Investigation of Fractional Calculus for Extended Wright Hypergeometric Matrix Functions

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 als...

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Bibliographic Details
Main Authors: Mohamed Niyaz, Ahmed H. Soliman, Ahmed Bakhet
Format: Article
Language:English
Published: Hindawi Limited 2023-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2023/9505980
Description
Summary: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.
ISSN:1687-0409