一类非线性Riemann-Liouville型分数阶微分方程边值问题的两个正解  

Two Positive Solutions of Boundary Value Problem for a Class of Nonlinear Riemann-Liouville Fractional Differential Equations

作　　者：薛益民[1] XUE Yi-min(School of Mathematics and Physics,Xuzhou Institute of Technology,Xuzhou 221018,Jiangsu,China)

机构地区：[1]徐州工程学院数学与物理科学学院,江苏徐州221018

出　　处：《内蒙古师范大学学报（自然科学汉文版）》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)

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.

关 键 词：分数阶微分方程 边值问题 正解 GREEN函数 不动点定理 

分 类 号：O175.8[理学—数学]