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  1. 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

    Content type: Research

    Published on:

  2. 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

    Content type: Research

    Published on:

  3. 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

    Content type: Research

    Published on:

  4. 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

    Content type: Research

    Published on:

  5. 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

    Content type: Research

    Published on:

  6. 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

    Content type: Correction

    Published on:

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

  7. 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

    Content type: Research

    Published on:

  8. 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

    Content type: Research

    Published on:

  9. 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

    Content type: Research

    Published on:

  10. 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

    Content type: Research

    Published on:

  11. 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

    Content type: Research

    Published on:

  12. 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

    Content type: Research

    Published on:

  13. 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

    Content type: Research

    Published on:

  14. In this paper, we study the existence of positive solutions for boundary value problems of high-order conformable differential equations involving the p-Laplacian operator. By applying properties of the Green’s f...

    Authors: Bibo Zhou and Lingling Zhang

    Citation: Advances in Difference Equations 2019 2019:351

    Content type: Research

    Published on:

  15. 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

    Content type: Research

    Published on:

  16. This paper studies the transient slip flow and heat transfer of a fluid driven by the oscillatory pressure gradient in a microchannel of elliptic cross section. The boundary value problem for the thermal-slip ...

    Authors: Benchawan Wiwatanapataphee, Wannika Sawangtong, Nathnarong Khajohnsaksumeth and Yong Hong Wu

    Citation: Advances in Difference Equations 2019 2019:342

    Content type: Research

    Published on:

  17. In this paper, the combination of efficient sixth-order compact finite difference scheme (E-CFDS6) based proper orthogonal decomposition and Strang splitting method (E-CFDS6-SSM) is constructed for the numeric...

    Authors: Baozou Xu and Xiaohua Zhang

    Citation: Advances in Difference Equations 2019 2019:341

    Content type: Research

    Published on:

  18. A new constructive method for the finite-difference solution of the Laplace equation with the integral boundary condition is proposed and justified. In this method, the approximate solution of the given proble...

    Authors: Adiguzel Dosiyev and Rifat Reis

    Citation: Advances in Difference Equations 2019 2019:340

    Content type: Research

    Published on:

  19. This paper addresses exponential basis and compact formulation for solving three-dimensional convection-diffusion-reaction equations that exhibit an accuracy of order three or four depending on exponential exp...

    Authors: Navnit Jha and Bhagat Singh

    Citation: Advances in Difference Equations 2019 2019:339

    Content type: Research

    Published on:

  20. This paper is committed to studying adaptive control design of Mittag-Leffler stabilization and synchronization for delayed fractional-order bidirectional associative memory (BAM) neural networks. Considering ...

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

    Citation: Advances in Difference Equations 2019 2019:337

    Content type: Research

    Published on:

  21. In the paper, we are concerned with the existence of periodic solutions for a coupled Rayleigh system. By combining graph theory with coincidence degree theory as well as Lyapunov function method, two new suff...

    Authors: Zheng Zhou, Huaying Liao and Zhengqiu Zhang

    Citation: Advances in Difference Equations 2019 2019:335

    Content type: Research

    Published on:

  22. In quantum physics, fractional Schrödinger equation is of particular interest in the research of particles on stochastic fields modeled by the Lévy processes, which was derived by extending the Feynman path in...

    Authors: Xiaogang Zhu, Yufeng Nie, Zhanbin Yuan, Jungang Wang and Zongze Yang

    Citation: Advances in Difference Equations 2019 2019:329

    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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