Fractional calculus operators with Appell function kernels applied to Srivastava polynomials and extended Mittag-Leffler function

被引：19

作者：

Nisar, Kottakkaran Sooppy ^{[1
]}

Suthar, D. L. ^{[2
]}

Agarwal, R. ^{[3
]}

Purohit, S. D. ^{[4
]}

机构：

[1] Prince Sattam Bin Abdulaziz Univ, Coll Arts & Sci, Dept Math, Wadi Aldawasir, Saudi Arabia

[2] Wollo Univ, Dept Math, Dessie, Amahara Region, Ethiopia

[3] Malaviya Natl Inst Technol, Dept Math, Jaipur, Rajasthan, India

[4] Rajasthan Tech Univ, Dept HEAS Math, Kota, India

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期

关键词：

Extended Mittag-Leffler function; Srivastava polynomial; Wright-type hypergeometric functions; Extended Wright-type hypergeometric functions; GENERAL-CLASS; INTEGRATION; PRODUCT;

D O I：

10.1186/s13662-020-02610-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article aims to establish certain image formulas associated with the fractional calculus operators with Appell function in the kernel and Caputo-type fractional differential operators involving Srivastava polynomials and extended Mittag-Leffler function. The main outcomes are presented in terms of the extended Wright function. In addition, along with the noted outcomes, the implications are also highlighted.

引用

页数：14

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