Mathematical Methods in the Applied Sciences

Article	Citations
Existence of weak solutions for a nonhomogeneous incompressible cell–fluid Navier–Stokes model with chemotaxis	199
	131
Subordinators and Generalized Heat Kernels: Random Time Change and Long Time Dynamics	124
Issue Information	87
Blow‐up for a nonlocal semilinear pseudo‐parabolic p‐Laplacian type equation	85
Uniform exponential stability approximations of semi‐discretization schemes for two hybrid systems	65
Zero‐Hopf bifurcation of a cubic jerk system via the third order averaging method	60
Multiplicity and concentration of nontrivial solutions for Kirchhoff–Schrödinger–Poisson system with steep potential well	58
Riemann‐Hilbert approach for the integrable discrete Hirota equation with bounded boundary conditions in the presence of a discrete spectrum	53
A nonlocal Kirchhoff diffusion problem with singular potential and logarithmic nonlinearity	53
	52
Gegenbauer wavelet quasi‐linearization method for solving fractional population growth model in a closed system	50
New Results for Periodic Discrete Nonlinear SchröDinger Equations	48
Doubly Exponential Growth and Decay for a Semilinear Heat Equation With Logarithmic Nonlinearity	46
Transmission dynamics of visceral leishmaniasis with PKDL and periodic delays	45
Estimates of Solutions for Integro‐Differential Equations in Epidemiological Modeling	43
Energy conservation for weak solutions to the pressureless Euler–Navier–Stokes system in three‐dimensional space	41
Analytical Solutions to the Cylindrically Symmetric Compressible Euler–Euler System Coupled Through a Drag Force	41
Semigroup theory and analysis of solutions for a higher order non‐Lipschitz problem with advection in RN	41
Two‐level multiscale enrichment finite volume method based on the Newton iteration for the stationary incompressible magnetohydrodynamics flow	41
New abundant solitary wave structures for a variety of some nonlinear models of surface wave propagation with their geometric interpretations	39
Hyperbolic inverse mean curvature flow with forced term: Evolution of plane curves	37
Symmetric waves are traveling waves of some shallow water scalar equations	37
A blow‐up criterion to a Keller–Segel system coupled with the Euler fluid	37
Analysis of coupled system of q‐fractional Langevin differential equations with q‐fractional integral conditions	37

A linear quadratic tracking problem for impulsive controlled stochastic systems: The infinite horizon time case	36
On the discrete Safronov–Dubovskiǐ coagulation equations: Well‐posedness, mass conservation, and asymptotic behavior	36
An iterative method for the thermally coupled incompressible magnetohydrodynamics equations at high parameter	36
Nonlinear stability of forced traveling waves for a Lotka–Volterra cooperative model under climate change	35
Necessary and sufficient conditions for mean‐square bounded consensus of multiagent systems with additive noise	35
Modified marker and cell schemes for Stokes equations with Dirichlet boundary condition	35
Three‐dimensional numerical simulation of a laminar fluid flow in an enhanced microchannel with circular protrusions	34
Drag on a semipermeable spherical particle covered by a couple stress fluid	34
Localized wave solutions to the vector nonlinear Schrödinger equation with nonzero backgrounds	32
Approximate solution for a fractional BVP under Ψ‐Riemann–Liouville operators via iterative method and artificial neural networks	32
Modeling the effect of Fangcang shelter hospitals on the control of COVID‐19 epidemic	32
New approach for propagated light with optical solitons by optical fiber in pseudohyperbolic space ℍ02	31
Locations of spikes for linearly coupled Schrödinger systems	29
Temperature and velocity profiles along a singular interface between two immiscible fluids	29
Existence and uniqueness of solutions of differential equations with respect to non‐additive measures	28
A dengue fever model with free boundary incorporating the time‐periodicity and spatial‐heterogeneity	28
Global attractors for porous elastic system with memory and nonlinear frictional damping	28
High‐order long‐time approximation of (N + 1)‐level systems with near‐resonance control	27
Several novel inequalities associated with the Riesz‐type fractional integral operator	27
Dynamic analysis and optimal control of influenza model with discrete age structure	26
An inertial method for a solution of split equality of monotone inclusion and the f$$ f $$‐fixed point problems in Banach spaces	26
On the existence of energy‐variational solutions in the context of multidimensional incompressible fluid dynamics	26
Runge–Kutta pairs of orders 8(7) with extended stability regions for addressing linear inhomogeneous systems	24
Regularity of the semigroups associated with some damped coupled elastic systems II: A nondegenerate fractional damping case	24
