Results on some robust multi-cost variational models
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 int...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2025-01-01
|
| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2025044 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850087579548909568 |
|---|---|
| author | Savin Treanţă Muhammad Uzair Awan Muhammad Zakria Javed Bandar Bin-Mohsin |
| author_facet | Savin Treanţă Muhammad Uzair Awan Muhammad Zakria Javed Bandar Bin-Mohsin |
| author_sort | Savin Treanţă |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-5eee39b851d84342be00b5289bdec28d |
| institution | DOAJ |
| issn | 2473-6988 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-5eee39b851d84342be00b5289bdec28d2025-08-20T02:43:12ZengAIMS PressAIMS Mathematics2473-69882025-01-0110193295010.3934/math.2025044Results on some robust multi-cost variational modelsSavin Treanţă0Muhammad Uzair Awan1Muhammad Zakria Javed2Bandar Bin-Mohsin3Department of Applied Mathematics, National University of Science and Technology Politehnica Bucharest, 060042 Bucharest, RomaniaDepartment of Mathematics, Government College University, Faisalabad, PakistanDepartment of Mathematics, Government College University, Faisalabad, PakistanDepartment of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaIn 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.https://www.aimspress.com/article/doi/10.3934/math.2025044controluncertain datadual modelcurvilinear integral functionalvariational models |
| spellingShingle | Savin Treanţă Muhammad Uzair Awan Muhammad Zakria Javed Bandar Bin-Mohsin Results on some robust multi-cost variational models AIMS Mathematics control uncertain data dual model curvilinear integral functional variational models |
| title | Results on some robust multi-cost variational models |
| title_full | Results on some robust multi-cost variational models |
| title_fullStr | Results on some robust multi-cost variational models |
| title_full_unstemmed | Results on some robust multi-cost variational models |
| title_short | Results on some robust multi-cost variational models |
| title_sort | results on some robust multi cost variational models |
| topic | control uncertain data dual model curvilinear integral functional variational models |
| url | https://www.aimspress.com/article/doi/10.3934/math.2025044 |
| work_keys_str_mv | AT savintreanta resultsonsomerobustmulticostvariationalmodels AT muhammaduzairawan resultsonsomerobustmulticostvariationalmodels AT muhammadzakriajaved resultsonsomerobustmulticostvariationalmodels AT bandarbinmohsin resultsonsomerobustmulticostvariationalmodels |