AIMS Mathematics

Papers
(The median citation count of AIMS Mathematics is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-09-01 to 2025-09-01.)
ArticleCitations
Finite-time stability and uniqueness theorem of solutions of nabla fractional $ (q, h) $-difference equations with non-Lipschitz and nonlinear conditions90
A regularity criterion via horizontal components of velocity and molecular orientations for the 3D nematic liquid crystal flows83
Optimized distributed fusion filtering for singular systems with fading measurements and stochastic nonlinearity81
On the sixth power mean values of a generalized two-term exponential sums80
Evolutionary problems driven by variational inequalities with multiple integral functionals79
Trajectory tracking approach to logical (control) networks78
Analysis of a stochastic epidemic model for cholera disease based on probability density function with standard incidence rate74
Idempotent completion of right suspended categories72
Shape reconstruction of acoustic obstacle with linear sampling method and neural network61
Hyers-Ulam-Mittag-Leffler stability of fractional differential equations with two caputo derivative using fractional fourier transform55
A posteriori mesh method for a system of singularly perturbed initial value problems50
On a class of weakly Landsberg metrics composed by a Riemannian metric and a conformal 1-form49
Asymptotic behavior of Levin-Nohel nonlinear difference system with several delays48
On Hadamard inequalities for refined convex functions via strictly monotone functions47
Composition operators on Hardy-Sobolev spaces with bounded reproducing kernels45
The even vertex magic total labelings of $ t $-fold wheels45
Energy decay of solution for nonlinear delayed transmission problem44
Least energy sign-changing solutions for a class of fractional $ (p, q) $-Laplacian problems with critical growth in $ \mathbb{R}^N $42
Simultaneous blow-up of the solution for a singular parabolic system with concentrated sources42
Eighth order, Numerov-like schemes with coefficients tailored for superior performance on ODE systems with oscillatory solutions42
Global stability of traveling fronts of a diffusion system with the Belousov-Zhabotinskii reaction42
On the construction of stable periodic solutions for the dynamical motion of AC machines41
An efficient Fourier spectral method and error analysis for the fourth order problem with periodic boundary conditions and variable coefficients40
$ k $th powers in a generalization of Piatetski-Shapiro sequences39
Qualitative analytical results of complex order nonlinear fractional differential equations with robust control scheme38
Martingale transforms in martingale Hardy spaces with variable exponents38
Fuzzy fractional estimates of Swift-Hohenberg model obtained using the Atangana-Baleanu fractional derivative operator37
A hybrid framework for mean-CVaR portfolio selection under jump-diffusion processes: Combining cross-entropy method with beluga whale optimization37
Nonlinear normal modes in a network with cubic couplings36
Correction: Metallic deformation on para-Sasaki-like para-Norden manifold36
Solvability and stability analysis of a coupled system involving generalized fractional derivatives35
On asymptotic correlation coefficient for some order statistics35
Mesoscopic glass transition model: Influence of the cooling rate on the structure refinement35
The security analysis of the key exchange protocol based on the matrix power function defined over a family of non-commuting groups34
Smoothing properties of the fractional Gauss-Weierstrass semi-group in Morrey smoothness spaces34
Boundedness and higher integrability of minimizers to a class of two-phase free boundary problems under non-standard growth conditions34
Repeated-root constacyclic codes of length $ p_1p_2^t p^s $ and their dual codes33
Pseudo subalgebras and pseudo filters in pseudo BE-algebras33
A priori estimates for the free boundary problem of incompressible inviscid Boussinesq and MHD-Boussinesq equations without heat diffusion33
Soft order topology and graph comparison based on soft order33
On a fuzzy bipolar metric setting with a triangular property and an application on integral equations31
Discontinuous solutions of delay fractional integral equation via measures of noncompactness31
Synchronization robustness analysis of memristive-based neural networks with deviating arguments and stochastic perturbations31
Stability analysis of new generalized mean-square stochastic fractional differential equations and their applications in technology31
An application of Pascal distribution involving Kamali type related to leaf like domain31
Stability analysis of a multiscale model including cell-cycle dynamics and populations of quiescent and proliferating cells31
Exponential stability of stochastic complex networks with multi-weights driven by second-order process based on graph theory30
