OOIR: Observatory of International Research

Papers

(The TQCC of Advances in Mathematical Physics is 3. 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 2021-06-01 to 2025-06-01.)

Article	Citations
Modelling and Investigation of the Dynamic Behavior of a Penny-Shaped Interface Crack in Piezoelectric Bimaterials	38
Transient Response of Multiple Interface Cracks in Fine-Grained Coating Composite Structures under Impact Loading	28
Financial Futures Prediction Using Fuzzy Rough Set and Synthetic Minority Oversampling Technique	24
Retracted: A Cloud Computing-Based Intelligent Forecasting Method for Cross-Border E-Commerce Logistics Costs	21
Analyzing Soret and Dufour Effects on MHD Variable Viscosity Casson Nanofluid Flow Past a Stretching Sheet With Heat Source/Sink	20
Adaptive Recognition of Motion Posture in Sports Video Based on Evolution Equation	17
Different Dimension Synchronization of Bidirectionally Coupled Chaotic Systems With Unknown Time‐Varying Parameter Interference	16
Extraction of Human Motion Information from Digital Video Based on 3D Poisson Equation	15
A Discriminative Target Equation-Based Face Recognition Method for Teaching Attendance	14
Differential Quadrature Method to Examine the Dynamical Behavior of Soliton Solutions to the Korteweg-de Vries Equation	13
Sub-Lorentzian Geometry of Curves and Surfaces in a Lorentzian Lie Group	13
A Bayesian-Weighted Inverse Gaussian Regression Model with Application to Seismological Data	13
Mathematical Modeling and Simulation of Table Tennis Trajectory Based on Digital Video Image Processing	12
Analysis of Magnetohydrodynamic Micropolar Nanofluid Flow due to Radially Stretchable Rotating Disk Employing Spectral Method	11
Evolutoids of the Mixed-Type Curves	10
Lyapunov Stability of Planar Waves to the Reaction-Diffusion Equation with a Non-Lipschitzian Reaction Term	10
New Multilinear Variable Separation Solutions of the (3 + 1)-Dimensional Burgers Hierarchy	10
Fractional Soliton and Semirational Solutions of a Fractional Two-Component Generalized Hirota Equation	10
Some Conditions of Non-Blow-Up of Generalized Inviscid Surface Quasigeostrophic Equation	10
Existence, Nonexistence, and Stability of Solutions for a Delayed Plate Equation with the Logarithmic Source	9
Solving a Nonlinear Fredholm Integral Equation via an Orthogonal Metric	9
Computer Simulation of Water Flow Animation Based on Two-Dimensional Navier-Stokes Equations	9
Image Segmentation Techniques for Intelligent Monitoring of Putonghua Examinations	9
A Simple and Effective Second‐Order Numerical Algorithm for Tempered Fractional Differential Equation With Time Caputo‐Tempered Fractional Derivative	9
A Novel Efficient Approach for Solving Nonlinear Caputo Fractional Differential Equations	9

