id	sid	eid	entity	type
ejpam-6198	1	1	european journal	ORG
ejpam-6198	1	2	2025	DATE
ejpam-6198	1	3	18	CARDINAL
ejpam-6198	1	4	4	CARDINAL
ejpam-6198	1	5	1307-5543	CARDINAL
ejpam-6198	1	6	new york	GPE
ejpam-6198	1	7	second	ORDINAL
ejpam-6198	1	8	muhammad zafarullah1	PERSON
ejpam-6198	1	9	ilyas khan2,3,4,∗	PERSON
ejpam-6198	1	10	kanwal abid5	PERSON
ejpam-6198	1	11	muhammad jamil1,6	PERSON
ejpam-6198	1	12	a. b.	PERSON
ejpam-6198	2	1	n. alharthi7	PERSON
ejpam-6198	2	2	a. f. aljohani8	PERSON
ejpam-6198	2	3	wei sin koh9	PERSON
ejpam-6198	2	4	1	CARDINAL
ejpam-6198	2	5	university of karachi	ORG
ejpam-6198	2	6	karachi-75270	DATE
ejpam-6198	2	7	pakistan 2	ORG
ejpam-6198	2	8	majmaah university	ORG
ejpam-6198	2	9	al-majmaah 11952	PERSON
ejpam-6198	2	10	saudi arabia	GPE
ejpam-6198	2	11	al-ahliyya amman university	ORG
ejpam-6198	2	12	amman	GPE
ejpam-6198	2	13	jordan 4	ORG
ejpam-6198	2	14	chennai	GPE
ejpam-6198	2	15	tamil nadu	LOC
ejpam-6198	2	16	india	GPE
ejpam-6198	2	17	5	CARDINAL
ejpam-6198	2	18	jinnah university	ORG
ejpam-6198	2	19	karachi	GPE
ejpam-6198	2	20	74600	DATE
ejpam-6198	2	21	pakistan 6	ORG
ejpam-6198	2	22	university of engineering & technology	ORG
ejpam-6198	2	23	karachi-75270	DATE
ejpam-6198	2	24	pakistan 7	ORG
ejpam-6198	2	25	university of bisha	ORG
ejpam-6198	2	26	p.o.	GPE
ejpam-6198	2	27	551	CARDINAL
ejpam-6198	2	28	61922	DATE
ejpam-6198	2	29	saudi arabia	GPE
ejpam-6198	2	30	8	CARDINAL
ejpam-6198	2	31	saudi arabia	GPE
ejpam-6198	2	32	9	CARDINAL
ejpam-6198	2	33	inti international university	ORG
ejpam-6198	2	34	perdana bbn putra nilai	ORG
ejpam-6198	2	35	71800	CARDINAL
ejpam-6198	2	36	negeri sembilan	PERSON
ejpam-6198	2	37	malaysia	GPE
ejpam-6198	3	1	second	ORDINAL
ejpam-6198	4	1	between two	CARDINAL
ejpam-6198	5	1	second	ORDINAL
ejpam-6198	11	1	second	ORDINAL
ejpam-6198	12	1	2020	DATE
ejpam-6198	12	2	76a05	CARDINAL
ejpam-6198	12	3	76s05	CARDINAL
ejpam-6198	12	4	26a33	CARDINAL
ejpam-6198	12	5	35r11	DATE
ejpam-6198	12	6	35a22	CARDINAL
ejpam-6198	12	7	second	ORDINAL
ejpam-6198	12	8	mhd	ORG
ejpam-6198	12	9	abc fractional derivatives	ORG
ejpam-6198	14	1	https://doi.org/10.29020/nybg.ejpam.v18i4.6198	PERSON
ejpam-6198	14	2	i.said@mu.edu.sa	GPE
ejpam-6198	14	3	i. khan	PERSON
ejpam-6198	14	4	a.albedah@mu.edu.sa	PERSON
ejpam-6198	14	5	a. b. albidah	PERSON
ejpam-6198	15	1	1	CARDINAL
ejpam-6198	15	2	2025	CARDINAL
ejpam-6198	16	1	m. zafarullah et al	PERSON
ejpam-6198	17	1	j. pure	PERSON
ejpam-6198	17	2	18	CARDINAL
ejpam-6198	17	3	4	CARDINAL
ejpam-6198	17	4	2025	CARDINAL
ejpam-6198	17	5	6198 2	DATE
ejpam-6198	17	6	41 1	CARDINAL
ejpam-6198	18	1	the last decade	DATE
ejpam-6198	20	1	ross	PERSON
ejpam-6198	20	2	fractional integro-differentiation	ORG
ejpam-6198	20	3	euler	PERSON
ejpam-6198	20	4	lacroix	PERSON
ejpam-6198	20	5	1900	DATE
ejpam-6198	22	1	riemann liouville fractional integral	ORG
ejpam-6198	23	1	bertram ross	PERSON
ejpam-6198	23	2	first	ORDINAL
ejpam-6198	23	3	the university of new haven	ORG
ejpam-6198	23	4	mid of 1974	DATE
ejpam-6198	23	5	the same year	DATE
ejpam-6198	23	6	oldham	GPE
ejpam-6198	23	7	first	ORDINAL
ejpam-6198	23	8	first	ORDINAL
ejpam-6198	24	1	machado	ORG
ejpam-6198	24	2	1974	DATE
ejpam-6198	25	1	caputo	PERSON
ejpam-6198	26	1	first	ORDINAL
ejpam-6198	26	2	second	ORDINAL
ejpam-6198	26	3	riemann-liouville	ORG
ejpam-6198	27	1	first	ORDINAL
ejpam-6198	27	2	caputo abc fractional	ORG
ejpam-6198	28	1	baleanu caputo abc fractional differential operator	ORG
ejpam-6198	28	2	second	ORDINAL
ejpam-6198	28	3	caputo	PERSON
ejpam-6198	28	4	riemann-liouville	PERSON
ejpam-6198	28	5	caputo	PERSON
ejpam-6198	28	6	zero	CARDINAL
ejpam-6198	32	1	sania	ORG
ejpam-6198	32	2	caputo	PERSON
ejpam-6198	33	1	hongguang et al.[3	ORG
ejpam-6198	33	2	m. zafarullah et al	PERSON
ejpam-6198	34	1	j. pure	PERSON
ejpam-6198	34	2	18	CARDINAL
ejpam-6198	34	3	4	CARDINAL
ejpam-6198	34	4	2025	CARDINAL
ejpam-6198	34	5	6198 3	DATE
ejpam-6198	34	6	41	CARDINAL
ejpam-6198	36	1	k sρz(ρ	FAC
ejpam-6198	38	1	sρθ(ρ	GPE
ejpam-6198	40	1	σ	ORG
ejpam-6198	40	2	t abc fractional operator	ORG
ejpam-6198	40	3	[kg/m3	QUANTITY
ejpam-6198	40	4	ω	CARDINAL
ejpam-6198	40	5	ω gm	ORG
ejpam-6198	40	6	ω ν = η/ϱ	MONEY
ejpam-6198	41	1	faraz	PERSON
ejpam-6198	41	2	modern day	DATE
ejpam-6198	41	3	covid-19	DATE
ejpam-6198	42	1	anwar et al.[12	PERSON
ejpam-6198	43	1	anwar et al.[13	PERSON
ejpam-6198	46	1	kiryakova[19	ORG
ejpam-6198	46	2	meijer g-function	PERSON
ejpam-6198	46	3	wright	PERSON
ejpam-6198	47	1	mathai et al.[20	PERSON
ejpam-6198	49	1	ali et	PERSON
ejpam-6198	49	2	φ(a	ORG
ejpam-6198	52	1	j. pure	PERSON
ejpam-6198	52	2	18	CARDINAL
ejpam-6198	52	3	4	CARDINAL
ejpam-6198	52	4	2025	CARDINAL
ejpam-6198	52	5	6198 4	DATE
ejpam-6198	52	6	41	CARDINAL
ejpam-6198	52	7	wright generalized hypergeometric function	PERSON
ejpam-6198	52	8	fox h-function	ORG
ejpam-6198	53	1	jamil et al.[24	PERSON
ejpam-6198	53	2	mhd maxwell	PERSON
ejpam-6198	53	3	wright	PERSON
ejpam-6198	55	1	wright	PERSON
ejpam-6198	56	1	1	CARDINAL
ejpam-6198	56	2	26	CARDINAL
ejpam-6198	57	1	bayat et al.[27	PERSON
ejpam-6198	59	1	alharbi et al.[28	PERSON
ejpam-6198	60	1	bingham	GPE
ejpam-6198	61	1	worku	PERSON
ejpam-6198	62	1	jamil	PERSON
ejpam-6198	62	2	kamran	PERSON
ejpam-6198	62	3	maxwell	ORG
ejpam-6198	62	4	two	CARDINAL
ejpam-6198	62	5	ga	ORG
ejpam-6198	63	1	m. zafarullah et al	PERSON
ejpam-6198	64	1	j. pure	PERSON
ejpam-6198	64	2	18	CARDINAL
ejpam-6198	64	3	4	CARDINAL
ejpam-6198	64	4	2025	CARDINAL
ejpam-6198	64	5	6198 5	DATE
ejpam-6198	64	6	41	CARDINAL
ejpam-6198	66	1	two	CARDINAL
ejpam-6198	67	1	jamil	PERSON
ejpam-6198	67	2	second	ORDINAL
ejpam-6198	68	1	jamil et al.[24	PERSON
ejpam-6198	68	2	maxwell	ORG
ejpam-6198	71	1	liu	PERSON
ejpam-6198	72	1	cai et al.[35	PERSON
ejpam-6198	73	1	mochalin	PERSON
ejpam-6198	74	1	second	ORDINAL
ejpam-6198	74	2	two	CARDINAL
ejpam-6198	75	1	two	CARDINAL
ejpam-6198	76	1	one	CARDINAL
ejpam-6198	76	2	baleanu caputo	PERSON
ejpam-6198	76	3	abc	ORG
ejpam-6198	77	1	abc	ORG
ejpam-6198	77	2	the last few years	DATE
ejpam-6198	78	1	generalized ma	PERSON
ejpam-6198	78	2	wright	PERSON
ejpam-6198	83	1	second	ORDINAL
ejpam-6198	84	1	m. zafarullah et al	PERSON
ejpam-6198	85	1	j. pure	PERSON
ejpam-6198	85	2	18	CARDINAL
ejpam-6198	85	3	4	CARDINAL
ejpam-6198	85	4	2025	CARDINAL
ejpam-6198	85	5	6198 6	DATE
ejpam-6198	85	6	41 2	CARDINAL
ejpam-6198	85	7	second	ORDINAL
ejpam-6198	85	8	two	CARDINAL
ejpam-6198	86	1	∂2	CARDINAL
ejpam-6198	87	1	w(ρ	DATE
ejpam-6198	87	2	w(ρ	DATE
ejpam-6198	87	3	ρ ∈	PERSON
ejpam-6198	87	4	0	CARDINAL
ejpam-6198	87	5	1	CARDINAL
ejpam-6198	87	6	v(ρ	PERSON
ejpam-6198	88	1	∂2	CARDINAL
ejpam-6198	89	1	ρ ∈	PERSON
ejpam-6198	90	1	0	CARDINAL
