Math. Model. Nat. Phenom.
Volume 11, Number 1, 2016Reviews in mathematical modelling
|Page(s)||26 - 36|
|Published online||03 December 2015|
Mathematical Modelling of Subdiffusion-reaction Systems
Department of Mathematics, Technion – Israel
Institute of Technology, 32000
⋆ Corresponding author. E-mail:
A review of recent developments in the theoretical description and mathematical modelling of subdiffusion-reaction systems is presented. A number of subdiffusion-reaction models are discussed, including models of subdiffusion-limited reactions and models with intertwined subdiffusion and reaction operators. Specific features of the instability development and pattern formation are discussed. Some applications of subdiffusion-reaction models to specific natural problems are mentioned.
Mathematics Subject Classification: 35K57 / 35R11 / 60J60 / 82C70
Key words: subdiffusion / reactions / fractional derivatives / patterns
© EDP Sciences, 2016
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