含参数分数阶微分方程边值问题的极值解

Extreme solutions of boundary value problems for fractional order differential equations with parameters

该文研究了一类含参数λ并且阶数大于1(1<∂<2)的分数阶脉冲泛函微分方程,利用分数阶微积分理论,将它转化为一阶常微分方程边值问题,再利用单调迭代技术和上下解方法来研究这类方程的极值解的存在性.

In this paper,a class of fractional-order impulsive functional differential equations with parameters and order greater than 1(1<∂<2)are studied.By using the fractional-order calculus theory,it’s transformed into a first-order boundary value problem of ordinary differential equations.Then the monotone iterative technique and the upper and lower solution method are used to study the existence of the extremum solution of this class of equations.