In this article, we proposed an efficient numerical technique for the solution of fractional-order (1 + 1) dimensional telegraph equation using the Laguerre wavelet collocation method. Some examples are illustrated to inspect the efficiency of the proposed technique and convergence analysis is discussed in terms of a theorem. Here, the fractional-order telegraph equation is converted into a system of algebraic equations using the properties of the Laguerre wavelet, and solutions obtained by the proposed scheme are more accurate and they are compared with the analytical solution and other method existed in the literature.

中文翻译：

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小波技术求解分数阶一维电报方程的数值解

在本文中，我们提出了一种有效的数值技术，用于使用Laguerre小波配置方法求解分数阶（1 +1）维电报方程。举例说明了一些实例，以检验所提出技术的效率，并根据一个定理讨论了收敛分析。在此，利用Laguerre小波的性质将分数阶电报方程式转换为代数方程式系统，并且该方案获得的解更加精确，并且与解析解和文献中存在的其他方法进行了比较。