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The paper is mainly concerned with the existence and uniqueness of solution for a class of Cauchy initial value problem of fractional order with impulses and infinite delay. The criteria on existences and uniqueness are obtained via successive approximation and solution operator. Finally an example is given to support our main result.

Keywords

Caputo Fractional Derivative, Existence and Uniqueness, Fractional Impulsive Differential Equation, Infinite Delay
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