Application of the hypercomplex fractional integro-differential operators to the fractional Stokes equation

Abstract

We present a generalization of several results of the classical continuous Clifford function theory to the context of fractional Clifford analysis. The aim of this paper is to show how the fractional integro-differential hypercomplex operator calculus can be applied to a concrete fractional Stokes problem in arbitrary dimensions which has been attracting recent interest (cf. \cite{CNP,LAX}).