一类奇异分数阶微分方程积分边值问题正解的存在性

The Existence of Positive Solutions for a Class of Nonlinear Boundary Value Problem of Fractional Differential Equations with Integral Boundary Conditions

研究了一类奇异非线性分数阶微分方程积分边值问题正解的存在性,主要利用Green函数和Guo-Krasnoselskii不动点定理,得到方程正解存在性的新结果,结果改进和丰富了一些已有的研究结论.

In this paper,we discuss the existence of positive solutions for a class of nonlinear boundary value problem of fractional differential equations with integral boundary conditions. By using Green＇s function and Guo-Krasnoselskii fixed point theorem, the new existence of boundary value problems were obtained. Our results enrich and improve some existing research results.