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  1. Research

    Fractional differential equations for the generalized Mittag-Leffler function

    In this paper, we establish some (presumably new) differential equation formulas for the extended Mittag-Leffler-type function by using the Saigo-Maeda fractional differential operators involving the Appell fu...

    Praveen Agarwal, Qasem Al-Mdallal, Yeol Je Cho and Shilpi Jain

    Advances in Difference Equations 2018 2018:58

    Published on: 15 February 2018

  2. Research

    Delay-dependent stability criteria for neutral-type neural networks with interval time-varying delay signals under the effects of leakage delay

    We examine the stability problem for delayed neutral-type neural networks (NNs) with interval time-varying delay signals under the effects of leakage term by constructing a suitable Lyapunov–Krasovskii functio...

    R. Manivannan, R. Samidurai, Jinde Cao, Ahmed Alsaedi and Fuad E. Alsaadi

    Advances in Difference Equations 2018 2018:53

    Published on: 12 February 2018

  3. Research

    Existence of positive solutions for a high order fractional differential equation integral boundary value problem with changing sign nonlinearity

    In this paper, we investigate the existence of positive solutions for a class of high order fractional differential equation integral boundary value problems with changing sign nonlinearity. By applying cone e...

    Jiankun He, Mei Jia, Xiping Liu and Hui Chen

    Advances in Difference Equations 2018 2018:49

    Published on: 5 February 2018

  4. Research

    Almost periodic and asymptotically almost periodic functions: part I

    In this paper, we review indispensable properties and characterizations of almost periodic functions and asymptotically almost periodic functions in Banach spaces. Special accent is put on the Stepanov general...

    Dhaou Lassoued, Rahim Shah and Tongxing Li

    Advances in Difference Equations 2018 2018:47

    Published on: 2 February 2018

  5. Research

    Bifurcations and chaos in a discrete SI epidemic model with fractional order

    In this study, a new discrete SI epidemic model is proposed and established from SI fractional-order epidemic model. The existence conditions, the stability of the equilibrium points and the occurrence of bifu...

    Mahmoud A. M. Abdelaziz, Ahmad Izani Ismail, Farah A. Abdullah and Mohd Hafiz Mohd

    Advances in Difference Equations 2018 2018:44

    Published on: 29 January 2018

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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