Title: Existence of positive solutions for multi-point boundary value problems of Caputo fractional differential equation

Authors: Yunhong Li; Anbin Qi

Addresses: College of Sciences, Hebei University of Science and Technology, Shijiazhuang, 050018 Hebei, P.R. China ' College of Mechanical Engineering, Hebei University of Science and Technology, Shijiazhuang, 050018 Hebei, P.R. China

Abstract: In this paper, we investigate the existence of positive solutions for the non-linear Caputo fractional differential equation. Using the five-functional fixed-point theorem, the existence of multiple positive solutions is obtained for the boundary value problems. An example is also given to illustrate our main result.

Keywords: boundary value problems; Caputo fractional differential equation; multiple positive solutions; the five-functional fixed-point theorem.

DOI: 10.1504/IJDSDE.2017.085829

International Journal of Dynamical Systems and Differential Equations, 2017 Vol.7 No.2, pp.169 - 183

Available online: 01 Aug 2017 *

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