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Title: Fractional calculus of variations of several independent variables
Author: Odzijewicz, T.
Malinowska, A. B.
Torres, D. F. M.
Issue Date: 2013
Publisher: EDP Sciences
Abstract: We prove multidimensional integration by parts formulas for generalized fractional derivatives and integrals. The new results allow us to obtain optimality conditions for multidimensional fractional variational problems with Lagrangians depending on generalized partial integrals and derivatives. A generalized fractional Noether's theorem, a formulation of Dirichlet's principle and an uniqueness result are given. © 2013 EDP Sciences and Springer.
Peer review: yes
DOI: 10.1140/epjst/e2013-01966-0
ISSN: 1951-6355
Appears in Collections:CIDMA - Artigos

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