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 2021-10-01 to 2025-10-01.)
ArticleCitations
$ k $th powers in a generalization of Piatetski-Shapiro sequences91
Nonlinear normal modes in a network with cubic couplings83
Solvability and stability analysis of a coupled system involving generalized fractional derivatives82
On asymptotic correlation coefficient for some order statistics81
Boundedness and higher integrability of minimizers to a class of two-phase free boundary problems under non-standard growth conditions79
Mesoscopic glass transition model: Influence of the cooling rate on the structure refinement79
Smoothing properties of the fractional Gauss-Weierstrass semi-group in Morrey smoothness spaces74
The security analysis of the key exchange protocol based on the matrix power function defined over a family of non-commuting groups72
Least energy sign-changing solutions for a class of fractional $ (p, q) $-Laplacian problems with critical growth in $ \mathbb{R}^N $63
Metric geometric means with arbitrary weights of positive definite matrices involving semi-tensor products55
Pseudo subalgebras and pseudo filters in pseudo BE-algebras50
Repeated-root constacyclic codes of length $ p_1p_2^t p^s $ and their dual codes50
A priori estimates for the free boundary problem of incompressible inviscid Boussinesq and MHD-Boussinesq equations without heat diffusion48
On a fuzzy bipolar metric setting with a triangular property and an application on integral equations47
An application of Pascal distribution involving Kamali type related to leaf like domain46
Stability analysis of a multiscale model including cell-cycle dynamics and populations of quiescent and proliferating cells46
Stability analysis of new generalized mean-square stochastic fractional differential equations and their applications in technology44
Synchronization robustness analysis of memristive-based neural networks with deviating arguments and stochastic perturbations44
Exponential stability of stochastic complex networks with multi-weights driven by second-order process based on graph theory43
Signed double Italian domination43
The ADMM algorithm for audio signal recovery and performance modification with the dual Douglas-Rachford dynamical system43
Discontinuous solutions of delay fractional integral equation via measures of noncompactness43
A breakdown-free block conjugate gradient method for large-scale discriminant analysis42
Moran random walk with reset and short memory41
Soft almost weakly continuous functions and soft Hausdorff spaces41
The data-driven localized wave solutions of KdV-type equations via physics-informed neural networks with a priori information40
A hybrid framework for mean-CVaR portfolio selection under jump-diffusion processes: Combining cross-entropy method with beluga whale optimization39
Correction: Metallic deformation on para-Sasaki-like para-Norden manifold39
Qualitative analytical results of complex order nonlinear fractional differential equations with robust control scheme38
Martingale transforms in martingale Hardy spaces with variable exponents37
On the construction of stable periodic solutions for the dynamical motion of AC machines37
An efficient Fourier spectral method and error analysis for the fourth order problem with periodic boundary conditions and variable coefficients36
Evolutionary problems driven by variational inequalities with multiple integral functionals35
Finite-time stability and uniqueness theorem of solutions of nabla fractional $ (q, h) $-difference equations with non-Lipschitz and nonlinear conditions35
On the sixth power mean values of a generalized two-term exponential sums35
A regularity criterion via horizontal components of velocity and molecular orientations for the 3D nematic liquid crystal flows34
Optimized distributed fusion filtering for singular systems with fading measurements and stochastic nonlinearity34
Trajectory tracking approach to logical (control) networks33
On a class of weakly Landsberg metrics composed by a Riemannian metric and a conformal 1-form33
Analysis of a stochastic epidemic model for cholera disease based on probability density function with standard incidence rate33
Composition operators on Hardy-Sobolev spaces with bounded reproducing kernels33
A posteriori mesh method for a system of singularly perturbed initial value problems33
Shape reconstruction of acoustic obstacle with linear sampling method and neural network32
The even vertex magic total labelings of $ t $-fold wheels32
Asymptotic behavior of Levin-Nohel nonlinear difference system with several delays31
Global stability of traveling fronts of a diffusion system with the Belousov-Zhabotinskii reaction31
Idempotent completion of right suspended categories31
Eighth order, Numerov-like schemes with coefficients tailored for superior performance on ODE systems with oscillatory solutions31
