Larsen, Aaron; Chow, Sum (Brigham Young University)
Faculty Advisor: Chow, Sum (Brigham Young University, Mathematics)
Many definitions and fractional derivative operators are used in the application of mathematics. This paper analyzes a newly presented definition of the fractional derivative by R. Khali, el al. Numerical methods, specifically the finite difference method using boundary conditions, are applied to the Bagley-Torvik equation. This equation is used to describe the motion of a rigid plate in a Newtonian fluid. This results of using this new definition are then compared to those of the known fractional derivative operators of Riemann-Liouville and Caputo.