Evaluation of time-fractional Fisher's equations with the help of analytical methods

• DOI: 10.3934/math.20221031
• Publication Date: 2022-08-23T11:06:56Z
• Authors: Ahmed M. Zidan; Adnan Khan; Rasool Shah; Mohammed Kbiri Al...; Wajaree Weera
• Keywords: Adomian decomposition method; Homotopy Analysis Method; Homotopy perturbation method

<abstract><p>This article shows how to solve the time-fractional Fisher's equation through use of two well-known analytical methods. The techniques we propose are a modified form Adomian decomposition method and homotopy perturbation with Yang transform. To show accuracy suggested techniques, illustrative examples considered. It is confirmed that solution get by implementing has desired rate convergence towards accurate solution. main benefit proposed small number calculations. reliability present some graphical behaviors results, absolute error graphs tables strongly agree each other. Furthermore, it can be used for solving fractional-order physical problems in various fields applied sciences.</p></abstract>