| 一种时间分数阶扩散方程的初边值问题 |
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| 引用本文： | 马亮亮.一种时间分数阶扩散方程的初边值问题[J].唐山学院学报,2014(3):18-21. |
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| 作者姓名： | 马亮亮 |
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| 作者单位： | 攀枝花学院数学与计算机学院,四川攀枝花617000 |
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| 基金项目： | 国家自然科学基金项目（60673192）;四川省科技厅项目（2013JY0125） |
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| 摘 要： | 讨论了一种时间分数阶扩散方程的初边值问题。首先利用分离变量法求出了方程的解,然后借助于拉普拉斯变换讨论了方程的强解、连续性和正则性等性质。
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| 关 键 词： | 时间分数阶扩散方程 分离变量法 拉普拉斯变换 强解 连续性 正则性 |
A Problem with Initial-boundary Value of Diffusion Equation of Time-fractional Order |
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| MA Liang-liang.A Problem with Initial-boundary Value of Diffusion Equation of Time-fractional Order[J].Journal of Tangshan College,2014(3):18-21. |
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| Authors: | MA Liang-liang |
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| Institution: | MA Liang-liang (College of Mathematics and Computer Science, Panzhihua University, Panzhihua 617000, China) |
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| Abstract: | In this paper,the author studies a problem with initial-boundary value of diffusion e-quation of time-fractional order,by first obtaining the solution of the equation with the method of separation of variables,and then discussing the strong solution,continuity and regularity of the equation with the help of Laplasse transform. |
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| Keywords: | diffusion equation of time-fractional order separation of variables Laplace trans-form strong solution continuity regularity |
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