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The study of fractional variational problems with derivatives in the sense ofCaputo is a recent subject, the main results being Agrawal's necessaryoptimality conditions of Euler-Lagrange and respective transversalityconditions. Using Agrawal's Euler-Lagrange equation and the Lagrange multipliertechnique, we obtain here a Noether-like theorem for fractional optimal controlproblems in the sense of Caputo.

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