Axioms

Article	Citations
Levinson’s Functional in Time Scale Settings	102
Estimates for Generalized Parabolic Marcinkiewicz Integrals with Rough Kernels on Product Domains	72
A Discrete Characterization of the Solvability of Equilibrium Problems and Its Application to Game Theory	71
New Partially Linear Regression and Machine Learning Models Applied to Agronomic Data	59
Discrete Analogue of Fishburn’s Fractional-Order Stochastic Dominance	59
Geometry of Harmonic Nearly Trans-Sasakian Manifolds	57
Probabilistic Assessment of Structural Integrity	54
Product States of Infinite Tensor Product of JC-algebras	53
Derivation of Bounds for Majorization Differences by a Novel Method and Its Applications in Information Theory	52
Consistent Sampling Approximations in Abstract Hilbert Spaces	48
A Family of Generalized Legendre-Based Apostol-Type Polynomials	47
Closed-Form Solutions of Linear Ordinary Differential Equations with General Boundary Conditions	47
Numerical Analysis of Heat Transfer through Hollow Brick Using Finite-Difference Method	45
Reinitializing Sea Surface Temperature in the Ensemble Intermediate Coupled Model for Improved Forecasts	42
On the Monoid of Unital Endomorphisms of a Boolean Ring	42
How Containment Can Effectively Suppress the Outbreak of COVID-19: A Mathematical Modeling	41
Hyperbolic B-Spline Function-Based Differential Quadrature Method for the Approximation of 3D Wave Equations	36
A Note on Finite Coarse Shape Groups	36
Periodic Property and Instability of a Rotating Pendulum System	36
Preface to the Special Issue “A Themed Issue on Mathematical Inequalities, Analytic Combinatorics and Related Topics in Honor of Professor Feng Qi”	36
Joint Approximation of Analytic Functions by Shifts of the Riemann Zeta-Function Twisted by the Gram Function II	36
RPCGB Method for Large-Scale Global Optimization Problems	35
Solutions for Some Mathematical Physics Problems Issued from Modeling Real Phenomena: Part 1	35
Asymptotic Stability of the Magnetohydrodynamic Flows with Temperature-Dependent Transport Coefficients	32
Experimental Study of Void Fraction Measurement Using a Capacitance-Based Sensor and ANN in Two-Phase Annular Regimes for Different Fluids	31

A Note on Finite Dimensional Odd Contact Lie Superalgebra in Prime Characteristic	31
Some New Geometric State-Space Properties of the Classical Linear Time-Optimal Control Problem with One Input and Real Non-Positive Eigenvalues of the System Following from Pontryagin’s Maximum Princi	31
On Conditional Axioms and Associated Inference Rules	29
Hermite–Hadamard–Mercer Inequalities Associated with Twice-Differentiable Functions with Applications	29
A Characterization of Normal Injective and Normal Projective Hypermodules	29
Review of Quaternion Differential Equations: Historical Development, Applications, and Future Direction	29
ℤ2 × ℤ2 Equivariant Quantum Neural Networks: Benchmarking against Classical Neural Networks	29
Projection Uniformity of Asymmetric Fractional Factorials	28
Multi-Objective Task Scheduling of Circuit Repair	28
Canonical Metrics on Twisted Quiver Bundles over a Class of Non-Compact Gauduchon Manifold	27
Goodness-of-Fit Test for the Bivariate Negative Binomial Distribution	26
Weighted Composition Operators between Bers-Type Spaces on Generalized Hua–Cartan–Hartogs Domains	25
Interior Peak Solutions for a Semilinear Dirichlet Problem	25
Approximation Properties of the Blending-Type Bernstein–Durrmeyer Operators	25
A Novel Integration Method for D Numbers Based on Horizontal Comparison	24
Operator Smith Algorithm for Coupled Stein Equations from Jump Control Systems	24
Uncertainty Degradation Model for Initiating Explosive Devices Based on Uncertain Differential Equations	24
