id	sid	eid	entity	type
ejpam-6051	1	1	european journal	ORG
ejpam-6051	1	2	2025	DATE
ejpam-6051	1	3	18	CARDINAL
ejpam-6051	1	4	2	CARDINAL
ejpam-6051	1	5	6051	CARDINAL
ejpam-6051	1	6	1307-5543	DATE
ejpam-6051	1	7	new york	GPE
ejpam-6051	1	8	two	CARDINAL
ejpam-6051	1	9	usman1	ORG
ejpam-6051	1	10	ullah khan1,∗	PERSON
ejpam-6051	1	11	muhammad sarwar1,2	PERSON
ejpam-6051	1	12	nahid fatima2	PERSON
ejpam-6051	1	13	1	CARDINAL
ejpam-6051	1	14	university of malakand chakdara dir(l	ORG
ejpam-6051	1	15	18000	CARDINAL
ejpam-6051	1	16	khyber pakhtunkhwa	GPE
ejpam-6051	1	17	pakistan 2	ORG
ejpam-6051	1	18	prince sultan university	ORG
ejpam-6051	1	19	saudi arabia	GPE
ejpam-6051	2	1	2d	DATE
ejpam-6051	4	1	2d	DATE
ejpam-6051	5	1	adm	ORG
ejpam-6051	8	1	2d	DATE
ejpam-6051	10	1	2020	DATE
ejpam-6051	10	2	26a33	CARDINAL
ejpam-6051	10	3	35exx	DATE
ejpam-6051	10	4	35r13	CARDINAL
ejpam-6051	10	5	2d	CARDINAL
ejpam-6051	10	6	1	CARDINAL
ejpam-6051	12	1	1	CARDINAL
ejpam-6051	15	1	m. usman	PERSON
ejpam-6051	15	2	nfatima@psu.edu.sa	ORG
ejpam-6051	15	3	kamal@psu.edu.sa	GPE
ejpam-6051	16	1	1	CARDINAL
ejpam-6051	16	2	2025	CARDINAL
ejpam-6051	17	1	m. usman et al	PERSON
ejpam-6051	18	1	j. pure	PERSON
ejpam-6051	18	2	18	CARDINAL
ejpam-6051	18	3	2	CARDINAL
ejpam-6051	18	4	2025	CARDINAL
ejpam-6051	18	5	6051 2	DATE
ejpam-6051	18	6	10	CARDINAL
ejpam-6051	19	1	2	CARDINAL
ejpam-6051	19	2	3	CARDINAL
ejpam-6051	20	1	three	CARDINAL
ejpam-6051	20	2	third	ORDINAL
ejpam-6051	20	3	4	CARDINAL
ejpam-6051	20	4	5	CARDINAL
ejpam-6051	22	1	1965	DATE
ejpam-6051	23	1	6	CARDINAL
ejpam-6051	25	1	chang	PERSON
ejpam-6051	25	2	zadeh	ORG
ejpam-6051	28	1	8	CARDINAL
ejpam-6051	30	1	zadeh	ORG
ejpam-6051	31	1	9	CARDINAL
ejpam-6051	33	1	10	CARDINAL
ejpam-6051	35	1	8	CARDINAL
ejpam-6051	40	1	11	CARDINAL
ejpam-6051	41	1	12	CARDINAL
ejpam-6051	42	1	o.a. arqub	PERSON
ejpam-6051	43	1	13	CARDINAL
ejpam-6051	46	1	11	CARDINAL
ejpam-6051	49	1	m. usman et al	PERSON
ejpam-6051	50	1	j. pure	PERSON
ejpam-6051	50	2	18	CARDINAL
ejpam-6051	50	3	2	CARDINAL
ejpam-6051	50	4	2025	CARDINAL
ejpam-6051	50	5	6051 3	DATE
ejpam-6051	50	6	10	CARDINAL
