Mathematical Methods in the Applied Sciences

Article	Citations
Existence of weak solutions for a nonhomogeneous incompressible cell–fluid Navier–Stokes model with chemotaxis	200
	133
Subordinators and Generalized Heat Kernels: Random Time Change and Long Time Dynamics	124
Issue Information	91
Blow‐up for a nonlocal semilinear pseudo‐parabolic p‐Laplacian type equation	86
Uniform exponential stability approximations of semi‐discretization schemes for two hybrid systems	61
Zero‐Hopf bifurcation of a cubic jerk system via the third order averaging method	58
Multiplicity and concentration of nontrivial solutions for Kirchhoff–Schrödinger–Poisson system with steep potential well	56
A nonlocal Kirchhoff diffusion problem with singular potential and logarithmic nonlinearity	54
Riemann‐Hilbert approach for the integrable discrete Hirota equation with bounded boundary conditions in the presence of a discrete spectrum	54
Gegenbauer wavelet quasi‐linearization method for solving fractional population growth model in a closed system	53
Sufficiency for nephroid starlikeness using hypergeometric functions	52
Analytical Solutions and Simulating the Nonlinear Dispersive Waves of the MEW Model Via Two Robust Techniques	48
Optical Solions, Bifurcation Study, and Phase Portraits for the Dual‐Mode Nonlinear SchröDinger Model With Square Root Kerr Law	46
The Lifespan of Solutions for a Boussinesq‐Type Model	44
Doubly Exponential Growth and Decay for a Semilinear Heat Equation With Logarithmic Nonlinearity	43
Normalized Solutions for Kirchhoff Problems With Mixed Nonlinearities and Critical Exponential Growth	43
Transmission dynamics of visceral leishmaniasis with PKDL and periodic delays	42
Fractional double phase Robin problem involving variable‐order exponents and logarithm‐type nonlinearity	41
Geometric and Topological Properties of Fractal Networks	39
A Regret Bound for the AdaMax Algorithm With Image Segmentation Application	38
A high‐order and fast scheme with variable time steps for the time‐fractional Black‐Scholes equation	38
Modified marker and cell schemes for Stokes equations with Dirichlet boundary condition	37
Reliability modeling and analysis of mixture of exponential distributions using artificial neural network	37
Regularity of the semigroups associated with some damped coupled elastic systems II: A nondegenerate fractional damping case	37

	36
Bernoulli wavelet least squares support vector regression: Robust numerical method for systems of fractional differential equations	36
Effect of unfavorable regions on the spreading solution in a diffusion equation	35
Oscillation criterion for Euler type half‐linear difference equations	35
A mathematical assessment of the isolation random forest method for anomaly detection in big data	35
Further analysis on dynamical properties of fractional‐order bi‐directional associative memory neural networks involving double delays	34
Existence and asymptotic behavior of normalized solutions for fourth‐order equations of Kirchhoff type	34
Reconstruction Techniques for Inverse Sturm–Liouville Problems With Complex Coefficients	34
Estimates of Solutions for Integro‐Differential Equations in Epidemiological Modeling	32
Semigroup theory and analysis of solutions for a higher order non‐Lipschitz problem with advection in RN	31
Energy conservation for weak solutions to the pressureless Euler–Navier–Stokes system in three‐dimensional space	30
Analytical Solutions to the Cylindrically Symmetric Compressible Euler–Euler System Coupled Through a Drag Force	29
Two‐level multiscale enrichment finite volume method based on the Newton iteration for the stationary incompressible magnetohydrodynamics flow	29
New abundant solitary wave structures for a variety of some nonlinear models of surface wave propagation with their geometric interpretations	28
Hyperbolic inverse mean curvature flow with forced term: Evolution of plane curves	27
Analysis of coupled system of q‐fractional Langevin differential equations with q‐fractional integral conditions	27
Symmetric waves are traveling waves of some shallow water scalar equations	27
A linear quadratic tracking problem for impulsive controlled stochastic systems: The infinite horizon time case	26
On the discrete Safronov–Dubovskiǐ coagulation equations: Well‐posedness, mass conservation, and asymptotic behavior	26
A blow‐up criterion to a Keller–Segel system coupled with the Euler fluid	26
Approximate solution for a fractional BVP under Ψ‐Riemann–Liouville operators via iterative method and artificial neural networks	24
Localized wave solutions to the vector nonlinear Schrödinger equation with nonzero backgrounds	24
