Title of article
A Study on Analytical Solutions of the Fuzzy Partial Differential Equations
Author/Authors
Ghasemi Moghaddam, R. Department of Mathematics - Science and Research Branch Islamic Azad University, Tehran, Iran , Abbasbandy, S. Department of Applied Mathematics - Faculty of Science - Imam Khomeini International University, Qazvin, Iran , Rostamy-Malkhalifeh, M. Department of Mathematics - Science and Research Branch Islamic Azad University, Tehran, Iran
Pages
11
From page
419
To page
429
Abstract
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
Journal title
International Journal of Industrial Mathematics(IJIM)
Serial Year
2020
Record number
2524080
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