The fuzzy D'Alembert solutions of the fuzzy wave equation under generalized differentiability

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Miri Karbasaki Mohsen; Balooch Shahriari Mohammad Reza; Sedaghatfar Omolbanin

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Journal Paper

Paper Information

Journal: Journal of Mahani Mathematical Research Year:2023 | Volume:12 | Issue:1 Page(s): 91-126

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Title

The fuzzy D'Alembert solutions of the fuzzy wave equation under generalized differentiability

Author(s)

Miri Karbasaki Mohsen | Balooch Shahriari Mohammad Reza | Sedaghatfar Omolbanin | Issue Writer Certificate

Keywords

Generalized Hukuhara differentiability

Fuzzy partial differential equation

Fuzzy wave equation

Fuzzy D'Alembert method

Abstract

In this paper, a one-dimensional homogeneous Fuzzy wave equation is solved with an analytical procedure using the fuzzy D’Alembert method by considering the generalized differentiability. Then, some definitions related to fuzzy numbers, theorems, and used lemmas are given. Additionally, the physical interpretation and dependency domain of fuzzy wave solutions are investigated by providing examples, where the fuzzy wave solutions are in the form of fuzzy standing, traveling, and recursive waves. The abstract of this article was presented in the 9th Iranian Joint Congress on Fuzzy and Intelligent Systems (2022, March 2-4), Bam, Kerman, Iran

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