Approximate controllability of nonlocal non-autonomous Sobolev type evolution equations

Abstract

The aim of this article is to investigate the existence of mild solutions as well as approximate controllability of non-autonomous Sobolev type differential equations with the nonlocal condition. To prove our results, we will take the help of Krasnoselskii fixed point technique, evolution system and controllability of the corresponding linear system.

Controllability of Sobolev type fuzzy differential equation with non-instantaneous impulsive condition

“…In [4], Arora et al studied the sufficient conditions for the approximate controllability of a semilinear Sobolev type evolution system in Banach spaces. To study more about Sobolev type differential equations, one can see [27,13,6].…”