Computational Relationship of The Surface Area and Stiffness of the Spring Constant on Fractional Bagley-Torvik Equation

In this paper, we formulate an efficient algorithm based on a new iterative method for the numerical solution of Bagley-Torvik equation. The fractional differential equation arises in many areas applied mathematics including viscoelasticity problems and mechanics oscillation process. We construct derivatives via Caputo-type operator to three-step using MAPLE 18 software package. further investigate relationships between surface area stiffness spring constants three case results are presented demonstrate efficiency proposed algorithm.