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  1. Content type: Research

    This paper deals with the global Mittag-Leffler synchronization of fractional-order memristive neural networks (FMNNs) with time delay. Since the FMNNs are essentially a class of switched systems with irregula...

    Authors: Yingjie Fan, Xia Huang, Zhen Wang, Jianwei Xia and Yuxia Li

    Citation: Advances in Difference Equations 2018 2018:338

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  2. Content type: Research

    In this work we consider an epidemic model that contains four species susceptible, exposed, infected and quarantined. With this model, first we find a feasible region which is invariant and where the solutions...

    Authors: Wanjun Xia, Soumen Kundu and Sarit Maitra

    Citation: Advances in Difference Equations 2018 2018:336

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  3. Content type: Research

    We consider the multidimensional dimensional inhomogeneous Landau–Lifshitz–Gilbert (ILLG) equation and its degenerate case, the Schrödinger map equation. We investigate the special solutions (under large initi...

    Authors: Penghong Zhong, Chao Zhang and Fengong Wu

    Citation: Advances in Difference Equations 2018 2018:335

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  4. Content type: Research

    We have employed a modified form of the F-expansion technique on four nonlinear waves models and obtained numerous exact and soliton wave solutions in a different form. New constructed solutions showed the sig...

    Authors: Asghar Ali, Aly R. Seadawy and Dianchen Lu

    Citation: Advances in Difference Equations 2018 2018:334

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  5. Content type: Research

    In this paper, we consider a modified predator–prey model with Michaelis–Menten-type predator harvesting and diffusion term. We give sufficient conditions to ensure that the coexisting equilibrium is asymptoti...

    Authors: Qiannan Song, Ruizhi Yang, Chunrui Zhang and Leiyu Tang

    Citation: Advances in Difference Equations 2018 2018:329

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  6. Content type: Research

    In this article, we present some existence of weak solutions for a coupled system of implicit fractional differential equations of Hilfer–Hadamard type. Our approach is based on Mönch’s fixed point theorem ass...

    Authors: Saïd Abbas, Mouffak Benchohra, Naima Hamidi and Yong Zhou

    Citation: Advances in Difference Equations 2018 2018:328

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  7. Content type: Research

    In this article, we investigate a class of impulsive Hamiltonian systems with a p-Laplacian operator. By establishing a series of new sufficient conditions, the existence of homoclinic solutions to such type of s...

    Authors: Jian Liu, Lizhao Yan, Fei Xu and Mingyong Lai

    Citation: Advances in Difference Equations 2018 2018:326

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  8. Content type: Research

    In this paper, a kind of fractional-order predator–prey (FOPP) model with a constant prey refuge and feedback control is considered. By analyzing characteristic equations, we carry out detailed discussion with...

    Authors: Hong-Li Li, Ahmadjan Muhammadhaji, Long Zhang and Zhidong Teng

    Citation: Advances in Difference Equations 2018 2018:325

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  9. Content type: Research

    In this paper, we propose a host–vector–predator model with stage structure for the vector to explore the impact of biological control agents on host–vector dynamics and disease control. Here the total vector ...

    Authors: Fengyan Zhou, Chengrong Ma, Hongzhen Liang, Binxiang Dai and Hongxing Yao

    Citation: Advances in Difference Equations 2018 2018:324

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  10. Content type: Research

    The discrete inverse Sumudu transform method is designed to solve ordinary differential equations and tested for an algebro-geometric equation. The two new sets of exact analytical and complex solutions are go...

    Authors: Adem Kılıçman and Rathinavel Silambarasan

    Citation: Advances in Difference Equations 2018 2018:323

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  11. Content type: Research

    In this paper, we consider the complex dynamics of a discrete predator–prey system with a strong Allee effect on the prey and a ratio-dependent functional response, which is the discrete version of the continu...

    Authors: Qiquan Fang and Xianyi Li

    Citation: Advances in Difference Equations 2018 2018:320

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  12. Content type: Research

    In this manuscript we investigate the time fractional dispersive long wave equation (DLWE) and its corresponding integer order DLWE. The symmetry properties and reductions are derived. We construct the conserv...

    Authors: Abdullahi Yusuf, Mustafa Inc, Aliyu Isa Aliyu and Dumitru Baleanu

    Citation: Advances in Difference Equations 2018 2018:319

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  13. Content type: Research

    In this paper, a new three-level implicit method is developed to solve linear and non-linear third order dispersive partial differential equations. The presented method is obtained by using exponential quartic...

    Authors: Talat Sultana, Arshad Khan and Pooja Khandelwal

    Citation: Advances in Difference Equations 2018 2018:316

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  14. Content type: Research

    This paper studies the problem of exponential passivity for neutral stochastic neural networks (NSNN) with leakage delay and Markovian jump. The Markovian jump has partially unknown transition probabilities (P...

    Authors: Tao Wu, Jinde Cao, Lianglin Xiong and Bashir Ahmad

    Citation: Advances in Difference Equations 2018 2018:317

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  15. Content type: Research

    This paper investigates a diffusive predator–prey system with modified Leslie–Gower and B–D (Beddington–DeAngelis) schemes. Firstly, we discuss stability analysis of the equilibrium for a corresponding ODE sys...

