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 |
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Format: | Artikel |
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. |
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ISSN: | 2090-9128 1110-256X 2090-9128 |
DOI: | 10.1186/s42787-020-00099-z |