A New Generalized Differential Transform Method for Analytical Solutions of the Bagley-Torvik Equation

This study utilizes the New Generalized Differential Transform method to approximate solutions for the nonlinear Bagley-Torvik equation with fractional order, while considering boundary conditions. Three problems were solved to evaluate the accuracy and efficacy of the proposed numerical methods. The computational results are presented through tables and figures. By comparing these results with alternative methods documented in existing literature, the superiority of the proposed method is demonstrated. The findings suggest that the method is not only effective but also straightforward to implement, providing a high level of accuracy in solving fractional boundary value problems.