<p>This study presents a multidimensional fractional control problem characterized by Kuhn-Tucker (KT)-pseudoinvexity. We propose a novel condition for the functions involved in such problems and establish that a KT point corresponds to an optimal solution within the KT-pseudoinvex framework. The analysis integrates fractional integrals, which broadens classical calculus by enabling non-integer order derivatives and integrals, thereby offering a greater flexible and generalized approach for modeling complex real-world phenomena in control systems. Theoretical results are further exemplified through a practical implementation.</p>