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一类分数阶微分方程积分三点边值问题的正解 被引量：2

EXISTENCE OF POSITIVE SOLUTIONS FOR A CLASS OF FRACTIONAL DIFFERENTIAL EQUATIONS OF THREE-POINT INTEGRAL BOUNDARY VALUE PROBLEM
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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。 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.
作者 汤小松 刘清
机构地区 井冈山大学数理学院 井冈山大学电子与信息工程学院
出处 《井冈山大学学报（自然科学版）》 2013年第1期11-16,共6页 Journal of Jinggangshan University (Natural Science)
基金 江西省自然科学青年基金项目(20114BAB211015)
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 fractional differential equations three-point integral boundary value problems Krasnoselskii fixed-point theory positive solution existence
分类号 O175.8 [理学—基础数学]
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参考文献17

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同被引文献20

  • 1蔡新,刘发旺.解空间Riesz分数阶扩散方程的一种数值方法[J].高等学校计算数学学报,2005,27(S1):242-246. 被引量：4
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  • 7Bai Z,Lü H.Positive solutions for boundary value problem of nonlinear fractional differential equation[J].J Math Anal Appl,2005,311:495-505.
  • 8Zhang S.Positive solution for boundary value problem of nonlinear fractional differential equations[J].Electron J Diff Eqns,2006,36:1-12.
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  • 10Yang W.Positive solutions for a coupled system of nonlinear fractional differential equations with integral boundary conditions[J].Comput Math Appl,2012,63 (1):288-297.

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井冈山大学学报（自然科学版）
2013年 第1期

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