id	sid	tid	token	lemma	pos
iajs-3241	1	1	ihjpas	ihjpas	PROPN
iajs-3241	1	2	.	.	PUNCT
iajs-3241	2	1	36	36	NUM
iajs-3241	2	2	(	(	PUNCT
iajs-3241	2	3	3	3	NUM
iajs-3241	2	4	)	)	PUNCT
iajs-3241	2	5	2023	2023	NUM
iajs-3241	2	6	316	316	NUM
iajs-3241	2	7	this	this	DET
iajs-3241	2	8	work	work	NOUN
iajs-3241	2	9	is	be	AUX
iajs-3241	2	10	licensed	license	VERB
iajs-3241	2	11	under	under	ADP
iajs-3241	2	12	a	a	DET
iajs-3241	2	13	creative	creative	ADJ
iajs-3241	2	14	commons	common	NOUN
iajs-3241	2	15	attribution	attribution	NOUN
iajs-3241	2	16	4.0	4.0	NUM
iajs-3241	2	17	international	international	ADJ
iajs-3241	2	18	license	license	NOUN
iajs-3241	2	19	*	*	PUNCT
iajs-3241	2	20	corresponding	correspond	VERB
iajs-3241	2	21	author	author	NOUN
iajs-3241	2	22	:	:	PUNCT
iajs-3241	2	23	dr.huda_hm2029@yahoo.com	dr.huda_hm2029@yahoo.com	X
iajs-3241	2	24	abstract	abstract	VERB
iajs-3241	2	25	some	some	DET
iajs-3241	2	26	nonlinear	nonlinear	ADJ
iajs-3241	2	27	differential	differential	ADJ
iajs-3241	2	28	equations	equation	NOUN
iajs-3241	2	29	with	with	ADP
iajs-3241	2	30	fractional	fractional	ADJ
iajs-3241	2	31	order	order	NOUN
iajs-3241	2	32	are	be	AUX
iajs-3241	2	33	evaluated	evaluate	VERB
iajs-3241	2	34	using	use	VERB
iajs-3241	2	35	a	a	DET
iajs-3241	2	36	novel	novel	ADJ
iajs-3241	2	37	approach	approach	NOUN
iajs-3241	2	38	sumudu	sumudu	NOUN
iajs-3241	2	39	and	and	CCONJ
iajs-3241	2	40	adomian	adomian	NOUN
iajs-3241	2	41	decomposition	decomposition	NOUN
iajs-3241	2	42	technique	technique	NOUN
iajs-3241	2	43	(	(	PUNCT
iajs-3241	2	44	stadm	stadm	NOUN
iajs-3241	2	45	)	)	PUNCT
iajs-3241	2	46	.	.	PUNCT
iajs-3241	3	1	to	to	PART
iajs-3241	3	2	get	get	VERB
iajs-3241	3	3	the	the	DET
iajs-3241	3	4	results	result	NOUN
iajs-3241	3	5	of	of	ADP
iajs-3241	3	6	the	the	DET
iajs-3241	3	7	given	give	VERB
iajs-3241	3	8	model	model	NOUN
iajs-3241	3	9	,	,	PUNCT
iajs-3241	3	10	the	the	DET
iajs-3241	3	11	sumudu	sumudu	NOUN
iajs-3241	3	12	transformation	transformation	NOUN
iajs-3241	3	13	and	and	CCONJ
iajs-3241	3	14	iterative	iterative	NOUN
iajs-3241	3	15	technique	technique	NOUN
iajs-3241	3	16	are	be	AUX
iajs-3241	3	17	employed	employ	VERB
iajs-3241	3	18	.	.	PUNCT
iajs-3241	4	1	the	the	DET
iajs-3241	4	2	suggested	suggest	VERB
iajs-3241	4	3	method	method	NOUN
iajs-3241	4	4	has	have	VERB
iajs-3241	4	5	an	an	DET
iajs-3241	4	6	advantage	advantage	NOUN
iajs-3241	4	7	over	over	ADP
iajs-3241	4	8	alternative	alternative	ADJ
iajs-3241	4	9	strategies	strategy	NOUN
iajs-3241	4	10	in	in	SCONJ
iajs-3241	4	11	that	that	SCONJ
iajs-3241	4	12	it	it	PRON
iajs-3241	4	13	does	do	AUX
iajs-3241	4	14	not	not	PART
iajs-3241	4	15	require	require	VERB
iajs-3241	4	16	for	for	ADP
iajs-3241	4	17	additional	additional	ADJ
iajs-3241	4	18	resources	resource	NOUN
iajs-3241	4	19	or	or	CCONJ
iajs-3241	4	20	calculations	calculation	NOUN
iajs-3241	4	21	.	.	PUNCT
iajs-3241	5	1	this	this	DET
iajs-3241	5	2	approach	approach	NOUN
iajs-3241	5	3	works	work	VERB
iajs-3241	5	4	well	well	ADV
iajs-3241	5	5	,	,	PUNCT
iajs-3241	5	6	easy	easy	ADJ
iajs-3241	5	7	to	to	PART
iajs-3241	5	8	use	use	VERB
iajs-3241	5	9	,	,	PUNCT
iajs-3241	5	10	and	and	CCONJ
iajs-3241	5	11	yield	yield	VERB
iajs-3241	5	12	good	good	ADJ
iajs-3241	5	13	results	result	NOUN
iajs-3241	5	14	.	.	PUNCT
iajs-3241	6	1	besides	besides	SCONJ
iajs-3241	6	2	,	,	PUNCT
iajs-3241	6	3	the	the	DET
iajs-3241	6	4	solution	solution	NOUN
iajs-3241	6	5	graphs	graph	NOUN
iajs-3241	6	6	are	be	AUX
iajs-3241	6	7	plotted	plot	VERB
iajs-3241	6	8	using	use	VERB
iajs-3241	6	9	matlab	matlab	PROPN
iajs-3241	6	10	software	software	NOUN
iajs-3241	6	11	.	.	PUNCT
iajs-3241	7	1	also	also	ADV
iajs-3241	7	2	,	,	PUNCT
iajs-3241	7	3	the	the	DET
iajs-3241	7	4	true	true	ADJ
iajs-3241	7	5	solution	solution	NOUN
iajs-3241	7	6	of	of	ADP
iajs-3241	7	7	the	the	DET
iajs-3241	7	8	fractional	fractional	ADJ
iajs-3241	7	9	newell	newell	PROPN
iajs-3241	7	10	-	-	PUNCT
iajs-3241	7	11	whitehead	whitehead	PROPN
iajs-3241	7	12	equation	equation	NOUN
iajs-3241	7	13	is	be	AUX
iajs-3241	7	14	shown	show	VERB
iajs-3241	7	15	together	together	ADV
iajs-3241	7	16	with	with	ADP
iajs-3241	7	17	the	the	DET
iajs-3241	7	18	approximate	approximate	ADJ
iajs-3241	7	19	solutions	solution	NOUN
iajs-3241	7	20	of	of	ADP
iajs-3241	7	21	stadm	stadm	NOUN
iajs-3241	7	22	.	.	PUNCT
iajs-3241	8	1	the	the	DET
iajs-3241	8	2	results	result	NOUN
iajs-3241	8	3	showed	show	VERB
iajs-3241	8	4	our	our	PRON
iajs-3241	8	5	approach	approach	NOUN
iajs-3241	8	6	is	be	AUX
iajs-3241	8	7	a	a	DET
iajs-3241	8	8	great	great	ADJ
iajs-3241	8	9	way	way	NOUN
iajs-3241	8	10	,	,	PUNCT
iajs-3241	8	11	fantastic	fantastic	ADJ
iajs-3241	8	12	,	,	PUNCT
iajs-3241	8	13	reliable	reliable	ADJ
iajs-3241	8	14	and	and	CCONJ
iajs-3241	8	15	easy	easy	ADJ
iajs-3241	8	16	method	method	NOUN
iajs-3241	8	17	to	to	PART
iajs-3241	8	18	deal	deal	VERB
iajs-3241	8	19	with	with	ADP
iajs-3241	8	20	specific	specific	ADJ
iajs-3241	8	21	problems	problem	NOUN
iajs-3241	8	22	in	in	ADP
iajs-3241	8	23	a	a	DET
iajs-3241	8	24	variety	variety	NOUN
iajs-3241	8	25	of	of	ADP
iajs-3241	8	26	applied	apply	VERB
iajs-3241	8	27	sciences	science	NOUN
iajs-3241	8	28	and	and	CCONJ
iajs-3241	8	29	engineering	engineering	NOUN
iajs-3241	8	30	fields	field	NOUN
iajs-3241	8	31	.	.	PUNCT
iajs-3241	9	1	keywords	keyword	NOUN
iajs-3241	9	2	:	:	PUNCT
iajs-3241	9	3	sumudu	sumudu	NOUN
iajs-3241	9	4	transformation	transformation	NOUN
iajs-3241	9	5	,	,	PUNCT
iajs-3241	9	6	caputo	caputo	PROPN
iajs-3241	9	7	derivative	derivative	PROPN
iajs-3241	9	8	,	,	PUNCT
iajs-3241	9	9	fractional	fractional	ADJ
iajs-3241	9	10	calculus	calculus	NOUN
iajs-3241	9	11	,	,	PUNCT
iajs-3241	9	12	approximate	approximate	ADJ
iajs-3241	9	13	solutions	solution	NOUN
iajs-3241	9	14	,	,	PUNCT
iajs-3241	9	15	decomposition	decomposition	NOUN
iajs-3241	9	16	method	method	NOUN
iajs-3241	9	17	.	.	PUNCT
iajs-3241	10	1	1	1	X
iajs-3241	10	2	.	.	X
iajs-3241	10	3	introduction	introduction	NOUN
iajs-3241	10	4	partial	partial	ADJ
iajs-3241	10	5	differential	differential	NOUN
iajs-3241	10	6	equations	equation	NOUN
iajs-3241	10	7	with	with	ADP
iajs-3241	10	8	fractional	fractional	ADJ
iajs-3241	10	9	order	order	NOUN
iajs-3241	10	10	(	(	PUNCT
iajs-3241	10	11	fpdes	fpde	NOUN
iajs-3241	10	12	)	)	PUNCT
iajs-3241	10	13	are	be	AUX
iajs-3241	10	14	a	a	DET
iajs-3241	10	15	modification	modification	NOUN
iajs-3241	10	16	of	of	ADP
iajs-3241	10	17	integer	integer	NOUN
iajs-3241	10	18	order	order	NOUN
iajs-3241	10	19	differential	differential	ADJ
iajs-3241	10	20	equations	equation	NOUN
iajs-3241	10	21	.	.	PUNCT
iajs-3241	11	1	the	the	DET
iajs-3241	11	2	study	study	NOUN
iajs-3241	11	3	of	of	ADP
iajs-3241	11	4	fpdes	fpde	NOUN
iajs-3241	11	5	has	have	AUX
iajs-3241	11	6	attracted	attract	VERB
iajs-3241	11	7	more	more	ADJ
iajs-3241	11	8	attention	attention	NOUN
iajs-3241	11	9	recently	recently	ADV
iajs-3241	11	10	.	.	PUNCT
iajs-3241	12	1	the	the	DET
iajs-3241	12	2	fractional	fractional	ADJ
iajs-3241	12	3	approach	approach	NOUN
iajs-3241	12	4	has	have	AUX
iajs-3241	12	5	developed	develop	VERB
iajs-3241	12	6	into	into	ADP
iajs-3241	12	7	a	a	DET
iajs-3241	12	8	powerful	powerful	ADJ
iajs-3241	12	9	modeling	modeling	NOUN
iajs-3241	12	10	technique	technique	NOUN
iajs-3241	12	11	that	that	PRON
iajs-3241	12	12	is	be	AUX
iajs-3241	12	13	frequently	frequently	ADV
iajs-3241	12	14	used	use	VERB
iajs-3241	12	15	in	in	ADP
iajs-3241	12	16	the	the	DET
iajs-3241	12	17	fields	field	NOUN
iajs-3241	12	18	of	of	ADP
iajs-3241	12	19	chaotic	chaotic	ADJ
iajs-3241	12	20	dynamics	dynamic	NOUN
iajs-3241	12	21	,	,	PUNCT
iajs-3241	12	22	wave	wave	NOUN
iajs-3241	12	23	propagation	propagation	NOUN
iajs-3241	12	24	,	,	PUNCT
iajs-3241	12	25	turbulence	turbulence	NOUN
iajs-3241	12	26	,	,	PUNCT
iajs-3241	12	27	turbulent	turbulent	ADJ
iajs-3241	12	28	flow	flow	NOUN
iajs-3241	12	29	,	,	PUNCT
iajs-3241	12	30	diffusion	diffusion	NOUN
iajs-3241	12	31	processes	process	NOUN
iajs-3241	12	32	,	,	PUNCT
iajs-3241	12	33	[	[	X
iajs-3241	12	34	1]-[4	1]-[4	NOUN
iajs-3241	12	35	]	]	PUNCT
iajs-3241	12	36	.	.	PUNCT
iajs-3241	13	1	because	because	SCONJ
iajs-3241	13	2	some	some	DET
iajs-3241	13	3	fractional	fractional	ADJ
iajs-3241	13	4	order	order	NOUN
iajs-3241	13	5	models	model	NOUN
iajs-3241	13	6	can	can	AUX
iajs-3241	13	7	not	not	PART
iajs-3241	13	8	be	be	AUX
iajs-3241	13	9	tested	test	VERB
iajs-3241	13	10	analytically	analytically	ADV
iajs-3241	13	11	and	and	CCONJ
iajs-3241	13	12	the	the	DET
iajs-3241	13	13	results	result	NOUN
iajs-3241	13	14	for	for	ADP
iajs-3241	13	15	fpdes	fpde	NOUN
iajs-3241	13	16	should	should	AUX
iajs-3241	13	17	be	be	AUX
iajs-3241	13	18	have	have	VERB
iajs-3241	13	19	.	.	PUNCT
iajs-3241	14	1	many	many	ADJ
iajs-3241	14	2	researchers	researcher	NOUN
iajs-3241	14	3	have	have	AUX
iajs-3241	14	4	focused	focus	VERB
iajs-3241	14	5	on	on	ADP
iajs-3241	14	6	developing	develop	VERB
iajs-3241	14	7	effective	effective	ADJ
iajs-3241	14	8	and	and	CCONJ
iajs-3241	14	9	reliable	reliable	ADJ
iajs-3241	14	10	techniques	technique	NOUN
iajs-3241	14	11	for	for	ADP
iajs-3241	14	12	fpdes	fpde	NOUN
