Optimal Control Problems for Semilinear Retarded Functional Differential Equations

New discussion concerning to optimal control for semilinear population dynamics system in Hilbert spaces

“…In recent years, the existence and uniqueness of mild solution, optimal control, timeoptimal control approximate control, and exact control for fractional-order, integer-order, integro -differential system, neutral system, etc. have been studied by many researcher's articles [1][2][3][7][8][9][11][12][13][14][15][16][17][18][19][20][21][22][23][24][26][27][28][29][30][32][33][34][35]. In [6], the authors obtained the existence and optimal control results using Krasnoselskii's fixed point theorem and minimizing sequence concept for the second-order stochastic differential equations having mixed fractional Brownian motion.…”

Optimal control problem for fractional stochastic nonlocal semilinear system

“…In [22] authors studied optimal control problems in Hilbert space for an abstract semilinear control system with delay. They considered different set of cost functions, like observation of terminal value and averaging observation control.…”

A note on the existence and optimal control for mixed Volterra–Fredholm‐type integrodifferential dispersion system of third order

“…Many research works [19–27,30–44] have explored the existence and uniqueness, optimal control, and time‐optimal control for fractional‐order, integer‐order, integrodifferential system, neutral system, and so on in recent years. The authors of an earlier study [36] used Krasnoselskii's fixed‐point theorem and the minimizing sequence notion to achieve existence and optimal control conclusions for a second‐order stochastic differential equations with mixed‐fractional Brownian motion.…”