On stochastic fractional Volterra equations in Hilbert space

Abstract

In this paper stochastic Volterra equations admitting exponentially bounded resolvents are studied. After obtaining convergence of resolvents, some properties of stochastic convolutions are given. The paper provides a sufficient condition for a stochastic convolution to be a strong solution to a stochastic Volterra equation.

arXiv commentExtended version of the talk given at AIMS' Sixth International Conference on Dynamical Systems, Differential Equations and Applications, Poitiers, June 25 - 28, 2006. 11 pages