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<p>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.</p>

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Optimality and Duality for an Interval-Valued Variational Programming Problem with a Caputo–Fabrizio Fractional Derivative Under Generalized Convexity

  • 期刊论文

  • 发表日期：

    2025年11月21日

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  • Krishna Kummari,
  • Vivekananda Rayanki,
  • Izhar Ahmad

摘要

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.