id	sid	tid	token	lemma	pos
iajs-2862	1	1	128	128	NUM
iajs-2862	1	2	this	this	DET
iajs-2862	1	3	work	work	NOUN
iajs-2862	1	4	is	be	AUX
iajs-2862	1	5	licensed	license	VERB
iajs-2862	1	6	under	under	ADP
iajs-2862	1	7	a	a	DET
iajs-2862	1	8	creative	creative	ADJ
iajs-2862	1	9	commons	common	NOUN
iajs-2862	1	10	attribution	attribution	NOUN
iajs-2862	1	11	4.0	4.0	NUM
iajs-2862	1	12	international	international	ADJ
iajs-2862	1	13	license	license	NOUN
iajs-2862	1	14	.	.	PUNCT
iajs-2862	2	1	a	a	DET
iajs-2862	2	2	new	new	ADJ
iajs-2862	2	3	technique	technique	NOUN
iajs-2862	2	4	for	for	ADP
iajs-2862	2	5	solving	solve	VERB
iajs-2862	2	6	fractional	fractional	ADJ
iajs-2862	2	7	nonlinear	nonlinear	ADJ
iajs-2862	2	8	equations	equation	NOUN
iajs-2862	2	9	by	by	ADP
iajs-2862	2	10	sumudu	sumudu	NOUN
iajs-2862	2	11	transform	transform	NOUN
iajs-2862	2	12	and	and	CCONJ
iajs-2862	2	13	adomian	adomian	NOUN
iajs-2862	2	14	decomposition	decomposition	NOUN
iajs-2862	2	15	method	method	NOUN
iajs-2862	2	16	abstract	abstract	ADV
iajs-2862	2	17	a	a	DET
iajs-2862	2	18	novel	novel	ADJ
iajs-2862	2	19	technique	technique	NOUN
iajs-2862	2	20	sumudu	sumudu	NOUN
iajs-2862	2	21	transform	transform	VERB
iajs-2862	2	22	adomian	adomian	NOUN
iajs-2862	2	23	decomposition	decomposition	NOUN
iajs-2862	2	24	method	method	NOUN
iajs-2862	2	25	(	(	PUNCT
iajs-2862	2	26	stadm	stadm	NOUN
iajs-2862	2	27	)	)	PUNCT
iajs-2862	2	28	,	,	PUNCT
iajs-2862	2	29	is	be	AUX
iajs-2862	2	30	employed	employ	VERB
iajs-2862	2	31	to	to	PART
iajs-2862	2	32	handle	handle	VERB
iajs-2862	2	33	some	some	DET
iajs-2862	2	34	kinds	kind	NOUN
iajs-2862	2	35	of	of	ADP
iajs-2862	2	36	nonlinear	nonlinear	ADJ
iajs-2862	2	37	time	time	NOUN
iajs-2862	2	38	-	-	PUNCT
iajs-2862	2	39	fractional	fractional	ADJ
iajs-2862	2	40	equations	equation	NOUN
iajs-2862	2	41	.	.	PUNCT
iajs-2862	3	1	we	we	PRON
iajs-2862	3	2	demonstrate	demonstrate	VERB
iajs-2862	3	3	that	that	SCONJ
iajs-2862	3	4	this	this	DET
iajs-2862	3	5	method	method	NOUN
iajs-2862	3	6	finds	find	VERB
iajs-2862	3	7	the	the	DET
iajs-2862	3	8	solution	solution	NOUN
iajs-2862	3	9	without	without	ADP
iajs-2862	3	10	discretization	discretization	NOUN
iajs-2862	3	11	or	or	CCONJ
iajs-2862	3	12	restrictive	restrictive	ADJ
iajs-2862	3	13	assumptions	assumption	NOUN
iajs-2862	3	14	.	.	PUNCT
iajs-2862	4	1	this	this	DET
iajs-2862	4	2	method	method	NOUN
iajs-2862	4	3	is	be	AUX
iajs-2862	4	4	efficient	efficient	ADJ
iajs-2862	4	5	,	,	PUNCT
iajs-2862	4	6	simple	simple	ADJ
iajs-2862	4	7	to	to	PART
iajs-2862	4	8	implement	implement	VERB
iajs-2862	4	9	,	,	PUNCT
iajs-2862	4	10	and	and	CCONJ
iajs-2862	4	11	produces	produce	VERB
iajs-2862	4	12	good	good	ADJ
iajs-2862	4	13	results	result	NOUN
iajs-2862	4	14	.	.	PUNCT
iajs-2862	5	1	the	the	DET
iajs-2862	5	2	fractional	fractional	ADJ
iajs-2862	5	3	derivative	derivative	NOUN
iajs-2862	5	4	is	be	AUX
iajs-2862	5	5	described	describe	VERB
iajs-2862	5	6	in	in	ADP
iajs-2862	5	7	the	the	DET
iajs-2862	5	8	caputo	caputo	PROPN
iajs-2862	5	9	sense	sense	NOUN
iajs-2862	5	10	.	.	PUNCT
iajs-2862	6	1	the	the	DET
iajs-2862	6	2	solutions	solution	NOUN
iajs-2862	6	3	are	be	AUX
iajs-2862	6	4	obtained	obtain	VERB
iajs-2862	6	5	using	use	VERB
iajs-2862	6	6	stadm	stadm	NOUN
iajs-2862	6	7	,	,	PUNCT
iajs-2862	6	8	and	and	CCONJ
iajs-2862	6	9	the	the	DET
iajs-2862	6	10	results	result	NOUN
iajs-2862	6	11	show	show	VERB
iajs-2862	6	12	that	that	SCONJ
iajs-2862	6	13	the	the	DET
iajs-2862	6	14	suggested	suggest	VERB
iajs-2862	6	15	technique	technique	NOUN
iajs-2862	6	16	is	be	AUX
iajs-2862	6	17	valid	valid	ADJ
iajs-2862	6	18	and	and	CCONJ
iajs-2862	6	19	applicable	applicable	ADJ
iajs-2862	6	20	and	and	CCONJ
iajs-2862	6	21	provides	provide	VERB
iajs-2862	6	22	a	a	DET
iajs-2862	6	23	more	more	ADV
iajs-2862	6	24	refined	refined	ADJ
iajs-2862	6	25	convergent	convergent	NOUN
iajs-2862	6	26	series	series	NOUN
iajs-2862	6	27	solution	solution	NOUN
iajs-2862	6	28	.	.	PUNCT
iajs-2862	7	1	the	the	DET
iajs-2862	7	2	matlab	matlab	PROPN
iajs-2862	7	3	software	software	NOUN
iajs-2862	7	4	carried	carry	VERB
iajs-2862	7	5	out	out	ADP
iajs-2862	7	6	all	all	DET
iajs-2862	7	7	the	the	DET
iajs-2862	7	8	computations	computation	NOUN
iajs-2862	7	9	and	and	CCONJ
iajs-2862	7	10	graphics	graphic	NOUN
iajs-2862	7	11	.	.	PUNCT
iajs-2862	8	1	moreover	moreover	ADV
iajs-2862	8	2	,	,	PUNCT
iajs-2862	8	3	a	a	DET
iajs-2862	8	4	graphical	graphical	ADJ
iajs-2862	8	5	representation	representation	NOUN
iajs-2862	8	6	was	be	AUX
iajs-2862	8	7	made	make	VERB
iajs-2862	8	8	for	for	ADP
iajs-2862	8	9	the	the	DET
iajs-2862	8	10	solution	solution	NOUN
iajs-2862	8	11	of	of	ADP
iajs-2862	8	12	some	some	DET
iajs-2862	8	13	examples	example	NOUN
iajs-2862	8	14	.	.	PUNCT
iajs-2862	9	1	for	for	ADP
iajs-2862	9	2	integer	integer	NOUN
iajs-2862	9	3	and	and	CCONJ
iajs-2862	9	4	fractional	fractional	ADJ
iajs-2862	9	5	order	order	NOUN
iajs-2862	9	6	problems	problem	NOUN
iajs-2862	9	7	,	,	PUNCT
iajs-2862	9	8	solution	solution	NOUN
iajs-2862	9	9	graphs	graph	NOUN
iajs-2862	9	10	are	be	AUX
iajs-2862	9	11	shown	show	VERB
iajs-2862	9	12	.	.	PUNCT
iajs-2862	10	1	the	the	DET
iajs-2862	10	2	results	result	NOUN
iajs-2862	10	3	confirmed	confirm	VERB
iajs-2862	10	4	that	that	SCONJ
iajs-2862	10	5	the	the	DET
iajs-2862	10	6	accuracy	accuracy	NOUN
iajs-2862	10	7	of	of	ADP
iajs-2862	10	8	this	this	DET
iajs-2862	10	9	technique	technique	NOUN
iajs-2862	10	10	converges	converge	NOUN
iajs-2862	10	11	to	to	ADP
iajs-2862	10	12	the	the	DET
iajs-2862	10	13	integer	integer	NOUN
iajs-2862	10	14	order	order	NOUN
iajs-2862	10	15	of	of	ADP
iajs-2862	10	16	the	the	DET
iajs-2862	10	17	issues	issue	NOUN
iajs-2862	10	18	.	.	PUNCT
iajs-2862	11	1	keywords	keyword	NOUN
iajs-2862	11	2	:	:	PUNCT
iajs-2862	11	3	caputo	caputo	PROPN
iajs-2862	11	4	derivative	derivative	PROPN
iajs-2862	11	5	,	,	PUNCT
iajs-2862	11	6	fractional	fractional	ADJ
iajs-2862	11	7	calculus	calculus	NOUN
iajs-2862	11	8	,	,	PUNCT
iajs-2862	11	9	sumudu	sumudu	NOUN
iajs-2862	11	10	transformation	transformation	NOUN
iajs-2862	11	11	,	,	PUNCT
iajs-2862	11	12	analytical	analytical	ADJ
iajs-2862	11	13	the	the	DET
iajs-2862	11	14	solution	solution	NOUN
iajs-2862	11	15	,	,	PUNCT
iajs-2862	11	16	adomian	adomian	NOUN
iajs-2862	11	17	method	method	NOUN
iajs-2862	11	18	.	.	PUNCT
iajs-2862	12	1	1	1	X
iajs-2862	12	2	.	.	X
iajs-2862	12	3	introduction	introduction	NOUN
iajs-2862	12	4	nonlinear	nonlinear	NOUN
iajs-2862	12	5	problems	problem	NOUN
iajs-2862	12	6	are	be	AUX
iajs-2862	12	7	used	use	VERB
iajs-2862	12	8	to	to	PART
iajs-2862	12	9	describe	describe	VERB
iajs-2862	12	10	a	a	DET
iajs-2862	12	11	variety	variety	NOUN
iajs-2862	12	12	of	of	ADP
iajs-2862	12	13	phenomena	phenomenon	NOUN
iajs-2862	12	14	.	.	PUNCT
iajs-2862	13	1	fractional	fractional	ADJ
iajs-2862	13	2	differential	differential	ADJ
iajs-2862	13	3	equations	equation	NOUN
iajs-2862	13	4	(	(	PUNCT
iajs-2862	13	5	fdes	fde	NOUN
iajs-2862	13	6	)	)	PUNCT
iajs-2862	13	7	have	have	AUX
iajs-2862	13	8	gained	gain	VERB
iajs-2862	13	9	much	much	ADJ
iajs-2862	13	10	attention	attention	NOUN
iajs-2862	13	11	from	from	ADP
iajs-2862	13	12	researchers	researcher	NOUN
iajs-2862	13	13	due	due	ADP
iajs-2862	13	14	to	to	ADP
iajs-2862	13	15	their	their	PRON
iajs-2862	13	16	ability	ability	NOUN
iajs-2862	13	17	and	and	CCONJ
iajs-2862	13	18	are	be	AUX
iajs-2862	13	19	used	use	VERB
iajs-2862	13	20	in	in	ADP
iajs-2862	13	21	various	various	ADJ
iajs-2862	13	22	fields	field	NOUN
iajs-2862	13	23	of	of	ADP
iajs-2862	13	24	engineering	engineering	NOUN
iajs-2862	13	25	and	and	CCONJ
iajs-2862	13	26	physics	physics	NOUN
iajs-2862	13	27	.	.	PUNCT
iajs-2862	14	1	the	the	DET
iajs-2862	14	2	exact	exact	ADJ
iajs-2862	14	3	solution	solution	NOUN
