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Multiobjective fractional variational calculus in terms of a combined Caputo derivative |
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| Authors: | Agnieszka B. Malinowska Delfim F.M. Torres |
| Affiliation: | a Faculty of Computer Science, Bia?ystok University of Technology, 15-351 Bia?ystok, Poland b Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal |
| 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. |
| Keywords: | Variational analysis Multiobjective optimization Fractional Euler-Lagrange equations Fractional derivatives in the sense of Caputo Pareto minimizers |
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