Existence and uniqueness of the solution to a coupled fractional diffusion system

Advances in Difference Equations

Shaomei Fang¹  Lang Li¹  Lingyu Jin¹ 

[1] Department of Applied Mathematics, South China Agricultural University, Guangzhou, China

关键词: fractional diffusion system;    initial boundary value problem;    weak solution;   

DOI  :  10.1186/s13662-015-0707-0

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we consider the initial boundary value problem for a coupled fractional diffusion system. By using eigenfunction expansions and a priori estimates, we establish the existence and uniqueness of the weak solution and then the regularity of the solution.

【 授权许可】

CC BY