id	sid	eid	entity	type
ejpam-5237	1	1	european journal	ORG
ejpam-5237	2	1	17	CARDINAL
ejpam-5237	2	2	3	CARDINAL
ejpam-5237	2	3	2024	DATE
ejpam-5237	2	4	1842-1854	DATE
ejpam-5237	2	5	new york	GPE
ejpam-5237	3	1	riemann-liouville	ORG
ejpam-5237	3	2	caputo fractional derivatives a. ait brahim1,∗	ORG
ejpam-5237	3	3	j. el ghordaf1	ORG
ejpam-5237	3	4	a. el hajaji2	PERSON
ejpam-5237	3	5	k. hilal1	PERSON
ejpam-5237	3	6	j. e.nápoles valdes3	GPE
ejpam-5237	3	7	university of sciences and technology	ORG
ejpam-5237	3	8	morocco	GPE
ejpam-5237	3	9	2	CARDINAL
ejpam-5237	3	10	oee	PRODUCT
ejpam-5237	3	11	encgj	PERSON
ejpam-5237	3	12	el jadida	GPE
ejpam-5237	3	13	morocco	GPE
ejpam-5237	3	14	3	CARDINAL
ejpam-5237	3	15	facena laboratory universidad nacional del nordeste	ORG
ejpam-5237	3	16	3400	CARDINAL
ejpam-5237	3	17	argentina	GPE
ejpam-5237	4	1	riemann-liouville	ORG
ejpam-5237	6	1	riemann-liouville	PERSON
ejpam-5237	6	2	1/2	CARDINAL
ejpam-5237	6	3	1.	CARDINAL
ejpam-5237	6	4	2020	DATE
ejpam-5237	6	5	26a33	CARDINAL
ejpam-5237	6	6	34a08	DATE
ejpam-5237	6	7	65r20	DATE
ejpam-5237	6	8	35r11	CARDINAL
ejpam-5237	6	9	riemann-liouville	ORG
ejpam-5237	6	10	1	CARDINAL
ejpam-5237	8	1	1–3	CARDINAL
ejpam-5237	8	2	5	CARDINAL
ejpam-5237	9	1	recent years	DATE
ejpam-5237	12	1	a. el hajaji	PERSON
ejpam-5237	12	2	k. hilal	PERSON
ejpam-5237	12	3	elg jalila@yahou.fr	PERSON
ejpam-5237	12	4	j. el ghordaf	PERSON
ejpam-5237	12	5	1842	DATE
ejpam-5237	13	1	2024	CARDINAL
ejpam-5237	14	1	a. ait brahim	PERSON
ejpam-5237	15	1	j. pure	PERSON
ejpam-5237	15	2	17	CARDINAL
ejpam-5237	15	3	3	CARDINAL
ejpam-5237	15	4	2024	CARDINAL
ejpam-5237	15	5	1842-1854	DATE
ejpam-5237	15	6	1843	DATE
ejpam-5237	21	1	the late 1950s	DATE
ejpam-5237	21	2	early 1960s	DATE
ejpam-5237	22	1	five decades	DATE
ejpam-5237	23	1	2014	DATE
ejpam-5237	23	2	first	ORDINAL
ejpam-5237	25	1	r. khalil et al	PERSON
ejpam-5237	26	1	9	CARDINAL
ejpam-5237	26	2	1	CARDINAL
ejpam-5237	27	1	0	CARDINAL
ejpam-5237	28	1	1	CARDINAL
ejpam-5237	30	1	r. khalil et al	PERSON
ejpam-5237	30	2	t. abdeljawad	PERSON
ejpam-5237	31	1	3	CARDINAL
ejpam-5237	32	1	a. abdelhakim	PERSON
ejpam-5237	33	1	1	CARDINAL
ejpam-5237	33	2	2019	DATE
ejpam-5237	33	3	r. khalil et al	PERSON
ejpam-5237	33	4	t. abdeljawad	PERSON
ejpam-5237	35	1	d. r. anderson	PERSON
