Advances in Mathematical Physics

2009 - 2023

Continuation of Advances in Mathematical Physics.

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Volume 2021, issue 1, 2021

General Traveling Wave Solutions of Nonlinear Conformable Fractional Sharma‐Tasso‐Olever Equations and Discussing the Effects of the Fractional Derivatives

Kai Fan, Rui Wang and Cunlong Zhou

Weak‐Strong Uniqueness for Compressible Magnetohydrodynamic Equations with Coulomb Force

Lianhua He and Yonghui Zhou

Time‐Scale Version of Generalized Birkhoffian Mechanics and Its Symmetries and Conserved Quantities of Noether Type

Jin-Yue Chen and Yi Zhang

Geometrical Classification of Self‐Similar Motion of Two‐Dimensional Three Point Vortex System by Deviation Curvature on Jacobi Field

Yuma Hirakui and Takahiro Yajima

Variationally Improved Bézier Surfaces with Shifted Knots

Daud Ahmad, Kanwal Hassan, M. Khalid Mahmood, Javaid Ali, Ilyas Khan and M. Fayz-Al-Asad

Residual Symmetry, Bäcklund Transformation, and Soliton Solutions of the Higher‐Order Broer‐Kaup System

Yarong Xia, Ruoxia Yao and Xiangpeng Xin

Fuzzy Meir‐Keeler’s Contraction and Characterization

Kianoush Fathi Vajargah and Hamid Mottaghi Golshan

Dimension Reduction Big Data Using Recognition of Data Features Based on Copula Function and Principal Component Analysis

Fazel Badakhshan Farahabadi, Kianoush Fathi Vajargah and Rahman Farnoosh

Characters of Explicit Solutions for a Semidiscrete Integrable Coupled Equation

Qiulan Zhao, Qianqian Yang and Xiangwen Qu

Breather Positons and Rogue Waves for the Nonlocal Fokas‐Lenells Equation

Chun Wang, Rong Fan, Zhao Zhang and Biao Li

A Study on the Statistical Properties of the Prime Numbers Using the Classical and Superstatistical Random Matrix Theories

M. Abdel-Mageed, Ahmed Salim, Walid Osamy and Ahmed M. Khedr

Dynamical Behavior and the Classification of Single Traveling Wave Solutions for the Coupled Nonlinear Schrödinger Equations with Variable Coefficients

Zhao Li, Peng Li and Tianyong Han

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

J. Bouslimi, M. Omri, R. A. Mohamed, K. H. Mahmoud, S. M. Abo-Dahab and M. S. Soliman

Fourier Spectral Method for a Class of Nonlinear Schrödinger Models

Lei Zhang, Weihua Ou Yang, Xuan Liu and Haidong Qu

Natural Transform along with HPM Technique for Solving Fractional ADE

N. Pareek, A. Gupta, G. Agarwal and D. L. Suthar

Zero and Nonzero Mass Flux Effects of Bioconvective Viscoelastic Nanofluid over a 3D Riga Surface with the Swimming of Gyrotactic Microorganisms

T. S. Karthik, K. Loganathan, A. N. Shankar, M. Jemimah Carmichael, Anand Mohan, Mohammed K. A. Kaabar and Safak Kayikci

Image Texture Analysis and Edge Detection Algorithm Based on Anisotropic Diffusion Equation

Xiaoqin Li

Sequential Extended S‐Metric Spaces and Relevant Fixed Point Results with Application to Nonlinear Integral Equations

Abdollah Karami, Shaban Sedghi and Vahid Parvaneh

Some New Aspects of Metric Fixed Point Theory

Khalil Javed, Fahim Uddin, Hüseyin Işık, Tareq M. Al-shami, Faizan Adeel and Muhammad Arshad

Stability of Perturbed Set Differential Equations Involving Causal Operators in Regard to Their Unperturbed Ones considering Difference in Initial Conditions

Coșkun Yakar and Hazm Talab

Analysis and Recognition Method of Internet Image Public Opinion Based on Partial Differential Equation

Yang Zhang

White Noise Functional Solutions for Wick‐Type Stochastic Fractional Mixed KdV‐mKdV Equation Using Extended (G′/G)‐Expansion Method

Zhao Li, Peng Li and Tianyong Han

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

Mouafo Teifouet Armand Robinson and Zhenyu Wang

Image Enhancement of Cross‐Border E‐Commerce Logistics Video Surveillance Based on Partial Differential Equations

Xiaosheng Yu and Peili Wu

A Stochastic Holling‐Type II Predator‐Prey Model with Stage Structure and Refuge for Prey

Wanying Shi, Youlin Huang, Chunjin Wei and Shuwen Zhang

Construction of 2‐Peakon Solutions and Nonuniqueness for a Generalized mCH Equation