Global well‐posedness to the compressible inertial Qian–Sheng model of liquid crystals	24
The 2‐ruled hypersurfaces in Minkowski 4‐space and their constructions via octonions	24
Dynamical complexity of a fractional‐order neural network with nonidentical delays: Stability and bifurcation curves	24
Existence and Ulam–Hyers stability results for nonlinear fractional Langevin equation with modified argument	24
Time‐domain PML analysis of a fluid–solid interaction problem above a rough surface	24
A non‐homogeneous weakly damped Lamé system with time‐dependent delay	23
Extreme values of solution of Caputo–Hadamard uncertain fractional differential equation and applications	23
A projection method based on the piecewise Chebyshev cardinal functions for nonlinear stochastic ABC fractional integro‐differential equations	23
Mathematical analysis of stability and Hopf bifurcation in a delayed HIV infection model with saturated immune response	22
Fractional double phase Robin problem involving variable‐order exponents and logarithm‐type nonlinearity	22
On constrained Kaczmarz algorithm with momentum for image reconstruction	22
A mathematical model for precise predicting microbial propagation based on solving variable‐order fractional diffusion equation	22
Stability analysis and optimal control of an epidemic model with multidimensional information of media coverage on networks	22
Boundedness and non‐existence of traveling wave solutions for a four‐compartment lattice epidemic system with exposed class and standard incidence	22
A Regret Bound for the AdaMax Algorithm With Image Segmentation Application	21
A dimension reduction method of two‐grid finite element solution coefficient vectors for the Allen–Cahn equation	21
Geometric and Topological Properties of Fractal Networks	21
Mathematical analysis of autonomous and non‐autonomous age‐structured reaction‐diffusion‐advection population model	21
Ulam–Hyers stability of pantograph fractional stochastic differential equations	20
A new representation and shape‐preserving properties of perturbed Bernstein operators	20
Global Well‐Posedness and Large‐Time Behavior for Inhomogeneous Incompressible Navier–Stokes System in the Exterior of a Cylinder	20
On the Riemann problem and interaction of elementary waves for two‐layered blood flow model through arteries	20
Atangana–Baleanu–Caputo differential equations with mixed delay terms and integral boundary conditions	20
A semi‐analytical approach for fractional order Boussinesq equation in a gradient unconfined aquifers	19
On boundary exact controllability of one‐dimensional wave equations with weak and strong interior degeneration	19
A decoupled stabilized finite element method for the time–dependent Navier–Stokes/Biot problem	19

Analysis and Simulation of Fractional Oscillatory Chemical Reaction Equations	19
Global existence and blowup of solutions for nonlinear Love equation	19
Linear differential operators with distribution coefficients of various singularity orders	19
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	19
On Extended Lifespan for 1D Damped Wave Equation	19
A machine learning recommender system based on collaborative filtering using Gaussian mixture model clustering	19
Exponential stability of linear systems under a class of Desch–Schappacher perturbations	18
The Lifespan of Solutions for a Boussinesq‐Type Model	18
A high‐order and fast scheme with variable time steps for the time‐fractional Black‐Scholes equation	18
Analytical Solutions and Simulating the Nonlinear Dispersive Waves of the MEW Model Via Two Robust Techniques	18
A Time‐Fractional Equation With the Gray Level Indicator for Image Multiplicative Noise Removal	18
Oscillation criterion for Euler type half‐linear difference equations	18
Effect of unfavorable regions on the spreading solution in a diffusion equation	18
QGI Algorithm for Solving Quaternion Equation Arising in Image Encryption	18
Survey of new applications of geometric algebra	18
Optical Solions, Bifurcation Study, and Phase Portraits for the Dual‐Mode Nonlinear SchröDinger Model With Square Root Kerr Law	18
Further analysis on dynamical properties of fractional‐order bi‐directional associative memory neural networks involving double delays	18
The Role of the Dimension in Uniqueness Results for the Fractional Stationary Quasi‐Geostrophic System	18
Sufficiency for nephroid starlikeness using hypergeometric functions	18
ψ$$ \psi $$‐Caputo type time‐delay Langevin equations with two general fractional orders	17
Bernoulli wavelet least squares support vector regression: Robust numerical method for systems of fractional differential equations	17
Sinc method in spectrum completion and inverse Sturm–Liouville problems	17
Existence and asymptotic behavior of normalized solutions for fourth‐order equations of Kirchhoff type	17
A mathematical assessment of the isolation random forest method for anomaly detection in big data	17