iajs-2862	14	4	to	to	ADP
iajs-2862	14	5	any	any	DET
iajs-2862	14	6	fractional	fractional	ADJ
iajs-2862	14	7	differential	differential	NOUN
iajs-2862	14	8	equation	equation	NOUN
iajs-2862	14	9	is	be	AUX
iajs-2862	14	10	extremely	extremely	ADV
iajs-2862	14	11	difficult	difficult	ADJ
iajs-2862	14	12	to	to	PART
iajs-2862	14	13	find	find	VERB
iajs-2862	14	14	,	,	PUNCT
iajs-2862	14	15	and	and	CCONJ
iajs-2862	14	16	no	no	DET
iajs-2862	14	17	general	general	ADJ
iajs-2862	14	18	method	method	NOUN
iajs-2862	14	19	provides	provide	VERB
iajs-2862	14	20	the	the	DET
iajs-2862	14	21	same	same	ADJ
iajs-2862	14	22	solution	solution	NOUN
iajs-2862	14	23	for	for	ADP
iajs-2862	14	24	any	any	DET
iajs-2862	14	25	fractional	fractional	ADJ
iajs-2862	14	26	differential	differential	ADJ
iajs-2862	14	27	equations	equation	NOUN
iajs-2862	14	28	.	.	PUNCT
iajs-2862	15	1	several	several	ADJ
iajs-2862	15	2	analytical	analytical	ADJ
iajs-2862	15	3	and	and	CCONJ
iajs-2862	15	4	approximate	approximate	ADJ
iajs-2862	15	5	ways	way	NOUN
iajs-2862	15	6	have	have	AUX
iajs-2862	15	7	been	be	AUX
iajs-2862	15	8	suggested	suggest	VERB
iajs-2862	15	9	for	for	ADP
iajs-2862	15	10	solving	solve	VERB
iajs-2862	15	11	nonlinear	nonlinear	ADJ
iajs-2862	15	12	problems	problem	NOUN
iajs-2862	15	13	of	of	ADP
iajs-2862	15	14	fractional	fractional	ADJ
iajs-2862	15	15	order	order	NOUN
iajs-2862	15	16	using	use	VERB
iajs-2862	15	17	the	the	DET
iajs-2862	15	18	sumudu	sumudu	NOUN
iajs-2862	15	19	variational	variational	ADJ
iajs-2862	15	20	iteration	iteration	NOUN
iajs-2862	15	21	method	method	NOUN
iajs-2862	15	22	[	[	X
iajs-2862	15	23	1,2	1,2	NUM
iajs-2862	15	24	]	]	PUNCT
iajs-2862	15	25	,	,	PUNCT
iajs-2862	15	26	decomposition	decomposition	NOUN
iajs-2862	15	27	method	method	NOUN
iajs-2862	15	28	,	,	PUNCT
iajs-2862	15	29	and	and	CCONJ
iajs-2862	15	30	variational	variational	ADJ
iajs-2862	15	31	iteration	iteration	NOUN
iajs-2862	15	32	method	method	NOUN
iajs-2862	15	33	[	[	X
iajs-2862	15	34	3,4	3,4	NUM
iajs-2862	15	35	,	,	PUNCT
iajs-2862	15	36	]	]	PUNCT
iajs-2862	15	37	.	.	PUNCT
iajs-2862	16	1	many	many	ADJ
iajs-2862	16	2	numerical	numerical	ADJ
iajs-2862	16	3	and	and	CCONJ
iajs-2862	16	4	analytical	analytical	ADJ
iajs-2862	16	5	techniques	technique	NOUN
iajs-2862	16	6	have	have	AUX
iajs-2862	16	7	been	be	AUX
iajs-2862	16	8	suggested	suggest	VERB
iajs-2862	16	9	for	for	SCONJ
iajs-2862	16	10	the	the	DET
iajs-2862	16	11	solutions	solution	NOUN
iajs-2862	16	12	of	of	ADP
iajs-2862	16	13	non	non	ADJ
iajs-2862	16	14	-	-	ADJ
iajs-2862	16	15	integer	integer	ADJ
iajs-2862	16	16	differential	differential	ADJ
iajs-2862	16	17	equations	equation	NOUN
iajs-2862	16	18	of	of	ADP
iajs-2862	16	19	fractional	fractional	ADJ
iajs-2862	16	20	order	order	NOUN
iajs-2862	16	21	,	,	PUNCT
iajs-2862	16	22	such	such	ADJ
iajs-2862	16	23	as	as	ADP
iajs-2862	16	24	the	the	DET
iajs-2862	16	25	adomian	adomian	NOUN
iajs-2862	16	26	decomposition	decomposition	NOUN
iajs-2862	16	27	method	method	NOUN
iajs-2862	16	28	,	,	PUNCT
iajs-2862	16	29	ibn	ibn	PROPN
iajs-2862	16	30	al	al	PROPN
iajs-2862	16	31	-	-	PUNCT
iajs-2862	16	32	haitham	haitham	PROPN
iajs-2862	16	33	journal	journal	PROPN
iajs-2862	16	34	for	for	ADP
iajs-2862	16	35	pure	pure	ADJ
iajs-2862	16	36	and	and	CCONJ
iajs-2862	16	37	applied	apply	VERB
iajs-2862	16	38	sciences	sciences	PROPN
iajs-2862	16	39	http://jih.uobaghdad.edu.iq/index.php/j/index	http://jih.uobaghdad.edu.iq/index.php/j/index	PROPN
iajs-2862	16	40	:	:	PUNCT
iajs-2862	16	41	journal	journal	PROPN
iajs-2862	16	42	homepage	homepage	NOUN
iajs-2862	16	43	doi	doi	PROPN
iajs-2862	16	44	:	:	PUNCT
iajs-2862	16	45	10.30526\35.3.2862	10.30526\35.3.2862	NUM
iajs-2862	16	46	article	article	NOUN
iajs-2862	16	47	history	history	NOUN
iajs-2862	16	48	:	:	PUNCT
iajs-2862	16	49	received	receive	VERB
iajs-2862	16	50	5	5	NUM
iajs-2862	16	51	june	june	PROPN
iajs-2862	16	52	2022	2022	NUM
iajs-2862	16	53	,	,	PUNCT
iajs-2862	16	54	accepted	accept	VERB
iajs-2862	16	55	16	16	NUM
iajs-2862	16	56	june	june	PROPN
iajs-2862	16	57	2022	2022	NUM
iajs-2862	16	58	,	,	PUNCT
iajs-2862	16	59	published	publish	VERB
iajs-2862	16	60	in	in	ADP
iajs-2862	16	61	july	july	PROPN
iajs-2862	16	62	2022	2022	NUM
iajs-2862	16	63	.	.	PUNCT
iajs-2862	17	1	maad	maad	PROPN
iajs-2862	17	2	gatea	gatea	PROPN
iajs-2862	17	3	mousa	mousa	PROPN
iajs-2862	17	4	department	department	PROPN
iajs-2862	17	5	of	of	ADP
iajs-2862	17	6	mathematics	mathematics	PROPN
iajs-2862	17	7	,	,	PUNCT
iajs-2862	17	8	college	college	NOUN
iajs-2862	17	9	of	of	ADP
iajs-2862	17	10	education	education	NOUN
iajs-2862	17	11	for	for	ADP
iajs-2862	17	12	pure	pure	ADJ
iajs-2862	17	13	science	science	NOUN
iajs-2862	17	14	\	\	PROPN
iajs-2862	17	15	ibn	ibn	PROPN
iajs-2862	17	16	alhaitham	alhaitham	NOUN
iajs-2862	17	17	,	,	PUNCT
iajs-2862	17	18	university	university	NOUN
iajs-2862	17	19	of	of	ADP
iajs-2862	17	20	baghdad	baghdad	PROPN
iajs-2862	17	21	,	,	PUNCT
iajs-2862	17	22	baghdad	baghdad	PROPN
iajs-2862	17	23	,	,	PUNCT
iajs-2862	17	24	iraq	iraq	PROPN
iajs-2862	17	25	.	.	PUNCT
iajs-2862	18	1	maadkatamosa@gmail.com	maadkatamosa@gmail.com	PROPN
iajs-2862	18	2	huda	huda	PROPN
iajs-2862	18	3	omran	omran	PROPN
iajs-2862	18	4	altaie	altaie	PROPN
iajs-2862	18	5	department	department	PROPN
iajs-2862	18	6	of	of	ADP
iajs-2862	18	7	mathematics	mathematics	PROPN
iajs-2862	18	8	,	,	PUNCT
iajs-2862	18	9	college	college	NOUN
iajs-2862	18	10	of	of	ADP
iajs-2862	18	11	education	education	NOUN
iajs-2862	18	12	for	for	ADP
iajs-2862	18	13	pure	pure	ADJ
iajs-2862	18	14	science	science	NOUN
iajs-2862	18	15	\	\	PROPN
iajs-2862	18	16	ibn	ibn	PROPN
iajs-2862	18	17	alhaitham	alhaitham	NOUN
iajs-2862	18	18	,	,	PUNCT
iajs-2862	18	19	university	university	NOUN
iajs-2862	18	20	of	of	ADP
iajs-2862	18	21	baghdad	baghdad	PROPN
iajs-2862	18	22	,	,	PUNCT
iajs-2862	18	23	baghdad	baghdad	PROPN
iajs-2862	18	24	,	,	PUNCT
iajs-2862	18	25	iraq	iraq	PROPN
iajs-2862	18	26	.	.	PUNCT
iajs-2862	19	1	dr.huda_hm2029@yahoo.com	dr.huda_hm2029@yahoo.com	X
iajs-2862	19	2	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
iajs-2862	19	3	file:///f:/العدد%20الثاني%202022/:%20http:/jih.uobaghdad.edu.iq	file:///f:/العدد%20الثاني%202022/:%20http:/jih.uobaghdad.edu.iq	PROPN
iajs-2862	19	4	/	/	SYM
iajs-2862	19	5	index.php	index.php	VERB
iajs-2862	19	6	/	/	SYM
iajs-2862	19	7	j	j	NOUN
iajs-2862	19	8	/	/	SYM
iajs-2862	19	9	index	index	NOUN
iajs-2862	19	10	mailto:maadkatamosa@gmail.com	mailto:maadkatamosa@gmail.com	X
iajs-2862	19	11	mailto:maadkatamosa@gmail.com	mailto:maadkatamosa@gmail.com	X
iajs-2862	20	1	mailto:dr.huda_hm2029@yahoo.com	mailto:dr.huda_hm2029@yahoo.com	X
iajs-2862	20	2	ihjpas	ihjpas	PROPN
iajs-2862	20	3	.	.	PUNCT
iajs-2862	21	1	53	53	NUM
iajs-2862	21	2	(	(	PUNCT
iajs-2862	21	3	3)2022	3)2022	NOUN
iajs-2862	21	4	129	129	NUM
iajs-2862	21	5	variational	variational	ADJ
iajs-2862	21	6	iteration	iteration	NOUN
iajs-2862	21	7	method	method	NOUN
iajs-2862	21	8	,	,	PUNCT
iajs-2862	21	9	homotopy	homotopy	VERB
iajs-2862	21	10	analysis	analysis	NOUN
iajs-2862	21	11	method	method	NOUN
iajs-2862	21	12	,	,	PUNCT
iajs-2862	21	13	and	and	CCONJ
iajs-2862	21	14	homotopy	homotopy	VERB
iajs-2862	21	15	perturbation	perturbation	NOUN
iajs-2862	21	16	method	method	NOUN
iajs-2862	22	1	[	[	X
iajs-2862	22	2	5	5	NUM
iajs-2862	22	3	-	-	SYM
iajs-2862	22	4	9	9	NUM
iajs-2862	22	5	]	]	PUNCT
iajs-2862	22	6	.	.	PUNCT
iajs-2862	23	1	2	2	X
iajs-2862	23	2	.	.	X
iajs-2862	23	3	derivation	derivation	NOUN
iajs-2862	23	4	of	of	ADP
iajs-2862	23	5	sumudu	sumudu	NOUN
iajs-2862	23	6	transform	transform	NOUN
iajs-2862	23	7	and	and	CCONJ
iajs-2862	23	8	decomposition	decomposition	NOUN
iajs-2862	23	9	approach	approach	NOUN
iajs-2862	23	10	:	:	PUNCT
