Applied Mathematics Letters

Article	Citations
Multiple sign-changing solutions for fractional Schrödinger equations involving critical or supercritical exponent	160
Strong comparison principle for a p-Laplace equation involving singularity and its applications	140
Numerical analysis of growth-mediated autochemotactic pattern formation in self-propelling bacteria	128
An efficient augmented approach algorithm for incompressible Stokes problems on staggered Cartesian grids	120
Analytical solution for potential flow across two circular cylinders using the BIE in conjunction with degenerate kernels of bipolar coordinates	96
The existence and nonlinear stability of stationary solutions to inflow problem for a reduced gravity two and a half layer model	92
Long-time behavior for the Kirchhoff diffusion problem with magnetic fractional Laplace operator	91
Global suppression and periodic change of the mosquito population in a sterile release model with delay	87
Stability of periodic traveling fronts for a time–space periodic dengue transmission model	82
Support set and unique ergodicity of stochastic KdV equation	75
Analysis of solution to an elliptic free boundary value problem equipped with a ‘bad’ data	74
Energy quadratization Runge–Kutta scheme for the conservative Allen–Cahn equation with a nonlocal Lagrange multiplier	67
An S-type inclusion set for C-eigenvalues of a piezoelectric-type tensor	67
Manifold expressions of all solutions of the Yang–Baxter-like matrix equation for rank-one matrices	58
An adaptive homotopy tracking algorithm for solving nonlinear parametric systems with applications in nonlinear ODEs	54
Editorial Board	52
The sharp time decay rates for the incompressible Phan-Thien–Tanner system with magnetic field in	50
A conservative Allen–Cahn equation with a curvature-dependent Lagrange multiplier	50
Maximum entropy principle approach to a non-isothermal Maxwell–Stefan diffusion model	50
Editorial Board	50
Leighton–Wintner-type oscillation theorem for the discrete p	50
Analysis of a higher order problem within the second gradient theory	50
Extending matrix–vector framework on multiple relaxation time lattice Boltzmann method	48
Propagation properties of bright solitons generated by the complex Ginzburg–Landau equation with high-order dispersion and nonlinear gradient terms	47
First order strong convergence of positivity preserving logarithmic Euler–Maruyama method for the stochastic SIS epidemic model	47

A stochastic predator–prey eco-epidemiological model with hunting cooperation	47
The Liouville theorems for 3D stationary tropical climate model in local Morrey spaces	45
A reproducing kernel method for nonlinear C-q-fractional IVPs	44
An implicit difference scheme for time-fractional diffusion equations with a time-invariant type variable order	43
Nontrivial solutions for indefinite Schrödinger–Poisson systems and Kirchhoff equations	43
Controllable rogue wave and mixed interaction solutions for the coupled Ablowitz–Ladik equations with branched dispersion	43
Restarted randomized surrounding methods for solving large linear equations	42
Extensive generalized shift-splitting preconditioner for 3 × 3 block saddle point problems	40
Two trigonometric function solutions of the mKdV equations	39
Positive solutions of parameter-dependent nonlocal differential equations with convolution coefficients	37
Modified least squares estimators for Ornstein–Uhlenbeck processes from low-frequency observations	37
An energy estimate and a stabilized Lagrange–Galerkin scheme for a multiphase flow model	37
Stationary distribution of a chemostat model with distributed delay and stochastic perturbations	36
Traveling wave fronts for a discrete Nicholson’s blowflies model with two delays	36
The space–time generalized finite difference scheme for solving the nonlinear equal-width equation in the long-time simulation	36
Remarks on Navier–Stokes regularity criteria in Vishik-type spaces	35
Integrability and solutions for a fourth-order lattice Gel’fand–Dikii equation	35
On a Camassa–Holm type equation describing the dynamics of viscous fluid conduits	35
An analytical Green’s function for Laplace operator in an infinite plane with two circular holes using degenerate kernels	34
Logarithmic type stability for the simultaneous identification of Robin coefficient and heat flux in an elliptic equation	34
The discrete modified Korteweg–de Vries equation under nonzero boundary conditions	32
Quasi-exponential stability of non-autonomous integro-differential systems with infinite delay	32
