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Mathematical Problems in Engineering
Volume 2014, Article ID 238459, 6 pages
Review Article

A Review of Definitions for Fractional Derivatives and Integral

1Department of Applied Mathematics, IMECC-UNICAMP, 13083-859 Campinas, SP, Brazil
2Institute of Engineering, Polytechnic of Porto, Department of Electrical Engineering, Rua Dr. Antonio Bernardino de Almeida 431, 4200-072 Porto, Portugal

Received 30 January 2014; Accepted 18 May 2014; Published 10 June 2014

Academic Editor: Riccardo Caponetto

Copyright © 2014 Edmundo Capelas de Oliveira and José António Tenreiro Machado. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper presents a review of definitions of fractional order derivatives and integrals that appear in mathematics, physics, and engineering.