Nonlinear Analysis-Modelling and Control

Papers
(The median citation count of Nonlinear Analysis-Modelling and Control 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 2022-05-01 to 2026-05-01.)
ArticleCitations
Existence and global asymptotic behavior of S-asymptotically periodic solutions for fractional evolution equation with delay46
On stability and convergence of difference schemes for one class of parabolic equations with nonlocal condition29
New results of global Mittag-Leffler synchronization on Caputo fuzzy delayed inertial neural networks27
Convective transport of pulsatile multilayer hybrid nanofluid flow in a composite porous channel26
Event-triggered dynamic output quantized control for 2-D switched systems17
A note on product-convolution for generalized subexponential distributions11
Turing pattern dynamics in a fractional-diffusion oregonator model under PD control10
Spatiotemporal dynamics of a modified Leslie–Gower predator–prey model: Effects of diffusion and taxis-driven movements on pattern formation8
Energetic formulation of the subgroup commutativity degree8
Well-posedness and stability for fuzzy fractional differential equations7
A revisit to tail risk measures in the presence of bivariate regularly varying tailed insurance and financial risks7
A coupled fractional conformable Langevin differential system and inclusion on the circular graph7
Dynamic analysis and optimal control of a novel fractional-order 2I2SR rumor spreading model6
Soliton stability and topological invariants in a generalized nonlinear Klein–Gordon equation: Existence, dynamics, and conservation laws6
Cattaneo–Christov heat flux impacts on MHD radiative natural convection of Al2O3-Cu-H2O hybrid nanofluid in wavy porous containers using LTNE6
Superlinear damped vibration problems on time scales with nonlocal boundary conditions6
Unique positive solutions for boundary value problem of p-Laplacian fractional differential equation with a sign-changed nonlinearity6
Optimal control results for impulsive fractional delay integrodifferential equations of order 1 < r < 2 via sectorial operator5
Stability analysis of leptospirosis compartmental model with impact of contaminated environment5
Solvability of a system of integral equations in two variables in the weighted Sobolev space $W^{1,1}_\omega(a,b)$ using a generalized measure of noncompactness5
Existence of positive solutions for tempered fractional differential equations with p-Laplacian operator5
Controllability and Ulam–Hyers stability analysis of conformable fractional differential systems with time delays and impulsive effects5
Existence of a solution for a nonlinear integral equation by nonlinear contractions involving simulation function in partially ordered metric space5
Dynamics analysis of an HIV infection model with latent reservoir, delayed CTL immune response and immune impairment5
The iterative properties of solutions for a singular k-Hessian system5
Synchronization of quaternion-valued BAM neural networks with time-varying delays5
Convergence results based on graph-Reich contraction in fuzzy metric spaces with application5
On k-fuzzy metric spaces with applications5
Codimension-two bifurcation analysis of a discrete predator–prey system with fear effect and Allee effect5
Controllability of multi-agent systems with input and communication delays5
Global dissipativity and quasi-Mittag-Leffler synchronization of fractional-order complex-valued neural networks with time delays and discontinuous activations5
M-matrices and one-dimensional discrete Sturm–Liouville problems with nonlocal boundary conditions5
An analytical study of the time-fractional extended shallow-water wave equation in (3 + 1)-dimension with two different derivatives and their comparison5
Controllability and Ulam–Hyers stability analysis of conformable fractional differential systems with time delays and impulsive effects5
MHD flow of non-Newtonian ferro nanofluid between two vertical porous walls with Cattaneo–Christov heat flux, entropy generation, and time-dependent pressure gradient4
Bifurcation analysis and optimal control of a network-based SIR model with the impact of medical resources4
Spatiotemporal dynamics in a toxin-producing predator–prey model with threshold harvesting4
Existence of nontrivial solutions for a class of 2n-order ODE4
Construction of the beta distributions using the random permutation divisors4
Quantization-based event-triggered control for synchronization of 2-D discrete-time switched master-slave systems in Roesser model4
Generalized solutions for singular double-phase elliptic equations under mixed boundary conditions4
Prescribed-time practical scaled consensus of multiagent systems via time-based generator approach4
Distributed optimization for multi-agent systems with communication delays and external disturbances under a directed network4
Null controllability of Chafee–Infante equation under discrete-time point measurements4
Dynamical investigation of the nonlinear Schrödinger equation with second-order spatiotemporal involvement of the time-conformable operator4
Fixed point results for single and multivalued three-points contractions4
