一类分数阶微分方程边值问题的解的讨论  

Discussion on the Solution to the Boundary Value Problem of a Class of Fractional Differential Equations

作　　者：陈静[1] CHEN Jing(Yangzhou Polytechnic College, Yangzhou 225009, Chin)

机构地区：[1]扬州职业大学,江苏扬州225009

出　　处：《扬州职业大学学报》2017年第4期42-45,共4页Journal of Yangzhou Polytechnic College

摘　　要：分数阶微分方程被应用在很多领域,对其边值问题的解的存在性研究是学界的热点。利用格林函数法、Schauder不动点定理和Banach不动点定理讨论了一类分数阶微分方程边值问题的解的存在性。Fractional differential equations are applied in mary fields,and the existence of solutions to their boundary value problems is a hot topic in academic circles. By using the Green＇s function,Schander＇s and Banach＇s fixed point theorems,this arcticle makes a discussion on the solution to the boundary value problem of a class of fractional differential equations.

关 键 词：分数阶微分方程 边值问题 格林函数法 不动点定理 

分 类 号：O175.8[理学—数学]