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  1. 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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  2. 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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  3. 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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  4. Content type: Research

    This paper presents a new guaranteed cost control for exponential stability of a nonlinear system with mixed time-delays in state and feedback control. The considered mixed time-delays are both discrete and di...

    Authors: Nuchira Khongja, Thongchai Botmart, Piyapong Niamsup and Wajaree Weera

    Citation: Advances in Difference Equations 2018 2018:435

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  5. Content type: Research

    In this paper, we prove the existence and uniqueness of the equilibrium solution of the system by using the M-matrix and the topological degree technique and study the boundedness and robustness of dynamics of re...

    Authors: Ruofeng Rao and Shouming Zhong

    Citation: Advances in Difference Equations 2018 2018:434

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  6. Content type: Research

    In this paper, we consider a numerical solution for nonlinear advection–diffusion equation by a backward semi-Lagrangian method. The numerical method is based on the second-order backward differentiation formu...

    Authors: Soyoon Bak, Philsu Kim, Xiangfan Piao and Sunyoung Bu

    Citation: Advances in Difference Equations 2018 2018:432

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  7. Content type: Research

    In this paper, we introduce the concept of complete-closed time scales under translational and non-translational shifts and propose new definitions of special functions arising from dynamic equations on time s...

    Authors: Chao Wang, Ravi P. Agarwal, Donal O’Regan and Gaston M. N’Guérékata

    Citation: Advances in Difference Equations 2018 2018:429

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  8. Content type: Research

    This paper is devoted to an investigation of the multiple positive solutions to a class of infinite-point boundary value problems of nonlinear fractional differential equations coupled with the p-Laplacian ope...

    Authors: Han Wang, Suli Liu and Huilai Li

    Citation: Advances in Difference Equations 2018 2018:425

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  9. Content type: Research

    In this paper, we formulate and study a mathematical model for the dynamics of jigger infestation incorporating public health education using systems of ordinary differential equations and computational simula...

    Authors: Rachel A. Nyang’inja, David N. Angwenyi, Cecilia M. Musyoka and Titus O. Orwa

    Citation: Advances in Difference Equations 2018 2018:426

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  10. Content type: Research

    A three-species cooperative system with time delays and Lévy jumps is proposed in this paper. Firstly, by comparison method and inequality techniques, we discuss the stability in mean and extinction of species...

    Authors: Yuanfu Shao, Yuming Chen and Binxiang Dai

    Citation: Advances in Difference Equations 2018 2018:423

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  11. Content type: Research

    In this paper, we consider an efficient numerical algorithm for solving the two-dimensional fractional cable equation. The stability and convergency of the numerical scheme are rigorously proved by the Fourier...

    Authors: Ming Zhu Li, Li Juan Chen, Qiang Xu and Xiao Hua Ding

    Citation: Advances in Difference Equations 2018 2018:424

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  12. Content type: Research

    This paper studies a class of asymptotically almost periodic recurrent neural networks involving mixed delays. By utilizing differential inequality analysis, some novel assertions are gained to validate the as...

    Authors: Yuehua Yu, Shuhua Gong and Zijun Ning

    Citation: Advances in Difference Equations 2018 2018:417

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  13. Content type: Research

    In this manuscript, we investigate a sort of fractional neutral integro-differential equations with impulsive outcomes and extend the formula of general solutions for the impulsive fractional neutral integro-d...

    Authors: Palaniyappan Kalamani, Dumitru Baleanu and Mani Mallika Arjunan

    Citation: Advances in Difference Equations 2018 2018:416

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  14. Content type: Research

    In this paper, we derive the compositions of the fractional derivatives with the Shukla function, a four-parameter Mittag-Leffler function. We investigate and compare the difference between the Riemann–Liouvil...

    Authors: Denghao Pang, Wei Jiang and Azmat U. K. Niazi

    Citation: Advances in Difference Equations 2018 2018:415

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  15. Content type: Research

    In this paper, we study the periodic boundary value problems for the coupled systems of fractional implicit differential equations. Basing on the coincidence degree theory, we establish the existence and uniqu...

