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Zbl 1154.49016
Frederico, Gastão S.F.; Torres, Delfim F.M.
Fractional optimal control in the sense of Caputo and the fractional Noether's theorem.
(English)
[J] Int. Math. Forum 3, No. 9-12, 479-493 (2008). ISSN 1312-7594; ISSN 1314-7536/e

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 2000:
*49K15 Optimal control problems with ODE (nec./ suff.)
26A33 Fractional derivatives and integrals (real functions)

Keywords: fractional optimal control; Caputo derivatives; Riemann-Liouville derivatives; Noether's theorem

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