Optimal feedback control for fractional evolution equations with nonlinear perturbation of the time-fractional derivative term

Autor: Parinya Sa Ngiamsunthorn, Apassara Suechoei
Rok vydání: 2022
Předmět:
Zdroj: Boundary Value Problems. 2022
ISSN: 1687-2770
DOI: 10.1186/s13661-022-01604-2
Popis: We study the optimal feedback control for fractional evolution equations with a nonlinear perturbation of the time-fractional derivative term involving Caputo fractional derivatives with arbitrary kernels. Firstly, we derive a mild solution in terms of the semigroup operator generated by resolvents and a kernel from the general Caputo fractional operators and establish the existence and uniqueness of mild solutions for the feedback control systems. Then, the existence of feasible pairs by applying Filippov’s theorem is obtained. In addition, the existence of optimal control pairs for the Lagrange problem has been investigated.
Databáze: OpenAIRE
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