Journal of Applied Mathematics

Analytical Solution for the Time-Fractional Telegraph Equation

F. Huang

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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.

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J. Appl. Math., Volume 2009 (2009), Article ID 890158, 9 pages.

First available in Project Euclid: 2 March 2010

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Huang, F. Analytical Solution for the Time-Fractional Telegraph Equation. J. Appl. Math. 2009 (2009), Article ID 890158, 9 pages. doi:10.1155/2009/890158.

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