On the solutions of certain fractional kinetic matrix equations involving Hadamard fractional integrals-Reference-Cited by-同舟云学术

On the solutions of certain fractional kinetic matrix equations involving Hadamard fractional integrals

Published:2022 Issue:8 Volume:7 Page:15520-15531
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Akel Mohamed¹,Hidan Muajebah²,Boulaaras Salah³,Abdalla Mohamed¹²

Affiliation:

1. Mathematics Department, Faculty of Science, South Valley University, Qena 83523, Egypt

2. Mathematics Department, Faculty of Science, King Khalid University, Abha 61471, Saudi Arabia

3. Department of Mathematics, College of Sciences and Arts, ArRas, Qassim University, Saudi Arabia

Abstract

<abstract><p>Currently, matrix fractional differential equations have several applications in diverse fields, including mathematical analysis, control systems, economics, optimization theory, physics, astrophysics and engineering. In this line of research, we introduce generalized fractional kinetic equations including extended $ k $-Hurwitz-Lerch zeta-matrix functions. By applying the Hadamard fractional integral properties and via the Mellin integral transform, we present the solution of fractional kinetic matrix equations involving families of Hurwitz-Lerch zeta matrix functions. In addition, we consider a number of specific instances of our key results.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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