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  1. Research

    A new method for investigating approximate solutions of some fractional integro-differential equations involving the Caputo-Fabrizio derivative

    We present a new method to investigate some fractional integro-differential equations involving the Caputo-Fabrizio derivation and we prove the existence of approximate solutions for these problems. We provide...

    Dumitru Baleanu, Asef Mousalou and Shahram Rezapour

    Advances in Difference Equations 2017 2017:51

    Published on: 9 February 2017

  2. Research

    On the quartic Gauss sums and their recurrence property

    The main purpose of this paper is, using the method of trigonometric sums and the properties of Gauss sums, to study the computational problem of one kind of congruence equation modulo an odd prime and give so...

    Shimeng Shen and Wenpeng Zhang

    Advances in Difference Equations 2017 2017:43

    Published on: 7 February 2017

  3. Research

    Finite-time control for uncertain systems with nonlinear perturbations

    This study investigates the problem of finite-time control for uncertain systems with nonlinear perturbations. The aim is to design the state-feedback and output-feedback controller which ensure finite-time bo...

    Yuhong Liu, Hui Li, Qishui Zhong and Shouming Zhong

    Advances in Difference Equations 2017 2017:45

    Published on: 7 February 2017

  4. Research

    On solutions of fractional Riccati differential equations

    We apply an iterative reproducing kernel Hilbert space method to get the solutions of fractional Riccati differential equations. The analysis implemented in this work forms a crucial step in the process of dev...

    Mehmet Giyas Sakar, Ali Akgül and Dumitru Baleanu

    Advances in Difference Equations 2017 2017:39

    Published on: 3 February 2017

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