Testing the hypothesis of a nested block covariance matrix structure with applications to medicine and natural sciences	17
Reconstruction Techniques for Inverse Sturm–Liouville Problems With Complex Coefficients	17
Reliability modeling and analysis of mixture of exponential distributions using artificial neural network	17
Normalized Solutions for Kirchhoff Problems With Mixed Nonlinearities and Critical Exponential Growth	17
Mollification of Fourier spectral methods with polynomial kernels	16
Integral representations, monotonic properties, and inequalities on extended central binomial coefficient	16
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Issue Information	16
Well posedness and stability result for a microtemperature full von Kármán beam with infinite‐memory and distributed delay terms	16
Finite‐time output feedback preview control for linear parameter‐varying systems with input saturation	16
Weak solutions for a degenerate phase‐field model via Galerkin approximation	16
Multiplicity results for fractional magnetic problems involving exponential growth	16
Issue Information	16
Dynamic analysis of non‐confocal elliptical lined tunnel under the action of SH wave	15
The linear stability for a free boundary problem modeling multilayer tumor growth with time delay	15
Weak solution to a Robin problem of anomalous diffusion equations: Uniqueness and stable algorithm for the TPC system	15
Generalized and optimal sequence of weights on a progressive‐iterative approximation method with memory for least square fitting	15
On critical exponents for weak solutions to the Cauchy problem for one nonlinear equation with gradient nonlinearity	15
Critical exponent of non‐global solutions for an inhomogeneous pseudo‐parabolic equation with space‐time forcing term	15
Hopf bifurcation in time‐delayed gene expression model with dimers	15
On the properties of multidimensional electrostatic oscillations of an electron plasma	15
An asymptotic consistent couple stress theory for the three‐dimensional free vibration analysis of functionally graded microplates resting on an elastic medium	15
A new insight into linguistic pattern analysis based on multilayer hypergraphs for the automatic extraction of text summaries	15
How colored noise shifts the boundaries of oscillatory zones in suspension flows	15
Existence of exponential attractor to p(x)‐Laplacian via the l‐trajectories method	15
Asymptotic behavior of a random oscillating nonlinear reactive transport in thin turbulent layers	15
Oriented CW complexes and finite‐dimensional alternative algebras	15
Study on dynamic features and traveling wave solutions of perturbed nonlinear Biswas–Milovic equation combining Kudryashov's law of refractive index	15
Stability and bifurcation analysis of discrete predator–prey model with nonlinear prey harvesting and prey refuge	15
Computational methods for periodic systems: Recent developments	15
Dynamical behaviors of a stochastic HIV/AIDS epidemic model with treatment	15
Dynamical behavior of nonclassical diffusion equations with memory and lacking instantaneous damping	15
Characterizing digital microstructures by the Minkowski‐based quadratic normal tensor	15
Modeling of stratified two‐phase flows with non‐uniform evaporation based on the exact solution of convection equations	15
Singular limit of Lamé equations	15
Sharp estimates of solution of an elliptic problem on a family of open non‐convex planar sectors	14
Smooth Solution in an N‐Dimensional Chemotaxis Model With Intraguild Predation	14
Nonequilibrium–diffusion limit of the compressible Euler radiation model in ℝ3	14
General Gate Teleportation and the Inner Structure of Its Clifford Hierarchies	14
Effective Macroscopic Equations for Biological Fluid and Nutrients' Transport in Vascularized Tumors Growing Via Proliferation and Chemotaxis	14
Stability analysis for fractional order implicit ψ‐Hilfer differential equations	14
A conservative algorithm based on a hybrid block method and tension B‐spline differential quadrature method for Rosenau–KdV–RLW equation	14
Three minimal norm Hermitian solutions of the reduced biquaternion matrix equation EM+M˜F=G	14
Quasi‐stability and continuity for wave equation with a fractional damping and a small delay	14
Exact traveling wave solutions of the generalized fifth‐order dispersive equation by the improved Fan subequation method	14
Some recent finite volume schemes for one and two layers shallow water equations with variable density	14
Asymptotic behavior for textiles with loose contact	14
New tightness lower and upper bounds for the standard normal distribution function and related functions	14
A Variational Formulation of European Option Prices in the 1‐Hypergeometric Stochastic Volatility Model	14
Issue Information	14
A Heart Chamber Model Using a Capacitance Function Combined With the Navier–Stokes Equations	14
