Open AccessOn nabla discrete fractional calculus operator for a modified Bessel equation
Author(s) -
Reşat Yılmazer,
Ökkeş Öztürk
Publication year - 2017
Publication title -
thermal science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.339
H-Index - 43
eISSN - 2334-7163
pISSN - 0354-9836
DOI - 10.2298/tsci170614287y
Subject(s) - bessel function , bessel process , nabla symbol , cylindrical harmonics , bessel polynomials , fractional calculus , operator (biology) , mathematics , struve function , differential operator , mathematical analysis , differential equation , homogeneous , physics , combinatorics , orthogonal polynomials , chemistry , quantum mechanics , gegenbauer polynomials , transcription factor , omega , biochemistry , macdonald polynomials , gene , difference polynomials , repressor , classical orthogonal polynomials
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.
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