Signed double Italian domination30
The ADMM algorithm for audio signal recovery and performance modification with the dual Douglas-Rachford dynamical system30
Metric geometric means with arbitrary weights of positive definite matrices involving semi-tensor products29
Soft almost weakly continuous functions and soft Hausdorff spaces29
The data-driven localized wave solutions of KdV-type equations via physics-informed neural networks with a priori information29
A breakdown-free block conjugate gradient method for large-scale discriminant analysis29
On CR-lightlike submanifolds in a golden semi-Riemannian manifold29
Moran random walk with reset and short memory29
Neighbor sum distinguishing total choice number of IC-planar graphs with restrictive conditions29
Asymptotics for fractional reaction diffusion equations in periodic media28
Expectation formulas for $ q $-probability distributions: a new extension via Andrews-Askey integral28
A comprehensive study of a feedback control problem with a state-dependent implicit pantograph equation of Chandrasekhar type28
The inverse uncertainty distribution of the solutions to a class of higher-order uncertain differential equations28
Analysis of stress-strength reliability with m-step strength levels under type I censoring and Gompertz distribution28
Sweeping surfaces generated by involutes of a spacelike curve with a timelike binormal in Minkowski 3-space28
A characterization of $ b $-generalized skew derivations on a Lie ideal in a prime ring28
On optimal molecular trees with respect to Sombor indices27
Solitons unveilings and modulation instability analysis for sixth-order coupled nonlinear Schrödinger equations in fiber bragg gratings27
Model averaging based on weighted generalized method of moments with missing responses27
Equivalent characterizations of harmonic Teichmüller mappings26
A method for solving the Cauchy problem for Duffng type integro-differential equation26
Symmetry analysis for nonlinear fractional terminal system under $ w $-Hilfer fractional derivative in different weighted Banach spaces26
Rigidity of almost Ricci solitons on compact Riemannian manifolds26
Some generalized matrix means inequalities26
Clustering property for quantum Markov chains on the comb graph26
Positivity analysis for mixed order sequential fractional difference operators25
Corrected optimal subsampling for a class of generalized linear measurement error models25
A particular matrix with exponential form, its inversion and some norms25
Model predictive control based integration of pricing and production planning25
Intuitionistic fuzzy monotonic DOWA operators25
Key generic technology research and development decision-making in Stackelberg competition25
A note on the hybrid power mean involving the cubic Gauss sums and Kloosterman sums25
The research of $({\rm{G}}, {\rm{w}})$-Chaos and G-Lipschitz shadowing property25
Generalizations of AM-GM-HM means inequalities25
Multi-fractional-differential operators for a thermo-elastic magnetic response in an unbounded solid with a spherical hole via the DPL model25
Dirichlet and Neumann boundary value problems for bi-polyanalytic functions on the bicylinder24
Barycentric rational collocation method for semi-infinite domain problems24
On the equilibrium strategy of linear-quadratic time-inconsistent control problems24
Enhanced decision model for sustainable energy solutions under bipolar hesitant fuzzy soft aggregation information24
Comparing regional and provincial-wide COVID-19 models with physical distancing in British Columbia24
Retraction notice to "The Generalized Riemann Hypothesis on elliptic complex fields" [<i>AIMS Mathematics</i> 8(11) (2023) 25772–25803]24
Existence and asymptotic behavior of normalized solutions for the modified Kirchhoff equations in $ \mathbb{R}^3 $24
Analyzing the dynamics of fractional spatio-temporal $ \mathrm{SEIR} $ epidemic model23
Reliability analysis of independent Burr-X competing risks model based on improved adaptive progressively Type-Ⅱ censored samples with applications23
Specific types of Lindelöfness and compactness based on novel supra soft operator23
Optimal feedback control for a class of fed-batch fermentation processes using switched dynamical system approach23
Analysis of the far-field behavior of waves in magnetogasdynamic23
Analytical solution of the systems of nonlinear fractional partial differential equations using conformable Laplace transform iterative method23
A robust uniform practical stability approach for Caputo fractional hybrid systems23
The connection between ordinary and soft $ \sigma $-algebras with applications to information structures23
Multivariate Mittag-Leffler function and related fractional integral operators23
Characterizing the functional ANOVA model for repeated measures via PCA application to biomechanical data23
Wronskian-type determinant solutions of the nonlocal derivative nonlinear Schrödinger equation23
