样式: 排序: IF: - GO 导出 标记为已读
-
Model-order reduction for hyperbolic relaxation systems J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2023-11-21 Sara Grundel, Michael Herty
We propose a novel framework for model-order reduction of hyperbolic differential equations. The approach combines a relaxation formulation of the hyperbolic equations with a discretization using shifted base functions. Model-order reduction techniques are then applied to the resulting system of coupled ordinary differential equations. On computational examples including in particular the case of shock
-
Trajectory controllability of nonlinear fractional Langevin systems J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2023-06-19 Govindaraj Venkatesan, Suresh Kumar Pitchaikkannu
In this paper, we discuss the trajectory controllability of linear and nonlinear fractional Langevin dynamical systems represented by the Caputo fractional derivative by using the Mittag–Leffler function and Gronwall–Bellman inequality. For the nonlinear system, we assume Lipschitz-type conditions on the nonlinearity. Examples are given to illustrate the theoretical results.
-
Master-slave synchronization in the Duffing-van der Pol and Φ6 Duffing oscillators J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2023-03-27 Ulises Uriostegui-Legorreta, Eduardo Salvador Tututi
In this work a master-slave configuration to obtain synchronization between the double-well Duffing-van der Pol (master system) and the three-well Φ6 Duffing oscillators (slave system) is studied. For this configuration, we analyze the system when the dissipative and one that combines the elastic and dissipative couplings are used. Whenever the dissipative coupling is used, we observed a vertical shift
-
Modeling and assessment of the flow and air pollutants dispersion during chemical reactions from power plant activities J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2023-03-15 Alibek Issakhov, Aidana Alimbek
In this work, numerical modeling and assessment of the dispersion of pollutants as a result of a chemical reaction from the activities of the Ekibastuz SDPP-1 was considered. The simulation was done on a valid thermal power plant. At the same time, to model the dispersion of pollutants NO, NO2 and CO were used, and the products NO2, HNO3 and CO2 from a chemical reaction with oxygen were also considered
-
Similarity transformations for modified shallow water equations with density dependence on the average temperature J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2023-02-08 Andronikos Paliathanasis
The Lie symmetry analysis is applied for the study of a modified one-dimensional Saint–Venant system in which the density depends on the average temperature of the fluid. The geometry of the bottom we assume that is a plane, while the viscosity term is considered to be nonzero, as the gravitational force is included. The modified shallow water system is consisted by three hyperbolic first-order partial
-
Numerical modeling of the dam-break flood over natural rivers on movable beds J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-11-25 Alibek Issakhov, Aliya Borsikbayeva, Aizhan Abylkassymova, Assylbek Issakhov, Askar Khikmetov
In the present work, a modified numerical model was developed to simulate the water flow during a dam break with the mud layer transfer of different heights, consisting of three phases (water, air, and a phase for deposition). To carry out a numerical simulation of this process, a mathematical model based on the VOF (volume of fluid) method was modified, taking into account the movement of the water-free
-
Numerical modeling of thermal influence to pollutant dispersion and dynamics of particles motion with various sizes in idealized street canyon J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-11-18 Alibek Issakhov, Perizat Omarova, Albina Mashenkova, Aizhan Abylkassymova
In this paper, a numerical simulation of air pollution and the particles distribution in idealized urban canyons with aspect ratio 1 for various thermal conditions was considered. To solve the problem, the RANS equations were used, while various turbulent models were used to close this system of equations. To validate of the mathematical model was solved the test problem in isothermal condition numerically
-
A class of piecewise fractional functional differential equations with impulsive J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-11-01 Mei Jia, Tingle Li, Xiping Liu
In this paper, we study a class of piecewise fractional functional differential equations with impulsive and integral boundary conditions. By using Schauder fixed point theorem and contraction mapping principle, the results for existence and uniqueness of solutions for the piecewise fractional functional differential equations are established. And by using cone stretching and cone contraction fixed
-
Existence and Hyers–Ulam stability of solutions for nonlinear three fractional sequential differential equations with nonlocal boundary conditions J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-10-27 Muthaiah Subramanian, Murugesan Manigandan, Akbar Zada, Thangaraj Nandha Gopal
In this paper, we analyses the existence and Hyers–Ulam stability of a coupled system of three sequential fractional differential equations with coupled integral boundary conditions. This manuscript can be categorized into three parts: The Leray–Schauder alternative is used to prove the existence of a solution in the first section. The second section emphasizes the analysis of uniqueness, which is
-
Existence and Hyers–Ulam stability of solutions to a nonlinear implicit coupled system of fractional order J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-10-20 Akbar Zada, Asfandyar Ali, Usman Riaz
In this typescript, we study system of nonlinear implicit coupled differential equations of arbitrary (non–integer) order having nonlocal boundary conditions on closed interval [0, 1] with Caputo fractional derivative. We establish sufficient conditions for the existence, at least one and a unique solution of the proposed coupled system with the help of Krasnoselskii’s fixed point theorem and Banach
-
Fredholm determinants and Z n -mKdV/Z n -sinh-Gordon hierarchies J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-10-19 Chuanzhong Li, Wenna Liu
The general Fredholm determinants have a close connection with integrable systems. Inspired by the connection between Fredholm determinants and mKdV/sinh-Gordon hierarchies, we construct a Z n -Fredholm determinant and show how the Z n -Fredholm determinants can be governed by Z n -mKdV/Z n -sinh-Gordon hierarchies.
