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  1. Content type: Research

    We establish fractional integral and derivative formulas by using fractional calculus operators involving the extended generalized Mathieu series. Next, we develop their composition formulas by applying the in...

    Authors: Gurmej Singh, Praveen Agarwal, Serkan Araci and Mehmet Acikgoz

    Citation: Advances in Difference Equations 2018 2018:144

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  2. Content type: Research

    In this paper, we consider the space-fractional reaction–advection–diffusion equation with fractional diffusion and integer advection terms. By treating the first-order integer derivative as the composition of...

    Authors: Wenping Chen, Shujuan Lü, Hu Chen and Haiyu Liu

    Citation: Advances in Difference Equations 2018 2018:140

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  3. Content type: Research

    To study the finite-time control of plasma glucose for diabetic patients with impulsive injections of insulin, we propose an impulsive differential equation model with initial and boundary conditions. The goal...

    Authors: Shouzong Liu, Mingzhan Huang, Xinyu Song and Xiangyun Shi

    Citation: Advances in Difference Equations 2018 2018:136

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  4. Content type: Research

    There are many natural phenomena including a crisis (such as a spate or contest) which could be described in three steps. We investigate the existence of solutions for a three step crisis integro-differential ...

    Authors: Dumitru Baleanu, Khadijeh Ghafarnezhad, Shahram Rezapour and Mehdi Shabibi

    Citation: Advances in Difference Equations 2018 2018:135

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  5. Content type: Research

    The generalized Caputo fractional derivative is a name attributed to the Caputo version of the generalized fractional derivative introduced in Jarad et al. (J. Nonlinear Sci. Appl. 10:2607–2619, 2017). Depending ...

    Authors: Y. Y. Gambo, R. Ameen, F. Jarad and T. Abdeljawad

    Citation: Advances in Difference Equations 2018 2018:134

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  6. Content type: Research

    The aim of this work is to establish a new fixed point theorem for generalized contraction mappings with respect to w-distances in complete metric spaces. An illustrative example is provided to advocate the usabi...

    Authors: Hassen Aydi, Teerawat Wongyat and Wutiphol Sintunavarat

    Citation: Advances in Difference Equations 2018 2018:132

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  7. Content type: Research

    In this work, an attempt is made to understand the dynamics of a modified Leslie–Gower model with nonlinear harvesting and Holling type-IV functional response. We study the model system using qualitative analy...

    Authors: Zizhen Zhang, Ranjit Kumar Upadhyay and Jyotiska Datta

    Citation: Advances in Difference Equations 2018 2018:127

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  8. Content type: Research

    This paper mainly considers a class of two-layer Gilpin–Ayala predator–prey models with time delays. By means of Mawhin’s continuation theorem of coincidence degree theory, some new sufficient criteria for the...

    Authors: Kaihong Zhao

    Citation: Advances in Difference Equations 2018 2018:129

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  9. Content type: Research

    In this paper, we investigate a class of impulsive fractional differential equations with nonlocal conditions in a Banach space. Firstly, we utilize a fixed point theorem to obtain the existence of solution. S...

    Authors: Yu Sun, Haibo Gu, Yanhui Zhang, Xingru Chen and Xingzhao Wang

    Citation: Advances in Difference Equations 2018 2018:125

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  10. Content type: Research

    This work predominantly labels the problem of approximation of state variables for discrete-time stochastic genetic regulatory networks with leakage, distributed, and probabilistic measurement delays. Here we ...

    Authors: S. Pandiselvi, R. Raja, Jinde Cao, G. Rajchakit and Bashir Ahmad

    Citation: Advances in Difference Equations 2018 2018:123

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Page 1 of 108

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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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