id	sid	eid	entity	type
ejpam-5963	1	1	european journal	ORG
ejpam-5963	1	2	2025	DATE
ejpam-5963	1	3	18	CARDINAL
ejpam-5963	1	4	2	CARDINAL
ejpam-5963	1	5	5963	CARDINAL
ejpam-5963	1	6	1307-5543	DATE
ejpam-5963	1	7	new york	GPE
ejpam-5963	1	8	amjad ali1	PERSON
ejpam-5963	1	9	bibi1	ORG
ejpam-5963	1	10	kamal shah3	PERSON
ejpam-5963	1	11	abdeljawad3 1	FAC
ejpam-5963	1	12	university of swat	ORG
ejpam-5963	1	13	kpk	GPE
ejpam-5963	1	14	pakistan 2	ORG
ejpam-5963	1	15	national yunlin university of science	ORG
ejpam-5963	1	16	taiwan	GPE
ejpam-5963	1	17	r. o.c 2	ORG
ejpam-5963	1	18	prince sultan university	ORG
ejpam-5963	1	19	p.o.	ORG
ejpam-5963	1	20	66833	DATE
ejpam-5963	1	21	11586	DATE
ejpam-5963	1	22	riyadh	GPE
ejpam-5963	1	23	saudi arabia	GPE
ejpam-5963	8	1	fa	ORG
ejpam-5963	9	1	kfpt	PERSON
ejpam-5963	12	1	2020	DATE
ejpam-5963	12	2	26a33	CARDINAL
ejpam-5963	12	3	35a07	CARDINAL
ejpam-5963	12	4	theorems ∗corresponding	ORG
ejpam-5963	14	1	a. ali	PERSON
ejpam-5963	14	2	zeeshan@yuntech.edu.tw	DATE
ejpam-5963	14	3	z. ali),kshah@psu.edu.sa	PERSON
ejpam-5963	14	4	k. shah	PERSON
ejpam-5963	14	5	babdallah@psu.edu.sa	GPE
ejpam-5963	14	6	tabdeljawad@psu.edu.sa	PERSON
ejpam-5963	14	7	1	CARDINAL
ejpam-5963	14	8	2025	CARDINAL
ejpam-5963	15	1	a. ali et al	PERSON
ejpam-5963	16	1	j. pure	PERSON
ejpam-5963	16	2	18	CARDINAL
ejpam-5963	16	3	2	CARDINAL
ejpam-5963	16	4	2025	CARDINAL
ejpam-5963	16	5	5963 2	CARDINAL
ejpam-5963	16	6	fc	NORP
ejpam-5963	17	1	1	CARDINAL
ejpam-5963	18	1	leibniz	ORG
ejpam-5963	18	2	the seventeenth hundred century	DATE
ejpam-5963	18	3	2	CARDINAL
ejpam-5963	19	1	3	CARDINAL
ejpam-5963	20	1	fc	ORG
ejpam-5963	20	2	4	CARDINAL
ejpam-5963	21	1	fc	ORG
ejpam-5963	22	1	fc	ORG
ejpam-5963	22	2	5	CARDINAL
ejpam-5963	23	1	1	CARDINAL
ejpam-5963	25	1	6	CARDINAL
ejpam-5963	26	1	riemann-liouville	ORG
ejpam-5963	27	1	7	CARDINAL
ejpam-5963	27	2	caputo-fabrizio	PERSON
ejpam-5963	28	1	8	CARDINAL
ejpam-5963	29	1	fc	NORP
ejpam-5963	30	1	2017	DATE
ejpam-5963	31	1	9	CARDINAL
ejpam-5963	33	1	10	CARDINAL
ejpam-5963	34	1	two	CARDINAL
ejpam-5963	34	2	first	ORDINAL
ejpam-5963	34	3	second	ORDINAL
ejpam-5963	35	1	11	CARDINAL
ejpam-5963	37	1	12	CARDINAL
ejpam-5963	38	1	13	CARDINAL
ejpam-5963	39	1	14	CARDINAL
ejpam-5963	40	1	15	CARDINAL
ejpam-5963	41	1	16	CARDINAL
ejpam-5963	43	1	a. ali et al	PERSON
ejpam-5963	44	1	j. pure	PERSON
ejpam-5963	44	2	18	CARDINAL
ejpam-5963	44	3	2	CARDINAL
ejpam-5963	44	4	2025	CARDINAL
ejpam-5963	44	5	5963 3	DATE
ejpam-5963	45	1	17	CARDINAL
ejpam-5963	47	1	lorenz	PERSON
ejpam-5963	48	1	18	CARDINAL
ejpam-5963	48	2	19	CARDINAL
ejpam-5963	51	1	20	CARDINAL
ejpam-5963	52	1	fpt	ORG
ejpam-5963	52	2	21	CARDINAL
ejpam-5963	56	1	22	CARDINAL
ejpam-5963	59	1	23	CARDINAL
ejpam-5963	63	1	24	CARDINAL
ejpam-5963	68	1	25	CARDINAL
ejpam-5963	68	2	ϕ(t	PERSON
ejpam-5963	70	1	0	CARDINAL
ejpam-5963	70	2	ω ×	ORG
ejpam-5963	72	1	26	CARDINAL
ejpam-5963	73	1	su	PERSON
ejpam-5963	74	1	27	CARDINAL
ejpam-5963	74	2	two	CARDINAL
ejpam-5963	74	3	a. ali et al	PERSON
ejpam-5963	75	1	j. pure	PERSON
ejpam-5963	75	2	18	CARDINAL
ejpam-5963	75	3	2	CARDINAL
ejpam-5963	75	4	2025	CARDINAL
ejpam-5963	75	5	5963 4	DATE
ejpam-5963	75	6	19	CARDINAL
ejpam-5963	75	7	ψ(t	FAC
ejpam-5963	77	1	0	CARDINAL
