THE EIGENVALUES AND THE EIGENFUNCTIONS OF THE STURM-LIOUVILLE FUZZY PROBLEM WITH FUZZY COEFFICIENT BOUNDARY CONDITIONS

ÇİTİL H. G., Altınışık N.

JOURNAL OF SCIENCE AND ARTS, no.4, pp.947-958, 2018 (ESCI) identifier

  • Publication Type: Article / Article
  • Publication Date: 2018
  • Journal Name: JOURNAL OF SCIENCE AND ARTS
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.947-958
  • Keywords: Fuzzy boundary value problems, Second-order fuzzy differential equations, Hukuhara differentiability, DIFFERENTIAL-EQUATIONS
  • Ondokuz Mayıs University Affiliated: Yes

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).