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

Hristo Kiskinov, Ekaterina Madamlieva, Magdalena Veselinova and Andrey Zahariev
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Hristo Kiskinov: Faculty of Mathematics and Informatics, University of Plovdiv, 4000 Plovdiv, Bulgaria
Ekaterina Madamlieva: Faculty of Mathematics and Informatics, University of Plovdiv, 4000 Plovdiv, Bulgaria
Magdalena Veselinova: Faculty of Mathematics and Informatics, University of Plovdiv, 4000 Plovdiv, Bulgaria
Andrey Zahariev: Faculty of Mathematics and Informatics, University of Plovdiv, 4000 Plovdiv, Bulgaria

Mathematics, 2021, vol. 9, issue 2, 1-18

Abstract: 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.

Keywords: Caputo fractional derivative; linear fractional system; distributed delay (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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