Well-Posedness and Stability Results for An Integro-Differential Porous-Elastic System with Time Delay Term
Mathematical Methods in the Applied Sciences, 2026 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Publication Date: 2026
- Doi Number: 10.1002/mma.70877
- Journal Name: Mathematical Methods in the Applied Sciences
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Applied Science & Technology Source, Compendex, INSPEC, MathSciNet, zbMATH, Academic Search Ultimate (EBSCO), Materials Science & Engineering Collection (ProQuest), Technology Collection (ProQuest)
- Keywords: existence, exponential decay, polynomial decay, porous-elastic system, time delay, uniqueness
- Hakkari University Affiliated: Yes
Abstract
This paper is concerned with the integro-differential porous-elastic system with delay term. Firstly, we establish the global existence and uniqueness results utilizing Faedo-Galerkin approximations along with some energy estimates. Later, by using energy method and by constructing a suitable Lyapunov functional, we prove an exponential decay result under some conditions. While the polynomial decay of solutions result is established by utilizing the second-order energy method. These results generalize and improve some earlier related results in the literature.