Mathematical Methods in the Applied Sciences

Article	Citations
Existence of weak solutions for a nonhomogeneous incompressible cell–fluid Navier–Stokes model with chemotaxis	198
	130
Subordinators and Generalized Heat Kernels: Random Time Change and Long Time Dynamics	124
Issue Information	84
Blow‐up for a nonlocal semilinear pseudo‐parabolic p‐Laplacian type equation	81
Existence and asymptotic behavior of normalized solutions for fourth‐order equations of Kirchhoff type	61
Sinc method in spectrum completion and inverse Sturm–Liouville problems	58
Uniform exponential stability approximations of semi‐discretization schemes for two hybrid systems	58
Zero‐Hopf bifurcation of a cubic jerk system via the third order averaging method	53
Multiplicity and concentration of nontrivial solutions for Kirchhoff–Schrödinger–Poisson system with steep potential well	51
Riemann‐Hilbert approach for the integrable discrete Hirota equation with bounded boundary conditions in the presence of a discrete spectrum	50
A nonlocal Kirchhoff diffusion problem with singular potential and logarithmic nonlinearity	49
Sufficiency for nephroid starlikeness using hypergeometric functions	46
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New abundant solitary wave structures for a variety of some nonlinear models of surface wave propagation with their geometric interpretations	43
Effect of unfavorable regions on the spreading solution in a diffusion equation	43
New Results for Periodic Discrete Nonlinear SchröDinger Equations	41
Gegenbauer wavelet quasi‐linearization method for solving fractional population growth model in a closed system	41
Transmission dynamics of visceral leishmaniasis with PKDL and periodic delays	40
Doubly Exponential Growth and Decay for a Semilinear Heat Equation With Logarithmic Nonlinearity	40
Reliability modeling and analysis of mixture of exponential distributions using artificial neural network	39
Extreme values of solution of Caputo–Hadamard uncertain fractional differential equation and applications	38
Mathematical analysis of stability and Hopf bifurcation in a delayed HIV infection model with saturated immune response	37
A non‐homogeneous weakly damped Lamé system with time‐dependent delay	37
A mathematical assessment of the isolation random forest method for anomaly detection in big data	36

Stability analysis and optimal control of an epidemic model with multidimensional information of media coverage on networks	36
Analysis of coupled system of q‐fractional Langevin differential equations with q‐fractional integral conditions	36
A projection method based on the piecewise Chebyshev cardinal functions for nonlinear stochastic ABC fractional integro‐differential equations	36
Hyperbolic inverse mean curvature flow with forced term: Evolution of plane curves	35
Symmetric waves are traveling waves of some shallow water scalar equations	35
A blow‐up criterion to a Keller–Segel system coupled with the Euler fluid	35
A linear quadratic tracking problem for impulsive controlled stochastic systems: The infinite horizon time case	34
On the discrete Safronov–Dubovskiǐ coagulation equations: Well‐posedness, mass conservation, and asymptotic behavior	34
ψ$$ \psi $$‐Caputo type time‐delay Langevin equations with two general fractional orders	32
An iterative method for the thermally coupled incompressible magnetohydrodynamics equations at high parameter	32
Intrinsic square functions and commutators on Morrey‐Herz spaces with variable exponents	31
Nonlinear stability of forced traveling waves for a Lotka–Volterra cooperative model under climate change	31
Modified marker and cell schemes for Stokes equations with Dirichlet boundary condition	31
Necessary and sufficient conditions for mean‐square bounded consensus of multiagent systems with additive noise	29
Drag on a semipermeable spherical particle covered by a couple stress fluid	28
Three‐dimensional numerical simulation of a laminar fluid flow in an enhanced microchannel with circular protrusions	28
Approximate solution for a fractional BVP under Ψ‐Riemann–Liouville operators via iterative method and artificial neural networks	28
Modeling the effect of Fangcang shelter hospitals on the control of COVID‐19 epidemic	27
Localized wave solutions to the vector nonlinear Schrödinger equation with nonzero backgrounds	27
A high‐order and fast scheme with variable time steps for the time‐fractional Black‐Scholes equation	26
Locations of spikes for linearly coupled Schrödinger systems	26
New approach for propagated light with optical solitons by optical fiber in pseudohyperbolic space ℍ02	26
Existence and uniqueness of solutions of differential equations with respect to non‐additive measures	25
