- fractional calculus modelling


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April 2003 - 030401
Numerical aspects of Fractional differential equations: recent papers by K. Diethelm

Priv.-Doz. Dr. Kai Diethelm
Institut für Angewandte Mathematik
Technische Universität Braunschweig
Pockelsstraße 14
38106 Braunschweig
Tel. +49 531 391-7541 Fax +49 531 391-8206


K. Diethelm, N. J. Ford:
Analysis of fractional differential equations.
J. Math. Anal. Appl. 265 (2002), 229-248.

K. Diethelm, N. J. Ford, A. D. Freed:
A Predictor-Corrector Approach for the Numerical Solution of Fractional
Differential Equations.
Nonlinear Dynamics, 29 (2002), 3-22.

K. Diethelm, N. J. Ford:
Numerical solution of the Bagley-Torvik equation.
BIT 42 (2002), 490-507.

K. Diethelm:
Predictor-corrector strategies for single- and multi-term fractional
differential equations.
In E. A. Lipitakis (ed.): Proceedings of the 5th Hellenic-European
Conference on Computer Mathematics and its Applications. LEA Press, Athens
(2002), 117-122.

K. Diethelm, Y. Luchko:
Numerical solution of linear multi-term initial value problems of
fractional order.
J. Comput. Anal. Appl. (2003), to appear.

K. Diethelm, N. J. Ford:
The Numerical Solution of Linear and Non-Linear Fractional Differential
Equations Involving Fractional Derivatives of Several Orders.
Numerical Analysis Report 379,
Manchester Centre for Computational Mathematics.

K. Diethelm, N. J. Ford, A. D. Freed:
Detailed Error Analysis for a Fractional Adams Method.
Berichte der Mathematischen Institute der TU Braunschweig 02/02.