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 …

An analysis on the approximate controllability of neutral functional hemivariational inequalities with impulses

S Vivek, V Vijayakumar - Optimization, 2024 - Taylor & Francis
In this paper, we study approximate controllability of neutral hemivariational inequality with
impulses. Initially, we derive the mild solution for the given system, for the main results, we …

Existence results for Caputo fractional mixed Volterra-Fredholm-type integrodifferential inclusions of order r∈(1, 2) with sectorial operators

MM Raja, V Vijayakumar - Chaos, Solitons & Fractals, 2022 - Elsevier
Fractional differential equations are used in many areas, such as the fields of science. In this
paper, we study existence results for a class of fractional mixed Volterra-Fredholm-type …

Controllability and observability for fractal linear dynamical systems

L Sadek - Journal of Vibration and Control, 2023 - journals.sagepub.com
In the present paper, we investigate the controllability, and observability of a non-
homogeneous continuous-time fractal dynamical system (NC-TFDS). We show that the …

A note concerning to optimal feedback control for Caputo fractional neutral stochastic evolution systems

S Vivek, V Vijayakumar - Qualitative theory of dynamical systems, 2023 - Springer
In this paper, we discuss the optimal feedback control for a system of semilinear neutral
stochastic integrodifferential equations in Hilbert space. Using the fixed-point technique …

A discussion concerning to partial-approximate controllability of Hilfer fractional system with nonlocal conditions via approximating method

K Kavitha, V Vijayakumar - Chaos, Solitons & Fractals, 2022 - Elsevier
This study focuses on the partial-approximate controllability of Hilfer fractional differential
evolution equations in Hilbert spaces. We give the approximate problem of the control …

Approximate Controllability of Semilinear Fractional Control Systems of Order α∊(1, 2

A Shukla, N Sukavanam, DN Pandey - … of the Conference on Control and its …, 2015 - SIAM
The objective of this paper is to present some sufficient conditions for approximate
controllability of semilinear delay control systems of fractional order α∊(1, 2]. The results are …

Approximate controllability of semilinear system with state delay using sequence method

A Shukla, N Sukavanam, DN Pandey - Journal of the Franklin Institute, 2015 - Elsevier
The objective of this paper is to present some sufficient conditions for approximate
controllability of semilinear system with state delay using sequence method. Instead of a C 0 …

A discussion on boundary controllability of nonlocal impulsive neutral integrodifferential evolution equations

K Kumar, R Patel, V Vijayakumar… - … Methods in the …, 2022 - Wiley Online Library
Sufficient conditions for boundary controllability of nonlocal impulsive neutral
integrodifferential evolution equations are explored. In the first problem, the outcomes are …

On the approximate controllability of second-order stochastic differential systems with hemivariational inequalities with dam**

RS Shanmugapriya, V Vijayakumar - Optimization, 2024 - Taylor & Francis
In this article, we investigate the approximate controllability of dam** second-order
stochastic differential systems with hemivariational inequalities. First, we show the existence …