Mathematical Methods in the Applied Sciences

Article	Citations
Atangana–Baleanu–Caputo differential equations with mixed delay terms and integral boundary conditions	190
Existence of weak solutions for a nonhomogeneous incompressible cell–fluid Navier–Stokes model with chemotaxis	130
Runge–Kutta pairs of orders 8(7) with extended stability regions for addressing linear inhomogeneous systems	119
	83
Two‐level multiscale enrichment finite volume method based on the Newton iteration for the stationary incompressible magnetohydrodynamics flow	64
Subordinators and Generalized Heat Kernels: Random Time Change and Long Time Dynamics	62
High‐order long‐time approximation of (N + 1)‐level systems with near‐resonance control	56
A dengue fever model with free boundary incorporating the time‐periodicity and spatial‐heterogeneity	56
Analysis of coupled system of q‐fractional Langevin differential equations with q‐fractional integral conditions	50
Effect of unfavorable regions on the spreading solution in a diffusion equation	50
Gegenbauer wavelet quasi‐linearization method for solving fractional population growth model in a closed system	47
On boundary exact controllability of one‐dimensional wave equations with weak and strong interior degeneration	47
Mathematical analysis of stability and Hopf bifurcation in a delayed HIV infection model with saturated immune response	46
Localized wave solutions to the vector nonlinear Schrödinger equation with nonzero backgrounds	45
The singular integro‐differential equations and its applications in the contact problems of elasticity theory	44
Issue Information	44
On coupled nonlinear evolution system of fractional order with a proportional delay	43
New approach for propagated light with optical solitons by optical fiber in pseudohyperbolic space ℍ02	43
Locations of spikes for linearly coupled Schrödinger systems	42
Temperature and velocity profiles along a singular interface between two immiscible fluids	41
Blow‐up for a nonlocal semilinear pseudo‐parabolic p‐Laplacian type equation	40
Drag on a semipermeable spherical particle covered by a couple stress fluid	40
Existence and asymptotic behavior of normalized solutions for fourth‐order equations of Kirchhoff type	40
A machine learning recommender system based on collaborative filtering using Gaussian mixture model clustering	36
Stabilization in a high‐dimensional chemotaxis system involving arbitrary superlinear degradation	36

A mathematical assessment of the isolation random forest method for anomaly detection in big data	36
The 2‐ruled hypersurfaces in Minkowski 4‐space and their constructions via octonions	35
ψ$$ \psi $$‐Caputo type time‐delay Langevin equations with two general fractional orders	35
Modeling the effect of Fangcang shelter hospitals on the control of COVID‐19 epidemic	34
Several novel inequalities associated with the Riesz‐type fractional integral operator	34
Exponential stability of linear systems under a class of Desch–Schappacher perturbations	34
A dimension reduction method of two‐grid finite element solution coefficient vectors for the Allen–Cahn equation	33
Symmetric waves are traveling waves of some shallow water scalar equations	33
Dynamic analysis and optimal control of influenza model with discrete age structure	32
On the discrete Safronov–Dubovskiǐ coagulation equations: Well‐posedness, mass conservation, and asymptotic behavior	32
A projection method based on the piecewise Chebyshev cardinal functions for nonlinear stochastic ABC fractional integro‐differential equations	32
Oscillation criterion for Euler type half‐linear difference equations	31
Bernoulli wavelet least squares support vector regression: Robust numerical method for systems of fractional differential equations	30
Global well‐posedness to the compressible inertial Qian–Sheng model of liquid crystals	30
On the existence of energy‐variational solutions in the context of multidimensional incompressible fluid dynamics	30
Sinc method in spectrum completion and inverse Sturm–Liouville problems	29
Estimates of Solutions for Integro‐Differential Equations in Epidemiological Modeling	29
Uniform exponential stability approximations of semi‐discretization schemes for two hybrid systems	28
Zero‐Hopf bifurcation of a cubic jerk system via the third order averaging method	28
Global existence and blowup of solutions for nonlinear Love equation	28
Multiplicity and concentration of nontrivial solutions for Kirchhoff–Schrödinger–Poisson system with steep potential well	27
Riemann‐Hilbert approach for the integrable discrete Hirota equation with bounded boundary conditions in the presence of a discrete spectrum	27
A high‐order and fast scheme with variable time steps for the time‐fractional Black‐Scholes equation	26
Time‐domain PML analysis of a fluid–solid interaction problem above a rough surface	26
Convective flow of a fractional second grade fluid containing different nanoparticles with Prabhakar fractional derivative subject to non‐uniform velocity at the boundary	26
