On the Approximate Solutions for a System of Coupled Korteweg-De Vries Equations With Local Fractional Derivative
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Date
2021
Journal Title
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Publisher
World Scientific Publ Co Pte Ltd
Open Access Color
HYBRID
Green Open Access
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Abstract
In this paper, we utilize local fractional reduced differential transform (LFRDTM) and local fractional Laplace variational iteration methods (LFLVIM) to obtain approximate solutions for coupled KdV equations. The obtained results by both presented methods (the LFRDTM and the LFLVIM) are compared together. The results clearly show that those suggested algorithms are suitable and effective to handle linear and as well as nonlinear problems in engineering and sciences.
Description
Jafari, Hossein/0000-0001-6807-6675
ORCID
Keywords
Local Fractional Derivative Operators, Reduced Differential Transform Method, Coupled Korteweg-De Vries Equation, Laplace Variational Iteration Method, Financial economics, Laplace transform, Economics, Local Convergence, Mathematical analysis, Quantum mechanics, Convergence Analysis of Iterative Methods for Nonlinear Equations, Numerical Methods for Singularly Perturbed Problems, FOS: Mathematics, Anomalous Diffusion Modeling and Analysis, Numerical Analysis, Korteweg–de Vries equation, Physics, Fractional calculus, Partial differential equation, Derivative-Free Methods, Applied mathematics, Fractional Derivatives, Modeling and Simulation, Derivative (finance), Physical Sciences, Nonlinear system, Iterative Methods, Mathematics, coupled Korteweg-de Vries equation, reduced differential transform method, Variational methods applied to PDEs, Laplace variational iteration method, local fractional derivative operators, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, Fractional partial differential equations, KdV equations (Korteweg-de Vries equations)
Fields of Science
02 engineering and technology, 01 natural sciences, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics
Citation
Jafari, Hossein...at all (2021). "ON the APPROXIMATE SOLUTIONS for A SYSTEM of COUPLED KORTEWEG-DE VRIES EQUATIONS with LOCAL FRACTIONAL DERIVATIVE", Fractals, Vol. 29, No. 5.
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
41
Source
Fractals
Volume
29
Issue
5
Start Page
2140012
End Page
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CrossRef : 16
Scopus : 48
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