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

Author

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

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.

Suggested Citation

  • Tayyaba Manzoor & Adnan Khan & Kahsay Godifey Wubneh & Hafte Amsalu Kahsay, 2021. "Beta Operator with Caputo Marichev-Saigo-Maeda Fractional Differential Operator of Extended Mittag-Leffler Function," Advances in Mathematical Physics, Hindawi, vol. 2021, pages 1-9, March.
    • Handle: RePEc:hin:jnlamp:5560543
    DOI: 10.1155/2021/5560543
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