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  1. 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

    Content type: Research

    Published on:

  2. 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

    Content type: Research

    Published on:

  3. 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:

  4. 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

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  5. 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:

  6. 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:

  7. 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:

  8. 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

  9. 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:

  10. 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:

  11. 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:

  12. 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:

  13. 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:

  14. 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:

  15. 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:

  16. 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:

  17. 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:

  18. 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:

  19. 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:

  20. 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:

  21. 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:

  22. 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:

  23. 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:

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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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