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非线性分数阶微分方程组奇异对偶系统正解的存在性 被引量：5

The Existence of a Positive Solution for a Singular Coupled System of Nonlinear Fractional Differential Equations
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摘要 分别应用锥上Leray-Schauder非线性抉择定理和Krasnoselskii’s不动点定理证明了非线性分数阶微分方程奇异对偶系统正解的存在性. In this paper,the existence of positive solution to singular coupled system of nonlinear fractional differential equations is proved,by applying a nonlinear alternative of Leray-Schauder type and Krasnoselskii＇ s fixed point theorem in a cone.
作者 张稳根 胡卫敏 刘刚
机构地区 伊犁师范学院数学与统计学院
出处 《四川师范大学学报（自然科学版）》 CAS CSCD 北大核心 2013年第6期887-892,共6页 Journal of Sichuan Normal University（Natural Science）
基金 新疆维吾尔自治区自然科学基金(201318101-14)资助项目
关键词 奇异 非线性分数阶微分方程 正解 锥不动点定理 singular nonlinear fractional differential equation positive solution fixed point theorem in cones
分类号 O175.14 [理学—基础数学]
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参考文献13

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二级参考文献3

共引文献24

同被引文献57

  • 1Liu Y J, Patricia J Y. Unbounded solutions of BVP for second order ODE with p - Laplation on the half - line [ J ]. Appl Math,2013,58 : 179 - 204.
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引证文献5

二级引证文献12

四川师范大学学报（自然科学版）
2013年 第6期

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