Computation of scattering poles using boundary integrals	32
Exact linearization and exact solutions of a generalized Thomas equation with general variable coefficients	32
Decay estimate of the viscoelastic plate with type II heat conduction in the whole space	32
Advanced stability analysis for linear systems with time-varying delays via a generalized integral inequality	31
Editorial Board	30
The Schrödinger–Poisson system with p-Laplacian	30
Multiple-high-order pole solutions for the NLS equation with quartic terms	30
A new inexact fixed point iteration method for solving tensor absolute value equation	30
On a two-component Camassa–Holm equation	30
Editorial Board	29
The slip flow of generalized Maxwell fluids with time-distributed characteristics in a rotating microchannel	29
The finite element method for modified transmission eigenvalues for inverse scattering in a fluid–solid interaction problem	29
High-order meshless method based on the generalized finite difference method for 2D and 3D elliptic interface problems	28
Polynomial approximation of derivatives through a regression–interpolation method	28
Novel minimum residual MHSS iteration method for solving complex symmetric linear systems	28
Global stability and Hopf bifurcation of networked respiratory disease model with delay	28
Normalized solutions and bifurcation for fractional Schrödinger equation with linear potential	28
A second order Hamiltonian neural model	27
An effective operator splitting scheme for two-dimensional conservative nonlocal Allen–Cahn equation	27
Asymptotic behavior of global solutions to a class of mixed pseudo-parabolic Kirchhoff equations	26
About stability of a mathematical model of Glassy-winged Sharpshooter population under Poisson’s jumps	25
Boundedness and exponential stabilization for time–space fractional parabolic–elliptic Keller–Segel model in higher dimensions	25
A weighted gradient model with total variation regularization for multi-focus image fusion	25
Multiple solutions for critical Kirchhoff–Poisson systems in the Heisenberg group	24
Collision-avoidance, aggregation and velocity-matching in a Cucker–Smale-type model	24
Large time decay rates of the two-dimensional magneto-micropolar fluids with zero angular viscosity	23
A short note on the Painlevé XXV–Ermakov equation	23
Normalized ground states for a Hardy–Littlewood–Sobolev upper critical Schrödinger equation with double Choquard type nonlinear terms	23

On the stability of equilibrium preserving spectral methods for the homogeneous Boltzmann equation	23
Dynamics analysis for the Wadati–Konno–Ichikawa(II)-short pulse equation	22
Applied higher-order elliptic problems with nonstandard growth structure	22
Explicit exponential algorithms for two-dimensional charged-particle dynamics with non-homogeneous electromagnetic fields	22
Hamiltonian structure for a differential system from a modified Laguerre weight via the geometry of the modified third Painlevé equation	22
Wasserstein convergence of invariant measures for fractional stochastic reaction–diffusion equations on unbounded domains	22
A POD based reduced-order local RBF collocation approach for time-dependent nonlocal diffusion problems	21
On the uniqueness of 3-D inhomogeneous viscous incompressible magnetohydrodynamic equations with bounded density	21
Editorial Board	21
Maximum bound principle preserving and mass conservative projection method for the conservative Allen–Cahn equation	21
Semi-rational vector rogon–soliton solutions of the five-component Manakov/NLS system with mixed backgrounds	21
A high-order accurate multidomain Legendre–Chebyshev spectral method for 2D Maxwell’s equations in inhomogeneous media with discontinuous waves	21
On reconstruction of small sources from Cauchy data at a fixed frequency	21
Infinitely many smooth nodal solutions for Orlicz Robin problems	21
Editorial Board	20
Ground states of a class of gradient systems of Choquard type with general nonlinearity	20
Editorial Board	20
A Trudinger–Moser type inequality in a strip and applications	20
Integrability, Darboux transformation and exact solutions for nonlocal couplings of AKNS equations	20
Global weak solutions to the inhomogeneous incompressible Navier–Stokes–Vlasov–Boltzmann equations	20
AAA rational approximation for time domain model order reduction	20
N-soliton asymptotic analysis on the Gerdjikov–Ivanov equation for th	19
Energy equality of the weak solutions to Navier–Stokes equations in the multiplier spaces	19
A modified multivariate spectral gradient algorithm for solving absolute value equations	19
