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

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

WANG Xue-bin1, LIU Fa-wang2   

  1. 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

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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

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