Fractional calculus via functional calculus: Theory and applications
type: Item
instance of: scholarly article
title: Fractional calculus via functional calculus: Theory and applications
zbMATH Open document ID: 1026.47010
DOI: 10.1023/A:1016595107471
author: Siegmar Kempfle
author: Ingo Schäfer
author: Horst Reinhard Beyer
published in: Nonlinear Dynamics
publication date: 2003-12-09T00:00:00Z
review text: The paper demonstrates the power of the functional calculus definition of linear fractional differential operators via generalized Fourier transforms. The solutions are presented as convolutions of the input functions with the related impulse responses. Some examples are presented. The quality of the method is exemplified by comparing the numerical results with measurements.
reviewed by: Rudolf Kodnár
Mathematics Subject Classification ID: 47A60
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74D05
zbMATH DE Number: 1850649
zbMATH Keywords: fractional calculus
zbMATH Keywords: residue calculus
zbMATH Keywords: viscoelasticity
zbMATH Keywords: mechanics of rods
zbMATH Keywords: functional calculus
zbMATH Keywords: linear fractional differential operators
zbMATH Keywords: generalized Fourier transforms
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1850649