Advances in Fractional Calculus

Table of Contents

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   Book Overview
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   Chapter 1 Three Classes of FDEs Amenable to Approximation Using a Galerkin Technique
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   Chapter 2 Enumeration of the Real Zeros of the Mittag-Leffler Function Eα(z), 1
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   Chapter 3 The Caputo Fractional Derivative: Initialization Issues Relative to Fractional Differential Equation
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   Chapter 4 Comparison of Five Numerical Schemes for Fractional Differential Equations
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   Chapter 5 Suboptimum H2 Pseudo-rational Approximations to Fractional-order Linear Time Invariant Systems
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   Chapter 6 Linear Differential Equations of Fractional Order
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   Chapter 7 Riesz Potentials as Centred Derivatives
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   Chapter 8 On Fractional Variational Principles
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    Chapter 9 Fractional Kinetics in Pseudochaotic Systems and Its Applications
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    Chapter 10 Semi-integrals and Semi-derivatives in Particle Physics
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    Chapter 11 Mesoscopic Fractional Kinetic Equations versus a Riemann–Liouville Integral Type
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    Chapter 12 Enhanced Tracer Diffusion in Porous Media with an Impermeable Boundary
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    Chapter 13 Solute Spreading in Heterogeneous Aggregated Porous Media
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    Chapter 14 Fractional Advective-Dispersive Equation as a Model of Solute Transport in Porous Media
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    Chapter 15 Modelling and Identification of Diffusive Systems using Fractional Models
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    Chapter 16 Identification of Fractional Models from Frequency Data
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    Chapter 17 Dynamic Response of the Fractional Relaxor–Oscillator to a Harmonic Driving Force
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    Chapter 18 A Direct Approximation of Fractional Cole–Cole Systems by Ordinary First-order Processes
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    Chapter 19 Fractional Multimodels of the Gastrocnemius Muscle for Tetanus Pattern
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    Chapter 20 Limited-Bandwidth Fractional Differentiator: Synthesis and Application in Vibration Isolation
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    Chapter 21 A Fractional Calculus Perspective in the Evolutionary Design of Combinational Circuits
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    Chapter 22 Electrical Skin Phenomena: A Fractional Calculus Analysis
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    Chapter 23 Implementation of Fractional-order Operators on Field Programmable Gate Arrays
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    Chapter 24 Complex Order-Distributions Using Conjugated order Differintegrals
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    Chapter 25 Fractional Derivative Consideration on Nonlinear Viscoelastic Statical and Dynamical Behavior under Large Pre-Displacement
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    Chapter 26 Quasi-Fractals: New Possibilities in Description of Disordered Media
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    Chapter 27 Fractional Damping: Stochastic Origin and Finite Approximations
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    Chapter 28 Analytical Modelling and Experimental Identification of Viscoelastic Mechanical Systems
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    Chapter 29 LMI Characterization of Fractional Systems Stability
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    Chapter 30 Active Wave Control for Flexible Structures Using Fractional Calculus
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    Chapter 31 Fractional-order Control of a Flexible Manipulator
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    Chapter 32 Tuning Rules for Fractional PIDs
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    Chapter 33 Frequency Band-Limited Fractional Differentiator Prefilter in Path Tracking Design
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    Chapter 34 Flatness Control of a Fractional Thermal System
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    Chapter 35 Robustness Comparison of Smith Predictor-based Control and Fractional-Order Control
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    Chapter 36 Robust Design of an Anti-windup Compensated 3rd-Generation Crone Controller
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    Chapter 37 Robustness of Fractional-order Boundary Control of Time Fractional Wave Equations with Delayed Boundary Measurement Using the Simple Predictor