On the Perturbation-Iteration Algorithm for fractional differential equations

Şenol M., Timuçin Dolapci I.

Journal of King Saud University - Science, vol.28, no.1, pp.69-74, 2016 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 28 Issue: 1
  • Publication Date: 2016
  • Doi Number: 10.1016/j.jksus.2015.09.005
  • Journal Name: Journal of King Saud University - Science
  • Journal Indexes: Scopus
  • Page Numbers: pp.69-74
  • Keywords: Caputo fractional derivative, Fractional differential equations, Initial value problems, Perturbation-Iteration method
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

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.