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论文摘要

一类分数阶微分方程积分边值问题的正解

Positive solutions to integral boundary value problem for a class of fractional differential equations

作者:张立新(北京联合大学基础部);杨玉洁(北京联合大学基础部);贾文敬(北京联合大学基础部)

Author:ZHANG Li-Xin(Department of Basic Courses, Beijing Union University);YANG Yu-Jie(Department of Basic Courses, Beijing Union University);JIA Wen-Jing(Department of Basic Courses, Beijing Union University)

收稿日期:2017-02-19          年卷(期)页码:2017,54(6):1169-1172

期刊名称:四川大学学报: 自然科学版

Journal Name:Journal of Sichuan University (Natural Science Edition)

关键字:积分边值问题;正解;分数阶微分方程; 不动点定理

Key words:Integral boundary value problem; Positive solution; Fractional differential equation; Fixed point theorem

基金项目:国家自然科学基金

中文摘要

应用Krasnosel'skii及Leggett-Williams不动点定理,研究了一类含积分边界条件的Caputo型分数阶微分方程的边值问题,得到了一个及三个正解存在的充分条件.

英文摘要

We investigate the existence of positive solutions for Caputo's fractional differential equations with integral boundary conditions. By means of Krasnosel'skii fixed point theorem and Leggett-Williams fixed point theorem, the existence theorems of one positive solution or three positive solutions are obtained, respectively.

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