一类分数阶微分方程系统边值问题正解的存在性  

Existence of Positive Solutions for Boundary Value Problem of a Coupled System of Nonlinear Fractional Differential Equations

作　　者：申腾飞[1] 宋文耀[1] 

机构地区：[1]中国矿业大学理学院,江苏徐州221008

出　　处：《常熟理工学院学报》2012年第4期28-34,共7页Journal of Changshu Institute of Technology

摘　　要：利用锥拉伸与压缩不动点定理和Leray-Schauder非线性抉择,讨论了一类非线性的Riemann-Liouville分数阶微分方程耦合系统边值问题,得出边值问题的正解存在的充分条件.In this paper, the existence of positive solutions for boundary value problem of a coupled system of nonlinear fractional differential equations was discussed. By using the fixed-point theorems, some results were obtained.

关 键 词：分数阶微分方程 边值问题 不动点定理 正解 

分 类 号：O175.8[理学—数学]