AIMS Mathematics

Papers
(The TQCC of AIMS Mathematics is 3. 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 2021-12-01 to 2025-12-01.)
ArticleCitations
$ k $th powers in a generalization of Piatetski-Shapiro sequences93
On asymptotic correlation coefficient for some order statistics83
Nonlinear normal modes in a network with cubic couplings83
Boundedness and higher integrability of minimizers to a class of two-phase free boundary problems under non-standard growth conditions82
Smoothing properties of the fractional Gauss-Weierstrass semi-group in Morrey smoothness spaces81
The security analysis of the key exchange protocol based on the matrix power function defined over a family of non-commuting groups80
Least energy sign-changing solutions for a class of fractional $ (p, q) $-Laplacian problems with critical growth in $ \mathbb{R}^N $75
Metric geometric means with arbitrary weights of positive definite matrices involving semi-tensor products74
Pseudo subalgebras and pseudo filters in pseudo BE-algebras66
A priori estimates for the free boundary problem of incompressible inviscid Boussinesq and MHD-Boussinesq equations without heat diffusion56
On a fuzzy bipolar metric setting with a triangular property and an application on integral equations55
An application of Pascal distribution involving Kamali type related to leaf like domain51
Stability analysis of a multiscale model including cell-cycle dynamics and populations of quiescent and proliferating cells49
Stability analysis of new generalized mean-square stochastic fractional differential equations and their applications in technology48
Synchronization robustness analysis of memristive-based neural networks with deviating arguments and stochastic perturbations48
Signed double Italian domination47
Discontinuous solutions of delay fractional integral equation via measures of noncompactness47
The ADMM algorithm for audio signal recovery and performance modification with the dual Douglas-Rachford dynamical system46
The data-driven localized wave solutions of KdV-type equations via physics-informed neural networks with a priori information45
Correction: Metallic deformation on para-Sasaki-like para-Norden manifold45
Soft almost weakly continuous functions and soft Hausdorff spaces45
A hybrid framework for mean-CVaR portfolio selection under jump-diffusion processes: Combining cross-entropy method with beluga whale optimization45
A breakdown-free block conjugate gradient method for large-scale discriminant analysis45
Qualitative analytical results of complex order nonlinear fractional differential equations with robust control scheme43
On the construction of stable periodic solutions for the dynamical motion of AC machines42
Martingale transforms in martingale Hardy spaces with variable exponents42
An efficient Fourier spectral method and error analysis for the fourth order problem with periodic boundary conditions and variable coefficients42
Evolutionary problems driven by variational inequalities with multiple integral functionals41
Finite-time stability and uniqueness theorem of solutions of nabla fractional $ (q, h) $-difference equations with non-Lipschitz and nonlinear conditions40
On the sixth power mean values of a generalized two-term exponential sums40
A regularity criterion via horizontal components of velocity and molecular orientations for the 3D nematic liquid crystal flows40
Analysis of a stochastic epidemic model for cholera disease based on probability density function with standard incidence rate39
Optimized distributed fusion filtering for singular systems with fading measurements and stochastic nonlinearity39
Composition operators on Hardy-Sobolev spaces with bounded reproducing kernels38
Trajectory tracking approach to logical (control) networks38
The even vertex magic total labelings of $ t $-fold wheels37
A posteriori mesh method for a system of singularly perturbed initial value problems37
On a class of weakly Landsberg metrics composed by a Riemannian metric and a conformal 1-form37
Shape reconstruction of acoustic obstacle with linear sampling method and neural network35
On Hadamard inequalities for refined convex functions via strictly monotone functions34
Asymptotic behavior of Levin-Nohel nonlinear difference system with several delays34
Simultaneous blow-up of the solution for a singular parabolic system with concentrated sources34
Idempotent completion of right suspended categories34
Nonlinear wave dynamics in dispersive media: analytical insights from the nonlinear modified generalized Vakhnenko equation33
Energy decay of solution for nonlinear delayed transmission problem33
Eighth order, Numerov-like schemes with coefficients tailored for superior performance on ODE systems with oscillatory solutions33
Asymptotics for fractional reaction diffusion equations in periodic media33
