| 一类非线性分数阶微分方程边值问题多个正解的存在性 |
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| 引用本文： | 周慧燕,陈广贵,古传运. 一类非线性分数阶微分方程边值问题多个正解的存在性[J]. 新疆师范大学学报(自然科学版), 2012, 31(2): 77-81 |
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| 作者姓名： | 周慧燕 陈广贵 古传运 |
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| 作者单位： | 西华大学数学与计算机学院,四川成都,610039 |
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| 摘 要： | 文章研究了非线性分数阶微分方程边值问题 多个正解的存在性问题，其中D5＋是标准Riemann—I—iouville分数阶导数，且0≤β≤1，0≤α≤1，ξ∈（0，1），αξ≤1-β，0≤α-β-1，并且根据不动点理论得到其至少有三个正解的存在性定理。
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| 关 键 词： | 分数阶导数 不动点定理 正解 |
The Existence of Multiple Positive Solutions for Boundary Value Problems of Nonlinear Fractional Differential Equations |
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| ZHOU Hui-yan,CHEN Guang-gui,GU Chuan-yun. The Existence of Multiple Positive Solutions for Boundary Value Problems of Nonlinear Fractional Differential Equations[J]. Journal of Xinjiang Normal University(Natural Sciences Edition), 2012, 31(2): 77-81 |
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| Authors: | ZHOU Hui-yan CHEN Guang-gui GU Chuan-yun |
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| Affiliation: | (School of Mathematics and computer engineering,Xihua University, Chengdu,Sichuan,610039,China) |
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| Abstract: | We study the existence on multiple positive solutions for the nonlinear fractional differentialequation boundary value problem Where D0+αis the standard Riemann—Liouvill differentiationand 0≤β≤l,0≤α≤1,ξ∈（0,1）,αξα-β-2≤1-β,0≤α-β-1.By applying fixed—point theorems,we obtain the existence theorem of triple positive solutions for nonlinearfractional differential equations |
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| Keywords: | Fractional derivative,Fixed point theorem Positive solutions |
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