Application of Optimal HAM for Solving the Fractional Order Logistic Equation
Applied and Computational Mathematics
Volume 3, Issue 1, February 2014, Pages: 27-31
Received: Dec. 8, 2013; Published: Feb. 28, 2014
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Mohamed S. Mohamed, Mathematics Department, Faculty of Science, Al-Azhar University, Egypt;Mathematics Department, Faculty of Science, Taif University, Saudi Arabia
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In this paper, we use the optimal homotopy analysis method (OHAM) for approximate solutions of the fractional order Logistic equation. The numerical results obtained are compared with the results obtained by using variational iteration method (VIM) and Adomian decomposition method (ADM). The fractional derivatives are described by Caputo's sense. Exact and/or approximate analytical solutions of these equations are obtained. The results reveal that this method is very effective and powerful to obtain the approximate solutions.
Logistic Equation, Fractional Order-Differential Equations, Homotopy Analysis Method, Optimal Value, Caputo's Fractional Derivative
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Mohamed S. Mohamed, Application of Optimal HAM for Solving the Fractional Order Logistic Equation, Applied and Computational Mathematics. Vol. 3, No. 1, 2014, pp. 27-31. doi: 10.11648/j.acm.20140301.14
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