无穷区间上分数阶微分方程的极值解迭代序列  

Iterative Sequences of Extremal Solutions for a Class of Fractional Differential Equations on an Infinite Interval

作　　者：张海燕[1] 李耀红[1] ZHANG Haiyan;LI Yaohong(School of Mathematics and Statistics,Suzhou University,234000,Suzhou,Anhui,China)

机构地区：[1]宿州学院数学与统计学院,安徽宿州234000

出　　处：《淮北师范大学学报（自然科学版）》2018年第3期1-5,共5页Journal of Huaibei Normal University：Natural Sciences

基　　金：安徽省高等学校自然科学基金重点项目(KJ2017A442;KJ2017A702;KJ2018A252);宿州学院自然科学重点项目(2016yzd06);宿州学院优秀学术技术骨干项目(2016XJGG13)

摘　　要：利用单调迭代方法,结合算子的全连续性,在一定非线性增长条件下,研究无穷区间上一类具有积分边值条件的分数阶微分方程.获得该问题相应Green函数的性质和极大极小正解迭代序列,并给出一个例子说明结果的应用.By using the monotone iterative method and the complete continuity of an operator,combined with some nonlinear growth conditions,a class of fractional differential equations with fractional integral boundary conditions on an infinite interval is investigated.The relevant Green function property and positive extremal solutions and iterative sequences for approximating them are obtained.An example is given to illustrate the application of the result.

关 键 词：分数阶微分方程 极值解 迭代序列 单调迭代方法 

分 类 号：O175.8[理学—数学]