Solving Fractional Telegraph Equation via Yang Decomposition Method

In this study, we introduced a novel scheme to attain approximate and closed-form solutions of fractional telegraph equations, which belong to the most consequential amplitude equations in physics. The Yang transforms (YT) and the Adomian decomposition method (ADM) is combined in the proposed method. We call it the Yang Adomian decomposition method (YDM). Some examples are given to illustrate the accuracy of the numerical results by YDM. As a result, YDM demonstrates that it is a useful and simple mathematical tool for getting approximate and exact analytical solutions to linear-nonlinear fractional telegraph equations (FTEs) of the given kind. The convergence and absolute error analysis of the series solutions is also offered.