Articles

Nonoscillatory solutions to fourth-order neutral dynamic equations on time scales

In this paper, we present some sufficient conditions and necessary conditions for the existence of nonoscillatory solutions to a class of fourth-order nonlinear neutral dynamic equations on time scales by empl...

Authors: Yang-Cong Qiu

Asymptotic behavior for the semilinear reaction–diffusion equations with memory

In this paper, we consider the dynamics of a reaction–diffusion equation with fading memory and nonlinearity satisfying arbitrary polynomial growth condition. Firstly, we prove a criterion in a general setting...

Authors: Jiangwei Zhang, Yongqin Xie, Qingqing Luo and Zhipiao Tang

Dynamic complexity and bifurcation analysis of a host–parasitoid model with Allee effect and Holling type III functional response

In this paper, we focus on dynamics in a basic discrete-time system of host–parasitoid interaction. We perform local stability analysis of this system. Furthermore, both flip and Neimark–Sacker bifurcations ar...

Authors: Hua Liu, Kai Zhang, Yong Ye, Yumei Wei and Ming Ma

Operators constructed by means of basic sequences and nuclear matrices

In this work, we establish an approach to constructing compact operators between arbitrary infinite-dimensional Banach spaces without a Schauder basis. For this purpose, we use a countable number of basic sequ...

Authors: Ahmed Morsy, Nashat Faried, Samy A. Harisa and Kottakkaran Sooppy Nisar

Numerical solution of nonlinear stochastic Itô–Volterra integral equations based on Haar wavelets

In this paper, an efficient numerical method is presented for solving nonlinear stochastic Itô–Volterra integral equations based on Haar wavelets. By the properties of Haar wavelets and stochastic integration ...

Authors: Jieheng Wu, Guo Jiang and Xiaoyan Sang

A perspective on graph theory-based stability analysis of impulsive stochastic recurrent neural networks with time-varying delays

In this work, the exponential stability problem of impulsive recurrent neural networks is investigated; discrete time delay, continuously distributed delay and stochastic noise are simultaneously taken into co...

Authors: M. Iswarya, R. Raja, G. Rajchakit, J. Cao, J. Alzabut and C. Huang

Singular traveling wave solutions for Boussinesq equation with power law nonlinearity and dual dispersion

In this paper we study the Boussinesq equation with power law nonlinearity and dual dispersion which arises in fluid dynamics. A particular kind of product of distributions is introduced and applied to solve n...

Authors: Shan Zheng, Zhengyong Ouyang and Kuilin Wu

Estimation for random coefficient integer-valued autoregressive model under random environment

A first-order random coefficient integer-valued autoregressive model based on the negative binomial thinning operator under r states random environment is introduced. This paper derives numerical characteristics ...

Authors: Yan Cui and Yun Y. Wang

Upper class of type I on coupled coincidence point results for some contractions in partially ordered JS-metric spaces

In this research work, the necessary and sufficient conditions of a coupled coincidence point of certain type of generalized contractions are explored. These results are considered under JS-metric spaces equip...

Authors: A. H. Ansari, A. Khemphet, N. Phudolsitthiphat and A. Wiriyapongsanon

Projective synchronization of different uncertain fractional-order multiple chaotic systems with input nonlinearity via adaptive sliding mode control

This paper introduces the projective synchronization of different fractional-order multiple chaotic systems with uncertainties, disturbances, unknown parameters, and input nonlinearities. A fractional adaptive...

Authors: Zahra Rashidnejad Heydari and Paknosh Karimaghaee

Optimal control in a malaria model: intervention of fumigation and bed nets

Malaria is one of the world’s most serious health problems because of the increasing number of cases every year. First, we discuss a deterministic model of epidemic SIR-SI spread of malaria with the interventi...

