Homotopy perturbation transform method for time-fractional Newell-Whitehead-Segel equation containing Caputo-Prabhakar fractional derivative

Document Type : Original Article

Authors

1 Faculty of Mathematics, K. N. Toosi University of Technology

2 Faculty of Mathematics, Khajeh Nasir Toosi University of Technology

10.22060/ajmc.2020.18012.1028

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

Main Subjects