Discontinuity, Nonlinearity, and Complexity
Approximate Controllability of SobolevType Fractional Neutral Evolution Inclusions
Discontinuity, Nonlinearity, and Complexity 8(1) (2019) 7187  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 Sobolevtype fractional neutral evolution inclusions in Banach spaces. We use BohnenblustKarlin’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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