iajs-3241	14	13	which	which	PRON
iajs-3241	14	14	include	include	VERB
iajs-3241	14	15	laplace	laplace	NOUN
iajs-3241	14	16	transform	transform	NOUN
iajs-3241	14	17	[	[	X
iajs-3241	14	18	7	7	NUM
iajs-3241	14	19	]	]	PUNCT
iajs-3241	14	20	,	,	PUNCT
iajs-3241	14	21	laplace	laplace	NOUN
iajs-3241	14	22	variational	variational	ADJ
iajs-3241	14	23	method	method	NOUN
iajs-3241	14	24	(	(	PUNCT
iajs-3241	14	25	lvim	lvim	PROPN
iajs-3241	14	26	)	)	PUNCT
iajs-3241	15	1	[	[	X
iajs-3241	15	2	8	8	NUM
iajs-3241	15	3	]	]	PUNCT
iajs-3241	15	4	,	,	PUNCT
iajs-3241	15	5	perturbation	perturbation	NOUN
iajs-3241	15	6	method	method	NOUN
iajs-3241	15	7	[	[	X
iajs-3241	15	8	9	9	NUM
iajs-3241	15	9	]	]	PUNCT
iajs-3241	15	10	,	,	PUNCT
iajs-3241	15	11	and	and	CCONJ
iajs-3241	15	12	differential	differential	ADJ
iajs-3241	15	13	transform	transform	NOUN
iajs-3241	15	14	method	method	NOUN
iajs-3241	15	15	[	[	X
iajs-3241	15	16	5	5	NUM
iajs-3241	15	17	]	]	PUNCT
iajs-3241	15	18	,	,	PUNCT
iajs-3241	15	19	variational	variational	ADJ
iajs-3241	15	20	iteration	iteration	NOUN
iajs-3241	15	21	method	method	NOUN
iajs-3241	15	22	[	[	X
iajs-3241	15	23	6	6	NUM
iajs-3241	15	24	]	]	PUNCT
iajs-3241	15	25	,	,	PUNCT
iajs-3241	15	26	and	and	CCONJ
iajs-3241	15	27	many	many	ADJ
iajs-3241	15	28	others	other	NOUN
iajs-3241	15	29	.	.	PUNCT
iajs-3241	16	1	several	several	ADJ
iajs-3241	16	2	analytical	analytical	ADJ
iajs-3241	16	3	and	and	CCONJ
iajs-3241	16	4	approximation	approximation	NOUN
iajs-3241	16	5	methods	method	NOUN
iajs-3241	16	6	using	use	VERB
iajs-3241	16	7	svim	svim	NOUN
iajs-3241	16	8	solving	solving	NOUN
iajs-3241	16	9	nonlinear	nonlinear	ADJ
iajs-3241	16	10	problems	problem	NOUN
iajs-3241	16	11	of	of	ADP
iajs-3241	16	12	fractional	fractional	ADJ
iajs-3241	16	13	order	order	NOUN
iajs-3241	16	14	[	[	X
iajs-3241	16	15	9,10	9,10	NUM
iajs-3241	16	16	]	]	PUNCT
iajs-3241	16	17	,	,	PUNCT
iajs-3241	16	18	and	and	CCONJ
iajs-3241	16	19	others[11	others[11	NOUN
iajs-3241	16	20	-	-	SYM
iajs-3241	16	21	17	17	NUM
iajs-3241	16	22	]	]	PUNCT
iajs-3241	16	23	have	have	AUX
iajs-3241	16	24	been	be	AUX
iajs-3241	16	25	proposed	propose	VERB
iajs-3241	16	26	.	.	PUNCT
iajs-3241	17	1	in	in	ADP
iajs-3241	17	2	this	this	DET
iajs-3241	17	3	work	work	NOUN
iajs-3241	17	4	,	,	PUNCT
iajs-3241	17	5	we	we	PRON
iajs-3241	17	6	applied	apply	VERB
iajs-3241	17	7	a	a	DET
iajs-3241	17	8	new	new	ADJ
iajs-3241	17	9	mixture	mixture	NOUN
iajs-3241	17	10	which	which	PRON
iajs-3241	17	11	is	be	AUX
iajs-3241	17	12	a	a	DET
iajs-3241	17	13	graceful	graceful	ADJ
iajs-3241	17	14	coupling	coupling	NOUN
iajs-3241	17	15	of	of	ADP
iajs-3241	17	16	two	two	NUM
iajs-3241	17	17	strong	strong	ADJ
iajs-3241	17	18	approaches	approach	NOUN
iajs-3241	17	19	stadm	stadm	NOUN
iajs-3241	17	20	for	for	ADP
iajs-3241	17	21	solving	solve	VERB
iajs-3241	17	22	fractional	fractional	ADJ
iajs-3241	17	23	-	-	PUNCT
iajs-3241	17	24	order	order	NOUN
iajs-3241	17	25	nonlinear	nonlinear	ADJ
iajs-3241	17	26	pdes	pde	NOUN
iajs-3241	17	27	.	.	PUNCT
iajs-3241	18	1	doi.org/10.30526/36.3.3241	doi.org/10.30526/36.3.3241	VERB
iajs-3241	18	2	article	article	NOUN
iajs-3241	18	3	history	history	NOUN
iajs-3241	18	4	:	:	PUNCT
iajs-3241	18	5	received	receive	VERB
iajs-3241	18	6	26	26	NUM
iajs-3241	18	7	january	january	PROPN
iajs-3241	18	8	2023	2023	NUM
iajs-3241	18	9	,	,	PUNCT
iajs-3241	18	10	accepted	accept	VERB
iajs-3241	18	11	20	20	NUM
iajs-3241	18	12	february	february	NOUN
iajs-3241	18	13	2023	2023	NUM
iajs-3241	18	14	,	,	PUNCT
iajs-3241	18	15	published	publish	VERB
iajs-3241	18	16	in	in	ADP
iajs-3241	18	17	july	july	PROPN
iajs-3241	18	18	2023	2023	NUM
iajs-3241	18	19	.	.	PUNCT
iajs-3241	19	1	ibn	ibn	PROPN
iajs-3241	19	2	al	al	PROPN
iajs-3241	19	3	-	-	PUNCT
iajs-3241	19	4	haitham	haitham	PROPN
iajs-3241	19	5	journal	journal	PROPN
iajs-3241	19	6	for	for	ADP
iajs-3241	19	7	pure	pure	ADJ
iajs-3241	19	8	and	and	CCONJ
iajs-3241	19	9	applied	applied	ADJ
iajs-3241	19	10	sciences	sciences	PROPN
iajs-3241	19	11	journal	journal	PROPN
iajs-3241	19	12	homepage	homepage	NOUN
iajs-3241	19	13	:	:	PUNCT
iajs-3241	19	14	jih.uobaghdad.edu.iq	jih.uobaghdad.edu.iq	VERB
iajs-3241	19	15	analytical	analytical	ADJ
iajs-3241	19	16	solutions	solution	NOUN
iajs-3241	19	17	to	to	PART
iajs-3241	19	18	investigate	investigate	VERB
iajs-3241	19	19	fractional	fractional	ADJ
iajs-3241	19	20	newell	newell	PROPN
iajs-3241	19	21	-	-	PUNCT
iajs-3241	19	22	whitehead	whitehead	PROPN
iajs-3241	19	23	nonlinear	nonlinear	ADJ
iajs-3241	19	24	equation	equation	NOUN
iajs-3241	19	25	using	use	VERB
iajs-3241	19	26	sumudu	sumudu	NOUN
iajs-3241	19	27	transform	transform	NOUN
iajs-3241	19	28	decomposition	decomposition	NOUN
iajs-3241	19	29	method	method	NOUN
iajs-3241	19	30	jasem	jasem	PROPN
iajs-3241	19	31	hussein	hussein	PROPN
iajs-3241	19	32	qays	qays	PROPN
iajs-3241	19	33	education	education	NOUN
iajs-3241	19	34	of	of	ADP
iajs-3241	19	35	collegedepartment	collegedepartment	NOUN
iajs-3241	19	36	of	of	ADP
iajs-3241	19	37	mathematics	mathematic	NOUN
iajs-3241	19	38	,	,	PUNCT
iajs-3241	19	39	university	university	NOUN
iajs-3241	19	40	of	of	ADP
iajs-3241	19	41	,	,	PUNCT
iajs-3241	19	42	thamhai	thamhai	ADJ
iajs-3241	19	43	-	-	PUNCT
iajs-3241	19	44	al	al	PROPN
iajs-3241	19	45	ibn	ibn	PROPN
iajs-3241	19	46	science	science	NOUN
iajs-3241	19	47	pure	pure	ADJ
iajs-3241	19	48	for	for	ADP
iajs-3241	19	49	baghdad	baghdad	PROPN
iajs-3241	19	50	,	,	PUNCT
iajs-3241	19	51	baghdad	baghdad	PROPN
iajs-3241	19	52	,	,	PUNCT
iajs-3241	19	53	iraq	iraq	PROPN
iajs-3241	19	54	.	.	PUNCT
iajs-3241	20	1	qaisalsaadm@gmail.com	qaisalsaadm@gmail.com	X
iajs-3241	20	2	huda	huda	PROPN
iajs-3241	20	3	omran	omran	PROPN
iajs-3241	20	4	altaie	altaie	PROPN
iajs-3241	20	5	*	*	PUNCT
iajs-3241	20	6	education	education	NOUN
iajs-3241	20	7	of	of	ADP
iajs-3241	20	8	ecollegdepartment	ecollegdepartment	NOUN
iajs-3241	20	9	of	of	ADP
iajs-3241	20	10	mathematics	mathematic	NOUN
iajs-3241	20	11	,	,	PUNCT
iajs-3241	20	12	university	university	NOUN
iajs-3241	20	13	of	of	ADP
iajs-3241	20	14	,	,	PUNCT
iajs-3241	20	15	thamhai	thamhai	ADJ
iajs-3241	20	16	-	-	PUNCT
iajs-3241	20	17	al	al	PROPN
iajs-3241	20	18	ibn	ibn	PROPN
iajs-3241	20	19	science	science	NOUN
iajs-3241	20	20	pure	pure	ADJ
iajs-3241	20	21	for	for	ADP
iajs-3241	20	22	baghdad	baghdad	PROPN
iajs-3241	20	23	,	,	PUNCT
iajs-3241	20	24	baghdad	baghdad	PROPN
iajs-3241	20	25	,	,	PUNCT
iajs-3241	20	26	iraq	iraq	PROPN
iajs-3241	20	27	.	.	PUNCT
iajs-3241	21	1	dr.huda_hm2029@yahoo.com	dr.huda_hm2029@yahoo.com	X
iajs-3241	21	2	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
iajs-3241	21	3	mailto:dr.huda_hm2029@yahoo.com	mailto:dr.huda_hm2029@yahoo.com	PROPN
iajs-3241	21	4	http://en.uobaghdad.edu.iq/?page_id=15060	http://en.uobaghdad.edu.iq/?page_id=15060	PROPN
iajs-3241	21	5	http://en.uobaghdad.edu.iq/?page_id=15060	http://en.uobaghdad.edu.iq/?page_id=15060	PROPN
iajs-3241	21	6	mailto:qaisalsaadm@gmail.com	mailto:qaisalsaadm@gmail.com	PROPN
iajs-3241	21	7	mailto:qaisalsaadm@gmail.com	mailto:qaisalsaadm@gmail.com	PROPN
iajs-3241	21	8	http://en.uobaghdad.edu.iq/?page_id=15060	http://en.uobaghdad.edu.iq/?page_id=15060	NOUN
iajs-3241	21	9	http://en.uobaghdad.edu.iq/?page_id=15060	http://en.uobaghdad.edu.iq/?page_id=15060	PROPN
iajs-3241	21	10	mailto:dr.huda_hm2029@yahoo.com	mailto:dr.huda_hm2029@yahoo.com	PROPN
iajs-3241	21	11	mailto:dr.huda_hm2029@yahoo.com	mailto:dr.huda_hm2029@yahoo.com	PROPN
iajs-3241	21	12	ihjpas	ihjpas	PROPN
iajs-3241	21	13	.	.	PUNCT
iajs-3241	22	1	36	36	NUM
iajs-3241	22	2	(	(	PUNCT
iajs-3241	22	3	3	3	NUM
iajs-3241	22	4	)	)	PUNCT
iajs-3241	22	5	2023	2023	NUM
iajs-3241	22	6	317	317	NUM
iajs-3241	22	7	2	2	NUM
iajs-3241	22	8	.	.	PUNCT
iajs-3241	22	9	idea	idea	NOUN
iajs-3241	22	10	of	of	ADP
iajs-3241	22	11	sumudu	sumudu	NOUN
iajs-3241	22	12	transform	transform	NOUN
iajs-3241	22	13	and	and	CCONJ
iajs-3241	22	14	decomposition	decomposition	NOUN
iajs-3241	22	15	approach	approach	NOUN
iajs-3241	22	16	(	(	PUNCT
iajs-3241	22	17	stadm	stadm	NOUN
iajs-3241	22	18	):	):	PUNCT
iajs-3241	22	19	the	the	DET
iajs-3241	22	20	stadm	stadm	NOUN
iajs-3241	22	21	is	be	AUX
iajs-3241	22	22	discussed	discuss	VERB
iajs-3241	22	23	in	in	ADP
iajs-3241	22	24	this	this	DET
iajs-3241	22	25	section	section	NOUN
iajs-3241	22	26	as	as	SCONJ
iajs-3241	22	27	it	it	PRON
iajs-3241	22	28	relates	relate	VERB
iajs-3241	22	29	to	to	ADP
iajs-3241	22	30	solving	solve	VERB
iajs-3241	22	31	fpdes	fpde	NOUN
iajs-3241	22	32	.	.	PUNCT
iajs-3241	23	1	the	the	DET
iajs-3241	23	2	following	follow	VERB
iajs-3241	23	3	general	general	ADJ
iajs-3241	23	4	fpdes	fpde	NOUN
iajs-3241	23	5	as	as	ADP
iajs-3241	23	6	:	:	PUNCT
iajs-3241	23	7	𝐷𝑡	𝐷𝑡	PROPN
iajs-3241	23	8	𝑤y(x	𝑤y(x	NOUN
iajs-3241	23	9	,	,	PUNCT
iajs-3241	23	10	t	t	PROPN
iajs-3241	23	11	)	)	PUNCT
iajs-3241	23	12	+	+	CCONJ
iajs-3241	23	13	ly(x	ly(x	NOUN
iajs-3241	23	14	,	,	PUNCT
iajs-3241	23	15	t	t	PROPN
iajs-3241	23	16	)	)	PUNCT
iajs-3241	23	17	+	+	NUM
iajs-3241	23	18	ny(x	ny(x	NUM
iajs-3241	23	19	,	,	PUNCT
iajs-3241	23	20	t	t	NOUN
iajs-3241	23	21	)	)	PUNCT
iajs-3241	23	22	=	=	SYM
