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  1. Content type: Research

    A non-autonomous almost periodic prey–predator system with impulsive effects and multiple delays is proposed in this paper, Holling’s type-IV systems and ratio-dependent functional responses are also involved ...

    Authors: Baodan Tian, Pengkai Zhang, Jiamei Li, Yong Zhang and Liu Yang

    Citation: Advances in Difference Equations 2019 2019:395

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  2. Content type: Research

    In this paper, we will state and prove some weighted dynamic inequalities of Opial-type involving integrals of powers of a function and of its derivative on time scales which not only extend some results in th...

    Authors: A. A. El-Deeb, Fatma M. Kh, Gamal A. F. Ismail and Zareen A. Khan

    Citation: Advances in Difference Equations 2019 2019:393

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  3. Content type: Research

    This paper is committed to investigating outer-synchronization of fractional-order neural networks with deviating argument via centralized and decentralized data-sampling approaches. Considering the low cost a...

    Authors: Weike Cheng, Ailong Wu, Jin-E Zhang and Biwen Li

    Citation: Advances in Difference Equations 2019 2019:390

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  4. Content type: Research

    Using the monotone iterative technique, we investigate the existence of iterative positive solutions to a coupled system of fractional differential equations supplemented with multistrip and multipoint mixed b...

    Authors: Xiaodi Zhao, Yuehan Liu and Huihui Pang

    Citation: Advances in Difference Equations 2019 2019:389

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  5. Content type: Research

    In this paper, our purpose is to present a wavelet Galerkin method for solving the time-fractional KdV-Burgers-Kuramoto (KBK) equation, which describes nonlinear physical phenomena and involves instability, di...

    Authors: Aydin Secer and Neslihan Ozdemir

    Citation: Advances in Difference Equations 2019 2019:386

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  6. Content type: Research

    We establish the existence of positive solutions to a class of a singular nonlinear Hadamard-type fractional differential equations with infinite-point boundary conditions (BCs) or integral BCs. Our analysis i...

    Authors: A. M. A. El-Sayed and F. M. Gaafar

    Citation: Advances in Difference Equations 2019 2019:382

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  7. Content type: Research

    The interaction between prey and predator is one of the most fundamental processes in ecology. Discrete-time models are frequently used for describing the dynamics of predator and prey interaction with non-ove...

    Authors: Muhammad Sajjad Shabbir, Qamar Din, Muhammad Safeer, Muhammad Asif Khan and Khalil Ahmad

    Citation: Advances in Difference Equations 2019 2019:381

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  8. Content type: Research

    This research demonstrates the log-convexity and log-concavity of the modified Bessel function of the first kind and the related functions. The method of coefficient is used to verify such properties. One of o...

    Authors: Thanit Nanthanasub, Boriboon Novaprateep and Narongpol Wichailukkana

    Citation: Advances in Difference Equations 2019 2019:379

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  9. Content type: Research

    In this study, we have proposed an efficient numerical algorithm based on third degree modified extended B-spline (EBS) functions for solving time-fractional diffusion wave equation with reaction and damping t...

    Authors: Nauman Khalid, Muhammad Abbas, Muhammad Kashif Iqbal and Dumitru Baleanu

    Citation: Advances in Difference Equations 2019 2019:378

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  10. Content type: Research

    This paper deals with the model of fractional HIV-1 infection of CD4+T cells transformation with homogeneous Neumann boundary conditions. Numerical methods for solving fractional time differential equations are d...

    Authors: Kunwithree Phramrung, Anirut Luadsong and Nitima Aschariyaphotha

    Citation: Advances in Difference Equations 2019 2019:377

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  11. Content type: Research

    Recently, spaces of ideal convergent sequences of bounded linear operators were studied by Khan et al. (Numer. Funct. Anal. Optim. 39:1278-1290, 2018). This has motivated us to propose the intuitionistic fuzzy I-...

    Authors: Vakeel A. Khan, Mobeen Ahmad, Hira Fatima and Mohd Faisal Khan

    Citation: Advances in Difference Equations 2019 2019:375

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  12. Content type: Research

    In this paper, we develop the lower order stabilized finite element methods for the incompressible flow with the slip boundary conditions of friction type whose weak solution satisfies a variational inequality...

