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
