Mathematical Methods in the Applied Sciences

Article	Citations
Existence of weak solutions for a nonhomogeneous incompressible cell–fluid Navier–Stokes model with chemotaxis	192
	130
Two‐level multiscale enrichment finite volume method based on the Newton iteration for the stationary incompressible magnetohydrodynamics flow	121
Subordinators and Generalized Heat Kernels: Random Time Change and Long Time Dynamics	84
Issue Information	74
Blow‐up for a nonlocal semilinear pseudo‐parabolic p‐Laplacian type equation	63
Estimates of Solutions for Integro‐Differential Equations in Epidemiological Modeling	57
Existence and asymptotic behavior of normalized solutions for fourth‐order equations of Kirchhoff type	57
Sinc method in spectrum completion and inverse Sturm–Liouville problems	54
Uniform exponential stability approximations of semi‐discretization schemes for two hybrid systems	51
Global existence and blowup of solutions for nonlinear Love equation	48
Zero‐Hopf bifurcation of a cubic jerk system via the third order averaging method	47
Multiplicity and concentration of nontrivial solutions for Kirchhoff–Schrödinger–Poisson system with steep potential well	47
Riemann‐Hilbert approach for the integrable discrete Hirota equation with bounded boundary conditions in the presence of a discrete spectrum	46
A nonlocal Kirchhoff diffusion problem with singular potential and logarithmic nonlinearity	44
	43
Analytical Solutions to the Cylindrically Symmetric Compressible Euler–Euler System Coupled Through a Drag Force	41
New Results for Periodic Discrete Nonlinear SchröDinger Equations	41
Doubly Exponential Growth and Decay for a Semilinear Heat Equation With Logarithmic Nonlinearity	40
On Extended Lifespan for 1D Damped Wave Equation	37
Transmission dynamics of visceral leishmaniasis with PKDL and periodic delays	37
Analysis and Simulation of Fractional Oscillatory Chemical Reaction Equations	37
Effect of unfavorable regions on the spreading solution in a diffusion equation	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	36
Analysis of coupled system of q‐fractional Langevin differential equations with q‐fractional integral conditions	35

Linear differential operators with distribution coefficients of various singularity orders	34
Hyperbolic inverse mean curvature flow with forced term: Evolution of plane curves	34
Semigroup theory and analysis of solutions for a higher order non‐Lipschitz problem with advection in ℝN$$ {\mathrm{\mathbb{R}}}^N $$	34
Symmetric waves are traveling waves of some shallow water scalar equations	34
A blow‐up criterion to a Keller–Segel system coupled with the Euler fluid	34
On constrained Kaczmarz algorithm with momentum for image reconstruction	33
Stability analysis and optimal control of an epidemic model with multidimensional information of media coverage on networks	33
A linear quadratic tracking problem for impulsive controlled stochastic systems: The infinite horizon time case	32
On the discrete Safronov–Dubovskiǐ coagulation equations: Well‐posedness, mass conservation, and asymptotic behavior	32
A non‐homogeneous weakly damped Lamé system with time‐dependent delay	31
New abundant solitary wave structures for a variety of some nonlinear models of surface wave propagation with their geometric interpretations	31
State feedback stabilization of generic logic systems via Ledley antecedence solution	30
ψ$$ \psi $$‐Caputo type time‐delay Langevin equations with two general fractional orders	30
A new high‐order accurate conservative finite difference scheme for the coupled nonlinear Schrödinger equations	29
Intrinsic square functions and commutators on Morrey‐Herz spaces with variable exponents	29
An iterative method for the thermally coupled incompressible magnetohydrodynamics equations at high parameter	29
Nonlinear stability of forced traveling waves for a Lotka–Volterra cooperative model under climate change	28
A mathematical model for precise predicting microbial propagation based on solving variable‐order fractional diffusion equation	28
Bernoulli wavelet least squares support vector regression: Robust numerical method for systems of fractional differential equations	28
Modified marker and cell schemes for Stokes equations with Dirichlet boundary condition	28
Approximate solution for a fractional BVP under Ψ‐Riemann–Liouville operators via iterative method and artificial neural networks	26
Drag on a semipermeable spherical particle covered by a couple stress fluid	26
Three‐dimensional numerical simulation of a laminar fluid flow in an enhanced microchannel with circular protrusions	26
