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Solutions of the Radial Component of the Fractional Schrödinger Equation Using N-Fractional Calculus Operator

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Fractional calculus tecniques are used for the solutions of some classes of differential equations and fractional differential equations. One of the these tecniques is N-fractional calculus operator $$N^{\eta }$$ N… Click to show full abstract

Fractional calculus tecniques are used for the solutions of some classes of differential equations and fractional differential equations. One of the these tecniques is N-fractional calculus operator $$N^{\eta }$$ N η method. We can obtain the fractional solutions differently from classical solutions by means of $$N^{\eta }$$ N η method. In this study, we applied the $$N^{\eta }$$ N η method to the radial component of the fractional Schrödinger equation. After, we obtained hypergeometric forms of the solutions.

Keywords: component fractional; fractional calculus; calculus; radial component; calculus operator; fractional schr

Journal Title: Differential Equations and Dynamical Systems
Year Published: 2020

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