Two efficient methods for solving fractional Lane–Emden equations with conformable fractional derivative | ||
| Journal of the Egyptian Mathematical Society | ||
| Volume 28, Issue 1, June 2020, Pages 1-11 PDF (613.07 K) | ||
| DOI: 10.1186/s42787-020-00099-z | ||
| Authors | ||
| Adyan M. Malik; Osama H. Mohammed | ||
| Dept. of Math. and Comp. Appl., Al-Nahrain University, Baghdad, 64055, Iraq | ||
| Abstract | ||
| In this paper, we introduce two reliable efficient approximate methods for solving a class of fractional Lane–Emden equations with conformable fractional derivative (CL-M) which are the so-called conformable Homotopy–Adomian decomposition method (CH-A) and conformable residual power series method (CRP). Furthermore, the proposed methods express the solutions of the non-linear cases of the CL-M in terms of fractional convergent series in which its components can be computed in an easy manner. Finally, the results are given by graphs for each case of the CL-M at different values of α in order to demonstrate its accuracy, applicability, and efficiency. | ||
| Keywords | ||
| Fractional Lane–Emden equations; HAM; Residual power series | ||
|
Statistics Article View: 47 PDF Download: 24 |
||