    Authors: Jian Li, Haibiao Zheng and Qingsong Zou

    Citation: Advances in Difference Equations 2019 2019:374

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  13. Content type: Research

    In this paper, a prey-predator model with Allee effect and Holling type-I functional response is established, and its dynamical behaviors are studied in detail. The existence, boundedness and stability of the ...

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

    Citation: Advances in Difference Equations 2019 2019:369

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  14. Content type: Research

    The fractional sub-diffusion equation, which is obtained by replacing the time derivative in ordinary diffusion by a fractional derivative of order ϑ with http://static-content.springer.com/image/art%3A10.1186%2Fs13662-019-2302-2/13662_2019_2302_Article_IEq1.gif ...

    Authors: Zhonglian Ma, Mohammad Hossein Heydari, Zakieh Avazzadeh and Carlo Cattani

    Citation: Advances in Difference Equations 2019 2019:367

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  15. Content type: Correction

    After publication of this article [1], it was brought to our attention that the article type should be “Research” rather than “Review”.

    Authors: Kittipong Srikhaetai, Kittisak Chayantrakom and Wattana Kanbua

    Citation: Advances in Difference Equations 2019 2019:366

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    The original article was published in Advances in Difference Equations 2019 2019:214

  16. Content type: Research

    A finite difference scheme based on extended cubic B-spline method for the solution of time fractional telegraph equation is presented and discussed. The Caputo fractional formula is used in the discretization...

    Authors: Tayyaba Akram, Muhammad Abbas, Ahmad Izani Ismail, Norhashidah Hj. M. Ali and Dumitru Baleanu

    Citation: Advances in Difference Equations 2019 2019:365

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  17. Content type: Research

    This paper studies a stochastic predator–prey model for integrated pest management. It shows that the system has a positive solution that exists globally. The long time behavior of the system is investigated, ...

    Authors: Lidong Huang, Xingshu Chen, Xuewen Tan, Xiaochou Chen and Xinzhi Liu

    Citation: Advances in Difference Equations 2019 2019:360

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  18. Content type: Research

    A Lotka–Volterra predator–prey model incorporating predator cannibalism is proposed and studied in this paper. The existence and stability of all possible equilibria of the system are investigated. Our study s...

    Authors: Hang Deng, Fengde Chen, Zhenliang Zhu and Zhong Li

    Citation: Advances in Difference Equations 2019 2019:359

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  19. Content type: Research

    In this paper, we consider the existence and global exponential stability of pseudo almost automorphic solutions to quaternion-valued cellular neural networks with infinitely distributed delays. Unlike most pr...

    Authors: Jianglian Xiang and Yongkun Li

    Citation: Advances in Difference Equations 2019 2019:356

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  20. Content type: Research

    Focusing on delay differential neoclassical growth model in random environments, we introduce the stochastic model to describe the dynamics of the long-run behavior of the economy with a parameter perturbed by...

    Authors: Wentao Wang and Wei Chen

    Citation: Advances in Difference Equations 2019 2019:355

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  21. Content type: Research

    This paper is concerned with almost sure exponential stabilization of neural networks by intermittent control based on delay observations. By the stochastic comparison principle and Itô’s formula, a sufficient...

    Authors: Xiuli He, Lei Liu and Lichao Feng

    Citation: Advances in Difference Equations 2019 2019:353

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  22. Content type: Research

    This paper is to investigate the finite-time synchronization of stochastic Markovian jumping genetic oscillator networks with time-varying delay and Lévy noise. At first, we generalize the finite-time stabilit...

    Authors: Shuo Ma and Yanmei Kang

    Citation: Advances in Difference Equations 2019 2019:352

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  23. Content type: Research

    In this paper, the existence of a positive solution to a boundary value problem of fractional differential equations with the p-Laplacian operator is studied. By applying a monotone iterative method, some existen...

    Authors: Yuansheng Tian, Zhanbing Bai and Sujing Sun

    Citation: Advances in Difference Equations 2019 2019:349

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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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