id	sid	eid	entity	type
ejpam-6388	1	1	european journal	ORG
ejpam-6388	1	2	2025	DATE
ejpam-6388	1	3	18	CARDINAL
ejpam-6388	1	4	4	CARDINAL
ejpam-6388	1	5	6388	CARDINAL
ejpam-6388	1	6	1307-5543	DATE
ejpam-6388	1	7	new york	GPE
ejpam-6388	1	8	mahammad khuddush3	PERSON
ejpam-6388	2	1	krushna4	PERSON
ejpam-6388	2	2	1	CARDINAL
ejpam-6388	2	3	lebanese	NORP
ejpam-6388	2	4	american university	ORG
ejpam-6388	2	5	beirut	GPE
ejpam-6388	2	6	1102 2801	DATE
ejpam-6388	2	7	lebanon 2 institute of space sciences	ORG
ejpam-6388	2	8	magurele	GPE
ejpam-6388	2	9	bucharest	GPE
ejpam-6388	2	10	077125	DATE
ejpam-6388	2	11	romania 3	DATE
ejpam-6388	2	12	anand international college of engineering	ORG
ejpam-6388	2	13	jaipur 303012	GPE
ejpam-6388	2	14	india 4	ORG
ejpam-6388	2	15	535 005	CARDINAL
ejpam-6388	2	16	andhra pradesh	ORG
ejpam-6388	2	17	india	GPE
ejpam-6388	2	18	5	CARDINAL
ejpam-6388	2	19	jhunjhunwala college	ORG
ejpam-6388	2	20	mumbai	GPE
ejpam-6388	2	21	400 086	CARDINAL
ejpam-6388	2	22	maharashtra	NORP
ejpam-6388	2	23	india	GPE
ejpam-6388	3	1	riemann–liouville	PERSON
ejpam-6388	5	1	1	CARDINAL
ejpam-6388	5	2	2	CARDINAL
ejpam-6388	6	1	3	CARDINAL
ejpam-6388	9	1	2020	DATE
ejpam-6388	9	2	34a08	CARDINAL
ejpam-6388	9	3	47h10	CARDINAL
ejpam-6388	9	4	54h25	CARDINAL
ejpam-6388	10	1	d.	NORP
ejpam-6388	10	2	m. khuddush	PERSON
ejpam-6388	10	3	sankettikare@rjcollege.edu.in	DATE
ejpam-6388	10	4	1	CARDINAL
ejpam-6388	11	1	2025	CARDINAL
ejpam-6388	13	1	j. pure	PERSON
ejpam-6388	13	2	18	CARDINAL
ejpam-6388	13	3	4	CARDINAL
ejpam-6388	13	4	2025	CARDINAL
ejpam-6388	13	5	6388 2 of 31 1	DATE
ejpam-6388	16	1	4	CARDINAL
ejpam-6388	16	2	5	CARDINAL
ejpam-6388	17	1	6–11	CARDINAL
ejpam-6388	18	1	the 17th century	DATE
ejpam-6388	18	2	leibniz	PERSON
ejpam-6388	18	3	riemann	PERSON
ejpam-6388	18	4	the 19th century	DATE
ejpam-6388	18	5	6	CARDINAL
ejpam-6388	19	1	the 20th century	DATE
ejpam-6388	20	1	12	CARDINAL
ejpam-6388	20	2	13	CARDINAL
ejpam-6388	21	1	14	CARDINAL
ejpam-6388	21	2	15	CARDINAL
ejpam-6388	25	1	zhao et al	PERSON
ejpam-6388	26	1	1	CARDINAL
ejpam-6388	26	2	riemann	PERSON
ejpam-6388	26	3	0+ [ r(ω) f(ω, r(ω	DATE
ejpam-6388	27	1	g(ω, r(ω	ORG
ejpam-6388	28	1	1	CARDINAL
ejpam-6388	29	1	0	CARDINAL
ejpam-6388	31	1	hilal	PERSON
ejpam-6388	32	1	2	CARDINAL
ejpam-6388	34	1	g(ω, r(ω	ORG
ejpam-6388	35	1	1	CARDINAL
ejpam-6388	35	2	f(0	PERSON
ejpam-6388	36	1	r(ξ	PERSON
ejpam-6388	36	2	r(ξ	PERSON
ejpam-6388	39	1	j. pure	PERSON
ejpam-6388	39	2	18	CARDINAL
ejpam-6388	39	3	4	CARDINAL
ejpam-6388	39	4	2025	CARDINAL
ejpam-6388	39	5	6388 3 of 31	DATE
ejpam-6388	39	6	0+ [ r(ω) f(ω, r(ω	DATE
ejpam-6388	41	1	0	CARDINAL
ejpam-6388	42	1	0 ≤ ω	MONEY
ejpam-6388	42	2	1	CARDINAL
ejpam-6388	42	3	0	CARDINAL
ejpam-6388	42	4	r(1	ORG
ejpam-6388	43	1	1	CARDINAL
ejpam-6388	43	2	r(1	ORG
ejpam-6388	43	3	2	CARDINAL
ejpam-6388	43	4	1 <	QUANTITY
ejpam-6388	43	5	riemann	PERSON
ejpam-6388	43	6	1	CARDINAL
ejpam-6388	43	7	1	CARDINAL
ejpam-6388	44	1	20	CARDINAL
ejpam-6388	44	2	algebras	ORG
ejpam-6388	46	1	huang et al	PERSON
ejpam-6388	47	1	14	CARDINAL
ejpam-6388	47	2	gordji et al	PERSON
ejpam-6388	48	1	15	CARDINAL
ejpam-6388	50	1	25	CARDINAL
ejpam-6388	51	1	zhao et al	PERSON
ejpam-6388	52	1	1	CARDINAL
ejpam-6388	52	2	hilal	PERSON
ejpam-6388	52	3	2	CARDINAL
ejpam-6388	53	1	1)-(2	DATE
ejpam-6388	53	2	•	CARDINAL
ejpam-6388	54	1	1	CARDINAL
ejpam-6388	55	1	g(ω, r(ω	GPE
ejpam-6388	56	1	0	CARDINAL
ejpam-6388	56	2	r(1	ORG
ejpam-6388	57	1	r(1	ORG
ejpam-6388	58	1	•	CARDINAL
ejpam-6388	59	1	•	CARDINAL
ejpam-6388	60	1	fick	PERSON
ejpam-6388	61	1	j. pure	PERSON
ejpam-6388	61	2	18	CARDINAL
ejpam-6388	61	3	4	CARDINAL
ejpam-6388	61	4	2025	CARDINAL
ejpam-6388	61	5	6388 4 of 31	DATE
ejpam-6388	62	1	0	CARDINAL
ejpam-6388	62	2	1	CARDINAL
ejpam-6388	63	1	g(ω, r(ω	GPE
ejpam-6388	64	1	r(1	ORG
ejpam-6388	64	2	r(1	ORG
ejpam-6388	65	1	•	CARDINAL
ejpam-6388	66	1	•	CARDINAL
ejpam-6388	66	2	zhao et al	PERSON
ejpam-6388	67	1	1	CARDINAL
ejpam-6388	67	2	riemann	PERSON
ejpam-6388	67	3	0	CARDINAL
ejpam-6388	68	1	• orthogonal cone	QUANTITY
ejpam-6388	68	2	fpt	ORG
ejpam-6388	68	3	20	CARDINAL
ejpam-6388	68	4	1	CARDINAL
ejpam-6388	68	5	2	CARDINAL
ejpam-6388	70	1	•	CARDINAL
ejpam-6388	70	2	3	CARDINAL
ejpam-6388	71	1	•	CARDINAL
ejpam-6388	71	2	1-4	CARDINAL
ejpam-6388	72	1	section 2	LAW
ejpam-6388	73	1	section 3	LAW
ejpam-6388	74	1	section 4	LAW
ejpam-6388	74	2	1)–(2	CARDINAL
ejpam-6388	75	1	section 5	LAW
ejpam-6388	75	2	1	CARDINAL
ejpam-6388	75	3	2	CARDINAL
ejpam-6388	76	1	section 6	DATE
ejpam-6388	77	1	section 7	LAW
ejpam-6388	78	1	2	CARDINAL
ejpam-6388	78	2	1	CARDINAL
ejpam-6388	79	1	6	CARDINAL
ejpam-6388	79	2	0,∞	DATE
ejpam-6388	79	3	0	CARDINAL
ejpam-6388	79	4	d.	NORP
ejpam-6388	80	1	j. pure	PERSON
ejpam-6388	80	2	18	CARDINAL
ejpam-6388	80	3	4	CARDINAL
ejpam-6388	80	4	2025	CARDINAL
ejpam-6388	80	5	6388 5	DATE
ejpam-6388	80	6	0+ ψ(ω	QUANTITY
ejpam-6388	81	1	1	CARDINAL
ejpam-6388	83	1	2	CARDINAL
ejpam-6388	84	1	6	CARDINAL
ejpam-6388	84	2	0,∞	DATE
ejpam-6388	84	3	riemann	PERSON