A nonlocal Kirchhoff diffusion problem with singular potential and logarithmic nonlinearity	26
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Geometric and Topological Properties of Fractal Networks	25
On the Riemann problem and interaction of elementary waves for two‐layered blood flow model through arteries	25
Modified marker and cell schemes for Stokes equations with Dirichlet boundary condition	25
Nonlinear stability of forced traveling waves for a Lotka–Volterra cooperative model under climate change	25
State feedback stabilization of generic logic systems via Ledley antecedence solution	25
Intrinsic square functions and commutators on Morrey‐Herz spaces with variable exponents	24
Analytical Solutions to the Cylindrically Symmetric Compressible Euler–Euler System Coupled Through a Drag Force	24
Stability analysis and optimal control of an epidemic model with multidimensional information of media coverage on networks	24
New Results for Periodic Discrete Nonlinear SchröDinger Equations	24
Hyperbolic inverse mean curvature flow with forced term: Evolution of plane curves	23
Transmission dynamics of visceral leishmaniasis with PKDL and periodic delays	23
Doubly Exponential Growth and Decay for a Semilinear Heat Equation With Logarithmic Nonlinearity	23
Global Well‐Posedness and Large‐Time Behavior for Inhomogeneous Incompressible Navier–Stokes System in the Exterior of a Cylinder	23
A blow‐up criterion to a Keller–Segel system coupled with the Euler fluid	23
Existence and uniqueness of solutions of differential equations with respect to non‐additive measures	23
Dynamical complexity of a fractional‐order neural network with nonidentical delays: Stability and bifurcation curves	22
An inertial method for a solution of split equality of monotone inclusion and the f$$ f $$‐fixed point problems in Banach spaces	22
Regularity of the semigroups associated with some damped coupled elastic systems II: A nondegenerate fractional damping case	22
Boundedness and non‐existence of traveling wave solutions for a four‐compartment lattice epidemic system with exposed class and standard incidence	22
Semigroup theory and analysis of solutions for a higher order non‐Lipschitz problem with advection in ℝN$$ {\mathrm{\mathbb{R}}}^N $$	21
Multiple solutions for asymptotically q‐linear (p, q)‐Laplacian problems	21
Energy conservation for weak solutions to the pressureless Euler–Navier–Stokes system in three‐dimensional space	21
Necessary and sufficient conditions for mean‐square bounded consensus of multiagent systems with additive noise	21

Existence and Ulam–Hyers stability results for nonlinear fractional Langevin equation with modified argument	21
A decoupled stabilized finite element method for the time–dependent Navier–Stokes/Biot problem	21
A linear quadratic tracking problem for impulsive controlled stochastic systems: The infinite horizon time case	20
On constrained Kaczmarz algorithm with momentum for image reconstruction	20
New approximate analytical solutions for the nonlinear fractional Schrödinger equation with second‐order spatio‐temporal dispersion via double Laplace transform method	20
A new high‐order accurate conservative finite difference scheme for the coupled nonlinear Schrödinger equations	20
On Extended Lifespan for 1D Damped Wave Equation	19
A new representation and shape‐preserving properties of perturbed Bernstein operators	19
Ulam–Hyers stability of pantograph fractional stochastic differential equations	19
Three‐dimensional numerical simulation of a laminar fluid flow in an enhanced microchannel with circular protrusions	19
Linear differential operators with distribution coefficients of various singularity orders	19
An iterative method for the thermally coupled incompressible magnetohydrodynamics equations at high parameter	19
Fractional double phase Robin problem involving variable‐order exponents and logarithm‐type nonlinearity	19
Survey of new applications of geometric algebra	19
Sufficiency for nephroid starlikeness using hypergeometric functions	18
Extreme values of solution of Caputo–Hadamard uncertain fractional differential equation and applications	18
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	18
A mathematical model for precise predicting microbial propagation based on solving variable‐order fractional diffusion equation	18
Analysis and Simulation of Fractional Oscillatory Chemical Reaction Equations	18
A non‐homogeneous weakly damped Lamé system with time‐dependent delay	17
Fractional residual series for conformable time‐fractional Sawada–Kotera–Ito, Lax, and Kaup–Kupershmidt equations of seventh order	17
Reliability modeling and analysis of mixture of exponential distributions using artificial neural network	17
Fractional type multivariate neural network operators	17
A modified variable‐order fractional SIR model to predict the spread of COVID‐19 in India	17
