Existence Solutions and Controllability of Nonlinear Fractional Integro-differential Systems with Nonlocal Conditions
Hamdy M. Ahmed *
Higher Institute of Engineering, El-Shorouk Academy, P.O. 3 El-Shorouk City, Cairo,Egypt.
*Author to whom correspondence should be addressed.
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.
Keywords: Fractional calculus, nonlocal conditions, integrodifferential systems, mild solutions, resolvent operators, controllability, Schauder fixed point theorem