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An Operational Approach With Application to Fractional Bessel Equation

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Abstract

We propose a new definition for the fractional order Bessel operator which is based on Liouville’s first formula for a fractional derivative. From this definition we construct an operational calculus and solve fractional order Bessel equations.

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Authors and Affiliations

  1. Academia de Matemáticas, Universidad Autónoma de la Ciudad de México, Calle Prolongación San Isidro No. 151 Col. San Lorenzo Tezonco, Del. Iztapalapa, México

    Gabriel Bengochea

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  1. Gabriel Bengochea
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Correspondence to Gabriel Bengochea.

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Bengochea, G. An Operational Approach With Application to Fractional Bessel Equation. FCAA 18, 1201–1211 (2015). https://doi.org/10.1515/fca-2015-0069

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