Fractional Noether's theorem in the Riesz-Caputo sense

Details Fractional Noether's theorem in the Riesz-Caputo sense Fractional Noether's theorem in the Riesz-Caputo sense

2010-01-25

arxiv.org/abs/1001.4507v1

Appl. Math. Comput. 217 (2010), no. 3, 1023--1033

Mathematics

Optimization and Control

Accepted (25/Jan/2010) for publication in Applied Mathematics and Computation

Scientific paper

10.1016/j.amc.2010.01.100

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.

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