Fractional diffusion-wave equations on finite interval by Laplace transform

被引：4
|
作者：
Duan, Jun-Sheng [1 ,2 ]
Fu, Shou-Zhong [2 ]
Wang, Zhong [2 ]
机构：
[1] Shanghai Inst Technol, Sch Sci, Shanghai 201418, Peoples R China
[2] Zhaoqing Univ, Sch Math & Informat Sci, Zhaoqing 526061, Guangdong, Peoples R China
来源：
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2014年 / 25卷 / 03期
基金：
中国国家自然科学基金;
关键词：
fractional calculus; Laplace transform; fractional diffusion-wave equation; 26A33; 44A10; 34A08; 35R11; BOUNDARY-VALUE-PROBLEMS;
D O I：
10.1080/10652469.2013.838759
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work the solution of the fractional diffusion-wave equation on the finite interval [0, 1] with inhomogeneous boundary conditions is considered by the Laplace transform and the contour integration method. For the fractional diffusion equation the solution is expressed as an infinite integral, and for the fractional wave equation the solution is expressed as a sum of an infinite integral and a series. Finally, we compare the results with that by the method of separation of variables.
引用
收藏
页码：220 / 229
页数：10
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