Fractional Order Calculus: Basic Concepts and Engineering Applications

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...

Full description

Saved in:
Bibliographic Details
Published in:Mathematical Problems in Engineering 2010-01, Vol.2010 (1), p.1333-1351-077
Main Authors: Gutierrez, Ricardo Enrique, Rosario, Joao Mauricio, Tenreiro Machado, Jose
Format: Article
Language:English
Subjects:
Calculus
Control systems
Control theory
Differential calculus
Differential equations
Dynamical systems
Expected values
Fourier transforms
Fractal analysis
Fractal geometry
Fractals
Laplace transforms
Mathematical analysis
Mechatronics
Random variables
Robotics
Studies
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
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.
ISSN:1024-123X
1563-5147
DOI:10.1155/2010/375858