Complex spatio-temporal solutions in fractional reaction-diffusion systems near a bifurcation point

DOI10.1515/FCA-2018-0015zbMath1390.35149OpenAlexW2797438349MaRDI QIDQ1647905

Bohdan Datsko, V. V. Gafiychuk

Publication date: 27 June 2018

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/fca-2018-0015

zbMATH Keywords

nonlinear dynamicspattern formationfractional differential equationssubcritical bifurcationauto-wave solutionfractional reaction-diffusion system

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Initial-boundary value problems for mixed-type systems of PDEs (35M33)

Related Items (8)

Novel patterns in a class of fractional reaction-diffusion models with the Riesz fractional derivative ⋮ Invariant subspace method and exact solutions of the coupled system of time-fractional convection-reaction-diffusion equations ⋮ On the existence and uniqueness of solution to fractional-order Langevin equation ⋮ Stability Analysis and Parameter Classification of a Reaction-Diffusion Model on an Annulus ⋮ Mathematical modelling of pattern formation in activator-inhibitor reaction-diffusion systems with anomalous diffusion ⋮ Complex Dynamics in Basic Two-Component Auto-Oscillation Systems with Fractional Derivatives of Different Orders ⋮ Time-optimal control of linear fractional systems with variable coefficients ⋮ Design and analysis of a dissipative scheme to solve a generalized multi-dimensional Higgs boson equation in the de Sitter space-time

Uses Software

• sysdfod
• DFOC

Cites Work

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