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