AccScience Publishing / IJOCTA / Volume 9 / Issue 3 / DOI: 10.11121/ijocta.01.2019.00644
RESEARCH ARTICLE

Approximate controllability of nonlocal non-autonomous Sobolev type evolution equations

Arshi Meraj1* Dwijendra Narain Pandey1
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1 Department of Mathematics, Indian Institute of Technology Roorkee, Uttarakhand, India, PIN - 247667
Submitted: 26 July 2018 | Accepted: 16 May 2019 | Published: 30 July 2019
© 2019 by the Author(s). This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution -Noncommercial 4.0 International License (CC-by the license) ( https://creativecommons.org/licenses/by-nc/4.0/ )
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
Conflict of interest
The authors declare they have no competing interests.
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