Existence of mild solutions for impulsive fractional stochastic equations with infinite delay

Toufik Guendouzi a,*and Khadem Mehdib

Existence of mild solutions for impulsive fractional stochastic equations with infinite delay

Authors :

Toufik Guendouzi ^a,*and Khadem Mehdi^b

Author Address :

^a,bLaboratory of Stochastic Models, Statistic and Applications, Tahar Moulay University PO.Box 138 En-Nasr, 20000 Saida, Algeria.

*Corresponding author.

Abstract :

This paper is mainly concerned with the existence of mild solutions for a class of fractional stochastic differential equations with impulses in Hilbert spaces. A new set of sufficient conditions are formulated and proved for the existence of mild solutions by means of Sadovskii’s fixed point theorem. An example is given to illustrate the theory.

Keywords :

Existence result, fractional stochastic differential equation, fixed point technique, infinite delay, resolvent operators.

DOI :

Article Info :

Received : July 13, 2013; Accepted : July 25, 2013.