On Hadamard inequalities for refined convex functions via strictly monotone functions31
Simultaneous blow-up of the solution for a singular parabolic system with concentrated sources31
Energy decay of solution for nonlinear delayed transmission problem31
Nonlinear wave dynamics in dispersive media: analytical insights from the nonlinear modified generalized Vakhnenko equation30
Hyers-Ulam-Mittag-Leffler stability of fractional differential equations with two caputo derivative using fractional fourier transform30
Asymptotics for fractional reaction diffusion equations in periodic media30
A new APSO-SPC method for parameter identification problem with uncertainty caused by random measurement errors29
Corrected optimal subsampling for a class of generalized linear measurement error models29
Symmetry analysis for nonlinear fractional terminal system under $ w $-Hilfer fractional derivative in different weighted Banach spaces29
Rumor model on social networks contemplating self-awareness and saturated transmission rate29
A new class of degenerate unified Bernoulli-Euler Hermite polynomials of Apostol type29
Clustering property for quantum Markov chains on the comb graph29
A note on the hybrid power mean involving the cubic Gauss sums and Kloosterman sums28
Multi-fractional-differential operators for a thermo-elastic magnetic response in an unbounded solid with a spherical hole via the DPL model28
A particular matrix with exponential form, its inversion and some norms28
Model predictive control based integration of pricing and production planning28
Equivalent characterizations of harmonic Teichmüller mappings28
Enhanced decision model for sustainable energy solutions under bipolar hesitant fuzzy soft aggregation information27
The research of $({\rm{G}}, {\rm{w}})$-Chaos and G-Lipschitz shadowing property27
Key generic technology research and development decision-making in Stackelberg competition27
On the equilibrium strategy of linear-quadratic time-inconsistent control problems27
Positivity analysis for mixed order sequential fractional difference operators27
Intuitionistic fuzzy monotonic DOWA operators27
Generalizations of AM-GM-HM means inequalities27
Sweeping surfaces generated by involutes of a spacelike curve with a timelike binormal in Minkowski 3-space26
Dirichlet and Neumann boundary value problems for bi-polyanalytic functions on the bicylinder26
A characterization of $ b $-generalized skew derivations on a Lie ideal in a prime ring26
Synergy of machine learning and the Einstein Choquet integral with LOPCOW and fuzzy measures for sustainable solid waste management26
A comprehensive study of a feedback control problem with a state-dependent implicit pantograph equation of Chandrasekhar type26
Retraction notice to "The Generalized Riemann Hypothesis on elliptic complex fields" [<i>AIMS Mathematics</i> 8(11) (2023) 25772–25803]26
Fuzzy fractional estimates of Swift-Hohenberg model obtained using the Atangana-Baleanu fractional derivative operator25
Neighbor sum distinguishing total choice number of IC-planar graphs with restrictive conditions25
On optimal molecular trees with respect to Sombor indices25
Rigidity of almost Ricci solitons on compact Riemannian manifolds25
Expectation formulas for $ q $-probability distributions: a new extension via Andrews-Askey integral25
A method for solving the Cauchy problem for Duffng type integro-differential equation25
Model averaging based on weighted generalized method of moments with missing responses25
The inverse uncertainty distribution of the solutions to a class of higher-order uncertain differential equations25
Analysis of stress-strength reliability with m-step strength levels under type I censoring and Gompertz distribution25
Effect of immigration in a predator-prey system: Stability, bifurcation and chaos25
Equivalence of constacyclic codes over finite non-chain ring and quantum codes24
Wronskian-type determinant solutions of the nonlocal derivative nonlinear Schrödinger equation24
Barycentric rational collocation method for semi-infinite domain problems24
Some Tsallis entropy measures in concomitants of generalized order statistics under iterated FGM bivariate distribution24
Finite-time adaptive prescribed performance DSC for pure feedback nonlinear systems with input quantization and unmodeled dynamics24
Exploring Chebyshev polynomial approximations: Error estimates for functions of bounded variation24
Solitonic effect on relativistic string cloud spacetime attached with strange quark matter24
Boundedness of Marcinkiewicz integral operator of variable order in grand Herz-Morrey spaces24
Decision support system based on complex T-Spherical fuzzy power aggregation operators24
Optimal polynomial stability of the Timoshenko system with single fractional boundary dissipation24
