@ARTICLE{Jayswal_Anurag_Robust_2024, author={Jayswal, Anurag and Baranwal, Ayushi and Arana-Jiménez, Manuel}, volume={vol. 34}, number={No 2}, journal={Archives of Control Sciences}, pages={349–377}, howpublished={online}, year={2024}, publisher={Committee of Automatic Control and Robotics PAS}, abstract={This paper is devoted to study robust efficiency in terms of variational inequality for a class of 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.}, type={Article}, title={Robust controlled vector variational inequalities for multi-dimensional fractional control optimization problems}, URL={http://sd.czasopisma.pan.pl/Content/131942/art-5.pdf}, doi={10.24425/acs.2024.149664}, keywords={fractional control optimization problem, convexity, robust efficient solution, uncertainty, variational inequality}, }