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


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.


Material Derivative Ballistic Restriction Finite Velocity Fractional Derivative Model Fractional Kinetic Equation 
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Copyright information

© Pleiades Publishing, Ltd. 2012

Authors and Affiliations

  1. 1.Ulyanovsk State UniversityUlyanovskRussia

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