Abstract
This article focuses on a specific type of interval‐valued variational programming problem (IVVCF) involving the Caputo–Fabrizio fractional derivative. The notion of a LU optimal solution is discussed concerning problems of this type. The Karush–Kuhn–Tucker type necessary and sufficient optimality conditions are constructed for an (IVVCF) using the LU optimal concept. In addition to this, a Wolfe‐type dual model is developed for an (IVVCF) and discussed the required duality theorems.
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