Please use this identifier to cite or link to this item: http://hdl.handle.net/10773/11904
Title: Multiobjective fractional variational calculus in terms of a combined Caputo derivative
Author: Malinowska, A. B.
Torres, D. F. M.
Keywords: Fractional derivatives in the sense of Caputo
Fractional Euler-Lagrange equations
Multiobjective optimization
Pareto minimizers
Variational analysis
Euler-Lagrange equations
Multi objective
Euler equations
Lagrange multipliers
Variational techniques
Issue Date: 2012
Publisher: Elsevier
Abstract: The study of fractional variational problems in terms of a combined fractional Caputo derivative is introduced. Necessary optimality conditions of Euler-Lagrange type for the basic, isoperimetric, and Lagrange variational problems are proved, as well as transversality and sufficient optimality conditions. This allows to obtain necessary and sufficient Pareto optimality conditions for multiobjective fractional variational problems. © 2011 Elsevier Inc. All rights reserved.
Peer review: yes
URI: http://hdl.handle.net/10773/11904
DOI: 10.1016/j.amc.2011.10.075
ISSN: 0096-3003
Appears in Collections:CIDMA - Artigos

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