Axioms

Papers
(The median citation count of Axioms is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-12-01 to 2025-12-01.)
ArticleCitations
Existence Results for Generalized Vector Quasi-Equilibrium Problems in Hadamard Manifolds168
A Unified Asymptotic Theory of Supersonic, Transonic, and Hypersonic Far Fields76
Wave Patterns inside Transparent Scatterers76
On q-Horn Hypergeometric Functions H6 and H767
The Existence of Weak Solutions for the Vorticity Equation Related to the Stratosphere in a Rotating Spherical Coordinate System65
The Performance of Topic Evolution Based on a Feature Maximization Measurement for the Linguistics Domain62
A Story of Computational Science: Colonel Titus’ Problem from the 17th Century60
New Inequalities and Generalizations for Symmetric Means Induced by Majorization Theory59
First Passage Analysis in a Queue with State Dependent Vacations54
Numerical Solution of Mathematical Model of Heat Conduction in Multi-Layered Nanoscale Solids52
A Note on Generalized k-Order F&L Hybrinomials51
Goodness-of-Fit Test for the Bivariate Negative Binomial Distribution49
Homomorphic Encoders of Profinite Abelian Groups II49
Coefficient Bounds and Fekete–Szegö Inequalities for a Two Families of Bi-Univalent Functions Related to Gegenbauer Polynomials47
Remarks on Conjectures in Block Theory of Finite Groups43
An Enhanced Spatial Capture Model for Population Analysis Using Unidentified Counts through Camera Encounters43
Application of Migrating Optimization Algorithms in Problems of Optimal Control of Discrete-Time Stochastic Dynamical Systems43
A Two-Step Estimation Method for a Time-Varying INAR Model42
On a Surface Associated to the Catalan Triangle40
Multiplication Operators on Weighted Zygmund Spaces of the First Cartan Domain39
An Interval Observer for a Class of Cyber–Physical Systems with Disturbance39
Modern Problems of Mathematical Physics and Their Applications39
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 Selection38
Fourier Series for the Tangent Polynomials, Tangent–Bernoulli and Tangent–Genocchi Polynomials of Higher Order38
Numerical Analysis of Heat Transfer through Hollow Brick Using Finite-Difference Method36
Common Fixed Point Results on a Double-Controlled Metric Space for Generalized Rational-Type Contractions with Application36
On the Acoustic Radiation Force Affecting Two Liquid Drops Located in the Wave Field36
Positive Solutions of Operator Equations AX = B, XC = D36
Geometric Properties of Planar and Spherical Interception Curves35
Exact Solutions to Fractional Schrödinger–Hirota Equation Using Auxiliary Equation Method34
Discrete Analogue of Fishburn’s Fractional-Order Stochastic Dominance33
Hamiltonian Indices of Three Classes of Graphs Obtained from Petersen Graph33
Solutions for Some Mathematical Physics Problems Issued from Modeling Real Phenomena: Part 132
On the Optimal Input Rate in Queues with Batch Service32
The Dynamics of a General Model of the Nonlinear Difference Equation and Its Applications32
New Developments in Geometric Function Theory31
Editorial: Overview and Some New Directions31
Axioms and Methods for Handling Differential Equations and Inverse Problems29
The Approximation of Analytic Functions Using Shifts of the Lerch Zeta-Function in Short Intervals28
Refined Discontinuous Trigger Scheme for Event-Based Synchronization of Chaotic Neural Networks28
Reconstruction of Piecewise Smooth Functions Based on Fourier Extension27
pth Moment Exponential Synchronization of Fuzzy Stochastic Cellular Neural Networks with Discrete and Infinite Delays27
Analysis of Approximation Methods of Laplacian Eigenvectors of the Kronecker Product of Graphs26
Two Populations but a One-Mitigation Policy: A β(·)-SIR Approach26
