Fractional Noether's Theorem with Classical and Riemann-Liouville Derivatives
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Publication:6235497
DOI10.1109/CDC.2012.6426162arXiv1209.1330WikidataQ57650896 ScholiaQ57650896MaRDI QIDQ6235497
Gastão S. F. Frederico, Delfim F. M. Torres
Publication date: 6 September 2012
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.
Fractional derivatives and integrals (26A33) Optimality conditions for free problems in one independent variable (49K05)
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