iajs-3241	23	23	q(x	q(x	PROPN
iajs-3241	23	24	,	,	PUNCT
iajs-3241	23	25	t	t	PROPN
iajs-3241	23	26	)	)	PUNCT
iajs-3241	23	27	,	,	PUNCT
iajs-3241	23	28	x	x	X
iajs-3241	23	29	≥	≥	NOUN
iajs-3241	23	30	0	0	NUM
iajs-3241	23	31	,	,	PUNCT
iajs-3241	23	32	t	t	X
iajs-3241	23	33	>	>	X
iajs-3241	23	34	0	0	PUNCT
iajs-3241	23	35	,	,	PUNCT
iajs-3241	23	36	n	n	CCONJ
iajs-3241	23	37	−	−	PROPN
iajs-3241	23	38	1	1	NUM
iajs-3241	23	39	<	<	X
iajs-3241	23	40	𝑤	𝑤	ADP
iajs-3241	23	41	≤	≤	NUM
iajs-3241	23	42	n	n	CCONJ
iajs-3241	23	43	…	…	PUNCT
iajs-3241	23	44	.(1	.(1	NUM
iajs-3241	23	45	)	)	PUNCT
iajs-3241	23	46	with	with	ADP
iajs-3241	23	47	the	the	DET
iajs-3241	23	48	initial	initial	ADJ
iajs-3241	23	49	conditions	condition	NOUN
iajs-3241	23	50	y(x	y(x	PROPN
iajs-3241	23	51	,	,	PUNCT
iajs-3241	23	52	0	0	NUM
iajs-3241	23	53	)	)	PUNCT
iajs-3241	23	54	=	=	SYM
iajs-3241	23	55	g(x	g(x	NOUN
iajs-3241	23	56	)	)	PUNCT
iajs-3241	23	57	or	or	CCONJ
iajs-3241	23	58	∂ry(x,0	∂ry(x,0	NUM
iajs-3241	23	59	)	)	PUNCT
iajs-3241	23	60	∂	∂	NUM
iajs-3241	23	61	tr	tr	NOUN
iajs-3241	23	62	=	=	PROPN
iajs-3241	23	63	g(r)(x	g(r)(x	PROPN
iajs-3241	23	64	,	,	PUNCT
iajs-3241	23	65	0	0	NUM
iajs-3241	23	66	)	)	PUNCT
iajs-3241	23	67	=	=	SYM
iajs-3241	23	68	gr(x	gr(x	X
iajs-3241	23	69	)	)	PUNCT
iajs-3241	23	70	,	,	PUNCT
iajs-3241	23	71	…	…	PUNCT
iajs-3241	23	72	……	……	X
iajs-3241	23	73	(	(	PUNCT
iajs-3241	23	74	2	2	NUM
iajs-3241	23	75	)	)	PUNCT
iajs-3241	23	76	r	r	NOUN
iajs-3241	23	77	=	=	SYM
iajs-3241	23	78	0,1	0,1	NUM
iajs-3241	23	79	,	,	PUNCT
iajs-3241	23	80	…	…	PUNCT
iajs-3241	23	81	…	…	PUNCT
iajs-3241	23	82	.	.	PUNCT
iajs-3241	23	83	.	.	PUNCT
iajs-3241	24	1	n	n	CCONJ
iajs-3241	24	2	−	−	PROPN
iajs-3241	24	3	1	1	NUM
iajs-3241	24	4	the	the	DET
iajs-3241	24	5	caputo	caputo	PROPN
iajs-3241	24	6	fractional	fractional	PROPN
iajs-3241	24	7	derivative𝐷𝑡	derivative𝐷𝑡	PROPN
iajs-3241	24	8	𝑤𝑦(𝑥	𝑤𝑦(𝑥	NOUN
iajs-3241	24	9	,	,	PUNCT
iajs-3241	24	10	𝑡	𝑡	NOUN
iajs-3241	24	11	)	)	PUNCT
iajs-3241	24	12	of	of	ADP
iajs-3241	24	13	𝑦(𝑥	𝑦(𝑥	PROPN
iajs-3241	24	14	,	,	PUNCT
iajs-3241	24	15	𝑡	𝑡	NOUN
iajs-3241	24	16	)	)	PUNCT
iajs-3241	24	17	denoted	denote	VERB
iajs-3241	24	18	below	below	ADV
iajs-3241	24	19	:	:	PUNCT
iajs-3241	24	20	𝜕𝑤	𝜕𝑤	VERB
iajs-3241	24	21	𝜕𝑡𝑤	𝜕𝑡𝑤	PUNCT
iajs-3241	24	22	𝑦(𝑥	𝑦(𝑥	NOUN
iajs-3241	24	23	,	,	PUNCT
iajs-3241	24	24	𝑡	𝑡	NOUN
iajs-3241	24	25	)	)	PUNCT
iajs-3241	24	26	=	=	SYM
iajs-3241	24	27	{	{	PUNCT
iajs-3241	24	28	1	1	NUM
iajs-3241	24	29	γ(n	γ(n	PROPN
iajs-3241	24	30	−	−	PROPN
iajs-3241	24	31	w	w	PROPN
iajs-3241	24	32	)	)	PUNCT
iajs-3241	24	33	∫	∫	PROPN
iajs-3241	25	1	(	(	PUNCT
iajs-3241	25	2	𝑡	𝑡	PROPN
iajs-3241	25	3	−	−	PROPN
iajs-3241	25	4	𝑠)𝑛−𝑤−1	𝑠)𝑛−𝑤−1	PROPN
iajs-3241	25	5	𝜕𝑛𝑦(𝑥	𝜕𝑛𝑦(𝑥	NUM
iajs-3241	25	6	,	,	PUNCT
iajs-3241	25	7	𝑠	𝑠	PROPN
iajs-3241	25	8	)	)	PUNCT
iajs-3241	25	9	𝜕𝑡𝑛	𝜕𝑡𝑛	PUNCT
iajs-3241	26	1	𝑛	𝑛	DET
iajs-3241	26	2	−	−	PROPN
iajs-3241	26	3	1	1	NUM
iajs-3241	26	4	<	<	X
iajs-3241	26	5	𝑤	𝑤	ADP
iajs-3241	26	6	<	<	X
iajs-3241	26	7	𝑛	𝑛	PRON
iajs-3241	26	8	𝑡	𝑡	PROPN
iajs-3241	26	9	0	0	NUM
iajs-3241	26	10	𝜕𝑛𝑦	𝜕𝑛𝑦	NUM
iajs-3241	26	11	(	(	PUNCT
iajs-3241	26	12	𝑥	𝑥	NOUN
iajs-3241	26	13	,	,	PUNCT
iajs-3241	26	14	𝑡	𝑡	PROPN
iajs-3241	26	15	)	)	PUNCT
iajs-3241	26	16	𝜕𝑡𝑛	𝜕𝑡𝑛	PUNCT
iajs-3241	26	17	𝑤	𝑤	X
iajs-3241	26	18	=	=	SYM
iajs-3241	26	19	𝑛	𝑛	PRON
iajs-3241	26	20	∈	∈	NOUN
iajs-3241	26	21	𝑁	𝑁	NOUN
iajs-3241	26	22	}	}	PUNCT
iajs-3241	26	23	taking	take	VERB
iajs-3241	26	24	sumudu	sumudu	NOUN
iajs-3241	26	25	transform	transform	NOUN
iajs-3241	26	26	of	of	ADP
iajs-3241	26	27	the	the	DET
iajs-3241	26	28	eq	eq	NOUN
iajs-3241	26	29	.	.	PUNCT
iajs-3241	26	30	(	(	PUNCT
iajs-3241	26	31	1	1	NUM
iajs-3241	26	32	)	)	PUNCT
iajs-3241	26	33	,	,	PUNCT
iajs-3241	26	34	we	we	PRON
iajs-3241	26	35	have	have	VERB
iajs-3241	26	36	:	:	PUNCT
iajs-3241	26	37	𝑆[𝐷𝑡	𝑆[𝐷𝑡	ADV
iajs-3241	26	38	𝑤𝑦(𝑥	𝑤𝑦(𝑥	NOUN
iajs-3241	26	39	,	,	PUNCT
iajs-3241	26	40	𝑡	𝑡	NOUN
iajs-3241	26	41	)	)	PUNCT
iajs-3241	26	42	]	]	PUNCT
iajs-3241	27	1	+	+	NUM
iajs-3241	27	2	𝑆[𝑅[𝑦(𝑥	𝑆[𝑅[𝑦(𝑥	NOUN
iajs-3241	27	3	,	,	PUNCT
iajs-3241	27	4	𝑡	𝑡	NOUN
iajs-3241	27	5	)	)	PUNCT
iajs-3241	27	6	]	]	PUNCT
iajs-3241	27	7	]	]	X
iajs-3241	28	1	+	+	CCONJ
iajs-3241	28	2	𝑆[𝑁[𝑦(𝑥	𝑆[𝑁[𝑦(𝑥	ADJ
iajs-3241	28	3	,	,	PUNCT
iajs-3241	28	4	𝑡	𝑡	NOUN
iajs-3241	28	5	)	)	PUNCT
iajs-3241	29	1	]	]	PUNCT
iajs-3241	29	2	]	]	X
iajs-3241	29	3	=	=	PUNCT
iajs-3241	29	4	𝑆[𝑞(𝑥	𝑆[𝑞(𝑥	PROPN
iajs-3241	29	5	,	,	PUNCT
iajs-3241	29	6	𝑡)]	𝑡)]	NOUN
iajs-3241	29	7	…	…	NUM
iajs-3241	29	8	…	…	PUNCT
iajs-3241	29	9	…	…	PUNCT
iajs-3241	29	10	.(3	.(3	SYM
iajs-3241	29	11	)	)	PUNCT
iajs-3241	29	12	the	the	DET
iajs-3241	29	13	property	property	NOUN
iajs-3241	29	14	of	of	ADP
iajs-3241	29	15	sumudu	sumudu	NOUN
iajs-3241	29	16	transform	transform	NOUN
iajs-3241	29	17	of	of	ADP
iajs-3241	29	18	function	function	NOUN
iajs-3241	29	19	derivatives	derivative	NOUN
iajs-3241	29	20	used	use	VERB
iajs-3241	29	21	,	,	PUNCT
iajs-3241	29	22	then	then	ADV
iajs-3241	29	23	𝑆[𝑦(𝑥	𝑆[𝑦(𝑥	PROPN
iajs-3241	29	24	,	,	PUNCT
iajs-3241	29	25	𝑡	𝑡	PROPN
iajs-3241	29	26	)	)	PUNCT
iajs-3241	29	27	]	]	PUNCT
iajs-3241	29	28	𝑢𝑤	𝑢𝑤	PROPN
iajs-3241	29	29	=	=	PUNCT
iajs-3241	29	30	∑	∑	PUNCT
iajs-3241	29	31	𝑦(𝑥	𝑦(𝑥	NOUN
iajs-3241	29	32	,	,	PUNCT
iajs-3241	29	33	0)𝑘	0)𝑘	VERB
iajs-3241	29	34	𝑢𝑤−𝑘	𝑢𝑤−𝑘	NOUN
iajs-3241	29	35	+	+	CCONJ
iajs-3241	29	36	𝑆[𝑞(𝑥	𝑆[𝑞(𝑥	ADJ
iajs-3241	29	37	,	,	PUNCT
iajs-3241	29	38	𝑡	𝑡	NOUN
iajs-3241	29	39	)	)	PUNCT
iajs-3241	29	40	]	]	PUNCT
iajs-3241	30	1	−	−	PROPN
iajs-3241	30	2	𝑛−1	𝑛−1	PROPN
iajs-3241	30	3	𝑘=0	𝑘=0	VERB
iajs-3241	30	4	𝑆[𝐿(𝑦(𝑥	𝑆[𝐿(𝑦(𝑥	NOUN
iajs-3241	30	5	,	,	PUNCT
iajs-3241	30	6	𝑡	𝑡	NOUN
iajs-3241	30	7	)	)	PUNCT
iajs-3241	30	8	)	)	PUNCT
iajs-3241	31	1	+	+	CCONJ
iajs-3241	31	2	𝑁(𝑦(𝑥	𝑁(𝑦(𝑥	ADJ
iajs-3241	31	3	,	,	PUNCT
iajs-3241	31	4	𝑡	𝑡	NOUN
iajs-3241	31	5	)	)	PUNCT
iajs-3241	31	6	)	)	PUNCT
iajs-3241	31	7	]	]	PUNCT
iajs-3241	32	1	𝑆[𝑦(𝑥	𝑆[𝑦(𝑥	PROPN
iajs-3241	32	2	,	,	PUNCT
iajs-3241	32	3	𝑡	𝑡	NOUN
iajs-3241	32	4	)	)	PUNCT
iajs-3241	32	5	]	]	PUNCT
iajs-3241	33	1	=	=	SYM
iajs-3241	33	2	𝑦(𝑥	𝑦(𝑥	NOUN
iajs-3241	33	3	,	,	PUNCT
iajs-3241	33	4	0	0	NUM
iajs-3241	33	5	)	)	PUNCT
iajs-3241	34	1	+	+	CCONJ
iajs-3241	34	2	𝑢𝑤𝑆[𝑞(𝑥	𝑢𝑤𝑆[𝑞(𝑥	ADJ
iajs-3241	34	3	,	,	PUNCT
iajs-3241	34	4	𝑡	𝑡	NOUN
iajs-3241	34	5	)	)	PUNCT
iajs-3241	34	6	]	]	PUNCT
iajs-3241	34	7	−	−	PROPN
iajs-3241	34	8	𝑢𝑤𝑆[𝐿(𝑦(𝑥	𝑢𝑤𝑆[𝐿(𝑦(𝑥	NOUN
iajs-3241	34	9	,	,	PUNCT
iajs-3241	34	10	𝑡	𝑡	NOUN
iajs-3241	34	11	)	)	PUNCT
iajs-3241	34	12	)	)	PUNCT
iajs-3241	35	1	+	+	CCONJ
iajs-3241	35	2	𝑁(𝑦(𝑥	𝑁(𝑦(𝑥	ADJ
iajs-3241	35	3	,	,	PUNCT
iajs-3241	35	4	𝑡	𝑡	NOUN
iajs-3241	35	5	)	)	PUNCT
iajs-3241	35	6	)	)	PUNCT
iajs-3241	35	7	]	]	PUNCT
iajs-3241	35	8	(	(	PUNCT
iajs-3241	35	9	4	4	X
iajs-3241	35	10	)	)	PUNCT
iajs-3241	35	11	application	application	NOUN
iajs-3241	35	12	of	of	ADP
iajs-3241	35	13	sumudu	sumudu	NOUN
iajs-3241	35	14	inverse	inverse	NOUN
iajs-3241	35	15	transform	transform	NOUN
iajs-3241	35	16	on	on	ADP
iajs-3241	35	17	eq	eq	ADP
iajs-3241	35	18	.	.	PUNCT
iajs-3241	36	1	(	(	PUNCT
iajs-3241	36	2	4	4	X
iajs-3241	36	3	)	)	PUNCT
iajs-3241	36	4	yielded	yield	VERB
iajs-3241	36	5	:	:	PUNCT
iajs-3241	36	6	𝑦(𝑥	𝑦(𝑥	NUM
iajs-3241	36	7	,	,	PUNCT
iajs-3241	36	8	𝑡	𝑡	NOUN
iajs-3241	36	9	)	)	PUNCT
iajs-3241	36	10	=	=	SYM
iajs-3241	36	11	𝑓(𝑥	𝑓(𝑥	NOUN
iajs-3241	36	12	)	)	PUNCT
iajs-3241	37	1	+	+	CCONJ
iajs-3241	37	2	𝑆−1(𝑢𝑤𝑆	𝑆−1(𝑢𝑤𝑆	NOUN
iajs-3241	37	3	[	[	X
iajs-3241	37	4	𝑞(𝑥	𝑞(𝑥	PROPN
iajs-3241	37	5	,	,	PUNCT
iajs-3241	37	6	𝑡	𝑡	PROPN
iajs-3241	37	7	)	)	PUNCT
iajs-3241	37	8	]	]	PUNCT
iajs-3241	37	9	)	)	PUNCT
iajs-3241	37	10	−	−	ADP
iajs-3241	37	11	𝑆−1(𝑢𝑤𝑆[𝐿(𝑦(𝑥	𝑆−1(𝑢𝑤𝑆[𝐿(𝑦(𝑥	ADJ
iajs-3241	37	12	,	,	PUNCT
iajs-3241	37	13	𝑡	𝑡	NOUN
iajs-3241	37	14	)	)	PUNCT
iajs-3241	37	15	+	+	CCONJ
iajs-3241	37	16	𝑁(𝑦(𝑥	𝑁(𝑦(𝑥	PROPN
iajs-3241	37	17	,	,	PUNCT
iajs-3241	37	18	𝑡	𝑡	NOUN
iajs-3241	37	19	)	)	PUNCT
iajs-3241	37	20	]	]	PUNCT
iajs-3241	37	21	)	)	PUNCT
iajs-3241	37	22	(	(	PUNCT
iajs-3241	37	23	5	5	X
iajs-3241	37	24	)	)	PUNCT
iajs-3241	37	25	the	the	DET
iajs-3241	37	26	representation	representation	NOUN
iajs-3241	37	27	of	of	ADP
iajs-3241	37	28	the	the	DET
iajs-3241	37	29	solution	solution	NOUN
iajs-3241	37	30	for	for	ADP
iajs-3241	37	31	eq	eq	PROPN
iajs-3241	37	32	.	.	PUNCT
iajs-3241	38	1	(	(	PUNCT
iajs-3241	38	2	5	5	NUM
iajs-3241	38	3	)	)	PUNCT
iajs-3241	38	4	as	as	ADP
iajs-3241	38	5	an	an	DET
iajs-3241	38	6	infinite	infinite	ADJ
iajs-3241	38	7	series	series	NOUN
iajs-3241	38	8	is	be	AUX
iajs-3241	38	9	given	give	VERB
iajs-3241	38	10	below	below	ADP
iajs-3241	38	11	:	:	PUNCT
iajs-3241	38	12	𝑦(𝑥	𝑦(𝑥	NUM
iajs-3241	38	13	,	,	PUNCT
iajs-3241	38	14	𝑡	𝑡	NOUN
iajs-3241	38	15	)	)	PUNCT
iajs-3241	38	16	=	=	SYM
iajs-3241	38	17	∑𝑦𝑖(𝑥	∑𝑦𝑖(𝑥	PROPN
iajs-3241	38	18	,	,	PUNCT
iajs-3241	38	19	𝑡	𝑡	PROPN
iajs-3241	38	20	)	)	PUNCT
iajs-3241	38	21	∞	∞	PROPN
iajs-3241	38	22	𝑖=0	𝑖=0	PROPN
iajs-3241	38	23	(	(	PUNCT
iajs-3241	38	24	6	6	NUM
iajs-3241	38	25	)	)	PUNCT
iajs-3241	38	26	and	and	CCONJ
iajs-3241	38	27	the	the	DET
iajs-3241	38	28	nonlinear	nonlinear	ADJ
iajs-3241	38	29	term	term	NOUN
iajs-3241	38	30	is	be	AUX
iajs-3241	38	31	being	be	AUX
iajs-3241	38	32	decomposed	decompose	VERB
iajs-3241	38	33	as	as	ADP
