一类无穷区间上分数阶耦合系统边值问题解的存在性  

Existence Solutions for a Coupled System of Fractional Boundary Value Problems on Unbounded Domains

作　　者：刘梦婷[1] 杨军[1] 彭丹[1] 马佳宇 

机构地区：[1]燕山大学理学院,河北秦皇岛066004

出　　处：《数学的实践与认识》2017年第16期171-180,共10页Mathematics in Practice and Theory

基　　金：国家自然科学基金(61403335);河北省青年科学基金(13961806D)

摘　　要：讨论了在无穷区间上一类分数阶耦合系统边值问题解的存在性的问题.通过建立相应的相对紧的判定准则,构造相应的全连续算子,借助不动点理论及Leray-Schauder非线性抉择,得到解的存在性.In this paper, we investigate existence solutions for a coupled system of frac- tional boundary value problems on unbounded domains. By using corresponding suitable Banach spaces, discussing the sufficient condition of relatively compact, constructing the corresponding completely continuous operators and applying Schauder fixed point theorem and Nonlinear alternative of Leray-Schauder, we obtain the existence of solution.

关 键 词：无穷区间 不动点定理 边值问题 耦合系统 

分 类 号：O175.8[理学—数学]