-
Adaptive control for position and force tracking of uncertain teleoperation with actuators saturation and asymmetric varying time delays J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-10-19 Mehdi Pourseifi, Sara Rezaei
This paper presents a new bounded force feedback control law to improve transparency in nonlinear bilateral teleoperation systems in the presence of three problems in practical applications of teleoperation systems such as input saturation, asymmetric time varying communication delays with no restriction on their rates of variation and parametric uncertainties, simultaneously. The proposed controller
-
Coordinated target tracking in sensor networks by maximizing mutual information J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-10-18 Yintao Wang, Fuchao Xie
This paper addresses the problem of coordinated target tracking in sensor networks. For a typical target tracking scene with nonlinear bearing-only measurements, we first investigate the mutual information between multiple sensors and the target state. To improve the performance of target tracking, we analyzed the relative positions between sensor agents and the target to be tracked and derived the
-
Framing the hydrothermal significance of water-based hybrid nanofluid flow over a revolving disk J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-10-17 Ebrahem A. Algehyne, Fuad S. Alduais, Anwar Saeed, Abdullah Dawar, Muhammad Ramzan, Poom Kumam
In this article, the authors have presented the MHD hybrid nanoliquid flow comprised of CuO and Ag nanoparticles (nps) over a rotating disk under the effects of thermophoresis, Brownian motion, activation energy, heat source and chemical reaction. The flow is considered over a spinning disc with convective conditions. The proposed model is solved with the help of HAM. The convergence of the HAM is
-
Stability with mixed H ∞/passivity performance analysis of fractional-order neutral delayed Markovian jumping neural networks J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-10-17 Padmaja Narasimman, Balasubramaniam Pagavathi Gounder
A detailed survey of existing works on fractional-order nonlinear systems reveals the fact that practically no results exist on stability or any performance analysis of Markovian jumping fractional-order systems (FOSs) in general. The main reason is the theory of infinitesimal generator used to estimate the derivative of Lyapunov–Krasovskii Functional (LKF) is not well-developed in the fractional domain
-
Numerical simulation for generalized space-time fractional Klein–Gordon equations via Gegenbauer wavelet J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-10-17 Mo Faheem, Arshad Khan, Muslim Malik, Amar Debbouche
This paper investigates numerical solution of generalized space-time fractional Klein–Gordon equations (GSTFKGE) by using Gegenbauer wavelet method (GWM). The developed method makes use of fractional order integral operator (FOIO) for Gegenbauer wavelet, which is constructed by employing the definition of Riemann–Liouville fractional integral (RLFI) operator and Laplace transformation. The present
-
Catalytic surface reaction on a vertical wavy surface placed in a non-Darcy porous medium J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-10-17 Nepal Chandra Roy
A mathematical model is developed to analyze the free convection flow induced by catalytic surface reaction on a vertical wavy surface embedded in a non-Darcy porous medium. The governing equations are transformed using a generalized transformation which are valid near to and far from the leading edge. We then solve the resulting equations employing finite difference method. A comparison between the
-
Power minimization of gas transmission network in fully transient state using metaheuristic methods J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-10-17 Hamid Reza Moetamedzadeh, Hossein Khodabakhshi Rafsanjani
In gas transmission networks, the pressure drop caused by friction is one of the main operation costs that is compensated through consuming energy in the compressors. In the competitive market of energy, considering the demand variation is inevitable. Hence, the power minimization should be carried out in transient state. Since the minimization problem is severely nonlinear and nonconvex subjected
