title: 
Fractional qCalculus on a time scale 

publication: 

volumeissue:  14  3  
pages:  341  352  
ISSN: 
14029251  
DOI: 
doi:10.2991/jnmp.2007.14.3.4 (how to use a DOI)  
author(s): 
Ferhan M. Atici, Paul W. Eloe 

publication date: 
October 2007 

abstract: 
The study of fractional qcalculus in this paper serves as a bridge between the fractional
qcalculus in the literature and the fractional qcalculus on a time scale Tt0 = {t : t =
t0 q
n
, n a nonnegative integer } ∪ {0}, where t0 ∈ R and 0 < q < 1. By use of time
scale calculus notation, we find the proof of many results more straight forward. We
shall develop some properties of fractional qcalculus, we shall develop some properties
of a qLaplace transform, and then we shall employ the qLaplace transform to solve
fractional qdifference equations.


copyright: 
© The authors.
This article is distributed under the terms of the Creative Commons Attribution License 4.0, which permits noncommercial use, distribution and reproduction in any medium, provided the original work is properly cited. See for details: https://creativecommons.org/licenses/bync/4.0/ 

full text: 