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Multidimensional fractional control problem with KT-pseudoinvexity
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Abstract
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.
Springer Science and Business Media LLC
Title: Multidimensional fractional control problem with KT-pseudoinvexity
Description:
Abstract
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.
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