Optimal Control for Non-Cooperative Systems Involving Fractional Laplace Operator

Hassan Mohamed Serag, Abd-Allah Ahmed Hyder, Mahmoud Ahmed EL-Badawy


This study investigates the optimal control problem associated with n × n non-cooperative systems, including the fractional Laplace operator. The non-local issue is recast as a local problem. As a consequence, in these systems, the existence and uniqueness of the weak solution are established. A system’s existence and optimal control conditions are also established.


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