-
A study on solvability of the fourth-order nonlinear boundary value problems J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-10-14 Haide Gou
The purpose of the paper is devoted to proving the solvability of the fourth order boundary value problem. Firstly, we build a maximum principle for the corresponding linear equation, by the use of this maximum principle, we develop a monotone iterative technique in the presence of lower and upper solutions to solve the nonlinear equation, secondly, the existence and uniqueness results for the problem
-
A new self-adaptive inertial CQ-algorithm for solving convex feasibility and monotone inclusion problems J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-10-14 Cyril D. Enyi, Olaniyi S. Iyiola, Chinedu G. Ezea
Using a dynamical step size technique, a new self-adaptive CQ-algorithm is proposed in the presence of an inertial term to find the solution of convex feasibility problem and monotone inclusion problem involving a finite number of maximal monotone set valued operators. To do this, in certain Banach spaces, we construct an algorithm which converges to the fixed point of right Bregman strongly nonexpansive
-
Spectral collocation method approach to thermal stability of MHD reactive squeezed fluid flow through a channel J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-10-14 Emmanuel O. Titiloye, Adeshina T. Adeosun, Joel C. Ukaegbu
The current study focuses on the thermal stability of exothermic MHD reactive squeezed fluid flow between parallel plates. The problem’s governing nonlinear partial differential equations are transformed into dimensionless ones. The dimensionless equations obtained are highly nonlinear and are then numerically solved using the spectral collocation method (SCM). The acquired results are verified using
-
Higher order Traub–Steffensen type methods and their convergence analysis in Banach spaces J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-10-14 Deepak Kumar, Janak Raj Sharma, Harmandeep Singh
In this paper, we consider two-step fourth-order and three-step sixth-order derivative free iterative methods and study their convergence in Banach spaces to approximate a locally-unique solution of nonlinear equations. Study of convergence analysis provides radius of convergence, error bounds and estimates on the uniqueness of the solution. Such estimates are not provided in the approaches that use
-
A study of a nonlinear Riemann–Liouville coupled integro-differential system with coupled nonlocal fractional integro-multipoint boundary conditions J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-10-13 Bashir Ahmad, Ahmed Alsaedi, Badrah Alghamdi
We discuss the existence of solutions for a boundary value problem of nonlinear coupled Riemann–Liouville fractional integro-differential equations equipped with coupled nonlocal fractional integro-multipoint boundary conditions. The standard tools of the modern functional analysis are employed to derive the desired results for the problem at hand. The case of nonlinearities depending on the Riemann–Liouville
-
Bifurcation analysis of a new stochastic traffic flow model J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-10-13 WenHuan Ai, RuiHong Tian, DaWei Liu, WenShan Duan
The stochastic function describing the stochastic behavior of traffic flow in the process of acceleration or deceleration can better capture the stochastic characteristics of traffic flow. Based on this, we introduce the stochastic function into a high-order viscous continuous traffic flow model and propose a stochastic traffic flow model. Furthermore, we performed the bifurcation analysis of traffic
-
Extended logistic map for encryption of digital images J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-10-12 Hanis Stanley, Amutha Ramachandran
A novel extended logistic map has been proposed and tested mathematically for security-based applications. Because the designed extended logistic map behaves chaotically across a wide range of logistic control parameters, it is extremely difficult to predict using even the most exhaustive search methods. The map overcomes a significant drawback of simple logistic mapping, which is commonly used in
-
