A discussion on approximate controllability of Sobolev‐type Hilfer neutral fractional stochastic differential inclusions

C Dineshkumar, K Sooppy Nisar… - Asian Journal of …, 2022 - Wiley Online Library
In this paper, the approximate controllability of Sobolev‐type Hilfer neutral fractional
stochastic differential inclusions in Hilbert spaces is considered. By using the stochastic …

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 …

[HTML][HTML] A note on approximate controllability of fractional semilinear integrodifferential control systems via resolvent operators

V Vijayakumar, KS Nisar, D Chalishajar, A Shukla… - Fractal and …, 2022 - mdpi.com
This article primarily focuses on the approximate controllability of fractional semilinear
integrodifferential equations using resolvent operators. Two alternative sets of necessary …

A discussion on the approximate controllability of Hilfer fractional neutral stochastic integro-differential systems

C Dineshkumar, R Udhayakumar, V Vijayakumar… - Chaos, Solitons & …, 2021 - Elsevier
This manuscript is mainly focusing on the approximate controllability of Hilfer fractional
neutral stochastic integro-differential equations. The principal results of this article are …

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 …

Results on approximate controllability for non-densely defined Hilfer fractional differential system with infinite delay

V Vijayakumar, R Udhayakumar - Chaos, Solitons & Fractals, 2020 - Elsevier
This manuscript is mainly focusing on approximate controllability for non-densely defined
Hilfer fractional differential system with infinite delay. We study our primary outcomes by …

Stochastic exponential stabilization and optimal control results for a class of fractional order equations

C Dineshkumar, JH Jeong, YH Joo - Chaos, Solitons & Fractals, 2024 - Elsevier
The object of this study is to define existence, controllability and exponential stability results
within a Sobolev-type fractional stochastic neutral equations of order 1< ω< 2 with sectorial …

Approximate controllability and existence of mild solutions for Riemann-Liouville fractional stochastic evolution equations with nonlocal conditions of order 1< α< 2

L Shu, XB Shu, J Mao - Fractional Calculus and Applied Analysis, 2019 - degruyter.com
In this paper, we consider the existence of mild solutions and approximate controllability for
Riemann-Liouville fractional stochastic evolution equations with nonlocal conditions of order …

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 …

New discussion about the approximate controllability of fractional stochastic differential inclusions with order 1 < r < 2

C Dineshkumar, KS Nisar… - Asian Journal of …, 2022 - Wiley Online Library
In this manuscript, our main focus is about the approximate controllability of fractional
stochastic differential inclusions with order 1< r< 2. With the utilization of the fractional …