Comment on 'Applications of homogenous balanced principle on investigating exact solutions to a series of time fractional nonlinear PDEs', [Commun Nonlinear Sci Numer Simulat 47 (2017) 253-266]

摘要

A counterexample is given to show that the product rule of the Caputo fractional derivatives does not hold except on a special point. The function-expansion method of separation variable proposed by Rui[Commun Nonlinear Sci Numer Simulat 47 (2017) 253-266] based on the product rule must be modified. (C) 2017 Elsevier B.V. All rights reserved.