Fractional stochastic evolution equations with Lévy noise. (English) Zbl 1240.60193

Summary: 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 Lévy type, with non-Lipschitz nonlinearities. We find the solution in the space of mean square continuous and predictable processes from \(\mathbb {R}_{+}\) into \(H\).


60H20 Stochastic integral equations
45D05 Volterra integral equations