Discussion on optimal feedback control for stochastic fractional differential system by hemivariational inequalities

S Vivek, V Vijayakumar - Journal of Control and Decision, 2024 - Taylor & Francis
This study focuses on optimal feedback control for stochastic Caputo fractional evolution
systems in separable Hilbert spaces. Initially, we deal with the existence of a mild solution …

Discussion on the existence and controllability of Hilfer fractional stochastic differential equation with non-dense domain

A Priyadharshini, V Vijayakumar - Journal of Control and Decision, 2024 - Taylor & Francis
This article studies the approximate controllability for a class of fractional control system with
semigroup operators governed by differential equations with Hilfer fractional derivatives of …

Approximate controllability of damped second-order neutral differential equations with state-dependent delay

R Sasikumar, V Vijayakumar - International Journal of Control, 2024 - Taylor & Francis
This article discusses the approximate controllability of damped second-order neutral
differential equations with state-dependent delay. The results are obtained using strongly …

A note on the approximate controllability of damped second-order differential inclusions with state-dependent delay

R Sasikumar, V Vijayakumar - Optimization, 2024 - Taylor & Francis
In this paper, we use Bohnenblust–Karlin's fixed point theorem and the theory of strongly
continuous cosine families of bounded linear operators to study the approximate …

On the approximate controllability of second-order stochastic differential systems with hemivariational inequalities with damping

RS Shanmugapriya, V Vijayakumar - Optimization, 2024 - Taylor & Francis
In this article, we investigate the approximate controllability of damping second-order
stochastic differential systems with hemivariational inequalities. First, we show the existence …

Discussion on the Approximate Controllability of Second-Order Neutral Differential Inclusions with Damping

R Sasikumar, V Vijayakumar - Qualitative Theory of Dynamical Systems, 2024 - Springer
In this paper, the approximate controllability problem is discussed for second-order neutral
differential inclusions with damping in Banach spaces. The study establishes the existence …

On Leibniz type rule for generalized fractional derivatives

W Abdelhedi - Bulletin des Sciences Mathématiques, 2024 - Elsevier
In this paper, we present a new Leibniz-type rule for two variants of the most generalized
fractional derivatives; the regularized ψ-Hilfer derivative and the (k, ψ)-Hilfer derivative. As a …

[PDF][PDF] Solvability and controllability of second-order non-autonomous impulsive neutral evolution hemivariational inequalities

YK Ma, N Valliammal, K Jothimani… - AIMS …, 2024 - aimspress.com
The primary aim of this article is to explore the approximate controllability of second-order
impulsive hemivariational inequalities with initial conditions in Hilbert space. The mild …

Approximate Controllability for Semilinear Fractional Stochastic Evolution Equations

Y Jiang, J Ren, Y Wei, J Xue - Qualitative Theory of Dynamical Systems, 2024 - Springer
In this paper, we show the approximate controllability for a class of semilinear fractional
stochastic systems in abstract space with the Riemann–Liouville fractional derivative. The …