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 …

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 …

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 …

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 concerning the existence results for the Sobolev-type Hilfer fractional delay integro-differential systems

K Kavitha, KS Nisar, A Shukla, V Vijayakumar… - Advances in Difference …, 2021 - Springer
The goal of this study is to propose the existence results for the Sobolev-type Hilfer fractional
integro-differential systems with infinite delay. We intend to implement the outcomes and …

Controllability results for fractional semilinear delay control systems

A Shukla, R Patel - Journal of Applied Mathematics and Computing, 2021 - Springer
In this article, we have presented the controllability relationship between the semilinear
control system of fractional order (1, 2 with delay and that of the semilinear control system …

Results on approximate controllability of fractional stochastic Sobolev‐type Volterra–Fredholm integro‐differential equation of order 1 < r < 2

C Dineshkumar, R Udhayakumar - Mathematical Methods in …, 2022 - Wiley Online Library
The main motivation of our conversation is the approximate controllability of fractional
stochastic Sobolev‐type Volterra–Fredholm integro‐differential equation of order 1< r< 2 …

An investigation on the optimal control for Hilfer fractional neutral stochastic integrodifferential systems with infinite delay

M Johnson, V Vijayakumar - Fractal and Fractional, 2022 - mdpi.com
The main concern of this manuscript is to study the optimal control problem for Hilfer
fractional neutral stochastic integrodifferential systems with infinite delay. Initially, we …

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 second-order non-autonomous system with finite delay

A Kumar, RK Vats, A Kumar - Journal of Dynamical and Control Systems, 2020 - Springer
In this article, we shall study the approximate controllability of certain non-autonomous
second-order nonlinear differential problems with finite delay in the infinite dimensional …