Fractional time stochastic partial differential equations

In this paper, we introduce a class of stochastic partial differential equations (SPDEs) with fractional time-derivatives, and study the L-2-theory of the equations. This class of SPDEs can be used to describe random effects on transport of particles in medium with thermal memory or particles subject to sticking and trapping. (C) 2014 Elsevier B.V. All rights reserved.