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Research Article | Open Access

Solution of fractional kinetic equations involving extended ( k , τ )-Gauss hypergeometric matrix functions

Muajebah Hidan1, Mohamed Akel2, Hala Abd-Elmageed2, Mohamed Abdalla1,2( )
Mathematics Department, Faculty of Science, King Khalid University, Abha 61471, Saudi Arabia
Mathematics Department, Faculty of Science, South Valley University, Qena 83523, Egypt
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Abstract

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.

Keywords

(k, τ)-Gauss hypergeometric matrix functionMellin transformfractional kinetic equation
CLC number: 33B15, 33C05, 33C20, 34A05

References

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AIMS Mathematics
Volume 7 Issue 8,
August 2022
Pages 14474-14491
DOI: 10.3934/math.2022798

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Cite this article:
Hidan M, Akel M, Abd-Elmageed H, et al. Solution of fractional kinetic equations involving extended ( k , τ )-Gauss hypergeometric matrix functions. AIMS Mathematics, 2022, 7(8): 14474-14491. https://doi.org/10.3934/math.2022798

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Received: 10 December 2021
Revised: 16 May 2022
Accepted: 24 May 2022
Published: 15 August 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)