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October 2002 - 021001
Special Issue on Fractional Order Calculus and Its Applications (revised news)

Nonlinear Dynamics
An International Journal of
Nonlinear Dynamics and Chaos in Engineering Systems
Kluwer Academic Publishers

Special Issue of Fractional Order Calculus and Its Applications
Edited by Prof. J.A.Tenreiro Machado

July - September 2002, Volume 29, Issue 1-4

pp. 1-2   Preface
J. A. Tenreiro Machado
pp. 3-22   A Predictor-Corrector Approach for the Numerical Solution of Fractional Differential Equations
Kai Diethelm, Neville J. Ford, Alan D. Freed
pp. 23-35   Markovian Diffusive Representation of Nonrational Distributed Random Processes and Application to Turbulence Simulation over Structures
Ph. Mouyon, N. Imbert, G. Montseny
pp. 37-55   Finite Element Formulation of Viscoelastic Constitutive Equations Using Fractional Time Derivatives
André Schmidt, Lothar Gaul
pp. 57-98   Variable Order and Distributed Order Fractional Operators
Carl F. Lorenzo, Tom T. Hartley
pp. 99-127   Fractional Calculus via Functional Calculus: Theory and Applications
Siegmar Kempfle, Ingo Schäfer, Horst Beyer
pp. 129-143   Time Fractional Diffusion: A Discrete Random Walk Approach
Rudolf Gorenflo, Francesco Mainardi, Daniele Moretti, Paolo Paradisi
pp. 145-155   Solution for a Fractional Diffusion-Wave Equation Defined in a Bounded Domain
Om P. Agrawal
pp. 157-172   The Fractional Fourier Transform and Harmonic Oscillation
M. Alper Kutay, Haldun M. Ozaktas
pp. 173-190   Fractional Discrete-Time Signal Processing: Scale Conversion and Linear Prediction
Manuel D. Ortigueira, Carlos J. C. Matos, Moisés S. Piedade
pp. 191-200   Analytical Stability Bound for a Class of Delayed Fractional-Order Dynamic Systems
YangQuan Chen, Kevin L. Moore
pp. 201-233   Dynamics and Control of Initialized Fractional-Order Systems
Tom T. Hartley, Carl F. Lorenzo
pp. 235-250   Describing Function Analysis of Systems with Impacts and Backlash
R. S. Barbosa, J. A. Tenreiro Machado
pp. 251-268   A Suggestion of Fractional-Order Controller for Flexible Spacecraft Attitude Control
Shunji Manabe
pp. 269-279   Using Fractional Order Adjustment Rules and Fractional Order Reference Models in Model-Reference Adaptive Control
B. M. Vinagre, I. Petráa, I. Podlubny, Y. Q. Chen
pp. 281-296   Analogue Realizations of Fractional-Order Controllers
I. Podlubny, I. Petráa, B. M. Vinagre, P. O'Leary, =. Dor ák
pp. 297-314   Fractional Motion Control: Application to an XY Cutting Table
B. Orsoni, P. Melchior, A. Oustaloup, Th. Badie, G. Robin
pp. 315-342   Chaotic Phenomena and Fractional-Order Dynamics in the Trajectory Control of Redundant Manipulators
Fernando B. M. Duarte, J. A. Tenreiro Machado
pp. 343-362   Fractional Differentiation in Passive Vibration Control
X. Moreau, C. Ramus-Serment, A. Oustaloup
pp. 363-385   CRONE Control: Principles and Extension to Time-Variant Plants with Asymptotically Constant Coefficients
Jocelyn Sabatier, Alain Oustaloup, Aitor Garcia Iturricha, Patrick Lanusse