id	sid	eid	entity	type
ejpam-6466	1	1	european journal	ORG
ejpam-6466	1	2	2025	DATE
ejpam-6466	1	3	18	CARDINAL
ejpam-6466	1	4	4	CARDINAL
ejpam-6466	1	5	6466	CARDINAL
ejpam-6466	1	6	1307-5543	DATE
ejpam-6466	1	7	new york	GPE
ejpam-6466	1	8	muhammad imran liaqat1	PERSON
ejpam-6466	1	9	majeed ahmad yousif3	PERSON
ejpam-6466	1	10	68	CARDINAL
ejpam-6466	1	11	muslim	NORP
ejpam-6466	1	12	54600	DATE
ejpam-6466	1	13	pakistan 2	ORG
ejpam-6466	1	14	lebanese	NORP
ejpam-6466	1	15	american university	ORG
ejpam-6466	1	16	beirut 11022801	GPE
ejpam-6466	1	17	lebanon 3	ORG
ejpam-6466	1	18	university of zakho	ORG
ejpam-6466	1	19	iraq 4	ORG
ejpam-6466	1	20	university of sulaimani	ORG
ejpam-6466	1	21	46001	DATE
ejpam-6466	1	22	iraq 5	ORG
ejpam-6466	1	23	university of halabja	ORG
ejpam-6466	1	24	46018	DATE
ejpam-6466	1	25	6	CARDINAL
ejpam-6466	1	26	corso vittorio	GPE
ejpam-6466	1	27	italy	GPE
ejpam-6466	9	1	first	ORDINAL
ejpam-6466	10	1	second	ORDINAL
ejpam-6466	11	1	thirdly	ORDINAL
ejpam-6466	11	2	two	CARDINAL
ejpam-6466	12	1	itô isometry	GPE
ejpam-6466	13	1	2020	DATE
ejpam-6466	13	2	34a07	CARDINAL
ejpam-6466	13	3	34a08	CARDINAL
ejpam-6466	13	4	60g22	CARDINAL
ejpam-6466	14	1	https://doi.org/10.29020/nybg.ejpam.v18i4.6466	ORG
ejpam-6466	14	2	imran liaqat	PERSON
ejpam-6466	14	3	22@sms.edu.pk	DATE
ejpam-6466	14	4	m. i. liaqat	PERSON
ejpam-6466	14	5	d.	NORP
ejpam-6466	14	6	m. a. yousif	PERSON
ejpam-6466	14	7	(p. o. mohammed	PERSON
ejpam-6466	15	1	1	CARDINAL
ejpam-6466	15	2	2025	CARDINAL
ejpam-6466	16	1	m. i. liaqat et al	PERSON
ejpam-6466	17	1	j. pure	PERSON
ejpam-6466	17	2	18	CARDINAL
ejpam-6466	17	3	4	CARDINAL
ejpam-6466	17	4	2025	CARDINAL
ejpam-6466	17	5	6466 2	DATE
ejpam-6466	18	1	fc	NORP
ejpam-6466	19	1	fc	NORP
ejpam-6466	20	1	fc	GPE
ejpam-6466	20	2	the 17th century	DATE
ejpam-6466	22	1	1–3	CARDINAL
ejpam-6466	22	2	i. beginnings	PERSON
ejpam-6466	22	3	17th century	DATE
ejpam-6466	22	4	half	CARDINAL
ejpam-6466	24	1	18th and 19th centuries	DATE
ejpam-6466	24	2	euler	PERSON
ejpam-6466	24	3	leonhard euler	PERSON
ejpam-6466	24	4	fc	NORP
ejpam-6466	24	5	fc	NORP
ejpam-6466	24	6	•	CARDINAL
ejpam-6466	25	1	joseph liouville	PERSON
ejpam-6466	25	2	euler	PERSON
ejpam-6466	26	1	•	CARDINAL
ejpam-6466	26	2	fc	GPE
ejpam-6466	26	3	•	CARDINAL
ejpam-6466	26	4	riemann-liouville fc	ORG
ejpam-6466	26	5	bernhard riemann	PERSON
ejpam-6466	26	6	joseph liouville	PERSON
ejpam-6466	26	7	riemann-liouville	ORG
ejpam-6466	26	8	fc	NORP
ejpam-6466	27	1	20th century	DATE
ejpam-6466	27	2	michele caputo	PERSON
ejpam-6466	27	3	riemann-liouville	ORG
ejpam-6466	28	1	•	CARDINAL
ejpam-6466	28	2	the 20th century	DATE
ejpam-6466	28	3	fc	NORP
ejpam-6466	29	1	late 20th century	DATE
ejpam-6466	29	2	•	CARDINAL
ejpam-6466	29	3	the late 20th century	DATE
ejpam-6466	30	1	•	CARDINAL
ejpam-6466	31	1	m. i. liaqat et al	PERSON
ejpam-6466	32	1	j. pure	PERSON
ejpam-6466	32	2	18	CARDINAL
ejpam-6466	32	3	4	CARDINAL
ejpam-6466	32	4	2025	CARDINAL
ejpam-6466	32	5	6466 3	DATE
ejpam-6466	32	6	28	CARDINAL
ejpam-6466	33	1	4–7	CARDINAL
ejpam-6466	33	2	i.	PERSON
ejpam-6466	41	1	fc	ORG
ejpam-6466	42	1	fc	ORG
ejpam-6466	43	1	vi	PERSON
ejpam-6466	43	2	fc	NORP
ejpam-6466	48	1	fc	NORP
ejpam-6466	49	1	taylor	PERSON
ejpam-6466	50	1	fc	ORG
ejpam-6466	51	1	m. i. liaqat et al	PERSON
ejpam-6466	52	1	j. pure	PERSON
ejpam-6466	52	2	18	CARDINAL
ejpam-6466	52	3	4	CARDINAL
ejpam-6466	52	4	2025	CARDINAL
ejpam-6466	52	5	6466 4	DATE
ejpam-6466	52	6	28	CARDINAL
ejpam-6466	54	1	riemann-liouville	ORG
ejpam-6466	54	2	caputo	PERSON
ejpam-6466	54	3	caputo-fabrizio	PERSON
ejpam-6466	57	1	fc	GPE
ejpam-6466	59	1	16	CARDINAL
ejpam-6466	60	1	1	CARDINAL
ejpam-6466	60	2	∈	ORG
ejpam-6466	60	3	0	CARDINAL
ejpam-6466	62	1	0	CARDINAL
ejpam-6466	63	1	2	CARDINAL
ejpam-6466	63	2	0,λ	NORP
ejpam-6466	63	3	lim τ→0	PERSON
ejpam-6466	65	1	α̃	ORG
ejpam-6466	65	2	0	CARDINAL
ejpam-6466	65	3	iα̃ξ	PERSON
ejpam-6466	67	1	1−ξ	CARDINAL
ejpam-6466	68	1	∈	ORG
ejpam-6466	68	2	0	CARDINAL
ejpam-6466	68	3	1	CARDINAL
ejpam-6466	69	1	3	CARDINAL
ejpam-6466	71	1	i.	PERSON
ejpam-6466	71	2	lévy	NORP
ejpam-6466	75	1	m. i. liaqat et al	PERSON
ejpam-6466	76	1	j. pure	PERSON
ejpam-6466	76	2	18	CARDINAL
ejpam-6466	76	3	4	CARDINAL
ejpam-6466	76	4	2025	CARDINAL
ejpam-6466	76	5	6466 5	DATE
ejpam-6466	76	6	28 iii	QUANTITY
ejpam-6466	77	1	fc	NORP
ejpam-6466	78	1	fc	GPE
ejpam-6466	82	1	fc	NORP
ejpam-6466	85	1	fc	NORP
ejpam-6466	86	1	fc	GPE
ejpam-6466	90	1	21	CARDINAL
ejpam-6466	90	2	22	CARDINAL
ejpam-6466	90	3	i.	PERSON
ejpam-6466	90	4	•	CARDINAL
ejpam-6466	95	1	•	CARDINAL
ejpam-6466	96	1	m. i. liaqat et al	PERSON
ejpam-6466	97	1	j. pure	PERSON
ejpam-6466	97	2	18	CARDINAL
