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 2020-11-01 to 2024-11-01.)

Article	Citations
Novel Numerical Scheme for Singularly Perturbed Time Delay Convection-Diffusion Equation	31
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	29
A General Inequality for CR-Warped Products in Generalized Sasakian Space Form and Its Applications	27
The Exact Solutions of the Conformable Time-Fractional Modified Nonlinear Schrödinger Equation by the Trial Equation Method and Modified Trial Equation Method	19
Solitary and Rogue Wave Solutions to the Conformable Time Fractional Modified Kawahara Equation in Mathematical Physics	18
The Analytical Solutions of the Stochastic Fractional RKL Equation via Jacobi Elliptic Function Method	18
Existence Results for a Nonlocal Coupled System of Sequential Fractional Differential Equations Involving $ψ$	17
Zero and Nonzero Mass Flux Effects of Bioconvective Viscoelastic Nanofluid over a 3D Riga Surface with the Swimming of Gyrotactic Microorganisms	16
Line Soliton Interactions for Shallow Ocean Waves and Novel Solutions with Peakon, Ring, Conical, Columnar, and Lump Structures Based on Fractional KP Equation	14
Analytical Solution of Two-Dimensional Sine-Gordon Equation	12
Abundant Soliton Structures to the ( $2 + 1$	12
Regarding New Traveling Wave Solutions for the Mathematical Model Arising in Telecommunications	11
Study of Magnetohydrodynamic Pulsatile Blood Flow through an Inclined Porous Cylindrical Tube with Generalized Time-Nonlocal Shear Stress	11
Application of Gabor Image Recognition Technology in Intelligent Clothing Design	11
Coupled Fixed Point Theorem for the Generalized Langevin Equation with Four-Point and Strip Conditions	10
A Parametric Analysis of the Effect of Hybrid Nanoparticles on the Flow Field and Homogeneous-Heterogeneous Reaction between Squeezing Plates	10
A Semianalytical Approach to the Solution of Time-Fractional Navier-Stokes Equation	10
Analytical Method for Solving the Fractional Order Generalized KdV Equation by a Beta-Fractional Derivative	10
Solution of Space-Time-Fractional Problem by Shehu Variational Iteration Method	10
Existence Results for $ψ$ -Hilfer Fractional Integro-Differential Hybrid Boundary Value P	9
Physics Informed by Deep Learning: Numerical Solutions of Modified Korteweg-de Vries Equation	9
Adaptive Recognition of Motion Posture in Sports Video Based on Evolution Equation	9
Exact Solutions of the Nonlinear Space-Time Fractional Partial Differential Symmetric Regularized Long Wave (SRLW) Equation by Employing Two Methods	9
Numerical and Analytical Investigation for Darcy-Forchheimer Flow of a Williamson Fluid over a Riga Plate with Double Stratification and Cattaneo-Christov Dual Flux	8
White Noise Functional Solutions for Wick-Type Stochastic Fractional Mixed KdV-mKdV Equation Using Extended $()$	8

New Results of Some of the Conformable Models Arising in Dynamical Systems	8
Optical Wave Phenomena in Birefringent Fibers Described by Space-Time Fractional Cubic-Quartic Nonlinear Schrödinger Equation with the Sense of Beta and Conformable Derivative	8
Double Sumudu Transform Iterative Method for One-Dimensional Nonlinear Coupled Sine-Gordon Equation	8
New Exact Solutions of Kolmogorov Petrovskii Piskunov Equation, Fitzhugh Nagumo Equation, and Newell-Whitehead Equation	8
An Extended $b$ -Metric-Type Space and Related Fixed Point Theorems with an Application t	8
Collisional Solitons Described by Two-Sided Beta Time Fractional Korteweg-de Vries Equations in Fluid-Filled Elastic Tubes	8
Fuzzy Fixed Point Results of Fuzzy Mappings on $b$ -Metric Spaces via $7$
A New Type-3 Fuzzy PID for Energy Management in Microgrids	7
Mathematical Modeling and Simulation of Table Tennis Trajectory Based on Digital Video Image Processing	7
ECG Signal Detection and Classification of Heart Rhythm Diseases Based on ResNet and LSTM	7
Analytical Treatment of the Generalized Hirota-Satsuma-Ito Equation Arising in Shallow Water Wave	7
