<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In this paper, the extended Fan sub-equation method to obtain the exact solutions of the generalized time fractional Burgers-Fisher equation is applied. By applying this method, we obtain different solutions that are benefit to further comprise the concepts of complex nonlinear physical phenomena. This method is simple and can be applied to several nonlinear equations. Fractional derivatives are taken in the sense of Jumarie’s modified Riemann-Liouville derivative. A comparative study with the other methods approves the validity and effectiveness of the technique, and on the other hand, for suitable parameter values, we plot 2D and 3D graphics of the exact solutions by using the extended Fan sub-equation method. In this work, we use Mathematica for computations and programming.</p>
</abstract>

In this paper, the extended Fan sub-equation method to obtain the exact solutions of the generalized time fractional Burgers-Fisher equation is applied. By applying this method, we obtain different solutions that are benefit to further comprise the concepts of complex nonlinear physical phenomena. This method is simple and can be applied to several nonlinear equations. Fractional derivatives are taken in the sense of Jumarie’s modified Riemann-Liouville derivative. A comparative study with the other methods approves the validity and effectiveness of the technique, and on the other hand, for suitable parameter values, we plot 2D and 3D graphics of the exact solutions by using the extended Fan sub-equation method. In this work, we use Mathematica for computations and programming.

Application of the Extended Fan Sub-Equation Method to Time Fractional Burgers-Fisher Equation

Bachir El-Ibrahimi University of Bordj Bou Arraridj

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

In this paper, the extended Fan sub-equation method to obtain the exact solutions of the generalized time fractional Burgers-Fisher equation is applied. By...

Application of the Extended Fan Sub-Equation Method to Time Fractional Burgers-Fisher Equation

Published Online: Jan 01, 2022

Page range: 1 - 12

Received: Aug 08, 2020

DOI: https://doi.org/10.2478/tmmp-2021-0016

Keywords
extended Fan sub-equation method, time fractional Burgers-Fisher equation, solitary wave solution

© 2021 Mathematical Institute, Slovak Academy of Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Application of the Extended Fan Sub-Equation Method to Time Fractional Burgers-Fisher Equation

Published Online: Jan 01, 2022

Page range: 1 - 12

Received: Aug 08, 2020

DOI: https://doi.org/10.2478/tmmp-2021-0016

Keywordsextended Fan sub-equation method, time fractional Burgers-Fisher equation, solitary wave solution

© 2021 Mathematical Institute, Slovak Academy of Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
extended Fan sub-equation method, time fractional Burgers-Fisher equation, solitary wave solution