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Mathematics, Volume 14, Issue 3

2026 February-1 - 194 articles

Cover Story: Determining how uniaxial waves behave in an initially undisturbed semi-infinite medium is a fundamental topic in linear viscoelasticity and is covered in most standard rheology textbooks. It also serves as an essential preliminary step in studying wave propagation in linear dispersive media with dissipative effects, such as seismic wave transmission within the Earth. View this paper
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Articles (194)

  • Article
  • Open Access
9 Citations
1,014 Views
21 Pages

Numerical Solutions via Shifted Pell Polynomials for Third-Order Rosenau–Hyman and Gilson–Pickering Equations

  • Mohamed A. Abdelkawy,
  • Waleed Mohamed Abd-Elhameed,
  • Seham S. Alzahrani,
  • Ahmed Gamal Atta and
  • Anjan Biswas

6 February 2026

This paper introduces a collocation algorithm for numerically solving the third-order Gilson–Pickering equation (GPE) and the classical Rosenau–Hyman equation (RHE). We employ newly developed shifted Pell polynomials as basis functions. N...

(This article belongs to the Special Issue Soliton Theory and Integrable Systems in Mathematical Physics)
  • Article
  • Open Access
2 Citations
701 Views
30 Pages

6 February 2026

The lateral abutment stress and damage range of the coal seam are prerequisites for the layout of gob-side entries and surrounding rock control. They are influenced by the structure and mechanical properties of the coal seam and the overlying strata....

(This article belongs to the Special Issue Mathematics Applied in Rock Mechanics and Mining Science)
  • Article
  • Open Access
35 Citations
2,510 Views
54 Pages

Reliability in Robotics and Intelligent Systems: Mathematical Modeling and Algorithmic Innovations

  • Madina Issametova,
  • Nikita V. Martyushev,
  • Boris V. Malozyomov,
  • Anton Y. Demin and ,
  • Alexander V. Pogrebnoy,
  • Elizaveta E. Kuleshova and
  • Denis V. Valuev
  • + 2 authors+ 0 author

6 February 2026

The rapid development of digital manufacturing and robotic systems places increased demands on the accuracy and reliability of industrial manipulators. Traditional time-based reliability metrics do not reflect the robot’s ability to consistentl...

(This article belongs to the Special Issue Robotics and Intelligent Systems: New Mathematical Challenges and Algorithmic Innovations)
  • Article
  • Open Access
1,007 Views
23 Pages

6 February 2026

In industrial environments, providing intuitive spatial information via 3D maps is essential for maximizing the efficiency of teleoperation. However, existing SLAM algorithms generating 3D maps predominantly focus on improving robot localization accu...

(This article belongs to the Special Issue Advances in Machine Learning and Intelligent Systems)
  • Article
  • Open Access
1 Citations
921 Views
20 Pages

6 February 2026

A critical decision in pre-disaster humanitarian logistics planning is determining the amount of aid to preposition to ensure timely and effective emergency response. To support managers in this process, we propose four mathematical formulations desi...

(This article belongs to the Special Issue Simulation-Based Optimisation and Information Systems in Disaster Management)
  • Article
  • Open Access
915 Views
29 Pages

5 February 2026

Traditional scheduling theory optimizes initial task assignments under static assumptions, yet operational systems face repeated disruptions requiring both immediate rescheduling and long-term structural adaptation. Existing approaches treat each dis...

(This article belongs to the Special Issue Data-Driven Algorithms for Optimal Decision Making in Logistics and Supply Chain Management)
  • Article
  • Open Access
2 Citations
1,051 Views
20 Pages

5 February 2026

Precise medical image segmentation plays a vital role in disease diagnosis and clinical treatment. Although U-Net-based architectures and their Transformer-enhanced variants have achieved remarkable progress in automatic segmentation tasks, they stil...

