Abstract and Applied Analysis
Volume 2013 (2013), Article ID 205097, 5 pages
http://dx.doi.org/10.1155/2013/205097
Research Article

Fractional Coins and Fractional Derivatives

J. A. Tenreiro Machado

Institute of Engineering, Polytechnic of Porto, Department of Electrical Engineering, Rua Dr. António Bernardino de Almeida 431, 4200-072 Porto, Portugal

Received 3 April 2013; Revised 9 May 2013; Accepted 10 May 2013

Academic Editor: Dumitru Baleanu

Copyright © 2013 J. A. 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.

Abstract

This paper discusses the fundamentals of negative probabilities and fractional calculus. The historical evolution and the main mathematical concepts are discussed, and several analogies between the two apparently unrelated topics are established. Based on the new conceptual perspective, some experiments are performed shading new light into possible future progress.