Fractional exponential operators and time-fractional telegraph equation

Boundary value problems

Alireza Ansari¹ 

[1] Department of Applied Mathematics, Faculty of Mathematical Sciences, Shahrekord University, Shahrekord, Iran

关键词: Laplace transform;    Mellin transform;    partial fractional differential equation;    Wright function;   

DOI  :  10.1186/1687-2770-2012-125

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, the Bromwich integral for the inverse Mellin transform is used for finding an integral representation for a fractional exponential operator. This operator can be considered as an approach for solving partial fractional differential equations. Also, application of this operator for obtaining a formal solution of the time-fractional telegraph equation is discussed. MSC:26A33, 35A22, 44A10.

【 授权许可】

CC BY