(This article belongs to the Section E3: Mathematical Biology)
  • Article
  • Open Access
1 Citations
1,079 Views
18 Pages

5 February 2026

This paper addresses nonlinear time-varying cascade systems governed by differential equations with finite delay. Several sufficient conditions for asymptotic stability are derived, based on differing assumptions regarding the isolated subsystems and...

(This article belongs to the Special Issue Research on Delay Differential Equations and Their Applications)
  • Article
  • Open Access
734 Views
32 Pages

5 February 2026

Accurate segmentation of pellet microstructure images is crucial for evaluating their metallurgical performance and optimizing production processes. To address the challenges posed by complex structures, blurred boundaries, and fine-grained textures...

(This article belongs to the Special Issue Mathematical Methods for Image Processing and Computer Vision)
  • Article
  • Open Access
1 Citations
1,483 Views
22 Pages

Application of Machine Learning to Cluster Analysis of Diabetes Mortality at the Municipality Level in Mexico According to Sociodemographic Factors

  • Nelva N. Almanza-Ortega,
  • Carlos Fernando Moreno-Calderon,
  • Sandra Silvia Roblero-Aguilar,
  • Rodolfo Pazos-Rangel and ,
  • Joaquín Pérez-Ortega,
  • Vanesa Landero-Nájera and
  • Víctor Augusto Castellanos-Escamilla
  • + 2 authors+ 0 author

5 February 2026

In recent years, the mortality due to diabetes has increased around the world. In particular, diabetes is the second leading cause of mortality in Mexico, with a heterogeneous distribution of mortality rates at the municipality level. The objective o...

(This article belongs to the Special Issue Application of Artificial Intelligence, Machine Learning and Data Science in Industrial and Medical Domains)
  • Article
  • Open Access
2 Citations
1,638 Views
17 Pages

5 February 2026

This paper presents an Implicit Neural Representation method for Event-Based Imaging Velocimetry (INR-VG) to reconstruct dense velocity fields from sparse event streams. The core idea is to learn a mapping (multilayer perceptron) from spatial coordin...

(This article belongs to the Special Issue Applied Mathematics in Fluid Mechanics and Flows)
  • Article
  • Open Access
1,235 Views
25 Pages

5 February 2026

Low contrast is a frequent challenge in image analysis, especially within medical imaging and highly saturated scenes. To address this issue, we present a nonlinear transformation for local contrast enhancement in digital images. Our method adapts th...

(This article belongs to the Special Issue Data Mining and Algorithms Applied in Image Processing)
  • Feature Paper
  • Article
  • Open Access
1 Citations
735 Views
17 Pages

On Aggregations of Algebraic Objects in Data Modeling

  • Ivana Štajner-Papuga and
  • Andreja Tepavčević

5 February 2026

Aggregation operators are mathematical tools that, under certain constraints in the form of properties imposed on those mathematical functions, provide a representative value for the whole set of input values or structures. The question of when and w...

(This article belongs to the Section A: Algebra and Logic)
  • Article
  • Open Access
1,181 Views
24 Pages

5 February 2026

This paper develops simultaneous confidence intervals (SCIs) for pairwise differences of means with zero-inflated Rayleigh (ZIR) distributions, a flexible framework for modeling positively skewed data with excess zeros. Closed-form expressions for th...

(This article belongs to the Special Issue Statistical Inference: Methods and Applications)
  • Article
  • Open Access
2 Citations
1,039 Views
17 Pages

Current Transformer Error Compensation Under Core Saturation Conditions Based on Machine Learning Algorithms

  • Ismoil Odinaev,
  • Svetlana Beryozkina,
  • Andrey Pazderin,
  • Mihail Senyuk and ,
  • Murodbek Safaraliev and
  • Pavel Dubrovin
  • + 1 author+ 0 author

5 February 2026

To provide information support for relay protection and emergency automation algorithms, electromagnetic measuring voltage and current transformers are most often used. As practice shows, the magnetic core of the current transformers can be saturated...

