Higher order fractional Leibniz rule

TL;DR

This paper generalizes the fractional Leibniz rule to higher orders using the Coifman-Meyer estimate, allowing arbitrary redistribution of fractional derivatives with correction terms.

Contribution

It introduces a higher order fractional Leibniz rule with a novel approach for redistribution of derivatives and correction terms.

Findings

Established a generalized fractional Leibniz rule for higher orders

Demonstrated the use of Coifman-Meyer estimate in this context

Provided a framework for redistribution of fractional derivatives

Abstract

The fractional Leibniz rule is generalized by the Coifman-Meyer estimate. It is shown that the arbitrary redistribution of fractional derivatives for higher order with the corresponding correction terms.