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.
出处
《数学杂志》
CSCD
北大核心
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)