ejpam-5963	77	2	1	CARDINAL
ejpam-5963	77	3	ϕ(t	PERSON
ejpam-5963	80	1	0	CARDINAL
ejpam-5963	80	2	η	ORG
ejpam-5963	80	3	∈	ORG
ejpam-5963	80	4	1	CARDINAL
ejpam-5963	80	5	2	CARDINAL
ejpam-5963	80	6	0	CARDINAL
ejpam-5963	80	7	1	CARDINAL
ejpam-5963	81	1	wang et al.	PERSON
ejpam-5963	82	1	28	CARDINAL
ejpam-5963	82	2	three	CARDINAL
ejpam-5963	82	3	ψ(t	FAC
ejpam-5963	83	1	0	CARDINAL
ejpam-5963	83	2	1	CARDINAL
ejpam-5963	83	3	ϕ(t	PERSON
ejpam-5963	84	1	η	ORG
ejpam-5963	84	2	∈	ORG
ejpam-5963	84	3	1	CARDINAL
ejpam-5963	84	4	2	CARDINAL
ejpam-5963	84	5	0 ≤	MONEY
ejpam-5963	84	6	≤ 1	CARDINAL
ejpam-5963	84	7	1]×r	DATE
ejpam-5963	89	1	fpt	CARDINAL
ejpam-5963	89	2	29	CARDINAL
ejpam-5963	89	3	30	CARDINAL
ejpam-5963	90	1		CARDINAL
ejpam-5963	91	1	ξtξ−1f	CARDINAL
ejpam-5963	91	2	t, r(t	DATE
ejpam-5963	91	3	p(t	PERSON
ejpam-5963	92	1	∈	ORG
ejpam-5963	94	1	0	CARDINAL
ejpam-5963	95	1	p(t	PERSON
ejpam-5963	95	2	+ ϕ(r	PERSON
ejpam-5963	96	1	1	CARDINAL
ejpam-5963	96	2	∈	ORG
ejpam-5963	96	3	η	ORG
ejpam-5963	96	4	∈	ORG
ejpam-5963	96	5	0	CARDINAL
ejpam-5963	96	6	1	CARDINAL
ejpam-5963	97	1	0	CARDINAL
ejpam-5963	102	1	2	CARDINAL
ejpam-5963	105	1	0	CARDINAL
ejpam-5963	105	2	a a. ali et al	PERSON
ejpam-5963	106	1	j. pure	PERSON
ejpam-5963	106	2	18	CARDINAL
ejpam-5963	106	3	2	CARDINAL
ejpam-5963	106	4	2025	CARDINAL
ejpam-5963	106	5	5963 5	DATE
ejpam-5963	106	6	∥v∥.	CARDINAL
ejpam-5963	106	7	1	CARDINAL
ejpam-5963	107	1	2	CARDINAL
ejpam-5963	107	2	riemann-liouville	ORG
ejpam-5963	108	1	1 γ(m− η	QUANTITY
ejpam-5963	110	1	1	CARDINAL
ejpam-5963	110	2	dmy dtm	PERSON
ejpam-5963	110	3	η = m.	PERSON
ejpam-5963	111	1	1 γ(m− η	QUANTITY
ejpam-5963	112	1	y(δ)dδ	GPE
ejpam-5963	112	2	1	CARDINAL
ejpam-5963	113	1	dmy dtm	PERSON
ejpam-5963	113	2	η = m.	PERSON
ejpam-5963	113	3	1	CARDINAL
ejpam-5963	113	4	γ(η	GPE
ejpam-5963	116	1	2	CARDINAL
ejpam-5963	117	1	10	CARDINAL
ejpam-5963	117	2	riemann-liouville	ORG
ejpam-5963	117	3	0	CARDINAL
ejpam-5963	117	4	 1 γ(m− η	QUANTITY
ejpam-5963	119	1	1	CARDINAL
ejpam-5963	119	2	η	PERSON
ejpam-5963	121	1	1	CARDINAL
ejpam-5963	121	2	1 γ(m− η	QUANTITY
ejpam-5963	121	3	dmy dtm	PERSON
ejpam-5963	121	4	1	CARDINAL
ejpam-5963	121	5	η = m. definition	PERSON
ejpam-5963	121	6	3	CARDINAL
ejpam-5963	122	1	10	CARDINAL
ejpam-5963	122	2	rff	PERSON
ejpam-5963	123	1	γ(η	GPE
ejpam-5963	125	1	η	ORG
ejpam-5963	126	1	a. ali et al	PERSON
ejpam-5963	127	1	j. pure	PERSON
ejpam-5963	127	2	18	CARDINAL
ejpam-5963	127	3	2	CARDINAL
ejpam-5963	127	4	2025	CARDINAL
ejpam-5963	127	5	5963 6	CARDINAL
ejpam-5963	127	6	19	CARDINAL
ejpam-5963	127	7	1	CARDINAL
ejpam-5963	128	1	2	CARDINAL
ejpam-5963	128	2	fddηr(t)−	ORG
ejpam-5963	128	3	0	CARDINAL
ejpam-5963	129	1	4	CARDINAL
ejpam-5963	130	1	h(r	PERSON
ejpam-5963	130	2	5	CARDINAL
ejpam-5963	131	1	29	CARDINAL
ejpam-5963	131	2	u ×	ORG
ejpam-5963	131	3	0	CARDINAL
ejpam-5963	132	1	1	CARDINAL
ejpam-5963	133	1	29	CARDINAL
ejpam-5963	133	2	h(r	ORG
ejpam-5963	134	1	2	CARDINAL
ejpam-5963	135	1	two	CARDINAL
ejpam-5963	135	2	•	CARDINAL
ejpam-5963	136	1	•	CARDINAL
ejpam-5963	138	1	3	CARDINAL
ejpam-5963	138	2	1	CARDINAL
ejpam-5963	139	1	2	CARDINAL
ejpam-5963	140	1	∈	ORG
ejpam-5963	141	1	η	PERSON
ejpam-5963	141	2	∈	ORG
ejpam-5963	141	3	0	CARDINAL
ejpam-5963	141	4	1	CARDINAL
