一类分数阶微分方程积分边值问题的正解

Positive solutions to integral boundary value problem for a class of fractional differential equations

摘要:

应用Krasnosel'skii及Leggett-Williams不动点定理，研究了一类含积分边界条件的Caputo型分数阶微分方程的边值问题，得到了一个及三个正解存在的充分条件.

关键词:积分边值问题;正解;分数阶微分方程; 不动点定理

Abstract:

We investigate the existence of positive solutions for Caputo's fractional differential equations with integral boundary conditions. By means of Krasnosel'skii fixed point theorem and Leggett-Williams fixed point theorem, the existence theorems of one positive solution or three positive solutions are obtained, respectively.

Key words:Integral boundary value problem; Positive solution; Fractional differential equation; Fixed point theorem