Necessary and sufficient conditions for mean‐square bounded consensus of multiagent systems with additive noise	26
Locations of spikes for linearly coupled Schrödinger systems	25
Localized wave solutions to the vector nonlinear Schrödinger equation with nonzero backgrounds	25
On boundary exact controllability of one‐dimensional wave equations with weak and strong interior degeneration	25
New approach for propagated light with optical solitons by optical fiber in pseudohyperbolic space ℍ02	25
A machine learning recommender system based on collaborative filtering using Gaussian mixture model clustering	25
Modeling the effect of Fangcang shelter hospitals on the control of COVID‐19 epidemic	25
A dengue fever model with free boundary incorporating the time‐periodicity and spatial‐heterogeneity	24
A high‐order and fast scheme with variable time steps for the time‐fractional Black‐Scholes equation	24
A mathematical assessment of the isolation random forest method for anomaly detection in big data	24
A semi‐analytical approach for fractional order Boussinesq equation in a gradient unconfined aquifers	24
Temperature and velocity profiles along a singular interface between two immiscible fluids	24
Existence and uniqueness of solutions of differential equations with respect to non‐additive measures	23
Several novel inequalities associated with the Riesz‐type fractional integral operator	23
A new representation and shape‐preserving properties of perturbed Bernstein operators	23
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
The 2‐ruled hypersurfaces in Minkowski 4‐space and their constructions via octonions	22
Dynamic analysis and optimal control of influenza model with discrete age structure	22
Energy conservation for weak solutions to the pressureless Euler–Navier–Stokes system in three‐dimensional space	22
Time‐domain PML analysis of a fluid–solid interaction problem above a rough surface	22
An inertial method for a solution of split equality of monotone inclusion and the f$$ f $$‐fixed point problems in Banach spaces	22
Gegenbauer wavelet quasi‐linearization method for solving fractional population growth model in a closed system	22
On the existence of energy‐variational solutions in the context of multidimensional incompressible fluid dynamics	22
Existence and Ulam–Hyers stability results for nonlinear fractional Langevin equation with modified argument	21
Exponential stability of linear systems under a class of Desch–Schappacher perturbations	21
Regularity of the semigroups associated with some damped coupled elastic systems II: A nondegenerate fractional damping case	21

Global well‐posedness to the compressible inertial Qian–Sheng model of liquid crystals	20
Runge–Kutta pairs of orders 8(7) with extended stability regions for addressing linear inhomogeneous systems	19
Geometric and Topological Properties of Fractal Networks	19
Mathematical analysis of stability and Hopf bifurcation in a delayed HIV infection model with saturated immune response	19
A decoupled stabilized finite element method for the time–dependent Navier–Stokes/Biot problem	19
Fractional double phase Robin problem involving variable‐order exponents and logarithm‐type nonlinearity	19
Dynamical complexity of a fractional‐order neural network with nonidentical delays: Stability and bifurcation curves	19
A Regret Bound for the AdaMax Algorithm With Image Segmentation Application	19
QGI Algorithm for Solving Quaternion Equation Arising in Image Encryption	19
Extreme values of solution of Caputo–Hadamard uncertain fractional differential equation and applications	19
A Time‐Fractional Equation With the Gray Level Indicator for Image Multiplicative Noise Removal	18
A modified variable‐order fractional SIR model to predict the spread of COVID‐19 in India	18
Survey of new applications of geometric algebra	18
Sufficiency for nephroid starlikeness using hypergeometric functions	18
Optical Solions, Bifurcation Study, and Phase Portraits for the Dual‐Mode Nonlinear SchröDinger Model With Square Root Kerr Law	18
A dimension reduction method of two‐grid finite element solution coefficient vectors for the Allen–Cahn equation	18
Atangana–Baleanu–Caputo differential equations with mixed delay terms and integral boundary conditions	18
Mathematical analysis of autonomous and non‐autonomous age‐structured reaction‐diffusion‐advection population model	18
Reliability modeling and analysis of mixture of exponential distributions using artificial neural network	18
Further analysis on dynamical properties of fractional‐order bi‐directional associative memory neural networks involving double delays	18
