2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/163713Using the recent formulation of Noether's theorem for the problems of the calculus of variations with fractional derivatives, the Lagrange multiplier technique, and the fractional Euler-Lagrange equations, we prove a Noether-like theorem to the more general context of the fractional optimal control. As a corollary, it follows that in the fractional case the autonomous Hamiltonian does not define anymore a conservation law. Instead, it is proved that the fractional conservation law adds to the Hamiltonian a new term which depends on the fractional-order of differentiation, the generalized momentum, and the fractional derivative of the state variable.The original publication is available at http://www.springerlink.com Nonlinear DynamicsOptimization and ControlMathematical Physics49K05; 26A33; 70H33text