Hao Yu, Aiyong Chen and Kelei Zhang

Evolutoids of the Mixed‐Type Curves

Xin Zhao and Donghe Pei

Rational Wave Solutions and Dynamics Properties of the Generalized (2 + 1)‐Dimensional Calogero‐Bogoyavlenskii‐Schiff Equation by Using Bilinear Method

Lihui Han, Sudao Bilige, Xiaomin Wang, Meiyu Li and Runfa Zhang

On Fractional Diffusion Equation with Caputo‐Fabrizio Derivative and Memory Term

Binh Duy Ho, Thi Van Kim Ho, Long Le Dinh, Nguyen Hoang Luc and Phuong Nguyen

Mean Deviation Coupling Control for Multimotor System via Global Fast Terminal Sliding Mode Control

Changlin Zhu, Qunzhang Tu, Chengming Jiang, Ming Pan, Hao Huang and Zhiwen Tu

Barcode Location in Financial Statement System Based on the Partial Differential Equation Image Recognition Algorithm

Jinghua Ning and Song Yu

A Discriminative Target Equation‐Based Face Recognition Method for Teaching Attendance

Feng Xu and Haiwei Wang

Lie Symmetry Analysis of C1(m, a, b) Partial Differential Equations

Hengtai Wang, Aminu Ma’aruf Nass and Zhiwei Zou

Existence Results for ψ‐Hilfer Fractional Integro‐Differential Hybrid Boundary Value Problems for Differential Equations and Inclusions

Chanakarn Kiataramkul, Sotiris K. Ntouyas and Jessada Tariboon

Full Finite Element Scheme for Reaction‐Diffusion Systems on Embedded Curved Surfaces in ℝ3

D. Assaely León-Velasco and Guillermo Chacón-Acosta

Second‐Order Conditional Lie‐Bäcklund Symmetry and Differential Constraint of Radially Symmetric Diffusion System

Jianping Wang, Huijing Ba, Yaru Liu, Longqi He and Lina Ji

New Exact Traveling Wave Solutions of the Time Fractional Complex Ginzburg‐Landau Equation via the Conformable Fractional Derivative

Zhao Li and Tianyong Han

Lax Representation and Darboux Solutions of the Classical Painlevé Second Equation

Irfan Mahmood and Muhammad Waseem

Application of a Large‐Parameter Technique for Solving a Singular Case of a Rigid Body

A. I. Ismail

Some Convergence Results for a Class of Generalized Nonexpansive Mappings in Banach Spaces

Thabet Abdeljawad, Kifayat Ullah, Junaid Ahmad, Manuel de la Sen and Muhammad Naveed Khan

Feature Extraction of Music Signal Based on Adaptive Wave Equation Inversion

Tianzhuo Gong and Sibing Sun

Optimal Lp–Lq‐Type Decay Rates of Solutions to the Three‐Dimensional Nonisentropic Compressible Euler Equations with Relaxation

Rong Shen and Yong Wang

Application of Partial Differential Equation Image Classification Methods to the Aesthetic Evaluation of Images

Feifeng Liu and Weihu Wang

Characteristic Properties of Type‐2 Smarandache Ruled Surfaces According to the Type‐2 Bishop Frame in E3

Ibrahim Al-Dayel and E. M. Solouma

Existence, Nonexistence, and Stability of Solutions for a Delayed Plate Equation with the Logarithmic Source

Hazal Yüksekkaya, Erhan Pișkin, Salah Mahmoud Boulaaras, Bahri Belkacem Cherif and Sulima Ahmed Zubair

Identification of Fuzzy Information in English Interpretation Based on the Digital Elevation Model

Bingjie Zhang and Yiming Liu

New Optical Soliton Solutions to the Fractional Hyperbolic Nonlinear Schrödinger Equation

Ahmad Sharif

New Exact Solutions, Dynamical and Chaotic Behaviors for the Fourth‐Order Nonlinear Generalized Boussinesq Water Wave Equation

Cheng Chen and Zuolei Wang

Partial Differential Equations‐Based Iterative Denoising Algorithm for Movie Images

Pingli Sun, Chenxia Wang, Min Li and Lanqi Liu

Classification of Nilpotent Lie Superalgebras of Multiplier‐Rank Less than or Equal to 6

Shuang Lang, Jizhu Nan and Wende Liu

Finite Cartan Graphs Attached to Nichols Algebras of Diagonal Type

Chen Qian and Jing Wang

Some New Inequalities Using Nonintegral Notion of Variables

Abha Singh, Abdul Hamid Ganie and Mashael M. Albaidani

Numerical Steepest Descent Method for Hankel Type of Hypersingular Oscillatory Integrals in Electromagnetic Scattering Problems

Qinghua Wu and Mengjun Sun

Security Analysis of Image Scrambling Cipher Based on Compound Chaotic Equation

Luoyin Feng

Embedded Image and Video Coding Algorithm Based on Adaptive Filtering Equation

Zhe Fu

Iterative Construction of Fixed Points for Operators Endowed with Condition (E) in Metric Spaces

