The regularity of fractional stochastic evolution equations in Hilbert space

DOI10.1080/07362994.2018.1436973zbMath1414.60049OpenAlexW2795775859MaRDI QIDQ4685694

Xiaoyan Su, Miao Li

Publication date: 9 October 2018

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362994.2018.1436973

zbMATH Keywords

mild solutionfractional stochastic evolution equations\(\alpha\)-times resolvent familyregularity of the trajectoriesWiener process in Hilbert space

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Ordinary differential equations and systems with randomness (34F05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Linear differential equations in abstract spaces (34G10) Fractional partial differential equations (35R11)

Related Items (6)

On inverse initial value problems for the stochastic strongly damped wave equation ⋮ Stochastic pseudo-parabolic equations with fractional derivative and fractional Brownian motion ⋮ Classical solutions to the initial-boundary value problems for nonautonomous fractional diffusion equations ⋮ On initial value and terminal value problems for subdiffusive stochastic Rayleigh-Stokes equation ⋮ Well-posedness and regularity for solutions of caputo stochastic fractional differential equations in L^p spaces ⋮ Existence and regularity results for stochastic fractional pseudo-parabolic equations driven by white noise

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