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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Central European Journal of Physics, Springer Verlag, 2013, 11 (6), pp.691-701. 〈10.2478/s11534-013-0208-2〉
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Contributeur : Estelle Bouzat <>
Soumis le : mardi 23 septembre 2014 - 14:23:52
Dernière modification le : mercredi 27 juillet 2016 - 14:48:48

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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, Springer Verlag, 2013, 11 (6), pp.691-701. 〈10.2478/s11534-013-0208-2〉. 〈hal-01067445〉

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