摘要
考虑一类带有Caputo’s分数阶导数的多点边值问题。通过变换,将分数阶多点边值问题转化为一个等价的积分方程;根据格林函数本身的特点,给出一些重要性质;根据方程的特点给出了上下解的定义,并利用上下解的方法研究这类积分方程,得到这类问题正解的存在性。
Consider a class of nonlinear muhipoint boundary value problem with Caputo＇ s fractional order derivative. Fractional order muhipoint boundary value problem is transformed into an equivalent integral equation through the transformation. Some important properties are given based on the characteristics of the Green＇ s function. The definition of the upper and lower solutions are established according to the characteristics of the equation, the existence of positive solutions of this kind of problem is obtained by u- sing the upper and lower solutions method.
出处
《黑龙江大学自然科学学报》
CAS
北大核心
2017年第6期661-665,共5页
Journal of Natural Science of Heilongjiang University
基金
吉林省自然科学基金资助项目(20160101244JC)
2016年吉林省教育厅大学生创新创业训练计划项目(201610205087)
关键词
分数阶微分方程
上下解
正解
fractional order differential equation
lower and upper solutions
positive solution
