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 2021-04-01 to 2025-04-01.)

Article	Citations
On a Multistable Type of Free Boundary Problem with a Flux at the Boundary	38
Variationally Improved Bézier Surfaces with Shifted Knots	27
Sequential Extended $S$ -Metric Spaces and Relevant Fixed Point Results with Application	20
New Optical Soliton Solutions to the Fractional Hyperbolic Nonlinear Schrödinger Equation	19
Construction and Application of Video Big Data Analysis Platform for Smart City Development	19
A Three-Dimensional Anisotropic Diffusion Equation-Based Video Recognition Model for Classroom Concentration Evaluation in English Language Teaching	17
The Study of Cross-Border Trade with Third-Party Payment Institutions in China	16
Dynamic Thermal Response of Multiple Parallel Cracks in a Half Plane under General Transient Thermal Loading	16
On Fractional Diffusion Equation with Caputo-Fabrizio Derivative and Memory Term	13
$A B$	13
Differential Quadrature Method to Examine the Dynamical Behavior of Soliton Solutions to the Korteweg-de Vries Equation	12
Corrected Inertial Torques of Gyroscopic Effects	12
Embedded Image and Video Coding Algorithm Based on Adaptive Filtering Equation	12
Extraction of Human Motion Information from Digital Video Based on 3D Poisson Equation	11
Retracted: A Cloud Computing-Based Intelligent Forecasting Method for Cross-Border E-Commerce Logistics Costs	11
The Mathematical Model for the Tippe Top Inversion	11
Retracted: ECG Signal Detection and Classification of Heart Rhythm Diseases Based on ResNet and LSTM	11
Denoising of Tourist Street Scene Image Based on ROF Model of Second-Order Partial Differential Equation	10
A Discriminative Target Equation-Based Face Recognition Method for Teaching Attendance	10
Some Exact Solutions to Generalized Kadomtsev-Petviashvili Equation	10
The Exact Solutions of the Conformable Time-Fractional Modified Nonlinear Schrödinger Equation by the Trial Equation Method and Modified Trial Equation Method	10
Sub-Lorentzian Geometry of Curves and Surfaces in a Lorentzian Lie Group	9
A Bayesian-Weighted Inverse Gaussian Regression Model with Application to Seismological Data	9
A Solution of the Complex Fuzzy Heat Equation in Terms of Complex Dirichlet Conditions Using a Modified Crank–Nicolson Method	9
Regarding on the Results for the Fractional Clannish Random Walker’s Parabolic Equation and the Nonlinear Fractional Cahn-Allen Equation	9

Exact Solutions of the Generalized ZK and Gardner Equations by Extended Generalized $(G)$	8
Analysis of Reciprocal Thermal Conductivity on Free Convection Flow along a Wavy Vertical Surface	8
A Novel Collocation Method for Numerical Solution of Hypersingular Integral Equation with Singular Right-Hand Function	8
Adaptive Fuzzy Control of Sludge Conditioning and Pressing	8
Life Prediction Method of Remanufactured Machinery Equipment Based on Vibration Signal Feature Extraction	8
Analysis of Magnetohydrodynamic Micropolar Nanofluid Flow due to Radially Stretchable Rotating Disk Employing Spectral Method	8
Identification of Psychological Crisis Signals of College Students Based on the Dufferin Equation	7
GIS-Based Remote Sensing Image Information Analysis of the South Atlantic Ecological Environment and Diversity of Deep-Sea Microorganism with Antifungal Effects	7
Some New Characterizations of Real Hypersurfaces with Isometric Reeb Flow in Complex Two-Plane Grassmannians	7
Dynamic Analysis and Optimal Control of Rumor Propagation Model with Reporting Effect	7
The Generalized Hermite Spectral Method Combined with Laplace Transform for Solution of the Time Fractional Fokker–Planck Equation	7
A New Stress Field Model for Semiclosed Crack under Compression considering the Influence of T	7
Human Position Detection Based on Depth Camera Image Information in Mechanical Safety	7
An Improved Version of Residual Power Series Method for Space-Time Fractional Problems	7
Triple Diffusive Convection in a Fluid Layer Under an A.C Electric Field	7
Financial Futures Prediction Using Fuzzy Rough Set and Synthetic Minority Oversampling Technique	7
Zero and Nonzero Mass Flux Effects of Bioconvective Viscoelastic Nanofluid over a 3D Riga Surface with the Swimming of Gyrotactic Microorganisms	7
