Skip to content

Advertisement

Articles

Page 2 of 62

  1. Content type: Research

    The class of quasi-convex functions contain all those finite convex functions which are defined on finite closed intervals of real line. The aim of this paper is to establish the bounds of the sum of left and ...

    Authors: S. Ullah, G. Farid, K. A. Khan, A. Waheed and S. Mehmood

    Citation: Advances in Difference Equations 2019 2019:15

    Published on:

  2. Content type: Research

    This paper investigates a class of nonlinear dynamic integral inequalities with mixed nonlinearities in two independent variables. The obtained results can be utilized to study the boundedness of partial dynam...

    Authors: Min Fan, Yazhou Tian and Fanwei Meng

    Citation: Advances in Difference Equations 2019 2019:12

    Published on:

  3. 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

    Published on:

  4. 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

    Published on:

  5. 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

    Published on:

  6. 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

    Published on:

  7. 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

    Published on:

  8. 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

    Published on:

  9. 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

    Published on:

  10. 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

    Published on:

  11. 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

    Published on:

  12. 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

    Published on:

  13. 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

    Published on:

  14. 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

    Published on:

  15. 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

    Published on:

  16. 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

    Published on:

  17. 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

    Published on:

  18. 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

    Published on:

  19. 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

    Published on:

  20. 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

    Published on:

  21. 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

    Published on:

  22. 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

    Published on:

  23. 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

    Published on:

  24. 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

    Published on:

2018 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

Advertisement