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arXiv · 2109.10945

Optimal Control Problems Involving Combined Fractional Operators with General Analytic Kernels

Faical Ndairou·Delfim F. M. Torres
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Abstract

Fractional optimal control problems via a wide class of fractional operators with a general analytic kernel are introduced. Necessary optimality conditions of Pontryagin type for the considered problem are obtained after proving a Gronwall type inequality as well as results on continuity and differentiability of perturbed trajectories. Moreover, a Mangasarian type sufficient global optimality condition for the general analytic kernel fractional optimal control problem is proved. An illustrative example is discussed.

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Faical Ndairou, Delfim F. M. Torres. 2021-09-22. Optimal Control Problems Involving Combined Fractional Operators with General Analytic Kernels. https://doi.org/10.3390/math9192355

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