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

fYear

2008

fDate

27-29 Nov. 2008

Firstpage

11

Lastpage

14

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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/ICCCYB.2008.4721370

Filename

4721370