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A Study on Analytical Solutions of the Fuzzy Partial Differential Equations | ||
International Journal of Industrial Mathematics | ||
دوره 12، شماره 4، آبان 2020، صفحه 419-429 اصل مقاله (427.54 K) | ||
نوع مقاله: Research Paper | ||
نویسندگان | ||
R. Ghasemi Moghaddam1؛ S. Abbasbandy 2؛ M. Rostamy-Malkhalifeh1 | ||
1Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran. | ||
2Department of Applied Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran. | ||
چکیده | ||
In the present paper, we obtain the traveling wave fuzzy solution for the fuzzy linear Transport equation and the fuzzy Wave equation by considering the type of generalized Hukuhara differentiability. The d'Alembert's formulas for the fuzzy Wave equation obtained by Considering the type of gH-differentiability of the solution. Also, The existence and the uniqueness of these solutions and the stability of the fuzzy Wave equation are shown. | ||
کلیدواژهها | ||
Linear fuzzy Transport equation؛ The fuzzy Wave equation؛ Traveling wave fuzzy solution؛ d'Alembert's formula؛ Generalized partial Hukuhara differentiability. | ||
آمار تعداد مشاهده مقاله: 239 تعداد دریافت فایل اصل مقاله: 312 |