id	sid	tid	token	lemma	pos
ejpam-1172	1	1	4_xxx_ibis.dvi	4_xxx_ibis.dvi	NUM
ejpam-1172	1	2	european	european	ADJ
ejpam-1172	1	3	journal	journal	NOUN
ejpam-1172	1	4	of	of	ADP
ejpam-1172	1	5	pure	pure	ADJ
ejpam-1172	1	6	and	and	CCONJ
ejpam-1172	1	7	applied	apply	VERB
ejpam-1172	1	8	mathematics	mathematic	NOUN
ejpam-1172	1	9	vol	vol	NOUN
ejpam-1172	1	10	.	.	PROPN
ejpam-1172	1	11	4	4	NUM
ejpam-1172	1	12	,	,	PUNCT
ejpam-1172	1	13	no	no	INTJ
ejpam-1172	1	14	.	.	NOUN
ejpam-1172	1	15	2	2	NUM
ejpam-1172	1	16	,	,	PUNCT
ejpam-1172	1	17	2011	2011	NUM
ejpam-1172	1	18	,	,	PUNCT
ejpam-1172	1	19	129	129	NUM
ejpam-1172	1	20	-	-	SYM
ejpam-1172	1	21	141	141	NUM
ejpam-1172	1	22	issn	issn	PROPN
ejpam-1172	1	23	1307	1307	NUM
ejpam-1172	1	24	-	-	SYM
ejpam-1172	1	25	5543	5543	NUM
ejpam-1172	1	26	–	–	PUNCT
ejpam-1172	1	27	www.ejpam.com	www.ejpam.com	X
ejpam-1172	1	28	applications	application	NOUN
ejpam-1172	1	29	of	of	ADP
ejpam-1172	1	30	fractional	fractional	ADJ
ejpam-1172	1	31	differential	differential	NOUN
ejpam-1172	1	32	transform	transform	NOUN
ejpam-1172	1	33	method	method	NOUN
ejpam-1172	1	34	to	to	PART
ejpam-1172	1	35	fractional	fractional	VERB
ejpam-1172	1	36	differential	differential	ADJ
ejpam-1172	1	37	-	-	PUNCT
ejpam-1172	1	38	algebraic	algebraic	ADJ
ejpam-1172	1	39	equations	equation	NOUN
ejpam-1172	1	40	birol	birol	VERB
ejpam-1172	1	41	i̇bi̧s1,∗	i̇bi̧s1,∗	PROPN
ejpam-1172	1	42	,	,	PUNCT
ejpam-1172	1	43	mustafa	mustafa	PROPN
ejpam-1172	1	44	bayram2	bayram2	PROPN
ejpam-1172	1	45	,	,	PUNCT
ejpam-1172	1	46	a.	a.	PROPN
ejpam-1172	1	47	göksel	göksel	PROPN
ejpam-1172	1	48	ağargün3	ağargün3	PROPN
ejpam-1172	1	49	1	1	NUM
ejpam-1172	1	50	department	department	NOUN
ejpam-1172	1	51	of	of	ADP
ejpam-1172	1	52	main	main	ADJ
ejpam-1172	1	53	sciences	science	NOUN
ejpam-1172	1	54	,	,	PUNCT
ejpam-1172	1	55	turkish	turkish	ADJ
ejpam-1172	1	56	air	air	PROPN
ejpam-1172	1	57	force	force	PROPN
ejpam-1172	1	58	academy	academy	PROPN
ejpam-1172	1	59	,	,	PUNCT
ejpam-1172	1	60	istanbul	istanbul	PROPN
ejpam-1172	1	61	,	,	PUNCT
ejpam-1172	1	62	turkey	turkey	PROPN
ejpam-1172	1	63	2	2	NUM
ejpam-1172	1	64	mathematical	mathematical	ADJ
ejpam-1172	1	65	engineering	engineering	NOUN
ejpam-1172	1	66	,	,	PUNCT
ejpam-1172	1	67	faculty	faculty	NOUN
ejpam-1172	1	68	of	of	ADP
ejpam-1172	1	69	chemical	chemical	ADJ
ejpam-1172	1	70	and	and	CCONJ
ejpam-1172	1	71	metallurgical	metallurgical	ADJ
ejpam-1172	1	72	engineering	engineering	NOUN
ejpam-1172	1	73	,	,	PUNCT
ejpam-1172	1	74	yıldız	yıldız	PROPN
ejpam-1172	1	75	technical	technical	PROPN
ejpam-1172	1	76	university	university	PROPN
ejpam-1172	1	77	,	,	PUNCT
ejpam-1172	1	78	istanbul	istanbul	PROPN
ejpam-1172	1	79	,	,	PUNCT
ejpam-1172	1	80	turkey	turkey	PROPN
ejpam-1172	1	81	3	3	NUM
ejpam-1172	1	82	department	department	NOUN
ejpam-1172	1	83	of	of	ADP
ejpam-1172	1	84	mathematics	mathematic	NOUN
ejpam-1172	1	85	,	,	PUNCT
ejpam-1172	1	86	faculty	faculty	NOUN
ejpam-1172	1	87	of	of	ADP
ejpam-1172	1	88	art	art	NOUN
ejpam-1172	1	89	and	and	CCONJ
ejpam-1172	1	90	sciences	science	NOUN
ejpam-1172	1	91	,	,	PUNCT
ejpam-1172	1	92	yıldız	yıldız	PROPN
ejpam-1172	1	93	technical	technical	PROPN
ejpam-1172	1	94	university	university	PROPN
ejpam-1172	1	95	,	,	PUNCT
ejpam-1172	1	96	istanbul	istanbul	PROPN
ejpam-1172	1	97	,	,	PUNCT
ejpam-1172	1	98	turkey	turkey	PROPN
ejpam-1172	1	99	abstract	abstract	NOUN
ejpam-1172	1	100	.	.	PUNCT
ejpam-1172	2	1	in	in	ADP
ejpam-1172	2	2	this	this	DET
ejpam-1172	2	3	paper	paper	NOUN
ejpam-1172	2	4	,	,	PUNCT
ejpam-1172	2	5	we	we	PRON
ejpam-1172	2	6	implement	implement	VERB
ejpam-1172	2	7	fractional	fractional	ADJ
ejpam-1172	2	8	differential	differential	NOUN
ejpam-1172	2	9	transform	transform	NOUN
ejpam-1172	2	10	method	method	NOUN
ejpam-1172	2	11	(	(	PUNCT
ejpam-1172	2	12	fdtm	fdtm	NOUN
ejpam-1172	2	13	)	)	PUNCT
ejpam-1172	2	14	,	,	PUNCT
ejpam-1172	2	15	which	which	PRON
ejpam-1172	2	16	is	be	AUX
ejpam-1172	2	17	a	a	DET
ejpam-1172	2	18	semi	semi	ADJ
ejpam-1172	2	19	analytical	analytical	ADJ
ejpam-1172	2	20	numerical	numerical	ADJ
ejpam-1172	2	21	technique	technique	NOUN
ejpam-1172	2	22	,	,	PUNCT
ejpam-1172	2	23	to	to	ADP
ejpam-1172	2	24	fractional	fractional	ADJ
ejpam-1172	2	25	differential	differential	ADJ
ejpam-1172	2	26	-	-	PUNCT
ejpam-1172	2	27	algebraic	algebraic	ADJ
ejpam-1172	2	28	equations	equation	NOUN
ejpam-1172	2	29	(	(	PUNCT
ejpam-1172	2	30	fdaes	fdaes	NOUN
ejpam-1172	2	31	)	)	PUNCT
ejpam-1172	2	32	.	.	PUNCT
ejpam-1172	3	1	the	the	DET
ejpam-1172	3	2	fractional	fractional	ADJ
ejpam-1172	3	3	derivatives	derivative	NOUN
ejpam-1172	3	4	are	be	AUX
ejpam-1172	3	5	described	describe	VERB
ejpam-1172	3	6	in	in	ADP
ejpam-1172	3	7	the	the	DET
ejpam-1172	3	8	caputo	caputo	PROPN
ejpam-1172	3	9	sense	sense	NOUN
ejpam-1172	3	10	.	.	PUNCT
ejpam-1172	4	1	the	the	DET
ejpam-1172	4	2	method	method	NOUN
ejpam-1172	4	3	provides	provide	VERB
ejpam-1172	4	4	the	the	DET
ejpam-1172	4	5	solution	solution	NOUN
ejpam-1172	4	6	in	in	ADP
ejpam-1172	4	7	the	the	DET
ejpam-1172	4	8	form	form	NOUN
ejpam-1172	4	9	of	of	ADP
ejpam-1172	4	10	a	a	DET
ejpam-1172	4	11	rapidly	rapidly	ADV
ejpam-1172	4	12	convergent	convergent	ADJ
ejpam-1172	4	13	series	series	NOUN
ejpam-1172	4	14	.	.	PUNCT
ejpam-1172	5	1	the	the	DET
ejpam-1172	5	2	method	method	NOUN
ejpam-1172	5	3	is	be	AUX
ejpam-1172	5	4	illustrated	illustrate	VERB
ejpam-1172	5	5	by	by	ADP
ejpam-1172	5	6	four	four	NUM
ejpam-1172	5	7	examples	example	NOUN
ejpam-1172	5	8	of	of	ADP
ejpam-1172	5	9	fdaes	fdae	NOUN
ejpam-1172	5	10	and	and	CCONJ
ejpam-1172	5	11	solutions	solution	NOUN
ejpam-1172	5	12	are	be	AUX
ejpam-1172	5	13	obtained	obtain	VERB
ejpam-1172	5	14	.	.	PUNCT
ejpam-1172	6	1	comparisons	comparison	NOUN
ejpam-1172	6	2	are	be	AUX
ejpam-1172	6	3	made	make	VERB
ejpam-1172	6	4	between	between	ADP
ejpam-1172	6	5	fractional	fractional	ADJ
ejpam-1172	6	6	differential	differential	ADJ
ejpam-1172	6	7	transform	transform	NOUN
ejpam-1172	6	8	method	method	NOUN
ejpam-1172	6	9	(	(	PUNCT
ejpam-1172	6	10	fdtm	fdtm	NOUN
ejpam-1172	6	11	)	)	PUNCT
ejpam-1172	6	12	,	,	PUNCT
ejpam-1172	6	13	homotopy	homotopy	VERB
ejpam-1172	6	14	analysis	analysis	NOUN
ejpam-1172	6	15	method	method	NOUN
ejpam-1172	6	16	(	(	PUNCT
ejpam-1172	6	17	ham	ham	NOUN
ejpam-1172	6	18	)	)	PUNCT
ejpam-1172	6	19	and	and	CCONJ
ejpam-1172	6	20	the	the	DET
ejpam-1172	6	21	exact	exact	ADJ
ejpam-1172	6	22	solutions	solution	NOUN
ejpam-1172	6	23	.	.	PUNCT
ejpam-1172	7	1	the	the	DET
ejpam-1172	7	2	results	result	NOUN
ejpam-1172	7	3	reveal	reveal	VERB
ejpam-1172	7	4	that	that	SCONJ
ejpam-1172	7	5	the	the	DET
ejpam-1172	7	6	proposed	propose	VERB
ejpam-1172	7	7	method	method	NOUN
ejpam-1172	7	8	is	be	AUX
ejpam-1172	7	9	very	very	ADV
ejpam-1172	7	10	effective	effective	ADJ
ejpam-1172	7	11	and	and	CCONJ
ejpam-1172	7	12	simple	simple	ADJ
ejpam-1172	7	13	.	.	PUNCT
ejpam-1172	8	1	2000	2000	NUM
ejpam-1172	8	2	mathematics	mathematic	NOUN
ejpam-1172	8	3	subject	subject	NOUN
ejpam-1172	8	4	classifications	classification	NOUN
ejpam-1172	8	5	:	:	PUNCT
ejpam-1172	8	6	4a08,34k28,34b05,34b15,65l10,74s30	4a08,34k28,34b05,34b15,65l10,74s30	NUM
ejpam-1172	8	7	key	key	ADJ
ejpam-1172	8	8	words	word	NOUN
ejpam-1172	8	9	and	and	CCONJ
ejpam-1172	8	10	phrases	phrase	NOUN
ejpam-1172	8	11	:	:	PUNCT
ejpam-1172	8	12	fractional	fractional	ADJ
ejpam-1172	8	13	differential	differential	ADJ
ejpam-1172	8	14	transform	transform	NOUN
ejpam-1172	8	15	method	method	NOUN
ejpam-1172	8	16	(	(	PUNCT
ejpam-1172	8	17	fdtm	fdtm	NOUN
ejpam-1172	8	18	)	)	PUNCT
ejpam-1172	8	19	,	,	PUNCT
ejpam-1172	8	20	fractional	fractional	ADJ
ejpam-1172	8	21	differentialalgebraic	differentialalgebraic	ADJ
ejpam-1172	8	22	equations	equation	NOUN
ejpam-1172	8	23	(	(	PUNCT
ejpam-1172	8	24	fdaes	fdaes	NOUN
ejpam-1172	8	25	)	)	PUNCT
ejpam-1172	8	26	,	,	PUNCT
ejpam-1172	8	27	caputo	caputo	PROPN
ejpam-1172	8	28	,	,	PUNCT
ejpam-1172	8	29	homotopy	homotopy	VERB
ejpam-1172	8	30	analysis	analysis	NOUN
ejpam-1172	8	31	method	method	NOUN
ejpam-1172	8	32	(	(	PUNCT
ejpam-1172	8	33	ham	ham	NOUN
ejpam-1172	8	34	)	)	PUNCT
ejpam-1172	8	35	1	1	NUM
ejpam-1172	8	36	.	.	X
ejpam-1172	9	1	introduction	introduction	NOUN
ejpam-1172	9	2	fractional	fractional	ADJ
ejpam-1172	9	3	differential	differential	ADJ
ejpam-1172	9	4	equations	equation	NOUN
ejpam-1172	9	5	(	(	PUNCT
ejpam-1172	9	6	fdes	fde	NOUN
ejpam-1172	9	7	)	)	PUNCT
ejpam-1172	9	8	have	have	AUX
ejpam-1172	9	9	been	be	AUX
ejpam-1172	9	10	succesfully	succesfully	ADV
ejpam-1172	9	11	modelled	model	VERB
ejpam-1172	9	12	for	for	ADP
ejpam-1172	9	13	many	many	ADJ
ejpam-1172	9	14	physical	physical	ADJ
ejpam-1172	9	15	and	and	CCONJ
ejpam-1172	9	16	engineering	engineering	NOUN
ejpam-1172	9	17	phenomena	phenomenon	NOUN
ejpam-1172	9	18	such	such	ADJ
ejpam-1172	9	19	as	as	ADP
ejpam-1172	9	20	seismic	seismic	ADJ
ejpam-1172	9	21	analysis	analysis	NOUN
ejpam-1172	9	22	,	,	PUNCT
ejpam-1172	9	23	rheology	rheology	NOUN
ejpam-1172	9	24	,	,	PUNCT
ejpam-1172	9	25	fluid	fluid	ADJ
ejpam-1172	9	26	flow	flow	NOUN
ejpam-1172	9	27	,	,	PUNCT
ejpam-1172	9	28	viscous	viscous	ADJ
ejpam-1172	9	29	damping	damping	NOUN
ejpam-1172	9	30	,	,	PUNCT
ejpam-1172	9	31	viscoelastic	viscoelastic	ADJ
ejpam-1172	9	32	materials	material	NOUN
ejpam-1172	9	33	and	and	CCONJ
ejpam-1172	9	34	polymer	polymer	NOUN
ejpam-1172	9	35	physics	physics	NOUN
ejpam-1172	9	36	[	[	X
ejpam-1172	9	37	9	9	NUM
ejpam-1172	9	38	,	,	PUNCT
ejpam-1172	9	39	2	2	NUM
ejpam-1172	9	40	,	,	PUNCT
ejpam-1172	9	41	31	31	NUM
ejpam-1172	9	42	,	,	PUNCT
ejpam-1172	9	43	16	16	NUM
ejpam-1172	9	44	,	,	PUNCT
ejpam-1172	9	45	32	32	NUM
ejpam-1172	9	46	,	,	PUNCT
ejpam-1172	9	47	3	3	NUM
ejpam-1172	9	48	]	]	PUNCT
ejpam-1172	9	49	.	.	PUNCT
ejpam-1172	10	1	most	most	ADJ
ejpam-1172	10	2	nonlinear	nonlinear	ADJ
ejpam-1172	10	3	fdes	fde	NOUN
ejpam-1172	10	4	do	do	AUX
ejpam-1172	10	5	n’t	not	PART
ejpam-1172	10	6	have	have	VERB
ejpam-1172	10	7	exact	exact	ADJ
ejpam-1172	10	8	analytic	analytic	ADJ
ejpam-1172	10	9	solutions	solution	NOUN
ejpam-1172	10	10	,	,	PUNCT
ejpam-1172	10	11	therefore	therefore	ADV
ejpam-1172	10	12	approximation	approximation	NOUN
ejpam-1172	10	13	and	and	CCONJ
ejpam-1172	10	14	numerical	numerical	ADJ
ejpam-1172	10	15	techniques	technique	NOUN
ejpam-1172	10	16	must	must	AUX
ejpam-1172	10	17	be	be	AUX
ejpam-1172	10	18	used	use	VERB
ejpam-1172	10	19	.	.	PUNCT
ejpam-1172	11	1	some	some	PRON
ejpam-1172	11	2	of	of	ADP
ejpam-1172	11	3	the	the	DET
ejpam-1172	11	4	recent	recent	ADJ
ejpam-1172	11	5	analytic	analytic	ADJ
ejpam-1172	11	6	methods	method	NOUN
ejpam-1172	11	7	for	for	ADP
ejpam-1172	11	8	solving	solve	VERB
ejpam-1172	11	9	nonlinear	nonlinear	ADJ
ejpam-1172	11	10	problems	problem	NOUN
ejpam-1172	11	11	include	include	VERB
ejpam-1172	11	12	the	the	DET
ejpam-1172	11	13	adomian	adomian	NOUN
ejpam-1172	11	14	decomposition	decomposition	NOUN
ejpam-1172	11	15	method	method	NOUN
ejpam-1172	11	16	(	(	PUNCT
ejpam-1172	11	17	adm	adm	PROPN
ejpam-1172	11	18	)	)	PUNCT
ejpam-1172	12	1	[	[	X
ejpam-1172	12	2	12	12	NUM
ejpam-1172	12	3	,	,	PUNCT
ejpam-1172	12	4	11	11	NUM
ejpam-1172	12	5	,	,	PUNCT
ejpam-1172	12	6	30	30	NUM
ejpam-1172	12	7	,	,	PUNCT
ejpam-1172	12	8	38	38	NUM
ejpam-1172	12	9	,	,	PUNCT
ejpam-1172	12	10	35	35	NUM
ejpam-1172	12	11	,	,	PUNCT
ejpam-1172	12	12	14	14	NUM
ejpam-1172	12	13	]	]	PUNCT
ejpam-1172	12	14	,	,	PUNCT
ejpam-1172	12	15	variational	variational	ADJ
ejpam-1172	12	16	iteration	iteration	NOUN
ejpam-1172	12	17	method	method	NOUN
ejpam-1172	12	18	(	(	PUNCT
ejpam-1172	12	19	vim	vim	NOUN
ejpam-1172	12	20	)	)	PUNCT
ejpam-1172	13	1	[	[	X
ejpam-1172	13	2	18	18	NUM
ejpam-1172	13	3	,	,	PUNCT
ejpam-1172	13	4	19	19	NUM
ejpam-1172	13	5	,	,	PUNCT
ejpam-1172	13	6	42	42	NUM
ejpam-1172	13	7	,	,	PUNCT
ejpam-1172	13	8	36	36	NUM
ejpam-1172	13	9	,	,	PUNCT
ejpam-1172	13	10	33	33	NUM
ejpam-1172	13	11	]	]	PUNCT
ejpam-1172	13	12	,	,	PUNCT
ejpam-1172	13	13	homotopy	homotopy	VERB
ejpam-1172	13	14	analysis	analysis	NOUN
ejpam-1172	13	15	method	method	NOUN
ejpam-1172	13	16	(	(	PUNCT
ejpam-1172	13	17	ham	ham	NOUN
ejpam-1172	13	18	)	)	PUNCT
ejpam-1172	14	1	[	[	X
ejpam-1172	14	2	34	34	NUM
ejpam-1172	14	3	,	,	PUNCT
ejpam-1172	14	4	13	13	NUM
ejpam-1172	14	5	,	,	PUNCT
ejpam-1172	14	6	40	40	NUM
ejpam-1172	14	7	,	,	PUNCT
ejpam-1172	14	8	37	37	NUM
ejpam-1172	14	9	,	,	PUNCT
ejpam-1172	14	10	27	27	NUM
ejpam-1172	14	11	]	]	PUNCT
ejpam-1172	14	12	and	and	CCONJ
ejpam-1172	14	13	fractional	fractional	ADJ
ejpam-1172	14	14	method	method	NOUN
ejpam-1172	14	15	[	[	X
ejpam-1172	14	16	17	17	NUM
ejpam-1172	14	17	]	]	PUNCT
ejpam-1172	14	18	.	.	PUNCT
ejpam-1172	15	1	among	among	ADP
ejpam-1172	15	2	these	these	DET
ejpam-1172	15	3	solution	solution	NOUN
ejpam-1172	15	4	techniques	technique	NOUN
ejpam-1172	15	5	,	,	PUNCT
ejpam-1172	15	6	the	the	DET
ejpam-1172	15	7	vim	vim	NOUN
ejpam-1172	15	8	and	and	CCONJ
ejpam-1172	15	9	the	the	DET
ejpam-1172	15	10	adm	adm	NOUN
ejpam-1172	15	11	are	be	AUX
ejpam-1172	15	12	the	the	DET
ejpam-1172	15	13	most	most	ADV
ejpam-1172	15	14	clear	clear	ADJ
ejpam-1172	15	15	methods	method	NOUN
ejpam-1172	15	16	of	of	ADP
ejpam-1172	15	17	solution	solution	NOUN
ejpam-1172	15	18	of	of	ADP
ejpam-1172	15	19	fdes	fde	NOUN
ejpam-1172	15	20	for	for	ADP
ejpam-1172	15	21	providing	provide	VERB
ejpam-1172	15	22	instant	instant	ADJ
ejpam-1172	15	23	and	and	CCONJ
ejpam-1172	15	24	visible	visible	ADJ
ejpam-1172	15	25	symbolic	symbolic	ADJ
ejpam-1172	15	26	terms	term	NOUN
ejpam-1172	15	27	of	of	ADP
ejpam-1172	15	28	analytic	analytic	ADJ
ejpam-1172	15	29	solutions	solution	NOUN
ejpam-1172	15	30	,	,	PUNCT
ejpam-1172	15	31	as	as	ADV
ejpam-1172	15	32	well	well	ADV
ejpam-1172	15	33	as	as	ADP
ejpam-1172	15	34	numerical	numerical	ADJ
ejpam-1172	15	35	approximate	approximate	ADJ
ejpam-1172	15	36	solutions	solution	NOUN
ejpam-1172	15	37	to	to	ADP
ejpam-1172	15	38	nonlinear	nonlinear	ADJ
ejpam-1172	15	39	differential	differential	ADJ
ejpam-1172	15	40	equations	equation	NOUN
ejpam-1172	15	41	without	without	ADP
ejpam-1172	15	42	linearization	linearization	NOUN
ejpam-1172	15	43	or	or	CCONJ
ejpam-1172	15	44	discretization	discretization	NOUN
ejpam-1172	15	45	.	.	PUNCT
ejpam-1172	16	1	∗corresponding	∗corresponde	VERB
ejpam-1172	16	2	author	author	NOUN
ejpam-1172	16	3	.	.	PUNCT
ejpam-1172	17	1	email	email	NOUN
ejpam-1172	17	2	address	address	NOUN
ejpam-1172	17	3	:	:	PUNCT
ejpam-1172	17	4	bibis�hho.edu.tr	bibis�hho.edu.tr	PROPN
ejpam-1172	17	5	(	(	PUNCT
ejpam-1172	17	6	b.	b.	PROPN
ejpam-1172	17	7	i̇bi̧s	i̇bi̧s	PROPN
ejpam-1172	17	8	)	)	PUNCT
ejpam-1172	17	9	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-1172	18	1	129	129	NUM
ejpam-1172	19	1	c	c	X
ejpam-1172	19	2	©	©	NOUN
ejpam-1172	19	3	2011	2011	NUM
ejpam-1172	19	4	ejpam	ejpam	VERB
ejpam-1172	19	5	all	all	DET
ejpam-1172	19	6	rights	right	NOUN
ejpam-1172	19	7	reserved	reserve	VERB
ejpam-1172	19	8	.	.	PUNCT
ejpam-1172	20	1	b.	b.	PROPN
ejpam-1172	20	2	i̇bi̧s	i̇bi̧s	PROPN
ejpam-1172	20	3	,	,	PUNCT
ejpam-1172	20	4	m.	m.	NOUN
ejpam-1172	20	5	bayram	bayram	PROPN
ejpam-1172	20	6	and	and	CCONJ
ejpam-1172	20	7	a.	a.	PROPN
ejpam-1172	20	8	ağargün	ağargün	PROPN
ejpam-1172	20	9	/	/	SYM
ejpam-1172	20	10	eur	eur	PROPN
ejpam-1172	20	11	.	.	PUNCT
ejpam-1172	21	1	j.	j.	PROPN
ejpam-1172	21	2	pure	pure	PROPN
ejpam-1172	21	3	appl	appl	PROPN
ejpam-1172	21	4	.	.	PROPN
ejpam-1172	21	5	math	math	PROPN
ejpam-1172	21	6	,	,	PUNCT
ejpam-1172	21	7	4	4	NUM
ejpam-1172	21	8	(	(	PUNCT
ejpam-1172	21	9	2011	2011	NUM
ejpam-1172	21	10	)	)	PUNCT
ejpam-1172	21	11	,	,	PUNCT
ejpam-1172	21	12	129	129	NUM
ejpam-1172	21	13	-	-	SYM
ejpam-1172	21	14	141	141	NUM
ejpam-1172	21	15	130	130	NUM
ejpam-1172	21	16	many	many	ADJ
ejpam-1172	21	17	physical	physical	ADJ
ejpam-1172	21	18	problems	problem	NOUN
ejpam-1172	21	19	are	be	AUX
ejpam-1172	21	20	governed	govern	VERB
ejpam-1172	21	21	by	by	ADP
ejpam-1172	21	22	a	a	DET
ejpam-1172	21	23	system	system	NOUN
ejpam-1172	21	24	of	of	ADP
ejpam-1172	21	25	differential	differential	ADJ
ejpam-1172	21	26	-	-	PUNCT
ejpam-1172	21	27	algebraic	algebraic	ADJ
ejpam-1172	21	28	equations	equation	NOUN
ejpam-1172	21	29	(	(	PUNCT
ejpam-1172	21	30	daes	daes	PROPN
ejpam-1172	21	31	)	)	PUNCT
ejpam-1172	21	32	,	,	PUNCT
ejpam-1172	21	33	and	and	CCONJ
ejpam-1172	21	34	the	the	DET
ejpam-1172	21	35	solution	solution	NOUN
ejpam-1172	21	36	of	of	ADP
ejpam-1172	21	37	these	these	DET
ejpam-1172	21	38	equations	equation	NOUN
ejpam-1172	21	39	has	have	AUX
ejpam-1172	21	40	been	be	AUX
ejpam-1172	21	41	a	a	DET
ejpam-1172	21	42	subject	subject	NOUN
ejpam-1172	21	43	of	of	ADP
ejpam-1172	21	44	many	many	ADJ
ejpam-1172	21	45	investigators	investigator	NOUN
ejpam-1172	21	46	in	in	ADP
ejpam-1172	21	47	recent	recent	ADJ
ejpam-1172	21	48	years	year	NOUN
ejpam-1172	21	49	.	.	PUNCT
ejpam-1172	22	1	although	although	SCONJ
ejpam-1172	22	2	many	many	ADJ
ejpam-1172	22	3	exact	exact	ADJ
ejpam-1172	22	4	solutions	solution	NOUN
ejpam-1172	22	5	for	for	ADP
ejpam-1172	22	6	linear	linear	PROPN
ejpam-1172	22	7	daes	daes	PROPN
ejpam-1172	22	8	has	have	AUX
ejpam-1172	22	9	been	be	AUX
ejpam-1172	22	10	found	find	VERB
ejpam-1172	22	11	,	,	PUNCT
ejpam-1172	22	12	in	in	ADP
ejpam-1172	22	13	general	general	ADJ
ejpam-1172	22	14	,	,	PUNCT
ejpam-1172	22	15	there	there	PRON
ejpam-1172	22	16	exists	exist	VERB
ejpam-1172	22	17	no	no	DET
ejpam-1172	22	18	method	method	NOUN
ejpam-1172	22	19	that	that	PRON
ejpam-1172	22	20	yields	yield	VERB
ejpam-1172	22	21	an	an	DET
ejpam-1172	22	22	exact	exact	ADJ
ejpam-1172	22	23	solution	solution	NOUN
ejpam-1172	22	24	for	for	ADP
ejpam-1172	22	25	nonlinear	nonlinear	PROPN
ejpam-1172	22	26	daes	daes	PROPN
ejpam-1172	22	27	.	.	PUNCT
ejpam-1172	23	1	numerical	numerical	ADJ
ejpam-1172	23	2	approaches	approach	NOUN
ejpam-1172	23	3	for	for	ADP
ejpam-1172	23	4	approximating	approximate	VERB
ejpam-1172	23	5	solutions	solution	NOUN
ejpam-1172	23	6	of	of	ADP
ejpam-1172	23	7	daes	daes	PROPN
ejpam-1172	23	8	have	have	AUX
ejpam-1172	23	9	been	be	AUX
ejpam-1172	23	10	presented	present	VERB
ejpam-1172	23	11	[	[	PUNCT
ejpam-1172	23	12	39	39	NUM
ejpam-1172	23	13	,	,	PUNCT
ejpam-1172	23	14	29	29	NUM
ejpam-1172	23	15	,	,	PUNCT
ejpam-1172	23	16	28	28	NUM
ejpam-1172	23	17	,	,	PUNCT
ejpam-1172	23	18	6	6	NUM
ejpam-1172	23	19	,	,	PUNCT
ejpam-1172	23	20	5	5	NUM
ejpam-1172	23	21	,	,	PUNCT
ejpam-1172	23	22	4	4	NUM
ejpam-1172	23	23	,	,	PUNCT
ejpam-1172	23	24	8	8	NUM
ejpam-1172	23	25	,	,	PUNCT
ejpam-1172	23	26	24	24	NUM
ejpam-1172	23	27	,	,	PUNCT
ejpam-1172	23	28	25	25	NUM
ejpam-1172	23	29	,	,	PUNCT
ejpam-1172	23	30	7	7	NUM
ejpam-1172	23	31	,	,	PUNCT
ejpam-1172	23	32	10	10	NUM
ejpam-1172	23	33	,	,	PUNCT
ejpam-1172	23	34	15	15	NUM
ejpam-1172	23	35	]	]	PUNCT
ejpam-1172	23	36	.	.	PUNCT
ejpam-1172	24	1	recently	recently	ADV
ejpam-1172	24	2	,	,	PUNCT
ejpam-1172	24	3	many	many	ADJ
ejpam-1172	24	4	important	important	ADJ
ejpam-1172	24	5	mathematical	mathematical	ADJ
ejpam-1172	24	6	models	model	NOUN
ejpam-1172	24	7	can	can	AUX
ejpam-1172	24	8	be	be	AUX
ejpam-1172	24	9	expressed	express	VERB
ejpam-1172	24	10	in	in	ADP
ejpam-1172	24	11	terms	term	NOUN
ejpam-1172	24	12	of	of	ADP
ejpam-1172	24	13	differentialalgebraic	differentialalgebraic	ADJ
ejpam-1172	24	14	equations	equation	NOUN
ejpam-1172	24	15	of	of	ADP
ejpam-1172	24	16	fractional	fractional	ADJ
ejpam-1172	24	17	order	order	NOUN
ejpam-1172	24	18	.	.	PUNCT
ejpam-1172	25	1	homotopy	homotopy	VERB
ejpam-1172	25	2	analysis	analysis	NOUN
ejpam-1172	25	3	method	method	NOUN
ejpam-1172	25	4	was	be	AUX
ejpam-1172	25	5	first	first	ADV
ejpam-1172	25	6	introduced	introduce	VERB
ejpam-1172	25	7	by	by	ADP
ejpam-1172	25	8	liao	liao	PROPN
ejpam-1172	25	9	[	[	X
ejpam-1172	25	10	34	34	NUM
ejpam-1172	25	11	]	]	PUNCT
ejpam-1172	25	12	,	,	PUNCT
ejpam-1172	25	13	who	who	PRON
ejpam-1172	25	14	employed	employ	VERB
ejpam-1172	25	15	the	the	DET
ejpam-1172	25	16	basic	basic	ADJ
ejpam-1172	25	17	ideas	idea	NOUN
ejpam-1172	25	18	of	of	ADP
ejpam-1172	25	19	the	the	DET
ejpam-1172	25	20	homotopy	homotopy	NOUN
ejpam-1172	25	21	in	in	ADP
ejpam-1172	25	22	topology	topology	NOUN
ejpam-1172	25	23	to	to	PART
ejpam-1172	25	24	propose	propose	VERB
ejpam-1172	25	25	a	a	DET
ejpam-1172	25	26	general	general	ADJ
ejpam-1172	25	27	analytic	analytic	ADJ
ejpam-1172	25	28	method	method	NOUN
ejpam-1172	25	29	for	for	ADP
ejpam-1172	25	30	nonlinear	nonlinear	ADJ
ejpam-1172	25	31	problems	problem	NOUN
ejpam-1172	25	32	.	.	PUNCT
ejpam-1172	26	1	zurigat	zurigat	ADJ
ejpam-1172	26	2	,	,	PUNCT
ejpam-1172	26	3	momani	momani	NOUN
ejpam-1172	26	4	and	and	CCONJ
ejpam-1172	26	5	alawneh	alawneh	X
ejpam-1172	27	1	[	[	X
ejpam-1172	27	2	26	26	NUM
ejpam-1172	27	3	]	]	PUNCT
ejpam-1172	27	4	applied	apply	VERB
ejpam-1172	27	5	this	this	DET
ejpam-1172	27	6	method	method	NOUN
ejpam-1172	27	7	for	for	ADP
ejpam-1172	27	8	fractional	fractional	ADJ
ejpam-1172	27	9	differential	differential	ADJ
ejpam-1172	27	10	-	-	PUNCT
ejpam-1172	27	11	algebraic	algebraic	ADJ
ejpam-1172	27	12	equations	equation	NOUN
ejpam-1172	27	13	(	(	PUNCT
ejpam-1172	27	14	fdaes	fdaes	NOUN
ejpam-1172	27	15	)	)	PUNCT
ejpam-1172	27	16	.	.	PUNCT
ejpam-1172	28	1	the	the	DET
ejpam-1172	28	2	differential	differential	ADJ
ejpam-1172	28	3	transform	transform	NOUN
ejpam-1172	28	4	method	method	NOUN
ejpam-1172	28	5	(	(	PUNCT
ejpam-1172	28	6	dtm	dtm	PROPN
ejpam-1172	28	7	)	)	PUNCT
ejpam-1172	28	8	was	be	AUX
ejpam-1172	28	9	first	first	ADV
ejpam-1172	28	10	applied	apply	VERB
ejpam-1172	28	11	in	in	ADP
ejpam-1172	28	12	the	the	DET
ejpam-1172	28	13	engineering	engineering	NOUN
ejpam-1172	28	14	domain	domain	NOUN
ejpam-1172	28	15	in	in	ADP
ejpam-1172	28	16	[	[	X
ejpam-1172	28	17	20	20	NUM
ejpam-1172	28	18	]	]	PUNCT
ejpam-1172	28	19	.	.	PUNCT
ejpam-1172	29	1	the	the	DET
ejpam-1172	29	2	dtm	dtm	PROPN
ejpam-1172	29	3	is	be	AUX
ejpam-1172	29	4	numerical	numerical	ADJ
ejpam-1172	29	5	method	method	NOUN
ejpam-1172	29	6	based	base	VERB
ejpam-1172	29	7	on	on	ADP
ejpam-1172	29	8	the	the	DET
ejpam-1172	29	9	taylor	taylor	PROPN
ejpam-1172	29	10	series	series	PROPN
ejpam-1172	29	11	expansion	expansion	NOUN
ejpam-1172	29	12	which	which	PRON
ejpam-1172	29	13	constructs	construct	VERB
ejpam-1172	29	14	an	an	DET
ejpam-1172	29	15	analytical	analytical	ADJ
ejpam-1172	29	16	solution	solution	NOUN
ejpam-1172	29	17	in	in	ADP
ejpam-1172	29	18	the	the	DET
ejpam-1172	29	19	form	form	NOUN
ejpam-1172	29	20	of	of	ADP
ejpam-1172	29	21	a	a	DET
ejpam-1172	29	22	polynomial	polynomial	NOUN
ejpam-1172	29	23	.	.	PUNCT
ejpam-1172	30	1	the	the	DET
ejpam-1172	30	2	traditional	traditional	ADJ
ejpam-1172	30	3	high	high	ADJ
ejpam-1172	30	4	order	order	NOUN
ejpam-1172	30	5	taylor	taylor	PROPN
ejpam-1172	30	6	series	series	PROPN
ejpam-1172	30	7	method	method	PROPN
ejpam-1172	30	8	requires	require	VERB
ejpam-1172	30	9	symbolic	symbolic	ADJ
ejpam-1172	30	10	computation	computation	NOUN
ejpam-1172	30	11	.	.	PUNCT
ejpam-1172	31	1	however	however	ADV
ejpam-1172	31	2	,	,	PUNCT
ejpam-1172	31	3	the	the	DET
ejpam-1172	31	4	dtm	dtm	PROPN
ejpam-1172	31	5	obtains	obtain	VERB
ejpam-1172	31	6	a	a	DET
ejpam-1172	31	7	polynomial	polynomial	ADJ
ejpam-1172	31	8	series	series	NOUN
ejpam-1172	31	9	solution	solution	NOUN
ejpam-1172	31	10	by	by	ADP
ejpam-1172	31	11	means	mean	NOUN
ejpam-1172	31	12	of	of	ADP
ejpam-1172	31	13	an	an	DET
ejpam-1172	31	14	iterative	iterative	NOUN
ejpam-1172	31	15	procedure	procedure	NOUN
ejpam-1172	31	16	.	.	PUNCT
ejpam-1172	32	1	arikoglu	arikoglu	NOUN
ejpam-1172	32	2	and	and	CCONJ
ejpam-1172	32	3	ozkol	ozkol	NOUN
ejpam-1172	32	4	implement	implement	VERB
ejpam-1172	32	5	a	a	DET
ejpam-1172	32	6	new	new	ADJ
ejpam-1172	32	7	analytical	analytical	ADJ
ejpam-1172	32	8	technique	technique	NOUN
ejpam-1172	32	9	for	for	ADP
ejpam-1172	32	10	the	the	DET
ejpam-1172	32	11	field	field	NOUN
ejpam-1172	32	12	of	of	ADP
ejpam-1172	32	13	fractional	fractional	ADJ
ejpam-1172	32	14	calculus	calculus	NOUN
ejpam-1172	32	15	,	,	PUNCT
ejpam-1172	32	16	for	for	ADP
ejpam-1172	32	17	solving	solve	VERB
ejpam-1172	32	18	fractional	fractional	ADJ
ejpam-1172	32	19	type	type	NOUN
ejpam-1172	32	20	differential	differential	ADJ
ejpam-1172	32	21	equations	equation	NOUN
ejpam-1172	32	22	that	that	PRON
ejpam-1172	32	23	will	will	AUX
ejpam-1172	32	24	be	be	AUX
ejpam-1172	32	25	named	name	VERB
ejpam-1172	32	26	as	as	ADP
ejpam-1172	32	27	fractional	fractional	ADJ
ejpam-1172	32	28	differential	differential	ADJ
ejpam-1172	32	29	transform	transform	NOUN
ejpam-1172	32	30	method	method	NOUN
ejpam-1172	32	31	(	(	PUNCT
ejpam-1172	32	32	fdtm)[1	fdtm)[1	NOUN
ejpam-1172	32	33	]	]	PUNCT
ejpam-1172	32	34	.	.	PUNCT
ejpam-1172	33	1	in	in	ADP
ejpam-1172	33	2	this	this	DET
ejpam-1172	33	3	paper	paper	NOUN
ejpam-1172	33	4	,	,	PUNCT
ejpam-1172	33	5	fractional	fractional	ADJ
ejpam-1172	33	6	differential	differential	NOUN
ejpam-1172	33	7	transform	transform	NOUN
ejpam-1172	33	8	method	method	NOUN
ejpam-1172	33	9	(	(	PUNCT
ejpam-1172	33	10	fdtm	fdtm	NOUN
ejpam-1172	33	11	)	)	PUNCT
ejpam-1172	33	12	is	be	AUX
ejpam-1172	33	13	applied	apply	VERB
ejpam-1172	33	14	to	to	PART
ejpam-1172	33	15	solve	solve	VERB
ejpam-1172	33	16	fractional	fractional	ADJ