Authors: Bevina D. Handari, Febyan Vitra, Radhiya Ahya, Tengku Nadya S. and Dipo Aldila

Some invariant solutions and conservation laws of a type of long-water wave system

We propose a generalized long-water wave system that reduces to the standard water wave system. We also obtain the Lax pair and symmetries of the generalized shallow-water wave system and single out some their...

Authors: Xiangzhi Zhang and Yufeng Zhang

A combined compact difference scheme for option pricing in the exponential jump-diffusion models

In the present paper, starting with the Black–Scholes equations, whose solutions are the values of European options, we describe the exponential jump-diffusion model of Levy process type. Here, a jump-diffusio...

Authors: Rahman Akbari, Reza Mokhtari and Mohammad Taghi Jahandideh

Existence of traveling wave solutions with critical speed in a delayed diffusive epidemic model

In this paper, we prove the existence of a critical traveling wave solution for a delayed diffusive SIR epidemic model with saturated incidence. Moreover, we establish the nonexistence of traveling wave soluti...

Authors: Yueling Cheng, Dianchen Lu, Jiangbo Zhou and Jingdong Wei

Soliton solutions to the time-dependent coupled KdV–Burgers’ equation

Authors: Aisha Alqahtani and Vikas Kumar

Numerical approximation for the solution of linear sixth order boundary value problems by cubic B-spline

In the current paper, authors proposed a computational model based on the cubic B-spline method to solve linear 6th order BVPs arising in astrophysics. The prescribed method transforms the boundary problem to ...

Authors: A. Khalid, M. N. Naeem, P. Agarwal, A. Ghaffar, Z. Ullah and S. Jain

Local and global bifurcation of steady states to a general Brusselator model

Authors: Zhongzi Zhao and Ruyun Ma

On type 2 degenerate Bernoulli and Euler polynomials of complex variable

Recently, Masjed-Jamei, Beyki, and Koepf studied the so-called new type Euler polynomials without using Euler polynomials of complex variable. Here we study the type 2 degenerate cosine-Euler and type 2 degene...

Authors: Taekyun Kim, Dae San Kim, Lee-Chae Jang and Han-Young Kim

On implicit impulsive Langevin equation involving mixed order derivatives

In this paper, we consider a nonlocal boundary value problem of nonlinear implicit impulsive Langevin equation involving mixed order derivatives. Sufficient conditions are constructed to discuss the qualitativ...

Authors: Akbar Zada, Rizwan Rizwan, Jiafa Xu and Zhengqing Fu

Multiple periodic orbits of high-dimensional differential delay systems

Authors: Zhongmin Sun, Weigao Ge and Lin Li

A new mixed discontinuous Galerkin method for the electrostatic field

We introduce and analyze a new mixed discontinuous Galerkin method for approximation of an electric field. We carry out its error analysis and prove an error estimate that is optimal in the mesh size. Some num...

Authors: Abdelhamid Zaghdani and Mohamed Ezzat

Impulsive boundary value problems containing Caputo fractional derivative of a function with respect to another function

In this paper, we study the existence and uniqueness for a new class of impulsive fractional boundary value problems with separated boundary conditions containing the Caputo fractional derivative of a function...

Authors: Chanon Promsakon, Eakachai Suntonsinsoungvon, Sotiris K. Ntouyas and Jessada Tariboon

Second-order numerical methods for the tempered fractional diffusion equations

In this paper, a class of second-order tempered difference operators for the left and right Riemann–Liouville tempered fractional derivatives is constructed. And a class of second-order numerical methods is pr...

Authors: Zeshan Qiu and Xuenian Cao

New criteria for oscillation of nonlinear neutral differential equations

Authors: Osama Moaaz

Robust adaptive synchronization of complex network with bounded disturbances

In this paper, we investigate distributed robust adaptive synchronization for complex networked systems with bounded disturbances. We propose both average synchronization protocol and leader-following synchron...

