Ulam‐Hyers‐Rassias stability for generalized fractional differential equations

Ulam‐Hyers‐Rassias stability for generalized fractional differential equations

In this paper, we present a generalized Gronwall inequality with singularity. Using this inequality, we investigate the existence, uniqueness, and Ulam‐Hyers‐Rassias stability for solutions of a class of generalized nonlinear fractional differential equations of order α (1 

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Mathematical methods in the applied sciences 2021-09, Vol.44 (13), p.10267-10280
Hauptverfasser: Boucenna, Djalal, Ben Makhlouf, Abdellatif, El‐hady, El‐sayed, Hammami, Mohamed Ali
Format: Artikel
Sprache:eng
Schlagworte:
Differential equations
generalized fractional derivative
Mathematical analysis
Mathematics
Mathematics, Applied
nonlinear fractional differential equations
Physical Sciences
Science & Technology
Stability
Ulam–Hyers–Rassias stability
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, we present a generalized Gronwall inequality with singularity. Using this inequality, we investigate the existence, uniqueness, and Ulam‐Hyers‐Rassias stability for solutions of a class of generalized nonlinear fractional differential equations of order α (1 
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.7406