Existence results for the three-point impulsive boundary value problem involving fractional differential equations

Authors:
Yuansheng Tian;Zhanbing Bai
Affiliations:
Department of Mathematics, Xiangnan University, Chenzhou, Hunan, 423000, People's Republic of China;Institute of Mathematics, Shandong University of Science and Technology, Qingdao, 266510, People's Republic of China
Venue:
Computers & Mathematics with Applications
Year:
2010

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Abstract

In this paper, we consider the existence of solutions for a class of three-point boundary value problems involving nonlinear impulsive fractional differential equations. By use of Banach's fixed point theorem and Schauder's fixed point theorem, some existence results are obtained.