1. Preface

   • J. A. Tenreiro Machado

   Preface Pages: 1 - 2

2. A Predictor-Corrector Approach for the Numerical Solution of Fractional Differential Equations

   • Kai Diethelm
   • Neville J. Ford
   • Alan D. Freed

   OriginalPaper Pages: 3 - 22

3. Markovian Diffusive Representation of Nonrational Distributed Random Processes and Application to Turbulence Simulation over Structures

   • Ph. Mouyon
   • N. Imbert
   • G. Montseny

   OriginalPaper Pages: 23 - 35

4. Finite Element Formulation of Viscoelastic Constitutive Equations Using Fractional Time Derivatives

   • André Schmidt
   • Lothar Gaul

   OriginalPaper Pages: 37 - 55

5. Variable Order and Distributed Order Fractional Operators

   • Carl F. Lorenzo
   • Tom T. Hartley

   OriginalPaper Pages: 57 - 98

6. Fractional Calculus via Functional Calculus: Theory and Applications

   • Siegmar Kempfle
   • Ingo Schäfer
   • Horst Beyer

   OriginalPaper Pages: 99 - 127

7. Time Fractional Diffusion: A Discrete Random Walk Approach

   • Rudolf Gorenflo
   • Francesco Mainardi
   • Paolo Paradisi

   OriginalPaper Pages: 129 - 143

8. Solution for a Fractional Diffusion-Wave Equation Defined in a Bounded Domain

   • Om P. Agrawal

   OriginalPaper Pages: 145 - 155

9. The Fractional Fourier Transform and Harmonic Oscillation

   • M. Alper Kutay
   • Haldun M. Ozaktas

   OriginalPaper Pages: 157 - 172

10. Fractional Discrete-Time Signal Processing: Scale Conversion and Linear Prediction

    • Manuel D. Ortigueira
    • Carlos J. C. Matos
    • Moisés S. Piedade

    OriginalPaper Pages: 173 - 190

11. Analytical Stability Bound for a Class of Delayed Fractional-Order Dynamic Systems

    • YangQuan Chen
    • Kevin L. Moore

    OriginalPaper Pages: 191 - 200

12. Dynamics and Control of Initialized Fractional-Order Systems

    • Tom T. Hartley
    • Carl F. Lorenzo

    OriginalPaper Pages: 201 - 233

13. Describing Function Analysis of Systems with Impacts and Backlash

    • R. S. Barbosa
    • J. A. Tenreiro Machado

    OriginalPaper Pages: 235 - 250

14. A Suggestion of Fractional-Order Controller for Flexible Spacecraft Attitude Control

    • Shunji Manabe

    OriginalPaper Pages: 251 - 268

15. Using Fractional Order Adjustment Rules and Fractional Order Reference Models in Model-Reference Adaptive Control

    • B. M. Vinagre
    • I. Petráš
    • Y. Q. Chen

    OriginalPaper Pages: 269 - 279

16. Analogue Realizations of Fractional-Order Controllers

    • I. Podlubny
    • I. Petráš
    • Ľ. Dorčák

    OriginalPaper Pages: 281 - 296

17. Fractional Motion Control: Application to an XY Cutting Table

    • B. Orsoni
    • P. Melchior
    • G. Robin

    OriginalPaper Pages: 297 - 314

18. Chaotic Phenomena and Fractional-Order Dynamics in the Trajectory Control of Redundant Manipulators

    • Fernando B. M. Duarte
    • J. A. Tenreiro Machado

    OriginalPaper Pages: 315 - 342

19. Fractional Differentiation in Passive Vibration Control

    • X. Moreau
    • C. Ramus-Serment
    • A. Oustaloup

    OriginalPaper Pages: 343 - 362

20. CRONE Control: Principles and Extension to Time-Variant Plants with Asymptotically Constant Coefficients

    • Jocelyn Sabatier
    • Alain Oustaloup
    • Patrick Lanusse

    OriginalPaper Pages: 363 - 385