Optimizing Tensor-Train Decomposition for efficient edge AI: Accelerated decoding via GEMM and reshape minimization23
Uncertain logistic regression models23
Existence and uniqueness of positive solution of a nonlinear differential equation with higher order Erdélyi-Kober operators23
Nonlinear robust control of trajectory-following for autonomous ground electric vehicles with active front steering system23
Effects of Cattaneo-Christov heat flux on double diffusion of a nanofluid-filled cavity containing a rotated wavy cylinder and four fins: ISPH simulations with artificial neural network22
Several co-associative laws and pre-$ B $-algebras22
Piecewise approximate analytical solutions of high-order reaction-diffusion singular perturbation problems with boundary and interior layers22
Generalized common best proximity point results in fuzzy multiplicative metric spaces22
Existence results of mild solutions for nonlocal fractional delay integro-differential evolution equations via Caputo conformable fractional derivative22
The generalized circular intuitionistic fuzzy set and its operations22
Numerical method for a compound Poisson risk model with liquid reserves and proportional investment22
Existence and uniqueness of solutions for the two-dimensional Euler and Navier-Stokes equations with initial data in $ H^1 $22
Exponents of a class of special three-colored primitive digraphs with $ n $ vertices in graph theory21
New class of convex interval-valued functions and Riemann Liouville fractional integral inequalities21
Analysis study on multi-order $ \varrho $-Hilfer fractional pantograph implicit differential equation on unbounded domains21
Finding the Nash equilibria of $ n $-person noncooperative games via solving the system of equations21
A new class of degenerate unified Bernoulli-Euler Hermite polynomials of Apostol type21
Semi-$ (E, F) $-convexity in complex programming problems21
Some new concepts in fuzzy calculus for up and down <i>λ</i>-convex fuzzy-number valued mappings and related inequalities21
An explicit numerical method for the conservative Allen–Cahn equation on a cubic surface21
Non-Lipschitz heterogeneous reaction with a p-Laplacian operator21
Hankel inequalities for bounded turning functions in the domain of cosine Hyperbolic function21
Restricted partitions and convex topologies21
A Comprehensive study on $ (\alpha, \beta) $-multi-granulation bipolar fuzzy rough sets under bipolar fuzzy preference relation21
A novel nonmonotone trust region method based on the Metropolis criterion for solving unconstrained optimization21
New solutions of time-space fractional coupled Schrödinger systems21
Rumor model on social networks contemplating self-awareness and saturated transmission rate20
Fast hybrid explicit group methods for solving 2D fractional advection-diffusion equation20
Circular evolutes and involutes of spacelike framed curves and their duality relations in Minkowski 3-space20
Decision support system based on complex T-Spherical fuzzy power aggregation operators20
Nonlinear wave dynamics in dispersive media: analytical insights from the nonlinear modified generalized Vakhnenko equation20
Study of nonlinear generalized Fisher equation under fractional fuzzy concept20
Fixed point theorem on $ CAT_{p}(0) $ metric spaces with applications in solving matrix equations and fractional differential equations20
Special non-lightlike ruled surfaces in Minkowski 3-space20
A new APSO-SPC method for parameter identification problem with uncertainty caused by random measurement errors20
Output-based event-triggered control for discrete-time systems with three types of performance analysis20
Linear-quadratic-Gaussian mean-field games driven by Poisson jumps with major and minor agents20
Integrated ISPH approach with artificial neural network for magnetic influences on double diffusion of a non-Newtonian NEPCM in a curvilinear cavity19
Weight-2 input sequences of $ 1/n $ convolutional codes from linear systems point of view19
Robust smoothing of left-censored time series data with a dynamic linear model to infer SARS-CoV-2 RNA concentrations in wastewater19
Optimal polynomial stability of the Timoshenko system with single fractional boundary dissipation19
Hardy-type spaces and Hardy-type inequalities19
Traffic Transformer: Transformer-based framework for temporal traffic accident prediction19
A quasi-conjugate bivariate prior distribution suitable for studying dependence in reinsurance and non reinsurance models with and without a layer19
Finite-time adaptive prescribed performance DSC for pure feedback nonlinear systems with input quantization and unmodeled dynamics19
Solitonic effect on relativistic string cloud spacetime attached with strange quark matter19
Construction of marginally coupled designs with mixed-level qualitative factors19
A new 4D hyperchaotic system and its control19
Timelike acc-slant curves in Minkowski 3-space19
