New results on exact controllability of a class of fractional neutral integro-differential systems with state-dependent delay in Banach spaces

C Ravichandran, N Valliammal, JJ Nieto - Journal of the Franklin Institute, 2019 - Elsevier
This article deals with the use of Krasnoselskii's fixed point theorem and Leray–Schauder
alternative theorem combined with resolvent operator and some analytical methods to …

Controllability for a class of second-order evolution differential inclusions without compactness

V Vijayakumar, R Murugesu - Applicable Analysis, 2019 - Taylor & Francis
In this paper, we discuss the existence and controllability for a class of second-order
evolution differential inclusions without compactness in Banach spaces. By applying the …

Existence result for a neutral fractional integro-differential equation with state dependent delay

K Jothimani, N Valliammal… - Journal of Applied …, 2018 - lhscientificpublishing.com
In this article, we establish the existence of mild solutions for a class of fractional neutral
integro-differential equation with state dependent in Banach space. The results are obtained …

Approximate controllability of second-order evolution differential inclusions in Hilbert spaces

NI Mahmudov, V Vijayakumar, R Murugesu - Mediterranean Journal of …, 2016 - Springer
In this paper, we consider a class of second-order evolution differential inclusions in Hilbert
spaces. This paper deals with the approximate controllability for a class of second-order …

Results on fractional neutral integro-differential systems with state-dependent delay in Banach spaces.

N Valliammal, C Ravichandran - Nonlinear Studies, 2018 - search.ebscohost.com
In this manuscript, we have a notion to implement Banach contraction principle along with
the help of resolvent operator to analyze the existence of class of neutral fractional integro …

New results on Caputo fractional-order neutral differential inclusions without compactness

MA Alqudah, C Ravichandran, T Abdeljawad… - Advances in Difference …, 2019 - Springer
This article deals with existence results of Caputo fractional neutral inclusions without
compactness in Banach space using weak topology. In fact, for weakly sequentially closed …

Approximate controllability results for abstract neutral integro-differential inclusions with infinite delay in Hilbert spaces

V Vijayakumar - IMA Journal of Mathematical Control and …, 2018 - academic.oup.com
In this paper, we consider a class of abstract neutral integro-differential inclusions with
infinite delay in Hilbert spaces. We establishes a set of sufficient conditions for the …

[PDF][PDF] Controllability results for fractional order neutral functional differential inclusions with infinite delay

Y Zhou, V Vijayakumar, C Ravichandran… - Fixed Point …, 2017 - researchgate.net
In this paper, we investigate the controllability results for fractional order neutral functional
differential inclusions with an infinite delay involving the Caputo derivative in Banach …

Approximate controllability results for analytic resolvent integro-differential inclusions in Hilbert spaces

V Vijayakumar - International Journal of Control, 2018 - Taylor & Francis
In this work, we consider a nonlinear resolvent integro-differential evolution inclusions in
Hilbert spaces. This paper deals with the approximate controllability for nonlinear resolvent …

Results on approximate controllability of neutral integro‐differential stochastic system with state‐dependent delay

C Dineshkumar, R Udhayakumar… - … Methods for Partial …, 2024 - Wiley Online Library
This article is mainly focusing on the approximate controllability of neutral integro‐differential
stochastic equations with state‐dependent delay. The main results of this article are proved …