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<p>This paper investigates the existence, uniqueness, continuous dependence, and Ulam–Hyers stability (UHs) for a class of fuzzy systems. First, we explore the existence using the Schauder fixed-point theorem. Subsequently, we establish the uniqueness via the Banach contraction principle. Furthermore, we derive two theorems concerning the continuous dependence and make a comparison. Finally, we establish a UHs result of the addressed system using generalized Grönwall inequality. An example is included to demonstrate our results.</p>

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Well-Posedness and Ulam–Hyers Stability of Conformable Fuzzy Evolution Equations with Delay

  • 期刊论文

  • 发表日期：

    2025年12月2日

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  • Jinjian Huo,
  • Min Yang,
  • Donal O’Regan

摘要

This paper investigates the existence, uniqueness, continuous dependence, and Ulam–Hyers stability (UHs) for a class of fuzzy systems. First, we explore the existence using the Schauder fixed-point theorem. Subsequently, we establish the uniqueness via the Banach contraction principle. Furthermore, we derive two theorems concerning the continuous dependence and make a comparison. Finally, we establish a UHs result of the addressed system using generalized Grönwall inequality. An example is included to demonstrate our results.