id	sid	eid	entity	type
ejpam-6811	1	1	european journal	ORG
ejpam-6811	1	2	2025	DATE
ejpam-6811	1	3	18	CARDINAL
ejpam-6811	1	4	4	CARDINAL
ejpam-6811	1	5	6811	CARDINAL
ejpam-6811	1	6	1307-5543	DATE
ejpam-6811	1	7	new york	GPE
ejpam-6811	1	8	sagheer1	PRODUCT
ejpam-6811	1	9	haitham qawaqneh2	PERSON
ejpam-6811	1	10	samina batul1	PERSON
ejpam-6811	1	11	isma urooj1	PERSON
ejpam-6811	1	12	zainab rahman1	PERSON
ejpam-6811	1	13	1	CARDINAL
ejpam-6811	1	14	capital university of science and technology	ORG
ejpam-6811	1	15	islamabad	GPE
ejpam-6811	1	16	pakistan	GPE
ejpam-6811	1	17	2	CARDINAL
ejpam-6811	1	18	al-zaytoonah university	ORG
ejpam-6811	1	19	jordan	GPE
ejpam-6811	1	20	11733	DATE
ejpam-6811	1	21	jordan 3 université de sousse	ORG
ejpam-6811	1	22	institut supérieur d’informatique et des techniques de communication	ORG
ejpam-6811	1	23	h. sousse 4000	PERSON
ejpam-6811	1	24	tunisia 4	ORG
ejpam-6811	1	25	sefako makgatho health sciences university	ORG
ejpam-6811	1	26	ga	ORG
ejpam-6811	1	27	south africa	GPE
ejpam-6811	5	1	2020	DATE
ejpam-6811	5	2	34a08	CARDINAL
ejpam-6811	5	3	47h10	CARDINAL
ejpam-6811	5	4	54h25	CARDINAL
ejpam-6811	5	5	1	CARDINAL
ejpam-6811	8	1	1	CARDINAL
ejpam-6811	8	2	2	CARDINAL
ejpam-6811	9	1	3	CARDINAL
ejpam-6811	10	1	czerwik	ORG
ejpam-6811	10	2	4	CARDINAL
ejpam-6811	10	3	5	CARDINAL
ejpam-6811	11	1	d. e. shehwar sagheer	PERSON
ejpam-6811	11	2	h.alqawaqneh@zuj.edu.jo (h. qawaqneh	ORG
ejpam-6811	11	3	i. urooj	PERSON
ejpam-6811	11	4	z. rahman	PERSON
ejpam-6811	11	5	1	CARDINAL
ejpam-6811	12	1	2025	CARDINAL
ejpam-6811	13	1	d. e. shehwar sagheer et al	PERSON
ejpam-6811	14	1	j. pure	PERSON
ejpam-6811	14	2	18	CARDINAL
ejpam-6811	14	3	4	CARDINAL
ejpam-6811	14	4	2025	CARDINAL
ejpam-6811	14	5	6811 2	DATE
ejpam-6811	14	6	24	DATE
ejpam-6811	16	1	6	CARDINAL
ejpam-6811	18	1	17–21	CARDINAL
ejpam-6811	20	1	karapinar et al	PERSON
ejpam-6811	21	1	22	CARDINAL
ejpam-6811	21	2	wongsaijai et al	PERSON
ejpam-6811	22	1	23	CARDINAL
ejpam-6811	24	1	bmss	NORP
ejpam-6811	26	1	karapinar et al	PERSON
ejpam-6811	27	1	22	CARDINAL
ejpam-6811	28	1	wongsaijai et al	PERSON
ejpam-6811	29	1	23	CARDINAL
ejpam-6811	31	1	two	CARDINAL
ejpam-6811	34	1	2	CARDINAL
ejpam-6811	34	2	e(ḡ	DATE
ejpam-6811	36	1	1	CARDINAL
ejpam-6811	37	1	6=	CARDINAL
ejpam-6811	37	2	∈	ORG
ejpam-6811	37	3	1	CARDINAL
ejpam-6811	38	1	0,∞	DATE
ejpam-6811	38	2	d. e. shehwar sagheer et al	PERSON
ejpam-6811	39	1	j. pure	PERSON
ejpam-6811	39	2	18	CARDINAL
ejpam-6811	39	3	4	CARDINAL
ejpam-6811	39	4	2025	CARDINAL
ejpam-6811	39	5	6811 3	DATE
ejpam-6811	39	6	24	CARDINAL
ejpam-6811	41	1	1	CARDINAL
ejpam-6811	42	1	27	CARDINAL
ejpam-6811	42	2	0	CARDINAL
ejpam-6811	42	3	1	CARDINAL
ejpam-6811	47	1	∞∑ k=1	PERSON
ejpam-6811	47	2	2 1	CARDINAL
ejpam-6811	49	1	28	CARDINAL
ejpam-6811	50	1	2	CARDINAL
ejpam-6811	52	1	e(ḡ	DATE
ejpam-6811	54	1	3	CARDINAL
ejpam-6811	55	1	e(ḡ	DATE
ejpam-6811	55	2	c(t	ORG
ejpam-6811	55	3	tx	ORG
ejpam-6811	55	4	s.	PERSON
ejpam-6811	56	1	tx	ORG
ejpam-6811	56	2	two	CARDINAL
ejpam-6811	57	1	tx	ORG
ejpam-6811	57	2	sx	ORG
ejpam-6811	57	3	∈	ORG
ejpam-6811	58	1	1	CARDINAL
ejpam-6811	59	1	∈	ORG
ejpam-6811	60	1	4	CARDINAL
ejpam-6811	62	1	n ∈ n	ORG
ejpam-6811	63	1	d. e. shehwar sagheer et al	PERSON
ejpam-6811	64	1	j. pure	PERSON
ejpam-6811	64	2	18	CARDINAL
ejpam-6811	64	3	4	CARDINAL
ejpam-6811	64	4	2025	CARDINAL
ejpam-6811	64	5	6811 4	DATE
ejpam-6811	64	6	24	CARDINAL
ejpam-6811	64	7	2	CARDINAL
ejpam-6811	65	1	e(ḡ	DATE
ejpam-6811	65	2	ḡ	GPE
ejpam-6811	65	3	∈	ORG
ejpam-6811	65	4	1	CARDINAL
ejpam-6811	65	5	5	CARDINAL
ejpam-6811	67	1	two	CARDINAL
ejpam-6811	67	2	ḡ	GPE
ejpam-6811	67	3	sx	ORG
ejpam-6811	67	4	tx	ORG
ejpam-6811	68	1	x. agarwal et al	PERSON
ejpam-6811	69	1	29	CARDINAL
ejpam-6811	70	1	two	CARDINAL
ejpam-6811	74	1	two	CARDINAL
ejpam-6811	75	1	6	CARDINAL
ejpam-6811	76	1	e(ḡ	DATE
ejpam-6811	77	1	lim n→∞	PERSON
ejpam-6811	78	1	0	CARDINAL
ejpam-6811	78	2	lim	PERSON
ejpam-6811	78	3	n→∞	CARDINAL
ejpam-6811	78	4	txn = lim	PERSON
ejpam-6811	78	5	n→∞	CARDINAL
ejpam-6811	81	1	two	CARDINAL
ejpam-6811	81	2	two	CARDINAL
ejpam-6811	83	1	23	CARDINAL
ejpam-6811	83	2	22	CARDINAL
ejpam-6811	84	1	8	DATE
ejpam-6811	85	1	two	CARDINAL
ejpam-6811	87	1	0	CARDINAL
ejpam-6811	87	2	1	CARDINAL
