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Numerical computation of fractional Lotka-Volterra equation arising in biological systems

Numerical computation of fractional Lotka-Volterra equation arising in biological systems Abstract In this paper, we present the homotopy analysis transform method (HATM) to solve fractional Lotka- Volterra equation, which describes the long term servival of species. The HATM solutions, denotes less error compare with their respective exact solution for alpha = 1. In addition to non-proposed techniques, HATMis valid for both small and large parameters, it also provides us with a simpleway to adjust and control the parameter hbar and auxiliary function H(t), which play effective role for convergence solutions of fractional differential-difference equations (FDDEs). http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Nonlinear Engineering de Gruyter

Numerical computation of fractional Lotka-Volterra equation arising in biological systems

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Publisher
de Gruyter
Copyright
Copyright © 2015 by the
ISSN
2192-8010
eISSN
2192-8029
DOI
10.1515/nleng-2015-0012
Publisher site
See Article on Publisher Site

Abstract

Abstract In this paper, we present the homotopy analysis transform method (HATM) to solve fractional Lotka- Volterra equation, which describes the long term servival of species. The HATM solutions, denotes less error compare with their respective exact solution for alpha = 1. In addition to non-proposed techniques, HATMis valid for both small and large parameters, it also provides us with a simpleway to adjust and control the parameter hbar and auxiliary function H(t), which play effective role for convergence solutions of fractional differential-difference equations (FDDEs).

Journal

Nonlinear Engineeringde Gruyter

Published: Jul 1, 2015

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