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View article: Further improvement of finite-time boundedness based nonfragile state feedback control for generalized neural networks with mixed interval time-varying delays via a new integral inequality
Further improvement of finite-time boundedness based nonfragile state feedback control for generalized neural networks with mixed interval time-varying delays via a new integral inequality Open
This article investigates new delay-dependent finite-time boundedness for generalized neural networks (GNNs) with mixed-interval time-varying delays based on nonfragile feedback control to achieve the improved stability criterion. We also …
View article: New stochastic fractional integral and related inequalities of Jensen–Mercer and Hermite–Hadamard–Mercer type for convex stochastic processes
New stochastic fractional integral and related inequalities of Jensen–Mercer and Hermite–Hadamard–Mercer type for convex stochastic processes Open
In this investigation, we unfold the Jensen–Mercer ( $\mathtt{J-M}$ ) inequality for convex stochastic processes via a new fractional integral operator. The incorporation of convex stochastic processes, the $\mathtt{J-M}$ inequal…
View article: Multiple soliton, M-lump and interaction solutions to the (3+1)-dimensional soliton equation
Multiple soliton, M-lump and interaction solutions to the (3+1)-dimensional soliton equation Open
One of the most effective ways to understand nonlinear quantum systems is with lump solutions. The objective of this study is to acquire more about the (3+1)-dimensional soliton equation. We successfully present this equation with various …
View article: Some novel estimates of Jensen and Hermite-Hadamard inequalities for h-Godunova-Levin stochastic processes
Some novel estimates of Jensen and Hermite-Hadamard inequalities for h-Godunova-Levin stochastic processes Open
It is undeniable that convex and non-convex functions play an important role in optimization. As a result of its behavior, convexity also plays a significant role in discussing inequalities. It is clear that convexity and stochastic proces…
View article: Jensen, Ostrowski and Hermite-Hadamard type inequalities for $ h $-convex stochastic processes by means of center-radius order relation
Jensen, Ostrowski and Hermite-Hadamard type inequalities for $ h $-convex stochastic processes by means of center-radius order relation Open
In optimization, convex and non-convex functions play an important role. Further, there is no doubt that convexity and stochastic processes are closely related. In this study, we introduce the notion of the $ h- $convex stochastic process …
View article: Spherical q-linear Diophantine fuzzy aggregation information: Application in decision support systems
Spherical q-linear Diophantine fuzzy aggregation information: Application in decision support systems Open
The main goal of this article is to reveal a new generalized version of the q-linear Diophantine fuzzy set (q-LDFS) named spherical q-linear Diophantine fuzzy set (Sq-LDFS). The existing concepts of intuitionistic fuzzy set (IFS), q-rung o…
View article: Finite-Time Extended Dissipativity Analysis for Generalized Neural Networks With Discrete and Distributed Time-Varying Delays
Finite-Time Extended Dissipativity Analysis for Generalized Neural Networks With Discrete and Distributed Time-Varying Delays Open
This paper investigated the finite-time extended dissipativity for generalized neural networks with discrete and distributed time-varying delays via the improved Lyapunov-Krasovskii functional (LKF). We constructed an appropriate LKF by em…
View article: Novel non-fragile extended dissipative synchronization of T-S fuzzy complex dynamical networks with interval hybrid coupling delays
Novel non-fragile extended dissipative synchronization of T-S fuzzy complex dynamical networks with interval hybrid coupling delays Open
This paper presents the first investigation of extended dissipative synchronization in a specific type of Takagi-Sugeno (T-S) fuzzy complex dynamical networks with interval hybrid coupling delays. First, the decoupling method is employed t…
View article: Qualitative behavior of a higher-order fuzzy difference equation
Qualitative behavior of a higher-order fuzzy difference equation Open
In this paper, we investigate the qualitative behavior of the fuzzy difference equation \begin{document}$ \begin{equation*} z_{n+1} = \frac{Az_{n-s}}{B+C\prod\limits_{i = 0}^{s}z_{n-i}} \end{equation*} $\end{document} where $ n\in \mat…
View article: Study on the oscillation of solution to second-order impulsive systems
Study on the oscillation of solution to second-order impulsive systems Open
In the present article, we set the if and only if conditions for the solutions of the class of neutral impulsive delay second-order differential equations. We consider two cases when it is non-increasing and non-decreasing for quotient of …
View article: Set-valued minimax programming problems under $ \sigma $-arcwisely connectivity
Set-valued minimax programming problems under $ \sigma $-arcwisely connectivity Open
A set-valued minimax programming problem (in short, SVMP) is taken into consideration in this study. We present the idea of $ \sigma $-arcwisely connectivity of set-valued maps (in short, SVM) in the broader sense of arcwisely connected SV…
