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.
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Thabet Abdeljawad, Michael Grossman, On geometric fractional calculus, J. Semigroup Theory Appl., 2016 (2016), Article ID 2
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.