| 一类非线性分数阶微分方程正解的存在性 |
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| 引用本文： | 施敏. 一类非线性分数阶微分方程正解的存在性[J]. 吉首大学学报(自然科学版), 2018, 39(5): 8. DOI: 10.13438/j.cnki.jdzk.2018.05.003 |
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| 作者姓名： | 施敏 |
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| 作者单位： | （南京财经大学应用数学学院，江苏 南京 210023） |
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| 摘 要： | 对一类具有积分边值条件的Caputo型非线性分数阶微分方程的阶及其边值条件进行了推广，并利用Guo-Krasnoselskii不动点定理给出了该分数阶微分方程正解的存在条件.
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| 关 键 词： | 分数阶微分方程 积分边值条件 正解 Guo-Krasnoselskii不动点定理 |
Existence of Positive Solutions of Nonlinear Fractional Differential Equations |
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| SHI Min. Existence of Positive Solutions of Nonlinear Fractional Differential Equations[J]. Journal of Jishou University(Natural Science Edition), 2018, 39(5): 8. DOI: 10.13438/j.cnki.jdzk.2018.05.003 |
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| Authors: | SHI Min |
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| Affiliation: | (School of Applied Mathematics,Nanjing University of Finance and Economics,Nanjing 210023,China) |
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| Abstract: | A class of Caputo nonlinear fractional differential equations with integral boundary conditions in document [1] is generalized in terms of the order and the boundary conditions,and the conditions for the existence of positive solutions of the fractional differential equations are given through Guo-Krasnoselskii fixed point theorem. |
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| Keywords: | fractional differential equations integral boundary conditions positive solution Guo-Krasnoselskii fixed point theorem |
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