In this paper we develop a method to solve 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. (Joint work with Wei Liu and Jose Lu?s da Silva).
|