Solving fuzzy fractional partial differential equations by fuzzy Laplace-Fourier transforms

KHODADADI E., KARABACAK M.

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, cilt.19, sa.2, ss.260-271, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 19 Sayı: 2
  • Basım Tarihi: 2015
  • Dergi Adı: JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.260-271
  • Atatürk Üniversitesi Adresli: Evet

Özet

In this paper, the solutions of linear fuzzy fractional partial differential equations (FFPDEs) under Caputo-type H-differentiability have been investigated. To this end, the fuzzy Laplace and fuzzy Fourier transform were used to obtain the solutions of FFPDEs. Then, some new results regarding the relation between some types of differentiability have been obtained. Finally, some applicable examples are solved in order to show the ability of the proposed method.