Mathematical Methods in the Applied Sciences

Article	Citations
Issue Information	126
Existence of weak solutions for a nonhomogeneous incompressible cell–fluid Navier–Stokes model with chemotaxis	79
Subordinators and Generalized Heat Kernels: Random Time Change and Long Time Dynamics	78
Analytical Solutions and Simulating the Nonlinear Dispersive Waves of the MEW Model Via Two Robust Techniques	70
Riemann‐Hilbert approach for the integrable discrete Hirota equation with bounded boundary conditions in the presence of a discrete spectrum	66
The Role of the Dimension in Uniqueness Results for the Fractional Stationary Quasi‐Geostrophic System	56
Exponential stability of linear systems under a class of Desch–Schappacher perturbations	54
Existence and uniqueness of solutions of differential equations with respect to non‐additive measures	53
Effect of unfavorable regions on the spreading solution in a diffusion equation	48
Normalized Solutions for Kirchhoff Problems With Mixed Nonlinearities and Critical Exponential Growth	46
Analysis and Simulation of Fractional Oscillatory Chemical Reaction Equations	45
Oscillation criterion for Euler type half‐linear difference equations	40
Optical Solions, Bifurcation Study, and Phase Portraits for the Dual‐Mode Nonlinear SchröDinger Model With Square Root Kerr Law	39
Boundedness and non‐existence of traveling wave solutions for a four‐compartment lattice epidemic system with exposed class and standard incidence	38
Multiplicity and concentration of nontrivial solutions for Kirchhoff–Schrödinger–Poisson system with steep potential well	37
Geometric and Topological Properties of Fractal Networks	36
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Existence and asymptotic behavior of normalized solutions for fourth‐order equations of Kirchhoff type	34
Transmission dynamics of visceral leishmaniasis with PKDL and periodic delays	34
Doubly Exponential Growth and Decay for a Semilinear Heat Equation With Logarithmic Nonlinearity	33
The Lifespan of Solutions for a Boussinesq‐Type Model	33
ψ$$ \psi $$‐Caputo type time‐delay Langevin equations with two general fractional orders	32
Analytical Solutions to the Cylindrically Symmetric Compressible Euler–Euler System Coupled Through a Drag Force	32
On the discrete Safronov–Dubovskiǐ coagulation equations: Well‐posedness, mass conservation, and asymptotic behavior	31
A blow‐up criterion to a Keller–Segel system coupled with the Euler fluid	31

An iterative method for the thermally coupled incompressible magnetohydrodynamics equations at high parameter	29
A linear quadratic tracking problem for impulsive controlled stochastic systems: The infinite horizon time case	29
Drag on a semipermeable spherical particle covered by a couple stress fluid	28
Necessary and sufficient conditions for mean‐square bounded consensus of multiagent systems with additive noise	28
Nonlinear stability of forced traveling waves for a Lotka–Volterra cooperative model under climate change	28
Approximate solution for a fractional BVP under Ψ‐Riemann–Liouville operators via iterative method and artificial neural networks	27
Several novel inequalities associated with the Riesz‐type fractional integral operator	27
Localized wave solutions to the vector nonlinear Schrödinger equation with nonzero backgrounds	27
Global well‐posedness to the compressible inertial Qian–Sheng model of liquid crystals	26
The 2‐ruled hypersurfaces in Minkowski 4‐space and their constructions via octonions	26
Semigroup theory and analysis of solutions for a higher order non‐Lipschitz problem with advection in RN	26
An inertial method for a solution of split equality of monotone inclusion and the f$$ f $$‐fixed point problems in Banach spaces	26
Extreme values of solution of Caputo–Hadamard uncertain fractional differential equation and applications	24
Energy conservation for weak solutions to the pressureless Euler–Navier–Stokes system in three‐dimensional space	24
Mathematical analysis of autonomous and non‐autonomous age‐structured reaction‐diffusion‐advection population model	24
Two‐level multiscale enrichment finite volume method based on the Newton iteration for the stationary incompressible magnetohydrodynamics flow	23
