| Issue |
Math. Model. Nat. Phenom.
Volume 11, Number 3, 2016
Anomalous diffusion
|
|
|---|---|---|
| Page(s) | 128 - 141 | |
| DOI | https://doi.org/10.1051/mmnp/201611308 | |
| Published online | 21 June 2016 | |
Subdiffusion–Absorption Process in a System with a Thin Membrane
1 Institute of Physics, Jan Kochanowski
University, ul. Świȩtokrzyska
15, 25-406
Kielce,
Poland
2 Department of Radiological
Informatics and Statistics, Medical University of Gdańsk, ul. Tuwima 15, 80-210
Gdańsk,
Poland
⋆ Corresponding author. E-mail: tadeusz.kosztolowicz@ujk.edu.pl
We study a subdiffusion–absorption process which takes place in a system with a thin membrane. We present the method of deriving the Green’s functions (probability densities) describing the process. Within this method we consider a particle’s random walk in a system with both a discrete time and space variable. Then, we move from a discrete system to a continuous system by means of the procedures which are presented in this paper.
Mathematics Subject Classification: 60J60 / 60K40 / 35J08
Key words: subdiffusion–absorption process / random walk / membrane system
© EDP Sciences, 2016
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