ejpam-6198	90	2	2	CARDINAL
ejpam-6198	90	3	w(ρ	DATE
ejpam-6198	90	4	3	CARDINAL
ejpam-6198	90	5	4	CARDINAL
ejpam-6198	90	6	τ(w	PERSON
ejpam-6198	91	1	τ(v	ORG
ejpam-6198	93	1	abc	ORG
ejpam-6198	93	2	second	ORDINAL
ejpam-6198	94	1	∂2	CARDINAL
ejpam-6198	95	1	w(ρ	DATE
ejpam-6198	95	2	t ) w(ρ	DATE
ejpam-6198	95	3	5	CARDINAL
ejpam-6198	95	4	0	CARDINAL
ejpam-6198	95	5	m. zafarullah et al	PERSON
ejpam-6198	96	1	j. pure	PERSON
ejpam-6198	96	2	18	CARDINAL
ejpam-6198	96	3	4	CARDINAL
ejpam-6198	96	4	2025	CARDINAL
ejpam-6198	96	5	6198 7	DATE
ejpam-6198	96	6	∂2	CARDINAL
ejpam-6198	97	1	t ) v(ρ	DATE
ejpam-6198	97	2	6	CARDINAL
ejpam-6198	97	3	0	CARDINAL
ejpam-6198	97	4	sρθ(ρ	GPE
ejpam-6198	98	1	w(ρ	DATE
ejpam-6198	98	2	7	CARDINAL
ejpam-6198	98	3	second	ORDINAL
ejpam-6198	98	4	gm	ORG
ejpam-6198	99	1	parameters[8	ORG
ejpam-6198	101	1	1	CARDINAL
ejpam-6198	101	2	second	ORDINAL
ejpam-6198	101	3	second	ORDINAL
ejpam-6198	102	1	3	CARDINAL
ejpam-6198	102	2	second	ORDINAL
ejpam-6198	102	3	0	CARDINAL
ejpam-6198	103	1	two π1	QUANTITY
ejpam-6198	104	1	1	CARDINAL
ejpam-6198	105	1	v1h(t	GPE
ejpam-6198	107	1	0	CARDINAL
ejpam-6198	108	1	w(ρ	DATE
ejpam-6198	108	2	+ v(ρ	GPE
ejpam-6198	108	3	9	CARDINAL
ejpam-6198	109	1	eqs	ORG
ejpam-6198	110	1	5 8)	CARDINAL
ejpam-6198	111	1	0	DATE
ejpam-6198	111	2	0	CARDINAL
ejpam-6198	111	3	ρ ∈	ORG
ejpam-6198	111	4	10	CARDINAL
ejpam-6198	111	5	0	DATE
ejpam-6198	111	6	0	CARDINAL
ejpam-6198	111	7	ρ ∈	ORG
ejpam-6198	111	8	11	CARDINAL
ejpam-6198	111	9	m. zafarullah et al	PERSON
ejpam-6198	112	1	j. pure	PERSON
ejpam-6198	112	2	18	CARDINAL
ejpam-6198	112	3	4	CARDINAL
ejpam-6198	112	4	2025	CARDINAL
ejpam-6198	112	5	6198 8	DATE
ejpam-6198	112	6	w(π1	ORG
ejpam-6198	112	7	12	CARDINAL
ejpam-6198	112	8	v(π1	GPE
ejpam-6198	112	9	13	CARDINAL
ejpam-6198	112	10	ρ ≥ 0	GPE
ejpam-6198	114	1	β(z	PERSON
ejpam-6198	114	2	β(z	PERSON
ejpam-6198	114	3	lorengo ga	PERSON
ejpam-6198	114	4	c(d	GPE
ejpam-6198	114	5	b(c	PERSON
ejpam-6198	117	1	40	CARDINAL
ejpam-6198	118	1	4	CARDINAL
ejpam-6198	118	2	4.1	CARDINAL
ejpam-6198	120	1	10	CARDINAL
ejpam-6198	120	2	eqs	ORG
ejpam-6198	121	1	5	CARDINAL
ejpam-6198	121	2	6	CARDINAL
ejpam-6198	121	3	13	CARDINAL
ejpam-6198	122	1	ν	NORP
ejpam-6198	122	2	∂2	CARDINAL
ejpam-6198	122	3	ν	NORP
ejpam-6198	122	4	ρ ∈	PERSON
ejpam-6198	122	5	14	CARDINAL
ejpam-6198	122	6	ν	NORP
ejpam-6198	122	7	∂2	CARDINAL
ejpam-6198	122	8	m. zafarullah et al	PERSON
ejpam-6198	123	1	j. pure	PERSON
ejpam-6198	123	2	18	CARDINAL
ejpam-6198	123	3	4	CARDINAL
ejpam-6198	123	4	2025	CARDINAL
ejpam-6198	123	5	6198 9	DATE
ejpam-6198	123	6	ν	NORP
ejpam-6198	123	7	ρ ∈	PERSON
ejpam-6198	124	1	15	CARDINAL
ejpam-6198	124	2	abc	ORG
ejpam-6198	124	3	ψ(η	GPE
ejpam-6198	125	1	sβ + a1	PERSON
ejpam-6198	125	2	1 1−	TIME
ejpam-6198	126	1	v̄(ρ	WORK_OF_ART
ejpam-6198	126	2	w(ρ	DATE
ejpam-6198	126	3	v(ρ	GPE
ejpam-6198	127	1	w̄(π2	ORG
ejpam-6198	127	2	16	CARDINAL
ejpam-6198	127	3	17	CARDINAL
ejpam-6198	127	4	v̄(ρ	WORK_OF_ART
ejpam-6198	127	5	w̄h(ρn	GPE
ejpam-6198	128	1	ρn)dρ	ORG
ejpam-6198	128	2	18	CARDINAL
ejpam-6198	129	1	19	CARDINAL
ejpam-6198	129	2	j1(ρρn)y1(π2ρn)− j1(π2ρn)y1(ρρn	PERSON
ejpam-6198	129	3	20	CARDINAL
ejpam-6198	131	1	21	CARDINAL
ejpam-6198	131	2	1	CARDINAL
ejpam-6198	131	3	2	DATE
ejpam-6198	132	1	jp(.)and yp	PERSON
ejpam-6198	132	2	first	ORDINAL
ejpam-6198	132	3	second	ORDINAL
ejpam-6198	133	1	ρd1(ρ	NORP
ejpam-6198	133	2	ρd0(ρ	ORG
ejpam-6198	133	3	eqs	ORG
ejpam-6198	134	1	14	CARDINAL
ejpam-6198	134	2	15	CARDINAL
ejpam-6198	134	3	m. zafarullah et al	PERSON
ejpam-6198	135	1	j. pure	PERSON
ejpam-6198	135	2	18	CARDINAL
ejpam-6198	135	3	4	CARDINAL
ejpam-6198	135	4	2025	CARDINAL
ejpam-6198	135	5	6198 10	DATE
ejpam-6198	135	6	∂2	CARDINAL
ejpam-6198	136	1	−ρ2nw̄h(ρn	ORG
ejpam-6198	137	1	22	CARDINAL
ejpam-6198	137	2	∂2	CARDINAL
ejpam-6198	137	3	v̄(ρ	WORK_OF_ART
ejpam-6198	138	1	23	CARDINAL
ejpam-6198	139	1	2	CARDINAL
ejpam-6198	140	1	ν+αβa0	PERSON
ejpam-6198	140	2	sβ sβ+a1	PERSON
ejpam-6198	140	3	ν+αβa0	ORG
ejpam-6198	140	4	sβ sβ+a1	PERSON
ejpam-6198	142	1	24	CARDINAL
ejpam-6198	142	2	2	CARDINAL
ejpam-6198	142	3	v2g4(s)j0(π1ρm)−v1g3(s)j0(π2ρm	ORG
ejpam-6198	143	1	ν+αβa0	PERSON
ejpam-6198	143	2	sβ sβ+a1	PERSON
ejpam-6198	143	3	ν+αβa0	ORG
ejpam-6198	143	4	sβ sβ+a1	PERSON
ejpam-6198	143	5	sβ sβ+a1	PERSON
ejpam-6198	145	1	25	CARDINAL
ejpam-6198	145	2	v̄(ρ	WORK_OF_ART
ejpam-6198	145	3	firstly	ORDINAL
ejpam-6198	146	1	24	CARDINAL
ejpam-6198	146	2	25	CARDINAL
ejpam-6198	147	1	2	CARDINAL
ejpam-6198	147	2	1−	TIME
ejpam-6198	148	1	26	CARDINAL
ejpam-6198	148	2	2	CARDINAL
ejpam-6198	148	3	v2g4(s)j0(π1ρm)− v1g3(s)j0(π2ρm	PERSON
ejpam-6198	148	4	27	CARDINAL
ejpam-6198	148	5	m. zafarullah et al	PERSON
ejpam-6198	149	1	j. pure	PERSON
ejpam-6198	149	2	18	CARDINAL
ejpam-6198	149	3	4	CARDINAL
ejpam-6198	149	4	2025	CARDINAL
ejpam-6198	149	5	6198 11	DATE
ejpam-6198	149	6	41	CARDINAL
ejpam-6198	153	1	+gp	PERSON
ejpam-6198	153	2	w(ρ	DATE
ejpam-6198	154	1	2	CARDINAL
ejpam-6198	154	2	2 1	CARDINAL
ejpam-6198	154	3	π1ρn)d1(ρ	NORP
ejpam-6198	154	4	j2 1 (	ORG
ejpam-6198	154	5	j2 1 (	ORG
ejpam-6198	154	6	28) v(ρ	DATE
ejpam-6198	155	1	2 ∞∑ m=1 ρ2nj 2 0	DATE
ejpam-6198	155	2	ρm	ORG
ejpam-6198	155	3	0	CARDINAL
ejpam-6198	156	1	j2 0	ORG
ejpam-6198	156	2	29	CARDINAL
ejpam-6198	156	3	w(ρ	DATE
ejpam-6198	157	1	2 2	CARDINAL
ejpam-6198	158	1	2	CARDINAL
ejpam-6198	158	2	1	CARDINAL
ejpam-6198	158	3	2	CARDINAL
ejpam-6198	158	4	j1(π1ρn)d1(ρ	CARDINAL
ejpam-6198	158	5	j2 1 (	ORG
ejpam-6198	158	6	j2 1 (	ORG
ejpam-6198	158	7	30	CARDINAL
ejpam-6198	159	1	1− ξm	TIME
ejpam-6198	159	2	ρm	ORG
ejpam-6198	159	3	0	CARDINAL
ejpam-6198	160	1	j2 0	ORG
ejpam-6198	161	1	31	CARDINAL
ejpam-6198	161	2	m. zafarullah et al	PERSON
ejpam-6198	162	1	j. pure	PERSON
ejpam-6198	162	2	18	CARDINAL
ejpam-6198	162	3	4	CARDINAL
ejpam-6198	162	4	2025	CARDINAL
ejpam-6198	162	5	6198 12	DATE
ejpam-6198	162	6	41	CARDINAL
ejpam-6198	162	7	eqs	ORG
ejpam-6198	163	1	30	CARDINAL
ejpam-6198	163	2	31	CARDINAL
ejpam-6198	163	3	1−	LANGUAGE
ejpam-6198	167	1	+ sβ+1)i	DATE
ejpam-6198	167	2	j!(i− j	PERSON
ejpam-6198	168	1	i− j	PERSON
ejpam-6198	170	1	j − k	PERSON
ejpam-6198	171	1	1 + νa1gp	QUANTITY
ejpam-6198	174	1	∞∑ k=0	PERSON
ejpam-6198	174	2	i− j	PERSON
ejpam-6198	175	1	j − k	PERSON
ejpam-6198	176	1	j!(i−	PERSON
ejpam-6198	178	1	νi−j(αβa0	PERSON
ejpam-6198	178	2	i− j	PERSON
ejpam-6198	180	1	j − k	PERSON
ejpam-6198	185	1	αβa0 ν	MONEY
ejpam-6198	185	2	j ∞∑ k=0	PERSON
ejpam-6198	185	3	i− j	PERSON
ejpam-6198	188	1	− k	PERSON
ejpam-6198	189	1	ak1 ∞∑	PERSON
ejpam-6198	192	1	32	CARDINAL
ejpam-6198	192	2	m. zafarullah et al	PERSON
ejpam-6198	193	1	j. pure	PERSON
ejpam-6198	193	2	18	CARDINAL
ejpam-6198	193	3	4	CARDINAL
