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	30
Modeling the effects of insecticides and external efforts on crop production	26
New results of global Mittag-Leffler synchronization on Caputo fuzzy delayed inertial neural networks	21
Hidden maximal monotonicity in evolutionary variational-hemivariational inequalities	20
Synchronization of reaction–diffusion Hopfield neural networks with s-delays through sliding mode control	18
Convective transport of pulsatile multilayer hybrid nanofluid flow in a composite porous channel	16
Existence of multiple positive solutions for a class of infinite-point singular p-Laplacian fractional differential equation with singular source terms	11
Finite-time ruin probability of a perturbed risk model with dependent main and delayed claims	11
How to empower Grünwald–Letnikov fractional difference equations with available initial condition?	10
Event-triggered dynamic output quantized control for 2-D switched systems	10
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
The uniqueness and iterative properties of solutions for a general Hadamard-type singular fractional turbulent flow model	9
A note on product-convolution for generalized subexponential distributions	9
A coupled fractional conformable Langevin differential system and inclusion on the circular graph	9
Well-posedness and stability for fuzzy fractional differential equations	9
Superlinear damped vibration problems on time scales with nonlocal boundary conditions	8
Unique positive solutions for boundary value problem of p-Laplacian fractional differential equation with a sign-changed nonlinearity	8
Optimal control results for impulsive fractional delay integrodifferential equations of order 1 < r < 2 via sectorial operator	8
On the boundary value problems of piecewise differential equations with left-right fractional derivatives and delay	8
Cattaneo–Christov heat flux impacts on MHD radiative natural convection of Al2O3-Cu-H2O hybrid nanofluid in wavy porous containers using LTNE	8
Soliton stability and topological invariants in a generalized nonlinear Klein–Gordon equation: Existence, dynamics, and conservation laws	7
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	7
Dynamic analysis and optimal control of a novel fractional-order 2I2SR rumor spreading model	7

Dynamics analysis of an HIV infection model with latent reservoir, delayed CTL immune response and immune impairment	6
Dufour and Soret effects on pulsatile hydromagnetic flow of Casson fluid in a vertical non-Darcian porous space	6
Global dissipativity and quasi-Mittag-Leffler synchronization of fractional-order complex-valued neural networks with time delays and discontinuous activations	6
Pulsating hydromagnetic flow of Au-blood micropolar nanofluid in a channel with Ohmic heating, thermal radiation and heat source/sink	6
M-matrices and one-dimensional discrete Sturm–Liouville problems with nonlocal boundary conditions	6
Controllability of multi-agent systems with input and communication delays	6
Codimension-two bifurcation analysis of a discrete predator–prey system with fear effect and Allee effect	5
On k-fuzzy metric spaces with applications	5
The iterative properties of solutions for a singular k-Hessian system	5
Convergence results based on graph-Reich contraction in fuzzy metric spaces with application	5
Iterative learning control for impulsive multi-agent systems with varying trial lengths	5
Rothe–Legendre pseudospectral method for a semilinear pseudoparabolic equation with nonclassical boundary condition	5
Exponentials of general multivector in 3D Clifford algebras	4
Finite-time and fixed-time sliding mode control for second-order nonlinear multiagent systems with external disturbances	4
Spatiotemporal dynamics in a toxin-producing predator–prey model with threshold harvesting	4
Construction of the beta distributions using the random permutation divisors	4
Existence of a solution for a nonlinear integral equation by nonlinear contractions involving simulation function in partially ordered metric space	4
Relative controllability of multiagent systems with pairwise different delays in states	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
Fixed point results for single and multivalued three-points contractions	4
Prescribed-time practical scaled consensus of multiagent systems via time-based generator approach	4
Bifurcation analysis and optimal control of a network-based SIR model with the impact of medical resources	4
Dynamic analysis of a fractional-order SIRS model with time delay	4
Distributed optimization for multi-agent systems with communication delays and external disturbances under a directed network	4
Bifurcation in a Leslie–Gower system with fear in predators and strong Allee effect in prey	3
Generalized solutions for singular double-phase elliptic equations under mixed boundary conditions	3
Some critical remarks on “Some new fixed point results in rectangular metric spaces with an application to fractional-order functional differential equations”	3
Prešić-type fixed point results via Q-distance on quasimetric space and application to (p, q)-difference equations	3
