"An Approximate Study of Fisher’s Equation by Using a Semi-Analytical I" by Ahmed El-Sayed, Anas Arafa et al.

Progress in Fractional Differentiation & Applications

Article Title

An Approximate Study of Fisher’s Equation by Using a Semi-Analytical Iterative Method

Authors

Ahmed El-Sayed, Department of Mathematics, Faculty of Science, Alexandria University, Alexandria, EgyptFollow
Anas Arafa, Department of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said, EgyptFollow
Ibrahim Hanafy, Department of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said, EgyptFollow
Ahmed Hagag, Department of Basic Science, Faculty of Engineering, Sinai University, Ismailia, EgyptFollow

Author Country (or Countries)

Egypt

Abstract

In this paper, a new fractional analytical iterative technique was used to get analytical solutions of the nonlinear Fisher’s equation with time-fractional order. The novelty of the study comes from the application of the Caputo fractional operator to classical equations, which results in very accurate solutions via well-known series solutions. It also doesn’t require any presumptions for nonlinear terms. The numerical results for numerous instances of the equations are displayed in tables and graphs. The method can drastically reduce the number of analytical steps while also being efficient and convenient for solving nonlinear fractional equations.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/090305

Recommended Citation

El-Sayed, Ahmed; Arafa, Anas; Hanafy, Ibrahim; and Hagag, Ahmed (2023) "An Approximate Study of Fisher’s Equation by Using a Semi-Analytical Iterative Method," Progress in Fractional Differentiation & Applications: Vol. 9: Iss. 3, Article 5.
DOI: http://dx.doi.org/10.18576/pfda/090305
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol9/iss3/5

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