LOCAL FRACTIONAL VARIATIONAL ITERATION TRANSFORM METHOD: A TOOL FOR SOLVING LOCAL FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS

Hossein Jafari, Hassan Kamil Jassim, Ali Ansari and Nguyen van Thinh
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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
Nguyen van Thinh: *Department of Civil and Environmental Engineering, Seoul National University, Seoul, South Korea

FRACTALS (fractals), 2024, vol. 32, issue 04, 1-8

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.

Keywords: Variational Iteration Transform Method; Yang–Laplace Transform; Local Fractional Operators; Approximate Solution (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S0218348X2440022X

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