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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.