ejpam-5963	142	1	ξtξ−1f	CARDINAL
ejpam-5963	142	2	t, r(t	DATE
ejpam-5963	142	3	p(t	PERSON
ejpam-5963	142	4	p(t	PERSON
ejpam-5963	142	5	+ ϕ(r	PERSON
ejpam-5963	142	6	2	CARDINAL
ejpam-5963	142	7	+ ϕ(r	PERSON
ejpam-5963	144	1	γ(η	GPE
ejpam-5963	145	1	+ ψ(p	PERCENT
ejpam-5963	147	1	γ(η	GPE
ejpam-5963	148	1	3	CARDINAL
ejpam-5963	148	2	a. ali et al	PERSON
ejpam-5963	149	1	j. pure	PERSON
ejpam-5963	149	2	18	CARDINAL
ejpam-5963	149	3	2	CARDINAL
ejpam-5963	149	4	2025	CARDINAL
ejpam-5963	149	5	5963 7	DATE
ejpam-5963	149	6	19	CARDINAL
ejpam-5963	150	1	2	CARDINAL
ejpam-5963	150	2	linear	ORG
ejpam-5963	151	1	ξtξ−1f	CARDINAL
ejpam-5963	151	2	t, r(t	DATE
ejpam-5963	151	3	p(t	PERSON
ejpam-5963	153	1	p(t	PERSON
ejpam-5963	154	1	+ ϕ(r	PERSON
ejpam-5963	154	2	4	CARDINAL
ejpam-5963	156	1	4	CARDINAL
ejpam-5963	156	2	1	CARDINAL
ejpam-5963	156	3	p(t	PERSON
ejpam-5963	159	1	5	CARDINAL
ejpam-5963	159	2	+ ϕ(r	PERSON
ejpam-5963	160	1	5	CARDINAL
ejpam-5963	160	2	+ ϕ(r	PERSON
ejpam-5963	162	1	γ(η	GPE
ejpam-5963	163	1	+ ψ(p	PERCENT
ejpam-5963	165	1	γ(η	GPE
ejpam-5963	166	1	6	CARDINAL
ejpam-5963	166	2	4	CARDINAL
ejpam-5963	166	3	6	CARDINAL
ejpam-5963	167	1	+ ϕ(r	PERSON
ejpam-5963	169	1	γ(η	GPE
ejpam-5963	170	1	+ ψ(p	PERCENT
ejpam-5963	172	1	γ(η	GPE
ejpam-5963	173	1	7	CARDINAL
ejpam-5963	173	2	7	CARDINAL
ejpam-5963	173	3	2	CARDINAL
ejpam-5963	175	1	h(r	ORG
ejpam-5963	175	2	h1r(t	ORG
ejpam-5963	175	3	h2p(t	ORG
ejpam-5963	176	1	h1r(t	ORG
ejpam-5963	176	2	+ ϕ(r	PERSON
ejpam-5963	178	1	g∗∗	ORG
ejpam-5963	178	2	p)(t	ORG
ejpam-5963	178	3	p)(t	ORG
ejpam-5963	178	4	g ∗ 2(r	PERSON
ejpam-5963	178	5	p)(t	ORG
ejpam-5963	178	6	9	CARDINAL
ejpam-5963	178	7	p)(t	ORG
ejpam-5963	179	1	γ(η	GPE
ejpam-5963	181	1	2(r	CARDINAL
ejpam-5963	181	2	p)(t	ORG
ejpam-5963	182	1	γ(η	GPE
ejpam-5963	183	1	a. ali et al	PERSON
ejpam-5963	184	1	j. pure	PERSON
ejpam-5963	184	2	18	CARDINAL
ejpam-5963	184	3	2	CARDINAL
ejpam-5963	184	4	2025	CARDINAL
ejpam-5963	184	5	5963 8	DATE
ejpam-5963	184	6	k = h	PERSON
ejpam-5963	185	1	6	CARDINAL
ejpam-5963	185	2	= k(r	PERSON
ejpam-5963	185	3	p)(t	ORG
ejpam-5963	185	4	p)(t	ORG
ejpam-5963	187	1	∈	ORG
ejpam-5963	187	2	0	CARDINAL
ejpam-5963	187	3	1	CARDINAL
ejpam-5963	190	1	c3	ORG
ejpam-5963	190	2	p(t))| ≤ c1|r|+	ORG
ejpam-5963	190	3	c3	GPE
ejpam-5963	190	4	|g(t, r(t	GPE
ejpam-5963	191	1	f(t, r(t	LOC
ejpam-5963	191	2	||p−	GPE
ejpam-5963	191	3	g(t, r(t	GPE
ejpam-5963	191	4	||p−	GPE
ejpam-5963	192	1	3	CARDINAL
ejpam-5963	193	1	2	CARDINAL
ejpam-5963	193	2	one	CARDINAL
ejpam-5963	196	1	step1	GPE
ejpam-5963	199	1	p)(t)|| ≤	ORG
ejpam-5963	199	2	10	CARDINAL
ejpam-5963	199	3	lψ	PERSON
ejpam-5963	201	1	step2	PERSON
ejpam-5963	201	2	g∗∗	ORG
ejpam-5963	201	3	γ(η	GPE
ejpam-5963	202	1	γ(η	GPE
ejpam-5963	203	1	γ(η	GPE
ejpam-5963	204	1	γ(η	GPE
ejpam-5963	205	1	ξ)(c1|r|+	LANGUAGE
ejpam-5963	206	1	ξ)(d1|r|+ d2|p|+	GPE
ejpam-5963	207	1	c3 + d3	ORG
ejpam-5963	207	2	a. ali et al	PERSON
ejpam-5963	208	1	j. pure	PERSON
ejpam-5963	208	2	18	CARDINAL
ejpam-5963	208	3	2	CARDINAL
ejpam-5963	208	4	2025	CARDINAL
ejpam-5963	208	5	5963 9	DATE
ejpam-5963	208	6	19	CARDINAL
ejpam-5963	208	7	g∗∗	ORG
ejpam-5963	210	1	∥g∗ 1(r	DATE
ejpam-5963	210	2	1(r	CARDINAL
ejpam-5963	210	3	γ(η	GPE
ejpam-5963	211	1	γ(η	GPE
