Variational solutions for a class of fractional stochastic partial differential equations

In this Note we present new results regarding the existence, the uniqueness and the equivalence of two notions of variational solution related to a class of non autonomous, semilinear, stochastic partial differential equations defined on an open bounded domain D subset of R-d. The equations we consider are driven by an infinite-dimensional noise derived from an L-2(D)-valued fractional Wiener process W-H with Hurst parameter H is an element of(1/gamma +1, 1), where gamma is an element of (0, 1] denotes the Holder exponent of the derivative of the nonlinearity that appears in the stochastic term. (C) 2005 Academie des sciences. Published by Elsevier SAS. All rights reserved.