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Research Article Open access CC BY 3.0

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 · pp. 830–840 · Published 16 Jan 2014

10.9734/BJMCS/2014/7673

Abstract

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.

Impulsive fractional differential equations impulsive conditions mild solution semigroup theory probability density function.

Cited by 4

Existence results for an impulsive neutral stochastic fractional integro-differential equation with infinite delay

Alka Chadha, Dwijendra N. Pandey · Nonlinear Analysis · 2015

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