ejpam-5963	214	1	− τη+ξ−1	GPE
ejpam-5963	215	1	∥g∗ 1(r	DATE
ejpam-5963	215	2	1(r	CARDINAL
ejpam-5963	215	3	∥g∗ 2(r	CARDINAL
ejpam-5963	215	4	2(r	CARDINAL
ejpam-5963	215	5	1	CARDINAL
ejpam-5963	215	6	1	CARDINAL
ejpam-5963	215	7	g∗∗	ORG
ejpam-5963	216	1	2	CARDINAL
ejpam-5963	216	2	one	CARDINAL
ejpam-5963	217	1	4	CARDINAL
ejpam-5963	220	1	10	CARDINAL
ejpam-5963	220	2	one	CARDINAL
ejpam-5963	220	3	p)(t)|| ≤	ORG
ejpam-5963	220	4	11	CARDINAL
ejpam-5963	220	5	∥g∗ 1(r	DATE
ejpam-5963	220	6	1(r	CARDINAL
ejpam-5963	220	7	γ(η	GPE
ejpam-5963	221	1	γ(η	GPE
ejpam-5963	222	1	γ(η	GPE
ejpam-5963	224	1	δ)η−1δξ−1∥f(δ	PRODUCT
ejpam-5963	224	2	γ(η	GPE
ejpam-5963	224	3	||p−	GPE
ejpam-5963	224	4	∥g∗ 1(r	DATE
ejpam-5963	224	5	1(r	CARDINAL
ejpam-5963	224	6	12	CARDINAL
ejpam-5963	224	7	∥g∗ 2(r	CARDINAL
ejpam-5963	224	8	2(r	CARDINAL
ejpam-5963	224	9	13	CARDINAL
ejpam-5963	224	10	a. ali et al	PERSON
ejpam-5963	225	1	j. pure	PERSON
ejpam-5963	225	2	18	CARDINAL
ejpam-5963	225	3	2	CARDINAL
ejpam-5963	225	4	2025	CARDINAL
ejpam-5963	225	5	5963 10	DATE
ejpam-5963	225	6	19	CARDINAL
ejpam-5963	225	7	12	CARDINAL
ejpam-5963	225	8	13	CARDINAL
ejpam-5963	225	9	ξ)(lf	ORG
ejpam-5963	226	1	14	CARDINAL
ejpam-5963	226	2	11	CARDINAL
ejpam-5963	226	3	14	CARDINAL
ejpam-5963	226	4	∥k(r	PERSON
ejpam-5963	226	5	ξ)∥(r	ORG
ejpam-5963	229	1	k	PERSON
ejpam-5963	229	2	2	CARDINAL
ejpam-5963	230	1	4	CARDINAL
ejpam-5963	230	2	2	CARDINAL
ejpam-5963	236	1	6	CARDINAL
ejpam-5963	236	2	2	CARDINAL
ejpam-5963	236	3	max	PERSON
ejpam-5963	236	4	0	CARDINAL
ejpam-5963	236	5	|fddηr(t)−	ORG
ejpam-5963	237	1	15	CARDINAL
ejpam-5963	237	2	2	CARDINAL
ejpam-5963	237	3	0	CARDINAL
ejpam-5963	237	4	15	CARDINAL
ejpam-5963	237	5	|(r	ORG
ejpam-5963	238	1	16	CARDINAL
ejpam-5963	238	2	15	CARDINAL
ejpam-5963	238	3	• |ω1(t)| ≤	QUANTITY
ejpam-5963	238	4	a. ali et al	PERSON
ejpam-5963	239	1	j. pure	PERSON
ejpam-5963	239	2	18	CARDINAL
ejpam-5963	239	3	2	CARDINAL
ejpam-5963	239	4	2025	CARDINAL
ejpam-5963	239	5	5963 11	DATE
ejpam-5963	239	6	19 •	CARDINAL
ejpam-5963	240	1	r(t	EVENT
ejpam-5963	240	2	p(t	PERSON
ejpam-5963	241	1	p(t	PERSON
ejpam-5963	243	1	17	CARDINAL
ejpam-5963	243	2	3	CARDINAL
ejpam-5963	243	3	15	CARDINAL
ejpam-5963	245	1	γ(η	GPE
ejpam-5963	245	2	δϵ1,∣∣∣∣p(t)−	ORG
ejpam-5963	245	3	γ(η	GPE
ejpam-5963	246	1	xi(δ	ORG
ejpam-5963	249	1	r(t	EVENT
ejpam-5963	249	2	p(t	PERSON
ejpam-5963	250	1	p(t	PERSON
ejpam-5963	251	1	ϕ(r	PERSON
ejpam-5963	252	1	lemma 2	ORG
ejpam-5963	255	1	γ(η	GPE
ejpam-5963	256	1	γ(η	GPE
ejpam-5963	259	1	γ(η	GPE
ejpam-5963	260	1	γ(η	GPE
ejpam-5963	262	1	now∣∣∣∣r(t)−	ORG
ejpam-5963	262	2	γ(η	GPE
ejpam-5963	262	3	γ(η	GPE
ejpam-5963	262	4	second	ORDINAL
ejpam-5963	262	5	model:∣∣∣∣p(t)−	WORK_OF_ART
ejpam-5963	263	1	γ(η	GPE
ejpam-5963	263	2	a. ali et al	PERSON
ejpam-5963	264	1	j. pure	PERSON
ejpam-5963	264	2	18	CARDINAL
ejpam-5963	264	3	2	CARDINAL
ejpam-5963	264	4	2025	CARDINAL
ejpam-5963	264	5	5963 12	CARDINAL
ejpam-5963	264	6	19	CARDINAL
ejpam-5963	264	7	5	CARDINAL
ejpam-5963	265	1	m1)-(m3	WORK_OF_ART
ejpam-5963	265	2	2	CARDINAL
ejpam-5963	267	1	r(t	EVENT
ejpam-5963	267	2	p(t	PERSON
ejpam-5963	267	3	p(t	PERSON
ejpam-5963	267	4	+ ϕ(r	PERSON
ejpam-5963	269	1	18	CARDINAL
ejpam-5963	269	2	18	CARDINAL
