Journal of Applied Mathematics
Volume 2013 (2013), Article ID 291816, 7 pages
http://dx.doi.org/10.1155/2013/291816
Research Article

Approximate Controllability of Fractional Integrodifferential Evolution Equations

R. Ganesh,1 R. Sakthivel,2 N. I. Mahmudov,3 and S. M. Anthoni1

1Department of Mathematics, Anna University, Regional Centre, Coimbatore 641 047, Tamil Nadu, India
2Department of Mathematics, Sungkyunkwan University, Suwon 440-746, Republic of Korea
3Department of Mathematics, Eastern Mediterranean University, Gazimagusa, Mersin 10, Turkey

Received 11 March 2013; Revised 7 May 2013; Accepted 7 May 2013

Academic Editor: Naseer Shahzad

Copyright © 2013 R. Ganesh et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper addresses the issue of approximate controllability for a class of control system which is represented by nonlinear fractional integrodifferential equations with nonlocal conditions. By using semigroup theory, p-mean continuity and fractional calculations, a set of sufficient conditions, are formulated and proved for the nonlinear fractional control systems. More precisely, the results are established under the assumption that the corresponding linear system is approximately controllable and functions satisfy non-Lipschitz conditions. The results generalize and improve some known results.