Hardy-type spaces and Hardy-type inequalities24
Soft order topology and graph comparison based on soft order24
Analytical solution of the systems of nonlinear fractional partial differential equations using conformable Laplace transform iterative method24
Construction of marginally coupled designs with mixed-level qualitative factors24
Timelike acc-slant curves in Minkowski 3-space24
Enhancing safety for blind and visually impaired people: intelligent fire detection using deep learning and the lemurs optimization algorithm23
Efficient algorithm for addressing large-scale linear fractional program problems23
Weight-2 input sequences of $ 1/n $ convolutional codes from linear systems point of view23
Output-based event-triggered control for discrete-time systems with three types of performance analysis23
Fast hybrid explicit group methods for solving 2D fractional advection-diffusion equation23
Robust smoothing of left-censored time series data with a dynamic linear model to infer SARS-CoV-2 RNA concentrations in wastewater23
A new 4D hyperchaotic system and its control23
T-spherical linear Diophantine fuzzy aggregation operators for multiple attribute decision-making23
Theoretical analysis of a class of $ \varphi $-Caputo fractional differential equations in Banach space23
Transient thermoelastic responses in spherical elastic porous media using a fractional two-phase-lag model with space-time nonlocality23
Stieltjes integral boundary value problem involving a nonlinear multi-term Caputo-type sequential fractional integro-differential equation23
Topological visualization and graph analysis of rough sets via neighborhoods: A medical application using human heart data22
An explicit numerical method for the conservative Allen–Cahn equation on a cubic surface22
Finding the Nash equilibria of $ n $-person noncooperative games via solving the system of equations22
Explicit evaluations of subfamilies of the hypergeometric function $ _3F_2(1) $ along with specific fractional integrals22
Integrated ISPH approach with artificial neural network for magnetic influences on double diffusion of a non-Newtonian NEPCM in a curvilinear cavity22
Reparameterized flexible cure models with direct interpretation via the lambert W function22
Entropy based extended TOPOSIS method for MCDM problem with fuzzy credibility numbers22
Analysis of the far-field behavior of waves in magnetogasdynamic21
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 $21
Chaotic perturbations of solitons in complex conformable Maccari system21
Optimal feedback control for a class of fed-batch fermentation processes using switched dynamical system approach21
Existence and uniqueness of positive solution of a nonlinear differential equation with higher order Erdélyi-Kober operators21
On CR-lightlike submanifolds in a golden semi-Riemannian manifold21
Existence and asymptotic behavior of normalized solutions for the modified Kirchhoff equations in $ \mathbb{R}^3 $21
Extended Moreno-García cosine products21
Linear-quadratic-Gaussian mean-field games driven by Poisson jumps with major and minor agents21
Specific types of Lindelöfness and compactness based on novel supra soft operator21
Fixed point theorem on $ CAT_{p}(0) $ metric spaces with applications in solving matrix equations and fractional differential equations21
Split-step quintic B-spline collocation methods for nonlinear Schrödinger equations21
Comparing regional and provincial-wide COVID-19 models with physical distancing in British Columbia21
A novel quaternion linear matrix equation solver through zeroing neural networks with applications to acoustic source tracking21
A novel nonmonotone trust region method based on the Metropolis criterion for solving unconstrained optimization21
Multivariate Mittag-Leffler function and related fractional integral operators21
Optimizing Tensor-Train Decomposition for efficient edge AI: Accelerated decoding via GEMM and reshape minimization20
A Comprehensive study on $ (\alpha, \beta) $-multi-granulation bipolar fuzzy rough sets under bipolar fuzzy preference relation20
Circular evolutes and involutes of spacelike framed curves and their duality relations in Minkowski 3-space20
Special non-lightlike ruled surfaces in Minkowski 3-space20
New class of convex interval-valued functions and Riemann Liouville fractional integral inequalities20
Study of nonlinear generalized Fisher equation under fractional fuzzy concept20
Piecewise approximate analytical solutions of high-order reaction-diffusion singular perturbation problems with boundary and interior layers20
Some new concepts in fuzzy calculus for up and down <i>λ</i>-convex fuzzy-number valued mappings and related inequalities20
Restricted partitions and convex topologies20
The generalized circular intuitionistic fuzzy set and its operations20
