Analytical Solution for the Time-Fractional Telegraph Equation

Analytical Solution for the Time-Fractional Telegraph Equation

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 st...

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Main Author: F. Huang
Format: Article
Language:English
Published: Hindawi Limited 2009-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2009/890158
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spelling doaj-3fb8689896da498fbe0a7c8700ec74342020-11-24T23:16:38ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422009-01-01200910.1155/2009/890158890158Analytical Solution for the Time-Fractional Telegraph EquationF. Huang0Department of Mathematics, School of Sciences, South China University of Technology, Guangzhou 510641, ChinaWe 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.http://dx.doi.org/10.1155/2009/890158
collection DOAJ
language English
format Article
sources DOAJ
author F. Huang
spellingShingle F. Huang
Analytical Solution for the Time-Fractional Telegraph Equation
Journal of Applied Mathematics
author_facet F. Huang
author_sort F. Huang
title Analytical Solution for the Time-Fractional Telegraph Equation
title_short Analytical Solution for the Time-Fractional Telegraph Equation
title_full Analytical Solution for the Time-Fractional Telegraph Equation
title_fullStr Analytical Solution for the Time-Fractional Telegraph Equation
title_full_unstemmed Analytical Solution for the Time-Fractional Telegraph Equation
title_sort analytical solution for the time-fractional telegraph equation
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2009-01-01
description 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.
url http://dx.doi.org/10.1155/2009/890158
work_keys_str_mv AT fhuang analyticalsolutionforthetimefractionaltelegraphequation
_version_ 1725586572958498816

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