| 有限区间上的分数阶扩散-波方程混合问题 |
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| 引用本文： | 朱波,韩宝燕.有限区间上的分数阶扩散-波方程混合问题[J].临沂师范学院学报,2006,28(3):26-28,66. |
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| 作者姓名： | 朱波 韩宝燕 |
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| 作者单位： | 1. 山东经济学院,统计与数学学院,济南,250014
2. 山东工艺美术学院,公共教学部,济南,250014 |
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| 摘 要： | 利用分离变量法,Laplace变换及广义Mittage-Leffler函数,给出了有限区间上分数阶扩散-波方程混合问题的精确解．
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| 关 键 词： | Riemann-Liouville(R-L)分数阶导数 分数阶扩散-波方程 分离变量 Laplace变换 广义Mittage-Lefflet函数 |
| 文章编号： | 1009-6050（2006）03-0026-03 |
| 收稿时间： | 2005-11-03 |
| 修稿时间： | 2005-11-03 |
Finite Horizon of the Fractional Diffusion-Wave Equation with Initial and Boundary Conditions |
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| ZHU Bo,HAN Bao-yan.Finite Horizon of the Fractional Diffusion-Wave Equation with Initial and Boundary Conditions[J].Journal of Linyi Teachers' College,2006,28(3):26-28,66. |
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| Authors: | ZHU Bo HAN Bao-yan |
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| Institution: | 1. School of Mathematics and Statistics Shandong Economic University, Jinan 250014, China 2. Shandong Art and Design Academy, Jinan 250014, China |
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| Abstract: | Use the separate variable,Laplace transform and generalized Mittag-Lefflerfunction, one draw the analytical solution of the finite horizon of the Fractional Diffusion-Wave Equation with Initial and Boundary Conditions. |
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| Keywords: | fractional calculus separate variable Laplace transform fractional diffusion-wave equation generalized Mittag-Leffler function |
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