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  1. In this paper, we present analytical-approximate solution to the time-fractional nonlinear coupled Jaulent–Miodek system of equations which comes with an energy-dependent Schrödinger potential by means of a re...

    Authors: Mehmet Şenol, Olaniyi S. Iyiola, Hamed Daei Kasmaei and Lanre Akinyemi

    Citation: Advances in Difference Equations 2019 2019:462

    Content type: Research

    Published on:

  2. This paper focuses on effects of the wind flow velocity on the air flow and the air pollution dispersion in a street canyon with Skytrain. The governing equations of air pollutants and air flow in this study a...

    Authors: Suranath Chomcheon, Nathnarong Khajohnsaksumeth, Benchawan Wiwatanapataphee and Xiangyu Ge

    Citation: Advances in Difference Equations 2019 2019:459

    Content type: Research

    Published on:

  3. This paper discusses the synchronization problem of N-coupled fractional-order chaotic systems with ring connection via bidirectional coupling. On the basis of the direct design method, we design the appropriate ...

    Authors: Cuimei Jiang, Akbar Zada, M. Tamer Şenel and Tongxing Li

    Citation: Advances in Difference Equations 2019 2019:456

    Content type: Research

    Published on:

  4. In this paper, the coupled space fractional Ginzburg–Landau equations are investigated numerically. A linearized semi-implicit difference scheme is proposed. The scheme is unconditionally stable, fourth-order ...

    Authors: Yuan Xu, Jiali Zeng and Shuanggui Hu

    Citation: Advances in Difference Equations 2019 2019:455

    Content type: Research

    Published on:

  5. In the article, we introduce the generalized proportional Hadamard fractional integrals and establish several inequalities for convex functions in the framework of the defined class of fractional integrals. Th...

    Authors: Gauhar Rahman, Thabet Abdeljawad, Fahd Jarad, Aftab Khan and Kottakkaran Sooppy Nisar

    Citation: Advances in Difference Equations 2019 2019:454

    Content type: Research

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  6. We propose a coupled trial equation method for a coupled differential equations system. Furthermore, according to the invariant property under the translation, we give the symmetry reduction of a dual Kaup–Bou...

    Authors: Wen-He Li and Yong Wang

    Citation: Advances in Difference Equations 2019 2019:451

    Content type: Research

    Published on:

  7. The stochastic P-bifurcation behavior of a bistable Van der Pol system with fractional time-delay feedback under Gaussian white noise excitation is studied. Firstly, based on the minimal mean square error prin...

    Authors: Yajie Li, Zhiqiang Wu, Guoqi Zhang, Feng Wang and Yuancen Wang

    Citation: Advances in Difference Equations 2019 2019:448

    Content type: Research

    Published on:

  8. This paper is concerned with the stability of a discrete-time multi-patch Beddington–DeAngelis type predator-prey model with time-varying delay, where the dispersal of both predators and prey is considered. A ...

    Authors: Jiqiang Feng and Zhiqiang Zhao

    Citation: Advances in Difference Equations 2019 2019:444

    Content type: Research

    Published on:

  9. This research explores Caputo k-fractional integral inequalities for functions whose nth order derivatives are absolutely continuous and possess Grüss type variable bounds. Using Chebyshev inequality (Waheed et a...

    Authors: Ghulam Farid, Naveed Latif, Matloob Anwar, Ali Imran, Muhammad Ozair and Madeeha Nawaz

    Citation: Advances in Difference Equations 2019 2019:439

    Content type: Research

    Published on:

  10. For the boundary value problem (BVP) of a second-order partial differential equation on a plane triangle area, we propose a new algorithm based on the Adomian decomposition method (ADM) combined with a segment...

    Authors: Yin-shan Yun, Ying Wen, Temuer Chaolu and Randolph Rach

    Citation: Advances in Difference Equations 2019 2019:438

    Content type: Research

    Published on:

  11. This paper deals with existence, uniqueness, and Hyers–Ulam stability of solutions to a nonlinear coupled implicit switched singular fractional differential system involving Laplace operator ...

