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On nabla discrete fractional calculus operator for a modified Bessel equation

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In thermal sciences, it is possible to encounter topics such as Bessel beams, Bessel functions or Bessel equations. In this work, we also present new discrete fractional solutions of the… Click to show full abstract

In thermal sciences, it is possible to encounter topics such as Bessel beams, Bessel functions or Bessel equations. In this work, we also present new discrete fractional solutions of the modified Bessel differential equation by means of the nabla-discrete fractional calculus operator. We consider homogeneous and non-homogeneous modified Bessel differential equation. So, we acquire four new solutions of these equations in the discrete fractional forms via a newly developed method.

Keywords: modified bessel; discrete fractional; fractional calculus; calculus operator; nabla discrete; equation

Journal Title: Thermal Science
Year Published: 2017

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