Open Access Research

Approximate controllability of fractional integro-differential equations involving nonlocal initial conditions

NI Mahmudov* and S Zorlu

Author Affiliations

Eastern Mediterranean University, via Mersin 10, Gazimagusa, T.R. North Cyprus, Turkey

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Boundary Value Problems 2013, 2013:118  doi:10.1186/1687-2770-2013-118

Published: 8 May 2013

Abstract

We discuss the approximate controllability of nonlinear fractional integro-differential system under the assumptions that the corresponding linear system is approximately controllable. Using the fixed-point technique, fractional calculus and methods of controllability theory, a new set of sufficient conditions for approximate controllability of fractional integro-differential equations are formulated and proved. The results in this paper are generalization and continuation of the recent results on this issue. An example is provided to show the application of our result.