The fractional Fokker-Planck equation on comb-like model

DOI10.1016/S0378-4371(02)02026-5zbMath1028.82015OpenAlexW2055732577MaRDI QIDQ1873871

M. A. Zahran, S. A. El-Wakil, Essam M. Abulwafa

Publication date: 21 May 2003

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-4371(02)02026-5

zbMATH Keywords

\(H\)-functionsanomalous diffusionexternal fields

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Transport processes in time-dependent statistical mechanics (82C70)

Related Items (10)

Fractional (space--time) diffusion equation on comb-like model ⋮ Numerical treatment of stochastic models used in statistical systems and financial markets ⋮ Exact solution and invariant for fractional Cattaneo anomalous diffusion of cells in two-dimensional comb framework ⋮ Solutions for a non-Markovian diffusion equation ⋮ Anomalous convection diffusion and wave coupling transport of cells on comb frame with fractional Cattaneo-Christov flux ⋮ Random walks on comb-type subsets of \(\mathbb{Z}^2\) ⋮ Numerical solutions of time fractional degenerate parabolic equations by variational iteration method with Jumarie-modified Riemann-Liouville derivative ⋮ On the local time of random walk on the 2-dimensional comb ⋮ Implicit numerical approximation scheme for the fractional Fokker-Planck equation ⋮ On a fractional model for earthquakes

Cites Work

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• The Fokker-Planck equation. Methods of solution and applications.
• Fractional diffusion and wave equations
• On the Relation between Master Equations and Random Walks and Their Solutions
• Fractional representation of Fokker-Planck equation.
• The diffusion-drift equation on comb-like structure
• The random walk's guide to anomalous diffusion: A fractional dynamics approach
• Handbook of stochastic methods for physics, chemistry and natural sciences.

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