Modelling and Investigation of the Dynamic Behavior of a Penny-Shaped Interface Crack in Piezoelectric Bimaterials	6
Command Filter AILC for Finite Time Accurate Tracking of Aircraft Track Angle System Based on Fuzzy Logic	6
The Galerkin Method for Fourth-Order Equation of the Moore–Gibson–Thompson Type with Integral Condition	6
A Stochastic Holling-Type II Predator-Prey Model with Stage Structure and Refuge for Prey	6
On Bernstein’s Problem of Complete Parabolic Hypersurfaces in Warped Products	6
Transient Response of Multiple Interface Cracks in Fine-Grained Coating Composite Structures under Impact Loading	6
Effect of Classical and Quantum Superposition of Atomic States on Quantum Correlations	6
Paracontact Metric κ	6
Inequalities for the Class of Warped Product Submanifold of Para-Cosymplectic Manifolds	6
Double-Periodic Soliton Solutions of the (2+1)-Dimensional Ito Equation	6
An Approximation Method for Variational Inequality with Uncertain Variables	6
The Modified Exponential Function Method for Beta Time Fractional Biswas-Arshed Equation	6
Time-Scale Version of Generalized Birkhoffian Mechanics and Its Symmetries and Conserved Quantities of Noether Type	6
Mathematical Modeling and Simulation of Table Tennis Trajectory Based on Digital Video Image Processing	5
Breather Wave and Traveling Wave Solutions for A (2 + 1)-Dimensional KdV4 Equation	5
A General Inequality for CR-Warped Products in Generalized Sasakian Space Form and Its Applications	5
Novel Particular Solutions, Breathers, and Rogue Waves for an Integrable Nonlocal Derivative Nonlinear Schrödinger Equation	5
New Exact Solutions, Dynamical and Chaotic Behaviors for the Fourth-Order Nonlinear Generalized Boussinesq Water Wave Equation	5
Conformally Flat Pseudoprojective Symmetric Spacetimes infR,	5
Rigidity of Complete Gradient Shrinkers with Pointwise Pinching Riemannian Curvature	5
Construction of 2-Peakon Solutions and Nonuniqueness for a Generalized mCH Equation	5
Further Results about Seeking for the Exact Solutions of the Nonlinear	5
Adaptive Recognition of Motion Posture in Sports Video Based on Evolution Equation	5
∗-Ricci Tensor onα-Cosymplectic Ma	5
On Compact Trans-Sasakian Manifolds	5
Rational Wave Solutions and Dynamics Properties of the Generalized ( 2 +	4
Interval Oscillation Theorems for the Weighted p -Sub-Laplacian Equation in t	4
Research on Customer Requirement-Driven Individualized Product Module Division and Configuration Based on Community Structure	4
Numerical Solutions of Duffing Van der Pol Equations on the Basis of Hybrid Functions	4
Image Retrieval Model Analysis of Digital Library Based on Texture Characteristics	4
A New Bivariate Extended Generalized Inverted Kumaraswamy Weibull Distribution	4
Classification of All Single Traveling Wave Solutions of Fractional Coupled Boussinesq Equations via the Complete Discrimination System Method	4
Dynamic Analysis of a VSEIR Model with Vaccination Efficacy and Immune Decline	4

The Degree-Based Topological Indices for Two Special Families of Graphs of Diameter Three	4
Evolutoids of the Mixed-Type Curves	4
Image Texture Analysis and Edge Detection Algorithm Based on Anisotropic Diffusion Equation	4
Finite-Time Synchronization of Fractional-Order Complex-Valued Cohen-Grossberg Neural Networks with Mixed Time Delays and State-Dependent Switching	4
Numerical Method to Modify the Fractional-Order Diffusion Equation	4
A New Methodology for Solving Piecewise Quadratic Fuzzy Cooperative Continuous Static Games	4
Study of Magnetohydrodynamic Pulsatile Blood Flow through an Inclined Porous Cylindrical Tube with Generalized Time-Nonlocal Shear Stress	4
Existence for Time-Fractional Semilinear Diffusion Equation on the Sphere	4
Stability of Set Differential Equations in Fréchet Spaces	4
Full Finite Element Scheme for Reaction-Diffusion Systems on Embedded Curved Surfaces in $<$	4
The Integrability of a New Fractional Soliton Hierarchy and Its Application	4
An Analytical and a Numerical Method for Nonlinear Convection-Radiation Problems in Porous Fins	4
Reliability Estimation of Inverse Lomax Distribution Using Extreme Ranked Set Sampling	4
Dynamical Analysis of Nonlocalized Wave Solutions of	4
A Parametric Analysis of the Effect of Hybrid Nanoparticles on the Flow Field and Homogeneous-Heterogeneous Reaction between Squeezing Plates	4