Time‐domain PML analysis of a fluid–solid interaction problem above a rough surface	23
On Extended Lifespan for 1D Damped Wave Equation	23
New Results for Periodic Discrete Nonlinear SchröDinger Equations	23
Dynamical complexity of a fractional‐order neural network with nonidentical delays: Stability and bifurcation curves	22
On the Riemann problem and interaction of elementary waves for two‐layered blood flow model through arteries	22
Hyperbolic inverse mean curvature flow with forced term: Evolution of plane curves	22
A new representation and shape‐preserving properties of perturbed Bernstein operators	22
Reconstruction Techniques for Inverse Sturm–Liouville Problems With Complex Coefficients	22
Symmetric waves are traveling waves of some shallow water scalar equations	21
Moving Null Curves and Integrability	21
Dispersion Characteristics of Rayleigh Waves in a Corrugated Nonlocal Fiber‐Reinforced Layer Bonded to a Nonlocal Substrate With Imperfect Interface	21
Blow‐up for a nonlocal semilinear pseudo‐parabolic p‐Laplacian type equation	21
On constrained Kaczmarz algorithm with momentum for image reconstruction	21
Zero‐Hopf bifurcation of a cubic jerk system via the third order averaging method	21
Unveiling the Dynamics of (3+1) Dimensional q ‐Deformed Tanh‐Gordon Equation: A Controlled Picard Approach to Fractional Nonlinear Systems	20
On Existence of Solutions for Nonlocal Boundary Pantograph Problems Under ( k , ψ )‐Riemann‐Liouville Frac	20
Global attractors for porous elastic system with memory and nonlinear frictional damping	19
Optimal Control of Ordinary Fractional‐Order Systems With a Delay in the Phase Variable	19
Modelling and Analysis of a Novel Hepatitis C Virus (HCV) Model Incorporating Awareness Programs	19
Stability analysis and optimal control of an epidemic model with multidimensional information of media coverage on networks	19
A projection method based on the piecewise Chebyshev cardinal functions for nonlinear stochastic ABC fractional integro‐differential equations	19
A nonlocal Kirchhoff diffusion problem with singular potential and logarithmic nonlinearity	19
Existence and Stability of Traveling Wavefronts in a Diffusive Vector Disease Model With Nonlocal Distributed Delay	18
Three‐dimensional numerical simulation of a laminar fluid flow in an enhanced microchannel with circular protrusions	18
Blow‐Up Problem for Porous Medium Equation With Absorption Under Nonlinear Nonlocal Boundary Condition	18
Regularity of the semigroups associated with some damped coupled elastic systems II: A nondegenerate fractional damping case	18
Dynamic analysis and optimal control of influenza model with discrete age structure	18
Nonstandard Finite Difference Theta Approaches to the Predator–Prey System	18
Sinc method in spectrum completion and inverse Sturm–Liouville problems	18
Estimates of Solutions for Integro‐Differential Equations in Epidemiological Modeling	18
Survey of new applications of geometric algebra	18
The Source Term Inversion of a Time‐Fractional Black‐Scholes Equation by Fractional Landweber Iterative Regularization Method	18
Global existence and blowup of solutions for nonlinear Love equation	18
Atangana–Baleanu–Caputo differential equations with mixed delay terms and integral boundary conditions	18

Oscillation Criteria of the Leighton–Wintner‐Type and the Hille–Kneser‐Type for Linear Differential Equations With a Proportional Derivative Controller	17
QGI Algorithm for Solving Quaternion Equation Arising in Image Encryption	17
Towards Weakly Hyperbolic Models for Inaccessible Pore Volume Model in Polymer Flooding	17
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	17
Modeling Distributed Denial‐of‐Service Attacks to Develop Defensive Strategies in the Internet of Everything	17
A Time‐Fractional Equation With the Gray Level Indicator for Image Multiplicative Noise Removal	17
Averaging Principle for A Stochastic Delayed Avian Influenza Model with Impulsive Perturbations and Fractional Riemann‐Liouville‐Type Contact Rates	17
Runge–Kutta pairs of orders 8(7) with extended stability regions for addressing linear inhomogeneous systems	17