ejpam-6198	193	4	2025	CARDINAL
ejpam-6198	193	5	6198 13	DATE
ejpam-6198	193	6	41	DATE
ejpam-6198	193	7	w(ρ	DATE
ejpam-6198	194	1	formula[41	ORG
ejpam-6198	196	1	ac−	PERSON
ejpam-6198	196	2	0	CARDINAL
ejpam-6198	196	3	0	CARDINAL
ejpam-6198	196	4	∣∣∣∣ dsa ∣∣∣∣	PERSON
ejpam-6198	196	5	1	CARDINAL
ejpam-6198	196	6	33	CARDINAL
ejpam-6198	197	1	j)t(c+j)a−b−1	ORG
ejpam-6198	198	1	34	CARDINAL
ejpam-6198	198	2	w(ρ	DATE
ejpam-6198	198	3	v(ρ	GPE
ejpam-6198	198	4	eqs	ORG
ejpam-6198	199	1	30	CARDINAL
ejpam-6198	199	2	31	CARDINAL
ejpam-6198	201	1	αβa0 ν	MONEY
ejpam-6198	201	2	j ∞∑ k=0	PERSON
ejpam-6198	201	3	i− j	PERSON
ejpam-6198	204	1	− k	PERSON
ejpam-6198	205	1	ak1 ∞∑	PERSON
ejpam-6198	208	1	ω	CARDINAL
ejpam-6198	209	1	w = h(t	ORG
ejpam-6198	209	2	2	CARDINAL
ejpam-6198	209	3	2	CARDINAL
ejpam-6198	209	4	2−π2 1	DATE
ejpam-6198	210	1	j2 1 (	ORG
ejpam-6198	210	2	j2 1 (	ORG
ejpam-6198	210	3	× ∞∑ i=0	ORG
ejpam-6198	213	1	u2j1(π1ρn)g2(t−	CARDINAL
ejpam-6198	213	2	35	CARDINAL
ejpam-6198	213	3	0	CARDINAL
ejpam-6198	214	1	j2 0	ORG
ejpam-6198	215	1	v2j0(π1ρm)g4(t− δ)− v2j0(π2ρm)g3(t− δ)]ω	PRODUCT
ejpam-6198	216	1	36	CARDINAL
ejpam-6198	216	2	m. zafarullah et al	PERSON
ejpam-6198	217	1	j. pure	PERSON
ejpam-6198	217	2	18	CARDINAL
ejpam-6198	217	3	4	CARDINAL
ejpam-6198	217	4	2025	CARDINAL
ejpam-6198	217	5	6198 14	DATE
ejpam-6198	217	6	41 4.2	CARDINAL
ejpam-6198	218	1	eqs	ORG
ejpam-6198	219	1	7	CARDINAL
ejpam-6198	219	2	8)	CARDINAL
ejpam-6198	219	3	37	CARDINAL
ejpam-6198	221	1	v̄(ρ	PRODUCT
ejpam-6198	221	2	38	CARDINAL
ejpam-6198	221	3	ρnd1(ρ	ORDINAL
ejpam-6198	221	4	1 ρ d1(ρ	QUANTITY
ejpam-6198	222	1	j1(ρρm)y0(π2ρm)− j0(π2ρm)y1(ρρm	PERSON
ejpam-6198	222	2	2 ρ d1(ρ	QUANTITY
ejpam-6198	222	3	ρn)− ρnd1(ρ	ORG
ejpam-6198	222	4	d̃0(ρ	PERSON
ejpam-6198	222	5	ρm	ORG
ejpam-6198	222	6	∂w̄(ρ	GPE
ejpam-6198	223	1	2 1	CARDINAL
ejpam-6198	223	2	2	CARDINAL
ejpam-6198	223	3	1)ρ 2 +	DATE
ejpam-6198	223	4	j2 1 (	ORG
ejpam-6198	223	5	j2 1 (	ORG
ejpam-6198	224	1	39	CARDINAL
ejpam-6198	224	2	∂v̄(ρ	ORG
ejpam-6198	224	3	m. zafarullah et al	PERSON
ejpam-6198	225	1	j. pure	PERSON
ejpam-6198	225	2	18	CARDINAL
ejpam-6198	225	3	4	CARDINAL
ejpam-6198	225	4	2025	CARDINAL
ejpam-6198	225	5	6198 15	DATE
ejpam-6198	225	6	ρm	ORG
ejpam-6198	225	7	0	CARDINAL
ejpam-6198	226	1	j2 0	ORG
ejpam-6198	226	2	v2g4(s)j0(π1ρm)− v1g3(s)j0(π2ρm	PERSON
ejpam-6198	226	3	40	CARDINAL
ejpam-6198	226	4	eqs.(26	DATE
ejpam-6198	226	5	27	CARDINAL
ejpam-6198	227	1	40	CARDINAL
ejpam-6198	227	2	eqs	ORG
ejpam-6198	228	1	37	CARDINAL
ejpam-6198	228	2	38	CARDINAL
ejpam-6198	228	3	sρθ(ρ	GPE
ejpam-6198	230	1	ν	NORP
ejpam-6198	230	2	j ∞∑ k=0	PERSON
ejpam-6198	230	3	i− j	PERSON
ejpam-6198	232	1	− k	PERSON
ejpam-6198	233	1	ak1 ∞∑	PERSON
ejpam-6198	237	1	sρθ(ρ	GPE
ejpam-6198	237	2	2h(t)π1π2	CARDINAL
ejpam-6198	237	3	2	CARDINAL
ejpam-6198	237	4	1)ρ 2	DATE
ejpam-6198	237	5	αβa0	PERSON
ejpam-6198	237	6	2	CARDINAL
ejpam-6198	237	7	1)ρ 2	DATE
ejpam-6198	238	1	u2π1g2(t−	CARDINAL
ejpam-6198	240	1	j2 1 (	ORG
ejpam-6198	240	2	j2 1 (	ORG
ejpam-6198	240	3	× ∞∑ i=0	ORG
ejpam-6198	243	1	u2j1(π1ρn)g2(t−	CARDINAL
ejpam-6198	243	2	δ)− u1j1(π2ρn)g1(t− δ	LAW
ejpam-6198	244	1	41	CARDINAL
ejpam-6198	245	1	αβao)−	CARDINAL
ejpam-6198	246	1	v2g4(t− δ)− v1g3(t−	ORG
ejpam-6198	247	1	0	CARDINAL
ejpam-6198	249	1	ρm	ORG
ejpam-6198	249	2	0	CARDINAL
ejpam-6198	250	1	j2 0	ORG
ejpam-6198	250	2	m. zafarullah et al	PERSON
ejpam-6198	251	1	j. pure	PERSON
ejpam-6198	251	2	18	CARDINAL
ejpam-6198	251	3	4	CARDINAL
ejpam-6198	251	4	2025	CARDINAL
ejpam-6198	251	5	6198 16	DATE
ejpam-6198	251	6	41	CARDINAL
ejpam-6198	254	1	v2j0(π1ρm)g4(t−	ORG
ejpam-6198	255	1	42	CARDINAL
ejpam-6198	255	2	5	CARDINAL
ejpam-6198	255	3	5.1	CARDINAL
ejpam-6198	256	1	second	ORDINAL
ejpam-6198	256	2	1	CARDINAL
ejpam-6198	256	3	eqs	CARDINAL
ejpam-6198	256	4	35	CARDINAL
ejpam-6198	256	5	36	CARDINAL
ejpam-6198	256	6	41	CARDINAL
ejpam-6198	256	7	42	CARDINAL
ejpam-6198	256	8	second	ORDINAL
ejpam-6198	257	1	w = h(t	ORG
ejpam-6198	257	2	2	CARDINAL
ejpam-6198	257	3	2	CARDINAL
ejpam-6198	257	4	2−π2 1	DATE
ejpam-6198	258	1	j2 1 (	ORG
ejpam-6198	258	2	j2 1 (	ORG
ejpam-6198	259	1	j!(i− j	PERSON
ejpam-6198	260	1	αa0 ν	MONEY
ejpam-6198	260	2	j ∞∑ k=0	PERSON
ejpam-6198	260	3	i− j	PERSON
ejpam-6198	263	1	− k	PERSON
ejpam-6198	264	1	ak1 ∞∑	PERSON
ejpam-6198	268	1	u2j1(π1ρn)g2(t−δ)−u1j1(π2ρn)g1(t−δ)]m1,l+i	NORP
ejpam-6198	268	2	43	CARDINAL
ejpam-6198	269	1	0	CARDINAL
ejpam-6198	270	1	j2 0	ORG
ejpam-6198	272	1	αa0 ν	MONEY
ejpam-6198	272	2	j ∞∑ k=0	PERSON
ejpam-6198	272	3	i− j	PERSON
ejpam-6198	275	1	− k	PERSON
ejpam-6198	276	1	ak1 ∞∑	PERSON
ejpam-6198	280	1	44	CARDINAL
ejpam-6198	280	2	m. zafarullah et al	PERSON
ejpam-6198	281	1	j. pure	PERSON
ejpam-6198	281	2	18	CARDINAL
ejpam-6198	281	3	4	CARDINAL
ejpam-6198	281	4	2025	CARDINAL
ejpam-6198	281	5	6198 17	DATE
ejpam-6198	281	6	41	CARDINAL
ejpam-6198	281	7	sρθ(ρ	GPE
ejpam-6198	282	1	2h(t)π1π2	CARDINAL
ejpam-6198	282	2	2	CARDINAL
ejpam-6198	282	3	1)ρ 2	DATE
ejpam-6198	283	1	2	CARDINAL
ejpam-6198	283	2	1)ρ 2	DATE
ejpam-6198	283	3	∫	ORG
ejpam-6198	284	1	δ)]e−a1tdδ	CARDINAL
ejpam-6198	284	2	j2 1 (	ORG
ejpam-6198	284	3	j2 1	ORG
ejpam-6198	285	1	j!(i− j	PERSON
ejpam-6198	286	1	αa0 ν	MONEY
ejpam-6198	286	2	j ∞∑ k=0	PERSON
ejpam-6198	286	3	i− j	PERSON
ejpam-6198	289	1	− k	PERSON
ejpam-6198	290	1	ak1 ∞∑	PERSON
ejpam-6198	295	1	u2j1(π1ρn)g2(t−	CARDINAL
ejpam-6198	295	2	δ)− u1j1(π2ρn)g1(t− δ	LAW
ejpam-6198	297	1	45	CARDINAL
ejpam-6198	298	1	v2g4(t)−v1g3(t)](µ+αao)−	PERSON
ejpam-6198	302	1	ρm	ORG
ejpam-6198	302	2	0	CARDINAL
ejpam-6198	303	1	j2 0	ORG
ejpam-6198	303	2	j!(i− j	PERSON
ejpam-6198	304	1	αa0 ν	MONEY
ejpam-6198	305	1	j × ∞∑ k=0	PERSON
ejpam-6198	305	2	i− j	PERSON
ejpam-6198	308	1	− k	PERSON
ejpam-6198	309	1	ak1 ∞∑	PERSON
ejpam-6198	314	1	v2j0(π1ρm)g4(t−	ORG
ejpam-6198	317	1	46	CARDINAL
ejpam-6198	317	2	v(π1	GPE
ejpam-6198	318	1	46	CARDINAL
ejpam-6198	318	2	42	CARDINAL
ejpam-6198	318	3	eqs	CARDINAL
ejpam-6198	319	1	28	CARDINAL
ejpam-6198	319	2	29	CARDINAL
ejpam-6198	320	1	m. zafarullah et al	PERSON
ejpam-6198	321	1	j. pure	PERSON
ejpam-6198	321	2	18	CARDINAL
ejpam-6198	321	3	4	CARDINAL
ejpam-6198	321	4	2025	CARDINAL
ejpam-6198	321	5	6198 18	DATE
ejpam-6198	321	6	41 5.2	CARDINAL
ejpam-6198	322	1	0	CARDINAL
ejpam-6198	322	2	eqs	CARDINAL
ejpam-6198	323	1	35	CARDINAL
ejpam-6198	323	2	36	CARDINAL
ejpam-6198	323	3	41	CARDINAL
ejpam-6198	323	4	42	CARDINAL
ejpam-6198	324	1	2	CARDINAL
ejpam-6198	324	2	2	CARDINAL
ejpam-6198	324	3	2−π2 1	DATE
ejpam-6198	325	1	j2 1 (	ORG
ejpam-6198	325	2	j2 1 (	ORG
ejpam-6198	325	3	× ∞∑ i=0	ORG
ejpam-6198	327	1	47	CARDINAL
ejpam-6198	329	1	0	CARDINAL
ejpam-6198	330	1	j2 0	ORG
