Scholarlink

<p>This paper investigates the strict stability of multi-term non-impulsive pseudo-fractional differential equations defined with respect to different kernel functions. By employing Caputo-type fractional derivatives, we extend stability concepts from impulsive systems to the non-impulsive framework. Lyapunov-like functions are constructed to derive sufficient conditions that ensure strict stability. Moreover, comparison principles are established to relate the associated fractional operators to explicit stability bounds. An illustrative example is presented to illustrate the effectiveness of the theoretical results and to highlight the influence of the multi-term structure on the stability behavior of the system.</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

Lyapunov-based strict stability results for multi-term pseudo-fractional differential equations

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年8月4日

查看全文
  • Tahira Jabeen,
  • Ramla Usama,
  • Adil Jhangeer,
  • Muhammad Muddassar,
  • Hüseyin Budak,
  • Hafiz Muhammad Musharaf

摘要

This paper investigates the strict stability of multi-term non-impulsive pseudo-fractional differential equations defined with respect to different kernel functions. By employing Caputo-type fractional derivatives, we extend stability concepts from impulsive systems to the non-impulsive framework. Lyapunov-like functions are constructed to derive sufficient conditions that ensure strict stability. Moreover, comparison principles are established to relate the associated fractional operators to explicit stability bounds. An illustrative example is presented to illustrate the effectiveness of the theoretical results and to highlight the influence of the multi-term structure on the stability behavior of the system.