- 作 者：（法）萨巴蒂尔（J.Sabatier），O.P.Agrawal，J.A.Tenreiro Machado著
- 出 版 社：北京/西安：世界图书出版公司
- 出版年份：2014
- ISBN：9787510077845
- 注意：在使用云解压之前，请认真核对实际PDF页数与内容!
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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