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June  2021, 10(2): 271-296. doi: 10.3934/eect.2020066

## On the approximate controllability of neutral integro-differential inclusions of Sobolev-type with infinite delay

 Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore - 632 014, Tamil Nadu, India

* Corresponding author: V. Vijayakumar

Received  November 2019 Revised  March 2020 Published  June 2021 Early access  June 2020

In our manuscript, we organize a group of sufficient conditions of neutral integro-differential inclusions of Sobolev-type with infinite delay via resolvent operators. By applying Bohnenblust-Karlin's fixed point theorem for multivalued maps, we proved our results. Lastly, we present an application to support the validity of the study.

Citation: V. Vijayakumar, R. Udhayakumar, K. Kavitha. On the approximate controllability of neutral integro-differential inclusions of Sobolev-type with infinite delay. Evolution Equations & Control Theory, 2021, 10 (2) : 271-296. doi: 10.3934/eect.2020066
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