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Journal Articles Reports on Mathematical Physics Year : 2013

Fractional isoperimetric Noether's theorem in the Riemann-Liouville sense

Abstract

We prove Noether-type theorems for fractional isoperimetric variational problems with Riemann-Liouville derivatives. Both Lagrangian and Hamiltonian formulations are obtained. Illustrative examples, in the fractional context of the calculus of variations, are discussed.

Dates and versions

hal-01067433 , version 1 (23-09-2014)

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Gastao S. F. Frederico, Delfim F. M. Torres. Fractional isoperimetric Noether's theorem in the Riemann-Liouville sense. Reports on Mathematical Physics, 2013, 271 (1), pp.291-304. ⟨10.1016/S0034-4877(13)60034-8⟩. ⟨hal-01067433⟩
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