Global Well‐Posedness and Large‐Time Behavior for Inhomogeneous Incompressible Navier–Stokes System in the Exterior of a Cylinder	17
Testing the hypothesis of a nested block covariance matrix structure with applications to medicine and natural sciences	17
Boundedness and non‐existence of traveling wave solutions for a four‐compartment lattice epidemic system with exposed class and standard incidence	17
Oscillation criterion for Euler type half‐linear difference equations	17
Issue Information	17
A projection method based on the piecewise Chebyshev cardinal functions for nonlinear stochastic ABC fractional integro‐differential equations	17
On the Riemann problem and interaction of elementary waves for two‐layered blood flow model through arteries	17
Issue Information	17
Ulam–Hyers stability of pantograph fractional stochastic differential equations	17
Mollification of Fourier spectral methods with polynomial kernels	16
Von Karman swirling flow of an Oldroyd‐B nanofluid with the influence of activation energy	16
Hopf bifurcation in time‐delayed gene expression model with dimers	16
Well posedness and stability result for a microtemperature full von Kármán beam with infinite‐memory and distributed delay terms	16
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Multiplicity results for fractional magnetic problems involving exponential growth	16
Relatively exact controllability of fractional stochastic neutral system with two incommensurate constant delays	16
Integral representations, monotonic properties, and inequalities on extended central binomial coefficient	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
Bifurcation Analysis, Chaotic Behavior, Sensitivity Analysis, Stability Analysis, and Exploring Exact Traveling Wave Solutions of M‐Fractional Nonlinear Model	16
Weak solutions for a degenerate phase‐field model via Galerkin approximation	16
Finite‐time output feedback preview control for linear parameter‐varying systems with input saturation	16
Optimality conditions for a Timoshenko beam model	16
Source term identification of time‐fractional diffusion equation under Robin boundary condition	16
Dynamical behaviors of a stochastic HIV/AIDS epidemic model with treatment	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
An asymptotic consistent couple stress theory for the three‐dimensional free vibration analysis of functionally graded microplates resting on an elastic medium	15
New and more dual‐mode solitary wave solutions for the Kraenkel–Manna–Merle system incorporating fractal effects	15
On the properties of multidimensional electrostatic oscillations of an electron plasma	15
A new insight into linguistic pattern analysis based on multilayer hypergraphs for the automatic extraction of text summaries	15
Existence of nontrivial solutions for a class of poly‐Laplacian system with mixed nonlinearity on graphs	15
Stability and bifurcation analysis of discrete predator–prey model with nonlinear prey harvesting and prey refuge	15
New criteria for exponential stability of positive switched linear impulsive systems with all modes unstable and its application	15
The linear stability for a free boundary problem modeling multilayer tumor growth with time delay	15
How colored noise shifts the boundaries of oscillatory zones in suspension flows	15
Computational methods for periodic systems: Recent developments	15
Dynamic analysis of non‐confocal elliptical lined tunnel under the action of SH wave	15
Exact traveling wave solutions of the generalized fifth‐order dispersive equation by the improved Fan subequation method	15
Residually continuous pullback attractors for stochastic discrete plate equations	15
Generalized and optimal sequence of weights on a progressive‐iterative approximation method with memory for least square fitting	14
Study on dynamic features and traveling wave solutions of perturbed nonlinear Biswas–Milovic equation combining Kudryashov's law of refractive index	14
Asymptotic behavior for textiles with loose contact	14
Asymptotic behavior of a random oscillating nonlinear reactive transport in thin turbulent layers	14
Modeling of stratified two‐phase flows with non‐uniform evaporation based on the exact solution of convection equations	14
Existence of exponential attractor to p(x)‐Laplacian via the l‐trajectories method	14
Dynamical behavior of nonclassical diffusion equations with memory and lacking instantaneous damping	14
Characterizing digital microstructures by the Minkowski‐based quadratic normal tensor	14
Virtual element method for the Sobolev equations	14
On critical exponents for weak solutions to the Cauchy problem for one nonlinear equation with gradient nonlinearity	14