ejpam-5237	35	2	d. j. ulness	PERSON
ejpam-5237	35	3	2015	DATE
ejpam-5237	35	4	4	CARDINAL
ejpam-5237	37	1	r. khalil et al	PERSON
ejpam-5237	38	1	9	CARDINAL
ejpam-5237	39	1	4	CARDINAL
ejpam-5237	39	2	4	CARDINAL
ejpam-5237	40	1	khalil et al	PERSON
ejpam-5237	40	2	riemann-liouville	ORG
ejpam-5237	41	1	ait brahim	ORG
ejpam-5237	42	1	j. pure	PERSON
ejpam-5237	42	2	17	CARDINAL
ejpam-5237	42	3	3	CARDINAL
ejpam-5237	42	4	2024	CARDINAL
ejpam-5237	42	5	1842-1854 1844	DATE
ejpam-5237	44	1	abdeljawad	PERSON
ejpam-5237	44	2	2015	DATE
ejpam-5237	45	1	caputo	PERSON
ejpam-5237	46	1	two	CARDINAL
ejpam-5237	47	1	1	CARDINAL
ejpam-5237	47	2	•	CARDINAL
ejpam-5237	47	3	1 γ(n− α	QUANTITY
ejpam-5237	47	4	dn dtn ∫ t	PERSON
ejpam-5237	48	1	2	CARDINAL
ejpam-5237	48	2	caputo	PERSON
ejpam-5237	49	1	1	CARDINAL
ejpam-5237	49	2	1 γ(n− α	QUANTITY
ejpam-5237	50	1	3	CARDINAL
ejpam-5237	50	2	9	CARDINAL
ejpam-5237	50	3	r. khalil et al	PERSON
ejpam-5237	51	1	riemann-liouville	ORG
ejpam-5237	52	1	11	CARDINAL
ejpam-5237	53	1	0	CARDINAL
ejpam-5237	53	2	11	CARDINAL
ejpam-5237	54	1	16	CARDINAL
ejpam-5237	54	2	17	CARDINAL
ejpam-5237	55	1	6	CARDINAL
ejpam-5237	55	2	10	DATE
ejpam-5237	55	3	13	CARDINAL
ejpam-5237	56	1	14	CARDINAL
ejpam-5237	57	1	riemann-liouville	ORG
ejpam-5237	57	2	1	CARDINAL
ejpam-5237	57	3	three	CARDINAL
ejpam-5237	58	1	2	CARDINAL
ejpam-5237	58	2	first	ORDINAL
ejpam-5237	58	3	13	CARDINAL
ejpam-5237	60	1	a. ait brahim	PERSON
ejpam-5237	61	1	j. pure	PERSON
ejpam-5237	61	2	17	CARDINAL
ejpam-5237	61	3	3	CARDINAL
ejpam-5237	61	4	2024	CARDINAL
ejpam-5237	61	5	1842-1854 1845	DATE
ejpam-5237	61	6	1	CARDINAL
ejpam-5237	63	1	r.	NORP
ejpam-5237	64	1	4	CARDINAL
ejpam-5237	64	2	0	CARDINAL
ejpam-5237	64	3	0	CARDINAL
ejpam-5237	64	4	1	CARDINAL
ejpam-5237	65	1	0	CARDINAL
ejpam-5237	65	2	limt→0+ n	LOC
ejpam-5237	65	3	1	CARDINAL
ejpam-5237	65	4	+ n	QUANTITY
ejpam-5237	66	1	5	CARDINAL
ejpam-5237	67	1	2	CARDINAL
ejpam-5237	68	1	r.	NORP
ejpam-5237	69	1	m(t+ εf	GPE
ejpam-5237	69	2	6	CARDINAL
ejpam-5237	69	3	0	CARDINAL
ejpam-5237	69	4	0	CARDINAL
ejpam-5237	69	5	1	CARDINAL
ejpam-5237	70	1	ea	CARDINAL
ejpam-5237	71	1	1	CARDINAL
ejpam-5237	72	1	0	CARDINAL
ejpam-5237	73	1	0	CARDINAL
ejpam-5237	73	2	1	CARDINAL
ejpam-5237	73	3	+ bg)(t	PERSON
ejpam-5237	76	1	3	CARDINAL
ejpam-5237	77	1	7	CARDINAL
