id	sid	tid	token	lemma	pos
ejpam-6051	1	1	european	european	PROPN
ejpam-6051	1	2	journal	journal	PROPN
ejpam-6051	1	3	of	of	ADP
ejpam-6051	1	4	pure	pure	ADJ
ejpam-6051	1	5	and	and	CCONJ
ejpam-6051	1	6	applied	applied	ADJ
ejpam-6051	1	7	mathematics	mathematic	NOUN
ejpam-6051	1	8	2025	2025	NUM
ejpam-6051	1	9	,	,	PUNCT
ejpam-6051	1	10	vol	vol	NOUN
ejpam-6051	1	11	.	.	PROPN
ejpam-6051	1	12	18	18	NUM
ejpam-6051	1	13	,	,	PUNCT
ejpam-6051	1	14	issue	issue	NOUN
ejpam-6051	1	15	2	2	NUM
ejpam-6051	1	16	,	,	PUNCT
ejpam-6051	1	17	article	article	NOUN
ejpam-6051	1	18	number	number	NOUN
ejpam-6051	1	19	6051	6051	NUM
ejpam-6051	1	20	issn	issn	PROPN
ejpam-6051	1	21	1307	1307	NUM
ejpam-6051	1	22	-	-	SYM
ejpam-6051	1	23	5543	5543	NUM
ejpam-6051	1	24	–	–	PUNCT
ejpam-6051	1	25	ejpam.com	ejpam.com	X
ejpam-6051	1	26	published	publish	VERB
ejpam-6051	1	27	by	by	ADP
ejpam-6051	1	28	new	new	PROPN
ejpam-6051	1	29	york	york	PROPN
ejpam-6051	1	30	business	business	PROPN
ejpam-6051	1	31	global	global	PROPN
ejpam-6051	1	32	an	an	DET
ejpam-6051	1	33	innovative	innovative	ADJ
ejpam-6051	1	34	analytical	analytical	ADJ
ejpam-6051	1	35	result	result	NOUN
ejpam-6051	1	36	of	of	ADP
ejpam-6051	1	37	two	two	NUM
ejpam-6051	1	38	-	-	PUNCT
ejpam-6051	1	39	dimensional	dimensional	ADJ
ejpam-6051	1	40	heat	heat	NOUN
ejpam-6051	1	41	equation	equation	NOUN
ejpam-6051	1	42	using	use	VERB
ejpam-6051	1	43	joint	joint	ADJ
ejpam-6051	1	44	mechanism	mechanism	NOUN
ejpam-6051	1	45	of	of	ADP
ejpam-6051	1	46	natural	natural	ADJ
ejpam-6051	1	47	transform	transform	NOUN
ejpam-6051	1	48	and	and	CCONJ
ejpam-6051	1	49	adomian	adomian	NOUN
ejpam-6051	1	50	decomposition	decomposition	NOUN
ejpam-6051	1	51	method	method	NOUN
ejpam-6051	1	52	muhammad	muhammad	PROPN
ejpam-6051	1	53	usman1	usman1	PROPN
ejpam-6051	1	54	,	,	PUNCT
ejpam-6051	1	55	hidayat	hidayat	PROPN
ejpam-6051	1	56	ullah	ullah	PROPN
ejpam-6051	1	57	khan1,∗	khan1,∗	PROPN
ejpam-6051	1	58	,	,	PUNCT
ejpam-6051	1	59	muhammad	muhammad	PROPN
ejpam-6051	1	60	sarwar1,2	sarwar1,2	PROPN
ejpam-6051	1	61	,	,	PUNCT
ejpam-6051	1	62	nahid	nahid	PROPN
ejpam-6051	1	63	fatima2	fatima2	PROPN
ejpam-6051	1	64	,	,	PUNCT
ejpam-6051	1	65	kamaleldin	kamaleldin	VERB
ejpam-6051	1	66	abodayeh2	abodayeh2	PROPN
ejpam-6051	1	67	1	1	NUM
ejpam-6051	1	68	department	department	NOUN
ejpam-6051	1	69	of	of	ADP
ejpam-6051	1	70	mathematics	mathematic	NOUN
ejpam-6051	1	71	,	,	PUNCT
ejpam-6051	1	72	university	university	NOUN
ejpam-6051	1	73	of	of	ADP
ejpam-6051	1	74	malakand	malakand	PROPN
ejpam-6051	1	75	chakdara	chakdara	NOUN
ejpam-6051	1	76	dir(l	dir(l	PROPN
ejpam-6051	1	77	)	)	PUNCT
ejpam-6051	1	78	18000	18000	NUM
ejpam-6051	1	79	,	,	PUNCT
ejpam-6051	1	80	khyber	khyber	PROPN
ejpam-6051	1	81	pakhtunkhwa	pakhtunkhwa	PROPN
ejpam-6051	1	82	,	,	PUNCT
ejpam-6051	1	83	pakistan	pakistan	PROPN
ejpam-6051	1	84	2	2	NUM
ejpam-6051	1	85	department	department	NOUN
ejpam-6051	1	86	of	of	ADP
ejpam-6051	1	87	mathematics	mathematic	NOUN
ejpam-6051	1	88	and	and	CCONJ
ejpam-6051	1	89	sciences	science	NOUN
ejpam-6051	1	90	,	,	PUNCT
ejpam-6051	1	91	prince	prince	PROPN
ejpam-6051	1	92	sultan	sultan	PROPN
ejpam-6051	1	93	university	university	PROPN
ejpam-6051	1	94	,	,	PUNCT
ejpam-6051	1	95	riyadh	riyadh	PROPN
ejpam-6051	1	96	11586	11586	NUM
ejpam-6051	1	97	,	,	PUNCT
ejpam-6051	1	98	saudi	saudi	PROPN
ejpam-6051	1	99	arabia	arabia	PROPN
ejpam-6051	1	100	abstract	abstract	NOUN
ejpam-6051	1	101	.	.	PUNCT
ejpam-6051	2	1	this	this	DET
ejpam-6051	2	2	research	research	NOUN
ejpam-6051	2	3	article	article	NOUN
ejpam-6051	2	4	has	have	AUX
ejpam-6051	2	5	put	put	VERB
ejpam-6051	2	6	forward	forward	ADV
ejpam-6051	2	7	an	an	DET
ejpam-6051	2	8	innovative	innovative	ADJ
ejpam-6051	2	9	analytical	analytical	ADJ
ejpam-6051	2	10	result	result	NOUN
ejpam-6051	2	11	of	of	ADP
ejpam-6051	2	12	the	the	DET
ejpam-6051	2	13	2d	2d	NUM
ejpam-6051	2	14	heat	heat	NOUN
ejpam-6051	2	15	equation	equation	NOUN
ejpam-6051	2	16	having	have	VERB
ejpam-6051	2	17	a	a	DET
ejpam-6051	2	18	source	source	NOUN
ejpam-6051	2	19	term	term	NOUN
ejpam-6051	2	20	.	.	PUNCT
ejpam-6051	3	1	the	the	DET
ejpam-6051	3	2	aforesaid	aforesaid	ADJ
ejpam-6051	3	3	non	non	ADJ
ejpam-6051	3	4	-	-	ADJ
ejpam-6051	3	5	homogenous	homogenous	ADJ
ejpam-6051	3	6	pde	pde	NOUN
ejpam-6051	3	7	is	be	AUX
ejpam-6051	3	8	solved	solve	VERB
ejpam-6051	3	9	through	through	ADP
ejpam-6051	3	10	a	a	DET
ejpam-6051	3	11	new	new	ADJ
ejpam-6051	3	12	hybrid	hybrid	NOUN
ejpam-6051	3	13	mechanism	mechanism	NOUN
ejpam-6051	3	14	.	.	PUNCT
ejpam-6051	4	1	whereas	whereas	SCONJ
ejpam-6051	4	2	the	the	DET
ejpam-6051	4	3	technique	technique	NOUN
ejpam-6051	4	4	supports	support	VERB
ejpam-6051	4	5	the	the	DET
ejpam-6051	4	6	solution	solution	NOUN
ejpam-6051	4	7	process	process	NOUN
ejpam-6051	4	8	,	,	PUNCT
ejpam-6051	4	9	commencing	commence	VERB
ejpam-6051	4	10	with	with	ADP
ejpam-6051	4	11	the	the	DET
ejpam-6051	4	12	parametric	parametric	ADJ
ejpam-6051	4	13	form	form	NOUN
ejpam-6051	4	14	of	of	ADP
ejpam-6051	4	15	the	the	DET
ejpam-6051	4	16	2d	2d	NUM
ejpam-6051	4	17	heat	heat	NOUN
ejpam-6051	4	18	equation	equation	NOUN
ejpam-6051	4	19	.	.	PUNCT
ejpam-6051	5	1	furthermore	furthermore	ADV
ejpam-6051	5	2	,	,	PUNCT
ejpam-6051	5	3	this	this	DET
ejpam-6051	5	4	hybrid	hybrid	ADJ
ejpam-6051	5	5	mechanism	mechanism	NOUN
ejpam-6051	5	6	which	which	PRON
ejpam-6051	5	7	consists	consist	VERB
ejpam-6051	5	8	of	of	ADP
ejpam-6051	5	9	natural	natural	ADJ
ejpam-6051	5	10	transform	transform	NOUN
ejpam-6051	5	11	(	(	PUNCT
ejpam-6051	5	12	nt	not	PART
ejpam-6051	5	13	)	)	PUNCT
ejpam-6051	5	14	and	and	CCONJ
ejpam-6051	5	15	a	a	DET
ejpam-6051	5	16	series	series	NOUN
ejpam-6051	5	17	solution	solution	NOUN
ejpam-6051	5	18	method	method	NOUN
ejpam-6051	5	19	of	of	ADP
ejpam-6051	5	20	adomian	adomian	ADJ
ejpam-6051	5	21	decomposition	decomposition	NOUN
ejpam-6051	5	22	method	method	NOUN
ejpam-6051	5	23	(	(	PUNCT
ejpam-6051	5	24	adm	adm	PROPN
ejpam-6051	5	25	)	)	PUNCT
ejpam-6051	5	26	is	be	AUX
ejpam-6051	5	27	applied	apply	VERB
ejpam-6051	5	28	properly	properly	ADV
ejpam-6051	5	29	.	.	PUNCT
ejpam-6051	6	1	next	next	ADV
ejpam-6051	6	2	,	,	PUNCT
ejpam-6051	6	3	the	the	DET
ejpam-6051	6	4	solution	solution	NOUN
ejpam-6051	6	5	that	that	PRON
ejpam-6051	6	6	is	be	AUX
ejpam-6051	6	7	obtained	obtain	VERB
ejpam-6051	6	8	for	for	ADP
ejpam-6051	6	9	the	the	DET
ejpam-6051	6	10	unknown	unknown	ADJ
ejpam-6051	6	11	function	function	NOUN
ejpam-6051	6	12	is	be	AUX
ejpam-6051	6	13	presented	present	VERB
ejpam-6051	6	14	in	in	ADP
ejpam-6051	6	15	series	series	NOUN
ejpam-6051	6	16	form	form	NOUN
ejpam-6051	6	17	.	.	PUNCT
ejpam-6051	7	1	during	during	ADP
ejpam-6051	7	2	the	the	DET
ejpam-6051	7	3	computational	computational	ADJ
ejpam-6051	7	4	process	process	NOUN
ejpam-6051	7	5	,	,	PUNCT
ejpam-6051	7	6	it	it	PRON
ejpam-6051	7	7	was	be	AUX
ejpam-6051	7	8	observed	observe	VERB
ejpam-6051	7	9	that	that	SCONJ
ejpam-6051	7	10	the	the	DET
ejpam-6051	7	11	proposed	propose	VERB
ejpam-6051	7	12	mechanism	mechanism	NOUN
ejpam-6051	7	13	is	be	AUX
ejpam-6051	7	14	less	less	ADJ
ejpam-6051	7	15	time	time	NOUN
ejpam-6051	7	16	-	-	PUNCT
ejpam-6051	7	17	consuming	consume	VERB
ejpam-6051	7	18	and	and	CCONJ
ejpam-6051	7	19	efficient	efficient	ADJ
ejpam-6051	7	20	with	with	ADP
ejpam-6051	7	21	accurate	accurate	ADJ
ejpam-6051	7	22	results	result	NOUN
ejpam-6051	7	23	.	.	PUNCT
ejpam-6051	8	1	which	which	PRON
ejpam-6051	8	2	shows	show	VERB
ejpam-6051	8	3	that	that	SCONJ
ejpam-6051	8	4	the	the	DET
ejpam-6051	8	5	mechanism	mechanism	NOUN
ejpam-6051	8	6	(	(	PUNCT
ejpam-6051	8	7	proposed	propose	VERB
ejpam-6051	8	8	mechanism	mechanism	NOUN
ejpam-6051	8	9	)	)	PUNCT
ejpam-6051	8	10	makes	make	VERB
ejpam-6051	8	11	a	a	DET
ejpam-6051	8	12	very	very	ADV
ejpam-6051	8	13	useful	useful	ADJ
ejpam-6051	8	14	contribution	contribution	NOUN
ejpam-6051	8	15	to	to	ADP
ejpam-6051	8	16	the	the	DET
ejpam-6051	8	17	analytical	analytical	ADJ
ejpam-6051	8	18	solution	solution	NOUN
ejpam-6051	8	19	of	of	ADP
ejpam-6051	8	20	the	the	DET
ejpam-6051	8	21	2d	2d	NUM
ejpam-6051	8	22	heat	heat	NOUN
ejpam-6051	8	23	equation	equation	NOUN
ejpam-6051	8	24	.	.	PUNCT
ejpam-6051	9	1	the	the	DET
ejpam-6051	9	2	paper	paper	NOUN
ejpam-6051	9	3	is	be	AUX
ejpam-6051	9	4	properly	properly	ADV
ejpam-6051	9	5	supported	support	VERB
ejpam-6051	9	6	with	with	ADP
ejpam-6051	9	7	appropriate	appropriate	ADJ
ejpam-6051	9	8	examples	example	NOUN
ejpam-6051	9	9	to	to	PART
ejpam-6051	9	10	verify	verify	VERB
ejpam-6051	9	11	the	the	DET
ejpam-6051	9	12	claim	claim	NOUN
ejpam-6051	9	13	.	.	PUNCT
ejpam-6051	10	1	2020	2020	NUM
ejpam-6051	10	2	mathematics	mathematic	NOUN
ejpam-6051	10	3	subject	subject	NOUN
ejpam-6051	10	4	classifications	classification	NOUN
ejpam-6051	10	5	:	:	PUNCT
ejpam-6051	10	6	26a33	26a33	NUM
ejpam-6051	10	7	,	,	PUNCT
ejpam-6051	10	8	35exx	35exx	NUM
ejpam-6051	10	9	,	,	PUNCT
ejpam-6051	10	10	35r13	35r13	NUM
ejpam-6051	10	11	key	key	ADJ
ejpam-6051	10	12	words	word	NOUN
ejpam-6051	10	13	and	and	CCONJ
ejpam-6051	10	14	phrases	phrase	NOUN
ejpam-6051	10	15	:	:	PUNCT
ejpam-6051	10	16	2d	2d	NUM
ejpam-6051	10	17	heat	heat	NOUN
ejpam-6051	10	18	equation	equation	NOUN
ejpam-6051	10	19	;	;	PUNCT
ejpam-6051	10	20	natural	natural	ADJ
ejpam-6051	10	21	transform	transform	NOUN
ejpam-6051	10	22	;	;	PUNCT
ejpam-6051	10	23	adomian	adomian	NOUN
ejpam-6051	10	24	decomposition	decomposition	NOUN
ejpam-6051	10	25	method	method	NOUN
ejpam-6051	10	26	1	1	NUM
ejpam-6051	10	27	.	.	PUNCT
ejpam-6051	11	1	introduction	introduction	NOUN
ejpam-6051	11	2	it	it	PRON
ejpam-6051	11	3	is	be	AUX
ejpam-6051	11	4	obvious	obvious	ADJ
ejpam-6051	11	5	that	that	SCONJ
ejpam-6051	11	6	the	the	DET
ejpam-6051	11	7	subject	subject	NOUN
ejpam-6051	11	8	of	of	ADP
ejpam-6051	11	9	fractional	fractional	ADJ
ejpam-6051	11	10	calculus	calculus	NOUN
ejpam-6051	11	11	is	be	AUX
ejpam-6051	11	12	(	(	PUNCT
ejpam-6051	11	13	as	as	ADV
ejpam-6051	11	14	old	old	ADJ
ejpam-6051	11	15	as	as	ADP
ejpam-6051	11	16	)	)	PUNCT
ejpam-6051	11	17	the	the	DET
ejpam-6051	11	18	differential	differential	ADJ
ejpam-6051	11	19	calculus	calculus	NOUN
ejpam-6051	11	20	and	and	CCONJ
ejpam-6051	11	21	is	be	AUX
ejpam-6051	11	22	the	the	DET
ejpam-6051	11	23	generalization	generalization	NOUN
ejpam-6051	11	24	of	of	ADP
ejpam-6051	11	25	the	the	DET
ejpam-6051	11	26	ordinary	ordinary	ADJ
ejpam-6051	11	27	(	(	PUNCT
ejpam-6051	11	28	differentiation	differentiation	NOUN
ejpam-6051	11	29	and	and	CCONJ
ejpam-6051	11	30	integration	integration	NOUN
ejpam-6051	11	31	)	)	PUNCT
ejpam-6051	11	32	to	to	ADP
ejpam-6051	11	33	arbitrary	arbitrary	ADJ
ejpam-6051	11	34	(	(	PUNCT
ejpam-6051	11	35	non	non	ADJ
ejpam-6051	11	36	-	-	ADJ
ejpam-6051	11	37	integer	integer	ADJ
ejpam-6051	11	38	)	)	PUNCT
ejpam-6051	11	39	order	order	NOUN
ejpam-6051	12	1	[	[	X
ejpam-6051	12	2	1	1	NUM
ejpam-6051	12	3	]	]	PUNCT
ejpam-6051	12	4	.	.	PUNCT
ejpam-6051	13	1	the	the	DET
ejpam-6051	13	2	popularity	popularity	NOUN
ejpam-6051	13	3	of	of	ADP
ejpam-6051	13	4	fractional	fractional	ADJ
ejpam-6051	13	5	calculus	calculus	NOUN
ejpam-6051	13	6	not	not	PART
ejpam-6051	13	7	only	only	ADV
ejpam-6051	13	8	attracts	attract	VERB
ejpam-6051	13	9	the	the	DET
ejpam-6051	13	10	attention	attention	NOUN
ejpam-6051	13	11	of	of	ADP
ejpam-6051	13	12	mathematicians	mathematician	NOUN
ejpam-6051	13	13	but	but	CCONJ
ejpam-6051	13	14	also	also	ADV
ejpam-6051	13	15	attracts	attract	VERB
ejpam-6051	13	16	the	the	DET
ejpam-6051	13	17	attention	attention	NOUN
ejpam-6051	13	18	of	of	ADP
ejpam-6051	13	19	engineers	engineer	NOUN
ejpam-6051	13	20	and	and	CCONJ
ejpam-6051	13	21	physicists	physicist	NOUN
ejpam-6051	13	22	.	.	PUNCT
ejpam-6051	14	1	due	due	ADP
ejpam-6051	14	2	to	to	ADP
ejpam-6051	14	3	which	which	PRON
ejpam-6051	14	4	fractional	fractional	ADJ
ejpam-6051	14	5	calculus	calculus	NOUN
ejpam-6051	14	6	appears	appear	VERB
ejpam-6051	14	7	in	in	ADP
ejpam-6051	14	8	many	many	ADJ
ejpam-6051	14	9	fields	field	NOUN
ejpam-6051	14	10	like	like	ADP
ejpam-6051	14	11	electrochemistry	electrochemistry	NOUN
ejpam-6051	14	12	,	,	PUNCT
ejpam-6051	14	13	viscoelasticity	viscoelasticity	NOUN
ejpam-6051	14	14	,	,	PUNCT
ejpam-6051	14	15	∗corresponding	∗corresponde	VERB
ejpam-6051	14	16	author	author	NOUN
ejpam-6051	14	17	.	.	PUNCT
ejpam-6051	15	1	doi	doi	NOUN
ejpam-6051	15	2	:	:	PUNCT
ejpam-6051	15	3	https://doi.org/10.29020/nybg.ejpam.v18i2.6051	https://doi.org/10.29020/nybg.ejpam.v18i2.6051	ADJ
ejpam-6051	15	4	email	email	NOUN
ejpam-6051	15	5	addresses	address	VERB
ejpam-6051	15	6	:	:	PUNCT
ejpam-6051	15	7	usmanss2010@gmail.com	usmanss2010@gmail.com	X
ejpam-6051	15	8	(	(	PUNCT
ejpam-6051	15	9	m.	m.	PROPN
ejpam-6051	15	10	usman	usman	PROPN
ejpam-6051	15	11	)	)	PUNCT
ejpam-6051	15	12	,	,	PUNCT
ejpam-6051	15	13	hidayatullak@yahoo.com	hidayatullak@yahoo.com	X
ejpam-6051	15	14	(	(	PUNCT
ejpam-6051	15	15	h.khan	h.khan	NOUN
ejpam-6051	15	16	)	)	PUNCT
ejpam-6051	15	17	,	,	PUNCT
ejpam-6051	15	18	sarwarswati@gmail.com	sarwarswati@gmail.com	X
ejpam-6051	15	19	(	(	PUNCT
ejpam-6051	15	20	m.sarwar	m.sarwar	ADJ
ejpam-6051	15	21	)	)	PUNCT
ejpam-6051	15	22	,	,	PUNCT
ejpam-6051	15	23	nfatima@psu.edu.sa	nfatima@psu.edu.sa	PROPN
ejpam-6051	15	24	(	(	PUNCT
ejpam-6051	15	25	n.fatima	n.fatima	NUM
ejpam-6051	15	26	)	)	PUNCT
ejpam-6051	15	27	,	,	PUNCT
ejpam-6051	15	28	kamal@psu.edu.sa	kamal@psu.edu.sa	PROPN
ejpam-6051	15	29	(	(	PUNCT
ejpam-6051	15	30	k.abodayeh	k.abodayeh	PROPN
ejpam-6051	15	31	)	)	PUNCT
ejpam-6051	15	32	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-6051	16	1	1	1	NUM
ejpam-6051	16	2	copyright	copyright	NOUN
ejpam-6051	16	3	:	:	PUNCT
ejpam-6051	16	4	©	©	PROPN
ejpam-6051	16	5	2025	2025	NUM
ejpam-6051	16	6	the	the	DET
ejpam-6051	16	7	author(s	author(s	NOUN
ejpam-6051	16	8	)	)	PUNCT
ejpam-6051	16	9	.	.	PUNCT
ejpam-6051	17	1	(	(	PUNCT
ejpam-6051	17	2	cc	cc	NOUN
ejpam-6051	17	3	by	by	ADP
ejpam-6051	17	4	-	-	PUNCT
ejpam-6051	17	5	nc	nc	PROPN
ejpam-6051	17	6	4.0	4.0	NUM
ejpam-6051	17	7	)	)	PUNCT
ejpam-6051	17	8	m.	m.	NOUN
ejpam-6051	17	9	usman	usman	PROPN
ejpam-6051	17	10	et	et	PROPN
ejpam-6051	17	11	al	al	PROPN
ejpam-6051	17	12	.	.	PUNCT
ejpam-6051	17	13	/	/	SYM
ejpam-6051	17	14	eur	eur	PROPN
ejpam-6051	17	15	.	.	PUNCT
ejpam-6051	18	1	j.	j.	PROPN
ejpam-6051	18	2	pure	pure	PROPN
ejpam-6051	18	3	appl	appl	PROPN
ejpam-6051	18	4	.	.	PROPN
ejpam-6051	18	5	math	math	PROPN
ejpam-6051	18	6	,	,	PUNCT
ejpam-6051	18	7	18	18	NUM
ejpam-6051	18	8	(	(	PUNCT
ejpam-6051	18	9	2	2	NUM
ejpam-6051	18	10	)	)	PUNCT
ejpam-6051	18	11	(	(	PUNCT
ejpam-6051	18	12	2025	2025	NUM
ejpam-6051	18	13	)	)	PUNCT
ejpam-6051	18	14	,	,	PUNCT
ejpam-6051	18	15	6051	6051	NUM
ejpam-6051	18	16	2	2	NUM
ejpam-6051	18	17	of	of	ADP
ejpam-6051	18	18	10	10	NUM
ejpam-6051	18	19	rheology	rheology	NOUN
ejpam-6051	18	20	,	,	PUNCT
ejpam-6051	18	21	electromagnetism	electromagnetism	NOUN
ejpam-6051	18	22	,	,	PUNCT
ejpam-6051	18	23	etc	etc	X
ejpam-6051	18	24	.	.	X
ejpam-6051	18	25	,	,	PUNCT
ejpam-6051	19	1	[	[	X
ejpam-6051	19	2	2	2	NUM
ejpam-6051	19	3	,	,	PUNCT
ejpam-6051	19	4	3	3	NUM
ejpam-6051	19	5	]	]	PUNCT
ejpam-6051	19	6	.	.	PUNCT
ejpam-6051	20	1	moreover	moreover	ADV
ejpam-6051	20	2	,	,	PUNCT
ejpam-6051	20	3	some	some	DET
ejpam-6051	20	4	new	new	ADJ
ejpam-6051	20	5	investigation	investigation	NOUN
ejpam-6051	20	6	/	/	SYM
ejpam-6051	20	7	contribution	contribution	NOUN
ejpam-6051	20	8	to	to	ADP
ejpam-6051	20	9	the	the	DET
ejpam-6051	20	10	theory	theory	NOUN
ejpam-6051	20	11	of	of	ADP
ejpam-6051	20	12	fractional	fractional	ADJ
ejpam-6051	20	13	differential	differential	ADJ
ejpam-6051	20	14	equation	equation	NOUN
ejpam-6051	20	15	(	(	PUNCT
ejpam-6051	20	16	fde	fde	NOUN
ejpam-6051	20	17	)	)	PUNCT
ejpam-6051	20	18	like	like	ADP
ejpam-6051	20	19	the	the	DET
ejpam-6051	20	20	results	result	NOUN
ejpam-6051	20	21	of	of	ADP
ejpam-6051	20	22	existence	existence	NOUN
ejpam-6051	20	23	for	for	ADP
ejpam-6051	20	24	a	a	DET
ejpam-6051	20	25	three	three	NUM
ejpam-6051	20	26	-	-	PUNCT
ejpam-6051	20	27	point	point	NOUN
ejpam-6051	20	28	third	third	ADJ
ejpam-6051	20	29	-	-	PUNCT
ejpam-6051	20	30	order	order	NOUN
ejpam-6051	20	31	nonlocal	nonlocal	ADJ
ejpam-6051	20	32	boundary	boundary	ADJ
ejpam-6051	20	33	value	value	NOUN
ejpam-6051	20	34	problem	problem	NOUN
ejpam-6051	20	35	,	,	PUNCT
ejpam-6051	20	36	structural	structural	ADJ
ejpam-6051	20	37	stability	stability	NOUN
ejpam-6051	20	38	of	of	ADP
ejpam-6051	20	39	solutions	solution	NOUN
ejpam-6051	20	40	,	,	PUNCT
ejpam-6051	20	41	and	and	CCONJ
ejpam-6051	20	42	uniqueness	uniqueness	NOUN
ejpam-6051	20	43	of	of	ADP
ejpam-6051	20	44	nonlinear	nonlinear	ADJ
ejpam-6051	20	45	ordinary	ordinary	ADJ
ejpam-6051	20	46	differential	differential	ADJ
ejpam-6051	20	47	equations	equation	NOUN
ejpam-6051	20	48	[	[	X
ejpam-6051	20	49	4	4	NUM
ejpam-6051	20	50	,	,	PUNCT
ejpam-6051	20	51	5	5	NUM
ejpam-6051	20	52	]	]	PUNCT
ejpam-6051	20	53	.	.	PUNCT
ejpam-6051	21	1	additionally	additionally	ADV
ejpam-6051	21	2	,	,	PUNCT
ejpam-6051	21	3	a	a	DET
ejpam-6051	21	4	number	number	NOUN
ejpam-6051	21	5	of	of	ADP
ejpam-6051	21	6	fields	field	NOUN
ejpam-6051	21	7	of	of	ADP
ejpam-6051	21	8	both	both	CCONJ
ejpam-6051	21	9	pure	pure	ADJ
ejpam-6051	21	10	and	and	CCONJ
ejpam-6051	21	11	applied	apply	VERB
ejpam-6051	21	12	mathematics	mathematic	NOUN
ejpam-6051	21	13	can	can	AUX
ejpam-6051	21	14	be	be	AUX
ejpam-6051	21	15	expanded	expand	VERB
ejpam-6051	21	16	using	use	VERB
ejpam-6051	21	17	fractional	fractional	ADJ
ejpam-6051	21	18	calculus	calculus	NOUN
ejpam-6051	21	19	.	.	PUNCT
ejpam-6051	22	1	in	in	ADP
ejpam-6051	22	2	this	this	DET
ejpam-6051	22	3	regard	regard	NOUN
ejpam-6051	22	4	,	,	PUNCT
ejpam-6051	22	5	our	our	PRON
ejpam-6051	22	6	interest	interest	NOUN
ejpam-6051	22	7	is	be	AUX
ejpam-6051	22	8	to	to	PART
ejpam-6051	22	9	extend	extend	VERB
ejpam-6051	22	10	the	the	DET
ejpam-6051	22	11	mechanism	mechanism	NOUN
ejpam-6051	22	12	to	to	ADP
ejpam-6051	22	13	such	such	ADJ
ejpam-6051	22	14	-	-	PUNCT
ejpam-6051	22	15	like	like	ADJ
ejpam-6051	22	16	problems	problem	NOUN
ejpam-6051	22	17	where	where	SCONJ
ejpam-6051	22	18	uncertainty	uncertainty	NOUN
ejpam-6051	22	19	arises	arise	VERB
ejpam-6051	22	20	,	,	PUNCT
ejpam-6051	22	21	and	and	CCONJ
ejpam-6051	22	22	for	for	ADP
ejpam-6051	22	23	such	such	ADJ
ejpam-6051	22	24	-	-	PUNCT
ejpam-6051	22	25	like	like	ADJ
ejpam-6051	22	26	problems	problem	NOUN
ejpam-6051	22	27	,	,	PUNCT
ejpam-6051	22	28	zadeh	zadeh	PROPN
ejpam-6051	22	29	introduced	introduce	VERB
ejpam-6051	22	30	fuzzy	fuzzy	ADJ
ejpam-6051	22	31	concepts	concept	NOUN
ejpam-6051	22	32	in	in	ADP
ejpam-6051	22	33	1965	1965	NUM
ejpam-6051	23	1	[	[	X
ejpam-6051	23	2	6	6	NUM
ejpam-6051	23	3	]	]	PUNCT
ejpam-6051	23	4	.	.	PUNCT
ejpam-6051	24	1	this	this	DET
ejpam-6051	24	2	approach	approach	NOUN
ejpam-6051	24	3	of	of	ADP
ejpam-6051	24	4	fuzziness	fuzziness	NOUN
ejpam-6051	24	5	has	have	AUX
ejpam-6051	24	6	also	also	ADV
ejpam-6051	24	7	been	be	AUX
ejpam-6051	24	8	used	use	VERB
ejpam-6051	24	9	in	in	ADP
ejpam-6051	24	10	many	many	ADJ
ejpam-6051	24	11	fields	field	NOUN
ejpam-6051	24	12	like	like	ADP
ejpam-6051	24	13	topological	topological	ADJ
