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New results of global Mittag-Leffler synchronization on Caputo fuzzy delayed inertial neural networks Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2023-03-30 Xiangnian Yin, Hongmei Zhang, Hai Zhang, Weiwei Zhang, Jinde Cao
This article is devoted to discussing the problem of global Mittag-Leffler synchronization (GMLS) for the Caputo-type fractional-order fuzzy delayed inertial neural networks (FOFINNs). First of all, both inertial and fuzzy terms are taken into account in the system. For the sake of reducing the influence caused by the inertia term, the order reduction is achieved by the measure of variable substitution
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Heat transfer effects on the oscillatory MHD flow in a porous channel with two immiscible fluids Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2023-02-22 Medisetty Padma Devi, Suripeddi Srinivas
The MHD oscillatory flow of two immiscible, viscous liquids in a porous channel with heat transfer is the subject of this investigation. The two liquid layers with different viscosities flow in both regions. The analytical expressions for velocity and temperature distribution have been derived by solving the governing flow equations using the regular perturbation method. The effects of various parameters
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Global attractive set of neural networks with neutral item Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2023-01-02 Xili Wu, Liangwei Wang, Zhengwen Tu, Yuming Feng
This paper investigates the global attractive set of neural networks with neutral item. To better deal with the neutral terms, different types of activation functions are considered. Based on matrix measures, inequality techniques, and Lyapunov theory, three new types of Lyapunov functions are designed to find the global attractive set of the system. We give out a simulation example to verify the validity
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Superlinear damped vibration problems on time scales with nonlocal boundary conditions Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2022-07-19 Yongfang Wei, Zhanbing Bai
This paper studies a class of superlinear damped vibration equations with nonlocal boundary conditions on time scales by using the calculus of variations. We consider the Cerami condition, while the nonlinear term does not satisfy Ambrosetti–Rabinowitz condition such that the critical point theory could be applied. Then we establish the variational structure in an appropriate Sobolev’s space, obtain
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Turing instability and pattern formation of a fractional Hopfield reaction–diffusion neural network with transmission delay Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2022-05-05 Jiazhe Lin, Jiapeng Li, Rui Xu
It is well known that integer-order neural networks with diffusion have rich spatial and temporal dynamical behaviors, including Turing pattern and Hopf bifurcation. Recently, some studies indicate that fractional calculus can depict the memory and hereditary attributes of neural networks more accurately. In this paper, we mainly investigate the Turing pattern in a delayed reaction–diffusion neural
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Positive almost periodicity on SICNNs incorporating mixed delays and D operator Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2022-04-27 Chuangxia Huang,Bingwen Liu,Hedi Yang,Jinde Cao
This article involves a kind of shunting inhibitory cellular neural networks incorporating D operator and mixed delays. First of all, we demonstrate that, under appropriate external input conditions, some positive solutions of the addressed system exist globally. Secondly, with the help of the differential inequality techniques and exploiting Lyapunov functional approach, some criteria are established
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Exponential synchronization for second-order switched quaternion-valued neural networks with neutral-type and mixed time-varying delays Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2022-04-20 Tingting Zhang,Jigui Jian
This article focuses on the global exponential synchronization (GES) for second-order state-dependent switched quaternion-valued neural networks (SOSDSQVNNs) with neutral-type and mixed delays. By proposing some new Lyapunov–Krasovskii functionals (LKFs) and adopting some inequalities, several new criteria in the shape of algebraic inequalities are proposed to ensure the GES for the concerned system
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Effects of Joule heating, thermal radiation on MHD pulsating flow of a couple stress hybrid nanofluid in a permeable channel Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2022-04-13 Somasundaram Rajamani,Anala Subramanyam Reddy
