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

Tayyaba Manzoor | Zendy; Adnan Khan | Zendy; Kahsay Godifey Wubneh | Zendy; Hafte Amsalu Kahsay | Zendy

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

Author(s) -

Tayyaba Manzoor,

Adnan Khan,

Kahsay Godifey Wubneh,

Hafte Amsalu Kahsay

Publication year - 2021

Publication title -

advances in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.283

H-Index - 23

eISSN - 1687-9139

pISSN - 1687-9120

DOI - 10.1155/2021/5560543

Subject(s) - operator (biology) , mathematics , mittag leffler function , fractional calculus , differential operator , semi elliptic operator , function (biology) , beta (programming language) , shift operator , mathematical analysis , pure mathematics , compact operator , computer science , extension (predicate logic) , biochemistry , chemistry , repressor , evolutionary biology , biology , transcription factor , gene , programming language

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.

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