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math.OC2021★ 4 cited
Optimal Control Problems Involving Combined Fractional Operators with General Analytic Kernels
Faical Ndairou, Delfim F. M. Torres
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 t…
math.OC2021★ 7 cited
Pontryagin Maximum Principle for Distributed-Order Fractional Systems
Faical Ndairou, Delfim F. M. Torres
We consider distributed-order non-local fractional optimal control problems with controls taking values on a closed set and prove a strong necessary optimality condition of Pontrya…
math.OC2020
Distributed-Order Non-Local Optimal Control
Faical Ndairou, Delfim F. M. Torres
Distributed-order fractional non-local operators have been introduced and studied by Caputo at the end of the 20th century. They generalize fractional order derivatives/integrals i…