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In this work, our main idea is to retrieve a variety of exact optical solitons of the generalized (2+1)-dimensional nonlinear conformable fractional Schrödinger system by employing three novel integration norms. The constructed optical solitons can be divided as dark, singular, combo dark-singular, periodic, mixed periodic, and plane wave solutions. In addition, by selecting different parametric values, the physical representation of some achieved solutions is plotted in 3-dimensional, 2-dimensional, and contour graphs. Computation packages are used to verify all of the secured results by putting them back into the original model. The findings demonstrate that the examined system theoretically contains a large number of optical solitons. The constructed results rendering that the consider methods in this article are effective, concise, straightforward, efficient, and they can be used to handle some more nonlinear partial differential equations in the applied sciences. The achieved outcomes in this article may be valuable in clarifying the true meaning of numerous nonlinear advancement circumstances that develop in various domains of nonlinear sciences. Also, these fresh solutions have many applications in physics and other branches of physical sciences.