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Stochastic Maximum Principles and Linear-Quadratic Optimal Control Problems for Fractional Backward Stochastic Evolution Equations in Hilbert Spaces
Javad A. Asadzade, Nazim I. Mahmudov
This paper develops a comprehensive framework for optimal control of systems governed by fractional backward stochastic evolution equations (FBSEEs) in Hilbert spaces. We first est…
Remarks on finite-approximate controllability of impulsive evolution systems via resolvent-like operator in Hilbert spaces
Javad A. Asadzade, Nazim I. Mahmudov
In this manuscript, we examine impulsive evolution systems in Hilbert spaces. Using a resolvent-like operator, we first establish the finite-approximate controllability for linear…
Approximate controllability of impulsive semilinear evolution equations in Hilbert spaces
Javad A. Asadzade, Nazim I. Mahmudov
Several dynamical systems in fields such as engineering, chemistry, biology, and physics show impulsive behavior by reason of unexpected changes at specific times. These behaviors…
Solvability and Optimal Controls of Impulsive Stochastic Evolution Equations in Hilbert Spaces
Javad A. Asadzade, Nazim I. Mahmudov
This paper investigates the solvability and optimal control of a class of impulsive stochastic differential equations (SDEs) within a Hilbert space setting. First, we establish the…
Approximate Controllability of Linear Fractional Impulsive Evolution Equations in Hilbert Spaces
Javad A. Asadzade, Nazim I. Mahmudov
This paper investigates the approximate controllability of linear fractional impulsive evolution equations in Hilbert spaces. The system under consideration involves the Caputo fra…
Pontryagin maximum principle for fractional delay differential equations and controlled weakly singular Volterra delay integral equations
Jasarat J. Gasimov, Javad A. Asadzade, Nazim I. Mahmudov
In this article, we explore two distinct issues. Initially, we examine the utilization of the Pontriagin maximum principle in relation to fractional delay differential equations. A…