| 几类线性分数阶微分方程解的结构 |
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| 引用本文： | 代群,李辉来.几类线性分数阶微分方程解的结构[J].吉林大学学报(理学版),2011,49(4):580-586. |
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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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| 基金项目： | 国家自然科学基金(批准号:10771085) |
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| 摘 要： | 用分离变量法分析研究时间-空间分数阶线性微分方程解的结构,得到了精确解,并用待定特殊函数法得到了常系数齐次线性分数阶微分方程的精确解,证明了解的存在性,建立了相应解的结构性定理.
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| 关 键 词： | 分数阶微分方程 分离变量法 常系数 齐次线性 |
| 收稿时间： | 2010-12-24 |
Structures of Solutions of Several Kinds of Linear Fractional Differential Equations |
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| DAI Qun,LI Hui-lai.Structures of Solutions of Several Kinds of Linear Fractional Differential Equations[J].Journal of Jilin University: Sci Ed,2011,49(4):580-586. |
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| Authors: | DAI Qun LI Hui-lai |
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| Institution: | Institute of Mathematics, Jilin University, Changchun 130012, China |
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| Abstract: | The authors investigated the solution structure of linear differential equations of fractional order in both time and spatial variables,and obtained some exact solutions via the approach of separating variables.For the exact solutions of invariable coefficient linear homogeneous fractional differential equations,the existence of general solutions and structural theorem of solutions were established by means of undetermined special function method. |
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| Keywords: | fractional differential equation separate variable method invariable coefficient linear homogeneous |
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