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Research Article | Open Access

Results on some robust multi-cost variational models

Savin Treanţă1,2,3, Muhammad Uzair Awan4, Muhammad Zakria Javed4, Bandar Bin-Mohsin5( )
Department of Applied Mathematics, National University of Science and Technology Politehnica Bucharest, 060042 Bucharest, Romania
Academy of Romanian Scientists, 54 Splaiul Independentei, 050094 Bucharest, Romania
Fundamental Sciences Applied in Engineering-Research Center, National University of Science and Technology Politehnica Bucharest, 060042 Bucharest, Romania
Department of Mathematics, Government College University, Faisalabad, Pakistan
Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
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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.

Keywords

controluncertain datadual modelcurvilinear integral functionalvariational models
CLC number: 90C32, 26B25, 90C17, 49J20, 90C46

References

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AIMS Mathematics
Volume 10 Issue 1,
January 2025
Pages 932-950
DOI: 10.3934/math.2025044

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Cite this article:
Treanţă S, Awan MU, Javed MZ, et al. Results on some robust multi-cost variational models. AIMS Mathematics, 2025, 10(1): 932-950. https://doi.org/10.3934/math.2025044

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Received: 19 September 2024
Revised: 30 December 2024
Accepted: 06 January 2025
Published: 15 January 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)