iajs-3241	38	34	:	:	PUNCT
iajs-3241	38	35	𝑁[𝑦(𝑥	𝑁[𝑦(𝑥	NOUN
iajs-3241	38	36	,	,	PUNCT
iajs-3241	38	37	𝑡	𝑡	NOUN
iajs-3241	38	38	)	)	PUNCT
iajs-3241	38	39	]	]	PUNCT
iajs-3241	39	1	=	=	SYM
iajs-3241	39	2	∑𝐴𝑖(𝑦0	∑𝐴𝑖(𝑦0	PROPN
iajs-3241	39	3	,	,	PUNCT
iajs-3241	39	4	𝑦1	𝑦1	NOUN
iajs-3241	39	5	,	,	PUNCT
iajs-3241	39	6	…	…	PUNCT
iajs-3241	39	7	.	.	PUNCT
iajs-3241	39	8	,	,	PUNCT
iajs-3241	39	9	𝑦𝑖	𝑦𝑖	PROPN
iajs-3241	39	10	)	)	PUNCT
iajs-3241	39	11	∞	∞	PROPN
iajs-3241	39	12	𝑖=0	𝑖=0	PROPN
iajs-3241	39	13	(	(	PUNCT
iajs-3241	39	14	7	7	NUM
iajs-3241	39	15	)	)	PUNCT
iajs-3241	39	16	where	where	SCONJ
iajs-3241	39	17	,	,	PUNCT
iajs-3241	39	18	𝐴𝑖	𝐴𝑖	PROPN
iajs-3241	39	19	are	be	AUX
iajs-3241	39	20	the	the	DET
iajs-3241	39	21	adomian	adomian	ADJ
iajs-3241	39	22	polynomials	polynomial	NOUN
iajs-3241	39	23	of	of	ADP
iajs-3241	39	24	functions	function	NOUN
iajs-3241	39	25	𝑦0	𝑦0	NOUN
iajs-3241	39	26	,	,	PUNCT
iajs-3241	39	27	𝑦1	𝑦1	NOUN
iajs-3241	39	28	,	,	PUNCT
iajs-3241	39	29	…	…	PUNCT
iajs-3241	39	30	.	.	PUNCT
iajs-3241	39	31	,	,	PUNCT
iajs-3241	39	32	𝑦𝑖	𝑦𝑖	PROPN
iajs-3241	39	33	can	can	AUX
iajs-3241	39	34	be	be	AUX
iajs-3241	39	35	calculated	calculate	VERB
iajs-3241	39	36	by	by	ADP
iajs-3241	39	37	formula	formula	NOUN
iajs-3241	39	38	given	give	VERB
iajs-3241	39	39	as	as	ADP
iajs-3241	39	40	:	:	PUNCT
iajs-3241	39	41	𝐴𝑖	𝐴𝑖	PROPN
iajs-3241	39	42	=	=	SYM
iajs-3241	39	43	1	1	NUM
iajs-3241	39	44	𝑖	𝑖	X
iajs-3241	39	45	!	!	PUNCT
iajs-3241	40	1	𝜕𝑖	𝜕𝑖	NOUN
iajs-3241	40	2	𝜕𝜆𝑖	𝜕𝜆𝑖	PUNCT
iajs-3241	41	1	[	[	X
iajs-3241	41	2	𝑁	𝑁	PROPN
iajs-3241	41	3	(	(	PUNCT
iajs-3241	41	4	∑𝜆𝑖𝑦𝑖	∑𝜆𝑖𝑦𝑖	PROPN
iajs-3241	41	5	∞	∞	PROPN
iajs-3241	41	6	𝑖=0	𝑖=0	PROPN
iajs-3241	41	7	)	)	PUNCT
iajs-3241	41	8	]	]	PUNCT
iajs-3241	41	9	𝜆=0	𝜆=0	PRON
iajs-3241	41	10	substituting	substitute	VERB
iajs-3241	41	11	eqs	eqs	PROPN
iajs-3241	41	12	.	.	PUNCT
iajs-3241	42	1	(	(	PUNCT
iajs-3241	42	2	6	6	NUM
iajs-3241	42	3	)	)	PUNCT
iajs-3241	42	4	and	and	CCONJ
iajs-3241	42	5	(	(	PUNCT
iajs-3241	42	6	7	7	X
iajs-3241	42	7	)	)	PUNCT
iajs-3241	42	8	in	in	ADP
iajs-3241	42	9	eq	eq	ADP
iajs-3241	42	10	.	.	PUNCT
iajs-3241	43	1	(	(	PUNCT
iajs-3241	43	2	5	5	NUM
iajs-3241	43	3	):	):	PUNCT
iajs-3241	43	4	ihjpas	ihjpa	NOUN
iajs-3241	43	5	.	.	PUNCT
iajs-3241	44	1	36	36	NUM
iajs-3241	44	2	(	(	PUNCT
iajs-3241	44	3	3	3	NUM
iajs-3241	44	4	)	)	PUNCT
iajs-3241	44	5	2023	2023	NUM
iajs-3241	44	6	318	318	NUM
iajs-3241	44	7	∑𝑦𝑖(𝑥	∑𝑦𝑖(𝑥	PROPN
iajs-3241	44	8	,	,	PUNCT
iajs-3241	44	9	𝑡	𝑡	PROPN
iajs-3241	44	10	)	)	PUNCT
iajs-3241	44	11	∞	∞	NUM
iajs-3241	44	12	𝑖=0	𝑖=0	PUNCT
iajs-3241	44	13	=	=	SYM
iajs-3241	44	14	∑	∑	PUNCT
iajs-3241	44	15	𝑦(𝑥	𝑦(𝑥	PROPN
iajs-3241	44	16	,	,	PUNCT
iajs-3241	44	17	0)(𝑘	0)(𝑘	NOUN
iajs-3241	44	18	)	)	PUNCT
iajs-3241	45	1	𝑢𝑤−𝑘	𝑢𝑤−𝑘	NUM
iajs-3241	45	2	∞	∞	NUM
iajs-3241	45	3	𝑘=0	𝑘=0	PROPN
iajs-3241	45	4	+	+	CCONJ
iajs-3241	45	5	𝑆−1(𝑢𝑤𝑆[𝑞(𝑥	𝑆−1(𝑢𝑤𝑆[𝑞(𝑥	PROPN
iajs-3241	45	6	,	,	PUNCT
iajs-3241	45	7	𝑡	𝑡	NOUN
iajs-3241	45	8	)	)	PUNCT
iajs-3241	45	9	]	]	PUNCT
iajs-3241	45	10	)	)	PUNCT
iajs-3241	46	1	−	−	NUM
iajs-3241	46	2	𝑆−1	𝑆−1	VERB
iajs-3241	47	1	[	[	X
iajs-3241	47	2	𝑢𝑤𝑆	𝑢𝑤𝑆	X
iajs-3241	47	3	[	[	X
iajs-3241	47	4	𝐿	𝐿	PROPN
iajs-3241	47	5	(	(	PUNCT
iajs-3241	47	6	∑𝑦𝑖(𝑥	∑𝑦𝑖(𝑥	PROPN
iajs-3241	47	7	,	,	PUNCT
iajs-3241	47	8	𝑡	𝑡	PROPN
iajs-3241	47	9	)	)	PUNCT
iajs-3241	47	10	∞	∞	PROPN
iajs-3241	47	11	𝑖=0	𝑖=0	PROPN
iajs-3241	47	12	)	)	PUNCT
iajs-3241	48	1	+	+	PUNCT
iajs-3241	48	2	∑𝐴𝑖	∑𝐴𝑖	PROPN
iajs-3241	48	3	∞	∞	NUM
iajs-3241	48	4	𝑖=0	𝑖=0	PROPN
iajs-3241	48	5	]	]	X
iajs-3241	48	6	]	]	X
iajs-3241	48	7	(	(	PUNCT
iajs-3241	48	8	8)	8)	NUM
iajs-3241	48	9	simplification	simplification	NOUN
iajs-3241	48	10	of	of	ADP
iajs-3241	48	11	eq	eq	PROPN
iajs-3241	48	12	.	.	PUNCT
iajs-3241	49	1	(	(	PUNCT
iajs-3241	49	2	7	7	NUM
iajs-3241	49	3	)	)	PUNCT
iajs-3241	49	4	as	as	ADV
iajs-3241	49	5	many	many	ADJ
iajs-3241	49	6	times	time	NOUN
iajs-3241	49	7	as	as	ADP
iajs-3241	49	8	possible	possible	ADJ
iajs-3241	49	9	resulted	result	VERB
iajs-3241	49	10	into	into	ADP
iajs-3241	49	11	series	series	NOUN
iajs-3241	49	12	solution	solution	NOUN
iajs-3241	49	13	,	,	PUNCT
iajs-3241	49	14	we	we	PRON
iajs-3241	49	15	get	get	VERB
iajs-3241	49	16	:	:	PUNCT
iajs-3241	49	17	𝑦0(𝑥	𝑦0(𝑥	NUM
iajs-3241	49	18	,	,	PUNCT
iajs-3241	49	19	𝑡	𝑡	X
iajs-3241	49	20	)	)	PUNCT
iajs-3241	49	21	=	=	SYM
iajs-3241	49	22	∑	∑	PUNCT
iajs-3241	49	23	𝑦(𝑥	𝑦(𝑥	PROPN
iajs-3241	49	24	,	,	PUNCT
iajs-3241	49	25	0)(𝑘	0)(𝑘	NOUN
iajs-3241	49	26	)	)	PUNCT
iajs-3241	50	1	𝑢𝑤−𝑘	𝑢𝑤−𝑘	NUM
iajs-3241	50	2	∞	∞	NUM
iajs-3241	50	3	𝑘=0	𝑘=0	PROPN
iajs-3241	50	4	+	+	CCONJ
iajs-3241	51	1	𝑆−1(𝑠𝑤𝑆[𝑔(𝑥	𝑆−1(𝑠𝑤𝑆[𝑔(𝑥	PROPN
iajs-3241	51	2	,	,	PUNCT
iajs-3241	51	3	𝑡	𝑡	PROPN
iajs-3241	51	4	)	)	PUNCT
iajs-3241	51	5	]	]	PUNCT
iajs-3241	51	6	)	)	PUNCT
iajs-3241	52	1	𝑦1(𝑥	𝑦1(𝑥	NUM
iajs-3241	52	2	,	,	PUNCT
iajs-3241	52	3	𝑡	𝑡	X
iajs-3241	52	4	)	)	PUNCT
iajs-3241	52	5	=	=	SYM
iajs-3241	52	6	−𝑆−1[𝑢𝑤𝑆[𝐿(𝑦0(𝑥	−𝑆−1[𝑢𝑤𝑆[𝐿(𝑦0(𝑥	NUM
iajs-3241	52	7	,	,	PUNCT
iajs-3241	52	8	𝑡	𝑡	NOUN
iajs-3241	52	9	)	)	PUNCT
iajs-3241	52	10	)	)	PUNCT
iajs-3241	53	1	+	+	CCONJ
iajs-3241	53	2	𝐴0	𝐴0	PROPN
iajs-3241	53	3	]	]	X
iajs-3241	53	4	]	]	X
iajs-3241	53	5	𝑦2(𝑥	𝑦2(𝑥	NUM
iajs-3241	53	6	,	,	PUNCT
iajs-3241	53	7	𝑡	𝑡	PROPN
iajs-3241	53	8	)	)	PUNCT
iajs-3241	53	9	=	=	PUNCT
iajs-3241	54	1	−𝑆−1	−𝑆−1	NUM
iajs-3241	55	1	[	[	X
iajs-3241	55	2	𝑢𝑤𝑆[𝐿(𝑦1(𝑥	𝑢𝑤𝑆[𝐿(𝑦1(𝑥	NUM
iajs-3241	55	3	,	,	PUNCT
iajs-3241	55	4	𝑡	𝑡	NOUN
iajs-3241	55	5	)	)	PUNCT
iajs-3241	55	6	)	)	PUNCT
iajs-3241	56	1	+	+	CCONJ
iajs-3241	56	2	𝐴1	𝐴1	PROPN
iajs-3241	56	3	]	]	X
iajs-3241	56	4	]	]	X
iajs-3241	56	5	⋮	⋮	PROPN
iajs-3241	56	6	𝑦𝑖(𝑥	𝑦𝑖(𝑥	PROPN
iajs-3241	56	7	,	,	PUNCT
iajs-3241	56	8	𝑡	𝑡	X
iajs-3241	56	9	)	)	PUNCT
iajs-3241	56	10	=	=	PUNCT
iajs-3241	56	11	−𝑆−1[𝑢𝑤𝑆[𝐿(𝑦𝑖−1(𝑥	−𝑆−1[𝑢𝑤𝑆[𝐿(𝑦𝑖−1(𝑥	NUM
iajs-3241	56	12	,	,	PUNCT
iajs-3241	56	13	𝑡	𝑡	NOUN
iajs-3241	56	14	)	)	PUNCT
iajs-3241	56	15	)	)	PUNCT
iajs-3241	57	1	+	+	CCONJ
iajs-3241	58	1	𝐴𝑖	𝐴𝑖	PROPN
iajs-3241	58	2	]	]	X
iajs-3241	58	3	]	]	PUNCT
iajs-3241	58	4	finally	finally	ADV
iajs-3241	58	5	,	,	PUNCT
iajs-3241	58	6	the	the	DET
iajs-3241	58	7	iteration	iteration	NOUN
iajs-3241	58	8	𝑦0	𝑦0	NOUN
iajs-3241	58	9	,	,	PUNCT
iajs-3241	58	10	𝑦1	𝑦1	NOUN
iajs-3241	58	11	,	,	PUNCT
iajs-3241	58	12	…	…	PUNCT
iajs-3241	58	13	.	.	PUNCT
iajs-3241	59	1	,	,	PUNCT
iajs-3241	59	2	𝑦𝑖	𝑦𝑖	PROPN
iajs-3241	59	3	were	be	AUX
iajs-3241	59	4	obtained	obtain	VERB
iajs-3241	59	5	and	and	CCONJ
iajs-3241	59	6	we	we	PRON
iajs-3241	59	7	approximate	approximate	VERB
iajs-3241	59	8	the	the	DET
iajs-3241	59	9	analytical	analytical	ADJ
iajs-3241	59	10	solution	solution	NOUN
iajs-3241	59	11	𝑦(𝑥	𝑦(𝑥	PROPN
iajs-3241	59	12	,	,	PUNCT
iajs-3241	59	13	𝑡	𝑡	NOUN
iajs-3241	59	14	)	)	PUNCT
iajs-3241	59	15	by	by	ADP
iajs-3241	59	16	truncated	truncated	ADJ
iajs-3241	59	17	series	series	NOUN
iajs-3241	59	18	𝑦(𝑥	𝑦(𝑥	PROPN
iajs-3241	59	19	,	,	PUNCT
iajs-3241	59	20	𝑡	𝑡	X
iajs-3241	59	21	)	)	PUNCT
iajs-3241	59	22	=	=	SYM
iajs-3241	59	23	∑	∑	PUNCT
iajs-3241	59	24	𝑦𝑖(𝑥	𝑦𝑖(𝑥	PROPN
iajs-3241	59	25	,	,	PUNCT
iajs-3241	59	26	𝑡	𝑡	PROPN
iajs-3241	59	27	)	)	PUNCT
iajs-3241	59	28	∞	∞	PROPN
iajs-3241	59	29	𝑖=0	𝑖=0	PROPN
iajs-3241	59	30	.	.	PUNCT
iajs-3241	60	1	3	3	X
iajs-3241	60	2	.	.	X
iajs-3241	60	3	test	test	NOUN
iajs-3241	60	4	example	example	NOUN
iajs-3241	60	5	:	:	PUNCT
iajs-3241	60	6	the	the	DET
iajs-3241	60	7	test	test	NOUN
iajs-3241	60	8	example	example	NOUN
iajs-3241	60	9	shows	show	VERB
iajs-3241	60	10	the	the	DET
iajs-3241	60	11	reliable	reliable	ADJ
iajs-3241	60	12	and	and	CCONJ
iajs-3241	60	13	efficient	efficient	ADJ
iajs-3241	60	14	of	of	ADP
iajs-3241	60	15	stadm	stadm	NOUN
iajs-3241	60	16	.	.	PUNCT
iajs-3241	61	1	all	all	DET
iajs-3241	61	2	results	result	NOUN
iajs-3241	61	3	are	be	AUX
iajs-3241	61	4	calculated	calculate	VERB
iajs-3241	61	5	using	use	VERB
iajs-3241	61	6	the	the	DET
iajs-3241	61	7	software	software	NOUN
iajs-3241	61	8	matlab	matlab	NOUN
iajs-3241	61	9	r2021b	r2021b	PROPN
iajs-3241	61	10	.	.	PUNCT
iajs-3241	61	11	example	example	NOUN
iajs-3241	61	12	3.1	3.1	NUM
iajs-3241	61	13	:	:	PUNCT
iajs-3241	61	14	consider	consider	VERB
iajs-3241	61	15	newell	newell	PROPN
iajs-3241	61	16	-	-	PUNCT
iajs-3241	61	17	whitehead	whitehead	PROPN
iajs-3241	61	18	pdes	pde	NOUN
iajs-3241	61	19	as	as	SCONJ
iajs-3241	61	20	follows	follow	VERB
iajs-3241	61	21	:	:	PUNCT
iajs-3241	61	22	∂w	∂w	PROPN
iajs-3241	61	23	y(x	y(x	PROPN
iajs-3241	61	24	,	,	PUNCT
iajs-3241	61	25	t	t	PROPN
iajs-3241	61	26	)	)	PUNCT
iajs-3241	61	27	∂tw	∂tw	PROPN
iajs-3241	61	28	−	−	PROPN
iajs-3241	61	29	∂2	∂2	PROPN
iajs-3241	61	30	y	y	PROPN
iajs-3241	61	31	(	(	PUNCT
iajs-3241	61	32	x	x	PROPN
iajs-3241	61	33	,	,	PUNCT
iajs-3241	61	34	t	t	PROPN
iajs-3241	61	35	)	)	PUNCT
iajs-3241	61	36	∂	∂	NOUN
iajs-3241	62	1	x2	x2	NOUN
iajs-3241	62	2	=	=	SYM
iajs-3241	62	3	y	y	PROPN
iajs-3241	62	4	(	(	PUNCT
iajs-3241	62	5	x	x	PROPN
iajs-3241	62	6	,	,	PUNCT
iajs-3241	62	7	t	t	PROPN
iajs-3241	62	8	)	)	PUNCT
iajs-3241	63	1	−	−	PROPN
iajs-3241	63	2	y3	y3	NOUN
iajs-3241	63	3	(	(	PUNCT
iajs-3241	63	4	x	x	X
iajs-3241	63	5	,	,	PUNCT
iajs-3241	63	6	t	t	PROPN
iajs-3241	63	7	)	)	PUNCT
iajs-3241	63	8	…	…	PUNCT
iajs-3241	63	9	…	…	PUNCT
