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  1. Research

    FPGA implementation of adaptive sliding mode control and genetically optimized PID control for fractional-order induction motor system with uncertain load

    In this paper, we investigate the control of 4-D nonautonomous fractional-order uncertain model of a PI speed-regulated current-driven induction motor (FOIM) using a fractional-order adaptive sliding mode cont...

    Karthikeyan Rajagopal, Guessas Laarem, Anitha Karthikeyan and Ashokkumar Srinivasan

    Advances in Difference Equations 2017 2017:273

    Published on: 7 September 2017

  2. Research

    Sums of finite products of Genocchi functions

    In a previous work, it was shown that Faber-Pandharipande-Zagier and Miki’s identities can be derived from a polynomial identity which in turn follows from a Fourier series expansion of sums of products of Ber...

    Taekyun Kim, Dae San Kim, Lee Chae Jang and Gwan-Woo Jang

    Advances in Difference Equations 2017 2017:268

    Published on: 6 September 2017

  3. Research

    The wave equation with internal control in non-cylindrical domains

    In this paper, we shall be concerned with interior controllability for a one-dimensional wave equation in a domain with moving boundary. When the speed of the moving endpoint is less than a certain constant wh...

    Lizhi Cui

    Advances in Difference Equations 2017 2017:267

    Published on: 5 September 2017

  4. Research

    Optimal diffusion rate of species in flowing habitat

    It is widely accepted that diffusive dispersal can permit persistence in an advective environment. This paper studies in some sense the optimal diffusion rate of species in a flowing habitat with hostile downs...

    Benlong Xu and Nannan Liu

    Advances in Difference Equations 2017 2017:266

    Published on: 2 September 2017

  5. Research

    On the asymptotic behavior of fourth-order functional differential equations

    The aim of this work is to study asymptotic properties of a class of fourth-order delay differential equations. Our results in this paper not only generalize some previous results, but also improve the earlier...

    Osama Moaaz, Elmetwally M Elabbasy and Omar Bazighifan

    Advances in Difference Equations 2017 2017:261

    Published on: 31 August 2017

  6. Research

    Fault detection filter design for continuous-time nonlinear Markovian jump systems with mode-dependent delay and time-varying transition probabilities

    This paper focuses on fault detection filter (FDF) design for continuous-time nonlinear Markovian jump systems (NMJSs) with mode-dependent delay and time-varying transition probabilities (TPs). By using a nove...

    B Wang, FC Zou, J Cheng and SM Zhong

    Advances in Difference Equations 2017 2017:262

    Published on: 31 August 2017

  7. Research

    Study of generalized type K-fractional derivatives

    In this paper, the generalized type k-fractional derivatives are introduced and their semi-group, commutative and inverse properties are presented. These derivatives can be reduced to other fractional derivatives...

    MK Azam, G Farid and MA Rehman

    Advances in Difference Equations 2017 2017:249

    Published on: 22 August 2017

  8. Research

    On a new class of fractional operators

    This manuscript is based on the standard fractional calculus iteration procedure on conformable derivatives. We introduce new fractional integration and differentiation operators. We define spaces and present ...

    Fahd Jarad, Ekin Uğurlu, Thabet Abdeljawad and Dumitru Baleanu

    Advances in Difference Equations 2017 2017:247

    Published on: 22 August 2017

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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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