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KIAM Preprint ¹ 93, Moscow, 2021
Authors: Zenyuk D.A., Malinetskii G.G.
Amplitude equation formalism for reaction—subdiffusion systems
Abstract:
The paper presents derivation of the amplitude equation for the Hopf bifurcation in the two-component system with nonlinear chemical kinetics and subdiffusion. Anomalous diffusion transport is described via Caputo fractional derivatives. The obtained amplitude equation is much more complex compared to the case of normal diffusion because solutions of fractional order linear differential equations have inconvenient behavior.
Keywords:
fractional calculus, asymptotic methods, subdiffusion
Publication language: russian,  pages: 15
Research direction:
Mathematical modelling in actual problems of science and technics
Russian source text:
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About authors:
  • Zenyuk Dmitry Alexeevich,  orcid.org/0000-0003-3383-6878KIAM RAS
  • Malinetskii Georgii Gennadyevich,  orcid.org/0000-0001-6041-1926KIAM RAS