摘要
研究一类高分数阶微分方程边值问题的正解.通过一些锥上的不动点定理和等效的第二类Fredholm积分方程来研究这个方程正解的存在性和多重性,进而得到两个关于此类方程正解的定理.
The existence of positive solutions of boundary value problems for fractional differential equation is studied.By using some fixed point theorems on cone and the equivalent Fredholm integral equation of second kind,the existence and multiplicity of its positive solutions are researched,and two theorems about this high fractional differential equation＇s positive solutions are obtained.
出处
《徐州师范大学学报（自然科学版）》
CAS
2012年第1期24-28,共5页
Journal of Xuzhou Normal University(Natural Science Edition)
基金
河海大学科研基金资助项目(E05115-1014)
关键词
高分数阶微分方程
正解
边值问题
格林函数
不动点定理
high fractional differential equation
positive solution
boundary value problem
Green function
fixed point theorem
