In this paper, we present a novel approach for obtaining optical soliton solutions of the higherorder (2+1)-dimensional Schr€odinger equation with a fractional beta time derivative. This model is signi¯cant as it accurately simulates complex physical phenomena such as the propagation of optical pulses in non-homogeneous media, which is crucial for advancing technologies in optical communications and information processing. The improved modi¯ed extended tanh method is employed to derive various types of solutions, including bright solitons, dark solitons, periodic solutions, and exponential solutions. The obtained solutions are graphically simulated for di®erent values of to showcase the impact of the fractional derivative on the model and its relevance to real-world applications.
