Agrawal, Om Prakash
Advances in Fractional Calculus
Part 1. Analytical and Numerical Techniques
1. Three Classes of FDEs Amenable to Approximation Using a Galerkin Technique
Satwinder Jit Singh, Anindya Chatterjee
2. Enumeration of the Real Zeros of the Mittag-Leffler Function Ea(z), 1 <a< 2
John W. Hanneken, David M. Vaught, B. N. Narahari Achar
3. The Caputo Fractional Derivative: Initialization Issues Relative to Fractional Differential Equation
B. N. Narahari Achar, Carl F. Lorenzo, Tom T. Hartley
4. Comparison of Five Numerical Schemes for Fractional Differential Equations
Om Prakash Agrawal, Pankaj Kumar
5. Suboptimum H2 Pseudo-rational Approximations to Fractional-order Linear Time Invariant Systems
Dingyü Xue, YangQuan Chen
6. Linear Differential Equations of Fractional Order
Blanca Bonilla, Margarita Rivero, Juan J. Trujillo
7. Riesz Potentials as Centred Derivatives
Manuel Duarte Ortigueira
Part 2. Classical Mechanics and Particle Physics
8. On Fractional Variational Principles
Dumitru Baleanu, Sami I. Muslih
9. Fractional Kinetics in Pseudochaotic Systems and Its Applications
George M. Zaslavsky
10. Semi-integrals and Semi-derivatives in Particle Physics
Peter W. Krempl
11. Mesoscopic Fractional Kinetic Equations versus a Riemann–Liouville Integral Type
Raoul R. Nigmatullin, Juan J. Trujillo
Part 3. Diffusive Systems
12. Enhanced Tracer Diffusion in Porous Media with an Impermeable Boundary
N. Krepysheva, L. Di Pietro, M. C. Néel
13. Solute Spreading in Heterogeneous Aggregated Porous Media
Kira Logvinova, Marie Christine Néel
14. Fractional Advective-Dispersive Equation as a Model of Solute Transport in Porous Media
F. San Jose Martinez, Y. A. Pachepsky, W. J. Rawls
15. Modelling and Identification of Diffusive Systems using Fractional Models
Amel Benchellal, Thierry Poinot, Jean-Claude Trigeassou
Part 4. Modeling
16. Identification of Fractional Models from Frequency Data
Duarte Valério, José Sá da Costa
17. Dynamic Response of the Fractional Relaxor–Oscillator to a Harmonic Driving Force
B. N. Narahari Achar, John W. Hanneken
18. A Direct Approximation of Fractional Cole–Cole Systems by Ordinary First-order Processes
Markus Haschka, Volker Krebs
19. Fractional Multimodels of the Gastrocnemius Muscle for Tetanus Pattern
Laurent Sommacal, Pierre Melchior, Jean-Marie Cabelguen, Alain Oustaloup, Auke Ijspeert
20. Limited-Bandwidth Fractional Differentiator: Synthesis and Application in Vibration Isolation
Pascal Serrier, Xavier Moreau, Alain Oustaloup
Part 5. Electrical Systems
21. A Fractional Calculus Perspective in the Evolutionary Design of Combinational Circuits
Cecília Reis, J. A. Tenreiro Machado, J. Boaventura Cunha
22. Electrical Skin Phenomena: A Fractional Calculus Analysis
J. A. Tenreiro Machado, Isabel S. Jesus, Alexandra Galhano, J. Boaventura Cunha, J. K. Tar
23. Implementation of Fractional-order Operators on Field Programmable Gate Arrays
Cindy X. Jiang, Joan E. Carletta, Tom T. Hartley
24. Complex Order-Distributions Using Conjugated order Differintegrals
Jay L. Adams, Tom T. Hartley, Carl F. Lorenzo
Part 6. Viscoelastic and Disordered Media
25. Fractional Derivative Consideration on Nonlinear Viscoelastic Statical and Dynamical Behavior under Large Pre-Displacement
Hiroshi Nasuno, Nobuyuki Shimizu, Masataka Fukunaga
26. Quasi-Fractals: New Possibilities in Description of Disordered Media
R. R. Nigmatullin, A. P. Alekhin
27. Fractional Damping: Stochastic Origin and Finite Approximations
Satwinder Jit Singh, Anindya Chatterjee
28. Analytical Modelling and Experimental Identification of Viscoelastic Mechanical Systems
Giuseppe Catania, Silvio Sorrentino
Part 7. Control
29. LMI Characterization of Fractional Systems Stability
Mathieu Moze, Jocelyn Sabatier, Alain Oustaloup
30. Active Wave Control for Flexible Structures Using Fractional Calculus
Masaharu Kuroda
31. Fractional-order Control of a Flexible Manipulator
Vicente Feliu, Blas M. Vinagre, Concepción A. Monje
32. Tuning Rules for Fractional PIDs
Duarte Valério, José Sá da Costa
33. Frequency Band-Limited Fractional Differentiator Prefilter in Path Tracking Design
Pierre Melchior, Alexandre Poty, Alain Oustaloup
34. Flatness Control of a Fractional Thermal System
Pierre Melchior, Mikaël Cugnet, Jocelyn Sabatier, Alexandre Poty, Alain Oustaloup
35. Robustness Comparison of Smith Predictor-based Control and Fractional-Order Control
Patrick Lanusse, Alain Oustaloup
36. Robust Design of an Anti-windup Compensated 3rd-Generation Crone Controller
Patrick Lanusse, Alain Oustaloup, Jocelyn Sabatier
37. Robustness of Fractional-order Boundary Control of Time Fractional Wave Equations with Delayed Boundary Measurement Using the Simple Predictor
Jinsong Liang, Weiwei Zhang, YangQuan Chen, Igor Podlubny
DRM-restrictions
Printing: not available
Clipboard copying: not available
- Author(s)
- Agrawal, Om Prakash
- Machado, J. A. Tenreiro
- Sabatier, Jocelyn
- Publisher
- Springer
- Publication year
- 2007
- Language
- en
- Edition
- 1
- Category
- Technology, Energy, Traffic
- Format
- Ebook
- eISBN (PDF)
- 9781402060427