Results on some robust multi-cost variational models

Savin Treanţă; Muhammad Uzair Awan; Muhammad Zakria Javed; Bandar Bin-Mohsin; Savin Treanţă; Muhammad Uzair Awan; Muhammad Zakria Javed; Bandar Bin-Mohsin

doi:10.3934/math.2025044

AIMS Mathematics

2025, Volume 10, Issue 1: 932-950. doi: 10.3934/math.2025044

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Research article

Results on some robust multi-cost variational models

1.
Department of Applied Mathematics, National University of Science and Technology Politehnica Bucharest, 060042 Bucharest, Romania
2.
Academy of Romanian Scientists, 54 Splaiul Independentei, 050094 Bucharest, Romania
3.
Fundamental Sciences Applied in Engineering-Research Center, National University of Science and Technology Politehnica Bucharest, 060042 Bucharest, Romania
4.
Department of Mathematics, Government College University, Faisalabad, Pakistan
5.
Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

Received: 19 September 2024 Revised: 30 December 2024 Accepted: 06 January 2025 Published: 15 January 2025
MSC : 90C32, 26B25, 90C17, 49J20, 90C46

In this study, a new family of robust multiobjective fractional variational control problems was introduced and investigated. To this end, a dual model was associated with the class of problems. Further, by considering variants of convexity for the involved functionals (determined by curvilinear integrals that did not depend on the path), we provided some characterization and equivalence results for the considered models. Moreover, an illustrative numerical example was formulated.
- control,
- uncertain data,
- dual model,
- curvilinear integral functional,
- variational models
Citation: Savin Treanţă, Muhammad Uzair Awan, Muhammad Zakria Javed, Bandar Bin-Mohsin. Results on some robust multi-cost variational models[J]. AIMS Mathematics, 2025, 10(1): 932-950. doi: 10.3934/math.2025044

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Abstract

In this study, a new family of robust multiobjective fractional variational control problems was introduced and investigated. To this end, a dual model was associated with the class of problems. Further, by considering variants of convexity for the involved functionals (determined by curvilinear integrals that did not depend on the path), we provided some characterization and equivalence results for the considered models. Moreover, an illustrative numerical example was formulated.

References

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