Fractional variational integrators for fractional Euler-Lagrange equations with holonomic constraints

摘要

In this paper, the fractional variational integrators developed by Wang and Xiao (2012) [28] are extended to the fractional Euler-Lagrange (E-L) equations with holonomic constraints. The corresponding fractional discrete E-L equations are derived, and their local convergence is discussed. Some fractional variational integrators are presented. The suggested methods are shown to be efficient by some numerical examples.