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

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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 \(N^{\eta }\) method. We can obtain the fractional solutions differently from classical solutions by means of \(N^{\eta }\) method. In this study, we applied the \(N^{\eta }\) method to the radial component of the fractional Schrödinger equation. After, we obtained hypergeometric forms of the solutions.

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Authors and Affiliations

  1. Department of Mathematics, Bitlis Eren University, 13000, Bitlis, Turkey

    O. Ozturk

  2. Department of Mathematics, Firat University, 23119, Elazig, Turkey

    R. Yilmazer

Authors
  1. O. Ozturk
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  2. R. Yilmazer
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Correspondence to O. Ozturk.

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Ozturk, O., Yilmazer, R. Solutions of the Radial Component of the Fractional Schrödinger Equation Using N-Fractional Calculus Operator. Differ Equ Dyn Syst 28, 191–199 (2020). https://doi.org/10.1007/s12591-016-0308-8

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  • DOI: https://doi.org/10.1007/s12591-016-0308-8

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