Analytical methods in fractional biological population modeling: Unveiling solitary wave solutions19
Transient thermoelastic responses in spherical elastic porous media using a fractional two-phase-lag model with space-time nonlocality19
Stieltjes integral boundary value problem involving a nonlinear multi-term Caputo-type sequential fractional integro-differential equation19
A novel quaternion linear matrix equation solver through zeroing neural networks with applications to acoustic source tracking19
Equivalence of constacyclic codes over finite non-chain ring and quantum codes19
Exploring Chebyshev polynomial approximations: Error estimates for functions of bounded variation19
Chaotic perturbations of solitons in complex conformable Maccari system18
Effect of immigration in a predator-prey system: Stability, bifurcation and chaos18
Synergy of machine learning and the Einstein Choquet integral with LOPCOW and fuzzy measures for sustainable solid waste management18
Explicit evaluations of subfamilies of the hypergeometric function $ _3F_2(1) $ along with specific fractional integrals18
T-spherical linear Diophantine fuzzy aggregation operators for multiple attribute decision-making18
On a parameterized inversion-free iterative algorithm for solving the nonlinear matrix equation $ X+\sum_{i = 1}^{m}A_{i}^{\ast}X^{-p_{i}}A_{i} = I $18
Theoretical analysis of a class of $ \varphi $-Caputo fractional differential equations in Banach space18
Topological visualization and graph analysis of rough sets via neighborhoods: A medical application using human heart data18
Entropy based extended TOPOSIS method for MCDM problem with fuzzy credibility numbers18
Split-step quintic B-spline collocation methods for nonlinear Schrödinger equations18
Extended Moreno-García cosine products18
Boundedness of Marcinkiewicz integral operator of variable order in grand Herz-Morrey spaces18
Statistical modeling with a novel distribution: Inference, information measures, and applications to inflation rates and mechanical failure data18
Some Tsallis entropy measures in concomitants of generalized order statistics under iterated FGM bivariate distribution18
An algorithm for variational inclusion problems including quasi-nonexpansive mappings with applications in osteoporosis prediction17
Separating invariants for certain representations of the elementary Abelian $ p $-groups of rank two17
Analysis of bifurcation, chaotic structures, lump and $ M-W $-shape soliton solutions to $ (2+1) $ complex modified Korteweg-de-Vries system17
On a mixed nonlinear boundary value problem with the right Caputo fractional derivative and multipoint closed boundary conditions17
Generalized first-order second-moment method for uncertain random structures17
Adaptive predefined-time robust control for nonlinear time-delay systems with different power Hamiltonian functions17
A note on the generalized Gaussian Estrada index and Gaussian subgraph centrality of graphs17
Applications of Hölder-İşcan inequality for $ n $-times differentiable $ (s, m) $-convex functions17
Computing the zeros of the Szegö kernel for doubly connected regions using conformal mapping17
A new class of directed strongly regular Cayley graphs over dicyclic groups17
Enhancing thermal performance: A numerical study of MHD double diffusive natural convection in a hybrid nanofluid-filled quadrantal enclosure17
Bivariate exponentiated generalized inverted exponential distribution with applications on dependent competing risks data17
A new solitary wave solution of the fractional phenomena Bogoyavlenskii equation via Bäcklund transformation17
A generalization of identities in groupoids by functions17
Existence results of sequential fractional Caputo sum-difference boundary value problem17
Online scheduling on a single machine with one restart for all jobs to minimize the weighted makespan17
Local well-posedness and blow-up criterion to a nonlinear shallow water wave equation16
Generalized Newton-Leibniz formula and the embedding of the Sobolev functions with dominating mixed smoothness into Hölder spaces16
Further generalizations of the Ishikawa algorithm16
Moving average control chart under neutrosophic statistics16
Immersed finite element methods for convection diffusion equations16
A high-order stabilizer-free weak Galerkin finite element method on nonuniform time meshes for subdiffusion problems16
AVD edge-colorings of cubic Halin graphs16
Blow-up of solutions to fractional differential inequalities involving $ \psi $-Caputo fractional derivatives of different orders16
Finite soft-open sets: characterizations, operators and continuity16
A novel fixed-point based two-step inertial algorithm for convex minimization in deep learning data classification16
Dynamic optimal operational control for complex systems with nonlinear external loop disturbances16
Topologically indistinguishable relations and separation axioms16
