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Archives of Current Research International, ISSN: 2454-7077,Vol.: 15, Issue.: 4

Method Article

Study on Approximate Solution of Fractional Order Biological Population Model

 

Yunqi Xu1* and Dianchen Lu1
1Faculty of Science, Jiangsu University, Zhenjiang 212013, Jiangsu, P.R. China.

Article Information
Editor(s):
(1) Dr. Nguyen Van Toan, School of Biotechnology, Vietnam National University, Ho Chi Minh City, Vietnam.
Reviewers:
(1) Omenyi, O. Louis, Alex Ekwueme Federal University, Nigeria.
(2) Abdullah Sonmezoglu, Bozok University, Turkey.
(3) Youwei Zhang, Hexi University, China.
Complete Peer review History: http://www.sdiarticle3.com/review-history/46155

Abstracts

In this paper, we present an algorithm of the homotopy analysis Elzaki transform method (HAETM) which is a combination of Elzaki transform method and homotopy analysis method (HAM) to solve a more general biological population model. The fractional derivatives are described by Caputo sense. The proposed method presents a procedure of constructing the set of base functions and gives the high-order deformation equations in a simple form and provides the solution in the form of a convergent series. Three examples are used to illustrate the preciseness and effectiveness of the proposed method.

Keywords :

Fractional calculus; Elzaki transform; biological population model; homotopy analysis method.

Full Article - PDF    Page 1-11

DOI : 10.9734/ACRI/2018/46155

Review History    Comments

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