Abstract :
This paper presents a family of computational schemes for the solution to
the Bagley-Torvik equation. The schemes are based on the reformulation of the original
problem into a system of fractional di erential equations of order 1/2. Then, suitable
exponential integrators are devised to solve the resulting system accurately. The attainable
order of convergence of exponential integrators for solving the fractional problem is studied.
Theoretical ndings are validated by means of some numerical examples. The advantages
of the proposed method are illustrated by comparing several existing methods.