Global stability of traveling fronts of a diffusion system with the Belousov-Zhabotinskii reaction33
Rumor model on social networks contemplating self-awareness and saturated transmission rate32
A new APSO-SPC method for parameter identification problem with uncertainty caused by random measurement errors32
Corrected optimal subsampling for a class of generalized linear measurement error models32
A particular matrix with exponential form, its inversion and some norms31
Key generic technology research and development decision-making in Stackelberg competition31
Multi-fractional-differential operators for a thermo-elastic magnetic response in an unbounded solid with a spherical hole via the DPL model31
A note on the hybrid power mean involving the cubic Gauss sums and Kloosterman sums31
Enhanced decision model for sustainable energy solutions under bipolar hesitant fuzzy soft aggregation information31
Equivalent characterizations of harmonic Teichmüller mappings31
Positivity analysis for mixed order sequential fractional difference operators31
Dirichlet and Neumann boundary value problems for bi-polyanalytic functions on the bicylinder30
Intuitionistic fuzzy monotonic DOWA operators30
Generalizations of AM-GM-HM means inequalities30
Retraction notice to "The Generalized Riemann Hypothesis on elliptic complex fields" [<i>AIMS Mathematics</i> 8(11) (2023) 25772–25803]30
The research of $({\rm{G}}, {\rm{w}})$-Chaos and G-Lipschitz shadowing property30
Rigidity of almost Ricci solitons on compact Riemannian manifolds29
Synergy of machine learning and the Einstein Choquet integral with LOPCOW and fuzzy measures for sustainable solid waste management29
Neighbor sum distinguishing total choice number of IC-planar graphs with restrictive conditions29
Analysis of stress-strength reliability with m-step strength levels under type I censoring and Gompertz distribution29
A characterization of $ b $-generalized skew derivations on a Lie ideal in a prime ring29
A comprehensive study of a feedback control problem with a state-dependent implicit pantograph equation of Chandrasekhar type29
Expectation formulas for $ q $-probability distributions: a new extension via Andrews-Askey integral29
Sweeping surfaces generated by involutes of a spacelike curve with a timelike binormal in Minkowski 3-space29
Fuzzy fractional estimates of Swift-Hohenberg model obtained using the Atangana-Baleanu fractional derivative operator29
Analysis of the far-field behavior of waves in magnetogasdynamic28
Model averaging based on weighted generalized method of moments with missing responses28
On CR-lightlike submanifolds in a golden semi-Riemannian manifold28
Existence and asymptotic behavior of normalized solutions for the modified Kirchhoff equations in $ \mathbb{R}^3 $28
Barycentric rational collocation method for semi-infinite domain problems28
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 $27
Chaotic perturbations of solitons in complex conformable Maccari system27
Extended Moreno-García cosine products27
A novel quaternion linear matrix equation solver through zeroing neural networks with applications to acoustic source tracking27
Comparing regional and provincial-wide COVID-19 models with physical distancing in British Columbia27
Analytical solution of the systems of nonlinear fractional partial differential equations using conformable Laplace transform iterative method26
Nonlinear robust control of trajectory-following for autonomous ground electric vehicles with active front steering system26
New solutions of time-space fractional coupled Schrödinger systems26
Optimal feedback control for a class of fed-batch fermentation processes using switched dynamical system approach26
Wronskian-type determinant solutions of the nonlocal derivative nonlinear Schrödinger equation26
The generalized circular intuitionistic fuzzy set and its operations26
Analyzing the dynamics of fractional spatio-temporal $ \mathrm{SEIR} $ epidemic model26
Solitonic effect on relativistic string cloud spacetime attached with strange quark matter26
Some Tsallis entropy measures in concomitants of generalized order statistics under iterated FGM bivariate distribution26
T-spherical linear Diophantine fuzzy aggregation operators for multiple attribute decision-making26
Mathematical modeling and improved memetic algorithm for the extended simplified discounted {0-1} knapsack problem with randomness26
A new class of degenerate unified Bernoulli-Euler Hermite polynomials of Apostol type26
Construction of marginally coupled designs with mixed-level qualitative factors25
Timelike acc-slant curves in Minkowski 3-space25
Output-based event-triggered control for discrete-time systems with three types of performance analysis25
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 network25
Hardy-type spaces and Hardy-type inequalities25
Optimal polynomial stability of the Timoshenko system with single fractional boundary dissipation25