ejpam-5237	78	1	0	CARDINAL
ejpam-5237	78	2	1	CARDINAL
ejpam-5237	78	3	0	CARDINAL
ejpam-5237	79	1	0	CARDINAL
ejpam-5237	79	2	0	CARDINAL
ejpam-5237	81	1	8)	CARDINAL
ejpam-5237	81	2	2	CARDINAL
ejpam-5237	81	3	8	CARDINAL
ejpam-5237	84	1	3	CARDINAL
ejpam-5237	84	2	0	CARDINAL
ejpam-5237	85	1	dα(am + bm	PERSON
ejpam-5237	87	1	∈	ORG
ejpam-5237	91	1	a. ait brahim	PERSON
ejpam-5237	92	1	j. pure	PERSON
ejpam-5237	92	2	17	CARDINAL
ejpam-5237	92	3	3	CARDINAL
ejpam-5237	92	4	2024	CARDINAL
ejpam-5237	92	5	1842-1854	DATE
ejpam-5237	92	6	3	CARDINAL
ejpam-5237	92	7	3.1	CARDINAL
ejpam-5237	93	1	9	CARDINAL
ejpam-5237	96	1	10	CARDINAL
ejpam-5237	96	2	9	CARDINAL
ejpam-5237	98	1	11	CARDINAL
ejpam-5237	99	1	y(t	GPE
ejpam-5237	101	1	12	CARDINAL
ejpam-5237	101	2	3.2	CARDINAL
ejpam-5237	102	1	riemann liouville	PERSON
ejpam-5237	102	2	caputo	PERSON
ejpam-5237	102	3	riemann liouville	PERSON
ejpam-5237	102	4	caputo	PERSON
ejpam-5237	103	1	abdeljawad	PERSON
ejpam-5237	103	2	2015	DATE
ejpam-5237	103	3	khalil et al	PERSON
ejpam-5237	104	1	2014	DATE
ejpam-5237	104	2	1999	DATE
ejpam-5237	104	3	2006	DATE
ejpam-5237	105	1	riemann-liouville fractional derivative	ORG
ejpam-5237	105	2	1	CARDINAL
ejpam-5237	106	1	0	CARDINAL
ejpam-5237	106	2	13	CARDINAL
ejpam-5237	106	3	14	CARDINAL
ejpam-5237	106	4	15	CARDINAL
ejpam-5237	106	5	β(t	PERSON
ejpam-5237	107	1	0	CARDINAL
ejpam-5237	108	1	16	CARDINAL
ejpam-5237	108	2	a. ait brahim	PERSON
ejpam-5237	109	1	j. pure	PERSON
ejpam-5237	109	2	17	CARDINAL
ejpam-5237	109	3	3	CARDINAL
ejpam-5237	109	4	2024	CARDINAL
ejpam-5237	109	5	1842-1854 1847	DATE
ejpam-5237	109	6	1	CARDINAL
ejpam-5237	109	7	riemann-liouville fractional derivative	ORG
ejpam-5237	110	1	1	CARDINAL
ejpam-5237	111	1	0	CARDINAL
ejpam-5237	111	2	17	CARDINAL
ejpam-5237	112	1	18	CARDINAL
ejpam-5237	114	1	19	CARDINAL
ejpam-5237	114	2	2	CARDINAL
ejpam-5237	115	1	a. ait brahim	PERSON
ejpam-5237	116	1	j. pure	PERSON
ejpam-5237	116	2	17	CARDINAL
ejpam-5237	116	3	3	CARDINAL
ejpam-5237	116	4	2024	CARDINAL
ejpam-5237	116	5	1842-1854 1848	DATE
ejpam-5237	117	1	0	CARDINAL
ejpam-5237	117	2	20	CARDINAL
ejpam-5237	118	1	21	CARDINAL
ejpam-5237	120	1	22	CARDINAL
ejpam-5237	120	2	3	CARDINAL
ejpam-5237	121	1	1	CARDINAL
ejpam-5237	121	2	2	CARDINAL
ejpam-5237	121	3	3	CARDINAL
ejpam-5237	121	4	riemann-liouville	ORG