ejpam-1172	33	17	differentialalgebraic	differentialalgebraic	ADJ
ejpam-1172	33	18	equations	equation	NOUN
ejpam-1172	33	19	(	(	PUNCT
ejpam-1172	33	20	fdaes	fdaes	NOUN
ejpam-1172	33	21	)	)	PUNCT
ejpam-1172	33	22	of	of	ADP
ejpam-1172	33	23	form	form	NOUN
ejpam-1172	33	24	d	d	X
ejpam-1172	33	25	αi	αi	ADV
ejpam-1172	33	26	∗	∗	NOUN
ejpam-1172	33	27	x	x	X
ejpam-1172	33	28	i(t	i(t	PROPN
ejpam-1172	33	29	)	)	PUNCT
ejpam-1172	34	1	=	=	SYM
ejpam-1172	34	2	f	f	PROPN
ejpam-1172	34	3	(	(	PUNCT
ejpam-1172	34	4	t	t	PROPN
ejpam-1172	34	5	,	,	PUNCT
ejpam-1172	34	6	x1	x1	PROPN
ejpam-1172	34	7	,	,	PUNCT
ejpam-1172	34	8	x2	x2	PROPN
ejpam-1172	34	9	,	,	PUNCT
ejpam-1172	34	10	.	.	PUNCT
ejpam-1172	34	11	.	.	PUNCT
ejpam-1172	34	12	.	.	PUNCT
ejpam-1172	35	1	,	,	PUNCT
ejpam-1172	35	2	xn	xn	PROPN
ejpam-1172	35	3	,	,	PUNCT
ejpam-1172	35	4	x	x	X
ejpam-1172	35	5	′1	′1	X
ejpam-1172	35	6	,	,	PUNCT
ejpam-1172	35	7	x	x	SYM
ejpam-1172	35	8	′2	′2	NOUN
ejpam-1172	35	9	,	,	PUNCT
ejpam-1172	35	10	.	.	PUNCT
ejpam-1172	35	11	.	.	PUNCT
ejpam-1172	35	12	.	.	PUNCT
ejpam-1172	36	1	,	,	PUNCT
ejpam-1172	36	2	x	x	X
ejpam-1172	36	3	′n	′n	PROPN
ejpam-1172	36	4	)	)	PUNCT
ejpam-1172	36	5	,	,	PUNCT
ejpam-1172	36	6	i	i	NOUN
ejpam-1172	36	7	=	=	NOUN
ejpam-1172	36	8	1,2,3	1,2,3	NUM
ejpam-1172	36	9	,	,	PUNCT
ejpam-1172	36	10	.	.	PUNCT
ejpam-1172	36	11	.	.	PUNCT
ejpam-1172	37	1	.	.	PUNCT
ejpam-1172	38	1	,	,	PUNCT
ejpam-1172	38	2	n−	n−	NOUN
ejpam-1172	38	3	1	1	NUM
ejpam-1172	38	4	,	,	PUNCT
ejpam-1172	38	5	t	t	PROPN
ejpam-1172	38	6	≥	≥	NUM
ejpam-1172	38	7	0	0	NUM
ejpam-1172	38	8	,	,	PUNCT
ejpam-1172	38	9	0	0	PUNCT
ejpam-1172	38	10	<	<	X
ejpam-1172	38	11	αi	αi	X
ejpam-1172	38	12	≤	≤	NUM
ejpam-1172	38	13	1	1	NUM
ejpam-1172	38	14	(	(	PUNCT
ejpam-1172	38	15	1	1	NUM
ejpam-1172	38	16	)	)	PUNCT
ejpam-1172	38	17	g(t	g(t	PROPN
ejpam-1172	38	18	,	,	PUNCT
ejpam-1172	38	19	x1	x1	PROPN
ejpam-1172	38	20	,	,	PUNCT
ejpam-1172	38	21	x2	x2	PROPN
ejpam-1172	38	22	,	,	PUNCT
ejpam-1172	38	23	.	.	PUNCT
ejpam-1172	38	24	.	.	PUNCT
ejpam-1172	39	1	.	.	PUNCT
ejpam-1172	40	1	,	,	PUNCT
ejpam-1172	40	2	xn	xn	X
ejpam-1172	40	3	)	)	PUNCT
ejpam-1172	40	4	=	=	SYM
ejpam-1172	40	5	0	0	PUNCT
ejpam-1172	40	6	(	(	PUNCT
ejpam-1172	40	7	2	2	NUM
ejpam-1172	40	8	)	)	PUNCT
ejpam-1172	40	9	subject	subject	NOUN
ejpam-1172	40	10	to	to	ADP
ejpam-1172	40	11	the	the	DET
ejpam-1172	40	12	initial	initial	ADJ
ejpam-1172	40	13	conditions	condition	NOUN
ejpam-1172	40	14	x	x	X
ejpam-1172	40	15	i(0	i(0	PROPN
ejpam-1172	40	16	)	)	PUNCT
ejpam-1172	41	1	=	=	VERB
ejpam-1172	41	2	ai	ai	VERB
ejpam-1172	41	3	,	,	PUNCT
ejpam-1172	41	4	i	i	PRON
ejpam-1172	41	5	=	=	NOUN
ejpam-1172	41	6	1,2	1,2	NUM
ejpam-1172	41	7	,	,	PUNCT
ejpam-1172	41	8	.	.	PUNCT
ejpam-1172	41	9	.	.	PUNCT
ejpam-1172	41	10	.	.	PUNCT
ejpam-1172	42	1	,	,	PUNCT
ejpam-1172	42	2	n	n	X
ejpam-1172	42	3	(	(	PUNCT
ejpam-1172	42	4	3	3	NUM
ejpam-1172	42	5	)	)	PUNCT
ejpam-1172	42	6	2	2	NUM
ejpam-1172	42	7	.	.	PUNCT
ejpam-1172	42	8	basic	basic	ADJ
ejpam-1172	42	9	definitions	definition	NOUN
ejpam-1172	42	10	there	there	PRON
ejpam-1172	42	11	are	be	VERB
ejpam-1172	42	12	several	several	ADJ
ejpam-1172	42	13	definitions	definition	NOUN
ejpam-1172	42	14	of	of	ADP
ejpam-1172	42	15	a	a	DET
ejpam-1172	42	16	fractional	fractional	ADJ
ejpam-1172	42	17	derivative	derivative	NOUN
ejpam-1172	42	18	of	of	ADP
ejpam-1172	42	19	order	order	NOUN
ejpam-1172	42	20	α	α	X
ejpam-1172	42	21	>	>	X
ejpam-1172	42	22	0	0	PUNCT
ejpam-1172	43	1	[	[	X
ejpam-1172	43	2	17	17	NUM
ejpam-1172	43	3	,	,	PUNCT
ejpam-1172	43	4	22].e.g.riemannliouville	22].e.g.riemannliouville	NOUN
ejpam-1172	43	5	,	,	PUNCT
ejpam-1172	43	6	grunwald	grunwald	NOUN
ejpam-1172	43	7	-	-	PUNCT
ejpam-1172	43	8	letnikow	letnikow	PROPN
ejpam-1172	43	9	,	,	PUNCT
ejpam-1172	43	10	caputo	caputo	PROPN
ejpam-1172	43	11	and	and	CCONJ
ejpam-1172	43	12	generalized	generalized	ADJ
ejpam-1172	43	13	functions	function	NOUN
ejpam-1172	43	14	approach	approach	NOUN
ejpam-1172	43	15	.	.	PUNCT
ejpam-1172	44	1	the	the	DET
ejpam-1172	44	2	most	most	ADV
ejpam-1172	44	3	commonly	commonly	ADV
ejpam-1172	44	4	used	use	VERB
ejpam-1172	44	5	definitions	definition	NOUN
ejpam-1172	44	6	are	be	AUX
ejpam-1172	44	7	the	the	DET
ejpam-1172	44	8	riemann	riemann	PROPN
ejpam-1172	44	9	-	-	PUNCT
ejpam-1172	44	10	liouville	liouville	PROPN
ejpam-1172	44	11	and	and	CCONJ
ejpam-1172	44	12	caputo	caputo	PROPN
ejpam-1172	44	13	.	.	PUNCT
ejpam-1172	45	1	we	we	PRON
ejpam-1172	45	2	give	give	VERB
ejpam-1172	45	3	some	some	DET
ejpam-1172	45	4	basic	basic	ADJ
ejpam-1172	45	5	definitions	definition	NOUN
ejpam-1172	45	6	and	and	CCONJ
ejpam-1172	45	7	properties	property	NOUN
ejpam-1172	45	8	of	of	ADP
ejpam-1172	45	9	the	the	DET
ejpam-1172	45	10	fractional	fractional	ADJ
ejpam-1172	45	11	calculus	calculus	NOUN
ejpam-1172	45	12	theory	theory	NOUN
ejpam-1172	45	13	which	which	PRON
ejpam-1172	45	14	are	be	AUX
ejpam-1172	45	15	used	use	VERB
ejpam-1172	45	16	further	far	ADV
ejpam-1172	45	17	in	in	ADP
ejpam-1172	45	18	this	this	DET
ejpam-1172	45	19	paper	paper	NOUN
ejpam-1172	45	20	.	.	PUNCT
ejpam-1172	46	1	definition	definition	NOUN
ejpam-1172	46	2	1	1	NUM
ejpam-1172	46	3	.	.	PUNCT
ejpam-1172	47	1	a	a	DET
ejpam-1172	47	2	real	real	ADJ
ejpam-1172	47	3	function	function	NOUN
ejpam-1172	47	4	f	f	PROPN
ejpam-1172	47	5	(	(	PUNCT
ejpam-1172	47	6	x	x	NOUN
ejpam-1172	47	7	)	)	PUNCT
ejpam-1172	47	8	,	,	PUNCT
ejpam-1172	47	9	x	x	X
ejpam-1172	47	10	>	>	X
ejpam-1172	47	11	0	0	NUM
ejpam-1172	47	12	,	,	PUNCT
ejpam-1172	47	13	is	be	AUX
ejpam-1172	47	14	said	say	VERB
ejpam-1172	47	15	to	to	PART
ejpam-1172	47	16	be	be	AUX
ejpam-1172	47	17	in	in	ADP
ejpam-1172	47	18	the	the	DET
ejpam-1172	47	19	space	space	NOUN
ejpam-1172	47	20	cµ	cµ	NOUN
ejpam-1172	47	21	,	,	PUNCT
ejpam-1172	47	22	µ	µ	X
ejpam-1172	47	23	∈	∈	NOUN
ejpam-1172	47	24	r	r	NOUN
ejpam-1172	47	25	if	if	SCONJ
ejpam-1172	47	26	there	there	PRON
ejpam-1172	47	27	exists	exist	VERB
ejpam-1172	47	28	a	a	DET
ejpam-1172	47	29	real	real	ADJ
ejpam-1172	47	30	number	number	NOUN
ejpam-1172	47	31	p	p	PROPN
ejpam-1172	47	32	>	>	X
ejpam-1172	47	33	µ	µ	PRON
ejpam-1172	47	34	such	such	ADJ
ejpam-1172	47	35	that	that	SCONJ
ejpam-1172	47	36	f	f	PROPN
ejpam-1172	47	37	(	(	PUNCT
ejpam-1172	47	38	x	x	X
ejpam-1172	47	39	)	)	PUNCT
ejpam-1172	47	40	=	=	PUNCT
ejpam-1172	48	1	x	x	X
ejpam-1172	48	2	p	p	NOUN
ejpam-1172	48	3	f1(x	f1(x	PROPN
ejpam-1172	48	4	)	)	PUNCT
ejpam-1172	48	5	,	,	PUNCT
ejpam-1172	48	6	where	where	SCONJ
ejpam-1172	48	7	f1(x	f1(x	NOUN
ejpam-1172	48	8	)	)	PUNCT
ejpam-1172	48	9	∈	∈	NOUN
ejpam-1172	48	10	c[0,∞	c[0,∞	NUM
ejpam-1172	48	11	)	)	PUNCT
ejpam-1172	48	12	.	.	PUNCT
ejpam-1172	49	1	clearly	clearly	ADV
ejpam-1172	49	2	cµ	cµ	VERB
ejpam-1172	49	3	<	<	X
ejpam-1172	49	4	cβ	cβ	NOUN
ejpam-1172	49	5	if	if	SCONJ
ejpam-1172	49	6	β	β	X
ejpam-1172	49	7	<	<	X
ejpam-1172	49	8	µ.	µ.	PROPN
ejpam-1172	49	9	definition	definition	NOUN
ejpam-1172	49	10	2	2	NUM
ejpam-1172	49	11	.	.	PUNCT
ejpam-1172	50	1	a	a	DET
ejpam-1172	50	2	function	function	NOUN
ejpam-1172	50	3	f	f	X
ejpam-1172	50	4	(	(	PUNCT
ejpam-1172	50	5	x	x	NOUN
ejpam-1172	50	6	)	)	PUNCT
ejpam-1172	50	7	,	,	PUNCT
ejpam-1172	50	8	x	x	X
ejpam-1172	50	9	>	>	X
ejpam-1172	50	10	0	0	NUM
ejpam-1172	50	11	,	,	PUNCT
ejpam-1172	50	12	is	be	AUX
ejpam-1172	50	13	said	say	VERB
ejpam-1172	50	14	to	to	PART
ejpam-1172	50	15	be	be	AUX
ejpam-1172	50	16	in	in	ADP
ejpam-1172	50	17	the	the	DET
ejpam-1172	50	18	space	space	NOUN
ejpam-1172	50	19	cm	cm	PROPN
ejpam-1172	50	20	µ	µ	NOUN
ejpam-1172	50	21	,	,	PUNCT
ejpam-1172	50	22	m	m	VERB
ejpam-1172	50	23	∈	∈	NOUN
ejpam-1172	50	24	n	n	ADV
ejpam-1172	50	25	∪	∪	X
ejpam-1172	50	26	{	{	PUNCT
ejpam-1172	50	27	0	0	NUM
ejpam-1172	50	28	}	}	PUNCT
ejpam-1172	50	29	if	if	SCONJ
ejpam-1172	50	30	f	f	PROPN
ejpam-1172	50	31	(	(	PUNCT
ejpam-1172	50	32	m	m	NOUN
ejpam-1172	50	33	)	)	PUNCT
ejpam-1172	50	34	∈	∈	PROPN
ejpam-1172	50	35	cµ.	cµ.	ADJ
ejpam-1172	50	36	definition	definition	NOUN
ejpam-1172	50	37	3	3	NUM
ejpam-1172	50	38	.	.	PUNCT
ejpam-1172	51	1	the	the	DET
ejpam-1172	51	2	riemann	riemann	PROPN
ejpam-1172	51	3	-	-	PUNCT
ejpam-1172	51	4	liouville	liouville	VERB
ejpam-1172	51	5	fractional	fractional	ADJ
ejpam-1172	51	6	integral	integral	ADJ
ejpam-1172	51	7	operator	operator	NOUN
ejpam-1172	51	8	of	of	ADP
ejpam-1172	51	9	order	order	NOUN
ejpam-1172	51	10	a	a	DET
ejpam-1172	51	11	α≥	α≥	NOUN
ejpam-1172	51	12	0	0	NUM
ejpam-1172	51	13	of	of	ADP
ejpam-1172	51	14	a	a	DET
ejpam-1172	51	15	function	function	NOUN
ejpam-1172	51	16	,	,	PUNCT
ejpam-1172	51	17	f	f	PROPN
ejpam-1172	51	18	∈	∈	PROPN
ejpam-1172	51	19	cµ,µ	cµ,µ	X
ejpam-1172	51	20	≥	≥	NOUN
ejpam-1172	51	21	−1	−1	NOUN
ejpam-1172	51	22	is	be	AUX
ejpam-1172	51	23	defined	define	VERB
ejpam-1172	51	24	as	as	ADP
ejpam-1172	51	25	[	[	X
ejpam-1172	51	26	31	31	NUM
ejpam-1172	51	27	]	]	X
ejpam-1172	51	28	jα	jα	PROPN
ejpam-1172	51	29	f	f	X
ejpam-1172	51	30	(	(	PUNCT
ejpam-1172	51	31	x	x	X
ejpam-1172	51	32	)	)	PUNCT
ejpam-1172	51	33	=	=	SYM
ejpam-1172	51	34	1	1	NUM
ejpam-1172	51	35	γ(α	γ(α	NOUN
ejpam-1172	51	36	)	)	PUNCT
ejpam-1172	51	37	∫	∫	PROPN
ejpam-1172	52	1	x	x	X
ejpam-1172	52	2	0	0	PUNCT
ejpam-1172	53	1	(	(	PUNCT
ejpam-1172	53	2	x	x	SYM
ejpam-1172	53	3	−	−	PROPN
ejpam-1172	53	4	t)α−1	t)α−1	NOUN
ejpam-1172	53	5	f	f	PROPN
ejpam-1172	53	6	(	(	PUNCT
ejpam-1172	53	7	t)d	t)d	PROPN
ejpam-1172	53	8	t	t	PROPN
ejpam-1172	53	9	,	,	PUNCT
ejpam-1172	53	10	α	α	PROPN
ejpam-1172	53	11	>	>	X
ejpam-1172	53	12	0	0	PROPN
ejpam-1172	53	13	,	,	PUNCT
ejpam-1172	53	14	x	x	X
ejpam-1172	53	15	>	>	X
ejpam-1172	53	16	0	0	PUNCT
ejpam-1172	54	1	(	(	PUNCT
ejpam-1172	54	2	4	4	X
ejpam-1172	54	3	)	)	PUNCT
ejpam-1172	54	4	j0	j0	PROPN
ejpam-1172	54	5	f	f	X
ejpam-1172	54	6	(	(	PUNCT
ejpam-1172	54	7	x	x	NOUN
ejpam-1172	54	8	)	)	PUNCT
ejpam-1172	54	9	=	=	SYM
ejpam-1172	54	10	f	f	PROPN
ejpam-1172	54	11	(	(	PUNCT
ejpam-1172	54	12	x	x	X
ejpam-1172	54	13	)	)	PUNCT
ejpam-1172	54	14	(	(	PUNCT
ejpam-1172	54	15	5	5	X
ejpam-1172	54	16	)	)	PUNCT
ejpam-1172	54	17	b.	b.	NOUN
ejpam-1172	54	18	i̇bi̧s	i̇bi̧s	PROPN
ejpam-1172	54	19	,	,	PUNCT
ejpam-1172	54	20	m.	m.	NOUN
ejpam-1172	54	21	bayram	bayram	PROPN
ejpam-1172	54	22	and	and	CCONJ
ejpam-1172	54	23	a.	a.	PROPN
ejpam-1172	54	24	ağargün	ağargün	PROPN
ejpam-1172	54	25	/	/	SYM
ejpam-1172	54	26	eur	eur	PROPN
ejpam-1172	54	27	.	.	PUNCT
ejpam-1172	55	1	j.	j.	PROPN
ejpam-1172	55	2	pure	pure	PROPN
ejpam-1172	55	3	appl	appl	PROPN
ejpam-1172	55	4	.	.	PROPN
ejpam-1172	55	5	math	math	PROPN
ejpam-1172	55	6	,	,	PUNCT
ejpam-1172	55	7	4	4	NUM
ejpam-1172	55	8	(	(	PUNCT
ejpam-1172	55	9	2011	2011	NUM
ejpam-1172	55	10	)	)	PUNCT
ejpam-1172	55	11	,	,	PUNCT
ejpam-1172	55	12	129	129	NUM
ejpam-1172	55	13	-	-	SYM
ejpam-1172	55	14	141	141	NUM
ejpam-1172	55	15	131	131	NUM
ejpam-1172	55	16	properties	property	NOUN
ejpam-1172	55	17	of	of	ADP
ejpam-1172	55	18	the	the	DET
ejpam-1172	55	19	operator	operator	NOUN
ejpam-1172	55	20	jα	jα	NOUN
ejpam-1172	55	21	can	can	AUX
ejpam-1172	55	22	be	be	AUX
ejpam-1172	55	23	found	find	VERB
ejpam-1172	55	24	in	in	ADP
ejpam-1172	55	25	[	[	X
ejpam-1172	55	26	41	41	NUM
ejpam-1172	55	27	,	,	PUNCT
ejpam-1172	55	28	23	23	NUM
ejpam-1172	55	29	,	,	PUNCT
ejpam-1172	55	30	21	21	NUM
ejpam-1172	55	31	]	]	PUNCT
ejpam-1172	55	32	,	,	PUNCT
ejpam-1172	55	33	we	we	PRON
ejpam-1172	55	34	mention	mention	VERB
ejpam-1172	55	35	only	only	ADV
ejpam-1172	55	36	the	the	DET
ejpam-1172	55	37	following	following	NOUN
ejpam-1172	55	38	:	:	PUNCT
ejpam-1172	55	39	for	for	ADP
ejpam-1172	55	40	f	f	PROPN
ejpam-1172	55	41	∈	∈	PROPN
ejpam-1172	55	42	cµ	cµ	PROPN
ejpam-1172	55	43	,	,	PUNCT
ejpam-1172	55	44	µ	µ	X
ejpam-1172	55	45	≥	≥	NOUN
ejpam-1172	55	46	−1	−1	NOUN
ejpam-1172	55	47	,	,	PUNCT
ejpam-1172	55	48	α	α	X
ejpam-1172	55	49	,	,	PUNCT
ejpam-1172	55	50	β	β	X
ejpam-1172	55	51	≥	≥	NOUN
ejpam-1172	55	52	0	0	NUM
ejpam-1172	55	53	and	and	CCONJ
ejpam-1172	55	54	γ	γ	X
ejpam-1172	55	55	>	>	X
ejpam-1172	55	56	−1	−1	NOUN
ejpam-1172	55	57	jαjβ	jαjβ	PROPN
ejpam-1172	55	58	f	f	PROPN
ejpam-1172	55	59	(	(	PUNCT
ejpam-1172	55	60	x	x	X
ejpam-1172	55	61	)	)	PUNCT
ejpam-1172	55	62	=	=	PUNCT
ejpam-1172	56	1	jα+β	jα+β	NUM
ejpam-1172	56	2	f	f	X
ejpam-1172	56	3	(	(	PUNCT
ejpam-1172	56	4	x	x	X
ejpam-1172	56	5	)	)	PUNCT
ejpam-1172	56	6	(	(	PUNCT
ejpam-1172	56	7	6	6	X
ejpam-1172	56	8	)	)	PUNCT
ejpam-1172	56	9	jαjβ	jαjβ	PROPN
ejpam-1172	56	10	f	f	PROPN
ejpam-1172	56	11	(	(	PUNCT
ejpam-1172	56	12	x	x	X
ejpam-1172	56	13	)	)	PUNCT
ejpam-1172	56	14	=	=	SYM
ejpam-1172	57	1	jβ	jβ	PROPN
ejpam-1172	57	2	jα	jα	PROPN
ejpam-1172	57	3	f	f	X
ejpam-1172	57	4	(	(	PUNCT
ejpam-1172	57	5	x	x	X
ejpam-1172	57	6	)	)	PUNCT
ejpam-1172	57	7	(	(	PUNCT
ejpam-1172	57	8	7	7	X
ejpam-1172	57	9	)	)	PUNCT
ejpam-1172	57	10	jαxγ	jαxγ	NOUN
ejpam-1172	57	11	=	=	SYM
ejpam-1172	57	12	γ(γ+	γ(γ+	ADJ
ejpam-1172	57	13	1	1	X
ejpam-1172	57	14	)	)	PUNCT
ejpam-1172	57	15	γ(α+	γ(α+	NOUN
ejpam-1172	57	16	γ+	γ+	NUM
ejpam-1172	57	17	1	1	X
ejpam-1172	57	18	)	)	PUNCT
ejpam-1172	57	19	xα+γ	xα+γ	PROPN
ejpam-1172	58	1	(	(	PUNCT
ejpam-1172	58	2	8)	8)	NUM
ejpam-1172	58	3	the	the	DET
ejpam-1172	58	4	riemann	riemann	PROPN
ejpam-1172	58	5	-	-	PUNCT
ejpam-1172	58	6	liouville	liouville	VERB
ejpam-1172	58	7	derivative	derivative	NOUN
ejpam-1172	58	8	has	have	VERB
ejpam-1172	58	9	certain	certain	ADJ
ejpam-1172	58	10	disadvantages	disadvantage	NOUN
ejpam-1172	58	11	when	when	SCONJ
ejpam-1172	58	12	trying	try	VERB
ejpam-1172	58	13	to	to	PART
ejpam-1172	58	14	model	model	VERB
ejpam-1172	58	15	real	real	ADJ
ejpam-1172	58	16	-	-	PUNCT
ejpam-1172	58	17	world	world	NOUN
ejpam-1172	58	18	phenomena	phenomenon	NOUN
ejpam-1172	58	19	using	use	VERB
ejpam-1172	58	20	fractional	fractional	ADJ
ejpam-1172	58	21	differential	differential	ADJ
ejpam-1172	58	22	equations	equation	NOUN
ejpam-1172	58	23	.	.	PUNCT
ejpam-1172	59	1	therefore	therefore	ADV
ejpam-1172	59	2	,	,	PUNCT
ejpam-1172	59	3	we	we	PRON
ejpam-1172	59	4	will	will	AUX
ejpam-1172	59	5	introduce	introduce	VERB
ejpam-1172	59	6	a	a	DET
ejpam-1172	59	7	modified	modify	VERB
ejpam-1172	59	8	fractional	fractional	ADJ
ejpam-1172	59	9	differential	differential	NOUN
ejpam-1172	59	10	operator	operator	NOUN
ejpam-1172	59	11	proposed	propose	VERB
ejpam-1172	59	12	by	by	ADP
ejpam-1172	59	13	caputo	caputo	PROPN
ejpam-1172	59	14	’s	’s	PART
ejpam-1172	59	15	work	work	NOUN
ejpam-1172	59	16	on	on	ADP
ejpam-1172	59	17	the	the	DET
ejpam-1172	59	18	theory	theory	NOUN
ejpam-1172	59	19	of	of	ADP
ejpam-1172	59	20	viscoelasticity	viscoelasticity	NOUN
ejpam-1172	59	21	[	[	X
ejpam-1172	59	22	22	22	NUM
ejpam-1172	59	23	]	]	PUNCT
ejpam-1172	59	24	.	.	PUNCT
ejpam-1172	60	1	definition	definition	NOUN
ejpam-1172	60	2	4	4	NUM
ejpam-1172	60	3	.	.	PUNCT
ejpam-1172	61	1	the	the	DET
ejpam-1172	61	2	fractional	fractional	ADJ
ejpam-1172	61	3	derivative	derivative	NOUN
ejpam-1172	61	4	of	of	ADP
ejpam-1172	61	5	f	f	PROPN
ejpam-1172	61	6	(	(	PUNCT
ejpam-1172	61	7	x	x	X
ejpam-1172	61	8	)	)	PUNCT
ejpam-1172	61	9	in	in	ADP
ejpam-1172	61	10	the	the	DET
ejpam-1172	61	11	caputo	caputo	PROPN
ejpam-1172	61	12	sense	sense	NOUN
ejpam-1172	61	13	is	be	AUX
ejpam-1172	61	14	defined	define	VERB
ejpam-1172	61	15	as	as	ADP
ejpam-1172	61	16	dα∗	dα∗	NOUN
ejpam-1172	61	17	f	f	PROPN
ejpam-1172	61	18	(	(	PUNCT
ejpam-1172	61	19	x	x	NOUN
ejpam-1172	61	20	)	)	PUNCT
ejpam-1172	61	21	=	=	SYM
ejpam-1172	61	22	j	j	PROPN
ejpam-1172	61	23	m−αdm	m−αdm	NOUN
ejpam-1172	62	1	f	f	PROPN
ejpam-1172	62	2	(	(	PUNCT
ejpam-1172	62	3	x	x	X
ejpam-1172	62	4	)	)	PUNCT
ejpam-1172	62	5	=	=	SYM
ejpam-1172	62	6	1	1	NUM
ejpam-1172	62	7	γ(m−α	γ(m−α	NOUN
ejpam-1172	62	8	)	)	PUNCT
ejpam-1172	62	9	∫	∫	PROPN
ejpam-1172	62	10	x	x	X
ejpam-1172	62	11	0	0	PUNCT
ejpam-1172	62	12	(	(	PUNCT
ejpam-1172	62	13	x	x	X
ejpam-1172	62	14	−	−	PROPN
ejpam-1172	62	15	t)m−α−1	t)m−α−1	PROPN
ejpam-1172	62	16	f	f	NOUN
ejpam-1172	62	17	(	(	PUNCT
ejpam-1172	62	18	m)(t)d	m)(t)d	PROPN
ejpam-1172	62	19	t	t	PROPN
ejpam-1172	62	20	,	,	PUNCT
ejpam-1172	62	21	(	(	PUNCT
ejpam-1172	62	22	9	9	NUM
ejpam-1172	62	23	)	)	PUNCT
ejpam-1172	62	24	for	for	ADP
ejpam-1172	62	25	m−	m−	PROPN
ejpam-1172	62	26	1	1	NUM
ejpam-1172	62	27	<	<	X
ejpam-1172	62	28	α≤	α≤	NUM
ejpam-1172	62	29	m	m	PROPN
ejpam-1172	62	30	,	,	PUNCT
ejpam-1172	62	31	m	m	PROPN
ejpam-1172	62	32	∈	∈	PROPN
ejpam-1172	62	33	n	n	CCONJ
ejpam-1172	62	34	,	,	PUNCT
ejpam-1172	62	35	x	x	X
ejpam-1172	62	36	>	>	X
ejpam-1172	62	37	0	0	PROPN
ejpam-1172	62	38	,	,	PUNCT
ejpam-1172	62	39	f	f	PROPN
ejpam-1172	62	40	∈	∈	PROPN
ejpam-1172	62	41	cm	cm	PROPN
ejpam-1172	62	42	−1	−1	NOUN
ejpam-1172	62	43	.	.	PUNCT
ejpam-1172	63	1	also	also	ADV
ejpam-1172	63	2	,	,	PUNCT
ejpam-1172	63	3	we	we	PRON
ejpam-1172	63	4	need	need	VERB
ejpam-1172	63	5	here	here	ADV
ejpam-1172	63	6	two	two	NUM
ejpam-1172	63	7	of	of	ADP
ejpam-1172	63	8	its	its	PRON
ejpam-1172	63	9	basic	basic	ADJ
ejpam-1172	63	10	properties	property	NOUN
ejpam-1172	63	11	.	.	PUNCT
ejpam-1172	64	1	lemma	lemma	PROPN
ejpam-1172	64	2	1	1	NUM
ejpam-1172	64	3	.	.	PUNCT
ejpam-1172	65	1	if	if	SCONJ
ejpam-1172	65	2	m−	m−	PROPN
ejpam-1172	65	3	1	1	NUM
ejpam-1172	65	4	<	<	X
ejpam-1172	65	5	α	α	PRON
ejpam-1172	65	6	≤	≤	NUM
ejpam-1172	65	7	m	m	PROPN
ejpam-1172	65	8	,	,	PUNCT
ejpam-1172	65	9	m	m	VERB
ejpam-1172	65	10	∈	∈	PROPN
ejpam-1172	65	11	n	n	NOUN
ejpam-1172	65	12	and	and	CCONJ
ejpam-1172	65	13	f	f	PROPN
ejpam-1172	65	14	∈	∈	PROPN
ejpam-1172	65	15	cm	cm	PROPN
ejpam-1172	65	16	µ	µ	X
ejpam-1172	65	17	,	,	PUNCT
ejpam-1172	65	18	m	m	VERB
ejpam-1172	65	19	≥	≥	NOUN
ejpam-1172	65	20	−1	−1	NOUN
ejpam-1172	65	21	,	,	PUNCT
ejpam-1172	65	22	then	then	ADV
ejpam-1172	65	23	dα∗	dα∗	VERB
ejpam-1172	65	24	j	j	PROPN
ejpam-1172	66	1	α	α	PRON
ejpam-1172	66	2	f	f	X
ejpam-1172	66	3	(	(	PUNCT
ejpam-1172	66	4	x	x	X
ejpam-1172	66	5	)	)	PUNCT
ejpam-1172	66	6	=	=	SYM
ejpam-1172	66	7	f	f	PROPN
ejpam-1172	66	8	(	(	PUNCT
ejpam-1172	66	9	x	x	X
ejpam-1172	66	10	)	)	PUNCT
ejpam-1172	66	11	(	(	PUNCT
ejpam-1172	66	12	10	10	NUM
ejpam-1172	66	13	)	)	PUNCT
ejpam-1172	66	14	jαdα∗	jαdα∗	NOUN
ejpam-1172	66	15	f	f	PROPN
ejpam-1172	66	16	(	(	PUNCT
ejpam-1172	66	17	x	x	X
ejpam-1172	66	18	)	)	PUNCT
ejpam-1172	66	19	=	=	SYM
ejpam-1172	66	20	f	f	PROPN
ejpam-1172	66	21	(	(	PUNCT
ejpam-1172	66	22	x)−	x)−	PROPN
ejpam-1172	66	23	m−1	m−1	PROPN
ejpam-1172	66	24	∑	∑	PUNCT
ejpam-1172	66	25	k=0	k=0	PROPN
ejpam-1172	66	26	f	f	PROPN
ejpam-1172	66	27	(	(	PUNCT
ejpam-1172	66	28	k)(0	k)(0	X
ejpam-1172	66	29	+	+	NOUN
ejpam-1172	66	30	)	)	PUNCT
ejpam-1172	66	31	x	x	X
ejpam-1172	67	1	k	k	PROPN
ejpam-1172	67	2	k	k	PROPN
ejpam-1172	67	3	!	!	PUNCT
ejpam-1172	67	4	,	,	PUNCT
ejpam-1172	67	5	x	x	X
ejpam-1172	67	6	>	>	X
ejpam-1172	67	7	0	0	PUNCT
ejpam-1172	67	8	(	(	PUNCT
ejpam-1172	67	9	11	11	NUM
ejpam-1172	67	10	)	)	SYM
ejpam-1172	67	11	3	3	NUM
ejpam-1172	67	12	.	.	PUNCT
ejpam-1172	67	13	fractional	fractional	ADJ
ejpam-1172	67	14	differential	differential	ADJ
ejpam-1172	67	15	transform	transform	NOUN
ejpam-1172	67	16	method	method	NOUN
ejpam-1172	67	17	(	(	PUNCT
ejpam-1172	67	18	fdtm	fdtm	NOUN
ejpam-1172	67	19	)	)	PUNCT
ejpam-1172	67	20	in	in	ADP
ejpam-1172	67	21	this	this	DET
ejpam-1172	67	22	section	section	NOUN
ejpam-1172	67	23	,	,	PUNCT
ejpam-1172	67	24	we	we	PRON
ejpam-1172	67	25	introduce	introduce	VERB
ejpam-1172	67	26	the	the	DET
ejpam-1172	67	27	fractional	fractional	ADJ
ejpam-1172	67	28	differential	differential	NOUN
ejpam-1172	67	29	transform	transform	NOUN
ejpam-1172	67	30	method	method	NOUN
ejpam-1172	67	31	used	use	VERB
ejpam-1172	67	32	in	in	ADP
ejpam-1172	67	33	this	this	DET
ejpam-1172	67	34	paper	paper	NOUN
ejpam-1172	67	35	to	to	PART
ejpam-1172	67	36	obtain	obtain	VERB
ejpam-1172	67	37	approximate	approximate	ADJ
ejpam-1172	67	38	analytical	analytical	ADJ
ejpam-1172	67	39	solutions	solution	NOUN
ejpam-1172	67	40	for	for	ADP
ejpam-1172	67	41	fdaes	fdaes	NOUN
ejpam-1172	67	42	in	in	ADP
ejpam-1172	67	43	eq.(1	eq.(1	ADJ
ejpam-1172	67	44	)	)	PUNCT
ejpam-1172	67	45	.	.	PUNCT
ejpam-1172	68	1	this	this	DET
ejpam-1172	68	2	method	method	NOUN
ejpam-1172	68	3	has	have	AUX
ejpam-1172	68	4	been	be	AUX
ejpam-1172	68	5	developed	develop	VERB
ejpam-1172	68	6	in	in	ADP
ejpam-1172	68	7	[	[	X
ejpam-1172	68	8	1	1	NUM
ejpam-1172	68	9	]	]	PUNCT
ejpam-1172	68	10	as	as	SCONJ
ejpam-1172	68	11	follows	follow	VERB
ejpam-1172	68	12	:	:	PUNCT
ejpam-1172	68	13	the	the	DET
ejpam-1172	68	14	fractional	fractional	ADJ
ejpam-1172	68	15	differentiation	differentiation	NOUN
ejpam-1172	68	16	in	in	ADP
ejpam-1172	68	17	riemann	riemann	PROPN
ejpam-1172	68	18	-	-	PUNCT
ejpam-1172	68	19	liouville	liouville	VERB
ejpam-1172	68	20	sense	sense	NOUN
ejpam-1172	68	21	is	be	AUX
ejpam-1172	68	22	defined	define	VERB
ejpam-1172	68	23	by	by	ADP
ejpam-1172	68	24	dα	dα	PROPN
ejpam-1172	68	25	f	f	PROPN
ejpam-1172	68	26	(	(	PUNCT
ejpam-1172	68	27	x	x	NOUN
ejpam-1172	68	28	)	)	PUNCT
ejpam-1172	68	29	=	=	SYM
ejpam-1172	68	30	1	1	NUM
ejpam-1172	68	31	γ(m−α	γ(m−α	NOUN
ejpam-1172	68	32	)	)	PUNCT
ejpam-1172	68	33	dm	dm	PROPN
ejpam-1172	68	34	�	�	PROPN
ejpam-1172	68	35	∫	∫	PROPN
ejpam-1172	68	36	x	x	X
ejpam-1172	68	37	0	0	PUNCT
ejpam-1172	68	38	(	(	PUNCT
ejpam-1172	68	39	x	x	X
ejpam-1172	68	40	−	−	PROPN
ejpam-1172	68	41	t)m−α−1	t)m−α−1	PROPN
ejpam-1172	68	42	f	f	NOUN
ejpam-1172	68	43	(	(	PUNCT
ejpam-1172	68	44	t)d	t)d	PROPN
ejpam-1172	68	45	t	t	PROPN
ejpam-1172	68	46	�	�	PROPN
ejpam-1172	68	47	(	(	PUNCT
ejpam-1172	68	48	12	12	NUM
ejpam-1172	68	49	)	)	PUNCT
ejpam-1172	68	50	for	for	ADP
ejpam-1172	68	51	m−	m−	PROPN
ejpam-1172	68	52	1≤	1≤	INTJ
ejpam-1172	69	1	α	α	PRON
ejpam-1172	69	2	<	<	X
ejpam-1172	69	3	m	m	PROPN
ejpam-1172	69	4	,	,	PUNCT
ejpam-1172	69	5	m	m	VERB
ejpam-1172	69	6	∈	∈	PROPN
ejpam-1172	69	7	n	n	NOUN
ejpam-1172	69	8	,	,	PUNCT
ejpam-1172	69	9	x	x	X
ejpam-1172	69	10	>	>	X
ejpam-1172	69	11	0	0	X
ejpam-1172	69	12	.	.	PUNCT
ejpam-1172	70	1	let	let	VERB
ejpam-1172	70	2	us	we	PRON
ejpam-1172	70	3	expand	expand	VERB
ejpam-1172	70	4	the	the	DET
ejpam-1172	70	5	analytical	analytical	ADJ
ejpam-1172	70	6	and	and	CCONJ
ejpam-1172	70	7	continuous	continuous	ADJ
ejpam-1172	70	8	function	function	NOUN
ejpam-1172	70	9	f	f	PROPN
ejpam-1172	70	10	(	(	PUNCT
ejpam-1172	70	11	x	x	X
ejpam-1172	70	12	)	)	PUNCT
ejpam-1172	70	13	in	in	ADP
ejpam-1172	70	14	terms	term	NOUN
ejpam-1172	70	15	of	of	ADP
ejpam-1172	70	16	a	a	DET
ejpam-1172	70	17	fractional	fractional	ADJ
ejpam-1172	70	18	power	power	NOUN
ejpam-1172	70	19	series	series	NOUN
ejpam-1172	70	20	as	as	SCONJ
ejpam-1172	70	21	follows	follow	VERB
ejpam-1172	70	22	:	:	PUNCT
ejpam-1172	71	1	f	f	PROPN
ejpam-1172	71	2	(	(	PUNCT
ejpam-1172	71	3	x	x	X
ejpam-1172	71	4	)	)	PUNCT
ejpam-1172	71	5	=	=	SYM
ejpam-1172	72	1	∞	∞	NUM
ejpam-1172	72	2	∑	∑	PUNCT
ejpam-1172	72	3	k=0	k=0	PROPN
ejpam-1172	72	4	f(k)x	f(k)x	PROPN
ejpam-1172	72	5	k	k	PROPN
ejpam-1172	72	6	β	β	X
ejpam-1172	72	7	(	(	PUNCT
ejpam-1172	72	8	13	13	NUM
ejpam-1172	72	9	)	)	PUNCT
ejpam-1172	72	10	b.	b.	NOUN
ejpam-1172	72	11	i̇bi̧s	i̇bi̧s	PROPN
ejpam-1172	72	12	,	,	PUNCT
ejpam-1172	72	13	m.	m.	NOUN
ejpam-1172	72	14	bayram	bayram	PROPN
ejpam-1172	72	15	and	and	CCONJ
ejpam-1172	72	16	a.	a.	PROPN
ejpam-1172	72	17	ağargün	ağargün	PROPN
ejpam-1172	72	18	/	/	SYM
ejpam-1172	72	19	eur	eur	PROPN
ejpam-1172	72	20	.	.	PUNCT
ejpam-1172	73	1	j.	j.	PROPN
ejpam-1172	73	2	pure	pure	PROPN
ejpam-1172	73	3	appl	appl	PROPN
ejpam-1172	73	4	.	.	PROPN
ejpam-1172	73	5	math	math	PROPN
ejpam-1172	73	6	,	,	PUNCT
ejpam-1172	73	7	4	4	NUM
ejpam-1172	73	8	(	(	PUNCT
ejpam-1172	73	9	2011	2011	NUM
ejpam-1172	73	10	)	)	PUNCT
ejpam-1172	73	11	,	,	PUNCT
ejpam-1172	73	12	129	129	NUM
ejpam-1172	73	13	-	-	SYM
ejpam-1172	73	14	141	141	NUM
ejpam-1172	73	15	132	132	NUM
ejpam-1172	73	16	where	where	SCONJ
ejpam-1172	73	17	β	β	NOUN
ejpam-1172	73	18	is	be	AUX
ejpam-1172	73	19	the	the	DET
ejpam-1172	73	20	order	order	NOUN
ejpam-1172	73	21	of	of	ADP
ejpam-1172	73	22	fraction	fraction	NOUN
ejpam-1172	73	23	and	and	CCONJ
ejpam-1172	73	24	f(k	f(k	VERB
ejpam-1172	73	25	)	)	PUNCT
ejpam-1172	73	26	is	be	AUX
ejpam-1172	73	27	the	the	DET
ejpam-1172	73	28	fractional	fractional	ADJ
ejpam-1172	73	29	differential	differential	ADJ
ejpam-1172	73	30	transform	transform	NOUN
ejpam-1172	73	31	of	of	ADP
ejpam-1172	73	32	f	f	PROPN
ejpam-1172	73	33	(	(	PUNCT
ejpam-1172	73	34	x	x	NOUN
ejpam-1172	73	35	)	)	PUNCT
ejpam-1172	73	36	.	.	PUNCT
ejpam-1172	74	1	in	in	ADP
ejpam-1172	74	2	order	order	NOUN
ejpam-1172	74	3	to	to	PART
ejpam-1172	74	4	avoid	avoid	VERB
ejpam-1172	74	5	fractional	fractional	ADJ
ejpam-1172	74	6	initial	initial	ADJ
ejpam-1172	74	7	and	and	CCONJ
ejpam-1172	74	8	boundary	boundary	ADJ
ejpam-1172	74	9	conditions	condition	NOUN
ejpam-1172	74	10	,	,	PUNCT
ejpam-1172	74	11	we	we	PRON
ejpam-1172	74	12	define	define	VERB
ejpam-1172	74	13	the	the	DET
ejpam-1172	74	14	fractional	fractional	ADJ
ejpam-1172	74	15	derivative	derivative	NOUN
ejpam-1172	74	16	in	in	ADP
ejpam-1172	74	17	the	the	DET
ejpam-1172	74	18	caputo	caputo	PROPN
ejpam-1172	74	19	sense	sense	NOUN
ejpam-1172	74	20	.	.	PUNCT
ejpam-1172	75	1	the	the	DET
ejpam-1172	75	2	relation	relation	NOUN
ejpam-1172	75	3	between	between	ADP
ejpam-1172	75	4	the	the	DET
ejpam-1172	75	5	riemann	riemann	PROPN
