Two efficient methods for solving fractional Lane–Emden equations with conformable fractional derivative

Authors

Dept. of Math. and Comp. Appl., Al-Nahrain University, Baghdad, 64055, Iraq

https://doi.org/10.1186/s42787-020-00099-z

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.

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