On nabla discrete fractional calculus operator for a modified Bessel equation

Thermal Science

Ozturk Okkes¹  Yilmazer Resat² 

[1] Bitlis Eren University, Department of Mathematics, Bitlis, Turkey;Firat University, Department of Mathematics, Elazig, Turkey;

关键词: discrete fractional calculus;    modified Bessel equation;    nabla operator;   

DOI  :  10.2298/TSCI170614287Y

来源: DOAJ

【 摘 要 】

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

【 授权许可】

Unknown