Junaid Ahmad, Kifayat Ullah, Hüseyin Işik, Muhammad Arshad and Manuel de la Sen

[Retracted] Research on Spectrum Feature Identification of Indoor Multimodal Communication Signal

Yunfei Chen, Yang Liu and Xintao Fan

Lyapunov Stability of Planar Waves to the Reaction‐Diffusion Equation with a Non‐Lipschitzian Reaction Term

Soyeun Jung and Eunkyung Ko

On Effects of a New Method for Fractional Initial Value Problems

Hülya Kodal Sevindir, Süleyman Çetinkaya and Ali Demir

Pullback Attractors for Nonautonomous Degenerate Kirchhoff Equations with Strong Damping

Honglv Ma, Jing Wang and Jun Xie

Application of Video Processing Technology Based on Diffusion Equation Model in Basketball Analysis

Yafeng Feng and Xianguo Liu

Effect of Scraper Geometry on Scraping HAP/ZrO2 Slurry in Digital Light Processing

Hai Gu, Jie Zhang, Jianhua Sun, Tiancheng Huang, Jie Jiang, Bin Li and Weiwei Wu

Image Processing Method Based on Chaotic Encryption and Wavelet Transform for Planar Design

Yiying Liu and Young Chun Ko

Fluid Equation‐Based and Data‐Driven Simulation of Special Effects Animation

Yujuan Deng

Mei Symmetry and Conservation Laws for Time‐Scale Nonshifted Hamilton Equations

Yi Zhang

Optimized Design of 3D Spatial Images Based on Kalman Filter Equation

Wei Shan

Mathematical Modeling and Simulation of Table Tennis Trajectory Based on Digital Video Image Processing

Chuan He, Xiaoquan Zhang, Yulong Gui, Yang Liu and Wei Zhang

Study of Differential Equations on Warped Product Semi‐Invariant Submanifolds of the Generalized Sasakian Space Forms

Ibrahim Al-Dayel

Application of Image Recognition Algorithm Based on Partial Differential Equation and Wavelet Transform in the Intelligent Linkage System of Government Urban Public Management

Xinyu Xu

A Fixed Point Technique for Set‐Valued Contractions with Supportive Applications

Hasanen A. Hammad and Manuel De la Sen

Remarks on the Systems of Semilinear Fractional Rayleigh‐Stokes Equation

Le Dinh Long

Signal Recognition for English Speech Translation Based on Improved Wavelet Denoising Method

Zhuo Chen

Dynamic Characteristics of Four Systems of Difference Equations with Higher Order

Abdul Qadeer Khan, Shahid Mahmood Qureshi and Imtiaz Ahmed

The Existence of Strong Solution for Generalized Navier‐Stokes Equations with p(x)‐Power Law under Dirichlet Boundary Conditions

Cholmin Sin

The New Scramble for Faure Sequence Based on Irrational Numbers

Ali Mogharrabi O., Behrooz Fathi V., M. H. Behzadi and R. Farnoosh

Interaction of Two‐Level Atom with Squeezed Vacuum Reservoir

Tamirat Abebe, Demissie Jobir, Chimdessa Gashu and Ebisa Mosisa

Logarithmic Generalization of the Lambert W Function and Its Applications to Adiabatic Thermostatistics of the Three‐Parameter Entropy

Cristina B. Corcino and Roberto B. Corcino

Application of Third‐Order Schemes to Improve the Convergence of the Hardy Cross Method in Pipe Network Analysis

Majid Niazkar and Gökçen Eryılmaz Türkkan

The Existence of Least Energy Sign‐Changing Solution for Kirchhoff‐Type Problem with Potential Vanishing at Infinity

Ting Xiao, Canlin Gan and Qiongfen Zhang

Periodic Peakon and Smooth Periodic Solutions for KP‐MEW(3,2) Equation

Junning Cai, Minzhi Wei and Liping He

Painlevé Analysis, Soliton Molecule, and Lump Solution of the Higher‐Order Boussinesq Equation

Bo Ren

Paracontact Metric (κ, μ)‐Manifold Satisfying the Miao‐Tam Equation

Dehe Li and Jiabin Yin

Pure Traveling Wave Solutions for Three Nonlinear Fractional Models

Qinjun Li, Danyal Soybaş, Onur Alp Ilhan, Gurpreet Singh and Jalil Manafian

An Interpolation Theorem for Quasimartingales in Noncommutative Symmetric Spaces

Congbian Ma and Guoxi Zhao

The Maschke‐Type Theorem and Morita Context for BiHom‐Smash Products

Bingliang Shen and Ling Liu

Improvement of the Nonparametric Estimation of Functional Stationary Time Series Using Yeo‐Johnson Transformation with Application to Temperature Curves