    Authors: Manzoor Ahmad, Akbar Zada and Jehad Alzabut

    Citation: Advances in Difference Equations 2019 2019:436

    Content type: Research

    Published on:

  12. We investigate the point symmetries, Lie–Bäcklund symmetries for a type of dispersive water waves. We obtain some Lie transformation groups, various group-invariant solutions, and some similarity solutions. Be...

    Authors: Yufeng Zhang, Na Bai and Hongyang Guan

    Citation: Advances in Difference Equations 2019 2019:435

    Content type: Research

    Published on:

  13. We have presented the numerical analysis of a stochastic heroin epidemic model in this paper. The mean of stochastic heroin model is itself a deterministic solution. The effect of reproduction number has also ...

    Authors: M. Rafiq, Ali Raza, M. Usman Iqbal, Zubair Butt, Hafiza Anum Naseem, M. Ali Akram, M. Kamran Butt, Adil Khaliq, Qurat-ul-Ain and Shamrash Azam

    Citation: Advances in Difference Equations 2019 2019:434

    Content type: Research

    Published on:

  14. In this paper, a stochastic SIRD model of Ebola with double saturated incidence rates and vaccination is considered. Firstly, the existence and uniqueness of a global positive solution are obtained. Secondly, ...

    Authors: Panpan Wang and Jianwen Jia

    Citation: Advances in Difference Equations 2019 2019:433

    Content type: Research

    Published on:

  15. Porcine reproductive and respiratory syndrome (PRRS) is an important swine disease that affects many swine industries worldwide. The disease can cause reproductive failure and respiratory problems in a swine p...

    Authors: Phithakdet Phoo-ngurn, Chanakarn Kiataramkul and Farida Chamchod

    Citation: Advances in Difference Equations 2019 2019:432

    Content type: Research

    Published on:

  16. In this paper, Levinson type inequalities are studied for the class of higher order convex functions by using Abel–Gontscharoff interpolation. Cebyšev, Grüss, and Ostrowski-type new bounds are also found for t...

    Authors: Muhammad Adeel, Khuram Ali Khan, Ðilda Pečarić and Josip Pečarić

    Citation: Advances in Difference Equations 2019 2019:430

    Content type: Research

    Published on:

  17. The Euler scheme is one of the standard schemes to obtain numerical approximations of solutions of stochastic differential equations (SDEs). Its convergence properties are well known in the case of globally Li...

    Authors: S. Göttlich, K. Lux and A. Neuenkirch

    Citation: Advances in Difference Equations 2019 2019:429

    Content type: Research

    Published on:

  18. In this paper, the sine-Gordon expansion method is used to obtain analytical solutions of the conformable space-time generalized reaction Duffing model and conformable space-time Eckhaus equation with the aid ...

    Authors: Nematollah Kadkhoda and Hossein Jafari

    Citation: Advances in Difference Equations 2019 2019:428

    Content type: Research

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  19. This article is based on the study on the λ-statistical convergence with respect to the logarithmic density and de la Vallee Poussin mean and generalizes some results of logarithmic λ-statistical convergence and ...

    Authors: Adem Kılıçman, Stuti Borgohain and Mehmet Küçükaslan

    Citation: Advances in Difference Equations 2019 2019:424

    Content type: Research

    Published on:

  20. In this paper, we solve the variable-coefficient fractional diffusion-wave equation in a bounded domain by the Legendre spectral method. The time fractional derivative is in the Caputo sense of order

    Authors: Wenping Chen, Shujuan Lü, Hu Chen and Lihua Jiang

    Citation: Advances in Difference Equations 2019 2019:418

    Content type: Research

    Published on:

  21. The fractional reaction–diffusion equation has profound physical and engineering background, and its rapid solution research is of important scientific significance and engineering application value. In this p...

    Authors: Xiaozhong Yang and Xu Dang

    Citation: Advances in Difference Equations 2019 2019:417

    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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