Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 218, Issue 9, Pages 5099-5111Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2011.10.075
Keywords
Variational analysis; Multiobjective optimization; Fractional Euler-Lagrange equations; Fractional derivatives in the sense of Caputo; Pareto minimizers
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Funding
- Portuguese Foundation for Science and Technology through the R&D unit Center for Research and Development in Mathematics and Applications
- BUT [S/WI/2/2011]
- FCT (Portugal) [UTAustin/MAT/0057/2008]
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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. (C) 2011 Elsevier Inc. All rights reserved.
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