Stochastic Burgers equation with fractional derivative driven by multiplicative noise

摘要

This article is devoted to the study of the existence and uniqueness of mildsolution to time- and space-fractional stochastic Burgers equation perturbed bymultiplicative white noise. The required results are obtained by stochasticanalysis techniques, fractional calculus and semigroup theory. We also provedthe regularity properties of mild solution for this generalized Burgersequation.