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  1. Research

    Existence results for impulsive fractional integro-differential equation of mixed type with constant coefficient and antiperiodic boundary conditions

    In this paper, we are concerned with the existence and uniqueness of solutions for impulsive fractional integro-differential equation of mixed type with constant coefficient and antiperiodic boundary condition...

    Mingyue Zuo, Xinan Hao, Lishan Liu and Yujun Cui

    Boundary Value Problems 2017 2017:161

    Published on: 3 November 2017

  2. Research

    Existence theorems and Hyers-Ulam stability for a coupled system of fractional differential equations with p-Laplacian operator

    In this paper, we study the existence and uniqueness of solution (EUS) as well as Hyers-Ulam stability for a coupled system of FDEs in Caputo’s sense with nonlinear p-Laplacian operator. For this purpose, the sug...

    Hasib Khan, Yongjin Li, Wen Chen, Dumitru Baleanu and Aziz Khan

    Boundary Value Problems 2017 2017:157

    Published on: 30 October 2017

  3. Research

    Some optimal control problems of heat equations with weighted controls

    In this paper, the time and norm optimal control problems of controlled heat equations with a weight function are considered. For the time optimal problems, we study the following two cases: one is for equatio...

    Shufang Liu, Dandan Liu and Guoqi Wang

    Boundary Value Problems 2017 2017:148

    Published on: 11 October 2017

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