(This article belongs to the Special Issue Mathematical Applications in Electrical Engineering, 2nd Edition)
  • Article
  • Open Access
1 Citations
1,057 Views
14 Pages

5 February 2026

X-ray imaging is the most widely used modality for fracture diagnosis in clinical practice due to its efficiency and accessibility. However, automated X-ray fracture detection faces two major challenges. First, fracture regions often contain subtle a...

  • Article
  • Open Access
2 Citations
894 Views
31 Pages

A Multi-Model Dynamic Selection Framework Using Deep Contextual Bandits for Urban Traffic Flow Prediction in Large-Scale Road Networks

  • Silai Chen,
  • Shengfeng Mao,
  • Zongcheng Zhang,
  • Xiaoyuan Zhang and ,
  • Yunxia Wu,
  • Yangsheng Jiang and
  • Zhihong Yao
  • + 2 authors+ 0 author

4 February 2026

To address the challenge of model selection in large-scale traffic flow prediction tasks, this paper proposes a dynamic multi-model selection framework based on Deep Contextual Bandits (DCB). Centered on the optimal combination of sub-models, the fra...

(This article belongs to the Special Issue Application of Mathematical Methods to Transportation: Modeling and Analysis)
  • Feature Paper
  • Article
  • Open Access
1 Citations
1,053 Views
14 Pages

Fractional Fuzzy Force-Position Control of Constrained Robots

  • Aldo Jonathan Muñoz-Vázquez,
  • Mohamed Gharib,
  • Juan Diego Sánchez-Torres and
  • Anh-Tu Nguyen

4 February 2026

Modern robotic tasks often require interaction with the surrounding elements in the workspace. In some high-precision tasks, it is essential to stabilize the contact force on a smooth yet rigid surface, which can be modeled as a unilateral constraint...

(This article belongs to the Special Issue Recent Advances in Adaptive Control Theory and Applications for Nonlinear Systems)
  • Article
  • Open Access
1,787 Views
19 Pages

4 February 2026

This article presents a model for pricing an exchange option considering stochastic volatility and liquidity risk. The impact of liquidity risk on an asset price is considered by utilizing a liquidity discount process that is influenced by both marke...

(This article belongs to the Section E5: Financial Mathematics)
  • Feature Paper
  • Article
  • Open Access
616 Views
19 Pages

4 February 2026

In this paper, a complete analysis is presented to study a reaction–diffusion system of general gene expression with two time delays and with Neumann boundary conditions. The global existence of a unique strong solution and the existence of an...

  • Article
  • Open Access
3 Citations
824 Views
15 Pages

Rigidity and Conformal Characterizations of Noncompact Gradient Schouten Solitons

  • Ali H. Alkhaldi,
  • Fatemah Mofarreh,
  • Huda M. Alshanbari and
  • Akram Ali

4 February 2026

This paper studies the conformal geometry of complete gradient Schouten solitons (GSSs) admitting closed conformal vector fields (CVFs). We establish rigidity and characterization results for nonparallel, homothetic closed CVFs under the assumption t...

(This article belongs to the Special Issue Differential Geometry, Geometric Analysis and Their Related Applications, 2nd Edition)
  • Article
  • Open Access
1,087 Views
21 Pages

4 February 2026

This research introduces an advanced attention-driven model designed to optimize mobile shelf warehouse order-picking. Our model incorporates an enhanced masking mechanism and context-aware decoder, streamlining the order-picking process. In essence,...

(This article belongs to the Special Issue Optimization and Control for Unmanned Systems and Intelligent Logistics)
  • Article
  • Open Access
769 Views
31 Pages

On Model Improvement Algorithms—Generalised Linear Models and Neural Networks

  • Manuel L. Esquível,
  • Nadezhda P. Krasii and
  • Raquel M. Gaspar

4 February 2026

We propose a generic approach to stochastic model improvement by first introducing an archetypal algorithm based on error minimisation and establishing two results on the weak convergence of the probability laws associated with the models under impro...

