Author:
Malik Adyan M.,Mohammed Osama H.
Abstract
AbstractIn 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.
Publisher
Springer Science and Business Media LLC
Reference41 articles.
1. Podlubny, I.: Fractional Differential Equations : an Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and Some of Their Applications. Academic Press, San Diego (1999).
2. Kilbas, A. A.: Theory and Applications of Fractional Differential Equations. Elsevier, Amsterdam Boston (2006).
3. Mohammed, O. H.: A direct method for solving fractional order variational problems by hat basis functions. Ain Shams Eng. J. 9(4), 1513–1518 (2018). https://doi.org/10.1016/j.asej.2016.11.006.
4. Mohammed, O. H., Malik, A. M.: A modified computational algorithm for solving systems of linear integro-differential equations of fractional order. J. King Saud Univ. Sci. 31(4), 946–955 (2019). https://doi.org/10.1016/j.jksus.2018.09.005.
5. Abdo, M. S., Shah, K., Wahash, H. A., Panchal, S. K.: On a comprehensive model of the novel coronavirus (COVID-19) under mittag-leffler derivative. Chaos Solitons Fractals. 135, 109867 (2020). https://doi.org/10.1016/j.chaos.2020.109867.
Cited by
7 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献