Mathematical Methods in the Applied Sciences

Article	Citations
Issue Information	121
Existence of weak solutions for a nonhomogeneous incompressible cell–fluid Navier–Stokes model with chemotaxis	76
Subordinators and Generalized Heat Kernels: Random Time Change and Long Time Dynamics	69
Analytical Solutions and Simulating the Nonlinear Dispersive Waves of the MEW Model Via Two Robust Techniques	66
Riemann‐Hilbert approach for the integrable discrete Hirota equation with bounded boundary conditions in the presence of a discrete spectrum	59
The Role of the Dimension in Uniqueness Results for the Fractional Stationary Quasi‐Geostrophic System	55
Exponential stability of linear systems under a class of Desch–Schappacher perturbations	54
A Time‐Fractional Equation With the Gray Level Indicator for Image Multiplicative Noise Removal	53
QGI Algorithm for Solving Quaternion Equation Arising in Image Encryption	52
Existence and uniqueness of solutions of differential equations with respect to non‐additive measures	48
Effect of unfavorable regions on the spreading solution in a diffusion equation	46
Normalized Solutions for Kirchhoff Problems With Mixed Nonlinearities and Critical Exponential Growth	45
Oscillation criterion for Euler type half‐linear difference equations	39
Analysis and Simulation of Fractional Oscillatory Chemical Reaction Equations	39
Optical Solions, Bifurcation Study, and Phase Portraits for the Dual‐Mode Nonlinear SchröDinger Model With Square Root Kerr Law	37
Boundedness and non‐existence of traveling wave solutions for a four‐compartment lattice epidemic system with exposed class and standard incidence	35
Uniform exponential stability approximations of semi‐discretization schemes for two hybrid systems	34
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Geometric and Topological Properties of Fractal Networks	33
Multiplicity and concentration of nontrivial solutions for Kirchhoff–Schrödinger–Poisson system with steep potential well	33
Transmission dynamics of visceral leishmaniasis with PKDL and periodic delays	32
Existence and asymptotic behavior of normalized solutions for fourth‐order equations of Kirchhoff type	31
The Lifespan of Solutions for a Boussinesq‐Type Model	30
Doubly Exponential Growth and Decay for a Semilinear Heat Equation With Logarithmic Nonlinearity	29
Oscillation Criteria of the Leighton–Wintner‐Type and the Hille–Kneser‐Type for Linear Differential Equations With a Proportional Derivative Controller	29

ψ$$ \psi $$‐Caputo type time‐delay Langevin equations with two general fractional orders	29
Analysis of coupled system of q‐fractional Langevin differential equations with q‐fractional integral conditions	28
Analytical Solutions to the Cylindrically Symmetric Compressible Euler–Euler System Coupled Through a Drag Force	28
A blow‐up criterion to a Keller–Segel system coupled with the Euler fluid	27
On the discrete Safronov–Dubovskiǐ coagulation equations: Well‐posedness, mass conservation, and asymptotic behavior	27
Nonlinear stability of forced traveling waves for a Lotka–Volterra cooperative model under climate change	27
A linear quadratic tracking problem for impulsive controlled stochastic systems: The infinite horizon time case	27
An iterative method for the thermally coupled incompressible magnetohydrodynamics equations at high parameter	27
Localized wave solutions to the vector nonlinear Schrödinger equation with nonzero backgrounds	26
Necessary and sufficient conditions for mean‐square bounded consensus of multiagent systems with additive noise	26
Approximate solution for a fractional BVP under Ψ‐Riemann–Liouville operators via iterative method and artificial neural networks	26
Drag on a semipermeable spherical particle covered by a couple stress fluid	26
An inertial method for a solution of split equality of monotone inclusion and the f$$ f $$‐fixed point problems in Banach spaces	25
Several novel inequalities associated with the Riesz‐type fractional integral operator	25
The 2‐ruled hypersurfaces in Minkowski 4‐space and their constructions via octonions	24
Semigroup theory and analysis of solutions for a higher order non‐Lipschitz problem with advection in RN	23
