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Title: Fractional variational problems depending on indefinite integrals
Author: Almeida, R.
Pooseh, S.
Torres, D.F.M.
Keywords: Calculus of variations
Caputo derivatives
Fractional calculus
Fractional necessary optimality conditions
Issue Date: 2012
Publisher: Elsevier
Abstract: We obtain necessary optimality conditions for variational problems with a Lagrangian depending on a Caputo fractional derivative, a fractional and an indefinite integral. Main results give fractional Euler-Lagrange type equations and natural boundary conditions, which provide a generalization of the previous results found in the literature. Isoperimetric problems, problems with holonomic constraints and depending on higher-order Caputo derivatives, as well as fractional Lagrange problems, are considered. © 2011 Elsevier Ltd. All rights reserved.
Peer review: yes
DOI: 10.1016/
ISSN: 0362-546X
Appears in Collections:CIDMA - Artigos
DMat - Artigos

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