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Local Fractional Variational Iteration Transform Method: A Tool For Solving Local Fractional Partial Differential Equations

Author

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  • HOSSEIN JAFARI

    (Institute of Research and Development, Duy Tan University, Da Nang, Vietnam†School of Engineering & Technology, Duy Tan University, Da Nang, Vietnam‡Department of Mathematical Sciences, University of South Africa, UNISA0003, South Africa§Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 110122, Taiwan)

  • HASSAN KAMIL JASSIM

    (�Department of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Nasiriyah, Iraq)

  • ALI ANSARI

    (��Department of Mathematics, Gorgan Branch, Islamic Azad University, Gorgan, Iran)

  • VAN THINH NGUYEN

    (*Department of Civil and Environmental Engineering, Seoul National University, Seoul, South Korea)

Abstract

In this paper, we use the local fractional variational iteration transform method LFVITM to solve a class of linear and nonlinear partial differential equations (PDEs), as well as a system of PDEs which are involving local fractional differential operators (LFDOs). The technique combines the variational iteration transform approach and the Yang–Laplace transform. To show how effective and precise the LFVITM four examples are given.

Suggested Citation

  • Hossein Jafari & Hassan Kamil Jassim & Ali Ansari & Van Thinh Nguyen, 2024. "Local Fractional Variational Iteration Transform Method: A Tool For Solving Local Fractional Partial Differential Equations," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 32(04), pages 1-8.
    • Handle: RePEc:wsi:fracta:v:32:y:2024:i:04:n:s0218348x2440022x
    DOI: 10.1142/S0218348X2440022X
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