Existence of Absolutely Continuous Fundamental Matrix of Linear Fractional System with Distributed Delays

Existence of Absolutely Continuous Fundamental Matrix of Linear Fractional System with Distributed Delays

The goal of the present paper is to obtain sufficient conditions that guaranty the existence and uniqueness of an absolutely continuous fundamental matrix for a retarded linear fractional differential system with Caputo type derivatives and distributed delays. Some applications of the obtained resul...

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Veröffentlicht in:Mathematics (Basel) 2021-01, Vol.9 (2), p.150
Hauptverfasser: Kiskinov, Hristo, Madamlieva, Ekaterina, Veselinova, Magdalena, Zahariev, Andrey
Format: Artikel
Sprache:eng
Schlagworte:
Banach spaces
Caputo fractional derivative
distributed delay
Food science
Inequality
linear fractional system
Mathematical analysis
Matrix methods
Ordinary differential equations
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Zusammenfassung:The goal of the present paper is to obtain sufficient conditions that guaranty the existence and uniqueness of an absolutely continuous fundamental matrix for a retarded linear fractional differential system with Caputo type derivatives and distributed delays. Some applications of the obtained result concerning the integral representation of the solutions are given too.
ISSN:2227-7390
2227-7390
DOI:10.3390/math9020150