A. S. Ghanem

Nonlinear Impulsive Fractional Integro Differential Equations

Hamdy M. Ahmed, A. A. M. Hassan & A. S. Ghanem · Journal of Advances in Mathematics and Computer Science · 2015

By using xed point theorem we studied the mild solution of fractional integro- differential equations with non-local and impulsive conditions, also we studied the sucient conditions of controllability for this system.

Open access Research Article 10.9734/BJMCS/2015/18725

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