In this paper, the Bagley-Torvik equation is constructed. A model approach based on non-polynomial numerical methods spline interpolation is developed to solve some problems. We show that the approximate solutions of such problems obtained by the numerical algorithm developed using non-polynomial spline interpolation functions are better than those produced by other numerical methods. The aim o...

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 investi...

This work proposes a valuable and successful strategy for approximating the solutions to Bagley–Torvik system, which plays an essential role in fractional calculus. The Caputo sense is used derive basic conformable fractional. problem numerically solved this study using effective symmetric projection method. From symmetry, there are some interesting original results. proposed approach has two k...