Existence and Blowup for a Plate Equation With a Fractional Time Delay Term With Logarithmic Nonlinearity
Discrete Dynamics in Nature and Society, cilt.2026, sa.1, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 2026 Sayı: 1
- Basım Tarihi: 2026
- Doi Numarası: 10.1155/ddns/6391752
- Dergi Adı: Discrete Dynamics in Nature and Society
- Derginin Tarandığı İndeksler: 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)
- Anahtar Kelimeler: blowup, existence, fractional time delay, logarithmic nonlinearity, plate equation
- Atatürk Üniversitesi Adresli: Hayır
Özet
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.