分数阶微分代数方程的广义微分变换法(英文)  

Generalized Differential Transform Method for Fractional Algebraic-differential Equations

作　　者：刘金存[1] 侯国林[1] 

机构地区：[1]内蒙古大学数学科学学院,呼和浩特010021

出　　处：《内蒙古大学学报（自然科学版）》2011年第6期630-635,共6页Journal of Inner Mongolia University：Natural Science Edition

基　　金：Supported by the Natural Science Foundation of Inner Mongolia of China(20080404MS0104);the Young Scientists Fund of Inner Mongolia University of China(ND0811)~~

摘　　要：用广义微分变换法(GDTM)求解了带Caupto时间分式导数的微分代数方程.展示的GDTM是基于广义泰勒公式,重构微分方程多项式形式解析解的数值方法.一些实例显示了用GDTM求解分数阶微分代数方程的有效性.By introducing the fractional derivative in the sense of Caputo,the generalized differential transform method（GDTM）is directly applied to solve fractional algebraic-differential equations.The proposed method is a numerical method based on the generalized Taylor formula and an analytical solution in the form of a polynomial is constructed.Several illustrative examples are given to demonstrate the effectiveness of the GDTM for the equations.

关 键 词：分数阶微分代数方程 广义微分变换法 Caputo 

分 类 号：O241.82[理学—计算数学]