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Analytical Solution for the Time-Fractional Telegraph Equation

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  • F. Huang

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.

Suggested Citation

  • F. Huang, 2009. "Analytical Solution for the Time-Fractional Telegraph Equation," Journal of Applied Mathematics, Hindawi, vol. 2009, pages 1-9, November.
    • Handle: RePEc:hin:jnljam:890158
    DOI: 10.1155/2009/890158
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    Cited by:

    1. Ranjit R. Dhunde & G. L. Waghmare, 2016. "Double Laplace Transform Method for Solving Space and Time Fractional Telegraph Equations," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2016, pages 1-7, October.
    2. Cuahutenango-Barro, B. & Taneco-Hernández, M.A. & Gómez-Aguilar, J.F., 2018. "On the solutions of fractional-time wave equation with memory effect involving operators with regular kernel," Chaos, Solitons & Fractals, Elsevier, vol. 115(C), pages 283-299.

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