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  1. In this paper, a nonlinear nonautonomous model in a rocky intertidal community is studied. The model is composed of two species in a rocky intertidal community and describes a patch occupancy with global dispe...

    Authors: Hui Zhou, Jehad Alzabut, Shahram Rezapour and Mohammad Esmael Samei

    Citation: Advances in Difference Equations 2020 2020:143

    Content type: Research

    Published on:

  2. In this paper, we establish inequalities of Hermite–Hadamard type for harmonically convex functions using a generalized fractional integral. The results of our paper are an extension of previously obtained res...

    Authors: Dafang Zhao, Muhammad Aamir Ali, Artion Kashuri and Hüseyin Budak

    Citation: Advances in Difference Equations 2020 2020:137

    Content type: Research

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  3. In this paper, we introduce the concept of square-mean piecewise almost automorphic function. By using the theory of semigroups of operators and the contraction mapping principle, the existence of square-mean ...

    Authors: Junwei Liu, Ruihong Ren and Rui Xie

    Citation: Advances in Difference Equations 2020 2020:136

    Content type: Research

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  4. The aim of present paper is to obtain Shannon type inequalities using the extended version of Jensen’s inequality in time scales settings. The concept of differential entropy of a continuous random variable on...

    Authors: Iqrar Ansari, Khuram Ali Khan, Ammara Nosheen, Ðilda Pečarić and Josip Pečarić

    Citation: Advances in Difference Equations 2020 2020:135

    Content type: Research

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  5. The Editors-in-Chief have retracted this article [1] because it significantly overlaps with an article by different authors that was simultaneously under consideration with another journal [2]. In addition, th...

    Authors: Fengjiao Lü and Tanriver Ülker

    Citation: Advances in Difference Equations 2020 2020:131

    Content type: Retraction Note

    Published on:

    The original article was published in Advances in Difference Equations 2017 2017:159

  6. This article is devoted to the study of the attractivity of solutions to a class of stochastic evolution equations involving Hilfer fractional derivative. By employing the semigroup theory, fractional calculus...

    Authors: Min Yang, Ahmed Alsaedi, Bashir Ahmad and Yong Zhou

    Citation: Advances in Difference Equations 2020 2020:130

    Content type: Research

    Published on:

  7. In this paper, we propose a single species logistic model with feedback control and additive Allee effect in the growth of species. The basic aim of the paper is to discuss how the additive Allee effect and fe...

    Authors: Yangyang Lv, Lijuan Chen and Fengde Chen

    Citation: Advances in Difference Equations 2020 2020:129

    Content type: Research

    Published on:

  8. In this paper, we deal with the inverse problem of identifying the unknown source of time-fractional diffusion equation on a columnar symmetric domain. This problem is ill-posed. Firstly, we establish the cond...

    Authors: Fan Yang, Pan Zhang, Xiao-Xiao Li and Xin-Yi Ma

    Citation: Advances in Difference Equations 2020 2020:128

    Content type: Research

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  9. Stochastic differential models provide an additional degree of realism compared to their corresponding deterministic counterparts because of the randomness and stochasticity of real life. In this work, we stud...

    Authors: Fathalla A. Rihan and Hebatallah J. Alsakaji

    Citation: Advances in Difference Equations 2020 2020:124

    Content type: Research

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  10. In our article, a nonlinear density-dependent mortality Nicholson’s blowflies system with patch structure has been investigated, in which the delays are time-varying and multiple pairs. Based upon the fluctuat...

    Authors: Yanli Xu and Qian Cao

    Citation: Advances in Difference Equations 2020 2020:123

    Content type: Research

    Published on:

  11. In this article, a new definition of fractional Hilfer difference operator is introduced. Definition based properties are developed and utilized to construct fixed point operator for fractional order Hilfer di...

    Authors: Syed Sabyel Haider, Mujeeb ur Rehman and Thabet Abdeljawad

    Citation: Advances in Difference Equations 2020 2020:122

    Content type: Research

    Published on:

  12. A finite-time adaptive neural network position tracking control method is considered for the fractional-order chaotic permanent magnet synchronous motor (PMSM) via command filtered backstepping in this paper. ...

    Authors: Senkui Lu, Xingcheng Wang and Longda Wang

    Citation: Advances in Difference Equations 2020 2020:121

    Content type: Research

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  13. In this paper, we show that the invariant subspace method can be successfully utilized to get exact solutions for nonlinear fractional partial differential equations with generalized fractional derivatives. Us...

