Solitary travelling auto-waves in fractional reaction-diffusion systems

DOI10.1016/j.cnsns.2014.10.028zbMath1440.35341OpenAlexW2082901087MaRDI QIDQ727099

Igor Podlubny, Bohdan Datsko, V. V. Gafiychuk

Publication date: 6 December 2016

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2014.10.028

zbMATH Keywords

instabilityreaction-diffusion systemdissipative systemsfractional differential equationsself-organisationsolitary auto-wave

Mathematics Subject Classification ID

Neural biology (92C20) Traveling wave solutions (35C07) Soliton solutions (35C08) Fractional partial differential equations (35R11)

Related Items (11)

Complex spatio-temporal solutions in fractional reaction-diffusion systems near a bifurcation point ⋮ Novel patterns in a class of fractional reaction-diffusion models with the Riesz fractional derivative ⋮ Time-fractional heat conduction in an infinite plane containing an external crack under heat flux loading ⋮ Asymptotic stability conditions for autonomous time-fractional reaction-diffusion systems ⋮ An exponential B-spline collocation method for the fractional sub-diffusion equation ⋮ On a method of solution of systems of fractional pseudo-differential equations ⋮ Fronts in subdiffusive FitzHugh–Nagumo systems ⋮ Mathematical modelling of pattern formation in activator-inhibitor reaction-diffusion systems with anomalous diffusion ⋮ Fractional thermoelasticity problem for an infinite solid with a penny-shaped crack under prescribed heat flux across its surfaces ⋮ Time-fractional heat conduction in a plane with two external half-infinite line slits under heat flux loading ⋮ On the existence of traveling fronts in the fractional-order amari neural field model

Uses Software

• sysdfod
• DFOC

Cites Work

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