Two efficient methods for solving fractional Lane–Emden equations with conformable fractional derivative
Malik, A., Mohammed, O. (2020). Two efficient methods for solving fractional Lane–Emden equations with conformable fractional derivative. EKB Journal Management System, 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". EKB Journal Management System, 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', EKB Journal Management System, 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. EKB Journal Management System, 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, Page 1-11  XML PDF (613.07 K)
DOI: 10.1186/s42787-020-00099-z
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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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