Analytical Solution for the Time-Fractional Telegraph Equation

被引：43
|
作者：
Huang, F. [1 ]
机构：
[1] S China Univ Technol, Sch Sci, Dept Math, Guangzhou 510641, Guangdong, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS | 2009年
基金：
高等学校博士学科点专项科研基金;
关键词：
D O I：
10.1155/2009/890158
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We discuss and derive the analytical solution for three basic problems of the so-called time-fractional telegraph equation. The Cauchy and Signaling problems are solved by means of juxtaposition of transforms of the Laplace and Fourier transforms in variable t and x, respectively. the appropriate structures and negative prosperities for their Green functions are provided. The boundary problem in a bounded space domain is also solved by the spatial Sine transform and temporal Laplace transform, whose solution is given in the form of a series. Copyright (c) 2009 F. Huang.
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页数：9
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