A ‎S‎tudy on Analytical Solutions of the Fuzzy Partial Differential ‎Equations

Subject Areas : International Journal of Industrial Mathematics

راضیه قاسمی مقدم ¹ , سعید عباسبندی ² , محسن رستمی مال خلیفه ³

1 - Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.
2 - Department of Applied Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran.
3 - Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.

Received: 2019-11-04 Accepted : 2020-02-25 Published : 2020-08-01

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

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.