A NEW FRACTAL TRANSFORM FOR THE APPROXIMATE SOLUTION OF DRINFELD–SOKOLOV–WILSON MODEL WITH FRACTAL DERIVATIVES

Fenglian Liu, Lei Yang and Muhammad Nadeem
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Fenglian Liu: Institute of Land & Resources and Sustainable Development, Yunnan University of Finance and Economics, Kunming 650221, P. R. China
Lei Yang: Institute of Land & Resources and Sustainable Development, Yunnan University of Finance and Economics, Kunming 650221, P. R. China
Muhammad Nadeem: School of Mathematics and Statistics, Qujing Normal University, Qujing 650011, P. R. China

FRACTALS (fractals), 2023, vol. 31, issue 01, 1-9

Abstract: This study examines the development of a novel approach known as the fractal Elzaki transform method (F𠔼TM) to investigate the approximation solution of the nonlinear fractal Drinfeld–Sokolov–Wilson (NFDSW) model. We adopt He’s fractal derivative to change the fractal model into its differential parts and then apply the Elzaki transform to obtain the recurrence relation. We utilize the framework of homotopy perturbation method to handle the nonlinear components of this recurrence relation and thus we can obtain the successive iterations very easily. The derived findings are performed in the form of series and the rate of convergence shows the remarkable solutions due to its fast convergence. The numerical example illustrates that F𠔼TM is very easy to implement and a fascinating tool for fractal models.

Keywords: Elzaki Transform; He’s Fractal Derivative; Homotopy Perturbation Method; Drinfeld–Sokolov–Wilson Model; Fractal Derivatives (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:31:y:2023:i:01:n:s0218348x2350007x

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DOI: 10.1142/S0218348X2350007X

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