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

Author

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  • Adnan Khan
  • Tayyaba Manzoor
  • Hafte Amsalu Kahsay
  • Kahsay Godifey Wubneh
  • Xiaohua Ding

Abstract

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.

Suggested Citation

  • Adnan Khan & Tayyaba Manzoor & Hafte Amsalu Kahsay & Kahsay Godifey Wubneh & Xiaohua Ding, 2021. "Laplace Operator with Caputo-Type Marichev–Saigo–Maeda Fractional Differential Operator of Extended Mittag-Leffler Function," Discrete Dynamics in Nature and Society, Hindawi, vol. 2021, pages 1-11, April.
    • Handle: RePEc:hin:jnddns:5587616
    DOI: 10.1155/2021/5587616
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