摘要

We consider boundary value problems for a subdiffusion-degradation problem within an approach based on reaction-subdiffusion equations derived earlier. Thus, boundary value problems for subdiffusion with degradation can be solved within the Green functions approach, where the new Green functions have the structure of a product of the Green functions for mere subdiffusion with an exponential. Although the equations with non-decoupling reaction and transport appear complicated at first glance, it turns out that the methods for the solution of the corresponding linear reaction-diffusion equations can easily be adopted to the anomalous case. In particular, the solutions can be expressed in terms of solutions to the problem without degradation.

  • 出版日期2010-5