ejpam-1172	75	6	-	-	PUNCT
ejpam-1172	75	7	liouville	liouville	NOUN
ejpam-1172	75	8	operator	operator	NOUN
ejpam-1172	75	9	and	and	CCONJ
ejpam-1172	75	10	caputo	caputo	NOUN
ejpam-1172	75	11	operator	operator	NOUN
ejpam-1172	75	12	is	be	AUX
ejpam-1172	75	13	given	give	VERB
ejpam-1172	75	14	by	by	ADP
ejpam-1172	75	15	dα∗	dα∗	ADJ
ejpam-1172	75	16	f	f	PROPN
ejpam-1172	75	17	(	(	PUNCT
ejpam-1172	75	18	x	x	X
ejpam-1172	75	19	)	)	PUNCT
ejpam-1172	75	20	=	=	VERB
ejpam-1172	76	1	dα	dα	PROPN
ejpam-1172	76	2	f	f	X
ejpam-1172	76	3	(	(	PUNCT
ejpam-1172	76	4	x)−	x)−	PROPN
ejpam-1172	76	5	m−1	m−1	PROPN
ejpam-1172	76	6	∑	∑	PUNCT
ejpam-1172	76	7	k=0	k=0	PROPN
ejpam-1172	76	8	f	f	PROPN
ejpam-1172	76	9	(	(	PUNCT
ejpam-1172	76	10	k)(0	k)(0	X
ejpam-1172	76	11	+	+	NOUN
ejpam-1172	76	12	)	)	PUNCT
ejpam-1172	76	13	x	x	X
ejpam-1172	76	14	k	k	PROPN
ejpam-1172	76	15	k	k	PROPN
ejpam-1172	76	16	!	!	PUNCT
ejpam-1172	76	17	!	!	PUNCT
ejpam-1172	77	1	(	(	PUNCT
ejpam-1172	77	2	14	14	X
ejpam-1172	77	3	)	)	PUNCT
ejpam-1172	77	4	setting	set	VERB
ejpam-1172	77	5	f	f	X
ejpam-1172	77	6	(	(	PUNCT
ejpam-1172	77	7	x	x	NOUN
ejpam-1172	77	8	)	)	PUNCT
ejpam-1172	77	9	=	=	SYM
ejpam-1172	77	10	f	f	PROPN
ejpam-1172	77	11	(	(	PUNCT
ejpam-1172	77	12	x)−	x)−	PROPN
ejpam-1172	77	13	∑m−1	∑m−1	NOUN
ejpam-1172	77	14	k=0	k=0	PROPN
ejpam-1172	77	15	f	f	PROPN
ejpam-1172	77	16	(	(	PUNCT
ejpam-1172	77	17	k)(0	k)(0	X
ejpam-1172	77	18	+	+	NOUN
ejpam-1172	77	19	)	)	PUNCT
ejpam-1172	77	20	xk	xk	PROPN
ejpam-1172	78	1	k	k	PROPN
ejpam-1172	78	2	!	!	PUNCT
ejpam-1172	79	1	in	in	ADP
ejpam-1172	79	2	eq.(12)and	eq.(12)and	VERB
ejpam-1172	79	3	using	use	VERB
ejpam-1172	79	4	eq.(14	eq.(14	NOUN
ejpam-1172	79	5	)	)	PUNCT
ejpam-1172	79	6	,	,	PUNCT
ejpam-1172	79	7	we	we	PRON
ejpam-1172	79	8	obtain	obtain	VERB
ejpam-1172	79	9	fractional	fractional	ADJ
ejpam-1172	79	10	derivative	derivative	NOUN
ejpam-1172	79	11	in	in	ADP
ejpam-1172	79	12	the	the	DET
ejpam-1172	79	13	caputo	caputo	PROPN
ejpam-1172	79	14	sense	sense	NOUN
ejpam-1172	79	15	as	as	SCONJ
ejpam-1172	79	16	follows	follow	VERB
ejpam-1172	79	17	:	:	PUNCT
ejpam-1172	79	18	dα∗	dα∗	NOUN
ejpam-1172	79	19	f	f	X
ejpam-1172	79	20	(	(	PUNCT
ejpam-1172	79	21	x	x	X
ejpam-1172	79	22	)	)	PUNCT
ejpam-1172	79	23	=	=	SYM
ejpam-1172	79	24	1	1	NUM
ejpam-1172	79	25	γ(m−α	γ(m−α	NOUN
ejpam-1172	79	26	)	)	PUNCT
ejpam-1172	79	27	dm	dm	PROPN
ejpam-1172	79	28			PROPN
ejpam-1172	79	29			X
ejpam-1172	79	30	∫	∫	PROPN
ejpam-1172	79	31	x	x	X
ejpam-1172	79	32	0	0	PUNCT
ejpam-1172	79	33	(	(	PUNCT
ejpam-1172	79	34	x	x	X
ejpam-1172	79	35	−	−	PROPN
ejpam-1172	79	36	t)m−α−1	t)m−α−1	PROPN
ejpam-1172	79	37	f	f	NOUN
ejpam-1172	79	38	(	(	PUNCT
ejpam-1172	79	39	t)−	t)−	PROPN
ejpam-1172	79	40	m−1	m−1	PROPN
ejpam-1172	79	41	∑	∑	PUNCT
ejpam-1172	79	42	k=0	k=0	PROPN
ejpam-1172	79	43	f	f	PROPN
ejpam-1172	79	44	(	(	PUNCT
ejpam-1172	79	45	k)(0	k)(0	X
ejpam-1172	79	46	+	+	NOUN
ejpam-1172	79	47	)	)	PUNCT
ejpam-1172	79	48	tk	tk	PROPN
ejpam-1172	79	49	k	k	PROPN
ejpam-1172	79	50	!	!	PUNCT
ejpam-1172	79	51	!	!	PUNCT
ejpam-1172	80	1	d	d	PROPN
ejpam-1172	80	2	t	t	NOUN
ejpam-1172	80	3			PROPN
ejpam-1172	80	4			PROPN
ejpam-1172	80	5	(	(	PUNCT
ejpam-1172	80	6	15	15	NUM
ejpam-1172	80	7	)	)	PUNCT
ejpam-1172	80	8	since	since	SCONJ
ejpam-1172	80	9	the	the	DET
ejpam-1172	80	10	initial	initial	ADJ
ejpam-1172	80	11	conditions	condition	NOUN
ejpam-1172	80	12	are	be	AUX
ejpam-1172	80	13	implemented	implement	VERB
ejpam-1172	80	14	for	for	ADP
ejpam-1172	80	15	the	the	DET
ejpam-1172	80	16	integer	integer	NOUN
ejpam-1172	80	17	order	order	NOUN
ejpam-1172	80	18	derivatives	derivative	NOUN
ejpam-1172	80	19	,	,	PUNCT
ejpam-1172	80	20	the	the	DET
ejpam-1172	80	21	transformation	transformation	NOUN
ejpam-1172	80	22	of	of	ADP
ejpam-1172	80	23	the	the	DET
ejpam-1172	80	24	initial	initial	ADJ
ejpam-1172	80	25	conditions	condition	NOUN
ejpam-1172	80	26	are	be	AUX
ejpam-1172	80	27	defined	define	VERB
ejpam-1172	80	28	as	as	SCONJ
ejpam-1172	80	29	follows	follow	VERB
ejpam-1172	80	30	:	:	PUNCT
ejpam-1172	80	31	f(k	f(k	VERB
ejpam-1172	80	32	)	)	PUNCT
ejpam-1172	80	33	=	=	SYM
ejpam-1172	80	34	(	(	PUNCT
ejpam-1172	80	35	1	1	NUM
ejpam-1172	80	36	(	(	PUNCT
ejpam-1172	80	37	k	k	X
ejpam-1172	80	38	/	/	SYM
ejpam-1172	80	39	β	β	NOUN
ejpam-1172	80	40	)	)	PUNCT
ejpam-1172	80	41	!	!	PUNCT
ejpam-1172	81	1	h	h	PROPN
ejpam-1172	82	1	dk	dk	PROPN
ejpam-1172	82	2	/	/	SYM
ejpam-1172	82	3	β	β	PROPN
ejpam-1172	82	4	f	f	X
ejpam-1172	82	5	(	(	PUNCT
ejpam-1172	82	6	x	x	X
ejpam-1172	82	7	)	)	PUNCT
ejpam-1172	82	8	d	d	AUX
ejpam-1172	82	9	xk	xk	PROPN
ejpam-1172	82	10	/	/	SYM
ejpam-1172	82	11	β	β	X
ejpam-1172	82	12	i	i	X
ejpam-1172	82	13	x=0	x=0	PROPN
ejpam-1172	82	14	for	for	ADP
ejpam-1172	82	15	k	k	PROPN
ejpam-1172	82	16	=	=	NOUN
ejpam-1172	82	17	0,1,2	0,1,2	PROPN
ejpam-1172	82	18	,	,	PUNCT
ejpam-1172	82	19	.	.	PUNCT
ejpam-1172	82	20	.	.	PUNCT
ejpam-1172	82	21	.	.	PUNCT
ejpam-1172	83	1	,	,	PUNCT
ejpam-1172	83	2	(	(	PUNCT
ejpam-1172	83	3	αβ	αβ	INTJ
ejpam-1172	83	4	−	−	NOUN
ejpam-1172	83	5	1	1	NUM
ejpam-1172	83	6	)	)	PUNCT
ejpam-1172	83	7	,	,	PUNCT
ejpam-1172	83	8	k	k	X
ejpam-1172	83	9	/	/	SYM
ejpam-1172	83	10	β	β	X
ejpam-1172	83	11	∈	∈	NOUN
ejpam-1172	83	12	n+	n+	ADP
ejpam-1172	83	13	0	0	NUM
ejpam-1172	83	14	,	,	PUNCT
ejpam-1172	83	15	k	k	X
ejpam-1172	83	16	/	/	SYM
ejpam-1172	83	17	β	β	X
ejpam-1172	83	18	/∈	/∈	PUNCT
ejpam-1172	83	19	n+	n+	X
ejpam-1172	83	20	(	(	PUNCT
ejpam-1172	83	21	16	16	NUM
ejpam-1172	83	22	)	)	PUNCT
ejpam-1172	83	23	where	where	SCONJ
ejpam-1172	83	24	,	,	PUNCT
ejpam-1172	83	25	α	α	PROPN
ejpam-1172	83	26	is	be	AUX
ejpam-1172	83	27	the	the	DET
ejpam-1172	83	28	order	order	NOUN
ejpam-1172	83	29	of	of	ADP
ejpam-1172	83	30	fractional	fractional	ADJ
ejpam-1172	83	31	differential	differential	ADJ
ejpam-1172	83	32	equation	equation	NOUN
ejpam-1172	83	33	considered	consider	VERB
ejpam-1172	83	34	.	.	PUNCT
ejpam-1172	84	1	the	the	DET
ejpam-1172	84	2	following	follow	VERB
ejpam-1172	84	3	theorems	theorem	NOUN
ejpam-1172	84	4	that	that	PRON
ejpam-1172	84	5	can	can	AUX
ejpam-1172	84	6	be	be	AUX
ejpam-1172	84	7	deduced	deduce	VERB
ejpam-1172	84	8	from	from	ADP
ejpam-1172	84	9	eqs.(12	eqs.(12	PROPN
ejpam-1172	84	10	)	)	PUNCT
ejpam-1172	84	11	and	and	CCONJ
ejpam-1172	84	12	(	(	PUNCT
ejpam-1172	84	13	13	13	NUM
ejpam-1172	84	14	)	)	PUNCT
ejpam-1172	84	15	are	be	AUX
ejpam-1172	84	16	given	give	VERB
ejpam-1172	84	17	below	below	ADP
ejpam-1172	84	18	,	,	PUNCT
ejpam-1172	84	19	for	for	SCONJ
ejpam-1172	84	20	proofs	proof	NOUN
ejpam-1172	84	21	and	and	CCONJ
ejpam-1172	84	22	details	detail	NOUN
ejpam-1172	84	23	see	see	VERB
ejpam-1172	84	24	[	[	X
ejpam-1172	84	25	1	1	NUM
ejpam-1172	84	26	]	]	PUNCT
ejpam-1172	84	27	.	.	PUNCT
ejpam-1172	85	1	theorem	theorem	NOUN
ejpam-1172	85	2	1	1	NUM
ejpam-1172	85	3	.	.	PUNCT
ejpam-1172	86	1	if	if	SCONJ
ejpam-1172	86	2	f	f	PROPN
ejpam-1172	86	3	(	(	PUNCT
ejpam-1172	86	4	x	x	X
ejpam-1172	86	5	)	)	PUNCT
ejpam-1172	86	6	=	=	PUNCT
ejpam-1172	86	7	g(x)±	g(x)±	X
ejpam-1172	86	8	h(x	h(x	PROPN
ejpam-1172	86	9	)	)	PUNCT
ejpam-1172	86	10	,	,	PUNCT
ejpam-1172	86	11	then	then	ADV
ejpam-1172	86	12	f(k	f(k	VERB
ejpam-1172	86	13	)	)	PUNCT
ejpam-1172	86	14	=	=	SYM
ejpam-1172	86	15	g(k)±h(k	g(k)±h(k	NOUN
ejpam-1172	86	16	)	)	PUNCT
ejpam-1172	86	17	theorem	theorem	NOUN
ejpam-1172	86	18	2	2	NUM
ejpam-1172	86	19	.	.	PUNCT
ejpam-1172	87	1	if	if	SCONJ
ejpam-1172	87	2	f	f	PROPN
ejpam-1172	87	3	(	(	PUNCT
ejpam-1172	87	4	x	x	X
ejpam-1172	87	5	)	)	PUNCT
ejpam-1172	87	6	=	=	SYM
ejpam-1172	87	7	g(x)h(x	g(x)h(x	X
ejpam-1172	87	8	)	)	PUNCT
ejpam-1172	87	9	,	,	PUNCT
ejpam-1172	87	10	then	then	ADV
ejpam-1172	87	11	f(k	f(k	VERB
ejpam-1172	87	12	)	)	PUNCT
ejpam-1172	87	13	=	=	SYM
ejpam-1172	88	1	∑k	∑k	PROPN
ejpam-1172	88	2	l=0	l=0	PROPN
ejpam-1172	88	3	g(l)h(k−	g(l)h(k−	PROPN
ejpam-1172	88	4	l	l	NOUN
ejpam-1172	88	5	)	)	PUNCT
ejpam-1172	88	6	theorem	theorem	NOUN
ejpam-1172	88	7	3	3	NUM
ejpam-1172	88	8	.	.	PUNCT
ejpam-1172	89	1	if	if	SCONJ
ejpam-1172	89	2	f	f	PROPN
ejpam-1172	89	3	(	(	PUNCT
ejpam-1172	89	4	x	x	X
ejpam-1172	89	5	)	)	PUNCT
ejpam-1172	89	6	=	=	SYM
ejpam-1172	89	7	g1(x)g2(x	g1(x)g2(x	NOUN
ejpam-1172	89	8	)	)	PUNCT
ejpam-1172	89	9	·	·	PUNCT
ejpam-1172	89	10	·	·	PUNCT
ejpam-1172	89	11	·	·	PUNCT
ejpam-1172	90	1	gn−1(x)gn(x	gn−1(x)gn(x	X
ejpam-1172	90	2	)	)	PUNCT
ejpam-1172	90	3	,	,	PUNCT
ejpam-1172	90	4	then	then	ADV
ejpam-1172	90	5	f(k	f(k	VERB
ejpam-1172	90	6	)	)	PUNCT
ejpam-1172	90	7	=	=	SYM
ejpam-1172	91	1	k	k	X
ejpam-1172	91	2	∑	∑	PUNCT
ejpam-1172	91	3	kn−1=0	kn−1=0	PROPN
ejpam-1172	91	4	kn−1	kn−1	PROPN
ejpam-1172	91	5	∑	∑	PROPN
ejpam-1172	91	6	kn−2=0	kn−2=0	X
ejpam-1172	91	7	·	·	PUNCT
ejpam-1172	91	8	·	·	PUNCT
ejpam-1172	91	9	·	·	PUNCT
ejpam-1172	92	1	k3	k3	VERB
ejpam-1172	92	2	∑	∑	PROPN
ejpam-1172	92	3	k2=0	k2=0	PROPN
ejpam-1172	92	4	k2	k2	PROPN
ejpam-1172	92	5	∑	∑	PUNCT
ejpam-1172	92	6	k1=0	k1=0	PROPN
ejpam-1172	92	7	g1(k1)g2(k2−	g1(k1)g2(k2−	PROPN
ejpam-1172	92	8	k1	k1	NOUN
ejpam-1172	92	9	)	)	PUNCT
ejpam-1172	92	10	·	·	PUNCT
ejpam-1172	92	11	·	·	PUNCT
ejpam-1172	92	12	·	·	PUNCT
ejpam-1172	92	13	gn−1(kn−1	gn−1(kn−1	PROPN
ejpam-1172	92	14	−	−	PROPN
ejpam-1172	92	15	kn−2)gn(k−	kn−2)gn(k−	PROPN
ejpam-1172	92	16	kn−1	kn−1	PROPN
ejpam-1172	92	17	)	)	PUNCT
ejpam-1172	92	18	(	(	PUNCT
ejpam-1172	92	19	17	17	NUM
ejpam-1172	92	20	)	)	PUNCT
ejpam-1172	92	21	theorem	theorem	NOUN
ejpam-1172	92	22	4	4	NUM
ejpam-1172	92	23	.	.	PUNCT
ejpam-1172	93	1	if	if	SCONJ
ejpam-1172	93	2	f	f	PROPN
ejpam-1172	93	3	(	(	PUNCT
ejpam-1172	93	4	x	x	X
ejpam-1172	93	5	)	)	PUNCT
ejpam-1172	93	6	=	=	PUNCT
ejpam-1172	93	7	x	x	SYM
ejpam-1172	93	8	p	p	X
ejpam-1172	93	9	,	,	PUNCT
ejpam-1172	93	10	then	then	ADV
ejpam-1172	93	11	f(k	f(k	VERB
ejpam-1172	93	12	)	)	PUNCT
ejpam-1172	93	13	=	=	PUNCT
ejpam-1172	94	1	δ(k−	δ(k−	NUM
ejpam-1172	94	2	βp	βp	NOUN
ejpam-1172	94	3	)	)	PUNCT
ejpam-1172	94	4	where	where	SCONJ
ejpam-1172	94	5	,	,	PUNCT
ejpam-1172	94	6	δ(k	δ(k	NOUN
ejpam-1172	94	7	)	)	PUNCT
ejpam-1172	94	8	=	=	SYM
ejpam-1172	95	1	¨	¨	NOUN
ejpam-1172	95	2	1	1	NUM
ejpam-1172	95	3	if	if	SCONJ
ejpam-1172	95	4	k	k	PROPN
ejpam-1172	95	5	=	=	NOUN
ejpam-1172	95	6	0	0	NUM
ejpam-1172	95	7	0	0	NUM
ejpam-1172	96	1	if	if	SCONJ
ejpam-1172	96	2	k	k	PROPN
ejpam-1172	96	3	6=	6=	PROPN
ejpam-1172	96	4	0	0	NUM
ejpam-1172	96	5	(	(	PUNCT
ejpam-1172	96	6	18	18	NUM
ejpam-1172	96	7	)	)	PUNCT
ejpam-1172	96	8	theorem	theorem	NOUN
ejpam-1172	96	9	5	5	NUM
ejpam-1172	96	10	.	.	PUNCT
ejpam-1172	97	1	if	if	SCONJ
ejpam-1172	97	2	f	f	PROPN
ejpam-1172	97	3	(	(	PUNCT
ejpam-1172	97	4	x	x	NOUN
ejpam-1172	97	5	)	)	PUNCT
ejpam-1172	97	6	=	=	SYM
ejpam-1172	97	7	dαg(x	dαg(x	PROPN
ejpam-1172	97	8	)	)	PUNCT
ejpam-1172	97	9	,	,	PUNCT
ejpam-1172	97	10	then	then	ADV
ejpam-1172	97	11	f(k	f(k	VERB
ejpam-1172	97	12	)	)	PUNCT
ejpam-1172	97	13	=	=	PUNCT
ejpam-1172	97	14	γ(α+1+k	γ(α+1+k	PROPN
ejpam-1172	97	15	/	/	SYM
ejpam-1172	97	16	β	β	NOUN
ejpam-1172	97	17	)	)	PUNCT
ejpam-1172	97	18	γ(1+k	γ(1+k	PROPN
ejpam-1172	97	19	/	/	SYM
ejpam-1172	97	20	β	β	NOUN
ejpam-1172	97	21	)	)	PUNCT
ejpam-1172	97	22	g(k+αβ	g(k+αβ	PROPN
ejpam-1172	97	23	)	)	PUNCT
ejpam-1172	97	24	theorem	theorem	NOUN
ejpam-1172	97	25	6	6	NUM
ejpam-1172	97	26	.	.	PUNCT
ejpam-1172	98	1	if	if	SCONJ
ejpam-1172	98	2	f	f	PROPN
ejpam-1172	98	3	(	(	PUNCT
ejpam-1172	98	4	x	x	X
ejpam-1172	98	5	)	)	PUNCT
ejpam-1172	98	6	=	=	PUNCT
ejpam-1172	98	7	dα1	dα1	NOUN
ejpam-1172	98	8	g1(x)d	g1(x)d	PUNCT
ejpam-1172	98	9	α2	α2	PROPN
ejpam-1172	98	10	g2(x	g2(x	PROPN
ejpam-1172	98	11	)	)	PUNCT
ejpam-1172	98	12	·	·	PUNCT
ejpam-1172	98	13	·	·	PUNCT
ejpam-1172	99	1	·	·	PUNCT
ejpam-1172	99	2	d	d	X
ejpam-1172	99	3	αn−1	αn−1	ADJ
ejpam-1172	99	4	gn−1(x)d	gn−1(x)d	VERB
ejpam-1172	99	5	αn	αn	NOUN
ejpam-1172	99	6	gn(x	gn(x	PUNCT
ejpam-1172	99	7	)	)	PUNCT
ejpam-1172	99	8	,	,	PUNCT
ejpam-1172	99	9	then	then	ADV
ejpam-1172	99	10	f(k	f(k	VERB
ejpam-1172	99	11	)	)	PUNCT
ejpam-1172	100	1	=	=	SYM
ejpam-1172	100	2	k	k	X
ejpam-1172	100	3	∑	∑	PUNCT
ejpam-1172	100	4	kn−1=0	kn−1=0	PROPN
ejpam-1172	100	5	kn−1	kn−1	PROPN
ejpam-1172	100	6	∑	∑	PROPN
ejpam-1172	100	7	kn−2=0	kn−2=0	X
ejpam-1172	100	8	·	·	PUNCT
ejpam-1172	100	9	·	·	PUNCT
ejpam-1172	100	10	·	·	PUNCT
ejpam-1172	101	1	k3	k3	VERB
ejpam-1172	101	2	∑	∑	PROPN
ejpam-1172	101	3	k2=0	k2=0	PROPN
ejpam-1172	101	4	k2	k2	PROPN
ejpam-1172	101	5	∑	∑	PROPN
ejpam-1172	101	6	k1=0	k1=0	PROPN
ejpam-1172	101	7	γ(α1	γ(α1	VERB
ejpam-1172	101	8	+	+	PUNCT
ejpam-1172	101	9	1	1	NUM
ejpam-1172	101	10	+	+	NUM
ejpam-1172	101	11	k1	k1	NOUN
ejpam-1172	101	12	/	/	SYM
ejpam-1172	101	13	β	β	NOUN
ejpam-1172	101	14	)	)	PUNCT
ejpam-1172	102	1	γ(1	γ(1	PROPN
ejpam-1172	102	2	+	+	NUM
ejpam-1172	102	3	k1	k1	NOUN
ejpam-1172	102	4	/	/	SYM
ejpam-1172	102	5	β	β	NOUN
ejpam-1172	102	6	)	)	PUNCT
ejpam-1172	103	1	γ(α2	γ(α2	NOUN
ejpam-1172	104	1	+	+	PUNCT
ejpam-1172	104	2	1	1	NUM
ejpam-1172	104	3	+	+	NUM
ejpam-1172	104	4	(	(	PUNCT
ejpam-1172	104	5	k2−	k2−	PROPN
ejpam-1172	104	6	k1)/β	k1)/β	NOUN
ejpam-1172	104	7	)	)	PUNCT
ejpam-1172	105	1	γ(1	γ(1	PROPN
ejpam-1172	105	2	+	+	CCONJ
ejpam-1172	105	3	(	(	PUNCT
ejpam-1172	105	4	k2−	k2−	PROPN
ejpam-1172	105	5	k1)/β	k1)/β	PROPN
ejpam-1172	105	6	)	)	PUNCT
ejpam-1172	105	7	·	·	PUNCT
ejpam-1172	105	8	·	·	PUNCT
ejpam-1172	106	1	·	·	PUNCT
ejpam-1172	106	2	×	×	NOUN
ejpam-1172	106	3	γ(αn+	γ(αn+	ADP
ejpam-1172	106	4	1	1	NUM
ejpam-1172	106	5	+	+	CCONJ
ejpam-1172	106	6	(	(	PUNCT
ejpam-1172	106	7	k−	k−	PROPN
ejpam-1172	106	8	kn−1	kn−1	PROPN
ejpam-1172	106	9	/	/	SYM
ejpam-1172	106	10	β	β	NOUN
ejpam-1172	106	11	)	)	PUNCT
ejpam-1172	106	12	γ(1	γ(1	PROPN
ejpam-1172	106	13	+	+	CCONJ
ejpam-1172	106	14	(	(	PUNCT
ejpam-1172	106	15	k−	k−	PROPN
ejpam-1172	106	16	kn−1	kn−1	PROPN
ejpam-1172	106	17	/	/	SYM
ejpam-1172	106	18	β	β	NOUN
ejpam-1172	106	19	)	)	PUNCT
ejpam-1172	106	20	g1(k1	g1(k1	ADP
ejpam-1172	106	21	+	+	PROPN
ejpam-1172	106	22	α1β)g2(k2−	α1β)g2(k2−	NOUN
ejpam-1172	106	23	k1	k1	NOUN
ejpam-1172	106	24	+	+	NOUN
ejpam-1172	106	25	α2β	α2β	NOUN
ejpam-1172	106	26	)	)	PUNCT
ejpam-1172	106	27	·	·	PUNCT
ejpam-1172	106	28	·	·	PUNCT
ejpam-1172	106	29	·	·	PUNCT
ejpam-1172	106	30	gn(k−	gn(k−	PROPN
ejpam-1172	106	31	kn−1	kn−1	PROPN
ejpam-1172	106	32	+	+	PROPN
ejpam-1172	106	33	αnβ	αnβ	PROPN
ejpam-1172	106	34	)	)	PUNCT
ejpam-1172	106	35	where	where	SCONJ
ejpam-1172	106	36	βαi	βαi	NOUN
ejpam-1172	106	37	∈	∈	PROPN
ejpam-1172	106	38	z+	z+	NUM
ejpam-1172	106	39	for	for	ADP
ejpam-1172	106	40	i	i	PROPN
ejpam-1172	106	41	=	=	SYM
ejpam-1172	106	42	1,2	1,2	NUM
ejpam-1172	106	43	,	,	PUNCT
ejpam-1172	106	44	.	.	PUNCT
ejpam-1172	106	45	.	.	PUNCT
ejpam-1172	107	1	.	.	PUNCT
ejpam-1172	108	1	,	,	PUNCT
ejpam-1172	108	2	n.	n.	PROPN
ejpam-1172	108	3	b.	b.	PROPN
ejpam-1172	108	4	i̇bi̧s	i̇bi̧s	PROPN
ejpam-1172	108	5	,	,	PUNCT
ejpam-1172	108	6	m.	m.	NOUN
ejpam-1172	108	7	bayram	bayram	PROPN
ejpam-1172	108	8	and	and	CCONJ
ejpam-1172	108	9	a.	a.	PROPN
ejpam-1172	108	10	ağargün	ağargün	PROPN
ejpam-1172	108	11	/	/	SYM
ejpam-1172	108	12	eur	eur	PROPN
ejpam-1172	108	13	.	.	PUNCT
ejpam-1172	109	1	j.	j.	PROPN
ejpam-1172	109	2	pure	pure	PROPN
ejpam-1172	109	3	appl	appl	PROPN
ejpam-1172	109	4	.	.	PROPN
ejpam-1172	109	5	math	math	PROPN
ejpam-1172	109	6	,	,	PUNCT
ejpam-1172	109	7	4	4	NUM
ejpam-1172	109	8	(	(	PUNCT
ejpam-1172	109	9	2011	2011	NUM
ejpam-1172	109	10	)	)	PUNCT
ejpam-1172	109	11	,	,	PUNCT
ejpam-1172	109	12	129	129	NUM
ejpam-1172	109	13	-	-	SYM
ejpam-1172	109	14	141	141	NUM
ejpam-1172	109	15	133	133	NUM
ejpam-1172	109	16	4	4	NUM
ejpam-1172	109	17	.	.	PUNCT
ejpam-1172	109	18	numerical	numerical	ADJ
ejpam-1172	109	19	examples	example	NOUN
ejpam-1172	109	20	in	in	ADP
ejpam-1172	109	21	order	order	NOUN
ejpam-1172	109	22	to	to	PART
ejpam-1172	109	23	demonstrate	demonstrate	VERB
ejpam-1172	109	24	the	the	DET
ejpam-1172	109	25	effectiveness	effectiveness	NOUN
ejpam-1172	109	26	of	of	ADP
ejpam-1172	109	27	the	the	DET
ejpam-1172	109	28	fractional	fractional	ADJ
ejpam-1172	109	29	differential	differential	NOUN
ejpam-1172	109	30	transform	transform	NOUN
ejpam-1172	109	31	method	method	NOUN
ejpam-1172	109	32	,	,	PUNCT
ejpam-1172	109	33	we	we	PRON
ejpam-1172	109	34	consider	consider	VERB
ejpam-1172	109	35	the	the	DET
ejpam-1172	109	36	following	follow	VERB
ejpam-1172	109	37	fdaes	fdae	NOUN
ejpam-1172	109	38	.	.	PUNCT
ejpam-1172	110	1	all	all	DET
ejpam-1172	110	2	the	the	DET
ejpam-1172	110	3	results	result	NOUN
ejpam-1172	110	4	are	be	AUX
ejpam-1172	110	5	calculated	calculate	VERB
ejpam-1172	110	6	by	by	ADP
ejpam-1172	110	7	using	use	VERB
ejpam-1172	110	8	the	the	DET
ejpam-1172	110	9	symbolic	symbolic	ADJ
ejpam-1172	110	10	calculus	calculus	NOUN
ejpam-1172	110	11	software	software	NOUN
ejpam-1172	110	12	maple	maple	NOUN
ejpam-1172	110	13	.	.	PUNCT
ejpam-1172	111	1	example	example	NOUN
ejpam-1172	112	1	1	1	X
ejpam-1172	112	2	.	.	X
ejpam-1172	112	3	we	we	PRON
ejpam-1172	112	4	consider	consider	VERB
ejpam-1172	112	5	the	the	DET
ejpam-1172	112	6	following	follow	VERB
ejpam-1172	112	7	fractional	fractional	ADJ
ejpam-1172	112	8	differential	differential	ADJ
ejpam-1172	112	9	-	-	PUNCT
ejpam-1172	112	10	algebraic	algebraic	ADJ
ejpam-1172	112	11	equations	equation	NOUN
ejpam-1172	112	12	.	.	PUNCT
ejpam-1172	113	1	dα∗	dα∗	VERB
ejpam-1172	113	2	x(t)−	x(t)−	PROPN
ejpam-1172	113	3	t	t	PROPN
ejpam-1172	113	4	y	y	PROPN
ejpam-1172	113	5	′(t	′(t	PROPN
ejpam-1172	113	6	)	)	PUNCT
ejpam-1172	114	1	+	+	CCONJ
ejpam-1172	114	2	x(t)−	x(t)−	PROPN
ejpam-1172	114	3	(	(	PUNCT
ejpam-1172	114	4	1	1	NUM
ejpam-1172	114	5	+	+	NUM
ejpam-1172	114	6	t)y(t	t)y(t	NOUN
ejpam-1172	114	7	)	)	PUNCT
ejpam-1172	114	8	=	=	SYM
ejpam-1172	114	9	0	0	NUM
ejpam-1172	114	10	,	,	PUNCT
ejpam-1172	114	11	0	0	NUM
ejpam-1172	114	12	<	<	X
ejpam-1172	114	13	α≤	α≤	NUM
ejpam-1172	114	14	1	1	NUM
ejpam-1172	114	15	(	(	PUNCT
ejpam-1172	114	16	19	19	NUM
ejpam-1172	114	17	)	)	PUNCT
ejpam-1172	114	18	y(t)−	y(t)−	PROPN
ejpam-1172	114	19	sin(t	sin(t	PROPN
ejpam-1172	114	20	)	)	PUNCT
ejpam-1172	114	21	=	=	SYM
ejpam-1172	114	22	0	0	NUM
ejpam-1172	114	23	(	(	PUNCT
ejpam-1172	114	24	20	20	NUM
ejpam-1172	114	25	)	)	PUNCT
ejpam-1172	114	26	with	with	ADP
ejpam-1172	114	27	initial	initial	ADJ
ejpam-1172	114	28	conditions	condition	NOUN
ejpam-1172	114	29	as	as	ADP
ejpam-1172	114	30	x(0	x(0	PROPN
ejpam-1172	114	31	)	)	PUNCT
ejpam-1172	114	32	=	=	SYM
ejpam-1172	114	33	1	1	NUM
ejpam-1172	114	34	,	,	PUNCT
ejpam-1172	114	35	y(0	y(0	PROPN
ejpam-1172	114	36	)	)	PUNCT
ejpam-1172	114	37	=	=	SYM
ejpam-1172	114	38	0	0	NUM
ejpam-1172	114	39	(	(	PUNCT
ejpam-1172	114	40	21	21	NUM
ejpam-1172	114	41	)	)	PUNCT
ejpam-1172	114	42	for	for	ADP
ejpam-1172	114	43	the	the	DET
ejpam-1172	114	44	special	special	ADJ
ejpam-1172	114	45	case	case	NOUN
ejpam-1172	114	46	when	when	SCONJ
ejpam-1172	114	47	α	α	PROPN
ejpam-1172	114	48	=	=	VERB
ejpam-1172	114	49	1	1	NUM
ejpam-1172	114	50	the	the	DET
ejpam-1172	114	51	exact	exact	ADJ
ejpam-1172	114	52	solution	solution	NOUN
ejpam-1172	114	53	is	be	AUX
ejpam-1172	114	54	x(t	x(t	PROPN
ejpam-1172	114	55	)	)	PUNCT
ejpam-1172	114	56	=	=	SYM
ejpam-1172	114	57	e−t	e−t	NOUN
ejpam-1172	115	1	+	+	CCONJ
ejpam-1172	115	2	tsin(t	tsin(t	NUM
ejpam-1172	115	3	)	)	PUNCT
ejpam-1172	115	4	,	,	PUNCT
ejpam-1172	115	5	y(t	y(t	NUM
ejpam-1172	115	6	)	)	PUNCT
ejpam-1172	116	1	=	=	SYM
ejpam-1172	116	2	sin(t	sin(t	PROPN
ejpam-1172	116	3	)	)	PUNCT
ejpam-1172	116	4	.	.	PUNCT
ejpam-1172	117	1	eqs.(19)-(20	eqs.(19)-(20	NOUN
ejpam-1172	117	2	)	)	PUNCT
ejpam-1172	117	3	are	be	AUX
ejpam-1172	117	4	transformed	transform	VERB
ejpam-1172	117	5	by	by	ADP
ejpam-1172	117	6	using	use	VERB
ejpam-1172	117	7	theorems	theorem	NOUN
ejpam-1172	117	8	1	1	NUM
ejpam-1172	117	9	,	,	PUNCT
ejpam-1172	117	10	2	2	NUM
ejpam-1172	117	11	,	,	PUNCT
ejpam-1172	117	12	4	4	NUM
ejpam-1172	117	13	,	,	PUNCT
ejpam-1172	117	14	5	5	NUM
ejpam-1172	117	15	and	and	CCONJ
ejpam-1172	117	16	eq.(13	eq.(13	ADJ
ejpam-1172	117	17	)	)	PUNCT
ejpam-1172	117	18	as	as	SCONJ
ejpam-1172	117	19	follows	follow	VERB
ejpam-1172	117	20	:	:	PUNCT
ejpam-1172	117	21	x	x	X
ejpam-1172	117	22	(	(	PUNCT
ejpam-1172	117	23	k+αβ	k+αβ	NOUN
ejpam-1172	117	24	)	)	PUNCT
ejpam-1172	117	25	=	=	PUNCT
ejpam-1172	118	1	γ(1	γ(1	PROPN
ejpam-1172	118	2	+	+	CCONJ
ejpam-1172	118	3	k	k	NOUN
ejpam-1172	118	4	/	/	SYM
ejpam-1172	118	5	β	β	NOUN
ejpam-1172	118	6	)	)	PUNCT
ejpam-1172	118	7	γ(α+	γ(α+	ADP
ejpam-1172	118	8	1	1	NUM
ejpam-1172	118	9	+	+	SYM
ejpam-1172	118	10	k	k	ADJ
ejpam-1172	118	11	/	/	SYM
ejpam-1172	118	12	β	β	NOUN
ejpam-1172	118	13	)	)	PUNCT
ejpam-1172	118	14			NOUN
ejpam-1172	118	15			NOUN
ejpam-1172	118	16	k	k	PUNCT
ejpam-1172	118	17	∑	∑	PUNCT
ejpam-1172	118	18	l=0	l=0	PROPN
ejpam-1172	118	19	�	�	PROPN
ejpam-1172	118	20	γ(2	γ(2	PROPN
ejpam-1172	118	21	+	+	PROPN
ejpam-1172	118	22	l	l	NOUN
ejpam-1172	118	23	/	/	SYM
ejpam-1172	118	24	β	β	NOUN
ejpam-1172	118	25	)	)	PUNCT
ejpam-1172	118	26	γ(1	γ(1	PROPN
ejpam-1172	118	27	+	+	NUM
ejpam-1172	118	28	l	l	NOUN
ejpam-1172	118	29	/	/	SYM
ejpam-1172	118	30	β	β	NOUN
ejpam-1172	118	31	)	)	PUNCT
ejpam-1172	118	32	y	y	PROPN
ejpam-1172	118	33	(	(	PUNCT
ejpam-1172	118	34	l	l	NOUN
ejpam-1172	118	35	+	+	X
ejpam-1172	118	36	β	β	X
ejpam-1172	118	37	)	)	PUNCT
ejpam-1172	119	1	+	+	CCONJ
ejpam-1172	119	2	y	y	PROPN
ejpam-1172	119	3	(	(	PUNCT
ejpam-1172	119	4	l	l	NOUN
ejpam-1172	119	5	)	)	PUNCT
ejpam-1172	119	6	�	�	PROPN
ejpam-1172	119	7	δ(k−	δ(k−	PROPN
ejpam-1172	119	8	l	l	NOUN
ejpam-1172	120	1	−	−	PROPN
ejpam-1172	120	2	β)−	β)−	NOUN
ejpam-1172	120	3	x	x	X
ejpam-1172	120	4	(	(	PUNCT
ejpam-1172	120	5	k)+	k)+	NOUN
ejpam-1172	120	6	y	y	PROPN
ejpam-1172	120	7	(	(	PUNCT
ejpam-1172	120	8	k	k	NOUN
ejpam-1172	120	9	)	)	PUNCT
ejpam-1172	120	10			PROPN
ejpam-1172	120	11			PROPN
ejpam-1172	120	12	(	(	PUNCT
ejpam-1172	120	13	22	22	NUM
ejpam-1172	120	14	)	)	PUNCT
ejpam-1172	120	15	y	y	PROPN
ejpam-1172	120	16	(	(	PUNCT
ejpam-1172	120	17	k	k	NOUN
ejpam-1172	120	18	)	)	PUNCT
ejpam-1172	120	19	=	=	SYM
ejpam-1172	121	1	∞	∞	NUM
ejpam-1172	121	2	∑	∑	PUNCT
ejpam-1172	121	3	i=0	i=0	PROPN
ejpam-1172	121	4	(	(	PUNCT
ejpam-1172	121	5	−1)i	−1)i	X
ejpam-1172	121	6	(	(	PUNCT
ejpam-1172	121	7	2i+	2i+	NUM
ejpam-1172	121	8	1	1	NUM
ejpam-1172	121	9	)	)	PUNCT
ejpam-1172	121	10	!	!	PUNCT
ejpam-1172	122	1	δ(k−	δ(k−	NOUN
ejpam-1172	122	2	β(2i+	β(2i+	ADJ
ejpam-1172	122	3	1	1	NUM
ejpam-1172	122	4	)	)	PUNCT
ejpam-1172	122	5	)	)	PUNCT
ejpam-1172	123	1	(	(	PUNCT
ejpam-1172	123	2	23	23	NUM
ejpam-1172	123	3	)	)	PUNCT
ejpam-1172	123	4	where	where	SCONJ
ejpam-1172	123	5	β	β	PROPN
ejpam-1172	123	6	is	be	AUX
ejpam-1172	123	7	the	the	DET
ejpam-1172	123	8	unknown	unknown	ADJ
ejpam-1172	123	9	value	value	NOUN
ejpam-1172	123	10	of	of	ADP
ejpam-1172	123	11	the	the	DET
ejpam-1172	123	12	fractions	fraction	NOUN
ejpam-1172	123	13	.	.	PUNCT
ejpam-1172	124	1	initial	initial	ADJ
ejpam-1172	124	2	conditions	condition	NOUN
ejpam-1172	124	3	in	in	ADP
ejpam-1172	124	4	eq.(21	eq.(21	NOUN
ejpam-1172	124	5	)	)	PUNCT
ejpam-1172	124	6	are	be	AUX
ejpam-1172	124	7	transformed	transform	VERB
ejpam-1172	124	8	by	by	ADP
ejpam-1172	124	9	using	use	VERB
ejpam-1172	124	10	eq.(16	eq.(16	NOUN
ejpam-1172	124	11	)	)	PUNCT
ejpam-1172	124	12	as	as	SCONJ
ejpam-1172	124	13	follows	follow	VERB
ejpam-1172	124	14	:	:	PUNCT
ejpam-1172	124	15	x	x	SYM
ejpam-1172	124	16	(	(	PUNCT
ejpam-1172	124	17	0	0	NUM
ejpam-1172	124	18	)	)	PUNCT
ejpam-1172	125	1	=	=	SYM
ejpam-1172	125	2	1	1	NUM
ejpam-1172	125	3	,	,	PUNCT
ejpam-1172	125	4	y	y	PROPN
ejpam-1172	125	5	(	(	PUNCT
ejpam-1172	125	6	0	0	NUM
ejpam-1172	125	7	)	)	PUNCT
ejpam-1172	125	8	=	=	SYM
ejpam-1172	125	9	0	0	NUM
ejpam-1172	125	10	,	,	PUNCT
ejpam-1172	125	11	x	x	X
ejpam-1172	125	12	(	(	PUNCT
ejpam-1172	125	13	k	k	NOUN
ejpam-1172	125	14	)	)	PUNCT
ejpam-1172	126	1	=	=	SYM
ejpam-1172	126	2	y	y	PROPN
ejpam-1172	126	3	(	(	PUNCT
ejpam-1172	126	4	k	k	NOUN
ejpam-1172	126	5	)	)	PUNCT
ejpam-1172	126	6	=	=	SYM
ejpam-1172	126	7	0	0	NUM
ejpam-1172	126	8	for	for	ADP
ejpam-1172	126	9	k	k	PROPN
ejpam-1172	126	10	=	=	SYM
ejpam-1172	126	11	1,2	1,2	NUM
ejpam-1172	126	12	,	,	PUNCT
ejpam-1172	126	13	.	.	PUNCT
ejpam-1172	126	14	.	.	PUNCT
ejpam-1172	126	15	.	.	PUNCT
ejpam-1172	127	1	,	,	PUNCT
ejpam-1172	128	1	αβ	αβ	INTJ
ejpam-1172	128	2	−	−	NOUN
ejpam-1172	128	3	1	1	NUM
ejpam-1172	128	4	(	(	PUNCT
ejpam-1172	128	5	24	24	NUM
ejpam-1172	128	6	)	)	PUNCT
ejpam-1172	128	7	from	from	ADP
ejpam-1172	128	8	eqs.(22)-(24	eqs.(22)-(24	NUM
ejpam-1172	128	9	)	)	PUNCT
ejpam-1172	128	10	,	,	PUNCT
ejpam-1172	128	11	x	x	X
ejpam-1172	128	12	(	(	PUNCT
ejpam-1172	128	13	k	k	NOUN
ejpam-1172	128	14	)	)	PUNCT
ejpam-1172	128	15	and	and	CCONJ
ejpam-1172	128	16	y	y	PROPN
ejpam-1172	128	17	(	(	PUNCT
ejpam-1172	128	18	k	k	NOUN
ejpam-1172	128	19	)	)	PUNCT
ejpam-1172	128	20	are	be	AUX
ejpam-1172	128	21	obtained	obtain	VERB
ejpam-1172	128	22	for	for	ADP
ejpam-1172	128	23	different	different	ADJ
ejpam-1172	128	24	values	value	NOUN
ejpam-1172	128	25	of	of	ADP
ejpam-1172	128	26	α	α	NOUN
ejpam-1172	128	27	and	and	CCONJ
ejpam-1172	128	28	using	use	VERB
ejpam-1172	128	29	the	the	DET
ejpam-1172	128	30	inverse	inverse	NOUN
ejpam-1172	128	31	transformation	transformation	NOUN
ejpam-1172	128	32	in	in	ADP
ejpam-1172	128	33	eq.(13	eq.(13	ADJ
