Nonlinear Analysis-Modelling and Control

Article	Citations
Existence and global asymptotic behavior of S-asymptotically periodic solutions for fractional evolution equation with delay	43
On stability and convergence of difference schemes for one class of parabolic equations with nonlocal condition	37
New results of global Mittag-Leffler synchronization on Caputo fuzzy delayed inertial neural networks	26
Hidden maximal monotonicity in evolutionary variational-hemivariational inequalities	23
Synchronization of reaction–diffusion Hopfield neural networks with s-delays through sliding mode control	22
Convective transport of pulsatile multilayer hybrid nanofluid flow in a composite porous channel	20
Modeling the effects of insecticides and external efforts on crop production	20
Event-triggered dynamic output quantized control for 2-D switched systems	17
The uniqueness and iterative properties of solutions for a general Hadamard-type singular fractional turbulent flow model	11
How to empower Grünwald–Letnikov fractional difference equations with available initial condition?	11
Existence of multiple positive solutions for a class of infinite-point singular p-Laplacian fractional differential equation with singular source terms	11
A revisit to tail risk measures in the presence of bivariate regularly varying tailed insurance and financial risks	10
Turing pattern dynamics in a fractional-diffusion oregonator model under PD control	10
Spatiotemporal dynamics of a modified Leslie–Gower predator–prey model: Effects of diffusion and taxis-driven movements on pattern formation	9
A note on product-convolution for generalized subexponential distributions	9
Optimal control results for impulsive fractional delay integrodifferential equations of order 1 < r < 2 via sectorial operator	8
Superlinear damped vibration problems on time scales with nonlocal boundary conditions	8
Well-posedness and stability for fuzzy fractional differential equations	8
A coupled fractional conformable Langevin differential system and inclusion on the circular graph	8
On the boundary value problems of piecewise differential equations with left-right fractional derivatives and delay	8
Dynamic analysis and optimal control of a novel fractional-order 2I2SR rumor spreading model	8
Soliton stability and topological invariants in a generalized nonlinear Klein–Gordon equation: Existence, dynamics, and conservation laws	7
Unique positive solutions for boundary value problem of p-Laplacian fractional differential equation with a sign-changed nonlinearity	7
Cattaneo–Christov heat flux impacts on MHD radiative natural convection of Al2O3-Cu-H2O hybrid nanofluid in wavy porous containers using LTNE	7
M-matrices and one-dimensional discrete Sturm–Liouville problems with nonlocal boundary conditions	6

Dynamics analysis of an HIV infection model with latent reservoir, delayed CTL immune response and immune impairment	6
Controllability of multi-agent systems with input and communication delays	6
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 noncompactness	6
Codimension-two bifurcation analysis of a discrete predator–prey system with fear effect and Allee effect	5
The iterative properties of solutions for a singular k-Hessian system	5
Rothe–Legendre pseudospectral method for a semilinear pseudoparabolic equation with nonclassical boundary condition	5
Stability analysis of leptospirosis compartmental model with impact of contaminated environment	5
Iterative learning control for impulsive multi-agent systems with varying trial lengths	5
Global dissipativity and quasi-Mittag-Leffler synchronization of fractional-order complex-valued neural networks with time delays and discontinuous activations	5
Dufour and Soret effects on pulsatile hydromagnetic flow of Casson fluid in a vertical non-Darcian porous space	5
Pulsating hydromagnetic flow of Au-blood micropolar nanofluid in a channel with Ohmic heating, thermal radiation and heat source/sink	5
Finite-time and fixed-time sliding mode control for second-order nonlinear multiagent systems with external disturbances	4
Construction of the beta distributions using the random permutation divisors	4
Existence of nontrivial solutions for a class of 2n-order ODE	4
Dynamic analysis of a fractional-order SIRS model with time delay	4
Fixed point results for single and multivalued three-points contractions	4
Relative controllability of multiagent systems with pairwise different delays in states	4
On k-fuzzy metric spaces with applications	4
Convergence results based on graph-Reich contraction in fuzzy metric spaces with application	4
Distributed optimization for multi-agent systems with communication delays and external disturbances under a directed network	4
Spatiotemporal dynamics in a toxin-producing predator–prey model with threshold harvesting	4
Bifurcation in a Leslie–Gower system with fear in predators and strong Allee effect in prey	4
Exponentials of general multivector in 3D Clifford algebras	4
Existence of a solution for a nonlinear integral equation by nonlinear contractions involving simulation function in partially ordered metric space	4
Prescribed-time practical scaled consensus of multiagent systems via time-based generator approach	4
MHD flow of non-Newtonian ferro nanofluid between two vertical porous walls with Cattaneo–Christov heat flux, entropy generation, and time-dependent pressure gradient	4
Generalized solutions for singular double-phase elliptic equations under mixed boundary conditions	4
Bifurcation analysis and optimal control of a network-based SIR model with the impact of medical resources	4
