一类带积分边值条件的非线性分数阶微分方程的正解

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

摘要:

利用Green函数的性质和Schauder不动点定理，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，推广了分数阶微分方程的相关结果，并举例说明主要结果的适用性.

Abstract:

We studied the existence of positive solutions for nonlinear Caputo fractional differential equations with integral boundary value conditions. The existence results of positive solutions for the boundary 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 examples are also presented to illustrate the applications of our main results.