ejpam-6198	331	1	u2j1(π1ρn)g2(t−	CARDINAL
ejpam-6198	331	2	u1j1(π2ρm)g1(t−	ORG
ejpam-6198	331	3	0	CARDINAL
ejpam-6198	331	4	48	CARDINAL
ejpam-6198	331	5	sρθ(ρ	GPE
ejpam-6198	331	6	2π1π2	CARDINAL
ejpam-6198	331	7	2	CARDINAL
ejpam-6198	331	8	1)ρ 2	TIME
ejpam-6198	331	9	j2 1 (	ORG
ejpam-6198	331	10	j2 1 (	ORG
ejpam-6198	331	11	× ∞∑ i=0	ORG
ejpam-6198	333	1	u2j1(π1ρn)g2(t−	CARDINAL
ejpam-6198	333	2	0	CARDINAL
ejpam-6198	333	3	49	CARDINAL
ejpam-6198	334	1	ρm	ORG
ejpam-6198	334	2	0	CARDINAL
ejpam-6198	335	1	j2 0	ORG
ejpam-6198	337	1	u2j1(π1ρn)g2(t−	CARDINAL
ejpam-6198	337	2	u1j1(π2ρm)g1(t−	ORG
ejpam-6198	337	3	0	CARDINAL
ejpam-6198	338	1	50	CARDINAL
ejpam-6198	338	2	m. zafarullah et al	PERSON
ejpam-6198	339	1	j. pure	PERSON
ejpam-6198	339	2	18	CARDINAL
ejpam-6198	339	3	4	CARDINAL
ejpam-6198	339	4	2025	CARDINAL
ejpam-6198	339	5	6198 19	DATE
ejpam-6198	339	6	41 5.3	CARDINAL
ejpam-6198	339	7	second	ORDINAL
ejpam-6198	339	8	0	CARDINAL
ejpam-6198	339	9	gm	ORG
ejpam-6198	339	10	0	CARDINAL
ejpam-6198	339	11	eqs	CARDINAL
ejpam-6198	340	1	35	CARDINAL
ejpam-6198	340	2	36	CARDINAL
ejpam-6198	340	3	41	CARDINAL
ejpam-6198	340	4	42	CARDINAL
ejpam-6198	340	5	second	ORDINAL
ejpam-6198	340	6	w = h(t	ORG
ejpam-6198	340	7	2	CARDINAL
ejpam-6198	340	8	2	CARDINAL
ejpam-6198	340	9	2−π2 1	DATE
ejpam-6198	341	1	j2 1 (	ORG
ejpam-6198	341	2	j2 1 (	ORG
ejpam-6198	342	1	j!(i− j	PERSON
ejpam-6198	343	1	αβa0 ν	MONEY
ejpam-6198	343	2	j ∞∑ k=0	PERSON
ejpam-6198	343	3	i− j	PERSON
ejpam-6198	346	1	− k	PERSON
ejpam-6198	347	1	ak1 ∞∑	PERSON
ejpam-6198	352	1	u2j1(π1ρn)g2(t−	CARDINAL
ejpam-6198	352	2	51	CARDINAL
ejpam-6198	352	3	0	CARDINAL
ejpam-6198	353	1	j2 0	ORG
ejpam-6198	355	1	αβa0 ν	MONEY
ejpam-6198	355	2	j ∞∑ k=0	PERSON
ejpam-6198	355	3	i− j	PERSON
ejpam-6198	358	1	− k	PERSON
ejpam-6198	359	1	ak1 ∞∑	PERSON
ejpam-6198	364	1	v2j0(π1ρm)g4(t− δ)− v2j0(π2ρm)g3(t− δ)]m1,l+i −β(k+l)+l−h(−(νgp + αβa0gp	PRODUCT
ejpam-6198	364	2	52	CARDINAL
ejpam-6198	364	3	sρθ(ρ	GPE
ejpam-6198	365	1	2h(t)π1π2	CARDINAL
ejpam-6198	365	2	2	CARDINAL
ejpam-6198	365	3	1)ρ 2	DATE
ejpam-6198	365	4	2	CARDINAL
ejpam-6198	365	5	1)ρ 2	DATE
ejpam-6198	365	6	∫	ORG
ejpam-6198	367	1	j2 1 (	ORG
ejpam-6198	367	2	j2 1	ORG
ejpam-6198	369	1	αβa0sβ ν	NORP
ejpam-6198	369	2	j ∞∑ k=0	PERSON
ejpam-6198	369	3	i− j	PERSON
ejpam-6198	372	1	− k	PERSON
ejpam-6198	373	1	ak1 ∞∑	PERSON
ejpam-6198	376	1	m. zafarullah et al	PERSON
ejpam-6198	377	1	j. pure	PERSON
ejpam-6198	377	2	18	CARDINAL
ejpam-6198	377	3	4	CARDINAL
ejpam-6198	377	4	2025	CARDINAL
ejpam-6198	377	5	6198 20	CARDINAL
ejpam-6198	377	6	41	CARDINAL
ejpam-6198	378	1	u2j1(π1ρn)g2(t−	CARDINAL
ejpam-6198	378	2	δ)− u1j1(π2ρn)g1(t− δ	LAW
ejpam-6198	379	1	αβa0	ORG
ejpam-6198	381	1	αβao)−	CARDINAL
ejpam-6198	383	1	v2g4(t− δ	ORG
ejpam-6198	384	1	0	CARDINAL
ejpam-6198	385	1	ρm	ORG
ejpam-6198	385	2	0	CARDINAL
ejpam-6198	386	1	j2 0	ORG
ejpam-6198	386	2	j!(i− j	PERSON
ejpam-6198	387	1	αβa0sβ ν	NORP
ejpam-6198	387	2	j ∞∑ k=0	PERSON
ejpam-6198	387	3	i− j	PERSON
ejpam-6198	390	1	− k	PERSON
ejpam-6198	391	1	ak1 ∞∑	PERSON
ejpam-6198	396	1	v2j0(π1ρm)g4(t−	ORG
ejpam-6198	397	1	aogp	PERSON
ejpam-6198	400	1	54	CARDINAL
ejpam-6198	400	2	5.4	CARDINAL
ejpam-6198	400	3	second	ORDINAL
ejpam-6198	400	4	0	CARDINAL
ejpam-6198	400	5	eqs	CARDINAL
ejpam-6198	401	1	35	CARDINAL
ejpam-6198	401	2	36	CARDINAL
ejpam-6198	401	3	41	CARDINAL
ejpam-6198	401	4	42	CARDINAL
ejpam-6198	401	5	second	ORDINAL
ejpam-6198	401	6	w = h(t	ORG
ejpam-6198	401	7	2	CARDINAL
ejpam-6198	401	8	2	CARDINAL
ejpam-6198	401	9	2−π2 1	DATE
ejpam-6198	402	1	j2 1 (	ORG
ejpam-6198	402	2	j2 1 (	ORG
ejpam-6198	403	1	j!(i− j	PERSON
ejpam-6198	404	1	αβa0 ν	MONEY
ejpam-6198	404	2	j ∞∑ k=0	PERSON
ejpam-6198	404	3	i− j	PERSON
ejpam-6198	407	1	− k	PERSON
ejpam-6198	408	1	ak1 ∞∑	PERSON
ejpam-6198	411	1	m. zafarullah et al	PERSON
ejpam-6198	412	1	j. pure	PERSON
ejpam-6198	412	2	18	CARDINAL
ejpam-6198	412	3	4	CARDINAL
ejpam-6198	412	4	2025	CARDINAL
ejpam-6198	412	5	6198 21	DATE
ejpam-6198	412	6	41	CARDINAL
ejpam-6198	413	1	u2j1(π1ρn)g2(t−	CARDINAL
ejpam-6198	413	2	55	CARDINAL
ejpam-6198	415	1	0	CARDINAL
ejpam-6198	416	1	j2 0	ORG
ejpam-6198	418	1	αβa0 ν	MONEY
ejpam-6198	418	2	j ∞∑ k=0	PERSON
ejpam-6198	418	3	i− j	PERSON
ejpam-6198	421	1	− k	PERSON
ejpam-6198	422	1	ak1 ∞∑	PERSON
ejpam-6198	425	1	gm)h × ∫	ORG
ejpam-6198	426	1	v2j0(π1ρm)g4(t− δ)− v2j0(π2ρm)g3(t− δ)]m1,l+i −β(k+l)+l−h(−gm	PRODUCT
ejpam-6198	426	2	56	CARDINAL
ejpam-6198	426	3	sρθ(ρ	GPE
ejpam-6198	427	1	2h(t)π1π2	CARDINAL
ejpam-6198	427	2	2	CARDINAL
ejpam-6198	427	3	1)ρ 2	DATE
ejpam-6198	427	4	2	CARDINAL
ejpam-6198	427	5	1)ρ 2	DATE
ejpam-6198	427	6	∫	ORG
ejpam-6198	429	1	j2 1 (	ORG
ejpam-6198	429	2	j2 1	ORG
ejpam-6198	431	1	αβa0sβ ν	NORP
ejpam-6198	431	2	j ∞∑ k=0	PERSON
ejpam-6198	431	3	i− j	PERSON
ejpam-6198	434	1	− k	PERSON
ejpam-6198	435	1	ak1 ∞∑	PERSON
ejpam-6198	438	1	gm)h × ∫	ORG
ejpam-6198	439	1	u2j1(π1ρn)g2(t−	CARDINAL
ejpam-6198	439	2	δ)− u1j1(π2ρn)g1(t− δ	LAW
ejpam-6198	442	1	57	CARDINAL
ejpam-6198	442	2	m. zafarullah et al	PERSON
ejpam-6198	443	1	j. pure	PERSON
ejpam-6198	443	2	18	CARDINAL
ejpam-6198	443	3	4	CARDINAL
ejpam-6198	443	4	2025	CARDINAL
ejpam-6198	443	5	6198 22	DATE
ejpam-6198	443	6	41	CARDINAL
ejpam-6198	444	1	αβao)−	CARDINAL
ejpam-6198	445	1	ρm	ORG
ejpam-6198	445	2	0	CARDINAL
ejpam-6198	446	1	j2 0	ORG
ejpam-6198	446	2	j!(i− j	PERSON
ejpam-6198	447	1	αβa0sβ ν	NORP
ejpam-6198	447	2	j ∞∑ k=0	PERSON
ejpam-6198	447	3	i− j	PERSON
ejpam-6198	450	1	− k	PERSON
ejpam-6198	451	1	ak1 ∞∑	PERSON
ejpam-6198	454	1	a1gm)h × ∫	ORG
ejpam-6198	455	1	v2j0(π1ρm)g4(t−	ORG
ejpam-6198	459	1	58	CARDINAL
ejpam-6198	459	2	5.5	CARDINAL
ejpam-6198	459	3	second	ORDINAL
ejpam-6198	459	4	gm	ORG
ejpam-6198	459	5	gm	ORG
ejpam-6198	459	6	eqs	ORG
ejpam-6198	460	1	35	CARDINAL
ejpam-6198	460	2	36	CARDINAL
ejpam-6198	460	3	41	CARDINAL
ejpam-6198	460	4	42	CARDINAL
ejpam-6198	460	5	second	ORDINAL
ejpam-6198	461	1	w = h(t	ORG
ejpam-6198	461	2	2	CARDINAL
ejpam-6198	461	3	2	CARDINAL
ejpam-6198	461	4	2−π2 1	DATE
ejpam-6198	462	1	j2 1 (	ORG
ejpam-6198	462	2	j2 1 (	ORG
ejpam-6198	463	1	j!(i− j	PERSON
ejpam-6198	464	1	αβa0 ν	MONEY
ejpam-6198	464	2	j ∞∑ k=0	PERSON
ejpam-6198	464	3	i− j	PERSON
ejpam-6198	467	1	− k	PERSON
ejpam-6198	468	1	ak1 ∞∑	PERSON
ejpam-6198	470	1	u2j1(π1ρn)g2(t−	CARDINAL
ejpam-6198	470	2	−β(k+l)(0	ORG
ejpam-6198	470	3	59	CARDINAL
ejpam-6198	472	1	0	CARDINAL
ejpam-6198	473	1	j2 0	ORG
ejpam-6198	473	2	m. zafarullah et al	PERSON
ejpam-6198	474	1	j. pure	PERSON
ejpam-6198	474	2	18	CARDINAL
ejpam-6198	474	3	4	CARDINAL
ejpam-6198	474	4	2025	CARDINAL
ejpam-6198	474	5	6198 23	DATE
ejpam-6198	474	6	41	CARDINAL
ejpam-6198	476	1	αβa0 ν	MONEY