Dynamics in diffusive Leslie–Gower prey–predator model with weak diffusion	3
Fractional uncertain differential equations with general memory effects: Existences and alpha-path solutions	3
Practical fixed-time stabilization for discrete-time impulsive switched port-controlled Hamiltonian systems	3
Modeling the recent outbreak of COVID-19 in India and its control strategies	3
New discussion concerning to optimal control for semilinear population dynamics system in Hilbert spaces	3
Multiple lump solutions and their interactions for an integrable nonlinear dispersionless PDE in vector fields	3
Prešić-type fixed point results via Q-distance on quasimetric space and application to (p, q)-difference equations	3
Some critical remarks on “Some new fixed point results in rectangular metric spaces with an application to fractional-order functional differential equations”	3
Logarithm of multivector in real 3D Clifford algebras	3
Weak Wardowski contractive multivalued mappings and solvability of generalized phi-Caputo fractional snap boundary inclusions	3
Finite-time lag projective synchronization of delayed fractional-order quaternion-valued neural networks with parameter uncertainties	3
Optimal control for a two-sidedly degenerate aggregation equation	3
Fixed points of generalized cyclic contractions without continuity and application to fractal generation	3
An advanced visualization of self-organizing maps by determining data clusters	3
The stability of a stochastic discrete SIVS epidemic model with general nonlinear incidence	3
Analyzing crop production: Unraveling the impact of pests and pesticides through a fractional model	3
Global dynamics and optimal control of a nonlinear fractional-order cholera model	3
A new dynamic model for simultaneous saccharification and fermentation process of rice wine	3
Optimal control of an infected prey–predator model with fear effect	3
Relative controllability of impulsive multi-delay differential systems	2
The finite-time ruin probabilities of a dependent bidimensional risk model with subexponential claims and Brownian perturbations	2
Positive solutions for Hadamard-type fractional differential equations with nonlocal conditions on an infinite interval	2

Absolute exponential stability of switching time-delay Lurie systems with the application to switching Hopfield neural networks	2
Finite-time stabilization for fractional-order inertial neural networks with time varying delays	2
Fixed point theorems of new generalized C-conditions for ( psi; gamma)-mappings in modular metric spaces and its applications	2
A hybrid fixed point theorem for product of two operators in a lattice-ordered Banach algebra with applications to quadratic integral equations	2
Periodic orbits for an autonomous version of the Duffing–Holmes oscillator	2
Razumikhin and Krasovskii stability of impulsive stochastic delay systems via uniformly stable function method	2
Optimal control analysis of a malaria transmission model with applications to Democratic Republic of Congo	2
A new conversation on the existence of Hilfer fractional stochastic Volterra–Fredholm integro-differential inclusions via almost sectorial operators	2
Performance of the supervised generative classifiers of spatio-temporal areal data using various spatial autocorrelation indexes	2
Suzuki-type fuzzy contractive inequalities in 1-Z-complete fuzzy metric-like spaces with an application	2
Effects of Joule heating, thermal radiation on MHD pulsating flow of a couple stress hybrid nanofluid in a permeable channel	2
Optimal harvesting in a unidirectional consumer–resource mutualisms system with size structure in the consumer	2
Steady state non-Newtonian flow with strain rate dependent viscosity in domains with cylindrical outlets to infinity	2
Boundary value problems for third-order differential equations involving singular Phi-Laplacian operators	2
On a sublinear nonlocal fractional problem	2
Controllability of nonlinear higher-order fractional damped stochastic systems involving multiple delays	2
On the unique weak solvability of second-order unconditionally stable difference scheme for the system of sine-Gordon equations	2
Exponential and logarithm of multivector in low-dimensional (n = p + q < 3) Clifford algebras	2
A simulation function approach for optimization by approximate solutions with an application to fractional differential equation	2
Comparative approaches to solving the (2 + 1)-dimensional generalized coupled nonlinear Schrödinger equations with four-wave mixing	2
Mitigating atmospheric carbon dioxide through deployment of renewable energy: A mathematical model	2
Phase portraits on the unit sphere of the stretch-twist-fold flow	2
Stabilization of chaotic quaternion-valued neutral-type neural networks via sampled-data control with two-sided looped functional approach	2
Effect of gravity on the pattern formation in aqueous suspensions of luminous Escherichia coli	2
Delay-induced nutrient recycling in plankton system: Application to Sundarban mangrove wetland	2
Existence, uniqueness, Ulam–Hyers–Rassias stability, well-posedness and data dependence property related to a fixed point problem in gamma-complete metric spaces with application to integral equation	2
Global attractive set of neural networks with neutral item	2
Practical stability for fractional impulsive control systems with noninstantaneous impulses on networks	2
A discontinuous nonlinear singular elliptic problem with the fractional rho-Laplacian	2
Existence of solutions for a fractional Riemann–Stieltjes integral boundary value problem	1