ejpam-6466	97	3	4	CARDINAL
ejpam-6466	97	4	2025	CARDINAL
ejpam-6466	97	5	6466 6	DATE
ejpam-6466	97	6	28	CARDINAL
ejpam-6466	102	1	•	CARDINAL
ejpam-6466	106	1	•	CARDINAL
ejpam-6466	109	1	•	CARDINAL
ejpam-6466	113	1	vi	PERSON
ejpam-6466	113	2	•	CARDINAL
ejpam-6466	118	1	m. i. liaqat et al	PERSON
ejpam-6466	119	1	j. pure	PERSON
ejpam-6466	119	2	18	CARDINAL
ejpam-6466	119	3	4	CARDINAL
ejpam-6466	119	4	2025	CARDINAL
ejpam-6466	119	5	6466 7	DATE
ejpam-6466	119	6	28 •	CARDINAL
ejpam-6466	124	1	three	CARDINAL
ejpam-6466	127	1	at least one	CARDINAL
ejpam-6466	144	1	23	CARDINAL
ejpam-6466	145	1	ali et al	PERSON
ejpam-6466	146	1	24	CARDINAL
ejpam-6466	147	1	raheem et al	PERSON
ejpam-6466	148	1	25	CARDINAL
ejpam-6466	149	1	ramkumar et al	PERSON
ejpam-6466	150	1	26	CARDINAL
ejpam-6466	151	1	djaouti	PERSON
ejpam-6466	152	1	27	CARDINAL
ejpam-6466	153	1	ali et al	PERSON
ejpam-6466	154	1	28	CARDINAL
ejpam-6466	154	2	caputo	PERSON
ejpam-6466	154	3	multiplicative	NORP
ejpam-6466	155	1	euler	PERSON
ejpam-6466	155	2	maruyama	PERSON
ejpam-6466	157	1	29	CARDINAL
ejpam-6466	157	2	m. i. liaqat et al	PERSON
ejpam-6466	158	1	j. pure	PERSON
ejpam-6466	158	2	18	CARDINAL
ejpam-6466	158	3	4	CARDINAL
ejpam-6466	158	4	2025	CARDINAL
ejpam-6466	158	5	6466 8 of 28	DATE
ejpam-6466	159	1	eu	ORG
ejpam-6466	160	1	moualkia	PERSON
ejpam-6466	160	2	xu	PERSON
ejpam-6466	161	1	30	CARDINAL
ejpam-6466	163	1	liping et al	PERSON
ejpam-6466	164	1	31	CARDINAL
ejpam-6466	166	1	abouagwa et al	PERSON
ejpam-6466	167	1	32	CARDINAL
ejpam-6466	167	2	eu	ORG
ejpam-6466	169	1	33	CARDINAL
ejpam-6466	170	1	eu	ORG
ejpam-6466	171	1	two	CARDINAL
ejpam-6466	171	2	eu	PERSON
ejpam-6466	171	3	first	ORDINAL
ejpam-6466	171	4	eu	ORG
ejpam-6466	172	1	second	ORDINAL
ejpam-6466	172	2	eu	ORG
ejpam-6466	176	1	two	CARDINAL
ejpam-6466	178	1	i.	PERSON
ejpam-6466	178	2	23–33	CARDINAL
ejpam-6466	178	3	eu	ORG
ejpam-6466	180	1	23–33	CARDINAL
ejpam-6466	180	2	eu	ORG
ejpam-6466	181	1	1 2	CARDINAL
ejpam-6466	181	2	1	CARDINAL
ejpam-6466	182	1	x(τ	PERSON
ejpam-6466	182	2	x(τ	PERSON
ejpam-6466	183	1	+𭟋(τ	PERSON
ejpam-6466	183	2	x(τ	PERSON
ejpam-6466	183	3	x(τ	PERSON
ejpam-6466	183	4	∀τ ∈	ORG
ejpam-6466	184	1	0	CARDINAL
ejpam-6466	184	2	4	CARDINAL
ejpam-6466	184	3	0	CARDINAL
ejpam-6466	185	1	0,∞	DATE
ejpam-6466	185	2	ω	ORDINAL
ejpam-6466	186	1	∈	ORG
ejpam-6466	189	1	0	CARDINAL
ejpam-6466	191	1	4	CARDINAL
ejpam-6466	192	1	τ ∈	PERSON
ejpam-6466	192	2	5	CARDINAL
ejpam-6466	192	3	m. i. liaqat et al	PERSON
ejpam-6466	193	1	j. pure	PERSON
ejpam-6466	193	2	18	CARDINAL
ejpam-6466	193	3	4	CARDINAL
ejpam-6466	193	4	2025	CARDINAL
ejpam-6466	193	5	6466 9 of 28	DATE
ejpam-6466	193	6	c̃([−m	DATE
ejpam-6466	193	7	0],rr)−	DATE
ejpam-6466	194	1	section 3	LAW
ejpam-6466	195	1	section 4	LAW
ejpam-6466	195	2	two	CARDINAL
ejpam-6466	196	1	section 5	LAW
ejpam-6466	197	1	2	CARDINAL
ejpam-6466	198	1	0	CARDINAL
ejpam-6466	198	2	c̃([−m	DATE
ejpam-6466	198	3	0],rr	CARDINAL
ejpam-6466	201	1	1	CARDINAL
ejpam-6466	201	2	lp̃	PRODUCT
ejpam-6466	202	1	0	CARDINAL
ejpam-6466	202	2	x(τ))0≤τ≤ℏ	PERSON
ejpam-6466	202	3	ω	ORDINAL
ejpam-6466	203	1	0 ∥x(τ)∥p̃dτ	PERSON
ejpam-6466	205	1	1	CARDINAL
ejpam-6466	206	1	x(τ	PERSON
ejpam-6466	207	1	4	CARDINAL
ejpam-6466	208	1	5	CARDINAL
ejpam-6466	208	2	x(τ))0≤τ≤ℏ	PERSON
ejpam-6466	208	3	x(τ	PERSON
ejpam-6466	208	4	x(τ	PERSON
ejpam-6466	209	1	𭟋(τ, x(τ	GPE
ejpam-6466	209	2	x(τ	PERSON
ejpam-6466	211	1	0	CARDINAL
ejpam-6466	211	2	x(τ	PERSON
ejpam-6466	212	1	0	CARDINAL
ejpam-6466	212	2	x(s	PERSON
ejpam-6466	214	1	x(s	PERSON
ejpam-6466	216	1	6	CARDINAL
ejpam-6466	216	2	2	CARDINAL
ejpam-6466	217	1	eu	ORG
ejpam-6466	218	1	4	CARDINAL
ejpam-6466	218	2	first	ORDINAL
ejpam-6466	219	1	1	CARDINAL
ejpam-6466	221	1	0	CARDINAL
ejpam-6466	221	2	∥z1∥ ∨ ∥z2∥ ≤	MONEY
ejpam-6466	221	3	∥v(τ	PRODUCT
ejpam-6466	223	1	∈	ORG
ejpam-6466	223	2	r.	NORP
ejpam-6466	225	1	m. i. liaqat et al	PERSON
ejpam-6466	226	1	j. pure	PERSON
ejpam-6466	226	2	18	CARDINAL
ejpam-6466	226	3	4	CARDINAL
ejpam-6466	226	4	2025	CARDINAL
ejpam-6466	226	5	6466 10	DATE
ejpam-6466	227	1	0	DATE
ejpam-6466	227	2	0	DATE
ejpam-6466	227	3	0	DATE
ejpam-6466	227	4	0	CARDINAL
ejpam-6466	227	5	∥v(τ	PRODUCT
ejpam-6466	227	6	0	CARDINAL
ejpam-6466	227	7	0	DATE
ejpam-6466	228	1	glc	PERSON
ejpam-6466	229	1	∀y1	PERSON
ejpam-6466	230	1	∥v(τ	PRODUCT
ejpam-6466	234	1	3	CARDINAL
ejpam-6466	235	1	34	CARDINAL
ejpam-6466	235	2	eu	ORG
ejpam-6466	235	3	two	CARDINAL
ejpam-6466	236	1	eu	ORG
ejpam-6466	237	1	3.1	CARDINAL
ejpam-6466	238	1	first	ORDINAL
ejpam-6466	239	1	4	CARDINAL
ejpam-6466	240	1	x(τ	PERSON
ejpam-6466	241	1	0	CARDINAL
ejpam-6466	241	2	7	CARDINAL
ejpam-6466	242	1	gφ(x(0	CARDINAL