Bifurcation, chaos, and circuit realisation of a new four-dimensional memristor system J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-10-12 Xiaowei Jiang, Jianhao Li, Bo Li, Wei Yin, Li Sun, Xiangyong Chen
This paper discusses the complex dynamic behavior of a novel chaotic system, which was firstly established by introducing a memristor into a similar Chen’s system. Then by choosing a as the key parameter, we analyze the stability of memristor system based on eigenvalue theory. It is also found that when a cross some critical values, the system can exhibit Neimark–Sacker bifurcation and chaos behaviors
-
Theoretical assessment of the impact of awareness programs on cholera transmission dynamic J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-10-12 Daudel Tchatat, Gabriel Kolaye, Samuel Bowong, Anatole Temgoua
In this paper, we propose and analyse a mathematical model of the transmission dynamics of cholera incorporating awareness programs to study the impact of socio-media and education on cholera outbreaks. These programs induce behavioural changes in the population, which divide the susceptible class into two subclasses, aware individuals and unaware individuals. We first provide a basic study of the
-
New soliton waves and modulation instability analysis for a metamaterials model via the integration schemes J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-10-12 Yongyi Gu, Jalil Manafian, Mustafa Z. Mahmoud, Sukaina Tuama Ghafel, Onur Alp Ilhan
In this paper, the exact analytical solutions to the generalized Schrödinger equation are investigated. The Schrodinger type equations bearing nonlinearity are the important models that flourished with the wide-ranging arena concerning plasma physics, nonlinear optics, fluid-flow, and the theory of deep-water waves, etc. In this exploration, the soliton and other traveling wave solutions in an appropriate
-
Hilfer fractional stochastic evolution equations on infinite interval J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-10-12 Min Yang, Yong Zhou
This paper concerns the global existence of mild solutions for a class of Hilfer fractional stochastic evolution equations on infinite interval (0, +∞), while the existing work were considered on finite interval. The main difficulties here are how to construct suitable Banach spaces, proper operator relations, and then how to formulate the new criteria to guarantee the global existence of mild solutions
-
PS and GW optimization of variable sliding gains mode control to stabilize a wind energy conversion system under the real wind in Adrar, Algeria J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-10-11 Fatiha Bekraoui, Abdelkader Harrouz, Khayra Roummani, Ibrahim Boussaid, Amina Bekraoui
In this paper, a sliding mode controller is implemented to a permanent synchronous generator direct driven wind energy conversion system. The goal of this proposed work is to control the stator directly and quadrature axis currents to minimize the chattering phenomenon. To achieve this goal, we use two numerical techniques which are PSO (particle swarm optimization) and GWO (grey wolf optimization)
-
Cryptanalysis of various images based on neural networks with leakage and time varying delays J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-10-11 Munia Samy Manikandan, Seng Huat Ong
The main objective of this paper is to provide an efficient image encryption for each and every single person in order to secure their own records while saving them in social networks. We have formulated the delayed fuzzy cellular neural networks (FCNNs) with suitable keys that are the values of the parameters of FCNNs and obtain the irregular dynamical signal (solution) which encrypts the images.
-
An analysis on approximate controllability of Atangana–Baleanu fractional semilinear control systems J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-10-11 Williams Kavitha Williams, Velusamy Vijayakumar, Anurag Shukla, Kottakkaran Sooppy Nisar
The article deals with the approximate controllability of Atangana–Baleanu semilinear control systems. The outcomes are derived by applying Gronwall’s inequality and Cauchy sequence, and avoid the use of the fixed point theorem. We have also included an example for the validation of theoretical results.
