Open Access
2009 Analytical Solution for the Time-Fractional Telegraph Equation
F. Huang
J. Appl. Math. 2009: 1-9 (2009). DOI: 10.1155/2009/890158


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.


Download Citation

F. Huang. "Analytical Solution for the Time-Fractional Telegraph Equation." J. Appl. Math. 2009 1 - 9, 2009.


Published: 2009
First available in Project Euclid: 2 March 2010

zbMATH: 1190.35224
MathSciNet: MR2565356
Digital Object Identifier: 10.1155/2009/890158

Rights: Copyright © 2009 Hindawi

Vol.2009 • 2009
Back to Top