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

Advances in Fractional Calculus Theoretical Developments and Applications in Physics and Engineering / edited by J. Sabatier, O. P. Agrawal, J. A. Tenreiro Machado.

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...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Sabatier, J. (Editor), Agrawal, O. P. (Editor), Tenreiro Machado, J. A. (Editor)
Format: eBook
Language:English
Published: Dordrecht : Springer Netherlands : Imprint: Springer, 2007.
Edition:1st ed. 2007.
Series:Springer eBook Collection.
Subjects:
Applied mathematics.
Engineering mathematics.
Computer simulation.
System theory.
Mathematical physics.
Mechanical engineering.
Electrical engineering.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
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.

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