Analytical Solution for the Time-Fractional Telegraph Equation

F. Huang

Journal of Applied Mathematics, 2009, vol. 2009, 1-9

Abstract:

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.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:890158

DOI: 10.1155/2009/890158

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