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 42 条

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[9] Analytical properties of (k, s)-Riemann-Liouville fractional integral and its fractal dimension
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[10] GENERAL ((k, p ) , ψ)-HILFER FRACTIONAL INTEGRALS
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