Abstract
This work is concerned with a problem of a vibrating system of Timoshenko-type in a bounded one-dimensional domain under Dirichlet boundary conditions with two fractional time delays and two internal frictional dampings. Under a smallness condition on the fractional delay and by using a classical semigroup theory we prove existence and uniqueness of solutions. Furthermore, by a frequency domain approach we prove an exponential stability result.
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The authors sincerely thank the referees for their valuable comments. This research work is supported by the General Direction of Scientific Research and Technological Development (DGRSDT), Algeria.
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Adnane, A., Benaissa, A. & Benomar, K. Uniform stabilization for a Timoshenko beam system with delays in fractional order internal dampings. SeMA 80, 283–302 (2023). https://doi.org/10.1007/s40324-022-00286-1
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DOI: https://doi.org/10.1007/s40324-022-00286-1