Authors: Chengjie Xu, Housheng Su, Chen Liu and Guohua Zhang

Neural networks-based adaptive finite-time control of switched nonlinear systems under time-varying actuator failures

This paper is dedicated to neural networks-based adaptive finite-time control design of switched nonlinear systems in the time-varying domain. More specifically, by employing the approximation ability of neura...

Authors: Xikui Liu, Xiurong Shi and Yan Li

On an initial inverse problem for a diffusion equation with a conformable derivative

In this paper, we consider the initial inverse problem for a diffusion equation with a conformable derivative in a general bounded domain. We show that the backward problem is ill-posed, and we propose a regul...

Authors: Tran Thanh Binh, Nguyen Hoang Luc, Donal O’Regan and Nguyen H. Can

Existence and Ulam stability for implicit fractional q-difference equations

This paper deals with some existence, uniqueness and Ulam–Hyers–Rassias stability results for a class of implicit fractional q-difference equations. Some applications are made of some fixed point theorems in B...

Authors: Saïd Abbas, Mouffak Benchohra, Nadjet Laledj and Yong Zhou

Periodic pulse control of Hopf bifurcation in a fractional-order delay predator–prey model incorporating a prey refuge

This paper is concerned with periodic pulse control of Hopf bifurcation for a fractional-order delay predator–prey model incorporating a prey refuge. The existence and uniqueness of a solution for such system ...

Authors: Xiuduo Liu and Hui Fang

Discontinuous finite volume element method of two-dimensional unsaturated soil water movement problem

In this paper, a numerical approximation method for the two-dimensional unsaturated soil water movement problem is established by using the discontinuous finite volume method. We prove the optimal error estima...

Authors: Fan Chen and Zhixiao Xu

Positive solutions to n-dimensional \(\alpha _{1}+\alpha _{2}\) order fractional differential system with p-Laplace operator

In this paper, we study an n-dimensional fractional differential system with p-Laplace operator, which involves multi-strip integral boundary conditions. By using the Leggett–Williams fixed point theorem, the exi...

Authors: Tian Wang, Guo Chen and Huihui Pang

Global properties of saturated chikungunya virus dynamics models with cellular infection and delays

This paper studies the global properties of chikungunya virus (CHIKV) dynamics models with both CHIKV-to-monocytes and infected-to-monocyte transmissions. We assume that the infection rate of modeling CHIKV in...

Authors: A. M. Elaiw, S. E. Almalki and A. D. Hobiny

Existence and uniqueness of solutions for multi-term fractional q-integro-differential equations via quantum calculus

In this investigation, by applying the definition of the fractional q-derivative of the Caputo type and the fractional q-integral of the Riemann–Liouville type, we study the existence and uniqueness of solutions ...

Authors: Sotiris K. Ntouyas and Mohammad Esmael Samei

On a coupled system of higher order nonlinear Caputo fractional differential equations with coupled Riemann–Stieltjes type integro-multipoint boundary conditions

We study a coupled system of Caputo fractional differential equations with coupled non-conjugate Riemann–Stieltjes type integro-multipoint boundary conditions. Existence and uniqueness results for the given bo...

Authors: Ahmed Alsaedi, Bashir Ahmad, Ymnah Alruwaily and Sotiris K. Ntouyas

On the new fractional hybrid boundary value problems with three-point integral hybrid conditions

We investigate some new class of hybrid type fractional differential equations and inclusions via some nonlocal three-point boundary value conditions. Also, we provide some examples to illustrate our results.

Authors: D. Baleanu, S. Etemad, S. Pourrazi and Sh. Rezapour

Preview tracking control for a class of fractional-order linear systems

This paper studies the preview tracking control of a class of fractional-order linear systems. Firstly, we use the fractional derivative property to take the fractional derivative of both sides of the state eq...

Authors: Fucheng Liao and Hao Xie

Lucas polynomials semi-analytic solution for fractional multi-term initial value problems

Herein, we use the generalized Lucas polynomials to find an approximate numerical solution for fractional initial value problems (FIVPs). The method depends on the operational matrices for fractional different...

