التفاصيل البيبلوغرافية
| العنوان: |
Stabilization for a degenerate wave equation with drift and potential term with boundary fractional derivative control. |
| 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 |