Global well‐posedness to the compressible inertial Qian–Sheng model of liquid crystals	23
Energy conservation for weak solutions to the pressureless Euler–Navier–Stokes system in three‐dimensional space	23
Runge–Kutta pairs of orders 8(7) with extended stability regions for addressing linear inhomogeneous systems	23
Extreme values of solution of Caputo–Hadamard uncertain fractional differential equation and applications	23
New Results for Periodic Discrete Nonlinear SchröDinger Equations	22
Mathematical analysis of autonomous and non‐autonomous age‐structured reaction‐diffusion‐advection population model	22
Time‐domain PML analysis of a fluid–solid interaction problem above a rough surface	22
Modeling the effect of Fangcang shelter hospitals on the control of COVID‐19 epidemic	22
A dimension reduction method of two‐grid finite element solution coefficient vectors for the Allen–Cahn equation	22
On Extended Lifespan for 1D Damped Wave Equation	21
Two‐level multiscale enrichment finite volume method based on the Newton iteration for the stationary incompressible magnetohydrodynamics flow	21
On the Riemann problem and interaction of elementary waves for two‐layered blood flow model through arteries	21
Reconstruction Techniques for Inverse Sturm–Liouville Problems With Complex Coefficients	20
Ulam–Hyers stability of pantograph fractional stochastic differential equations	20
A non‐homogeneous weakly damped Lamé system with time‐dependent delay	20
CMMSE: Application of the Parametrization Method to Solving Boundary Value Problems for Fractional Equations	20
An Inverse Source Technique as a Preliminary Tool to Localize Persons in Indoor Spaces	20
A Regret Bound for the AdaMax Algorithm With Image Segmentation Application	20
Global Well‐Posedness and Large‐Time Behavior for Inhomogeneous Incompressible Navier–Stokes System in the Exterior of a Cylinder	20
Sinc method in spectrum completion and inverse Sturm–Liouville problems	20
On constrained Kaczmarz algorithm with momentum for image reconstruction	19
A mathematical assessment of the isolation random forest method for anomaly detection in big data	19
Atangana–Baleanu–Caputo differential equations with mixed delay terms and integral boundary conditions	19
A high‐order and fast scheme with variable time steps for the time‐fractional Black‐Scholes equation	19
Bernoulli wavelet least squares support vector regression: Robust numerical method for systems of fractional differential equations	19
Symmetric waves are traveling waves of some shallow water scalar equations	19
On Existence of Solutions for Nonlocal Boundary Pantograph Problems Under ( k , ψ )‐Riemann‐Liouville Frac	18
Optimal Control of Ordinary Fractional‐Order Systems With a Delay in the Phase Variable	18
Blow‐Up in the Critical Quasilinear Keller–Segel System With Indirect Signal Production	18
Global existence and blowup of solutions for nonlinear Love equation	18
A nonlocal Kirchhoff diffusion problem with singular potential and logarithmic nonlinearity	18
Unveiling the Dynamics of (3+1) Dimensional q ‐Deformed Tanh‐Gordon Equation: A Controlled Picard Approach to Fractional Nonlinear Systems	18
Stability analysis and optimal control of an epidemic model with multidimensional information of media coverage on networks	18
Modelling and Analysis of a Novel Hepatitis C Virus (HCV) Model Incorporating Awareness Programs	17

Linear differential operators with distribution coefficients of various singularity orders	17
Survey of new applications of geometric algebra	17
Estimates of Solutions for Integro‐Differential Equations in Epidemiological Modeling	17
Existence and Stability of Traveling Wavefronts in a Diffusive Vector Disease Model With Nonlocal Distributed Delay	17
A projection method based on the piecewise Chebyshev cardinal functions for nonlinear stochastic ABC fractional integro‐differential equations	17
Global attractors for porous elastic system with memory and nonlinear frictional damping	17
The Source Term Inversion of a Time‐Fractional Black‐Scholes Equation by Fractional Landweber Iterative Regularization Method	17
Dynamic analysis and optimal control of influenza model with discrete age structure	17
