The existence and Hyers-Ulam stability of solution for almost periodical fractional stochastic differential equation with fBm

Y Guo, M Chen, XB Shu, F Xu - Stochastic Analysis and …, 2021 - Taylor & Francis
The article is devoted to the existence and Hyers-Ulam stability of the almost periodic
solution to the fractional differential equation with impulse and fractional Brownian motion …

Random attractors for non-autonomous stochasticwave equations with multiplicative noise

B Wang - Discrete and continuous dynamical systems, 2013 - aimsciences.org
This paper is concerned with the asymptotic behavior of solutions of the damped non-
autonomous stochastic wave equations driven by multiplicative white noise. We prove the …

Asymptotic behavior of fractional nonclassical diffusion equations driven by nonlinear colored noise on

R Wang, L Shi, B Wang - Nonlinearity, 2019 - iopscience.iop.org
This paper is concerned with the asymptotic behavior of the solutions of the fractional
nonclassical diffusion equations driven by nonlinear colored noise defined on the entire …

Neutral stochastic functional differential equations driven by a fractional Brownian motion in a Hilbert space

B Boufoussi, S Hajji - Statistics & probability letters, 2012 - Elsevier
In this note we prove an existence and uniqueness result of mild solutions for a neutral
stochastic differential equation with finite delay, driven by a fractional Brownian motion in a …

[HTML][HTML] Dynamics of fractional stochastic reaction-diffusion equations on unbounded domains driven by nonlinear noise

B Wang - Journal of Differential Equations, 2019 - Elsevier
This paper is concerned with the asymptotic behavior of the solutions of the fractional
reaction-diffusion equations with polynomial drift terms of arbitrary order driven by locally …

Asymptotically autonomous robustness of random attractors for a class of weakly dissipative stochastic wave equations on unbounded domains

T Caraballo, B Guo, NH Tuan, R Wang - Proceedings of the Royal …, 2021 - cambridge.org
This paper is concerned with the asymptotic behaviour of solutions to a class of non-
autonomous stochastic nonlinear wave equations with dispersive and viscosity dissipative …

[HTML][HTML] Random dynamics of p-Laplacian lattice systems driven by infinite-dimensional nonlinear noise

R Wang, B Wang - Stochastic Processes and their Applications, 2020 - Elsevier
This article is concerned with the global existence and random dynamics of the non-
autonomous p-Laplacian lattice system defined on the entire integer set driven by infinite …

[PDF][PDF] Random dynamics of fractional nonclassical diffusion equations driven by colored noise.

R Wang, Y Li, B Wang - Discrete & Continuous Dynamical …, 2019 - researchgate.net
The random dynamics in H s (Rn) with s∈(0, 1) is investigated for the fractional nonclassical
diffusion equations driven by colored noise. Both existence and uniqueness of pullback …

Attractors of non-autonomous stochastic lattice systems in weighted spaces

PW Bates, K Lu, B Wang - Physica D: Nonlinear Phenomena, 2014 - Elsevier
We study the asymptotic behavior of solutions to a class of non-autonomous stochastic
lattice systems driven by multiplicative white noise. We prove the existence and uniqueness …

Weak pullback attractors for mean random dynamical systems in Bochner spaces

B Wang - Journal of Dynamics and Differential Equations, 2019 - Springer
This paper is concerned with weak pullback mean random attractors for mean random
dynamical systems defined in Bochner spaces. We first introduce the concept of weak …