ejpam-6051	24	14	fuzziness	fuzziness	NOUN
ejpam-6051	24	15	,	,	PUNCT
ejpam-6051	24	16	fuzzy	fuzzy	ADJ
ejpam-6051	24	17	fixed	fix	VERB
ejpam-6051	24	18	point	point	NOUN
ejpam-6051	24	19	theory	theory	NOUN
ejpam-6051	24	20	,	,	PUNCT
ejpam-6051	24	21	fuzzy	fuzzy	ADJ
ejpam-6051	24	22	system	system	NOUN
ejpam-6051	24	23	control	control	NOUN
ejpam-6051	24	24	,	,	PUNCT
ejpam-6051	24	25	and	and	CCONJ
ejpam-6051	24	26	so	so	ADV
ejpam-6051	24	27	forth	forth	ADV
ejpam-6051	24	28	.	.	PUNCT
ejpam-6051	25	1	later	later	ADV
ejpam-6051	25	2	on	on	ADV
ejpam-6051	25	3	,	,	PUNCT
ejpam-6051	25	4	fuzzy	fuzzy	ADJ
ejpam-6051	25	5	mapping	mapping	NOUN
ejpam-6051	25	6	and	and	CCONJ
ejpam-6051	25	7	control	control	NOUN
ejpam-6051	25	8	were	be	AUX
ejpam-6051	25	9	introduced	introduce	VERB
ejpam-6051	25	10	together	together	ADV
ejpam-6051	25	11	with	with	ADP
ejpam-6051	25	12	the	the	DET
ejpam-6051	25	13	fuzzy	fuzzy	ADJ
ejpam-6051	25	14	set	set	NOUN
ejpam-6051	25	15	notion	notion	NOUN
ejpam-6051	25	16	by	by	ADP
ejpam-6051	25	17	chang	chang	PROPN
ejpam-6051	25	18	and	and	CCONJ
ejpam-6051	25	19	zadeh	zadeh	PROPN
ejpam-6051	26	1	[	[	X
ejpam-6051	26	2	7	7	NUM
ejpam-6051	26	3	]	]	PUNCT
ejpam-6051	26	4	.	.	PUNCT
ejpam-6051	27	1	moreover	moreover	ADV
ejpam-6051	27	2	,	,	PUNCT
ejpam-6051	27	3	many	many	ADJ
ejpam-6051	27	4	researchers	researcher	NOUN
ejpam-6051	27	5	introduce	introduce	VERB
ejpam-6051	27	6	elementary	elementary	ADJ
ejpam-6051	27	7	calculus	calculus	NOUN
ejpam-6051	27	8	in	in	ADP
ejpam-6051	27	9	a	a	DET
ejpam-6051	27	10	fuzzy	fuzzy	ADJ
ejpam-6051	27	11	sense	sense	NOUN
ejpam-6051	27	12	(	(	PUNCT
ejpam-6051	27	13	fuzzy	fuzzy	ADJ
ejpam-6051	27	14	calculus	calculus	NOUN
ejpam-6051	27	15	)	)	PUNCT
ejpam-6051	27	16	on	on	ADP
ejpam-6051	27	17	the	the	DET
ejpam-6051	27	18	basis	basis	NOUN
ejpam-6051	27	19	of	of	ADP
ejpam-6051	27	20	mapping	mapping	NOUN
ejpam-6051	27	21	(	(	PUNCT
ejpam-6051	27	22	fuzzy	fuzzy	ADJ
ejpam-6051	27	23	mapping	mapping	NOUN
ejpam-6051	27	24	)	)	PUNCT
ejpam-6051	27	25	and	and	CCONJ
ejpam-6051	27	26	control	control	NOUN
ejpam-6051	27	27	(	(	PUNCT
ejpam-6051	27	28	i.e.	i.e.	X
ejpam-6051	27	29	,	,	PUNCT
ejpam-6051	27	30	equations	equation	NOUN
ejpam-6051	27	31	involving	involve	VERB
ejpam-6051	27	32	derivatives	derivative	NOUN
ejpam-6051	27	33	of	of	ADP
ejpam-6051	27	34	fuzzy	fuzzy	ADJ
ejpam-6051	27	35	mappings	mapping	NOUN
ejpam-6051	27	36	)	)	PUNCT
ejpam-6051	28	1	[	[	X
ejpam-6051	28	2	8	8	NUM
ejpam-6051	28	3	]	]	PUNCT
ejpam-6051	28	4	.	.	PUNCT
ejpam-6051	29	1	these	these	DET
ejpam-6051	29	2	mappings	mapping	NOUN
ejpam-6051	29	3	can	can	AUX
ejpam-6051	29	4	be	be	AUX
ejpam-6051	29	5	thought	think	VERB
ejpam-6051	29	6	of	of	ADP
ejpam-6051	29	7	as	as	ADV
ejpam-6051	29	8	fuzzy	fuzzy	ADJ
ejpam-6051	29	9	relations	relation	NOUN
ejpam-6051	29	10	as	as	ADV
ejpam-6051	29	11	well	well	ADV
ejpam-6051	29	12	.	.	PUNCT
ejpam-6051	30	1	the	the	DET
ejpam-6051	30	2	integral	integral	ADJ
ejpam-6051	30	3	of	of	ADP
ejpam-6051	30	4	such	such	ADJ
ejpam-6051	30	5	fuzzy	fuzzy	ADJ
ejpam-6051	30	6	mappings	mapping	NOUN
ejpam-6051	30	7	over	over	ADP
ejpam-6051	30	8	a	a	DET
ejpam-6051	30	9	crisp	crisp	ADJ
ejpam-6051	30	10	interval	interval	NOUN
ejpam-6051	30	11	is	be	AUX
ejpam-6051	30	12	defined	define	VERB
ejpam-6051	30	13	using	use	VERB
ejpam-6051	30	14	zadeh	zadeh	PROPN
ejpam-6051	30	15	’s	’s	PART
ejpam-6051	30	16	extension	extension	NOUN
ejpam-6051	30	17	approach	approach	NOUN
ejpam-6051	30	18	as	as	ADV
ejpam-6051	30	19	well	well	ADV
ejpam-6051	31	1	[	[	X
ejpam-6051	31	2	9	9	NUM
ejpam-6051	31	3	]	]	PUNCT
ejpam-6051	31	4	.	.	PUNCT
ejpam-6051	32	1	in	in	ADP
ejpam-6051	32	2	addition	addition	NOUN
ejpam-6051	32	3	,	,	PUNCT
ejpam-6051	32	4	it	it	PRON
ejpam-6051	32	5	is	be	AUX
ejpam-6051	32	6	observed	observe	VERB
ejpam-6051	32	7	from	from	ADP
ejpam-6051	32	8	the	the	DET
ejpam-6051	32	9	literature	literature	NOUN
ejpam-6051	32	10	review	review	NOUN
ejpam-6051	32	11	that	that	SCONJ
ejpam-6051	32	12	the	the	DET
ejpam-6051	32	13	problem	problem	NOUN
ejpam-6051	32	14	of	of	ADP
ejpam-6051	32	15	integrating	integrate	VERB
ejpam-6051	32	16	mapping	mapping	NOUN
ejpam-6051	32	17	over	over	ADP
ejpam-6051	32	18	fuzzy	fuzzy	ADJ
ejpam-6051	32	19	domains	domain	NOUN
ejpam-6051	32	20	has	have	AUX
ejpam-6051	32	21	been	be	AUX
ejpam-6051	32	22	received	receive	VERB
ejpam-6051	32	23	.	.	PUNCT
ejpam-6051	33	1	as	as	SCONJ
ejpam-6051	33	2	there	there	PRON
ejpam-6051	33	3	is	be	VERB
ejpam-6051	33	4	not	not	PART
ejpam-6051	33	5	a	a	DET
ejpam-6051	33	6	unique	unique	ADJ
ejpam-6051	33	7	approach	approach	NOUN
ejpam-6051	33	8	,	,	PUNCT
ejpam-6051	33	9	many	many	ADJ
ejpam-6051	33	10	definitions	definition	NOUN
ejpam-6051	33	11	have	have	AUX
ejpam-6051	33	12	been	be	AUX
ejpam-6051	33	13	presented	present	VERB
ejpam-6051	33	14	,	,	PUNCT
ejpam-6051	33	15	each	each	PRON
ejpam-6051	33	16	having	have	VERB
ejpam-6051	33	17	its	its	PRON
ejpam-6051	33	18	own	own	ADJ
ejpam-6051	33	19	approach	approach	NOUN
ejpam-6051	33	20	[	[	X
ejpam-6051	33	21	10	10	NUM
ejpam-6051	33	22	]	]	PUNCT
ejpam-6051	33	23	.	.	PUNCT
ejpam-6051	34	1	further	far	ADV
ejpam-6051	34	2	,	,	PUNCT
ejpam-6051	34	3	it	it	PRON
ejpam-6051	34	4	may	may	AUX
ejpam-6051	34	5	be	be	AUX
ejpam-6051	34	6	noted	note	VERB
ejpam-6051	34	7	that	that	SCONJ
ejpam-6051	34	8	in	in	ADP
ejpam-6051	34	9	recent	recent	ADJ
ejpam-6051	34	10	studies	study	NOUN
ejpam-6051	34	11	,	,	PUNCT
ejpam-6051	34	12	fuzzy	fuzzy	ADJ
ejpam-6051	34	13	fractional	fractional	ADJ
ejpam-6051	34	14	differential	differential	ADJ
ejpam-6051	34	15	integral	integral	ADJ
ejpam-6051	34	16	equations	equation	NOUN
ejpam-6051	34	17	(	(	PUNCT
ejpam-6051	34	18	ffdies	ffdie	NOUN
ejpam-6051	34	19	)	)	PUNCT
ejpam-6051	34	20	have	have	VERB
ejpam-6051	34	21	an	an	DET
ejpam-6051	34	22	important	important	ADJ
ejpam-6051	34	23	role	role	NOUN
ejpam-6051	34	24	in	in	ADP
ejpam-6051	34	25	the	the	DET
ejpam-6051	34	26	field	field	NOUN
ejpam-6051	34	27	of	of	ADP
ejpam-6051	34	28	sciences	science	NOUN
ejpam-6051	34	29	(	(	PUNCT
ejpam-6051	34	30	physical	physical	NOUN
ejpam-6051	34	31	science(s	science(s	NOUN
ejpam-6051	34	32	)	)	PUNCT
ejpam-6051	34	33	)	)	PUNCT
ejpam-6051	34	34	.	.	PUNCT
ejpam-6051	35	1	whereas	whereas	ADV
ejpam-6051	35	2	,	,	PUNCT
ejpam-6051	35	3	the	the	DET
ejpam-6051	35	4	basic	basic	ADJ
ejpam-6051	35	5	concept	concept	NOUN
ejpam-6051	35	6	for	for	ADP
ejpam-6051	35	7	fuzzy	fuzzy	ADJ
ejpam-6051	35	8	integral	integral	ADJ
ejpam-6051	35	9	equation(s	equation(s	NOUN
ejpam-6051	35	10	)	)	PUNCT
ejpam-6051	35	11	was	be	AUX
ejpam-6051	35	12	presented	present	VERB
ejpam-6051	35	13	by	by	ADP
ejpam-6051	35	14	dobius	dobius	NOUN
ejpam-6051	35	15	and	and	CCONJ
ejpam-6051	35	16	prade	prade	NOUN
ejpam-6051	35	17	in	in	ADP
ejpam-6051	35	18	[	[	X
ejpam-6051	35	19	8	8	NUM
ejpam-6051	35	20	]	]	PUNCT
ejpam-6051	35	21	.	.	PUNCT
ejpam-6051	36	1	due	due	ADP
ejpam-6051	36	2	to	to	ADP
ejpam-6051	36	3	the	the	DET
ejpam-6051	36	4	fact	fact	NOUN
ejpam-6051	36	5	that	that	SCONJ
ejpam-6051	36	6	there	there	PRON
ejpam-6051	36	7	are	be	VERB
ejpam-6051	36	8	so	so	ADV
ejpam-6051	36	9	many	many	ADJ
ejpam-6051	36	10	real	real	ADJ
ejpam-6051	36	11	-	-	PUNCT
ejpam-6051	36	12	world	world	NOUN
ejpam-6051	36	13	issues	issue	NOUN
ejpam-6051	36	14	in	in	ADP
ejpam-6051	36	15	computer	computer	NOUN
ejpam-6051	36	16	science	science	NOUN
ejpam-6051	36	17	,	,	PUNCT
ejpam-6051	36	18	artificial	artificial	ADJ
ejpam-6051	36	19	intelligence	intelligence	NOUN
ejpam-6051	36	20	,	,	PUNCT
ejpam-6051	36	21	physics	physics	NOUN
ejpam-6051	36	22	,	,	PUNCT
ejpam-6051	36	23	and	and	CCONJ
ejpam-6051	36	24	industrial	industrial	ADJ
ejpam-6051	36	25	engineering	engineering	NOUN
ejpam-6051	36	26	,	,	PUNCT
ejpam-6051	36	27	fuzzy	fuzzy	ADJ
ejpam-6051	36	28	fractional	fractional	ADJ
ejpam-6051	36	29	integral	integral	ADJ
ejpam-6051	36	30	equations	equation	NOUN
ejpam-6051	36	31	have	have	VERB
ejpam-6051	36	32	a	a	DET
ejpam-6051	36	33	lot	lot	NOUN
ejpam-6051	36	34	more	more	ADJ
ejpam-6051	36	35	applications	application	NOUN
ejpam-6051	36	36	.	.	PUNCT
ejpam-6051	37	1	which	which	PRON
ejpam-6051	37	2	can	can	AUX
ejpam-6051	37	3	be	be	AUX
ejpam-6051	37	4	expressed	express	VERB
ejpam-6051	37	5	by	by	ADP
ejpam-6051	37	6	means	mean	NOUN
ejpam-6051	37	7	of	of	ADP
ejpam-6051	37	8	/	/	SYM
ejpam-6051	37	9	through	through	ADP
ejpam-6051	37	10	such	such	ADJ
ejpam-6051	37	11	equations	equation	NOUN
ejpam-6051	37	12	.	.	PUNCT
ejpam-6051	38	1	additionally	additionally	ADV
ejpam-6051	38	2	,	,	PUNCT
ejpam-6051	38	3	operation	operation	NOUN
ejpam-6051	38	4	research	research	NOUN
ejpam-6051	38	5	issues	issue	NOUN
ejpam-6051	38	6	may	may	AUX
ejpam-6051	38	7	be	be	AUX
ejpam-6051	38	8	transformed	transform	VERB
ejpam-6051	38	9	into	into	ADP
ejpam-6051	38	10	uncertain	uncertain	ADJ
ejpam-6051	38	11	processes	process	NOUN
ejpam-6051	38	12	with	with	ADP
ejpam-6051	38	13	fractional	fractional	ADJ
ejpam-6051	38	14	order	order	NOUN
ejpam-6051	38	15	derivative(s	derivative(s	NOUN
ejpam-6051	38	16	)	)	PUNCT
ejpam-6051	38	17	.	.	PUNCT
ejpam-6051	39	1	furthermore	furthermore	ADV
ejpam-6051	39	2	,	,	PUNCT
ejpam-6051	39	3	notice	notice	VERB
ejpam-6051	39	4	that	that	SCONJ
ejpam-6051	39	5	partial	partial	ADJ
ejpam-6051	39	6	differential	differential	ADJ
ejpam-6051	39	7	equations	equation	NOUN
ejpam-6051	39	8	(	(	PUNCT
ejpam-6051	39	9	pdes	pde	NOUN
ejpam-6051	39	10	)	)	PUNCT
ejpam-6051	39	11	have	have	VERB
ejpam-6051	39	12	convincing	convince	VERB
ejpam-6051	39	13	properties	property	NOUN
ejpam-6051	39	14	in	in	ADP
ejpam-6051	39	15	modeling	model	VERB
ejpam-6051	39	16	various	various	ADJ
ejpam-6051	39	17	real	real	ADJ
ejpam-6051	39	18	-	-	PUNCT
ejpam-6051	39	19	world	world	NOUN
ejpam-6051	39	20	physical	physical	ADJ
ejpam-6051	39	21	problems	problem	NOUN
ejpam-6051	39	22	,	,	PUNCT
ejpam-6051	39	23	such	such	ADJ
ejpam-6051	39	24	as	as	ADP
ejpam-6051	39	25	propagation	propagation	NOUN
ejpam-6051	39	26	of	of	ADP
ejpam-6051	39	27	sound	sound	NOUN
ejpam-6051	39	28	in	in	ADP
ejpam-6051	39	29	wave(s	wave(s	NOUN
ejpam-6051	39	30	)	)	PUNCT
ejpam-6051	39	31	form	form	NOUN
ejpam-6051	39	32	,	,	PUNCT
ejpam-6051	39	33	heat	heat	NOUN
ejpam-6051	39	34	transfer	transfer	NOUN
ejpam-6051	39	35	phenomena	phenomenon	NOUN
ejpam-6051	39	36	,	,	PUNCT
ejpam-6051	39	37	and	and	CCONJ
ejpam-6051	39	38	water	water	NOUN
ejpam-6051	39	39	waves	wave	NOUN
ejpam-6051	39	40	,	,	PUNCT
ejpam-6051	39	41	etc	etc	X
ejpam-6051	39	42	.	.	X
ejpam-6051	40	1	[	[	X
ejpam-6051	40	2	11	11	NUM
ejpam-6051	40	3	]	]	PUNCT
ejpam-6051	40	4	.	.	PUNCT
ejpam-6051	41	1	additionally	additionally	ADV
ejpam-6051	41	2	,	,	PUNCT
ejpam-6051	41	3	fractional	fractional	ADJ
ejpam-6051	41	4	calculus	calculus	NOUN
ejpam-6051	41	5	is	be	AUX
ejpam-6051	41	6	receiving	receive	VERB
ejpam-6051	41	7	more	more	ADJ
ejpam-6051	41	8	attention	attention	NOUN
ejpam-6051	41	9	because	because	SCONJ
ejpam-6051	41	10	numerical	numerical	ADJ
ejpam-6051	41	11	modeling	modeling	NOUN
ejpam-6051	41	12	of	of	ADP
ejpam-6051	41	13	partial	partial	ADJ
ejpam-6051	41	14	integro	integro	ADJ
ejpam-6051	41	15	-	-	PUNCT
ejpam-6051	41	16	differential	differential	NOUN
ejpam-6051	41	17	equations	equation	NOUN
ejpam-6051	41	18	of	of	ADP
ejpam-6051	41	19	fractional	fractional	ADJ
ejpam-6051	41	20	order	order	NOUN
ejpam-6051	41	21	reveals	reveal	VERB
ejpam-6051	41	22	intriguing	intriguing	ADJ
ejpam-6051	41	23	characteristics	characteristic	NOUN
ejpam-6051	41	24	in	in	ADP
ejpam-6051	41	25	a	a	DET
ejpam-6051	41	26	variety	variety	NOUN
ejpam-6051	41	27	of	of	ADP
ejpam-6051	41	28	scientific	scientific	ADJ
ejpam-6051	41	29	fields	field	NOUN
ejpam-6051	41	30	[	[	X
ejpam-6051	41	31	12	12	NUM
ejpam-6051	41	32	]	]	PUNCT
ejpam-6051	41	33	.	.	PUNCT
ejpam-6051	42	1	in	in	ADP
ejpam-6051	42	2	this	this	DET
ejpam-6051	42	3	regard	regard	NOUN
ejpam-6051	42	4	,	,	PUNCT
ejpam-6051	42	5	o.a	o.a	PROPN
ejpam-6051	42	6	.	.	PROPN
ejpam-6051	42	7	arqub	arqub	NOUN
ejpam-6051	43	1	[	[	X
ejpam-6051	43	2	13	13	NUM
ejpam-6051	43	3	]	]	PUNCT
ejpam-6051	43	4	considers	consider	VERB
ejpam-6051	43	5	a	a	DET
ejpam-6051	43	6	powerful	powerful	ADJ
ejpam-6051	43	7	tool	tool	NOUN
ejpam-6051	43	8	/	/	SYM
ejpam-6051	43	9	algorithm	algorithm	NOUN
ejpam-6051	43	10	to	to	PART
ejpam-6051	43	11	investigate	investigate	VERB
ejpam-6051	43	12	the	the	DET
ejpam-6051	43	13	solutions	solution	NOUN
ejpam-6051	43	14	of	of	ADP
ejpam-6051	43	15	singular	singular	ADJ
ejpam-6051	43	16	fredholm	fredholm	NOUN
ejpam-6051	43	17	time	time	NOUN
ejpam-6051	43	18	-	-	PUNCT
ejpam-6051	43	19	fractional	fractional	ADJ
ejpam-6051	43	20	partial	partial	ADJ
ejpam-6051	43	21	integro	integro	ADJ
ejpam-6051	43	22	-	-	PUNCT
ejpam-6051	43	23	differential	differential	NOUN
ejpam-6051	43	24	equations	equation	NOUN
ejpam-6051	43	25	having	have	VERB
ejpam-6051	43	26	dirichlet	dirichlet	PROPN
ejpam-6051	43	27	functions	function	NOUN
ejpam-6051	43	28	.	.	PUNCT
ejpam-6051	44	1	and	and	CCONJ
ejpam-6051	44	2	hence	hence	ADV
ejpam-6051	44	3	,	,	PUNCT
ejpam-6051	44	4	provide	provide	VERB
ejpam-6051	44	5	an	an	DET
ejpam-6051	44	6	appropriate	appropriate	ADJ
ejpam-6051	44	7	solution	solution	NOUN
ejpam-6051	44	8	in	in	ADP
ejpam-6051	44	9	infinite	infinite	ADJ
ejpam-6051	44	10	series	series	NOUN
ejpam-6051	44	11	with	with	ADP
ejpam-6051	44	12	accurate	accurate	ADJ
ejpam-6051	44	13	structures	structure	NOUN
ejpam-6051	44	14	.	.	PUNCT
ejpam-6051	45	1	moreover	moreover	ADV
ejpam-6051	45	2	,	,	PUNCT
ejpam-6051	45	3	the	the	DET
ejpam-6051	45	4	aforesaid	aforesaid	NOUN
ejpam-6051	45	5	area	area	NOUN
ejpam-6051	45	6	has	have	AUX
ejpam-6051	45	7	been	be	AUX
ejpam-6051	45	8	enlarged	enlarge	VERB
ejpam-6051	45	9	to	to	ADP
ejpam-6051	45	10	ordinaryorder	ordinaryorder	NOUN
ejpam-6051	45	11	(	(	PUNCT
ejpam-6051	45	12	fractional	fractional	ADJ
ejpam-6051	45	13	)	)	PUNCT
ejpam-6051	45	14	calculus	calculus	NOUN
ejpam-6051	45	15	,	,	PUNCT
ejpam-6051	45	16	and	and	CCONJ
ejpam-6051	45	17	numerous	numerous	ADJ
ejpam-6051	45	18	successful	successful	ADJ
ejpam-6051	45	19	outcomes	outcome	NOUN
ejpam-6051	45	20	are	be	AUX
ejpam-6051	45	21	well	well	ADV
ejpam-6051	45	22	-	-	PUNCT
ejpam-6051	45	23	documented	document	VERB
ejpam-6051	45	24	in	in	ADP
ejpam-6051	45	25	the	the	DET
ejpam-6051	45	26	available	available	ADJ
ejpam-6051	45	27	literature	literature	NOUN
ejpam-6051	46	1	[	[	X
ejpam-6051	46	2	11	11	NUM
ejpam-6051	46	3	]	]	PUNCT
ejpam-6051	46	4	.	.	PUNCT
ejpam-6051	47	1	furthermore	furthermore	ADV
ejpam-6051	47	2	,	,	PUNCT
ejpam-6051	47	3	fuzzy	fuzzy	ADJ
ejpam-6051	47	4	ordinary	ordinary	ADJ
ejpam-6051	47	5	(	(	PUNCT
ejpam-6051	47	6	fractional	fractional	ADJ
ejpam-6051	47	7	)	)	PUNCT
ejpam-6051	47	8	order	order	NOUN
ejpam-6051	47	9	partial	partial	ADJ
ejpam-6051	47	10	differential	differential	NOUN
ejpam-6051	47	11	equation(s	equation(s	NOUN
ejpam-6051	47	12	)	)	PUNCT
ejpam-6051	47	13	have	have	VERB
ejpam-6051	47	14	various	various	ADJ
ejpam-6051	47	15	properties	property	NOUN
ejpam-6051	47	16	in	in	ADP
ejpam-6051	47	17	the	the	DET
ejpam-6051	47	18	field	field	NOUN
ejpam-6051	47	19	of	of	ADP
ejpam-6051	47	20	dynamical	dynamical	ADJ
ejpam-6051	47	21	systems	system	NOUN
ejpam-6051	47	22	,	,	PUNCT
ejpam-6051	47	23	damped	damp	VERB
ejpam-6051	47	24	nonlinear	nonlinear	ADJ
ejpam-6051	47	25	string	string	NOUN
ejpam-6051	47	26	,	,	PUNCT
ejpam-6051	47	27	nonlinear	nonlinear	ADJ
ejpam-6051	47	28	propagation	propagation	NOUN
ejpam-6051	47	29	of	of	ADP
ejpam-6051	47	30	traveling	travel	VERB
ejpam-6051	47	31	wave	wave	NOUN
ejpam-6051	47	32	,	,	PUNCT
ejpam-6051	47	33	telecommunications	telecommunication	NOUN
ejpam-6051	47	34	,	,	PUNCT
ejpam-6051	47	35	and	and	CCONJ
ejpam-6051	47	36	in	in	ADP
ejpam-6051	47	37	the	the	DET
ejpam-6051	47	38	field	field	NOUN
ejpam-6051	47	39	of	of	ADP
ejpam-6051	47	40	electronics	electronic	NOUN
ejpam-6051	47	41	etc	etc	X
ejpam-6051	47	42	.	.	X
ejpam-6051	47	43	,[14	,[14	PUNCT
ejpam-6051	47	44	]	]	PUNCT
ejpam-6051	47	45	.	.	PUNCT
ejpam-6051	48	1	in	in	ADP
ejpam-6051	48	2	addition	addition	NOUN
ejpam-6051	48	3	,	,	PUNCT
ejpam-6051	48	4	non	non	ADJ
ejpam-6051	48	5	-	-	ADJ
ejpam-6051	48	6	linear	linear	ADJ
ejpam-6051	48	7	partial	partial	ADJ
ejpam-6051	48	8	differential	differential	NOUN
ejpam-6051	48	9	equations(nlpdes	equations(nlpde	NOUN
ejpam-6051	48	10	)	)	PUNCT
ejpam-6051	48	11	also	also	ADV
ejpam-6051	48	12	have	have	VERB
ejpam-6051	48	13	various	various	ADJ
ejpam-6051	48	14	properties	property	NOUN
ejpam-6051	48	15	in	in	ADP
ejpam-6051	48	16	the	the	DET
ejpam-6051	48	17	field	field	NOUN
ejpam-6051	48	18	of	of	ADP
ejpam-6051	48	19	physic	physic	NOUN
ejpam-6051	48	20	and	and	CCONJ
ejpam-6051	48	21	engineering	engineering	NOUN
ejpam-6051	48	22	.	.	PUNCT
ejpam-6051	49	1	in	in	ADP
ejpam-6051	49	2	more	more	ADV
ejpam-6051	49	3	recent	recent	ADJ
ejpam-6051	49	4	times	time	NOUN
ejpam-6051	49	5	,	,	PUNCT
ejpam-6051	49	6	partial	partial	ADJ
ejpam-6051	49	7	m.	m.	NOUN
ejpam-6051	49	8	usman	usman	PROPN
ejpam-6051	49	9	et	et	PROPN
ejpam-6051	49	10	al	al	PROPN
ejpam-6051	49	11	.	.	PUNCT
ejpam-6051	49	12	/	/	SYM
ejpam-6051	49	13	eur	eur	PROPN
ejpam-6051	49	14	.	.	PUNCT
ejpam-6051	50	1	j.	j.	PROPN
ejpam-6051	50	2	pure	pure	PROPN
ejpam-6051	50	3	appl	appl	PROPN
ejpam-6051	50	4	.	.	PROPN
ejpam-6051	50	5	math	math	PROPN
ejpam-6051	50	6	,	,	PUNCT
ejpam-6051	50	7	18	18	NUM
ejpam-6051	50	8	(	(	PUNCT
ejpam-6051	50	9	2	2	NUM
ejpam-6051	50	10	)	)	PUNCT
ejpam-6051	50	11	(	(	PUNCT
ejpam-6051	50	12	2025	2025	NUM
ejpam-6051	50	13	)	)	PUNCT
ejpam-6051	50	14	,	,	PUNCT
ejpam-6051	50	15	6051	6051	NUM
ejpam-6051	50	16	3	3	NUM
ejpam-6051	50	17	of	of	ADP
ejpam-6051	50	18	10	10	NUM
ejpam-6051	50	19	differential	differential	ADJ
ejpam-6051	50	20	equations	equation	NOUN
ejpam-6051	50	21	have	have	AUX
ejpam-6051	50	22	been	be	AUX
ejpam-6051	50	23	approached	approach	VERB
ejpam-6051	50	24	using	use	VERB
ejpam-6051	50	25	nonlinear	nonlinear	ADJ
ejpam-6051	50	26	fractional	fractional	ADJ
ejpam-6051	50	27	order	order	NOUN
ejpam-6051	50	28	differential	differential	NOUN
ejpam-6051	50	29	equations	equation	NOUN
ejpam-6051	50	30	.	.	PUNCT
ejpam-6051	51	1	in	in	ADP
ejpam-6051	51	2	this	this	DET
ejpam-6051	51	3	connection	connection	NOUN
ejpam-6051	51	4	,	,	PUNCT
ejpam-6051	51	5	different	different	ADJ
ejpam-6051	51	6	type	type	NOUN
ejpam-6051	51	7	of	of	ADP
ejpam-6051	51	8	fractional	fractional	ADJ
ejpam-6051	51	9	-	-	PUNCT
ejpam-6051	51	10	operators	operator	NOUN
ejpam-6051	51	11	(	(	PUNCT
ejpam-6051	51	12	riemann	riemann	PROPN
ejpam-6051	51	13	-	-	PUNCT
ejpam-6051	51	14	liouville	liouville	VERB
ejpam-6051	51	15	fractional	fractional	ADJ
ejpam-6051	51	16	-	-	PUNCT
ejpam-6051	51	17	order	order	NOUN
ejpam-6051	51	18	,	,	PUNCT
ejpam-6051	51	19	caputo	caputo	PROPN
ejpam-6051	51	20	-	-	PUNCT
ejpam-6051	51	21	fabrizio	fabrizio	PROPN
ejpam-6051	51	22	,	,	PUNCT
ejpam-6051	51	23	etc	etc	X
ejpam-6051	51	24	.	.	X
ejpam-6051	51	25	,	,	PUNCT
ejpam-6051	51	26	)	)	PUNCT
ejpam-6051	51	27	which	which	PRON
ejpam-6051	51	28	is	be	AUX
ejpam-6051	51	29	based	base	VERB
ejpam-6051	51	30	on	on	ADP
ejpam-6051	51	31	the	the	DET
ejpam-6051	51	32	exponential	exponential	ADJ
