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

Journal of Linear and Topological Algebra

دوره 11، شماره 04، اسفند 2022، صفحه 253-264   

نوع مقاله: Research Paper

شناسه دیجیتال (DOI): 10.30495/jlta.2022.699082

نویسندگان

S. Rahimi Charmhini؛ M. S. Asgari^*

Department of Mathematics‎, ‎Central Tehran Branch‎, ‎Islamic Azad University‎, ‎Tehran‎, ‎Iran

چکیده

‎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.

کلیدواژه‌ها

Generalized Hukuhara differentiability؛ fuzzy partial differential equation؛ fuzzy Wave equation؛ Leibniz Rule

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