  • Article
  • Open Access
1 Citations
688 Views
19 Pages

Nonlinear ξ-Bi-Skew Lie Triple Derivations on ∗-Algebras

  • Yimeng Yue,
  • Fenhong Li,
  • Liang Kong and
  • Fugang Chao

4 February 2026

Let A be a unital associative ∗-algebra over the complex field C containing a nontrivial projection and ξ be a nonzero scalar. In this paper, we give a characterization of ξ-bi-skew Lie triple derivation on A. As applications, we apply t...

(This article belongs to the Section A: Algebra and Logic)
  • Feature Paper
  • Article
  • Open Access
2 Citations
2,425 Views
54 Pages

4 February 2026

Airport digital transformation is commonly approached through technological integration and data-driven optimization, yet such perspectives provide limited insight into system-level reasoning and governance. This paper introduces the cognitive airpor...

  • Article
  • Open Access
992 Views
27 Pages

Evaluating the Financial Performance of CSR Strategies and Sustainable Operations in Mexican Companies: An Explainable Machine Learning Approach

  • Laura Elena Jiménez-Casillas,
  • Román Rodríguez-Aguilar,
  • Marisol Velázquez-Salazar and
  • Santiago García-Álvarez

4 February 2026

Research on how corporate social responsibility (CSR) practices linked to sustainable operations (SO) affect corporate financial performance (FP) is still limited. This study presents a novel methodological proposal to measure the individual impact o...

(This article belongs to the Special Issue Mathematical Modelling and Optimization for Sustainable Operations Management, 2nd Edition)
  • Article
  • Open Access
1 Citations
1,750 Views
27 Pages

3 February 2026

Meta-analysis of proportions requires a rigorous transformation model due to the inherent mathematical constraints of proportional data (boundedness and non-constant variance). This study compared four proportions (Untransformed, Freeman–Tukey,...

(This article belongs to the Special Issue Dynamic Model and Analysis of Biology and Epidemiology)
  • Article
  • Open Access
744 Views
26 Pages

3 February 2026

This study develops a generalized Newton method to address the nonlinear Kolmogorov forward equation (KFE) under the local stochastic volatility (LSV) framework. Analytical convergence conditions are derived via the geometric series theorem, and empi...

(This article belongs to the Special Issue Stochastic Simulation: Theory and Applications)
  • Article
  • Open Access
3 Citations
1,056 Views
37 Pages

An Improved SAO Used for Global Optimization and Economic Power Load Forecasting

  • Lang Zhou,
  • Yaochun Shao,
  • Haoxiang Zhou and
  • Yangjian Yang

3 February 2026

Short-term electricity load forecasting has become increasingly challenging due to growing demand volatility, nonlinear load patterns, and the dynamic penetration of renewable energy sources. Conventional forecasting models often suffer from sensitiv...

(This article belongs to the Special Issue Artificial Intelligence and Optimization in Engineering Applications)
  • Article
  • Open Access
4 Citations
802 Views
17 Pages

Balanced Grey Wolf Optimizer Algorithm for Backpropagation Neural Networks

  • Jiashuo Chen,
  • Hao Zhu,
  • Tanjile Shu,
  • Chengkun Cao and ,
  • Yuanwang Deng and
  • Qing Cheng
  • + 1 author+ 0 author

3 February 2026

Backpropagation Neural Networks (BPNNs) are widely used in fault diagnosis and parameter prediction due to their simple structure and strong universal approximation capabilities. However, BPNNs suffer from slow convergence and susceptibility to poor...

  • Article
  • Open Access
1,136 Views
28 Pages

3 February 2026

Malicious Tor traffic data contains deep domain-specific knowledge, which makes labeling challenging, and the lack of labeled data degrades the accuracy of learning-based detectors. Real-world deployments also exhibit severe class imbalance, where ma...

