Malik, A., Mohammed, O. (2020). Two efficient methods for solving fractional Lane–Emden equations with conformable fractional derivative. test, 28(1), 1-11. doi: 10.1186/s42787-020-00099-z
Adyan M. Malik; Osama H. Mohammed. "Two efficient methods for solving fractional Lane–Emden equations with conformable fractional derivative". test, 28, 1, 2020, 1-11. doi: 10.1186/s42787-020-00099-z
Malik, A., Mohammed, O. (2020). 'Two efficient methods for solving fractional Lane–Emden equations with conformable fractional derivative', test, 28(1), pp. 1-11. doi: 10.1186/s42787-020-00099-z
Malik, A., Mohammed, O. Two efficient methods for solving fractional Lane–Emden equations with conformable fractional derivative. test, 2020; 28(1): 1-11. doi: 10.1186/s42787-020-00099-z

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
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