A Mathematical study of the T. Regge Model under Fractional Dynamics via Shehu Transformation Method

Abstract

This Paper presents a new approach to solving the fractional-orderT. Regge problem using the Shehu Transformation Method (STM), a recently developed mathematical approach. In this work, we demon strate that the Shehu transform can be e ectively applied to fractional dierential equations (FDEs) to obtain analytical solutions for the fractional-order T. Regge problem. Through the application of this method, we derive exact solution representations under appropriate initial and boundary conditions. To validate the accuracy and reliabil ity of the proposed approach, some examples are studied. The results con rm that the Shehu Transformation Method is a simple, accurate, and powerful technique for solving complex fractional di erential models, including the T. Regge problem