On Analytical Solution of Time-Fractional Type Model of the Fisher’s Equation

  • Shaheed N. Huseen Mathematics Department, Faculty of Computer Science and Mathematics, University of Thi-Qar, Thi-Qar, Iraq
Keywords: Fisher’s Equation, Laplace q-Homotopy Analysis Method, Fractional Derivative

Abstract

In this paper, the time-fractional Fisher’s equation (TFFE) is considered to exam the analytical solution using the Laplace q-Homotopy analysis method (Lq-HAM)â€. The Lq-HAM is a combined form of q-homotopy analysis method (q-HAM) and Laplace transform. The aim of utilizing the Laplace transform is to outdo the shortage that is mainly caused by unfulfilled conditions in the other analytical methods. The results show that the analytical solution converges very rapidly to the exact solution.

Published
2020-06-27
How to Cite
Huseen, S. N. (2020). On Analytical Solution of Time-Fractional Type Model of the Fisher’s Equation. Iraqi Journal of Science, 61(6), 1419-1425. https://doi.org/10.24996/ijs.2020.61.6.20
Section
Mathematics