Optimal Control Problems Involving Combined Fractional Operators with General Analytic Kernels
Keyword(s):
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.
2016 ◽
Vol 24
(1)
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pp. 18-36
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2016 ◽
Vol 12
(2)
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pp. 83-94
2014 ◽
Vol 165
(1)
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pp. 30-61
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2019 ◽
Vol 351
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pp. 344-363
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2016 ◽
Vol 45
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pp. 59-74
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2017 ◽
Vol 40
(6)
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pp. 2054-2061
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