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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2010-01-01
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| Series: | Mathematical Problems in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2010/375858 |
| 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. |
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| ISSN: | 1024-123X 1563-5147 |