iajs-2862	23	11	consider	consider	VERB
iajs-2862	23	12	a	a	DET
iajs-2862	23	13	general	general	ADJ
iajs-2862	23	14	fractional	fractional	ADJ
iajs-2862	23	15	order	order	NOUN
iajs-2862	23	16	partial	partial	ADJ
iajs-2862	23	17	differential	differential	ADJ
iajs-2862	23	18	equations	equation	NOUN
iajs-2862	23	19	as	as	ADP
iajs-2862	23	20	the	the	DET
iajs-2862	23	21	form	form	NOUN
iajs-2862	23	22	:	:	PUNCT
iajs-2862	23	23	𝐷𝑡	𝐷𝑡	PROPN
iajs-2862	23	24	𝛼𝑦(𝑥	𝛼𝑦(𝑥	NOUN
iajs-2862	23	25	,	,	PUNCT
iajs-2862	23	26	𝑡	𝑡	X
iajs-2862	23	27	)	)	PUNCT
iajs-2862	23	28	+	+	CCONJ
iajs-2862	23	29	𝑅[𝑦(𝑥	𝑅[𝑦(𝑥	PRON
iajs-2862	23	30	,	,	PUNCT
iajs-2862	23	31	𝑡	𝑡	NOUN
iajs-2862	23	32	)	)	PUNCT
iajs-2862	23	33	]	]	PUNCT
iajs-2862	24	1	+	+	CCONJ
iajs-2862	24	2	𝑁[𝑦(𝑥	𝑁[𝑦(𝑥	NOUN
iajs-2862	24	3	,	,	PUNCT
iajs-2862	24	4	𝑡	𝑡	NOUN
iajs-2862	24	5	)	)	PUNCT
iajs-2862	24	6	]	]	PUNCT
iajs-2862	25	1	=	=	PUNCT
iajs-2862	25	2	𝑔(𝑥	𝑔(𝑥	PROPN
iajs-2862	25	3	,	,	PUNCT
iajs-2862	25	4	𝑡	𝑡	X
iajs-2862	25	5	)	)	PUNCT
iajs-2862	25	6	(	(	PUNCT
iajs-2862	25	7	1	1	X
iajs-2862	25	8	)	)	PUNCT
iajs-2862	25	9	as	as	ADP
iajs-2862	25	10	𝑦(𝑥	𝑦(𝑥	NUM
iajs-2862	25	11	,	,	PUNCT
iajs-2862	25	12	0	0	NUM
iajs-2862	25	13	)	)	PUNCT
iajs-2862	25	14	=	=	SYM
iajs-2862	25	15	𝑓(𝑥	𝑓(𝑥	NOUN
iajs-2862	25	16	)	)	PUNCT
iajs-2862	25	17	since	since	SCONJ
iajs-2862	25	18	,	,	PUNCT
iajs-2862	25	19	𝐷𝑡	𝐷𝑡	PROPN
iajs-2862	25	20	𝛼𝑦(𝑥	𝛼𝑦(𝑥	NOUN
iajs-2862	25	21	,	,	PUNCT
iajs-2862	25	22	𝑡	𝑡	X
iajs-2862	25	23	)	)	PUNCT
iajs-2862	25	24	represents	represent	VERB
iajs-2862	25	25	caputo	caputo	PROPN
iajs-2862	25	26	fractional	fractional	PROPN
iajs-2862	25	27	derivative	derivative	NOUN
iajs-2862	25	28	of	of	ADP
iajs-2862	25	29	𝑦(𝑥	𝑦(𝑥	PROPN
iajs-2862	25	30	,	,	PUNCT
iajs-2862	25	31	𝑡	𝑡	NOUN
iajs-2862	25	32	)	)	PUNCT
iajs-2862	25	33	which	which	PRON
iajs-2862	25	34	is	be	AUX
iajs-2862	25	35	defined	define	VERB
iajs-2862	25	36	as	as	ADP
iajs-2862	25	37	:	:	PUNCT
iajs-2862	25	38	𝜕𝛼	𝜕𝛼	NOUN
iajs-2862	25	39	𝜕𝑡𝛼	𝜕𝑡𝛼	PUNCT
iajs-2862	26	1	𝑦(𝑥	𝑦(𝑥	NOUN
iajs-2862	26	2	,	,	PUNCT
iajs-2862	26	3	𝑡	𝑡	NOUN
iajs-2862	26	4	)	)	PUNCT
iajs-2862	26	5	=	=	SYM
iajs-2862	26	6	{	{	PUNCT
iajs-2862	26	7	1	1	NUM
iajs-2862	26	8	γ(n	γ(n	PROPN
iajs-2862	26	9	−	−	PROPN
iajs-2862	26	10	α	α	SYM
iajs-2862	26	11	)	)	PUNCT
iajs-2862	26	12	∫	∫	PROPN
iajs-2862	26	13	(	(	PUNCT
iajs-2862	26	14	𝑡	𝑡	PROPN
iajs-2862	26	15	−	−	PROPN
iajs-2862	26	16	𝑠)𝑛−𝛼−1	𝑠)𝑛−𝛼−1	NOUN
iajs-2862	26	17	𝜕𝑛𝑦(𝑥	𝜕𝑛𝑦(𝑥	NOUN
iajs-2862	26	18	,	,	PUNCT
iajs-2862	26	19	𝑠	𝑠	NOUN
iajs-2862	26	20	)	)	PUNCT
iajs-2862	26	21	𝜕𝑡𝑛	𝜕𝑡𝑛	PUNCT
iajs-2862	27	1	𝑛	𝑛	DET
iajs-2862	27	2	−	−	PROPN
iajs-2862	27	3	1	1	NUM
iajs-2862	27	4	<	<	X
iajs-2862	27	5	𝛼	𝛼	X
iajs-2862	27	6	<	<	X
iajs-2862	27	7	𝑛	𝑛	PRON
iajs-2862	27	8	𝑡	𝑡	PROPN
iajs-2862	27	9	0	0	NUM
iajs-2862	27	10	𝜕𝑛𝑦(𝑥	𝜕𝑛𝑦(𝑥	NUM
iajs-2862	27	11	,	,	PUNCT
iajs-2862	27	12	𝑡	𝑡	NOUN
iajs-2862	27	13	)	)	PUNCT
iajs-2862	27	14	𝜕𝑡𝑛	𝜕𝑡𝑛	X
iajs-2862	27	15	𝛼	𝛼	X
iajs-2862	27	16	=	=	NOUN
iajs-2862	27	17	𝑛	𝑛	PRON
iajs-2862	27	18	∈	∈	NOUN
iajs-2862	27	19	𝑁	𝑁	PROPN
iajs-2862	27	20	}	}	PUNCT
iajs-2862	27	21	by	by	ADP
iajs-2862	27	22	taking	take	VERB
iajs-2862	27	23	sumudu	sumudu	NOUN
iajs-2862	27	24	transform	transform	NOUN
iajs-2862	27	25	of	of	ADP
iajs-2862	27	26	the	the	DET
iajs-2862	27	27	eq	eq	NOUN
iajs-2862	27	28	.	.	PUNCT
iajs-2862	28	1	(	(	PUNCT
iajs-2862	28	2	1	1	NUM
iajs-2862	28	3	)	)	PUNCT
iajs-2862	28	4	,	,	PUNCT
iajs-2862	28	5	get	get	VERB
iajs-2862	28	6	:	:	PUNCT
iajs-2862	28	7	using	use	VERB
iajs-2862	28	8	the	the	DET
iajs-2862	28	9	property	property	NOUN
iajs-2862	28	10	of	of	ADP
iajs-2862	28	11	sumudu	sumudu	NOUN
iajs-2862	28	12	transform	transform	NOUN
iajs-2862	28	13	of	of	ADP
iajs-2862	28	14	function	function	NOUN
iajs-2862	28	15	derivatives	derivative	NOUN
iajs-2862	28	16	is	be	AUX
iajs-2862	28	17	defined	define	VERB
iajs-2862	28	18	,	,	PUNCT
iajs-2862	28	19	we	we	PRON
iajs-2862	28	20	get	get	VERB
iajs-2862	28	21	:	:	PUNCT
iajs-2862	28	22	𝑆[𝑦(𝑥	𝑆[𝑦(𝑥	NOUN
iajs-2862	28	23	,	,	PUNCT
iajs-2862	28	24	𝑡	𝑡	NOUN
iajs-2862	28	25	)	)	PUNCT
iajs-2862	28	26	]	]	PUNCT
iajs-2862	29	1	=	=	SYM
iajs-2862	29	2	𝑦(𝑥	𝑦(𝑥	NOUN
iajs-2862	29	3	,	,	PUNCT
iajs-2862	29	4	0	0	NUM
iajs-2862	29	5	)	)	PUNCT
iajs-2862	30	1	+	+	CCONJ
iajs-2862	30	2	𝑠𝛼𝑆[𝑔(𝑥	𝑠𝛼𝑆[𝑔(𝑥	PROPN
iajs-2862	30	3	,	,	PUNCT
iajs-2862	30	4	𝑡	𝑡	PROPN
iajs-2862	30	5	)	)	PUNCT
iajs-2862	30	6	]	]	PUNCT
iajs-2862	30	7	−	−	PROPN
iajs-2862	30	8	𝑠𝛼𝑆[𝑅(𝑦(𝑥	𝑠𝛼𝑆[𝑅(𝑦(𝑥	PROPN
iajs-2862	30	9	,	,	PUNCT
iajs-2862	30	10	𝑡	𝑡	NOUN
iajs-2862	30	11	)	)	PUNCT
iajs-2862	30	12	)	)	PUNCT
iajs-2862	31	1	+	+	CCONJ
iajs-2862	31	2	𝑁(𝑦(𝑥	𝑁(𝑦(𝑥	NOUN
iajs-2862	31	3	,	,	PUNCT
iajs-2862	31	4	𝑡	𝑡	PROPN
iajs-2862	31	5	)	)	PUNCT
iajs-2862	31	6	)	)	PUNCT
iajs-2862	31	7	]	]	PUNCT
iajs-2862	31	8	(	(	PUNCT
iajs-2862	31	9	2	2	X
iajs-2862	31	10	)	)	PUNCT
iajs-2862	31	11	application	application	NOUN
iajs-2862	31	12	of	of	ADP
iajs-2862	31	13	sumudu	sumudu	NOUN
iajs-2862	31	14	inverse	inverse	NOUN
iajs-2862	31	15	transform	transform	NOUN
iajs-2862	31	16	on	on	ADP
iajs-2862	31	17	eq	eq	ADP
iajs-2862	31	18	.	.	PUNCT
iajs-2862	32	1	(	(	PUNCT
iajs-2862	32	2	2	2	X
iajs-2862	32	3	)	)	PUNCT
iajs-2862	32	4	yields	yield	NOUN
iajs-2862	32	5	:	:	PUNCT
iajs-2862	32	6	now	now	ADV
iajs-2862	32	7	,	,	PUNCT
iajs-2862	32	8	the	the	DET
iajs-2862	32	9	representation	representation	NOUN
iajs-2862	32	10	of	of	ADP
iajs-2862	32	11	the	the	DET
iajs-2862	32	12	solution	solution	NOUN
iajs-2862	32	13	for	for	ADP
iajs-2862	32	14	eq	eq	PROPN
iajs-2862	32	15	.	.	PUNCT
iajs-2862	33	1	(	(	PUNCT
iajs-2862	33	2	3	3	X
iajs-2862	33	3	)	)	PUNCT
iajs-2862	33	4	is	be	AUX
iajs-2862	33	5	given	give	VERB
iajs-2862	33	6	below	below	ADP
iajs-2862	33	7	:	:	PUNCT
iajs-2862	33	8	𝑦(𝑥	𝑦(𝑥	NUM
iajs-2862	33	9	,	,	PUNCT
iajs-2862	33	10	𝑡	𝑡	NOUN
iajs-2862	33	11	)	)	PUNCT
iajs-2862	33	12	=	=	NOUN
iajs-2862	33	13	∑𝑦𝑖(𝑥	∑𝑦𝑖(𝑥	PROPN
iajs-2862	33	14	,	,	PUNCT
iajs-2862	33	15	𝑡	𝑡	PROPN
iajs-2862	33	16	)	)	PUNCT
iajs-2862	33	17	∞	∞	PROPN
iajs-2862	33	18	𝑖=0	𝑖=0	PROPN
iajs-2862	33	19	(	(	PUNCT
iajs-2862	33	20	4	4	NUM
iajs-2862	33	21	)	)	PUNCT
iajs-2862	33	22	and	and	CCONJ
iajs-2862	33	23	𝑁[𝑦(𝑥	𝑁[𝑦(𝑥	VERB
iajs-2862	33	24	,	,	PUNCT
iajs-2862	33	25	𝑡	𝑡	NOUN
iajs-2862	33	26	)	)	PUNCT
iajs-2862	33	27	]	]	PUNCT
iajs-2862	34	1	=	=	SYM
iajs-2862	34	2	∑𝐴𝑖(𝑦0	∑𝐴𝑖(𝑦0	NOUN
iajs-2862	34	3	,	,	PUNCT
iajs-2862	34	4	𝑦1	𝑦1	NOUN
iajs-2862	34	5	,	,	PUNCT
iajs-2862	34	6	…	…	PUNCT
iajs-2862	34	7	.	.	PUNCT
iajs-2862	34	8	,	,	PUNCT
iajs-2862	34	9	𝑦𝑛	𝑦𝑛	NOUN
iajs-2862	34	10	)	)	PUNCT
iajs-2862	34	11	∞	∞	PROPN
iajs-2862	34	12	𝑖=0	𝑖=0	PROPN
iajs-2862	34	13	(	(	PUNCT
iajs-2862	34	14	5	5	NUM
iajs-2862	34	15	)	)	PUNCT
iajs-2862	34	16	where	where	SCONJ
iajs-2862	34	17	,	,	PUNCT
iajs-2862	34	18	𝐴𝑖	𝐴𝑖	PROPN
iajs-2862	34	19	are	be	AUX
iajs-2862	34	20	the	the	DET
iajs-2862	34	21	adomian	adomian	ADJ
iajs-2862	34	22	polynomials	polynomial	NOUN
iajs-2862	34	23	of	of	ADP
iajs-2862	34	24	functions	function	NOUN
iajs-2862	34	25	𝑦0	𝑦0	NOUN
iajs-2862	34	26	,	,	PUNCT
iajs-2862	34	27	𝑦1	𝑦1	NOUN
iajs-2862	34	28	,	,	PUNCT
iajs-2862	34	29	…	…	PUNCT
iajs-2862	34	30	.	.	PUNCT
iajs-2862	35	1	,	,	PUNCT
iajs-2862	35	2	𝑦𝑛	𝑦𝑛	SCONJ
iajs-2862	35	3	that	that	PRON
iajs-2862	35	4	can	can	AUX
iajs-2862	35	5	be	be	AUX
iajs-2862	35	6	calculated	calculate	VERB
iajs-2862	35	7	by	by	ADP
iajs-2862	35	8	the	the	DET
iajs-2862	35	9	formula	formula	NOUN
iajs-2862	35	10	given	give	VERB
iajs-2862	35	11	as	as	ADP
iajs-2862	35	12	:	:	PUNCT
iajs-2862	35	13	𝐴𝑖	𝐴𝑖	PROPN
iajs-2862	35	14	=	=	SYM
iajs-2862	35	15	1	1	NUM
iajs-2862	35	16	𝑖	𝑖	X
iajs-2862	35	17	!	!	PUNCT
iajs-2862	36	1	𝜕𝑖	𝜕𝑖	NOUN
iajs-2862	36	2	𝜕𝜆𝑖	𝜕𝜆𝑖	PUNCT
iajs-2862	37	1	[	[	X
iajs-2862	37	2	𝑁	𝑁	PROPN
iajs-2862	37	3	(	(	PUNCT
iajs-2862	37	4	∑𝜆𝑖𝑦𝑖	∑𝜆𝑖𝑦𝑖	PROPN
iajs-2862	37	5	∞	∞	PROPN
iajs-2862	37	6	𝑖=0	𝑖=0	PROPN
