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Fractional optimal control in the sense of Caputo and the fractional Noether’s theorem. (English) Zbl 1154.49016
Summary: 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.
MSC:
49K15Optimal control problems with ODE (optimality conditions)
26A33Fractional derivatives and integrals (real functions)