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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

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【作者】 刘金存侯国林

【Author】 LIU Jin-cun,HOU Guo-lin(School of Mathematical Sciences,Inner Mongolia University,Hohhot 010021,China)

【机构】 内蒙古大学数学科学学院

【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.

【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.

【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)~~
  • 【文献出处】 内蒙古大学学报(自然科学版) ,Journal of Inner Mongolia University(Natural Science Edition) , 编辑部邮箱 ,2011年06期
  • 【分类号】O241.82
  • 【被引频次】3
  • 【下载频次】143
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