Homogeneous fuzzy wave equation on the half-line under generalized Hukuhara differentiability
الموضوعات :
S. Rahimi Charmhini
1
(Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran)
M. S. Asgari
2
(Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran)
الکلمات المفتاحية: Generalized Hukuhara differentiability, fuzzy partial differential equation, fuzzy wave equation, Leibniz rule,
ملخص المقالة :
An analytical fuzzy solution is achieved by means of the fuzzy d'Alembert formula for the fuzzy one-dimensional homogeneous wave equation in a half-line considering the generalized Hukuhara partial differentiability of the solution. In the current article, the exclusive solution and the stability of the homogeneous fuzzy wave equations are brought into existence. Eventually, given the various instances represented, the efficacy and accuracy of the method are scrutinized.
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