A note on the approximate controllability of Sobolev type fractional stochastic integro-differential delay inclusions with order 1< r< 2

C Dineshkumar, R Udhayakumar… - … and Computers in …, 2021 - Elsevier
In this manuscript, we mainly focus on the approximate controllability of Sobolev type
fractional stochastic integro-differential delay inclusions with order 1< r< 2. The primary …

Asymptotic stability of fractional order (1, 2] stochastic delay differential equations in Banach spaces

A Singh, A Shukla, V Vijayakumar… - Chaos, Solitons & …, 2021 - Elsevier
In this article, we discuss the asymptotic stability and mean square stability of stochastic
differential equations of fractional-order 1< α≤ 2. We have considered the family of …

A note on approximate controllability for nonlocal fractional evolution stochastic integrodifferential inclusions of order r∈(1, 2) with delay

C Dineshkumar, R Udhayakumar, V Vijayakumar… - Chaos, Solitons & …, 2021 - Elsevier
In this paper, we formulate a new set of sufficient conditions for the approximate
controllability of fractional evolution stochastic integrodifferential delay inclusions of order …

Optimal control and approximate controllability for fractional integrodifferential evolution equations with infinite delay of order

M Mohan Raja, V Vijayakumar, A Shukla… - Optimal Control …, 2022 - Wiley Online Library
This article investigates the issue of optimal control and approximate controllability results
for fractional integrodifferential evolution equations with infinite delay of r∈(1, 2) in Banach …

On the approximate controllability results for fractional integrodifferential systems of order 1< r< 2 with sectorial operators

MM Raja, V Vijayakumar, A Shukla, KS Nisar… - … of Computational and …, 2022 - Elsevier
In this paper, we investigate the approximate controllability for fractional integrodifferential
inclusions of order r∈(1, 2) in Banach space with sectorial operators. In particular, we obtain …

A new exploration on the existence and approximate controllability for fractional semilinear impulsive control systems of order r∈(1, 2)

A Shukla, V Vijayakumar, KS Nisar - Chaos, Solitons & Fractals, 2022 - Elsevier
In this article, we mainly focus on the existence and approximate controllability results for the
fractional semilinear impulsive control system of order r∈(1, 2). We consider two different …

New discussion regarding approximate controllability for Sobolev-type fractional stochastic hemivariational inequalities of order r∈(1, 2)

C Dineshkumar, R Udhayakumar… - … in Nonlinear Science …, 2023 - Elsevier
In this paper, we deal with the approximate controllability of Sobolev-type fractional
stochastic evolution hemivariational inequalities of order r∈(1, 2). Firstly, by using stochastic …

[HTML][HTML] Study of fractional order dynamics of nonlinear mathematical model

K Shah, A Ali, S Zeb, A Khan, MA Alqudah… - Alexandria Engineering …, 2022 - Elsevier
This manuscript is devoted to establishing some theoretical and numerical results for a
nonlinear dynamical system under Caputo fractional order derivative. Further, the said …

New discussion on nonlocal controllability for fractional evolution system of order

M Mohan Raja, V Vijayakumar, A Shukla… - Advances in Difference …, 2021 - Springer
In this manuscript, we deal with the nonlocal controllability results for the fractional evolution
system of 1< r< 2 1<r<2 in a Banach space. The main results of this article are tested by …

[HTML][HTML] An analysis on the approximate controllability of Hilfer fractional neutral differential systems in Hilbert spaces

YK Ma, K Kavitha, W Albalawi, A Shukla… - Alexandria Engineering …, 2022 - Elsevier
This manuscript concerns the approximate controllability results in Hilbert space of Hilfer
fractional differential inclusions. We show that the Hilfer fractional neutral differential …