Decay rate of the solutions to the Bresse-Cattaneo system with distributed delay

This study examines the pace at which solutions to a Bresse system in combination with the Cattaneo law of heat conduction and the dispersed delay term degradation. We establish our major finding utilizing the energy approach in the Fourier space.

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Published inAIMS mathematics Vol. 8; no. 8; pp. 17890 - 17913
Main Authors Choucha, Abdelbaki, Alharbi, Asma, Cherif, Bahri, Jan, Rashid, Boulaaras, Salah
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2023
Subjects
bresse system
cattaneo's law
decay rate
distributed delay
fourier transform
mathematical operators
partial differential equations
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Abstract This study examines the pace at which solutions to a Bresse system in combination with the Cattaneo law of heat conduction and the dispersed delay term degradation. We establish our major finding utilizing the energy approach in the Fourier space.
AbstractList This study examines the pace at which solutions to a Bresse system in combination with the Cattaneo law of heat conduction and the dispersed delay term degradation. We establish our major finding utilizing the energy approach in the Fourier space.
Author Alharbi, Asma
Choucha, Abdelbaki
Cherif, Bahri
Jan, Rashid
Boulaaras, Salah
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  fullname: Cherif, Bahri
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  organization: Department of Mathematics, University of Swabi, Swabi 23561, KPK Pakistan
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  surname: Boulaaras
  fullname: Boulaaras, Salah
  organization: Department of Mathematics, College of Sciences and Arts, ArRas, Qassim University, Saudi Arabia
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Cites_doi 10.3934/eect.2020074
10.3390/e23020129
10.1007/978-3-663-10629-6
10.1155/2022/9801331
10.57262/die/1356038593
10.2298/FIL2103795C
10.1155/2022/9015775
10.1002/mma.4784
10.1142/S0219199715500455
10.1007/s00245-016-9336-6
10.1002/mma.3305
10.1007/BF00281373
10.1002/mma.6579
10.1142/S0219891614500039
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  doi: 10.1002/mma.4784
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StartPage 17890
SubjectTerms bresse system
cattaneo's law
decay rate
distributed delay
fourier transform
mathematical operators
partial differential equations
Title Decay rate of the solutions to the Bresse-Cattaneo system with distributed delay
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