Temperature and velocity profiles along a singular interface between two immiscible fluids	25
A dengue fever model with free boundary incorporating the time‐periodicity and spatial‐heterogeneity	25
Global attractors for porous elastic system with memory and nonlinear frictional damping	25
On the existence of energy‐variational solutions in the context of multidimensional incompressible fluid dynamics	24
Several novel inequalities associated with the Riesz‐type fractional integral operator	24
The 2‐ruled hypersurfaces in Minkowski 4‐space and their constructions via octonions	24
Dynamic analysis and optimal control of influenza model with discrete age structure	24
High‐order long‐time approximation of (N + 1)‐level systems with near‐resonance control	24
Time‐domain PML analysis of a fluid–solid interaction problem above a rough surface	24
An inertial method for a solution of split equality of monotone inclusion and the f$$ f $$‐fixed point problems in Banach spaces	24
Regularity of the semigroups associated with some damped coupled elastic systems II: A nondegenerate fractional damping case	23
Runge–Kutta pairs of orders 8(7) with extended stability regions for addressing linear inhomogeneous systems	22
Semigroup theory and analysis of solutions for a higher order non‐Lipschitz problem with advection in RN	22
Existence and Ulam–Hyers stability results for nonlinear fractional Langevin equation with modified argument	22
Energy conservation for weak solutions to the pressureless Euler–Navier–Stokes system in three‐dimensional space	22
Two‐level multiscale enrichment finite volume method based on the Newton iteration for the stationary incompressible magnetohydrodynamics flow	22
Global well‐posedness to the compressible inertial Qian–Sheng model of liquid crystals	22
Dynamical complexity of a fractional‐order neural network with nonidentical delays: Stability and bifurcation curves	22
Estimates of Solutions for Integro‐Differential Equations in Epidemiological Modeling	22
Geometric and Topological Properties of Fractal Networks	21
Analytical Solutions to the Cylindrically Symmetric Compressible Euler–Euler System Coupled Through a Drag Force	21
Fractional double phase Robin problem involving variable‐order exponents and logarithm‐type nonlinearity	21
A Regret Bound for the AdaMax Algorithm With Image Segmentation Application	21
Further analysis on dynamical properties of fractional‐order bi‐directional associative memory neural networks involving double delays	21
Mathematical analysis of autonomous and non‐autonomous age‐structured reaction‐diffusion‐advection population model	20
A dimension reduction method of two‐grid finite element solution coefficient vectors for the Allen–Cahn equation	20
Atangana–Baleanu–Caputo differential equations with mixed delay terms and integral boundary conditions	20

Ulam–Hyers stability of pantograph fractional stochastic differential equations	19
Oscillation criterion for Euler type half‐linear difference equations	19
A semi‐analytical approach for fractional order Boussinesq equation in a gradient unconfined aquifers	19
Global Well‐Posedness and Large‐Time Behavior for Inhomogeneous Incompressible Navier–Stokes System in the Exterior of a Cylinder	19
On the Riemann problem and interaction of elementary waves for two‐layered blood flow model through arteries	19
A new representation and shape‐preserving properties of perturbed Bernstein operators	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 constrained Kaczmarz algorithm with momentum for image reconstruction	18
Boundedness and non‐existence of traveling wave solutions for a four‐compartment lattice epidemic system with exposed class and standard incidence	18
A decoupled stabilized finite element method for the time–dependent Navier–Stokes/Biot problem	18
Exponential stability of linear systems under a class of Desch–Schappacher perturbations	18
Linear differential operators with distribution coefficients of various singularity orders	18
The Lifespan of Solutions for a Boussinesq‐Type Model	18
On boundary exact controllability of one‐dimensional wave equations with weak and strong interior degeneration	18
Global existence and blowup of solutions for nonlinear Love equation	18
Bernoulli wavelet least squares support vector regression: Robust numerical method for systems of fractional differential equations	18
Optical Solions, Bifurcation Study, and Phase Portraits for the Dual‐Mode Nonlinear SchröDinger Model With Square Root Kerr Law	18
QGI Algorithm for Solving Quaternion Equation Arising in Image Encryption	18
Analysis and Simulation of Fractional Oscillatory Chemical Reaction Equations	18
On Extended Lifespan for 1D Damped Wave 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
