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ISSN:2164-6376 (print)
ISSN:2164-6414 (online)
Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com

Approximate Controllability of Second-order Neutral Stochastic Non-autonomous Integrodifferential Inclusions by Resolvent Operators

Discontinuity, Nonlinearity, and Complexity 8(3) (2019) 247--259 | DOI:10.5890/DNC.2019.09.001

R. Nirmalkumar, R. Murugesu

Department of Mathematics, SRMV College of Arts and Science, Coimbatore - 641 020, Tamil Nadu, India

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Abstract

In this paper, we formulate a set of sufficient conditions for the approximate controllability for a class of second-order neutral stochastic nonautonomous integrodifferential inclusions in Hilbert space. We establish the results with the help of resolvent operators and Bohnenblust-Karlin’s fixed point theorem is to prove the main result. An application is given to illustrate the main result.

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