Numerical Treating of Mixed Integral Equation Two-Dimensional in Surface Cracks in Finite Layers of Materials	9
Multifeature Contrast Enhancement Algorithm for Digital Media Images Based on the Diffusion Equation	9
Growth Series of the Braid Monoid M	9
Optimal L <	8
Monotone Iterative Technique for a Kind of Nonlinear Fourth-Order Integro-Differential Equations and Its Application	8
A Study on Vague Graph Structures with an Application	8
Retracted: Use Python Data Analysis to Gain Insights from Airbnb Hosts	8
An Accurate Estimation of the Eigenfrequency of an Offshore Wind Turbine Considered as the Stepped Euler-Bernoulli Beam in Three-Spring Flexible Foundation Using the Power Series Method	8
Formula of Cylindrical Spring Stiffness for Nonlinear Large Deformation and Its FEM Verification	8
Application of Virtual Reality Technology and Unsupervised Video Object Segmentation Algorithm in 3D Model Modeling	8
A Novel Description of Some Concepts in Interval-Valued Intuitionistic Fuzzy Graph with an Application	8
Fractional-Order Adaptive P -Laplace Equation-Based Art Image Edge Detection	7
Human Movement Recognition in Dancesport Video Images Based on Chaotic System Equations	7
UV Index for Public Health Awareness Based on OMI/NASA Satellite Data at King Abdulaziz University, Saudi Arabia	7
Approximate Analytical Solution of the Influences of Magnetic Field and Chemical Reaction on Unsteady Convective Heat and Mass Transfer of Air, Water, and Electrolyte Fluids Subject to Newtonian Heati	7
A Study on the Statistical Properties of the Prime Numbers Using the Classical and Superstatistical Random Matrix Theories	7
Iterative Construction of Fixed Points for Operators Endowed with Condition	7
Mathematical Modeling for Ceramic Shape 3D Image Based on Deep Learning Algorithm	7
Fractional Operators Associated with the ք -Extended Mathieu Series by Using	7
Diverse Soliton Structures of the ( 2 + 1	7
Geometrical Classification of Self-Similar Motion of Two-Dimensional Three Point Vortex System by Deviation Curvature on Jacobi Field	7
Jewelry Packaging User Demand Analysis Based on Fuzzy Kano Model	7
The Cross-Postgraduate Training Mode Driven by Intelligent Signal Processing Technology: Taking the Major of Finance as an Example	6
On the Characterization of Antineutrosophic Subgroup	6
Partial Differential Equations-Based Iterative Denoising Algorithm for Movie Images	6
Solitary and Rogue Wave Solutions to the Conformable Time Fractional Modified Kawahara Equation in Mathematical Physics	6
A New Fundamental Asymmetric Wave Equation and Its Application to Acoustic Wave Propagation	6
Single Reflect-Mirror Laser Communication Tracking-Pointing System Load Technology for Micronanosatellite	6
The Separation Properties of Binary Topological Spaces	6
Commodity Price Recognition and Simulation of Image Recognition Technology Based on the Nonlinear Dimensionality Reduction Method	6
On Effects of a New Method for Fractional Initial Value Problems	6
Wave Breaking and Global Existence for the Generalized Periodic Camassa-Holm Equation with the Weak Dissipation	6
Simulating New CKO as a Model of Seismic Sea Waves via Unified Solver	6
Double Sumudu Transform Iterative Method for One-Dimensional Nonlinear Coupled Sine-Gordon Equation	6
High-Order Spectral Method of Density Estimation for Stochastic Differential Equation Driven by Multivariate Gaussian Random Variables	6
Approximate Analytical Solution to Nonlinear Delay Differential Equations by Using Sumudu Iterative Method	5
Hidden Markov Model-Based Video Recognition for Sports	5
Coupled Fixed Point Theorem for the Generalized Langevin Equation with Four-Point and Strip Conditions	5
Quantization of the Super-BMS3 Algebra	5
Research on Customer Requirement-Driven Individualized Product Module Division and Configuration Based on Community Structure	5
Command Filter AILC for Finite Time Accurate Tracking of Aircraft Track Angle System Based on Fuzzy Logic	5
Crank–Nicolson Method for Singularly Perturbed Unsteady Parabolic Problem With Multiple Boundary Turning Points	5
Feature Extraction of Music Signal Based on Adaptive Wave Equation Inversion	5
Dynamic Behaviors and Analytical Solutions of the Damped (2+1)‐Dimensional Nonlinear Schrödinger Equation	5
An Analytical and a Numerical Method for Nonlinear Convection-Radiation Problems in Porous Fins	5
Novel Particular Solutions, Breathers, and Rogue Waves for an Integrable Nonlocal Derivative Nonlinear Schrödinger Equation	5
Statistical Inference of Stress-Strength Reliability of Gompertz Distribution under Type II Censoring	5
Lattice Boltzmann Method for the Generalized Black-Scholes Equation	5
Some New Inequalities Using Nonintegral Notion of Variables	5
Breather Wave and Traveling Wave Solutions for A (2 + 1)-Dimensional KdV4 Equation	5

