无穷区间上带有积分边界条件的分数阶微分方程解的存在性  

Solutions of Fractional Differential Equations with Integral Boundary Conditions on Infinite Interval

作　　者：许文序 周宗福[1] 

机构地区：[1]安徽大学数学科学学院,安徽合肥230601

出　　处：《数学的实践与认识》2017年第23期227-235,共9页Mathematics in Practice and Theory

基　　金：国家自然科学基金项目(11371027);安徽省自然科学基金项目(1608085MA12)

摘　　要：研究一类无穷区间上的含积分边界条件的分数阶微分方程解的存在性问题.利用Banach不动点定理和Krasnoselskii不动点定理,得到了此边值问题解存在的若干充分条件,并给出例子说明所得结果的应用性.In this paper, the existence of solutions for a class of fractional differential equations with integral boundary conditions on infinite interval is studied. Some sufficient results of existence of solutions for the boundary value problem are obtained by using Banach fixed point theorem and Krasnoselskii fixed point theorem. An example is given to illustrate the application of the results.

关 键 词：无穷区间 分数阶微分方程 积分边界条件 存在性 

分 类 号：O175[理学—数学]