TY - JOUR
A2 - Rokicki, Jacek
AU - Huang, F.
PY - 2009
DA - 2009/11/30
TI - Analytical Solution for the Time-Fractional Telegraph Equation
SP - 890158
VL - 2009
AB - 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.
SN - 1110-757X
UR - https://doi.org/10.1155/2009/890158
DO - 10.1155/2009/890158
JF - Journal of Applied Mathematics
PB - Hindawi Publishing Corporation
KW -
ER -