ejpam-1172	128	34	)	)	PUNCT
ejpam-1172	128	35	,	,	PUNCT
ejpam-1172	128	36	x(t	x(t	PROPN
ejpam-1172	128	37	)	)	PUNCT
ejpam-1172	128	38	and	and	CCONJ
ejpam-1172	128	39	y(t	y(t	NUM
ejpam-1172	128	40	)	)	PUNCT
ejpam-1172	128	41	are	be	AUX
ejpam-1172	128	42	evaluated.numerical	evaluated.numerical	ADJ
ejpam-1172	128	43	results	result	NOUN
ejpam-1172	128	44	with	with	ADP
ejpam-1172	128	45	comparison	comparison	NOUN
ejpam-1172	128	46	to	to	ADP
ejpam-1172	128	47	ref	ref	NOUN
ejpam-1172	128	48	.	.	PUNCT
ejpam-1172	129	1	[	[	X
ejpam-1172	129	2	26	26	NUM
ejpam-1172	129	3	]	]	PUNCT
ejpam-1172	129	4	is	be	AUX
ejpam-1172	129	5	given	give	VERB
ejpam-1172	129	6	in	in	ADP
ejpam-1172	129	7	table	table	NOUN
ejpam-1172	129	8	1	1	NUM
ejpam-1172	129	9	.	.	PUNCT
ejpam-1172	129	10	example	example	NOUN
ejpam-1172	129	11	2	2	NUM
ejpam-1172	129	12	.	.	X
ejpam-1172	129	13	consider	consider	VERB
ejpam-1172	129	14	the	the	DET
ejpam-1172	129	15	following	follow	VERB
ejpam-1172	129	16	fractional	fractional	ADJ
ejpam-1172	129	17	differential	differential	ADJ
ejpam-1172	129	18	-	-	PUNCT
ejpam-1172	129	19	algebraic	algebraic	ADJ
ejpam-1172	129	20	equations	equation	NOUN
ejpam-1172	129	21	.	.	PUNCT
ejpam-1172	130	1	d	d	X
ejpam-1172	130	2	α1	α1	PROPN
ejpam-1172	130	3	∗	∗	VERB
ejpam-1172	130	4	x(t)−	x(t)−	PROPN
ejpam-1172	130	5	x(t)−	x(t)−	PROPN
ejpam-1172	130	6	z(t)x(t	z(t)x(t	PROPN
ejpam-1172	130	7	)	)	PUNCT
ejpam-1172	130	8	=	=	SYM
ejpam-1172	130	9	1	1	NUM
ejpam-1172	130	10	(	(	PUNCT
ejpam-1172	130	11	25	25	NUM
ejpam-1172	130	12	)	)	PUNCT
ejpam-1172	130	13	d	d	NOUN
ejpam-1172	130	14	α2	α2	ADV
ejpam-1172	130	15	∗	∗	VERB
ejpam-1172	130	16	z(t)−	z(t)−	PROPN
ejpam-1172	130	17	y(t	y(t	PROPN
ejpam-1172	130	18	)	)	PUNCT
ejpam-1172	131	1	+	+	CCONJ
ejpam-1172	132	1	x2(t	x2(t	X
ejpam-1172	132	2	)	)	PUNCT
ejpam-1172	132	3	+	+	CCONJ
ejpam-1172	132	4	z(t	z(t	NOUN
ejpam-1172	132	5	)	)	PUNCT
ejpam-1172	132	6	=	=	SYM
ejpam-1172	132	7	0	0	NUM
ejpam-1172	132	8	,	,	PUNCT
ejpam-1172	132	9	0	0	NUM
ejpam-1172	132	10	<	<	X
ejpam-1172	132	11	α1,α2	α1,α2	PROPN
ejpam-1172	132	12	≤	≤	ADV
ejpam-1172	132	13	1	1	NUM
ejpam-1172	132	14	(	(	PUNCT
ejpam-1172	132	15	26	26	NUM
ejpam-1172	132	16	)	)	PUNCT
ejpam-1172	132	17	y(t)−	y(t)−	PROPN
ejpam-1172	132	18	x2(t	x2(t	PROPN
ejpam-1172	132	19	)	)	PUNCT
ejpam-1172	132	20	=	=	SYM
ejpam-1172	132	21	0	0	NUM
ejpam-1172	132	22	(	(	PUNCT
ejpam-1172	132	23	27	27	NUM
ejpam-1172	132	24	)	)	PUNCT
ejpam-1172	132	25	with	with	ADP
ejpam-1172	132	26	initial	initial	ADJ
ejpam-1172	132	27	conditions	condition	NOUN
ejpam-1172	132	28	as	as	ADP
ejpam-1172	132	29	x(0	x(0	PROPN
ejpam-1172	132	30	)	)	PUNCT
ejpam-1172	132	31	=	=	SYM
ejpam-1172	132	32	y(0	y(0	PROPN
ejpam-1172	132	33	)	)	PUNCT
ejpam-1172	132	34	=	=	PUNCT
ejpam-1172	132	35	z(0	z(0	X
ejpam-1172	132	36	)	)	PUNCT
ejpam-1172	132	37	=	=	SYM
ejpam-1172	132	38	1	1	NUM
ejpam-1172	132	39	(	(	PUNCT
ejpam-1172	132	40	28	28	NUM
ejpam-1172	132	41	)	)	PUNCT
ejpam-1172	132	42	for	for	ADP
ejpam-1172	132	43	α1	α1	PROPN
ejpam-1172	132	44	=	=	SYM
ejpam-1172	132	45	α2	α2	NOUN
ejpam-1172	132	46	=	=	SYM
ejpam-1172	132	47	1	1	NUM
ejpam-1172	132	48	the	the	DET
ejpam-1172	132	49	exact	exact	ADJ
ejpam-1172	132	50	solution	solution	NOUN
ejpam-1172	132	51	is	be	AUX
ejpam-1172	132	52	x(t	x(t	PROPN
ejpam-1172	132	53	)	)	PUNCT
ejpam-1172	132	54	=	=	SYM
ejpam-1172	132	55	et	et	NOUN
ejpam-1172	132	56	,	,	PUNCT
ejpam-1172	132	57	y(t	y(t	PROPN
ejpam-1172	132	58	)	)	PUNCT
ejpam-1172	132	59	=	=	SYM
ejpam-1172	132	60	e2	e2	PROPN
ejpam-1172	132	61	t	t	PROPN
ejpam-1172	132	62	,	,	PUNCT
ejpam-1172	132	63	z(t	z(t	PROPN
ejpam-1172	132	64	)	)	PUNCT
ejpam-1172	132	65	=	=	SYM
ejpam-1172	132	66	e−t	e−t	NOUN
ejpam-1172	132	67	.	.	PUNCT
ejpam-1172	133	1	by	by	ADP
ejpam-1172	133	2	using	use	VERB
ejpam-1172	133	3	theorems	theorem	NOUN
ejpam-1172	133	4	1	1	NUM
ejpam-1172	133	5	,	,	PUNCT
ejpam-1172	133	6	2	2	NUM
ejpam-1172	133	7	,	,	PUNCT
ejpam-1172	133	8	4	4	NUM
ejpam-1172	133	9	,	,	PUNCT
ejpam-1172	133	10	5	5	NUM
ejpam-1172	133	11	and	and	CCONJ
ejpam-1172	133	12	eq.(13	eq.(13	ADJ
ejpam-1172	133	13	)	)	PUNCT
ejpam-1172	133	14	,	,	PUNCT
ejpam-1172	133	15	eqs.(25)-(27	eqs.(25)-(27	PROPN
ejpam-1172	133	16	)	)	PUNCT
ejpam-1172	133	17	are	be	AUX
ejpam-1172	133	18	transformed	transform	VERB
ejpam-1172	133	19	to	to	ADP
ejpam-1172	133	20	,	,	PUNCT
ejpam-1172	133	21	x	x	PROPN
ejpam-1172	133	22	(	(	PUNCT
ejpam-1172	133	23	k+α1β1	k+α1β1	PROPN
ejpam-1172	133	24	)	)	PUNCT
ejpam-1172	133	25	=	=	PUNCT
ejpam-1172	134	1	γ(1	γ(1	PROPN
ejpam-1172	134	2	+	+	CCONJ
ejpam-1172	134	3	k	k	PROPN
ejpam-1172	134	4	/	/	SYM
ejpam-1172	134	5	β1	β1	PROPN
ejpam-1172	134	6	)	)	PUNCT
ejpam-1172	134	7	γ(α1	γ(α1	NOUN
ejpam-1172	135	1	+	+	CCONJ
ejpam-1172	136	1	1	1	NUM
ejpam-1172	136	2	+	+	NUM
ejpam-1172	136	3	k	k	ADJ
ejpam-1172	136	4	/	/	SYM
ejpam-1172	136	5	β1	β1	PROPN
ejpam-1172	136	6	)	)	PUNCT
ejpam-1172	136	7			NOUN
ejpam-1172	136	8	x	x	NOUN
ejpam-1172	136	9	(	(	PUNCT
ejpam-1172	136	10	k)−	k)−	PROPN
ejpam-1172	136	11	k	k	PROPN
ejpam-1172	136	12	∑	∑	PUNCT
ejpam-1172	136	13	l=0	l=0	PROPN
ejpam-1172	136	14	z(l)x	z(l)x	PROPN
ejpam-1172	136	15	(	(	PUNCT
ejpam-1172	136	16	k−	k−	PROPN
ejpam-1172	136	17	l	l	NOUN
ejpam-1172	136	18	)	)	PUNCT
ejpam-1172	137	1	+	+	PUNCT
ejpam-1172	137	2	δ(k	δ(k	NOUN
ejpam-1172	137	3	)	)	PUNCT
ejpam-1172	137	4			PROPN
ejpam-1172	137	5			PROPN
ejpam-1172	137	6	(	(	PUNCT
ejpam-1172	137	7	29	29	NUM
ejpam-1172	137	8	)	)	PUNCT
ejpam-1172	137	9	b.	b.	NOUN
ejpam-1172	137	10	i̇bi̧s	i̇bi̧s	PROPN
ejpam-1172	137	11	,	,	PUNCT
ejpam-1172	137	12	m.	m.	NOUN
ejpam-1172	137	13	bayram	bayram	PROPN
ejpam-1172	137	14	and	and	CCONJ
ejpam-1172	137	15	a.	a.	PROPN
ejpam-1172	137	16	ağargün	ağargün	PROPN
ejpam-1172	137	17	/	/	SYM
ejpam-1172	137	18	eur	eur	PROPN
ejpam-1172	137	19	.	.	PUNCT
ejpam-1172	138	1	j.	j.	PROPN
ejpam-1172	138	2	pure	pure	PROPN
ejpam-1172	138	3	appl	appl	PROPN
ejpam-1172	138	4	.	.	PROPN
ejpam-1172	138	5	math	math	PROPN
ejpam-1172	138	6	,	,	PUNCT
ejpam-1172	138	7	4	4	NUM
ejpam-1172	138	8	(	(	PUNCT
ejpam-1172	138	9	2011	2011	NUM
ejpam-1172	138	10	)	)	PUNCT
ejpam-1172	138	11	,	,	PUNCT
ejpam-1172	138	12	129	129	NUM
ejpam-1172	138	13	-	-	SYM
ejpam-1172	138	14	141	141	NUM
ejpam-1172	138	15	134table	134table	NUM
ejpam-1172	138	16	1	1	NUM
ejpam-1172	138	17	:	:	PUNCT
ejpam-1172	138	18	numeri	numeri	PROPN
ejpam-1172	138	19	al	al	PROPN
ejpam-1172	138	20	results	result	VERB
ejpam-1172	138	21	with	with	ADP
ejpam-1172	138	22	omparison	omparison	NOUN
ejpam-1172	138	23	to	to	PART
ejpam-1172	138	24	ref	ref	VERB
ejpam-1172	138	25	.	.	PUNCT
ejpam-1172	139	1	[	[	X
ejpam-1172	139	2	26	26	NUM
ejpam-1172	139	3	℄	℄	PROPN
ejpam-1172	139	4	in	in	ADP
ejpam-1172	139	5	example	example	NOUN
ejpam-1172	139	6	1	1	NUM
ejpam-1172	139	7	α	α	NOUN
ejpam-1172	139	8	=	=	SYM
ejpam-1172	139	9	0.5	0.5	NUM
ejpam-1172	139	10	α=	α=	NUM
ejpam-1172	139	11	0.75	0.75	NUM
ejpam-1172	139	12	α	α	NOUN
ejpam-1172	139	13	=	=	SYM
ejpam-1172	139	14	1	1	NUM
ejpam-1172	139	15	t	t	NOUN
ejpam-1172	139	16	xham	xham	PROPN
ejpam-1172	140	1	xf	xf	PROPN
ejpam-1172	141	1	dt	dt	PROPN
ejpam-1172	142	1	m	m	VERB
ejpam-1172	142	2	xham	xham	PROPN
ejpam-1172	143	1	xf	xf	PROPN
ejpam-1172	143	2	dt	dt	PROPN
ejpam-1172	144	1	m	m	VERB
ejpam-1172	144	2	xham	xham	PROPN
ejpam-1172	145	1	xf	xf	PROPN
ejpam-1172	145	2	dt	dt	PROPN
ejpam-1172	146	1	m	m	PROPN
ejpam-1172	146	2	xexact	xexact	PROPN
ejpam-1172	146	3	0.0	0.0	NUM
ejpam-1172	146	4	1.0000000	1.0000000	NUM
ejpam-1172	146	5	1.0000000	1.0000000	NUM
ejpam-1172	146	6	1.0000000	1.0000000	NUM
ejpam-1172	146	7	1.0000000	1.0000000	NUM
ejpam-1172	146	8	1.0000000	1.0000000	NUM
ejpam-1172	146	9	1.0000000	1.0000000	NUM
ejpam-1172	146	10	1.0000000	1.0000000	NUM
ejpam-1172	146	11	0.1	0.1	NUM
ejpam-1172	146	12	0.7642925	0.7642925	NUM
ejpam-1172	146	13	0.7642925	0.7642925	NUM
ejpam-1172	146	14	0.8492995	0.8492995	NUM
ejpam-1172	146	15	0.8492996	0.8492996	NUM
ejpam-1172	146	16	0.9148208	0.9148208	NUM
ejpam-1172	146	17	0.9148208	0.9148208	NUM
ejpam-1172	146	18	0.9148208	0.9148208	NUM
ejpam-1172	146	19	0.2	0.2	NUM
ejpam-1172	146	20	0.7545097	0.7545097	NUM
ejpam-1172	146	21	0.7545096	0.7545096	NUM
ejpam-1172	146	22	0.8016696	0.8016696	NUM
ejpam-1172	146	23	0.8016697	0.8016697	NUM
ejpam-1172	146	24	0.8584646	0.8584646	NUM
ejpam-1172	146	25	0.8584646	0.8584646	NUM
ejpam-1172	146	26	0.8584646	0.8584646	NUM
ejpam-1172	146	27	0.3	0.3	NUM
ejpam-1172	146	28	0.7903162	0.7903162	NUM
ejpam-1172	146	29	0.7903162	0.7903162	NUM
ejpam-1172	146	30	0.7979000	0.7979000	NUM
ejpam-1172	147	1	0.7978999	0.7978999	NUM
ejpam-1172	147	2	0.8294743	0.8294743	NUM
ejpam-1172	147	3	0.8294743	0.8294743	NUM
ejpam-1172	147	4	0.8294743	0.8294743	NUM
ejpam-1172	147	5	0.4	0.4	NUM
ejpam-1172	147	6	0.8524950	0.8524950	NUM
ejpam-1172	147	7	0.8524950	0.8524950	NUM
ejpam-1172	148	1	0.8250873	0.8250873	NUM
ejpam-1172	148	2	0.8250871	0.8250871	NUM
ejpam-1172	148	3	0.8260874	0.8260874	NUM
ejpam-1172	148	4	0.8260874	0.8260874	NUM
ejpam-1172	148	5	0.8260874	0.8260874	NUM
ejpam-1172	148	6	0.5	0.5	NUM
ejpam-1172	148	7	0.9323247	0.9323247	NUM
ejpam-1172	148	8	0.9323247	0.9323247	NUM
ejpam-1172	148	9	0.8760146	0.8760146	NUM
ejpam-1172	148	10	0.8760144	0.8760144	NUM
ejpam-1172	148	11	0.8462434	0.8462434	NUM
ejpam-1172	148	12	0.8462434	0.8462434	NUM
ejpam-1172	148	13	0.8462434	0.8462434	NUM
ejpam-1172	148	14	0.6	0.6	NUM
ejpam-1172	148	15	1.0242052	1.0242052	NUM
ejpam-1172	148	16	1.0242052	1.0242052	NUM
ejpam-1172	148	17	0.9454582	0.9454582	NUM
ejpam-1172	148	18	0.9454582	0.9454582	NUM
ejpam-1172	148	19	0.8875971	0.8875971	NUM
ejpam-1172	148	20	0.8875971	0.8875971	NUM
ejpam-1172	148	21	0.8875971	0.8875971	NUM
ejpam-1172	148	22	0.7	0.7	NUM
ejpam-1172	148	23	1.1237906	1.1237906	NUM
ejpam-1172	148	24	1.1237906	1.1237906	NUM
ejpam-1172	148	25	1.0290755	1.0290755	NUM
ejpam-1172	148	26	1.0290757	1.0290757	NUM
ejpam-1172	148	27	0.9475377	0.9475377	NUM
ejpam-1172	148	28	0.9475377	0.9475377	NUM
ejpam-1172	148	29	0.9475377	0.9475377	NUM
ejpam-1172	148	30	0.8	0.8	NUM
ejpam-1172	148	31	1.2273291	1.2273291	NUM
ejpam-1172	148	32	1.2273291	1.2273291	NUM
ejpam-1172	148	33	1.1229592	1.1229592	NUM
ejpam-1172	148	34	1.1229595	1.1229595	NUM
ejpam-1172	148	35	1.0232138	1.0232138	NUM
ejpam-1172	148	36	1.0232138	1.0232138	NUM
ejpam-1172	148	37	1.0232138	1.0232138	NUM
ejpam-1172	148	38	0.9	0.9	NUM
ejpam-1172	148	39	1.3313916	1.3313916	NUM
ejpam-1172	148	40	1.3313915	1.3313915	NUM
ejpam-1172	148	41	1.2234363	1.2234363	NUM
ejpam-1172	148	42	1.2234368	1.2234368	NUM
ejpam-1172	148	43	1.1115639	1.1115639	NUM
ejpam-1172	148	44	1.1115639	1.1115639	NUM
ejpam-1172	148	45	1.1115639	1.1115639	NUM
ejpam-1172	148	46	1.0	1.0	NUM
ejpam-1172	148	47	1.4327552	1.4327552	NUM
ejpam-1172	148	48	1.4327552	1.4327552	NUM
ejpam-1172	148	49	1.3269757	1.3269757	NUM
ejpam-1172	148	50	1.3269767	1.3269767	NUM
ejpam-1172	148	51	1.2093505	1.2093505	NUM
ejpam-1172	148	52	1.2093504	1.2093504	NUM
ejpam-1172	148	53	1.2093504	1.2093504	NUM
ejpam-1172	148	54	z(k+α2β2	z(k+α2β2	NOUN
ejpam-1172	148	55	)	)	PUNCT
ejpam-1172	148	56	=	=	PUNCT
ejpam-1172	149	1	γ(1	γ(1	PROPN
ejpam-1172	149	2	+	+	CCONJ
ejpam-1172	149	3	k	k	ADJ
ejpam-1172	149	4	/	/	SYM
ejpam-1172	149	5	β2	β2	NOUN
ejpam-1172	149	6	)	)	PUNCT
ejpam-1172	150	1	γ(α2	γ(α2	NOUN
ejpam-1172	151	1	+	+	PUNCT
ejpam-1172	151	2	1	1	NUM
ejpam-1172	151	3	+	+	NUM
ejpam-1172	151	4	k	k	ADJ
ejpam-1172	151	5	/	/	SYM
ejpam-1172	151	6	β2	β2	ADJ
ejpam-1172	151	7	)	)	PUNCT
ejpam-1172	151	8			NOUN
ejpam-1172	151	9	y	y	PROPN
ejpam-1172	151	10	(	(	PUNCT
ejpam-1172	151	11	k)−	k)−	PROPN
ejpam-1172	151	12	k	k	PROPN
ejpam-1172	151	13	∑	∑	PUNCT
ejpam-1172	151	14	l=0	l=0	PROPN
ejpam-1172	151	15	x	x	X
ejpam-1172	151	16	(	(	PUNCT
ejpam-1172	151	17	l)x	l)x	X
ejpam-1172	151	18	(	(	PUNCT
ejpam-1172	151	19	k−	k−	PROPN
ejpam-1172	151	20	l)−	l)−	PROPN
ejpam-1172	151	21	z(k	z(k	PROPN
ejpam-1172	151	22	)	)	PUNCT
ejpam-1172	151	23			PROPN
ejpam-1172	151	24			PROPN
ejpam-1172	151	25	(	(	PUNCT
ejpam-1172	151	26	30	30	NUM
ejpam-1172	151	27	)	)	PUNCT
ejpam-1172	151	28	y	y	PROPN
ejpam-1172	151	29	(	(	PUNCT
ejpam-1172	151	30	k	k	NOUN
ejpam-1172	151	31	)	)	PUNCT
ejpam-1172	151	32	=	=	SYM
ejpam-1172	152	1	k	k	X
ejpam-1172	152	2	∑	∑	PUNCT
ejpam-1172	152	3	l=0	l=0	PROPN
ejpam-1172	152	4	x	x	X
ejpam-1172	152	5	(	(	PUNCT
ejpam-1172	152	6	l)x	l)x	X
ejpam-1172	152	7	(	(	PUNCT
ejpam-1172	152	8	k−	k−	NOUN
ejpam-1172	152	9	l	l	NOUN
ejpam-1172	152	10	)	)	PUNCT
ejpam-1172	152	11	(	(	PUNCT
ejpam-1172	152	12	31	31	NUM
ejpam-1172	152	13	)	)	PUNCT
ejpam-1172	152	14	where	where	SCONJ
ejpam-1172	152	15	β1	β1	PROPN
ejpam-1172	152	16	and	and	CCONJ
ejpam-1172	152	17	β2	β2	NOUN
ejpam-1172	152	18	are	be	AUX
ejpam-1172	152	19	the	the	DET
ejpam-1172	152	20	unknown	unknown	ADJ
ejpam-1172	152	21	values	value	NOUN
ejpam-1172	152	22	of	of	ADP
ejpam-1172	152	23	the	the	DET
ejpam-1172	152	24	fractions	fraction	NOUN
ejpam-1172	152	25	and	and	CCONJ
ejpam-1172	152	26	β	β	X
ejpam-1172	152	27	=	=	PUNCT
ejpam-1172	152	28	lc	lc	PROPN
ejpam-1172	152	29	m(β1,β2	m(β1,β2	NOUN
ejpam-1172	152	30	)	)	PUNCT
ejpam-1172	152	31	.	.	PUNCT
ejpam-1172	153	1	from	from	ADP
ejpam-1172	153	2	eq.(16	eq.(16	NOUN
ejpam-1172	153	3	)	)	PUNCT
ejpam-1172	153	4	,	,	PUNCT
ejpam-1172	153	5	initial	initial	ADJ
ejpam-1172	153	6	conditions	condition	NOUN
ejpam-1172	153	7	in	in	ADP
ejpam-1172	153	8	eq.(28	eq.(28	NOUN
ejpam-1172	153	9	)	)	PUNCT
ejpam-1172	153	10	can	can	AUX
ejpam-1172	153	11	be	be	AUX
ejpam-1172	153	12	transformed	transform	VERB
ejpam-1172	153	13	as	as	SCONJ
ejpam-1172	153	14	follows	follow	VERB
ejpam-1172	153	15	:	:	PUNCT
ejpam-1172	153	16	x	x	SYM
ejpam-1172	153	17	(	(	PUNCT
ejpam-1172	153	18	0	0	NUM
ejpam-1172	153	19	)	)	PUNCT
ejpam-1172	153	20	=	=	PUNCT
ejpam-1172	153	21	z(0	z(0	X
ejpam-1172	153	22	)	)	PUNCT
ejpam-1172	153	23	=	=	SYM
ejpam-1172	153	24	1	1	NUM
ejpam-1172	153	25	,	,	PUNCT
ejpam-1172	153	26	x	x	X
ejpam-1172	153	27	(	(	PUNCT
ejpam-1172	153	28	k	k	NOUN
ejpam-1172	153	29	)	)	PUNCT
ejpam-1172	153	30	=	=	SYM
ejpam-1172	153	31	0	0	NUM
ejpam-1172	153	32	,	,	PUNCT
ejpam-1172	153	33	k	k	NOUN
ejpam-1172	153	34	=	=	SYM
ejpam-1172	153	35	1,2	1,2	NUM
ejpam-1172	153	36	,	,	PUNCT
ejpam-1172	153	37	.	.	PUNCT
ejpam-1172	153	38	.	.	PUNCT
ejpam-1172	154	1	.	.	PUNCT
ejpam-1172	155	1	,	,	PUNCT
ejpam-1172	155	2	α1β1	α1β1	PROPN
ejpam-1172	155	3	−	−	NOUN
ejpam-1172	155	4	1	1	NUM
ejpam-1172	155	5	,	,	PUNCT
ejpam-1172	155	6	z(k	z(k	NOUN
ejpam-1172	155	7	)	)	PUNCT
ejpam-1172	155	8	=	=	SYM
ejpam-1172	156	1	0	0	NUM
ejpam-1172	156	2	,	,	PUNCT
ejpam-1172	156	3	k	k	NOUN
ejpam-1172	156	4	=	=	SYM
ejpam-1172	156	5	1,2	1,2	NUM
ejpam-1172	156	6	,	,	PUNCT
ejpam-1172	156	7	.	.	PUNCT
ejpam-1172	156	8	.	.	PUNCT
ejpam-1172	156	9	.	.	PUNCT
ejpam-1172	157	1	,	,	PUNCT
ejpam-1172	157	2	α2β2−	α2β2−	NOUN
ejpam-1172	157	3	1	1	NUM
ejpam-1172	157	4	(	(	PUNCT
ejpam-1172	157	5	32	32	NUM
ejpam-1172	157	6	)	)	PUNCT
ejpam-1172	157	7	from	from	ADP
ejpam-1172	157	8	eqs.(29)-(32	eqs.(29)-(32	ADJ
ejpam-1172	157	9	)	)	PUNCT
ejpam-1172	157	10	,	,	PUNCT
ejpam-1172	157	11	x	x	X
ejpam-1172	157	12	(	(	PUNCT
ejpam-1172	157	13	k	k	NOUN
ejpam-1172	157	14	)	)	PUNCT
ejpam-1172	157	15	,	,	PUNCT
ejpam-1172	157	16	y	y	PROPN
ejpam-1172	157	17	(	(	PUNCT
ejpam-1172	157	18	k	k	NOUN
ejpam-1172	157	19	)	)	PUNCT
ejpam-1172	157	20	and	and	CCONJ
ejpam-1172	157	21	z(k	z(k	PROPN
ejpam-1172	157	22	)	)	PUNCT
ejpam-1172	157	23	are	be	AUX
ejpam-1172	157	24	calculated	calculate	VERB
ejpam-1172	157	25	and	and	CCONJ
ejpam-1172	157	26	using	use	VERB
ejpam-1172	157	27	the	the	DET
ejpam-1172	157	28	inverse	inverse	NOUN
ejpam-1172	157	29	transformation	transformation	NOUN
ejpam-1172	157	30	rule	rule	NOUN
ejpam-1172	157	31	in	in	ADP
ejpam-1172	157	32	eq.(13	eq.(13	NOUN
ejpam-1172	157	33	)	)	PUNCT
ejpam-1172	157	34	,	,	PUNCT
ejpam-1172	157	35	x(t),y(t	x(t),y(t	PROPN
ejpam-1172	157	36	)	)	PUNCT
ejpam-1172	157	37	and	and	CCONJ
ejpam-1172	157	38	z(t	z(t	NOUN
ejpam-1172	157	39	)	)	PUNCT
ejpam-1172	157	40	are	be	AUX
ejpam-1172	157	41	calculated	calculate	VERB
ejpam-1172	157	42	for	for	ADP
ejpam-1172	157	43	different	different	ADJ
ejpam-1172	157	44	values	value	NOUN
ejpam-1172	157	45	of	of	ADP
ejpam-1172	157	46	α1	α1	PROPN
ejpam-1172	157	47	and	and	CCONJ
ejpam-1172	157	48	α2	α2	PROPN
ejpam-1172	157	49	.	.	PUNCT
ejpam-1172	158	1	numerical	numerical	ADJ
ejpam-1172	158	2	comparisons	comparison	NOUN
ejpam-1172	158	3	are	be	AUX
ejpam-1172	158	4	given	give	VERB
ejpam-1172	158	5	in	in	ADP
ejpam-1172	158	6	table	table	NOUN
ejpam-1172	158	7	2-3-4.table	2-3-4.table	ADJ
ejpam-1172	158	8	2	2	NUM
ejpam-1172	158	9	:	:	PUNCT
ejpam-1172	158	10	numeri	numeri	PROPN
ejpam-1172	158	11	al	al	PROPN
ejpam-1172	158	12	results	result	NOUN
ejpam-1172	158	13	of	of	ADP
ejpam-1172	158	14	x(t	x(t	PROPN
ejpam-1172	158	15	)	)	PUNCT
ejpam-1172	158	16	with	with	ADP
ejpam-1172	158	17	omparison	omparison	NOUN
ejpam-1172	158	18	to	to	PART
ejpam-1172	158	19	ham	ham	VERB
ejpam-1172	158	20	in	in	ADP
ejpam-1172	158	21	example	example	NOUN
ejpam-1172	158	22	2	2	NUM
ejpam-1172	158	23	α	α	NOUN
ejpam-1172	158	24	=	=	SYM
ejpam-1172	158	25	0.5	0.5	NUM
ejpam-1172	158	26	α=	α=	NUM
ejpam-1172	158	27	0.75	0.75	NUM
ejpam-1172	158	28	α	α	NOUN
ejpam-1172	158	29	=	=	SYM
ejpam-1172	158	30	1	1	NUM
ejpam-1172	158	31	t	t	NOUN
ejpam-1172	158	32	xham	xham	PROPN
ejpam-1172	158	33	xf	xf	PROPN
ejpam-1172	159	1	dt	dt	PROPN
ejpam-1172	159	2	m	m	VERB
ejpam-1172	159	3	xham	xham	PROPN
ejpam-1172	160	1	xf	xf	PROPN
ejpam-1172	160	2	dt	dt	PROPN
ejpam-1172	161	1	m	m	VERB
ejpam-1172	161	2	xham	xham	PROPN
ejpam-1172	162	1	xf	xf	PROPN
ejpam-1172	162	2	dt	dt	PROPN
ejpam-1172	163	1	m	m	PROPN
ejpam-1172	163	2	xexact	xexact	PROPN
ejpam-1172	163	3	0.0	0.0	NUM
ejpam-1172	163	4	1.0000000	1.0000000	NUM
ejpam-1172	163	5	1.0000000	1.0000000	NUM
ejpam-1172	163	6	1.0000000	1.0000000	NUM
ejpam-1172	163	7	1.0000000	1.0000000	NUM
ejpam-1172	163	8	1.0000000	1.0000000	NUM
ejpam-1172	163	9	1.0000000	1.0000000	NUM
ejpam-1172	163	10	1.0000000	1.0000000	NUM
ejpam-1172	163	11	0.1	0.1	NUM
ejpam-1172	163	12	1.4678849	1.4678849	NUM
ejpam-1172	163	13	1.4678849	1.4678849	NUM
ejpam-1172	163	14	1.2187069	1.2187069	NUM
ejpam-1172	163	15	1.2187069	1.2187069	NUM
ejpam-1172	163	16	1.1051709	1.1051709	NUM
ejpam-1172	163	17	1.1051709	1.1051709	NUM
ejpam-1172	163	18	1.1051709	1.1051709	NUM
ejpam-1172	163	19	0.2	0.2	NUM
ejpam-1172	163	20	1.7411322	1.7411322	NUM
ejpam-1172	163	21	1.7411322	1.7411322	NUM
ejpam-1172	163	22	1.4000280	1.4000280	NUM
ejpam-1172	163	23	1.4000280	1.4000280	NUM
ejpam-1172	163	24	1.2214028	1.2214028	NUM
ejpam-1172	163	25	1.2214028	1.2214028	NUM
ejpam-1172	163	26	1.2214028	1.2214028	NUM
ejpam-1172	163	27	0.3	0.3	NUM
ejpam-1172	163	28	1.9927891	1.9927891	NUM
ejpam-1172	163	29	1.9927891	1.9927891	NUM
ejpam-1172	163	30	1.5841270	1.5841270	NUM
ejpam-1172	163	31	1.5841270	1.5841270	NUM
ejpam-1172	163	32	1.3498588	1.3498588	NUM
ejpam-1172	163	33	1.3498588	1.3498588	NUM
ejpam-1172	163	34	1.3498588	1.3498588	NUM
ejpam-1172	163	35	0.4	0.4	NUM
ejpam-1172	163	36	2.2392557	2.2392557	NUM
ejpam-1172	163	37	2.2392557	2.2392557	NUM
ejpam-1172	163	38	1.7769089	1.7769089	NUM
ejpam-1172	163	39	1.7769089	1.7769089	NUM
ejpam-1172	163	40	1.4918247	1.4918247	NUM
ejpam-1172	163	41	1.4918247	1.4918247	NUM
ejpam-1172	163	42	1.4918247	1.4918247	NUM
ejpam-1172	163	43	0.5	0.5	NUM
ejpam-1172	163	44	2.4871415	2.4871415	NUM
ejpam-1172	163	45	2.4871415	2.4871415	NUM
ejpam-1172	163	46	1.9813870	1.9813870	NUM
ejpam-1172	163	47	1.9813870	1.9813870	NUM
ejpam-1172	163	48	1.6487213	1.6487213	NUM
ejpam-1172	163	49	1.6487213	1.6487213	NUM
ejpam-1172	163	50	1.6487213	1.6487213	NUM
ejpam-1172	163	51	0.6	0.6	NUM
ejpam-1172	163	52	2.7401183	2.7401183	NUM
ejpam-1172	163	53	2.7401183	2.7401183	NUM
ejpam-1172	163	54	2.1997453	2.1997453	NUM
ejpam-1172	163	55	2.1997453	2.1997453	NUM
ejpam-1172	163	56	1.8221188	1.8221188	NUM
ejpam-1172	163	57	1.8221188	1.8221188	NUM
ejpam-1172	163	58	1.8221188	1.8221188	NUM
ejpam-1172	163	59	0.7	0.7	NUM
ejpam-1172	163	60	3.0006469	3.0006469	NUM
ejpam-1172	163	61	3.0006469	3.0006469	NUM
ejpam-1172	163	62	2.4338838	2.4338838	NUM
ejpam-1172	163	63	2.4338838	2.4338838	NUM
ejpam-1172	163	64	2.0137527	2.0137527	NUM
ejpam-1172	163	65	2.0137527	2.0137527	NUM
ejpam-1172	163	66	2.0137527	2.0137527	NUM
ejpam-1172	163	67	0.8	0.8	NUM
ejpam-1172	163	68	3.2706054	3.2706054	NUM
ejpam-1172	163	69	3.2706054	3.2706054	NUM
ejpam-1172	163	70	2.6856249	2.6856249	NUM
ejpam-1172	163	71	2.6856249	2.6856249	NUM
ejpam-1172	163	72	2.2255409	2.2255409	NUM
ejpam-1172	163	73	2.2255409	2.2255409	NUM
ejpam-1172	163	74	2.2255409	2.2255409	NUM
ejpam-1172	163	75	0.9	0.9	NUM
ejpam-1172	163	76	3.5515666	3.5515666	NUM
ejpam-1172	163	77	3.5515666	3.5515666	NUM
ejpam-1172	163	78	2.9568131	2.9568131	NUM
ejpam-1172	163	79	2.9568125	2.9568125	NUM
ejpam-1172	163	80	2.4596031	2.4596031	NUM
ejpam-1172	163	81	2.4596031	2.4596031	NUM
ejpam-1172	163	82	2.4596031	2.4596031	NUM
ejpam-1172	163	83	1.0	1.0	NUM
ejpam-1172	163	84	3.8450351	3.8450351	NUM
ejpam-1172	163	85	3.8450346	3.8450346	NUM
ejpam-1172	163	86	3.2493750	3.2493750	NUM
ejpam-1172	163	87	3.2493684	3.2493684	NUM
ejpam-1172	163	88	2.7182818	2.7182818	NUM
ejpam-1172	163	89	2.7182818	2.7182818	NUM
ejpam-1172	163	90	2.7182818	2.7182818	NUM
ejpam-1172	163	91	b.	b.	PROPN
ejpam-1172	163	92	i̇bi̧s	i̇bi̧s	PROPN
ejpam-1172	163	93	,	,	PUNCT
ejpam-1172	163	94	m.	m.	NOUN
ejpam-1172	163	95	bayram	bayram	PROPN
ejpam-1172	163	96	and	and	CCONJ
ejpam-1172	163	97	a.	a.	PROPN
ejpam-1172	163	98	ağargün	ağargün	PROPN
ejpam-1172	163	99	/	/	SYM
ejpam-1172	163	100	eur	eur	PROPN
ejpam-1172	163	101	.	.	PUNCT
ejpam-1172	164	1	j.	j.	PROPN
ejpam-1172	164	2	pure	pure	PROPN
ejpam-1172	164	3	appl	appl	PROPN
ejpam-1172	164	4	.	.	PROPN
ejpam-1172	164	5	math	math	PROPN
ejpam-1172	164	6	,	,	PUNCT
ejpam-1172	164	7	4	4	NUM
ejpam-1172	164	8	(	(	PUNCT
ejpam-1172	164	9	2011	2011	NUM
ejpam-1172	164	10	)	)	PUNCT
ejpam-1172	164	11	,	,	PUNCT
ejpam-1172	164	12	129	129	NUM
ejpam-1172	164	13	-	-	SYM
ejpam-1172	164	14	141	141	NUM
ejpam-1172	164	15	135table	135table	PROPN
ejpam-1172	164	16	3	3	NUM
ejpam-1172	164	17	:	:	PUNCT
ejpam-1172	164	18	numeri	numeri	PROPN
ejpam-1172	164	19	al	al	PROPN
ejpam-1172	164	20	results	result	NOUN
ejpam-1172	164	21	of	of	ADP
ejpam-1172	164	22	y(t	y(t	PROPN
ejpam-1172	164	23	)	)	PUNCT
ejpam-1172	164	24	with	with	ADP
ejpam-1172	164	25	omparison	omparison	NOUN
ejpam-1172	164	26	to	to	PART
ejpam-1172	164	27	ham	ham	VERB
ejpam-1172	164	28	in	in	ADP
ejpam-1172	164	29	example	example	NOUN
ejpam-1172	164	30	2	2	NUM
ejpam-1172	164	31	α	α	NOUN
ejpam-1172	164	32	=	=	SYM
ejpam-1172	164	33	0.5	0.5	NUM
ejpam-1172	164	34	α	α	NOUN
ejpam-1172	164	35	=	=	NOUN
ejpam-1172	164	36	0.75	0.75	NUM
ejpam-1172	164	37	α	α	NOUN
ejpam-1172	164	38	=	=	SYM
ejpam-1172	164	39	1	1	NUM
ejpam-1172	164	40	t	t	NOUN
ejpam-1172	164	41	xham	xham	PROPN
ejpam-1172	165	1	xf	xf	PROPN
ejpam-1172	166	1	dt	dt	PROPN
ejpam-1172	167	1	m	m	VERB
ejpam-1172	167	2	xham	xham	PROPN
ejpam-1172	168	1	xf	xf	PROPN
ejpam-1172	168	2	dt	dt	PROPN
ejpam-1172	169	1	m	m	VERB
ejpam-1172	169	2	xham	xham	PROPN
ejpam-1172	170	1	xf	xf	PROPN
ejpam-1172	170	2	dt	dt	PROPN
ejpam-1172	171	1	m	m	PROPN
ejpam-1172	171	2	xexact	xexact	PROPN
ejpam-1172	171	3	0.0	0.0	NUM
ejpam-1172	171	4	1.0000000	1.0000000	NUM
ejpam-1172	171	5	1.0000000	1.0000000	NUM
ejpam-1172	171	6	1.0000000	1.0000000	NUM
ejpam-1172	171	7	1.0000000	1.0000000	NUM
ejpam-1172	171	8	1.0000000	1.0000000	NUM
ejpam-1172	171	9	1.0000000	1.0000000	NUM
ejpam-1172	171	10	1.0000000	1.0000000	NUM
ejpam-1172	171	11	0.1	0.1	NUM
ejpam-1172	171	12	2.1546862	2.1546862	NUM
ejpam-1172	171	13	2.1546862	2.1546862	NUM
ejpam-1172	171	14	1.4852465	1.4852465	NUM
ejpam-1172	171	15	1.4852465	1.4852465	NUM
ejpam-1172	171	16	1.2214028	1.2214028	NUM
ejpam-1172	171	17	1.2214028	1.2214028	NUM
ejpam-1172	171	18	1.2214028	1.2214028	NUM
ejpam-1172	171	19	0.2	0.2	NUM
ejpam-1172	171	20	3.0315412	3.0315412	NUM
ejpam-1172	171	21	3.0315412	3.0315412	NUM
ejpam-1172	171	22	1.9600784	1.9600784	NUM
ejpam-1172	171	23	1.9600784	1.9600784	NUM
ejpam-1172	171	24	1.4918247	1.4918247	NUM
ejpam-1172	171	25	1.4918247	1.4918247	NUM
ejpam-1172	171	26	1.4918247	1.4918247	NUM
ejpam-1172	171	27	0.3	0.3	NUM
ejpam-1172	171	28	3.9712084	3.9712084	NUM
ejpam-1172	171	29	3.9712084	3.9712084	NUM
ejpam-1172	171	30	2.5094586	2.5094586	NUM
ejpam-1172	171	31	2.5094586	2.5094586	NUM
ejpam-1172	171	32	1.8221188	1.8221188	NUM
ejpam-1172	171	33	1.8221188	1.8221188	NUM
ejpam-1172	171	34	1.8221188	1.8221188	NUM
ejpam-1172	171	35	0.4	0.4	NUM
ejpam-1172	171	36	5.0142660	5.0142660	NUM
ejpam-1172	171	37	5.0142660	5.0142660	NUM
ejpam-1172	171	38	3.1574052	3.1574052	NUM
ejpam-1172	171	39	3.1574052	3.1574052	NUM
ejpam-1172	171	40	2.2255409	2.2255409	NUM
ejpam-1172	171	41	2.2255409	2.2255409	NUM
ejpam-1172	171	42	2.2255409	2.2255409	NUM
ejpam-1172	171	43	0.5	0.5	NUM
ejpam-1172	171	44	6.1858731	6.1858731	NUM
ejpam-1172	171	45	6.1858732	6.1858732	NUM
ejpam-1172	171	46	3.9258942	3.9258942	NUM
ejpam-1172	171	47	3.9258942	3.9258942	NUM
