Time-space fractional stochastic Ginzburg-Landau equation driven by fractional Brownian motion

DOI10.1016/j.camwa.2019.06.004zbMath1443.60069OpenAlexW2954626126MaRDI QIDQ2004441

Pengfei Xu, Jian Hua Huang, Guang-an Zou

Publication date: 7 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2019.06.004

zbMATH Keywords

fractional Brownian motionGinzburg-Landau equationmild solutionMittag-Leffler functionsCaputo-type fractional derivative

Mathematics Subject Classification ID

Fractional processes, including fractional Brownian motion (60G22) NLS equations (nonlinear Schrödinger equations) (35Q55) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Fractional partial differential equations (35R11)

Related Items (5)

Asymptotic behaviour of time fractional stochastic delay evolution equations with tempered fractional noise ⋮ High‐order finite difference/spectral‐Galerkin approximations for the nonlinear time–space fractional Ginzburg–Landau equation ⋮ Numerical analysis of a fourth-order linearized difference method for nonlinear time-space fractional Ginzburg-Landau equation ⋮ Stochastic time-optimal control for time-fractional Ginzburg–Landau equation with mixed fractional Brownian motion ⋮ Upper semi-continuity of random attractors and existence of invariant measures for nonlocal stochastic Swift–Hohenberg equation with multiplicative noise

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