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arxiv: 1506.07382 · v1 · pith:BJ37DGCMnew · submitted 2015-05-29 · 🧮 math.CA

Conformable Fractional Bessel Equation and Bessel Functions

Ahmet G\"okdo\u{g}an , Emrah \"Unal , Ercan \c{C}elik This is my paper
classification 🧮 math.CA
keywords fractionalbesselfunctionssolutionsconformableequationadditionaround
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In this work, we study the fractional power series solutions around regular singular point x=0 of conformable fractional Bessel differential equation and fractional Bessel functions. Then, we compare fractional solutions with ordinary solutions. In addition, we present certain property of fractional Bessel functions.

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  1. Remarks about the existence of conformable derivatives and some consequences

    math.CA 2019-07 unverdicted novelty 3.0

    Conformable derivatives exist exactly when usual derivatives exist and relate to them via a simple scaling by t to the power 1-alpha.