Uniqueness and existence of positive solutions for a multi-point boundary value problem of singular fractional differential equations

作者：Zhou, Wen-Xue^*; Chu, Yan-Dong; Baleanu, Dumitru

来源：Advances in Difference Equations, 2013, 2013(1): 114.

DOI：10.1186/1687-1847-2013-114

• boundary value problem
• singular fractional differential equations
• Riemann-Liouville fractional derivative
• uniqueness
• partially ordered set

In this paper, we study the uniqueness of a positive solution for the singular nonlinear fractional differential equation boundary value problem , , , , where is a real number, is the standard Riemann-Liouville differentiation and , with . Our analysis relies on a fixed-point theorem in partially ordered set. As an application, an example is presented to illustrate the main result. @@@ MSC: 26A33, 34B15, 34K37.

• 出版日期2013
• 单位复旦大学; 兰州交通大学