ejpam-6051	51	1	riemann-liouville fractional-order	ORG
ejpam-6051	51	2	caputo-fabrizio	PERSON
ejpam-6051	52	1	15–18	CARDINAL
ejpam-6051	53	1	pde	ORG
ejpam-6051	54	1	adm	PERSON
ejpam-6051	54	2	ladm	PERSON
ejpam-6051	54	3	19	CARDINAL
ejpam-6051	54	4	20	CARDINAL
ejpam-6051	55	1	adm	PERSON
ejpam-6051	56	1	2	CARDINAL
ejpam-6051	57	1	adm	PERSON
ejpam-6051	58	1	∂2	CARDINAL
ejpam-6051	58	2	1	CARDINAL
ejpam-6051	58	3	0 ≤ λ̆	MONEY
ejpam-6051	58	4	0	DATE
ejpam-6051	60	1	1	CARDINAL
ejpam-6051	60	2	1	CARDINAL
ejpam-6051	60	3	∂tβ φ̆(x	WORK_OF_ART
ejpam-6051	62	1	1	CARDINAL
ejpam-6051	62	2	0 ≤	QUANTITY
ejpam-6051	62	3	0	DATE
ejpam-6051	64	1	2	CARDINAL
ejpam-6051	64	2	λ− 1	DATE
ejpam-6051	64	3	1−	TIME
ejpam-6051	66	1	0	CARDINAL
ejpam-6051	66	2	1	CARDINAL
ejpam-6051	66	3	2	CARDINAL
ejpam-6051	67	1	1	CARDINAL
ejpam-6051	68	1	21	CARDINAL
ejpam-6051	68	2	∈	ORG
ejpam-6051	68	3	1	DATE
ejpam-6051	69	1	0	CARDINAL
ejpam-6051	69	2	1	CARDINAL
ejpam-6051	70	1	2	CARDINAL
ejpam-6051	71	1	21	CARDINAL
ejpam-6051	71	2	riemann-liouville	ORG
ejpam-6051	72	1	m. usman et al	PERSON
ejpam-6051	73	1	j. pure	PERSON
ejpam-6051	73	2	18	CARDINAL
ejpam-6051	73	3	2	CARDINAL
ejpam-6051	73	4	2025	CARDINAL
ejpam-6051	73	5	6051 4	DATE
ejpam-6051	73	6	1	CARDINAL
ejpam-6051	73	7	⊙	ORG
ejpam-6051	75	1	t)m−β−1 ⊙ φ(t)dt	WORK_OF_ART
ejpam-6051	75	2	1	CARDINAL
ejpam-6051	75	3	1	CARDINAL
ejpam-6051	75	4	3	CARDINAL
ejpam-6051	77	1	3	CARDINAL
ejpam-6051	78	1	21	CARDINAL
ejpam-6051	78	2	riemann-liouville	ORG
ejpam-6051	78	3	cgh φ(x	PERSON
ejpam-6051	79	1	1	CARDINAL
ejpam-6051	79	2	⊙	LAW
ejpam-6051	79	3	t)m−β−1 ⊙ φm(t)dt	DATE
ejpam-6051	79	4	1 (	PERCENT
ejpam-6051	79	5	4	CARDINAL
ejpam-6051	79	6	4	CARDINAL
ejpam-6051	80	1	21	CARDINAL
ejpam-6051	81	1	n=0	PERSON
ejpam-6051	82	1	5	CARDINAL
ejpam-6051	83	1	22	CARDINAL
ejpam-6051	83	2	r(v	ORG
ejpam-6051	86	1	⊙	ORG
ejpam-6051	86	2	φ(x	PRODUCT
ejpam-6051	86	3	vt)dt	LOC
ejpam-6051	86	4	0	CARDINAL
ejpam-6051	87	1	6	CARDINAL
ejpam-6051	88	1	23	CARDINAL
ejpam-6051	89	1	i=0 φi(x	GPE
ejpam-6051	90	1	3	CARDINAL
ejpam-6051	90	2	2d	CARDINAL
ejpam-6051	92	1	2	CARDINAL
ejpam-6051	92	2	∂tβ φ̆(x	WORK_OF_ART
ejpam-6051	97	1	5	CARDINAL