Oscillation and Asymptotic Properties of Differential Equations of Third-Order	24
Solving Nonlinear Second-Order ODEs via the Eisenhart Lift and Linearization	23
Solving Fractional Volterra–Fredholm Integro-Differential Equations via A** Iteration Method	23
Equivalence between the Existence of Best Proximity Points and Fixed Points for Some Classes of Proximal Contractions	23
Fixed Point Results of Fuzzy Multivalued Graphic Contractive Mappings in Generalized Parametric Metric Spaces	22
Starlikeness and Convexity of Generalized Bessel-Maitland Function	21
Cumulative Entropy of Past Lifetime for Coherent Systems at the System Level	21
First-Order Differential Subordinations and Their Applications	21
On the Kalman Smoother Interpolation Error Distribution in Collocation Comparison of Atmospheric Profiles	21
Personalized Transfer Learning Framework for Remaining Useful Life Prediction Using Adaptive Deconstruction and Dynamic Weight Informer	21
Conditions When the Problems of Linear Programming Are Algorithmically Unsolvable	21
Three-Way Fuzzy Sets and Their Applications (II)	21
Starlike Functions Associated with Bernoulli’s Numbers of Second Kind	20
Selection of Cold Chain Logistics Service Providers Based on a Grey AHP and Grey COPRAS Framework: A Case Study in Vietnam	20
Numerical Simulation of Constrained Flows through Porous Media Employing Glimm’s Scheme	20
Fourier Series Related to p-Trigonometric Functions	20
Coefficient Bounds and Fekete–Szegö Inequalities for a Two Families of Bi-Univalent Functions Related to Gegenbauer Polynomials	20
First Passage Analysis in a Queue with State Dependent Vacations	19
Best Proximity Point for ΓτF-Fuzzy Proximal Contraction	19
Moderate Deviation Principle for Linear Processes Generated by Dependent Sequences under Sub-Linear Expectation	19
A Simple Frequency Formulation for the Tangent Oscillator	18
Axiomatic Processes for Asymmetric Allocation Rules under Fuzzy Multicriteria Situations	18
Multi-Label Classification of E-Commerce Customer Reviews via Machine Learning	18
Stability Switching in Lotka-Volterra and Ricker-Type Predator-Prey Systems with Arbitrary Step Size	18
Parameter Estimation of the Dirichlet Distribution Based on Entropy	18
Minor and Major Strain: Equations of Equilibrium of a Plane Domain with an Angular Cutout in the Boundary	18
On the Acoustic Radiation Force Affecting Two Liquid Drops Located in the Wave Field	18
Computational Heat Transfer and Fluid Dynamics	17
The Regional Enlarged Observability for Hilfer Fractional Differential Equations	17
An Effective Approximation Algorithm for Second-Order Singular Functional Differential Equations	17
Stability for Weakly Coupled Wave Equations with a General Internal Control of Diffusive Type	17
Infinite Horizon Irregular Quadratic BSDE and Applications to Quadratic PDE and Epidemic Models with Singular Coefficients	17
Information Processing with Stability Point Modeling in Cohen–Grossberg Neural Networks	17

A Two-Step Estimation Method for a Time-Varying INAR Model	17
The Existence of Li–Yorke Chaos in a Discrete-Time Glycolytic Oscillator Model	16
Emotional Classification Method (ECW): A Methodology for Measuring Emotional Sustainability in a Work Environment Utilizing Artificial Intelligence	16
Characterization of Non-Linear Bi-Skew Jordan n-Derivations on Prime ∗-Algebras	16
Solving the Fornberg–Whitham Model Derived from Gilson–Pickering Equations by Analytical Methods	16
Extremal Graphs for Sombor Index with Given Parameters	16
Research on the Optimization of Pricing and the Replenishment Decision-Making Problem Based on LightGBM and Dynamic Programming	16
A Stable Generalized Finite Element Method Coupled with Deep Neural Network for Interface Problems with Discontinuities	15
