An analytical study of fractional Klein-Kramers approximations for describing anomalous diffusion of energetic particles

DOI10.1007/S10955-018-2211-XzbMath1409.35229OpenAlexW2904102694WikidataQ128720924 ScholiaQ128720924MaRDI QIDQ1731010

Reinhard Schlickeiser, Horst Fichtner, Ashraf M. Tawfik, Atalla M. Elhanbaly

Publication date: 6 March 2019

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-018-2211-x

zbMATH Keywords

fractional calculusanomalous diffusionenergetic particles

Mathematics Subject Classification ID

Statistical mechanics of plasmas (82D10) Fractional partial differential equations (35R11) Fokker-Planck equations (35Q84)

Related Items (5)

On the correlation between kappa and Lévy stable distributions ⋮ Analytical solution of the space-time fractional hyperdiffusion equation ⋮ Exact solutions of the fractional time‐derivative Fokker–Planck equation: A novel approach ⋮ Positivity preserving schemes for the fractional Klein-Kramers equation with boundaries ⋮ An analytical study of fractional Klein-Kramers approximations for describing anomalous diffusion of energetic particles

Cites Work

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• Solutions of the space-time fractional Cattaneo diffusion equation
• The Fokker-Planck equation. Methods of solution and applications.
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Anomalous diffusion in nonhomogeneous media: power spectral density of signals generated by time-subordinated nonlinear Langevin equations
• An analytical study of fractional Klein-Kramers approximations for describing anomalous diffusion of energetic particles
• Analytical solutions of the space-time fractional telegraph and advection-diffusion equations
• Analytical solution of the space-time fractional hyperdiffusion equation
• The space-fractional diffusion-advection equation: analytical solutions and critical assessment of numerical solutions
• Time fractional IHCP with Caputo fractional derivatives
• The H-Function
• Generalized Klein–Kramers equation: solution and application
• Fractional kinetic equations: solutions and applications
• A new theory for perpendicular transport of cosmic rays
• Mittag-Leffler Functions, Related Topics and Applications
• The Connection between the Smoluchowski Equation and the Kramers-Chandrasekhar Equation
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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