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Investigation of Fractional Calculus for Extended Wright Hypergeometric Matrix Functions

Author

Listed:
  • Mohamed Niyaz
  • Ahmed H. Soliman
  • Ahmed Bakhet

Abstract

Throughout this paper, we will present a new extension of the Wright hypergeometric matrix function by employing the extended Pochhammer matrix symbol. First, we present the extended hypergeometric matrix function and express certain integral equations and differential formulae concerning it. We also present the Mellin matrix transform of the extended Wright hypergeometric matrix function. After that, we present some fractional calculus findings for these expanded Wright hypergeometric matrix functions. Lastly, we present several theorems of the extended Wright hypergeometric matrix function in fractional Kinetic equations.

Suggested Citation

  • Mohamed Niyaz & Ahmed H. Soliman & Ahmed Bakhet, 2023. "Investigation of Fractional Calculus for Extended Wright Hypergeometric Matrix Functions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2023(1).
    • Handle: RePEc:wly:jnlaaa:v:2023:y:2023:i:1:n:9505980
    DOI: 10.1155/2023/9505980
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    References listed on IDEAS

    as
    1. Sadeghi, Amir & Cardoso, João R., 2018. "Some notes on properties of the matrix Mittag-Leffler function," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 733-738.
    2. Rahul Goyal & Praveen Agarwal & Georgia Irina Oros & Shilpi Jain, 2022. "Extended Beta and Gamma Matrix Functions via 2-Parameter Mittag-Leffler Matrix Function," Mathematics, MDPI, vol. 10(6), pages 1-8, March.
    3. Ghazi S. Khammash & Praveen Agarwal & Junesang Choi, 2020. "Extended k-Gamma and k-Beta Functions of Matrix Arguments," Mathematics, MDPI, vol. 8(10), pages 1-13, October.
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