ejpam-5237	121	5	1	CARDINAL
ejpam-5237	121	6	three	CARDINAL
ejpam-5237	122	1	4	CARDINAL
ejpam-5237	122	2	4.1	CARDINAL
ejpam-5237	123	1	newton	ORG
ejpam-5237	123	2	newton	ORG
ejpam-5237	124	1	isaac newton	PERSON
ejpam-5237	125	1	newton	GPE
ejpam-5237	126	1	23	CARDINAL
ejpam-5237	126	2	a. ait brahim	PERSON
ejpam-5237	127	1	j. pure	PERSON
ejpam-5237	127	2	17	CARDINAL
ejpam-5237	127	3	3	CARDINAL
ejpam-5237	127	4	2024	CARDINAL
ejpam-5237	127	5	1842-1854 1849	DATE
ejpam-5237	129	1	−κt	ORG
ejpam-5237	130	1	24	CARDINAL
ejpam-5237	130	2	first	ORDINAL
ejpam-5237	130	3	23	CARDINAL
ejpam-5237	131	1	12	CARDINAL
ejpam-5237	133	1	one	CARDINAL
ejpam-5237	134	1	11	CARDINAL
ejpam-5237	134	2	k−1	GPE
ejpam-5237	135	1	25	CARDINAL
ejpam-5237	136	1	25	CARDINAL
ejpam-5237	136	2	23	CARDINAL
ejpam-5237	137	1	k−1	GPE
ejpam-5237	137	2	k−1	GPE
ejpam-5237	137	3	k−1	GPE
ejpam-5237	137	4	k−1	GPE
ejpam-5237	138	1	k−1	GPE
ejpam-5237	139	1	k−1	GPE
ejpam-5237	140	1	k−1	GPE
ejpam-5237	140	2	k−1	GPE
ejpam-5237	141	1	κf−1	NORP
ejpam-5237	141	2	k−1	GPE
ejpam-5237	143	1	κf−1	NORP
ejpam-5237	143	2	k−1	GPE
ejpam-5237	146	1	κf−1	NORP
ejpam-5237	146	2	k−1	GPE
ejpam-5237	148	1	k−1	GPE
ejpam-5237	148	2	k−1	GPE
ejpam-5237	151	1	k−1	GPE
ejpam-5237	151	2	κf−1	NORP
ejpam-5237	151	3	k−1	GPE
ejpam-5237	154	1	k−1	GPE
ejpam-5237	156	1	k−1	GPE
ejpam-5237	156	2	κf−1	NORP
ejpam-5237	156	3	k−1	GPE
ejpam-5237	159	1	26	CARDINAL
ejpam-5237	159	2	0.25	CARDINAL
ejpam-5237	159	3	0.5	CARDINAL
ejpam-5237	159	4	0.75	CARDINAL
ejpam-5237	160	1	5	CARDINAL
ejpam-5237	160	2	15	CARDINAL
ejpam-5237	161	1	a. ait brahim	PERSON
ejpam-5237	162	1	j. pure	PERSON
ejpam-5237	162	2	17	CARDINAL
ejpam-5237	162	3	3	CARDINAL
ejpam-5237	162	4	2024	CARDINAL
ejpam-5237	162	5	1842-1854 1850	DATE
ejpam-5237	166	1	4.2	CARDINAL
ejpam-5237	169	1	earth	LOC
ejpam-5237	169	2	approximately 9.8 m.s−1	CARDINAL
ejpam-5237	170	1	newton	ORG
ejpam-5237	171	1	the fall	DATE
ejpam-5237	172	1	massm	ORG
ejpam-5237	173	1	0	CARDINAL
ejpam-5237	177	1	27	CARDINAL
ejpam-5237	177	2	newton	ORG
ejpam-5237	178	1	dv(t)dt	ORG
ejpam-5237	178	2	v(0	PERSON
ejpam-5237	178	3	28	CARDINAL
ejpam-5237	179	1	dαv(t	PERSON
ejpam-5237	179	2	v(0	PERSON
ejpam-5237	179	3	29	CARDINAL
ejpam-5237	179	4	2.4	CARDINAL
ejpam-5237	179	5	6	CARDINAL
ejpam-5237	179	6	30	CARDINAL
