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, sa.4, ss.947-958, 2018 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2018
  • Dergi Adı: JOURNAL OF SCIENCE AND ARTS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.947-958
  • Anahtar Kelimeler: Fuzzy boundary value problems, Second-order fuzzy differential equations, Hukuhara differentiability, DIFFERENTIAL-EQUATIONS
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

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).