Fractional Order Calculus: Basic Concepts and Engineering Applications | Zendy

Ricardo Enrique Gutiérrez Carvajal | Zendy; João Maurício Rosário | Zendy; J. A. Tenreiro Machado | Zendy

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Fractional Order Calculus: Basic Concepts and Engineering Applications

Author(s) -

Ricardo Enrique Gutiérrez Carvajal,

João Maurício Rosário,

J. A. Tenreiro Machado

Publication year - 2010

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2010/375858

Subject(s) - mechatronics , calculus (dental) , integer (computer science) , robotics , fractional calculus , dimension (graph theory) , chaotic , field (mathematics) , fractal , identification (biology) , computer science , mathematics , control engineering , artificial intelligence , engineering , pure mathematics , robot , mathematical analysis , medicine , dentistry , botany , biology , programming language

The fractional order calculus (FOC) is as old as the integer onealthough up to recently its application was exclusively in mathematics.Many real systems are better described with FOC differential equationsas it is a well-suited tool to analyze problems of fractal dimension,with long-term “memory” and chaotic behavior. Those characteristicshave attracted the engineers' interest in the latter years, and now itis a tool used in almost every area of science. This paper introducesthe fundamentals of the FOC and some applications in systems' identification,control, mechatronics, and robotics, where it is a promissoryresearch field

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