General (k, p)-Riemann-Liouville fractional integrals

被引：4

作者：

Benaissa, Bouharket ^{[1
]}

Budak, Huseyin ^{[2
]}

机构：

[1] Univ Tiaret, Fac Mat Sci, Lab Informat & Math, Tiaret, Algeria

[2] Duzce Univ, Dept Math, Fac Sci & Arts, TR-81620 Duzce, Turkiye

来源：

FILOMAT | 2024年 / 38卷 / 08期

关键词：

General; (k; p)-Riemann-Liouville; p)-gamma function; fractional integrals;

D O I：

10.2298/FIL2408579B

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main motivation of this study is to establish a general version of the Riemann-Liouville fractional integrals with two exponential parameters k and p which is determined over the (k, p)-gamma function. In particular, we present the harmonic, geometric and arithmetic (k, p)- Riemann-Liouville fractional integrals. When p = k, these integrals reduce to k-Riemann-Liouville fractional integrals. Some formulas relating to general (k, p)-Riemann-Liouville fraction integrals are also given.

引用

页码：2579 / 2586

页数：8

共 50 条

[1] Some boundedness results for Ψ-Riemann-Liouville and Ψ-Riemann-Liouville tempered fractional integrals in R
Ledesma, Cesar E. Torres
Rodriguez, Jesus A.
Zuniga, Felipe A.
ADVANCES IN OPERATOR THEORY, 2024, 9 (02)
[2] Generalizations of Riemann-Liouville fractional integrals and applications
Lan, Kunquan
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (16) : 12833 - 12870
[3] Liouville and Riemann-Liouville fractional derivatives via contour integrals
Tohru Morita
Ken-ichi Sato
Fractional Calculus and Applied Analysis, 2013, 16 : 630 - 653
[4] Liouville and Riemann-Liouville fractional derivatives via contour integrals
Morita, Tohru
Sato, Ken-ichi
FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2013, 16 (03) : 630 - 653
[5] Diffusive representation of Riemann-Liouville fractional integrals and derivatives
Guo, Yuxiang
Ma, Baoli
PROCEEDINGS OF THE 36TH CHINESE CONTROL CONFERENCE (CCC 2017), 2017, : 11335 - 11339
[6] Some inequalities via ψ-Riemann-Liouville fractional integrals
Mehreen, Naila
Anwar, Matloob
AIMS MATHEMATICS, 2019, 4 (05): : 1403 - 1415
[7] Numerical Approximations of the Riemann-Liouville and Riesz Fractional Integrals
Ciesielski, Mariusz
Grodzki, Grzegorz
INFORMATICA, 2024, 35 (01) : 21 - 46
[8] A Weighted Variant of Riemann-Liouville Fractional Integrals on Rn
Fu, Zun Wei
Lu, Shan Zhen
Yuan, Wen
ABSTRACT AND APPLIED ANALYSIS, 2012,
[9] Estimations of Riemann-Liouville k-fractional integrals via convex functions
Farid, Ghulam
ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA, 2019, 23 (01): : 71 - 78
[10] Rational approximations of Riemann-Liouville and Weyl fractional integrals
Starovoitov, AR
MATHEMATICAL NOTES, 2005, 78 (3-4) : 391 - 402

← 1 2 3 4 5 →