Normal diffusion in a medium connected to a subdiffusive medium with absorption

摘要

We present a model of diffusion in a system consisting of a medium A, in which normal diffusion occurs, connected to a subdiffusive medium B in which absorption of diffusing particles may take place. Diffusion in B is described by the subdiffusion-absorption equation with a fractional time derivative. Solutions to equations are obtained for a specific boundary condition at the border between media. Based on the obtained results we briefly discuss the opportunity to experimentally determine whether absorption is taking place in the medium B if measurement of particles' concentration is possible in the medium A only.