Analytical Solution of Two-Dimensional Sine-Gordon Equation	4
Solutions of Nonlinear Integro-Partial Differential Equations by the Method of $()$	4
Existence of Global Solution and Traveling Wave of the Modified Short-Wave Equation	4
Global Well-Posedness and Analyticity for the Three-Dimensional Incompressible Nematic Liquid Crystal Flows in Scaling Invariant Spaces	4
A Study of Doubly Warped Product Immersions in a Nearly Trans-Sasakian Manifold with Slant Factor	4
Exact Solution of ( 4 + 1	4
Quadruple Best Proximity Points with Applications to Functional and Integral Equations	4
Lyapunov Stability of Planar Waves to the Reaction-Diffusion Equation with a Non-Lipschitzian Reaction Term	4
Approximate Analytical Study of Time-Dependent MHD Casson Hybrid Nanofluid over a Stretching Sheet and Considering Thermal Radiation	4
The Propagation of Thermoelastic Waves in Different Anisotropic Media Using Matricant Method	4
Numerical Investigation of Ternary Hybrid Non‐Newtonian Nanofluids and Heat Transport Over an Inclined Shrinking Sheet Utilizing Artificial Neural Network	3
Solving the Nonlinear Charged Particle Oscillation Equation Using the Laplace–Adomian Decomposition Method	3
Multifeature Contrast Enhancement Algorithm for Digital Media Images Based on the Diffusion Equation	3
Analysis of Two-Dimensional Heat Transfer Problem Using the Boundary Integral Equation	3
Dynamic Characteristics of Four Systems of Difference Equations with Higher Order	3
High-Capacity Real-Time Face Retrieval Recognition Algorithm Based on Task Scheduling Model for the Treatment Area of Hospital	3
Computer Simulation of Water Flow Animation Based on Two-Dimensional Navier-Stokes Equations	3
Solving a Nonlinear Fredholm Integral Equation via an Orthogonal Metric	3
Aspects of Non-unique Solutions for Hiemenz Flow Filled with Ternary Hybrid Nanofluid over a Stretching/Shrinking Sheet	3
New Multilinear Variable Separation Solutions of the (3 + 1)-Dimensional Burgers Hierarchy	3
Abundant Exact Soliton Solutions of the (2+1)-Dimensional Heisenberg Ferromagnetic Spin Cha	3
Application of Müntz Orthogonal Functions on the Solution of the Fractional Bagley–Torvik Equation Using Collocation Method with Error Stimate	3
Growth Series of the Braid Monoid $M$	3
Fast Decomposition Algorithm Based on Two-Dimensional Wavelet Transform for Image Processing of Graphic Design	3
Application of Image Recognition Algorithm Based on Partial Differential Equation and Wavelet Transform in the Intelligent Linkage System of Government Urban Public Management	3
Pulse Dynamics in a Bistable Reaction-Diffusion System with Chemotaxis	3
Simultaneous Flow of n-Immiscible Fractional Maxwell Fluids with Generalized Thermal Flux and Robin Boundary Conditions	3
A New Construction of Holditch Theorem for Homothetic Motions in	3
Inertial Forces and Torques Acting on a Spinning Annulus	3
Two Numerical Methods for Solving the Schrödinger Parabolic and Pseudoparabolic Partial Differential Equations	3
Modified Homotopy Perturbation Method and Approximate Solutions to a Class of Local Fractional Integrodifferential Equations	3
A Novel Efficient Approach for Solving Nonlinear Caputo Fractional Differential Equations	3
Semisupervised Association Learning Based on Partial Differential Equations for Sparse Representation of Image Class Attributes	3
Remark on Regularity Criterion for Weak Solutions to 3D Shear Thinning Fluids	3
Invariant Solutions and Conservation Laws of the Time-Fractional Telegraph Equation	3
Advances in Information Entropy	3
Convolution Representation of Traveling Pulses in Reaction-Diffusion Systems	3
Asymmetric Bidirectional Controlled Quantum Teleportation of Three- and Four-Qubit States	3
Some Conditions of Non-Blow-Up of Generalized Inviscid Surface Quasigeostrophic Equation	3
Real-Time Analysis of Athletes’ Physical Condition in Training Based on Video Monitoring Technology of Optical Flow Equation	3
On Some New Common Fixed Point Results for Finite Number of Mappings in Fuzzy Metric Spaces	3
Fractional Soliton and Semirational Solutions of a Fractional Two-Component Generalized Hirota Equation	3
Green’s Functions on Various Time Scales for the Time-Fractional Reaction-Diffusion Equation	3