| 一类非线性奇异分数阶微分方程解的存在唯一性 |
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| 引用本文： | 姜聪颖,侯成敏.一类非线性奇异分数阶微分方程解的存在唯一性[J].延边大学理工学报,2020,0(4):283-288. |
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| 作者姓名： | 姜聪颖 侯成敏 |
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| 作者单位： | ( 延边大学 理学院, 吉林 延吉 133002 ) |
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| 摘 要： | 研究了一类非线性奇异分数阶微分方程的边值问题: 首先利用Banach不动点定理和Schauder不动点定理得到了此类非线性分数阶微分方程解的存在性和唯一性的相关结论和定理,然后利用两个实例验证了文中所得的主要结论.
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| 关 键 词： | 边值问题 奇异分数阶微分方程 Caputo分数阶导数 Banach不动点定理 Schauder不动点定理 |
Existence and uniqueness of solutions for a class of nonlinear singular fractional differential equations |
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| JIANG Congying,HOU Chengmin.Existence and uniqueness of solutions for a class of nonlinear singular fractional differential equations[J].Journal of Yanbian University (Natural Science),2020,0(4):283-288. |
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| Authors: | JIANG Congying HOU Chengmin |
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| Affiliation: | ( College of Science, Yanbian University, Yanji 133002, China ) |
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| Abstract: | We study a class of boundary value problems of nonlinear singular fractional differential equations:Firstly, Banach fixed point theorem and Schauder fixed point theorem are used to obtain relevant conclusions and theorems about the existence and uniqueness of solutions of such nonlinear fractional differential equations, and then the main conclusions obtained in this paper are verified by two examples. |
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| Keywords: | boundary value problem singular fractional differential equation Caputo fractional derivative Banach fixed point theorem Schauder fixed point theorem |
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