ejpam-6051	99	1	φβ−i	CARDINAL
ejpam-6051	101	1	6	CARDINAL
ejpam-6051	101	2	m. usman et al	PERSON
ejpam-6051	102	1	j. pure	PERSON
ejpam-6051	102	2	18	CARDINAL
ejpam-6051	102	3	2	CARDINAL
ejpam-6051	102	4	2025	CARDINAL
ejpam-6051	102	5	6051 5	DATE
ejpam-6051	103	1	1	CARDINAL
ejpam-6051	104	1	7	CARDINAL
ejpam-6051	107	1	9	CARDINAL
ejpam-6051	108	1	10)	ORDINAL
ejpam-6051	108	2	φ̆0(x	GPE
ejpam-6051	112	1	φ̆0(x	GPE
ejpam-6051	113	1	φ̆0(x	GPE
ejpam-6051	115	1	11	CARDINAL
ejpam-6051	115	2	φ̆0(x	GPE
ejpam-6051	116	1	12	CARDINAL
ejpam-6051	117	1	φ̆0(x	GPE
ejpam-6051	117	2	φ̆0(x	GPE
ejpam-6051	119	1	13	CARDINAL
ejpam-6051	120	1	∂2 ∂x2 φ̆1(x	ORG
ejpam-6051	121	1	14	CARDINAL
ejpam-6051	123	1	15	CARDINAL
ejpam-6051	123	2	n ≥ 1. 4	DATE
ejpam-6051	123	3	1	CARDINAL
ejpam-6051	124	1	2d	DATE
ejpam-6051	124	2	11	CARDINAL
ejpam-6051	126	1	∂tβ φ̆(x	WORK_OF_ART
ejpam-6051	127	1	+ 1	DATE
ejpam-6051	127	2	0 < λ̆	MONEY
ejpam-6051	127	3	0	DATE
ejpam-6051	127	4	0	CARDINAL
ejpam-6051	128	1	16	CARDINAL
ejpam-6051	128	2	m. usman et al	PERSON
ejpam-6051	129	1	j. pure	PERSON
ejpam-6051	129	2	18	CARDINAL
ejpam-6051	129	3	2	CARDINAL
ejpam-6051	129	4	2025	CARDINAL
ejpam-6051	129	5	6051 6	DATE
ejpam-6051	129	6	10	CARDINAL
ejpam-6051	130	1	λ− 1	DATE
ejpam-6051	130	2	1−λ	CARDINAL
ejpam-6051	130	3	15	CARDINAL
ejpam-6051	130	4	φ̆0(x	GPE
ejpam-6051	131	1	φ̆1(x	ORG
ejpam-6051	132	1	+ 1	DATE
ejpam-6051	132	2	φ̆3(x	GPE
ejpam-6051	139	1	0.2 0.4 0.6 0.8 1 00.10.20.30.40.50.60.70.80.91	QUANTITY
ejpam-6051	139	2	−0.1	ORG
ejpam-6051	139	3	y x fu z	PERSON
ejpam-6051	140	1	1	CARDINAL
ejpam-6051	140	2	1	CARDINAL
ejpam-6051	141	1	2	CARDINAL
ejpam-6051	141	2	two	CARDINAL
ejpam-6051	141	3	11	CARDINAL
ejpam-6051	142	1	∂tβ φ̆(x	WORK_OF_ART
ejpam-6051	143	1	∈	ORG
ejpam-6051	144	1	0	CARDINAL
ejpam-6051	144	2	1	CARDINAL
ejpam-6051	144	3	1	CARDINAL
ejpam-6051	144	4	0	CARDINAL
ejpam-6051	144	5	0	DATE
ejpam-6051	144	6	1	CARDINAL
ejpam-6051	144	7	0	CARDINAL
ejpam-6051	144	8	17	CARDINAL
ejpam-6051	145	1	1−λ	CARDINAL
ejpam-6051	146	1	15	CARDINAL
ejpam-6051	146	2	φ̆0(x	GPE
ejpam-6051	147	1	m. usman et al	PERSON
