期刊论文详细信息
AIMS Mathematics
On the solutions of certain fractional kinetic matrix equations involving Hadamard fractional integrals
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
PDF
【 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   

【 预 览 】
附件列表
Files Size Format View
RO202302200002077ZK.pdf 240KB PDF download
  文献评价指标  
  下载次数:7次 浏览次数:1次