Decay integral solutions for a class of impulsive fractional differential equations in Banach spaces

Decay integral solutions for a class of impulsive fractional differential equations in Banach spaces

The aim of this paper is to establish the existence of decay integral solutions to a class of retarded fractional differential equations involving impulsive effects. The results are obtained by using the fixed point approach and fractional calculus tools in Banach spaces. Applications to both ordina...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Fractional calculus & applied analysis 2014-03, Vol.17 (1), p.96-121
Hauptverfasser: Ke, Tran Dinh, Lan, Do
Format: Artikel
Sprache:eng
Schlagworte:
Abstract Harmonic Analysis
Analysis
Functional Analysis
Integral Transforms
Mathematics
Mathematics and Statistics
Operational Calculus
Research Paper
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:The aim of this paper is to establish the existence of decay integral solutions to a class of retarded fractional differential equations involving impulsive effects. The results are obtained by using the fixed point approach and fractional calculus tools in Banach spaces. Applications to both ordinary and partial differential equations are presented.
ISSN:1311-0454
1314-2224
DOI:10.2478/s13540-014-0157-5