Existence and uniqueness of solutions for nonlinear hybrid implicit Caputo-Hadamard fractional differential equations

Existence and uniqueness of solutions for nonlinear hybrid implicit Caputo-Hadamard fractional differential equations

In this paper, we use the contraction mapping principle to obtain the existence, interval of existence and uniqueness of solutions for nonlinear hybrid implicit Caputo-Hadamard fractional differential equations. We also use the generalization of Gronwall’s inequality to show the estimate of the solu...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Results in nonlinear analysis 2019-11, Vol.2 (3), p.136-142
1. Verfasser: Abdelouaheb Ardjouni, Ahcene Djoudi
Format: Artikel
Sprache:eng
Schlagworte:
caputo-hadamard fractional derivatives
existence uniqueness
fixed point theorems
implicit fractional differential equations
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, we use the contraction mapping principle to obtain the existence, interval of existence and uniqueness of solutions for nonlinear hybrid implicit Caputo-Hadamard fractional differential equations. We also use the generalization of Gronwall’s inequality to show the estimate of the solutions.
ISSN:2636-7556
2636-7556