ejpam-5963	271	1	γ(η	GPE
ejpam-5963	271	2	τ(δ	ORG
ejpam-5963	271	3	κ(δ))dδ	GPE
ejpam-5963	271	4	κ(t	NORP
ejpam-5963	273	1	γ(η	GPE
ejpam-5963	273	2	τ(δ	ORG
ejpam-5963	273	3	κ(δ))dδ	GPE
ejpam-5963	274	1	+ ϕ(r	PERSON
ejpam-5963	276	1	γ(η	GPE
ejpam-5963	276	2	p(δ))dδ)−	ORG
ejpam-5963	276	3	γ(η	GPE
ejpam-5963	277	1	τ(δ	ORG
ejpam-5963	277	2	κ(δ))dδ	GPE
ejpam-5963	277	3	∣∣∣∣r(t)−	NORP
ejpam-5963	279	1	γ(η	GPE
ejpam-5963	282	1	γ(η	GPE
ejpam-5963	282	2	p(δ))dδ)| − (	ORG
ejpam-5963	284	1	γ(η	GPE
ejpam-5963	284	2	τ(δ	ORG
ejpam-5963	286	1	τ(δ	ORG
ejpam-5963	287	1	|p(t)−	PRODUCT
ejpam-5963	287	2	1−	TIME
ejpam-5963	288	1	|p(t)−	ORG
ejpam-5963	288	2	1−	CARDINAL
ejpam-5963	289	1	19	CARDINAL
ejpam-5963	289	2	|p(t)−	ORG
ejpam-5963	290	1	1−	TIME
ejpam-5963	292	1	20	CARDINAL
ejpam-5963	292	2	a. ali et al	PERSON
ejpam-5963	293	1	j. pure	PERSON
ejpam-5963	293	2	18	CARDINAL
ejpam-5963	293	3	2	CARDINAL
ejpam-5963	293	4	2025	CARDINAL
ejpam-5963	293	5	5963 13	DATE
ejpam-5963	293	6	19	CARDINAL
ejpam-5963	293	7	1	CARDINAL
ejpam-5963	293	8	1	CARDINAL
ejpam-5963	293	9	− τ | |p−	PERSON
ejpam-5963	293	10	c1 = δ 1−(lϕ+δlf	PERSON
ejpam-5963	293	11	1−(lψ+δlg	CARDINAL
ejpam-5963	294	1	− τ	PERSON
ejpam-5963	295	1	1−	TIME
ejpam-5963	296	1	1−	TIME
ejpam-5963	296	2	21	CARDINAL
ejpam-5963	296	3	1−	TIME
ejpam-5963	296	4	22	CARDINAL
ejpam-5963	296	5	21	CARDINAL
ejpam-5963	296	6	22	CARDINAL
ejpam-5963	298	1	1−	TIME
ejpam-5963	298	2	1−	TIME
ejpam-5963	299	1	1−	TIME
ejpam-5963	300	1	1−	TIME
ejpam-5963	301	1	1−	TIME
ejpam-5963	301	2	|(r	ORG
ejpam-5963	301	3	23	CARDINAL
ejpam-5963	301	4	1−	TIME
ejpam-5963	301	5	2	CARDINAL
ejpam-5963	302	1	2	CARDINAL
ejpam-5963	302	2	0	CARDINAL
ejpam-5963	302	3	1	CARDINAL
ejpam-5963	302	4	0,∞	DATE
ejpam-5963	304	1	0	CARDINAL
ejpam-5963	305	1	24	CARDINAL
ejpam-5963	305	2	2	CARDINAL
ejpam-5963	305	3	1	CARDINAL
ejpam-5963	305	4	2	CARDINAL
ejpam-5963	305	5	4	CARDINAL
ejpam-5963	306	1	r(t	EVENT
ejpam-5963	306	2	p(t	PERSON
ejpam-5963	307	1	p(t	PERSON
ejpam-5963	308	1	following:∣∣∣∣r(t)−	ORG
ejpam-5963	310	1	γ(η	GPE
ejpam-5963	310	2	λ1nb1(t)ϵ1,∣∣∣∣p(t)−	ORG
ejpam-5963	310	3	γ(η	GPE
ejpam-5963	312	1	25	CARDINAL
ejpam-5963	312	2	a. ali et al	PERSON
ejpam-5963	313	1	j. pure	PERSON
ejpam-5963	313	2	18	CARDINAL
ejpam-5963	313	3	2	CARDINAL
ejpam-5963	313	4	2025	CARDINAL
ejpam-5963	313	5	5963 14	DATE
ejpam-5963	313	6	19	CARDINAL
ejpam-5963	314	1	4	CARDINAL
ejpam-5963	314	2	3	CARDINAL
ejpam-5963	314	3	6	CARDINAL
ejpam-5963	315	1	m1)-(m3	WORK_OF_ART
ejpam-5963	315	2	4	CARDINAL
ejpam-5963	318	1	+ ϕ(r	PERSON
ejpam-5963	320	1	γ(η	GPE
ejpam-5963	320	2	p(δ))dδ)−	ORG
ejpam-5963	320	3	γ(η	GPE
ejpam-5963	321	1	τ(δ	ORG
ejpam-5963	321	2	κ(δ))dδ	GPE
ejpam-5963	321	3	∣∣∣∣r(t)−	NORP
ejpam-5963	323	1	γ(η	GPE
ejpam-5963	326	1	γ(η	GPE
ejpam-5963	326	2	p(δ))dδ)| − (	ORG
ejpam-5963	328	1	γ(η	GPE
ejpam-5963	328	2	τ(δ	ORG
ejpam-5963	329	1	− ϕ(t	PERSON
ejpam-5963	329	2	β(η	PRODUCT
ejpam-5963	329	3	τ(δ	ORG
ejpam-5963	329	4	λinb1(t)ϵ1 +	GPE
ejpam-5963	329	5	|p(t)−	ORG
ejpam-5963	330	1	1−	TIME
ejpam-5963	331	1	|p(t)−	PRODUCT
ejpam-5963	332	1	26	CARDINAL
ejpam-5963	332	2	|p(t)−	ORG
ejpam-5963	333	1	1−	TIME
ejpam-5963	335	1	27	CARDINAL
ejpam-5963	335	2	26	CARDINAL
ejpam-5963	335	3	27	CARDINAL
