Analytical Solution for the Time-Fractional Telegraph Equation
نویسنده
چکیده
We discuss and derive the analytical solution for three basic problems of the so-called timefractional 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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ورودعنوان ژورنال:
- J. Applied Mathematics
دوره 2009 شماره
صفحات -
تاریخ انتشار 2009