Global Well‐Posedness and Large‐Time Behavior for Inhomogeneous Incompressible Navier–Stokes System in the Exterior of a Cylinder	17
CMMSE: Application of the Parametrization Method to Solving Boundary Value Problems for Fractional Equations	17
Hybrid Methods of Series Decomposition and Legendre Collocation for the Emden‐Fowler Equation With Blow‐Up	17
Uniform exponential stability approximations of semi‐discretization schemes for two hybrid systems	17
A mathematical model for precise predicting microbial propagation based on solving variable‐order fractional diffusion equation	17
Bernoulli wavelet least squares support vector regression: Robust numerical method for systems of fractional differential equations	17
Blow‐Up in the Critical Quasilinear Keller–Segel System With Indirect Signal Production	17
Ulam–Hyers stability of pantograph fractional stochastic differential equations	17
On the existence of energy‐variational solutions in the context of multidimensional incompressible fluid dynamics	17
Approximation of Functions by Modified Phillips q−Bernstein Operators of Order Two	16
On the Stability of Timoshenko System With Foundation From the Classical and Second Spectrum Perspectives	16
A dimension reduction method of two‐grid finite element solution coefficient vectors for the Allen–Cahn equation	16
A high‐order and fast scheme with variable time steps for the time‐fractional Black‐Scholes equation	16
Analysis of coupled system of q‐fractional Langevin differential equations with q‐fractional integral conditions	16
An Inverse Source Technique as a Preliminary Tool to Localize Persons in Indoor Spaces	16
Linear differential operators with distribution coefficients of various singularity orders	16
Mathematical analysis of stability and Hopf bifurcation in a delayed HIV infection model with saturated immune response	16
Global Boundedness and Stability of Classical Solutions to a Predator‐Prey Chemotaxis System With Two Chemicals and Logistic Sources on ℝN	16
Blow‐Up Curve for a Quasilinear Two‐Species Chemotaxis System With Two Chemicals in Higher Dimension	16
A non‐homogeneous weakly damped Lamé system with time‐dependent delay	16
Singular limit of Lamé equations	15
Weak solution to a Robin problem of anomalous diffusion equations: Uniqueness and stable algorithm for the TPC system	15
A Regret Bound for the AdaMax Algorithm With Image Segmentation Application	15
Testing the hypothesis of a nested block covariance matrix structure with applications to medicine and natural sciences	15
Nonequilibrium–diffusion limit of the compressible Euler radiation model in ℝ3	15
Qualitative Properties of Solutions to Nonlocal Infectious SIR Epidemic Models	15
A Variational Formulation of European Option Prices in the 1‐Hypergeometric Stochastic Volatility Model	15
Critical exponent of non‐global solutions for an inhomogeneous pseudo‐parabolic equation with space‐time forcing term	15
Computational methods for periodic systems: Recent developments	15
On the Approximation Properties of Modified Bernstein–Kantorovich Operators and Their Subfamilies	15
Solution of the Boussinesq Problem in a Depth‐Dependent Nonhomogeneous Half‐Space	15
Generalized Taylor Series and Peano Kernel Theorem	15
General Gate Teleportation and the Inner Structure of Its Clifford Hierarchies	15
Issue Information	15
Effective Macroscopic Equations for Biological Fluid and Nutrients' Transport in Vascularized Tumors Growing Via Proliferation and Chemotaxis	15
Existence of exponential attractor to p(x)‐Laplacian via the l‐trajectories method	15
Investigation on the Approximate Controllability of Neutral Hilfer Fractional Differential Inclusion With Infinite Delay and Noninstantaneous Impulses	15
Deep Neural Network Analysis and Optimal Control for a Fractional‐Order Model of HPV and Cervical Cancer	15
Issue Information	15
Dynamical behaviors of a stochastic HIV/AIDS epidemic model with treatment	15
How colored noise shifts the boundaries of oscillatory zones in suspension flows	15
A Heart Chamber Model Using a Capacitance Function Combined With the Navier–Stokes Equations	14
Source term identification of time‐fractional diffusion equation under Robin boundary condition	14
