Random walk's models for fractional diffusion equation

DOI10.3934/dcdsb.2016058zbMath1350.60076OpenAlexW2525672329MaRDI QIDQ325769

Wafa Hamrouni, Ali Abdennadher

Publication date: 11 October 2016

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

Full work available at URL: https://doi.org/10.3934/dcdsb.2016058

zbMATH Keywords

integro-differential equationsfractional derivativesrandom walkstransport processesfractional diffusion equation

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Integro-partial differential equations (45K05) Fractional derivatives and integrals (26A33) Diffusion processes (60J60) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)

Cites Work

• Fractals and fractional calculus in continuum mechanics
• Fractional calculus description of nonlinear viscoelastic behaviour of polymers
• Fractional Fick's law: the direct way
• The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
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