ejpam-6051	51	33	kernel	kernel	NOUN
ejpam-6051	51	34	have	have	AUX
ejpam-6051	51	35	been	be	AUX
ejpam-6051	51	36	developed	develop	VERB
ejpam-6051	51	37	by	by	ADP
ejpam-6051	51	38	different	different	ADJ
ejpam-6051	51	39	researchers	researcher	NOUN
ejpam-6051	51	40	.	.	PUNCT
ejpam-6051	52	1	these	these	DET
ejpam-6051	52	2	fractional	fractional	ADJ
ejpam-6051	52	3	operators	operator	NOUN
ejpam-6051	52	4	which	which	PRON
ejpam-6051	52	5	is	be	AUX
ejpam-6051	52	6	used	use	VERB
ejpam-6051	52	7	in	in	ADP
ejpam-6051	52	8	analyzing	analyze	VERB
ejpam-6051	52	9	many	many	ADJ
ejpam-6051	52	10	non	non	ADJ
ejpam-6051	52	11	-	-	ADJ
ejpam-6051	52	12	linear	linear	ADJ
ejpam-6051	52	13	real	real	ADJ
ejpam-6051	52	14	-	-	PUNCT
ejpam-6051	52	15	word	word	NOUN
ejpam-6051	52	16	problems	problem	NOUN
ejpam-6051	52	17	[	[	X
ejpam-6051	52	18	15–18	15–18	NUM
ejpam-6051	52	19	]	]	X
ejpam-6051	52	20	.	.	PUNCT
ejpam-6051	53	1	being	be	AUX
ejpam-6051	53	2	a	a	DET
ejpam-6051	53	3	fuzzy	fuzzy	ADJ
ejpam-6051	53	4	fractional	fractional	ADJ
ejpam-6051	53	5	partial	partial	ADJ
ejpam-6051	53	6	differential	differential	NOUN
ejpam-6051	53	7	equation	equation	NOUN
ejpam-6051	53	8	(	(	PUNCT
ejpam-6051	53	9	ffpdes	ffpde	NOUN
ejpam-6051	53	10	)	)	PUNCT
ejpam-6051	53	11	,	,	PUNCT
ejpam-6051	53	12	heat	heat	NOUN
ejpam-6051	53	13	equation	equation	NOUN
ejpam-6051	53	14	(	(	PUNCT
ejpam-6051	53	15	he	he	PRON
ejpam-6051	53	16	)	)	PUNCT
ejpam-6051	53	17	is	be	AUX
ejpam-6051	53	18	one	one	NUM
ejpam-6051	53	19	of	of	ADP
ejpam-6051	53	20	the	the	DET
ejpam-6051	53	21	most	most	ADV
ejpam-6051	53	22	important	important	ADJ
ejpam-6051	53	23	and	and	CCONJ
ejpam-6051	53	24	widely	widely	ADV
ejpam-6051	53	25	studied	study	VERB
ejpam-6051	53	26	topics	topic	NOUN
ejpam-6051	53	27	in	in	ADP
ejpam-6051	53	28	the	the	DET
ejpam-6051	53	29	world	world	NOUN
ejpam-6051	53	30	of	of	ADP
ejpam-6051	53	31	mathematics	mathematic	NOUN
ejpam-6051	53	32	,	,	PUNCT
ejpam-6051	53	33	and	and	CCONJ
ejpam-6051	53	34	the	the	DET
ejpam-6051	53	35	study	study	NOUN
ejpam-6051	53	36	of	of	ADP
ejpam-6051	53	37	the	the	DET
ejpam-6051	53	38	aforesaid	aforesaid	ADJ
ejpam-6051	53	39	pde	pde	NOUN
ejpam-6051	53	40	is	be	AUX
ejpam-6051	53	41	considered	consider	VERB
ejpam-6051	53	42	as	as	ADP
ejpam-6051	53	43	a	a	DET
ejpam-6051	53	44	vital	vital	NOUN
ejpam-6051	53	45	to	to	ADP
ejpam-6051	53	46	the	the	DET
ejpam-6051	53	47	area	area	NOUN
ejpam-6051	53	48	of	of	ADP
ejpam-6051	53	49	partial	partial	ADJ
ejpam-6051	53	50	differential	differential	NOUN
ejpam-6051	53	51	equations	equation	NOUN
ejpam-6051	53	52	.	.	PUNCT
ejpam-6051	54	1	now	now	ADV
ejpam-6051	54	2	to	to	PART
ejpam-6051	54	3	investigate	investigate	VERB
ejpam-6051	54	4	the	the	DET
ejpam-6051	54	5	aforesaid	aforesaid	NOUN
ejpam-6051	54	6	ffpdes	ffpde	NOUN
ejpam-6051	54	7	,	,	PUNCT
ejpam-6051	54	8	several	several	ADJ
ejpam-6051	54	9	valuable	valuable	ADJ
ejpam-6051	54	10	and	and	CCONJ
ejpam-6051	54	11	important	important	ADJ
ejpam-6051	54	12	mechanism	mechanism	NOUN
ejpam-6051	54	13	were	be	AUX
ejpam-6051	54	14	used	use	VERB
ejpam-6051	54	15	in	in	ADP
ejpam-6051	54	16	the	the	DET
ejpam-6051	54	17	past	past	NOUN
ejpam-6051	54	18	,	,	PUNCT
ejpam-6051	54	19	like	like	ADP
ejpam-6051	54	20	the	the	DET
ejpam-6051	54	21	mechanism	mechanism	NOUN
ejpam-6051	54	22	of	of	ADP
ejpam-6051	54	23	fourier	fourier	ADJ
ejpam-6051	54	24	integral	integral	ADJ
ejpam-6051	54	25	transform	transform	NOUN
ejpam-6051	54	26	,	,	PUNCT
ejpam-6051	54	27	sumudu	sumudu	NOUN
ejpam-6051	54	28	transform	transform	NOUN
ejpam-6051	54	29	,	,	PUNCT
ejpam-6051	54	30	and	and	CCONJ
ejpam-6051	54	31	laplace	laplace	NOUN
ejpam-6051	54	32	transform	transform	NOUN
ejpam-6051	54	33	etc	etc	X
ejpam-6051	54	34	.	.	X
ejpam-6051	54	35	,	,	PUNCT
ejpam-6051	54	36	on	on	ADP
ejpam-6051	54	37	the	the	DET
ejpam-6051	54	38	other	other	ADJ
ejpam-6051	54	39	hand	hand	NOUN
ejpam-6051	54	40	,	,	PUNCT
ejpam-6051	54	41	some	some	DET
ejpam-6051	54	42	analytical	analytical	ADJ
ejpam-6051	54	43	method	method	NOUN
ejpam-6051	54	44	such	such	ADJ
ejpam-6051	54	45	as	as	ADP
ejpam-6051	54	46	,	,	PUNCT
ejpam-6051	54	47	homotopy	homotopy	VERB
ejpam-6051	54	48	perturbation	perturbation	NOUN
ejpam-6051	54	49	methods	method	NOUN
ejpam-6051	54	50	(	(	PUNCT
ejpam-6051	54	51	hpms	hpm	NOUN
ejpam-6051	54	52	)	)	PUNCT
ejpam-6051	54	53	,	,	PUNCT
ejpam-6051	54	54	samd	samd	NOUN
ejpam-6051	54	55	,	,	PUNCT
ejpam-6051	54	56	adm	adm	PROPN
ejpam-6051	54	57	,	,	PUNCT
ejpam-6051	54	58	ladm	ladm	ADV
ejpam-6051	54	59	,	,	PUNCT
ejpam-6051	54	60	taylors	taylors	PROPN
ejpam-6051	54	61	series	series	PROPN
ejpam-6051	54	62	method	method	PROPN
ejpam-6051	54	63	etc	etc	X
ejpam-6051	54	64	.	.	X
ejpam-6051	54	65	,	,	PUNCT
ejpam-6051	54	66	were	be	AUX
ejpam-6051	54	67	also	also	ADV
ejpam-6051	54	68	utilized	utilize	VERB
ejpam-6051	54	69	accordingly	accordingly	ADV
ejpam-6051	54	70	[	[	X
ejpam-6051	54	71	19	19	NUM
ejpam-6051	54	72	,	,	PUNCT
ejpam-6051	54	73	20	20	NUM
ejpam-6051	54	74	]	]	PUNCT
ejpam-6051	54	75	.	.	PUNCT
ejpam-6051	55	1	to	to	ADP
ejpam-6051	55	2	the	the	DET
ejpam-6051	55	3	best	good	ADJ
ejpam-6051	55	4	of	of	ADP
ejpam-6051	55	5	our	our	PRON
ejpam-6051	55	6	study	study	NOUN
ejpam-6051	55	7	,	,	PUNCT
ejpam-6051	55	8	the	the	DET
ejpam-6051	55	9	aforesaid	aforesaid	NOUN
ejpam-6051	55	10	technique	technique	NOUN
ejpam-6051	55	11	(	(	PUNCT
ejpam-6051	55	12	joint	joint	ADJ
ejpam-6051	55	13	mechanism	mechanism	NOUN
ejpam-6051	55	14	of	of	ADP
ejpam-6051	55	15	nt	not	PART
ejpam-6051	55	16	and	and	CCONJ
ejpam-6051	55	17	adm	adm	PROPN
ejpam-6051	55	18	)	)	PUNCT
ejpam-6051	55	19	have	have	AUX
ejpam-6051	55	20	not	not	PART
ejpam-6051	55	21	been	be	AUX
ejpam-6051	55	22	used	use	VERB
ejpam-6051	55	23	to	to	PART
ejpam-6051	55	24	handled	handle	VERB
ejpam-6051	55	25	such	such	ADJ
ejpam-6051	55	26	like	like	ADP
ejpam-6051	55	27	problems	problem	NOUN
ejpam-6051	55	28	.	.	PUNCT
ejpam-6051	56	1	furthermore	furthermore	ADV
ejpam-6051	56	2	,	,	PUNCT
ejpam-6051	56	3	the	the	DET
ejpam-6051	56	4	said	say	VERB
ejpam-6051	56	5	equation(heat	equation(heat	PROPN
ejpam-6051	56	6	equation	equation	NOUN
ejpam-6051	56	7	in	in	ADP
ejpam-6051	56	8	2	2	NUM
ejpam-6051	56	9	-	-	PUNCT
ejpam-6051	56	10	dimension	dimension	NOUN
ejpam-6051	56	11	)	)	PUNCT
ejpam-6051	56	12	have	have	AUX
ejpam-6051	56	13	been	be	AUX
ejpam-6051	56	14	solved	solve	VERB
ejpam-6051	56	15	by	by	ADP
ejpam-6051	56	16	double	double	ADJ
ejpam-6051	56	17	laplace	laplace	NOUN
ejpam-6051	56	18	transform	transform	NOUN
ejpam-6051	56	19	with	with	ADP
ejpam-6051	56	20	no	no	DET
ejpam-6051	56	21	source	source	NOUN
ejpam-6051	56	22	term	term	NOUN
ejpam-6051	56	23	and	and	CCONJ
ejpam-6051	56	24	are	be	AUX
ejpam-6051	56	25	solved	solve	VERB
ejpam-6051	56	26	by	by	ADP
ejpam-6051	56	27	hpm	hpm	NOUN
ejpam-6051	56	28	with	with	ADP
ejpam-6051	56	29	a	a	DET
ejpam-6051	56	30	source	source	NOUN
ejpam-6051	56	31	term	term	NOUN
ejpam-6051	56	32	.	.	PUNCT
ejpam-6051	57	1	here	here	ADV
ejpam-6051	57	2	,	,	PUNCT
ejpam-6051	57	3	we	we	PRON
ejpam-6051	57	4	aim	aim	VERB
ejpam-6051	57	5	to	to	PART
ejpam-6051	57	6	investigate	investigate	VERB
ejpam-6051	57	7	the	the	DET
ejpam-6051	57	8	analytical	analytical	ADJ
ejpam-6051	57	9	solution	solution	NOUN
ejpam-6051	57	10	by	by	ADP
ejpam-6051	57	11	a	a	DET
ejpam-6051	57	12	joint	joint	ADJ
ejpam-6051	57	13	mechanism	mechanism	NOUN
ejpam-6051	57	14	of	of	ADP
ejpam-6051	57	15	nt	not	PART
ejpam-6051	57	16	and	and	CCONJ
ejpam-6051	57	17	adm	adm	PROPN
ejpam-6051	57	18	.	.	PUNCT
ejpam-6051	57	19	{	{	PUNCT
ejpam-6051	58	1	∂β	∂β	PROPN
ejpam-6051	58	2	∂tβ	∂tβ	PROPN
ejpam-6051	58	3	φ(x	φ(x	PROPN
ejpam-6051	58	4	,	,	PUNCT
ejpam-6051	58	5	λ̆	λ̆	PROPN
ejpam-6051	58	6	,	,	PUNCT
ejpam-6051	58	7	t	t	PROPN
ejpam-6051	58	8	,	,	PUNCT
ejpam-6051	58	9	y	y	NOUN
ejpam-6051	58	10	)	)	PUNCT
ejpam-6051	58	11	=	=	SYM
ejpam-6051	58	12	∂2	∂2	PROPN
ejpam-6051	58	13	∂x2φ(x	∂x2φ(x	PROPN
ejpam-6051	58	14	,	,	PUNCT
ejpam-6051	58	15	λ̆	λ̆	PROPN
ejpam-6051	58	16	,	,	PUNCT
ejpam-6051	58	17	t	t	PROPN
ejpam-6051	58	18	,	,	PUNCT
ejpam-6051	58	19	y	y	PROPN
ejpam-6051	58	20	)	)	PUNCT
ejpam-6051	58	21	+	+	CCONJ
ejpam-6051	58	22	∂2	∂2	NOUN
ejpam-6051	58	23	∂y2	∂y2	ADJ
ejpam-6051	58	24	φ(x	φ(x	PROPN
ejpam-6051	58	25	,	,	PUNCT
ejpam-6051	58	26	λ̆	λ̆	PROPN
ejpam-6051	58	27	,	,	PUNCT
ejpam-6051	58	28	t	t	PROPN
ejpam-6051	58	29	,	,	PUNCT
ejpam-6051	58	30	y	y	PROPN
ejpam-6051	58	31	)	)	PUNCT
ejpam-6051	58	32	+	+	CCONJ
ejpam-6051	58	33	ϕ(x	ϕ(x	PROPN
ejpam-6051	58	34	,	,	PUNCT
ejpam-6051	58	35	λ̆	λ̆	PROPN
ejpam-6051	58	36	,	,	PUNCT
ejpam-6051	58	37	t	t	PROPN
ejpam-6051	58	38	,	,	PUNCT
ejpam-6051	58	39	y	y	PROPN
ejpam-6051	58	40	)	)	PUNCT
ejpam-6051	58	41	,	,	PUNCT
ejpam-6051	58	42	0	0	PUNCT
ejpam-6051	58	43	<	<	X
ejpam-6051	58	44	β	β	X
ejpam-6051	58	45	<	<	X
ejpam-6051	58	46	1	1	NUM
ejpam-6051	58	47	,	,	PUNCT
ejpam-6051	58	48	0	0	NUM
ejpam-6051	58	49	≤	≤	NUM
ejpam-6051	58	50	λ̆	λ̆	PUNCT
ejpam-6051	58	51	≤	≤	NOUN
ejpam-6051	58	52	1	1	NUM
ejpam-6051	58	53	φ(x	φ(x	NOUN
ejpam-6051	58	54	,	,	PUNCT
ejpam-6051	58	55	0	0	NUM
ejpam-6051	58	56	,	,	PUNCT
ejpam-6051	58	57	y	y	NOUN
ejpam-6051	58	58	)	)	PUNCT
ejpam-6051	58	59	=	=	SYM
ejpam-6051	59	1	ζ(x	ζ(x	NOUN
ejpam-6051	59	2	,	,	PUNCT
ejpam-6051	59	3	y	y	NOUN
ejpam-6051	59	4	)	)	PUNCT
ejpam-6051	59	5	.	.	PUNCT
ejpam-6051	60	1	(	(	PUNCT
ejpam-6051	60	2	1	1	X
ejpam-6051	60	3	)	)	PUNCT
ejpam-6051	60	4	moreover	moreover	ADV
ejpam-6051	60	5	,	,	PUNCT
ejpam-6051	60	6	the	the	DET
ejpam-6051	60	7	parametric	parametric	ADJ
ejpam-6051	60	8	form	form	NOUN
ejpam-6051	60	9	of	of	ADP
ejpam-6051	60	10	the	the	DET
ejpam-6051	60	11	above	above	ADJ
ejpam-6051	60	12	fuzzy	fuzzy	NOUN
ejpam-6051	60	13	eq	eq	ADP
ejpam-6051	60	14	:	:	PUNCT
ejpam-6051	60	15	(	(	PUNCT
ejpam-6051	60	16	1	1	X
ejpam-6051	60	17	)	)	PUNCT
ejpam-6051	60	18	will	will	AUX
ejpam-6051	60	19	be	be	AUX
ejpam-6051	60	20	;	;	PUNCT
ejpam-6051	60	21	{	{	PUNCT
ejpam-6051	60	22	∂β	∂β	PROPN
ejpam-6051	60	23	∂tβ	∂tβ	PROPN
ejpam-6051	60	24	φ̆(x	φ̆(x	NOUN
ejpam-6051	60	25	,	,	PUNCT
ejpam-6051	60	26	λ̆	λ̆	PROPN
ejpam-6051	60	27	,	,	PUNCT
ejpam-6051	60	28	t	t	PROPN
ejpam-6051	60	29	,	,	PUNCT
ejpam-6051	60	30	y	y	NOUN
ejpam-6051	60	31	)	)	PUNCT
ejpam-6051	60	32	=	=	SYM
ejpam-6051	60	33	∂2	∂2	ADJ
ejpam-6051	60	34	∂x2	∂x2	NOUN
ejpam-6051	60	35	φ̆(x	φ̆(x	NOUN
ejpam-6051	60	36	,	,	PUNCT
ejpam-6051	60	37	λ̆	λ̆	PROPN
ejpam-6051	60	38	,	,	PUNCT
ejpam-6051	60	39	t	t	PROPN
ejpam-6051	60	40	,	,	PUNCT
ejpam-6051	60	41	y	y	PROPN
ejpam-6051	60	42	)	)	PUNCT
ejpam-6051	61	1	+	+	CCONJ
ejpam-6051	61	2	∂2	∂2	ADJ
ejpam-6051	61	3	∂y2	∂y2	NOUN
ejpam-6051	61	4	ŭ(x	ŭ(x	NOUN
ejpam-6051	61	5	,	,	PUNCT
ejpam-6051	61	6	λ̆	λ̆	PROPN
ejpam-6051	61	7	,	,	PUNCT
ejpam-6051	61	8	t	t	PROPN
ejpam-6051	61	9	,	,	PUNCT
ejpam-6051	61	10	y	y	PROPN
ejpam-6051	61	11	)	)	PUNCT
ejpam-6051	62	1	+	+	CCONJ
ejpam-6051	62	2	ϕ̆(x	ϕ̆(x	PROPN
ejpam-6051	62	3	,	,	PUNCT
ejpam-6051	62	4	λ̆	λ̆	PROPN
ejpam-6051	62	5	,	,	PUNCT
ejpam-6051	62	6	t	t	PROPN
ejpam-6051	62	7	,	,	PUNCT
ejpam-6051	62	8	y	y	PROPN
ejpam-6051	62	9	)	)	PUNCT
ejpam-6051	62	10	,	,	PUNCT
ejpam-6051	62	11	0	0	PUNCT
ejpam-6051	62	12	<	<	X
ejpam-6051	62	13	β	β	X
ejpam-6051	62	14	<	<	X
ejpam-6051	62	15	1	1	NUM
ejpam-6051	62	16	,	,	PUNCT
ejpam-6051	62	17	0	0	NUM
ejpam-6051	62	18	≤	≤	NUM
ejpam-6051	62	19	λ	λ	NOUN
ejpam-6051	62	20	≤	≤	NOUN
ejpam-6051	62	21	1	1	NUM
ejpam-6051	62	22	φ̆(x	φ̆(x	NOUN
ejpam-6051	62	23	,	,	PUNCT
ejpam-6051	62	24	0	0	NUM
ejpam-6051	62	25	,	,	PUNCT
ejpam-6051	62	26	y	y	NOUN
ejpam-6051	62	27	)	)	PUNCT
ejpam-6051	62	28	=	=	SYM
ejpam-6051	63	1	ζ(x	ζ(x	NOUN
ejpam-6051	63	2	,	,	PUNCT
ejpam-6051	63	3	y	y	NOUN
ejpam-6051	63	4	)	)	PUNCT
ejpam-6051	63	5	.	.	PUNCT
ejpam-6051	64	1	(	(	PUNCT
ejpam-6051	64	2	2	2	X
ejpam-6051	64	3	)	)	PUNCT
ejpam-6051	64	4	where	where	SCONJ
ejpam-6051	64	5	,	,	PUNCT
ejpam-6051	64	6	φ̆(x	φ̆(x	NOUN
ejpam-6051	64	7	,	,	PUNCT
ejpam-6051	64	8	λ̆	λ̆	PROPN
ejpam-6051	64	9	,	,	PUNCT
ejpam-6051	64	10	t	t	PROPN
ejpam-6051	64	11	,	,	PUNCT
ejpam-6051	64	12	y	y	PROPN
ejpam-6051	64	13	)	)	PUNCT
ejpam-6051	64	14	=	=	PRON
ejpam-6051	64	15	{	{	PUNCT
ejpam-6051	64	16	φ(x	φ(x	PROPN
ejpam-6051	64	17	,	,	PUNCT
ejpam-6051	64	18	λ	λ	PROPN
ejpam-6051	64	19	,	,	PUNCT
ejpam-6051	64	20	t	t	PROPN
ejpam-6051	64	21	,	,	PUNCT
ejpam-6051	64	22	y	y	PROPN
ejpam-6051	64	23	)	)	PUNCT
ejpam-6051	64	24	,	,	PUNCT
ejpam-6051	64	25	φ(x	φ(x	PROPN
ejpam-6051	64	26	,	,	PUNCT
ejpam-6051	64	27	λ	λ	PROPN
ejpam-6051	64	28	,	,	PUNCT
ejpam-6051	64	29	t	t	PROPN
ejpam-6051	64	30	,	,	PUNCT
ejpam-6051	64	31	y	y	PROPN
ejpam-6051	64	32	)	)	PUNCT
ejpam-6051	64	33	}	}	PUNCT
ejpam-6051	64	34	,	,	PUNCT
ejpam-6051	64	35	λ	λ	X
ejpam-6051	64	36	=	=	SYM
ejpam-6051	64	37	λ−	λ−	PROPN
ejpam-6051	64	38	1	1	NUM
ejpam-6051	64	39	,	,	PUNCT
ejpam-6051	64	40	λ	λ	X
ejpam-6051	64	41	=	=	SYM
ejpam-6051	64	42	1−	1−	NUM
ejpam-6051	64	43	λ	λ	NOUN
ejpam-6051	64	44	.	.	PUNCT
ejpam-6051	65	1	λ	λ	X
ejpam-6051	65	2	∈	∈	PROPN
ejpam-6051	66	1	[	[	X
ejpam-6051	66	2	0	0	NUM
ejpam-6051	66	3	,	,	PUNCT
ejpam-6051	66	4	1	1	NUM
ejpam-6051	66	5	]	]	SYM
ejpam-6051	66	6	2	2	NUM
ejpam-6051	66	7	.	.	PUNCT
ejpam-6051	66	8	preliminaries	preliminary	NOUN
ejpam-6051	66	9	here	here	ADV
ejpam-6051	66	10	,	,	PUNCT
ejpam-6051	66	11	we	we	PRON
ejpam-6051	66	12	’ll	’ll	AUX
ejpam-6051	66	13	talk	talk	VERB
ejpam-6051	66	14	about	about	ADP
ejpam-6051	66	15	several	several	ADJ
ejpam-6051	66	16	fundamental	fundamental	ADJ
ejpam-6051	66	17	findings	finding	NOUN
ejpam-6051	66	18	that	that	PRON
ejpam-6051	66	19	were	be	AUX
ejpam-6051	66	20	employed	employ	VERB
ejpam-6051	66	21	in	in	ADP
ejpam-6051	66	22	this	this	DET
ejpam-6051	66	23	research	research	NOUN
ejpam-6051	66	24	.	.	PUNCT
ejpam-6051	67	1	definition	definition	NOUN
ejpam-6051	67	2	1	1	NUM
ejpam-6051	67	3	.	.	PUNCT
ejpam-6051	68	1	[	[	X
ejpam-6051	68	2	21	21	NUM
ejpam-6051	68	3	]	]	X
ejpam-6051	68	4	a	a	DET
ejpam-6051	68	5	fuzzy	fuzzy	ADJ
ejpam-6051	68	6	set	set	NOUN
ejpam-6051	68	7	(	(	PUNCT
ejpam-6051	68	8	which	which	PRON
ejpam-6051	68	9	is	be	AUX
ejpam-6051	68	10	a	a	DET
ejpam-6051	68	11	class	class	NOUN
ejpam-6051	68	12	of	of	ADP
ejpam-6051	68	13	objects	object	NOUN
ejpam-6051	68	14	)	)	PUNCT
ejpam-6051	68	15	“	"	PUNCT
ejpam-6051	68	16	m	m	PROPN
ejpam-6051	68	17	=	=	SYM
ejpam-6051	68	18	{	{	PUNCT
ejpam-6051	68	19	(	(	PUNCT
ejpam-6051	68	20	x	x	NOUN
ejpam-6051	68	21	,	,	PUNCT
ejpam-6051	68	22	µm(x	µm(x	NUM
ejpam-6051	68	23	)	)	PUNCT
ejpam-6051	68	24	)	)	PUNCT
ejpam-6051	68	25	,	,	PUNCT
ejpam-6051	68	26	x	x	PUNCT
ejpam-6051	68	27	∈	∈	NOUN
ejpam-6051	68	28	r	r	NOUN
ejpam-6051	68	29	}	}	PUNCT
ejpam-6051	68	30	”	"	PUNCT
ejpam-6051	68	31	,	,	PUNCT
ejpam-6051	68	32	where	where	SCONJ
ejpam-6051	68	33	µ(x	µ(x	VERB
ejpam-6051	68	34	)	)	PUNCT
ejpam-6051	68	35	is	be	AUX
ejpam-6051	68	36	the	the	DET
ejpam-6051	68	37	grade	grade	NOUN
ejpam-6051	68	38	of	of	ADP
ejpam-6051	68	39	membership	membership	NOUN
ejpam-6051	68	40	function	function	NOUN
ejpam-6051	68	41	whose	whose	DET
ejpam-6051	68	42	range	range	NOUN
ejpam-6051	68	43	is	be	AUX
ejpam-6051	68	44	between	between	ADP
ejpam-6051	68	45	0	0	NUM
ejpam-6051	68	46	and	and	CCONJ
ejpam-6051	68	47	1	1	NUM
ejpam-6051	68	48	,	,	PUNCT
ejpam-6051	68	49	i.e.	i.e.	X
ejpam-6051	68	50	,	,	PUNCT
ejpam-6051	68	51	(	(	PUNCT
ejpam-6051	68	52	µ(x	µ(x	X
ejpam-6051	68	53	)	)	PUNCT
ejpam-6051	68	54	:	:	PUNCT
ejpam-6051	69	1	r	r	X
ejpam-6051	69	2	→	→	SYM
ejpam-6051	69	3	[	[	X
ejpam-6051	69	4	0	0	NUM
ejpam-6051	69	5	,	,	PUNCT
ejpam-6051	69	6	1	1	NUM
ejpam-6051	69	7	]	]	PUNCT
ejpam-6051	69	8	)	)	PUNCT
ejpam-6051	69	9	is	be	AUX
ejpam-6051	69	10	said	say	VERB
ejpam-6051	69	11	to	to	PART
ejpam-6051	69	12	be	be	AUX
ejpam-6051	69	13	a	a	DET
ejpam-6051	69	14	(	(	PUNCT
ejpam-6051	69	15	fuzzy	fuzzy	ADJ
ejpam-6051	69	16	number	number	NOUN
ejpam-6051	69	17	)	)	PUNCT
ejpam-6051	69	18	if	if	SCONJ
ejpam-6051	69	19	,	,	PUNCT
ejpam-6051	69	20	this	this	DET
ejpam-6051	69	21	fuzzy	fuzzy	ADJ
ejpam-6051	69	22	set	set	NOUN
ejpam-6051	69	23	satisfy	satisfy	VERB
ejpam-6051	69	24	some	some	DET
ejpam-6051	69	25	conditions	condition	NOUN
ejpam-6051	69	26	such	such	ADJ
ejpam-6051	69	27	as	as	ADP
ejpam-6051	69	28	;	;	PUNCT
ejpam-6051	69	29	m	m	VERB
ejpam-6051	69	30	is	be	AUX
ejpam-6051	69	31	normal	normal	ADJ
ejpam-6051	69	32	,	,	PUNCT
ejpam-6051	69	33	fuzzy	fuzzy	ADJ
ejpam-6051	69	34	convex	convex	NOUN
ejpam-6051	69	35	,	,	PUNCT
ejpam-6051	69	36	continuous	continuous	ADJ
ejpam-6051	69	37	(	(	PUNCT
ejpam-6051	69	38	upper	upper	ADJ
ejpam-6051	69	39	and	and	CCONJ
ejpam-6051	69	40	lower	low	ADJ
ejpam-6051	69	41	)	)	PUNCT
ejpam-6051	69	42	and	and	CCONJ
ejpam-6051	69	43	the	the	DET
ejpam-6051	69	44	closure	closure	NOUN
ejpam-6051	69	45	of	of	ADP
ejpam-6051	69	46	the	the	DET
ejpam-6051	69	47	set	set	NOUN
ejpam-6051	69	48	is	be	AUX
ejpam-6051	69	49	compact	compact	ADJ
ejpam-6051	69	50	set	set	NOUN
ejpam-6051	69	51	.	.	PUNCT
ejpam-6051	70	1	definition	definition	NOUN
ejpam-6051	70	2	2	2	NUM
ejpam-6051	70	3	.	.	PUNCT
ejpam-6051	71	1	[	[	X
ejpam-6051	71	2	21	21	NUM
ejpam-6051	71	3	]	]	PUNCT
ejpam-6051	71	4	consider	consider	VERB
ejpam-6051	71	5	the	the	DET
ejpam-6051	71	6	fuzzy	fuzzy	ADJ
ejpam-6051	71	7	valued	value	VERB
ejpam-6051	71	8	function	function	NOUN
ejpam-6051	71	9	φ(x	φ(x	PROPN
ejpam-6051	71	10	)	)	PUNCT
ejpam-6051	71	11	,	,	PUNCT
ejpam-6051	71	12	then	then	ADV
ejpam-6051	71	13	the	the	DET
ejpam-6051	71	14	riemann	riemann	PROPN
ejpam-6051	71	15	-	-	PUNCT
ejpam-6051	71	16	liouville	liouville	PROPN
ejpam-6051	71	17	(	(	PUNCT
ejpam-6051	71	18	rl	rl	NOUN
ejpam-6051	71	19	)	)	PUNCT
ejpam-6051	71	20	fuzzy	fuzzy	ADJ
ejpam-6051	71	21	fractional	fractional	ADJ
ejpam-6051	71	22	order	order	NOUN
ejpam-6051	71	23	derivative	derivative	NOUN
ejpam-6051	71	24	is	be	AUX
ejpam-6051	71	25	defined	define	VERB
ejpam-6051	71	26	as	as	ADP
ejpam-6051	71	27	below	below	ADV
ejpam-6051	71	28	;	;	PUNCT
ejpam-6051	72	1	m.	m.	PROPN
ejpam-6051	72	2	usman	usman	PROPN
ejpam-6051	72	3	et	et	PROPN
ejpam-6051	72	4	al	al	PROPN
ejpam-6051	72	5	.	.	PUNCT
ejpam-6051	72	6	/	/	SYM
ejpam-6051	72	7	eur	eur	PROPN
ejpam-6051	72	8	.	.	PUNCT
ejpam-6051	73	1	j.	j.	PROPN
ejpam-6051	73	2	pure	pure	PROPN
ejpam-6051	73	3	appl	appl	PROPN
ejpam-6051	73	4	.	.	PROPN
ejpam-6051	73	5	math	math	PROPN
ejpam-6051	73	6	,	,	PUNCT
ejpam-6051	73	7	18	18	NUM
ejpam-6051	73	8	(	(	PUNCT
ejpam-6051	73	9	2	2	NUM
ejpam-6051	73	10	)	)	PUNCT
ejpam-6051	73	11	(	(	PUNCT
ejpam-6051	73	12	2025	2025	NUM
ejpam-6051	73	13	)	)	PUNCT
ejpam-6051	73	14	,	,	PUNCT
ejpam-6051	73	15	6051	6051	NUM
ejpam-6051	73	16	4	4	NUM
ejpam-6051	73	17	of	of	ADP
ejpam-6051	73	18	10	10	NUM
ejpam-6051	73	19	dβ	dβ	ADJ
ejpam-6051	73	20	rlφ(x	rlφ(x	PROPN
ejpam-6051	73	21	)	)	PUNCT
ejpam-6051	73	22	=	=	PRON
ejpam-6051	73	23	{	{	PUNCT
ejpam-6051	73	24	1	1	NUM
ejpam-6051	73	25	γ(m−β	γ(m−β	PROPN
ejpam-6051	73	26	)	)	PUNCT
ejpam-6051	73	27	⊙	⊙	NOUN
ejpam-6051	74	1	(	(	PUNCT
ejpam-6051	74	2	d	d	PROPN
ejpam-6051	74	3	dx	dx	PROPN
ejpam-6051	74	4	)	)	PUNCT
ejpam-6051	74	5	m	m	VERB
ejpam-6051	75	1	∫	∫	PROPN
ejpam-6051	75	2	x	x	SYM
ejpam-6051	75	3	t0	t0	PROPN
ejpam-6051	75	4	(	(	PUNCT
ejpam-6051	75	5	x−	x−	PROPN
ejpam-6051	75	6	t)m−β−1	t)m−β−1	PROPN
