| 待定系数法解常系数齐次分数阶微分方程组 |
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| 引用本文： | 代群,李辉来. 待定系数法解常系数齐次分数阶微分方程组[J]. 吉林大学学报(理学版), 2012, 50(3): 377-380 |
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| 作者姓名： | 代群 李辉来 |
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| 作者单位： | 吉林大学 数学研究所, 长春 130012 |
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| 摘 要： | 用Jordan标准型方法研究常系数齐次分数阶微分方程组的基本解矩阵, 得到了方程组的基本解系. 结果表明, 可以用待定系数法解常系数齐次分数阶微分方程组, 并且该结果蕴含常系数线性一阶微分方程组.
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| 关 键 词： | 分数阶微分方程 待定系数法 常系数 方程组 |
| 收稿时间： | 2011-10-09 |
Solving Systems of Linear Fractional Differential Equations with Constant Coefficients by the Method of Undetermined Coefficients |
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| DAI Qun , LI Hui-lai. Solving Systems of Linear Fractional Differential Equations with Constant Coefficients by the Method of Undetermined Coefficients[J]. Journal of Jilin University: Sci Ed, 2012, 50(3): 377-380 |
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| Authors: | DAI Qun LI Hui-lai |
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| Affiliation: | Institute of Mathematics, Jilin University, Changchun 130012, Chin
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| Abstract: | The authors investigated the solution matrix of the systems of the linear fractional differential equations with constant coefficients,and obtained some exact solutions of the systems of linear equations using Jordan canonical matrix.We can solve the systems of linear fractional differential equations with constant coefficients using the method of undetermined coefficients,and the results contain the solution of linear first-order differential equations with constant coefficients. |
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| Keywords: | fractional differential equations undetermined coefficients method invariable coefficient systems |
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