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Existence Results for Fractional Differential Equations with the Riesz-Caputo Derivative
  
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KeyWord:Fractional differential equation  Riesz-Caputo derivative  Fixed point theorem
Author NameAffiliation
Shan Wang School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, China 
Zhen Wang Qingdao Yonghe Road Primary School, Qingdao, Shandong 272000, China 
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Abstract:
      In this paper, we apply some fixed point theorems to attain the existence of solutions for fractional differential equations with the space-time Riesz-Caputo derivative. We study the boundary value problems that the nonlinearity term $f$ is relevant to fractional integral and fractional derivative. In addition, the boundary conditions involve integral. Two examples are given to show the effectiveness of theoretical results.