Asymptotic analysis of an interior optimal control problem governed by Stokes equations	14
Weak solution to a Robin problem of anomalous diffusion equations: Uniqueness and stable algorithm for the TPC system	14
Stability analysis for fractional order implicit ψ‐Hilfer differential equations	14
Coverage control of unicycle multi‐agent network in dynamic environment	14
Approximation of three‐dimensional nonlinear wave equations by fundamental solutions and weighted residuals process	14
A conservative algorithm based on a hybrid block method and tension B‐spline differential quadrature method for Rosenau–KdV–RLW equation	13
Sharp estimates of solution of an elliptic problem on a family of open non‐convex planar sectors	13
Smooth Solution in an N‐Dimensional Chemotaxis Model With Intraguild Predation	13
Probabilistic calibration and short‐term prediction of the prevalence herpes simplex type 2: A transmission dynamics modelling approach	13
Results on the existence and approximate controllability of neutral‐type delay integro‐differential system with noninstantaneous impulse	13
Issue Information	13

Singular limit of Lamé equations	13
Generalized Taylor Series and Peano Kernel Theorem	13
Nonequilibrium–diffusion limit of the compressible Euler radiation model in ℝ3	13
New tightness lower and upper bounds for the standard normal distribution function and related functions	13
Solution of fractional Sawada–Kotera–Ito equation using Caputo and Atangana–Baleanu derivatives	13
Quasi‐stability and continuity for wave equation with a fractional damping and a small delay	13
Critical exponent of non‐global solutions for an inhomogeneous pseudo‐parabolic equation with space‐time forcing term	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	13
Three minimal norm Hermitian solutions of the reduced biquaternion matrix equation EM+M˜F=G	13
A Heart Chamber Model Using a Capacitance Function Combined With the Navier–Stokes Equations	13
Robust uniform stability criteria for fractional‐order gene regulatory networks with leakage delays	13
Inertial manifolds for the 3D hyperviscous Navier–Stokes equation with L2 force	13
Oriented CW complexes and finite‐dimensional alternative algebras	13
Uniqueness of the potential in conformable Sturm‐Liouville problem	12
A Two‐Step Method for Parameterized Generalized Inverse Eigenvalue Problem	12
Multiplicative generalized tube surfaces with multiplicative quaternions algebra	12
Decay estimates of solutions to the N‐species Vlasov–Poisson system with small initial data	12
Existence and Uniqueness of Renormalized Solutions for a Nonlinear p(x)‐Parabolic Problem With Lower Order Term and General Data	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
Study on Composition Operators Connected With the Laguerre Polynomials	12
Results concerning to approximate controllability of non‐densely defined Sobolev‐type Hilfer fractional neutral delay differential system	12
Mathematical modeling and optimal control for COVID‐19 with population behavior	12
Solution of the Boussinesq Problem in a Depth‐Dependent Nonhomogeneous Half‐Space	12
Editorial for special issue “Nonlinear dynamics of phase transitions”	12
Finite Element Fictitious Domain Method for Elliptic PDEs Over Curved‐Complex Domains	12
A high‐order numerical technique for generalized time‐fractional Fisher's equation	12
Jacobian‐Free Vectorial Iterative Scheme to Find Simple Several Solutions Simultaneously	12
Well‐posedness of diffusion–aggregation equations with bounded kernels and their mean‐field approximations	12
Global asymptotic stability and projective lag synchronization for uncertain inertial competitive neural networks	12
Eigenvalue Problems and Time‐Dependent Maxwell‐Stokes System	12
Stochastic Processes Described by Multidimensional Telegraph Equations	12
On multiparametrized integral inequalities via generalized α‐convexity on fractal set	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
Free boundary problem for one‐dimensional compressible Navier–Stokes equations with temperature‐dependent viscosity and heat conductivity	12
Generalized Mathematical Model of Infectious Disease During Medicinal Intervention by Employing Fractional Differential Equations	12
Study on the explicit solutions of the Benney–Luke equation via the variational direct method	12
Effects of ion sizes on Poisson–Nernst–Planck systems with multiple ions	12
Integrating the Probe and Singular Sources Methods: II. the Stokes System	12
Computational dynamics of a fractional order substance addictions transfer model with Atangana‐Baleanu‐Caputo derivative	12
