3 papers
math.PR2025
Synchronization of stochastic dissipative differential equation driven by fractional Brownian motions
Qiyong Cao, Hongjun Gao, Wei Wei
In this paper, we study a class of dissipative stochastic differential equations driven by nonlinear multiplicative fractional Brownian noise with Hurst index $H \in \left(\frac{1}…
math.PR2023
Synchronization of Differential Equations Driven by Linear Multiplicative Fractional Brownian Motion
Wei Wei, Hongjun Gao, Qiyong Cao
This paper is devoted to the synchronization of stochastic differential equations driven by the linear multiplicative fractional Brownian motion with Hurst parameter $H\in(\frac{1}…
math.PR2023
Random attractors for locally monotone stochastic partial differential equations with linear multiplicative fractional noise
Qiyong Cao, Hongjun Gao
In this paper, we consider the random attractors for a class of locally monotone stochastic partial differential equations perturbed by the linear multiplicative fractional Brownia…