Mathematical Methods in the Applied Sciences

Article	Citations
Issue Information	179
Existence of weak solutions for a nonhomogeneous incompressible cell–fluid Navier–Stokes model with chemotaxis	134
Subordinators and Generalized Heat Kernels: Random Time Change and Long Time Dynamics	93
	84
Analytical Solutions and Simulating the Nonlinear Dispersive Waves of the MEW Model Via Two Robust Techniques	62
Doubly Exponential Growth and Decay for a Semilinear Heat Equation With Logarithmic Nonlinearity	59
Uniform exponential stability approximations of semi‐discretization schemes for two hybrid systems	58
Blow‐up for a nonlocal semilinear pseudo‐parabolic p‐Laplacian type equation	56
Multiplicity and concentration of nontrivial solutions for Kirchhoff–Schrödinger–Poisson system with steep potential well	54
Riemann‐Hilbert approach for the integrable discrete Hirota equation with bounded boundary conditions in the presence of a discrete spectrum	52
A nonlocal Kirchhoff diffusion problem with singular potential and logarithmic nonlinearity	50
Bernoulli wavelet least squares support vector regression: Robust numerical method for systems of fractional differential equations	48
Modified marker and cell schemes for Stokes equations with Dirichlet boundary condition	48
Fractional double phase Robin problem involving variable‐order exponents and logarithm‐type nonlinearity	45
A Regret Bound for the AdaMax Algorithm With Image Segmentation Application	44
Geometric and Topological Properties of Fractal Networks	44
	43
Transmission dynamics of visceral leishmaniasis with PKDL and periodic delays	43
Existence and asymptotic behavior of normalized solutions for fourth‐order equations of Kirchhoff type	42
Effect of unfavorable regions on the spreading solution in a diffusion equation	41
Oscillation criterion for Euler type half‐linear difference equations	40
A new representation and shape‐preserving properties of perturbed Bernstein operators	39
An Inverse Source Technique as a Preliminary Tool to Localize Persons in Indoor Spaces	38
Survey of new applications of geometric algebra	38
Normalized Solutions for Kirchhoff Problems With Mixed Nonlinearities and Critical Exponential Growth	37

Zero‐Hopf bifurcation of a cubic jerk system via the third order averaging method	36
Linear differential operators with distribution coefficients of various singularity orders	35
A high‐order and fast scheme with variable time steps for the time‐fractional Black‐Scholes equation	35
The Lifespan of Solutions for a Boussinesq‐Type Model	35
Sufficiency for nephroid starlikeness using hypergeometric functions	35
Optimal Control of Ordinary Fractional‐Order Systems With a Delay in the Phase Variable	35
Sinc method in spectrum completion and inverse Sturm–Liouville problems	34
Atangana–Baleanu–Caputo differential equations with mixed delay terms and integral boundary conditions	32
Gegenbauer wavelet quasi‐linearization method for solving fractional population growth model in a closed system	31
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	29
On Extended Lifespan for 1D Damped Wave Equation	29
A decoupled stabilized finite element method for the time–dependent Navier–Stokes/Biot problem	28
The Role of the Dimension in Uniqueness Results for the Fractional Stationary Quasi‐Geostrophic System	28
Exponential stability of linear systems under a class of Desch–Schappacher perturbations	27
Mathematical analysis of stability and Hopf bifurcation in a delayed HIV infection model with saturated immune response	27
On constrained Kaczmarz algorithm with momentum for image reconstruction	26
Ulam–Hyers stability of pantograph fractional stochastic differential equations	26
On the Riemann problem and interaction of elementary waves for two‐layered blood flow model through arteries	25
A Time‐Fractional Equation With the Gray Level Indicator for Image Multiplicative Noise Removal	25
QGI Algorithm for Solving Quaternion Equation Arising in Image Encryption	25
Analysis of coupled system of q‐fractional Langevin differential equations with q‐fractional integral conditions	24
Global attractors for porous elastic system with memory and nonlinear frictional damping	24
Stability analysis and optimal control of an epidemic model with multidimensional information of media coverage on networks	24
Two‐level multiscale enrichment finite volume method based on the Newton iteration for the stationary incompressible magnetohydrodynamics flow	24
Oscillation Criteria of the Leighton–Wintner‐Type and the Hille–Kneser‐Type for Linear Differential Equations With a Proportional Derivative Controller	24
Further analysis on dynamical properties of fractional‐order bi‐directional associative memory neural networks involving double delays	24
Analytical Solutions to the Cylindrically Symmetric Compressible Euler–Euler System Coupled Through a Drag Force	24
