Fractal Dimension of Random Attractors for Non-autonomous Fractional Stochastic Ginzburg—Landau Equations

This paper considers the dynamical behavior of solutions for non-autonomous stochastic fractional Ginzburg-Landau equations driven by additive noise with α ε (0,1). First, we give some conditions for bounding the fractal dimension of a random invariant set of non-autonomous random dynamical system. Second, we derive uniform estimates of solutions and establish the existence and uniqueness of tempered pullback random attractors for the equation in H . At last, we prove the finiteness of fractal dimension of random attractors.