ejpam-6388	84	4	0+ ψ(ω	QUANTITY
ejpam-6388	85	1	1 γ(m−	QUANTITY
ejpam-6388	87	1	1	CARDINAL
ejpam-6388	88	1	6	CARDINAL
ejpam-6388	89	1	0+ ψ(ω	QUANTITY
ejpam-6388	90	1	ψ(ω	ORG
ejpam-6388	91	1	0+ ψ(ω	QUANTITY
ejpam-6388	93	1	0+ ψ(ω	QUANTITY
ejpam-6388	93	2	0	CARDINAL
ejpam-6388	93	3	ψ(ω	ORG
ejpam-6388	94	1	2	CARDINAL
ejpam-6388	95	1	26	CARDINAL
ejpam-6388	96	1	1	CARDINAL
ejpam-6388	96	2	1	CARDINAL
ejpam-6388	96	3	0+ ωy−m	MONEY
ejpam-6388	96	4	1	CARDINAL
ejpam-6388	96	5	1	CARDINAL
ejpam-6388	96	6	1	CARDINAL
ejpam-6388	96	7	2	DATE
ejpam-6388	96	8	3	DATE
ejpam-6388	98	1	n. lemma 1	PERSON
ejpam-6388	99	1	6	CARDINAL
ejpam-6388	100	1	1	CARDINAL
ejpam-6388	103	1	i=1 kiω y−i	PERSON
ejpam-6388	103	2	ki ∈	PERSON
ejpam-6388	103	3	1	CARDINAL
ejpam-6388	103	4	m. lemma 2	PERSON
ejpam-6388	104	1	6	CARDINAL
ejpam-6388	104	2	0	CARDINAL
ejpam-6388	106	1	ki ∈	PERSON
ejpam-6388	106	2	1	CARDINAL
ejpam-6388	106	3	∈ z. definition	PERSON
ejpam-6388	106	4	3	CARDINAL
ejpam-6388	107	1	14	CARDINAL
ejpam-6388	107	2	∈	ORG
ejpam-6388	107	3	0	CARDINAL
ejpam-6388	107	4	∈	ORG
ejpam-6388	107	5	∈	ORG
ejpam-6388	108	1	0	CARDINAL
ejpam-6388	108	2	4	CARDINAL
ejpam-6388	109	1	14	CARDINAL
ejpam-6388	110	1	γ(m	GPE
ejpam-6388	110	2	0	CARDINAL
ejpam-6388	111	1	γ(m	GPE
ejpam-6388	111	2	a. d. baleanu et al	PERSON
ejpam-6388	112	1	j. pure	PERSON
ejpam-6388	112	2	18	CARDINAL
ejpam-6388	112	3	4	CARDINAL
ejpam-6388	112	4	2025	CARDINAL
ejpam-6388	112	5	6388 6 of 31	DATE
ejpam-6388	112	6	γ(m	GPE
ejpam-6388	113	1	5	CARDINAL
ejpam-6388	114	1	14	CARDINAL
ejpam-6388	115	1	0	CARDINAL
ejpam-6388	115	2	0 ≤ ℓ1 ≤	MONEY
ejpam-6388	116	1	1	CARDINAL
ejpam-6388	117	1	14	CARDINAL
ejpam-6388	118	1	0 ≤	MONEY
ejpam-6388	118	2	1	CARDINAL
ejpam-6388	118	3	a. additionally	PERSON
ejpam-6388	119	1	6	CARDINAL
ejpam-6388	120	1	15	CARDINAL
ejpam-6388	121	1	∈	ORG
ejpam-6388	123	1	7	CARDINAL
ejpam-6388	124	1	15	CARDINAL
ejpam-6388	125	1	8	CARDINAL
ejpam-6388	126	1	15	CARDINAL
ejpam-6388	126	2	γ,⊥	NORP
ejpam-6388	128	1	3	CARDINAL
ejpam-6388	129	1	15	CARDINAL
ejpam-6388	130	1	9	CARDINAL
ejpam-6388	131	1	15	CARDINAL
ejpam-6388	131	2	γ,⊥	NORP
ejpam-6388	131	3	1	CARDINAL
ejpam-6388	132	1	1	CARDINAL
ejpam-6388	132	2	u ⊥ v. 2.	PERSON
ejpam-6388	132	3	g(u	PRODUCT
ejpam-6388	132	4	3	CARDINAL
ejpam-6388	132	5	the convergence bn	ORG
ejpam-6388	132	6	g(b	GPE
ejpam-6388	133	1	a. d. baleanu et al	PERSON
ejpam-6388	134	1	j. pure	PERSON
ejpam-6388	134	2	18	CARDINAL
ejpam-6388	134	3	4	CARDINAL
ejpam-6388	134	4	2025	CARDINAL
ejpam-6388	134	5	6388 7 of 31	DATE
ejpam-6388	134	6	10	CARDINAL
ejpam-6388	135	1	20	CARDINAL
ejpam-6388	136	1	γ(u	PRODUCT
ejpam-6388	137	1	w ∈ a.	PERSON
ejpam-6388	137	2	γ	GPE
ejpam-6388	137	3	γ,⊥	NORP
ejpam-6388	138	1	11	CARDINAL
ejpam-6388	139	1	20	CARDINAL
ejpam-6388	139	2	γ,⊥	NORP
ejpam-6388	140	1	4	CARDINAL
ejpam-6388	141	1	20	CARDINAL
ejpam-6388	142	1	fpt	CARDINAL
ejpam-6388	143	1	2	CARDINAL
ejpam-6388	144	1	20	CARDINAL
ejpam-6388	144	2	γ,⊥	NORP
ejpam-6388	146	1	1	CARDINAL
ejpam-6388	147	1	2.	CARDINAL
ejpam-6388	147	2	0	CARDINAL
ejpam-6388	147	3	1	CARDINAL
ejpam-6388	148	1	3	CARDINAL
ejpam-6388	149	1	limr→∞ gr(u	GPE
ejpam-6388	151	1	3	CARDINAL
ejpam-6388	154	1	ω, r(ω	DATE
ejpam-6388	156	1	ω, r(ω	DATE
ejpam-6388	157	1	1	CARDINAL
ejpam-6388	158	1	ω	ORDINAL
ejpam-6388	158	2	g(ξ	GPE
ejpam-6388	158	3	3	CARDINAL
ejpam-6388	158	4	0(ω	CARDINAL
ejpam-6388	158	5	1	CARDINAL
ejpam-6388	159	1	ωy−1(1−	TIME
ejpam-6388	159	2	ωy−1(1−	TIME
ejpam-6388	159	3	ω ≤	MONEY
ejpam-6388	160	1	4	CARDINAL
ejpam-6388	161	1	j. pure	PERSON
ejpam-6388	161	2	18	CARDINAL
ejpam-6388	161	3	4	CARDINAL
ejpam-6388	161	4	2025	CARDINAL
ejpam-6388	161	5	6388 8 of 31	DATE
ejpam-6388	163	1	2	CARDINAL
ejpam-6388	163	2	ω, r(ω	DATE
ejpam-6388	165	1	y−i − ∫ ω 0	ORG
ejpam-6388	166	1	5	CARDINAL
ejpam-6388	167	1	2	CARDINAL
ejpam-6388	167	2	1 +	CARDINAL
ejpam-6388	167	3	1	CARDINAL
ejpam-6388	167	4	1− ξ)y−1 γ(y	PRODUCT
ejpam-6388	169	1	5	CARDINAL
ejpam-6388	170	1	ω, r(ω	DATE
ejpam-6388	172	1	1 0 ωy−1(1−	TIME
ejpam-6388	172	2	r(ξ))dξ− ∫ ω 0	ORG
ejpam-6388	176	1	ω, r(ω	DATE
ejpam-6388	178	1	ω, r(ω	DATE
ejpam-6388	179	1	1	CARDINAL
ejpam-6388	180	1	ω	ORDINAL
ejpam-6388	180	2	g(ξ	GPE
ejpam-6388	181	1	3	CARDINAL
ejpam-6388	182	1	ω, r(ω	DATE
ejpam-6388	184	1	1 +	CARDINAL
ejpam-6388	184	2	1	CARDINAL
ejpam-6388	184	3	1− ξ)y−1 γ(y	PRODUCT
ejpam-6388	185	1	− ∫ ω 0 (ω − ξ)y−1 γ(y)	ORG
ejpam-6388	187	1	1	CARDINAL
ejpam-6388	187	2	rld	ORG
ejpam-6388	187	3	0	CARDINAL
ejpam-6388	190	1	f(ω, r(ω	ORG
ejpam-6388	192	1	0	CARDINAL
ejpam-6388	192	2	1	CARDINAL
ejpam-6388	192	3	3	CARDINAL
ejpam-6388	192	4	0	CARDINAL
ejpam-6388	192	5	r(1	ORG
ejpam-6388	193	1	1	CARDINAL
ejpam-6388	193	2	r(1	ORG
ejpam-6388	195	1	4	CARDINAL
ejpam-6388	196	1	0	CARDINAL
ejpam-6388	196	2	1]×	CARDINAL
ejpam-6388	197	1	0	CARDINAL
ejpam-6388	197	2	1	CARDINAL
ejpam-6388	198	1	ω	ORG
ejpam-6388	199	1	0	CARDINAL
ejpam-6388	199	2	1	CARDINAL
ejpam-6388	201	1	4	CARDINAL
ejpam-6388	201	2	ω	ORG
ejpam-6388	202	1	0	CARDINAL
ejpam-6388	202	2	1	CARDINAL
