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Abstract

In this article we focus on optimal control problems involving a nonlinear fractional control system of different orders with Caputo derivatives, associated to a Lagrange cost functional. Based on a lower closure theorem for orientor fields combined with Filippov’s approach, we derive an existence result for at least one optimal solution for such a problem.
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Authors and Affiliations

Rafał Kamocki
1

  1. Faculty of Mathematics and Computer Science, University of Lodz, Banacha 22, 90-238 Łódz, Poland

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