On the Perturbation-Iteration Algorithm for fractional differential equations

Şenol M., Timuçin Dolapci I.

Journal of King Saud University - Science, cilt.28, sa.1, ss.69-74, 2016 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 28 Sayı: 1
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1016/j.jksus.2015.09.005
  • Dergi Adı: Journal of King Saud University - Science
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.69-74
  • Anahtar Kelimeler: Caputo fractional derivative, Fractional differential equations, Initial value problems, Perturbation-Iteration method
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

In this study, Perturbation-Iteration Algorithm, namely PIA, is applied to solve some types of fractional differential equations (FDEs) for the first time. To illustrate the efficiency of the method, numerical solutions are compared with the results published in the literature by considering some FDEs. The results confirm that the PIA is a powerful, efficient and accurate method for solving nonlinear fractional differential equations.