A New Flexible Model for Three-Stage Phenomena: The Fragmented Kumar-Trapez Distribution26
Application of SVM, FFNNs, k-NN and Their Ensembles for Identifying Functionally Reliable Systems26
Super Quasi-Einstein Warped Products Manifolds with Respect to Affine Connections26
Oettli-Théra Theorem and Ekeland Variational Principle in Fuzzy b-Metric Spaces25
On the Equality A = A1A2 for Linear Relations25
Rough-Fuzzy Based Synthetic Data Generation Exploring Boundary Region of Rough Sets to Handle Class Imbalance Problem24
A Self Adaptive Three-Step Numerical Scheme for Variational Inequalities24
Mathematical Models of the Processes of Operation, Renewal and Degradation of a Fleet of Complex Technical Systems with Metrological Support24
Global Existence of Chemotaxis-Navier–Stokes System with Logistic Source on the Whole Space R224
Toeplitz Operators on Fock Space over Cn with Invariant Symbols under the Action of the Unit Circle23
A New Bivariate Survival Model: The Marshall-Olkin Bivariate Exponentiated Lomax Distribution with Modeling Bivariate Football Scoring Data23
On Using Relative Information to Estimate Traits in a Darwinian Evolution Population Dynamics23
Simultaneous Method for Solving Certain Systems of Matrix Equations with Two Unknowns23
The Fourfold Way to Gaussianity: Physical Interactions, Distributional Models and Monadic Transformations23
On Voigt-Type Functions Extended by Neumann Function in Kernels and Their Bounding Inequalities23
Fixed-Point Results for Multi-Valued Mappings in Topological Vector Space-Valued Cone Metric Spaces with Applications23
A Coupled PDE-ODE Model for Nonlinear Transient Heat Transfer with Convection Heating at the Boundary: Numerical Solution by Implicit Time Discretization and Sequential Decoupling23
Exploring Nonlinear Dynamics in Intertidal Water Waves: Insights from Fourth-Order Boussinesq Equations23
Stability for Weakly Coupled Wave Equations with a General Internal Control of Diffusive Type23
Different Types of Entropy Measures for Type-2 Fuzzy Sets22
New Interval-Valued Soft Separation Axioms22
An Extension of the Fréchet Distribution and Applications22
Maximizing the Index of Signed Complete Graphs Containing a Spanning Tree with k Pendant Vertices22
The Invariant Subspace Problem for Separable Hilbert Spaces22
Concerning Transformations of Bases Associated with Unimodular diag(1, −1, −1)-Matrices22
Bakry–Émery Curvature Sharpness and Curvature Flow in Finite Weighted Graphs. Implementation21
Local Structure of Convex Surfaces near Regular and Conical Points21
Coefficient Bounds for a Family of s-Fold Symmetric Bi-Univalent Functions21
Product States of Infinite Tensor Product of JC-algebras21
On the Construction of a Two-Step Sixth-Order Scheme to Find the Drazin Generalized Inverse21
Simulation of Marine Debris Path Using Mathematical Model in the Gulf of Thailand21
Hermite–Hadamard–Mercer-Type Inequalities for Three-Times Differentiable Functions20
An Effective Approximation Algorithm for Second-Order Singular Functional Differential Equations20
A Numerical Method for a Heat Conduction Model in a Double-Pane Window20
Fast Fixed-Time Control for Intra- and Inter-Layer Synchronization of Multi-Layer Networks20
A Nonlinear System of Differential Equations in Supercritical Flow Spread Problem and Its Solution Technique20
Hybridised Network of Fuzzy Logic and a Genetic Algorithm in Solving 3-Satisfiability Hopfield Neural Networks20
Homotopy Analysis Method and Physics-Informed Neural Networks for Solving Volterra Integral Equations with Discontinuous Kernels20
Diagrammatic and Modal Dimensions of the Syllogisms of Hegel and Peirce20
Quantifying Neutrosophic Research: A Bibliometric Study20
