@inproceedings{65f83c071f7d4b44baef20f0cda691d2,
title = "Time Series Data Analysis Using Fractional Calculus Concepts and Fractal Analysis",
abstract = " A study is conducted on time series data analysis relating the concept of the fractional calculus to fractals and to the fractal dimension. A new definition of the fractal dimension is provided based on a property of the fractional derivative. Using fractional Gaussian noise and fractional Brownian motion, simulations show the information content of a time series can be easily manipulated by the fractional derivative method and generated in real time.",
keywords = "Complex systems, Fractals, Fractional calculus",
author = "Repperger, {D. W.} and Farris, {K. A.} and Barton, {C. C.} and S. Tebbens",
year = "2009",
month = dec,
day = "4",
doi = "10.1109/ICSMC.2009.5346218",
language = "American English",
isbn = "978-1-4244-2793-2",
series = "Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics",
publisher = "IEEE",
pages = "3311--3315",
booktitle = "2009 IEEE International Conference on Systems, Man and Cybernetics",
note = "2009 IEEE International Conference on Systems, Man and Cybernetics, SMC 2009 ; Conference date: 11-10-2009 Through 14-10-2009",
}