Articles

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

Boundary linear stabilization of the modified generalized Korteweg–de Vries–Burgers equation

The linear stabilization problem of the modified generalized Korteweg–de Vries–Burgers equation (MGKdVB) is considered when the spatial variable lies in

Authors: Nejib Smaoui, Boumediène Chentouf and Ala’ Alalabi

Synchronization of bidirectional N-coupled fractional-order chaotic systems with ring connection based on antisymmetric structure

This paper discusses the synchronization problem of N-coupled fractional-order chaotic systems with ring connection via bidirectional coupling. On the basis of the direct design method, we design the appropriate ...

Authors: Cuimei Jiang, Akbar Zada, M. Tamer Şenel and Tongxing Li

A fourth-order linearized difference scheme for the coupled space fractional Ginzburg–Landau equation

In this paper, the coupled space fractional Ginzburg–Landau equations are investigated numerically. A linearized semi-implicit difference scheme is proposed. The scheme is unconditionally stable, fourth-order ...

Authors: Yuan Xu, Jiali Zeng and Shuanggui Hu

Certain inequalities via generalized proportional Hadamard fractional integral operators

In the article, we introduce the generalized proportional Hadamard fractional integrals and establish several inequalities for convex functions in the framework of the defined class of fractional integrals. Th...

Authors: Gauhar Rahman, Thabet Abdeljawad, Fahd Jarad, Aftab Khan and Kottakkaran Sooppy Nisar

Fixed points of differences of meromorphic functions

Authors: Zhaojun Wu and Jia Wu

A fast numerical method for fractional partial differential equations

In this paper, we use operational matrices of Chebyshev polynomials to solve fractional partial differential equations (FPDEs). We approximate the second partial derivative of the solution of linear FPDEs by o...

Authors: S. Mockary, E. Babolian and A. R. Vahidi

Exact dynamical behavior for a dual Kaup–Boussinesq system by symmetry reduction and coupled trial equations method

We propose a coupled trial equation method for a coupled differential equations system. Furthermore, according to the invariant property under the translation, we give the symmetry reduction of a dual Kaup–Bou...

Authors: Wen-He Li and Yong Wang

Nontrivial solutions of inverse discrete problems with sign-changing nonlinearities

This paper is concerned with the existence of solutions of an inverse discrete problem with sign-changing nonlinearity. This kind of problems includes, as a particular case, nth order difference equations coupled...

Authors: Alberto Cabada and Nikolay D. Dimitrov

Modelling and nonlinear boundary stabilization of the modified generalized Korteweg–de Vries–Burgers equation

In this paper, we study the modelling and nonlinear boundary stabilization problem of the modified generalized Korteweg–de Vries–Burgers equation (MGKdVB) when the spatial domain is ...

Authors: N. Smaoui, B. Chentouf and A. Alalabi

Stochastic P-bifurcation in a bistable Van der Pol oscillator with fractional time-delay feedback under Gaussian white noise excitation

The stochastic P-bifurcation behavior of a bistable Van der Pol system with fractional time-delay feedback under Gaussian white noise excitation is studied. Firstly, based on the minimal mean square error prin...

Authors: Yajie Li, Zhiqiang Wu, Guoqi Zhang, Feng Wang and Yuancen Wang

Stability of traveling wavefronts for a 2D lattice dynamical system arising in a diffusive population model

This paper is concerned with the traveling wavefronts of a 2D two-component lattice dynamical system. This problem arises in the modeling of a species with mobile and stationary subpopulations in an environmen...

Authors: Haiqin Zhao

Optical soliton solutions to the \((2+1)\)-dimensional Chaffee–Infante equation and the dimensionless form of the Zakharov equation

Authors: M. Ali Akbar, Norhashidah Hj. Mohd. Ali and Jobayer Hussain

Conservation laws, analytical solutions and stability analysis for the time-fractional Schamel–Zakharov–Kuznetsov–Burgers equation

Authors: O. H. EL-Kalaawy, S. M. Moawad, M. M. Tharwat and Rasha B. Al-Denari

Stability analysis of discrete-time multi-patch Beddington–DeAngelis type predator-prey model with time-varying delay

This paper is concerned with the stability of a discrete-time multi-patch Beddington–DeAngelis type predator-prey model with time-varying delay, where the dispersal of both predators and prey is considered. A ...

Authors: Jiqiang Feng and Zhiqiang Zhao

Solitons for the modified \((2 + 1)\)-dimensional Konopelchenko–Dubrovsky equations

Authors: Xiumei Lyu and Wei Gu

Hopf bifurcation of a delayed worm model with two latent periods

We investigate a delayed epidemic model for the propagation of worm in wireless sensor network with two latent periods. We derive sufficient conditions for local stability of the worm-induced equilibrium of th...

