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一类积分边界条件下奇异分数微分方程边值问题正解的存在性

Existence of positive solution for a class singular of nonlinear fractional differential equations
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摘要 考虑(n-1,1)型积分边界条件下奇异非线性分数微分方程边值问题.运用半序集上的不动点定理研究其正解的存在性和唯一性. In this paper,by utilizing a result from the fixed point theorem in partially ordered sets,the existence and uniqueness of positive solution for the boundary value problem of（n-1,1）-type nonlinear fractional differential equations with integral boundary condition are given.
作者 王璐
机构地区 徐州师范大学数学科学学院
出处 《徐州师范大学学报（自然科学版）》 CAS 2012年第1期18-23,共6页 Journal of Xuzhou Normal University(Natural Science Edition)
基金 国家自然科学基金资助项目(11171286)
关键词 分数微分方程 边值问题 正解 fractional differential equation boundary value problem positive solution
分类号 O175.8 [理学—基础数学]
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参考文献15

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徐州师范大学学报（自然科学版）
2012年 第1期

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