  Uchaikin suggested a mathematical model of an anomalous diffusion in a space
was suggested. This model origins in an investigation of processes in complex
systems with variable structure: glasses, liquid crystals, biopolymers,
proteins and etc.
  In this model a coordinate of a particle has stable distribution (not normal
one). As a result a density of its distribution function satisfies an analog of
diffusion equation in which second derivative by coordinate is replaced by
partial derivative.
  In this paper the anomalous diffusion with periodic initial conditions on an
interval with reflecting edges is considered. Such problem is important for
example in technical mechanics for an analysis of fuel mixing in straight flow
engine too. As A.A. Borovkov suggested special probability methods are
developed to analyze such a diffusion.