Sameera Abdulsalam Othman and Haithem Taha Mohammed Ali

The Cauchy Problem for the Incompressible 2D‐MHD with Power Law‐Type Nonlinear Viscous Fluid

Jae-Myoung Kim

On the Exact Solitary Wave Solutions to the New (2 + 1) and (3 + 1)‐Dimensional Extensions of the Benjamin‐Ono Equations

Lan Wu, Xiao Zhang and Jalil Manafian

Multiple Nontrivial Solutions for a Nonlocal Problem with Sublinear Nonlinearity

Zhigao Shi and Xiaotao Qian

Similarity Solutions to Nonlinear Diffusion/Harry Dym Fractional Equations

Chao Yue, Guijuan Liu, Kun Li and Hanhui Dong

An Efficient Explicit Decoupled Group Method for Solving Two–Dimensional Fractional Burgers’ Equation and Its Convergence Analysis

N. Abdi, H. Aminikhah, A. H. Refahi Sheikhani, J. Alavi and M. Taghipour

Initial and Boundary Value Problems for a Class of Nonlinear Metaparabolic Equations

Huafei Di and Zefang Song

Solitary and Rogue Wave Solutions to the Conformable Time Fractional Modified Kawahara Equation in Mathematical Physics

Nur Hasan Mahmud Shahen, Foyjonnesa, Md Habibul Bashar, Tasnim Tahseen and Sakhawat Hossain

Line Soliton Interactions for Shallow Ocean Waves and Novel Solutions with Peakon, Ring, Conical, Columnar, and Lump Structures Based on Fractional KP Equation

Bo Xu, Yufeng Zhang and Sheng Zhang

Numerical Study of the Inverse Problem of Generalized Burgers–Fisher and Generalized Burgers–Huxley Equations

Javad Alavi and Hossein Aminikhah

Application of the Multiple Exp‐Function, Cross‐Kink, Periodic‐Kink, Solitary Wave Methods, and Stability Analysis for the CDG Equation

Haifa Bin Jebreen and Yurilev Chalco-Cano

Novel Numerical Scheme for Singularly Perturbed Time Delay Convection‐Diffusion Equation

Mesfin Mekuria Woldaregay, Worku Tilahun Aniley and Gemechis File Duressa

Equilibrium, Regular Polygons, and Coulomb‐Type Dynamics in Different Dimensions

W. I. Skrypnik

Uncertain Random Data Envelopment Analysis: Efficiency Estimation of Returns to Scale

Bao Jiang, Shuang Feng, Jinwu Gao and Jian Li

Enhanced Squeezing and Entanglement in Nondegenerate Three‐Level Laser Coupled to Squeezed Vacuum Reservoir

Ebisa Mosisa

On J‐Cone Metric Spaces over a Banach Algebra and Some Fixed‐Point Theorems

Jerolina Fernandez, Neeraj Malviya, Vahid Parvaneh, Hassen Aydi and Babak Mohammadi

Algebro‐Geometric Solutions of the Coupled Chaffee‐Infante Reaction Diffusion Hierarchy

Chao Yue and Tiecheng Xia

Existence and Uniqueness of Solutions for Coupled Impulsive Fractional Pantograph Differential Equations with Antiperiodic Boundary Conditions

Karim Guida, Lahcen Ibnelazyz, Khalid Hilal and Said Melliani

Fixed Point Approximation for a Class of Generalized Nonexpansive Mappings in Hadamard Spaces

Kifayat Ullah, Junaid Ahmad, Akbar Ali Khan and Manuel de la Sen

Analytical Solution of Two‐Dimensional Sine‐Gordon Equation

Alemayehu Tamirie Deresse, Yesuf Obsie Mussa and Ademe Kebede Gizaw

Efficient Numerical Algorithm for the Solution of Nonlinear Two‐Dimensional Volterra Integral Equation Arising from Torsion Problem

A. M. Al-Bugami

Image Recognition of Pledges of Capital Stock in Small‐ and Medium‐Sized Enterprises Based on Partial Differential Equations

Dehui Zhou

Denoising of Tourist Street Scene Image Based on ROF Model of Second‐Order Partial Differential Equation

Xiaofeng Yang

Automatic Recognition of Financial Instruments Based on Anisotropic Partial Differential Equations

Wenfu Pan, Li Chen and Ruxing Zhang

Existence for Time‐Fractional Semilinear Diffusion Equation on the Sphere

N. D. Phuong, Ho Duy Binh, Ho Thi Kim Van and Le Dinh Long

Bifurcation Analysis of a Fractional‐Order Delayed Rolling Mill’s Main Drive Electromechanical Coupling System

Rui Zhang, Jinbin Wang and Lifeng Ma

Characterization of Lagrangian Submanifolds by Geometric Inequalities in Complex Space Forms

