Geodesic
Linear stability analysis for reaction–subdiffusion system of mixed order
Matematičeskoe modelirovanie, Tome 33 (2021) no. 10, pp. 39-50

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The paper investigates behavior of two-component medium with subdiffusion transport and nonlinear chemical kinetics. Such system can be formally represented as coupled differential equations with Caputo derivatives of mixed order. It is shown by means of linear stability analysis that the interplay between derivative orders have a crucial impact on pattern selection. A new type of bifurcation, which is unobservable in analogous systems with standard derivatives, is demonstrated. These derivations are accompanied by direct numerical simulation.
Mots-clés : anomalous diffusion
Keywords: Turing patterns, Mittag–Leffler functions. 
@article{MM_2021_33_10_a2,
     author = {D. A. Zenyuk and G. G. Malinetsky},
     title = {Linear stability analysis for reaction{\textendash}subdiffusion system of mixed order},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {39--50},
     publisher = {mathdoc},
     volume = {33},
     number = {10},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2021_33_10_a2/}
}
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D. A. Zenyuk; G. G. Malinetsky. Linear stability analysis for reaction–subdiffusion system of mixed order. Matematičeskoe modelirovanie, Tome 33 (2021) no. 10, pp. 39-50. http://geodesic.mathdoc.fr/item/MM_2021_33_10_a2/