Harmonic analysis of random fractional diffusion-wave equations.

DOI10.1016/S0096-3003(02)00322-3zbMath1053.60064OpenAlexW1985028896MaRDI QIDQ1408297

V. V. Anh, Nikolai N. Leonenko

Publication date: 15 September 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00322-3

zbMATH Keywords

Mittag-Leffler functionspectral representationGreen functionrandom dataVolterra-type fractional integral equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Integral representations of solutions to PDEs (35C15) Partial functional-differential equations (35R10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (11)

A meshless method based on point interpolation method (PIM) for the space fractional diffusion equation ⋮ Space-time fractional stochastic equations on regular bounded open domains ⋮ A note on fractional diffusion equations ⋮ Fractional kinetic equations driven by Gaussian or infinitely divisible noise ⋮ The analytical solution and numerical solution of the fractional diffusion-wave equation with damping ⋮ The time fractional diffusion equation and the advection-dispersion equation ⋮ The analytical solution and numerical solutions for a two-dimensional multi-term time fractional diffusion and diffusion-wave equation ⋮ Diffusion on multifractals ⋮ Spectral method for the two-dimensional time distributed-order diffusion-wave equation on a semi-infinite domain ⋮ An efficient multigrid method with preconditioned smoother for two-dimensional anisotropic space-fractional diffusion equations ⋮ Interactions of fractional \(N\)-solitons with anomalous dispersions for the integrable combined fractional higher-order mKdV hierarchy

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