Regularity of the semigroups associated with some damped coupled elastic systems II: A nondegenerate fractional damping case	17
Blow‐Up Curve for a Quasilinear Two‐Species Chemotaxis System With Two Chemicals in Higher Dimension	17
Further analysis on dynamical properties of fractional‐order bi‐directional associative memory neural networks involving double delays	17
Nonstandard Finite Difference Theta Approaches to the Predator–Prey System	17
On the Stability of Timoshenko System With Foundation From the Classical and Second Spectrum Perspectives	16
Dynamical complexity of a fractional‐order neural network with nonidentical delays: Stability and bifurcation curves	16
Moving Null Curves and Integrability	16
Dispersion Characteristics of Rayleigh Waves in a Corrugated Nonlocal Fiber‐Reinforced Layer Bonded to a Nonlocal Substrate With Imperfect Interface	16
Asymptotic Stability of Rarefaction Wave to the 1D Compressible Navier–Stokes–Allen–Cahn System With Density and Phase‐Field Variable–Dependent Viscosity in the Half Space	16
Deep Neural Network Analysis and Optimal Control for a Fractional‐Order Model of HPV and Cervical Cancer	16
Hyperbolic inverse mean curvature flow with forced term: Evolution of plane curves	16
A new representation and shape‐preserving properties of perturbed Bernstein operators	16
A mathematical model for precise predicting microbial propagation based on solving variable‐order fractional diffusion equation	16
Modeling Distributed Denial‐of‐Service Attacks to Develop Defensive Strategies in the Internet of Everything	16
On the existence of energy‐variational solutions in the context of multidimensional incompressible fluid dynamics	16
Blow‐Up Problem for Porous Medium Equation With Absorption Under Nonlinear Nonlocal Boundary Condition	16
Three‐dimensional numerical simulation of a laminar fluid flow in an enhanced microchannel with circular protrusions	16
Testing the hypothesis of a nested block covariance matrix structure with applications to medicine and natural sciences	16
Fractional double phase Robin problem involving variable‐order exponents and logarithm‐type nonlinearity	16
Blow‐up for a nonlocal semilinear pseudo‐parabolic p‐Laplacian type equation	16
Zero‐Hopf bifurcation of a cubic jerk system via the third order averaging method	16
Hybrid Methods of Series Decomposition and Legendre Collocation for the Emden‐Fowler Equation With Blow‐Up	16
Mathematical analysis of stability and Hopf bifurcation in a delayed HIV infection model with saturated immune response	16
Generalized Taylor Series and Peano Kernel Theorem	15
Generalized Mathematical Model of Infectious Disease During Medicinal Intervention by Employing Fractional Differential Equations	15
Nonequilibrium–diffusion limit of the compressible Euler radiation model in ℝ3	15
Investigation on the Approximate Controllability of Neutral Hilfer Fractional Differential Inclusion With Infinite Delay and Noninstantaneous Impulses	15
Qualitative Properties of Solutions to Nonlocal Infectious SIR Epidemic Models	15
Dynamical behaviors of a stochastic HIV/AIDS epidemic model with treatment	15
Hopf bifurcation in time‐delayed gene expression model with dimers	15
Solution of the Boussinesq Problem in a Depth‐Dependent Nonhomogeneous Half‐Space	15
RETRACTION: Artificial Neural Network Approach for Solving Fuzzy Fractional Order Initial Value Problems Under gH‐Differentiability	15
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Effective Macroscopic Equations for Biological Fluid and Nutrients' Transport in Vascularized Tumors Growing Via Proliferation and Chemotaxis	15
Asymptotic analysis of an interior optimal control problem governed by Stokes equations	15
Issue Information	15
Computational methods for periodic systems: Recent developments	15
Existence of nontrivial solutions for a class of poly‐Laplacian system with mixed nonlinearity on graphs	15
How colored noise shifts the boundaries of oscillatory zones in suspension flows	15
Dynamical behavior of nonclassical diffusion equations with memory and lacking instantaneous damping	14
Characterizing digital microstructures by the Minkowski‐based quadratic normal tensor	14
Bifurcation Analysis, Chaotic Behavior, Sensitivity Analysis, Stability Analysis, and Exploring Exact Traveling Wave Solutions of M‐Fractional Nonlinear Model	14
