Fractional Noether’s theorem in the Riesz–Caputo sense
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摘要
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.
论文关键词：Calculus of variations,Optimal control,Fractional derivatives,Invariance,Noether’s theorem,Leitmann’s direct method
论文评审过程：Available online 2 February 2010.
论文官网地址：https://doi.org/10.1016/j.amc.2010.01.100
