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An Approximate Study of Fisher’s Equation by Using a Semi-Analytical Iterative Method |
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PP: 397-407 |
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doi:10.18576/pfda/090305
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Author(s) |
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Ahmed El-Sayed,
Anas Arafa,
Ibrahim Hanafy,
Ahmed Hagag,
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Abstract |
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| 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.
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