ejpam-6051	75	7	⊙	⊙	PROPN
ejpam-6051	75	8	φ(t)dt	φ(t)dt	PROPN
ejpam-6051	75	9	,	,	PUNCT
ejpam-6051	75	10	m−	m−	PROPN
ejpam-6051	75	11	1	1	NUM
ejpam-6051	75	12	<	<	X
ejpam-6051	75	13	β	β	X
ejpam-6051	75	14	<	<	X
ejpam-6051	75	15	m	m	VERB
ejpam-6051	75	16	(	(	PUNCT
ejpam-6051	75	17	d	d	PROPN
ejpam-6051	75	18	dx	dx	PROPN
ejpam-6051	75	19	)	)	PUNCT
ejpam-6051	75	20	m−1φ(t	m−1φ(t	PROPN
ejpam-6051	75	21	)	)	PUNCT
ejpam-6051	75	22	,	,	PUNCT
ejpam-6051	75	23	β	β	X
ejpam-6051	75	24	=	=	PUNCT
ejpam-6051	75	25	m−	m−	PROPN
ejpam-6051	75	26	1	1	NUM
ejpam-6051	75	27	(	(	PUNCT
ejpam-6051	75	28	3	3	NUM
ejpam-6051	75	29	)	)	PUNCT
ejpam-6051	75	30	in	in	ADP
ejpam-6051	75	31	addition	addition	NOUN
ejpam-6051	75	32	,	,	PUNCT
ejpam-6051	75	33	for	for	ADP
ejpam-6051	75	34	x	x	PROPN
ejpam-6051	75	35	∈	∈	PROPN
ejpam-6051	75	36	[	[	X
ejpam-6051	75	37	t0	t0	PROPN
ejpam-6051	75	38	,	,	PUNCT
ejpam-6051	75	39	t	t	X
ejpam-6051	75	40	]	]	PUNCT
ejpam-6051	75	41	.	.	PUNCT
ejpam-6051	76	1	the	the	DET
ejpam-6051	76	2	above	above	ADJ
ejpam-6051	76	3	derivatives	derivative	NOUN
ejpam-6051	76	4	(	(	PUNCT
ejpam-6051	76	5	fractional	fractional	ADJ
ejpam-6051	76	6	derivative	derivative	NOUN
ejpam-6051	76	7	)	)	PUNCT
ejpam-6051	76	8	is	be	AUX
ejpam-6051	76	9	defined	define	VERB
ejpam-6051	76	10	in	in	ADP
ejpam-6051	76	11	terms	term	NOUN
ejpam-6051	76	12	of	of	ADP
ejpam-6051	76	13	a	a	DET
ejpam-6051	76	14	fractional	fractional	ADJ
ejpam-6051	76	15	integral	integral	ADJ
ejpam-6051	76	16	(	(	PUNCT
ejpam-6051	76	17	instead	instead	ADV
ejpam-6051	76	18	)	)	PUNCT
ejpam-6051	76	19	of	of	ADP
ejpam-6051	76	20	an	an	DET
ejpam-6051	76	21	integer	integer	NOUN
ejpam-6051	76	22	integral	integral	NOUN
ejpam-6051	76	23	.	.	PUNCT
ejpam-6051	77	1	definition	definition	NOUN
ejpam-6051	77	2	3	3	NUM
ejpam-6051	77	3	.	.	PUNCT
ejpam-6051	78	1	[	[	X
ejpam-6051	78	2	21	21	NUM
ejpam-6051	78	3	]	]	PUNCT
ejpam-6051	78	4	in	in	ADP
ejpam-6051	78	5	the	the	DET
ejpam-6051	78	6	above	above	ADJ
ejpam-6051	78	7	riemann	riemann	PROPN
ejpam-6051	78	8	-	-	PUNCT
ejpam-6051	78	9	liouville	liouville	PROPN
ejpam-6051	78	10	(	(	PUNCT
ejpam-6051	78	11	rl	rl	NOUN
ejpam-6051	78	12	)	)	PUNCT
ejpam-6051	78	13	fuzzy	fuzzy	ADJ
ejpam-6051	78	14	fractional	fractional	ADJ
ejpam-6051	78	15	order	order	NOUN
ejpam-6051	78	16	derivative	derivative	NOUN
ejpam-6051	78	17	,	,	PUNCT
ejpam-6051	78	18	if	if	SCONJ
ejpam-6051	78	19	the	the	DET
ejpam-6051	78	20	integer	integer	NOUN
ejpam-6051	78	21	(	(	PUNCT
ejpam-6051	78	22	classical	classical	ADJ
ejpam-6051	78	23	)	)	PUNCT
ejpam-6051	78	24	order	order	NOUN
ejpam-6051	78	25	of	of	ADP
ejpam-6051	78	26	the	the	DET
ejpam-6051	78	27	derivative	derivative	NOUN
ejpam-6051	78	28	is	be	AUX
ejpam-6051	78	29	an	an	DET
ejpam-6051	78	30	operator(s	operator(s	NOUN
ejpam-6051	78	31	)	)	PUNCT
ejpam-6051	78	32	inside	inside	ADP
ejpam-6051	78	33	of	of	ADP
ejpam-6051	78	34	the	the	DET
ejpam-6051	78	35	integral	integral	ADJ
ejpam-6051	78	36	and	and	CCONJ
ejpam-6051	78	37	operating	operate	VERB
ejpam-6051	78	38	on	on	ADP
ejpam-6051	78	39	operand(s	operand(s	NUM
ejpam-6051	78	40	)	)	PUNCT
ejpam-6051	78	41	function	function	NOUN
ejpam-6051	78	42	φ(x	φ(x	NOUN
ejpam-6051	78	43	)	)	PUNCT
ejpam-6051	78	44	∈	∈	PROPN
ejpam-6051	78	45	fr	fr	NOUN
ejpam-6051	78	46	,	,	PUNCT
ejpam-6051	78	47	t	t	PROPN
ejpam-6051	78	48	∈	∈	PROPN
ejpam-6051	78	49	[	[	X
ejpam-6051	78	50	t0	t0	PROPN
ejpam-6051	78	51	,	,	PUNCT
ejpam-6051	78	52	t	t	X
ejpam-6051	78	53	]	]	PUNCT
ejpam-6051	78	54	dβ	dβ	ADP
ejpam-6051	78	55	cgh	cgh	PROPN
ejpam-6051	78	56	φ(x	φ(x	X
ejpam-6051	78	57	)	)	PUNCT
ejpam-6051	79	1	=	=	PRON
ejpam-6051	79	2	{	{	PUNCT
ejpam-6051	79	3	1	1	NUM
ejpam-6051	79	4	γ(m−β	γ(m−β	PROPN
ejpam-6051	79	5	)	)	PUNCT
ejpam-6051	79	6	⊙	⊙	PROPN
ejpam-6051	79	7	∫	∫	PROPN
ejpam-6051	79	8	x	x	SYM
ejpam-6051	79	9	t0	t0	PROPN
ejpam-6051	79	10	(	(	PUNCT
ejpam-6051	79	11	x−	x−	PROPN
ejpam-6051	79	12	t)m−β−1	t)m−β−1	PROPN
ejpam-6051	79	13	⊙	⊙	PROPN
ejpam-6051	79	14	φm(t)dt	φm(t)dt	NOUN
ejpam-6051	79	15	,	,	PUNCT
ejpam-6051	79	16	m−	m−	PROPN
ejpam-6051	79	17	1	1	NUM
ejpam-6051	79	18	<	<	X
ejpam-6051	79	19	β	β	X
ejpam-6051	79	20	<	<	X
ejpam-6051	79	21	m	m	VERB
ejpam-6051	79	22	(	(	PUNCT
ejpam-6051	79	23	d	d	PROPN
ejpam-6051	79	24	dx	dx	PROPN
ejpam-6051	79	25	)	)	PUNCT
ejpam-6051	79	26	m−1φ(t	m−1φ(t	PROPN
ejpam-6051	79	27	)	)	PUNCT
ejpam-6051	79	28	,	,	PUNCT
ejpam-6051	79	29	β	β	X
ejpam-6051	79	30	=	=	PUNCT
ejpam-6051	79	31	m−	m−	PROPN
ejpam-6051	79	32	1	1	NUM
ejpam-6051	79	33	(	(	PUNCT
ejpam-6051	79	34	4	4	NUM
ejpam-6051	79	35	)	)	PUNCT
ejpam-6051	79	36	definition	definition	NOUN
ejpam-6051	79	37	4	4	NUM
ejpam-6051	79	38	.	.	PUNCT
ejpam-6051	80	1	[	[	X
ejpam-6051	80	2	21	21	NUM
ejpam-6051	80	3	]	]	X
ejpam-6051	80	4	mittage	mittage	NOUN
ejpam-6051	80	5	-	-	PUNCT
ejpam-6051	80	6	leffler	leffler	NOUN
ejpam-6051	80	7	function	function	NOUN
ejpam-6051	80	8	eβ(φ	eβ(φ	PROPN
ejpam-6051	80	9	)	)	PUNCT
ejpam-6051	80	10	is	be	AUX
ejpam-6051	80	11	defined	define	VERB
ejpam-6051	80	12	as	as	ADP
ejpam-6051	80	13	follows	follow	NOUN
ejpam-6051	80	14	,	,	PUNCT
ejpam-6051	80	15	eβ(φ	eβ(φ	ADJ
ejpam-6051	80	16	)	)	PUNCT
ejpam-6051	80	17	=	=	PUNCT
ejpam-6051	81	1	∞∑	∞∑	PROPN
ejpam-6051	81	2	n=0	n=0	NUM
ejpam-6051	81	3	φn	φn	ADP
ejpam-6051	81	4	γ(nβ	γ(nβ	NOUN
ejpam-6051	81	5	+	+	CCONJ
ejpam-6051	81	6	1	1	NUM
ejpam-6051	81	7	)	)	PUNCT
ejpam-6051	81	8	.	.	PUNCT
ejpam-6051	82	1	definition	definition	NOUN
ejpam-6051	82	2	5	5	NUM
ejpam-6051	82	3	.	.	PUNCT
ejpam-6051	83	1	[	[	X
ejpam-6051	83	2	22	22	NUM
ejpam-6051	83	3	]	]	X
ejpam-6051	83	4	natural	natural	ADJ
ejpam-6051	83	5	transform	transform	NOUN
ejpam-6051	83	6	for	for	ADP
ejpam-6051	83	7	a	a	DET
ejpam-6051	83	8	fuzzy	fuzzy	ADJ
ejpam-6051	83	9	function(s	function(s	NOUN
ejpam-6051	83	10	)	)	PUNCT
ejpam-6051	83	11	“	"	PUNCT
ejpam-6051	83	12	φ(x	φ(x	PROPN
ejpam-6051	83	13	,	,	PUNCT
ejpam-6051	83	14	t	t	PROPN
ejpam-6051	83	15	)	)	PUNCT
ejpam-6051	83	16	”	"	PUNCT
ejpam-6051	83	17	is	be	AUX
ejpam-6051	83	18	defined	define	VERB
ejpam-6051	83	19	as	as	ADP
ejpam-6051	83	20	,	,	PUNCT
ejpam-6051	83	21	r(v	r(v	PROPN
ejpam-6051	83	22	,	,	PUNCT
ejpam-6051	83	23	s	s	PART
ejpam-6051	83	24	)	)	PUNCT
ejpam-6051	83	25	=	=	SYM
ejpam-6051	84	1	n	n	PROPN
ejpam-6051	85	1	[	[	X
ejpam-6051	85	2	φ(x	φ(x	PROPN
ejpam-6051	85	3	,	,	PUNCT
ejpam-6051	85	4	t	t	PROPN
ejpam-6051	85	5	)	)	PUNCT
ejpam-6051	85	6	]	]	PUNCT
ejpam-6051	86	1	=	=	PUNCT
ejpam-6051	86	2	∫	∫	PROPN
ejpam-6051	86	3	∞	∞	NUM
ejpam-6051	86	4	0	0	NUM
ejpam-6051	86	5	(	(	PUNCT
ejpam-6051	86	6	e)−st	e)−st	X
ejpam-6051	86	7	⊙	⊙	X
ejpam-6051	86	8	φ(x	φ(x	PROPN
ejpam-6051	86	9	,	,	PUNCT
ejpam-6051	86	10	vt)dt	vt)dt	PROPN
ejpam-6051	86	11	,	,	PUNCT
ejpam-6051	86	12	t	t	X
ejpam-6051	86	13	>	>	X
ejpam-6051	86	14	0	0	X
ejpam-6051	86	15	.	.	PUNCT
ejpam-6051	87	1	definition	definition	NOUN
ejpam-6051	87	2	6	6	NUM
ejpam-6051	87	3	.	.	PUNCT
ejpam-6051	88	1	[	[	X
ejpam-6051	88	2	23	23	NUM
ejpam-6051	88	3	]	]	PUNCT
ejpam-6051	88	4	in	in	ADP
ejpam-6051	88	5	the	the	DET
ejpam-6051	88	6	adomian	adomian	NOUN
ejpam-6051	88	7	decomposition	decomposition	NOUN
ejpam-6051	88	8	method	method	VERB
ejpam-6051	88	9	the	the	DET
ejpam-6051	88	10	fuzzy	fuzzy	ADJ
ejpam-6051	88	11	function(s	function(s	PROPN
ejpam-6051	88	12	)	)	PUNCT
ejpam-6051	88	13	“	"	PUNCT
ejpam-6051	88	14	φ(x	φ(x	PROPN
ejpam-6051	88	15	,	,	PUNCT
ejpam-6051	88	16	t	t	PROPN
ejpam-6051	88	17	)	)	PUNCT
ejpam-6051	88	18	”	"	PUNCT
ejpam-6051	88	19	can	can	AUX
ejpam-6051	88	20	be	be	AUX
ejpam-6051	88	21	shown	show	VERB
ejpam-6051	88	22	in	in	ADP
ejpam-6051	88	23	infinite	infinite	ADJ
ejpam-6051	88	24	series	series	NOUN
ejpam-6051	88	25	form	form	NOUN
ejpam-6051	88	26	as	as	ADP
ejpam-6051	88	27	,	,	PUNCT
ejpam-6051	88	28	φ(x	φ(x	PROPN
ejpam-6051	88	29	,	,	PUNCT
ejpam-6051	88	30	t	t	PROPN
ejpam-6051	88	31	)	)	PUNCT
ejpam-6051	88	32	=	=	PUNCT
ejpam-6051	89	1	∞∑	∞∑	NUM
ejpam-6051	89	2	i=0	i=0	PROPN
ejpam-6051	89	3	φi(x	φi(x	NUM
ejpam-6051	89	4	,	,	PUNCT
ejpam-6051	89	5	t	t	PROPN
ejpam-6051	89	6	)	)	PUNCT
ejpam-6051	89	7	.	.	PUNCT
ejpam-6051	90	1	3	3	X
ejpam-6051	90	2	.	.	X
ejpam-6051	90	3	mathematical	mathematical	ADJ
ejpam-6051	90	4	formulation	formulation	NOUN
ejpam-6051	90	5	of	of	ADP
ejpam-6051	90	6	the	the	DET
ejpam-6051	90	7	model	model	NOUN
ejpam-6051	90	8	in	in	ADP
ejpam-6051	90	9	this	this	DET
ejpam-6051	90	10	section	section	NOUN
ejpam-6051	90	11	we	we	PRON
ejpam-6051	90	12	will	will	AUX
ejpam-6051	90	13	show	show	VERB
ejpam-6051	90	14	a	a	DET
ejpam-6051	90	15	general	general	ADJ
ejpam-6051	90	16	algorithm	algorithm	NOUN
ejpam-6051	90	17	for	for	ADP
ejpam-6051	90	18	the	the	DET
ejpam-6051	90	19	analytical	analytical	ADJ
ejpam-6051	90	20	solution(s	solution(s	NOUN
ejpam-6051	90	21	)	)	PUNCT
ejpam-6051	90	22	of	of	ADP
ejpam-6051	90	23	parametric	parametric	ADJ
ejpam-6051	90	24	form	form	NOUN
ejpam-6051	90	25	of	of	ADP
ejpam-6051	90	26	2d	2d	NUM
ejpam-6051	90	27	heat	heat	NOUN
ejpam-6051	90	28	equation	equation	NOUN
ejpam-6051	90	29	as	as	SCONJ
ejpam-6051	90	30	shown	show	VERB
ejpam-6051	90	31	in	in	ADP
ejpam-6051	90	32	eq.(2	eq.(2	ADJ
ejpam-6051	90	33	)	)	PUNCT
ejpam-6051	90	34	.	.	PUNCT
ejpam-6051	91	1	now	now	ADV
ejpam-6051	91	2	,	,	PUNCT
ejpam-6051	91	3	utilizing	utilize	VERB
ejpam-6051	91	4	our	our	PRON
ejpam-6051	91	5	suggested	suggest	VERB
ejpam-6051	91	6	strategy	strategy	NOUN
ejpam-6051	91	7	,	,	PUNCT
ejpam-6051	91	8	i	i	PROPN
ejpam-6051	91	9	-	-	PUNCT
ejpam-6051	91	10	e	e	PROPN
ejpam-6051	91	11	,	,	PUNCT
ejpam-6051	91	12	applying	apply	VERB
ejpam-6051	91	13	nt	not	PART
ejpam-6051	91	14	to	to	ADP
ejpam-6051	91	15	both	both	DET
ejpam-6051	91	16	sides	side	NOUN
ejpam-6051	91	17	of	of	ADP
ejpam-6051	91	18	eq	eq	PROPN
ejpam-6051	91	19	.	.	PUNCT
ejpam-6051	92	1	(	(	PUNCT
ejpam-6051	92	2	2	2	X
ejpam-6051	92	3	)	)	PUNCT
ejpam-6051	92	4	we	we	PRON
ejpam-6051	92	5	have	have	VERB
ejpam-6051	92	6	,	,	PUNCT
ejpam-6051	92	7	n	n	CCONJ
ejpam-6051	92	8	(	(	PUNCT
ejpam-6051	92	9	∂β	∂β	PROPN
ejpam-6051	92	10	∂tβ	∂tβ	PROPN
ejpam-6051	92	11	φ̆(x	φ̆(x	NOUN
ejpam-6051	92	12	,	,	PUNCT
ejpam-6051	92	13	λ̆	λ̆	PROPN
ejpam-6051	92	14	,	,	PUNCT
ejpam-6051	92	15	t	t	PROPN
ejpam-6051	92	16	,	,	PUNCT
ejpam-6051	92	17	y	y	PROPN
ejpam-6051	92	18	)	)	PUNCT
ejpam-6051	92	19	)	)	PUNCT
ejpam-6051	93	1	=	=	SYM
ejpam-6051	94	1	n	n	CCONJ
ejpam-6051	94	2	(	(	PUNCT
ejpam-6051	94	3	∂2	∂2	NUM
ejpam-6051	94	4	∂x2	∂x2	NOUN
ejpam-6051	94	5	φ̆(x	φ̆(x	NOUN
ejpam-6051	94	6	,	,	PUNCT
ejpam-6051	94	7	λ̆	λ̆	PROPN
ejpam-6051	94	8	,	,	PUNCT
ejpam-6051	94	9	t	t	PROPN
ejpam-6051	94	10	,	,	PUNCT
ejpam-6051	94	11	y	y	PROPN
ejpam-6051	94	12	)	)	PUNCT
ejpam-6051	95	1	+	+	CCONJ
ejpam-6051	95	2	∂2	∂2	ADJ
ejpam-6051	95	3	∂y2	∂y2	NOUN
ejpam-6051	95	4	φ̆(x	φ̆(x	NOUN
ejpam-6051	95	5	,	,	PUNCT
ejpam-6051	95	6	λ̆	λ̆	PROPN
ejpam-6051	95	7	,	,	PUNCT
ejpam-6051	95	8	t	t	PROPN
ejpam-6051	95	9	,	,	PUNCT
ejpam-6051	95	10	y	y	PROPN
ejpam-6051	95	11	)	)	PUNCT
ejpam-6051	96	1	+	+	CCONJ
ejpam-6051	96	2	ϕ̆(x	ϕ̆(x	PROPN
ejpam-6051	96	3	,	,	PUNCT
ejpam-6051	96	4	λ̆	λ̆	PROPN
ejpam-6051	96	5	,	,	PUNCT
ejpam-6051	96	6	t	t	PROPN
ejpam-6051	96	7	,	,	PUNCT
ejpam-6051	96	8	y	y	PROPN
ejpam-6051	96	9	)	)	PUNCT
ejpam-6051	96	10	)	)	PUNCT
ejpam-6051	96	11	.	.	PUNCT
ejpam-6051	97	1	(	(	PUNCT
ejpam-6051	97	2	5	5	X
ejpam-6051	97	3	)	)	PUNCT
ejpam-6051	97	4	sβ	sβ	NOUN
ejpam-6051	97	5	φβ	φβ	PROPN
ejpam-6051	97	6	n	n	PROPN
ejpam-6051	97	7	(	(	PUNCT
ejpam-6051	97	8	φ̆(x	φ̆(x	NOUN
ejpam-6051	97	9	,	,	PUNCT
ejpam-6051	97	10	λ̆	λ̆	PROPN
ejpam-6051	97	11	,	,	PUNCT
ejpam-6051	97	12	t	t	PROPN
ejpam-6051	97	13	,	,	PUNCT
ejpam-6051	97	14	y	y	PROPN
ejpam-6051	97	15	)	)	PUNCT
ejpam-6051	97	16	)	)	PUNCT
ejpam-6051	98	1	−	−	PROPN
ejpam-6051	99	1	β−1∑	β−1∑	PUNCT
ejpam-6051	99	2	i=0	i=0	PROPN
ejpam-6051	99	3	sβ−i−1	sβ−i−1	PROPN
ejpam-6051	99	4	φβ−i	φβ−i	PROPN
ejpam-6051	99	5	φ̆i(0	φ̆i(0	NOUN
ejpam-6051	99	6	,	,	PUNCT
ejpam-6051	99	7	x	x	NOUN
ejpam-6051	99	8	,	,	PUNCT
ejpam-6051	99	9	y	y	NOUN
ejpam-6051	99	10	)	)	PUNCT
ejpam-6051	99	11	=	=	SYM
ejpam-6051	100	1	n	n	CCONJ
ejpam-6051	100	2	(	(	PUNCT
ejpam-6051	100	3	∂2	∂2	NUM
ejpam-6051	100	4	∂x2	∂x2	NOUN
ejpam-6051	100	5	φ̆(x	φ̆(x	NOUN
ejpam-6051	100	6	,	,	PUNCT
ejpam-6051	100	7	λ̆	λ̆	PROPN
ejpam-6051	100	8	,	,	PUNCT
ejpam-6051	100	9	t	t	PROPN
ejpam-6051	100	10	,	,	PUNCT
ejpam-6051	100	11	y)+	y)+	NOUN
ejpam-6051	100	12	∂2	∂2	NOUN
ejpam-6051	100	13	∂y2	∂y2	NOUN
ejpam-6051	100	14	φ̆(x	φ̆(x	NOUN
ejpam-6051	100	15	,	,	PUNCT
ejpam-6051	100	16	λ̆	λ̆	PROPN
ejpam-6051	100	17	,	,	PUNCT
ejpam-6051	100	18	t	t	PROPN
ejpam-6051	100	19	,	,	PUNCT
ejpam-6051	100	20	y)+ϕ̆(x	y)+ϕ̆(x	NUM
ejpam-6051	100	21	,	,	PUNCT
ejpam-6051	100	22	λ̆	λ̆	PROPN
ejpam-6051	100	23	,	,	PUNCT
ejpam-6051	100	24	t	t	PROPN
ejpam-6051	100	25	,	,	PUNCT
ejpam-6051	100	26	y	y	PROPN
ejpam-6051	100	27	)	)	PUNCT
ejpam-6051	100	28	)	)	PUNCT
ejpam-6051	100	29	.	.	PUNCT
ejpam-6051	101	1	(	(	PUNCT
ejpam-6051	101	2	6	6	X
ejpam-6051	101	3	)	)	PUNCT
ejpam-6051	101	4	m.	m.	NOUN
ejpam-6051	101	5	usman	usman	PROPN
ejpam-6051	101	6	et	et	PROPN
ejpam-6051	101	7	al	al	PROPN
ejpam-6051	101	8	.	.	PUNCT
ejpam-6051	101	9	/	/	SYM
ejpam-6051	101	10	eur	eur	PROPN
ejpam-6051	101	11	.	.	PUNCT
ejpam-6051	102	1	j.	j.	PROPN
ejpam-6051	102	2	pure	pure	PROPN
ejpam-6051	102	3	appl	appl	PROPN
ejpam-6051	102	4	.	.	PROPN
ejpam-6051	102	5	math	math	PROPN
ejpam-6051	102	6	,	,	PUNCT
ejpam-6051	102	7	18	18	NUM
ejpam-6051	102	8	(	(	PUNCT
ejpam-6051	102	9	2	2	NUM
ejpam-6051	102	10	)	)	PUNCT
ejpam-6051	102	11	(	(	PUNCT
ejpam-6051	102	12	2025	2025	NUM
ejpam-6051	102	13	)	)	PUNCT
ejpam-6051	102	14	,	,	PUNCT
ejpam-6051	102	15	6051	6051	NUM
ejpam-6051	102	16	5	5	NUM
ejpam-6051	102	17	of	of	ADP
ejpam-6051	102	18	10	10	NUM
ejpam-6051	102	19	n	n	CCONJ
ejpam-6051	102	20	(	(	PUNCT
ejpam-6051	102	21	φ̆(x	φ̆(x	NOUN
ejpam-6051	102	22	,	,	PUNCT
ejpam-6051	102	23	λ̆	λ̆	PROPN
ejpam-6051	102	24	,	,	PUNCT
ejpam-6051	102	25	t	t	PROPN
ejpam-6051	102	26	,	,	PUNCT
ejpam-6051	102	27	y	y	PROPN
ejpam-6051	102	28	)	)	PUNCT
ejpam-6051	102	29	)	)	PUNCT
ejpam-6051	103	1	=	=	PUNCT
ejpam-6051	103	2	1	1	NUM
ejpam-6051	103	3	s	s	NOUN
ejpam-6051	103	4	ζ̆(x	ζ̆(x	NOUN
ejpam-6051	103	5	,	,	PUNCT
ejpam-6051	103	6	y)+	y)+	NOUN
ejpam-6051	103	7	φβ	φβ	NOUN
ejpam-6051	103	8	sβ	sβ	PROPN
ejpam-6051	103	9	n	n	PROPN
ejpam-6051	103	10	(	(	PUNCT
ejpam-6051	103	11	∂2	∂2	PROPN
ejpam-6051	103	12	∂x2	∂x2	NOUN
ejpam-6051	103	13	φ̆(x	φ̆(x	NOUN
ejpam-6051	103	14	,	,	PUNCT
ejpam-6051	103	15	λ̆	λ̆	PROPN
ejpam-6051	103	16	,	,	PUNCT
ejpam-6051	103	17	t	t	PROPN
ejpam-6051	103	18	,	,	PUNCT
ejpam-6051	103	19	y)+	y)+	NOUN
ejpam-6051	103	20	∂2	∂2	NOUN
ejpam-6051	103	21	∂y2	∂y2	NOUN
ejpam-6051	103	22	φ̆(x	φ̆(x	NOUN
ejpam-6051	103	23	,	,	PUNCT
ejpam-6051	103	24	λ̆	λ̆	PROPN
ejpam-6051	103	25	,	,	PUNCT
ejpam-6051	103	26	t	t	PROPN
ejpam-6051	103	27	,	,	PUNCT
ejpam-6051	103	28	y)+ϕ̆(x	y)+ϕ̆(x	NUM
ejpam-6051	103	29	,	,	PUNCT
ejpam-6051	103	30	λ̆	λ̆	PROPN
ejpam-6051	103	31	,	,	PUNCT
ejpam-6051	103	32	t	t	PROPN
ejpam-6051	103	33	,	,	PUNCT
ejpam-6051	103	34	y	y	PROPN
ejpam-6051	103	35	)	)	PUNCT
ejpam-6051	103	36	)	)	PUNCT
ejpam-6051	103	37	.	.	PUNCT
ejpam-6051	104	1	(	(	PUNCT
ejpam-6051	104	2	7	7	X
ejpam-6051	104	3	)	)	PUNCT
ejpam-6051	104	4	now	now	ADV
ejpam-6051	104	5	applying	apply	VERB
ejpam-6051	104	6	inverse	inverse	ADJ
ejpam-6051	104	7	natural	natural	ADJ
ejpam-6051	104	8	transform	transform	NOUN
ejpam-6051	104	9	,	,	PUNCT
ejpam-6051	104	10	we	we	PRON
ejpam-6051	104	11	have	have	VERB
ejpam-6051	104	12	,	,	PUNCT
ejpam-6051	104	13	φ̆(x	φ̆(x	NOUN
ejpam-6051	104	14	,	,	PUNCT
ejpam-6051	104	15	λ̆	λ̆	PROPN
ejpam-6051	104	16	,	,	PUNCT
ejpam-6051	104	17	t	t	PROPN
ejpam-6051	104	18	,	,	PUNCT
ejpam-6051	104	19	y	y	NOUN
ejpam-6051	104	20	)	)	PUNCT
ejpam-6051	104	21	=	=	SYM
ejpam-6051	104	22	ζ̆(x	ζ̆(x	NOUN
ejpam-6051	104	23	,	,	PUNCT
ejpam-6051	104	24	y)+n−1	y)+n−1	NOUN
ejpam-6051	104	25	(	(	PUNCT
ejpam-6051	104	26	φβ	φβ	NOUN
ejpam-6051	104	27	sβ	sβ	PROPN
ejpam-6051	104	28	n	n	PROPN
ejpam-6051	104	29	(	(	PUNCT
ejpam-6051	104	30	∂2	∂2	PROPN
ejpam-6051	104	31	∂x2	∂x2	NOUN
ejpam-6051	104	32	φ̆(x	φ̆(x	NOUN
ejpam-6051	104	33	,	,	PUNCT
ejpam-6051	104	34	λ̆	λ̆	PROPN
ejpam-6051	104	35	,	,	PUNCT
ejpam-6051	104	36	t	t	PROPN
ejpam-6051	104	37	,	,	PUNCT
ejpam-6051	104	38	y)+	y)+	NOUN
ejpam-6051	104	39	∂2	∂2	NOUN
ejpam-6051	104	40	∂y2	∂y2	NOUN
ejpam-6051	104	41	φ̆(x	φ̆(x	NOUN
ejpam-6051	104	42	,	,	PUNCT
ejpam-6051	104	43	λ̆	λ̆	PROPN
ejpam-6051	104	44	,	,	PUNCT
ejpam-6051	104	45	t	t	PROPN
ejpam-6051	104	46	,	,	PUNCT
ejpam-6051	104	47	y)+ϕ̆(x	y)+ϕ̆(x	NUM
ejpam-6051	104	48	,	,	PUNCT
ejpam-6051	104	49	λ̆	λ̆	PROPN
ejpam-6051	104	50	,	,	PUNCT
ejpam-6051	104	51	t	t	PROPN
ejpam-6051	104	52	,	,	PUNCT
ejpam-6051	104	53	y	y	PROPN
ejpam-6051	104	54	)	)	PUNCT
ejpam-6051	104	55	)	)	PUNCT
ejpam-6051	104	56	)	)	PUNCT
ejpam-6051	105	1	(	(	PUNCT
ejpam-6051	105	2	8)	8)	NUM
ejpam-6051	105	3	in	in	ADP
ejpam-6051	105	4	adomian	adomian	NOUN
ejpam-6051	105	5	decomposition	decomposition	NOUN
ejpam-6051	105	6	sense	sense	NOUN
ejpam-6051	105	7	the	the	DET
ejpam-6051	105	8	unknown	unknown	ADJ
ejpam-6051	105	9	function	function	NOUN
ejpam-6051	105	10	can	can	AUX
ejpam-6051	105	11	be	be	AUX
ejpam-6051	105	12	shown	show	VERB
ejpam-6051	105	13	in	in	ADP
ejpam-6051	105	14	infinite	infinite	ADJ
ejpam-6051	105	15	series	series	NOUN
ejpam-6051	105	16	form	form	NOUN
ejpam-6051	105	17	as	as	ADP
ejpam-6051	105	18	below	below	ADV
ejpam-6051	105	19	;	;	PUNCT
ejpam-6051	105	20	φ̆(x	φ̆(x	NOUN
ejpam-6051	105	21	,	,	PUNCT
ejpam-6051	105	22	λ̆	λ̆	PROPN
ejpam-6051	105	23	,	,	PUNCT
ejpam-6051	105	24	t	t	PROPN
ejpam-6051	105	25	,	,	PUNCT
ejpam-6051	105	26	y	y	NOUN
ejpam-6051	105	27	)	)	PUNCT
ejpam-6051	105	28	=	=	SYM
ejpam-6051	106	1	∞∑	∞∑	NUM
ejpam-6051	106	2	j=0	j=0	PROPN
ejpam-6051	106	3	φ̆j(x	φ̆j(x	PROPN
ejpam-6051	106	4	,	,	PUNCT
ejpam-6051	106	5	λ̆	λ̆	PROPN
ejpam-6051	106	6	,	,	PUNCT
ejpam-6051	106	7	t	t	PROPN
ejpam-6051	106	8	,	,	PUNCT
ejpam-6051	106	9	y	y	PROPN
ejpam-6051	106	10	)	)	PUNCT
ejpam-6051	106	11	.	.	PUNCT
ejpam-6051	107	1	(	(	PUNCT
ejpam-6051	107	2	9	9	X
ejpam-6051	107	3	)	)	PUNCT
ejpam-6051	107	4	plugging	plug	VERB
ejpam-6051	107	5	eq.(9	eq.(9	NOUN
ejpam-6051	107	6	)	)	PUNCT
ejpam-6051	107	7	in	in	ADP
ejpam-6051	107	8	eq.(8	eq.(8	ADJ
ejpam-6051	107	9	)	)	PUNCT
ejpam-6051	107	10	,	,	PUNCT
ejpam-6051	107	11	we	we	PRON
ejpam-6051	107	12	have	have	VERB
ejpam-6051	107	13	,	,	PUNCT
ejpam-6051	107	14	∞∑	∞∑	PROPN
ejpam-6051	107	15	j=0	j=0	PROPN
ejpam-6051	107	16	φ̆j(x	φ̆j(x	PROPN
ejpam-6051	107	17	,	,	PUNCT
ejpam-6051	107	18	λ̆	λ̆	PROPN
ejpam-6051	107	19	,	,	PUNCT
ejpam-6051	107	20	t	t	PROPN
ejpam-6051	107	21	,	,	PUNCT
ejpam-6051	107	22	y	y	NOUN
ejpam-6051	107	23	)	)	PUNCT
ejpam-6051	107	24	=	=	SYM
ejpam-6051	107	25	ζ̆(x	ζ̆(x	NOUN
ejpam-6051	107	26	,	,	PUNCT
ejpam-6051	107	27	y)+n−1	y)+n−1	NOUN
ejpam-6051	107	28	(	(	PUNCT
ejpam-6051	107	29	φβ	φβ	NOUN
ejpam-6051	107	30	sβ	sβ	PROPN
ejpam-6051	107	31	n	n	PROPN
ejpam-6051	107	32	(	(	PUNCT
ejpam-6051	107	33	∂2	∂2	NUM
ejpam-6051	107	34	∂x2	∂x2	NOUN
ejpam-6051	107	35	∞∑	∞∑	PROPN
ejpam-6051	107	36	j=0	j=0	PROPN
ejpam-6051	107	37	φ̆j(x	φ̆j(x	PROPN
ejpam-6051	107	38	,	,	PUNCT
ejpam-6051	107	39	λ̆	λ̆	PROPN
