Results on controllability of Hilfer fractional differential equations with infinite delay via measures of noncompactness

K Kavitha, V Vijayakumar, R Udhayakumar… - Asian Journal of …, 2022 - Wiley Online Library
This manuscript mainly focuses on the controllability of Hilfer fractional differential system
with infinite delay. We study our primary outcomes by employing fractional calculus …

Results on approximate controllability of Sobolev-type fractional neutral differential inclusions of Clarke subdifferential type

K Kavitha, V Vijayakumar, A Shukla, KS Nisar… - Chaos, Solitons & …, 2021 - Elsevier
The basic motivation of this research paper is the approximate controllability of Sobolev-type
fractional neutral differential inclusions of Clarke subdifferential type which generalized the …

A note concerning to approximate controllability of Atangana-Baleanu fractional neutral stochastic systems with infinite delay

C Dineshkumar, R Udhayakumar, V Vijayakumar… - Chaos, Solitons & …, 2022 - Elsevier
In this paper, we investigate the approximate controllability results of Atangana-Baleanu
fractional neutral stochastic systems with infinite delay. Using principles and ideas from …

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 …

An analysis of controllability results for nonlinear Hilfer neutral fractional derivatives with non-dense domain

KS Nisar, K Jothimani, K Kaliraj… - Chaos, Solitons & …, 2021 - Elsevier
In this article, the controllability results of the non-dense Hilfer neutral fractional derivative
(HNFD) are presented. The results are acknowledged using semigroup theory, fractional …

Results concerning to approximate controllability of non‐densely defined Sobolev‐type Hilfer fractional neutral delay differential system

KS Nisar, V Vijayakumar - Mathematical Methods in the …, 2021 - Wiley Online Library
In this manuscript, our primary focus on the approximate controllability outcomes for non‐
densely defined Sobolev‐type Hilfer fractional neutral differential system with infinite delay …

Results on the existence of Hilfer fractional neutral evolution equations with infinite delay via measures of noncompactness

K Kavitha, V Vijayakumar… - … Methods in the …, 2021 - Wiley Online Library
In this manuscript, we are mainly focusing on the existence of mild solutions for the Hilfer
fractional evolution system with infinite delay via measures of noncompactness. Fractional …

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 …

Existence and controllability of nonlocal mixed Volterra‐Fredholm type fractional delay integro‐differential equations of order 1 < r < 2

W Kavitha Williams, V Vijayakumar… - … Methods for Partial …, 2024 - Wiley Online Library
In our article, we are primarily concentrating on existence and controllability of nonlocal
mixed Volterra‐Fredholm type fractional delay integro‐differential equations of order 1< r< 2 …

Results on the existence and controllability of fractional integro-differential system of order 1< r< 2 via measure of noncompactness

MM Raja, V Vijayakumar, R Udhayakumar - Chaos, Solitons & Fractals, 2020 - Elsevier
This manuscript is mainly focusing on the existence and controllability of fractional integro-
differential system of order 1< r< 2 with infinite delay. Our article's principal findings proved …