四川师范大学学报（自然科学版）2018，Vol.41Issue(2)：197-204,8.DOI:10.3969/j.issn.1001-8395.2018.02.008
一类带有积分边界条件的分数阶微分方程正解的存在性
The Existence of Positive Solutions for a Class of Fractional Differential Equations with Integral Boundary Conditions
摘要
Abstract
In this paper,we study a class of boundary value problem (BVP)of fractional differential equations with integral boundary conditions,where the fractional derivative Dα0 + is the standard Riemann-Liouvile fractional derivative. By discussing the Green function,investigating its properties and using the Guo-Krasnosel'skii fixed point theorem,we obtain the existence of one posi-tive solution and two positive solutions for the above BVP,respectively. As the same time,we also give an example to illustrate our re-sults.关键词
分数阶微分方程/积分边界条件/正解/不动点定理Key words
fractional differential equation/integral boundary condition/positive solution/fixed point theorem分类
数理科学引用本文复制引用
贾建梅,王文霞,姚佳欣..一类带有积分边界条件的分数阶微分方程正解的存在性[J].四川师范大学学报（自然科学版）,2018,41(2):197-204,8.基金项目
国家自然科学基金(11361047)和山西省回国留学人员科研项目(2013-102) （11361047）
