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  1. Content type: Research

    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

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  2. Content type: Research

    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

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  3. Content type: Research

    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

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  4. Content type: Research

    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

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  5. Content type: Research

    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

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  6. Content type: Research

    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

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  7. Content type: Research

    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

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  8. Content type: Research

    In this paper, we study an inverse source problem for the Rayleigh–Stokes problem for a generalized second-grade fluid with a fractional derivative model. The problem is severely ill-posed in the sense of Hada...

    Authors: Tran Thanh Binh, Hemant Kumar Nashine, Le Dinh Long, Nguyen Hoang Luc and Can Nguyen

    Citation: Advances in Difference Equations 2019 2019:331

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  9. Content type: Research

    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

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  10. Content type: Review

    We consider analytic and formal solutions of certain family of q-difference-differential equations under the action of a complex perturbation parameter. The previous study (Lastra and Malek in Adv. Differ. Equ. 2...

    Authors: Thomas Dreyfus, Alberto Lastra and Stéphane Malek

    Citation: Advances in Difference Equations 2019 2019:326

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  11. Content type: Research

    A new class of 2m-point non-stationary subdivision schemes (SSs) is presented, including some of their important properties, such as continuity, curvature, torsion monotonicity, and convexity preservation. The mu...

    Authors: Abdul Ghaffar, Zafar Ullah, Mehwish Bari, Kottakkaran Sooppy Nisar, Maysaa M. Al-Qurashi and Dumitru Baleanu

    Citation: Advances in Difference Equations 2019 2019:325

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  12. Content type: Research

    In this paper, the dynamics of a discrete market share attraction model are investigated. It shows that the system can undergo flip bifurcation and chaos. The stability and bifurcation of a market share attrac...

    Authors: Xiuqin Yang, Feng Liu, Qingyi Wang and Hua O. Wang

    Citation: Advances in Difference Equations 2019 2019:324

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  13. Content type: Research

    This paper mainly focuses on solitary waves excited by topography with time-dependent variable coefficient. By making use of multiple scale expansion and multiple level approximation method, a variable coeffic...

    Authors: Juanjuan Ji, Lanfang Zhang, Longxue Wang, Shengping Wu and Lihua Zhang

    Citation: Advances in Difference Equations 2019 2019:320

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  14. Content type: Research

    In this paper, we consider the initial-boundary value problem of the one-dimensional compressible viscous and heat-conductive Navier–Stokes equations with a reacting mixture. This model is used to describe the...

    Authors: Mingyu Zhang

    Citation: Advances in Difference Equations 2019 2019:319

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  15. Content type: Research

    This paper proposes a delayed fractional-order model of glucose–insulin interaction in the sense of the Caputo fractional derivative with incommensurate orders. This fractional-order model is developed from th...

    Authors: Natchapon Lekdee, Sekson Sirisubtawee and Sanoe Koonprasert

    Citation: Advances in Difference Equations 2019 2019:318

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  16. Content type: Research

    A discrete monotone iterative method is reported here to solve a space-fractional nonlinear diffusion–reaction equation. More precisely, we propose a Crank–Nicolson discretization of a reaction–diffusion syste...

    Authors: Salvador Flores, Jorge E. Macías-Díaz and Ahmed S. Hendy

    Citation: Advances in Difference Equations 2019 2019:317

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  17. Content type: Research

    In this paper, we aim to obtain the existence of at least three classical solutions for nonlinear impulsive problems neither adding superlinear or local sublinear conditions to nonlinear term at zero nor addin...

    Authors: Jian Liu, Zengqin Zhao, Wenguang Yu and Tongqian Zhang

    Citation: Advances in Difference Equations 2019 2019:316

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  18. Content type: Research

    In the paper, some variants of Montgomery identity with the help of delta and nabla integrals are established which are useful to produce Montgomery identity involving alpha diamond integrals for function of t...

    Authors: Masud Ahmad, Khalid Mahmood Awan, Shehzad Hameed, Khuram Ali Khan and Ammara Nosheen

    Citation: Advances in Difference Equations 2019 2019:314

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  19. Content type: Research

    In this paper, we study n-variable mappings that are quartic in each variable. We show that the conditions defining such mappings can be unified in a single functional equation. Furthermore, we apply an alternati...

    Authors: Abasalt Bodaghi, Choonkil Park and Oluwatosin T. Mewomo

    Citation: Advances in Difference Equations 2019 2019:312

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  20. Content type: Research

    In this paper, we investigate some new nonlinear dynamic integral inequalities containing integration on infinite interval on time scales, which provide explicit bounds on unknown functions. Our results not on...

    Authors: Haidong Liu, Cuiyuan Li and Feichao Shen

    Citation: Advances in Difference Equations 2019 2019:311

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  21. Content type: Research

    In this paper, we obtain necessary and sufficient conditions for oscillation of a fourth order dynamic equation on time scales with deviating arguments. We discuss the oscillation behavior of solutions for str...

    Authors: Yong Zhou, Jia Wei He, Bashir Ahmad and Ahmed Alsaedi

    Citation: Advances in Difference Equations 2019 2019:308

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  22. Content type: Research

    Since bifurcation makes it difficult to manage a paddy ecosystem, controlling bifurcation is an important management tool. In this paper, the stability and bifurcation control for a fractional order paddy ecos...

    Authors: Kun Zheng, Xiaoli Zhou, Zhaohua Wu, Zhiming Wang and Tiejun Zhou

    Citation: Advances in Difference Equations 2019 2019:307

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  23. Content type: Research

    One of the important mechanisms of the oil weathering processes (OWP) is spreading of oil spills. This mechanism is the horizontal expansion of the oil slick with inertia-gravity, gravity-viscosity, and viscou...

    Authors: Polapat Khlongkhoi, Kittisak Chayantrakom and Wattana Kanbua

    Citation: Advances in Difference Equations 2019 2019:306

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  24. Content type: Research

    This paper presents the development of a new iterative method for solving the two-dimensional hyperbolic telegraph fractional differential equation (2D-HTFDE) which is central to the mathematical modeling of t...

    Authors: Ajmal Ali and Norhashidah Hj. Mohd. Ali

    Citation: Advances in Difference Equations 2019 2019:303

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  25. Content type: Research

    Some similarity solutions of the time-fractional stationary transonic plane-parallel gas flows (STPPGF) and their generalized space-fractional nonlinear system are obtained by using scalar similarity transform...

    Authors: Yufeng Zhang, Chao Yue and Xiangzhi Zhang

    Citation: Advances in Difference Equations 2019 2019:302

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  26. Content type: Research

    A leader-following consensus for Caputo fractional multi-agent systems with nonlinear intrinsic dynamics is investigated. The second Lyapunov method is used to design a control protocol ensuring a consensus fo...

    Authors: Ricardo Almeida, Ewa Girejko, Snezhana Hristova and Agnieszka B. Malinowska

    Citation: Advances in Difference Equations 2019 2019:301

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  27. Content type: Research

    This paper considers a non-autonomous modified Leslie–Gower model with Holling type IV functional response and nonlinear prey harvesting. The permanence of the model is obtained, and sufficient conditions for ...

    Authors: Jie Song, Yonghui Xia, Yuzhen Bai, Yaoxiong Cai and D. O’Regan

    Citation: Advances in Difference Equations 2019 2019:299

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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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