ejpam-6466	243	1	φ ∈	ORG
ejpam-6466	243	2	c̃([−m	PRODUCT
ejpam-6466	243	3	0],rr	CARDINAL
ejpam-6466	243	4	∀τ ∈	ORG
ejpam-6466	244	1	0	CARDINAL
ejpam-6466	247	1	0	CARDINAL
ejpam-6466	247	2	x(s	PERSON
ejpam-6466	249	1	x(s	PERSON
ejpam-6466	256	1	∈	ORG
ejpam-6466	257	1	9	CARDINAL
ejpam-6466	257	2	m. i. liaqat et al	PERSON
ejpam-6466	258	1	j. pure	PERSON
ejpam-6466	258	2	18	CARDINAL
ejpam-6466	258	3	4	CARDINAL
ejpam-6466	258	4	2025	CARDINAL
ejpam-6466	258	5	6466 11	DATE
ejpam-6466	258	6	28	CARDINAL
ejpam-6466	258	7	1	CARDINAL
ejpam-6466	259	1	φ ∈	ORG
ejpam-6466	259	2	c̃([−m	PRODUCT
ejpam-6466	259	3	0],rr	CARDINAL
ejpam-6466	261	1	x(τ	PERSON
ejpam-6466	261	2	x(τ	PERSON
ejpam-6466	264	1	9	CARDINAL
ejpam-6466	266	1	0	CARDINAL
ejpam-6466	266	2	x(s	PERSON
ejpam-6466	267	1	+3e ∥∥∥∥∫	EVENT
ejpam-6466	267	2	x(s	PERSON
ejpam-6466	268	1	dws	PERSON
ejpam-6466	269	1	10	CARDINAL
ejpam-6466	270	1	10	CARDINAL
ejpam-6466	270	2	two	CARDINAL
ejpam-6466	272	1	0	CARDINAL
ejpam-6466	272	2	x(s	PERSON
ejpam-6466	273	1	x(s	GPE
ejpam-6466	274	1	2ξ−1	CARDINAL
ejpam-6466	274	2	2ξ	CARDINAL
ejpam-6466	274	3	1	CARDINAL
ejpam-6466	274	4	x(s	PERSON
ejpam-6466	276	1	2ξ	CARDINAL
ejpam-6466	276	2	x(s	GPE
ejpam-6466	276	3	11	CARDINAL
ejpam-6466	279	1	12	CARDINAL
ejpam-6466	280	1	12	CARDINAL
ejpam-6466	281	1	11	CARDINAL
ejpam-6466	282	1	0	CARDINAL
ejpam-6466	282	2	x(s),x(s−m	PERSON
ejpam-6466	282	3	2ξ	CARDINAL
ejpam-6466	282	4	1	CARDINAL
ejpam-6466	282	5	2l2	CARDINAL
ejpam-6466	283	1	2ξ	CARDINAL
ejpam-6466	283	2	1	CARDINAL
ejpam-6466	283	3	2l2	CARDINAL
ejpam-6466	283	4	+ 2k2	PERSON
ejpam-6466	283	5	13	CARDINAL
ejpam-6466	285	1	x(s	PERSON
ejpam-6466	286	1	x(s	PERSON
ejpam-6466	287	1	x(s	PERSON
ejpam-6466	289	1	2ξ	CARDINAL
ejpam-6466	289	2	1	CARDINAL
ejpam-6466	289	3	x(s	PERSON
ejpam-6466	290	1	m. i. liaqat et al	PERSON
ejpam-6466	291	1	j. pure	PERSON
ejpam-6466	291	2	18	CARDINAL
ejpam-6466	291	3	4	CARDINAL
ejpam-6466	291	4	2025	CARDINAL
ejpam-6466	291	5	6466 12	DATE
ejpam-6466	291	6	28 ≤ e	QUANTITY
ejpam-6466	291	7	2ξ	CARDINAL
ejpam-6466	291	8	x(s	PERSON
ejpam-6466	293	1	14	CARDINAL
ejpam-6466	293	2	x(s	PERSON
ejpam-6466	297	1	15	CARDINAL
ejpam-6466	298	1	15	CARDINAL
ejpam-6466	299	1	14	CARDINAL
ejpam-6466	300	1	x(s	PERSON
ejpam-6466	302	1	2ξ	CARDINAL
ejpam-6466	302	2	1	CARDINAL
ejpam-6466	302	3	2l2	CARDINAL
ejpam-6466	303	1	16	CARDINAL
ejpam-6466	303	2	eqs	ORG
ejpam-6466	304	1	16	CARDINAL
ejpam-6466	304	2	13	CARDINAL
ejpam-6466	304	3	10	CARDINAL
ejpam-6466	305	1	6ℏ2ξ−1 2ξ	CARDINAL
ejpam-6466	305	2	1	CARDINAL
ejpam-6466	305	3	1	CARDINAL
ejpam-6466	305	4	2l2	CARDINAL
ejpam-6466	308	1	17	CARDINAL
ejpam-6466	309	1	eu	ORG
ejpam-6466	309	2	2	CARDINAL
ejpam-6466	311	1	1 2	CARDINAL
ejpam-6466	311	2	2ξ−1	CARDINAL
ejpam-6466	311	3	18	CARDINAL
ejpam-6466	312	1	1)υ	ORDINAL
ejpam-6466	314	1	19	CARDINAL
ejpam-6466	317	1	2ξ	CARDINAL
ejpam-6466	317	2	1	CARDINAL
ejpam-6466	317	3	υ(2ξ	ORG
ejpam-6466	317	4	1	CARDINAL
ejpam-6466	317	5	0	CARDINAL
ejpam-6466	317	6	1	DATE
ejpam-6466	317	7	2	DATE
ejpam-6466	318	1	1	CARDINAL
ejpam-6466	318	2	ϑυ+1τ	ORG
ejpam-6466	318	3	γ(2ξ	ORG
ejpam-6466	318	4	1)γ(υ(2ξ	CARDINAL
ejpam-6466	318	5	1	CARDINAL
ejpam-6466	318	6	m. i. liaqat et al	PERSON
ejpam-6466	319	1	j. pure	PERSON
ejpam-6466	319	2	18	CARDINAL
ejpam-6466	319	3	4	CARDINAL
ejpam-6466	319	4	2025	CARDINAL
ejpam-6466	319	5	6466 13	DATE
ejpam-6466	319	6	28	CARDINAL
ejpam-6466	319	7	1	CARDINAL
ejpam-6466	320	1	2ξ−1	CARDINAL
ejpam-6466	322	1	2.1	CARDINAL
ejpam-6466	324	1	19	CARDINAL
ejpam-6466	326	1	35	CARDINAL
ejpam-6466	326	2	2.1	CARDINAL
ejpam-6466	328	1	19	CARDINAL
ejpam-6466	330	1	2.1	CARDINAL
ejpam-6466	332	1	19	CARDINAL
ejpam-6466	334	1	1	CARDINAL
ejpam-6466	336	1	4	CARDINAL
ejpam-6466	336	2	x(0	PERSON
ejpam-6466	337	1	φ ∈	ORG
ejpam-6466	337	2	c̃([−m	PRODUCT
ejpam-6466	337	3	0],rr	CARDINAL
ejpam-6466	339	1	first	ORDINAL
ejpam-6466	339	2	8l2(ℏ+	CARDINAL
ejpam-6466	339	3	1	CARDINAL
ejpam-6466	340	1	20	CARDINAL
ejpam-6466	341	1	ϑ(τ	GPE
ejpam-6466	341	2	1 2	CARDINAL
ejpam-6466	341	3	∀ x(τ	GPE
ejpam-6466	342	1	21	CARDINAL
ejpam-6466	342	2	∈	PRODUCT
ejpam-6466	342	3	c̃([−m	PRODUCT
ejpam-6466	342	4	0],rr	CARDINAL
ejpam-6466	344	1	x(τ	PERSON
ejpam-6466	344	2	x̃(τ	ORG
ejpam-6466	345	1	0	CARDINAL
ejpam-6466	345	2	eqs	ORG
ejpam-6466	346	1	7	CARDINAL
ejpam-6466	348	1	v(s	NORP
ejpam-6466	348	2	x(s	GPE
ejpam-6466	348	3	x(s−m)−v(s	GPE
ejpam-6466	348	4	x̃(s	GPE
ejpam-6466	348	5	x̃(s−m	ORG
ejpam-6466	349	1	𭟋(s	ORDINAL
ejpam-6466	349	2	x(s	PERSON
ejpam-6466	349	3	x̃(s	PERSON
ejpam-6466	349	4	x̃(s−m	ORG
ejpam-6466	351	1	22	CARDINAL
ejpam-6466	352	1	22	CARDINAL
ejpam-6466	352	2	two	CARDINAL
