Approximate controllability of neutral integrodifferential inclusions via resolvent operators

Year 2019, Volume: 68 Issue: 1, 1206 - 1228, 01.02.2019

M. Tamilselvan

https://doi.org/10.31801/cfsuasmas.513695

Abstract

In this work, a set of sufficient conditions are established for the approximate controllability for neutral integrodifferential inclusions in Banach spaces. The theory of fractional power and α-norm is used because of the spatial derivatives in the nonlinear term of the system. Bohnenblust-Karlin's fixed point theorem is used to prove our main results. Further, this result is extended to study the approximate controllability for nonlinear functional control system with nonlocal conditions. An example is also given to illustrate our main results.

Keywords

Approximate controllability, integrodifferential inclusions, analytic semigroup, resolvent operator, nonlocal conditions

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