ENGLISH

Stabilization for Some Fractional-Evolution Systems

By Kaïs Ammari , Fathi Hassine , Luc Robbiano

Book information

Publisher
Springer
Year
2022
ISBN
3031173422, 9783031173424
Language
english
Format
PDF
Filesize
872 kB (892696 bytes)
Series
SpringerBriefs in Mathematics
Pages
72\73
Time added
2022-10-22 19:29:42

Description

This brief provides unified methods for the stabilization of some fractional evolution systems, nicely complementing existing literature on fractional calculus. The volume is divided into three chapters, the first of which considers the stabilization for some abstract evolution equations with a fractional damping, the second of which validates the abstract results of chapter 1 on concrete examples, and the third of which studies the stabilization of fractional evolution systems with memory. Contents 1 Introduction 2 Fractional Feedback Stabilization for a Class of Evolution Systems 2.1 Introduction 2.2 Augmented Model 2.3 Well-Posedness 2.4 Strong Stabilization 2.5 Lack of Uniform Stabilization 2.6 Non-Uniform Stabilization 3 Applications to the Fractional-Damped Wave Equation 3.1 Internal Fractional-Damped Wave Equation 3.2 Fractional-Kelvin-Voigt Damped Wave Equation 3.3 Pointwise Fractional-Damped String Equation 4 Stabilization of Fractional Evolution Systems with Memory 4.1 Introduction 4.2 Well-Posedness and Exponential Stabilization 4.3 Polynomial Stabilization 4.4 Extension to Some Integro-Differential Equation Bibliography

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