On the asymptotic behavior of solutions to time-fractional elliptic equations driven by a multiplicative white noise

DOI10.3934/dcdsb.2020318zbMath1465.35400arXiv2002.06054OpenAlexW4232649288MaRDI QIDQ2029760

Hoang The Tuan

Publication date: 4 June 2021

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.06054

zbMATH Keywords

asymptotic behaviorstochastic partial differential equationsmild solutionexistence and uniquenesstime fractional derivatives

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Perturbations in context of PDEs (35B20) PDEs with randomness, stochastic partial differential equations (35R60) Fractional partial differential equations (35R11)

Related Items (6)

The continuity, regularity and polynomial stability of mild solutions for stochastic 2D-Stokes equations with unbounded delay driven by tempered fractional Gaussian noise ⋮ Optimal Control Problems Governed by Fractional Differential Equations with Control Constraints ⋮ Euler-Maruyama scheme for Caputo stochastic fractional differential equations ⋮ The asymptotic behavior of solutions for stochastic evolution equations with pantograph delay ⋮ Fast \(\theta\)-Maruyama scheme for stochastic Volterra integral equations of convolution type: mean-square stability and strong convergence analysis ⋮ Stochastic fractional integro-differential equations with weakly singular kernels: well-posedness and Euler-Maruyama approximation

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