Title of article :
Approximate controllability of nonlocal non-autonomous Sobolev type evolution equations
Author/Authors :
Meraj, Arshi Department of Mathematics - Indian Institute of Technology Roorkee, India , Narain Pandey, Dwijendra Department of Mathematics - Indian Institute of Technology Roorkee, India
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.
Keywords :
Approximate controllability , Krasnoselskii fixed point theorem , evolution system , Sobolev type differential equations
Journal title :
International Journal of Optimization and Control: Theories and Applications
