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Open Access Research

Green’s function for Sturm-Liouville-type boundary value problems of fractional order impulsive differential equations and its application

Jie Zhou and Meiqiang Feng*

Author Affiliations

School of Applied Science, Beijing Information Science & Technology University, Beijing, 100192, Republic of China

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Boundary Value Problems 2014, 2014:69  doi:10.1186/1687-2770-2014-69

Published: 25 March 2014

Abstract

In this paper, we discuss the expression and properties of Green’s function for boundary value problems of nonlinear Sturm-Liouville-type fractional order impulsive differential equations. Its applications are also given. Our results are compared with some recent results by Bai and Lü.

Keywords:
fractional differential equation; impulse; Green’s function; existence; fixed point theorem