Title: Solution of time fractional Newell Whitehead Segel equation by natural transform method

Abstract

In this thesis, Newell–Whitehead–Segel equations of fractional order were solved by Natural trans form method to obtain approximate analytical solution of fractional differential equations.This technique is a combination of decomposition method and natural transform method.The fractional derivatives are considered in the Caputo sense.Two unique examples were considered and the re sults obtained were compared with their exact solution graphically.Additionally tables are consid ered to compare approximation solutions with exact solutions.Convergence analysis and numerical examples are presented to show the efficiency of the proposed numerical method. Plotted graph demonstrate the mightiness and accurateness of the proposed technique. The results show efficiency, reliability, and simplicity of the proposed method. Hence, it is recommended for highly nonlinear differential models and system