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

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

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...

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Main Authors: Adyan M. Malik, Osama H. Mohammed
Format: Article
Language:English
Published: SpringerOpen 2020-08-01
Series:Journal of the Egyptian Mathematical Society
Subjects:
Fractional Lane–Emden equations
HAM
Residual power series
Online Access:http://link.springer.com/article/10.1186/s42787-020-00099-z
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spelling doaj-e1395525a0fe405aba4a7b8896488e872020-11-25T03:49:37ZengSpringerOpenJournal of the Egyptian Mathematical Society2090-91282020-08-0128111110.1186/s42787-020-00099-zTwo efficient methods for solving fractional Lane–Emden equations with conformable fractional derivativeAdyan M. Malik0Osama H. Mohammed1Dept. of Math. and Comp. Appl., Al-Nahrain UniversityDept. of Math. and Comp. Appl., Al-Nahrain UniversityAbstract 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.http://link.springer.com/article/10.1186/s42787-020-00099-zFractional Lane–Emden equationsHAMResidual power series
collection DOAJ
language English
format Article
sources DOAJ
author Adyan M. Malik
Osama H. Mohammed
spellingShingle 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
Fractional Lane–Emden equations
HAM
Residual power series
author_facet Adyan M. Malik
Osama H. Mohammed
author_sort Adyan M. Malik
title Two efficient methods for solving fractional Lane–Emden equations with conformable fractional derivative
title_short Two efficient methods for solving fractional Lane–Emden equations with conformable fractional derivative
title_full Two efficient methods for solving fractional Lane–Emden equations with conformable fractional derivative
title_fullStr Two efficient methods for solving fractional Lane–Emden equations with conformable fractional derivative
title_full_unstemmed Two efficient methods for solving fractional Lane–Emden equations with conformable fractional derivative
title_sort two efficient methods for solving fractional lane–emden equations with conformable fractional derivative
publisher SpringerOpen
series Journal of the Egyptian Mathematical Society
issn 2090-9128
publishDate 2020-08-01
description 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.
topic Fractional Lane–Emden equations
HAM
Residual power series
url http://link.springer.com/article/10.1186/s42787-020-00099-z
work_keys_str_mv AT adyanmmalik twoefficientmethodsforsolvingfractionallaneemdenequationswithconformablefractionalderivative
AT osamahmohammed twoefficientmethodsforsolvingfractionallaneemdenequationswithconformablefractionalderivative
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