: A comparative study of Adomian decomposition and Daftardar-Gejji iterative methods for fractional differential problems

Authors

  • Hanane Chinoune Applied Mathematics Laboratory, Kasdi Merbah University, BP511, Ouargla, 30000, Algeria.
  • Brahim Tellab Applied Mathematics Laboratory, Kasdi Merbah University, BP511, Ouargla, 30000, Algeria. https://orcid.org/0000-0002-9969-3999

Abstract

In the present work, two numerical methods are considered, the first one is the Adomian decomposition method (ADM). The second is an Dafterdar-Gejji and Jafar method (DGJIM). These two methods aim to compute approximate solutions for a class of fractional differential equations with initial conditions. To see the effectiveness of these numerical approachs,  we illustrate our analytical results with some numerical examples.

Downloads

Published

2026-08-30

Issue

Vol. 33 No. 3 (2026): Nonlinear Studies

Section

Articles

License

Copyright (c) 2026 Hanane Chinoune, Brahim Tellab

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

: A comparative study of Adomian decomposition and Daftardar-Gejji iterative methods for fractional differential problems. (2026). Nonlinear Studies, 33(3), 877-894. https://www.nonlinearstudies.com/index.php/nonlinear/article/view/4098