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  1. Content type: Research

    In this article, we discuss the sufficient conditions for the existence, uniqueness and stability of solutions to a class of nonlinear impulsive boundary value problem of fractional order differential equation...

    Authors: Asma, Arshad Ali, Kamal Shah and Fahd Jarad

    Citation: Advances in Difference Equations 2019 2019:7

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  2. Content type: Research

    In this paper, we offer an approach about the dissipativity of neutral-type memristive neural networks (MNNs) with leakage, additive time, and distributed delays. By applying a suitable Lyapunov–Krasovskii fun...

    Authors: Cuiping Yang, Zuoliang Xiong and Tianqing Yang

    Citation: Advances in Difference Equations 2019 2019:6

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  3. Content type: Research

    In this paper, we derive some sufficient conditions which ensure the existence and uniqueness of a solution for a class of nonlinear three point boundary value problems of fractional order implicit differentia...

    Authors: A. Ali, K. Shah and D. Baleanu

    Citation: Advances in Difference Equations 2019 2019:5

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  4. Content type: Research

    We study almost periodic solutions for a class of nonlinear second-order differential equations involving reflection of the argument. We establish existence results of almost periodic solutions as critical poi...

    Authors: Peiguang Wang, Dhaou Lassoued, Syed Abbas, Akbar Zada and Tongxing Li

    Citation: Advances in Difference Equations 2019 2019:4

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  5. Content type: Research

    In this paper, a predator–prey model with ratio-dependent and impulsive state feedback control is constructed, where the pest growth rate is related to an Allee effect. Firstly, the existence condition of the ...

    Authors: Zhenzhen Shi, Jianmei Wang, Qingjian Li and Huidong Cheng

    Citation: Advances in Difference Equations 2019 2019:2

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  6. Content type: Research

    In this paper, by means of a proper orthogonal decomposition (POD) we mainly reduce the order of the classical Crank–Nicolson finite difference (CCNFD) model for the fractional-order parabolic-type sine-Gordon...

    Authors: Yanjie Zhou and Zhendong Luo

    Citation: Advances in Difference Equations 2019 2019:1

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  7. Content type: Research

    In this paper, studies on the synchronization of fractional-order Takagi–Sugeno (T-S) fuzzy neural networks are performed. By employing a linear matrix inequality and constructing a skillful Lyapunov function,...

    Authors: Bei Zhang, Jinsen Zhuang, Haidong Liu, Jinde Cao and Yonghui Xia

    Citation: Advances in Difference Equations 2018 2018:473

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  8. Content type: Research

    In this article, we propose a new method that determines an efficient numerical procedure for solving second-order fuzzy Volterra integro-differential equations in a Hilbert space. This method illustrates the ...

    Authors: Ghaleb N. Gumah, Mohammad F. M. Naser, Mohammed Al-Smadi and Shrideh K. Al-Omari

    Citation: Advances in Difference Equations 2018 2018:475

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  9. Content type: Research

    This paper develops a Legendre neural network method (LNN) for solving linear and nonlinear ordinary differential equations (ODEs), system of ordinary differential equations (SODEs), as well as classic Emden–F...

    Authors: Yunlei Yang, Muzhou Hou and Jianshu Luo

    Citation: Advances in Difference Equations 2018 2018:469

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  10. Content type: Research

    Fractional derivatives with three parameter generalized Mittag-Leffler kernels and their properties are studied. The corresponding integral operators are obtained with the help of Laplace transforms. The actio...

    Authors: Thabet Abdeljawad and Dumitru Baleanu

    Citation: Advances in Difference Equations 2018 2018:468

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  11. Content type: Research

    This paper concerns the asymptotic behavior of the solution to a class of coupled semilinear parabolic systems with gradient terms. The Fujita-type blow-up theorems are established and the critical Fujita curv...

    Authors: Guanming Gai, Qiang Liu, Yang Na and Mingjun Zhou

    Citation: Advances in Difference Equations 2018 2018:467

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  12. Content type: Research

    The construction of implicit Runge–Kutta–Nyström (RKN) method is considered in this paper. Based on the symmetric, symplectic, and exponentially fitted conditions, a class of implicit RKN integrators is obtain...

    Authors: Huai Yuan Zhai, Wen Juan Zhai and Bing Zhen Chen

    Citation: Advances in Difference Equations 2018 2018:463

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  13. Content type: Research

    In this paper, we present a stabilized lowest equal-order mixed finite element (FE) method for the Oseen viscoelastic fluid flow obeying an Oldroyd-B type constitutive law. To approximate the velocity, pressur...