iajs-2862	37	7	)	)	PUNCT
iajs-2862	37	8	]	]	PUNCT
iajs-2862	37	9	𝜆=0	𝜆=0	PRON
iajs-2862	37	10	substituting	substitute	VERB
iajs-2862	37	11	eqs	eqs	PROPN
iajs-2862	37	12	.	.	PUNCT
iajs-2862	38	1	(	(	PUNCT
iajs-2862	38	2	4	4	NUM
iajs-2862	38	3	)	)	PUNCT
iajs-2862	38	4	and	and	CCONJ
iajs-2862	38	5	(	(	PUNCT
iajs-2862	38	6	5	5	NUM
iajs-2862	38	7	)	)	PUNCT
iajs-2862	38	8	in	in	ADP
iajs-2862	38	9	eq	eq	ADP
iajs-2862	38	10	.	.	PUNCT
iajs-2862	39	1	(	(	PUNCT
iajs-2862	39	2	3	3	NUM
iajs-2862	39	3	):	):	PUNCT
iajs-2862	39	4	∑𝑦𝑖(𝑥	∑𝑦𝑖(𝑥	PROPN
iajs-2862	39	5	,	,	PUNCT
iajs-2862	39	6	𝑡	𝑡	PROPN
iajs-2862	39	7	)	)	PUNCT
iajs-2862	39	8	∞	∞	NUM
iajs-2862	39	9	𝑖=0	𝑖=0	PUNCT
iajs-2862	40	1	=	=	PRON
iajs-2862	40	2	∑	∑	SYM
iajs-2862	40	3	𝑦(𝑥	𝑦(𝑥	PROPN
iajs-2862	40	4	,	,	PUNCT
iajs-2862	40	5	0)(𝑘	0)(𝑘	NOUN
iajs-2862	40	6	)	)	PUNCT
iajs-2862	40	7	𝑆𝛼−𝑘	𝑆𝛼−𝑘	NOUN
iajs-2862	40	8	∞	∞	NUM
iajs-2862	40	9	𝑘=0	𝑘=0	PROPN
iajs-2862	40	10	+	+	CCONJ
iajs-2862	40	11	𝑆−1(𝑠𝛼𝑆[𝑔(𝑥	𝑆−1(𝑠𝛼𝑆[𝑔(𝑥	PROPN
iajs-2862	40	12	,	,	PUNCT
iajs-2862	40	13	𝑡)])𝑆−1	𝑡)])𝑆−1	VERB
iajs-2862	41	1	[	[	PUNCT
iajs-2862	41	2	𝑠𝛼𝑆	𝑠𝛼𝑆	NOUN
iajs-2862	41	3	[	[	X
iajs-2862	41	4	𝑅	𝑅	PROPN
iajs-2862	41	5	(	(	PUNCT
iajs-2862	41	6	∑𝑦𝑖(𝑥	∑𝑦𝑖(𝑥	PROPN
iajs-2862	41	7	,	,	PUNCT
iajs-2862	41	8	𝑡	𝑡	PROPN
iajs-2862	41	9	)	)	PUNCT
iajs-2862	41	10	∞	∞	PROPN
iajs-2862	41	11	𝑖=0	𝑖=0	PROPN
iajs-2862	41	12	)	)	PUNCT
iajs-2862	42	1	+	+	PUNCT
iajs-2862	42	2	∑𝐴𝑖	∑𝐴𝑖	PROPN
iajs-2862	42	3	∞	∞	NUM
iajs-2862	42	4	𝑖=0	𝑖=0	PROPN
iajs-2862	42	5	]	]	X
iajs-2862	42	6	]	]	X
iajs-2862	42	7	(	(	PUNCT
iajs-2862	42	8	6	6	NUM
iajs-2862	42	9	)	)	PUNCT
iajs-2862	42	10	simplification	simplification	NOUN
iajs-2862	42	11	of	of	ADP
iajs-2862	42	12	eq	eq	PROPN
iajs-2862	42	13	.	.	PUNCT
iajs-2862	43	1	(	(	PUNCT
iajs-2862	43	2	6	6	NUM
iajs-2862	43	3	)	)	PUNCT
iajs-2862	43	4	as	as	ADV
iajs-2862	43	5	many	many	ADJ
iajs-2862	43	6	times	time	NOUN
iajs-2862	43	7	as	as	ADP
iajs-2862	43	8	possible	possible	ADJ
iajs-2862	43	9	resulted	result	VERB
iajs-2862	43	10	in	in	ADP
iajs-2862	43	11	a	a	DET
iajs-2862	43	12	series	series	NOUN
iajs-2862	43	13	solutions	solution	NOUN
iajs-2862	43	14	,	,	PUNCT
iajs-2862	43	15	we	we	PRON
iajs-2862	43	16	get	get	VERB
iajs-2862	43	17	:	:	PUNCT
iajs-2862	43	18	𝑆[𝐷𝑡	𝑆[𝐷𝑡	PROPN
iajs-2862	43	19	𝛼𝑦	𝛼𝑦	PROPN
iajs-2862	43	20	(	(	PUNCT
iajs-2862	43	21	𝑥	𝑥	PROPN
iajs-2862	43	22	,	,	PUNCT
iajs-2862	43	23	𝑡)]+	𝑡)]+	PROPN
iajs-2862	43	24	𝑆[𝑅[𝑦	𝑆[𝑅[𝑦	PROPN
iajs-2862	43	25	(	(	PUNCT
iajs-2862	43	26	𝑥	𝑥	PROPN
iajs-2862	43	27	,	,	PUNCT
iajs-2862	43	28	𝑡)]]+	𝑡)]]+	PROPN
iajs-2862	43	29	𝑆[𝑁[𝑦	𝑆[𝑁[𝑦	CCONJ
iajs-2862	43	30	(	(	PUNCT
iajs-2862	43	31	𝑥	𝑥	PROPN
iajs-2862	43	32	,	,	PUNCT
iajs-2862	43	33	𝑡	𝑡	PROPN
iajs-2862	43	34	)	)	PUNCT
iajs-2862	43	35	]	]	PUNCT
iajs-2862	43	36	]	]	X
iajs-2862	44	1	=	=	SYM
iajs-2862	44	2	𝑆[𝑔	𝑆[𝑔	PROPN
iajs-2862	44	3	(	(	PUNCT
iajs-2862	44	4	𝑥	𝑥	PROPN
iajs-2862	44	5	,	,	PUNCT
iajs-2862	44	6	𝑡	𝑡	NOUN
iajs-2862	44	7	)	)	PUNCT
iajs-2862	44	8	]	]	PUNCT
iajs-2862	44	9	ihjpas	ihjpa	VERB
iajs-2862	44	10	.	.	PUNCT
iajs-2862	45	1	53	53	NUM
iajs-2862	45	2	(	(	PUNCT
iajs-2862	45	3	3)2022	3)2022	NOUN
iajs-2862	45	4	130	130	NUM
iajs-2862	45	5	𝑦0(𝑥	𝑦0(𝑥	NUM
iajs-2862	45	6	,	,	PUNCT
iajs-2862	45	7	𝑡	𝑡	X
iajs-2862	45	8	)	)	PUNCT
iajs-2862	45	9	=	=	SYM
iajs-2862	45	10	∑	∑	PUNCT
iajs-2862	45	11	𝑦(𝑥	𝑦(𝑥	PROPN
iajs-2862	45	12	,	,	PUNCT
iajs-2862	45	13	0)(𝑘	0)(𝑘	NOUN
iajs-2862	45	14	)	)	PUNCT
iajs-2862	45	15	𝑆𝛼−𝑘	𝑆𝛼−𝑘	NOUN
iajs-2862	45	16	∞	∞	NUM
iajs-2862	45	17	𝑘=0	𝑘=0	PROPN
iajs-2862	45	18	+	+	CCONJ
iajs-2862	45	19	𝑆−1(𝑠𝛼𝑆[𝑔(𝑥	𝑆−1(𝑠𝛼𝑆[𝑔(𝑥	PROPN
iajs-2862	45	20	,	,	PUNCT
iajs-2862	45	21	𝑡	𝑡	NOUN
iajs-2862	45	22	)	)	PUNCT
iajs-2862	45	23	]	]	PUNCT
iajs-2862	45	24	)	)	PUNCT
iajs-2862	46	1	𝑦1(𝑥	𝑦1(𝑥	NUM
iajs-2862	46	2	,	,	PUNCT
iajs-2862	46	3	𝑡	𝑡	X
iajs-2862	46	4	)	)	PUNCT
iajs-2862	46	5	=	=	SYM
iajs-2862	47	1	−𝑆	−𝑆	ADJ
iajs-2862	47	2	−1[𝑠𝛼𝑆[𝑅(𝑦0(𝑥	−1[𝑠𝛼𝑆[𝑅(𝑦0(𝑥	PUNCT
iajs-2862	47	3	,	,	PUNCT
iajs-2862	47	4	𝑡	𝑡	NOUN
iajs-2862	47	5	)	)	PUNCT
iajs-2862	47	6	)	)	PUNCT
iajs-2862	48	1	+	+	CCONJ
iajs-2862	48	2	𝐴0	𝐴0	PROPN
iajs-2862	48	3	]	]	X
iajs-2862	48	4	]	]	X
iajs-2862	48	5	𝑦2(𝑥	𝑦2(𝑥	NUM
iajs-2862	48	6	,	,	PUNCT
iajs-2862	48	7	𝑡	𝑡	PROPN
iajs-2862	48	8	)	)	PUNCT
iajs-2862	48	9	=	=	PUNCT
iajs-2862	49	1	−𝑆−1	−𝑆−1	NUM
iajs-2862	50	1	[	[	X
iajs-2862	50	2	𝑠𝛼𝑆[𝑅(𝑦1(𝑥	𝑠𝛼𝑆[𝑅(𝑦1(𝑥	NOUN
iajs-2862	50	3	,	,	PUNCT
iajs-2862	50	4	𝑡	𝑡	NOUN
iajs-2862	50	5	)	)	PUNCT
iajs-2862	50	6	)	)	PUNCT
iajs-2862	51	1	+	+	CCONJ
iajs-2862	51	2	𝐴1	𝐴1	PROPN
iajs-2862	51	3	]	]	X
iajs-2862	51	4	]	]	X
iajs-2862	51	5	⋮	⋮	PROPN
iajs-2862	51	6	𝑦𝑖(𝑥	𝑦𝑖(𝑥	PROPN
iajs-2862	51	7	,	,	PUNCT
iajs-2862	51	8	𝑡	𝑡	X
iajs-2862	51	9	)	)	PUNCT
iajs-2862	51	10	=	=	SYM
iajs-2862	51	11	−𝑆	−𝑆	ADJ
iajs-2862	51	12	−1[𝑠𝛼𝑆[𝑅(𝑦𝑛−1(𝑥	−1[𝑠𝛼𝑆[𝑅(𝑦𝑛−1(𝑥	PROPN
iajs-2862	51	13	,	,	PUNCT
iajs-2862	51	14	𝑡	𝑡	NOUN
iajs-2862	51	15	)	)	PUNCT
iajs-2862	51	16	)	)	PUNCT
iajs-2862	52	1	+	+	PUNCT
iajs-2862	53	1	𝐴𝑛	𝐴𝑛	NOUN
iajs-2862	53	2	]	]	X
iajs-2862	53	3	]	]	PUNCT
iajs-2862	53	4	finally	finally	ADV
iajs-2862	53	5	,	,	PUNCT
iajs-2862	53	6	the	the	DET
iajs-2862	53	7	iteration	iteration	NOUN
iajs-2862	53	8	𝑦0	𝑦0	NOUN
iajs-2862	53	9	,	,	PUNCT
iajs-2862	53	10	𝑦1	𝑦1	NOUN
iajs-2862	53	11	,	,	PUNCT
iajs-2862	53	12	…	…	PUNCT
iajs-2862	53	13	.	.	PUNCT
iajs-2862	53	14	,	,	PUNCT
iajs-2862	53	15	𝑦𝑖	𝑦𝑖	PROPN
iajs-2862	53	16	were	be	AUX
iajs-2862	53	17	obtained	obtain	VERB
iajs-2862	53	18	and	and	CCONJ
iajs-2862	53	19	we	we	PRON
iajs-2862	53	20	get	get	VERB
iajs-2862	53	21	𝑦(𝑥	𝑦(𝑥	NOUN
iajs-2862	53	22	,	,	PUNCT
iajs-2862	53	23	𝑡	𝑡	NOUN
iajs-2862	53	24	)	)	PUNCT
iajs-2862	53	25	=	=	SYM
iajs-2862	53	26	∑	∑	PUNCT
iajs-2862	53	27	𝑦𝑖(𝑥	𝑦𝑖(𝑥	PROPN
iajs-2862	53	28	,	,	PUNCT
iajs-2862	53	29	𝑡	𝑡	PROPN
iajs-2862	53	30	)	)	PUNCT
iajs-2862	53	31	∞	∞	PROPN
iajs-2862	53	32	𝑖=0	𝑖=0	PROPN
iajs-2862	53	33	.	.	PUNCT
iajs-2862	54	1	3	3	X
iajs-2862	54	2	.	.	X
iajs-2862	54	3	numerical	numerical	PROPN
iajs-2862	54	4	example	example	NOUN
iajs-2862	54	5	the	the	DET
iajs-2862	54	6	following	follow	VERB
iajs-2862	54	7	example	example	NOUN
iajs-2862	54	8	demonstrates	demonstrate	VERB
iajs-2862	54	9	the	the	DET
iajs-2862	54	10	efficiency	efficiency	NOUN
iajs-2862	54	11	and	and	CCONJ
iajs-2862	54	12	reliability	reliability	NOUN
iajs-2862	54	13	of	of	ADP
iajs-2862	54	14	the	the	DET
iajs-2862	54	15	sumudu	sumudu	NOUN
iajs-2862	54	16	transform	transform	VERB
iajs-2862	54	17	adomian	adomian	NOUN
iajs-2862	54	18	decomposition	decomposition	NOUN
iajs-2862	54	19	method	method	NOUN
iajs-2862	54	20	(	(	PUNCT
iajs-2862	54	21	stadm	stadm	NOUN
iajs-2862	54	22	)	)	PUNCT
iajs-2862	54	23	.	.	PUNCT
iajs-2862	55	1	the	the	DET
iajs-2862	55	2	software	software	NOUN
iajs-2862	55	3	matlab	matlab	PROPN
iajs-2862	55	4	r2021b	r2021b	NOUN
iajs-2862	55	5	is	be	AUX
iajs-2862	55	6	used	use	VERB
iajs-2862	55	7	to	to	PART
iajs-2862	55	8	calculate	calculate	VERB
iajs-2862	55	9	all	all	PRON
iajs-2862	55	10	of	of	ADP
iajs-2862	55	11	the	the	DET
iajs-2862	55	12	results	result	NOUN
iajs-2862	55	13	.	.	PUNCT
iajs-2862	56	1	example	example	NOUN
iajs-2862	56	2	3.1	3.1	NUM
iajs-2862	56	3	:	:	PUNCT
iajs-2862	56	4	consider	consider	VERB
iajs-2862	56	5	𝜕𝛼𝑦	𝜕𝛼𝑦	ADJ
iajs-2862	56	6	𝜕𝑡𝛼	𝜕𝑡𝛼	PUNCT
iajs-2862	57	1	−	−	NOUN
iajs-2862	57	2	𝜕𝑦	𝜕𝑦	NOUN
iajs-2862	57	3	𝜕𝑥	𝜕𝑥	X
iajs-2862	57	4	−	−	ADP
iajs-2862	58	1	𝜕2𝑦	𝜕2𝑦	DET
iajs-2862	58	2	𝜕𝑥2	𝜕𝑥2	NOUN
iajs-2862	58	3	=	=	PUNCT
iajs-2862	58	4	0	0	NUM
iajs-2862	58	5	0	0	NUM
iajs-2862	58	6	<	<	X
iajs-2862	58	7	𝛼	𝛼	X
iajs-2862	58	8	≤	≤	NUM
iajs-2862	58	9	1	1	NUM
iajs-2862	58	10	(	(	PUNCT
iajs-2862	58	11	7	7	NUM
iajs-2862	58	12	)	)	PUNCT
iajs-2862	58	13	and	and	CCONJ
iajs-2862	58	14	𝑦(𝑥	𝑦(𝑥	PROPN
iajs-2862	58	15	,	,	PUNCT
iajs-2862	58	16	0	0	NUM
iajs-2862	58	17	)	)	PUNCT
iajs-2862	58	18	=	=	SYM
iajs-2862	58	19	𝑥	𝑥	PRON
