Research article

On the Ulam stability of fuzzy differential equations

  • Received: 10 April 2020 Accepted: 20 July 2020 Published: 23 July 2020
  • MSC : 03E72, 34D99, 34G99

  • Ulam stability problems have received considerable attention in the field of differential equations. However, how to effectively build the fuzzy model for Ulam stability problems is less attractive due to varies of differentiabilities requirements. The paper discusses the Ulam stability of fuzzy differential equations in Banach spaces. After introducing the new definitions of differentiabilities for fuzzy number-valued mappings, we give some important properties about these differentiabilities. On these bases, with different differentiabilities and conditions, we prove the Ulam stability of three kinds of fuzzy differential equations. The obtained conclusions generalize the existing results.

    Citation: Zhenyu Jin, Jianrong Wu. On the Ulam stability of fuzzy differential equations[J]. AIMS Mathematics, 2020, 5(6): 6006-6019. doi: 10.3934/math.2020384

    Related Papers:

  • Ulam stability problems have received considerable attention in the field of differential equations. However, how to effectively build the fuzzy model for Ulam stability problems is less attractive due to varies of differentiabilities requirements. The paper discusses the Ulam stability of fuzzy differential equations in Banach spaces. After introducing the new definitions of differentiabilities for fuzzy number-valued mappings, we give some important properties about these differentiabilities. On these bases, with different differentiabilities and conditions, we prove the Ulam stability of three kinds of fuzzy differential equations. The obtained conclusions generalize the existing results.


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