Initial‐boundary value and interface problems on the real half line for the fractional advection–diffusion‐type equation

We use the unified transform method (UTM) to solve initial‐boundary value problems for the fractional advection–diffusion‐type equation (FADE) on the real half line. We generalize this equation using the modified definition of the Atangana–Baleanu fractional derivative of order α∈(0,1]$$ \alpha \in...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	Mathematical methods in the applied sciences 2024-05, Vol.47 (7), p.6234-6271
Hauptverfasser:	Mariano‐Morales, Jesús, Vivas‐Cruz, Luis Xavier, Taneco‐Hernández, Marco Antonio
Format:	Artikel
Sprache:	eng
Schlagworte:	Advection Advection-diffusion equation Boundary conditions Boundary value problems derivatives with non‐singular kernel Differential equations Dirichlet problem Exact solutions Fractional calculus interface problem Mathematical analysis Operators (mathematics) time‐fractional differential equation unified transform method
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!