Approximate controllability of fractional impulsive evolution systems involving nonlocal initial conditions

Advances in Difference Equations

Chuanxi Zhu¹  Xiaozhi Zhang¹  Chenggui Yuan² 

[1]Department of Mathematics, Nanchang University, Nanchang, P.R. China

[2]Department of Mathematics, Swansea University, Swansea, UK

关键词: approximate controllability;    evolution equations;    mild solution;    nonlocal conditions;    93B05;    34A08;    34A37;   

DOI  :  10.1186/s13662-015-0580-x

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This work is concerned with the approximate controllability of a nonlinear fractional impulsive evolution system under the assumption that the corresponding linear system is approximate controllable. Using the fractional calculus, the Krasnoselskii fixed point theorem, and the technique of controllability theory, some new sufficient conditions for approximate controllability of fractional impulsive evolution equations are obtained. The results in this paper are generalizations and continuations of the recent results on this issue. At the end, an example is given to illustrate the effectiveness of the main results.

【 授权许可】

CC BY