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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…
Weak Pontryagin's Maximum Principle for Optimal Control Problems Involving a General Analytic Kernel
Faical Ndairou, Delfim F. M. Torres
We prove a duality relation and an integration by parts formula for fractional operators with a general analytical kernel. Based on these basic results, we are able to prove a new…
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…
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…