| 分离变量法解三维的分数阶混合扩散-波动方程的初边值问题 |
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| 引用本文： | 王学彬.分离变量法解三维的分数阶混合扩散-波动方程的初边值问题[J].南平师专学报,2008,27(5):18-21. |
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| 作者姓名： | 王学彬 |
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| 作者单位： | 武夷学院经济与数学系,福建武夷山354300 |
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| 基金项目： | 福建省教育厅科技项目（JB07181）.武夷学院科研基金项目（XQL07002） |
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| 摘 要： | 本文考虑在有限区间上三维的时间分数阶混合扩散-波动方程的初边值问题。使用分离变量法，导出三维的时间分数阶混合扩散方程和初边值问题的基本解。
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| 关 键 词： | 分数阶混合扩散-波动方程 初边值问题 分离变量法 Caputo导数 |
Separation of Variables Method for Fractional Diffusion-Wave Equation with Initial-Boundary Value Problem in Three Dimension |
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| WANG Xuebin.Separation of Variables Method for Fractional Diffusion-Wave Equation with Initial-Boundary Value Problem in Three Dimension[J].Journal of Nanping Teachers College,2008,27(5):18-21. |
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| Authors: | WANG Xuebin |
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| Institution: | WANG Xuebin (Department of Economics and Mathematics, Wuyi University, Wuyishan, Fujian 354300) |
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| Abstract: | In this paper,a time fractional mixed diffusion-wave equation with initial-boundary problem in a finite domain in three dimensions (FDWEIBP-3D) is considered. Using separation of variables method,the fundamental solutions of a time fractional mixed diffusion-wave equation with initial-boundary problem in three-dimensions are derived. |
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| Keywords: | fractional mixed diffusion-wave equation initial-boundary value problem separation of variables Caputo derivative |
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