计算机工程与应用Issue(18)：75-78,4.DOI:10.3778/j.issn.1002-8331.1304-0070
分数阶非线性Duffing振子方程的特性研究
Properties of fractional nonlinear Duffing oscillator equation
摘要
Abstract
Caputo fractional operator is introduced in the nonlinear Duffing oscillator equation. Homotopy perturbation transform method which is based on homotopy perturbation method and Laplace transform method is applied to solving the fractional nonlinear Duffing oscillator equation and with Mathematica symbols calculation software, the approximate solutions are investigated. The relationship between oscillator movement and fractional derivative is also studied.关键词
Caputo分数阶微分/非线性Duffing振子方程/同伦扰动变换法/近似解Key words
Caputo fractional derivative/nonlinear Duffing oscillator equation/homotopy perturbation transform method/approximate solution分类
数理科学引用本文复制引用
李娜..分数阶非线性Duffing振子方程的特性研究[J].计算机工程与应用,2014,(18):75-78,4.基金项目
山东省自然科学基金（No.ZR2010Al019）。 （）
