Two Models of Subdiffusion Processes: When Are They Similar?

DOI10.1007/978-3-319-06923-4_23zbMath1325.60129OpenAlexW150265680MaRDI QIDQ5265323

Tadeusz Kosztołowicz, Katarzyna D. Lewandowska

Publication date: 23 July 2015

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-06923-4_23

zbMATH Keywords

fractional derivativecontinuous-time random walksubdiffusionnonadditive entropy

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Fractional derivatives and integrals (26A33) Diffusion processes (60J60)

Cites Work

• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Exact time-dependent solutions of the Rényi Fokker-Planck equation and the Fokker-Planck equations related to the entropies proposed by Sharma and Mittal
• The Langevin and Fokker-Planck equations in the framework of a generalized statistical mechanics
• Nonlinear Fokker-Planck equations. Fundamentals and applications.
• Introduction to Nonextensive Statistical Mechanics
• Phase-space diffusion in a system with a partially permeable wall
• From the solutions of diffusion equation to the solutions of subdiffusive one
• The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
• A Langevin approach for the microscopic dynamics of nonlinear Fokker-Planck equations
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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