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Research Article Open access CC BY 3.0

Existence Solutions and Controllability of Nonlinear Fractional Integro-differential Systems with Nonlocal Conditions

Hamdy M. Ahmed

Journal of Advances in Mathematics and Computer Science · pp. 740–749 · Published 16 Aug 2013

10.9734/BJMCS/2013/5153

Abstract

We prove the existence of mild solutions of fractional integrodifferential equations with nonlocal conditions in Banach spaces. Sufficient conditions for controllability of fractional integrodifferential systems are established. The results are obtained by using resolvent operators and Schauder fixed point theorem. An example is provided to illustrate our results.

Fractional calculus nonlocal conditions integrodifferential systems mild solutions resolvent operators controllability Schauder fixed point theorem

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