Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 217, Issue 3, Pages 1023-1033Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2010.01.100
Keywords
Calculus of variations; Optimal control; Fractional derivatives; Invariance; Noether's theorem; Leitmann's direct method
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Funding
- Centre for Research on Optimization and Control (CEOC) of the University of Aveiro
- European Community [FEDER/POCI 2010]
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We prove a Noether's theorem for fractional variational problems with Riesz-Caputo derivatives. Both Lagrangian and Hamiltonian formulations are obtained. Illustrative examples in the fractional context of the calculus of variations and optimal control are given. (C) 2010 Elsevier Inc. All rights reserved.
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