A NEW FRACTAL TRANSFORM FREQUENCY FORMULATION FOR FRACTAL NONLINEAR OSCILLATORS

被引：34

作者：

Wang, Kang-Le ^{[1
]}

机构：

[1] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo, Henan, Peoples R China

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2021年 / 29卷 / 03期

关键词：

Fractal Derivative; Fractal Nonlinear Oscillators; Variational Principle; Fractal Semi-Inverse Method; Two-Scale Transform Method; VARIATIONAL ITERATION METHOD; HOMOTOPY PERTURBATION METHOD; EQUATIONS; DIFFUSION; CALCULUS; BEAMS;

D O I：

10.1142/S0218348X21500626

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this study, a new fractal derivative is employed to describe the nonlinear oscillator model. A variational principle of the fractal model is successfully established by using the fractal semi-inverse transform method, and its approximate frequency is obtained by a new fractal transform frequency formulation. The numerical example shows that the proposed technique is simple and accurate for fractal nonlinear oscillators.

引用

页数：7

共 49 条

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