The current work deals with the pulsatile hydromagnetic flow of blood-based couple stress hybrid nanofluid in a porous channel. For hybrid nanofluid, the fusion of gold (Au) and copper oxide (CuO) nanoparticles are suspended to the blood (base fluid). In this model, the employment of viscous dissipation, radiative heat, and Ohmic heating is incorporated. The governing flow equations (set of partial
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Predefined-time synchronization of 5D Hindmarsh–Rose neuron networks via backstepping design and application in secure communication Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2022-04-13 Lixiong Lin
In this paper, the fast synchronization problem of 5D Hindmarsh–Rose neuron networks is studied. Firstly, the global predefined-time stability of a class of nonlinear dynamical systems is investigated under the complete beta function. Then an active controller via backstepping design is proposed to achieve predefined-time synchronization of two 5D Hindmarsh–Rose neuron networks in which the synchronization
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Dufour and Soret effects on pulsatile hydromagnetic flow of Casson fluid in a vertical non-Darcian porous space Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2022-04-11 Suripeddi Srinivas,Challa Kalyan Kumar,Anala Subramanyam Reddy
This article aims to inspect the pulsating hydromagnetic slip flow of Casson fluid in a vertical porous channel with heat and mass transfer. The fluid is injected into the channel from the left wall and removed at the opposite wall with the same velocity. The impact of non-Darcy, Soret, and Dufour effects are taken under consideration. The governing partial differential equations (PDEs) are converted
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Exponential stabilization of fractional-order continuous-time dynamic systems via event-triggered impulsive control Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2022-04-07 Nanxiang Yu,Wei Zhu
Exponential stabilization of fractional-order continuous-time dynamic systems via eventtriggered impulsive control (EIC) approach is investigated in this paper. Nonlinear and linear fractional-order continuous-time dynamic systems are studied, respectively. The impulsive instants are determined by some given event-triggering function and event-triggering condition, which are dependent on the state
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How to empower Grünwald–Letnikov fractional difference equations with available initial condition? Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2022-04-05 Yiheng Wei,Jinde Cao,Chuang Li,Yangquan Chen
In this paper, the initial condition independence property of Grünwald–Letnikov fractional difference is revealed for the first time. For example, the solution x(k) of equation aG∇kαx(k) = f(x(k)), k > a + 1, cannot be calculated with initial condition x(a). First, the initial condition independence property is carefully investigated in both time domain and frequency domain. Afterwards, some possible
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Pulsating hydromagnetic flow of Au-blood micropolar nanofluid in a channel with Ohmic heating, thermal radiation and heat source/sink Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2022-03-31 Devendiran Rajkumar,Anala Subramanyam Reddy
The current work deals with the pulsating flow of Au-blood micropolar nanofluid with the existence of thermal radiation and Joule heating. Micropolar fluid is addressed as blood (base fluid) and Au (gold) as a nanoparticle. The flow has been mathematically modeled, resulting in a delicate system of partial differential equations (PDEs). A perturbation technique is used to convert the PDE system into
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A hybrid of Bayesian-based global search with Hooke–Jeeves local refinement for multi-objective optimization problems Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2022-03-28 Linas Litvinas
The proposed multi-objective optimization algorithm hybridizes random global search with a local refinement algorithm. The global search algorithm mimics the Bayesian multi-objective optimization algorithm. The site of current computation of the objective functions by the proposed algorithm is selected by randomized simulation of the bi-objective selection by the Bayesian-based algorithm. The advantage
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Sign-changing solutions for Kirchhoff-type problems involving variable-order fractional Laplacian and critical exponents Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2022-03-28 Sihua Liang,Giovanni Molica Bisci,Binlin Zhang
In this paper, we are concerned with the Kirchhoff-type variable-order fractional Laplacian problem with critical variable exponent. By using constraint variational method and quantitative deformation lemma we show the existence of one least energy solution, which is strictly larger than twice of that of any ground state solution.
