Study on Approximate Solution of Fractional Order Biological Population Model
Yunqi Xu *
Faculty of Science, Jiangsu University, Zhenjiang 212013, Jiangsu, P.R. China.
Dianchen Lu
Faculty of Science, Jiangsu University, Zhenjiang 212013, Jiangsu, P.R. China.
*Author to whom correspondence should be addressed.
Abstract
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.