Galerkin finite element approximation of a stochastic semilinear fractional subdiffusion with fractionally integrated additive noise

DOI10.1093/IMANUM/DRAB035zbMath1502.65127OpenAlexW3164521274MaRDI QIDQ5093109

Bernard A. Egwu, Yubin Yan, Wenyan Kang, Amiya K. Pani

Publication date: 26 July 2022

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/drab035

zbMATH Keywords

regularityerror analysisGalerkin finite element methodexistence and uniquenessCaputo fractional derivativefractionally integrated additive noisestochastic space and time fractional subdiffusion

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Fractional derivatives and integrals (26A33) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) White noise theory (60H40) Mittag-Leffler functions and generalizations (33E12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) PDEs with randomness, stochastic partial differential equations (35R60) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Regularization by noise (60H50)

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