    Authors: Xiaozhou Feng, Yi Song, Jianxin Liu and Guohui Wang

    Citation: Advances in Difference Equations 2018 2018:314

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  16. Content type: Research

    In this paper, a general hybrid epidemic model with multiple and non-periodic pulses in an environmental period is investigated. The definition and computation for the basic reproductive number

    Authors: Shujing Gao, Yunbo Tu and Jialin Wang

    Citation: Advances in Difference Equations 2018 2018:310

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  17. Content type: Research

    This paper addresses the dynamic output feedback control problem for a class of discrete-time planar switched nonlinear systems with time-varying delays and multiple subsystems. First, the virtual state feedba...

    Authors: Wei Zheng, Hongbin Wang, Hongrui Wang and Zhiming Zhang

    Citation: Advances in Difference Equations 2018 2018:312

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  18. Content type: Research

    This paper presents new results related to the coexistence of function-based hybrid synchronization types between non-identical incommensurate fractional-order systems characterized by different dimensions and or...

    Authors: Adel Ouannas, Giuseppe Grassi, Xiong Wang, Toufik Ziar and Viet-Thanh Pham

    Citation: Advances in Difference Equations 2018 2018:309

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  19. Content type: Research

    This paper studies a system of fractional differential equations with Riemann–Stieltjes integral conditions. The existence and uniqueness of nontrivial solutions to the above system are established under some ...

    Authors: Bingmei Liu, Junling Li, Lishan Liu and Yongqing Wang

    Citation: Advances in Difference Equations 2018 2018:306

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  20. Content type: Research

    In this paper, we define the q-analogue of the generalized linear positive operators introduced by Ibragimov and Gadjiev in 1970. We study some approximation properties of these new operators, and we show that th...

    Authors: Serap Herdem and Ibrahim Büyükyazıcı

    Citation: Advances in Difference Equations 2018 2018:304

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  21. Content type: Research

    In this paper, we introduce two approaches to the generalized synchronized synchronization and the inverse generalized synchronization of fractional discrete-time chaotic systems with non-identical dimensions....

    Authors: Amina-Aicha Khennaoui, Adel Ouannas, Samir Bendoukha, Giuseppe Grassi, Xiong Wang and Viet-Thanh Pham

    Citation: Advances in Difference Equations 2018 2018:303

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  22. Content type: Research

    A two species stage-structured commensalism model is proposed and studied in this paper. Local and global stability property of the boundary equilibrium and the positive equilibrium are investigated, respectiv...

    Authors: Chaoquan Lei

    Citation: Advances in Difference Equations 2018 2018:301

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  23. Content type: Research

    Rossby waves, belonging to the most important waves in the atmosphere and ocean, can affect the energy transfer of the atmosphere and ocean and have significant theoretical meaning and research value. In previ...

    Authors: Mengshuang Tao, Ning Zhang, Dezhi Gao and Hongwei Yang

    Citation: Advances in Difference Equations 2018 2018:300

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  24. Content type: Research

    In this paper, based on gauge transformation of Lax pairs, we construct an N-fold Darboux transformation for the discrete Ragnisco–Tu equation which is a typical member in the Ragnisco–Tu hierarchy. By using the

    Authors: Ning Zhang, Tiecheng Xia and QiuYan Jin

    Citation: Advances in Difference Equations 2018 2018:302

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  25. Content type: Research

    Two new general classes of polynomial sequences called respectively odd and even Lidstone-type polynomials are considered. These classes include classic Lidstone polynomials of first and second kind. Some char...

    Authors: F. A. Costabile, M. I. Gualtieri, A. Napoli and M. Altomare

    Citation: Advances in Difference Equations 2018 2018:299

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  26. Content type: Research

    The computation of the viability kernel provides the guarantee for the security evolution of the systems. In this paper, we focus on the computation of the viability kernel for discrete-time and continuous-tim...

    Authors: Jianfeng Lv and Yan Gao

    Citation: Advances in Difference Equations 2018 2018:297

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  27. Content type: Research

    In this paper, stochastic effect on the spread of the infectious disease with saturated incidence rate and the special transfer from infectious is discussed. The threshold dynamics is explored for the case of ...

    Authors: Yi Song, Anqi Miao, Tongqian Zhang, Xinzeng Wang and Jianxin Liu

    Citation: Advances in Difference Equations 2018 2018:293

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  28. Content type: Research

    In this paper we present some global dynamic scenarios for general competitive maps in the plane. We apply these results to the class of second-order autonomous difference equations whose transition functions ...

    Authors: Elliott Bertrand and M. R. S. Kulenović

    Citation: Advances in Difference Equations 2018 2018:291

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  29. Content type: Research

    We study the results of existence and continuous dependence on neutral impulsive stochastic differential equations with Poisson jumps. We have also created some conditions confirming exponential stability.

    Authors: Anguraj Annamalai, Banupriya Kandasamy, Dumitru Baleanu and Vinodkumar Arumugam

    Citation: Advances in Difference Equations 2018 2018:290

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2018 Journal Metrics

Editors-in-Chief

agarwal_edit Ravi Agarwal, Texas A&M University, Kingsville, United States of America | 

Ravi's SpringerNature Publications

​​​​​​​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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