Articles

The study of a mixed problem for one class of third order differential equations

This work is dedicated to the study of existence and uniqueness of almost everywhere solution of a multidimensional mixed problem for one class of third order differential equations with nonlinear operator on ...

Authors: Samed J. Aliyev, Arzu G. Aliyeva and Goncha Z. Abdullayeva

Incomplete Caputo fractional derivative operators

The main aim of this paper is to give the definitions of Caputo fractional derivative operators and show their use in the special function theory. For this purpose, we introduce new types of incomplete hyperge...

Authors: Mehmet Ali Özarslan and Ceren Ustaoglu

Monotonicity results for h-discrete fractional operators and application

Authors: Iyad Suwan, Shahd Owies and Thabet Abdeljawad

Wirtinger inequality using Bessel functions

This paper presents of some new Wirtinger-type integral inequalities by using Bessel functions. We establish one weighted Wirtinger inequality.

Authors: Tatjana Z. Mirković

A fast implicit difference scheme for a new class of time distributed-order and space fractional diffusion equations with variable coefficients

Recently, several problems in mathematics, physics, and engineering have been modeled via distributed-order fractional diffusion equations. In this paper, a new class of time distributed-order and space fracti...

Authors: Huan-Yan Jian, Ting-Zhu Huang, Xi-Le Zhao and Yong-Liang Zhao

Existence and uniqueness of solutions for systems of fractional differential equations with Riemann–Stieltjes integral boundary condition

In this article, we first establish an existence and uniqueness result for a class of systems of nonlinear operator equations under more general conditions by means of the cone theory and monotone iterative te...

Authors: Xinqiu Zhang, Lishan Liu, Yonghong Wu and Yumei Zou

The stability analysis of an epidemic model with saturating incidence and age-structure in the exposed and infectious classes

In this paper, an HBV epidemic model that incorporates saturating incidence and age-structure in the exposed and infectious classes is proposed. We study the asymptotic smoothness of semi-flow generated by the...

Authors: Yuji Li, Rui Xu and Jiazhe Lin

On multiplicity of solutions to nonlinear partial difference equations with delay

In this paper, we present an existence criterion for multiple positive solutions of nonlinear neutral delay partial difference equations. Such equations can be regarded as a discrete analog of neutral delay pa...

Authors: Yong Zhou, Bashir Ahmad, Yanyun Zhao and Ahmed Alsaedi

Some results on entire functions that share one value with their difference operators

In this paper, we give some results on entire functions that share one value with their difference operators. In particular, we prove the following result, which can be regarded as a difference analogue of a r...

Authors: BaoQin Chen, Sheng Li and Fujie Chai

Existence and asymptotic of traveling wave fronts for the delayed Volterra-type cooperative system with spatial diffusion

In the paper, we are concerned with the existence and the exponential asymptotic behavior of traveling waves for the delayed Volterra-type cooperative system with nonquasimonotone condition

Authors: Yanling Meng, Weiguo Zhang and Zhixian Yu

On ideal convergence Fibonacci difference sequence spaces

The Fibonacci sequence was firstly used in the theory of sequence spaces by Kara and Başarir (Casp. J. Math. Sci. 1(1):43–47, 2012). Afterward, Kara (J. Inequal. Appl. 2013(1):38, 2013) defined the Fibonacci diff...

Authors: Vakeel A. Khan, Rami K. A. Rababah, Kamal M. A. S. Alshlool, Sameera A. A. Abdullah and Ayaz Ahmad

Dynamical analysis of a ratio-dependent predator–prey model with Holling III type functional response and nonlinear harvesting in a random environment

The objective of this paper is to study the dynamics of the stochastic ratio-dependent predator–prey model with Holling III type functional response and nonlinear harvesting. For the autonomous system, suffici...

Authors: Guijie Lan, Yingjie Fu, Chunjin Wei and Shuwen Zhang

Weak order in averaging principle for stochastic differential equations with jumps

In this paper, we deal with the averaging principle for a two-time-scale system of jump-diffusion stochastic differential equations. Under suitable conditions, we expand the weak error in powers of timescale p...

Authors: Bengong Zhang, Hongbo Fu, Li Wan and Jicheng Liu

A fractional Fourier integral operator and its extension to classes of function spaces

In this paper, an attempt is being made to investigate a class of fractional Fourier integral operators on classes of function spaces known as ultraBoehmians. We introduce a convolution product and establish a...

Authors: Shrideh K. Al-Omari

Meromorphic functions that share a polynomial with their difference operators

In this paper, we prove the following result: Let f be a nonconstant meromorphic function of finite order, p be a nonconstant polynomial, and c be a nonzero constant. If f, ...

Authors: Bingmao Deng, Dan Liu, Yongyi Gu and Mingliang Fang

Allee effect increasing the final density of the species subject to the Allee effect in a Lotka–Volterra commensal symbiosis model

A Lotka–Volterra commensal symbiosis model with first species subject to the Allee effect is proposed and studied in this paper. Local and global stability property of the equilibria are investigated. An amazi...

Authors: Qifa Lin

Oscillation results for a fractional order dynamic equation on time scales with conformable fractional derivative

In this paper, we investigate oscillatory and asymptotic properties for a class of fractional order dynamic equations on time scales, where the fractional derivative is defined in the sense of the conformable ...

Authors: Qinghua Feng and Fanwei Meng

New results on positive almost periodic solutions for first-order neutral differential equations

In this paper, a class of first-order neutral differential equations with time-varying delays and coefficients is considered. Some results on the existence of positive almost periodic solutions for the equatio...

Authors: Yuehua Yu and Shuhua Gong

Adaptive neural network synchronization for uncertain strick-feedback chaotic systems subject to dead-zone input

In this paper, an adaptive neural network (NN) synchronization controller is designed for two identical strict-feedback chaotic systems (SFCSs) subject to dead-zone input. The dead-zone models together with th...

Authors: Guanjun Li

Existence and attractivity of solutions for fractional difference equations

In this paper, we study a kind of difference equations with Riemann–Liouville-like fractional difference. The results on existence and attractivity are obtained by using the Picard iteration method and Schaude...

Authors: Lu Zhang and Yong Zhou

Design disturbance attenuating controller for memristive recurrent neural networks with mixed time-varying delays

This paper investigates the design of disturbance attenuating controller for memristive recurrent neural networks (MRNNs) with mixed time-varying delays. By applying the combination of differential inclusions,...

Authors: Jianying Xiao, Shouming Zhong and Fang Xu

Dynamic behaviors of a nonlinear amensalism model

Authors: Runxin Wu

Stability analysis of a single species logistic model with Allee effect and feedback control

Authors: Qifa Lin

Parisian ruin probability for Markov additive risk processes

In this paper, we consider a spectrally negative Markov additive risk process. Using the theory of Jordan chain, a compact formula of Parisian ruin probability is given. The formula depends only on the scale m...

Authors: Xianghua Zhao and Hua Dong

Positive solutions of fractional differential equations involving the Riemann–Stieltjes integral boundary condition

In this article, the following boundary value problem of fractional differential equation with Riemann–Stieltjes integral boundary condition

Authors: Qilin Song and Zhanbing Bai