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.
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页码：2579 / 2586
页数：8
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