Exploring Chebyshev polynomial approximations: Error estimates for functions of bounded variation25
Equivalence of constacyclic codes over finite non-chain ring and quantum codes25
Finite-time adaptive prescribed performance DSC for pure feedback nonlinear systems with input quantization and unmodeled dynamics25
Finding the Nash equilibria of $ n $-person noncooperative games via solving the system of equations25
Theoretical analysis of a class of $ \varphi $-Caputo fractional differential equations in Banach space24
Topological visualization and graph analysis of rough sets via neighborhoods: A medical application using human heart data24
Integrated ISPH approach with artificial neural network for magnetic influences on double diffusion of a non-Newtonian NEPCM in a curvilinear cavity24
Solvability and stability analysis of a coupled system involving generalized fractional derivatives24
Weight-2 input sequences of $ 1/n $ convolutional codes from linear systems point of view24
Robust smoothing of left-censored time series data with a dynamic linear model to infer SARS-CoV-2 RNA concentrations in wastewater24
Transient thermoelastic responses in spherical elastic porous media using a fractional two-phase-lag model with space-time nonlocality24
Model predictive control based integration of pricing and production planning24
Explicit evaluations of subfamilies of the hypergeometric function $ _3F_2(1) $ along with specific fractional integrals24
Efficient algorithm for addressing large-scale linear fractional program problems24
Enhancing safety for blind and visually impaired people: intelligent fire detection using deep learning and the lemurs optimization algorithm24
Reparameterized flexible cure models with direct interpretation via the lambert W function24
Some new concepts in fuzzy calculus for up and down <i>λ</i>-convex fuzzy-number valued mappings and related inequalities24
Exponential stability of stochastic complex networks with multi-weights driven by second-order process based on graph theory23
Effect of immigration in a predator-prey system: Stability, bifurcation and chaos23
Fixed point theorem on $ CAT_{p}(0) $ metric spaces with applications in solving matrix equations and fractional differential equations23
Finite-time transient control of uncertain nonlinear systems based on prescribed performance and disturbance observer23
Linear-quadratic-Gaussian mean-field games driven by Poisson jumps with major and minor agents23
Boundedness of Marcinkiewicz integral operator of variable order in grand Herz-Morrey spaces23
Stieltjes integral boundary value problem involving a nonlinear multi-term Caputo-type sequential fractional integro-differential equation23
A novel nonmonotone trust region method based on the Metropolis criterion for solving unconstrained optimization23
New class of convex interval-valued functions and Riemann Liouville fractional integral inequalities22
Optimizing Tensor-Train Decomposition for efficient edge AI: Accelerated decoding via GEMM and reshape minimization22
Multivariate Mittag-Leffler function and related fractional integral operators22
Specific types of Lindelöfness and compactness based on novel supra soft operator22
Restricted partitions and convex topologies22
Existence and uniqueness of positive solution of a nonlinear differential equation with higher order Erdélyi-Kober operators22
A Comprehensive study on $ (\alpha, \beta) $-multi-granulation bipolar fuzzy rough sets under bipolar fuzzy preference relation22
Existence and uniqueness of solutions for the two-dimensional Euler and Navier-Stokes equations with initial data in $ H^1 $21
Piecewise approximate analytical solutions of high-order reaction-diffusion singular perturbation problems with boundary and interior layers21
Study of nonlinear generalized Fisher equation under fractional fuzzy concept21
Numerical method for a compound Poisson risk model with liquid reserves and proportional investment21
Statistical modeling with a novel distribution: Inference, information measures, and applications to inflation rates and mechanical failure data21
Uncertain logistic regression models21
Special non-lightlike ruled surfaces in Minkowski 3-space21
Generalized common best proximity point results in fuzzy multiplicative metric spaces21
Characterizing the functional ANOVA model for repeated measures via PCA application to biomechanical data21
Semi-$ (E, F) $-convexity in complex programming problems21
A robust uniform practical stability approach for Caputo fractional hybrid systems21
Non-Lipschitz heterogeneous reaction with a p-Laplacian operator21
Circular evolutes and involutes of spacelike framed curves and their duality relations in Minkowski 3-space21
Exponents of a class of special three-colored primitive digraphs with $ n $ vertices in graph theory21
Several co-associative laws and pre-$ B $-algebras21