ejpam-6051	148	1	j. pure	PERSON
ejpam-6051	148	2	18	CARDINAL
ejpam-6051	148	3	2	CARDINAL
ejpam-6051	148	4	2025	CARDINAL
ejpam-6051	148	5	6051 7	DATE
ejpam-6051	148	6	10	CARDINAL
ejpam-6051	148	7	φ̆1(x	ORG
ejpam-6051	148	8	y)λ̆[−2π2	ORG
ejpam-6051	152	1	+ 3	DATE
ejpam-6051	153	1	+ 1	DATE
ejpam-6051	153	2	φ̆3(x	GPE
ejpam-6051	153	3	t, y)λ̆[8π 6	DATE
ejpam-6051	154	1	γ(3β + 1	DATE
ejpam-6051	155	1	t, y)φ̆0(x	GPE
ejpam-6051	158	1	zero	CARDINAL
ejpam-6051	159	1	−1)n2ntnβπ2n	ORG
ejpam-6051	160	1	sin(π(x+	DATE
ejpam-6051	164	1	−0.1	ORG
ejpam-6051	164	2	0.05 0.1 0.15 0.2	MONEY
ejpam-6051	164	3	2	CARDINAL
ejpam-6051	164	4	2	CARDINAL
ejpam-6051	165	1	3	CARDINAL
ejpam-6051	165	2	two	CARDINAL
ejpam-6051	165	3	11].	CARDINAL
ejpam-6051	165	4	1 2(x+	CARDINAL
ejpam-6051	165	5	∂2	CARDINAL
ejpam-6051	167	1	1	CARDINAL
ejpam-6051	167	2	0	CARDINAL
ejpam-6051	167	3	0	CARDINAL
ejpam-6051	167	4	1	CARDINAL
ejpam-6051	167	5	0	CARDINAL
ejpam-6051	168	1	0	CARDINAL
ejpam-6051	168	2	18	CARDINAL
ejpam-6051	169	1	λ− 1	DATE
ejpam-6051	169	2	1−	TIME
ejpam-6051	169	3	m. usman et al	PERSON
ejpam-6051	170	1	j. pure	PERSON
ejpam-6051	170	2	18	CARDINAL
ejpam-6051	170	3	2	CARDINAL
ejpam-6051	170	4	2025	CARDINAL
ejpam-6051	170	5	6051 8 of 10	DATE
ejpam-6051	170	6	15	CARDINAL
ejpam-6051	170	7	φ̆0(x	GPE
ejpam-6051	171	1	φ̆1(x	ORG
ejpam-6051	177	1	+ 1	DATE
ejpam-6051	177	2	φ̆3(x	GPE
ejpam-6051	178	1	γ(3β + 1	DATE
ejpam-6051	183	1	zero	CARDINAL
ejpam-6051	184	1	2ntnβ	CARDINAL
ejpam-6051	185	1	0.1 0.2 0.3 0.4 0.5 0.6 0.7	QUANTITY
ejpam-6051	185	2	0.2 0.4 0.6 0.8	QUANTITY
ejpam-6051	185	3	0.2 0.4	TIME
ejpam-6051	185	4	3	CARDINAL
ejpam-6051	185	5	3	CARDINAL
ejpam-6051	185	6	5	CARDINAL
ejpam-6051	185	7	adm	ORG
ejpam-6051	185	8	2-d	QUANTITY
ejpam-6051	186	1	2-d	QUANTITY
ejpam-6051	187	1	m. usman et al	PERSON
ejpam-6051	188	1	j. pure	PERSON
ejpam-6051	188	2	18	CARDINAL
ejpam-6051	188	3	2	CARDINAL
ejpam-6051	188	4	2025	CARDINAL
ejpam-6051	188	5	6051 9	DATE
ejpam-6051	191	1	linear	ORG
ejpam-6051	192	1	prince sultan university	ORG
ejpam-6051	192	2	apc	ORG
ejpam-6051	193	1	1	CARDINAL
ejpam-6051	193	2	juan j nieto	PERSON
ejpam-6051	195	1	72(6):2859–2862	DATE