ejpam-6388	203	1	0 ≤	MONEY
ejpam-6388	204	1	ωy−1(1−	ORDINAL
ejpam-6388	206	1	j. pure	PERSON
ejpam-6388	206	2	18	CARDINAL
ejpam-6388	206	3	4	CARDINAL
ejpam-6388	206	4	2025	CARDINAL
ejpam-6388	206	5	6388 9 of 31	DATE
ejpam-6388	206	6	1	CARDINAL
ejpam-6388	207	1	ωy−1(1−	ORDINAL
ejpam-6388	207	2	− ωy−1	PERSON
ejpam-6388	207	3	ωy−1(1−	ORDINAL
ejpam-6388	207	4	ωy−1(1−	TIME
ejpam-6388	207	5	0	CARDINAL
ejpam-6388	208	1	0 ≤ ω ≤	MONEY
ejpam-6388	208	2	0	CARDINAL
ejpam-6388	209	1	0	CARDINAL
ejpam-6388	210	1	0	CARDINAL
ejpam-6388	210	2	1	CARDINAL
ejpam-6388	211	1	0 ≤	MONEY
ejpam-6388	211	2	∂0(ω	GPE
ejpam-6388	212	1	1	CARDINAL
ejpam-6388	212	2	1− ξ)y−2	LAW
ejpam-6388	212	3	1− ξ	DATE
ejpam-6388	213	1	1	CARDINAL
ejpam-6388	214	1	1	CARDINAL
ejpam-6388	215	1	0 ≤	MONEY
ejpam-6388	216	1	0 ≤ ω ≤	MONEY
ejpam-6388	216	2	∂0(ω	GPE
ejpam-6388	217	1	0	CARDINAL
ejpam-6388	217	2	1	CARDINAL
ejpam-6388	217	3	0	CARDINAL
ejpam-6388	218	1	0 ≤ ω ≤	MONEY
ejpam-6388	219	1	ω	ORG
ejpam-6388	220	1	0	CARDINAL
ejpam-6388	220	2	1	CARDINAL
ejpam-6388	223	1	3	CARDINAL
ejpam-6388	223	2	γ,⊥	NORP
ejpam-6388	226	1	1 + γ(z	DATE
ejpam-6388	227	1	1 + γ(z	DATE
ejpam-6388	229	1	two	CARDINAL
ejpam-6388	229	2	0	CARDINAL
ejpam-6388	229	3	1	CARDINAL
ejpam-6388	230	1	1	CARDINAL
ejpam-6388	231	1	a. proof	PERSON
ejpam-6388	232	1	z.	PERSON
ejpam-6388	233	1	j. pure	PERSON
ejpam-6388	233	2	18	CARDINAL
ejpam-6388	233	3	4	CARDINAL
ejpam-6388	233	4	2025	CARDINAL
ejpam-6388	233	5	6388 10 of 31	DATE
ejpam-6388	233	6	z0 ⊥	MONEY
ejpam-6388	233	7	f(z0	GPE
ejpam-6388	233	8	⊥ z0	GPE
ejpam-6388	235	1	γ(fzn−1	PERSON
ejpam-6388	235	2	1 + γ(zn−1	CARDINAL
ejpam-6388	235	3	fzn−1	GPE
ejpam-6388	235	4	1 + γ(zn−1	CARDINAL
ejpam-6388	235	5	zn	ORG
ejpam-6388	236	1	+ bγ(zn−1	GPE
ejpam-6388	236	2	1 + γ(zn−1	CARDINAL
ejpam-6388	236	3	1 + γ(zn−1	CARDINAL
ejpam-6388	236	4	zn	ORG
ejpam-6388	236	5	+ bγ(zn−1	GPE
ejpam-6388	236	6	1	CARDINAL
ejpam-6388	236	7	bγ(zn−1	GPE
ejpam-6388	236	8	1−a	CARDINAL
ejpam-6388	236	9	1	CARDINAL
ejpam-6388	238	1	1	CARDINAL
ejpam-6388	244	1	+ γ(zp+q−2	GPE
ejpam-6388	244	2	zp+q−1	DATE
ejpam-6388	245	1	1−	CARDINAL
ejpam-6388	246	1	1−rγ(z0	CARDINAL
ejpam-6388	248	1	∈	ORG
ejpam-6388	248	2	f.	PERSON
ejpam-6388	248	3	γ(z⋆	NORP
ejpam-6388	250	1	+ aγ(z⋆	GPE
ejpam-6388	250	2	fz⋆	PERSON
ejpam-6388	250	3	1 + γ(zn	DATE
ejpam-6388	250	4	1 + γ(zn	DATE
ejpam-6388	250	5	1−	ORDINAL
ejpam-6388	252	1	j. pure	PERSON
ejpam-6388	252	2	18	CARDINAL
ejpam-6388	252	3	4	CARDINAL
ejpam-6388	252	4	2025	CARDINAL
ejpam-6388	252	5	6388 11	DATE
ejpam-6388	252	6	31	CARDINAL
ejpam-6388	252	7	0	CARDINAL
ejpam-6388	252	8	f.	PERSON
ejpam-6388	252	9	f.	PERSON
ejpam-6388	252	10	fu⋆	ORG
ejpam-6388	253	1	fz⋆	PERSON
ejpam-6388	253	2	1 +	DATE
ejpam-6388	253	3	fu⋆	ORG
ejpam-6388	255	1	1	CARDINAL
ejpam-6388	256	1	0	CARDINAL
ejpam-6388	256	2	z⋆.	ORG
ejpam-6388	257	1	5	CARDINAL
ejpam-6388	258	1	0	CARDINAL
ejpam-6388	258	2	3	CARDINAL
ejpam-6388	258	3	fpt	CARDINAL
ejpam-6388	258	4	2	CARDINAL
ejpam-6388	258	5	4	CARDINAL
ejpam-6388	260	1	0	CARDINAL
ejpam-6388	260	2	1	CARDINAL
ejpam-6388	262	1	0,∞	TIME
ejpam-6388	264	1	r2 ∈ a. theorem 4	PERSON
ejpam-6388	264	2	g(ω	ORG
ejpam-6388	264	3	0)|	CARDINAL
ejpam-6388	264	4	1	CARDINAL
ejpam-6388	264	5	|f(ω	ORG
ejpam-6388	264	6	f(ω	ORG
ejpam-6388	264	7	b|r−	ORG
ejpam-6388	265	1	ω ∈	ORG
ejpam-6388	266	1	1 0 0(ω	DATE
ejpam-6388	268	1	d. baleanu et al	PERSON
ejpam-6388	269	1	j. pure	PERSON
ejpam-6388	269	2	18	CARDINAL
ejpam-6388	269	3	4	CARDINAL
ejpam-6388	269	4	2025	CARDINAL
ejpam-6388	269	5	6388 12	DATE
ejpam-6388	269	6	31	CARDINAL
ejpam-6388	270	1	z(ω	ORG
ejpam-6388	271	1	γ,⊥	NORP
ejpam-6388	272	1	γ,⊥	NORP
ejpam-6388	273	1	γ,⊥	NORP
ejpam-6388	274	1	γ,⊥	NORP
ejpam-6388	274	2	γ,⊥	NORP
ejpam-6388	274	3	fr(ω	ORG
ejpam-6388	275	1	+ f(ω	PERSON
ejpam-6388	276	1	1 0 0(ω	DATE
ejpam-6388	276	2	ω ∈ i.	ORG
ejpam-6388	276	3	∈	ORG
ejpam-6388	277	1	f. firstly	ORG
ejpam-6388	277	2	z.	PERSON
ejpam-6388	277	3	ω ∈	ORG
ejpam-6388	277	4	fr(ω	ORG
ejpam-6388	278	1	+ f(ω	PERSON
ejpam-6388	279	1	1 0 0(ω	DATE
ejpam-6388	279	2	f(ω, r(ω	GPE
ejpam-6388	280	1	1 0 0(ω	DATE
ejpam-6388	280	2	0	CARDINAL
ejpam-6388	281	1	6	CARDINAL
ejpam-6388	282	1	⊆	CARDINAL
ejpam-6388	282	2	2	CARDINAL
ejpam-6388	283	1	⊥ u(ω	PERSON
ejpam-6388	283	2	ω ∈ i.	ORG
ejpam-6388	283	3	6	CARDINAL
ejpam-6388	283	4	fr(ω	GPE
ejpam-6388	283	5	0	CARDINAL
ejpam-6388	284	1	fr ⊥ fu	PERSON
ejpam-6388	285	1	∈	ORG
ejpam-6388	286	1	≤ |ω|y−1|f(ω	ORG
ejpam-6388	286	2	f(ω	ORG
ejpam-6388	287	1	1 0 0(ω	DATE
ejpam-6388	287	2	− f(ω	PERSON
ejpam-6388	287	3	u(ω	PERSON
ejpam-6388	288	1	1 0 0(ω	DATE
ejpam-6388	288	2	∣∣∣∣ ≤ |ω|y−1|f(ω	ORG
ejpam-6388	288	3	f(ω	ORG
ejpam-6388	288	4	∣∣∣∣f(ω	ORG
ejpam-6388	288	5	1 0 0(ω	DATE
ejpam-6388	289	1	u(ω	PERSON
ejpam-6388	289	2	1 0 0(ω	DATE
ejpam-6388	289	3	0)]dξ − f(ω, r(ω	PERSON
ejpam-6388	290	1	1 0 0(ω	DATE
ejpam-6388	290	2	0)dξ	PERSON
ejpam-6388	290	3	u(ω	PERSON
ejpam-6388	291	1	1 0 0(ω	DATE
ejpam-6388	291	2	0)dξ ∣∣∣∣ ≤ |ω|y−1|f(ω	ORG
ejpam-6388	291	3	f(ω	ORG
