id	sid	eid	entity	type
ejpam-5537	1	1	european journal	ORG
ejpam-5537	2	1	17	CARDINAL
ejpam-5537	2	2	4	CARDINAL
ejpam-5537	2	3	2024	DATE
ejpam-5537	2	4	4003	CARDINAL
ejpam-5537	2	5	new york	GPE
ejpam-5537	2	6	ait brahim2	ORG
ejpam-5537	2	7	abdelmajid el hajaji3	PERSON
ejpam-5537	2	8	khalid hilal2	PERSON
ejpam-5537	2	9	charhabil4	ORG
ejpam-5537	2	10	1	CARDINAL
ejpam-5537	2	11	al-balqa applied university	ORG
ejpam-5537	2	12	jordan 2	PERSON
ejpam-5537	2	13	university of sciences and technology	ORG
ejpam-5537	2	14	morocco	GPE
ejpam-5537	2	15	3	CARDINAL
ejpam-5537	2	16	oee	PRODUCT
ejpam-5537	2	17	encgj	PERSON
ejpam-5537	2	18	el jadida	GPE
ejpam-5537	2	19	morocco	GPE
ejpam-5537	2	20	4	CARDINAL
ejpam-5537	2	21	university sorbonne	ORG
ejpam-5537	2	22	paris nord	GPE
ejpam-5537	2	23	france	GPE
ejpam-5537	5	1	two	CARDINAL
ejpam-5537	5	2	0 ≤ α <	QUANTITY
ejpam-5537	6	1	1	CARDINAL
ejpam-5537	6	2	first	ORDINAL
ejpam-5537	10	1	2020	DATE
ejpam-5537	10	2	26a33	CARDINAL
ejpam-5537	10	3	65l05	CARDINAL
ejpam-5537	10	4	45d05	CARDINAL
ejpam-5537	10	5	1	CARDINAL
ejpam-5537	12	1	the late 17th century	DATE
ejpam-5537	12	2	september 30, 1695	DATE
ejpam-5537	12	3	leibniz	PERSON
ejpam-5537	12	4	1 2	CARDINAL
ejpam-5537	14	1	fractional ∗corresponding	ORG
ejpam-5537	15	1	dr.eman.abuteen@bau.edu.jo	PERSON
ejpam-5537	15	2	e. abuteen	PERSON
ejpam-5537	15	3	a. a. brahim	PERSON
ejpam-5537	15	4	a. el hajaji	PERSON
ejpam-5537	15	5	k. hilal	PERSON
ejpam-5537	15	6	a. charhabil	PERSON
ejpam-5537	15	7	4003	CARDINAL
ejpam-5537	16	1	2024	CARDINAL
ejpam-5537	17	1	e. abuteen	PERSON
ejpam-5537	18	1	j. pure	PERSON
ejpam-5537	18	2	17	CARDINAL
ejpam-5537	18	3	4	CARDINAL
ejpam-5537	18	4	2024	CARDINAL
ejpam-5537	18	5	4003-4013 4004	DATE
ejpam-5537	18	6	2–6	CARDINAL
ejpam-5537	21	1	lyapunov	PERSON
ejpam-5537	21	2	second	ORDINAL
ejpam-5537	25	1	1	CARDINAL
ejpam-5537	25	2	riemann-liouville	ORG
ejpam-5537	26	1	1	CARDINAL
ejpam-5537	26	2	1 γ(n− α	QUANTITY
ejpam-5537	26	3	dn dtn ∫ t	PERSON
ejpam-5537	26	4	2	CARDINAL
ejpam-5537	28	1	1	CARDINAL
ejpam-5537	28	2	f)(t	GPE
ejpam-5537	28	3	1 γ(n− α	QUANTITY
ejpam-5537	28	4	n)(x	ORG
ejpam-5537	28	5	3	CARDINAL