iajs-3241	63	10	…	…	PUNCT
iajs-3241	63	11	…	…	PUNCT
iajs-3241	63	12	…	…	PUNCT
iajs-3241	63	13	..	..	PUNCT
iajs-3241	63	14	(	(	PUNCT
iajs-3241	63	15	9	9	NUM
iajs-3241	63	16	)	)	PUNCT
iajs-3241	63	17	with	with	ADP
iajs-3241	63	18	initial	initial	ADJ
iajs-3241	63	19	condition	condition	NOUN
iajs-3241	63	20	y	y	PROPN
iajs-3241	63	21	(	(	PUNCT
iajs-3241	63	22	x	x	X
iajs-3241	63	23	,	,	PUNCT
iajs-3241	63	24	0	0	NUM
iajs-3241	63	25	)	)	PUNCT
iajs-3241	63	26	=	=	SYM
iajs-3241	63	27	1	1	NUM
iajs-3241	63	28	2	2	NUM
iajs-3241	63	29	[	[	SYM
iajs-3241	63	30	1	1	NUM
iajs-3241	63	31	+	+	NUM
iajs-3241	63	32	tan	tan	ADJ
iajs-3241	63	33	h	h	NOUN
iajs-3241	63	34	(	(	PUNCT
iajs-3241	63	35	x	x	PROPN
iajs-3241	63	36	2√2	2√2	NUM
iajs-3241	63	37	)	)	PUNCT
iajs-3241	63	38	]	]	PUNCT
iajs-3241	63	39	…	…	PUNCT
iajs-3241	63	40	…	…	PUNCT
iajs-3241	63	41	…	…	PUNCT
iajs-3241	63	42	…	…	PUNCT
iajs-3241	63	43	…	…	PUNCT
iajs-3241	63	44	..	..	PUNCT
iajs-3241	63	45	(	(	PUNCT
iajs-3241	63	46	10	10	NUM
iajs-3241	63	47	)	)	PUNCT
iajs-3241	63	48	and	and	CCONJ
iajs-3241	63	49	the	the	DET
iajs-3241	63	50	true	true	ADJ
iajs-3241	63	51	solution	solution	NOUN
iajs-3241	63	52	y	y	PROPN
iajs-3241	63	53	(	(	PUNCT
iajs-3241	63	54	x	x	PROPN
iajs-3241	63	55	,	,	PUNCT
iajs-3241	63	56	t	t	PROPN
iajs-3241	63	57	)	)	PUNCT
iajs-3241	63	58	=	=	SYM
iajs-3241	63	59	1	1	NUM
iajs-3241	63	60	2	2	NUM
iajs-3241	63	61	[	[	SYM
iajs-3241	63	62	1	1	NUM
iajs-3241	63	63	+	+	NUM
iajs-3241	63	64	tan	tan	ADJ
iajs-3241	63	65	h	h	NOUN
iajs-3241	63	66	(	(	PUNCT
iajs-3241	63	67	√2x+3	√2x+3	PROPN
iajs-3241	63	68	t	t	PROPN
iajs-3241	63	69	4	4	NUM
iajs-3241	63	70	)	)	PUNCT
iajs-3241	63	71	]	]	PUNCT
iajs-3241	63	72	solution	solution	NOUN
iajs-3241	63	73	:	:	PUNCT
iajs-3241	63	74	the	the	DET
iajs-3241	63	75	adomain	adomain	NOUN
iajs-3241	63	76	polynomials	polynomial	NOUN
iajs-3241	63	77	for	for	ADP
iajs-3241	63	78	the	the	DET
iajs-3241	63	79	nonlinear	nonlinear	ADJ
iajs-3241	63	80	terms	term	NOUN
iajs-3241	63	81	−y3	−y3	NOUN
iajs-3241	63	82	can	can	AUX
iajs-3241	63	83	be	be	AUX
iajs-3241	63	84	computed	compute	VERB
iajs-3241	63	85	as	as	SCONJ
iajs-3241	63	86	follows	follow	VERB
iajs-3241	63	87	:	:	PUNCT
iajs-3241	63	88	by	by	ADP
iajs-3241	63	89	using	use	VERB
iajs-3241	63	90	eq.(10	eq.(10	NOUN
iajs-3241	63	91	)	)	PUNCT
iajs-3241	63	92	,	,	PUNCT
iajs-3241	63	93	we	we	PRON
iajs-3241	63	94	have	have	VERB
iajs-3241	63	95	a0	a0	NOUN
iajs-3241	63	96	=	=	SYM
iajs-3241	63	97	−y0	−y0	PROPN
iajs-3241	63	98	3	3	NUM
iajs-3241	63	99	a1	a1	NOUN
iajs-3241	63	100	=	=	PUNCT
iajs-3241	63	101	−3	−3	NOUN
iajs-3241	63	102	y0	y0	NOUN
iajs-3241	63	103	2	2	NUM
iajs-3241	63	104	y1	y1	NOUN
iajs-3241	63	105	a2	a2	NOUN
iajs-3241	63	106	=	=	PUNCT
iajs-3241	64	1	−3(y0	−3(y0	NUM
iajs-3241	64	2	2	2	NUM
iajs-3241	64	3	y2	y2	NOUN
iajs-3241	64	4	+	+	CCONJ
iajs-3241	64	5	y0	y0	NOUN
iajs-3241	64	6	y1	y1	ADJ
iajs-3241	64	7	2	2	NUM
iajs-3241	64	8	)	)	PUNCT
iajs-3241	64	9	a3	a3	NOUN
iajs-3241	64	10	=	=	SYM
iajs-3241	64	11	−(3(y0	−(3(y0	NUM
iajs-3241	64	12	2	2	NUM
iajs-3241	64	13	y3	y3	NOUN
iajs-3241	64	14	+	+	CCONJ
iajs-3241	64	15	6y0	6y0	NUM
iajs-3241	64	16	y1	y1	NOUN
iajs-3241	64	17	y2	y2	NOUN
iajs-3241	65	1	+	+	CCONJ
iajs-3241	65	2	y1	y1	PROPN
iajs-3241	65	3	3	3	NUM
iajs-3241	65	4	)	)	PUNCT
iajs-3241	65	5	y0(x	y0(x	PROPN
iajs-3241	65	6	,	,	PUNCT
iajs-3241	65	7	t	t	PROPN
iajs-3241	65	8	)	)	PUNCT
iajs-3241	65	9	=	=	SYM
iajs-3241	65	10	1	1	NUM
iajs-3241	65	11	2	2	NUM
iajs-3241	65	12	1	1	NUM
iajs-3241	65	13	+	+	NUM
iajs-3241	65	14	tan	tan	ADJ
iajs-3241	65	15	h	h	NOUN
iajs-3241	65	16	x	x	PROPN
iajs-3241	65	17	2√2	2√2	NUM
iajs-3241	65	18	ihjpas	ihjpa	VERB
iajs-3241	65	19	.	.	PUNCT
iajs-3241	66	1	36	36	NUM
iajs-3241	66	2	(	(	PUNCT
iajs-3241	66	3	3	3	NUM
iajs-3241	66	4	)	)	PUNCT
iajs-3241	66	5	2023	2023	NUM
iajs-3241	66	6	319	319	NUM
iajs-3241	66	7	we	we	PRON
iajs-3241	66	8	determine	determine	VERB
iajs-3241	66	9	the	the	DET
iajs-3241	66	10	terms	term	NOUN
iajs-3241	66	11	below	below	ADP
iajs-3241	66	12	using	use	VERB
iajs-3241	66	13	the	the	DET
iajs-3241	66	14	same	same	ADJ
iajs-3241	66	15	pattern	pattern	NOUN
iajs-3241	66	16	:	:	PUNCT
iajs-3241	66	17	the	the	DET
iajs-3241	66	18	analytical	analytical	ADJ
iajs-3241	66	19	solution	solution	NOUN
iajs-3241	66	20	is	be	AUX
iajs-3241	66	21	provided	provide	VERB
iajs-3241	66	22	by	by	ADP
iajs-3241	66	23	:	:	PUNCT
iajs-3241	66	24	y𝑛(x	y𝑛(x	NUM
iajs-3241	66	25	,	,	PUNCT
iajs-3241	66	26	t	t	PROPN
iajs-3241	66	27	)	)	PUNCT
iajs-3241	66	28	=	=	SYM
iajs-3241	66	29	y0(x	y0(x	PROPN
iajs-3241	66	30	,	,	PUNCT
iajs-3241	66	31	t	t	PROPN
iajs-3241	66	32	)	)	PUNCT
iajs-3241	66	33	+	+	PUNCT
iajs-3241	67	1	y1(x	y1(x	PROPN
iajs-3241	67	2	,	,	PUNCT
iajs-3241	67	3	t	t	PROPN
iajs-3241	67	4	)	)	PUNCT
iajs-3241	68	1	+	+	CCONJ
iajs-3241	68	2	y2(x	y2(x	PROPN
iajs-3241	68	3	,	,	PUNCT
iajs-3241	68	4	t	t	PROPN
iajs-3241	68	5	)	)	PUNCT
iajs-3241	68	6	+	+	PROPN
iajs-3241	69	1	y3(x	y3(x	PROPN
iajs-3241	69	2	,	,	PUNCT
iajs-3241	69	3	t	t	PROPN
iajs-3241	69	4	)	)	PUNCT
iajs-3241	69	5	y𝑛(x	y𝑛(x	PROPN
iajs-3241	69	6	,	,	PUNCT
iajs-3241	69	7	t	t	PROPN
iajs-3241	69	8	)	)	PUNCT
iajs-3241	69	9	=	=	SYM
iajs-3241	69	10	1	1	NUM
iajs-3241	69	11	2	2	NUM
iajs-3241	69	12	1	1	NUM
iajs-3241	69	13	+	+	NUM
iajs-3241	69	14	tan	tan	ADJ
iajs-3241	69	15	h	h	NOUN
iajs-3241	69	16	x	x	PROPN
iajs-3241	70	1	2√2	2√2	NUM
iajs-3241	70	2	+	+	CCONJ
iajs-3241	70	3	3	3	NUM
iajs-3241	70	4	8	8	NUM
iajs-3241	70	5	sech2	sech2	NOUN
iajs-3241	70	6	x	x	SYM
iajs-3241	70	7	2	2	NUM
iajs-3241	70	8	√2	√2	PROPN
iajs-3241	70	9	.	.	PUNCT
iajs-3241	71	1	t𝛼	t𝛼	ADP
iajs-3241	71	2	α	α	NOUN
iajs-3241	71	3	−	−	NOUN
iajs-3241	71	4	9	9	NUM
iajs-3241	71	5	4	4	NUM
iajs-3241	71	6	sin	sin	NOUN
iajs-3241	71	7	h4	h4	NOUN
iajs-3241	71	8	x	x	SYM
iajs-3241	71	9	2√2	2√2	NUM
iajs-3241	71	10	csc	csc	PROPN
iajs-3241	71	11	h3	h3	NOUN
iajs-3241	71	12	x	x	PROPN
iajs-3241	71	13	√2	√2	NOUN
iajs-3241	71	14	.	.	PUNCT
iajs-3241	72	1	tα	tα	PROPN
iajs-3241	72	2	α	α	NOUN
iajs-3241	72	3	2	2	NUM
iajs-3241	73	1	+	+	CCONJ
iajs-3241	73	2	9	9	NUM
iajs-3241	73	3	128	128	NUM
iajs-3241	73	4	.	.	PUNCT
iajs-3241	74	1	tα	tα	VERB
iajs-3241	74	2	α	α	DET
iajs-3241	74	3	3	3	PROPN
iajs-3241	74	4	.	.	PUNCT
iajs-3241	75	1	cosh	cosh	PROPN
iajs-3241	75	2	x	x	PUNCT
iajs-3241	76	1	√2	√2	NOUN
iajs-3241	76	2	−	−	NOUN
iajs-3241	76	3	2	2	NUM
iajs-3241	76	4	sech4	sech4	NOUN
iajs-3241	76	5	x	x	SYM
iajs-3241	77	1	2√2	2√2	NUM
iajs-3241	77	2	where	where	SCONJ
iajs-3241	77	3	n	n	NOUN
iajs-3241	77	4	=	=	SYM
iajs-3241	77	5	1	1	NUM
iajs-3241	77	6	,	,	PUNCT
iajs-3241	77	7	2	2	NUM
iajs-3241	77	8	,	,	PUNCT
iajs-3241	77	9	3	3	NUM
iajs-3241	77	10	and	and	CCONJ
iajs-3241	77	11	4	4	NUM
iajs-3241	77	12	for	for	ADP
iajs-3241	77	13	the	the	DET
iajs-3241	77	14	set	set	NOUN
iajs-3241	77	15	of	of	ADP
iajs-3241	77	16	𝛼	𝛼	NOUN
iajs-3241	77	17	values	value	NOUN
iajs-3241	77	18	that	that	PRON
iajs-3241	77	19	applied	apply	VERB
iajs-3241	77	20	in	in	ADP
iajs-3241	77	21	this	this	DET
iajs-3241	77	22	example	example	NOUN
iajs-3241	77	23	,	,	PUNCT
iajs-3241	77	24	which	which	PRON
iajs-3241	77	25	are	be	AUX
iajs-3241	77	26	0.4	0.4	NUM
iajs-3241	77	27	,	,	PUNCT
iajs-3241	77	28	0.6	0.6	NUM
iajs-3241	77	29	,	,	PUNCT
iajs-3241	77	30	0.8	0.8	NUM
iajs-3241	77	31	,	,	PUNCT
iajs-3241	77	32	and	and	CCONJ
iajs-3241	77	33	1	1	NUM
iajs-3241	77	34	.	.	NOUN
iajs-3241	77	35	4	4	NUM
iajs-3241	77	36	.	.	NOUN
iajs-3241	77	37	results	result	VERB
iajs-3241	77	38	the	the	DET
iajs-3241	77	39	following	follow	VERB
iajs-3241	77	40	figures	figure	NOUN
iajs-3241	77	41	present	present	VERB
iajs-3241	77	42	the	the	DET
iajs-3241	77	43	absolute	absolute	ADJ
iajs-3241	77	44	error	error	NOUN
iajs-3241	77	45	at	at	ADP
iajs-3241	77	46	t=0.002	t=0.002	X
iajs-3241	77	47	with	with	ADP
iajs-3241	77	48	various	various	ADJ
iajs-3241	77	49	value	value	NOUN
iajs-3241	77	50	of	of	ADP
iajs-3241	77	51	x	x	X
iajs-3241	77	52	.	.	PUNCT
iajs-3241	78	1	we	we	PRON
iajs-3241	78	2	employ	employ	VERB
iajs-3241	78	3	a	a	DET
iajs-3241	78	4	few	few	ADJ
iajs-3241	78	5	terms	term	NOUN
iajs-3241	78	6	to	to	PART
iajs-3241	78	7	approximate	approximate	VERB
iajs-3241	78	8	the	the	DET
iajs-3241	78	9	solution	solution	NOUN
iajs-3241	78	10	,	,	PUNCT
iajs-3241	78	11	and	and	CCONJ
iajs-3241	78	12	the	the	DET
iajs-3241	78	13	suggested	suggest	VERB
iajs-3241	78	14	approach	approach	NOUN
iajs-3241	78	15	,	,	PUNCT
iajs-3241	78	16	fstadm	fstadm	NOUN
iajs-3241	78	17	,	,	PUNCT
iajs-3241	78	18	has	have	VERB
iajs-3241	78	19	a	a	DET
iajs-3241	78	20	high	high	ADJ
iajs-3241	78	21	convergence	convergence	NOUN
iajs-3241	78	22	order	order	NOUN
iajs-3241	78	23	and	and	CCONJ
iajs-3241	78	24	higher	high	ADJ
iajs-3241	78	25	accuracy	accuracy	NOUN
iajs-3241	78	26	.	.	PUNCT
iajs-3241	79	1	similarly	similarly	ADV
iajs-3241	79	2	,	,	PUNCT
iajs-3241	79	3	figure4.1	figure4.1	NOUN
iajs-3241	79	4	–	–	PUNCT
iajs-3241	79	5	figure4.6	figure4.6	NUM
iajs-3241	79	6	show	show	VERB
iajs-3241	79	7	the	the	DET
iajs-3241	79	8	3d	3d	NUM
iajs-3241	79	9	exact	exact	NOUN
iajs-3241	79	10	and	and	CCONJ
iajs-3241	79	11	achieved	achieve	VERB
iajs-3241	79	12	results	result	NOUN
