| 三类conformable型分数阶偏微分方程的精确解 |
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| 引用本文： | 王晓丽,程小雨,王丽真,杨苗.三类conformable型分数阶偏微分方程的精确解[J].纯粹数学与应用数学,2021,37(3):271-285. |
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| 作者姓名： | 王晓丽 程小雨 王丽真 杨苗 |
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| 作者单位： | 西北大学数学学院,陕西西安 710127 |
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| 摘 要： | 对于conformable型分数阶的Airy方程和Telegraph方程,利用泛函分离变量法和广义分离变量法求解了它们的精确解.对于无黏的conformable型分数阶Burgers方程,利用广义分离变量法求解了它的精确解.事实证明,分离变量法是一种简洁直接的求解方法.此外,还借助Maple软件绘制了一些解的三维图像.
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| 关 键 词： | conformable型分数阶偏微分方程 广义分离变量法 泛函分离变量法 |
Exact solutions of three classes of conformable time-fractional differential equations |
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| Wang Xiaoli,Cheng Xiaoyu,Wang Lizhen,Yang Miao.Exact solutions of three classes of conformable time-fractional differential equations[J].Pure and Applied Mathematics,2021,37(3):271-285. |
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| Authors: | Wang Xiaoli Cheng Xiaoyu Wang Lizhen Yang Miao |
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| Abstract: | The aim of this paper is to construct the exact solutions of three classes of time-fractional differential equations with conformable derivative such as Airy's equa-tion and Telegraph equation by means of the functional variable separation method and generalized variable separation method.For the conformable fractional inviscid Burgers equation,we study its exact solutions using the generalized variable separation method.The results obtained shows that this method is direct and concise.In addition,we also present the three-dimensional diagrams of some exact solutions with the help of Maple. |
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| Keywords: | conformable fractional equations functional separated variable solution generalized variable separation method |
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