ejpam-6051	195	2	2010	DATE
ejpam-6051	196	1	2	CARDINAL
ejpam-6051	196	2	edinburgh	GPE
ejpam-6051	197	1	edinburgh	GPE
ejpam-6051	197	2	9	CARDINAL
ejpam-6051	198	1	scottish	NORP
ejpam-6051	198	2	1891	DATE
ejpam-6051	199	1	3	CARDINAL
ejpam-6051	199	2	kenneth s miller	PERSON
ejpam-6051	199	3	bertram ross	PERSON
ejpam-6051	201	1	1993	DATE
ejpam-6051	202	1	4	CARDINAL
ejpam-6051	202	2	varsha daftardar-gejji	PERSON
ejpam-6051	204	1	293(2):511–522, 2004	DATE
ejpam-6051	205	1	5	CARDINAL
ejpam-6051	205	2	muhammad zahid	PERSON
ejpam-6051	205	3	din	ORG
ejpam-6051	205	4	kamal shah	PERSON
ejpam-6051	205	5	abdeljawad	PERSON
ejpam-6051	207	1	plos one	PERSON
ejpam-6051	207	2	19(6):e0303642	CARDINAL
ejpam-6051	207	3	2024	DATE
ejpam-6051	208	1	6	CARDINAL
ejpam-6051	208	2	george j	PERSON
ejpam-6051	209	1	6	CARDINAL
ejpam-6051	210	1	1996	DATE
ejpam-6051	211	1	7	CARDINAL
ejpam-6051	211	2	ss chang	PERSON
ejpam-6051	213	1	lotfi	ORG
ejpam-6051	213	2	zadeh, 1996	ORG
ejpam-6051	214	1	8	CARDINAL
ejpam-6051	214	2	didier dubois	PERSON
ejpam-6051	215	1	1	CARDINAL
ejpam-6051	216	1	8(1):1–17, 1982	DATE
ejpam-6051	217	1	9	CARDINAL
ejpam-6051	217	2	didier dubois	PERSON
ejpam-6051	218	1	3	CARDINAL
ejpam-6051	219	1	8(3):225–233, 1982	DATE
ejpam-6051	220	1	10	CARDINAL
ejpam-6051	220	2	didier dubois	PERSON
ejpam-6051	221	1	2	CARDINAL
ejpam-6051	222	1	8(2):105–116, 1982	DATE
ejpam-6051	223	1	11	CARDINAL
ejpam-6051	223	2	muhammad arfan	PERSON
ejpam-6051	223	3	kamal shah	PERSON
ejpam-6051	223	4	thabet abdeljawad	PERSON
ejpam-6051	224	1	two	CARDINAL
ejpam-6051	225	1	37(2):1407–1418	CARDINAL
ejpam-6051	225	2	2021	CARDINAL
ejpam-6051	226	1	12	CARDINAL
ejpam-6051	226	2	mohammed al-smadi	PERSON
ejpam-6051	226	3	omar abu arqub	PERSON
ejpam-6051	228	1	342:280–294	DATE
ejpam-6051	228	2	2019	DATE
ejpam-6051	229	1	13	CARDINAL
ejpam-6051	229	2	omar abu arqub	PERSON
ejpam-6051	231	1	usman et al	PERSON
ejpam-6051	232	1	j. pure	PERSON
ejpam-6051	232	2	18	CARDINAL
ejpam-6051	232	3	2	CARDINAL
ejpam-6051	232	4	2025	CARDINAL
ejpam-6051	232	5	6051 10	DATE
ejpam-6051	232	6	10	CARDINAL
ejpam-6051	233	1	59(1):227–243	CARDINAL
