两类分数阶微分方程的边值问题（英文）  

SOME RESULTS FOR TWO KINDS OF FRACTIONAL EQUATIONS WITH BOUNDARY VALUE PROBLEMS

作　　者：吴亚运[1] 李晓艳[1] 蒋威[1] 

机构地区：[1]安徽大学数学科学学院,安徽合肥230601

出　　处：《数学杂志》2016年第5期889-897,共9页Journal of Mathematics

基　　金：Supported by the National Nature Science Foundation of China(11371027);Starting Research Fund for Doctors of Anhui University(023033190249);National Natural Science Foundation of China,Tian Yuan Special Foundation(11326115);the Special Research Fund for the Doctoral Program of the Ministry of Education of China(20123401120001)

摘　　要：本文研究了两类非线性项含有未知函数导数的分数阶微分方程的边值问题.利用分数阶微积分的性质及Banach不动点定理,获得了解的存在唯一性等有关结果,推广了已有文献的结论.In this paper,we study the boundary value problems for two kinds of fractional differential equations,in which the nonlinear term including the derivative of the unknown function.Using the properties of the fractional calculus and the Banach contraction principle,we give the existence results of solutions for these fractional differential equations,which generalize the results of previous literatures.

关 键 词：分数阶微分方程 巴拿赫压缩定理 边值问题 单调正解 

分 类 号：O175.1[理学—数学]