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分数阶奇异微分方程初值问题正解的存在性
引用本文:张淑琴.分数阶奇异微分方程初值问题正解的存在性[J].数学学报,2007,50(4):813-822.
作者姓名:张淑琴
作者单位:中国矿业大学(北京)理学院数学系 北京100083
摘    要:分数阶微分方程解的存在性问题近年来引起了许多人的关注,本文考察了一个非线性分数阶奇异微分方程初值问题正解的存在性,我们的结果削弱了Babakhani, Varsha的假设条件,并要求其非线性项具有一定程度的奇异性.

关 键 词:Riemann-Liouville分数阶导数  奇异  分数阶微分方程
文章编号:0583-1431(2007)04-0813-10
收稿时间:2006-1-9
修稿时间:2006-01-09

Existence of Positive Solution for a Singular Initial Value Problem for Fractional Differential Equation
Shu Qin ZHANG.Existence of Positive Solution for a Singular Initial Value Problem for Fractional Differential Equation[J].Acta Mathematica Sinica,2007,50(4):813-822.
Authors:Shu Qin ZHANG
Institution:Department of Mathematics, China University of Mining and Technology, Beijing 100083 P. R. China
Abstract:The existence of solutions for differential equations of fractional order have been of great interesting,in this paper,we investigate the existence of positive solu- tion for a singular initial value problem for fractional differential equation,our result weakens the assumptions of Babakhani,Varsha,and let the nonlinear term has some singulars.
Keywords:Riemann-Liouville fractional derivative  singular  differential equations of fractional order
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