Nonlinear impulsive fractional differential equations in Banach spaces

Tian Liang Guo

Abstract


In this paper, we consider initial value problems for a class of nonlinear impulsive fractional differential equations involving the
Caputo fractional derivative in a Banach space. We give a natural
formula of the solution and some related existence results by
applying Mönch's fixed point theorem and the technique of
measures of noncompactness.

Keywords


Impulsive fractional differential equations; initial value problem; measure of noncompactness; Mönch's fixed point theorem

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