| 一类分数阶微分方程边值问题解的存在唯一性 |
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| 引用本文： | 黎逸云,谢景力. 一类分数阶微分方程边值问题解的存在唯一性[J]. 吉首大学学报(自然科学版), 2022, 43(3): 1-6. DOI: 10.13438/j.cnki.jdzk.2022.03.001 |
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| 作者姓名： | 黎逸云 谢景力 |
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| 作者单位： | (吉首大学数学与统计学院,湖南 吉首 416000) |
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| 基金项目： | 湖南省教育厅科学研究项目(21C0373);吉首大学科学研究项目(JDY21011) |
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| 摘 要： | 运用Banach压缩映射原理和Krasnoselskii's不动点定理，得到了具有Caputo和Hilfer-Hadamard型分数阶导数的非线性分数阶微分方程非局部边值问题解的存在唯一性.
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| 关 键 词： | 分数阶微分方程 Banach压缩映射原理 Krasnoselskii's不动点定理 非局部边值问题 |
Existence and Uniqueness of Solutions for a Class of Fractional Differential Equations with Boundary Value Problems |
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| LI Yiyun,XIE Jingli. Existence and Uniqueness of Solutions for a Class of Fractional Differential Equations with Boundary Value Problems[J]. Journal of Jishou University(Natural Science Edition), 2022, 43(3): 1-6. DOI: 10.13438/j.cnki.jdzk.2022.03.001 |
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| Authors: | LI Yiyun XIE Jingli |
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| Affiliation: | (College of Mathematics and Statistics,Jishou University,Jishou 416000,Hunan China) |
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| Abstract: | With Banach contraction mapping principle and Krasnoselskii's fixed point theorem,we obtain the existence and uniqueness of solutions for nonlocal boundary value problems of nonlinear fractional differential equations with Caputo and Hilfer-Hadamard fractional derivative. |
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| Keywords: | fractional differential equations Banach contraction mapping principle Krasnoselskii's fixed point theorem nonlocal boundary value problem |
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