A mathematical model for precise predicting microbial propagation based on solving variable‐order fractional diffusion equation	18
Testing the hypothesis of a nested block covariance matrix structure with applications to medicine and natural sciences	17
The Role of the Dimension in Uniqueness Results for the Fractional Stationary Quasi‐Geostrophic System	17
Survey of new applications of geometric algebra	17
Issue Information	17
A machine learning recommender system based on collaborative filtering using Gaussian mixture model clustering	17
Finite‐time output feedback preview control for linear parameter‐varying systems with input saturation	16
Multiplicity results for fractional magnetic problems involving exponential growth	16
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	16
Issue Information	16
Mollification of Fourier spectral methods with polynomial kernels	16
Integral representations, monotonic properties, and inequalities on extended central binomial coefficient	16
Residually continuous pullback attractors for stochastic discrete plate equations	16
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Weak solutions for a degenerate phase‐field model via Galerkin approximation	16
Well posedness and stability result for a microtemperature full von Kármán beam with infinite‐memory and distributed delay terms	16
Relatively exact controllability of fractional stochastic neutral system with two incommensurate constant delays	16
Dynamical behaviors of a stochastic HIV/AIDS epidemic model with treatment	15
The linear stability for a free boundary problem modeling multilayer tumor growth with time delay	15
Study on dynamic features and traveling wave solutions of perturbed nonlinear Biswas–Milovic equation combining Kudryashov's law of refractive index	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
Existence of exponential attractor to p(x)‐Laplacian via the l‐trajectories method	15
Weak solution to a Robin problem of anomalous diffusion equations: Uniqueness and stable algorithm for the TPC system	15
An asymptotic consistent couple stress theory for the three‐dimensional free vibration analysis of functionally graded microplates resting on an elastic medium	15
How colored noise shifts the boundaries of oscillatory zones in suspension flows	15
On the properties of multidimensional electrostatic oscillations of an electron plasma	15
Dynamical behavior of nonclassical diffusion equations with memory and lacking instantaneous damping	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
Analysis of an integro‐differential model for bulk continuous crystallization with account of impurity feeding, dissolution/growth of nuclei and removal of product crystals	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
A new insight into linguistic pattern analysis based on multilayer hypergraphs for the automatic extraction of text summaries	15
Some recent finite volume schemes for one and two layers shallow water equations with variable density	15
Generalized and optimal sequence of weights on a progressive‐iterative approximation method with memory for least square fitting	15
Asymptotic behavior of a random oscillating nonlinear reactive transport in thin turbulent layers	15
Oriented CW complexes and finite‐dimensional alternative algebras	15
Stability analysis for fractional order implicit ψ‐Hilfer differential equations	15
Dynamic analysis of non‐confocal elliptical lined tunnel under the action of SH wave	15
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Nonequilibrium–diffusion limit of the compressible Euler radiation model in ℝ3	14
Sharp estimates of solution of an elliptic problem on a family of open non‐convex planar sectors	14
Mathematical modeling and optimal control for COVID‐19 with population behavior	14
Inertial manifolds for the 3D hyperviscous Navier–Stokes equation with L2 force	14
Issue Information	14
New tightness lower and upper bounds for the standard normal distribution function and related functions	14
Generalized Taylor Series and Peano Kernel Theorem	14
A Heart Chamber Model Using a Capacitance Function Combined With the Navier–Stokes Equations	14
Robust uniform stability criteria for fractional‐order gene regulatory networks with leakage delays	14
Uniqueness of the potential in conformable Sturm‐Liouville problem	14
Hopf bifurcation in time‐delayed gene expression model with dimers	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
Smooth Solution in an N‐Dimensional Chemotaxis Model With Intraguild Predation	14
Solution of fractional Sawada–Kotera–Ito equation using Caputo and Atangana–Baleanu derivatives	14
Quasi‐stability and continuity for wave equation with a fractional damping and a small delay	14