ejpam-1172	171	48	2.7182815	2.7182815	NUM
ejpam-1172	171	49	2.7182818	2.7182818	NUM
ejpam-1172	171	50	2.7182815	2.7182815	NUM
ejpam-1172	171	51	0.6	0.6	NUM
ejpam-1172	171	52	7.5082482	7.5082482	NUM
ejpam-1172	171	53	7.5082482	7.5082482	NUM
ejpam-1172	171	54	4.8388794	4.8388794	NUM
ejpam-1172	172	1	4.8388794	4.8388794	NUM
ejpam-1172	172	2	3.3201150	3.3201150	NUM
ejpam-1172	172	3	3.3201169	3.3201169	NUM
ejpam-1172	172	4	3.3201169	3.3201169	NUM
ejpam-1172	172	5	0.7	0.7	NUM
ejpam-1172	172	6	9.0038821	9.0038821	NUM
ejpam-1172	172	7	9.0038821	9.0038821	NUM
ejpam-1172	172	8	5.9237902	5.9237902	NUM
ejpam-1172	173	1	5.9237903	5.9237903	NUM
ejpam-1172	173	2	4.0551908	4.0551908	NUM
ejpam-1172	173	3	4.0552000	4.0552000	NUM
ejpam-1172	173	4	4.0552000	4.0552000	NUM
ejpam-1172	173	5	0.8	0.8	NUM
ejpam-1172	173	6	10.6968505	10.6968505	NUM
ejpam-1172	173	7	10.696866	10.696866	NUM
ejpam-1172	173	8	7.2125789	7.2125789	NUM
ejpam-1172	173	9	7.2125809	7.2125809	NUM
ejpam-1172	173	10	4.9529970	4.9529970	NUM
ejpam-1172	173	11	4.9530324	4.9530324	NUM
ejpam-1172	173	12	4.9530324	4.9530324	NUM
ejpam-1172	173	13	0.9	0.9	NUM
ejpam-1172	173	14	12.6037326	12.6037326	NUM
ejpam-1172	173	15	12.603625	12.603625	NUM
ejpam-1172	173	16	8.7427133	8.7427133	NUM
ejpam-1172	173	17	8.7427398	8.7427398	NUM
ejpam-1172	173	18	6.0495302	6.0495302	NUM
ejpam-1172	173	19	6.0496475	6.0496475	NUM
ejpam-1172	173	20	6.0496475	6.0496475	NUM
ejpam-1172	173	21	1.0	1.0	NUM
ejpam-1172	173	22	14.7830711	14.7830711	NUM
ejpam-1172	173	23	14.784077	14.784077	NUM
ejpam-1172	173	24	10.558121	10.558121	NUM
ejpam-1172	173	25	10.558395	10.558395	NUM
ejpam-1172	174	1	7.3887125	7.3887125	NUM
ejpam-1172	174	2	7.3890561	7.3890561	NUM
ejpam-1172	174	3	7.3890561table	7.3890561table	NUM
ejpam-1172	174	4	4	4	NUM
ejpam-1172	174	5	:	:	PUNCT
ejpam-1172	174	6	numeri	numeri	PROPN
ejpam-1172	174	7	al	al	PROPN
ejpam-1172	174	8	results	result	NOUN
ejpam-1172	174	9	of	of	ADP
ejpam-1172	174	10	z(t	z(t	NOUN
ejpam-1172	174	11	)	)	PUNCT
ejpam-1172	174	12	with	with	ADP
ejpam-1172	174	13	omparison	omparison	NOUN
ejpam-1172	174	14	to	to	PART
ejpam-1172	174	15	ham	ham	VERB
ejpam-1172	174	16	in	in	ADP
ejpam-1172	174	17	example	example	NOUN
ejpam-1172	174	18	2	2	NUM
ejpam-1172	174	19	α	α	NOUN
ejpam-1172	174	20	=	=	SYM
ejpam-1172	174	21	0.5	0.5	NUM
ejpam-1172	174	22	α=	α=	NUM
ejpam-1172	174	23	0.75	0.75	NUM
ejpam-1172	174	24	α	α	NOUN
ejpam-1172	174	25	=	=	SYM
ejpam-1172	174	26	1	1	NUM
ejpam-1172	174	27	t	t	NOUN
ejpam-1172	174	28	xham	xham	PROPN
ejpam-1172	174	29	xf	xf	PROPN
ejpam-1172	175	1	dt	dt	PROPN
ejpam-1172	175	2	m	m	VERB
ejpam-1172	175	3	xham	xham	PROPN
ejpam-1172	176	1	xf	xf	PROPN
ejpam-1172	176	2	dt	dt	PROPN
ejpam-1172	177	1	m	m	VERB
ejpam-1172	177	2	xham	xham	PROPN
ejpam-1172	178	1	xf	xf	PROPN
ejpam-1172	178	2	dt	dt	PROPN
ejpam-1172	179	1	m	m	PROPN
ejpam-1172	179	2	xexact	xexact	PROPN
ejpam-1172	179	3	0.0	0.0	NUM
ejpam-1172	179	4	1.0000000	1.0000000	NUM
ejpam-1172	179	5	1.0000000	1.0000000	NUM
ejpam-1172	179	6	1.0000000	1.0000000	NUM
ejpam-1172	179	7	1.0000000	1.0000000	NUM
ejpam-1172	179	8	1.0000000	1.0000000	NUM
ejpam-1172	179	9	1.0000000	1.0000000	NUM
ejpam-1172	179	10	1.0000000	1.0000000	NUM
ejpam-1172	179	11	0.1	0.1	NUM
ejpam-1172	179	12	0.7235784	0.7235784	NUM
ejpam-1172	179	13	0.7235784	0.7235784	NUM
ejpam-1172	179	14	0.8282505	0.8282505	NUM
ejpam-1172	179	15	0.8282505	0.8282505	NUM
ejpam-1172	179	16	0.9048374	0.9048374	NUM
ejpam-1172	179	17	0.9048374	0.9048374	NUM
ejpam-1172	179	18	0.9048374	0.9048374	NUM
ejpam-1172	179	19	0.2	0.2	NUM
ejpam-1172	179	20	0.6437883	0.6437883	NUM
ejpam-1172	179	21	0.6437883	0.6437883	NUM
ejpam-1172	179	22	0.7325847	0.7325847	NUM
ejpam-1172	179	23	0.7325847	0.7325847	NUM
ejpam-1172	179	24	0.8187308	0.8187308	NUM
ejpam-1172	179	25	0.8187308	0.8187308	NUM
ejpam-1172	179	26	0.8187308	0.8187308	NUM
ejpam-1172	179	27	0.3	0.3	NUM
ejpam-1172	179	28	0.5920184	0.5920184	NUM
ejpam-1172	179	29	0.5920184	0.5920184	NUM
ejpam-1172	179	30	0.6603375	0.6603375	NUM
ejpam-1172	179	31	0.6603375	0.6603375	NUM
ejpam-1172	179	32	0.7408182	0.7408182	NUM
ejpam-1172	179	33	0.7408182	0.7408182	NUM
ejpam-1172	179	34	0.7408182	0.7408182	NUM
ejpam-1172	179	35	0.4	0.4	NUM
ejpam-1172	179	36	0.5536063	0.5536063	NUM
ejpam-1172	179	37	0.5536063	0.5536063	NUM
ejpam-1172	179	38	0.6021211	0.6021211	NUM
ejpam-1172	179	39	0.6021211	0.6021211	NUM
ejpam-1172	179	40	0.6703201	0.6703201	NUM
ejpam-1172	179	41	0.6703201	0.6703201	NUM
ejpam-1172	179	42	0.6703201	0.6703201	NUM
ejpam-1172	179	43	0.5	0.5	NUM
ejpam-1172	179	44	0.5231566	0.5231566	NUM
ejpam-1172	179	45	0.5231566	0.5231566	NUM
ejpam-1172	179	46	0.5536026	0.5536026	NUM
ejpam-1172	179	47	0.5536026	0.5536026	NUM
ejpam-1172	179	48	0.6065307	0.6065307	NUM
ejpam-1172	179	49	0.6065307	0.6065307	NUM
ejpam-1172	179	50	0.6065307	0.6065307	NUM
ejpam-1172	179	51	0.6	0.6	NUM
ejpam-1172	179	52	0.4980246	0.4980246	NUM
ejpam-1172	179	53	0.4980246	0.4980246	NUM
ejpam-1172	179	54	0.5122851	0.5122851	NUM
ejpam-1172	179	55	0.5122851	0.5122851	NUM
ejpam-1172	179	56	0.5488116	0.5488116	NUM
ejpam-1172	179	57	0.5488116	0.5488116	NUM
ejpam-1172	179	58	0.5488116	0.5488116	NUM
ejpam-1172	179	59	0.7	0.7	NUM
ejpam-1172	179	60	0.4767027	0.4767027	NUM
ejpam-1172	179	61	0.4767027	0.4767027	NUM
ejpam-1172	179	62	0.4765549	0.4765549	NUM
ejpam-1172	179	63	0.4765549	0.4765549	NUM
ejpam-1172	179	64	0.4965853	0.4965853	NUM
ejpam-1172	179	65	0.4965853	0.4965853	NUM
ejpam-1172	179	66	0.4965853	0.4965853	NUM
ejpam-1172	179	67	0.8	0.8	NUM
ejpam-1172	179	68	0.4582460	0.4582460	NUM
ejpam-1172	179	69	0.4582460	0.4582460	NUM
ejpam-1172	179	70	0.4452924	0.4452924	NUM
ejpam-1172	179	71	0.4452924	0.4452924	NUM
ejpam-1172	179	72	0.4493290	0.4493290	NUM
ejpam-1172	179	73	0.4493290	0.4493290	NUM
ejpam-1172	179	74	0.4493290	0.4493290	NUM
ejpam-1172	179	75	0.9	0.9	NUM
ejpam-1172	179	76	0.4420214	0.4420214	NUM
ejpam-1172	179	77	0.4420214	0.4420214	NUM
ejpam-1172	179	78	0.4176820	0.4176820	NUM
ejpam-1172	179	79	0.4176821	0.4176821	NUM
ejpam-1172	179	80	0.4065697	0.4065697	NUM
ejpam-1172	179	81	0.4065697	0.4065697	NUM
ejpam-1172	179	82	0.4065697	0.4065697	NUM
ejpam-1172	179	83	1.0	1.0	NUM
ejpam-1172	179	84	0.4275836	0.4275836	NUM
ejpam-1172	179	85	0.4275836	0.4275836	NUM
ejpam-1172	179	86	0.3931083	0.3931083	NUM
ejpam-1172	179	87	0.3931083	0.3931083	NUM
ejpam-1172	179	88	0.3678795	0.3678795	NUM
ejpam-1172	179	89	0.3678794	0.3678794	NUM
ejpam-1172	179	90	0.3678794	0.3678794	NUM
ejpam-1172	179	91	example	example	NOUN
ejpam-1172	179	92	3	3	NUM
ejpam-1172	179	93	.	.	X
ejpam-1172	179	94	consider	consider	VERB
ejpam-1172	179	95	the	the	DET
ejpam-1172	179	96	following	follow	VERB
ejpam-1172	179	97	fractional	fractional	ADJ
ejpam-1172	179	98	differentialalgebraic	differentialalgebraic	ADJ
ejpam-1172	179	99	equations	equation	NOUN
ejpam-1172	179	100	.	.	PUNCT
ejpam-1172	180	1	x(t	x(t	PROPN
ejpam-1172	180	2	)	)	PUNCT
ejpam-1172	181	1	+	+	CCONJ
ejpam-1172	181	2	y(t	y(t	NOUN
ejpam-1172	181	3	)	)	PUNCT
ejpam-1172	181	4	=	=	SYM
ejpam-1172	182	1	e−t	e−t	NOUN
ejpam-1172	182	2	+	+	CCONJ
ejpam-1172	182	3	sin(t	sin(t	NUM
ejpam-1172	182	4	)	)	PUNCT
ejpam-1172	182	5	(	(	PUNCT
ejpam-1172	182	6	33	33	NUM
ejpam-1172	182	7	)	)	PUNCT
ejpam-1172	182	8	dα∗	dα∗	NOUN
ejpam-1172	182	9	x(t	x(t	PROPN
ejpam-1172	182	10	)	)	PUNCT
ejpam-1172	183	1	+	+	CCONJ
ejpam-1172	183	2	x(t)−	x(t)−	PROPN
ejpam-1172	183	3	y(t	y(t	PROPN
ejpam-1172	183	4	)	)	PUNCT
ejpam-1172	184	1	+	+	NUM
ejpam-1172	184	2	sin(t	sin(t	X
ejpam-1172	184	3	)	)	PUNCT
ejpam-1172	184	4	=	=	SYM
ejpam-1172	184	5	0	0	NUM
ejpam-1172	184	6	,	,	PUNCT
ejpam-1172	184	7	0	0	NUM
ejpam-1172	184	8	<	<	X
ejpam-1172	184	9	α	α	PRON
ejpam-1172	184	10	≤	≤	NUM
ejpam-1172	184	11	1	1	NUM
ejpam-1172	184	12	(	(	PUNCT
ejpam-1172	184	13	34	34	NUM
ejpam-1172	184	14	)	)	PUNCT
ejpam-1172	184	15	with	with	ADP
ejpam-1172	184	16	initial	initial	ADJ
ejpam-1172	184	17	conditions	condition	NOUN
ejpam-1172	184	18	as	as	ADP
ejpam-1172	184	19	x(0	x(0	PROPN
ejpam-1172	184	20	)	)	PUNCT
ejpam-1172	184	21	=	=	SYM
ejpam-1172	184	22	1	1	NUM
ejpam-1172	184	23	,	,	PUNCT
ejpam-1172	184	24	y(0	y(0	PROPN
ejpam-1172	184	25	)	)	PUNCT
ejpam-1172	184	26	=	=	SYM
ejpam-1172	184	27	0	0	NUM
ejpam-1172	184	28	(	(	PUNCT
ejpam-1172	184	29	35	35	NUM
ejpam-1172	184	30	)	)	PUNCT
ejpam-1172	184	31	for	for	ADP
ejpam-1172	184	32	the	the	DET
ejpam-1172	184	33	special	special	ADJ
ejpam-1172	184	34	case	case	NOUN
ejpam-1172	184	35	when	when	SCONJ
ejpam-1172	184	36	α	α	PROPN
ejpam-1172	184	37	=	=	VERB
ejpam-1172	184	38	1	1	NUM
ejpam-1172	184	39	the	the	DET
ejpam-1172	184	40	exact	exact	ADJ
ejpam-1172	184	41	solution	solution	NOUN
ejpam-1172	184	42	is	be	AUX
ejpam-1172	184	43	x(t	x(t	PROPN
ejpam-1172	184	44	)	)	PUNCT
ejpam-1172	184	45	=	=	SYM
ejpam-1172	184	46	e−t	e−t	NOUN
ejpam-1172	184	47	,	,	PUNCT
ejpam-1172	184	48	y(t	y(t	NUM
ejpam-1172	184	49	)	)	PUNCT
ejpam-1172	184	50	=	=	SYM
ejpam-1172	184	51	sin(t	sin(t	PROPN
ejpam-1172	184	52	)	)	PUNCT
ejpam-1172	184	53	.	.	PUNCT
ejpam-1172	185	1	eqs.(33)(34	eqs.(33)(34	NOUN
ejpam-1172	185	2	)	)	PUNCT
ejpam-1172	185	3	are	be	AUX
ejpam-1172	185	4	transformed	transform	VERB
ejpam-1172	185	5	by	by	ADP
ejpam-1172	185	6	using	use	VERB
ejpam-1172	185	7	theorems	theorem	NOUN
ejpam-1172	185	8	1	1	NUM
ejpam-1172	185	9	,	,	PUNCT
ejpam-1172	185	10	4	4	NUM
ejpam-1172	185	11	and	and	CCONJ
ejpam-1172	185	12	5	5	NUM
ejpam-1172	185	13	as	as	SCONJ
ejpam-1172	185	14	follows	follow	VERB
ejpam-1172	185	15	:	:	PUNCT
ejpam-1172	185	16	y	y	PROPN
ejpam-1172	185	17	(	(	PUNCT
ejpam-1172	185	18	k	k	NOUN
ejpam-1172	185	19	)	)	PUNCT
ejpam-1172	185	20	=	=	SYM
ejpam-1172	185	21	−x	−x	NOUN
ejpam-1172	185	22	(	(	PUNCT
ejpam-1172	185	23	k	k	NOUN
ejpam-1172	185	24	)	)	PUNCT
ejpam-1172	185	25	+	+	NUM
ejpam-1172	185	26	e(k	e(k	NOUN
ejpam-1172	185	27	)	)	PUNCT
ejpam-1172	185	28	+	+	CCONJ
ejpam-1172	185	29	s(k	s(k	ADV
ejpam-1172	185	30	)	)	PUNCT
ejpam-1172	185	31	(	(	PUNCT
ejpam-1172	185	32	36	36	NUM
ejpam-1172	185	33	)	)	PUNCT
ejpam-1172	185	34	x	x	SYM
ejpam-1172	185	35	(	(	PUNCT
ejpam-1172	185	36	k+αβ	k+αβ	NOUN
ejpam-1172	185	37	)	)	PUNCT
ejpam-1172	185	38	=	=	PUNCT
ejpam-1172	186	1	γ(1	γ(1	PROPN
ejpam-1172	186	2	+	+	CCONJ
ejpam-1172	186	3	k	k	NOUN
ejpam-1172	186	4	/	/	SYM
ejpam-1172	186	5	β	β	NOUN
ejpam-1172	186	6	)	)	PUNCT
ejpam-1172	186	7	γ(α+	γ(α+	ADP
ejpam-1172	186	8	1	1	NUM
ejpam-1172	186	9	+	+	SYM
ejpam-1172	186	10	k	k	NOUN
ejpam-1172	186	11	/	/	SYM
ejpam-1172	186	12	β	β	NOUN
ejpam-1172	186	13	)	)	PUNCT
ejpam-1172	187	1	[	[	X
ejpam-1172	187	2	−x	−x	INTJ
ejpam-1172	187	3	(	(	PUNCT
ejpam-1172	187	4	k)+	k)+	NOUN
ejpam-1172	187	5	y	y	PROPN
ejpam-1172	187	6	(	(	PUNCT
ejpam-1172	187	7	k)−	k)−	PROPN
ejpam-1172	187	8	s(k	s(k	ADV
ejpam-1172	187	9	)	)	PUNCT
ejpam-1172	187	10	]	]	PUNCT
ejpam-1172	187	11	(	(	PUNCT
ejpam-1172	187	12	37	37	NUM
ejpam-1172	187	13	)	)	PUNCT
ejpam-1172	187	14	b.	b.	NOUN
ejpam-1172	187	15	i̇bi̧s	i̇bi̧s	PROPN
ejpam-1172	187	16	,	,	PUNCT
ejpam-1172	187	17	m.	m.	NOUN
ejpam-1172	187	18	bayram	bayram	PROPN
ejpam-1172	187	19	and	and	CCONJ
ejpam-1172	187	20	a.	a.	PROPN
ejpam-1172	187	21	ağargün	ağargün	PROPN
ejpam-1172	187	22	/	/	SYM
ejpam-1172	187	23	eur	eur	PROPN
ejpam-1172	187	24	.	.	PUNCT
ejpam-1172	188	1	j.	j.	PROPN
ejpam-1172	188	2	pure	pure	PROPN
ejpam-1172	188	3	appl	appl	PROPN
ejpam-1172	188	4	.	.	PROPN
ejpam-1172	188	5	math	math	PROPN
ejpam-1172	188	6	,	,	PUNCT
ejpam-1172	188	7	4	4	NUM
ejpam-1172	188	8	(	(	PUNCT
ejpam-1172	188	9	2011	2011	NUM
ejpam-1172	188	10	)	)	PUNCT
ejpam-1172	188	11	,	,	PUNCT
ejpam-1172	188	12	129	129	NUM
ejpam-1172	188	13	-	-	SYM
ejpam-1172	188	14	141	141	NUM
ejpam-1172	188	15	136	136	NUM
ejpam-1172	188	16	where	where	SCONJ
ejpam-1172	188	17	β	β	PROPN
ejpam-1172	188	18	is	be	AUX
ejpam-1172	188	19	the	the	DET
ejpam-1172	188	20	unknown	unknown	ADJ
ejpam-1172	188	21	value	value	NOUN
ejpam-1172	188	22	of	of	ADP
ejpam-1172	188	23	the	the	DET
ejpam-1172	188	24	fractions	fraction	NOUN
ejpam-1172	188	25	,	,	PUNCT
ejpam-1172	188	26	e(k	e(k	NOUN
ejpam-1172	188	27	)	)	PUNCT
ejpam-1172	188	28	and	and	CCONJ
ejpam-1172	188	29	s(k	s(k	ADV
ejpam-1172	188	30	)	)	PUNCT
ejpam-1172	188	31	are	be	AUX
ejpam-1172	188	32	the	the	DET
ejpam-1172	188	33	fractional	fractional	ADJ
ejpam-1172	188	34	differential	differential	ADJ
ejpam-1172	188	35	transform	transform	NOUN
ejpam-1172	188	36	of	of	ADP
ejpam-1172	188	37	x(t	x(t	PROPN
ejpam-1172	188	38	)	)	PUNCT
ejpam-1172	188	39	=	=	SYM
ejpam-1172	188	40	e−t	e−t	NOUN
ejpam-1172	188	41	and	and	CCONJ
ejpam-1172	188	42	y(t	y(t	NUM
ejpam-1172	188	43	)	)	PUNCT
ejpam-1172	189	1	=	=	SYM
ejpam-1172	189	2	sin(t	sin(t	PROPN
ejpam-1172	189	3	)	)	PUNCT
ejpam-1172	189	4	that	that	PRON
ejpam-1172	189	5	can	can	AUX
ejpam-1172	189	6	be	be	AUX
ejpam-1172	189	7	evaluated	evaluate	VERB
ejpam-1172	189	8	using	use	VERB
ejpam-1172	189	9	eq.(13	eq.(13	NOUN
ejpam-1172	189	10	)	)	PUNCT
ejpam-1172	189	11	as	as	ADP
ejpam-1172	189	12	e(k	e(k	NOUN
ejpam-1172	189	13	)	)	PUNCT
ejpam-1172	189	14	=	=	SYM
ejpam-1172	189	15	(	(	PUNCT
ejpam-1172	189	16	(	(	PUNCT
ejpam-1172	189	17	−1)k	−1)k	NOUN
ejpam-1172	189	18	/	/	SYM
ejpam-1172	189	19	β	β	X
ejpam-1172	189	20	(	(	PUNCT
ejpam-1172	189	21	k	k	X
ejpam-1172	189	22	/	/	SYM
ejpam-1172	189	23	β	β	NOUN
ejpam-1172	189	24	)	)	PUNCT
ejpam-1172	189	25	!	!	PUNCT
ejpam-1172	190	1	if	if	SCONJ
ejpam-1172	190	2	k	k	X
ejpam-1172	190	3	/	/	SYM
ejpam-1172	190	4	β	β	X
ejpam-1172	190	5	∈	∈	NOUN
ejpam-1172	190	6	z+	z+	NUM
ejpam-1172	190	7	0	0	PUNCT
ejpam-1172	190	8	if	if	SCONJ
ejpam-1172	190	9	k	k	X
ejpam-1172	190	10	/	/	SYM
ejpam-1172	190	11	β	β	X
ejpam-1172	190	12	/∈	/∈	X
ejpam-1172	190	13	z+	z+	NUM
ejpam-1172	190	14	(	(	PUNCT
ejpam-1172	190	15	38	38	NUM
ejpam-1172	190	16	)	)	PUNCT
ejpam-1172	190	17	s(k	s(k	ADV
ejpam-1172	190	18	)	)	PUNCT
ejpam-1172	190	19	=	=	SYM
ejpam-1172	190	20	∞	∞	NUM
ejpam-1172	190	21	∑	∑	PUNCT
ejpam-1172	190	22	i=0	i=0	PROPN
ejpam-1172	190	23	(	(	PUNCT
ejpam-1172	190	24	−1)i	−1)i	X
ejpam-1172	190	25	(	(	PUNCT
ejpam-1172	190	26	2i+	2i+	NUM
ejpam-1172	190	27	1	1	NUM
ejpam-1172	190	28	)	)	PUNCT
ejpam-1172	190	29	!	!	PUNCT
ejpam-1172	191	1	δ(k−	δ(k−	NOUN
ejpam-1172	191	2	β(2i+	β(2i+	ADJ
ejpam-1172	191	3	1	1	NUM
ejpam-1172	191	4	)	)	PUNCT
ejpam-1172	191	5	)	)	PUNCT
ejpam-1172	191	6	(	(	PUNCT
ejpam-1172	191	7	39	39	NUM
ejpam-1172	191	8	)	)	PUNCT
ejpam-1172	191	9	from	from	ADP
ejpam-1172	191	10	eq.(16	eq.(16	NOUN
ejpam-1172	191	11	)	)	PUNCT
ejpam-1172	191	12	,	,	PUNCT
ejpam-1172	191	13	initial	initial	ADJ
ejpam-1172	191	14	conditions	condition	NOUN
ejpam-1172	191	15	in	in	ADP
ejpam-1172	191	16	eq.(35	eq.(35	NOUN
ejpam-1172	191	17	)	)	PUNCT
ejpam-1172	191	18	can	can	AUX
ejpam-1172	191	19	be	be	AUX
ejpam-1172	191	20	transformed	transform	VERB
ejpam-1172	191	21	as	as	SCONJ
ejpam-1172	191	22	follows	follow	VERB
ejpam-1172	191	23	:	:	PUNCT
ejpam-1172	191	24	x	x	SYM
ejpam-1172	191	25	(	(	PUNCT
ejpam-1172	191	26	0	0	NUM
ejpam-1172	191	27	)	)	PUNCT
ejpam-1172	191	28	=	=	SYM
ejpam-1172	191	29	1	1	NUM
ejpam-1172	191	30	,	,	PUNCT
ejpam-1172	191	31	y	y	PROPN
ejpam-1172	191	32	(	(	PUNCT
ejpam-1172	191	33	0	0	NUM
ejpam-1172	191	34	)	)	PUNCT
ejpam-1172	191	35	=	=	SYM
ejpam-1172	192	1	0	0	NUM
ejpam-1172	192	2	,	,	PUNCT
ejpam-1172	192	3	x	x	X
ejpam-1172	192	4	(	(	PUNCT
ejpam-1172	192	5	k	k	NOUN
ejpam-1172	192	6	)	)	PUNCT
ejpam-1172	192	7	=	=	SYM
ejpam-1172	193	1	y	y	PROPN
ejpam-1172	193	2	(	(	PUNCT
ejpam-1172	193	3	k	k	NOUN
ejpam-1172	193	4	)	)	PUNCT
ejpam-1172	193	5	=	=	SYM
ejpam-1172	193	6	0	0	NUM
ejpam-1172	193	7	,	,	PUNCT
ejpam-1172	193	8	for	for	ADP
ejpam-1172	193	9	k	k	PROPN
ejpam-1172	193	10	=	=	SYM
ejpam-1172	193	11	1,2	1,2	NUM
ejpam-1172	193	12	,	,	PUNCT
ejpam-1172	193	13	.	.	PUNCT
ejpam-1172	193	14	.	.	PUNCT
ejpam-1172	193	15	.	.	PUNCT
ejpam-1172	194	1	,	,	PUNCT
ejpam-1172	195	1	αβ	αβ	INTJ
ejpam-1172	195	2	−	−	NOUN
ejpam-1172	195	3	1	1	NUM
ejpam-1172	195	4	(	(	PUNCT
ejpam-1172	195	5	40	40	NUM
ejpam-1172	195	6	)	)	PUNCT
ejpam-1172	195	7	from	from	ADP
ejpam-1172	195	8	eqs.(38)-(40	eqs.(38)-(40	NUM
ejpam-1172	195	9	)	)	PUNCT
ejpam-1172	195	10	,	,	PUNCT
ejpam-1172	195	11	x	x	X
ejpam-1172	195	12	(	(	PUNCT
ejpam-1172	195	13	k	k	NOUN
ejpam-1172	195	14	)	)	PUNCT
ejpam-1172	195	15	and	and	CCONJ
ejpam-1172	195	16	y	y	PROPN
ejpam-1172	195	17	(	(	PUNCT
ejpam-1172	195	18	k	k	NOUN
ejpam-1172	195	19	)	)	PUNCT
ejpam-1172	195	20	are	be	AUX
ejpam-1172	195	21	calculated	calculate	VERB
ejpam-1172	195	22	and	and	CCONJ
ejpam-1172	195	23	using	use	VERB
ejpam-1172	195	24	the	the	DET
ejpam-1172	195	25	inverse	inverse	NOUN
ejpam-1172	195	26	transformation	transformation	NOUN
ejpam-1172	195	27	rule	rule	NOUN
ejpam-1172	195	28	in	in	ADP
ejpam-1172	195	29	eq.(13	eq.(13	ADJ
ejpam-1172	195	30	)	)	PUNCT
ejpam-1172	195	31	,	,	PUNCT
ejpam-1172	195	32	x(t	x(t	PROPN
ejpam-1172	195	33	)	)	PUNCT
ejpam-1172	195	34	and	and	CCONJ
ejpam-1172	195	35	y(t	y(t	NUM
ejpam-1172	195	36	)	)	PUNCT
ejpam-1172	195	37	are	be	AUX
ejpam-1172	195	38	calculated	calculate	VERB
ejpam-1172	195	39	for	for	ADP
ejpam-1172	195	40	different	different	ADJ
ejpam-1172	195	41	values	value	NOUN
ejpam-1172	195	42	of	of	ADP
ejpam-1172	195	43	.	.	PUNCT
ejpam-1172	196	1	numerical	numerical	ADJ
ejpam-1172	196	2	comparisons	comparison	NOUN
ejpam-1172	196	3	are	be	AUX
ejpam-1172	196	4	given	give	VERB
ejpam-1172	196	5	in	in	ADP
ejpam-1172	196	6	table	table	NOUN
ejpam-1172	196	7	5-6.table	5-6.table	ADJ
ejpam-1172	196	8	5	5	NUM
ejpam-1172	196	9	:	:	PUNCT
ejpam-1172	196	10	numeri	numeri	PROPN
ejpam-1172	196	11	al	al	PROPN
ejpam-1172	196	12	results	result	NOUN
ejpam-1172	196	13	of	of	ADP
ejpam-1172	196	14	x(t	x(t	PROPN
ejpam-1172	196	15	)	)	PUNCT
ejpam-1172	196	16	with	with	ADP
ejpam-1172	196	17	omparison	omparison	NOUN
ejpam-1172	196	18	to	to	PART
ejpam-1172	196	19	ham	ham	VERB
ejpam-1172	196	20	in	in	ADP
ejpam-1172	196	21	example	example	NOUN
ejpam-1172	196	22	3	3	NUM
ejpam-1172	196	23	α	α	NOUN
ejpam-1172	196	24	=	=	SYM
ejpam-1172	196	25	0.5	0.5	NUM
ejpam-1172	196	26	α=	α=	NUM
ejpam-1172	196	27	0.75	0.75	NUM
ejpam-1172	196	28	α	α	NOUN
ejpam-1172	196	29	=	=	SYM
ejpam-1172	196	30	1	1	NUM
ejpam-1172	196	31	t	t	NOUN
ejpam-1172	196	32	xham	xham	PROPN
ejpam-1172	196	33	xf	xf	PROPN
ejpam-1172	197	1	dt	dt	PROPN
ejpam-1172	197	2	m	m	VERB
ejpam-1172	197	3	xham	xham	PROPN
ejpam-1172	198	1	xf	xf	PROPN
ejpam-1172	198	2	dt	dt	PROPN
ejpam-1172	199	1	m	m	VERB
ejpam-1172	199	2	xham	xham	PROPN
ejpam-1172	200	1	xf	xf	PROPN
ejpam-1172	200	2	dt	dt	PROPN
ejpam-1172	201	1	m	m	PROPN
ejpam-1172	201	2	xexact	xexact	PROPN
ejpam-1172	201	3	0.0	0.0	NUM
ejpam-1172	201	4	1.0000000	1.0000000	NUM
ejpam-1172	201	5	1.0000000	1.0000000	NUM
ejpam-1172	201	6	1.0000000	1.0000000	NUM
ejpam-1172	201	7	1.0000000	1.0000000	NUM
ejpam-1172	201	8	1.0000000	1.0000000	NUM
ejpam-1172	201	9	1.0000000	1.0000000	NUM
ejpam-1172	201	10	1.0000000	1.0000000	NUM
ejpam-1172	201	11	0.1	0.1	NUM
ejpam-1172	201	12	0.7608910	0.7608910	NUM
ejpam-1172	201	13	0.7608910	0.7608910	NUM
ejpam-1172	201	14	0.8373931	0.8373931	NUM
ejpam-1172	201	15	0.8373931	0.8373931	NUM
ejpam-1172	201	16	0.9048374	0.9048374	NUM
ejpam-1172	201	17	0.9048374	0.9048374	NUM
ejpam-1172	201	18	0.9048374	0.9048374	NUM
ejpam-1172	201	19	0.2	0.2	NUM
ejpam-1172	201	20	0.6909262	0.6909262	NUM
ejpam-1172	201	21	0.6909262	0.6909262	NUM
ejpam-1172	201	22	0.7494391	0.7494391	NUM
ejpam-1172	201	23	0.7494391	0.7494391	NUM
ejpam-1172	201	24	0.8187308	0.8187308	NUM
ejpam-1172	201	25	0.8187308	0.8187308	NUM
ejpam-1172	201	26	0.8187308	0.8187308	NUM
ejpam-1172	201	27	0.3	0.3	NUM
ejpam-1172	201	28	0.6396502	0.6396502	NUM
ejpam-1172	201	29	0.6396502	0.6396502	NUM
ejpam-1172	201	30	0.6816129	0.6816129	NUM
ejpam-1172	201	31	0.6816129	0.6816129	NUM
ejpam-1172	201	32	0.7408182	0.7408182	NUM
ejpam-1172	202	1	0.7408182	0.7408182	NUM
ejpam-1172	202	2	0.7408182	0.7408182	NUM
ejpam-1172	202	3	0.4	0.4	NUM
ejpam-1172	202	4	0.5970878	0.5970878	NUM
ejpam-1172	202	5	0.5970877	0.5970877	NUM
ejpam-1172	202	6	0.6250322	0.6250322	NUM
ejpam-1172	202	7	0.6250322	0.6250322	NUM
ejpam-1172	202	8	0.6703201	0.6703201	NUM
ejpam-1172	202	9	0.6703201	0.6703201	NUM
ejpam-1172	202	10	0.6703201	0.6703201	NUM
ejpam-1172	202	11	0.5	0.5	NUM
ejpam-1172	202	12	0.5599926	0.5599926	NUM
ejpam-1172	202	13	0.5599926	0.5599926	NUM
ejpam-1172	202	14	0.5760122	0.5760122	NUM
ejpam-1172	202	15	0.5760122	0.5760122	NUM
ejpam-1172	202	16	0.6065307	0.6065307	NUM
ejpam-1172	202	17	0.6065307	0.6065307	NUM
ejpam-1172	202	18	0.6065307	0.6065307	NUM
ejpam-1172	202	19	0.6	0.6	NUM
ejpam-1172	202	20	0.5268894	0.5268894	NUM
ejpam-1172	202	21	0.5268894	0.5268894	NUM
ejpam-1172	202	22	0.5326238	0.5326238	NUM
ejpam-1172	202	23	0.5326238	0.5326238	NUM
ejpam-1172	202	24	0.5488116	0.5488116	NUM
ejpam-1172	202	25	0.5488116	0.5488116	NUM
ejpam-1172	202	26	0.5488116	0.5488116	NUM
ejpam-1172	202	27	0.7	0.7	NUM
ejpam-1172	202	28	0.4969640	0.4969640	NUM
ejpam-1172	202	29	0.4969640	0.4969640	NUM
ejpam-1172	202	30	0.4937128	0.4937128	NUM
ejpam-1172	202	31	0.4937128	0.4937128	NUM
ejpam-1172	202	32	0.4965853	0.4965853	NUM
ejpam-1172	202	33	0.4965853	0.4965853	NUM
ejpam-1172	202	34	0.4965853	0.4965853	NUM
ejpam-1172	202	35	0.8	0.8	NUM
ejpam-1172	202	36	0.4697022	0.4697022	NUM
ejpam-1172	202	37	0.4697024	0.4697024	NUM
ejpam-1172	202	38	0.4585197	0.4585197	NUM
ejpam-1172	202	39	0.4585198	0.4585198	NUM
ejpam-1172	202	40	0.4493290	0.4493290	NUM
ejpam-1172	202	41	0.4493290	0.4493290	NUM
ejpam-1172	202	42	0.4493290	0.4493290	NUM
ejpam-1172	202	43	0.9	0.9	NUM
ejpam-1172	202	44	0.4447448	0.4447448	NUM
ejpam-1172	202	45	0.4447444	0.4447444	NUM
ejpam-1172	202	46	0.4265076	0.4265076	NUM
ejpam-1172	203	1	0.4265076	0.4265076	NUM
ejpam-1172	203	2	0.4065697	0.4065697	NUM
ejpam-1172	204	1	0.4065697	0.4065697	NUM
ejpam-1172	204	2	0.4065697	0.4065697	NUM
ejpam-1172	204	3	1.0	1.0	NUM
ejpam-1172	204	4	0.4218207	0.4218207	NUM
ejpam-1172	204	5	0.4218206	0.4218206	NUM
ejpam-1172	204	6	0.3972736	0.3972736	NUM
ejpam-1172	204	7	0.3972738	0.3972738	NUM
ejpam-1172	204	8	0.3678794	0.3678794	NUM
ejpam-1172	204	9	0.3678795	0.3678795	NUM
ejpam-1172	204	10	0.3678794	0.3678794	NUM
ejpam-1172	204	11	example	example	NOUN
ejpam-1172	204	12	4	4	NUM
ejpam-1172	204	13	.	.	PUNCT
ejpam-1172	205	1	we	we	PRON
ejpam-1172	205	2	consider	consider	VERB
ejpam-1172	205	3	the	the	DET
ejpam-1172	205	4	following	follow	VERB
ejpam-1172	205	5	fractional	fractional	ADJ
ejpam-1172	205	6	differential	differential	ADJ
ejpam-1172	205	7	-	-	PUNCT
ejpam-1172	205	8	algebraic	algebraic	ADJ
ejpam-1172	205	9	equations	equation	NOUN
ejpam-1172	205	10	.	.	PUNCT
ejpam-1172	206	1	d	d	X
ejpam-1172	206	2	α1	α1	PROPN
ejpam-1172	206	3	∗	∗	NOUN
ejpam-1172	206	4	x(t)−	x(t)−	PROPN
ejpam-1172	206	5	t2	t2	PROPN
ejpam-1172	206	6	x(t	x(t	PROPN
ejpam-1172	206	7	)	)	PUNCT
ejpam-1172	207	1	+	+	CCONJ
ejpam-1172	207	2	y(t)−	y(t)−	PROPN
ejpam-1172	207	3	2	2	NUM
ejpam-1172	207	4	t	t	NOUN
ejpam-1172	207	5	=	=	SYM
ejpam-1172	207	6	0	0	NUM
ejpam-1172	207	7	(	(	PUNCT
ejpam-1172	207	8	41	41	NUM
ejpam-1172	207	9	)	)	PUNCT
ejpam-1172	207	10	d	d	NOUN
ejpam-1172	207	11	α2	α2	ADJ
ejpam-1172	207	12	∗	∗	PROPN
ejpam-1172	207	13	y(t)−	y(t)−	PROPN
ejpam-1172	207	14	2z(t	2z(t	PROPN
ejpam-1172	207	15	)	)	PUNCT
ejpam-1172	208	1	+	+	CCONJ
ejpam-1172	208	2	2(t	2(t	NUM
ejpam-1172	208	3	+	+	CCONJ
ejpam-1172	208	4	1	1	NUM
ejpam-1172	208	5	)	)	PUNCT
ejpam-1172	208	6	=	=	SYM
ejpam-1172	208	7	0	0	NUM
ejpam-1172	208	8	,	,	PUNCT
ejpam-1172	208	9	0	0	NUM
ejpam-1172	208	10	<	<	X
ejpam-1172	208	11	α1,α2	α1,α2	PROPN
ejpam-1172	208	12	≤	≤	ADV
ejpam-1172	208	13	1	1	NUM
ejpam-1172	208	14	(	(	PUNCT
ejpam-1172	208	15	42	42	NUM
ejpam-1172	208	16	)	)	PUNCT
ejpam-1172	208	17	z(t)−	z(t)−	PROPN
ejpam-1172	208	18	y(t)−	y(t)−	PROPN
ejpam-1172	208	19	2	2	NUM
ejpam-1172	208	20	t	t	NOUN
ejpam-1172	208	21	x(t	x(t	PROPN
ejpam-1172	208	22	)	)	PUNCT
ejpam-1172	209	1	+	+	CCONJ
ejpam-1172	209	2	t4	t4	PROPN
ejpam-1172	209	3	−	−	PROPN
ejpam-1172	209	4	t	t	PROPN
ejpam-1172	209	5	−	−	NUM
ejpam-1172	209	6	1=	1=	X
ejpam-1172	209	7	0	0	NUM
ejpam-1172	210	1	(	(	PUNCT
ejpam-1172	210	2	43	43	NUM
ejpam-1172	210	3	)	)	PUNCT
ejpam-1172	210	4	with	with	ADP
ejpam-1172	210	5	initial	initial	ADJ
ejpam-1172	210	6	conditions	condition	NOUN
ejpam-1172	210	7	as	as	ADP
ejpam-1172	210	8	x(0	x(0	PROPN
ejpam-1172	210	9	)	)	PUNCT
ejpam-1172	211	1	=	=	SYM
ejpam-1172	211	2	0	0	NUM
ejpam-1172	211	3	,	,	PUNCT
ejpam-1172	211	4	y(0	y(0	PROPN
ejpam-1172	211	5	)	)	PUNCT
ejpam-1172	211	6	=	=	SYM
ejpam-1172	211	7	0	0	NUM
ejpam-1172	211	8	,	,	PUNCT
ejpam-1172	211	9	z(0	z(0	CCONJ
ejpam-1172	211	10	)	)	PUNCT
ejpam-1172	211	11	=	=	SYM
ejpam-1172	211	12	1	1	NUM
ejpam-1172	211	13	(	(	PUNCT
ejpam-1172	211	14	44	44	NUM
ejpam-1172	211	15	)	)	PUNCT
ejpam-1172	211	16	for	for	ADP
ejpam-1172	211	17	α1	α1	PROPN
ejpam-1172	211	18	=	=	SYM
ejpam-1172	211	19	α2	α2	NOUN
ejpam-1172	211	20	=	=	SYM
ejpam-1172	211	21	1	1	NUM
ejpam-1172	211	22	the	the	DET
ejpam-1172	211	23	exact	exact	ADJ
ejpam-1172	211	24	solution	solution	NOUN
ejpam-1172	211	25	is	be	AUX
