A NOVEL ANALYTICAL APPROACH TO FRACTAL NONLINEAR DISPERSIVE MODEL WITH VARIABLE COEFFICIENTS

Chun-Fu Wei, Jun-Wei Luo and Hai-Xia Zhai
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Chun-Fu Wei: College of Computer Science and Technology, Henan Polytechnic University, Jiaozuo, Henan 454000, P. R. China†School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, Henan 454000, P. R. China
Jun-Wei Luo: College of Computer Science and Technology, Henan Polytechnic University, Jiaozuo, Henan 454000, P. R. China
Hai-Xia Zhai: College of Computer Science and Technology, Henan Polytechnic University, Jiaozuo, Henan 454000, P. R. China

FRACTALS (fractals), 2022, vol. 30, issue 07, 1-10

Abstract: In this paper, the fractal nonlinear dispersive model (FNDM) with variable coefficients is investigated by variational perspective, and its fractal variational principle is constructed by using the He’s fractal semi-inverse method. Based on the fractal variational principle, a novel analytical algorithm is successfully established to solve the fractal model. Two examples are given to illustrate the efficiency and accuracy of the proposed algorithm.

Keywords: Fractal Calculus; Fractal Variational Principle; Fractal Nonlinear Dispersive Model; Fractal Semi-Inverse Method (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22501614

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