Three‐dimensional numerical simulation of a laminar fluid flow in an enhanced microchannel with circular protrusions	24
Nonlinear stability of forced traveling waves for a Lotka–Volterra cooperative model under climate change	24
Temperature and velocity profiles along a singular interface between two immiscible fluids	24
Drag on a semipermeable spherical particle covered by a couple stress fluid	24
Modeling the effect of Fangcang shelter hospitals on the control of COVID‐19 epidemic	24
Necessary and sufficient conditions for mean‐square bounded consensus of multiagent systems with additive noise	24
An iterative method for the thermally coupled incompressible magnetohydrodynamics equations at high parameter	24
High‐order long‐time approximation of (N + 1)‐level systems with near‐resonance control	23
Global attractors for porous elastic system with memory and nonlinear frictional damping	23
Several novel inequalities associated with the Riesz‐type fractional integral operator	23
Dynamic analysis and optimal control of influenza model with discrete age structure	22
An inertial method for a solution of split equality of monotone inclusion and the f$$ f $$‐fixed point problems in Banach spaces	22
On the existence of energy‐variational solutions in the context of multidimensional incompressible fluid dynamics	22
Time‐domain PML analysis of a fluid–solid interaction problem above a rough surface	21
Runge–Kutta pairs of orders 8(7) with extended stability regions for addressing linear inhomogeneous systems	21
The 2‐ruled hypersurfaces in Minkowski 4‐space and their constructions via octonions	21
Global well‐posedness to the compressible inertial Qian–Sheng model of liquid crystals	21
Existence and Ulam–Hyers stability results for nonlinear fractional Langevin equation with modified argument	21
A non‐homogeneous weakly damped Lamé system with time‐dependent delay	20
Extreme values of solution of Caputo–Hadamard uncertain fractional differential equation and applications	20
A projection method based on the piecewise Chebyshev cardinal functions for nonlinear stochastic ABC fractional integro‐differential equations	20
Dynamical complexity of a fractional‐order neural network with nonidentical delays: Stability and bifurcation curves	20
Mathematical analysis of autonomous and non‐autonomous age‐structured reaction‐diffusion‐advection population model	19
Analysis and Simulation of Fractional Oscillatory Chemical Reaction Equations	19
A semi‐analytical approach for fractional order Boussinesq equation in a gradient unconfined aquifers	19
On Extended Lifespan for 1D Damped Wave Equation	19
A mathematical model for precise predicting microbial propagation based on solving variable‐order fractional diffusion equation	19
A dimension reduction method of two‐grid finite element solution coefficient vectors for the Allen–Cahn equation	19

On the Riemann problem and interaction of elementary waves for two‐layered blood flow model through arteries	19
A decoupled stabilized finite element method for the time–dependent Navier–Stokes/Biot problem	19
Linear differential operators with distribution coefficients of various singularity orders	19
Boundedness and non‐existence of traveling wave solutions for a four‐compartment lattice epidemic system with exposed class and standard incidence	19
Global Well‐Posedness and Large‐Time Behavior for Inhomogeneous Incompressible Navier–Stokes System in the Exterior of a Cylinder	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
A machine learning recommender system based on collaborative filtering using Gaussian mixture model clustering	19
Sinc method in spectrum completion and inverse Sturm–Liouville problems	18
QGI Algorithm for Solving Quaternion Equation Arising in Image Encryption	18
ψ$$ \psi $$‐Caputo type time‐delay Langevin equations with two general fractional orders	18
The Role of the Dimension in Uniqueness Results for the Fractional Stationary Quasi‐Geostrophic System	18
New Results for Periodic Discrete Nonlinear SchröDinger Equations	18
Exponential stability of linear systems under a class of Desch–Schappacher perturbations	18
On constrained Kaczmarz algorithm with momentum for image reconstruction	18
Atangana–Baleanu–Caputo differential equations with mixed delay terms and integral boundary conditions	18
A Time‐Fractional Equation With the Gray Level Indicator for Image Multiplicative Noise Removal	18
Mathematical analysis of stability and Hopf bifurcation in a delayed HIV infection model with saturated immune response	18
Survey of new applications of geometric algebra	18
Existence and uniqueness of solutions of differential equations with respect to non‐additive measures	17
Issue Information	17
