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| 摘要: |
| 本文主要在粒度可微性下研究了一类带有周期边值条件的Caputo型分数阶模糊时滞微分方程.通过Banach压缩映射原理,我们证明了该方程解的存在唯一性,进一步借助Gronwall不等式证明了解的Ulam-Hyers稳定性. |
| 关键词: 分数阶模糊微分方程 时滞 Ulam-Hyers稳定性 周期边值问题 粒度可微性 |
| DOI： |
| 分类号:O175.8 |
| 基金项目:江苏省研究生科研与实践创新计划项目(KYCX23 0668). |
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| ULAM-HYERS STABILITY OF SOLUTIONS TO CAPUTO FRACTIONAL FUZZY DELAY DIFFERENTIAL EQUATIONS WITH PERIODIC BOUNDARY CONDITIONS |
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LI Rong,YE Guo-ju,LIU Wei
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| Abstract: |
| This paper mainly studies a class of Caputo fractional fuzzy delay difierential equations with periodic boundary conditions under granular difierentiability. Through the Banach compression mapping principle, we have proven the existence and uniqueness of the solution to the equation, and further proved the Ulam-Hyers stability of the solution by using Gronwall inequality. |
| Key words: fractional fuzzy difierential equation delay Ulam-Hyers stability boundary value problem granular difierentiability |
