On the matrix versions of the <i>k</i> analog of <scp>ℑ</scp>‐incomplete Gauss hypergeometric functions and associated fractional calculus-Reference-Cited by-同舟云学术

On the matrix versions of the k analog of ℑ‐incomplete Gauss hypergeometric functions and associated fractional calculus

Published:2024-09 Issue: Volume: Page:
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Methods in App Sciences

Author:

Qadha Muneera Abdullah¹²^ORCID,Qadha Sarah Abdullah¹²^ORCID,Bakhet Ahmed³⁴^ORCID

Affiliation:

1. School of Mathematics and Statistics Central South University Changsha China

2. Department of Mathematics, Faculty of Education at Al‐Mahweet Sana'a University Al‐Mahweet Yemen

3. College of Mathematics and System Sciences Xinjiang University Urumqi China

4. Department of Mathematics, Faculty of Science Al‐Azhar University Assiut Egypt

Abstract

In this paper, our aim is to introduce a new definition of ( ‐incomplete Wright hypergeometric matrix functions ( ‐IWHMFs) using the ‐incomplete Pochhammer matrix symbol. First, we define the ‐incomplete gamma matrix function and introduce the ‐incomplete Pochhammer matrix symbols. Furthermore, we present differential formulas and integral representation related to these ‐IWHMFs. We have also obtained some results regarding the ‐fractional calculus operators of these ‐IWHMFs. Finally, we investigate the solutions of fractional kinetic equations (FKEs) involving the ‐IWHMFs.

Publisher

Wiley

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.10382

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