iajs-3241	79	13	are	be	AUX
iajs-3241	79	14	plotted	plot	VERB
iajs-3241	79	15	at	at	ADP
iajs-3241	79	16	𝛼	𝛼	NOUN
iajs-3241	79	17	=	=	NUM
iajs-3241	79	18	0.4	0.4	NUM
iajs-3241	79	19	,	,	PUNCT
iajs-3241	79	20	0.6	0.6	NUM
iajs-3241	79	21	,	,	PUNCT
iajs-3241	79	22	0.8	0.8	NUM
iajs-3241	79	23	,	,	PUNCT
iajs-3241	79	24	and	and	CCONJ
iajs-3241	79	25	1	1	X
iajs-3241	79	26	.	.	X
iajs-3241	80	1	all	all	DET
iajs-3241	80	2	the	the	DET
iajs-3241	80	3	accurate	accurate	ADJ
iajs-3241	80	4	and	and	CCONJ
iajs-3241	80	5	approximate	approximate	ADJ
iajs-3241	80	6	results	result	NOUN
iajs-3241	80	7	on	on	ADP
iajs-3241	80	8	the	the	DET
iajs-3241	80	9	graphs	graph	NOUN
iajs-3241	80	10	have	have	AUX
iajs-3241	80	11	shown	show	VERB
iajs-3241	80	12	are	be	AUX
iajs-3241	80	13	much	much	ADV
iajs-3241	80	14	closed	closed	ADJ
iajs-3241	80	15	and	and	CCONJ
iajs-3241	80	16	indicates	indicate	VERB
iajs-3241	80	17	the	the	DET
iajs-3241	80	18	validity	validity	NOUN
iajs-3241	80	19	of	of	ADP
iajs-3241	80	20	the	the	DET
iajs-3241	80	21	present	present	ADJ
iajs-3241	80	22	technique	technique	NOUN
iajs-3241	80	23	.	.	PUNCT
iajs-3241	81	1	figure	figure	VERB
iajs-3241	81	2	4.1	4.1	NUM
iajs-3241	81	3	:	:	PUNCT
iajs-3241	81	4	abs	ab	VERB
iajs-3241	81	5	error	error	NOUN
iajs-3241	81	6	of	of	ADP
iajs-3241	81	7	the	the	DET
iajs-3241	81	8	solutions	solution	NOUN
iajs-3241	81	9	at	at	ADP
iajs-3241	81	10	𝛼=0.4,0.6,0.8,1	𝛼=0.4,0.6,0.8,1	NOUN
iajs-3241	81	11	.	.	PUNCT
iajs-3241	82	1	y2(x	y2(x	PROPN
iajs-3241	82	2	,	,	PUNCT
iajs-3241	82	3	t	t	PROPN
iajs-3241	82	4	)	)	PUNCT
iajs-3241	82	5	=	=	PUNCT
iajs-3241	83	1	−	−	PROPN
iajs-3241	83	2	9	9	NUM
iajs-3241	83	3	4	4	NUM
iajs-3241	83	4	sin	sin	NOUN
iajs-3241	83	5	h4	h4	NOUN
iajs-3241	83	6	x	x	SYM
iajs-3241	83	7	2√2	2√2	NUM
iajs-3241	83	8	csc	csc	PROPN
iajs-3241	83	9	h3	h3	NOUN
iajs-3241	83	10	x	x	PROPN
iajs-3241	83	11	√2	√2	NOUN
iajs-3241	83	12	.	.	PUNCT
iajs-3241	84	1	tw	tw	PROPN
iajs-3241	85	1	w	w	PROPN
iajs-3241	85	2	2	2	NUM
iajs-3241	85	3	y3(x	y3(x	PROPN
iajs-3241	85	4	,	,	PUNCT
iajs-3241	85	5	t	t	PROPN
iajs-3241	85	6	)	)	PUNCT
iajs-3241	85	7	=	=	SYM
iajs-3241	85	8	9	9	NUM
iajs-3241	85	9	128	128	NUM
iajs-3241	85	10	.	.	PUNCT
iajs-3241	86	1	tw	tw	VERB
iajs-3241	86	2	w	w	ADP
iajs-3241	86	3	3	3	NUM
iajs-3241	86	4	.	.	PUNCT
iajs-3241	87	1	cosh	cosh	PROPN
iajs-3241	87	2	x	x	PUNCT
iajs-3241	88	1	√2	√2	NOUN
iajs-3241	88	2	−	−	NOUN
iajs-3241	88	3	2	2	NUM
iajs-3241	88	4	sech4	sech4	NOUN
iajs-3241	88	5	x	x	SYM
iajs-3241	89	1	2√2	2√2	NUM
iajs-3241	89	2	ihjpas	ihjpa	NOUN
iajs-3241	89	3	.	.	PUNCT
iajs-3241	90	1	36	36	NUM
iajs-3241	90	2	(	(	PUNCT
iajs-3241	90	3	3	3	NUM
iajs-3241	90	4	)	)	PUNCT
iajs-3241	90	5	2023	2023	NUM
iajs-3241	90	6	320	320	NUM
iajs-3241	90	7	figure4.2	figure4.2	NOUN
iajs-3241	90	8	:	:	PUNCT
iajs-3241	90	9	approximate	approximate	ADJ
iajs-3241	90	10	solutions	solution	NOUN
iajs-3241	90	11	ym	ym	X
iajs-3241	90	12	at	at	ADP
iajs-3241	90	13	𝛼=0.4,0.6,0.8	𝛼=0.4,0.6,0.8	PROPN
iajs-3241	90	14	and	and	CCONJ
iajs-3241	90	15	1	1	NUM
iajs-3241	90	16	and	and	CCONJ
iajs-3241	90	17	exact	exact	ADJ
iajs-3241	90	18	solution	solution	NOUN
iajs-3241	90	19	.	.	PUNCT
iajs-3241	91	1	figure	figure	VERB
iajs-3241	91	2	4.3	4.3	NUM
iajs-3241	91	3	:	:	PUNCT
iajs-3241	91	4	the	the	DET
iajs-3241	91	5	3d	3d	NUM
iajs-3241	91	6	approximate	approximate	ADJ
iajs-3241	91	7	solutions	solution	NOUN
iajs-3241	91	8	plots	plot	NOUN
iajs-3241	91	9	at	at	ADP
iajs-3241	91	10	𝛼	𝛼	NOUN
iajs-3241	91	11	=	=	SYM
iajs-3241	91	12	0.4	0.4	NUM
iajs-3241	91	13	,	,	PUNCT
iajs-3241	91	14	0.6	0.6	NUM
iajs-3241	91	15	,	,	PUNCT
iajs-3241	91	16	0.8	0.8	NUM
iajs-3241	91	17	and	and	CCONJ
iajs-3241	91	18	1	1	NUM
iajs-3241	91	19	.	.	NUM
iajs-3241	91	20	ihjpas	ihjpas	PROPN
iajs-3241	91	21	.	.	PUNCT
iajs-3241	92	1	36	36	NUM
iajs-3241	92	2	(	(	PUNCT
iajs-3241	92	3	3	3	NUM
iajs-3241	92	4	)	)	PUNCT
iajs-3241	92	5	2023	2023	NUM
iajs-3241	92	6	321	321	NUM
iajs-3241	92	7	figure	figure	NOUN
iajs-3241	92	8	4.4	4.4	NUM
iajs-3241	92	9	:	:	PUNCT
iajs-3241	92	10	the	the	DET
iajs-3241	92	11	3d	3d	PROPN
iajs-3241	92	12	absolute	absolute	ADJ
iajs-3241	92	13	solution	solution	NOUN
iajs-3241	92	14	plots	plot	NOUN
iajs-3241	92	15	.	.	PUNCT
iajs-3241	93	1	5	5	X
iajs-3241	93	2	.	.	X
iajs-3241	93	3	conclusion	conclusion	NOUN
iajs-3241	93	4	it	it	PRON
iajs-3241	93	5	is	be	AUX
iajs-3241	93	6	difficult	difficult	ADJ
iajs-3241	93	7	to	to	PART
iajs-3241	93	8	find	find	VERB
iajs-3241	93	9	analytical	analytical	ADJ
iajs-3241	93	10	solutions	solution	NOUN
iajs-3241	93	11	to	to	ADP
iajs-3241	93	12	some	some	DET
iajs-3241	93	13	fpdes	fpde	NOUN
iajs-3241	93	14	with	with	ADP
iajs-3241	93	15	initial	initial	ADJ
iajs-3241	93	16	and	and	CCONJ
iajs-3241	93	17	boundary	boundary	ADJ
iajs-3241	93	18	conditions	condition	NOUN
iajs-3241	93	19	,	,	PUNCT
iajs-3241	93	20	so	so	SCONJ
iajs-3241	93	21	the	the	DET
iajs-3241	93	22	solution	solution	NOUN
iajs-3241	93	23	here	here	ADV
iajs-3241	93	24	rarely	rarely	ADV
iajs-3241	93	25	exists	exist	VERB
iajs-3241	93	26	.	.	PUNCT
iajs-3241	94	1	here	here	ADV
iajs-3241	94	2	,	,	PUNCT
iajs-3241	94	3	the	the	DET
iajs-3241	94	4	solutions	solution	NOUN
iajs-3241	94	5	of	of	ADP
iajs-3241	94	6	the	the	DET
iajs-3241	94	7	time	time	NOUN
iajs-3241	94	8	-	-	PUNCT
iajs-3241	94	9	fractional	fractional	ADJ
iajs-3241	94	10	newellwhitehead	newellwhitehead	NOUN
iajs-3241	94	11	equation	equation	NOUN
iajs-3241	94	12	are	be	AUX
iajs-3241	94	13	made	make	VERB
iajs-3241	94	14	successfully	successfully	ADV
iajs-3241	94	15	.	.	PUNCT
iajs-3241	95	1	the	the	DET
iajs-3241	95	2	results	result	NOUN
iajs-3241	95	3	are	be	AUX
iajs-3241	95	4	convergent	convergent	ADJ
iajs-3241	95	5	and	and	CCONJ
iajs-3241	95	6	much	much	ADV
iajs-3241	95	7	closed	close	VERB
iajs-3241	95	8	to	to	ADP
iajs-3241	95	9	the	the	DET
iajs-3241	95	10	true	true	ADJ
iajs-3241	95	11	solutions	solution	NOUN
iajs-3241	95	12	.	.	PUNCT
iajs-3241	96	1	the	the	DET
iajs-3241	96	2	results	result	NOUN
iajs-3241	96	3	are	be	AUX
iajs-3241	96	4	shown	show	VERB
iajs-3241	96	5	through	through	ADP
iajs-3241	96	6	2d	2d	NUM
iajs-3241	96	7	and	and	CCONJ
iajs-3241	96	8	3d	3d	NUM
iajs-3241	96	9	at	at	ADP
iajs-3241	96	10	various	various	ADJ
iajs-3241	96	11	fractional	fractional	ADJ
iajs-3241	96	12	-	-	PUNCT
iajs-3241	96	13	orders	order	NOUN
iajs-3241	96	14	.	.	PUNCT
iajs-3241	97	1	so	so	ADV
iajs-3241	97	2	,	,	PUNCT
iajs-3241	97	3	the	the	DET
iajs-3241	97	4	presented	present	VERB
iajs-3241	97	5	method	method	NOUN
iajs-3241	97	6	has	have	VERB
iajs-3241	97	7	an	an	DET
iajs-3241	97	8	excellent	excellent	ADJ
iajs-3241	97	9	convergent	convergent	NOUN
iajs-3241	97	10	rate	rate	NOUN
iajs-3241	97	11	and	and	CCONJ
iajs-3241	97	12	can	can	AUX
iajs-3241	97	13	be	be	AUX
iajs-3241	97	14	used	use	VERB
iajs-3241	97	15	to	to	PART
iajs-3241	97	16	solve	solve	VERB
iajs-3241	97	17	non	non	ADJ
iajs-3241	97	18	-	-	ADJ
iajs-3241	97	19	linear	linear	ADJ
iajs-3241	97	20	applications	application	NOUN
iajs-3241	97	21	.	.	PUNCT
iajs-3241	98	1	references	reference	NOUN
iajs-3241	98	2	1	1	NUM
iajs-3241	98	3	.	.	PUNCT
iajs-3241	98	4	i.	i.	NOUN
iajs-3241	98	5	podlubny	podlubny	PROPN
iajs-3241	98	6	,	,	PUNCT
iajs-3241	98	7	fractional	fractional	ADJ
iajs-3241	98	8	differential	differential	ADJ
iajs-3241	98	9	equations	equation	NOUN
iajs-3241	98	10	:	:	PUNCT
iajs-3241	98	11	an	an	DET
iajs-3241	98	12	introduction	introduction	NOUN
iajs-3241	98	13	to	to	ADP
iajs-3241	98	14	fractional	fractional	ADJ
iajs-3241	98	15	derivatives	derivative	NOUN
iajs-3241	98	16	,	,	PUNCT
iajs-3241	98	17	fractional	fractional	ADJ
iajs-3241	98	18	differential	differential	ADJ
iajs-3241	98	19	equations	equation	NOUN
iajs-3241	98	20	,	,	PUNCT
iajs-3241	98	21	to	to	ADP
iajs-3241	98	22	methods	method	NOUN
iajs-3241	98	23	of	of	ADP
iajs-3241	98	24	their	their	PRON
iajs-3241	98	25	solution	solution	NOUN
iajs-3241	98	26	and	and	CCONJ
iajs-3241	98	27	some	some	PRON
iajs-3241	98	28	of	of	ADP
iajs-3241	98	29	their	their	PRON
iajs-3241	98	30	applications	application	NOUN
iajs-3241	98	31	.	.	PUNCT
iajs-3241	99	1	amsterdam	amsterdam	PROPN
iajs-3241	99	2	,	,	PUNCT
iajs-3241	99	3	the	the	DET
iajs-3241	99	4	netherlands	netherlands	PROPN
iajs-3241	99	5	:	:	PUNCT
iajs-3241	99	6	elsevier	elsevier	NOUN
iajs-3241	99	7	,	,	PUNCT
iajs-3241	99	8	1998	1998	NUM
iajs-3241	99	9	.	.	PUNCT
iajs-3241	100	1	2	2	X
iajs-3241	100	2	.	.	X
iajs-3241	100	3	r.	r.	PROPN
iajs-3241	100	4	metzler	metzler	PROPN
iajs-3241	100	5	and	and	CCONJ
iajs-3241	100	6	j.	j.	PROPN
iajs-3241	100	7	klafter	klafter	PROPN
iajs-3241	100	8	,	,	PUNCT
iajs-3241	100	9	`	`	PUNCT
iajs-3241	100	10	`	`	PUNCT
iajs-3241	100	11	the	the	DET
iajs-3241	100	12	random	random	ADJ
iajs-3241	100	13	walk	walk	NOUN
iajs-3241	100	14	's	's	PART
iajs-3241	100	15	guide	guide	NOUN
iajs-3241	100	16	to	to	ADP
iajs-3241	100	17	anomalous	anomalous	ADJ
iajs-3241	100	18	diffusion	diffusion	NOUN
iajs-3241	100	19	:	:	PUNCT
iajs-3241	100	20	afractional	afractional	ADJ
iajs-3241	100	21	dynamics	dynamic	NOUN
iajs-3241	100	22	approach	approach	NOUN
iajs-3241	100	23	,	,	PUNCT
iajs-3241	100	24	''	''	PUNCT
