| 一类分数阶微分方程边值问题三重正解的存在性 |
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| 引用本文： | 刘洋,巴哈尔古力,胡卫敏.一类分数阶微分方程边值问题三重正解的存在性[J].数学的实践与认识,2013,43(6). |
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| 作者姓名： | 刘洋 巴哈尔古力 胡卫敏 |
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| 作者单位： | 伊犁师范学院数学与统计学院,新疆伊宁,835000 |
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| 基金项目： | 新疆普通高校重点培育学科基金 |
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| 摘 要： | 讨论了非线性分数阶微分方程的两点边值问题.其导数是Riemann-Liouville型分数阶导数,应用推广了的双锥不动点定理,证明其在L(0,1)中存在三重正解.
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| 关 键 词： | 分数阶微分方程 边值问题 正解 |
Triple Positive Solutions for Boundary Value Problem of Nonlinear Fractional Functional Differential Equations |
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| LIU Yang
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Bahaerguli
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HU Wei-min.Triple Positive Solutions for Boundary Value Problem of Nonlinear Fractional Functional Differential Equations[J].Mathematics in Practice and Theory,2013,43(6). |
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| Authors: | LIU Yang Bahaerguli HU Wei-min |
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| Abstract: | This paper deal with a nonlinear fractional differential equation with Riemann-Liouville derivative.By means of a two-cone generalized fixed-point theorem,an existence result of triple positive solutions for two-point boundary value problem of nonlinear fractional differential equation is obtained. |
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| Keywords: | fractional differential equation boundary value problem positive solutions |
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