ejpam-1172	211	26	x(t	x(t	PROPN
ejpam-1172	211	27	)	)	PUNCT
ejpam-1172	211	28	=	=	SYM
ejpam-1172	211	29	t2	t2	NOUN
ejpam-1172	211	30	,	,	PUNCT
ejpam-1172	211	31	y(t	y(t	NUM
ejpam-1172	211	32	)	)	PUNCT
ejpam-1172	211	33	=	=	SYM
ejpam-1172	211	34	t4	t4	PROPN
ejpam-1172	211	35	,	,	PUNCT
ejpam-1172	211	36	z(t	z(t	PROPN
ejpam-1172	211	37	)	)	PUNCT
ejpam-1172	211	38	=	=	SYM
ejpam-1172	211	39	2t3	2t3	NUM
ejpam-1172	212	1	+	+	SYM
ejpam-1172	212	2	t	t	NOUN
ejpam-1172	212	3	+	+	CCONJ
ejpam-1172	212	4	1	1	X
ejpam-1172	212	5	.	.	PUNCT
ejpam-1172	212	6	by	by	ADP
ejpam-1172	212	7	using	use	VERB
ejpam-1172	212	8	theorems	theorem	NOUN
ejpam-1172	212	9	1	1	NUM
ejpam-1172	212	10	,	,	PUNCT
ejpam-1172	212	11	2	2	NUM
ejpam-1172	212	12	,	,	PUNCT
ejpam-1172	212	13	4	4	NUM
ejpam-1172	212	14	,	,	PUNCT
ejpam-1172	212	15	5	5	NUM
ejpam-1172	212	16	and	and	CCONJ
ejpam-1172	212	17	eq.(13	eq.(13	ADJ
ejpam-1172	212	18	)	)	PUNCT
ejpam-1172	212	19	,	,	PUNCT
ejpam-1172	212	20	eqs.(41)-(43	eqs.(41)-(43	PROPN
ejpam-1172	212	21	)	)	PUNCT
ejpam-1172	212	22	are	be	AUX
ejpam-1172	212	23	transformed	transform	VERB
ejpam-1172	212	24	to	to	ADP
ejpam-1172	212	25	,	,	PUNCT
ejpam-1172	212	26	x	x	PROPN
ejpam-1172	212	27	(	(	PUNCT
ejpam-1172	212	28	k+α1β1	k+α1β1	PROPN
ejpam-1172	212	29	)	)	PUNCT
ejpam-1172	212	30	=	=	PUNCT
ejpam-1172	213	1	γ(1	γ(1	PROPN
ejpam-1172	213	2	+	+	CCONJ
ejpam-1172	213	3	k	k	PROPN
ejpam-1172	213	4	/	/	SYM
ejpam-1172	213	5	β1	β1	PROPN
ejpam-1172	213	6	)	)	PUNCT
ejpam-1172	213	7	γ(α1	γ(α1	NOUN
ejpam-1172	214	1	+	+	CCONJ
ejpam-1172	215	1	1	1	NUM
ejpam-1172	215	2	+	+	NUM
ejpam-1172	215	3	k	k	ADJ
ejpam-1172	215	4	/	/	SYM
ejpam-1172	215	5	β1	β1	PROPN
ejpam-1172	215	6	)	)	PUNCT
ejpam-1172	215	7			NOUN
ejpam-1172	215	8			NOUN
ejpam-1172	215	9	k	k	X
ejpam-1172	215	10	∑	∑	PUNCT
ejpam-1172	215	11	l=0	l=0	PROPN
ejpam-1172	215	12	δ(l	δ(l	PROPN
ejpam-1172	215	13	−	−	ADP
ejpam-1172	215	14	2β1)x	2β1)x	NUM
ejpam-1172	215	15	(	(	PUNCT
ejpam-1172	215	16	k−	k−	NOUN
ejpam-1172	215	17	l)−	l)−	PROPN
ejpam-1172	215	18	y	y	PROPN
ejpam-1172	215	19	(	(	PUNCT
ejpam-1172	215	20	k	k	NOUN
ejpam-1172	215	21	)	)	PUNCT
ejpam-1172	216	1	+	+	CCONJ
ejpam-1172	216	2	2δ(k−	2δ(k−	NUM
ejpam-1172	216	3	β1	β1	NOUN
ejpam-1172	216	4	)	)	PUNCT
ejpam-1172	216	5			PROPN
ejpam-1172	216	6			PROPN
ejpam-1172	216	7	(	(	PUNCT
ejpam-1172	216	8	45	45	NUM
ejpam-1172	216	9	)	)	PUNCT
ejpam-1172	216	10	b.	b.	NOUN
ejpam-1172	216	11	i̇bi̧s	i̇bi̧s	PROPN
ejpam-1172	216	12	,	,	PUNCT
ejpam-1172	216	13	m.	m.	NOUN
ejpam-1172	216	14	bayram	bayram	PROPN
ejpam-1172	216	15	and	and	CCONJ
ejpam-1172	216	16	a.	a.	PROPN
ejpam-1172	216	17	ağargün	ağargün	PROPN
ejpam-1172	216	18	/	/	SYM
ejpam-1172	216	19	eur	eur	PROPN
ejpam-1172	216	20	.	.	PUNCT
ejpam-1172	217	1	j.	j.	PROPN
ejpam-1172	217	2	pure	pure	PROPN
ejpam-1172	217	3	appl	appl	PROPN
ejpam-1172	217	4	.	.	PROPN
ejpam-1172	217	5	math	math	PROPN
ejpam-1172	217	6	,	,	PUNCT
ejpam-1172	217	7	4	4	NUM
ejpam-1172	217	8	(	(	PUNCT
ejpam-1172	217	9	2011	2011	NUM
ejpam-1172	217	10	)	)	PUNCT
ejpam-1172	217	11	,	,	PUNCT
ejpam-1172	217	12	129	129	NUM
ejpam-1172	217	13	-	-	SYM
ejpam-1172	217	14	141	141	NUM
ejpam-1172	217	15	137table	137table	PROPN
ejpam-1172	217	16	6	6	NUM
ejpam-1172	217	17	:	:	PUNCT
ejpam-1172	217	18	numeri	numeri	PROPN
ejpam-1172	217	19	al	al	PROPN
ejpam-1172	217	20	results	result	NOUN
ejpam-1172	217	21	of	of	ADP
ejpam-1172	217	22	y(t	y(t	PROPN
ejpam-1172	217	23	)	)	PUNCT
ejpam-1172	217	24	with	with	ADP
ejpam-1172	217	25	omparison	omparison	NOUN
ejpam-1172	217	26	to	to	PART
ejpam-1172	217	27	ham	ham	VERB
ejpam-1172	217	28	in	in	ADP
ejpam-1172	217	29	example	example	NOUN
ejpam-1172	217	30	3	3	NUM
ejpam-1172	217	31	α	α	NOUN
ejpam-1172	217	32	=	=	SYM
ejpam-1172	217	33	0.5	0.5	NUM
ejpam-1172	217	34	α=	α=	NUM
ejpam-1172	217	35	0.75	0.75	NUM
ejpam-1172	217	36	α	α	NOUN
ejpam-1172	217	37	=	=	SYM
ejpam-1172	217	38	1	1	NUM
ejpam-1172	217	39	t	t	NOUN
ejpam-1172	217	40	xham	xham	PROPN
ejpam-1172	218	1	xf	xf	PROPN
ejpam-1172	219	1	dt	dt	PROPN
ejpam-1172	220	1	m	m	VERB
ejpam-1172	220	2	xham	xham	PROPN
ejpam-1172	221	1	xf	xf	PROPN
ejpam-1172	221	2	dt	dt	PROPN
ejpam-1172	222	1	m	m	VERB
ejpam-1172	222	2	xham	xham	PROPN
ejpam-1172	223	1	xf	xf	PROPN
ejpam-1172	223	2	dt	dt	PROPN
ejpam-1172	224	1	m	m	PROPN
ejpam-1172	224	2	xexact	xexact	VERB
ejpam-1172	224	3	0.0	0.0	NUM
ejpam-1172	224	4	0.0000000	0.0000000	NUM
ejpam-1172	224	5	0.0000000	0.0000000	NUM
ejpam-1172	224	6	0.0000000	0.0000000	NUM
ejpam-1172	224	7	0.0000000	0.0000000	NUM
ejpam-1172	224	8	0.0000000	0.0000000	NUM
ejpam-1172	224	9	0.0000000	0.0000000	NUM
ejpam-1172	225	1	0.0000000	0.0000000	NUM
ejpam-1172	225	2	0.1	0.1	NUM
ejpam-1172	225	3	0.2437798	0.2437798	NUM
ejpam-1172	225	4	0.2437798	0.2437798	NUM
ejpam-1172	225	5	0.1672777	0.1672777	NUM
ejpam-1172	225	6	0.1672777	0.1672777	NUM
ejpam-1172	225	7	0.0998334	0.0998334	NUM
ejpam-1172	225	8	0.0998334	0.0998334	NUM
ejpam-1172	225	9	0.0998334	0.0998334	NUM
ejpam-1172	225	10	0.2	0.2	NUM
ejpam-1172	225	11	0.3264739	0.3264739	NUM
ejpam-1172	225	12	0.3264739	0.3264739	NUM
ejpam-1172	225	13	0.2679610	0.2679610	NUM
ejpam-1172	225	14	0.2679610	0.2679610	NUM
ejpam-1172	225	15	0.1986693	0.1986693	NUM
ejpam-1172	225	16	0.1986693	0.1986693	NUM
ejpam-1172	225	17	0.1986693	0.1986693	NUM
ejpam-1172	225	18	0.3	0.3	NUM
ejpam-1172	225	19	0.3966883	0.3966883	NUM
ejpam-1172	226	1	0.3966883	0.3966883	NUM
ejpam-1172	226	2	0.3547256	0.3547256	NUM
ejpam-1172	226	3	0.3547256	0.3547256	NUM
ejpam-1172	227	1	0.2955202	0.2955202	NUM
ejpam-1172	227	2	0.2955202	0.2955202	NUM
ejpam-1172	227	3	0.2955202	0.2955202	NUM
ejpam-1172	227	4	0.4	0.4	NUM
ejpam-1172	227	5	0.4626507	0.4626507	NUM
ejpam-1172	227	6	0.4626507	0.4626507	NUM
ejpam-1172	227	7	0.4347062	0.4347062	NUM
ejpam-1172	227	8	0.4347062	0.4347062	NUM
ejpam-1172	228	1	0.3894183	0.3894183	NUM
ejpam-1172	228	2	0.3894183	0.3894183	NUM
ejpam-1172	228	3	0.3894183	0.3894183	NUM
ejpam-1172	228	4	0.5	0.5	NUM
ejpam-1172	228	5	0.5259636	0.5259636	NUM
ejpam-1172	228	6	0.5259636	0.5259636	NUM
ejpam-1172	228	7	0.5099441	0.5099441	NUM
ejpam-1172	228	8	0.5099441	0.5099441	NUM
ejpam-1172	228	9	0.4794255	0.4794255	NUM
ejpam-1172	228	10	0.4794255	0.4794255	NUM
ejpam-1172	228	11	0.4794255	0.4794255	NUM
ejpam-1172	228	12	0.6	0.6	NUM
ejpam-1172	228	13	0.5865647	0.5865647	NUM
ejpam-1172	228	14	0.5865647	0.5865647	NUM
ejpam-1172	228	15	0.5808303	0.5808303	NUM
ejpam-1172	228	16	0.5808303	0.5808303	NUM
ejpam-1172	228	17	0.5646425	0.5646425	NUM
ejpam-1172	228	18	0.5646425	0.5646425	NUM
ejpam-1172	228	19	0.5646425	0.5646425	NUM
ejpam-1172	228	20	0.7	0.7	NUM
ejpam-1172	228	21	0.6438391	0.6438391	NUM
ejpam-1172	228	22	0.6438391	0.6438391	NUM
ejpam-1172	228	23	0.6470902	0.6470902	NUM
ejpam-1172	228	24	0.6470902	0.6470902	NUM
ejpam-1172	228	25	0.6442177	0.6442177	NUM
ejpam-1172	228	26	0.6442177	0.6442177	NUM
ejpam-1172	228	27	0.6442177	0.6442177	NUM
ejpam-1172	228	28	0.8	0.8	NUM
ejpam-1172	228	29	0.6969830	0.6969830	NUM
ejpam-1172	228	30	0.6969827	0.6969827	NUM
ejpam-1172	228	31	0.7081653	0.7081653	NUM
ejpam-1172	228	32	0.7081653	0.7081653	NUM
ejpam-1172	228	33	0.7173561	0.7173561	NOUN
ejpam-1172	228	34	0.7173561	0.7173561	NOUN
ejpam-1172	228	35	0.7173561	0.7173561	NOUN
ejpam-1172	228	36	0.9	0.9	NUM
ejpam-1172	228	37	0.7451519	0.7451519	NUM
ejpam-1172	228	38	0.7451522	0.7451522	NUM
ejpam-1172	228	39	0.7633890	0.7633890	NUM
ejpam-1172	228	40	0.7633890	0.7633890	NUM
ejpam-1172	228	41	0.7833269	0.7833269	NUM
ejpam-1172	228	42	0.7833269	0.7833269	NUM
ejpam-1172	228	43	0.7833269	0.7833269	NUM
ejpam-1172	228	44	1.0	1.0	NUM
ejpam-1172	228	45	0.7875300	0.7875300	NUM
ejpam-1172	228	46	0.7875299	0.7875299	NUM
ejpam-1172	228	47	0.8120769	0.8120769	NUM
ejpam-1172	228	48	0.8120766	0.8120766	NUM
ejpam-1172	228	49	0.8414710	0.8414710	NUM
ejpam-1172	228	50	0.8414710	0.8414710	NUM
ejpam-1172	228	51	0.8414710	0.8414710	NUM
ejpam-1172	228	52	y	y	PROPN
ejpam-1172	228	53	(	(	PUNCT
ejpam-1172	228	54	k+α2β2	k+α2β2	PROPN
ejpam-1172	228	55	)	)	PUNCT
ejpam-1172	228	56	=	=	PUNCT
ejpam-1172	228	57	γ(1	γ(1	PROPN
ejpam-1172	228	58	+	+	CCONJ
ejpam-1172	228	59	k	k	ADJ
ejpam-1172	228	60	/	/	SYM
ejpam-1172	228	61	β2	β2	NOUN
ejpam-1172	228	62	)	)	PUNCT
ejpam-1172	228	63	γ(α2	γ(α2	NOUN
ejpam-1172	229	1	+	+	PUNCT
ejpam-1172	229	2	1	1	NUM
ejpam-1172	229	3	+	+	NUM
ejpam-1172	229	4	k	k	ADJ
ejpam-1172	229	5	/	/	SYM
ejpam-1172	229	6	β2	β2	ADJ
ejpam-1172	229	7	)	)	PUNCT
ejpam-1172	229	8	�	�	PROPN
ejpam-1172	229	9	2z(k)−	2z(k)−	NUM
ejpam-1172	229	10	δ(k−	δ(k−	ADJ
ejpam-1172	229	11	β2)−	β2)−	PROPN
ejpam-1172	229	12	2δ(k	2δ(k	NUM
ejpam-1172	229	13	)	)	PUNCT
ejpam-1172	229	14	�	�	PROPN
ejpam-1172	229	15	(	(	PUNCT
ejpam-1172	229	16	46	46	NUM
ejpam-1172	229	17	)	)	PUNCT
ejpam-1172	229	18	z(k	z(k	PROPN
ejpam-1172	229	19	)	)	PUNCT
ejpam-1172	230	1	=	=	SYM
ejpam-1172	230	2	y	y	PROPN
ejpam-1172	230	3	(	(	PUNCT
ejpam-1172	230	4	k	k	NOUN
ejpam-1172	230	5	)	)	PUNCT
ejpam-1172	230	6	+	+	CCONJ
ejpam-1172	230	7	2	2	NUM
ejpam-1172	230	8	k	k	X
ejpam-1172	230	9	∑	∑	PUNCT
ejpam-1172	230	10	l=0	l=0	PROPN
ejpam-1172	230	11	δ(l	δ(l	PROPN
ejpam-1172	230	12	−	−	PROPN
ejpam-1172	230	13	β)x	β)x	NOUN
ejpam-1172	230	14	(	(	PUNCT
ejpam-1172	230	15	k−	k−	PROPN
ejpam-1172	230	16	l)−	l)−	PROPN
ejpam-1172	230	17	4δ(k−	4δ(k−	NUM
ejpam-1172	230	18	4β	4β	NUM
ejpam-1172	230	19	)	)	PUNCT
ejpam-1172	231	1	+	+	CCONJ
ejpam-1172	231	2	δ(k−	δ(k−	ADJ
ejpam-1172	231	3	β)+	β)+	NUM
ejpam-1172	231	4	δ(k	δ(k	NOUN
ejpam-1172	231	5	)	)	PUNCT
ejpam-1172	231	6	(	(	PUNCT
ejpam-1172	231	7	47	47	NUM
ejpam-1172	231	8	)	)	PUNCT
ejpam-1172	231	9	where	where	SCONJ
ejpam-1172	231	10	β1	β1	PROPN
ejpam-1172	231	11	and	and	CCONJ
ejpam-1172	231	12	β2	β2	NOUN
ejpam-1172	231	13	are	be	AUX
ejpam-1172	231	14	the	the	DET
ejpam-1172	231	15	unknown	unknown	ADJ
ejpam-1172	231	16	value	value	NOUN
ejpam-1172	231	17	of	of	ADP
ejpam-1172	231	18	the	the	DET
ejpam-1172	231	19	fractions	fraction	NOUN
ejpam-1172	231	20	and	and	CCONJ
ejpam-1172	231	21	β	β	X
ejpam-1172	231	22	=	=	SYM
ejpam-1172	231	23	lc	lc	PROPN
ejpam-1172	231	24	m(β1,β2).from	m(β1,β2).from	PROPN
ejpam-1172	231	25	eq.(16	eq.(16	PROPN
ejpam-1172	231	26	)	)	PUNCT
ejpam-1172	231	27	,	,	PUNCT
ejpam-1172	231	28	initial	initial	ADJ
ejpam-1172	231	29	conditions	condition	NOUN
ejpam-1172	231	30	in	in	ADP
ejpam-1172	231	31	eq.(44	eq.(44	NOUN
ejpam-1172	231	32	)	)	PUNCT
ejpam-1172	231	33	can	can	AUX
ejpam-1172	231	34	be	be	AUX
ejpam-1172	231	35	transformed	transform	VERB
ejpam-1172	231	36	as	as	SCONJ
ejpam-1172	231	37	follows	follow	VERB
ejpam-1172	231	38	:	:	PUNCT
ejpam-1172	231	39	x	x	SYM
ejpam-1172	231	40	(	(	PUNCT
ejpam-1172	231	41	0	0	NUM
ejpam-1172	231	42	)	)	PUNCT
ejpam-1172	231	43	=	=	SYM
ejpam-1172	231	44	0	0	NUM
ejpam-1172	231	45	,	,	PUNCT
ejpam-1172	231	46	k	k	NOUN
ejpam-1172	232	1	=	=	NOUN
ejpam-1172	232	2	0,1,2	0,1,2	NUM
ejpam-1172	232	3	,	,	PUNCT
ejpam-1172	232	4	.	.	PUNCT
ejpam-1172	232	5	.	.	PUNCT
ejpam-1172	232	6	.	.	PUNCT
ejpam-1172	233	1	,	,	PUNCT
ejpam-1172	233	2	α1β1	α1β1	PROPN
ejpam-1172	233	3	−	−	NOUN
ejpam-1172	233	4	1	1	NUM
ejpam-1172	233	5	,	,	PUNCT
ejpam-1172	233	6	y	y	PROPN
ejpam-1172	233	7	(	(	PUNCT
ejpam-1172	233	8	0	0	NUM
ejpam-1172	233	9	)	)	PUNCT
ejpam-1172	233	10	=	=	SYM
ejpam-1172	233	11	0	0	NUM
ejpam-1172	233	12	,	,	PUNCT
ejpam-1172	233	13	k	k	NOUN
ejpam-1172	233	14	=	=	NOUN
ejpam-1172	233	15	0,1,2	0,1,2	NUM
ejpam-1172	233	16	,	,	PUNCT
ejpam-1172	233	17	.	.	PUNCT
ejpam-1172	233	18	.	.	PUNCT
ejpam-1172	233	19	.	.	PUNCT
ejpam-1172	234	1	,	,	PUNCT
ejpam-1172	234	2	α2β2	α2β2	ADP
ejpam-1172	234	3	−	−	PROPN
ejpam-1172	234	4	1	1	NUM
ejpam-1172	234	5	,	,	PUNCT
ejpam-1172	234	6	z(0	z(0	CCONJ
ejpam-1172	234	7	)	)	PUNCT
ejpam-1172	234	8	=	=	SYM
ejpam-1172	234	9	1	1	NUM
ejpam-1172	234	10	(	(	PUNCT
ejpam-1172	234	11	48	48	NUM
ejpam-1172	234	12	)	)	PUNCT
ejpam-1172	234	13	from	from	ADP
ejpam-1172	234	14	eqs.(45)-(48	eqs.(45)-(48	NOUN
ejpam-1172	234	15	)	)	PUNCT
ejpam-1172	234	16	,	,	PUNCT
ejpam-1172	234	17	x	x	X
ejpam-1172	234	18	(	(	PUNCT
ejpam-1172	234	19	k	k	NOUN
ejpam-1172	234	20	)	)	PUNCT
ejpam-1172	234	21	,	,	PUNCT
ejpam-1172	234	22	y	y	PROPN
ejpam-1172	234	23	(	(	PUNCT
ejpam-1172	234	24	k	k	NOUN
ejpam-1172	234	25	)	)	PUNCT
ejpam-1172	234	26	and	and	CCONJ
ejpam-1172	234	27	z(k	z(k	PROPN
ejpam-1172	234	28	)	)	PUNCT
ejpam-1172	234	29	are	be	AUX
ejpam-1172	234	30	obtained	obtain	VERB
ejpam-1172	234	31	up	up	ADP
ejpam-1172	234	32	to	to	ADP
ejpam-1172	234	33	and	and	CCONJ
ejpam-1172	234	34	using	use	VERB
ejpam-1172	234	35	the	the	DET
ejpam-1172	234	36	inverse	inverse	NOUN
ejpam-1172	234	37	transformation	transformation	NOUN
ejpam-1172	234	38	rule	rule	NOUN
ejpam-1172	234	39	in	in	ADP
ejpam-1172	234	40	eq.(13	eq.(13	ADJ
ejpam-1172	234	41	)	)	PUNCT
ejpam-1172	234	42	,	,	PUNCT
ejpam-1172	234	43	x(t	x(t	PROPN
ejpam-1172	234	44	)	)	PUNCT
ejpam-1172	234	45	,	,	PUNCT
ejpam-1172	234	46	y(t	y(t	NUM
ejpam-1172	234	47	)	)	PUNCT
ejpam-1172	234	48	and	and	CCONJ
ejpam-1172	234	49	z(t	z(t	NOUN
ejpam-1172	234	50	)	)	PUNCT
ejpam-1172	234	51	are	be	AUX
ejpam-1172	234	52	calculated	calculate	VERB
ejpam-1172	234	53	for	for	ADP
ejpam-1172	234	54	different	different	ADJ
ejpam-1172	234	55	values	value	NOUN
ejpam-1172	234	56	of	of	ADP
ejpam-1172	234	57	α1	α1	PROPN
ejpam-1172	234	58	and	and	CCONJ
ejpam-1172	234	59	α2	α2	PROPN
ejpam-1172	234	60	.	.	PUNCT
ejpam-1172	235	1	numerical	numerical	ADJ
ejpam-1172	235	2	comparisons	comparison	NOUN
ejpam-1172	235	3	are	be	AUX
ejpam-1172	235	4	given	give	VERB
ejpam-1172	235	5	in	in	ADP
ejpam-1172	235	6	table	table	NOUN
ejpam-1172	235	7	7-8-9.table	7-8-9.table	ADJ
ejpam-1172	235	8	7	7	NUM
ejpam-1172	235	9	:	:	PUNCT
ejpam-1172	235	10	numeri	numeri	PROPN
ejpam-1172	235	11	al	al	PROPN
ejpam-1172	235	12	results	result	NOUN
ejpam-1172	235	13	of	of	ADP
ejpam-1172	235	14	x(t	x(t	PROPN
ejpam-1172	235	15	)	)	PUNCT
ejpam-1172	235	16	with	with	ADP
ejpam-1172	235	17	omparison	omparison	NOUN
ejpam-1172	235	18	to	to	PART
ejpam-1172	235	19	ham	ham	VERB
ejpam-1172	235	20	in	in	ADP
ejpam-1172	235	21	example	example	NOUN
ejpam-1172	235	22	4	4	NUM
ejpam-1172	235	23	α	α	NOUN
ejpam-1172	235	24	=	=	SYM
ejpam-1172	235	25	0.5	0.5	NUM
ejpam-1172	235	26	α	α	NOUN
ejpam-1172	235	27	=	=	NOUN
ejpam-1172	235	28	0.75	0.75	NUM
ejpam-1172	235	29	α	α	NOUN
ejpam-1172	235	30	=	=	SYM
ejpam-1172	235	31	1	1	NUM
ejpam-1172	235	32	t	t	NOUN
ejpam-1172	235	33	xham	xham	PROPN
ejpam-1172	235	34	xf	xf	PROPN
ejpam-1172	236	1	dt	dt	PROPN
ejpam-1172	236	2	m	m	VERB
ejpam-1172	236	3	xham	xham	PROPN
ejpam-1172	237	1	xf	xf	PROPN
ejpam-1172	237	2	dt	dt	PROPN
ejpam-1172	238	1	m	m	VERB
ejpam-1172	238	2	xham	xham	PROPN
ejpam-1172	239	1	xf	xf	PROPN
ejpam-1172	239	2	dt	dt	PROPN
ejpam-1172	240	1	m	m	PROPN
ejpam-1172	240	2	xexact	xexact	VERB
ejpam-1172	240	3	0.0	0.0	NUM
ejpam-1172	240	4	0.0000000	0.0000000	NUM
ejpam-1172	240	5	0.0000000	0.0000000	NUM
ejpam-1172	240	6	0.0000000	0.0000000	NUM
ejpam-1172	240	7	0.0000000	0.0000000	NUM
ejpam-1172	240	8	0.0000000	0.0000000	NUM
ejpam-1172	240	9	0.0000000	0.0000000	NUM
ejpam-1172	240	10	0.0000000	0.0000000	NUM
ejpam-1172	240	11	0.1	0.1	NUM
ejpam-1172	240	12	0.0468839	0.0468839	NUM
ejpam-1172	240	13	0.0468839	0.0468839	NUM
ejpam-1172	241	1	0.0220868	0.0220868	NUM
ejpam-1172	241	2	0.0220868	0.0220868	NUM
ejpam-1172	241	3	0.0100000	0.0100000	NUM
ejpam-1172	241	4	0.0100000	0.0100000	NUM
ejpam-1172	241	5	0.0100000	0.0100000	NUM
ejpam-1172	241	6	0.2	0.2	NUM
ejpam-1172	241	7	0.1256709	0.1256709	NUM
ejpam-1172	241	8	0.1256709	0.1256709	NUM
ejpam-1172	242	1	0.0738823	0.0738823	NUM
ejpam-1172	242	2	0.0738823	0.0738823	NUM
ejpam-1172	242	3	0.0400000	0.0400000	NUM
ejpam-1172	242	4	0.0400000	0.0400000	NUM
ejpam-1172	242	5	0.0400000	0.0400000	NUM
ejpam-1172	242	6	0.3	0.3	NUM
ejpam-1172	242	7	0.2069285	0.2069285	NUM
ejpam-1172	242	8	0.2069285	0.2069285	NUM
ejpam-1172	242	9	0.1483883	0.1483883	NUM
ejpam-1172	242	10	0.1483883	0.1483883	NUM
ejpam-1172	242	11	0.0900000	0.0900000	NUM
ejpam-1172	242	12	0.0900000	0.0900000	NUM
ejpam-1172	242	13	0.0900000	0.0900000	NUM
ejpam-1172	242	14	0.4	0.4	NUM
ejpam-1172	242	15	0.2635406	0.2635406	NUM
ejpam-1172	242	16	0.2635406	0.2635406	NUM
ejpam-1172	242	17	0.2403223	0.2403223	NUM
ejpam-1172	242	18	0.2403223	0.2403223	NUM
ejpam-1172	242	19	0.1600000	0.1600000	NUM
ejpam-1172	242	20	0.1600000	0.1600000	NUM
ejpam-1172	242	21	0.1600000	0.1600000	NUM
ejpam-1172	242	22	0.5	0.5	NUM
ejpam-1172	242	23	0.2692381	0.2692381	NUM
ejpam-1172	242	24	0.2692381	0.2692381	NUM
ejpam-1172	242	25	0.3435494	0.3435494	NUM
ejpam-1172	242	26	0.3435494	0.3435494	NUM
ejpam-1172	242	27	0.2500000	0.2500000	NUM
ejpam-1172	242	28	0.2500000	0.2500000	NUM
ejpam-1172	242	29	0.2500000	0.2500000	NUM
ejpam-1172	242	30	0.6	0.6	NUM
ejpam-1172	242	31	0.2064374	0.2064374	NUM
ejpam-1172	242	32	0.2064374	0.2064374	NUM
ejpam-1172	242	33	0.4503451	0.4503451	NUM
ejpam-1172	242	34	0.4503451	0.4503451	NUM
ejpam-1172	242	35	0.3600000	0.3600000	NUM
ejpam-1172	242	36	0.3600000	0.3600000	NUM
ejpam-1172	242	37	0.3600000	0.3600000	NUM
ejpam-1172	242	38	0.7	0.7	NUM
ejpam-1172	242	39	0.0771395	0.0771395	NUM
ejpam-1172	242	40	0.0771393	0.0771393	NUM
ejpam-1172	242	41	0.5510811	0.5510811	NUM
ejpam-1172	242	42	0.5510811	0.5510811	NUM
ejpam-1172	242	43	0.4900000	0.4900000	NUM
ejpam-1172	242	44	0.4900000	0.4900000	NUM
ejpam-1172	242	45	0.4900000	0.4900000	NUM
ejpam-1172	242	46	0.8	0.8	NUM
ejpam-1172	242	47	−0.0874721	−0.0874721	X
ejpam-1172	242	48	−0.0874740	−0.0874740	ADP
ejpam-1172	242	49	0.6342822	0.6342822	NUM
ejpam-1172	242	50	0.6342821	0.6342821	NUM
ejpam-1172	242	51	0.6400000	0.6400000	NUM
ejpam-1172	242	52	0.6400000	0.6400000	NUM
ejpam-1172	242	53	0.6400000	0.6400000	NUM
ejpam-1172	242	54	0.9	0.9	NUM
ejpam-1172	242	55	−0.2250269	−0.2250269	NOUN
ejpam-1172	242	56	−0.2249716	−0.2249716	NOUN
ejpam-1172	242	57	0.6872107	0.6872107	NUM
ejpam-1172	242	58	0.6872098	0.6872098	NUM
ejpam-1172	242	59	0.8100000	0.8100000	NUM
ejpam-1172	242	60	0.8100000	0.8100000	NUM
ejpam-1172	242	61	0.8100000	0.8100000	NUM
ejpam-1172	242	62	1.0	1.0	NUM
ejpam-1172	242	63	−0.2550524	−0.2550524	X
ejpam-1172	242	64	−0.2536490	−0.2536490	X
ejpam-1172	242	65	0.6972563	0.6972563	NUM
ejpam-1172	242	66	0.6972492	0.6972492	NUM
ejpam-1172	242	67	1.0000000	1.0000000	NUM
ejpam-1172	242	68	1.0000000	1.0000000	NUM
ejpam-1172	242	69	1.0000000	1.0000000	NUM
ejpam-1172	242	70	b.	b.	PROPN
ejpam-1172	242	71	i̇bi̧s	i̇bi̧s	PROPN
ejpam-1172	242	72	,	,	PUNCT
ejpam-1172	242	73	m.	m.	NOUN
ejpam-1172	242	74	bayram	bayram	PROPN
ejpam-1172	242	75	and	and	CCONJ
ejpam-1172	242	76	a.	a.	PROPN
ejpam-1172	242	77	ağargün	ağargün	PROPN
ejpam-1172	242	78	/	/	SYM
ejpam-1172	242	79	eur	eur	PROPN
ejpam-1172	242	80	.	.	PUNCT
ejpam-1172	243	1	j.	j.	PROPN
ejpam-1172	243	2	pure	pure	PROPN
ejpam-1172	243	3	appl	appl	PROPN
ejpam-1172	243	4	.	.	PROPN
ejpam-1172	243	5	math	math	PROPN
ejpam-1172	243	6	,	,	PUNCT
ejpam-1172	243	7	4	4	NUM
ejpam-1172	243	8	(	(	PUNCT
ejpam-1172	243	9	2011	2011	NUM
ejpam-1172	243	10	)	)	PUNCT
ejpam-1172	243	11	,	,	PUNCT
ejpam-1172	243	12	129	129	NUM
ejpam-1172	243	13	-	-	SYM
ejpam-1172	243	14	141	141	NUM
ejpam-1172	243	15	138table	138table	PROPN
ejpam-1172	243	16	8	8	NUM
ejpam-1172	243	17	:	:	PUNCT
ejpam-1172	243	18	numeri	numeri	PROPN
ejpam-1172	243	19	al	al	PROPN
ejpam-1172	243	20	results	result	NOUN
ejpam-1172	243	21	of	of	ADP
ejpam-1172	243	22	y(t	y(t	PROPN
ejpam-1172	243	23	)	)	PUNCT
ejpam-1172	243	24	with	with	ADP
ejpam-1172	243	25	omparison	omparison	NOUN
ejpam-1172	243	26	to	to	PART
ejpam-1172	243	27	ham	ham	VERB
ejpam-1172	243	28	in	in	ADP
ejpam-1172	243	29	example	example	NOUN
ejpam-1172	243	30	4	4	NUM
ejpam-1172	243	31	α	α	NOUN
ejpam-1172	243	32	=	=	SYM
ejpam-1172	243	33	0.5	0.5	NUM
ejpam-1172	243	34	α=	α=	NUM
ejpam-1172	243	35	0.75	0.75	NUM
ejpam-1172	243	36	α	α	NOUN
ejpam-1172	243	37	=	=	SYM
ejpam-1172	243	38	1	1	NUM
ejpam-1172	243	39	t	t	NOUN
ejpam-1172	243	40	xham	xham	PROPN
ejpam-1172	244	1	xf	xf	PROPN
ejpam-1172	245	1	dt	dt	PROPN
ejpam-1172	246	1	m	m	VERB
ejpam-1172	246	2	xham	xham	PROPN
ejpam-1172	247	1	xf	xf	PROPN
ejpam-1172	247	2	dt	dt	PROPN
ejpam-1172	248	1	m	m	VERB
ejpam-1172	248	2	xham	xham	PROPN
ejpam-1172	249	1	xf	xf	PROPN
ejpam-1172	249	2	dt	dt	PROPN
ejpam-1172	250	1	m	m	PROPN
ejpam-1172	250	2	xexact	xexact	VERB
ejpam-1172	250	3	0.0	0.0	NUM
ejpam-1172	250	4	0.0000000	0.0000000	NUM
ejpam-1172	250	5	0.0000000	0.0000000	NUM
ejpam-1172	250	6	0.0000000	0.0000000	NUM
ejpam-1172	250	7	0.0000000	0.0000000	NUM
ejpam-1172	250	8	0.0000000	0.0000000	NUM
ejpam-1172	250	9	0.0000000	0.0000000	NUM
ejpam-1172	250	10	0.0000000	0.0000000	NUM
ejpam-1172	250	11	0.1	0.1	NUM
ejpam-1172	250	12	0.0047962	0.0047962	NUM
ejpam-1172	250	13	0.0047962	0.0047962	NUM
ejpam-1172	250	14	0.0006640	0.0006640	NUM
ejpam-1172	250	15	0.0006640	0.0006640	NUM
ejpam-1172	250	16	0.0001000	0.0001000	NUM
ejpam-1172	250	17	0.0001000	0.0001000	NUM
ejpam-1172	250	18	0.0001000	0.0001000	NUM
ejpam-1172	250	19	0.2	0.2	NUM
ejpam-1172	250	20	0.0446486	0.0446486	NUM
ejpam-1172	250	21	0.0446486	0.0446486	NUM
ejpam-1172	251	1	0.0079990	0.0079990	NUM
ejpam-1172	251	2	0.0079990	0.0079990	NUM
ejpam-1172	251	3	0.0016000	0.0016000	NUM
ejpam-1172	251	4	0.0016000	0.0016000	NUM
ejpam-1172	251	5	0.0016000	0.0016000	NUM
ejpam-1172	251	6	0.3	0.3	NUM
ejpam-1172	251	7	0.1654479	0.1654479	NUM
ejpam-1172	251	8	0.1654479	0.1654479	NUM
ejpam-1172	251	9	0.0347313	0.0347313	NUM
ejpam-1172	252	1	0.0347313	0.0347313	NUM
ejpam-1172	252	2	0.0081000	0.0081000	NUM
ejpam-1172	252	3	0.0081000	0.0081000	NUM
ejpam-1172	252	4	0.0081000	0.0081000	NUM
ejpam-1172	252	5	0.4	0.4	NUM
ejpam-1172	252	6	0.4099255	0.4099255	NUM
ejpam-1172	252	7	0.4099255	0.4099255	NUM
ejpam-1172	252	8	0.0988115	0.0988115	NUM
ejpam-1172	252	9	0.0988115	0.0988115	NUM
ejpam-1172	252	10	0.0256000	0.0256000	NUM
ejpam-1172	252	11	0.0256000	0.0256000	NUM
ejpam-1172	252	12	0.0256000	0.0256000	NUM
ejpam-1172	252	13	0.5	0.5	NUM
ejpam-1172	252	14	0.7956628	0.7956628	NUM
ejpam-1172	252	15	0.7956628	0.7956628	NUM
ejpam-1172	252	16	0.2220253	0.2220253	NUM
ejpam-1172	252	17	0.2220253	0.2220253	NUM
ejpam-1172	252	18	0.0625000	0.0625000	NUM
ejpam-1172	252	19	0.0625000	0.0625000	NUM
ejpam-1172	252	20	0.0625000	0.0625000	NUM
ejpam-1172	252	21	0.6	0.6	NUM
ejpam-1172	252	22	1.2918230	1.2918230	NUM
ejpam-1172	252	23	1.2918231	1.2918231	NUM
ejpam-1172	252	24	0.4277910	0.4277910	NUM
ejpam-1172	252	25	0.4277910	0.4277910	NUM
ejpam-1172	252	26	0.1296000	0.1296000	NUM
ejpam-1172	252	27	0.1296000	0.1296000	NUM
ejpam-1172	252	28	0.1296000	0.1296000	NUM
ejpam-1172	252	29	0.7	0.7	NUM
ejpam-1172	252	30	1.8063925	1.8063925	NUM
ejpam-1172	252	31	1.8063925	1.8063925	NUM
ejpam-1172	252	32	0.7376692	0.7376692	NUM
ejpam-1172	252	33	0.7376692	0.7376692	NUM
ejpam-1172	252	34	0.2401000	0.2401000	NUM
ejpam-1172	252	35	0.2401000	0.2401000	NUM
ejpam-1172	252	36	0.2401000	0.2401000	NUM
ejpam-1172	252	37	0.8	0.8	NUM
ejpam-1172	252	38	2.1992173	2.1992173	NUM
ejpam-1172	252	39	2.1992062	2.1992062	NUM
ejpam-1172	252	40	1.1662343	1.1662343	NUM
ejpam-1172	252	41	1.1662344	1.1662344	NUM
ejpam-1172	252	42	0.4096000	0.4096000	NUM
ejpam-1172	252	43	0.4096000	0.4096000	NUM
ejpam-1172	252	44	0.4096000	0.4096000	NUM
ejpam-1172	252	45	0.9	0.9	NUM
ejpam-1172	252	46	2.3319582	2.3319582	NUM
ejpam-1172	252	47	2.3316970	2.3316970	NUM
ejpam-1172	252	48	1.7141421	1.7141421	NUM
ejpam-1172	252	49	1.7141424	1.7141424	NUM
ejpam-1172	252	50	0.6561000	0.6561000	NUM
ejpam-1172	253	1	0.6561000	0.6561000	NUM
ejpam-1172	253	2	0.6561000	0.6561000	NUM
ejpam-1172	253	3	1.0	1.0	NUM
ejpam-1172	253	4	2.1509580	2.1509580	NUM
ejpam-1172	253	5	2.1479845	2.1479845	NUM
ejpam-1172	253	6	2.3596212	2.3596212	NUM
ejpam-1172	253	7	2.3596233	2.3596233	NUM
ejpam-1172	253	8	1.0000000	1.0000000	NUM
ejpam-1172	253	9	1.0000000	1.0000000	NUM
ejpam-1172	253	10	1.0000000table	1.0000000table	NOUN
ejpam-1172	253	11	9	9	NUM
ejpam-1172	253	12	:	:	PUNCT
ejpam-1172	253	13	numeri	numeri	PROPN
ejpam-1172	253	14	al	al	PROPN
ejpam-1172	253	15	results	result	NOUN
ejpam-1172	253	16	of	of	ADP
ejpam-1172	253	17	z(t	z(t	NOUN
ejpam-1172	253	18	)	)	PUNCT
ejpam-1172	253	19	with	with	ADP
ejpam-1172	253	20	omparison	omparison	NOUN
ejpam-1172	253	21	to	to	PART
ejpam-1172	253	22	ham	ham	VERB
ejpam-1172	253	23	in	in	ADP
ejpam-1172	253	24	example	example	NOUN
ejpam-1172	253	25	4	4	NUM
ejpam-1172	253	26	α	α	NOUN
ejpam-1172	253	27	=	=	SYM
ejpam-1172	253	28	0.5	0.5	NUM
ejpam-1172	253	29	α=	α=	NUM
ejpam-1172	253	30	0.75	0.75	NUM
ejpam-1172	253	31	α	α	NOUN
ejpam-1172	253	32	=	=	SYM
ejpam-1172	253	33	1	1	NUM
ejpam-1172	253	34	t	t	NOUN
ejpam-1172	253	35	xham	xham	PROPN
ejpam-1172	253	36	xf	xf	PROPN
ejpam-1172	254	1	dt	dt	PROPN
ejpam-1172	254	2	m	m	VERB
ejpam-1172	254	3	xham	xham	PROPN
ejpam-1172	255	1	xf	xf	PROPN
ejpam-1172	255	2	dt	dt	PROPN
ejpam-1172	256	1	m	m	VERB
ejpam-1172	256	2	xham	xham	PROPN
ejpam-1172	257	1	xf	xf	PROPN
ejpam-1172	257	2	dt	dt	PROPN
ejpam-1172	258	1	m	m	PROPN
ejpam-1172	258	2	xexact	xexact	PROPN
ejpam-1172	258	3	0.0	0.0	NUM
ejpam-1172	258	4	1.0000000	1.0000000	NUM
