New fractional derivatives applied to the Korteweg-de Vries and Korteweg-de Vries-Burgers equations
type: Item
instance of: scholarly article
title: New fractional derivatives applied to the Korteweg-de Vries and Korteweg-de Vries-Burgers equations
zbMATH Open document ID: 1432.35229
author: Khaled M. Saad
author: Abdon Atangana
author: D. Baleanu
published in: Computational and Applied Mathematics
publication date: 2018-11-05T00:00:00Z
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 6973193
zbMATH Keywords: time fractional Korteweg-de Vries
zbMATH Keywords: time fractional Korteweg-de Vries-Burgers
zbMATH Keywords: q-homotopy analysis transform method
zbMATH Keywords: Liouville-Caputo
zbMATH Keywords: Caputo-Fabrizio
zbMATH Keywords: Atangana-Baleanu
MaRDI profile type: Publication
full work available at URL: s40314-018-0627-1
OpenAlex ID: W2801412973
cites work: New discretization of Caputo-Fabrizio derivative
cites work: On a hybrid spectral exponential Chebyshev method for time-fractional coupled Burgers equations on a semi-infinite domain
cites work: Comparing the Atangana-Baleanu and Caputo-Fabrizio derivative with fractional order: Allen Cahn model
cites work: On the new fractional derivative and application to nonlinear Fisher's reaction-diffusion equation
cites work: Analysis of the Keller-Segel model with a fractional derivative without singular kernel
cites work: The time-fractional coupled-Korteweg-de-Vries equations
cites work: A numerical technique based on the shifted Legendre polynomials for solving the time-fractional coupled KdV equations
cites work: Approximate analytical solution of the nonlinear fractional KdV-Burgers equation: a new iterative algorithm
cites work: On coupled systems of time-fractional differential problems by using a new fractional derivative
cites work: Travelling wave solutions and proper solutions to the two-dimensional Burgers–Korteweg–de Vries equation
cites work: On travelling wave solutions of the Burgers–Korteweg–de Vries equation
cites work: Traveling wave solutions to a reaction-diffusion equation
cites work: Irving-Mullineux oscillator via fractional derivatives with Mittag-Leffler kernel
cites work: Exponential stability analysis of travelling waves solutions for nonlinear delayed cellular neural networks
cites work: A non-linear equation incorporating damping and dispersion
cites work: Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order
cites work: Beyond Perturbation
cites work: On the homotopy analysis method for nonlinear problems.
cites work: Comparison between the homotopy analysis method and homotopy perturbation method
cites work: A new dissipation model based on memory mechanism
cites work: Numerical simulations of chaotic and complex spatiotemporal patterns in fractional reaction-diffusion systems
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: A new method for exact solutions of variant types of time-fractional Korteweg-de Vries equations in shallow water waves
cites work: On the analysis of chemical kinetics system pertaining to a fractional derivative with Mittag-Leffler type kernel
cites work: A new analysis for fractional model of regularized long‐wave equation arising in ion acoustic plasma waves
cites work: A new integral transform operator for solving the heat-diffusion problem
cites work: A new fractional operator of variable order: application in the description of anomalous diffusion
cites work: Modelling fractal waves on shallow water surfaces via local fractional Korteweg-de Vries equation
cites work: On exact traveling-wave solutions for local fractional Korteweg-de Vries equation
cites work: Q4560749
cites work: Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
Wikidata QID: Q129973254
DOI: 10.1007/S40314-018-0627-1
description: scientific article; zbMATH DE number 6973193