New abundant solitary wave structures for a variety of some nonlinear models of surface wave propagation with their geometric interpretations	17
Multiplicative generalized tube surfaces with multiplicative quaternions algebra	17
Mathematical analysis of autonomous and non‐autonomous age‐structured reaction‐diffusion‐advection population model	17
A Regret Bound for the AdaMax Algorithm With Image Segmentation Application	17
Global attractors for porous elastic system with memory and nonlinear frictional damping	17
Approximate solution for a fractional BVP under Ψ‐Riemann–Liouville operators via iterative method and artificial neural networks	17
Further analysis on dynamical properties of fractional‐order bi‐directional associative memory neural networks involving double delays	17
A semi‐analytical approach for fractional order Boussinesq equation in a gradient unconfined aquifers	17
Existence of exponential attractor to p(x)‐Laplacian via the l‐trajectories method	16
Testing the hypothesis of a nested block covariance matrix structure with applications to medicine and natural sciences	16
Weak solution to a Robin problem of anomalous diffusion equations: Uniqueness and stable algorithm for the TPC system	16
On multiparametrized integral inequalities via generalized α‐convexity on fractal set	16
Separability and Estimates for Eigenvalues and Singular Numbers of a Class of Hyperbolic‐Type Differential Operators	16
Editorial for special issue “Nonlinear dynamics of phase transitions”	16
Inertial manifolds for the 3D hyperviscous Navier–Stokes equation with L2 force	16
Decay estimates of solutions to the N‐species Vlasov–Poisson system with small initial data	16
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Critical exponent of non‐global solutions for an inhomogeneous pseudo‐parabolic equation with space‐time forcing term	16
Generalized and optimal sequence of weights on a progressive‐iterative approximation method with memory for least square fitting	16
On critical exponents for weak solutions to the Cauchy problem for one nonlinear equation with gradient nonlinearity	16
Weak solutions for a degenerate phase‐field model via Galerkin approximation	15
Dynamical behaviors of a stochastic HIV/AIDS epidemic model with treatment	15
Relatively exact controllability of fractional stochastic neutral system with two incommensurate constant delays	15
Hopf bifurcation in time‐delayed gene expression model with dimers	15
Issue Information	15
Characterizing digital microstructures by the Minkowski‐based quadratic normal tensor	15
Dynamical behavior of nonclassical diffusion equations with memory and lacking instantaneous damping	15
Source term identification of time‐fractional diffusion equation under Robin boundary condition	15
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	15
Solution of fractional Sawada–Kotera–Ito equation using Caputo and Atangana–Baleanu derivatives	15
Multiplicity results for fractional magnetic problems involving exponential growth	15
Asymptotic behavior of a random oscillating nonlinear reactive transport in thin turbulent layers	15
Issue Information	15
Global strong solution of 2D Navier–Stokes–Korteweg system	15
On the properties of multidimensional electrostatic oscillations of an electron plasma	15
Oriented CW complexes and finite‐dimensional alternative algebras	15
Probabilistic calibration and short‐term prediction of the prevalence herpes simplex type 2: A transmission dynamics modelling approach	15
Computational dynamics of a fractional order substance addictions transfer model with Atangana‐Baleanu‐Caputo derivative	14
Stability and bifurcation analysis of discrete predator–prey model with nonlinear prey harvesting and prey refuge	14
Global asymptotic stability and projective lag synchronization for uncertain inertial competitive neural networks	14
New criteria for exponential stability of positive switched linear impulsive systems with all modes unstable and its application	14
A high‐order numerical technique for generalized time‐fractional Fisher's equation	14
Results concerning to approximate controllability of non‐densely defined Sobolev‐type Hilfer fractional neutral delay differential system	14
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Finite‐time output feedback preview control for linear parameter‐varying systems with input saturation	14
Bifurcation Analysis, Chaotic Behavior, Sensitivity Analysis, Stability Analysis, and Exploring Exact Traveling Wave Solutions of M‐Fractional Nonlinear Model	14
Asymptotic behavior for textiles with loose contact	14
Results on the existence and approximate controllability of neutral‐type delay integro‐differential system with noninstantaneous impulse	14
Existence of nontrivial solutions for a class of poly‐Laplacian system with mixed nonlinearity on graphs	14
Explicit decay rate for the Gini index in the repeated averaging model	14