Multiplicity results for fractional magnetic problems involving exponential growth	17
Stability analysis and optimal control of an epidemic model with multidimensional information of media coverage on networks	17
A new representation and shape‐preserving properties of perturbed Bernstein operators	17
Issue Information	17
Testing the hypothesis of a nested block covariance matrix structure with applications to medicine and natural sciences	17
Oscillation Criteria of the Leighton–Wintner‐Type and the Hille–Kneser‐Type for Linear Differential Equations With a Proportional Derivative Controller	17
Ulam–Hyers stability of pantograph fractional stochastic differential equations	17
Finite‐time output feedback preview control for linear parameter‐varying systems with input saturation	17
Global existence and blowup of solutions for nonlinear Love equation	17
Well posedness and stability result for a microtemperature full von Kármán beam with infinite‐memory and distributed delay terms	16
The linear stability for a free boundary problem modeling multilayer tumor growth with time delay	16
Computational methods for periodic systems: Recent developments	16
Weak solutions for a degenerate phase‐field model via Galerkin approximation	16
On the properties of multidimensional electrostatic oscillations of an electron plasma	16
A new insight into linguistic pattern analysis based on multilayer hypergraphs for the automatic extraction of text summaries	16
Dynamic analysis of non‐confocal elliptical lined tunnel under the action of SH wave	16
Integral representations, monotonic properties, and inequalities on extended central binomial coefficient	16
Dynamical behaviors of a stochastic HIV/AIDS epidemic model with treatment	16
How colored noise shifts the boundaries of oscillatory zones in suspension flows	16
Characterizing digital microstructures by the Minkowski‐based quadratic normal tensor	15
Study on dynamic features and traveling wave solutions of perturbed nonlinear Biswas–Milovic equation combining Kudryashov's law of refractive index	15
Existence of exponential attractor to p(x)‐Laplacian via the l‐trajectories method	15
Stability analysis for fractional order implicit ψ‐Hilfer differential equations	15
A Heart Chamber Model Using a Capacitance Function Combined With the Navier–Stokes Equations	15
A Variational Formulation of European Option Prices in the 1‐Hypergeometric Stochastic Volatility Model	15
Computational dynamics of a fractional order substance addictions transfer model with Atangana‐Baleanu‐Caputo derivative	15
Stability and bifurcation analysis of discrete predator–prey model with nonlinear prey harvesting and prey refuge	15
Generalized and optimal sequence of weights on a progressive‐iterative approximation method with memory for least square fitting	15
Weak solution to a Robin problem of anomalous diffusion equations: Uniqueness and stable algorithm for the TPC system	15
Singular limit of Lamé equations	15
Mathematical modeling and optimal control for COVID‐19 with population behavior	15
Bifurcation Analysis, Chaotic Behavior, Sensitivity Analysis, Stability Analysis, and Exploring Exact Traveling Wave Solutions of M‐Fractional Nonlinear Model	15
General Gate Teleportation and the Inner Structure of Its Clifford Hierarchies	15
Modeling of stratified two‐phase flows with non‐uniform evaporation based on the exact solution of convection equations	15
Dynamical behavior of nonclassical diffusion equations with memory and lacking instantaneous damping	15
Oriented CW complexes and finite‐dimensional alternative algebras	15
Some recent finite volume schemes for one and two layers shallow water equations with variable density	15
Explicit decay rate for the Gini index in the repeated averaging model	15
New tightness lower and upper bounds for the standard normal distribution function and related functions	15
Effective Macroscopic Equations for Biological Fluid and Nutrients' Transport in Vascularized Tumors Growing Via Proliferation and Chemotaxis	15
Critical exponent of non‐global solutions for an inhomogeneous pseudo‐parabolic equation with space‐time forcing term	15
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
New and more dual‐mode solitary wave solutions for the Kraenkel–Manna–Merle system incorporating fractal effects	14
Generalized Taylor Series and Peano Kernel Theorem	14
Sharp estimates of solution of an elliptic problem on a family of open non‐convex planar sectors	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
Superquadric Motion and Superquadric Hyperbolic Split Quaternion Algebra Via Gielis Formula	14
Residually continuous pullback attractors for stochastic discrete plate equations	14