Arbitrary initial energy blow up for fourth-order viscous damped wave equation with exponential-type growth nonlinearity	19
Persistence property and infinite propagation speed for the b-family	19
A novel (2	19
On decaying and asymptotically constant solutions of nonlinear equations with the Weyl fractional derivative of an order in	19
A note on generalized exponential stability of impulsive stochastic functional differential equations	19
Optimal decay of critical derivative for a two-dimensional chemotaxis-shallow water system	19
Note on stability of an abstract coupled hyperbolic-parabolic system: Singular case	19
A note on sufficient conditions of asymptotic stability in distribution of stochastic differential equations with	19
A revisit of the energy quadratization method with a relaxation technique	19
Editorial Board	18
Refactorization of a variable step, unconditionally stable method of Dahlquist, Liniger and Nevanlinna	18
A mathematical modeling approach to assess biological control of an orange tree disease	18
Reflecting upon some electromagnetic waves in a ferromagnetic film via a variable-coefficient modified Kadomtsev-Petviashvili system	18
A fast and efficient numerical algorithm for Swift–Hohenberg equation with a nonlocal nonlinearity	18
Constrained mock-Chebyshev least squares quadrature	18
Large-time behavior of the energy to the isentropic compressible Navier–Stokes equations with vacuum	18
Infinitely many positive periodic solutions for second order functional differential equations	17
Stochastic stability and stationary probability density analysis for a nutrient–phytoplankton model with multiplicative and additive noises	17
Mixed solutions for an AB system in geophysical fluids or nonlinear optics	17
Long-timeH1<	17
Averaging principle for fractional stochastic differential equations with	17
A class of iterative functional fractional differential equation on infinite interval	17
Darboux transformations and exact solutions of nonlocal Kaup–Newell equations with variable coefficients	17
An unstructured algorithm for the singular value decomposition of biquaternion matrices	17
Oscillation and asymptotic behavior of third-order nonlinear delay differential equations with positive and negative terms	17
Exotic dynamics of bimolecular reaction–diffusion fronts in immiscible systems	17
SAV unconditional stable estimate of parallel decoupled stabilized finite element algorithm for the fully mixed Stokes–Darcy problems	17
The slightly compressible Brinkman-Forcheimer equations and its incompressible approximation	17
A new global existence result for the 3D magneto-hydrodynamics equations	17
Quasi-neutral limit of the Isothermal Naiver–Stokes–Poisson with boundary	17
A note on the global dynamics for a diffusive foot-and-mouth disease model	16
Sign-changing solutions for Schrödinger–Poisson system with p-Laplacian in	16
Existence of solutions for p-Laplacian parabolic Kirchhoff equation	16
Inverse scattering and soliton dynamics for the mixed Chen–Lee–Liu derivative nonlinear Schrödinger equation	16
Symmetry reduction and exact solutions of the (3+1)-dimensional nKdV-nCBS equation	16
Nonlinear transmission exponent for boundedness of solutions to a chemotaxis system with indirect signal production	16
Mathematical model with unrestricted dispersion and polynomial nonlinearity	16
Normalized solutions for L2	16
Threshold dynamics of a degenerated diffusive incubation period host–pathogen model with saturation incidence rate	16
A note on the L1 discretization error for the Caputo derivative in Hölder spaces	16
Orbital stability of solitary wave solutions of a Hamiltonian PDE arising in magma dynamics	15
Lower and upper bounds of the solution for the Lyapunov matrix differential equation and an application in input-output finite-time stability of linear systems	15
Global smooth solutions for the Landau–Lifshitz–Bloch equation with helicity term	15
On viscoelastic fluid in a vertical porous media channel with Soret and Dufour effects	15
A priori estimates and existence of solutions to a system of nonlinear elliptic equations	15
On well-posedness of Navier–Stokes variational inequalities	15
Modeling the impact of directional movement on mosquito population suppress	15
New type of multiple lump and rogue wave solutions of the (2+1)-dimensional Bogoyavlenskii–Kadomtsev–Petviashvili equation	15
Effects of the Coriolis effect on solitary waves of the geophysical Green–Naghdi system	15
The Schrödinger–Born–Infeld system: Attractive case	15