ejpam-6466	353	1	v(s	NORP
ejpam-6466	353	2	x(s	GPE
ejpam-6466	353	3	x(s−m)−v(s	GPE
ejpam-6466	353	4	x̃(s	GPE
ejpam-6466	353	5	x̃(s−m	ORG
ejpam-6466	353	6	2ℏ	CARDINAL
ejpam-6466	353	7	m. i. liaqat et al	PERSON
ejpam-6466	354	1	j. pure	PERSON
ejpam-6466	354	2	18	CARDINAL
ejpam-6466	354	3	4	CARDINAL
ejpam-6466	354	4	2025	CARDINAL
ejpam-6466	354	5	6466 14 of 28∫	DATE
ejpam-6466	354	6	0	CARDINAL
ejpam-6466	356	1	23	CARDINAL
ejpam-6466	357	1	𭟋(s	ORDINAL
ejpam-6466	357	2	x(s	PERSON
ejpam-6466	357	3	x̃(s	PERSON
ejpam-6466	357	4	x̃(s−m	ORG
ejpam-6466	358	1	0	CARDINAL
ejpam-6466	361	1	24	CARDINAL
ejpam-6466	361	2	eqs	CARDINAL
ejpam-6466	362	1	24	CARDINAL
ejpam-6466	362	2	23	CARDINAL
ejpam-6466	363	1	22	CARDINAL
ejpam-6466	365	1	0	CARDINAL
ejpam-6466	365	2	x̃(s)∥2+ e∥x(s−m)−	ORG
ejpam-6466	366	1	25	CARDINAL
ejpam-6466	366	2	lemma 2	ORG
ejpam-6466	366	3	∀τ ∈	ORG
ejpam-6466	367	1	0	CARDINAL
ejpam-6466	368	1	1	CARDINAL
ejpam-6466	370	1	26	CARDINAL
ejpam-6466	370	2	21	CARDINAL
ejpam-6466	370	3	x̃(τ)∥	PERSON
ejpam-6466	370	4	27	CARDINAL
ejpam-6466	370	5	γ(2ξ	ORG
ejpam-6466	370	6	1)4l	CARDINAL
ejpam-6466	370	7	1 2	CARDINAL
ejpam-6466	372	1	20	CARDINAL
ejpam-6466	373	1	only one	CARDINAL
ejpam-6466	373	2	x(τ	PERSON
ejpam-6466	375	1	4	CARDINAL
ejpam-6466	375	2	x(0	PERSON
ejpam-6466	378	1	eu	ORG
ejpam-6466	379	1	2	CARDINAL
ejpam-6466	381	1	4	CARDINAL
ejpam-6466	381	2	x(0	PERSON
ejpam-6466	382	1	φ ∈	ORG
ejpam-6466	382	2	c̃([−m	PRODUCT
ejpam-6466	382	3	0],rr	CARDINAL
ejpam-6466	384	1	1	CARDINAL
ejpam-6466	385	1	x(s	PERSON
ejpam-6466	387	1	x(s	PERSON
ejpam-6466	387	2	m. i. liaqat et al	PERSON
ejpam-6466	388	1	j. pure	PERSON
ejpam-6466	388	2	18	CARDINAL
ejpam-6466	388	3	4	CARDINAL
ejpam-6466	388	4	2025	CARDINAL
ejpam-6466	388	5	6466 15	DATE
ejpam-6466	388	6	x(s	PERSON
ejpam-6466	390	1	x(s	PERSON
ejpam-6466	390	2	x(τ + δ),−m ≤ δ	PERSON
ejpam-6466	391	1	0	CARDINAL
ejpam-6466	392	1	lemma 2	ORG
ejpam-6466	397	1	28	CARDINAL
ejpam-6466	398	1	0	CARDINAL
ejpam-6466	400	1	∀τ ∈	ORG
ejpam-6466	401	1	0	CARDINAL
ejpam-6466	402	1	29	CARDINAL
ejpam-6466	403	1	28	CARDINAL
ejpam-6466	405	1	∥∥vυ+1	ORG
ejpam-6466	405	2	xυ+1(s−m)−vυ+1	ORG
ejpam-6466	406	1	∥∥vυ+1	ORG
ejpam-6466	406	2	xυ+1(s−m)−vυ	PERSON
ejpam-6466	407	1	∥∥𭟋υ+1	ORG
ejpam-6466	407	2	xυ+1(s−m)−𭟋υ+1	GPE
ejpam-6466	408	1	∥∥𭟋υ+1	ORG
ejpam-6466	409	1	30	CARDINAL
ejpam-6466	409	2	φ(s	GPE
ejpam-6466	414	1	≤δ≤s e	PERSON
ejpam-6466	415	1	∥∥xυ+1(δ)− xυ(δ	GPE
ejpam-6466	416	1	31	CARDINAL
ejpam-6466	416	2	0≤η≤τ	CARDINAL
ejpam-6466	417	1	0	CARDINAL
ejpam-6466	417	2	32	CARDINAL
ejpam-6466	418	1	29	CARDINAL
ejpam-6466	421	1	∈ ω	ORG
ejpam-6466	422	1	x(τ	PERSON
ejpam-6466	422	2	x(τ	PERSON
ejpam-6466	424	1	τ ∈	PERSON
ejpam-6466	425	1	0	CARDINAL
ejpam-6466	426	1	m. i. liaqat et al	PERSON
ejpam-6466	427	1	j. pure	PERSON
ejpam-6466	427	2	18	CARDINAL
ejpam-6466	427	3	4	CARDINAL
ejpam-6466	427	4	2025	CARDINAL
ejpam-6466	427	5	6466 16	DATE
ejpam-6466	427	6	28	CARDINAL
ejpam-6466	427	7	x(τ	PERSON
ejpam-6466	428	1	4	CARDINAL
ejpam-6466	430	1	29	CARDINAL
ejpam-6466	430	2	x(τ ∧	PERSON
ejpam-6466	433	1	33	CARDINAL
ejpam-6466	434	1	28	CARDINAL
ejpam-6466	434	2	x(τ ∧	PERSON
ejpam-6466	434	3	0	CARDINAL
ejpam-6466	435	1	x(s	PERSON
ejpam-6466	436	1	0	CARDINAL
ejpam-6466	436	2	x(s	PERSON
ejpam-6466	438	1	34	CARDINAL
ejpam-6466	439	1	4	CARDINAL
ejpam-6466	439	2	x(τ	PERSON
ejpam-6466	441	1	2	CARDINAL
ejpam-6466	441	2	x̃	ORG
ejpam-6466	442	1	4	CARDINAL
ejpam-6466	443	1	1	CARDINAL
ejpam-6466	444	1	ℏ ∧ inf{τ ∈	ORG
ejpam-6466	445	1	0	CARDINAL
ejpam-6466	446	1	0	CARDINAL
ejpam-6466	447	1	∧ λ̃υ	ORG
ejpam-6466	450	1	0	CARDINAL
ejpam-6466	450	2	x(s	PERSON
ejpam-6466	450	3	x̃(s−m	ORG
ejpam-6466	451	1	0	CARDINAL
ejpam-6466	451	2	x(s	PERSON
ejpam-6466	451	3	x(s−m)−𭟋	ORG
ejpam-6466	451	4	x̃(s−m	ORG
ejpam-6466	453	1	35	CARDINAL
ejpam-6466	453	2	x̃(τ	ORG
ejpam-6466	455	1	4(ℏ+	CARDINAL
ejpam-6466	456	1	0≤δ≤s	CARDINAL
ejpam-6466	457	1	36	CARDINAL
ejpam-6466	457	2	0≤τ≤ℏ	CARDINAL
ejpam-6466	458	1	0	CARDINAL
ejpam-6466	459	1	37	CARDINAL
ejpam-6466	459	2	0≤τ≤ℏ	CARDINAL
ejpam-6466	465	1	38	CARDINAL
ejpam-6466	465	2	m. i. liaqat et al	PERSON
ejpam-6466	466	1	j. pure	PERSON
ejpam-6466	466	2	18	CARDINAL
ejpam-6466	466	3	4	CARDINAL
ejpam-6466	466	4	2025	CARDINAL
ejpam-6466	466	5	6466 17	DATE
ejpam-6466	466	6	28	CARDINAL
ejpam-6466	466	7	x(τ	PERSON
ejpam-6466	466	8	x(τ	PERSON
ejpam-6466	466	9	x̃(τ	ORG
ejpam-6466	468	1	φ	ORG
ejpam-6466	469	1	3	CARDINAL
ejpam-6466	470	1	∈	ORG
ejpam-6466	470	2	0],rr	CARDINAL
ejpam-6466	470	3	4	CARDINAL
ejpam-6466	470	4	φ	ORG
ejpam-6466	470	5	lim	PERSON
ejpam-6466	470	6	ξ(τ	GPE
ejpam-6466	470	7	β)∥ms	GPE
ejpam-6466	470	8	0	CARDINAL