ejpam-6051	107	40	,	,	PUNCT
ejpam-6051	107	41	t	t	PROPN
ejpam-6051	107	42	,	,	PUNCT
ejpam-6051	107	43	y)+	y)+	NOUN
ejpam-6051	107	44	∂2	∂2	NOUN
ejpam-6051	107	45	∂y2	∂y2	NOUN
ejpam-6051	107	46	∞∑	∞∑	PROPN
ejpam-6051	107	47	j=0	j=0	PROPN
ejpam-6051	107	48	φ̆j(x	φ̆j(x	PROPN
ejpam-6051	107	49	,	,	PUNCT
ejpam-6051	107	50	λ̆	λ̆	PROPN
ejpam-6051	107	51	,	,	PUNCT
ejpam-6051	107	52	t	t	PROPN
ejpam-6051	107	53	,	,	PUNCT
ejpam-6051	107	54	y)+ϕ̆(x	y)+ϕ̆(x	NUM
ejpam-6051	107	55	,	,	PUNCT
ejpam-6051	107	56	λ̆	λ̆	PROPN
ejpam-6051	107	57	,	,	PUNCT
ejpam-6051	107	58	t	t	PROPN
ejpam-6051	107	59	,	,	PUNCT
ejpam-6051	107	60	y	y	PROPN
ejpam-6051	107	61	)	)	PUNCT
ejpam-6051	107	62	)	)	PUNCT
ejpam-6051	107	63	)	)	PUNCT
ejpam-6051	107	64	.	.	PUNCT
ejpam-6051	108	1	(	(	PUNCT
ejpam-6051	108	2	10)	10)	NUM
ejpam-6051	108	3	φ̆0(x	φ̆0(x	NOUN
ejpam-6051	108	4	,	,	PUNCT
ejpam-6051	108	5	λ̆	λ̆	PROPN
ejpam-6051	108	6	,	,	PUNCT
ejpam-6051	108	7	t	t	PROPN
ejpam-6051	108	8	,	,	PUNCT
ejpam-6051	108	9	y	y	PROPN
ejpam-6051	108	10	)	)	PUNCT
ejpam-6051	108	11	+	+	CCONJ
ejpam-6051	108	12	φ̆1(x	φ̆1(x	PROPN
ejpam-6051	108	13	,	,	PUNCT
ejpam-6051	108	14	λ̆	λ̆	PROPN
ejpam-6051	108	15	,	,	PUNCT
ejpam-6051	108	16	t	t	PROPN
ejpam-6051	108	17	,	,	PUNCT
ejpam-6051	108	18	y	y	PROPN
ejpam-6051	108	19	)	)	PUNCT
ejpam-6051	108	20	+	+	CCONJ
ejpam-6051	109	1	φ̆2(x	φ̆2(x	PROPN
ejpam-6051	109	2	,	,	PUNCT
ejpam-6051	109	3	λ̆	λ̆	PROPN
ejpam-6051	109	4	,	,	PUNCT
ejpam-6051	109	5	t	t	PROPN
ejpam-6051	109	6	,	,	PUNCT
ejpam-6051	109	7	y	y	PROPN
ejpam-6051	109	8	)	)	PUNCT
ejpam-6051	110	1	+	+	CCONJ
ejpam-6051	110	2	...	...	PUNCT
ejpam-6051	111	1	=	=	NOUN
ejpam-6051	111	2	ζ̆(x	ζ̆(x	NOUN
ejpam-6051	111	3	,	,	PUNCT
ejpam-6051	111	4	y	y	NOUN
ejpam-6051	111	5	)	)	PUNCT
ejpam-6051	112	1	+	+	NOUN
ejpam-6051	112	2	n−1	n−1	PROPN
ejpam-6051	112	3	(	(	PUNCT
ejpam-6051	112	4	φβ	φβ	NOUN
ejpam-6051	112	5	sβ	sβ	PROPN
ejpam-6051	112	6	n	n	PROPN
ejpam-6051	112	7	(	(	PUNCT
ejpam-6051	112	8	∂2	∂2	PROPN
ejpam-6051	112	9	∂x2	∂x2	NOUN
ejpam-6051	112	10	(	(	PUNCT
ejpam-6051	112	11	φ̆0(x	φ̆0(x	PROPN
ejpam-6051	112	12	,	,	PUNCT
ejpam-6051	112	13	λ̆	λ̆	PROPN
ejpam-6051	112	14	,	,	PUNCT
ejpam-6051	112	15	t	t	PROPN
ejpam-6051	112	16	,	,	PUNCT
ejpam-6051	112	17	y	y	PROPN
ejpam-6051	112	18	)	)	PUNCT
ejpam-6051	112	19	+	+	CCONJ
ejpam-6051	112	20	φ̆1(x	φ̆1(x	PROPN
ejpam-6051	112	21	,	,	PUNCT
ejpam-6051	112	22	λ̆	λ̆	PROPN
ejpam-6051	112	23	,	,	PUNCT
ejpam-6051	112	24	t	t	PROPN
ejpam-6051	112	25	,	,	PUNCT
ejpam-6051	112	26	y)+	y)+	PROPN
ejpam-6051	112	27	φ̆2(x	φ̆2(x	PROPN
ejpam-6051	112	28	,	,	PUNCT
ejpam-6051	112	29	λ̆	λ̆	PROPN
ejpam-6051	112	30	,	,	PUNCT
ejpam-6051	112	31	t	t	PROPN
ejpam-6051	112	32	,	,	PUNCT
ejpam-6051	112	33	y	y	PROPN
ejpam-6051	112	34	)	)	PUNCT
ejpam-6051	112	35	+	+	CCONJ
ejpam-6051	112	36	...	...	PUNCT
ejpam-6051	112	37	)	)	PUNCT
ejpam-6051	113	1	+	+	CCONJ
ejpam-6051	113	2	∂2	∂2	PROPN
ejpam-6051	113	3	∂y2	∂y2	NOUN
ejpam-6051	113	4	(	(	PUNCT
ejpam-6051	113	5	φ̆0(x	φ̆0(x	PROPN
ejpam-6051	113	6	,	,	PUNCT
ejpam-6051	113	7	λ̆	λ̆	PROPN
ejpam-6051	113	8	,	,	PUNCT
ejpam-6051	113	9	t	t	PROPN
ejpam-6051	113	10	,	,	PUNCT
ejpam-6051	113	11	y	y	PROPN
ejpam-6051	113	12	)	)	PUNCT
ejpam-6051	113	13	+	+	CCONJ
ejpam-6051	113	14	φ̆1(x	φ̆1(x	PROPN
ejpam-6051	113	15	,	,	PUNCT
ejpam-6051	113	16	λ̆	λ̆	PROPN
ejpam-6051	113	17	,	,	PUNCT
ejpam-6051	113	18	t	t	PROPN
ejpam-6051	113	19	,	,	PUNCT
ejpam-6051	113	20	y	y	PROPN
ejpam-6051	113	21	)	)	PUNCT
ejpam-6051	113	22	+	+	CCONJ
ejpam-6051	113	23	φ̆2(x	φ̆2(x	PROPN
ejpam-6051	113	24	,	,	PUNCT
ejpam-6051	113	25	λ̆	λ̆	PROPN
ejpam-6051	113	26	,	,	PUNCT
ejpam-6051	113	27	t	t	PROPN
ejpam-6051	113	28	,	,	PUNCT
ejpam-6051	113	29	y	y	PROPN
ejpam-6051	113	30	)	)	PUNCT
ejpam-6051	113	31	+	+	CCONJ
ejpam-6051	113	32	...	...	PUNCT
ejpam-6051	113	33	)	)	PUNCT
ejpam-6051	114	1	+	+	CCONJ
ejpam-6051	114	2	ϕ̆(x	ϕ̆(x	NOUN
ejpam-6051	114	3	,	,	PUNCT
ejpam-6051	114	4	λ̆	λ̆	PROPN
ejpam-6051	114	5	,	,	PUNCT
ejpam-6051	114	6	t	t	PROPN
ejpam-6051	114	7	,	,	PUNCT
ejpam-6051	114	8	y	y	PROPN
ejpam-6051	114	9	)	)	PUNCT
ejpam-6051	114	10	)	)	PUNCT
ejpam-6051	114	11	)	)	PUNCT
ejpam-6051	114	12	.	.	PUNCT
ejpam-6051	115	1	(	(	PUNCT
ejpam-6051	115	2	11	11	X
ejpam-6051	115	3	)	)	PUNCT
ejpam-6051	115	4	comparing	compare	VERB
ejpam-6051	115	5	both	both	CCONJ
ejpam-6051	115	6	the	the	DET
ejpam-6051	115	7	sides	side	NOUN
ejpam-6051	115	8	we	we	PRON
ejpam-6051	115	9	have	have	VERB
ejpam-6051	115	10	,	,	PUNCT
ejpam-6051	115	11	φ̆0(x	φ̆0(x	PROPN
ejpam-6051	115	12	,	,	PUNCT
ejpam-6051	115	13	λ̆	λ̆	PROPN
ejpam-6051	115	14	,	,	PUNCT
ejpam-6051	115	15	t	t	PROPN
ejpam-6051	115	16	,	,	PUNCT
ejpam-6051	115	17	y	y	NOUN
ejpam-6051	115	18	)	)	PUNCT
ejpam-6051	115	19	=	=	SYM
ejpam-6051	115	20	ζ̆(x	ζ̆(x	NOUN
ejpam-6051	115	21	,	,	PUNCT
ejpam-6051	115	22	y	y	PROPN
ejpam-6051	115	23	)	)	PUNCT
ejpam-6051	115	24	.	.	PUNCT
ejpam-6051	116	1	(	(	PUNCT
ejpam-6051	116	2	12	12	NUM
ejpam-6051	116	3	)	)	PUNCT
ejpam-6051	116	4	φ̆1(x	φ̆1(x	PROPN
ejpam-6051	116	5	,	,	PUNCT
ejpam-6051	116	6	λ̆	λ̆	PROPN
ejpam-6051	116	7	,	,	PUNCT
ejpam-6051	116	8	t	t	PROPN
ejpam-6051	116	9	,	,	PUNCT
ejpam-6051	116	10	y	y	PROPN
ejpam-6051	116	11	)	)	PUNCT
ejpam-6051	117	1	=	=	SYM
ejpam-6051	117	2	n−1	n−1	PROPN
ejpam-6051	117	3	(	(	PUNCT
ejpam-6051	117	4	φβ	φβ	NOUN
ejpam-6051	117	5	sβ	sβ	PROPN
ejpam-6051	117	6	n	n	PROPN
ejpam-6051	117	7	(	(	PUNCT
ejpam-6051	117	8	∂2	∂2	PROPN
ejpam-6051	117	9	∂x2	∂x2	NOUN
ejpam-6051	117	10	φ̆0(x	φ̆0(x	NOUN
ejpam-6051	117	11	,	,	PUNCT
ejpam-6051	117	12	λ̆	λ̆	PROPN
ejpam-6051	117	13	,	,	PUNCT
ejpam-6051	117	14	t	t	PROPN
ejpam-6051	117	15	,	,	PUNCT
ejpam-6051	117	16	y	y	PROPN
ejpam-6051	117	17	)	)	PUNCT
ejpam-6051	117	18	+	+	CCONJ
ejpam-6051	117	19	∂2	∂2	NUM
ejpam-6051	117	20	∂y2	∂y2	ADV
ejpam-6051	117	21	φ̆0(x	φ̆0(x	NOUN
ejpam-6051	117	22	,	,	PUNCT
ejpam-6051	117	23	λ̆	λ̆	PROPN
ejpam-6051	117	24	,	,	PUNCT
ejpam-6051	117	25	t	t	PROPN
ejpam-6051	117	26	,	,	PUNCT
ejpam-6051	117	27	y	y	PROPN
ejpam-6051	117	28	)	)	PUNCT
ejpam-6051	118	1	+	+	CCONJ
ejpam-6051	118	2	ϕ̆(x	ϕ̆(x	PROPN
ejpam-6051	118	3	,	,	PUNCT
ejpam-6051	118	4	λ̆	λ̆	PROPN
ejpam-6051	118	5	,	,	PUNCT
ejpam-6051	118	6	t	t	PROPN
ejpam-6051	118	7	,	,	PUNCT
ejpam-6051	118	8	y	y	PROPN
ejpam-6051	118	9	)	)	PUNCT
ejpam-6051	118	10	)	)	PUNCT
ejpam-6051	118	11	)	)	PUNCT
ejpam-6051	118	12	.	.	PUNCT
ejpam-6051	119	1	(	(	PUNCT
ejpam-6051	119	2	13	13	NUM
ejpam-6051	119	3	)	)	PUNCT
ejpam-6051	119	4	φ̆2(x	φ̆2(x	PROPN
ejpam-6051	119	5	,	,	PUNCT
ejpam-6051	119	6	λ̆	λ̆	PROPN
ejpam-6051	119	7	,	,	PUNCT
ejpam-6051	119	8	t	t	PROPN
ejpam-6051	119	9	,	,	PUNCT
ejpam-6051	119	10	y	y	PROPN
ejpam-6051	119	11	)	)	PUNCT
ejpam-6051	120	1	=	=	SYM
ejpam-6051	120	2	n−1	n−1	PROPN
ejpam-6051	120	3	(	(	PUNCT
ejpam-6051	120	4	φβ	φβ	NOUN
ejpam-6051	120	5	sβ	sβ	PROPN
ejpam-6051	120	6	n	n	PROPN
ejpam-6051	120	7	(	(	PUNCT
ejpam-6051	120	8	∂2	∂2	PROPN
ejpam-6051	120	9	∂x2	∂x2	NOUN
ejpam-6051	120	10	φ̆1(x	φ̆1(x	NOUN
ejpam-6051	120	11	,	,	PUNCT
ejpam-6051	120	12	λ̆	λ̆	PROPN
ejpam-6051	120	13	,	,	PUNCT
ejpam-6051	120	14	t	t	PROPN
ejpam-6051	120	15	,	,	PUNCT
ejpam-6051	120	16	y	y	PROPN
ejpam-6051	120	17	)	)	PUNCT
ejpam-6051	120	18	+	+	CCONJ
ejpam-6051	120	19	∂2	∂2	NUM
ejpam-6051	120	20	∂y2	∂y2	ADJ
ejpam-6051	120	21	φ̆1(x	φ̆1(x	PROPN
ejpam-6051	120	22	,	,	PUNCT
ejpam-6051	120	23	λ̆	λ̆	PROPN
ejpam-6051	120	24	,	,	PUNCT
ejpam-6051	120	25	t	t	PROPN
ejpam-6051	120	26	,	,	PUNCT
ejpam-6051	120	27	y	y	PROPN
ejpam-6051	120	28	)	)	PUNCT
ejpam-6051	120	29	)	)	PUNCT
ejpam-6051	120	30	)	)	PUNCT
ejpam-6051	120	31	.	.	PUNCT
ejpam-6051	121	1	(	(	PUNCT
ejpam-6051	121	2	14	14	NUM
ejpam-6051	121	3	)	)	PUNCT
ejpam-6051	121	4	...	...	PUNCT
ejpam-6051	121	5	...	...	PUNCT
ejpam-6051	121	6	...	...	PUNCT
ejpam-6051	122	1	φ̆n(x	φ̆n(x	ADJ
ejpam-6051	122	2	,	,	PUNCT
ejpam-6051	122	3	λ̆	λ̆	PROPN
ejpam-6051	122	4	,	,	PUNCT
ejpam-6051	122	5	t	t	PROPN
ejpam-6051	122	6	,	,	PUNCT
ejpam-6051	122	7	y	y	PROPN
ejpam-6051	122	8	)	)	PUNCT
ejpam-6051	122	9	=	=	SYM
ejpam-6051	122	10	n−1	n−1	PROPN
ejpam-6051	122	11	(	(	PUNCT
ejpam-6051	122	12	φβ	φβ	NOUN
ejpam-6051	122	13	sβ	sβ	PROPN
ejpam-6051	122	14	n	n	PROPN
ejpam-6051	122	15	(	(	PUNCT
ejpam-6051	122	16	∂2	∂2	PROPN
ejpam-6051	122	17	∂x2	∂x2	NOUN
ejpam-6051	122	18	φ̆n−1(x	φ̆n−1(x	PROPN
ejpam-6051	122	19	,	,	PUNCT
ejpam-6051	122	20	λ̆	λ̆	PROPN
ejpam-6051	122	21	,	,	PUNCT
ejpam-6051	122	22	t	t	PROPN
ejpam-6051	122	23	,	,	PUNCT
ejpam-6051	122	24	y	y	PROPN
ejpam-6051	122	25	)	)	PUNCT
ejpam-6051	122	26	+	+	CCONJ
ejpam-6051	122	27	∂2	∂2	NUM
ejpam-6051	122	28	∂y2	∂y2	ADJ
ejpam-6051	122	29	φ̆n−1(x	φ̆n−1(x	PROPN
ejpam-6051	122	30	,	,	PUNCT
ejpam-6051	122	31	λ̆	λ̆	PROPN
ejpam-6051	122	32	,	,	PUNCT
ejpam-6051	122	33	t	t	PROPN
ejpam-6051	122	34	,	,	PUNCT
ejpam-6051	122	35	y	y	PROPN
ejpam-6051	122	36	)	)	PUNCT
ejpam-6051	122	37	)	)	PUNCT
ejpam-6051	122	38	)	)	PUNCT
ejpam-6051	122	39	.	.	PUNCT
ejpam-6051	123	1	(	(	PUNCT
ejpam-6051	123	2	15	15	NUM
ejpam-6051	123	3	)	)	PUNCT
ejpam-6051	123	4	where	where	SCONJ
ejpam-6051	123	5	,	,	PUNCT
ejpam-6051	123	6	n	n	X
ejpam-6051	123	7	≥	≥	NOUN
ejpam-6051	123	8	1	1	NUM
ejpam-6051	123	9	.	.	NOUN
ejpam-6051	123	10	4	4	NUM
ejpam-6051	123	11	.	.	PUNCT
ejpam-6051	123	12	examples	example	NOUN
ejpam-6051	123	13	and	and	CCONJ
ejpam-6051	123	14	discussion	discussion	NOUN
ejpam-6051	123	15	example	example	NOUN
ejpam-6051	123	16	1	1	X
ejpam-6051	123	17	.	.	PUNCT
ejpam-6051	124	1	let	let	VERB
ejpam-6051	124	2	us	we	PRON
ejpam-6051	124	3	assume	assume	VERB
ejpam-6051	124	4	the	the	DET
ejpam-6051	124	5	2d	2d	NUM
ejpam-6051	124	6	fuzzy	fuzzy	ADJ
ejpam-6051	124	7	heat	heat	NOUN
ejpam-6051	124	8	equation(s	equation(s	PROPN
ejpam-6051	124	9	)	)	PUNCT
ejpam-6051	124	10	as	as	SCONJ
ejpam-6051	124	11	shown	show	VERB
ejpam-6051	124	12	in	in	ADP
ejpam-6051	124	13	[	[	X
ejpam-6051	124	14	11	11	NUM
ejpam-6051	124	15	]	]	PUNCT
ejpam-6051	124	16	.	.	PUNCT
ejpam-6051	125	1	{	{	PUNCT
ejpam-6051	126	1	∂β	∂β	PROPN
ejpam-6051	126	2	∂tβ	∂tβ	PROPN
ejpam-6051	126	3	φ̆(x	φ̆(x	NOUN
ejpam-6051	126	4	,	,	PUNCT
ejpam-6051	126	5	λ̆	λ̆	PROPN
ejpam-6051	126	6	,	,	PUNCT
ejpam-6051	126	7	t	t	PROPN
ejpam-6051	126	8	,	,	PUNCT
ejpam-6051	126	9	y	y	NOUN
ejpam-6051	126	10	)	)	PUNCT
ejpam-6051	126	11	=	=	SYM
ejpam-6051	126	12	∂2	∂2	ADJ
ejpam-6051	126	13	∂x2	∂x2	NOUN
ejpam-6051	126	14	φ̆(x	φ̆(x	NOUN
ejpam-6051	126	15	,	,	PUNCT
ejpam-6051	126	16	λ̆	λ̆	PROPN
ejpam-6051	126	17	,	,	PUNCT
ejpam-6051	126	18	t	t	PROPN
ejpam-6051	126	19	,	,	PUNCT
ejpam-6051	126	20	y	y	PROPN
ejpam-6051	126	21	)	)	PUNCT
ejpam-6051	126	22	+	+	CCONJ
ejpam-6051	126	23	∂2	∂2	ADJ
ejpam-6051	126	24	∂y2	∂y2	NOUN
ejpam-6051	126	25	φ̆(x	φ̆(x	NOUN
ejpam-6051	126	26	,	,	PUNCT
ejpam-6051	126	27	λ̆	λ̆	PROPN
ejpam-6051	126	28	,	,	PUNCT
ejpam-6051	126	29	t	t	PROPN
ejpam-6051	126	30	,	,	PUNCT
ejpam-6051	126	31	y	y	PROPN
ejpam-6051	126	32	)	)	PUNCT
ejpam-6051	127	1	+	+	CCONJ
ejpam-6051	127	2	x+	x+	ADJ
ejpam-6051	127	3	y	y	PROPN
ejpam-6051	127	4	+	+	PROPN
ejpam-6051	127	5	1	1	NUM
ejpam-6051	127	6	,	,	PUNCT
ejpam-6051	127	7	0	0	NUM
ejpam-6051	127	8	<	<	X
ejpam-6051	127	9	λ̆	λ̆	X
ejpam-6051	127	10	≤	≤	NOUN
ejpam-6051	127	11	1	1	NUM
ejpam-6051	127	12	,	,	PUNCT
ejpam-6051	127	13	0	0	PUNCT
ejpam-6051	127	14	<	<	X
ejpam-6051	127	15	t.	t.	NOUN
ejpam-6051	127	16	φ̆(x	φ̆(x	NOUN
ejpam-6051	127	17	,	,	PUNCT
ejpam-6051	127	18	0	0	NUM
ejpam-6051	127	19	,	,	PUNCT
ejpam-6051	127	20	y	y	NOUN
ejpam-6051	127	21	)	)	PUNCT
ejpam-6051	127	22	=	=	PUNCT
ejpam-6051	127	23	λ̆e(−x−y	λ̆e(−x−y	PROPN
ejpam-6051	127	24	)	)	PUNCT
ejpam-6051	127	25	,	,	PUNCT
ejpam-6051	127	26	x	x	X
ejpam-6051	127	27	<	<	X
ejpam-6051	127	28	1	1	NUM
ejpam-6051	127	29	,	,	PUNCT
ejpam-6051	127	30	y	y	PROPN
ejpam-6051	127	31	>	>	X
ejpam-6051	127	32	0	0	PROPN
ejpam-6051	127	33	.	.	PUNCT
ejpam-6051	128	1	(	(	PUNCT
ejpam-6051	128	2	16	16	NUM
ejpam-6051	128	3	)	)	PUNCT
ejpam-6051	128	4	m.	m.	NOUN
ejpam-6051	128	5	usman	usman	PROPN
ejpam-6051	128	6	et	et	PROPN
ejpam-6051	128	7	al	al	PROPN
ejpam-6051	128	8	.	.	PUNCT
ejpam-6051	128	9	/	/	SYM
ejpam-6051	128	10	eur	eur	PROPN
ejpam-6051	128	11	.	.	PUNCT
ejpam-6051	129	1	j.	j.	PROPN
ejpam-6051	129	2	pure	pure	PROPN
ejpam-6051	129	3	appl	appl	PROPN
ejpam-6051	129	4	.	.	PROPN
ejpam-6051	129	5	math	math	PROPN
ejpam-6051	129	6	,	,	PUNCT
ejpam-6051	129	7	18	18	NUM
ejpam-6051	129	8	(	(	PUNCT
ejpam-6051	129	9	2	2	NUM
ejpam-6051	129	10	)	)	PUNCT
ejpam-6051	129	11	(	(	PUNCT
ejpam-6051	129	12	2025	2025	NUM
ejpam-6051	129	13	)	)	PUNCT
ejpam-6051	129	14	,	,	PUNCT
ejpam-6051	129	15	6051	6051	NUM
ejpam-6051	129	16	6	6	NUM
ejpam-6051	129	17	of	of	ADP
ejpam-6051	129	18	10	10	NUM
ejpam-6051	129	19	where	where	SCONJ
ejpam-6051	129	20	λ̆	λ̆	ADP
ejpam-6051	129	21	=	=	PUNCT
ejpam-6051	130	1	[	[	X
ejpam-6051	130	2	λ	λ	X
ejpam-6051	130	3	,	,	PUNCT
ejpam-6051	130	4	λ	λ	PROPN
ejpam-6051	130	5	]	]	X
ejpam-6051	130	6	,	,	PUNCT
ejpam-6051	130	7	such	such	ADJ
ejpam-6051	130	8	that	that	SCONJ
ejpam-6051	130	9	λ	λ	PROPN
ejpam-6051	130	10	=	=	SYM
ejpam-6051	130	11	λ−	λ−	PROPN
ejpam-6051	130	12	1	1	NUM
ejpam-6051	130	13	,	,	PUNCT
ejpam-6051	130	14	λ	λ	X
ejpam-6051	130	15	=	=	SYM
ejpam-6051	130	16	1−λ	1−λ	NUM
ejpam-6051	130	17	now	now	ADV
ejpam-6051	130	18	using	use	VERB
ejpam-6051	130	19	equation(12	equation(12	NOUN
ejpam-6051	130	20	)	)	PUNCT
ejpam-6051	130	21	and	and	CCONJ
ejpam-6051	130	22	(	(	PUNCT
ejpam-6051	130	23	15	15	NUM
ejpam-6051	130	24	)	)	PUNCT
ejpam-6051	130	25	,	,	PUNCT
ejpam-6051	130	26	we	we	PRON
ejpam-6051	130	27	can	can	AUX
ejpam-6051	130	28	write	write	VERB
ejpam-6051	130	29	as	as	SCONJ
ejpam-6051	130	30	follows	follow	VERB
ejpam-6051	130	31	:	:	PUNCT
ejpam-6051	130	32	φ̆0(x	φ̆0(x	NOUN
ejpam-6051	130	33	,	,	PUNCT
ejpam-6051	130	34	λ̆	λ̆	PROPN
ejpam-6051	130	35	,	,	PUNCT
ejpam-6051	130	36	t	t	PROPN
ejpam-6051	130	37	,	,	PUNCT
ejpam-6051	130	38	y	y	NOUN
ejpam-6051	130	39	)	)	PUNCT
ejpam-6051	130	40	=	=	PUNCT
ejpam-6051	131	1	λ̆e−(x+y	λ̆e−(x+y	X
ejpam-6051	131	2	)	)	PUNCT
ejpam-6051	131	3	,	,	PUNCT
ejpam-6051	131	4	φ̆1(x	φ̆1(x	PROPN
ejpam-6051	131	5	,	,	PUNCT
ejpam-6051	131	6	λ̆	λ̆	PROPN
ejpam-6051	131	7	,	,	PUNCT
ejpam-6051	131	8	t	t	PROPN
ejpam-6051	131	9	,	,	PUNCT
ejpam-6051	131	10	y	y	NOUN
ejpam-6051	131	11	)	)	PUNCT
ejpam-6051	131	12	=	=	SYM
ejpam-6051	131	13	λ̆2e−(x+y	λ̆2e−(x+y	X
ejpam-6051	131	14	)	)	PUNCT
ejpam-6051	131	15	+	+	CCONJ
ejpam-6051	131	16	(	(	PUNCT
ejpam-6051	131	17	x+	x+	X
ejpam-6051	131	18	y	y	PROPN
ejpam-6051	131	19	+	+	PROPN
ejpam-6051	131	20	1	1	NUM
ejpam-6051	131	21	)	)	PUNCT
ejpam-6051	131	22	]	]	PUNCT
ejpam-6051	132	1	tβ	tβ	X
ejpam-6051	132	2	γ(β	γ(β	PROPN
ejpam-6051	132	3	+	+	CCONJ
ejpam-6051	132	4	1	1	NUM
ejpam-6051	132	5	)	)	PUNCT
ejpam-6051	132	6	,	,	PUNCT
ejpam-6051	132	7	φ̆2(x	φ̆2(x	PROPN
ejpam-6051	132	8	,	,	PUNCT
ejpam-6051	132	9	λ̆	λ̆	PROPN
ejpam-6051	132	10	,	,	PUNCT
ejpam-6051	132	11	t	t	PROPN
ejpam-6051	132	12	,	,	PUNCT
ejpam-6051	132	13	y	y	PROPN
ejpam-6051	132	14	)	)	PUNCT
ejpam-6051	132	15	=	=	SYM
ejpam-6051	132	16	λ̆4e−(x+y	λ̆4e−(x+y	PROPN
ejpam-6051	132	17	)	)	PUNCT
ejpam-6051	132	18	t2β	t2β	NOUN
ejpam-6051	132	19	γ(2β	γ(2β	PUNCT
ejpam-6051	132	20	+	+	NOUN
ejpam-6051	132	21	1	1	NUM
ejpam-6051	132	22	)	)	PUNCT
ejpam-6051	132	23	,	,	PUNCT
ejpam-6051	132	24	φ̆3(x	φ̆3(x	PROPN
ejpam-6051	132	25	,	,	PUNCT
ejpam-6051	132	26	λ̆	λ̆	PROPN
ejpam-6051	132	27	,	,	PUNCT
ejpam-6051	132	28	t	t	PROPN
ejpam-6051	132	29	,	,	PUNCT
ejpam-6051	132	30	y	y	PROPN
ejpam-6051	132	31	)	)	PUNCT
ejpam-6051	132	32	=	=	PUNCT
ejpam-6051	133	1	λ̆8e−(x+y	λ̆8e−(x+y	X
ejpam-6051	133	2	)	)	PUNCT
ejpam-6051	133	3	t3β	t3β	X
ejpam-6051	133	4	γ(3β	γ(3β	PUNCT
ejpam-6051	133	5	+	+	SYM
ejpam-6051	133	6	1	1	NUM
ejpam-6051	133	7	)	)	PUNCT
ejpam-6051	133	8	,	,	PUNCT
ejpam-6051	133	9	...	...	PUNCT
ejpam-6051	133	10	...	...	PUNCT
ejpam-6051	133	11	...	...	PUNCT
ejpam-6051	134	1	proceeding	proceed	VERB
ejpam-6051	134	2	in	in	ADP
ejpam-6051	134	3	the	the	DET
ejpam-6051	134	4	same	same	ADJ
ejpam-6051	134	5	fashion	fashion	NOUN
ejpam-6051	134	6	the	the	DET
ejpam-6051	134	7	aforesaid	aforesaid	ADJ
ejpam-6051	134	8	analytical	analytical	ADJ
ejpam-6051	134	9	solution	solution	NOUN
ejpam-6051	134	10	can	can	AUX
ejpam-6051	134	11	be	be	AUX
ejpam-6051	134	12	shown	show	VERB
ejpam-6051	134	13	as	as	ADP
ejpam-6051	134	14	,	,	PUNCT
ejpam-6051	134	15	φ̆(x	φ̆(x	NOUN
ejpam-6051	134	16	,	,	PUNCT
ejpam-6051	134	17	λ̆	λ̆	PROPN
ejpam-6051	134	18	,	,	PUNCT
ejpam-6051	134	19	t	t	PROPN
ejpam-6051	134	20	,	,	PUNCT
ejpam-6051	134	21	y	y	NOUN
ejpam-6051	134	22	)	)	PUNCT
ejpam-6051	134	23	=	=	SYM
ejpam-6051	134	24	φ̆0(x	φ̆0(x	PROPN
ejpam-6051	134	25	,	,	PUNCT
ejpam-6051	134	26	λ̆	λ̆	PROPN
ejpam-6051	134	27	,	,	PUNCT
ejpam-6051	134	28	t	t	PROPN
ejpam-6051	134	29	,	,	PUNCT
ejpam-6051	134	30	y	y	PROPN
ejpam-6051	134	31	)	)	PUNCT
ejpam-6051	134	32	+	+	CCONJ
ejpam-6051	134	33	φ̆1(x	φ̆1(x	PROPN
ejpam-6051	134	34	,	,	PUNCT
ejpam-6051	134	35	λ̆	λ̆	PROPN
ejpam-6051	134	36	,	,	PUNCT
ejpam-6051	134	37	t	t	PROPN
ejpam-6051	134	38	,	,	PUNCT
ejpam-6051	134	39	y	y	PROPN
ejpam-6051	134	40	)	)	PUNCT
ejpam-6051	135	1	+	+	CCONJ
ejpam-6051	135	2	φ̆2(x	φ̆2(x	PROPN
ejpam-6051	135	3	,	,	PUNCT
ejpam-6051	135	4	λ̆	λ̆	PROPN
ejpam-6051	135	5	,	,	PUNCT
ejpam-6051	135	6	t	t	PROPN
ejpam-6051	135	7	,	,	PUNCT
ejpam-6051	135	8	y	y	PROPN
ejpam-6051	135	9	)	)	PUNCT
ejpam-6051	135	10	+	+	CCONJ
ejpam-6051	135	11	φ̆3(x	φ̆3(x	PROPN
ejpam-6051	135	12	,	,	PUNCT
ejpam-6051	135	13	λ̆	λ̆	PROPN
ejpam-6051	135	14	,	,	PUNCT
ejpam-6051	135	15	t	t	PROPN
ejpam-6051	135	16	,	,	PUNCT
ejpam-6051	135	17	y	y	PROPN
ejpam-6051	135	18	)	)	PUNCT
ejpam-6051	135	19	.	.	PUNCT
ejpam-6051	136	1	.	.	PUNCT
ejpam-6051	137	1	.	.	PUNCT
ejpam-6051	138	1	,	,	PUNCT
ejpam-6051	138	2	in	in	ADP
ejpam-6051	138	3	the	the	DET
ejpam-6051	138	4	absence	absence	NOUN
ejpam-6051	138	5	of	of	ADP
ejpam-6051	138	6	the	the	DET
ejpam-6051	138	7	source	source	NOUN
ejpam-6051	138	8	term	term	NOUN
ejpam-6051	138	9	the	the	DET
ejpam-6051	138	10	solution	solution	NOUN
ejpam-6051	138	11	is	be	AUX
ejpam-6051	138	12	,	,	PUNCT
ejpam-6051	138	13	φ̆n(x	φ̆n(x	ADJ
ejpam-6051	138	14	,	,	PUNCT
ejpam-6051	138	15	λ̆	λ̆	PROPN
ejpam-6051	138	16	,	,	PUNCT
ejpam-6051	138	17	t	t	PROPN
ejpam-6051	138	18	,	,	PUNCT
ejpam-6051	138	19	y	y	NOUN
ejpam-6051	138	20	)	)	PUNCT
ejpam-6051	138	21	=	=	PUNCT
ejpam-6051	138	22	∞∑	∞∑	NUM
ejpam-6051	138	23	n=2	n=2	ADV
ejpam-6051	138	24	tnβ	tnβ	ADP
ejpam-6051	138	25	γ(nβ	γ(nβ	PROPN
ejpam-6051	138	26	+	+	CCONJ
ejpam-6051	138	27	1	1	NUM
ejpam-6051	138	28	)	)	PUNCT
ejpam-6051	138	29	λ̆2ne(−x−y	λ̆2ne(−x−y	NOUN
ejpam-6051	138	30	)	)	PUNCT
ejpam-6051	138	31	.	.	PUNCT
ejpam-6051	139	1	0	0	NUM
ejpam-6051	139	2	0.2	0.2	NUM
ejpam-6051	139	3	0.4	0.4	NUM
ejpam-6051	139	4	0.6	0.6	NUM
ejpam-6051	139	5	0.8	0.8	NUM
ejpam-6051	139	6	1	1	NUM
ejpam-6051	139	7	00.10.20.30.40.50.60.70.80.91	00.10.20.30.40.50.60.70.80.91	NUM
ejpam-6051	139	8	−0.1	−0.1	PUNCT
ejpam-6051	139	9	−0.05	−0.05	ADV
ejpam-6051	139	10	0	0	NUM
ejpam-6051	139	11	0.05	0.05	NUM
ejpam-6051	139	12	0.1	0.1	NUM
ejpam-6051	139	13	y	y	PROPN
ejpam-6051	139	14	x	x	PROPN
ejpam-6051	139	15	fu	fu	PROPN
ejpam-6051	139	16	z	z	NOUN
ejpam-6051	139	17	z	z	NOUN
ejpam-6051	140	1	y	y	PROPN
ejpam-6051	140	2	s	s	X
