Title of article :
The fuzzy D’Alembert solutions of the fuzzy wave equation under generalized differentiability
Author/Authors :
Miri Karbasaki ، Mohsen Department of Mathematics - Islamic Azad University, Kerman Branch , Balooch Shahriari ، Mohammad Reza Department of Mathematics - Islamic Azad University, Kerman Branch , Sedaghatfar ، Omolbanin Department of Mathematics - Islamic Azad University,Tehran branch
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 di erentiability. 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.
Keywords :
Generalized Hukuhara di erentiability , Fuzzy partial differentialerential equation , Fuzzy wave equation , Fuzzy D Alembert method
Journal title :
Journal of Mahani Mathematical Research Center
Journal title :
Journal of Mahani Mathematical Research Center