Existence, Nonexistence, and Stability of Solutions for a Delayed Plate Equation with the Logarithmic Source	7
Corrected Inertial Torques of Gyroscopic Effects	7
Noninteger Derivative Order Analysis on Plane Wave Reflection from Electro-Magneto-Thermo-Microstretch Medium with a Gravity Field within the Three-Phase Lag Model	7
Mathematical Modeling for Ceramic Shape 3D Image Based on Deep Learning Algorithm	7
Analysis of Magnetohydrodynamic Micropolar Nanofluid Flow due to Radially Stretchable Rotating Disk Employing Spectral Method	7
Human Movement Recognition in Dancesport Video Images Based on Chaotic System Equations	6
Numerical Treating of Mixed Integral Equation Two-Dimensional in Surface Cracks in Finite Layers of Materials	6
Two New Modifications of the Exp-Function Method for Solving the Fractional-Order Hirota-Satsuma Coupled KdV	6
Fixed-Point Results for Generalized $α$ -Admissible Hardy-Rogers’ Contractions in Cone	6
Existence Results for a Class of Coupled Hilfer Fractional Pantograph Differential Equations with Nonlocal Integral Boundary Value Conditions	6
Computational Simulations; Abundant Optical Wave Solutions Atangana Conformable Fractional Nonlinear Schrödinger Equation	6
Initial Value Problems with Generalized Fractional Derivatives and Their Solutions via Generalized Laplace Decomposition Method	6
Using Image Feature Extraction to Identification of Ancient Ceramics Based on Partial Differential Equation	6
Optimization of an Intelligent Sorting and Recycling System for Solid Waste Based on Image Recognition Technology	6
Natural Transform along with HPM Technique for Solving Fractional ADE	6
Geometrical Classification of Self-Similar Motion of Two-Dimensional Three Point Vortex System by Deviation Curvature on Jacobi Field	6
Stability of Perturbed Set Differential Equations Involving Causal Operators in Regard to Their Unperturbed Ones considering Difference in Initial Conditions	6
Certain Concepts of Interval-Valued Intuitionistic Fuzzy Graphs with an Application	6
A Novel Description of Some Concepts in Interval-Valued Intuitionistic Fuzzy Graph with an Application	6
Analytical Solutions of the Fractional Complex Ginzburg-Landau Model Using Generalized Exponential Rational Function Method with Two Different Nonlinearities	6
An Efficient Explicit Decoupled Group Method for Solving Two–Dimensional Fractional Burgers’ Equation and Its Convergence Analysis	6
Corrigendum to “Generalization Contractive Mappings on Rectangular b-Metric Space”	5
A Well-Behaved Anisotropic Strange Star Model	5
Study of Dust-Acoustic Multisoliton Interactions in Strongly Coupled Dusty Plasmas	5
The Modified Exponential Function Method for Beta Time Fractional Biswas-Arshed Equation	5
Soliton Molecules and Full Symmetry Groups to the KdV-Sawada-Kotera-Ramani Equation	5
Signal Recognition for English Speech Translation Based on Improved Wavelet Denoising Method	5
New Optical Solitons in Bragg Grating Fibers for the Nonlinear Coupled ( $2 +$	5
A New Result for a Blow-up of Solutions to a Logarithmic Flexible Structure with Second Sound	5
Human Position Detection Based on Depth Camera Image Information in Mechanical Safety	5
Imperfect Fluid Generalized Robertson Walker Spacetime Admitting Ricci-Yamabe Metric	5
New Traveling Wave Solutions and Interesting Bifurcation Phenomena of Generalized KdV-mKdV-Like Equation	5
Various Soliton Solutions and Asymptotic State Analysis for the Discrete Modified Korteweg-de Vries Equation	5
Multifeature Contrast Enhancement Algorithm for Digital Media Images Based on the Diffusion Equation	5
Reliability Estimation of Inverse Lomax Distribution Using Extreme Ranked Set Sampling	4
Extinction Phenomenon and Decay Estimate for a Quasilinear Parabolic Equation with a Nonlinear Source	4
On Existence of Multiplicity of Weak Solutions for a New Class of Nonlinear Fractional Boundary Value Systems via Variational Approach	4
