Fractional Order Calculus: Basic Concepts and Engineering Applications
By R. Gutiérrez, J. M. Rosário, J. Machado. 2010
294 citations recorded by the source corpus.
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.
Subfields: Artificial Intelligence, Control and Systems Engineering
View Paper: https://www.semanticscholar.org/paper/7e4346a64a2b0c64f344d20678fb5d3d250580aa
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In Artificial Intelligence
In Control and Systems Engineering
Citations in the corpus
- A review of operational matrices and spectral techniques for fractional calculus (2015, background): “Many phenomena in engineering, physics and other sciences can be modeled successfully by using mathematical tools inspired in the fractional calculus, that is, the theory of derivatives and integrals of non-integer order [1–19].”