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	14
Virtual element method for the Sobolev equations	14
Relatively exact controllability of fractional stochastic neutral system with two incommensurate constant delays	14
Explicit decay rate for the Gini index in the repeated averaging model	14
Generalized Taylor Series and Peano Kernel Theorem	14

Superquadric Motion and Superquadric Hyperbolic Split Quaternion Algebra Via Gielis Formula	13
A Two‐Step Method for Parameterized Generalized Inverse Eigenvalue Problem	13
Solution of fractional Sawada–Kotera–Ito equation using Caputo and Atangana–Baleanu derivatives	13
Finite Element Fictitious Domain Method for Elliptic PDEs Over Curved‐Complex Domains	13
Application of flatlet oblique multiwavelets to solve the fractional stochastic integro‐differential equation using Galerkin method	13
Disease Transmission on Random Graphs Using Edge‐Based Percolation	13
Inertial manifolds for the 3D hyperviscous Navier–Stokes equation with L2 force	13
On multiparametrized integral inequalities via generalized α‐convexity on fractal set	13
Nonlinear Dynamics and Chaos Analysis of Fractional‐Order Nonlinear System From Novel Winding Mechanical Equipment	13
Uniqueness of the potential in conformable Sturm‐Liouville problem	13
Separability and Estimates for Eigenvalues and Singular Numbers of a Class of Hyperbolic‐Type Differential Operators	13
Eigenvalue Problems and Time‐Dependent Maxwell‐Stokes System	13
Asymptotic analysis of an interior optimal control problem governed by Stokes equations	13
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Qualitative Properties of Solutions to Nonlocal Infectious SIR Epidemic Models	13
Robust uniform stability criteria for fractional‐order gene regulatory networks with leakage delays	13
Spectral Parameter Power Series for Zakharov‐Shabat Direct and Inverse Scattering Problems	13
Stochastic Processes Described by Multidimensional Telegraph Equations	13
Study on Composition Operators Connected With the Laguerre Polynomials	13
Multiplicative generalized tube surfaces with multiplicative quaternions algebra	13
Computational dynamics of a fractional order substance addictions transfer model with Atangana‐Baleanu‐Caputo derivative	12
New criteria for exponential stability of positive switched linear impulsive systems with all modes unstable and its application	12
Coverage control of unicycle multi‐agent network in dynamic environment	12
Approximation of three‐dimensional nonlinear wave equations by fundamental solutions and weighted residuals process	12
Von Karman swirling flow of an Oldroyd‐B nanofluid with the influence of activation energy	12
Bifurcation Analysis, Chaotic Behavior, Sensitivity Analysis, Stability Analysis, and Exploring Exact Traveling Wave Solutions of M‐Fractional Nonlinear Model	12
Regularity Criteria of Weak Solutions to the 3D Axisymmetric Incompressible Boussinesq Equations in Lorentz Spaces	12
Nonexistence of solutions to quasilinear Schrödinger equations with a parameter	12
Singularities in Finite Time of a Two‐Component Peakon System With Cubic Nonlinearity	12
The boundary integral equation describing a curvilinear solid/liquid interface with nonlinear phase transition temperature	12
New and more dual‐mode solitary wave solutions for the Kraenkel–Manna–Merle system incorporating fractal effects	12
Existence of nontrivial solutions for a class of poly‐Laplacian system with mixed nonlinearity on graphs	12
Solution of the Boussinesq Problem in a Depth‐Dependent Nonhomogeneous Half‐Space	12
Results on the existence and approximate controllability of neutral‐type delay integro‐differential system with noninstantaneous impulse	12
Existence and Uniqueness of Renormalized Solutions for a Nonlinear p(x)‐Parabolic Problem With Lower Order Term and General Data	12
Investigation on the Approximate Controllability of Neutral Hilfer Fractional Differential Inclusion With Infinite Delay and Noninstantaneous Impulses	12
Mathematical modeling and optimal control for COVID‐19 with population behavior	12
Riemann–Hilbert problem associated with the vector Lakshmanan–Porsezian–Daniel model in the birefringent optical fibers	12
Integrating the Probe and Singular Sources Methods: II. the Stokes System	12
Well‐posedness of diffusion–aggregation equations with bounded kernels and their mean‐field approximations	12
Analysis of an integro‐differential model for bulk continuous crystallization with account of impurity feeding, dissolution/growth of nuclei and removal of product crystals	12
Generalized Mathematical Model of Infectious Disease During Medicinal Intervention by Employing Fractional Differential Equations	12
Optimality conditions for a Timoshenko beam model	12
Source term identification of time‐fractional diffusion equation under Robin boundary condition	12
