Existence on Positive Solutions for Boundary Value Problems of Singular Nonlinear Fractional Differential Equations

摘要：

In this paper, we study the existence of positive solutions for the singular nonlinear fractional differential equation boundary value problem Dα 0+u(t)+f(t, u(t))=0,0<t<1,u(0)=u(1)=u′(0)=0, where 2<α≤3 is a real number, Dα 0+is the Riemann-Liouville fractional derivative, and f: (0,1×0,+∞)→0,+∞) is continuous, limt→0+f(t,·)=+∞ (i.e.,f is singular at t=0). Our analysis rely on nonlinear alternative of Leray-Schauder type and Krasnosel’skii fixed point theorem on a cone. As an application, an example is presented to illustrate the main results.

关键词： Singular fractional differential equation Boundary value problem Positive solution Fractional Green’s function Fixed point theorem

作者: Yige Zhao Shurong Sun Zhenlai Han Meng Zhang

作者单位: School of Science University of Jinan Jinan, Shandong 250022, P R China School of Science, University of Jinan Jinan, Shandong 250022, P R China;School of Control Science a School of Science, University of Jinan Jinan, Shandong 250022, P R China

会议类型: 国际会议

会议名称: 2010 IEEE/ASME International Conference on Mechatronic and Embedded System and Applications(2010 IEEE 机电一体化和嵌入式系统与应用国际会议)

会议地点: 青岛

会议语种:英文

页码: 480-485

在线出版日期: 2010-07-15（万方平台首次上网日期，不代表论文的发表时间）