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具有高阶分数阶导数的微分方程的积分型边值问题的正解探讨（英文） 被引量：1

Positive Solutions to Integral Boundary Value Problem of Nonlinear Differential Equations with Higher Fractional Order
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摘要 应用Guo-Krasonselskii不动点定理,探讨了非线性分数阶微分方程包括Riemann-Liouville型导数的积分型边值问题正解的存在性. By using the Guo-Krasnoselskii fixed point theorem,the existence of positive solutions for nonlinear fractional differential equations involving the Riemann-Liouville derivative with integral boundary-value conditions are investigated.
作者 郑艳萍 王文霞 刘宇民
机构地区 太原师范学院数学系
出处 《宁夏大学学报（自然科学版）》 CAS 2015年第3期219-224,共6页 Journal of Ningxia University(Natural Science Edition)
基金 Supported by the National Natural Science Foundation of China(11361047) supported by the Research Project of Shanxi Scholarship Council of China(2013-102) supported by the Natural Science Foundation of Shanxi Province(2013011001-3)~~
关键词 分数阶微分方程 积分型边值条件 正解 超(次)线性条件 fractional differential equations integral boundary conditions positive solutions superlinear（sublinear）condition
分类号 O175.6 [理学—基础数学] O175.8 [理学—基础数学]
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参考文献8

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  • 6王丽颖,许晓婕.分数阶半正边值问题一个正解的存在性定理[J].吉林大学学报（理学版）,2014,52(4):667-671. 被引量：2
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二级参考文献17

  • 1Bai Zhanbing,Lü Haishen.Positive solutions for boundary value problem of nonlinear fractional differential equation[J].J.Math.Anal.Appl.,2005,311:495-505.
  • 2Zhang Shuqin.Positive solutions to singular boundary value problem for nonlinear fractional differential equation[J].Computer and Mathematics with Applications,2010,59:1300-1309.
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宁夏大学学报（自然科学版）
2015年 第3期

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