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 …

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 …

[图书][B] Fractional differential equations and inclusions: classical and advanced topics

S Abbas, M Benchohra, JE Lazreg, JJ Nieto, Y Zhou - 2023 - World Scientific
In this chapter, we introduce notations, definitions, and preliminary facts that will be used in
the remainder of this book. Some notations and definitions from the fractional calculus, some …

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 …

Optimal control results for Sobolev‐type fractional mixed Volterra–Fredholm type integrodifferential equations of order 1 < r < 2 with sectorial operators

M Mohan Raja, V Vijayakumar - Optimal Control Applications …, 2022 - Wiley Online Library
The goal of this research is to investigate the issue of existence and optimal control results
for fractional mixed Volterra–Fredholm type integrodifferential systems of order 1< r< 2 1< r< …

Optimal control results for impulsive fractional delay integrodifferential equations of order 1< r< 2 via sectorial operator

M Johnson, MM Raja, V Vijayakumar… - … Modelling and Control, 2023 - zurnalai.vu.lt
This research investigates the existence of nonlocal impulsive fractional integrodifferential
equations of order 1< r< 2 with infinite delay. To begin with, we discuss the existence of a …

An Analysis on the Optimal Control for Fractional Stochastic Delay Integrodifferential Systems of Order 1 < γ < 2

M Johnson, V Vijayakumar - Fractal and Fractional, 2023 - mdpi.com
The purpose of this paper is to investigate the optimal control for fractional stochastic
integrodifferential systems of order 1< γ< 2. To ensure the existence and uniqueness of mild …