Existence and uniqueness of solutions of differential equations with respect to non‐additive measures	24
A linear quadratic tracking problem for impulsive controlled stochastic systems: The infinite horizon time case	23
Symmetric waves are traveling waves of some shallow water scalar equations	23
On the discrete Safronov–Dubovskiǐ coagulation equations: Well‐posedness, mass conservation, and asymptotic behavior	23
An iterative method for the thermally coupled incompressible magnetohydrodynamics equations at high parameter	23
A blow‐up criterion to a Keller–Segel system coupled with the Euler fluid	23
Necessary and sufficient conditions for mean‐square bounded consensus of multiagent systems with additive noise	22
Nonlinear stability of forced traveling waves for a Lotka–Volterra cooperative model under climate change	22
Three‐dimensional numerical simulation of a laminar fluid flow in an enhanced microchannel with circular protrusions	22
Drag on a semipermeable spherical particle covered by a couple stress fluid	21
Localized wave solutions to the vector nonlinear Schrödinger equation with nonzero backgrounds	21
Approximate solution for a fractional BVP under Ψ‐Riemann–Liouville operators via iterative method and artificial neural networks	21
Existence and Ulam–Hyers stability results for nonlinear fractional Langevin equation with modified argument	20
On the existence of energy‐variational solutions in the context of multidimensional incompressible fluid dynamics	20
Several novel inequalities associated with the Riesz‐type fractional integral operator	20
The 2‐ruled hypersurfaces in Minkowski 4‐space and their constructions via octonions	20
Dynamic analysis and optimal control of influenza model with discrete age structure	20
Modeling the effect of Fangcang shelter hospitals on the control of COVID‐19 epidemic	20
Time‐domain PML analysis of a fluid–solid interaction problem above a rough surface	20
An inertial method for a solution of split equality of monotone inclusion and the f$$ f $$‐fixed point problems in Banach spaces	20
Dynamical complexity of a fractional‐order neural network with nonidentical delays: Stability and bifurcation curves	19
Energy conservation for weak solutions to the pressureless Euler–Navier–Stokes system in three‐dimensional space	19
A mathematical model for precise predicting microbial propagation based on solving variable‐order fractional diffusion equation	19

Global well‐posedness to the compressible inertial Qian–Sheng model of liquid crystals	19
Estimates of Solutions for Integro‐Differential Equations in Epidemiological Modeling	19
Reconstruction Techniques for Inverse Sturm–Liouville Problems With Complex Coefficients	19
A dimension reduction method of two‐grid finite element solution coefficient vectors for the Allen–Cahn equation	19
Runge–Kutta pairs of orders 8(7) with extended stability regions for addressing linear inhomogeneous systems	19
Semigroup theory and analysis of solutions for a higher order non‐Lipschitz problem with advection in RN	19
A projection method based on the piecewise Chebyshev cardinal functions for nonlinear stochastic ABC fractional integro‐differential equations	19
Extreme values of solution of Caputo–Hadamard uncertain fractional differential equation and applications	19
A non‐homogeneous weakly damped Lamé system with time‐dependent delay	18
Global Well‐Posedness and Large‐Time Behavior for Inhomogeneous Incompressible Navier–Stokes System in the Exterior of a Cylinder	18
A mathematical assessment of the isolation random forest method for anomaly detection in big data	18
Optical Solions, Bifurcation Study, and Phase Portraits for the Dual‐Mode Nonlinear SchröDinger Model With Square Root Kerr Law	18
Mathematical analysis of autonomous and non‐autonomous age‐structured reaction‐diffusion‐advection population model	18
New Results for Periodic Discrete Nonlinear SchröDinger Equations	18
On the Stability of Timoshenko System With Foundation From the Classical and Second Spectrum Perspectives	18
Regularity of the semigroups associated with some damped coupled elastic systems II: A nondegenerate fractional damping case	17
ψ$$ \psi $$‐Caputo type time‐delay Langevin equations with two general fractional orders	17
Hyperbolic inverse mean curvature flow with forced term: Evolution of plane curves	17
Reliability modeling and analysis of mixture of exponential distributions using artificial neural network	17
Unveiling the Dynamics of (3+1$$ 3+1 $$) Dimensional q$$ q $$‐Deformed Tanh‐Gordon Equation: A Controlled Picard Approach to Fractional Nonlinear Systems	17
Analysis and Simulation of Fractional Oscillatory Chemical Reaction Equations	17
Global existence and blowup of solutions for nonlinear Love equation	17
Issue Information	17
