The variational iteration method for fuzzy fractional differential equations with uncertainty

Khodadadi E., ÇELİK E.

FIXED POINT THEORY AND APPLICATIONS, ss.1-7, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1186/1687-1812-2013-13
  • Dergi Adı: FIXED POINT THEORY AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1-7
  • Anahtar Kelimeler: fuzzy number, fuzzy initial value problems, Riemann-Liouville fractional derivative, Mittag-Leffler function, variational iteration method
  • Atatürk Üniversitesi Adresli: Evet

Özet

In this paper the variational iteration method is used to solve the fractional differential equations with a fuzzy initial condition. We consider a differential equation of fractional order with uncertainty and present the concept of solution. We compared the results with their exact solutions in order to demonstrate the validity and applicability of the method.