English

Approximate solution to the fractional Lane-Emden type equations

Classical Analysis and ODEs 2020-03-25 v1 Solar and Stellar Astrophysics

Abstract

In this paper, approximate solutions for a class of fractional Lane - Emden type equations based on the series expansion method are presented. Various examples are introduced and discussed. The recurrence relation for the components of the approximate solution is constructed. In the standard integer order derivative, it is shown that the results are the same as those obtained by Adomian decomposition method, homotopy perturbation method, modified Laplace decomposition method and variational iteration method.

Keywords

Cite

@article{arxiv.1705.03749,
  title  = {Approximate solution to the fractional Lane-Emden type equations},
  author = {M. I. Nouh and Emad A-B. Abdel-Salam},
  journal= {arXiv preprint arXiv:1705.03749},
  year   = {2020}
}
R2 v1 2026-06-22T19:42:59.773Z