ejpam-5537	28	6	caputo-fabrizio	PERSON
ejpam-5537	28	7	0	CARDINAL
ejpam-5537	28	8	1	DATE
ejpam-5537	28	9	f)(t	GPE
ejpam-5537	28	10	1−	LANGUAGE
ejpam-5537	30	1	m(α	PERSON
ejpam-5537	30	2	1	CARDINAL
ejpam-5537	30	3	4	CARDINAL
ejpam-5537	30	4	0	CARDINAL
ejpam-5537	30	5	1	CARDINAL
ejpam-5537	30	6	f)(t	GPE
ejpam-5537	30	7	1−	LANGUAGE
ejpam-5537	32	1	m(α	PERSON
ejpam-5537	34	1	13	CARDINAL
ejpam-5537	36	1	e. abuteen	PERSON
ejpam-5537	37	1	j. pure	PERSON
ejpam-5537	37	2	17	CARDINAL
ejpam-5537	37	3	4	CARDINAL
ejpam-5537	37	4	2024	CARDINAL
ejpam-5537	37	5	4003-4013	DATE
ejpam-5537	39	1	1	CARDINAL
ejpam-5537	41	1	n=0	DATE
ejpam-5537	41	2	1	CARDINAL
ejpam-5537	41	3	1	CARDINAL
ejpam-5537	42	1	first	ORDINAL
ejpam-5537	42	2	two	CARDINAL
ejpam-5537	43	1	1	CARDINAL
ejpam-5537	44	1	1	CARDINAL
ejpam-5537	46	1	2	CARDINAL
ejpam-5537	47	1	first	ORDINAL
ejpam-5537	47	2	two	CARDINAL
ejpam-5537	48	1	2	CARDINAL
ejpam-5537	49	1	0,∞	TIME
ejpam-5537	49	2	r.	NORP
ejpam-5537	50	1	3	CARDINAL
ejpam-5537	51	1	0	CARDINAL
ejpam-5537	51	2	1	CARDINAL
ejpam-5537	53	1	0	CARDINAL
ejpam-5537	53	2	lim	PERSON
ejpam-5537	53	3	α)(t	CARDINAL
ejpam-5537	53	4	4	CARDINAL
ejpam-5537	53	5	zero	CARDINAL
ejpam-5537	53	6	+ f	GPE
ejpam-5537	53	7	α)(t	CARDINAL
ejpam-5537	54	1	5	CARDINAL
ejpam-5537	54	2	1	CARDINAL
ejpam-5537	55	1	6	CARDINAL
ejpam-5537	55	2	0	CARDINAL
ejpam-5537	56	1	1	CARDINAL
ejpam-5537	57	1	dα(af + bg	PERSON
ejpam-5537	59	1	5	CARDINAL
ejpam-5537	59	2	= gdα(f)−fdα(g	PERSON
ejpam-5537	60	1	e. abuteen	PERSON
ejpam-5537	61	1	j. pure	PERSON
ejpam-5537	61	2	17	CARDINAL
ejpam-5537	61	3	4	CARDINAL
ejpam-5537	61	4	2024	CARDINAL
ejpam-5537	61	5	4003	CARDINAL
ejpam-5537	61	6	1	CARDINAL
ejpam-5537	62	1	6	CARDINAL
ejpam-5537	62	2	0	CARDINAL
ejpam-5537	64	1	6	CARDINAL
ejpam-5537	64	2	1	CARDINAL
ejpam-5537	64	3	2.0.1	CARDINAL
ejpam-5537	65	1	3	CARDINAL
ejpam-5537	66	1	f)(t	GPE
ejpam-5537	67	1	1	CARDINAL
ejpam-5537	67	2	7	CARDINAL
ejpam-5537	67	3	0	CARDINAL
ejpam-5537	67	4	1	CARDINAL
ejpam-5537	68	1	one	CARDINAL
ejpam-5537	68	2	2	CARDINAL
ejpam-5537	69	1	iα(f	ORG
ejpam-5537	71	1	1	CARDINAL
ejpam-5537	72	1	3	CARDINAL
ejpam-5537	73	1	6	CARDINAL
ejpam-5537	73	2	0	CARDINAL