Authors: Mahmoud M. Mokhtar and Amany S. Mohamed

Positive solutions of beam equations under nonlocal boundary value conditions

Authors: Shenglin Wang, Jialong Chai and Guowei Zhang

Global stability of an SEIR epidemic model where empirical distribution of incubation period is approximated by Coxian distribution

In this work, we have developed a Coxian-distributed SEIR model when incorporating an empirical incubation period. We show that the global dynamics are completely determined by a basic reproduction number. An ...

Authors: Sungchan Kim, Jong Hyuk Byun and Il Hyo Jung

Oscillatory behavior of a second order nonlinear advanced differential equation with mixed neutral terms

Authors: Hongwei Shi and Yuzhen Bai

Sixteen practically solvable systems of difference equations

Closed-form formulas for general solutions to sixteen hyperbolic-cotangent-type systems of difference equations of interest are obtained, showing their practical solvability and completely solving a solvabilit...

Authors: Stevo Stević

Existence and multiplicity of solutions for fractional Schödinger equation involving a critical nonlinearity

In this paper, we investigate the fractional Schödinger equation involving a critical growth. By using the principle of concentration compactness and the variational method, we obtain some new existence result...

Authors: Yongzhen Yun, Tianqing An and Guoju Ye

Noise-tolerant continuous-time Zhang neural networks for time-varying Sylvester tensor equations

In this paper, to solve the time-varying Sylvester tensor equations (TVSTEs) with noise, we will design three noise-tolerant continuous-time Zhang neural networks (NTCTZNNs), termed NTCTZNN1, NTCTZNN2, NTCTZNN...

Authors: Sun Min and Liu Jing

Stability of delay neural networks with uncertainties via delayed intermittent control

In this paper, we investigate the stability of neural networks with both time-varying delays and uncertainties. A novel delayed intermittent control scheme is designed to ensure the globally asymptotical stabi...

Authors: Yujuan Tian, Fei Wang, Yao Wang and Xiaodi Li

The weak solutions of a doubly nonlinear parabolic equation related to the \(p(x)\)-Laplacian

Authors: Huashui Zhan

Efficient analytical techniques for solving time-fractional nonlinear coupled Jaulent–Miodek system with energy-dependent Schrödinger potential

In this paper, we present analytical-approximate solution to the time-fractional nonlinear coupled Jaulent–Miodek system of equations which comes with an energy-dependent Schrödinger potential by means of a re...

Authors: Mehmet Şenol, Olaniyi S. Iyiola, Hamed Daei Kasmaei and Lanre Akinyemi

On the asymptotic analysis of bounded solutions to nonlinear differential equations of second order

In this paper, we consider two different models of nonlinear ordinary differential equations (ODEs) of second order. We construct two new Lyapunov functions to investigate boundedness of solutions of those non...

Authors: Cemil Tunç and Sizar Abid Mohammed

Oscillation criteria of certain fractional partial differential equations

In this article, we regard the generalized Riccati transformation and Riemann–Liouville fractional derivatives as the principal instrument. In the proof, we take advantage of the fractional derivatives techniq...

Authors: Di Xu and Fanwei Meng

Modeling and simulation of air pollutant distribution in street canyon area with Skytrain stations

This paper focuses on effects of the wind flow velocity on the air flow and the air pollution dispersion in a street canyon with Skytrain. The governing equations of air pollutants and air flow in this study a...

Authors: Suranath Chomcheon, Nathnarong Khajohnsaksumeth, Benchawan Wiwatanapataphee and Xiangyu Ge

Dynamical analysis and control strategies in modelling Ebola virus disease

Ebola virus disease (EVD) is a severe infection with an extremely high fatality rate spread through direct and indirect contacts. Recently, an outbreak of EVD in West Africa brought public attention to this de...

Authors: A. Mhlanga