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Title: Noether's theorem for fractional variational problems of variable order
Author: Odzijewicz, T.
Malinowska, A. B.
Torres, D. F. M.
Keywords: Euler-Lagrange equations
Fractional variational analysis
Noether's theorem
Variable order fractional derivatives
Variable order fractional integrals
Issue Date: 2013
Publisher: Springer Verlag
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. © 2013 Versita Warsaw and Springer-Verlag Wien.
Peer review: yes
DOI: 10.2478/s11534-013-0208-2
ISSN: 1895-1082
Appears in Collections:CIDMA - Artigos

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