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On fractional differential models for cosmic ray diffusion

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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.

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Authors and Affiliations

  1. Ulyanovsk State University, Ulyanovsk, Russia

    V. V. Uchaikin & R. T. Sibatov

Authors
  1. V. V. Uchaikin
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  2. R. T. Sibatov
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Correspondence to V. V. Uchaikin.

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Talk given at the International Conference RUSGRAV-14, June 27–July 4, 2011, Ulyanovsk, Russia.

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Uchaikin, V.V., Sibatov, R.T. On fractional differential models for cosmic ray diffusion. Gravit. Cosmol. 18, 122–126 (2012). https://doi.org/10.1134/S0202289312020132

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  • DOI: https://doi.org/10.1134/S0202289312020132

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