    Authors: Wei Zhang, Wenbin Liu and Tingting Xue

    Citation: Advances in Difference Equations 2018 2018:413

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  16. Content type: Research

    Hadamard fractional derivatives are nonlocal fractional derivatives with singular logarithmic kernel with memory, and hence they are suitable to describe complex systems. In this paper, sufficient conditions a...

    Authors: Bahaaeldin Abdalla and Thabet Abdeljawad

    Citation: Advances in Difference Equations 2018 2018:409

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  17. Content type: Research

    This paper studies the robust adaptive control of fractional-order chaotic systems with system uncertainties and bounded external disturbances. Based on a proposed lemma, quadratic Lyapunov functions are used ...

    Authors: Shaoyu Zhang, Heng Liu and Shenggang Li

    Citation: Advances in Difference Equations 2018 2018:412

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  18. Content type: Research

    In this paper, starting from a fixed δ-sequence, we use the generalized Taylor’s formula based on conformable derivatives and the neutrix limit to find the powers of the Dirac delta function ...

    Authors: Fahd Jarad, Yassine Adjabi, Dumitru Baleanu and Thabet Abdeljawad

    Citation: Advances in Difference Equations 2018 2018:407

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  19. Content type: Research

    In this paper, we mainly discuss the existence and uniqueness results of solutions to fractional differential equations with multi-strip boundary conditions. When the fractional order α becomes integer, the exist...

    Authors: Chaoqun Gao, Zihan Gao and Huihui Pang

    Citation: Advances in Difference Equations 2018 2018:408

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  20. Content type: Research

    In this paper, we study a discrete predator–prey system with modified Holling–Tanner functional response. We derive conditions of existence for flip bifurcations and Hopf bifurcations by using the center manif...

    Authors: Jianglin Zhao and Yong Yan

    Citation: Advances in Difference Equations 2018 2018:402

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  21. Content type: Research

    This paper is devoted to study the permanence and periodic solution of a competitive system with infinite delay, feedback control, and the Allee effect. We derive sufficient conditions for the permanence and e...

    Authors: Lei Shi, Hua Liu, Yumei Wei, Ming Ma and Jianhua Ye

    Citation: Advances in Difference Equations 2018 2018:400

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  22. Content type: Research

    We study evolution inclusions given by multivalued perturbations of m-dissipative operators with nonlocal initial conditions. We prove the existence of solutions. The commonly used Lipschitz hypothesis for the...

    Authors: Shamas Bilal, Ovidiu Cârjă, Tzanko Donchev, Nasir Javaid and Alina I. Lazu

    Citation: Advances in Difference Equations 2018 2018:399

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  23. Content type: Correction

    In the publication of this article [1], there is an error in one of the authors’ name. This has now been included in this correction.

    Authors: Rongpei Zhang, Zhen Wang, Jia Liu and Luoman Liu

    Citation: Advances in Difference Equations 2018 2018:398

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    The original article was published in Advances in Difference Equations 2018 2018:274

  24. Content type: Research

    In this paper we study random non-autonomous second order linear differential equations by taking advantage of the powerful theory of random difference equations. The coefficients are assumed to be stochastic ...

    Authors: J. Calatayud, J.-C. Cortés, M. Jornet and L. Villafuerte

    Citation: Advances in Difference Equations 2018 2018:392

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  25. Content type: Research

    In this paper, we study a new boundary value problem of arbitrary order fractional differential equations equipped with new integro-multipoint boundary conditions. Existence and uniqueness results for the give...

    Authors: Sara Salem, Ahmed Alsaedi, Bashir Ahmad and Maryem Al-Yami

    Citation: Advances in Difference Equations 2018 2018:395

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  26. Content type: Research

    In this research article, we focus on the system of linear Volterra fuzzy integro-differential equations and we propose a numerical scheme using the variational iteration method (VIM) to get a successive appro...

    Authors: S. Narayanamoorthy and S. Mathankumar

    Citation: Advances in Difference Equations 2018 2018:394

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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

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