ejpam-6811	87	3	lim n→∞ ψ(xn	ORG
ejpam-6811	87	4	1	CARDINAL
ejpam-6811	87	5	n→∞ db(xn	GPE
ejpam-6811	87	6	0	CARDINAL
ejpam-6811	90	1	0,∞	CARDINAL
ejpam-6811	91	1	0,∞	DATE
ejpam-6811	92	1	0x	CARDINAL
ejpam-6811	92	2	0	CARDINAL
ejpam-6811	93	1	φ	ORG
ejpam-6811	94	1	d. e. shehwar sagheer et al	PERSON
ejpam-6811	95	1	j. pure	PERSON
ejpam-6811	95	2	18	CARDINAL
ejpam-6811	95	3	4	CARDINAL
ejpam-6811	95	4	2025	CARDINAL
ejpam-6811	95	5	6811 5	DATE
ejpam-6811	95	6	24 3	DATE
ejpam-6811	97	1	9	DATE
ejpam-6811	98	1	e(ḡ	DATE
ejpam-6811	98	2	two	CARDINAL
ejpam-6811	98	3	ḡ	GPE
ejpam-6811	98	4	two	CARDINAL
ejpam-6811	98	5	φ ∈ φ	ORG
ejpam-6811	98	6	∈	ORG
ejpam-6811	98	7	ψ(sx	ORG
ejpam-6811	98	8	sy)φ(δ(m((sx	GPE
ejpam-6811	98	9	2	CARDINAL
ejpam-6811	98	10	3	CARDINAL
ejpam-6811	98	11	0,∞	DATE
ejpam-6811	99	1	max	PERSON
ejpam-6811	99	2	tx	ORG
ejpam-6811	100	1	tx	ORG
ejpam-6811	100	2	2b	CARDINAL
ejpam-6811	101	1	3	CARDINAL
ejpam-6811	101	2	1	CARDINAL
ejpam-6811	102	1	30	CARDINAL
ejpam-6811	102	2	1	CARDINAL
ejpam-6811	103	1	1	CARDINAL
ejpam-6811	103	2	n→∞ db(xn	GPE
ejpam-6811	104	1	n→∞ db(xn	GPE
ejpam-6811	106	1	0	CARDINAL
ejpam-6811	107	1	∈	ORG
ejpam-6811	107	2	1	CARDINAL
ejpam-6811	107	3	n→∞ db(xn	GPE
ejpam-6811	107	4	n→∞ db(xn	GPE
ejpam-6811	108	1	2	CARDINAL
ejpam-6811	110	1	1	CARDINAL
ejpam-6811	110	2	⊆	CARDINAL
ejpam-6811	110	3	2	CARDINAL
ejpam-6811	110	4	3	CARDINAL
ejpam-6811	110	5	n→∞ db(sxn	TIME
ejpam-6811	110	6	0	CARDINAL
ejpam-6811	112	1	{kn	PERSON
ejpam-6811	112	2	db(sxjn−1	GPE
ejpam-6811	113	1	4	CARDINAL
ejpam-6811	113	2	d. e. shehwar sagheer et al	PERSON
ejpam-6811	114	1	j. pure	PERSON
ejpam-6811	114	2	18	CARDINAL
ejpam-6811	114	3	4	CARDINAL
ejpam-6811	114	4	2025	CARDINAL
ejpam-6811	114	5	6811 6	DATE
ejpam-6811	114	6	24	CARDINAL
ejpam-6811	114	7	ε ≤ db(xjn	PRODUCT
ejpam-6811	115	1	xkn	PERSON
ejpam-6811	116	1	n→∞ db(xjn	QUANTITY
ejpam-6811	117	1	n→∞ db(xjn	QUANTITY
ejpam-6811	118	1	5	CARDINAL
ejpam-6811	118	2	n→∞ db(xjn	QUANTITY
ejpam-6811	118	3	n→∞ db(xjn	QUANTITY
ejpam-6811	118	4	n→∞	DATE
ejpam-6811	118	5	xkn	PERSON
ejpam-6811	118	6	n→∞ db(xjn+1	GPE
ejpam-6811	118	7	xkn	PERSON
ejpam-6811	118	8	n→∞	DATE
ejpam-6811	118	9	n→∞ db(xjn+1	FAC
ejpam-6811	120	1	⊆	CARDINAL
ejpam-6811	121	1	sx0	NORP
ejpam-6811	121	2	tx0	PERSON
ejpam-6811	121	3	sx0	NORP
ejpam-6811	121	4	∈	ORG
ejpam-6811	121	5	∈	ORG
ejpam-6811	122	1	6	CARDINAL
ejpam-6811	122	2	max	PERSON
ejpam-6811	122	3	db(sxkn	ORG
ejpam-6811	123	1	2b	CARDINAL
ejpam-6811	123	2	max	PERSON
ejpam-6811	123	3	db(sxkn	GPE
ejpam-6811	124	1	+ db(sxkn	GPE
ejpam-6811	124	2	2b	CARDINAL
ejpam-6811	125	1	max	PERSON
ejpam-6811	125	2	db(sxkn	GPE
ejpam-6811	127	1	+ db(sxkn	GPE
ejpam-6811	128	1	2	CARDINAL
ejpam-6811	129	1	3	CARDINAL
ejpam-6811	129	2	lim	PERSON
ejpam-6811	129	3	m(sxkn	ORG
ejpam-6811	130	1	d. e. shehwar sagheer et al	PERSON
ejpam-6811	131	1	j. pure	PERSON
ejpam-6811	131	2	18	CARDINAL
ejpam-6811	131	3	4	CARDINAL
ejpam-6811	131	4	2025	CARDINAL
ejpam-6811	131	5	6811 7	DATE
ejpam-6811	131	6	24	DATE
ejpam-6811	131	7	6	CARDINAL
ejpam-6811	131	8	sup k→∞	PERSON
ejpam-6811	131	9	db(sxjn+1	DATE
ejpam-6811	132	1	δ(db(sxkn	PERSON
ejpam-6811	133	1	φ	ORG
ejpam-6811	133	2	φ	ORG
ejpam-6811	134	1	φ(db(sxjn+1	GPE
ejpam-6811	135	1	φ(δ(db(sxkn	ORG
ejpam-6811	136	1	φ	ORG
ejpam-6811	136	2	φ	ORG
ejpam-6811	137	1	1	CARDINAL
ejpam-6811	137	2	3	CARDINAL
ejpam-6811	139	1	1	CARDINAL
ejpam-6811	140	1	e(ḡ	DATE
ejpam-6811	143	1	w.r.t d′b	GPE
ejpam-6811	143	2	⊆	CARDINAL
ejpam-6811	143	3	6=	CARDINAL
ejpam-6811	143	4	6=	DATE
ejpam-6811	144	1	7	CARDINAL
ejpam-6811	145	1	c(t	ORG
ejpam-6811	146	1	tx	ORG
ejpam-6811	147	1	tx	ORG
ejpam-6811	147	2	sx	ORG
ejpam-6811	147	3	sx	ORG
ejpam-6811	147	4	⊂	GPE
ejpam-6811	147	5	e(ḡ	DATE
ejpam-6811	148	1	sx	ORG
ejpam-6811	148	2	tx	ORG
ejpam-6811	148	3	sx	ORG
ejpam-6811	148	4	∈	ORG
ejpam-6811	148	5	∈	ORG
ejpam-6811	148	6	6=	DATE
ejpam-6811	149	1	sx0	NORP
ejpam-6811	149	2	tx0	PERSON
ejpam-6811	150	1	2	CARDINAL
ejpam-6811	150	2	xn−1 ∈ c(t	GPE
ejpam-6811	151	1	6=	CARDINAL
ejpam-6811	151	2	sx0	NORP
ejpam-6811	151	3	tx0	PERSON
ejpam-6811	151	4	sx0	NORP
ejpam-6811	151	5	∈	ORG
ejpam-6811	152	1	8)	CARDINAL
ejpam-6811	152	2	d. e. shehwar sagheer et al	PERSON