General Gate Teleportation and the Inner Structure of Its Clifford Hierarchies	14
Study on dynamic features and traveling wave solutions of perturbed nonlinear Biswas–Milovic equation combining Kudryashov's law of refractive index	14
Critical exponent of non‐global solutions for an inhomogeneous pseudo‐parabolic equation with space‐time forcing term	14
Similarity Solution Using Optimal Classification of Lie Subalgebras for Shock Waves in Rotating Ideal Gas With Heat Conduction and Radiation Heat Flux Under the Impact of Magnetic Field via Lie Group	14
A Heart Chamber Model Using a Capacitance Function Combined With the Navier–Stokes Equations	14
Weak solution to a Robin problem of anomalous diffusion equations: Uniqueness and stable algorithm for the TPC system	14
Existence of exponential attractor to p(x)‐Laplacian via the l‐trajectories method	14
Singular limit of Lamé equations	14
A Variational Formulation of European Option Prices in the 1‐Hypergeometric Stochastic Volatility Model	14
Issue Information	14
Stochastic Processes Described by Multidimensional Telegraph Equations	13
Separability and Estimates for Eigenvalues and Singular Numbers of a Class of Hyperbolic‐Type Differential Operators	13
An asymptotic consistent couple stress theory for the three‐dimensional free vibration analysis of functionally graded microplates resting on an elastic medium	13
Finite‐time output feedback preview control for linear parameter‐varying systems with input saturation	13
On multiparametrized integral inequalities via generalized α‐convexity on fractal set	13
Mathematical modeling and optimal control for COVID‐19 with population behavior	13
Quasi‐stability and continuity for wave equation with a fractional damping and a small delay	13
Smooth Solution in an N‐Dimensional Chemotaxis Model With Intraguild Predation	13
Asymptotic behavior for textiles with loose contact	13
Regularity Criteria of Weak Solutions to the 3D Axisymmetric Incompressible Boussinesq Equations in Lorentz Spaces	13
Analysis of an integro‐differential model for bulk continuous crystallization with account of impurity feeding, dissolution/growth of nuclei and removal of product crystals	13
Global asymptotic stability and projective lag synchronization for uncertain inertial competitive neural networks	13
Finite Element Fictitious Domain Method for Elliptic PDEs Over Curved‐Complex Domains	13
Source term identification of time‐fractional diffusion equation under Robin boundary condition	13
Disease Transmission on Random Graphs Using Edge‐Based Percolation	13
Calculation of the Magnetic Flux Leakage by a Spheroidal Inclusion in a Ferromagnetic Half‐Space	13
Delay‐Driven Spatial Patterns in a Network‐Organized Vegetation Model With the Finite Soil Carrying Capacity in Semiarid Areas	13
Weak solutions for a degenerate phase‐field model via Galerkin approximation	12
Sharp Error Bounds for Weddle's Quadrature via a Novel Twice‐Differentiable Convex Kernel	12
Parabolic Singular Problems With KPZ‐Nonlinearities and Nonlocal Conditions	12

A new insight into linguistic pattern analysis based on multilayer hypergraphs for the automatic extraction of text summaries	12
Some recent finite volume schemes for one and two layers shallow water equations with variable density	12
A Positivity‐Preserving Numerical Method for the Ternary Allen–Cahn Equation	12
New tightness lower and upper bounds for the standard normal distribution function and related functions	12
Spectral Parameter Power Series for Zakharov‐Shabat Direct and Inverse Scattering Problems	12
Uniqueness of the potential in conformable Sturm‐Liouville problem	12
The Mechanism of Chaotic Complexity in High‐Dimensional Linear Third‐Order Partial Differential Equation	12
Superquadric Motion and Superquadric Hyperbolic Split Quaternion Algebra Via Gielis Formula	12
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A high‐order numerical technique for generalized time‐fractional Fisher's equation	12
Application of flatlet oblique multiwavelets to solve the fractional stochastic integro‐differential equation using Galerkin method	12
