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

Hossein Jafari, Hassan Kamil Jassim, Dumitru Baleanu and Yu-Ming Chu
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Hossein Jafari: Applied Analysis Research Group, Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam
Hassan Kamil Jassim: ��Department of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Iraq
Dumitru Baleanu: ��Department of Mathematics, Faculty of Art and Sciences, Cankaya University, Ankara, Turkey§Institute of Space Sciences, Magurele Bucharest, Romania
Yu-Ming Chu: �Department of Mathematics, Huzhou University, Huzhou 313000, P. R. China∥Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science & Technology, Changsha 410114, P. R. China

FRACTALS (fractals), 2021, vol. 29, issue 05, 1-7

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.

Keywords: Local Fractional Derivative Operators; Reduced Differential Transform Method; Coupled Korteweg–De Vries Equation; Laplace Variational Iteration Method (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (3)

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DOI: 10.1142/S0218348X21400120

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