LOCAL FRACTIONAL SUMUDU DECOMPOSITION METHOD TO SOLVE FRACTAL PDEs ARISING IN MATHEMATICAL PHYSICS

Ping Cui and Hassan Kamil Jassim
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Ping Cui: School of Mathematics and Statistics, Qujing Normal University, Qujing 655011, Yunnan, P. R. China
Hassan Kamil Jassim: Department of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Nasiriyah, Iraq3College of Technical Engineering, National University of Science and Technology, Thi-Qar, Iraq

FRACTALS (fractals), 2024, vol. 32, issue 04, 1-7

Abstract: In this paper, we investigate solutions of telegraph, Laplace and wave equations within the local fractional derivative operator by using local fractional Sumudu decomposition method. This method is coupled by the Sumudu transform and decomposition method. The method in general is easy to implement and yields good results. Illustrative examples are included to demonstrate the validity and applicability of the presented method.

Keywords: Telegraph Equation; Local Fractional Decomposition Method; Local Fractional Sumudu Transform; Local Fractional Derivative Operator (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S0218348X24400292

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