Nonlinear impulsive fractional differential equations in Banach spaces
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  • Nonlinear impulsive fractional differential equations in Banach spaces

Nonlinear impulsive fractional differential equations in Banach spaces

Authors

  • Tian Liang Guo

Keywords

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

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.

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Published

2013-04-22

How to Cite

1.
GUO, Tian Liang. Nonlinear impulsive fractional differential equations in Banach spaces. Topological Methods in Nonlinear Analysis [online]. 22 April 2013, T. 42, nr 1, s. 221–232. [accessed 27.11.2021].

Issue

Vol 42, No 1 (September 2013)

Section

Articles

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