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Existence of Solutions for FractionalIntegro-differential Equations with Impulsive andIntegral Conditions
  
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KeyWord:Existence of solutions  impulsive fractional differential equations  fixed point theorems
Author NameAffiliation
Yanpeng Hao College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, Hebei 050024, China 
Qiaoluan Li College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, Hebei 050024, China 
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Abstract:
      This paper presents the existence of solutions for a class of Cauchy problems with integral condition for impulsive fractional integro-differential equations. Based on definition of solution for impulsive fractional integro- differential equations, the existence theorems of solutions of fractional differ- ential equation are obtained by applying fixed point methods. Finally, three examples are given to demonstrate the feasibility of the obtained results.