Abstract
Fractal Calculus is designed to reveal the study of waves. Most of the waves are very grim to model correctly. Fractal representation of waves helps to better understand complex wave phenomena. In this paper, a Maclaurin series method (MSM) is proposed to obtain the exact and approximate solutions of fractal nonlinear differential-difference models produced by coupled nonlinear optical waveguides. The method is very simple, easy to understand, and minimizes calculation compared to existing approximate methods.