Beta Operator with Caputo Marichev-Saigo-Maeda Fractional Differential Operator of Extended Mittag-Leffler Function-Reference-Cited by-同舟云学术

Beta Operator with Caputo Marichev-Saigo-Maeda Fractional Differential Operator of Extended Mittag-Leffler Function

Published:2021-03-12 Issue: Volume:2021 Page:1-9
ISSN:1687-9139
Container-title:Advances in Mathematical Physics
language:en
Short-container-title:Advances in Mathematical Physics

Author:

Manzoor Tayyaba¹,Khan Adnan¹,Wubneh Kahsay Godifey²^ORCID,Kahsay Hafte Amsalu²^ORCID

Affiliation:

1. National College of Business Administration & Economics, Lahore, Pakistan

2. Department of Mathematics, Wollo University, Dessie, Ethiopia

Abstract

In this paper, a beta operator is used with Caputo Marichev-Saigo-Maeda (MSM) fractional differentiation of extended Mittag-Leffler function in terms of beta function. Further in this paper, some corollaries and consequences are shown that are the special cases of our main findings. We apply the beta operator on the right-sided MSM fractional differential operator and on the left-sided MSM fractional differential operator. We also apply beta operator on the right-sided MSM fractional differential operator with Mittag-Leffler function and the left-sided MSM fractional differential operator with Mittag-Leffler function.

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

Link

http://downloads.hindawi.com/journals/amp/2021/5560543.pdf

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