Sturm-Liouville Fuzzy Problem with Fuzzy Eigenvalue Parameter

Subject Areas : International Journal of Mathematical Modelling & Computations

Hülya  Gültekin Çitil ¹ (Department of Mathematics, Faculty of Arts and Sciences, Giresun University, Giresun, Turkey.)

Received: 2019-07-30 Accepted : 2019-09-20 Published : 2019-09-30

Keywords: fuzzy logic, Sturm-Liouville problem, Fuzzy eigenvalue, Fuzzy eigenfunction,

Abstract :

This study is on the fuzzy eigenvalues and fuzzy eigenfunctions of the Sturm-Liouville fuzzy problem with fuzzy eigenvalue parameter. We find fuzzy eigenvalues and fuzzy eigenfunctions of the problem under the approach of Hukuhara differentiability. We solve an example. We draw the graphics of eigenfunctions. We show that eigenfunctions are valid fuzzy functions or not.