ejpam-6466	471	1	39	CARDINAL
ejpam-6466	472	1	φ	ORG
ejpam-6466	472	2	∈	ORG
ejpam-6466	472	3	0],rr	CARDINAL
ejpam-6466	474	1	4	CARDINAL
ejpam-6466	475	1	9	CARDINAL
ejpam-6466	475	2	lemma 2	ORG
ejpam-6466	476	1	[ ∥φ− β∥2 ]	PERSON
ejpam-6466	477	1	1	CARDINAL
ejpam-6466	477	2	6l2(τ + 1	DATE
ejpam-6466	477	3	φ)− ℧ξ(s	ORG
ejpam-6466	478	1	40	CARDINAL
ejpam-6466	479	1	1−	CARDINAL
ejpam-6466	479	2	1	CARDINAL
ejpam-6466	479	3	6l2(τ + 1	DATE
ejpam-6466	481	1	41	CARDINAL
ejpam-6466	481	2	20	CARDINAL
ejpam-6466	481	3	ξ(τ	GPE
ejpam-6466	481	4	lim	PERSON
ejpam-6466	482	1	0	CARDINAL
ejpam-6466	483	1	42	CARDINAL
ejpam-6466	483	2	ξ̃	PRODUCT
ejpam-6466	484	1	4	CARDINAL
ejpam-6466	487	1	4	CARDINAL
ejpam-6466	487	2	lim ξ̃→ξ	PERSON
ejpam-6466	487	3	φ)− ℧ξ̃(τ	ORG
ejpam-6466	487	4	0	CARDINAL
ejpam-6466	488	1	43	CARDINAL
ejpam-6466	488	2	m. i. liaqat et al	PERSON
ejpam-6466	489	1	j. pure	PERSON
ejpam-6466	489	2	18	CARDINAL
ejpam-6466	489	3	4	CARDINAL
ejpam-6466	489	4	2025	CARDINAL
ejpam-6466	489	5	6466 18	DATE
ejpam-6466	489	6	28	CARDINAL
ejpam-6466	490	1	12	CARDINAL
ejpam-6466	490	2	1	CARDINAL
ejpam-6466	491	1	φ ∈	PERSON
ejpam-6466	491	2	c̃([−m	PRODUCT
ejpam-6466	491	3	0],rr	CARDINAL
ejpam-6466	492	1	ξ̃(.,φ	PERSON
ejpam-6466	493	1	4	CARDINAL
ejpam-6466	494	1	9	CARDINAL
ejpam-6466	494	2	φ)− ℧ξ̃(τ	ORG
ejpam-6466	494	3	φ)− ℧ξ̃(s	ORG
ejpam-6466	494	4	2 ] e2ξ−1(ϑ(s +	DATE
ejpam-6466	495	1	0	CARDINAL
ejpam-6466	495	2	e2ξ−1(ϑ(s +	TIME
ejpam-6466	496	1	+ 1	DATE
ejpam-6466	496	2	4l2	CARDINAL
ejpam-6466	497	1	2	CARDINAL
ejpam-6466	498	1	s	GPE
ejpam-6466	498	2	φ	GPE
ejpam-6466	498	3	2	CARDINAL
ejpam-6466	498	4	44	DATE
ejpam-6466	499	1	λ(τ	GPE
ejpam-6466	499	2	s	GPE
ejpam-6466	499	3	φ	GPE
ejpam-6466	501	1	45	CARDINAL
ejpam-6466	501	2	2	CARDINAL
ejpam-6466	502	1	1−8(ℏ+ 1)l2γ(2ξ	CARDINAL
ejpam-6466	502	2	1	CARDINAL
ejpam-6466	502	3	φ)− ℧ξ̃(τ	ORG
ejpam-6466	502	4	2	CARDINAL
ejpam-6466	502	5	1)4(τ + 1	DATE
ejpam-6466	502	6	4l2	CARDINAL
ejpam-6466	502	7	2 + 2l2∥φ∥2ms	DATE
ejpam-6466	504	1	s	GPE
ejpam-6466	504	2	φ	GPE
ejpam-6466	504	3	2	CARDINAL
ejpam-6466	506	1	s	GPE
ejpam-6466	506	2	φ	GPE
ejpam-6466	506	3	2	CARDINAL
ejpam-6466	506	4	0	CARDINAL
ejpam-6466	507	1	0	CARDINAL
ejpam-6466	507	2	2ξ	CARDINAL
ejpam-6466	507	3	1 +	DATE
ejpam-6466	507	4	2ξ̃	CARDINAL
ejpam-6466	510	1	1	CARDINAL
ejpam-6466	511	1	lim ξ̃→ξ	PERSON
ejpam-6466	511	2	s	GPE
ejpam-6466	511	3	φ	GPE
ejpam-6466	511	4	2	CARDINAL
ejpam-6466	511	5	0	CARDINAL
ejpam-6466	511	6	4	CARDINAL
ejpam-6466	513	1	3.2	CARDINAL
ejpam-6466	515	1	m. i. liaqat et al	PERSON
ejpam-6466	516	1	j. pure	PERSON
ejpam-6466	516	2	18	CARDINAL
ejpam-6466	516	3	4	CARDINAL
ejpam-6466	516	4	2025	CARDINAL
ejpam-6466	516	5	6466 19	DATE
ejpam-6466	516	6	28	CARDINAL
ejpam-6466	517	1	φ	ORG
ejpam-6466	517	2	∀τ	GPE
ejpam-6466	518	1	0	CARDINAL
ejpam-6466	518	2	α̃|ξ−	CARDINAL
ejpam-6466	524	1	three	CARDINAL
ejpam-6466	525	1	1	CARDINAL
ejpam-6466	526	1	0	CARDINAL
ejpam-6466	527	1	0	CARDINAL
ejpam-6466	528	1	9	CARDINAL
ejpam-6466	528	2	1 4	CARDINAL
ejpam-6466	528	3	sξ−1v(s,℧ξ(s	WORK_OF_ART
ejpam-6466	530	1	∈	ORG
ejpam-6466	530	2	0	CARDINAL
ejpam-6466	530	3	ξ(τ	PERSON
ejpam-6466	531	1	42	CARDINAL
ejpam-6466	532	1	3.2	CARDINAL
ejpam-6466	532	2	1 4	CARDINAL
ejpam-6466	533	1	4l2k1 + 2l2e∥φ∥2 2ξ	MONEY
ejpam-6466	533	2	1	CARDINAL
ejpam-6466	535	1	1 2	CARDINAL
ejpam-6466	535	2	4	CARDINAL
ejpam-6466	535	3	1	CARDINAL
ejpam-6466	535	4	2ξ	CARDINAL
ejpam-6466	535	5	1	CARDINAL
ejpam-6466	535	6	0	CARDINAL
ejpam-6466	536	1	2	CARDINAL
ejpam-6466	536	2	∈	ORG
ejpam-6466	537	1	φ	ORG
ejpam-6466	537	2	ξ(τ	GPE
ejpam-6466	537	3	0	CARDINAL
ejpam-6466	537	4	eqs	ORG
ejpam-6466	538	1	5	CARDINAL
ejpam-6466	538	2	6	CARDINAL
ejpam-6466	539	1	1 2	CARDINAL
ejpam-6466	540	1	3	CARDINAL
ejpam-6466	540	2	0 ≤ τ ≤	QUANTITY
ejpam-6466	540	3	1	CARDINAL
ejpam-6466	540	4	2	CARDINAL
ejpam-6466	540	5	ξ(τ	GPE
ejpam-6466	540	6	m. i. liaqat et al	PERSON
ejpam-6466	541	1	j. pure	PERSON
ejpam-6466	541	2	18	CARDINAL
ejpam-6466	541	3	4	CARDINAL
ejpam-6466	541	4	2025	CARDINAL
ejpam-6466	541	5	6466 20 of 28	DATE
ejpam-6466	541	6	1 2 + ρ1	DATE
ejpam-6466	542	1	0	CARDINAL
ejpam-6466	543	1	0	CARDINAL
ejpam-6466	543	2	1	CARDINAL
ejpam-6466	543	3	0	CARDINAL
ejpam-6466	543	4	12	CARDINAL
ejpam-6466	545	1	ρ = max(ρ1	PERSON
ejpam-6466	545	2	3 2	DATE
ejpam-6466	547	1	3.3	CARDINAL
ejpam-6466	549	1	3	CARDINAL
ejpam-6466	551	1	4	CARDINAL
ejpam-6466	552	1	j(τ	ORG
ejpam-6466	553	1	0	CARDINAL
ejpam-6466	553	2	∀τ ∈	ORG
ejpam-6466	554	1	0	CARDINAL
ejpam-6466	554	2	j(s−m	ORG
ejpam-6466	554	3	j(s−m	ORG
ejpam-6466	555	1	2	CARDINAL
ejpam-6466	555	2	x(τ	PERSON
ejpam-6466	556	1	0	CARDINAL
ejpam-6466	556	2	4	CARDINAL
