Simple Identification of Fractional Differential Equation

Author:

Mitkowski Wojciech1,Obrączka Anna1

Affiliation:

1. AGH University of Science and Technology

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.

Publisher

Trans Tech Publications, Ltd.

Subject

Condensed Matter Physics,General Materials Science,Atomic and Molecular Physics, and Optics

Reference12 articles.

1. Mitkowski W. Approximation of Fractional Diffusion-Wave Equation. Acta Mechanica et Automatica, vol. 5 no. 2, 2011, in print.

2. Weilbeer M. Efficient Numerical Methods for Fractional Differential Equations and their Analytical, Technischen Universität Braunschweig, Doctors Dissertation, 1-224, (2005).

3. Kaczorek T. Positive fractional linear systems, Pomiary Automatyka Robotyka, No. 2, 91-112, (2011).

4. Busłowicz M. Wybrane zagadnienia z zakresu liniowych, ciągłych układów niecałkowitego rzędu, Pomiary Automatyka Robotyka, no. 2, 93-114, (2010).

5. Murillo J. Q., Yuste S. B . An Explicit Difference Method for Solving Fractional Diffusion and Diffusion-Wave Equations in the Caputo Form, Journal of Computational and Nonlinear Dynamics, vol. 6, (2011).

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