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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 Sobolev-Type Fractional Neutral Evolution Inclusions

Discontinuity, Nonlinearity, and Complexity 8(1) (2019) 71--87 | DOI:10.5890/DNC.2019.03.007

M. Tamilselvan, R. Murugesu

Department of Mathematics, SRMV College of Arts and Science, Coimbatore - 641020, Tamil Nadu, India

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Abstract

In this work, we establish a set of sufficient conditions for the approximate controllability for a class of Sobolev-type fractional neutral evolution inclusions in Banach spaces. We use Bohnenblust-Karlin’s fixed point theorem to prove our main results. Further, we extend our result to study the approximate controllability for nonlinear fractional control system with nonlocal conditions. An example is also given to illustrate our main results.

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