ejpam-5237	179	7	a. ait brahim	PERSON
ejpam-5237	180	1	j. pure	PERSON
ejpam-5237	180	2	17	CARDINAL
ejpam-5237	180	3	3	CARDINAL
ejpam-5237	180	4	2024	CARDINAL
ejpam-5237	180	5	1842-1854 1851	DATE
ejpam-5237	181	1	1 1− α e(1−α)t	TIME
ejpam-5237	182	1	+ c.	PERSON
ejpam-5237	182	2	v(0	PERSON
ejpam-5237	182	3	zero	CARDINAL
ejpam-5237	183	1	1 1− α	TIME
ejpam-5237	184	1	32	CARDINAL
ejpam-5237	185	1	2(1−	CARDINAL
ejpam-5237	186	1	+m.	PERSON
ejpam-5237	186	2	33	CARDINAL
ejpam-5237	187	1	2(1−	CARDINAL
ejpam-5237	188	1	+a.	PERSON
ejpam-5237	188	2	34	CARDINAL
ejpam-5237	188	3	4	CARDINAL
ejpam-5237	189	1	0.25	CARDINAL
ejpam-5237	189	2	0.5	CARDINAL
ejpam-5237	189	3	0.75	CARDINAL
ejpam-5237	189	4	1	CARDINAL
ejpam-5237	189	5	12	CARDINAL
ejpam-5237	190	1	khalil	GPE
ejpam-5237	190	2	13	CARDINAL
ejpam-5237	192	1	a. ait brahim	PERSON
ejpam-5237	193	1	j. pure	PERSON
ejpam-5237	193	2	17	CARDINAL
ejpam-5237	193	3	3	CARDINAL
ejpam-5237	193	4	2024	CARDINAL
ejpam-5237	193	5	1842-1854	DATE
ejpam-5237	193	6	5	DATE
ejpam-5237	194	1	riemann-liouville	ORG
ejpam-5237	194	2	1	CARDINAL
ejpam-5237	195	1	three	CARDINAL
ejpam-5237	195	2	1/2	CARDINAL
ejpam-5237	195	3	1	CARDINAL
ejpam-5237	196	1	riemann-liouville	ORG
ejpam-5237	196	2	1/2	CARDINAL
ejpam-5237	196	3	1	CARDINAL
ejpam-5237	197	1	riemann-liouville	ORG
ejpam-5237	199	1	riemann-liouville	ORG
ejpam-5237	209	1	1853	DATE
ejpam-5237	209	2	1	CARDINAL
ejpam-5237	209	3	a. a. abdelhakim	PERSON
ejpam-5237	211	1	22(2):242–254	CARDINAL
ejpam-5237	211	2	2019	DATE
ejpam-5237	212	1	2	CARDINAL
ejpam-5237	214	1	2013	DATE
ejpam-5237	215	1	3	CARDINAL
ejpam-5237	217	1	279:57–66	DATE
ejpam-5237	217	2	2015	DATE
ejpam-5237	218	1	4	CARDINAL
ejpam-5237	218	2	anderson	PERSON
ejpam-5237	218	3	d.j.	GPE
ejpam-5237	220	1	10(02):109–137	DATE
ejpam-5237	220	2	2015	DATE
ejpam-5237	221	1	5	CARDINAL
ejpam-5237	221	2	a. ait brahim	PERSON
ejpam-5237	221	3	a. el hajaji	PERSON
ejpam-5237	221	4	k. hilal	PERSON
ejpam-5237	221	5	j. el ghordaf	PERSON
ejpam-5237	223	1	european journal	ORG
ejpam-5237	223	2	april 2024	DATE
ejpam-5237	224	1	6	CARDINAL
ejpam-5237	224	2	j. a. méndez	PERSON
ejpam-5237	224	3	j. e. nápoles	PERSON
ejpam-5237	224	4	j. m. sigarreta	PERSON
ejpam-5237	226	1	revista mexicana de f́ısica	PERSON
ejpam-5237	226	2	65:618–625	DATE