ejpam-6051	140	3	o	o	X
ejpam-6051	140	4	lu	lu	NOUN
ejpam-6051	140	5	ti	ti	NOUN
ejpam-6051	140	6	o	o	NOUN
ejpam-6051	140	7	n	n	NUM
ejpam-6051	140	8	u1	u1	NOUN
ejpam-6051	140	9	u2	u2	NOUN
ejpam-6051	140	10	figure	figure	NOUN
ejpam-6051	140	11	1	1	NUM
ejpam-6051	140	12	:	:	PUNCT
ejpam-6051	140	13	fuzzy	fuzzy	ADJ
ejpam-6051	140	14	solution	solution	NOUN
ejpam-6051	140	15	of	of	ADP
ejpam-6051	140	16	example	example	NOUN
ejpam-6051	140	17	1	1	NUM
ejpam-6051	140	18	.	.	PUNCT
ejpam-6051	140	19	example	example	NOUN
ejpam-6051	141	1	2	2	NUM
ejpam-6051	141	2	.	.	PUNCT
ejpam-6051	141	3	let	let	VERB
ejpam-6051	141	4	’s	’s	PRON
ejpam-6051	141	5	take	take	VERB
ejpam-6051	141	6	another	another	DET
ejpam-6051	141	7	two	two	NUM
ejpam-6051	141	8	-	-	PUNCT
ejpam-6051	141	9	dimension	dimension	NOUN
ejpam-6051	141	10	fuzzy	fuzzy	ADJ
ejpam-6051	141	11	heat	heat	NOUN
ejpam-6051	141	12	equation	equation	NOUN
ejpam-6051	141	13	as	as	ADP
ejpam-6051	141	14	in	in	ADP
ejpam-6051	141	15	[	[	PUNCT
ejpam-6051	141	16	11	11	NUM
ejpam-6051	141	17	]	]	PUNCT
ejpam-6051	141	18	.	.	PUNCT
ejpam-6051	141	19	{	{	PUNCT
ejpam-6051	142	1	∂β	∂β	PROPN
ejpam-6051	142	2	∂tβ	∂tβ	PROPN
ejpam-6051	142	3	φ̆(x	φ̆(x	NOUN
ejpam-6051	142	4	,	,	PUNCT
ejpam-6051	142	5	λ̆	λ̆	PROPN
ejpam-6051	142	6	,	,	PUNCT
ejpam-6051	142	7	t	t	PROPN
ejpam-6051	142	8	,	,	PUNCT
ejpam-6051	142	9	y	y	NOUN
ejpam-6051	142	10	)	)	PUNCT
ejpam-6051	142	11	=	=	SYM
ejpam-6051	142	12	∂2	∂2	ADJ
ejpam-6051	142	13	∂x2	∂x2	NOUN
ejpam-6051	142	14	φ̆(x	φ̆(x	NOUN
ejpam-6051	142	15	,	,	PUNCT
ejpam-6051	142	16	λ̆	λ̆	PROPN
ejpam-6051	142	17	,	,	PUNCT
ejpam-6051	142	18	t	t	PROPN
ejpam-6051	142	19	,	,	PUNCT
ejpam-6051	142	20	y	y	PROPN
ejpam-6051	142	21	)	)	PUNCT
ejpam-6051	142	22	+	+	CCONJ
ejpam-6051	142	23	∂2	∂2	ADJ
ejpam-6051	142	24	∂y2	∂y2	NOUN
ejpam-6051	142	25	φ̆(x	φ̆(x	NOUN
ejpam-6051	142	26	,	,	PUNCT
ejpam-6051	142	27	λ̆	λ̆	PROPN
ejpam-6051	142	28	,	,	PUNCT
ejpam-6051	142	29	t	t	PROPN
ejpam-6051	142	30	,	,	PUNCT
ejpam-6051	142	31	y	y	PROPN
ejpam-6051	142	32	)	)	PUNCT
ejpam-6051	143	1	+	+	CCONJ
ejpam-6051	143	2	x+	x+	ADJ
ejpam-6051	143	3	y	y	PROPN
ejpam-6051	143	4	+	+	CCONJ
ejpam-6051	143	5	t2	t2	PROPN
ejpam-6051	143	6	,	,	PUNCT
ejpam-6051	143	7	λ̆	λ̆	X
ejpam-6051	143	8	∈	∈	PROPN
ejpam-6051	144	1	[	[	X
ejpam-6051	144	2	0	0	NUM
ejpam-6051	144	3	,	,	PUNCT
ejpam-6051	144	4	1	1	NUM
ejpam-6051	144	5	]	]	PUNCT
ejpam-6051	144	6	,	,	PUNCT
ejpam-6051	144	7	0	0	PUNCT
ejpam-6051	144	8	<	<	X
ejpam-6051	144	9	β	β	X
ejpam-6051	144	10	<	<	X
ejpam-6051	144	11	1	1	NUM
ejpam-6051	144	12	,	,	PUNCT
ejpam-6051	144	13	0	0	NUM
ejpam-6051	144	14	<	<	X
ejpam-6051	144	15	t	t	PROPN
ejpam-6051	144	16	,	,	PUNCT
ejpam-6051	144	17	φ̆(x	φ̆(x	NOUN
ejpam-6051	144	18	,	,	PUNCT
ejpam-6051	144	19	0	0	NUM
ejpam-6051	144	20	,	,	PUNCT
ejpam-6051	144	21	y	y	NOUN
ejpam-6051	144	22	)	)	PUNCT
ejpam-6051	144	23	=	=	PUNCT
ejpam-6051	144	24	λ̆sin(π(x+	λ̆sin(π(x+	X
ejpam-6051	144	25	y	y	NOUN
ejpam-6051	144	26	)	)	PUNCT
ejpam-6051	144	27	)	)	PUNCT
ejpam-6051	144	28	,	,	PUNCT
ejpam-6051	144	29	1	1	X
ejpam-6051	144	30	>	>	X
ejpam-6051	144	31	(	(	PUNCT
ejpam-6051	144	32	x	x	NOUN
ejpam-6051	144	33	,	,	PUNCT
ejpam-6051	144	34	y	y	PROPN
ejpam-6051	144	35	)	)	PUNCT
ejpam-6051	144	36	>	>	X
ejpam-6051	144	37	0	0	X
ejpam-6051	144	38	.	.	PUNCT
ejpam-6051	144	39	(	(	PUNCT
ejpam-6051	144	40	17	17	NUM
ejpam-6051	144	41	)	)	PUNCT
ejpam-6051	144	42	furthermore	furthermore	ADV
ejpam-6051	144	43	,	,	PUNCT
ejpam-6051	144	44	λ̆	λ̆	PUNCT
ejpam-6051	144	45	=	=	PUNCT
ejpam-6051	145	1	[	[	X
ejpam-6051	145	2	λ	λ	X
ejpam-6051	145	3	,	,	PUNCT
ejpam-6051	145	4	λ	λ	PROPN
ejpam-6051	145	5	]	]	X
ejpam-6051	145	6	,	,	PUNCT
ejpam-6051	145	7	such	such	ADJ
ejpam-6051	145	8	that	that	SCONJ
ejpam-6051	145	9	λ	λ	NOUN
ejpam-6051	145	10	=	=	SYM
ejpam-6051	145	11	λ−1	λ−1	PROPN
ejpam-6051	145	12	,	,	PUNCT
ejpam-6051	145	13	λ	λ	X
ejpam-6051	145	14	=	=	SYM
ejpam-6051	145	15	1−λ	1−λ	NUM
ejpam-6051	145	16	.	.	PUNCT
ejpam-6051	146	1	now	now	ADV
ejpam-6051	146	2	using	use	VERB
ejpam-6051	146	3	equation(12	equation(12	NOUN
ejpam-6051	146	4	)	)	PUNCT
ejpam-6051	146	5	and	and	CCONJ
ejpam-6051	146	6	(	(	PUNCT
ejpam-6051	146	7	15	15	NUM
ejpam-6051	146	8	)	)	PUNCT
ejpam-6051	146	9	,	,	PUNCT
ejpam-6051	146	10	we	we	PRON
ejpam-6051	146	11	can	can	AUX
ejpam-6051	146	12	write	write	VERB
ejpam-6051	146	13	as	as	SCONJ
ejpam-6051	146	14	follows	follow	VERB
ejpam-6051	146	15	:	:	PUNCT
ejpam-6051	146	16	φ̆0(x	φ̆0(x	NOUN
ejpam-6051	146	17	,	,	PUNCT
ejpam-6051	146	18	λ̆	λ̆	PROPN
ejpam-6051	146	19	,	,	PUNCT
ejpam-6051	146	20	t	t	PROPN
ejpam-6051	146	21	,	,	PUNCT
ejpam-6051	146	22	y)λ̆	y)λ̆	PROPN
ejpam-6051	146	23	sinπ(x+	sinπ(x+	ADP
ejpam-6051	146	24	y	y	PROPN
ejpam-6051	146	25	)	)	PUNCT
ejpam-6051	146	26	,	,	PUNCT
ejpam-6051	147	1	m.	m.	NOUN
ejpam-6051	147	2	usman	usman	PROPN
ejpam-6051	147	3	et	et	PROPN
ejpam-6051	147	4	al	al	PROPN
ejpam-6051	147	5	.	.	PUNCT
ejpam-6051	147	6	/	/	SYM
ejpam-6051	147	7	eur	eur	PROPN
ejpam-6051	147	8	.	.	PUNCT
ejpam-6051	148	1	j.	j.	PROPN
ejpam-6051	148	2	pure	pure	PROPN
ejpam-6051	148	3	appl	appl	PROPN
ejpam-6051	148	4	.	.	PROPN
ejpam-6051	148	5	math	math	PROPN
ejpam-6051	148	6	,	,	PUNCT
ejpam-6051	148	7	18	18	NUM
ejpam-6051	148	8	(	(	PUNCT
ejpam-6051	148	9	2	2	NUM
ejpam-6051	148	10	)	)	PUNCT
ejpam-6051	148	11	(	(	PUNCT
ejpam-6051	148	12	2025	2025	NUM
ejpam-6051	148	13	)	)	PUNCT
ejpam-6051	148	14	,	,	PUNCT
ejpam-6051	148	15	6051	6051	NUM
ejpam-6051	148	16	7	7	NUM
ejpam-6051	148	17	of	of	ADP
ejpam-6051	148	18	10	10	NUM
ejpam-6051	148	19	φ̆1(x	φ̆1(x	NOUN
ejpam-6051	148	20	,	,	PUNCT
ejpam-6051	148	21	λ̆	λ̆	PROPN
ejpam-6051	148	22	,	,	PUNCT
ejpam-6051	148	23	t	t	PROPN
ejpam-6051	148	24	,	,	PUNCT
ejpam-6051	148	25	y)λ̆[−2π2	y)λ̆[−2π2	PROPN
ejpam-6051	148	26	sinπ(x+	sinπ(x+	ADP
ejpam-6051	148	27	y	y	PROPN
ejpam-6051	148	28	)	)	PUNCT
ejpam-6051	149	1	+	+	CCONJ
ejpam-6051	149	2	(	(	PUNCT
ejpam-6051	149	3	x+	x+	ADJ
ejpam-6051	149	4	y	y	NOUN
ejpam-6051	149	5	)	)	PUNCT
ejpam-6051	149	6	]	]	PUNCT
ejpam-6051	150	1	tβ	tβ	X
ejpam-6051	150	2	γ(β	γ(β	PROPN
ejpam-6051	150	3	+	+	CCONJ
ejpam-6051	150	4	1	1	NUM
ejpam-6051	150	5	)	)	PUNCT
ejpam-6051	151	1	+	+	CCONJ
ejpam-6051	152	1	tβ+2	tβ+2	PROPN
ejpam-6051	152	2	γ(β	γ(β	PROPN
ejpam-6051	152	3	+	+	CCONJ
ejpam-6051	152	4	3	3	NUM
ejpam-6051	152	5	)	)	PUNCT
ejpam-6051	152	6	,	,	PUNCT
ejpam-6051	152	7	φ̆2(x	φ̆2(x	PROPN
ejpam-6051	152	8	,	,	PUNCT
ejpam-6051	152	9	λ̆	λ̆	PROPN
ejpam-6051	152	10	,	,	PUNCT
ejpam-6051	152	11	t	t	PROPN
ejpam-6051	152	12	,	,	PUNCT
ejpam-6051	152	13	y)λ̆[4π	y)λ̆[4π	NOUN
ejpam-6051	152	14	4	4	NUM
ejpam-6051	152	15	sinπ(x+	sinπ(x+	ADP
ejpam-6051	152	16	y	y	PROPN
ejpam-6051	152	17	)	)	PUNCT
ejpam-6051	152	18	]	]	PUNCT
ejpam-6051	153	1	t2β	t2β	NOUN
ejpam-6051	153	2	γ(2β	γ(2β	SYM
ejpam-6051	153	3	+	+	NOUN
ejpam-6051	153	4	1	1	NUM
ejpam-6051	153	5	)	)	PUNCT
ejpam-6051	153	6	,	,	PUNCT
ejpam-6051	153	7	φ̆3(x	φ̆3(x	PROPN
ejpam-6051	153	8	,	,	PUNCT
ejpam-6051	153	9	λ̆	λ̆	PROPN
ejpam-6051	153	10	,	,	PUNCT
ejpam-6051	153	11	t	t	PROPN
ejpam-6051	153	12	,	,	PUNCT
ejpam-6051	153	13	y)λ̆[8π	y)λ̆[8π	X
ejpam-6051	153	14	6	6	NUM
ejpam-6051	153	15	sinπ(x+	sinπ(x+	ADP
ejpam-6051	153	16	y	y	PROPN
ejpam-6051	153	17	)	)	PUNCT
ejpam-6051	153	18	]	]	PUNCT
ejpam-6051	154	1	t3β	t3β	NUM
ejpam-6051	154	2	γ(3β	γ(3β	PUNCT
ejpam-6051	154	3	+	+	SYM
ejpam-6051	154	4	1	1	NUM
ejpam-6051	154	5	)	)	PUNCT
ejpam-6051	154	6	,	,	PUNCT
ejpam-6051	154	7	and	and	CCONJ
ejpam-6051	154	8	so	so	ADV
ejpam-6051	154	9	on	on	ADV
ejpam-6051	154	10	.	.	PUNCT
ejpam-6051	155	1	proceeding	proceed	VERB
ejpam-6051	155	2	in	in	ADP
ejpam-6051	155	3	the	the	DET
ejpam-6051	155	4	same	same	ADJ
ejpam-6051	155	5	fashion	fashion	NOUN
ejpam-6051	155	6	the	the	DET
ejpam-6051	155	7	final	final	ADJ
ejpam-6051	155	8	solution(s	solution(s	NOUN
ejpam-6051	155	9	)	)	PUNCT
ejpam-6051	155	10	can	can	AUX
ejpam-6051	155	11	be	be	AUX
ejpam-6051	155	12	written	write	VERB
ejpam-6051	155	13	as	as	ADP
ejpam-6051	155	14	φ̆(x	φ̆(x	NOUN
ejpam-6051	155	15	,	,	PUNCT
ejpam-6051	155	16	λ̆	λ̆	PROPN
ejpam-6051	155	17	,	,	PUNCT
ejpam-6051	155	18	t	t	PROPN
ejpam-6051	155	19	,	,	PUNCT
ejpam-6051	155	20	y)φ̆0(x	y)φ̆0(x	PROPN
ejpam-6051	155	21	,	,	PUNCT
ejpam-6051	155	22	λ̆	λ̆	PROPN
ejpam-6051	155	23	,	,	PUNCT
ejpam-6051	155	24	t	t	PROPN
ejpam-6051	155	25	,	,	PUNCT
ejpam-6051	155	26	y	y	PROPN
ejpam-6051	155	27	)	)	PUNCT
ejpam-6051	155	28	+	+	CCONJ
ejpam-6051	155	29	φ̆1(x	φ̆1(x	PROPN
ejpam-6051	155	30	,	,	PUNCT
ejpam-6051	155	31	λ̆	λ̆	PROPN
ejpam-6051	155	32	,	,	PUNCT
ejpam-6051	155	33	t	t	PROPN
ejpam-6051	155	34	,	,	PUNCT
ejpam-6051	155	35	y	y	PROPN
ejpam-6051	155	36	)	)	PUNCT
ejpam-6051	156	1	+	+	CCONJ
ejpam-6051	156	2	φ̆2(x	φ̆2(x	PROPN
ejpam-6051	156	3	,	,	PUNCT
ejpam-6051	156	4	λ̆	λ̆	PROPN
ejpam-6051	156	5	,	,	PUNCT
ejpam-6051	156	6	t	t	PROPN
ejpam-6051	156	7	,	,	PUNCT
ejpam-6051	156	8	y	y	PROPN
ejpam-6051	156	9	)	)	PUNCT
ejpam-6051	156	10	+	+	CCONJ
ejpam-6051	156	11	φ̆3(x	φ̆3(x	PROPN
ejpam-6051	156	12	,	,	PUNCT
ejpam-6051	156	13	λ̆	λ̆	PROPN
ejpam-6051	156	14	,	,	PUNCT
ejpam-6051	156	15	t	t	PROPN
ejpam-6051	156	16	,	,	PUNCT
ejpam-6051	156	17	y	y	PROPN
ejpam-6051	156	18	)	)	PUNCT
ejpam-6051	156	19	+	+	CCONJ
ejpam-6051	156	20	.	.	PUNCT
ejpam-6051	156	21	.	.	PUNCT
ejpam-6051	156	22	.	.	PUNCT
ejpam-6051	157	1	.	.	PUNCT
ejpam-6051	158	1	now	now	ADV
ejpam-6051	158	2	if	if	SCONJ
ejpam-6051	158	3	the	the	DET
ejpam-6051	158	4	source	source	NOUN
ejpam-6051	158	5	term	term	NOUN
ejpam-6051	158	6	is	be	AUX
ejpam-6051	158	7	zero	zero	NUM
ejpam-6051	158	8	then	then	ADV
ejpam-6051	158	9	the	the	DET
ejpam-6051	158	10	solution	solution	NOUN
ejpam-6051	158	11	will	will	AUX
ejpam-6051	158	12	take	take	VERB
ejpam-6051	158	13	the	the	DET
ejpam-6051	158	14	form	form	NOUN
ejpam-6051	158	15	φ̆n(x	φ̆n(x	ADJ
ejpam-6051	158	16	,	,	PUNCT
ejpam-6051	158	17	λ̆	λ̆	PROPN
ejpam-6051	158	18	,	,	PUNCT
ejpam-6051	158	19	t	t	PROPN
ejpam-6051	158	20	,	,	PUNCT
ejpam-6051	158	21	y	y	NOUN
ejpam-6051	158	22	)	)	PUNCT
ejpam-6051	158	23	=	=	SYM
ejpam-6051	159	1	∞∑	∞∑	NUM
ejpam-6051	159	2	n=2	n=2	PUNCT
ejpam-6051	159	3	(	(	PUNCT
ejpam-6051	159	4	−1)n2ntnβπ2n	−1)n2ntnβπ2n	PROPN
ejpam-6051	159	5	γ(nβ	γ(nβ	PROPN
ejpam-6051	159	6	+	+	CCONJ
ejpam-6051	159	7	1	1	X
ejpam-6051	159	8	)	)	PUNCT
ejpam-6051	159	9	λ̆	λ̆	PROPN
ejpam-6051	160	1	sin(π(x+	sin(π(x+	PROPN
ejpam-6051	160	2	y	y	NOUN
ejpam-6051	160	3	)	)	PUNCT
ejpam-6051	160	4	)	)	PUNCT
ejpam-6051	160	5	.	.	PUNCT
ejpam-6051	161	1	00.10.20.30.40.50.60.70.80.91	00.10.20.30.40.50.60.70.80.91	NOUN
ejpam-6051	162	1	00.10.20.30.40.50.60.70.80.91	00.10.20.30.40.50.60.70.80.91	NUM
ejpam-6051	163	1	−0.2	−0.2	PROPN
ejpam-6051	164	1	−0.15	−0.15	X
ejpam-6051	164	2	−0.1	−0.1	PROPN
ejpam-6051	164	3	−0.05	−0.05	ADV
ejpam-6051	164	4	0	0	NUM
ejpam-6051	164	5	0.05	0.05	NUM
ejpam-6051	164	6	0.1	0.1	NUM
ejpam-6051	164	7	0.15	0.15	NUM
ejpam-6051	164	8	0.2	0.2	NUM
ejpam-6051	164	9	y	y	NOUN
ejpam-6051	164	10	x	x	PRON
ejpam-6051	164	11	figure	figure	NOUN
ejpam-6051	164	12	2	2	NUM
ejpam-6051	164	13	:	:	PUNCT
ejpam-6051	164	14	fuzzy	fuzzy	ADJ
ejpam-6051	164	15	solution	solution	NOUN
ejpam-6051	164	16	of	of	ADP
ejpam-6051	164	17	example	example	NOUN
ejpam-6051	164	18	2	2	NUM
ejpam-6051	164	19	.	.	NOUN
ejpam-6051	164	20	example	example	NOUN
ejpam-6051	165	1	3	3	X
ejpam-6051	165	2	.	.	PUNCT
ejpam-6051	165	3	let	let	VERB
ejpam-6051	165	4	’s	’s	NOUN
ejpam-6051	165	5	imagine	imagine	VERB
ejpam-6051	165	6	another	another	DET
ejpam-6051	165	7	two	two	NUM
ejpam-6051	165	8	-	-	PUNCT
ejpam-6051	165	9	dimension	dimension	NOUN
ejpam-6051	165	10	fuzzy	fuzzy	ADJ
ejpam-6051	165	11	heat	heat	NOUN
ejpam-6051	165	12	equation	equation	NOUN
ejpam-6051	165	13	as	as	ADP
ejpam-6051	165	14	in	in	ADP
ejpam-6051	165	15	[	[	PUNCT
ejpam-6051	165	16	11].	11].	NUM
ejpam-6051	165	17	∂β	∂β	PROPN
ejpam-6051	165	18	∂tβ	∂tβ	PROPN
ejpam-6051	165	19	φ̆(x	φ̆(x	NOUN
ejpam-6051	165	20	,	,	PUNCT
ejpam-6051	165	21	λ̆	λ̆	PROPN
ejpam-6051	165	22	,	,	PUNCT
ejpam-6051	165	23	t	t	PROPN
ejpam-6051	165	24	,	,	PUNCT
ejpam-6051	165	25	y	y	PROPN
ejpam-6051	165	26	)	)	PUNCT
ejpam-6051	165	27	=	=	SYM
ejpam-6051	165	28	1	1	NUM
ejpam-6051	165	29	2(x+	2(x+	NUM
ejpam-6051	165	30	y	y	NOUN
ejpam-6051	165	31	)	)	PUNCT
ejpam-6051	165	32	[	[	PUNCT
ejpam-6051	165	33	∂2	∂2	NUM
ejpam-6051	165	34	∂x2	∂x2	NOUN
ejpam-6051	165	35	φ̆(x	φ̆(x	NOUN
ejpam-6051	165	36	,	,	PUNCT
ejpam-6051	165	37	λ̆	λ̆	PROPN
ejpam-6051	165	38	,	,	PUNCT
ejpam-6051	165	39	t	t	PROPN
ejpam-6051	165	40	,	,	PUNCT
ejpam-6051	165	41	y	y	PROPN
ejpam-6051	165	42	)	)	PUNCT
ejpam-6051	166	1	+	+	CCONJ
ejpam-6051	166	2	∂2	∂2	ADJ
ejpam-6051	166	3	∂y2	∂y2	NOUN
ejpam-6051	166	4	φ̆(x	φ̆(x	NOUN
ejpam-6051	166	5	,	,	PUNCT
ejpam-6051	166	6	λ̆	λ̆	PROPN
ejpam-6051	166	7	,	,	PUNCT
ejpam-6051	166	8	t	t	PROPN
ejpam-6051	166	9	,	,	PUNCT
ejpam-6051	166	10	y	y	PROPN
ejpam-6051	166	11	)	)	PUNCT
ejpam-6051	166	12	]	]	PUNCT
ejpam-6051	167	1	+	+	CCONJ
ejpam-6051	167	2	t4	t4	PROPN
ejpam-6051	167	3	+	+	CCONJ
ejpam-6051	167	4	x+	x+	PROPN
ejpam-6051	167	5	y	y	PROPN
ejpam-6051	167	6	,	,	PUNCT
ejpam-6051	167	7	1	1	NUM
ejpam-6051	167	8	≥	≥	NOUN
ejpam-6051	167	9	λ̆	λ̆	NOUN
ejpam-6051	167	10	≥	≥	NOUN
ejpam-6051	167	11	0	0	NUM
ejpam-6051	167	12	;	;	PUNCT
ejpam-6051	167	13	0	0	NUM
ejpam-6051	167	14	<	<	X
ejpam-6051	167	15	β	β	X
ejpam-6051	167	16	<	<	X
ejpam-6051	167	17	1	1	NUM
ejpam-6051	167	18	;	;	PUNCT
ejpam-6051	167	19	t	t	PROPN
ejpam-6051	167	20	>	>	X
ejpam-6051	167	21	0	0	NUM
ejpam-6051	167	22	,	,	PUNCT
ejpam-6051	167	23	φ̆(x	φ̆(x	NOUN
ejpam-6051	167	24	,	,	PUNCT
ejpam-6051	167	25	y	y	PROPN
ejpam-6051	167	26	,	,	PUNCT
ejpam-6051	167	27	0	0	NUM
ejpam-6051	167	28	)	)	PUNCT
ejpam-6051	167	29	=	=	SYM
ejpam-6051	168	1	λ̆(x+	λ̆(x+	PROPN
ejpam-6051	168	2	y)2	y)2	NOUN
ejpam-6051	168	3	,	,	PUNCT
ejpam-6051	168	4	x	x	X
ejpam-6051	168	5	<	<	X
ejpam-6051	168	6	1	1	NUM
ejpam-6051	168	7	,	,	PUNCT
ejpam-6051	168	8	y	y	PROPN
ejpam-6051	168	9	>	>	X
ejpam-6051	168	10	0	0	NUM
ejpam-6051	168	11	,	,	PUNCT
ejpam-6051	168	12	(	(	PUNCT
ejpam-6051	168	13	18	18	NUM
ejpam-6051	168	14	)	)	PUNCT
ejpam-6051	168	15	where	where	SCONJ
ejpam-6051	168	16	λ̆	λ̆	PRON
ejpam-6051	168	17	=	=	PUNCT
ejpam-6051	169	1	[	[	X
ejpam-6051	169	2	λ	λ	X
ejpam-6051	169	3	,	,	PUNCT
ejpam-6051	169	4	λ	λ	PROPN
ejpam-6051	169	5	]	]	X
ejpam-6051	169	6	,	,	PUNCT
ejpam-6051	169	7	such	such	ADJ
ejpam-6051	169	8	that	that	SCONJ
ejpam-6051	169	9	λ	λ	PROPN
ejpam-6051	169	10	=	=	SYM
ejpam-6051	169	11	λ−	λ−	PROPN
ejpam-6051	169	12	1	1	NUM
ejpam-6051	169	13	,	,	PUNCT
ejpam-6051	169	14	λ	λ	X
ejpam-6051	169	15	=	=	SYM
ejpam-6051	169	16	1−	1−	NUM
ejpam-6051	169	17	λ	λ	PROPN
ejpam-6051	169	18	.	.	PROPN
ejpam-6051	169	19	m.	m.	PROPN
ejpam-6051	169	20	usman	usman	PROPN
ejpam-6051	169	21	et	et	PROPN
ejpam-6051	169	22	al	al	PROPN
ejpam-6051	169	23	.	.	PUNCT
ejpam-6051	169	24	/	/	SYM
ejpam-6051	169	25	eur	eur	PROPN
ejpam-6051	169	26	.	.	PUNCT
ejpam-6051	170	1	j.	j.	PROPN
ejpam-6051	170	2	pure	pure	PROPN
ejpam-6051	170	3	appl	appl	PROPN
ejpam-6051	170	4	.	.	PROPN
ejpam-6051	170	5	math	math	PROPN
ejpam-6051	170	6	,	,	PUNCT
ejpam-6051	170	7	18	18	NUM
ejpam-6051	170	8	(	(	PUNCT
ejpam-6051	170	9	2	2	NUM
ejpam-6051	170	10	)	)	PUNCT
ejpam-6051	170	11	(	(	PUNCT
ejpam-6051	170	12	2025	2025	NUM
ejpam-6051	170	13	)	)	PUNCT
ejpam-6051	170	14	,	,	PUNCT
ejpam-6051	170	15	6051	6051	NUM
ejpam-6051	170	16	8	8	NUM
ejpam-6051	170	17	of	of	ADP
ejpam-6051	170	18	10	10	NUM
ejpam-6051	170	19	now	now	ADV
ejpam-6051	170	20	using	use	VERB
ejpam-6051	170	21	equation(12	equation(12	NOUN
ejpam-6051	170	22	)	)	PUNCT
ejpam-6051	170	23	and	and	CCONJ
ejpam-6051	170	24	(	(	PUNCT
ejpam-6051	170	25	15	15	NUM
ejpam-6051	170	26	)	)	PUNCT
ejpam-6051	170	27	,	,	PUNCT
ejpam-6051	170	28	we	we	PRON
ejpam-6051	170	29	can	can	AUX
ejpam-6051	170	30	write	write	VERB
ejpam-6051	170	31	as	as	SCONJ
ejpam-6051	170	32	follows	follow	VERB
ejpam-6051	170	33	:	:	PUNCT
ejpam-6051	170	34	φ̆0(x	φ̆0(x	NOUN
ejpam-6051	170	35	,	,	PUNCT
ejpam-6051	170	36	λ̆	λ̆	PROPN
ejpam-6051	170	37	,	,	PUNCT
ejpam-6051	170	38	t	t	PROPN
ejpam-6051	170	39	,	,	PUNCT
ejpam-6051	170	40	y	y	PROPN
ejpam-6051	170	41	)	)	PUNCT
ejpam-6051	170	42	=	=	PUNCT
ejpam-6051	171	1	k̆(x+	k̆(x+	ADP
ejpam-6051	171	2	y)2	y)2	NOUN
ejpam-6051	171	3	,	,	PUNCT
ejpam-6051	171	4	φ̆1(x	φ̆1(x	PROPN
ejpam-6051	171	5	,	,	PUNCT
ejpam-6051	171	6	λ̆	λ̆	PROPN
ejpam-6051	171	7	,	,	PUNCT
ejpam-6051	171	8	t	t	PROPN
ejpam-6051	171	9	,	,	PUNCT
ejpam-6051	171	10	y	y	PROPN
ejpam-6051	171	11	)	)	PUNCT
ejpam-6051	171	12	=	=	PUNCT
ejpam-6051	172	1	λ̆[(2).(x+	λ̆[(2).(x+	NOUN
ejpam-6051	172	2	y)(2	y)(2	NOUN
ejpam-6051	172	3	)	)	PUNCT
ejpam-6051	173	1	+	+	CCONJ
ejpam-6051	173	2	(	(	PUNCT
ejpam-6051	173	3	x+	x+	ADJ
ejpam-6051	173	4	y	y	NOUN
ejpam-6051	173	5	)	)	PUNCT
ejpam-6051	173	6	]	]	PUNCT
ejpam-6051	174	1	tβ	tβ	X
ejpam-6051	174	2	γ(β	γ(β	PROPN
ejpam-6051	174	3	+	+	CCONJ
ejpam-6051	174	4	1	1	NUM
ejpam-6051	174	5	)	)	PUNCT
ejpam-6051	175	1	+	+	CCONJ
ejpam-6051	175	2	tβ+4	tβ+4	PRON
ejpam-6051	175	3	γ(β	γ(β	PROPN
ejpam-6051	175	4	+	+	CCONJ
ejpam-6051	175	5	5	5	NUM
ejpam-6051	175	6	)	)	PUNCT
ejpam-6051	175	7	,	,	PUNCT
ejpam-6051	175	8	φ̆2(x	φ̆2(x	PROPN
ejpam-6051	175	9	,	,	PUNCT
ejpam-6051	175	10	λ̆	λ̆	PROPN
ejpam-6051	175	11	,	,	PUNCT
ejpam-6051	175	12	t	t	PROPN
ejpam-6051	175	13	,	,	PUNCT
ejpam-6051	175	14	y	y	PROPN
ejpam-6051	175	15	)	)	PUNCT
ejpam-6051	175	16	=	=	PUNCT
ejpam-6051	176	1	λ̆[(4).(x+	λ̆[(4).(x+	NOUN
ejpam-6051	176	2	y)(2	y)(2	NOUN
ejpam-6051	176	3	)	)	PUNCT
ejpam-6051	176	4	]	]	PUNCT
ejpam-6051	177	1	t2β	t2β	NOUN
ejpam-6051	177	2	γ(2β	γ(2β	SYM
ejpam-6051	177	3	+	+	NOUN
ejpam-6051	177	4	1	1	NUM
ejpam-6051	177	5	)	)	PUNCT
ejpam-6051	177	6	,	,	PUNCT
ejpam-6051	177	7	φ̆3(x	φ̆3(x	PROPN
ejpam-6051	177	8	,	,	PUNCT
ejpam-6051	177	9	λ̆	λ̆	PROPN
ejpam-6051	177	10	,	,	PUNCT
ejpam-6051	177	11	t	t	PROPN
ejpam-6051	177	12	,	,	PUNCT
ejpam-6051	177	13	y	y	NOUN
ejpam-6051	177	14	)	)	PUNCT
ejpam-6051	177	15	=	=	PUNCT
ejpam-6051	178	1	λ̆[(8).(x+	λ̆[(8).(x+	ADJ
ejpam-6051	178	2	y)(2	y)(2	NOUN
ejpam-6051	178	3	)	)	PUNCT
ejpam-6051	178	4	]	]	PUNCT
ejpam-6051	178	5	t3β	t3β	NUM
ejpam-6051	178	6	γ(3β	γ(3β	PUNCT
ejpam-6051	178	7	+	+	SYM
ejpam-6051	178	8	1	1	NUM
ejpam-6051	178	9	)	)	PUNCT
ejpam-6051	178	10	.	.	PUNCT
ejpam-6051	179	1	hence	hence	ADV
ejpam-6051	179	2	the	the	DET
ejpam-6051	179	3	solution	solution	NOUN
ejpam-6051	179	4	(	(	PUNCT
ejpam-6051	179	5	final	final	ADJ
ejpam-6051	179	6	solution	solution	NOUN
ejpam-6051	179	7	)	)	PUNCT
ejpam-6051	179	8	can	can	AUX
ejpam-6051	179	9	be	be	AUX
ejpam-6051	179	10	written	write	VERB
ejpam-6051	179	11	as	as	SCONJ
ejpam-6051	179	12	follows	follow	VERB
ejpam-6051	179	13	,	,	PUNCT
ejpam-6051	179	14	φ̆(x	φ̆(x	NOUN
ejpam-6051	179	15	,	,	PUNCT
ejpam-6051	179	16	λ̆	λ̆	PROPN
ejpam-6051	179	17	,	,	PUNCT
ejpam-6051	179	18	t	t	PROPN
ejpam-6051	179	19	,	,	PUNCT
ejpam-6051	179	20	y	y	NOUN
ejpam-6051	179	21	)	)	PUNCT
ejpam-6051	179	22	=	=	SYM
ejpam-6051	179	23	φ̆0(x	φ̆0(x	PROPN
ejpam-6051	179	24	,	,	PUNCT
ejpam-6051	179	25	λ̆	λ̆	PROPN
ejpam-6051	179	26	,	,	PUNCT
ejpam-6051	179	27	t	t	PROPN
ejpam-6051	179	28	,	,	PUNCT
ejpam-6051	179	29	y	y	PROPN
ejpam-6051	179	30	)	)	PUNCT
ejpam-6051	179	31	+	+	CCONJ
