一类带有p-Laplacian算子分数阶微分方程边值问题正解的存在性  

Existence of Positive Solutions for Boundary Value Problem with p-Laplacian Operator of Fractional Differential Equations

作　　者：申腾飞[1] 刘文斌[1] 宋文耀[1] 

机构地区：[1]中国矿业大学理学院,中国徐州221008

出　　处：《湖南师范大学自然科学学报》2012年第5期9-14,29,共7页Journal of Natural Science of Hunan Normal University

基　　金：中央高校基本科研业务费中国矿业大学理科专项基金资助项目(2010LKSX09)

摘　　要：利用锥拉伸与压缩不动点定理和Legget-Williams不动点定理,讨论了一类带有p-Laplacian算子Riemann-Liouville分数阶微分方程边值问题,得出边值问题的正解的存在充分条件.The existence of positive solutions for boundary value problem with p-Laplacian of Riemann- Liouville fractional differential equations is discussed by using Krasnoselkiis fixed-point theorems and Legget- Williams fixed-point theorem. Sufficient conditions are obtained for the existence of positive solutions of boundary value problem.

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]