iajs-2862	58	20	solution	solution	NOUN
iajs-2862	58	21	:	:	PUNCT
iajs-2862	58	22	by	by	ADP
iajs-2862	58	23	taking	take	VERB
iajs-2862	58	24	sumudu	sumudu	NOUN
iajs-2862	58	25	transform	transform	NOUN
iajs-2862	58	26	for	for	ADP
iajs-2862	58	27	eq	eq	NOUN
iajs-2862	58	28	.	.	PUNCT
iajs-2862	58	29	(	(	PUNCT
iajs-2862	58	30	7	7	NUM
iajs-2862	58	31	)	)	PUNCT
iajs-2862	58	32	and	and	CCONJ
iajs-2862	58	33	using	use	VERB
iajs-2862	58	34	the	the	DET
iajs-2862	58	35	initial	initial	ADJ
iajs-2862	58	36	condition	condition	NOUN
iajs-2862	58	37	,	,	PUNCT
iajs-2862	58	38	we	we	PRON
iajs-2862	58	39	get	get	VERB
iajs-2862	58	40	:	:	PUNCT
iajs-2862	58	41	𝑆[𝑦	𝑆[𝑦	ADJ
iajs-2862	58	42	]	]	PUNCT
iajs-2862	58	43	𝑢𝛼	𝑢𝛼	NOUN
iajs-2862	58	44	=	=	PUNCT
iajs-2862	58	45	𝑥	𝑥	PROPN
iajs-2862	59	1	+	+	CCONJ
iajs-2862	59	2	𝑆	𝑆	PROPN
iajs-2862	59	3	[	[	PUNCT
iajs-2862	59	4	𝜕𝑦	𝜕𝑦	NOUN
iajs-2862	59	5	𝜕𝑥	𝜕𝑥	X
iajs-2862	59	6	+	+	CCONJ
iajs-2862	59	7	𝜕2𝑦	𝜕2𝑦	NUM
iajs-2862	59	8	𝜕𝑥2	𝜕𝑥2	NOUN
iajs-2862	59	9	]	]	PUNCT
iajs-2862	60	1	𝑆	𝑆	PROPN
iajs-2862	61	1	[	[	X
iajs-2862	61	2	𝑦	𝑦	X
iajs-2862	61	3	]	]	X
iajs-2862	61	4	=	=	PUNCT
iajs-2862	61	5	𝑥	𝑥	PROPN
iajs-2862	61	6	+	+	PUNCT
iajs-2862	61	7	𝑢𝛼𝑆	𝑢𝛼𝑆	NOUN
iajs-2862	61	8	[	[	PUNCT
iajs-2862	61	9	𝜕𝑦	𝜕𝑦	NOUN
iajs-2862	61	10	𝜕𝑥	𝜕𝑥	X
iajs-2862	61	11	+	+	CCONJ
iajs-2862	61	12	𝜕2𝑦	𝜕2𝑦	NUM
iajs-2862	61	13	𝜕𝑥2	𝜕𝑥2	NOUN
iajs-2862	61	14	]	]	PUNCT
iajs-2862	61	15	and	and	CCONJ
iajs-2862	61	16	applying	apply	VERB
iajs-2862	61	17	the	the	DET
iajs-2862	61	18	inverse	inverse	NOUN
iajs-2862	61	19	sumudu	sumudu	NOUN
iajs-2862	61	20	transform	transform	NOUN
iajs-2862	61	21	for	for	ADP
iajs-2862	61	22	the	the	DET
iajs-2862	61	23	above	above	ADJ
iajs-2862	61	24	equation	equation	NOUN
iajs-2862	61	25	𝑦(𝑥	𝑦(𝑥	NOUN
iajs-2862	61	26	,	,	PUNCT
iajs-2862	61	27	𝑡	𝑡	NOUN
iajs-2862	61	28	)	)	PUNCT
iajs-2862	61	29	=	=	SYM
iajs-2862	62	1	𝑥	𝑥	PROPN
iajs-2862	63	1	+	+	CCONJ
iajs-2862	63	2	𝑆−1	𝑆−1	VERB
iajs-2862	63	3	[	[	X
iajs-2862	63	4	𝑢𝛼𝑆	𝑢𝛼𝑆	NOUN
iajs-2862	63	5	[	[	PUNCT
iajs-2862	63	6	𝜕𝑦	𝜕𝑦	NOUN
iajs-2862	63	7	𝜕𝑥	𝜕𝑥	X
iajs-2862	63	8	+	+	CCONJ
iajs-2862	63	9	𝜕2𝑦	𝜕2𝑦	NUM
iajs-2862	63	10	𝜕𝑥2	𝜕𝑥2	NOUN
iajs-2862	63	11	]	]	X
iajs-2862	63	12	]	]	X
iajs-2862	63	13	(	(	PUNCT
iajs-2862	63	14	8)	8)	NUM
iajs-2862	63	15	that	that	PRON
iajs-2862	63	16	assumes	assume	VERB
iajs-2862	63	17	a	a	DET
iajs-2862	63	18	series	series	NOUN
iajs-2862	63	19	solution	solution	NOUN
iajs-2862	63	20	of	of	ADP
iajs-2862	63	21	the	the	DET
iajs-2862	63	22	function	function	NOUN
iajs-2862	63	23	𝑦(𝑥	𝑦(𝑥	PROPN
iajs-2862	63	24	,	,	PUNCT
iajs-2862	63	25	𝑡	𝑡	NOUN
iajs-2862	63	26	)	)	PUNCT
iajs-2862	63	27	and	and	CCONJ
iajs-2862	63	28	is	be	AUX
iajs-2862	63	29	given	give	VERB
iajs-2862	63	30	by	by	ADP
iajs-2862	63	31	:	:	PUNCT
iajs-2862	63	32	𝑦(𝑥	𝑦(𝑥	NUM
iajs-2862	63	33	,	,	PUNCT
iajs-2862	63	34	𝑡	𝑡	NOUN
iajs-2862	63	35	)	)	PUNCT
iajs-2862	63	36	=	=	SYM
iajs-2862	63	37	∑𝑦𝑛(𝑥	∑𝑦𝑛(𝑥	PROPN
iajs-2862	63	38	,	,	PUNCT
iajs-2862	63	39	𝑡	𝑡	NOUN
iajs-2862	63	40	)	)	PUNCT
iajs-2862	63	41	∞	∞	NUM
iajs-2862	63	42	𝑛=0	𝑛=0	NOUN
iajs-2862	63	43	(	(	PUNCT
iajs-2862	63	44	9	9	X
iajs-2862	63	45	)	)	PUNCT
iajs-2862	63	46	using	use	VERB
iajs-2862	63	47	eqs	eqs	PROPN
iajs-2862	63	48	.	.	PUNCT
iajs-2862	64	1	(	(	PUNCT
iajs-2862	64	2	9	9	NUM
iajs-2862	64	3	)	)	PUNCT
iajs-2862	64	4	and	and	CCONJ
iajs-2862	64	5	(	(	PUNCT
iajs-2862	64	6	8)	8)	NUM
iajs-2862	64	7	,	,	PUNCT
iajs-2862	64	8	we	we	PRON
iajs-2862	64	9	get	get	VERB
iajs-2862	64	10	:	:	PUNCT
iajs-2862	64	11	then	then	ADV
iajs-2862	64	12	,	,	PUNCT
iajs-2862	64	13	we	we	PRON
iajs-2862	64	14	get	get	VERB
iajs-2862	64	15	:	:	PUNCT
iajs-2862	64	16	𝑦0(𝑥	𝑦0(𝑥	NUM
iajs-2862	64	17	,	,	PUNCT
iajs-2862	64	18	𝑡	𝑡	X
iajs-2862	64	19	)	)	PUNCT
iajs-2862	64	20	=	=	SYM
iajs-2862	64	21	𝑥	𝑥	DET
iajs-2862	64	22	𝑦𝑛+1(𝑥	𝑦𝑛+1(𝑥	PROPN
iajs-2862	64	23	,	,	PUNCT
iajs-2862	64	24	𝑡	𝑡	NOUN
iajs-2862	64	25	)	)	PUNCT
iajs-2862	64	26	=	=	SYM
iajs-2862	64	27	𝑆	𝑆	PROPN
iajs-2862	64	28	−1[𝑢𝛼𝑆[𝑦𝑛𝑥	−1[𝑢𝛼𝑆[𝑦𝑛𝑥	NOUN
iajs-2862	64	29	+	+	CCONJ
iajs-2862	64	30	𝑦𝑛𝑥𝑥	𝑦𝑛𝑥𝑥	PROPN
iajs-2862	64	31	]	]	X
iajs-2862	64	32	]	]	PUNCT
iajs-2862	64	33	for	for	ADP
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iajs-2862	64	35	=	=	SYM
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iajs-2862	64	39	𝑡	𝑡	X
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iajs-2862	64	43	−1[𝑢𝛼𝑆[1	−1[𝑢𝛼𝑆[1	PROPN
iajs-2862	64	44	]	]	X
iajs-2862	64	45	]	]	X
iajs-2862	64	46	=	=	PUNCT
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iajs-2862	64	49	+	+	CCONJ
iajs-2862	64	50	1	1	X
iajs-2862	64	51	)	)	PUNCT
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iajs-2862	64	54	=	=	SYM
iajs-2862	64	55	1	1	NUM
iajs-2862	64	56	𝑦2(𝑥	𝑦2(𝑥	NUM
iajs-2862	64	57	,	,	PUNCT
iajs-2862	64	58	𝑡	𝑡	PROPN
iajs-2862	64	59	)	)	PUNCT
iajs-2862	64	60	=	=	SYM
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iajs-2862	64	62	−1[𝑢𝛼𝑆[𝑦1𝑥	−1[𝑢𝛼𝑆[𝑦1𝑥	NOUN
iajs-2862	64	63	+	+	CCONJ
iajs-2862	64	64	𝑦1𝑥𝑥	𝑦1𝑥𝑥	X
iajs-2862	64	65	]	]	X
iajs-2862	64	66	]	]	X
iajs-2862	64	67	=	=	SYM
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iajs-2862	64	72	=	=	SYM
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iajs-2862	64	75	,	,	PUNCT
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iajs-2862	64	77	,	,	PUNCT
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iajs-2862	67	14	+	+	NUM
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iajs-2862	67	17	(	(	PUNCT
iajs-2862	67	18	∑𝑦𝑛(𝑥	∑𝑦𝑛(𝑥	PROPN
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iajs-2862	67	20	𝑡	𝑡	NOUN
iajs-2862	67	21	)	)	PUNCT
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iajs-2862	68	7	𝑡	𝑡	NOUN
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iajs-2862	68	9	=	=	SYM
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iajs-2862	68	11	,	,	PUNCT
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iajs-2862	68	13	)	)	PUNCT
iajs-2862	68	14	∞	∞	NUM
iajs-2862	68	15	𝑛=0	𝑛=0	X
iajs-2862	68	16	=	=	SYM
iajs-2862	68	17	𝑦0	𝑦0	NOUN
iajs-2862	68	18	+	+	CCONJ
iajs-2862	68	19	𝑦1	𝑦1	NOUN
iajs-2862	68	20	+	+	CCONJ
iajs-2862	68	21	𝑦2	𝑦2	PROPN
iajs-2862	69	1	+	+	PROPN
iajs-2862	69	2	⋯	⋯	PROPN
iajs-2862	69	3	=	=	SYM
iajs-2862	69	4	𝑥	𝑥	PROPN
iajs-2862	70	1	+	+	CCONJ
iajs-2862	70	2	𝑡𝛼	𝑡𝛼	PROPN
iajs-2862	70	3	γ(α	γ(α	NOUN
iajs-2862	70	4	+	+	CCONJ
iajs-2862	70	5	1	1	X
iajs-2862	70	6	)	)	PUNCT
iajs-2862	70	7	when	when	SCONJ
iajs-2862	70	8	𝛼	𝛼	X
iajs-2862	70	9	=	=	SYM
iajs-2862	70	10	1	1	NUM
iajs-2862	70	11	,	,	PUNCT
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iajs-2862	70	13	,	,	PUNCT
iajs-2862	70	14	𝑡	𝑡	NOUN
iajs-2862	70	15	)	)	PUNCT
iajs-2862	70	16	=	=	SYM
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iajs-2862	71	2	+	+	NUM
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iajs-2862	71	5	,	,	PUNCT
iajs-2862	71	6	𝑡	𝑡	X
iajs-2862	71	7	)	)	PUNCT
iajs-2862	71	8	=	=	SYM
iajs-2862	72	1	𝑥	𝑥	PRON
iajs-2862	72	2	𝑦1(𝑥	𝑦1(𝑥	NUM
iajs-2862	72	3	,	,	PUNCT
iajs-2862	72	4	𝑡	𝑡	X
iajs-2862	72	5	)	)	PUNCT
iajs-2862	72	6	=	=	PUNCT
iajs-2862	72	7	𝑡𝛼	𝑡𝛼	ADP
iajs-2862	72	8	γ(α+1	γ(α+1	NOUN
iajs-2862	72	9	)	)	PUNCT
iajs-2862	72	10	and	and	CCONJ
iajs-2862	72	11	𝑦2(𝑥	𝑦2(𝑥	ADJ
iajs-2862	72	12	,	,	PUNCT
iajs-2862	72	13	𝑡	𝑡	PROPN
iajs-2862	72	14	)	)	PUNCT
iajs-2862	72	15	=	=	SYM
iajs-2862	72	16	𝑦3(𝑥	𝑦3(𝑥	PROPN
iajs-2862	72	17	,	,	PUNCT
iajs-2862	72	18	𝑡	𝑡	X
iajs-2862	72	19	)	)	PUNCT
iajs-2862	72	20	=	=	SYM
iajs-2862	72	21	0	0	NUM
iajs-2862	72	22	4	4	X
iajs-2862	72	23	.	.	PUNCT
iajs-2862	72	24	results	result	NOUN
iajs-2862	72	25	and	and	CCONJ
iajs-2862	72	26	discussion	discussion	NOUN
iajs-2862	72	27	:	:	PUNCT
iajs-2862	72	28	the	the	DET
iajs-2862	72	29	following	follow	VERB
iajs-2862	72	30	tables	table	NOUN
iajs-2862	72	31	and	and	CCONJ
iajs-2862	72	32	figures	figure	NOUN