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A model analysis to measure the adherence of Etanercept and Fezakinumab therapy for the treatment of psoriasis Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2022-03-16 Amit Kumar Roy,Fahad Al Basir,Priti Kumar Roy,Amar Nath Chatterjee
This article deals with a immunological model, which includes multiple classes of T cells, namely, the naive T cell, type I, type II and type 17 T helper cells (Th1, Th2, Th17), regulatory T cell (Treg) along with the activated natural killer cells (NK cells) and epidermal keratinocytes. In order to describe the etiology of psoriasis development, we have studied the basic mathematical properties of
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New discussion concerning to optimal control for semilinear population dynamics system in Hilbert spaces Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2022-02-25 Rohit Patel,Anurag Shukla,Juan J. Nieto,Velusamy Vijayakumar,Shimpi Singh Jadon
The objective of our paper is to investigate the optimal control of semilinear population dynamics system with diffusion using semigroup theory. The semilinear population dynamical model with the nonlocal birth process is transformed into a standard abstract semilinear control system by identifying the state, control, and the corresponding function spaces. The state and control spaces are assumed to
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Solitons and other solutions of perturbed nonlinear Biswas–Milovic equation with Kudryashov’s law of refractive index Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2022-02-23 Lanre Akinyemi,Mohammad Mirzazadeh,Kamyar Hosseini
We analytically study the exact solitary wave solutions of the perturbed nonlinear Biswas–Milovic equation with Kudryashov’s law of refractive index, which describes the propagation of pulses of various types in optical fiber. We apply three efficient and reliable schemes, specifically, the simple equation method, the (G'/G)-expansion method, and the new Kudryashov method. These approaches lead to
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Existence of multiple positive solutions for a class of infinite-point singular p-Laplacian fractional differential equation with singular source terms Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2022-02-22 Limin Guo, Jingbo Zhao, Lianying Liao, Lishan Liu
Based on properties of Green’s function and by Avery–Peterson fixed point theorem, the existence of multiple positive solutions are obtained for singular p-Laplacian fractional differential equation with infinite-point boundary conditions, and an example is given to demonstrate the validity of our main results.
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Parameter estimation of fractional uncertain differential equations via Adams method Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2022-02-17 Guo-Cheng Wu, Jia-Li Wei, Cheng Luo, Lan-Lan Huang
Parameter estimation of uncertain differential equations becomes popular very recently. This paper suggests a new method based on fractional uncertain differential equations for the first time, which hold more parameter freedom degrees. The Adams numerical method and Adam algorithm are adopted for the optimization problems. The estimation results are compared to show a better forecast. Finally, the
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Optimal harvesting in a unidirectional consumer–resource mutualisms system with size structure in the consumer Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2022-02-15 Rong Liu,Guirong Liu
This paper considers the optimal harvesting problem for a size-structured model of unidirectional consumer–resource mutualisms in which the consumer species has both positive and negative effects on the resource species, while the resource has only a positive effect on the consumer. First, we show the existence of a unique nonnegative solution of the system and give the continuous dependence of solutions
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Dynamic analysis of a fractional-order SIRS model with time delay Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2022-02-12 Xueyong Zhou,Mengya Wang
Mathematical modeling plays a vital role in the epidemiology of infectious diseases. Policy makers can provide the effective interventions by the relevant results of the epidemic models. In this paper, we build a fractional-order SIRS epidemic model with time delay and logistic growth, and we discuss the dynamical behavior of the model, such as the local stability of the equilibria and the existence
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Applications of variational methods to some three-point boundary value problems with instantaneous and noninstantaneous impulses Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2022-02-04 Yongfang Wei,Suiming Shang,Zhanbing Bai
In this paper, we study the multiple solutions for some second-order p-Laplace differential equations with three-point boundary conditions and instantaneous and noninstantaneous impulses. By applying the variational method and critical point theory the multiple solutions are obtained in a Sobolev space. Compared with other local boundary value problems, the three-point boundary value problem is less
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Modelling and parameter identification for a two-stage fractional dynamical system in microbial batch process Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2022-02-02 Chongyang Liu,Xiaopeng Yi,Yanli Feng
In this paper, we consider mathematical modelling and parameter identification problem in bioconversion of glycerol to 1,3-propanediol by Klebsiella pneumoniae. In view of the dynamic behavior with memory and heredity and experimental results in batch culture, a two-stage fractional dynamical system with unknown fractional orders and unknown kinetic parameters is proposed to describe the fermentation