Personalized Treatment Policies with the Novel Buckley-James Q-Learning Algorithm	15
Optimal Control for Parabolic Uncertain System Based on Wavelet Transformation	15
Quasi-Hermitian Formulation of Quantum Mechanics Using Two Conjugate Schrödinger Equations	15
Hamiltonian Indices of Three Classes of Graphs Obtained from Petersen Graph	15
Some Cardinal and Geometric Properties of the Space of Permutation Degree	15
Distributed Charging Strategy of PEVs in SCS with Feeder Constraints Based on Generalized Nash Equilibria	15
The Performance of Topic Evolution Based on a Feature Maximization Measurement for the Linguistics Domain	15
On the Convergence of an Approximation Scheme of Fractional-Step Type, Associated to a Nonlinear Second-Order System with Coupled In-Homogeneous Dynamic Boundary Conditions	15
Existence of Solutions: Investigating Fredholm Integral Equations via a Fixed-Point Theorem	15
A Coupled PDE-ODE Model for Nonlinear Transient Heat Transfer with Convection Heating at the Boundary: Numerical Solution by Implicit Time Discretization and Sequential Decoupling	14
Quantization of the Rank Two Heisenberg–Virasoro Algebra	14
General Pseudo Quasi-Overlap Functions on Lattices	14
Hyperbolic and Weak Euclidean Polynomials from Wronskian and Leibniz Maps	14
Long Colimits of Topological Groups III: Homeomorphisms of Products and Coproducts	14
The Existence of Weak Solutions for the Vorticity Equation Related to the Stratosphere in a Rotating Spherical Coordinate System	14
On a Class of Isoperimetric Constrained Controlled Optimization Problems	14
Parametric Expansions of an Algebraic Variety near Its Singularities	14
Extensions of Some Statistical Concepts to the Complex Domain	13
Linearized Stability Analysis of Nonlinear Delay Differential Equations with Impulses	13
Unit-Power Half-Normal Distribution Including Quantile Regression with Applications to Medical Data	13
Global Existence of Chemotaxis-Navier–Stokes System with Logistic Source on the Whole Space R2	13
On Construction and Estimation of Mixture of Log-Bilal Distributions	13
On Bivariate Distributions with Singular Part	13
Spectrum of the Cozero-Divisor Graph Associated to Ring Zn	13
2-Complex Symmetric Composition Operators on H2	13
The Invariant Subspace Problem for Separable Hilbert Spaces	13
On Properties and Classification of a Class of 4-Dimensional 3-Hom-Lie Algebras with a Nilpotent Twisting Map	13
A Model in Which the Separation Principle Holds for a Given Effective Projective Sigma-Class	13
Introduction to the Special Issue in Axioms Titled Current Research on Mathematical Inequalities	13
Smooth Logistic Real and Complex, Ordinary and Fractional Neural Network Approximations over Infinite Domains	13
Head Waves in Modified Weiskopf Sandy Medium	13
Edge DP-Coloring in K4-Minor Free Graphs and Planar Graphs	13
Accurate Time-Domain Modeling of Arbitrarily Shaped Graphene Layers Utilizing Unstructured Triangular Grids	12
Oscillation of Repeated Max-Weighted Power Mean Compositions of Fuzzy Matrices	12
New Interval-Valued Soft Separation Axioms	12
Rough-Fuzzy Based Synthetic Data Generation Exploring Boundary Region of Rough Sets to Handle Class Imbalance Problem	12
An Improved Algorithm for Identification of Dominating Vertex Set in Intuitionistic Fuzzy Graphs	12
Finsler Warped Product Metrics with Special Curvature Properties	12
Normed Space of Fuzzy Intervals and Its Topological Structure	12
On the Generalized Bilal Distribution: Some Properties and Estimation under Ranked Set Sampling	12
A Novel Color Recognition Model for Improvement on Color Differences in Products via Grey Relational Grade	12
Nonlocal Problem for a Third-Order Equation with Multiple Characteristics with General Boundary Conditions	12
