POSITIVE SOLUTIONS TO BOUNDARY VALUE PROBLEMS OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH PARAMETER  

作　　者：Qi Wang Dicheng Lu Rui Wang Yayun Fang 

机构地区：[1]School of Mathematical Sciences,Anhui University

出　　处：《Annals of Differential Equations》2014年第2期191-198,共8页微分方程年刊（英文版）

基　　金：supported by the Foundation of Anhui Education Bureau(KJ2012A019,KJ2013A028);NNSF of China(11271371,11226247);the Research Fund for the Doctoral Program of Higher Education(20103401120002,20113401110001);211 Project of Anhui University(02303129,02303303-33030011,02303902-39020011,KYXL2012004,XJYJXKC04);Anhui Provincial NSF(1408085MA02,1208085MA13,1308085MA01,1308085QA15)

摘　　要：In this paper, we consider a class of nonlinear fractional differential equation boun- dary value problem with a parameter. By some fixed point theorems, sufficient con- ditions for the existence, nonexistence and multiplicity of positive solutions to the system are obtained. An example is given to illustrate the main results.In this paper, we consider a class of nonlinear fractional differential equation boun- dary value problem with a parameter. By some fixed point theorems, sufficient con- ditions for the existence, nonexistence and multiplicity of positive solutions to the system are obtained. An example is given to illustrate the main results.

关 键 词：nonlinear fractional differential equation boundary value problem positive solution fixed point theorem 

分 类 号：O175.8[理学—数学]