Generalizations of Darbo’s fixed point-theorem and its application to the solvability of a nonlinear fractional differential equation	1
Spatiotemporal dynamics of a diffusive nutrient-phytoplankton model with delayed nutrient recycling	1
A novel fractional operator-based model for Parkinson’s disease: Analyzing abnormal beta-oscillation and the influence of synaptic parameters	1
Bounded solutions and Hyers–Ulam stability of quasilinear dynamic equations on time scales	1
Applications of variational methods to some three-point boundary value problems with instantaneous and noninstantaneous impulses	1
Existence and stability analysis of solutions for a new kind of boundary value problems of nonlinear fractional differential equations	1
Transmission dynamic and backward bifurcation of Middle Eastern respiratory syndrome coronavirus	1
Singular anisotropic equations with a sign-changing perturbation	1
Properties of Shannon and Rényi entropies of the Poisson distribution as the functions of intensity parameter	1
On well-posedness and decay of Active model B	1
Bifurcation analysis of a Leslie–Gower predator–prey system with fear effect and constant-type harvesting	1
Analysis and exact solutions for reaction–diffusion predator–prey system with prey-taxis by phi6 method	1
Event-triggered leader-following formation control of general linear multi-agent systems with distributed infinite input time delays	1
On a (k;chi)-Hilfer fractional system with coupled nonlocal boundary conditions including various fractional derivatives and Riemann–Stieltjes integrals	1
Modeling and analysis of SIR epidemic dynamics in immunization and cross-infection environments: Insights from a stochastic model	1
Singular p-biharmonic problem with the Hardy potential	1
Infinitely many sign-changing solutions for an elliptic equation involving double critical Hardy–Sobolev–Maz’ya terms	1
Estimations for the convex modular of the aliasing error of nonlinear sampling Kantorovich operators	1
Reckoning applications of Z-iteration: Data dependence and solution to a delay Caputo fractional differential equation	1
Discrete fractional calculus with exponential memory: Propositions, numerical schemes and asymptotic stability	1
Analyzing crop production: Unraveling the impact of pests and pesticides through a fractional model	1
Existence of solutions to a nonlinear fractional diffusion equation with exponential growth	1
Existence of sunny nonexpansive retractions and approximation of fixed points of a representation of nonexpansive mappings	1
Fractal perspective on dynamics of dark matter and dark energy interactions	1
Fixed point theory in RWC–Banach algebras	1
Synchronization of chaotic delayed systems via intermittent control and its adaptive strategy	1
Lie group analysis and its invariants for the class of multidimensional nonlinear wave equations	1
On the non-closure under convolution for strong subexponential distributions	1
Pulsating flow and heat transfer of power-law fluid in a circular pipe	1
Asymptotic formulas for the left truncated moments of sums with consistently varying distributed increments	1
Heat and mass source effect on MHD double-diffusive mixed convection and entropy generation in a curved enclosure filled with nanofluid	1
On stability in the maximum norm of difference scheme for nonlinear parabolic equation with nonlocal condition	1
An analysis of approximate controllability for Hilfer fractional delay differential equations of Sobolev type without uniqueness	1
Extension of Darbo’s fixed point theorem via shifting distance functions and its application	1
Notes on the losses compensation of a three-phase power system with DC offset based on geometric algebras	1
Finite-time reliable nonfragile control for fractionalorder nonlinear systems with asymmetrical saturation and structured uncertainties	1
Ruin probability for renewal risk models with neutral net profit condition	1
Heat transfer effects on the oscillatory MHD flow in a porous channel with two immiscible fluids	1
Large deviations for stochastic predator–prey model with Lévy noise	1
Controllability of stochastic impulsive integro-differential systems involving nonlocal conditions and conformable derivatives	1
Solvability for a Hadamard-type fractional integral boundary value problem	1
Existence of a positive solution with concave and convex components for a system of boundary value problems	1
A study of nonlinear fractional-order biochemical reaction model and numerical simulations	1
Arnold tongues of divergence in the Caputo fractional standard map of nilpotent matrices	1
Fractional elliptic obstacle systems with multivalued terms and nonlocal operators	1
Efficient computation of blood velocity in the left atrial appendage: A practical perspective	1
Fractional SDEs with stochastic forcing: Existence, uniqueness, and approximation	1
Results on integral inequalities for a generalized fractional integral operator unifying two existing fractional integral operators	1
Abstract random differential equations with state-dependent delay using measures of noncompactness	1
Containing an epidemic in the case of running out of treatment: A switched system approach	1

A model analysis to measure the adherence of Etanercept and Fezakinumab therapy for the treatment of psoriasis	1
Dynamics analysis of a nonlinear controlled predator–prey model with complex Poincaré map	1
Global dynamics and optimal control of a nonlinear fractional-order cholera model	1
A class of nonlinear double-phase Dirichlet fractional differential equations	1