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Noether's Theorem for Fractional Optimal Control Problems

Gastao S. F. Frederico·Delfim F. M. Torres
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Abstract

We begin by reporting on some recent results of the authors (Frederico and Torres, 2006), concerning the use of the fractional Euler-Lagrange notion to prove a Noether-like theorem for the problems of the calculus of variations with fractional derivatives. We then obtain, following the Lagrange multiplier technique used in (Agrawal, 2004), a new version of Noether's theorem to fractional optimal control systems.

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Gastao S. F. Frederico, Delfim F. M. Torres. 2006-03-25. Noether's Theorem for Fractional Optimal Control Problems. https://doi.org/10.3182/20060719-3-pt-4902.00013

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