A Self-Adaptive Algorithm for the Common Solution of the Split Minimization Problem and the Fixed Point Problem	12
A Randomized Distributed Kaczmarz Algorithm and Anomaly Detection	12
Complete Invariant ⋆-Metrics on Semigroups and Groups	12
Stochastic Ordering Results on Implied Lifetime Distributions under a Specific Degradation Model	12
Editorial: Overview and Some New Directions	12
Covariant Space-Time Line Elements in the Friedmann–Lemaitre–Robertson–Walker Geometry	12
Adding a Degree of Certainty to Deductions in a Fuzzy Temporal Constraint Prolog: FTCProlog	12
A Compensatory Fuzzy Logic Model in Technical Trading	12
The Modal Logic of Aristotelian Diagrams	12
Pythagorean Isoparametric Hypersurfaces in Riemannian and Lorentzian Space Forms	12
ISI-Equienergetic Graphs	12
A Quasiconformal-Based Geometric Model for Craniofacial Analysis and Its Application	12
Sharp Bounds for the Second Hankel Determinant of Logarithmic Coefficients for Strongly Starlike and Strongly Convex Functions	12
Two Convergence Results for Inexact Orbits of Nonexpansive Operators in Metric Spaces with Graphs	12
Subclasses of Yamakawa-Type Bi-Starlike Functions Associated with Gegenbauer Polynomials	11
Study of Rotavirus Mathematical Model Using Stochastic and Piecewise Fractional Differential Operators	11
An Efficient Jarratt-Type Iterative Method for Solving Nonlinear Global Positioning System Problems	11
Application of the Methodology of Multi-Valued Logic Trees with Weighting Factors in the Optimization of a Proportional Valve	11
Diagrammatic and Modal Dimensions of the Syllogisms of Hegel and Peirce	11
An Application of Sălăgean Operator Concerning Starlike Functions	11
Two-Matchings with Respect to the General Sum-Connectivity Index of Trees	11
PSEV-BF Methodology for Object Recognition of Birds in Uncontrolled Environments	11
Gamma-Nabla Hardy–Hilbert-Type Inequalities on Time Scales	11
Maximum Principle and Second-Order Optimality Conditions in Control Problems with Mixed Constraints	11
Fractional Calculus—Theory and Applications	11
On Special Fuzzy Differential Subordinations Obtained for Riemann–Liouville Fractional Integral of Ruscheweyh and Sălăgean Operators	11
Conditional Expanding of Functions by q-Lidstone Series	11
Robust Solution of the Multi-Model Singular Linear-Quadratic Optimal Control Problem: Regularization Approach	11
Norm and Numerical Radius Inequalities for Sums of Power Series of Operators in Hilbert Spaces	11
Local Structure of Convex Surfaces near Regular and Conical Points	11

General Exact Schemes for Second-Order Linear Differential Equations Using the Concept of Local Green Functions	10
Exact Solutions to Fractional Schrödinger–Hirota Equation Using Auxiliary Equation Method	10
Study of Time-Fractional Nonlinear Model Governing Unsteady Flow of Polytropic Gas	10
Similarity Classes of the Longest-Edge Trisection of Triangles	10
Incorporating Socio-Economic Factors in Maximizing Two-Dimensional Demand Coverage and Minimizing Distance to Uncovered Demand: A Dual-Objective MCLP Approach for Fire Station Location Selection	10
A Self Adaptive Three-Step Numerical Scheme for Variational Inequalities	10
The Decomposability of Toroidal Graphs without Adjacent Triangles or Short Cycles	10
A General Fixed Point Theorem for a Sequence of Multivalued Mappings in S-Metric Spaces	10
Remarks on Conjectures in Block Theory of Finite Groups	10
Newton-like Normal S-iteration under Weak Conditions	10
A Vector Representation of Multicomplex Numbers and Its Application to Radio Frequency Signals	10
An Equivalent Form Related to a Hilbert-Type Integral Inequality	10
Mathematical Model of the Evolution of a Simple Dynamic System with Dry Friction	10
