Similarities in a fifth-order evolution equation with and with no singular kernel

DOI10.1016/j.chaos.2019.109467zbMath1489.35297OpenAlexW2980170422WikidataQ127154991 ScholiaQ127154991MaRDI QIDQ2122439

Emile Franc Doungmo Goufo, Sunil Kumar, S. B. Mugisha

Publication date: 6 April 2022

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2019.109467

zbMATH Keywords

stability nonlinear model fixed-point numerical approximations fractional Kaup-Kupershmidt model

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Fractional partial differential equations (35R11)

Related Items (76)

A study of behaviour for immune and tumor cells in immunogenetic tumour model with non-singular fractional derivative ⋮ On fractional predator and prey models with mutualistic predation including non-local and nonsingular kernels ⋮ A mean-value approach to solve fractional differential and integral equations ⋮ Magnetic field effect on a fractionalized blood flow model in the presence of magnetic particles and thermal radiations ⋮ Abundant distinct types of solutions for the nervous biological fractional FitzHugh-Nagumo equation via three different sorts of schemes ⋮ Numerical solution of certain Cauchy singular integral equations using a collocation scheme ⋮ Application of new quintic polynomial B-spline approximation for numerical investigation of Kuramoto-Sivashinsky equation ⋮ A novel finite difference-spectral method for fractal mobile/immobile transport model based on Caputo-Fabrizio derivative ⋮ A comparative study for fractional chemical kinetics and carbon dioxide CO\(_2\) absorbed into phenyl glycidyl ether problems ⋮ Extremal solutions of \(\varphi\)-Caputo fractional evolution equations involving integral kernels ⋮ Unnamed Item ⋮ A modified analytical approach with existence and uniqueness for fractional Cauchy reaction-diffusion equations ⋮ Numerical solution of fractional multi-delay differential equations ⋮ Stable finite difference method for fractional reaction-diffusion equations by compact implicit integration factor methods ⋮ Application of some new contractions for existence and uniqueness of differential equations involving Caputo-Fabrizio derivative ⋮ Special function form exact solutions for Jeffery fluid: an application of power law kernel ⋮ Exact solutions involving special functions for unsteady convective flow of magnetohydrodynamic second grade fluid with ramped conditions ⋮ Mathematical analysis of a fractional resource-consumer model with disease developed in consumer ⋮ THE FRACTIONAL COMPLEX TRANSFORM: A NOVEL APPROACH TO THE TIME-FRACTIONAL SCHRÖDINGER EQUATION ⋮ Novel finite point approach for solving time-fractional convection-dominated diffusion equations ⋮ Multiplicity solutions for integral boundary value problem of fractional differential systems ⋮ Solving fractional time-delay diffusion equation with variable-order derivative based on shifted Legendre-Laguerre operational matrices ⋮ A numerical analysis for fractional model of the spread of pests in tea plants ⋮ A study on fractional host–parasitoid population dynamical model to describe insect species ⋮ An unconditionally stable algorithm for multiterm time fractional advection–diffusion equation with variable coefficients and convergence analysis ⋮ Numerical solution of the multiterm time‐fractional diffusion equation based on reproducing kernel theory ⋮ A modified Chebyshev ϑ‐weighted <scp>Crank–Nicolson</scp> method for analyzing fractional sub‐diffusion equations ⋮ On solutions of time‐fractional advection–diffusion equation ⋮ Second-order convergent scheme for time-fractional partial differential equations with a delay in time ⋮ A new generalized approach to study the existence of solutions of nonlinear fractional boundary value problems ⋮ Natural transform decomposition method for the numerical treatment of the time fractional <scp>Burgers–Huxley</scp> equation ⋮ Numerical solution of <scp>ABC</scp> space–time fractional distributed order reaction–diffusion equation ⋮ A fractional system of <scp>Cauchy‐reaction</scp> diffusion equations by adopting Robotnov function ⋮ A combined meshfree exponential Rosenbrock integrator