APPROXIMATE SOLUTION FOR TIME FRACTIONAL NONLINEAR MKDV EQUATION WITHIN LOCAL FRACTIONAL OPERATORS

Jian-She Sun
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Jian-She Sun: Institute of Mathematics and Cross Science, Jiaozuo Teacher's College, Jiaozuo 454150, P. R. China2Department of Basic Science, Zhengzhou Shengda University, Xinzheng, 451150, P. R. China3School of Mathematics, China University of Mining and Technology, Xuzhou 221116, P. R. China

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

Abstract: In this paper, we first propose a method, which is originated from coupling local fractional Yang–Laplace transform with the Daftardar–Gejji–Jafaris method (LFYLTDGJM). The proposed method is successfully applied to solve the local time fractional nonlinear modified Korteweg–de Vries (TFNMKDV) equation. The approximate solution presented here illustrates the efficiency and accuracy of the proposed computational technique to solve fractional nonlinear the partial differential equations involving local fractional operators.

Keywords: Local Fractional Yang–Laplace Transform; Local Fractional MKDV Equations; Decomposition Method; Local Fractional Operators (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S0218348X24400218

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