ejpam-6466	556	3	x0	ORG
ejpam-6466	556	4	τ ∈	PERSON
ejpam-6466	556	5	∀τ ∈	ORG
ejpam-6466	557	1	0	CARDINAL
ejpam-6466	558	1	6	CARDINAL
ejpam-6466	559	1	df	ORG
ejpam-6466	560	1	4	CARDINAL
ejpam-6466	560	2	0	CARDINAL
ejpam-6466	562	1	j(τ	ORG
ejpam-6466	563	1	0	CARDINAL
ejpam-6466	564	1	3	CARDINAL
ejpam-6466	565	1	x(τ	PERSON
ejpam-6466	566	1	0	CARDINAL
ejpam-6466	567	1	4	CARDINAL
ejpam-6466	567	2	x(τ	PERSON
ejpam-6466	568	1	j(τ	PERSON
ejpam-6466	569	1	x(τ	PERSON
ejpam-6466	570	1	x(s	PERSON
ejpam-6466	572	1	x(s	PERSON
ejpam-6466	573	1	∥∥∥∥j(τ)−	ORG
ejpam-6466	574	1	j(s−m	ORG
ejpam-6466	576	1	j(s−m	ORG
ejpam-6466	578	1	j(s−m	ORG
ejpam-6466	578	2	x(s	PERSON
ejpam-6466	578	3	ds m. i. liaqat et al	PERSON
ejpam-6466	579	1	j. pure	PERSON
ejpam-6466	579	2	18	CARDINAL
ejpam-6466	579	3	4	CARDINAL
ejpam-6466	579	4	2025	CARDINAL
ejpam-6466	579	5	6466 21	DATE
ejpam-6466	579	6	j(s−m	ORG
ejpam-6466	580	1	x(s	PERSON
ejpam-6466	584	1	j(s−m	ORG
ejpam-6466	584	2	x(s	PERSON
ejpam-6466	586	1	+ 4e	CARDINAL
ejpam-6466	586	2	j(s−m	ORG
ejpam-6466	587	1	x(s	PERSON
ejpam-6466	587	2	2ξ	CARDINAL
ejpam-6466	587	3	1	CARDINAL
ejpam-6466	592	1	ϕ(τ	CARDINAL
ejpam-6466	593	1	sups∈[0,ℏ]e	PERSON
ejpam-6466	594	1	0	CARDINAL
ejpam-6466	595	1	∥j(s−m)−	ORDINAL
ejpam-6466	596	1	∈	ORG
ejpam-6466	597	1	0	CARDINAL
ejpam-6466	599	1	0	CARDINAL
ejpam-6466	599	2	≤2ϵ+ 16l2ℏ2ξ−1	DATE
ejpam-6466	599	3	2ξ	CARDINAL
ejpam-6466	599	4	1	CARDINAL
ejpam-6466	601	1	+ 16l2	DATE
ejpam-6466	601	2	∫	ORG
ejpam-6466	601	3	s2ξ−2ϕ(s)ds	PERSON
ejpam-6466	602	1	∀τ ∈	ORG
ejpam-6466	603	1	0	CARDINAL
ejpam-6466	603	2	≤2ϵ+ 16l2ℏ2ξ−1	DATE
ejpam-6466	603	3	2ξ	CARDINAL
ejpam-6466	603	4	1	CARDINAL
ejpam-6466	604	1	+ 16l2	DATE
ejpam-6466	604	2	∫	ORG
ejpam-6466	604	3	s2ξ−2ϕ(s)ds	PERSON
ejpam-6466	605	1	ϕ(τ	CARDINAL
ejpam-6466	605	2	s2ξ−2ϕ(s)ds	PERSON
ejpam-6466	606	1	0	CARDINAL
ejpam-6466	606	2	16l2ℏ2ξ−1	CARDINAL
ejpam-6466	606	3	2ξ−1	CARDINAL
ejpam-6466	607	1	ϕ(τ	CARDINAL
ejpam-6466	608	1	2ϵ+	CARDINAL
ejpam-6466	608	2	γ2γ(2ξ	ORG
ejpam-6466	608	3	1	CARDINAL
ejpam-6466	608	4	m. i. liaqat et al	PERSON
ejpam-6466	609	1	j. pure	PERSON
ejpam-6466	609	2	18	CARDINAL
ejpam-6466	609	3	4	CARDINAL
ejpam-6466	609	4	2025	CARDINAL
ejpam-6466	609	5	6466 22	DATE
ejpam-6466	609	6	28 ≤	QUANTITY
ejpam-6466	609	7	2e2ξ−1	CARDINAL
ejpam-6466	609	8	γ2γ(2ξ	ORG
ejpam-6466	609	9	1)ℏ2ξ−1	ORDINAL
ejpam-6466	609	10	γ2γ(2ξ	ORG
ejpam-6466	609	11	1)x2ξ−1	CARDINAL
ejpam-6466	610	1	ϕ(τ	CARDINAL
ejpam-6466	612	1	e[∥j(τ)−	NORP
ejpam-6466	612	2	∀τ ∈	PERSON
ejpam-6466	613	1	0	CARDINAL
ejpam-6466	614	1	4	CARDINAL
ejpam-6466	615	1	4	CARDINAL
ejpam-6466	617	1	1	CARDINAL
ejpam-6466	619	1	1 2	CARDINAL
ejpam-6466	619	2	1	CARDINAL
ejpam-6466	619	3	28	CARDINAL
ejpam-6466	620	1	1	CARDINAL
ejpam-6466	620	2	28	CARDINAL
ejpam-6466	620	3	ω ∈	ORG
ejpam-6466	620	4	− m	PERSON
ejpam-6466	621	1	model eqs	PERSON
ejpam-6466	622	1	4	CARDINAL
ejpam-6466	622	2	4	CARDINAL
ejpam-6466	622	3	36	CARDINAL
ejpam-6466	622	4	1	CARDINAL
ejpam-6466	623	1	0.1	CARDINAL
ejpam-6466	623	2	0.5	CARDINAL
ejpam-6466	623	3	ω	CARDINAL
ejpam-6466	623	4	1	CARDINAL
ejpam-6466	624	1	glc	PERSON
ejpam-6466	624	2	ω	CARDINAL
ejpam-6466	625	1	4	CARDINAL
ejpam-6466	626	1	1	CARDINAL
ejpam-6466	626	2	x(τ	PERSON
ejpam-6466	627	1	1	CARDINAL
ejpam-6466	627	2	2	CARDINAL
ejpam-6466	627	3	mackey	PERSON
ejpam-6466	630	1	1 2	CARDINAL
ejpam-6466	630	2	1	CARDINAL
ejpam-6466	630	3	28	CARDINAL
ejpam-6466	630	4	0.5	CARDINAL
ejpam-6466	630	5	28	CARDINAL
ejpam-6466	630	6	1+x10(τ−m	DATE
ejpam-6466	631	1	1	CARDINAL
ejpam-6466	631	2	37	CARDINAL
ejpam-6466	631	3	eqs	ORG
ejpam-6466	632	1	3.2	CARDINAL
ejpam-6466	632	2	3.2	CARDINAL
ejpam-6466	633	1	5	CARDINAL
ejpam-6466	634	1	2	CARDINAL
ejpam-6466	635	1	2	CARDINAL
ejpam-6466	636	1	glc	PERSON
ejpam-6466	636	2	1+x10(τ−m	DATE
ejpam-6466	638	1	3.2	CARDINAL
ejpam-6466	639	1	0.5	CARDINAL
ejpam-6466	639	2	1	CARDINAL
ejpam-6466	641	1	3	CARDINAL
ejpam-6466	642	1	p(τ),p(τ	GPE
ejpam-6466	643	1	+𭟋(τ	PERSON
ejpam-6466	645	1	v(τ	PERSON
ejpam-6466	648	1	m. i. liaqat et al	PERSON
ejpam-6466	649	1	j. pure	PERSON
ejpam-6466	649	2	18	CARDINAL
ejpam-6466	649	3	4	CARDINAL
ejpam-6466	649	4	2025	CARDINAL
ejpam-6466	649	5	6466 23	DATE
ejpam-6466	649	6	28 •	CARDINAL
ejpam-6466	649	7	0	CARDINAL
ejpam-6466	649	8	•	CARDINAL
ejpam-6466	649	9	•	CARDINAL
ejpam-6466	649	10	0.2p(τ −m	QUANTITY
ejpam-6466	653	1	1.5 √ p(τ	TIME
ejpam-6466	655	1	•	CARDINAL
ejpam-6466	655	2	1.5	CARDINAL
ejpam-6466	656	1	•	CARDINAL
ejpam-6466	656	2	√ p(τ	PERSON
ejpam-6466	657	1	τp(τ	GPE
ejpam-6466	660	1	√ p(τ	PERSON
ejpam-6466	661	1	•	CARDINAL
ejpam-6466	661	2	•	CARDINAL
ejpam-6466	661	3	•	CARDINAL
ejpam-6466	662	1	euler	PERSON
