ON THE APPROXIMATE SOLUTIONS FOR A SYSTEM OF COUPLED KORTEWEG–DE VRIES EQUATIONS WITH LOCAL FRACTIONAL DERIVATIVE

DOI10.1142/S0218348X21400120OpenAlexW3120159969MaRDI QIDQ5023983

Dumitru Baleanu, Hassan Kamil Jassim, Hossein Jafari, Yu-Ming Chu

Publication date: 28 January 2022

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x21400120

zbMATH Keywords

reduced differential transform methodlocal fractional derivative operatorsLaplace variational iteration methodcoupled Korteweg-de Vries equation

Mathematics Subject Classification ID

Numerical analysis (65-XX) Partial differential equations (35-XX)

Related Items (11)

AN INSIGHT ON THE (2 + 1)-DIMENSIONAL FRACTAL NONLINEAR BOITI–LEON–MANNA–PEMPINELLI EQUATIONS ⋮ An approximate analytical view of physical and biological models in the setting of Caputo operator via Elzaki transform decomposition method ⋮ A mathematical model of intraguild predation with prey refuge and competitive predators ⋮ An efficient analytical scheme with convergence analysis for computational study of local fractional Schrödinger equations ⋮ VARIATIONAL PRINCIPLE AND SOLITARY WAVE OF THE FRACTAL FOURTH-ORDER NONLINEAR ABLOWITZ–KAUP–NEWELL–SEGUR WATER WAVE MODEL ⋮ A localized meshfree technique for solving fractional Benjamin-Ono equation describing long internal waves in deep stratified fluids ⋮ Higher-dimensional integrable deformations of the modified KdV equation ⋮ GLOBAL WELL-POSEDNESS OF A CAUCHY PROBLEM FOR A NONLINEAR PARABOLIC EQUATION WITH MEMORY ⋮ Approximation properties of residual neural networks for fractional differential equations ⋮ TRAVELING WAVE SOLUTION OF FRACTAL KdV-BURGERS–KURAMOTO EQUATION WITHIN LOCAL FRACTIONAL DIFFERENTIAL OPERATOR ⋮ Analytic solutions of fractal and fractional time derivative-Burgers-Nagumo equation

Cites Work

• Local fractional Adomian decomposition and function decomposition methods for Laplace equation within local fractional operators
• Local fractional Laplace variational iteration method for fractal vehicular traffic flow
• A new numerical technique for solving the local fractional diffusion equation: two-dimensional extended differential transform approach
• Partial differential equations and solitary waves theory
• Local fractional Laplace variational iteration method for solving diffusion and wave equations on Cantor sets within local fractional operators
• The approximate solutions of three-dimensional diffusion and wave equations within local fractional derivative operator
• Local fractional function decomposition method for solving inhomogeneous wave equations with local fractional derivative
• A modified invariant subspace method for solving partial differential equations with non-singular kernel fractional derivatives
• Fractional Dynamics
• Analytical approximate solutions for local fractional wave equations
• On the local fractional wave equation in fractal strings
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: ON THE APPROXIMATE SOLUTIONS FOR A SYSTEM OF COUPLED KORTEWEG–DE VRIES EQUATIONS WITH LOCAL FRACTIONAL DERIVATIVE