(This article belongs to the Special Issue New Advances in Network Security and Data Privacy)
  • Article
  • Open Access
985 Views
24 Pages

3 February 2026

This study develops a mathematical optimization framework to determine optimal inspection policies for imperfect production systems subject to stochastic deterioration. System degradation is modeled using a Weibull power law process, which captures t...

  • Article
  • Open Access
1 Citations
2,001 Views
32 Pages

3 February 2026

When a physical theory is in its early stages of development, it presents many concepts and constructs that may not be necessary for its interpretation, or may simply be equivocal. As the theory is developed by the physics community, it hopefully pas...

(This article belongs to the Special Issue Mathematics Methods in Quantum Physics and Its Applications)
  • Article
  • Open Access
879 Views
21 Pages

3 February 2026

We present a one-parameter family of smooth generalized pinball loss functions to overcome the challenges of non-differentiability, noise sensitivity, and resampling instability inherent in traditional loss functions such as hinge loss. These functio...

(This article belongs to the Special Issue Advanced Studies in Mathematical Optimization and Machine Learning)
  • Article
  • Open Access
1 Citations
1,137 Views
20 Pages

3 February 2026

Photovoltaic (PV) systems play a significant role in renewable energy production. Due to the nonlinear and multi-modal nature of PV models, using accurate model parameters is crucial. In recent years, metaheuristic algorithms have been utilized to es...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
2 Citations
1,358 Views
26 Pages

Weak Signal Detection Method for Millimeter-Wave Sensor Signals Based on Heterodyne Duffing Oscillator

  • Tai An,
  • Xiaopeng Yan,
  • Ningzhe Zhang,
  • Xinhong Hao and ,
  • Jinyu Zhang and
  • Jian Dai
  • + 1 author+ 0 author

3 February 2026

Millimeter-wave technology helps achieve antenna miniaturization and high gain, but it is limited by factors such as short wavelength, high transmission loss, and high signal-to-noise ratio, which put higher requirements on the accuracy and computing...

(This article belongs to the Topic A Real-World Application of Chaos Theory)
  • Article
  • Open Access
1 Citations
914 Views
20 Pages

3 February 2026

In this work, a robust optimization approach for energy-aware federated learning (FL) in industrial IoT networks is proposed that addresses uncertainties in harvested energy, device failures, and dynamic topologies. The proposed neurosymbolic reasoni...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
1 Citations
997 Views
23 Pages

Integrating Lipschitz Extensions and Probabilistic Modelling for Metric Space Classification

  • Roger Arnau,
  • Álvaro González Cortés and
  • Enrique A. Sánchez Pérez

3 February 2026

Lipschitz-based classification provides a flexible framework for general metric spaces, naturally adapting to complex data structures without assuming linearity. However, direct applications of classical extensions often yield decision boundaries equ...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
1 Citations
730 Views
16 Pages

3 February 2026

The present study investigates the generalized dispersion of a solute in an incompressible MHD flow via a rectangular channel with injectable or suctioned walls. The mathematical model of dispersion suggests a distinct type of mass flux expressed as...

(This article belongs to the Special Issue Advances and Applications in Computational Fluid Dynamics)
  • Article
  • Open Access
1 Citations
808 Views
15 Pages

A New Uniform Hyperbolic Polynomial B-Spline Computational Scheme for 3rd-Order Pseudo-Parabolic Problem

  • Mutum Zico Meetei,
  • Mohammad Tamsir,
  • Manoj Singh,
  • Neeraj Dhiman and
  • Faizan Ahmad Khan

2 February 2026

This work introduces a new UHPB-spline computation approach to approximate the pseudo-parabolic problem of order three, which exposes parabolic as well as hyperbolic physical appearance. The approach is used for the discretization of spatial derivati...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
1 Citations
986 Views
21 Pages

Certain Properties and Characterizations of Generalized Gould–Hopper-Based Hybrid Polynomials

  • Waseem Ahmad Khan,
  • Francesco Aldo Costabile,
  • Can Kızılateş,
  • Khidir Shaib Mohamed and ,
  • Alawia Adam and
  • Mona A. Mohamed
  • + 1 author+ 0 author

2 February 2026

This study offers a comprehensive generalization of the Gould–Hopper polynomials and their Appell-type analogs. Employing the quasi-monomiality approach, we delineate fundamental analytical characteristics, including recurrence relations, assoc...