Theoretical analysis of time-reassigned synchrosqueezing wavelet transform	15
Meshless method of solving multi-term time-fractional integro-differential equation	15
Buoyancy and drag in Rayleigh–Taylor and Richtmyer–Meshkov linear, nonlinear and mixing dynamics	15
The existence theory of solution in Sobolev space for fractional differential equations	15
Structure preserving FEM for the perturbed wave equation of quantum mechanics	14
Extremals to new Gagliardo–Nirenberg inequality and ground states	14

Editorial Board	14
Energy of steady periodic equatorial water waves in two-layer flows	14
Bifurcation dynamics in a stochastic population model with Beverton–Holt growth	14
Stabilization by multiplicative Itô noise for Chafee–Infante equation in perforated domains	14
Computational homology to unravel the complex scar structure after a myocardial infarction	14
Supercloseness of the LDG method for a singularly perturbed convection–diffusion problem on Bakhvalov-type mesh	14
Stability of 2D inviscid MHD equations with only fractional magnetic diffusion in the horizontal direction	14
Stability and spatiotemporal patterns of a memory-based diffusion equation with nonlocal interaction	14
Sufficient and necessary conditions for ground state sign-changing solutions to the Schrödinger–Poisson system with cubic nonlinearity on bounded domains	14
On 3D generalized MHD equations with different dissipation exponents	14
A new blowup criterion for strong solutions of the three-dimensional isentropic compressible micropolar fluid	14
Analysis of an HIV latent infection model with cell-to-cell transmission and multiple drug classes	14
A note on polynomial-free unisolvence of polyharmonic splines at random points	13
Exponential estimate with a time-varying factor for positive discrete-time systems with time-delays	13
Blow-up of solutions to the Keller–Segel model with tensorial flux in high dimensions	13
Global stability for a heroin epidemic model in a critical case	13
Power-series solution of the L-fractional logistic equation	13
On the linear independence condition for the Bobkov-Tanaka first eigenvalue of the double-phase operator	13
Shifted-Legendre orthonormal method for delay heat conduction equation	13
A non-existence result for periodic solutions of the relativistic pendulum with friction	13
Geometric programming for multilinear systems with nonsingular M	13
Topic-a cluster of relevant messages-propagation dynamics: A modeling study of the impact of user repeated forwarding behaviors	13
A novel integral inequality and its application to stability analysis of linear system with multiple time delays	13
A note on a supercritical p-Laplacian equation with logarithmic pertur	13
∂̄	13
On permanence and extinction for a nonautonomous chemostat model with delays	13
Stationary distribution and extinction of a stochastic generalized SEI epidemic model with Ornstein–Uhlenbeck process	13
Global boundedness in a chemotaxis system with signal-dependent motility and indirect signal consumption	12
Global asymptotic stability in a non-autonomous delay mosquito population suppression model	12
Supercloseness analysis of the linear finite element method for a singularly perturbed convection–diffusion problem on Vulanović–Bakhvalov mesh	12
In plasma physics and fluid dynamics: Symbolic computation on a (2+1)-dimensional variable-coefficient Sawada-Kotera system	12
Error analysis of modified Runge–Kutta–Nyström methods for nonlinear second-order delay boundary value problems	12
Stability for the 2D anisotropic surface quasi-geostrophic equation with horizontal dissipation	12
∂̄	12
A hybrid kernel functions collocation approach for boundary value problems with Caputo fractional derivative	12
Multi-elliptic-dark soliton solutions of the defocusing nonlinear Schrödinger equation	12
Error estimate of the fast L1 method for time-fractional subdiffusion equations	12
The efficient spectral Galerkin method to the phase-field models in polar geometry	12
Artificial boundary method for the fractional second-grade fluid flow on a semi-infinite plate with the effects of magnetic field and a power-law viscosity	12
Blow-up criteria for double-diffusive convection systems in sum spaces	12
Two-sided randomized algorithms for approximate K-term t-SVD	12
Asymptotic stability of a stochastic Lotka–Volterra competition model with dispersion and Ornstein–Uhlenbeck process	12
Unconditionally energy-stable mapped Gegenbauer spectral Galerkin method for diffusive–viscous wave equation in unbounded domains	12
