Anomalous diffusion with ballistic scaling: a new fractional derivative

DOI10.1016/j.cam.2017.11.012OpenAlexW2768579618MaRDI QIDQ1748171

James F. Kelly, Mark M. Meerschaert, Cheng-Gang Li

Publication date: 9 May 2018

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

Full work available at URL: https://doi.org/10.1016/j.cam.2017.11.012

zbMATH Keywords

fractional calculusstable distributionsanomalous diffusionRiesz derivativeLévy motion

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Fractional derivatives and integrals (26A33) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Research exposition (monographs, survey articles) pertaining to probability theory (60-02) Fractional partial differential equations (35R11)

Related Items (3)

Anisotropic Nonlocal Diffusion Operators for Normal and Anomalous Dynamics ⋮ What is the fractional Laplacian? A comparative review with new results ⋮ Semi-fractional diffusion equations

Uses Software

• STABLE

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