Finite‐time output feedback preview control for linear parameter‐varying systems with input saturation	14
Analysis of an integro‐differential model for bulk continuous crystallization with account of impurity feeding, dissolution/growth of nuclei and removal of product crystals	14
Finite Element Fictitious Domain Method for Elliptic PDEs Over Curved‐Complex Domains	14
An asymptotic consistent couple stress theory for the three‐dimensional free vibration analysis of functionally graded microplates resting on an elastic medium	14
Quasi‐stability and continuity for wave equation with a fractional damping and a small delay	14
Regularity Criteria of Weak Solutions to the 3D Axisymmetric Incompressible Boussinesq Equations in Lorentz Spaces	14
Separability and Estimates for Eigenvalues and Singular Numbers of a Class of Hyperbolic‐Type Differential Operators	14
Disease Transmission on Random Graphs Using Edge‐Based Percolation	14
On multiparametrized integral inequalities via generalized α‐convexity on fractal set	14
Eigenvalue Problems and Time‐Dependent Maxwell‐Stokes System	13
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	13
Explicit decay rate for the Gini index in the repeated averaging model	13
Approximation of three‐dimensional nonlinear wave equations by fundamental solutions and weighted residuals process	13
Stochastic Processes Described by Multidimensional Telegraph Equations	13
Weak solutions for a degenerate phase‐field model via Galerkin approximation	13
Exact traveling wave solutions of the generalized fifth‐order dispersive equation by the improved Fan subequation method	13
Spectral Parameter Power Series for Zakharov‐Shabat Direct and Inverse Scattering Problems	13
New tightness lower and upper bounds for the standard normal distribution function and related functions	13
Some recent finite volume schemes for one and two layers shallow water equations with variable density	13
Multiplicative generalized tube surfaces with multiplicative quaternions algebra	13
A Two‐Step Method for Parameterized Generalized Inverse Eigenvalue Problem	13
On critical exponents for weak solutions to the Cauchy problem for one nonlinear equation with gradient nonlinearity	13
The Mechanism of Chaotic Complexity in High‐Dimensional Linear Third‐Order Partial Differential Equation	13
Application of flatlet oblique multiwavelets to solve the fractional stochastic integro‐differential equation using Galerkin method	13
Existence and Uniqueness of Renormalized Solutions for a Nonlinear p(x)‐Parabolic Problem With Lower Order Term and General Data	13
Residually continuous pullback attractors for stochastic discrete plate equations	13
Relatively exact controllability of fractional stochastic neutral system with two incommensurate constant delays	13
Mollification of Fourier spectral methods with polynomial kernels	13
Parabolic Singular Problems With KPZ‐Nonlinearities and Nonlocal Conditions	13

A Hybrid Integral–Spectral Chebyshev Collocation Method for Solving MHD Jeffery–Hamel Flow of Nanofluid With a Porous Medium	13
Global asymptotic stability and projective lag synchronization for uncertain inertial competitive neural networks	13
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Uniqueness of the potential in conformable Sturm‐Liouville problem	13
Nonlinear Dynamics and Chaos Analysis of Fractional‐Order Nonlinear System From Novel Winding Mechanical Equipment	12
Event‐Triggered Based Fault‐Tolerant Control for Chemical Reactor Model Under Actuator Failures and Deception Attacks	12
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RETRACTION: Artificial Neural Network Approach for Solving Fuzzy Fractional Order Initial Value Problems Under gH‐Differentiability	12
Delay‐Driven Spatial Patterns in a Network‐Organized Vegetation Model With the Finite Soil Carrying Capacity in Semiarid Areas	12
Dynamical behavior of nonclassical diffusion equations with memory and lacking instantaneous damping	12
Existence of nontrivial solutions for a class of poly‐Laplacian system with mixed nonlinearity on graphs	12
Sharp Error Bounds for Weddle's Quadrature via a Novel Twice‐Differentiable Convex Kernel	12
