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arXiv · 1207.7025

A Commutative Alternative to Fractional Calculus on Continuous Functions

Matthew Parker
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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.

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Matthew Parker. 2012-07-30. A Commutative Alternative to Fractional Calculus on Continuous Functions. https://arxiv.org/abs/1207.7025

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