On geometric fractional calculus

Thabet Abdeljawad, Michael Grossman

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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Published: 2016-03-26

How to Cite this Article:

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.

Journal of Semigroup Theory and Applications

ISSN 2051-2937

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