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Iterative learning control for impulsive multi-agent systems with varying trial lengths Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2022-01-26 Xiaokai Cao,Michal Fečkan,Dong Shen,JinRong Wang
In this paper, we introduce iterative learning control (ILC) schemes with varying trial lengths (VTL) to control impulsive multi-agent systems (I-MAS). We use domain alignment operator to characterize each tracking error to ensure that the error can completely update the control function during each iteration. Then we analyze the system’s uniform convergence to the target leader. Further, we use two
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The uniqueness and iterative properties of solutions for a general Hadamard-type singular fractional turbulent flow model Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2022-01-25 Xinguang Zhang,Pengtao Xu,Yonghong Wu,Benchawan Wiwatanapataphee
In this paper, we consider the iterative properties of positive solutions for a general Hadamard-type singular fractional turbulent flow model involving a nonlinear operator. By developing a double monotone iterative technique we firstly establish the uniqueness of positive solutions for the corresponding model. Then we carry out the iterative analysis for the unique solution including the iterative
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Synchronization of reaction–diffusion Hopfield neural networks with s-delays through sliding mode control Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2022-01-17 Xiao Liang,Shuo Wang,Ruili Wang,Xingzhi Hu,Zhen Wang
Synchronization of reaction–diffusion Hopfield neural networks with s-delays via sliding mode control (SMC) is investigated in this paper. To begin with, the system is studied in an abstract Hilbert space C([–r; 0];U) rather than usual Euclid space Rn. Then we prove that the state vector of the drive system synchronizes to that of the response system on the switching surface, which relies on equivalent
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Robust piecewise adaptive control for an uncertain semilinear parabolic distributed parameter systems Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2022-01-06 Yanfang Lei,Junmin Li,Ailiang Zhao
In this study, we focus on designing a robust piecewise adaptive controller to globally asymptotically stabilize a semilinear parabolic distributed parameter systems (DPSs) with external disturbance, whose nonlinearities are bounded by unknown functions. Firstly, a robust piecewise adaptive control is designed against the unknown nonlinearity and the external disturbance. Then, by constructing an appropriate
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Finite-time stability results for fractional damped dynamical systems with time delays Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2022-01-06 Ganesan Arthi,Nallasamy Brindha,Dumitru Baleanu
This paper is explored with the stability procedure for linear nonautonomous multiterm fractional damped systems involving time delay. Finite-time stability (FTS) criteria have been developed based on the extended form of Gronwall inequality. Also, the result is deduced to a linear autonomous case. Two examples of applications of stability analysis in numerical formulation are described showing the
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Extension of Darbo’s fixed point theorem via shifting distance functions and its application Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2022-01-06 Hemant Kumar Nashine,Anupam Das
In this paper, we discuss solvability of infinite system of fractional integral equations (FIE) of mixed type. To achieve this goal, we first use shifting distance function to establish a new generalization of Darbo’s fixed point theorem, and then apply it to the FIEs to establish the existence of solution on tempered sequence space. Finally, we verify our results by considering a suitable example
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Heat and mass source effect on MHD double-diffusive mixed convection and entropy generation in a curved enclosure filled with nanofluid Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2022-01-06 Rujda Parveen,Tapas Ray Mahapatra
This paper examines the two-dimensional laminar steady magnetohydrodynamic doublediffusive mixed convection in a curved enclosure filled with different types of nanofluids. The enclosure is differentially heated and concentrated, and the heat and mass source are embedded in a part of the left wall having temperature Th (>Tc) and concentration ch (>cc). The right vertical wall is allowed to move with
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Modeling the recent outbreak of COVID-19 in India and its control strategies Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2022-01-06 Ranjit Kumar Upadhyay,Sattwika Acharya
The recent emergence of COVID-19 has drawn attention to the various methods of disease control. Since no proper treatment is available till date and the vaccination is restricted to certain age groups, also vaccine efficacy is still under progress, the emphasis has been given to the method of isolation and quarantine. This control is induced by tracing the contacts of the infectious individuals, putting
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A new class of fractional impulsive differential hemivariational inequalities with an application Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2022-01-06 Yun-hua Weng, Tao Chen, Nan-jing Huang, Donal O'Regan
We consider a new fractional impulsive differential hemivariational inequality, which captures the required characteristics of both the hemivariational inequality and the fractional impulsive differential equation within the same framework. By utilizing a surjectivity theorem and a fixed point theorem we establish an existence and uniqueness theorem for such a problem. Moreover, we investigate the
