A new treatment based on hybrid functions to the solution of telegraph equations of fractional order

In this paper, a new operational method based on hybrid functions of Legendre polynomials and Block-Pulse-Functions will be presented. The operational matrix of fractional integration is derived and used to take an acceptable approximate for the solution of a telegraph equation of fractional order. An error estimation will be presented to give an image of the goodness of the solution. Some numerical examples demonstrate the efficiency of the proposed method.