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arXiv · 1209.1330

Fractional Noether's Theorem with Classical and Riemann-Liouville Derivatives

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

We prove a Noether type symmetry theorem to fractional problems of the calculus of variations with classical and Riemann-Liouville derivatives. As result, we obtain constants of motion (in the classical sense) that are valid along the mixed classical/fractional Euler-Lagrange extremals. Both Lagrangian and Hamiltonian versions of the Noether theorem are obtained. Finally, we extend our Noether's theorem to more general problems of optimal control with classical and Riemann-Liouville derivatives.

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Gastao S. F. Frederico, Delfim F. M. Torres. 2012-09-06. Fractional Noether's Theorem with Classical and Riemann-Liouville Derivatives. https://doi.org/10.1109/cdc.2012.6426162

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