Event‐Triggered Based Fault‐Tolerant Control for Chemical Reactor Model Under Actuator Failures and Deception Attacks	12
Behavioral Cobweb Dynamics With Anticipatory Inventory and Ulam Stability: An Integro‐Differential Approach	12
Virtual element method for the Sobolev equations	12
Exact traveling wave solutions of the generalized fifth‐order dispersive equation by the improved Fan subequation method	12
Obtaining a representation of the solution of the Cauchy problem for one equation with a fractional derivative and applying it to the equation of forced beam vibrations	12
Eigenvalue Problems and Time‐Dependent Maxwell‐Stokes System	12
Solution of fractional Sawada–Kotera–Ito equation using Caputo and Atangana–Baleanu derivatives	12
Residually continuous pullback attractors for stochastic discrete plate equations	12
On critical exponents for weak solutions to the Cauchy problem for one nonlinear equation with gradient nonlinearity	12
A Two‐Step Method for Parameterized Generalized Inverse Eigenvalue Problem	12
Nonlinear Dynamics and Chaos Analysis of Fractional‐Order Nonlinear System From Novel Winding Mechanical Equipment	12
Relatively exact controllability of fractional stochastic neutral system with two incommensurate constant delays	12
Results on the existence and approximate controllability of neutral‐type delay integro‐differential system with noninstantaneous impulse	12
Wavelet‐Based L 2‐1 σ Scheme and Its Higher Order Convergence Analysis for Time‐Fractional Option Pric	12
Approximation by α‐Chlodowsky–Durrmeyer Operators	12
Optimal Control Design for Analysis of Effects of Booster Vaccination on COVID‐19 Model	12
Approximation of three‐dimensional nonlinear wave equations by fundamental solutions and weighted residuals process	12
Generalized and optimal sequence of weights on a progressive‐iterative approximation method with memory for least square fitting	12
Existence, Uniqueness and Stability of Strictly Positive Entire Solutions to a Fractional Keller‐Segel Model With Time‐Space Dependent Logistic Source	12
Study on Composition Operators Connected With the Laguerre Polynomials	12
A conservative algorithm based on a hybrid block method and tension B‐spline differential quadrature method for Rosenau–KdV–RLW equation	12
Multiplicative generalized tube surfaces with multiplicative quaternions algebra	12
Mollification of Fourier spectral methods with polynomial kernels	12
A Hybrid Integral–Spectral Chebyshev Collocation Method for Solving MHD Jeffery–Hamel Flow of Nanofluid With a Porous Medium	12
Neutral Fractional Volterra Delay Integro‐Differential Equation With Variable Coefficients and Weakly‐Singular Kernel: Existence‐Uniqueness, Ulam‐Hyers Stability, Numerical Scheme	12
Existence and Uniqueness of Renormalized Solutions for a Nonlinear p(x)‐Parabolic Problem With Lower Order Term and General Data	12
Three minimal norm Hermitian solutions of the reduced biquaternion matrix equation EM+M˜F=G	11
Modeling of stratified two‐phase flows with non‐uniform evaporation based on the exact solution of convection equations	11
On the properties of multidimensional electrostatic oscillations of an electron plasma	11
Lie group of invariance technique for analyzing propagation of strong shock wave in a rotating non‐ideal gas with azimuthal magnetic field	11
λ‐spheres as a new reference model for the geoid	11
On stable solutions of a weighted elliptic equation involving the fractional Laplacian	11
Reiterated homogenization of elliptic systems with Neumann boundary conditions	11
Fitted modifications of Runge–Kutta–Nyström pairs of orders 7(5) for addressing oscillatory problems	11
Phase‐space analysis of the anisotropies in Weyl integrable spacetime: Kantowski–Sachs cosmology	11
Integrating the Probe and Singular Sources Methods: II. the Stokes System	11
Explicit decay rate for the Gini index in the repeated averaging model	11
Computational dynamics of a fractional order substance addictions transfer model with Atangana‐Baleanu‐Caputo derivative	11
Nonexistence of solutions to quasilinear Schrödinger equations with a parameter	11
Time delays in a double‐layered radial tumor model with different living cells	11
Convergence to diffusion waves for solutions of 1D Keller–Segel model	11
