Fractional Euler Limits and Their Applications
Classical Analysis and ODEs
2016-09-16 v1 Probability
Abstract
Generalisations of the classical Euler formula to the setting of fractional calculus are discussed. Compound interest and fractional compound interest serve as motivation. Connections to fractional master equations are highlighted. An application to the Schlogl reactions with Mittag-Leffler waiting times is described.
Cite
@article{arxiv.1609.04772,
title = {Fractional Euler Limits and Their Applications},
author = {Shev MacNamara and Bruce I Henry and William McLean},
journal= {arXiv preprint arXiv:1609.04772},
year = {2016}
}