ON THE APPROXIMATE SOLUTIONS FOR A SYSTEM OF COUPLED KORTEWEG–DE VRIES EQUATIONS WITH LOCAL FRACTIONAL DERIVATIVE-Reference-Cited by-同舟云学术

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

Published:2021-03-04 Issue:05 Volume:29 Page:2140012
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

JAFARI HOSSEIN¹,JASSIM HASSAN KAMIL²,BALEANU DUMITRU³⁴,CHU YU-MING⁵⁶

Affiliation:

1. Applied Analysis Research Group, Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam

2. Department of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Iraq

3. Department of Mathematics, Faculty of Art and Sciences, Cankaya University, Ankara, Turkey

4. Institute of Space Sciences, Magurele Bucharest, Romania

5. Department of Mathematics, Huzhou University, Huzhou 313000, P. R. China

6. Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science & Technology, Changsha 410114, P. R. China

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X21400120

Reference29 articles.

1. Partial Differential Equations and Solitary Waves Theory

2. Local Fractional Adomian Decomposition and Function Decomposition Methods for Laplace Equation within Local Fractional Operators

3. Adomian decomposition method for three-dimensional diffusion model in fractal heat transfer involving local fractional derivatives

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