A Wave Equation with Fractional Damping

Nasser Eddine Tatar

doi:10.4171/ZAA/1165

A Wave Equation with Fractional Damping

Nasser Eddine Tatar^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

We consider a wave equation with an internal damping represented by a fractional derivative of lower order than one. An exponential growth result is proved in presence of a source of polynomial type. This result improves an earlier one where the initial data are supposed to be very large in some norm. A new argument based on a new functional is proposed.

Original language	English
Pages (from-to)	609-617
Number of pages	9
Journal	Zeitschrift fur Analysis und ihre Anwendung
Volume	22
Issue number	3
DOIs	https://doi.org/10.4171/ZAA/1165
State	Published - 2003

Keywords

Exponential growth
Fractional derivative
Internal damping

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.4171/ZAA/1165

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abstract = "We consider a wave equation with an internal damping represented by a fractional derivative of lower order than one. An exponential growth result is proved in presence of a source of polynomial type. This result improves an earlier one where the initial data are supposed to be very large in some norm. A new argument based on a new functional is proposed.",

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AB - We consider a wave equation with an internal damping represented by a fractional derivative of lower order than one. An exponential growth result is proved in presence of a source of polynomial type. This result improves an earlier one where the initial data are supposed to be very large in some norm. A new argument based on a new functional is proposed.

KW - Exponential growth

KW - Fractional derivative

KW - Internal damping

UR - https://www.scopus.com/pages/publications/0344549781

U2 - 10.4171/ZAA/1165

DO - 10.4171/ZAA/1165

M3 - Article

AN - SCOPUS:0344549781

SN - 0232-2064

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JO - Zeitschrift fur Analysis und ihre Anwendung

JF - Zeitschrift fur Analysis und ihre Anwendung

IS - 3

ER -

A Wave Equation with Fractional Damping

Abstract

Keywords

ASJC Scopus subject areas

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