A Commutative Alternative to Fractional Calculus on Continuous Functions
Classical Analysis and ODEs
2012-07-31 v1
Abstract
In [1], an operator was introduced which acts parallel to the Riemann-Liouville differintegral on a transformation of the space of real analytic functions and commutes with itself. This paper aims to extend the technique - and its defining characteristic, commutativity - to all real continuous functions, up to the degree to which they are differentiable.
Cite
@article{arxiv.1207.7025,
title = {A Commutative Alternative to Fractional Calculus on Continuous Functions},
author = {Matthew Parker},
journal= {arXiv preprint arXiv:1207.7025},
year = {2012}
}
Comments
7 pages, comments welcome