Stability result for Lord Shulman swelling porous thermo-elastic soils with distributed delay term

Choucha Abdelbaki; Boulaaras Salah Mahmoud; Jan Rashid

doi:10.1515/math-2023-0165

Open Mathematics (Dec 2023)

Stability result for Lord Shulman swelling porous thermo-elastic soils with distributed delay term

Choucha Abdelbaki,
Boulaaras Salah Mahmoud,
Jan Rashid

Affiliations

Choucha Abdelbaki: Department of Material Sciences, Faculty of Sciences, Amar Teledji Laghouat University, Laghouat, Algeria
Boulaaras Salah Mahmoud: Department of Mathematics, College of Sciences and Arts in ArRass, Qassim University, Buraydah, 51452, Saudi Arabia
Jan Rashid: Institute of Energy Infrastructure (IEI), Department of Civil Engineering, College of Engineering, Universiti Tenaga Nasional (UNITEN), Putrajaya Campus, Jalan IKRAM-UNITEN, 43000 Kajang, Selangor, Malaysia

DOI: https://doi.org/10.1515/math-2023-0165
Journal volume & issue: Vol. 21, no. 1
pp. 1337 – 1349

Abstract

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The Lord Shulman swelling porous thermo-elastic soil system with the presence of a distributed delay term is studied in this work. We will establish the well-posedness of the system and the exponential stability of the system is derived.

Published in Open Mathematics

ISSN: 2391-5455 (Online)
Publisher: De Gruyter
Country of publisher: Poland
LCC subjects: Science: Mathematics
Website: https://www.degruyter.com/journal/key/math/html

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