iajs-3241	100	25	phys	phy	NOUN
iajs-3241	100	26	.	.	PUNCT
iajs-3241	101	1	rep	rep	PROPN
iajs-3241	101	2	.	.	PROPN
iajs-3241	101	3	,	,	PUNCT
iajs-3241	101	4	2000	2000	NUM
iajs-3241	101	5	,	,	PUNCT
iajs-3241	101	6	vol	vol	NOUN
iajs-3241	101	7	.	.	PROPN
iajs-3241	101	8	339	339	NUM
iajs-3241	101	9	,	,	PUNCT
iajs-3241	101	10	pp	pp	ADJ
iajs-3241	101	11	.	.	PUNCT
iajs-3241	102	1	1_77	1_77	NUM
iajs-3241	102	2	,	,	PUNCT
iajs-3241	102	3	dec	dec	PROPN
iajs-3241	102	4	..	..	PROPN
iajs-3241	102	5	3	3	X
iajs-3241	102	6	.	.	X
iajs-3241	102	7	d.	d.	PROPN
iajs-3241	102	8	baleanu	baleanu	PROPN
iajs-3241	102	9	and	and	CCONJ
iajs-3241	102	10	j.	j.	PROPN
iajs-3241	102	11	h.	h.	PROPN
iajs-3241	102	12	kamil	kamil	PROPN
iajs-3241	102	13	,	,	PUNCT
iajs-3241	102	14	`	`	PUNCT
iajs-3241	102	15	`	`	PUNCT
iajs-3241	102	16	a	a	DET
iajs-3241	102	17	novel	novel	ADJ
iajs-3241	102	18	approach	approach	NOUN
iajs-3241	102	19	for	for	ADP
iajs-3241	102	20	korteweg	korteweg	NOUN
iajs-3241	102	21	-	-	PUNCT
iajs-3241	102	22	de	de	NOUN
iajs-3241	102	23	vries	vries	PROPN
iajs-3241	102	24	equation	equation	NOUN
iajs-3241	102	25	of	of	ADP
iajs-3241	102	26	fractional	fractional	ADJ
iajs-3241	102	27	order	order	NOUN
iajs-3241	102	28	,	,	PUNCT
iajs-3241	102	29	''	''	PUNCT
iajs-3241	102	30	j.	j.	PROPN
iajs-3241	102	31	appl	appl	PROPN
iajs-3241	102	32	.	.	PUNCT
iajs-3241	103	1	comput	comput	PROPN
iajs-3241	103	2	.	.	PUNCT
iajs-3241	104	1	mech	mech	PROPN
iajs-3241	104	2	.	.	PROPN
iajs-3241	104	3	,	,	PUNCT
iajs-3241	104	4	2019	2019	NUM
iajs-3241	104	5	,	,	PUNCT
iajs-3241	104	6	vol	vol	NOUN
iajs-3241	104	7	.	.	PROPN
iajs-3241	104	8	5	5	NUM
iajs-3241	104	9	,	,	PUNCT
iajs-3241	104	10	no	no	INTJ
iajs-3241	104	11	.	.	NOUN
iajs-3241	104	12	2	2	NUM
iajs-3241	104	13	,	,	PUNCT
iajs-3241	104	14	pp	pp	ADJ
iajs-3241	104	15	.	.	PUNCT
iajs-3241	105	1	192_198	192_198	NUM
iajs-3241	105	2	.	.	PUNCT
iajs-3241	106	1	4	4	X
iajs-3241	106	2	.	.	X
iajs-3241	106	3	h.	h.	PROPN
iajs-3241	106	4	k.	k.	PROPN
iajs-3241	106	5	jassim	jassim	PROPN
iajs-3241	106	6	,	,	PUNCT
iajs-3241	106	7	`	`	PUNCT
iajs-3241	106	8	`	`	PUNCT
iajs-3241	106	9	the	the	DET
iajs-3241	106	10	approximate	approximate	ADJ
iajs-3241	106	11	solutions	solution	NOUN
iajs-3241	106	12	of	of	ADP
iajs-3241	106	13	three	three	NUM
iajs-3241	106	14	-	-	PUNCT
iajs-3241	106	15	dimensional	dimensional	ADJ
iajs-3241	106	16	diffusion	diffusion	NOUN
iajs-3241	106	17	and	and	CCONJ
iajs-3241	106	18	wave	wave	NOUN
iajs-3241	106	19	equations	equation	NOUN
iajs-3241	106	20	within	within	ADP
iajs-3241	106	21	local	local	ADJ
iajs-3241	106	22	fractional	fractional	ADJ
iajs-3241	106	23	derivative	derivative	ADJ
iajs-3241	106	24	operator	operator	NOUN
iajs-3241	106	25	,	,	PUNCT
iajs-3241	106	26	''	''	PUNCT
iajs-3241	106	27	in	in	ADP
iajs-3241	106	28	abstract	abstract	ADJ
iajs-3241	106	29	and	and	CCONJ
iajs-3241	106	30	applied	apply	VERB
iajs-3241	106	31	analysis	analysis	NOUN
iajs-3241	106	32	.	.	PUNCT
iajs-3241	107	1	london	london	PROPN
iajs-3241	107	2	,	,	PUNCT
iajs-3241	107	3	u.k	u.k	PROPN
iajs-3241	107	4	.	.	PROPN
iajs-3241	107	5	:	:	PUNCT
iajs-3241	108	1	hindawi	hindawi	ADJ
iajs-3241	108	2	,	,	PUNCT
iajs-3241	108	3	2016	2016	NUM
iajs-3241	108	4	.	.	PUNCT
iajs-3241	109	1	5	5	NUM
iajs-3241	109	2	.	.	PUNCT
iajs-3241	109	3	h.	h.	PROPN
iajs-3241	109	4	k.	k.	PROPN
iajs-3241	109	5	jassim	jassim	PROPN
iajs-3241	109	6	,	,	PUNCT
iajs-3241	109	7	`	`	PUNCT
iajs-3241	109	8	`	`	PUNCT
iajs-3241	109	9	homotopy	homotopy	VERB
iajs-3241	109	10	perturbation	perturbation	NOUN
iajs-3241	109	11	algorithm	algorithm	NOUN
iajs-3241	109	12	using	use	VERB
iajs-3241	109	13	laplace	laplace	NOUN
iajs-3241	109	14	transform	transform	NOUN
iajs-3241	109	15	for	for	ADP
iajs-3241	109	16	newellwhitehead	newellwhitehead	NOUN
iajs-3241	109	17	-	-	PUNCT
iajs-3241	109	18	segel	segel	NOUN
iajs-3241	109	19	equation	equation	NOUN
iajs-3241	109	20	,	,	PUNCT
iajs-3241	109	21	''	''	PUNCT
iajs-3241	109	22	int	int	NOUN
iajs-3241	109	23	.	.	PUNCT
iajs-3241	110	1	j.	j.	PROPN
iajs-3241	110	2	adv	adv	PROPN
iajs-3241	110	3	.	.	PUNCT
iajs-3241	110	4	appl	appl	PROPN
iajs-3241	110	5	.	.	PROPN
iajs-3241	111	1	math	math	PROPN
iajs-3241	111	2	.	.	PUNCT
iajs-3241	112	1	mech	mech	PROPN
iajs-3241	112	2	.	.	PROPN
iajs-3241	112	3	,	,	PUNCT
iajs-3241	112	4	2015	2015	NUM
iajs-3241	112	5	,	,	PUNCT
iajs-3241	112	6	vol	vol	NOUN
iajs-3241	112	7	.	.	PROPN
iajs-3241	113	1	2	2	NUM
iajs-3241	113	2	,	,	PUNCT
iajs-3241	113	3	no	no	INTJ
iajs-3241	113	4	.	.	NOUN
iajs-3241	113	5	4	4	NUM
iajs-3241	113	6	,	,	PUNCT
iajs-3241	113	7	pp	pp	ADJ
iajs-3241	113	8	.	.	PUNCT
iajs-3241	114	1	8_12	8_12	NUM
iajs-3241	114	2	.	.	PUNCT
iajs-3241	115	1	6	6	NUM
iajs-3241	115	2	.	.	PUNCT
iajs-3241	115	3	f.	f.	PROPN
iajs-3241	115	4	evirgen	evirgen	PROPN
iajs-3241	115	5	,	,	PUNCT
iajs-3241	115	6	`	`	PUNCT
iajs-3241	115	7	`	`	PUNCT
iajs-3241	115	8	analyze	analyze	VERB
iajs-3241	115	9	the	the	DET
iajs-3241	115	10	optimal	optimal	ADJ
iajs-3241	115	11	solutions	solution	NOUN
iajs-3241	115	12	of	of	ADP
iajs-3241	115	13	optimization	optimization	NOUN
iajs-3241	115	14	problems	problem	NOUN
iajs-3241	115	15	by	by	ADP
iajs-3241	115	16	means	mean	NOUN
iajs-3241	115	17	of	of	ADP
iajs-3241	115	18	fractional	fractional	ADJ
iajs-3241	115	19	gradient	gradient	NOUN
iajs-3241	115	20	based	base	VERB
iajs-3241	115	21	system	system	NOUN
iajs-3241	115	22	using	use	VERB
iajs-3241	115	23	vim	vim	NOUN
iajs-3241	115	24	,	,	PUNCT
iajs-3241	115	25	''	''	PUNCT
iajs-3241	115	26	int	int	NOUN
iajs-3241	115	27	.	.	PUNCT
iajs-3241	116	1	j.	j.	PROPN
iajs-3241	116	2	optim.control	optim.control	PROPN
iajs-3241	116	3	,	,	PUNCT
iajs-3241	116	4	theories	theory	NOUN
iajs-3241	116	5	appl	appl	PROPN
iajs-3241	116	6	.	.	PROPN
iajs-3241	116	7	,	,	PUNCT
iajs-3241	116	8	vol	vol	NOUN
iajs-3241	116	9	.	.	PROPN
iajs-3241	116	10	6	6	NUM
iajs-3241	116	11	,	,	PUNCT
iajs-3241	116	12	pp	pp	ADJ
iajs-3241	116	13	.	.	PUNCT
iajs-3241	117	1	75_83	75_83	NUM
iajs-3241	117	2	,	,	PUNCT
iajs-3241	117	3	2016	2016	NUM
iajs-3241	117	4	.	.	PUNCT
iajs-3241	118	1	ihjpas	ihjpas	PROPN
iajs-3241	118	2	.	.	PUNCT
iajs-3241	119	1	36	36	NUM
iajs-3241	119	2	(	(	PUNCT
iajs-3241	119	3	3	3	NUM
iajs-3241	119	4	)	)	PUNCT
iajs-3241	119	5	2023	2023	NUM
iajs-3241	119	6	322	322	NUM
iajs-3241	119	7	7	7	NUM
iajs-3241	119	8	.	.	PUNCT
iajs-3241	119	9	a.	a.	PROPN
iajs-3241	119	10	atangana	atangana	PROPN
iajs-3241	119	11	,	,	PUNCT
iajs-3241	119	12	d.	d.	PROPN
iajs-3241	119	13	boleanu	boleanu	PROPN
iajs-3241	119	14	,	,	PUNCT
iajs-3241	119	15	nonlinear	nonlinear	ADJ
iajs-3241	119	16	fractional	fractional	ADJ
iajs-3241	119	17	jaulent	jaulent	NOUN
iajs-3241	119	18	-	-	PUNCT
iajs-3241	119	19	miodek	miodek	PROPN
iajs-3241	119	20	and	and	CCONJ
iajs-3241	119	21	whitham	whitham	NOUN
iajs-3241	119	22	-	-	PUNCT
iajs-3241	119	23	broer	broer	NOUN
iajs-3241	119	24	-	-	PUNCT
iajs-3241	119	25	kaup	kaup	PROPN
iajs-3241	119	26	equations	equation	NOUN
iajs-3241	119	27	within	within	ADP
iajs-3241	119	28	sumudu	sumudu	NOUN
iajs-3241	119	29	transform	transform	NOUN
iajs-3241	119	30	,	,	PUNCT
iajs-3241	119	31	abstr	abstr	PROPN
iajs-3241	119	32	.	.	PUNCT
iajs-3241	120	1	appl	appl	PROPN
iajs-3241	120	2	.	.	PUNCT
iajs-3241	121	1	anal	anal	PROPN
iajs-3241	121	2	.	.	PROPN
iajs-3241	121	3	,	,	PUNCT
iajs-3241	121	4	2013	2013	NUM
iajs-3241	121	5	.	.	PUNCT
iajs-3241	122	1	8	8	NUM
iajs-3241	122	2	.	.	PUNCT
iajs-3241	122	3	s.	s.	PROPN
iajs-3241	122	4	s.	s.	PROPN
iajs-3241	122	5	ray	ray	PROPN
iajs-3241	122	6	,	,	PUNCT
iajs-3241	122	7	r.	r.	PROPN
iajs-3241	122	8	k.	k.	PROPN
iajs-3241	122	9	bera	bera	PROPN
iajs-3241	122	10	,	,	PUNCT
iajs-3241	122	11	an	an	DET
iajs-3241	122	12	approximate	approximate	ADJ
iajs-3241	122	13	solution	solution	NOUN
iajs-3241	122	14	of	of	ADP
iajs-3241	122	15	a	a	DET
iajs-3241	122	16	nonlinear	nonlinear	ADJ
iajs-3241	122	17	fractional	fractional	ADJ
iajs-3241	122	18	differential	differential	NOUN
iajs-3241	122	19	equation	equation	NOUN
iajs-3241	122	20	by	by	ADP
iajs-3241	122	21	adomian	adomian	NOUN
iajs-3241	122	22	decomposition	decomposition	NOUN
iajs-3241	122	23	method	method	NOUN
iajs-3241	122	24	,	,	PUNCT
iajs-3241	122	25	appl	appl	PROPN
iajs-3241	122	26	.	.	PROPN
iajs-3241	122	27	math	math	PROPN
iajs-3241	122	28	.	.	PUNCT
iajs-3241	123	1	comput	comput	NOUN
iajs-3241	123	2	.	.	PUNCT
iajs-3241	123	3	,	,	PUNCT
iajs-3241	123	4	167	167	NUM
iajs-3241	123	5	(	(	PUNCT
iajs-3241	123	6	2005	2005	NUM
iajs-3241	123	7	)	)	PUNCT
iajs-3241	123	8	.	.	PUNCT
iajs-3241	124	1	9	9	X
iajs-3241	124	2	.	.	X
iajs-3241	124	3	javeed	javeed	NOUN
iajs-3241	124	4	,	,	PUNCT
iajs-3241	124	5	s.	s.	PROPN
iajs-3241	124	6	;	;	PUNCT
iajs-3241	124	7	baleanu	baleanu	PROPN
iajs-3241	124	8	,	,	PUNCT
iajs-3241	124	9	d.	d.	PROPN
iajs-3241	124	10	;	;	PUNCT
iajs-3241	124	11	waheed	waheed	PROPN
iajs-3241	124	12	,	,	PUNCT
iajs-3241	124	13	a.	a.	PROPN
iajs-3241	124	14	;	;	PUNCT
iajs-3241	124	15	khan	khan	PROPN
iajs-3241	124	16	,	,	PUNCT
iajs-3241	124	17	m.s	m.s	PROPN
iajs-3241	124	18	.	.	PROPN
iajs-3241	124	19	;	;	PUNCT
iajs-3241	124	20	affan	affan	PROPN
iajs-3241	124	21	,	,	PUNCT
