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Hamdy M. Ahmed

Publications (3)

Existence of Mild Solution for Impulsive Fractional Differential Equations with Non-local Conditions in Banach Space

Hamdy M. Ahmed, A. A. M. Hassan & A. S. Ghanem · Journal of Advances in Mathematics and Computer Science · 2014

In this paper, by using the probability density function we introduce the mild solution of fractional differential equations with impulsive conditions and obtain various criteria on the existence of mild solutions by using fixed point theorem.

Open access Research Article 10.9734/BJMCS/2014/7673

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

Hamdy M. Ahmed · Journal of Advances in Mathematics and Computer Science · 2013

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 operato...

Open access Research Article 10.9734/BJMCS/2013/5153