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On The Approximate Solutions For A System Of Coupled Korteweg–De Vries Equations With Local Fractional Derivative

Author

Listed:
  • 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)

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.

Suggested Citation

  • Hossein Jafari & Hassan Kamil Jassim & Dumitru Baleanu & Yu-Ming Chu, 2021. "On The Approximate Solutions For A System Of Coupled Korteweg–De Vries Equations With Local Fractional Derivative," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(05), pages 1-7, August.
    • Handle: RePEc:wsi:fracta:v:29:y:2021:i:05:n:s0218348x21400120
    DOI: 10.1142/S0218348X21400120
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    Citations

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    Cited by:

    1. Dubey, Ved Prakash & Singh, Jagdev & Alshehri, Ahmed M. & Dubey, Sarvesh & Kumar, Devendra, 2022. "An efficient analytical scheme with convergence analysis for computational study of local fractional Schrödinger equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 196(C), pages 296-318.
    2. Hassan Kamil Jassim & Mohammed A. Hussein, 2022. "A Novel Formulation of the Fractional Derivative with the Order α ≥ 0 and without the Singular Kernel," Mathematics, MDPI, vol. 10(21), pages 1-18, November.
    3. Hassan Kamil Jassim & Mohammed Abdulshareef Hussein, 2023. "A New Approach for Solving Nonlinear Fractional Ordinary Differential Equations," Mathematics, MDPI, vol. 11(7), pages 1-13, March.

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