ejpam-5963	335	4	1	CARDINAL
ejpam-5963	335	5	1	CARDINAL
ejpam-5963	335	6	− τ | |p−	PERSON
ejpam-5963	335	7	|(r	ORG
ejpam-5963	335	8	28	CARDINAL
ejpam-5963	335	9	1−	TIME
ejpam-5963	335	10	2	CARDINAL
ejpam-5963	336	1	1−	TIME
ejpam-5963	336	2	a. ali et al	PERSON
ejpam-5963	337	1	j. pure	PERSON
ejpam-5963	337	2	18	CARDINAL
ejpam-5963	337	3	2	CARDINAL
ejpam-5963	337	4	2025	CARDINAL
ejpam-5963	337	5	5963 15	CARDINAL
ejpam-5963	338	1	29	CARDINAL
ejpam-5963	338	2	2	CARDINAL
ejpam-5963	339	1	5	CARDINAL
ejpam-5963	342	1	1	CARDINAL
ejpam-5963	343	1	0	CARDINAL
ejpam-5963	343	2	follows	GPE
ejpam-5963	344	1	42	CARDINAL
ejpam-5963	346	1	t3	ORG
ejpam-5963	346	2	75 + e−tcos|r(t)|	DATE
ejpam-5963	346	3	39	CARDINAL
ejpam-5963	347	1	3 73	CARDINAL
ejpam-5963	347	2	76	DATE
ejpam-5963	348	1	17	CARDINAL
ejpam-5963	348	2	45	CARDINAL
ejpam-5963	348	3	30	CARDINAL
ejpam-5963	348	4	30	CARDINAL
ejpam-5963	349	1	42	CARDINAL
ejpam-5963	349	2	g(t	NORP
ejpam-5963	351	1	t3	ORG
ejpam-5963	351	2	76	DATE
ejpam-5963	352	1	45	CARDINAL
ejpam-5963	353	1	30	CARDINAL
ejpam-5963	353	2	1 76	DATE
ejpam-5963	353	3	1 45	DATE
ejpam-5963	354	1	1 500	CARDINAL
ejpam-5963	354	2	1 42d1	CARDINAL
ejpam-5963	354	3	1 400	CARDINAL
ejpam-5963	354	4	1 75	CARDINAL
ejpam-5963	354	5	1 500	CARDINAL
ejpam-5963	354	6	1 400	CARDINAL
ejpam-5963	355	1	1 45	DATE
ejpam-5963	355	2	1	CARDINAL
ejpam-5963	355	3	2	DATE
ejpam-5963	355	4	30	CARDINAL
ejpam-5963	355	5	at least one	CARDINAL
ejpam-5963	357	1	1 45	DATE
ejpam-5963	357	2	1 500	CARDINAL
ejpam-5963	357	3	η	ORG
ejpam-5963	357	4	1	CARDINAL
ejpam-5963	357	5	31	CARDINAL
ejpam-5963	357	6	η	ORG
ejpam-5963	357	7	1	CARDINAL
ejpam-5963	357	8	∈	ORG
ejpam-5963	357	9	0	CARDINAL
ejpam-5963	357	10	1	CARDINAL
ejpam-5963	357	11	a. ali et al	PERSON
ejpam-5963	358	1	j. pure	PERSON
ejpam-5963	358	2	18	CARDINAL
ejpam-5963	358	3	2	CARDINAL
ejpam-5963	358	4	2025	CARDINAL
ejpam-5963	358	5	5963 16	CARDINAL
ejpam-5963	358	6	19	CARDINAL
ejpam-5963	358	7	1	CARDINAL
ejpam-5963	358	8	η	GPE
ejpam-5963	358	9	1	CARDINAL
ejpam-5963	358	10	2	CARDINAL
ejpam-5963	359	1	1	CARDINAL
ejpam-5963	359	2	η	ORG
ejpam-5963	359	3	0	CARDINAL
ejpam-5963	359	4	1	CARDINAL
ejpam-5963	359	5	1	CARDINAL
ejpam-5963	359	6	31	CARDINAL
ejpam-5963	359	7	η	ORG
ejpam-5963	359	8	∈	ORG
ejpam-5963	359	9	0	CARDINAL
ejpam-5963	359	10	1	CARDINAL
ejpam-5963	360	1	30	CARDINAL
ejpam-5963	361	1	30	CARDINAL
ejpam-5963	362	1	30	CARDINAL
ejpam-5963	363	1	0	CARDINAL
ejpam-5963	363	2	1	CARDINAL
ejpam-5963	364	1	6	CARDINAL
ejpam-5963	365	1	fpt	CARDINAL
ejpam-5963	371	1	prince sultan university	ORG
ejpam-5963	371	2	apc	ORG
ejpam-5963	372	1	a. ali et al	PERSON
ejpam-5963	373	1	j. pure	PERSON
ejpam-5963	373	2	18	CARDINAL
ejpam-5963	373	3	2	CARDINAL
ejpam-5963	373	4	2025	CARDINAL
ejpam-5963	373	5	5963 17	DATE
ejpam-5963	373	6	19	CARDINAL
ejpam-5963	374	1	1	CARDINAL
ejpam-5963	374	2	hongguang sun	PERSON
ejpam-5963	374	3	yong zhang	PERSON
ejpam-5963	374	4	dumitru baleanu	PERSON
ejpam-5963	374	5	wen chen	PERSON
ejpam-5963	374	6	yangquan chen	PERSON
ejpam-5963	376	1	64:213–231	CARDINAL
ejpam-5963	376	2	2018	DATE
ejpam-5963	377	1	2	CARDINAL
ejpam-5963	377	2	kai diethelm	GPE
ejpam-5963	377	3	enrico scalas	ORG
ejpam-5963	377	4	juan j trujillo	PERSON