iajs-2862	72	33	present	present	VERB
iajs-2862	72	34	the	the	DET
iajs-2862	72	35	absolute	absolute	ADJ
iajs-2862	72	36	error	error	NOUN
iajs-2862	72	37	between	between	ADP
iajs-2862	72	38	the	the	DET
iajs-2862	72	39	same	same	ADJ
iajs-2862	72	40	solution	solution	NOUN
iajs-2862	72	41	and	and	CCONJ
iajs-2862	72	42	approximate	approximate	ADJ
iajs-2862	72	43	solutions	solution	NOUN
iajs-2862	72	44	for	for	ADP
iajs-2862	72	45	example	example	NOUN
iajs-2862	72	46	(	(	PUNCT
iajs-2862	72	47	3.1	3.1	NUM
iajs-2862	72	48	)	)	PUNCT
iajs-2862	72	49	at	at	ADP
iajs-2862	72	50	various	various	ADJ
iajs-2862	72	51	values	value	NOUN
iajs-2862	72	52	of	of	ADP
iajs-2862	72	53	t	t	NOUN
iajs-2862	72	54	=	=	SYM
iajs-2862	72	55	0,0.1	0,0.1	NUM
iajs-2862	72	56	.	.	PUNCT
iajs-2862	73	1	here	here	ADV
iajs-2862	73	2	,	,	PUNCT
iajs-2862	73	3	we	we	PRON
iajs-2862	73	4	use	use	VERB
iajs-2862	73	5	several	several	ADJ
iajs-2862	73	6	terms	term	NOUN
iajs-2862	73	7	to	to	PART
iajs-2862	73	8	approximate	approximate	VERB
iajs-2862	73	9	the	the	DET
iajs-2862	73	10	exact	exact	ADJ
iajs-2862	73	11	solution	solution	NOUN
iajs-2862	73	12	,	,	PUNCT
iajs-2862	73	13	and	and	CCONJ
iajs-2862	73	14	the	the	DET
iajs-2862	73	15	proposed	propose	VERB
iajs-2862	73	16	method	method	NOUN
iajs-2862	73	17	,	,	PUNCT
iajs-2862	73	18	fstadm	fstadm	NOUN
iajs-2862	73	19	,	,	PUNCT
iajs-2862	73	20	has	have	VERB
iajs-2862	73	21	a	a	DET
iajs-2862	73	22	high	high	ADJ
iajs-2862	73	23	convergence	convergence	NOUN
iajs-2862	73	24	order	order	NOUN
iajs-2862	73	25	and	and	CCONJ
iajs-2862	73	26	higher	high	ADJ
iajs-2862	73	27	accuracy	accuracy	NOUN
iajs-2862	73	28	we	we	PRON
iajs-2862	73	29	get	get	VERB
iajs-2862	73	30	.	.	PUNCT
iajs-2862	74	1	similarly	similarly	ADV
iajs-2862	74	2	,	,	PUNCT
iajs-2862	74	3	figure4.1	figure4.1	NOUN
iajs-2862	74	4	–	–	PUNCT
iajs-2862	74	5	figure4.6	figure4.6	NUM
iajs-2862	74	6	show	show	VERB
iajs-2862	74	7	the	the	DET
iajs-2862	74	8	3d	3d	NUM
iajs-2862	74	9	exact	exact	NOUN
iajs-2862	74	10	and	and	CCONJ
iajs-2862	74	11	obtained	obtain	VERB
iajs-2862	74	12	results	result	NOUN
iajs-2862	74	13	are	be	AUX
iajs-2862	74	14	plotted	plot	VERB
iajs-2862	74	15	at	at	ADP
iajs-2862	74	16	𝛼	𝛼	NOUN
iajs-2862	74	17	=	=	NOUN
iajs-2862	74	18	0.75	0.75	NUM
iajs-2862	74	19	,	,	PUNCT
iajs-2862	74	20	0.9	0.9	NUM
iajs-2862	74	21	and	and	CCONJ
iajs-2862	74	22	𝛼	𝛼	NOUN
iajs-2862	74	23	=	=	NOUN
iajs-2862	74	24	1	1	NUM
iajs-2862	74	25	.	.	PUNCT
iajs-2862	75	1	all	all	DET
iajs-2862	75	2	the	the	DET
iajs-2862	75	3	exact	exact	ADJ
iajs-2862	75	4	and	and	CCONJ
iajs-2862	75	5	approximate	approximate	ADJ
iajs-2862	75	6	results	result	NOUN
iajs-2862	75	7	on	on	ADP
iajs-2862	75	8	the	the	DET
iajs-2862	75	9	graphs	graph	NOUN
iajs-2862	75	10	have	have	AUX
iajs-2862	75	11	shown	show	VERB
iajs-2862	75	12	are	be	AUX
iajs-2862	75	13	much	much	ADV
iajs-2862	75	14	closed	closed	ADJ
iajs-2862	75	15	and	and	CCONJ
iajs-2862	75	16	explain	explain	VERB
iajs-2862	75	17	the	the	DET
iajs-2862	75	18	reliability	reliability	NOUN
iajs-2862	75	19	of	of	ADP
iajs-2862	75	20	the	the	DET
iajs-2862	75	21	present	present	ADJ
iajs-2862	75	22	technique	technique	NOUN
iajs-2862	75	23	.	.	PUNCT
iajs-2862	76	1	table	table	NOUN
iajs-2862	76	2	1	1	NUM
iajs-2862	76	3	:	:	PUNCT
iajs-2862	76	4	the	the	DET
iajs-2862	76	5	data	datum	NOUN
iajs-2862	76	6	for	for	ADP
iajs-2862	76	7	y	y	NOUN
iajs-2862	76	8	-	-	PUNCT
iajs-2862	76	9	scales	scale	NOUN
iajs-2862	76	10	at	at	ADP
iajs-2862	76	11	x=	x=	PROPN
iajs-2862	76	12	1	1	NUM
iajs-2862	76	13	and	and	CCONJ
iajs-2862	76	14	𝛼=0.9	𝛼=0.9	NOUN
iajs-2862	76	15	.	.	PUNCT
iajs-2862	77	1	t	t	PROPN
iajs-2862	77	2	y0	y0	PROPN
iajs-2862	77	3	yexact	yexact	NOUN
iajs-2862	77	4	y1	y1	NOUN
iajs-2862	77	5	abs0	abs0	NOUN
iajs-2862	77	6	abs1	abs1	NOUN
iajs-2862	77	7	0	0	NUM
iajs-2862	78	1	1	1	NUM
iajs-2862	78	2	1	1	NUM
iajs-2862	78	3	0	0	NUM
iajs-2862	78	4	0	0	NUM
iajs-2862	78	5	1	1	NUM
iajs-2862	78	6	0.1	0.1	NUM
iajs-2862	78	7	1	1	NUM
iajs-2862	78	8	1.1	1.1	NUM
iajs-2862	78	9	0.130897	0.130897	NUM
iajs-2862	78	10	0.1	0.1	NUM
iajs-2862	78	11	0.969103	0.969103	NUM
iajs-2862	78	12	0.2	0.2	NUM
iajs-2862	78	13	1	1	NUM
iajs-2862	78	14	1.2	1.2	NUM
iajs-2862	78	15	0.244263	0.244263	NUM
iajs-2862	78	16	0.2	0.2	NUM
iajs-2862	78	17	0.955737	0.955737	NUM
iajs-2862	78	18	0.3	0.3	NUM
iajs-2862	78	19	1	1	NUM
iajs-2862	78	20	1.3	1.3	NUM
iajs-2862	78	21	0.351836	0.351836	NUM
iajs-2862	78	22	0.3	0.3	NUM
iajs-2862	78	23	0.948164	0.948164	NUM
iajs-2862	78	24	0.4	0.4	NUM
iajs-2862	78	25	1	1	NUM
iajs-2862	78	26	1.4	1.4	NUM
iajs-2862	78	27	0.455811	0.455811	NUM
iajs-2862	78	28	0.4	0.4	NUM
iajs-2862	78	29	0.944189	0.944189	NUM
iajs-2862	78	30	0.5	0.5	NUM
iajs-2862	78	31	1	1	NUM
iajs-2862	78	32	1.5	1.5	NUM
iajs-2862	78	33	0.55719	0.55719	NUM
iajs-2862	78	34	0.5	0.5	NUM
iajs-2862	78	35	0.94281	0.94281	NUM
iajs-2862	78	36	0.6	0.6	NUM
iajs-2862	78	37	1	1	NUM
iajs-2862	78	38	1.6	1.6	NUM
iajs-2862	78	39	0.656548	0.656548	NUM
iajs-2862	78	40	0.6	0.6	NUM
iajs-2862	78	41	0.943452	0.943452	NUM
iajs-2862	78	42	0.7	0.7	NUM
iajs-2862	78	43	1	1	NUM
iajs-2862	78	44	1.7	1.7	NUM
iajs-2862	78	45	0.754256	0.754256	NUM
iajs-2862	78	46	0.7	0.7	NUM
iajs-2862	78	47	0.945744	0.945744	NUM
iajs-2862	78	48	0.8	0.8	NUM
iajs-2862	78	49	1	1	NUM
iajs-2862	78	50	1.8	1.8	NUM
iajs-2862	78	51	0.850573	0.850573	NUM
iajs-2862	78	52	0.8	0.8	NUM
iajs-2862	78	53	0.949427	0.949427	NUM
iajs-2862	78	54	0.9	0.9	NUM
iajs-2862	78	55	1	1	NUM
iajs-2862	78	56	1.9	1.9	NUM
iajs-2862	78	57	0.94569	0.94569	NUM
iajs-2862	78	58	0.9	0.9	NUM
iajs-2862	78	59	0.95431	0.95431	NUM
iajs-2862	78	60	1	1	NUM
iajs-2862	78	61	1	1	NUM
iajs-2862	78	62	2	2	NUM
iajs-2862	78	63	1.039754	1.039754	NUM
iajs-2862	78	64	1	1	NUM
iajs-2862	78	65	0.960246	0.960246	NUM
iajs-2862	78	66	ihjpas	ihjpa	NOUN
iajs-2862	78	67	.	.	PUNCT
iajs-2862	79	1	53	53	NUM
iajs-2862	79	2	(	(	PUNCT
iajs-2862	79	3	3)2022	3)2022	NOUN
iajs-2862	79	4	132	132	NUM
iajs-2862	79	5	table	table	NOUN
iajs-2862	79	6	2	2	NUM
iajs-2862	79	7	:	:	PUNCT
iajs-2862	79	8	the	the	DET
iajs-2862	79	9	data	datum	NOUN
iajs-2862	79	10	for	for	ADP
iajs-2862	79	11	y	y	NOUN
iajs-2862	79	12	-	-	PUNCT
iajs-2862	79	13	scales	scale	NOUN
iajs-2862	79	14	at	at	ADP
iajs-2862	79	15	x=	x=	PROPN
iajs-2862	79	16	1	1	NUM
iajs-2862	79	17	and	and	CCONJ
iajs-2862	79	18	𝛼=1	𝛼=1	PROPN
iajs-2862	79	19	.	.	PUNCT
iajs-2862	80	1	t	t	PROPN
iajs-2862	80	2	y0	y0	PROPN
iajs-2862	80	3	yexact	yexact	NOUN
iajs-2862	80	4	y1	y1	NOUN
iajs-2862	80	5	abs0	abs0	NOUN
iajs-2862	80	6	abs1	abs1	NOUN
iajs-2862	80	7	0	0	NUM
iajs-2862	80	8	1	1	NUM
iajs-2862	80	9	1	1	NUM
iajs-2862	80	10	0	0	NUM
iajs-2862	80	11	0	0	NUM
iajs-2862	80	12	1	1	NUM
iajs-2862	80	13	0.1	0.1	NUM
iajs-2862	80	14	1	1	NUM
iajs-2862	80	15	1.1	1.1	NUM
iajs-2862	80	16	0.1	0.1	NUM
iajs-2862	80	17	0.1	0.1	NUM
iajs-2862	80	18	1	1	NUM
iajs-2862	80	19	0.2	0.2	NUM
iajs-2862	80	20	1	1	NUM
iajs-2862	80	21	1.2	1.2	NUM
iajs-2862	80	22	0.2	0.2	NUM
iajs-2862	80	23	0.2	0.2	NUM
iajs-2862	80	24	1	1	NUM
iajs-2862	80	25	0.3	0.3	NUM
iajs-2862	80	26	1	1	NUM
iajs-2862	80	27	1.3	1.3	NUM
iajs-2862	80	28	0.3	0.3	NUM
iajs-2862	80	29	0.3	0.3	NUM
iajs-2862	80	30	1	1	NUM
iajs-2862	80	31	0.4	0.4	NUM
iajs-2862	80	32	1	1	NUM
iajs-2862	80	33	1.4	1.4	NUM
iajs-2862	80	34	0.4	0.4	NUM
iajs-2862	80	35	0.4	0.4	NUM
iajs-2862	80	36	1	1	NUM
iajs-2862	80	37	0.5	0.5	NUM
iajs-2862	80	38	1	1	NUM
iajs-2862	80	39	1.5	1.5	NUM
iajs-2862	80	40	0.5	0.5	NUM
iajs-2862	80	41	0.5	0.5	NUM
iajs-2862	80	42	1	1	NUM
iajs-2862	80	43	0.6	0.6	NUM
iajs-2862	80	44	1	1	NUM
iajs-2862	80	45	1.6	1.6	NUM
iajs-2862	80	46	0.6	0.6	NUM
iajs-2862	80	47	0.6	0.6	NUM
iajs-2862	80	48	1	1	NUM
iajs-2862	80	49	0.7	0.7	NUM
iajs-2862	80	50	1	1	NUM
iajs-2862	80	51	1.7	1.7	NUM
iajs-2862	80	52	0.7	0.7	NUM
