A Sobolev Space theory for stochastic partial differential equations with time-fractional derivatives

Ildoo Kim, Kyeong-Hun Kim, Sungbin Lim

In this article we present an $L_p$-theory ($p\ge 2$) for the time-fractional quasi-linear stochastic partial differential equations (SPDEs) of type $$ \partial^α_tu=L(ω,t,x)u+f(u…