Existence of mild solution result for fractional neutral stochastic integro-differential equations with nonlocal conditions and infinite delay

N. Ait oualia, * and A. Kandoucib

Existence of mild solution result for fractional neutral stochastic integro-differential equations with nonlocal conditions and infinite delay

Authors :

N. Ait ouali^{a, *} and A. Kandouci^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 :

We investigate in this paper the existence of mild solutions for the fractional differential equations of neutral type with nonlocal conditions and infinite delay in Hilbert spaces by employing fractional calculus and Krasnoselski-Schaefer fixed point theorem. Finally an example is provided to illustrate the application of the obtained results.

Keywords :

Infinite delay, Stochastic fractional differential equations, mild solution, fixed point theorem.

DOI :

Article Info :

Received : July 01, 2014; Accepted : October 29, 2014.