Fractal dimension of random attractor for stochastic non-autonomous damped wave equation with linear multiplicative white noise

In this paper, we first present some conditionsfor bounding the fractal dimension of a random invariant set of anon-autonomous random dynamical system on a separable Banach space. Then weapply these conditions to prove the finiteness of fractal dimension ofrandom attractor for stochastic damped wave equation with linear multiplicativewhite noise.