A Fractional Calculus Approach to Interval-Valued Variational Programming Problems
DOI:
https://doi.org/10.29020/nybg.ejpam.v18i3.6617Keywords:
Interval-valued variational programming problem, sufficiency, LU-optimality, Caputo-Fabrizio fractional derivative, Wolfe-type dualityAbstract
This study explores a class of fractional interval-valued variational programming problems involving the Caputo-Fabrizio (C-F) fractional derivative. By employing the concepts of invex and generalized invex functions, we establish sufficient optimality conditions for these problems. Additionally, we develop a Wolfe-type dual formulation and investigate the corresponding duality
relationships. In particular, we derive and prove the weak, strong, and converse duality theorems to establish a connection between the primal and dual problems. The theoretical findings are further illustrated through carefully constructed numerical examples, demonstrating the applicability and effectiveness of the proposed approach.
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Copyright (c) 2025 Vivekananda Rayanki, Krishna Kummari, Izhar Ahmad, Thiti Gaketem
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