分数阶微分方程积分边值问题正解的存在性  

Existence of Positive Solutions for a Class of Fractional Differential Equation with Integral Boundary Value Problems

作　　者：金京福[1] 刘锡平[1] 窦丽霞[1] 王平友[1] 

机构地区：[1]上海理工大学理学院,上海200093

出　　处：《吉林大学学报（理学版）》2011年第5期823-828,共6页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11071164);上海市教委科研创新基金重点项目(批准号:10ZZ93);安徽省自然科学基金(批准号:10040606Q50)

摘　　要：利用锥上不动点定理,研究一类分数阶微分方程积分边值问题正解的存在性,得到了边值问题至少存在一个正解的充分条件,并给出了应用实例.The authors investigated the existence of positive solutions of the boundary value problems for fractional differential equation with integral boundary conditions.By using the fixed point theorem in cones,some new results of existence of at least one positive solution for the boundary value problem were obtained.Corresponding examples were presented to illustrate the application of the main results.

关 键 词：分数阶微分方程 积分边值问题 Caputo型分数阶导数 锥上不动点定理 正解 

分 类 号：O175.8[理学—数学]