Araştırma Makalesi
Unique determination of the initial values of the time-fractional diffusion-wave equation by lateral Cauchy data
Öz
This paper focuses on the determination of initial values in fractional wave equations. As
is known, there are two initial conditions in fractional wave equations, and we aim to reconstruct these two unknown quantities through the minimum possible lateral Cauchy data.
We construct the Liouville theorem on complex plane cutting of the negative axis, which
helps us to prove the uniqueness of the inverse problem under consideration. In the final
section of this paper, we propose an algorithm that utilizes lateral Cauchy data to recover
the two initial values.
Anahtar Kelimeler
Kaynakça
- s [1] D.A. Benson, S.W. Wheatcraft and M.M. Meerschaert, Application of a fractional advection-dispersion equation, Water ResourRes. 36 (6), 1403-1412, 20
Yıl 2025,
Erken Görünüm, 1 - 13
Öz
Kaynakça
- s [1] D.A. Benson, S.W. Wheatcraft and M.M. Meerschaert, Application of a fractional advection-dispersion equation, Water ResourRes. 36 (6), 1403-1412, 20
Toplam 1 adet kaynakça vardır.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Kısmi Diferansiyel Denklemler |
| Bölüm | Matematik |
| Yazarlar | |
| Erken Görünüm Tarihi | 11 Nisan 2025 |
| Yayımlanma Tarihi | |
| Gönderilme Tarihi | 31 Temmuz 2024 |
| Kabul Tarihi | 18 Şubat 2025 |
| Yayımlandığı Sayı | Yıl 2025 Erken Görünüm |