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

doi:10.1016/j.jmaa.2007.06.023

Journal of Mathematical Analysis and Applications

Volume 338, Issue 2, 15 February 2008, Pages 1364-1377

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Abstract

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.

Keywords

Fractional telegraph equation

Multivariate Mittag-Leffler function

Method of separating variables