    Authors: Mohamed S. Abdel Latif, Abass H. Abdel Kader and Dumitru Baleanu

    Citation: Advances in Difference Equations 2020 2020:119

    Content type: Research

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  14. In this paper, we analytically and numerically study the dynamics of a stochastic toxin-producing phytoplankton–fish system with harvesting. Mathematically, we give the existence and stability of the positive ...

    Authors: Tiancai Liao, Chuanjun Dai, Hengguo Yu, Zengling Ma, Qi Wang and Min Zhao

    Citation: Advances in Difference Equations 2020 2020:117

    Content type: Research

    Published on:

  15. In this paper, we study the local and global existence, and uniqueness of mild solution to initial value problems for fractional semilinear evolution equations with compact and noncompact semigroup in Banach s...

    Authors: Apassara Suechoei and Parinya Sa Ngiamsunthorn

    Citation: Advances in Difference Equations 2020 2020:114

    Content type: Research

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  16. There are often many kinds of rumors spreading in new media after emergencies; however, the existing studies have focused on the rumors with competition, and little attention has been paid to those with mutual...

    Authors: Zhiying Wang, Jing Liang, Huifang Nie and Hongli Zhao

    Citation: Advances in Difference Equations 2020 2020:109

    Content type: Research

    Published on:

  17. In this paper, a nonautonomous reaction-diffusion predator-prey model with modified Leslie–Gower Holling-II schemes and a prey refuge is proposed. Applying the comparison theory of differential equation, suffi...

    Authors: Yantao Luo, Long Zhang, Zhidong Teng and Tingting Zheng

    Citation: Advances in Difference Equations 2020 2020:106

    Content type: Research

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  18. In this paper, we investigate a class of nonlinear fractional differential equations with integral boundary condition. By means of Krasnosel’skiĭ fixed point theorem and contraction mapping principle we prove ...

    Authors: Qun Dai, Ruimei Gao, Zhe Li and Changjia Wang

    Citation: Advances in Difference Equations 2020 2020:103

    Content type: Research

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  19. The purpose of this work is to present the quantum Hermite–Hadamard inequality through the Green function approach. While doing this, we deduce some novel quantum identities. Using these identities, we establi...

    Authors: Muhammad Adil Khan, Noor Mohammad, Eze R. Nwaeze and Yu-Ming Chu

    Citation: Advances in Difference Equations 2020 2020:99

    Content type: Research

    Published on:

  20. In this research work, the finite-time synchronization and adaptive finite-time synchronization criterion of graph theory perspective fractional-order coupled discontinuous neural networks (FCDNNs) are investi...

    Authors: A. Pratap, R. Raja, Jinde Cao, J. Alzabut and Chuangxia Huang

    Citation: Advances in Difference Equations 2020 2020:97

    Content type: Research

    Published on:

  21. The main aim of this present paper is to establish fractional conformable inequalities for the weighted and extended Chebyshev functionals. We present some special cases of our main result in terms of the Riem...

    Authors: Asifa Tassaddiq, Gauhar Rahman, Kottakkaran Sooppy Nisar and Muhammad Samraiz

    Citation: Advances in Difference Equations 2020 2020:96

    Content type: Research

    Published on:

  22. This paper investigates the fixed time synchronization issue for a class of quaternion-valued memristor-based neural networks (QVMNN) at the presence of time varying delays. Differential inclusion and fixed ti...

    Authors: Dingyuan Chen, Weiwei Zhang, Jinde Cao and Chuangxia Huang

    Citation: Advances in Difference Equations 2020 2020:92

    Content type: Research

    Published on:

  23. The main purpose of this paper is, using the elementary methods and properties of the power series, to study the computational problem of the convolution sums of Chebyshev polynomials and Fibonacci polynomials...

    Authors: Di Han and Xingxing Lv

    Citation: Advances in Difference Equations 2020 2020:86

    Content type: Research

    Published on:

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Editors-in-Chief

​​​​​​​mbnk_edit Martin Bohner, Missouri University of Science and Technology, United States of America | 

Martin's SpringerNature Publications

Elena_Braverman_image_edit Elena Braverman, University of Calgary Canada | 

Elena's SpringerNature Publications

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