ejpam-5963	377	5	3	CARDINAL
ejpam-5963	377	6	2012	DATE
ejpam-5963	378	1	3	CARDINAL
ejpam-5963	378	2	daniel clemente-lópez	PERSON
ejpam-5963	378	3	jesus mmunoz-pacheco	PERSON
ejpam-5963	378	4	ernesto zambrano-serrano	PERSON
ejpam-5963	378	5	olga g	PERSON
ejpam-5963	378	6	jose de jesus rangel-magdaleno	PERSON
ejpam-5963	379	1	linear	ORG
ejpam-5963	380	1	8(7):389	CARDINAL
ejpam-5963	380	2	2024	DATE
ejpam-5963	381	1	4	CARDINAL
ejpam-5963	381	2	jorge manuel	PERSON
ejpam-5963	381	3	roberto baeza-serrato	PERSON
ejpam-5963	381	4	leonardo mart́ınezjiménez	PERSON
ejpam-5963	383	1	8(4):212	CARDINAL
ejpam-5963	383	2	2024	DATE
ejpam-5963	384	1	5	CARDINAL
ejpam-5963	384	2	wei ding	PERSON
ejpam-5963	384	3	sansit patnaik	PERSON
ejpam-5963	384	4	sai sidhardh	PERSON
ejpam-5963	384	5	fabio semperlotti	PERSON
ejpam-5963	386	1	23(1):110	CARDINAL
ejpam-5963	386	2	2021	DATE
ejpam-5963	387	1	6	CARDINAL
ejpam-5963	387	2	muhammad aslam	PERSON
ejpam-5963	387	3	altaf hussain rajpar	PERSON
ejpam-5963	387	4	yu-ming chu	PERSON
ejpam-5963	387	5	sina etemad	PERSON
ejpam-5963	387	6	shahram rezapour	PERSON
ejpam-5963	387	7	hijaz ahmad	PERSON
ejpam-5963	389	1	32(02):2440015	CARDINAL
ejpam-5963	389	2	2024	DATE
ejpam-5963	390	1	7	CARDINAL
ejpam-5963	390	2	abdelhamid mohammed djaouti	PERSON
ejpam-5963	390	3	zareen	GPE
ejpam-5963	390	4	khan	GPE
ejpam-5963	390	5	muhammad imran liaqat	PERSON
ejpam-5963	390	6	ashraf al-quran	PERSON
ejpam-5963	391	1	caputo-katugampola	ORG
ejpam-5963	392	1	2024	DATE
ejpam-5963	393	1	8	CARDINAL
ejpam-5963	393	2	khan	GPE
ejpam-5963	393	3	saim ahmed	PERSON
ejpam-5963	393	4	jehad alzabut	PERSON
ejpam-5963	393	5	ahmad taher azar	PERSON
ejpam-5963	395	1	174:113901	CARDINAL
ejpam-5963	395	2	2023	CARDINAL
ejpam-5963	396	1	9	CARDINAL
ejpam-5963	396	2	mohammed ka kaabar	PERSON
ejpam-5963	397	1	second	ORDINAL
ejpam-5963	398	1	8(8):466	CARDINAL
ejpam-5963	398	2	2024	DATE
ejpam-5963	399	1	10	CARDINAL
ejpam-5963	399	2	abdon atangana	PERSON
ejpam-5963	401	1	2017	DATE
ejpam-5963	402	1	11	CARDINAL
ejpam-5963	402	2	markus j kloker	PERSON
ejpam-5963	404	1	59:353–377, 1997	DATE
ejpam-5963	405	1	12	CARDINAL
ejpam-5963	405	2	bruce j west.	PERSON
ejpam-5963	407	1	1:12, 2010	DATE
ejpam-5963	408	1	a. ali et al	PERSON
ejpam-5963	409	1	j. pure	PERSON
ejpam-5963	409	2	18	CARDINAL
ejpam-5963	409	3	2	CARDINAL
ejpam-5963	409	4	2025	CARDINAL
ejpam-5963	409	5	5963 18 of 19	DATE
ejpam-5963	409	6	13	CARDINAL
ejpam-5963	409	7	sonam khera	PERSON
ejpam-5963	411	1	phd thesis	PERSON
ejpam-5963	411	2	jc bose university	ORG
ejpam-5963	411	3	2021	CARDINAL
ejpam-5963	412	1	14	CARDINAL
ejpam-5963	412	2	yihong zheng	PERSON
ejpam-5963	412	3	zhiqun hu	PERSON
ejpam-5963	412	4	zhaoming lu	PERSON
ejpam-5963	412	5	luhan wang	PERSON
ejpam-5963	412	6	wei zheng	PERSON
ejpam-5963	413	1	oam	PRODUCT
ejpam-5963	414	1	2024	CARDINAL
ejpam-5963	414	2	1–6	CARDINAL
ejpam-5963	414	3	ieee	ORG
ejpam-5963	414	4	2024	DATE
ejpam-5963	415	1	15	CARDINAL
ejpam-5963	415	2	muhammad sarwar	PERSON
ejpam-5963	415	3	aiman mukheimer	PERSON
ejpam-5963	415	4	syed khayyam shah	PERSON
ejpam-5963	415	5	arshad khan	PERSON
ejpam-5963	417	1	2024	DATE
ejpam-5963	418	1	16	CARDINAL
ejpam-5963	418	2	mohammed althubyani	PERSON
ejpam-5963	418	3	sayed saber	PERSON
