Journal
APPLIED MATHEMATICS LETTERS
Volume 24, Issue 8, Pages 1428-1434Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2011.03.025
Keywords
Homotopy perturbation method; Fractional calculus; The fractional Kolmogorov-Petrovskii-Piskunov equation; Complex transformation
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The fractional derivatives in the sense of Caputo, and the homotopy perturbation method are used to construct approximate solutions for nonlinear Kolmogorov-Petrovskii-Piskunov (KPP) equations with respect to time and space fractional derivatives. Also, we apply complex transformation to convert a time and space fractional nonlinear KPP equation to an ordinary differential equation and use the homotopy perturbation method to calculate the approximate solution. This method is efficient and powerful in solving wide classes of nonlinear evolution fractional order equations. (C) 2011 Elsevier Ltd. All rights reserved.
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