Functional Fractional Calculus for System Identification and Controls

• Main Author: Das, Shantanu (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
• Subjects: Engineering.; Mathematical analysis.; Analysis (Mathematics).; Applied mathematics.; Engineering mathematics.; System theory.; Physics.; Statistical physics.; Dynamical systems.; Appl.Mathematics/Computational Methods of Engineering.; Theoretical, Mathematical and Computational Physics.; Analysis.; Statistical Physics, Dynamical Systems and Complexity.; Applications of Mathematics.; Systems Theory, Control.

When a new extraordinary and outstanding theory is stated, it has to face criticism and skepticism, because it is beyond the usual concept. The fractional calculus though not new, was not discussed or developed for a long time, particularly for lack of its applications to real life problems. It is e...

Table of Contents:

• to Fractional Calculus
• Functions Used in Fractional Calculus
• Observation of Fractional Calculus in Physical System Description
• Concept of Fractional Divergence and Fractional Curl
• Fractional Differintegrations: Insight Concepts
• Initialized Differintegrals and Generalized Calculus
• Generalized Laplace Transform for Fractional Differintegrals
• Application of Generalized Fractional Calculus in Electrical Circuit Analysis
• Application of Generalized Fractional Calculus in Other Science and Engineering Fields
• System Order Identification and Control.