联合Duffing方程和Van der Pol方程的非线性分数阶微分方程(英文)  

NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION COMBINING DUFFING EQUATION AND VAN DER POL EQUATION

作　　者：段俊生[1] 孙劼[1] 特木尔朝鲁[2] 

机构地区：[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

出　　处：《数学杂志》2011年第1期7-10,共4页Journal of Mathematics

基　　金：Supported by the PhD Programs Foundation of Ministry of Education of China(20070128001);the Innovation Program of Shanghai Municipal Education Commission (09YZ239);the Research Foundation of Shanghai Institute of Technology (YJ2009-12)

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.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 

分 类 号：O175.1[理学—数学]