Fractional integration and differentiation of variable order: an overview

We give an overview of a selection of studies on fractional operations of integration and differentiation of variable order, when this order may vary from point to point. We touch on both the Euclidean setting and also the general setting within the framework of quasimetric measure spaces.

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Bibliographic Details
Published in:Nonlinear dynamics 2013-03, Vol.71 (4), p.653-662
Main Author: Samko, Stefan
Format: Article
Language:English
Subjects:
Automotive Engineering
Classical Mechanics
Control
Differentiation
Dynamical Systems
Engineering
Mechanical Engineering
Nonlinear dynamics
Review
Touch
Vibration
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Description
Summary:We give an overview of a selection of studies on fractional operations of integration and differentiation of variable order, when this order may vary from point to point. We touch on both the Euclidean setting and also the general setting within the framework of quasimetric measure spaces.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-012-0485-0