On Some Spectral Problems for Sturm–Liouville Equation With Operator Coefficients	11
On the Cauchy problem for a four‐component Novikov system with peaked solutions	11
Noncanonical Emden–Fowler neutral differential equations: New criteria for oscillation	11
On a general degenerate/singular parabolic equation with a nonlocal space term	11
Convergence analysis of high‐order exponential Rosenbrock methods for nonlinear stiff delay differential equations	11
The boundary integral equation describing a curvilinear solid/liquid interface with nonlinear phase transition temperature	11
Sharp estimates of solution of an elliptic problem on a family of open non‐convex planar sectors	11
Behavior of an exponential difference equations system	11
Streamline diffusion finite element method for a singularly perturbed problem with an interior layer on Shishkin mesh	11
Well‐posedness of diffusion–aggregation equations with bounded kernels and their mean‐field approximations	11
Multiple weak solutions for pi(x)‐Kirchhoff‐type quasilinear elliptic systems	11
An application of Lobatto–Chebyshev method to a nonhomogeneous plane problem with two cracks	11
Spectral analysis and stabilization of one dimensional wave equation with singular potential	11
Bifurcation type phenomena for positive solutions of a class of impulsive differential equations	11
Singularities in Finite Time of a Two‐Component Peakon System With Cubic Nonlinearity	11
New fractional integral formulas and kinetic model associated with the hypergeometric superhyperbolic sine function	10
New Results on a Class of Reaction–Convection–Diffusion Equations Through Potential Symmetry Analysis	10
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An analytical method for free vibration analysis of multi‐directional functionally graded porous doubly‐curved shells in thermal environment with various boundary conditions	10
Fixed‐Point Theorems for α‐ψ‐Contractions in Fuzzy b‐Metric Spaces and Applications	10
Chaotic behaviors and stability analysis of pure‐cubic nonlinear Schrödinger equation with full nonlinearity	10
Stability and bifurcation analysis of delayed tri‐trophic food chain model in poisoned environment with fear effect and additional food	10
Regularity of the attractor for a fractional Klein‐Gordon‐Schrödinger system with cubic nonlinearities	10
Geometric regularity criteria for the Navier–Stokes equations in terms of velocity direction	10
Infinitely Many Time‐Periodic Solutions for the Beam Equation With Concave–Convex Nonlinearities	10
Mass lumping of stable generalized finite element methods for parabolic interface problems	10
Optimal impulse dividend and capital injection model with proportional and fixed transaction costs	10
On differential equations involving the ψ$$ \psi $$‐shifted fractional operators	10
Efficient Methods for Solving Equilibrium and Fixed‐Point Problems Using Accelerated Viscosity‐Based Approximations	10
Establishment and Analysis of a Brucellosis Model Based on Detection Behavior and Patches	10
Jacobian‐Free Vectorial Iterative Scheme to Find Simple Several Solutions Simultaneously	10
Effects of ion sizes on Poisson–Nernst–Planck systems with multiple ions	10
The role of convection in the existence of wavefronts for biased movements	10
Global Existence and Decay Rates for Both Isentropic and Nonisentropic 3D Compressible Hall‐Magneto‐Hydrodynamic Equations With Coulomb Force	10
Generation of Escher‐like spiral drawings in a modified hyperbolic space	10
A single bounded input‐feedback control to the generalized Korteweg–de Vries–Burgers–Kuramoto–Sivashinsky equation	10
A non‐Newtonian perspective on multiplicative Lorentz–Minkowski space ????∗3	10
Classification of Hamiltonians for One‐Dimensional Particle Systems	10
Dynamical Analysis of a Simple Tumor‐Immune Model With Two‐Stage Lymphocytes	10
Exponential stability of Rayleigh beam equation on a star‐shaped network with indefinite damping	10
Reduced‐quaternion inframonogenic functions on the ball	10
Conservative compact difference scheme based on the scalar auxiliary variable method for the generalized Kawahara equation	10
On the solution of the distributed optimal control problem with time‐periodic parabolic equations	10