Stochastic averaging principle for two-time-scale SPDEs driven by fractional Brownian motion with distribution dependent coefficients
DOI10.3934/dcdsb.2023138OpenAlexW4385844737MaRDI QIDQ6154512
Jun-Feng Liu, Jiayuan Yin, Guang Jun Shen
Publication date: 15 February 2024
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2023138
fractional Brownian motionaveraging principlefast-slow systemsdistribution dependentKhasminskii time discretization
Fractional processes, including fractional Brownian motion (60G22) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Vlasov equations (35Q83) Averaging for functional-differential equations (34K33)
Cites Work
- Strong and weak orders in averaging for SPDEs
- 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
- Averaging principle for fast-slow system driven by mixed fractional Brownian rough path
- \(L^p(p > 2)\)-strong convergence of an averaging principle for two-time-scales jump-diffusion stochastic differential equations
- Averaging principle for a class of stochastic reaction-diffusion equations
- Differential equations driven by fractional Brownian motion
- Distribution dependent SDEs for Landau type equations
- Stochastic averaging for two-time-scale stochastic partial differential equations with fractional Brownian motion
- A semilinear McKean-Vlasov stochastic evolution equation in Hilbert space
- An averaging principle for two-time-scale stochastic functional differential equations
- Well-posedness and regularity for distribution dependent SPDEs with singular drifts
- Distribution dependent SDEs with singular coefficients
- Stochastic averaging for a class of two-time-scale systems of stochastic partial differential equations
- Distribution dependent stochastic differential equations
- Averaging principle for distribution dependent stochastic differential equations driven by fractional Brownian motion and standard Brownian motion
- Distribution dependent SDEs driven by fractional Brownian motions
- Averaging principle for slow-fast stochastic partial differential equations with Hölder continuous coefficients
- Distribution-dependent SDEs with Hölder continuous drift and \(\alpha\)-stable noise
- Convergence of \(p\)-th mean in an averaging principle for stochastic partial differential equations driven by fractional Brownian motion
- Averaging principle for slow-fast stochastic differential equations with time dependent locally Lipschitz coefficients
- Stochastic calculus for fractional Brownian motion and related processes.
- Donsker-Varadhan large deviations for path-distribution dependent SPDEs
- Strong convergence rates in averaging principle for slow-fast McKean-Vlasov SPDEs
- The Malliavin Calculus and Related Topics
- Stochastic Differential Equations Driven by Fractional Brownian Motion and Standard Brownian Motion
- Da Prato-Zabczyk's maximal inequality revisited. I.
- Weak solutions to Vlasov–McKean equations under Lyapunov-type conditions
- Stochastic Calculus for Fractional Brownian Motion and Applications
- A CLASS OF MARKOV PROCESSES ASSOCIATED WITH NONLINEAR PARABOLIC EQUATIONS
- Fractional Brownian Motions, Fractional Noises and Applications
- Distribution-dependent stochastic porous media equations
- Stochastic calculus with respect to Gaussian processes
- Distribution dependent SDEs driven by additive fractional Brownian motion
- Well-posedness and averaging principle of McKean-Vlasov SPDEs driven by cylindrical α-stable process
- Averaging principles for mixed fast-slow systems driven by fractional Brownian motion
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