In this article, an amelioration of the approaches namely the new extended direct algebraic method for solving the nonlinear conformable fractional Schrödinger-Hirota equation (FSHE) is presented. By using the traveling wave transformation change the fractional equation into the ordinary differential equation, and with the aid of mathematical software Maple, a number of new optical solitons solutions for them are calculated. The obtained results show that the proposed method is powerful, effective, and straightforward technique to work out new solutions of various types of nonlinear fractional partial differential equations in applied sciences.
