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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:O159 |
| 基金项目:江苏省研究生科研与实践创新计划项目 |
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| ULAM-HYERS STABILITY OF SOLUTIONS TO CAPUTO FRACTIONAL FUZZY DELAY DIFFERENTIAL EQUATIONS WITH PERIODIC BOUNDARY CONDITIONS |
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lirong,yeguoju
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| Abstract: |
| This paper mainly studies a class of Caputo fractional fuzzy delay differential equations with periodic boundary conditions under granularity differentiability. 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 Differential Equation Delay Ulam-Hyers Stability Boundary Value Problem Granular Differentiability |