Approximation of three‐dimensional nonlinear wave equations by fundamental solutions and weighted residuals process	14
Von Karman swirling flow of an Oldroyd‐B nanofluid with the influence of activation energy	14
A new insight into linguistic pattern analysis based on multilayer hypergraphs for the automatic extraction of text summaries	14
The linear stability for a free boundary problem modeling multilayer tumor growth with time delay	14
Uniqueness of the potential in conformable Sturm‐Liouville problem	14
Study on the explicit solutions of the Benney–Luke equation via the variational direct method	13

Free boundary problem for one‐dimensional compressible Navier–Stokes equations with temperature‐dependent viscosity and heat conductivity	13
New and more dual‐mode solitary wave solutions for the Kraenkel–Manna–Merle system incorporating fractal effects	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
Singular limit of Lamé equations	13
Coverage control of unicycle multi‐agent network in dynamic environment	13
Residually continuous pullback attractors for stochastic discrete plate equations	13
A conservative algorithm based on a hybrid block method and tension B‐spline differential quadrature method for Rosenau–KdV–RLW equation	13
Optimality conditions for a Timoshenko beam model	13
Well posedness and stability result for a microtemperature full von Kármán beam with infinite‐memory and distributed delay terms	13
Stability analysis for fractional order implicit ψ‐Hilfer differential equations	13
Eigenvalue Problems and Time‐Dependent Maxwell‐Stokes System	13
Computational methods for periodic systems: Recent developments	13
Study on Composition Operators Connected With the Laguerre Polynomials	13
New tightness lower and upper bounds for the standard normal distribution function and related functions	12
Sharp estimates of solution of an elliptic problem on a family of open non‐convex planar sectors	12
Study on dynamic features and traveling wave solutions of perturbed nonlinear Biswas–Milovic equation combining Kudryashov's law of refractive index	12
Robust uniform stability criteria for fractional‐order gene regulatory networks with leakage delays	12
Nonequilibrium–diffusion limit of the compressible Euler radiation model in ℝ3	12
Finite Element Fictitious Domain Method for Elliptic PDEs Over Curved‐Complex Domains	12
Conservative compact difference scheme based on the scalar auxiliary variable method for the generalized Kawahara equation	12
Disease Transmission on Random Graphs Using Edge‐Based Percolation	12
Smooth Solution in an N‐Dimensional Chemotaxis Model With Intraguild Predation	12
Mollification of Fourier spectral methods with polynomial kernels	12
Exact traveling wave solutions of the generalized fifth‐order dispersive equation by the improved Fan subequation method	12
Issue Information	12
Stochastic Processes Described by Multidimensional Telegraph Equations	12
Existence and Uniqueness of Renormalized Solutions for a Nonlinear p(x)$$ p(x) $$‐Parabolic Problem With Lower Order Term and General Data	12
Virtual element method for the Sobolev equations	12
Asymptotic analysis of an interior optimal control problem governed by Stokes equations	12
On the Cauchy problem for a four‐component Novikov system with peaked solutions	12
How colored noise shifts the boundaries of oscillatory zones in suspension flows	12
An asymptotic consistent couple stress theory for the three‐dimensional free vibration analysis of functionally graded microplates resting on an elastic medium	12
Three minimal norm Hermitian solutions of the reduced biquaternion matrix equation EM+M˜F=G	12
Quasi‐stability and continuity for wave equation with a fractional damping and a small delay	12
Generalized Taylor Series and Peano Kernel Theorem	12
Dynamic analysis of non‐confocal elliptical lined tunnel under the action of SH wave	12
Integral representations, monotonic properties, and inequalities on extended central binomial coefficient	12
A Heart Chamber Model Using a Capacitance Function Combined With the Navier–Stokes Equations	12
Mathematical modeling and optimal control for COVID‐19 with population behavior	12
Hydrodynamics simulation of red blood cells: Employing a penalty method with double jump composition of lower order time integrator	12
Modeling of stratified two‐phase flows with non‐uniform evaporation based on the exact solution of convection equations	12
Application of flatlet oblique multiwavelets to solve the fractional stochastic integro‐differential equation using Galerkin method	12
Some recent finite volume schemes for one and two layers shallow water equations with variable density	12
Convergence to diffusion waves for solutions of 1D Keller–Segel model	11
General massless field equations for higher spin in dimension 4	11
A singular problem for functional differential equations with decreasing non‐linearities	11
