| 空间——时间分数阶对流扩散方程的分析解及基本解的性质 |
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| 引用本文： | 郑达艺.空间——时间分数阶对流扩散方程的分析解及基本解的性质[J].福建教育学院学报,2007,8(10):103-106. |
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| 作者姓名： | 郑达艺 |
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| 作者单位： | 福建教育学院数理系,福建,福州,350025 |
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| 摘 要： | 本文考虑空间时间分数阶对流—扩散方程(即在一个标准对流—扩散方程中,用β(0<β≤1)阶导数代替时间一阶导数,用a(1
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| 关 键 词： | 空间时间分数阶对流—扩散方程 Fourier变换 Laplace变换 |
| 文章编号： | 1673-9884（2007）10-0103-04 |
| 修稿时间： | 2007-06-26 |
The Analytic Solution and the Fundamental Solution of a Space and Time Fractional Advection-dispersion Equation |
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| ZHENG Da-yi.The Analytic Solution and the Fundamental Solution of a Space and Time Fractional Advection-dispersion Equation[J].Journal of Fujian Education Institute,2007,8(10):103-106. |
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| Authors: | ZHENG Da-yi |
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| Institution: | Department of Mathematics and Physics, Fujian Institute of Education, Fuzhou 350025, China |
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| Abstract: | The analytic solution of a space and time fractional advection-dispersion equation is considered. This equation is obtained from an advection-dispersion equation by replacing the second order derivative in space by order derivate in space of order, the first order derivative in space by order derivative in space of order and the first order derivative at time by order derivative at time of order. Using the Fourier transform, the Laplace transform and their inverse transforms, the analytic solution of this equation can be arrived at. The fundamental solution of this equation is discussed. |
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| Keywords: | space and time fractional advection-dispersion equation the Fourier transform the Laplace transform |
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