Lattice Dynamical Systems Associated with a Fractional Laplacian
type: Item
instance of: scholarly article
title: Lattice Dynamical Systems Associated with a Fractional Laplacian
zbMATH Open document ID: 1417.49031
DOI: 10.1080/01630563.2019.1602542
author: Valentin Keyantuo
author: Carlos Lizama
author: Mahamadi Warma
published in: Numerical Functional Analysis and Optimization
publication date: 2019-06-12T00:00:00Z
Mathematics Subject Classification ID: 49K40
Mathematics Subject Classification ID: 34K31
Mathematics Subject Classification ID: 47D07
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 7065342
zbMATH Keywords: lattice dynamical systems
zbMATH Keywords: discrete fractional Laplacian
zbMATH Keywords: optimal well-posedness
zbMATH Keywords: fractional discrete Fisher and Newell-Whitehead-Segel equations
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1080/01630563.2019.1602542
OpenAlex ID: W2941646567
cites work: The Fisher-KPP Equation with Nonlinear Fractional Diffusion
cites work: Lotka–Volterra models with fractional diffusion
cites work: Spatial dynamics for lattice differential equations with a shifting habitat
cites work: Stochastic models for fractional calculus
cites work: Traveling wavefronts for the discrete Fisher's equation
cites work: Numerical optimization of low eigenvalues of the Dirichlet and Neumann laplacians
cites work: Controllability results for nonlinear fractional-order dynamical systems
cites work: Some simple differential difference equations and the related functions
cites work: The control of an elastic fluid
cites work: Wave solutions for a discrete reaction-diffusion equation
cites work: The global structure of traveling waves in spatially discrete dynamical systems
cites work: On Gronwall's Inequality
cites work: Propagation and Its Failure in Coupled Systems of Discrete Excitable Cells
cites work: On the formation of circulating patterns of excitation in anisotropic excitable media
cites work: Existence of traveling wavefront solutions for the discrete Nagumo equation
cites work: Fourier spectral methods for fractional-in-space reaction-diffusion equations
cites work: A semi-alternating direction method for a 2-D fractional Fitzhugh-Nagumo monodomain model on an approximate irregular domain
cites work: Harmonic analysis associated with a discrete Laplacian
cites work: On a connection between the discrete fractional Laplacian and superdiffusion
cites work: Nonlocal discrete diffusion equations and the fractional discrete Laplacian, regularity and applications
cites work: The fractional Keller–Segel model
cites work: Cauchy problems for Keller-Segel type time-space fractional diffusion equation
cites work: Blowup of solutions to generalized Keller-Segel model
cites work: Hölder-Lebesgue regularity and almost periodicity for semidiscrete equations with a fractional Laplacian
cites work: Censored stable processes
cites work: Exact discretization of fractional Laplacian
cites work: Fractional-order difference equations for physical lattices and some applications
cites work: Riesz potential operators and inverses via fractional centred derivatives
cites work: Crank-Nicolson method for the fractional diffusion equation with the Riesz fractional derivative
cites work: Q5531981
cites work: A subordination principle on Wright functions and regularized resolvent families
cites work: Q4438451
cites work: Mittag-Leffler Functions, Related Topics and Applications
cites work: The fundamental solution of the space-time fractional diffusion equation
cites work: Q4465053
cites work: Q3084090
cites work: Spectral criteria for solvability of boundary value problems and positivity of solutions of time-fractional differential equations
cites work: Existence, regularity and representation of solutions of time fractional diffusion equations
cites work: Threshold behavior and propagation for nonlinear differential-difference systems motivated by modeling myelinated axons
cites work: The spectral matrices of Toda solitons and the fundamental solution of some discrete heat equations.
cites work: Finite bandwidth, finite amplitude convection
cites work: Distant side-walls cause slow amplitude modulation of cellular convection
Wikidata QID: Q128029106
Recommended article: Lattice dynamical systems
Recommended article: Q4440650
Recommended article: Q3656639
Recommended article: DYNAMICS OF LATTICE DIFFERENTIAL EQUATIONS
Recommended article: Stochastic Lattice Dynamical Systems with Fractional Noise
Recommended article: Lattice operators underlying dynamic systems
Recommended article: Q4232664
Recommended article: Fractional Liouville equation on lattice phase-space
Recommended article: Dynamical lattice systems
Recommended article: Dissipative lattice dynamical systems
description: scientific article; zbMATH DE number 7065342