ejpam-6388	291	4	1 0 0(ω	DATE
ejpam-6388	291	5	0)]dξ − f(ω	PERSON
ejpam-6388	291	6	u(ω	PERSON
ejpam-6388	292	1	1 0 0(ω	DATE
ejpam-6388	292	2	0)dξ	PERSON
ejpam-6388	292	3	1 0 0(ω	DATE
ejpam-6388	293	1	1 0 0(ω	DATE
ejpam-6388	293	2	0)dξ	PERSON
ejpam-6388	294	1	j. pure	PERSON
ejpam-6388	294	2	18	CARDINAL
ejpam-6388	294	3	4	CARDINAL
ejpam-6388	294	4	2025	CARDINAL
ejpam-6388	294	5	6388 13	DATE
ejpam-6388	294	6	31 ≤	CARDINAL
ejpam-6388	294	7	f(ω	ORG
ejpam-6388	296	1	1 0 0(ω	DATE
ejpam-6388	297	1	− f(ω	PERSON
ejpam-6388	297	2	u(ω	PERSON
ejpam-6388	297	3	1 0 0(ω	DATE
ejpam-6388	297	4	ξ)℘(ξ)dξ ∣∣∣∣ + ∣∣∣∣f(ω, r(ω	ORG
ejpam-6388	297	5	1 0 0(ω	DATE
ejpam-6388	297	6	ξ)℘(ξ)dξ − f(ω	PERSON
ejpam-6388	297	7	u(ω	PERSON
ejpam-6388	297	8	1 0 0(ω	DATE
ejpam-6388	297	9	ξ)℘(ξ)dξ ∣∣∣∣ ≤ |ω|y−1|f(ω	ORG
ejpam-6388	297	10	f(ω	ORG
ejpam-6388	299	1	1 0 0(ω	DATE
ejpam-6388	300	1	− f(ω	PERSON
ejpam-6388	300	2	u(ω	PERSON
ejpam-6388	300	3	1 0 0(ω	DATE
ejpam-6388	300	4	ξ)℘(ξ)dξ ∣∣∣∣ + ∣∣∣∣f(ω, r(ω	ORG
ejpam-6388	300	5	1 0 0(ω	DATE
ejpam-6388	300	6	ξ)℘(ξ)dξ − f(ω	PERSON
ejpam-6388	300	7	u(ω	PERSON
ejpam-6388	300	8	1 0 0(ω	DATE
ejpam-6388	300	9	ξ)℘(ξ)dξ ∣∣∣∣ ≤ |ω|y−1|f(ω	ORG
ejpam-6388	300	10	f(ω	ORG
ejpam-6388	300	11	2|f(ω	CARDINAL
ejpam-6388	300	12	f(ω	ORG
ejpam-6388	300	13	u(ω))|	PERSON
ejpam-6388	300	14	1	CARDINAL
ejpam-6388	300	15	ξ)℘(ξ)dξ ≤ |f(ω	MONEY
ejpam-6388	300	16	f(ω	ORG
ejpam-6388	300	17	2|f(ω	CARDINAL
ejpam-6388	300	18	f(ω	ORG
ejpam-6388	300	19	f(ω	ORG
ejpam-6388	300	20	u(ω))|	PERSON
ejpam-6388	300	21	1 + 2m	QUANTITY
ejpam-6388	300	22	b|r−	ORG
ejpam-6388	300	23	+ |r− u|	MONEY
ejpam-6388	300	24	1 + 2m	QUANTITY
ejpam-6388	300	25	1 + 2	QUANTITY
ejpam-6388	301	1	b|r−	ORG
ejpam-6388	302	1	0	CARDINAL
ejpam-6388	302	2	+ |r−	DATE
ejpam-6388	302	3	1 + |r− u|	QUANTITY
ejpam-6388	303	1	1 + |r(ω)− u(ω)| +	QUANTITY
ejpam-6388	304	1	supremum	ORG
ejpam-6388	304	2	ω	ORDINAL
ejpam-6388	304	3	γ(fr	GPE
ejpam-6388	304	4	+ γ(u	PERSON
ejpam-6388	305	1	1 + γ(r	QUANTITY
ejpam-6388	305	2	7	CARDINAL
ejpam-6388	305	3	1	CARDINAL
ejpam-6388	305	4	∈	ORG
ejpam-6388	306	1	0	CARDINAL
ejpam-6388	306	2	7	CARDINAL
ejpam-6388	308	1	3	CARDINAL
ejpam-6388	311	1	j. pure	PERSON
ejpam-6388	311	2	18	CARDINAL
ejpam-6388	311	3	4	CARDINAL
ejpam-6388	311	4	2025	CARDINAL
ejpam-6388	311	5	6388 14 of 31 5	DATE
ejpam-6388	312	1	0+ [ r(ω	DATE
ejpam-6388	314	1	0	CARDINAL
ejpam-6388	314	2	1	CARDINAL
ejpam-6388	315	1	agarwal et al	PERSON
ejpam-6388	316	1	3	CARDINAL
ejpam-6388	317	1	two	CARDINAL
ejpam-6388	317	2	3	CARDINAL
ejpam-6388	317	3	section 2.2.1	LAW
ejpam-6388	319	1	∈	ORG
ejpam-6388	319	2	θ(r	DATE
ejpam-6388	319	3	f(1	PERSON
ejpam-6388	319	4	r(1	ORG
ejpam-6388	319	5	u(ω	PERSON
ejpam-6388	319	6	0	CARDINAL
ejpam-6388	319	7	r(1	ORG
ejpam-6388	320	1	r(1	ORG
ejpam-6388	322	1	9	CARDINAL
ejpam-6388	322	2	10	CARDINAL
ejpam-6388	322	3	0	CARDINAL
ejpam-6388	322	4	3	CARDINAL
ejpam-6388	322	5	section 2.2.2	LAW
ejpam-6388	323	1	6	CARDINAL
ejpam-6388	324	1	∈	ORG
ejpam-6388	327	1	ω ∈	ORG
ejpam-6388	328	1	0	CARDINAL
ejpam-6388	328	2	1	CARDINAL
ejpam-6388	329	1	11	CARDINAL
ejpam-6388	329	2	r(1	ORG
ejpam-6388	330	1	r(1	ORG
ejpam-6388	330	2	3	CARDINAL
ejpam-6388	331	1	5	CARDINAL
ejpam-6388	332	1	∈	ORG
ejpam-6388	332	2	8)	CARDINAL
ejpam-6388	333	1	0	CARDINAL
ejpam-6388	333	2	1 0 0(ω	DATE
ejpam-6388	333	3	ω	GPE
ejpam-6388	335	1	f(ω	ORG
ejpam-6388	335	2	− f(ω	PERSON
ejpam-6388	336	1	1 0 0(ω	DATE
ejpam-6388	336	2	r(ξ	PERSON
ejpam-6388	337	1	12	CARDINAL
ejpam-6388	337	2	ω ∈	ORG
ejpam-6388	338	1	0	CARDINAL
ejpam-6388	338	2	1	CARDINAL
ejpam-6388	340	1	j. pure	PERSON
ejpam-6388	340	2	18	CARDINAL
ejpam-6388	340	3	4	CARDINAL
ejpam-6388	340	4	2025	CARDINAL
ejpam-6388	340	5	6388 15	DATE
ejpam-6388	341	1	6	CARDINAL
ejpam-6388	341	2	ψ(ω	WORK_OF_ART
ejpam-6388	341	3	11	CARDINAL
ejpam-6388	342	1	11	CARDINAL
ejpam-6388	343	1	z(ω	ORG
ejpam-6388	343	2	f(ω	ORG
ejpam-6388	343	3	z(ω))ωy−1+f(ω	GPE
ejpam-6388	343	4	z(ω	ORG
ejpam-6388	344	1	1 0 0(ω	DATE
ejpam-6388	345	1	dξ−f(ω	ORG
ejpam-6388	345	2	z(ω	ORG
ejpam-6388	347	1	1 0 0(ω	DATE
ejpam-6388	349	1	bc	ORG
ejpam-6388	350	1	ψ(ω	WORK_OF_ART
ejpam-6388	350	2	f(ω	PERSON
ejpam-6388	350	3	− f(ω	PERSON
ejpam-6388	351	1	1 0 0(ω	DATE
ejpam-6388	351	2	r(ξ	PERSON
ejpam-6388	352	1	∣∣∣∣ ≤ |f(ω	CARDINAL
ejpam-6388	352	2	r(ω))|	ORG
ejpam-6388	352	3	1	CARDINAL
ejpam-6388	354	1	0	CARDINAL
ejpam-6388	354	2	1 0	DATE
ejpam-6388	354	3	1	CARDINAL
ejpam-6388	356	1	f(ω	ORG
ejpam-6388	356	2	− f(ω	PERSON
ejpam-6388	357	1	1 0 0(ω	DATE
ejpam-6388	357	2	r(ξ	PERSON
ejpam-6388	359	1	5	CARDINAL
ejpam-6388	360	1	u(ω	PERSON
ejpam-6388	360	2	1)–(9	CARDINAL
ejpam-6388	360	3	r(ω))|	ORG
ejpam-6388	360	4	n = ∫	ORG
ejpam-6388	360	5	1 0 0(ω	DATE
ejpam-6388	360	6	ω	GPE
ejpam-6388	363	1	∈	ORG
ejpam-6388	363	2	u(ω	PERSON
ejpam-6388	363	3	1)–(9	CARDINAL
ejpam-6388	363	4	θ = r(1	ORG
ejpam-6388	365	1	r(1	ORG
ejpam-6388	366	1	5	CARDINAL
ejpam-6388	366	2	− f(ω	PERSON
ejpam-6388	367	1	1 0 0(ω	DATE
ejpam-6388	367	2	r(ξ	PERSON
ejpam-6388	369	1	u(ω	PERSON
