A basic study of a fractional integral operator with extended Mittag-Leffler kernel

被引：1
|
作者：
Rahman, Gauhar [1 ]
Suwan, Iyad [2 ]
Nisar, Kottakkaran Sooppy [3 ]
Abdeljawad, Thabet [4 ,5 ]
Samraiz, Muhammad [6 ]
Ali, Asad [1 ]
机构：
[1] Hazara Univ, Dept Math & Stat, Mansehra, Pakistan
[2] Arab Amer Univ, Dept Math & Stat, POB 240, Zababdeh 13, Jenin, Palestine
[3] Prince Sattam bin Abdulaziz Univ, Coll Arts & Sci, Dept Math, Wadi Aldawser 11991, Saudi Arabia
[4] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia
[5] China Med Univ, Dept Med Res, Taichung 40402, Taiwan
[6] Univ Sargodha, Samraiz Dept Math, POB 40100, Sargodha, Pakistan
来源：
AIMS MATHEMATICS | 2021年 / 6卷 / 11期
关键词：
Mittag-Leffler function; fractional integral; Prabhakar fractional integral; POCHHAMMER SYMBOL; INEQUALITIES; DERIVATIVES; EQUATIONS; PRODUCT;
D O I：
10.3934/math.2021736
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this present paper, the basic properties of an extended Mittag-Leffler function are studied. We present some fractional integral and differential formulas of an extended Mittag-Leffler function. In addition, we introduce a new extension of Prabhakar type fractional integrals with an extended Mittag-Leffler function in the kernel. Also, we present certain basic properties of the generalized Prabhakar type fractional integrals.
引用
收藏
页码：12757 / 12770
页数：14
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