ejpam-6466	662	2	maruyama	PERSON
ejpam-6466	666	1	m. i. liaqat et al	PERSON
ejpam-6466	667	1	j. pure	PERSON
ejpam-6466	667	2	18	CARDINAL
ejpam-6466	667	3	4	CARDINAL
ejpam-6466	667	4	2025	CARDINAL
ejpam-6466	667	5	6466 24	DATE
ejpam-6466	667	6	28	CARDINAL
ejpam-6466	667	7	100	CARDINAL
ejpam-6466	668	1	600	CARDINAL
ejpam-6466	668	2	0.7	CARDINAL
ejpam-6466	668	3	10	CARDINAL
ejpam-6466	668	4	100	CARDINAL
ejpam-6466	668	5	600	CARDINAL
ejpam-6466	668	6	0.8	CARDINAL
ejpam-6466	668	7	10	CARDINAL
ejpam-6466	668	8	100	CARDINAL
ejpam-6466	668	9	600	CARDINAL
ejpam-6466	668	10	0.85	CARDINAL
ejpam-6466	668	11	10	CARDINAL
ejpam-6466	668	12	100	CARDINAL
ejpam-6466	668	13	600	CARDINAL
ejpam-6466	668	14	0.9	CARDINAL
ejpam-6466	668	15	10	CARDINAL
ejpam-6466	668	16	1	CARDINAL
ejpam-6466	668	17	0.7	CARDINAL
ejpam-6466	668	18	0.8	CARDINAL
ejpam-6466	668	19	0.85	CARDINAL
ejpam-6466	668	20	0.9	CARDINAL
ejpam-6466	669	1	0.3	CARDINAL
ejpam-6466	670	1	1000	CARDINAL
ejpam-6466	670	2	1.5	CARDINAL
ejpam-6466	670	3	0.5 years	DATE
ejpam-6466	670	4	100	CARDINAL
ejpam-6466	672	1	4	CARDINAL
ejpam-6466	677	1	t(τ	NORP
ejpam-6466	677	2	t(τ	NORP
ejpam-6466	677	3	0	CARDINAL
ejpam-6466	678	1	0.5	CARDINAL
ejpam-6466	678	2	0.2	CARDINAL
ejpam-6466	680	1	20 + 5	DATE
ejpam-6466	680	2	2πτ	ORDINAL
ejpam-6466	681	1	m. i. liaqat et al	PERSON
ejpam-6466	682	1	j. pure	PERSON
ejpam-6466	682	2	18	CARDINAL
ejpam-6466	682	3	4	CARDINAL
ejpam-6466	682	4	2025	CARDINAL
ejpam-6466	682	5	6466 25	DATE
ejpam-6466	682	6	28	CARDINAL
ejpam-6466	682	7	𭟋(τ	PERSON
ejpam-6466	684	1	0.3 √	QUANTITY
ejpam-6466	685	1	euler	PERSON
ejpam-6466	686	1	2	CARDINAL
ejpam-6466	686	2	0	CARDINAL
ejpam-6466	686	3	24	CARDINAL
ejpam-6466	686	4	daily	DATE
ejpam-6466	686	5	0.7	CARDINAL
ejpam-6466	686	6	hours	TIME
ejpam-6466	686	7	1	CARDINAL
ejpam-6466	686	8	2	CARDINAL
ejpam-6466	686	9	3	CARDINAL
ejpam-6466	686	10	4	CARDINAL
ejpam-6466	686	11	5	CARDINAL
ejpam-6466	686	12	6	CARDINAL
ejpam-6466	686	13	7	CARDINAL
ejpam-6466	686	14	8	CARDINAL
ejpam-6466	686	15	9	CARDINAL
ejpam-6466	686	16	24	CARDINAL
ejpam-6466	686	17	daily	DATE
ejpam-6466	686	18	0.8	CARDINAL
ejpam-6466	686	19	hours	TIME
ejpam-6466	686	20	1	CARDINAL
ejpam-6466	686	21	2	CARDINAL
ejpam-6466	686	22	3	CARDINAL
ejpam-6466	686	23	4	CARDINAL
ejpam-6466	686	24	5	CARDINAL
ejpam-6466	686	25	6	CARDINAL
ejpam-6466	686	26	7	CARDINAL
ejpam-6466	686	27	8	CARDINAL
ejpam-6466	686	28	9	CARDINAL
ejpam-6466	686	29	24	CARDINAL
ejpam-6466	686	30	daily	DATE
ejpam-6466	686	31	0.85	CARDINAL
ejpam-6466	686	32	hours	TIME
ejpam-6466	686	33	1	CARDINAL
ejpam-6466	686	34	2	CARDINAL
ejpam-6466	686	35	3	CARDINAL
ejpam-6466	686	36	4	CARDINAL
ejpam-6466	686	37	5	CARDINAL
ejpam-6466	686	38	6	CARDINAL
ejpam-6466	686	39	7	CARDINAL
ejpam-6466	686	40	8	CARDINAL
ejpam-6466	686	41	9	CARDINAL
ejpam-6466	686	42	24	CARDINAL
ejpam-6466	686	43	daily	DATE
ejpam-6466	686	44	0.9	CARDINAL
ejpam-6466	686	45	hours	TIME
ejpam-6466	686	46	1	CARDINAL
ejpam-6466	686	47	2	CARDINAL
ejpam-6466	686	48	3	CARDINAL
ejpam-6466	686	49	4	CARDINAL
ejpam-6466	686	50	5	CARDINAL
ejpam-6466	686	51	6	CARDINAL
ejpam-6466	686	52	7	CARDINAL
ejpam-6466	686	53	8	CARDINAL
ejpam-6466	686	54	9	CARDINAL
ejpam-6466	686	55	2	CARDINAL
ejpam-6466	687	1	0.7	CARDINAL
ejpam-6466	687	2	0.8	CARDINAL
ejpam-6466	687	3	0.85	CARDINAL
ejpam-6466	687	4	0.9	CARDINAL
ejpam-6466	688	1	0.3	CARDINAL
ejpam-6466	689	1	1000	CARDINAL
ejpam-6466	689	2	1.5	CARDINAL
ejpam-6466	689	3	0.5 years	DATE
ejpam-6466	689	4	100	CARDINAL
ejpam-6466	691	1	m. i. liaqat et al	PERSON
ejpam-6466	692	1	j. pure	PERSON
ejpam-6466	692	2	18	CARDINAL
ejpam-6466	692	3	4	CARDINAL
ejpam-6466	692	4	2025	CARDINAL
ejpam-6466	692	5	6466 26	DATE
ejpam-6466	692	6	28 5	DATE
ejpam-6466	694	1	eu	ORG
ejpam-6466	694	2	two	CARDINAL
ejpam-6466	694	3	first	ORDINAL
ejpam-6466	695	1	second	ORDINAL
ejpam-6466	695	2	eu	ORG
ejpam-6466	697	1	two	CARDINAL
ejpam-6466	698	1	höld-i.	ORG
ejpam-6466	699	1	1	CARDINAL
ejpam-6466	699	2	w. chen	PERSON
ejpam-6466	699	3	h. sun	PERSON
ejpam-6466	699	4	x. li	PERSON
ejpam-6466	700	1	2022	CARDINAL
ejpam-6466	701	1	2	CARDINAL
ejpam-6466	701	2	r. p. agarwal	PERSON
ejpam-6466	703	1	2021(1	CARDINAL
ejpam-6466	703	2	2021	CARDINAL
ejpam-6466	704	1	3	CARDINAL
ejpam-6466	704	2	a. giusti	PERSON
ejpam-6466	704	3	i. colombaro	PERSON
ejpam-6466	704	4	r. garra	PERSON
ejpam-6466	704	5	r. garrappa	PERSON
ejpam-6466	704	6	f. polito	PERSON
ejpam-6466	704	7	m. popolizio	PERSON
ejpam-6466	704	8	f. mainardi	PERSON
ejpam-6466	705	1	prabhakar fractional calculus	ORG
ejpam-6466	706	1	23(1):9–54	CARDINAL
ejpam-6466	706	2	2020	DATE
ejpam-6466	707	1	4	CARDINAL
ejpam-6466	707	2	c. a. valentim	PERSON