Lamia Saeed Alqahtani

Unsteady Electrohydrodynamic Stagnation Point Flow of Hybrid Nanofluid Past a Convective Heated Stretch/Shrink Sheet

Muhammad Jawad, Rashid Jan, Salah Boulaaras, Ibni Amin, Niaz Ali Shah and Sahar Ahmed Idris

Lie Symmetry Analysis, Exact Solutions, and Conservation Laws of Variable‐Coefficients Boiti‐Leon‐Pempinelli Equation

Feng Zhang, Yuru Hu and Xiangpeng Xin

Large‐Scale Image Retrieval of Tourist Attractions Based on Multiple Linear Regression Equations

Yinping Song

Image Retrieval Model Analysis of Digital Library Based on Texture Characteristics

Yu Zhao

[Retracted] Study on Announcement Effect of Stock Repurchase from the Perspective of Configuration Analysis

Hong Bing Wang, Ai Hua Jin and Hai Yun Yu

Correlated Log‐Normal Random Variables under a Multiscale Volatility Model

Yong-Ki Ma

Geometric Mechanics on Warped Product Semi‐Slant Submanifold of Generalized Complex Space Forms

Yanlin Li, Ali H. Alkhaldi and Akram Ali

[Retracted] ECG Signal Detection and Classification of Heart Rhythm Diseases Based on ResNet and LSTM

Qiyang Xie, Xingrui Wang, Hongyu Sun, Yongtao Zhang and Xiang Lu

A General Inequality for CR‐Warped Products in Generalized Sasakian Space Form and Its Applications

Yanlin Li, Akram Ali and Rifaqat Ali

Video Recognition of Government Community Management Cases Based on Partial Differential Equation Method

Yumeng Sun

Human Movement Recognition in Dancesport Video Images Based on Chaotic System Equations

Yongtai Sun and Jingdong Chen

Optimal Homotopy Asymptotic Method for Investigation of Effects of Thermal Radiation, Internal Heat Generation, and Buoyancy on Velocity and Heat Transfer in the Blasius Flow

Dachas Ibrahim, Mitiku Daba and Solomon Bati

A New Construction of Holditch Theorem for Homothetic Motions in Cp

Tülay Erişir

Admissible Hybrid Z‐Contractions in Extended b‐Metric Spaces

Quanita Kiran, Mamuna Azhar, Hassen Aydi and Yaé Ulrich Gaba

Three‐Dimensional Simulations of Offshore Oil Platform in Square and Diamond Arrangements

Saliha Nouri, Zouhair Hafsia, Salah Mahmoud Boulaaras, Ali Allahem, Salem Alkhalaf and Aldo Munoz Vazquez

Simultaneous Flow of n‐Immiscible Fractional Maxwell Fluids with Generalized Thermal Flux and Robin Boundary Conditions

Abdul Rauf, Qammar Rubbab, Nehad Ali Shah and Kaleem Razzaq Malik

Statistical Study of the Entanglement for Qubit Interacting with an Electromagnetic Field

Neveen Sayed-Ahmed, M. M. Amein, Taghreed M. Jawa, Tahani A. Aloafi, F. S. Bayones, Azhari A. Elhag and J. Bouslimi

The Soliton Solutions and Long‐Time Asymptotic Analysis for an Integrable Variable Coefficient Nonlocal Nonlinear Schrödinger Equation

Guiying Chen, Xiangpeng Xin and Feng Zhang

Some Fixed‐Point Theorems over a Generalized F‐Metric Space

Kushal Roy, Hossein Alaeidizaji, Mantu Saha, Babak Mohammadi and Vahid Parvaneh

The Soliton Solutions and Long‐Time Asymptotic Analysis for a General Coupled KdV Equation

Changhao Zhang and Guiying Chen

Physics Informed by Deep Learning: Numerical Solutions of Modified Korteweg‐de Vries Equation

Yuexing Bai, Temuer Chaolu and Sudao Bilige

Extinction Phenomenon and Decay Estimate for a Quasilinear Parabolic Equation with a Nonlinear Source

Dengming Liu and Luo Yang

Parameter Estimation for the One‐Term (Multiterm) Fractional‐Order SEIAR Models of Norovirus Outbreak

Tianzeng Li, Yu Wang and Weiqiu Pan

Mixed Rational Lump‐Solitary Wave Solutions to an Extended (2+1)‐Dimensional KdV Equation

Zhigang Yao, Huayong Xie and Hui Jie

Beta Operator with Caputo Marichev‐Saigo‐Maeda Fractional Differential Operator of Extended Mittag‐Leffler Function

Tayyaba Manzoor, Adnan Khan, Kahsay Godifey Wubneh and Hafte Amsalu Kahsay

A New Result for a Blow‐up of Solutions to a Logarithmic Flexible Structure with Second Sound

