Analytical solution for the time-fractional telegraph equation by the method of separating variables

被引：195
|
作者：
Chen, J. [2 ,3 ]
Liu, F. [1 ,4 ]
Anh, V. [1 ]
机构：
[1] Queensland Univ Technol, Sch Math Sci, Brisbane, Qld 4001, Australia
[2] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
[3] Jimei Univ, Coll Math, Xiamen 361021, Peoples R China
[4] S China Univ Technol, Sch Math Sci, Guangzhou 510640, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 338卷 / 02期
基金：
中国国家自然科学基金; 澳大利亚研究理事会;
关键词：
fractional telegraph equation; multivariate Mittag-Leffler function; method of separating variables;
D O I：
10.1016/j.jmaa.2007.06.023
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a method of separating variables is effectively implemented for solving a time-fractional telegraph equation (TFTE). We discuss and derive the analytical solution of the TFTE with three kinds of nonhomogeneous boundary conditions, namely, Dirichlet, Neumann and Robin boundary conditions. (C) 2007 Elsevier Inc. All rights reserved.
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页码：1364 / 1377
页数：14
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