On the Normalized Laplacian Spectrum of the Zero-Divisor Graph of the Commutative Ring Zp1T1p2T220
Improved Multidimensional Quality of Life Index Based on Outranking Relations20
The Law of the Iterated Logarithm for the Error Distribution Estimator in First-Order Autoregressive Models20
Polyadic Encryption19
Extended Gevrey Regularity via Weight Matrices19
NIPUNA: A Novel Optimizer Activation Function for Deep Neural Networks19
Selection of a Forklift for a Cargo Company with Fuzzy BWM and Fuzzy MCRAT Methods19
Dynamical Properties of Discrete-Time HTLV-I and HIV-1 within-Host Coinfection Model19
Head Waves in Modified Weiskopf Sandy Medium19
Evaluating Global Container Shipping Companies: A Novel Approach to Investigating Both Qualitative and Quantitative Criteria for Sustainable Development19
A Comparative Study and Numerical Solutions for the Fractional Modified Lorenz–Stenflo System Using Two Methods19
A Novel Decomposition-Based Multi-Objective Evolutionary Algorithm with Dual-Population and Adaptive Weight Strategy19
Goodness-of-Fit Test for the Bivariate Hermite Distribution19
On (k,ψ)-Hilfer Fractional Differential Equations and Inclusions with Mixed (k,ψ)-Derivative and Integral Boundary Conditions19
Asymptotic Behavior of Solutions of the Cauchy Problem for a Hyperbolic Equation with Periodic Coefficients II18
Confidence Intervals for the Ratio of Variances of Delta-Gamma Distributions with Applications18
Group-Valued Multisets17
A Procedure for Constructing the Solution of a Nonlinear Fredholm Integro-Differential Equation of Second Order17
Characterizations of Matrix Equalities for Generalized Inverses of Matrix Products17
Computation of the Deuteron Mass and Force Unification via the Rotating Lepton Model17
Solutionsof Fuzzy Goursat Problems with Generalized Hukuhara (gH)-Differentiability Concept17
Near-Field Seismic Motion: Waves, Deformations and Seismic Moment17
Existence and Asymptotic Estimates of the Maximal and Minimal Solutions for a Coupled Tempered Fractional Differential System with Different Orders17
On Wijsman fρ-Statistical Convergence of Order α of Modulus Functions17
Object-Based Dynamics: Applying Forman–Ricci Flow on a Multigraph to Assess the Impact of an Object on The Network Structure17
A Note on the Volume Conserving Solution to Simultaneous Aggregation and Collisional Breakage Equation17
Discrete Single-Factor Extension of the Exponential Distribution: Features and Modeling17
Trapezoidal Intuitionistic Fuzzy Power Heronian Aggregation Operator and Its Applications to Multiple-Attribute Group Decision-Making17
Effect of Fuzzy Time Series on Smoothing Estimation of the INAR(1) Process17
Elephant Random Walk with a Random Step Size and Gradually Increasing Memory and Delays16
Abelian Function Fields on Jacobian Varieties16
Necessary and Sufficient Conditions for the Boundedness of Multiple Integral Operators with Super-Homogeneous Kernels in Weighted Lebesgue Space16
New Class of K-G-Type Symmetric Second Order Vector Optimization Problem16
Sensitivity Analysis of the Data Assimilation-Driven Decomposition in Space and Time to Solve PDE-Constrained Optimization Problems16
A Two-Step Newton Algorithm for the Weighted Complementarity Problem with Local Biquadratic Convergence16
Monogenity and Power Integral Bases: Recent Developments16
Elliptic Quaternion Matrices: A MATLAB Toolbox and Applications for Image Processing16
I-Convergence Sequence Paranormed Spaces of Order (α, β)16
An Optimal Property of B-Bases for the Modified Richardson Method16
Remarks on “Perov Fixed-Point Results on F-Contraction Mappings Equipped with Binary Relation”16
An Extended Hilbert-Type Inequality with Two Internal Variables Involving One Partial Sums16
Generalization of the Distance Fibonacci Sequences16
