Variable separation method for nonlinear time fractional biological population model
International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539
Article publication date: 7 September 2015
Abstract
Purpose
The purpose of this paper is to analytically solve the (2+1)-dimensional nonlinear time fractional biological population model in the Caputo sense.
Design/methodology/approach
The paper uses the variable separation method and the properties of Gamma function to construct exact solutions of the time fractional biological population model.
Findings
New variable separation solutions are obtained, from which some known solutions are recovered as special cases.
Originality/value
Solving fractional biological population model by the variable separation method and the properties of Gamma function is original. It is shown that the method presented in this paper can be also used for some other nonlinear fractional partial differential equations arising in sciences and engineering.
Keywords
Citation
Zhang, S., Cai, B. and Xu, B. (2015), "Variable separation method for nonlinear time fractional biological population model", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 25 No. 7, pp. 1531-1541. https://doi.org/10.1108/HFF-03-2013-0092
Publisher
:Emerald Group Publishing Limited
Copyright © 2015, Emerald Group Publishing Limited