| 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心用.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.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. |
| 关键词: 分数阶微积分 Duffing方程 Van der Pol方程 Adomian分解方法 |
| DOI： |
| 分类号:O175.1 |
| 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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| NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION COMBINING DUFFING EQUATION AND VAN DER POL EQUATION |
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DUAN Jun-sheng,SUN Jie,TEMUER Chao-lu
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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. |
| Key words: fractional calculus Duffing equation Van der Pol equation Adomian decomposition method |