iajs-3241	124	22	h.	h.	NOUN
iajs-3241	124	23	analysis	analysis	NOUN
iajs-3241	124	24	of	of	ADP
iajs-3241	124	25	homotopyperturbation	homotopyperturbation	NOUN
iajs-3241	124	26	method	method	NOUN
iajs-3241	124	27	for	for	ADP
iajs-3241	124	28	solving	solve	VERB
iajs-3241	124	29	fractional	fractional	ADJ
iajs-3241	124	30	order	order	NOUN
iajs-3241	124	31	differential	differential	NOUN
iajs-3241	124	32	equations	equation	NOUN
iajs-3241	124	33	.	.	PUNCT
iajs-3241	125	1	mathematics	mathematic	NOUN
iajs-3241	125	2	2019	2019	NUM
iajs-3241	125	3	,	,	PUNCT
iajs-3241	125	4	7	7	NUM
iajs-3241	125	5	,	,	PUNCT
iajs-3241	125	6	40	40	NUM
iajs-3241	125	7	.	.	PUNCT
iajs-3241	125	8	10	10	NUM
iajs-3241	125	9	.	.	X
iajs-3241	125	10	ali	ali	PROPN
iajs-3241	125	11	,	,	PUNCT
iajs-3241	125	12	h.m	h.m	PROPN
iajs-3241	125	13	.	.	PROPN
iajs-3241	126	1	an	an	DET
iajs-3241	126	2	efficient	efficient	ADJ
iajs-3241	126	3	approximate	approximate	ADJ
iajs-3241	126	4	-	-	PUNCT
iajs-3241	126	5	analytical	analytical	ADJ
iajs-3241	126	6	method	method	NOUN
iajs-3241	126	7	to	to	PART
iajs-3241	126	8	solve	solve	VERB
iajs-3241	126	9	time	time	NOUN
iajs-3241	126	10	-	-	PUNCT
iajs-3241	126	11	fractional	fractional	ADJ
iajs-3241	126	12	kdv	kdv	NOUN
iajs-3241	126	13	and	and	CCONJ
iajs-3241	126	14	kdvb	kdvb	ADJ
iajs-3241	126	15	equations	equation	NOUN
iajs-3241	126	16	.	.	PUNCT
iajs-3241	127	1	inf	inf	PROPN
iajs-3241	127	2	.	.	PUNCT
iajs-3241	128	1	sci	sci	PROPN
iajs-3241	128	2	.	.	PUNCT
iajs-3241	128	3	lett	lett	PROPN
iajs-3241	128	4	.	.	PUNCT
iajs-3241	129	1	2020	2020	NUM
iajs-3241	129	2	,	,	PUNCT
iajs-3241	129	3	9	9	NUM
iajs-3241	129	4	,	,	PUNCT
iajs-3241	129	5	189–198	189–198	NUM
iajs-3241	129	6	.	.	PUNCT
iajs-3241	130	1	11	11	NUM
iajs-3241	130	2	.	.	PUNCT
iajs-3241	131	1	hh	hh	PROPN
iajs-3241	131	2	omran	omran	NOUN
iajs-3241	131	3	,	,	PUNCT
iajs-3241	131	4	solutins	solutin	NOUN
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iajs-3241	131	6	systems	system	NOUN
iajs-3241	131	7	for	for	ADP
iajs-3241	131	8	the	the	DET
iajs-3241	131	9	linear	linear	PROPN
iajs-3241	131	10	fredholm	fredholm	NOUN
iajs-3241	131	11	-	-	PUNCT
iajs-3241	131	12	volterra	volterra	NOUN
iajs-3241	131	13	integral	integral	ADJ
iajs-3241	131	14	equations	equation	NOUN
iajs-3241	131	15	of	of	ADP
iajs-3241	131	16	the	the	DET
iajs-3241	131	17	second	second	ADJ
iajs-3241	131	18	kind	kind	NOUN
iajs-3241	131	19	,	,	PUNCT
iajs-3241	131	20	ibn	ibn	PROPN
iajs-3241	131	21	al	al	PROPN
iajs-3241	131	22	-	-	PUNCT
iajs-3241	131	23	haitham	haitham	PROPN
iajs-3241	131	24	journal	journal	PROPN
iajs-3241	131	25	for	for	ADP
iajs-3241	131	26	pure	pure	ADJ
iajs-3241	131	27	and	and	CCONJ
iajs-3241	131	28	applied	applied	ADJ
iajs-3241	131	29	science	science	NOUN
iajs-3241	131	30	,	,	PUNCT
iajs-3241	131	31	2017	2017	NUM
iajs-3241	131	32	,	,	PUNCT
iajs-3241	131	33	23,2,200	23,2,200	NUM
iajs-3241	131	34	-	-	SYM
iajs-3241	131	35	206	206	NUM
iajs-3241	131	36	.	.	PUNCT
iajs-3241	132	1	12	12	NUM
iajs-3241	132	2	.	.	PUNCT
iajs-3241	133	1	maad	maad	PROPN
iajs-3241	133	2	g.m	g.m	PROPN
iajs-3241	133	3	and	and	CCONJ
iajs-3241	133	4	huda	huda	PROPN
iajs-3241	133	5	omran	omran	PROPN
iajs-3241	133	6	altaie	altaie	PROPN
iajs-3241	133	7	,	,	PUNCT
iajs-3241	133	8	study	study	NOUN
iajs-3241	133	9	on	on	ADP
iajs-3241	133	10	approximate	approximate	ADJ
iajs-3241	133	11	analytical	analytical	ADJ
iajs-3241	133	12	methods	method	NOUN
iajs-3241	133	13	for	for	ADP
iajs-3241	133	14	nonlinear	nonlinear	ADJ
iajs-3241	133	15	differential	differential	ADJ
iajs-3241	133	16	equations	equation	NOUN
iajs-3241	133	17	,	,	PUNCT
iajs-3241	133	18	journal	journal	NOUN
iajs-3241	133	19	of	of	ADP
iajs-3241	133	20	interdisciplinary	interdisciplinary	ADJ
iajs-3241	133	21	mathematics	mathematic	NOUN
iajs-3241	133	22	,	,	PUNCT
iajs-3241	133	23	2022	2022	NUM
iajs-3241	133	24	,	,	PUNCT
iajs-3241	133	25	vol	vol	NOUN
iajs-3241	133	26	25,issue	25,issue	NUM
iajs-3241	133	27	8	8	NUM
iajs-3241	133	28	.	.	NOUN
iajs-3241	133	29	13	13	NUM
iajs-3241	133	30	.	.	X
iajs-3241	133	31	13	13	NUM
iajs-3241	133	32	.	.	PUNCT
iajs-3241	134	1	maad	maad	PROPN
iajs-3241	134	2	g.m	g.m	PROPN
iajs-3241	134	3	and	and	CCONJ
iajs-3241	134	4	huda	huda	PROPN
iajs-3241	134	5	omran	omran	PROPN
iajs-3241	134	6	altaie	altaie	PROPN
iajs-3241	134	7	,	,	PUNCT
iajs-3241	134	8	efficient	efficient	ADJ
iajs-3241	134	9	analytical	analytical	ADJ
iajs-3241	134	10	method	method	NOUN
iajs-3241	134	11	for	for	ADP
iajs-3241	134	12	the	the	DET
iajs-3241	134	13	solution	solution	NOUN
iajs-3241	134	14	of	of	ADP
iajs-3241	134	15	some	some	DET
iajs-3241	134	16	fractional	fractional	ADJ
iajs-3241	134	17	-order	-order	PROPN
iajs-3241	134	18	nonlinear	nonlinear	PROPN
iajs-3241	134	19	differential	differential	ADJ
iajs-3241	134	20	equations	equation	NOUN
iajs-3241	134	21	,	,	PUNCT
iajs-3241	134	22	international	international	ADJ
iajs-3241	134	23	journal	journal	NOUN
iajs-3241	134	24	of	of	ADP
iajs-3241	134	25	nonlinear	nonlinear	ADJ
iajs-3241	134	26	analysis	analysis	NOUN
iajs-3241	134	27	and	and	CCONJ
iajs-3241	134	28	applications	application	NOUN
iajs-3241	134	29	,	,	PUNCT
iajs-3241	134	30	july	july	PROPN
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iajs-3241	134	32	.	.	PUNCT
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iajs-3241	135	2	.	.	PUNCT
iajs-3241	136	1	maad	maad	PROPN
iajs-3241	136	2	g.m	g.m	PROPN
iajs-3241	136	3	and	and	CCONJ
iajs-3241	136	4	huda	huda	PROPN
iajs-3241	136	5	omran	omran	PROPN
iajs-3241	136	6	altaie	altaie	PROPN
iajs-3241	136	7	,	,	PUNCT
iajs-3241	136	8	a	a	DET
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iajs-3241	136	11	for	for	ADP
iajs-3241	136	12	solving	solve	VERB
iajs-3241	136	13	fractional	fractional	ADJ
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iajs-3241	136	15	equations	equation	NOUN
iajs-3241	136	16	by	by	ADP
iajs-3241	136	17	sumudu	sumudu	NOUN
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iajs-3241	136	19	and	and	CCONJ
iajs-3241	136	20	adomian	adomian	NOUN
iajs-3241	136	21	decomposition	decomposition	NOUN
iajs-3241	136	22	method	method	NOUN
iajs-3241	136	23	,	,	PUNCT
iajs-3241	136	24	ibn	ibn	PROPN
iajs-3241	136	25	al	al	PROPN
iajs-3241	136	26	-	-	PUNCT
iajs-3241	136	27	haitham	haitham	PROPN
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iajs-3241	136	29	for	for	ADP
iajs-3241	136	30	pure	pure	ADJ
iajs-3241	136	31	and	and	CCONJ
iajs-3241	136	32	applied	applied	ADJ
iajs-3241	136	33	sciences	science	NOUN
iajs-3241	136	34	,	,	PUNCT
iajs-3241	136	35	,	,	PUNCT
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iajs-3241	136	39	.	.	PUNCT
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iajs-3241	137	2	.	.	PUNCT
iajs-3241	138	1	huda	huda	PROPN
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iajs-3241	138	8	for	for	ADP
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iajs-3241	138	10	non	non	ADJ
iajs-3241	138	11	-	-	ADJ
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iajs-3241	138	14	-	-	PUNCT
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iajs-3241	138	17	,	,	PUNCT
iajs-3241	138	18	international	international	ADJ
iajs-3241	138	19	journal	journal	NOUN
iajs-3241	138	20	of	of	ADP
iajs-3241	138	21	nonlinear	nonlinear	ADJ
iajs-3241	138	22	analysis	analysis	NOUN
iajs-3241	138	23	and	and	CCONJ
iajs-3241	138	24	applications	application	NOUN
iajs-3241	138	25	,	,	PUNCT
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iajs-3241	138	30	,	,	PUNCT
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iajs-3241	138	32	-	-	SYM
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iajs-3241	138	34	.	.	PUNCT
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iajs-3241	139	26	.	.	PUNCT
iajs-3241	140	1	j.	j.	PROPN
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iajs-3241	141	1	appl	appl	PROPN
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iajs-3241	142	2	(	(	PUNCT
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iajs-3241	142	4	)	)	PUNCT
iajs-3241	142	5	.	.	PUNCT
iajs-3241	143	1	17	17	NUM
iajs-3241	143	2	.	.	X
iajs-3241	144	1	maad	maad	PROPN
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iajs-3241	144	4	,	,	PUNCT
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iajs-3241	144	6	-	-	PUNCT
iajs-3241	144	7	analytical	analytical	ADJ
iajs-3241	144	8	methods	method	NOUN
iajs-3241	144	9	for	for	ADP
iajs-3241	144	10	solving	solve	VERB
iajs-3241	144	11	non	non	ADJ
iajs-3241	144	12	linear	linear	PROPN
iajs-3241	144	13	equations	equation	NOUN
iajs-3241	144	14	with	with	ADP
iajs-3241	144	15	its	its	PRON
iajs-3241	144	16	applications	application	NOUN
iajs-3241	144	17	,	,	PUNCT
iajs-3241	144	18	thesis	thesis	NOUN
iajs-3241	144	19	,	,	PUNCT
iajs-3241	144	20	2022	2022	NUM
iajs-3241	144	21	.	.	PUNCT
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iajs-3241	145	4	https://ijnaa.semnan.ac.ir/	https://ijnaa.semnan.ac.ir/	PROPN
iajs-3241	146	1	https://jih.uobaghdad.edu.iq/index.php/j/home_page	https://jih.uobaghdad.edu.iq/index.php/j/home_page	PROPN
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