Solution for generalized fuzzy time-fractional Fisher's equation using a robust fuzzy analytical approach

This work focuses on designing and analyzing a double parametric fuzzy Homotopy analysis approach with Shehu transform for the non-linear fuzzy time-fractional generalized Fisher's equation(FTFGFE). A triangular fuzzy number is used to describe the Caputo fractional derivative(CFD) of order (0,1) that appears in the modeling problem. A novel double parametric form-based Homotopy analysis approach with its convergence analysis is introduced to examine the fuzzy velocities profiles at different spatial positions with crisp and fuzzy conditions. Additional examples are offered to demonstrate the method's efficacy and viability. The resulting results are compared to other alpha = 1 results to validate the obtained results and to test the efficiency of the proposed method. The errors approximations are provided to support the suggested computing efficiency of the analytical method. (c) 2022 Shanghai Jiaotong University. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license ( http://creativecommons.org/licenses/by-nc-nd/4.0/ )