On the finite approximate controllability for Hilfer fractional evolution systems

Advances in Difference Equations

article

Liu, Xianghu¹  Li, Yanfang¹  Xu, Guangjun¹ 

[1] Mathematics Department, Zunyi Normal College

关键词: Finite approximate controllability;    Hilfer fractional derivative;    Mild solutions;    Variational approach;    Schauder’s fixed point theorem;   

DOI  :  10.1186/s13662-019-2478-5

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this paper, we consider the finite approximate controllability of some Hilfer fractional evolution systems. Using a variational approach and Schauder’s fixed point theorem, we give sufficient conditions for finite approximate controllability of semilinear controlled systems. An example is given to illustrate our theory.

【 授权许可】

CC BY