Abstract
This study investigates a novel class of variational programming problems characterized by fractional interval values, formulated under the Caputo–Fabrizio fractional derivative with an exponential kernel. Invex and generalized invex functions are used to discuss the Mond–Weir-type dual problem for the considered variational problem. The pertinent duality theorems are developed in this study to connect the primal and its dual problems, namely the weak, strong, and converse duality theorems for a Mond–Weir-type dual problem. Several numerical examples are provided to demonstrate the applicability of the theoretical results. This work contributes to the expanding application of fractional calculus and interval optimization in addressing complex, real-world problems in science and engineering.
| Original language | English |
|---|---|
| Pages (from-to) | 497-514 |
| Number of pages | 18 |
| Journal | Asian Journal of Control |
| Volume | 28 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 2026 |
Bibliographical note
Publisher Copyright:© 2025 The Author(s). Asian Journal of Control published by John Wiley & Sons Australia, Ltd on behalf of Chinese Automatic Control Society.
Keywords
- Caputo–Fabrizio fractional derivative
- LU optimal solution
- Mond–Weir duality
- generalized invexity
- interval-valued programming problem
- variational problem
ASJC Scopus subject areas
- Control and Systems Engineering
- Mathematics (miscellaneous)
- Electrical and Electronic Engineering
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