Results on the existence and approximate controllability of neutral‐type delay integro‐differential system with noninstantaneous impulse	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
Nonequilibrium–diffusion limit of the compressible Euler radiation model in ℝ3	14
A conservative algorithm based on a hybrid block method and tension B‐spline differential quadrature method for Rosenau–KdV–RLW equation	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
Exact traveling wave solutions of the generalized fifth‐order dispersive equation by the improved Fan subequation method	14
Issue Information	14
Smooth Solution in an N‐Dimensional Chemotaxis Model With Intraguild Predation	14
Von Karman swirling flow of an Oldroyd‐B nanofluid with the influence of activation energy	13
Virtual element method for the Sobolev equations	13
Solution of the Boussinesq Problem in a Depth‐Dependent Nonhomogeneous Half‐Space	13

Approximation of three‐dimensional nonlinear wave equations by fundamental solutions and weighted residuals process	13
Study on Composition Operators Connected With the Laguerre Polynomials	13
Optimality conditions for a Timoshenko beam model	13
Uniqueness of the potential in conformable Sturm‐Liouville problem	13
Inertial manifolds for the 3D hyperviscous Navier–Stokes equation with L2 force	13
Qualitative Properties of Solutions to Nonlocal Infectious SIR Epidemic Models	13
Asymptotic analysis of an interior optimal control problem governed by Stokes equations	13
A high‐order numerical technique for generalized time‐fractional Fisher's equation	13
Mollification of Fourier spectral methods with polynomial kernels	13
Existence of nontrivial solutions for a class of poly‐Laplacian system with mixed nonlinearity on graphs	13
Application of flatlet oblique multiwavelets to solve the fractional stochastic integro‐differential equation using Galerkin method	13
Investigation on the Approximate Controllability of Neutral Hilfer Fractional Differential Inclusion With Infinite Delay and Noninstantaneous Impulses	13
Eigenvalue Problems and Time‐Dependent Maxwell‐Stokes System	13
Robust uniform stability criteria for fractional‐order gene regulatory networks with leakage delays	13
On multiparametrized integral inequalities via generalized α‐convexity on fractal set	13
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Solution of fractional Sawada–Kotera–Ito equation using Caputo and Atangana–Baleanu derivatives	13
Existence and Uniqueness of Renormalized Solutions for a Nonlinear p(x)‐Parabolic Problem With Lower Order Term and General Data	13
Generalized Mathematical Model of Infectious Disease During Medicinal Intervention by Employing Fractional Differential Equations	13
New criteria for exponential stability of positive switched linear impulsive systems with all modes unstable and its application	13
Source term identification of time‐fractional diffusion equation under Robin boundary condition	13
Multiplicative generalized tube surfaces with multiplicative quaternions algebra	13
Nonlinear Dynamics and Chaos Analysis of Fractional‐Order Nonlinear System From Novel Winding Mechanical Equipment	13
Spectral Parameter Power Series for Zakharov‐Shabat Direct and Inverse Scattering Problems	13
A Two‐Step Method for Parameterized Generalized Inverse Eigenvalue Problem	13
Convergence analysis of high‐order exponential Rosenbrock methods for nonlinear stiff delay differential equations	12
On a general degenerate/singular parabolic equation with a nonlocal space term	12
Equivalence between invariant measures and statistical solutions for the 2D non‐autonomous magneto‐micropolar fluid equations	12
An asymptotic consistent couple stress theory for the three‐dimensional free vibration analysis of functionally graded microplates resting on an elastic medium	12
Separability and Estimates for Eigenvalues and Singular Numbers of a Class of Hyperbolic‐Type Differential Operators	12
Disease Transmission on Random Graphs Using Edge‐Based Percolation	12
Hopf bifurcation in time‐delayed gene expression model with dimers	12
Parabolic Singular Problems With KPZ‐Nonlinearities and Nonlocal Conditions	12
Jacobi spectral method for the fractional reaction–diffusion equation arising in ecology	12
Bifurcation type phenomena for positive solutions of a class of impulsive differential equations	12
Nonexistence of solutions to quasilinear Schrödinger equations with a parameter	12
On Some Spectral Problems for Sturm–Liouville Equation With Operator Coefficients	12
The temperature state of a plane dielectric layer at constant voltage and fixed temperature of one of the surfaces of this layer	12
On critical exponents for weak solutions to the Cauchy problem for one nonlinear equation with gradient nonlinearity	12
