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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