| 联合Duffing方程和Van der Pol方程的非线性分数阶微分方程 |
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| 引用本文： | 段俊生,孙劼,特木尔朝鲁.联合Duffing方程和Van der Pol方程的非线性分数阶微分方程[J].数学杂志,2011,31(1):7-10. |
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| 作者姓名： | 段俊生 孙劼 特木尔朝鲁 |
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| 作者单位： | 1. 上海应用技术学院数理部,上海,201418
2. 上海海事大学文理学院,上海,200135 |
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| 基金项目： | Supported by the Ph.D Programs Foundation of Ministry of Education of China，the Innovation Program of Shanghai Municipal Education Commission，the Research Foundation of Shanghai Institute of Technology |
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| 摘 要： | 本文研究了Adomian分解方法在非线性分数阶微分方程求解中的应用. 利用Riemann-Liouville分数阶导数和Adomian分解方法, 将Duffing方程和Van der Pol方程联合在一个分数阶方程中,并获得了此方程的解析近似解.
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| 关 键 词： | 分数阶微积分 Duffing方程 Van der Pol方程 Adomian分解方法 |
NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION COMBINING DUFFING EQUATION AND VAN DER POL EQUATION |
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| DUAN Jun-sheng,SUN Jie,TEMUER Chao-lu.NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION COMBINING DUFFING EQUATION AND VAN DER POL EQUATION[J].Journal of Mathematics,2011,31(1):7-10. |
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| Authors: | DUAN Jun-sheng SUN Jie TEMUER Chao-lu |
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| Institution: | DUAN Jun-sheng1,SUN Jie1,TEMUER Chao-lu2 (1. Dept. of Math. and Physics,Shanghai Institute of Technology,Shanghai 201418,China) (2. College of Art and Sciences,Shanghai Maritime University,Shanghai 200135,China) |
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| Abstract: | In this article,applications of Adomian decomposition method for the solution of nonlinear fractional differential equation are studied.By using the Riemann-Liouville fractional derivative and the Adomian decomposition method,we combine Duffing equation and Van der Pol equation together in one fractional equation and obtain its analytical approximate solution. |
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| Keywords: | fractional calculus Duffing equation Van der Pol equation Adomian decomposition method |
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