On the Existence, Uniqueness and a Numerical Approach to the Solution of Fractional Cauchy–Euler Equation	10
KCC Theory of the Oregonator Model for Belousov-Zhabotinsky Reaction	10
Bivariate Length-Biased Exponential Distribution under Progressive Type-II Censoring: Incorporating Random Removal and Applications to Industrial and Computer Science Data	10
On Boundary Controllability for the Higher-Order Nonlinear Schrödinger Equation	10
Mathematical Models of the Processes of Operation, Renewal and Degradation of a Fleet of Complex Technical Systems with Metrological Support	10
A Fuzzy Random Boundary Value Problem	10
Analyzing the Main Determinants for Being an Immigrant in Cuenca (Ecuador) Based on a Fuzzy Clustering Approach	9
θ*-Weak Contractions and Discontinuity at the Fixed Point with Applications to Matrix and Integral Equations	9
Randomly Stopped Sums with Generalized Subexponential Distribution	9
Grey Estimator-Based Tracking Controller Applied to Swarm Robot Formation	9
Optimal Fourth-Order Methods for Multiple Zeros: Design, Convergence Analysis and Applications	9
Using Genetic Algorithms and Core Values of Cooperative Games to Solve Fuzzy Multiobjective Optimization Problems	9
Surface Family Pair with Bertrand Pair as Mutual Curvature Lines in Three-Dimensional Lie Group	9
Derivative Formulas and Gradient of Functions with Non-Independent Variables	9
Investigation of Proximal Spaces Using Relators	9
On Λ-Fractional Viscoelastic Models	9
Innovative Strategy for Constructing Soft Topology	9
Bounds for the Neuman–Sándor Mean in Terms of the Arithmetic and Contra-Harmonic Means	9
Two Inverse Problems Solution by Feedback Tracking Control	9
Some New Results for a Class of Multivalued Interpolative Kannan-Type Contractions	9
Translational Regular Variability and the Index Function	9
A Reliable Computational Scheme for Stochastic Reaction–Diffusion Nonlinear Chemical Model	9
A Bi-Level Vaccination Points Location Problem That Aims at Social Distancing and Equity for the Inhabitants	9
Hyperreal Delta Functions as a New General Tool for Modeling Systems with Infinitely High Densities	9
A Finitely Axiomatized Non-Classical First-Order Theory Incorporating Category Theory and Axiomatic Set Theory	9
Interdimensionality	9
Study of the Six-Compartment Nonlinear COVID-19 Model with the Homotopy Perturbation Method	9
Modulation Transfer between Microwave Beams: A Hypothesized Case of a Classically-Forbidden Stochastic Process	9
Effects of COVID-19 Pandemic on the Bulgarian Stock Market Returns	9
Efficient Formulation for Vendor–Buyer System Considering Optimal Allocation Fraction of Green Production	9
Path Planning and Trajectory Tracking for Autonomous Obstacle Avoidance in Automated Guided Vehicles at Automated Terminals	9
Geometric Properties of Planar and Spherical Interception Curves	9
Application of the Triple Sumudu Decomposition Method for Solving 1+1 and 2+1-Dimensional Boussinesq Equations	9
The Branch-and-Bound Algorithm in Optimizing Mathematical Programming Models to Achieve Power Grid Observability	9
Optimal and Efficient Approximations of Gradients of Functions with Nonindependent Variables	9
Elliptic Problems with Additional Unknowns in Boundary Conditions and Generalized Sobolev Spaces	9
Optimizing Sugar Manufacturing: A Hybrid Simulation-Based Approach and MCDM for Efficient Decision Making	8
Editorial Conclusion for the Special Issue “Special Issue in Honor of the 60th Birthday of Professor Hong-Kun Xu”	8
The Dynamics of a General Model of the Nonlinear Difference Equation and Its Applications	8
Various Solitons and Other Wave Solutions to the (2+1)-Dimensional Heisenberg Ferromagnetic Spin Chain Dynamical Model	8
Various Series Related to the Polylogarithmic Function	8
