A two-stage dimension-reduced dynamic reliability evaluation (TD-DRE) method for vibration control structures based on interval collocation and narrow bounds …

L Wang, J Liu, Z Zhou, Y Li - ISA transactions, 2023 - Elsevier
Due to the uncertainties from modeling, manufacturing, and working environments, many
vibration active control systems usually show dynamic uncertain properties. Hence structural …

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 …

[HTML][HTML] Fractal soliton solutions for the fractal-fractional shallow water wave equation arising in ocean engineering

KL Wang, CF Wei - Alexandria Engineering Journal, 2023 - Elsevier
The generalized shallow water wave equation is an important mathematical model that is
used to elaborate ocean engineering, weather simulations, tsunami prediction and tidal …

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 …

New discussion regarding approximate controllability for Sobolev-type fractional stochastic hemivariational inequalities of order r∈(1, 2)

C Dineshkumar, R Udhayakumar… - … in Nonlinear Science …, 2023 - Elsevier
In this paper, we deal with the approximate controllability of Sobolev-type fractional
stochastic evolution hemivariational inequalities of order r∈(1, 2). Firstly, by using stochastic …

[HTML][HTML] Effect of saturated treatment on malaria spread with optimal intervention

S Olaniyi, OD Falowo, KO Okosun, M Mukamuri… - Alexandria Engineering …, 2023 - Elsevier
This work presents a new deterministic model which considers transmission mode through
blood transfusion and saturated treatment function with a view to gaining more insights into …

[HTML][HTML] A note on existence and approximate controllability outcomes of Atangana–Baleanu neutral fractional stochastic hemivariational inequality

C Dineshkumar, R Udhayakumar, V Vijayakumar… - Results in Physics, 2022 - Elsevier
This article is primarily targeting the approximate controllability results of Atangana–Baleanu
neutral fractional stochastic hemivariational inequality. The primary conclusions were …

Optimal control results for Sobolev-type fractional stochastic Volterra-Fredholm integrodifferential systems of order ϑ∈(1, 2) via sectorial operators

M Johnson, V Vijayakumar - Numerical Functional Analysis and …, 2023 - Taylor & Francis
The objective of this paper is to investigate the optimal control results for Sobolev-type
fractional stochastic Volterra-Fredholm integrodifferential systems of order ϑ∈(1, 2) with …

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< …

[HTML][HTML] Discussion on the existence of mild solution for fractional derivative by Mittag–Leffler kernel to fractional stochastic neutral differential inclusions

YK Ma, V Vijayakumar, A Shukla, KS Nisar… - Alexandria Engineering …, 2023 - Elsevier
Fractional calculus is now used to accurately depict a range of real occurrences because it
can explain the “long-tail memory” phenomena that have been seen through empirical …