Approximate controllability of fractional nonlinear differential inclusions

R Sakthivel, R Ganesh, SM Anthoni - Applied mathematics and …, 2013 - Elsevier
Fractional differential equations have wide applications in both physical and social sciences.
This paper addresses the issue of approximate controllability for a class of fractional …

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 …

A note on approximate controllability of second‐order neutral stochastic delay integro‐differential evolution inclusions with impulses

S Sivasankar, R Udhayakumar - Mathematical Methods in the …, 2022 - Wiley Online Library
In this work, we offer a set of appropriate conditions for the approximate controllability of
second‐order impulsive neutral stochastic integro‐differential evolution inclusions with …

Approximate controllability of fractional stochastic differential equations driven by mixed fractional Brownian motion via resolvent operators

P Tamilalagan, P Balasubramaniam - International Journal of …, 2017 - Taylor & Francis
In this manuscript, we investigate the approximate controllability of a class of fractional
stochastic differential equations driven by mixed fractional Brownian motion in Hilbert space …

Approximate controllability of semilinear system with state delay using sequence method

A Shukla, N Sukavanam, DN Pandey - Journal of the Franklin Institute, 2015 - Elsevier
The objective of this paper is to present some sufficient conditions for approximate
controllability of semilinear system with state delay using sequence method. Instead of a C 0 …

Approximate controllability results for fractional semilinear integro-differential inclusions in Hilbert spaces

NI Mahmudov, R Murugesu, C Ravichandran… - Results in …, 2017 - Springer
In this paper, we consider a class of fractional integro-differential inclusions in Hilbert
spaces. This paper deals with the approximate controllability for a class of fractional integro …

An analysis on approximate controllability of Atangana–Baleanu fractional semilinear control systems

W Kavitha Williams, V Vijayakumar… - International Journal of …, 2023 - degruyter.com
The article deals with the approximate controllability of Atangana–Baleanu semilinear
control systems. The outcomes are derived by applying Gronwall's inequality and Cauchy …

Approximate Controllability of Linear Fractional Impulsive Evolution Equations in Hilbert Spaces

JA Asadzade, NI Mahmudov - arXiv preprint arXiv:2406.15114, 2024 - arxiv.org
In this paper, we investigate the approximate controllability of linear fractional impulsive
evolution equations in Hilbert spaces. We provide a representation of solutions utilizing …

Approximate controllability of impulsive semilinear evolution equations in Hilbert spaces

JA Asadzade, NI Mahmudov - arXiv preprint arXiv:2411.02766, 2024 - arxiv.org
Many dynamical systems in fields such as physics, chemistry, biology, and engineering
show impulsive behavior due to abrupt changes at specific times. These behaviors are …

Approximate controllability of second-order neutral stochastic differential equations with infinite delay and Poisson jumps

M Palanisamy, R Chinnathambi - Journal of Systems Science and …, 2015 - Springer
The modelling of risky asset by stochastic processes with continuous paths, based on
Brownian motions, suffers from several defects. First, the path continuity assumption does …