Title of article
Homotopy perturbation transform method for time-fractional Newell-Whitehead Segel equation containing Caputo-Prabhakar fractional derivative
Author/Authors
Derakhshan, Mohammadhossein Faculty of Mathematics - K. N. Toosi University of Technology, Tehran, Iran , Aminataei, Azim Faculty of Mathematics - Khajeh Nasir Toosi University of Technology, Tehran, Iran
Pages
16
From page
235
To page
250
Abstract
The main aim of the current article is to find the solution for Newell Whitehead-Segel equations with constant coefficients containing Caputo-Prabhakar fractional derivative using the homotopy perturbation transform method. The convergence analysis of the obtained solution for the proposed fractional order model is presented. Four examples are presented to illustrate the efficiency and applicability and accurateness of the proposed numerical technique
Keywords
Nonlinear fractional differential equations , Newell-Whitehead-Segel equations , Homotopy perturbation transform method , Caputo-Prabhakar fractional derivative
Journal title
AUT Journal of Mathematics and Computing
Serial Year
2020
Record number
2714646
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