Approximate solution for a 2-D fractional differential equation with discrete random noise

Approximate solution for a 2-D fractional differential equation with discrete random noise

We study a boundary value problem for a 2-D fractional differential equation (FDE) with random noise. This problem is not well-posed. Hence, we use truncated regularization method to establish regularized solutions for the such problem. Finally, the convergence rate of this approximate solution and...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Chaos, solitons and fractals solitons and fractals, 2020-04, Vol.133, p.109650, Article 109650
Hauptverfasser: Tuan, Nguyen Huy, Baleanu, Dumitru, Thach, Tran Ngoc, O’Regan, Donal, Can, Nguyen Huu
Format: Artikel
Sprache:eng
Schlagworte:
Fractional differential equation
Mathematics
Mathematics, Interdisciplinary Applications
Physical Sciences
Physics
Physics, Mathematical
Physics, Multidisciplinary
Random noise
Regularization
Science & Technology
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We study a boundary value problem for a 2-D fractional differential equation (FDE) with random noise. This problem is not well-posed. Hence, we use truncated regularization method to establish regularized solutions for the such problem. Finally, the convergence rate of this approximate solution and a numerical example are investigated.
ISSN:0960-0779
1873-2887
DOI:10.1016/j.chaos.2020.109650