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
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