View article: Finite-time decentralized event-triggered feedback control for generalized neural networks with mixed interval time-varying delays and cyber-attacks
Finite-time decentralized event-triggered feedback control for generalized neural networks with mixed interval time-varying delays and cyber-attacks Open
This article investigates the finite-time decentralized event-triggered feedback control problem for generalized neural networks (GNNs) with mixed interval time-varying delays and cyber-attacks. A decentralized event-triggered method reduc…
View article: Numerical investigations of nonlinear Maxwell fluid flow in the presence of non-Fourier heat flux theory: Keller box-based simulations
Numerical investigations of nonlinear Maxwell fluid flow in the presence of non-Fourier heat flux theory: Keller box-based simulations Open
We investigate the thermal flow of Maxwell fluid in a rotating frame using a numerical approach. The fluid has been considered a temperature-dependent thermal conductivity. A non-Fourier heat flux term that accurately reflects the effects…
View article: A Stochastic Framework for Solving the Prey-Predator Delay Differential Model of Holling Type-III
A Stochastic Framework for Solving the Prey-Predator Delay Differential Model of Holling Type-III Open
The current research aims to implement the numerical results for the Holling third kind of functional response delay differential model utilizing a stochastic framework based on Levenberg-Marquardt backpropagation neural networks (LVMBPNNs…
View article: Robust stability and passivity analysis for discrete-time neural networks with mixed time-varying delays via a new summation inequality
Robust stability and passivity analysis for discrete-time neural networks with mixed time-varying delays via a new summation inequality Open
The summation inequality is essential in creating delay-dependent criteria for discrete-time systems with time-varying delays and developing other delay-dependent standards. This paper uses our rebuilt summation inequality to investigate t…
View article: A scaled Polak-Ribi$ \grave{e} $re-Polyak conjugate gradient algorithm for constrained nonlinear systems and motion control
A scaled Polak-Ribi$ \grave{e} $re-Polyak conjugate gradient algorithm for constrained nonlinear systems and motion control Open
This paper proposes Polak-Ribi$ \grave{e} $re-Polyak (PRP) conjugate gradient (CG) directions based on two efficient scaling strategies. The first scaling parameter is determined by approaching the quasi-Newton direction, and the second by…
View article: Existence, uniqueness and approximation of nonlocal fractional differential equation of sobolev type with impulses
Existence, uniqueness and approximation of nonlocal fractional differential equation of sobolev type with impulses Open
This paper is concerned with the study of nonlocal fractional differential equation of sobolev type with impulsive conditions. An associated integral equation is obtained and then considered a sequence of approximate integral equations. By…
View article: A numerical study of swirling axisymmetric flow characteristics in a cylinder with suspended PEG based magnetite and oxides nanoparticles
A numerical study of swirling axisymmetric flow characteristics in a cylinder with suspended PEG based magnetite and oxides nanoparticles Open
For entire heat transfer practitioners from the last ten years, heat transmission performance in cooling and heating applications has become foremost concern. Hence, research towards innovative heat transference fluids is enormously power…
View article: A study on controllability for Hilfer fractional differential equations with impulsive delay conditions
A study on controllability for Hilfer fractional differential equations with impulsive delay conditions Open
This article focuses on the controllability of a Hilfer fractional impulsive differential equation with indefinite delay. We analyze our major outcomes using fractional calculus, the measure of non-compactness and a fixed-point approach. F…
View article: Study of nonlinear thermal convection of ternary nanofluid within Darcy-Brinkman porous structure with time dependent heat source/sink
Study of nonlinear thermal convection of ternary nanofluid within Darcy-Brinkman porous structure with time dependent heat source/sink Open
The dynamical behaviour and thermal transportation feature of mixed convective Casson bi-phasic flows of water-based ternary Hybrid nanofluids with different shapes are examined numerically in a Darcy- Brinkman medium bounded by a vertica…
View article: Free convective trickling over a porous medium of fractional nanofluid with MHD and heat source/sink
Free convective trickling over a porous medium of fractional nanofluid with MHD and heat source/sink Open
Nanofluids are considered as smart fluids that can improve heat and mass transfer and have numerous applications in industry and engineering fields such as electronics, manufacturing, and biomedicine. For this reason, blood-based nanofluid…
View article: A stochastic numerical approach for a class of singular singularly perturbed system
A stochastic numerical approach for a class of singular singularly perturbed system Open
In the present study, a neuro-evolutionary scheme is presented for solving a class of singular singularly perturbed boundary value problems (SSP-BVPs) by manipulating the strength of feed-forward artificial neural networks (ANNs), global s…