Extremal Trees for Logarithmic VDB Topological Indices16
Nonlocal Extensions of First Order Initial Value Problems16
Fog, Friction, and Failure in Organized Conflict: A Formal Study16
Abundant Solitary Wave Solutions for the Boiti–Leon–Manna–Pempinelli Equation with M-Truncated Derivative16
Open Problems and Conjectures in the Evolutionary Periodic Ricker Competition Model16
Kinematic Differential Geometry of a Line Trajectory in Spatial Movement15
Proportional Odds Hazard Model for Discrete Time-to-Event Data15
Solvability of Iterative Classes of Nonlinear Elliptic Equations on an Exterior Domain15
A Time-Varying Coefficient Double Threshold GARCH Model with Explanatory Variables15
A Straightforward Sufficiency Proof for a Nonparametric Problem of Bolza in the Calculus of Variations15
Application of Variational Iterations Method for Studying Physically and Geometrically Nonlinear Kirchhoff Nanoplates: A Mathematical Justification15
Robust Multi-Criteria Traffic Network Equilibrium Problems with Path Capacity Constraints15
Characteristic Function of Maxmax Defensive-Equilibrium Representation for TU-Games with Strategies15
Generalized Partially Functional Linear Model with Unknown Link Function15
Constant-Sign Green’s Function of a Second-Order Perturbed Periodic Problem15
Approximating the Moments of Generalized Gaussian Distributions via Bell’s Polynomials15
An Efficient Non-Standard Numerical Scheme Coupled with a Compact Finite Difference Method to Solve the One-Dimensional Burgers’ Equation15
A Note on a Fractional Extension of the Lotka–Volterra Model Using the Rabotnov Exponential Kernel14
Modeling Long Memory and Regime Switching with an MRS-FIEGARCH Model: A Simulation Study14
Study of Burgers–Huxley Equation Using Neural Network Method14
Another New Sequence Which Converges Faster Towards to the Euler–Mascheroni Constant14
The Generalized Multistate Complex Network Contagion Dynamics Model and Its Stability14
Images of Generalized Multilinear Polynomials on Upper Triangular Matrix Algebras14
Partial Derivatives Estimation of Multivariate Variance Function in Heteroscedastic Model via Wavelet Method14
Some New Estimations of Left and Right Interval Fractional Pachpatte’s Type Integral Inequalities via Rectangle Plane14
Join Operation for Semantic Data Enrichment of Asynchronous Time Series Data14
Robust Adaptive Lasso via Robust Sample Autocorrelation Coefficient for the Autoregressive Models14
Perturbation for the Group Inverse in a Banach Algebra14
Observer-Linked Branching (OLB)—A Proposed Quantum-Theoretic Framework for Macroscopic Reality Selection14
Infinite Series and Logarithmic Integrals Associated to Differentiation with Respect to Parameters of the Whittaker Mκ,μ(x) Function I14
A Relational Semantics for Ockham’s Modalities14
A New Class of Coordinated Non-Convex Fuzzy-Number-Valued Mappings with Related Inequalities and Their Applications14
Distortion Theory of Biunivalent Holomorphic Functions14
Reliability and Availability Analysis of a Two-Unit Cold Standby System with Imperfect Switching14
Szász–Beta Operators Linking Frobenius–Euler–Simsek-Type Polynomials13
Inequalities of Ostrowski Type for Functions Whose Derivative Module Is Relatively Convex on Time Scales13
On the Truncated Multidimensional Moment Problems in Cn13
Construction Theorem and Application of a Semi-Discrete Hilbert-Type Inequality Involving Partial Sums and Variable Upper Limit Integral Functions13
Notes on Semiprime Ideals with Symmetric Bi-Derivation13
The Waiting Time Distribution of Competing Patterns in Markov-Dependent Bernoulli Trials13
A Study of Monotonicity Analysis for the Delta and Nabla Discrete Fractional Operators of the Liouville–Caputo Family13