Ahlem Merah, Fatiha Mesloub, Salah Mahmoud Boulaaras and Bahri-Belkacem Cherif

Existence Results for a Nonlocal Coupled System of Sequential Fractional Differential Equations Involving ψ‐Hilfer Fractional Derivatives

Athasit Wongcharoen, Sotiris K. Ntouyas, Phollakrit Wongsantisuk and Jessada Tariboon

Regarding New Traveling Wave Solutions for the Mathematical Model Arising in Telecommunications

Haci Mehmet Baskonus, Juan Luis García Guirao, Ajay Kumar, Fernando S. Vidal Causanilles and German Rodriguez Bermudez

The Mathematical Model for the Tippe Top Inversion

R. Usubamatov, M. Bergander and S. Kapayeva

Enhancing Steady‐State Entanglement Generated by a Nondegenerate Three‐Level Laser with Thermal Reservoir

Tamirat Abebe, Tewodros Yirgashewa and Abebe Belay

A Semianalytical Approach to the Solution of Time‐Fractional Navier‐Stokes Equation

Zeeshan Ali, Shayan Naseri Nia, Faranak Rabiei, Kamal Shah and Ming Kwang Tan

Study of Magnetohydrodynamic Pulsatile Blood Flow through an Inclined Porous Cylindrical Tube with Generalized Time‐Nonlocal Shear Stress

Nehad Ali Shah, A. Al-Zubaidi and S. Saleem

Characteristics of the Soliton Molecule and Lump Solution in the (2 + 1)‐Dimensional Higher‐Order Boussinesq Equation

Bo Ren

On Existence of Multiplicity of Weak Solutions for a New Class of Nonlinear Fractional Boundary Value Systems via Variational Approach

Fares Kamache, Salah Mahmoud Boulaaras, Rafik Guefaifia, Nguyen Thanh Chung, Bahri Belkacem Cherif and Mohamed Abdalla

Solitary Wave Solutions to the Multidimensional Landau–Lifshitz Equation

Ahmad Neirameh

Soliton Molecules and Full Symmetry Groups to the KdV‐Sawada‐Kotera‐Ramani Equation

Na Xiong, Ya-Xuan Yu and Biao Li

The Galerkin Method for Fourth‐Order Equation of the Moore–Gibson–Thompson Type with Integral Condition

Ahlem Mesloub, Abderrahmane Zaraï, Fatiha Mesloub, Bahri-Belkacem Cherif and Mohamed Abdalla

Solution of Space‐Time‐Fractional Problem by Shehu Variational Iteration Method

Suleyman Cetinkaya, Ali Demir and Hulya Kodal Sevindir

New Existence Results for Nonlinear Fractional Integrodifferential Equations

Lahcen Ibnelazyz, Karim Guida, Khalid Hilal and Said Melliani

Fractional Operators Associated with the ք‐Extended Mathieu Series by Using Laplace Transform

Hafte Amsalu Kahsay, Adnan Khan, Sajjad Khan and Kahsay Godifey Wubneh

Global Existence and Long‐Time Behavior of Solutions to the Full Compressible Euler Equations with Damping and Heat Conduction in ℝ3

Yunshun Wu, Yong Wang and Rong Shen

A Tripled Fixed Point Theorem in C∗‐Algebra‐Valued Metric Spaces and Application in Integral Equations

Vahid Parvaneh, Samira Hadi Bonab, Hasan Hosseinzadeh and Hassen Aydi

Harmonic Evolute Surface of Tubular Surfaces via B‐Darboux Frame in Euclidean 3‐Space

E. M. Solouma and Ibrahim AL-Dayel

Further Results about Seeking for the Exact Solutions of the Nonlinear (2 + 1)‐Dimensional Jaulent‐Miodek Equation

Jingsen Hu and Jianming Qi

A Numerical Algorithm Applied to Free Convection Flows of the Casson Fluid along with Heat and Mass Transfer Described by the Caputo Derivative

Ndolane Sene

M‐Breather, Lumps, and Soliton Molecules for the (2 + 1)‐Dimensional Elliptic Toda Equation

Yuechen Jia, Yu Lu, Miao Yu and Hasi Gegen

Hidden Markov Model‐Based Video Recognition for Sports

Zhiyuan Wang, Chongyuan Bi, Songhui You and Junjie Yao

Computer Simulation of Water Flow Animation Based on Two‐Dimensional Navier‐Stokes Equations

Rushi Cao and Ruyun Cao

Boundedness and Asymptotic Behavior to a Chemotaxis System with Indirect Signal Generation and Singular Sensitivity

Jie Wu, Li Zhao and Heping Pan

Fast Decomposition Algorithm Based on Two‐Dimensional Wavelet Transform for Image Processing of Graphic Design

Feifei Jiang and Wenting Yao

A Study of Doubly Warped Product Immersions in a Nearly Trans‐Sasakian Manifold with Slant Factor

