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.
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页数：7
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