ejpam-5537	73	3	1	CARDINAL
ejpam-5537	73	4	1	CARDINAL
ejpam-5537	74	1	1. 2	CARDINAL
ejpam-5537	74	2	1	CARDINAL
ejpam-5537	76	1	3	CARDINAL
ejpam-5537	78	1	4	CARDINAL
ejpam-5537	80	1	3	CARDINAL
ejpam-5537	80	2	3.1	CARDINAL
ejpam-5537	82	1	approximately 9.8m	CARDINAL
ejpam-5537	83	1	newton	ORG
ejpam-5537	83	2	e. abuteen	PERSON
ejpam-5537	84	1	j. pure	PERSON
ejpam-5537	84	2	17	CARDINAL
ejpam-5537	84	3	4	CARDINAL
ejpam-5537	84	4	2024	CARDINAL
ejpam-5537	84	5	4003	CARDINAL
ejpam-5537	85	1	0	CARDINAL
ejpam-5537	87	1	z(t	ORG
ejpam-5537	90	1	9	CARDINAL
ejpam-5537	90	2	newton	ORG
ejpam-5537	91	1	= a.	PERSON
ejpam-5537	91	2	10	CARDINAL
ejpam-5537	91	3	= a.	PERSON
ejpam-5537	91	4	11	CARDINAL
ejpam-5537	91	5	6	CARDINAL
ejpam-5537	92	1	12	CARDINAL
ejpam-5537	92	2	w(t	PERSON
ejpam-5537	94	1	13	CARDINAL
ejpam-5537	94	2	zero	CARDINAL
ejpam-5537	97	1	14	CARDINAL
ejpam-5537	97	2	z(t	ORG
ejpam-5537	97	3	z(t	PERSON
ejpam-5537	99	1	1)t(α+1)t +m.	DATE
ejpam-5537	99	2	15	CARDINAL
ejpam-5537	100	1	z(t	PERSON
ejpam-5537	102	1	16	CARDINAL
ejpam-5537	102	2	e. abuteen	PERSON
ejpam-5537	103	1	j. pure	PERSON
ejpam-5537	103	2	17	CARDINAL
ejpam-5537	103	3	4	CARDINAL
ejpam-5537	103	4	2024	CARDINAL
ejpam-5537	103	5	4003	CARDINAL
ejpam-5537	103	6	1	CARDINAL
ejpam-5537	104	1	0.2	CARDINAL
ejpam-5537	104	2	0.5	CARDINAL
ejpam-5537	104	3	0.9	CARDINAL
ejpam-5537	104	4	3	CARDINAL
ejpam-5537	104	5	4	CARDINAL
ejpam-5537	106	1	3.2	CARDINAL
ejpam-5537	107	1	two	CARDINAL
ejpam-5537	107	2	e∗	ORG
ejpam-5537	107	3	e∗	ORG
ejpam-5537	108	1	x⊗	DATE
ejpam-5537	110	1	12	CARDINAL
ejpam-5537	110	2	two	CARDINAL
ejpam-5537	110	3	first	ORDINAL
ejpam-5537	110	4	second	ORDINAL
ejpam-5537	111	1	12	CARDINAL
ejpam-5537	113	1	17	CARDINAL
ejpam-5537	115	1	e. abuteen	PERSON
ejpam-5537	116	1	j. pure	PERSON
ejpam-5537	116	2	17	CARDINAL
ejpam-5537	116	3	4	CARDINAL
ejpam-5537	116	4	2024	CARDINAL
ejpam-5537	116	5	4003-4013 4009	DATE
ejpam-5537	116	6	w(x)h(t	ORG
ejpam-5537	119	1	1	CARDINAL
ejpam-5537	119	2	17	CARDINAL
ejpam-5537	119	3	v(0	PERSON
ejpam-5537	120	1	x(0	GPE
ejpam-5537	120	2	0	DATE
ejpam-5537	120	3	1	CARDINAL
ejpam-5537	120	4	v(x	PERSON
