一类带积分边值条件的非线性分数阶微分方程的正解（英文）

Positive solutions for nonlinear fractional differential equations with integral boundary value conditions

利用Green函数的性质和Schauder不动点定理,本文研究一类带积分边值条件的非线性Caputo型分数阶微分方程边值问题,得到该边值问题正解的存在性定理,推广了相关结果,并举例说明了主要结果的适用性.

We studied the existence of positive solutions for nonlinear Caputo fractional differential equa- tions with integral boundary value conditions. The existence results of positive solutions for the bounda- ry value problems are obtained by applying the properties of Green function and Schauder fixed point theorem, which partly extend the corresponding results of fractional differential equations. Two exam- ples are also presented to illustrate the applications of the main results.