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

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