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

• Author(s): Ferreira, M. ; Kraußhar, R. S. ; Rodrigues, M. M. ; Vieira, N.
• Date: 2019
• Persistent ID: http://hdl.handle.net/10773/26522
• Origin: RIA - Repositório Institucional da Universidade de Aveiro
• Subject(s): Fractional Derivatives; Fractional Stokes Problem
• Document Type: Conference object
• Language: English

Description

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}).