abstract: In this talk I will discuss some recent results of David Nualart and myself regarding an existence and uniqueness theory of variational solutions for a class of nonautonomous stochastic partial differential equations of parabolic type defined on a bounded open subset of the d-dimensional Euclidean space and driven by an infinite-dimensional multiplicative fractional noise. I will focus on the main results and the main ideas of the proofs while referring to (1) for details." (1 D. Nualart, P.-A. Vuillermot, Journal of Functional Analysis 232, (2006), pp. 390-454.