ejpam-6811	153	1	j. pure	PERSON
ejpam-6811	153	2	18	CARDINAL
ejpam-6811	153	3	4	CARDINAL
ejpam-6811	153	4	2025	CARDINAL
ejpam-6811	153	5	6811 8 of 24	DATE
ejpam-6811	154	1	max	PERSON
ejpam-6811	155	1	2b	CARDINAL
ejpam-6811	156	1	max	PERSON
ejpam-6811	156	2	2b	CARDINAL
ejpam-6811	156	3	max	PERSON
ejpam-6811	156	4	2b	CARDINAL
ejpam-6811	159	1	8)	CARDINAL
ejpam-6811	160	1	6=	CARDINAL
ejpam-6811	161	1	0	CARDINAL
ejpam-6811	163	1	0	CARDINAL
ejpam-6811	164	1	sxn+1	DATE
ejpam-6811	166	1	1	CARDINAL
ejpam-6811	167	1	0	CARDINAL
ejpam-6811	167	2	φ(db(sxn+1	CARDINAL
ejpam-6811	167	3	sxn+1))φ(db(sxn	ORG
ejpam-6811	167	4	9	CARDINAL
ejpam-6811	169	1	0	CARDINAL
ejpam-6811	170	1	lim n→∞ db(sxn	PERSON
ejpam-6811	171	1	0	CARDINAL
ejpam-6811	172	1	lim n→∞	PERSON
ejpam-6811	172	2	0	CARDINAL
ejpam-6811	172	3	9	CARDINAL
ejpam-6811	172	4	1	CARDINAL
ejpam-6811	174	1	sxn+1	DATE
ejpam-6811	175	1	lim	PERSON
ejpam-6811	175	2	sxn+1	DATE
ejpam-6811	175	3	1	CARDINAL
ejpam-6811	175	4	lim	ORG
ejpam-6811	175	5	0	CARDINAL
ejpam-6811	175	6	0	CARDINAL
ejpam-6811	176	1	lim	PERSON
ejpam-6811	176	2	n→∞ db(sxn	TIME
ejpam-6811	177	1	0	CARDINAL
ejpam-6811	177	2	d. e. shehwar sagheer et al	PERSON
ejpam-6811	178	1	j. pure	PERSON
ejpam-6811	178	2	18	CARDINAL
ejpam-6811	178	3	4	CARDINAL
ejpam-6811	178	4	2025	CARDINAL
ejpam-6811	178	5	6811 9	DATE
ejpam-6811	178	6	24	CARDINAL
ejpam-6811	178	7	2	CARDINAL
ejpam-6811	183	1	n0 ∈ n	ORG
ejpam-6811	183	2	ε ∀m	ORG
ejpam-6811	183	3	n ≥ n0.	GPE
ejpam-6811	185	1	∈	ORG
ejpam-6811	186	1	lim n→∞	FAC
ejpam-6811	188	1	n→∞	CARDINAL
ejpam-6811	189	1	txn = x∗.	PERSON
ejpam-6811	189	2	10	CARDINAL
ejpam-6811	189	3	s. hence	PERSON
ejpam-6811	189	4	lim	ORG
ejpam-6811	190	1	0	CARDINAL
ejpam-6811	191	1	11	CARDINAL
ejpam-6811	191	2	d′b(sx	ORG
ejpam-6811	192	1	tx	ORG
ejpam-6811	192	2	bd′b(sx ∗	PERSON
ejpam-6811	192	3	tx	ORG
ejpam-6811	193	1	10	CARDINAL
ejpam-6811	193	2	d′b(sx	ORG
ejpam-6811	194	1	6=	DATE
ejpam-6811	195	1	2	CARDINAL
ejpam-6811	197	1	two	CARDINAL
ejpam-6811	198	1	1	CARDINAL
ejpam-6811	198	2	2	CARDINAL
ejpam-6811	198	3	⊆	CARDINAL
ejpam-6811	198	4	3	CARDINAL
ejpam-6811	198	5	4	CARDINAL
ejpam-6811	198	6	5	CARDINAL
ejpam-6811	198	7	ḡ	GPE
ejpam-6811	198	8	1	CARDINAL
ejpam-6811	199	1	6=	CARDINAL
ejpam-6811	200	1	12	CARDINAL
ejpam-6811	201	1	1	CARDINAL
ejpam-6811	201	2	5	CARDINAL
ejpam-6811	201	3	6=	CARDINAL
ejpam-6811	201	4	c(t	ORG
ejpam-6811	201	5	6=	DATE
ejpam-6811	202	1	d. e. shehwar sagheer et al	PERSON
ejpam-6811	203	1	j. pure	PERSON
ejpam-6811	203	2	18	CARDINAL
ejpam-6811	203	3	4	CARDINAL
ejpam-6811	203	4	2025	CARDINAL
ejpam-6811	203	5	6811 10	DATE
ejpam-6811	203	6	∈	ORG
ejpam-6811	204	1	lim n→∞	FAC
ejpam-6811	204	2	n→∞	CARDINAL
ejpam-6811	205	1	13	CARDINAL
ejpam-6811	206	1	sx∗.	NORP
ejpam-6811	206	2	∗	CARDINAL
ejpam-6811	206	3	0	CARDINAL
ejpam-6811	207	1	14	CARDINAL
ejpam-6811	207	2	sx ∗	ORG
ejpam-6811	207	3	∈	ORG
ejpam-6811	207	4	ḡ	GPE
ejpam-6811	207	5	a.	PERSON
ejpam-6811	207	6	db(sx ∗	ORG
ejpam-6811	208	1	tx	ORG
ejpam-6811	209	1	tx	ORG
ejpam-6811	210	1	∗	CARDINAL
ejpam-6811	210	2	tx	ORG
ejpam-6811	211	1	sx ∗	ORG
ejpam-6811	212	1	sx ∗	ORG
ejpam-6811	212	2	15	CARDINAL
ejpam-6811	213	1	max	PERSON
ejpam-6811	213	2	∗	CARDINAL
ejpam-6811	213	3	sx ∗	ORG
ejpam-6811	213	4	db(sx ∗	ORG
ejpam-6811	213	5	tx	ORG
ejpam-6811	213	6	2b	CARDINAL
ejpam-6811	214	1	13	CARDINAL
ejpam-6811	214	2	lim	ORG
ejpam-6811	214	3	n→∞	CARDINAL
ejpam-6811	215	1	lim	ORG
ejpam-6811	215	2	n→∞	CARDINAL
ejpam-6811	215	3	db(sx ∗	ORG
ejpam-6811	215	4	0	CARDINAL
ejpam-6811	216	1	15	CARDINAL
ejpam-6811	216	2	lim	PERSON
ejpam-6811	216	3	n→∞	PRODUCT
ejpam-6811	217	1	1	CARDINAL
ejpam-6811	217	2	sx ∗	ORG
ejpam-6811	218	1	∗	CARDINAL
ejpam-6811	220	1	14	CARDINAL
ejpam-6811	221	1	c(t	ORG
ejpam-6811	221	2	6=	DATE
ejpam-6811	222	1	3	CARDINAL
ejpam-6811	223	1	1	CARDINAL
ejpam-6811	223	2	y ∈ c(t	PERSON
ejpam-6811	223	3	6=	CARDINAL
ejpam-6811	223	4	6=	CARDINAL
ejpam-6811	223	5	⇔ cm(t	PERSON
ejpam-6811	223	6	6=	DATE
ejpam-6811	225	1	1	CARDINAL
ejpam-6811	225	2	tx	ORG
ejpam-6811	228	1	sx	ORG
ejpam-6811	232	1	d. e. shehwar sagheer et al	PERSON
ejpam-6811	233	1	j. pure	PERSON
ejpam-6811	233	2	18	CARDINAL
ejpam-6811	233	3	4	CARDINAL
ejpam-6811	233	4	2025	CARDINAL