Existence, Uniqueness and Stability of Strictly Positive Entire Solutions to a Fractional Keller‐Segel Model With Time‐Space Dependent Logistic Source	12
A new insight into linguistic pattern analysis based on multilayer hypergraphs for the automatic extraction of text summaries	12
Study on dynamic features and traveling wave solutions of perturbed nonlinear Biswas–Milovic equation combining Kudryashov's law of refractive index	12
Asymptotic behavior for textiles with loose contact	12
Three minimal norm Hermitian solutions of the reduced biquaternion matrix equation EM+M˜F=G	12
Bifurcation Analysis, Chaotic Behavior, Sensitivity Analysis, Stability Analysis, and Exploring Exact Traveling Wave Solutions of M‐Fractional Nonlinear Model	12
Solution of fractional Sawada–Kotera–Ito equation using Caputo and Atangana–Baleanu derivatives	12
Wavelet‐Based L 2‐1 σ Scheme and Its Higher Order Convergence Analysis for Time‐Fractional Option Pric	12
Computational dynamics of a fractional order substance addictions transfer model with Atangana‐Baleanu‐Caputo derivative	12
Bifurcation Analysis of a Fractional‐Order Differential Algebraic Predator‐Prey System	12
Behavioral Cobweb Dynamics With Anticipatory Inventory and Ulam Stability: An Integro‐Differential Approach	12
Calculation of the Magnetic Flux Leakage by a Spheroidal Inclusion in a Ferromagnetic Half‐Space	12
Mathematical modeling and optimal control for COVID‐19 with population behavior	12
On the properties of multidimensional electrostatic oscillations of an electron plasma	12
Generalized Mathematical Model of Infectious Disease During Medicinal Intervention by Employing Fractional Differential Equations	12
Superquadric Motion and Superquadric Hyperbolic Split Quaternion Algebra Via Gielis Formula	12
Neutral Fractional Volterra Delay Integro‐Differential Equation With Variable Coefficients and Weakly‐Singular Kernel: Existence‐Uniqueness, Ulam‐Hyers Stability, Numerical Scheme	12
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	12
A conservative algorithm based on a hybrid block method and tension B‐spline differential quadrature method for Rosenau–KdV–RLW equation	12
Modeling of stratified two‐phase flows with non‐uniform evaporation based on the exact solution of convection equations	12
A Positivity‐Preserving Numerical Method for the Ternary Allen–Cahn Equation	12
Optimal Control Design for Analysis of Effects of Booster Vaccination on COVID‐19 Model	12
Results on the existence and approximate controllability of neutral‐type delay integro‐differential system with noninstantaneous impulse	12
Sharp estimates of solution of an elliptic problem on a family of open non‐convex planar sectors	12
Behavior of an exponential difference equations system	11
Singularities in Finite Time of a Two‐Component Peakon System With Cubic Nonlinearity	11
Hopf bifurcation in time‐delayed gene expression model with dimers	11
Study on Composition Operators Connected With the Laguerre Polynomials	11
The boundary integral equation describing a curvilinear solid/liquid interface with nonlinear phase transition temperature	11
On stable solutions of a weighted elliptic equation involving the fractional Laplacian	11
Local existence of compressible magnetohydrodynamic equations without initial compatibility conditions	11
A Tight Wavelet Frames‐Based Method for Numerically Solving Fractional Riccati Differential Equations	11
Mass lumping of stable generalized finite element methods for parabolic interface problems	11
Remarks on Semilinear σ‐Evolution Equations With Critical Damping and Critical Nonlinearity of Derivative Type	11
Convergence to diffusion waves for solutions of 1D Keller–Segel model	11
Streamline diffusion finite element method for a singularly perturbed problem with an interior layer on Shishkin mesh	11
Bifurcation type phenomena for positive solutions of a class of impulsive differential equations	11
Approximation by α‐Chlodowsky–Durrmeyer Operators	11
Mathematical Analysis on the SIS Reaction‐Diffusion Model With Logistic Source and Mass Action Incidence	11
Smooth Solution in an N‐Dimensional Chemotaxis Model With Intraguild Predation	11
