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

AIMS Mathematics

article

Mohamed Akel¹  Muajebah Hidan²  Salah Boulaaras³  Mohamed Abdalla¹ 

[1] Mathematics Department, Faculty of Science, South Valley University;Mathematics Department, Faculty of Science, King Khalid University;Department of Mathematics, College of Sciences and Arts, ArRas, Qassim University

关键词: Hadamard fractional integral;    fractional kinetic equations;    Hurwitz-Lerch zeta-matrix functions;   

DOI  :  10.3934/math.2022850

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

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.

【 授权许可】

CC BY