Sobolev type fractional stochastic integro-differential evolution

Kerboua Mourada,*

Sobolev type fractional stochastic integro-differential evolution

Authors :

Kerboua Mourad^a,*

Author Address :

^aDepartment of Mathematics, Guelma University, 24000 Guelma, Algeria.

Abstract :

In this paper, we prove the existence of a $\alpha$ mild solutions for a class of fractional stochastic integrodifferential evolution equations of sobolev type with fractional sobolev stochastic nonlocal conditions in a real separable Hilbert space. To establish our main results, we use the Banach contraction mapping principle, fractional calculus, stochastic analysis and an analytic semigroup of linear operators. An example is given to illustrate the feasibility of our abstract result..

Keywords :

Fractional stochastic evolution equations, Fixed point technique, fractional stochastic nonlocal condition.

DOI :

Article Info :

Received : February 20, 2015; Accepted : August 20, 2015.