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Characterization Results of Solution Sets Associated with Multiple-Objective Fractional Optimal Control Problems

Author

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  • Savin Treanţă

    (Department of Applied Mathematics, University Politehnica of Bucharest, 060042 Bucharest, Romania
    Academy of Romanian Scientists, 54 Splaiul Independentei, 050094 Bucharest, Romania
    Fundamental Sciences Applied in Engineering-Research Center (SFAI), University Politehnica of Bucharest, 060042 Bucharest, Romania)

  • Tareq Saeed

    (Financial Mathematics and Actuarial Science (FMAS)-Research Group, Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah 21589, Saudi Arabia)

Abstract

This paper investigates some duality results of a mixed type for a class of multiple objective fractional optimal control problems. More precisely, by considering the Wolfe- and Mond–Weir-type dualities, we formulate a robust mixed-type dual problem and, under suitable convexity assumptions of the involved functionals, we establish some equivalence results between the solution sets of the considered models. Essentially, we investigate robust weak, robust strong, and robust strict converse-type duality results. To the best of the authors’ knowledge, robust duality results for such problems are new in the specialized literature.

Suggested Citation

  • Savin Treanţă & Tareq Saeed, 2023. "Characterization Results of Solution Sets Associated with Multiple-Objective Fractional Optimal Control Problems," Mathematics, MDPI, vol. 11(14), pages 1-13, July.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:14:p:3191-:d:1198789
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    References listed on IDEAS

    as
    1. Khadija Khazafi & Norma Rueda & Per Enflo, 2010. "Sufficiency and duality for multiobjective control problems under generalized (B, ρ)-type I functions," Journal of Global Optimization, Springer, vol. 46(1), pages 111-132, January.
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