Title: Existence of multiple positive solutions for nonlinear three-point problem for Riemann-Liouville fractional differential equation

Authors: Yunhong Li; Weihua Jiang

Addresses: College of Sciences, Hebei University of Science and Technology, Shijiazhuang, 050018, Hebei, China ' College of Sciences, Hebei University of Science and Technology, Shijiazhuang, 050018, Hebei, China

Abstract: In this paper, the existence of multiple positive solutions is considered for nonlinear three-point problem for Riemann-Liouville fractional differential equation. We use the Avery-Peterson fixed point theorem to acquire the existence of multiple positive solutions for the boundary value problem. Two examples are also presented to illustrate the effectiveness of the main result.

Keywords: Riemann-Liouville fractional derivative; positive solutions; Avery-Peterson fixed point theorem.

DOI: 10.1504/IJDSDE.2020.106029

International Journal of Dynamical Systems and Differential Equations, 2020 Vol.10 No.2, pp.167 - 182

Received: 30 Mar 2018
Accepted: 16 Oct 2018
Published online: 25 Mar 2020 *

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