Abstract
This paper investigates a class of interval-valued variational programming problems (IVCF) involving the Caputo–Fabrizio fractional derivative. By employing the LU optimality approach alongside generalized convexity assumptions, we establish sufficient Karush–Kuhn–Tucker-type optimality conditions for the (IVCF) framework. Furthermore, under generalized convexity hypotheses, a Mond–Weir-type dual problem is formulated, and corresponding weak, strong, and strict converse duality theorems are rigorously derived.
| Original language | English |
|---|---|
| Article number | 250 |
| Journal | International Journal of Applied and Computational Mathematics |
| Volume | 11 |
| Issue number | 6 |
| DOIs | |
| State | Published - Dec 2025 |
Bibliographical note
Publisher Copyright:© The Author(s), under exclusive licence to Springer Nature India Private Limited 2025.
Keywords
- Caputo–Fabrizio fractional derivative
- Duality
- Interval-valued programming problem
- LU Optimal solution
- Optimality
- Variational problem
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics
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