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  1. Content type: Research

    The main aim of this paper is to give the definitions of Caputo fractional derivative operators and show their use in the special function theory. For this purpose, we introduce new types of incomplete hyperge...

    Authors: Mehmet Ali Özarslan and Ceren Ustaoglu

    Citation: Advances in Difference Equations 2018 2018:209

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  2. Content type: Research

    This paper presents of some new Wirtinger-type integral inequalities by using Bessel functions. We establish one weighted Wirtinger inequality.

    Authors: Tatjana Z. Mirković

    Citation: Advances in Difference Equations 2018 2018:206

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  3. Content type: Research

    Recently, several problems in mathematics, physics, and engineering have been modeled via distributed-order fractional diffusion equations. In this paper, a new class of time distributed-order and space fracti...

    Authors: Huan-Yan Jian, Ting-Zhu Huang, Xi-Le Zhao and Yong-Liang Zhao

    Citation: Advances in Difference Equations 2018 2018:205

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  4. Content type: Research

    In this article, we first establish an existence and uniqueness result for a class of systems of nonlinear operator equations under more general conditions by means of the cone theory and monotone iterative te...

    Authors: Xinqiu Zhang, Lishan Liu, Yonghong Wu and Yumei Zou

    Citation: Advances in Difference Equations 2018 2018:204

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  5. Content type: Research

    In this paper, an HBV epidemic model that incorporates saturating incidence and age-structure in the exposed and infectious classes is proposed. We study the asymptotic smoothness of semi-flow generated by the...

    Authors: Yuji Li, Rui Xu and Jiazhe Lin

    Citation: Advances in Difference Equations 2018 2018:202

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  6. Content type: Research

    The Fibonacci sequence was firstly used in the theory of sequence spaces by Kara and Başarir (Casp. J. Math. Sci. 1(1):43–47, 2012). Afterward, Kara (J. Inequal. Appl. 2013(1):38, 2013) defined the Fibonacci diff...

    Authors: Vakeel A. Khan, Rami K. A. Rababah, Kamal M. A. S. Alshlool, Sameera A. A. Abdullah and Ayaz Ahmad

    Citation: Advances in Difference Equations 2018 2018:199

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  7. Content type: Research

    The objective of this paper is to study the dynamics of the stochastic ratio-dependent predator–prey model with Holling III type functional response and nonlinear harvesting. For the autonomous system, suffici...

    Authors: Guijie Lan, Yingjie Fu, Chunjin Wei and Shuwen Zhang

    Citation: Advances in Difference Equations 2018 2018:198

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  8. Content type: Research

    This paper investigates the design of disturbance attenuating controller for memristive recurrent neural networks (MRNNs) with mixed time-varying delays. By applying the combination of differential inclusions,...

    Authors: Jianying Xiao, Shouming Zhong and Fang Xu

    Citation: Advances in Difference Equations 2018 2018:189

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  9. Content type: Research

    In this paper, we consider a spectrally negative Markov additive risk process. Using the theory of Jordan chain, a compact formula of Parisian ruin probability is given. The formula depends only on the scale m...

    Authors: Xianghua Zhao and Hua Dong

    Citation: Advances in Difference Equations 2018 2018:179

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Page 1 of 110

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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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