Model of Subdiffusion–Absorption Process in a Membrane System Consisting of Two Different Media

摘要

We consider the subdiffusion–absorption process in a system whichconsists of two different media separated by a thin membrane. The processis described by the subdiffusion–absorption equations with fractionalRiemann–Liouville time derivative. We present the method of derivingthe probabilities (Green’s functions) of described particle’s random walkin the system. Within the method, we firstly consider the random walkof a particle in a system with both discrete time and space variables, andthen we pass from discrete to continuous variables by means of the procedurepresented in this paper. Using Green’s functions, we derive boundaryconditions at the membrane.