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

Savin Treanţă and Tareq Saeed ()
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Savin Treanţă: Department of Applied Mathematics, 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

Mathematics, 2023, vol. 11, issue 14, 1-13

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.

Keywords: dual problem; optimal control; duality results; robust necessary efficiency conditions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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