Time fractional and space nonlocal stochastic Boussinesq equations driven by Gaussian white noise

DOI10.3934/dcdsb.2018056zbMath1456.37085OpenAlexW2781985381MaRDI QIDQ1671098

Caibin Zeng, Tianlong Shen, Jian Hua Huang

Publication date: 6 September 2018

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.2018056

zbMATH Keywords

mild solutionMittag-Leffler functionsfractional Laplacian operatorCaputo-type time fractional derivative

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Infinite-dimensional random dynamical systems; stochastic equations (37L55) Fractional partial differential equations (35R11)

Related Items (1)

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

Cites Work

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• Fractional derivatives of solutions of the Navier-Stokes equations
• On the solutions of nonlinear stochastic fractional partial differential equations in one spatial dimension
• Stochastic Equations in Infinite Dimensions

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