Cosmic ray propagators in the fractional differential model of bounded   anomalous diffusion
  Fractional differential approach to cosmic ray physics problems is discussed. A short review in this field is given, some results are represented, analyzed and criticized. A new model called the bounded anomalous diffusion model is offered. Its equation includes the fractional material derivative which allows to take into account the finite speed of cosmic rays particles. 
Vladimir V. Uchaikin, Renat T. Sibatov
astro-ph.GA