Discrete Dynamics in Nature and Society (Jan 2021)

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

  • Adnan Khan,
  • Tayyaba Manzoor,
  • Hafte Amsalu Kahsay,
  • Kahsay Godifey Wubneh

DOI
https://doi.org/10.1155/2021/5587616
Journal volume & issue
Vol. 2021

Abstract

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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.