Effect of Classical and Quantum Superposition of Atomic States on Quantum Correlations	5
Triple Diffusive Convection in a Fluid Layer Under an A.C Electric Field	4
Analysis of Reciprocal Thermal Conductivity on Free Convection Flow along a Wavy Vertical Surface	4
A New Type-3 Fuzzy PID for Energy Management in Microgrids	4
Remarks on the Systems of Semilinear Fractional Rayleigh-Stokes Equation	4
Modulation Instability, Analytical, and Numerical Studies for Integrable Time Fractional Nonlinear Model through Two Explicit Methods	4
A Finite Difference Method for Solving Unsteady Fractional Oldroyd-B Viscoelastic Flow Based on Caputo Derivative	4
Numerical Investigation of Ternary Hybrid Non‐Newtonian Nanofluids and Heat Transport Over an Inclined Shrinking Sheet Utilizing Artificial Neural Network	4
Green’s Functions on Various Time Scales for the Time-Fractional Reaction-Diffusion Equation	4
Approximate Analytical Study of Time-Dependent MHD Casson Hybrid Nanofluid over a Stretching Sheet and Considering Thermal Radiation	4
Variationally Improved Bézier Surfaces with Shifted Knots	4
On Compact Trans-Sasakian Manifolds	4
Fast Decomposition Algorithm Based on Two-Dimensional Wavelet Transform for Image Processing of Graphic Design	4
A Method of Constructing Superpotentials by Combining Two Functions Based on Shape Invariance	4
Predicting Screening Efficiency of Probability Screens Using KPCA‐GRNN with WP‐EE Feature Reconstruction	4
A Massive Image Recognition Algorithm Based on Attribute Modelling and Knowledge Acquisition	4
Existence of Traveling Wave Fronts for a Generalized Nonlinear Schrodinger Equation	4
Optimized Efficiency at Two Optimum Operations of a Stochastically Driven Quantum Dot Heat Engine	4
Retracted: The Statistical Analysis of Multidimensional Psychological Characteristics and User Feedback Willingness	4
Human Position Detection Based on Depth Camera Image Information in Mechanical Safety	4
Dynamical Analysis of Nonlocalized Wave Solutions of	4
A Numerical Algorithm Applied to Free Convection Flows of the Casson Fluid along with Heat and Mass Transfer Described by the Caputo Derivative	4
Retracted: Study on Announcement Effect of Stock Repurchase from the Perspective of Configuration Analysis	4
MHD Williamson Nanofluid Flow over a Stretching Sheet through a Porous Medium under Effects of Joule Heating, Nonlinear Thermal Radiation, Heat Generation/Absorption, and Chemical Reaction	4
Collisional Solitons Described by Two-Sided Beta Time Fractional Korteweg-de Vries Equations in Fluid-Filled Elastic Tubes	4
Application of Partial Differential Equation Image Classification Methods to the Aesthetic Evaluation of Images	4
Using Image Feature Extraction to Identification of Ancient Ceramics Based on Partial Differential Equation	4
Analysis of Two-Dimensional Heat Transfer Problem Using the Boundary Integral Equation	4
New Exact Solutions, Dynamical and Chaotic Behaviors for the Fourth-Order Nonlinear Generalized Boussinesq Water Wave Equation	4
Denoising of Tourist Street Scene Image Based on ROF Model of Second-Order Partial Differential Equation	4
Exact Solutions of the Nonlinear Space-Time Fractional Partial Differential Symmetric Regularized Long Wave (SRLW) Equation by Employing Two Methods	3
Two-Dimensional Fredholm Integro-Differential Equation with Singular Kernel and Its Numerical Solutions	3
Analysis and Prediction of the Dynamic Antiplane Characteristics of an Elastic Wedge-Shaped Quarter-Space Containing a Circular Hole	3
Noether Symmetry Method for Hamiltonian Mechanics Involving Generalized Operators	3
Constructing Attention‐LSTM‐VAE Power Load Model Based on Multiple Features	3
Natural Transform along with HPM Technique for Solving Fractional ADE	3
Fourier Spectral Method for a Class of Nonlinear Schrödinger Models	3
Correlation Filtering Algorithm of Infrared Spectral Data for Dim Target Tracking	3
Application of Image Denoising Method Based on Two-Way Coupling Diffusion Equation in Public Security Forensics	3
Stability and Finite-Time Synchronization Analysis for Recurrent Neural Networks with Improved Integral-Type Time-Varying Delays	3
Application of Image Recognition Method Based on Diffusion Equation in Film and Television Production	3
Dynamical Property of the Shift Map under Group Action	3
New Traveling Wave Solutions and Interesting Bifurcation Phenomena of Generalized KdV-mKdV-Like Equation	3
	3
Algebro-Geometric Solutions of a ( 2 + 1	3
Classification of Nilpotent Lie Superalgebras of Multiplier-Rank Less than or Equal to 6	3
FSE‐RBFNN‐Based AILC of Finite Time Complete Tracking for a Class of Time‐Varying NPNL Systems with Initial State Errors	3
Fuzzy Meir-Keeler’s Contraction and Characterization	3
Exploring Solution Strategies for Volterra Integro‐Differential Lane–Emden Equations in Astrophysics Using Haar Scale 3 Wavelets	3
Pullback Attractors for Nonautonomous Degenerate Kirchhoff Equations with Strong Damping	3
Analysis of Fractional Differential Equations with the Help of Different Operators	3
Sharp Threshold of Global Existence and Mass Concentration for the Schrödinger–Hartree Equation with Anisotropic Harmonic Confinement	3
Stationary Solutions to the Three-Dimensional Compressible Nonisothermal Nematic Liquid Crystal Flows	3
Different Wave Structures for the (2+1)-Dimensional Korteweg-de Vries Equation	3
A Fixed Point Technique for Set-Valued Contractions with Supportive Applications	3
Regularity for a Nonlinear Discontinuous Subelliptic System with Drift on the Heisenberg Group	3
The Statistical Analysis of Multidimensional Psychological Characteristics and User Feedback Willingness	3
Anti-Interference Heartbeat Measurement Based on a Miniaturized Doppler Radar Sensor	3
Application of Image Segmentation Algorithm Based on Partial Differential Equation in Legal Case Text Classification	3
Radar Target Detection with K‐Nearest Neighbor Manifold Filter on Riemannian Manifold	3
Dimension Reduction Big Data Using Recognition of Data Features Based on Copula Function and Principal Component Analysis	3
Computational Fluid Dynamics for Cavity Natural Heat Convection: Numerical Analysis and Optimization in Greenhouse Application	3
Some New Aspects of Metric Fixed Point Theory	3
Central Extensions and Nijenhuis Operators of Hom- δ -Jordan Lie Triple System	3