A method for determining the analytical solution for Bagley Torvik equations with fractional derivatives

This paper presents the method called Piecewise Polynomial Least Squares Method (PWPLSM) for determining the approximate analytical solution for Bagley Torvik fractional differential equation. The equation models the deformation resistance characteristics of different polymers, having applicability in various branches of engineering. The paper focuses on the operation of the PWPLSM method and its accuracy.