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arXiv · 1303.4075

Noether's theorem for fractional variational problems of variable order

Tatiana Odzijewicz·Agnieszka B. Malinowska·Delfim F. M. Torres
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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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Tatiana Odzijewicz, Agnieszka B. Malinowska, Delfim F. M. Torres. 2013-03-17. Noether's theorem for fractional variational problems of variable order. https://doi.org/10.2478/s11534-013-0208-2

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