[HTML][HTML] On the approximate controllability of semilinear fractional differential systems

R Sakthivel, Y Ren, NI Mahmudov - Computers & Mathematics with …, 2011 - Elsevier
Fractional differential equations have wide applications in science and engineering. In this
paper, we consider a class of control systems governed by the semilinear fractional …

Controllability for a class of fractional-order neutral evolution control systems

R Sakthivel, NI Mahmudov, JJ Nieto - Applied Mathematics and …, 2012 - Elsevier
In this paper, we consider a class of fractional neutral control systems governed by abstract
nonlinear fractional neutral differential equations. This paper deals with the exact …

Approximate controllability of second order nonlocal neutral differential evolution inclusions

V Vijayakumar, R Udhayakumar… - IMA Journal of …, 2021 - academic.oup.com
In our manuscript, we organize a group of sufficient conditions of approximate controllability
for second order nonlocal neutral differential evolution inclusions. Next, we develop the …

Approximate controllability analysis of impulsive neutral functional hemivariational inequalities

N Valliammal, K Jothimani, M Johnson… - … in Nonlinear Science …, 2023 - Elsevier
This article mainly focuses on the existence and approximate controllability of impulsive
neutral functional hemivariational inequalities. The existence of mild solutions and …

An analysis on the approximate controllability of neutral functional hemivariational inequalities with impulses

S Vivek, V Vijayakumar - Optimization, 2024 - Taylor & Francis
In this paper, we study approximate controllability of neutral hemivariational inequality with
impulses. Initially, we derive the mild solution for the given system, for the main results, we …

Approximate controllability of evolution systems with nonlocal conditions

NI Mahmudov - Nonlinear Analysis: Theory, Methods & Applications, 2008 - Elsevier
We study the approximate controllability for the abstract evolution equations with nonlocal
conditions in Hilbert spaces. Assuming the approximate controllability of the corresponding …

[HTML][HTML] On the approximate controllability of fractional evolution equations with compact analytic semigroup

NI Mahmudov, S Zorlu - Journal of Computational and Applied Mathematics, 2014 - Elsevier
In this paper we discuss the approximate controllability of fractional evolution equations
involving Caputo fractional derivative. The results are obtained with the help of the theory of …

Approximate controllability of impulsive differential equations with state-dependent delay

R Sakthivel, ER Anandhi - International Journal of Control, 2010 - Taylor & Francis
In order to describe various real-world problems in physical and engineering sciences
subject to abrupt changes at certain instants during the evolution process, impulsive …

Controllability of stochastic semilinear functional differential equations in Hilbert spaces

JP Dauer, NI Mahmudov - Journal of Mathematical Analysis and …, 2004 - Elsevier
In this paper approximate and exact controllability for semilinear stochastic functional
differential equations in Hilbert spaces is studied. Sufficient conditions are established for …

Approximate controllability of fractional neutral evolution equations in Banach spaces

NI Mahmudov - Abstract and Applied analysis, 2013 - Wiley Online Library
We discuss the approximate controllability of semilinear fractional neutral differential
systems with infinite delay under the assumptions that the corresponding linear system is …