An Efficient Analytical Technique for Solving Newell-Whitehead-Segel Equations of Fractional Order

Abstract

In this paper, we derive the approximate analytical solutions of the linear and non-linear time-fractional Newell-Whitehead-Segel equations using a newly developed analytical technique, namely the Iterative Laplace transform method. The time-fractional derivatives are considered in the Caputo Sense. Furthermore, the results of this investigation are graphically represented, and the solution graphs reveal that the approximate solutions are closely connected to the exact solutions.