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Solving interactive fuzzy initial value problem via fuzzy Laplace transform - MaRDI portal

Solving interactive fuzzy initial value problem via fuzzy Laplace transform (Q2027720)

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scientific article; zbMATH DE number 7351853
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Solving interactive fuzzy initial value problem via fuzzy Laplace transform
scientific article; zbMATH DE number 7351853

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    Solving interactive fuzzy initial value problem via fuzzy Laplace transform (English)
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    28 May 2021
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    In this work, the fuzzy Laplace transform combined with the notion of L-differentiability is investigated. For this purpose, authors use an interactive relationship between fuzzy numbers called linear correlation. Also, the authors consider four possible cases to find a fuzzy solution for a linear first order fuzzy initial value problem (FIVP) with an initial condition given by a fuzzy number and obtained expansive and contractive fuzzy solutions. In all cases, the state variables and first order L-derivatives are well-defined and satisfies the differential equation of the FIVP.
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    fuzzy set
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    fuzzy Laplace transform
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    \(L\)-differentiability
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    interactive fuzzy initial value problem
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