Variable separation method for nonlinear time fractional biological population model.

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. [ABSTRACT FROM AUTHOR]