ejpam-6466	707	3	j. a. rabi	PERSON
ejpam-6466	707	4	s. a. david	PERSON
ejpam-6466	709	1	biosystems	ORG
ejpam-6466	709	2	204:104377	CARDINAL
ejpam-6466	709	3	2021	DATE
ejpam-6466	710	1	5	CARDINAL
ejpam-6466	710	2	g. huang	PERSON
ejpam-6466	710	3	h. y. qin	PERSON
ejpam-6466	710	4	q. chen	PERSON
ejpam-6466	710	5	z. shi	PERSON
ejpam-6466	710	6	s. jiang	PERSON
ejpam-6466	710	7	c. huang	PERSON
ejpam-6466	712	1	8(1):37	CARDINAL
ejpam-6466	712	2	2024	DATE
ejpam-6466	713	1	6	CARDINAL
ejpam-6466	713	2	s. arora	PERSON
ejpam-6466	713	3	t. mathur	PERSON
ejpam-6466	713	4	s. agarwal	PERSON
ejpam-6466	713	5	k. tiwari	PERSON
ejpam-6466	713	6	p. gupta	PERSON
ejpam-6466	715	1	neurocomputing	ORG
ejpam-6466	715	2	489:407–428	CARDINAL
ejpam-6466	715	3	2022	CARDINAL
ejpam-6466	716	1	7	CARDINAL
ejpam-6466	716	2	t. alinei-poiana	PERSON
ejpam-6466	716	3	e. h. dulf	PERSON
ejpam-6466	716	4	l. kovacs	PERSON
ejpam-6466	718	1	13(1):10083	CARDINAL
ejpam-6466	718	2	2023	CARDINAL
ejpam-6466	719	1	8	CARDINAL
ejpam-6466	719	2	miguel vivas-cortez	PERSON
ejpam-6466	719	3	majeed a. yousif	PERSON
ejpam-6466	719	4	a. mahmood	PERSON
ejpam-6466	719	5	othman mohammed	PERSON
ejpam-6466	719	6	alina alb lupas	PERSON
ejpam-6466	721	1	17(1	CARDINAL
ejpam-6466	721	2	2025	DATE
ejpam-6466	722	1	9	CARDINAL
ejpam-6466	722	2	h. qu	PERSON
ejpam-6466	722	3	j. zhou	PERSON
ejpam-6466	724	1	471:108676	CARDINAL
ejpam-6466	724	2	2023	CARDINAL
ejpam-6466	725	1	10	CARDINAL
ejpam-6466	725	2	h. luo	PERSON
ejpam-6466	725	3	t. zhang	PERSON
ejpam-6466	727	1	236(10):1908–1921	CARDINAL
ejpam-6466	727	2	2022	CARDINAL
ejpam-6466	728	1	m. i. liaqat et al	PERSON
ejpam-6466	729	1	j. pure	PERSON
ejpam-6466	729	2	18	CARDINAL
ejpam-6466	729	3	4	CARDINAL
ejpam-6466	729	4	2025	CARDINAL
ejpam-6466	729	5	6466 27	DATE
ejpam-6466	730	1	11	CARDINAL
ejpam-6466	730	2	m. i. liaqat	PERSON
ejpam-6466	730	3	a. akgül	PERSON
ejpam-6466	730	4	m. de la sen	PERSON
ejpam-6466	730	5	m. bayram.	PERSON
ejpam-6466	732	1	15(3):744	CARDINAL
ejpam-6466	732	2	2023	CARDINAL
ejpam-6466	733	1	12	CARDINAL
ejpam-6466	733	2	t. zhang	PERSON
ejpam-6466	733	3	y. li	PERSON
ejpam-6466	735	1	2022	CARDINAL
ejpam-6466	736	1	13	CARDINAL
ejpam-6466	736	2	m. s. abdelouahab	PERSON
ejpam-6466	736	3	n. e. hamri	PERSON
ejpam-6466	738	1	mediterranean journal	ORG
ejpam-6466	738	2	13(2):557–572	DATE
ejpam-6466	738	3	2016	DATE
ejpam-6466	739	1	14	CARDINAL
ejpam-6466	739	2	c. e. t. ledesma	PERSON
ejpam-6466	739	3	m. c. m. bonilla	PERSON
ejpam-6466	741	1	6(4):65	CARDINAL
ejpam-6466	741	2	2021	CARDINAL
ejpam-6466	742	1	15	CARDINAL
ejpam-6466	742	2	majeed a. yousif	PERSON
ejpam-6466	742	3	faraidun k. hamasalh	PERSON
ejpam-6466	744	1	ain shams	PERSON
ejpam-6466	744	2	15(2):102415	CARDINAL
ejpam-6466	744	3	2024	DATE
ejpam-6466	745	1	16	CARDINAL
ejpam-6466	745	2	a. khan	PERSON
ejpam-6466	745	3	m. i. liaqat	PERSON
ejpam-6466	745	4	m. a. alqudah	PERSON
ejpam-6466	745	5	t. abdeljawad	PERSON
ejpam-6466	747	1	31(04):2340050	CARDINAL
ejpam-6466	747	2	2023	CARDINAL
ejpam-6466	748	1	17	CARDINAL
ejpam-6466	748	2	w. z. wu	PERSON
ejpam-6466	748	3	l. zeng	PERSON
ejpam-6466	748	4	c. liu	PERSON
ejpam-6466	748	5	w. xie	PERSON
ejpam-6466	748	6	m. goh	PERSON
ejpam-6466	750	1	155:111657	CARDINAL
ejpam-6466	750	2	2022	CARDINAL
ejpam-6466	751	1	18	CARDINAL
ejpam-6466	751	2	m. yavari	PERSON
ejpam-6466	751	3	a. nazemi	PERSON
ejpam-6466	753	1	101:78–90	DATE
ejpam-6466	753	2	2020	DATE
ejpam-6466	754	1	19	CARDINAL
ejpam-6466	754	2	z. korpinar	PERSON
ejpam-6466	754	3	f. tchier	PERSON
ejpam-6466	754	4	m. inc, f. bousbahi	ORG
ejpam-6466	754	5	f. m. tawfiq	PERSON
ejpam-6466	754	6	m. a. akinlar	PERSON
ejpam-6466	756	1	alexandria engineering journal	ORG
ejpam-6466	756	2	59(3):1485–1493	CARDINAL
ejpam-6466	756	3	2020	DATE
ejpam-6466	757	1	20	CARDINAL
ejpam-6466	757	2	s. albosaily	PERSON
ejpam-6466	757	3	e. m. elsayed	PERSON
ejpam-6466	757	4	m. d. albalwi	PERSON
ejpam-6466	757	5	m. alesemi	PERSON
ejpam-6466	757	6	w. w. mohammed	PERSON
ejpam-6466	759	1	7(11):787	DATE
ejpam-6466	759	2	2023	CARDINAL
ejpam-6466	760	1	21	CARDINAL
ejpam-6466	760	2	s. li	PERSON
ejpam-6466	760	3	s. u. khan	PERSON
ejpam-6466	760	4	m. b. riaz	PERSON
ejpam-6466	760	5	s. a. alqahtani	PERSON
ejpam-6466	760	6	a. m. alamri	PERSON
ejpam-6466	762	1	14(1):6930	CARDINAL
ejpam-6466	762	2	2024	DATE
ejpam-6466	763	1	22	CARDINAL
ejpam-6466	763	2	q. wang	PERSON
ejpam-6466	763	3	f. chen	PERSON
ejpam-6466	763	4	f. huang	PERSON
ejpam-6466	765	1	37(1):90–107	CARDINAL
ejpam-6466	765	2	2016	DATE
ejpam-6466	766	1	23	CARDINAL
ejpam-6466	766	2	o. kahouli	PERSON
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