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Noether's theorem for fractional variational problems of variable order

Abstract : We prove a necessary optimality condition of Euler-Lagrange type for fractional variational problems with derivatives of incommensurate variable order. This allows us to state a version of Noether's theorem without transformation of the independent (time) variable. Considered derivatives of variable order are defined in the sense of Caputo.
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https://hal.inria.fr/hal-01067445
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Submitted on : Tuesday, September 23, 2014 - 2:23:52 PM
Last modification on : Thursday, May 2, 2019 - 2:14:37 PM

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Tatiana Odzijewicz, Agnieszka B. Malinowska, Delfim F. M. Torres. Noether's theorem for fractional variational problems of variable order. Central European Journal of Physics, 2013, 11 (6), pp.691-701. ⟨10.2478/s11534-013-0208-2⟩. ⟨hal-01067445⟩

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