Robust duality in multi-dimensional vector fractional variational control problem

This paper deals with the investigation of vector fractional variational control problem taking data uncertainty into account. Several kinds of dual for fractional variational problems have been explored in the literature. Here, the Wolfe type dual of the problem under consideration is formulated. Moreover, significant duality results are developed for the purpose of extending the theorems to wider areas by assuming the involved functionals to be convex. Further, an illustrative example is provided to validate the results obtained.