Analysis study on multi-order $ \varrho $-Hilfer fractional pantograph implicit differential equation on unbounded domains19
A robust uniform practical stability approach for Caputo fractional hybrid systems19
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 network19
Characterizing the functional ANOVA model for repeated measures via PCA application to biomechanical data19
Reliability analysis of independent Burr-X competing risks model based on improved adaptive progressively Type-Ⅱ censored samples with applications19
Some generalized matrix means inequalities19
Analyzing the dynamics of fractional spatio-temporal $ \mathrm{SEIR} $ epidemic model19
Generalized common best proximity point results in fuzzy multiplicative metric spaces19
Existence results of mild solutions for nonlocal fractional delay integro-differential evolution equations via Caputo conformable fractional derivative19
Several co-associative laws and pre-$ B $-algebras19
Hankel inequalities for bounded turning functions in the domain of cosine Hyperbolic function19
Statistical modeling with a novel distribution: Inference, information measures, and applications to inflation rates and mechanical failure data19
Semi-$ (E, F) $-convexity in complex programming problems19
Exponents of a class of special three-colored primitive digraphs with $ n $ vertices in graph theory19
Numerical method for a compound Poisson risk model with liquid reserves and proportional investment19
Existence and uniqueness of solutions for the two-dimensional Euler and Navier-Stokes equations with initial data in $ H^1 $19
New solutions of time-space fractional coupled Schrödinger systems18
Analytical methods in fractional biological population modeling: Unveiling solitary wave solutions18
Analysis of bifurcation, chaotic structures, lump and $ M-W $-shape soliton solutions to $ (2+1) $ complex modified Korteweg-de-Vries system18
A new solitary wave solution of the fractional phenomena Bogoyavlenskii equation via Bäcklund transformation18
Uncertain logistic regression models18
Non-Lipschitz heterogeneous reaction with a p-Laplacian operator18
Solitons unveilings and modulation instability analysis for sixth-order coupled nonlinear Schrödinger equations in fiber bragg gratings18
Traffic Transformer: Transformer-based framework for temporal traffic accident prediction18
The connection between ordinary and soft $ \sigma $-algebras with applications to information structures18
A quasi-conjugate bivariate prior distribution suitable for studying dependence in reinsurance and non reinsurance models with and without a layer18
Bivariate exponentiated generalized inverted exponential distribution with applications on dependent competing risks data18
Nonlinear robust control of trajectory-following for autonomous ground electric vehicles with active front steering system18
A high-order stabilizer-free weak Galerkin finite element method on nonuniform time meshes for subdiffusion problems17
Generalized Newton-Leibniz formula and the embedding of the Sobolev functions with dominating mixed smoothness into Hölder spaces17
Computing the zeros of the Szegö kernel for doubly connected regions using conformal mapping17
A generalization of identities in groupoids by functions17
AVD edge-colorings of cubic Halin graphs17
Local well-posedness and blow-up criterion to a nonlinear shallow water wave equation17
Moving average control chart under neutrosophic statistics17
Further generalizations of the Ishikawa algorithm17
Nonhomogeneous nonlinear integral equations on bounded domains17
Existence results of sequential fractional Caputo sum-difference boundary value problem17
Generalized first-order second-moment method for uncertain random structures17
The properties of generalized John domains in metric spaces17
Dynamic optimal operational control for complex systems with nonlinear external loop disturbances17
General decay of solutions for a von Karman plate system with general type of relaxation functions on the boundary17
Finite soft-open sets: characterizations, operators and continuity17
Enhancing thermal performance: A numerical study of MHD double diffusive natural convection in a hybrid nanofluid-filled quadrantal enclosure17
An application of $ p $-adic Baker method to a special case of Jeśmanowicz' conjecture17
Nonexistence for fractional differential inequalities and systems in the sense of Erdélyi-Kober16
On a mixed nonlinear boundary value problem with the right Caputo fractional derivative and multipoint closed boundary conditions16
Online scheduling on a single machine with one restart for all jobs to minimize the weighted makespan16
Input-to-state stability for discrete-time switched systems by using Lyapunov functions with relaxed constraints16
Monodromic singularities without curves of zero angular speed16
Adaptive state observer event-triggered consensus control for multi-agent systems with actuator failures16
