Modular estimates for nonlinear integral operators and applications in fractional calculus: Fractional calculus

Modular estimates for nonlinear integral operators and applications in fractional calculus: Fractional calculus

Here we give several modular estimates for nonlinear integral operators of the form Tƒ(s) = ∫ R + N K (t, s, ƒ(t))dt in Musielak-Orlicz spaces. Moreover, we also furnish a superposition theorem for operators with homogeneous kernels and as applications, we obtain estimates in fractional Musielak-Orl...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Numerical functional analysis and optimization 1996-01, Vol.17 (1-2), p.143-165
Hauptverfasser: Ilaria, Mantellini, Gianluca, Vinti
Format: Artikel
Sprache:eng
Schlagworte:
Exact sciences and technology
Functional analysis
Mathematical analysis
Mathematics
Operator theory
Sciences and techniques of general use
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:Here we give several modular estimates for nonlinear integral operators of the form Tƒ(s) = ∫ R + N K (t, s, ƒ(t))dt in Musielak-Orlicz spaces. Moreover, we also furnish a superposition theorem for operators with homogeneous kernels and as applications, we obtain estimates in fractional Musielak-Orlicz spaces.
ISSN:0163-0563
1532-2467
DOI:10.1080/01630569608816688