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Solutions in the Discrete Fractional Forms of Two Differential Equations with Singular Points

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Abstract

In present note, we apply the Leibniz formula with the nabla operator in discrete fractional calculus (DFC) due to obtain the discrete fractional solutions of a class of associated Bessel equations (ABEs) and a class of associated Legendre equations (ALEs), respectively. Thus, we exhibit a new solution method for such second order linear ordinary differential equations with singular points.

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Acknowledgments

The author would like to thank all the referees and publishers.

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  1. Independent Researcher, Islahiye, 27800, Turkey

    Okkes Ozturk

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  1. Okkes Ozturk
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Correspondence to Okkes Ozturk.

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Ozturk, O. Solutions in the Discrete Fractional Forms of Two Differential Equations with Singular Points. Acta Math. Appl. Sin. Engl. Ser. 36, 975–981 (2020). https://doi.org/10.1007/s10255-020-0954-z

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  • DOI: https://doi.org/10.1007/s10255-020-0954-z

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