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- W4226087536 abstract "Abstract 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." @default.
- W4226087536 created "2022-05-05" @default.
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- W4226087536 date "2022-04-08" @default.
- W4226087536 modified "2023-09-30" @default.
- W4226087536 title "Optimal feedback control for fractional evolution equations with nonlinear perturbation of the time-fractional derivative term" @default.
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- W4226087536 doi "https://doi.org/10.1186/s13661-022-01604-2" @default.
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