ejpam-6388	369	2	u(ω	PERSON
ejpam-6388	369	3	u(ω	PERSON
ejpam-6388	369	4	u(ω	PERSON
ejpam-6388	370	1	1 0 0(ω	DATE
ejpam-6388	370	2	u(ξ	ORG
ejpam-6388	373	1	j. pure	PERSON
ejpam-6388	373	2	18	CARDINAL
ejpam-6388	373	3	4	CARDINAL
ejpam-6388	373	4	2025	CARDINAL
ejpam-6388	373	5	6388 16 of 31	DATE
ejpam-6388	373	6	− f(ω	PERSON
ejpam-6388	374	1	1 0 0(ω	DATE
ejpam-6388	374	2	r(ξ	PERSON
ejpam-6388	375	1	∣∣∣∣ + ∣∣∣∣f(ω	DATE
ejpam-6388	375	2	+ f(ω	PERSON
ejpam-6388	376	1	1 0 0(ω	DATE
ejpam-6388	376	2	r(ξ	PERSON
ejpam-6388	377	1	u(ω	PERSON
ejpam-6388	377	2	− f(ω	PERSON
ejpam-6388	377	3	u(ω	PERSON
ejpam-6388	378	1	1 0 0(ω	DATE
ejpam-6388	378	2	u(ξ	ORG
ejpam-6388	384	1	lg|r− u|	PERSON
ejpam-6388	384	2	get∣∣∣∣f(ω, r(ω	ORG
ejpam-6388	385	1	1 0 0(ω	DATE
ejpam-6388	385	2	g(ξ, u(ξ	ORG
ejpam-6388	387	1	|r(ω)− u(ω, θ)|	PERSON
ejpam-6388	388	1	supremum	ORG
ejpam-6388	388	2	ω ∈	ORG
ejpam-6388	389	1	0	CARDINAL
ejpam-6388	389	2	1	CARDINAL
ejpam-6388	389	3	∥r− u∥ ≤	PRODUCT
ejpam-6388	389	4	= supω(lfω y−1 + qlgn	PERSON
ejpam-6388	390	1	∥r− u∥ ≤	MONEY
ejpam-6388	390	2	1−m	CARDINAL
ejpam-6388	390	3	0	CARDINAL
ejpam-6388	393	1	3	CARDINAL
ejpam-6388	394	1	6	CARDINAL
ejpam-6388	394	2	1	CARDINAL
ejpam-6388	398	1	0	CARDINAL
ejpam-6388	398	2	1	CARDINAL
ejpam-6388	398	3	13	CARDINAL
ejpam-6388	398	4	0	CARDINAL
ejpam-6388	398	5	r(1	ORG
ejpam-6388	399	1	r(1	ORG
ejpam-6388	399	2	14	CARDINAL
ejpam-6388	399	3	3 2	DATE
ejpam-6388	399	4	g(ω	ORG
ejpam-6388	399	5	2(1 + ω	DATE
ejpam-6388	399	6	f(ω	ORG
ejpam-6388	399	7	19	CARDINAL
ejpam-6388	400	1	d. baleanu et al	PERSON
ejpam-6388	401	1	j. pure	PERSON
ejpam-6388	401	2	18	CARDINAL
ejpam-6388	401	3	4	CARDINAL
ejpam-6388	401	4	2025	CARDINAL
ejpam-6388	401	5	6388 17 of 31	DATE
ejpam-6388	402	1	2(1 + ω	DATE
ejpam-6388	403	1	g(ω	ORG
ejpam-6388	403	2	g(ω	ORG
ejpam-6388	404	1	2(1 + ω	CARDINAL
ejpam-6388	405	1	2(1	CARDINAL
ejpam-6388	406	1	1 + ω)(sin(r)−	CARDINAL
ejpam-6388	406	2	g(ω	ORG
ejpam-6388	406	3	1 + ω)|	DATE
ejpam-6388	406	4	sin(r)−	DATE
ejpam-6388	407	1	sin(r)−	DATE
ejpam-6388	407	2	g(ω	ORG
ejpam-6388	407	3	1 + ω)|r−	DATE
ejpam-6388	408	1	ω ∈	ORG
ejpam-6388	409	1	0	CARDINAL
ejpam-6388	409	2	1	CARDINAL
ejpam-6388	410	1	g(ω	ORG
ejpam-6388	410	2	2(1 + ω	DATE
ejpam-6388	411	1	0(ω	CARDINAL
ejpam-6388	411	2	ω	ORG
ejpam-6388	412	1	1 2	CARDINAL
ejpam-6388	412	2	1− ω	PRODUCT
ejpam-6388	412	3	1 2 γ(32	DATE
ejpam-6388	413	1	2	CARDINAL
ejpam-6388	414	1	1 0 0(ω	DATE
ejpam-6388	414	2	2√	CARDINAL
ejpam-6388	414	3	1	CARDINAL
ejpam-6388	414	4	1− ω	PRODUCT
ejpam-6388	414	5	1 2dω	CARDINAL
ejpam-6388	414	6	2√	CARDINAL
ejpam-6388	414	7	3 2	DATE
ejpam-6388	414	8	3 2	CARDINAL
ejpam-6388	415	1	3 2	DATE
ejpam-6388	415	2	3 2	CARDINAL
ejpam-6388	415	3	8	CARDINAL
ejpam-6388	415	4	2√	CARDINAL
ejpam-6388	415	5	8	CARDINAL
ejpam-6388	415	6	4	CARDINAL
ejpam-6388	416	1	1 0 0(ω	DATE
ejpam-6388	416	2	ω)℘(ω)dω	CARDINAL
ejpam-6388	416	3	2√	CARDINAL
ejpam-6388	416	4	1	CARDINAL
ejpam-6388	416	5	1− ω	PRODUCT
ejpam-6388	416	6	1 2	CARDINAL
ejpam-6388	416	7	2(1 + ω)dω	QUANTITY
ejpam-6388	417	1	1	CARDINAL
ejpam-6388	417	2	1− ω	PRODUCT
ejpam-6388	417	3	1 2	CARDINAL
ejpam-6388	418	1	1	CARDINAL
ejpam-6388	418	2	1− ω	PRODUCT
ejpam-6388	418	3	1	CARDINAL
ejpam-6388	419	1	1	CARDINAL
ejpam-6388	419	2	1− ω	PRODUCT
ejpam-6388	419	3	1 2dω	CARDINAL
ejpam-6388	419	4	3 2	DATE
ejpam-6388	419	5	3 2	CARDINAL
ejpam-6388	420	1	5 2	CARDINAL
ejpam-6388	420	2	3 2	CARDINAL
ejpam-6388	421	1	8	CARDINAL
ejpam-6388	422	1	16	CARDINAL
ejpam-6388	422	2	3π 16	DATE
ejpam-6388	424	1	4√	CARDINAL
ejpam-6388	424	2	3π 16	CARDINAL
ejpam-6388	424	3	12π 16	DATE
ejpam-6388	425	1	3 √	DATE
ejpam-6388	427	1	9 + 10	CARDINAL
ejpam-6388	427	2	19 + 38	DATE
ejpam-6388	428	1	4 19 + 38	CARDINAL
ejpam-6388	428	2	3 √	DATE
ejpam-6388	428	3	4	CARDINAL
ejpam-6388	429	1	d. baleanu et al	PERSON
ejpam-6388	430	1	j. pure	PERSON
ejpam-6388	430	2	18	CARDINAL
ejpam-6388	430	3	4	CARDINAL
ejpam-6388	430	4	2025	CARDINAL
ejpam-6388	430	5	6388 18 of 31	DATE
ejpam-6388	430	6	|f(ω	CARDINAL
ejpam-6388	430	7	f(ω	ORG
ejpam-6388	431	1	4 19 + 38	CARDINAL
ejpam-6388	431	2	cos(u)|	PERSON
ejpam-6388	431	3	|f(ω	ORG
ejpam-6388	431	4	f(ω	ORG
ejpam-6388	431	5	3 √	DATE
ejpam-6388	431	6	4	CARDINAL
ejpam-6388	432	1	0.0575	CARDINAL
ejpam-6388	432	2	1	CARDINAL
ejpam-6388	432	3	4	CARDINAL
ejpam-6388	433	1	4	CARDINAL
ejpam-6388	433	2	18 + 15	DATE
ejpam-6388	433	3	10 + 15 √	QUANTITY
ejpam-6388	434	1	0.5400	CARDINAL
ejpam-6388	434	2	0	CARDINAL
ejpam-6388	434	3	≈ 0.9	CARDINAL
ejpam-6388	434	4	≈ 2.85	CARDINAL
ejpam-6388	435	1	4	CARDINAL
ejpam-6388	435	2	0.3207 ≈ 0.14210648	QUANTITY
ejpam-6388	435	3	5	CARDINAL
ejpam-6388	436	1	3	CARDINAL
ejpam-6388	437	1	1 0 0(ω	DATE
ejpam-6388	438	1	0	CARDINAL
ejpam-6388	438	2	1	CARDINAL
ejpam-6388	438	3	numpy library	ORG
ejpam-6388	439	1	100	CARDINAL
ejpam-6388	439	2	ω	ORG
ejpam-6388	439	3	0	CARDINAL
ejpam-6388	439	4	1	CARDINAL
ejpam-6388	439	5	the initial approximation r(ω	DATE
ejpam-6388	440	1	0	CARDINAL
ejpam-6388	441	1	two	CARDINAL
