Fractional phenomenology of cosmic ray anomalous diffusion
V.V. Uchaikin Ul'yanovsk State University, ul. L. Tolstogo 42, Ulyanovsk, 432700, Russian Federation
Evolution of the cosmic ray diffusion concept from the ordinary (Einstein) model of Brownian motion to the fractional models that
appeared in the last decade is reviewed. The mathematical and physical foundations of these models are discussed, as are their
consequences, associated problems and prospects for further development.