Finite-time and fixed-time sliding mode control for second-order nonlinear multiagent systems with external disturbances4
Monotone iterative sequences for positive solutions of a p-Laplacian Hadamard fractional boundary value problem on an unbounded domain3
Fixed points of generalized cyclic contractions without continuity and application to fractal generation3
Prešić-type fixed point results via Q-distance on quasimetric space and application to (p, q)-difference equations3
Dynamics in diffusive Leslie–Gower prey–predator model with weak diffusion3
Finite-time lag projective synchronization of delayed fractional-order quaternion-valued neural networks with parameter uncertainties3
Practical fixed-time stabilization for discrete-time impulsive switched port-controlled Hamiltonian systems3
Bifurcation in a Leslie–Gower system with fear in predators and strong Allee effect in prey3
An advanced visualization of self-organizing maps by determining data clusters3
Analyzing crop production: Unraveling the impact of pests and pesticides through a fractional model3
Existence and stability results for triple systems of fractional Sturm–Liouville–Langevin equations with cyclic boundary conditions3
Fractional uncertain differential equations with general memory effects: Existences and alpha-path solutions3
Multiple lump solutions and their interactions for an integrable nonlinear dispersionless PDE in vector fields3
Logarithm of multivector in real 3D Clifford algebras3
The stability of a stochastic discrete SIVS epidemic model with general nonlinear incidence3
Weak Wardowski contractive multivalued mappings and solvability of generalized phi-Caputo fractional snap boundary inclusions3
Global dynamics and optimal control of a nonlinear fractional-order cholera model3
A new dynamic model for simultaneous saccharification and fermentation process of rice wine3
Optimal control for a two-sidedly degenerate aggregation equation3
A simulation function approach for optimization by approximate solutions with an application to fractional differential equation2
Phase portraits on the unit sphere of the stretch-twist-fold flow2
Optimal control analysis of a malaria transmission model with applications to Democratic Republic of Congo2
Trajectory controllability of semilinear dynamic systems on time scales2
Periodic orbits for an autonomous version of the Duffing–Holmes oscillator2
Exponential synchronization of quaternion-valued switching neural networks with mixed delays2
Effect of gravity on the pattern formation in aqueous suspensions of luminous Escherichia coli2
Fixed point theorems of new generalized C-conditions for ( psi; gamma)-mappings in modular metric spaces and its applications2
Razumikhin and Krasovskii stability of impulsive stochastic delay systems via uniformly stable function method2
Suzuki-type fuzzy contractive inequalities in 1-Z-complete fuzzy metric-like spaces with an application2
Comparative approaches to solving the (2 + 1)-dimensional generalized coupled nonlinear Schrödinger equations with four-wave mixing2
Performance of the supervised generative classifiers of spatio-temporal areal data using various spatial autocorrelation indexes2
Absolute exponential stability of switching time-delay Lurie systems with the application to switching Hopfield neural networks2
Controllability of nonlinear higher-order fractional damped stochastic systems involving multiple delays2
Delay-induced nutrient recycling in plankton system: Application to Sundarban mangrove wetland2
Existence, uniqueness and averaging principle for fractional Dirichlet boundary value problems driven by Rosenblatt process and Lévy jumps2
An open-source parallel algorithm of Bayesian-based global search with Hooke–Jeeves local refinement for multi-objective optimization problems2
Exponential and logarithm of multivector in low-dimensional (n = p + q < 3) Clifford algebras2
Boundary value problems for third-order differential equations involving singular Phi-Laplacian operators2
A discontinuous nonlinear singular elliptic problem with the fractional rho-Laplacian2
The finite-time ruin probabilities of a dependent bidimensional risk model with subexponential claims and Brownian perturbations2
A hybrid fixed point theorem for product of two operators in a lattice-ordered Banach algebra with applications to quadratic integral equations2
Stabilization of chaotic quaternion-valued neutral-type neural networks via sampled-data control with two-sided looped functional approach2
Positive solutions for Hadamard-type fractional differential equations with nonlocal conditions on an infinite interval2
Global attractive set of neural networks with neutral item2
Prescribed-time leader-following scaled consensus for nonlinear multiagent systems2
Optimal control of an infected prey–predator model with fear effect2
Modeling the impact of detritus-based irrigation on agricultural crop production2
On a sublinear nonlocal fractional problem2
On the unique weak solvability of second-order unconditionally stable difference scheme for the system of sine-Gordon equations2
Mitigating atmospheric carbon dioxide through deployment of renewable energy: A mathematical model2