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Application of flatlet oblique multiwavelets to solve the fractional stochastic integro‐differential equation using Galerkin method	12
Positive solutions for a fractional configuration of the Riemann‐Liouville semilinear differential equation	11
A novel approach to solving system of integral partial differential equations based on hybrid modified block‐pulse functions	11
Optimal impulse dividend and capital injection model with proportional and fixed transaction costs	11
Jacobi spectral method for the fractional reaction–diffusion equation arising in ecology	11
Spectral analysis and stabilization of one dimensional wave equation with singular potential	11
Fitted modifications of Runge–Kutta–Nyström pairs of orders 7(5) for addressing oscillatory problems	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
Generation of Escher‐like spiral drawings in a modified hyperbolic space	11
Two‐scale computational homogenization of calcified hydrogels	11
Uncertainty principles of the fractional Clifford–Fourier transform	11
On the solution of the distributed optimal control problem with time‐periodic parabolic equations	11
Rational solutions of multi‐component nonlinear Schrödinger equation and complex modified KdV equation	11
Besicovitch almost periodic solutions for fractional‐order quaternion‐valued neural networks with discrete and distributed delays	11
Convergence analysis of high‐order exponential Rosenbrock methods for nonlinear stiff delay differential equations	11
Dynamics of nonlinear stochastic operators and associated Markov measures	11
Integrating factor‐based time integrators for the Cahn–Hilliard equation	11
Riemann–Hilbert problem associated with the vector Lakshmanan–Porsezian–Daniel model in the birefringent optical fibers	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
General massless field equations for higher spin in dimension 4	11
Well‐posedness for a diffusion–reaction compartmental model simulating the spread of COVID‐19	11
Bifurcation type phenomena for positive solutions of a class of impulsive differential equations	11
Geometric regularity criteria for the Navier–Stokes equations in terms of velocity direction	11
Phase‐space analysis of the anisotropies in Weyl integrable spacetime: Kantowski–Sachs cosmology	11
Mass lumping of stable generalized finite element methods for parabolic interface problems	11
Behavior of an exponential difference equations system	11
Reduced‐quaternion inframonogenic functions on the ball	11
The boundary integral equation describing a curvilinear solid/liquid interface with nonlinear phase transition temperature	11
A new class of inertial algorithms with monotonic step sizes for solving fixed point and variational inequalities	11
Stability and bifurcation analysis of delayed tri‐trophic food chain model in poisoned environment with fear effect and additional food	11
Solving second‐order differential equations in terms of confluent Heun's functions	11
Existence of a solution to the steady Magnetohydrodynamics‐Boussinesq system with mixed boundary conditions	11
On a general degenerate/singular parabolic equation with a nonlocal space term	11
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
Determining the order of time and spatial fractional derivatives	10
Time delays in a double‐layered radial tumor model with different living cells	10
A mass supercritical and critical Sobolev fractional Schrödinger system	10
A numerical study on the non‐smooth solutions of the nonlinear weakly singular fractional Volterra integro‐differential equations	10
Balancing Polynomial for Solution Nonlinear Stochastic Itô–Volterra Integral Equations	10
A non‐Newtonian perspective on multiplicative Lorentz–Minkowski space ????∗3	10
Global solution of spherically symmetric compressible Navier–Stokes equations with bounded density and density‐dependent viscosity	10
Chaotic behaviors and stability analysis of pure‐cubic nonlinear Schrödinger equation with full nonlinearity	10
The temperature state of a plane dielectric layer at constant voltage and fixed temperature of one of the surfaces of this layer	10
Existence of ground state solutions for a biharmonic Choquard equation with critical exponential growth in ℝ4	10
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Loading conditions for self‐organization in the BML model with stochastic direction choice	10
On the solvability of a Dirichlet‐type problem for one equation with variable coefficients	10
Explicit, determinantal, recursive formulas and relations of the Peters polynomials and numbers	10
λ‐spheres as a new reference model for the geoid	10