<p>The perturbation iteration Sumudu transform method (PISTM) is a cutting-edge hybrid method for finding the precise solution to the various types of time-fractional Fisher’s equations, including the nonlinear time-fractional diffusion equation in Fisher’s form. Numerous domains, including population dynamics, stochastic processes, genetic transmission, combustion theory, and flame simulation, utilize these equations. The validity and effectiveness of the method are demonstrated through convergence and error correction, which shows that the PISTM solutions are distinct and convergent. The outcomes demonstrate the efficacy and dependability of PISTM. The Method is accomplished by comparing the findings with the exact results through various tables and graphs. The outcomes demonstrate that the method is simple and efficient for obtaining the solution of nonlinear time-fractional Fisher’s equations.</p>