Existence and Blowup for a Plate Equation With a Fractional Time Delay Term With Logarithmic Nonlinearity
Discrete Dynamics in Nature and Society, vol.2026, no.1, 2026 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 2026 Issue: 1
- Publication Date: 2026
- Doi Number: 10.1155/ddns/6391752
- Journal Name: Discrete Dynamics in Nature and Society
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Applied Science & Technology Source, INSPEC, zbMATH, Directory of Open Access Journals, Academic Search Ultimate (EBSCO), Middle East & Africa Database (ProQuest), Technology Collection (ProQuest)
- Keywords: blowup, existence, fractional time delay, logarithmic nonlinearity, plate equation
- Ataturk University Affiliated: No
Abstract
In this paper, we consider a plate equation with a fractional time delay term and logarithmic nonlinearity in a bounded domain. First, we establish the well posedness of solutions using the semigroup theory. Furthermore, we prove the blowup of solutions under suitable conditions. Our results extend and generalize several existing findings in the literature.