| 常系数线性分数阶微分方程组的解 |
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| 引用本文： | 段俊生,特木尔朝鲁,孙颉.常系数线性分数阶微分方程组的解[J].数学杂志,2009,29(5). |
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| 作者姓名： | 段俊生 特木尔朝鲁 孙颉 |
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| 作者单位： | 1. 上海应用技术学院数理部,上海,201418
2. 上海海事大学文理学院,上海,200135 |
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| 基金项目： | the Ph.D.Programs Foundation of Ministry of Education of China，the Innovation Program of Shanghai Municipal Education Commission，the Research Foundation of Shanghai Institute of Technology |
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| 摘 要： | 本文研究了常系数线性分数阶微分方程组的求解问题.利用逆Laplace变换,Jordan标准矩阵和最小多项式,得到矩阵变量Mittag-Leffler函数的三种不同的计算方法,包含了常系数线性一阶微分方程组的解.
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| 关 键 词： | 分数阶微积分 Caputo分数阶导数 矩阵变量Mittag-Leffler函数 |
SOLUTION FOR SYSTEM OF LINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS |
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| DUAN Jun-sheng,TEMUER Chao-lu,SUN Jie.SOLUTION FOR SYSTEM OF LINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS[J].Journal of Mathematics,2009,29(5). |
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| Authors: | DUAN Jun-sheng TEMUER Chao-lu SUN Jie |
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| Abstract: | In this article,the problem for solving system of linear fractional differential equations with constant coefficient8 is studied.By using inverse Laplace transform,Jordan canonical matrix,and minimal polynomial,three different calculation methods of Mittag-Leffier functions of matric argument are obtained.The results contain the solution of system of linear first-order differential equations with constant coefficients. |
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| Keywords: | fractional calculus Caputo fractional derivatives Mittag-Leffler functions of matric argument |
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