In this paper, we seek to find solutions of the local time fractional Telegraph equation (LTFTE) by employing the local time fractional reduced differential transform method (LTFRDTM). This method produces a numerical approximate solution having the form of an infinite series that converges to a closed form solution in many cases. We apply LTFRDTM on four different LTFTEs to examine the efficiency of the proposed method. The yielded results established the effectiveness of LTFRDTM as a reliable and solid approach for obtaining solutions of LTFTEs. The solutions coincided with the exact solution in the ordinary case when $\mu =1$. It also required minimal amount of computational work and saved a lot of time.

在本文中，我们寻求通过采用本地时间分数简化微分变换方法（LTFRDTM）来找到本地时间分数电报方程（LTFTE）的解。该方法产生具有无限级数形式的数值近似解，在许多情况下该数值近似解收敛到封闭形式解。我们将 LTFRDTM 应用于四种不同的 LTFE，以检查所提出方法的效率。所得结果证实了 LTFRDTM 作为获取 LTFTE 解决方案的可靠而可靠的方法的有效性。当 $\mu =1$ 时，解与普通情况下的精确解一致。它还需要最少的计算工作量并节省大量时间。