ejpam-6051	179	32	φ̆1(x	φ̆1(x	PROPN
ejpam-6051	179	33	,	,	PUNCT
ejpam-6051	179	34	λ̆	λ̆	PROPN
ejpam-6051	179	35	,	,	PUNCT
ejpam-6051	179	36	t	t	PROPN
ejpam-6051	179	37	,	,	PUNCT
ejpam-6051	179	38	y	y	PROPN
ejpam-6051	179	39	)	)	PUNCT
ejpam-6051	180	1	+	+	CCONJ
ejpam-6051	180	2	φ̆2(x	φ̆2(x	PROPN
ejpam-6051	180	3	,	,	PUNCT
ejpam-6051	180	4	λ̆	λ̆	PROPN
ejpam-6051	180	5	,	,	PUNCT
ejpam-6051	180	6	t	t	PROPN
ejpam-6051	180	7	,	,	PUNCT
ejpam-6051	180	8	y	y	PROPN
ejpam-6051	180	9	)	)	PUNCT
ejpam-6051	180	10	+	+	CCONJ
ejpam-6051	180	11	φ̆3(x	φ̆3(x	PROPN
ejpam-6051	180	12	,	,	PUNCT
ejpam-6051	180	13	λ̆	λ̆	PROPN
ejpam-6051	180	14	,	,	PUNCT
ejpam-6051	180	15	t	t	PROPN
ejpam-6051	180	16	,	,	PUNCT
ejpam-6051	180	17	y	y	PROPN
ejpam-6051	180	18	)	)	PUNCT
ejpam-6051	180	19	.	.	PUNCT
ejpam-6051	181	1	.	.	PUNCT
ejpam-6051	181	2	.	.	PUNCT
ejpam-6051	182	1	.	.	PUNCT
ejpam-6051	183	1	now	now	ADV
ejpam-6051	183	2	if	if	SCONJ
ejpam-6051	183	3	the	the	DET
ejpam-6051	183	4	source	source	NOUN
ejpam-6051	183	5	term	term	NOUN
ejpam-6051	183	6	is	be	AUX
ejpam-6051	183	7	zero	zero	NUM
ejpam-6051	183	8	,	,	PUNCT
ejpam-6051	183	9	then	then	ADV
ejpam-6051	183	10	the	the	DET
ejpam-6051	183	11	analytical	analytical	ADJ
ejpam-6051	183	12	solution	solution	NOUN
ejpam-6051	183	13	of	of	ADP
ejpam-6051	183	14	the	the	DET
ejpam-6051	183	15	aforesaid	aforesaid	ADJ
ejpam-6051	183	16	problem	problem	NOUN
ejpam-6051	183	17	can	can	AUX
ejpam-6051	183	18	be	be	AUX
ejpam-6051	183	19	written	write	VERB
ejpam-6051	183	20	as	as	ADP
ejpam-6051	183	21	;	;	PUNCT
ejpam-6051	183	22	φ̆(x	φ̆(x	NOUN
ejpam-6051	183	23	,	,	PUNCT
ejpam-6051	183	24	λ̆	λ̆	PROPN
ejpam-6051	183	25	,	,	PUNCT
ejpam-6051	183	26	t	t	PROPN
ejpam-6051	183	27	,	,	PUNCT
ejpam-6051	183	28	y	y	NOUN
ejpam-6051	183	29	)	)	PUNCT
ejpam-6051	183	30	=	=	PUNCT
ejpam-6051	184	1	∞∑	∞∑	NUM
ejpam-6051	184	2	n=2	n=2	ADV
ejpam-6051	184	3	2ntnβ	2ntnβ	NUM
ejpam-6051	184	4	γ(nβ	γ(nβ	NOUN
ejpam-6051	184	5	+	+	CCONJ
ejpam-6051	184	6	1	1	NUM
ejpam-6051	184	7	)	)	PUNCT
ejpam-6051	184	8	λ(x+	λ(x+	PRON
ejpam-6051	184	9	y)2	y)2	NOUN
ejpam-6051	184	10	.	.	PUNCT
ejpam-6051	185	1	0	0	NUM
ejpam-6051	185	2	0.1	0.1	NUM
ejpam-6051	185	3	0.2	0.2	NUM
ejpam-6051	185	4	0.3	0.3	NUM
ejpam-6051	185	5	0.4	0.4	NUM
ejpam-6051	185	6	0.5	0.5	NUM
ejpam-6051	185	7	0.6	0.6	NUM
ejpam-6051	185	8	0.7	0.7	NUM
ejpam-6051	185	9	0.8	0.8	NUM
ejpam-6051	185	10	0.9	0.9	NUM
ejpam-6051	185	11	1	1	NUM
ejpam-6051	185	12	0	0	NUM
ejpam-6051	185	13	0.2	0.2	NUM
ejpam-6051	185	14	0.4	0.4	NUM
ejpam-6051	185	15	0.6	0.6	NUM
ejpam-6051	185	16	0.8	0.8	NUM
ejpam-6051	185	17	1−0.4	1−0.4	NUM
ejpam-6051	185	18	−0.2	−0.2	PROPN
ejpam-6051	185	19	0	0	NUM
ejpam-6051	185	20	0.2	0.2	NUM
ejpam-6051	185	21	0.4	0.4	NUM
ejpam-6051	185	22	y	y	NOUN
ejpam-6051	185	23	x	x	PROPN
ejpam-6051	185	24	u1	u1	PROPN
ejpam-6051	185	25	u2	u2	NOUN
ejpam-6051	185	26	figure	figure	NOUN
ejpam-6051	185	27	3	3	NUM
ejpam-6051	185	28	:	:	PUNCT
ejpam-6051	185	29	fuzzy	fuzzy	ADJ
ejpam-6051	185	30	solution	solution	NOUN
ejpam-6051	185	31	of	of	ADP
ejpam-6051	185	32	example	example	NOUN
ejpam-6051	185	33	3	3	NUM
ejpam-6051	185	34	.	.	NOUN
ejpam-6051	185	35	5	5	NUM
ejpam-6051	185	36	.	.	X
ejpam-6051	185	37	conclusion	conclusion	NOUN
ejpam-6051	185	38	in	in	ADP
ejpam-6051	185	39	this	this	DET
ejpam-6051	185	40	work	work	NOUN
ejpam-6051	185	41	a	a	DET
ejpam-6051	185	42	new	new	ADJ
ejpam-6051	185	43	and	and	CCONJ
ejpam-6051	185	44	a	a	DET
ejpam-6051	185	45	hybrid	hybrid	ADJ
ejpam-6051	185	46	mechanism	mechanism	NOUN
ejpam-6051	185	47	that	that	PRON
ejpam-6051	185	48	consisting	consist	VERB
ejpam-6051	185	49	of	of	ADP
ejpam-6051	185	50	natural	natural	ADJ
ejpam-6051	185	51	transform	transform	NOUN
ejpam-6051	185	52	(	(	PUNCT
ejpam-6051	185	53	nt	not	PART
ejpam-6051	185	54	)	)	PUNCT
ejpam-6051	185	55	and	and	CCONJ
ejpam-6051	185	56	a	a	DET
ejpam-6051	185	57	series	series	NOUN
ejpam-6051	185	58	solution	solution	NOUN
ejpam-6051	185	59	method	method	NOUN
ejpam-6051	185	60	(	(	PUNCT
ejpam-6051	185	61	adomian	adomian	NOUN
ejpam-6051	185	62	decomposition	decomposition	NOUN
ejpam-6051	185	63	method	method	NOUN
ejpam-6051	185	64	)	)	PUNCT
ejpam-6051	185	65	(	(	PUNCT
ejpam-6051	185	66	adm	adm	PROPN
ejpam-6051	185	67	)	)	PUNCT
ejpam-6051	185	68	have	have	AUX
ejpam-6051	185	69	been	be	AUX
ejpam-6051	185	70	successfully	successfully	ADV
ejpam-6051	185	71	handled	handle	VERB
ejpam-6051	185	72	and	and	CCONJ
ejpam-6051	185	73	a	a	DET
ejpam-6051	185	74	general	general	ADJ
ejpam-6051	185	75	algorithm	algorithm	NOUN
ejpam-6051	185	76	is	be	AUX
ejpam-6051	185	77	developed	develop	VERB
ejpam-6051	185	78	for	for	ADP
ejpam-6051	185	79	the	the	DET
ejpam-6051	185	80	solution	solution	NOUN
ejpam-6051	185	81	of	of	ADP
ejpam-6051	185	82	2	2	NUM
ejpam-6051	185	83	-	-	PUNCT
ejpam-6051	185	84	d	d	ADV
ejpam-6051	185	85	fuzzy	fuzzy	ADJ
ejpam-6051	185	86	fractional	fractional	ADJ
ejpam-6051	185	87	order	order	NOUN
ejpam-6051	185	88	heat	heat	NOUN
ejpam-6051	185	89	equations	equation	NOUN
ejpam-6051	185	90	having	have	VERB
ejpam-6051	185	91	a	a	DET
ejpam-6051	185	92	source	source	NOUN
ejpam-6051	185	93	term	term	NOUN
ejpam-6051	185	94	.	.	PUNCT
ejpam-6051	186	1	the	the	DET
ejpam-6051	186	2	process	process	NOUN
ejpam-6051	186	3	of	of	ADP
ejpam-6051	186	4	the	the	DET
ejpam-6051	186	5	solution	solution	NOUN
ejpam-6051	186	6	started	start	VERB
ejpam-6051	186	7	by	by	ADP
ejpam-6051	186	8	the	the	DET
ejpam-6051	186	9	parametric	parametric	ADJ
ejpam-6051	186	10	form	form	NOUN
ejpam-6051	186	11	of	of	ADP
ejpam-6051	186	12	the	the	DET
ejpam-6051	186	13	2	2	NUM
ejpam-6051	186	14	-	-	PUNCT
ejpam-6051	186	15	d	d	NOUN
ejpam-6051	186	16	heat	heat	NOUN
ejpam-6051	186	17	equation	equation	NOUN
ejpam-6051	186	18	.	.	PUNCT
ejpam-6051	187	1	later	later	ADV
ejpam-6051	187	2	on	on	ADV
ejpam-6051	187	3	,	,	PUNCT
ejpam-6051	187	4	the	the	DET
ejpam-6051	187	5	aforesaid	aforesaid	ADJ
ejpam-6051	187	6	mechanism	mechanism	NOUN
ejpam-6051	187	7	is	be	AUX
ejpam-6051	187	8	applied	apply	VERB
ejpam-6051	187	9	to	to	ADP
ejpam-6051	187	10	the	the	DET
ejpam-6051	187	11	problem	problem	NOUN
ejpam-6051	187	12	,	,	PUNCT
ejpam-6051	187	13	the	the	DET
ejpam-6051	187	14	solution	solution	NOUN
ejpam-6051	187	15	which	which	PRON
ejpam-6051	187	16	is	be	AUX
ejpam-6051	187	17	obtained	obtain	VERB
ejpam-6051	187	18	for	for	ADP
ejpam-6051	187	19	the	the	DET
ejpam-6051	187	20	unknown	unknown	ADJ
ejpam-6051	187	21	function	function	NOUN
ejpam-6051	187	22	is	be	AUX
ejpam-6051	187	23	m.	m.	NOUN
ejpam-6051	187	24	usman	usman	PROPN
ejpam-6051	187	25	et	et	PROPN
ejpam-6051	187	26	al	al	PROPN
ejpam-6051	187	27	.	.	PUNCT
ejpam-6051	187	28	/	/	SYM
ejpam-6051	187	29	eur	eur	PROPN
ejpam-6051	187	30	.	.	PUNCT
ejpam-6051	188	1	j.	j.	PROPN
ejpam-6051	188	2	pure	pure	PROPN
ejpam-6051	188	3	appl	appl	PROPN
ejpam-6051	188	4	.	.	PROPN
ejpam-6051	188	5	math	math	PROPN
ejpam-6051	188	6	,	,	PUNCT
ejpam-6051	188	7	18	18	NUM
ejpam-6051	188	8	(	(	PUNCT
ejpam-6051	188	9	2	2	NUM
ejpam-6051	188	10	)	)	PUNCT
ejpam-6051	188	11	(	(	PUNCT
ejpam-6051	188	12	2025	2025	NUM
ejpam-6051	188	13	)	)	PUNCT
ejpam-6051	188	14	,	,	PUNCT
ejpam-6051	188	15	6051	6051	NUM
ejpam-6051	188	16	9	9	NUM
ejpam-6051	188	17	of	of	ADP
ejpam-6051	188	18	10	10	NUM
ejpam-6051	188	19	written	write	VERB
ejpam-6051	188	20	is	be	AUX
ejpam-6051	188	21	infinite	infinite	ADJ
ejpam-6051	188	22	series	series	NOUN
ejpam-6051	188	23	form	form	NOUN
ejpam-6051	188	24	.	.	PUNCT
ejpam-6051	189	1	during	during	ADP
ejpam-6051	189	2	analysis	analysis	NOUN
ejpam-6051	189	3	,	,	PUNCT
ejpam-6051	189	4	it	it	PRON
ejpam-6051	189	5	was	be	AUX
ejpam-6051	189	6	observed	observe	VERB
ejpam-6051	189	7	that	that	SCONJ
ejpam-6051	189	8	as	as	SCONJ
ejpam-6051	189	9	the	the	DET
ejpam-6051	189	10	uncertainty(λ̆	uncertainty(λ̆	PROPN
ejpam-6051	189	11	)	)	PUNCT
ejpam-6051	189	12	increases	increase	VERB
ejpam-6051	189	13	the	the	DET
ejpam-6051	189	14	distance	distance	NOUN
ejpam-6051	189	15	between	between	ADP
ejpam-6051	189	16	the	the	DET
ejpam-6051	189	17	upper	upper	ADJ
ejpam-6051	189	18	and	and	CCONJ
ejpam-6051	189	19	lower	low	ADJ
ejpam-6051	189	20	solution	solution	NOUN
ejpam-6051	189	21	increases	increase	NOUN
ejpam-6051	189	22	.	.	PUNCT
ejpam-6051	190	1	moreover	moreover	ADV
ejpam-6051	190	2	,	,	PUNCT
ejpam-6051	190	3	the	the	DET
ejpam-6051	190	4	joint	joint	ADJ
ejpam-6051	190	5	mechanism	mechanism	NOUN
ejpam-6051	190	6	which	which	PRON
ejpam-6051	190	7	is	be	AUX
ejpam-6051	190	8	developed	develop	VERB
ejpam-6051	190	9	for	for	ADP
ejpam-6051	190	10	the	the	DET
ejpam-6051	190	11	problem	problem	NOUN
ejpam-6051	190	12	were	be	AUX
ejpam-6051	190	13	found	find	VERB
ejpam-6051	190	14	rapid	rapid	ADJ
ejpam-6051	190	15	and	and	CCONJ
ejpam-6051	190	16	accurate	accurate	ADJ
ejpam-6051	190	17	.	.	PUNCT
ejpam-6051	191	1	hence	hence	ADV
ejpam-6051	191	2	the	the	DET
ejpam-6051	191	3	mechanism	mechanism	NOUN
ejpam-6051	191	4	is	be	AUX
ejpam-6051	191	5	suggested	suggest	VERB
ejpam-6051	191	6	for	for	ADP
ejpam-6051	191	7	the	the	DET
ejpam-6051	191	8	solution	solution	NOUN
ejpam-6051	191	9	of	of	ADP
ejpam-6051	191	10	linear	linear	PROPN
ejpam-6051	191	11	and	and	CCONJ
ejpam-6051	191	12	non	non	ADJ
ejpam-6051	191	13	-	-	ADJ
ejpam-6051	191	14	linear	linear	ADJ
ejpam-6051	191	15	problems	problem	NOUN
ejpam-6051	191	16	.	.	PUNCT
ejpam-6051	192	1	acknowledgements	acknowledgement	NOUN
ejpam-6051	192	2	the	the	DET
ejpam-6051	192	3	authors	author	NOUN
ejpam-6051	192	4	would	would	AUX
ejpam-6051	192	5	like	like	VERB
ejpam-6051	192	6	to	to	PART
ejpam-6051	192	7	thank	thank	VERB
ejpam-6051	192	8	prince	prince	PROPN
ejpam-6051	192	9	sultan	sultan	PROPN
ejpam-6051	192	10	university	university	PROPN
ejpam-6051	192	11	for	for	ADP
ejpam-6051	192	12	the	the	DET
ejpam-6051	192	13	apc	apc	PROPN
ejpam-6051	192	14	and	and	CCONJ
ejpam-6051	192	15	support	support	VERB
ejpam-6051	192	16	through	through	ADP
ejpam-6051	192	17	the	the	DET
ejpam-6051	192	18	tas	tas	PROPN
ejpam-6051	192	19	research	research	NOUN
ejpam-6051	192	20	lab	lab	NOUN
ejpam-6051	192	21	.	.	PUNCT
ejpam-6051	193	1	references	reference	NOUN
ejpam-6051	193	2	[	[	X
ejpam-6051	193	3	1	1	NUM
ejpam-6051	193	4	]	]	PUNCT
ejpam-6051	193	5	ravi	ravi	NOUN
ejpam-6051	193	6	p	p	PROPN
ejpam-6051	193	7	agarwal	agarwal	PROPN
ejpam-6051	193	8	,	,	PUNCT
ejpam-6051	193	9	v	v	ADP
ejpam-6051	193	10	lakshmikantham	lakshmikantham	NOUN
ejpam-6051	193	11	,	,	PUNCT
ejpam-6051	193	12	and	and	CCONJ
ejpam-6051	193	13	juan	juan	PROPN
ejpam-6051	193	14	j	j	PROPN
ejpam-6051	193	15	nieto	nieto	PROPN
ejpam-6051	193	16	.	.	PUNCT
ejpam-6051	194	1	on	on	ADP
ejpam-6051	194	2	the	the	DET
ejpam-6051	194	3	concept	concept	NOUN
ejpam-6051	194	4	of	of	ADP
ejpam-6051	194	5	solution	solution	NOUN
ejpam-6051	194	6	for	for	ADP
ejpam-6051	194	7	fractional	fractional	ADJ
ejpam-6051	194	8	differential	differential	ADJ
ejpam-6051	194	9	equations	equation	NOUN
ejpam-6051	194	10	with	with	ADP
ejpam-6051	194	11	uncertainty	uncertainty	NOUN
ejpam-6051	194	12	.	.	PUNCT
ejpam-6051	195	1	nonlinear	nonlinear	ADJ
ejpam-6051	195	2	analysis	analysis	NOUN
ejpam-6051	195	3	:	:	PUNCT
ejpam-6051	195	4	theory	theory	NOUN
ejpam-6051	195	5	,	,	PUNCT
ejpam-6051	195	6	methods	method	NOUN
ejpam-6051	195	7	&	&	CCONJ
ejpam-6051	195	8	applications	application	NOUN
ejpam-6051	195	9	,	,	PUNCT
ejpam-6051	195	10	72(6):2859–2862	72(6):2859–2862	NUM
ejpam-6051	195	11	,	,	PUNCT
ejpam-6051	195	12	2010	2010	NUM
ejpam-6051	195	13	.	.	PUNCT
ejpam-6051	196	1	[	[	X
ejpam-6051	196	2	2	2	NUM
ejpam-6051	196	3	]	]	X
ejpam-6051	196	4	edinburgh	edinburgh	PROPN
ejpam-6051	196	5	mathematical	mathematical	PROPN
ejpam-6051	196	6	society	society	NOUN
ejpam-6051	196	7	.	.	PUNCT
ejpam-6051	197	1	proceedings	proceeding	NOUN
ejpam-6051	197	2	of	of	ADP
ejpam-6051	197	3	the	the	DET
ejpam-6051	197	4	edinburgh	edinburgh	PROPN
ejpam-6051	197	5	mathematical	mathematical	PROPN
ejpam-6051	197	6	society	society	NOUN
ejpam-6051	197	7	,	,	PUNCT
ejpam-6051	197	8	volume	volume	NOUN
ejpam-6051	197	9	9	9	NUM
ejpam-6051	197	10	.	.	PUNCT
ejpam-6051	198	1	scottish	scottish	ADJ
ejpam-6051	198	2	academic	academic	ADJ
ejpam-6051	198	3	press	press	NOUN
ejpam-6051	198	4	,	,	PUNCT
ejpam-6051	198	5	1891	1891	NUM
ejpam-6051	198	6	.	.	PUNCT
ejpam-6051	199	1	[	[	X
ejpam-6051	199	2	3	3	NUM
ejpam-6051	199	3	]	]	X
ejpam-6051	199	4	kenneth	kenneth	PROPN
ejpam-6051	199	5	s	s	PROPN
ejpam-6051	199	6	miller	miller	PROPN
ejpam-6051	199	7	and	and	CCONJ
ejpam-6051	199	8	bertram	bertram	PROPN
ejpam-6051	199	9	ross	ross	PROPN
ejpam-6051	199	10	.	.	PUNCT
ejpam-6051	200	1	an	an	DET
ejpam-6051	200	2	introduction	introduction	NOUN
ejpam-6051	200	3	to	to	ADP
ejpam-6051	200	4	the	the	DET
ejpam-6051	200	5	fractional	fractional	ADJ
ejpam-6051	200	6	calculus	calculus	NOUN
ejpam-6051	200	7	and	and	CCONJ
ejpam-6051	200	8	fractional	fractional	ADJ
ejpam-6051	200	9	differential	differential	ADJ
ejpam-6051	200	10	equations	equation	NOUN
ejpam-6051	200	11	.	.	PUNCT
ejpam-6051	201	1	(	(	PUNCT
ejpam-6051	201	2	no	no	DET
ejpam-6051	201	3	title	title	NOUN
ejpam-6051	201	4	)	)	PUNCT
ejpam-6051	201	5	,	,	PUNCT
ejpam-6051	201	6	1993	1993	NUM
ejpam-6051	201	7	.	.	PUNCT
ejpam-6051	202	1	[	[	X
ejpam-6051	202	2	4	4	X
ejpam-6051	202	3	]	]	X
ejpam-6051	202	4	varsha	varsha	PROPN
ejpam-6051	202	5	daftardar	daftardar	NOUN
ejpam-6051	202	6	-	-	PUNCT
ejpam-6051	202	7	gejji	gejji	NOUN
ejpam-6051	202	8	and	and	CCONJ
ejpam-6051	202	9	azizollah	azizollah	PROPN
ejpam-6051	202	10	babakhani	babakhani	PROPN
ejpam-6051	202	11	.	.	PUNCT
ejpam-6051	203	1	analysis	analysis	NOUN
ejpam-6051	203	2	of	of	ADP
ejpam-6051	203	3	a	a	DET
ejpam-6051	203	4	system	system	NOUN
ejpam-6051	203	5	of	of	ADP
ejpam-6051	203	6	fractional	fractional	ADJ
ejpam-6051	203	7	differential	differential	ADJ
ejpam-6051	203	8	equations	equation	NOUN
ejpam-6051	203	9	.	.	PUNCT
ejpam-6051	204	1	journal	journal	PROPN
ejpam-6051	204	2	of	of	ADP
ejpam-6051	204	3	mathematical	mathematical	ADJ
ejpam-6051	204	4	analysis	analysis	NOUN
ejpam-6051	204	5	and	and	CCONJ
ejpam-6051	204	6	applications	application	NOUN
ejpam-6051	204	7	,	,	PUNCT
ejpam-6051	204	8	293(2):511–522	293(2):511–522	NUM
ejpam-6051	204	9	,	,	PUNCT
ejpam-6051	204	10	2004	2004	NUM
ejpam-6051	204	11	.	.	PUNCT
ejpam-6051	205	1	[	[	X
ejpam-6051	205	2	5	5	X
ejpam-6051	205	3	]	]	PUNCT
ejpam-6051	205	4	muhammad	muhammad	PROPN
ejpam-6051	205	5	zahid	zahid	PROPN
ejpam-6051	205	6	,	,	PUNCT
ejpam-6051	205	7	fahim	fahim	PROPN
ejpam-6051	205	8	ud	ud	INTJ
ejpam-6051	205	9	din	din	PROPN
ejpam-6051	205	10	,	,	PUNCT
ejpam-6051	205	11	kamal	kamal	PROPN
ejpam-6051	205	12	shah	shah	NOUN
ejpam-6051	205	13	,	,	PUNCT
ejpam-6051	205	14	and	and	CCONJ
ejpam-6051	205	15	thabet	thabet	ADJ
ejpam-6051	205	16	abdeljawad	abdeljawad	NOUN
ejpam-6051	205	17	.	.	PUNCT
ejpam-6051	206	1	fuzzy	fuzzy	ADJ
ejpam-6051	206	2	fixed	fix	VERB
ejpam-6051	206	3	point	point	NOUN
ejpam-6051	206	4	approach	approach	NOUN
ejpam-6051	206	5	to	to	PART
ejpam-6051	206	6	study	study	VERB
ejpam-6051	206	7	the	the	DET
ejpam-6051	206	8	existence	existence	NOUN
ejpam-6051	206	9	of	of	ADP
ejpam-6051	206	10	solution	solution	NOUN
ejpam-6051	206	11	for	for	ADP
ejpam-6051	206	12	volterra	volterra	NOUN
ejpam-6051	206	13	type	type	NOUN
ejpam-6051	206	14	integral	integral	ADJ
ejpam-6051	206	15	equations	equation	NOUN
ejpam-6051	206	16	using	use	VERB
ejpam-6051	206	17	fuzzy	fuzzy	ADJ
ejpam-6051	206	18	sehgal	sehgal	ADJ
ejpam-6051	206	19	contraction	contraction	NOUN
ejpam-6051	206	20	.	.	PUNCT
ejpam-6051	207	1	plos	plos	PROPN
ejpam-6051	207	2	one	one	NUM
ejpam-6051	207	3	,	,	PUNCT
ejpam-6051	207	4	19(6):e0303642	19(6):e0303642	NUM
ejpam-6051	207	5	,	,	PUNCT
ejpam-6051	207	6	2024	2024	NUM
ejpam-6051	207	7	.	.	PUNCT
ejpam-6051	208	1	[	[	X
ejpam-6051	208	2	6	6	NUM
ejpam-6051	208	3	]	]	PUNCT
ejpam-6051	208	4	lotfi	lotfi	PROPN
ejpam-6051	208	5	asker	asker	PROPN
ejpam-6051	208	6	zadeh	zadeh	PROPN
ejpam-6051	208	7	,	,	PUNCT
ejpam-6051	208	8	george	george	PROPN
ejpam-6051	208	9	j	j	PROPN
ejpam-6051	208	10	klir	klir	VERB
ejpam-6051	208	11	,	,	PUNCT
ejpam-6051	208	12	and	and	CCONJ
ejpam-6051	208	13	bo	bo	PROPN
ejpam-6051	208	14	yuan	yuan	PROPN
ejpam-6051	208	15	.	.	PUNCT
ejpam-6051	209	1	fuzzy	fuzzy	ADJ
ejpam-6051	209	2	sets	set	NOUN
ejpam-6051	209	3	,	,	PUNCT
ejpam-6051	209	4	fuzzy	fuzzy	ADJ
ejpam-6051	209	5	logic	logic	NOUN
ejpam-6051	209	6	,	,	PUNCT
ejpam-6051	209	7	and	and	CCONJ
ejpam-6051	209	8	fuzzy	fuzzy	ADJ
ejpam-6051	209	9	systems	system	NOUN
ejpam-6051	209	10	:	:	PUNCT
ejpam-6051	209	11	selected	select	VERB
ejpam-6051	209	12	papers	paper	NOUN
ejpam-6051	209	13	,	,	PUNCT
ejpam-6051	209	14	volume	volume	NOUN
ejpam-6051	209	15	6	6	NUM
ejpam-6051	209	16	.	.	PUNCT
ejpam-6051	210	1	world	world	NOUN
ejpam-6051	210	2	scientific	scientific	ADJ
ejpam-6051	210	3	,	,	PUNCT
ejpam-6051	210	4	1996	1996	NUM
ejpam-6051	210	5	.	.	PUNCT
ejpam-6051	211	1	[	[	X
ejpam-6051	211	2	7	7	X
ejpam-6051	211	3	]	]	X
ejpam-6051	211	4	ss	ss	PROPN
ejpam-6051	211	5	chang	chang	PROPN
ejpam-6051	211	6	.	.	PUNCT
ejpam-6051	212	1	on	on	ADP
ejpam-6051	212	2	fuzzy	fuzzy	ADJ
ejpam-6051	212	3	mapping	mapping	NOUN
ejpam-6051	212	4	and	and	CCONJ
ejpam-6051	212	5	control	control	NOUN
ejpam-6051	212	6	.	.	PUNCT
ejpam-6051	213	1	in	in	ADP
ejpam-6051	213	2	fuzzy	fuzzy	ADJ
ejpam-6051	213	3	sets	set	NOUN
ejpam-6051	213	4	,	,	PUNCT
ejpam-6051	213	5	fuzzy	fuzzy	ADJ
ejpam-6051	213	6	logic	logic	NOUN
ejpam-6051	213	7	,	,	PUNCT
ejpam-6051	213	8	and	and	CCONJ
ejpam-6051	213	9	fuzzy	fuzzy	ADJ
ejpam-6051	213	10	systems	system	NOUN
ejpam-6051	213	11	:	:	PUNCT
ejpam-6051	213	12	selected	select	VERB
ejpam-6051	213	13	papers	paper	NOUN
ejpam-6051	213	14	by	by	ADP
ejpam-6051	213	15	lotfi	lotfi	PROPN
ejpam-6051	213	16	a	a	DET
ejpam-6051	213	17	zadeh	zadeh	PROPN
ejpam-6051	213	18	,	,	PUNCT
ejpam-6051	213	19	1996	1996	NUM
ejpam-6051	213	20	.	.	PUNCT
ejpam-6051	214	1	[	[	X
ejpam-6051	214	2	8	8	NUM
ejpam-6051	214	3	]	]	X
ejpam-6051	214	4	didier	didier	PROPN
ejpam-6051	214	5	dubois	dubois	PROPN
ejpam-6051	214	6	and	and	CCONJ
ejpam-6051	214	7	henri	henri	PROPN
ejpam-6051	214	8	prade	prade	NOUN
ejpam-6051	214	9	.	.	PUNCT
ejpam-6051	215	1	towards	towards	ADP
ejpam-6051	215	2	fuzzy	fuzzy	ADJ
ejpam-6051	215	3	differential	differential	ADJ
ejpam-6051	215	4	calculus	calculus	NOUN
ejpam-6051	215	5	part	part	NOUN
ejpam-6051	215	6	1	1	NUM
ejpam-6051	215	7	:	:	PUNCT
ejpam-6051	215	8	integration	integration	NOUN
ejpam-6051	215	9	of	of	ADP
ejpam-6051	215	10	fuzzy	fuzzy	ADJ
ejpam-6051	215	11	mappings	mapping	NOUN
ejpam-6051	215	12	.	.	PUNCT
ejpam-6051	216	1	fuzzy	fuzzy	ADJ
ejpam-6051	216	2	sets	set	NOUN
ejpam-6051	216	3	and	and	CCONJ
ejpam-6051	216	4	systems	system	NOUN
ejpam-6051	216	5	,	,	PUNCT
ejpam-6051	216	6	8(1):1–17	8(1):1–17	NUM
ejpam-6051	216	7	,	,	PUNCT
ejpam-6051	216	8	1982	1982	NUM
ejpam-6051	216	9	.	.	PUNCT
ejpam-6051	217	1	[	[	X
ejpam-6051	217	2	9	9	NUM
ejpam-6051	217	3	]	]	X
ejpam-6051	217	4	didier	didier	NOUN
ejpam-6051	217	5	dubois	dubois	PROPN
ejpam-6051	217	6	and	and	CCONJ
ejpam-6051	217	7	henri	henri	PROPN
ejpam-6051	217	8	prade	prade	NOUN
ejpam-6051	217	9	.	.	PUNCT