Spectral Parameter Power Series for Zakharov‐Shabat Direct and Inverse Scattering Problems	13
Superquadric Motion and Superquadric Hyperbolic Split Quaternion Algebra Via Gielis Formula	13
Virtual element method for the Sobolev equations	13
Computational dynamics of a fractional order substance addictions transfer model with Atangana‐Baleanu‐Caputo derivative	13
Disease Transmission on Random Graphs Using Edge‐Based Percolation	13
Global asymptotic stability and projective lag synchronization for uncertain inertial competitive neural networks	13
Stochastic Processes Described by Multidimensional Telegraph Equations	13
A high‐order numerical technique for generalized time‐fractional Fisher's equation	13
Application of flatlet oblique multiwavelets to solve the fractional stochastic integro‐differential equation using Galerkin method	13
Asymptotic behavior for textiles with loose contact	13
Approximation of three‐dimensional nonlinear wave equations by fundamental solutions and weighted residuals process	13
Results on the existence and approximate controllability of neutral‐type delay integro‐differential system with noninstantaneous impulse	13
Study on Composition Operators Connected With the Laguerre Polynomials	13
Finite Element Fictitious Domain Method for Elliptic PDEs Over Curved‐Complex Domains	13
Separability and Estimates for Eigenvalues and Singular Numbers of a Class of Hyperbolic‐Type Differential Operators	13
Existence and Uniqueness of Renormalized Solutions for a Nonlinear p(x)‐Parabolic Problem With Lower Order Term and General Data	13
Investigation on the Approximate Controllability of Neutral Hilfer Fractional Differential Inclusion With Infinite Delay and Noninstantaneous Impulses	13
Von Karman swirling flow of an Oldroyd‐B nanofluid with the influence of activation energy	13
Source term identification of time‐fractional diffusion equation under Robin boundary condition	13
Asymptotic analysis of an interior optimal control problem governed by Stokes equations	13
Eigenvalue Problems and Time‐Dependent Maxwell‐Stokes System	13
Multiplicative generalized tube surfaces with multiplicative quaternions algebra	13
On multiparametrized integral inequalities via generalized α‐convexity on fractal set	13
Regularity Criteria of Weak Solutions to the 3D Axisymmetric Incompressible Boussinesq Equations in Lorentz Spaces	12
Well‐posedness of diffusion–aggregation equations with bounded kernels and their mean‐field approximations	12
On the solution of the distributed optimal control problem with time‐periodic parabolic equations	12
Geometric regularity criteria for the Navier–Stokes equations in terms of velocity direction	12
Convergence analysis of high‐order exponential Rosenbrock methods for nonlinear stiff delay differential equations	12
Phase‐space analysis of the anisotropies in Weyl integrable spacetime: Kantowski–Sachs cosmology	12
Existence of nontrivial solutions for a class of poly‐Laplacian system with mixed nonlinearity on graphs	12
A Two‐Step Method for Parameterized Generalized Inverse Eigenvalue Problem	12
Coverage control of unicycle multi‐agent network in dynamic environment	12
New criteria for exponential stability of positive switched linear impulsive systems with all modes unstable and its application	12
New and more dual‐mode solitary wave solutions for the Kraenkel–Manna–Merle system incorporating fractal effects	12
Exact traveling wave solutions of the generalized fifth‐order dispersive equation by the improved Fan subequation method	12
Bifurcation type phenomena for positive solutions of a class of impulsive differential equations	12
Well‐posedness for a diffusion–reaction compartmental model simulating the spread of COVID‐19	12
Nonexistence of solutions to quasilinear Schrödinger equations with a parameter	12
Issue Information	12
Qualitative Properties of Solutions to Nonlocal Infectious SIR Epidemic Models	12
Generalized Mathematical Model of Infectious Disease During Medicinal Intervention by Employing Fractional Differential Equations	12
Solution of the Boussinesq Problem in a Depth‐Dependent Nonhomogeneous Half‐Space	12
Study on the explicit solutions of the Benney–Luke equation via the variational direct method	12
Nonlinear Dynamics and Chaos Analysis of Fractional‐Order Nonlinear System From Novel Winding Mechanical Equipment	12
On a general degenerate/singular parabolic equation with a nonlocal space term	12
Rational solutions of multi‐component nonlinear Schrödinger equation and complex modified KdV equation	12
Optimal impulse dividend and capital injection model with proportional and fixed transaction costs	12
Effects of ion sizes on Poisson–Nernst–Planck systems with multiple ions	12