ejpam-5537	120	5	w(x)h(t	ORG
ejpam-5537	121	1	17	CARDINAL
ejpam-5537	121	2	w(x)h2αx(t	PERSON
ejpam-5537	122	1	18	CARDINAL
ejpam-5537	122	2	w2β	GPE
ejpam-5537	123	1	19	CARDINAL
ejpam-5537	123	2	1	CARDINAL
ejpam-5537	123	3	1	CARDINAL
ejpam-5537	123	4	1	CARDINAL
ejpam-5537	123	5	17	CARDINAL
ejpam-5537	123	6	two	CARDINAL
ejpam-5537	123	7	two	CARDINAL
ejpam-5537	124	1	h2αx(t	PERSON
ejpam-5537	125	1	1	CARDINAL
ejpam-5537	126	1	20	CARDINAL
ejpam-5537	126	2	19	CARDINAL
ejpam-5537	127	1	⊗	PERSON
ejpam-5537	128	1	21	CARDINAL
ejpam-5537	128	2	w2β −	PERSON
ejpam-5537	129	1	+ w	GPE
ejpam-5537	129	2	0	CARDINAL
ejpam-5537	130	1	22	CARDINAL
ejpam-5537	130	2	6	CARDINAL
ejpam-5537	130	3	1 2	CARDINAL
ejpam-5537	130	4	1 2	DATE
ejpam-5537	131	1	23	CARDINAL
ejpam-5537	131	2	wβ(0	PERSON
ejpam-5537	131	3	1	CARDINAL
ejpam-5537	132	1	2√	CARDINAL
ejpam-5537	132	2	3	CARDINAL
ejpam-5537	133	1	24	CARDINAL
ejpam-5537	133	2	20	CARDINAL
ejpam-5537	133	3	24	CARDINAL
ejpam-5537	134	1	2√	CARDINAL
ejpam-5537	134	2	3	CARDINAL
ejpam-5537	136	1	25	CARDINAL
ejpam-5537	136	2	19	CARDINAL
ejpam-5537	137	1	e. abuteen	PERSON
ejpam-5537	138	1	j. pure	PERSON
ejpam-5537	138	2	17	CARDINAL
ejpam-5537	138	3	4	CARDINAL
ejpam-5537	138	4	2024	CARDINAL
ejpam-5537	138	5	4003-4013 4010	QUANTITY
ejpam-5537	138	6	2	CARDINAL
ejpam-5537	138	7	25	CARDINAL
ejpam-5537	139	1	e. abuteen	PERSON
ejpam-5537	140	1	j. pure	PERSON
ejpam-5537	140	2	17	CARDINAL
ejpam-5537	140	3	4	CARDINAL
ejpam-5537	140	4	2024	CARDINAL
ejpam-5537	140	5	4003	CARDINAL
ejpam-5537	140	6	4013 4011	CARDINAL
ejpam-5537	140	7	3	CARDINAL
ejpam-5537	140	8	25	CARDINAL
ejpam-5537	140	9	4012	CARDINAL
ejpam-5537	140	10	4	CARDINAL
ejpam-5537	140	11	25	CARDINAL
ejpam-5537	141	1	4	CARDINAL
ejpam-5537	149	1	1	CARDINAL
ejpam-5537	149	2	d. baleanu	PERSON
ejpam-5537	151	1	journal of nonlinear sciences	ORG
ejpam-5537	151	2	10(3	CARDINAL
ejpam-5537	151	3	2017	DATE
ejpam-5537	152	1	2	CARDINAL
ejpam-5537	152	2	h. k. jassim	PERSON
ejpam-5537	154	1	3(30):1–8	DATE
ejpam-5537	154	2	2019	DATE
ejpam-5537	155	1	3	CARDINAL
ejpam-5537	155	2	j. el ghordaf	PERSON
ejpam-5537	155	3	a. el hajaji	PERSON
ejpam-5537	155	4	k. hilal	PERSON
