Homogeneous fuzzy wave equation on the half-line under generalized Hukuhara differentiability

Subject Areas : Fuzzy, Fuzzy logic, Fuzzy system

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)

Received: 2022-06-28 Accepted : 2022-12-27 Published : 2022-12-01

Keywords: Generalized Hukuhara differentiability, fuzzy partial differential equation, fuzzy wave equation, Leibniz rule,

Abstract :

‎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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