On fractional differential models for cosmic ray diffusion

V.V. Uchaikin and R.T. Sibatov1

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 a one-dimensional model is presented in an analytic form while in the three-dimensional case numerical results have been obtained. The propagators in models with restricted and unrestricted anomalous diffusion are compared.

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