Ali H. Alkhaldi, Aliya Naaz Siddiqui, Kamran Ahmad and Akram Ali

Rigidity of Complete Gradient Shrinkers with Pointwise Pinching Riemannian Curvature

Yawei Chu, Dehe Li and Jundong Zhou

Semisupervised Association Learning Based on Partial Differential Equations for Sparse Representation of Image Class Attributes

Wei Song, Guang Hu, Liuqing OuYang and Zhenjie Zhu

A Massive Image Recognition Algorithm Based on Attribute Modelling and Knowledge Acquisition

Guohua Li, An Liu and Huajie Shen

The Stochastic Resonance Phenomenon of Different Noises in Underdamped Bistable System

Shan Yang, Zening Fan and Ruibin Ren

Reliability Estimation of Inverse Lomax Distribution Using Extreme Ranked Set Sampling

Amer Ibrahim Al-Omari, Amal S. Hassan, Naif Alotaibi, Mansour Shrahili and Heba F. Nagy

Adaptive Extraction of Oil Painting Texture Features Based on Reaction Diffusion Equation

Qicai Huang

[Retracted] Asymptotic Behavior of Solution for Functional Evolution Equations with Stepanov Forcing Terms

Zhong-Hua Wu

Image Edge Detection Algorithm Based on Fuzzy Radial Basis Neural Network

Lin Feng, Jian Wang and Chao Ding

Real‐Time Analysis of Athletes’ Physical Condition in Training Based on Video Monitoring Technology of Optical Flow Equation

Cuijuan Wang

Mathematical Modeling for Ceramic Shape 3D Image Based on Deep Learning Algorithm

Lijian Zhang and Guangfu Liu

Blowing Up for the p‐Laplacian Parabolic Equation with Logarithmic Nonlinearity

Asma Alharbi

New Traveling Wave Solutions and Interesting Bifurcation Phenomena of Generalized KdV‐mKdV‐Like Equation

Yiren Chen and Shaoyong Li

Optimization of an Intelligent Sorting and Recycling System for Solid Waste Based on Image Recognition Technology

Haitao Chen

Application of Image Segmentation Algorithm Based on Partial Differential Equation in Legal Case Text Classification

Jingliang Sun

Identification of Psychological Crisis Signals of College Students Based on the Dufferin Equation

Jianping Zhao and Haitao Song

The Degree‐Based Topological Indices for Two Special Families of Graphs of Diameter Three

Aqsa Khalid, Nasreen Kausar, Mohammad Munir, Hassen Aydi, Sajida Kousar and Yaé Ulrich Gaba

A Partial Differential Equation‐Based Image Restoration Method in Environmental Art Design

Chen Li

Using Partial Differential Equation Face Recognition Model to Evaluate Students’ Attention in a College Chinese Classroom

Xia Miao, Ziyao Yu and Ming Liu

Image Segmentation Method for an Illumination Highlight Region of Interior Design Effects Based on the Partial Differential Equation

Lina Wang, Yaoming Liu and Zhike Qian

Three‐Dimensional Diffusion Model in Sports Dance Video Human Skeleton Detection and Extraction

Zhi Li

Recognition of High Difference Features in Urban Planning Images Based on Morphological Filtering

Peipei Liu

Classification of All Single Traveling Wave Solutions of Fractional Coupled Boussinesq Equations via the Complete Discrimination System Method

Tianyong Han and Zhao Li

Various Soliton Solutions and Asymptotic State Analysis for the Discrete Modified Korteweg‐de Vries Equation

Zhe Lin, Xiao-Yong Wen and Meng-Li Qin

Numerical Approximation of Generalized Burger’s‐Fisher and Generalized Burger’s‐Huxley Equation by Compact Finite Difference Method

Ravneet Kaur, Shallu, Sachin Kumar and V. K. Kukreja

Uniqueness of Complete Hypersurfaces in Weighted Riemannian Warped Products

Ning Zhang

Chen‐Ricci Inequalities with a Quarter Symmetric Connection in Generalized Space Forms

Ali H. Al-Khaldi, Mohd. Aquib, Mohd Aslam and Meraj Ali Khan

Music Signal Recognition Based on the Mathematical and Physical Equation Inversion Method

Wei Jiang and Dong Sun

UV Index for Public Health Awareness Based on OMI/NASA Satellite Data at King Abdulaziz University, Saudi Arabia

Abdullah Addas, Mahmoud Ragab, Ahmad Maghrabi, S. M. Abo-Dahab and Eman F. El-Nobi

Multifeatured Image Retrieval Techniques Based on Partial Differential Equations for Online Shopping

Jiaohui Yu

Existence of Global Solution and Traveling Wave of the Modified Short‐Wave Equation

Hyungjin Huh

Imperfect Fluid Generalized Robertson Walker Spacetime Admitting Ricci‐Yamabe Metric