Approximate Analytical Study of Time-Dependent MHD Casson Hybrid Nanofluid over a Stretching Sheet and Considering Thermal Radiation	4
Further Results about Seeking for the Exact Solutions of the Nonlinear $()$	4

A Three-Dimensional Anisotropic Diffusion Equation-Based Video Recognition Model for Classroom Concentration Evaluation in English Language Teaching	4
Image Edge Detection Algorithm Based on Fuzzy Radial Basis Neural Network	4
Single and Multivalued Maps on Parametric Metric Spaces Endowed with an Equivalence Relation	4
A Numerical and Analytical Study of a Stochastic Epidemic SIR Model in the Light of White Noise	4
A Study on Vague Graph Structures with an Application	4
Interaction of Two-Level Atom with Squeezed Vacuum Reservoir	4
A Riemann-Hilbert Approach to the Multicomponent Kaup-Newell Equation	4
Analytical Solutions to Two-Dimensional Nonlinear Telegraph Equations Using the Conformable Triple Laplace Transform Iterative Method	4
Beta Operator with Caputo Marichev-Saigo-Maeda Fractional Differential Operator of Extended Mittag-Leffler Function	4
Time-Dependent Magnetohydrodynamic (MHD) Flow of an Exothermic Arrhenius Fluid in a Vertical Channel with Convective Boundary Condition	4
Solving a Nonlinear Fredholm Integral Equation via an Orthogonal Metric	4
An Analytical and a Numerical Method for Nonlinear Convection-Radiation Problems in Porous Fins	4
Regarding on the Results for the Fractional Clannish Random Walker’s Parabolic Equation and the Nonlinear Fractional Cahn-Allen Equation	4
Image Enhancement of Cross-Border E-Commerce Logistics Video Surveillance Based on Partial Differential Equations	4
Partial Differential Equations-Based Iterative Denoising Algorithm for Movie Images	4
Numerical Steepest Descent Method for Hankel Type of Hypersingular Oscillatory Integrals in Electromagnetic Scattering Problems	4
A Tripled Fixed Point Theorem in $C$	4
Application of Image Recognition Method Based on Diffusion Equation in Film and Television Production	4
A New Bivariate Extended Generalized Inverted Kumaraswamy Weibull Distribution	4
Analytic Treatment for Electrical MHD Non-Newtonian Fluid Flow over a Stretching Sheet through a Porous Medium	4
New Exact Traveling Wave Solutions of the Time Fractional Complex Ginzburg-Landau Equation via the Conformable Fractional Derivative	4
The Modulation Instability Analysis and Analytical Solutions of the Nonlinear Gross−Pitaevskii Model with Conformable Operator and Riemann Wave Equations via Recently Developed Scheme	4
Classification of All Single Traveling Wave Solutions of Fractional Coupled Boussinesq Equations via the Complete Discrimination System Method	4
An Improved Version of Residual Power Series Method for Space-Time Fractional Problems	4
Fixed-Point Theorem for Nonlinear $F$ -Contraction via $4$
Some New Inequalities Using Nonintegral Notion of Variables	4
Periodic, Cross-Kink, and Interaction between Stripe and Periodic Wave Solutions for Generalized Hietarinta Equation: Prospects for Applications in Environmental Engineering	4
Residual Symmetry, Bäcklund Transformation, and Soliton Solutions of the Higher-Order Broer-Kaup System	4
Evaluation and Analysis of Land Input-Output Comprehensive Benefit Based on Fuzzy Mathematics and Analytic Hierarchy Process	4
Dimension Reduction Big Data Using Recognition of Data Features Based on Copula Function and Principal Component Analysis	4
Exact Solution of ( $4 + 1$ )-	3
Application of Third-Order Schemes to Improve the Convergence of the Hardy Cross Method in Pipe Network Analysis	3
Rational Wave Solutions and Dynamics Properties of the Generalized ( $2 +$	3
Classification of All Single Traveling Wave Solutions of ( $3 +$	3
A Numerical Algorithm Applied to Free Convection Flows of the Casson Fluid along with Heat and Mass Transfer Described by the Caputo Derivative	3
Levi-Civita Ricci-Flat Doubly Warped Product Hermitian Manifolds	3
