Fractional Optimal Control in the Sense of Caputo and the Fractional Noether's Theorem

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/145949The study of fractional variational problems with derivatives in the sense of Caputo is a recent subject, the main results being Agrawal's necessary optimality conditions of Euler-Lagrange and respective transversality conditions. Using Agrawal's Euler-Lagrange equation and the Lagrange multiplier technique, we obtain here a Noether-like theorem for fractional optimal control problems in the sense of Caputo.16 pagesOptimization and ControlMathematical Physics49K05; 26A33Fractional Optimal Control in the Sense of Caputo and the Fractional Noether's Theoremtext