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Existence of Solutions of Abstract Fractional Impulsive Integrodifferential Equations of Sobolev Type Read chapter Read first chapter

2017 | OriginalPaper | Chapter

Variable-, Fractional-Order Oscillation Element

Authors : Dorota Mozyrska, Piotr Ostalczyk

Published in: Theory and Applications of Non-integer Order Systems

Publisher: Springer International Publishing

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Abstract

The dynamic properties of the variable-, fractional-order oscillation element (VFOOE) are investigated in the paper. The equations and the block diagram are derived. Stability and existence conditions of solutions of proposed systems are considered. For the illustration numerical examples are presented.

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previous chapter Order Composition Properties for Output-Additive Variable-Order Derivative
next chapter Variable-, Fractional-Order Inertial Element
Literature
1.
Agrawal, O., Machado, J.T., Sabatier, J.: Fractional Derivatives and Their Application: Nonlinear Dynamics. Springer, Berlin (2004)
2.
Hilfer, R.: Applications of Fractional Calculus in Physics. World Scientific, Singapore (2000)CrossRefMATH
3.
Ostalczyk, P.: Discrete Fractional Calculus. Applications in Control and Image Processing. Series in Computer Vision, vol. 4. World Scientific Publishing, Singapore (2016)MATH
4.
5.
Kaczorek, T.: Linear Control Systems: Analysis of Multivariable Systems. Wiley, New York (1992)MATH
Metadata
Title
Variable-, Fractional-Order Oscillation Element
Authors
Dorota Mozyrska
Piotr Ostalczyk
Copyright Year
2017
Book
Theory and Applications of Non-integer Order Systems

Print ISBN: 978-3-319-45473-3

Electronic ISBN: 978-3-319-45474-0

Copyright Year: 2017

DOI
https://doi.org/10.1007/978-3-319-45474-0_7