Advances in Fractional Calculus Theoretical Developments and Applications in Physics and Engineering /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Sabatier, Jocelyn (Editor), Agrawal, Om Prakash (Editor), Machado, J. A. Tenreiro (Editor)
• Format: Electronic eBook
• Language: English
• Published: Dordrecht : Springer Netherlands, 2007.
• Subjects: Engineering.; Computer simulation.; System theory.; Physics.; Applied mathematics.; Engineering mathematics.; Mechanical engineering.; Electrical engineering.; Appl.Mathematics/Computational Methods of Engineering.; Simulation and Modeling.; Systems Theory, Control.; Theoretical, Mathematical and Computational Physics.; Mechanical Engineering.; Electrical Engineering.

In the last two decades, fractional (or non integer) differentiation has played a very important role in various fields such as mechanics, electricity, chemistry, biology, economics, control theory and signal and image processing. For example, in the last three fields, some important considerations...

Table of Contents:

• Analytical and Numerical Techniques
• Three Classes of FDEs Amenable to Approximation Using a Galerkin Technique
• Enumeration of the Real Zeros of the Mittag-Leffler Function E?(z), 1 Operators on Field Programmable Gate Arrays
• Complex Order-Distributions Using Conjugated order Differintegrals
• Viscoelastic and Disordered Media
• Fractional Derivative Consideration on Nonlinear Viscoelastic Statical and Dynamical Behavior under Large Pre-Displacement
• Quasi-Fractals: New Possibilities in Description of Disordered Media
• Fractional Damping: Stochastic Origin and Finite Approximations
• Analytical Modelling and Experimental Identification of Viscoelastic Mechanical Systems
• Control
• LMI Characterization of Fractional Systems Stability
• Active Wave Control for Flexible Structures Using Fractional Calculus
• Fractional-order Control of a Flexible Manipulator
• Tuning Rules for Fractional PIDs
• Frequency Band-Limited Fractional Differentiator Prefilter in Path Tracking Design
• Flatness Control of a Fractional Thermal System
• Robustness Comparison of Smith Predictor-based Control and Fractional-Order Control
• Robust Design of an Anti-windup Compensated 3rd-Generation Crone Controller
• Robustness of Fractional-order Boundary Control of Time Fractional Wave Equations with Delayed Boundary Measurement Using the Simple Predictor.