ejpam-1172	258	5	1.0000000	1.0000000	NUM
ejpam-1172	258	6	1.0000000	1.0000000	NUM
ejpam-1172	258	7	1.0000000	1.0000000	NUM
ejpam-1172	258	8	1.0000000	1.0000000	NUM
ejpam-1172	258	9	1.0000000	1.0000000	NUM
ejpam-1172	258	10	1.0000000	1.0000000	NUM
ejpam-1172	258	11	0.1	0.1	NUM
ejpam-1172	258	12	1.1140730	1.1140730	NUM
ejpam-1172	258	13	1.1140730	1.1140730	NUM
ejpam-1172	258	14	1.1049813	1.1049813	NUM
ejpam-1172	258	15	1.1049813	1.1049813	NUM
ejpam-1172	258	16	1.1020000	1.1020000	NUM
ejpam-1172	258	17	1.1020000	1.1020000	NUM
ejpam-1172	258	18	1.1020000	1.1020000	NUM
ejpam-1172	258	19	0.2	0.2	NUM
ejpam-1172	258	20	1.2933169	1.2933169	NUM
ejpam-1172	258	21	1.2933169	1.2933169	NUM
ejpam-1172	258	22	1.2359520	1.2359520	NUM
ejpam-1172	258	23	1.2359520	1.2359520	NUM
ejpam-1172	258	24	1.2160000	1.2160000	NUM
ejpam-1172	258	25	1.2160000	1.2160000	NUM
ejpam-1172	258	26	1.2160000	1.2160000	NUM
ejpam-1172	258	27	0.3	0.3	NUM
ejpam-1172	258	28	1.5815050	1.5815050	NUM
ejpam-1172	258	29	1.5815050	1.5815050	NUM
ejpam-1172	258	30	1.4156643	1.4156643	NUM
ejpam-1172	258	31	1.4156643	1.4156643	NUM
ejpam-1172	258	32	1.3540000	1.3540000	NUM
ejpam-1172	258	33	1.3540000	1.3540000	NUM
ejpam-1172	258	34	1.3540000	1.3540000	NUM
ejpam-1172	258	35	0.4	0.4	NUM
ejpam-1172	258	36	1.9951580	1.9951580	NUM
ejpam-1172	258	37	1.9951580	1.9951580	NUM
ejpam-1172	258	38	1.6654692	1.6654692	NUM
ejpam-1172	258	39	1.6654692	1.6654692	NUM
ejpam-1172	258	40	1.5280000	1.5280000	NUM
ejpam-1172	258	41	1.5280000	1.5280000	NUM
ejpam-1172	258	42	1.5280000	1.5280000	NUM
ejpam-1172	258	43	0.5	0.5	NUM
ejpam-1172	258	44	2.5024009	2.5024009	NUM
ejpam-1172	258	45	2.5024009	2.5024009	NUM
ejpam-1172	258	46	2.0030745	2.0030745	NUM
ejpam-1172	258	47	2.0030746	2.0030746	NUM
ejpam-1172	258	48	1.7500000	1.7500000	NUM
ejpam-1172	258	49	1.7500000	1.7500000	NUM
ejpam-1172	258	50	1.7500000	1.7500000	NUM
ejpam-1172	258	51	0.6	0.6	NUM
ejpam-1172	258	52	3.0099479	3.0099479	NUM
ejpam-1172	258	53	3.0099480	3.0099480	NUM
ejpam-1172	258	54	2.4386051	2.4386051	NUM
ejpam-1172	258	55	2.4386051	2.4386051	NUM
ejpam-1172	258	56	2.0320000	2.0320000	NUM
ejpam-1172	258	57	2.0320000	2.0320000	NUM
ejpam-1172	258	58	2.0320000	2.0320000	NUM
ejpam-1172	258	59	0.7	0.7	NUM
ejpam-1172	258	60	3.3742876	3.3742876	NUM
ejpam-1172	258	61	3.3742875	3.3742875	NUM
ejpam-1172	258	62	2.9690827	2.9690827	NUM
ejpam-1172	258	63	2.9690826	2.9690826	NUM
ejpam-1172	258	64	2.3860000	2.3860000	NUM
ejpam-1172	258	65	2.3860000	2.3860000	NUM
ejpam-1172	258	66	2.3860000	2.3860000	NUM
ejpam-1172	258	67	0.8	0.8	NUM
ejpam-1172	258	68	3.4496824	3.4496824	NUM
ejpam-1172	258	69	3.4496478	3.4496478	NUM
ejpam-1172	258	70	3.5714858	3.5714858	NUM
ejpam-1172	258	71	3.5714850	3.5714850	NUM
ejpam-1172	258	72	2.8240000	2.8240000	NUM
ejpam-1172	258	73	2.8240000	2.8240000	NUM
ejpam-1172	258	74	2.8240000	2.8240000	NUM
ejpam-1172	258	75	0.9	0.9	NUM
ejpam-1172	258	76	3.1713371	3.1713371	NUM
ejpam-1172	258	77	3.1706481	3.1706481	NUM
ejpam-1172	258	78	4.1950213	4.1950213	NUM
ejpam-1172	258	79	4.1950119	4.1950119	NUM
ejpam-1172	258	80	3.3580000	3.3580000	NUM
ejpam-1172	258	81	3.3580000	3.3580000	NUM
ejpam-1172	258	82	3.3580000	3.3580000	NUM
ejpam-1172	258	83	1.0	1.0	NUM
ejpam-1172	258	84	2.6477139	2.6477139	NUM
ejpam-1172	258	85	2.6406864	2.6406864	NUM
ejpam-1172	258	86	4.7541339	4.7541339	NUM
ejpam-1172	258	87	4.7540532	4.7540532	NUM
ejpam-1172	258	88	4.0000000	4.0000000	NUM
ejpam-1172	258	89	4.0000000	4.0000000	NUM
ejpam-1172	258	90	4.0000000	4.0000000	NUM
ejpam-1172	258	91	5	5	NUM
ejpam-1172	258	92	.	.	PUNCT
ejpam-1172	258	93	conclusion	conclusion	NOUN
ejpam-1172	258	94	in	in	ADP
ejpam-1172	258	95	this	this	DET
ejpam-1172	258	96	paper	paper	NOUN
ejpam-1172	258	97	,	,	PUNCT
ejpam-1172	258	98	fractional	fractional	ADJ
ejpam-1172	258	99	differential	differential	NOUN
ejpam-1172	258	100	transform	transform	NOUN
ejpam-1172	258	101	method	method	NOUN
ejpam-1172	258	102	(	(	PUNCT
ejpam-1172	258	103	fdtm	fdtm	NOUN
ejpam-1172	258	104	)	)	PUNCT
ejpam-1172	258	105	is	be	AUX
ejpam-1172	258	106	extended	extend	VERB
ejpam-1172	258	107	to	to	PART
ejpam-1172	258	108	solve	solve	VERB
ejpam-1172	258	109	fractional	fractional	ADJ
ejpam-1172	258	110	differential	differential	ADJ
ejpam-1172	258	111	-	-	PUNCT
ejpam-1172	258	112	algebraic	algebraic	ADJ
ejpam-1172	258	113	equations	equation	NOUN
ejpam-1172	258	114	(	(	PUNCT
ejpam-1172	258	115	fdaes	fdaes	NOUN
ejpam-1172	258	116	)	)	PUNCT
ejpam-1172	258	117	.	.	PUNCT
ejpam-1172	259	1	the	the	DET
ejpam-1172	259	2	results	result	NOUN
ejpam-1172	259	3	of	of	ADP
ejpam-1172	259	4	this	this	DET
ejpam-1172	259	5	method	method	NOUN
ejpam-1172	259	6	are	be	AUX
ejpam-1172	259	7	in	in	ADP
ejpam-1172	259	8	good	good	ADJ
ejpam-1172	259	9	agreement	agreement	NOUN
ejpam-1172	259	10	with	with	ADP
ejpam-1172	259	11	those	those	PRON
ejpam-1172	259	12	obtained	obtain	VERB
ejpam-1172	259	13	by	by	ADP
ejpam-1172	259	14	using	use	VERB
ejpam-1172	259	15	the	the	DET
ejpam-1172	259	16	homotopy	homotopy	NOUN
ejpam-1172	259	17	analysis	analysis	NOUN
ejpam-1172	259	18	method	method	NOUN
ejpam-1172	259	19	(	(	PUNCT
ejpam-1172	259	20	ham	ham	NOUN
ejpam-1172	259	21	)	)	PUNCT
ejpam-1172	259	22	.	.	PUNCT
ejpam-1172	260	1	the	the	DET
ejpam-1172	260	2	study	study	NOUN
ejpam-1172	260	3	emphasized	emphasize	VERB
ejpam-1172	260	4	our	our	PRON
ejpam-1172	260	5	belief	belief	NOUN
ejpam-1172	260	6	that	that	SCONJ
ejpam-1172	260	7	the	the	DET
ejpam-1172	260	8	method	method	NOUN
ejpam-1172	260	9	is	be	AUX
ejpam-1172	260	10	a	a	DET
ejpam-1172	260	11	reliable	reliable	ADJ
ejpam-1172	260	12	technique	technique	NOUN
ejpam-1172	260	13	to	to	PART
ejpam-1172	260	14	handle	handle	VERB
ejpam-1172	260	15	fractional	fractional	ADJ
ejpam-1172	260	16	differentialalgebraic	differentialalgebraic	ADJ
ejpam-1172	260	17	equations	equation	NOUN
ejpam-1172	260	18	and	and	CCONJ
ejpam-1172	260	19	the	the	DET
ejpam-1172	260	20	fdtm	fdtm	NOUN
ejpam-1172	260	21	offer	offer	VERB
ejpam-1172	260	22	significant	significant	ADJ
ejpam-1172	260	23	advantages	advantage	NOUN
ejpam-1172	260	24	in	in	ADP
ejpam-1172	260	25	terms	term	NOUN
ejpam-1172	260	26	of	of	ADP
ejpam-1172	260	27	its	its	PRON
ejpam-1172	260	28	straightforward	straightforward	ADJ
ejpam-1172	260	29	applicability	applicability	NOUN
ejpam-1172	260	30	,	,	PUNCT
ejpam-1172	260	31	its	its	PRON
ejpam-1172	260	32	computational	computational	ADJ
ejpam-1172	260	33	effectiveness	effectiveness	NOUN
ejpam-1172	260	34	and	and	CCONJ
ejpam-1172	260	35	its	its	PRON
ejpam-1172	260	36	accuracy	accuracy	NOUN
ejpam-1172	260	37	.	.	PUNCT
ejpam-1172	261	1	in	in	ADP
ejpam-1172	261	2	general	general	ADJ
ejpam-1172	261	3	,	,	PUNCT
ejpam-1172	261	4	fdtm	fdtm	PROPN
ejpam-1172	261	5	can	can	AUX
ejpam-1172	261	6	be	be	AUX
ejpam-1172	261	7	used	use	VERB
ejpam-1172	261	8	as	as	ADP
ejpam-1172	261	9	a	a	DET
ejpam-1172	261	10	powerful	powerful	ADJ
ejpam-1172	261	11	solver	solver	NOUN
ejpam-1172	261	12	for	for	ADP
ejpam-1172	261	13	the	the	DET
ejpam-1172	261	14	solution	solution	NOUN
ejpam-1172	261	15	of	of	ADP
ejpam-1172	261	16	fractional	fractional	ADJ
ejpam-1172	261	17	differential	differential	ADJ
ejpam-1172	261	18	-	-	PUNCT
ejpam-1172	261	19	algebraic	algebraic	ADJ
ejpam-1172	261	20	equations	equation	NOUN
ejpam-1172	261	21	.	.	PUNCT
ejpam-1172	262	1	references	reference	NOUN
ejpam-1172	262	2	139	139	NUM
ejpam-1172	262	3	references	reference	NOUN
ejpam-1172	262	4	[	[	X
ejpam-1172	262	5	1	1	NUM
ejpam-1172	262	6	]	]	PUNCT
ejpam-1172	262	7	a.arikoglu	a.arikoglu	NOUN
ejpam-1172	262	8	and	and	CCONJ
ejpam-1172	262	9	i.ozkol	i.ozkol	PRON
ejpam-1172	262	10	.	.	PUNCT
ejpam-1172	263	1	solution	solution	NOUN
ejpam-1172	263	2	of	of	ADP
ejpam-1172	263	3	fractional	fractional	ADJ
ejpam-1172	263	4	differential	differential	ADJ
ejpam-1172	263	5	equations	equation	NOUN
ejpam-1172	263	6	by	by	ADP
ejpam-1172	263	7	using	use	VERB
ejpam-1172	263	8	differential	differential	ADJ
ejpam-1172	263	9	transform	transform	NOUN
ejpam-1172	263	10	method	method	NOUN
ejpam-1172	263	11	.	.	PUNCT
ejpam-1172	264	1	chaos	chaos	NOUN
ejpam-1172	264	2	,	,	PUNCT
ejpam-1172	264	3	solitons	soliton	NOUN
ejpam-1172	264	4	and	and	CCONJ
ejpam-1172	264	5	fractals	fractal	NOUN
ejpam-1172	264	6	,	,	PUNCT
ejpam-1172	264	7	34(5):1473–1481	34(5):1473–1481	NUM
ejpam-1172	264	8	,	,	PUNCT
ejpam-1172	264	9	2007	2007	NUM
ejpam-1172	264	10	.	.	PUNCT
ejpam-1172	265	1	[	[	X
ejpam-1172	265	2	2	2	NUM
ejpam-1172	265	3	]	]	X
ejpam-1172	265	4	a.carpinteri	a.carpinteri	NOUN
ejpam-1172	265	5	and	and	CCONJ
ejpam-1172	265	6	f.mainardi	f.mainardi	PROPN
ejpam-1172	265	7	.	.	PUNCT
ejpam-1172	265	8	fractals	fractal	NOUN
ejpam-1172	265	9	and	and	CCONJ
ejpam-1172	265	10	fractional	fractional	ADJ
ejpam-1172	265	11	calculus	calculus	NOUN
ejpam-1172	265	12	in	in	ADP
ejpam-1172	265	13	continuum	continuum	ADJ
ejpam-1172	265	14	mechanics	mechanic	NOUN
ejpam-1172	265	15	.	.	PUNCT
ejpam-1172	266	1	springer	springer	PROPN
ejpam-1172	266	2	,	,	PUNCT
ejpam-1172	266	3	verlag	verlag	PROPN
ejpam-1172	266	4	,	,	PUNCT
ejpam-1172	266	5	wien	wien	PROPN
ejpam-1172	266	6	,	,	PUNCT
ejpam-1172	266	7	new	new	PROPN
ejpam-1172	266	8	york	york	PROPN
ejpam-1172	266	9	,	,	PUNCT
ejpam-1172	266	10	1997	1997	NUM
ejpam-1172	266	11	.	.	PUNCT
ejpam-1172	267	1	[	[	X
ejpam-1172	267	2	3	3	NUM
ejpam-1172	267	3	]	]	PUNCT
ejpam-1172	267	4	a.m.spasic	a.m.spasic	ADJ
ejpam-1172	267	5	and	and	CCONJ
ejpam-1172	267	6	m.p.lazarevic	m.p.lazarevic	ADJ
ejpam-1172	267	7	.	.	PUNCT
ejpam-1172	268	1	electroviscoelasticity	electroviscoelasticity	NOUN
ejpam-1172	268	2	of	of	ADP
ejpam-1172	268	3	liquid	liquid	NOUN
ejpam-1172	268	4	/	/	SYM
ejpam-1172	268	5	liquid	liquid	ADJ
ejpam-1172	268	6	interfaces	interface	NOUN
ejpam-1172	268	7	:	:	PUNCT
ejpam-1172	268	8	fractional	fractional	ADJ
ejpam-1172	268	9	-	-	PUNCT
ejpam-1172	268	10	order	order	NOUN
ejpam-1172	268	11	model	model	NOUN
ejpam-1172	268	12	.	.	PUNCT
ejpam-1172	269	1	j.	j.	PROPN
ejpam-1172	269	2	colloid	colloid	PROPN
ejpam-1172	269	3	interface	interface	PROPN
ejpam-1172	269	4	sci	sci	PROPN
ejpam-1172	269	5	,	,	PUNCT
ejpam-1172	269	6	282:223–230	282:223–230	NUM
ejpam-1172	269	7	,	,	PUNCT
ejpam-1172	269	8	2005	2005	NUM
ejpam-1172	269	9	.	.	PUNCT
ejpam-1172	270	1	[	[	X
ejpam-1172	270	2	4	4	NUM
ejpam-1172	270	3	]	]	PUNCT
ejpam-1172	270	4	e.celik	e.celik	PUNCT
ejpam-1172	270	5	and	and	CCONJ
ejpam-1172	270	6	m.bayram	m.bayram	NOUN
ejpam-1172	270	7	.	.	PUNCT
ejpam-1172	271	1	on	on	ADP
ejpam-1172	271	2	the	the	DET
ejpam-1172	271	3	numerical	numerical	ADJ
ejpam-1172	271	4	solution	solution	NOUN
ejpam-1172	271	5	of	of	ADP
ejpam-1172	271	6	differential	differential	ADJ
ejpam-1172	271	7	-	-	PUNCT
ejpam-1172	271	8	algebraic	algebraic	ADJ
ejpam-1172	271	9	equations	equation	NOUN
ejpam-1172	271	10	by	by	ADP
ejpam-1172	271	11	pade	pade	NOUN
ejpam-1172	271	12	series	series	PROPN
ejpam-1172	271	13	.	.	PUNCT
ejpam-1172	272	1	app	app	PROPN
ejpam-1172	272	2	.	.	PROPN
ejpam-1172	272	3	math	math	PROPN
ejpam-1172	272	4	.	.	PUNCT
ejpam-1172	273	1	and	and	CCONJ
ejpam-1172	273	2	comput	comput	ADJ
ejpam-1172	273	3	.	.	PUNCT
ejpam-1172	273	4	,	,	PUNCT
ejpam-1172	273	5	137(1):151–160	137(1):151–160	NUM
ejpam-1172	273	6	,	,	PUNCT
ejpam-1172	273	7	2003	2003	NUM
ejpam-1172	273	8	.	.	PUNCT
ejpam-1172	274	1	[	[	X
ejpam-1172	274	2	5	5	NUM
ejpam-1172	274	3	]	]	PUNCT
ejpam-1172	274	4	e.celik	e.celik	PUNCT
ejpam-1172	274	5	and	and	CCONJ
ejpam-1172	274	6	m.bayram	m.bayram	NOUN
ejpam-1172	274	7	.	.	PUNCT
ejpam-1172	274	8	numerical	numerical	ADJ
ejpam-1172	274	9	solution	solution	NOUN
ejpam-1172	274	10	of	of	ADP
ejpam-1172	274	11	differential	differential	ADJ
ejpam-1172	274	12	-	-	PUNCT
ejpam-1172	274	13	algebraic	algebraic	ADJ
ejpam-1172	274	14	equation	equation	NOUN
ejpam-1172	274	15	systems	system	NOUN
ejpam-1172	274	16	and	and	CCONJ
ejpam-1172	274	17	applications	application	NOUN
ejpam-1172	274	18	.	.	PUNCT
ejpam-1172	275	1	app	app	PROPN
ejpam-1172	275	2	.	.	PUNCT
ejpam-1172	275	3	math	math	PROPN
ejpam-1172	275	4	.	.	PUNCT
ejpam-1172	276	1	and	and	CCONJ
ejpam-1172	276	2	comput	comput	ADJ
ejpam-1172	276	3	.	.	PUNCT
ejpam-1172	276	4	,	,	PUNCT
ejpam-1172	276	5	154(2):405–413	154(2):405–413	NUM
ejpam-1172	276	6	,	,	PUNCT
ejpam-1172	276	7	2004	2004	NUM
ejpam-1172	276	8	.	.	PUNCT
ejpam-1172	277	1	[	[	X
ejpam-1172	277	2	6	6	NUM
ejpam-1172	277	3	]	]	PUNCT
ejpam-1172	277	4	m.bayram	m.bayram	NOUN
ejpam-1172	277	5	e.celik	e.celik	NOUN
ejpam-1172	277	6	and	and	CCONJ
ejpam-1172	277	7	t.yeloglu	t.yeloglu	PROPN
ejpam-1172	277	8	.	.	PUNCT
ejpam-1172	277	9	solution	solution	NOUN
ejpam-1172	277	10	of	of	ADP
ejpam-1172	277	11	differential	differential	ADJ
ejpam-1172	277	12	algebraic	algebraic	ADJ
ejpam-1172	277	13	equations	equation	NOUN
ejpam-1172	277	14	(	(	PUNCT
ejpam-1172	277	15	dae	dae	VERB
ejpam-1172	277	16	’s	’s	PART
ejpam-1172	277	17	)	)	PUNCT
ejpam-1172	277	18	by	by	ADP
ejpam-1172	277	19	adomian	adomian	NOUN
ejpam-1172	277	20	decomposition	decomposition	NOUN
ejpam-1172	277	21	method	method	NOUN
ejpam-1172	277	22	.	.	PUNCT
ejpam-1172	278	1	int	int	NOUN
ejpam-1172	278	2	.	.	PUNCT
ejpam-1172	279	1	j.	j.	PROPN
ejpam-1172	279	2	pure	pure	PROPN
ejpam-1172	279	3	appl	appl	PROPN
ejpam-1172	279	4	.	.	PUNCT
ejpam-1172	280	1	math.sci	math.sci	X
ejpam-1172	280	2	.	.	NOUN
ejpam-1172	280	3	,	,	PUNCT
ejpam-1172	280	4	3(1):93–100	3(1):93–100	NUM
ejpam-1172	280	5	,	,	PUNCT
ejpam-1172	280	6	2006	2006	NUM
ejpam-1172	280	7	.	.	PUNCT
ejpam-1172	281	1	[	[	X
ejpam-1172	281	2	7	7	NUM
ejpam-1172	281	3	]	]	PUNCT
ejpam-1172	281	4	h.m.jaradat	h.m.jaradat	NOUN
ejpam-1172	281	5	f.awawdeh	f.awawdeh	ADJ
ejpam-1172	281	6	and	and	CCONJ
ejpam-1172	281	7	o.alsayyed	o.alsayyed	ADJ
ejpam-1172	281	8	.	.	PUNCT
ejpam-1172	282	1	solving	solve	VERB
ejpam-1172	282	2	system	system	NOUN
ejpam-1172	282	3	of	of	ADP
ejpam-1172	282	4	daes	daes	PROPN
ejpam-1172	282	5	by	by	ADP
ejpam-1172	282	6	homotopy	homotopy	NOUN
ejpam-1172	282	7	analysis	analysis	NOUN
ejpam-1172	282	8	method	method	NOUN
ejpam-1172	282	9	.	.	PUNCT
ejpam-1172	283	1	chaos	chaos	NOUN
ejpam-1172	283	2	,	,	PUNCT
ejpam-1172	283	3	solitons	soliton	NOUN
ejpam-1172	283	4	and	and	CCONJ
ejpam-1172	283	5	fractals	fractal	NOUN
ejpam-1172	283	6	,	,	PUNCT
ejpam-1172	283	7	42(3):1422–1427	42(3):1422–1427	NUM
ejpam-1172	283	8	,	,	PUNCT
ejpam-1172	283	9	2009	2009	NUM
ejpam-1172	283	10	.	.	PUNCT
ejpam-1172	284	1	[	[	X
ejpam-1172	284	2	8	8	NUM
ejpam-1172	284	3	]	]	PUNCT
ejpam-1172	284	4	f.ayaz	f.ayaz	NOUN
ejpam-1172	284	5	.	.	PUNCT
ejpam-1172	284	6	applications	application	NOUN
ejpam-1172	284	7	of	of	ADP
ejpam-1172	284	8	differential	differential	ADJ
ejpam-1172	284	9	transform	transform	NOUN
ejpam-1172	284	10	method	method	NOUN
ejpam-1172	284	11	to	to	ADP
ejpam-1172	284	12	differential	differential	VERB
ejpam-1172	284	13	-	-	PUNCT
ejpam-1172	284	14	algebraic	algebraic	ADJ
ejpam-1172	284	15	equations	equation	NOUN
ejpam-1172	284	16	.	.	PUNCT
ejpam-1172	285	1	app	app	PROPN
ejpam-1172	285	2	.	.	PUNCT
ejpam-1172	285	3	math	math	PROPN
ejpam-1172	285	4	.	.	PUNCT
ejpam-1172	286	1	and	and	CCONJ
ejpam-1172	286	2	comput	comput	ADJ
ejpam-1172	286	3	.	.	PUNCT
ejpam-1172	286	4	,	,	PUNCT
ejpam-1172	286	5	152(3):649–657	152(3):649–657	NUM
ejpam-1172	286	6	,	,	PUNCT
ejpam-1172	286	7	2004	2004	NUM
ejpam-1172	286	8	.	.	PUNCT
ejpam-1172	287	1	[	[	X
ejpam-1172	287	2	9	9	NUM
ejpam-1172	287	3	]	]	X
ejpam-1172	287	4	f.mainardi	f.mainardi	PROPN
ejpam-1172	287	5	.	.	PUNCT
ejpam-1172	287	6	fractional	fractional	ADJ
ejpam-1172	287	7	calculus	calculus	NOUN
ejpam-1172	287	8	:	:	PUNCT
ejpam-1172	287	9	some	some	DET
ejpam-1172	287	10	basic	basic	ADJ
ejpam-1172	287	11	problems	problem	NOUN
ejpam-1172	287	12	in	in	ADP
ejpam-1172	287	13	continuum	continuum	ADJ
ejpam-1172	287	14	and	and	CCONJ
ejpam-1172	287	15	statistical	statistical	ADJ
ejpam-1172	287	16	mechanics	mechanic	NOUN
ejpam-1172	287	17	,	,	PUNCT
ejpam-1172	287	18	in	in	ADP
ejpam-1172	287	19	:	:	PUNCT
ejpam-1172	287	20	a.	a.	NOUN
ejpam-1172	287	21	carpinteri	carpinteri	PROPN
ejpam-1172	287	22	,	,	PUNCT
ejpam-1172	287	23	f.	f.	PROPN
ejpam-1172	287	24	mainardi	mainardi	PROPN
ejpam-1172	287	25	(	(	PUNCT
ejpam-1172	287	26	eds	eds	PROPN
ejpam-1172	287	27	.	.	PUNCT
ejpam-1172	287	28	)	)	PUNCT
ejpam-1172	287	29	,	,	PUNCT
ejpam-1172	287	30	fractals	fractal	NOUN
ejpam-1172	287	31	and	and	CCONJ
ejpam-1172	287	32	fractional	fractional	ADJ
ejpam-1172	287	33	calculus	calculus	NOUN
ejpam-1172	287	34	in	in	ADP
ejpam-1172	287	35	continuum	continuum	ADJ
ejpam-1172	287	36	mechanics	mechanic	NOUN
ejpam-1172	287	37	.	.	PUNCT
ejpam-1172	288	1	springer	springer	NOUN
ejpam-1172	288	2	,	,	PUNCT
ejpam-1172	288	3	new	new	PROPN
ejpam-1172	288	4	york	york	PROPN
ejpam-1172	288	5	,	,	PUNCT
ejpam-1172	288	6	1997	1997	NUM
ejpam-1172	288	7	.	.	PUNCT
ejpam-1172	289	1	[	[	X
ejpam-1172	289	2	10	10	NUM
ejpam-1172	289	3	]	]	X
ejpam-1172	289	4	s.m.karbassi	s.m.karbassi	ADJ
ejpam-1172	289	5	f.soltanian	f.soltanian	NOUN
ejpam-1172	289	6	and	and	CCONJ
ejpam-1172	289	7	m.m.hosseini	m.m.hosseini	NOUN
ejpam-1172	289	8	.	.	PUNCT
ejpam-1172	289	9	application	application	NOUN
ejpam-1172	289	10	of	of	ADP
ejpam-1172	289	11	he	he	PRON
ejpam-1172	289	12	’s	’	VERB
ejpam-1172	289	13	variational	variational	ADJ
ejpam-1172	289	14	iteration	iteration	NOUN
ejpam-1172	289	15	method	method	NOUN
ejpam-1172	289	16	for	for	ADP
ejpam-1172	289	17	solution	solution	NOUN
ejpam-1172	289	18	of	of	ADP
ejpam-1172	289	19	differential	differential	ADJ
ejpam-1172	289	20	-	-	PUNCT
ejpam-1172	289	21	algebraic	algebraic	ADJ
ejpam-1172	289	22	equations	equation	NOUN
ejpam-1172	289	23	.	.	PUNCT
ejpam-1172	290	1	chaos	chaos	NOUN
ejpam-1172	290	2	,	,	PUNCT
ejpam-1172	290	3	solitons	soliton	NOUN
ejpam-1172	290	4	and	and	CCONJ
ejpam-1172	290	5	fractals	fractal	NOUN
ejpam-1172	290	6	,	,	PUNCT
ejpam-1172	290	7	41(1):436–445	41(1):436–445	NOUN
ejpam-1172	290	8	,	,	PUNCT
ejpam-1172	290	9	2009	2009	NUM
ejpam-1172	290	10	.	.	PUNCT
ejpam-1172	291	1	[	[	X
ejpam-1172	291	2	11	11	NUM
ejpam-1172	291	3	]	]	PUNCT
ejpam-1172	291	4	g.adomian	g.adomian	NOUN
ejpam-1172	291	5	.	.	PUNCT
ejpam-1172	292	1	a	a	DET
ejpam-1172	292	2	review	review	NOUN
ejpam-1172	292	3	of	of	ADP
ejpam-1172	292	4	the	the	DET
ejpam-1172	292	5	decomposition	decomposition	NOUN
ejpam-1172	292	6	method	method	NOUN
ejpam-1172	292	7	in	in	ADP
ejpam-1172	292	8	applied	applied	ADJ
ejpam-1172	292	9	mathematics	mathematic	NOUN
ejpam-1172	292	10	.	.	PUNCT
ejpam-1172	293	1	journal	journal	PROPN
ejpam-1172	293	2	math	math	PROPN
ejpam-1172	293	3	.	.	PUNCT
ejpam-1172	294	1	anal	anal	PROPN
ejpam-1172	294	2	.	.	PUNCT
ejpam-1172	294	3	appl	appl	PROPN
ejpam-1172	294	4	.	.	PROPN
ejpam-1172	294	5	,	,	PUNCT
ejpam-1172	294	6	135:501–54	135:501–54	NUM
ejpam-1172	294	7	,	,	PUNCT
ejpam-1172	294	8	1988	1988	NUM
ejpam-1172	294	9	.	.	PUNCT
ejpam-1172	295	1	[	[	X
ejpam-1172	295	2	12	12	NUM
ejpam-1172	295	3	]	]	PUNCT
ejpam-1172	295	4	g.adomian	g.adomian	X
ejpam-1172	295	5	.	.	PUNCT
ejpam-1172	296	1	solving	solve	VERB
ejpam-1172	296	2	frontier	frontier	NOUN
ejpam-1172	296	3	problems	problem	NOUN
ejpam-1172	296	4	of	of	ADP
ejpam-1172	296	5	physics	physics	NOUN
ejpam-1172	296	6	:	:	PUNCT
ejpam-1172	296	7	the	the	DET
ejpam-1172	296	8	decomposition	decomposition	NOUN
ejpam-1172	296	9	method	method	NOUN
ejpam-1172	296	10	.	.	PUNCT
ejpam-1172	297	1	kluwer	kluwer	NOUN
ejpam-1172	297	2	academic	academic	PROPN
ejpam-1172	297	3	publisher	publisher	NOUN
ejpam-1172	297	4	,	,	PUNCT
ejpam-1172	297	5	boston	boston	PROPN
ejpam-1172	297	6	,	,	PUNCT
ejpam-1172	297	7	1994	1994	NUM
ejpam-1172	297	8	.	.	PUNCT
ejpam-1172	298	1	[	[	X
ejpam-1172	298	2	13	13	NUM
ejpam-1172	298	3	]	]	PUNCT
ejpam-1172	298	4	h.jafari	h.jafari	NOUN
ejpam-1172	298	5	and	and	CCONJ
ejpam-1172	298	6	s.seifi	s.seifi	PROPN
ejpam-1172	298	7	.	.	NOUN
ejpam-1172	298	8	homotopy	homotopy	VERB
ejpam-1172	298	9	analysis	analysis	NOUN
ejpam-1172	298	10	method	method	NOUN
ejpam-1172	298	11	for	for	ADP
ejpam-1172	298	12	solving	solve	VERB
ejpam-1172	298	13	linear	linear	NOUN
ejpam-1172	298	14	and	and	CCONJ
ejpam-1172	298	15	nonlinear	nonlinear	ADJ
ejpam-1172	298	16	fractional	fractional	ADJ
ejpam-1172	298	17	diffusion	diffusion	NOUN
ejpam-1172	298	18	-	-	PUNCT
ejpam-1172	298	19	wave	wave	NOUN
ejpam-1172	298	20	equation	equation	NOUN
ejpam-1172	298	21	.	.	PUNCT
ejpam-1172	299	1	com.non.sci.num.sim	com.non.sci.num.sim	PROPN
ejpam-1172	299	2	.	.	PUNCT
ejpam-1172	299	3	,	,	PUNCT
ejpam-1172	299	4	14(5):2006–2012	14(5):2006–2012	NUM
ejpam-1172	299	5	,	,	PUNCT
ejpam-1172	299	6	2009	2009	NUM
ejpam-1172	299	7	.	.	PUNCT
ejpam-1172	300	1	[	[	X
ejpam-1172	300	2	14	14	NUM
ejpam-1172	300	3	]	]	PUNCT
ejpam-1172	300	4	h.jafari	h.jafari	ADJ
ejpam-1172	300	5	and	and	CCONJ
ejpam-1172	300	6	v.daftardar	v.daftardar	NOUN
ejpam-1172	300	7	-	-	PUNCT
ejpam-1172	300	8	gejji	gejji	NOUN
ejpam-1172	300	9	.	.	PUNCT
ejpam-1172	301	1	positive	positive	ADJ
ejpam-1172	301	2	solutions	solution	NOUN
ejpam-1172	301	3	of	of	ADP
ejpam-1172	301	4	nonlinear	nonlinear	ADJ
ejpam-1172	301	5	fractional	fractional	ADJ
ejpam-1172	301	6	boundary	boundary	ADJ
ejpam-1172	301	7	value	value	NOUN
ejpam-1172	301	8	problems	problem	NOUN
ejpam-1172	301	9	using	use	VERB
ejpam-1172	301	10	adomian	adomian	NOUN
ejpam-1172	301	11	decomposition	decomposition	NOUN
ejpam-1172	301	12	method	method	NOUN
ejpam-1172	301	13	.	.	PUNCT
ejpam-1172	302	1	appl	appl	PROPN
ejpam-1172	302	2	.	.	PROPN
ejpam-1172	302	3	math	math	PROPN
ejpam-1172	302	4	.	.	PUNCT
ejpam-1172	303	1	comput	comput	NOUN
ejpam-1172	303	2	.	.	PUNCT
ejpam-1172	303	3	,	,	PUNCT
ejpam-1172	303	4	180(2):700	180(2):700	NUM
ejpam-1172	303	5	–	–	PUNCT
ejpam-1172	303	6	706	706	NUM
ejpam-1172	303	7	,	,	PUNCT
ejpam-1172	303	8	2006	2006	NUM
ejpam-1172	303	9	.	.	PUNCT
ejpam-1172	304	1	[	[	X
ejpam-1172	304	2	15	15	NUM
ejpam-1172	304	3	]	]	X
ejpam-1172	304	4	h.liu	h.liu	NOUN
ejpam-1172	304	5	and	and	CCONJ
ejpam-1172	304	6	y.song	y.song	NOUN
ejpam-1172	304	7	.	.	PUNCT
ejpam-1172	305	1	differential	differential	ADJ
ejpam-1172	305	2	transform	transform	NOUN
ejpam-1172	305	3	method	method	NOUN
ejpam-1172	305	4	applied	apply	VERB
ejpam-1172	305	5	to	to	ADP
ejpam-1172	305	6	high	high	ADJ
ejpam-1172	305	7	index	index	NOUN
ejpam-1172	305	8	differentialalgebraic	differentialalgebraic	PROPN
ejpam-1172	305	9	equations	equation	NOUN
ejpam-1172	305	10	.	.	PUNCT
ejpam-1172	306	1	app	app	PROPN
ejpam-1172	306	2	.	.	PUNCT
ejpam-1172	306	3	math	math	PROPN
ejpam-1172	306	4	.	.	PUNCT
ejpam-1172	307	1	and	and	CCONJ
ejpam-1172	307	2	comput	comput	ADJ
ejpam-1172	307	3	.	.	PUNCT
ejpam-1172	307	4	,	,	PUNCT
ejpam-1172	307	5	184(2):748–753	184(2):748–753	NUM
ejpam-1172	307	6	,	,	PUNCT
ejpam-1172	307	7	2007	2007	NUM
ejpam-1172	307	8	.	.	PUNCT
ejpam-1172	308	1	references	reference	NOUN
ejpam-1172	308	2	140	140	NUM
ejpam-1172	309	1	[	[	X
ejpam-1172	309	2	16	16	NUM
ejpam-1172	309	3	]	]	PUNCT
ejpam-1172	309	4	i.podlubny	i.podlubny	NOUN
ejpam-1172	309	5	.	.	PUNCT
ejpam-1172	309	6	fractional	fractional	ADJ
ejpam-1172	309	7	differential	differential	ADJ
ejpam-1172	309	8	equations	equation	NOUN
ejpam-1172	309	9	.	.	PUNCT
ejpam-1172	310	1	academic	academic	ADJ
ejpam-1172	310	2	press	press	NOUN
ejpam-1172	310	3	,	,	PUNCT
ejpam-1172	310	4	new	new	PROPN
ejpam-1172	310	5	york	york	PROPN
ejpam-1172	310	6	,	,	PUNCT
ejpam-1172	310	7	1999	1999	NUM
ejpam-1172	310	8	.	.	PUNCT
ejpam-1172	311	1	[	[	X
ejpam-1172	311	2	17	17	NUM
ejpam-1172	311	3	]	]	PUNCT
ejpam-1172	311	4	i.podlubny	i.podlubny	NOUN
ejpam-1172	311	5	.	.	PUNCT
ejpam-1172	311	6	fractional	fractional	ADJ
ejpam-1172	311	7	differential	differential	ADJ
ejpam-1172	311	8	equations	equation	NOUN
ejpam-1172	311	9	.	.	PUNCT
ejpam-1172	312	1	an	an	DET
ejpam-1172	312	2	introduction	introduction	NOUN
ejpam-1172	312	3	to	to	ADP
ejpam-1172	312	4	fractional	fractional	ADJ
ejpam-1172	312	5	derivatives	derivative	NOUN
ejpam-1172	312	6	fractional	fractional	ADJ
ejpam-1172	312	7	differential	differential	ADJ
ejpam-1172	312	8	equations	equation	NOUN
ejpam-1172	312	9	some	some	DET
ejpam-1172	312	10	methods	method	NOUN
ejpam-1172	312	11	of	of	ADP
ejpam-1172	312	12	their	their	PRON
ejpam-1172	312	13	solution	solution	NOUN
ejpam-1172	312	14	and	and	CCONJ
ejpam-1172	312	15	some	some	PRON
ejpam-1172	312	16	of	of	ADP
ejpam-1172	312	17	their	their	PRON
ejpam-1172	312	18	applications	application	NOUN
ejpam-1172	312	19	.	.	PUNCT
ejpam-1172	313	1	academic	academic	ADJ
ejpam-1172	313	2	press	press	NOUN
ejpam-1172	313	3	,	,	PUNCT
ejpam-1172	313	4	sandiego	sandiego	PROPN
ejpam-1172	313	5	,	,	PUNCT
ejpam-1172	313	6	1999	1999	NUM
ejpam-1172	313	7	.	.	PUNCT
ejpam-1172	314	1	[	[	X
ejpam-1172	314	2	18	18	NUM
ejpam-1172	314	3	]	]	X
ejpam-1172	314	4	j.he	j.he	PROPN
ejpam-1172	314	5	.	.	PUNCT
ejpam-1172	315	1	a	a	DET
ejpam-1172	315	2	new	new	ADJ
ejpam-1172	315	3	approach	approach	NOUN
ejpam-1172	315	4	to	to	ADP
ejpam-1172	315	5	nonlinear	nonlinear	ADJ
ejpam-1172	315	6	partial	partial	ADJ
ejpam-1172	315	7	differential	differential	NOUN
ejpam-1172	315	8	equations	equation	NOUN
ejpam-1172	315	9	.	.	PUNCT