Analysis and exact solutions for reaction–diffusion predator–prey system with prey-taxis by phi6 method1
Adaptive synchronization of quaternion-valued inertial neural networks with uncertain parameters and a flexible time delay1
Modeling and analysis of SIR epidemic dynamics in immunization and cross-infection environments: Insights from a stochastic model1
Bifurcation analysis of a Leslie–Gower predator–prey system with fear effect and constant-type harvesting1
Existence of solutions to a nonlinear fractional diffusion equation with exponential growth1
Reckoning applications of Z-iteration: Data dependence and solution to a delay Caputo fractional differential equation1
An analysis of approximate controllability for Hilfer fractional delay differential equations of Sobolev type without uniqueness1
Finite-time reliable nonfragile control for fractionalorder nonlinear systems with asymmetrical saturation and structured uncertainties1
Large deviations for stochastic predator–prey model with Lévy noise1
Fundamental contractions in suprametric spaces1
Generalizations of Darbo’s fixed point-theorem and its application to the solvability of a nonlinear fractional differential equation1
Analyzing crop production: Unraveling the impact of pests and pesticides through a fractional model1
Ruin probability for renewal risk models with neutral net profit condition1
Existence of a positive solution with concave and convex components for a system of boundary value problems1
Spatiotemporal dynamics of a diffusive nutrient-phytoplankton model with delayed nutrient recycling1
Abstract random differential equations with state-dependent delay using measures of noncompactness1
Pulsating flow and heat transfer of power-law fluid in a circular pipe1
Containing an epidemic in the case of running out of treatment: A switched system approach1
Infinitely many sign-changing solutions for an elliptic equation involving double critical Hardy–Sobolev–Maz’ya terms1
Fractional elliptic obstacle systems with multivalued terms and nonlocal operators1
Solvability for a Hadamard-type fractional integral boundary value problem1
On the non-closure under convolution for strong subexponential distributions1
Dynamics analysis of a nonlinear controlled predator–prey model with complex Poincaré map1
Existence of solutions for a fractional Riemann–Stieltjes integral boundary value problem1
A study of nonlinear fractional-order biochemical reaction model and numerical simulations1
A new conversation on the existence of Hilfer fractional stochastic Volterra–Fredholm integro-differential inclusions via almost sectorial operators1
Estimations for the convex modular of the aliasing error of nonlinear sampling Kantorovich operators1
Controllability of stochastic impulsive integro-differential systems involving nonlocal conditions and conformable derivatives1
Discrete fractional calculus with exponential memory: Propositions, numerical schemes and asymptotic stability1
Existence of sunny nonexpansive retractions and approximation of fixed points of a representation of nonexpansive mappings1
Existence and approximate controllability results for time-fractional stochastic Navier–Stokes equations1
Event-triggered leader-following formation control of general linear multi-agent systems with distributed infinite input time delays1
Fixed point theory in RWC–Banach algebras1
Results on integral inequalities for a generalized fractional integral operator unifying two existing fractional integral operators1
Singular p-biharmonic problem with the Hardy potential1
Existence and stability analysis of solutions for a new kind of boundary value problems of nonlinear fractional differential equations1
Properties of Shannon and Rényi entropies of the Poisson distribution as the functions of intensity parameter1
On a (k;chi)-Hilfer fractional system with coupled nonlocal boundary conditions including various fractional derivatives and Riemann–Stieltjes integrals1
Fractional SDEs with stochastic forcing: Existence, uniqueness, and approximation1
Entropy generation for MHD pulsating stratified liquid flow between two permeable beds1
Fractal perspective on dynamics of dark matter and dark energy interactions1
Notes on the losses compensation of a three-phase power system with DC offset based on geometric algebras1
Heat transfer effects on the oscillatory MHD flow in a porous channel with two immiscible fluids1
On stability in the maximum norm of difference scheme for nonlinear parabolic equation with nonlocal condition1
Bounded solutions and Hyers–Ulam stability of quasilinear dynamic equations on time scales1
A novel fractional operator-based model for Parkinson’s disease: Analyzing abnormal beta-oscillation and the influence of synaptic parameters1
Global dynamics and optimal control of a nonlinear fractional-order cholera model1
Arnold tongues of divergence in the Caputo fractional standard map of nilpotent matrices1
A class of nonlinear double-phase Dirichlet fractional differential equations1
Efficient computation of blood velocity in the left atrial appendage: A practical perspective1
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