The Caputo-Fabrizio New fractional derivation applied to the Fisher emission linear equation
Abstract
An analysis and paper were provided for Fisher's reaction-diffusion equation using the time-frictional Caputo-Fabrizio equation. In addition, we offered the modified problem's iterative method solution. We demonstrated the stability of the approach using fixed-point theory. These operators, however, are limited in their ability to mimic physical situations and have a power law kernel. Recently, Caputo and Fabrizio presented an alternative fractional differential operator with an exponentially decaying kernel in order to get around this problem. The Caputo-Fabrizio (C-F) operator is a revolutionary method for fractional derivatives that has drawn the attention of several researchers because of its non-singular kernel. Additionally, the C-F operator works best when representing a certain class.