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Relative controllability of multiagent systems with pairwise different delays in states Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2022-01-05 Yuanchao Si, JinRong Wang
In this manuscript, relative controllability of leader–follower multiagent systems with pairwise different delays in states and fixed interaction topology is considered. The interaction topology of the group of agents is modeled by a directed graph. The agents with unidirectional information flows are selected as leaders, and the others are followers. Dynamics of each follower obeys a generic time-invariant
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Relative controllability of impulsive multi-delay differential systems Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2022-01-01 Zhongli You,Michal Fečkan,JinRong Wang,Donal O’Regan
In this paper, relative controllability of impulsive multi-delay differential systems in finite dimensional space are studied. By introducing the impulsive multi-delay Gramian matrix, a necessary and sufficient condition, and the Gramian criteria, for the relative controllability of linear systems is given. Using Krasnoselskii’s fixed point theorem, a sufficient condition for controllability of semilinear
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Finite-time stabilization for fractional-order inertial neural networks with time varying delays Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2022-01-01 Chaouki Aouiti,Jinde Cao,Hediene Jallouli,Chuangxia Huang
This paper deals with the finite-time stabilization of fractional-order inertial neural network with varying time-delays (FOINNs). Firstly, by correctly selected variable substitution, the system is transformed into a first-order fractional differential equation. Secondly, by building Lyapunov functionalities and using analytical techniques, as well as new control algorithms (which include the delay-dependent
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Rothe–Legendre pseudospectral method for a semilinear pseudoparabolic equation with nonclassical boundary condition Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2022-01-01 Abdeldjalil Chattouh,Khaled Saoudi,Maroua Nouar
A semilinear pseudoparabolic equation with nonlocal integral boundary conditions is studied in the present paper. Using Rothe method, which is based on backward Euler finitedifference schema, we designed a suitable semidiscretization in time to approximate the original problem by a sequence of standard elliptic problems. The questions of convergence of the approximation scheme as well as the existence
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Existence of fixed point and best proximity point of p-cyclic orbital phi-contraction map Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2022-01-01 Prabavathy Magadevan,Saravanan Karpagam,Erdal Karapınar
In this manuscript, p-cyclic orbital ϕ-contraction map over closed, nonempty, convex subsets of a uniformly convex Banach space X possesses a unique best proximity point if the auxiliary function ϕ is strictly increasing. The given result unifies and extend some existing results in the related literature. We provide an illustrative example to indicate the validity of the observed result.
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Global dynamics for a class of reaction–diffusion multigroup SIR epidemic models with time fractional-order derivatives Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2022-01-01 Zhenzhen Lu,Yongguang Yu,Guojian Ren,Conghui Xu,Xiangyun Meng
This paper investigates the global dynamics for a class of multigroup SIR epidemic model with time fractional-order derivatives and reaction–diffusion. The fractional order considered in this paper is in (0; 1], which the propagation speed of this process is slower than Brownian motion leading to anomalous subdiffusion. Furthermore, the generalized incidence function is considered so that the data
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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 equations Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2022-01-01 Binayak S. Choudhury,Nikhilesh Metiya,Sunirmal Kundu,Priyam Chakraborty
In this paper, we study a fixed point problem for certain rational contractions on γ-complete metric spaces. Uniqueness of the fixed point is obtained under additional conditions. The Ulam–Hyers–Rassias stability of the problem is investigated. Well-posedness of the problem and the data dependence property are also explored. There are several corollaries of the main result. Finally, our fixed point
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Transmission dynamic and backward bifurcation of Middle Eastern respiratory syndrome coronavirus Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2022-01-01 Bibi Fatima,Gul Zaman,Fahd Jarad
Middle East respiratory syndrome coronavirus (MERS-CoV) remains an emerging disease threat with regular human cases on the Arabian Peninsula driven by recurring camels to human transmission events. In this paper, we present a new deterministic model for the transmission dynamics of (MERS-CoV). In order to do this, we develop a model formulation and analyze the stability of the proposed model. The stability
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Exponentials of general multivector in 3D Clifford algebras Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2022-01-01 Adolfas Dargys,Artūras Acus
Closed form expressions to calculate the exponential of a general multivector (MV) in Clifford geometric algebras (GAs) Clp;q are presented for n = p + q = 3. The obtained exponential formulas were applied to find exact GA trigonometric and hyperbolic functions of MV argument. We have verified that the presented exact formulas are in accord with series expansion of MV hyperbolic and trigonometric functions