Authors: Juan Liu and Zizhen Zhang

Existence and stability results for multi-time scale stochastic fractional neural networks

We apply the tools of functional analysis to investigate the existence and uniqueness of solutions for multi-scale stochastic fractional neutral networks. By constructing a descent Lyapunov functional, the asy...

Authors: Dehua Wang, Xiao-Li Ding and Bashir Ahmad

Entire solutions for a delayed lattice competitive system

In this paper, we investigate the existence of entire solutions for a delayed lattice competitive system. Here the entire solutions are the solutions that exist for all ...

Authors: Rui Yan, Yang Wang and Meiping Yao

On applications of Caputo k-fractional derivatives

This research explores Caputo k-fractional integral inequalities for functions whose nth order derivatives are absolutely continuous and possess Grüss type variable bounds. Using Chebyshev inequality (Waheed et a...

Authors: Ghulam Farid, Naveed Latif, Matloob Anwar, Ali Imran, Muhammad Ozair and Madeeha Nawaz

A segmented Adomian algorithm for the boundary value problem of a second-order partial differential equation on a plane triangle area

For the boundary value problem (BVP) of a second-order partial differential equation on a plane triangle area, we propose a new algorithm based on the Adomian decomposition method (ADM) combined with a segment...

Authors: Yin-shan Yun, Ying Wen, Temuer Chaolu and Randolph Rach

Further results on the asymptotic stability of Riemann–Liouville fractional neutral systems with variable delays

In this paper, the investigation of the asymptotic stability of Riemann–Liouville fractional neutral systems with variable delays has been presented. The advantage of the Lyapunov functional was used to achiev...

Authors: Yener Altun

Stability analysis of a nonlinear coupled implicit switched singular fractional differential system with p-Laplacian

This paper deals with existence, uniqueness, and Hyers–Ulam stability of solutions to a nonlinear coupled implicit switched singular fractional differential system involving Laplace operator ...

Authors: Manzoor Ahmad, Akbar Zada and Jehad Alzabut

Some symmetries, similarity solutions and various conservation laws of a type of dispersive water waves

We investigate the point symmetries, Lie–Bäcklund symmetries for a type of dispersive water waves. We obtain some Lie transformation groups, various group-invariant solutions, and some similarity solutions. Be...

Authors: Yufeng Zhang, Na Bai and Hongyang Guan

Numerical treatment of stochastic heroin epidemic model

We have presented the numerical analysis of a stochastic heroin epidemic model in this paper. The mean of stochastic heroin model is itself a deterministic solution. The effect of reproduction number has also ...

Authors: M. Rafiq, Ali Raza, M. Usman Iqbal, Zubair Butt, Hafiza Anum Naseem, M. Ali Akram, M. Kamran Butt, Adil Khaliq, Qurat-ul-Ain and Shamrash Azam

Stationary distribution of a stochastic SIRD epidemic model of Ebola with double saturated incidence rates and vaccination

In this paper, a stochastic SIRD model of Ebola with double saturated incidence rates and vaccination is considered. Firstly, the existence and uniqueness of a global positive solution are obtained. Secondly, ...

Authors: Panpan Wang and Jianwen Jia

Modeling the spread of porcine reproductive and respiratory syndrome virus (PRRSV) in a swine population: transmission dynamics, immunity information, and optimal control strategies

Porcine reproductive and respiratory syndrome (PRRS) is an important swine disease that affects many swine industries worldwide. The disease can cause reproductive failure and respiratory problems in a swine p...

Authors: Phithakdet Phoo-ngurn, Chanakarn Kiataramkul and Farida Chamchod

Some representations of the general solution to a difference equation of additive type

Authors: Stevo Stević

Levinson type inequalities for higher order convex functions via Abel–Gontscharoff interpolation

In this paper, Levinson type inequalities are studied for the class of higher order convex functions by using Abel–Gontscharoff interpolation. Cebyšev, Grüss, and Ostrowski-type new bounds are also found for t...

Authors: Muhammad Adeel, Khuram Ali Khan, Ðilda Pečarić and Josip Pečarić

The Euler scheme for stochastic differential equations with discontinuous drift coefficient: a numerical study of the convergence rate

The Euler scheme is one of the standard schemes to obtain numerical approximations of solutions of stochastic differential equations (SDEs). Its convergence properties are well known in the case of globally Li...

Authors: S. Göttlich, K. Lux and A. Neuenkirch

An analytical approach to obtain exact solutions of some space-time conformable fractional differential equations

In this paper, the sine-Gordon expansion method is used to obtain analytical solutions of the conformable space-time generalized reaction Duffing model and conformable space-time Eckhaus equation with the aid ...

Authors: Nematollah Kadkhoda and Hossein Jafari