ejpam-1172	316	1	commun	commun	PROPN
ejpam-1172	316	2	.	.	PUNCT
ejpam-1172	317	1	nonlinear	nonlinear	PROPN
ejpam-1172	317	2	sci	sci	PROPN
ejpam-1172	317	3	.	.	PUNCT
ejpam-1172	318	1	num	num	PROPN
ejpam-1172	318	2	.	.	PUNCT
ejpam-1172	318	3	sim	sim	PROPN
ejpam-1172	318	4	.	.	PROPN
ejpam-1172	318	5	,	,	PUNCT
ejpam-1172	319	1	2:230–235	2:230–235	NUM
ejpam-1172	319	2	,	,	PUNCT
ejpam-1172	319	3	1997	1997	NUM
ejpam-1172	319	4	.	.	PUNCT
ejpam-1172	320	1	[	[	X
ejpam-1172	320	2	19	19	NUM
ejpam-1172	320	3	]	]	X
ejpam-1172	320	4	j.he	j.he	PROPN
ejpam-1172	320	5	.	.	PROPN
ejpam-1172	320	6	approximate	approximate	ADJ
ejpam-1172	320	7	analytical	analytical	ADJ
ejpam-1172	320	8	solution	solution	NOUN
ejpam-1172	320	9	for	for	ADP
ejpam-1172	320	10	seepage	seepage	NOUN
ejpam-1172	320	11	flow	flow	NOUN
ejpam-1172	320	12	with	with	ADP
ejpam-1172	320	13	fractional	fractional	ADJ
ejpam-1172	320	14	derivatives	derivative	NOUN
ejpam-1172	320	15	in	in	ADP
ejpam-1172	320	16	porous	porous	ADJ
ejpam-1172	320	17	media	medium	NOUN
ejpam-1172	320	18	.	.	PUNCT
ejpam-1172	321	1	comput	comput	NOUN
ejpam-1172	321	2	.	.	PUNCT
ejpam-1172	322	1	methods	method	NOUN
ejpam-1172	322	2	appl	appl	PROPN
ejpam-1172	322	3	.	.	PROPN
ejpam-1172	322	4	mech	mech	PROPN
ejpam-1172	322	5	.	.	PUNCT
ejpam-1172	323	1	engrg	engrg	PROPN
ejpam-1172	323	2	.	.	PROPN
ejpam-1172	323	3	,	,	PUNCT
ejpam-1172	324	1	167:57–68	167:57–68	NUM
ejpam-1172	324	2	,	,	PUNCT
ejpam-1172	324	3	1998	1998	NUM
ejpam-1172	324	4	.	.	PUNCT
ejpam-1172	325	1	[	[	X
ejpam-1172	325	2	20	20	NUM
ejpam-1172	325	3	]	]	X
ejpam-1172	325	4	j.k.zhou	j.k.zhou	NOUN
ejpam-1172	325	5	.	.	PUNCT
ejpam-1172	325	6	differential	differential	ADJ
ejpam-1172	325	7	transformation	transformation	NOUN
ejpam-1172	325	8	and	and	CCONJ
ejpam-1172	325	9	its	its	PRON
ejpam-1172	325	10	applications	application	NOUN
ejpam-1172	325	11	for	for	ADP
ejpam-1172	325	12	electrical	electrical	ADJ
ejpam-1172	325	13	circuits	circuit	NOUN
ejpam-1172	325	14	.	.	PUNCT
ejpam-1172	326	1	phd	phd	NOUN
ejpam-1172	326	2	thesis	thesis	PROPN
ejpam-1172	326	3	,	,	PUNCT
ejpam-1172	326	4	wuhan	wuhan	PROPN
ejpam-1172	326	5	,	,	PUNCT
ejpam-1172	326	6	china	china	PROPN
ejpam-1172	326	7	:	:	PUNCT
ejpam-1172	326	8	huazhong	huazhong	PROPN
ejpam-1172	326	9	universit	universit	PROPN
ejpam-1172	326	10	,	,	PUNCT
ejpam-1172	326	11	1986	1986	NUM
ejpam-1172	326	12	.	.	PUNCT
ejpam-1172	327	1	[	[	X
ejpam-1172	327	2	21	21	NUM
ejpam-1172	327	3	]	]	X
ejpam-1172	327	4	k.b.oldham	k.b.oldham	PROPN
ejpam-1172	327	5	and	and	CCONJ
ejpam-1172	327	6	j.spanier	j.spani	ADJ
ejpam-1172	327	7	.	.	PUNCT
ejpam-1172	328	1	the	the	DET
ejpam-1172	328	2	fractional	fractional	ADJ
ejpam-1172	328	3	calculus	calculus	NOUN
ejpam-1172	328	4	.	.	PUNCT
ejpam-1172	329	1	academic	academic	ADJ
ejpam-1172	329	2	press	press	NOUN
ejpam-1172	329	3	,	,	PUNCT
ejpam-1172	329	4	new	new	PROPN
ejpam-1172	329	5	york	york	PROPN
ejpam-1172	329	6	,	,	PUNCT
ejpam-1172	329	7	1974	1974	NUM
ejpam-1172	329	8	.	.	PUNCT
ejpam-1172	330	1	[	[	X
ejpam-1172	330	2	22	22	NUM
ejpam-1172	330	3	]	]	PUNCT
ejpam-1172	330	4	m.caputo	m.caputo	X
ejpam-1172	330	5	.	.	PUNCT
ejpam-1172	331	1	linear	linear	ADJ
ejpam-1172	331	2	models	model	NOUN
ejpam-1172	331	3	of	of	ADP
ejpam-1172	331	4	dissipation	dissipation	NOUN
ejpam-1172	331	5	whose	whose	DET
ejpam-1172	331	6	q	q	NOUN
ejpam-1172	331	7	is	be	AUX
ejpam-1172	331	8	almost	almost	ADV
ejpam-1172	331	9	frequency	frequency	ADJ
ejpam-1172	331	10	independent	independent	ADJ
ejpam-1172	331	11	part	part	PROPN
ejpam-1172	331	12	ii	ii	PROPN
ejpam-1172	331	13	.	.	PUNCT
ejpam-1172	332	1	j	j	PROPN
ejpam-1172	332	2	roy	roy	PROPN
ejpam-1172	332	3	austral	austral	PROPN
ejpam-1172	332	4	soc	soc	PROPN
ejpam-1172	332	5	.	.	PUNCT
ejpam-1172	332	6	,	,	PUNCT
ejpam-1172	332	7	13:529–539	13:529–539	PROPN
ejpam-1172	332	8	,	,	PUNCT
ejpam-1172	332	9	1967	1967	NUM
ejpam-1172	332	10	.	.	PUNCT
ejpam-1172	333	1	[	[	X
ejpam-1172	333	2	23	23	NUM
ejpam-1172	333	3	]	]	X
ejpam-1172	333	4	k.s	k.s	PROPN
ejpam-1172	333	5	.	.	PROPN
ejpam-1172	333	6	miller	miller	PROPN
ejpam-1172	333	7	and	and	CCONJ
ejpam-1172	333	8	b.ross	b.ross	NOUN
ejpam-1172	333	9	.	.	PUNCT
ejpam-1172	334	1	an	an	DET
ejpam-1172	334	2	introduction	introduction	NOUN
ejpam-1172	334	3	to	to	ADP
ejpam-1172	334	4	the	the	DET
ejpam-1172	334	5	fractional	fractional	ADJ
ejpam-1172	334	6	calculus	calculus	NOUN
ejpam-1172	334	7	and	and	CCONJ
ejpam-1172	334	8	fractional	fractional	ADJ
ejpam-1172	334	9	differential	differential	ADJ
ejpam-1172	334	10	equations	equation	NOUN
ejpam-1172	334	11	.	.	PUNCT
ejpam-1172	335	1	john	john	PROPN
ejpam-1172	335	2	wiley	wiley	PROPN
ejpam-1172	335	3	and	and	CCONJ
ejpam-1172	335	4	sons	sons	PROPN
ejpam-1172	335	5	inc	inc	PROPN
ejpam-1172	335	6	.	.	PROPN
ejpam-1172	335	7	,	,	PUNCT
ejpam-1172	335	8	new	new	PROPN
ejpam-1172	335	9	york	york	PROPN
ejpam-1172	335	10	,	,	PUNCT
ejpam-1172	335	11	1993	1993	NUM
ejpam-1172	335	12	.	.	PUNCT
ejpam-1172	336	1	[	[	X
ejpam-1172	336	2	24	24	NUM
ejpam-1172	336	3	]	]	PUNCT
ejpam-1172	336	4	m.m.hosseini	m.m.hosseini	NOUN
ejpam-1172	336	5	.	.	PUNCT
ejpam-1172	336	6	adomain	adomain	NOUN
ejpam-1172	336	7	decomposition	decomposition	NOUN
ejpam-1172	336	8	method	method	NOUN
ejpam-1172	336	9	for	for	ADP
ejpam-1172	336	10	solution	solution	NOUN
ejpam-1172	336	11	of	of	ADP
ejpam-1172	336	12	differential	differential	ADJ
ejpam-1172	336	13	algebraic	algebraic	ADJ
ejpam-1172	336	14	equations	equation	NOUN
ejpam-1172	336	15	.	.	PUNCT
ejpam-1172	337	1	app	app	PROPN
ejpam-1172	337	2	.	.	PUNCT
ejpam-1172	337	3	math	math	PROPN
ejpam-1172	337	4	.	.	PUNCT
ejpam-1172	338	1	and	and	CCONJ
ejpam-1172	338	2	comput	comput	ADJ
ejpam-1172	338	3	.	.	PUNCT
ejpam-1172	338	4	,	,	PUNCT
ejpam-1172	338	5	197:495–501	197:495–501	NUM
ejpam-1172	338	6	,	,	PUNCT
ejpam-1172	338	7	2006	2006	NUM
ejpam-1172	338	8	.	.	PUNCT
ejpam-1172	339	1	[	[	X
ejpam-1172	339	2	25	25	NUM
ejpam-1172	339	3	]	]	PUNCT
ejpam-1172	339	4	m.m.hosseini	m.m.hosseini	NOUN
ejpam-1172	339	5	.	.	PUNCT
ejpam-1172	339	6	adomain	adomain	NOUN
ejpam-1172	339	7	decomposition	decomposition	NOUN
ejpam-1172	339	8	method	method	NOUN
ejpam-1172	339	9	for	for	ADP
ejpam-1172	339	10	solution	solution	NOUN
ejpam-1172	339	11	of	of	ADP
ejpam-1172	339	12	differential	differential	ADJ
ejpam-1172	339	13	algebraic	algebraic	ADJ
ejpam-1172	339	14	equations	equation	NOUN
ejpam-1172	339	15	.	.	PUNCT
ejpam-1172	340	1	j.	j.	PROPN
ejpam-1172	340	2	comput	comput	PROPN
ejpam-1172	340	3	.	.	PUNCT
ejpam-1172	340	4	and	and	CCONJ
ejpam-1172	340	5	app	app	PROPN
ejpam-1172	340	6	.	.	PROPN
ejpam-1172	340	7	math	math	PROPN
ejpam-1172	340	8	.	.	PUNCT
ejpam-1172	340	9	,	,	PUNCT
ejpam-1172	340	10	197(2):495–501	197(2):495–501	NUM
ejpam-1172	340	11	,	,	PUNCT
ejpam-1172	340	12	2006	2006	NUM
ejpam-1172	340	13	.	.	PUNCT
ejpam-1172	341	1	[	[	X
ejpam-1172	341	2	26	26	NUM
ejpam-1172	341	3	]	]	PUNCT
ejpam-1172	341	4	s.momani	s.momani	NOUN
ejpam-1172	341	5	m.zurigat	m.zurigat	NOUN
ejpam-1172	341	6	and	and	CCONJ
ejpam-1172	341	7	a.alawneh	a.alawneh	ADV
ejpam-1172	341	8	.	.	PUNCT
ejpam-1172	342	1	analytical	analytical	ADJ
ejpam-1172	342	2	approximate	approximate	ADJ
ejpam-1172	342	3	solutions	solution	NOUN
ejpam-1172	342	4	of	of	ADP
ejpam-1172	342	5	systems	system	NOUN
ejpam-1172	342	6	of	of	ADP
ejpam-1172	342	7	fractional	fractional	ADJ
ejpam-1172	342	8	algebraic	algebraic	ADJ
ejpam-1172	342	9	-	-	PUNCT
ejpam-1172	342	10	differential	differential	NOUN
ejpam-1172	342	11	equations	equation	NOUN
ejpam-1172	342	12	by	by	ADP
ejpam-1172	342	13	homotopy	homotopy	NOUN
ejpam-1172	342	14	analysis	analysis	NOUN
ejpam-1172	342	15	method	method	NOUN
ejpam-1172	342	16	.	.	PUNCT
ejpam-1172	343	1	computers	computer	NOUN
ejpam-1172	343	2	and	and	CCONJ
ejpam-1172	343	3	math	math	NOUN
ejpam-1172	343	4	.	.	PUNCT
ejpam-1172	344	1	with	with	ADP
ejpam-1172	344	2	app	app	PROPN
ejpam-1172	344	3	.	.	PROPN
ejpam-1172	344	4	,	,	PUNCT
ejpam-1172	344	5	59(3):1227–1235	59(3):1227–1235	NUM
ejpam-1172	344	6	,	,	PUNCT
ejpam-1172	344	7	2010	2010	NUM
ejpam-1172	344	8	.	.	PUNCT
ejpam-1172	345	1	[	[	X
ejpam-1172	345	2	27	27	NUM
ejpam-1172	345	3	]	]	PUNCT
ejpam-1172	345	4	z.odibat	z.odibat	X
ejpam-1172	345	5	m.zurigat	m.zurigat	NOUN
ejpam-1172	345	6	,	,	PUNCT
ejpam-1172	345	7	s.momani	s.momani	ADJ
ejpam-1172	345	8	and	and	CCONJ
ejpam-1172	345	9	a.alawneh	a.alawneh	ADV
ejpam-1172	345	10	.	.	PUNCT
ejpam-1172	346	1	the	the	DET
ejpam-1172	346	2	homotopy	homotopy	NOUN
ejpam-1172	346	3	analysis	analysis	NOUN
ejpam-1172	346	4	method	method	NOUN
ejpam-1172	346	5	for	for	ADP
ejpam-1172	346	6	handling	handle	VERB
ejpam-1172	346	7	systems	system	NOUN
ejpam-1172	346	8	of	of	ADP
ejpam-1172	346	9	fractional	fractional	ADJ
ejpam-1172	346	10	differential	differential	ADJ
ejpam-1172	346	11	equations	equation	NOUN
ejpam-1172	346	12	.	.	PUNCT
ejpam-1172	347	1	app	app	PROPN
ejpam-1172	347	2	.	.	PROPN
ejpam-1172	347	3	math	math	PROPN
ejpam-1172	347	4	.	.	PUNCT
ejpam-1172	348	1	modelling	modelling	NOUN
ejpam-1172	348	2	,	,	PUNCT
ejpam-1172	348	3	34(1):24	34(1):24	NUM
ejpam-1172	348	4	–	–	PUNCT
ejpam-1172	348	5	35	35	NUM
ejpam-1172	348	6	,	,	PUNCT
ejpam-1172	348	7	2010	2010	NUM
ejpam-1172	348	8	.	.	PUNCT
ejpam-1172	349	1	[	[	X
ejpam-1172	349	2	28	28	NUM
ejpam-1172	349	3	]	]	X
ejpam-1172	349	4	n.guzel	n.guzel	ADJ
ejpam-1172	349	5	and	and	CCONJ
ejpam-1172	349	6	m.bayram	m.bayram	NOUN
ejpam-1172	349	7	.	.	PUNCT
ejpam-1172	350	1	numerical	numerical	ADJ
ejpam-1172	350	2	solution	solution	NOUN
ejpam-1172	350	3	of	of	ADP
ejpam-1172	350	4	differential	differential	ADJ
ejpam-1172	350	5	algebraic	algebraic	ADJ
ejpam-1172	350	6	equations	equation	NOUN
ejpam-1172	350	7	with	with	ADP
ejpam-1172	350	8	index-2	index-2	PROPN
ejpam-1172	350	9	.	.	PROPN
ejpam-1172	350	10	appl	appl	PROPN
ejpam-1172	350	11	.	.	PROPN
ejpam-1172	350	12	math	math	PROPN
ejpam-1172	350	13	.	.	PUNCT
ejpam-1172	351	1	comput	comput	NOUN
ejpam-1172	351	2	.	.	PUNCT
ejpam-1172	351	3	,	,	PUNCT
ejpam-1172	351	4	174(2):1279–1289	174(2):1279–1289	PROPN
ejpam-1172	351	5	,	,	PUNCT
ejpam-1172	351	6	2006	2006	NUM
ejpam-1172	351	7	.	.	PUNCT
ejpam-1172	352	1	[	[	X
ejpam-1172	352	2	29	29	NUM
ejpam-1172	352	3	]	]	X
ejpam-1172	352	4	n.guzel	n.guzel	ADJ
ejpam-1172	352	5	and	and	CCONJ
ejpam-1172	352	6	m.bayram	m.bayram	NOUN
ejpam-1172	352	7	.	.	PUNCT
ejpam-1172	353	1	on	on	ADP
ejpam-1172	353	2	the	the	DET
ejpam-1172	353	3	numerical	numerical	ADJ
ejpam-1172	353	4	solution	solution	NOUN
ejpam-1172	353	5	of	of	ADP
ejpam-1172	353	6	differential	differential	ADJ
ejpam-1172	353	7	algebraic	algebraic	ADJ
ejpam-1172	353	8	equations	equation	NOUN
ejpam-1172	353	9	with	with	ADP
ejpam-1172	353	10	index-3	index-3	PROPN
ejpam-1172	353	11	.	.	PUNCT
ejpam-1172	353	12	appl	appl	PROPN
ejpam-1172	353	13	.	.	PROPN
ejpam-1172	353	14	math	math	PROPN
ejpam-1172	353	15	.	.	PUNCT
ejpam-1172	354	1	comput	comput	NOUN
ejpam-1172	354	2	.	.	PUNCT
ejpam-1172	354	3	,	,	PUNCT
ejpam-1172	354	4	175(2):1320–1331	175(2):1320–1331	PROPN
ejpam-1172	354	5	,	,	PUNCT
ejpam-1172	354	6	2006	2006	NUM
ejpam-1172	354	7	.	.	PUNCT
ejpam-1172	355	1	[	[	X
ejpam-1172	355	2	30	30	NUM
ejpam-1172	355	3	]	]	PUNCT
ejpam-1172	355	4	n.t.shawagfeh	n.t.shawagfeh	NOUN
ejpam-1172	355	5	.	.	PUNCT
ejpam-1172	355	6	analytical	analytical	ADJ
ejpam-1172	355	7	approximate	approximate	ADJ
ejpam-1172	355	8	solutions	solution	NOUN
ejpam-1172	355	9	for	for	ADP
ejpam-1172	355	10	nonlinear	nonlinear	ADJ
ejpam-1172	355	11	fractional	fractional	ADJ
ejpam-1172	355	12	differential	differential	ADJ
ejpam-1172	355	13	equations	equation	NOUN
ejpam-1172	355	14	.	.	PUNCT
ejpam-1172	356	1	appl	appl	PROPN
ejpam-1172	356	2	math	math	PROPN
ejpam-1172	356	3	comput	comput	PROPN
ejpam-1172	356	4	.	.	PUNCT
ejpam-1172	356	5	,	,	PUNCT
ejpam-1172	356	6	131:517–529	131:517–529	NUM
ejpam-1172	356	7	,	,	PUNCT
ejpam-1172	356	8	2002	2002	NUM
ejpam-1172	356	9	.	.	PUNCT
ejpam-1172	357	1	[	[	X
ejpam-1172	357	2	31	31	NUM
ejpam-1172	357	3	]	]	PUNCT
ejpam-1172	357	4	r.gorenflo	r.gorenflo	NOUN
ejpam-1172	357	5	and	and	CCONJ
ejpam-1172	357	6	f.mainardi	f.mainardi	PROPN
ejpam-1172	357	7	.	.	PUNCT
ejpam-1172	357	8	fractional	fractional	ADJ
ejpam-1172	357	9	calculus	calculus	NOUN
ejpam-1172	357	10	:	:	PUNCT
ejpam-1172	357	11	integral	integral	ADJ
ejpam-1172	357	12	and	and	CCONJ
ejpam-1172	357	13	differential	differential	ADJ
ejpam-1172	357	14	equations	equation	NOUN
ejpam-1172	357	15	of	of	ADP
ejpam-1172	357	16	fractional	fractional	ADJ
ejpam-1172	357	17	order	order	NOUN
ejpam-1172	357	18	,	,	PUNCT
ejpam-1172	357	19	in	in	ADP
ejpam-1172	357	20	:	:	PUNCT
ejpam-1172	357	21	a.	a.	NOUN
ejpam-1172	357	22	carpinteri	carpinteri	PROPN
ejpam-1172	357	23	,	,	PUNCT
ejpam-1172	357	24	f.	f.	PROPN
ejpam-1172	357	25	mainardi	mainardi	PROPN
ejpam-1172	357	26	(	(	PUNCT
ejpam-1172	357	27	eds	eds	PROPN
ejpam-1172	357	28	.	.	PUNCT
ejpam-1172	357	29	)	)	PUNCT
ejpam-1172	357	30	,	,	PUNCT
ejpam-1172	357	31	fractals	fractal	NOUN
ejpam-1172	357	32	and	and	CCONJ
ejpam-1172	357	33	fractional	fractional	ADJ
ejpam-1172	357	34	calculus	calculus	NOUN
ejpam-1172	357	35	in	in	ADP
ejpam-1172	357	36	continuum	continuum	ADJ
ejpam-1172	357	37	mechanics	mechanic	NOUN
ejpam-1172	357	38	.	.	PUNCT
ejpam-1172	358	1	springer	springer	NOUN
ejpam-1172	358	2	,	,	PUNCT
ejpam-1172	358	3	new	new	PROPN
ejpam-1172	358	4	york	york	PROPN
ejpam-1172	358	5	,	,	PUNCT
ejpam-1172	358	6	1997	1997	NUM
ejpam-1172	358	7	.	.	PUNCT
ejpam-1172	359	1	references	reference	NOUN
ejpam-1172	359	2	141	141	NUM
ejpam-1172	359	3	[	[	SYM
ejpam-1172	359	4	32	32	NUM
ejpam-1172	359	5	]	]	PUNCT
ejpam-1172	359	6	r.hilfer	r.hilfer	NOUN
ejpam-1172	359	7	.	.	PUNCT
ejpam-1172	360	1	applications	application	NOUN
ejpam-1172	360	2	of	of	ADP
ejpam-1172	360	3	fractional	fractional	ADJ
ejpam-1172	360	4	calculus	calculus	NOUN
ejpam-1172	360	5	in	in	ADP
ejpam-1172	360	6	physics	physics	NOUN
ejpam-1172	360	7	.	.	PUNCT
ejpam-1172	361	1	academic	academic	ADJ
ejpam-1172	361	2	press	press	PROPN
ejpam-1172	361	3	,	,	PUNCT
ejpam-1172	361	4	orlando	orlando	PROPN
ejpam-1172	361	5	,	,	PUNCT
ejpam-1172	361	6	1999	1999	NUM
ejpam-1172	361	7	.	.	PUNCT
ejpam-1172	362	1	[	[	X
ejpam-1172	362	2	33	33	NUM
ejpam-1172	362	3	]	]	PUNCT
ejpam-1172	362	4	s.abbasbandy	s.abbasbandy	NOUN
ejpam-1172	362	5	.	.	PUNCT
ejpam-1172	363	1	an	an	DET
ejpam-1172	363	2	approximation	approximation	NOUN
ejpam-1172	363	3	solution	solution	NOUN
ejpam-1172	363	4	of	of	ADP
ejpam-1172	363	5	a	a	DET
ejpam-1172	363	6	nonlinear	nonlinear	ADJ
ejpam-1172	363	7	equation	equation	NOUN
ejpam-1172	363	8	with	with	ADP
ejpam-1172	363	9	riemannliouville	riemannliouville	NOUN
ejpam-1172	363	10	’s	’s	PART
ejpam-1172	363	11	fractional	fractional	ADJ
ejpam-1172	363	12	derivatives	derivative	NOUN
ejpam-1172	363	13	by	by	ADP
ejpam-1172	363	14	he	he	PRON
ejpam-1172	363	15	’s	’	VERB
ejpam-1172	363	16	variational	variational	ADJ
ejpam-1172	363	17	iteration	iteration	NOUN
ejpam-1172	363	18	method	method	NOUN
ejpam-1172	363	19	.	.	PUNCT
ejpam-1172	364	1	j.	j.	PROPN
ejpam-1172	364	2	compu	compu	PROPN
ejpam-1172	364	3	.	.	PUNCT
ejpam-1172	364	4	and	and	CCONJ
ejpam-1172	364	5	app	app	PROPN
ejpam-1172	364	6	.	.	PROPN
ejpam-1172	364	7	math	math	PROPN
ejpam-1172	364	8	.	.	PUNCT
ejpam-1172	365	1	,	,	PUNCT
ejpam-1172	365	2	207(1):53–58	207(1):53–58	NUM
ejpam-1172	365	3	,	,	PUNCT
ejpam-1172	365	4	2007	2007	NUM
ejpam-1172	365	5	.	.	PUNCT
ejpam-1172	366	1	[	[	X
ejpam-1172	366	2	34	34	NUM
ejpam-1172	366	3	]	]	PUNCT
ejpam-1172	366	4	s.j.liao	s.j.liao	NOUN
ejpam-1172	366	5	.	.	PUNCT
ejpam-1172	367	1	the	the	DET
ejpam-1172	367	2	proposed	propose	VERB
ejpam-1172	367	3	homotopy	homotopy	NOUN
ejpam-1172	367	4	analysis	analysis	NOUN
ejpam-1172	367	5	technique	technique	NOUN
ejpam-1172	367	6	for	for	ADP
ejpam-1172	367	7	the	the	DET
ejpam-1172	367	8	solution	solution	NOUN
ejpam-1172	367	9	of	of	ADP
ejpam-1172	367	10	nonlinear	nonlinear	ADJ
ejpam-1172	367	11	problems	problem	NOUN
ejpam-1172	367	12	.	.	PUNCT
ejpam-1172	368	1	phd	phd	NOUN
ejpam-1172	368	2	thesis	thesis	PROPN
ejpam-1172	368	3	,	,	PUNCT
ejpam-1172	368	4	shanghai	shanghai	PROPN
ejpam-1172	368	5	jiao	jiao	PROPN
ejpam-1172	368	6	tong	tong	PROPN
ejpam-1172	368	7	university	university	PROPN
ejpam-1172	368	8	,	,	PUNCT
ejpam-1172	368	9	1992	1992	NUM
ejpam-1172	368	10	.	.	PUNCT
ejpam-1172	369	1	[	[	X
ejpam-1172	369	2	35	35	NUM
ejpam-1172	369	3	]	]	SYM
ejpam-1172	369	4	s.momani	s.momani	NOUN
ejpam-1172	369	5	and	and	CCONJ
ejpam-1172	369	6	z.odibat	z.odibat	NOUN
ejpam-1172	369	7	.	.	PUNCT
ejpam-1172	370	1	analytical	analytical	ADJ
ejpam-1172	370	2	solution	solution	NOUN
ejpam-1172	370	3	of	of	ADP
ejpam-1172	370	4	a	a	DET
ejpam-1172	370	5	time	time	NOUN
ejpam-1172	370	6	-	-	PUNCT
ejpam-1172	370	7	fractional	fractional	ADJ
ejpam-1172	370	8	navier	navier	NOUN
ejpam-1172	370	9	-	-	PUNCT
ejpam-1172	370	10	stokes	stoke	NOUN
ejpam-1172	370	11	equation	equation	NOUN
ejpam-1172	370	12	by	by	ADP
ejpam-1172	370	13	adomian	adomian	NOUN
ejpam-1172	370	14	decomposition	decomposition	NOUN
ejpam-1172	370	15	method	method	NOUN
ejpam-1172	370	16	.	.	PUNCT
ejpam-1172	371	1	appl	appl	PROPN
ejpam-1172	371	2	.	.	PROPN
ejpam-1172	371	3	math	math	PROPN
ejpam-1172	371	4	.	.	PUNCT
ejpam-1172	372	1	comput	comput	NOUN
ejpam-1172	372	2	.	.	PUNCT
ejpam-1172	372	3	,	,	PUNCT
ejpam-1172	372	4	177(2):488–494	177(2):488–494	NUM
ejpam-1172	372	5	,	,	PUNCT
ejpam-1172	372	6	2006	2006	NUM
ejpam-1172	372	7	.	.	PUNCT
ejpam-1172	373	1	[	[	X
ejpam-1172	373	2	36	36	NUM
ejpam-1172	373	3	]	]	SYM
ejpam-1172	373	4	s.momani	s.momani	NOUN
ejpam-1172	373	5	and	and	CCONJ
ejpam-1172	373	6	z.odibat	z.odibat	NOUN
ejpam-1172	373	7	.	.	PUNCT
ejpam-1172	374	1	numerical	numerical	PROPN
ejpam-1172	374	2	comparison	comparison	NOUN
ejpam-1172	374	3	of	of	ADP
ejpam-1172	374	4	methods	method	NOUN
ejpam-1172	374	5	for	for	ADP
ejpam-1172	374	6	solving	solve	VERB
ejpam-1172	374	7	linear	linear	PROPN
ejpam-1172	374	8	differential	differential	ADJ
ejpam-1172	374	9	equations	equation	NOUN
ejpam-1172	374	10	of	of	ADP
ejpam-1172	374	11	fractional	fractional	ADJ
ejpam-1172	374	12	order	order	NOUN
ejpam-1172	374	13	.	.	PUNCT
ejpam-1172	375	1	chaos	chaos	NOUN
ejpam-1172	375	2	solitons	soliton	NOUN
ejpam-1172	375	3	fractals	fractal	NOUN
ejpam-1172	375	4	,	,	PUNCT
ejpam-1172	375	5	31:1248–1255	31:1248–1255	NUM
ejpam-1172	375	6	,	,	PUNCT
ejpam-1172	375	7	2007	2007	NUM
ejpam-1172	375	8	.	.	PUNCT
ejpam-1172	376	1	[	[	X
ejpam-1172	376	2	37	37	NUM
ejpam-1172	376	3	]	]	PUNCT
ejpam-1172	376	4	o.abdulaziz	o.abdulaziz	PROPN
ejpam-1172	376	5	s.momani	s.momani	PROPN
ejpam-1172	376	6	and	and	CCONJ
ejpam-1172	376	7	i.hashim	i.hashim	PRON
ejpam-1172	376	8	.	.	PUNCT
ejpam-1172	377	1	homotopy	homotopy	VERB
ejpam-1172	377	2	analysis	analysis	NOUN
ejpam-1172	377	3	method	method	NOUN
ejpam-1172	377	4	for	for	ADP
ejpam-1172	377	5	fractional	fractional	ADJ
ejpam-1172	377	6	ivps	ivps	PROPN
ejpam-1172	377	7	.	.	PUNCT
ejpam-1172	378	1	commun	commun	PROPN
ejpam-1172	378	2	.	.	PUNCT
ejpam-1172	379	1	nonlin	nonlin	PROPN
ejpam-1172	379	2	.	.	PUNCT
ejpam-1172	380	1	sci	sci	PROPN
ejpam-1172	380	2	.	.	PUNCT
ejpam-1172	380	3	numer	numer	PROPN
ejpam-1172	380	4	.	.	PUNCT
ejpam-1172	381	1	simul	simul	PROPN
ejpam-1172	381	2	.	.	PROPN
ejpam-1172	381	3	,	,	PUNCT
ejpam-1172	381	4	14(3):674–684	14(3):674–684	NUM
ejpam-1172	381	5	,	,	PUNCT
ejpam-1172	381	6	2009	2009	NUM
ejpam-1172	381	7	.	.	PUNCT
ejpam-1172	382	1	[	[	X
ejpam-1172	382	2	38	38	NUM
ejpam-1172	382	3	]	]	PUNCT
ejpam-1172	382	4	s.s.ray	s.s.ray	PROPN
ejpam-1172	382	5	and	and	CCONJ
ejpam-1172	382	6	r.k.bera	r.k.bera	NOUN
ejpam-1172	382	7	.	.	PUNCT
ejpam-1172	383	1	an	an	DET
ejpam-1172	383	2	approximate	approximate	ADJ
ejpam-1172	383	3	solution	solution	NOUN
ejpam-1172	383	4	of	of	ADP
ejpam-1172	383	5	a	a	DET
ejpam-1172	383	6	nonlinear	nonlinear	ADJ
ejpam-1172	383	7	fractional	fractional	ADJ
ejpam-1172	383	8	differential	differential	NOUN
ejpam-1172	383	9	equation	equation	NOUN
ejpam-1172	383	10	by	by	ADP
ejpam-1172	383	11	adomian	adomian	NOUN
ejpam-1172	383	12	decomposition	decomposition	NOUN
ejpam-1172	383	13	method	method	NOUN
ejpam-1172	383	14	.	.	PUNCT
ejpam-1172	384	1	appl.math	appl.math	NOUN
ejpam-1172	384	2	comput	comput	NOUN
ejpam-1172	384	3	.	.	PUNCT
ejpam-1172	384	4	,	,	PUNCT
ejpam-1172	384	5	167:561–571	167:561–571	NUM
ejpam-1172	384	6	,	,	PUNCT
ejpam-1172	384	7	2005	2005	NUM
ejpam-1172	384	8	.	.	PUNCT
ejpam-1172	385	1	[	[	X
ejpam-1172	385	2	39	39	NUM
ejpam-1172	385	3	]	]	PUNCT
ejpam-1172	385	4	u.m.ascher	u.m.ascher	NOUN
ejpam-1172	385	5	and	and	CCONJ
ejpam-1172	385	6	l.r.petzold	l.r.petzold	ADJ
ejpam-1172	385	7	.	.	PUNCT
ejpam-1172	386	1	projected	project	VERB
ejpam-1172	386	2	implicit	implicit	ADJ
ejpam-1172	386	3	runge	runge	NOUN
ejpam-1172	386	4	kutta	kutta	NOUN
ejpam-1172	386	5	methods	method	NOUN
ejpam-1172	386	6	for	for	ADP
ejpam-1172	386	7	differential	differential	ADJ
ejpam-1172	386	8	algebraic	algebraic	ADJ
ejpam-1172	386	9	equations	equation	NOUN
ejpam-1172	386	10	.	.	PUNCT
ejpam-1172	387	1	siam	siam	PROPN
ejpam-1172	387	2	j.	j.	PROPN
ejpam-1172	387	3	numer	numer	PROPN
ejpam-1172	387	4	.	.	PUNCT
ejpam-1172	388	1	anal	anal	PROPN
ejpam-1172	388	2	.	.	PROPN
ejpam-1172	388	3	,	,	PUNCT
ejpam-1172	388	4	28:1097–1120	28:1097–1120	NUM
ejpam-1172	388	5	,	,	PUNCT
ejpam-1172	388	6	1991	1991	NUM
ejpam-1172	388	7	.	.	PUNCT
ejpam-1172	389	1	[	[	X
ejpam-1172	389	2	40	40	NUM
ejpam-1172	389	3	]	]	X
ejpam-1172	389	4	l.shi	l.shi	PROPN
ejpam-1172	389	5	-	-	PUNCT
ejpam-1172	389	6	jun	jun	PROPN
ejpam-1172	389	7	x.hang	x.hang	PROPN
ejpam-1172	389	8	and	and	CCONJ
ejpam-1172	389	9	y.xiang	y.xiang	PROPN
ejpam-1172	389	10	-	-	PUNCT
ejpam-1172	389	11	cheng	cheng	PROPN
ejpam-1172	389	12	.	.	PUNCT
ejpam-1172	390	1	analysis	analysis	NOUN
ejpam-1172	390	2	of	of	ADP
ejpam-1172	390	3	nonlinear	nonlinear	ADJ
ejpam-1172	390	4	fractional	fractional	ADJ
ejpam-1172	390	5	partial	partial	ADJ
ejpam-1172	390	6	differential	differential	NOUN
ejpam-1172	390	7	equations	equation	NOUN
ejpam-1172	390	8	with	with	ADP
ejpam-1172	390	9	the	the	DET
ejpam-1172	390	10	homotopy	homotopy	NOUN
ejpam-1172	390	11	analysis	analysis	NOUN
ejpam-1172	390	12	method	method	NOUN
ejpam-1172	390	13	.	.	PUNCT
ejpam-1172	391	1	commun	commun	PROPN
ejpam-1172	391	2	.	.	PUNCT
ejpam-1172	392	1	nonlin	nonlin	PROPN
ejpam-1172	392	2	.	.	PUNCT
ejpam-1172	393	1	sci	sci	PROPN
ejpam-1172	393	2	.	.	PUNCT
ejpam-1172	393	3	numer	numer	PROPN
ejpam-1172	393	4	.	.	PUNCT
ejpam-1172	394	1	simul	simul	PROPN
ejpam-1172	394	2	.	.	PROPN
ejpam-1172	394	3	,	,	PUNCT
ejpam-1172	395	1	14(4):1152–1156	14(4):1152–1156	NUM
ejpam-1172	395	2	,	,	PUNCT
ejpam-1172	395	3	2009	2009	NUM
ejpam-1172	395	4	.	.	PUNCT
ejpam-1172	396	1	[	[	X
ejpam-1172	396	2	41	41	NUM
ejpam-1172	396	3	]	]	PUNCT
ejpam-1172	396	4	y.luchko	y.luchko	NUM
ejpam-1172	396	5	and	and	CCONJ
ejpam-1172	396	6	r.gorneflo	r.gorneflo	NOUN
ejpam-1172	396	7	.	.	PUNCT
ejpam-1172	397	1	the	the	DET
ejpam-1172	397	2	initial	initial	ADJ
ejpam-1172	397	3	value	value	NOUN
ejpam-1172	397	4	problem	problem	NOUN
ejpam-1172	397	5	for	for	ADP
ejpam-1172	397	6	some	some	DET
ejpam-1172	397	7	fractional	fractional	ADJ
ejpam-1172	397	8	differential	differential	ADJ
ejpam-1172	397	9	equations	equation	NOUN
ejpam-1172	397	10	with	with	ADP
ejpam-1172	397	11	the	the	DET
ejpam-1172	397	12	caputo	caputo	PROPN
ejpam-1172	397	13	derivative	derivative	NOUN
ejpam-1172	397	14	.	.	PUNCT
ejpam-1172	398	1	preprint	preprint	NOUN
ejpam-1172	398	2	series	series	PROPN
ejpam-1172	398	3	a08	a08	PROPN
ejpam-1172	398	4	-	-	PUNCT
ejpam-1172	398	5	98	98	NUM
ejpam-1172	398	6	,	,	PUNCT
ejpam-1172	398	7	fachbereich	fachbereich	PROPN
ejpam-1172	398	8	mathematik	mathematik	PROPN
ejpam-1172	398	9	und	und	PROPN
ejpam-1172	398	10	informatik	informatik	PROPN
ejpam-1172	398	11	,	,	PUNCT
ejpam-1172	398	12	freie	freie	PROPN
ejpam-1172	398	13	universitat	universitat	PROPN
ejpam-1172	398	14	,	,	PUNCT
ejpam-1172	398	15	berlin	berlin	PROPN
ejpam-1172	398	16	,	,	PUNCT
ejpam-1172	398	17	1998	1998	NUM
ejpam-1172	398	18	.	.	PUNCT
ejpam-1172	399	1	[	[	X
ejpam-1172	399	2	42	42	NUM
ejpam-1172	399	3	]	]	PUNCT
ejpam-1172	399	4	z.odibat	z.odibat	NOUN
ejpam-1172	399	5	and	and	CCONJ
ejpam-1172	399	6	s.momani	s.momani	NOUN
ejpam-1172	399	7	.	.	PUNCT
ejpam-1172	399	8	application	application	NOUN
ejpam-1172	399	9	of	of	ADP
ejpam-1172	399	10	variational	variational	ADJ
ejpam-1172	399	11	iteration	iteration	NOUN
ejpam-1172	399	12	method	method	NOUN
ejpam-1172	399	13	to	to	ADP
ejpam-1172	399	14	nonlinear	nonlinear	ADJ
ejpam-1172	399	15	differential	differential	ADJ
ejpam-1172	399	16	equation	equation	NOUN
ejpam-1172	399	17	of	of	ADP
ejpam-1172	399	18	fractional	fractional	ADJ
ejpam-1172	399	19	order	order	NOUN
ejpam-1172	399	20	.	.	PUNCT
ejpam-1172	400	1	int.j.non.sci.num.simul	int.j.non.sci.num.simul	PROPN
ejpam-1172	400	2	.	.	PROPN
ejpam-1172	400	3	,	,	PUNCT
ejpam-1172	400	4	1(7):15–27	1(7):15–27	NUM
ejpam-1172	400	5	,	,	PUNCT
ejpam-1172	400	6	2006	2006	NUM
ejpam-1172	400	7	.	.	PUNCT