The Eigenvalues and the Eigenfunctions of the Sturm-Liouville Fuzzy Problem with Fuzzy Coefficient Boundary Conditions

Abstract

In this paper, the eigenvalues and the eigenfunctions of the Sturm-Liouville fuzzy problem with fuzzy coefficient boundary conditions are examined under the approach of Hukuhara differentiability. Because of the boundary conditions have fuzzy coefficient, it is found that the eigenvalues depend on alpha. Therefore, different eigenvalues are obtained for each a on [0,1).