| 分数阶微分代数方程的广义微分变换法(英文) |
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| 引用本文： | 刘金存,侯国林. 分数阶微分代数方程的广义微分变换法(英文)[J]. 内蒙古大学学报(自然科学版), 2011, 42(6): 630-635 |
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| 作者姓名： | 刘金存 侯国林 |
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| 作者单位： | 内蒙古大学数学科学学院,呼和浩特,010021 |
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| 基金项目： | Supported by the Natural Science Foundation of Inner Mongolia of China(20080404MS0104); the Young Scientists Fund of Inner Mongolia University of China(ND0811)~~ |
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| 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.
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| 关 键 词： | 分数阶微分代数方程 广义微分变换法 Caputo |
Generalized Differential Transform Method for Fractional Algebraic-differential Equations |
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| LIU Jin-cun,HOU Guo-lin. Generalized Differential Transform Method for Fractional Algebraic-differential Equations[J]. Acta Scientiarum Naturalium Universitatis Neimongol, 2011, 42(6): 630-635 |
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| Authors: | LIU Jin-cun HOU Guo-lin |
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| Affiliation: | LIU Jin-cun,HOU Guo-lin(School of Mathematical Sciences,Inner Mongolia University,Hohhot 010021,China) |
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| Abstract: | 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. |
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| Keywords: | fractional algebraic-differential equation generalized differential transform method Caputo |
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