Applied Mathematics Letters

Article	Citations
Multiple sign-changing solutions for fractional Schrödinger equations involving critical or supercritical exponent	159
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	105
Analytical solution for potential flow across two circular cylinders using the BIE in conjunction with degenerate kernels of bipolar coordinates	93
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	90
Global suppression and periodic change of the mosquito population in a sterile release model with delay	84
Stability of periodic traveling fronts for a time–space periodic dengue transmission model	81
Support set and unique ergodicity of stochastic KdV equation	73
Analysis of solution to an elliptic free boundary value problem equipped with a ‘bad’ data	70
An S-type inclusion set for C-eigenvalues of a piezoelectric-type tensor	66
An adaptive homotopy tracking algorithm for solving nonlinear parametric systems with applications in nonlinear ODEs	65
Energy quadratization Runge–Kutta scheme for the conservative Allen–Cahn equation with a nonlocal Lagrange multiplier	58
Editorial Board	52
A conservative Allen–Cahn equation with a curvature-dependent Lagrange multiplier	52
Editorial Board	52
First order strong convergence of positivity preserving logarithmic Euler–Maruyama method for the stochastic SIS epidemic model	51
A reproducing kernel method for nonlinear C-q-fractional IVPs	50
Analysis of a higher order problem within the second gradient theory	50
Maximum entropy principle approach to a non-isothermal Maxwell–Stefan diffusion model	48
Leighton–Wintner-type oscillation theorem for the discrete p	48
The space–time generalized finite difference scheme for solving the nonlinear equal-width equation in the long-time simulation	48
The sharp time decay rates for the incompressible Phan-Thien–Tanner system with magnetic field in	48
Manifold expressions of all solutions of the Yang–Baxter-like matrix equation for rank-one matrices	48

Extending matrix–vector framework on multiple relaxation time lattice Boltzmann method	47
Propagation properties of bright solitons generated by the complex Ginzburg–Landau equation with high-order dispersion and nonlinear gradient terms	46
Modified least squares estimators for Ornstein–Uhlenbeck processes from low-frequency observations	44
A stochastic predator–prey eco-epidemiological model with hunting cooperation	44
Nontrivial solutions for indefinite Schrödinger–Poisson systems and Kirchhoff equations	43
Stationary distribution of a chemostat model with distributed delay and stochastic perturbations	42
Controllable rogue wave and mixed interaction solutions for the coupled Ablowitz–Ladik equations with branched dispersion	42
An implicit difference scheme for time-fractional diffusion equations with a time-invariant type variable order	41
Restarted randomized surrounding methods for solving large linear equations	40
The Liouville theorems for 3D stationary tropical climate model in local Morrey spaces	39
Extensive generalized shift-splitting preconditioner for 3 × 3 block saddle point problems	38
Two trigonometric function solutions of the mKdV equations	37
Positive solutions of parameter-dependent nonlocal differential equations with convolution coefficients	37
An energy estimate and a stabilized Lagrange–Galerkin scheme for a multiphase flow model	36
The stationary distribution of a stochastic SIQS epidemic model with varying total population size	35
The unique solution of a class of the new generalized absolute value equation	35
Traveling wave fronts for a discrete Nicholson’s blowflies model with two delays	35
An analytical Green’s function for Laplace operator in an infinite plane with two circular holes using degenerate kernels	34
On a two-component Camassa–Holm equation	34
Integrability and solutions for a fourth-order lattice Gel’fand–Dikii equation	34
Remarks on Navier–Stokes regularity criteria in Vishik-type spaces	34
On a Camassa–Holm type equation describing the dynamics of viscous fluid conduits	34
Logarithmic type stability for the simultaneous identification of Robin coefficient and heat flux in an elliptic equation	33
Decay estimate of the viscoelastic plate with type II heat conduction in the whole space	32
Normalized solutions and bifurcation for fractional Schrödinger equation with linear potential	32
Novel minimum residual MHSS iteration method for solving complex symmetric linear systems	32
The discrete modified Korteweg–de Vries equation under nonzero boundary conditions	31
Computation of scattering poles using boundary integrals	30
A second order Hamiltonian neural model	30
An effective operator splitting scheme for two-dimensional conservative nonlocal Allen–Cahn equation	29
Exact linearization and exact solutions of a generalized Thomas equation with general variable coefficients	29
The Schrödinger–Poisson system with p-Laplacian	29
Asymptotic behavior of global solutions to a class of mixed pseudo-parabolic Kirchhoff equations	29
Multiple-high-order pole solutions for the NLS equation with quartic terms	28
Editorial Board	28
Polynomial approximation of derivatives through a regression–interpolation method	28
Editorial Board	28
Advanced stability analysis for linear systems with time-varying delays via a generalized integral inequality	28
The slip flow of generalized Maxwell fluids with time-distributed characteristics in a rotating microchannel	27
High-order meshless method based on the generalized finite difference method for 2D and 3D elliptic interface problems	27
Inhomogeneity, magnetic auto-Bäcklund transformations and magnetic solitons for a generalized variable-coefficient Kraenkel-Manna-Merle system in a deformed ferrite	27
Global stability and Hopf bifurcation of networked respiratory disease model with delay	27
A new inexact fixed point iteration method for solving tensor absolute value equation	26
A revisit of the energy quadratization method with a relaxation technique	25
The finite element method for modified transmission eigenvalues for inverse scattering in a fluid–solid interaction problem	25
Boundedness and exponential stabilization for time–space fractional parabolic–elliptic Keller–Segel model in higher dimensions	25
Collision-avoidance, aggregation and velocity-matching in a Cucker–Smale-type model	24
A weighted gradient model with total variation regularization for multi-focus image fusion	24
Constrained mock-Chebyshev least squares quadrature	23
A short note on the Painlevé XXV–Ermakov equation	23

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

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