The Fuzzy Double Laplace Transforms and their Properties with Applications to Fuzzy Wave Equation

R. Mastani Shabestari and R. Ezzati
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R. Mastani Shabestari: Department of Mathematics, Sufian Branch, Islamic Azad University, Sufian, Iran
R. Ezzati: Department of Mathematics, Karaj Branch, Islamic Azad university, Karaj, Iran

New Mathematics and Natural Computation (NMNC), 2021, vol. 17, issue 02, 319-338

Abstract: The main focus of this paper is develop of the fuzzy double Laplace transform to solve a fuzzy wave equation. In this scheme, a fuzzy wave equation can be solved without converting it to two crisp equations. Some properties of the fuzzy Laplace transform and the fuzzy double Laplace transform are proved. The superiority and accuracy of the fuzzy double Laplace transform to wave equation are illustrated through some examples.

Keywords: Fuzzy Laplace transform; the fuzzy double Laplace transform; the fuzzy wave equation; the generalized Hukuhara partial differentiability (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S1793005721500174

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