Mathematical Methods in the Applied Sciences

Article	Citations
Issue Information	185
Existence of weak solutions for a nonhomogeneous incompressible cell–fluid Navier–Stokes model with chemotaxis	96
	66
Subordinators and Generalized Heat Kernels: Random Time Change and Long Time Dynamics	66
Analytical Solutions and Simulating the Nonlinear Dispersive Waves of the MEW Model Via Two Robust Techniques	59
Uniform exponential stability approximations of semi‐discretization schemes for two hybrid systems	56
Blow‐up for a nonlocal semilinear pseudo‐parabolic p‐Laplacian type equation	54
Riemann‐Hilbert approach for the integrable discrete Hirota equation with bounded boundary conditions in the presence of a discrete spectrum	51
Regularity of the semigroups associated with some damped coupled elastic systems II: A nondegenerate fractional damping case	49
A nonlocal Kirchhoff diffusion problem with singular potential and logarithmic nonlinearity	49
Unveiling the Dynamics of (3+1$$ 3+1 $$) Dimensional q$$ q $$‐Deformed Tanh‐Gordon Equation: A Controlled Picard Approach to Fractional Nonlinear Systems	49
Hyperbolic inverse mean curvature flow with forced term: Evolution of plane curves	46
Modified marker and cell schemes for Stokes equations with Dirichlet boundary condition	45
Geometric and Topological Properties of Fractal Networks	45
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	42
	41
Existence and asymptotic behavior of normalized solutions for fourth‐order equations of Kirchhoff type	40
Transmission dynamics of visceral leishmaniasis with PKDL and periodic delays	40
Zero‐Hopf bifurcation of a cubic jerk system via the third order averaging method	39
The Lifespan of Solutions for a Boussinesq‐Type Model	38
Optimal Control of Ordinary Fractional‐Order Systems With a Delay in the Phase Variable	37
Atangana–Baleanu–Caputo differential equations with mixed delay terms and integral boundary conditions	36
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	35
On Extended Lifespan for 1D Damped Wave Equation	35

The Role of the Dimension in Uniqueness Results for the Fractional Stationary Quasi‐Geostrophic System	35
Exponential stability of linear systems under a class of Desch–Schappacher perturbations	32
A Time‐Fractional Equation With the Gray Level Indicator for Image Multiplicative Noise Removal	32
On constrained Kaczmarz algorithm with momentum for image reconstruction	32
QGI Algorithm for Solving Quaternion Equation Arising in Image Encryption	29
Existence and uniqueness of solutions of differential equations with respect to non‐additive measures	28
On the Riemann problem and interaction of elementary waves for two‐layered blood flow model through arteries	28
Normalized Solutions for Kirchhoff Problems With Mixed Nonlinearities and Critical Exponential Growth	27
Effect of unfavorable regions on the spreading solution in a diffusion equation	27
Dispersion Characteristics of Rayleigh Waves in a Corrugated Nonlocal Fiber‐Reinforced Layer Bonded to a Nonlocal Substrate With Imperfect Interface	27
Further analysis on dynamical properties of fractional‐order bi‐directional associative memory neural networks involving double delays	27
Analysis and Simulation of Fractional Oscillatory Chemical Reaction Equations	26
Mathematical analysis of stability and Hopf bifurcation in a delayed HIV infection model with saturated immune response	25
Global existence and blowup of solutions for nonlinear Love equation	25
Analytical Solutions to the Cylindrically Symmetric Compressible Euler–Euler System Coupled Through a Drag Force	25
A blow‐up criterion to a Keller–Segel system coupled with the Euler fluid	24
An iterative method for the thermally coupled incompressible magnetohydrodynamics equations at high parameter	24
Three‐dimensional numerical simulation of a laminar fluid flow in an enhanced microchannel with circular protrusions	24
On the discrete Safronov–Dubovskiǐ coagulation equations: Well‐posedness, mass conservation, and asymptotic behavior	24
Nonlinear stability of forced traveling waves for a Lotka–Volterra cooperative model under climate change	24
Drag on a semipermeable spherical particle covered by a couple stress fluid	24
Analysis of coupled system of q‐fractional Langevin differential equations with q‐fractional integral conditions	24
A linear quadratic tracking problem for impulsive controlled stochastic systems: The infinite horizon time case	24
Necessary and sufficient conditions for mean‐square bounded consensus of multiagent systems with additive noise	24
Localized wave solutions to the vector nonlinear Schrödinger equation with nonzero backgrounds	23
