Fractional order calculus: basic concepts and engineering applications
type: Item
instance of: scholarly article
title: Fractional order calculus: basic concepts and engineering applications
zbMATH Open document ID: 1190.26002
DOI: 10.1155/2010/375858
author: Ricardo Enrique Gutiérrez
author: João Maurício Rosário
author: José A. Tenreiro Machado
published in: Mathematical Problems in Engineering
publication date: 2010-06-29T00:00:00Z
full work available at URL: https://eudml.org/doc/228743
review text: Summary: The fractional order calculus (FOC) is as old as the integer one although up to recently its application was exclusively in mathematics. Many real systems are better described with FOC differential equations as it is a well-suited tool to analyze problems of fractal dimension, with long-term ``memory'' and chaotic behavior. Those characteristics have attracted the engineers' interest in the latter years, and now it is a tool used in almost every area of science. This paper introduces the fundamentals of the FOC and some applications in systems' identification, control, mechatronics, and robotics, where it is a promissory research field.
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 5728484
MaRDI profile type: Publication
OpenAlex ID: W2069295222
Wikidata QID: Q58653043
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description: scientific article; zbMATH DE number 5728484