ejpam-6811	233	5	6811 11	DATE
ejpam-6811	233	6	24	CARDINAL
ejpam-6811	233	7	ψ(sx	ORG
ejpam-6811	233	8	1	CARDINAL
ejpam-6811	236	1	lim n→∞	PERSON
ejpam-6811	236	2	txn = lim n→∞	PERSON
ejpam-6811	237	1	tx	ORG
ejpam-6811	238	1	lim	PERSON
ejpam-6811	238	2	n→∞ d′b(stxn	GPE
ejpam-6811	239	1	∈ c(t	ORG
ejpam-6811	240	1	∈	ORG
ejpam-6811	241	1	4.	CARDINAL
ejpam-6811	241	2	δ(m((sx	GPE
ejpam-6811	242	1	1	CARDINAL
ejpam-6811	244	1	1	CARDINAL
ejpam-6811	245	1	w.r.t d′b	GPE
ejpam-6811	245	2	2	CARDINAL
ejpam-6811	245	3	⊆	CARDINAL
ejpam-6811	245	4	3	CARDINAL
ejpam-6811	245	5	4	CARDINAL
ejpam-6811	245	6	5	CARDINAL
ejpam-6811	245	7	6	CARDINAL
ejpam-6811	245	8	two	CARDINAL
ejpam-6811	245	9	φ ∈ φ	ORG
ejpam-6811	245	10	∈	ORG
ejpam-6811	246	1	ψ(sx	ORG
ejpam-6811	246	2	sy)φ(db(sx	ORG
ejpam-6811	246	3	6=	DATE
ejpam-6811	247	1	16	CARDINAL
ejpam-6811	248	1	2	CARDINAL
ejpam-6811	249	1	⊆	CARDINAL
ejpam-6811	249	2	|x− y|2	DATE
ejpam-6811	249	3	d′b(x	ORG
ejpam-6811	249	4	1	CARDINAL
ejpam-6811	253	1	0	CARDINAL
ejpam-6811	253	2	1	CARDINAL
ejpam-6811	254	1	d. e. shehwar sagheer et al	PERSON
ejpam-6811	255	1	j. pure	PERSON
ejpam-6811	255	2	18	CARDINAL
ejpam-6811	255	3	4	CARDINAL
ejpam-6811	255	4	2025	CARDINAL
ejpam-6811	255	5	6811 12	DATE
ejpam-6811	255	6	24	DATE
ejpam-6811	255	7	two	CARDINAL
ejpam-6811	255	8	tx	ORG
ejpam-6811	257	1	sx	ORG
ejpam-6811	257	2	tx	ORG
ejpam-6811	259	1	0	CARDINAL
ejpam-6811	259	2	1	CARDINAL
ejpam-6811	260	1	tx	ORG
ejpam-6811	262	1	1 + y2 4	QUANTITY
ejpam-6811	263	1	tx	ORG
ejpam-6811	265	1	4	CARDINAL
ejpam-6811	265	2	0	CARDINAL
ejpam-6811	265	3	1	CARDINAL
ejpam-6811	265	4		ORG
ejpam-6811	265	5	2+ √ |x−y| 2	DATE
ejpam-6811	265	6	1 0	DATE
ejpam-6811	265	7	∈	ORG
ejpam-6811	266	1	0	CARDINAL
ejpam-6811	266	2	1	CARDINAL
ejpam-6811	269	1	2 4	CARDINAL
ejpam-6811	270	1	2 4	CARDINAL
ejpam-6811	270	2	2+ y2 2	QUANTITY
ejpam-6811	270	3	4	CARDINAL
ejpam-6811	270	4	4	CARDINAL
ejpam-6811	270	5	2 + y2 2	QUANTITY
ejpam-6811	270	6	2	CARDINAL
ejpam-6811	270	7	4	CARDINAL
ejpam-6811	270	8	4 ≤	MONEY
ejpam-6811	270	9	2	CARDINAL
ejpam-6811	270	10	2	CARDINAL
ejpam-6811	270	11	4	CARDINAL
ejpam-6811	271	1	+ 1 2	DATE
ejpam-6811	271	2	4	CARDINAL
ejpam-6811	276	1	4	CARDINAL
ejpam-6811	276	2	sy)φ(db(sx	ORG
ejpam-6811	279	1	n0 ∈ n	ORG
ejpam-6811	279	2	k ≥ n0	ORG
ejpam-6811	280	1	d. e. shehwar sagheer et al	PERSON
ejpam-6811	281	1	j. pure	PERSON
ejpam-6811	281	2	18	CARDINAL
ejpam-6811	281	3	4	CARDINAL
ejpam-6811	281	4	2025	CARDINAL
ejpam-6811	281	5	6811 13	DATE
ejpam-6811	281	6	24	CARDINAL
ejpam-6811	281	7	d′b(txn	PERSON
ejpam-6811	285	1	2 4	DATE
ejpam-6811	286	1	2 4	DATE
ejpam-6811	286	2	2 4	DATE
ejpam-6811	287	1	2 4	DATE
ejpam-6811	287	2	2	CARDINAL
ejpam-6811	288	1	2 +	DATE
ejpam-6811	288	2	2	CARDINAL
ejpam-6811	288	3	4	CARDINAL
ejpam-6811	288	4	2 +	DATE
ejpam-6811	288	5	2 2	CARDINAL
ejpam-6811	288	6	2 1 +	DATE
ejpam-6811	288	7	4	CARDINAL
ejpam-6811	289	1	2 +	DATE
ejpam-6811	289	2	2 2 ∣∣∣∣	QUANTITY
ejpam-6811	290	1	2	CARDINAL
ejpam-6811	290	2	2	CARDINAL
ejpam-6811	290	3	2	CARDINAL
ejpam-6811	291	1	lim n→∞	PERSON
ejpam-6811	292	1	n→∞	CARDINAL
ejpam-6811	293	1	4	CARDINAL
ejpam-6811	296	1	2 4	DATE
ejpam-6811	296	2	2	CARDINAL
ejpam-6811	296	3	4 4	DATE
ejpam-6811	296	4	0.	PERCENT
ejpam-6811	297	1	0	CARDINAL
ejpam-6811	297	2	6=	DATE
ejpam-6811	297	3	6=	DATE
ejpam-6811	299	1	γ ∈	ORG
ejpam-6811	299	2	1	CARDINAL
ejpam-6811	299	3	n ≥ 2	ORG
ejpam-6811	299	4	q(x	PERSON
ejpam-6811	300	1	the γ order caputo	ORG
ejpam-6811	301	1	d. e. shehwar sagheer et al	PERSON
ejpam-6811	302	1	j. pure	PERSON
ejpam-6811	302	2	18	CARDINAL
ejpam-6811	302	3	4	CARDINAL
ejpam-6811	302	4	2025	CARDINAL
ejpam-6811	302	5	6811 14 of 24	DATE
ejpam-6811	302	6	riemann-liouville	ORG
ejpam-6811	308	1	i0	ORG
ejpam-6811	311	1	0	CARDINAL
ejpam-6811	311	2	1	CARDINAL
ejpam-6811	311	3	γ ∈	ORG
ejpam-6811	311	4	1	CARDINAL
ejpam-6811	311	5	17	CARDINAL
ejpam-6811	313	1	1	CARDINAL
ejpam-6811	313	2	18	CARDINAL
ejpam-6811	315	1	0	CARDINAL
ejpam-6811	315	2	1]×	CARDINAL
ejpam-6811	315	3	η ∈	ORG
ejpam-6811	316	1	0	CARDINAL
ejpam-6811	316	2	1	CARDINAL
ejpam-6811	317	1	1	CARDINAL
ejpam-6811	317	2	2 +	DATE
ejpam-6811	321	1	4.3	CARDINAL
ejpam-6811	322	1	0 y(x	PERSON
ejpam-6811	326	1	+ 1	DATE