Approximate solution for a fractional BVP under Ψ‐Riemann–Liouville operators via iterative method and artificial neural networks	23
Global well‐posedness to the compressible inertial Qian–Sheng model of liquid crystals	21
On the existence of energy‐variational solutions in the context of multidimensional incompressible fluid dynamics	21
The 2‐ruled hypersurfaces in Minkowski 4‐space and their constructions via octonions	21
An inertial method for a solution of split equality of monotone inclusion and the f$$ f $$‐fixed point problems in Banach spaces	21
Time‐domain PML analysis of a fluid–solid interaction problem above a rough surface	21
Several novel inequalities associated with the Riesz‐type fractional integral operator	21
Energy conservation for weak solutions to the pressureless Euler–Navier–Stokes system in three‐dimensional space	20
A mathematical model for precise predicting microbial propagation based on solving variable‐order fractional diffusion equation	20
Runge–Kutta pairs of orders 8(7) with extended stability regions for addressing linear inhomogeneous systems	20
Semigroup theory and analysis of solutions for a higher order non‐Lipschitz problem with advection in RN	20
Extreme values of solution of Caputo–Hadamard uncertain fractional differential equation and applications	20
Dynamical complexity of a fractional‐order neural network with nonidentical delays: Stability and bifurcation curves	20
A projection method based on the piecewise Chebyshev cardinal functions for nonlinear stochastic ABC fractional integro‐differential equations	20
Global Well‐Posedness and Large‐Time Behavior for Inhomogeneous Incompressible Navier–Stokes System in the Exterior of a Cylinder	19
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	19
Oscillation Criteria of the Leighton–Wintner‐Type and the Hille–Kneser‐Type for Linear Differential Equations With a Proportional Derivative Controller	19
Sinc method in spectrum completion and inverse Sturm–Liouville problems	19
Mathematical analysis of autonomous and non‐autonomous age‐structured reaction‐diffusion‐advection population model	19
Oscillation criterion for Euler type half‐linear difference equations	19
Global attractors for porous elastic system with memory and nonlinear frictional damping	19
A dimension reduction method of two‐grid finite element solution coefficient vectors for the Allen–Cahn equation	19
A non‐homogeneous weakly damped Lamé system with time‐dependent delay	19
Stability analysis and optimal control of an epidemic model with multidimensional information of media coverage on networks	19
Modelling and Analysis of a Novel Hepatitis C Virus (HCV) Model Incorporating Awareness Programs	19

Blow‐Up Problem for Porous Medium Equation With Absorption Under Nonlinear Nonlocal Boundary Condition	18
New abundant solitary wave structures for a variety of some nonlinear models of surface wave propagation with their geometric interpretations	18
Multiplicity and concentration of nontrivial solutions for Kirchhoff–Schrödinger–Poisson system with steep potential well	18
Doubly Exponential Growth and Decay for a Semilinear Heat Equation With Logarithmic Nonlinearity	18
Moving Null Curves and Integrability	18
Symmetric waves are traveling waves of some shallow water scalar equations	18
Sufficiency for nephroid starlikeness using hypergeometric functions	18
Ulam–Hyers stability of pantograph fractional stochastic differential equations	17
On the Stability of Timoshenko System With Foundation From the Classical and Second Spectrum Perspectives	17
Modeling the effect of Fangcang shelter hospitals on the control of COVID‐19 epidemic	17
Linear differential operators with distribution coefficients of various singularity orders	17
Survey of new applications of geometric algebra	17
A new representation and shape‐preserving properties of perturbed Bernstein operators	17
Optical Solions, Bifurcation Study, and Phase Portraits for the Dual‐Mode Nonlinear SchröDinger Model With Square Root Kerr Law	17
Boundedness and non‐existence of traveling wave solutions for a four‐compartment lattice epidemic system with exposed class and standard incidence	17
ψ$$ \psi $$‐Caputo type time‐delay Langevin equations with two general fractional orders	17
An Inverse Source Technique as a Preliminary Tool to Localize Persons in Indoor Spaces	17
New Results for Periodic Discrete Nonlinear SchröDinger Equations	17
A high‐order and fast scheme with variable time steps for the time‐fractional Black‐Scholes equation	17
The Source Term Inversion of a Time‐Fractional Black‐Scholes Equation by Fractional Landweber Iterative Regularization Method	16
Dynamic analysis and optimal control of influenza model with discrete age structure	16
