Global existence and asymptotic behavior for a fractional differential equation

Salim A. Messaoudi; Belkacem Said-Houari; Nasser eddine Tatar

doi:10.1016/j.amc.2006.11.105

Global existence and asymptotic behavior for a fractional differential equation

Salim A. Messaoudi
, Belkacem Said-Houari
, Nasser eddine Tatar^*

^*Corresponding author for this work

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

24 Scopus citations

Abstract

This paper is concerned with the global existence and asymptotic behavior of solutions to an initial boundary value problem of hyperbolic type. We investigate the interaction between a polynomial source and a dissipation of fractional order. This fractional dissipation is defined by a temporal nonlocal term.

Original language	English
Pages (from-to)	1955-1962
Number of pages	8
Journal	Applied Mathematics and Computation
Volume	188
Issue number	2
DOIs	https://doi.org/10.1016/j.amc.2006.11.105
State	Published - 15 May 2007

Keywords

Exponential decay
Fractional derivative
Polynomial source
Positive definite function
Weakly singular kernel

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.amc.2006.11.105

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title = "Global existence and asymptotic behavior for a fractional differential equation",

abstract = "This paper is concerned with the global existence and asymptotic behavior of solutions to an initial boundary value problem of hyperbolic type. We investigate the interaction between a polynomial source and a dissipation of fractional order. This fractional dissipation is defined by a temporal nonlocal term.",

keywords = "Exponential decay, Fractional derivative, Polynomial source, Positive definite function, Weakly singular kernel",

author = "Messaoudi, \{Salim A.\} and Belkacem Said-Houari and Tatar, \{Nasser eddine\}",

year = "2007",

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doi = "10.1016/j.amc.2006.11.105",

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T1 - Global existence and asymptotic behavior for a fractional differential equation

AU - Messaoudi, Salim A.

AU - Said-Houari, Belkacem

AU - Tatar, Nasser eddine

PY - 2007/5/15

Y1 - 2007/5/15

N2 - This paper is concerned with the global existence and asymptotic behavior of solutions to an initial boundary value problem of hyperbolic type. We investigate the interaction between a polynomial source and a dissipation of fractional order. This fractional dissipation is defined by a temporal nonlocal term.

AB - This paper is concerned with the global existence and asymptotic behavior of solutions to an initial boundary value problem of hyperbolic type. We investigate the interaction between a polynomial source and a dissipation of fractional order. This fractional dissipation is defined by a temporal nonlocal term.

KW - Exponential decay

KW - Fractional derivative

KW - Polynomial source

KW - Positive definite function

KW - Weakly singular kernel

UR - https://www.scopus.com/pages/publications/34248222563

U2 - 10.1016/j.amc.2006.11.105

DO - 10.1016/j.amc.2006.11.105

M3 - Article

AN - SCOPUS:34248222563

SN - 0096-3003

VL - 188

SP - 1955

EP - 1962

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 2

ER -

Global existence and asymptotic behavior for a fractional differential equation

Abstract

Keywords

ASJC Scopus subject areas

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