ejpam-5537	155	5	j. e. nápoles valdes	PERSON
ejpam-5537	156	1	riemann-liouville	ORG
ejpam-5537	156	2	4013	CARDINAL
ejpam-5537	157	1	european journal	ORG
ejpam-5537	157	2	july 2024	DATE
ejpam-5537	158	1	4] a. ait brahim	ORG
ejpam-5537	158	2	a. el hajaji	PERSON
ejpam-5537	158	3	k. hilal	PERSON
ejpam-5537	158	4	j. el ghordaf	PERSON
ejpam-5537	160	1	european journal	ORG
ejpam-5537	160	2	april 2024	DATE
ejpam-5537	161	1	5	CARDINAL
ejpam-5537	161	2	p. cui	PERSON
ejpam-5537	161	3	h. k. jassim	PERSON
ejpam-5537	163	1	32(4):1–6	DATE
ejpam-5537	163	2	2024	DATE
ejpam-5537	164	1	6	CARDINAL
ejpam-5537	164	2	reza danaei	PERSON
ejpam-5537	166	1	2024	DATE
ejpam-5537	167	1	7	CARDINAL
ejpam-5537	167	2	w. deeb	PERSON
ejpam-5537	167	3	r. khalil	PERSON
ejpam-5537	168	1	l(x	PERSON
ejpam-5537	169	1	the cambridge philosophical society	ORG
ejpam-5537	169	2	104(3):527–531, 1988	DATE
ejpam-5537	170	1	8	CARDINAL
ejpam-5537	170	2	h. jafari	PERSON
ejpam-5537	170	3	h. k. jassim	PERSON
ejpam-5537	170	4	a. ansari	PERSON
ejpam-5537	170	5	v. t. nguyen	PERSON
ejpam-5537	171	1	two	CARDINAL
ejpam-5537	172	1	32(4):1–6	DATE
ejpam-5537	172	2	2024	DATE
ejpam-5537	173	1	9	CARDINAL
ejpam-5537	173	2	h. jafari	PERSON
ejpam-5537	173	3	h. k. jassim	PERSON
ejpam-5537	173	4	a. ansari	PERSON
ejpam-5537	173	5	v. t. nguyen	PERSON
ejpam-5537	175	1	32(4):1–8	DATE
ejpam-5537	175	2	2024	DATE
ejpam-5537	176	1	10	CARDINAL
ejpam-5537	176	2	h. jafari	PERSON
ejpam-5537	176	3	h. k. jassim	PERSON
ejpam-5537	176	4	d.	NORP
ejpam-5537	178	1	18:1–9	CARDINAL
ejpam-5537	178	2	2016	DATE
ejpam-5537	179	1	11	CARDINAL
ejpam-5537	179	2	h. jafari	PERSON
ejpam-5537	179	3	m. y. zayir	PERSON
ejpam-5537	179	4	h. k. jassim	PERSON
ejpam-5537	181	1	52(3):2859–2877	CARDINAL
ejpam-5537	181	2	2023	CARDINAL
ejpam-5537	182	1	12	CARDINAL
ejpam-5537	182	2	roshdi khalil	PERSON
ejpam-5537	184	1	tamkangjournalofmathematics	ORG
ejpam-5537	184	2	16	CARDINAL
ejpam-5537	184	3	77	CARDINAL
ejpam-5537	184	4	1985	DATE
ejpam-5537	185	1	13	CARDINAL
ejpam-5537	185	2	k. m. owolabi	PERSON
ejpam-5537	185	3	a. atangana	PERSON
ejpam-5537	186	1	54	CARDINAL
ejpam-5537	187	1	singapore	GPE
ejpam-5537	187	2	2019	DATE