Existence and upper semicontinuity of random attractors for non-autonomous fractional stochastic Ginzburg-Landau equations

Abstract

This paper deals with the dynamical behavior of solutions for nonautonomous stochastic fractional Ginzburg-Landau equations driven by multiplicative noise with α ∈ (0, 1). We first transform the stochastic equation into a random equation, the solutions of which generate a random dynamical system. Consequently, we establish the existence and uniqueness of tempered pullback random attractors for the equations in a bounded domain. Finally, we obtain the upper semicontinuity of random attractors when the intensity of noise approaches zero.