Estimates of Solutions for Integro‐Differential Equations in Epidemiological Modeling	16
Hopf bifurcation in time‐delayed gene expression model with dimers	16
Asymptotic analysis of an interior optimal control problem governed by Stokes equations	16
Testing the hypothesis of a nested block covariance matrix structure with applications to medicine and natural sciences	16
A decoupled stabilized finite element method for the time–dependent Navier–Stokes/Biot problem	16
Reliability modeling and analysis of mixture of exponential distributions using artificial neural network	16
Reconstruction Techniques for Inverse Sturm–Liouville Problems With Complex Coefficients	16
Eigenvalue Problems and Time‐Dependent Maxwell‐Stokes System	16
Generalized Mathematical Model of Infectious Disease During Medicinal Intervention by Employing Fractional Differential Equations	16
Bernoulli wavelet least squares support vector regression: Robust numerical method for systems of fractional differential equations	16
Two‐level multiscale enrichment finite volume method based on the Newton iteration for the stationary incompressible magnetohydrodynamics flow	16
A mathematical assessment of the isolation random forest method for anomaly detection in big data	16
Issue Information	16
Study on Composition Operators Connected With the Laguerre Polynomials	16
Optimality conditions for a Timoshenko beam model	16
Issue Information	15
Nonequilibrium–diffusion limit of the compressible Euler radiation model in ℝ3	15
Well posedness and stability result for a microtemperature full von Kármán beam with infinite‐memory and distributed delay terms	15
Effective Macroscopic Equations for Biological Fluid and Nutrients' Transport in Vascularized Tumors Growing Via Proliferation and Chemotaxis	15
The linear stability for a free boundary problem modeling multilayer tumor growth with time delay	15
Generalized Taylor Series and Peano Kernel Theorem	15
Solution of the Boussinesq Problem in a Depth‐Dependent Nonhomogeneous Half‐Space	15
Quasi‐stability and continuity for wave equation with a fractional damping and a small delay	15
Regularity Criteria of Weak Solutions to the 3D Axisymmetric Incompressible Boussinesq Equations in Lorentz Spaces	15
Integral representations, monotonic properties, and inequalities on extended central binomial coefficient	15
Inertial manifolds for the 3D hyperviscous Navier–Stokes equation with L2 force	15
Three minimal norm Hermitian solutions of the reduced biquaternion matrix equation EM+M˜F=G	15
Sharp estimates of solution of an elliptic problem on a family of open non‐convex planar sectors	15
Existence and Uniqueness of Renormalized Solutions for a Nonlinear p(x)‐Parabolic Problem With Lower Order Term and General Data	15
Mollification of Fourier spectral methods with polynomial kernels	15
On the properties of multidimensional electrostatic oscillations of an electron plasma	15
Existence of exponential attractor to p(x)‐Laplacian via the l‐trajectories method	14
Computational methods for periodic systems: Recent developments	14
Study on dynamic features and traveling wave solutions of perturbed nonlinear Biswas–Milovic equation combining Kudryashov's law of refractive index	14
Critical exponent of non‐global solutions for an inhomogeneous pseudo‐parabolic equation with space‐time forcing term	14
Issue Information	14
New tightness lower and upper bounds for the standard normal distribution function and related functions	14
Weak solution to a Robin problem of anomalous diffusion equations: Uniqueness and stable algorithm for the TPC system	14
Generalized and optimal sequence of weights on a progressive‐iterative approximation method with memory for least square fitting	14
Oriented CW complexes and finite‐dimensional alternative algebras	14
Wavelet‐Based L2$$ L2 $$‐1σ$$ {1}_{\sigma } $$ Scheme and Its Higher Order Convergence Analysis for Time‐Fractional Option Pricing Model Under Jump‐Diffusion	14
How colored noise shifts the boundaries of oscillatory zones in suspension flows	14
Dynamical behavior of nonclassical diffusion equations with memory and lacking instantaneous damping	14
Modeling of stratified two‐phase flows with non‐uniform evaporation based on the exact solution of convection equations	14
Singular limit of Lamé equations	14
Characterizing digital microstructures by the Minkowski‐based quadratic normal tensor	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	13
Superquadric Motion and Superquadric Hyperbolic Split Quaternion Algebra Via Gielis Formula	13
A Two‐Step Method for Parameterized Generalized Inverse Eigenvalue Problem	13
Application of flatlet oblique multiwavelets to solve the fractional stochastic integro‐differential equation using Galerkin method	13
