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.
Malik, A., & Mohammed, O. (2020). Two efficient methods for solving fractional Lane–Emden equations with conformable fractional derivative. Journal of the Egyptian Mathematical Society, 28(1), 1-11. doi: 10.1186/s42787-020-00099-z
MLA
Adyan M. Malik; Osama H. Mohammed. "Two efficient methods for solving fractional Lane–Emden equations with conformable fractional derivative", Journal of the Egyptian Mathematical Society, 28, 1, 2020, 1-11. doi: 10.1186/s42787-020-00099-z
HARVARD
Malik, A., Mohammed, O. (2020). 'Two efficient methods for solving fractional Lane–Emden equations with conformable fractional derivative', Journal of the Egyptian Mathematical Society, 28(1), pp. 1-11. doi: 10.1186/s42787-020-00099-z
VANCOUVER
Malik, A., Mohammed, O. Two efficient methods for solving fractional Lane–Emden equations with conformable fractional derivative. Journal of the Egyptian Mathematical Society, 2020; 28(1): 1-11. doi: 10.1186/s42787-020-00099-z