Noether's theorem of Hamiltonian systems with generalized fractional derivative operators

摘要

In this paper, we present two “transfer formulas” for generalized fractional derivative operators, and derive a Noether type symmetry theorem of fractional Hamiltonian systems with generalized fractional derivative operators. As a result, we obtain constants of motion that are valid along Hamiltonian extremals for fractional derivatives. This theorem provides an explicit algorithmic way to compute a constants of motion for Hamiltonian systems with generalized fractional derivatives operator admitting a symmetry.