Geodesic
Subdiffusion–Absorption Process in a System with a Thin Membrane
T. Kosztołowicz1 ; K. D. Lewandowska2
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
Mathematical modelling of natural phenomena, Tome 11 (2016) no. 3, pp. 128-141.

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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.
DOI : 10.1051/mmnp/201611308

T. Kosztołowicz 1 ; K. D. Lewandowska 2

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 
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T. Kosztołowicz; K. D. Lewandowska. Subdiffusion–Absorption Process in a System with a Thin Membrane. Mathematical modelling of natural phenomena, Tome 11 (2016) no. 3, pp. 128-141. doi : 10.1051/mmnp/201611308. https://geodesic-test.mathdoc.fr/articles/10.1051/mmnp/201611308/

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