STUDY OF THE TIME-FRACTIONAL WAVE EQUATION VIA DOUBLE SHEHU TRANSFORM METHOD

Abstract

In this study, we have explored the analytical solution for the time-fractional wave equation through the utilization of the double Shehu transform. The time-fractional wave equation holds significant importance, being prevalent in scenarios involving electromagnetic wave propagation, vibrating strings, and other related areas. Employing the proposed technique, we successfully obtained the exact solution. In addition, an illustrative example is provided to demonstrate the validity and accuracy of the presented method. It is worth mentioning that the proposed method is capable of reducing the volume of the computational work as compared to the classical methods while still maintaining the high accuracy of the numerical result; the size reduction amounts to an improvement of the performance of the approach.