摘要
研究一类非线性Riemann-Liouville型分数阶微分方程边值问题两个正解的存在性.利用格林函数的性质和Guo-Krasnosel'skii's不动点定理,得到了该边值问题两个正解存在的充分条件,并举例说明了定理的适用性.
In this paper,we studied the existence of two solutions of boundary value problem for a class of nonlinear Riemann-Liouville fractional differential equations.The sufficient condition for existence of two positive solutions was established by using the properties of the associated Green s function and Guo-Krasnosel skii s fixed point theorem.One example was presented to illustrate the applicability of our main results.
作者
薛益民
XUE Yi-min(School of Mathematics and Physics,Xuzhou Institute of Technology,Xuzhou 221018,Jiangsu,China)
出处
《内蒙古师范大学学报（自然科学汉文版）》
CAS
2019年第3期196-199,204,共5页
Journal of Inner Mongolia Normal University(Natural Science Edition)
基金
国家自然科学数学天元基金资助项目(11526177)
江苏省自然科学基金资助项目(BK20151160)
徐州工程学院培育项目(XKY2017113)
关键词
分数阶微分方程
边值问题
正解
GREEN函数
不动点定理
fractional differential equation
boundary value problem
positive solution
Green s function
fixed point theorem
