A Collocation-Shooting Method for Solving Fractional Boundary Value Problems for Generalized Bagley Torvik Equation

Abstract

We present a method for solving the boundary value problems for the generalized Bagley-Torvik (BGT) equation. The problem involves Caputo fractional derivatives of order ?, 0 < ? < 2. The existence and the uniqueness of the solution are presented. For the numerical solution, we apply the collocation-shooting method. A numerical investigation is given on an example with a non-polynomial exact solution. Results are presented via tables and figures illustrating the efficiency in accuracy of the method. © 2024 American Institute of Physics Inc.. All rights reserved.