| SOLUTION OF SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS BY ADOMIAN DECOMPOSITION METHOD |
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| 引用本文： | Duan Junsheng An Jianye Xu Mingyu2. SOLUTION OF SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS BY ADOMIAN DECOMPOSITION METHOD[J]. 高校应用数学学报(英文版), 2007, 22(1): 7-12. DOI: 10.1007/s11766-007-0002-2 |
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| 作者姓名： | Duan Junsheng An Jianye Xu Mingyu2 |
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| 作者单位： | [1]College of Science, Tianjin University of Commerce, Tianjin 300134, China [2]Institute of Mathematics and Systematical Science, Shandong University, Jinan 250100, China |
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| 基金项目： | 国家自然科学基金 , 天津市教委科研项目 |
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| 摘 要： | The aim of this paper is to apply the relatively new Adomian decomposition method to solving the system of linear fractional, in the sense of Riemann-Liouville and Caputo respectively, differential equations. The solutions are expressed in terms of Mittag-Leffler functions of matric argument. The Adomian decomposition method is straightforward, applicable for broader problems and avoids the difficulties in applying integral transforms. As the order is 1, the result here is simplified to that of first order differential equation.
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| 关 键 词： | 分数微分方程 简化 解 域分解法 |
| 收稿时间： | 2006-05-22 |
Solution of system of fractional differential equations by Adomian decomposition method |
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| Duan Junsheng,An Jianye,Xu Mingyu. Solution of system of fractional differential equations by Adomian decomposition method[J]. Applied Mathematics A Journal of Chinese Universities, 2007, 22(1): 7-12. DOI: 10.1007/s11766-007-0002-2 |
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| Authors: | Duan Junsheng An Jianye Xu Mingyu |
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| Affiliation: | (1) College of Science, Tianjin University of Commerce, Tianjin, 300134, China;(2) Institute of Mathematics and Systematical Science, Shandong University, Jianan, 250100, China |
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| Abstract: | The aim of this paper is to apply the relatively new Adomian decomposition method to solving the system of linear fractional, in the sense of Riemann-Liouville and Caputo respectively, differential equations. The solutions are expressed in terms of Mittag-Leffier functions of matric argument. The Adomian decomposition method is straightforward, applicable for broader problems and avoids the difficulties in applying integral transforms. As the order is 1,the result here is simplified to that of first order differential equation. |
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| Keywords: | fractional calculus Adomian decomposition method Mittag-Leffier function |
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