文章摘要
汤小松,刘清.一类分数阶微分方程积分三点边值问题的正解[J].井冈山大学自然版,2013,(1):11-16
一类分数阶微分方程积分三点边值问题的正解
EXISTENCE OF POSITIVE SOLUTIONS FOR A CLASS OF FRACTIONAL DIFFERENTIAL EQUATIONS OF THREE-POINT INTEGRAL BOUNDARY VALUE PROBLEM
  
DOI:
中文关键词: 分数阶微分方程  积分三点边值问题  Krasnoselskii不动点理论  正解  存在性
英文关键词: fractional differential equations  three-point integral boundary value problems  Krasnoselskii fixed-point theory  positive solution  existence
基金项目:江西省自然科学青年基金项目(20114BAB211015)
作者单位
汤小松,刘清  
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中文摘要:
      研究了一类非线性分数阶微分方程的积分三点边值问题。利用Krasnoselskii不动点理论,获得了该问题至少存在一个正解的两个充分条件。这推广了整数阶微分方程的相应结果。
英文摘要:
      We study the three-point integral boundary value problems for nonlinear fractional differential equations.Based on the Krasnoselskii fixed-point theory,we obtain two sufficient conditions for the existence of at least one positive solution for this problem.These results extend the corresponding ones of ordinary differential equations of integer order.
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