Bang-bang control for uncertain random continuous-time switched systems16
The image of polynomials in one variable on $ 2\times 2 $ upper triangular matrix algebras16
Adaptive predefined-time robust control for nonlinear time-delay systems with different power Hamiltonian functions16
An algorithm for variational inclusion problems including quasi-nonexpansive mappings with applications in osteoporosis prediction16
A new class of directed strongly regular Cayley graphs over dicyclic groups16
Extremal graphs and bounds for general Gutman index16
Pointwise superconvergence of block finite elements for the three-dimensional variable coefficient elliptic equation16
Efficient numerical approaches with accelerated graphics processing unit (GPU) computations for Poisson problems and Cahn-Hilliard equations16
Exploration of indispensable Banach-space valued functions16
Fixed point results of fuzzy mappings with applications16
Applications of Hölder-İşcan inequality for $ n $-times differentiable $ (s, m) $-convex functions16
Separating invariants for certain representations of the elementary Abelian $ p $-groups of rank two16
A note on the generalized Gaussian Estrada index and Gaussian subgraph centrality of graphs16
Multi-scale Hochschild spectral analysis on graph data16
Simple PKE schemes from the TSPEM problem16
Multiple solutions to Kirchhoff-Schrödinger equations involving the $ p(\cdot) $-Laplace-type operator16
Approximation of the initial value for damped nonlinear hyperbolic equations with random Gaussian white noise on the measurements16
Exploring assisting and opposing flow characteristics in a saturated darcy medium with non-uniform heat source or sink and suspended microbes15
Innovative approach for developing solitary wave solutions for the fractional modified partial differential equations15
A Faber-Krahn inequality for nonhomogeneous wedge-like membranes15
An age-structured SIPC model of cervical cancer with immunotherapy15
Medical robotic engineering selection based on square root neutrosophic normal interval-valued sets and their aggregated operators15
Deterministic and stochastic model for the hepatitis C with different types of virus genome15
Averaging principle for two-time-scale stochastic functional differential equations with past-dependent switching15
Incomplete exponential type of $ R $-matrix functions and their properties15
Limited type subsets of locally convex spaces15
On elliptic valued b-metric spaces and some new fixed point results with an application15
A novel algorithm for solving sum of several affine fractional functions15
On the stability of Fractal interpolation functions with variable parameters15
Cryptanalysis of hyperchaotic S-box generation and image encryption15
Correction: On a new flexible Lomax distribution: statistical properties and estimation procedures with applications to engineering and medical data15
A noise-tolerant zeroing neural network with fixed-time convergence for solving multi-linear systems with nonsingular $ \mathcal{M} $-tensors15
Complex dynamics of a discretized Rosenzweig–MacArthur prey-predator model with fear effect on prey and prey refuge15
On subpolygroup commutativity degree of finite polygroups15
Topologically indistinguishable relations and separation axioms15
Features gradient-based signals selection algorithm of linear complexity for convolutional neural networks15
Controllability and observability of discretized satellite magnetic attitude control system15
Certain exponential type $ m $-convexity inequalities for fractional integrals with exponential kernels15
The Markov-switching threshold BLGARCH model14
The impact of digital economy on the financial risk ripple effect: evidence from China14
Properties for fourth order discontinuous differential operators with eigenparameter dependent boundary conditions14
Asymptotic analysis of high frequency modes for thin elastic plates14
Hopf bifurcation analysis in a delayed diffusive predator-prey system with nonlocal competition and generalist predator14
Blow-up of solutions to fractional differential inequalities involving $ \psi $-Caputo fractional derivatives of different orders14
Computing quaternion matrix pseudoinverse with zeroing neural networks14
On concurrent vector fields on Riemannian manifolds14
A new unconditionally stable implicit numerical scheme for fractional diffusive epidemic model14
Advanced study of nonlinear partial differential equations in ion-acoustic and light pulses: solitons, chaos, and energy perspectives14
Application of Fisher information to CMOS noise estimation14
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
Application of fixed point result to solve integral equation in the setting of graphical Branciari $ {\aleph } $-metric spaces14
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