    Authors: Shahid Hussain, Md. Abdullah Al Mahbub, Nasrin Jahan Nasu and Haibiao Zheng

    Citation: Advances in Difference Equations 2018 2018:461

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  14. Content type: Research

    In this paper, the investment process is modeled by backward stochastic differential equation. We investigate a necessary condition for optimal investment problem by the method of non-smooth analysis. Furtherm...

    Authors: Helin Wu, Yong Ren and Feng Hu

    Citation: Advances in Difference Equations 2018 2018:460

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  15. Content type: Research

    In this paper, we give a generalization of normal curves to n-dimensional Euclidean space. Then we obtain a necessary and sufficient condition for a curve to be a normal curve in the n-dimensional Euclidean space...

    Authors: Özcan Bektaş

    Citation: Advances in Difference Equations 2018 2018:456

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  16. Content type: Research

    This paper is concerned with a class of two-term fractional differential equations. Three-point boundary value problems with mixed Riemann–Liouville fractional differential and integral boundary conditions are...

    Authors: Lei Xu, Qixiang Dong and Gang Li

    Citation: Advances in Difference Equations 2018 2018:458

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  17. Content type: Research

    In this article, by using nonlinear Leray–Schauder-type alternative and Banach’s fixed point theorem, we investigate existence and uniqueness of solutions. We also prove Hyers–Ulam stability for the proposed c...

    Authors: Hasib Khan, Wen Chen, Aziz Khan, Tahir S. Khan and Qasem M. Al-Madlal

    Citation: Advances in Difference Equations 2018 2018:455

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  18. Content type: Research

    In this paper, a dynamic compartmental model is constructed for the transmission of HIV/AIDS receiving drug treatment and knowledge from effective awareness programs through media. Using stability theory of di...

    Authors: Priti Kumar Roy and Shubhankar Saha

    Citation: Advances in Difference Equations 2018 2018:451

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  19. Content type: Research

    In this manuscript, we prove new aspects for several Opial-type integral inequalities for the left and right Caputo–Fabrizio operators with nonsingular kernel. For this purpose we use the inequalities obtained...

    Authors: Yasemin Başcı and Dumitru Baleanu

    Citation: Advances in Difference Equations 2018 2018:452

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  20. Content type: Research

    In this paper, we propose a numerical scheme for a system of two linear singularly perturbed parabolic convection-diffusion equations. The presented numerical scheme consists of a classical backward-Euler sche...

    Authors: Li-Bin Liu, Guangqing Long and Yong Zhang

    Citation: Advances in Difference Equations 2018 2018:450

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  21. Content type: Research

    In this paper, we obtain two approximations in law of the complex fractional Brownian motion by processes constructed from a Poisson process and a Lévy process, respectively.

    Authors: Liheng Sang, Guangjun Shen and Qingbo Wang

    Citation: Advances in Difference Equations 2018 2018:444

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  22. Content type: Research

    A finite difference scheme, based upon the Crank–Nicolson scheme, is applied to the numerical approximation of a two-dimensional time fractional non-Newtonian fluid model. This model not only possesses a multi...

    Authors: Yanqin Liu, Xiuling Yin, Libo Feng and Hongguang Sun

    Citation: Advances in Difference Equations 2018 2018:442

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  23. Content type: Research

    In this paper, we define weak θ-contractions on a metric space into itself by extending θ-contractions introduced by Jleli and Samet (J. Inequal. Appl. 2014:38, 2014) and utilize the same to prove some fixed poin...

    Authors: Mohammad Imdad, Waleed M. Alfaqih and Idrees A. Khan

    Citation: Advances in Difference Equations 2018 2018:439

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  24. Content type: Research

    In this paper, stabilization is studied for a two-dimensional delta operator system with time-varying delays and actuator saturation. Both lower and upper bounds of the time-varying delays are considered. An e...

    Authors: Dan Peng, Ting Zhang and Hongjiu Yang

    Citation: Advances in Difference Equations 2018 2018:437

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  25. Content type: Research

    In this paper, we study the Hopf-zero bifurcation of Oregonator oscillator with delay. The interaction coefficient and time delay are taken as two bifurcation parameters. Firstly, we get the normal form by per...

    Authors: Yuting Cai, Liqin Liu and Chunrui Zhang

    Citation: Advances in Difference Equations 2018 2018:438

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2017 Journal Metrics

Editors-in-Chief

agarwal_edit Ravi Agarwal, Texas A&M University, Kingsville, United States of America | 

Ravi's SpringerNature Publications

​​​​​​​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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