Efficiency Criteria in Fractional Vector Control Problems

Abstract

The necessary and sufficient conditions for achieving optimality in multiobjective fractional control problems with multiple integrals are derived and verified in this study. These problems are analysed using fractional calculus, particularly the Riemann–Liouville integral, which generalises traditional integer-order integrals to non-integer orders, allowing for more flexible modelling of real-world systems. Under the assumption of quasiinvexity, we present adequate conditions for the efficiency of feasible solutions.