ejpam-5963	420	1	9(3):158	CARDINAL
ejpam-5963	420	2	2025	DATE
ejpam-5963	421	1	17	CARDINAL
ejpam-5963	421	2	zoubir dahmani	PERSON
ejpam-5963	421	3	jehad alzabut	PERSON
ejpam-5963	421	4	dk almutairi	PERSON
ejpam-5963	421	5	khan	GPE
ejpam-5963	423	1	alexandria engineering journal	ORG
ejpam-5963	423	2	113:516–534	CARDINAL
ejpam-5963	423	3	2025	DATE
ejpam-5963	424	1	18	CARDINAL
ejpam-5963	424	2	tao yan	PERSON
ejpam-5963	424	3	mukhtar y youssif	PERSON
ejpam-5963	424	4	abdulrahman f aljohani	PERSON
ejpam-5963	424	5	sayed saber	PERSON
ejpam-5963	426	1	28(6	CARDINAL
ejpam-5963	426	2	2024	DATE
ejpam-5963	427	1	19	CARDINAL
ejpam-5963	427	2	juan carlos	PERSON
ejpam-5963	428	1	atlantic	LOC
ejpam-5963	428	2	brazil	GPE
ejpam-5963	429	1	phd thesis	PERSON
ejpam-5963	429	2	bonn	GPE
ejpam-5963	429	3	2006	DATE
ejpam-5963	430	1	20	CARDINAL
ejpam-5963	430	2	steven m smith	PERSON
ejpam-5963	432	1	bradford books,	ORG
ejpam-5963	432	2	1992	DATE
ejpam-5963	433	1	21	CARDINAL
ejpam-5963	433	2	fouad ibrahim abdou amir	PERSON
ejpam-5963	433	3	aziz el ghazouani	PERSON
ejpam-5963	433	4	m’hamed el omari	PERSON
ejpam-5963	433	5	melliani	PERSON
ejpam-5963	434	1	the scientific world journal	ORG
ejpam-5963	434	2	2024(1):9993669	CARDINAL
ejpam-5963	434	3	2024	DATE
ejpam-5963	435	1	22	CARDINAL
ejpam-5963	435	2	benoumran telli	PERSON
ejpam-5963	435	3	mohammed	PERSON
ejpam-5963	435	4	jehad alzabut	PERSON
ejpam-5963	435	5	khan	GPE
ejpam-5963	437	1	2023	CARDINAL
ejpam-5963	438	1	23	CARDINAL
ejpam-5963	438	2	xiaojun lv	GPE
ejpam-5963	438	3	kaihong zhao	PERSON
ejpam-5963	438	4	xie	PERSON
ejpam-5963	440	1	16(6):774	CARDINAL
ejpam-5963	440	2	2024	DATE
ejpam-5963	441	1	24	CARDINAL
ejpam-5963	441	2	shahid khan	PERSON
ejpam-5963	441	3	kamal shah	PERSON
ejpam-5963	441	4	amar debbouche	PERSON
ejpam-5963	441	5	salman zeb	PERSON
ejpam-5963	441	6	valery antonov	PERSON
ejpam-5963	442	1	physica scripta	PERSON
ejpam-5963	442	2	99(2):025225	CARDINAL
ejpam-5963	442	3	2024	DATE
ejpam-5963	443	1	25	CARDINAL
ejpam-5963	443	2	xiaojie xu	PERSON
ejpam-5963	443	3	daqing jiang	PERSON
ejpam-5963	443	4	chengjun yuan	ORG
ejpam-5963	445	1	71(10):4676–4688, 2009	DATE
ejpam-5963	446	1	26	CARDINAL
ejpam-5963	446	2	kamal shah	PERSON
ejpam-5963	446	3	amjad ali	PERSON
ejpam-5963	446	4	ali khan	PERSON
ejpam-5963	447	1	2016:1–12	CARDINAL
ejpam-5963	447	2	2016	DATE
ejpam-5963	448	1	27	CARDINAL
ejpam-5963	448	2	jinhua wang	GPE
ejpam-5963	448	3	hongjun xiang	PERSON
ejpam-5963	448	4	zhigang liu	PERSON
ejpam-5963	450	1	2010(1):186928, 2010	DATE
ejpam-5963	451	1	a. ali et al	PERSON
ejpam-5963	452	1	j. pure	PERSON
ejpam-5963	452	2	18	CARDINAL
ejpam-5963	452	3	2	CARDINAL
ejpam-5963	452	4	2025	CARDINAL
ejpam-5963	452	5	5963 19	DATE
ejpam-5963	453	1	28	CARDINAL
ejpam-5963	453	2	wengui yang	PERSON
ejpam-5963	455	1	63(1):288–297, 2012	DATE
ejpam-5963	456	1	29	CARDINAL
ejpam-5963	456	2	maria meehan	PERSON
ejpam-5963	456	3	donal o’regan	PERSON
ejpam-5963	456	4	141	CARDINAL
ejpam-5963	457	1	cambridge university press	ORG
ejpam-5963	457	2	2001	DATE
ejpam-5963	458	1	30	CARDINAL
ejpam-5963	458	2	ta burton	PERSON
ejpam-5963	458	3	tetsuo furumochi	PERSON
ejpam-5963	459	1	krasnoselskii	ORG
ejpam-5963	460	1	49(4):445–454, 2002	DATE