An analysis on asymptotic stability of Hilfer fractional stochastic evolution equations with infinite delay

J Pradeesh, V Vijayakumar - Optimization, 2024 - Taylor & Francis
This article deals with the existence and asymptotic stability in the p-th moment of a mild
solution for Hilfer fractional stochastic delay differential equations in Hilbert spaces. Our …

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 …

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 …

[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 …