Wave equation driven by fractional generalized stochastic processes

DOI10.1007/s00009-013-0324-7zbMath1288.26006OpenAlexW2043965549MaRDI QIDQ382060

Mirjana Stojanovic

Publication date: 18 November 2013

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-013-0324-7

zbMATH Keywords

nonlinear stochastic wave equationsexistence-uniqueness result in extended Colombeau settingsfractional derivatives of Colombeau generalized stochastic processesinfluence of the fractional singular additive term and/or the singular initial data

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Generalized stochastic processes (60G20) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30)

Related Items (5)

Galerkin Finite Element Approximation for Semilinear Stochastic Time-Tempered Fractional Wave Equations with Multiplicative Gaussian Noise and Additive Fractional Gaussian Noise ⋮ A numerical method to solve higher-order fractional differential equations ⋮ Operational matrix of fractional integration based on the shifted second kind Chebyshev polynomials for solving fractional differential equations ⋮ Existence and regularity results for semilinear stochastic time-tempered fractional wave equations with multiplicative Gaussian noise and additive fractional Gaussian noise ⋮ Mean square convergence of the numerical solution of random differential equations

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