ejpam-6811	326	2	1 0	DATE
ejpam-6811	326	3	1−	ORDINAL
ejpam-6811	329	1	1 0	DATE
ejpam-6811	329	2	1−	ORDINAL
ejpam-6811	331	1	0	CARDINAL
ejpam-6811	333	1	1 0	DATE
ejpam-6811	333	2	1−	ORDINAL
ejpam-6811	337	1	1 0	DATE
ejpam-6811	337	2	1−	ORDINAL
ejpam-6811	338	1	dϑdξ −	PERSON
ejpam-6811	339	1	1 0	DATE
ejpam-6811	339	2	1−	ORDINAL
ejpam-6811	341	1	y(x	GPE
ejpam-6811	343	1	1 0	DATE
ejpam-6811	343	2	1−	ORDINAL
ejpam-6811	346	1	d. e. shehwar sagheer et al	PERSON
ejpam-6811	347	1	j. pure	PERSON
ejpam-6811	347	2	18	CARDINAL
ejpam-6811	347	3	4	CARDINAL
ejpam-6811	347	4	2025	CARDINAL
ejpam-6811	347	5	6811 15	DATE
ejpam-6811	347	6	1	CARDINAL
ejpam-6811	347	7	1	CARDINAL
ejpam-6811	349	1	1 0	DATE
ejpam-6811	349	2	1−	ORDINAL
ejpam-6811	353	1	1	CARDINAL
ejpam-6811	356	1	2	CARDINAL
ejpam-6811	358	1	i.	PERSON
ejpam-6811	358	2	∈	ORG
ejpam-6811	358	3	1	CARDINAL
ejpam-6811	360	1	t	PERSON
ejpam-6811	360	2	1	CARDINAL
ejpam-6811	361	1	1	CARDINAL
ejpam-6811	361	2	∈	ORG
ejpam-6811	362	1	∃ φ ∈ φ	PERSON
ejpam-6811	362	2	φ(r	GPE
ejpam-6811	362	3	∈	ORG
ejpam-6811	362	4	0	CARDINAL
ejpam-6811	362	5	1	CARDINAL
ejpam-6811	362	6	q(x	PERSON
ejpam-6811	363	1	r(x	PERSON
ejpam-6811	364	1	∣∣∣ ≤ k1φ	MONEY
ejpam-6811	364	2	19	CARDINAL
ejpam-6811	364	3	q(x	PERSON
ejpam-6811	365	1	r(x	PERSON
ejpam-6811	365	2	20	CARDINAL
ejpam-6811	365	3	ηn)γ(γ + 2	PRODUCT
ejpam-6811	365	4	2γ	CARDINAL
ejpam-6811	367	1	+ 1	DATE
ejpam-6811	367	2	+ 2γ	CARDINAL
ejpam-6811	368	1	− 1)n	ORG
ejpam-6811	369	1	2 ≤	QUANTITY
ejpam-6811	370	1	vi	PERSON
ejpam-6811	371	1	dϑdξ √∫ η 0	PERSON
ejpam-6811	372	1	1	CARDINAL
ejpam-6811	372	2	d. e. shehwar sagheer et al	PERSON
ejpam-6811	373	1	j. pure	PERSON
ejpam-6811	373	2	18	CARDINAL
ejpam-6811	373	3	4	CARDINAL
ejpam-6811	373	4	2025	CARDINAL
ejpam-6811	373	5	6811 16	DATE
ejpam-6811	373	6	1 0	TIME
ejpam-6811	374	1	1− ξ |2(γ−1	TIME
ejpam-6811	375	1	q(ξ	GPE
ejpam-6811	376	1	r(ξ	PERSON
ejpam-6811	377	1	0 ∣∣∣υ(ξ	DATE
ejpam-6811	377	2	q(ξ	GPE
ejpam-6811	378	1	r(ξ	PERSON
ejpam-6811	378	2	≥ 1	DATE
ejpam-6811	380	1	4	CARDINAL
ejpam-6811	380	2	e(ḡ	DATE
ejpam-6811	382	1	∈	ORG
ejpam-6811	382	2	1	CARDINAL
ejpam-6811	383	1	4.2	CARDINAL
ejpam-6811	383	2	4.3	CARDINAL
ejpam-6811	385	1	1	CARDINAL
ejpam-6811	386	1	ḡ.	GPE
ejpam-6811	386	2	1	CARDINAL
ejpam-6811	387	1	ḡ	GPE
ejpam-6811	387	2	i.	PERSON
ejpam-6811	388	1	consider∣∣∣t(q(x	GPE
ejpam-6811	389	1	r(x	WORK_OF_ART
ejpam-6811	390	1	nxn−1	ORG
ejpam-6811	392	1	1 0	DATE
ejpam-6811	392	2	1−	ORDINAL
ejpam-6811	395	1	q(ξ	GPE
ejpam-6811	396	1	r(ξ	PERSON
ejpam-6811	396	2	2	CARDINAL
ejpam-6811	397	1	gives∣∣∣t(q(x	ORG
ejpam-6811	398	1	r(x	WORK_OF_ART
ejpam-6811	402	1	∣∣∣ dϑdξ]2 +	MONEY
ejpam-6811	403	1	1 0	TIME
ejpam-6811	404	1	1−	TIME
ejpam-6811	404	2	∣∣∣υ(ξ	DATE
ejpam-6811	404	3	q(ξ	GPE
ejpam-6811	405	1	r(ξ	PERSON
ejpam-6811	405	2	∣∣∣	CARDINAL
ejpam-6811	407	1	+ 1	DATE
ejpam-6811	409	1	∣∣∣υ(ξ	DATE
ejpam-6811	409	2	q(ξ	GPE
ejpam-6811	410	1	r(ξ	PERSON
ejpam-6811	410	2	∣∣∣	CARDINAL
ejpam-6811	415	1	∣∣∣	CARDINAL
ejpam-6811	415	2	1 0	TIME
ejpam-6811	416	1	1−	TIME
ejpam-6811	416	2	∣∣∣υ(ξ	DATE
ejpam-6811	416	3	q(ξ	GPE
ejpam-6811	417	1	r(ξ	PERSON
ejpam-6811	418	1	d. e.	PERSON
ejpam-6811	419	1	sagheer et al	PERSON
ejpam-6811	420	1	j. pure	PERSON
ejpam-6811	420	2	18	CARDINAL
ejpam-6811	420	3	4	CARDINAL
ejpam-6811	420	4	2025	CARDINAL
ejpam-6811	420	5	6811 17	DATE
ejpam-6811	425	1	∣∣∣υ(ξ	DATE
ejpam-6811	425	2	q(ξ	GPE
ejpam-6811	426	1	r(ξ	PERSON
ejpam-6811	428	1	1 0	TIME
ejpam-6811	429	1	1−	TIME
ejpam-6811	429	2	∣∣∣υ(ξ	DATE
ejpam-6811	429	3	q(ξ	GPE
ejpam-6811	430	1	r(ξ	PERSON
ejpam-6811	431	1	∣∣∣ dξ][∫	MONEY
ejpam-6811	431	2	∣∣∣υ(ξ	DATE
ejpam-6811	431	3	q(ξ	GPE
ejpam-6811	432	1	r(ξ	PERSON
ejpam-6811	438	1	less than 1	CARDINAL
ejpam-6811	439	1	2 ≤	CARDINAL
ejpam-6811	442	1	first	ORDINAL
ejpam-6811	442	2	3	CARDINAL
ejpam-6811	442	3	get∣∣∣t(q(x	PERSON
ejpam-6811	443	1	r(x	WORK_OF_ART
ejpam-6811	445	1	dϑdξ ∫ η 0	ORG
ejpam-6811	447	1	n− ηn)2γ2(γ	ORG
ejpam-6811	448	1	1 0	TIME
ejpam-6811	449	1	1− ξ |2(γ−1	TIME
ejpam-6811	450	1	1	CARDINAL
ejpam-6811	450	2	q(ξ	GPE
ejpam-6811	451	1	r(ξ	PERSON
ejpam-6811	452	1	+ 1	DATE
ejpam-6811	454	1	0 ∣∣∣υ(ξ	DATE
ejpam-6811	454	2	q(ξ	GPE
ejpam-6811	455	1	r(ξ	PERSON