ejpam-6198	476	2	j ∞∑ k=0	PERSON
ejpam-6198	476	3	i− j	PERSON
ejpam-6198	479	1	− k	PERSON
ejpam-6198	480	1	ak1 ∞∑	PERSON
ejpam-6198	482	1	v2j0(π1ρm)g4(t− δ)− v2j0(π2ρm)g3(t− δ)]m1,i	ORG
ejpam-6198	482	2	−β(k+l)(0	ORG
ejpam-6198	482	3	60	CARDINAL
ejpam-6198	482	4	sρθ(ρ	GPE
ejpam-6198	482	5	2h(t)π1π2	CARDINAL
ejpam-6198	482	6	2	CARDINAL
ejpam-6198	482	7	1)ρ 2	DATE
ejpam-6198	482	8	2	CARDINAL
ejpam-6198	482	9	1)ρ 2	DATE
ejpam-6198	483	1	u2π1g2(t−	CARDINAL
ejpam-6198	485	1	j2 1 (	ORG
ejpam-6198	485	2	j2 1 (	ORG
ejpam-6198	485	3	× ∞∑ i=0	ORG
ejpam-6198	485	4	j!(i− j	PERSON
ejpam-6198	486	1	αβa0sβ ν	NORP
ejpam-6198	486	2	j ∞∑ k=0	PERSON
ejpam-6198	489	1	− 1− k	PERSON
ejpam-6198	490	1	ak1 ∞∑	PERSON
ejpam-6198	492	1	u2j1(π1ρn)g2(t−	CARDINAL
ejpam-6198	492	2	δ)− u1j1(π2ρn)g1(t− δ	LAW
ejpam-6198	493	1	αβa0	ORG
ejpam-6198	494	1	m1,i −β(k+l)(0	ORG
ejpam-6198	495	1	−β(1+k+l)(0	ORG
ejpam-6198	496	1	61	CARDINAL
ejpam-6198	497	1	αβao)−	CARDINAL
ejpam-6198	499	1	v2g4(t− δ)− v1g3(t−	ORG
ejpam-6198	500	1	0	CARDINAL
ejpam-6198	502	1	ρm	ORG
ejpam-6198	502	2	0	CARDINAL
ejpam-6198	503	1	j2 0	ORG
ejpam-6198	503	2	j!(i− j	PERSON
ejpam-6198	504	1	αβa0sβ ν	NORP
ejpam-6198	504	2	j ∞∑ k=0	PERSON
ejpam-6198	507	1	− 1− k	PERSON
ejpam-6198	508	1	ak1 ∞∑	PERSON
ejpam-6198	508	2	m. zafarullah et al	PERSON
ejpam-6198	509	1	j. pure	PERSON
ejpam-6198	509	2	18	CARDINAL
ejpam-6198	509	3	4	CARDINAL
ejpam-6198	509	4	2025	CARDINAL
ejpam-6198	509	5	6198 24	DATE
ejpam-6198	509	6	41	CARDINAL
ejpam-6198	510	1	v2j0(π1ρm)g4(t−	ORG
ejpam-6198	511	1	αβa0	ORG
ejpam-6198	512	1	m1,i −β(k+l)(0	ORG
ejpam-6198	513	1	−β(1+k+l)(0	ORG
ejpam-6198	515	1	62	CARDINAL
ejpam-6198	515	2	5.6	CARDINAL
ejpam-6198	516	1	gm	ORG
ejpam-6198	516	2	0	CARDINAL
ejpam-6198	516	3	gm	ORG
ejpam-6198	516	4	0	CARDINAL
ejpam-6198	516	5	eqs	CARDINAL
ejpam-6198	517	1	35	CARDINAL
ejpam-6198	517	2	36	CARDINAL
ejpam-6198	517	3	41	CARDINAL
ejpam-6198	517	4	42	CARDINAL
ejpam-6198	518	1	2	CARDINAL
ejpam-6198	518	2	2	CARDINAL
ejpam-6198	518	3	2−π2 1	DATE
ejpam-6198	519	1	j2 1 (	ORG
ejpam-6198	519	2	j2 1 (	ORG
ejpam-6198	519	3	× ∞∑ i=0	ORG
ejpam-6198	521	1	u2j1(π1ρn)g2(t−	CARDINAL
ejpam-6198	521	2	0	CARDINAL
ejpam-6198	521	3	63	CARDINAL
ejpam-6198	523	1	0	CARDINAL
ejpam-6198	524	1	j2 0	ORG
ejpam-6198	525	1	v2j0(π1ρm)g4(t− δ)− v2j0(π2ρm)g3(t−	PRODUCT
ejpam-6198	525	2	0	DATE
ejpam-6198	525	3	64	CARDINAL
ejpam-6198	525	4	sρθ(ρ	GPE
ejpam-6198	525	5	2h(t)π1π2	CARDINAL
ejpam-6198	525	6	2	CARDINAL
ejpam-6198	525	7	1)ρ 2	DATE
ejpam-6198	525	8	j2 1 (	ORG
ejpam-6198	525	9	j2 1 (	ORG
ejpam-6198	525	10	× ∞∑ i=0	ORG
ejpam-6198	527	1	u2j1(π1ρn)g2(t−	CARDINAL
ejpam-6198	527	2	0	CARDINAL
ejpam-6198	527	3	65	CARDINAL
ejpam-6198	527	4	m. zafarullah et al	PERSON
ejpam-6198	528	1	j. pure	PERSON
ejpam-6198	528	2	18	CARDINAL
ejpam-6198	528	3	4	CARDINAL
ejpam-6198	528	4	2025	CARDINAL
ejpam-6198	528	5	6198 25	DATE
ejpam-6198	528	6	41	CARDINAL
ejpam-6198	529	1	ρm	ORG
ejpam-6198	529	2	0	CARDINAL
ejpam-6198	530	1	j2 0	ORG
ejpam-6198	531	1	0	DATE
ejpam-6198	532	1	66	CARDINAL
ejpam-6198	532	2	5.7	CARDINAL
ejpam-6198	533	1	0	CARDINAL
ejpam-6198	533	2	eqs	ORG
ejpam-6198	534	1	35	CARDINAL
ejpam-6198	534	2	36	CARDINAL
ejpam-6198	534	3	41	CARDINAL
ejpam-6198	534	4	42	CARDINAL
ejpam-6198	535	1	2	CARDINAL
ejpam-6198	535	2	2	CARDINAL
ejpam-6198	535	3	2−π2 1	DATE
ejpam-6198	536	1	j2 1 (	ORG
ejpam-6198	536	2	j2 1 (	ORG
ejpam-6198	536	3	× ∞∑ i=0	ORG
ejpam-6198	538	1	u2j1(π1ρn)g2(t−	CARDINAL
ejpam-6198	538	2	0	CARDINAL
ejpam-6198	538	3	67	CARDINAL
ejpam-6198	540	1	0	CARDINAL
ejpam-6198	541	1	j2 0	ORG
ejpam-6198	542	1	v2j0(π1ρm)g4(t− δ)− v2j0(π2ρm)g3(t−	PRODUCT
ejpam-6198	542	2	68	CARDINAL
ejpam-6198	542	3	2π1π2	CARDINAL
ejpam-6198	542	4	2	CARDINAL
ejpam-6198	542	5	1)ρ 2 h(t	DATE
ejpam-6198	542	6	µ+πµh(t	NORP
ejpam-6198	542	7	j2 1 (	ORG
ejpam-6198	542	8	j2 1 (	ORG
ejpam-6198	542	9	× ∞∑ i=0	ORG
ejpam-6198	544	1	69	CARDINAL
ejpam-6198	544	2	m. zafarullah et al	PERSON
ejpam-6198	545	1	j. pure	PERSON
ejpam-6198	545	2	18	CARDINAL
ejpam-6198	545	3	4	CARDINAL
ejpam-6198	545	4	2025	CARDINAL
ejpam-6198	545	5	6198 26	DATE
ejpam-6198	545	6	41	CARDINAL
ejpam-6198	546	1	ρm	ORG
ejpam-6198	546	2	0	CARDINAL
ejpam-6198	547	1	j2 0	ORG
ejpam-6198	549	1	70	CARDINAL
ejpam-6198	549	2	5.8	CARDINAL
ejpam-6198	550	1	gm	ORG
ejpam-6198	550	2	0	CARDINAL
ejpam-6198	550	3	0	DATE
ejpam-6198	550	4	gm	ORG
ejpam-6198	550	5	0	CARDINAL
ejpam-6198	550	6	eqs	ORG
ejpam-6198	551	1	35	CARDINAL
ejpam-6198	551	2	36	CARDINAL
ejpam-6198	551	3	41	CARDINAL
ejpam-6198	551	4	42	CARDINAL
ejpam-6198	553	1	2	CARDINAL
ejpam-6198	553	2	2	CARDINAL
ejpam-6198	553	3	2−π2 1	DATE
ejpam-6198	554	1	j2 1 (	ORG
ejpam-6198	554	2	j2 1 (	ORG
ejpam-6198	556	1	u2j1(π1ρn)g2(t−	CARDINAL
ejpam-6198	556	2	δ)− u1j1(π2ρn)g1(t− δ)][1− e−νρ2nδ]dδ	ORG
ejpam-6198	556	3	71	CARDINAL
ejpam-6198	556	4	ρm	ORG
ejpam-6198	556	5	0	CARDINAL
ejpam-6198	557	1	j2 0	ORG
ejpam-6198	558	1	v2j0(π1ρm)g4(t− δ)− v2j0(π2ρm)g3(t− δ)][1− e−νρ2mδ]dδ	ORG
ejpam-6198	558	2	72	CARDINAL
ejpam-6198	558	3	sρθ(ρ	GPE
ejpam-6198	558	4	2h(t)π1π2	CARDINAL
ejpam-6198	558	5	2	CARDINAL
ejpam-6198	558	6	1)ρ 2	DATE
ejpam-6198	558	7	j2 1 (	ORG
ejpam-6198	558	8	j2 1 (	ORG
ejpam-6198	561	1	u2j1(π1ρn)g2(t−	CARDINAL
ejpam-6198	561	2	δ)− u1j1(π2ρn)g1(t− δ)][1− e−νρ2nδ]dδ	ORG
ejpam-6198	561	3	73	CARDINAL
ejpam-6198	561	4	m. zafarullah et al	PERSON
ejpam-6198	562	1	j. pure	PERSON
ejpam-6198	562	2	18	CARDINAL
ejpam-6198	562	3	4	CARDINAL
ejpam-6198	562	4	2025	CARDINAL
ejpam-6198	562	5	6198 27	DATE
ejpam-6198	562	6	41	CARDINAL
ejpam-6198	563	1	ρm	ORG
ejpam-6198	563	2	0	CARDINAL
ejpam-6198	564	1	j2 0	ORG
ejpam-6198	565	1	u2j1(π1ρn)g2(t−	CARDINAL
ejpam-6198	565	2	δ)− u1j1(π2ρn)g1(t− δ)][1− e−νρ2mδ]dδ	ORG
ejpam-6198	566	1	74	CARDINAL
ejpam-6198	566	2	w(π1	ORG
ejpam-6198	566	3	w(π2	GPE
ejpam-6198	566	4	eqs.(71	ORG
ejpam-6198	566	5	73	CARDINAL
ejpam-6198	566	6	43	CARDINAL
ejpam-6198	566	7	eqs	CARDINAL
ejpam-6198	567	1	20	CARDINAL
ejpam-6198	567	2	28	CARDINAL
ejpam-6198	568	1	w(π1	ORG
ejpam-6198	569	1	w(π2	GPE
ejpam-6198	570	1	eqs.(71	ORG
ejpam-6198	570	2	73	CARDINAL
ejpam-6198	570	3	44	CARDINAL
ejpam-6198	570	4	eqs	CARDINAL
ejpam-6198	571	1	24	CARDINAL
ejpam-6198	571	2	25	CARDINAL
ejpam-6198	572	1	v(π1	GPE
ejpam-6198	572	2	w(π2	GPE
ejpam-6198	572	3	74	CARDINAL
ejpam-6198	572	4	45	CARDINAL
ejpam-6198	572	5	eqs	CARDINAL
ejpam-6198	573	1	4.3	CARDINAL
ejpam-6198	573	2	4.4	CARDINAL
ejpam-6198	574	1	6	CARDINAL
ejpam-6198	574	2	second	ORDINAL
ejpam-6198	576	1	second	ORDINAL
ejpam-6198	576	2	abc	ORG
ejpam-6198	577	1	two	CARDINAL
ejpam-6198	578	1	abc	ORG
ejpam-6198	579	1	generalized ma	PERSON
ejpam-6198	583	1	first	ORDINAL
ejpam-6198	583	2	abc fractional operator	ORG
