Exact Solutions Of Time Fractional Generalized Burgers-Fisher Equation Using Exp function and Exponential Rational Function Methods

TL;DR

This paper develops exact solutions for the time-fractional generalized Burgers-Fisher equation using Exp function and exponential rational function methods, transforming it into a nonlinear ODE and visualizing solutions.

Contribution

It introduces novel application of Exp and exponential rational function methods to solve the time-fractional Burgers-Fisher equation, providing explicit solutions.

Findings

Exact solutions obtained and visualized in 2D and 3D plots.

Methods successfully applied to a nonlinear fractional differential equation.

Enhances analytical tools for fractional differential equations.

Abstract

Using modified Riemann-Liouville derivative, the Exp function and Exponential rational function methods are implemented to solve the time-fractional generalized Burgers-Fisher equation (TF-GBF). The TF-GBF is transformed into a nonlinear ordinary differential equation (NLODE) by applying the transformation of traveling wave. The suggested methods are then introduced to formulate exact solutions for the resulting equation. The solutions are depicted using 2D and 3D plots.