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1．Analytical and Numerical Techniques 1

Three Classes of FDEs Amenable to Approximation Using a Galerkin Technique&S.J.Singh,A.Chatterjee 3

Enumeration of the Real Zeros of the Mittag-Leffler Function Eα（z），1＜α＜2&J.W.Hanneken,D.M.Vaught,B.N.Narahari Achar 15

The Caputo Fractional Derivative:Initialization Issues Relative to Fractional Differential Equations&B.N.Narahari Achar,C.F.Lorenzo,T.T.Hartley 27

Comparison of Five Numerical Schemes for Fractional Differential Equations&O.P.Agrawal,P.Kumar 43

Suboptimum H2 Pseudo-rational Approximations to Fractional-order Linear Time Invariant Systems&D.Xue,Y.Chen 61

Linear Differential Equations of Fractional Order&B.Bonilla,M.Rivero,J.J.Trujillo 77

Riesz Potentials as Centred Derivatives&M.D.Ortigueira 93

2．Classical Mechanics and Particle Physics 113

On Fractional Variational Principles&D.Baleanu,S.I.Muslih 115

Fractional Kinetics in Pseudochaotic Systems and Its Applications&G.M.Zaslavsky 127

Semi-integrals and Semi-derivatives in Particle Physics&P.W.Krempl 139

Mesoscopic Fractional Kinetic Equations versus a Riemann-Liouville Integral Type&R.R.Nigmatullin,J.J.Trujillo 155

3．Diffusive Systems 169

Enhanced Tracer Diffusion in Porous Media with an Impermeable Boundary&N.Krepysheva,L.Di Pietro,M.C.Néel 171

Solute Spreading in Heterogeneous Aggregated Porous Media&K.Logvinova,M.C.Néel 185

Fractional Advective-Dispersive Equation as a Model of Solute Transport in Porous Media&F.San Jose Martinez,Y.A.Pachepsky,W.J.Rawls 199

Modelling and Identification of Diffusive Systems using Fractional Models&A.Benchellal,T.Poinot,J.C.Trigeassou 213

4．Modeling 227

Identification of Fractional Models from Frequency Data&D.Valério,J.Sá da Costa 229

Dynamic Response of the Fractional Relaxor-Oscillator to a Harmonic Driving Force&B.N.Narahari Achar,J.W.Hanneken 243

A Direct Approximation of Fractional Cole-Cole Systems by Ordinary First-order Processes&M.Haschka,V.Krebs 257

Fractional Multimodels of the Gastrocnemius Muscle for Tetanus Pattern&L.Sommacal,P.Melchior,J.M.Cabelguen,A.Oustaloup,A.Ijspeert 271

Limited-Bandwidth Fractional Differentiator:Synthesis and Application in Vibration Isolation&P.Serrier,X.Moreau,A.Oustaloup 287

5．Electrical Systems 303

A Fractional Calculus Perspective in the Evolutionary Design of Combinational Circuits&C.Reis,J.A.Tenreiro Machado,J.B.Cunha 305

Electrical Skin Phenomena:A Fractional Calculus Analysis&J.A.Tenreiro Machado,I.S.Jesus,A.Galhano,J.B.Cunha,J.K.Tar 323

Implementation of Fractional-order Operators on Field Programmable Gate Arrays&C.X.Jiang,J.E.Carletta,T.T.Hartley 333

Complex Order-Distributions Using Conjugated order Differintegrals&J.L.Adams,T.T.Hartley,C.F.Lorenzo 347

6．Viscoelastic and Disordered Media 361

Fractional Derivative Consideration on Nonlinear Viscoelastic Statical and Dynamical Behavior under Large Pre-displacement&H.Nasuno,N.Shimizu,M.Fukunaga 363

Quasi-Fractals:New Possibilities in Description of Disordered Media&R.R.Nigmatullin,A.P.Alekhin 377

Fractional Damping:Stochastic Origin and Finite Approximations&S.J.Singh,A.Chatterjee 389

Analytical Modelling and Experimental Identification of Viscoelastic Mechanical Systems&G.Catania,S.Sorrentino 403

7．Control 417

LMI Characterization of Fractional Systems Stability&M.Moze,J.Sabatier,A.Oustaloup 419

Active Wave Control for Flexible Structures Using Fractional Calculus&M.Kuroda 435

Fractional-order Control of a Flexible Manipulator&V.Feliu,B.M.Vinagre,C.A.Monje 449

Tuning Rules for Fractional PIDs&D.Valério,J.Sá da Costa 463

Frequency Band-Limited Fractional Differentiator Prefilter in Path Tracking Design&P.Melchior,A.Poty,A.Oustaloup 477

Flatness Control of a Fractional Thermal System&P.Melchior,M.Cugnet,J.Sabatier,A.Poty,A.Oustaloup 493

Robustness Comparison of Smith Predictor-based Control and Fractional-Order Control&P.Lanusse,A.Oustaloup 511

Robust Design of an Anti-windup Compensated 3rd-Generation CRONE Controller&P.Lanusse,A.Oustaloup,J.Sabatier 527

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,I.Podlubny 543