-
Hybrid solitary wave solutions of the Camassa–Holm equation J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-10-10 Hugues M. Omanda, Clovis T. Djeumen Tchaho, Didier Belobo Belobo
The Camassa–Holm equation governs the dynamics of shallow water waves or in its reduced form models nonlinear dispersive waves in hyperelastic rods. By using the straightforward Bogning-Djeumen Tchaho-Kofané method, explicit expressions of many solitary wave solutions with different profiles not previously derived in the literature are constructed and classified. Geometric characterizations of the
-
Computational study of intravenous magnetic drug targeting using implanted magnetizable stent J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-10-10 Andrej Krafcik, Melania Babincova, Peter Babinec, Ivan Frollo
Magnetic carriers for guiding, delivery, and capturing of drugs to desired place attract interest in the field of smart treatment of various pathological conditions. Presented paper, therefore, deals with one such application with the theoretical model of magnetic fluid flow through vessel bifurcation with one arm treated with ferromagnetic vascular stent placed in an external originally homogeneous
-
On the penetration efficiency of ceramic fragments through steel targets J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-10-10 Weizhan Wang, Peng Tian, Wenjie Lu, Fangao Meng, Zhigang Chen, Taiyong Zhao
The penetration efficiency of novel ceramic fragments should be investigated, and their weapon damage effectiveness must be evaluated. In this study, the efficiency of ceramic fragments in penetrating steel targets were analyzed through ballistic impact tests and numerical simulations. The penetration patterns of these ceramic fragments through steel targets indicate significant perforation. It was
-
A generalized stochastic SIR epidemic model with vaccination rules J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-10-10 Zhihui Ma, Ting Qi, Xiaohua Li
In this paper, a generalized stochastic SIR epidemic model with vaccination rules is presented and the threshold behavior of the proposed epidemic model is investigated. Firstly, the stability of the equilibrium of the deterministic system is considered and the corresponding conditions are obtained. Secondly, the threshold of a stochastic SIR system for the extinction and the permanence in mean of
-
An uncertainty measure based on Pearson correlation as well as a multiscale generalized Shannon-based entropy with financial market applications J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-10-07 Ali Koushki, Mohammad Osoolian, Seyed Jalal Sadeghi Sharif
In this research, we intended to employ the Pearson correlation and a multiscale generalized Shannon-based entropy to trace the transition and type of inherent mutual information as well as correlation structures simultaneously. An optimal value for scale is found to prevent over smoothing, which leads to the removal of useful information. The lowest Singular Value Decomposition Multiscale Generalized
-
Discussion on controllability of non-densely defined Hilfer fractional neutral differential equations with finite delay J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-10-06 Krishnan Kavitha, Velusamy Vijayakumar
This manuscript prospects the controllability of Hilfer fractional neutral differential equations. The new results are obtained by implementing a suitable fixed point approach and the technique of measures of noncompactness and the outcomes and facts belong to fractional theory. Firstly, we focus the controllability and extend the discussion with nonlocal conditions. Finally, an interesting example
-
The influence pulse-like near-field earthquakes on repairability index of reversible in mid-and short-rise buildings J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-10-06 Mohammad Bavandi
Conventional earthquake-resistant systems, often experience inelastic behavior in a part of the structure during a large earthquake and eventually causing residual deformation and damage to the structure. Repairing these damages are unaffordable and often leads to structure destruction. Therefore, the use of structures with the ability to focus damage on interchangeable elements, which leads to reduced
-
A linearized finite difference scheme for time–space fractional nonlinear diffusion-wave equations with initial singularity J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-10-06 Emadidin Gahalla Mohmed Elmahdi, Jianfei Huang
This paper presents a linearized finite difference scheme for solving a kind of time-space fractional nonlinear diffusion-wave equations with initial singularity, where the Caputo fractional derivative in time and the Riesz fractional derivative in space are involved. First, the considered problem is equivalently transformed into its partial integro-differential form. Then, the fully discrete scheme
-
Asymptotic behavior for stochastic plate equations with memory in unbounded domains J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-10-06 Xiao Bin Yao
In this paper, we investigate the dynamics of stochastic plate equations with memory in unbounded domains. More specifically, we obtain the uniform in time estimates for solutions of the problem. Based on the estimates above, we prove the existence and uniqueness of random attractors in unbounded domains. Finally, we show the upper semicontinuity of the attractors when stochastic perturbations approaches
-
Construction of complexiton-type solutions using bilinear form of Hirota-type J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-10-06 Melike Kaplan, Nauman Raza