Estimations of Modified Lindley Parameters Using Progressive Type-II Censoring with Applications13
On a Generic Fractional Derivative Associated with the Riemann–Liouville Fractional Integral13
Flexible and Efficient Iterative Solutions for General Variational Inequalities in Real Hilbert Spaces13
Analysis of Screen Generic Lightlike Submanifolds in an Indefinite Kaehler Statistical Manifold Endowed with a Quarter-Symmetric Non-Metric Connection13
Construction of Topic Hierarchy with Subtree Representation for Knowledge Graphs13
Geometric and Physical Characteristics of Pseudo-Schouten Symmetric Manifolds13
Semi-Overlap Functions on Complete Lattices, Semi-Θ-Ξ Functions, and Inflationary MTL Algebras13
Some Refinements of Hermite–Hadamard Type Integral Inequalities Involving Refined Convex Function of the Raina Type13
Razy: A String Matching Algorithm for Automatic Analysis of Pathological Reports13
Advance in Topology and Functional Analysis in Honour of María Jesús Chasco’s 65th Birthday13
Inverse and Logarithmic Coefficient Bounds of Concave Univalent Functions13
Three Kinds of Denting Points and Their Further Applications in Banach Spaces13
Multiple Solutions of Fractional Kazdan–Warner Equation for Negative Case on Finite Graphs13
Enhanced Real-Life Data Modeling with the Modified Burr III Odds Ratio–G Distribution12
Analysis of Water Infiltration under Impermeable Dams by Analytical and Boundary Element Methods in Complex12
Comparative Analysis of the Existence and Uniqueness Conditions of Parameter Estimation in Paired Comparison Models12
Some New Applications of the Mellin Transform Involving the Lambert Transforms and Implications for the Riemann Hypothesis12
Advances in General Topology and Its Application12
Two Novel Models for Traffic Sign Detection Based on YOLOv5s12
Stability of Anisotropy Pressure in Self-Gravitational Systems in f(G) Gravity12
Numerical Scheme Based on the Implicit Runge-Kutta Method and Spectral Method for Calculating Nonlinear Hyperbolic Evolution Equations12
Statistical Inferences about Parameters of the Pseudo Lindley Distribution with Acceptance Sampling Plans12
Linguistic Complex Fuzzy Sets12
On Discrete Presheaf Monads12
Solving Integral Equations via Fixed Point Results Involving Rational-Type Inequalities12
Proportional Hazard Model and Proportional Odds Model under Dependent Truncated Data12
Quantum Private Comparison Protocol with Cluster States12
Coexistence of Algebraic Limit Cycles and Small Limit Cycles of Two Classes of Near-Hamiltonian Systems with a Nilpotent Singular Point12
A New Topological Approach to Target the Existence of Solutions for Nonlinear Fractional Impulsive Wave Equations12
New Fixed Point Theorem on Triple Controlled Metric Type Spaces with Applications to Volterra–Fredholm Integro-Dynamic Equations12
A Proof of Chaos for a Seasonally Perturbed Version of Goodwin Growth Cycle Model: Linear and Nonlinear Formulations12
Statistical Inference for Two Gumbel Type-II Distributions under Joint Type-II Censoring Scheme12
Interpreting Infinite Numbers12
Numerical Solution of Time-Fractional Schrödinger Equation by Using FDM12
The Application of the Bidiagonal Factorization of Totally Positive Matrices in Numerical Linear Algebra12
Modified Wild Horse Optimizer for Constrained System Reliability Optimization12
Modal Regression Estimation by Local Linear Approach in High-Dimensional Data Case12
A Mathematical Model of the Generalized Finite Strain Consolidation Process and Its Deep Galerkin Solution12
On Some Properties of Multi-Valued Feng–Liu-Type Operators in Metric Spaces11
Sharp Power Mean Bounds for Two Seiffert-like Means11
Conformal Solutions of Static Plane Symmetric Cosmological Models in Cases of a Perfect Fluid and a Cosmic String Cloud11
