Applying Kamal Transformation Method to Solve Fractional Order T. Regge Problem

Abstract

The aim of this work is to solve the fractional order T. Regge problem by applying a unique transformation technique called the Kamal transform. It focuses mostly on the application of Kamal's transformation methodology to the solution of fractional differential equations (FDEs), especially with regard to the boundary value fractional order T. Regge problem. Furthermore, Kamal transformation formulas for fractional derivatives and fractional integrals are derived, the benefits and drawbacks of the methodology are examined, and multiple instances are shown to demonstrate the practicality of the technique. As seen by the examples we presented, the Kamal transformation methodology provides guaranteed solutions for FDEs, which have a substantial impact on the field of fractional computation.