Boundedness and non‐existence of traveling wave solutions for a four‐compartment lattice epidemic system with exposed class and standard incidence	17
On Existence of Solutions for Nonlocal Boundary Pantograph Problems Under (k,ψ)$$ \left(k,\psi \right) $$‐Riemann‐Liouville Fractional Operators Via Measure of Noncompactness on Infinite Domain	17
New abundant solitary wave structures for a variety of some nonlinear models of surface wave propagation with their geometric interpretations	17
Testing the hypothesis of a nested block covariance matrix structure with applications to medicine and natural sciences	17
Optimality conditions for a Timoshenko beam model	16
Asymptotic analysis of an interior optimal control problem governed by Stokes equations	16
Hopf bifurcation in time‐delayed gene expression model with dimers	16
Study on Composition Operators Connected With the Laguerre Polynomials	16
Three minimal norm Hermitian solutions of the reduced biquaternion matrix equation EM+M˜F=G	16
Nonequilibrium–diffusion limit of the compressible Euler radiation model in ℝ3	16
A conservative algorithm based on a hybrid block method and tension B‐spline differential quadrature method for Rosenau–KdV–RLW equation	16
Disease Transmission on Random Graphs Using Edge‐Based Percolation	16
Generalized Mathematical Model of Infectious Disease During Medicinal Intervention by Employing Fractional Differential Equations	16
Issue Information	16
Quasi‐stability and continuity for wave equation with a fractional damping and a small delay	16
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	16
Eigenvalue Problems and Time‐Dependent Maxwell‐Stokes System	16
Solution of the Boussinesq Problem in a Depth‐Dependent Nonhomogeneous Half‐Space	16
Sharp estimates of solution of an elliptic problem on a family of open non‐convex planar sectors	16
Uniqueness of the potential in conformable Sturm‐Liouville problem	15
A high‐order numerical technique for generalized time‐fractional Fisher's equation	15
Multiplicity results for fractional magnetic problems involving exponential growth	15
Integral representations, monotonic properties, and inequalities on extended central binomial coefficient	15
New tightness lower and upper bounds for the standard normal distribution function and related functions	15
The linear stability for a free boundary problem modeling multilayer tumor growth with time delay	15
Mollification of Fourier spectral methods with polynomial kernels	15
Existence and Uniqueness of Renormalized Solutions for a Nonlinear p(x)‐Parabolic Problem With Lower Order Term and General Data	15
Generalized Taylor Series and Peano Kernel Theorem	15
Effective Macroscopic Equations for Biological Fluid and Nutrients' Transport in Vascularized Tumors Growing Via Proliferation and Chemotaxis	15
Computational methods for periodic systems: Recent developments	15
Dynamic analysis of non‐confocal elliptical lined tunnel under the action of SH wave	15
On the properties of multidimensional electrostatic oscillations of an electron plasma	15
Regularity Criteria of Weak Solutions to the 3D Axisymmetric Incompressible Boussinesq Equations in Lorentz Spaces	15
Multiplicative generalized tube surfaces with multiplicative quaternions algebra	15
Inertial manifolds for the 3D hyperviscous Navier–Stokes equation with L2 force	15
Well posedness and stability result for a microtemperature full von Kármán beam with infinite‐memory and distributed delay terms	15
How colored noise shifts the boundaries of oscillatory zones in suspension flows	15
Some recent finite volume schemes for one and two layers shallow water equations with variable density	15
Finite‐time output feedback preview control for linear parameter‐varying systems with input saturation	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
Weak solution to a Robin problem of anomalous diffusion equations: Uniqueness and stable algorithm for the TPC system	14
Existence of exponential attractor to p(x)‐Laplacian via the l‐trajectories method	14
Modeling of stratified two‐phase flows with non‐uniform evaporation based on the exact solution of convection equations	14
Issue Information	14
Smooth Solution in an N‐Dimensional Chemotaxis Model With Intraguild Predation	14
Global asymptotic stability and projective lag synchronization for uncertain inertial competitive neural networks	14
Dynamical behavior of nonclassical diffusion equations with memory and lacking instantaneous damping	14
Generalized and optimal sequence of weights on a progressive‐iterative approximation method with memory for least square fitting	14
Critical exponent of non‐global solutions for an inhomogeneous pseudo‐parabolic equation with space‐time forcing term	14
On multiparametrized integral inequalities via generalized α‐convexity on fractal set	14
General Gate Teleportation and the Inner Structure of Its Clifford Hierarchies	14
