Averaging principles for functional stochastic partial differential equations driven by a fractional Brownian motion modulated by two-time-scale Markovian switching processes
DOI10.1016/j.nahs.2017.08.008zbMath1380.60060OpenAlexW2753546304MaRDI QIDQ1690493
George Yin, Yong Xu, Bin Pei, Xiao-Yu Zhang
Publication date: 19 January 2018
Published in: Nonlinear Analysis. Hybrid Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nahs.2017.08.008
fractional Brownian motionaveraging principlefunctional stochastic partial differential equationtwo-time-scale Markov chain
Fractional processes, including fractional Brownian motion (60G22) Stopping times; optimal stopping problems; gambling theory (60G40) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)
Related Items (17)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Strong averaging principle for slow-fast SPDEs with Poisson random measures
- Stochastic averaging for slow-fast dynamical systems with fractional Brownian motion
- Lyapunov exponents of PDEs driven by fractional noise with Markovian switching
- Two-time-scales hyperbolic-parabolic equations driven by Poisson random measures: existence, uniqueness and averaging principles
- Strong and weak orders in averaging for SPDEs
- Average and deviation for slow-fast stochastic partial differential equations
- Stochastic averaging principle for dynamical systems with fractional Brownian motion
- Strong convergence rate in averaging principle for stochastic FitzHugh-Nagumo system with two time-scales
- Two-time-scale stochastic partial differential equations driven by \(\alpha\)-stable noises: averaging principles
- The existence and exponential behavior of solutions to stochastic delay evolution equations with a fractional Brownian motion
- Strong convergence in stochastic averaging principle for two time-scales stochastic partial differential equations
- An averaging principle for stochastic dynamical systems with Lévy noise
- Mild solutions of local non-Lipschitz stochastic evolution equations with jumps
- Unstable invariant manifolds for stochastic PDEs driven by a fractional Brownian motion
- Insurance control for classical risk model with fractional Brownian motion perturbation
- Averaging principle for a class of stochastic reaction-diffusion equations
- Semigroups of linear operators and applications to partial differential equations
- The averaging method for a class of stochastic differential equations
- Evolution equations driven by a fractional Brownian motion
- Stochastic evolution equations with fractional Brownian motion
- An averaging principle for stochastic differential delay equations with fractional Brownian motion
- Limit behavior of two-time-scale diffusions revisited
- Strong convergence in averaging principle for stochastic hyperbolic-parabolic equations with two time-scales
- A Khasminskii type averaging principle for stochastic reaction-diffusion equations
- Stochastic calculus for fractional Brownian motion and related processes.
- Numerical analysis for neutral SPDEs driven by α-stable processes
- Stochastic averaging principle for differential equations with non-Lipschitz coefficients driven by fractional Brownian motion
- Mild solutions of local non-Lipschitz neutral stochastic functional evolution equations driven by jumps modulated by Markovian switching
- Random Perturbations of Dynamical Systems
- Fractional Brownian motion: theory and applications
- On Averaging Principles: An Asymptotic Expansion Approach
- Stochastic Equations in Infinite Dimensions
- Approximation properties for solutions to non-Lipschitz stochastic differential equations with Lévy noise
- Stochastic Calculus for Fractional Brownian Motion and Applications
- Stochastic Differential Equations with Markovian Switching
- Fractional Brownian Motions, Fractional Noises and Applications
- On Transition Densities of Singularly Perturbed Diffusions with Fast and Slow Components
- REGULARIZATION OF QUASILINEAR HEAT EQUATIONS BY A FRACTIONAL NOISE
This page was built for publication: Averaging principles for functional stochastic partial differential equations driven by a fractional Brownian motion modulated by two-time-scale Markovian switching processes