ejpam-5237	226	3	2019	DATE
ejpam-5237	227	1	7	CARDINAL
ejpam-5237	227	2	j. e. nápoles	PERSON
ejpam-5237	227	3	j. m. rodŕıguez	PERSON
ejpam-5237	227	4	j. m. sigarreta	PERSON
ejpam-5237	229	1	revista de la uma	ORG
ejpam-5237	229	2	62(2):443–457	CARDINAL
ejpam-5237	229	3	2021	DATE
ejpam-5237	230	1	8	CARDINAL
ejpam-5237	230	2	ahmed kajouni	PERSON
ejpam-5237	230	3	ahmed chafiki	PERSON
ejpam-5237	230	4	khalid hilal	PERSON
ejpam-5237	230	5	mohamed oukessou	PERSON
ejpam-5237	232	1	hindawi	ORG
ejpam-5237	232	2	2022	CARDINAL
ejpam-5237	233	1	9	CARDINAL
ejpam-5237	233	2	r. khalil	PERSON
ejpam-5237	233	3	m. al-horani	PERSON
ejpam-5237	233	4	a. youcef	PERSON
ejpam-5237	233	5	m. sababheh	PERSON
ejpam-5237	235	1	264:65–70	CARDINAL
ejpam-5237	235	2	2014	DATE
ejpam-5237	236	1	10	CARDINAL
ejpam-5237	236	2	j. e.	PERSON
ejpam-5237	238	1	43):87–98, 2020	DATE
ejpam-5237	239	1	11	CARDINAL
ejpam-5237	239	2	j. e. nápoles	PERSON
ejpam-5237	239	3	m. guzmán	PERSON
ejpam-5237	239	4	l. m. lugo	PERSON
ejpam-5237	239	5	a. kashuri	PERSON
ejpam-5237	241	1	2020	DATE
ejpam-5237	242	1	12	CARDINAL
ejpam-5237	242	2	j.f. gómez	GPE
ejpam-5237	242	3	m. gúıa	PERSON
ejpam-5237	242	4	v.i.	PERSON
ejpam-5237	242	5	tkach	PERSON
ejpam-5237	243	1	lfnm	PERSON
ejpam-5237	244	1	2011	DATE
ejpam-5237	245	1	13	CARDINAL
ejpam-5237	245	2	j. e.	PERSON
ejpam-5237	245	3	m. guzmán	PERSON
ejpam-5237	245	4	l. m. lugo	PERSON
ejpam-5237	247	1	13(2):167–175	DATE
ejpam-5237	247	2	2018	DATE
ejpam-5237	248	1	14	CARDINAL
ejpam-5237	250	1	physics astronomy international journal	ORG
ejpam-5237	250	2	7(3):163–168	CARDINAL
ejpam-5237	250	3	2023	CARDINAL
ejpam-5237	251	1	15	CARDINAL
ejpam-5237	251	2	m. vivas-cortez	PERSON
ejpam-5237	251	3	a. fleitas	PERSON
ejpam-5237	251	4	j.j. rosales	PERSON
ejpam-5237	252	1	newton	GPE
ejpam-5237	253	1	13	CARDINAL
ejpam-5237	253	2	2021	CARDINAL
ejpam-5237	254	1	1854	DATE
ejpam-5237	255	1	16	CARDINAL
ejpam-5237	255	2	miguel vivas-cortez	PERSON
ejpam-5237	255	3	juan e.	PERSON
ejpam-5237	255	4	shilpi jain	PERSON
ejpam-5237	255	5	praveen agarwal	PERSON
ejpam-5237	257	1	mathematics & information sciences	ORG
ejpam-5237	257	2	2023	CARDINAL
ejpam-5237	258	1	17	CARDINAL
ejpam-5237	258	2	d. zhao	PERSON
ejpam-5237	258	3	m. luo	PERSON
ejpam-5237	259	1	54:903–917	DATE
ejpam-5237	259	2	2017	DATE