Fractional Schrödinger equation in gravitational optics

This paper addresses issues surrounding the concept of fractional quantum mechanics, related to lights propagation in inhomogeneous nonlinear media, specifically restricted a so-called gravitational optics. Besides Schrödinger–Newton equation, we have also concerned with linear and Airy beam accelerations flat curved spaces fractal photonics, Schrödinger where impact Laplacian is discussed. Another important feature optics’ implementation its geometry paraxial approximation, when particular, an effective description optical effects. In this case, fractional-time differentiation reflexes effect as well.