Document Type : Original Article

**Authors**

Faculty of Mathematics, K. N. Toosi University of Technology, P. O. Box: 16765-3381, 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

**Main Subjects**

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September 2020

Pages 235-250