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arXiv:1303.4075 [math.OC]AbstractReferencesReviewsResources

Noether's theorem for fractional variational problems of variable order

Tatiana Odzijewicz, Agnieszka B. Malinowska, Delfim F. M. Torres

Published 2013-03-17Version 1

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.

Comments: This is a preprint of a paper whose final and definite form will appear in Central European Journal of Physics. Paper submitted 30-Jan-2013; revised 12-March-2013; accepted for publication 15-March-2013
Journal: Cent. Eur. J. Phys. 11 (2013), no. 6, 691--701
Categories: math.OC, math-ph, math.MP
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