On the regularity of weak solutions to space-time fractional stochastic heat equations

DOI10.1016/j.spl.2018.04.006zbMath1398.60080OpenAlexW2795928414WikidataQ129980561 ScholiaQ129980561MaRDI QIDQ1642433

Guangying Lv, Jiang-Lun Wu, Guang-an Zou

Publication date: 20 June 2018

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2018.04.006

zbMATH Keywords

weak solutionsregularity propertiesstochastic heat equationsspace-time fractional derivative

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Fractional partial differential equations (35R11)

Related Items (6)

Analysis of time fractional and space nonlocal stochastic incompressible Navier-Stokes equation driven by white noise ⋮ Solitary wave solutions for nonlinear fractional Schrödinger equation in Gaussian nonlocal media ⋮ Approximate controllability of fractional stochastic differential equations driven by fractional Brownian motion ⋮ Numerical solutions to time-fractional stochastic partial differential equations ⋮ The probabilistic point of view on the generalized fractional partial differential equations ⋮ Numerical approximation and error analysis for Caputo-Hadamard fractional stochastic differential equations

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• The fundamental solutions for the fractional diffusion-wave equation
• Fractional time stochastic partial differential equations
• A concise course on stochastic partial differential equations
• Error estimates of a semidiscrete finite element method for fractional stochastic diffusion‐wave equations

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