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

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 (C...

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Veröffentlicht in:Journal of the Egyptian Mathematical Society 2020-08, Vol.28 (1), p.1-11, Article 42
Hauptverfasser: Malik, Adyan M., Mohammed, Osama H.
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Sprache:eng
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Zusammenfassung: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.
ISSN:2090-9128
1110-256X
2090-9128
DOI:10.1186/s42787-020-00099-z