Simple Identification of Fractional Differential Equation

Abstract:

In this paper the simple identification problem for fractional differential equation of Caputo type was considered. This is the problem of estimation parameters, for which the quadratic criterion is minimized. For solving this issue, the Non Linear Programing technique, based on Marquardt algorithm, was used. At the end of article the results for numerical experiments was presented.

• Periodical: Solid State Phenomena (Volume 180)
• Pages: 331-338
• DOI: https://doi.org/10.4028/www.scientific.net/SSP.180.331
• Online since: November 2011
• Authors: Wojciech Mitkowski, Anna Obrączka
• Keywords: Fractional Order System, Nonlinear Parameters Estimation, System Identification Methods

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