Oriented CW complexes and finite‐dimensional alternative algebras	14
Stability and bifurcation analysis of discrete predator–prey model with nonlinear prey harvesting and prey refuge	14
Study on dynamic features and traveling wave solutions of perturbed nonlinear Biswas–Milovic equation combining Kudryashov's law of refractive index	14
Characterizing digital microstructures by the Minkowski‐based quadratic normal tensor	14
Singular limit of Lamé equations	14
A Variational Formulation of European Option Prices in the 1‐Hypergeometric Stochastic Volatility Model	14

Stochastic Processes Described by Multidimensional Telegraph Equations	14
Application of flatlet oblique multiwavelets to solve the fractional stochastic integro‐differential equation using Galerkin method	13
Delay‐Driven Spatial Patterns in a Network‐Organized Vegetation Model With the Finite Soil Carrying Capacity in Semiarid Areas	13
Qualitative Properties of Solutions to Nonlocal Infectious SIR Epidemic Models	13
A new insight into linguistic pattern analysis based on multilayer hypergraphs for the automatic extraction of text summaries	13
Computational dynamics of a fractional order substance addictions transfer model with Atangana‐Baleanu‐Caputo derivative	13
Behavioral Cobweb Dynamics With Anticipatory Inventory and Ulam Stability: An Integro‐Differential Approach	13
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Existence of nontrivial solutions for a class of poly‐Laplacian system with mixed nonlinearity on graphs	13
On critical exponents for weak solutions to the Cauchy problem for one nonlinear equation with gradient nonlinearity	13
Relatively exact controllability of fractional stochastic neutral system with two incommensurate constant delays	13
A Two‐Step Method for Parameterized Generalized Inverse Eigenvalue Problem	13
Nonlinear Dynamics and Chaos Analysis of Fractional‐Order Nonlinear System From Novel Winding Mechanical Equipment	13
Explicit decay rate for the Gini index in the repeated averaging model	13
Mathematical modeling and optimal control for COVID‐19 with population behavior	13
Solution of fractional Sawada–Kotera–Ito equation using Caputo and Atangana–Baleanu derivatives	13
Bifurcation Analysis, Chaotic Behavior, Sensitivity Analysis, Stability Analysis, and Exploring Exact Traveling Wave Solutions of M‐Fractional Nonlinear Model	13
Exact traveling wave solutions of the generalized fifth‐order dispersive equation by the improved Fan subequation method	13
Asymptotic behavior for textiles with loose contact	13
Residually continuous pullback attractors for stochastic discrete plate equations	13
Robust uniform stability criteria for fractional‐order gene regulatory networks with leakage delays	13
A Heart Chamber Model Using a Capacitance Function Combined With the Navier–Stokes Equations	13
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Parabolic Singular Problems With KPZ‐Nonlinearities and Nonlocal Conditions	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
Superquadric Motion and Superquadric Hyperbolic Split Quaternion Algebra Via Gielis Formula	12
Obtaining a representation of the solution of the Cauchy problem for one equation with a fractional derivative and applying it to the equation of forced beam vibrations	12
An asymptotic consistent couple stress theory for the three‐dimensional free vibration analysis of functionally graded microplates resting on an elastic medium	12
Stability analysis for fractional order implicit ψ‐Hilfer differential equations	12
Virtual element method for the Sobolev equations	12
The boundary integral equation describing a curvilinear solid/liquid interface with nonlinear phase transition temperature	12
Effects of ion sizes on Poisson–Nernst–Planck systems with multiple ions	12
Weak solutions for a degenerate phase‐field model via Galerkin approximation	12
Investigation on the Approximate Controllability of Neutral Hilfer Fractional Differential Inclusion With Infinite Delay and Noninstantaneous Impulses	12
Results on the existence and approximate controllability of neutral‐type delay integro‐differential system with noninstantaneous impulse	12
Source term identification of time‐fractional diffusion equation under Robin boundary condition	12
RETRACTION: Artificial Neural Network Approach for Solving Fuzzy Fractional Order Initial Value Problems Under gH‐Differentiability	12
Von Karman swirling flow of an Oldroyd‐B nanofluid with the influence of activation energy	12
Integrating the Probe and Singular Sources Methods: II. the Stokes System	12
Issue Information	12
Dynamical behaviors of a stochastic HIV/AIDS epidemic model with treatment	12
A Hybrid Integral–Spectral Chebyshev Collocation Method for Solving MHD Jeffery–Hamel Flow of Nanofluid With a Porous Medium	12
