Existence of Solutions for FractionalIntegro-differential Equations with Impulsive andIntegral Conditions

This paper presents the existence of solutions for a class of Cauchyproblems with integral condition for impulsive fractional integro-differentialequations. 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, threeexamples are given to demonstrate the feasibility of the obtained results.