4.7 Article

Multiobjective fractional variational calculus in terms of a combined Caputo derivative

期刊

APPLIED MATHEMATICS AND COMPUTATION
卷 218, 期 9, 页码 5099-5111

出版社

ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2011.10.075

关键词

Variational analysis; Multiobjective optimization; Fractional Euler-Lagrange equations; Fractional derivatives in the sense of Caputo; Pareto minimizers

资金

  1. Portuguese Foundation for Science and Technology through the R&D unit Center for Research and Development in Mathematics and Applications
  2. BUT [S/WI/2/2011]
  3. FCT (Portugal) [UTAustin/MAT/0057/2008]

向作者/读者索取更多资源

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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