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Solution to the Bessel differential equation with interactive fuzzy boundary conditions
Fecha
2022-02-01Registro en:
Computational and Applied Mathematics, v. 41, n. 1, 2022.
1807-0302
2238-3603
10.1007/s40314-021-01695-0
2-s2.0-85120044396
Autor
University Austral of Chile
Universidade Estadual Paulista (UNESP)
Universidade Estadual de Campinas (UNICAMP)
Brazilian Center for Research in Energy and Materials
Institución
Resumen
In this paper we deal with the fuzzy boundary value problem of the Bessel differential equation, whose boundary conditions are uncertain and given by linearly interactive fuzzy numbers. The Bessel differential equation can be considered in order to model wave and heat propagation problems. The fuzzy solution is obtained from the sup-J extension principle. We show that the sup-J extension provides proper fuzzy solution for the Bessel differential equation. In addition, we study the advantages of the proposed approach with others well known methods, such as the solutions based on the Zadeh extension principle and the solutions derived from the generalized Hukuhara derivative.