ejpam-6811	455	2	+ 2n2x2(n−1	PERCENT
ejpam-6811	459	1	∣∣∣	CARDINAL
ejpam-6811	459	2	1 0	TIME
ejpam-6811	460	1	1−	TIME
ejpam-6811	460	2	∣∣∣υ(ξ	DATE
ejpam-6811	460	3	q(ξ	GPE
ejpam-6811	461	1	r(ξ	PERSON
ejpam-6811	467	1	∣∣∣υ(ξ	DATE
ejpam-6811	467	2	q(ξ	GPE
ejpam-6811	468	1	r(ξ	PERSON
ejpam-6811	470	1	1 0	TIME
ejpam-6811	471	1	1−	TIME
ejpam-6811	471	2	∣∣∣υ(ξ	DATE
ejpam-6811	471	3	q(ξ	GPE
ejpam-6811	472	1	r(ξ	PERSON
ejpam-6811	473	1	∣∣∣ dξ][∫	MONEY
ejpam-6811	473	2	∣∣∣υ(ξ	DATE
ejpam-6811	473	3	q(ξ	GPE
ejpam-6811	474	1	r(ξ	PERSON
ejpam-6811	476	1	d. e. shehwar sagheer et al	PERSON
ejpam-6811	477	1	j. pure	PERSON
ejpam-6811	477	2	18	CARDINAL
ejpam-6811	477	3	4	CARDINAL
ejpam-6811	477	4	2025	CARDINAL
ejpam-6811	477	5	6811 18	DATE
ejpam-6811	477	6	24	CARDINAL
ejpam-6811	477	7	4.4	CARDINAL
ejpam-6811	477	8	4.5	CARDINAL
ejpam-6811	478	1	∣∣∣t(q(x	PERSON
ejpam-6811	479	1	r(x	WORK_OF_ART
ejpam-6811	481	1	dϑdξ ∫ η 0	ORG
ejpam-6811	481	2	0 k2φ	QUANTITY
ejpam-6811	482	1	n− ηn)2γ2(γ	ORG
ejpam-6811	483	1	1 0	TIME
ejpam-6811	484	1	1− ξ |2(γ−1	TIME
ejpam-6811	487	1	+ 1	DATE
ejpam-6811	491	1	+ 2n2x2(n−1	PERCENT
ejpam-6811	494	1	k1φ	PERSON
ejpam-6811	495	1	1 0	TIME
ejpam-6811	496	1	1−	TIME
ejpam-6811	496	2	k1φ	PERSON
ejpam-6811	500	1	k1φ	PERSON
ejpam-6811	502	1	k1φ	PERSON
ejpam-6811	504	1	1 0	TIME
ejpam-6811	505	1	1−	TIME
ejpam-6811	505	2	k1φ	PERSON
ejpam-6811	507	1	k1φ	PERSON
ejpam-6811	508	1	0	CARDINAL
ejpam-6811	508	2	1	CARDINAL
ejpam-6811	508	3	∣∣∣t(q(x	PERSON
ejpam-6811	509	1	r(x	WORK_OF_ART
ejpam-6811	512	1	dϑdξ ∫ η 0	ORG
ejpam-6811	512	2	0 k2φ	QUANTITY
ejpam-6811	513	1	n− ηn)2γ2(γ	ORG
ejpam-6811	514	1	1 0	TIME
ejpam-6811	515	1	1− ξ |2(γ−1	TIME
ejpam-6811	518	1	+ 1	DATE
ejpam-6811	522	1	+ 2n2	CARDINAL
ejpam-6811	525	1	k1φ	PERSON
ejpam-6811	526	1	1 0	TIME
ejpam-6811	527	1	1−	TIME
ejpam-6811	527	2	k1φ	PERSON
ejpam-6811	531	1	k1φ	PERSON
ejpam-6811	533	1	k1φ	PERSON
ejpam-6811	535	1	1 0	TIME
ejpam-6811	536	1	1−	TIME
ejpam-6811	536	2	k1φ	PERSON
ejpam-6811	538	1	k1φ	PERSON
ejpam-6811	543	1	1 0	TIME
ejpam-6811	544	1	1− ξ |2(γ−1	TIME
ejpam-6811	545	1	d. e.	PERSON
ejpam-6811	546	1	sagheer et al	PERSON
ejpam-6811	547	1	j. pure	PERSON
ejpam-6811	547	2	18	CARDINAL
ejpam-6811	547	3	4	CARDINAL
ejpam-6811	547	4	2025	CARDINAL
ejpam-6811	547	5	6811 19	DATE
ejpam-6811	554	1	1 0	TIME
ejpam-6811	555	1	1−	TIME
ejpam-6811	562	1	1 0	TIME
ejpam-6811	563	1	1−	CARDINAL
ejpam-6811	564	1	2	CARDINAL
ejpam-6811	569	1	1 0	TIME
ejpam-6811	570	1	1− ξ |2(γ−1	TIME
ejpam-6811	578	1	1 0	TIME
ejpam-6811	579	1	1−	TIME
ejpam-6811	586	1	1 0	TIME
ejpam-6811	587	1	1−	CARDINAL
ejpam-6811	589	1	2n2	CARDINAL
ejpam-6811	592	1	1 0	TIME
ejpam-6811	593	1	1− ξ |2(γ−1	TIME
ejpam-6811	601	1	1 0	TIME
ejpam-6811	602	1	1−	TIME
ejpam-6811	609	1	1 0	TIME
ejpam-6811	610	1	1−	CARDINAL
ejpam-6811	612	1	2n2	CARDINAL
ejpam-6811	613	1	2γ(2γ	CARDINAL
ejpam-6811	613	2	1	CARDINAL
ejpam-6811	613	3	1	CARDINAL
ejpam-6811	615	1	+ 1	DATE
ejpam-6811	615	2	nγ2(γ + 1	PRODUCT
ejpam-6811	617	1	∣∣∣t(q(x	ORG
ejpam-6811	618	1	r(x	WORK_OF_ART
ejpam-6811	618	2	−r||∗∞	ORG
ejpam-6811	619	1	d. e. shehwar sagheer et al	PERSON
ejpam-6811	620	1	j. pure	PERSON
ejpam-6811	620	2	18	CARDINAL
ejpam-6811	620	3	4	CARDINAL
ejpam-6811	620	4	2025	CARDINAL
ejpam-6811	620	5	6811 20	DATE
ejpam-6811	620	6	24	CARDINAL
ejpam-6811	620	7	db(q	PERSON
ejpam-6811	621	1	1]×	CARDINAL
ejpam-6811	621	2	1	CARDINAL
ejpam-6811	621	3	0	CARDINAL
ejpam-6811	621	4	1	CARDINAL
ejpam-6811	623	1	6=	CARDINAL
ejpam-6811	623	2	0	DATE
ejpam-6811	623	3	3.5	CARDINAL
ejpam-6811	623	4	1	CARDINAL
ejpam-6811	625	1	+ 2) 2ηγ+1	DATE
ejpam-6811	627	1	η ∈	PERSON
ejpam-6811	627	2	0	CARDINAL
ejpam-6811	627	3	1	CARDINAL
ejpam-6811	627	4	1	CARDINAL
ejpam-6811	628	1	+ 2	DATE
ejpam-6811	628	2	5 + 3γ	CARDINAL
ejpam-6811	629	1	2γ	CARDINAL
ejpam-6811	629	2	2	CARDINAL
ejpam-6811	630	1	1)(γ + 2 + 2γ+2	DATE
ejpam-6811	632	1	2	CARDINAL
ejpam-6811	633	1	1	CARDINAL
ejpam-6811	634	1	the graph ḡ	ORG
ejpam-6811	636	1	0	CARDINAL
ejpam-6811	636	2	1	CARDINAL
ejpam-6811	637	1	i.	PERSON
ejpam-6811	638	1	φ ∈ φ	ORG
ejpam-6811	638	2	φ(r	GPE
ejpam-6811	638	3	∈	ORG
ejpam-6811	638	4	0	CARDINAL
ejpam-6811	638	5	1	CARDINAL
ejpam-6811	638	6	3	CARDINAL
ejpam-6811	638	7	∈	ORG
