Blind in a commutative world: simple illustrations with functions and chaotic attractors

From MaRDI portal
Publication:2000351

DOI10.1016/j.chaos.2018.07.022zbMath1415.34009OpenAlexW2886150059WikidataQ57259126 ScholiaQ57259126MaRDI QIDQ2000351

Abdon Atangana

Publication date: 28 June 2019

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2018.07.022




Related Items (70)

Dynamics of a fractional order mathematical model for COVID-19 epidemicAnalysis of dengue model with fractal-fractional Caputo-Fabrizio operatorDynamics of COVID-19 mathematical model with stochastic perturbationDynamical study of fractional order mutualism parasitism food web moduleNumerical study of nonlinear 2D optimal control problems with multi-term variable-order fractional derivatives in the Atangana-Baleanu-Caputo senseDynamics of multi-pulse splitting process in one-dimensional Gray-Scott system with fractional order operatorRole of fractal-fractional derivative on ferromagnetic fluid via fractal Laplace transform: a first problem via fractal-fractional differential operatorSynchronization patterns with strong memory adaptive control in networks of coupled neurons with chimera states dynamicsNumerical analysis of a new Volterra integro-differential equation involving fractal-fractional operatorsChebyshev cardinal functions for a new class of nonlinear optimal control problems generated by Atangana-Baleanu-Caputo variable-order fractional derivativeCoexistence of multi-scroll chaotic attractors for fractional systems with exponential law and non-singular kernelNumerical analysis of pantograph differential equation of the stretched type associated with fractal-fractional derivatives via fractional order Legendre waveletsNumerical solution for generalized nonlinear fractional integro-differential equations with linear functional arguments using Chebyshev seriesExistence theory and approximate solution to prey-predator coupled system involving nonsingular kernel type derivativeA fractional system of delay differential equation with nonsingular kernels in modeling hand-foot-mouth diseaseStochastic mathematical model for the spread and control of corona virusA discussion on the existence of positive solutions of the boundary value problems via \(\psi\)-Hilfer fractional derivative on \(b\)-metric spacesModelling of transmission dynamics of Nipah virus (Niv): a fractional order approachCrowding effects on the dynamics of COVID-19 mathematical modelOn approximate solutions for a fractional prey-predator model involving the Atangana-Baleanu derivativeStability analysis for fractional order advection-reaction diffusion systemFundamental solutions of the fractional Fresnel equation in the real half-lineAnalytic solution for oxygen diffusion from capillary to tissues involving external force effects: a fractional calculus approachSpatiotemporal patterns in the Belousov-Zhabotinskii reaction systems with Atangana-Baleanu fractional order derivativeMathematical modelling and analysis of Love dynamics: a fractional approachFractional Kuramoto-Sivashinsky equation with power law and stretched Mittag-Leffler kernelA fractional-order model with different strains of COVID-19Design of a high-gain observer for the synchronization of chimera states in neurons coupled with fractional dynamicsDynamics of a stochastic COVID-19 epidemic model with jump-diffusionNew coincidence point results for generalized graph-preserving multivalued mappings with applicationsTwo-dimensional Gegenbauer wavelets for the numerical solution of tempered fractional model of the nonlinear Klein-Gordon equationFractional calculus and applications of family of extended generalized Gauss hypergeometric functionsMathematical modeling approach to the fractional Bergman's modelExistence theory and numerical simulation of HIV-I cure model with new fractional derivative possessing a non-singular kernelNUMERICAL ANALYSIS OF NEWLY DEVELOPED FRACTAL-FRACTIONAL MODEL OF CASSON FLUID WITH EXPONENTIAL MEMORYA Caputo-Fabrizio fractional differential equation model for HIV/AIDS with treatment compartmentExistence theorems for (Ψ,Φ)-orthogonal interpolative contractions and an application to fractional differential equationsAnalytical and numerical study of the HIV‐1 infection of CD4+ T‐cells conformable fractional mathematical model that causes acquired immunodeficiency syndrome with the effect of antiviral drug therapyNumerical analysis of polio model: A mathematical approach to epidemiological model using derivative with Mittag–Leffler KernelFractional‐order Chebyshev wavelet method for variable‐order fractional optimal control problemsFractional hyper-chaotic model with no equilibriumNumerical analysis of dissipative system with noise model with the Atangana-Baleanu fractional derivativeCauchy and source problems for an advection-diffusion equation with Atangana-Baleanu derivative on the real lineModeling and simulation of nonlinear dynamical system in the frame of nonlocal and non-singular derivativesOn the dynamics of fractional maps with power-law, exponential decay and Mittag-Leffler memoryMeshfree moving least squares method for nonlinear variable-order time fractional 2D telegraph equation involving Mittag-Leffler non-singular kernelLegendre wavelets for the numerical solution of nonlinear variable-order time fractional 2D reaction-diffusion equation involving Mittag-Leffler non-singular kernelStability analysis and numerical solutions of fractional order HIV/AIDS modelA novel method to solve variable-order fractional delay differential equations based in Lagrange interpolationsExistence and Hyers-Ulam stability for three-point boundary value problems with Riemann-Liouville fractional derivatives and integralsNew idea of Atangana and Baleanu fractional derivatives to human blood flow in nanofluidsCapturing complexities with composite operator and differential operators with non-singular kernelStability analysis of fractional-order linear system with time delay described by the Caputo-fabrizio derivativeUlam-Hyers-Mittag-Leffler stability of fractional difference equations with delayPure traveling wave solutions for three nonlinear fractional modelsA fractional-order model for zika virus infection with multiple delaysOn the New Fractional Operator and Application to Nonlinear Bloch SystemNumerical Techniques for Fractional Competition Dynamics with Power-, Exponential- and Mittag-Leffler LawsNumerical solution of nonlinear 2D optimal control problems generated by Atangana-Riemann-Liouville fractal-fractional derivativeResponse functions in linear viscoelastic constitutive equations and related fractional operatorsFPGA implementation and control of chaotic systems involving the variable-order fractional operator with Mittag-Leffler lawOn the solutions of fractional-time wave equation with memory effect involving operators with regular kernelNumerical Simulation of Nonlinear Ecological Models with Nonlocal and Nonsingular Fractional DerivativeNumerical investigation of the variable-order fractional Sobolev equation with non-singular Mittag-Leffler kernel by finite difference and local discontinuous Galerkin methodsOn fractional integro-differential inclusions via the extended fractional Caputo-Fabrizio derivationNew existence results on nonlocal neutral fractional differential equation in concepts of Caputo derivative with impulsive conditionsNUMERICAL TREATMENT OF THE SPACE–TIME FRACTAL–FRACTIONAL MODEL OF NONLINEAR ADVECTION–DIFFUSION–REACTION EQUATION THROUGH THE BERNSTEIN POLYNOMIALSTHE NUMERICAL TREATMENT OF NONLINEAR FRACTAL–FRACTIONAL 2D EMDEN–FOWLER EQUATION UTILIZING 2D CHELYSHKOV POLYNOMIALSA discussion on a generalized Geraghty multi-valued mappings and applicationsApproximate solutions for dark and singular optical solitons of Chen-Lee-Liu model by Adomian-based methods



Cites Work


This page was built for publication: Blind in a commutative world: simple illustrations with functions and chaotic attractors