Solutions for a non-Markovian diffusion equation

DOI10.1016/j.physleta.2010.08.049zbMath1238.82022OpenAlexW1992752755MaRDI QIDQ418495

H. V. Ribeiro, Marcelo K. Lenzi, Edmundo Capelas de Oliveira, Luiz R. Evangelista, Ervin Kaminski Lenzi

Publication date: 29 May 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2010.08.049

zbMATH Keywords

anomalous diffusionnon-Markovianfractional diffusion equation

Mathematics Subject Classification ID

Fractional processes, including fractional Brownian motion (60G22) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24) Fractional partial differential equations (35R11)

Related Items (4)

Nonlocal transport processes and the fractional Cattaneo-Vernotte equation ⋮ Space–time fractional diffusion equations in d-dimensions ⋮ Solutions for a fractional diffusion equation in heterogeneous media ⋮ Fractional Schrödinger equation for heterogeneous media and Lévy like distributions

Cites Work

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• Time-fractional Diffusion of Distributed Order
• On some fractional Green’s functions
• Anomalous diffusion: Fractional Fokker–Planck equation and its solutions
• Linear response characteristics in time-dependent subdiffusive fractional Fokker–Planck equations
• Handbook of stochastic methods for physics, chemistry and the natural sciences.
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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