Some generalized matrix means inequalities21
Reliability analysis of independent Burr-X competing risks model based on improved adaptive progressively Type-Ⅱ censored samples with applications21
A quasi-conjugate bivariate prior distribution suitable for studying dependence in reinsurance and non reinsurance models with and without a layer20
Moran random walk with reset and short memory20
Fast hybrid explicit group methods for solving 2D fractional advection-diffusion equation20
Soft order topology and graph comparison based on soft order20
Analytical methods in fractional biological population modeling: Unveiling solitary wave solutions20
Mesoscopic glass transition model: Influence of the cooling rate on the structure refinement20
Hankel inequalities for bounded turning functions in the domain of cosine Hyperbolic function20
On optimal molecular trees with respect to Sombor indices20
Certain classifications on quadrics in simply isotropic space $ \mathbb{I}^{3} $20
On the equilibrium strategy of linear-quadratic time-inconsistent control problems20
Change point estimation of hazard rates in contaminated Birnbaum-Saunders models with an application to tuberculosis survival data19
Solitons unveilings and modulation instability analysis for sixth-order coupled nonlinear Schrödinger equations in fiber bragg gratings19
Clustering property for quantum Markov chains on the comb graph19
Continuity and analyticity for a generalized two-component short pulse system19
An epidemiological model of the mumps virus via Mittag-Leffler Kernel: Stability analysis and artificial neural network solutions19
Entropy based extended TOPOSIS method for MCDM problem with fuzzy credibility numbers19
A method for solving the Cauchy problem for Duffng type integro-differential equation19
Symmetry analysis for nonlinear fractional terminal system under $ w $-Hilfer fractional derivative in different weighted Banach spaces19
Nonlinear three layer beam system: Well-posedness, asymptotic stability and numerical analysis19
Split-step quintic B-spline collocation methods for nonlinear Schrödinger equations19
Repeated-root constacyclic codes of length $ p_1p_2^t p^s $ and their dual codes19
A new 4D hyperchaotic system and its control19
Decision support system based on complex T-Spherical fuzzy power aggregation operators19
Hyers-Ulam-Mittag-Leffler stability of fractional differential equations with two caputo derivative using fractional fourier transform19
The connection between ordinary and soft $ \sigma $-algebras with applications to information structures19
Generalized Newton-Leibniz formula and the embedding of the Sobolev functions with dominating mixed smoothness into Hölder spaces18
Further generalizations of the Ishikawa algorithm18
AVD edge-colorings of cubic Halin graphs18
Nonhomogeneous nonlinear integral equations on bounded domains18
An explicit numerical method for the conservative Allen–Cahn equation on a cubic surface18
Analysis study on multi-order $ \varrho $-Hilfer fractional pantograph implicit differential equation on unbounded domains18
A new solitary wave solution of the fractional phenomena Bogoyavlenskii equation via Bäcklund transformation18
Dynamic optimal operational control for complex systems with nonlinear external loop disturbances18
Local well-posedness and blow-up criterion to a nonlinear shallow water wave equation18
An application of $ p $-adic Baker method to a special case of Jeśmanowicz' conjecture18
Analysis of bifurcation, chaotic structures, lump and $ M-W $-shape soliton solutions to $ (2+1) $ complex modified Korteweg-de-Vries system18
Bivariate exponentiated generalized inverted exponential distribution with applications on dependent competing risks data18
The properties of generalized John domains in metric spaces18
A high-order stabilizer-free weak Galerkin finite element method on nonuniform time meshes for subdiffusion problems18
General decay of solutions for a von Karman plate system with general type of relaxation functions on the boundary18
Existence results of mild solutions for nonlocal fractional delay integro-differential evolution equations via Caputo conformable fractional derivative18
Traffic Transformer: Transformer-based framework for temporal traffic accident prediction18
The inverse uncertainty distribution of the solutions to a class of higher-order uncertain differential equations18
Existence results of sequential fractional Caputo sum-difference boundary value problem17
Generalized first-order second-moment method for uncertain random structures17
Finite soft-open sets: characterizations, operators and continuity17
Nonexistence for fractional differential inequalities and systems in the sense of Erdélyi-Kober17
Input-to-state stability for discrete-time switched systems by using Lyapunov functions with relaxed constraints17