ejpam-6051	233	2	2019	DATE
ejpam-6051	234	1	14	CARDINAL
ejpam-6051	237	1	j. contemp	PERSON
ejpam-6051	239	1	sci	ORG
ejpam-6051	239	2	4(3):105	DATE
ejpam-6051	239	3	114	CARDINAL
ejpam-6051	239	4	2009	DATE
ejpam-6051	240	1	15	CARDINAL
ejpam-6051	240	2	mehmet yavuz	PERSON
ejpam-6051	242	1	36(6):1348–1368	CARDINAL
ejpam-6051	242	2	2020	DATE
ejpam-6051	243	1	16	CARDINAL
ejpam-6051	243	2	muhammad arfan	PERSON
ejpam-6051	243	3	kamal shah	PERSON
ejpam-6051	243	4	anwar zeb	PERSON
ejpam-6051	243	5	salih djilali	PERSON
ejpam-6051	243	6	saowaluck chasreechai	PERSON
ejpam-6051	244	1	two	CARDINAL
ejpam-6051	245	1	5(4):139	CARDINAL
ejpam-6051	245	2	2021	CARDINAL
ejpam-6051	246	1	17	CARDINAL
ejpam-6051	246	2	madeeha tahir	PERSON
ejpam-6051	246	3	muhammad nawaz naeem	PERSON
ejpam-6051	246	4	maria javaid	PERSON
ejpam-6051	246	5	muhammad younas	PERSON
ejpam-6051	246	6	muhammad imran	PERSON
ejpam-6051	246	7	naeem sadiq	PERSON
ejpam-6051	246	8	rabia safdar	PERSON
ejpam-6051	248	1	16(1):193–200, 2018	DATE
ejpam-6051	249	1	18	CARDINAL
ejpam-6051	249	2	ala eldin	PERSON
ejpam-6051	249	3	amir abubaker musa	PERSON
ejpam-6051	249	4	faouzi nasri	PERSON
ejpam-6051	251	1	15(1):20523–20528	CARDINAL
ejpam-6051	251	2	2025	DATE
ejpam-6051	252	1	19	CARDINAL
ejpam-6051	252	2	jalil manafian	PERSON
ejpam-6051	254	1	6(1):68–77	CARDINAL
ejpam-6051	254	2	2015	DATE
ejpam-6051	255	1	20	CARDINAL
ejpam-6051	255	2	abd ullah	PERSON
ejpam-6051	255	3	aman ullah	PERSON
ejpam-6051	255	4	shabir ahmad	PERSON
ejpam-6051	255	5	mahmood ul haq	PERSON
ejpam-6051	255	6	kamal shah	PERSON
ejpam-6051	255	7	nabil mlaiki	PERSON
ejpam-6051	257	1	2022(1):3864053	CARDINAL
ejpam-6051	257	2	2022	CARDINAL
ejpam-6051	258	1	21	CARDINAL
ejpam-6051	260	1	397	CARDINAL
ejpam-6051	260	2	2021	CARDINAL
ejpam-6051	261	1	22	CARDINAL
ejpam-6051	261	2	bin muhammed belgacem	PERSON
ejpam-6051	264	1	engg	ORG
ejpam-6051	265	1	sci. aeros,	ORG
ejpam-6051	265	2	3:99–124	DATE
ejpam-6051	265	3	2012	DATE
ejpam-6051	266	1	23	CARDINAL
ejpam-6051	266	2	abdul-majid wazwaz	PERSON
ejpam-6051	267	1	linear	ORG
ejpam-6051	267	2	639	CARDINAL
ejpam-6051	267	3	2011	DATE