iajs-2862	80	53	0.7	0.7	NUM
iajs-2862	80	54	1	1	NUM
iajs-2862	80	55	0.8	0.8	NUM
iajs-2862	80	56	1	1	NUM
iajs-2862	80	57	1.8	1.8	NUM
iajs-2862	80	58	0.8	0.8	NUM
iajs-2862	80	59	0.8	0.8	NUM
iajs-2862	80	60	1	1	NUM
iajs-2862	80	61	0.9	0.9	NUM
iajs-2862	80	62	1	1	NUM
iajs-2862	80	63	1.9	1.9	NUM
iajs-2862	80	64	0.9	0.9	NUM
iajs-2862	80	65	0.9	0.9	NUM
iajs-2862	80	66	1	1	NUM
iajs-2862	80	67	1	1	NUM
iajs-2862	80	68	1	1	NUM
iajs-2862	80	69	2	2	NUM
iajs-2862	80	70	1	1	NUM
iajs-2862	80	71	1	1	NUM
iajs-2862	80	72	1	1	NUM
iajs-2862	80	73	figure	figure	NOUN
iajs-2862	80	74	1	1	NUM
iajs-2862	80	75	.	.	PUNCT
iajs-2862	80	76	show	show	VERB
iajs-2862	80	77	absolute	absolute	ADJ
iajs-2862	80	78	error	error	NOUN
iajs-2862	80	79	of	of	ADP
iajs-2862	80	80	the	the	DET
iajs-2862	80	81	true	true	ADJ
iajs-2862	80	82	solution	solution	NOUN
iajs-2862	80	83	y0,y1	y0,y1	PROPN
iajs-2862	80	84	at	at	ADP
iajs-2862	80	85	𝛼=0.9	𝛼=0.9	NOUN
iajs-2862	80	86	.	.	PUNCT
iajs-2862	81	1	figure	figure	NOUN
iajs-2862	81	2	2	2	NUM
iajs-2862	81	3	.	.	PUNCT
iajs-2862	81	4	show	show	VERB
iajs-2862	81	5	absolute	absolute	ADJ
iajs-2862	81	6	error	error	NOUN
iajs-2862	81	7	of	of	ADP
iajs-2862	81	8	the	the	DET
iajs-2862	81	9	true	true	ADJ
iajs-2862	81	10	solution	solution	NOUN
iajs-2862	81	11	y0,y1	y0,y1	PROPN
iajs-2862	81	12	at	at	ADP
iajs-2862	81	13	𝛼=1	𝛼=1	PROPN
iajs-2862	81	14	.	.	PUNCT
iajs-2862	82	1	ihjpas	ihjpas	PROPN
iajs-2862	82	2	.	.	PUNCT
iajs-2862	83	1	53	53	NUM
iajs-2862	83	2	(	(	PUNCT
iajs-2862	83	3	3)2022	3)2022	NOUN
iajs-2862	83	4	133	133	NUM
iajs-2862	83	5	figure	figure	NOUN
iajs-2862	83	6	3	3	NUM
iajs-2862	83	7	.	.	PUNCT
iajs-2862	83	8	show	show	VERB
iajs-2862	83	9	absolute	absolute	ADJ
iajs-2862	83	10	error	error	NOUN
iajs-2862	83	11	of	of	ADP
iajs-2862	83	12	the	the	DET
iajs-2862	83	13	true	true	ADJ
iajs-2862	83	14	solution	solution	NOUN
iajs-2862	83	15	y0,y1	y0,y1	PROPN
iajs-2862	83	16	at	at	ADP
iajs-2862	83	17	𝛼=0.75	𝛼=0.75	PROPN
iajs-2862	83	18	.	.	PUNCT
iajs-2862	84	1	figure	figure	VERB
iajs-2862	84	2	4	4	NUM
iajs-2862	84	3	.	.	PUNCT
iajs-2862	85	1	figure	figure	VERB
iajs-2862	85	2	1.6	1.6	NUM
iajs-2862	85	3	:	:	PUNCT
iajs-2862	85	4	show	show	VERB
iajs-2862	85	5	the	the	DET
iajs-2862	85	6	3d	3d	NUM
iajs-2862	85	7	absolute	absolute	ADJ
iajs-2862	85	8	solution	solution	NOUN
iajs-2862	85	9	plots	plot	NOUN
iajs-2862	85	10	at	at	ADP
iajs-2862	85	11	𝛼=0.75	𝛼=0.75	PROPN
iajs-2862	85	12	,	,	PUNCT
iajs-2862	85	13	0.9	0.9	NUM
iajs-2862	85	14	and	and	CCONJ
iajs-2862	85	15	𝛼=1	𝛼=1	PROPN
iajs-2862	85	16	.	.	PUNCT
iajs-2862	86	1	ihjpas	ihjpas	PROPN
iajs-2862	86	2	.	.	PUNCT
iajs-2862	87	1	53	53	NUM
iajs-2862	87	2	(	(	PUNCT
iajs-2862	87	3	3)2022	3)2022	NOUN
iajs-2862	87	4	134	134	NUM
iajs-2862	87	5	5	5	NUM
iajs-2862	87	6	.	.	PUNCT
iajs-2862	87	7	conclusion	conclusion	NOUN
iajs-2862	87	8	fractional	fractional	ADJ
iajs-2862	87	9	order	order	NOUN
iajs-2862	87	10	non	non	ADJ
iajs-2862	87	11	-	-	ADJ
iajs-2862	87	12	linear	linear	ADJ
iajs-2862	87	13	differential	differential	ADJ
iajs-2862	87	14	equations	equation	NOUN
iajs-2862	87	15	with	with	ADP
iajs-2862	87	16	initial	initial	ADJ
iajs-2862	87	17	and	and	CCONJ
iajs-2862	87	18	boundary	boundary	ADJ
iajs-2862	87	19	conditions	condition	NOUN
iajs-2862	87	20	are	be	AUX
iajs-2862	87	21	investigated	investigate	VERB
iajs-2862	87	22	analytically	analytically	ADV
iajs-2862	87	23	using	use	VERB
iajs-2862	87	24	stadm	stadm	NOUN
iajs-2862	87	25	.	.	PUNCT
iajs-2862	88	1	fractional	fractional	ADJ
iajs-2862	88	2	derivatives	derivative	NOUN
iajs-2862	88	3	are	be	AUX
iajs-2862	88	4	defined	define	VERB
iajs-2862	88	5	in	in	ADP
iajs-2862	88	6	the	the	DET
iajs-2862	88	7	caputo	caputo	PROPN
iajs-2862	88	8	sense	sense	NOUN
iajs-2862	88	9	.	.	PUNCT
iajs-2862	89	1	the	the	DET
iajs-2862	89	2	solution	solution	NOUN
iajs-2862	89	3	graphs	graph	NOUN
iajs-2862	89	4	are	be	AUX
iajs-2862	89	5	shown	show	VERB
iajs-2862	89	6	to	to	PART
iajs-2862	89	7	demonstrate	demonstrate	VERB
iajs-2862	89	8	the	the	DET
iajs-2862	89	9	current	current	ADJ
iajs-2862	89	10	technique	technique	NOUN
iajs-2862	89	11	's	's	PART
iajs-2862	89	12	best	good	ADJ
iajs-2862	89	13	applicability	applicability	NOUN
iajs-2862	89	14	.	.	PUNCT
iajs-2862	90	1	the	the	DET
iajs-2862	90	2	graphs	graph	NOUN
iajs-2862	90	3	show	show	VERB
iajs-2862	90	4	that	that	SCONJ
iajs-2862	90	5	the	the	DET
iajs-2862	90	6	proposed	propose	VERB
iajs-2862	90	7	approach	approach	NOUN
iajs-2862	90	8	is	be	AUX
iajs-2862	90	9	a	a	DET
iajs-2862	90	10	powerful	powerful	ADJ
iajs-2862	90	11	tool	tool	NOUN
iajs-2862	90	12	for	for	ADP
iajs-2862	90	13	solving	solve	VERB
iajs-2862	90	14	integer	integer	NOUN
iajs-2862	90	15	and	and	CCONJ
iajs-2862	90	16	fractional	fractional	ADJ
iajs-2862	90	17	order	order	NOUN
iajs-2862	90	18	problems	problem	NOUN
iajs-2862	90	19	.	.	PUNCT
iajs-2862	91	1	some	some	DET
iajs-2862	91	2	examples	example	NOUN
iajs-2862	91	3	of	of	ADP
iajs-2862	91	4	the	the	DET
iajs-2862	91	5	analytical	analytical	ADJ
iajs-2862	91	6	solution	solution	NOUN
iajs-2862	91	7	are	be	AUX
iajs-2862	91	8	evaluated	evaluate	VERB
iajs-2862	91	9	to	to	PART
iajs-2862	91	10	confirm	confirm	VERB
iajs-2862	91	11	the	the	DET
iajs-2862	91	12	accuracy	accuracy	NOUN
iajs-2862	91	13	and	and	CCONJ
iajs-2862	91	14	efficiency	efficiency	NOUN
iajs-2862	91	15	of	of	ADP
iajs-2862	91	16	the	the	DET
iajs-2862	91	17	available	available	ADJ
iajs-2862	91	18	approach	approach	NOUN
iajs-2862	91	19	.	.	PUNCT
iajs-2862	92	1	references	reference	NOUN
iajs-2862	92	2	1	1	NUM
iajs-2862	92	3	.	.	PUNCT
iajs-2862	93	1	atangana	atangana	PROPN
iajs-2862	93	2	,	,	PUNCT
iajs-2862	93	3	a.	a.	PROPN
iajs-2862	93	4	;	;	PUNCT
iajs-2862	93	5	boleanu	boleanu	PROPN
iajs-2862	93	6	,	,	PUNCT
iajs-2862	93	7	d.	d.	PROPN
iajs-2862	93	8	nonlinear	nonlinear	PROPN
iajs-2862	93	9	fractional	fractional	ADJ
iajs-2862	93	10	jaulent	jaulent	NOUN
iajs-2862	93	11	-	-	PUNCT
iajs-2862	93	12	miodek	miodek	PROPN
iajs-2862	93	13	and	and	CCONJ
iajs-2862	93	14	whitham	whitham	NOUN
iajs-2862	93	15	-	-	PUNCT
iajs-2862	93	16	broer	broer	NOUN
iajs-2862	93	17	-	-	PUNCT
iajs-2862	93	18	kaup	kaup	PROPN
iajs-2862	93	19	equations	equation	NOUN
iajs-2862	93	20	within	within	ADP
iajs-2862	93	21	sumudu	sumudu	NOUN
iajs-2862	93	22	transform	transform	NOUN
iajs-2862	93	23	,	,	PUNCT
iajs-2862	93	24	abstr	abstr	PROPN
iajs-2862	93	25	.	.	PUNCT
iajs-2862	94	1	appl	appl	PROPN
iajs-2862	94	2	.	.	PUNCT
iajs-2862	95	1	anal	anal	PROPN
iajs-2862	95	2	.	.	PROPN
iajs-2862	95	3	,	,	PUNCT
iajs-2862	95	4	2013	2013	NUM
iajs-2862	95	5	.	.	PUNCT
iajs-2862	96	1	2	2	NUM
iajs-2862	96	2	.	.	X
iajs-2862	96	3	atangana	atangana	PROPN
iajs-2862	96	4	,	,	PUNCT
iajs-2862	96	5	a.	a.	PROPN
iajs-2862	96	6	;	;	PUNCT
iajs-2862	96	7	kilicman	kilicman	NOUN
iajs-2862	96	8	,	,	PUNCT
iajs-2862	96	9	a.	a.	NOUN
iajs-2862	96	10	the	the	DET
iajs-2862	96	11	use	use	NOUN
iajs-2862	96	12	of	of	ADP
iajs-2862	96	13	sumudu	sumudu	NOUN
iajs-2862	96	14	transform	transform	NOUN
iajs-2862	96	15	for	for	ADP
iajs-2862	96	16	solving	solve	VERB
iajs-2862	96	17	certain	certain	ADJ
iajs-2862	96	18	nonlinear	nonlinear	ADJ
iajs-2862	96	19	fractional	fractional	ADJ
iajs-2862	96	20	heat	heat	NOUN
iajs-2862	96	21	-	-	PUNCT
iajs-2862	96	22	like	like	ADJ
iajs-2862	96	23	equations	equation	NOUN
iajs-2862	96	24	,	,	PUNCT
iajs-2862	96	25	abstr	abstr	PROPN
iajs-2862	96	26	.	.	PUNCT
iajs-2862	97	1	appl	appl	PROPN
iajs-2862	97	2	.	.	PUNCT
iajs-2862	98	1	anal	anal	PROPN
iajs-2862	98	2	.	.	PROPN
iajs-2862	98	3	,	,	PUNCT
iajs-2862	98	4	2013	2013	NUM
iajs-2862	98	5	.	.	PUNCT
iajs-2862	99	1	3	3	X
iajs-2862	99	2	.	.	X
iajs-2862	99	3	cattani	cattani	PROPN
iajs-2862	99	4	,	,	PUNCT
iajs-2862	99	5	c.	c.	PROPN
iajs-2862	99	6	fractional	fractional	PROPN
