Solving the Fractional Schrödinger Equation with Singular Potential by Means of the Fourier Transform

Source abstract

The focus of this paper is on the study of fractional Schrödinger’s equations with δ-like potential and initial data, which have both time-fractional and space-fractional components. We employ the Fourier transform to prove the existence-uniqueness theorems. Additionally, we give the association with the classical solution.