ejpam-6198	584	1	30	CARDINAL
ejpam-6198	584	2	36–38	DATE
ejpam-6198	586	1	second	ORDINAL
ejpam-6198	587	1	m. zafarullah et al	PERSON
ejpam-6198	588	1	j. pure	PERSON
ejpam-6198	588	2	18	CARDINAL
ejpam-6198	588	3	4	CARDINAL
ejpam-6198	588	4	2025	CARDINAL
ejpam-6198	588	5	6198 28	DATE
ejpam-6198	588	6	41	CARDINAL
ejpam-6198	588	7	2	CARDINAL
ejpam-6198	588	8	w(ρ	DATE
ejpam-6198	588	9	v(ρ	GPE
ejpam-6198	588	10	sρθ(ρ	GPE
ejpam-6198	588	11	eqs	CARDINAL
ejpam-6198	589	1	35	CARDINAL
ejpam-6198	589	2	36	CARDINAL
ejpam-6198	589	3	41	CARDINAL
ejpam-6198	589	4	42	CARDINAL
ejpam-6198	589	5	2.5	CARDINAL
ejpam-6198	589	6	gm	ORG
ejpam-6198	589	7	0.5	CARDINAL
ejpam-6198	589	8	0.4	CARDINAL
ejpam-6198	589	9	ρ	CARDINAL
ejpam-6198	590	1	1	CARDINAL
ejpam-6198	590	2	second	ORDINAL
ejpam-6198	590	3	section 5.1	LAW
ejpam-6198	590	4	section 5.2	LAW
ejpam-6198	591	1	gm	ORG
ejpam-6198	591	2	0	CARDINAL
ejpam-6198	591	3	second	ORDINAL
ejpam-6198	591	4	section 5.3	LAW
ejpam-6198	591	5	second	ORDINAL
ejpam-6198	591	6	section 5.4	LAW
ejpam-6198	591	7	second	ORDINAL
ejpam-6198	591	8	section 5.5	DATE
ejpam-6198	592	1	second	ORDINAL
ejpam-6198	592	2	second	ORDINAL
ejpam-6198	592	3	section 5.6	LAW
ejpam-6198	592	4	section 5.7	LAW
ejpam-6198	593	1	second	ORDINAL
ejpam-6198	594	1	m. zafarullah et al	PERSON
ejpam-6198	595	1	j. pure	PERSON
ejpam-6198	595	2	18	CARDINAL
ejpam-6198	595	3	4	CARDINAL
ejpam-6198	595	4	2025	CARDINAL
ejpam-6198	595	5	6198 29	DATE
ejpam-6198	595	6	41	CARDINAL
ejpam-6198	595	7	3	CARDINAL
ejpam-6198	595	8	w(ρ	DATE
ejpam-6198	595	9	v(ρ	GPE
ejpam-6198	595	10	sρθ(ρ	GPE
ejpam-6198	595	11	eqs	CARDINAL
ejpam-6198	596	1	35	CARDINAL
ejpam-6198	596	2	36	CARDINAL
ejpam-6198	596	3	41	CARDINAL
ejpam-6198	596	4	42	CARDINAL
ejpam-6198	596	5	2.5	CARDINAL
ejpam-6198	596	6	gm	ORG
ejpam-6198	596	7	0.5	CARDINAL
ejpam-6198	596	8	0.4	CARDINAL
ejpam-6198	597	1	v(ρ	GPE
ejpam-6198	597	2	sρθ(ρ	GPE
ejpam-6198	598	1	two	CARDINAL
ejpam-6198	599	1	zero	CARDINAL
ejpam-6198	599	2	11.12	CARDINAL
ejpam-6198	599	3	0.042	CARDINAL
ejpam-6198	599	4	0.4	CARDINAL
ejpam-6198	599	5	0.8	CARDINAL
ejpam-6198	600	1	2	CARDINAL
ejpam-6198	600	2	m. zafarullah et al	PERSON
ejpam-6198	601	1	j. pure	PERSON
ejpam-6198	601	2	18	CARDINAL
ejpam-6198	601	3	4	CARDINAL
ejpam-6198	601	4	2025	CARDINAL
ejpam-6198	601	5	6198 30	DATE
ejpam-6198	601	6	41 ω	CARDINAL
ejpam-6198	601	7	3	CARDINAL
ejpam-6198	601	8	2.5	CARDINAL
ejpam-6198	601	9	0.5	CARDINAL
ejpam-6198	601	10	gm	ORG
ejpam-6198	601	11	0.5	CARDINAL
ejpam-6198	601	12	0.4	CARDINAL
ejpam-6198	601	13	0.4	CARDINAL
ejpam-6198	601	14	0.8	CARDINAL
ejpam-6198	601	15	1 to 6	CARDINAL
ejpam-6198	603	1	4	CARDINAL
ejpam-6198	603	2	w(ρ	DATE
ejpam-6198	603	3	v(ρ	GPE
ejpam-6198	603	4	sρθ(ρ	GPE
ejpam-6198	603	5	eqs	CARDINAL
ejpam-6198	604	1	35	CARDINAL
ejpam-6198	604	2	36	CARDINAL
ejpam-6198	604	3	41	CARDINAL
ejpam-6198	604	4	42	CARDINAL
ejpam-6198	604	5	gm	ORG
ejpam-6198	604	6	0.5	CARDINAL
ejpam-6198	604	7	0.4	CARDINAL
ejpam-6198	606	1	2	CARDINAL
ejpam-6198	607	1	v(ρ	GPE
ejpam-6198	610	1	four	CARDINAL
ejpam-6198	610	2	m. zafarullah et al	PERSON
ejpam-6198	611	1	j. pure	PERSON
ejpam-6198	611	2	18	CARDINAL
ejpam-6198	611	3	4	CARDINAL
ejpam-6198	611	4	2025	CARDINAL
ejpam-6198	611	5	6198 31	DATE
ejpam-6198	611	6	41	CARDINAL
ejpam-6198	611	7	zero	CARDINAL
ejpam-6198	612	1	v(ρ	GPE
ejpam-6198	612	2	sρθ(ρ	GPE
ejpam-6198	613	1	sρθ(ρ	GPE
ejpam-6198	614	1	5	CARDINAL
ejpam-6198	614	2	w(ρ	DATE
ejpam-6198	614	3	v(ρ	GPE
ejpam-6198	614	4	sρθ(ρ	GPE
ejpam-6198	614	5	eqs	CARDINAL
ejpam-6198	615	1	35	CARDINAL
ejpam-6198	615	2	36	CARDINAL
ejpam-6198	615	3	41	CARDINAL
ejpam-6198	615	4	42	CARDINAL
ejpam-6198	615	5	2	CARDINAL
ejpam-6198	615	6	gm	ORG
ejpam-6198	615	7	5	CARDINAL
ejpam-6198	615	8	4	CARDINAL
ejpam-6198	616	1	abc	ORG
ejpam-6198	616	2	second	ORDINAL
ejpam-6198	617	1	3	CARDINAL
ejpam-6198	617	2	60%	PERCENT
ejpam-6198	617	3	sρθ(ρ	GPE
ejpam-6198	618	1	m. zafarullah et al	PERSON
ejpam-6198	619	1	j. pure	PERSON
ejpam-6198	619	2	18	CARDINAL
ejpam-6198	619	3	4	CARDINAL
ejpam-6198	619	4	2025	CARDINAL
ejpam-6198	619	5	6198 32	DATE
ejpam-6198	619	6	41	CARDINAL
ejpam-6198	620	1	6	CARDINAL
ejpam-6198	620	2	w(ρ	DATE
ejpam-6198	620	3	v(ρ	GPE
ejpam-6198	620	4	sρθ(ρ	GPE
ejpam-6198	620	5	eqs	CARDINAL
ejpam-6198	621	1	35	CARDINAL
ejpam-6198	621	2	36	CARDINAL
ejpam-6198	621	3	41	CARDINAL
ejpam-6198	621	4	42	CARDINAL
ejpam-6198	621	5	2	CARDINAL
ejpam-6198	621	6	2	CARDINAL
ejpam-6198	621	7	gm	ORG
ejpam-6198	622	1	second	ORDINAL
ejpam-6198	623	1	second	ORDINAL
ejpam-6198	625	1	4	CARDINAL
ejpam-6198	628	1	m. zafarullah et al	PERSON
ejpam-6198	629	1	j. pure	PERSON
ejpam-6198	629	2	18	CARDINAL
ejpam-6198	629	3	4	CARDINAL
ejpam-6198	629	4	2025	CARDINAL
ejpam-6198	629	5	6198 33	DATE
ejpam-6198	629	6	41	CARDINAL
ejpam-6198	629	7	7	CARDINAL
ejpam-6198	629	8	w(ρ	DATE
ejpam-6198	629	9	v(ρ	GPE
ejpam-6198	629	10	sρθ(ρ	GPE
ejpam-6198	629	11	eqs	CARDINAL
ejpam-6198	630	1	35	CARDINAL
ejpam-6198	630	2	36	CARDINAL
ejpam-6198	630	3	41	CARDINAL
ejpam-6198	630	4	42	CARDINAL
ejpam-6198	630	5	2	CARDINAL
ejpam-6198	630	6	gm	ORG
ejpam-6198	630	7	2	CARDINAL
ejpam-6198	633	1	fig	ORG
ejpam-6198	634	1	5	CARDINAL
ejpam-6198	635	1	second	ORDINAL
ejpam-6198	636	1	5	CARDINAL
ejpam-6198	639	1	four	CARDINAL
ejpam-6198	640	1	gm	ORG
ejpam-6198	642	1	6	CARDINAL
ejpam-6198	642	2	m. zafarullah et al	PERSON
ejpam-6198	643	1	j. pure	PERSON
ejpam-6198	643	2	18	CARDINAL
ejpam-6198	643	3	4	CARDINAL
ejpam-6198	643	4	2025	CARDINAL
ejpam-6198	643	5	6198 34	DATE
ejpam-6198	643	6	41	CARDINAL
ejpam-6198	644	1	gm	ORG
ejpam-6198	644	2	four	CARDINAL
ejpam-6198	645	1	6	CARDINAL
ejpam-6198	645	2	zero	CARDINAL
ejpam-6198	646	1	4	CARDINAL
ejpam-6198	646	2	5	CARDINAL
ejpam-6198	646	3	8	CARDINAL
ejpam-6198	646	4	w(ρ	DATE
ejpam-6198	646	5	v(ρ	GPE
ejpam-6198	646	6	sρθ(ρ	GPE
ejpam-6198	646	7	eqs	CARDINAL
ejpam-6198	647	1	35	CARDINAL
ejpam-6198	647	2	36	CARDINAL
ejpam-6198	647	3	41	CARDINAL
ejpam-6198	647	4	42	CARDINAL
ejpam-6198	647	5	1.5	CARDINAL
ejpam-6198	648	1	gm	ORG
ejpam-6198	648	2	3	CARDINAL
ejpam-6198	648	3	2	CARDINAL
ejpam-6198	655	1	m. zafarullah et al	PERSON
ejpam-6198	656	1	j. pure	PERSON
ejpam-6198	656	2	18	CARDINAL
ejpam-6198	656	3	4	CARDINAL
ejpam-6198	656	4	2025	CARDINAL
ejpam-6198	656	5	6198 35	DATE
ejpam-6198	656	6	41	CARDINAL
ejpam-6198	656	7	gm	ORG
ejpam-6198	657	1	today	DATE
ejpam-6198	660	1	abc	ORG
ejpam-6198	663	1	three	CARDINAL
ejpam-6198	663	2	abc fractional	ORG
ejpam-6198	663	3	w(t	PERSON
ejpam-6198	663	4	three	CARDINAL
ejpam-6198	664	1	9	CARDINAL
ejpam-6198	664	2	w(ρ	DATE
ejpam-6198	664	3	v(ρ	GPE
ejpam-6198	664	4	sρθ(ρ	GPE
ejpam-6198	664	5	2.5	CARDINAL
ejpam-6198	664	6	gm	ORG