$*$ -Ricci Tensor on $α$ -Cosymplectic Manifolds	3
Mean Deviation Coupling Control for Multimotor System via Global Fast Terminal Sliding Mode Control	3
Exact Solutions of the Generalized ZK and Gardner Equations by Extended Generalized $(G)$	3
Implicit Finite Difference Simulation of Hybrid Nanofluid along a Vertical Thin Cylinder with Sinusoidal Wall Heat Flux under the Effects of Magnetic Field	3
Solutions of Nonlinear Integro-Partial Differential Equations by the Method of $()$	3
Ion Acoustic Solitary Wave Solutions to mKdV-ZK Model in Homogeneous Magnetized Plasma	3
Lie Symmetry Analysis of $C$	3
Some New Aspects of Metric Fixed Point Theory	3
Three-Dimensional Diffusion Model in Sports Dance Video Human Skeleton Detection and Extraction	3
Enhanced Squeezing and Entanglement in Nondegenerate Three-Level Laser Coupled to Squeezed Vacuum Reservoir	3
Analysis and Recognition Method of Internet Image Public Opinion Based on Partial Differential Equation	3
Numerical Approximation of Generalized Burger’s-Fisher and Generalized Burger’s-Huxley Equation by Compact Finite Difference Method	3
Optimized Efficiency at Two Optimum Operations of a Stochastically Driven Quantum Dot Heat Engine	3
Geometric Mechanics on Warped Product Semi-Slant Submanifold of Generalized Complex Space Forms	3
Exact Analytical Solutions of Nonlinear Fractional Liouville Equation by Extended Complex Method	3
Numerical Study of the Inverse Problem of Generalized Burgers–Fisher and Generalized Burgers–Huxley Equations	3
A Stochastic Holling-Type II Predator-Prey Model with Stage Structure and Refuge for Prey	3
On $J$ -Cone Metric Spaces over a Banach Algebra and Some Fixed-Point Theorems	3
A Solution of the Complex Fuzzy Heat Equation in Terms of Complex Dirichlet Conditions Using a Modified Crank–Nicolson Method	3
Multiperson Target Dynamic Tracking Method for Athlete Training Based on Wireless Body Area Network	3
$A B$	3
Solitary Wave Solutions to the Multidimensional Landau–Lifshitz Equation	3
Dynamical Behavior and the Classification of Single Traveling Wave Solutions for the Coupled Nonlinear Schrödinger Equations with Variable Coefficients	3
UV Index for Public Health Awareness Based on OMI/NASA Satellite Data at King Abdulaziz University, Saudi Arabia	3
Image Processing Method Based on Chaotic Encryption and Wavelet Transform for Planar Design	3
Application of a Large-Parameter Technique for Solving a Singular Case of a Rigid Body	3
Analytical Solution of One-Dimensional Nonlinear Conformable Fractional Telegraph Equation by Reduced Differential Transform Method	3
The Stochastic Resonance Phenomenon of Different Noises in Underdamped Bistable System	3
Interaction Solutions of the (2+1)-Dimensional Sawada-Kotera Equation	3
Application of EEG Signal Recognition Method Based on Duffing Equation in Psychological Stress Analysis	3
Harmonic Evolute Surface of Tubular Surfaces via $B$ -Darboux	3
Time-Scale Version of Generalized Birkhoffian Mechanics and Its Symmetries and Conserved Quantities of Noether Type	3
Noether Symmetry Method for Hamiltonian Mechanics Involving Generalized Operators	3
The Galerkin Method for Fourth-Order Equation of the Moore–Gibson–Thompson Type with Integral Condition	3
Music Signal Recognition Based on the Mathematical and Physical Equation Inversion Method	3
Painlevé Analysis, Soliton Molecule, and Lump Solution of the Higher-Order Boussinesq Equation	3
Motion Feature Retrieval in Basketball Match Video Based on Multisource Motion Feature Fusion	3
Variationally Improved Bézier Surfaces with Shifted Knots	3
New Existence Results for Nonlinear Fractional Integrodifferential Equations	3
Unsteady Electrohydrodynamic Stagnation Point Flow of Hybrid Nanofluid Past a Convective Heated Stretch/Shrink Sheet	3
Pure Traveling Wave Solutions for Three Nonlinear Fractional Models	3
Research on the Measurement of Logistics Capability of Core Cities along “the Belt and Road” in China	3