Fractional stochastic evolution equations with Lévy noise

Abstract

In this paper, we consider the problem of existence and uniqueness for a class of abstract integral Volterra equations in a Hilbert space $H$ perturbed by an additive noise of L\'evy type, with nonLipschitz nonlinearities. We find the solution in the space of mean square continuous and predictable processes from ${\mathbb R} _+$ into $H$.