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Gravitation and Cosmology

, Volume 18, Issue 2, pp 122–126 | Cite as

On fractional differential models for cosmic ray diffusion

  • V. V. UchaikinEmail author
  • R. T. Sibatov
Article

Abstract

We consider a model of anomalous cosmic ray diffusion with a finite velocity of free particle motion. Inclusion of the finite velocity substantially modifies the anomalous diffusion equation and its solutions. The propagator in the one-dimensional version of the model is presented in an analytic form. The three-dimensional case is considered numerically. The observed differences are discussed.

Keywords

Material Derivative Ballistic Restriction Finite Velocity Fractional Derivative Model Fractional Kinetic Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Pleiades Publishing, Ltd. 2012

Authors and Affiliations

  1. 1.Ulyanovsk State UniversityUlyanovskRussia

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