An application of Lobatto–Chebyshev method to a nonhomogeneous plane problem with two cracks	11
Noncanonical Emden–Fowler neutral differential equations: New criteria for oscillation	11
Infinitely Many Time‐Periodic Solutions for the Beam Equation With Concave–Convex Nonlinearities	11
	11
Reduced‐quaternion inframonogenic functions on the ball	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
An analytical method for free vibration analysis of multi‐directional functionally graded porous doubly‐curved shells in thermal environment with various boundary conditions	11
Nonexistence of solutions to quasilinear Schrödinger equations with a parameter	11
Phase‐space analysis of the anisotropies in Weyl integrable spacetime: Kantowski–Sachs cosmology	11
A high‐order numerical technique for generalized time‐fractional Fisher's equation	11
Modeling HIV Infection With Density‐Dependent Diffusion: The Role of Immune Evasion and CTL‐Mediated Immunity	11
Reiterated homogenization of elliptic systems with Neumann boundary conditions	11
Multiple weak solutions for pi(x)‐Kirchhoff‐type quasilinear elliptic systems	11
On Bounds for Norms of Reparameterized ReLU Artificial Neural Network Parameters: Sums of Fractional Powers of the Lipschitz Norm Control the Network Parameter Vector	11
Global Existence and Decay Rates for Both Isentropic and Nonisentropic 3D Compressible Hall‐Magneto‐Hydrodynamic Equations With Coulomb Force	11
Well‐posedness for a diffusion–reaction compartmental model simulating the spread of COVID‐19	11
A non‐Newtonian perspective on multiplicative Lorentz–Minkowski space ????∗3	11
λ‐spheres as a new reference model for the geoid	11
Convergence analysis of high‐order exponential Rosenbrock methods for nonlinear stiff delay differential equations	11
New Results on a Class of Reaction–Convection–Diffusion Equations Through Potential Symmetry Analysis	10
Chaotic behaviors and stability analysis of pure‐cubic nonlinear Schrödinger equation with full nonlinearity	10
On Sensitivity Analysis of A Nonlinear Mathematical Approach of Alcohol Consumption: A Piecewise Fractional and ANN Approach	10
A novel approach to solving system of integral partial differential equations based on hybrid modified block‐pulse functions	10
On a general degenerate/singular parabolic equation with a nonlocal space term	10
On the energy decay of a viscoelastic piezoelectric beam model with nonlinear internal forcing terms and a nonlinear feedback	10
Two‐scale computational homogenization of calcified hydrogels	10
Solving second‐order differential equations in terms of confluent Heun's functions	10
Analysis of a Mathematical Model of Marital Satisfaction	10
Time delays in a double‐layered radial tumor model with different living cells	10
Symmetries, Bifurcations and Control for Traveling Waves of the Drinfeld‐Sokolov‐Wilson System	10
Loading conditions for self‐organization in the BML model with stochastic direction choice	10
On the Correct Application of Ulam–Hyers Stability to Initial Value Problems for Second‐Order Functional Differential Equations	10
Unveiling Activated NK Cell Dynamics in Salmonella Typhi Infection Under Optimum Double‐Drug (Azithromycin and IFN−γ) Therapy: An Immuno‐Mathematical Model Analysis	10
Modeling the Effect of Contractual Jobs on Unemployment With a Case Study of the Indian Agnipath Scheme	10
Generation of Escher‐like spiral drawings in a modified hyperbolic space	10
On differential equations involving the ψ$$ \psi $$‐shifted fractional operators	10
Determining the order of time and spatial fractional derivatives	10
Regularized Gap Functions and Error Bounds for Split Generalized Mixed Vector Equilibrium Problems on Hadamard Manifolds	10
A numerical study on the non‐smooth solutions of the nonlinear weakly singular fractional Volterra integro‐differential equations	10
Notes on Navier–Stokes Regularity and Energy Conservation	10
Hydrodynamics simulation of red blood cells: Employing a penalty method with double jump composition of lower order time integrator	10
New Integral Inequalities for Special Functions With Applications via Caputo–Fabrizio Fractional Operator	10