General decay of solutions for a von Karman plate system with general type of relaxation functions on the boundary16
Nonexistence for fractional differential inequalities and systems in the sense of Erdélyi-Kober16
Nonhomogeneous nonlinear integral equations on bounded domains16
The properties of generalized John domains in metric spaces16
An application of $ p $-adic Baker method to a special case of Jeśmanowicz' conjecture16
The image of polynomials in one variable on $ 2\times 2 $ upper triangular matrix algebras16
New extension of quasi-$ M $-hypnormal operators15
Cryptanalysis of hyperchaotic S-box generation and image encryption15
Fixed point results of fuzzy mappings with applications15
Modeling and analysis of demand-supply dynamics with a collectability factor using delay differential equations in economic growth via the Caputo operator15
New results on a coupled system for second-order pantograph equations with $ \mathcal{ABC} $ fractional derivatives15
Pricing vanilla, barrier, and lookback options under two-scale stochastic volatility driven by two approximate fractional Brownian motions15
Diverse wave solutions for the (2+1)-dimensional Zoomeron equation using the modified extended direct algebraic approach15
Hopf bifurcation and Turing pattern of a diffusive Rosenzweig-MacArthur model with fear factor15
Fractional order modeling and analysis of dynamics of stem cell differentiation in complex network15
The Schatten $ p $-quasinorm on Euclidean Jordan algebras15
Remarkable series concerning $ \binom{3n}{n} $ and harmonic numbers in numerators15
Sweeping surface due to rotation minimizing Darboux frame in Euclidean 3-space $ \mathbb{E}^{3} $15
Hopf bifurcation analysis in a delayed diffusive predator-prey system with nonlocal competition and generalist predator15
Linear regression estimation using intraday high frequency data15
Qualitative study of Caputo Erdélyi-Kober stochastic fractional delay differential equations15
Existence of stable standing waves for the nonlinear Schrödinger equation with attractive inverse-power potentials15
Meshfree numerical integration for some challenging multi-term fractional order PDEs15
Finite-volume two-step scheme for solving the shear shallow water model15
Modal characteristics and evolutive response of a bar in peridynamics involving a mixed operator15
An analytical approach of multi-dimensional Navier-Stokes equation in the framework of natural transform15
Semi-topological properties of the Marcus-Wyse topological spaces15
Piecewise differential equations: theory, methods and applications15
Extremal graphs and bounds for general Gutman index14
Properties for fourth order discontinuous differential operators with eigenparameter dependent boundary conditions14
Application of fixed point result to solve integral equation in the setting of graphical Branciari $ {\aleph } $-metric spaces14
Application of Fisher information to CMOS noise estimation14
Advanced study of nonlinear partial differential equations in ion-acoustic and light pulses: solitons, chaos, and energy perspectives14
Global stability of $ \mathbb{S\, E\, I}_{A}\mathbb{I}_{S}\mathbb{V} $ epidemic models with two discrete time delays and control action14
Composite trapezoidal quadrature for computing hypersingular integrals on interval14
Multi-scale Hochschild spectral analysis on graph data14
Exploration of indispensable Banach-space valued functions14
A new unconditionally stable implicit numerical scheme for fractional diffusive epidemic model14
On concurrent vector fields on Riemannian manifolds14
Asymptotic analysis of high frequency modes for thin elastic plates14
Some variants on Mercer's Hermite-Hadamard like inclusions of interval-valued functions for strong Kernel14
Selection of artificial neutral networks based on cubic intuitionistic fuzzy Aczel-Alsina aggregation operators14
Classes of completely monotone and Bernstein functions defined by convexity properties of their spectral measures14
Commensalism and syntrophy in the chemostat: a unifying graphical approach14
Monodromic singularities without curves of zero angular speed14
Input-to-state stability for discrete-time switched systems by using Lyapunov functions with relaxed constraints14
Existence of Sobolev regular solutions for the incompressible flow of liquid crystals in three dimensions14
A conservative exponential integrators method for fractional conservative differential equations14
Computing quaternion matrix pseudoinverse with zeroing neural networks14
An accelerated adaptive two-step Levenberg–Marquardt method with the modified Metropolis criterion14
Generalized (edge-)connectivity of join, corona and cluster graphs14
A variety of dynamic $ \alpha $-conformable Steffensen-type inequality on a time scale measure space14
Bang-bang control for uncertain random continuous-time switched systems14
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