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

Document Type : Research Paper

Authors

1 Department of Mathematics, Kerman Branch, Islamic Azad University, Kerman, Iran

2 Department of Mathematics, Islamic Azad University, Tehran, Iran

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.

Keywords

References

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History

  • Receive Date: 11 January 2022
  • Revise Date: 06 May 2022
  • Accept Date: 13 June 2022

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