On the existence of traveling fronts in the fractional-order amari neural field model
type: Item
instance of: scholarly article
title: On the existence of traveling fronts in the fractional-order amari neural field model
author: L. Rocío González-Ramírez
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2022-10-28T00:00:00Z
Mathematics Subject Classification ID: 92C20
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 35C07
zbMATH DE Number: 7609329
zbMATH Keywords: fractional-order derivative
zbMATH Keywords: Amari model
zbMATH Keywords: traveling fronts
zbMATH Keywords: Caputo derivative
zbMATH Keywords: neural fields
MaRDI profile type: Publication
full work available at URL: j.cnsns.2022.106790
OpenAlex ID: W4301428604
cites work: Dynamics of pattern formation in lateral-inhibition type neural fields
cites work: Spatiotemporal dynamics of continuum neural fields
cites work: The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
cites work: Q4438574
cites work: Stochastic calculus for fractional Brownian motion and related processes.
cites work: Surpassing the fractional derivative: concept of the memory-dependent derivative
cites work: A 3D model for rain-induced landslides based on molecular dynamics with fractal and fractional water diffusion
cites work: Fractional dynamics and the standard model for particle physics
cites work: Advances in Fractional Calculus
cites work: A mathematical model of dengue transmission with memory
cites work: A new collection of real world applications of fractional calculus in science and engineering
cites work: The role of fractional calculus in modeling biological phenomena: a review
cites work: Spiking and bursting patterns of fractional-order Izhikevich model
cites work: Fronts in subdiffusive FitzHugh–Nagumo systems
cites work: Abundant bursting patterns of a fractional-order Morris-Lecar neuron model
cites work: Dynamic stability analysis of fractional order leaky integrator echo state neural networks
cites work: On numerical approximations of fractional-order spiking neuron models
cites work: Neural Fields
cites work: Spatially structured activity in synaptically coupled neuronal networks. II: Lateral inhibition and standing pulses
cites work: Generalized seizures in a neural field model with bursting dynamics
cites work: On systems of linear fractional differential equations with constant coefficients
cites work: Q4059124
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: Front dynamics in fractional-order epidemic models
cites work: Anomalous diffusion and sorption-desorption process in complex fluid systems
cites work: Solitary travelling auto-waves in fractional reaction-diffusion systems
DOI: 10.1016/J.CNSNS.2022.106790
Recommended article: Existence and Stability of Traveling Fronts in a Lateral Inhibition Neural Network
Recommended article: Traveling fronts for lattice neural field equations
Recommended article: Existence and Uniqueness of Traveling Fronts in Lateral Inhibition Neural Fields with Sigmoidal Firing Rates
Recommended article: Existence of wave front solutions of an integral differential equation in nonlinear nonlocal neuronal network
Recommended article: Finite-size effects on traveling wave solutions to neural field equations
Recommended article: Travelling waves in a neural field model with refractoriness
Recommended article: Existence and stability of traveling pulses in a neural field equation with synaptic depression
Recommended article: Traveling waves of a singularly perturbed system of integral-differential equations arising from neuronal networks
Recommended article: A general framework for stochastic traveling waves and patterns, with application to neural field equations
Recommended article: A note on traveling fronts and pulses in a firing rate model of a neuronal network
description: scientific article; zbMATH DE number 7609329