Original Article
Kyungpook Mathematical Journal 2013; 53(2): 257-271
Published online June 23, 2013
Copyright © Kyungpook Mathematical Journal.
Multiple Unbounded Positive Solutions for the Boundary Value Problems of the Singular Fractional Differential Equations
Yuji Liu1, Haiping Shi2 , Xingyuan Liu3
1Department of Mathematics, Hunan Institute of Science and Technology, Yueyang Hunan, 414000, China
2Basic Courses Department, Guangdong Construction Vocational Technology Institute, Guangzhou 510450, P.R.China
3Department of Mathematics, Shaoyang University, Shaoyang Hunan, 422600, China
In this article, we establish the existence of at least three unbounded positive solutions to a boundary-value problem of the nonlinear singular fractional differential equation. Our analysis relies on the well known fixed point theorems in the cones.
Keywords: Positive solution, fractional differential equation, fixed-point theorem