A high‐order numerical technique for generalized time‐fractional Fisher's equation	12
Residually continuous pullback attractors for stochastic discrete plate equations	12
Global asymptotic stability and projective lag synchronization for uncertain inertial competitive neural networks	12
A modified Chebyshev–Halley‐type iterative family with memory for solving nonlinear equations and its stability analysis	12
Effects of ion sizes on Poisson–Nernst–Planck systems with multiple ions	12
Issue Information	12
Fitted modifications of Runge–Kutta–Nyström pairs of orders 7(5) for addressing oscillatory problems	11
Uncertainty principles of the fractional Clifford–Fourier transform	11
Solving second‐order differential equations in terms of confluent Heun's functions	11
On the solution of the distributed optimal control problem with time‐periodic parabolic equations	11
Geometric regularity criteria for the Navier–Stokes equations in terms of velocity direction	11
Dynamics of nonlinear stochastic operators and associated Markov measures	11
Existence of solution for a nonlinear fractional elliptic system at resonance and nonresonance	11
On the Cauchy problem for a four‐component Novikov system with peaked solutions	11
Lie group of invariance technique for analyzing propagation of strong shock wave in a rotating non‐ideal gas with azimuthal magnetic field	11
Streamline diffusion finite element method for a singularly perturbed problem with an interior layer on Shishkin mesh	11
Well‐posedness for a diffusion–reaction compartmental model simulating the spread of COVID‐19	11
Bifurcation type phenomena for positive solutions of a class of impulsive differential equations	11
Phase‐space analysis of the anisotropies in Weyl integrable spacetime: Kantowski–Sachs cosmology	11
Rational solutions of multi‐component nonlinear Schrödinger equation and complex modified KdV equation	11
Generation of Escher‐like spiral drawings in a modified hyperbolic space	11
Reduced‐quaternion inframonogenic functions on the ball	11
Spectral analysis and stabilization of one dimensional wave equation with singular potential	11
Exponential stability of Rayleigh beam equation on a star‐shaped network with indefinite damping	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
Optimal impulse dividend and capital injection model with proportional and fixed transaction costs	11
Integrating factor‐based time integrators for the Cahn–Hilliard equation	11
Behavior of an exponential difference equations system	11
Supercloseness in a balanced norm of finite element methods on Shishkin and Bakhvalov–Shishkin rectangular meshes for reaction–diffusion problems	10
New Results on a Class of Reaction–Convection–Diffusion Equations Through Potential Symmetry Analysis	10
The temperature state of a plane dielectric layer at constant voltage and fixed temperature of one of the surfaces of this layer	10
Jacobi spectral method for the fractional reaction–diffusion equation arising in ecology	10
Balancing Polynomial for Solution Nonlinear Stochastic Itô–Volterra Integral Equations	10
Two‐scale computational homogenization of calcified hydrogels	10
New fractional integral formulas and kinetic model associated with the hypergeometric superhyperbolic sine function	10
Dynamical Analysis of a Simple Tumor‐Immune Model With Two‐Stage Lymphocytes	10
On differential equations involving the ψ$$ \psi $$‐shifted fractional operators	10
Delay differential equations for the spatially resolved simulation of epidemics with specific application to COVID‐19	10
A numerical study on the non‐smooth solutions of the nonlinear weakly singular fractional Volterra integro‐differential equations	10
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Local existence of compressible magnetohydrodynamic equations without initial compatibility conditions	10
Besicovitch almost periodic solutions for fractional‐order quaternion‐valued neural networks with discrete and distributed delays	10
On the energy decay of a viscoelastic piezoelectric beam model with nonlinear internal forcing terms and a nonlinear feedback	10
On “From Halley to Secant: Redefining Root Finding With Memory‐Based Methods Including Convergence and Stability”	10
The role of convection in the existence of wavefronts for biased movements	10
Unveiling Activated NK Cell Dynamics in Salmonella Typhi Infection Under Optimum Double‐Drug (Azithromycin and IFN−γ$$ IFN-\gamma $$) Therapy: An Immuno‐Mathematical Model Analysis	10
Stability Analysis of Split‐Step θ‐Milstein Scheme for Stochastic Delay Integro‐Differential Equations	10
Regularity of the attractor for a fractional Klein‐Gordon‐Schrödinger system with cubic nonlinearities	10
Loading conditions for self‐organization in the BML model with stochastic direction choice	10
A repertoire of repulsive Keller–Segel models with logarithmic sensitivity: Derivation, traveling waves, and quasi‐stationary dynamics	10