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<p>In this paper, we define the variational stability of trivial solution for the generalized fuzzy differential equations (GFDEs). Also, we prove an important integral inequality for fuzzy Henstock integral. Using the integral inequality we obtain the Lyapunov type theorems of variational stability of trivial solution for the GFDEs. Finally, we prove the converse Lyapunov theorems by using a kind of function.</p>

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On variational stability for generalized fuzzy differential equations based on fuzzy Henstock integrals

  • 期刊论文

  • 发表日期：

    2025年8月19日

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  • Yabin Shao,
  • Yang Li,
  • Jiarui Cheng

摘要

In this paper, we define the variational stability of trivial solution for the generalized fuzzy differential equations (GFDEs). Also, we prove an important integral inequality for fuzzy Henstock integral. Using the integral inequality we obtain the Lyapunov type theorems of variational stability of trivial solution for the GFDEs. Finally, we prove the converse Lyapunov theorems by using a kind of function.