二维和三维的时间分数阶电报方程的解析解

J4 ›› 2012, Vol. 47 ›› Issue (8): 114-121.

二维和三维的时间分数阶电报方程的解析解

王学彬¹,刘发旺²

1. 武夷学院数学与计算机系, 福建武夷山 354300;
2. 昆士兰科技大学数学科学学院,澳大利亚, 昆士兰布利斯本 4001

收稿日期:2012-03-19 出版日期:2012-08-20 发布日期:2012-12-24
作者简介:王学彬(1976- ),男,副教授,研究方向为分数阶微积分.Email:wxbnp@163.com
基金资助:
福建省科技重点项目(2011Y0049); 福建省教育厅A类项目(JA09242); 武夷学院青年教师专项科研基金(xq201022)

Analytical solutions of the time-fractional telegraph equation in two and three dimensions

WANG Xue-bin¹, LIU Fa-wang²

1. Department of Mathematics and Computer, Wuyi University, Wuyishan 354300, Fujian, China;
2. School of Mathematical Sciences, Queensland University of Technology GPO Box 2434, Brisbane, Qld. 4001, Australia

Received:2012-03-19 Online:2012-08-20 Published:2012-12-24

摘要/Abstract

摘要：

提出分离变量法解决二维、三维的时间分数阶电报方程问题,利用该方法得到二维、三维的时间分数阶电报方程满足非齐次Dirichlet 边界条件下的解析解。

关键词: Dirichlet边界条件;分离变量法;分数阶电报方程

Abstract:

A method of separating variables is effectively implemented for solving a time-fractional telegraph equation(TFTE) in two and three dimensions. The analytical solutions of the TFTE in two and three dimensions with nonhomogeneous Dirichlet boundary conditions are obtained.

Key words: Dirichlet boundary conditions; method of separating variables; fractional telegraph equation

王学彬1,刘发旺2. 二维和三维的时间分数阶电报方程的解析解[J]. J4, 2012, 47(8): 114-121.

WANG Xue-bin1, LIU Fa-wang2. Analytical solutions of the time-fractional telegraph equation in two and three dimensions[J]. J4, 2012, 47(8): 114-121.

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