ejpam-6388	441	2	1.5	CARDINAL
ejpam-6388	441	3	2	CARDINAL
ejpam-6388	442	1	ω	ORG
ejpam-6388	442	2	3	CARDINAL
ejpam-6388	442	3	4	CARDINAL
ejpam-6388	442	4	appendix	NORP
ejpam-6388	443	1	1.5	CARDINAL
ejpam-6388	444	1	two	CARDINAL
ejpam-6388	445	1	first	ORDINAL
ejpam-6388	445	2	1	CARDINAL
ejpam-6388	445	3	1.5	CARDINAL
ejpam-6388	445	4	second	ORDINAL
ejpam-6388	445	5	2	CARDINAL
ejpam-6388	445	6	1.5	CARDINAL
ejpam-6388	446	1	d. baleanu et al	PERSON
ejpam-6388	447	1	j. pure	PERSON
ejpam-6388	447	2	18	CARDINAL
ejpam-6388	447	3	4	CARDINAL
ejpam-6388	447	4	2025	CARDINAL
ejpam-6388	447	5	6388 19 of 31	DATE
ejpam-6388	447	6	1.5	CARDINAL
ejpam-6388	447	7	1.5	CARDINAL
ejpam-6388	447	8	1	CARDINAL
ejpam-6388	447	9	0	CARDINAL
ejpam-6388	447	10	1	CARDINAL
ejpam-6388	448	1	ω	ORG
ejpam-6388	448	2	1	CARDINAL
ejpam-6388	448	3	1	CARDINAL
ejpam-6388	448	4	1.5	CARDINAL
ejpam-6388	449	1	0	CARDINAL
ejpam-6388	450	1	1.5	CARDINAL
ejpam-6388	450	2	second	ORDINAL
ejpam-6388	450	3	two	CARDINAL
ejpam-6388	452	1	2	CARDINAL
ejpam-6388	452	2	d. baleanu	PERSON
ejpam-6388	454	1	j. pure	PERSON
ejpam-6388	454	2	18	CARDINAL
ejpam-6388	454	3	4	CARDINAL
ejpam-6388	454	4	2025	CARDINAL
ejpam-6388	454	5	6388 20 of 31	DATE
ejpam-6388	454	6	2	CARDINAL
ejpam-6388	454	7	1.5	CARDINAL
ejpam-6388	457	1	2	CARDINAL
ejpam-6388	457	2	1.5	CARDINAL
ejpam-6388	457	3	g(ω	ORG
ejpam-6388	457	4	2(1 + ω	DATE
ejpam-6388	460	1	19	CARDINAL
ejpam-6388	461	1	19	CARDINAL
ejpam-6388	463	1	d. baleanu et al	PERSON
ejpam-6388	464	1	j. pure	PERSON
ejpam-6388	464	2	18	CARDINAL
ejpam-6388	464	3	4	CARDINAL
ejpam-6388	464	4	2025	CARDINAL
ejpam-6388	464	5	6388 21 of 31	DATE
ejpam-6388	464	6	3	CARDINAL
ejpam-6388	464	7	two	CARDINAL
ejpam-6388	465	1	19	CARDINAL
ejpam-6388	466	1	19	CARDINAL
ejpam-6388	467	1	1.5	CARDINAL
ejpam-6388	467	2	g(ω	ORG
ejpam-6388	467	3	2(1 + ω	DATE
ejpam-6388	468	1	3	CARDINAL
ejpam-6388	468	2	two	CARDINAL
ejpam-6388	468	3	f1	PERSON
ejpam-6388	468	4	f2	ORG
ejpam-6388	469	1	r(ω	LOC
ejpam-6388	469	2	0	CARDINAL
ejpam-6388	470	1	f1	PERSON
ejpam-6388	471	1	f1	PERSON
ejpam-6388	471	2	f2	ORG
ejpam-6388	472	1	f1	PERSON
ejpam-6388	472	2	ω	ORG
ejpam-6388	475	1	3	CARDINAL
ejpam-6388	475	2	1.5	CARDINAL
ejpam-6388	475	3	f(ω	ORG
ejpam-6388	476	1	19	CARDINAL
ejpam-6388	478	1	2(1 + ω	DATE
ejpam-6388	479	1	1	CARDINAL
ejpam-6388	480	1	4	CARDINAL
ejpam-6388	480	2	two	CARDINAL
ejpam-6388	480	3	g1	ORG
ejpam-6388	481	1	ω	ORG
ejpam-6388	481	2	0	CARDINAL
ejpam-6388	482	1	g1	ORG
ejpam-6388	483	1	g1	ORG
ejpam-6388	484	1	g1	ORG
ejpam-6388	484	2	d. baleanu et al	PERSON
ejpam-6388	485	1	j. pure	PERSON
ejpam-6388	485	2	18	CARDINAL
ejpam-6388	485	3	4	CARDINAL
ejpam-6388	485	4	2025	CARDINAL
ejpam-6388	485	5	6388 22 of 31	DATE
ejpam-6388	485	6	2(1+ω	CARDINAL
ejpam-6388	485	7	1−ω	CARDINAL
ejpam-6388	487	1	4	CARDINAL
ejpam-6388	487	2	two	CARDINAL
ejpam-6388	487	3	2(1 + ω	DATE
ejpam-6388	488	1	1− ω	PRODUCT
ejpam-6388	488	2	1.5	CARDINAL
ejpam-6388	488	3	f(ω	ORG
ejpam-6388	488	4	4	CARDINAL
ejpam-6388	488	5	19	CARDINAL
ejpam-6388	491	1	4	CARDINAL
ejpam-6388	491	2	1.5	CARDINAL
ejpam-6388	491	3	f(ω	ORG
ejpam-6388	492	1	1 + ω + sin(r	DATE
ejpam-6388	492	2	g4(ω	GPE
ejpam-6388	492	3	1 + ω	DATE
ejpam-6388	492	4	+ 0.1	CARDINAL
ejpam-6388	494	1	|g4(ω	ORG
ejpam-6388	495	1	0.1	CARDINAL
ejpam-6388	495	2	|r− u|	PERSON
ejpam-6388	495	3	0	CARDINAL
ejpam-6388	495	4	|f(ω	ORG
ejpam-6388	495	5	f(ω	ORG
ejpam-6388	497	1	sin(r)−	DATE
ejpam-6388	498	1	200	CARDINAL
ejpam-6388	499	1	1	CARDINAL
ejpam-6388	499	2	5	CARDINAL
ejpam-6388	499	3	2(1 + ω	DATE
ejpam-6388	501	1	1	CARDINAL
ejpam-6388	502	1	about 3.22	CARDINAL
ejpam-6388	502	2	ω	CARDINAL
ejpam-6388	502	3	1	CARDINAL
ejpam-6388	502	4	3.91	CARDINAL
ejpam-6388	502	5	g1	ORG
ejpam-6388	503	1	ω	CARDINAL
ejpam-6388	503	2	1	CARDINAL
ejpam-6388	503	3	d. baleanu et al	PERSON
ejpam-6388	504	1	j. pure	PERSON
ejpam-6388	504	2	18	CARDINAL
ejpam-6388	504	3	4	CARDINAL
ejpam-6388	504	4	2025	CARDINAL
ejpam-6388	504	5	6388 23	DATE
ejpam-6388	504	6	g1) r(ω	ORG
ejpam-6388	504	7	0.00 0.0000 0.0000 0.20	MONEY
ejpam-6388	505	1	2.7247	ORG
ejpam-6388	505	2	0.80	CARDINAL
ejpam-6388	505	3	1.00	CARDINAL
ejpam-6388	505	4	3.9071 3.2210	CARDINAL
ejpam-6388	505	5	1	CARDINAL
ejpam-6388	505	6	4	CARDINAL
ejpam-6388	505	7	g1	ORG
ejpam-6388	505	8	1.5	CARDINAL
ejpam-6388	505	9	f(ω	ORG
ejpam-6388	507	1	5	CARDINAL
ejpam-6388	507	2	4	CARDINAL
ejpam-6388	507	3	g1	ORG
ejpam-6388	507	4	1.5	CARDINAL
ejpam-6388	508	1	g1	ORG
ejpam-6388	509	1	5	CARDINAL
ejpam-6388	510	1	1.8	CARDINAL
ejpam-6388	511	1	1 +	CARDINAL
ejpam-6388	511	2	1 +	DATE
ejpam-6388	513	1	|g5(ω	GPE
ejpam-6388	514	1	1 + ω)|r−	DATE
ejpam-6388	514	2	1	CARDINAL
ejpam-6388	515	1	2	CARDINAL
ejpam-6388	515	2	4	CARDINAL
ejpam-6388	515	3	only 2.42	CARDINAL
ejpam-6388	515	4	ω	CARDINAL
ejpam-6388	515	5	1	CARDINAL
ejpam-6388	515	6	3.22	CARDINAL
ejpam-6388	515	7	ω	ORG
ejpam-6388	516	1	6	CARDINAL
ejpam-6388	517	1	d. baleanu et al	PERSON
ejpam-6388	518	1	j. pure	PERSON
ejpam-6388	518	2	18	CARDINAL
ejpam-6388	518	3	4	CARDINAL
