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AIMS Mathematics

2022, Volume 7, Issue 8: 14474-14491. doi: 10.3934/math.2022798
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Solution of fractional kinetic equations involving extended (k,τ)-Gauss hypergeometric matrix functions

  • 1.
    Mathematics Department, Faculty of Science, King Khalid University, Abha 61471, Saudi Arabia
  • 2.
    Mathematics Department, Faculty of Science, South Valley University, Qena 83523, Egypt
  • Received: 10 December 2021 Revised: 16 May 2022 Accepted: 24 May 2022 Published: 06 June 2022

  • MSC : 33B15, 33C05, 33C20, 34A05

  • In this work, we define an extension of the k-Wright ((k,τ)-Gauss) hypergeometric matrix function and obtain certain properties of this function. Further, we present this function to achieve the solution of the fractional kinetic equations.

    Citation: Muajebah Hidan, Mohamed Akel, Hala Abd-Elmageed, Mohamed Abdalla. Solution of fractional kinetic equations involving extended (k,τ)-Gauss hypergeometric matrix functions[J]. AIMS Mathematics, 2022, 7(8): 14474-14491. doi: 10.3934/math.2022798

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  • In this work, we define an extension of the k-Wright ((k,τ)-Gauss) hypergeometric matrix function and obtain certain properties of this function. Further, we present this function to achieve the solution of the fractional kinetic equations.




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