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The fuzzy D'Alembert solutions of the fuzzy wave equation under generalized differentiability | ||
| Journal of Mahani Mathematical Research | ||
| دوره 12، شماره 1 - شماره پیاپی 24، فروردین 2023، صفحه 91-126 اصل مقاله (578.56 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmr.2022.18845.1194 | ||
| نویسندگان | ||
| Mohsen Miri Karbasaki1؛ Mohammad Reza Balooch Shahriari* 2؛ Omolbanin Sedaghatfar3 | ||
| 1Department of Mathematics, Kerman Branch, Islamic Azad University, Kerman, Iran | ||
| 2Department of Mathematics, Kerman Branch, Islamic Azad University, Kerman, Iran | ||
| 3Department of Mathematics, Islamic Azad University, Tehran, Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Generalized Hukuhara differentiability؛ Fuzzy partial differential equation؛ Fuzzy wave equation؛ Fuzzy D'Alembert method | ||
| مراجع | ||
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