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

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

Open Access

Laplace Operator with Caputo-Type Marichev–Saigo–Maeda Fractional Differential Operator of Extended Mittag-Leffler Function

Author(s) -

Adnan Khan,

Tayyaba Manzoor,

Hafte Amsalu Kahsay,

Kahsay Godifey Wubneh

Publication year - 2021

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2021/5587616

Subject(s) - laplace transform , operator (biology) , mathematics , green's function for the three variable laplace equation , semi elliptic operator , mittag leffler function , differential operator , fractional calculus , function (biology) , mathematical analysis , laplace's equation , differential equation , inverse laplace transform , biochemistry , repressor , evolutionary biology , biology , transcription factor , gene , chemistry

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

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