Online scheduling on a single machine with one restart for all jobs to minimize the weighted makespan17
Enhancing thermal performance: A numerical study of MHD double diffusive natural convection in a hybrid nanofluid-filled quadrantal enclosure17
On a mixed nonlinear boundary value problem with the right Caputo fractional derivative and multipoint closed boundary conditions17
A note on the generalized Gaussian Estrada index and Gaussian subgraph centrality of graphs17
Fixed point results of fuzzy mappings with applications17
An algorithm for variational inclusion problems including quasi-nonexpansive mappings with applications in osteoporosis prediction17
Computing the zeros of the Szegö kernel for doubly connected regions using conformal mapping17
A generalization of identities in groupoids by functions17
Separating invariants for certain representations of the elementary Abelian $ p $-groups of rank two17
Applications of Hölder-İşcan inequality for $ n $-times differentiable $ (s, m) $-convex functions17
The image of polynomials in one variable on $ 2\times 2 $ upper triangular matrix algebras17
On the stability of Fractal interpolation functions with variable parameters16
Medical robotic engineering selection based on square root neutrosophic normal interval-valued sets and their aggregated operators16
On subpolygroup commutativity degree of finite polygroups16
Simple PKE schemes from the TSPEM problem16
Approximation of the initial value for damped nonlinear hyperbolic equations with random Gaussian white noise on the measurements16
Exploration of indispensable Banach-space valued functions16
Bang-bang control for uncertain random continuous-time switched systems16
Topologically indistinguishable relations and separation axioms16
A Faber-Krahn inequality for nonhomogeneous wedge-like membranes16
An age-structured SIPC model of cervical cancer with immunotherapy16
Adaptive state observer event-triggered consensus control for multi-agent systems with actuator failures16
Multiple solutions to Kirchhoff-Schrödinger equations involving the $ p(\cdot) $-Laplace-type operator16
Monodromic singularities without curves of zero angular speed16
Efficient numerical approaches with accelerated graphics processing unit (GPU) computations for Poisson problems and Cahn-Hilliard equations16
Deterministic and stochastic model for the hepatitis C with different types of virus genome16
On elliptic valued b-metric spaces and some new fixed point results with an application16
A novel algorithm for solving sum of several affine fractional functions16
Extremal graphs and bounds for general Gutman index16
Multi-scale Hochschild spectral analysis on graph data16
Pointwise superconvergence of block finite elements for the three-dimensional variable coefficient elliptic equation16
Features gradient-based signals selection algorithm of linear complexity for convolutional neural networks16
Classes of completely monotone and Bernstein functions defined by convexity properties of their spectral measures15
Hopf bifurcation analysis in a delayed diffusive predator-prey system with nonlocal competition and generalist predator15
Blow-up of solutions to fractional differential inequalities involving $ \psi $-Caputo fractional derivatives of different orders15
A new unconditionally stable implicit numerical scheme for fractional diffusive epidemic model15
On concurrent vector fields on Riemannian manifolds15
Application of fixed point result to solve integral equation in the setting of graphical Branciari $ {\aleph } $-metric spaces15
Limited type subsets of locally convex spaces15
Stationary distribution of a stochastic two-species Schoener's competitive system with regime switching15
DDT Theorem over ideal in quadratic field15
Application of Fisher information to CMOS noise estimation15
An analytical approach of multi-dimensional Navier-Stokes equation in the framework of natural transform15
A conservative exponential integrators method for fractional conservative differential equations15
Composite trapezoidal quadrature for computing hypersingular integrals on interval15
Global stability of $ \mathbb{S\, E\, I}_{A}\mathbb{I}_{S}\mathbb{V} $ epidemic models with two discrete time delays and control action15
Finite-volume two-step scheme for solving the shear shallow water model15
The Markov-switching threshold BLGARCH model15
The impact of digital economy on the financial risk ripple effect: evidence from China15
Properties for fourth order discontinuous differential operators with eigenparameter dependent boundary conditions15
Asymptotic analysis of high frequency modes for thin elastic plates15
Existence of Sobolev regular solutions for the incompressible flow of liquid crystals in three dimensions15
Innovative approach for developing solitary wave solutions for the fractional modified partial differential equations15
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