Scholarlink

<p>Stability of fractional differential equations using the Lyapunov direct method is investigated by employing the power fractional derivative which covers various types. This analysis begins by establishing fundamental results and lemmas crucial for achieving the study’s objectives. Building on recent research, the work extends and generalizes findings related to exponential and Mittag–Leffler stability. Additionally, an illustrative example is presented to illustrate the practical applicability of these results.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Extended Lyapunov stability analysis to the power fractional differential equations

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年8月21日

查看全文
  • Adnane Boukhouima,
  • El Mehdi Lotfi,
  • Mohammad Yar

摘要

Stability of fractional differential equations using the Lyapunov direct method is investigated by employing the power fractional derivative which covers various types. This analysis begins by establishing fundamental results and lemmas crucial for achieving the study’s objectives. Building on recent research, the work extends and generalizes findings related to exponential and Mittag–Leffler stability. Additionally, an illustrative example is presented to illustrate the practical applicability of these results.