Variable separation method for nonlinear time fractional biological population model

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.

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