| Banach空间中分数阶脉冲积-微分方程的e指数型Ulam-Hyers稳定性 |
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| 引用本文： | 赵彦霞,杨和. Banach空间中分数阶脉冲积-微分方程的e指数型Ulam-Hyers稳定性[J]. 吉林大学学报(理学版), 2020, 58(5): 1055-1065. DOI: 10.13413/j.cnki.jdxblxb.2019445 |
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| 作者姓名： | 赵彦霞 杨和 |
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| 作者单位： | 西北师范大学 数学与统计学院, 兰州 730070 |
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| 摘 要： | 用Krasnoselskii不动点定理和Gronwall不等式, 讨论Banach空间中分数阶脉冲积-微分方程解的存在性和唯一性问题, 得到了其解的e指数型Ulam-Hyers稳定性, 并用实例说明所得结论的适用性.
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| 关 键 词： | Caputo分数阶积-微分方程 Cauchy问题 存在性 唯一性 e指数型Ulam-Hyers稳定性 |
| 收稿时间： | 2019-12-04 |
Exp-Type Ulam-Hyers Stability of Fractional Impulsive Integro-Differential Equations in Banach Spaces |
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| ZHAO Yanxia,YANG He. Exp-Type Ulam-Hyers Stability of Fractional Impulsive Integro-Differential Equations in Banach Spaces[J]. Journal of Jilin University: Sci Ed, 2020, 58(5): 1055-1065. DOI: 10.13413/j.cnki.jdxblxb.2019445 |
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| Authors: | ZHAO Yanxia YANG He |
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| Affiliation: | College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China |
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| Abstract: | By using Krasnoselskii’s fixed point theorem and Gronwall inequality, we discussed the existence and uniqueness of solutions for fractional impulsive integro-differential equations, and obtained the exp-type Ulam-Hyers stability of these solutions. The applicability of the obtained conclusions was illustrated by an example. |
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| Keywords: | Caputo fractional integro-differential equation Cauchy problem existence uniqueness exp-type Ulam-Hyers stability |
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