A Study on Analytical Solutions of the Fuzzy Partial Differential Equations
سال انتشار: 1399
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 145
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شناسه ملی سند علمی:
JR_IJIM-12-4_010
تاریخ نمایه سازی: 26 دی 1402
چکیده مقاله:
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.
کلیدواژه ها:
Linear fuzzy Transport equation ، The fuzzy Wave equation ، Traveling wave fuzzy solution ، d'Alembert's formula ، Generalized partial Hukuhara differentiability.
نویسندگان
R. Ghasemi Moghaddam
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.
S. Abbasbandy
Department of Applied Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran.
M. Rostamy-Malkhalifeh
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.