Multiple positive solution to boundary value problems for a coupled systems of nonlinear semipositone fractional differential equations

摘要：

In this paper, we considered some new existence results for the existence of solutions for a class of boundary value problem of semipositone nonlinear fractional coupled differential equation involving the Riemann-Liouville’s fractional derivative. While the nonlinear terms being continuous and semipositive, we derive an interval of the eigenvalue parameter λ such that any λ lying in this interval, the semipositive boundary value problem has multiple positive solutions. Some examples are also given to illustrate the main results.

关键词： Riemann-Liouville’s fractional derivative Boundary-value problem Positive solution Fixed-point theorem

作者: YANG Donghui YUAN Chengjun

作者单位: Heilongjiang Natural Coal Mine Equipment Lease Company, Harbin 150001, P. R. China School of Science, Harbin University, Harbin 150080, P. R. China

会议类型: 国际会议

会议名称: The 24th Chinese Control and Decision Conference (第24届中国控制与决策学术年会 2012 CCDC)

会议地点: 太原

会议语种:英文

页码: 1355-1360

在线出版日期: 2012-05-23（万方平台首次上网日期，不代表论文的发表时间）