Well‐posedness of diffusion–aggregation equations with bounded kernels and their mean‐field approximations	11
Multiple weak solutions for pi(x)‐Kirchhoff‐type quasilinear elliptic systems	11
Equivalence between invariant measures and statistical solutions for the 2D non‐autonomous magneto‐micropolar fluid equations	11
On stable solutions of a weighted elliptic equation involving the fractional Laplacian	11
Effects of ion sizes on Poisson–Nernst–Planck systems with multiple ions	11
Numerical simulation of a two‐compartmental fractional model in pharmacokinetics and parameters estimation	11
Rational solutions of multi‐component nonlinear Schrödinger equation and complex modified KdV equation	11
A mass supercritical and critical Sobolev fractional Schrödinger system	11
Besicovitch almost periodic solutions for fractional‐order quaternion‐valued neural networks with discrete and distributed delays	11
A framework of linear canonical transform on pseudo‐differential operators and its application	11
Nonexistence of solutions to quasilinear Schrödinger equations with a parameter	11
Riemann–Hilbert problem associated with the vector Lakshmanan–Porsezian–Daniel model in the birefringent optical fibers	11
The temperature state of a plane dielectric layer at constant voltage and fixed temperature of one of the surfaces of this layer	11
Reiterated homogenization of elliptic systems with Neumann boundary conditions	11
Two‐scale computational homogenization of calcified hydrogels	11
Stability and bifurcation analysis of delayed tri‐trophic food chain model in poisoned environment with fear effect and additional food	11
Jacobian‐Free Vectorial Iterative Scheme to Find Simple Several Solutions Simultaneously	11
Convergence analysis of high‐order exponential Rosenbrock methods for nonlinear stiff delay differential equations	11
Issue Information	11
Properties of fractional operators with fixed memory length	11
Noncanonical Emden–Fowler neutral differential equations: New criteria for oscillation	11
The role of convection in the existence of wavefronts for biased movements	11
Uncertainty principles of the fractional Clifford–Fourier transform	11
Supercloseness in a balanced norm of finite element methods on Shishkin and Bakhvalov–Shishkin rectangular meshes for reaction–diffusion problems	11
Delay differential equations for the spatially resolved simulation of epidemics with specific application to COVID‐19	11
Lie group of invariance technique for analyzing propagation of strong shock wave in a rotating non‐ideal gas with azimuthal magnetic field	11
A single bounded input‐feedback control to the generalized Korteweg–de Vries–Burgers–Kuramoto–Sivashinsky equation	10
Global bifurcation results for some fourth‐order nonlinear eigenvalue problem with a spectral parameter in the boundary condition	10
Integrating factor‐based time integrators for the Cahn–Hilliard equation	10
An application of Lobatto–Chebyshev method to a nonhomogeneous plane problem with two cracks	10
A repertoire of repulsive Keller–Segel models with logarithmic sensitivity: Derivation, traveling waves, and quasi‐stationary dynamics	10
Chaotic behaviors and stability analysis of pure‐cubic nonlinear Schrödinger equation with full nonlinearity	10
On Fourier–Bessel matrix transforms and applications	10
On a general degenerate/singular parabolic equation with a nonlocal space term	10
Geometric regularity criteria for the Navier–Stokes equations in terms of velocity direction	10
Well‐posedness for a diffusion–reaction compartmental model simulating the spread of COVID‐19	10
Addendum to “On the Riesz potential operator of variable order from variable exponent Morrey space to variable exponent Campanato space”, Math Meth Appl Sci. 2020; 1–8	10
Generation of Escher‐like spiral drawings in a modified hyperbolic space	10
Behavior of an exponential difference equations system	10
Electromagnetic field and three‐phase lag in a compressed rotating isotropic homogeneous micropolar thermo‐viscoelastic half‐space	10
Regularity of the attractor for a fractional Klein‐Gordon‐Schrödinger system with cubic nonlinearities	10
The boundary integral equation describing a curvilinear solid/liquid interface with nonlinear phase transition temperature	10
Optimal impulse dividend and capital injection model with proportional and fixed transaction costs	10
Spectral analysis and stabilization of one dimensional wave equation with singular potential	10
Integrating the Probe and Singular Sources Methods: II. the Stokes System	10
Exponential stability of Rayleigh beam equation on a star‐shaped network with indefinite damping	10
The finite difference method for the fourth‐order partial integro‐differential equations with the multi‐term weakly singular kernel	10
Solving second‐order differential equations in terms of confluent Heun's functions	10
New fractional integral formulas and kinetic model associated with the hypergeometric superhyperbolic sine function	10