A ‎S‎tudy on Analytical Solutions of the Fuzzy Partial Differential ‎Equations

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.

Keywords:

L‎inear fuzzy Transport equation , The fuzzy Wave equation , Traveling wave fuzzy solution , d'Alembert's formula , Generalized partial Hukuhara ‎differentiability.‎

Authors

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.

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https://civilica.com/doc/1886957

شناسه ملی سند علمی:

JR_IJIM-12-4_010

تاریخ نمایه سازی: 26 دی 1402

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Ghasemi Moghaddam, R. and Abbasbandy, S. and Rostamy-Malkhalifeh, M.,1399,A ‎S‎tudy on Analytical Solutions of the Fuzzy Partial Differential ‎Equations,https://civilica.com/doc/1886957

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Type of center: Azad University

Paper count: 50,635

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