This paper focuses on the study of existence a mild solution to time and space-fractional stochastic equation perturbed by multiplicative white noise. The required results are obtained analysis techniques, fractional calculus, semigroup theory Leray-Schauder nonlinear alternative.

The fractional stochastic vibration system is quite different from the traditional one, and its application potential enormous if noise can be deployed correctly connection between order property unlocked. This article uses a modification of well-known van der Pol oscillator with multiplicative additive recycling noises as an example to study stationary response bifurcation. First, based on pri...