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In this investigation, we focus on a fuzzy nonlinear Atangana Baleau Caputo fractional coupled equation. Following a discussion of numerous significant concepts on the fuzzy $ABC$ operator, various novel and readily demonstrable adequate solvability conditions are found. We even more show that our main problem is stable under generalized Ulam Hyers (GUH). Lastly, a case study is used to show the accessibility of our primary findings.

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Solvability and GUH Stability Results of Fuzzy Nonlinear ABC-Fractional Coupled System

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  • 发表日期：

    2025年

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  • Aziz El Ghazouani,
  • M’Hamed Elomari,
  • Said Melliani

摘要

In this investigation, we focus on a fuzzy nonlinear Atangana Baleau Caputo fractional coupled equation. Following a discussion of numerous significant concepts on the fuzzy $ABC$ operator, various novel and readily demonstrable adequate solvability conditions are found. We even more show that our main problem is stable under generalized Ulam Hyers (GUH). Lastly, a case study is used to show the accessibility of our primary findings.