On geometric fractional calculus
Abstract
In this paper, we set the main concepts for geometric (multiplicative) fractional calculus. We define Caputo, Riemann and Letnikov multiplicative fractional derivatives and multiplicative fractional integrals and study some of their properties. Finally, the multiplicative analogue of the local conformable fractional derivative and integral is studied.
- Published
- 26 March 2016
- Volume
- 2016 (2016)
- License
- CC BY 3.0
Copyright © 2016 Thabet Abdeljawad, Michael Grossman. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
T. Abdeljawad, M. Grossman, On geometric fractional calculus, J. Semigroup Theory Appl. 2016 (2016), 2.
BibTeX
@article{Abdeljawad2016,
author = {Abdeljawad, Thabet and Grossman, Michael},
title = {On geometric fractional calculus},
journal = {J. Semigroup Theory Appl.},
volume = {2016},
year = {2016},
pages = {2},
doi = {}
}