Basic Properties for Certain Subclasses of Meromorphic p-Valent Functions with Connected q-Analogue of Linear Differential Operator	8
The Design of State-Dependent Switching Rules for Second-Order Switched Linear Systems Revisited	8
Study of the Hypergeometric Equation via Data Driven Koopman-EDMD Theory	8
A New Subclass of Bi-Univalent Functions Defined by a Certain Integral Operator	8
Fixed Point Theory for Multi-Valued Feng–Liu–Subrahmanyan Contractions	8
A Note on the New Ostrowski and Hadamard Type Inequalities via the Hölder–İşcan Inequality	8
Some Refinements and Generalizations of Bohr’s Inequality	8
A Heuristic Attribute-Reduction Algorithm Based on Conditional Entropy for Incomplete Information Systems	8
The Cauchy–Optimal Stability Results for Cauchy–Jensen Additive Mappings in the Fuzzy Banach Space and the Unital Fuzzy Banach Space	8
Fredholm Determinant and Wronskian Representations of the Solutions to the Schrödinger Equation with a KdV-Potential	8
Assessing Green Approaches and Digital Marketing Strategies for Twin Transition via Fermatean Fuzzy SWARA-COPRAS	8
Three Existence Results in the Fixed Point Theory	8
A Hybrid Rule-Based Rough Set Approach to Explore Corporate Governance: From Ranking to Improvement Planning	8
Solving Integral Equations Using Weakly Compatible Mappings via D*-Metric Spaces	8
Paw-Type Characterization of Hourglass-Free Hamilton-Connected Graphs	8
Non-Fragile Sampled Control Design for an Interconnected Large-Scale System via Wirtinger Inequality	8
Dynamical Properties of Discrete-Time HTLV-I and HIV-1 within-Host Coinfection Model	8
On Voigt-Type Functions Extended by Neumann Function in Kernels and Their Bounding Inequalities	8
Analysis of a Modified System of Infectious Disease in a Closed and Convex Subset of a Function Space with Numerical Study	8
Applications Optimal Math Model to Solve Difficult Problems for Businesses Producing and Processing Agricultural Products in Vietnam	8
Initial Coefficient Bounds for Bi-Close-to-Convex Classes of n-Fold-Symmetric Bi-Univalent Functions	8
Tolerance Limits and Sample-Size Determination Using Weibull Trimmed Data	8
Metrical Boundedness and Compactness of a New Operator between Some Spaces of Analytic Functions	8
An Interval Observer for a Class of Cyber–Physical Systems with Disturbance	8
Synchronization of Fractional Partial Difference Equations via Linear Methods	8
Quantum Chromodynamics and the Hyperbolic Unitary Group SUh(3)	8
Constructing Approximations to Bivariate Piecewise-Smooth Functions	8
Nonlinear Dynamic Behaviors of the (3+1)-Dimensional B-Type Kadomtsev—Petviashvili Equation in Fluid Mechanics	8
A Survey on the k-Path Vertex Cover Problem	8
Topologies on Smashed Twisted Wreath Products of Metagroups	8
From HX-Groups to HX-Polygroups	8
Third-Order Neutral Differential Equation with a Middle Term and Several Delays: Asymptotic Behavior of Solutions	8
Applications of Shell-like Curves Connected with Fibonacci Numbers	8
Approximating a Common Solution of Monotone Inclusion Problems and Fixed Point of Quasi-Pseudocontractive Mappings in CAT(0) Spaces	8
Analysis of WE Parameters of Life Using Adaptive-Progressively Type-II Hybrid Censored Mechanical Equipment Data	8
Multiplication Operators on Weighted Zygmund Spaces of the First Cartan Domain	8
Some Axioms and Identities of L-Moments from Logistic Distribution with Generalizations	8
On the Optimal Input Rate in Queues with Batch Service	8
Application of Migrating Optimization Algorithms in Problems of Optimal Control of Discrete-Time Stochastic Dynamical Systems	8
Post-Quantum Midpoint-Type Inequalities Associated with Twice-Differentiable Functions	7
Novel Frequency-Based Approach to Analyze the Stability of Polynomial Fractional Differential Equations	7