Existence and regularity results for semilinear stochastic time-tempered fractional wave equations with multiplicative Gaussian noise and additive fractional Gaussian noise

DOI10.3934/dcdss.2022209zbMath1527.35112MaRDI QIDQ6066316

Weihua Deng, Daxin Nie, Yajing Li, Yejuan Wang

Publication date: 15 November 2023

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

zbMATH Keywords

fractional Laplacianmultiplicative Gaussian noiseexistence and regularityadditive fractional Gaussian noisesemilinear stochastic time-tempered fractional wave equation

Mathematics Subject Classification ID

Fractional processes, including fractional Brownian motion (60G22) Smoothness and regularity of solutions to PDEs (35B65) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Fractional partial differential equations (35R11)

Related Items (1)

Galerkin Finite Element Approximation for Semilinear Stochastic Time-Tempered Fractional Wave Equations with Multiplicative Gaussian Noise and Additive Fractional Gaussian Noise

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