Explicit solutions of the mass schrödinger differential equation

Fractional analysis, a branch of mathematical analysis, is the extension of derivatives and integrals to arbitrary orders. It has a wide application area in science and engineering. In this thesis, firstly, studies on fractional analysis, relevant definitions and theorems are given. One of the most important equations of quantum mechanics is the Schrödinger equation. In the mass Schrödinger differential equation we have discussed, explicit solutions of the second order linear differential equation with singular coefficients, which were found by making appropriate transformations with the help of different parameters, were obtained with the help of fractional analysis. As a result, some new fractional explicit solutions to the existing model have been produced for a given potential.