Online International Conference on Applied Analysis and Mathematical Modeling, 2021, İstanbul, Turkey, 11 - 13 June 2021, pp.36
In this research, system of the nonlinear partial differential equations with fractional order are studied. The system including both conformable and M-truncated fractional derivatives are solved. Trigonometric, dark and soliton solutions of the considered system are analytically obtained by the extended rational sin-cos and sinh-cosh method. We make a comparison between the solutions of the system with the conformable derivative and M truncated fractional derivative. The results are demonstrated in the 2D and 3D graphics.