You Position: Home > Paper
Unique Positive Solution of Boundary Value Problem for Fractional Differential Equations
( views:111, downloads:0 )
- Author:
- No author available
- Journal Title:
- JOURNAL OF BIOMATHEMATICS
- Issue:
- 1
- DOI:
- No doi available
- Key Word:
- Riemann-Liouville导数;分数阶微分方程;正解;Riemann-Liouville differentiation;Fractional differential equation;Positive solution
Abstract： Fractional differential equations play an important role in biological sciences and other fields. In this paper, we consider the uniqueness of positive solution for boundary value problem of fractional differential equation. Our results can not only guarantee the existence of unique positive solution, but also be applied to construct an iterative schemes to approximate it.
- [1]谭德君.具有脉冲和功能反应的扩散时滞的竞争系统正周期解的存在性[J].2005,(4).
- [2]Daqing Jiang,Xiaojie Xu,Chengjun Yuan.Multiple positive solutions for the boundary value problem of anonlinear fractional differential equation[J].2009,71(10).
- [3]王文霞,梁展东.一类非线性算子的不动点定理及其应用[J].2005,(4).
- [4]Chengjun Yuan,Daqing Jiang.The positive properties of the Green function for Dirichlet-typeboundary value problems of nonlinear fractional differential equations and its application[J].2010,72(2).
- [5]樊晓明,王志刚,庞淑萍.具有脉冲效应的多种群竞争-捕食系统的正周期解的存在性[J].2009,(3).
- [6]Zhanbing Bai.On positive solutions of a nonlocal fractional boundary value problem[J].2010,72(2).
- [7]John R. Graef,Samira Hamani,Mouffak Benchohra.Existence results for boundary value problems with non-linear fractional differential equations[J].2008,87(7).
- [8].Existence of positive solutions of the boundary value problem for nonlinear fractional differential equations[J].2010,59(3).
- [9]Bai ZB,Lu HS.Positive solutions for boundary value problem of nonlinear fractional differential equation[J].2005,311(2).