On the existence of traveling fronts in the fractional-order amari neural field model
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Publication:2094413
DOI10.1016/J.CNSNS.2022.106790OpenAlexW4301428604MaRDI QIDQ2094413
Publication date: 28 October 2022
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.2022.106790
Neural biology (92C20) Fractional derivatives and integrals (26A33) Traveling wave solutions (35C07)
Cites Work
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- Surpassing the fractional derivative: concept of the memory-dependent derivative
- Fractional dynamics and the standard model for particle physics
- Solitary travelling auto-waves in fractional reaction-diffusion systems
- On systems of linear fractional differential equations with constant coefficients
- A mathematical model of dengue transmission with memory
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Dynamics of pattern formation in lateral-inhibition type neural fields
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Generalized seizures in a neural field model with bursting dynamics
- Front dynamics in fractional-order epidemic models
- Dynamic stability analysis of fractional order leaky integrator echo state neural networks
- A 3D model for rain-induced landslides based on molecular dynamics with fractal and fractional water diffusion
- The role of fractional calculus in modeling biological phenomena: a review
- On numerical approximations of fractional-order spiking neuron models
- Spiking and bursting patterns of fractional-order Izhikevich model
- A new collection of real world applications of fractional calculus in science and engineering
- Anomalous diffusion and sorption-desorption process in complex fluid systems
- Abundant bursting patterns of a fractional-order Morris-Lecar neuron model
- Stochastic calculus for fractional Brownian motion and related processes.
- Spatially Structured Activity in Synaptically Coupled Neuronal Networks: II. Lateral Inhibition and Standing Pulses
- Spatiotemporal dynamics of continuum neural fields
- Fronts in subdiffusive FitzHugh–Nagumo systems
- Advances in Fractional Calculus
- Neural Fields
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