Novel simulations to the time-fractional Fisher's equation

In the present work, an efficient numerical technique, called q-homotopy analysis transform method (briefly, q-HATM), is applied to nonlinear Fisher's equation of fractional order. The homotopy polynomials are employed, in order to handle the nonlinear terms. Numerical examples are illustrated to examine the efficiency of the proposed technique. The suggested algorithm provides the auxiliary parameters and n, which help us to control and adjust the convergence region of the series solution. The outcomes of the study reveal that the q-HATM is computationally very effective and accurate to analyse nonlinear fractional differential equations.