带有积分与无穷点边值条件的分数阶微分方程的正解  

Positive Solutions for Fractional Differential Equations with Integral and Infinite-Point Boundary Conditions

作　　者：沈凯月 周宗福[1] SHEN Kaiyue;ZHOU Zongfu(School of Mathematical Science,Anhui University,Hefei 230601,China)

机构地区：[1]安徽大学数学科学学院,安徽合肥230601

出　　处：《应用数学》2020年第3期563-571,共9页Mathematica Applicata

基　　金：the National Natural Science Foundation of China(11371027);Anhui provincial Natural Science Foundation(1608085MA12)。

摘　　要：研究一类带有积分边值条件和无穷点边值条件的分数阶微分方程的正解问题.借助Green函数有关的性质,并利用锥上不动点定理,获得该问题正解的存在性结果.最后给出一个例子说明所得结果的应用性.We study the positive solutions of a class of fractional differential equations with integral boundary conditions and infinite-point boundary value conditions.By mean of the properties of Green function and the fixed point theorem of cone expansion and compression of norm type,the existence results of the positive solution of the boundary value problem are obtained.Finally,we also give an example to illustrate the applicability of the results.

关 键 词：积分边值条件 分数阶微分方程 不动点定理 正解 

分 类 号：O175.8[理学—数学]