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Relatively exact controllability of fractional stochastic neutral system with two incommensurate constant delays	12
Regularity Criteria of Weak Solutions to the 3D Axisymmetric Incompressible Boussinesq Equations in Lorentz Spaces	12
Issue Information	12
Effects of ion sizes on Poisson–Nernst–Planck systems with multiple ions	12
Phase‐space analysis of the anisotropies in Weyl integrable spacetime: Kantowski–Sachs cosmology	12
Impact of strong determination and awareness on substance addictions: A mathematical modeling approach	12
Two‐scale computational homogenization of calcified hydrogels	12
On the solvability of a Dirichlet‐type problem for one equation with variable coefficients	12
Stochastic Processes Described by Multidimensional Telegraph Equations	12
Global asymptotic stability and projective lag synchronization for uncertain inertial competitive neural networks	12
Asymptotic behavior for textiles with loose contact	12
Well‐posedness of diffusion–aggregation equations with bounded kernels and their mean‐field approximations	12
Finite Element Fictitious Domain Method for Elliptic PDEs Over Curved‐Complex Domains	12
On the solution of the distributed optimal control problem with time‐periodic parabolic equations	12
Existence of steady flows of a viscous incompressible fluid through a profile cascade and their Lr‐regularity	11
A mass supercritical and critical Sobolev fractional Schrödinger system	11
On stable solutions of a weighted elliptic equation involving the fractional Laplacian	11
A single bounded input‐feedback control to the generalized Korteweg–de Vries–Burgers–Kuramoto–Sivashinsky equation	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
Dynamics of nonlinear stochastic operators and associated Markov measures	11
Behavior of an exponential difference equations system	11
Global bifurcation results for some fourth‐order nonlinear eigenvalue problem with a spectral parameter in the boundary condition	11
λ‐spheres as a new reference model for the geoid	11
Convergence to diffusion waves for solutions of 1D Keller–Segel model	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
Uncertainty principles of the fractional Clifford–Fourier transform	11
Solving second‐order differential equations in terms of confluent Heun's functions	11
Well‐posedness for a diffusion–reaction compartmental model simulating the spread of COVID‐19	11
On the Cauchy problem for a four‐component Novikov system with peaked solutions	11
Hydrodynamics simulation of red blood cells: Employing a penalty method with double jump composition of lower order time integrator	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
Noncanonical Emden–Fowler neutral differential equations: New criteria for oscillation	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
Integrating factor‐based time integrators for the Cahn–Hilliard equation	11
Spectral analysis and stabilization of one dimensional wave equation with singular potential	11
Reduced‐quaternion inframonogenic functions on the ball	10
Mass lumping of stable generalized finite element methods for parabolic interface problems	10
Remarks on Semilinear σ‐Evolution Equations With Critical Damping and Critical Nonlinearity of Derivative Type	10
Infinitely Many Time‐Periodic Solutions for the Beam Equation With Concave–Convex Nonlinearities	10
A Tight Wavelet Frames‐Based Method for Numerically Solving Fractional Riccati Differential Equations	10
Generation of Escher‐like spiral drawings in a modified hyperbolic space	10
Jacobian‐Free Vectorial Iterative Scheme to Find Simple Several Solutions Simultaneously	10
Global Existence and Decay Rates for Both Isentropic and Nonisentropic 3D Compressible Hall‐Magneto‐Hydrodynamic Equations With Coulomb Force	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
Efficient Methods for Solving Equilibrium and Fixed‐Point Problems Using Accelerated Viscosity‐Based Approximations	10
Besicovitch almost periodic solutions for fractional‐order quaternion‐valued neural networks with discrete and distributed delays	10
Local existence of compressible magnetohydrodynamic equations without initial compatibility conditions	10
The finite difference method for the fourth‐order partial integro‐differential equations with the multi‐term weakly singular kernel	10
Geometric regularity criteria for the Navier–Stokes equations in terms of velocity direction	10
A non‐Newtonian perspective on multiplicative Lorentz–Minkowski space ????∗3	10
New fractional integral formulas and kinetic model associated with the hypergeometric superhyperbolic sine function	10