ejpam-6198	664	7	2.5	CARDINAL
ejpam-6198	664	8	1.5	CARDINAL
ejpam-6198	665	1	m. zafarullah et al	PERSON
ejpam-6198	666	1	j. pure	PERSON
ejpam-6198	666	2	18	CARDINAL
ejpam-6198	666	3	4	CARDINAL
ejpam-6198	666	4	2025	CARDINAL
ejpam-6198	666	5	6198 36	DATE
ejpam-6198	666	6	41	CARDINAL
ejpam-6198	666	7	10	CARDINAL
ejpam-6198	666	8	w(ρ	DATE
ejpam-6198	666	9	v(ρ	GPE
ejpam-6198	666	10	sρθ(ρ	GPE
ejpam-6198	666	11	2.5	CARDINAL
ejpam-6198	666	12	gm	ORG
ejpam-6198	666	13	2.5	CARDINAL
ejpam-6198	666	14	1.5	CARDINAL
ejpam-6198	667	1	9 and 10	DATE
ejpam-6198	668	1	four	CARDINAL
ejpam-6198	668	2	second	ORDINAL
ejpam-6198	668	3	eqs	ORG
ejpam-6198	669	1	35	CARDINAL
ejpam-6198	669	2	36	CARDINAL
ejpam-6198	669	3	41	CARDINAL
ejpam-6198	669	4	42	CARDINAL
ejpam-6198	669	5	0.2	CARDINAL
ejpam-6198	669	6	0.7	CARDINAL
ejpam-6198	669	7	second	ORDINAL
ejpam-6198	669	8	eqs	ORG
ejpam-6198	670	1	59 62	CARDINAL
ejpam-6198	670	2	1	CARDINAL
ejpam-6198	671	1	eqs	ORG
ejpam-6198	671	2	7174	DATE
ejpam-6198	674	1	9	CARDINAL
ejpam-6198	674	2	second	ORDINAL
ejpam-6198	674	3	0.2	CARDINAL
ejpam-6198	677	1	10	CARDINAL
ejpam-6198	677	2	second	ORDINAL
ejpam-6198	677	3	0.2	CARDINAL
ejpam-6198	677	4	m. zafarullah	PERSON
ejpam-6198	679	1	j. pure	PERSON
ejpam-6198	679	2	18	CARDINAL
ejpam-6198	679	3	4	CARDINAL
ejpam-6198	679	4	2025	CARDINAL
ejpam-6198	679	5	6198 37	DATE
ejpam-6198	679	6	41	CARDINAL
ejpam-6198	680	1	second	ORDINAL
ejpam-6198	680	2	0.7	CARDINAL
ejpam-6198	680	3	second	ORDINAL
ejpam-6198	680	4	second	ORDINAL
ejpam-6198	681	1	mks	ORG
ejpam-6198	683	1	abc	ORG
ejpam-6198	683	2	second	ORDINAL
ejpam-6198	684	1	second	ORDINAL
ejpam-6198	684	2	abc	ORG
ejpam-6198	686	1	second	ORDINAL
ejpam-6198	688	1	abc	ORG
ejpam-6198	688	2	second	ORDINAL
ejpam-6198	691	1	gm	ORG
ejpam-6198	693	1	second	ORDINAL
ejpam-6198	693	2	0.2	CARDINAL
ejpam-6198	694	1	second	ORDINAL
ejpam-6198	694	2	0.2	CARDINAL
ejpam-6198	695	1	8	CARDINAL
ejpam-6198	695	2	maxwell	ORG
ejpam-6198	695	3	abc	ORG
ejpam-6198	696	1	wright	PERSON
ejpam-6198	697	1	m. zafarullah et al	PERSON
ejpam-6198	698	1	j. pure	PERSON
ejpam-6198	698	2	18	CARDINAL
ejpam-6198	698	3	4	CARDINAL
ejpam-6198	698	4	2025	CARDINAL
ejpam-6198	698	5	6198 38	DATE
ejpam-6198	698	6	41	CARDINAL
ejpam-6198	698	7	a. b. albidah	PERSON
ejpam-6198	698	8	majmaah university	ORG
ejpam-6198	699	1	1	CARDINAL
ejpam-6198	699	2	l. debnath	PERSON
ejpam-6198	701	1	35(4):487–501, 2004	DATE
ejpam-6198	702	1	2	CARDINAL
ejpam-6198	702	2	j. t. machado	PERSON
ejpam-6198	702	3	f. mainardi	PERSON
ejpam-6198	704	1	16(3):1140–1153, 2011	DATE
ejpam-6198	705	1	3	CARDINAL
ejpam-6198	705	2	h. sun	PERSON
ejpam-6198	705	3	y. zhang	PERSON
ejpam-6198	705	4	d. baleanu	PERSON
ejpam-6198	705	5	w. chen	PERSON
ejpam-6198	705	6	y. chen	PERSON
ejpam-6198	707	1	64:213–231	CARDINAL
ejpam-6198	707	2	2018	DATE
ejpam-6198	708	1	4	CARDINAL
ejpam-6198	708	2	b. ross	PERSON
ejpam-6198	710	1	historia mathematica	PERSON
ejpam-6198	710	2	4(1):75–89, 1977	DATE
ejpam-6198	711	1	5	CARDINAL
ejpam-6198	711	2	i. podlubny	PERSON
ejpam-6198	711	3	r. magin	PERSON
ejpam-6198	711	4	i. trymorush	PERSON
ejpam-6198	712	1	niels henrik abel	PERSON
ejpam-6198	713	1	20(5):1068–1075	CARDINAL
ejpam-6198	713	2	2017	DATE
ejpam-6198	714	1	6	CARDINAL
ejpam-6198	714	2	j. a. t. machado	PERSON
ejpam-6198	714	3	a. m. galhano	PERSON
ejpam-6198	714	4	j. j. trujillo	PERSON
ejpam-6198	715	1	the last fifty years	DATE
ejpam-6198	716	1	98:577–582	CARDINAL
ejpam-6198	716	2	2014	DATE
ejpam-6198	717	1	7	CARDINAL
ejpam-6198	717	2	m. caputo	PERSON
ejpam-6198	717	3	m. fabrizio	PERSON
ejpam-6198	719	1	1(2):73–85	DATE
ejpam-6198	719	2	2015	DATE
ejpam-6198	720	1	8	CARDINAL
ejpam-6198	720	2	d. baleanu	PERSON
ejpam-6198	721	1	2016	DATE
ejpam-6198	722	1	arxiv	ORG
ejpam-6198	723	1	9	CARDINAL
ejpam-6198	723	2	p. kumam	PERSON
ejpam-6198	723	3	t. anwar	PERSON
ejpam-6198	723	4	w.	PERSON
ejpam-6198	723	5	z. shah	PERSON
ejpam-6198	724	1	9:52036–52052	CARDINAL
ejpam-6198	724	2	2021	DATE
ejpam-6198	725	1	10	CARDINAL
ejpam-6198	725	2	s. qureshi	PERSON
ejpam-6198	725	3	a. atangana	PERSON
ejpam-6198	727	1	physica	ORG
ejpam-6198	727	2	526:121127	CARDINAL
ejpam-6198	727	3	2019	DATE
ejpam-6198	728	1	11	CARDINAL
ejpam-6198	728	2	n. faraz	PERSON
ejpam-6198	728	3	y. khan	PERSON
ejpam-6198	728	4	e. d. goufo	PERSON
ejpam-6198	728	5	a. anjum	PERSON
ejpam-6198	728	6	a. anjum	PERSON
ejpam-6198	729	1	covid-19	PRODUCT
ejpam-6198	730	1	zeitschrift für naturforschung c	PERSON
ejpam-6198	730	2	75(11-12):389–396, 2020	TIME
ejpam-6198	731	1	12	CARDINAL
ejpam-6198	731	2	t. anwar	PERSON
ejpam-6198	731	3	p. kumam	PERSON
ejpam-6198	731	4	k. sitthithakerngkiet	PERSON
ejpam-6198	733	1	2021	CARDINAL
ejpam-6198	734	1	13	CARDINAL
ejpam-6198	734	2	t. anwar	PERSON
ejpam-6198	734	3	p. kumam	PERSON
ejpam-6198	734	4	p. suttiarporn	PERSON
ejpam-6198	734	5	s. m. eldin	PERSON
ejpam-6198	734	6	s. muhammad	PERSON
ejpam-6198	734	7	a. m. galal	PERSON
ejpam-6198	735	1	m. zafarullah et al	PERSON
ejpam-6198	736	1	j. pure	PERSON
ejpam-6198	736	2	18	CARDINAL
ejpam-6198	736	3	4	CARDINAL
ejpam-6198	736	4	2025	CARDINAL
ejpam-6198	736	5	6198 39	DATE
ejpam-6198	736	6	41	CARDINAL
ejpam-6198	737	1	2023	CARDINAL
ejpam-6198	738	1	14	CARDINAL
ejpam-6198	738	2	t. anwar	PERSON
ejpam-6198	738	3	p. kumam	PERSON
ejpam-6198	738	4	m. y. almusawa	PERSON
ejpam-6198	738	5	s. a. lone	PERSON
ejpam-6198	739	1	prabhakar fractional approach	ORG
ejpam-6198	740	1	13(1):7810	CARDINAL
ejpam-6198	740	2	2023	CARDINAL
ejpam-6198	741	1	15	CARDINAL
ejpam-6198	741	2	m. b. riaz	PERSON
ejpam-6198	741	3	n. iftikhar	PERSON
ejpam-6198	742	1	mhd maxwell	PERSON
ejpam-6198	743	1	132:109556, 2020	DATE
ejpam-6198	744	1	16	CARDINAL
ejpam-6198	744	2	s. t. saeed	PERSON
ejpam-6198	744	3	m. b. riaz	PERSON
ejpam-6198	744	4	d. baleanu	PERSON
ejpam-6198	746	1	10(1):177–186	DATE
ejpam-6198	746	2	2021	DATE
ejpam-6198	747	1	17	CARDINAL
ejpam-6198	747	2	m. yavuz	PERSON
ejpam-6198	747	3	m. arfan	PERSON
ejpam-6198	747	4	sami	PERSON
ejpam-6198	748	1	abc fractional	ORG
ejpam-6198	749	1	2024	DATE
ejpam-6198	750	1	18	CARDINAL
ejpam-6198	750	2	j. bansal	PERSON
ejpam-6198	750	3	a. kumar	PERSON
ejpam-6198	750	4	a. kumar	PERSON
ejpam-6198	750	5	a. khan	PERSON
ejpam-6198	750	6	t. abdeljawad	PERSON
ejpam-6198	752	1	2025	DATE
ejpam-6198	753	1	19	CARDINAL
ejpam-6198	755	1	9(1):106	CARDINAL
ejpam-6198	755	2	2021	CARDINAL
ejpam-6198	756	1	20	CARDINAL
ejpam-6198	756	2	a. m. mathai	PERSON
ejpam-6198	756	3	r. k. saxena	PERSON
ejpam-6198	756	4	h. j. haubold	PERSON
ejpam-6198	758	1	springer science & business media	ORG
ejpam-6198	758	2	2009	DATE
ejpam-6198	759	1	21	CARDINAL
ejpam-6198	759	2	s. qureshi	PERSON