Effective Macroscopic Equations for Biological Fluid and Nutrients' Transport in Vascularized Tumors Growing Via Proliferation and Chemotaxis	12
Explicit decay rate for the Gini index in the repeated averaging model	12
Bifurcation Analysis, Chaotic Behavior, Sensitivity Analysis, Stability Analysis, and Exploring Exact Traveling Wave Solutions of M‐Fractional Nonlinear Model	12
Optimality conditions for a Timoshenko beam model	12
Integrating factor‐based time integrators for the Cahn–Hilliard equation	11
Solving second‐order differential equations in terms of confluent Heun's functions	11
Fitted modifications of Runge–Kutta–Nyström pairs of orders 7(5) for addressing oscillatory problems	11
Reduced‐quaternion inframonogenic functions on the ball	11
A single bounded input‐feedback control to the generalized Korteweg–de Vries–Burgers–Kuramoto–Sivashinsky equation	11
Addendum to “On the Riesz potential operator of variable order from variable exponent Morrey space to variable exponent Campanato space”, Math Meth Appl Sci. 2020; 1–8	11
On the Cauchy problem for a four‐component Novikov system with peaked solutions	11
Exponential stability of Rayleigh beam equation on a star‐shaped network with indefinite damping	11
Streamline diffusion finite element method for a singularly perturbed problem with an interior layer on Shishkin mesh	11
Behavior of an exponential difference equations system	11
A new class of inertial algorithms with monotonic step sizes for solving fixed point and variational inequalities	11
On a nonlocal problem for a Caputo time‐fractional pseudoparabolic equation	11
An application of Lobatto–Chebyshev method to a nonhomogeneous plane problem with two cracks	11
Existence of steady flows of a viscous incompressible fluid through a profile cascade and their Lr‐regularity	11
Global bifurcation results for some fourth‐order nonlinear eigenvalue problem with a spectral parameter in the boundary condition	11
Properties of fractional operators with fixed memory length	11
Uncertainty principles of the fractional Clifford–Fourier transform	11
Generation of Escher‐like spiral drawings in a modified hyperbolic space	11
Dynamics of nonlinear stochastic operators and associated Markov measures	11
Existence of a solution to the steady Magnetohydrodynamics‐Boussinesq system with mixed boundary conditions	11
Spectral analysis and stabilization of one dimensional wave equation with singular potential	11
Impact of strong determination and awareness on substance addictions: A mathematical modeling approach	11
Reiterated homogenization of elliptic systems with Neumann boundary conditions	11
Hydrodynamics simulation of red blood cells: Employing a penalty method with double jump composition of lower order time integrator	11
Lie group of invariance technique for analyzing propagation of strong shock wave in a rotating non‐ideal gas with azimuthal magnetic field	11
Existence of solution for a nonlinear fractional elliptic system at resonance and nonresonance	11
Time delays in a double‐layered radial tumor model with different living cells	10
On the energy decay of a viscoelastic piezoelectric beam model with nonlinear internal forcing terms and a nonlinear feedback	10
Dynamical Analysis of a Simple Tumor‐Immune Model With Two‐Stage Lymphocytes	10
Stability Analysis of Split‐Step θ‐Milstein Scheme for Stochastic Delay Integro‐Differential Equations	10
Local existence of compressible magnetohydrodynamic equations without initial compatibility conditions	10
Global solution of spherically symmetric compressible Navier–Stokes equations with bounded density and density‐dependent viscosity	10
Mass lumping of stable generalized finite element methods for parabolic interface problems	10
On the calculation of the discrete spectra of one‐dimensional Dirac operators	10
On “From Halley to Secant: Redefining Root Finding With Memory‐Based Methods Including Convergence and Stability”	10
Balancing Polynomial for Solution Nonlinear Stochastic Itô–Volterra Integral Equations	10
Loading conditions for self‐organization in the BML model with stochastic direction choice	10
Supercloseness in a balanced norm of finite element methods on Shishkin and Bakhvalov–Shishkin rectangular meshes for reaction–diffusion problems	10
On differential equations involving the ψ$$ \psi $$‐shifted fractional operators	10
Regularity of the attractor for a fractional Klein‐Gordon‐Schrödinger system with cubic nonlinearities	10
A repertoire of repulsive Keller–Segel models with logarithmic sensitivity: Derivation, traveling waves, and quasi‐stationary dynamics	10
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Determining the order of time and spatial fractional derivatives	10