Fundamental solution and discrete random walk model for a time-space fractional diffusion equation of distributed order

DOI10.1007/s12190-008-0084-xzbMath1157.65520OpenAlexW2036849170MaRDI QIDQ949347

Fawang Liu, V. V. Anh, Shujun Shen

Publication date: 21 October 2008

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

Full work available at URL: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.652.9310

zbMATH Keywords

fundamental solutionCaputo fractional derivativeadvection-dispersion equationRiesz fractional derivativesdiscrete random walk modelexplicit finite difference approximationfractional diffusion equation of distributed ordertime-space fractional derivative

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Operations with distributions and generalized functions (46F10) Fractional derivatives and integrals (26A33) Random operators and equations (aspects of stochastic analysis) (60H25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Roundoff error (65G50)

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