Approximate controllability of fractional partial differential equation

作者：Wang, Fang^*; Wang, Ping; Yao, Zhengan

来源：Advances in Difference Equations, 2015, 2015(1): 367.

DOI：10.1186/s13662-015-0692-3

• fractional partial differential equation
• compact semigroup
• Schauder fixed point theorem
• approximate controllability

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.

• 出版日期2015-12-1
• 单位中山大学; 长沙理工大学