In this paper, based on the Hirota bilinear form and the extended transformed rational function method, complexiton solutions have been found of the Hirota–Satsuma–Ito (HSI) equation and generalized Calogero–Bogoyavlenskii–Schiff equation through a direct symbolic computation with Maple. This method is the improved form of the transformed rational function method. The obtained complexiton solutions
-
A Chebyshev collocation method for solving the non-linear variable-order fractional Bagley–Torvik differential equation J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-10-06 Ahmed Z. Amin, António M. Lopes, Ishak Hashim
A numerical approach based on the shifted Chebyshev–Gauss collocation method is proposed for solving the non-linear variable-order fractional Bagley–Torvik differential equation (VO-FBTE), subject to initial and boundary conditions. The shifted fractional Chebyshev–Gauss collocation points are used as interpolation nodes, and the solution of the VO-FBTE is approximated by a truncated series of the
-
Iterative learning control for conformable stochastic impulsive differential systems with randomly varying trial lengths J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-10-06 Wanzheng Qiu, Michal Fečkan, JinRong Wang, Dong Shen
In this paper, we introduce a new kind of conformable stochastic impulsive differential systems (CSIDS) involving discrete distribution of Bernoulli. For random discontinuous trajectories, we modify the tracking error of piecewise continuous variables by a zero-order holder. First, the improved P-type and PD α -type learning laws of the random iterative learning control (ILC) scheme are designed through
-
Lie symmetry analysis for two-phase flow with mass transfer J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-10-06 Andronikos Paliathanasis
We perform a complete symmetry classification for the hyperbolic system of partial differential equations, which describes a drift-flux two-phase flow in a one-dimensional pipe, with a mass-transfer term between the two different phases of the fluid. In addition, we consider the polytropic equation of states parameter and gravitational forces. For general values of the polytropic indices, we find that
-
Ground state solutions of Schrödinger system with fractional p-Laplacian J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-10-06 Yan Qiao, Fangqi Chen, Yukun An
This article deals with a class of nonlinear fractional p-Laplacian Schr o ̈ $\ddot{o}$ dinger coupled system with critical and subcritical nonlinear terms. Firstly, the existence of a nonnegative ground state solution of the system is proved by the Nehari manifold method and the Ekeland’s variational principle. In addition, through the Ljusternik–Schnirelmann theory, we link the number of solutions
-
Higher order codimension bifurcations in a discrete-time toxic-phytoplankton–zooplankton model with Allee effect J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-10-06 Sanaa Moussa Salman, Abdelalim A. Elsadany
In this paper, we use new methods to investigate different bifurcations of fixed points in a discrete-time toxic-phytoplankton–zooplankton model with Allee effect. The nonstandard discretization scheme produces a discrete analog of the continuous-time toxic-phytoplankton–zooplankton model with Allee effect. The local stability for proposed system around all of its fixed points is derived. We obtain
-
Controllability discussion for fractional stochastic Volterra–Fredholm integro-differential systems of order 1 < r < 2 J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-10-06 Chendrayan Dineshkumar, Velusamy Vijayakumar, Ramalingam Udhayakumar, Anurag Shukla, Kottakkaran Sooppy Nisar
The main motivation of our conversation is the existence and approximate controllability for fractional stochastic Volterra–Fredholm integro-differential systems having order 1 < r < 2. The primary outcomes are obtained by applying concepts and ideas from fractional calculus, multivalued maps, the theory of cosine family, Martelli and Dhage, and Leray–Schauder fixed point techniques. We begin by emphasizing
-
Characteristics of internal flow of nozzle integrated with aircraft under transonic flow J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-10-05 Zijie Li, Hao Wang
To reveal how aircraft affects the internal flow of the ejector nozzle, we have constructed three model types in this article. These include the model of SR-71 aircraft, the model that only contains ejector nozzle with third auxiliary valve, and the model that integrates the previous two. The results showed that in the transonic regime (M a = 1.2), the third auxiliary flow mainly stems from the boundary
-
A modified high-order symmetrical WENO scheme for hyperbolic conservation laws J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-10-04 Rooholah Abedian
This paper designs a modified weighted essentially non-oscillatory (WENO) scheme for solving hyperbolic conservation laws. Using the switching principle based on inflection points, the new scheme automatically adapts between linear upwind and WENO schemes. If there is at least one inflection point in the largest stencil available for reconstruction, a symmetrical WENO (SWENO) scheme is considered for
-
A new numerical formulation for the generalized time-fractional Benjamin Bona Mohany Burgers’ equation J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-10-04 Reetika Chawla, Komal Deswal, Devendra Kumar