Approximation of three‐dimensional nonlinear wave equations by fundamental solutions and weighted residuals process	12
Spectral Parameter Power Series for Zakharov‐Shabat Direct and Inverse Scattering Problems	12
New and more dual‐mode solitary wave solutions for the Kraenkel–Manna–Merle system incorporating fractal effects	12
Riemann–Hilbert problem associated with the vector Lakshmanan–Porsezian–Daniel model in the birefringent optical fibers	12
Singularities in Finite Time of a Two‐Component Peakon System With Cubic Nonlinearity	12
A modified Chebyshev–Halley‐type iterative family with memory for solving nonlinear equations and its stability analysis	12
Nonexistence of solutions to quasilinear Schrödinger equations with a parameter	11
Dynamics of nonlinear stochastic operators and associated Markov measures	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
Exponential stability of Rayleigh beam equation on a star‐shaped network with indefinite damping	11
λ‐spheres as a new reference model for the geoid	11
On stable solutions of a weighted elliptic equation involving the fractional Laplacian	11
A single bounded input‐feedback control to the generalized Korteweg–de Vries–Burgers–Kuramoto–Sivashinsky equation	11
Global bifurcation results for some fourth‐order nonlinear eigenvalue problem with a spectral parameter in the boundary condition	11
Existence of steady flows of a viscous incompressible fluid through a profile cascade and their Lr‐regularity	11
Existence of solution for a nonlinear fractional elliptic system at resonance and nonresonance	11
Behavior of an exponential difference equations system	11
Solving second‐order differential equations in terms of confluent Heun's functions	11
Bifurcation type phenomena for positive solutions of a class of impulsive differential equations	11
Uncertainty principles of the fractional Clifford–Fourier transform	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
Noncanonical Emden–Fowler neutral differential equations: New criteria for oscillation	11
Convergence to diffusion waves for solutions of 1D Keller–Segel model	11
Hydrodynamics simulation of red blood cells: Employing a penalty method with double jump composition of lower order time integrator	11
Streamline diffusion finite element method for a singularly perturbed problem with an interior layer on Shishkin mesh	11
Integrating factor‐based time integrators for the Cahn–Hilliard equation	11
On the solution of the distributed optimal control problem with time‐periodic parabolic equations	11
Phase‐space analysis of the anisotropies in Weyl integrable spacetime: Kantowski–Sachs cosmology	11
Well‐posedness for a diffusion–reaction compartmental model simulating the spread of COVID‐19	11
Fitted modifications of Runge–Kutta–Nyström pairs of orders 7(5) for addressing oscillatory problems	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
Reiterated homogenization of elliptic systems with Neumann boundary conditions	11
Spectral analysis and stabilization of one dimensional wave equation with singular potential	11
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Equivalence between invariant measures and statistical solutions for the 2D non‐autonomous magneto‐micropolar fluid equations	10
Stability and bifurcation analysis of delayed tri‐trophic food chain model in poisoned environment with fear effect and additional food	10
The role of convection in the existence of wavefronts for biased movements	10
Existence of ground state solutions for a biharmonic Choquard equation with critical exponential growth in ℝ4	10
On differential equations involving the ψ$$ \psi $$‐shifted fractional operators	10
Efficient Methods for Solving Equilibrium and Fixed‐Point Problems Using Accelerated Viscosity‐Based Approximations	10
Stability Analysis of Split‐Step θ‐Milstein Scheme for Stochastic Delay Integro‐Differential Equations	10
Loading conditions for self‐organization in the BML model with stochastic direction choice	10
Chaotic behaviors and stability analysis of pure‐cubic nonlinear Schrödinger equation with full nonlinearity	10
Third‐Order Differential Subordination and Superordination Results for p‐Valent Analytic Function Involving Fractional Derivative Operator	10
Conservative compact difference scheme based on the scalar auxiliary variable method for the generalized Kawahara equation	10
An analytical method for free vibration analysis of multi‐directional functionally graded porous doubly‐curved shells in thermal environment with various boundary conditions	10
Balancing Polynomial for Solution Nonlinear Stochastic Itô–Volterra Integral Equations	10
Determining the order of time and spatial fractional derivatives	10
Supercloseness in a balanced norm of finite element methods on Shishkin and Bakhvalov–Shishkin rectangular meshes for reaction–diffusion problems	10