Title :
Application of Fractional Calculus in Engineering Sciences
Author :
Machado, J. A Tenreiro
Author_Institution :
Dept. of Electr. Eng., Inst. of Eng. of Porto, Porto, Portugal
Abstract :
The fractional calculus (FC) goes back to the beginning of the theory of differential calculus. Nevertheless, the application of FC just emerged in the last two decades, due to the progress in the area of chaos and nonlinear dynamics that revealed subtle relationships with the FC concepts. In the field of dynamical systems theory some work has been carried out but the proposed models and algorithms are still in a preliminary stage of establishment. Having these ideas in mind, the paper discusses the application of FC in engineering sciences.
Keywords :
chaos; nonlinear dynamical systems; process algebra; time-varying systems; chaos; differential calculus; dynamical systems theory; engineering sciences; fractional calculus; nonlinear dynamics; Algorithm design and analysis; Biological system modeling; Chaos; Chemistry; Computational biology; Fractional calculus; Frequency; Integral equations; Physics; Systems engineering and theory;
Conference_Titel :
Computational Cybernetics, 2008. ICCC 2008. IEEE International Conference on
Conference_Location :
Stara Lesna
Print_ISBN :
978-1-4244-2874-8
Electronic_ISBN :
978-1-4244-2875-5
DOI :
10.1109/ICCCYB.2008.4721370