Approximate controllability of fractional partial differential equation

Advances in Difference Equations

Ping Wang¹  Fang Wang²  Zhengan Yao³ 

[1] School of Mathematics and Computational Science, Changsha University of Science and Technology, Changsha, P.R. China;School of Mathematics and Computational Science, Sun Yat-Sen University, Guangzhou, P.R. China;Xiamen Institute of Technology, Xiamen, P.R. China

关键词: fractional partial differential equation;    compact semigroup;    Schauder fixed point theorem;    approximate controllability;    34H05;   

DOI  :  10.1186/s13662-015-0692-3

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In the present paper, by using the theory of semigroup operators and the Schauder fixed point theorem, we define the mild solution of a fractional partial differential equation and obtain the existence and uniqueness of the mild solution. Then we study the approximate controllability of fractional partial differential equation and give an example to illustrate the theory.

【 授权许可】

CC BY