Ali H. Alkhaldi, Mohd Danish Siddiqi, Meraj Ali Khan and Lamia Saeed Alqahtani

Fractional‐Order Adaptive P‐Laplace Equation‐Based Art Image Edge Detection

Ming Chen

[Retracted] Multiperson Target Dynamic Tracking Method for Athlete Training Based on Wireless Body Area Network

Diandian Du

[Retracted] The Statistical Analysis of Multidimensional Psychological Characteristics and User Feedback Willingness

Haiying Wang, Yaning Li, Chang Zhou, Haizhe Jin and Lin Wang

Using Nonlinear Diffusion Model to Identify Music Signals

Qiang Li

A Three‐Dimensional Anisotropic Diffusion Equation‐Based Video Recognition Model for Classroom Concentration Evaluation in English Language Teaching

Yanghong Liu and Jintao Liu

Adaptive Recognition of Motion Posture in Sports Video Based on Evolution Equation

Rui Yuan, Zhendong Zhang, Yanyan Le and Enqing Chen

Life Prediction Method of Remanufactured Machinery Equipment Based on Vibration Signal Feature Extraction

Bin Li, Le Kui, Jingdong Luo and Shiyong Chen

Noether Symmetry Method for Hamiltonian Mechanics Involving Generalized Operators

Chuan-Jing Song and Yao Cheng

Numerical and Analytical Investigation for Darcy‐Forchheimer Flow of a Williamson Fluid over a Riga Plate with Double Stratification and Cattaneo‐Christov Dual Flux

S. Eswaramoorthi, Nazek Alessa, M. Sangeethavaanee and Ngawang Namgyel

Wavelet Analysis‐Based Texture Analysis of Ceramic Surface Images

Yanbing Liu, Bei Zhou and Xinghua Yang

Urban Planning Image Feature Enhancement and Simulation Based on Partial Differential Equation Method

Duo Li

Inverse Eigenvalue Problems for Singular Rank One Perturbations of a Sturm‐Liouville Operator

Xuewen Wu

Automatic Recognition Method of Letter Images in English Self‐Learning Based on Partial Differential Equation Method

Yu Zhao, Shuping Du, Ran Li and Hong Yue

Anti‐Interference Heartbeat Measurement Based on a Miniaturized Doppler Radar Sensor

Lingtong Min, Qinyi Lv, Laisen Nie and Deyun Zhou

Application of Image Denoising Method Based on Two‐Way Coupling Diffusion Equation in Public Security Forensics

Yiqun Wang, Changpeng He and Zhenjiang Li

A Poisson Equation‐Based Method for 3D Reconstruction of Animated Images

Ziang Lei

High‐Capacity Real‐Time Face Retrieval Recognition Algorithm Based on Task Scheduling Model for the Treatment Area of Hospital

Yi Zhou and Weili Xia

Feature Extraction and Recognition of Medical CT Images Based on Mumford‐Shah Model

Lumin Fan, Lingli Shen and Xinghua Zuo

Application of EEG Signal Recognition Method Based on Duffing Equation in Psychological Stress Analysis

Min Chai and Lei Ba

Automatic Algorithm for Fractal Plant Art Image Similarity Feature Generation

Zhizhe Liu and Luo Sun

Extraction of Human Motion Information from Digital Video Based on 3D Poisson Equation

Yilin Wang and Baokuan Chang

The Classification of Traveling Wave Solutions to Space‐Time Fractional Resonance Nonlinear Schrödinger Type Equation with a Special Kind of Fractional Derivative

Lianguang Jia and Li Tang

Research on Image Recognition of Building Wall Design Defects Based on Partial Differential Equation

Xiwen Yu, Kai Wang and Shaoxuan Wang

Solving a Nonlinear Fredholm Integral Equation via an Orthogonal Metric

Arul Joseph Gnanaprakasam, Gunaseelan Mani, Vahid Parvaneh and Hassen Aydi

Noise Data Removal and Image Restoration Based on Partial Differential Equation in Sports Image Recognition Technology

Shi Junmei

Analytical Treatment of the Generalized Hirota‐Satsuma‐Ito Equation Arising in Shallow Water Wave

Fan Yong-Yan, Jalil Manafian, Syed Maqsood Zia, Dinh Tran Ngoc Huy and Trung-Hieu Le

Application of Gabor Image Recognition Technology in Intelligent Clothing Design

Sujuan Qiao

[Retracted] Use Python Data Analysis to Gain Insights from Airbnb Hosts

Zichun Tian

Commodity Price Recognition and Simulation of Image Recognition Technology Based on the Nonlinear Dimensionality Reduction Method

Yongbin Liu, Jingjie Wang and Wei Bai

Application of Image Recognition Method Based on Diffusion Equation in Film and Television Production

Liyuan Guo