A Heart Chamber Model Using a Capacitance Function Combined With the Navier–Stokes Equations	13
Smooth Solution in an N‐Dimensional Chemotaxis Model With Intraguild Predation	13
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Investigation on the Approximate Controllability of Neutral Hilfer Fractional Differential Inclusion With Infinite Delay and Noninstantaneous Impulses	13
Approximation of three‐dimensional nonlinear wave equations by fundamental solutions and weighted residuals process	13
Virtual element method for the Sobolev equations	13
Robust uniform stability criteria for fractional‐order gene regulatory networks with leakage delays	13
Nonlinear Dynamics and Chaos Analysis of Fractional‐Order Nonlinear System From Novel Winding Mechanical Equipment	13
Optimal Control Design for Analysis of Effects of Booster Vaccination on COVID‐19 Model	13

An asymptotic consistent couple stress theory for the three‐dimensional free vibration analysis of functionally graded microplates resting on an elastic medium	13
Behavioral Cobweb Dynamics With Anticipatory Inventory and Ulam Stability: An Integro‐Differential Approach	13
A Hybrid Integral–Spectral Chebyshev Collocation Method for Solving MHD Jeffery–Hamel Flow of Nanofluid With a Porous Medium	13
Source term identification of time‐fractional diffusion equation under Robin boundary condition	13
Dynamical behaviors of a stochastic HIV/AIDS epidemic model with treatment	13
Exact traveling wave solutions of the generalized fifth‐order dispersive equation by the improved Fan subequation method	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
Stochastic Processes Described by Multidimensional Telegraph Equations	13
Spectral Parameter Power Series for Zakharov‐Shabat Direct and Inverse Scattering Problems	13
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
Delay‐Driven Spatial Patterns in a Network‐Organized Vegetation Model With the Finite Soil Carrying Capacity in Semiarid Areas	12
A high‐order numerical technique for generalized time‐fractional Fisher's equation	12
Explicit decay rate for the Gini index in the repeated averaging model	12
Similarity Solution Using Optimal Classification of Lie Subalgebras for Shock Waves in Rotating Ideal Gas With Heat Conduction and Radiation Heat Flux Under the Impact of Magnetic Field via Lie Group	12
Results on the existence and approximate controllability of neutral‐type delay integro‐differential system with noninstantaneous impulse	12
Computational dynamics of a fractional order substance addictions transfer model with Atangana‐Baleanu‐Caputo derivative	12
Disease Transmission on Random Graphs Using Edge‐Based Percolation	12
Solution of fractional Sawada–Kotera–Ito equation using Caputo and Atangana–Baleanu derivatives	12
Finite‐time output feedback preview control for linear parameter‐varying systems with input saturation	12
Parabolic Singular Problems With KPZ‐Nonlinearities and Nonlocal Conditions	12
General Gate Teleportation and the Inner Structure of Its Clifford Hierarchies	12
Qualitative Properties of Solutions to Nonlocal Infectious SIR Epidemic Models	12
Asymptotic behavior for textiles with loose contact	12
RETRACTION: Artificial Neural Network Approach for Solving Fuzzy Fractional Order Initial Value Problems Under gH‐Differentiability	12
A Variational Formulation of European Option Prices in the 1‐Hypergeometric Stochastic Volatility Model	12
Mathematical modeling and optimal control for COVID‐19 with population behavior	12
On multiparametrized integral inequalities via generalized α‐convexity on fractal set	12
Uniqueness of the potential in conformable Sturm‐Liouville problem	12
A new insight into linguistic pattern analysis based on multilayer hypergraphs for the automatic extraction of text summaries	12
Sharp Error Bounds for Weddle's Quadrature via a Novel Twice‐Differentiable Convex Kernel	12
Global asymptotic stability and projective lag synchronization for uncertain inertial competitive neural networks	12
Relatively exact controllability of fractional stochastic neutral system with two incommensurate constant delays	12
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Weak solutions for a degenerate phase‐field model via Galerkin approximation	12
Reiterated homogenization of elliptic systems with Neumann boundary conditions	11
On stable solutions of a weighted elliptic equation involving the fractional Laplacian	11
Lie group of invariance technique for analyzing propagation of strong shock wave in a rotating non‐ideal gas with azimuthal magnetic field	11
Well‐posedness for a diffusion–reaction compartmental model simulating the spread of COVID‐19	11