Weak Wardowski contractive multivalued mappings and solvability of generalized phi-Caputo fractional snap boundary inclusions	3
Analyzing crop production: Unraveling the impact of pests and pesticides through a fractional model	3
Logarithm of multivector in real 3D Clifford algebras	3
The stability of a stochastic discrete SIVS epidemic model with general nonlinear incidence	3
Dynamics in diffusive Leslie–Gower prey–predator model with weak diffusion	3
Finite-time lag projective synchronization of delayed fractional-order quaternion-valued neural networks with parameter uncertainties	3
Global dynamics and optimal control of a nonlinear fractional-order cholera model	3
Fixed points of generalized cyclic contractions without continuity and application to fractal generation	3
Finite-time stabilization of discontinuous fuzzy inertial Cohen–Grossberg neural networks with mixed time-varying delays	3
New discussion concerning to optimal control for semilinear population dynamics system in Hilbert spaces	3
Fractional uncertain differential equations with general memory effects: Existences and alpha-path solutions	3
Modeling the recent outbreak of COVID-19 in India and its control strategies	3
Practical fixed-time stabilization for discrete-time impulsive switched port-controlled Hamiltonian systems	3
Fixed point theorems of new generalized C-conditions for ( psi; gamma)-mappings in modular metric spaces and its applications	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
Periodic orbits for an autonomous version of the Duffing–Holmes oscillator	2
Exponential and logarithm of multivector in low-dimensional (n = p + q < 3) Clifford algebras	2
Optimal control of an infected prey–predator model with fear effect	2
A discontinuous nonlinear singular elliptic problem with the fractional rho-Laplacian	2
Razumikhin and Krasovskii stability of impulsive stochastic delay systems via uniformly stable function method	2
Existence of sunny nonexpansive retractions and approximation of fixed points of a representation of nonexpansive mappings	2
Absolute exponential stability of switching time-delay Lurie systems with the application to switching Hopfield neural networks	2

A simulation function approach for optimization by approximate solutions with an application to fractional differential equation	2
A hybrid fixed point theorem for product of two operators in a lattice-ordered Banach algebra with applications to quadratic integral equations	2
Optimal control analysis of a malaria transmission model with applications to Democratic Republic of Congo	2
Effects of Joule heating, thermal radiation on MHD pulsating flow of a couple stress hybrid nanofluid in a permeable channel	2
Delay-induced nutrient recycling in plankton system: Application to Sundarban mangrove wetland	2
Relative controllability of impulsive multi-delay differential systems	2
Optimal harvesting in a unidirectional consumer–resource mutualisms system with size structure in the consumer	2
On the unique weak solvability of second-order unconditionally stable difference scheme for the system of sine-Gordon equations	2
Global attractive set of neural networks with neutral item	2
On a sublinear nonlocal fractional problem	2
Multiple lump solutions and their interactions for an integrable nonlinear dispersionless PDE in vector fields	2
Controllability of stochastic impulsive integro-differential systems involving nonlocal conditions and conformable derivatives	2
Global dynamics and optimal control of a nonlinear fractional-order cholera model	2
Suzuki-type fuzzy contractive inequalities in 1-Z-complete fuzzy metric-like spaces with an application	2
Performance of the supervised generative classifiers of spatio-temporal areal data using various spatial autocorrelation indexes	2
Stabilization of chaotic quaternion-valued neutral-type neural networks via sampled-data control with two-sided looped functional approach	2
On the new Hyers–Ulam–Rassias stability of the generalized cubic set-valued mapping in the incomplete normed spaces	2
Steady state non-Newtonian flow with strain rate dependent viscosity in domains with cylindrical outlets to infinity	2
Finite-time stabilization for fractional-order inertial neural networks with time varying delays	2
A mathematical view towards improving undergraduate student performance and mitigating dropout risks	2
Controllability of nonlinear higher-order fractional damped stochastic systems involving multiple delays	2
Practical stability for fractional impulsive control systems with noninstantaneous impulses on networks	2
Phase portraits on the unit sphere of the stretch-twist-fold flow	2
Optimal control for a two-sidedly degenerate aggregation equation	2
Existence of a positive solution with concave and convex components for a system of boundary value problems	2
Comparative approaches to solving the (2 + 1)-dimensional generalized coupled nonlinear Schrödinger equations with four-wave mixing	2
A new conversation on the existence of Hilfer fractional stochastic Volterra–Fredholm integro-differential inclusions via almost sectorial operators	2
Mitigating atmospheric carbon dioxide through deployment of renewable energy: A mathematical model	2