ejpam-6811	638	8	1	CARDINAL
ejpam-6811	640	1	0	CARDINAL
ejpam-6811	640	2	1	CARDINAL
ejpam-6811	640	3	∣∣υ(x	ORG
ejpam-6811	640	4	q(x	PERSON
ejpam-6811	641	1	r(x	PERSON
ejpam-6811	642	1	+ 2	DATE
ejpam-6811	642	2	5 + 3γ	CARDINAL
ejpam-6811	642	3	q(x	PERSON
ejpam-6811	644	1	r(x	PERSON
ejpam-6811	644	2	2γ	CARDINAL
ejpam-6811	644	3	2	CARDINAL
ejpam-6811	645	1	1)(γ + 2 + 2γ+2	DATE
ejpam-6811	647	1	∈	ORG
ejpam-6811	647	2	1	CARDINAL
ejpam-6811	648	1	d. e. shehwar sagheer et al	PERSON
ejpam-6811	649	1	j. pure	PERSON
ejpam-6811	649	2	18	CARDINAL
ejpam-6811	649	3	4	CARDINAL
ejpam-6811	649	4	2025	CARDINAL
ejpam-6811	649	5	6811 21	DATE
ejpam-6811	649	6	24 iii	QUANTITY
ejpam-6811	650	1	∈	ORG
ejpam-6811	650	2	1	CARDINAL
ejpam-6811	650	3	0ε	CARDINAL
ejpam-6811	650	4	tq(x),tr(x	NORP
ejpam-6811	652	1	1	CARDINAL
ejpam-6811	652	2	∈	ORG
ejpam-6811	652	3	1	CARDINAL
ejpam-6811	653	1	n ∈ n ⇒	PRODUCT
ejpam-6811	654	1	1	CARDINAL
ejpam-6811	655	1	ε ( r(x),w(x	ORG
ejpam-6811	656	1	0	CARDINAL
ejpam-6811	656	2	0	CARDINAL
ejpam-6811	659	1	0	CARDINAL
ejpam-6811	659	2	1	CARDINAL
ejpam-6811	659	3	γ ∈	ORG
ejpam-6811	659	4	1	CARDINAL
ejpam-6811	659	5	2	CARDINAL
ejpam-6811	659	6	η ∈	ORG
ejpam-6811	660	1	0	CARDINAL
ejpam-6811	660	2	1	CARDINAL
ejpam-6811	660	3	∈	PRODUCT
ejpam-6811	660	4	1	CARDINAL
ejpam-6811	661	1	1	CARDINAL
ejpam-6811	661	2	1	CARDINAL
ejpam-6811	663	1	0	CARDINAL
ejpam-6811	663	2	1	CARDINAL
ejpam-6811	664	1	∈	ORG
ejpam-6811	664	2	1	CARDINAL
ejpam-6811	664	3	∃ φ ∈ φ	ORG
ejpam-6811	664	4	φ(r	GPE
ejpam-6811	664	5	∈	ORG
ejpam-6811	664	6	0	CARDINAL
ejpam-6811	664	7	1	CARDINAL
ejpam-6811	664	8	3∣∣υ(x	CARDINAL
ejpam-6811	664	9	q(x	PERSON
ejpam-6811	665	1	r(x	PERSON
ejpam-6811	666	1	∣∣υ(x	ORG
ejpam-6811	666	2	q(x	PERSON
ejpam-6811	668	1	r(x	PERSON
ejpam-6811	668	2	ηn)γ(γ + 2	PRODUCT
ejpam-6811	669	1	2γ	CARDINAL
ejpam-6811	671	1	+ 1	DATE
ejpam-6811	671	2	+ 2γ	CARDINAL
ejpam-6811	672	1	− 1)n	ORG
ejpam-6811	675	1	3	CARDINAL
ejpam-6811	676	1	e(ḡ	DATE
ejpam-6811	677	1	∈	PRODUCT
ejpam-6811	677	2	1	CARDINAL
ejpam-6811	678	1	d. e. shehwar sagheer et al	PERSON
ejpam-6811	679	1	j. pure	PERSON
ejpam-6811	679	2	18	CARDINAL
ejpam-6811	679	3	4	CARDINAL
ejpam-6811	679	4	2025	CARDINAL
ejpam-6811	679	5	6811 22	DATE
ejpam-6811	679	6	24 5	DATE
ejpam-6811	679	7	•	CARDINAL
ejpam-6811	679	8	− φ	ORG
ejpam-6811	681	1	two	CARDINAL
ejpam-6811	685	1	al-zaytoonah university	ORG
ejpam-6811	688	1	1	CARDINAL
ejpam-6811	688	2	haitham qawaqneh	PERSON
ejpam-6811	688	3	hasanen	ORG
ejpam-6811	688	4	hammad	PERSON
ejpam-6811	690	1	2024	DATE
ejpam-6811	691	1	2	CARDINAL
ejpam-6811	691	2	muhammad nazam	PERSON
ejpam-6811	691	3	mohd salmi noorani	PERSON
ejpam-6811	691	4	haitham qawaqneh	PERSON
ejpam-6811	692	1	four	CARDINAL
ejpam-6811	693	1	2019(1):5980312, 2019	DATE
ejpam-6811	694	1	3	CARDINAL
ejpam-6811	695	1	sur les operations dans les	ORG
ejpam-6811	696	1	fundamenta mathematicae	PERSON
ejpam-6811	696	2	3(1):133–181, 1922	DATE
ejpam-6811	697	1	4	CARDINAL
ejpam-6811	697	2	stefan czerwik	PERSON
ejpam-6811	699	1	acta mathematica	PERSON
ejpam-6811	699	2	informatica universitatis ostraviensis	ORG
ejpam-6811	699	3	1(1):5–11, 1993	DATE
ejpam-6811	700	1	5	CARDINAL
ejpam-6811	700	2	bakhtin	ORG
ejpam-6811	702	1	30:26–37	CARDINAL
ejpam-6811	702	2	1989	DATE
ejpam-6811	703	1	6	CARDINAL
ejpam-6811	703	2	erdal karapinar	PERSON
ejpam-6811	705	1	east asian	NORP
ejpam-6811	706	1	32(3):319–332	DATE
ejpam-6811	706	2	2016	DATE
ejpam-6811	707	1	d. e. shehwar sagheer et al	PERSON
ejpam-6811	708	1	j. pure	PERSON
ejpam-6811	708	2	18	CARDINAL
ejpam-6811	708	3	4	CARDINAL
ejpam-6811	708	4	2025	CARDINAL
ejpam-6811	708	5	6811 23	DATE
ejpam-6811	708	6	7	CARDINAL
ejpam-6811	708	7	monica-felicia bota	PERSON
ejpam-6811	708	8	erdal karapinar	PERSON
ejpam-6811	710	1	2012(1):88	DATE
ejpam-6811	710	2	2012	DATE
ejpam-6811	711	1	8	CARDINAL
ejpam-6811	711	2	thounaojam stephen	PERSON
ejpam-6811	711	3	yumnam	DATE
ejpam-6811	711	4	singh	GPE
ejpam-6811	711	5	konthoujam sangita devi	PERSON
ejpam-6811	713	1	309–322	CARDINAL
ejpam-6811	713	2	2022	CARDINAL
ejpam-6811	714	1	9	CARDINAL
ejpam-6811	714	2	mudasir younis	PERSON
ejpam-6811	714	3	deepak singh	PERSON
ejpam-6811	714	4	ishak altun	PERSON
