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. 
Zhen-Qing Chen, Kyeong-Hun Kim and Panki Kim
math.PR