Exact analytical solutions of fractional order telegraph equations via triple Laplace transform

Abstract

<p style='text-indent:20px;'>In this paper, we study initial/boundary value problems for <inline-formula><tex-math id="M1">\begin{document}$ 1+1 $\end{document}</tex-math></inline-formula> dimensional and <inline-formula><tex-math id="M2">\begin{document}$ 1+2 $\end{document}</tex-math></inline-formula> dimensional fractional order telegraph equations. We develop the technique of double and triple Laplace transforms and obtain exact analytical solutions of these problems. The techniques we develop are new and are not limited to only telegraph equations but can be used for exact solutions of large class of linear fractional order partial differential equations