应用数学2009，Vol.22Issue(4)：858-862,5.
一类非线性分数微分方程正解的存在唯一性
Existence and Uniqueness of Positive Solution for a Class of Nonlinear Fractional Differential Equations
摘要
Abstract
In this paper,the existence and uniqueness of positive solution for a class of nonlinear fractional differential equations is proved by constructing the upper and lower control function of the nonlinear terms without any monotone requirement. Our main method used in the work is the method of upper and lower solutions and Schauder fixed point theorem. Some known results are extended.关键词
分数微分方程/正解/存在唯一性/上、下解方法/不动点理论Key words
Fractional differential equations/ Positive solution/ Upper and lower solution/ Existence and uniqueness/ Fixed point theorem分类
数理科学引用本文复制引用
王长有,李林林,龚辉,王术..一类非线性分数微分方程正解的存在唯一性[J].应用数学,2009,22(4):858-862,5.基金项目
重庆市教育委员会科学技术研究项目(KJ080511),重庆市科委自然科学基金计划项目(CSTC,2008BB7415) （KJ080511）
