Amirkabir University of TechnologyAUT Journal of Mathematics and Computing1220201001Homotopy perturbation transform method for time-fractional Newell-Whitehead Segel equation containing Caputo-Prabhakar fractional derivative235250399910.22060/ajmc.2020.18012.1028ENMohammadhosseinDerakhshanFaculty of Mathematics, K. N. Toosi University of TechnologyAzimAminataeiFaculty of Mathematics, Khajeh Nasir Toosi University of TechnologyJournal Article20200227The 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 techniquehttps://ajmc.aut.ac.ir/article_3999_ae5645ab55ab9d75e12b5a6dd5b740e1.pdf