ejpam-6388	518	4	2025	CARDINAL
ejpam-6388	518	5	6388 24	DATE
ejpam-6388	518	6	1.5	CARDINAL
ejpam-6388	518	7	1.8	CARDINAL
ejpam-6388	518	8	0.00	CARDINAL
ejpam-6388	518	9	1.00	CARDINAL
ejpam-6388	518	10	2	CARDINAL
ejpam-6388	518	11	5	CARDINAL
ejpam-6388	518	12	1.5	CARDINAL
ejpam-6388	518	13	1.8	CARDINAL
ejpam-6388	518	14	1 +	DATE
ejpam-6388	518	15	6	CARDINAL
ejpam-6388	518	16	5	CARDINAL
ejpam-6388	518	17	1.5	CARDINAL
ejpam-6388	518	18	1.8	CARDINAL
ejpam-6388	520	1	6	CARDINAL
ejpam-6388	521	1	zhao et al	PERSON
ejpam-6388	522	1	1	CARDINAL
ejpam-6388	522	2	hilal	PERSON
ejpam-6388	522	3	2	CARDINAL
ejpam-6388	522	4	0.75	CARDINAL
ejpam-6388	523	1	zhao et al	PERSON
ejpam-6388	524	1	1	CARDINAL
ejpam-6388	524	2	riemann	PERSON
ejpam-6388	526	1	g(ω, r(ω	ORG
ejpam-6388	526	2	0	CARDINAL
ejpam-6388	526	3	f(ω	ORG
ejpam-6388	526	4	1 + cos(r	QUANTITY
ejpam-6388	526	5	g(ω	ORG
ejpam-6388	527	1	hilal	PERSON
ejpam-6388	527	2	2	CARDINAL
ejpam-6388	529	1	g(ω, r(ω	ORG
ejpam-6388	530	1	r(1	ORG
ejpam-6388	532	1	1	CARDINAL
ejpam-6388	532	2	3	CARDINAL
ejpam-6388	532	3	d. baleanu et al	PERSON
ejpam-6388	533	1	j. pure	PERSON
ejpam-6388	533	2	18	CARDINAL
ejpam-6388	533	3	4	CARDINAL
ejpam-6388	533	4	2025	CARDINAL
ejpam-6388	533	5	6388 25 of 31	DATE
ejpam-6388	533	6	4	CARDINAL
ejpam-6388	533	7	zhao	PERSON
ejpam-6388	533	8	hilal	PERSON
ejpam-6388	533	9	zhao	PERSON
ejpam-6388	533	10	about 2.19	CARDINAL
ejpam-6388	533	11	ω	CARDINAL
ejpam-6388	533	12	1	CARDINAL
ejpam-6388	533	13	3.22	CARDINAL
ejpam-6388	533	14	4	CARDINAL
ejpam-6388	534	1	hilal	PERSON
ejpam-6388	534	2	0	CARDINAL
ejpam-6388	534	3	1.95	CARDINAL
ejpam-6388	534	4	ω	CARDINAL
ejpam-6388	534	5	1	CARDINAL
ejpam-6388	534	6	7	CARDINAL
ejpam-6388	535	1	0.75	CARDINAL
ejpam-6388	535	2	1.5	CARDINAL
ejpam-6388	536	1	ω r(ω	GPE
ejpam-6388	536	2	4) r(ω	DATE
ejpam-6388	536	3	zhao) r(ω	PERSON
ejpam-6388	536	4	0.00	CARDINAL
ejpam-6388	537	1	2.7703	ORG
ejpam-6388	537	2	3	CARDINAL
ejpam-6388	537	3	6	CARDINAL
ejpam-6388	537	4	4	CARDINAL
ejpam-6388	537	5	1.5	CARDINAL
ejpam-6388	537	6	zhao et al	PERSON
ejpam-6388	538	1	0.75	CARDINAL
ejpam-6388	538	2	hilal	PERSON
ejpam-6388	538	3	0.75	CARDINAL
ejpam-6388	538	4	caputo + bc	PERSON
ejpam-6388	539	1	7	CARDINAL
ejpam-6388	539	2	6	CARDINAL
ejpam-6388	539	3	4	CARDINAL
ejpam-6388	539	4	1.5	CARDINAL
ejpam-6388	539	5	zhao et al	PERSON
ejpam-6388	540	1	0.75	CARDINAL
ejpam-6388	540	2	hilal	PERSON
ejpam-6388	540	3	0.75	CARDINAL
ejpam-6388	541	1	zhao	PERSON
ejpam-6388	541	2	hilal	PERSON
ejpam-6388	541	3	hilal	PERSON
ejpam-6388	542	1	hammerstein	PERSON
ejpam-6388	543	1	example 4	DATE
ejpam-6388	543	2	g1	ORG
ejpam-6388	543	3	5	CARDINAL
ejpam-6388	544	1	j. pure	PERSON
ejpam-6388	544	2	18	CARDINAL
ejpam-6388	544	3	4	CARDINAL
ejpam-6388	544	4	2025	CARDINAL
ejpam-6388	544	5	6388 26	CARDINAL
ejpam-6388	544	6	31	CARDINAL
ejpam-6388	545	1	6	CARDINAL
ejpam-6388	545	2	1.5	CARDINAL
ejpam-6388	545	3	0.75	CARDINAL
ejpam-6388	545	4	hilal	PERSON
ejpam-6388	546	1	1–3	CARDINAL
ejpam-6388	547	1	7	CARDINAL
ejpam-6388	547	2	riemann–liouville fractional derivatives of order	ORG
ejpam-6388	549	1	1	CARDINAL
ejpam-6388	549	2	2	CARDINAL
ejpam-6388	550	1	3	CARDINAL
ejpam-6388	551	1	1–4	CARDINAL
ejpam-6388	553	1	•	CARDINAL
ejpam-6388	553	2	1	CARDINAL
ejpam-6388	554	1	•	CARDINAL
ejpam-6388	555	1	•	CARDINAL
ejpam-6388	555	2	•	CARDINAL
ejpam-6388	556	1	•	CARDINAL
ejpam-6388	559	1	j. pure	PERSON
ejpam-6388	559	2	18	CARDINAL
ejpam-6388	559	3	4	CARDINAL
ejpam-6388	559	4	2025	CARDINAL
ejpam-6388	559	5	6388 27	DATE
ejpam-6388	559	6	31	CARDINAL
ejpam-6388	561	1	m. khuddush	PERSON
ejpam-6388	561	2	jaipur	GPE
ejpam-6388	561	3	india	GPE
ejpam-6388	562	1	b. m. b. krushna	PERSON
ejpam-6388	562	2	india	GPE
ejpam-6388	563	1	1	CARDINAL
ejpam-6388	563	2	y zhao	PERSON
ejpam-6388	563	3	han	NORP
ejpam-6388	563	4	li	PERSON
ejpam-6388	567	1	62(3):1312–1324, 2011	DATE
ejpam-6388	568	1	2	CARDINAL
ejpam-6388	568	2	k hilal	PERSON
ejpam-6388	570	1	2015	DATE
ejpam-6388	571	1	3	CARDINAL
ejpam-6388	573	1	2024	DATE
ejpam-6388	574	1	4	CARDINAL
ejpam-6388	576	1	john wiley & sons	ORG
ejpam-6388	576	2	nj, usa, 2014	ORG
ejpam-6388	577	1	5	CARDINAL
ejpam-6388	579	1	j.	GPE
ejpam-6388	579	2	68(1):46–53, 1995	DATE
ejpam-6388	580	1	6	CARDINAL
ejpam-6388	580	2	srivastava	PERSON
ejpam-6388	580	3	jj trujillo	PERSON
ejpam-6388	581	1	amsterdam	GPE
ejpam-6388	581	2	netherlands	GPE
ejpam-6388	581	3	2006	DATE
ejpam-6388	587	1	59(5):1586–1593	CARDINAL
ejpam-6388	587	2	2010	DATE
ejpam-6388	588	1	8	CARDINAL
ejpam-6388	591	1	lett.	PERSON
ejpam-6388	591	2	24(8):1369–1373, 2011	DATE
ejpam-6388	592	1	9	CARDINAL
ejpam-6388	592	2	ks miller	PERSON
ejpam-6388	594	1	john wiley & sons	ORG
ejpam-6388	594	2	new york	GPE
ejpam-6388	594	3	usa	GPE
ejpam-6388	594	4	1993	DATE
ejpam-6388	595	1	10	CARDINAL
ejpam-6388	595	2	mka kaabar	ORG
ejpam-6388	595	3	j alzabut	PERSON
ejpam-6388	595	4	agm selvam	ORG
ejpam-6388	596	1	crimean	NORP
ejpam-6388	597	1	j. funct	PERSON
ejpam-6388	598	1	2021(1):1273405	CARDINAL
