1 citations · 2 across the 6 of their papers we have counts for
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On the optimality conditions for a fractional diffusive equation with a nonlocal term
Jasarat Gasimov, Nazim Mahmudov
We study a bilinear OCP for an evolution equation governed by the fractional Laplacian of order , incorporating a nonlocal time component modeled by an integral kernel.…
Second-order maximum principle controlled weakly singular Volterra integral equations
Jasarat J. Gasimov, Nazim I. Mahmudov
This work studies a class of singular Volterra integral equations that are (controlled) and can be applied to memory-related problems.For optimum controls, we prove a second-order…
Necessary first and second order optimality conditions for a fractional order differential equation with state delay
Jasarat J. Gasimov, Nazim I. Mahmudov
In this research paper, we examine an optimal control problem involving a dynamical system governed by a nonlinear Caputo fractional time-delay state equation. The primary objectiv…
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…