(This article belongs to the Special Issue Polynomial Sequences and Their Applications, 2nd Edition)
  • Article
  • Open Access
962 Views
28 Pages

Efficient Modeling of the Energy Sector Using a New Bivariate Copula

  • Jumanah Ahmed Darwish and
  • Muhammad Qaiser Shahbaz

2 February 2026

Copulas are a useful tool to generate bivariate distributions from the univariate marginals. This method is also useful to generate bivariate families of distributions. In this paper, a new copula has been proposed. Some useful properties of the prop...

(This article belongs to the Special Issue Advances in Statistical Methods with Applications)
  • Review
  • Open Access
2,074 Views
29 Pages

2 February 2026

Digital signal processing plays a central role in intelligent railway communications under high-mobility, strong-multipath, and time-varying-channel conditions. This review surveys representative techniques for multi-carrier modulation, precoding, in...

  • Article
  • Open Access
714 Views
30 Pages

2 February 2026

To enhance the assessment accuracy of tunnel face instability risks of active collapse during shield tunneling, this study establishes a novel unified analytical framework that couples the effects of unsaturated transient seepage induced by excavatio...

(This article belongs to the Special Issue Mathematical Modeling and Analysis in Mining Engineering)
  • Article
  • Open Access
2,182 Views
30 Pages

Structural Preservation in Time Series Through Multiscale Topological Features Derived from Persistent Homology

  • Luiz Carlos de Jesus,
  • Francisco Fernández-Navarro and
  • Mariano Carbonero-Ruz

2 February 2026

A principled, model-agnostic framework for structural feature extraction in time series is presented, grounded in topological data analysis (TDA). The motivation stems from two gaps identified in the literature: First, compact and interpretable repre...

(This article belongs to the Special Issue Advancement of Mathematical Methods in Feature Representation Learning for Artificial Intelligence, Data Mining and Robotics, 3rd Edition)
  • Article
  • Open Access
958 Views
30 Pages

2 February 2026

Accurate statistical inference for zero-inflated and highly skewed data requires confidence interval procedures with a strong finite-sample performance. The delta–inverse Gaussian distribution provides a flexible framework for modeling such dat...

(This article belongs to the Special Issue Statistical Inference: Methods and Applications)
  • Article
  • Open Access
1,003 Views
28 Pages

2 February 2026

We present a parallel algorithm for computing the covering radius of a linear [n,k]q code using its parity-check matrix. The method is based on the systematic generation of syndromes associated with linear combinations of columns of the parity-check...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
3 Citations
2,819 Views
41 Pages

Is Every Cognitive Phenomenon Computable?

  • Fernando Rodriguez-Vergara and
  • Phil Husbands

2 February 2026

According to the Church–Turing thesis, the limit of what is computable is bounded by Turing machines. Following from this, given that general computable functions formally describe the notion of recursive mechanisms, it is sometimes argued that...

(This article belongs to the Section E3: Mathematical Biology)
  • Editorial
  • Open Access
1 Citations
541 Views
3 Pages

Preface for “Fractional-Order Systems: Control, Modeling and Applications”

  • Yiming Chen,
  • Aimin Yang,
  • Jiaquan Xie and
  • Yanqiao Wei

2 February 2026

Fractional-order systems have emerged as a powerful mathematical framework for describing complex dynamic behaviors that integer-order models fail to capture accurately [...]

(This article belongs to the Special Issue Fractional-Order Systems: Control, Modeling and Applications)

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Mathematics - ISSN 2227-7390