iajs-2862	99	7	calculus	calculus	PROPN
iajs-2862	99	8	and	and	CCONJ
iajs-2862	99	9	shannon	shannon	PROPN
iajs-2862	99	10	wavelet	wavelet	PROPN
iajs-2862	99	11	,	,	PUNCT
iajs-2862	99	12	math	math	NOUN
iajs-2862	99	13	.	.	PUNCT
iajs-2862	100	1	probl	probl	PROPN
iajs-2862	100	2	.	.	PUNCT
iajs-2862	101	1	eng	eng	PROPN
iajs-2862	101	2	.	.	PROPN
iajs-2862	101	3	,	,	PUNCT
iajs-2862	101	4	2012	2012	NUM
iajs-2862	101	5	.	.	PUNCT
iajs-2862	102	1	4	4	X
iajs-2862	102	2	.	.	X
iajs-2862	102	3	ray	ray	PROPN
iajs-2862	102	4	,	,	PUNCT
iajs-2862	102	5	s.	s.	PROPN
iajs-2862	102	6	s.	s.	PROPN
iajs-2862	102	7	,	,	PUNCT
iajs-2862	102	8	&	&	CCONJ
iajs-2862	102	9	bera	bera	PROPN
iajs-2862	102	10	,	,	PUNCT
iajs-2862	102	11	r.	r.	PROPN
iajs-2862	102	12	k.	k.	PROPN
iajs-2862	103	1	an	an	DET
iajs-2862	103	2	approximate	approximate	ADJ
iajs-2862	103	3	solution	solution	NOUN
iajs-2862	103	4	of	of	ADP
iajs-2862	103	5	a	a	DET
iajs-2862	103	6	nonlinear	nonlinear	ADJ
iajs-2862	103	7	fractional	fractional	ADJ
iajs-2862	103	8	differential	differential	NOUN
iajs-2862	103	9	equation	equation	NOUN
iajs-2862	103	10	by	by	ADP
iajs-2862	103	11	adomian	adomian	NOUN
iajs-2862	103	12	decomposition	decomposition	NOUN
iajs-2862	103	13	method	method	NOUN
iajs-2862	103	14	.	.	PUNCT
iajs-2862	104	1	applied	apply	VERB
iajs-2862	104	2	mathematics	mathematic	NOUN
iajs-2862	104	3	and	and	CCONJ
iajs-2862	104	4	computation	computation	NOUN
iajs-2862	104	5	.	.	PUNCT
iajs-2862	105	1	2005	2005	NUM
iajs-2862	105	2	,	,	PUNCT
iajs-2862	105	3	167(1	167(1	NUM
iajs-2862	105	4	)	)	PUNCT
iajs-2862	105	5	,	,	PUNCT
iajs-2862	105	6	561	561	NUM
iajs-2862	105	7	-	-	SYM
iajs-2862	105	8	571	571	NUM
iajs-2862	105	9	.	.	PUNCT
iajs-2862	106	1	5	5	NUM
iajs-2862	106	2	.	.	PUNCT
iajs-2862	106	3	javeed	javeed	NOUN
iajs-2862	106	4	,	,	PUNCT
iajs-2862	106	5	s.	s.	PROPN
iajs-2862	106	6	;	;	PUNCT
iajs-2862	106	7	baleanu	baleanu	PROPN
iajs-2862	106	8	,	,	PUNCT
iajs-2862	106	9	d.	d.	PROPN
iajs-2862	106	10	;	;	PUNCT
iajs-2862	106	11	waheed	waheed	PROPN
iajs-2862	106	12	,	,	PUNCT
iajs-2862	106	13	a.	a.	PROPN
iajs-2862	106	14	;	;	PUNCT
iajs-2862	106	15	khan	khan	PROPN
iajs-2862	106	16	,	,	PUNCT
iajs-2862	106	17	m.s	m.s	PROPN
iajs-2862	106	18	.	.	PROPN
iajs-2862	106	19	;	;	PUNCT
iajs-2862	106	20	affan	affan	PROPN
iajs-2862	106	21	,	,	PUNCT
iajs-2862	106	22	h.	h.	NOUN
iajs-2862	106	23	analysis	analysis	NOUN
iajs-2862	106	24	of	of	ADP
iajs-2862	106	25	homotopy	homotopy	NOUN
iajs-2862	106	26	perturbation	perturbation	NOUN
iajs-2862	106	27	method	method	NOUN
iajs-2862	106	28	for	for	ADP
iajs-2862	106	29	solving	solve	VERB
iajs-2862	106	30	fractional	fractional	ADJ
iajs-2862	106	31	order	order	NOUN
iajs-2862	106	32	differential	differential	NOUN
iajs-2862	106	33	equations	equation	NOUN
iajs-2862	106	34	.	.	PUNCT
iajs-2862	107	1	mathematics	mathematic	NOUN
iajs-2862	107	2	.	.	PUNCT
iajs-2862	108	1	2019	2019	NUM
iajs-2862	108	2	,	,	PUNCT
iajs-2862	108	3	7	7	NUM
iajs-2862	108	4	,	,	PUNCT
iajs-2862	108	5	40	40	NUM
iajs-2862	108	6	6	6	NUM
iajs-2862	108	7	.	.	X
iajs-2862	108	8	ali	ali	PROPN
iajs-2862	108	9	,	,	PUNCT
iajs-2862	108	10	h.m	h.m	PROPN
iajs-2862	108	11	.	.	PROPN
iajs-2862	109	1	an	an	DET
iajs-2862	109	2	efficient	efficient	ADJ
iajs-2862	109	3	approximate	approximate	ADJ
iajs-2862	109	4	-	-	PUNCT
iajs-2862	109	5	analytical	analytical	ADJ
iajs-2862	109	6	method	method	NOUN
iajs-2862	109	7	to	to	PART
iajs-2862	109	8	solve	solve	VERB
iajs-2862	109	9	time	time	NOUN
iajs-2862	109	10	-	-	PUNCT
iajs-2862	109	11	fractional	fractional	ADJ
iajs-2862	109	12	kdv	kdv	NOUN
iajs-2862	109	13	and	and	CCONJ
iajs-2862	109	14	kdvb	kdvb	ADJ
iajs-2862	109	15	equations	equation	NOUN
iajs-2862	109	16	.	.	PUNCT
iajs-2862	110	1	inf	inf	PROPN
iajs-2862	110	2	.	.	PUNCT
iajs-2862	111	1	sci	sci	PROPN
iajs-2862	111	2	.	.	PUNCT
iajs-2862	111	3	lett	lett	PROPN
iajs-2862	111	4	.	.	PUNCT
iajs-2862	112	1	2020	2020	NUM
iajs-2862	112	2	,	,	PUNCT
iajs-2862	112	3	9	9	NUM
iajs-2862	112	4	,	,	PUNCT
iajs-2862	112	5	189–198	189–198	NUM
iajs-2862	112	6	.	.	PUNCT
iajs-2862	113	1	7	7	X
iajs-2862	113	2	.	.	X
iajs-2862	113	3	mahmood	mahmood	PROPN
iajs-2862	113	4	,	,	PUNCT
iajs-2862	113	5	s.	s.	PROPN
iajs-2862	113	6	;	;	PUNCT
iajs-2862	113	7	shah	shah	PROPN
iajs-2862	113	8	,	,	PUNCT
iajs-2862	113	9	r.	r.	PROPN
iajs-2862	113	10	;	;	PUNCT
iajs-2862	113	11	arif	arif	PROPN
iajs-2862	113	12	,	,	PUNCT
iajs-2862	113	13	m.	m.	NOUN
iajs-2862	113	14	laplace	laplace	PROPN
iajs-2862	113	15	adomian	adomian	NOUN
iajs-2862	113	16	decomposition	decomposition	NOUN
iajs-2862	113	17	method	method	NOUN
iajs-2862	113	18	for	for	ADP
iajs-2862	113	19	multidimensional	multidimensional	ADJ
iajs-2862	113	20	time	time	NOUN
iajs-2862	113	21	fractional	fractional	ADJ
iajs-2862	113	22	model	model	NOUN
iajs-2862	113	23	of	of	ADP
iajs-2862	113	24	navier	navier	NOUN
iajs-2862	113	25	–	–	PUNCT
iajs-2862	113	26	stokes	stoke	NOUN
iajs-2862	113	27	equation	equation	NOUN
iajs-2862	113	28	.	.	PUNCT
iajs-2862	114	1	symmetry	symmetry	PROPN
iajs-2862	114	2	.	.	PUNCT
iajs-2862	115	1	2019	2019	NUM
iajs-2862	115	2	,	,	PUNCT
iajs-2862	115	3	11	11	NUM
iajs-2862	115	4	,	,	PUNCT
iajs-2862	115	5	149	149	NUM
iajs-2862	115	6	.	.	NOUN
iajs-2862	115	7	8	8	NUM
iajs-2862	115	8	.	.	PUNCT
iajs-2862	115	9	mahdy	mahdy	NOUN
iajs-2862	115	10	,	,	PUNCT
iajs-2862	115	11	a.m.s	a.m.s	PROPN
iajs-2862	115	12	.	.	PUNCT
iajs-2862	115	13	;	;	PUNCT
iajs-2862	116	1	sweilam	sweilam	PROPN
iajs-2862	116	2	,	,	PUNCT
iajs-2862	116	3	n.h	n.h	PROPN
iajs-2862	116	4	.	.	PROPN
iajs-2862	116	5	;	;	PUNCT
iajs-2862	116	6	higazy	higazy	NOUN
iajs-2862	116	7	,	,	PUNCT
iajs-2862	116	8	m.	m.	NOUN
iajs-2862	116	9	approximate	approximate	ADJ
iajs-2862	116	10	solution	solution	NOUN
iajs-2862	116	11	for	for	ADP
iajs-2862	116	12	solving	solve	VERB
iajs-2862	116	13	nonlinear	nonlinear	ADJ
iajs-2862	116	14	fractional	fractional	ADJ
iajs-2862	116	15	order	order	NOUN
iajs-2862	116	16	smoking	smoking	NOUN
iajs-2862	116	17	model	model	NOUN
iajs-2862	116	18	.	.	PUNCT
iajs-2862	117	1	alex	alex	PROPN
iajs-2862	117	2	.	.	PUNCT
iajs-2862	118	1	eng	eng	PROPN
iajs-2862	118	2	.	.	PUNCT
iajs-2862	119	1	j.	j.	PROPN
iajs-2862	119	2	2020	2020	PROPN
iajs-2862	119	3	,	,	PUNCT
iajs-2862	119	4	59	59	NUM
iajs-2862	119	5	,	,	PUNCT
iajs-2862	119	6	739–752	739–752	NUM
iajs-2862	119	7	.	.	NOUN
iajs-2862	120	1	9	9	NUM
iajs-2862	120	2	.	.	X
iajs-2862	120	3	omran	omran	PROPN
iajs-2862	120	4	h.h	h.h	PROPN
iajs-2862	120	5	.	.	PROPN
iajs-2862	120	6	,	,	PUNCT
iajs-2862	120	7	solutins	solutin	NOUN
iajs-2862	120	8	of	of	ADP
iajs-2862	120	9	systems	system	NOUN
iajs-2862	120	10	for	for	ADP
iajs-2862	120	11	the	the	DET
iajs-2862	120	12	linear	linear	PROPN
iajs-2862	120	13	fredholm	fredholm	NOUN
iajs-2862	120	14	-	-	PUNCT
iajs-2862	120	15	volterra	volterra	NOUN
iajs-2862	120	16	integral	integral	ADJ
iajs-2862	120	17	equations	equation	NOUN
iajs-2862	120	18	of	of	ADP
iajs-2862	120	19	the	the	DET
iajs-2862	120	20	second	second	ADJ
iajs-2862	120	21	kind	kind	NOUN
iajs-2862	120	22	,	,	PUNCT
iajs-2862	120	23	ibn	ibn	PROPN
iajs-2862	120	24	al	al	PROPN
iajs-2862	120	25	-	-	PUNCT
iajs-2862	120	26	haitham	haitham	PROPN
iajs-2862	120	27	journal	journal	PROPN
iajs-2862	120	28	for	for	ADP
iajs-2862	120	29	pure	pure	ADJ
iajs-2862	120	30	and	and	CCONJ
iajs-2862	120	31	applied	applied	ADJ
iajs-2862	120	32	sciences	science	NOUN
iajs-2862	120	33	,	,	PUNCT
iajs-2862	120	34	2017,23,2,200206	2017,23,2,200206	NUM
iajs-2862	120	35	.	.	PUNCT
iajs-2862	121	1	https://www.iasj.net/iasj/download/681d96fa27e13411	https://www.iasj.net/iasj/download/681d96fa27e13411	NUM
iajs-2862	121	2	https://www.iasj.net/iasj/download/681d96fa27e13411	https://www.iasj.net/iasj/download/681d96fa27e13411	NOUN