A new numerical technique for solving Caputo time-fractional biological population equation

In this paper, we propose a new numerical technique called modified generalized Taylor fractional series method (MGTFSM) for solving Caputo time-fractional biological population equation.We present our obtained results in the form of a new theorem.This method based on constructing series solutions in a form of rapidly convergent series with easily computable components and without need of linearization, discretization, perturbation or unrealistic assumptions.The accuracy and efficiency of the method is tested by means of three numerical examples.The results prove that the proposed method is very effective and simple for solving fractional partial differential equations.