In this article, we present a novel numerical formulation for the generalized time-fractional Benjamin Bona Mohany Burgers’ (BBMB) equation using Atangana Baleanu Caputo (ABC) derivative. First, we apply a linearization technique to deal with the generalized non-linear expression, and then the Crank–Nicolson finite difference formula is used in the temporal direction. A reliable numerical technique
-
Chebyshev wavelet-Picard technique for solving fractional nonlinear differential equations J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-10-04 Xiaoyong Xu, Fengying Zhou
In the present paper, an efficient method based on a new kind of Chebyshev wavelet together with Picard technique is developed for solving fractional nonlinear differential equations with initial and boundary conditions. The new orthonormal Chebyshev wavelet basis is constructed from a class of orthogonal polynomials called the fifth-kind Chebyshev polynomials. The convergence analysis and error estimation
-
Theoretical and numerical analysis of a prey–predator model (3-species) in the frame of generalized Mittag-Leffler law J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-10-01 Mohammed A. Almalahi, Mohammed S. Abdo, Thabet Abdeljawad, Ebenezer Bonyah
In the present paper, a new fractional order predator–prey model is considered. The applied fractional operator is a generalized Atangana–Baleanu–Caputo (ABC) derivative, which does not require any restrictions on the initial conditions as in the case of classical ABC fractional derivatives. On the theoretical aspect, we prove the existence, uniqueness, and Ulam–Hyers stability results by using some
-
Numerical simulations of wave propagation in a stochastic partial differential equation model for tumor–immune interactions J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-10-01 Mahmoud B. A. Mansour, Hussien S. Hussien, Asmaa H. Abobakr
In this paper, we introduce a stochastic partial differential equation model for the spatial dynamic of tumor–immune interactions. We perform numerical simulations in order to investigate the propagation of traveling waves in model system under the influence of random space-time fluctuations. One of methods is to solve a stochastic partial differential equation system for tumor–immune cell densities
-
Frequency responses for induced neural transmembrane potential by electromagnetic waves (1 kHz to 1 GHz) J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-09-23 Zahra Hajizadeh Bakhtiary, Mehrdad Saviz
Many biophysical effects of electromagnetic radiation are interpreted based on the induced voltage on cellular membranes. It is very instructive to study wideband frequency responses showing how an impinging electromagnetic wave carrying a certain time waveform translates into a time-dependent change in the cell-membrane potentials in any desired tissue. A direct numerical solution of this problem
-
Adaptive extragradient methods for solving variational inequalities in real Hilbert spaces J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-09-19 Duong Viet Thong, Xiao-Huan Li, Qiao-Li Dong, Hoang Van Thang, Luong Van Long
The projection technique is a very important method and efficient for solving variational inequality problems. In this study, we developed the subgradient extragradient method for solving pseudomonotone variational inequality in real Hilbert spaces. Our first algorithm requires only computing one projection onto the feasible set per iteration and the strong convergence is proved without the prior knowledge
-
Global stability for a SEIQR worm propagation model in mobile internet J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-08-19 Liang Zhang, Pengyan Liu
Recently, propagation models of worms in the mobile environment are drawing extensive attention, particularly in the Wi-Fi scenario. Considering that worm-free equilibrium is exponential convergent means that the propagation time and control time of worms are much shorter than for other asymptotic convergence. Besides, the global asymptotic stability of the endemic equilibrium is more important than
-
Buoyancy driven flow characteristics inside a cavity equiped with diamond elliptic array J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-08-17 Raoudha Chaabane, Lioua Kolsi, Abdelmajid Jemni, Annunziata D’Orazio
This study numerically investigates the two-dimensional natural convection in a square enclosure with an isothermal diamond elliptic array at Rayleigh numbers of 104 ≤ Ra ≤ 107. Three cases are considered, i.e., case 1 where two pairs of circular heating bodies are used inside the cavity, one is placed on the vertical centerline (VC) of the cavity and the other on the horizontal centerline (HC), case
-
M-lump waves and their interactions with multi-soliton solutions for the (3 + 1)-dimensional Jimbo–Miwa equation J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-08-09 Hajar Farhan Ismael, Shoukry El-Ganaini, Hasan Bulut
In this work, the dynamical behaviors of the Jimbo–Miwa equation that describes certain interesting (3 + 1)-dimensional waves in physics but does not pass any of the conventional integrability tests are studied. One-, two-, and three-M-lump waves are constructed successfully. Interactions between one-M-lump and one-soliton wave, between one-M-lump and two-soliton wave as well as between two-M-lump
-
Optimal control for a class of fractional order neutral evolution equations J. Nonlinear Complex Data Sci. (IF 1.5) Pub Date : 2022-08-09 He Yang, Jihong Wang
The optimal control, for a class of nonlinear neutral evolution equations involving Riemann–Liouville fractional derivative, is investigated in this paper by using Darbo–Sadovskii fixed point theorem. An example is given in the last section to illustrate the validity of the abstract conclusions.