一类高分数阶微分方程积分边值问题的正解

Positive solution to integral boundary value problem for a class of higher fractional differential equation

摘要:

利用锥拉伸和压缩不动点定理,研究了一类高分数阶微分方程积分边值问题, 获得了相应的格林函数及其性质,同时给出了方程至少有一个和至少有两个正解的充分条件

Abstract:

By using fixed point theory of cone expansion and compression of norm type, a class of boundary value problem for higher fractional differential equation with integral conditions is investigated. The relevant Green function and its property is obtained. At the same time,some sufficient conditions on the existence of at least one and two positive solutions are established.