ejpam-6051	218	1	towards	towards	ADP
ejpam-6051	218	2	fuzzy	fuzzy	ADJ
ejpam-6051	218	3	differential	differential	ADJ
ejpam-6051	218	4	calculus	calculus	NOUN
ejpam-6051	218	5	part	part	NOUN
ejpam-6051	218	6	3	3	NUM
ejpam-6051	218	7	:	:	PUNCT
ejpam-6051	218	8	differentiation	differentiation	NOUN
ejpam-6051	218	9	.	.	PUNCT
ejpam-6051	219	1	fuzzy	fuzzy	ADJ
ejpam-6051	219	2	sets	set	NOUN
ejpam-6051	219	3	and	and	CCONJ
ejpam-6051	219	4	systems	system	NOUN
ejpam-6051	219	5	,	,	PUNCT
ejpam-6051	219	6	8(3):225–233	8(3):225–233	NUM
ejpam-6051	219	7	,	,	PUNCT
ejpam-6051	219	8	1982	1982	NUM
ejpam-6051	219	9	.	.	PUNCT
ejpam-6051	220	1	[	[	X
ejpam-6051	220	2	10	10	NUM
ejpam-6051	220	3	]	]	X
ejpam-6051	220	4	didier	didier	PROPN
ejpam-6051	220	5	dubois	dubois	PROPN
ejpam-6051	220	6	and	and	CCONJ
ejpam-6051	220	7	henri	henri	PROPN
ejpam-6051	220	8	prade	prade	NOUN
ejpam-6051	220	9	.	.	PUNCT
ejpam-6051	221	1	towards	towards	ADP
ejpam-6051	221	2	fuzzy	fuzzy	ADJ
ejpam-6051	221	3	differential	differential	ADJ
ejpam-6051	221	4	calculus	calculus	NOUN
ejpam-6051	221	5	part	part	NOUN
ejpam-6051	221	6	2	2	NUM
ejpam-6051	221	7	:	:	PUNCT
ejpam-6051	221	8	integration	integration	NOUN
ejpam-6051	221	9	on	on	ADP
ejpam-6051	221	10	fuzzy	fuzzy	ADJ
ejpam-6051	221	11	intervals	interval	NOUN
ejpam-6051	221	12	.	.	PUNCT
ejpam-6051	222	1	fuzzy	fuzzy	ADJ
ejpam-6051	222	2	sets	set	NOUN
ejpam-6051	222	3	and	and	CCONJ
ejpam-6051	222	4	systems	system	NOUN
ejpam-6051	222	5	,	,	PUNCT
ejpam-6051	222	6	8(2):105–116	8(2):105–116	NOUN
ejpam-6051	222	7	,	,	PUNCT
ejpam-6051	222	8	1982	1982	NUM
ejpam-6051	222	9	.	.	PUNCT
ejpam-6051	223	1	[	[	X
ejpam-6051	223	2	11	11	NUM
ejpam-6051	223	3	]	]	X
ejpam-6051	223	4	muhammad	muhammad	PROPN
ejpam-6051	223	5	arfan	arfan	PROPN
ejpam-6051	223	6	,	,	PUNCT
ejpam-6051	223	7	kamal	kamal	PROPN
ejpam-6051	223	8	shah	shah	PROPN
ejpam-6051	223	9	,	,	PUNCT
ejpam-6051	223	10	thabet	thabet	ADJ
ejpam-6051	223	11	abdeljawad	abdeljawad	NOUN
ejpam-6051	223	12	,	,	PUNCT
ejpam-6051	223	13	and	and	CCONJ
ejpam-6051	223	14	zakia	zakia	PROPN
ejpam-6051	223	15	hammouch	hammouch	PROPN
ejpam-6051	223	16	.	.	PUNCT
ejpam-6051	224	1	an	an	DET
ejpam-6051	224	2	efficient	efficient	ADJ
ejpam-6051	224	3	tool	tool	NOUN
ejpam-6051	224	4	for	for	ADP
ejpam-6051	224	5	solving	solve	VERB
ejpam-6051	224	6	two	two	NUM
ejpam-6051	224	7	-	-	PUNCT
ejpam-6051	224	8	dimensional	dimensional	ADJ
ejpam-6051	224	9	fuzzy	fuzzy	ADJ
ejpam-6051	224	10	fractional	fractional	ADJ
ejpam-6051	224	11	-	-	PUNCT
ejpam-6051	224	12	ordered	order	VERB
ejpam-6051	224	13	heat	heat	NOUN
ejpam-6051	224	14	equation	equation	NOUN
ejpam-6051	224	15	.	.	PUNCT
ejpam-6051	225	1	numerical	numerical	ADJ
ejpam-6051	225	2	methods	method	NOUN
ejpam-6051	225	3	for	for	ADP
ejpam-6051	225	4	partial	partial	ADJ
ejpam-6051	225	5	differential	differential	NOUN
ejpam-6051	225	6	equations	equation	NOUN
ejpam-6051	225	7	,	,	PUNCT
ejpam-6051	225	8	37(2):1407–1418	37(2):1407–1418	NUM
ejpam-6051	225	9	,	,	PUNCT
ejpam-6051	225	10	2021	2021	NUM
ejpam-6051	225	11	.	.	PUNCT
ejpam-6051	226	1	[	[	X
ejpam-6051	226	2	12	12	NUM
ejpam-6051	226	3	]	]	PUNCT
ejpam-6051	226	4	mohammed	mohammed	PROPN
ejpam-6051	226	5	al	al	PROPN
ejpam-6051	226	6	-	-	PUNCT
ejpam-6051	226	7	smadi	smadi	PROPN
ejpam-6051	226	8	and	and	CCONJ
ejpam-6051	226	9	omar	omar	PROPN
ejpam-6051	226	10	abu	abu	PROPN
ejpam-6051	226	11	arqub	arqub	PROPN
ejpam-6051	226	12	.	.	PUNCT
ejpam-6051	227	1	computational	computational	ADJ
ejpam-6051	227	2	algorithm	algorithm	NOUN
ejpam-6051	227	3	for	for	ADP
ejpam-6051	227	4	solving	solve	VERB
ejpam-6051	227	5	fredholm	fredholm	NOUN
ejpam-6051	227	6	time	time	NOUN
ejpam-6051	227	7	-	-	PUNCT
ejpam-6051	227	8	fractional	fractional	ADJ
ejpam-6051	227	9	partial	partial	ADJ
ejpam-6051	227	10	integrodifferential	integrodifferential	ADJ
ejpam-6051	227	11	equations	equation	NOUN
ejpam-6051	227	12	of	of	ADP
ejpam-6051	227	13	dirichlet	dirichlet	PROPN
ejpam-6051	227	14	functions	function	NOUN
ejpam-6051	227	15	type	type	VERB
ejpam-6051	227	16	with	with	ADP
ejpam-6051	227	17	error	error	NOUN
ejpam-6051	227	18	estimates	estimate	NOUN
ejpam-6051	227	19	.	.	PUNCT
ejpam-6051	228	1	applied	apply	VERB
ejpam-6051	228	2	mathematics	mathematic	NOUN
ejpam-6051	228	3	and	and	CCONJ
ejpam-6051	228	4	computation	computation	NOUN
ejpam-6051	228	5	,	,	PUNCT
ejpam-6051	228	6	342:280–294	342:280–294	NUM
ejpam-6051	228	7	,	,	PUNCT
ejpam-6051	228	8	2019	2019	NUM
ejpam-6051	228	9	.	.	PUNCT
ejpam-6051	229	1	[	[	X
ejpam-6051	229	2	13	13	NUM
ejpam-6051	229	3	]	]	X
ejpam-6051	229	4	omar	omar	PROPN
ejpam-6051	229	5	abu	abu	PROPN
ejpam-6051	229	6	arqub	arqub	PROPN
ejpam-6051	229	7	.	.	PUNCT
ejpam-6051	230	1	computational	computational	ADJ
ejpam-6051	230	2	algorithm	algorithm	NOUN
ejpam-6051	230	3	for	for	ADP
ejpam-6051	230	4	solving	solve	VERB
ejpam-6051	230	5	singular	singular	ADJ
ejpam-6051	230	6	fredholm	fredholm	NOUN
ejpam-6051	230	7	timem	timem	PROPN
ejpam-6051	230	8	.	.	PUNCT
ejpam-6051	231	1	usman	usman	PROPN
ejpam-6051	231	2	et	et	PROPN
ejpam-6051	231	3	al	al	PROPN
ejpam-6051	231	4	.	.	PUNCT
ejpam-6051	231	5	/	/	SYM
ejpam-6051	231	6	eur	eur	PROPN
ejpam-6051	231	7	.	.	PUNCT
ejpam-6051	232	1	j.	j.	PROPN
ejpam-6051	232	2	pure	pure	PROPN
ejpam-6051	232	3	appl	appl	PROPN
ejpam-6051	232	4	.	.	PROPN
ejpam-6051	232	5	math	math	PROPN
ejpam-6051	232	6	,	,	PUNCT
ejpam-6051	232	7	18	18	NUM
ejpam-6051	232	8	(	(	PUNCT
ejpam-6051	232	9	2	2	NUM
ejpam-6051	232	10	)	)	PUNCT
ejpam-6051	232	11	(	(	PUNCT
ejpam-6051	232	12	2025	2025	NUM
ejpam-6051	232	13	)	)	PUNCT
ejpam-6051	232	14	,	,	PUNCT
ejpam-6051	232	15	6051	6051	NUM
ejpam-6051	232	16	10	10	NUM
ejpam-6051	232	17	of	of	ADP
ejpam-6051	232	18	10	10	NUM
ejpam-6051	232	19	fractional	fractional	ADJ
ejpam-6051	232	20	partial	partial	ADJ
ejpam-6051	232	21	integrodifferential	integrodifferential	ADJ
ejpam-6051	232	22	equations	equation	NOUN
ejpam-6051	232	23	with	with	ADP
ejpam-6051	232	24	error	error	NOUN
ejpam-6051	232	25	estimates	estimate	NOUN
ejpam-6051	232	26	.	.	PUNCT
ejpam-6051	233	1	journal	journal	NOUN
ejpam-6051	233	2	of	of	ADP
ejpam-6051	233	3	applied	apply	VERB
ejpam-6051	233	4	mathematics	mathematic	NOUN
ejpam-6051	233	5	and	and	CCONJ
ejpam-6051	233	6	computing	computing	NOUN
ejpam-6051	233	7	,	,	PUNCT
ejpam-6051	233	8	59(1):227–243	59(1):227–243	PROPN
ejpam-6051	233	9	,	,	PUNCT
ejpam-6051	233	10	2019	2019	NUM
ejpam-6051	233	11	.	.	PUNCT
ejpam-6051	234	1	[	[	X
ejpam-6051	234	2	14	14	NUM
ejpam-6051	234	3	]	]	PUNCT
ejpam-6051	234	4	t	t	NOUN
ejpam-6051	234	5	allahviranloo	allahviranloo	NOUN
ejpam-6051	234	6	and	and	CCONJ
ejpam-6051	234	7	n	n	PRON
ejpam-6051	234	8	taheri	taheri	NOUN
ejpam-6051	234	9	.	.	PUNCT
ejpam-6051	235	1	an	an	DET
ejpam-6051	235	2	analytic	analytic	ADJ
ejpam-6051	235	3	approximation	approximation	NOUN
ejpam-6051	235	4	to	to	ADP
ejpam-6051	235	5	the	the	DET
ejpam-6051	235	6	solution	solution	NOUN
ejpam-6051	235	7	of	of	ADP
ejpam-6051	235	8	fuzzy	fuzzy	ADJ
ejpam-6051	235	9	heat	heat	NOUN
ejpam-6051	235	10	equation	equation	NOUN
ejpam-6051	235	11	by	by	ADP
ejpam-6051	235	12	adomian	adomian	NOUN
ejpam-6051	235	13	decomposition	decomposition	NOUN
ejpam-6051	235	14	method	method	NOUN
ejpam-6051	235	15	.	.	PUNCT
ejpam-6051	236	1	int	int	NOUN
ejpam-6051	236	2	.	.	PUNCT
ejpam-6051	237	1	j.	j.	PROPN
ejpam-6051	237	2	contemp	contemp	PROPN
ejpam-6051	237	3	.	.	PUNCT
ejpam-6051	238	1	math	math	NOUN
ejpam-6051	238	2	.	.	PUNCT
ejpam-6051	239	1	sci	sci	PROPN
ejpam-6051	239	2	,	,	PUNCT
ejpam-6051	239	3	4(3):105	4(3):105	NUM
ejpam-6051	239	4	–	–	PUNCT
ejpam-6051	239	5	114	114	NUM
ejpam-6051	239	6	,	,	PUNCT
ejpam-6051	239	7	2009	2009	NUM
ejpam-6051	239	8	.	.	PUNCT
ejpam-6051	240	1	[	[	X
ejpam-6051	240	2	15	15	NUM
ejpam-6051	240	3	]	]	X
ejpam-6051	240	4	mehmet	mehmet	PROPN
ejpam-6051	240	5	yavuz	yavuz	PROPN
ejpam-6051	240	6	and	and	CCONJ
ejpam-6051	240	7	asıf	asıf	ADJ
ejpam-6051	240	8	yokus	yoku	NOUN
ejpam-6051	240	9	.	.	PUNCT
ejpam-6051	241	1	analytical	analytical	ADJ
ejpam-6051	241	2	and	and	CCONJ
ejpam-6051	241	3	numerical	numerical	ADJ
ejpam-6051	241	4	approaches	approach	NOUN
ejpam-6051	241	5	to	to	PART
ejpam-6051	241	6	nerve	nerve	VERB
ejpam-6051	241	7	impulse	impulse	ADJ
ejpam-6051	241	8	model	model	NOUN
ejpam-6051	241	9	of	of	ADP
ejpam-6051	241	10	fractional	fractional	ADJ
ejpam-6051	241	11	-	-	PUNCT
ejpam-6051	241	12	order	order	NOUN
ejpam-6051	241	13	.	.	PUNCT
ejpam-6051	242	1	numerical	numerical	ADJ
ejpam-6051	242	2	methods	method	NOUN
ejpam-6051	242	3	for	for	ADP
ejpam-6051	242	4	partial	partial	ADJ
ejpam-6051	242	5	differential	differential	NOUN
ejpam-6051	242	6	equations	equation	NOUN
ejpam-6051	242	7	,	,	PUNCT
ejpam-6051	242	8	36(6):1348–1368	36(6):1348–1368	NUM
ejpam-6051	242	9	,	,	PUNCT
ejpam-6051	242	10	2020	2020	NUM
ejpam-6051	242	11	.	.	PUNCT
ejpam-6051	243	1	[	[	X
ejpam-6051	243	2	16	16	NUM
ejpam-6051	243	3	]	]	X
ejpam-6051	243	4	thanin	thanin	NOUN
ejpam-6051	243	5	sitthiwirattham	sitthiwirattham	NOUN
ejpam-6051	243	6	,	,	PUNCT
ejpam-6051	243	7	muhammad	muhammad	PROPN
ejpam-6051	243	8	arfan	arfan	PROPN
ejpam-6051	243	9	,	,	PUNCT
ejpam-6051	243	10	kamal	kamal	PROPN
ejpam-6051	243	11	shah	shah	PROPN
ejpam-6051	243	12	,	,	PUNCT
ejpam-6051	243	13	anwar	anwar	PROPN
ejpam-6051	243	14	zeb	zeb	PROPN
ejpam-6051	243	15	,	,	PUNCT
ejpam-6051	243	16	salih	salih	PROPN
ejpam-6051	243	17	djilali	djilali	PROPN
ejpam-6051	243	18	,	,	PUNCT
ejpam-6051	243	19	and	and	CCONJ
ejpam-6051	243	20	saowaluck	saowaluck	PROPN
ejpam-6051	243	21	chasreechai	chasreechai	NOUN
ejpam-6051	243	22	.	.	PUNCT
ejpam-6051	244	1	semi	semi	ADJ
ejpam-6051	244	2	-	-	ADJ
ejpam-6051	244	3	analytical	analytical	ADJ
ejpam-6051	244	4	solutions	solution	NOUN
ejpam-6051	244	5	for	for	ADP
ejpam-6051	244	6	fuzzy	fuzzy	ADJ
ejpam-6051	244	7	caputo	caputo	PROPN
ejpam-6051	244	8	–	–	PUNCT
ejpam-6051	244	9	fabrizio	fabrizio	ADJ
ejpam-6051	244	10	fractional	fractional	ADJ
ejpam-6051	244	11	-	-	PUNCT
ejpam-6051	244	12	order	order	NOUN
ejpam-6051	244	13	two	two	NUM
ejpam-6051	244	14	-	-	PUNCT
ejpam-6051	244	15	dimensional	dimensional	ADJ
ejpam-6051	244	16	heat	heat	NOUN
ejpam-6051	244	17	equation	equation	NOUN
ejpam-6051	244	18	.	.	PUNCT
ejpam-6051	245	1	fractal	fractal	ADJ
ejpam-6051	245	2	and	and	CCONJ
ejpam-6051	245	3	fractional	fractional	ADJ
ejpam-6051	245	4	,	,	PUNCT
ejpam-6051	245	5	5(4):139	5(4):139	NUM
ejpam-6051	245	6	,	,	PUNCT
ejpam-6051	245	7	2021	2021	NUM
ejpam-6051	245	8	.	.	PUNCT
ejpam-6051	246	1	[	[	X
ejpam-6051	246	2	17	17	NUM
ejpam-6051	246	3	]	]	X
ejpam-6051	246	4	madeeha	madeeha	ADJ
ejpam-6051	246	5	tahir	tahir	PROPN
ejpam-6051	246	6	,	,	PUNCT
ejpam-6051	246	7	muhammad	muhammad	PROPN
ejpam-6051	246	8	nawaz	nawaz	PROPN
ejpam-6051	246	9	naeem	naeem	PROPN
ejpam-6051	246	10	,	,	PUNCT
ejpam-6051	246	11	maria	maria	PROPN
ejpam-6051	246	12	javaid	javaid	PROPN
ejpam-6051	246	13	,	,	PUNCT
ejpam-6051	246	14	muhammad	muhammad	PROPN
ejpam-6051	246	15	younas	younas	PROPN
ejpam-6051	246	16	,	,	PUNCT
ejpam-6051	246	17	muhammad	muhammad	PROPN
ejpam-6051	246	18	imran	imran	PROPN
ejpam-6051	246	19	,	,	PUNCT
ejpam-6051	246	20	naeem	naeem	PROPN
ejpam-6051	246	21	sadiq	sadiq	PROPN
ejpam-6051	246	22	,	,	PUNCT
ejpam-6051	246	23	and	and	CCONJ
ejpam-6051	246	24	rabia	rabia	PROPN
ejpam-6051	246	25	safdar	safdar	PROPN
ejpam-6051	246	26	.	.	PUNCT
ejpam-6051	247	1	unsteady	unsteady	ADJ
ejpam-6051	247	2	flow	flow	NOUN
ejpam-6051	247	3	of	of	ADP
ejpam-6051	247	4	fractional	fractional	ADJ
ejpam-6051	247	5	oldroyd	oldroyd	VERB
ejpam-6051	247	6	-	-	PUNCT
ejpam-6051	247	7	b	b	NOUN
ejpam-6051	247	8	fluids	fluid	NOUN
ejpam-6051	247	9	through	through	ADP
ejpam-6051	247	10	rotating	rotate	VERB
ejpam-6051	247	11	annulus	annulus	NOUN
ejpam-6051	247	12	.	.	PUNCT
ejpam-6051	248	1	open	open	ADJ
ejpam-6051	248	2	physics	physics	PROPN
ejpam-6051	248	3	,	,	PUNCT
ejpam-6051	248	4	16(1):193–200	16(1):193–200	PROPN
ejpam-6051	248	5	,	,	PUNCT
ejpam-6051	248	6	2018	2018	NUM
ejpam-6051	248	7	.	.	PUNCT
ejpam-6051	249	1	[	[	X
ejpam-6051	249	2	18	18	NUM
ejpam-6051	249	3	]	]	X
ejpam-6051	249	4	rached	rached	ADJ
ejpam-6051	249	5	nciri	nciri	PROPN
ejpam-6051	249	6	,	,	PUNCT
ejpam-6051	249	7	ala	ala	PROPN
ejpam-6051	249	8	eldin	eldin	PROPN
ejpam-6051	249	9	a	a	DET
ejpam-6051	249	10	awouda	awouda	NOUN
ejpam-6051	249	11	,	,	PUNCT
ejpam-6051	249	12	amir	amir	X
ejpam-6051	249	13	abubaker	abubaker	PROPN
ejpam-6051	249	14	musa	musa	PROPN
ejpam-6051	249	15	,	,	PUNCT
ejpam-6051	249	16	hamod	hamod	NOUN
ejpam-6051	249	17	ghorm	ghorm	NOUN
ejpam-6051	249	18	alshomrani	alshomrani	PROPN
ejpam-6051	249	19	,	,	PUNCT
ejpam-6051	249	20	and	and	CCONJ
ejpam-6051	249	21	faouzi	faouzi	PROPN
ejpam-6051	249	22	nasri	nasri	PROPN
ejpam-6051	249	23	.	.	PUNCT
ejpam-6051	250	1	numerical	numerical	PROPN
ejpam-6051	250	2	simulation	simulation	PROPN
ejpam-6051	250	3	of	of	ADP
ejpam-6051	250	4	natural	natural	ADJ
ejpam-6051	250	5	convection	convection	NOUN
ejpam-6051	250	6	in	in	ADP
ejpam-6051	250	7	a	a	DET
ejpam-6051	250	8	chamfered	chamfered	ADJ
ejpam-6051	250	9	square	square	ADJ
ejpam-6051	250	10	cavity	cavity	NOUN
ejpam-6051	250	11	with	with	ADP
ejpam-6051	250	12	fe3o4	fe3o4	NOUN
ejpam-6051	250	13	-	-	PUNCT
ejpam-6051	250	14	water	water	NOUN
ejpam-6051	250	15	nanofluid	nanofluid	NOUN
ejpam-6051	250	16	and	and	CCONJ
ejpam-6051	250	17	magnetic	magnetic	ADJ
ejpam-6051	250	18	excitation	excitation	NOUN
ejpam-6051	250	19	.	.	PUNCT
ejpam-6051	251	1	engineering	engineering	NOUN
ejpam-6051	251	2	,	,	PUNCT
ejpam-6051	251	3	technology	technology	NOUN
ejpam-6051	251	4	&	&	CCONJ
ejpam-6051	251	5	applied	apply	VERB
ejpam-6051	251	6	science	science	NOUN
ejpam-6051	251	7	research	research	NOUN
ejpam-6051	251	8	,	,	PUNCT
ejpam-6051	251	9	15(1):20523–20528	15(1):20523–20528	NUM
ejpam-6051	251	10	,	,	PUNCT
ejpam-6051	251	11	2025	2025	NUM
ejpam-6051	251	12	.	.	PUNCT
ejpam-6051	252	1	[	[	X
ejpam-6051	252	2	19	19	NUM
ejpam-6051	252	3	]	]	X
ejpam-6051	252	4	avaz	avaz	PROPN
ejpam-6051	252	5	naghipour	naghipour	PROPN
ejpam-6051	252	6	and	and	CCONJ
ejpam-6051	252	7	jalil	jalil	PROPN
ejpam-6051	252	8	manafian	manafian	PROPN
ejpam-6051	252	9	.	.	PUNCT
ejpam-6051	253	1	application	application	NOUN
ejpam-6051	253	2	of	of	ADP
ejpam-6051	253	3	the	the	DET
ejpam-6051	253	4	laplace	laplace	NOUN
ejpam-6051	253	5	adomian	adomian	NOUN
ejpam-6051	253	6	decomposition	decomposition	NOUN
ejpam-6051	253	7	and	and	CCONJ
ejpam-6051	253	8	implicit	implicit	ADJ
ejpam-6051	253	9	methods	method	NOUN
ejpam-6051	253	10	for	for	ADP
ejpam-6051	253	11	solving	solve	VERB
ejpam-6051	253	12	burgers	burger	NOUN
ejpam-6051	253	13	’	'	PUNCT
ejpam-6051	253	14	equation	equation	NOUN
ejpam-6051	253	15	.	.	PUNCT
ejpam-6051	254	1	twms	twms	PROPN
ejpam-6051	254	2	journal	journal	PROPN
ejpam-6051	254	3	of	of	ADP
ejpam-6051	254	4	pure	pure	ADJ
ejpam-6051	254	5	and	and	CCONJ
ejpam-6051	254	6	applied	applied	ADJ
ejpam-6051	254	7	mathematics	mathematic	NOUN
ejpam-6051	254	8	,	,	PUNCT
ejpam-6051	254	9	6(1):68–77	6(1):68–77	NUM
ejpam-6051	254	10	,	,	PUNCT
ejpam-6051	254	11	2015	2015	NUM
ejpam-6051	254	12	.	.	PUNCT
ejpam-6051	255	1	[	[	X
ejpam-6051	255	2	20	20	NUM
ejpam-6051	255	3	]	]	X
ejpam-6051	255	4	abd	abd	PROPN
ejpam-6051	255	5	ullah	ullah	PROPN
ejpam-6051	255	6	,	,	PUNCT
ejpam-6051	255	7	aman	aman	PROPN
ejpam-6051	255	8	ullah	ullah	PROPN
ejpam-6051	255	9	,	,	PUNCT
ejpam-6051	255	10	shabir	shabir	PROPN
ejpam-6051	255	11	ahmad	ahmad	PROPN
ejpam-6051	255	12	,	,	PUNCT
ejpam-6051	255	13	mahmood	mahmood	PROPN
ejpam-6051	255	14	ul	ul	PROPN
ejpam-6051	255	15	haq	haq	PROPN
ejpam-6051	255	16	,	,	PUNCT
ejpam-6051	255	17	kamal	kamal	PROPN
ejpam-6051	255	18	shah	shah	NOUN
ejpam-6051	255	19	,	,	PUNCT
ejpam-6051	255	20	and	and	CCONJ
ejpam-6051	255	21	nabil	nabil	PROPN
ejpam-6051	255	22	mlaiki	mlaiki	PROPN
ejpam-6051	255	23	.	.	PUNCT
ejpam-6051	256	1	series	series	PROPN
ejpam-6051	256	2	type	type	NOUN
ejpam-6051	256	3	solution	solution	NOUN
ejpam-6051	256	4	of	of	ADP
ejpam-6051	256	5	fuzzy	fuzzy	ADJ
ejpam-6051	256	6	fractional	fractional	ADJ
ejpam-6051	256	7	order	order	NOUN
ejpam-6051	256	8	swift	swift	ADJ
ejpam-6051	256	9	–	–	PUNCT
ejpam-6051	256	10	hohenberg	hohenberg	NOUN
ejpam-6051	256	11	equation	equation	NOUN
ejpam-6051	256	12	by	by	ADP
ejpam-6051	256	13	fuzzy	fuzzy	ADJ
ejpam-6051	256	14	hybrid	hybrid	NOUN
ejpam-6051	256	15	sumudu	sumudu	NOUN
ejpam-6051	256	16	transform	transform	NOUN
ejpam-6051	256	17	.	.	PUNCT
ejpam-6051	257	1	mathematical	mathematical	ADJ
ejpam-6051	257	2	problems	problem	NOUN
ejpam-6051	257	3	in	in	ADP
ejpam-6051	257	4	engineering	engineering	NOUN
ejpam-6051	257	5	,	,	PUNCT
ejpam-6051	257	6	2022(1):3864053	2022(1):3864053	NUM
ejpam-6051	257	7	,	,	PUNCT
ejpam-6051	257	8	2022	2022	NUM
ejpam-6051	257	9	.	.	PUNCT
ejpam-6051	258	1	[	[	X
ejpam-6051	258	2	21	21	NUM
ejpam-6051	258	3	]	]	X
ejpam-6051	258	4	tofigh	tofigh	NOUN
ejpam-6051	258	5	allahviranloo	allahviranloo	NOUN
ejpam-6051	258	6	.	.	PUNCT
ejpam-6051	259	1	fuzzy	fuzzy	ADJ
ejpam-6051	259	2	fractional	fractional	ADJ
ejpam-6051	259	3	differential	differential	NOUN
ejpam-6051	259	4	operators	operator	NOUN
ejpam-6051	259	5	and	and	CCONJ
ejpam-6051	259	6	equations	equation	NOUN
ejpam-6051	259	7	.	.	PUNCT
ejpam-6051	260	1	studies	study	NOUN
ejpam-6051	260	2	in	in	ADP
ejpam-6051	260	3	fuzziness	fuzziness	NOUN
ejpam-6051	260	4	and	and	CCONJ
ejpam-6051	260	5	soft	soft	ADJ
ejpam-6051	260	6	computing	computing	NOUN
ejpam-6051	260	7	,	,	PUNCT
ejpam-6051	260	8	397	397	NUM
ejpam-6051	260	9	,	,	PUNCT
ejpam-6051	260	10	2021	2021	NUM
ejpam-6051	260	11	.	.	PUNCT
ejpam-6051	261	1	[	[	X
ejpam-6051	261	2	22	22	NUM
ejpam-6051	261	3	]	]	X
ejpam-6051	261	4	fethi	fethi	PROPN
ejpam-6051	261	5	bin	bin	NOUN
ejpam-6051	261	6	muhammed	muhamme	VERB
ejpam-6051	261	7	belgacem	belgacem	NOUN
ejpam-6051	261	8	and	and	CCONJ
ejpam-6051	261	9	r	r	PROPN
ejpam-6051	261	10	silambarasan	silambarasan	NOUN
ejpam-6051	261	11	.	.	PUNCT
ejpam-6051	262	1	theory	theory	NOUN
ejpam-6051	262	2	of	of	ADP
ejpam-6051	262	3	natural	natural	ADJ
ejpam-6051	262	4	transform	transform	NOUN
ejpam-6051	262	5	.	.	PUNCT
ejpam-6051	263	1	math	math	NOUN
ejpam-6051	263	2	.	.	PUNCT
ejpam-6051	264	1	engg	engg	PROPN
ejpam-6051	264	2	.	.	PUNCT
ejpam-6051	265	1	sci	sci	PROPN
ejpam-6051	265	2	.	.	PUNCT
ejpam-6051	265	3	aeros	aero	NOUN
ejpam-6051	265	4	,	,	PUNCT
ejpam-6051	265	5	3:99–124	3:99–124	NUM
ejpam-6051	265	6	,	,	PUNCT
ejpam-6051	265	7	2012	2012	NUM
ejpam-6051	265	8	.	.	PUNCT
ejpam-6051	266	1	[	[	X
ejpam-6051	266	2	23	23	NUM
ejpam-6051	266	3	]	]	X
ejpam-6051	266	4	abdul	abdul	PROPN
ejpam-6051	266	5	-	-	PUNCT
ejpam-6051	266	6	majid	majid	PROPN
ejpam-6051	266	7	wazwaz	wazwaz	NOUN
ejpam-6051	266	8	.	.	PUNCT
ejpam-6051	267	1	linear	linear	ADJ
ejpam-6051	267	2	and	and	CCONJ
ejpam-6051	267	3	nonlinear	nonlinear	ADJ
ejpam-6051	267	4	integral	integral	ADJ
ejpam-6051	267	5	equations	equation	NOUN
ejpam-6051	267	6	,	,	PUNCT
ejpam-6051	267	7	volume	volume	NOUN
ejpam-6051	267	8	639	639	NUM
ejpam-6051	267	9	.	.	PUNCT
ejpam-6051	267	10	springer	springer	NOUN
ejpam-6051	267	11	,	,	PUNCT
ejpam-6051	267	12	2011	2011	NUM
ejpam-6051	267	13	.	.	PUNCT