Streamline diffusion finite element method for a singularly perturbed problem with an interior layer on Shishkin mesh	11
Bifurcation type phenomena for positive solutions of a class of impulsive differential equations	11
Effects of ion sizes on Poisson–Nernst–Planck systems with multiple ions	11
On critical exponents for weak solutions to the Cauchy problem for one nonlinear equation with gradient nonlinearity	11
Residually continuous pullback attractors for stochastic discrete plate equations	11
The Mechanism of Chaotic Complexity in High‐Dimensional Linear Third‐Order Partial Differential Equation	11
Integrating factor‐based time integrators for the Cahn–Hilliard equation	11
Convergence to diffusion waves for solutions of 1D Keller–Segel model	11
Noncanonical Emden–Fowler neutral differential equations: New criteria for oscillation	11
Global bifurcation results for some fourth‐order nonlinear eigenvalue problem with a spectral parameter in the boundary condition	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
Integrating the Probe and Singular Sources Methods: II. the Stokes System	11
On the Cauchy problem for a four‐component Novikov system with peaked solutions	11
Phase‐space analysis of the anisotropies in Weyl integrable spacetime: Kantowski–Sachs cosmology	11
Singularities in Finite Time of a Two‐Component Peakon System With Cubic Nonlinearity	11
Bifurcation Analysis, Chaotic Behavior, Sensitivity Analysis, Stability Analysis, and Exploring Exact Traveling Wave Solutions of M‐Fractional Nonlinear Model	11
Multiplicative generalized tube surfaces with multiplicative quaternions algebra	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
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
Hydrodynamics simulation of red blood cells: Employing a penalty method with double jump composition of lower order time integrator	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
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
The boundary integral equation describing a curvilinear solid/liquid interface with nonlinear phase transition temperature	11
A conservative algorithm based on a hybrid block method and tension B‐spline differential quadrature method for Rosenau–KdV–RLW equation	11
Existence of nontrivial solutions for a class of poly‐Laplacian system with mixed nonlinearity on graphs	11
Some recent finite volume schemes for one and two layers shallow water equations with variable density	11
Nonexistence of solutions to quasilinear Schrödinger equations with a parameter	11
Behavior of an exponential difference equations system	11
Regularity of the attractor for a fractional Klein‐Gordon‐Schrödinger system with cubic nonlinearities	10
On differential equations involving the ψ$$ \psi $$‐shifted fractional operators	10
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Balancing Polynomial for Solution Nonlinear Stochastic Itô–Volterra Integral Equations	10
Stability and bifurcation analysis of delayed tri‐trophic food chain model in poisoned environment with fear effect and additional food	10
On the calculation of the discrete spectra of one‐dimensional Dirac operators	10
A repertoire of repulsive Keller–Segel models with logarithmic sensitivity: Derivation, traveling waves, and quasi‐stationary dynamics	10
Rational solutions of multi‐component nonlinear Schrödinger equation and complex modified KdV equation	10
Local existence of compressible magnetohydrodynamic equations without initial compatibility conditions	10
Bifurcation, Chaos, Multistability, Sensitivity, and Dynamic Properties to the Third Fractional WBBM Equation	10
Reduced‐quaternion inframonogenic functions on the ball	10
A single bounded input‐feedback control to the generalized Korteweg–de Vries–Burgers–Kuramoto–Sivashinsky equation	10
Generation of Escher‐like spiral drawings in a modified hyperbolic space	10
New fractional integral formulas and kinetic model associated with the hypergeometric superhyperbolic sine function	10
Establishment and Analysis of a Brucellosis Model Based on Detection Behavior and Patches	10
The role of convection in the existence of wavefronts for biased movements	10
Conservative compact difference scheme based on the scalar auxiliary variable method for the generalized Kawahara equation	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
Positive solutions for a fractional configuration of the Riemann‐Liouville semilinear differential equation	10
A Study of α$$ \alpha $$‐Hyperholomorphic Functions in the Framework of Clifford Analysis	10
A non‐Newtonian perspective on multiplicative Lorentz–Minkowski space ????∗3	10
Notes on Navier–Stokes Regularity and Energy Conservation	10