Computational analysis of a normalized time-fractional Fisher equation

This study presents a normalized time-fractional Fisher equation to resolve scaling inconsistencies associated with conventional time-fractional derivatives. A finite difference scheme is applied to numerically solve the equation. Computational experiments are conducted to investigate the impact of the fractional order on the system's dynamics. The numerical results demonstrate the influence of memory effects on the solution's evolution and highlight the advantages of the proposed normalization approach for fractional-order models.