Preface
1. Analytical and Numerical Techniques
Three Classes of FDEs Amenable to Approximation Using a Galerkin
Technique
S. J. Singh, A. Chatterjee
Enumeration of the Real Zeros of the Mittag-Leffler Function Ea(z),
l
J. W. Hanneken, D. M. Vaught, B. N. Narahari Achar
The Caputo Fractional Derivative: Initialization Issues Relative
to Fractional Differential Equations
B. N. Narahari Aehar, C. F. Lorenzo, T. T. Hartley
Comparison of Five Numerical Schemes for Fractional Differential
Equations
O. P. Agrawal, P. Kumar
Suboptimum H2 Pseudo-rational Approximations to Fractional-
order Linear Time Invariant Systems
D. Xue, Y. Chen
Linear Differential Equations of Fractional Order
B. Bonilla, M. Rivero, J. J. Trujillo
Riesz Potentials as Centred Derivatives
M. D. Ortigueira
2. Classical Mechanics and Particle Physics
On Fractional Variational Principles
D. Baleanu, S. I. Muslih
Fractional Kinetics in Pseudochaotic Systems and Its Applications
G. M. Zaslavsky
Semi-integrals and Semi-derivatives in Particle Physics
P. W. Krempl
Mesoscopic Fractional Kinetic Equations versus a Riemann-Liouville
Integral Type
R. R. Nigmatullin, J. J. Trujillo
3. Diffusive Systems
Enhanced Tracer Diffusion in Porous Media with an Impermeable
Boundary
N. Krepysheva, L. Di Pietro, M. C. Ndel
Solute Spreading in Heterogeneous Aggregated Porous Media
K. Logvinova, M. C. Ndel
Fractional Advective-Dispersive Equation as a Model of Solute
Transport in Porous Media
F. San Jose Martinez, Y. A. Pachepsky, W. J. Rawls
Modelling and Identification of Diffusive Systems using Fractional
Models
A. Benchellal, T. Poinot, J. C. Trigeassou
4. Modeling
Identification of Fractional Models from Frequency Data
D. Val~rio, J. Sd da Costa
Dynamic Response of the Fractional Relaxor-Oscillator to a Harmonic
Driving Force
B. N. Narahari Achar, J. W. Hanneken
A Direct Approximation of Fractional Cole-Cole Systems by Ordinary
First-order Processes
M. Haschka, K Krebs
Fractional Multimodels of the Gastrocnemius Muscle for Tetanus
Pattern
L. Sommacal, P. Melchior, J. M. Cabelguen, A. Oustaloup, A. Ijspeert
Limited-Bandwidth Fractional Differentiator: Synthesis and
Application in Vibration Isolation
P. Serrier, X. Moreau, A. Oustaloup
5. Electrical Systems
A Fractional Calculus Perspective in the Evolutionary Design
of Combinational Circuits
C. Reis, J. A. Tenreiro Machado, J. B. Cunha
Electrical Skin Phenomena: A Fractional Calculus Analysis
J. A. Tenreiro Machado, I. S. Jesus, A. Galhano, J. B. Cunha,
J. K. Tar
Implementation of Fractional-order Operators on Field Programmable
Gate Arrays
C. X. Jiang, J. E. Carletta, T. T. Hartley
Complex Order-Distributions Using Conjugated order Differintegrals
J. L. Adams, T. T. Hartley, C. F. Lorenzo
6. Viscoelastic and Disordered Media :
Fractional Derivative Consideration on Nonlinear Viscoelastic Statical
and Dynamical Behavior under Large Pre-displacement
H. Nasuno, N. Shimizu, M. Fukunaga
Quasi-Fractals: New Possibilities in Description of Disordered Media...
R. R. Nigmatullin, A. P. Alekhin
Fractional Damping: Stochastic Origin and Finite Approximations
S. J. Singh, A. Chatterjee
Analytical Modelling and Experimental Identification of Viscoelastic
Mechanical Systems
G. Catania, S. Sorrentino
7. Control
LMI Characterization of Fractional Systems Stability
M. Moze, J. Sabatier, A. Oustaloup
Active Wave Control for Flexible Structures Using Fractional
Calculus
M. Kuroda
Fractional-order Control of a Flexible Manipulator
V. Feliu, B. M. Vinagre, C. A. Monje
Tuning Rules for Fractional PIDs
D. Valerio, J. Sa da Costa
Frequency Band-Limited Fractional Differentiator Prefilter in Path
Tracking Design
P. Melchior, A. Poty, A. Oustaloup
Flatness Control of a Fractional Thermal System
P. Melchior, M. Cugnet, J. Sabatier, A. Poty, A. Oustaloup
Robustness Comparison of Smith Predictor-based Control
and Fractional-Order Control
P. Lanusse, A. Oustaloup
Robust Design of an Anti-windup Compensated 3rd-Generation
CRONE Controller
P. Lanusse, A. Oustaloup, J. Sabatier
Robustness of Fractional-order Boundary Control of Time Fractional
Wave Equations with Delayed Boundary Measurement Using
the Smith Predictor
J. Liang, W. Zhang, Y. Chen, L Podlubny
