In this paper a special kind of variational programming problem involving
fractional interval-valued objective function is considered. For such type
of problem, insights into LU optimal solutions have been discussed. Using
the LU optimal concept, we established optimality conditions for the
considered problem. Further, We formulated a Mond-Weir dual problem and
discussed appropriate duality theorems for the relationship between dual and
primal problems.
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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