一类分数阶微分方程解的存在性

Existence of Solutions for a Class of Fractional Differential Equations

研究了非线性分数阶微分方程边值问题解的存在性,借助于Green函数的性质,利用Banach压缩映像原理和锥上的Krasnoselskii’s不动点定理,得到了2个分数阶微分方程解的存在性定理,最后,举例验证所得结论的可行性.

This paper presents the existence of solutions of boundary value problem of nonlinear fractional differential equations. Based on the properties of the Green function, the existence theorems of solu- tions of fractional differential equation are obtained by using the Banach＇s contraction mapping principle and the Krasnoselskii＇s fixed point theorem in a cone. Finally,an example is given to demonstrate the feasi- bility of the obtained results.