ejpam-6388	598	2	2021	CARDINAL
ejpam-6388	599	1	11	CARDINAL
ejpam-6388	599	2	kr prasad	PERSON
ejpam-6388	599	3	bmb krushna	PERSON
ejpam-6388	599	4	vvrrb raju	PERSON
ejpam-6388	600	1	riemann– liouville	ORG
ejpam-6388	601	1	24(3):619–629	DATE
ejpam-6388	601	2	2017	DATE
ejpam-6388	602	1	12	CARDINAL
ejpam-6388	602	2	x zhang	PERSON
ejpam-6388	602	3	w ge	PERSON
ejpam-6388	605	1	probl	ORG
ejpam-6388	605	2	720702:1–20, 2011	DATE
ejpam-6388	606	1	13	CARDINAL
ejpam-6388	606	2	fj	NORP
ejpam-6388	607	1	d.	NORP
ejpam-6388	608	1	j. pure	PERSON
ejpam-6388	608	2	18	CARDINAL
ejpam-6388	608	3	4	CARDINAL
ejpam-6388	608	4	2025	CARDINAL
ejpam-6388	608	5	6388 28	DATE
ejpam-6388	608	6	31	CARDINAL
ejpam-6388	609	1	bull	PERSON
ejpam-6388	610	1	iran	GPE
ejpam-6388	612	1	39(2):307–323	ORG
ejpam-6388	612	2	2013	DATE
ejpam-6388	613	1	14	CARDINAL
ejpam-6388	613	2	x zhang	PERSON
ejpam-6388	615	1	j. math	PERSON
ejpam-6388	617	1	332(2):1468–1476, 2007	DATE
ejpam-6388	618	1	15	CARDINAL
ejpam-6388	618	2	yj cho	PERSON
ejpam-6388	620	1	18(2):569–578	DATE
ejpam-6388	620	2	2017	DATE
ejpam-6388	621	1	16	CARDINAL
ejpam-6388	621	2	ahmad	PERSON
ejpam-6388	621	3	j tariboon	PERSON
ejpam-6388	622	1	caputo fractional integro-differential	ORG
ejpam-6388	624	1	sci.	ORG
ejpam-6388	624	2	36:1631–1640	DATE
ejpam-6388	624	3	2016	DATE
ejpam-6388	625	1	17	CARDINAL
ejpam-6388	628	1	syst	LOC
ejpam-6388	628	2	4(3):414–424, 2010	DATE
ejpam-6388	629	1	18	CARDINAL
ejpam-6388	629	2	aem herzallah	ORG
ejpam-6388	632	1	2014(1):389386, 2014	DATE
ejpam-6388	633	1	19	CARDINAL
ejpam-6388	633	2	ali	PERSON
ejpam-6388	633	3	khan	GPE
ejpam-6388	633	4	iqbal	PERSON
ejpam-6388	635	1	matriks sains	PERSON
ejpam-6388	635	2	2(1):13–17	CARDINAL
ejpam-6388	635	3	2018	DATE
ejpam-6388	636	1	20	CARDINAL
ejpam-6388	638	1	facta univ.	ORG
ejpam-6388	639	1	35(5):1239–1250	CARDINAL
ejpam-6388	639	2	2020	DATE
ejpam-6388	640	1	21] lb	QUANTITY
ejpam-6388	642	1	amer	PERSON
ejpam-6388	643	1	45(2):267–273, 1974	DATE
ejpam-6388	644	1	22	CARDINAL
ejpam-6388	644	2	cantor	ORG
ejpam-6388	644	3	2-metric	QUANTITY
ejpam-6388	645	1	taiwanese	NORP
ejpam-6388	645	2	j. math	PERSON
ejpam-6388	645	3	15(1):337–352, 2011	DATE
ejpam-6388	646	1	23	CARDINAL
ejpam-6388	646	2	kr prasad	PERSON
ejpam-6388	647	1	two	CARDINAL
ejpam-6388	648	1	afr.	PERSON
ejpam-6388	649	1	32:1227–1237	CARDINAL
ejpam-6388	649	2	2021	CARDINAL
ejpam-6388	650	1	24	CARDINAL
ejpam-6388	653	1	2016(33):1–14	ORG
ejpam-6388	653	2	2016	DATE
ejpam-6388	654	1	25	CARDINAL
ejpam-6388	654	2	s. rezapour	PERSON
ejpam-6388	656	1	crc press	ORG
ejpam-6388	656	2	taylor	PERSON
ejpam-6388	656	3	francis	PERSON
ejpam-6388	656	4	2025	DATE
ejpam-6388	657	1	26	CARDINAL
ejpam-6388	657	2	bai	ORG
ejpam-6388	658	1	j. math	PERSON
ejpam-6388	660	1	311(2):495–505, 2005	DATE
ejpam-6388	661	1	4	CARDINAL
ejpam-6388	661	2	1.5	CARDINAL
ejpam-6388	661	3	1	CARDINAL
ejpam-6388	661	4	5	CARDINAL
ejpam-6388	661	5	f1	PERSON
ejpam-6388	661	6	f2	ORG
ejpam-6388	661	7	2	CARDINAL
ejpam-6388	661	8	6	CARDINAL
ejpam-6388	661	9	g1	ORG
ejpam-6388	661	10	3	CARDINAL
ejpam-6388	661	11	d. baleanu et al	PERSON
ejpam-6388	662	1	j. pure	PERSON
ejpam-6388	662	2	18	CARDINAL
ejpam-6388	662	3	4	CARDINAL
ejpam-6388	662	4	2025	CARDINAL
ejpam-6388	662	5	6388 29	DATE
ejpam-6388	662	6	1.5	CARDINAL
ejpam-6388	663	1	ω r(ω	GPE
ejpam-6388	663	2	1.5	CARDINAL
ejpam-6388	663	3	ω r(ω	GPE
ejpam-6388	663	4	1.5	CARDINAL
ejpam-6388	663	5	0.00	CARDINAL
ejpam-6388	664	1	0.80	CARDINAL
ejpam-6388	664	2	0.0766	MONEY
ejpam-6388	664	3	0.50	CARDINAL
ejpam-6388	664	4	0.58	CARDINAL
ejpam-6388	664	5	1.0168	MONEY
ejpam-6388	665	1	1.0300 0.27	MONEY
ejpam-6388	665	2	1.0434	CARDINAL
ejpam-6388	665	3	0.96	CARDINAL
ejpam-6388	665	4	1.1044	ORG
ejpam-6388	666	1	1.0412 0.29 0.4959	QUANTITY
ejpam-6388	666	2	1.0543	MONEY
ejpam-6388	666	3	4	CARDINAL
ejpam-6388	666	4	1.5	CARDINAL
ejpam-6388	667	1	j. pure	PERSON
ejpam-6388	667	2	18	CARDINAL
ejpam-6388	667	3	4	CARDINAL
ejpam-6388	667	4	2025	CARDINAL
ejpam-6388	667	5	6388 30	DATE
ejpam-6388	667	6	f2	ORG
ejpam-6388	667	7	0.00	CARDINAL
ejpam-6388	667	8	2.2018	ORG
ejpam-6388	667	9	0.69	CARDINAL
ejpam-6388	667	10	0.04	CARDINAL
ejpam-6388	668	1	0.42	CARDINAL
ejpam-6388	668	2	0.78	CARDINAL
ejpam-6388	668	3	0.16	CARDINAL
ejpam-6388	668	4	0.84	CARDINAL
ejpam-6388	668	5	0.19	CARDINAL
ejpam-6388	668	6	0.92	CARDINAL
ejpam-6388	668	7	2.9048	MONEY
ejpam-6388	668	8	0.99	CARDINAL
ejpam-6388	668	9	0.33	CARDINAL
ejpam-6388	668	10	0.6662	MONEY
ejpam-6388	668	11	5	CARDINAL
ejpam-6388	668	12	19	CARDINAL
ejpam-6388	668	13	19	CARDINAL
ejpam-6388	669	1	d. baleanu et	PERSON
ejpam-6388	670	1	j. pure	PERSON
ejpam-6388	670	2	18	CARDINAL
ejpam-6388	670	3	4	CARDINAL
ejpam-6388	670	4	2025	CARDINAL
ejpam-6388	670	5	6388 31	DATE
ejpam-6388	670	6	31 ω	CARDINAL
ejpam-6388	670	7	g1	ORG
ejpam-6388	670	8	g1	ORG
ejpam-6388	670	9	g1	ORG
ejpam-6388	670	10	0.00 0.0000 0.0000 0.34	MONEY
ejpam-6388	671	1	0.46	MONEY
ejpam-6388	671	2	6	CARDINAL
ejpam-6388	671	3	0	CARDINAL
ejpam-6388	671	4	1.00	CARDINAL