Journal
MATHEMATICAL MODELLING OF NATURAL PHENOMENA
Volume 11, Issue 1, Pages 26-36Publisher
EDP SCIENCES S A
DOI: 10.1051/mmnp/201611102
Keywords
subdiffusion; reactions; fractional derivatives; patterns
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Funding
- Israel Science Foundation [680/10]
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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.
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