An Analysis on the Optimal Control for Fractional Stochastic Delay Integrodifferential Systems of Order 1 < γ < 2

M Johnson, V Vijayakumar - Fractal and Fractional, 2023 - mdpi.com
The purpose of this paper is to investigate the optimal control for fractional stochastic
integrodifferential systems of order 1< γ< 2. To ensure the existence and uniqueness of mild …

Optimal control results for second‐order semilinear integro‐differential systems via resolvent operators

AP Singh, UP Singh, A Shukla - Optimal Control Applications …, 2024 - Wiley Online Library
In the framework of a second‐order semilinear integro‐differential control system in Hilbert
spaces, the paper provides sufficient conditions for proving the existence of optimal control …

Existence and Optimal Controls for Generalized Riemann–Liouville Fractional Sobolev‐Type Stochastic Integrodifferential Equations of Order ϑ∈(1, 2) ϑ ∈\left (1, 2 …

M Johnson, V Vijayakumar… - Mathematical Methods in …, 2025 - Wiley Online Library
This manuscript addresses the optimal control of generalized Riemann–Liouville fractional
(Hilfer fractional) Sobolev‐type stochastic differential equations of order ϑ∈(1, 2) ϑ …

Nonconvex optimal control problems for semi-linear neutral integro-differential systems with infinite delay

H Huang, X Fu - Journal of Differential Equations, 2025 - Elsevier
In this work, by using the theory of fundamental solution and resolvent operators, we
investigate the existence of solutions for Bolza optimal control problems for a semi-linear …