	method	method	NOUN
cana-4537	296	19	.	.	PUNCT
cana-4537	297	1	journal	journal	NOUN
cana-4537	297	2	of	of	ADP
cana-4537	297	3	uncertainty	uncertainty	NOUN
cana-4537	297	4	in	in	ADP
cana-4537	297	5	mathematics	mathematics	NOUN
cana-4537	297	6	science	science	NOUN
cana-4537	297	7	,	,	PUNCT
cana-4537	297	8	2014	2014	NUM
cana-4537	297	9	,	,	PUNCT
cana-4537	297	10	1	1	NUM
cana-4537	297	11	-	-	SYM
cana-4537	297	12	18	18	NUM
cana-4537	297	13	.	.	PUNCT
cana-4537	298	1	[	[	X
cana-4537	298	2	28	28	NUM
cana-4537	298	3	]	]	X
cana-4537	298	4	padmapriya	padmapriya	NOUN
cana-4537	298	5	,	,	PUNCT
cana-4537	298	6	v.	v.	PROPN
cana-4537	298	7	,	,	PUNCT
cana-4537	298	8	&	&	CCONJ
cana-4537	298	9	kaliyappan	kaliyappan	PROPN
cana-4537	298	10	,	,	PUNCT
cana-4537	298	11	m.	m.	NOUN
cana-4537	298	12	(	(	PUNCT
cana-4537	298	13	2023	2023	NUM
cana-4537	298	14	)	)	PUNCT
cana-4537	298	15	.	.	PUNCT
cana-4537	299	1	solutions	solution	NOUN
cana-4537	299	2	of	of	ADP
cana-4537	299	3	non	non	ADJ
cana-4537	299	4	-	-	ADJ
cana-4537	299	5	homogeneous	homogeneous	ADJ
cana-4537	299	6	system	system	NOUN
cana-4537	299	7	of	of	ADP
cana-4537	299	8	fuzzy	fuzzy	ADJ
cana-4537	299	9	fractional	fractional	ADJ
cana-4537	299	10	differential	differential	NOUN
cana-4537	299	11	equations	equation	NOUN
cana-4537	299	12	:	:	PUNCT
cana-4537	299	13	a	a	DET
cana-4537	299	14	novel	novel	ADJ
cana-4537	299	15	approach	approach	NOUN
cana-4537	299	16	.	.	PUNCT
cana-4537	300	1	soft	soft	ADJ
cana-4537	300	2	computing	computing	NOUN
cana-4537	300	3	,	,	PUNCT
cana-4537	300	4	27(20	27(20	NUM
cana-4537	300	5	)	)	PUNCT
cana-4537	300	6	,	,	PUNCT
cana-4537	300	7	14553	14553	NUM
cana-4537	300	8	-	-	SYM
cana-4537	300	9	14569	14569	NUM
cana-4537	300	10	.	.	PUNCT
cana-4537	301	1	[	[	X
cana-4537	301	2	29	29	NUM
cana-4537	301	3	]	]	X
cana-4537	301	4	bawane	bawane	NOUN
cana-4537	301	5	,	,	PUNCT
cana-4537	301	6	d.	d.	PROPN
cana-4537	301	7	p.	p.	PROPN
cana-4537	301	8	,	,	PUNCT
cana-4537	301	9	&	&	CCONJ
cana-4537	301	10	ladke	ladke	PROPN
cana-4537	301	11	,	,	PUNCT
cana-4537	301	12	l.	l.	PROPN
cana-4537	301	13	s.	s.	PROPN
cana-4537	301	14	(	(	PUNCT
cana-4537	301	15	2024	2024	NUM
cana-4537	301	16	,	,	PUNCT
cana-4537	301	17	december	december	PROPN
cana-4537	301	18	)	)	PUNCT
cana-4537	301	19	.	.	PUNCT
cana-4537	302	1	a	a	DET
cana-4537	302	2	solution	solution	NOUN
cana-4537	302	3	of	of	ADP
cana-4537	302	4	first	first	ADJ
cana-4537	302	5	order	order	NOUN
cana-4537	302	6	linear	linear	VERB
cana-4537	302	7	fuzzy	fuzzy	ADJ
cana-4537	302	8	differential	differential	ADJ
cana-4537	302	9	equation	equation	NOUN
cana-4537	302	10	using	use	VERB
cana-4537	302	11	fuzzy	fuzzy	ADJ
cana-4537	302	12	number	number	NOUN
cana-4537	302	13	.	.	PUNCT
cana-4537	303	1	in	in	ADP
cana-4537	303	2	aip	aip	PROPN
cana-4537	303	3	conference	conference	NOUN
cana-4537	303	4	proceedings	proceeding	NOUN
cana-4537	303	5	(	(	PUNCT
cana-4537	303	6	vol	vol	NOUN
cana-4537	303	7	.	.	PUNCT
cana-4537	303	8	3188	3188	NUM
cana-4537	303	9	,	,	PUNCT
cana-4537	303	10	no	no	INTJ
cana-4537	303	11	.	.	NOUN
cana-4537	303	12	1	1	NUM
cana-4537	303	13	)	)	PUNCT
cana-4537	303	14	.	.	PUNCT
cana-4537	304	1	aip	aip	PROPN
cana-4537	304	2	publishing	publishing	PROPN
cana-4537	304	3	.	.	PUNCT