Asymptotic Green's functions for time-fractional diffusion equation and their application for anomalous diffusion problem

DOI10.1016/J.PHYSA.2017.02.015zbMath1400.35228OpenAlexW2588852534MaRDI QIDQ1620620

Alexey A. Zhokh, Andrey I. Trypolskyi, Peter E. Strizhak

Publication date: 13 November 2018

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

Full work available at URL: https://doi.org/10.1016/j.physa.2017.02.015

zbMATH Keywords

anomalous diffusiontime-fractional diffusionasymptotic Green's function

Mathematics Subject Classification ID

Transport processes in time-dependent statistical mechanics (82C70) Fractional partial differential equations (35R11)

Related Items (3)

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Uses Software

• Adaptative L1 TE and Predictive

Cites Work

• On Riemann-Liouville and Caputo derivatives
• Mittag-Leffler functions and their applications
• A second-order accurate numerical method for the two-dimensional fractional diffusion equation
• Weighted average finite difference methods for fractional diffusion equations
• The space-time fractional diffusion equation with Caputo derivatives
• Rational Solutions for the Time-Fractional Diffusion Equation
• The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
• Fast, accurate and robust adaptive finite difference methods for fractional diffusion equations

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