Global existence and asymptotic behavior for a time fractional reaction–diffusion system

Ahmed Alsaedi; Mokhtar Kirane; Rafika Lassoued

doi:10.1016/j.camwa.2016.05.006

Global existence and asymptotic behavior for a time fractional reaction–diffusion system

Ahmed Alsaedi, Mokhtar Kirane, Rafika Lassoued

Mathematics

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

15 Scopus citations

Abstract

This paper is concerned with the existence of global in time solutions of a time fractional reaction–diffusion system with time fractional derivatives. Furthermore, the large time behavior of bounded solutions is investigated. Our method of proof relies on a maximal regularity result for fractional linear reaction–diffusion equations that has been derived by Bajlekova (2001).

Original language	British English
Pages (from-to)	951-958
Number of pages	8
Journal	Computers and Mathematics with Applications
Volume	73
Issue number	6
DOIs	https://doi.org/10.1016/j.camwa.2016.05.006
State	Published - 15 Mar 2017

Keywords

Asymptotic behavior
Balance law
Fractional calculus
Global existence
Reaction–diffusion equations

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10.1016/j.camwa.2016.05.006

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abstract = "This paper is concerned with the existence of global in time solutions of a time fractional reaction–diffusion system with time fractional derivatives. Furthermore, the large time behavior of bounded solutions is investigated. Our method of proof relies on a maximal regularity result for fractional linear reaction–diffusion equations that has been derived by Bajlekova (2001).",

keywords = "Asymptotic behavior, Balance law, Fractional calculus, Global existence, Reaction–diffusion equations",

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AU - Kirane, Mokhtar

AU - Lassoued, Rafika

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N2 - This paper is concerned with the existence of global in time solutions of a time fractional reaction–diffusion system with time fractional derivatives. Furthermore, the large time behavior of bounded solutions is investigated. Our method of proof relies on a maximal regularity result for fractional linear reaction–diffusion equations that has been derived by Bajlekova (2001).

AB - This paper is concerned with the existence of global in time solutions of a time fractional reaction–diffusion system with time fractional derivatives. Furthermore, the large time behavior of bounded solutions is investigated. Our method of proof relies on a maximal regularity result for fractional linear reaction–diffusion equations that has been derived by Bajlekova (2001).

KW - Asymptotic behavior

KW - Balance law

KW - Fractional calculus

KW - Global existence

KW - Reaction–diffusion equations

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EP - 958

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ER -

Global existence and asymptotic behavior for a time fractional reaction–diffusion system

Abstract

Keywords

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