Special Session 23: 

Quasi-Linear Stochastic Partial Differential Equations with Time-Fractional Derivatives

Wei Liu
Jiangsu Normal University
Peoples Rep of China
Co-Author(s):    Michael Roeckner, Jose Luis da Silva
Abstract:
In this talk we present a method to solve (stochastic) evolution equations on Gelfand triples with time-fractional derivative based on monotonicity techniques. Applications include deterministic and stochastic quasi-linear partial differential equations with time-fractional derivatives, including time-fractional (stochastic) porous media equations (including the case where the Laplace operator is also fractional) and $p$-Laplace equations as special cases.