Existence and Continuous Dependence for Fractional Partial Hyperbolic Differential Equations

Existence and Continuous Dependence for Fractional Partial Hyperbolic Differential Equations

This paper is concerned with a class of fractional hyperbolic partial differential equations with the Caputo derivative. Existence and continuous dependence results of solutions are obtained under the hypothesis of the Lipschitz condition without any restriction on the Lipschitz constant. Examples a...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of function spaces 2015-01, Vol.2015 (2015), p.1-7
Hauptverfasser: Dong, Qixiang, Zhu, Lanping, Wu, Guangxian
Format: Artikel
Sprache:eng
Schlagworte:
Boundary value problems
Constants
Constrictions
Dependence
Derivatives
Function space
Hyperbolic differential equations
Lipschitz condition
Partial differential equations
Science
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:This paper is concerned with a class of fractional hyperbolic partial differential equations with the Caputo derivative. Existence and continuous dependence results of solutions are obtained under the hypothesis of the Lipschitz condition without any restriction on the Lipschitz constant. Examples are discussed to illustrate the results.
ISSN:2314-8896
2314-8888
DOI:10.1155/2015/875170