RT journal article T1 Robust controlled vector variational inequalities for multi-dimensional fractional control optimization problems A1 Jayswal, Anurag A1 Baranwal, Ayushi A1 Arana Jiménez, Manuel A2 Estadística e Investigación Operativa K1 fractional control optimization problem K1 convexity K1 robust efficient solution K1 uncertainty K1 variational inequality AB 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. PB Polska Akademia Nauk SN 2300-2611 YR 2024 FD 2024 LK http://hdl.handle.net/10498/35606 UL http://hdl.handle.net/10498/35606 LA eng DS Repositorio Institucional de la Universidad de Cádiz RD 10-nov-2026