Existence and Blowup for a Plate Equation With a Fractional Time Delay Term With Logarithmic Nonlinearity

Erkan Sancar, Erhan Pişkin and Ercan Çelik

Discrete Dynamics in Nature and Society, 2026, vol. 2026, 1-9

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.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:6391752

DOI: 10.1155/ddns/6391752

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