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

Frederico, Gastao S. F.; Torres, Delfim F. M.

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

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Description

The 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 pages