On an elliptic chemotaxis system with flux limitation and subcritical signal production	12
A new blowup criterion for a generalized Hall-MHD system concerning the deformation tensor	12
An equivalent formulation of Sonine condition	12
A counterexample of a uniqueness result	11
Variable-step numerical schemes and energy dissipation laws for time fractional Cahn–Hilliard model	11
Insights into unexpected relapse and recovery in HCV-infected patients by studying a stochastic within-host HCV model	11
Global solutions for the system of a viscous two-fluid model	11
Spline-oriented inter/extrapolation-based multirate schemes of higher order	11
How to choose the signature operator such that the periodic pseudo-Jacobi inverse eigenvalue problem is solvable?	11
Non-degeneracy and uniqueness of the radial solutions to a coupled k-	11
Spatially nonhomogeneous periodic patterns in a delayed predator–prey model with predator-taxis diffusion	11
The uniform l1	11
QR decomposition of dual matrices and its application	11
Global stability of a degenerate reaction–diffusion host-pathogen model in critical case	11
Similarity transformations and exact solutions of the (3+1)-dimensional nonlinear Schrödinger equation with spatiotemporally varying coefficients	11
Groundstates for magnetic Choquard equations with critical exponential growth	11
Generalization of PINNs for elliptic interface problems	11
A second-order three-point difference scheme on a posteriori mesh for a singularly perturbed convection–diffusion problem	11
A moving finite element method for solving two-dimensional coupled Burgers’ equations at high Reynolds numbers	11
A locking-free mixed enriched Galerkin method of arbitrary order for linear elasticity using the stress–displacement formulation	11
Constructing relaxation systems for lattice Boltzmann methods	11
Analytical 3D fundamental solutions for dynamic saturated poroelasticity	10
Parsimonious models of in-host viral dynamics and immune response	10
Mass and energy conservative high-order diagonally implicit Runge–Kutta schemes for nonlinear Schrödinger equation	10
Subdivision scheme for discrete probability measure-valued data	10
Well-posedness of the generalized Navier–Stokes equations with damping	10
A new error analysis of a linearized Euler Galerkin scheme for Schrödinger equation with cubic nonlinearity	10
Multiplicity of solutions for asymptotically quadratic Dirac–Poisson system with non-periodic potential	10
Rotating, sliding or both?	10
Extended KdV equations generated by squared eigenfunction symmetry	10
Editorial Board	10
Lyapunov functions for some epidemic model with high risk and vaccinated class	10
Bilinear auto-Bäcklund transformations and soliton solutions of a (3+1)-dimensional generalized nonlinear evolution equation for the shallow water waves	10
The study of solution in Sobolev space for the nonlinear differential equations with nonsmooth source term	10
A class of higher-order time-splitting Monte Carlo method for fractional Allen–Cahn equation	10
Unique inversion of orders and potential for multi-term time fractional wave equations	10
Nonexistence result for Chern–Simons–Schrödinger–Higgs system	10
Uniqueness of single-peaked solutions to singularity perturbed semilinear Dirichlet problems	10
Dynamical analysis of higher-order rogue waves on the various backgrounds for the reverse space–time Fokas–Lenells equation	10
The special solutions of 2-D steady isentropic irrotational relativistic Euler system	10
Nonexistence of positive solutions to a class of generalized quasilinear Schrödinger equations	10
A novel time-domain SCT-BEM for transient heat conduction analysis	10
Mittag-Leffler kernel-based oversampling collocation method for fractional initial value problems with contaminated data	10
Real solutions to an asymptotically linear Helmholtz equation	10
A free boundary problem with impulsive harvesting in small advection environment	10
Multiple-relaxation-time lattice Boltzmann model for anisotropic liquid–solid phase change	10
Global attractivity of the equilibria of the diffusive SIR and SEIR epidemic models with multiple parallel infectious stages and nonlinear incidence mechanism	10
Backward bifurcation arising from decline of immunity against emerging infectious diseases	10
On the existence of locally-defined projective interpolations	10
Recovery based finite difference scheme on unstructured mesh	10
A diffuse interface box method for elliptic problems	10
Three positive solutions for Kirchhoff problems with steep potential well and concave–convex nonlinearities	9