Approximate controllability of fractional nonlocal evolution equations with multiple delays

Advances in Difference Equations

He Yang¹  Elyasa Ibrahim² 

[1] College of Mathematics and Statistics, Northwest Normal University, Lanzhou, People’s Republic of China

关键词: fractional evolution equations;    nonlocal initial condition;    multiple delays;    compact analytic semigroup;    approximate controllability;    34A08;    34K35;   

DOI  :  10.1186/s13662-017-1334-8

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper deals with the existence and approximate controllability for a class of fractional nonlocal control systems governed by abstract fractional evolution equations with multiple delays. Under some weaker assumptions, the existence as well as the approximate controllability is established by using fixed point theory. An example is given to illustrate the applicability of the abstract results.

【 授权许可】

CC BY