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Global dynamics of solutions for a sixth-order parabolic equation describing continuum evolution of film-free surface Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2022-01-01 Ning Duan,Xiaopeng Zhao
This paper is concerned with a sixth-order diffusion equation, which describes continuum evolution of film-free surface. By using the regularity estimates for the semigroups, iteration technique and the classical existence theorem of global attractors we verified the existence of global attractor for this surface diffusion equation in the spaces H3(Ω) and fractional-order spaces Hk(Ω), where 0 ≤ k
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Some critical remarks on “Some new fixed point results in rectangular metric spaces with an application to fractional-order functional differential equations” Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2022-01-01 Mudasir Younis,Aleksandra Stretenović,Stojan Radenović
In this manuscript, we generalize, improve, and enrich recent results established by Budhia et al. [L. Budhia, H. Aydi, A.H. Ansari, D. Gopal, Some new fixed point results in rectangular metric spaces with application to fractional-order functional differential equations, Nonlinear Anal. Model. Control, 25(4):580–597, 2020]. This paper aims to provide much simpler and shorter proofs of some results
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Practical stability for fractional impulsive control systems with noninstantaneous impulses on networks Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2022-01-01 Jin You,Shurong Sun
This paper investigates practical stability for a class of fractional-order impulsive control coupled systems with noninstantaneous impulses on networks. Using graph theory and Lyapunov method, new criteria for practical stability, uniform practical stability as well as practical asymptotic stability are established. In this paper, we extend graph theory to fractional-order system via piecewise Lyapunov-like
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Synchronization of chaotic delayed systems via intermittent control and its adaptive strategy Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2021-11-01 Mei Liu, Jie Chen, Haijun Jiang, Zhiyong Yu, Cheng Hu, Binglong Lu
In this paper the problem of synchronization for delayed chaotic systems is considered based on aperiodic intermittent control. First, delayed chaotic systems are proposed via aperiodic adaptive intermittent control. Next, to cut down the control gain, a new generalized intermittent control and its adaptive strategy is introduced. Then, by constructing a piecewise Lyapunov auxiliary function and making
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Modeling the effects of insecticides and external efforts on crop production Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2021-11-01 A.K. Misra,Rahul Patel,Navnit Jha
In this paper a nonlinear mathematical model is proposed and analyzed to understand the effects of insects, insecticides and external efforts on the agricultural crop productions. In the modeling process, we have assumed that crops grow logistically and decrease due to insects, which are wholly dependent on crops. Insecticides and external efforts are applied to control the insect population and enhance
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Steady state non-Newtonian flow with strain rate dependent viscosity in domains with cylindrical outlets to infinity Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2021-11-01 Grigory Panasenko,Konstantin Pileckas,Bogdan Vernescu
The paper deals with a stationary non-Newtonian flow of a viscous fluid in unbounded domains with cylindrical outlets to infinity. The viscosity is assumed to be smoothly dependent on the gradient of the velocity. Applying the generalized Banach fixed point theorem, we prove the existence, uniqueness and high order regularity of solutions stabilizing in the outlets to the prescribed quasi-Poiseuille
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Asymptotic formulas for the left truncated moments of sums with consistently varying distributed increments Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2021-11-01 Jonas Sprindys,Jonas Šiaulys
In this paper, we consider the sum Snξ = ξ1 + ... + ξn of possibly dependent and nonidentically distributed real-valued random variables ξ1, ... , ξn with consistently varying distributions. By assuming that collection {ξ1, ... , ξn} follows the dependence structure, similar to the asymptotic independence, we obtain the asymptotic relations for E((Snξ)α1(Snξ > x)) and E((Snξ – x)+)α, where α is an
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Study on evolution of a predator–prey model in a polluted environment Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2021-11-01 Bing Liu,Xin Wang,Le Song,Jingna Liu
In this paper, we investigate the effects of pollution on the body size of prey about a predator–prey evolutionary model with a continuous phenotypic trait in a pulsed pollution discharge environment. Firstly, an eco-evolutionary predator–prey model incorporating the rapid evolution is formulated to investigate the effects of rapid evolution on the population density and the body size of prey by applying
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On the boundary value problems of piecewise differential equations with left-right fractional derivatives and delay Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2021-11-01 Yuxin Zhang,Xiping Liu,Mei Jia
In this paper, we study the multi-point boundary value problems for a new kind of piecewise differential equations with left and right fractional derivatives and delay. In this system, the state variables satisfy the different equations in different time intervals, and they interact with each other through positive and negative delay. Some new results on the existence, no-existence and multiplicity