ejpam-6811	714	5	varsha chauhan	ORG
ejpam-6811	715	1	nonlinear sciences	ORG
ejpam-6811	715	2	23(7-8):1239–1252	DATE
ejpam-6811	715	3	2022	CARDINAL
ejpam-6811	716	1	10	CARDINAL
ejpam-6811	716	2	haitham qawaqneh	PERSON
ejpam-6811	716	3	mohd salmi	PERSON
ejpam-6811	716	4	md noorani	PERSON
ejpam-6811	716	5	amjed zraiqat	PERSON
ejpam-6811	716	6	arslan hojat	PERSON
ejpam-6811	716	7	ansari	PERSON
ejpam-6811	718	1	2021(1):8769190	CARDINAL
ejpam-6811	718	2	2021	DATE
ejpam-6811	719	1	11	CARDINAL
ejpam-6811	719	2	haitham qawaqneh	PERSON
ejpam-6811	719	3	mohd salmi	PERSON
ejpam-6811	719	4	md noorani	PERSON
ejpam-6811	721	1	8(3):6682–6696	DATE
ejpam-6811	721	2	2023	CARDINAL
ejpam-6811	722	1	12	CARDINAL
ejpam-6811	722	2	faisar mehmood	PERSON
ejpam-6811	722	3	azhar hussain	PERSON
ejpam-6811	722	4	aiman mukheimer	PERSON
ejpam-6811	724	1	7(4):5925–5942	DATE
ejpam-6811	724	2	2022	CARDINAL
ejpam-6811	725	1	13	CARDINAL
ejpam-6811	725	2	muhammad anwar	PERSON
ejpam-6811	725	3	dur-e	PERSON
ejpam-6811	725	4	rashid ali	PERSON
ejpam-6811	727	1	thai journal of mathematics	ORG
ejpam-6811	727	2	20(2):945–956	PERSON
ejpam-6811	727	3	2022	CARDINAL
ejpam-6811	728	1	14	CARDINAL
ejpam-6811	728	2	erdal karapinar	PERSON
ejpam-6811	728	3	cristian chifu.	PERSON
ejpam-6811	730	1	8(2):220, 2020	DATE
ejpam-6811	731	1	15	CARDINAL
ejpam-6811	731	2	kanan t.	PERSON
ejpam-6811	731	3	m. alia	PERSON
ejpam-6811	731	4	ziad m. covd-19	PERSON
ejpam-6811	732	1	14(1	CARDINAL
ejpam-6811	732	2	2022	CARDINAL
ejpam-6811	733	1	16	CARDINAL
ejpam-6811	733	2	haitham qawaqneh	PERSON
ejpam-6811	735	1	indian	NORP
ejpam-6811	735	2	2024	DATE
ejpam-6811	736	1	17	CARDINAL
ejpam-6811	738	1	canadian	NORP
ejpam-6811	738	2	59(1):3–12	CARDINAL
ejpam-6811	738	3	2016	DATE
ejpam-6811	739	1	18	CARDINAL
ejpam-6811	739	2	asma rashid	PERSON
ejpam-6811	739	3	slobodan radojevic	PERSON
ejpam-6811	741	1	60(5):1214–1219	CARDINAL
ejpam-6811	741	2	2010	DATE
ejpam-6811	742	1	19	CARDINAL
ejpam-6811	743	1	reich	PERSON
ejpam-6811	744	1	2012	DATE
ejpam-6811	745	1	20	CARDINAL
ejpam-6811	745	2	mudasir younis	PERSON
ejpam-6811	745	3	dhirendra bahuguna	PERSON
ejpam-6811	747	1	2023	CARDINAL
ejpam-6811	748	1	21	CARDINAL
ejpam-6811	748	2	haitham qawaqneh	PERSON
ejpam-6811	748	3	mohd salmi noorani	PERSON
ejpam-6811	748	4	wasfi shatanawi	GPE
ejpam-6811	750	1	7(11):1082	CARDINAL
ejpam-6811	750	2	2019	DATE
ejpam-6811	751	1	d. e. shehwar sagheer et al	PERSON
ejpam-6811	752	1	j. pure	PERSON
ejpam-6811	752	2	18	CARDINAL
ejpam-6811	752	3	4	CARDINAL
ejpam-6811	752	4	2025	CARDINAL
ejpam-6811	752	5	6811 24	DATE
ejpam-6811	752	6	24	CARDINAL
ejpam-6811	752	7	22	CARDINAL
ejpam-6811	752	8	erdal karapinar	PERSON
ejpam-6811	752	9	thabet abdeljawad	PERSON
ejpam-6811	752	10	fahd jarad	PERSON
ejpam-6811	754	1	2019(1):1–25	CARDINAL
ejpam-6811	754	2	2019	DATE
ejpam-6811	755	1	23	CARDINAL
ejpam-6811	755	2	ben wongsaijai	PERSON
ejpam-6811	757	1	2021(1):503	CARDINAL
ejpam-6811	757	2	2021	DATE
ejpam-6811	758	1	24	CARDINAL
ejpam-6811	758	2	adiguzel	PERSON
ejpam-6811	758	3	erdal karapinar	PERSON
ejpam-6811	760	1	2024	DATE
ejpam-6811	761	1	25	CARDINAL
ejpam-6811	761	2	adiguzel	PERSON
ejpam-6811	761	3	erdal karapinar	PERSON
ejpam-6811	762	1	geraghty	ORG
ejpam-6811	762	2	2021	CARDINAL
ejpam-6811	763	1	26	CARDINAL
ejpam-6811	763	2	duha abu judeh	PERSON
ejpam-6811	763	3	abu hammad	PERSON
ejpam-6811	766	1	j. advance soft compu	PERSON
ejpam-6811	767	1	14(2):115–124	DATE
ejpam-6811	767	2	2022	CARDINAL
ejpam-6811	768	1	27	CARDINAL
ejpam-6811	768	2	william kirk	PERSON
ejpam-6811	768	3	naseer shahzad	PERSON
ejpam-6811	769	1	1	CARDINAL
ejpam-6811	769	2	2014	DATE
ejpam-6811	770	1	28	CARDINAL
ejpam-6811	770	2	w atiponrat	PERSON
ejpam-6811	771	1	geraghty	ORG
ejpam-6811	771	2	two	CARDINAL
ejpam-6811	772	1	2017(1):5746704	CARDINAL
ejpam-6811	772	2	2017	DATE
ejpam-6811	773	1	29	CARDINAL
ejpam-6811	773	2	donal o′regan	PERSON
ejpam-6811	774	1	two	CARDINAL
ejpam-6811	775	1	248(2):402–414	CARDINAL
ejpam-6811	775	2	2000	DATE
ejpam-6811	776	1	30	CARDINAL
ejpam-6811	776	2	asadollah aghajani	PERSON
ejpam-6811	776	3	mujahid abbas	PERSON
ejpam-6811	776	4	jamal roshan	PERSON
ejpam-6811	777	1	mathematica slovaca	PERSON
ejpam-6811	777	2	64(4):941–960, 2014	DATE