Modeling COVID-19 Real Data Set by a New Extension of Haq Distribution11
Reliability Analysis and Numerical Simulation of the Five-Robot System with Early Warning Function11
Regularized Asymptotic Solutions of a Singularly Perturbed Fredholm Equation with a Rapidly Varying Kernel and a Rapidly Oscillating Inhomogeneity11
On Equivalence Operators Derived from Overlap and Grouping Functions11
Probabilistic Interval Ordering Prioritized Averaging Operator and Its Application in Bank Investment Decision Making11
Finding Set Extreme 3-Uniform Hypergraphs Cardinality through Second-Order Signatures11
Residuated Basic Logic11
Modeling Socioeconomic Determinants of Building Fires through Backward Elimination by Robust Final Prediction Error Criterion11
Isogeometric Schwarz Preconditioners with Generalized B-Splines for the Biharmonic Problem11
New Improvements of the Jensen–Mercer Inequality for Strongly Convex Functions with Applications11
Solution of High-Order Nonlinear Integrable Systems Using Darboux Transformation11
Global Analysis of Compressible Navier–Stokes–Korteweg Equations: Well-Posedness and Gevrey Analyticity11
Reconstructing Loads in Nanoplates from Dynamic Data11
Spanning k-Ended Tree in 2-Connected Graph11
The Kinetic Theory of Mutation Rates11
Quasi-Semilattices on Networks11
Sparse Signal Recovery via Rescaled Matching Pursuit11
Analysis of the Stress–Strength Model Using Uniform Truncated Negative Binomial Distribution under Progressive Type-II Censoring11
A New Approach to Involution in Fuzzy C★-Algebra via Functional Inequality and Python Implementation11
Inertial Method for Solving Pseudomonotone Variational Inequality and Fixed Point Problems in Banach Spaces11
Pólya–Szegö Integral Inequalities Using the Caputo–Fabrizio Approach11
Self-Improving Properties of Continuous and Discrete Muckenhoupt Weights: A Unified Approach11
The Unified Description of Abstract Convexity Structures11
Application of the Euler–Lagrange Approach and Immersed Boundary Method to Investigate the Behavior of Rigid Particles in a Confined Flow11
Extended Genus Fields of Abelian Extensions of Rational Function Fields11
Theoretical Validation of New Two-Dimensional One-Variable-Power Copulas11
Inference for Partially Accelerated Life Test from a Bathtub-Shaped Lifetime Distribution with Progressive Censoring11
Neutrosophic Sub-Group over t-Norm and t-Co-Norm11
Sensitivity Analysis of a 2D Stochastic Agent-Based and PDE Diffusion Model for Cancer-on-Chip Experiments11
A Comprehensive Study of the Langevin Boundary Value Problems with Variable Order Fractional Derivatives11
An Improved Intuitionistic Fuzzy Decision-Theoretic Rough Set Model and Its Application11
Statistically Convergent Sequences in Intuitionistic Fuzzy Metric Spaces11
The Algebra of Signatures for Extreme Two-Uniform Hypergraphs11
A Time-Fractional Differential Inequality of Sobolev Type on an Annulus11
Z-Solitons and Gradient Z-Solitons on α-Cosymplectic Manifolds10
An Improvement of the Lower Bound on the Maximum Number of Halving Lines for Sets in the Plane with an Odd Number of Points10
Existence and Uniqueness of Variable-Order φ-Caputo Fractional Two-Point Nonlinear Boundary Value Problem in Banach Algebra10
Decision-Support System for Estimating Resource Consumption in Bridge Construction Based on Machine Learning10
Orthogonal Polynomials on Radial Rays in the Complex Plane: Construction, Properties and Applications10
Lie Derivations on Generalized Matrix Algebras by Local Actions10
An Emotionally Intuitive Fuzzy TODIM Methodology for Decision Making Based on Online Reviews: Insights from Movie Rankings10
Asymptotic Conformality and Polygonal Approximation10
0.5528199672699