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Feedback exponential stabilization of the semilinear heat equation with nonlocal initial conditions Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2021-11-01 Ionuţ Munteanu
The present paper is devoted to the problem of stabilization of the one-dimensional semilinear heat equation with nonlocal initial conditions. The control is with boundary actuation. It is linear, of finite-dimensional structure, given in an explicit form. It allows to write the corresponding solution of the closed-loop equation in a mild formulation via a kernel, then to apply a fixed point argument
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Analysis of fractional hybrid differential equations with impulses in partially ordered Banach algebras Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2021-11-01 Jin You,Zhenlai Han
In this paper, we investigate a class of fractional hybrid differential equations with impulses, which can be seen as nonlinear differential equations with a quadratic perturbation of second type and a linear perturbation in partially ordered Banach algebras. We deduce the existence and approximation of a mild solution for the initial value problems of this system by applying Dhage iteration principles
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Entropy generation for MHD natural convection in enclosure with a micropolar fluid saturated porous medium with Al2O3Cu water hybrid nanofluid Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2021-11-01 A. Mahdy,S.E. Ahmed,M.A. Mansour
This contribution gives a numerical investigation of buoyancy-driven flow of natural convection heat transfer and entropy generation of non-Newtonian hybrid nanofluid (Al2O3-Cu) within an enclosure square porous cavity. Hybrid nanofluids represent a novel type of enhanced active fluids. During the current theoretical investigation, an actual available empirical data for both thermal conductivity and
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Hidden maximal monotonicity in evolutionary variational-hemivariational inequalities Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2021-11-01 Emilio Vilches,Shengda Zeng
In this paper, we propose a new methodology to study evolutionary variational-hemivariational inequalities based on the theory of evolution equations governed by maximal monotone operators. More precisely, the proposed approach, based on a hidden maximal monotonicity, is used to explore the well-posedness for a class of evolutionary variational-hemivariational inequalities involving history-dependent
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Relative controllability of a stochastic system using fractional delayed sine and cosine matrices Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2021-11-01 JinRong Wang,T. Sathiyaraj,Donal O’Regan
In this paper, we study the relative controllability of a fractional stochastic system with pure delay in finite dimensional stochastic spaces. A set of sufficient conditions is obtained for relative exact controllability using fixed point theory, fractional calculus (including fractional delayed linear operators and Grammian matrices) and local assumptions on nonlinear terms. Finally, an example
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Finite-time stabilization of discontinuous fuzzy inertial Cohen–Grossberg neural networks with mixed time-varying delays Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2021-09-01 Fanchao Kong, Quanxin Zhu, Rathinasamy Sakthivel
This article aims to study a class of discontinuous fuzzy inertial Cohen–Grossberg neural networks (DFICGNNs) with discrete and distributed time-delays. First of all, in order to deal with the discontinuities by the differential inclusion theory, based on a generalized variable transformation including two tunable variables, the mixed time-varying delayed DFICGNN is transformed into a first-order differential
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A study of common fixed points that belong to zeros of a certain given function with applications Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2021-09-01 Hayel N. Saleh,Mohammad Imdad,Erdal Karapinar
In this paper, we establish some point of φ-coincidence and common φ-fixed point results for two self-mappings defined on a metric space via extended CG-simulation functions. By giving an example we show that the obtained results are a proper extension of several well-known results in the existing literature. As applications of our results, we deduce some results in partial metric spaces besides proving
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Existence of a unique solution for a third-order boundary value problem with nonlocal conditions of integral type Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2021-09-01 Sergey Smirnov
The existence of a unique solution for a third-order boundary value problem with integral condition is proved in several ways. The main tools in the proofs are the Banach fixed point theorem and the Rus’s fixed point theorem. To compare the applicability of the obtained results, some examples are considered.
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A mathematical model of population dynamics for the internet gaming addiction Nonlinear Anal. Model. Control (IF 2.6) Pub Date : 2021-09-01 Hiromi Seno
As the number of internet users appears to steadily increase each year, Internet Gaming Disorder (IGD) is bound to increase as well. The question how this increase will take place, and what factors have the largest impact on this increase, naturally arises. We consider a system of ordinary differential equations as a simple mathematical model of the population dynamics about the internet gaming. We