Positive solutions for Hadamard-type fractional differential equations with nonlocal conditions on an infinite interval	2
Effect of gravity on the pattern formation in aqueous suspensions of luminous Escherichia coli	2
The finite-time ruin probabilities of a dependent bidimensional risk model with subexponential claims and Brownian perturbations	2
Bifurcation analysis of a Leslie–Gower predator–prey system with fear effect and constant-type harvesting	1
Notes on the losses compensation of a three-phase power system with DC offset based on geometric algebras	1
Results on integral inequalities for a generalized fractional integral operator unifying two existing fractional integral operators	1
Asymptotic analysis of Sturm–Liouville problem with nonlocal integral-type boundary condition	1
Pulsating flow and heat transfer of power-law fluid in a circular pipe	1
On the non-closure under convolution for strong subexponential distributions	1
Dynamics analysis of a nonlinear controlled predator–prey model with complex Poincaré map	1
Event-triggered leader-following formation control of general linear multi-agent systems with distributed infinite input time delays	1
Fixed point theory in RWC–Banach algebras	1
Transmission dynamic and backward bifurcation of Middle Eastern respiratory syndrome coronavirus	1
Modeling and analysis of SIR epidemic dynamics in immunization and cross-infection environments: Insights from a stochastic model	1
Solvability for a Hadamard-type fractional integral boundary value problem	1
Fractional elliptic obstacle systems with multivalued terms and nonlocal operators	1
Existence of solutions to a nonlinear fractional diffusion equation with exponential growth	1
Infinitely many sign-changing solutions for an elliptic equation involving double critical Hardy–Sobolev–Maz’ya terms	1
Reckoning applications of Z-iteration: Data dependence and solution to a delay Caputo fractional differential equation	1
Heat transfer effects on the oscillatory MHD flow in a porous channel with two immiscible fluids	1
Abstract random differential equations with state-dependent delay using measures of noncompactness	1
Lie group analysis and its invariants for the class of multidimensional nonlinear wave equations	1
Analysis and exact solutions for reaction–diffusion predator–prey system with prey-taxis by phi6 method	1
Fractional SDEs with stochastic forcing: Existence, uniqueness, and approximation	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
A study of common fixed points that belong to zeros of a certain given function with applications	1
Asymptotic formulas for the left truncated moments of sums with consistently varying distributed increments	1
Ruin probability for renewal risk models with neutral net profit condition	1
A class of nonlinear double-phase Dirichlet fractional differential equations	1
Time-periodic Poiseuille-type solution with minimally regular flow rate	1
Large deviations for stochastic predator–prey model with Lévy noise	1
Extension of Darbo’s fixed point theorem via shifting distance functions and its application	1
Applications of variational methods to some three-point boundary value problems with instantaneous and noninstantaneous impulses	1
Finite-time reliable nonfragile control for fractionalorder nonlinear systems with asymmetrical saturation and structured uncertainties	1
Spatiotemporal dynamics of a diffusive nutrient-phytoplankton model with delayed nutrient recycling	1
Existence and stability analysis of solutions for a new kind of boundary value problems of nonlinear fractional differential equations	1
Estimations for the convex modular of the aliasing error of nonlinear sampling Kantorovich operators	1
On well-posedness and decay of Active model B	1
A model analysis to measure the adherence of Etanercept and Fezakinumab therapy for the treatment of psoriasis	1
Containing an epidemic in the case of running out of treatment: A switched system approach	1
Properties of Shannon and Rényi entropies of the Poisson distribution as the functions of intensity parameter	1
Mathematical insights into neuroendocrine transdifferentiation of human prostate cancer cells	1
A study of nonlinear fractional-order biochemical reaction model and numerical simulations	1
On a (k;chi)-Hilfer fractional system with coupled nonlocal boundary conditions including various fractional derivatives and Riemann–Stieltjes integrals	1
Synchronization of chaotic delayed systems via intermittent control and its adaptive strategy	1
Singular p-biharmonic problem with the Hardy potential	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
A novel fractional operator-based model for Parkinson’s disease: Analyzing abnormal beta-oscillation and the influence of synaptic parameters	1
Fractal perspective on dynamics of dark matter and dark energy interactions	1
An analysis of approximate controllability for Hilfer fractional delay differential equations of Sobolev type without uniqueness	1

Existence of solutions for a fractional Riemann–Stieltjes integral boundary value problem	1
Bounded solutions and Hyers–Ulam stability of quasilinear dynamic equations on time scales	1