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AIMS Mathematics
Scopus
ISSN 2473-6988 · AIMS Press · 7.371 artikel di indeks
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Artikel Jurnal
Bang-bang control for uncertain random continuous-time switched systems
In this paper, optimal control problems concerning uncertain random continuous-time switched system were studied. First, by applying Belleman's principle of optimality and chance theory, an optimality equation was derived. It's an extension of the equation of optimality from uncertain environment…
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Monodromic singularities without curves of zero angular speed
We consider planar analytic vector fields $ \mathcal{X} $ having a monodromic singular point with Poincaré map $ \Pi $. We use the fact that there always exists a real analytic invariant curve $ F = 0 $ of $ \mathcal{X} $ in a neighborhood of that singularity. We find some relations between $ \Pi $…
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Fixed-time consensus of second-order multi-agent systems based on event-triggered mechanism under DoS attacks
This paper investigates fixed-time consensus (FXTC) for second-order nonlinear multi-agent systems under denial of service (DoS) attacks using event-triggered control. First, consensus in second-order nonlinear multi-agent systems with directed topologies is studied under a static event-triggered…
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The novel stochastic structure of solitary waves to the stochastic Maccari's system via Wiener process
This article investigates the nonlinear Maccari model with multiplicative noise using the unified technique. Numerous new important solitary wave solutions are presented with free physical parameters. These solutions play a vital role in various domains, including nonlinear optics, plasma physics…
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Improved region-based active contour segmentation through divergence and convolution techniques
In this paper, we present a novel approach to improve the robustness of region-based active contour models for image segmentation, particularly in the presence of noise. Traditional active contour methods often struggle with noise sensitivity and intensity variations within the image. To overcome…
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Spatial decay estimates for the coupled system of wave-plate type with thermal effect
In this article, we investigate the spatial decay estimates for the biharmonic conduction equations within a coupled wave-plate system incorporating thermal effects in a two-dimensional cylindrical domain. Using the method of a second-order differential inequality, we can obtain the spatial decay…
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Optimal classes of memory-type estimators of population mean for temporal surveys
In this article, we explore how to efficiently estimate the population mean utilizing past and current sample information through exponentially weighted moving average (EWMA) statistics in temporal surveys. We propose some optimal classes of memory-type estimators of population mean for temporal…
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Analysis of superquadratic fuzzy interval valued function and its integral inequalities
Superquadratic function is a generalization of convex functions. Results based on superquadratic functions are more refined than the results obtained using the notion of convexity. This work aims to provide a new class of superquadratic functions called superquadratic fuzzy-interval-valued function…
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Existence of solution for a Langevin equation involving the $ \psi $-Hilfer fractional derivative: A variational approach
This study examines the existence of a solution for a nonvariational Langevin equation that involves the $ \psi $-Hilfer fractional derivative. More specifically, we apply the mountain pass theorem, and then an iterative approach to establish the existence of a solution for the problem.
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Modeling hepatitis B transmission dynamics with spatial diffusion and disability potential in the chronic stage
In this study, we introduce a novel reaction-diffusion epidemic model to analyze the transmission dynamics of the hepatitis B virus (HBV). The model captured the interactions between five population groups: Susceptible individuals, those in the latent stage, acutely infected individuals…
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Dynamics analysis of spatiotemporal discrete predator-prey model based on coupled map lattices
In this paper, we explore the dynamic properties of discrete predator-prey models with diffusion on a coupled mapping lattice. We conducted a stability analysis of the equilibrium points, provided the normal form of the Neimark-Sacker and Flip bifurcations, and explored a range of Turing…
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The construction conditions of a Hilbert-type local fractional integral operator and the norm of the operator
The parameterized local fractional singular integral operator $ \mathit{ T}^{(\tau)} $ is defined on the space $ L_p^{\tau\mu}(\mathbb{R}_+^\tau) $ as $ \mathit{T}^{(\tau)}: L_p^{\tau \mu}(\mathbb{R}_+^\tau)\rightarrow L_p^{\tau\nu(1-p)}(\mathbb{R}_+^\tau) $, $ \mathit{T} ^{(\tau)}(f_\tau)(y) = \…
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Gallai's path decomposition conjecture for block graphs
Let $ G $ be a graph of order $ n $. A path decomposition $ \mathcal{P} $ of $ G $ is a collection of edge-disjoint paths that covers all the edges of $ G $. Let $ p(G) $ denote the minimum number of paths needed in a path decomposition of $ G $. Gallai conjectured that if $ G $ is connected, then…
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Boundedness on variable exponent Morrey-Herz space for fractional multilinear Hardy operators
In this treatise, the boundedness of the multilinear fractional Hardy operators is scrutinized within the context of variable exponent Morrey-Herz spaces, denoted as $ {M\dot K^{\alpha(\cdot), \lambda}_{q, p(\cdot)}(\mathbb{R}^n)} $. Analogous estimations are derived for their commutators…
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Metric and strong metric dimension in TI-power graphs of finite groups
Given a finite group $ G $ with the identity $ e $, the TI-power graph (trivial intersection power graph) of $ G $ is an undirected graph with vertex set $ G $, in which two distinct vertices $ x $ and $ y $ are adjacent if $ \langle x\rangle\cap \langle y\rangle = \{e\} $. In this paper, we obtain…
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Exploring the $ q $-analogue of Fibonacci sequence spaces associated with $ c $ and $ c_0 $
We have proposed a $ q $-analogue $ c(\mathcal{F}(q)) $ and $ c_0(\mathcal{F}(q)) $ of Fibonacci sequence spaces, where $\mathcal{F}(q) = (f^q_{km})$ denotes a $ q $-Fibonacci matrix defined in the following manner: \begin{document}$ f^q_{km} = \begin{cases} q^{m+1} \frac{f_{m+1}(q)}{f_{k+3}(q) -…
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Exponential stability of ARZ traffic flow model based on $ 2\times 2 $ variable-coefficient hyperbolic system
This paper studies the exponential stability of the Aw-Rascle-Zhang (ARZ) traffic flow model. Given that the steady state may be non-uniform, we obtain a $ 2\times2 $ hyperbolic system with variable coefficients. Then, by combining ramp metering and variable speed limit control, we deduce a kind of…
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Admissible interval-valued monotone comparative statics methods applied in games with strategic complements
In many theories and applications with uncertainty, using intervals to characterize uncertainty is simple and operable. It is crucial to choose a proper order for an interval method. In general, a total order is superior to a partial order for those applications in which we have to make a final…
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Artikel Jurnal
Stability of random attractors for non-autonomous stochastic $ p $-Laplacian lattice equations with random viscosity
In this paper, we investigate the stability of pullback random attractors for non-autonomous stochastic $ p $-Laplacian lattice systems, which are influenced by random viscosity and multiplicative white noise. Under appropriate conditions, we first prove the existence and uniqueness of these…
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A novel numerical method for stochastic conformable fractional differential systems
This study introduced the conformable fractional discrete Temimi–Ansari method (CFDTAM), a novel numerical framework designed to solve fractional stochastic nonlinear differential equations with enhanced efficiency and accuracy. By leveraging the conformable fractional derivative (CFD), the CFDTAM…
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