ejpam-6198	760	1	fox	ORG
ejpam-6198	760	2	mass spring	GPE
ejpam-6198	761	1	20(1	CARDINAL
ejpam-6198	761	2	2021	CARDINAL
ejpam-6198	762	1	22	CARDINAL
ejpam-6198	762	2	f. ali	PERSON
ejpam-6198	762	3	n. a. sheikh	PERSON
ejpam-6198	762	4	i. khan	PERSON
ejpam-6198	762	5	m. saqib	PERSON
ejpam-6198	763	1	wright	PERSON
ejpam-6198	764	1	arabian	NORP
ejpam-6198	764	2	42:2565–2572	CARDINAL
ejpam-6198	764	3	2017	DATE
ejpam-6198	765	1	23	CARDINAL
ejpam-6198	765	2	m. sharma	PERSON
ejpam-6198	765	3	r. jain	PERSON
ejpam-6198	767	1	12(4):449–452	DATE
ejpam-6198	767	2	2009	DATE
ejpam-6198	768	1	24	CARDINAL
ejpam-6198	768	2	m. jamil	PERSON
ejpam-6198	768	3	v. kumar	PERSON
ejpam-6198	768	4	m. zafarullah	PERSON
ejpam-6198	768	5	a. khan	PERSON
ejpam-6198	768	6	maxwell	ORG
ejpam-6198	769	1	12(6	CARDINAL
ejpam-6198	769	2	2021	CARDINAL
ejpam-6198	770	1	25	CARDINAL
ejpam-6198	770	2	m. chakraborty	PERSON
ejpam-6198	770	3	s. chakraborty	PERSON
ejpam-6198	771	1	two	CARDINAL
ejpam-6198	772	1	the european physical journal c	ORG
ejpam-6198	772	2	2025	DATE
ejpam-6198	773	1	26	CARDINAL
ejpam-6198	773	2	r. dhairiyasamy	PERSON
ejpam-6198	773	3	d. gabiriel	PERSON
ejpam-6198	773	4	w. bunpheng	PERSON
ejpam-6198	773	5	c. c. kit	PERSON
ejpam-6198	774	1	1–20	CARDINAL
ejpam-6198	774	2	2025	DATE
ejpam-6198	775	1	27	CARDINAL
ejpam-6198	775	2	j. bayat	PERSON
ejpam-6198	775	3	h. emdad	PERSON
ejpam-6198	777	1	2022	CARDINAL
ejpam-6198	778	1	m. zafarullah et al	PERSON
ejpam-6198	779	1	j. pure	PERSON
ejpam-6198	779	2	18	CARDINAL
ejpam-6198	779	3	4	CARDINAL
ejpam-6198	779	4	2025	CARDINAL
ejpam-6198	779	5	6198 40	DATE
ejpam-6198	780	1	28	CARDINAL
ejpam-6198	780	2	f. m. alharbi	PERSON
ejpam-6198	780	3	j. j. shepherd	PERSON
ejpam-6198	780	4	a. j. stacey	PERSON
ejpam-6198	782	1	59:100–114	CARDINAL
ejpam-6198	782	2	2018	DATE
ejpam-6198	783	1	29	CARDINAL
ejpam-6198	783	2	z. a. worku	PERSON
ejpam-6198	783	3	d. kumar	PERSON
ejpam-6198	783	4	j. v. gomes	PERSON
ejpam-6198	783	5	b. glennon	PERSON
ejpam-6198	783	6	k. a. ramisetty	PERSON
ejpam-6198	783	7	c. rasmuson	PERSON
ejpam-6198	783	8	p. o’connell	PERSON
ejpam-6198	783	9	k. h. gallagher	PERSON
ejpam-6198	783	10	t. woods	GPE
ejpam-6198	784	1	international journal of pharmaceutics	ORG
ejpam-6198	784	2	531(1):191–204	CARDINAL
ejpam-6198	784	3	2017	DATE
ejpam-6198	785	1	30	CARDINAL
ejpam-6198	785	2	m. jamil	PERSON
ejpam-6198	786	1	two	CARDINAL
ejpam-6198	786	2	maxwell	ORG
ejpam-6198	787	1	acta mechanica sinica	ORG
ejpam-6198	787	2	28:274–280	CARDINAL
ejpam-6198	787	3	2012	DATE
ejpam-6198	788	1	31	CARDINAL
ejpam-6198	788	2	m. kamran	PERSON
ejpam-6198	788	3	y. bashir	PERSON
ejpam-6198	788	4	a. farooq	PERSON
ejpam-6198	788	5	a. shahzad	PERSON
ejpam-6198	788	6	a. a. a. mousa	PERSON
ejpam-6198	788	7	h. alotaibi	PERSON
ejpam-6198	788	8	h. ahmad	PERSON
ejpam-6198	790	1	23:103993	CARDINAL
ejpam-6198	790	2	2021	CARDINAL
ejpam-6198	791	1	32	CARDINAL
ejpam-6198	791	2	m. javaid	PERSON
ejpam-6198	791	3	m. tahir	PERSON
ejpam-6198	791	4	m. imran	PERSON
ejpam-6198	791	5	d. baleanu	PERSON
ejpam-6198	791	6	a. akgül	PERSON
ejpam-6198	791	7	m. a. imran	PERSON
ejpam-6198	793	1	alexandria engineering journal	ORG
ejpam-6198	793	2	61(1):17–27	DATE
ejpam-6198	793	3	2022	CARDINAL
ejpam-6198	794	1	33	CARDINAL
ejpam-6198	794	2	m. jamil	PERSON
ejpam-6198	794	3	m. zafarullah	PERSON
ejpam-6198	795	1	second	ORDINAL
ejpam-6198	796	1	european journal	ORG
ejpam-6198	796	2	12(3):1149–1175	DATE
ejpam-6198	796	3	2019	DATE
ejpam-6198	797	1	34	CARDINAL
ejpam-6198	797	2	p. liu	PERSON
ejpam-6198	797	3	g. f. chen	PERSON
ejpam-6198	799	1	2014	DATE
ejpam-6198	800	1	35	CARDINAL
ejpam-6198	800	2	j. cai	PERSON
ejpam-6198	800	3	h. hajibeygi	PERSON
ejpam-6198	800	4	j. yao	PERSON
ejpam-6198	800	5	s. m. hassanizadeh	PERSON
ejpam-6198	801	1	interpore2020	ORG
ejpam-6198	802	1	geo-energy research	ORG
ejpam-6198	802	2	4(4):352–355	CARDINAL
ejpam-6198	802	3	2020	DATE
ejpam-6198	803	1	36	CARDINAL
ejpam-6198	803	2	i. mochalin	PERSON
ejpam-6198	803	3	j. cai	PERSON
ejpam-6198	803	4	e. shiju	PERSON
ejpam-6198	803	5	d. wang	PERSON
ejpam-6198	805	1	16(1):469–483	CARDINAL
ejpam-6198	805	2	2022	CARDINAL
ejpam-6198	806	1	37	CARDINAL
ejpam-6198	806	2	a. mahmood	PERSON
ejpam-6198	806	3	i. siddique	PERSON
ejpam-6198	807	1	second	ORDINAL
ejpam-6198	808	1	4:171–180, 2008	DATE
ejpam-6198	809	1	38	CARDINAL
ejpam-6198	809	2	h. jin	PERSON
ejpam-6198	811	1	10(5):2700–2708, 2009	DATE
ejpam-6198	812	1	39	CARDINAL
ejpam-6198	812	2	m. aleem	PERSON
ejpam-6198	812	3	m. i. asjad	PERSON
ejpam-6198	812	4	a. ahmadian	PERSON
ejpam-6198	812	5	m. salimi	PERSON
ejpam-6198	812	6	m. ferrara	PERSON
ejpam-6198	813	1	mhd jeffrey	PERSON
ejpam-6198	814	1	the european physical journal plus	ORG
ejpam-6198	814	2	135(1):26	CARDINAL
ejpam-6198	814	3	2020	DATE
ejpam-6198	815	1	40	CARDINAL
ejpam-6198	815	2	m. i. asjad	PERSON
ejpam-6198	815	3	m. aleem	PERSON
ejpam-6198	815	4	a. ahmadian	PERSON
ejpam-6198	815	5	s. salahshour	PERSON
ejpam-6198	815	6	m. ferrara	PERSON
ejpam-6198	816	1	mwcnts)cmc	GPE
ejpam-6198	816	2	nanofluids	ORG
ejpam-6198	817	1	chinese journal of physics	ORG
ejpam-6198	817	2	66:497–516	CARDINAL
ejpam-6198	817	3	2020	DATE
ejpam-6198	818	1	41	CARDINAL
ejpam-6198	818	2	c. f. lorenzo	PERSON
ejpam-6198	818	3	t. t. hartley	PERSON
ejpam-6198	819	1	1999	DATE
ejpam-6198	820	1	42	CARDINAL
ejpam-6198	820	2	a. mahmood	PERSON
ejpam-6198	820	3	n. a. khan	PERSON
ejpam-6198	820	4	m. jamil	PERSON
ejpam-6198	821	1	second	ORDINAL
ejpam-6198	821	2	two	CARDINAL
ejpam-6198	821	3	m. zafarullah et al	PERSON
ejpam-6198	822	1	j. pure	PERSON
ejpam-6198	822	2	18	CARDINAL
ejpam-6198	822	3	4	CARDINAL
ejpam-6198	822	4	2025	CARDINAL
ejpam-6198	822	5	6198 41	CARDINAL
ejpam-6198	822	6	41	CARDINAL
ejpam-6198	823	1	acta mechanica sinica	ORG
ejpam-6198	823	2	26:541–550	CARDINAL
ejpam-6198	823	3	2010	DATE
ejpam-6198	824	1	43	CARDINAL
ejpam-6198	824	2	w. akhtar	PERSON
ejpam-6198	824	3	i. siddique	PERSON
ejpam-6198	824	4	a. sohail	PERSON
ejpam-6198	825	1	maxwell	ORG
ejpam-6198	825	2	two	CARDINAL
ejpam-6198	826	1	16(7):2788–2795, 2011	DATE
ejpam-6198	827	1	44	CARDINAL
ejpam-6198	827	2	a. mahmood	PERSON
ejpam-6198	827	3	s. parveen	PERSON
ejpam-6198	827	4	n. a. khan	PERSON
ejpam-6198	828	1	second	ORDINAL
ejpam-6198	829	1	acta mechanica sinica	ORG
ejpam-6198	829	2	27:222–227	CARDINAL
ejpam-6198	829	3	2011	DATE
ejpam-6198	830	1	45	CARDINAL
ejpam-6198	830	2	a. u. awan	PERSON
ejpam-6198	830	3	m. imran	PERSON
ejpam-6198	830	4	m. athar	PERSON
ejpam-6198	830	5	m. kamran	PERSON
ejpam-6198	831	1	maxwell	ORG
ejpam-6198	831	2	between two	CARDINAL
ejpam-6198	832	1	punjab university journal of mathematics	ORG
ejpam-6198	832	2	2020	DATE