for the third‐order dispersive partial differential equations ⋮ Two‐step discretization method for <scp>2D</scp>/<scp>3D Allen–Cahn</scp> equation based on <scp>RBF‐FD</scp> scheme ⋮ On the nondifferentiable exact solutions to Schamel's equation with local fractional derivative on Cantor sets ⋮ A numerical technique based on B‐spline for a class of time‐fractional diffusion equation ⋮ Local discontinuous Galerkin method for time variable order fractional differential equations with sub-diffusion and super-diffusion ⋮ Unnamed Item ⋮ New and more dual‐mode solitary wave solutions for the Kraenkel–Manna–Merle system incorporating fractal effects ⋮ A comparative study on <scp>non‐Newtonian</scp> fractional‐order Brinkman type fluid with two different kernels ⋮ A study on fractional predator–prey–pathogen model with <scp>Mittag–Leffler</scp> kernel‐based operators ⋮ Bifurcation analysis of a diffusive predator–prey model with prey social behavior and predator harvesting ⋮ Invariant analysis of the linear time-space fractional \((2+1)\)-dimensional Burgers equation ⋮ Perona-Malik model with diffusion coefficient depending on fractional gradient via Caputo-Fabrizio derivative ⋮ Dynamical study of a predator–prey system with Michaelis–Menten type predator-harvesting ⋮ A new fractional derivative for solving time fractional diffusion wave equation ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On Caputo-Fabrizio fractional integral inequalities of Hermite-Hadamard type for modified \(h\)-convex functions ⋮ LDG approximation of a nonlinear fractional convection-diffusion equation using B-spline basis functions ⋮ A popular reaction-diffusion model fractional Fitzhugh-Nagumo equation: analytical and numerical treatment ⋮ Analytical method for solving the fractional order generalized KdV equation by a beta-fractional derivative ⋮ A spectral collocation method for fractional chemical clock reactions ⋮ Numerical approximations for space-time fractional Burgers' equations via a new semi-analytical method ⋮ The Proto-Lorenz System in Its Chaotic Fractional and Fractal Structure ⋮ Applications of some fixed point theorems for fractional differential equations with Mittag-Leffler kernel ⋮ Unnamed Item ⋮ Existence and monotone iteration of unique solution for tempered fractional differential equations Riemann-Stieltjes integral boundary value problems ⋮ Integral inequalities for \(s\)-convex functions via generalized conformable fractional integral operators ⋮ New estimates considering the generalized proportional Hadamard fractional integral operators ⋮ Wavelet solution of a strongly nonlinear Lane-Emden equation ⋮ Numerical solutions of inverse time fractional coupled Burgers' equations by the Chebyshev wavelet method ⋮ New insights on novel coronavirus 2019-nCoV/SARS-CoV-2 modelling in the aspect of fractional derivatives and fixed points ⋮ FRACTAL VARIATIONAL PRINCIPLES FOR TWO DIFFERENT TYPES OF FRACTAL PLASMA MODELS WITH VARIABLE COEFFICIENTS ⋮ OPTIMAL CONTROL OF NONLINEAR TIME-DELAY FRACTIONAL DIFFERENTIAL EQUATIONS WITH DICKSON POLYNOMIALS ⋮ A NOVEL APPROACH FOR FRACTAL BURGERS–BBM EQUATION AND ITS VARIATIONAL PRINCIPLE ⋮ MILD SOLUTIONS OF COUPLED HYBRID FRACTIONAL ORDER SYSTEM WITH CAPUTO–HADAMARD DERIVATIVES ⋮ A NOVEL VARIATIONAL APPROACH FOR FRACTAL GINZBURG–LANDAU EQUATION ⋮ Higher-dimensional physical models with multimemory indices: analytic solution and convergence analysis ⋮ On generalized fractional integral inequalities for the monotone weighted Chebyshev functionals ⋮ A novel approach for fractional \((1+1)\)-dimensional Biswas-Milovic equation ⋮ Numerical solutions to the time-fractional Swift-Hohenberg equation using reproducing kernel Hilbert space method ⋮ Modified Chebyshev collocation method for delayed predator-prey system ⋮ Numerical solution for the time-fractional Fokker-Planck equation via shifted Chebyshev polynomials of the fourth kind ⋮ Ulam-Hyers-Rassias stability for nonlinear \(\Psi\)-Hilfer stochastic fractional differential equation with uncertainty

Cites Work

This page was built for publication: Similarities in a fifth-order evolution equation with and with no singular kernel