Academic Journal
Stabilization for a degenerate wave equation with drift and potential term with boundary fractional derivative control.
| العنوان: | Stabilization for a degenerate wave equation with drift and potential term with boundary fractional derivative control. |
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| المؤلفون: | Issa, Ibtissam1 ibtissam.issa@uniba.it, Hajjej, Zayd2 |
| المصدر: | Electronic Research Archive. Aug2024, Vol. 32 Issue 8, p1-28. 28p. |
| مصطلحات موضوعية: | *CAPUTO fractional derivatives, *WAVE equation, *MATHEMATICAL singularities, *MATHEMATICAL bounds, *MATHEMATICAL notation |
| مستخلص: | This paper explores the boundary stabilization of a degenerate wave equation in the non-divergence form, which includes a drift term and a singular potential term. Additionally, we introduce boundary fractional derivative damping at the endpoint where divergence is absent. Using semi-group theory and the multiplier method, we establish polynomial stability, with a decay rate depending upon the order of the fractional derivative. [ABSTRACT FROM AUTHOR] |
| قاعدة البيانات: | Academic Search Index |
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