| 含类分数阶Hukuhara导数集值积分微分方程的稳定性 |
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| 引用本文： | 王培光,毕佳慧,鲍俊艳.含类分数阶Hukuhara导数集值积分微分方程的稳定性[J].河北大学学报(自然科学版),2023,43(1):1-8. |
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| 作者姓名： | 王培光 毕佳慧 鲍俊艳 |
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| 作者单位： | 河北大学数学与信息科学学院 |
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| 基金项目： | 国家自然科学基金资助项目(12171135);河北省自然科学基金重点资助项目(A2020201021) |
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| 摘 要： | 讨论了一类特殊的集值积分微分方程的稳定性.通过类Lyapunov函数和比较原理，得到了一类特殊的方程解的等度稳定性、一致稳定性、等度渐近稳定性和严格稳定性准则.
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| 关 键 词： | 集值微分方程 类分数阶Hukuhara导数 广义Dini导数 稳定性 |
| 收稿时间： | 2022-04-25 |
Stability of set-valued integral differential equations with fractional-like Hukuhara derivatives |
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| WANG Peiguang,BI Jiahui,BAO Junyan.Stability of set-valued integral differential equations with fractional-like Hukuhara derivatives[J].Journal of Hebei University (Natural Science Edition),2023,43(1):1-8. |
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| Authors: | WANG Peiguang BI Jiahui BAO Junyan |
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| Institution: | College of Mathematics and Information Science, Hebei University, Baoding 071002, China |
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| Abstract: | The stability of set-valued integral differential equations with fractional-like Hukuhara derivatives was investigated. The criteria of equistability, uniform stability, equiasymptotic stability and strictly stability of the solutions are obtained by using Lyapunov-like functions and the new comparison principle. |
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| Keywords: | set-valued differential equations fractional-like Hukuhara derivatives generalized Dini derivatives stability |
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