%0 Journal Article 
%A Jayswal, Anurag
%A Baranwal, Ayushi
%A Arana Jiménez, Manuel
%T Robust controlled vector variational inequalities for multi-dimensional fractional control optimization problems
%D 2024
%@ 2300-2611

%U http://hdl.handle.net/10498/35606
%X Thispaperisdevotedtostudyrobustefficiencyintermsofvariationalinequalityforaclassof multi-dimensional multi-objective first-order PDE-constrained fractional control optimization problems with data uncertainty (MMFP). We derive a robust controlled vector variational inequality (VI) together with its weak form and discuss equivalence between the solutions of (VI) and (MMFP) via imposing the suitable assumptions. Later on, we study a sufficient condition for the robust weak efficient solution of (MMFP) to be its robust efficient solution under the strict convexity assumption and give some applications to illustrate the established results.
%K fractional control optimization problem
%K convexity
%K robust efficient solution
%K uncertainty
%K variational inequality
%~ Universidad de Cádiz