Solving the Fractional Schrödinger Equation with Singular Potential by Means of the Fourier Transform
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Authors: A. BENMERROUS, M. ELOMARI AND A. E. MFADEL
DOI: 10.46793/KgJMat2606.921B
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.
Keywords:
Colombeau algebra, Schrödinger equation, Fourier transform, δ-like potential.
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