General solution of a fractional diffusion-advection equation for solar cosmic-ray transport

DOI10.1016/j.physa.2015.12.027zbMath1400.35224arXiv1412.0255OpenAlexW2962947538MaRDI QIDQ1619200

A. de Paoli, Angel Ricardo Plastino, Angel Plastino, Gustavo L. Ferri, Mario C. Rocca

Publication date: 13 November 2018

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

Full work available at URL: https://arxiv.org/abs/1412.0255

zbMATH Keywords

diffusiondistributionsheliospherecosmic raysSun

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Radiative transfer in astronomy and astrophysics (85A25) Fractional partial differential equations (35R11)

Related Items (6)

Fractional diffusion equations coupled by reaction terms ⋮ Analytical solutions of the space-time fractional telegraph and advection-diffusion equations ⋮ Analytical solution of the space-time fractional hyperdiffusion equation ⋮ A comparative analysis of fractional space-time advection-dispersion equation via semi-analytical methods ⋮ Natural transform Along with HPM technique for solving fractional ADE ⋮ Solutions for a mass transfer process governed by fractional diffusion equations with reaction terms

Cites Work

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• New solution of diffusion-advection equation for cosmic-ray transport using ultradistributions
• The space-fractional diffusion-advection equation: analytical solutions and critical assessment of numerical solutions
• Fractional diffusion equation, boundary conditions and surface effects
• Fractional kinetic equations: solutions and applications
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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